15001   264039778236619390124009152245493117217274884779037073577350579: {973895,1153691,1168674,1302303,1648130,1839711,1977756,2108091,2644203,2936668,3697343,3873863,4195240,4500251,4513791,4719645,4780011,4820018,4917563,5001215,5034288,5446895,5534090,5618625,5663574,5842731,5993200,6001458,6027671,6257042,6428930,6536274,6616298,6640908,6742350,6885740,7025090,7069931,7191431,7191840,7416731,7430331,7671296,7714716,7966751,8090820,8113415,8262888,8430108,8581874,8630208,8806139,9295749,9401663,9441815,9708984,9736098,10017359,10059051,10115063,10200674,10582203,10595330,10657211,10736411,10922607,10998251,11084738,11104491,11150363,11196812,11277578,11330178,11365311,11450543,12170114,12205163,12259820,12406431,12714396,13072418,13216763,13482194,14356379,14450090,14711784,14723015,15033503,15337730,15475151,15689051,15758354,15766203,15835340,15927016,15929090,16476002,16550757,16728683,16866971,16908215,16922171,17332763,17340108,17667618,17917893,17948231,17996188,18255458,18405276,18616463,18768071,18777551,18881090,18974759,19002408,19085132,19114908,19377842,19546631,19597503,19939298,20104671,20238088,20289858,20405063,20818895,20863803,21055874,21083543,21330825,21377709,21742811,21834491,21840818,22124703,22412930,22638191,22657308,22707179,22752880,22767849,22978895,23057531,23274962,23392748,23464763,23538578,24174530,24548663,24761090,24888311,24982674,25377771,25426178,25498732,25596990,25640330,25708840,25965352,26449631,26511863,26584811,26719665,26811530,26844215,26860322,26895516,26902058,27119771,27303456,27574674,27929531,27995548,28500976,28536263,28758028,28922445,28940471,29009436,29085951,29118203,29150090,29211021,29483372,29713308,29935538,30079820,30270071,30716388,30768396,30850608,30893852,30962498,30978472,31192130,31414031,31528895,31636316,31777394,31809125,31923743,31952615,31964891,32063598,32108505,32173836,32176391,32213058,32276498,32939330,33078914,33521090,33626540,33643895,33711911,34249072,34302059,34318312,34471658,34575863,34706934,34775025,34850781,34917951,34980108,35215132,35501162,35554730,35638203,35679842,36095784,36223451,36382274,36426760,36468059,36740951,36929663,36964139,37093360,37121378,37276583,37430556,37576763,37834674,37874090,38036229,38170950,38175431,38304251,38343138,38499771,38530206,38608101,38742530,39074831,39200363,39518015,39527196,39573263,39682911,39899330,39918891,39993640,40220591,40225308,40351848,40372674,40607757,40680098,40715680,40766090,40962551,40980105,41068991,41343530,41393378,41489025,41598815,41649932,41730030,42550139,42665676,42900971,42934108,43195816,43199931,43379771,43670615,43712112,43936571,43937543,44134391,44232140,44254960,44413703,44512032,44556791,44760914,44830511,44992845,45122651,45281225,45395829,45448908,45450011,45517611,45544065,45664130,45748191,45805140,45962025,46202351,46491036,46503863,46554839,46879163,46897991,46985138,47335756,47421618,47470331,47676265,47879196,47992368,48086831,48129671,48143858,48196895,48202024,48580336,48595293,48667432,48858816,48919308,49026160,49176126,49216271,49325416,49363538,49394090,49584491,49612236,49786830,49846811,49918578,50076036,50254796,50314431,50361362,50543963,51226274,51494171,51799874,51847991,52106258,52404738,52565151,53012703,53030540,53078568,53105952,53357663,53459391,53518631,53681090,53682411,53991414,54127803,54135698,54219125,54227277,54318671,54337470,54452354,54536330,54652878,54750861,54796956,54966168,55154430,55317563,55364759,55446818,55491093,55894523,56289863,56478037,56872571,56903663,57105602,57126698,57211518,57648731,57800092,57836274,57959968,58321895,58336652,58436891,58517930,58831392,59198363,59216939,59272908,59713389,59744196,59778551,60295298,60319895,60705003,60947378,61130363,61136571,61334440,61599911,61836939,62092031,62176994,62256503,62533883,62766530,63016552,63049130,63069071,63073898,63636648,63727631,63838898,63906779,64040783,64190303,64345791,64397639,64417308,64460930,64901159,64977563,65062950,65204964,65443596,65552711,65576594,65886376,66060825,66146354,66185316,66202751,66369119,66390098,66417143,66434090,66628874,66668331,66737963,66807208,66997130,67082145,67466231,67499039,67643483,67670428,67782791,67830215,68108950,68230562,68273543,68329451,68458199,68494252,68776940,69001245,69183611,69334991,69400480,69756791,69785015,69986274,70050332,70135751,70148018,70221516,70252139,70266779,70464880,70519340,70893621,71209730,71554288,71591229,71644971,71664251,71666018,71893691,72094871,72118895,72345938,72383874,72466665,72869691,73057391,73185218,73545458,73601328,73681851,73723965,73884351,73999820,74053895,74119451,74122173,74288703,74355842,74514794,74543138,74875451,75090028,75158063,75158109,75198143,75304151,75319836,75587378,75658956,75979895,76142354,76297503,76348991,76474365,76949831,77272658,77297776,77353116,77514215,77692571,77888991,77896895,78075540,78188594,78237314,78266363,78638896,79025090,79036523,79205063,79209740,79270203,79272990,79356311,79466541,79569436,79720908,79962988,80106664,80396556,80414090,80498574,80626079,80640831,80682910,80835771,80887912,80992091,81225003,81246530,81296733,81377714,81396258,81452231,81562871,81572656,81687191,81718348,81730740,81811154,81913874,82102322,82288648,82355330,82452431,82532328,82571560,82586411,82718063,82760231,82801494,83031143,83280576,83289074,83299259,83520491,83742018,83973122,84016936,84078668,84200872,84464879,84547905,84557856,84569090,84623208,84689211,85099415,85384994,85397930,85451676,85985999,86136140,86542674,86672114,86959998,87102602,87107618,87179456,87236543,87310511,87314332,87329090,87506459,87590363,87742754,87766625,87826031,87861074,87896703,88468758,88502363,88799784,88815458,88828203,88864674,89199291,89209895,89373674,89384511,89438363,89807291,90119997,90120332,90184432,90232898,90565739,90693815,90774033,90821416,90998901,91122299,91175874,91386818,91417298,91430663,91567528,91637858,91769238,92199863,92205148,92500203,92574729,92635163,92825090,92848869,92893005,93017058,93097154,93103298,93476274,93646730,93690648,93990143,94003298,94519053,94603025,94725981,94830108,95051688,95111015,95125679,95127588,95201109,95807543,96380330,96386162,96409691,96496908,96538619,96672040,96781825,96819492,96936215,97031423,97298500,97320351,97495836,97685063,98003805,98076888,98116703,98611319,98752415,98826396,98833730,98888351,99001751,99085872,99760151,99899757,...,5385330173049540452934484546420113037859330889034635166483091550420029125684218299212786655044149629276116049503019212337309483664789050289378440537922573710881349175053908855955974164758704886491950270553152992734770042464154315696911398345129677761459744213439057275403684228138757312160711781420886181266989819904589935741326771089664614853925519994425123102483986044779518054556404576825275291248356616290253196715918962050678244962122594827111376191890496598848197477830079321690515716852467243422733239340186082633557798854998213218842998345650663340558879294952697565294280761684060891817641764954583867761980675827639543375676035407649828393100572470901067929105369264123348342316294056281049404068794403974977479808016151367403346630980639863916927398410435510473248361130257607436621014452078563759936928902033297504839165048262086430339522572057278861658538474083319141549275838127220110256252368439239988673026832934780372319281168384598320145518099856083683361524335719808085329938528789655259246778321743992557404119662682185659989524823881716808862779953677598510967537851741610572667109640792243806577213974532910100266729958175154966341579561607583703141055079308886336274316965103473356399738276246173743255070230358011464402998787271665750461833979657017861928617014385630423527056866092302491971673824737096233213530686461770322958624114972080777402626154916911794657071339065399474472655077962936821633584783594944070781950943217682376816931331312471209082595456522027835779783575152481977436447531342903606652235568023321085618873261047275076089926411771599596597570725811659314866768153715011292648684536116331178758207544152691299783822861006132846146506482144231274583635169671250462964130763066242346755785257208168118196988158855219403319848386091048394615118319184789512611982956806089064426480447991633775420719492396089388847414180439381985241049217856035004922977800321393767999524709958433271059160917554791932371818218722393915880875666890128051335405816296286513049160524726859438541587264078846241188860482185796000310292205182238448700758415378400307905672662984418767821915154143274634781079249423240000569901224404851427017703571438310120604934557848907037102673355450918512974028060686662278448384240846399941214814246656831857790273551582425796226693229368310944769559117255583134035273307197584788500031711291615146310178133991417515997701466668}
15002   265235827749210187984666671360815777882234659162880051534491178: {284677,509422,928078,1089817,1178917,1286302,1558232,1584382,1736404,1753011,1822558,2119918,2242501,2452948,2472195,2637008,2682601,2810788,2966634,3068782,3246238,3295717,3364462,3525604,3670835,3895678,3992101,4405002,4425598,4660702,5113897,5130142,5244050,5305918,5456617,5968537,6018388,6292860,6373348,6393157,6712384,6765118,6881422,7113838,7230027,7236997,7491500,7551432,7572517,7751662,7790308,7823401,7925278,8001944,8156542,8240101,8301135,8329822,8495361,8607175,8655001,8715032,8820457,8854544,8989800,9002187,9309022,9385563,9479401,9589120,9643395,9710878,9804411,9907108,9924447,9961362,10113525,10133737,10169182,10286288,10328610,10537635,10702501,10740622,10787760,10911742,11017184,11082718,11240144,11506944,11572074,11749417,11935438,12069097,12136230,12148837,12394332,12645162,12784558,12872811,12897502,12942277,12945312,12981464,13066798,13292302,13412068,13461262,13573822,13884901,13936139,13996015,14109604,14507557,14563476,14604147,14805988,14894377,15087118,15106904,15153748,15301011,15324775,15586117,15662617,15892995,16196101,16256062,16422478,16541908,16627107,16644142,16726057,16795218,16916367,16952528,16995267,17086702,17252398,17551717,17638462,17700901,17708327,18072601,18133678,18255171,18389730,18737182,18901438,19071594,19284142,19393342,19608627,19615712,19794175,19908770,19923739,20120857,20223291,20536078,21021604,21401998,21563902,21675135,21690601,22067676,22182757,22495235,22532137,22719683,23006595,23120144,23225497,23335342,23442142,23556824,23569477,23637531,23753010,23856415,23890524,23893635,24116101,24241102,24540368,24714003,24938354,25297610,25336544,25486544,25880878,25926937,25992997,26010162,26130004,26143918,26322217,26501427,26806228,26910277,26994282,27053144,27106163,27139822,27234457,27244318,27383187,27607914,27749401,27765838,27818404,27941317,28196197,28321635,28386601,28441100,28503612,28576357,28627698,28672362,28855822,29016601,29066763,29240935,29499604,29784478,29908947,29967938,30028523,30071077,30132457,30209744,30246862,30357132,30400702,30434787,30503182,31014622,31167742,31583811,31762501,31873415,32136050,32176537,32387518,32456690,32761227,32820037,32943502,33145198,33310232,33340057,33619395,33683497,33837028,33985962,34049662,34080901,34129320,34349998,34912443,34994435,35048542,35089122,35098318,35307867,35346958,35396638,35580697,35626220,35694382,35793502,35860688,35947535,36090478,36139918,36261795,36404608,36444697,36551401,36710917,36766232,36854215,37141635,37272622,37419742,37446757,37474011,37498777,37599775,37602601,37615678,37796339,38139267,38248098,38270437,38299438,38372101,38395485,38460495,38563260,38617315,38625001,38640142,38679248,38723090,38725657,38781268,38883022,38948028,39222382,39545395,39617744,40187662,40217295,40248997,40290483,40343274,40344901,40353087,40725637,40955184,41024528,41050942,41134144,41242078,41362011,41528302,41611417,41625331,41671198,41748901,41909038,41993322,42033175,42176771,42383518,42478222,42507794,42584003,42751464,42811340,42897890,42898448,42903598,42950744,42957097,43137042,43159739,43218457,43327678,43434277,43514154,43520101,43605637,43725135,44018915,44225058,44358862,44498878,44569962,44650537,44691397,44772901,44903307,45119730,45428638,45533450,45572101,45845017,45983422,46074582,46152594,46167838,46266757,46275912,46340778,46366700,46417957,46443747,46467708,46557268,46581838,46640144,46788195,47131822,47454474,47517604,47548303,47550697,47666091,47866597,48026927,48043342,48095397,48127712,48260754,48319587,48414747,48581017,48746437,49173742,49295401,49308718,49408995,49515397,49546537,49618371,49670377,49802398,49907408,49936702,49974937,49992050,50281635,50439810,50446232,50505001,50591077,50714972,50894600,50917198,51121177,51124184,51333028,51336601,51373608,51477468,51521317,51707487,51845902,51933982,51977998,52060401,52062415,52373422,52463059,52470162,52509157,52532377,52578601,52592542,52702928,52822698,52849897,52872037,52910548,52959877,53225188,53251743,53332095,53442601,53519763,53542501,53601577,53633744,53667635,53768878,53802464,53812222,53830232,53868697,53942158,53994770,54143676,54225817,54242917,54417358,54474757,54569797,54573411,54640140,54752101,54965401,54992617,55006117,55098601,55139483,55224601,55290175,55318700,55400101,55579417,55608901,55637737,55640040,55675177,55682067,55746601,55763737,55805317,55829401,55873918,55960297,56004901,56051557,56078377,56126617,56145834,56182057,56198437,56232601,56236777,56256901,56752011,56811135,56887568,57101662,57227902,57256425,57514707,57599908,57650579,57795309,58113795,58149262,58282816,58357582,58456307,58648558,59169695,59269438,59290794,59349376,59393182,59848995,59990460,60091678,60252530,60255358,60337962,60459598,60527772,60559011,60598544,60690148,60704158,60725420,60826222,60834290,60948142,60997588,61020147,61073520,61149135,61282700,61434382,61656770,61676638,61958542,61988048,62015295,62090067,62474898,62559982,62595045,62610002,62818495,62919118,63228824,63356302,63475198,63838928,63989824,63998514,64067518,64303438,64304251,64401162,64656238,64793724,64890718,65145088,65225744,65568168,65590702,65861518,65977342,66149648,66260051,66288175,66348210,66382440,66400798,66558104,66630958,66768048,66784078,67013278,67085908,67141371,67355998,67635554,68112958,68173362,68263582,68376382,68496195,68707710,68809034,69012862,69124702,69273598,69385102,69736554,69872984,69940462,70086868,70093331,70165043,70235182,70477707,70675342,70683604,70771424,70776923,70807936,71003634,71132427,71222302,71279188,71331262,71376074,71576548,71818794,71988552,72002567,72170404,72215787,72250115,72303036,72341278,72449960,72734638,72870504,72920815,73001148,73062608,73090558,73197022,73255247,73288224,73378962,73454263,73514819,73539240,73675763,73764189,73988124,74045307,74091135,74112379,74418354,74428462,74680245,74877867,74950222,74984878,75114054,75296062,75382194,75542043,75811822,75880318,76282024,76493902,76668050,76839411,77115032,77203198,77236798,77538478,77605342,77699811,77938702,78159387,78441856,78607107,78770690,78911378,78994702,79030544,79092862,79468739,79545810,79617852,79658928,79678798,80121587,80521635,80675758,80771422,80940004,80962318,80987121,81025822,81203547,81276338,81405502,81506205,81515428,81678531,81804495,81979317,82189102,82195434,82344622,82357970,82449252,82561678,82731645,83170227,83177518,83509010,83635198,84028942,84209758,84539758,84588035,84848864,84913907,85164382,85459342,85617815,85658403,85690047,85794388,85817277,85869598,85889744,85942922,85971175,86305678,86680702,86700138,86750600,86754411,86824222,86939952,86995918,87024478,87195502,87258128,87504978,87562915,87776895,88081100,88097902,88149175,88181662,88247088,88293118,88376542,88708798,88891108,88909362,89257438,89442860,89529358,89616294,89826622,89907358,90095182,90442947,90733198,90864958,90970078,91101118,91421067,91470218,91517758,91647118,91729739,91878958,92001660,92490862,92499775,92642398,92943742,93265491,93315032,93321179,93413567,93628688,93785038,93862535,94149795,94524828,94573695,94610847,94655662,94774942,95059582,95295022,95454972,95526628,95758347,96175102,96334702,96402862,96511832,96583918,96622220,96625962,96691395,97143118,97159588,97187422,97594425,97800958,97807446,98135104,98165394,98242468,98252878,98298620,98364891,98512468,98571358,98829564,98865358,98926058,99012175,99051604,99073438,99219531,99277974,99300478,99321022,99461795,99585147,99651135,99694763,99929902,99943311,99953735,...,8077995259574310679401726819630169556788996333551952749724637325630043688526327448819179982566224443914174074254528818505964225497183575434067660806883860566322023762580863283933961247138057329737925405829729489102155063696231473545367097517694516642189616320158585913105526342208135968241067672131329271900484729856884903611990156634496922280888279991637684653725979067169277081834606865237912936872534924435379795073878443076017367443183892240667064287835744898272296216745118982535773575278700865134099859010279123950336698282497319828264497518475995010838318942429046347941421142526091337726462647431875801642971013741459315063514053111474742589650858706351601893658053896185022513474441084421574106103191605962466219712024227051105019946470959795875391097615653265709872541695386411154931521678117845639905393353049946257258747572393129645509283858085918292487807711124978712323913757190830165384378552658859983009540249402170558478921752576897480218277149784125525042286503579712127994907793184482888870167482615988836106179494023278489984287235822575213294169930516397766451306777612415859000664461188365709865820961799365150400094937262732449512369342411375554711582618963329504411475447655210034599607414369260614882605345537017196604498180907498625692750969485526792892925521578445635290585299138453737957510737105644349820296029692655484437936172458121166103939232375367691985607008598099211708982616944405232450377175392416106172926414826523565225396996968706813623893184783041753669675362728722966154671297014355409978353352034981628428309891570912614134889617657399394896356088717488972300152230572516938973026804174496768137311316229036949675734291509199269219759723216346911875452754506875694446196144599363520133677885812252177295482238282829104979772579136572591922677478777184268917974435209133596639720671987450663131079238594134083271121270659072977861573826784052507384466700482090651999287064937649906588741376332187898557727328083590873821313500335192077003108724444429769573740787090289157812380896118269361783290723278694000465438307773357673051137623067600461858508994476628151732872731214911952171618874134860000854851836607277140526555357157465180907401836773360555654010033176377769461042091029993417672576361269599911822221369985247786685410327373638694340039844052466417154338675883374701052909960796377182750047566937422719465267200987126273996552200002}
15003   266437251615240732988573128332174838150953024968321027671234347: {764133,1363453,1392117,1929453,1947790,2170505,2307382,2337348,2376573,2604606,2733837,3066185,3179877,3296260,3513485,3679422,3787157,3955512,4216182,4326041,4407005,4449951,4603173,4869357,5046693,5288406,5843517,5873336,6607503,6638397,6742901,6991053,7001701,7373801,7394686,7522985,7625653,7695213,7747726,7866075,7912253,7958877,7966685,8355373,8390480,8709437,9000502,9027582,9364375,9439290,9560022,9640036,9737885,9835126,9972317,10002430,10068576,10147677,10322133,10507741,10670757,10893790,11068180,11237250,11327148,11358781,11627493,11685462,11838697,11887917,11936261,11986400,12002916,12055342,12234813,12383885,12494733,12514084,12857860,12997933,13072548,13218541,13232596,13281816,13484700,13771480,13963533,14050180,14087477,14139862,14382862,14383680,14566317,14833462,14860662,14942043,15253773,15342592,15429432,15492915,15933502,16110933,16181640,16226830,16367613,16525776,16543901,16624077,16765085,16860216,17163748,17260416,17295757,17358111,17612278,17637005,17903157,18204345,18494597,18507485,18591498,18803326,18883630,18942185,18967743,19176837,19346253,19417968,19472196,19600197,19900357,19933693,19938453,20034718,20118102,20191893,20230126,20360733,20401348,20437801,20612221,20677385,21164406,21190660,21314422,21472822,21845214,21996502,22169476,22208982,22300726,22393624,22539161,22555156,22630677,22660356,22730622,22901086,23671501,23742493,24327677,24340228,24384093,24410326,24519640,24633717,24812862,24966213,25192827,25428792,25630053,25878597,26144836,26277005,26433526,26457693,26835757,26964388,27064901,27200517,27436741,27584595,28105773,28352157,28438373,28607391,28712758,28900180,28926213,29090013,29146453,29166797,29423568,29446030,29863155,30067006,30481877,30675460,30804117,30950302,31378102,31418413,31516708,31532406,31670680,31854032,31858180,32102997,32170453,32345853,32662505,32952004,33101514,33457366,33507785,33733942,33816430,33844342,34563917,34665526,34680216,34773005,35003013,35163213,35335236,35551375,35629515,35835786,35842637,35896462,35992376,36361653,36510916,36810552,36874505,37125673,37232926,37407531,37536142,37555102,37581901,37762180,37827317,37946415,37949518,38004816,38170264,38229816,38639333,38755684,38785637,38821317,39015243,39093262,39195006,39215877,39878596,40209342,40476176,40491423,40538797,40579716,40699901,40709733,40810126,40866477,41309381,41411871,41637790,41648757,41727606,41845673,42111748,42167086,42296285,42661650,42755418,42809533,42941547,43008543,43283733,43347701,43485622,43514701,43565033,43565357,43668982,43681636,44140453,44228941,44249406,44532775,44676717,44733661,44825860,44951907,45276382,45314616,45370293,45414358,45505760,45535698,45601053,45754773,45900637,45957790,46115062,46132301,46521933,46549924,46564157,46730293,46751613,46770293,46785496,46929526,47077156,47101453,47374877,47476717,48204075,48349060,48476585,48581277,48685035,49097326,49415253,49522180,49717797,49776622,49965348,50633237,50755542,50825837,50852356,50978943,50997464,51074493,51193980,51280660,51417680,51524997,51930704,52572813,52633683,52647477,52899262,52981513,53020437,53023726,53094957,53169622,53364841,53439330,53514175,53541573,53623060,53688430,53690253,53720644,53791032,53804116,54135717,54209877,54239542,54606912,55149348,55325221,55859062,55908933,55989677,55991096,56129613,56388557,56423517,56843237,56896733,56954981,57001952,57072526,57372147,57449157,57516056,57785717,57844890,57880942,57958375,57960213,58018872,58084635,58171902,58196585,58236406,58238341,58300180,58324533,58422042,58436633,58599853,58833573,58966744,59397005,59426616,59871076,59917061,60159640,60281493,60514911,60540142,61138861,61432776,61536792,61576413,61701216,61787704,61863117,61924996,61956944,62188661,62292453,62384260,62506797,62828062,62863557,62989983,63057790,63272632,63393715,63554788,63575277,63618250,63717333,63761691,63847486,63905230,63929782,64127196,64166285,64194793,64217010,64346835,64347672,64352782,64355397,64360901,64426116,64552996,64705563,64991517,65271231,65399933,65826533,65878660,66138185,66157828,66211657,66337587,66531485,66538293,66746771,66746941,66748317,66854943,66981773,67042180,67253080,67287790,67300841,67423822,67475653,67679595,68142957,68300175,68498144,68604118,68636624,68943316,68975133,69033701,69111873,69148375,69151726,69228891,69251757,69377101,69413868,69511167,69550050,69606637,69701562,69835902,69872757,69960216,70430264,70697733,70897277,71002324,71109460,71181711,71276406,71359684,71827877,71999885,72065013,72191568,72391131,72446902,72764548,72853520,72936118,73481902,73760613,73859326,73928278,73963077,74186720,74242756,74553166,74703597,74861112,74905053,74988075,75153526,75314473,75659715,75669348,75748180,75757237,75862685,75906775,76072458,76246985,76255261,76341900,76350862,76375797,76603375,76608502,76686276,76999542,77025413,77060412,77216202,77485060,77768853,77900973,77966997,78149662,78400726,78560133,78705243,78831173,78888813,79029173,79036030,79051241,79054392,79146526,79234047,79365822,79657301,79798660,79837782,79987280,80167637,80441182,80450616,80653317,80703696,80718333,80745348,80913237,80992155,81031277,81215514,81360196,81431360,81532180,81626037,81650653,81883037,81925102,81941353,81960210,82137982,82687060,82786756,82978050,83042557,83197630,83299864,83460060,83810877,83857385,84174653,84218751,84447853,85100278,85331352,85645717,85652493,85801942,85841853,85868216,86340553,86355461,86391632,86399862,86759542,87027653,87223893,87341230,87424224,87536373,87608585,87812633,87873142,87875086,87972837,88268782,88354505,88422757,88449437,88464280,88509920,88585117,88827406,88904157,88936191,89023133,89024064,89089773,89098985,89113582,89268581,89470685,89521828,89661022,89985690,90137517,90213005,90245302,90273557,90378795,90383037,90492617,90506943,90562450,90689397,90791658,90897816,90900022,91035222,91056237,91088130,91239333,91251435,91328260,91422213,91496382,91610280,91818493,91924050,92151573,92152717,92404702,92485155,92514957,92937813,92982072,93007726,93109678,93712347,93758326,93792917,93795982,93839973,93915003,93970276,94378677,94671512,94843236,94940662,94962301,94999637,95034453,95212797,95352530,95758392,95984736,95997771,96101277,96173662,96259342,96287716,96393790,96404048,96455157,96601743,96984357,97079501,97160672,97190586,97334864,97336077,97699021,97717632,97838616,98052320,98352252,98386053,98432542,98650832,98727076,98788180,98792277,98878277,98966013,99168982,99224472,99522315,99573660,99601197,99604937,99693622,99837156,99946437,...,12116992889361466019102590229445254335183494500327929124586955988445065532789491173228769973849336665871261111381793227758946338245775363151101491210325790849483035643871294925900941870707085994606888108744594233653232595544347210318050646276541774963284424480237878869658289513312203952361601508196993907850727094785327355417985234951745383421332419987456526980588968600753915622751910297856869405308802386653069692610817664614026051164775838361000596431753617347408444325117678473803660362918051297701149788515418685925505047423745979742396746277713992516257478413643569521912131713789137006589693971147813702464456520612188972595271079667212113884476288059527402840487080844277533770211661626632361159154787408943699329568036340576657529919706439693813086646423479898564808812543079616732397282517176768459858090029574919385888121358589694468263925787128877438731711566687468068485870635786245248076567828988289974514310374103255837718382628865346220327415724676188287563429755369568191992361689776724333305251223923983254159269241034917734976430853733862819941254895774596649676960166418623788500996691782548564798731442699047725600142405894098674268554013617063332067373928444994256617213171482815051899411121553890922323908018305525794906747271361247938539126454228290189339388282367668452935877948707680606936266105658466524730444044538983226656904258687181749155908848563051537978410512897148817563473925416607848675565763088624159259389622239785347838095495453060220435839777174562630504513044093084449232006945521533114967530028052472442642464837356368921202334426486099092344534133076233458450228345858775408459540206261745152205966974343555424513601437263798903829639584824520367813179131760313541669294216899045280200516828718378265943223357424243657469658868704858887884016218165776403376961652813700394959581007981175994696618857891201124906681905988609466792360740176078761076700050723135977998930597406474859883112064498281847836590992125386310731970250502788115504663086666644654360611180635433736718571344177404042674936084918041000698157461660036509576706434601400692787763491714942227599309096822367928257428311202290001282277754910915710789833035736197771361102755160040833481015049764566654191563136544990126508864541904399867733332054977871680028115491060458041510059766078699625731508013825062051579364941194565774125071350406134079197900801480689410994828300003}
15004   267644073789737377100498533510468131674206629251345139739805364: {569354,702979,792403,1018844,1593979,1682683,1856156,2036779,2179634,2357834,2565763,2572604,2829283,2921685,3116464,3168764,3441643,3461073,3472808,3506022,3645116,3703003,3789979,3876883,3906909,4120325,4137163,4239836,4485002,4905896,4944390,5085979,5139169,5274016,5365202,5519133,5599843,5621576,5933268,6137564,6324273,6450523,6492476,6591434,6704323,6728924,6788779,7051208,7341670,7791356,7932609,7984202,8046979,8545723,8810004,8851196,8876779,9321404,9699379,9781243,10026403,10227794,10260284,10488100,10611836,10838923,10913234,11092029,11322979,11621589,11724379,11937074,12036776,12050045,12585720,12746696,12786314,13311979,13390603,13424768,13500753,13530236,13541373,13626043,13762844,13835225,14158935,14227676,14340033,14460054,14473994,14752689,14983000,15003645,15102864,15145034,15179083,15255979,15332803,15503324,15580616,15642605,15646802,15850556,16003888,16072325,16097083,16313084,16340685,16480202,16540745,16602270,16659644,16854163,16855875,16990722,17214350,17310002,17430064,17528193,17562725,17604043,17640914,17709088,17901979,17979600,18004374,18083013,18618044,18771126,18958802,19178240,19286790,19374379,19421756,19594421,19608822,19665403,19814216,19848894,19922724,20027563,20227050,20267474,20338364,20572576,20657220,20889403,21075270,21209793,21245443,21405002,21454685,21481244,21528979,21574293,21575520,21823484,21881779,22034368,22165436,22232779,22250193,22290993,22480288,23013888,23144148,23498834,23546237,23618779,23870876,23900253,24138194,24272460,24297674,24340245,24639379,24788664,24908803,25290324,25501685,25569116,25745622,25795004,25884554,25890624,25962928,25974979,26041003,26133596,26418417,26488325,26584604,26697283,26824136,26892763,26922524,26957779,27147644,27217123,27711845,27769802,27872278,27887247,27992030,28193945,28204989,28219208,28306483,28325445,29015114,29126952,29208294,29561443,29611976,29747203,29788754,29808979,30052077,30174236,30177153,30178123,30213808,30307496,30345189,30425285,30602022,30649550,31029379,31172234,31325234,31493329,31569163,31746609,31785990,31971633,32162083,32209233,32392202,32512124,32681045,32767821,32805979,32844956,32994753,33083816,33254214,33288284,33313473,33398981,33451089,33452114,33590436,33612883,33705485,33727003,33832734,33905056,33954379,33990534,34095933,34173404,34180603,34351629,34504796,34573723,34741123,35073979,35103434,35129203,35276924,35401802,35416654,35677483,36125225,36145202,36218563,36267356,36510342,36615489,36779460,37219293,37226779,37474364,37695283,37798603,37802876,37953043,38143188,38344325,38568284,38786684,38815963,39015979,39214843,39217254,39231424,39395885,39510979,39588350,39650289,39817540,39822725,39847478,40241714,40446582,40527043,40716979,40905763,40937309,40999723,41072156,41190005,42043208,42284923,42803996,42818443,43069137,43127804,43350270,43381202,43384723,43427779,43641979,44023003,44135352,44169045,44365514,44622781,44990470,45064274,45090979,45100509,45439366,45638645,45840643,46013190,46240288,46262779,46425453,46450994,46489363,46601683,46638979,46670684,46884284,47067153,47113648,47138954,47202725,47275062,47298609,47369779,47506020,47547979,47712830,47781048,47787270,48232202,48276763,48378283,48444605,48445603,48482204,48612643,48712003,48941323,48992209,49080736,49193573,49357843,49428006,49652271,49700779,49731523,49848245,49853779,49876708,50186049,50326549,50418763,50595220,50600913,50673088,50724645,50733979,50762203,50766513,50846443,50973088,51149779,51257923,51595901,51761756,51781363,51853874,51932779,51985994,51998289,52020324,52155043,52203643,52260008,52287836,52299979,52395163,52558963,52628083,52639685,52644434,53002854,53007523,53072323,53142221,53325043,53386603,53527723,53606779,53612456,53753679,53820554,53844693,53988564,54064241,54106288,54180403,54212326,54279644,54433123,54468914,54488636,54513763,54576979,54602045,54639043,54729979,54744883,54766374,54861523,54889963,55215828,55257883,55363553,55431763,55498802,55531676,55636808,55730923,55832443,55849389,55863979,55882634,55930723,55937779,56032325,56081201,56120803,56134843,56139379,56156803,56180779,56193449,56195323,56214979,56250763,56277979,56279563,56279779,56304213,56332653,56392394,56643270,56773202,56882200,56924277,57007224,57152714,57255396,57344724,57711644,58033202,58133526,58187405,58481870,58639893,58792509,58846445,58999208,59568956,59817894,59935876,60057046,60142154,60264914,60314013,60419488,60436325,60493724,60714264,60801404,60869574,61006364,61215189,61626481,61902725,62001797,62029244,62335484,62456685,62591409,63167622,63250629,63525002,63565445,63746830,63992475,64100825,64133127,64272100,64353074,64775036,64913380,65228433,65503473,65522454,65640074,65887004,66290396,66374109,66620464,66680114,67028825,67150805,67238790,67255145,67366994,67674056,67914573,67971924,68099324,68121537,68161802,68258640,68303547,68699996,68936685,69172593,69824886,69988870,70097084,70178244,70196636,70394289,70615734,70693916,70793276,71161394,71252440,71388764,71587004,71721376,71869457,71895070,72180956,72279836,72523590,72809216,72875225,72887381,72889394,73102802,73421834,73532464,73645989,73708430,74283270,74545244,74664933,74838845,74839484,74893514,74948022,74997554,75134689,75199550,75205202,75231356,75592678,75995933,76133313,76278534,76496196,76540874,76598876,76744202,76790970,76920990,77126520,77234630,77250002,77280284,77358496,77406245,77446180,77451314,77562536,77727617,77766044,77896056,77980325,78307333,78444764,79090790,79235488,79348893,79443485,79535589,79754433,80158995,80375324,80434590,80497994,80532645,80580966,80686548,80689802,80691245,80706174,81057581,81359313,81451274,81910368,82049056,82095941,82101884,82268288,82348325,82484156,82697285,82724022,82837573,83056604,83222834,83250662,83342396,83497802,83788593,83802725,83818076,83986644,84066350,84353542,84767036,84956444,85015588,85168006,85502928,85608789,85622680,85795780,85796896,85807196,85901488,85914194,86179145,86274084,86319478,86436914,86655356,86767335,86821413,86868554,86976593,87028308,87040202,87211274,87257853,87354609,87450270,87587357,87633063,87945893,88037830,88450116,88717724,88752905,88886825,88997756,89139924,89199605,89301074,89382794,89545802,89806614,90239460,90810213,90857276,90955685,91066900,91144202,91690034,91966844,92149164,92305188,92335676,92533514,92551824,92681556,92733400,92803445,92835914,92887494,92935416,93114536,93163676,93280288,93576390,94242093,94263644,94586685,94685225,94908948,95035208,95096606,95101394,95332182,95427375,95733194,95739677,95771229,95857845,95894673,96053854,96086684,96190794,96255424,96325515,96521508,96529173,96639174,96829494,96856325,97162034,97492874,98347484,98590802,98617436,98817990,99030794,99093074,99236742,99340754,99352709,99604796,99748325,99814816,99873404,99949874,99984100,...,16155990519148621358803453639260339113577992667103905499449274651260087377052654897638359965132448887828348148509057637011928450994367150868135321613767721132644047525161726567867922494276114659475850811659458978204310127392462947090734195035389033284379232640317171826211052684416271936482135344262658543800969459713769807223980313268993844561776559983275369307451958134338554163669213730475825873745069848870759590147756886152034734886367784481334128575671489796544592433490237965071547150557401730268199718020558247900673396564994639656528995036951990021676637884858092695882842285052182675452925294863751603285942027482918630127028106222949485179301717412703203787316107792370045026948882168843148212206383211924932439424048454102210039892941919591750782195231306531419745083390772822309863043356235691279810786706099892514517495144786259291018567716171836584975615422249957424647827514381660330768757105317719966019080498804341116957843505153794960436554299568251050084573007159424255989815586368965777740334965231977672212358988046556979968574471645150426588339861032795532902613555224831718001328922376731419731641923598730300800189874525464899024738684822751109423165237926659008822950895310420069199214828738521229765210691074034393208996361814997251385501938971053585785851043156891270581170598276907475915021474211288699640592059385310968875872344916242332207878464750735383971214017196198423417965233888810464900754350784832212345852829653047130450793993937413627247786369566083507339350725457445932309342594028710819956706704069963256856619783141825228269779235314798789792712177434977944600304461145033877946053608348993536274622632458073899351468583018398538439519446432693823750905509013751388892392289198727040267355771624504354590964476565658209959545158273145183845354957554368537835948870418267193279441343974901326262158477188268166542242541318145955723147653568105014768933400964181303998574129875299813177482752664375797115454656167181747642627000670384154006217448888859539147481574180578315624761792236538723566581446557388000930876615546715346102275246135200923717017988953256303465745462429823904343237748269720001709703673214554281053110714314930361814803673546721111308020066352755538922084182059986835345152722539199823644442739970495573370820654747277388680079688104932834308677351766749402105819921592754365500095133874845438930534401974252547993104400004}
15005   268856318333641291556348512421563719875278486787227046750608829: {854031,1273555,1528266,1812943,2320195,2726906,2784234,3038707,3215755,3269451,3536751,3858906,3895580,3960955,4292659,4341010,4475731,4556395,4614764,4674696,4753146,4834987,4918879,5209212,5259033,5299795,5467674,6087499,6132370,6169807,6359754,6592520,6727503,7026970,7071823,7358844,7416585,7574314,7671955,7727599,7882339,7911024,7968883,8047803,8115595,8241307,8411155,8432364,8652082,8814010,8899902,9206346,9404179,9738714,9739195,9887151,10093386,10292971,10418059,10532179,10576812,10660063,11012505,11063995,11153359,11651755,11654863,11687034,11746672,11976303,12570427,12825355,13110125,13215006,13264795,13276794,13340527,13485802,13633039,13982106,14003402,14747602,14774671,14789372,14973787,15045970,15251306,15341691,15390426,15495452,15732150,15824506,15895099,15917754,15933370,16029547,16369851,16710746,16780960,16871503,16912795,17203555,17337439,17418874,17521999,17784595,17905611,18001004,18055164,18198451,18728750,18878580,19120044,19179471,19280072,19379155,19475770,19551883,19670252,19813195,19944634,20004860,20137152,20250511,20295354,20348227,20391355,20644266,20769199,20824555,21015482,21341514,21690081,21710991,21787580,21857251,22136360,22474500,22654296,22717551,22717562,22936651,23254986,23272555,23370924,23470203,23471119,23677394,23775834,23872522,23972800,24005832,24110684,24277195,24469626,24555259,24654223,24691807,24720303,24767770,24903405,24989466,25028168,25085563,25190827,25422955,25486083,25560979,25715720,25821525,25910479,25965003,25995866,26145096,26437082,26461371,26465192,26519059,26563632,26591983,26851555,26969400,27006561,27237199,27279355,27542960,27570787,27706795,27927066,28100360,28156689,28174954,28204363,28279724,28438203,28750891,28765724,28767360,28930185,28948339,29132634,29413233,29492683,29666924,29721324,29773341,29838595,29884086,30249007,30340575,30401211,30507546,30685184,30858864,30985830,31612905,31867004,31961395,32065099,32107503,32221866,32243755,32363280,32453660,32666995,32735226,33051552,33087802,33230755,33248154,33530170,33653155,33720432,33934555,34129027,34311343,34327496,34469851,34520832,34587979,34591514,34716222,35224556,35248251,35248351,35274010,35806314,36207291,36233263,36408690,36446511,36787807,36873199,36989194,37014970,37182996,37606652,37717795,37767260,37884370,37935486,38314543,38353674,38423347,38618433,38644531,38692506,38826831,38835936,38944392,39110203,39134419,39200394,39583939,39800714,39867386,39876906,40069436,40236204,40383786,40460252,40640155,40721466,40802696,40875602,40922059,41056195,41224442,41354770,41610355,41654703,41661499,41808417,41854627,41988045,42076819,42328812,42381320,42616783,42628844,42709699,42716755,42945644,43130995,43522671,43690428,43812441,43889263,43993004,44096155,44338952,44417964,44568763,44601452,44683131,44705011,44746063,44787248,44842699,45078322,45110312,45261354,45320712,45334195,45461244,45462223,45477883,45727507,45802172,45837571,45903033,45974325,46138507,46758351,46842955,46891759,46910899,46987851,46994587,47253595,47343002,47453071,47484986,47678985,48045859,48099883,48142603,48210355,48483355,48588303,48655354,48680456,48682207,48690331,48768186,48820652,48996547,49039280,49267434,49313839,49625724,49677919,49771925,49881321,49932426,50178171,50230543,50385654,50749101,50857584,50985801,51260106,51340195,51486331,51508063,51624307,51757194,51821647,52289672,52554010,52655151,52867052,52915386,53102703,53103151,53124981,53504995,53671514,53909755,53928776,54129802,54217803,54333499,54401034,54765513,54873482,55169190,55245727,55557979,55988491,56211546,56704314,56876746,57214782,57425516,57456787,57566851,57800360,57852426,58180026,58292906,58333594,58338355,58605355,58816687,58825881,58847136,58892060,59049199,59126059,59214799,59382525,59726310,59771217,59989963,60134012,60277423,60362571,60418459,60602755,60669873,60963754,61350920,61608234,61900604,62197027,62345885,62756204,62836826,62882779,63033416,63064812,63244025,63341360,63655567,63708064,63716360,64067467,64205994,64340906,64359739,64369723,64691706,64702195,65025405,65071803,65311531,65325010,65359795,65408731,65904008,66203028,66548271,66914732,66966127,67015570,67178371,67467884,67485705,67596411,67632860,67661791,67688684,67801219,67849555,67867219,68110795,68159049,68292211,68804683,69019785,69043183,69127834,69295087,69331052,69354043,69360432,69414595,69546010,69676491,70006026,70021051,70326426,70670472,70708431,70722319,70907023,70912593,71102750,71259030,71569245,71671572,71680905,71683663,71685274,71792924,71984752,72139555,72348303,72723306,73021832,73077499,73570831,73621104,73696843,73749010,74142009,74251346,74461195,74465852,74685679,74815062,74919845,75072284,75110204,75163802,75178339,75218587,75524360,75617155,75654634,75698911,75892830,75899036,76001755,76009632,76062883,76257955,76340528,76459632,76811227,77278666,77511368,77536555,77571274,77642634,77704051,77780811,77919355,77978991,78030486,78186524,78330703,78390012,78431754,78966651,79497403,79504281,79757192,80340125,80418684,80730831,80952352,80968795,80982846,81077594,81141725,81159432,81318489,81399802,81419466,81475219,81585283,81620252,81703371,81709363,81732954,82149561,82358755,82474939,82618762,82740451,82823742,82862995,83155807,83248203,83275580,83283259,83297514,83455212,83543023,83691346,83787691,83823951,84223496,84334172,84432427,84588591,84592570,84887491,84964905,85042063,85124155,85159803,85323300,85510836,85619066,85729071,85748011,85874995,85883094,86017086,86567466,86695402,86853187,86927599,86971244,87029402,87049803,87130066,87130714,87200289,87337964,87363272,87516943,87530143,87621355,87722805,87745795,88280906,88351387,88367395,88455499,88457882,88491595,88498812,88526239,88751201,89065550,89235955,89280787,89353434,89371183,89467322,89483755,89651720,89726841,89832799,89903814,90085569,90200911,90213231,90226195,90349795,90397371,90552764,90590863,90629232,90740586,90828716,91011520,91029331,91071396,91202106,91220419,91289839,91304361,91447723,91509546,91707283,91801274,91915580,92230124,92264602,92593459,93025999,93043866,93099848,93128314,93144079,93181555,93460586,93503226,93540586,93549355,93570992,93859052,93937723,94039195,94154312,94202906,94743571,94749754,94751433,94906891,94953434,95287503,95407651,95432419,95620245,95675791,95748595,96061999,96408150,96434971,96514927,96529611,96600355,96698120,96807725,96953170,97162554,97207555,97325551,97370070,97934827,98055955,98143531,98194652,98283681,98460111,98474659,98830506,99044360,99435594,99553244,99770767,99930696,...,24233985778722932038205180458890508670366989000655858249173911976890131065578982346457539947698673331742522222763586455517892676491550726302202982420651581698966071287742589851801883741414171989213776217489188467306465191088694420636101292553083549926568848960475757739316579026624407904723203016393987815701454189570654710835970469903490766842664839974913053961177937201507831245503820595713738810617604773306139385221635329228052102329551676722001192863507234694816888650235356947607320725836102595402299577030837371851010094847491959484793492555427985032514956827287139043824263427578274013179387942295627404928913041224377945190542159334424227768952576119054805680974161688555067540423323253264722318309574817887398659136072681153315059839412879387626173292846959797129617625086159233464794565034353536919716180059149838771776242717179388936527851574257754877463423133374936136971741271572490496153135657976579949028620748206511675436765257730692440654831449352376575126859510739136383984723379553448666610502447847966508318538482069835469952861707467725639882509791549193299353920332837247577001993383565097129597462885398095451200284811788197348537108027234126664134747856889988513234426342965630103798822243107781844647816036611051589813494542722495877078252908456580378678776564735336905871755897415361213872532211316933049460888089077966453313808517374363498311817697126103075956821025794297635126947850833215697351131526177248318518779244479570695676190990906120440871679554349125261009026088186168898464013891043066229935060056104944885284929674712737842404668852972198184689068266152466916900456691717550816919080412523490304411933948687110849027202874527597807659279169649040735626358263520627083338588433798090560401033657436756531886446714848487314939317737409717775768032436331552806753923305627400789919162015962351989393237715782402249813363811977218933584721480352157522153400101446271955997861194812949719766224128996563695673181984250772621463940501005576231009326173333289308721222361270867473437142688354808085349872169836082001396314923320073019153412869202801385575526983429884455198618193644735856514856622404580002564555509821831421579666071472395542722205510320081666962030099529133308383126273089980253017729083808799735466664109955743360056230982120916083020119532157399251463016027650124103158729882389131548250142700812268158395801602961378821989656600006}
15006   270074009414272985269442180273272739121425830477229789015191798: {344609,553853,881873,1000913,1138708,1238609,1405958,1584806,1623773,1889633,2037053,2037688,2066513,2292399,2419409,2654033,2858909,3187958,3296609,3354833,3365366,3529313,3712312,3964253,4073558,4090359,4166609,4176351,4310909,4359268,4512593,4715668,4869475,4943453,5115293,5131526,5145208,5172509,5372513,5458109,5543633,5658566,5768455,5788359,5843370,6232928,6337528,6451409,6511515,6536093,6648893,6733409,6883286,6922146,6945616,7012044,7070753,7129719,7290232,7295009,7406006,7579958,7753766,7813818,8048093,8201511,8214653,8240650,8274326,8463953,8479672,8629793,8878013,8905553,8970004,9198555,9454673,9539631,9782609,9811792,9888780,10171958,10278338,10540455,10548032,10730404,10786493,11038266,11199686,11243152,11361471,11485373,11752733,11866536,12072509,12125693,12205409,12275128,12648546,12901046,12945953,12978123,12984952,13182868,13221015,13349853,13408646,13457848,13577558,13706333,13809519,13966973,14102416,14122973,14511713,14608071,14683340,15140079,15206909,15335009,15582712,15590609,15667133,15865218,15968404,16093958,16781213,16870063,17091446,17182493,17530551,17531933,17606609,17620008,17702392,17753558,17780573,18053153,18152033,18486715,18642808,18718109,19158173,19369315,19398758,19401533,19522913,19562486,19692509,19822509,19915191,20052806,20054609,20174909,20228703,20455588,20520568,20773409,20844893,20973159,20976200,21005103,21223672,21532193,21555773,21677846,21826468,21899647,22121403,22184058,22236113,22259453,22501255,22538909,22568955,22585373,22645958,22724573,22876959,23085639,23157043,23163473,23243178,23448758,23507933,23598225,23622353,23645213,23736759,23874148,23876631,23900055,24032609,24073552,24100090,24304673,24587815,24665633,24979793,25006075,25046909,25066119,25171440,25493392,25572628,25714109,25978973,26000993,26045009,26128311,26308433,26439713,26592509,26623958,26781206,26849536,26918609,26961953,26983613,27001506,27060472,27082746,27091793,27234475,27242909,27252086,27525688,27670450,27672509,27827371,28093125,28247393,28317870,28455352,28627409,28680066,28879313,28920108,28947988,29150909,29213655,29317373,29505378,29710673,29916951,29966000,30007290,30036559,30138355,30182909,30205728,30290068,30358166,30427613,30443031,30488609,30511958,30630653,30665606,30853073,30933713,30966399,31006648,31161232,31285210,31293604,31295009,31523223,31701112,31752893,32007776,32012271,32144650,32186909,32194166,32578109,32626168,32681370,32830673,32869409,32960404,33004733,33062609,33081490,33204540,33319288,33503933,33708326,33711750,33732509,33865313,33981444,34076343,34205009,34428700,34579409,34620004,34709693,34860128,34882479,34987553,35056386,35079773,35125450,35190173,35208086,35281828,35349655,35418176,35516091,35628893,35663751,35683409,35702359,35737853,35803958,35808783,35957155,35959200,36008748,36008993,36166026,36188753,36349853,36616913,36704439,36723233,36758609,36987773,37075553,37083655,37151655,37236088,37484199,37494113,37542252,37917604,37925213,38027933,38356480,38573580,38688593,38748758,38796583,38843512,38872733,38993799,39188842,39217644,39238109,39330806,39370013,39471523,39566909,39628432,39655623,39697788,39833755,39845448,39924893,40055126,40406813,40454100,40534948,40567075,40581713,40676728,40739873,40928609,41116193,41145152,41162909,41240609,41314440,41349053,41656733,41778806,41890599,41976353,42036833,42082109,42150540,42262431,42337313,42419586,42490886,42530909,42595399,42810004,42826109,42909370,42928673,42962488,43057958,43148586,43151040,43234013,43449953,43478609,43646968,43649873,43698951,43763558,44030695,44045009,44068736,44114909,44156753,44212433,44330872,44364893,44420093,44465558,44500386,44581986,44826129,44960576,44978513,45072509,45112673,45497213,45732509,45753463,45761319,45862109,45926609,46016573,46027776,46284113,46288296,46347293,46478745,46722173,46955873,46997668,47008315,47092474,47187679,47209075,47234909,47237558,47318993,47390753,47557073,47568893,47741752,47800506,48081053,48149693,48229409,48276388,48286109,48332799,48455009,48544920,48595348,48622109,48680490,48765473,48896609,49058909,49102839,49278758,49535009,49577328,49631703,49710653,49817606,49863713,49872231,49873853,50024993,50086795,50223713,50295255,50409533,50515793,50575315,50580648,50611553,50744273,50838113,50940413,51003370,51138232,51160253,51322109,51481373,51491244,51590008,51769108,51781248,51817553,51842909,51887271,51925856,51949958,51951953,52074333,52082006,52267192,52390433,52554653,52570109,52836834,52887293,52911015,52931453,52976650,52982609,53169208,53218493,53286055,53322833,53394566,53418593,53559293,53625053,53648272,53657633,53682055,53709471,53715773,53735009,53785526,53845048,53848913,53915558,54056993,54145853,54163409,54250109,54295288,54362909,54434246,54445409,54594593,54605009,54613035,54772253,54816353,54845393,54888413,54916733,54935453,54949409,54986273,54991255,55031633,55071773,55154239,55225853,55411409,55423690,55437533,55483791,55513553,55522455,55539604,55545053,55572509,55632413,55664573,55680353,55702109,55708253,55744556,55747409,55751815,55774494,55838033,55910609,55951613,55984060,55985873,56007713,56038973,56054909,56083409,56096093,56106653,56115233,56153633,56155133,56188733,56210909,56229473,56232509,56246609,56256593,56266109,56287613,56290109,56292893,56293073,56294333,56294813,56294993,56387890,56409978,56438416,56612966,56650890,56826555,56903229,57252715,57530511,57666007,58030228,58038759,58137859,58253904,58416588,58800591,59122886,59223952,59394247,59494406,59577508,59617958,59701071,59801079,59815359,60104154,60348472,60354306,60356246,60427616,60575679,60614992,60690378,60850570,61025815,61082199,61204044,61299100,61313403,61836663,62032155,62058758,62344468,62650468,62804443,62986658,63138326,63493218,63571980,63894103,63943266,64324166,64418466,64784404,65024248,65362090,65535642,65611958,65689912,65989506,66083815,66167632,66277783,66508428,66576568,66626946,66797962,66902178,66904228,66917719,67180872,67225766,67410970,67454006,67617483,67665468,67810112,67822447,67892031,67908758,67981068,68191866,68346808,68361206,68703258,69009592,69147446,69482246,69787543,70147958,70206868,70258406,70553848,70803604,70833308,71014503,71227479,71354966,71781895,72250450,72290404,72437126,72534712,72983031,73020684,73152279,73230978,73274851,73558920,73615075,73695559,73901151,74438586,74453558,74898639,74948728,75167515,75390566,75578481,75597206,75605752,75906086,76286376,76442863,76688650,76890159,77136568,77375755,77573368,77631926,77635791,78031958,78429686,78434508,78445255,78462848,78791770,78831015,79021958,79176700,79300578,79373079,79635080,79645450,79694956,80483428,80507271,80893164,81054086,81194703,81433958,81462367,81601551,81811526,81874618,81999446,82144312,82310223,82380010,82385023,82753785,83643415,84086416,84317319,84334855,84541075,84569846,84610855,84936631,85056471,85315119,85607992,85636886,85822173,86138274,86255608,86647759,86663815,86700540,86762404,86769446,86778639,86855558,87270039,87283958,87439359,87500391,88046006,88270704,88338090,88731028,88991623,89245562,89589465,89741155,89980940,90128548,90181958,90201018,90593767,90878732,91277290,91445631,91681286,91754287,91859911,92026380,92412351,92480576,92525558,92850906,92901988,92978726,93082315,93203366,93277958,93341368,93768568,93840355,93887755,94011127,94134306,94157203,94227296,94255239,94277908,94405450,94550124,94597218,94739558,94873795,95012040,95095958,95425660,95562096,95574540,95795323,96308991,96464404,96511359,96553526,96756566,96889210,96891206,96964408,97037559,97225286,97424006,97733155,97882646,97984418,97987515,98161472,98387146,98715686,98856012,99304542,99401558,99463046,99696490,99707558,99753416,...,36350978668084398057307770688335763005550483500983787373760867965335196598368473519686309921548009997613783334145379683276839014737326089453304473630977372548449106931613884777702825612121257983820664326233782700959697786633041630954151938829625324889853273440713636608974868539936611857084804524590981723552181284355982066253955704855236150263997259962369580941766905802261746868255730893570608215926407159959209077832452993842078153494327515083001789295260852042225332975353035421410981088754153893103449365546256057776515142271237939227190238833141977548772435240930708565736395141367411019769081913443441107393369561836566917785813239001636341653428864178582208521461242532832601310634984879897083477464362226831097988704109021729972589759119319081439259939270439695694426437629238850197191847551530305379574270088724758157664364075769083404791777361386632316195134700062404205457611907358735744229703486964869923542931122309767513155147886596038660982247174028564862690289266108704575977085069330172999915753671771949762477807723104753204929292561201588459823764687323789949030880499255871365502990075347645694396194328097143176800427217682296022805662040851189996202121785334982769851639514448445155698233364661672766971724054916577384720241814083743815617379362684870568018164847103005358807633846123041820808798316975399574191332133616949679970712776061545247467726545689154613935231538691446452690421776249823546026697289265872477778168866719356043514286486359180661307519331523687891513539132279253347696020836564599344902590084157417327927394512069106763607003279458297277033602399228700375350685037576326225378620618785235456617900923030666273540804311791396711488918754473561103439537395280940625007882650697135840601550486155134797829670072272730972408976606114576663652048654497329210130884958441101184878743023943527984089856573673603374720045717965828400377082220528236283230100152169407933996791792219424579649336193494845543509772976376158932195910751508364346513989259999933963081833541906301210155714032532212128024808254754123002094472384980109528730119303804202078363290475144826682797927290467103784772284933606870003846833264732747132369499107208593314083308265480122500443045149293699962574689409634970379526593625713199603199996164933615040084346473181374124530179298236098877194524041475186154738094823583697322375214051218402237593702404442068232984484900009}
15007   271297171305798844076703834648897585153794316960842719363727016: {1423385,1708062,1782977,2108937,2142569,2377209,2547110,3056532,3248273,3625886,4502057,4640390,4781937,5048049,5403809,5449085,5453812,5545337,5568468,5894585,6077414,6110337,6378953,6431510,6538902,7073502,7194317,7419713,7697289,7717812,7791160,7921910,8357609,8487849,8585318,8682020,8765055,8809673,8951462,9112790,9132617,9229528,9349392,9506292,9669974,9837758,10324929,10383219,10418424,10510553,10518066,10599590,10740737,10926257,10935348,11002673,11109009,11212505,11361833,11369937,11630649,11643713,11720727,11775617,11983169,12174998,12264740,12339614,12360975,12411489,12719508,12719897,13185040,13413005,13437353,13455006,13634873,13773929,14053940,14143646,14717688,14833170,15148628,15257937,15343910,15417507,15455198,15481373,15489593,15764678,15822048,15937766,16095606,16231190,16312457,16478585,16482614,16557399,16735409,16799529,16822310,16864728,16997297,17135033,17304164,17628020,17799804,17849513,17955497,18354175,18412692,18570713,18785117,18808358,18972819,19351569,19477428,19478390,19774302,19939049,19960505,20112969,20186772,20366337,20585942,20707817,20771993,20836118,20936969,21064358,21153624,21320126,21751553,22025010,22127990,22306718,22647293,23303510,23309726,23374068,23493344,23677913,23797827,23952606,24084977,24140937,24518489,24545417,24898433,25140854,25569485,25637169,25650710,25951097,26067137,26220250,26309249,26430012,26529590,26553588,26630337,26681054,26971604,27130817,27266078,27283085,27444113,27738473,27964212,28006804,28547897,28568153,29098137,29136809,29154377,29343729,29495204,29549342,29578744,29842685,29947574,30079209,30091940,30502612,30683382,30780852,30814409,30990904,31426889,31464300,31649012,31790198,31835508,31866740,31965785,32059094,32189417,32390633,32516769,32581577,32739702,33212897,33276087,33332429,33421492,33561920,33743006,33825590,33968937,33988073,34407110,34674878,34837748,34854989,34864767,35043998,35092913,35173137,35569190,35592137,35811222,36002008,36110328,36150135,36184985,36396902,36482753,37198073,37457500,37592177,37757160,37862585,37895117,38191097,38240088,38358942,38560144,38657153,38758310,38789513,38951540,39103766,39117005,39340504,39626390,39889268,39935937,40009720,40171809,40236797,40274304,40501022,40502259,40549769,40590708,40624119,40696454,40782710,40878129,41073233,41085617,41200505,41288532,41505675,41538398,41649110,41774033,42030964,42476805,42683028,42821129,42918257,43020099,43035875,43275005,43380162,43421982,43526393,43575160,43577417,43714502,44102285,44240873,44258067,44272720,44741153,44745953,44949000,45010935,45141257,45308592,45435102,45435124,45537249,45717977,45733793,45767937,45801569,45873302,45998409,46221149,46509972,46523057,46545110,46741848,46742849,46927815,46940406,46942238,47000909,47027033,47114417,47354788,47397005,47508377,47551668,47745044,47945600,48011664,48216975,48218993,48221368,48291249,48548957,48554390,48939252,49022055,49110518,49236317,49308446,49320473,49383614,49440606,49535540,49622235,49806810,49978932,50056336,50171126,50235593,50365289,50381654,50553569,50562489,50567625,50668685,50845910,50972166,51077297,51121958,51431440,51643050,51820958,51869129,51930006,51991732,52290192,52584579,52688175,52804913,52812129,52863737,52874164,52922742,52930384,52995917,53012273,53038118,53127264,53183966,53512505,53540297,53578313,53698313,53703110,53705937,53746589,53938800,54013122,54249039,54474398,54558710,54696233,55085920,55141574,55413590,55563929,55565453,55854132,55981697,56200720,56313378,56349908,56408726,56559448,56658137,56876406,56896217,57478673,57501782,57531448,57534720,57860370,57896678,58123137,58254497,58265268,58747085,58783263,58826466,58985366,58996209,59057273,59134013,59333848,59363369,59442648,59546682,59677190,59768172,59803457,60082689,60345485,60383393,60498014,60681150,60744185,60802422,60810473,61015092,61370368,61717728,61734617,61971660,62010257,62668209,63225810,63467873,63629379,63734008,63736329,63922790,64130198,64212317,64215006,64216409,64364055,64443732,64487510,64586937,64711385,64722879,64726560,64907320,64927433,65333990,65470452,65580137,65645337,66103104,66155033,66175604,66461510,66496308,66698337,66750579,66872979,67060340,67306310,67440864,67480013,67494497,67526513,67869110,67876697,68258054,68485913,68622686,68654992,68939702,69041664,69175958,69183028,69283517,69304409,69363569,69424505,69432444,69680695,69747257,69785417,69980075,70280753,70295753,70449112,70496502,70496702,70548020,70638711,70731833,70856337,70897229,71612628,71644073,71700759,71876273,71931473,72161009,72414582,72466526,72537785,72714497,72817380,72893022,73020735,73575614,73746398,73918137,73978388,74016569,74029940,74365992,74471885,74726409,74850089,74906993,75213304,75435590,75473657,75534520,75768740,75777833,75870972,76073309,76081673,76275833,76505055,76623875,76629086,76630577,76707348,76846694,77236866,77289062,77385012,77653662,77669453,77671872,77888784,77924937,77930585,78123009,78220406,78268838,78313085,78400788,79167878,79255251,79464975,79601428,79734772,79753812,80091849,80138872,80472408,80678289,80767572,80873337,80920504,80980505,81071609,81280310,81442932,81596489,81605392,81651369,81673697,81708173,81751204,81844118,81963869,82047497,82108553,82112390,82448884,82709540,83135535,83220710,83309406,83322998,83616834,83630285,83661741,83709254,83799209,83947037,83976090,84153638,84499073,84581835,84614967,84657624,84762640,84843857,84919449,84976335,84992273,85233566,85257688,85289609,85419398,85433510,85891288,86048717,86261990,86364317,86939633,87045342,87096269,87284239,87345857,87380856,87624882,87758585,87778526,87986008,88192310,88446689,88504505,88541635,88556513,88677904,88684329,88835928,89137526,89202904,89241609,89366262,89410022,89426937,89492126,89574496,89685398,89982209,90156231,90156644,90220624,90255353,90359273,90363005,90522708,90531459,90534369,90583073,90641424,90668390,90922488,90924446,90955766,91035567,91275855,91455014,91503713,91517393,91604344,91675142,91706129,91806066,91948650,92177873,92277014,92572649,93088137,93258569,93516702,93685910,93783518,93821798,93975702,93989174,94479987,94507190,94686004,94707489,94715597,94906142,94969972,94989377,95239827,95355113,95357970,95914899,96075353,96091718,96180809,96199766,96285206,96420710,96464657,96486249,96627699,96825593,96966710,97071209,97176606,97180433,97310708,97360912,97364414,97380662,97536372,97641304,97993094,98043135,98078560,98303463,98417937,98488157,98534868,98627678,98970875,98984259,99251448,99355838,99543850,99618695,99762642,99784409,99800537,99864852,99940419,...,48467971557445864076410360917781017340733978001311716498347823953780262131157964692915079895397346663485044445527172911035785352983101452604405964841303163397932142575485179703603767482828343978427552434978376934612930382177388841272202585106167099853137697920951515478633158053248815809446406032787975631402908379141309421671940939806981533685329679949826107922355874403015662491007641191427477621235209546612278770443270658456104204659103353444002385727014469389633777300470713895214641451672205190804599154061674743702020189694983918969586985110855970065029913654574278087648526855156548026358775884591254809857826082448755890381084318668848455537905152238109611361948323377110135080846646506529444636619149635774797318272145362306630119678825758775252346585693919594259235250172318466929589130068707073839432360118299677543552485434358777873055703148515509754926846266749872273943482543144980992306271315953159898057241496413023350873530515461384881309662898704753150253719021478272767969446759106897333221004895695933016637076964139670939905723414935451279765019583098386598707840665674495154003986767130194259194925770796190902400569623576394697074216054468253328269495713779977026468852685931260207597644486215563689295632073222103179626989085444991754156505816913160757357553129470673811743511794830722427745064422633866098921776178155932906627617034748726996623635394252206151913642051588595270253895701666431394702263052354496637037558488959141391352381981812240881743359108698250522018052176372337796928027782086132459870120112209889770569859349425475684809337705944396369378136532304933833800913383435101633838160825046980608823867897374221698054405749055195615318558339298081471252716527041254166677176867596181120802067314873513063772893429696974629878635474819435551536064872663105613507846611254801579838324031924703978786475431564804499626727623954437867169442960704315044306800202892543911995722389625899439532448257993127391346363968501545242927881002011152462018652346666578617442444722541734946874285376709616170699744339672164002792629846640146038306825738405602771151053966859768910397236387289471713029713244809160005129111019643662843159332142944791085444411020640163333924060199058266616766252546179960506035458167617599470933328219911486720112461964241832166040239064314798502926032055300248206317459764778263096500285401624536316791603205922757643979313200012}
15008   272525828389699699545251425142064790740073558483717672263029115: {689218,911767,1107706,1179391,1763746,2001826,2066791,2277416,2331607,2477218,2562093,2683687,2811916,3122167,3169612,3247546,3384391,3558847,3779266,3820665,3993727,4074106,4075376,4080487,4133026,4584798,4838818,5308066,5438829,5544391,5717818,6375916,6593218,6649807,6709666,6730732,6817265,6960585,7058626,7424624,7910167,7928506,8075837,8147116,8180718,8243527,8326687,8333218,8352702,8621818,8658607,8718536,8741407,8906791,9025186,9116121,9431336,9483367,9647265,9738950,9808353,9886906,10230586,10263052,10290416,10345018,10382287,10610253,10745026,10788007,10852525,10916218,11087266,11191927,11317132,11513767,11536910,11576718,11686740,11882865,12153991,12465856,12675056,12877977,12902818,13023030,13072186,13184527,13297786,13427193,13466818,13669185,13766572,13844292,13891232,13968967,14024088,14124991,14141506,14259438,14504961,14580464,14590018,14756637,14812012,15132127,15159916,15330925,15507532,15627636,15669391,15777099,15899385,16096186,16403022,16429306,16481300,16548652,16582207,16927906,16959344,17184991,17259586,17559391,17567425,17756026,17783167,17811106,17940008,18080527,18154687,18262497,18397110,18509421,18818887,18909346,18935785,19079262,19565218,19623584,19777560,19912927,20182509,20343916,20556676,20633287,21062047,21080910,21096064,21215469,21417367,21460808,21558991,21572986,21630205,21770887,22035025,22076532,22249755,22262791,22399372,22486304,22611991,22722942,22970746,23015865,23097847,23182797,23304991,23505466,23647017,23648791,23733072,23906649,24127087,24143409,24145018,24251386,24346785,24410818,24466567,24550256,24723921,25233465,25297092,25802092,25881401,25891906,25956246,25969904,26004991,26334391,26365736,26442030,26699706,26817292,26915696,26987791,27117041,27155116,27412666,27619038,27933946,27954391,28204832,28212537,28245946,28716007,28904791,29023426,29092927,29216142,29217585,29342767,29366680,29661453,29962327,30146791,30280158,30413818,30670018,30791233,30878913,30938647,31165424,31181218,31254177,31334266,31479727,31501757,31596537,31730436,31777807,31837207,31936808,31980189,32187916,32427247,32886893,33037515,33191985,33298807,33413791,33460077,33528487,33562426,33714505,33740126,33870847,34154167,34182892,34364986,34422941,34659607,34955265,34964589,35008505,35061102,35063866,35213218,35240016,35404784,35507116,35561146,35761927,35928909,36033007,36106306,36304066,36355927,36462991,36623047,36869005,36973430,37099327,37285616,37436218,37517791,37614925,37621687,37673527,37711281,38034391,38128265,38316346,38476065,38695207,38738630,38795791,38797516,38803066,38896087,39045826,39124972,39330375,39385018,39393247,39561265,39645018,39794385,39830382,39833425,39931807,40021581,40105612,40109218,40349818,40365967,40413847,40457406,40604647,40841527,40899117,40911176,41041136,41546818,41689786,41771047,41776865,41816767,41907991,41946318,41952400,42010206,42193697,42359791,42447344,42936367,43064386,43111546,43154887,43241791,43355692,43547185,43652936,43799294,44178727,44242806,44324013,44368116,44386807,44472226,44518906,44715991,44921361,45002510,45077818,45137910,45170746,45241087,45291916,45449146,45518791,45753918,46025073,46025167,46171278,46314086,46326946,46406407,46486356,46821875,46897516,46928047,47015866,47196450,47244706,47290426,47328007,47473518,47577991,47685297,47748296,47753262,47800110,48065218,48088641,48101791,48147104,48170407,48200180,48609346,48689425,49109553,49165087,49175630,49331266,49489517,49575991,49861585,49883791,49959586,50012150,50034991,50093818,50132238,50331991,50340017,50342880,50419687,50535607,50564407,50614509,50738385,50904391,50986784,50987767,51125287,51145256,51428218,51610665,51657367,51912607,51917117,51957946,52001986,52012317,52090018,52256622,52484113,52538705,52565791,52565997,52616866,52879426,52905991,53015791,53185018,53247916,53353785,53477527,53497687,53562412,53577607,53597407,53675887,53699072,53716833,53837218,53923906,53967226,54003012,54069007,54120944,54157927,54165492,54183586,54245047,54279391,54397327,54468950,54485818,54504172,54595353,54684391,54729967,54789727,54804487,54862807,55003567,55017247,55044391,55051376,55150087,55238791,55263487,55340900,55345018,55394167,55450687,55526791,55629391,55649047,55654742,55767257,55854391,55870447,55953607,56001991,56046847,56052967,56110207,56169391,56186250,56228791,56271991,56276527,56291791,56302447,56307991,56494786,56635740,56793905,56910704,57254818,57360132,57538413,57758626,57840216,57895976,58137465,58301818,58427310,58634746,58655649,59010756,59193485,59421346,59439585,59681305,59833902,59932000,60014580,60073118,60276710,60365818,60411456,60580136,60716332,60751533,60855226,60886062,60977218,61023916,61044681,61174065,61261306,61331212,61642973,61706146,61867426,61919425,61932798,62013296,62307597,62322464,62473665,62570420,62587208,62590018,63046446,63402224,63505786,64015552,64024542,64289300,64330057,64373818,64388332,64989665,65070243,65132973,65156218,65252336,65362740,65571753,65661346,65738818,65811641,65920808,66009466,66092705,66125218,66162980,66409080,66638576,67007866,67416652,67423500,67465018,67730626,67962888,68152653,68152686,68410018,68809953,68857400,69158818,69240008,69419386,69720256,69764958,69817665,69975106,70112772,70121513,70159546,70193201,70250900,70380346,70410609,70413357,70416172,70437385,70563656,70699310,70805441,70836352,71032182,71257786,71327502,71366818,71404718,71475706,71607916,71617566,71914310,71918400,72017496,72017986,72332052,72377506,72699706,72831585,73233826,73408878,73446466,73483741,73517218,73665777,73962669,73975546,74075421,74151106,74160909,74167310,74303310,74472176,74600477,74710215,74968398,74988226,75084504,75154877,75256689,75572481,75835208,75850426,76055866,76268865,76458249,76682937,76712960,76987757,77147160,77377186,77464575,77497516,77593166,77687024,77731437,77745466,77895009,77987598,78052541,78328289,78377684,78435288,78476218,78661612,78740026,78943046,79084577,79133818,79256864,79311246,79384113,79395576,79557177,79667510,79690896,79775949,79849786,80110252,80153801,80554665,80813626,80908200,81019683,81069896,81079273,81134150,81163426,81353456,81479746,81711597,81838065,81857218,82232386,82290304,82325818,82481218,82628880,82698106,82712361,82719505,83120385,83313466,83557612,83781198,83825425,83952706,84073666,84164218,84301080,84470067,84524862,84613089,84674626,84839172,84958093,84981772,85061818,85190798,85314609,85436141,85620008,85652218,85818740,85857346,85924976,86115916,86252673,86297172,86302080,86468026,86478785,86790555,86845017,86899906,86957218,86999869,87293936,87299746,87397902,87527116,88061390,88090018,88137472,88185025,88229818,88239699,88313506,88424866,88478049,88661744,88729786,88840186,88931116,89000772,89163972,89320023,89515785,89652258,89921152,89957026,90145018,90225346,90747021,90994426,91021725,91203633,91465018,91506926,91522638,91724218,91853218,92033146,92055552,92472985,92517341,92537425,92568226,92576592,92694586,92957490,93444346,93911746,93995336,94016630,94184948,94375358,94418150,94469818,94475116,94637986,94710925,94781506,94838715,95114146,95137786,95483504,95601012,95884185,96162106,96195297,96299386,96322509,96458818,96552776,96572218,96665598,96731265,96841613,96910018,97089840,97190696,97244218,97360980,97530946,97793218,98000985,98117818,98205678,98557516,99070018,99154656,99263406,99379297,99421306,99501785,99635212,99668465,99692265,99727426,99744462,99747706,...,72701957336168796114615541376671526011100967001967574747521735930670393196736947039372619843096019995227566668290759366553678029474652178906608947261954745096898213863227769555405651224242515967641328652467565401919395573266083261908303877659250649779706546881427273217949737079873223714169609049181963447104362568711964132507911409710472300527994519924739161883533811604523493736511461787141216431852814319918418155664905987684156306988655030166003578590521704084450665950706070842821962177508307786206898731092512115553030284542475878454380477666283955097544870481861417131472790282734822039538163826886882214786739123673133835571626478003272683306857728357164417042922485065665202621269969759794166954928724453662195977408218043459945179518238638162878519878540879391388852875258477700394383695103060610759148540177449516315328728151538166809583554722773264632390269400124808410915223814717471488459406973929739847085862244619535026310295773192077321964494348057129725380578532217409151954170138660345999831507343543899524955615446209506409858585122403176919647529374647579898061760998511742731005980150695291388792388656194286353600854435364592045611324081702379992404243570669965539703279028896890311396466729323345533943448109833154769440483628167487631234758725369741136036329694206010717615267692246083641617596633950799148382664267233899359941425552123090494935453091378309227870463077382892905380843552499647092053394578531744955556337733438712087028572972718361322615038663047375783027078264558506695392041673129198689805180168314834655854789024138213527214006558916594554067204798457400750701370075152652450757241237570470913235801846061332547081608623582793422977837508947122206879074790561881250015765301394271681203100972310269595659340144545461944817953212229153327304097308994658420261769916882202369757486047887055968179713147347206749440091435931656800754164441056472566460200304338815867993583584438849159298672386989691087019545952752317864391821503016728693027978519999867926163667083812602420311428065064424256049616509508246004188944769960219057460238607608404156726580950289653365595854580934207569544569867213740007693666529465494264738998214417186628166616530960245000886090298587399925149378819269940759053187251426399206399992329867230080168692946362748249060358596472197754389048082950372309476189647167394644750428102436804475187404808884136465968969800018}
15009   273760005155241436097191996887603667234056907531840627811982077: {1033827,1661559,1992739,2532127,2645619,2846770,3002739,3416124,3514895,3565954,3715827,3962015,4217874,4285138,4754418,4775111,4871319,5094220,5668899,5852879,6111159,6113064,6199539,6496546,6745607,6877197,7251772,7258227,7628719,7729667,7962099,7969895,8252419,8413415,8576727,9004114,9280780,9563874,9695411,9889827,9976319,10064499,10096098,10183895,10420847,10587939,10807618,10898170,10907624,11090674,11136936,11789170,11892759,12154828,12211699,12220674,12271077,12499827,12529053,12573791,12757906,12828815,12863020,12932727,13003159,13077804,13460039,13537779,14146415,14147004,14161927,14364067,14388634,14608425,14830359,14839426,15345879,15394578,15435624,15517527,15582320,15697507,15843820,16117539,16149059,16374327,16550567,16630899,16715218,16975698,17170636,17208215,17302711,17305365,17364040,17365077,17526707,17530110,17619346,17762471,17902924,18225580,18265234,18459056,18515015,18698784,18778207,18949895,18996979,19012584,19339948,19354227,19384415,19534545,19608279,19675516,19946679,20200227,20601625,20649858,20685815,20766438,20836848,21021106,21036132,21094879,21199180,21212259,21389157,21423347,21481474,21852514,21870696,21885027,22005346,22218018,22425010,22723666,22739874,23070019,23261298,23287426,23441454,23551234,23752039,23966338,24144279,24349996,24529480,24548719,24604533,24643959,24679228,24721950,24822978,25391859,25429895,25439016,25439794,25567847,25695845,25889379,26370080,26634039,26716659,26826010,26874706,26910012,27244547,27269746,27547858,27592627,27595665,27944707,27999215,28107880,28287292,28364019,28582559,28618893,29133859,29347827,29435376,29666340,30297256,30494159,30515874,30687820,30835014,30910396,30962746,30979186,31529356,31621365,31644096,31875532,32191212,32252615,32359479,32462380,32624914,32957170,32965228,33114798,33470818,33521615,33599058,33644620,33729456,33943895,33994594,34084413,34270066,34456119,34608328,35256040,35258199,35599608,35699026,35797279,35857079,35910994,36217527,36377079,36616227,36617219,36708350,36825384,36883187,37141426,37570234,37597319,37616716,37945638,38196319,38279839,38433671,38703138,38801411,38837859,38934369,38954856,38956780,39221491,39548604,39663045,39878098,39921010,40049559,40225938,40234895,40373544,40716467,40732674,41118999,41171884,41415634,41428557,41543986,41672236,41672807,41779759,41873938,41900919,42128716,42307248,42368919,42640252,42728615,43365167,43503106,43535139,43580591,43824213,43961359,44050020,44255980,44383895,44613436,44752099,45075959,45294586,45420237,45490247,45620727,45919219,46005027,46582919,46607020,46619452,46748136,46771827,46986688,47001399,47355826,47595654,47905212,48169954,48281874,48496895,48719159,48906215,49036978,49090834,49691267,49796866,50132015,50242351,50281708,50343639,50571139,50610189,50658979,51138970,51274338,51301420,51547479,51835571,51902194,52134274,52440500,52591653,52595799,52618498,52819827,52860024,53007619,53059180,53107176,53260674,53341719,53362108,53943208,54129127,54159459,54194615,54260599,54261634,54293471,54456099,54532156,54566170,54763807,54888226,55394527,55460145,55476946,55928424,56013608,56154327,56614895,56665759,57095794,57136306,57474519,57680707,57809411,58042979,58107945,58196274,58204599,58273618,58308754,58460399,58468387,58568739,58621895,58687458,58940927,58971239,58990408,59077527,59098684,59157488,59249011,59467527,59685370,59745127,59745573,59895148,59941439,60158418,60163827,60183880,60250225,60524727,60585007,60686109,61005224,61366764,61561704,61564247,61628818,61743199,61981808,62018599,62320227,62328131,62534679,62567779,62853778,62899847,62919477,62928600,63015309,63298024,63580396,63671016,63733480,63931570,64084751,64118188,64378834,64596579,64667319,64781266,65033538,65163154,65479404,65698941,66355807,66364209,66425794,66552174,66559895,66664858,66708339,66778359,66842984,66953015,67123840,67328279,67486012,67503765,67616727,67651180,67706865,67756119,67937874,67976146,68130215,68173719,68630877,68814220,69176125,69256917,69349756,69405187,69471129,69490419,69675496,69709978,69729534,69794959,70087996,70127639,70185826,70346274,70523799,70794675,70867059,70935639,70936159,71138380,71184274,71210277,71622444,71629893,71653711,71700165,71739359,71857511,72004016,72097827,72133807,72220656,72300270,72369970,72724279,72793804,72803699,72914019,72965506,73215719,73717127,73763445,73996899,74396146,74915000,74917507,74939379,74944547,75018225,75140727,75184354,75198357,75514320,75725170,75790234,75895415,76279895,76382194,76480176,76500611,76664015,76717884,77056739,77120288,77142327,77314306,77434519,77516620,77579026,77903080,77936919,78002979,78135027,78207532,78213025,78234010,78384933,78681008,78925299,79061327,79252780,79319139,79777527,79778536,79871874,80019440,80343618,80361625,80473594,80485415,80548608,80755827,80885859,80950839,81002044,81004518,81064259,81099538,81123911,81181416,81248238,81275379,81392908,81565420,81703425,81728727,81756258,81975127,82146466,82171234,82245919,82401010,82577064,82703725,82804927,83011350,83017527,83025967,83076796,83076799,83298220,83305727,83482113,83548066,84061928,84270815,84279375,84455279,84483679,84742179,84953610,85041859,85366056,85642258,85645939,85836514,85882227,86040198,86071750,86550010,86637939,86760324,86843964,87052786,87150320,87154834,87429004,87452727,87474127,87640965,87813625,87848639,87873367,87952119,88020215,88204570,88481746,88516134,88545440,88620979,88894727,89059427,89132019,89305199,89482306,89491906,89509895,89750853,89898000,90021870,90109677,90282514,90415065,90548727,90595939,90617184,90870204,90870248,91054079,91074498,91171651,91282839,91314467,91329093,91435954,91465827,91467586,91535874,91603138,91746604,91891959,91996818,92442298,92559219,92685091,92801139,92899197,93019944,93046114,93051827,93090220,93483696,93485698,93703859,93823159,93855630,93880812,93884476,93885027,94001818,94054066,94228834,94569669,94709576,94794010,95016754,95103336,95258679,95490088,95891200,96023328,96036813,96433950,96437986,96442736,96560727,96582498,96590947,96871895,97097914,97108780,97118999,97194307,97552973,97734327,97878504,97972105,98044110,98221036,98327015,98472634,98492019,98608227,98616892,98640946,98767228,98881212,99014199,99071080,99187827,99244470,99466847,99613620,99645479,99957864,...,109052936004253194171923312065007289016651450502951362121282603896005589795105420559058929764644029992841350002436139049830517044211978268359913420892932117645347320794841654333108476836363773951461992978701348102879093359899124892862455816488875974669559820322140909826924605619809835571254413573772945170656543853067946198761867114565708450791991779887108742825300717406785240604767192680711824647779221479877627233497358981526234460482982545249005367885782556126675998926059106264232943266262461679310348096638768173329545426813713817681570716499425932646317305722792125697209185424102233059307245740330323322180108685509700753357439717004909024960286592535746625564383727598497803931904954639691250432393086680493293966112327065189917769277357957244317779817811319087083279312887716550591575542654590916138722810266174274472993092227307250214375332084159896948585404100187212616372835722076207232689110460894609770628793366929302539465443659788115982946741522085694588070867798326113727931255207990518999747261015315849287433423169314259614787877683604765379471294061971369847092641497767614096508970226042937083188582984291429530401281653046888068416986122553569988606365356004948309554918543345335467094700093985018300915172164749732154160725442251231446852138088054611704054494541309016076422901538369125462426394950926198722573996400850849039912138328184635742403179637067463841805694616074339358071265328749470638080091867797617433334506600158068130542859459077541983922557994571063674540617396837760043088062509693798034707770252472251983782183536207320290821009838374891831100807197686101126052055112728978676135861856355706369853702769091998820622412935374190134466756263420683310318612185842821875023647952091407521804651458465404393489010216818192917226929818343729990956145963491987630392654875323303554636229071830583952269569721020810124160137153897485201131246661584708849690300456508223801990375376658273738948008580484536630529318929128476796587732254525093039541967779999801889245500625718903630467142097596636384074424764262369006283417154940328586190357911412606235089871425434480048393781871401311354316854800820610011540499794198241397108497321625779942249924796440367501329135447881099887724068228904911138579780877139598809599988494800845120253039419544122373590537894708296631583572124425558464214284470751091967125642153655206712781107213326204698953454700027}
15010   274999726199947645247920027031795054998854707913768625543271640: {613729,792721,882109,1060669,1378436,1683361,1823534,1949149,2215412,2358782,2478781,2654749,2918161,3355741,3527492,3530269,3704509,3791521,3878461,3965329,4003652,4133582,4270155,4312081,4554832,4571389,4663214,4954436,5124186,5173921,5348931,5367374,5602141,5623832,5687569,6113629,6244334,6326811,6339224,6367775,6427707,6495092,6537889,6707089,6768782,6791581,7117694,7128829,7131627,7548769,7558532,7641330,7987454,8133661,8148212,8150752,8160974,8266052,8466301,8632189,9064715,9169596,9210529,9544171,9677636,9744819,9785341,10616132,10843489,10877658,11088782,11435636,11600975,12129121,12751832,13081249,13186436,13299614,13396321,13419332,13461464,13506171,13634530,13710241,13921170,14117252,14178961,14345811,14849248,15144147,15193535,15262561,15339421,15416209,15820334,15857012,15951709,16078775,16151674,16211427,16294232,16332049,16347255,16361436,16487054,16636011,16653374,16666436,16705404,16936849,17243636,17312509,17317214,17437072,17482814,17683755,17686369,17813582,17835409,18050372,18058429,18232242,18331011,18576289,18862672,18966734,19136859,19294530,19455841,19477900,19616706,19773812,19804775,20108701,20396989,20461172,20526104,20540701,20580832,20690036,20764574,20898721,20970109,21220506,21463295,21490052,21576014,21582951,21609361,21705050,21832436,22174532,22259139,22378655,22383854,22592161,22634264,22781975,23027534,23073820,23091867,23153436,23373480,23765730,24039901,24174935,24307982,24312061,24594395,24785569,24920209,24931712,24987421,25072827,25350112,25463547,25722001,25755954,25805636,26046060,26053021,26144372,26295165,26316541,26369054,26429019,26498975,26510099,26595572,26774929,26854386,26933636,26970301,27100189,27229789,27338370,27397851,27533144,27688584,27782464,27937934,28048176,28249982,28283012,28518876,28888381,29009922,29160928,29180036,29201761,29513274,29624024,29637469,29761309,29823121,30253789,30264254,30282287,30319832,30437495,30661850,30680929,30849035,30974787,31015064,31149657,31255272,31338782,31531659,31554198,31584349,31798770,32192372,32222211,32354209,32588641,32778771,32806044,32858612,32880061,32962600,33008019,33097304,33111901,33164414,33327027,33514849,33629329,33637515,33855812,33918688,34085499,34109811,34369982,34413731,34519172,34758289,34891947,34931139,35091361,35118782,35134850,35146621,35162181,35201809,35326851,35359115,35476669,35512052,35566334,35622212,35749729,35880016,35949507,36020989,36161054,36236701,36309374,36389639,36397729,36524994,36770941,36794220,37018842,37082925,37234467,37637774,37817821,37818692,37869409,37871570,37972369,38158524,38159691,38359775,38637995,38886049,39130436,39247168,39383569,39411695,39555120,39580561,39825854,39844415,39971089,40212829,40239015,40312059,40365018,40500541,40577975,40595869,40687832,40904619,41113352,41206535,41208481,41266574,41321787,41533309,42055775,42124094,42161820,42192128,42352381,42430938,42575761,42834734,42841441,42921616,42973309,43117982,43145972,43260410,43451281,43494301,43541774,44070050,44089021,44153064,44499510,44525582,44546401,44798744,44914141,44972608,45115921,45223982,45445884,45474589,45592849,45773811,45866269,45941492,46031730,46195694,46252521,46365594,46444119,46468779,46609982,46665361,46739809,46813969,46998109,47010932,47020895,47180449,47200307,47294034,47297582,47432701,47466144,47575261,47786941,47813298,48254174,48286818,48290036,48304801,48338749,48502772,48574369,48693570,48695975,48740509,48821636,48933134,48937371,48937501,49002589,49011907,49099681,49100512,49387069,49418641,49435755,49447842,49637629,49672197,49699549,49761181,49914001,50065021,50206227,50398587,50449249,50466930,50478301,50594184,50793121,50877469,50991891,51289489,51405099,51464855,51604184,51607441,51616607,51762802,51783812,51813649,51839101,51912492,51939808,52009982,52090295,52187869,52212241,52380829,52428349,52592401,52660895,52661629,52668782,52731472,52843069,52884060,52954129,53128081,53300315,53359741,53379571,53399412,53421409,53441821,53548539,53582689,53634584,53831392,53866491,53975582,54002449,54092989,54199261,54234082,54310232,54469981,54550801,54629821,54767521,54782461,54797329,54825332,54899389,54913681,54942049,55062525,55238076,55260001,55319975,55385771,55437661,55471249,55707229,55712139,55735201,55766795,55797949,55815229,55867892,55908782,55912861,55957789,55979281,56039869,56071009,56103707,56163421,56168209,56182141,56223901,56227681,56261521,56275741,56285821,56319841,56322109,56324449,56324701,56355351,56409664,56425074,56491892,56918457,57432014,57809582,58046852,58054707,58185854,58258775,58274315,58432284,58435170,58487611,58685534,58733360,59322906,59817147,59881515,59924654,60293582,60338907,60560316,60827636,60966059,61099011,61340036,61582466,61757826,61877294,62026679,62123451,62315979,62330848,62362436,62508354,62668532,62810907,62852135,62959454,63003514,63193074,63460872,63555614,63674414,63873616,63960378,64126775,64375832,64854494,65254659,65550625,65773786,66075030,66323975,66383970,66597614,66702635,66827582,66920154,66935627,67056974,67124852,67429010,67480252,67741694,67941879,68165195,68308334,68365784,68729972,68845882,69319214,69806219,69910530,69929178,70017010,70122204,70127732,70426436,70480032,70809568,71014232,71033739,71122292,71393481,71523854,71857818,71898299,72066014,72212612,72254931,72422811,72608132,72711854,72925982,73246094,73554187,73555467,73636251,73738010,73873355,73946860,74152067,74198654,74571232,74695299,74868935,74872436,75035582,75229850,75243374,75347054,75422562,76026431,76068782,76256530,76632692,76708455,76911507,76952130,77390414,77477260,77591582,77595032,77606132,77792174,77853291,78091652,78201411,78249944,78660750,78770036,78786494,78927747,79122530,79290036,79475495,79511467,79588770,79660764,79666850,79863614,79891011,80043162,80147735,80211224,80218436,80699636,80731934,80827694,80914812,81209294,81392451,81683054,81798234,81822352,81849255,82082272,82128887,82332339,82870879,83093636,83215419,83379572,83542094,83553730,83553827,83633534,83815982,83892636,83904800,84020412,84357515,84387394,84563975,84719582,84894688,85643691,85704459,85872734,86017775,86128772,86223092,86309774,86483582,86670947,86687195,86711384,87094370,87294411,87305872,87410427,87463131,87598588,87609995,88031187,88357454,88485612,88648026,88736232,88773614,88922975,88944452,89037812,89431982,89528055,89842722,90005020,90155636,90237627,90275820,90341492,90482174,90583832,90618011,90898292,90985531,90992255,91037582,91507836,92050146,92050334,92342556,92443227,92529787,92628172,92653892,92812814,92972712,93463591,93643750,93795032,93856094,94031732,94280667,94392900,94489412,94580852,94656014,94947036,95155982,95370594,95496592,95506524,95600220,95820959,95897355,96130436,96177282,96203582,96294208,96340814,96400360,96568251,96895775,97171899,97218692,97378850,97550307,97744731,97759415,98219106,98330174,98351260,98612339,98662532,98979034,99065975,99151982,99638691,99723170,99767582,99828261,99919172,99997287,...,145403914672337592229231082753343052022201934003935149495043471861340786393473894078745239686192039990455133336581518733107356058949304357813217894523909490193796427726455539110811302448485031935282657304935130803838791146532166523816607755318501299559413093762854546435899474159746447428339218098363926894208725137423928265015822819420944601055989039849478323767067623209046987473022923574282432863705628639836836311329811975368312613977310060332007157181043408168901331901412141685643924355016615572413797462185024231106060569084951756908760955332567910195089740963722834262945580565469644079076327653773764429573478247346267671143252956006545366613715456714328834085844970131330405242539939519588333909857448907324391954816436086919890359036477276325757039757081758782777705750516955400788767390206121221518297080354899032630657456303076333619167109445546529264780538800249616821830447629434942976918813947859479694171724489239070052620591546384154643928988696114259450761157064434818303908340277320691999663014687087799049911230892419012819717170244806353839295058749295159796123521997023485462011960301390582777584777312388572707201708870729184091222648163404759984808487141339931079406558057793780622792933458646691067886896219666309538880967256334975262469517450739482272072659388412021435230535384492167283235193267901598296765328534467798719882851104246180989870906182756618455740926154765785810761687104999294184106789157063489911112675466877424174057145945436722645230077326094751566054156529117013390784083346258397379610360336629669311709578048276427054428013117833189108134409596914801501402740150305304901514482475140941826471603692122665094163217247165586845955675017894244413758149581123762500031530602788543362406201944620539191318680289090923889635906424458306654608194617989316840523539833764404739514972095774111936359426294694413498880182871863313601508328882112945132920400608677631735987167168877698318597344773979382174039091905504635728783643006033457386055957039999735852327334167625204840622856130128848512099233019016492008377889539920438114920477215216808313453161900579306731191709161868415139089139734427480015387333058930988529477996428834373256333233061920490001772180597174799850298757638539881518106374502852798412799984659734460160337385892725496498120717192944395508778096165900744618952379294334789289500856204873608950374809617768272931937939600036}
15011   276245016230074335790859446607814827845531468812288211849868852: {1723045,2067654,2735301,2769265,2801821,3323118,3538173,3985478,4409365,4920853,5004565,5064254,5104429,5291238,5546821,5643313,5693540,6005478,6193045,6200373,6541453,6832248,6994821,7029790,7074661,7131908,7431654,7686279,7924030,7972081,8051061,8118865,8435748,8570276,8714101,9135061,9366501,9407953,9448165,9508836,9550222,9742638,10024069,10153173,10185265,10188440,10332565,10664341,10676541,10929181,11157853,11337798,11458213,11461995,11646829,11659549,11705758,11778781,11942653,11981181,12097045,12222318,12226128,12241461,12399078,12723301,12993092,13270165,13440949,13491214,13754394,14095021,14257453,14294545,14503544,14516454,15043573,15257438,15459334,15924198,15939790,16316487,16483045,16504838,16633173,16774165,16826830,16878301,17153454,17646565,17854309,17960341,18008228,18012061,18504541,18561560,18628933,18987469,19127748,19390822,19559761,19779654,19804981,19821265,19949421,19952638,20128998,20192196,20258653,20367790,20451795,20713381,20833045,20841694,20881755,21175878,21426229,21554545,21615236,21796340,21815248,22181348,22273872,22562965,22945873,23578340,23730501,23785518,24091501,24227511,24309656,24340789,24347375,24423398,24441348,24542154,24565153,24717265,24730581,24980061,24999654,25058106,25095649,25147582,25318501,25515812,25533253,25576465,25633861,25657630,25726040,25862545,25865454,25921021,25975821,26006318,26074141,26155608,26224221,26529853,26720373,26862565,26920078,27075558,27079453,27138181,27290545,27348363,27718165,28215781,28292830,28294008,28323854,28450101,28575829,28728134,28756621,28777268,28842275,28941795,28960141,29182549,29216850,29425059,29660718,29678852,30691758,30789156,30871248,31035054,31146861,31164640,31395014,31687640,31830759,31945213,32097853,32198101,32235078,32257045,32298118,32364021,32557575,32680465,32748654,33101134,33221821,33244465,33261798,33430436,33575781,33667045,33951396,34341272,34416430,34541301,34582501,34605422,34610730,34728080,34730154,35053414,35060220,35238692,35353765,35524942,35601853,35648595,35805848,35974183,36451160,36461973,36475045,36530468,36918112,37030030,37208149,37301653,37397568,37556414,37847821,37899790,37993958,38025168,38101981,38329981,38633931,38679896,38708454,38768830,39069090,39126109,39198901,39216558,39351032,39553581,39893358,40240465,40281579,40400454,41007555,41073265,41084269,41096701,41203250,41299716,41371630,41532876,41673696,41906901,42020533,42042212,42072264,42093853,42189758,42319765,42374973,42398360,42424518,42634141,42778314,42846694,42962948,43148965,43514883,43588561,43589029,43589221,43705028,43741392,43770054,44010692,44269911,44390065,44436036,44443573,44527765,44586721,44850020,44860981,45153661,45396381,45447332,45479748,45480541,45579601,45730261,45814021,45856213,45992775,46140038,46522596,46574852,46586149,46795501,46882908,46910653,46930261,47008173,47102468,47273365,47331297,47504078,47521453,47698155,47932676,48119461,48162001,48231949,48288558,48699992,48725713,48913045,49058960,49097438,49209066,49249681,49287918,49358456,49443900,49555153,49645956,49746621,50379013,50660461,50783718,50859790,50878032,50879588,51091021,51135694,51199621,51391690,51554973,51778758,52079101,52678173,52702275,52740160,52877941,53026621,53268078,53349501,53409829,53433318,53554741,53592709,53652020,53749412,53761201,53820024,53932465,54241581,54464061,54489094,54539492,54787491,55095716,55185254,55191330,55528263,55889414,55930501,55996861,55998430,56019781,56215760,56328853,56418949,56456661,56574584,56728038,56807355,56927461,56941933,56985853,57165118,57237786,57426865,58267718,58695654,58763665,58858453,58870752,59073421,59332680,59738781,59820061,59832133,60014581,60362545,60443041,60547527,60594512,60628465,60954949,60988318,61027045,61031748,61375640,61572529,61670028,61820792,61899861,61925492,61958372,62137453,62298373,62783341,63038221,63058712,63186141,63242730,63288192,63646407,63751064,64083853,64252101,64382424,64385953,64440949,64505230,64567381,64676973,64718958,64729765,64890615,64924760,64944949,65003221,65249828,65312661,65338093,65644909,65862301,65914340,65930456,66105075,66229596,66749265,66788373,66941636,66993373,67043230,67198116,67289240,67458912,67778653,67828861,67835973,67887790,67895653,67989188,68168826,68320213,68468701,68504389,68531665,68540132,68912238,69047595,69216656,69293541,69302353,69548391,69834865,69914973,70137073,70184821,70284001,70299829,70315069,70512080,70516398,70614865,70936261,70941051,70946373,71199216,71398052,71594558,71714158,71719947,71821988,71867389,71944021,72381261,72430227,72435054,72558565,72754158,72813493,73040355,73107661,73232454,73234438,73399701,73416700,73650768,73766374,74036941,74171763,74282852,74656021,74954629,75140468,75194638,75233432,75249253,75271621,75700395,75872461,75891276,76034545,76392638,76559678,76675045,76686901,76867342,77055661,77287501,77406276,77602822,77629021,77644203,77675718,77735653,77868738,77909712,77913560,77953045,78014973,78335665,78442982,78873661,79003173,79097208,79260853,79326090,79756196,79842020,80099118,80451876,80469790,80747088,80963373,81351123,81432934,81465348,81742621,81829333,82070653,82237998,82343768,82831268,82857114,82979149,83087972,83344472,83345614,83559518,83747876,83801838,83863173,83906065,83969953,84220021,84257432,84350315,84521869,84614496,84637611,84737838,84922513,85076701,85280504,85312693,85457230,85912465,86148021,86714373,86730334,87006212,87070278,87074941,87120241,87161182,87278781,87369421,87648426,87652755,87659665,87922718,88028301,88033045,88100040,88497109,88511960,88767790,88902865,88984359,89226872,89408341,89504198,89886981,90151918,90265765,90279781,90323629,90383749,90409813,90440373,90541489,90589172,90760165,90840474,90980494,91241454,91257853,91542781,91731061,91838438,92010054,92373699,92433575,92636739,92711761,92815941,93165838,93183853,93214040,93238904,93496272,93543654,93590545,93734221,93762531,93843469,93973376,93976861,94002798,94439181,94505271,94711652,94789611,94888189,95191308,95333421,95351281,95382301,95446453,95455333,95471053,95511621,95790865,95810424,95873713,95940567,96339908,96563748,96846575,96880261,96993790,97007665,97011541,97281741,97438318,97614565,97812430,97974673,98073956,98181668,98183773,98462545,98660679,99112545,99382534,99480481,99575955,99593732,99735229,99811693,99827461,99896421,...,218105872008506388343846624130014578033302901005902724242565207792011179590210841118117859529288059985682700004872278099661034088423956536719826841785864235290694641589683308666216953672727547902923985957402696205758186719798249785724911632977751949339119640644281819653849211239619671142508827147545890341313087706135892397523734229131416901583983559774217485650601434813570481209534385361423649295558442959755254466994717963052468920965965090498010735771565112253351997852118212528465886532524923358620696193277536346659090853627427635363141432998851865292634611445584251394418370848204466118614491480660646644360217371019401506714879434009818049920573185071493251128767455196995607863809909279382500864786173360986587932224654130379835538554715914488635559635622638174166558625775433101183151085309181832277445620532348548945986184454614500428750664168319793897170808200374425232745671444152414465378220921789219541257586733858605078930887319576231965893483044171389176141735596652227455862510415981037999494522030631698574866846338628519229575755367209530758942588123942739694185282995535228193017940452085874166377165968582859060802563306093776136833972245107139977212730712009896619109837086690670934189400187970036601830344329499464308321450884502462893704276176109223408108989082618032152845803076738250924852789901852397445147992801701698079824276656369271484806359274134927683611389232148678716142530657498941276160183735595234866669013200316136261085718918155083967845115989142127349081234793675520086176125019387596069415540504944503967564367072414640581642019676749783662201614395372202252104110225457957352271723712711412739707405538183997641244825870748380268933512526841366620637224371685643750047295904182815043609302916930808786978020433636385834453859636687459981912291926983975260785309750646607109272458143661167904539139442041620248320274307794970402262493323169417699380600913016447603980750753316547477896017160969073261058637858256953593175464509050186079083935559999603778491001251437807260934284195193272768148849528524738012566834309880657172380715822825212470179742850868960096787563742802622708633709601641220023080999588396482794216994643251559884499849592880735002658270895762199775448136457809822277159561754279197619199976989601690240506078839088244747181075789416593263167144248851116928428568941502183934251284307310413425562214426652409397906909400054}
15012   277495900061086708799394835272205036353467787789223984973785787: {434507,643667,912011,1090547,1227458,1239107,1328147,1585442,1764218,2121338,2684411,2756872,2830811,2947787,3101481,3366722,3385307,3443507,3559811,3647068,3898298,3994811,4139411,4430824,4600787,4717564,4957562,4984677,5260427,5309498,5460347,5545907,5602907,5836322,5978217,6114467,6142811,6538787,6708011,6711482,6736187,6961307,7054984,7060538,7116925,7382027,7409018,7577747,7583042,7596381,7756922,7930658,7936857,8007304,8134787,8267164,8540310,8550467,8624162,8661011,8914885,9008217,9109664,9142778,9239267,9326428,9895811,9908872,10140827,10248372,10276667,10347842,10544685,10697862,10712845,10734748,10845011,10952867,11147481,11204282,11247664,11375138,11886045,11891147,12077627,12157427,12210587,12227258,12488668,12653622,12678448,12690601,12735550,12855414,12990184,13075778,13083107,13240811,13414178,13537564,13583162,13790507,14180987,14235388,14257658,14263254,14325333,14613957,14647187,15097538,15117064,15187811,15282660,15418427,15673907,15974908,15979427,16207811,16241365,16267322,16296424,16301504,16321948,16334411,16532104,16738187,16863947,16932602,16964411,17006697,17189987,17264378,17558637,17614307,17688947,17713811,17838011,17862827,18061067,18085811,18129430,18333477,18339192,18421058,18598617,19044587,19088342,19355272,19489638,19570682,19773827,20135747,20236821,20255987,20631591,20782667,20854187,21115811,21232264,21270949,21471011,21612587,21686978,21755316,21774681,22177564,22510285,22618787,22871272,22873811,22886157,23189001,23201950,23243027,23587307,23886297,23909685,24258242,24474011,24757257,25058387,25240245,25459787,25503664,25730181,25792307,26057027,26145011,26162498,26342507,26372872,26451947,26599228,26604827,26792642,26838664,26922928,26996147,27012342,27019045,27245425,27255587,27269060,27420482,27726685,27842340,28218227,28234504,28324187,28357922,28408811,28691622,28913867,28955747,29086233,29331227,29472925,29662811,29669481,29698496,29928957,29971811,30048613,30193497,30197267,30258587,30288294,30381011,30387070,30503147,30525122,30551685,30678842,30832418,30867827,31008947,31262541,31330117,31489811,31640668,31668947,31714024,31763817,31894765,31903418,32064707,32157550,32182811,32303348,32422854,32476811,32588464,32593907,32664098,32694510,32722872,32974108,33078707,33136547,33272022,33306748,33332872,33348011,33410808,33539411,33710987,33844909,33873698,34203011,34432153,34487272,34625018,34634428,34671011,34874144,34965628,35152427,35367510,35372738,35482547,35627164,35670818,35678277,35701187,35755667,35773811,35971585,36045011,36100744,36116858,36403811,36464484,36635097,36662022,36741707,36813231,36830147,37006427,37098565,37152578,37499481,37587159,37634411,37720811,37721373,37725344,37933468,38047307,38273718,38486445,38589060,38758787,38798181,38842547,38909411,38911682,38955800,39009477,39233412,39406811,39547624,39609550,39750707,39978011,39994187,40217402,40380117,40523507,40613337,40618811,40670773,40793978,40922344,41052208,41081402,41161664,41184587,41380072,41417267,41529148,41540627,41785811,41788045,41797442,41862011,41940218,42104507,42149747,42315011,42374867,42439245,42441012,42485781,42612493,42926590,42980104,42981011,42995627,43005937,43068587,43092201,43152028,43165902,43188649,43199411,43218722,43410100,43473467,43545107,43645067,43664872,43825275,44048365,44180867,44349064,44491077,44518278,44554547,44757310,44767708,44935907,45097427,45137627,45184322,45268528,45563950,45614411,45663085,45679811,45797027,45887747,45952307,45990947,46037637,46055068,46147640,46183734,46306872,46373387,46524347,46552581,46746960,46835147,47092521,47189411,47201507,47381987,47531460,47596187,47796107,48016811,48079802,48143267,48348107,48349870,48352617,48415811,48447177,48594947,48615964,48624122,48794027,48957947,49023011,49122981,49184411,49188790,49344011,49396811,49502761,49571138,49595627,49647467,49651701,49719707,49771067,49812011,49840418,49863424,49892697,49923947,49974842,50075027,50145654,50253947,50459411,50700224,50803427,50925107,50927094,51063827,51164411,51353747,51380507,51444002,51511908,51574547,51611272,51618107,51624645,51696011,51824411,51875267,51900587,51908133,51916095,52092120,52095231,52106042,52231307,52288744,52320011,52399811,52552765,52580121,52590330,52603547,52633082,52634411,52672811,52738108,52858038,52861811,52965467,52997950,53020198,53038547,53053067,53082011,53191144,53287413,53398811,53473787,53549858,53561147,53601011,53634011,53692907,53703685,53708772,53770427,53867272,53928227,53940602,54093193,54105011,54199667,54200378,54303707,54332147,54459578,54504011,54536387,54563147,54631285,54676740,54709307,54795702,54814811,54883187,54940547,54987467,55013365,55066288,55092347,55176373,55222787,55264667,55272947,55309811,55377168,55428011,55462067,55484411,55545045,55564928,55622627,55692011,55720667,55782181,55811507,55814411,55828811,55831667,55845827,55875868,55887107,55897811,55986011,56040827,56062525,56085011,56096352,56102867,56157707,56197907,56219627,56257667,56276027,56301227,56305811,56309411,56321267,56334621,56337011,56339747,56499964,56566024,56809165,56849685,56990937,57037752,57689149,57776762,58019844,58062681,58153245,58218565,58321856,58360072,58403522,58603635,58824837,58878085,59026548,59248048,59274938,59522618,59646242,59840037,59915845,60507578,60528508,60564574,60600681,60639664,60874990,61323700,61361858,61698070,61804875,61949574,62030128,62057445,62299314,62510544,62677564,63063318,63108396,63168698,63284637,63597540,63599485,63636777,64167471,64270041,64384744,64444422,64708418,65177282,65557542,65612088,65655081,65717224,65760122,65829253,65925200,66016038,66194608,66223802,66304381,66328828,66654054,67029698,67065025,67186765,67258658,67275030,67711624,67837376,68170998,68174365,68219622,68739964,68827462,68869645,69038344,69210057,69516578,69783894,69862278,70182722,70237564,70269700,70293242,70324362,70403618,70653702,70718230,70953338,71024104,71132668,71244424,71256117,71499458,71760032,71899014,72041978,72050797,72322108,72432837,72473402,72618748,72779278,72795458,72926413,73049988,73304257,73541882,73588440,73646157,73725253,73813599,73931877,74037684,74165850,74468934,74620441,75275548,75635642,75637384,75738818,75743140,75944738,76175577,76289685,76317048,76319382,76703541,76719550,77087535,77275990,77406865,77447965,77668137,77769241,77772098,78073513,78260872,78494336,78767138,78823390,79105741,79110240,79161122,79651708,79688830,79902117,79942178,80149977,80425658,80478030,80624118,80730036,81001082,81155950,81191738,81375664,81562285,81584041,81733641,81809238,82226704,82392925,82413070,82416962,82533148,82643574,82777881,82786995,83066618,83677045,83834121,83997645,84111550,84248188,84323640,84384256,84704762,84861876,84970717,84986485,85092057,85151522,85669468,85675165,85682882,85747677,85843232,85856679,85946618,86235964,86291944,86520820,86902562,86988602,87083548,87401577,87634261,87992989,88043481,88140100,88178042,88306128,88999020,89051164,89092802,89247565,89597488,89777485,89828282,89945216,90231842,90447964,90891768,90949178,91185698,91482477,91547622,91732538,91770875,91791109,91882984,92063460,92391388,92505042,92731188,92853565,92888238,92937558,93219964,93330722,93383689,93479618,93627938,93925585,93996218,94021864,94041790,94360898,94400614,94588068,94595164,94864095,94865402,94932288,95150522,95431273,95573882,95626596,96508348,96573636,96580072,96609602,96677498,96757845,96867529,97005544,97078437,97148738,97387140,97391950,97481018,97643272,97866268,97874742,97875002,98005178,98023814,98199362,98201024,98774138,98837282,98871510,98895684,99275258,99344394,99399098,99522362,99695245,99802525,99828002,...,327158808012759582515769936195021867049954351508854086363847811688016769385316261677176789293932089978524050007308417149491551132635934805079740262678796352936041962384524962999325430509091321854385978936104044308637280079697374678587367449466627924008679460966422729480773816859429506713763240721318835511969631559203838596285601343697125352375975339661326228475902152220355721814301578042135473943337664439632881700492076944578703381448947635747016103657347668380027996778177318792698829798787385037931044289916304519988636280441141453044712149498277797938951917168376377091627556272306699177921737220990969966540326056529102260072319151014727074880859777607239876693151182795493411795714863919073751297179260041479881898336981195569753307832073871732953339453433957261249837938663149651774726627963772748416168430798522823418979276681921750643125996252479690845756212300561637849118507166228621698067331382683829311886380100787907618396330979364347948840224566257083764212603394978341183793765623971556999241783045947547862300269507942778844363633050814296138413882185914109541277924493302842289526910678128811249565748952874288591203844959140664205250958367660709965819096068014844928664755630036006401284100281955054902745516494249196462482176326753694340556414264163835112163483623927048229268704615107376387279184852778596167721989202552547119736414984553907227209538911202391525417083848223018074213795986248411914240275603392852300003519800474204391628578377232625951767673983713191023621852190513280129264187529081394104123310757416755951346550608621960872463029515124675493302421593058303378156165338186936028407585569067119109561108307275996461867238806122570403400268790262049930955836557528465625070943856274222565413954375396213180467030650454578751680789455031189972868437890475962891177964625969910663908687215491751856808709163062430372480411461692455603393739984754126549070901369524671405971126129974821216844025741453609891587956787385430389763196763575279118625903339999405667736501877156710891401426292789909152223274292787107018850251464820985758571073734237818705269614276303440145181345614203934062950564402461830034621499382594724191325491964877339826749774389321102503987406343643299663172204686714733415739342631418796428799965484402535360759118258632367120771613684124889894750716373276675392642853412253275901376926460965620138343321639978614096860364100081}
15013   278752402618138006354702465948990773907729889903282803346222789: {15013,1841187,2378163,2412263,2646327,3131447,3182007,3311243,3446090,3876971,4135308,4558835,5050083,5470602,5538530,5603642,5847447,5896955,6032507,6173111,6646236,7006391,7076346,7436343,7964247,7970956,8360963,8670263,8754483,8818730,9841706,10009130,10067223,10128508,10208858,10298483,10333955,10514771,10582476,10590807,11093642,11113527,11286626,11366411,11374563,11387080,11635383,11658035,11846627,11895987,11987987,12010956,12214967,12386090,12400746,12810465,12936243,12968087,13082906,13227431,13347671,13418435,13664496,13714167,13779467,13989642,14059580,14149322,14259371,14263816,14367911,14465591,14782583,14863308,15372558,15521763,15610835,15848060,15944162,16038131,16046793,16102122,16237730,16806423,16871496,16921955,16935863,17004131,17062707,17140552,17428202,17794235,18270122,18340887,18519443,18578231,18733002,18815906,18896330,18980433,19017672,19100444,19103325,19283121,19485276,19613667,19913687,19947083,19968635,20012363,20048138,20121267,20131127,20306346,20370530,20374743,20376880,20402435,20451491,20665130,20945387,21100547,21328682,21353082,21386487,21394881,21858362,21869003,22315706,22646307,22675596,22916426,22923990,22996343,23076263,23293658,23319098,23411516,23483831,23557562,23885306,23962362,24194090,24400983,24444636,24452256,24482922,24528347,24667511,24705191,24798156,25321907,25398903,25446602,25896567,25961531,25986184,26319827,26398787,26540330,26881898,26982428,27194145,27294167,27455171,27508788,27585611,27631587,27721955,27749771,28190042,28514906,28589090,28632513,28766387,29007088,29032908,29141687,29166263,29234457,29264003,29356023,29508611,30087146,30159383,30176363,30265271,30294563,30514876,30918668,31588151,31848396,31879580,32102171,32530467,32632974,32966090,33009676,33249035,33266346,33345923,33548330,33653660,33756602,34086325,34306908,34488467,34604171,34802925,35267303,35293130,35708618,35807051,35874071,35920682,36016456,36024122,36207563,36252887,36387363,37009082,37123120,37257866,37607591,37974938,38206763,38255496,38781644,38805431,39119522,39243747,39550835,39559308,39609962,39642530,39898842,39905276,40188963,40257996,40379185,40384392,40517306,40518513,40735580,40903590,41130723,41217635,41426762,41633435,41666090,41683388,41763510,41877131,42351756,42536883,42584567,42852458,43037433,43109090,43230472,43293035,43543931,43592680,43630496,43707035,43913111,43973267,44362696,44533955,44547744,44729243,45125930,45159863,45432441,45580605,45752651,45787683,45891746,45931607,46018263,46239947,46248627,46542251,46761683,47046071,47133863,47156680,47416835,47461002,47478647,47508647,47571036,47855127,48183002,48236325,48455022,48619312,48634281,48681578,48694750,48716627,48846796,48882696,48996147,49022891,49041765,49084308,49130306,49434530,49461162,49495271,49908033,49960122,49999308,50058251,50116212,50191298,50295164,50385803,50584727,50637002,50810547,50941907,51031624,51065063,51066506,51152930,51267722,51315260,51452080,51514307,51725090,51730908,51842042,51911435,51937527,51951642,52012636,52086107,52148282,52311216,52448442,53017523,53051265,53059107,53059706,53131703,53400731,53440746,53506227,53725130,53840156,53940035,54143843,54151116,54158906,54175287,54262625,54276362,54581090,54696726,54993033,55275431,55385171,55409411,55436330,55586423,55728867,55959635,56252867,56336651,56431562,56585660,56588016,56647708,56900202,57151658,57410577,57456268,57487931,57502571,57513242,57554536,57568835,57597803,57684550,57883590,57920282,58365098,58367523,58433700,58848311,58850118,58866371,59247671,59265047,59321436,59357704,59414325,59958611,60022787,60309911,60326103,60408551,60508643,60769955,61190967,61383516,61578312,61622103,61742496,62070108,62146091,62293722,62329280,62338871,62584727,62696163,62790028,62791787,62910327,63120707,63375280,63661518,63690071,63890426,63958487,64195706,64389885,64396202,64470156,64514090,64576067,64596236,64728042,64748853,64828083,65115150,65360930,65497308,65653907,65683883,65845943,65922635,66099683,66182711,66202268,66256187,66443642,66488930,66523596,66777417,66791831,66860872,67135965,67151562,67334090,67507331,67553987,67776483,67787771,67902792,68345925,68478263,68682544,68832860,69082602,69165002,69210844,69221460,69275601,69423911,69456160,69460308,69814043,69844835,70058867,70106828,70120440,70324727,70477384,70624955,70707530,70784243,70926323,71049884,71203706,71297190,71611696,71722487,71948366,71960771,72037667,72119703,72524805,72902320,72923946,72936183,72950090,73060936,73610807,73783185,73836224,74060060,74356707,74416298,74603306,74760627,74795136,74962263,75112828,75218481,75281747,75505451,75660635,75695642,75739943,75799580,75808727,75987916,76050336,76203962,76390641,76654625,76659962,77066027,77166003,77267862,77359792,77416908,77455571,77537660,77580347,78128243,78138180,78159063,78252218,78346955,78397802,78433116,78552707,78691031,78702064,78885495,78949623,79107162,79226243,79287057,79496925,79530297,79606967,79786716,80324787,80397611,80480930,80563158,80800908,80910903,81057623,81300567,81689367,81741251,82015110,82146530,82168538,82193402,82193553,82269131,82406500,82599432,82743260,82911035,83065752,83099627,83297687,83347392,83813802,83833763,84041066,84084424,84144528,84187706,84379516,84507563,84639530,84749946,84796720,84849036,84879851,84934187,85268282,85437863,85556628,85693388,85794227,85924955,85925896,86057411,86297930,86399963,86665143,86761847,87029766,87177122,87178058,87178442,87410056,87482784,87498203,87540108,87605283,87796955,87837125,88021384,88229843,88539822,88644887,88780130,88872072,88887146,88912407,88915835,89055530,89173442,89283927,89337203,89469363,89700040,89721962,90249527,90307322,90402635,90621671,90641111,90761367,90773435,90792762,90846861,90894664,90959496,90961082,91159202,91196327,91270331,91312485,91460522,91497011,91628042,91712426,91756811,91985550,92042787,92280076,92547105,92924361,93045192,93149704,93172298,93448971,93591002,93736523,93765816,93821306,93848771,93860522,94016346,94094435,94204936,94546730,94594977,94662594,94678925,94753047,94958147,95008156,95042906,95205011,95396310,95865352,95944331,96238922,96324002,96463898,96486947,96577116,96617111,96666633,96864791,97025027,97062627,97378007,97399984,97451426,97765923,97768811,97826090,98000531,98066267,98117920,98194876,98336313,98418132,98499362,98575836,98640183,98691107,98716912,98860811,98887800,99024057,99110306,99291912,99335703,99493242,99564635,99981081,...,436211744017012776687693248260029156066605802011805448485130415584022359180421682236235719058576119971365400009744556199322068176847913073439653683571728470581389283179366617332433907345455095805847971914805392411516373439596499571449823265955503898678239281288563639307698422479239342285017654295091780682626175412271784795047468458262833803167967119548434971301202869627140962419068770722847298591116885919510508933989435926104937841931930180996021471543130224506703995704236425056931773065049846717241392386555072693318181707254855270726282865997703730585269222891168502788836741696408932237228982961321293288720434742038803013429758868019636099841146370142986502257534910393991215727619818558765001729572346721973175864449308260759671077109431828977271119271245276348333117251550866202366302170618363664554891241064697097891972368909229000857501328336639587794341616400748850465491342888304828930756441843578439082515173467717210157861774639152463931786966088342778352283471193304454911725020831962075998989044061263397149733692677257038459151510734419061517885176247885479388370565991070456386035880904171748332754331937165718121605126612187552273667944490214279954425461424019793238219674173381341868378800375940073203660688658998928616642901769004925787408552352218446816217978165236064305691606153476501849705579803704794890295985603403396159648553312738542969612718548269855367222778464297357432285061314997882552320367471190469733338026400632272522171437836310167935690231978284254698162469587351040172352250038775192138831081009889007935128734144829281163284039353499567324403228790744404504208220450915914704543447425422825479414811076367995282489651741496760537867025053682733241274448743371287500094591808365630087218605833861617573956040867272771668907719273374919963824583853967950521570619501293214218544916287322335809078278884083240496640548615589940804524986646338835398761201826032895207961501506633094955792034321938146522117275716513907186350929018100372158167871119999207556982002502875614521868568390386545536297699057049476025133668619761314344761431645650424940359485701737920193575127485605245417267419203282440046161999176792965588433989286503119768999699185761470005316541791524399550896272915619644554319123508558395238399953979203380481012157678176489494362151578833186526334288497702233856857137883004367868502568614620826851124428853304818795813818800108}
15014   280014548936550442946318236464190272586872411168633493466719527: {464473,869014,1001449,1287334,1824022,1890649,2181094,2420713,2454916,2478214,2656294,2860453,3170884,3528436,4082149,4168873,4242676,4860073,5169135,5368822,5513744,5661622,5895574,6143653,6202962,6652549,6733444,6737113,6770614,6887014,7119622,7294136,7796596,7989622,8205903,8278822,8307795,8330149,8405463,8745049,8827813,8861648,9201574,9435128,9651493,9897193,9915124,9963695,9969354,10467973,10520854,10614519,10618996,10920694,11091814,11205814,11672644,11956434,12228934,12285622,12480839,12660635,12795049,13077574,13228095,13416022,13422964,13472374,13922614,14109968,14121076,14233850,14675113,14762559,14764054,14818036,14997983,15013695,15155494,15166084,15192762,15215653,15313287,15513844,15861316,15873714,16014608,16269574,16534328,16640463,16929939,17080620,17100934,17248324,17322022,17574475,17716393,17829770,17865433,18016434,18088453,18162649,18219328,18285556,18478534,18579135,18601119,18652856,18827173,19339993,19624359,19631449,19791622,19810075,19817744,20281654,20496744,20553334,20695684,20984463,21089370,21223983,21395724,21425690,21426949,21469496,21690022,21905734,22294962,22408564,22495328,22737911,22750276,22900393,23058837,23177449,23772090,23782294,23875555,23916243,24138073,24153183,24155254,24314854,24356595,24421174,24454516,24545449,24977336,25307244,25356896,25381202,25471100,25485913,25710828,25980368,26142303,26149033,26151556,26166214,26481622,26828356,27075128,27166324,27405183,27581014,27775333,28099503,28223859,28344495,28361974,28470776,28515316,28526508,28650666,28729513,29169253,29227914,29264395,29294374,29356633,30038149,30072207,30195076,30234128,30375622,30459519,30555795,30565320,30650149,30836854,30953449,30997695,31013893,31315033,31347814,31514399,31852549,31949816,31958854,31993023,32029623,32207653,32415622,32482730,32534644,32592848,32603008,32643896,32668822,32787543,32968153,33064208,33372613,33473559,33476374,33727894,33728035,33865204,33928822,34013394,34227433,34374639,34379974,34385985,34528756,34676713,34732549,34940487,34978647,35117274,35228614,35286949,35336343,35377894,35427622,35676022,35725654,35779753,35827959,35943543,36122134,36171622,36258860,36291135,36588133,36666954,36678384,36724383,36842116,37197234,37640773,37692649,37826663,38089174,38143595,38169903,38176684,38411353,38648335,38710544,38765413,38817359,38979276,39141364,39547654,39810495,39849475,40001113,40271494,40322847,40387033,40434949,40473642,40511974,40673449,40862953,41262095,41263182,41331673,41565334,41658727,41708374,41838949,42066649,42067075,42231622,42285063,42464528,42541898,42772359,42883635,42942022,43003333,43225174,43373956,43510632,43549362,43567273,43652953,43823449,44202853,44244649,44355128,44452549,44652671,44822233,45020570,45105733,45130719,45237574,45266149,45701353,45742544,45747622,45772314,45818533,46242649,46378002,46403900,46432549,46470313,46486054,46991449,47174614,47210473,47391013,47586451,47676133,47772594,47819370,48065459,48232549,48477055,48516484,48948022,48949461,49449135,49514514,49574233,49881595,49899519,50116774,50322495,50360219,50480490,50595049,50623813,50634903,50919475,50919574,51007328,51018949,51156649,51183973,51399973,51460362,51584614,51937991,51970213,52104235,52114054,52290022,52324996,52339033,52645573,52685014,52745744,52805593,52903894,52939695,53198456,53209654,53222149,53532649,53562927,53585284,53632549,53677328,53711173,53845856,53845993,53881023,53992294,54024684,54036183,54038090,54105049,54211753,54298693,54349993,54434053,54490850,54511174,54516313,54538120,54675433,54840964,54842149,54900613,54986149,55055449,55069093,55239913,55433449,55444933,55453370,55478953,55513623,55598149,55639333,55684680,55708633,55827973,55845253,55886799,55887193,56056933,56094949,56310949,56324773,56342053,56345833,56354149,56355049,56436454,56469008,56648374,56715844,56817622,56962407,57383244,57827734,57911494,58172466,58503263,58662454,58679283,58945850,59325622,59338962,59396992,59414943,59463795,59848263,59857914,59943622,60097226,60386994,60394534,60517174,60576588,60762022,60774140,60775959,61006294,61050244,61058495,61103370,61355385,61357684,61664836,61667711,61735654,62017894,62140143,62499135,62525082,62645265,62660234,62868955,62979622,63281336,63337894,63428048,63527634,63789530,63806836,63928319,64129414,64144075,64278687,64315100,64365622,64606696,64663635,64845708,64953622,65015795,65176928,65187814,65328196,65389020,65445744,65948216,66157414,66273094,66544044,66613496,66665744,66696022,66821616,67078822,67300195,67421974,67688895,67689818,67747396,68406022,68837619,68864306,68974544,69250036,69268856,69342022,69748288,69931256,70304854,70732075,70735020,70745476,70809635,70965094,71191503,71254328,71341636,71356554,71402374,71511334,71547622,71820335,71943170,72090022,72201488,72233716,72274503,72682533,72807622,72928968,73022367,73042125,73270194,73324044,73483414,73573871,73626462,73660294,73695459,74012854,74151795,74171911,74191743,74197130,74305156,74940183,74998962,75174318,75185159,75268822,75286947,75441622,75442746,75450688,75866936,75955503,76094614,76483799,76547436,76599759,76729395,76901583,76972890,77018711,77178120,77517574,77587635,77596362,77685094,77763063,77818822,77823364,77911600,77927463,78018954,78222423,78359723,78466824,78487535,78672663,78813622,79095248,79219100,79501414,79532831,79589559,79956022,79988374,80161119,80434804,80587695,80745295,80760234,81047014,81111811,81226674,81237622,81238359,81341546,81414543,81505991,81587956,81844688,81871635,82045089,82104416,82162804,82323328,82369174,82429319,82752835,82760144,82834534,83058296,83081254,83154495,83571622,83576090,83594884,83724022,83880436,83882183,84209014,84299494,84630022,84647343,84749734,84878490,84882024,84971562,85224986,85350303,85727487,85853180,85960208,85962022,85991254,86011874,86041075,86137174,86184402,86269863,86304056,86331804,86377298,86398822,86437444,86513555,86526825,86820200,86825385,86880423,86946934,87034783,87090214,87290134,87329744,87547647,87633535,87650550,88096730,88275177,88361734,88698128,88812355,88982154,89036556,89039279,89109094,89514620,89535416,89871814,90194854,90275254,90368644,90537056,91127900,91228822,91326170,91359622,91594054,91775494,91904614,91909103,91981894,92075274,92110136,92295280,92367468,92575075,92613744,92746774,93048694,93105162,93440583,93488603,93493920,93670294,93891035,94061471,94185042,94378822,94403014,94749475,94763974,94984895,95062920,95192374,95444111,95492277,95592214,95803807,95835639,96033622,96159604,96286534,96293559,96417503,96594303,96696214,96699740,96705234,96771135,96831622,96894354,96922075,97092063,97189894,97231928,97248244,97588054,97672725,97915894,98041395,98046022,98245962,98368822,98377580,98688022,98793622,99005522,99142276,99191254,99294934,99303402,99419179,99439414,99542134,99624022,99665463,99680836,99726848,99733395,99785394,99847894,99949684,...,654317616025519165031539872390043734099908703017708172727695623376033538770632523354353578587864179957048100014616834298983102265271869610159480525357592705872083924769049925998650861018182643708771957872208088617274560159394749357174734898933255848017358921932845458961547633718859013427526481442637671023939263118407677192571202687394250704751950679322652456951804304440711443628603156084270947886675328879265763400984153889157406762897895271494032207314695336760055993556354637585397659597574770075862088579832609039977272560882282906089424298996555595877903834336752754183255112544613398355843474441981939933080652113058204520144638302029454149761719555214479753386302365590986823591429727838147502594358520082959763796673962391139506615664147743465906678906867914522499675877326299303549453255927545496832336861597045646837958553363843501286251992504959381691512424601123275698237014332457243396134662765367658623772760201575815236792661958728695897680449132514167528425206789956682367587531247943113998483566091895095724600539015885557688727266101628592276827764371828219082555848986605684579053821356257622499131497905748577182407689918281328410501916735321419931638192136029689857329511260072012802568200563910109805491032988498392924964352653507388681112828528327670224326967247854096458537409230214752774558369705557192335443978405105094239472829969107814454419077822404783050834167696446036148427591972496823828480551206785704600007039600948408783257156754465251903535347967426382047243704381026560258528375058162788208246621514833511902693101217243921744926059030249350986604843186116606756312330676373872056815171138134238219122216614551992923734477612245140806800537580524099861911673115056931250141887712548445130827908750792426360934061300909157503361578910062379945736875780951925782355929251939821327817374430983503713617418326124860744960822923384911206787479969508253098141802739049342811942252259949642433688051482907219783175913574770860779526393527150558237251806679998811335473003754313421782802852585579818304446548585574214037700502929641971517142147468475637410539228552606880290362691228407868125901128804923660069242998765189448382650983929754679653499548778642205007974812687286599326344409373429466831478685262837592857599930968805070721518236517264734241543227368249779789501432746553350785285706824506551802753852921931240276686643279957228193720728200162}
15015   281282364162298228530567734402452707126243442576121464642457329: {30026,1303521,1931001,2736033,3068645,3271641,3682374,3700801,3717321,3963605,3984441,4410545,4756326,4824526,5292654,5303345,6262894,6364014,6382369,6622486,6892180,7379717,7732769,7753942,7918601,8053233,8255737,8270616,8416805,8492433,8716433,8843361,9117670,9304443,9745745,10100166,10155921,10330521,10425029,10679433,10941204,11077060,11207284,11694894,11793910,11945849,11984433,12065014,12346222,12393905,12418233,12578837,13273745,13292472,13802361,14012782,14098793,14152692,14167621,14467537,14590805,14872686,14954031,14983817,15325921,15781281,15928494,15941912,16321249,16381041,16637721,16721926,16778705,16808721,17144209,17340526,17508966,17533769,17637460,17651345,17934651,18210641,18343401,18428433,18509513,18522545,18785809,18957605,19004617,19392305,19616361,19683412,19826645,20018260,20124033,20134446,20208561,20257016,20361857,20417716,20596966,20667910,20698201,20883921,21029542,21164952,21181614,21350775,21560405,21855169,22146081,22187284,22227054,22404569,22573252,22732822,22733241,22749126,22774160,22789143,22856945,23270766,23316070,23690737,23693254,23791974,23810571,23975974,24021912,24404361,24429934,24772180,24801492,24911929,25578149,25620930,25651401,25869605,25872486,25936174,25983033,26165812,26454862,26695342,26744655,26836870,27024651,27086729,27328992,27428334,27558934,27603721,27717801,27956089,27979284,28010705,28119160,28219393,28223393,28298644,28437845,28518742,28527632,28563409,28735822,28931182,29152513,29565166,29687433,29726616,30422481,30568145,30745116,30830001,30830977,31043526,31122113,31221670,31634055,31696120,31838875,31888324,32076262,32093586,32138535,32204244,32475460,32535033,32689445,32858601,33108809,33442443,33535445,33612846,33742992,33843910,33871726,33957905,34008262,34125414,34281104,34591793,34856404,34873813,35588470,35644145,35658135,35673441,35878897,36232881,36472281,36540244,36631761,36681774,37038886,37156462,37466004,37631812,37743845,37792660,37858073,37960866,38035344,38071803,38200888,38206650,38449157,38566242,38670521,38810737,38970552,39227334,39249321,39722433,39827374,39894166,39937270,40024726,40096276,40242534,40262254,40612692,40668305,40733033,40741060,40749486,40753760,40804870,40902982,41330260,41371521,41689769,41890774,42105209,42201094,42331505,42542961,42645713,42657364,42706164,42772974,42789762,42844321,42975999,43160945,43716724,43738006,43841871,43941561,44631412,44765209,45292614,45323575,45351192,45508793,45563433,45832852,45847980,45992686,46052645,46152526,46169537,46255281,46548649,46587316,46638196,46823032,46967662,47021721,47115124,47720855,47770612,47924724,47938281,48388180,48623433,48724095,48801966,48889272,48904512,48926705,48965844,49003233,49056694,49335022,49410382,49596312,49711289,50214561,50591841,50643814,50674073,50797806,50866961,50893204,50893233,51020091,51569961,51793134,51856457,51897313,51923062,51972368,52639654,52675911,52797574,52842921,53066841,53080660,53141433,53514033,53588481,53763796,53964856,54183201,54217445,54257433,54388290,54588334,54910342,55000431,55017576,55171222,55263174,55371169,55443910,55499542,55795851,55945769,55947457,56034833,56380084,56530859,57001289,57029812,57133761,57178180,57265026,57532774,57704689,58004875,58014176,58065816,58283374,58286809,58332526,58468914,58528006,58712046,59017222,59321481,59965817,59966677,60174292,60318766,60352726,60407241,60530542,60589126,60610249,60645605,60710463,60767961,60843169,60985121,61029752,61189849,61598273,61837336,61894773,62238857,62347537,62348001,62562561,62925449,63176302,63347433,63696792,63759160,63812847,64204342,64251217,64403429,64413033,64837761,65060934,65221529,65265948,65324043,65406245,65452721,65854801,65932180,66019352,66383569,66480661,66498070,66532692,66691846,66981605,67096660,67307320,67513204,67530855,67856361,68172650,68551205,68613816,68621433,68658471,68976934,69208342,69567003,69605850,69729081,69784849,70303109,70534606,70573649,70586260,70761921,70894805,70936021,70955753,71417236,71614102,71658891,71729055,71748142,71841364,72032912,72048244,72163009,72415126,72505774,72676009,72774726,73422033,73747553,74018164,74246240,74271771,74316821,74515732,74676569,74890513,75175161,75215182,75516049,75720735,75949876,75967675,76312805,76379361,76413526,76510992,76697105,77081045,77190543,77376921,77563288,77590981,77610862,78066617,78171081,78239044,78343489,78435033,78487494,78701617,79027521,79093481,79101670,79111801,79118616,79219924,79236901,79285060,79355841,79721753,79758545,79797684,79810552,79814481,80377926,80393875,80515992,80596369,80758370,80768784,80988441,81034612,81037026,81057135,81097241,81471160,81660245,81736275,81766761,81807180,82261446,82435270,82838449,82853524,83111041,83180055,83266870,83332180,83366776,83527020,83754262,84654681,84684245,84703512,84972561,85073766,85077937,85099793,85169134,85226433,85704916,86074866,86095189,86218180,86460944,86562545,86586070,86741601,86867241,87087862,87185360,87258699,87260992,87319801,87414070,87826222,87946534,87993681,88418775,88431845,88516769,88725392,88988433,89008443,89067910,89095488,89177045,89341817,89458486,89786871,89915433,90145839,90251860,90292145,90319726,90580491,90591801,90775761,90864882,91091201,91143033,91161210,91505302,91509441,91575366,91655055,91783492,91863214,92036526,92291689,92479894,92497254,92603481,92881445,93026841,93084502,93308833,93523366,93787623,93990351,94002953,94080961,94092142,94267726,94313360,94469433,94833670,94922004,94957294,95006841,95017294,95142072,95291451,95496809,95684295,95710254,96194121,96232753,96366004,96472650,96516649,96548433,96910044,97158497,97238624,97268562,97279205,97363156,97389500,97430433,97433254,97644569,97693592,97765392,97781721,97782769,97992294,98045782,98083530,98168616,98260612,98442721,98869060,98874937,98922324,98958281,98990542,99023875,99056561,99095509,99236121,99409641,99686021,99816066,99920244,99998616,...,981476424038278747547309808585065601149863054526562259091543435064050308155948785031530367881796269935572150021925251448474653397907804415239220788036389058808125887153574888997976291527273965563157936808312132925911840239092124035762102348399883772026038382899268188442321450578288520141289722163956506535908894677611515788856804031091376057127926018983978685427706456661067165442904734126406421830012993318898645101476230833736110144346842907241048310972043005140083990334531956378096489396362155113793132869748913559965908841323424359134136448494833393816855751505129131274882668816920097533765211662972909899620978169587306780216957453044181224642579332821719630079453548386480235387144591757221253891537780124439645695010943586709259923496221615198860018360301871783749513815989448955324179883891318245248505292395568470256937830045765251929377988757439072537268636901684913547355521498685865094201994148051487935659140302363722855188992938093043846520673698771251292637810184935023551381296871914670997725349137842643586900808523828336533090899152442888415241646557742328623833773479908526868580732034386433748697246858622865773611534877421992615752875102982129897457288204044534785994266890108019203852300845865164708236549482747589387446528980261083021669242792491505336490450871781144687806113845322129161837554558335788503165967607657641359209244953661721681628616733607174576251251544669054222641387958745235742720826810178556900010559401422613174885735131697877855303021951139573070865556571539840387792562587244182312369932272250267854039651825865882617389088545374026479907264779174910134468496014560808085222756707201357328683324921827989385601716418367711210200806370786149792867509672585396875212831568822667696241863126188639541401091951363736255042368365093569918605313671427888673533893877909731991726061646475255570426127489187291117441234385077366810181219954262379647212704108574014217913378389924463650532077224360829674763870362156291169289590290725837355877710019998217003209505631470132674204278878369727456669822878361321056550754394462957275713221202713456115808842828910320435544036842611802188851693207385490103864498147784172573976475894632019480249323167963307511962219030929898989516614060144200247218027894256389286399896453207606082277354775897101362314841052374669684252149119830026177928560236759827704130779382896860415029964919935842290581092300243}
15016   282555873552492692270434421181557767158028807729871004592368774: {45039,703543,882463,928946,1738028,2002898,2038423,2215183,2567839,2574668,3444439,3648044,3781298,3793063,3880039,3966943,4313839,4362188,4659583,4841426,4909832,4956428,5090143,5261863,5312588,5523561,5604439,5689903,5720906,6341768,6794383,6963223,7056872,7134489,7236789,7938981,8164298,8220343,8337746,8485352,8552839,8615225,9296743,9394341,9546021,9720146,9933729,10338270,10737644,11009839,11027488,11323244,11493463,11630913,11791148,11894503,12134263,12214039,12287306,12405924,13086823,13305098,13466888,13474226,13541228,13676505,13774028,13794439,13846325,13949173,14009105,14239244,14262943,14588272,14651383,15150249,15346039,15422863,15593192,15979244,16411806,16415023,16557644,16615590,16660298,16793383,16810926,17320063,17490098,17542341,17655626,17690865,17723296,17724889,17917663,18066343,18097521,18403148,18519333,18658183,18870256,19302986,19537303,19794386,19830248,19927390,19938708,19942373,20189839,20908039,20935946,20979463,21019173,21041708,21229038,21237992,21689743,21841388,22046825,22183628,22309029,22411628,23345288,23640223,23892741,23912868,24457868,24571244,24604265,24796903,24961678,24998863,25022825,25066039,25082889,25321270,25522145,25590098,25733839,25800223,26010789,26155148,26263449,26456190,26722039,26832044,26845928,26944748,27112783,27734105,27845228,28216565,28219936,28242152,28269463,28467700,28964839,29350226,29525118,29528108,29636072,29837263,29995966,30027390,30201669,30310988,30332168,30385524,30431306,30626574,30756343,30895449,30965225,31001865,31027688,31059103,31544313,31718839,31722632,31747428,31772421,32029216,32075023,32539148,32707265,33068656,33128023,33185839,33280926,33340581,33425777,33760039,33859878,33987703,34099233,34101103,34123689,34161240,34201868,34383343,34496648,34644044,34906149,34974105,35108743,35148950,35164039,35219263,35373305,35432786,35539881,35659540,35687961,35730866,35963961,36032868,36176906,36325298,36438656,36571112,36644901,36789439,36842503,36957068,37106743,37158270,37202238,37305712,37654346,37837039,37888663,38431395,38654383,38679986,38808729,38904261,39155863,39248718,39262898,39583244,39620150,39635488,39682293,39860405,40040383,40043013,40255305,40521703,40563308,40569439,40594325,40970153,40993488,41042839,41106668,41142501,41230183,41276839,41338401,41391368,41968926,42178740,42447966,42643039,42778113,42791448,42851380,42853898,42938992,43103733,43380044,43396773,43517839,43560823,43570505,43689343,43811468,43986703,44155039,44347749,44589924,44612023,44817128,44938903,44979439,44990656,45140863,45475822,45500552,45539383,45675305,45800786,45969439,46117674,46354898,46390783,46565289,46766263,46832505,47039765,47061463,47219249,47240825,47423983,47544180,47564588,47751110,47814439,47832486,48114393,48140379,48276146,48306366,48310508,48332839,48366823,48502039,48629708,48713190,48842348,48909032,48998839,49090898,49233041,49447903,49760023,49954672,50120345,50125063,50419269,50508823,50614488,50713792,50762404,50765865,50807589,50926325,50942200,50971826,51012393,51188121,51374839,51421656,51481543,51662825,51871423,51896839,51960736,52245103,52269439,52284606,52298066,52303112,52332428,52413943,52876903,52963244,53075839,53184857,53321705,53382705,53401033,53476663,53497039,53597839,53656712,53716423,54056623,54107669,54150256,54235543,54253039,54332648,54645905,54651343,54810366,54820039,54834943,54951583,54965839,55022661,55036039,55117903,55162028,55298839,55488343,55550666,55558329,55639039,55734693,55747543,55789265,55838623,55961743,55999183,56055343,56088103,56186023,56199006,56210863,56238533,56267023,56270839,56364439,56367463,56369623,56369983,56447718,56688990,56723948,56941299,56941552,57030632,57053016,57291065,57301332,57309975,57459026,57766933,57849363,58234145,58297745,58338506,58455828,58528790,58588748,58713266,58841001,58893905,59713265,59741061,59841249,59905905,60037089,60076298,60144414,60363801,60390152,60393381,60468256,60485225,60751244,60919038,61111590,61124229,61130640,61207305,61300298,61354473,61673708,61906898,61995390,62027786,62630066,62695628,62836161,63028798,63301641,63616505,63705098,63899632,63917708,63986046,64059246,64159461,64184643,64415306,64831244,64965460,65069288,65185696,65206016,65287792,65337644,65575086,65607009,65936306,66128416,66350825,66745226,66947118,66952748,66962489,67204745,67455788,67456070,67730408,67857644,67867877,67938921,68026788,68454866,68749278,68759948,68771970,68989029,69057512,69228789,69353426,69465098,69834233,69880974,69957294,70234548,70451493,70457228,70475105,70573898,70672686,70755788,70855244,71287265,71352044,71451308,71472725,71559506,71655918,71887086,72244268,72343244,72517720,72582270,72945929,73176266,73202949,73333908,73356768,73448766,73585041,73684232,74002533,74115573,74394468,75217865,75281546,75385298,75653326,75965721,76178348,76196709,76287190,76339806,76353368,76822706,77296670,77421088,77530826,77634718,77689701,77790053,77884593,77958552,78282728,78959481,79095308,79196361,79620990,79698950,80002226,80542988,80645694,80774066,80869898,80947284,81023948,81346898,81582435,81725906,81882501,82365513,82415225,82524190,82526364,82663346,82756833,82894761,83130668,83165865,83249313,83317454,83416748,83677898,83870825,84133298,84134150,84391505,84463244,84570126,84929056,85003589,85083796,85481893,85544718,85767270,85884044,85897539,86006666,86299161,86450348,86705729,86747912,87021264,87098724,87134546,87305906,87425061,87498789,87646898,87657713,87703371,87792009,88016537,88068069,88232825,88405706,88489298,88525833,88710256,88905098,89271545,89305342,89644466,89801705,90041140,90060305,90211466,90261438,90475148,90478149,90529089,90532298,90654377,90795813,90883689,91022113,91402706,91485088,91495244,91544628,91637066,92485298,92522705,92756004,92807800,92865098,92940626,92972108,93144665,93982898,94220273,94349228,94420946,94764453,94782026,94937345,95172902,95352266,95545188,95638740,95859413,96130918,96306513,96465098,96954110,97032968,97591401,97798805,97896044,97898922,98898270,99024905,99029028,99106325,99133489,99148466,99747105,99763190,99799038,...,1308635232051038330063079744780087468199817406035416345455391246752067077541265046708707157175728359914096200029233668597966204530543739220318961050715185411744167849538099851997301722036365287417543915744416177234549120318789498714349469797866511696034717843865690917923095267437718026855052962885275342047878526236815354385142405374788501409503901358645304913903608608881422887257206312168541895773350657758531526801968307778314813525795790542988064414629390673520111987112709275170795319195149540151724177159665218079954545121764565812178848597993111191755807668673505508366510225089226796711686948883963879866161304226116409040289276604058908299523439110428959506772604731181973647182859455676295005188717040165919527593347924782279013231328295486931813357813735829044999351754652598607098906511855090993664673723194091293675917106727687002572503985009918763383024849202246551396474028664914486792269325530735317247545520403151630473585323917457391795360898265028335056850413579913364735175062495886227996967132183790191449201078031771115377454532203257184553655528743656438165111697973211369158107642712515244998262995811497154364815379836562656821003833470642839863276384272059379714659022520144025605136401127820219610982065976996785849928705307014777362225657056655340448653934495708192917074818460429505549116739411114384670887956810210188478945659938215628908838155644809566101668335392892072296855183944993647656961102413571409200014079201896817566514313508930503807070695934852764094487408762053120517056750116325576416493243029667023805386202434487843489852118060498701973209686372233213512624661352747744113630342276268476438244433229103985847468955224490281613601075161048199723823346230113862500283775425096890261655817501584852721868122601818315006723157820124759891473751561903851564711858503879642655634748861967007427234836652249721489921645846769822413574959939016506196283605478098685623884504519899284867376102965814439566351827149541721559052787054301116474503613359997622670946007508626843565605705171159636608893097171148428075401005859283943034284294936951274821078457105213760580725382456815736251802257609847320138485997530378896765301967859509359306999097557284410015949625374573198652688818746858933662957370525675185715199861937610141443036473034529468483086454736499559579002865493106701570571413649013103605507705843862480553373286559914456387441456400324}
15017   283835102475869516019055876068063798056920229345931010349993109: {15017,60052,1393419,2172535,2607042,3004347,3218335,3790699,3862002,4296103,4330087,4560055,5452735,5472066,5549047,5671947,6092383,6137290,6174763,6195535,6543282,6640735,7262139,7364748,7401602,7424683,7434642,7888663,7927210,7968882,8247919,8581359,8821090,9138727,9512652,9649052,9700603,10301239,10585308,10606690,10933567,11010043,11651503,11783527,12246447,12506619,12525788,12728028,12728407,12764738,13244972,13351243,13422055,13446343,13467247,13624699,13644043,13784360,14154055,14580219,14738935,14759434,14786539,15465538,15491743,15507405,15507884,15837202,16042423,16106466,16157707,16511474,16541232,16746619,16833610,16926535,16984866,17217535,17351467,17432866,17686722,17771983,17799055,17861503,18019303,18235340,18430959,18583243,18608886,19491490,19957647,19974055,20200332,20211339,20311842,20427127,20661042,20697055,20721727,20785963,20850058,21358866,21766123,21874879,21882408,22154120,22407583,22414568,22662463,22731643,23003935,23389788,23490187,23587820,23891698,23968866,24130028,24369259,24617709,24692444,24711883,24787810,24836466,24923385,24990447,25157674,25216389,25543519,25931563,26084647,26235147,26302135,26478127,26483439,26540647,26547490,26584944,26613499,27149227,27301735,27593023,27604722,27729535,27757303,28014535,28025564,28197586,28305384,28335242,28587343,28597927,28768183,28935074,28954479,29181610,29194363,29691579,29745372,29891085,29908062,29967634,30184567,30273403,30572335,30651842,30714055,31403919,31447999,31562562,31843557,31856988,31883824,31999723,32427679,32642498,32693935,32762082,32964907,33113263,33235207,33275442,33354919,33443852,33540055,33557410,33617442,33680935,34288418,34681052,34806535,35017932,35067538,35274920,35276779,35302690,35584625,35869302,36217447,36262699,36421282,36636907,36686802,36780679,36856866,36903163,36910135,37003963,37019026,37045090,37442517,37571618,37617583,37888735,37915210,37981905,38009234,38385147,38784610,38822443,39214987,39232722,39366824,39615967,39653290,39684285,39812983,40036520,40248066,40268892,40417122,40514032,40673935,40723714,40835432,41100823,41193932,41335820,41396402,41767842,41888383,42059084,42329904,42363228,42701550,42752335,42795403,43120810,43305055,43426507,43604023,43606207,43606783,43710338,44025339,44287677,44292162,44374568,44454108,44574425,44741359,44809138,44993949,45041085,45100303,45146504,45465644,45466482,45498252,45548320,45578286,45646959,45713890,45748687,45765223,45832699,45939861,46196335,46541532,46632140,46949623,47032519,47058763,47381474,47386508,47419999,47541067,47583948,47621142,47951948,48043824,48139039,48251383,48808722,48859868,49036063,49269727,49353643,49479055,49544360,49602984,49638523,49823858,49901803,49921389,50399479,50704135,50789817,51111607,51156298,51241860,51302802,51383335,51549739,51739210,51744972,51872348,51966066,52331624,52723425,52841383,52899247,52909724,53145979,53149179,53390684,53489310,53564225,53596299,53614303,53673740,53783119,54049302,54173458,54225055,54265359,54322663,54377983,54487947,54657984,54764335,54856668,55117868,55207442,55290283,55435602,55601419,55602823,55737405,55803357,55912178,55958568,56021410,56238320,56268223,56438786,56446786,56481519,56597288,56875690,56897599,56935627,56950507,57037484,57055264,57126818,57471644,57503503,57613279,57862364,58019979,58074187,58305026,58492087,58864123,58873077,58894347,58972759,59003023,59097643,59130332,59173783,59264107,59374866,59430225,59453232,59455735,60039199,60388135,60425323,60467623,60787135,60844962,60979963,61052935,61136290,61490232,61660002,61661954,61666519,62087052,62158927,62244226,62361643,62443340,62953389,63268110,63392240,63453005,63671949,63677750,63707323,63776648,64152524,64187172,64277070,64280847,64408488,64473703,64950920,65070066,65230303,65378890,65415535,65717202,65889127,66117727,66204055,66217618,66440623,66809197,66884886,67020619,67045207,67070890,67225692,67364863,67485984,67525543,67687820,67743452,67915810,68016524,68213733,68250828,68403067,68497387,68562208,68701179,68952535,69176511,69183586,69330607,69351019,69532347,69712808,69747626,70328443,70583143,70779403,70803487,70904935,70965499,71176940,71288290,71316270,71346882,71626665,71741899,71748729,71757794,71778103,71897023,71971147,71980303,72414219,72459549,72465762,72797959,72944562,73069785,73080488,73137823,73235935,73263522,73363548,73636347,74067499,74077772,74312924,74932008,75239167,75263624,75487690,75585320,75716146,75760459,75904423,75921732,75939055,76070688,76143606,76401776,76413300,76431247,76457739,76898314,77092135,77098507,77132484,77341042,77621474,77778283,77941104,78077119,78369535,78426909,78447099,78454668,78498642,78574063,79126687,79442119,79444866,79654748,79788332,79874540,79897135,80049452,80192552,80245099,80485068,80524508,80712943,81039055,81206825,81225384,81336610,81466066,81482120,81498972,81507520,81609740,81672055,81763303,81775879,81805964,81960583,82215549,82542463,82660520,82675387,82743042,83325999,83379538,83389003,83610619,83690935,83781548,83856799,84210418,84298509,84319735,84402188,84663010,84671577,84822055,84903847,85033485,85085922,85291426,85314728,85412328,85545948,85579524,85688642,85949935,85951998,86188539,86321890,86438047,87110407,87156199,87433448,87476012,87507759,87683742,87793185,87883122,88069899,88071535,88254127,88444735,88529023,88569055,88597867,88942639,89107819,89190055,89262824,89314135,89530418,90114447,90216621,90305335,90361183,90429055,90578143,90585228,90647150,90702384,91017586,91126866,91295287,91378557,91529527,91568743,91665704,91667385,91695960,91768459,91950447,91985372,92105290,92305052,92339074,92510562,92749807,92860347,92993085,93041679,93097298,93103483,93174632,93276392,93646064,93754363,93762007,93774247,93935324,93945099,94043442,94203103,94230248,94543197,94927723,95090119,95222935,95441710,95541224,95557647,95849448,95876562,95971687,95979069,96088869,96622959,96776360,96890923,97246866,97448190,97603932,97658143,97778544,97809024,97853410,97931688,97961083,98006466,98014519,98113388,98362629,98670044,98820764,98869135,98904459,98995279,99192624,99252727,99422578,99852619,...,1962952848076557495094619617170131202299726109053124518183086870128100616311897570063060735763592539871144300043850502896949306795815608830478441576072778117616251774307149777995952583054547931126315873616624265851823680478184248071524204696799767544052076765798536376884642901156577040282579444327913013071817789355223031577713608062182752114255852037967957370855412913322134330885809468252812843660025986637797290202952461667472220288693685814482096621944086010280167980669063912756192978792724310227586265739497827119931817682646848718268272896989666787633711503010258262549765337633840195067530423325945819799241956339174613560433914906088362449285158665643439260158907096772960470774289183514442507783075560248879291390021887173418519846992443230397720036720603743567499027631978897910648359767782636490497010584791136940513875660091530503858755977514878145074537273803369827094711042997371730188403988296102975871318280604727445710377985876186087693041347397542502585275620369870047102762593743829341995450698275685287173801617047656673066181798304885776830483293115484657247667546959817053737161464068772867497394493717245731547223069754843985231505750205964259794914576408089069571988533780216038407704601691730329416473098965495178774893057960522166043338485584983010672980901743562289375612227690644258323675109116671577006331935215315282718418489907323443363257233467214349152502503089338108445282775917490471485441653620357113800021118802845226349771470263395755710606043902279146141731113143079680775585125174488364624739864544500535708079303651731765234778177090748052959814529558349820268936992029121616170445513414402714657366649843655978771203432836735422420401612741572299585735019345170793750425663137645335392483726252377279082802183902727472510084736730187139837210627342855777347067787755819463983452123292950511140852254978374582234882468770154733620362439908524759294425408217148028435826756779848927301064154448721659349527740724312582338579180581451674711755420039996434006419011262940265348408557756739454913339645756722642113101508788925914551426442405426912231617685657820640871088073685223604377703386414770980207728996295568345147952951789264038960498646335926615023924438061859797979033228120288400494436055788512778572799792906415212164554709551794202724629682104749339368504298239660052355857120473519655408261558765793720830059929839871684581162184600486}
15018   285120076413278086647815897755215244217686184053822778770454163: {75065,90078,912377,1001717,1061237,1180181,1328681,1407086,1764926,1857892,1891157,1950197,2068181,2215481,2244917,2480117,2831957,2919737,3476056,3532181,3706517,3910563,3996437,4005796,4076846,4083257,4141097,4430366,5119481,5135678,5149336,5548181,5690681,5793003,5804537,6654377,6710777,6795317,6888878,7244981,7296088,7562596,7586126,7760078,7933886,8054777,8208099,8221481,8249237,8470997,8627678,8636981,8724376,8747477,8885417,9078197,9205935,9319166,9682852,9708857,9814923,9819664,9899957,9912856,10180286,10523726,10625176,10957481,11047122,11102403,11151963,11208878,11334137,11379806,11441812,11521877,11655737,11890815,11953323,12061315,12162581,12683536,12851477,13193897,13231635,13325237,13587317,13588766,13926446,14113744,14135081,14264981,14268978,14290937,14473578,14679317,15142997,15271337,15527417,15657235,15877962,15910035,16328596,16417397,16440686,16556215,16675492,16946681,16970704,17047097,17105678,17230450,17322581,17696681,17796137,17920277,18093737,18167957,18593486,18788682,19052981,19092042,19147107,19384855,19394357,19440292,19612747,19685717,19867458,20048297,20648597,20676540,20863481,21077717,21433337,21475288,21480617,21551477,21692981,21716537,21904697,22019678,22054976,22139151,22646488,22745081,22794175,22884137,22986926,23198307,23261826,23322581,23529257,23568259,23582296,23666681,23755803,23789006,23803817,24145397,24159699,24268526,24326837,24428078,24552917,24574612,24598037,24767211,24811848,25250415,25477299,26149299,26157077,26173646,26223017,26464181,26530083,26610196,26933776,26948452,27082456,27116981,27246677,27353010,27440681,27548056,27588878,27692650,27898346,27913329,28018210,28478488,28525886,28591097,29176544,29220137,29237235,29302766,29484775,29738837,29986037,30047657,30088697,30162535,30272981,30300498,30456617,30467763,30692078,30700457,30845726,30865555,30991563,31064057,31186384,31275087,31504937,31604597,31684181,31958488,32038299,32375081,32453417,32823612,32830046,32978837,33115288,33152681,33231180,33320596,33536681,33586766,33621852,33651257,33727481,33898517,33993257,34125557,34445971,34640126,34743977,34781177,34980196,35031955,35084682,35225081,35298617,35311252,35381730,35446592,35449778,35731003,35773481,35835326,35837547,35953299,36132686,36153077,36195042,36386297,36493481,36760181,36806296,37025081,37038666,37130537,37181715,37254699,37316366,37705397,37736511,37739957,37740512,37963817,38066681,38605972,38660981,38677817,38827747,38828981,38912681,39074606,39179177,39503191,39588772,39660496,39821235,39854780,39877416,39884746,40047317,40063481,40240757,40304981,40379678,40528757,40544681,40687637,40877237,40955897,41159477,41407083,41804815,41816078,41853737,41871892,41884217,41958926,42020981,42038346,42083416,42172181,42296379,42337577,42382517,42458076,42472181,42475984,42502863,42783737,42974837,43351315,43379486,43402611,43582997,43682776,43697237,43772415,44093650,44367256,44618058,44620181,44823256,44862093,44947157,44951451,44960681,45149177,45162581,45560981,45626681,45790171,45977763,46016681,46259957,46663157,46690576,46849337,47033717,47280446,47343843,47433017,47444981,47694377,47785482,47825736,47870357,48205481,48656681,48778517,48822581,48915736,48963747,49142488,49143123,49208530,49457657,49522627,49593806,49676981,49841717,49872377,49913163,49923356,49997726,50045650,50132078,50135081,50145077,50165778,50336115,50343317,50426163,50470457,50518997,50642540,50806037,50900117,50956181,51002681,51044290,51177557,51180196,51195797,51223097,51412181,51432627,51467678,51492137,51492415,51600446,51669775,51882197,51932981,52008617,52021578,52066997,52231637,52264181,52310296,52377077,52432937,52456757,52526898,52573855,52574777,52601307,52667897,52895657,52912380,52918037,52954035,52999481,53245097,53259257,53392181,53433557,53444078,53655977,53664088,53669177,53688917,53691856,53734697,53803953,53882357,53889496,54129077,54141077,54225566,54247637,54305717,54368681,54486197,54540917,54631923,54663737,54668981,54700277,54817577,54852437,54867257,54891797,54920981,54949877,54992681,55011497,55030203,55130681,55201337,55285299,55328297,55348757,55467317,55468210,55505237,55528539,55556981,55567635,55690456,55712681,55732217,55804567,55855097,55919957,55959977,55978037,56022677,56034617,56071481,56082581,56127017,56191481,56256917,56274857,56306681,56353397,56357427,56359481,56365481,56375477,56382377,56382581,56384057,56384297,56384681,56433130,56439872,56484304,56538926,56832055,56872815,56935400,57013851,57929678,58176915,58184503,58290175,58700452,58849083,59050236,59056216,59233135,59272144,59441899,59479935,59674526,59939935,59991932,60054780,60372099,60403338,60621976,60625683,60664336,60771048,60862612,60998707,61074835,61085571,61253148,61512686,61790898,61930450,62003730,62055376,62094603,62118206,62651763,62854831,63088626,63437678,63445264,63494856,63544842,63945427,64052325,64058432,64150046,64681215,64840435,65078296,65414530,65565507,65855671,66137155,66137312,66256046,66371678,66438243,66561852,66681162,66738355,66851554,67092175,67213707,67520078,67719756,67975406,68198466,68199723,68202206,68247378,68322480,68367429,68403736,68570835,68766686,68897335,68993296,69288088,69812298,69948210,70168483,70217486,70297900,70328078,70438526,70746610,70865572,71072211,71079762,71296855,71319080,71375922,71431713,71461732,71839555,71927922,72065736,72327955,72353812,72650596,72877312,73142224,73213083,73289802,73578878,73685006,73912915,73914136,74213486,74316540,74404476,74611424,74650387,74735787,75308692,75674078,75777326,76504267,76734447,76862790,76954203,77308766,77359972,77608815,77617458,77808522,77949099,78054175,78104971,78311726,78497436,78525796,79137487,79166488,79240300,79270976,79364586,79720810,80080766,80086026,80190655,80207491,80233965,80510610,81043406,81073953,81126616,81138878,81188650,81260187,81527803,81616843,81940306,81986976,82085678,82213336,82285002,82451467,82460366,82553678,82676802,82782736,82811163,83153403,83598571,83868267,83937852,84032115,84357480,84609775,84658179,84670179,84679315,84895932,85020655,85286078,85313535,85556226,85582896,85690227,85702760,85707796,85877984,86207466,86760088,86793546,87035678,87121646,87141010,87378686,87457539,87622936,87973406,88310078,88695498,88971175,89062299,89063107,89179848,89224046,89634256,89877806,89958878,89981312,90281726,90951644,91001104,91078766,91267443,91350610,91601572,91704435,91933699,91938878,92235348,92490003,92492931,92597215,92709796,92781566,92891155,93130578,93366339,93532526,93665010,94079530,94086643,94122926,94438498,94481650,94847966,94902165,95088360,95129176,95502220,95516625,95628878,95664972,96228786,96280758,96415605,96552292,96612732,96621016,96665678,96733646,96906403,97004078,97259416,97426380,97605099,97684696,97818064,97997678,98068335,98181796,98466082,98575803,98665147,98895806,99326427,99520046,99568435,99735415,99802171,99843175,99909344,...,2944429272114836242641929425755196803449589163579686777274630305192150924467846355094591103645388809806716450065775754345423960193723413245717662364109167176424377661460724666993928874581821896689473810424936398777735520717276372107286307045199651316078115148697804565326964351734865560423869166491869519607726684032834547366570412093274128171383778056951936056283119369983201496328714202379219265490038979956695935304428692501208330433040528721723144932916129015420251971003595869134289468189086465341379398609246740679897726523970273077402409345484500181450567254515387393824648006450760292601295634988918729698862934508761920340650872359132543673927737998465158890238360645159440706161433775271663761674613340373318937085032830760127779770488664845596580055080905615351248541447968346865972539651673954735745515877186705410770813490137295755788133966272317217611805910705054740642066564496057595282605982444154463806977420907091168565566978814279131539562021096313753877913430554805070654143890615744012993176047413527930760702425571485009599272697457328665245724939673226985871501320439725580605742196103159301246091740575868597320834604632265977847258625308946389692371864612133604357982800670324057611556902537595494124709648448242768162339586940783249065007728377474516009471352615343434063418341535966387485512663675007365509497902822972924077627734860985165044885850200821523728753754634007162667924163876235707228162480430535670700031678204267839524657205395093633565909065853418719212596669714619521163377687761732546937109796816750803562118955477597647852167265636122079439721794337524730403405488043682424255668270121604071986049974765483968156805149255103133630602419112358449378602529017756190625638494706468003088725589378565918624203275854091208765127105095280709755815941014283666020601681633729195975178184939425766711278382467561873352323703155232100430543659862787138941638112325722042653740135169773390951596231673082489024291611086468873507868770872177512067633130059994651009628516894410398022612836635109182370009468635083963169652263183388871827139663608140368347426528486730961306632110527835406566555079622156470311593494443352517721929427683896058440747969503889922535886657092789696968549842180432600741654083682769167859199689359622818246832064327691304086944523157124009052756447359490078533785680710279483112392338148690581245089894759807526871743276900729}
15019   286410820958172976358942710269051238335193844049074895942221960: {30034,120104,135117,2110629,2322365,2647389,2786838,3041549,4345070,4479917,4505669,4839509,5007245,5214084,6008694,6115269,6384077,6436670,6645549,7200089,7581398,7633829,7703517,7724004,8592206,8660174,8673749,8816741,9120110,9297029,9453245,10029437,10333317,10905470,10944132,11098094,11343894,11379189,11464349,11640117,11900829,12103565,12184766,12219869,12274580,12349526,12391070,12941517,12973301,13011869,13086564,13281470,13978749,14302265,14373677,14524278,14729496,14803204,14849366,14869284,15051629,15270429,15777326,15785589,15854420,15937764,16101917,16495838,16570683,16813317,17069709,17148797,17162718,17314301,17642180,18277454,18526889,18638909,18790877,18997637,19025304,19298104,19401206,19815677,20041589,20139221,20383149,20410745,20602478,20634509,20844365,20889669,21109049,21170616,21213380,21403467,21710367,21867134,22020086,22734701,23005589,23303006,23567054,23697149,23767949,23816943,24104549,24300365,24492894,24565229,24661029,24918677,25013238,25051576,25055717,25456056,25456814,25529476,25647677,25658517,25845675,26409401,26481689,26489944,26702486,26844110,26864669,26892686,26934494,27249398,27288086,27305141,27568720,27890229,27963677,28183023,28308110,28638063,28975877,28995389,29153429,29160438,29275769,29477870,29518868,29520557,29573078,29801187,30171509,30718265,30839261,30931076,30983486,31014810,31015768,31452317,31674404,31962389,32084846,32205509,32212932,32315414,32576909,33022948,33029517,33082464,33262745,33493238,33667220,33685565,33853070,33969732,34009517,34343837,34435070,34480389,34502429,34702934,34865732,34892739,35373444,35543966,35598110,35683509,35723006,36038606,36402789,36470680,36642117,36822989,36861918,37008941,37165817,37166486,37217772,37228301,37321709,38122517,38222429,38821349,38982980,39147317,39220349,39260469,39915294,39948110,40400664,40422678,40623684,40854254,41029515,41322084,41383317,41394110,41443454,41538975,41571926,41650745,41700116,41847519,42027315,42043181,42717732,42788829,42801269,42855917,42999677,43432349,43532246,43612829,43725245,43749758,43764816,43930997,43954149,44139065,44276669,44308240,44467469,44777237,44815166,44829136,44885357,45324926,45450747,45463286,45604217,45771509,45881069,46007870,46038117,46268589,46611197,46779576,46956077,46980374,47153309,47175640,47783396,47937732,48257465,48260056,48729149,48736349,48738518,49235418,49245069,49384888,49423766,49485965,49575620,49672932,49818475,49846770,49980894,50276141,50315348,50380149,50406221,50432778,50605109,51087038,51535289,51674189,51863126,51960189,52169294,52339865,52470294,52604270,52627023,52956254,52966878,53044229,53072595,53081294,53094980,53169888,53174667,53226998,53752989,54165917,54199029,54292563,54298454,54603470,55186046,55209444,55431737,55459070,55514606,55557999,55974549,56027189,56029070,56041817,56051128,56395172,56610768,56670484,56703869,56943509,56972549,57174686,57195854,57536366,57870148,57908958,58363220,58388726,58611909,58663709,59383158,59490744,59782170,59816124,59827119,59853269,59864381,59935268,60369134,60546806,60569517,60627077,60859517,60988301,61144670,61303684,61428110,62060309,62167289,62331869,62404195,62724117,62807838,62895998,62938389,63057519,63072197,63125124,63303175,63687114,63713976,63767648,63975245,63999446,64118309,64264889,64268621,64475597,64674869,64855358,65069229,65284996,65373509,65387870,65524164,65929814,66140475,66226526,66449561,66470414,66498809,66550884,66709838,66887704,66927087,67080110,67114820,67234884,67242617,67361870,67581461,67725869,67865717,68412269,68576836,69270677,69362104,69613070,69681629,69842669,70035864,70087229,70135076,70549840,70553558,70605380,70920669,70955417,70985789,71169250,71678223,71701901,71738604,71936669,71980829,71982797,72067229,72182477,72434894,72525398,72773189,72842564,73147877,73273814,73373604,73375565,73561358,73640789,73713732,73806326,73812795,73820270,74007926,74038052,74090180,74390709,74885034,74989915,74996589,75068475,75143236,75198117,75235166,75248667,75290141,75777470,75830420,75915077,75963810,76018468,76078265,76337549,76441529,76566435,76670069,76728317,76770294,77201517,77329157,77400669,77487149,77569220,77644886,77777789,78032367,78429974,78465444,78733648,78790347,79133309,79231934,79306580,79368570,79625966,80073040,80166117,80496132,80537784,80723801,80834244,81028064,81338349,81347870,81447428,81670864,82201646,82387864,82671640,82686509,82792804,82818809,82860797,83202315,83238029,83400221,83535684,83776766,83868317,84118168,84543389,84649695,84659808,84726456,84808389,84969209,85101989,85403100,85474109,85504670,85590806,85737989,86241620,86435609,86610110,86853014,86894517,86936249,87011837,87208046,87212414,87213566,87420676,87534317,87613037,87872375,88050678,88435709,88575354,88581965,88584324,88749136,88834207,88908216,89148850,89327165,89482718,89511789,89618276,89987898,90082170,90200606,90293008,90432701,90442265,90605007,90678797,90813245,90931288,90932964,90996504,91096640,91156572,91293918,91427780,91497374,91530446,91581749,91593557,91665398,91793957,91879722,91919789,92253341,92269029,92392670,92685677,92686347,92762489,92895675,93005595,93083064,93177309,93264280,93899246,94065038,94117526,94135865,94632939,94762948,94773016,94835117,94839998,94996589,95082134,95156517,95167896,95242284,95244677,95317263,95402777,95498189,95506781,95766917,95903896,96087648,96155477,96225069,96278078,96502766,96533549,96607229,96699965,96932477,97617444,97719736,97974701,98072126,98121795,98157245,98539454,98707286,98958110,99050375,99088720,99205968,99266909,99277046,99384069,99557517,99647716,99803606,99842778,...,3925905696153114990189239234340262404599452218106249036366173740256201232623795140126121471527185079742288600087701005793898613591631217660956883152145556235232503548614299555991905166109095862252631747233248531703647360956368496143048409393599535088104153531597072753769285802313154080565158888655826026143635578710446063155427216124365504228511704075935914741710825826644268661771618936505625687320051973275594580405904923334944440577387371628964193243888172020560335961338127825512385957585448620455172531478995654239863635365293697436536545793979333575267423006020516525099530675267680390135060846651891639598483912678349227120867829812176724898570317331286878520317814193545920941548578367028885015566151120497758582780043774346837039693984886460795440073441207487134998055263957795821296719535565272980994021169582273881027751320183061007717511955029756290149074547606739654189422085994743460376807976592205951742636561209454891420755971752372175386082694795085005170551240739740094205525187487658683990901396551370574347603234095313346132363596609771553660966586230969314495335093919634107474322928137545734994788987434491463094446139509687970463011500411928519589829152816178139143977067560432076815409203383460658832946197930990357549786115921044332086676971169966021345961803487124578751224455381288516647350218233343154012663870430630565436836979814646886726514466934428698305005006178676216890565551834980942970883307240714227600042237605690452699542940526791511421212087804558292283462226286159361551170250348976729249479729089001071416158607303463530469556354181496105919629059116699640537873984058243232340891026828805429314733299687311957542406865673470844840803225483144599171470038690341587500851326275290670784967452504754558165604367805454945020169473460374279674421254685711554694135575511638927966904246585901022281704509956749164469764937540309467240724879817049518588850816434296056871653513559697854602128308897443318699055481448625164677158361162903349423510840079992868012838022525880530696817115513478909826679291513445284226203017577851829102852884810853824463235371315641281742176147370447208755406772829541960415457992591136690295905903578528077920997292671853230047848876123719595958066456240576800988872111577025557145599585812830424329109419103588405449259364209498678737008596479320104711714240947039310816523117531587441660119859679743369162324369200972}
15020   287707361817107560161631254319138509925599391842096372098743604: {45051,105091,150130,180156,554371,1091131,1447531,1824754,2003434,2122474,2245219,2360362,2657362,2814172,2861611,2949379,3299731,3529852,3561739,3715784,3782314,3900394,4136362,4170571,4180257,4430962,4489834,4516891,4948171,4960234,5377651,5663914,5839474,6517605,6655291,6739891,6952112,7064362,7077571,7413034,7821126,7833139,7992874,8011592,8153692,8166514,8250379,8282194,8665819,8831491,8860732,8914219,9013041,9079459,9655005,9655531,10238962,10271356,10298672,10391011,10553659,10959019,11096362,11372097,11381362,11586006,11609074,11684131,12403411,12888309,12990261,13195771,13308754,13421554,13590634,13680165,13777756,13902739,14137099,14292979,14489962,14592176,15125192,15145171,15172252,15343225,15520156,15529651,15867772,16109554,16358205,16416198,16442962,16498474,16647141,16747891,16885841,16941994,16974259,17015841,17255356,17273962,17448752,17494954,17724139,17770834,17798731,18156394,18170611,18277149,18411870,18504005,18524289,18586605,18638332,19348531,19365704,19417714,19421539,19629846,19639328,19712851,19799914,19818025,19825712,19922205,20075371,20360572,20795011,21047452,21223339,21250352,21578299,21719779,21786417,21914962,21920129,22052725,22094244,22204806,22274049,22303926,22417756,22562611,22668274,22759612,22883624,22910731,23043754,23178701,23257051,23311474,23665989,23781630,23807419,23906646,24122630,24325162,24488899,24624331,24743757,25367072,25702954,25744077,25896571,26161099,26227051,26387794,26463270,26516725,26621251,26650474,27138797,27174634,27177532,27272491,27416181,27466459,27852892,27853397,27980539,28227488,28270162,28426579,28529962,28537956,28581874,28616659,28947156,29057659,29101809,29358634,30113971,30285994,30542674,30664771,30903717,30968251,31028731,31054834,31314470,31330051,31755924,31820070,31911845,32657192,32751331,32800701,32834794,32881372,33030129,33042211,33112430,33350984,33446419,33561259,33893362,33904051,33941408,34094194,34211356,34460900,34645162,34749691,34954509,35350581,35393362,35592274,35797579,35840554,36187474,36335914,36499579,36606499,36659851,36739341,36766339,36898585,37186972,37519857,37577364,37659859,37711771,38105962,38184084,38185221,38294214,38663845,38684419,38769710,38788714,38835619,38880584,38936059,39036211,39225494,39371434,39593005,39734916,39778171,40053729,40070419,40096594,40266165,40339029,40401741,40456051,40551739,40874097,40932129,40978771,41278685,41297194,41353080,41399971,41726962,41815339,41952499,42084025,42134371,42155434,42227549,42405019,42462165,42806131,42866674,42950576,42961234,42982531,43102954,43211777,43288459,43385962,43418491,43433074,43582165,43740657,43809394,44039356,44109952,44216805,44268811,44278302,44359617,44846899,44968939,45130651,45170899,45292976,45490162,45588350,45648259,45768274,45973852,46076731,46396614,46458691,46475229,46496491,46522215,46523652,46645162,46870531,47058514,47136518,47164592,47333362,47382091,47454019,47511606,47578012,47607634,47703499,47738851,47879539,48053779,48127269,48226219,48290794,48294691,48319398,48473121,48537052,48653674,48728725,48856156,49044737,49105834,49149224,49196074,49382899,49534422,49623696,49634899,49851619,50155099,50239857,50500830,50654491,50683219,50779605,50954598,51105499,51215371,51431659,51617131,51652605,51977491,52027819,52054401,52125145,52298598,52314154,52347292,52446034,52526221,52585891,52679059,52839331,52928362,53060166,53062171,53127619,53220392,53256571,53277811,53315949,53397165,53403739,53547379,53584509,53607859,53707219,53867552,53896904,53975851,54057909,54141091,54164912,54233962,54352339,54386539,54493354,54503971,54681379,54706020,54728251,54881362,54938419,55038211,55096112,55107331,55120939,55161331,55177756,55214179,55292877,55341259,55385300,55484251,55529611,55729339,55748851,55749729,55758499,55796371,55796692,55826658,55936339,55952539,56036420,56098699,56105251,56166811,56194891,56205619,56354731,56364379,56368771,56374819,56391451,56397499,56956976,57051772,57182194,58353088,58440274,58474470,58526741,58605532,58969550,59477674,59729245,59872941,59922165,59972074,60095314,60177394,60325070,60545962,60600996,60634017,60691841,60913234,60935526,61281381,61384156,61400914,61691452,61731110,61969525,61983126,62091165,62128114,62165181,62357889,62372768,62550174,62894185,63009874,63209194,63368362,63916976,64076598,64381669,64750162,64906834,65298369,65624637,65647224,65660092,65957674,66230576,66305362,66368725,66462360,66641192,67073362,67173532,67222749,67243704,67302514,67454962,67797034,67986514,67987389,68194929,68251114,68891942,69011805,69280252,69487954,69562354,69960392,70063910,70169364,70249517,70450162,70470561,70493965,70597234,70622504,70763460,70838105,70893184,70899556,71462006,71546962,71670652,71675094,71906598,72089381,72265372,72306154,72337685,72390084,72772594,72954025,72986962,73107777,73520362,73542697,73603397,73612592,73853127,74050162,74077332,74135649,74201677,74261074,74363430,74509398,74632732,74770155,74919085,74971341,75410794,75473022,75479914,75481024,75649167,75927634,76133362,76629605,76630557,77211944,77321962,77355634,77655494,77657962,77794689,77825362,78149212,78253941,78358354,78705441,78906405,79006382,79177544,79320992,79434381,79450317,79564877,79621941,79642470,79709560,79754832,79769492,79840497,80094634,80126962,80481514,80609962,80759356,81057514,81089362,81375274,81447681,81606245,81754474,81905205,81911794,82318954,82779069,82814166,82926389,83188605,83271909,83609630,83632156,83707474,83743784,83768434,83893525,83915909,83917852,84041962,84043605,84076692,84166832,84344362,84592758,84675154,84765034,84916152,84944362,84951968,85005726,85026337,85504769,85567474,85721045,85762029,85793781,85949674,86304549,86702630,86758972,86805222,86863437,87165994,87365552,87394474,87544830,87583089,87668845,88187300,88256725,88734512,89074737,89236116,89240362,89646512,89673255,89724186,89894314,89902902,89921362,90298354,90325162,90553701,90776609,90820209,91053205,91121962,91253362,91580342,91717005,91955526,92033362,92142165,92519914,92547565,92592017,92612725,93326314,93381152,93433697,93526121,93698674,93929045,94067434,94211757,94343997,94560892,94687686,94788025,94866034,94889962,95023085,95388754,95530671,95570964,95651472,95740714,95999169,96410962,96456269,96961525,97283037,97313362,97557034,97645162,97831472,97927494,98081805,98284976,98286246,98417060,98894721,98915314,99045254,99133225,99187612,99339789,99353962,99683434,99705621,99744754,99815597,99826326,99846712,99995452,...,5888858544229672485283858851510393606899178327159373554549260610384301848935692710189182207290777619613432900131551508690847920387446826491435324728218334352848755322921449333987857749163643793378947620849872797555471041434552744214572614090399302632156230297395609130653928703469731120847738332983739039215453368065669094733140824186548256342767556113903872112566238739966402992657428404758438530980077959913391870608857385002416660866081057443446289865832258030840503942007191738268578936378172930682758797218493481359795453047940546154804818690969000362901134509030774787649296012901520585202591269977837459397725869017523840681301744718265087347855475996930317780476721290318881412322867550543327523349226680746637874170065661520255559540977329691193160110161811230702497082895936693731945079303347909471491031754373410821541626980274591511576267932544634435223611821410109481284133128992115190565211964888308927613954841814182337131133957628558263079124042192627507755826861109610141308287781231488025986352094827055861521404851142970019198545394914657330491449879346453971743002640879451161211484392206318602492183481151737194641669209264531955694517250617892779384743729224267208715965601340648115223113805075190988249419296896485536324679173881566498130015456754949032018942705230686868126836683071932774971025327350014731018995805645945848155255469721970330089771700401643047457507509268014325335848327752471414456324960861071341400063356408535679049314410790187267131818131706837438425193339429239042326755375523465093874219593633501607124237910955195295704334531272244158879443588675049460806810976087364848511336540243208143972099949530967936313610298510206267261204838224716898757205058035512381251276989412936006177451178757131837248406551708182417530254210190561419511631882028567332041203363267458391950356369878851533422556764935123746704647406310464200861087319725574277883276224651444085307480270339546781903192463346164978048583222172937747015737541744355024135266260119989302019257033788820796045225673270218364740018937270167926339304526366777743654279327216280736694853056973461922613264221055670813133110159244312940623186988886705035443858855367792116881495939007779845071773314185579393937099684360865201483308167365538335718399378719245636493664128655382608173889046314248018105512894718980157067571361420558966224784676297381162490179789519615053743486553801458}
15021   289009724810229779729981260618971405270700573685678849811111888: {60068,225195,240208,270234,2737131,3005151,3183711,3251311,3517715,3540543,3986043,4221258,4412315,4644730,5294778,5408863,5573676,5673471,5850591,6083098,6204543,6646443,6734751,6751019,7010143,7440351,8495871,8690140,8719931,8759211,8959834,9011338,9679018,9703199,9984323,10014490,10192115,10428168,10596543,11075915,11119551,11667359,11731689,11852971,11950643,11989311,12017388,12230538,12249771,12423291,12768154,12839195,12873340,13234543,13291098,13470851,14104451,14400178,15162796,15267658,15332083,15358443,15407034,15448008,16162031,16644543,16944991,17072043,17184412,17222195,17320348,17347498,17379009,17413611,17633482,17776739,18240220,18516971,18594058,18906490,18965315,19400195,19834715,19924351,19963131,20023171,20058874,20132331,20272223,20385951,20462443,20666634,20706523,21440639,21569195,21734943,21810940,21888264,22196188,22399423,22687788,22758378,22928698,22961243,23280234,23297915,23801658,24164331,24207130,24369532,24439738,24549160,24624297,24664443,24699052,24747711,24782140,25112459,25412991,25450715,25883034,25910943,25946602,26023738,26173128,26242431,26309315,26562940,26656251,26868283,27097643,27234591,27266591,27617805,27957498,28022195,28230739,28449515,28575043,28604530,28605611,28747354,29048556,29126571,29182111,29202239,29444769,29458992,29606408,29698732,29699871,29738568,30103258,30310891,30540858,30995071,31554652,31571178,31708840,31875528,32099771,32203834,32872443,32991676,33141366,33307209,33455889,33626634,33681211,33971915,34002411,34020511,34139418,34297594,34325436,34565631,34605731,34625243,34628602,34816115,34887931,34967211,35284360,35672445,35859969,36183945,36487743,36554908,36646751,36913151,37053778,37277818,37581754,37995274,38050608,38554431,38596208,38802412,38832959,39581691,39631354,39694905,39975711,40083178,40278442,40588171,40749599,40761951,40766298,40821490,41101715,41204956,41269018,41688730,41706731,41779338,42218098,42341232,42405243,42426760,42607519,42663071,42764195,42794943,42806934,42872811,43005571,43076125,43420734,43615739,43617971,43618619,43734268,43997083,44037951,44040172,44794271,45428991,45469402,45814011,46011178,46265011,46483715,46567843,46582251,46606012,46971705,47134108,47159791,47394298,47432891,47534191,47535898,47633886,47730105,48097811,48209098,48600730,48758483,48985788,49130458,49252191,49322058,49668645,49837354,50026476,50103152,50111434,50285279,50694491,50840043,50912112,50913628,50969419,51058952,51141291,51295354,51317034,51691350,51918451,51967743,52818802,52963378,52979888,53046331,53090043,53388411,53404972,53429443,53688220,53729338,53760831,53785372,53868988,54281211,54337259,54498796,54503871,54576172,54610282,55049195,55137440,55780458,55927354,56057411,56366046,56616220,56913131,56965871,57158943,57276126,57441321,57467315,57951754,57990778,58089791,58154565,58183071,58306858,58311043,58320876,58507931,58551538,58838241,58955740,59037736,59041114,59057151,59146156,59472515,59602374,60144891,60343018,60671315,61070195,61215343,61436530,61613939,61623551,61678522,61794691,61862152,61945791,61966972,62029620,62031536,62378399,62563259,62590443,62618623,62904634,62951051,63233151,63348808,63924778,63992959,64136603,64169692,64300011,64411018,64425864,64429643,64441851,64630828,64654431,65078943,65149611,65153818,65434115,65714091,65907011,66045896,66059034,66164928,66291811,66417453,66525490,66827743,66986476,67249919,67334440,67371130,67560451,67706140,67939464,68019034,68235243,68382525,68652411,68687674,68870140,68878811,68960778,68972195,69004858,69231625,69280351,69405868,69594921,69691003,69731464,69745865,69785478,69967743,70045525,70184243,70331771,70587771,70704777,70746888,71000043,71087932,71196220,71267409,71314715,71367018,71411451,71446012,71916779,72077083,72077212,72436191,72479097,72805578,72862463,72941360,72980511,73256915,73275811,73284234,73645978,73658751,73723836,73777979,73794111,74017882,74301633,74331634,74332972,74435544,74456602,74643418,74707391,74766143,74920831,75005039,75751245,75849919,76245034,76431897,76444858,76730195,76894283,77114315,77119391,77642698,77965960,78294634,78417119,78440698,78447897,78471231,78520938,78669051,79392543,79583051,79590249,79830588,79896220,80801328,80845356,81101311,81130223,81247368,81350943,81708508,81740031,82059030,82075115,82322043,82644168,82766634,82788220,82886908,83036459,83077950,83143852,83301490,83373131,83400232,83695038,83739987,83966915,84054630,84086362,85134431,85435464,85577658,85602538,85711834,85749523,85773291,85999354,86130043,86447491,86461643,86600315,86864698,87064492,87134051,87225658,87365873,87450490,87499516,87529632,87611231,87660411,87711705,87861994,87908298,88278130,88454325,88530451,88553338,88616480,88624445,88934938,89216511,89385451,89470271,89554474,89565343,89588315,89630332,89658272,89770714,89958111,90142971,90266091,90331715,90487605,90602579,90649852,90818943,90901494,90926572,91208434,91369851,91388351,91403289,91543018,91762138,92015740,92076234,92101371,92537178,92596665,92974689,93129311,93192171,93222394,93290915,93559152,93825261,93912154,93960748,94306618,94351280,94514811,94813791,94954079,95052543,95115971,95197331,95566792,95875464,96114897,96271711,96514930,96520112,96669439,97125243,97164043,97360251,97458298,97472698,97477036,97686515,98470836,98490138,98744299,98769776,98847532,98936511,98971930,99151240,99345864,99458043,99636950,99693540,99711865,99726563,99961788,...,8833287816344508727925788277265590410348767490739060331823890915576452773403539065283773310936166429420149350197327263036271880581170239737152987092327501529273132984382174000981786623745465690068421431274809196333206562151829116321858921135598953948234345446093413695980893055204596681271607499475608558823180052098503642099711236279822384514151334170855808168849358109949604488986142607137657796470116939870087805913286077503624991299121586165169434798748387046260755913010787607402868404567259396024138195827740222039693179571910819232207228036453500544351701763546162181473944019352280877803886904966756189096588803526285761021952617077397631021783213995395476670715081935478322118484301325814991285023840021119956811255098492280383339311465994536789740165242716846053745624343905040597917618955021864207236547631560116232312440470411887267364401898816951652835417732115164221926199693488172785847817947332463391420932262721273505696700936442837394618686063288941261633740291664415211962431671847232038979528142240583792282107276714455028797818092371985995737174819019680957614503961319176741817226588309477903738275221727605791962503813896797933541775875926839169077115593836400813073948402010972172834670707612786482374128945344728304487018760822349747195023185132423548028414057846030302190255024607899162456537991025022096528493708468918772232883204582955495134657550602464571186261263902021488003772491628707121684487441291607012100095034612803518573971616185280900697727197560256157637790009143858563490133063285197640811329390450252410686356866432792943556501796908366238319165383012574191210216464131047272767004810364812215958149924296451904470415447765309400891807257337075348135807587053268571876915484119404009266176768135697755872609827562273626295381315285842129267447823042850998061805044901187587925534554818277300133835147402685620056971109465696301291630979588361416824914336977166127961220405509320172854788695019247467072874833259406620523606312616532536202899390179983953028885550683231194067838509905327547110028405905251889508956789550166615481418990824421105042279585460192883919896331583506219699665238866469410934780483330057553165788283051688175322243908511669767607659971278369090905649526541297802224962251048307503577599068078868454740496192983073912260833569471372027158269342078470235601357042130838449337177014446071743735269684279422580615229830702187}
15022   290317935871780062900483196926159829920210198075887952974434855: {75085,90102,210182,300260,360312,405351,793357,1061521,1108742,1239937,1950721,2182262,2656897,2832721,2895062,3533137,3649508,3707521,3881617,3968557,4006868,4142221,4244948,4490438,4720724,5178157,5314724,5606737,5628344,5692237,5723222,5863021,5898758,6288721,6331887,6599462,6712621,6966097,6967095,7059704,7123478,7303057,7431568,7564628,7800788,7942167,8272724,8341142,8360514,8639377,8861924,8979668,9033782,9124647,9382957,9896342,9920468,10039021,10283857,10755302,10862675,11014477,11327828,11678948,12219217,13035210,13250221,13310582,13439751,13479782,13517007,13643521,13904224,14128724,14155142,14191117,14518527,14826068,15021735,15198721,15429517,15642252,15666278,15985748,16023184,16091675,16118017,16307384,16333028,16346221,16497997,16500758,16564388,16876177,17327617,17331638,17662982,17721464,17828438,17851021,18026082,18158918,18345807,18740077,18953495,19152231,19180717,19310010,19311062,19936647,20270977,20477924,20542712,20558977,20597344,20782022,20917357,20988817,21107318,21131521,21480515,21487021,21600267,21650435,21918038,22192724,22744194,22751917,22762724,22800275,22901487,23110551,23172012,23218148,23368262,24605521,24806822,24943021,25077517,25745677,25776618,25812097,25905607,25980522,26021247,26391542,26450223,26472337,26617508,26734417,26799757,26843108,26930221,27125377,27181268,27255121,27263675,27360330,27449197,27555512,27745235,27805478,27891087,28274198,28346317,28359735,28585958,28979924,29184352,29354317,29603437,29789521,30088311,30098221,30250384,30290342,30344504,30405121,30461915,30686450,30820031,30873815,30977675,30999951,31040312,31059302,31614721,31734097,31735544,31793677,32219108,32385517,32503021,32716410,32832396,32885924,32917651,32996948,33201997,33203675,33259777,33294282,33495782,33662221,33771682,33776557,33883988,33948518,34031682,34137567,34393047,34400257,34510712,34547924,34792621,34897504,34920351,34959697,34989908,35181457,35236717,35448278,35541668,35597462,35702487,36165121,36310695,36312788,36341222,36434221,36554298,36659607,36807937,36823740,36861037,37008010,37048578,37123415,37125457,37173210,37276664,37752721,37907917,38011021,38697062,38731408,38824551,38835428,38843078,38875777,38919903,39035607,39259692,39278656,39424237,39425702,39443315,39599828,39636050,39651424,39844410,40150742,40590637,40638337,40721144,41239595,41298577,41590022,41669521,41899021,41936247,42094904,42352621,42446678,42487297,42500704,42906795,43019521,43107217,43121031,43156598,43439558,43572834,43584397,43829924,43840258,44105450,44188488,44221057,44409612,44429677,44548098,44595277,44607852,44676583,44835512,45004237,45044737,45125222,45154887,45336548,45519224,45693635,45722221,45767248,45811287,45821462,45995137,46033837,46087508,46357402,46514102,46622948,46680721,46792717,46867021,47124817,47306797,47331978,47356767,47486977,47563260,47614838,47813292,48245260,48305751,48394897,48462721,48503015,48631021,48650324,48697837,48797521,48977798,49060177,49248662,49445521,49487514,49540237,49696657,49712049,49758721,49820497,50439951,50510221,50597377,50734144,50939521,51023437,51209127,51216721,51405908,51406477,51433297,51446391,51488154,51506195,51539857,51658019,51671437,51793142,51929197,51942903,51954577,52253521,52302337,52322198,52375021,52454102,52494721,52728721,52775588,52926540,52955521,53033450,53175121,53242502,53282221,53300948,53429137,53491021,53531917,53652877,53692621,54074221,54129383,54165121,54277594,54289357,54349268,54355064,54393037,54544982,54624877,54667835,54704257,54832362,54872557,54932918,55003777,55017997,55050215,55074157,55088017,55287277,55430207,55435021,55580667,55583377,55678957,55689217,55705784,55706794,55879297,55896721,55913857,55916727,55961078,56040577,56055121,56136337,56148719,56167117,56248657,56263021,56313997,56335597,56372631,56382721,56388877,56409037,56414221,56414977,56454976,56540324,56853158,56992911,57059924,57075912,57163748,57233318,57790159,57894312,58115318,58203618,58257515,58717268,58917635,59447031,60124767,60227942,60417663,60571988,61015031,61085348,61149447,61232235,61329542,61807434,61903527,61936502,62057462,62076443,62109668,62533095,62628940,62660102,62669007,63327147,63511848,63640140,63642035,63823690,64210401,65131101,65314384,65502662,65601402,65669588,65762744,66060258,66084422,66224860,66701968,66756215,66892838,67110275,67122518,67231715,67336235,67786724,67808102,67882816,68123495,68188388,68204103,68220215,68422712,68921800,69016767,69290324,69499382,69909018,70701162,70770275,70786724,71091447,71184548,71303847,71450829,71595158,71681108,71955983,72313647,72374948,72671828,72901095,72975203,72999158,73212998,73319702,73478682,73532678,73694675,73695687,73797170,73932695,73983087,74373944,74756031,75039714,75154728,75167151,75319718,75423542,76087427,76211924,76368168,76370442,76588428,76943031,76975551,77327690,77368838,77458715,77537025,77539420,77577428,77671238,77761168,77821271,77872118,78072422,78450988,78742868,79186010,79228203,79445067,79469832,79556342,80107458,80140838,80193188,80212115,80532330,80594007,80678058,80788535,80803482,80912102,81103478,81748194,81864258,81915423,81957542,82194779,82557370,82594388,82706160,82799942,83453924,83620943,83630678,83670687,83733095,83891031,83904998,84168050,84268742,84310868,84455098,84549069,84632675,84810038,84924330,85612262,85733348,85901152,85914189,85922468,85965062,86087675,86205908,86423554,86576918,86757335,86771924,86836982,86866148,86927631,86986167,87164330,87460287,87481314,87618788,87692891,87827307,88051859,88078712,88219904,88433610,88537622,88556604,88561671,88719234,88859915,88995275,89307515,89403561,89693798,89937878,90096515,90261302,90341798,90514527,90585952,90980324,91176700,91296518,91536548,91947704,92153462,92154795,92517783,92793228,92916215,92917382,92950458,92992982,93044430,93047304,93290324,93741062,94117028,94273036,94329184,94356951,94666724,94764182,94908038,95023212,95156024,95215268,95406998,95477702,95759078,95855111,95887167,96107558,96254538,96452438,96581588,96589382,96616527,96638796,96946242,97074104,97307348,97457450,97712312,97730727,98089474,98211668,98298448,98392148,98691551,98765798,99068844,99088551,99173347,99247392,99269798,99703238,99788235,99870275,...,11777717088459344970567717703020787213798356654318747109098521220768603697871385420378364414581555239226865800263103017381695840774893652982870649456436668705697510645842898667975715498327287586757895241699745595110942082869105488429145228180798605264312460594791218261307857406939462241695476665967478078430906736131338189466281648373096512685535112227807744225132477479932805985314856809516877061960155919826783741217714770004833321732162114886892579731664516061681007884014383476537157872756345861365517594436986962719590906095881092309609637381938000725802269018061549575298592025803041170405182539955674918795451738035047681362603489436530174695710951993860635560953442580637762824645735101086655046698453361493275748340131323040511119081954659382386320220323622461404994165791873387463890158606695818942982063508746821643083253960549183023152535865089268870447223642820218962568266257984230381130423929776617855227909683628364674262267915257116526158248084385255015511653722219220282616575562462976051972704189654111723042809702285940038397090789829314660982899758692907943486005281758902322422968784412637204984366962303474389283338418529063911389034501235785558769487458448534417431931202681296230446227610150381976498838593792971072649358347763132996260030913509898064037885410461373736253673366143865549942050654700029462037991611291891696310510939443940660179543400803286094915015018536028650671696655504942828912649921722142682800126712817071358098628821580374534263636263413674876850386678858478084653510751046930187748439187267003214248475821910390591408669062544488317758887177350098921613621952174729697022673080486416287944199899061935872627220597020412534522409676449433797514410116071024762502553978825872012354902357514263674496813103416364835060508420381122839023263764057134664082406726534916783900712739757703066845113529870247493409294812620928401722174639451148555766552449302888170614960540679093563806384926692329956097166444345875494031475083488710048270532520239978604038514067577641592090451346540436729480037874540335852678609052733555487308558654432561473389706113946923845226528442111341626266220318488625881246373977773410070887717710735584233762991878015559690143546628371158787874199368721730402966616334731076671436798757438491272987328257310765216347778092628496036211025789437960314135142722841117932449569352594762324980359579039230107486973107602916}
15023   291632021050591408106391957270250762416521390501023302865337856: {120136,135153,315273,375325,450390,480416,540468,1663113,3273393,4342593,4561885,4779577,4924801,5008585,5306185,5474262,5858353,5900905,6010302,6177241,6367422,6502622,6643405,6735657,7035430,7080337,7081086,7972086,7978477,8442516,8584833,8824630,8848137,9289460,9415501,9455785,9750985,9899193,10032121,10305373,10340905,10589556,10672897,10685217,10817726,11077405,11147352,11224585,11346942,11467417,11701182,11996017,12166196,12400585,12409086,12511713,12540771,13292886,13356601,13469502,13502038,13550673,13630177,13788697,14020286,14159785,14268961,14598685,14609617,14792473,14844513,14880702,14991841,15055657,15506281,16048861,16132953,16991742,17015521,17380280,17439862,17518422,17660905,17919668,17974873,18022676,18220393,18532585,18643897,19002721,19358036,19406398,19552815,19965873,19968646,19982185,20028980,20219673,20372761,20384230,20416285,20705485,20856336,20959417,21056353,21193086,21232713,21883693,22151830,22239102,23334718,23463378,23499417,23705942,23901286,23978622,24034776,24111073,24379057,24461076,24499542,24544777,24751137,24846582,25338937,25536308,25597405,25678390,25746680,25978921,25997457,26337457,26469086,26494473,26551441,26582196,26742657,26941702,27039123,27160273,27238377,27604141,27740905,27768601,28208902,28453405,28800356,28965015,28966593,29022685,29528521,30196873,30285601,30325592,30535316,30664166,30716886,30726457,30814068,30896016,31138921,31173033,31660977,31970977,32123761,32224153,32324062,32425657,32440717,32617081,32877057,32978161,33271885,33289086,33553885,33889982,33976585,34116291,34144086,34368824,34444390,34511737,34629901,34640696,34694996,34758018,34827222,35052393,35130721,35266964,35290993,35553478,35631001,36098737,36224905,36480440,36833041,37033942,37173193,37188116,37210233,37238377,37331737,37812980,37878577,37930630,37936093,38664927,38691313,38698801,38800390,38970783,39157921,39231073,39587313,39669430,39829321,39848702,39926262,40046342,40117748,40264662,40273885,40544446,40771902,40924886,41040495,41107405,41129953,41246185,41333268,41413046,41708217,41905261,42354985,42411297,42878937,42881278,43138390,43184905,43469886,43621880,43624633,43737385,43776528,43942921,44392376,44427085,44479417,44798846,44800297,45118561,45375576,45390985,45435513,45516756,45533521,45857396,45893497,45922486,46029675,46194361,46560468,46588953,46595830,46623721,47560681,47603316,48158617,48328662,48414260,48544285,48601453,48739064,48742561,48749497,48879476,49055821,49074615,49098320,49248594,49289773,49328886,49398104,49495422,49499785,49564280,49941423,50224918,50243673,50419993,50608657,50657523,50825982,50894377,50901430,50922777,51047523,51549277,51766068,51821886,51893204,52047476,52121137,52346256,52484862,52618630,53125880,53167393,53172417,53312502,53396193,53598073,53736566,53756377,54195286,54469182,54511833,54533182,54755161,54787405,54831447,55235610,55312561,55512015,55572867,55759815,55914996,56042353,56044390,56057053,56461478,56670685,56899030,56987857,57032161,57150086,57209060,57211222,57494708,57542401,57609385,57636493,57864697,58045593,58097112,58253142,58264617,58278685,58364222,58404478,58887841,58889538,58905961,58917984,58996633,59138553,59212816,59397464,59399742,59428057,59454075,59477136,59766615,59869873,59998321,60063817,60206516,60226113,60306575,60621782,60812905,61004977,61018057,61081716,61631977,61990142,62272321,62348617,62385033,62834017,63109304,63142356,63417680,63670017,63751056,64135537,64199542,64257385,64407668,64492921,64619497,64734897,64997497,65077201,65159337,65359251,65391217,65487913,65744886,65760387,65969485,65983352,66158175,66282732,66614418,66626185,66822147,66911778,67253268,67259137,67260973,67362422,67392301,67570921,67687833,67833361,67936585,67943830,68004822,68041022,68278836,68559817,68595188,68650872,68732193,68888077,69131262,69211462,69250486,69257204,69536103,69632230,69771153,69775862,69934422,70106137,70357057,70568720,70675405,70832353,70997967,71324905,71344890,71422257,71454685,71719938,71807161,71926657,72009601,72238753,72367890,72827833,72975486,73109816,73285453,73293502,73396585,73466697,73660777,73788121,73826302,73872993,73938397,74098057,74107556,74231271,74356957,74555636,74776201,75163508,75332377,75714985,75990548,76101216,76163641,76356685,76574377,76714081,77068873,77108862,77117857,77192416,77232231,77604824,77637085,77665918,77689713,77753437,77798857,78286175,78483297,78606097,78681153,79136353,79163382,79262708,79389810,79477177,79550175,79593757,79764721,79863753,79951422,80166356,80454241,80556884,81158953,81176342,81202297,81416391,81499198,81523902,81532596,81642980,81809137,81817473,82086985,82197337,82203430,82248543,82399377,82409912,82538036,82781075,83261521,83355217,83377460,83413462,83558676,83560191,83941617,84038701,84436196,84535261,84590257,84682464,84733405,84810486,84853520,84939841,84992557,85083841,85215038,85235485,85279737,85326142,85498273,85528390,85589886,85613868,85745622,85849977,86011142,86152250,86612905,86841468,86959981,87172977,87192157,87231478,87235942,87237238,87305427,87440113,87468536,87623017,87932653,87994166,88075902,88080344,88290553,88483405,88651921,88980685,89144113,89482657,89588542,89601385,90079153,90341913,90457177,90468685,90839785,90857982,90938804,91140697,91332721,91607761,91628022,91818721,91994313,92022356,92530022,92674777,92711151,92787853,92904753,92967430,93086193,93135686,93164502,93212024,93800233,93943410,93990153,94055137,94241761,94268216,94319582,94788596,94818013,94865782,95022217,95068382,95071796,95264905,95267772,95271121,95460210,95524057,95735535,95792953,96195622,96418196,96561073,96633601,96924275,96971785,97201460,97211161,97516966,97644211,97971576,98063735,98133997,98253993,98260916,98402103,98428585,98504382,98644116,99011617,99090387,99126633,99337290,99674708,99840601,99908233,...,17666575632689017455851576554531180820697534981478120663647781831152905546807078130567546621872332858840298700394654526072543761162340479474305974184655003058546265968764348001963573247490931380136842862549618392666413124303658232643717842271197907896468690892186827391961786110409193362543214998951217117646360104197007284199422472559644769028302668341711616337698716219899208977972285214275315592940233879740175611826572155007249982598243172330338869597496774092521511826021575214805736809134518792048276391655480444079386359143821638464414456072907001088703403527092324362947888038704561755607773809933512378193177607052571522043905234154795262043566427990790953341430163870956644236968602651629982570047680042239913622510196984560766678622931989073579480330485433692107491248687810081195835237910043728414473095263120232464624880940823774534728803797633903305670835464230328443852399386976345571695635894664926782841864525442547011393401872885674789237372126577882523267480583328830423924863343694464077959056284481167584564214553428910057595636184743971991474349638039361915229007922638353483634453176618955807476550443455211583925007627793595867083551751853678338154231187672801626147896804021944345669341415225572964748257890689456608974037521644699494390046370264847096056828115692060604380510049215798324913075982050044193056987416937837544465766409165910990269315101204929142372522527804042976007544983257414243368974882583214024200190069225607037147943232370561801395454395120512315275580018287717126980266126570395281622658780900504821372713732865585887113003593816732476638330766025148382420432928262094545534009620729624431916299848592903808940830895530618801783614514674150696271615174106537143753830968238808018532353536271395511745219655124547252590762630571684258534895646085701996123610089802375175851069109636554600267670294805371240113942218931392602583261959176722833649828673954332255922440811018640345709577390038494934145749666518813241047212625233065072405798780359967906057771101366462388135677019810655094220056811810503779017913579100333230962837981648842210084559170920385767839792663167012439399330477732938821869560966660115106331576566103376350644487817023339535215319942556738181811299053082595604449924502096615007155198136157736909480992385966147824521667138942744054316538684156940471202714084261676898674354028892143487470539368558845161230459661404374}
15024   292952006510591643086104024652543088319585400027138276228664373: {105119,150170,165143,180204,420364,600520,614303,675585,720624,810702,1002119,1091423,1507223,1586714,1891919,2039519,2123042,2217484,2334119,2479874,2569223,2686583,2862383,2920919,3125543,3358919,3562703,3795119,3901442,3998063,4084919,4171703,4316183,4364524,4518119,4575743,5313794,5379119,5665442,5790124,5806919,6289583,6317903,6713543,6741743,6798119,7066274,7079519,7135703,7299016,7415042,7556063,7763234,7937114,8013736,8141543,8211393,8284442,8335919,8474519,8489896,8557583,8668223,8833943,8889119,8980876,9015453,9441448,9551133,9712919,9753933,9794903,10040423,10356314,10553145,10610783,10621629,10629448,11016023,11213474,11256688,11384474,11446444,11611825,11726042,11740919,11797516,11958129,12459983,12577442,12663774,13198924,13199519,13236945,13252103,13409663,13425242,13593119,13906703,13932194,13934190,14119408,14193143,14246956,14606114,14814743,14863136,15129256,15200903,15207745,15226583,15354863,15534119,15601576,15610823,15884334,15967823,16226589,16500383,16545448,16682284,16721028,16803119,17020413,17278754,17551773,17723848,17853623,17878463,17959336,18067564,18175919,18249294,18613629,18765914,19402919,19475903,19645919,19792684,19840936,19936463,19939329,20078042,20129519,20204253,20253057,20418143,20567714,21030429,21087119,21277103,21510604,21561119,21631943,21725350,21796919,22028954,22149119,22321053,22399585,22528345,22569383,22615919,22655656,23033303,23357896,23608703,24197545,24337919,24438434,24496343,24631823,24676919,25036225,25282583,25487613,25904519,26070420,26159793,26235119,26277633,26500442,26534893,26621164,26879502,26956103,26959564,27034014,27280943,27287042,27474983,27808448,28244663,28257448,28310284,28382234,28667783,28920119,29037054,29066783,29109597,29379743,29652136,29952969,30000263,30043470,30061919,30072721,30123503,30310609,30397442,30409943,30532223,30576345,30715103,30775919,30859034,31078919,31284504,31332556,31520063,31789629,31818623,31920385,31971496,32046368,32183350,32213903,32236034,32614768,32625503,32666056,32692442,32761919,32995994,33001516,33052919,33128776,33227745,33358653,33752354,34198919,34445917,34655234,34663276,34798343,35002077,35195067,35316119,35325964,35407919,35442928,35558913,35645663,35656876,35702042,35851929,35967933,36000445,36052164,36317836,36404519,36423673,36691614,36749313,36814103,37149263,37269873,37289519,37480154,37759103,37862663,37906990,37983119,38169145,38304462,38361434,38517585,38620020,38622124,38748119,38843329,38882423,39049583,39082919,39447503,39579119,39703629,39873294,40412553,40541954,40549919,40597703,40661303,40788119,40955848,40977383,41085424,41117954,41194688,41227943,41367983,41564044,41676863,41692223,41834714,41977634,42214636,42263042,42313353,42405119,42646681,42961030,42974042,42997919,43027223,43041863,43114943,43200534,43223341,43300870,43368745,43434119,43462943,43606583,43836076,43863119,44083705,44243063,44385448,44451623,45012503,45174119,45307919,45488388,45503834,45525448,45600550,45743783,45802974,45809063,45926063,45996249,46075329,46221102,46344024,46349519,46436296,46476119,46485145,46576823,46726919,46736524,46888223,47097119,47266225,47315783,47496023,47638919,47721743,47757119,47897903,47932919,48472103,48486093,48539663,48640463,48651623,48807023,49080623,49145543,49211042,49242383,49402343,49613644,49768583,49778903,49886042,49902119,49933629,50054519,50147185,50155034,50373623,50617223,50834973,50865263,50931119,51216129,51236303,51254519,51452783,51491354,51550463,51553236,51624194,51666585,51742919,51811214,51888983,51939983,51961044,51972781,52042494,52124519,52137027,52240833,52288919,52394063,52489919,52608119,52631543,52739903,52783084,52900446,52944674,52951919,52974263,53084903,53150423,53235016,53293703,53300783,53330217,53440703,53468834,53570663,53599514,53644583,53671223,53686216,53724119,53821919,53860442,54086183,54177143,54250754,54301463,54359423,54362536,54410903,54439223,54510242,54522983,54527350,54610343,54716663,54720660,54753119,54763463,54870143,54890063,54898394,54904919,54929519,54987743,55002119,55063583,55105343,55111024,55186919,55220641,55252919,55304423,55367183,55490470,55529543,55550913,55555919,55563383,55610956,55664519,55705943,55782174,55823303,55829519,55866143,55895783,55910303,55913183,55927463,55969103,56001119,56008943,56064119,56137463,56181143,56299823,56337119,56377703,56383919,56388119,56393663,56398103,56404223,56421119,56423903,56426423,56428919,56429519,56430119,56548396,56692634,56719470,56895945,57171916,57321745,57735433,57959848,58200585,58368704,58708634,59206874,59504145,59579042,59773053,59889393,60069513,60176622,60196442,60396993,60500768,60517825,60580684,60689008,60810242,60816669,60923830,61099345,61157853,61372900,61387329,61640062,61747630,61955350,61999902,62080624,62118604,62119569,63229442,63468194,63471088,63587354,63971089,64321917,64438216,64707585,64771034,64866505,65006042,65059345,65204829,65432820,65664792,65771848,65835302,65993896,66357577,66403994,66407350,66519554,66588564,66991564,67198269,67324442,67543364,67553114,67767976,67897036,67904221,68063364,68275134,68786094,68800514,68883729,69021424,69095848,69585242,69795008,69840702,69893745,69919394,69979816,70362914,70473434,70896556,71083336,71194924,71404974,71511325,71868385,72108673,72330242,72492993,72621390,72625576,72682444,72868442,73108596,73319214,73363069,73615874,73647480,73722074,73872891,73993329,74016020,74097156,74243133,74246830,74250914,74346420,74553328,75258145,75337377,75505442,75815834,76022042,76238973,76352145,76534969,77070301,77394124,77462816,77649102,77670856,77686156,77732829,77751554,77839806,78071214,78519384,78557312,78727293,78848474,78851404,78886630,78927945,79199656,79272100,79302848,79688820,79968753,80301484,80509585,80604849,81181274,81276674,81292929,81442288,81560521,81703773,81799773,82479190,82484689,82597154,82853415,83180044,83339042,83798042,83872494,84066585,84189808,84692217,84705242,84893356,84974594,85001408,85038889,85348545,85725129,85743985,85813590,85816833,86039042,86214434,86242062,86313196,86571505,86879116,87145668,87168794,87379713,87546333,87606717,87659848,87680516,88210900,88334307,88376976,88442114,88819224,88859354,89096196,89098849,89099613,89190554,89215704,89353166,89671024,90008474,90089474,90250444,90309774,90673096,90932673,91038448,91387270,91444442,91534496,91622574,91642924,91864753,91970593,91990274,92067674,92175016,92634445,92714804,92985213,93028204,93194545,93245896,93361442,93458701,93585434,93734042,93954385,94124401,94249634,94270729,94613594,94663956,94713534,94973954,94988185,95126520,95229676,95372893,95508301,95626584,96299313,96490520,96611502,96789794,96925442,97006030,97262042,97300648,97395674,97595042,97955596,98120354,98497324,98617329,98891042,98975028,99078385,99080474,99393314,99424098,99517442,99640994,99921627,...,26499863449033526183777364831796771231046302472217180995471672746729358320210617195851319932808499288260448050591981789108815641743510719211458961276982504587819398953146522002945359871236397070205264293824427588999619686455487348965576763406796861844703036338280241087942679165613790043814822498426825676469540156295510926299133708839467153542454002512567424506548074329848813466958427821412973389410350819610263417739858232510874973897364758495508304396245161138782267739032362822208605213701778188072414587483220666119079538715732457696621684109360501633055105290638486544421832058056842633411660714900268567289766410578857283065857851232192893065349641986186430012145245806434966355452903977444973855071520063359870433765295476841150017934397983610369220495728150538161236873031715121793752856865065592621709642894680348696937321411235661802093205696450854958506253196345492665778599080464518357543453841997390174262796788163820517090102809328512183856058189866823784901220874993245635887295015541696116938584426721751376846321830143365086393454277115957987211524457059042872843511883957530225451679764928433711214825665182817375887511441690393800625327627780517507231346781509202439221845206032916518504012122838359447122386836034184913461056282467049241585069555397270644085242173538090906570765073823697487369613973075066289585481125406756316698649613748866485403972651807393713558783791706064464011317474886121365053462323874821036300285103838410555721914848555842702093181592680768472913370027431575690470399189855592922433988171350757232059070599298378830669505390725098714957496149037722573630649392393141818301014431094436647874449772889355713411246343295928202675421772011226044407422761159805715630746452358212027798530304407093267617829482686820878886143945857526387802343469128552994185415134703562763776603664454831900401505442208056860170913328397088903874892938765084250474743010931498383883661216527960518564366085057742401218624499778219861570818937849597608608698170539951859086656652049693582203515529715982641330085217715755668526870368650499846444256972473263315126838756380578651759688994750518659098995716599408232804341449990172659497364849155064525966731725535009302822979913835107272716948579623893406674886753144922510732797204236605364221488578949221736782500708414116081474808026235410706804071126392515348011531043338215231205809052838267741845689492106561}
15025   294277918531307867242598494965790707837308841289527957179610324: {225255,240272,270306,525455,630546,750650,900780,960832,1080936,1216053,2380071,2771855,3184563,3326226,3719811,5109203,5455655,5648591,5852163,6386639,6546786,6547571,7012019,7237655,7428659,7970691,8261267,8367671,8498163,8685186,9123770,9300767,9559154,9849602,10017170,10523207,10599411,10612370,10948524,11015939,11122563,11226095,11644851,11716706,11801810,11856143,11905671,12020604,12354482,12426663,12734844,13005244,13238099,13286810,13471314,13651379,14070860,14160674,14162172,14177111,14308055,14477267,14746895,15500039,15508367,15534471,15714419,15944172,15956954,16108391,16498655,16755587,16820211,16885032,17076711,17155679,17169666,17265911,17360819,17589063,17649260,17696274,17808695,18578920,18831002,18866163,18911570,18995661,19017347,19501970,19798386,19823699,19929683,20049647,20064242,20137863,20438159,20467919,20610746,20681810,20797139,20852855,20898291,20901285,21179112,21345794,21370434,21635452,21777779,21909171,22154810,22294704,22449170,22584455,22674599,22693884,22934834,23402364,23533571,23826501,23992034,24332392,24725267,24740855,24801170,24818172,25023426,25065791,25081542,25918131,25945619,26585772,26627843,26713202,26888255,26939004,27004076,27101346,27115091,27260354,27373941,27577394,27622211,27975059,28040572,28148871,28319570,28537922,28582799,28987679,29007047,29197370,29219234,29584946,29689026,29761404,29983682,30111314,30117063,30851571,30851687,31012562,31464983,31591991,32097722,32265906,32588025,32590007,32845523,33043431,33276455,33699455,33983484,34023191,34031042,34760560,34879724,34897343,35036844,35135447,35321810,35387855,35836367,35839336,35903027,35949746,36045352,36440786,36657651,36800543,37065170,37287794,37322423,37859651,38005442,38321231,38704007,38716072,38812796,38837267,39105630,39165695,39263747,39637319,39750663,39834767,39931746,39937292,39964370,40057960,40319253,40439346,40551021,40631759,40745522,40768460,40832570,40930563,41251895,41410970,41712672,41918834,42112706,42386172,42465426,42573351,43329095,43555581,43767386,44008991,44157455,44303660,44478204,44571095,44765591,44795279,44903639,45065205,45397295,45596163,45622679,45857603,45968771,46277543,46288551,46580639,46669436,46926756,46975439,46998834,47057807,47411884,47546963,47567219,47802572,47957244,48069552,48222146,48275025,48277655,48354051,48758114,48922152,48999084,49038663,49089554,49380179,49493991,49502274,49693164,50426627,50628531,50677874,50714867,51072616,51194810,51356780,51493360,51577523,51932543,51955055,51957842,51982851,51994914,52674914,52768295,52938172,52988946,53076839,53102882,53164392,53443799,53460803,53485314,53553063,53812343,53883404,54078246,54319271,54320546,54476754,54762527,54795095,55037421,55208282,55481810,55537202,55632719,56220231,56383439,56417804,56860485,56906810,57456693,57534647,57542151,57550367,57600712,57744659,57930030,57933186,58045370,58420655,58531379,59057042,59205599,59296979,59809941,59810231,60007007,60393746,60458867,60500399,60571202,60651184,60812931,60884039,61070632,61232339,61328332,61433772,61452914,61628136,61676931,61699823,61792032,62017055,62197919,62277842,62346066,62635571,62752071,62966451,63321954,63394563,63547379,63741827,63941954,64247522,64441545,64448306,64461063,64648124,64800801,64851314,64881434,64951305,65234162,65754114,65899091,65956322,65978855,66309623,66543770,66578172,66845699,67056947,67107770,67580183,67779964,67893359,67953170,67961999,68232582,68255751,68288172,68385551,68400825,68704461,68737648,68888780,69023474,69259802,69281392,69299699,69331653,69368279,69388307,69389992,69480083,69513695,69516036,69654444,70104786,70261442,70533928,70581986,70685495,70817459,70984511,71106956,71262002,71464895,72096791,72197474,72248471,72449810,72837791,72960880,73178039,73666082,73816563,74067884,74108243,74346386,74376232,74420466,74476754,74663474,74829063,74941043,75232551,75279719,75320807,75625960,75725855,75757154,75801491,75861260,75872186,76173887,76702367,76716125,76759379,77237031,77329854,77382626,77397602,77436291,77600780,77648255,77716821,77941566,78063741,78315842,78462146,78754547,79165571,79174626,79290191,79338860,79338959,79350669,79417011,79485023,79488071,79658642,79697404,79852524,79856543,80092684,80203251,80235496,80399271,80529324,80547770,80653139,80790663,81088892,81169871,81376131,81543804,81590159,81765363,81791025,81849772,81907271,82080990,82214810,82259906,82347591,82492370,82666536,82826092,83115743,83235705,83416434,83655683,83673261,83739455,83810522,84429205,84709970,84822594,84871295,85004231,85038951,85079205,85095287,85138067,85393487,85739267,85757874,85762556,86153279,86276780,86369810,86939772,87204143,87243760,87249266,87474770,87553056,87570431,87885842,87968039,88062951,88620695,88645619,88663847,88716611,88784752,88810311,88854170,88958834,88993655,89368563,89597692,89600594,89960339,90091271,90237122,90264933,90294663,90365279,90496991,90751152,90781970,90853055,90871026,91033512,91067042,91215363,91385745,91578959,91631639,91714792,91786994,91818323,91844972,92059350,92357279,92388722,92460093,92520025,92621445,92784947,92933025,92999853,93120936,93177906,93191660,93247442,93276659,93925607,94254647,94844163,95111219,95121362,95202291,95206632,95381031,95441399,95966351,96195539,96297683,96317234,96657324,96695603,96742655,96828520,97088570,97105943,97107695,97156551,97190567,97202906,97478128,97485122,97498994,97509063,97758952,98067647,98111642,98149230,98196640,98277671,98497188,98510711,98564255,98579546,98657772,98752953,98796208,98945567,98990844,98999570,99048743,99090125,99128560,99605991,99611025,99779331,99854867,99882846,...,35333151265378034911703153109062361641395069962956241327295563662305811093614156261135093243744665717680597400789309052145087522324680958948611948369310006117092531937528696003927146494981862760273685725099236785332826248607316465287435684542395815792937381784373654783923572220818386725086429997902434235292720208394014568398844945119289538056605336683423232675397432439798417955944570428550631185880467759480351223653144310014499965196486344660677739194993548185043023652043150429611473618269037584096552783310960888158772718287643276928828912145814002177406807054184648725895776077409123511215547619867024756386355214105143044087810468309590524087132855981581906682860327741913288473937205303259965140095360084479827245020393969121533357245863978147158960660970867384214982497375620162391670475820087456828946190526240464929249761881647549069457607595267806611341670928460656887704798773952691143391271789329853565683729050885094022786803745771349578474744253155765046534961166657660847849726687388928155918112568962335169128429106857820115191272369487943982948699276078723830458015845276706967268906353237911614953100886910423167850015255587191734167103503707356676308462375345603252295793608043888691338682830451145929496515781378913217948075043289398988780092740529694192113656231384121208761020098431596649826151964100088386113974833875675088931532818331821980538630202409858284745045055608085952015089966514828486737949765166428048400380138451214074295886464741123602790908790241024630551160036575434253960532253140790563245317561801009642745427465731171774226007187633464953276661532050296764840865856524189091068019241459248863832599697185807617881661791061237603567229029348301392543230348213074287507661936477616037064707072542791023490439310249094505181525261143368517069791292171403992247220179604750351702138219273109200535340589610742480227884437862785205166523918353445667299657347908664511844881622037280691419154780076989868291499333037626482094425250466130144811597560719935812115542202732924776271354039621310188440113623621007558035827158200666461925675963297684420169118341840771535679585326334024878798660955465877643739121933320230212663153132206752701288975634046679070430639885113476363622598106165191208899849004193230014310396272315473818961984771932295649043334277885488108633077368313880942405428168523353797348708057784286974941078737117690322460919322808748}
15026   295609783508373087071116510494751642174480735984283834045158016: {195169,210238,300340,330286,360408,405459,644269,840728,945819,1125975,1180813,1201040,1228606,1351170,1441248,1448113,1537069,1621404,2004238,2069293,2182846,2334433,2950573,3014446,3173428,3388513,3783838,4079038,4246084,4434968,4605169,4668238,4959748,4989339,5138446,5373166,5465569,5724766,5807713,5841838,6251086,6318769,6717838,6742669,7125406,7585069,7590238,7802884,7920013,7996126,8169838,8337073,8343406,8632366,8729048,8752333,8917933,9036238,9151486,9820179,10476769,10627588,10758238,11330884,11580248,11613838,11769313,12089569,12408673,12488269,12579166,12635806,12964333,13027779,13427086,13483486,13596238,13685655,13986913,14132548,14159038,14271406,14338731,14598032,14774403,14830084,14842669,15025755,15112126,15228769,15526468,15613069,15874228,15918555,15995569,16027472,16256555,16283086,16422786,16568884,16671838,16949038,16979792,17056993,17115166,17336446,17575059,17588575,17667886,17702715,17778238,17806513,17881069,17961752,18030906,18531723,18882896,19064173,19102266,19425838,19430113,19507866,19589806,19794253,19930215,20080846,20156593,20206971,20712628,20875873,21106290,21221566,21241011,21243258,21258896,21290843,21587953,21800173,22032046,22061575,22426948,22513376,22642573,22768948,22892888,23223650,23336653,23452084,23481838,23543473,23595032,23916258,23935431,24567853,24703213,24919966,25154884,25308769,25327548,25754499,25974769,26239153,26397848,26399038,26473890,26504206,26544411,26633569,26819326,26850484,27044315,27186238,27543793,27813406,27864388,27868380,28238816,28246503,28249069,28367355,28386286,28493912,28945633,29134093,29212228,29252955,29629486,29697579,29726272,30096363,30189793,30258512,30401806,30415490,30453166,30679393,30709726,30916119,31022715,31043569,31068238,31203152,31221646,31359419,31539683,31704493,31768668,31935646,32018691,32055651,32238769,32453178,32474353,32767213,33000766,33090896,33116269,33232215,33364568,33442056,33606238,33673755,33749473,33755095,33876563,34040826,34402251,34557508,35050715,35103546,35321953,35447696,35651569,35707246,35756926,35918672,35988051,36135128,36249133,36351838,36498588,36678253,37201755,37227258,37522669,37531828,37535139,37622313,37730893,38754733,38805838,38951806,39291838,39585368,39681872,39798769,39872926,39878658,40069803,40156084,40259038,40332973,40408506,40506114,40572913,40652019,40708811,40811053,40836286,40890531,41000269,41135428,41366091,41468269,41699569,41883313,41974753,42060858,42111373,42174238,42202093,42427633,42479355,42554206,42806883,43021208,43046159,43049569,43122238,43224673,43263886,43441933,43450700,43593838,43599655,43700269,43796055,43828851,43871053,44057908,44298238,44377419,44533539,44642106,44688539,44799170,44975523,45056690,45138766,45166971,45195853,45231838,45311312,45947569,46066606,46102513,46370893,46518843,46522669,46715792,47217406,47445169,47659873,47766253,47942113,48146583,48288433,48395090,48398859,48515995,48661069,48675838,48860653,48876868,48992269,48992686,49263646,49353838,49788769,49912033,49921615,50064493,50072450,50400623,50423053,50511073,50565166,50713933,50941453,50960575,50975226,51046563,51081313,51136753,51753613,51809038,52009933,52035169,52140840,52308013,52319586,52470238,52555266,52642669,52873069,52982715,53000884,53069786,53096269,53118193,53242328,53312269,53333473,53436803,53602573,53642893,53742433,53759004,53912206,53917069,53919128,53924619,54068028,54540769,54561886,54574084,54622669,54661179,54842413,54949966,55062193,55159213,55199713,55265773,55379575,55597755,55616896,55624333,55677793,55739569,55798753,55836769,55882669,55926769,55931691,56147053,56319853,56368993,56403553,56443873,56444593,56489326,56514896,56620568,56764468,57008163,57335566,57840238,58074108,58133566,58219194,58336795,58658445,58759486,59264855,59304272,59753215,59897619,59905938,59946555,60000526,60086940,60123838,60145442,60247006,60621218,60659019,60716243,60794884,60819886,61064446,61118283,61152690,61248855,61430206,61551838,61717187,61718068,62116455,62157838,62569008,62665112,62878251,63040126,63169059,63579258,63637246,63698139,63840770,63942992,64092736,64195975,64366700,64427806,64472068,65079203,65229536,65251006,65332112,65384884,65523838,65651079,65991988,66003032,66105838,66172715,66257552,66455490,66717306,67354255,67504708,68397838,68891834,69310468,69326552,69596686,70004154,70206059,70390134,70498251,70522255,70632238,70651928,70815838,70885856,71117826,71291326,71313752,71404084,71703858,71935866,72000890,72104328,72333219,72635672,72809038,72847346,73137171,73383228,73498626,73628206,73634331,74253411,74298526,74539746,74579038,74960308,75518206,75725326,75813980,75966238,76016811,76338290,76608924,76660415,76722868,76792215,77035170,77240040,77244248,77496238,77686658,77764846,77936763,77992371,78099166,78165838,78422591,78895006,79012371,79158238,79407258,79483419,79654323,79746588,80227971,80250443,80810155,80825106,81083908,81099838,81117369,81176887,81195406,81322606,81480819,81576238,81715131,81911696,81954766,82170848,82235908,82389376,82455886,82735966,82812423,83128088,83222715,83305803,83353726,83384446,83669428,83955268,84429272,84526084,84626706,84724955,84810238,85060459,85293362,85360215,85539083,85922060,85948084,85995838,86054446,86083726,86110975,86229886,86401068,86446682,86601740,86737490,86868238,86895045,86899779,86925886,87068055,87104611,87213166,87672152,87726238,88167410,88486126,88585563,88770896,88883695,88903246,90025006,90348238,90590619,90615838,90813107,90856803,90976776,91007668,91050896,91083083,91201100,91487566,91605948,91618126,91852126,91992498,92150658,92179371,92442204,92584855,92688048,92699038,92872592,92952238,92970290,93153646,93416763,93453838,93473048,93519099,93776446,94194238,94532450,94631566,94826575,94982931,94992046,95277838,95443486,95514238,95795806,95865838,95880763,95912931,96371283,96672459,96944206,96972186,97000975,97079326,97276971,97280926,97303246,97322151,97614046,97851243,98161246,98291086,98422084,98484766,98631171,98804686,98934483,99173575,99227288,99498943,99537166,99557806,99621755,99772084,99804238,99815655,99867258,...,52999726898067052367554729663593542462092604944434361990943345493458716640421234391702639865616998576520896101183963578217631283487021438422917922553965009175638797906293044005890719742472794140410528587648855177999239372910974697931153526813593723689406072676560482175885358331227580087629644996853651352939080312591021852598267417678934307084908005025134849013096148659697626933916855642825946778820701639220526835479716465021749947794729516991016608792490322277564535478064725644417210427403556376144829174966441332238159077431464915393243368218721003266110210581276973088843664116113685266823321429800537134579532821157714566131715702464385786130699283972372860024290491612869932710905807954889947710143040126719740867530590953682300035868795967220738440991456301076322473746063430243587505713730131185243419285789360697393874642822471323604186411392901709917012506392690985331557198160929036715086907683994780348525593576327641034180205618657024367712116379733647569802441749986491271774590031083392233877168853443502753692643660286730172786908554231915974423048914118085745687023767915060450903359529856867422429651330365634751775022883380787601250655255561035014462693563018404878443690412065833037008024245676718894244773672068369826922112564934098483170139110794541288170484347076181813141530147647394974739227946150132579170962250813512633397299227497732970807945303614787427117567583412128928022634949772242730106924647749642072600570207676821111443829697111685404186363185361536945826740054863151380940798379711185844867976342701514464118141198596757661339010781450197429914992298075445147261298784786283636602028862188873295748899545778711426822492686591856405350843544022452088814845522319611431261492904716424055597060608814186535235658965373641757772287891715052775604686938257105988370830269407125527553207328909663800803010884416113720341826656794177807749785877530168500949486021862996767767322433055921037128732170115484802437248999556439723141637875699195217217396341079903718173313304099387164407031059431965282660170435431511337053740737300999692888513944946526630253677512761157303519377989501037318197991433198816465608682899980345318994729698310129051933463451070018605645959827670214545433897159247786813349773506289845021465594408473210728442977157898443473565001416828232162949616052470821413608142252785030696023062086676430462411618105676535483691378984213122}
15027   296947627954035054112538029590147574387443288828338162204084811: {315357,375425,450510,480544,495429,540612,735637,1050910,1261092,1501300,1801560,1842909,1921664,2026755,2161872,2432106,3006357,3274269,3880597,3966785,4521669,4760142,5307605,5543710,5675757,6038149,6118557,6199685,6369126,6652452,7002357,7439622,7637917,7707669,7738973,8059749,8587149,8762757,9376629,9707093,9753605,10076757,10132717,10218406,10433393,10688109,10911310,11297182,11385357,11704326,11994189,12254757,12515109,12588929,12773278,12948549,13018837,13093572,13095142,13284485,13476257,13554357,13727229,14024038,14163605,14475310,14857318,14995853,15716533,15941382,16137357,16168517,16522534,16735342,16996326,17323573,17370372,17420757,17665685,17783873,18031373,18225269,18247540,18537605,18601534,18868749,18953709,19118308,19408085,19699204,19842785,20031277,20034340,20140629,20225229,20378213,20394357,20645653,20711105,21046414,21198822,21224740,21238557,21407109,21897048,22031878,22245126,22408429,22422653,22452190,22668189,23098117,23289702,23433412,23603620,23712286,23780677,23811342,24041208,24367013,24424629,24578437,24634179,24708964,24853326,24932173,25007757,25423557,25469688,25560629,25672749,25890785,26004669,26010488,26476198,26501829,26573620,26667357,26942628,27046359,27302758,28033685,28141720,28246229,28321348,28324344,28354222,28461185,28616110,28617137,28653399,28787453,28954534,29138757,29193997,29261799,29315105,29384709,29493790,30121269,31000078,31007533,31016734,31068942,31428838,31443605,31469269,31618237,31659435,31832349,31864887,31888344,31913908,32216782,32997310,33048069,33135533,33511174,33563105,33640422,33694753,33770064,33770749,34153422,34311358,34339332,34531822,34637197,34721638,34830485,34835475,35178126,35222757,35298520,35392548,35617390,35874387,36515285,36661517,36994117,37157840,37185889,37379949,37643557,37662004,37732326,37823140,37888829,37991322,38034694,38701709,39003940,39143029,39269029,39596772,39598557,39647398,39710835,39756309,39859366,40099294,40128484,40228989,40275726,40779357,40876318,40935838,41221492,41363620,41594278,41705710,41720109,41723693,41796582,41802570,42139277,42358224,42579429,42680429,42691588,42740868,43196885,43270904,43555558,43633313,43636373,43818342,44300533,44309620,44444229,44589408,44898340,45130733,45168910,45349198,45387768,45602709,45623235,45679749,45869668,46064589,46206773,46587037,46602357,46804728,46832469,46845917,46914785,47067142,47179237,47452229,47653002,47903469,47984068,48664784,48679767,49450534,49481710,49501149,49542997,49602340,49608737,49636344,50046852,50131582,50163084,50195105,50303173,50409357,50990053,51061239,51255413,51419285,51836262,51891238,52655319,53067937,53171544,53255686,53426404,53560869,53635389,53776510,53878008,54008152,54195349,54202692,54230182,54313375,54359153,54520708,54527757,54747882,54831973,55072385,55154788,55244422,55840887,55950118,55991573,56081144,56297742,56479733,56639140,56734357,57047597,57075844,57165598,57752653,57880493,57975358,58014094,58113197,58208757,58394740,58427709,58438468,58539253,58937757,59012549,59169892,59321173,59378052,59522808,59809389,59817987,59967364,60014573,60222628,60234126,60388557,60612759,60660733,60759171,61096085,61254429,61648829,61703142,61703374,61820437,62025124,62093677,62289053,62399533,62403533,62588933,62929966,62976653,63091287,63180949,63183982,63261357,63556213,63831309,64195444,64303429,64455857,64531812,64683357,64895829,65073509,65176050,65180014,65274173,65390757,65505509,65691046,65933837,66086862,66251105,66447357,66552910,66963159,67198755,67398910,67410593,67585035,67588717,67618093,67708149,67847757,67966968,68046382,68062084,68217605,69099909,69521120,69759448,69794686,70073688,70270894,70630613,70643620,70775710,70826109,70955585,71672734,71678672,71740453,71806054,71826533,71899492,72090704,72592635,72737077,72812317,72881572,73013757,73305377,73315302,73489029,73601086,73875613,73895469,74030757,74130340,74575588,74644846,74738213,75108675,75719302,75847749,75880813,75993605,76010884,76378693,76462839,76595453,76642462,76713133,77147585,77408014,77432144,77529253,77625592,77674534,77713557,77713613,78129629,78211260,78331390,78479379,78527494,78705357,78832899,78958637,79157789,79274638,79501326,79604679,79669534,79863492,79867489,79874584,79928740,80115920,80458375,80590085,80638506,80868309,80878692,81102042,81263518,81491044,81536920,81665140,81731105,81788917,81842829,81861126,82424949,82489985,82503790,82821940,83425344,83837668,84225412,84310757,84380885,84733989,84772344,84930852,85146702,85169069,86003349,86483137,86638085,86658190,86760357,86823877,87111162,87169517,87200349,87328791,87534772,87582469,87956657,87979873,88017982,88139229,88314910,88592453,88607320,88956408,89142190,89168309,89255105,89421637,89531182,89590558,89807278,89858907,90000789,90130410,90185757,90218163,90370509,90423773,90794590,90931827,91192326,91229829,91245358,91282693,91596669,91715206,91729035,91937542,92145309,92327757,92370397,92555086,92577102,92797429,93161278,93236757,93338872,93700385,93853512,93944573,93950878,93997668,94081229,94115614,94560189,94767475,94823768,95093926,95134438,95154749,95236397,95368887,95455869,95574077,95605144,95761155,95903585,95914488,96139104,96444292,96550050,96555310,96641709,96688673,96708102,97237493,97319173,97516228,97844304,97876509,97998168,98077326,98179108,98285757,98760358,98959693,98987982,99004548,99158757,99386328,99683235,...,79499590347100578551332094495390313693138907416651542986415018240188074960631851587553959798425497864781344151775945367326446925230532157634376883830947513763458196859439566008836079613709191210615792881473282766998859059366462046896730290220390585534109109014840723263828037496841370131444467495280477029408620468886532778897401126518401460627362007537702273519644222989546440400875283464238920168231052458830790253219574697532624921692094275486524913188735483416346803217097088466625815641105334564217243762449661998357238616147197373089865052328081504899165315871915459633265496174170527900234982144700805701869299231736571849197573553696578679196048925958559290036435737419304899066358711932334921565214560190079611301295886430523450053803193950831107661487184451614483710619095145365381258570595196777865128928684041046090811964233706985406279617089352564875518759589036477997335797241393555072630361525992170522788390364491461551270308427985536551568174569600471354703662624979736907661885046625088350815753280165254130538965490430095259180362831347873961634573371177128618530535651872590676355039294785301133644476995548452127662534325071181401875982883341552521694040344527607317665535618098749555512036368515078341367160508102554740383168847401147724755208666191811932255726520614272719712295221471092462108841919225198868756443376220268950095948841246599456211917955422181140676351375118193392033952424658364095160386971624463108900855311515231667165744545667528106279544778042305418740110082294727071411197569566778767301964514052271696177211797895136492008516172175296144872488447113167720891948177179425454903043293283309943623349318668067140233739029887784608026265316033678133222268283479417146892239357074636083395590913221279802853488448060462636658431837572579163407030407385658982556245404110688291329810993364495701204516326624170580512739985191266711624678816295252751424229032794495151650983649583881555693098255173227203655873499334659584712456813548792825826094511619855577259969956149080746610546589147947923990255653147267005580611105951499539332770917419789945380516269141735955279066984251555977296987149798224698413024349970517978492094547465193577900195176605027908468939741505321818150845738871680220024660259434767532198391612709816092664465736847665210347502125242348244424424078706232120412213379177546044034593130014645693617427158514803225537068476319683}
15028   298291478497667314930370171406560736028358554916488115119871763: {165187,390338,420476,600680,660572,675765,720816,810918,883171,1061947,1288538,1329571,1576365,1681456,1876625,1891638,1951507,2040067,2216971,2251950,2361626,2402080,2457212,2702340,2882496,2896226,2921707,3074138,3242808,3648159,3796147,3970171,4008476,4138586,4143907,4365692,4576987,4668866,5266171,5694571,5865427,5901146,6028892,6346856,6777026,6799987,6968971,7137667,7140213,7390171,7567676,8158076,8315565,8492168,8869936,8891587,9210338,9222067,9336476,9469171,9553689,9919496,9978678,10043227,10276892,10746332,10931138,11159433,11449532,11615426,11663947,11683676,12502172,12637538,13255867,13334707,13435676,13485338,13649347,13727827,14250812,14275171,14430907,14818987,15170138,15180476,15282307,15327609,15605768,15840026,15972427,15992252,16339676,16366965,16429267,16674146,16686812,16945773,16958971,17264732,17458096,17504666,17556489,17560027,17835866,17933347,18072476,18082171,18302972,19159917,19189171,19640358,19642713,19700227,20953538,20998171,21036057,21140947,21255176,21516476,21567547,21712965,22285977,22622707,22661768,22759177,22809425,23160496,23227676,23538626,23661667,23897885,23912073,23935987,24179138,24624005,24684427,24783801,24817346,24954427,24976538,25021747,25042925,25103013,25158332,25271612,25494489,25823971,25928666,26055558,26353027,26530925,26812171,26854172,26966972,27007867,27192476,27267787,27371310,27461971,27902301,27973826,28265096,28295947,28318076,28542812,28613467,28677462,29196064,29291765,29504525,29548806,29660168,29679571,29685338,29865547,30051510,30112507,30224252,30457538,30480787,30886205,30907171,31052936,31226138,31569621,31629907,31748456,31798233,31808971,31837110,31991138,32054944,32224267,32513110,32566172,32845572,33047817,33137768,33217025,33275971,33343676,33367689,33678285,33898076,33959584,34021027,34113986,34134571,34230332,34247827,34672892,34934553,34976971,35150118,35177150,35254171,35335772,35401685,35405430,35419627,35556476,35568429,35613026,35693947,35717013,35762138,35923504,36061812,36452467,36879571,37063446,37144171,37279989,37765792,37862041,38030347,38128346,38204532,38287027,38851676,38860226,38945971,39015732,39096307,39179612,39295747,39588506,39592747,39714297,39860430,39892385,39935971,40161692,40313186,40413942,40659571,40802347,40954137,40991707,41273587,41425256,41599171,41697689,41737627,41751746,42212580,42420187,42443132,42482022,42486516,42517792,42531333,42581686,42924165,43042627,43175906,43431801,43478587,43600346,44064092,44119027,44123150,44240685,44453971,44660971,44743267,44853896,45026752,45069571,45285146,45537896,45668971,45785776,46059571,46366867,46447300,46500117,46525101,46603413,46673306,46744507,46893547,46904168,46963676,47077505,47086946,47143257,47190064,47257133,47278925,47630957,47832516,47870862,48110413,48183067,48325173,48490867,48754925,49071001,49135706,49186387,49406426,49495965,49506427,49569571,49819267,49839932,49972987,50160605,50245147,50266761,50309768,50460633,50569867,50617538,50627971,50655096,50970547,51054571,51230133,51275467,51384187,51464971,51467037,51508998,51526865,51598171,51704525,51781627,51797733,51949538,51986971,52082457,52162867,52310827,52432147,52478306,52527907,52762267,52767189,52795696,52798076,52947780,52989427,53008412,53011747,53088822,53230987,53267138,53364485,53426085,53525827,53546347,53638652,53700968,53747587,54088630,54128467,54254971,54372476,54725707,54788347,54954667,55055971,55087586,55126171,55387025,55413667,55589707,55622971,55626812,55728776,55729171,55736760,55856467,55937467,56028547,56096587,56103787,56122925,56138707,56152171,56215171,56270971,56296171,56305747,56310427,56328427,56353267,56368387,56456227,56459107,56459467,56459971,56477632,56493006,56498138,56598489,56734710,56772572,56986983,56987824,57052041,57337085,57891266,58268186,58424456,58505910,59258972,59395158,59452544,59471097,59789049,59980085,60148941,60192726,60379586,60413589,60517024,60803612,60830980,60906332,61039517,61314477,61358786,61403757,61419452,61832238,62002925,62045430,62087138,62136476,62391417,62406304,62443292,62558565,62694873,62703855,62718838,63079366,63408986,63537336,63871292,64037382,64111302,64477538,64906356,64948706,65333337,65534426,65727513,66001532,66181792,66232538,66464430,66729136,66783005,66884112,67016213,67212476,67347510,67498946,67510190,67753126,67753365,67922393,68023797,68081652,68150885,68804502,68943485,69115016,69890261,70101430,70207092,70600713,70643906,70798925,70895392,71303138,71344805,71414492,71479503,71513852,71837344,71976102,72270256,72498266,72703676,72993425,72997176,73048085,73356506,73962365,74175801,74222565,74403510,74454516,74959205,75045338,75063656,75070278,75197373,75244626,75278285,75461786,77509466,77531405,77611676,77754393,77836857,77903612,78583676,79170736,79363744,79597538,79745852,79757316,79883529,80139606,80244305,80312168,80518076,80664765,80665946,80817012,81012228,81145826,81304038,81345273,81417622,81622106,81671513,81672572,81781062,82000538,82121823,82270856,82732182,82866633,82936538,82970797,83399138,83654501,83766626,83925177,83949506,84121716,84222746,84348476,84404186,84446613,84855266,84958710,85077605,85108412,85613766,85748397,86042416,86092318,86099138,86244476,86449346,86527772,86775293,86883866,86901400,86963037,87021141,87187676,87199310,87400538,87592110,87657702,87742106,88115816,88304525,88596476,88754838,89067078,89284212,89377078,89598340,89874365,89951046,90113380,90277532,90333942,90351189,90391706,90463676,90622624,90727109,91101965,91895138,92133212,92205026,92554713,92555061,92641801,92662925,92741786,93037686,93045338,93219485,93431584,94295957,94394949,94434812,94775973,94890338,95013605,95319746,95532506,95884226,95936321,96293166,96576866,96790180,96797718,97031990,97322138,97351676,97721306,97753736,97764075,97770021,97984538,97985372,98527292,98536569,98707676,98731157,99130293,99577538,99824066,99829365,99843230,99910925,...,105999453796134104735109459327187084924185209888868723981886690986917433280842468783405279731233997153041792202367927156435262566974042876845835845107930018351277595812586088011781439484945588280821057175297710355998478745821949395862307053627187447378812145353120964351770716662455160175259289993707302705878160625182043705196534835357868614169816010050269698026192297319395253867833711285651893557641403278441053670959432930043499895589459033982033217584980644555129070956129451288834420854807112752289658349932882664476318154862929830786486736437442006532220421162553946177687328232227370533646642859601074269159065642315429132263431404928771572261398567944745720048580983225739865421811615909779895420286080253439481735061181907364600071737591934441476881982912602152644947492126860487175011427460262370486838571578721394787749285644942647208372822785803419834025012785381970663114396321858073430173815367989560697051187152655282068360411237314048735424232759467295139604883499972982543549180062166784467754337706887005507385287320573460345573817108463831948846097828236171491374047535830120901806719059713734844859302660731269503550045766761575202501310511122070028925387126036809756887380824131666074016048491353437788489547344136739653844225129868196966340278221589082576340968694152363626283060295294789949478455892300265158341924501627025266794598454995465941615890607229574854235135166824257856045269899544485460213849295499284145201140415353642222887659394223370808372726370723073891653480109726302761881596759422371689735952685403028928236282397193515322678021562900394859829984596150890294522597569572567273204057724377746591497799091557422853644985373183712810701687088044904177629691044639222862522985809432848111194121217628373070471317930747283515544575783430105551209373876514211976741660538814251055106414657819327601606021768832227440683653313588355615499571755060337001898972043725993535534644866111842074257464340230969604874497999112879446283275751398390434434792682159807436346626608198774328814062118863930565320340870863022674107481474601999385777027889893053260507355025522314607038755979002074636395982866397632931217365799960690637989459396620258103866926902140037211291919655340429090867794318495573626699547012579690042931188816946421456885954315796886947130002833656464325899232104941642827216284505570061392046124173352860924823236211353070967382757968426244}
15029   299641361886282482649888340398056586217292097259264450217768632: {525595,585507,630714,750850,825715,901020,961088,990858,1081224,1216377,1471274,1932807,2101820,2522184,2837457,3002600,3071515,3377925,3542439,3603120,3685818,3843328,4053510,4323744,4344339,4611207,4864212,5010595,5457115,5553499,6012714,6207879,6548538,7003299,7386619,7430647,7536115,7761194,7926007,7933570,8679559,8851719,9043338,9146059,9459595,9520284,10036147,10165539,10197595,10615210,10942339,11018887,11087420,11351514,11472019,11660851,11670595,11673607,12076298,12237114,12399370,12738252,12738619,12846115,12981991,13304904,13432915,13457131,13655047,13815507,14004714,14311915,14604595,14615491,14879244,14968017,15061699,15275834,15415338,15477946,15504187,15627715,16119498,16396707,16760071,16794595,17174298,17423139,17525514,17813515,18539299,18598279,18651379,18753258,18956307,18975595,19010347,19414186,19507210,19829047,19990315,20152711,20153514,20228007,20265434,20283079,20424595,20436812,20802727,20858515,20866786,21064819,21376218,21452167,21580915,21783607,21822620,22578499,22590595,22594364,22680667,22749991,22755207,22770714,22878715,22973539,23020999,23408652,23760039,23988378,24370291,24509514,24694087,24731959,25011219,25030218,25125907,25177858,25546556,25897098,25952647,26037674,26187144,26190284,26256999,26427091,26499499,26568970,26753799,26895595,26952514,27108714,27171319,27281287,27323431,27454458,27779899,28048076,28327210,28488007,28797379,28950620,28995547,29034595,29295379,29460537,29714636,29991706,30191719,30738811,31151527,31430307,31433066,31447915,31589515,31882764,31983859,32117107,32274714,32337034,33045068,33381907,33470684,33567715,33708715,33990595,33992652,34647146,34740744,34841514,35307939,35331370,35397595,35567746,35678515,36062746,36113251,36247099,36268707,36450538,36495080,37033831,37075210,37188139,37203068,37226019,37346779,37464807,37737498,37780315,37907418,38236616,38816170,38853991,38892999,39083337,39247159,39398408,39685570,39845659,40062554,40068680,40281258,40450458,40707715,40756426,40771687,40788714,41041147,41056965,41291306,41381479,41422210,41679595,41918707,41960739,42092828,42372595,42397644,42449480,42477114,42787915,42814218,43016193,43341115,43461559,43794096,43960807,44021047,44063756,44169715,44323209,44445595,44490252,44497339,44528007,44777707,44816858,44845306,44904380,44915827,45077265,45336378,45552067,45634987,45686307,46196234,46579404,46642507,46839207,46852219,46866824,46988347,47070451,47096839,47207240,47424572,47529799,47561354,47622684,47755665,47986707,48082416,48123787,48564595,48734026,48762679,48769665,48784699,48849258,48974515,49156874,49268358,49309819,49393447,49417928,49706652,49864346,50015514,50112379,50202115,50440231,50440507,50847114,50939376,51121258,51121399,51170979,51345498,51570259,51781570,52009338,52020976,52725177,52765725,52952396,53003658,53053915,53108145,53147240,53334714,53419539,53643207,53885256,54092718,54605516,55080115,55445059,55595169,55646407,55647667,56067370,56079907,56283440,56314291,56487331,56492458,56642696,56648688,56708444,56922370,57010819,57192519,57232220,57234274,57306798,57550219,57574906,57909068,58059125,58277514,58290339,58387994,58523598,58539619,58630210,58704595,58769418,58987580,59221507,59382759,59790645,60242538,60374887,60469779,60475639,60516787,60574579,60620913,61029991,61042759,61647067,62000156,62015066,62033468,62137884,62209099,62299915,62373739,62597491,62627619,62857676,62887210,62938538,63236474,63318870,63664698,63723033,63729774,63759079,63776688,63827816,63849907,63872529,64161379,64171171,64433564,64518907,64763859,65400519,65680699,65754907,65994620,65997595,66096138,66171859,66184725,66260515,66271066,66494251,67022348,67048315,67075111,67126210,67280844,67389506,67540128,67541498,67580179,67911787,67927719,67965595,68306844,68404219,68458279,68622716,68678664,69063644,69274394,69406951,69443276,69533515,69660970,69670950,70009959,70221979,70273147,70356252,70369987,70385671,70445514,70597040,70630419,70785096,70836487,70965715,71234780,71748774,71806293,71986999,72029239,72038899,72857707,72901639,73030570,73198147,73323034,73690759,73703559,73818547,73968739,73988234,74073715,74109639,74315680,74371778,74387059,74748487,74759898,75045367,75287114,75324008,75341251,75464652,75646280,75777658,75822007,75926307,75982644,76004515,76038725,76069388,76132915,76492939,76774315,76780087,76935811,77101339,77161159,77263497,77403418,77670595,77924307,78007880,78054115,78213379,78286058,78538058,78717459,78969259,79193544,79197114,79294796,79421670,79512618,79633233,79694791,79718732,79839115,79900707,80198588,80256968,80457978,80551452,80778091,81132945,81174199,81558714,81752636,81829459,81871676,81929539,82442984,82501915,82631379,82727240,82742119,83188556,83411420,83418067,83440218,83447386,83456311,83593164,83605140,84015595,84278554,84322099,84716448,84739509,84747207,85102065,85158858,85360858,85383176,85481736,85534519,85886659,86393770,86541808,86836899,86856391,87111116,87266626,87272746,87402279,87636684,87758865,88326979,88601066,88602547,88604371,88619240,88888458,89092737,89178816,89268115,89392315,89427259,89796680,90261466,90289089,90337820,90346759,90436291,90521899,90569379,90698396,90741607,90775536,90879595,91177819,91205418,91246470,91359498,91437607,91595587,91739336,92038179,92129178,92413546,92748357,92751547,92825899,93068145,93130707,93174074,93180967,93204714,93609456,93664938,93691834,93829570,93957211,94078257,94134284,94280419,94358474,94619049,94904458,95006791,95113479,95249419,95306004,95467147,95504647,95806938,95832007,95968136,96056073,96166953,96222247,96590899,96716307,96969319,97014595,97329568,97359534,97379515,97423059,97482919,97739587,98094211,98106499,98229595,98301639,98304499,98901068,98963420,99002298,99085994,99150907,99204680,99217474,99272688,99337819,99348807,99682315,99696645,99780619,99860167,...,158999180694201157102664188990780627386277814833303085972830036480376149921263703175107919596850995729562688303551890734652893850461064315268753767661895027526916393718879132017672159227418382421231585762946565533997718118732924093793460580440781171068218218029681446527656074993682740262888934990560954058817240937773065557794802253036802921254724015075404547039288445979092880801750566928477840336462104917661580506439149395065249843384188550973049826377470966832693606434194176933251631282210669128434487524899323996714477232294394746179730104656163009798330631743830919266530992348341055800469964289401611403738598463473143698395147107393157358392097851917118580072871474838609798132717423864669843130429120380159222602591772861046900107606387901662215322974368903228967421238190290730762517141190393555730257857368082092181623928467413970812559234178705129751037519178072955994671594482787110145260723051984341045576780728982923102540616855971073103136349139200942709407325249959473815323770093250176701631506560330508261077930980860190518360725662695747923269146742354257237061071303745181352710078589570602267288953991096904255325068650142362803751965766683105043388080689055214635331071236197499111024072737030156682734321016205109480766337694802295449510417332383623864511453041228545439424590442942184924217683838450397737512886752440537900191897682493198912423835910844362281352702750236386784067904849316728190320773943248926217801710623030463334331489091335056212559089556084610837480220164589454142822395139133557534603929028104543392354423595790272984017032344350592289744976894226335441783896354358850909806086586566619887246698637336134280467478059775569216052530632067356266444536566958834293784478714149272166791181826442559605706976896120925273316863675145158326814060814771317965112490808221376582659621986728991402409032653248341161025479970382533423249357632590505502848458065588990303301967299167763111386196510346454407311746998669319169424913627097585651652189023239711154519939912298161493221093178295895847980511306294534011161222211902999078665541834839579890761032538283471910558133968503111954593974299596449396826048699941035956984189094930387155800390353210055816937879483010643636301691477743360440049320518869535064396783225419632185328931473695330420695004250484696488848848157412464240824426758355092088069186260029291387234854317029606451074136952639366}
15030   300997304985047739638770677016342776412230896689685466923224657: {195221,255221,330374,704201,780676,840952,913109,946071,1091861,1126275,1181129,1201360,1240601,1321144,1351530,1441632,1486287,1507829,1596761,1621836,1766342,2069849,2123894,2206911,2246729,2423321,2577076,2627275,2658329,2659142,2951369,3152730,3362912,3447701,3709529,3753250,3783276,3883721,3903014,3999689,4080134,4086581,4173401,4317941,4433942,4503900,4519961,4606421,4664021,4723252,4804160,4865369,4914424,5095001,5404680,5467061,5528727,5764992,5792452,5809301,5843414,5866229,5979989,6080265,6148276,6405449,6485616,6800921,6969929,7082441,7296318,7592294,7838549,7940342,8016952,8228309,8277172,8287814,8561141,8644169,8731384,8754761,8920409,9019071,9153974,9223349,9250841,9337732,9497909,9799001,9822807,10153589,10398281,10532342,11209241,11389142,11504789,11641791,11692361,11730854,11802292,11900355,12057784,12092981,12146261,12412181,12465269,12544841,12693712,13336601,13554052,13565007,13599974,13859275,13937942,13990901,14275334,14277209,14280426,14303189,14432969,14458901,14780342,14846921,15135352,15284501,15438389,15540821,15617561,15694229,15922815,15974729,16000181,16228889,16316152,16608629,16631130,16885961,16984336,16986569,17027271,17212469,17587529,17739872,17783174,17861429,17935961,18084809,18109589,18114447,18355671,18420676,18444134,18599055,18603509,18672952,18849269,18938342,19107378,19484501,19557449,19727381,19838992,19957356,20086454,20210741,20553784,20666969,20810441,20929781,21007071,21096521,21239129,21492664,21594389,21641621,21712409,21862276,22229321,22318866,22579541,22649369,22899064,22904789,22913751,23043701,23123007,23216919,23230852,23327894,23367352,23688149,23825429,23939609,24179247,24349001,24575321,24620489,24710729,25004344,25275076,25294169,25546015,25761447,25916441,25982741,26026901,26288271,26357081,26379029,26511734,26669414,26750921,26871352,26970676,27033749,27272009,27278275,27293621,27298694,27455654,27487769,27552341,27595349,28129887,28242955,28300361,28448789,28501624,28550342,28639049,28861814,28933721,28996661,29121279,29143241,29260815,29372789,29622101,29637974,29704949,30014489,30076181,30137801,30199349,30230271,30240341,30340276,30360952,30398151,30424409,30485621,30564614,30655218,30729749,30790601,31093781,31211536,31300179,31355081,31680052,31714649,31754441,31833929,31893461,31933195,31944854,31984504,32064327,32111129,32249141,32406389,32484821,32523989,32679352,32733930,32737855,32858534,32875061,33127001,33165641,33348292,33358361,33373624,33457039,33569429,33684149,33760469,33798581,33891546,33917942,33931721,34026581,34140149,34156071,34159049,34272281,34422809,34473607,34529464,34554101,34916192,35009332,35056841,35060095,35112978,35120054,35333621,35671732,35699861,35866694,35982567,36144952,36164342,36188275,36261209,36297161,36530069,36605944,36637109,36764271,36885749,37143295,37167989,37535321,37545327,37570121,37766787,37778249,37881881,37933589,38002421,38105429,38293529,38310581,38319834,38378342,38700569,38818421,38845647,38952629,38969369,39056511,39280716,39285426,39319061,39400454,39648821,39812501,39853455,40428771,40443209,40571081,40618901,40663071,40666649,40682549,40730201,40825289,41008471,41014601,41093141,41181687,41202761,41306335,41389769,41436341,41744981,41838355,41907076,41928629,41989589,41996342,42065609,42072114,42281894,42442709,42490815,42510352,42517529,42918101,43032952,43064981,43135094,43240687,43269269,43425930,43486409,43529621,43716041,43744601,44141081,44309081,44475929,44517461,44571954,44627861,44751449,44765141,44987559,44996681,45077849,45245414,45323536,45332981,45518354,45618850,45690569,45756149,45873689,46119701,46320992,46388249,46455352,46503835,46540121,46603061,46715849,46914761,47025749,47077252,47149599,47160521,47323334,47487221,47784521,47795770,47824146,47871974,47960501,47995481,48203849,48358276,48398261,48412071,48505551,48713429,48879689,49011401,49033241,49248010,49279087,49368854,49431509,49484489,49562359,49567602,49579349,49634692,49736009,49798169,49829141,49901129,49908854,49953076,49993109,50043494,50085850,50114741,50206026,50255189,50265161,50316664,50543224,50550869,50638169,50647829,50676761,50867801,50980889,50988978,51018329,51102101,51240281,51394709,51484469,51555701,51608789,51647942,51714101,51792329,51857332,51921269,51946841,51970719,51997769,52031561,52073621,52111116,52182041,52262271,52329929,52346201,52491209,52616035,52641461,52664921,52688309,52706054,52773449,52955849,52997055,53008181,53030489,53061850,53140949,53155541,53220809,53234599,53313941,53351619,53356469,53503049,53605589,53624342,53625881,53679641,53699669,53708344,53726261,53765909,53798729,53857301,53876681,53933944,53953481,53991449,54015734,54094119,54122069,54140441,54267029,54378521,54384952,54413129,54441749,54475829,54535574,54592841,54647321,54675807,54742620,54743369,54774809,54867401,54922709,54923942,54942581,54996569,55025609,55040021,55054361,55079695,55087541,55124981,55143509,55157321,55207349,55278389,55338869,55426649,55503029,55568921,55580309,55612815,55636169,55650761,55732181,55745909,55804602,55812629,55841609,55849339,55863701,55869941,55906709,55947652,55953941,56050121,56057909,56075801,56105561,56130475,56154869,56168309,56179289,56185781,56200649,56223221,56229209,56285129,56291131,56305481,56326229,56342729,56360981,56380361,56384021,56397941,56431961,56441369,56447669,56471861,56474069,56474549,56475161,56530192,56591894,56606247,56636152,56861127,57085624,57226934,57354924,58224255,58392128,58583530,59009050,59097612,59280715,59320336,59359142,59370676,59528355,59731094,60093831,60103020,60225014,60421887,60448504,60675687,60915076,60961574,61134639,61183071,61772410,61814342,61936959,62105872,62133315,62452276,63139242,63259814,63496912,63596466,63617942,63674220,63715671,63982276,64109888,64221327,64448534,65026220,65132344,65691144,65908507,66095634,66190495,66275536,66434050,66551942,66687352,66735378,67225287,67267959,67356570,67796152,67919168,68004567,68042054,68227972,68256895,68269142,68460664,68495654,69294351,69345784,69869106,69953942,70224847,70300236,70354300,70508342,70671544,70803370,70810860,70839254,70885555,71112952,71136858,71226052,71342031,71387894,71434026,71524276,71540275,71847008,72123624,72137611,72386335,72904934,73101039,73273887,73734475,73735311,73759142,73902537,74126892,74288342,74559978,74710279,74796519,75023271,75531584,75724082,76060694,76256692,76270671,76409064,76574054,76681887,77018247,77500195,77541835,77672355,77703352,77720452,77891942,78014007,78031464,78192614,78359224,78572095,78591494,79177012,79185494,79200979,79428594,79505487,79720860,79784770,79871942,80002071,80271919,80323384,80541955,80626372,80827884,81139077,81319142,81604694,81908274,81983414,82493275,82547174,82850512,83198342,83395378,83475254,83503492,83777935,83972119,84101055,84425160,84738687,84840374,84886264,84964044,84973032,85035584,85062666,85163372,85383555,85778395,85848330,85851411,85960197,86085254,86329555,86351812,86362359,86804095,86863602,86957174,87200692,87416271,87581991,87785397,87945315,88128184,88154127,88238054,88246300,88481370,88907942,89043475,89321942,89486534,89707792,90053504,90139142,90363807,90570292,91075792,91337942,91571552,92119142,92733734,92894600,93000234,93022599,93050202,93206826,93346612,93489014,93496207,93787094,93808336,93927352,94155010,94173892,94286514,94330815,94380128,94407807,94514266,94557850,94854711,94978305,95086735,95261914,95411239,95497047,95594661,95665032,95741724,96220826,96366134,96520879,96650346,96981734,96984151,97509850,98142002,98271412,98372774,98812852,98991930,99012854,99118495,99139142,99144207,99406599,99638534,99648415,99679864,99882727,99945974,...,238498771041301735653996283486170941079416722249954628959245054720564224881895554762661879395276493594344032455327836101979340775691596472903130651492842541290374590578318698026508238841127573631847378644419848300996577178099386140690190870661171756602327327044522169791484112490524110394333402485841431088225861406659598336692203379555204381882086022613106820558932668968639321202625850392716760504693157376492370759658724092597874765076282826459574739566206450249040409651291265399877446923316003692651731287348985995071715848441592119269595156984244514697495947615746378899796488522511583700704946434102417105607897695209715547592720661089736037588146777875677870109307212257914697199076135797004764695643680570238833903887659291570350161409581852493322984461553354843451131857285436096143775711785590333595386786052123138272435892701120956218838851268057694626556278767109433992007391724180665217891084577976511568365171093474384653810925283956609654704523708801414064110987874939210722985655139875265052447259840495762391616896471290285777541088494043621884903720113531385855591606955617772029065117884355903400933430986645356382987602975213544205627948650024657565082121033582821952996606854296248666536109105545235024101481524307664221149506542203443174265625998575435796767179561842818159136885664413277386326525757675596606269330128660806850287846523739798368635753866266543422029054125354580176101857273975092285481160914873389326702565934545695001497233637002584318838634334126916256220330246884181214233592708700336301905893542156815088531635393685409476025548516525888434617465341339503162675844531538276364709129879849929830870047956004201420701217089663353824078795948101034399666804850438251440676718071223908250186772739663839408560465344181387909975295512717737490221091222156976947668736212332064873989432980093487103613548979872511741538219955573800134874036448885758254272687098383485454952950948751644667079294765519681610967620498003978754137370440646378477478283534859566731779909868447242239831639767443843771970766959441801016741833317854498617998312752259369836141548807425207865837200952754667931890961449394674095239073049911553935476283642395580733700585529815083725406819224515965454452537216615040660073980778304302596595174838129448277993397210542995631042506375727044733273272236118696361236640137532638132103779390043937080852281475544409676611205428959049}
15031   302359334777802580949538824213474626523172689619754991467030221: {15031,495561,735833,975845,1051190,1156001,1171014,1261428,1501700,1651430,1802040,1922176,1981716,2027295,2162448,2432754,2649513,2942548,3185841,3221345,3865614,3988713,4203640,4300121,4729095,5044368,5629875,5674914,5854521,5904065,6005200,6098081,6120201,6143030,6650913,6755850,7014833,7084878,7206240,7240565,7371636,7639961,7685345,7686656,7896041,8107020,8255633,8647488,8688678,8765121,9222414,9728424,10021190,10346465,10550561,10914230,10944477,11106998,11388441,11672165,11860901,11910513,12002441,12025428,12229673,12415758,12431721,13022321,13097076,13243433,13730961,13796081,14006598,14276633,14385209,14752865,14773238,14861294,15072230,15342353,15522388,15798513,15852014,15867140,15922841,16338833,16942565,17024633,17083713,17272853,17328209,17359118,17596281,17703438,17984561,18086676,18292118,18806081,18919190,19040568,19937681,20036681,20072294,20331078,20395190,20399961,20446433,20476133,20720393,20906913,20970641,21230420,21413001,21420639,21878801,21884678,22037774,22170513,22174840,22703028,22944038,23025845,23321702,23341190,23347214,23512433,23543033,23787041,24152596,24474228,24557921,24585041,24697409,24798740,24938921,24946695,25234793,25352561,25476504,25477238,25692230,25963982,25992833,26351561,26565833,26609808,26674761,26865830,26886353,26914262,27125993,27310094,27327845,27631014,27666201,27986441,28009428,28249649,28407513,28594433,28623830,28661067,28801253,29038565,29183921,29201921,29209190,29230982,29758488,29936034,30123398,30129681,30213281,30551668,30830676,30955892,31008374,31255430,31477721,31593845,31604693,31626833,32030201,32141033,32238996,32241521,32443169,32793414,32858729,33478299,33520142,33589190,33713345,34188593,34348596,34846278,34991841,35051028,35627030,36297041,36815441,37078598,37196558,37302758,37337429,37506516,37653833,37874873,37912614,37925345,37951190,37956581,38020694,38828372,39014420,39179129,39202721,39600065,39658094,39767601,39980630,40004121,40305422,40307028,40456014,40530868,40566158,40648433,40849190,40873624,40948041,40993481,41152121,41183481,41605454,41685365,41717030,41733572,42129638,42752436,42784241,42825513,42904334,43161830,43292721,43567214,43645240,43761665,44027081,44225321,44456961,44589665,45156998,45181190,45188728,45361334,45499982,45510414,45541428,45757430,45846921,45876281,45918353,45947078,45982827,46041998,46817304,46994801,47192201,47520078,47536193,47566121,47586833,47917281,47976756,48184721,48627701,48740582,49019028,49100895,49287801,49388174,49463918,49556633,49685801,49949921,50022438,50060436,50251814,50316689,50355716,50837319,50876913,51003809,51093112,51794196,51905294,51953681,52075348,52149161,52374288,52380568,52383845,52513998,52669467,52680081,52854182,52892441,52998998,53082341,53137940,53465333,53507598,53626961,53785409,53791190,53800041,53834261,53905028,54217428,54246513,54342638,54429881,54562574,54646862,54908916,55559798,56007953,56096152,56654420,56749601,56976014,56990801,57479751,57567513,57594758,57901240,57991094,58069190,58351433,58590758,58846565,58921074,58928139,58937633,59100681,59154161,59321633,59429272,59903081,59983412,60383009,60383438,60447845,60677561,61477622,61724801,61837601,62043365,62110361,62223833,62303054,62441345,62860614,62866132,62867801,62895830,62994513,63108171,63179030,63422841,63765528,63967718,64234214,64320833,64549428,64654241,64674068,64702641,64821665,65032529,65138895,65426633,66090136,66336341,66553253,66763814,66857931,66872633,66941368,67135430,67417430,67636409,67868121,67869833,67981190,67985304,67990433,68277531,68428275,68564321,68596769,69294292,69396533,69481488,69683028,69737873,69860033,69934565,70282961,70615878,70662740,70795190,70870841,70985001,71135492,71357030,71693655,71736219,71759729,71807961,71809841,72125492,72126353,72226502,72240881,72494198,72537414,72831881,72901076,72990160,73208201,73872015,73978853,74053281,74067662,74138801,74150420,74213345,74275481,74351403,74376278,74406136,74452038,74693558,74863281,74929614,75065241,75128775,75309039,75372881,75458981,75474996,75560630,75814836,75901409,76143845,76473232,76483467,77112161,77159321,77471913,77632340,77707982,77785998,77795429,77840993,77853281,78065345,78166674,78494318,78648809,78796816,79059081,79371140,79517201,79592775,79691318,79977845,80125108,80137360,80436513,80562516,80900916,81023601,81282775,81415430,81512852,81543374,81577428,81803361,81853481,82082294,82113930,82186433,82241729,82385913,82582612,82621241,82762958,82844420,82927841,83359190,83706903,83837414,83921478,84185656,84635849,84745190,84795288,84887841,84898960,84954228,85284965,85575830,85628436,85807193,85840401,85898213,86032386,86164529,86506901,86682230,86923118,87219881,87240101,87414953,87487241,87588192,87875295,87921614,87942875,88042094,88127512,88339121,88339430,88513575,88646418,88891190,88980504,88994678,89032565,89038713,89056014,89405345,89445761,89555414,89596641,89633716,89690612,89808760,89831654,90154530,90337521,90358913,90672756,90754169,91104134,91269974,91372614,91442361,91607909,91616033,91855721,92392468,92396633,92658615,92721513,92764721,93158808,93285014,93409361,93678414,93704438,93733648,93851201,93867641,93976694,94140902,94184753,94193678,94414480,94708863,94849144,94869221,94889721,95059598,95122708,95151833,95245368,95320865,95324009,95394699,95426913,95511330,95575793,95973414,96164832,96247574,96603893,96620633,96672801,97129190,97146401,97150565,97346921,97468052,97496033,97525358,97539330,97569398,97698516,97949030,98056409,98313748,98536716,98619638,98786894,98835856,98971265,99088841,99143451,99202661,99352001,99413304,99651075,99728692,99827913,99874049,99948113,99962081,...,317998361388402314205328377981561254772555629666606171945660072960752299842527406350215839193701991459125376607103781469305787700922128630537507535323790055053832787437758264035344318454836764842463171525893131067995436237465848187586921160881562342136436436059362893055312149987365480525777869981121908117634481875546131115589604506073605842509448030150809094078576891958185761603501133856955680672924209835323161012878298790130499686768377101946099652754941933665387212868388353866503262564421338256868975049798647993428954464588789492359460209312326019596661263487661838533061984696682111600939928578803222807477196926946287396790294214786314716784195703834237160145742949677219596265434847729339686260858240760318445205183545722093800215212775803324430645948737806457934842476380581461525034282380787111460515714736164184363247856934827941625118468357410259502075038356145911989343188965574220290521446103968682091153561457965846205081233711942146206272698278401885418814650499918947630647540186500353403263013120661016522155861961720381036721451325391495846538293484708514474122142607490362705420157179141204534577907982193808510650137300284725607503931533366210086776161378110429270662142472394998222048145474060313365468642032410218961532675389604590899020834664767247729022906082457090878849180885884369848435367676900795475025773504881075800383795364986397824847671821688724562705405500472773568135809698633456380641547886497852435603421246060926668662978182670112425118179112169221674960440329178908285644790278267115069207858056209086784708847191580545968034064688701184579489953788452670883567792708717701819612173173133239774493397274672268560934956119551138432105061264134712532889073133917668587568957428298544333582363652885119211413953792241850546633727350290316653628121629542635930224981616442753165319243973457982804818065306496682322050959940765066846498715265181011005696916131177980606603934598335526222772393020692908814623493997338638338849827254195171303304378046479422309039879824596322986442186356591791695961022612589068022322444423805998157331083669679159781522065076566943821116267937006223909187948599192898793652097399882071913968378189860774311600780706420111633875758966021287272603382955486720880098641037739070128793566450839264370657862947390660841390008500969392977697696314824928481648853516710184176138372520058582774469708634059212902148273905278732}
15032   303727478367578808185264272401356306966548567842511710422749672: {285247,390442,510442,660748,1408402,1537687,1561352,1576785,1626607,1681904,1756521,1826218,1877125,1892142,2183722,2252550,2362258,2402720,2423647,2477145,2481202,2642288,2688031,2703060,2883264,2972574,3015658,3127231,3193522,3243672,3532684,3649131,3678185,4139698,4247788,4413822,4493458,4846642,5124367,5154152,5254550,5316658,5318284,5553487,5798421,5902738,6305460,6406327,6725824,6895402,7251967,7419058,7506500,7566552,7767442,7806028,7999378,8160268,8173162,8257231,8346802,8512371,8635882,8673031,8838847,8867884,9007800,9039922,9087031,9212842,9214545,9252127,9328042,9446504,9608320,9730738,9828848,9909631,10133775,10155007,10190002,10562527,10627317,10725031,10809360,10934122,11057454,11529984,11533231,11584904,11618602,11686828,11732458,11959978,12160530,12174607,12296552,12493567,12810898,12971232,13033017,13601842,13833621,13939858,14164882,14305231,14460967,14592636,14926447,15031785,15184588,15677098,15696487,15880684,16002487,16033904,16371345,16456618,16554344,16575628,16611031,16660497,17122282,17288338,17462768,17509522,17840818,17888887,18038142,18112231,18307948,18446698,18501682,18623637,18675464,18995818,19072567,19402985,19598002,19645614,19833925,20307178,20796562,21009897,21064684,21739231,22159857,22291941,22418482,22582927,22608345,22778284,22931407,23009578,23139631,23283582,23384722,23461708,23604584,23622967,23778021,23800710,24115568,24185962,24292522,24511231,24646807,24824362,24930538,25089682,25320367,25387424,26038677,26052967,26383087,26538025,26555157,26645887,26673202,27108104,27130014,27199948,27297847,27438177,27621127,27718550,27875884,27981802,28006687,28262287,28378785,28550668,28554418,28560852,28606378,28770031,28865938,28917802,28959247,29210527,29398231,29560684,29693842,30108441,30190745,30270704,30496617,30569002,30592785,30876778,30998425,31081642,31235122,31388458,31540231,31845630,31949458,32000362,32457778,32632304,32827017,32899807,33056661,33190327,33217258,33262260,33594031,33771922,33968672,33973138,34054542,34164631,34416057,34424938,34982553,35011785,35020821,35175058,35479744,35566348,35722858,35764421,35871922,36169618,36219178,36228894,36643231,36711342,36803287,36841352,36888268,37068607,37198110,37207018,37345904,37593847,37698538,37876684,38189585,38214756,38215857,38317087,38538345,38694865,38724031,38825047,38945973,38969002,38976031,39076327,39114898,39454762,39540137,39677984,39914712,40172908,40298745,40371393,40421482,40594087,40689631,40965141,41107568,41333938,41446521,41620882,41859562,42014142,42179167,42193042,42478258,42629527,42935745,42985328,43188778,43283242,43424818,43551847,43724552,43813785,43846473,44458642,44637732,44706473,44773327,44904051,45018487,45159082,45185097,45298738,45501031,45777727,45798128,45809578,45827502,45832997,45895231,46087402,46246014,46433838,46461704,46512561,46655788,46734704,46883145,47376298,47508247,47650858,47879218,48004687,48350647,48358494,48535465,48698002,48722887,48768025,48889207,49053727,49084133,49150642,49190121,49240978,49421458,49818367,50008688,50124727,50275207,50280213,50383785,50453407,50550152,50588338,50658031,50663585,51092030,51522894,51832882,51965482,52000613,52053802,52067647,52092847,52143031,52166965,52269417,52510231,52576542,52699447,52714162,52758058,52974631,53023468,53130367,53152327,53338828,53367967,53440545,53501842,53514631,53718031,53742704,53817031,53941352,53952607,54067498,54459631,54544018,54556550,54587242,54597388,54787231,54833887,54911308,54940231,54975538,55014031,55104682,55114327,55190698,55356031,55394047,55597231,55617897,55789687,55794837,55829287,55923247,55954137,56010007,56034631,56074231,56259774,56262727,56290447,56362807,56415727,56447407,56456767,56463031,56475127,56479231,56485910,56487007,56600722,56868921,56897578,56926785,57003248,57031041,57100684,57278098,57723628,57828869,57867442,57993322,58238921,58242558,58286482,58521630,58573697,58745578,59244202,59275948,59409898,59487141,59497493,59970945,60028978,60152362,60275602,60398698,60458133,60460542,60480682,60680552,60684021,60721904,60796302,60848818,60849237,60971242,61129228,61273785,61310436,61459498,61581202,62187562,62408181,62423072,62575545,62600358,62710162,62913617,62944645,63194457,63360104,63429298,63508882,63667858,63786922,63866390,63889708,63969008,64128654,64222258,64356501,64498282,64742745,64812778,64969642,65047978,65094185,65105369,65350821,65358704,65467860,65475710,65717068,65750122,66254002,66331282,66422425,66696584,66716722,66747248,66914078,67138858,67368298,67381285,67520938,67597162,67735497,67771785,67783092,67835884,67863442,68042001,68053162,68249973,68265621,68280298,68312142,68318098,68544562,68636145,68845618,68920617,68947214,69058928,69062997,69108202,69832384,70018664,70113682,70120190,70225956,70240108,70667242,70818025,71280117,71343464,71399722,71733388,71965134,72289904,72328684,72376550,72522418,72594322,73060138,73110873,73211888,73274218,73528542,73662449,73771498,74082261,74195877,74261209,74286590,74335978,74979265,75033657,75070642,75090654,75140242,75377721,75533574,75556498,75763762,75867178,76004842,76210858,76587058,76621162,76639668,76756684,77111573,77401138,77636842,77691294,77857941,77905258,77938738,78113022,78561432,78570852,78582665,78638122,78770997,78800908,79281273,79297642,79498497,79625002,79706910,80261397,80686785,80842585,80857542,80886418,81142162,81237802,81326142,81333298,81365098,81460402,81513957,81650578,81843861,81970293,82016942,82029202,82186282,82363374,82405522,82612670,82779538,82872682,82993001,83339697,83489962,83676710,83814152,83857258,83979178,83992684,84131218,84144228,84563788,84885418,84981630,85020704,85035058,85464021,85836202,86065904,86129962,86270188,86392137,86481374,86538538,86617865,86851860,86972818,86986641,87059242,87103785,87432082,87489202,87886137,88282162,88328425,88381611,88618162,88919365,88951858,89034922,89143908,89255722,89502898,89530282,89975118,89993362,90155698,90156865,90490828,90575157,90647072,90665962,91036708,91126345,91237700,91381138,91512298,91747378,92216433,92239402,92641984,92666693,92688025,92776498,92910704,93007670,93080242,93206122,93431698,93454581,93601157,93829522,94051498,94154504,94290921,94299198,94321042,94343745,94646668,94768545,94974442,95559653,95569042,95591540,95648292,95743948,95919241,95921002,95951577,95990962,96351321,96407698,96716552,96796522,96824142,97011102,97040425,97426858,97759378,98022802,98066482,98496020,98558174,98737708,98863018,98968978,99124718,99135204,99158698,99213925,99239777,99269384,99472018,99596338,99658282,99802258,99817708,99906152,99986218,...,476997542082603471307992566972341882158833444499909257918490109441128449763791109525323758790552987188688064910655672203958681551383192945806261302985685082580749181156637396053016477682255147263694757288839696601993154356198772281380381741322343513204654654089044339582968224981048220788666804971682862176451722813319196673384406759110408763764172045226213641117865337937278642405251700785433521009386314752984741519317448185195749530152565652919149479132412900498080819302582530799754893846632007385303462574697971990143431696883184238539190313968489029394991895231492757799592977045023167401409892868204834211215795390419431095185441322179472075176293555751355740218614424515829394398152271594009529391287361140477667807775318583140700322819163704986645968923106709686902263714570872192287551423571180667190773572104246276544871785402241912437677702536115389253112557534218867984014783448361330435782169155953023136730342186948769307621850567913219309409047417602828128221975749878421445971310279750530104894519680991524783233792942580571555082176988087243769807440227062771711183213911235544058130235768711806801866861973290712765975205950427088411255897300049315130164242067165643905993213708592497333072218211090470048202963048615328442299013084406886348531251997150871593534359123685636318273771328826554772653051515351193212538660257321613700575693047479596737271507732533086844058108250709160352203714547950184570962321829746778653405131869091390002994467274005168637677268668253832512440660493768362428467185417400672603811787084313630177063270787370818952051097033051776869234930682679006325351689063076552729418259759699859661740095912008402841402434179326707648157591896202068799333609700876502881353436142447816500373545479327678817120930688362775819950591025435474980442182444313953895337472424664129747978865960186974207227097959745023483076439911147600269748072897771516508545374196766970909905901897503289334158589531039363221935240996007957508274740881292756954956567069719133463559819736894484479663279534887687543941533918883602033483666635708997235996625504518739672283097614850415731674401905509335863781922898789348190478146099823107870952567284791161467401171059630167450813638449031930908905074433230081320147961556608605193190349676258896555986794421085991262085012751454089466546544472237392722473280275065276264207558780087874161704562951088819353222410857918098}
15033   305101762977122783491320379991411002079466528273525298112413639: {30062,585663,765663,825935,991122,1366183,1471666,1951690,2102380,2112603,2312002,2342028,2522856,2739327,2838213,3003400,3275583,3302860,3378825,3543387,3604080,3721803,3844352,3963432,4054590,4324896,4415855,4458861,4509883,4523487,4790283,4865508,5299026,5309735,5885096,6209547,6371682,6442690,6620733,6647855,6740187,7206823,7269963,7731228,7881825,7974987,7977426,8265691,8407280,8600242,8726927,8824987,8854107,9383125,9458190,9757535,10088736,10136791,10200335,10343103,10759483,11084855,11128587,11259750,11349828,11651163,11676731,11709042,11808130,11960231,11999067,12010400,12196162,12240402,12259743,12286060,12520203,12953823,13301826,13511700,13559883,13639307,13819263,13992063,14029666,14115767,14169756,14184703,14412480,14481130,14485051,14596107,14608535,14743272,15001871,15279922,15285003,15370690,15373312,15792082,16214040,16341031,16401183,16511266,16586181,17294976,17377356,17427903,17530242,17598687,17939967,18232583,18240795,18444828,18817903,18980735,19027531,19216347,19456848,19850855,20042380,20288507,20386391,20402763,20654011,20692930,20719535,20909787,21101122,21247323,21457931,21828460,21888954,22213996,22776882,22884935,22979687,23344330,23515647,23719591,23721802,23821026,24004882,24050856,24395387,24459346,24684927,24831516,24863442,25132631,25683423,25932507,26044642,26194152,26264283,26330855,26486866,26761227,27057213,27461922,27592162,27637003,27670047,27752523,28013196,28472855,28493727,28553266,28770418,29187847,29225867,29327135,29397003,29468421,29505730,29546476,29722588,30144460,30460767,30684706,31044776,31159931,31194843,31597026,31704028,31734280,31845682,32236183,32462447,32677666,33000251,33627723,33784327,33885130,33999935,34049266,34167426,34514367,34545706,34653191,34656418,34718236,34844855,34925373,35077083,35192562,35406876,35688335,35701065,35922331,35969122,36173352,36278943,36438783,36546427,36584236,36950855,37008991,37200943,37236543,37395807,37612162,37634523,37658111,37838380,38081136,38258983,38341927,38717303,38864507,39158767,39875362,40009803,40073362,40144588,40307023,40653991,40662156,40695021,40782731,40790380,40799922,40892866,40952266,41440786,41577825,41813826,41941282,41972703,42460840,42697787,42826002,42831627,42841278,42896503,42909567,42993163,43298907,43376703,43653263,43654127,43757602,43769356,44075548,44231383,44341026,44349680,44457935,44540763,44830427,45406056,45564431,45853503,45888076,45993547,46051690,46110335,46225391,46302607,46315167,46622463,46643404,46682380,46694428,46852683,47024866,47082687,47086066,47198683,47345855,47574082,47768445,47924187,48000543,48305192,48686667,48797807,48948456,49115842,49170082,49394818,49597480,49825887,49877842,49893390,50216135,50469586,50657883,50705122,50953008,50954476,50959707,51081813,51384460,51637407,51927964,51985666,52703122,52762587,53095483,53131666,53219616,53349522,53584287,53731660,53772706,53807883,53828524,54217423,54251986,54254427,54328767,54343341,54348607,54620188,54655690,55067013,55262028,55332402,55440091,55797165,55810527,55972882,56018856,56499298,56547807,56815026,56959727,57011963,57188866,57247660,57322134,57602506,58077130,58319735,58359511,58367842,58403842,58418380,58453503,58461964,58555463,58672347,58719583,59066591,59182143,59516976,59872068,60039271,60246796,60259362,60426562,60632223,61059227,61103336,61266331,61661352,61663631,61674107,61911784,62000907,62016748,62314151,62425531,62431323,62510860,62614607,62789343,62955442,63021213,63187690,63209386,63253666,63289563,63717387,64060402,64282066,64326223,64477992,64482071,64483042,64493231,64783167,64886338,64924863,65137227,65531903,65586828,65717458,65934523,65960663,66279335,66673535,66687963,66956598,67040284,67117703,67178380,67426690,67438031,67738623,67948107,68246735,68377186,68639135,68697192,68714367,68741253,68934407,69131103,69175931,69369021,69517531,69650757,69692556,69869431,69909463,69983682,70102056,70240847,71064447,71254060,71375855,71476287,71818827,72154535,72537741,72594082,72921227,73047003,73335263,73337383,73630882,73725963,73838831,73861467,74094935,74132187,74157196,74393116,74407127,74605516,74674858,74826491,75013032,75065531,75307666,75749746,75825228,75850690,75882507,75902380,75913162,76041388,76411535,76627067,76638045,77182043,77284341,77560831,77656744,77749323,77948223,78028840,78080703,78358258,78405442,78796891,78864813,79071243,79137087,79200130,79208587,79212911,79316188,79332823,79535202,79647287,79862135,79961260,80008242,80252763,80333627,80610844,80614056,80912028,81061736,81101247,81132316,81196187,81296866,81698380,81747248,81816027,81834825,81880863,81896082,81986962,82049207,82146335,82304242,82366962,82385191,82463307,82657023,82786047,83160631,83210908,83370730,83434060,83467144,84259276,84389661,84626983,84728865,84794855,84901083,85203707,85346367,85504872,85568482,85651026,85808668,85917147,86323660,86518783,86532431,86585442,86801163,86860711,86989983,87134428,87204983,87290480,87363837,87417883,87429723,87523330,87618583,87681947,87782445,87800135,88054162,88118367,88450642,88764427,88866303,88913922,89038463,89114847,89179330,89204603,89451671,89666735,90043467,90228543,90313996,90362380,90377456,90410855,90413403,90598047,90675887,90690813,90721023,90722668,90750331,90999964,91020828,91082856,91194453,91202567,91273227,91456863,91514860,91693842,91752562,91836706,91894156,91965654,92008423,92083996,92189247,92341387,92371803,93281343,93421927,93634608,93855371,93900537,93989602,94065243,94384402,95033147,95040156,95072386,95132242,95143947,95173666,95263323,95275463,95501787,95680383,95799585,95834562,95945855,95953512,96192981,96333387,96369442,96633631,96728351,96747423,97219167,97255402,97454463,97481164,97571967,97908391,98038056,98201790,98213565,98501135,98575602,98625183,98776348,98927836,99113266,99177863,99371602,99381003,99496923,99807647,99899842,...,715496313123905206961988850458512823238250166749863886877735164161692674645686664287985638185829480783032097365983508305938022327074789418709391954478527623871123771734956094079524716523382720895542135933259544902989731534298158422070572611983515269806981981133566509374452337471572331183000207457524293264677584219978795010076610138665613145646258067839320461676798006905917963607877551178150281514079472129477112278976172277793624295228848479378724218698619350747121228953873796199632340769948011077955193862046957985215147545324776357808785470952733544092487842847239136699389465567534751102114839302307251316823693085629146642778161983269208112764440333627033610327921636773744091597228407391014294086931041710716501711662977874711050484228745557479968953384660064530353395571856308288431327135356771000786160358156369414817307678103362868656516553804173083879668836301328301976022175172541995653673253733929534705095513280423153961432775851869828964113571126404242192332963624817632168956965419625795157341779521487287174850689413870857332623265482130865654711160340594157566774820866853316087195353653067710202800292959936069148962808925640632616883845950073972695246363100748465858989820562888745999608327316635705072304444572922992663448519626610329522796877995726307390301538685528454477410656993239832158979577273026789818807990385982420550863539571219395105907261598799630266087162376063740528305571821925276856443482744620167980107697803637085004491700911007752956515903002380748768660990740652543642700778126101008905717680626470445265594906181056228428076645549577665303852396024018509488027533594614829094127389639549789492610143868012604262103651268990061472236387844303103199000414551314754322030154213671724750560318218991518225681396032544163729925886538153212470663273666470930843006208636996194621968298940280461310840646939617535224614659866721400404622109346657274762818061295150456364858852846254934001237884296559044832902861494011936262412111321939135432434850604578700195339729605341726719494919302331531315912300878325403050225499953563495853994938256778109508424646422275623597511602858264003795672884348184022285717219149734661806428850927186742201101756589445251176220457673547896363357611649845121980221942334912907789785524514388344833980191631628986893127519127181134199819816708356089083709920412597914396311338170131811242556844426633229029833616286877147}
15034   306482215949419953417456297111224174648137400842775715187391840: {45093,255289,570494,780884,1020884,1240933,1321496,1486683,2040889,2207499,2482789,2627975,2816804,2835013,2927535,3075374,3122704,3153570,3253214,3363808,3468003,3513042,3652436,3710533,3754250,3784284,3884773,4128575,4145593,4319113,4367444,4505100,4578853,4665289,4724516,4805440,4847294,4954290,4962404,5149459,5284576,5376062,5406120,5766528,5867833,5945148,6031316,6081885,6254462,6387044,6463813,6487344,7065368,7140613,7298262,7356370,7948539,8279396,8480389,8495576,8827644,8986916,9308389,9557523,9664035,9693284,10248734,10308304,10509100,10633316,10636568,11106974,11596842,11749189,11805476,11966139,12149689,12468793,12610920,12812654,12900363,13340389,13419193,13451648,13733689,13790804,13812133,14187285,14503934,14838116,15013000,15133104,15357575,15365893,15534884,15612056,15979333,15998756,16320536,16346324,16512313,16514462,16693604,16889625,17024742,17271764,17346062,17563563,17567689,17642533,17677694,17712195,17735768,18015600,18079844,18174062,18294243,18360603,18425684,18429090,18504254,18656084,18893008,19216640,19461476,19657696,19819262,19952739,20071993,20267550,20310014,20380004,20433253,21044499,21125054,21150373,21254634,21292933,21450062,21618720,21648073,21721695,21868244,21930889,22114908,22282789,22632889,22911673,22919883,23056035,23059968,23066462,23169808,23237204,23373656,23464916,23688123,23919956,24321060,24349214,24356389,24593104,24627973,24766899,24987134,25033189,25052975,25100473,25301893,25621796,25942464,26034889,26066034,26295363,26365189,26955193,27164179,27203684,27280453,27285575,27603913,27667242,27767495,27879716,28329764,28372873,28610462,28690213,28921934,29185272,29852894,30063570,30126793,30249913,30369176,30556453,31039395,31354196,31392974,31645093,31651683,31761368,31764613,32004974,32067808,32534473,32651833,32742690,32833431,32885689,32913236,33108688,33151256,33176389,33222062,33320994,33407653,33809593,34165323,34244564,34576676,34602889,34925536,35016495,35019044,35437189,35582703,35681636,35731539,35766373,35777774,36007323,36076284,36224462,36309253,36615896,36689019,36893396,36933095,37003364,37153235,37247274,37295163,37320889,37350928,37582789,37680575,37894693,37991636,38049673,38145134,38306533,38357689,38805970,39066963,39196004,39291228,39630035,39662473,39667850,39730299,40614356,41192883,41342053,41388243,41593124,42019794,42129368,42267043,42397753,42829899,42844873,43153573,43155627,43397795,43478462,43545289,43760389,44185189,44258595,44319714,44583882,44836964,45165854,45216690,45556568,45730295,45851593,45862814,46019156,46027059,46279262,46567164,46769444,46920073,46923416,47209168,47245934,47297975,47395539,47556042,47601420,47684389,47768523,48231136,48245413,48371924,48519013,48585044,48586693,48687673,48754633,49016499,49022462,49052389,49293614,49503973,49648724,49817893,49861076,49879813,50002789,50033353,50179364,50180735,50640734,50774848,50827695,50888389,50987975,51073899,51251139,51279493,51818559,51984627,52077354,52105934,52368133,52441033,52575347,52726153,52766174,52788843,53045689,53076050,53110314,53178313,53243653,53291774,53346404,53351113,53465419,53581189,53601673,53762953,53880889,53953683,54172811,54216208,54260028,54399896,54500233,54595694,54698953,54711695,54762889,54778693,54876354,54992389,55094435,55150393,55242254,55437100,55452613,55513273,55751768,55896889,55933753,55963604,55978213,55995493,56013374,56077573,56138053,56145289,56180389,56353189,56371333,56400313,56411653,56418243,56461189,56470693,56500933,56501689,56504389,56505289,56524574,56757570,57101336,57108836,57121704,57212756,57360095,57540062,57731876,57835604,57918494,58304255,58352975,58368035,58421054,58796462,59121368,59387684,59813043,60110043,60216882,60381490,60541408,60993234,61138004,61185570,61199883,61339299,61428399,61753556,61996850,62161179,62163284,62470244,62720739,62776916,62911923,63080462,63691260,63693095,63898916,64000724,64230575,64239003,64261917,64441883,64909955,64915556,65264608,65636403,65654034,65799614,66113322,66380654,66434516,66511539,66524520,67164575,67188062,67285655,67543844,67937344,67946276,67949651,68109084,68275235,68329262,68832114,68849876,69077535,69965106,70023570,70041642,70315219,70350116,70537299,70629099,70929019,70959488,71132696,71361123,71445716,71528842,71559575,71743844,72339236,72438356,72457788,73022975,73033751,73077455,73286462,73422684,73606574,73611479,73673763,73682704,73755123,73776536,74092227,74137214,74396220,74414036,74691808,74816763,74840085,75187694,75308495,75397076,75704379,75753368,76057683,76379170,76429512,76431714,76634174,77076690,77389730,77448062,77520935,77650094,77883707,77891946,77938004,77952062,77978499,78138575,78152654,78229796,78909524,79054683,79080274,79355968,79697499,79829424,80024283,80345816,80597490,80659059,80742786,80842964,81188174,81377979,81379262,81930282,81983535,82215136,82667876,82893042,82998603,83241764,83719124,83800355,83959323,83972975,84028284,84358334,84386084,84748947,84956516,85222539,85259054,85783299,85871490,85970656,85983201,86377556,86403759,86566484,86849636,87103694,87115695,87449104,87551763,87605763,87627570,87692946,87763247,88122503,88917284,89067575,89275464,89412946,89546654,89808102,90036974,90318164,90370194,90389043,90597476,90639843,91002062,91131859,91555454,91596256,91619156,91655004,91665994,91790462,92174804,92492028,92696495,92867676,92923408,92991395,93025122,93256895,93311576,93469408,93766290,94333799,94433163,94752596,94781535,94814079,94877975,94880499,95016494,95051735,95301716,95758436,96009374,96090603,96423099,96701294,96716988,96724563,97070930,97329507,97396004,97445774,97536050,97778414,98107454,98168266,98301284,98380242,98481956,98576187,98842916,99145235,99636734,99951575,...,953995084165206942615985133944683764317666888999818515836980218882256899527582219050647517581105974377376129821311344407917363102766385891612522605971370165161498362313274792106032955364510294527389514577679393203986308712397544562760763482644687026409309308178088679165936449962096441577333609943365724352903445626638393346768813518220817527528344090452427282235730675874557284810503401570867042018772629505969483038634896370391499060305131305838298958264825800996161638605165061599509787693264014770606925149395943980286863393766368477078380627936978058789983790462985515599185954090046334802819785736409668422431590780838862190370882644358944150352587111502711480437228849031658788796304543188019058782574722280955335615550637166281400645638327409973291937846213419373804527429141744384575102847142361334381547144208492553089743570804483824875355405072230778506225115068437735968029566896722660871564338311906046273460684373897538615243701135826438618818094835205656256443951499756842891942620559501060209789039361983049566467585885161143110164353976174487539614880454125543422366427822471088116260471537423613603733723946581425531950411900854176822511794600098630260328484134331287811986427417184994666144436422180940096405926097230656884598026168813772697062503994301743187068718247371272636547542657653109545306103030702386425077320514643227401151386094959193474543015465066173688116216501418320704407429095900369141924643659493557306810263738182780005988934548010337275354537336507665024881320987536724856934370834801345207623574168627260354126541574741637904102194066103553738469861365358012650703378126153105458836519519399719323480191824016805682804868358653415296315183792404137598667219401753005762706872284895633000747090958655357634241861376725551639901182050870949960884364888627907790674944849328259495957731920373948414454195919490046966152879822295200539496145795543033017090748393533941819811803795006578668317179062078726443870481992015915016549481762585513909913134139438266927119639473788968959326559069775375087883067837767204066967333271417994471993251009037479344566195229700831463348803811018671727563845797578696380956292199646215741905134569582322934802342119260334901627276898063861817810148866460162640295923113217210386380699352517793111973588842171982524170025502908178933093088944474785444946560550130552528415117560175748323409125902177638706444821715836196}
15035   307868864748221652436141184218342252585225927346292342169360904: {60124,855741,976105,1156309,1171326,1276105,1531326,1651870,1816573,1982244,2732366,2943332,3521005,3903380,4204760,4225206,4565545,4613061,4624004,4684056,4730355,4879821,5045712,5269563,5459305,5478654,5631375,5676426,5905645,6006800,6182197,6203005,6551166,6605720,6757333,6757650,7086774,7208160,7270941,7431435,7433629,7443606,7539145,7688704,7926864,7983805,8064093,8109180,8649792,8831710,8917722,9019766,9046974,9306997,9381693,9580566,9731016,9993661,10313641,10349245,10598052,10619470,10947393,11023309,11034555,11233645,11770192,12005653,12116605,12419094,12743364,12885380,13136375,13241466,13291645,13295710,13367317,13480374,13660549,13799773,14280469,14413646,14539926,14756845,14804341,15373101,15462456,15510409,15518797,15763650,15949974,15954852,16061737,16119181,16531382,16579453,16660461,16766797,16814560,17029189,17200484,17238505,17395263,17453854,17649974,17708214,18041029,18547645,18766250,18916380,19218981,19418605,19515070,19998445,20063077,20177472,20273582,20400670,20432905,20451949,20686206,20811109,20867005,20976253,21518966,21589705,21755901,21792349,22169710,22257174,22434709,22519500,22587577,22599805,22689769,22699656,23032105,23302326,23320105,23353462,23418084,23616260,23920462,23998134,24020800,24326845,24392324,24480804,24519486,24564493,24572120,24771693,25040406,25082581,25359373,25475005,25537113,25574317,25675309,25907646,25999789,26019093,26358613,26516541,26573029,26603652,27023400,27119766,27261093,27278614,27335305,27638526,27643635,27756381,27791197,27984126,28059332,28231534,28261453,28339512,28369406,28499461,28802869,28824960,28962260,28970102,29007349,29026477,29046505,29192214,29217070,29331145,29486544,29552413,29728893,29899945,30003742,30401325,30465021,30547381,30559844,30570006,30741380,30746624,31486213,31584164,31687581,31881951,32027245,32038909,32130109,32149669,32175093,32428080,32611837,32682062,32802366,33022532,33153349,33172362,34004605,34045981,34380973,34539661,34589952,34599693,34754712,34849645,34855806,35060484,35159077,35197374,35412205,35879934,35919661,36465166,36481590,36523821,36825373,36863197,36889656,36948109,37480701,37635806,37663177,37961470,38055062,38163589,38432694,38730037,38913696,39099051,39189733,39192745,39701710,39861997,40084760,40577014,40772782,40805526,41057989,41141545,41308022,41385860,41398117,41439070,41500863,41746309,41819574,41935561,42088477,42161989,42202244,42494646,42805705,42915693,42915862,43220845,43382901,43440853,43656920,43773805,43777908,43978693,44427992,44602045,44779341,44934109,45095355,45553764,45769870,45888733,45930781,45959374,46116745,46254205,46664221,46688660,47031294,47089417,47089461,47439182,47443604,47478013,47489545,47599909,47642052,48007461,48009764,48101712,48143269,48197773,48782797,48788941,48790774,48918692,48995005,49114035,49369854,49413349,49635529,49663032,49699309,49726884,49833093,49963669,49981491,50265262,50333173,50461021,50767945,51366846,51591241,51731197,51865014,51991405,52089284,52163173,52388304,52528566,52661710,52973732,53522454,53666661,53848873,54114426,54336693,54799357,54923844,55184324,55274006,55340094,55505046,55670089,55870911,56026392,56046205,56945710,56987454,57106532,57217701,57523945,57540836,58208955,58375694,58451734,58461805,58654270,58794006,58936842,58953469,59011460,59074537,59092952,59170309,59245369,59445176,59501775,59928877,60047077,60288920,60464905,60731305,60921534,61369412,61741453,62060905,62089552,62241109,62319862,62326345,62389686,62724205,62884693,63010789,63029691,63140149,63194052,63408056,63468560,63691364,63876109,64472366,64554469,64671613,64924894,65108653,65217693,65309269,65355332,65444341,66000502,66284197,66479571,66683005,66875823,67255446,67316041,67568654,67748781,67770260,67799101,67825035,67888069,67939429,67999870,68098532,68334852,68794221,69028734,69091412,69185413,69296375,69306382,69312836,69415369,69418893,69434917,69436472,69496933,69689710,69850746,69954505,70154166,70162861,70302589,70385124,70398649,70668589,70813752,70865029,70868901,71334063,71376670,71386045,71402130,71515945,71844662,71938244,72060349,72068197,72164845,72294505,72297061,72346704,72557886,72877566,72887581,73092854,73168472,73533693,73720741,73848973,73901710,73940421,73999081,74017982,74159173,74234605,74401886,74473086,74779309,74791614,75224324,75269046,75316222,75371917,75393133,75676760,75961101,76162272,76219273,76225117,76422505,76517966,76683854,76966957,77180053,77191945,77412469,77434606,77704105,77729014,77862061,77874709,78087805,78116031,78158901,78171637,78317534,78471145,78492733,79149261,79200661,79538653,79614075,79665471,79750724,79873645,79937661,80000905,80019606,80146724,80289176,80614046,81144445,81224461,81307982,81324312,81390042,81565462,81580760,81599844,81647629,81753373,81785732,81875653,81893541,81904532,81962941,82314531,82863381,82881572,82908361,83043145,83116693,83155650,83627652,83882564,83945406,84020061,84429805,84786861,84921680,84932845,85136355,85152517,85395574,85652004,85663254,85682556,85793006,85819134,85986326,86062345,86310093,86597814,86753406,86877741,87031177,87264073,87306526,87308254,87515204,87538712,87631581,87707773,87937645,88151096,88194693,88462766,88532077,88682052,88699360,88723477,88915870,89050441,89081526,89307145,89556973,89660854,89679805,90151861,90325323,90424045,90547945,90559261,90572235,90812112,91128862,91489851,91640749,91695109,91707006,91776152,91778355,91880653,91893013,91987094,92103380,92220670,92450782,92605214,92630334,92791069,92995275,93017545,93219709,93244926,93286808,93342949,93364760,93388856,93705366,93867997,94049732,94133413,94165374,94172132,94246345,94319077,94397366,94620693,94691710,94939741,95099101,95148164,95206453,95350453,95536890,95545429,95601661,95609677,95625589,95848374,96001086,96094789,96610384,96712717,96741577,97036909,97173373,97290157,97373334,97422505,97595614,97780309,97787245,97896912,98231684,98340164,98481051,98636905,98677129,98699421,98789636,99115573,99169983,99194960,99570981,99651774,99755684,99786780,99926197,99975397,...,1430992626247810413923977700917025646476500333499727773755470328323385349291373328575971276371658961566064194731967016611876044654149578837418783908957055247742247543469912188159049433046765441791084271866519089805979463068596316844141145223967030539613963962267133018748904674943144662366000414915048586529355168439957590020153220277331226291292516135678640923353596013811835927215755102356300563028158944258954224557952344555587248590457696958757448437397238701494242457907747592399264681539896022155910387724093915970430295090649552715617570941905467088184975685694478273398778931135069502204229678604614502633647386171258293285556323966538416225528880667254067220655843273547488183194456814782028588173862083421433003423325955749422100968457491114959937906769320129060706791143712616576862654270713542001572320716312738829634615356206725737313033107608346167759337672602656603952044350345083991307346507467859069410191026560846307922865551703739657928227142252808484384665927249635264337913930839251590314683559042974574349701378827741714665246530964261731309422320681188315133549641733706632174390707306135420405600585919872138297925617851281265233767691900147945390492726201496931717979641125777491999216654633271410144608889145845985326897039253220659045593755991452614780603077371056908954821313986479664317959154546053579637615980771964841101727079142438790211814523197599260532174324752127481056611143643850553712886965489240335960215395607274170008983401822015505913031806004761497537321981481305087285401556252202017811435361252940890531189812362112456856153291099155330607704792048037018976055067189229658188254779279099578985220287736025208524207302537980122944472775688606206398000829102629508644060308427343449501120636437983036451362792065088327459851773076306424941326547332941861686012417273992389243936597880560922621681293879235070449229319733442800809244218693314549525636122590300912729717705692509868002475768593118089665805722988023872524824222643878270864869701209157400390679459210683453438989838604663062631824601756650806100450999907126991707989876513556219016849292844551247195023205716528007591345768696368044571434438299469323612857701854373484402203513178890502352440915347095792726715223299690243960443884669825815579571049028776689667960383263257973786255038254362268399639633416712178167419840825195828792622676340263622485113688853266458059667232573754294}
15036   309261736958574195944976055831289241955098159271445329112992214: {75155,90186,285323,345299,510578,794099,1002923,1140988,1181603,1330283,1449083,1561768,1597403,1686299,1756989,2041768,2070683,2218163,2296989,2336003,2477805,2481866,2483123,2642992,2864699,2973366,3303299,3536483,3679165,3798203,3972323,4081778,4088243,4098549,4175099,4414998,4608299,4879225,4953563,4965578,5183099,5255950,5383523,5555003,5612099,5633608,5670026,5780005,5811683,5855070,5982443,6150748,6245408,6307140,6337809,6464699,6506428,6727616,6936006,6972803,7026084,7085363,7253963,7304872,7310099,7421066,7508500,7568568,7769546,7925483,8064803,8217981,8257150,8291186,8481563,8514639,8638226,8647763,8734888,8841299,8896523,9010200,9157706,9309683,9330578,9449032,9610880,9694588,9826749,9908580,9924808,10136475,10157843,10298918,10484099,10569152,10619699,10630161,10752124,10812240,11165409,11213963,11533056,11735666,11777603,11890296,11911283,12062632,12163770,12178043,12231299,12417443,12497099,12508924,12550163,12774088,12927626,12974688,13105403,13247565,13376583,13421099,13529649,13570461,14130736,14281226,14370849,14542883,14596524,14712740,14930723,15368099,15624299,15701003,15897078,15929205,16007099,16106725,16134299,16558792,16960778,16968803,16991152,17069363,17570243,17595203,17655288,17943803,17973832,18191843,18616778,18628641,18685523,19115046,19200443,19328070,19371299,19386568,19566083,19808843,19862199,19943565,20099099,20220561,20291963,20497468,20580299,20616608,20891363,21010643,21018200,21105923,21248603,21266632,21273136,21500605,21620469,21722123,21809889,21934163,22213948,22309523,22636283,22659563,22775843,22938299,23193684,23498378,23561243,23610952,23645475,23675963,23924961,23932278,24299378,24654299,24699443,24797073,24834683,24937586,25221840,25328099,25625308,25773299,25800726,25928363,25994699,26060963,26105099,26180781,26369243,26391203,26474961,26562321,26654099,26680778,26763299,26828723,26838386,26903296,26981099,27306299,27467378,27479003,27565163,27581608,27624266,27629699,28149375,28313603,28374570,28377299,28631363,29007868,29010299,29219699,29261483,29272605,29520325,29636099,29676232,29698283,29781083,30026000,30090443,30152099,30213683,30266208,30316163,30410373,30490405,30500123,30561299,30601005,30715150,30731786,30805283,30926843,31007723,31029309,31069768,31224112,31729883,31829363,31908803,31958666,31997512,32126603,32278449,32641072,32692648,32891003,32910443,32949299,33024626,33028924,33201083,33239699,33254565,33374603,33385761,33387208,33432299,33779250,33948323,34049484,34232483,34543528,34571099,34692124,34953489,35000003,35030193,35074163,35074165,35127126,35135378,35285066,35351123,35355388,35424390,35443043,35471536,35553083,35772299,35880693,35997201,36031200,36098963,36159688,36202825,36348124,36548363,36588486,36708923,36721206,36779229,36851099,36851368,36858180,37008508,37081043,37312168,37560609,37606523,37786016,37901099,37952843,38124803,38199805,38330099,38364203,38381243,38426725,38433280,38861469,38874493,38888723,38922952,39123083,39223043,39315392,39480205,39638524,39905478,39963563,40028603,40143986,40512323,40535100,40620028,40640099,40679649,40687883,40751483,40760008,40866506,40917921,41114699,41271299,41278165,41457789,41458163,41504699,41976189,42087923,42088998,42250108,42300746,42347301,42509268,42540203,42554109,42585866,42644699,42674483,42867299,42900124,43161299,43237440,43263443,43296146,43443390,43455153,43553123,43567523,43596299,43736488,43739699,43788321,43825605,43861778,43910723,44066483,44229816,44486363,44541803,44565578,44693603,44830763,45005613,45021443,45062099,45197099,45265778,45358043,45823346,45839766,45855009,46055099,46112070,46119936,46132924,46145483,46337843,46339616,46474408,46477763,46629299,46747312,46779683,46854443,46929832,46941299,47089283,47376246,47454203,47550299,47705363,47839912,47906099,48023099,48220163,48460403,48596099,48642120,48698428,48708299,48712778,48764099,49023093,49040099,49072883,49094699,49186208,49203299,49203549,49255946,49533798,49545443,49682099,49758543,49838099,49858763,49889699,49961603,49974268,50012723,50022923,50066378,50105950,50174963,50200946,50603786,50610563,50707403,50736299,50927099,51049403,51133283,51243592,51299099,51587483,51614099,51706333,51732325,51807083,51884928,51979163,52004699,52014529,52064003,52069778,52089299,52106123,52132068,52239563,52283709,52460099,52590726,52674803,52698299,52721723,52730378,52737299,52752805,52796061,52929299,52989683,53064443,53189699,53276723,53369699,53496203,53660843,53734763,53819901,53834003,53910386,53912099,53989043,54176363,54237203,54303203,54326963,54328358,54407368,54414923,54432299,54546299,54560906,54571150,54629699,54697749,54711299,54722385,54775283,54780563,54827723,54858803,54930203,55034363,55077923,55092299,55106603,55125563,55139699,55177043,55195523,55207826,55209299,55245683,55330043,55334484,55428299,55482049,55534990,55619723,55690403,55759432,55782443,55806299,55881923,55950299,55994699,56009099,56042843,56083403,56099123,56194283,56196563,56201233,56216723,56227643,56234099,56248883,56271323,56279243,56294699,56348099,56353043,56369003,56391443,56423603,56427299,56430923,56444699,56446883,56453709,56465099,56476643,56486099,56491763,56504699,56513099,56516843,56518643,56519363,56519483,56519963,56520203,56659528,56745746,56942205,57082593,57220924,57380426,57649041,57843868,58360825,58370544,59304505,59552565,59705788,60012205,60127140,60253586,60499826,60738352,60756913,60865521,61112906,61148365,61159173,61208289,61962033,62078790,62134501,62158605,62708392,62729361,62785948,63290186,63303366,63522736,63529226,63741969,64009948,64022413,64135616,64373793,65068946,65111605,65303666,65485380,65666862,65771378,65826472,66217165,66217376,66302512,66352778,66444124,66641988,66815306,67619186,68330646,68489128,68654805,68939061,68980405,69153352,69205778,69851072,70032990,70038088,70253029,70546941,70874378,71158773,71165406,71363272,71383165,71463078,71532746,71555548,71926045,72014646,72023281,72152568,72448924,72618506,73186161,73231792,73378038,73764325,73786792,73866190,74006728,74054781,74306470,74494548,74590326,74641778,74701856,75165578,75361150,75397893,75789386,75983272,76099346,76158589,76290268,76596373,76613066,76711765,76715378,77050269,77132209,77611940,77797521,78133926,78392008,78582456,78792849,78992565,79260070,79324946,79335700,79460598,79614205,80283681,80304133,81171639,81228712,81625957,81694165,81715249,82271653,82385766,82684106,82776486,82911009,83010141,83186248,83257569,84039588,84258736,84534086,84712825,84795506,85123165,85418565,85481181,85659798,85689746,86307146,86311254,86364265,86641045,86795590,86956924,87090578,87520778,87563541,87677601,87981405,88191009,88370378,88405263,88517190,88639428,89167764,89170333,89673928,89922805,90331708,90433380,90873937,91113136,91382301,91460590,91703186,91725628,92038312,92044381,92054118,92558524,93134328,93479793,93538888,93584529,93840146,93846832,94030405,94199917,94418336,94491868,94595950,94791078,95112084,95202840,95368778,95537046,95585329,96462272,96490826,96708549,96743848,97038026,97170088,97173386,97375346,97387341,97509266,98032998,98044924,98104778,98587228,99000753,99007946,99297448,99635786,99688405,99722152,99759626,...,2146488939371715620885966551375538469714750500249591660633205492485078023937059992863956914557488442349096292097950524917814066981224368256128175863435582871613371315204868282238574149570148162686626407799778634708969194602894475266211717835950545809420945943400699528123357012414716993549000622372572879794032752659936385030229830415996839436938774203517961385030394020717753890823632653534450844542238416388431336836928516833380872885686545438136172656095858052241363686861621388598897022309844033233865581586140873955645442635974329073426356412858200632277463528541717410098168396702604253306344517906921753950471079256887439928334485949807624338293321000881100830983764910321232274791685222173042882260793125132149505134988933624133151452686236672439906860153980193591060186715568924865293981406070313002358481074469108244451923034310088605969549661412519251639006508903984905928066525517625986961019761201788604115286539841269461884298327555609486892340713379212726576998890874452896506870896258877385472025338564461861524552068241612571997869796446392596964133481021782472700324462600559948261586060959203130608400878879808207446888426776921897850651537850221918085739089302245397576969461688666237998824981949907115216913333718768977990345558879830988568390633987178922170904616056585363432231970979719496476938731819080369456423971157947261652590618713658185317721784796398890798261487128191221584916715465775830569330448233860503940323093410911255013475102733023258869547709007142246305982972221957630928102334378303026717153041879411335796784718543168685284229936648732995911557188072055528464082600783844487282382168918649368477830431604037812786310953806970184416709163532909309597001243653944262966090462641015174251680954656974554677044188097632491189777659614459637411989820999412792529018625910988583865904896820841383932521940818852605673843979600164201213866328039971824288454183885451369094576558538764802003713652889677134498708584482035808787236333965817406297304551813736100586019188816025180158484757906994593947736902634976209150676499860690487561984814770334328525273939266826870792534808574792011387018653044552066857151657449203985419286552781560226603305269768335753528661373020643689090072834949535365940665827004738723369356573543165034501940574894886960679382557381543402599459450125068267251129761237793743188934014510395433727670533279899687089500848860631441}
15037   310660860287350272622997036292461817518827480497882745737564237: {120248,135279,765867,1366547,1426235,1711482,1786547,1952210,2146859,2312618,2342652,2552210,3062652,3303740,3633146,3722799,3964488,4460049,4929407,5464732,5886664,6122667,6391763,6622497,7042010,7086959,7448367,7643027,7688435,7806760,7883925,7985939,8133035,8267903,8409520,8450412,8505039,8684207,8782605,9131090,9226122,9248008,9368112,9385625,9424307,9460710,9759642,10091424,10404009,10539126,10554803,10682879,10918610,10957308,11131599,11177327,11262750,11352852,11654319,11811290,12013600,12118235,12364394,12385725,12406010,12436779,12957339,12988943,13027547,13102332,13211440,13440155,13514666,13515300,13736559,13995867,14173548,14188499,14416320,14488943,14541882,14862870,14867258,14887212,15078290,15377408,15448377,15636155,15727103,15853728,15929243,15967610,16128186,16218360,16907759,16963247,17169443,17299584,17335163,17603499,17663420,17835444,18039532,18093948,18245655,18390925,18549227,18608303,18613994,18763386,19032623,19161132,19391439,19462032,19593899,19987322,20163503,20627282,20659583,20698490,21196104,21238940,21421839,21894786,22046618,22069110,22423439,22467290,22762223,23033327,23540384,23796587,23845617,24011306,24133907,24233210,24594947,24608027,24838188,25244939,25441167,25486728,25621835,25678763,25770760,25966703,26272750,26441243,26482932,26513747,26583290,26591420,26734634,26960748,27186047,27321098,27338063,27599546,27644399,27767435,27925167,27997823,28560938,28606067,28672569,28827292,28992105,29079852,29213807,29311067,29513690,29608682,30207887,30225587,30343547,30746202,30924912,31020818,31028303,31037594,31527300,31639727,31899948,31909704,32031635,32123474,32238362,32244947,32456303,32648147,33062764,33158906,33320922,33399899,33533594,33629120,33717323,34057583,34058378,34202339,34400968,34477010,34790526,34907708,34925579,35247567,35299948,35416428,35665007,35898417,35931983,36082058,36259835,36449067,37053743,37095290,37210979,37273643,37406379,37532500,37832760,37971947,38168723,38269427,38396879,38437962,38701089,38837210,39030140,39218483,39295439,39996890,40021167,40126154,40257579,40354944,40547164,40632059,40665107,40801340,40865810,40903898,41009963,41063603,41201067,41286155,41372412,41436399,41622218,41734010,41859923,41952506,42094139,42561855,42653423,42801443,43037932,43179410,43365155,43484927,43511802,43584698,43665947,44194235,44339420,44514348,44664539,44838143,44869418,45039000,45175154,45199610,45379538,45399312,45435155,45559919,46064210,46072725,46097679,46260635,46315139,46604652,46640210,46706924,46836168,46992527,47122223,47232520,47606447,47840924,47937999,47996268,48041600,48246059,48647387,48653690,48784648,48789503,48961608,49038972,49128986,49144240,49336547,49536939,49543386,49548155,49577087,50080812,50139443,50165162,50336963,50656859,50668875,50718746,50775035,50950010,51074226,51148634,51350618,51815292,51974819,51999578,52038186,52690689,52703067,52717226,52812635,52927599,53033082,53103947,53136585,53146058,53207304,53625155,53807183,54046800,54232139,54239532,54522186,54557228,54670610,54869843,54882729,55081809,55277052,55287270,55475003,55512762,55582394,55676399,55968252,56095427,56110379,56118664,56463068,56522906,56679024,56738812,56772467,56998922,57598163,57605738,57649920,57666155,57924520,57940204,58014698,58052954,58093010,58384428,58434140,58578623,58662290,58735547,58973088,59104826,59457786,59484659,59799890,59858217,59927987,59936939,60007484,60055403,60121259,60215979,60509183,60549563,60802650,60873035,60930042,61094762,61119688,61140012,61283327,61299759,61482760,61493248,62135387,62242547,62442863,62467835,62972426,63133497,63148643,63168328,63375162,63451119,63763902,63878799,63884843,64054490,64061903,64077818,64260218,64299338,64350186,64563443,64755887,64856160,64944219,65165085,65223674,65364124,65604732,65790419,65792667,65952239,66045064,66306698,66344724,66485363,66530003,66848367,67111439,67616603,67898667,68009210,68091962,68495087,68593007,68735019,68759649,68761946,69079322,69168105,69179904,69199386,69506459,69509424,69699290,69711612,69928547,70120968,70318154,70394748,70423823,70824410,70899707,71064369,71075123,71526155,71759868,71788643,71839322,72067967,72070043,72304835,72787967,72861227,72930332,72963180,73047642,73069167,73650746,73726394,73779312,73883919,73896218,74169359,74300697,74632235,74961402,75001679,75099567,75158925,75271612,75301419,75326354,75489947,75905679,75922940,75932303,76110124,76327178,76534067,76787147,76865388,77422883,77460074,77581883,77826923,77827392,78104667,78198102,78379466,78385490,78464687,78482435,78680843,78818063,78886089,79095567,79354139,79403420,79723994,80012435,80169520,80533523,80821523,80865579,81154028,81188687,81492537,81545564,81611052,81764579,81841359,81846527,81856725,81873563,82115978,82132739,82275023,82283090,82616044,82771720,82786607,82796234,82811739,82878140,83001726,83055155,83302485,83435759,83492618,83501183,83639148,83871122,84118907,84176954,84323978,84404488,84650867,84989292,85023827,85118619,85611410,85831386,85831724,86070639,86222987,86441690,86765802,86881706,86885267,87120143,87256883,87276059,87313840,87547610,87555816,87642659,87813887,87957386,88039043,88375547,88626179,88855984,89204090,89444435,89558682,89868218,90190710,90380379,90542843,90561155,90749739,91107528,91420067,91539740,91669359,91707803,91777466,91861562,91918748,92033747,92233490,92508410,92764139,92859839,93118185,93328442,93356207,93377320,93889427,94062588,94178834,94178922,94878364,94887208,94907627,94935279,94955049,94956026,94979090,95199818,95284104,95293839,95362835,95622539,95884079,96014922,96019528,96203424,96275663,96286538,96375599,96395546,97014925,97021583,97049963,97270139,97565594,97577882,97581548,97603419,97837384,97936307,97955499,97990010,98097263,98147339,98159483,98228070,98228819,98500293,98657067,98739708,98826698,98850683,99169625,99271058,99326064,99398618,99453768,99529167,99666186,99927338,99940463,99962982,...,2861985252495620827847955401834051292953000666999455547510940656646770698582746657151942552743317923132128389463934033223752089308299157674837567817914110495484495086939824376318098866093530883582168543733038179611958926137192633688282290447934061079227927924534266037497809349886289324732000829830097173058710336879915180040306440554662452582585032271357281846707192027623671854431510204712601126056317888517908449115904689111174497180915393917514896874794477402988484915815495184798529363079792044311820775448187831940860590181299105431235141883810934176369951371388956546797557862270139004408459357209229005267294772342516586571112647933076832451057761334508134441311686547094976366388913629564057176347724166842866006846651911498844201936914982229919875813538640258121413582287425233153725308541427084003144641432625477659269230712413451474626066215216692335518675345205313207904088700690167982614693014935718138820382053121692615845731103407479315856454284505616968769331854499270528675827861678503180629367118085949148699402757655483429330493061928523462618844641362376630267099283467413264348781414612270840811201171839744276595851235702562530467535383800295890780985452402993863435959282251554983998433309266542820289217778291691970653794078506441318091187511982905229561206154742113817909642627972959328635918309092107159275231961543929682203454158284877580423629046395198521064348649504254962113222287287701107425773930978480671920430791214548340017966803644031011826063612009522995074643962962610174570803112504404035622870722505881781062379624724224913712306582198310661215409584096074037952110134378459316376509558558199157970440575472050417048414605075960245888945551377212412796001658205259017288120616854686899002241272875966072902725584130176654919703546152612849882653094665883723372024834547984778487873195761121845243362587758470140898458639466885601618488437386629099051272245180601825459435411385019736004951537186236179331611445976047745049648445287756541729739402418314800781358918421366906877979677209326125263649203513301612200901999814253983415979753027112438033698585689102494390046411433056015182691537392736089142868876598938647225715403708746968804407026357781004704881830694191585453430446599380487920887769339651631159142098057553379335920766526515947572510076508724536799279266833424356334839681650391657585245352680527244970227377706532916119334465147508588}
15038   312066262563782646052898536289556065292581334140798147316356475: {105217,150310,180372,570646,690598,1021156,1588198,1627261,2005846,2247937,2281976,2363206,2567223,2660566,2898166,2928315,3123536,3128497,3194806,3372598,3468927,3513978,3566077,3828315,4001857,4083536,4129675,4141366,4436326,4522417,4593978,4672006,4955610,4963732,4966246,5150831,5285984,5449719,5729398,5946732,5983261,6606598,6830915,7072966,7086337,7358330,7596406,7944646,8092007,8163556,8176486,8197098,8343997,8350198,8676637,8759617,8829996,8925361,9090817,9216598,9758450,9907126,9913777,9931156,10366198,10511900,10563015,10767046,10810717,11110006,11215537,11224198,11267216,11340052,11560010,11623366,11710140,11964886,12301496,12490816,12614280,12675618,12929398,13012856,13455232,13606657,13696635,13839183,13872012,13945606,14052168,14155261,14170726,14191065,14507926,14544961,14609744,14620198,14639463,14842132,15017000,15137136,15539092,15549757,15808689,15850966,16129606,16377915,16435962,16514300,16582372,16894125,16963126,16996417,17029278,17222461,17276452,17295526,17469776,17597761,17682598,17716935,17793046,18020400,18194497,18315412,18546591,18609015,18619366,18661156,18898064,19221760,19389176,19653498,19666177,19817160,19849616,19957057,20271999,20272950,20315686,20597836,20968198,21138304,21239398,21260322,21465277,21504248,21624480,21748957,21812823,21819697,22079275,22172317,22294305,22300887,22330818,22427926,22549415,22617435,22662961,23066112,23150077,23219377,23471332,23555206,23702461,23780592,23822566,23951415,24125264,24192279,24327540,24356086,24462598,24522397,24590257,24725761,24834886,24994198,25017848,25100326,25548176,25855252,25949376,26210806,26395261,26495130,26548675,26753166,26842198,27059298,27140922,27504817,27920991,28145079,28261472,28562452,28656961,28741698,29085766,29098717,29193048,29425480,29723677,29861446,29980983,30100847,30708637,30736198,30940923,31047735,31248598,31402006,31555357,31794156,31854337,31858410,32014198,32213450,32268598,32505757,32798977,32842179,32915761,33069927,33103665,33117584,33239275,33700935,33782461,33921556,33937606,33982304,34138726,34238077,35140486,35190406,35310576,35887606,35947664,36016959,36034115,36123037,36349815,36383686,36715057,36821761,37233556,37257282,37371046,38028157,38230092,38387761,38400886,38656140,38742598,38773136,38794417,38895361,39132166,39246397,39409125,39617686,39724398,39874935,39887130,40101951,40198198,40441122,40471297,40583926,40710877,40758577,40948657,40981647,40994936,41160598,41233216,41328455,41399319,41782726,42019261,42021286,42036400,42156097,42211846,42246961,42497206,42533264,42546272,42686567,42841407,43001210,43240938,43271197,43358461,43444246,43488817,43575361,43619778,43634635,43868326,43918657,44124935,44270535,44413023,44427896,44508337,44619046,44838961,45043261,45272566,45319126,45366397,45526237,45551686,45876598,46119303,46346497,46387368,46531227,46556391,46915625,46996756,47061277,47122486,47221904,47290950,47351926,47463217,47785597,47849922,47864556,48185211,48240961,48357543,48598756,48787675,49103831,49308598,49398886,49470397,49594146,49669366,49738359,49875172,49981383,50032861,50184961,50300391,50443680,50656198,50683955,50717617,51001675,51003457,51059761,51087567,51199261,51250616,51282097,51546598,51601452,51715515,51856726,51989398,52074817,52121926,52125361,52185789,52200637,52210198,52361562,52567297,52738486,52782406,52949922,53008477,53030977,53124642,53186461,53230237,53308198,53361556,53479727,53526598,53657446,53676772,53712961,53753137,53773117,53797415,53806592,53852317,53962198,54123087,54339037,54427057,54612598,54663937,54792961,54840157,54934756,54958006,54992797,55051837,55130326,55163216,55194397,55248532,55259398,55272287,55276477,55424275,55636657,55642935,55647997,55703617,55725361,55799197,55879261,56059261,56115457,56210461,56293297,56298750,56405761,56486077,56496157,56507137,56512861,56524957,56533597,56534461,56627206,56749140,56754598,57262726,57656943,57789431,58015736,58020598,58255815,58383655,58439398,58522966,58545210,59040650,59272198,59352464,59396566,59562166,59801155,59995335,60052000,60180886,60189231,60304198,60427366,60532416,60632326,60820746,60980810,61000246,61122598,61202010,61298715,61355847,61430300,61463572,61610566,61853686,62015446,62058618,62139536,62433327,62448224,62601015,62928759,63459766,63658726,63817606,63917332,63995024,64253206,64556898,64769115,65267703,65282144,65377047,65385296,65782006,65820886,65898598,66049252,66057848,66402166,66419639,66479398,66509130,66749206,66771522,66774416,66864598,67304127,67558500,67762731,67799415,67896646,68069307,68098968,68196535,68464966,69087056,69096315,69142198,69384248,69906978,69960315,70000006,70060386,70148326,70148330,70254252,70270756,70570132,70578835,70702246,70710776,70848780,70886086,70923515,70943072,71106166,71544598,71761386,71994402,72062400,72197926,72319376,72405650,72425255,72696248,72980535,73042675,73096726,73176972,73417846,73431683,73442412,73558458,73693479,73702198,73702736,73716360,73853927,74017016,74162086,74315079,74624336,75009355,75121218,75213046,75247743,75572032,75802198,75905686,76078119,76249606,76399610,76425015,76611339,76660198,76722951,76728406,76762486,76853450,76866560,77025927,77722938,77748986,77777446,77845904,77999367,78057279,78246166,78446086,78630784,78960410,79075839,79277048,79549623,79719087,79810956,79927126,80057206,80287972,81024646,81070200,81240056,81280198,81359298,81375766,81502966,81520016,81705155,81733012,81783279,81835842,82005915,82229398,82542598,82556330,82915578,82916326,82930905,83009398,83026307,83269143,83373591,83952378,84017087,84175846,84177996,84500216,84601492,84694602,84784359,85018536,85080406,85108218,85118423,85128703,85171732,85289398,85348966,85498383,85607711,85734598,85800248,86322598,86408607,86474880,86526886,86592292,86886780,86910306,87022047,87079431,87106246,87135046,87139515,87192598,87472976,87479398,87576642,87651210,87723556,87821446,87993435,88132966,88459632,88657239,88972726,89083606,89131156,89186679,89387206,89661526,89699835,90011226,90042886,90124198,90394198,90531556,90716086,91156247,91162915,91203975,91395063,91642143,91646692,91679532,91710018,91950671,92110198,92224140,92239872,92265848,92290966,92675686,92679232,92704031,92948816,92955526,93258598,93494624,93559366,93708886,93859664,93882598,94089515,94178566,94458639,94752492,94903675,94908406,95062743,95100598,95137655,95410726,95645853,95679824,95812198,96046198,96081735,96116727,96390327,96440326,96449007,96525279,96572567,96920806,97192198,97284240,97396856,97416598,97425556,97528198,97835511,98046186,98080198,98145766,98189398,98372416,98406598,98407098,98511892,99067596,99090886,99254275,99364198,99460047,99517086,99676198,99717526,99779398,99923206,99936431,99948536,...,4292977878743431241771933102751076939429501000499183321266410984970156047874119985727913829114976884698192584195901049835628133962448736512256351726871165743226742630409736564477148299140296325373252815599557269417938389205788950532423435671901091618841891886801399056246714024829433987098001244745145759588065505319872770060459660831993678873877548407035922770060788041435507781647265307068901689084476832776862673673857033666761745771373090876272345312191716104482727373723242777197794044619688066467731163172281747911290885271948658146852712825716401264554927057083434820196336793405208506612689035813843507900942158513774879856668971899615248676586642001762201661967529820642464549583370444346085764521586250264299010269977867248266302905372473344879813720307960387182120373431137849730587962812140626004716962148938216488903846068620177211939099322825038503278013017807969811856133051035251973922039522403577208230573079682538923768596655111218973784681426758425453153997781748905793013741792517754770944050677128923723049104136483225143995739592892785193928266962043564945400648925201119896523172121918406261216801757759616414893776853553843795701303075700443836171478178604490795153938923377332475997649963899814230433826667437537955980691117759661977136781267974357844341809232113170726864463941959438992953877463638160738912847942315894523305181237427316370635443569592797781596522974256382443169833430931551661138660896467721007880646186821822510026950205466046517739095418014284492611965944443915261856204668756606053434306083758822671593569437086337370568459873297465991823114376144111056928165201567688974564764337837298736955660863208075625572621907613940368833418327065818619194002487307888525932180925282030348503361909313949109354088376195264982379555319228919274823979641998825585058037251821977167731809793641682767865043881637705211347687959200328402427732656079943648576908367770902738189153117077529604007427305779354268997417168964071617574472667931634812594609103627472201172038377632050360316969515813989187895473805269952418301352999721380975123969629540668657050547878533653741585069617149584022774037306089104133714303314898407970838573105563120453206610539536671507057322746041287378180145669899070731881331654009477446738713147086330069003881149789773921358765114763086805198918900250136534502259522475587486377868029020790867455341066559799374179001697721262882}
15039   313477971740000175563588595831555929447241296803589974420708906: {225465,240496,270558,855969,1035897,1276445,1531734,1817057,1996729,2382297,2537197,2733094,2852470,3008769,3422964,3544809,3573094,3904420,3990849,4293718,4347249,4625236,4685304,4792209,5058897,5104420,5270967,6125304,6204665,6212049,6607480,6654489,6890967,7008009,7266292,7433415,7445598,7449369,7928976,8375497,8594097,8920098,9714881,9858814,9909897,10204445,10533049,10609449,10763809,10929464,11037495,11386249,11394609,11681417,11773328,11916969,12245334,12264729,12295647,12413945,12525297,12783526,13139875,13244994,13487069,13824897,14084020,14173918,14175065,14625281,14637675,14860689,14896734,15286054,15350569,15376870,15549297,15613520,15767850,15971878,16150569,16181489,16266070,16535806,16665009,16819040,16836297,16900824,16965529,17010078,17340015,17368414,17435049,17565210,17798141,17947329,18045857,18262180,18452244,18496016,18552665,18736224,18771250,18816217,18825469,18848614,18921420,19013427,19394097,19423865,19519284,19981897,20182848,20296649,20642875,20727965,20731489,20808018,20918409,21078252,21078929,21109606,21256089,21365758,21466577,21595565,21761889,21837220,21890617,21914616,21930297,22263198,22354654,22440737,22525500,22705704,22894265,22988909,23308638,23326445,23622580,23776449,24027200,24194409,24236470,24386681,24653943,24728788,24771450,24812020,24873558,25142717,25444689,25543917,25581161,25747295,25914678,25943289,25977886,26055094,26204664,26422880,26523897,26689569,26880310,26900809,27029332,27030600,27473118,27503089,27929049,27991734,28264777,28347096,28376998,28810577,28832640,28977886,29083764,29339165,29480247,29725740,29734516,29774424,30156580,30347629,30409425,30473529,30754816,30759401,30896754,31272310,31452297,31454206,31707456,31858486,31859097,31890483,31935220,32138777,32256372,32319065,32436720,33162257,33496227,33641889,33815518,33926494,34338886,34599168,34670326,35206998,35326840,35332809,35670888,35703065,35733849,35870569,36079064,36137441,36187896,36491310,36534129,36561121,36693897,36781850,37098454,37213049,37216606,37227988,37252329,37491297,37526772,37650489,38065246,38322264,38357449,38782878,38874409,38924064,39187798,39316209,39742695,39974644,40129749,40263297,40323229,40327006,40588947,40711383,41254564,41319166,41396980,41757617,42392208,42401945,42477880,42659161,42843678,43010449,43112547,43619929,43628649,43671881,43789572,44050669,44093236,44138220,44792169,44844289,44846878,44934580,45167249,45524446,45582977,46066654,46104297,46541945,46843297,46872897,46883729,47080768,47103009,47593174,47691234,47787615,48021297,48022612,48156257,48267814,48320175,48402897,48466420,48817469,49189894,49216054,49676376,50346857,50489878,50763769,50882334,50906409,50949209,50973456,51208089,51243670,51357526,51541520,51933406,52545500,52710729,52785609,52882486,52965864,53027494,53166580,53182840,53469268,53831409,53921496,54370609,54372094,54575529,54642196,54676126,55199092,55288798,55534870,55850334,55885923,55995646,56038201,56056569,56525321,57121876,57212134,57345138,57601329,57654584,57800617,57927881,57984210,58113897,58159704,58427614,58622134,58698249,58745945,59027380,59060297,59217364,59426529,59586597,59830695,59867197,60063329,60297297,60415774,60451174,60661683,60687094,60711217,60748445,60875889,61492404,61688477,61740897,61849824,61871929,62041636,62056606,62075188,62343965,62640281,62674089,62694889,63027857,63031929,63054600,63279454,63317769,63609217,63745809,63799896,63819408,64063270,64070521,64246948,64476724,64489894,64501815,64519697,64764889,64861407,64912606,65166369,65296294,65326817,65429667,65802489,65987489,66125528,66317812,66641844,66701945,66799798,66928569,67067188,67095965,67258240,67434646,67465469,67673041,67908849,67978689,68115166,68116756,68327529,68404678,68668445,68801936,68814897,68954020,69060665,69367417,69581052,69775369,69815416,69851158,70269149,70417757,70495134,70599896,70683729,70687577,70832856,70936425,71027889,71052397,71085049,71330014,71774883,71796834,71863966,71884649,72164116,72279817,72519670,72898134,72950609,73937689,73962897,74098329,74107486,74190580,74391219,74421958,74504049,74547286,74799857,74812758,75065000,75075217,75095777,75500269,75665520,75943894,75984297,76337446,76538854,76658681,76787875,76793758,76829465,76875924,76987721,77319897,77402178,77674420,77785089,77984097,78060280,78182889,78192641,78315297,78436966,78514337,78542343,78590878,79022369,79107729,79173609,79222097,79240849,79424883,79686963,79850657,79896665,79962297,79993780,80042334,80252308,80289897,80486169,80515158,80709888,80732617,80943297,81094328,81199609,81264118,81291881,81330214,81602680,81731620,81807796,81918897,82019926,82127206,82143997,82402134,82437009,82561565,82572310,82695489,82744824,82872798,82889097,82972537,83194297,83244436,83468020,83719846,83905012,84188278,84378809,84448125,84626669,84940809,85123710,85131897,85222249,85306846,85602886,85820929,85853329,85894089,86075864,86358820,86730310,86969854,87023604,87030897,87169396,87240449,87331894,87454969,87654697,87659097,87784449,87817815,87838445,88028669,88212665,88388470,88560975,88663961,88678840,88908297,89028696,89094849,89240897,89329078,89343249,89676286,89738836,90078000,90271329,90350308,90399220,90456297,90641049,90759076,90798624,90870310,90948489,91119838,91231119,91239689,91471215,91500369,91683897,91803015,92128420,92145450,92195358,92415849,92521270,92630278,92780529,93023169,93087927,93209304,93280420,93413848,93672336,93985054,94015249,94020401,94244446,94465040,95189649,95212894,95314529,95488089,95681848,95726409,95875998,95992536,96083200,96379809,96492118,96768029,96787177,96835347,97294774,97307380,97316489,97569296,97579006,97807457,97923216,98077944,98257972,98288480,98605897,98673009,98673094,98731329,98847897,98863981,99073878,99086772,99096310,99118289,99154174,99218297,99256237,99603249,99671357,99719097,99763695,...,6439466818115146862657899654126615409144251500748774981899616477455234071811179978591870743672465327047288876293851574753442200943673104768384527590306748614840113945614604846715722448710444488059879223399335904126907583808683425798635153507851637428262837830202098584370071037244150980647001867117718639382098257979809155090689491247990518310816322610553884155091182062153261672470897960603352533626715249165294010510785550500142618657059636314408517968287574156724091060584864165796691066929532099701596744758422621866936327907922987220279069238574601896832390585625152230294505190107812759919033553720765261851413237770662319785003457849422873014879963002643302492951294730963696824375055666519128646782379375396448515404966800872399454358058710017319720580461940580773180560146706774595881944218210939007075443223407324733355769102930265817908648984237557754917019526711954717784199576552877960883059283605365812345859619523808385652894982666828460677022140137638179730996672623358689520612688776632156416076015693385584573656204724837715993609389339177790892400443065347418100973387801679844784758182877609391825202636639424622340665280330765693551954613550665754257217267906736192730908385065998713996474945849721345650740001156306933971036676639492965705171901961536766512713848169756090296695912939158489430816195457241108369271913473841784957771856140974555953165354389196672394784461384573664754750146397327491707991344701581511820969280232733765040425308199069776608643127021426738917948916665872892784307003134909080151459125638234007390354155629506055852689809946198987734671564216166585392247802351533461847146506755948105433491294812113438358932861420910553250127490598727928791003730961832788898271387923045522755042863970923664031132564292897473569332978843378912235969462998238377587055877732965751597714690462524151797565822456557817021531938800492603641598984119915472865362551656354107283729675616294406011140958669031403496125753446107426361709001897452218891913655441208301758057566448075540475454273720983781843210707904928627452029499582071462685954444311002985575821817800480612377604425724376034161055959133656200571454972347611956257859658344680679809915809305007260585984119061931067270218504848606097821997481014216170108069720629495103505821724684660882038147672144630207798378350375204801753389283713381229566802043531186301183011599839699061268502546581894323}
15040   314896015891566166290052144672282102491607732877709003242014604: {210434,300620,345391,360744,405837,1062799,1141292,1241431,1330639,1381196,1508839,2042312,2218759,2297601,2571991,2924071,3176396,3254522,3362551,3799231,3973399,4011692,4099641,4147279,4278705,4320871,4495874,4563952,4667191,4726412,4880525,5134446,5321132,5359641,5613631,5781545,5796332,5856630,5870239,6126199,6247072,6256994,6380525,6389612,6440577,6551359,6745196,6937854,6974719,7027956,7132154,7143559,7312111,7564399,7656630,8003714,8167072,8259350,8282732,8567071,8872652,8898991,9044834,9082865,9187956,9344012,9394711,9563281,9911220,9927464,9932492,10296799,10301662,10571968,10899438,11168397,11351671,11458796,11893464,11966522,12234751,12474079,12553711,13213196,13380147,13424911,13661830,13818031,14145932,14172674,14443279,14716660,14788221,15192812,15449479,15889292,16138951,16184014,16327112,16352972,16367479,16394196,16687994,16700396,17350279,17353274,17519234,17575351,17605025,17650231,17659992,17725039,17850722,18097999,18181634,18368001,18433196,18617119,19175289,19425751,19516900,19814252,19827554,19862312,19867491,20153311,20732396,20945311,21023800,21126030,21159799,21260877,21302431,21534092,21621434,21728599,22220012,22345101,22431074,22448396,22534432,22680104,22782679,22827725,22929081,23065305,23120020,23246732,23420280,23651775,23929772,23957719,23957817,24094591,24399105,24602992,24706951,24803709,24842239,24981632,25111951,25228560,25313479,25351236,25515117,25858796,26025712,26046871,26052621,26113111,26347815,26509039,26910464,26967679,27032911,27163159,27213314,27296525,27393270,27487519,27616759,27678366,27744024,27891212,28104336,28156875,28272921,28310522,28341452,28382130,29015852,29089922,29219488,29240396,29270671,29278926,29528225,29684264,29831839,30034000,30141079,30264271,30274272,30325759,30910985,31015025,31078184,31099514,31212027,31569181,31617378,31664409,31701932,31779871,31839559,32048637,32259212,32755830,32871924,32959951,33028600,33164744,33250471,33394797,33423919,33531981,33786665,33788250,33926252,33992834,34054351,34058556,34168039,34281439,34444922,34552904,34591052,34619911,34676071,34939552,34962957,35011519,35178271,35195522,35365196,35433870,35454751,35564839,35586092,35838799,36040800,36110959,36354705,36388994,36630824,37093182,37157175,37168145,37218030,37238732,37310337,37322312,37339711,37695725,37796128,37965679,38326039,38377231,38443520,38778352,38872017,38935591,38966829,39082641,39236479,39306996,39332354,39633631,39634320,39699232,39914114,39919025,40074919,40317559,40320465,40543998,40545900,40631372,40845031,41129071,41195672,41209677,41316991,41735599,41936396,41987601,42102799,42276608,42420319,42465391,42478796,42520644,42555319,42565497,42689671,42930554,43008496,43176751,43248960,43308079,43466829,43497914,43611991,43625646,43639394,43784071,44158550,44251351,44344634,44588610,44601774,44661636,44792359,44855852,45098830,45234870,45240631,45325922,45798559,45916279,46132224,46300154,46345131,46438754,46495159,46534985,46646791,46872079,46908465,46942664,47110412,47131639,47181309,47314879,47404922,47561184,47645132,47787729,47902830,47924431,48250528,48307759,48384558,48614911,48655080,48712172,48883039,48925196,49044794,49081111,49113871,49180514,49244191,49451522,49533199,49564951,49628239,49669772,49878511,49968305,49988396,50035696,50063191,50200652,50215111,50447761,50689159,50723277,50889741,50947711,51096352,51116839,51338311,51501391,51508329,51568205,51608671,51710504,51746225,51845839,51898752,52005489,52127791,52421612,52474039,52498231,52546399,52759591,52790522,52810497,52990260,53097350,53124199,53299591,53506332,53533231,53595439,53636551,53684396,53817991,53857519,53935711,54118596,54181879,54273319,54281844,54327319,54502639,54735991,54736965,54815911,54862999,54955231,55009634,55030111,55059559,55116545,55172775,55202479,55647681,55798711,55824909,55841982,56036311,56126599,56168225,56186791,56222071,56235679,56248999,56281039,56290158,56376511,56391199,56439511,56454919,56475871,56494231,56521159,56522944,56542831,56545639,56546431,56548879,56549959,56550391,57097869,57124904,57313922,57483396,57859837,58171532,58174317,58197434,58386096,58781697,58850960,59447354,59722892,59961966,60028265,60201694,60490509,60583025,61088489,61417274,61472396,61774909,61881846,61978749,62095470,62497196,62804012,63110714,63588312,63708674,63716820,64028396,64265517,64426900,64537196,65011514,65597954,65681875,65684358,65831522,66139854,66207330,66235168,66458225,66478550,66836585,67270317,67401870,67564922,67843112,67875212,67964608,68277452,68286669,68302745,68476154,68998865,69099981,70280972,70380812,70621152,70957537,71389761,71402345,71536851,71775212,71895328,72033918,72068230,72246074,72401721,72699630,72767372,73430114,73643522,73784225,73784841,73824081,74021705,74467112,74514564,74742092,75316381,75734817,76056314,76323501,76460184,76775522,76801772,76865505,77036289,77312280,77485196,77546272,77552045,77588834,77593985,77790722,77900109,78264332,78492794,78495937,78818250,79235372,79323729,79448796,79541241,79749870,79774260,80203902,80308685,80396396,80595905,80882244,80942594,81167852,81252809,81421754,81517154,81558141,81737117,81897314,81963294,81989872,82014189,82321196,82466432,82656910,82798638,82897265,82933197,83302305,83565452,83721617,83775501,83833985,83993469,84038522,84042572,84072800,84312194,84423692,84493922,84994412,85066528,85092544,85145945,85373134,85682814,85818201,86002420,86017707,86192525,86481876,86542394,86716922,86888492,86976315,86977634,87150722,87186077,87239556,87269270,87641421,87736652,87837314,87933201,88249870,88541070,88826046,88855792,89016674,89238092,89677922,90086522,90205145,90545132,90623661,90638252,90676761,90732794,91030641,91052474,91103372,91753196,92238606,92692994,92738225,92774736,93062454,93084909,93112782,93831250,93993512,94122554,94244972,94443808,94581900,94703852,94919181,94926434,95475149,95571194,95699844,95729112,96094905,96370422,96481922,96715086,96734841,97093025,97197512,97368909,97575350,97944441,98207662,98617196,98797772,98810369,98940794,99188292,99292921,99338732,99476718,99592001,99750344,99962766,99992225,...,8585955757486862483543866205502153878859002000998366642532821969940312095748239971455827658229953769396385168391802099671256267924897473024512703453742331486453485260819473128954296598280592650746505631199114538835876778411577901064846871343802183237683783773602798112493428049658867974196002489490291519176131010639745540120919321663987357747755096814071845540121576082871015563294530614137803378168953665553725347347714067333523491542746181752544690624383432208965454747446485554395588089239376132935462326344563495822581770543897316293705425651432802529109854114166869640392673586810417013225378071627687015801884317027549759713337943799230497353173284003524403323935059641284929099166740888692171529043172500528598020539955734496532605810744946689759627440615920774364240746862275699461175925624281252009433924297876432977807692137240354423878198645650077006556026035615939623712266102070503947844079044807154416461146159365077847537193310222437947569362853516850906307995563497811586027483585035509541888101354257847446098208272966450287991479185785570387856533924087129890801297850402239793046344243836812522433603515519232829787553707107687591402606151400887672342956357208981590307877846754664951995299927799628460867653334875075911961382235519323954273562535948715688683618464226341453728927883918877985907754927276321477825695884631789046610362474854632741270887139185595563193045948512764886339666861863103322277321792935442015761292373643645020053900410932093035478190836028568985223931888887830523712409337513212106868612167517645343187138874172674741136919746594931983646228752288222113856330403135377949129528675674597473911321726416151251145243815227880737666836654131637238388004974615777051864361850564060697006723818627898218708176752390529964759110638457838549647959283997651170116074503643954335463619587283365535730087763275410422695375918400656804855465312159887297153816735541805476378306234155059208014854611558708537994834337928143235148945335863269625189218207254944402344076755264100720633939031627978375790947610539904836602705999442761950247939259081337314101095757067307483170139234299168045548074612178208267428606629796815941677146211126240906413221079073343014114645492082574756360291339798141463762663308018954893477426294172660138007762299579547842717530229526173610397837800500273069004519044951174972755736058041581734910682133119598748358003395442525764}
15041   316320423218019058490241961112443924360569997522316911366430783: {315651,375775,450930,480992,541116,1426615,1711938,1726495,1787023,2071794,2147431,2552890,2807431,3063468,3634114,3970495,3993458,4764594,4881783,5014615,5074394,5466188,5704940,5908015,6017538,6651415,6743811,6845928,7089618,7146188,7245415,7701669,7746211,7808840,7981698,7987015,8431495,8587436,8686531,8694498,8784945,9250472,9370608,9385491,9584418,10044199,10117794,10208840,10353415,10406781,10443151,10541934,10698231,11090815,11481223,11484945,11680015,12005571,12010471,12250608,12389025,12409330,12415615,12424098,12600703,12992419,13214960,13308978,13567251,13646611,13781934,13805311,14016018,14286223,14323495,14532584,14866830,14891196,14898738,15073783,15452493,15857952,16349157,16516495,16586119,16750994,17036023,17188194,17284423,17379523,17564371,17682415,17840196,17949783,18395825,18554191,18666343,18991015,19025599,19429762,19717628,19819794,19845091,19861615,20168899,20408890,20441215,20492745,20875495,20984671,21066098,21218898,21259011,21527618,21858928,22074990,22768339,22772498,22789218,23039491,23041495,23362834,23546656,23558803,23833938,24276021,24396125,24408451,24490668,24529458,24574351,24591294,24714019,24767815,24827890,25031991,25050594,25369591,25567052,25622791,25915495,25973731,26010223,26029911,26278851,26279750,26369191,26448319,26489988,26520871,26656531,26776083,26917615,26974138,27144163,27193411,27272451,27345379,27649794,27775015,28060495,28168040,28347836,28350130,28820623,28900025,29019151,29058415,29241619,29250562,29275350,29318911,29721378,29741331,29793468,29912215,30215971,30233791,30559663,30572108,30701138,30753740,31098594,31227040,31535700,31625863,31689045,31943756,32051971,32162623,32301138,32323495,32362978,32432151,32465059,32479831,32532140,32657023,32880739,33017923,33071612,33330018,33638080,33646611,33672594,33801648,33931058,34020156,34671823,34680030,34736828,34864015,34870098,35130420,35426815,35596282,35894658,35934103,36046213,36091714,36269815,36524360,36550495,36904488,36992032,37063699,37105330,37362439,37472448,37542500,37632434,37650938,37697228,37842840,37900243,37924711,37982191,38026854,38516263,38788194,38847730,39038568,39627415,39680023,39963794,40324015,40365696,40593298,40804819,40819971,41074831,41089905,41285750,41455930,41462978,41517549,41616036,41836818,42156504,42157858,42219212,42407815,42465783,42512178,42573195,42720931,42731516,42933154,43191130,43238815,43458319,43496611,43523778,43634883,43674440,43676791,43781234,43829232,43860594,43918389,43996579,44206495,44482615,44526396,44709308,44854531,44881474,44952391,45051000,45246691,45411408,45671911,45788530,45907411,45977818,46548415,46617276,46649271,46652890,46682983,47245160,47426067,47497351,47552898,47568163,48054400,48388818,48472940,48660511,48773362,49133745,49307886,49349911,49457576,49542900,49624040,49655623,49719571,49747116,49798051,49984291,50285434,50481043,50670631,50682375,50789215,50889378,50956063,50989251,51087834,51162322,51304231,51494590,51612223,51633091,51667383,51829356,51886578,51946963,51955772,52110188,52184191,52409328,52420495,52793283,52845760,53047794,53098495,53134231,53150805,53379138,53519059,53760620,53801618,53821699,53870791,54058664,54061200,54583491,54946236,55006178,55639773,55827045,55858098,55983468,56045011,56069815,56529554,56694192,56753996,57042691,57101623,57621154,57665280,57955772,58167528,58678330,58888015,58960494,58977223,58998531,59362723,59451480,59469032,59500831,59548848,59556415,59871171,60137671,60313160,60423619,60565951,60695258,60815997,60818850,60890215,60947058,61156495,61509632,61518802,61793508,62087215,62259271,62485495,62544620,62750815,62904594,62908412,62910031,63414912,63716972,63718194,63780966,63870440,63902311,64277554,64395831,64512744,64517023,64528519,64638130,64697671,64873440,65135011,65158723,65246871,65438469,65459091,65527015,65779879,66237825,66324514,66516951,66547879,66882915,66902661,66992454,67105495,67129603,67153951,67283778,67631036,67648245,67852305,67852988,67915423,67967071,67988883,68460223,68513491,68677772,68971471,69198336,69340652,69443623,69450231,69658131,70413996,70442899,70459939,70653680,70665618,70918951,71107383,71341776,71406130,71467698,71741138,71854245,72087331,72158128,72274882,72375792,72576837,72714415,72982620,73068258,73122242,73375111,73387794,73563700,73567191,73750723,73770771,74029423,74177283,74196908,74426098,74433212,74455976,74504658,74653615,74810131,74866723,74982594,75053544,75300978,75360823,75402583,75423511,76130492,76250551,76554631,76644528,76669219,76714898,76808023,76840495,76842211,77211151,77565756,77748818,77787631,77847919,77848128,77906851,78121495,78375596,78505015,78632418,78702199,79185783,79485390,79646025,79690111,79861399,79949288,80035495,80259498,80526594,80533625,80646458,80654012,80671495,80843239,81177894,81240163,81422766,82093519,82244323,82297219,82509128,82514451,82638332,82793960,82808851,83515234,83523619,83745811,83762973,84435237,84784416,84803890,84844015,84955760,85047823,85249891,85318322,85346815,85485823,85687356,85955983,85970883,86020898,86224039,86225094,87239858,87257298,87281551,87296151,87343762,87579144,87729091,87851215,87976015,88101338,88186472,88276440,88399831,88741123,89171031,89584338,89688578,89693756,89719015,89869160,89942949,90302541,90334498,90419683,90462991,90511399,90596623,90724759,90959215,91048892,91165954,91445023,91669519,91918051,92125911,92133308,92208594,92789671,92822769,93083890,93143205,93382723,93427615,93686594,93745794,93767458,93914911,93934351,94161536,94172551,94206018,94666071,94933231,95085859,95186348,95245231,95382468,95544391,95563011,95575230,96002215,96042594,96045224,96072223,96135823,96302371,96312514,96535628,96640350,96668863,96684931,96805794,96856495,96932840,97517271,97561603,97634938,97830415,98124499,98173903,98379788,98384983,98396931,98432108,98526537,98717623,98747283,99044215,99131623,99209781,99310995,99352752,99717825,99861703,...,12878933636230293725315799308253230818288503001497549963799232954910468143622359957183741487344930654094577752587703149506884401887346209536769055180613497229680227891229209693431444897420888976119758446798671808253815167617366851597270307015703274856525675660404197168740142074488301961294003734235437278764196515959618310181378982495981036621632645221107768310182364124306523344941795921206705067253430498330588021021571101000285237314119272628817035936575148313448182121169728331593382133859064199403193489516845243733872655815845974440558138477149203793664781171250304460589010380215625519838067107441530523702826475541324639570006915698845746029759926005286604985902589461927393648750111333038257293564758750792897030809933601744798908716117420034639441160923881161546361120293413549191763888436421878014150886446814649466711538205860531635817297968475115509834039053423909435568399153105755921766118567210731624691719239047616771305789965333656921354044280275276359461993345246717379041225377553264312832152031386771169147312409449675431987218778678355581784800886130694836201946775603359689569516365755218783650405273278849244681330560661531387103909227101331508514434535813472385461816770131997427992949891699442691301480002312613867942073353278985931410343803923073533025427696339512180593391825878316978861632390914482216738543826947683569915543712281949111906330708778393344789568922769147329509500292794654983415982689403163023641938560465467530080850616398139553217286254042853477835897833331745785568614006269818160302918251276468014780708311259012111705379619892397975469343128432333170784495604703066923694293013511896210866982589624226876717865722841821106500254981197455857582007461923665577796542775846091045510085727941847328062265128585794947138665957686757824471938925996476755174111755465931503195429380925048303595131644913115634043063877600985207283197968239830945730725103312708214567459351232588812022281917338062806992251506892214852723418003794904437783827310882416603516115132896151080950908547441967563686421415809857254904058999164142925371908888622005971151643635600961224755208851448752068322111918267312401142909944695223912515719316689361359619831618610014521171968238123862134540437009697212195643994962028432340216139441258990207011643449369321764076295344289260415596756700750409603506778567426762459133604087062372602366023199679398122537005093163788646}
15042   317751222043415466201642424159626038244779992748245449084361681: {165341,420868,435377,601240,676395,690782,721488,811674,883997,1092737,1538717,1686977,2125598,2248541,2282584,2425277,2482862,2567907,2572337,2661278,2762392,2836541,2953757,3017678,3107691,3129341,3392177,3829335,3886877,4002941,4084624,4176797,4437518,4581341,4595202,5143982,5271197,5451171,5471537,5700017,5848142,5984897,5990187,6155441,6352792,6509044,6552257,6725102,6832735,6975677,7131175,7144541,7146891,7256957,7397297,7593437,7598462,7611591,7946798,8023384,8094163,8151677,8199282,8294558,8557410,8568257,8641742,8927837,8932735,8991748,9026307,9093341,9127904,9231041,9334382,9396017,9452824,9670337,9761050,10053041,10268892,10298237,10569917,10634427,10642264,10719282,10734295,10867841,11227262,11563090,11592664,11675441,11713260,11740478,11972547,12252398,12494144,12502397,12513988,12716011,12761050,12779224,12881154,13041747,13102718,13490392,13662941,13875708,13924541,13949438,14055912,14159297,14211377,14264308,14287118,14376627,14445341,14471297,14624222,15128798,15176691,15313260,15451697,15707777,15812901,16007428,16141277,16334144,16518700,16565464,16623041,16774577,17134142,17602877,17652797,17745304,17752541,17797982,18089668,18100637,18125441,18165730,18375912,18613995,18619841,18636147,18688024,18767537,18789422,19126562,19208897,19379837,19452977,19720541,19822440,19854928,19864984,19963467,20180417,20593598,20603324,20672901,20828957,21024027,21143936,21258077,21519041,21755441,21798876,22300245,22336794,22348107,22703342,22917592,23064497,23640797,23786928,23847041,23933044,24098237,24469502,24642941,24647035,24733277,24948158,25107422,25126491,25339697,25518257,25782291,25851677,26006657,26072957,26426392,26513117,26760294,26775677,26841137,26849822,26993597,27058817,27323660,27513341,27636062,27642557,27750017,28291864,28345348,28390577,28475441,28708157,28792541,28886558,29144643,29433320,29576442,29712317,29729691,30042941,30166397,30228017,30385624,30575837,30613335,30759041,30898958,30941597,31083137,31385117,31599147,31665341,31745117,31778584,31828347,31864541,31958815,32260541,32277902,32291427,32368028,32437697,32555441,32654224,32672897,32705944,32734958,32788392,32965277,33112485,33313757,33375988,33400792,33448577,33506237,33717041,33831617,34158747,34173617,34183827,34192541,34287041,34305917,34700558,34706548,35017277,35038468,35044251,35150702,35210050,35300462,35319984,35434795,35450078,35701444,35750907,35844737,35862941,36116957,36135041,36195998,36363268,36673841,36736002,36794187,36866392,36869597,36886941,36922817,37099697,37187837,37234238,37241835,37575891,37920317,37972097,38075441,38144177,38215135,38349617,38350578,38400797,38442175,38740157,38851502,38942237,39033800,39109757,39259841,39419625,39628504,39655108,39724624,39734982,39929695,39984257,40098077,40306622,40324541,40461207,40665175,40709117,40867997,40962941,41339515,41433341,41464792,41474691,41526557,41650397,41758337,41890622,41896541,42047600,42252060,42319598,42487937,42521754,42525195,42604862,42741917,43068184,43242868,43275379,43315841,43421035,43457198,43533341,43619837,43662977,43875843,43913025,44440024,44510657,44582067,44690202,44814257,44862148,44896792,45068864,45086897,45127517,45222017,45262397,45360208,45565358,45609341,45655450,45820157,45858162,45885617,45937841,46002941,46051707,46119617,46130610,46240040,46493464,46647891,46768541,46840560,46928125,47079041,47121535,47301331,47303550,47335997,47517377,47859544,47915438,47915634,47933597,48189182,48282557,48328541,48451707,48454337,48544467,48725441,48770177,48798210,49068797,49101617,49156157,49205984,49329341,49413902,49489841,49607418,49684478,49711517,49742897,49857341,49919357,49960541,49963264,49995027,50073137,50223902,50225117,50457120,50508891,50626958,50702472,50709041,50766977,50795837,50896587,51030234,51042941,51220097,51321341,51457841,51511937,51645917,51672497,51717592,51734237,51985841,52020045,52035403,52037057,52051424,52062557,52093742,52105242,52121777,52147037,52226222,52239041,52305147,52493117,52565441,52605341,52695630,52731677,52755137,52774015,52801841,52963037,53018078,53023517,53068541,53223857,53253041,53394423,53414395,53425457,53607041,53675441,53736317,53749757,53809841,53820928,53836337,53841987,53875841,53935358,54062717,54065822,54137571,54326318,54339377,54380957,54426628,54468737,54486077,54520541,54549041,54582977,54593050,54786540,54828317,54849341,54875441,54975038,54982877,55077041,55101341,55130237,55144577,55177757,55201217,55219841,55233518,55247537,55261277,55356732,55458737,55488048,55565441,55581377,55657995,55681841,55715357,55751837,55782424,55812017,55846337,55856477,55873217,55886635,56014877,56078237,56092097,56132477,56142941,56208672,56238257,56251841,56275997,56313750,56370077,56395697,56434397,56448651,56470577,56474237,56476407,56493617,56508797,56536541,56542337,56545842,56549057,56560541,56561597,56563841,56621044,56682904,56764260,57040281,58031704,58179844,58182291,58271595,58438976,58480792,58541342,58557852,59056450,59368528,59663678,59945691,60068000,60282158,60528542,60548544,60591175,60651518,60889947,61821970,61928625,62030050,62156368,62183895,62194467,62199028,62424054,62755227,63138362,63234756,63236787,63328818,63403864,63559742,63679118,63768267,64097274,64399731,64518424,64786695,64944715,65137735,65148979,65285667,65511660,65671851,65743848,65790891,65919902,66057200,66329488,66500942,66789594,66847838,67063962,67078891,67200775,67322211,67573330,67576500,67852504,67985668,68108702,68117112,68336078,68562878,68682795,68889844,68966727,69105808,69182104,69239822,69352142,69879104,69925914,69955627,69979335,70023038,70356542,70391044,70730392,70867740,70909502,70942495,71129678,71172184,71329347,71677598,72081600,72195487,72221918,72444715,72583227,72709410,72777988,73160043,73261648,73961829,74186364,74314350,74336290,74436060,74477464,74620674,74644624,74679422,75391450,75428151,75592256,75931358,76334067,76631751,76652078,76743483,76754462,76887040,77163163,77241885,77556704,77744034,77829867,77871182,77933658,78165282,78180775,78472958,78613992,78635515,78664708,79267262,79268640,79398464,79571691,79646215,79828228,79838050,80068707,80149838,80635118,80640930,80702427,81087996,81091800,81262744,81690062,82258142,82391344,82419354,82509267,82633982,83471198,83787147,83872792,83975202,84039571,84205598,84538795,84553216,84794331,84816235,84840638,84930782,84957592,85041288,85110638,85130994,85379342,85847215,85861108,86016992,86353502,86431731,86497920,86616158,86675815,86856451,86933658,86995828,87223982,87251292,87278788,87568142,88017495,88317100,88440741,88502702,88689268,89177220,89203548,89323272,89584718,89711704,90197660,90469740,90481262,90651844,90811963,91042887,91228275,91420587,91597118,91832558,91954625,92264448,92278203,92600308,92690262,92746135,92877508,92990318,93041515,93069970,93293582,93571219,93744158,93816930,93885328,94220824,94263278,94356891,94362618,94629758,94809844,95122368,95163115,95290264,95575458,95577291,95623843,95671449,95805660,95848862,96026047,96416331,96501056,96598411,96615518,96769116,96957195,97229822,97310160,97424344,97766078,97850392,97969495,98089588,98162222,98227742,98361028,98488382,98903044,99066398,99129902,99256478,99339544,99486771,99757022,99936610,99963283,99976792,...,19318400454345440587973698962379846227432754502246324945698849432365702215433539935775612231017395981141866628881554724260326602831019314305153582770920245844520341836843814540147167346131333464179637670198007712380722751426050277395905460523554912284788513490606295753110213111732452941941005601353155918146294773939427465272068473743971554932448967831661652465273546186459785017412693881810057600880145747495882031532356651500427855971178908943225553904862722470172273181754592497390073200788596299104790234275267865600808983723768961660837207715723805690497171756875456690883515570323438279757100661162295785554239713311986959355010373548268619044639889007929907478853884192891090473125166999557385940347138126189345546214900402617198363074176130051959161741385821742319541680440120323787645832654632817021226329670221974200067307308790797453725946952712673264751058580135864153352598729658633882649177850816097437037578858571425156958684948000485382031066420412914539192990017870076068561838066329896469248228047080156753720968614174513147980828168017533372677201329196042254302920163405039534354274548632828175475607909918273867021995840992297080655863840651997262771651803720208578192725155197996141989424837549164036952220003468920801913110029918478897115515705884610299538141544509268270890087738817475468292448586371723325107815740421525354873315568422923667859496063167590017184353384153720994264250439191982475123974034104744535462907840698201295121275924597209329825929381064280216753846749997618678352921009404727240454377376914702022171062466888518167558069429838596963204014692648499756176743407054600385541439520267844316300473884436340315076798584262731659750382471796183786373011192885498366694814163769136568265128591912770992093397692878692420707998936530136736707908388994715132761167633198897254793144071387572455392697467369673451064595816401477810924796952359746418596087654969062321851189026848883218033422876007094210488377260338322279085127005692356656675740966323624905274172699344226621426362821162951345529632123714785882356088498746214388057863332933008956727465453401441837132813277173128102483167877400968601714364917042835868773578975034042039429747427915021781757952357185793201810655514545818293465992443042648510324209161888485310517465174053982646114443016433890623395135051125614405260167851140143688700406130593558903549034799519097183805507639745682969}
15043   319188440816875575363258514823497718537091856063174872378635377: {526085,631302,751550,901860,961984,1036173,1082232,1217511,1997261,2417093,2537873,2853230,3137717,3188397,3317873,3423876,3452990,3574046,3724293,3991917,4143588,4294862,4526517,5105780,5558693,5614862,6126936,6656277,6892803,7020461,7268228,7715973,7940990,7986916,8136305,8271221,8772213,9154613,9311981,9529188,9763566,10029230,10087653,10143581,10148788,10932376,10952573,11181821,11239685,11397693,11409880,11671757,11804093,11816030,11870417,11920197,12035076,12298923,12441837,12750533,12836115,12962613,13302830,13469717,13487622,13691856,14001573,14179236,14194193,14292376,14490830,14494781,14641575,15354677,15403338,15492422,15527141,15617680,15642485,15963396,15974030,16078923,16127813,16352021,16840893,16862990,16914557,17174872,17344635,17373062,17381861,17388996,17569890,17610717,17830385,17892677,18378597,18500944,18741216,18770982,19040261,19141575,19168836,19321731,19601777,19654077,19953677,20009285,20052893,20073821,20088398,20235588,20417680,20492561,20648375,20706830,20737037,20757893,20813562,20886302,20924157,21083868,21396462,21430677,21936333,22181630,22612085,22693197,22962446,22969890,23123093,23360030,24011142,24020942,24501216,24617921,24755381,24778050,24818660,24831230,24848196,25096013,25201406,25701213,25754155,25984838,26130173,26429920,26587421,26617956,26660117,26696973,26908037,27134502,27248595,27293222,27563868,27610622,27655493,27806261,28032036,28184133,28272341,28572446,28617701,28637237,28646990,28689843,29042021,29065168,29207477,29225693,29568341,29733660,29782392,29797476,29916305,30147566,30890397,30904986,31503173,31715904,32258093,32629301,32698314,33032990,33172238,33293213,33501988,33505191,33806957,34055013,34064213,34072046,34154575,34376388,34399541,34558277,34568846,34674941,34759046,35128742,35177981,35364830,35431685,35680392,35899566,35946461,36281693,36704253,36791650,37033781,37108382,37332686,37422237,37661133,37684661,37982030,38051198,38367797,38412317,38750861,38859524,38885021,39184997,39284693,39435256,39639588,39685361,39690182,39723230,40140441,40274733,40337798,40460035,40681781,40817780,40882430,40985490,41172557,41454093,41719985,41750990,41877101,41969342,42132196,42437796,42518022,43055236,43329837,43383185,43717856,43798085,44149980,44348261,44364663,44626805,44682497,44820113,45252893,45454085,45536678,45544996,45578237,45578436,45828533,46078982,46082990,46348437,46725668,47011421,47093312,47117606,47667876,48223877,48265457,48335597,48416853,48552042,48792250,48809621,48815237,48816902,48981336,49058916,49102437,49148702,49182588,49428038,49535630,49568885,49597541,49655780,50063982,50101188,50159741,50488373,50739182,50777741,51045077,51134104,51170693,51200813,51245582,51640037,51830990,51947462,51995957,52020446,52050837,52059822,52557702,52559500,52726053,52738382,52815075,52896638,52950693,52979976,52991573,53041742,53125553,53175117,53313062,53552166,53707877,53835230,53948276,54053585,54254213,54288326,54293997,54385277,54386822,54544902,54690758,54828821,55104003,55299588,55478381,55497461,55550030,55851357,56077685,56120990,56133233,56336080,56368037,56453621,56695672,56700260,57525867,57604721,57641246,57800050,58038302,58116830,58277253,58483238,58501124,58550700,58637822,58759493,59370941,59385317,59442756,59482662,59586936,59602473,59824430,59883473,60079601,60431942,60459933,60467582,60534341,60632273,61088357,61119326,61144216,61402276,61507480,61889093,62197188,62275661,62454080,62835933,63071400,63249797,63251726,63378090,63479397,63782631,63819461,63887512,63907293,64103942,64325246,64602276,64646990,64725956,64864302,64930118,64959662,65064280,65167781,65185797,65314046,65761478,65817053,65978813,66035846,66143224,66235013,66660036,67035303,67276160,67293222,67345188,67603296,67691357,67835717,67862116,68033285,68040312,68348037,68483175,68787243,69195915,69343646,69360060,69473656,69728030,69740196,69794117,69916421,70200677,70260840,70469597,70776305,70853630,70955325,71071793,71104901,71192564,71789316,71868206,71873157,71873451,72092426,72107261,72183428,72283773,72335933,72539630,72724805,73048720,73100990,73197315,73388693,73808976,73984064,74120853,74127398,74210660,74337893,74411127,74526717,74724878,74944896,75085000,75264868,75301876,75335853,75370961,75394456,75520913,75685680,75800486,75849422,75893813,75940437,75963197,75964382,76053708,76260977,76266101,76460981,76545351,77032526,77576388,77613461,77695460,77739857,77748785,78077136,78140613,78157863,78287873,78339333,78497741,78849821,79043445,79254830,79262357,79360046,79386113,79527117,79771637,79927588,80648030,80731392,80903037,81098733,81186596,81268133,81489477,81609638,81639942,81889575,81919997,82007477,82149662,82179810,82443221,82462557,82571500,82850277,82911860,82925956,82953137,83035098,83216741,83232072,83270837,83378981,83673636,83757077,84313008,84315716,84438424,84470625,84815630,84818763,84931566,84982085,85024356,85146390,85198301,85246301,85441862,85463032,85619093,85844261,85866308,85876397,86112305,86382260,86477630,86916638,86922101,86939117,86993222,87047556,87269766,87348880,87353582,87479693,87562468,87658464,87721188,87755141,87812013,87836778,87851141,87988805,87993158,88411973,88412990,88584675,88753061,88771181,88965230,89052792,89418616,89495517,89518133,89709062,89762948,89904782,90102000,90200333,90423237,90493382,90609077,90792813,90822816,90829541,90972485,90977277,91343822,91381397,91577060,91737821,91814822,91942541,91955636,92071733,92732955,92914673,93045075,93096830,93234552,93298542,93305780,93365966,93484757,93636081,93947693,94490320,94707543,94852134,94993227,94994702,95105796,95136326,95150357,95339613,95403341,95518677,95923133,96108800,96145911,96698621,96777636,96945880,97227317,97321022,97546724,98199221,98267490,98330885,98615772,98699822,98731121,98879853,98915152,99085800,99248080,99311246,99439142,99494232,99596102,99751413,99785285,99957341,99968582,...,25757867272460587450631598616506461636577006002995099927598465909820936287244719914367482974689861308189155505175406299013768803774692419073538110361226994459360455782458419386862889794841777952239516893597343616507630335234733703194540614031406549713051351320808394337480284148976603922588007468470874557528393031919236620362757964991962073243265290442215536620364728248613046689883591842413410134506860996661176042043142202000570474628238545257634071873150296626896364242339456663186764267718128398806386979033690487467745311631691948881116276954298407587329562342500608921178020760431251039676134214883061047405652951082649279140013831397691492059519852010573209971805178923854787297500222666076514587129517501585794061619867203489597817432234840069278882321847762323092722240586827098383527776872843756028301772893629298933423076411721063271634595936950231019668078106847818871136798306211511843532237134421463249383438478095233542611579930667313842708088560550552718923986690493434758082450755106528625664304062773542338294624818899350863974437557356711163569601772261389672403893551206719379139032731510437567300810546557698489362661121323062774207818454202663017028869071626944770923633540263994855985899783398885382602960004625227735884146706557971862820687607846147066050855392679024361186783651756633957723264781828964433477087653895367139831087424563898223812661417556786689579137845538294659019000585589309966831965378806326047283877120930935060161701232796279106434572508085706955671795666663491571137228012539636320605836502552936029561416622518024223410759239784795950938686256864666341568991209406133847388586027023792421733965179248453753435731445683642213000509962394911715164014923847331155593085551692182091020171455883694656124530257171589894277331915373515648943877851992953510348223510931863006390858761850096607190263289826231268086127755201970414566395936479661891461450206625416429134918702465177624044563834676125613984503013784429705446836007589808875567654621764833207032230265792302161901817094883935127372842831619714509808117998328285850743817777244011942303287271201922449510417702897504136644223836534624802285819889390447825031438633378722719239663237220029042343936476247724269080874019394424391287989924056864680432278882517980414023286898738643528152590688578520831193513401500819207013557134853524918267208174124745204732046399358796245074010186327577292}
15044   320632108113130911572072695691947153897235496519553299532195263: {195403,330682,465403,841736,870754,913963,946953,1127325,1202480,1352790,1381564,1442976,1449859,1623348,1767994,2185474,2337259,2866243,3077434,3305083,3373954,4090459,4251196,4279845,4497082,4524259,4565168,4610803,4850554,4870003,4965724,5135814,5144674,5179485,5322556,5361069,5524784,5673082,5907514,6035356,6215382,6258682,6382225,6442293,6784354,7089259,7658670,7773754,7846123,8005882,8169248,8353594,8422293,8763259,8846203,8875036,9085285,9162682,9190404,9259843,9565829,9983645,10287964,10542394,10734043,10902342,10943074,11400034,11696284,11703883,11911485,11969794,11980374,12310882,12505829,12685985,12705584,13018088,13104514,13218259,13450204,13665470,13951354,14262350,14289082,14293782,14473363,14513914,14645349,14794594,15028013,15043845,15186874,15196924,15223182,15633283,15893596,16046768,16188326,16245283,16303354,16398564,16589116,16777003,17079259,17114820,17136514,17283484,17724045,17855674,17865470,17983496,18052614,18128083,18186682,18255808,18462082,18668764,18792034,18905648,19340674,19522100,19674859,19747723,19954245,20106082,20231433,20537784,20596474,20688403,21118459,21139834,21268854,21284528,21438564,21468590,21735682,21736245,21829459,22252603,22454524,23105007,23126180,23185328,23229859,23238633,23299123,23350882,23426520,23480956,23575459,23945094,23961045,24504796,24533563,24601459,24669283,24988288,25004794,25027976,25294485,25432022,25522100,25544443,25558448,25762308,26059593,26083494,26205436,26209363,26354835,26980784,27325882,27582259,27751416,27849082,27898876,28111824,28156473,28288723,28318594,28422754,28479883,28528616,28574236,28753254,28890682,28942594,29112403,29175259,29248444,29737723,29799859,30132597,30257596,30353382,30626520,30903394,31023325,31027459,31060245,31220343,31329453,31390123,31415554,31625802,31929259,32014856,32094693,32282554,32285443,32668288,33037400,33048283,33130928,33246082,33272445,33549154,33970459,34198123,34268284,34311523,34443669,34454835,34505849,34593763,35040045,35097259,35205754,35305594,35490608,35505082,35595964,35868883,36016713,36031413,36141043,36179336,36201274,36250882,36331460,36465259,36751824,37167075,37211683,37227990,37239682,37246845,37272294,37376048,37535074,37578844,37736203,37802109,38047459,38253124,38417794,38759674,38763643,38864803,38905954,38977257,39116443,39441082,39644880,39709856,39729968,39926934,40056259,40360834,40540459,40701753,40732123,40779859,40939833,41187196,41206648,41253259,41345802,41415933,41657914,41877485,41903923,42048054,42178459,42223963,42287872,42516154,42675043,42858669,42970485,43038082,43074859,43510882,43597752,43685203,44532643,44574259,44600490,44673588,44696214,44742341,45221349,45230323,45391459,45406684,45835184,46024483,46128994,46357479,46563259,47124859,47281594,47526403,47573856,47694082,47848459,47866088,47989723,48196474,48574405,48746083,48939004,49047471,49176643,49285882,49294070,49466554,49549485,49608713,49721323,49758357,49877563,49896316,49970443,50214844,50252982,50602459,50679394,50777203,51022225,51036514,51108069,51313459,51340963,51564582,51703354,51744883,51849859,51853269,52013314,52132603,52138569,52145914,52208203,52258243,52665245,52693113,52813003,52852784,52974283,53026234,53042323,53047245,53064859,53087323,53264443,53501189,53520588,53551354,53682274,53699644,53808259,53819045,53849349,53987194,54117634,54118723,54375259,54393043,54480883,54617683,54647320,54700843,55026682,55176259,55187475,55246459,55272124,55285114,55314859,55368283,55496803,55500034,55662573,55687459,55889923,55901573,55957963,55999029,56031403,56091883,56172163,56298523,56335459,56461459,56540083,56580259,56583728,56690696,56781154,56931245,56950882,56973045,57076797,57416314,57585082,57773116,57875321,58289286,58407085,58866640,59152884,59424634,59459382,59535273,59584845,60085882,60332794,60456034,60506697,60771248,60789449,61151674,61226670,61323645,61478235,61518082,61797916,61883194,62069725,62166274,62626485,62770234,62954013,63198294,63330682,63490234,63557168,63656694,63729082,63777033,63917630,64521082,64555804,64582854,64736056,64875394,65110882,65308448,65345794,65411888,65469916,65576784,65699375,65930554,65970149,66224970,66627514,66751976,66801584,66897154,67012474,67434082,67435345,67663234,68305017,68317494,68347234,68367654,68385082,68574082,68611834,69118473,69124485,69401116,69413096,70034554,70076936,70088502,70301404,70420100,70600924,70639968,70676409,70869590,70875325,70900156,71402888,71501814,71689474,71725882,72233914,72270082,72391996,72726536,72828063,73126405,73188375,73225353,73347682,73472004,73588374,73723053,73732784,73739194,73773882,73845634,73883621,74142057,74199394,74303445,74375674,74468476,74483670,74780153,75095973,75151782,75840634,75944194,76108773,76150882,76288354,76430270,76699234,76701156,76752845,76801594,76868373,76884350,77480314,77703004,77746485,77884474,77921193,78030669,78067600,78089733,78219514,78241289,78519682,78836553,78839250,79107573,79257008,79275053,79310216,79344957,79449248,79469964,79562613,79859390,79968514,79969593,80196154,80328249,80613244,80649082,80752845,80907445,80922414,81330350,81418234,81432489,81580233,81735994,81817353,81925882,82036137,82679030,82866682,82929584,82949382,83053114,83300794,83325045,83516674,83781244,83793082,84095200,84181485,84504120,84639196,84827645,84975874,85043508,85050390,85209724,85483834,86136368,86461869,86485736,86550758,86631682,86700075,86842070,86914396,87057453,87066682,87175245,87239674,87325954,87724857,87751686,87826050,87956733,88880048,88990705,89021314,89164134,89223993,89380404,89628514,89724296,89736645,89793584,90137728,90173794,90229285,90255034,90444034,90524794,90647913,90701373,90720416,90922601,91130716,91192829,91218682,91310900,91640314,91678989,91716324,91771234,91875682,92005882,92103414,92239234,92261220,92480080,92763325,92986928,93295782,93537082,93681120,93856250,94081085,94127345,94158082,94243070,94602662,94607100,94671994,94877589,95034754,95067135,95719088,95830876,95831268,95867194,95996197,96155913,96378364,96487869,96565114,96657082,96903414,96908674,96970485,97074857,97088934,97119325,97296453,97395177,97439493,97450882,97540354,97596420,97971069,98137594,98203234,98312314,98411968,98642217,98658682,98827804,98979682,99053769,99214836,99319493,99368956,99423034,99485794,99714682,99838714,99909485,99921082,99926528,99990054,...,38636800908690881175947397924759692454865509004492649891397698864731404430867079871551224462034791962283733257763109448520653205662038628610307165541840491689040683673687629080294334692262666928359275340396015424761445502852100554791810921047109824569577026981212591506220426223464905883882011202706311836292589547878854930544136947487943109864897935663323304930547092372919570034825387763620115201760291494991764063064713303000855711942357817886451107809725444940344546363509184994780146401577192598209580468550535731201617967447537923321674415431447611380994343513750913381767031140646876559514201322324591571108479426623973918710020747096537238089279778015859814957707768385782180946250333999114771880694276252378691092429800805234396726148352260103918323482771643484639083360880240647575291665309265634042452659340443948400134614617581594907451893905425346529502117160271728306705197459317267765298355701632194874075157717142850313917369896000970764062132840825829078385980035740152137123676132659792938496456094160313507441937228349026295961656336035066745354402658392084508605840326810079068708549097265656350951215819836547734043991681984594161311727681303994525543303607440417156385450310395992283978849675098328073904440006937841603826220059836957794231031411769220599076283089018536541780175477634950936584897172743446650215631480843050709746631136845847335718992126335180034368706768307441988528500878383964950247948068209489070925815681396402590242551849194418659651858762128560433507693499995237356705842018809454480908754753829404044342124933777036335116138859677193926408029385296999512353486814109200771082879040535688632600947768872680630153597168525463319500764943592367572746022385770996733389628327538273136530257183825541984186795385757384841415997873060273473415816777989430265522335266397794509586288142775144910785394934739346902129191632802955621849593904719492837192175309938124643702378053697766436066845752014188420976754520676644558170254011384713313351481932647249810548345398688453242852725642325902691059264247429571764712176997492428776115726665866017913454930906802883674265626554346256204966335754801937203428729834085671737547157950068084078859494855830043563515904714371586403621311029091636586931984886085297020648418323776970621034930348107965292228886032867781246790270102251228810520335702280287377400812261187117807098069599038194367611015279491365938}
15045   322082252633074487686486052889548365536393248745262500760539277: {496023,736519,1052170,1262604,1306131,1503100,1726955,1803720,1923968,2029185,2072346,2164464,2435022,2651991,2808179,3278211,3708211,3994522,4616151,4834186,5060931,5075746,5313995,5706460,6207155,6275434,6376794,6635746,6653195,6745623,6847752,6905980,7148092,7275831,7448586,7544195,7703721,7717011,7983834,8287176,8509623,8589724,8861271,9053034,9323073,9388023,10176531,10211560,11093795,11117386,11229724,11390827,11488005,11660631,12008823,12241111,12253872,12530391,12859955,13312554,13650263,13744023,13785606,14040922,14398663,14536456,14620355,15013907,15431946,15735559,15813591,15881980,15973832,16272610,16353513,16414611,16542442,16812755,17100051,17544426,17954691,17970561,18053099,18247211,18309226,18466323,18623962,18996155,19058376,19527132,19656771,19866995,19989931,20058460,20175306,20287162,20297576,20402747,20498205,20736395,20927031,21145891,21393525,21433623,21440673,21604355,21770871,21864752,21899479,21905146,22191891,22363642,22435447,22449779,22479370,22602707,22780311,22795386,22819760,22834773,23335955,23343514,23608186,23632060,23740834,23840394,24070152,24282489,24402625,24414983,24455031,24597846,24883674,24962539,25501066,25591427,25672230,25704771,25925226,26605660,26783511,26798205,26939434,26975244,27078921,27280023,27310679,27383712,27514147,27693123,28003146,28012999,28068155,28188051,28358472,28388386,28518551,28584752,28822139,28907725,28981660,28989562,29011011,29204311,29283150,29351195,30159123,30630995,30709354,30806676,30894711,30984844,31044919,31054282,31185143,31235360,31284970,31507411,31656919,31709751,31902625,31903281,31926792,31948060,32157846,32202885,32255626,32488523,32603523,32704042,32756795,33026759,33175619,33681786,33725980,33735379,33829114,34349744,34681139,34689270,34746124,34763722,34777992,34873595,34944403,35026323,35139780,35221434,35660770,35717795,35785354,35917641,36055817,36560555,36757194,37001888,37482432,37507191,37541964,37688507,37821995,38080522,38148033,38283150,38337672,38643462,39125241,39203554,39308154,39316567,39907354,40018570,40105786,40147642,40176796,40471176,40654003,40815863,40835360,40985122,40988823,41296750,41413660,41425847,41474074,41515786,41627124,41772604,41773623,41848314,41882827,41963651,42167736,42477891,42634131,42732503,42792924,42835355,42861354,43129881,43336023,43413891,43637467,43872666,44354227,44363260,44494955,44866583,45224170,45386394,45414325,45530073,45601523,45924892,45939780,46246186,46355091,46720060,46862131,46973555,47123331,47438703,47510243,47816405,48022284,48041884,48423831,49002432,49235842,49510762,49556100,49604359,49637320,49662460,49669019,49696392,49869123,50192026,50323731,50367383,50402812,50693431,51318179,51402426,51483995,51508310,51969676,52260346,52808631,52859840,52958391,53174842,53235912,53257623,53320234,53393946,53816074,54269004,54301911,54376323,54497190,54586444,55127736,55221244,55310986,55528483,55612522,55841985,55859523,55908441,56060887,56064072,56302611,56368266,56544682,56644049,56758355,57144892,57235402,57274474,57293980,57379686,57626691,58084042,58130336,58139511,58358931,58407979,58414954,58451386,58610119,59114267,59136682,59161623,59467320,59564784,59594952,59832610,59890401,60295132,60541251,60736459,61108631,61173755,61317319,61780794,61809972,62018703,62370395,62477527,62486871,62768555,63006346,63072081,63431808,63635719,63774231,64240307,64381747,64516186,64534499,64546163,64557123,65152583,65258602,65266323,65353139,65396628,66065980,66344476,66586426,66616771,66900735,67003976,67010382,67044321,67124555,67492907,67613914,68110026,68128426,68144092,68309150,68752776,68799082,68990003,69090155,69116554,69137692,69193491,69349882,69396439,69518092,70257484,70355962,70446419,70716059,70729660,70863370,70922391,71101943,71360784,71541123,71799132,71892922,72195331,72216395,72294711,72563386,73408506,73583300,73928823,73941105,74067562,74199831,74216764,74467331,74665372,74844474,74886839,75042103,75322266,75369322,75379473,75675019,75964060,76019091,76102396,76471267,76554771,76735594,76824634,77247395,77346873,77501722,77555031,77719048,77770042,77808779,78019971,78218871,78224147,78369994,78508759,78546743,78569386,78870512,79279176,79370722,79380364,79446460,79539351,79711523,80280882,80327031,80523411,80549466,80675596,80694755,80920070,80980791,81176451,81262151,81363562,81635560,81764860,81837395,81970980,82345114,82540023,82908186,82927671,83250051,83282251,83439970,83501980,83507939,83754202,83938684,84264392,84875592,85036044,85171731,85272983,85426323,86110472,86124471,86269459,86377623,86659674,86751395,86766370,87433929,87435712,87498211,87596170,87752663,87876755,88025125,88086379,88251155,88299960,88625195,88674043,88696522,88729326,89110331,89136951,89189073,89253610,89277191,89364994,89524907,89640226,90128823,90489995,90499191,90505786,90684051,90908170,91073356,91089992,91156474,91156872,91276811,91536119,91657066,91727511,91840005,92157964,92165980,92277123,92696874,92824791,92909767,93085595,93249411,93284279,93451336,93931127,94022842,94155351,94186624,94235212,94275571,94797441,94996023,95235351,95246599,95271083,95335752,95485041,95593623,95876445,96427543,96447754,96530914,96671194,96781623,96807707,96833706,96874281,97104084,97128755,97313091,97584500,97619242,97630474,97633804,97666323,97962672,98018691,98117832,98204874,98297404,98365176,98856076,98895831,99071260,99086827,99137770,99195082,99296419,99311560,99337455,99712259,99888731,99941271,...,57955201363036321763921096887139538682298263506738974837096548297097106646300619807326836693052187943425599886644664172780979808493057942915460748312760737533561025510531443620441502038394000392538913010594023137142168254278150832187716381570664736854365540471818887259330639335197358825823016804059467754438884321818282395816205421231914664797346903494984957395820638559379355052238081645430172802640437242487646094597069954501283567913536726829676661714588167410516819545263777492170219602365788897314370702825803596802426951171306884982511623147171417071491515270626370072650546710970314839271301983486887356662719139935960878065031120644805857133919667023789722436561652578673271419375500998672157821041414378568036638644701207851595089222528390155877485224157465226958625041320360971362937497963898451063678989010665922600201921926372392361177840858138019794253175740407592460057796188975901647947533552448292311112736575714275470876054844001456146093199261238743617578970053610228205685514198989689407744684141240470261162905842523539443942484504052600118031603987588126762908760490215118603062823645898484526426823729754821601065987522976891241967591521955991788314955411160625734578175465593988425968274512647492110856660010406762405739330089755436691346547117653830898614424633527804812670263216452426404877345759115169975323447221264576064619946705268771003578488189502770051553060152461162982792751317575947425371922102314233606388723522094603885363827773791627989477788143192840650261540249992856035058763028214181721363132130744106066513187400665554502674208289515790889612044077945499268530230221163801156624318560803532948901421653309020945230395752788194979251147415388551359119033578656495100084442491307409704795385775738312976280193078636077262123996809590410210123725166984145398283502899596691764379432214162717366178092402109020353193787449204433432774390857079239255788262964907186965553567080546649654100268628021282631465131781014966837255381017077069970027222898970874715822518098032679864279088463488854036588896371144357647068265496238643164173589998799026870182396360204325511398439831519384307449503632202905805143094751128507606320736925102126118289242283745065345273857071557379605431966543637454880397977329127945530972627485665455931552395522161947938343329049301671870185405153376843215780503553420431066101218391780676710647104398557291551416522919237048907}
15046   323538903204313341532918193288265419374154488182578290036458162: {390806,435493,661364,930806,1331173,1578255,1598473,1683472,1741508,1827926,1878875,1893906,2219653,2254650,2404960,2484793,2661193,2705580,2763128,2885952,2899718,3108519,3246696,3451429,3535988,3652533,3887929,4322629,4370948,4674518,5100553,5701573,5732486,5991783,6128713,6154868,6610166,6747908,7133075,7251279,7315129,7399333,7613619,8070373,8180918,8502392,8559690,8632475,8653753,8935115,8994164,9048518,9130336,9221606,9413151,9481033,9565191,9701108,9727813,9740006,9931448,9953619,10271628,10289348,10301113,10358970,10627129,10645112,10722138,10737155,11049568,11172879,11346164,11356453,11815028,11919673,11975751,12070712,12430764,12517364,12559033,12719399,12764450,12884586,13568708,13579551,13977103,14037155,14178518,14215429,14682853,15317340,15547508,15692246,16011764,16145929,16338496,16450633,16676079,16707188,16829893,16844586,17526518,17657929,17692406,17732773,17750072,17760379,18170570,18325364,18380808,18519686,18699193,19131658,19434313,19507429,19852475,19967290,19968831,19982303,20234629,20575928,20595529,20678409,21026233,21061383,21084788,21311929,21468086,21804684,21886148,22792933,22800068,23071429,23147919,23392568,23407766,23693833,23822970,23939588,23960748,24408915,24621764,24813663,25011658,25073075,25371970,25411168,26036176,26058853,26125129,26209028,26316639,26436518,26521273,26783929,26900408,27045433,27330940,27463839,27500293,27758629,27902708,27935943,28524700,28578164,28587564,28653733,28946726,29027828,29290698,29540075,29589188,29659429,29907973,30056026,30087690,30262959,30278629,30340153,30373748,30393848,30430743,30446364,31133413,31266566,31787192,31795129,31854853,32093536,32376652,32448133,32490566,32606708,32683429,32797128,32857719,33178232,33257075,33324553,33545463,33554006,33719055,34071013,34158518,34193079,34229640,34273028,34467913,34566968,34693129,35015271,35195653,35251129,35412279,35448090,35472313,35582473,35611251,35711348,35730940,35760591,35966992,36105228,36227075,36256166,36373364,36511616,36896769,36924164,37200313,37325511,37337528,37358533,37584068,37811296,38251599,38396773,38508345,38681348,38731055,38887839,39005893,39044200,39156553,39349718,39495446,39505573,39703429,39908490,39935075,39998053,40144393,40212164,40409151,40462866,40627513,40866373,41075568,41192948,41376806,41385529,41803813,42004719,42157475,42236918,42279668,42487993,42537708,42569056,42582579,42757129,42877128,42937180,42979429,43432655,43471364,43472490,43484343,43658918,43678693,43924725,44106373,44317513,44505206,44693029,44909048,45265573,46064031,46210014,46252360,46370656,46444933,46459718,46477266,46581423,46598246,46701764,46853040,46927455,46961912,47150918,47195173,47559493,47738953,47890188,47922090,47951929,48236769,48383439,48643129,48811429,49009592,49056063,49067126,49109833,49142629,49175353,49202918,49338566,49594213,49939129,49976576,50009588,50055952,50062393,50220995,50275333,50425273,50522679,50588970,50743671,50864044,51044200,51088886,51116896,51147973,51524616,51559993,51640453,51667129,51767075,52033905,52119186,52145583,52160293,52166988,52215755,52410872,52418726,52531273,52709670,52793029,52832151,53158213,53491155,53650873,53678031,53773129,53961568,54236233,54416953,54607429,54651764,54837253,55007929,55097353,55135791,55164518,55226629,55442053,55454075,55493029,55502832,55698164,55741753,55797752,55849033,56077129,56111113,56206153,56223648,56277433,56297413,56312946,56424133,56438713,56486629,56509093,56522629,56577446,56591173,56594233,56594953,56595493,56595529,56637188,56845508,56959766,57057232,57120783,57148472,57406115,57424725,57506508,57781364,57885188,57965193,58224806,58350518,58400075,58496888,58628479,58805331,58962231,59475446,59599718,59861031,60027855,60052355,60158679,60221463,60265194,60515192,60706764,61253040,61477683,61806788,61945125,62046650,62054918,62078075,62120490,62211111,62273679,62440686,62658906,62772471,62780246,62831108,63003515,63251604,63858518,64029712,64189386,64292031,64565108,64570886,64962095,65336576,65808999,66074800,66096566,66261856,66492164,66544890,67098308,67836255,67940918,68004167,68079591,68233055,68396246,68536568,68623046,68887338,68909670,69011698,69026555,69187526,69369279,70080090,70194518,70411508,70611188,70981216,71010164,71191928,71431115,71617475,71737766,72033426,72062826,72282086,72358672,72402548,72501764,72662920,72930518,73503648,73731343,73853763,74266143,74330663,74334150,74423366,74455980,74479364,74493690,74544588,74752096,75070148,75157688,75288039,75346663,75368915,75472406,75604218,76094918,76506248,76835588,77103639,77262465,77519348,77527286,77729606,77811908,77954514,78232886,78390519,78882164,79289760,79419712,79459936,79703743,79762263,79853868,79980351,80090919,80112518,80721668,80724111,81080918,81403506,81464246,81559718,81745785,81769919,81879666,82374392,82413296,82506518,82582475,82691604,82831866,82930595,82966479,83315828,83418783,83754970,83807846,84096108,84356918,84447926,84552399,84575744,84817023,85032308,85180115,85350086,85717338,85853103,85911711,85940970,86069529,86076164,86149718,86422115,86897615,87021764,87126063,87195504,87370406,87622431,87677079,87821855,88412075,88705023,89065286,89148518,89200980,89347176,89392428,89484682,89748915,90442698,90460646,90782918,90813368,91670368,91979125,92048966,92257988,92671191,92714958,92770955,93126518,93331715,93688699,94249718,94409483,94509519,94563188,94955075,95052806,95127995,95147712,95388164,95696918,95732176,95979446,96392948,96774279,97148810,97492166,97878008,97887903,98094942,98353286,98571764,98588140,98933108,99098970,99217426,99225455,99308075,99442646,99516714,99755126,99792632,99879639,99940886,...,77273601817381762351894795849519384909731018008985299782795397729462808861734159743102448924069583924567466515526218897041306411324077257220614331083680983378081367347375258160588669384525333856718550680792030849522891005704201109583621842094219649139154053962425183012440852446929811767764022405412623672585179095757709861088273894975886219729795871326646609861094184745839140069650775527240230403520582989983528126129426606001711423884715635772902215619450889880689092727018369989560292803154385196419160937101071462403235934895075846643348830862895222761988687027501826763534062281293753119028402644649183142216958853247947837420041494193074476178559556031719629915415536771564361892500667998229543761388552504757382184859601610468793452296704520207836646965543286969278166721760481295150583330618531268084905318680887896800269229235163189814903787810850693059004234320543456613410394918634535530596711403264389748150315434285700627834739792001941528124265681651658156771960071480304274247352265319585876992912188320627014883874456698052591923312672070133490708805316784169017211680653620158137417098194531312701902431639673095468087983363969188322623455362607989051086607214880834312770900620791984567957699350196656147808880013875683207652440119673915588462062823538441198152566178037073083560350955269901873169794345486893300431262961686101419493262273691694671437984252670360068737413536614883977057001756767929900495896136418978141851631362792805180485103698388837319303717524257120867015386999990474713411684037618908961817509507658808088684249867554072670232277719354387852816058770593999024706973628218401542165758081071377265201895537745361260307194337050926639001529887184735145492044771541993466779256655076546273060514367651083968373590771514769682831995746120546946831633555978860531044670532795589019172576285550289821570789869478693804258383265605911243699187809438985674384350619876249287404756107395532872133691504028376841953509041353289116340508022769426626702963865294499621096690797376906485705451284651805382118528494859143529424353994984857552231453331732035826909861813605767348531253108692512409932671509603874406857459668171343475094315900136168157718989711660087127031809428743172807242622058183273173863969772170594041296836647553941242069860696215930584457772065735562493580540204502457621040671404560574754801624522374235614196139198076388735222030558982731876}
15047   325002088781723474015583627869135831799096314274438028213150339: {586209,826705,992046,1396209,1473038,2104340,2176885,2417737,2525208,2612262,2741889,2840859,3006200,3138553,3318757,3381975,3453910,3607440,3798289,3847936,4058370,4144692,4328928,4338757,4349577,4419985,4870044,5303982,5463685,5616358,6556422,7011777,7416422,7439593,7693585,7989044,8434885,8598729,8690017,8735089,9232302,9314473,9668372,9915249,10121862,10151492,10561873,10627990,11032153,11242705,11412920,11971417,12126385,12271377,12414310,12550868,12753588,12839535,12861685,12997633,13271492,13306390,13491246,13572777,13695504,13811960,13832409,14128969,14182705,14296184,14551662,14610009,14633113,14768785,14897172,15088390,15407442,15434022,15522853,15531313,15538455,15646705,15939913,15967668,16083207,16132129,16574352,16780249,16960885,17019246,17179448,17571433,17722542,18003937,18106068,18549289,18561637,18646146,18776046,19146675,19326879,19434385,20014705,20079193,20176993,20353062,20423120,20468497,20883985,21090217,21267777,21809833,22187590,22234772,22459448,22707973,22777513,22781654,22906705,22976010,23048737,23321262,23537857,23538369,24017646,24399793,24482222,24507744,25060782,25102729,25261849,25266879,25633093,25696033,25719910,26289777,26355985,26458933,26531557,26538609,26594617,26625108,27144937,27255855,27300526,27314353,27356353,27357685,27488046,27571212,27779529,27813793,28081844,28500085,28697487,28797326,29030953,29049793,29072912,29240710,29330677,29924485,29950935,30027814,30228097,30246097,30775873,30777205,30863892,31471118,31511689,31627182,31763960,31947664,32202129,32276257,32545220,32638033,32670337,32707026,32761285,32829222,33084884,33625510,34073329,34163675,34200102,34225249,34666129,34878385,35088852,35111649,35187433,35655875,35722705,35734455,35909382,35941122,36106198,36156793,36284785,36336289,36494422,36618452,36855169,36932646,36986485,37078633,37232977,37247924,37517487,37967185,37992310,38057955,38116752,38194393,38531749,38761273,38901313,39054264,39244753,39295417,39313542,39654777,39733990,39979862,40116920,40350612,40470815,40574324,40595152,40758385,40805494,40996410,41037433,41091673,41196457,41472790,41780233,41854062,42122449,42291782,42787050,42830113,42841285,42867246,42881346,42883393,43208710,43420089,43514137,43541742,43695553,43729504,43798958,43810292,43936047,44383782,44639185,44663675,44727284,44870894,44899558,44958740,44970673,45084039,45131535,45191593,45205414,45466705,45560622,45590772,45639520,45669546,45859513,45926089,46155205,46671910,46687028,46899849,46908937,46980085,47216372,47264120,47481668,47680788,48140304,48236929,48351685,48564978,48735849,48805250,48823033,48829966,48910062,49195692,49767348,49818073,49925078,50004913,50173273,50265205,50331009,50502049,50691289,50782969,51002132,51182854,51184777,51237777,51344460,51409542,51491185,51850452,51967849,52849585,52950793,53172135,53211320,53567022,53596410,53671475,53684737,53878868,53892709,53950488,54157842,54339205,54384249,54489193,54560046,54621358,54767424,54843553,55028294,55386246,55512433,56006292,56025998,56136310,56148469,56155249,56376102,56555713,56716944,56776772,57014089,57037102,57169504,57644278,57815450,57963320,57979124,58022022,58377205,58408622,58566300,58610917,58702390,59024577,59092129,59218753,59243169,59525089,59862735,59969497,59977249,60318246,60648757,60694299,61105033,61261990,61418708,61613352,61733089,61789422,61791409,61969688,62065209,62089838,62108564,62284357,62292937,62370286,62470720,62511985,62569940,63014822,63061993,63191113,63313838,63355377,63419502,63580055,63805250,63806562,63853584,63896120,63928513,64248949,64315692,64405770,64511252,64977046,65102593,65207046,65208735,65408084,65488377,65513590,65762977,65806873,65834809,66023257,66053518,66351238,66574693,66757809,66942967,67181137,67363572,67451960,67470758,67658228,67994713,68314705,68541097,68670673,68699488,69315021,69362278,69378540,69471877,69492248,69527444,69555984,69622705,69689577,69715899,69747190,69888806,69897369,70052646,70279560,70442868,70726377,70796485,70947817,71056885,71111689,71321540,71435590,71570708,71835282,71883135,71887489,71923393,72077593,72111634,72116377,72118513,72126793,72226705,72355369,72356485,73121110,73404997,73514388,73600689,73804377,74003776,74007849,74964864,75014382,75083928,75377014,75433249,75643990,75883455,76161044,76281829,76286593,76296066,76566300,76585477,76633329,76675344,76700833,76839337,77255137,77258485,77286924,77474953,77938993,78178779,78250482,78309157,78407108,78538885,78616308,78628089,78633134,78734233,79064505,79064857,79288357,79461697,79603009,79793593,79814708,80037140,80211572,80295284,80353592,80411089,80706385,80875813,80942352,81289969,81308006,81631726,81670720,81942169,81970244,81977646,82126753,82593500,82711273,82746777,82827320,82842217,82851694,82948148,83031572,83115205,83254248,83519173,83545208,83547246,83557273,83696628,83765654,83872885,83927302,84029569,84335472,84424177,84469419,84672373,84727033,84866169,84955782,85221193,85268262,85439649,85465006,85585848,85643257,85670710,85722708,86259762,86615017,86672046,86827782,86962753,87180313,87274934,87287737,87318553,87337209,87525777,87581497,87745332,87875977,88014385,88263985,88708454,88711633,88712833,88726520,88762705,88795033,88989910,89213169,89399577,89733166,90224569,90397791,90448340,90503185,90627205,90772788,90828650,91060146,91203046,91548433,91714897,91849784,91879560,91955449,92492372,92710182,92827969,92940037,93069975,93082377,93099205,93180735,93297193,93440120,93661029,93724262,93837685,93947110,93953137,93974377,93988359,94070953,94170369,94246662,94877406,95020486,95125393,95632810,95686849,95787777,95949169,96044485,96044568,96083768,96284079,96726217,96847662,96856329,96899185,97115233,97254289,97264885,97861753,98004864,98225713,98471684,98602705,98758117,99021524,99112200,99144849,99195769,99208718,99272209,99274640,99324920,99338038,99392784,99725893,99738246,99817335,...,115910402726072643527842193774279077364596527013477949674193096594194213292601239614653673386104375886851199773289328345561959616986115885830921496625521475067122051021062887240883004076788000785077826021188046274284336508556301664375432763141329473708731080943637774518661278670394717651646033608118935508877768643636564791632410842463829329594693806989969914791641277118758710104476163290860345605280874484975292189194139909002567135827073453659353323429176334821033639090527554984340439204731577794628741405651607193604853902342613769965023246294342834142983030541252740145301093421940629678542603966973774713325438279871921756130062241289611714267839334047579444873123305157346542838751001997344315642082828757136073277289402415703190178445056780311754970448314930453917250082640721942725874995927796902127357978021331845200403843852744784722355681716276039588506351480815184920115592377951803295895067104896584622225473151428550941752109688002912292186398522477487235157940107220456411371028397979378815489368282480940522325811685047078887884969008105200236063207975176253525817520980430237206125647291796969052853647459509643202131975045953782483935183043911983576629910822321251469156350931187976851936549025294984221713320020813524811478660179510873382693094235307661797228849267055609625340526432904852809754691518230339950646894442529152129239893410537542007156976379005540103106120304922325965585502635151894850743844204628467212777447044189207770727655547583255978955576286385681300523080499985712070117526056428363442726264261488212133026374801331109005348416579031581779224088155890998537060460442327602313248637121607065897802843306618041890460791505576389958502294830777102718238067157312990200168884982614819409590771551476625952560386157272154524247993619180820420247450333968290796567005799193383528758864428325434732356184804218040706387574898408866865548781714158478511576525929814373931107134161093299308200537256042565262930263562029933674510762034154139940054445797941749431645036196065359728558176926977708073177792742288715294136530992477286328347179997598053740364792720408651022796879663038768614899007264405811610286189502257015212641473850204252236578484567490130690547714143114759210863933087274909760795954658255891061945254971330911863104791044323895876686658098603343740370810306753686431561007106840862132202436783561353421294208797114583102833045838474097814}
15048   326471838448007197973491518105784308714306443352918403450218055: {255527,465527,781612,870986,1182551,1322728,1450247,1488069,1509647,1628351,1861612,2209557,2249447,2337887,2630425,2661551,2662346,2690927,2925647,3156510,3196946,3364367,3366944,3483016,3655852,3714047,3757750,3787812,3918393,3975551,4091567,4149527,4439306,4509300,4525487,4583207,4669727,4809920,4871327,4969586,5129951,5180865,5322386,5411160,5526256,5559551,5771904,5799436,5987351,6087555,6129551,6157967,6217038,6493392,6668087,6902858,7071976,7091207,7147487,7259951,7305066,7775858,7955973,8238551,8424537,8488607,8645258,8654951,8682647,8741896,8903927,9234887,9317447,9349036,9482351,9509807,9834633,9986305,10057247,10201106,10411367,11124633,11358047,11403146,11464972,11760767,11983566,12085465,12257426,12309736,12509161,12689365,13220332,13274687,13495816,13616327,13747367,13848453,13930487,14008847,14266150,14295551,14502558,14555351,14630258,14684951,14710847,14798666,15032017,15182793,15227238,15560927,15688585,15941985,16140746,16249967,16361836,16589365,16832327,17004784,17119380,17234951,17264950,17307506,17360351,17735351,17760287,17835047,17870230,17988328,18097036,18108551,18207767,18260672,18443212,18621465,18628007,18701927,18826302,18962066,19094951,19130382,19402216,19455626,19461551,19480012,19652017,19729247,19862896,19907238,19959585,19971767,20092727,20236869,20454407,20543256,20578696,20602226,20717940,20909951,21172367,21254258,21267551,21290224,21444276,21474310,21481247,21599687,21827493,21835967,21953807,22099136,22306127,22345758,22632585,22692328,22712906,22796351,22935767,23111163,23151033,23615449,23630056,23720351,23839346,23951502,24141424,24200327,24541007,24654167,24721967,24857351,24861528,24992447,25034728,25118066,25438798,25528869,25528900,25529951,25769172,26084951,26217407,26525351,26583813,26853551,26984327,27071351,27137416,27159102,27504551,27526127,27590807,27633887,27793465,27954206,27969219,28074310,28164069,28340087,28357036,28430858,28679351,28974527,29365706,29414351,29850647,30118967,30242351,30467807,30529593,30634680,30733007,30834647,30956351,31095016,31384492,31580567,31680527,31879847,31939487,32023528,32276087,32291858,32676992,32825447,32901266,32922887,33058967,33281385,33352158,33414376,33522551,33659786,33689172,33981527,34172481,34266047,34464015,34642607,34773647,34981893,35053036,35102305,35108807,35315858,35384812,35465546,35500144,35520758,35588351,36026469,36134951,36243407,36341140,36477407,36513287,36650728,36692207,36723333,36745727,36761616,36852551,36941351,37039372,37118351,37224167,37398386,37591173,37748927,37991351,38060327,38094767,38263316,38420351,38522567,38579865,38868626,39012551,39014858,39029327,39163247,39263351,39363167,39528887,39704950,39934580,39937662,39964606,40102607,40167551,40409951,40469258,40650551,40681525,40873487,40889351,40950789,41063327,41151856,41191058,41232069,41356105,41356818,41501807,41964647,42052466,42122766,42132551,42169576,42193367,42450407,42510551,42623858,42720047,42936172,43119647,43195989,43309967,43397351,43600127,43609368,43686551,43700927,43772296,43861065,44114351,44199047,44339567,44825087,44879951,44962007,45041721,45152351,45273887,45287351,45568247,45585866,45600136,45634607,45674327,45773065,45950351,46142858,46295838,46453607,46466351,46559905,46580687,46785136,46794887,46815532,46832447,46907351,46981967,47105687,47142647,47167247,47206677,47350727,47387666,47440773,47568527,47580551,47645940,47748047,47759951,47831207,47879176,47921496,48008087,48183167,48344951,48390887,48516551,48584687,48817830,48965351,49060539,49130351,49195847,49243528,49243833,49572167,49627326,49667351,49772351,49918007,50021087,50023316,50082551,50146150,50174207,50285351,50295407,50435351,50438265,50642327,50717905,50729951,50743940,50768687,50822336,50826551,50960447,51158351,51195647,51251351,51300153,51352727,51380207,51489407,51570551,51579527,51704351,51888647,52043807,52072352,52094951,52117706,52171127,52179551,52250258,52418056,52518047,52622567,52633278,52741487,52788551,52835327,52873036,53042546,53102447,53124887,53323607,53417207,53567858,53607287,53662487,53710367,53730767,53771351,53800816,53804951,53845007,53864073,53864927,53911683,53963447,54090866,54098351,54159297,54223477,54229727,54309287,54399407,54429047,54522551,54661880,54741633,54762865,54854951,54886607,54902327,54927678,54933551,55000586,55035551,55080407,55114847,55139207,55153727,55182551,55253351,55271927,55299551,55393967,55398969,55454951,55459247,55517258,55604567,55656047,55721327,55791551,55805416,55862351,55865807,55871886,55896551,55909105,55962551,55991207,56028407,56055551,56124767,56127551,56165687,56181551,56198425,56277647,56291351,56293607,56300327,56375351,56448167,56454551,56510087,56517551,56563487,56569367,56573327,56579951,56606087,56606351,56609207,56609351,56609951,56610287,56988465,57049400,57156328,57175128,57307466,57893452,58055656,58358785,58581396,58970313,59020465,59080150,59178376,59318858,59352085,59600985,59815946,59969793,60112052,60175380,60525918,60557258,60680306,60747496,60787696,60805717,60861486,60892728,61208241,61494615,62209185,62266826,62533132,62781093,63437673,63574384,63590258,63709706,63752665,64180575,64187072,64300869,64322019,64753304,64813065,64896266,64981132,65213416,65312613,65366858,65594256,65698437,65715438,66356464,66514150,66575673,66649106,67090926,67108012,67306341,67348585,67349337,67438110,67808121,68142026,68317036,68340933,68386158,68459280,68504319,68546056,68935826,69133936,69386258,70007865,70030542,70309393,70391306,70502258,70824558,70896180,70944626,70970965,71164946,71222502,71422696,71461880,71521182,71933984,72210456,72454150,72473905,72512332,72746728,72847467,73023232,73102057,73207875,73244949,73365093,73793538,73848328,74400626,74651022,74675056,74717066,74887617,75168136,75622592,76503198,76773385,76774281,76793546,77016690,77114313,77362696,77462110,77635705,77775678,77956549,78011786,78088400,78212425,78313106,78699436,78990892,79011146,79406858,79816980,79870150,79996106,80288786,80350533,80368561,80394615,80424328,80639065,80818302,80925732,81236763,81255026,81732746,81760105,81840069,81932037,82151136,82385896,82542441,82753612,82771058,83079369,83607626,84009438,84038997,84073297,84204465,84314950,84473836,84559336,84564153,84572785,84975986,85075416,85138112,85165158,85514258,85555653,85754256,85874360,85958858,86466417,86723175,86865310,86909305,86942728,86944980,86968686,87033033,87317836,87357386,87612933,87845329,87849450,88053585,88204921,88212746,88635026,89010412,89151925,89386058,89463385,89818096,90477369,90531146,90946933,91892985,92128062,92420028,92504720,92684133,92741312,92889866,92919436,92954532,93134757,93162846,93196492,93403528,93555429,93706080,93854910,93923824,94301836,94390346,94522233,94970757,95118986,95129253,95201305,95477906,95526277,95707875,95709843,95780376,95844180,95903858,96473538,96608655,96637177,96766878,97286258,97465569,97622858,97810569,98008885,98019184,98112126,98134252,98219666,98270385,98285258,98350706,98405836,98677132,99080277,99188426,99526857,99768385,99878258,99953152,...,173865604089108965291763290661418616046894790520216924511289644891291319938901859421980510079156563830276799659933992518342939425479173828746382244938282212600683076531594330861324506115182001177616739031782069411426504762834452496563149144711994210563096621415456661777991918005592076477469050412178403263316652965454847187448616263695743994392040710484954872187461915678138065156714244936290518407921311727462938283791209863503850703740610180489029985143764502231550458635791332476510658807097366691943112108477410790407280853513920654947534869441514251214474545811879110217951640132910944517813905950460662069988157419807882634195093361934417571401759001071369167309684957736019814258126502996016473463124243135704109915934103623554785267667585170467632455672472395680875875123961082914088812493891695353191036967031997767800605765779117177083533522574414059382759527221222777380173388566927704943842600657344876933338209727142826412628164532004368438279597783716230852736910160830684617056542596969068223234052423721410783488717527570618331827453512157800354094811962764380288726281470645355809188470937695453579280471189264464803197962568930673725902774565867975364944866233481877203734526396781965277904823537942476332569980031220287217217990269266310074039641352961492695843273900583414438010789649357279214632037277345509925970341663793728193859840115806313010735464568508310154659180457383488948378253952727842276115766306942700819166170566283811656091483321374883968433364429578521950784620749978568105176289084642545164089396392232318199539562201996663508022624868547372668836132233836497805590690663491403469872955682410598846704264959927062835691187258364584937753442246165654077357100735969485300253327473922229114386157327214938928840579235908231786371990428771230630371175500952436194850508698790075293138296642488152098534277206327061059581362347613300298323172571237717767364788894721560896660701241639948962300805884063847894395395343044900511766143051231209910081668696912624147467554294098039592837265390466562109766689113433072941204796488715929492520769996397080610547189080612976534195319494558152922348510896608717415429284253385522818962210775306378354867726851235196035821571214672138816295899630912364641193931987383836592917882456996367794657186566485843815029987147905015610556215460130529647341510660261293198303655175342030131941313195671874654249568757711146721}
15049   327948181414252908172931498087703655804026477520503418879785304: {977015,1157387,1172418,1306479,1653410,1984092,2327015,2792418,2946076,3047639,3709199,3993519,4208680,4353770,4488887,4569815,4734765,4795419,4835474,4849199,5050416,5224524,5483778,5636625,5681718,6012400,6187979,6277106,6637514,6658959,6763950,6907820,7214880,7249295,7454379,7596578,7649159,7695872,7983579,8116740,8289384,8657856,8677514,8699154,8839970,9325557,9740088,10323287,10354287,10607964,10771019,10927370,10957599,11232716,11663787,11686295,11808839,12967887,13037999,13112844,13379819,14023554,14331215,14818187,14832844,14879186,15301659,15360839,15387170,15739787,15978088,16076759,16525415,16869770,16976939,17104719,17197458,17293679,17349071,17380034,17470178,17899871,17975349,18006359,18386139,18464604,18628946,18838079,19336744,19830498,19855787,20243724,20302984,20452295,20676299,20745359,20766239,21123746,21255980,21399225,21753837,21905387,21921887,21945387,22064306,22197999,22441451,22485410,22621295,22825840,22840857,23054015,23571419,23745239,23815679,23942834,24211119,24252770,24350015,24542754,24727307,24828620,25101736,25507176,25679070,25723370,25897425,25961259,25995266,26140679,26542984,26612780,26805345,26918879,26982492,27145554,27158699,27208139,27391008,27623920,27652319,27664818,28020587,28239453,28257938,28283687,28365410,28443099,28592368,28648751,28695573,28836119,29103324,29183439,29220018,29237579,29266226,29537570,29794344,29860857,30176780,30338459,30368039,30814884,30868044,30903339,31045706,31053227,31062626,31076910,31293410,31642799,31879826,31881387,31911125,31935336,32069387,32166414,32211465,32264258,32280599,32898347,33148704,33306599,33518637,33560498,33744407,33921770,34038492,34069359,34358896,34413467,35142866,35352587,35445084,35446295,35759019,35927253,36007874,36212136,36585611,36898379,37098578,37123274,37241087,37292292,37382447,37552092,37677099,37920539,38158197,38293350,38300759,38653758,38868770,39226847,39230615,39327131,39900119,40029410,40158386,40350239,40353986,40706124,40738653,40846240,40936994,41189111,41201999,41767970,41894279,41931309,41978399,42111465,42180434,42535554,42646287,42687851,42942887,43039259,43088087,43619666,43816295,44020427,44048559,44231015,44375180,44469544,44918896,45415946,45426425,45555026,45563308,45696527,45813410,45846959,45865799,45952020,45974279,46043099,46097474,46299215,46642524,47075714,47076738,47593739,47829145,48035292,48355031,48437787,48799586,48829739,48964444,49015488,49141439,49351899,49376639,49746587,49918225,50011787,50028237,50121564,50205458,50489679,50508251,50523698,50533758,50798699,51221399,51266186,51392066,51439820,51640199,51781079,52579554,52711970,52917866,52973787,53012879,53063114,53077218,53147159,53154059,53162927,53189234,53198319,53250216,53260187,53281137,53670215,53691959,53729471,54276287,54289874,54511710,54601052,54628706,54712706,54715370,54976092,55142424,55409099,55559058,55627586,56076011,56097579,56163688,56659141,57000170,57061739,57394974,57594652,57737087,58061906,58099586,58145824,58302939,58481420,58519415,58522287,58625867,58661354,58990619,59557425,59848970,59901870,59906493,59907887,59946909,59977799,60055628,60456107,60456194,60492194,60703887,61551746,61554410,61727784,61786587,62035227,62494859,62529145,62942236,63023378,63078699,63184149,63254364,63429925,63527920,63653387,63895328,63935787,64113611,64396319,64404258,64552514,64617287,65090440,65111351,65276066,65340674,65414052,65506319,65522570,65658444,65772119,65815871,66091295,66169768,67251020,67380287,67692359,67863179,68146658,68327350,68378799,68400204,68450498,68679911,69214287,69332258,69443757,69592427,69756770,69822239,69985799,70177704,70223298,70371287,70374866,70481051,71081499,71311750,71445410,71468910,71818764,71882244,72087659,72212396,72215039,72313586,72366815,72569570,72672578,72957287,72988844,73226745,73236904,73710338,73790699,73865292,73972970,73989419,74157266,74440989,74465954,74495848,75034974,75140065,75219225,75551879,75934370,75984620,75994091,76074887,76115910,76233504,76388786,76883627,77063498,77522546,77645039,77771759,77802626,77935799,77949707,78108528,78166415,78176559,78375387,78489506,78590834,78627084,78949917,79294619,79309554,79467980,79563819,79959724,80233840,80351787,80701224,80941630,81136299,81148648,81190304,81226415,81254219,81516770,81610988,81728087,81992820,82040879,82074866,82183346,82391517,82392914,82500879,82945580,82986719,83275887,83560466,83708124,83807829,83885015,84041087,84244898,84583564,84738431,85396295,85531991,85574100,85660226,85682570,85734492,85762692,85766786,85879259,85910999,85961199,86002199,86417420,86840178,87028274,87083484,87114239,87391106,87459008,87516779,87521999,87593279,87597916,87620584,87790667,87872094,88110047,88616399,88620225,88767564,88860059,88978287,89012077,89278370,89327350,89454568,89723919,89741788,89799116,89917480,89941346,90168078,90263070,90383186,90410828,90468299,90511847,90640415,90646439,90788877,90835887,90933410,91020459,91121244,91181544,91279040,91292229,91339092,91718807,91719026,91783967,91852178,92109719,92310410,92442011,92934731,93343820,93374056,93400239,93799698,93817874,93960170,94301519,94409279,94432744,94528240,94963336,95031287,95361576,95385387,95443007,95564559,95595887,95640587,95692199,96280608,96355787,96473858,96703370,96720839,96805019,97129956,97344399,97471698,97471787,97610500,97614059,97646066,97659932,97820124,98050287,98178971,98374295,98391384,98573157,98738615,98930471,99115079,99323207,99479639,99534696,99636146,99771225,99850156,99973659,99998987,...,231820805452145287055684387548558154729193054026955899348386193188388426585202479229307346772208751773702399546578656691123919233972231771661842993251042950134244102042125774481766008153576001570155652042376092548568673017112603328750865526282658947417462161887275549037322557340789435303292067216237871017755537287273129583264821684927658659189387613979939829583282554237517420208952326581720691210561748969950584378388279818005134271654146907318706646858352669642067278181055109968680878409463155589257482811303214387209707804685227539930046492588685668285966061082505480290602186843881259357085207933947549426650876559743843512260124482579223428535678668095158889746246610314693085677502003994688631284165657514272146554578804831406380356890113560623509940896629860907834500165281443885451749991855593804254715956042663690400807687705489569444711363432552079177012702961630369840231184755903606591790134209793169244450946302857101883504219376005824584372797044954974470315880214440912822742056795958757630978736564961881044651623370094157775769938016210400472126415950352507051635041960860474412251294583593938105707294919019286404263950091907564967870366087823967153259821644642502938312701862375953703873098050589968443426640041627049622957320359021746765386188470615323594457698534111219250681052865809705619509383036460679901293788885058304258479786821075084014313952758011080206212240609844651931171005270303789701487688409256934425554894088378415541455311095166511957911152572771362601046160999971424140235052112856726885452528522976424266052749602662218010696833158063163558448176311781997074120920884655204626497274243214131795605686613236083780921583011152779917004589661554205436476134314625980400337769965229638819181543102953251905120772314544309048495987238361640840494900667936581593134011598386767057517728856650869464712369608436081412775149796817733731097563428316957023153051859628747862214268322186598616401074512085130525860527124059867349021524068308279880108891595883498863290072392130719457116353853955416146355585484577430588273061984954572656694359995196107480729585440817302045593759326077537229798014528811623220572379004514030425282947700408504473156969134980261381095428286229518421727866174549819521591909316511782123890509942661823726209582088647791753373316197206687480741620613507372863122014213681724264404873567122706842588417594229166205666091676948195628}
15050   329431147020497282868111596017223669425267586552977389328776063: {285589,511054,555481,931054,1003861,1539541,1563224,1741972,1758627,1895221,2365102,2426581,2480115,2645456,2691289,2900494,2955349,2976138,3019294,3256702,3306421,3394009,3682595,3723224,4005109,4179061,4188627,4419114,4498894,4612681,4675774,4958281,5260850,5323102,5324692,5381854,5388661,5817241,5851294,6158809,6313020,6393892,6530655,6669001,6728734,6733888,6966032,7092181,7253211,7260949,7311704,7428094,7515500,7575624,7836786,7933141,7951102,8183134,8225667,8267509,8299054,8522577,8634775,8683849,8849881,8878612,8932789,9018600,9050974,9098389,9166414,9263701,9339454,9415659,9511129,9619840,9742654,9939172,9956271,10145925,10167769,10259902,10361730,10412821,10644772,10819801,10822320,10982089,11052512,11119102,11394867,11543808,11598872,11789209,11974702,12110041,12175110,12259102,12315934,12429721,12434076,12827701,12986784,13016271,13048731,13259955,13336174,13618261,13805716,13980827,14040895,14143952,14182414,14294974,14323609,14519902,14557429,14610132,14712949,15177781,15551716,15563161,15716809,15911946,16252309,16391055,16477102,16849074,16919651,16977214,17290516,17309902,17365294,17483792,17762869,17765111,17807854,18136009,18210421,18469774,18541055,18634894,18698072,18876889,18964702,19019614,19391221,19669266,19756441,19829269,19972610,19987627,20114494,20119861,20402212,20822734,21035331,21626569,21964019,22249266,22318779,22332889,22716094,22806292,22929944,22962421,23080755,23170969,23225111,23309641,23378869,23521534,23655061,23861449,23967132,24170930,24203989,24514852,24612661,24619472,24680521,24748309,25018322,25304655,25378730,25556149,25796187,25956181,26070051,26205267,26287561,26440664,26549374,26569975,26991632,27010261,27232654,27494734,27530389,27659701,27696906,27853129,27860974,27909167,27943419,28017694,28493209,28532300,28591102,28810549,29000089,29005116,29110702,29188981,29251801,29260516,29369902,29421694,29439829,29597332,29745747,29813941,30064034,30365586,30454476,30737881,31035775,31042261,31102921,31121854,31377170,31405141,31685619,31765429,31883970,32281492,32301001,32499934,32537161,32723672,32947669,33064309,33096459,33122521,33178730,33265975,33412501,33664654,33728115,33815449,34009568,34238760,34271641,34469902,34529900,34615012,34720702,35114581,35470702,35520574,35670094,35722441,35740460,35914251,35976656,36159049,36194072,36217102,36379155,36415534,36521344,36814131,36858709,36886424,37124569,37242930,37256014,37403854,37598581,37652604,37720975,37807381,37924132,38066761,38170009,38189902,38260764,38518605,38529109,38585055,38804432,38834101,38910851,38911252,38923102,38935189,38960024,38992899,39035989,39286729,39304034,39386521,39458494,39725792,39814476,39881161,39919170,39943534,40077001,40125781,40185454,40416949,40473738,40718331,40801141,40896469,40908814,41086261,41086512,41157392,41204452,41274901,41321881,41435880,41497227,41819902,41972041,42246361,42291829,42344734,42386907,42508516,42535102,42548115,42580448,42697801,42888552,42948620,42962494,43142041,43199374,43317721,43405129,43622389,43654986,43671934,43708789,43830027,43899339,43907614,43966261,44198272,44221141,44306355,44598601,44612254,44691516,44847001,44970229,45265170,45295669,45384656,45425812,45592702,45695989,45871534,45971929,46205641,46222326,46302066,46398421,46475029,46568559,46593939,46615365,46627381,46940115,47003221,47230898,47260112,47371861,47440702,47589589,47678692,47769049,47819739,47903004,48017269,48052441,48192409,48249621,48282848,48365749,48396387,48400654,48808009,49082014,49107061,49143227,49308334,49443934,49714702,49723056,49782169,49984894,50000149,50031001,50069456,50236132,50305429,50340747,50632921,50749849,50836789,50877596,50882655,51057738,51057800,51059902,51065461,51121909,51372361,51538344,51590089,52139701,52169902,52190389,52240789,52265881,52315849,52434814,52537141,52714299,53050702,53098741,53121241,53143669,53167626,53298649,53707102,53823349,53883289,53968654,54011811,54059221,54142702,54274832,54318204,54321301,54411481,54429301,54534709,54654409,54770581,54899029,54946009,54992341,55009102,55052254,55053109,55181614,55214281,55228501,55267774,55270729,55298521,55406809,55420021,55468975,55472149,55510489,55586930,55633609,55647867,55684911,55782901,55804789,55879129,55899721,55908412,55938438,55998361,56044981,56072089,56141209,56148620,56157769,56197909,56213461,56293849,56307529,56328138,56340469,56346841,56389429,56406601,56504521,56573641,56578969,56588761,56595349,56601289,56612629,56621269,56623321,56624329,56680174,56714072,56861716,56954135,57358702,57440025,57898547,57949054,57980637,58303155,58731412,58828702,59701294,60044115,60237579,60237934,60484702,60530979,60935614,61059186,61205555,61269360,61405491,61466014,61669294,61912702,62190032,62651955,62768984,63161134,63270651,63361054,63759694,63803331,63878974,64047056,64082291,64299775,64552174,64583716,65183867,65353984,65429499,65650894,65802532,65845774,66117934,66562770,66704316,66828752,67045102,67319572,67378344,67963054,68123919,68251315,68332539,68344962,68532094,68720115,68928030,69146211,69285214,69547294,69963786,70106072,70204610,70217614,70613571,70615107,70631716,70769624,70931092,71000288,71005067,71041516,71176702,71993315,72052938,72269902,72486814,72682280,72954814,73026574,73101775,73199379,73301456,73384414,73446666,73491454,73523232,73705102,73882702,74078744,74236702,74448334,74796772,75069535,75182346,75308187,75497854,75785547,75800637,75982702,76120654,76189534,76526632,76668011,76840702,76899279,77045134,77088099,77159730,77737252,78025102,78029716,78058654,78272747,78326494,78526702,78677795,78726334,78869331,79057774,79067955,79376799,79409900,79594671,79615827,79783851,79869160,79875324,79929212,80205214,80335102,80819902,80938516,81301102,81363050,81434811,81702299,81746974,81767565,81778702,81901578,81943059,82069059,82073055,82126654,82303712,82382116,82464138,82628651,82712210,82713636,83003614,83092919,83338587,83441379,83929294,84063775,84104932,84245532,84265102,84339152,84386734,84900814,85021102,85247716,85440094,85500255,85872344,86092461,86239294,86391978,86619934,86794702,87092859,87149379,87200254,87218736,87373102,87401854,87544592,87722130,87992031,88228702,88398094,88679134,89253731,89650174,89759902,89773455,89852805,89924014,90083442,90265495,90304702,90547774,90574702,90684291,90738291,91136494,91171732,91200272,91236055,91269214,91348654,91546130,91900702,92130467,92285716,92327619,92331615,92591676,92907214,92932702,93119810,93161374,93570272,93589774,93631064,93664894,93814702,93963934,94211374,94285294,94288019,94334494,94413354,94535067,94701454,94775332,94881546,94980775,95137054,95161102,95291880,95496094,95519902,95662414,95758352,95842992,96016174,96366334,96606387,96689902,96781774,96828771,97033102,97169374,97635660,97914099,97930702,98011011,98121078,98260702,98283855,98391694,98487056,98487666,99144334,99254652,99334702,99334975,99359351,99544702,99836014,99949655,...,347731208178217930583526581322837232093789581040433849022579289782582639877803718843961020158313127660553599319867985036685878850958347657492764489876564425201366153063188661722649012230364002355233478063564138822853009525668904993126298289423988421126193242830913323555983836011184152954938100824356806526633305930909694374897232527391487988784081420969909744374923831356276130313428489872581036815842623454925876567582419727007701407481220360978059970287529004463100917271582664953021317614194733383886224216954821580814561707027841309895069738883028502428949091623758220435903280265821889035627811900921324139976314839615765268390186723868835142803518002142738334619369915472039628516253005992032946926248486271408219831868207247109570535335170340935264911344944791361751750247922165828177624987783390706382073934063995535601211531558234354167067045148828118765519054442445554760346777133855409887685201314689753866676419454285652825256329064008736876559195567432461705473820321661369234113085193938136446468104847442821566977435055141236663654907024315600708189623925528760577452562941290711618376941875390907158560942378528929606395925137861347451805549131735950729889732466963754407469052793563930555809647075884952665139960062440574434435980538532620148079282705922985391686547801166828876021579298714558429264074554691019851940683327587456387719680231612626021470929137016620309318360914766977896756507905455684552231532613885401638332341132567623312182966642749767936866728859157043901569241499957136210352578169285090328178792784464636399079124403993327016045249737094745337672264467672995611181381326982806939745911364821197693408529919854125671382374516729169875506884492331308154714201471938970600506654947844458228772314654429877857681158471816463572743980857542461260742351001904872389701017397580150586276593284976304197068554412654122119162724695226600596646345142475435534729577789443121793321402483279897924601611768127695788790790686089801023532286102462419820163337393825248294935108588196079185674530780933124219533378226866145882409592977431858985041539992794161221094378161225953068390638989116305844697021793217434830858568506771045637924421550612756709735453702470392071643142429344277632591799261824729282387863974767673185835764913992735589314373132971687630059974295810031221112430920261059294683021320522586396607310350684060263882626391343749308499137515422293442}
15051   330920764736289927407205853168610053337161756622701898934844641: {766581,1367821,1396581,1954030,2177465,2314774,2344836,2612958,3257821,3306820,3547653,3799301,3968184,4339913,4350741,4464207,4528941,4654030,4885053,5419693,5584836,5892152,6095278,6397741,6628671,6655865,6748341,7013661,7418398,7891275,7984653,7987038,7992365,8072781,8417360,8707540,8776941,8977774,9139630,9394375,9469530,9590838,9670948,9698398,10093101,10100832,10149013,10449048,10967556,11098265,11142141,11273250,11363436,11690789,11755179,11926653,12024800,12274701,12375958,12423965,12448581,12554212,13275028,13305965,13317918,13527900,13576461,13655741,13749621,13815640,14009181,14429760,14498590,14613981,14637029,14908758,15193156,15298318,15389853,15391744,15542595,15967158,16233480,16360813,16578768,16597229,16678653,17185501,17257145,17315712,17355028,17398308,17679940,17962053,18262665,18388653,18473901,18651114,19439645,19480176,20004261,20063701,20312933,20646574,20708574,21095861,21154393,21215928,21273621,21442461,21542038,21613145,21779853,21854740,21915198,22465432,23007353,23135581,23327574,23372590,23617678,23867919,24406349,24424781,24715653,25162889,25273611,25465821,25502765,25935774,25964853,26047941,26075998,26225688,26711781,26759638,27704661,27952341,28047108,28291901,28447053,28507865,28529421,28633213,28662430,29216053,29223181,29503899,29636374,29665688,29758372,29958915,30171741,30580133,30603318,30643565,30721678,30774340,30784109,30905533,31234101,31479574,31669813,31956176,32153518,32164781,32275621,32501561,33040013,33050830,33373899,33739540,33825061,33953878,34074141,34090021,34209438,34394916,34587358,34695113,34698142,34760068,34940356,35282301,35665375,35799742,35950698,35958173,36012718,36166469,36256395,36575645,36772278,36929208,36988061,36996665,37053613,37242941,37257892,37527483,37676158,38068095,38673488,39205981,39660996,39711574,39824061,40351865,40487448,40605968,40670461,40848981,40904590,41242101,41352598,41490718,41532478,41545359,41791461,41791541,42026541,42207413,42247492,42511960,42798450,42886653,43162375,43268765,43487429,43507674,43666053,43707389,43810774,43843774,43890774,44054853,44128612,44132541,44395998,44675575,44873461,44882902,44884661,44970820,45096051,45242590,45548379,45620069,45651680,45681714,46049293,46108030,46359001,46682781,46714253,46921541,47065755,47142838,47405165,47490478,47529581,47631358,47825955,47885668,48195221,48422238,48505540,48639065,48700030,48749901,49085508,49454614,49624813,49657240,49768095,50203472,50496981,50713813,50990333,51014352,51072589,51339101,51358140,51446740,51505565,51704853,51794850,51922518,51990532,52024141,52081053,52281358,53085968,53135645,53206053,53225560,53280861,53505141,53610690,53685775,53837758,53964984,54291108,54317398,54325653,54416278,54623301,54782016,54922861,55247840,55304638,55329636,55550809,55864395,55884021,56041174,56105781,56478906,56515876,56567374,56570909,56730820,56782265,56886198,57184736,57284853,57297502,57391146,57672238,58206648,58366878,58384653,58440036,58475158,58532452,58791421,58956051,59075140,59187741,59417389,59588688,59598365,59721714,59878755,59915301,60278181,60353560,60676918,60710607,60736078,60990301,61342813,61363221,61629768,61736088,61749941,61806678,61923421,62091412,62106454,62125252,62153820,62586820,62729853,62795165,63079061,63285598,63517101,63596995,63759652,63762774,63802653,63822250,63870672,64138774,64332828,64422930,64443741,64528516,64561198,64572629,64799061,64818901,65482479,65507901,65796694,65861421,66041141,66297408,66613198,66918381,66960803,67037274,67120996,67199261,67388189,67488814,67843540,67897755,68076984,68138718,68389053,68717792,68807301,68826934,69017801,69333489,69453099,69601789,69885515,69954013,70185775,70285732,70475081,70705174,70846347,70890168,70892590,71077145,71161053,71518038,71854506,72015748,72064949,72424272,72600981,73171222,73414265,73424921,73623021,73796758,73962501,74165901,74197156,74246548,74482174,74572053,74584584,74764894,74917013,74977341,75104184,75138301,75354198,75841078,76316394,76586607,76586700,76589853,76601518,76721909,77050013,77307516,77737540,77782393,77840501,78254853,78453694,78461230,78579149,78652221,78654262,79086101,79309913,79576053,79743641,79751439,79800238,79915109,80058820,80316772,80433221,80560653,80700478,80707972,80729645,80952981,81214053,81412248,81477306,81692480,81873988,81927181,82148909,82253165,82378222,82403998,82513653,82578381,82772421,82901661,83208389,83380395,83535940,83788558,83862618,83907657,83956798,84149465,84222930,84360868,84446861,84492207,85020261,85071108,85292574,85375702,85885774,86038053,86078518,86176174,86923581,87239332,87311381,87540803,87632590,87788021,88040854,88097118,88243053,88289645,88462030,88663865,88709941,88735469,88750360,88801895,88872013,88939088,89551941,89566381,89837792,90356901,90727053,90831892,90852850,91110052,91126616,91313933,91393054,91403421,91430749,91588779,91626820,91693918,91731598,91904040,91948558,92086198,92122381,92194948,92199021,92503941,92527813,92598430,92869053,93285048,93495965,93535021,94096229,94151428,94153476,94237781,94741701,95041581,95187478,95309861,95639541,95658290,95728613,95818461,96070584,96710062,96750613,96828261,96875574,97171565,97362973,97537145,97599172,97659478,97888901,97928888,98030976,98282878,98476341,98703798,98753278,98768661,99176901,99198293,99262375,99493174,99753161,99836450,99844155,99911515,...,521596812267326895875289871984255848140684371560650773533868934673873959816705578265941530237469691490830398979801977555028818276437521486239146734814846637802049229594782992583973518345546003532850217095346208234279514288503357489689447434135982631689289864246369985333975754016776229432407151236535209789949958896364541562345848791087231983176122131454864616562385747034414195470142734808871555223763935182388814851373629590511552111221830541467089955431293506694651375907373997429531976421292100075829336325432232371221842560541761964842604608324542753643423637435637330653854920398732833553441717851381986209964472259423647902585280085803252714205277003214107501929054873208059442774379508988049420389372729407112329747802310870664355803002755511402897367017417187042627625371883248742266437481675086059573110901095993303401817297337351531250600567723242178148278581663668332140520165700783114831527801972034630800014629181428479237884493596013105314838793351148692558210730482492053851169627790907204669702157271164232350466152582711854995482360536473401062284435888293140866178844411936067427565412813086360737841413567793394409593887706792021177708323697603926094834598700445631611203579190345895833714470613827428997709940093660861651653970807798930222118924058884478087529821701750243314032368948071837643896111832036529777911024991381184581579520347418939032206393705524930463977541372150466845134761858183526828347298920828102457498511698851434968274449964124651905300093288735565852353862249935704315528867253927635492268189176696954598618686605989990524067874605642118006508396701509493416772071990474210409618867047231796540112794879781188507073561775093754813260326738496962232071302207908455900759982421766687343158471981644816786521737707724695359115971286313691891113526502857308584551526096370225879414889927464456295602831618981183178744087042839900894969517713713153302094366684164682689982103724919846886902417652191543683186186029134701535298429153693629730245006090737872442402662882294118778511796171399686329300067340299218823614389466147788477562309989191241831641567241838929602585958483674458767045532689826152246287852760156568456886632325919135064603180553705588107464713644016416448887698892737093923581795962151509778753647370989103383971559699457531445089961443715046831668646380391588942024531980783879594910965526026090395823939587015623962748706273133440163}
15052   332417064161260470405849868149705307792504051729969865405138225: {571178,1022108,1110962,1242427,1510051,1688107,1862108,2007722,2574067,2931045,3079082,3126448,3472161,3483944,3517254,3540307,3790442,3919437,3976627,4133525,4150651,4324387,4584451,4730204,4853162,4960230,5155633,5188747,5290912,5382578,5618227,5800988,5910698,5952276,6038588,6131227,6301651,6513404,6612842,6726451,6788018,6981045,7149451,7318147,7365190,7402387,7446448,8010218,8157307,8358122,8377254,8838228,8997788,9142917,9225362,9237451,9351548,9814027,9916562,10521700,10646204,10649384,10763708,10777322,10884425,11127597,11522587,11634482,11702588,11980557,12088685,12317618,12626040,12787784,13061310,13338002,13457468,13466661,13467776,13672651,13709445,13932064,14184362,14204295,14299627,14386257,14506422,14521898,14547597,14623408,14856188,15031000,15151248,15673572,15692765,15866282,15902204,16000051,16366268,16451334,16533787,16535018,16593785,16598108,16909875,16912867,17045154,17269550,17367698,17699762,17740507,17757224,17865578,17890051,18037200,18101948,18196778,18332828,18527402,18563937,18633451,18678908,18781267,18831318,18991445,19022258,19239680,19485308,19516027,19589107,19657253,19878344,19912542,19976877,20291850,20315947,20335538,20519804,20723460,20825642,20963947,21289544,21321427,21535051,21639602,21644640,21693785,21747885,21964178,22099925,22105024,22238204,22363137,22789734,22942651,22947477,23087616,23197744,23578418,23621741,23949404,23950737,23979451,24116467,24220082,24350220,24518204,24631868,24859442,24864907,24868152,25000051,25336651,25537747,25655402,25957477,25973568,26032542,26097462,26137147,26519910,26672348,26861827,27188347,27236522,27318425,27318451,27513067,27611432,27642451,27771547,27961654,27976671,28081790,28287904,28364828,28589948,28647218,28730587,29039804,29114858,29220264,29423587,29425898,29735707,30169651,30292987,30354547,30355562,30477451,30783451,30881741,30969861,31062861,31103432,31126322,31433618,31823892,31870147,32167867,32313057,32504618,32782110,32872797,32954204,32983561,33629467,33698148,33839302,33954428,34201507,34315051,34581032,34619804,34730588,34967584,34991361,35058885,35268547,35323987,35426517,35525738,35530222,35600107,35615708,36255451,36272018,36420842,36525451,36900427,36939548,37082110,37197965,37219027,37269788,37396144,37753778,37929404,38039228,38107651,38365051,38467925,38782442,38903661,39113997,39338532,39376651,39512882,39658538,39945220,39975254,40139457,40228988,40239722,40696627,40804424,41077651,41645468,41686987,42010051,42070662,42174425,42600667,42993645,43253138,43354651,43450085,43675445,43928038,44454561,44498532,44551147,44637558,44665778,44717467,44758867,45432188,45612584,45859888,45904977,45924842,45928147,46045651,46082517,46161510,46341938,46450222,46572365,46619282,46757738,46999651,47043068,47185051,47219361,47258707,47310122,47441587,47622667,47722898,47934264,48230277,48341860,48407978,48772651,48940051,49029704,49171387,49204147,49225322,49238944,49361042,49496618,49576245,49591651,49686907,49844227,50036644,50122867,50609310,50757460,50930817,51112298,51314157,51510451,51592374,51698947,51725587,51831427,51881037,51912362,52047213,52140102,52410534,52540051,52575122,52612627,52660651,52809365,52826467,52881328,52896451,53079907,53098748,53139950,53346451,53454451,53699613,53706307,53808187,53828347,53926047,53928067,53983264,54019077,54020522,54345451,54465308,54470947,54575707,54610051,54890347,54937651,54989468,55060627,55060778,55135147,55158417,55160765,55164451,55264747,55278787,55319402,55347907,55393812,55690051,55706258,55721948,55818334,55886838,55940107,56035388,56055451,56082667,56160427,56213525,56319187,56332651,56345827,56377507,56407387,56461747,56500051,56514237,56541451,56552467,56609347,56640667,56986418,57064600,57182204,57621098,58000178,58010232,58221404,58377962,58503602,58521032,58739804,58843388,58879658,59194664,59491494,59567361,59627882,59857085,60128068,60631925,60731172,60908952,61356885,61475762,62028897,62071550,62084522,62205842,62236077,62243708,62298717,62754340,62810282,63371238,63530858,63767940,64197675,64308425,64562984,64602002,64988165,64999868,65074322,65261511,65447344,65716161,65765661,65836161,65895338,66128618,66192918,66245042,66357460,66531950,66593997,66825002,67324353,67329308,67456230,67630898,67863885,68019136,68477520,68522571,68543282,68939804,69059800,69162045,69230024,69441404,70229162,70644845,70714257,70913525,70941404,71041148,71235717,71340188,71444882,71447037,71480920,71828502,71953312,72318098,72388144,72434204,72633357,72758310,72831068,73042688,73050045,73165565,73628262,73717418,73772848,73843925,74181921,74249138,74485860,74512028,74807708,75197162,75305208,75441950,75614762,75848264,76133522,76340018,76379804,76521528,77037210,77058218,77170110,77608864,77614265,77656565,77668202,77692275,77821702,77822504,77846204,77870378,77883777,77920048,77985798,78071978,78233525,78422037,78573458,78608068,78773042,78916988,79451584,79628952,79699565,79735789,79762322,79838340,79887068,80154002,80251562,80370908,80416035,80660645,80756637,80833898,80947476,81436662,81476097,81602282,81624417,81792938,81817628,82172522,82173024,82314784,82408904,82549802,82643762,82871760,82956957,82994454,83639804,83901245,83944082,84061761,84492722,84583658,84689468,84718359,84773814,84804425,84851061,85017032,85070204,85096230,85160896,85208321,85329297,85395602,85687777,85777104,85897240,85924988,85946253,86086719,86284082,86398748,86508357,86635442,86810258,87244778,87309972,87343868,87417578,87550317,87660054,87712737,87798678,87815228,87857165,87932522,88396544,88442282,88612710,89197202,89224508,89383032,89582571,89694002,89940458,90019685,90530340,90591338,90769312,90851624,91015377,91104117,91185404,91391978,91743068,91943858,92411282,92444652,92604132,92710017,92746445,92796842,92808185,92950058,93137118,93159681,93187878,93230730,93254762,93880230,94006442,94461796,94520224,94743722,94881404,94928397,95179178,95357384,95538098,95551841,95639478,95644161,95733375,95806008,96034538,96104882,96208161,96384818,96499242,96565696,96634395,96731498,96792774,96801308,96841797,97171925,97616018,98164028,98214122,98286454,98616668,98695041,98887868,99429404,99446112,99564338,99919797,99969788,...,695462416356435861167053162645674464187579162080867698045158579565165279755607437687922040316626255321107198639735970073371757701916695314985528979753128850402732306126377323445298024460728004710466956127128277645706019051337809986252596578847976842252386485661826647111967672022368305909876201648713613053266611861819388749794465054782975977568162841939819488749847662712552260626856979745162073631685246909851753135164839454015402814962440721956119940575058008926201834543165329906042635228389466767772448433909643161629123414055682619790139477766057004857898183247516440871806560531643778071255623801842648279952629679231530536780373447737670285607036004285476669238739830944079257032506011984065893852496972542816439663736414494219141070670340681870529822689889582723503500495844331656355249975566781412764147868127991071202423063116468708334134090297656237531038108884891109520693554267710819775370402629379507733352838908571305650512658128017473753118391134864923410947640643322738468226170387876272892936209694885643133954870110282473327309814048631201416379247851057521154905125882581423236753883750781814317121884757057859212791850275722694903611098263471901459779464933927508814938105587127861111619294151769905330279920124881148868871961077065240296158565411845970783373095602333657752043158597429116858528149109382039703881366655174912775439360463225252042941858274033240618636721829533955793513015810911369104463065227770803276664682265135246624365933285499535873733457718314087803138482999914272420705156338570180656357585568929272798158248807986654032090499474189490675344528935345991222362762653965613879491822729642395386817059839708251342764749033458339751013768984662616309428402943877941201013309895688916457544629308859755715362316943632927145487961715084922521484702003809744779402034795160301172553186569952608394137108825308244238325449390453201193292690284950871069459155578886243586642804966559795849203223536255391577581581372179602047064572204924839640326674787650496589870217176392158371349061561866248439066756453732291764819185954863717970083079985588322442188756322451906136781277978232611689394043586434869661717137013542091275848843101225513419470907404940784143286284858688555265183598523649458564775727949535346371671529827985471178628746265943375260119948591620062442224861840522118589366042641045172793214620701368120527765252782687498616998275030844586884}
15053   333920075025688123055092974417736788017385966487070150947143397: {15053,856767,1277635,1533162,1666443,1818751,2327635,2735642,2793162,3011583,3048451,3908060,4354930,4490083,4618623,4629548,4689672,4789147,4850491,5225916,5275881,5685663,5870083,5912755,6515642,6613640,7095306,7251235,7279743,7440345,7548235,7598602,7936368,8073867,8141755,8679826,8701482,8866047,8928414,9057882,9308060,9318211,9723967,9770106,9919263,10182027,10839386,11047785,11169672,11189311,11247235,11689435,11784304,12015327,12020107,12190556,12537183,12565881,12795482,13152125,13257342,13307755,13311730,13454635,13496682,13499683,13816387,13838043,14027322,14628235,14836796,14874843,15537571,15782550,15969306,15974076,15984730,16138603,16145562,16165983,16196623,16821835,16834720,16925887,17049691,17298307,17393551,17415080,17451723,17553882,17814787,17955548,18279260,18476427,18556747,18570235,18628351,18788750,18939060,19181676,19341896,19396796,19591965,19614907,19877755,20007003,20087251,20186202,20201664,20298026,20457835,20747635,20898096,21001507,21276543,21759633,21782847,21935112,22196530,22284282,22546500,22614811,22627435,22726872,22916035,23348635,23381578,23510358,23577727,23799423,23853306,24049600,24160003,24356635,24549402,24594067,24634411,24677001,24733951,24751916,24802527,24847930,24897162,25108424,25112803,25567731,25649755,25904325,26031091,26051547,26390347,26549643,26550056,26611930,26635836,26678047,26798367,27055800,27152922,27155851,27165967,27215503,27295167,27311482,27499242,27631280,27791103,27797755,28018362,28246977,28295707,28533387,28533823,28667083,28843867,28859520,28997180,29061451,29227962,29274058,29817516,29868813,29936755,30258403,30386312,30437775,30503307,30596636,30647755,30779706,30783488,30789835,31085190,31201951,31238463,31651267,31934316,32459403,32466960,32491327,32651131,32721626,32907151,32946267,33157536,33194458,33340435,33357306,33435883,34087003,34184601,34371002,34422751,34514290,34631424,34680067,34710056,34796616,35201611,35359880,35367627,35456035,35703871,35737435,35924106,36299755,36330123,36525330,36725503,36777306,36947802,37289163,37302228,37313947,37392451,37708771,37930687,38012923,38438047,38483103,38776891,38879290,38960352,39048813,39146193,39712051,39779865,39911011,40008522,40127402,40625866,40854783,41192755,41293148,41417148,41448031,41942481,41986123,42122685,42191722,42213091,42308786,42431856,42443035,42547242,42755647,42884922,42900991,42970827,43084076,43226290,43274755,43413235,43559706,43672287,43709467,43709480,43713163,43830396,44032351,44138847,44519635,44712427,44930864,45533343,45608767,45944767,46014706,46174435,46271162,46587235,46655148,46689483,46745180,47042911,47150427,47172991,47235356,47411755,47549035,47606527,47735838,48297787,48699883,48756927,48812698,48849562,49173165,49390003,49431306,49931525,50286235,50325778,50394751,50547222,50758953,50803387,50931642,51005530,51205903,51654187,51674767,51795331,51871548,51929706,52056835,52095882,52151996,52451376,53288607,53295333,53423562,53519276,53865247,53914627,54408027,54454027,54631263,54865651,55409322,55623165,55736383,55904682,56094216,56156083,56171323,56177827,56492611,56583802,56630667,56790235,56894106,57015730,57058842,57266426,57324860,57983167,58173663,58214623,58432106,58446362,58803835,59007798,59146051,59269323,59272748,59331376,59487807,59516744,59917830,59962881,60120211,60186907,60343482,60359583,60427325,60472351,60576271,60673483,61141567,61160266,61206636,61287130,61443356,61548680,61568218,61811066,62468202,62512447,62545805,62700187,62959148,63105993,63339626,63446825,63912352,64307036,64329562,64551242,64569451,64879707,65003122,65833867,65892057,66080026,66101660,66367231,66373435,66747798,66956337,66998667,67479080,67529491,67650122,67689451,67709851,67881487,67907756,68081635,68094691,68148282,68180042,68418876,68736835,68789832,68887263,69174716,69242265,69390226,69396284,69500131,69512907,69520136,69652435,69675333,69880712,69928923,70044235,70136607,70500127,70564602,70965183,70976683,71330750,71477755,71584347,71599484,71901396,71916346,72025436,72074827,72107791,72332938,72384523,72512790,72611967,72776755,72977203,73151290,73424755,73544556,73554235,73810687,73837983,73858416,73976122,73993330,74041563,74107226,74244927,74389903,74485882,74507467,74515784,75054966,75160085,75352316,75421651,75913965,76136190,76313107,76317331,76668447,76732447,77346976,77388561,77804635,77868543,77910907,78210153,78341083,78411962,78442925,78589951,78615801,78766267,78862683,79297123,79321992,79423148,79495171,79640587,79648122,79709925,79826527,80703730,80974896,81030783,81211936,81249835,81322723,81340922,81370267,81697962,81809180,81961771,82063147,82363807,82484202,82591167,82705196,82946825,82979103,82981436,83009107,83064956,83090718,83437711,83527807,83559387,83582922,83583082,83727501,83813407,83830257,84053082,84161635,84210571,84414826,84494984,84706651,85023920,85167667,85255531,85319167,85479627,85596900,85773306,86025307,86174755,86324750,86431647,86537530,86801755,86974858,86998207,87000267,87015348,87332106,87414778,87566943,87621548,87687548,87755403,87781548,87814351,87913231,88109706,88112683,88257224,88265082,88319487,88640491,88676755,88791996,88801435,88812751,88830811,89035793,89158243,89175235,89237241,89325583,89351150,89441823,89668447,89746922,89765804,89769322,89941640,90192102,90260923,90485180,90492607,90542755,90640747,90671347,91038835,91096758,91240138,91303360,91363428,91519891,91743451,91992847,92098586,92213643,92216060,92718002,92866267,93107325,93126783,93140035,93308763,93365562,93428506,93509635,93843082,93981631,93991363,94131510,94215423,94250827,94285676,94435051,94810330,94980956,95010043,95056857,95057443,95059162,95262716,95296287,95405683,95474755,95651910,95741491,95771336,95988223,96390442,96746827,96844476,96903003,97011080,97126111,97278130,97307755,97400060,97408651,97499802,97611483,97640287,97839721,98171016,98206207,98260085,98337187,98646235,98798611,98843007,98909228,99192927,99249626,99289377,99312643,99314480,99367563,99508003,99536190,99797925,99858835,...,1043193624534653791750579743968511696281368743121301547067737869347747919633411156531883060474939382981660797959603955110057636552875042972478293469629693275604098459189565985167947036691092007065700434190692416468559028577006714979378894868271965263378579728492739970667951508033552458864814302473070419579899917792729083124691697582174463966352244262909729233124771494068828390940285469617743110447527870364777629702747259181023104222443661082934179910862587013389302751814747994859063952842584200151658672650864464742443685121083523929685209216649085507286847274871274661307709840797465667106883435702763972419928944518847295805170560171606505428410554006428215003858109746416118885548759017976098840778745458814224659495604621741328711606005511022805794734034834374085255250743766497484532874963350172119146221802191986606803634594674703062501201135446484356296557163327336664281040331401566229663055603944069261600029258362856958475768987192026210629677586702297385116421460964984107702339255581814409339404314542328464700932305165423709990964721072946802124568871776586281732357688823872134855130825626172721475682827135586788819187775413584042355416647395207852189669197400891263222407158380691791667428941227654857995419880187321723303307941615597860444237848117768956175059643403500486628064737896143675287792223664073059555822049982762369163159040694837878064412787411049860927955082744300933690269523716367053656694597841656204914997023397702869936548899928249303810600186577471131704707724499871408631057734507855270984536378353393909197237373211979981048135749211284236013016793403018986833544143980948420819237734094463593080225589759562377014147123550187509626520653476993924464142604415816911801519964843533374686316943963289633573043475415449390718231942572627383782227053005714617169103052192740451758829779854928912591205663237962366357488174085679801789939035427426306604188733368329365379964207449839693773804835304383087366372372058269403070596858307387259460490012181475744884805325764588237557023592342799372658600134680598437647228778932295576955124619978382483663283134483677859205171916967348917534091065379652304492575705520313136913773264651838270129206361107411176214929427288032832897775397785474187847163591924303019557507294741978206767943119398915062890179922887430093663337292760783177884049063961567759189821931052052180791647879174031247925497412546266880326}
15054   335429827191073712175976887849718432704228650457276828304923046: {345713,555629,615533,1063793,1142356,1450829,1539953,1599329,1954913,2044216,2221924,2299743,2338829,2427233,2484854,2486129,3020102,3131873,3307313,3365729,3376214,3453293,3569933,3724216,3802829,4006193,4015444,4103463,4180193,4189743,4527329,4613933,4671629,4873313,4885075,4959629,5148134,5786935,5818829,5862090,5875853,6158164,6160493,6252896,6330893,6532395,6727373,6755633,6944322,6967888,7034508,7080614,7150433,7319153,7571693,7580884,7838874,7953254,8267050,8301302,8575373,8648774,8769329,8907629,9100913,9168902,9266273,9321329,9403853,9460408,9706324,9773463,9920460,10311266,10377494,10415729,10497293,10581824,10642959,10741553,10765156,10876973,11039213,11236454,11397903,11551073,11601976,11635075,11821396,11904552,12077176,12166829,12262454,12433229,12486413,12603302,12884273,13019739,13026808,13052223,13225684,13359329,13392621,13452902,13576036,13586823,13622129,13674593,13831793,13962090,14014829,14298902,14327693,14636294,14655159,14730380,14804774,14892896,15182129,15233633,15238195,15644513,16002353,16020436,16027853,16256993,16259079,16314614,16384013,16716244,16754508,16789133,16915313,16924159,17676456,17768033,17842829,17917553,17995576,18285834,18450724,18474902,18545995,18636173,18703096,18710129,18784013,19193223,19445729,19628054,19833124,19886013,19967595,20174129,20245023,20703713,21040983,21043400,21134129,21292408,21298768,21490829,21527416,21554644,21680333,21768850,21963629,21969871,22198829,22255194,22444435,22849075,22969313,23045174,23177933,23231299,23268964,23405176,23673825,23708129,23953959,23961114,23977095,24177370,24218343,24245995,24620129,24635236,24665393,24733229,25071329,25252080,25362893,25563953,25575568,26122620,26229473,26295629,26330823,26588023,26676004,26691053,26914936,26933322,26935552,26996813,27062129,27344333,27345302,27418890,27538913,27603629,27668273,27861773,27864128,27916603,28183125,28368724,28408590,28417133,28599254,28772514,29012844,29043796,29051213,29095194,29246816,29302829,29449073,29678093,29712376,29761133,29864753,29926829,30062000,30194993,30279303,30302496,30371299,30447039,30543629,30788333,30939895,31153229,31347144,31385530,31732564,31804408,31815473,31895153,31954829,32000102,32547629,32586893,32704493,32732536,32902668,32997233,33067574,33070036,33133229,33187570,33196216,33294795,33423329,33426423,33461873,33654113,33819750,33825734,33864653,34090308,34093229,34226033,34320653,34339553,34514887,34539100,34715873,34735396,34790753,34846829,35072367,35218829,35265537,35399524,35481014,35514448,35731156,35734253,35770829,35779959,35780102,36074400,36203896,36246475,36261473,36393556,36496603,36665656,36764129,36824103,36906593,37054804,37127874,37242893,37266902,37271895,37345743,37357816,37562534,37646129,37662636,37820129,37854833,37982890,38044516,38114093,38245795,38388653,38479360,38542193,38970616,38982113,39032054,39178214,39314506,39400013,39756688,39825084,39894893,39917895,39953754,40090829,40123373,40172129,40583700,40631894,40655729,40671076,40729383,40894829,40967223,41005793,41039608,41100593,41248863,41289329,41367629,41446920,41476913,41570273,41651284,41786993,41927894,42017453,42027543,42261293,42518129,42579088,42642854,42712973,42742829,42787553,43070102,43279204,43289280,43333229,43362413,43387570,43495770,43666913,43841943,43911087,43928356,43982129,44199850,44210048,44265329,44405729,44476408,44573153,44726274,45579468,45593453,45699629,45885302,45894954,46067213,46132193,46169559,46175232,46395488,46627785,46644833,46821233,46858829,47020913,47132333,47156836,47169329,47230829,47243482,47631713,47894129,47898808,47901474,47958902,48035633,48070829,48210893,48232934,48440164,48453233,48700440,48782093,48793313,48849293,48949553,49036408,49082439,49126193,49148129,49224653,49263736,49387313,49548173,49633229,49718884,49729814,49736304,49770353,49791687,49978673,50000102,50019953,50035959,50204129,50234573,50672813,50673302,50702129,50828333,50991329,51019853,51075494,51086129,51104993,51226829,51310804,51411629,51556503,51575213,51616435,51771435,51842093,51914954,51947136,52065084,52077151,52101773,52194924,52262513,52274294,52304333,52559153,52575329,52631693,52774829,52798433,52868813,52907633,53030513,53039820,53098733,53136353,53158829,53255393,53344696,53357873,53379629,53473073,53717933,53723654,53765729,53846753,53855095,53886159,53900129,53946413,53998829,54018353,54095729,54284129,54357473,54376694,54453473,54465329,54473044,54483053,54593633,54636850,54636902,54656333,54678893,54706913,54787995,54939629,55017329,55026134,55078193,55152653,55165959,55191629,55206113,55222864,55284902,55296173,55324013,55421703,55445729,55543094,55544813,55561613,55582433,55707053,55809329,55923308,55953342,55956833,55973453,56031629,56068973,56072033,56099213,56114033,56160113,56163580,56174093,56214833,56240993,56271329,56335373,56342129,56379053,56421473,56475953,56490893,56495729,56533229,56540129,56557133,56571629,56575808,56602829,56617313,56624753,56642273,56646893,56649953,56653229,56653613,56655329,56655629,56729656,57179896,57294436,57461174,58079608,58229716,58318935,58431475,58440528,58847174,58851796,59044195,59471414,60012783,60191103,60339302,60585974,60709094,60711124,60830119,60938799,60954902,61145623,61566902,61763482,61939722,62125722,62206864,62252644,62867236,63287583,63463179,63647784,63740294,63820863,64327383,64335734,64626114,64839435,65009236,65189995,65201311,65339559,65564220,65745594,65908408,65967122,66899095,67258934,67396296,67678604,67908856,68403014,68630102,69022059,69162064,69239608,69406743,69461176,69935168,69982722,70117770,70537094,70647974,70853034,71051476,71060444,71200214,71231416,71603757,71656075,72510902,72544036,72841684,73050902,73219047,73274343,73800854,73879096,73933111,74090935,74146959,74164220,74395930,74438054,74539576,74792288,75488667,75507556,75820833,75858808,76078456,76215302,76397463,76508295,76730102,76804195,76935850,77225071,77564884,77807322,77894559,78143823,78227994,78677064,78698935,78753302,79025764,79317076,79890440,79950508,80135343,80278914,80383795,80457976,80479444,81393254,81608848,82155302,82627075,83113983,83290936,83373974,83799919,83857023,84020102,84141324,84348850,84875703,84884695,85201334,85341159,85523595,85588263,85899639,85987290,86468395,86506276,86709302,86745355,86900170,87350890,87648159,87669543,87856076,88511697,88909122,88997064,89102294,89275116,89331556,89434934,89499355,89517734,89876745,90031795,90515223,90864376,90983431,91225168,91719776,91740399,91809954,91849684,91856294,91930695,92091302,92165034,92323020,92352327,92683876,92716599,92900444,93144730,93238564,93515476,93702303,93999302,94086136,94190395,94370102,94438722,94517414,94620244,94883174,95009439,95245334,95445796,95868528,96460554,96494343,96683720,96815956,96826863,97504683,97545302,97880102,98059408,98342774,98408294,98450644,98477888,98722084,98902783,98993236,99120039,99152490,99183302,99278935,99373814,99688454,...,1564790436801980687625869615952767544422053114681952320601606804021621879450116734797824590712409074472491196939405932665086454829312564458717440204444539913406147688784348977751920555036638010598550651286038624702838542865510072469068342302407947895067869592739109956001927262050328688297221453709605629369849876689093624687037546373261695949528366394364593849687157241103242586410428204426614665671291805547166444554120888771534656333665491624401269866293880520083954127722121992288595929263876300227488008976296697113665527681625285894527813824973628260930270912306911991961564761196198500660325153554145958629893416778270943707755840257409758142615831009642322505787164619624178328323138526964148261168118188221336989243406932611993067409008266534208692101052251561127882876115649746226799312445025258178719332703287979910205451892012054593751801703169726534444835744991004996421560497102349344494583405916103892400043887544285437713653480788039315944516380053446077674632191447476161553508883372721614009106471813492697051398457748135564986447081609420203186853307664879422598536533235808202282696238439259082213524240703380183228781663120376063533124971092811778284503796101336894833610737571037687501143411841482286993129820280982584954961912423396790666356772176653434262589465105250729942097106844215512931688335496109589333733074974143553744738561042256817096619181116574791391932624116451400535404285574550580485041896762484307372495535096554304904823349892373955715900279866206697557061586749807112946586601761782906476804567530090863795856059817969971572203623816926354019525190104528480250316215971422631228856601141695389620338384639343565521220685325281264439780980215490886696213906623725367702279947265300062029475415944934450359565213123174086077347913858941075673340579508571925753654578289110677638244669782393368886808494856943549536232261128519702684908553141139459906283100052494048069946311174759540660707252956574631049558558087404104605895287461080889190735018272213617327207988646882356335535388514199058987900202020897656470843168398443365432686929967573725494924701725516788807757875451023376301136598069478456738863558280469705370659896977757405193809541661116764322394140932049249346663096678211281770745387886454529336260942112967310151914679098372594335269884331145140495005939141174766826073595942351638784732896578078271187471818761046871888246118819400320489}
15055   336946350650714197678263240462879574308355699187582117791166139: {30106,1427945,1713534,1788689,2149433,2555270,2777405,3066324,3258689,3332886,3637502,3727281,4530153,4655270,5019305,5064321,5119433,5421137,5471284,5586324,5659901,6023166,6096902,6560681,7697705,7722201,7816120,8277857,8709860,8793135,8980166,9237246,9259096,9379344,9476105,9578294,9700982,10053593,10151729,10416483,10451832,10551762,10567529,10620921,11371326,11398457,11491961,11740166,11758311,11825510,11929881,12132905,12400575,12451953,12973161,13031284,13227280,13456445,13753353,14190612,14205581,14502470,14559486,14776745,14880690,15087881,15096470,15197204,15466899,15566241,15746129,15872736,15948449,16147734,16283510,16365209,16532105,16854681,16970045,17359652,17402964,17732094,17856828,18115764,18393681,18412975,18616120,18630857,18636422,18683801,18836489,18904953,19043393,19055537,19447934,19540212,19838526,20003321,20025545,20179353,20364054,20479529,20895305,20943135,21448353,21678772,21930701,21954441,22095570,22207161,22339344,22378622,22450457,22494470,23063405,23378870,23550569,23568608,24030654,24040214,24381112,24471921,24791405,25074366,25131762,25275377,25590964,25709849,25998329,26304250,26514684,26615510,26623460,26909270,26943305,26993364,26999366,27428751,27532577,27632774,27663437,27676086,27677681,27712353,27828857,28054644,28640969,29046689,29086205,29231033,29256470,29442081,29673592,29749686,30350657,30794045,31065689,31075142,31528601,31528673,31565100,31678409,31938612,31948152,31969460,32039681,32082449,32277206,32291124,32331966,32393246,32653275,32688089,33345005,33382791,33440381,33643670,33669440,33757949,33834113,33851774,34099289,34099382,34243577,34567761,34596614,34787102,34830160,34903446,35107764,35366801,35460905,35629574,35909657,35911096,35941671,36266055,36304745,36355913,36558520,36875033,36952854,37063529,37113494,37140470,37256702,37411961,37577500,37878120,38214929,38363352,38398841,38683792,38793592,38916857,39183930,39216473,39229814,39265769,39342977,39665705,39755510,40014006,40174502,40372404,40399983,40403328,40596052,40681433,40915670,41017953,41059409,41128335,41337545,41495270,41796192,41911457,41995277,42003014,42145097,42553086,42612885,42853049,42898881,42906857,43105769,43158771,43173875,43419245,43519266,43565694,43642791,43666697,43870224,44098301,44249405,44384057,44393060,44568564,44575001,44663945,44995049,45093000,45229622,45254870,45453744,45491945,45832070,46318505,46676609,46697270,46723913,46763156,46893521,47020716,47078295,47155454,47179337,47555645,47598846,47706612,48000153,48099200,48320006,48713270,49098804,49161197,49188134,49268822,49354002,49467902,49503832,49601361,49605054,49638449,49695860,49766849,49781355,49794324,50032409,50216848,50225606,50529401,50718833,50729625,50738601,50819657,50838845,51135462,51299510,51808650,52038233,52062182,52064105,52103094,52780694,53099286,53100112,53184449,53221521,53223860,53271672,53281601,53356094,53570033,53596734,53670153,54099005,54111600,54298361,54305844,54311702,54331934,54429281,54431006,54590334,54622964,54910445,54998484,55262560,55431377,55582206,55595510,55691811,55743881,55900353,56036724,56343801,56493954,56591414,56974335,57066774,57067646,57110321,57334166,57669857,57687734,57719040,57760301,57994360,58122902,58455924,58548081,58548116,58649489,58767321,58946045,58971759,59014337,59420249,59557433,59635032,59737626,59873510,59930631,60009497,60516806,60550205,60584657,60623309,60772624,60778529,60875550,60947841,61006614,61193272,61295510,61559412,61566976,61579670,61824713,62148605,62170380,62327489,62403902,62476926,62482601,62762681,62891841,63225089,63302534,63868632,63964281,64138505,64273361,64605153,64631513,64644209,64918806,64933920,64982654,65081355,65222129,65243655,65302262,65443252,65814302,65892534,66299775,66315072,66376457,66388916,66568649,66680870,66714612,66871766,67089411,67193177,67698557,68031569,68091305,68174006,68369202,68525561,68742004,68827953,68842431,68845502,69028580,69262848,69360134,69420112,69593232,69904135,69972809,70204475,70400729,70403222,70719760,70735254,70865223,70912070,71129981,71407742,71474870,71618045,71848212,71852211,71926313,71938353,72157289,72165857,72349401,72357689,72599510,72660246,72787145,72879569,73050660,73451006,73554612,73564745,73895604,74100221,74578326,74594721,74604456,74627894,74784902,75000153,75417542,75474137,75861374,75888905,76009953,76025846,76522697,76613241,76876094,76881089,76966206,77516609,77553782,77676617,77758580,77803661,77815805,77872431,77920704,77981849,78097626,78292386,78411441,78584045,79326881,79424102,79506329,79559730,79645913,79822022,80017044,80020733,80254804,80585481,81251732,81261545,81565041,81709566,81955275,81955353,81972797,82325369,82385510,82539201,82586296,82834296,82896062,82927353,83061929,83284073,83314641,83884962,83930013,83972246,84245370,84383444,84426182,84598255,84617572,84863712,84886070,85094484,85179341,85511294,85566617,85769844,85801982,85941654,86168152,86191761,86307353,86452580,86549510,86826470,87119412,87344574,87418934,87418960,87426326,87557681,87564127,87660792,88064702,88145549,88270761,88277694,88733873,88814345,88825555,89039270,89207121,89424854,89861728,90508953,90548489,90680045,90683801,90878961,91052105,91063641,91066686,91217534,91432353,91764329,91889534,92029412,92348870,92350353,92542324,92645223,92705275,92879033,92909583,92922809,92972177,93174470,93188583,93310296,93378966,93490360,93560153,94085822,94117697,94300854,94340441,94345982,94384445,94470712,94823510,95098070,95213054,95314289,95471676,95610441,95738297,96164861,96231569,96395849,96503601,96595574,96776609,96891833,96939171,96956105,97139177,97167449,97308233,97399766,97513409,97513854,97625396,97699124,98061929,98266877,98346330,98478881,98618391,98714681,98780006,98782205,98862612,98950683,99146345,99249233,99863050,99938135,...,2086387249069307583501159487937023392562737486242603094135475738695495839266822313063766120949878765963321595919207910220115273105750085944956586939259386551208196918379131970335894073382184014131400868381384832937118057154013429958757789736543930526757159456985479941335903016067104917729628604946140839159799835585458166249383395164348927932704488525819458466249542988137656781880570939235486220895055740729555259405494518362046208444887322165868359821725174026778605503629495989718127905685168400303317345301728929484887370242167047859370418433298171014573694549742549322615419681594931334213766871405527944839857889037694591610341120343213010856821108012856430007716219492832237771097518035952197681557490917628449318991209243482657423212011022045611589468069668748170510501487532994969065749926700344238292443604383973213607269189349406125002402270892968712593114326654673328562080662803132459326111207888138523200058516725713916951537974384052421259355173404594770232842921929968215404678511163628818678808629084656929401864610330847419981929442145893604249137743553172563464715377647744269710261651252345442951365654271173577638375550827168084710833294790415704379338394801782526444814316761383583334857882455309715990839760374643446606615883231195720888475696235537912350119286807000973256129475792287350575584447328146119111644099965524738326318081389675756128825574822099721855910165488601867380539047432734107313389195683312409829994046795405739873097799856498607621200373154942263409415448999742817262115469015710541969072756706787818394474746423959962096271498422568472026033586806037973667088287961896841638475468188927186160451179519124754028294247100375019253041306953987848928285208831633823603039929687066749372633887926579267146086950830898781436463885145254767564454106011429234338206104385480903517659559709857825182411326475924732714976348171359603579878070854852613208377466736658730759928414899679387547609670608766174732744744116538806141193716614774518920980024362951489769610651529176475114047184685598745317200269361196875294457557864591153910249239956764967326566268967355718410343833934697835068182130759304608985151411040626273827546529303676540258412722214822352429858854576065665795550795570948375694327183848606039115014589483956413535886238797830125780359845774860187326674585521566355768098127923135518379643862104104361583295758348062495850994825092533760652}
15056   338469675530279685126377251174436318032534437485472417075500421: {45159,645559,691426,1093759,1111258,1231066,1629223,1895983,2127586,2284712,2570301,2901658,3079906,3198658,3395383,3832905,3909826,4088432,4093783,4443848,4599486,4677658,4854466,4969708,4972258,4999329,5456253,5476759,6040204,6263746,6614626,6731458,6752428,6756559,6839105,6906586,6982905,7139866,7263943,7448432,7600759,7605658,8012386,8030888,8101709,8206926,8354383,8360386,8379486,8770543,8936503,9034749,9054658,9145353,9227866,9343258,9746626,9770150,9919258,10172023,10296268,10498759,10887325,11573870,11637658,11724180,11751706,12195223,12316328,12320986,12505792,12514759,12661786,12833143,13064790,13454746,13470249,13511266,13855869,13888644,13935776,14069016,14161228,14300866,14367441,14551473,14638306,15143386,15161768,15261559,15646759,15677748,15827643,15906508,16030159,16289105,16534100,16602604,17056989,17150746,17244943,17297548,17538658,17610249,17738265,17815258,17845423,18201826,18218383,18337804,18532546,18642658,18807706,18920816,18996505,19399759,19412648,19472983,19546926,19838023,19840920,20201263,20622532,20754988,20831458,20850559,20994586,21163648,21280183,21285918,21333473,21483106,21530312,21699565,21753705,21753946,21839229,22078426,22202143,22321035,22472908,22644705,22795806,23102146,23203952,23250823,23270150,23389423,23642792,23734663,23809104,24154352,24221601,24333658,24425265,24524908,24691759,24759583,24866458,24972826,25206604,25768546,25964393,26034559,26039478,26053616,26104446,26451368,26598141,26695159,26718658,26785242,26905804,27022759,27088063,27098465,27152072,27173646,27244258,27349186,27607903,27663586,27924180,27954633,28029658,28315159,28597804,28655386,29171901,29265559,29272588,29310318,29460760,29609548,29757789,29785792,30364258,30467266,30476390,30546081,30752503,30889969,31057063,31117759,31289026,31420159,31422209,31780663,31988705,32004706,32040872,32055706,32513986,32518158,32629228,32768026,32846623,32992349,33138583,33143355,33196759,33279325,33432488,33486559,33509016,33567933,33578266,33741705,33830626,33848318,33944393,34003663,34345159,35068305,35352912,35536066,35685658,35835106,35991152,36045981,36060321,36339703,36571668,36609343,36901448,36949804,37091990,37272346,37406192,37420258,37568026,37611549,37669903,37697643,38086063,38189383,38386446,38891458,38904559,39256108,39456375,39666248,39772026,39923265,39935190,39961825,40146559,40195303,40348258,40363905,40490046,40499049,40678783,40790321,40917823,41343559,41407426,41449161,41514129,41809759,42081966,42086800,42223183,42268258,42314263,42540703,42584816,42597536,42981658,43054832,43109288,43132349,43315853,43360666,43537700,43559143,43818559,43884705,43927258,43939742,44397658,44510388,44624529,44888870,44912743,45280159,45698150,45721303,45938626,46090348,46355866,46424383,46462598,46537928,46612713,46810352,46971875,47347650,47416258,47907918,47922228,47954190,48080023,48115159,48354740,48415809,48428143,48436686,48491990,48497949,48589869,48802759,49135759,49168663,49240258,49270472,49299559,49330786,49466458,50060743,50142658,50214103,50465505,50504160,50725786,50745065,50777661,50809543,51127906,51149073,51151136,51237223,51376183,51808759,51894921,52172143,52180653,52197559,52245240,52298503,52323559,52355169,52458946,52591258,52661646,53041759,53155159,53176046,53177623,53352008,53382106,53444361,53463103,53544113,53611783,53829872,53866644,53871104,53878543,53918503,53993626,54094759,54124258,54190159,54357343,54465559,54688666,54690604,54724759,54807559,54837780,54952063,55077826,55105783,55207258,55252303,55266559,55322863,55336546,55350583,55429281,55458583,55491325,55670241,55672783,55710705,55723546,55728256,55833206,55876903,55885053,55949983,55990159,56085559,56130559,56173759,56356063,56366250,56388823,56431663,56511583,56547583,56617423,56632759,56645503,56658463,56670343,56737448,56817180,56834266,57198508,57545028,58025688,58087592,58102426,58190388,58453945,58493632,58605658,58775895,58844721,58898146,59356186,59424752,59522266,59633265,59729506,59853658,60021009,60124000,60261753,60389986,60558606,60604992,60742598,60894078,61087258,61373505,61576666,61879790,62119825,62242905,62306458,62694288,62771060,63004521,63465128,63608816,63630946,63790306,63829629,63909658,64000204,65095258,65173786,65278899,65348541,65408986,65465072,65805336,65994466,66135148,66140072,66266458,66375140,66392432,66529825,66589590,66846658,66852846,66923746,67308226,67639500,67651468,67729306,67844433,67882305,68180616,68186458,68278705,68452066,68641306,68679106,68748105,69029774,69078200,69431746,69470792,69581506,69693658,70045905,70144734,70437658,70531074,70733181,70799048,70962028,71028896,71398269,71462312,71468506,71541658,71559918,71560204,72148800,72263009,72407792,72480009,72492950,72522946,72787112,72993206,73069905,73185145,73331312,73528258,73648206,73782201,73813186,73903233,74031003,74109608,74201853,74255748,74407581,74485786,74533804,74543790,74691486,74715632,75125068,75292258,75325272,75338409,75397133,75640258,75709666,75965780,76089032,76228186,76491590,76703193,76777306,76949265,76958720,77084386,77712975,77941232,77964226,78064108,78093273,78154641,78356428,78629012,78800026,79171041,79513376,79648929,79650168,79789786,79835790,79907508,80034141,80181658,80246746,80344258,80395101,81167400,81263788,81311458,81342152,81458766,81467553,81497901,81646509,81789658,81804065,81885501,81934446,82011586,82079216,82201186,82497726,82578658,82661873,82735258,82893840,82953826,82986145,83140546,83302568,83373309,83393265,83573986,83855788,84034906,84055086,84522586,84740931,84887121,85036258,85158176,85285708,85425946,85485658,85575106,85600161,85601469,85927505,86001249,86140204,86285725,86531601,86558408,86578560,86666458,86724826,86775140,86991540,87184353,87333826,87683886,87822174,87856712,87964258,88399700,88420096,88530658,88811458,88952816,89146306,89452548,89606439,89810265,90775209,91158936,91186906,91265993,91313325,91399258,91509921,91770604,91789908,91943265,92134426,92264386,92339118,92350464,92369505,92790976,93255570,93289666,93605853,93642466,93658733,93715389,93717658,94041826,94264666,94313672,94338658,94461658,94486964,94953801,95263426,95788258,95797616,95802948,95917804,96071266,96141658,96421786,96465868,96880328,96906466,97198225,97378209,97400880,97473981,97564186,97586626,97698586,97899106,97953393,98072816,98164878,98252386,98296258,98449306,98527472,98721453,98774626,98838801,99096346,99266458,99437768,99459628,99472608,99540706,99583374,99957346,...,3129580873603961375251739231905535088844106229363904641203213608043243758900233469595649181424818148944982393878811865330172909658625128917434880408889079826812295377568697955503841110073276021197101302572077249405677085731020144938136684604815895790135739185478219912003854524100657376594442907419211258739699753378187249374075092746523391899056732788729187699374314482206485172820856408853229331342583611094332889108241777543069312667330983248802539732587761040167908255444243984577191858527752600454976017952593394227331055363250571789055627649947256521860541824613823983923129522392397001320650307108291917259786833556541887415511680514819516285231662019284645011574329239248356656646277053928296522336236376442673978486813865223986134818016533068417384202104503122255765752231299492453598624890050516357438665406575959820410903784024109187503603406339453068889671489982009992843120994204698688989166811832207784800087775088570875427306961576078631889032760106892155349264382894952323107017766745443228018212943626985394102796915496271129972894163218840406373706615329758845197073066471616404565392476878518164427048481406760366457563326240752127066249942185623556569007592202673789667221475142075375002286823682964573986259640561965169909923824846793581332713544353306868525178930210501459884194213688431025863376670992219178667466149948287107489477122084513634193238362233149582783865248232902801070808571149101160970083793524968614744991070193108609809646699784747911431800559732413395114123173499614225893173203523565812953609135060181727591712119635939943144407247633852708039050380209056960500632431942845262457713202283390779240676769278687131042441370650562528879561960430981773392427813247450735404559894530600124058950831889868900719130426246348172154695827717882151346681159017143851507309156578221355276489339564786737773616989713887099072464522257039405369817106282278919812566200104988096139892622349519081321414505913149262099117116174808209211790574922161778381470036544427234654415977293764712671070777028398117975800404041795312941686336796886730865373859935147450989849403451033577615515750902046752602273196138956913477727116560939410741319793955514810387619083322233528644788281864098498693326193356422563541490775772909058672521884225934620303829358196745188670539768662290280990011878282349533652147191884703277569465793156156542374943637522093743776492237638800640978}
15057   339999832088392944161372683193335475284190673917609548924856800: {60212,1037139,1666887,1846599,1999123,2540239,2855890,3191379,3427068,3577378,3888367,4298866,4352487,4619859,4790423,4797987,5110540,5554810,5864739,5871647,6050239,6132648,6212135,6517378,6665772,6899229,7016487,7027027,7275004,7281699,7454562,7458387,7550255,8440535,9060306,9310540,9395619,9921939,10038610,10097187,10128642,10238866,10359879,10709799,10776787,10842274,10942568,11172648,11319802,11408487,11881519,12018579,12046332,12193804,12310389,12540579,12569229,12870335,13121362,13266547,13581987,13841799,14014887,14619939,14642903,14655225,14878887,15395410,15444402,15632240,16555714,16986067,17360805,17419720,17456487,17583203,17586270,17627559,17701535,17960332,18067583,18474492,18481479,18518192,18758688,18839023,18848167,18952210,18992679,19156588,19401964,19597185,19883135,19972339,20107186,20182119,20266899,20303458,20511727,20667625,20687443,20753255,20832966,20903664,21103524,21104327,21135058,21241842,21451299,21621935,21957459,22620863,22715079,22742652,22796914,22922255,22983922,23144947,23480332,23516622,23651020,23758063,23859762,24265810,24416183,24801150,24903906,25611959,25650263,25726119,25778165,25943735,25946322,26062568,26307987,26454560,26722887,26912890,27302739,27332723,27506706,27798819,27963987,28035763,28091135,28211559,28381224,28411162,28541459,28845263,29004940,29118972,29253427,29273123,29320389,29553490,29761380,30175762,30192940,30384367,30394408,30656135,30796463,30917959,30933798,31132482,31247187,31491879,31492258,31508255,31745472,31896898,31928877,32224659,32288767,32295468,32567020,32630919,32730418,33064210,33117639,33632255,33709362,33940090,34193709,34653219,34707967,34719304,34805928,34905225,35464188,35713656,35747255,36180983,36231528,36500487,36590735,36605203,36787362,36825950,37011935,37232240,37257887,37261159,37261714,37272844,37299687,37367602,37459239,37672978,37718903,37720627,37809906,37965719,38086786,38111074,38557559,38652819,38895868,39059217,39080424,39156669,39677052,40006642,40051090,40077987,40177863,40358706,40371847,40720687,40728108,40760469,40786535,40866387,40959058,41023779,41459123,41495379,41790610,41886270,41997359,42044487,42710803,42767219,42896706,42966079,42983079,43062307,43111663,43357544,43723847,43861402,43908882,43965477,44191140,44414322,44678688,44757244,44891503,44900914,44988940,45546387,45700899,45714585,46126810,46187255,46683007,46757740,46933539,46940447,47101138,47137216,47548919,47649139,48007059,48061308,48080428,48083559,48762224,48770979,48777237,48943842,49070135,49152039,49582810,49645267,49709207,49851443,50148732,50263524,50367399,50550754,50745939,50772477,50826643,51181928,51419698,51996658,52002659,52608500,53029368,53175967,53231020,53246920,53304099,53528487,53558647,53752659,53818540,53886610,53986728,53998732,54422125,54857502,55065154,55265548,55326874,55352172,55355362,55424706,55531987,55637985,55657714,55908519,56106083,56109288,56130387,56352039,56593703,57104147,57163367,57281938,57579669,57612935,57872563,58093378,58172410,58337187,58462066,58512940,58815367,58884162,59161943,59347184,59441443,59499372,59658039,59902785,59940439,60443425,60522387,60701314,60735069,60786943,61014823,61588090,61949167,62111139,62131378,62150284,62529523,62717303,63057202,63057346,63122949,63130200,63310039,63356818,63402387,63688723,63877224,63896304,63938920,64079362,64148083,64164898,64292159,64472487,64554412,64582248,64586927,64663932,64786492,64845907,65040999,65205299,65306550,65376178,65890887,65909613,66452119,66577903,66596487,66690010,66765582,66880762,66989347,67287340,67333305,67338880,67415843,67515898,67547783,67668226,67703548,67755463,68198578,68198764,68363255,68487154,68547225,68907939,69135522,69193228,69533799,69574204,69660320,69693897,69806892,70215528,70503743,70733602,70921810,71021475,71124387,71174383,71259148,71498135,71819314,71822192,71861877,71883342,71931285,72367423,72532110,72609490,72655029,72711826,72737985,72889747,73117040,73454807,73750066,73860387,73905708,73996179,74127058,74199687,74226988,74280940,74513404,74823922,75155000,75213987,75738607,75756240,76035283,76088679,76429858,76691859,76726704,76797682,76874623,77367584,77587184,77833714,78367860,78432946,78459628,78463825,78531538,78685954,78688419,78886887,78992469,79117967,79331410,79342247,79511020,79764069,80000255,80028012,80073159,80349004,80466419,80744808,80799966,80806656,80990439,81186387,81192104,81297907,81362866,81392663,81831340,82032999,82035906,82118818,82256670,82524463,82616739,82668935,82675090,82810887,82968925,82990540,83004819,83073103,83575343,83585319,83592384,83749809,83822914,83990554,84006028,84290194,84480887,84549375,84564335,84729503,84770287,85106172,85225770,85251399,85342259,85706098,85797762,85813714,85925923,86211538,86317542,86347750,86838490,87008047,87038532,87131388,87153639,87285582,87333394,87740448,87908487,88196602,88347219,88498810,88702535,88768114,88771223,88774103,88786120,89034279,89137128,89150002,89182199,89283399,89327890,89349779,89450255,89594259,89780487,89793907,89990098,90186000,90459244,90509740,90584979,90822503,90837909,90907488,90983890,91113897,91341117,91467763,91610003,91630887,91664140,92160367,92364999,92637010,92819685,93167255,93353218,93394540,93447826,93459687,93526312,93787042,93906335,94006883,94041432,94134143,94156590,94310908,94358674,94957225,95111290,95191283,95197692,95327827,95348639,95413224,95431727,95446419,95685459,95864487,96000306,96198400,96640012,97426540,97580135,97642887,97760679,97865789,97945535,98113479,98197608,98286265,98322394,98376268,98537644,98708004,98935804,98983663,98991699,99007664,99202722,99210108,99276898,99339599,99391720,99399687,99533698,99562710,99588648,99794063,99884385,...,4694371310405942062877608847858302633266159344045856961804820412064865638350350204393473772137227223417473590818217797995259364487937693376152320613333619740218443066353046933255761665109914031795651953858115874108515628596530217407205026907223843685203608778217329868005781786150986064891664361128816888109549630067280874061112639119785087848585099183093781549061471723309727759231284613279843997013875416641499333662362666314603969000996474873203809598881641560251862383166365976865787787791628900682464026928890091340996583044875857683583441474920884782790812736920735975884694283588595501980975460662437875889680250334812831123267520772229274427847493028926967517361493858872534984969415580892444783504354564664010967730220797835979202227024799602626076303156754683383648628346949238680397937335075774536157998109863939730616355676036163781255405109509179603334507234973014989264681491307048033483750217748311677200131662632856313140960442364117947833549140160338233023896574342428484660526650118164842027319415440478091154195373244406694959341244828260609560559922994638267795609599707424606848088715317777246640572722110140549686344989361128190599374913278435334853511388304010684500832212713113062503430235524446860979389460842947754864885737270190371999070316529960302787768395315752189826291320532646538795065006488328768001199224922430661234215683126770451289857543349724374175797872349354201606212856723651741455125690287452922117486605289662914714470049677121867147700839598620092671184760249421338839759805285348719430413702590272591387568179453909914716610871450779062058575570313585440750948647914267893686569803425086168861015153918030696563662055975843793319342940646472660088641719871176103106839841795900186088426247834803351078695639369522258232043741576823227020021738525715777260963734867332032914734009347180106660425484570830648608696783385559108054725659423418379718849300157482144209838933524278621982121758869723893148675674262212313817685862383242667572205054816640851981623965940647069006606165542597176963700606062692969412529505195330096298060789902721176484774105176550366423273626353070128903409794208435370216590674841409116111979690933272215581428624983350292967182422796147748039989290034633845312236163659363588008782826338901930455744037295117783005809652993435421485017817423524300478220787827054916354198689734234813562415456283140615664738356458200961467}
15058   341536850717211443573655012031685405584857749661024125417962771: {75265,90318,615697,1291118,1332241,1382852,1510657,1599757,2187518,2222516,2462132,2486797,2663341,2839597,3258446,3366637,3791966,4255172,4283835,4569424,4586317,4672897,5140602,5276941,5366067,5706241,5803316,5877457,6133741,6159812,6304237,6388175,6397316,6448299,6790766,6813997,7405441,7573777,7665810,7819652,8176864,8187566,8244241,8332215,8887696,9093755,9198972,9323917,9355316,9574747,9708932,9776067,9939416,9944516,9998658,10912506,10953518,11181843,11527441,11638175,12080408,12489937,12527492,13229252,13462916,13504856,13513118,13590459,13678210,13678477,13757137,13813172,13965810,14279732,14527886,14695441,14850817,14896864,15057915,15192963,15201518,15211316,15237997,15242255,15358299,16006957,16024772,16061776,16203418,16263411,16388737,16413852,16708766,16720772,16758972,16844497,16979703,16995841,17372941,17541086,17598337,17873006,17897857,17972557,18069498,18109316,18290706,18455732,18641617,18686516,18715597,19231441,19493252,19540300,19597741,19682043,19838516,20107537,20344046,20592536,20997518,21044941,21188077,21544657,21615757,21774650,21970177,22450415,22804747,22952977,23093115,23147740,23166603,23275316,23448360,23503412,23945735,24252455,24390446,24632656,24641972,24672877,24833571,25011584,25029518,25078957,25323572,25348237,25549441,25666286,26129580,26379405,26595107,26909492,26940498,27022532,27200941,27655297,27711738,27777288,27871552,28138032,28322456,28428315,28601732,28680577,28734882,28997197,29102946,29276612,29350415,29563775,30160779,30286772,30323536,30368941,30379391,30455187,30491917,30523118,30553297,30859117,31249449,31293518,31355496,31655286,31702587,31705837,31813016,31862763,32060318,32183341,32578210,32597377,32949457,33068200,33205208,33472717,33645841,34104337,34113978,34195371,34218241,34301492,34475883,34489886,34501741,34524083,34595096,34895617,35077316,35220498,35230417,35274933,35341441,35476530,35617741,35630516,35690846,35782657,35789643,36256175,36398715,36403652,36436766,36506327,36675608,36972241,37065092,37201725,37237741,37285316,37355859,37615412,37741175,37841632,37867597,37937851,37993010,38384557,38435857,38799518,38825296,38919483,38945966,39093852,39296941,39676046,39681840,40137217,40369335,40402526,40708775,40765741,41245064,41260059,41509976,41662916,41701118,41708941,41781179,41989172,42327296,42560366,42571836,42616743,42623341,42666946,42758017,42966212,43060624,43377937,43399130,43507410,43507892,43678458,44154241,44156852,44239057,44330235,44404286,44642070,44783341,44784187,44945816,45263643,45289410,45591612,45676717,45992941,46204292,46400697,46407904,46501646,46540300,46573441,46591055,46698723,46778846,46838797,47211757,47238387,47248657,47285584,47469326,47618208,47726327,47845347,48206743,48308704,48443202,48619835,48667316,48800977,48850530,49049816,49095627,49167277,49232941,49383518,49519166,49596315,49652737,49716241,49732916,49873741,49945652,50121997,50395777,50413208,50545357,50564043,50910135,51125677,51537092,51757441,51928786,52069118,52071937,52078956,52107232,52208892,52450477,52597357,52645741,52902736,52929997,53113741,53196282,53390318,53402497,53437316,53570484,53699857,53811608,53863441,54022417,54045518,54176126,54196930,54304144,54347292,54435841,54488516,54489517,54612241,54698372,54911617,54974977,55181043,55202317,55215806,55216897,55238925,55316941,55327172,55386241,55519441,55669777,55848360,55892571,55909266,55946555,55980241,56051403,56059316,56096017,56193037,56236175,56303917,56347117,56374477,56381137,56425741,56509441,56509467,56519377,56542957,56595841,56630318,56646637,56679757,56683537,56684941,56685697,56685841,56714859,57130179,57166611,57195608,57310772,58343802,58447175,58531118,58545176,58620636,58921520,59219096,59515578,59571584,60009963,60076635,60100535,60538059,60728516,60934532,60952780,61092162,61438587,61505006,61779938,62114126,62235518,62578052,62685915,62829405,62840318,62844418,63561326,63977410,64009412,64081744,64111412,64345059,65027972,65036316,65258456,65536052,65693246,65760625,65792103,65863323,65984698,66277166,66286710,66393518,66538775,66558650,66621483,66864976,66973118,67018032,67135866,67156532,67273175,67351371,67483410,67498415,67661252,67696636,67888786,68007326,68690318,69081935,69190215,70136610,70651707,70705824,71043091,71072132,71371316,71670212,71982304,72091962,72120642,72679406,73141175,73143336,73218686,73415763,73802896,73899608,74183980,74374215,74544692,74812384,74840516,75136052,75223098,75339806,75395286,75826131,76172126,76378766,76772892,77129547,77687855,77782916,77809118,77994987,78512216,78912750,79332496,79544052,79846530,79870380,79923650,80293118,80390606,80693015,80696516,80727810,80829915,80980092,80983115,80998098,81357566,81580642,81835523,81835646,82286253,82597731,82687118,82814852,82898322,82990311,83028258,83033043,83137059,83486571,83619518,84109175,84163932,84173600,84446366,84536516,84628526,84629435,85081406,85169632,85195072,85248455,85922907,85963316,86109664,86218576,86264698,86491535,86631706,86721332,86967755,87075400,87118286,87140067,87258615,87637118,87693099,87769410,87854516,87879484,88326243,88795316,89020776,89073935,89249058,89777740,89825486,90560318,91051971,91396300,91442606,91877252,92180696,92382135,92711732,92783735,92848766,92851175,92925196,93075856,93141755,93197067,93225426,93620704,93943750,94585803,94586019,94695300,94832516,95035227,95590187,95815836,95844456,95908380,96085979,96119043,96160046,96230318,96247347,96709480,96831618,96856286,96873372,96983980,96995898,97179738,97605518,97959825,98064267,98074535,98271518,98337326,98480516,98540944,98599118,98661572,98932916,99388775,...,6259161747207922750503478463811070177688212458727809282406427216086487517800466939191298362849636297889964787757623730660345819317250257834869760817778159653624590755137395911007682220146552042394202605144154498811354171462040289876273369209631791580271478370956439824007709048201314753188885814838422517479399506756374498748150185493046783798113465577458375398748628964412970345641712817706458662685167222188665778216483555086138625334661966497605079465175522080335816510888487969154383717055505200909952035905186788454662110726501143578111255299894513043721083649227647967846259044784794002641300614216583834519573667113083774831023361029639032570463324038569290023148658478496713313292554107856593044672472752885347956973627730447972269636033066136834768404209006244511531504462598984907197249780101032714877330813151919640821807568048218375007206812678906137779342979964019985686241988409397377978333623664415569600175550177141750854613923152157263778065520213784310698528765789904646214035533490886456036425887253970788205593830992542259945788326437680812747413230659517690394146132943232809130784953757036328854096962813520732915126652481504254132499884371247113138015184405347579334442950284150750004573647365929147972519281123930339819847649693587162665427088706613737050357860421002919768388427376862051726753341984438357334932299896574214978954244169027268386476724466299165567730496465805602141617142298202321940167587049937229489982140386217219619293399569495822863601119464826790228246346999228451786346407047131625907218270120363455183424239271879886288814495267705416078100760418113921001264863885690524915426404566781558481353538557374262084882741301125057759123920861963546784855626494901470809119789061200248117901663779737801438260852492696344309391655435764302693362318034287703014618313156442710552978679129573475547233979427774198144929044514078810739634212564557839625132400209976192279785244699038162642829011826298524198234232349616418423581149844323556762940073088854469308831954587529425342141554056796235951600808083590625883372673593773461730747719870294901979698806902067155231031501804093505204546392277913826955454233121878821482639587911029620775238166644467057289576563728196997386652386712845127082981551545818117345043768451869240607658716393490377341079537324580561980023756564699067304294383769406555138931586312313084749887275044187487552984475277601281956}
15059   343080761943011913867326193378509483219343704523072453940781574: {120424,135477,1728565,1936677,2074278,2778145,2810797,3077665,3281277,3333774,3693198,3998246,4887669,5080478,5120797,5318965,5661409,5687949,5711780,6382758,6562429,6854136,7154756,7254145,7401409,7699765,7710903,7776734,7941877,7996645,8597732,8696989,8704974,9239718,9580846,9595974,9774565,10186149,10221080,10570357,11109620,11498715,11694145,11729478,11743294,11816749,12100478,12136165,12265296,12281349,12424270,12430645,13008061,13034756,13331544,13798458,14032974,14054054,14550008,14563398,14909124,14916774,14997987,15027949,15100510,15659365,15952717,16368759,16430277,16536565,16606117,16828645,16881070,17266465,17305249,17849665,17911861,18018469,18120612,18264277,18576529,18621080,18791238,19014145,19843878,20030965,20077220,20193181,20194374,20257284,20269677,20421829,20477732,20517315,20719758,20780149,20900965,20948715,21419598,21553574,21684548,21791829,21885136,22345296,22636645,22639604,22802277,22816974,23067229,23069665,23358145,23587189,23763038,24037158,24092664,24305127,24366565,24387608,24425375,24620778,24743917,24782149,24798145,25063149,25081158,25138458,25282141,25716757,25740670,26158189,26242724,26311629,26480161,26533094,26809509,27104247,27163974,27176869,27378301,27436059,27683598,27836389,28029774,28667941,28678609,28855489,28934675,29054557,29094145,29239878,29277061,29285806,29310450,29354209,29379265,29600197,29757774,30252349,30270709,30516069,30596509,30790820,30802465,30888804,31264480,31496277,31654465,31663969,32091157,32182117,32302309,32661975,32920357,33111428,33328909,33636865,33778165,33972134,34252741,34595509,34721610,34839440,34912974,35166406,35172540,35255118,35403070,35752165,35920664,35977429,36089431,36135166,36321229,36585669,36595765,36740269,36948984,36962958,37008037,37036384,37407457,37517376,37544277,37678046,37696334,37858465,37904420,37945909,37985358,38225197,38313176,38499429,38784877,38803928,39194370,39276277,39327589,39766270,39944678,40214372,40364238,40410747,40533798,40606916,40854517,41023454,41070397,41216701,41229709,41335250,41374886,41506510,41567607,41665932,41807328,42156421,42207048,42208654,42270116,42483684,42864517,42876865,42902598,42918589,43102323,43243870,43510717,43654419,43727041,43729729,43731061,43846645,43914918,44111557,44538145,44868577,45007237,45241726,45430158,45485304,45504565,45593828,45644797,45784677,45844510,45877669,45967844,46289894,46306069,46331365,46606645,46739269,46940277,46960664,47019265,47033244,47085157,47302040,47482929,47516126,47625709,47719524,48090477,48221197,48387421,48531620,48832366,48867315,48867829,49602300,49780357,49807812,50046157,50213869,50415277,50543077,51017749,51170967,51223918,51227029,51255709,51300526,51366997,51452238,51556330,51734829,51816709,51887470,51892644,52078645,52125136,52486465,52615974,52830747,52909120,53048389,53198797,53214795,53445774,53536269,53584597,53707765,53728069,53765461,53825780,54384865,54475921,54605478,54655149,54665446,55013412,55196065,55557349,55597638,55927974,56071526,56182270,56194177,56423118,56429461,56762448,56822324,56989515,57082918,57101149,57111829,57667009,57690526,57755365,58009880,58175375,58199277,58237944,58238029,58418949,58506854,58546246,58640778,59106980,59514069,59522760,60025621,60351524,60385880,60496717,60603789,60768734,60788816,60834145,61155061,61312270,61592926,61835918,61867596,62166145,62264964,62422909,62432065,62494374,62537581,62551677,62983758,62984516,63016510,63242077,63490944,63793796,63840549,63857754,63888469,64000419,64421365,64449318,64577534,64590936,64662157,65098695,65134040,65155141,65261115,65261838,65460836,65517687,65646277,65860861,65888077,66076909,66128420,66235278,66307189,66606429,66796645,66963105,67264510,67418724,67425061,67737637,67880180,67934115,68049997,68110645,68372965,68387418,68698189,68726101,69158965,69306438,69415934,69438608,69611856,69752469,69810450,70074145,70168269,70276309,70928376,71005549,71203989,71427312,71494510,71638465,72176677,72185389,72361966,72463056,72664803,73000974,73181470,73210406,73275795,73348957,73574724,73651900,74023870,74075277,74120449,74278749,74464480,74515774,74522318,74523428,74545688,74599374,74735204,74918478,75345956,75437806,75441254,75494581,75619812,75910645,75931438,75975877,76168165,76173572,76190975,76222148,77091541,77115118,77305638,77537437,77791736,77882797,77893179,78003277,78103677,78118434,78160848,78222565,78313338,78622357,78798301,79354104,79673269,79794423,79859461,79958077,80011765,80013284,80085477,80102180,80139265,80155974,80355726,80658109,80717412,80743694,81068277,81264189,81284965,81295395,81339109,81441374,81456216,81520938,81573070,81732774,81918116,81920065,82047558,82096549,82823709,82918246,82990758,83581220,83772540,83863899,83945665,83994718,84088974,84576565,84620795,84795421,84945477,85421606,85534438,85589701,85793412,85932158,85966158,86059969,86124614,86223326,86715088,87358669,87447694,87515703,87652189,87722804,87796677,87817764,87930954,88382280,88676629,88828644,88840165,89214145,89273367,89357376,89514488,89587765,89610349,89783006,89801828,89977880,90529069,90572917,90624061,90834721,91092774,91363429,91401798,91429170,91638243,91780417,92041597,92253620,92257509,92374510,92669907,92729975,93016129,93171189,93180865,93353277,93366014,93374677,93515480,93550645,93867078,93880894,93920065,94029589,94202276,94260477,94266627,94274432,95096677,95097838,95204461,95252869,95298278,95341989,95509117,95708557,95764021,95966115,96014118,96027277,96122616,96160856,96167118,96191329,96785809,96900289,97193557,97228645,97524448,97541958,97554474,97679629,97887684,97943197,98140270,98304078,98305189,98539869,98977047,99165620,99251629,99290534,99415749,99418414,99430065,99590277,99702886,99837975,99983329,...,9388742620811884125755217695716605266532318688091713923609640824129731276700700408786947544274454446834947181636435595990518728975875386752304641226667239480436886132706093866511523330219828063591303907716231748217031257193060434814410053814447687370407217556434659736011563572301972129783328722257633776219099260134561748122225278239570175697170198366187563098122943446619455518462569226559687994027750833282998667324725332629207938001992949746407619197763283120503724766332731953731575575583257801364928053857780182681993166089751715367166882949841769565581625473841471951769388567177191003961950921324875751779360500669625662246535041544458548855694986057853935034722987717745069969938831161784889567008709129328021935460441595671958404454049599205252152606313509366767297256693898477360795874670151549072315996219727879461232711352072327562510810219018359206669014469946029978529362982614096066967500435496623354400263325265712626281920884728235895667098280320676466047793148684856969321053300236329684054638830880956182308390746488813389918682489656521219121119845989276535591219199414849213696177430635554493281145444220281099372689978722256381198749826556870669707022776608021369001664425426226125006860471048893721958778921685895509729771474540380743998140633059920605575536790631504379652582641065293077590130012976657536002398449844861322468431366253540902579715086699448748351595744698708403212425713447303482910251380574905844234973210579325829428940099354243734295401679197240185342369520498842677679519610570697438860827405180545182775136358907819829433221742901558124117151140627170881501897295828535787373139606850172337722030307836061393127324111951687586638685881292945320177283439742352206213679683591800372176852495669606702157391278739044516464087483153646454040043477051431554521927469734664065829468018694360213320850969141661297217393566771118216109451318846836759437698600314964288419677867048557243964243517739447786297351348524424627635371724766485335144410109633281703963247931881294138013212331085194353927401212125385938825059010390660192596121579805442352969548210353100732846547252706140257806819588416870740433181349682818232223959381866544431162857249966700585934364845592295496079978580069267690624472327318727176017565652677803860911488074590235566011619305986870842970035634847048600956441575654109832708397379468469627124830912566281231329476712916401922934}
15060   344631596426777448203336394761019802885408796261157292174770828: {105371,150530,180636,435899,645731,705611,1231394,1540571,1629659,1689011,1955699,2044451,2428211,2575451,2582236,2664482,2693099,2765704,2839979,2869331,3021314,3111417,3199514,3396299,3454691,3542219,3891611,4094891,4152899,4326731,4375036,4445032,4529171,4615811,4924264,4961651,4973594,5000661,5105411,5326682,5539797,5679194,5997369,6163019,6305099,6333491,6418619,6516892,6733274,6814931,7139725,7265939,7322171,7406459,7583932,7602851,7620717,7854779,8078171,8273219,8510344,8567670,8662139,8856011,8943445,9138848,9172634,9242579,9345794,9407771,9490259,9574137,9682451,9928979,10281204,10311179,10501691,10553882,10583219,10732134,10747165,10827371,11412482,11529059,11555939,11606632,11665101,11754914,11931419,12118571,12252011,12267482,12319624,12518291,12571451,12608474,12731257,12776350,12794632,12836771,12889739,12896598,13057461,13443971,13581532,13627994,13759091,13859577,13887025,14177459,14371269,14393961,14463899,14697539,14723459,14810882,14852939,14878811,15147554,15265931,15317411,15331620,15639304,15728099,16034771,16293445,16353728,16375132,16391099,16467251,16488482,16644659,16664430,16998299,17023499,17594217,17614941,17625899,17775392,17850611,17900459,17925371,18150717,18187510,18397944,18636405,18647834,18710632,18718331,18792251,18890699,19149494,19417864,19454291,19527491,19552134,19698011,19878832,19889032,19997316,20134691,20255531,20616851,20697687,21049461,21081081,21334091,21339157,21500411,21642659,21760979,21825012,21845097,21907036,22279211,22363686,22375161,22630331,22650765,22956419,22979651,23054882,23095691,23257811,23276350,23879459,23993939,24160816,24222299,24699251,24744491,24880019,24979874,25015259,25054984,25096525,25150211,25321605,25374491,25575659,25597165,26086811,26241539,26307731,26417891,26458504,26703371,26925832,27009299,27009712,27026236,27074651,27105685,27180918,27356420,27356954,27514274,27616451,27626344,27659579,27681131,27788771,27874739,27931620,28186857,28299505,28366571,28559464,28685051,28706219,28833059,29022779,29055772,29316611,29390882,29701634,29754419,29765817,29793728,29837411,29940971,30085619,30115830,30271019,30291561,30385926,30403036,30422632,30475994,30484510,30619451,30716598,30802979,30864011,30985859,31079637,31168091,31430581,31610819,31830731,31890539,31970171,32013914,32049544,32123552,32129397,32330361,32406836,32484659,32526822,32777474,32803405,32827704,32857211,32974259,33207491,33246251,33417532,33441544,33497411,33517944,33524029,33670499,33688994,33953437,33959406,33991682,34225461,34242779,34299611,34507379,34639091,34745882,34863971,35082172,35196674,35236211,35291771,35421131,35644557,35746012,35751971,35795714,35843411,35945114,36055737,36138996,36218632,36279539,36351779,36387851,36581412,36621539,36889499,36911464,36931167,36978419,37243979,37261619,37283234,37373032,37402451,37431194,37621737,37630211,37707687,38133419,38202299,38408171,38459459,38462882,38488525,38561819,38611005,38986504,39052499,39080600,39169931,39195482,39303659,39320339,39364086,39403619,39677032,39799641,40160411,40192931,40215074,40548539,40688092,40724891,40745961,40788779,40801189,40916171,41027219,41090581,41185072,41200931,41358011,41389285,41389331,41436251,41525397,41545451,41855291,41962979,41995036,42044661,42089882,42100859,42329219,42376154,42495539,42810371,42944219,43089314,43136411,43143841,43231514,43254011,43444019,43549300,43603739,43733699,43834331,43859817,43863011,43928709,43940354,43965675,44005931,44162219,44247059,44261171,44331611,44636661,44639171,44750051,44900830,45011339,45323771,45458291,45609494,45618659,45804299,45905954,46014539,46079819,46186230,46196819,46295480,46333206,46441691,46505651,46550632,46582139,46734251,46885211,46896720,46960259,47006824,47035019,47196011,47294411,47380525,47477531,47802611,47885939,47891470,48016091,48098411,48133571,48504910,48640979,48708971,48780892,48821651,48855299,49022459,49176851,49187819,49209731,49253459,49265312,49283944,49318811,49340531,49345754,49377757,49667142,49831259,49883579,50023168,50059036,50080571,50131931,50142179,50157914,50264531,50267965,50294939,50405819,50415851,50555459,50647144,50696474,50732651,50758645,50887979,50958201,51050771,51098882,51220619,51313859,51332572,51397091,51415499,51606851,51633899,52082415,52082699,52159739,52236131,52259160,52295099,52320251,52336979,52369461,52664819,52688891,52749609,52758810,52831811,52837645,52855379,52882677,52902299,53064251,53104605,53125019,53132579,53155211,53190214,53192771,53237579,53289491,53311619,53341189,53392139,53413931,53486051,53500379,53528939,53634899,53648891,53780219,53818984,53841419,53880996,53881859,53901971,53915339,53975099,54045064,54053771,54118451,54131291,54202749,54393539,54401882,54501611,54519371,54624419,54630179,54743699,54859451,54924011,54929339,54961139,54987419,55008299,55080371,55130891,55185539,55244051,55258499,55310594,55315571,55334339,55348331,55376099,55417211,55423476,55444437,55536659,55554576,55682819,55734611,55743104,55834139,55903451,55966451,55996979,56112611,56154779,56201051,56206691,56209499,56226179,56263979,56276064,56302739,56363339,56374859,56383931,56388419,56403841,56410379,56421059,56463731,56517069,56523659,56538491,56544501,56563259,56576291,56583251,56587331,56596571,56604179,56615051,56618531,56644912,56651171,56662091,56674979,56686739,56688131,56695571,56698091,56699051,56699939,56700851,56856630,56978037,56992285,57203464,57361154,57459805,57469764,57994394,58205892,58553224,58700830,58791555,59127550,59649405,59917017,60321558,60546357,60573544,60647072,60664525,60737882,60758782,60800697,60910374,60983834,61046236,61106594,61535181,61718234,62002875,62062329,62259765,62498898,62587036,62710992,63310572,63312981,63405174,63411674,63626032,63725526,64120636,64353897,64366682,64865805,65156420,65194754,65227477,65872377,65898914,66136400,66410416,66945434,67282225,67291682,67862589,68067769,68145237,68208674,68227956,68390742,68436482,68602984,68766765,68951766,68979772,69003482,69048166,69190192,69434841,69791234,70154632,70440996,70460834,70549866,70682882,70953060,71027905,71235482,71261032,71274189,71381692,71565314,71579286,72512350,72797430,72807304,72873532,73012654,73248549,73351216,73883725,73944482,74130184,74403450,74475482,74570632,74711718,75230824,75439405,75482350,75683264,75735194,75875702,75986020,76769114,76835877,76871714,76950789,77178357,77334495,77599036,77650592,77831205,77838966,77891932,78187704,78325177,78593882,78730645,78923961,79352092,79363680,79742245,80168661,80274434,80738670,80805052,81417550,81531482,81826045,81908217,81998169,82490128,82520118,82660525,83019952,83325832,83396457,83402236,83417882,83562358,83891961,83978344,84107289,84140749,84273405,84634677,84654592,84850225,85120732,85143672,85233486,85246682,85333892,85516034,85624377,85932424,86121248,86535789,86755874,86798260,87014820,87015784,87356916,87760281,87819369,87961167,88308482,88313704,88478114,88660470,88808572,89284140,89566682,89568374,89891632,90527286,90578820,91153101,91183224,91353434,91968405,91985882,92064875,92389389,92408584,92753877,92801394,92815808,93003292,93080600,93146882,93154285,93182110,93397446,93419005,93557692,93677594,93741561,94182445,94423514,94475637,94476774,94497314,94497781,94524765,94571168,94938652,95216965,95236416,95277685,95452654,95690694,95786631,96413486,96617408,96673977,96714709,96866301,96886404,97239670,97334632,97601954,97701060,97892757,98099632,98191254,98334554,98465882,98767036,99038332,99192630,99305474,99352917,99432482,99465832,99747482,99891304,...,14083113931217826188632826543574907899798478032137570885414461236194596915051050613180421316411681670252420772454653393985778093463813080128456961840000859220655329199059140799767284995329742095386955861574347622325546885789590652221615080721671531055610826334651989604017345358452958194674993083386450664328648890201842622183337917359355263545755297549281344647184415169929183277693853839839531991041626249924498000987087998943811907002989424619611428796644924680755587149499097930597363363374886702047392080786670274022989749134627573050750324424762654348372438210762207927654082850765786505942926381987313627669040751004438493369802562316687823283542479086780902552084481576617604954908246742677334350513063693992032903190662393507937606681074398807878228909470264050150945885040847716041193812005227323608473994329591819191849067028108491343766215328527538810003521704919044967794044473921144100451250653244935031600394987898568939422881327092353843500647420481014699071689723027285453981579950354494526081958246321434273462586119733220084878023734484781828681679768983914803386828799122273820544266145953331739921718166330421649059034968083384571798124739835306004560534164912032053502496638139339187510290706573340582938168382528843264594657211810571115997210949589880908363305185947256569478873961597939616385195019464986304003597674767291983702647049380311353869572630049173122527393617048062604818638570170955224365377070862358766352459815868988744143410149031365601443102518795860278013554280748264016519279415856046158291241107770817774162704538361729744149832614352337186175726710940756322252845943742803681059709410275258506583045461754092089690986167927531379958028821939417980265925159613528309320519525387700558265278743504410053236086918108566774696131224730469681060065215577147331782891204601996098744202028041540319981276453712491945826090350156677324164176978270255139156547900472446432629516800572835865946365276609171679446027022786636941453057587149728002716615164449922555944871897821941207019818496627791530891101818188078908237588515585990288894182369708163529454322315529651099269820879059210386710229382625306110649772024524227348335939072799816646744285874950050878901547268388443244119967870103901535936708490978090764026348479016705791367232111885353349017428958980306264455053452270572901434662363481164749062596069202704440687246368849421846994215069374602884401}
15061   346189384964787152655146361010415344624466337116113477639250758: {15061,225795,240848,270954,1847091,2419991,3141479,3227795,3321851,3457130,3873354,3889403,3996723,4148556,4308731,4531971,4799271,5468795,5556290,5621594,6051851,6110291,6155330,6562554,6667548,7386396,7446551,7460391,7911851,7990023,7996492,8146115,8272163,8518791,9479915,9775338,10099911,10155803,10160956,10241594,10637930,10779671,11042471,11195303,11322818,11375898,11423560,12765516,12851505,13124858,13684391,13708272,13758951,14018691,14309512,14508290,14802818,15373163,15399530,15421806,15537371,15553468,15830823,15883754,15993290,16098201,16371803,16795943,16934951,16976915,16990631,17118723,17195464,17393978,17402903,17409948,17632371,18401223,18479436,18853211,18912711,19161692,19164525,19191948,19344897,19549130,19625411,20372298,20441991,20442160,20468915,20762003,20847431,21140714,21168563,21830231,21923111,22216323,22219240,22721331,22729211,22997430,23151191,23388290,23458956,23486588,23560103,23633498,24173051,24200956,24272330,24530592,24562698,24647603,24732723,24848540,24861290,24989531,24996645,26016122,26069512,26619803,26663088,26692391,27281265,27383795,27596916,27971751,28043351,28065948,28108108,28306379,28724241,29100016,29126796,29235623,29242811,29261351,29328201,29604179,29818248,29833548,29995974,30055898,30201020,30392531,31318730,31691303,31905434,32052563,32297531,32508839,32701403,32737518,32860554,33073130,33212234,33545529,33657290,33762140,33782795,33847691,34113191,34195525,34532930,34582323,34600163,34610498,34717403,34914525,34982051,35699330,35823722,36036938,36241224,36319715,36370631,36528554,36614999,37078403,37153058,37242160,37334099,37427003,37469811,37582476,38003795,38028290,38033411,38458631,39232211,39687756,39733403,40061930,40154440,40382651,40386362,40388748,40508545,40514568,40539354,40731803,40771377,40843658,40955464,41034630,41035431,41130971,41271411,41439516,41560298,41771915,41801930,41897430,42722279,42839196,43073831,43107148,43123451,43369096,43583658,43736771,43770272,43852715,44056199,44086323,44316251,44552451,44592923,44682515,44690592,44736371,45173745,45273290,45279208,45578889,45604554,45633191,45633948,45713991,45726765,45969671,46074897,46080263,46134458,46139330,46716290,46742699,47068103,47091611,47171603,47174378,47289431,47526076,48020871,48074316,48185328,48282611,48323651,48610254,48726131,48733130,48775216,48790233,48850750,48874403,49166211,49241556,49487834,49499591,49564298,49596290,50053031,50126298,50162316,50276916,50533491,50564282,50739491,50747783,50860115,50939109,50987523,51234071,51433514,51481340,51682163,51702551,52118823,52316378,52485448,52493795,52623258,52795011,52960322,53001851,53066188,53190371,53619018,53693571,53894279,53917671,53943851,54208494,54327948,54353738,54436625,54541091,54756602,54872118,55367196,55588019,55672778,55767251,55924851,56059548,56121383,56146791,56186411,57133283,57335882,57357218,57694323,57710978,57869350,58109114,58188290,58479756,58554122,58571612,58620900,58708418,58758530,58793223,58831331,59046129,59200394,59275271,59348771,59457479,59515548,59581691,60027611,60322611,60504698,60541418,60706451,60976115,61032138,61193018,61385303,61581640,61604930,61777608,62353403,62507723,62528960,62573795,62992554,63134823,63308930,63327251,63327938,63564231,63706391,63989651,64165319,64165715,64182314,64299203,64364234,64451363,64604618,64633971,64657499,64847271,64863911,65249303,65323950,65826971,65840714,65910531,66222856,66657818,66689363,67273730,67351245,67556330,67746899,67944268,68414241,68505482,68858931,69191018,69279345,69443220,69499809,69537803,69556103,69648599,69678880,69825948,70001003,70285763,70332812,70345080,70510236,70806140,70988711,71504330,71837205,71841328,71954858,71955431,72178862,72270332,72274163,72642458,72757365,72910103,73171338,73191530,73359011,73480538,73481051,73850663,73897968,73925916,74016074,74018631,74072768,74500713,74814914,75034752,75088554,75122951,75190871,75236871,75356092,75392668,75462203,75716930,75808840,75891818,75970716,76044711,76055879,76138811,76307795,76450394,76626352,76648323,76912403,76998858,77274491,77569754,77607856,77835563,77952899,78013991,78233795,78383651,78388740,78552554,78655178,79138215,79359143,79532540,79684163,79785321,79870439,79889356,80053571,80150795,80428744,80728476,80821494,80857511,81067596,81213832,81319751,81445525,81602823,81709034,82019771,82046908,82140794,82408199,82433402,82459418,82670500,82749772,82790051,82965891,83013020,83135214,83331864,83614656,83858471,84312842,84414096,84417308,84540232,84967368,85167803,85284945,85729034,85753730,85805196,85837178,86041731,86204646,86224715,86362403,86487740,86685131,86991591,87021434,87032603,87045479,87264551,87308838,87404891,87454082,87459458,87462122,87693290,87829836,88051245,88223114,88691325,88860503,88931783,89076290,89227115,89737154,90014474,90189911,90482337,90483452,90689699,90860316,90942599,90970608,91009130,91091915,91106823,91138173,91187656,91289594,91365561,91475751,91492439,91569354,91659891,91689020,91755338,91935688,92042711,92053979,92185691,92577351,92579788,92612138,92662730,92917331,93213290,93478538,93515303,93597851,93748347,93880554,93921328,94038530,94066488,94170314,94379363,94604080,94965858,94982525,95032252,95061251,95107761,95117511,95251418,95265683,95354903,95439048,95522339,95588289,95722151,96180954,96442394,96531431,96550023,96774842,96815603,96822551,96998795,97063240,97348691,97364915,97664732,97734630,97735658,97792131,98103803,98260679,98848371,99010259,99190115,99204600,99403571,99560714,99615624,...,18777485241623768251510435391433210533064637376183427847219281648259462553401400817573895088548908893669894363272871191981037457951750773504609282453334478960873772265412187733023046660439656127182607815432463496434062514386120869628820107628895374740814435112869319472023127144603944259566657444515267552438198520269123496244450556479140351394340396732375126196245886893238911036925138453119375988055501666565997334649450665258415876003985899492815238395526566241007449532665463907463151151166515602729856107715560365363986332179503430734333765899683539131163250947682943903538777134354382007923901842649751503558721001339251324493070083088917097711389972115707870069445975435490139939877662323569779134017418258656043870920883191343916808908099198410504305212627018733534594513387796954721591749340303098144631992439455758922465422704144655125021620438036718413338028939892059957058725965228192133935000870993246708800526650531425252563841769456471791334196560641352932095586297369713938642106600472659368109277661761912364616781492977626779837364979313042438242239691978553071182438398829698427392354861271108986562290888440562198745379957444512762397499653113741339414045553216042738003328850852452250013720942097787443917557843371791019459542949080761487996281266119841211151073581263008759305165282130586155180260025953315072004796899689722644936862732507081805159430173398897496703191489397416806424851426894606965820502761149811688469946421158651658857880198708487468590803358394480370684739040997685355359039221141394877721654810361090365550272717815639658866443485803116248234302281254341763003794591657071574746279213700344675444060615672122786254648223903375173277371762585890640354566879484704412427359367183600744353704991339213404314782557478089032928174966307292908080086954102863109043854939469328131658936037388720426641701938283322594434787133542236432218902637693673518875397200629928576839355734097114487928487035478895572594702697048849255270743449532970670288820219266563407926495863762588276026424662170388707854802424250771877650118020781320385192243159610884705939096420706201465693094505412280515613639176833741480866362699365636464447918763733088862325714499933401171868729691184590992159957160138535381248944654637454352035131305355607721822976149180471132023238611973741685940071269694097201912883151308219665416794758936939254249661825132562462658953425832803845868}
15062   347754158489208356757319546459786860321080573614737846248293850: {210742,301060,361272,406431,465961,871798,1183657,1291462,1411222,2074297,2462788,2869717,3081142,3133561,3259318,3378022,3571861,3911398,4088902,4182457,4856422,4875961,5134837,5150902,5164472,5185695,5328964,5386198,5531408,5564857,5679958,5738662,5810031,5993077,6042628,6222834,6334357,6399028,6792598,6909382,7084438,7266937,7783222,8189782,8305798,8334435,8432391,8653462,8691061,8750072,8857237,8890064,9058342,9105961,9231622,9232995,9271417,9519061,9683797,9843831,9848528,9923302,9947188,9995615,10001322,10210822,10584697,10653364,10991317,11079594,11358388,11557561,11994738,12326038,12520823,12610198,12666982,12701195,12837238,12997417,13033784,13466548,13629862,13944361,14279450,14491957,14531878,14644342,14663007,14725561,14812918,14880937,15046031,15167864,15205702,15241434,15362391,15709558,15730357,15956895,16156342,16546438,16984227,17020688,17025961,17063847,17135340,17324278,17712022,17886890,17927977,18277696,18345268,18485158,18691588,18815542,18893461,18980518,19148274,19364902,19441835,19481557,19687287,19857958,19992361,20562408,20622358,20931637,21003382,21107764,21166438,21464268,21494330,21654742,21762435,21787861,22204227,22282537,22810823,22824964,22983097,23058118,23099295,23111878,23132709,23213264,23330202,23330677,23509828,23825631,23862838,23952115,23989935,24237142,24504022,24534964,24639248,24770857,25036582,25142902,25216948,25462514,25552700,25589264,25673542,25779478,25793196,26090967,26112937,26114922,26443957,26707477,26887942,27035257,27100597,27163064,27255988,27518182,27685417,27719154,27774050,28354918,28519861,28710697,28742538,28787922,28927798,29153461,29323695,29358235,29395078,29446918,29621764,29705878,29757622,29779861,30251195,30295108,30531862,30558447,30634822,30663240,31060675,31132597,31278608,31456198,31615861,31711071,31915561,32069542,32586890,32707456,32750264,32782198,32934502,32976964,33096361,33212857,33270997,33289318,33328860,33560617,33996598,34046998,34496145,34813561,35082435,35135135,35188434,35229882,35251798,35450247,35550784,35701222,35757877,35800918,35836031,35850742,36301434,36357817,36375020,36408495,36795888,36844047,37161877,37267861,37272810,37291935,37295668,37421264,37436662,37584502,37751275,37781398,37947959,38208757,38298988,38835728,38908582,38975017,39024183,39054982,39075961,39104268,39176617,39327061,39396022,39426997,39619307,39757664,39778064,39994632,40216117,40269382,40511062,40555561,40939177,41034361,41233702,41395374,41792311,42098922,42108277,42162162,42202675,42291157,42668182,42678314,42966697,43000822,43285318,43451797,43521958,43650024,43690194,43755961,43814072,43842217,44269177,44558422,44727372,44750322,44993961,45083847,45260662,45301530,45305077,45345577,45627061,45825961,45912838,45924767,45959302,46101397,46109764,46191382,46515622,46527097,46552700,46978095,47056297,47739043,47758918,47823637,47858151,47895061,47987878,48142777,48219587,48321632,48444598,48490537,48864757,49031977,49106277,49197397,49290831,49398502,49488982,49609695,49760038,49809577,49818351,49959748,50030518,50059561,50109968,50152117,50193050,50274517,50300422,50425897,50485935,50643210,50748982,50869237,51151318,51184057,51194330,51435157,51653461,51799395,51840697,51915747,52173622,52230037,52255417,52305961,52356217,52381237,52483078,52615462,52835782,52917008,53075497,53143861,53211577,53406742,53519017,53548995,53646457,53735583,53791861,53851664,53883935,53993461,54018598,54019424,54052472,54055407,54149302,54211370,54225877,54361836,54642361,54712840,54713908,54727861,54761557,54792831,54941737,55028548,55203061,55232902,55252688,55304617,55319158,55362262,55374997,55483861,55577542,55613461,55729587,55749478,55863240,55884217,55979797,56040277,56079157,56171317,56223157,56239861,56280361,56296057,56373714,56391061,56502517,56554357,56599010,56666677,56671861,56696917,56710777,56714197,56733142,57042435,57118928,57370102,57412438,57666118,57944999,58045558,58111544,58355531,58633222,58781764,59403268,59407595,59508838,59531634,59587456,59616623,59674822,59881942,60092895,60171238,60231660,60542038,60579543,60583122,60771852,60806072,60809031,60845264,60951988,60969020,61238902,61265487,61433196,61551945,61605958,61728022,61971718,62159274,62336182,62340447,62702895,62846145,62861162,63039587,63221638,63661462,63781078,63940342,64027828,64099088,64247104,64258794,64351675,64660722,64813672,64969318,65053644,65375487,65554948,65606810,65655408,65714422,65948518,66332735,66414982,66492502,66835064,66883088,66994822,67035888,67048058,67340998,67377988,67906874,67909935,67918812,67983364,68406831,68450922,68485558,68599222,69014758,69201687,69208995,69278182,69491764,69727942,70074435,70164344,70375151,70393348,70472422,70583542,70761567,70842262,71062103,71289114,71492024,71503942,71591428,71686822,71890228,72111474,72277992,72437264,72559078,72703558,72775702,72915381,73099695,73162824,73214515,73243078,73276125,73778998,73822928,73862334,73956838,73972703,74231751,74346447,74394435,74487958,74523238,74566468,74746064,74804902,74862388,75189447,75243474,75260422,75415374,75846423,76266838,76404598,76816342,76918918,76925764,76977050,77123638,77150271,77222010,77973008,78104998,78161200,78339862,78390964,78474567,78607318,78640678,78728172,78807238,78934887,79354064,79440483,79599282,79789199,80320822,80385862,80428527,80430148,80443727,81097078,81312741,81376184,81449782,81491922,81530607,81577558,81602378,81832342,82054438,82134903,82181162,82308177,82370144,82401862,82716022,82778570,82778662,82872502,83050794,83090902,83509167,83710582,83925958,83990072,84089322,84179764,84201718,84658438,84752308,84930335,84991078,85620742,85888438,86003823,86035827,86178628,86272822,86287682,86463028,86508022,86566467,86804025,86888038,87098600,87163671,87207478,87282435,87467398,87668662,87719634,87726022,87831183,87857418,87880708,87916015,87931350,88011862,88062627,88137795,88324438,88494118,88507675,88522342,88663222,88800591,89273322,89278342,89500102,89801660,90022678,90337915,90647542,90757047,90812127,90916582,91218988,91237318,91548207,91608598,91789527,91811908,92029078,92159638,92372460,92393638,92407395,92590960,92666412,92883382,93011302,93101264,93164278,93468502,93770422,93793440,93920518,94013648,94070038,94195115,94240835,94392022,94488831,94588822,94761050,94955062,94963395,94991907,95605222,95771878,95782940,96032182,96196822,96267142,96273471,96546351,96906927,97009820,97281958,97417942,97561784,97643302,97710598,97985925,98044918,98353702,98375638,98419462,98506918,98530624,98567888,98637622,98681062,98691508,98755514,98761071,99334284,99415675,99439067,99662518,99767158,99861695,99986727,...,28166227862435652377265653087149815799596956064275141770828922472389193830102101226360842632823363340504841544909306787971556186927626160256913923680001718441310658398118281599534569990659484190773911723148695244651093771579181304443230161443343062111221652669303979208034690716905916389349986166772901328657297780403685244366675834718710527091510595098562689294368830339858366555387707679679063982083252499848996001974175997887623814005978849239222857593289849361511174298998195861194726726749773404094784161573340548045979498269255146101500648849525308696744876421524415855308165701531573011885852763974627255338081502008876986739605124633375646567084958173561805104168963153235209909816493485354668701026127387984065806381324787015875213362148797615756457818940528100301891770081695432082387624010454647216947988659183638383698134056216982687532430657055077620007043409838089935588088947842288200902501306489870063200789975797137878845762654184707687001294840962029398143379446054570907963159900708989052163916492642868546925172239466440169756047468969563657363359537967829606773657598244547641088532291906663479843436332660843298118069936166769143596249479670612009121068329824064107004993276278678375020581413146681165876336765057686529189314423621142231994421899179761816726610371894513138957747923195879232770390038929972608007195349534583967405294098760622707739145260098346245054787234096125209637277140341910448730754141724717532704919631737977488286820298062731202886205037591720556027108561496528033038558831712092316582482215541635548325409076723459488299665228704674372351453421881512644505691887485607362119418820550517013166090923508184179381972335855062759916057643878835960531850319227056618641039050775401116530557487008820106472173836217133549392262449460939362120130431154294663565782409203992197488404056083080639962552907424983891652180700313354648328353956540510278313095800944892865259033601145671731892730553218343358892054045573273882906115174299456005433230328899845111889743795643882414039636993255583061782203636376157816475177031171980577788364739416327058908644631059302198539641758118420773420458765250612221299544049048454696671878145599633293488571749900101757803094536776886488239935740207803071873416981956181528052696958033411582734464223770706698034857917960612528910106904541145802869324726962329498125192138405408881374492737698843693988430138749205768802}
15063   349325948068691395374376595382689375813050296242477983364504910: {30122,316113,376325,451590,481696,541908,1307697,1937193,2116833,3078485,3694182,3712657,4518913,4621713,4839982,4888977,5067033,5867097,6133353,6282958,6455590,6643702,6661205,6914260,7221253,7284633,7403381,7553285,7656313,7726353,7746708,7778806,7943993,7993446,7998785,8079297,8297112,8519937,8607993,8617462,8842657,9063942,9334251,9598542,10188897,10364073,10626657,10937590,11112580,11243188,11404561,11674833,12103702,12220582,12284673,12310660,12433985,12458697,12980193,13050193,13125108,13271881,13316705,13335096,13587513,13666697,13847433,14197985,14772792,14884953,14893102,14920782,15001983,15316233,15823702,15980046,15992984,16292230,16544326,16610561,16619391,16833185,17037582,17365297,17992107,18489057,18569177,18915297,18959830,19000473,19255857,19550676,20014033,20199822,20311606,20321912,20444793,20483188,21275860,21419175,21559342,21797817,21966513,22084942,22219377,22390606,22629941,22645636,22751796,22808553,22847120,22862151,22931585,23364485,23564337,23767681,23837953,24234513,24444377,24637873,24819657,25531032,25703010,25986417,26249716,26384705,26568033,26830335,27174041,27368782,27416544,27517902,27547321,27727737,28037382,28223313,28314737,28470777,28531205,28552913,28619024,28656481,28722411,29016580,29047353,29387285,29605636,29786937,30604697,30668705,30746326,30799060,30843612,30933537,31074742,31106936,31505073,31521185,31545553,31661646,31749657,31767508,31940875,31986580,32196402,32241495,32482113,32527637,32743606,33066521,33591886,33869902,33953830,33981262,34069985,34237446,34390928,34587177,34667817,34703297,34787956,34805806,34819896,34986757,34995303,35264742,35794257,35987057,36355713,36756033,36802446,36958872,37027205,37554873,37706422,37714353,37734101,37825422,37868885,38193771,38323384,38329050,38337313,38383896,38419537,38510313,38669217,38689794,38943377,39098260,39172383,39250822,40331913,40744596,40883982,40884320,40937830,41221205,41277273,41475761,41524006,41578731,41661075,41694862,42014213,42241481,42281428,42337126,42532377,42983473,43113807,43181883,43391697,43522361,43660462,43690081,43742897,43846222,44092617,44122117,44170377,44407921,44432646,44438480,44558817,44636433,45240281,45442662,45458422,45468775,45657161,45797793,45952233,45994860,46302382,46619585,46751777,46776580,46917912,46918633,46973176,47120206,47184297,47266996,47295913,47568257,47668297,47873735,48104313,48346102,48401912,48544660,48880335,49061184,49125396,49173297,49295206,49401753,49465446,49697080,49722580,49933977,49979062,49993290,50424817,50428961,50837417,50847601,50994897,51031457,51070497,52032244,52066417,52139024,52782651,52844823,52877697,53205313,53239606,53326176,53384782,53551833,53580181,53701377,53776113,54327793,54452151,54458617,54562530,54767590,55193832,55909215,55943502,56086702,56131896,56154993,56215457,56216216,56376753,56612758,56672097,56711963,56871553,57076217,57448482,57637205,58190875,58200032,58253592,58362873,58471246,58480681,58485622,58522702,58582473,58656402,58674293,59094033,59155793,59185781,59208358,59636496,59667096,59964853,59991948,60111796,60402040,60404073,60766593,60785062,61393801,61800497,61850553,62093061,62243833,62449685,62555521,62637460,62796577,63148383,63243243,63382606,63810868,64002273,64017471,64105126,64457653,64501233,64595062,64927977,65017678,65282937,65402806,65475036,65535291,65721108,66094793,66146260,66424468,66478837,66837633,67016281,67091058,67125483,67253633,67314580,67443497,67524280,67565590,67695382,67890993,67952295,68226382,68391050,68392385,68785685,68869257,68938953,69065860,69164646,69200326,69220996,69287073,69318161,69434806,69773433,69829050,69964102,70052593,71204161,71398660,71638377,71647444,71913937,71981817,72000881,72073876,72482448,72639430,72666897,72741262,72988393,73057108,73229998,73477205,73484693,73491313,73990961,74097753,74156806,74233473,74254085,74306116,74484320,74640057,74668198,74854006,74939622,75045777,75133057,75164952,75289575,75450633,75624133,75964815,76007590,76056580,76066822,76123473,76189985,76211275,76563841,76726977,76791495,76917262,77338673,77718721,78260433,78464422,78643961,78724617,78923193,79253673,79375512,79466806,79979561,80034785,80064517,80110113,80123860,80308880,80499617,80765302,80772724,80777496,81017090,81027897,81029136,81078708,81223953,81317055,81426257,81463606,81542754,81687316,81910928,81943685,82069260,82070862,82215377,82261942,82542822,82849353,82879032,82978737,83043393,83120596,83328961,83366313,83543830,83603860,83624217,83794860,84222485,84560571,84898515,84979205,85099713,85366561,85444558,85678392,85960921,86055153,86118657,86147662,86214296,86246902,86374021,86499177,86697013,86709401,86738192,86864705,87068337,87167316,87382313,87473542,87540544,87603313,87605257,87705430,87949833,87991685,88112398,88172646,88632502,89104902,89185846,89218133,89263257,89297451,89365030,89381184,89472742,89489285,89512233,89730377,89822913,89832001,89862785,90256857,90347490,90546580,90558416,90813057,90874683,91157778,91209108,91266382,91267896,91388177,91427982,91453530,91858353,91939342,92149794,92160526,92198353,92268916,92278660,92408937,92530057,92592033,92957577,93208085,93238911,93432580,93485398,93504273,93577985,94044761,94136206,94183222,94291743,94343206,94348756,94392337,94578862,94832457,95052152,95387417,95492193,95671617,95805881,95910513,96041742,96148632,96157205,96370656,96388191,96544417,96565222,96647302,96926741,96944161,96991083,97220508,97452262,97453977,97466260,97550432,97580466,97701500,97748806,97988705,98332422,98410215,98483112,98571633,98922777,98975668,98999182,99128596,99192580,99278297,99380033,99622473,99738753,...,42249341793653478565898479630724723699395434096412712656243383708583790745153151839541263949235045010757262317363960181957334280391439240385370885520002577661965987597177422399301854985989226286160867584723042866976640657368771956664845242165014593166832479003955968812052036075358874584024979250159351992985946670605527866550013752078065790637265892647844033941553245509787549833081561519518595973124878749773494002961263996831435721008968273858834286389934774042266761448497293791792090090124660106142176242360010822068969247403882719152250973274287963045117314632286623782962248552297359517828779145961940883007122253013315480109407686950063469850627437260342707656253444729852814864724740228032003051539191081976098709571987180523812820043223196423634686728410792150452837655122543148123581436015681970825421982988775457575547201084325474031298645985582616430010565114757134903382133421763432301353751959734805094801184963695706818268643981277061530501942261443044097215069169081856361944739851063483578245874738964302820387758359199660254634071203454345486045039306951744410160486397366821461632798437859995219765154498991264947177104904250153715394374219505918013681602494736096160507489914418017562530872119720021748814505147586529793783971635431713347991632848769642725089915557841769708436621884793818849155585058394958912010793024301875951107941148140934061608717890147519367582180851144187814455915710512865673096131212587076299057379447606966232430230447094096804329307556387580834040662842244792049557838247568138474873723323312453322488113615085189232449497843057011558527180132822268966758537831228411043179128230825775519749136385262276269072958503782594139874086465818253940797775478840584927961558576163101674795836230513230159708260754325700324088393674191409043180195646731441995348673613805988296232606084124620959943829361137475837478271050470031972492530934810765417469643701417339297888550401718507597839095829827515038338081068359910824359172761449184008149845493349767667834615693465823621059455489883374592673305454564236724712765546757970866682547109124490588362966946588953297809462637177631160130688147875918331949316073572682045007817218399449940232857624850152636704641805165329732359903610311704607810125472934272292079045437050117374101696335656060047052286876940918793365160356811718704303987090443494247187788207608113322061739106548265540982645208123808653203}
15064   350904784908966972964357018740292055354882910934545575456584382: {45183,165583,421484,602120,677385,705799,722544,812862,931922,1600399,1689463,1743596,2367314,2487799,2576143,2582924,2822444,2928799,3455623,3718063,4148594,4154023,4327903,4588183,4674799,4925576,5106799,5541273,5739434,6162284,6267122,6306823,6477103,6518636,6756044,7143722,7259973,7324183,7576903,7822796,8177804,8364914,8642825,8913799,9245143,9410383,9424437,9683385,9712844,9739999,9751922,9965553,10269674,10301804,10328944,10371390,10640503,10657928,10772396,10884583,11062816,11129714,11359916,11477324,11620062,11668209,11693503,11986154,11990169,12085256,12175399,12445668,12574999,12668714,12798056,12893383,12926193,13585196,13595913,13762999,13818764,13841623,13890725,13993861,14053985,14168876,14233663,14397813,14468023,14533874,15321799,15388325,15566444,16013863,16166863,16379564,16395823,16406385,16471999,16611596,16668870,16864782,16927543,17306924,17382122,17500144,17681023,17714474,17780128,17781673,17905663,17980399,18116684,18155553,18211922,18330873,18463244,18465990,18542834,18723799,18797743,19038122,19367594,19687662,19697056,19752463,19846604,19894376,19991230,20002644,20006261,20188999,20421644,20478583,21169394,21306728,21554263,21625399,21696463,21982634,22159188,22332799,22339653,22381173,22683799,22716776,23102623,23115122,23735553,23970069,23989476,24138343,24411799,24438345,24652076,24751999,24816489,25022863,25041646,25157863,25220396,25333964,25402390,25556373,25603985,25674476,25994834,26067568,26425999,26594825,26821063,26933096,27017623,27218569,27259724,27343783,27668143,27797383,27888722,28307045,28439745,28558900,28757503,28983914,29063756,29073943,29288684,29326014,29451122,29625836,29761874,29888263,30092062,30299733,30321703,30335728,30411404,30467409,30482868,30506383,30567799,30629143,30724782,31419116,31460714,31913790,32312684,32317543,32339013,32812145,33023863,33092876,33127413,33256999,33532961,33585909,33777343,33968454,34041376,34051922,34127694,34270680,34348663,34648556,34687999,34912783,35303383,35424044,35773780,35800399,35855263,35855954,36270725,36399943,36555392,36690536,36937423,36970316,37007045,37383176,37414999,37631084,37677799,37786922,37961036,38296548,38404063,38455399,38498825,38554515,38729804,38883670,38963114,39216799,39374574,39709385,39715399,39715916,39983225,39984722,40206799,41053173,41101529,41120623,41124816,41215303,41244716,41276853,41403799,41823703,41863274,42006764,42056073,42215528,42332876,42351673,42825583,42928536,42959503,42988660,43181263,43309484,43484945,43524870,43575722,43878799,44305399,44408454,44565074,44890543,45136999,45621646,45649928,45701983,45741799,45966194,46116236,46119489,46175023,46198590,46223756,46265418,46426528,46612113,46660404,46661354,46751743,46902799,47019656,47238463,47275399,47312263,47492469,47651262,47725676,47904230,47979870,48294603,48349999,48474284,48557143,48829303,48872825,48896623,48997063,49008044,49069928,49115409,49189189,49228903,49278496,49359799,49390913,49541714,49650103,49965823,50073164,50182543,50285804,50335183,50387829,50433896,50804853,50925028,50930745,50971893,51105400,51178528,51347084,51356169,51436423,51558956,51573583,51586392,51627943,51735799,52129999,52181934,52208709,52225874,52229844,52358743,52507999,52680617,52727023,52851785,52887914,52893343,52897113,52963543,53192863,53349103,53355401,53414954,53523343,53672023,53755399,53775884,53878303,53938783,54070514,54077383,54154999,54201194,54326128,54511976,54543583,54683263,54717463,54768223,54948799,54964783,55036364,55105399,55203669,55240183,55254799,55269343,55370834,55438308,55548100,55647343,55708903,55768663,55792063,56040463,56181943,56233999,56242423,56352799,56388799,56416303,56418869,56422999,56429623,56559633,56566999,56611999,56627983,56649799,56680399,56709836,56725399,56728423,56728999,56730799,56730943,56738133,57039722,57421394,57485076,57493575,57575844,57855596,58034691,58306922,58470725,58647390,58716470,58790156,58876233,58893836,59083745,59243528,59411756,59515244,59559722,60502390,60590216,60680825,61063724,61116894,61269644,61325973,61326480,61406745,62121350,62153225,62265194,62286009,62542293,62557216,62912396,63231722,63422142,63505689,63831122,64139084,64570913,65040305,65173780,65414912,65490693,65500528,65564396,65769333,65869004,65953928,66192722,66425714,66541994,66578636,66648969,66657720,67121234,67993196,68093996,68163993,68187633,68992290,69453573,69627122,70164870,70270270,70376868,70456009,70459764,70503596,70680309,70900494,71101568,71402444,71515754,71601836,71672062,71701484,72519153,72602868,72715634,72750040,72816990,73591776,73688094,73758869,73942809,74198169,74323754,74535722,74545620,74583870,74591336,74842528,74873324,74968593,74989935,75139745,75169004,75437509,75502550,75562796,75895918,76417514,76597976,77671456,77817164,77950034,78048366,78109964,78151922,78208536,78296825,78353234,78654122,78792044,78853994,79238614,79515328,79556128,79763585,79859409,79989264,80077173,80432234,80538764,81022124,81111122,81843795,81878354,82068722,82151385,82467404,82682825,82790748,83030585,83170633,83584622,83915253,84130053,84143225,84197844,84216554,84324324,84405350,84582314,84919137,85336364,85356628,85933394,86001644,86172723,86332325,86526245,86570636,86903594,87043916,87300048,87380388,87511922,87628144,87684434,87706869,87728433,87784053,87984603,88538354,88812537,89116844,89248325,89454744,89500644,89559305,89987922,90092345,90167694,90521324,90603060,90610154,90691154,91177593,91254122,91321385,91651922,91825676,91849534,91918604,92202794,92219528,92382764,92865829,92882645,93031244,93054194,93105400,93956190,94112594,95070725,95073909,95478086,95517836,95647274,95716302,95790122,95975756,96157689,96285554,96439174,96643264,96889196,96892593,96981074,97526517,97729514,98063954,98104209,98212554,98394794,98581662,98797004,98977964,99219390,99520076,99619154,99636702,99919496,...,56332455724871304754531306174299631599193912128550283541657844944778387660204202452721685265646726681009683089818613575943112373855252320513827847360003436882621316796236563199069139981318968381547823446297390489302187543158362608886460322886686124222443305338607958416069381433811832778699972333545802657314595560807370488733351669437421054183021190197125378588737660679716733110775415359358127964166504999697992003948351995775247628011957698478445715186579698723022348597996391722389453453499546808189568323146681096091958996538510292203001297699050617393489752843048831710616331403063146023771705527949254510676163004017753973479210249266751293134169916347123610208337926306470419819632986970709337402052254775968131612762649574031750426724297595231512915637881056200603783540163390864164775248020909294433895977318367276767396268112433965375064861314110155240014086819676179871176177895684576401805002612979740126401579951594275757691525308369415374002589681924058796286758892109141815926319801417978104327832985285737093850344478932880339512094937939127314726719075935659213547315196489095282177064583813326959686872665321686596236139872333538287192498959341224018242136659648128214009986552557356750041162826293362331752673530115373058378628847242284463988843798359523633453220743789026277915495846391758465540780077859945216014390699069167934810588197521245415478290520196692490109574468192250419274554280683820897461508283449435065409839263475954976573640596125462405772410075183441112054217122993056066077117663424184633164964431083271096650818153446918976599330457409348744702906843763025289011383774971214724238837641101034026332181847016368358763944671710125519832115287757671921063700638454113237282078101550802233061114974017640212944347672434267098784524898921878724240260862308589327131564818407984394976808112166161279925105814849967783304361400626709296656707913081020556626191601889785730518067202291343463785461106436686717784108091146547765812230348598912010866460657799690223779487591287764828079273986511166123564407272752315632950354062343961155576729478832654117817289262118604397079283516236841546840917530501224442599088098096909393343756291199266586977143499800203515606189073553772976479871480415606143746833963912363056105393916066823165468928447541413396069715835921225057820213809082291605738649453924658996250384276810817762748985475397687387976860277498411537604}
15065   352490700353446121358844835621340827245120119124867777661617579: {60244,526855,632226,752650,903180,963392,1083816,1219293,1397883,2179495,2615394,3228655,3528055,3550971,3802843,3874386,4233666,4309879,4343959,6111919,6156970,6222891,6770863,7388364,7425314,7702855,7913959,8148295,8274367,8445055,8609151,9037826,9243426,9325687,9400683,9679964,9777954,9778495,10013671,10134066,10222255,10574599,10715583,11198299,11701723,11734194,12141055,12266706,12547371,12565916,12877255,12911180,13287404,13322410,13465495,13828520,14199895,14346655,14442506,14569266,14627883,14806762,15106570,15312626,15404511,15452706,15493416,15557085,15557612,15887986,15959119,15986892,15997570,16151551,16158594,16594224,16694571,16939483,16981495,17039874,17215986,17234924,17273455,17407579,17430093,17592619,17685314,17711095,17979231,18127884,18643387,18668502,19003071,19197084,19458055,19630663,19877179,20103367,20331931,20377794,20474455,20728146,20764495,21253314,21504043,21633655,21800811,21875180,21945391,22225160,22486376,22645855,22809122,23028871,23079055,23349666,23566459,24207404,24441164,24569346,24621320,24654199,24808255,24867970,24917394,25003305,25132951,25186423,25292287,25297173,25527055,25663999,25727119,25960386,26073183,26100386,26250216,26543762,26571711,26633410,26670192,26699563,27175026,27317883,27333394,27347419,27681967,27694866,27698985,27814251,28395970,28557183,29051391,29084767,29531493,29545584,29769906,29786204,29841564,29986845,30003966,30370987,30632466,30815095,31525495,31647404,31667455,31754091,31960092,31985968,32093095,32104219,32584460,32677327,32710279,32973951,33088652,33221122,33238782,33462871,33666370,34074655,34075164,34114351,34266487,34450603,34672683,34730594,35390491,35698625,35984214,36329695,36380443,36610855,36938587,36978114,37023019,37032295,37138354,37562469,37830594,37919660,37986223,38000946,38014255,38103585,38240599,38468923,38511714,38578207,38800471,38992251,39101352,39269263,39273895,39292039,39744079,39943687,40028066,40390855,40399644,40623212,40643824,40889586,40966376,41086879,41142199,41366095,41831119,41833083,42023407,42173407,42551720,42838350,42881719,42936187,43118684,43310695,43475871,43595634,43933026,43989021,44068123,44129659,44169884,44176683,44280055,44438754,44642811,44717225,44748343,44781212,45138093,45246367,45259882,45291272,45503592,45617106,45645403,45694240,45724302,45745759,45863170,45982123,46023991,46087173,46212895,46324687,46728970,47038855,47080699,47128674,47191071,47211067,47451295,47535362,47675906,47697979,47870685,48336583,48412255,48469026,48888754,48902671,49194127,49275746,49639314,49644895,49735999,49800619,49878139,50562667,50753263,50952681,51062064,51077883,51191541,51387919,51406020,51555895,51696151,51716443,51838087,51972834,52030507,52499432,52508455,52769410,52916095,53016439,53136066,53317291,53606443,53660670,53735825,53783931,53958463,54136855,54348082,54555919,54737564,54833088,55035804,55094642,55455474,55468507,55781371,56074764,56217031,56446626,56629474,56680383,56941554,57062410,57105826,57194239,57238048,57312962,57444822,57645295,57709687,57779695,57798991,58033160,58094706,58325505,58444671,58774570,59053867,59061861,59163751,59211272,59573874,59597863,59657095,59977083,60049807,60592855,61209394,61260055,61337410,61492652,61598120,61687224,61796143,61867074,62149484,62213872,62448007,62591455,62794911,62857255,63010146,63042370,63091106,63138799,63267559,63323292,63499314,63535016,63656285,63881750,63973160,64007119,64183855,64326727,64392804,64448695,64482990,64634383,64964226,65055274,65240443,65267419,65287305,65363583,65487212,65577151,65672671,66133042,66612681,66847611,67023229,67183772,67219855,67453711,67584367,67739804,67744087,67765423,67907660,67936411,67962524,68139970,68432469,68474892,68781856,68795455,68949291,69174354,69297885,69335634,69398127,69406594,69435125,69556639,69575912,69611612,69639792,69639823,69973514,69990606,69992031,70391791,70529484,70541959,70887295,71476893,71588514,71856345,71969805,71974114,71974843,72010567,72205759,72319495,72711426,73036951,73077931,73487695,73512066,73604892,73617295,73870651,73917744,74001103,74054410,74264695,74311963,74312571,74394055,75109746,75226843,75412844,75428706,75468202,75482479,75650844,75737770,76329655,76387542,76587055,76646768,76658100,76674626,76767792,76839074,76933279,76966459,77020626,77338434,77379588,77568679,77886754,77914519,78020071,78196520,78272901,78338811,78344766,78501644,78640495,78654763,79331871,79385359,79705951,80122431,80173855,80510683,80663826,80692087,81105771,81301791,81467225,81489192,81767964,81768640,81875660,81921463,81955495,82027927,82129951,82336255,82442410,82554546,82812559,82951522,83048012,83056251,83076271,83157462,83223295,83288623,83322150,83389724,83620279,83881003,84028426,84482962,84562856,84674252,84991495,85064754,85117495,85559583,85966946,86132091,86227614,86363766,86783394,87044722,87209167,87320924,87380162,87429559,87443863,87460383,87485794,87692444,87885403,87971085,88074705,88129495,88185234,88244234,88340754,88815842,88865292,88876960,88884379,89117634,89253055,89272866,89339583,89398171,89502295,89626855,90480562,90753585,90885324,90916844,90937550,91314322,91595586,91659259,91675341,91904466,91989720,92067643,92604764,92942863,93182025,93239170,93397791,93503554,93553160,93591655,93835824,93837266,93946352,93961255,94240412,94329103,94368594,94453495,94512367,94533992,94591826,94847583,95133213,95135911,95136514,95336594,95698879,95746683,95747470,95749339,95795671,95802607,96066331,96208626,96231031,96299959,96462619,96692204,96803824,96910507,97089320,97204507,97232719,97271455,97637455,97760670,97983919,98122368,98250792,98346594,98490055,98590412,98803506,98930892,99289083,99394160,99445160,99638571,99812991,99867954,99958124,99986580,...,84498683587306957131796959261449447398790868192825425312486767417167581490306303679082527898470090021514524634727920363914668560782878480770741771040005155323931975194354844798603709971978452572321735169446085733953281314737543913329690484330029186333664958007911937624104072150717749168049958500318703985971893341211055733100027504156131581274531785295688067883106491019575099666163123039037191946249757499546988005922527993662871442017936547717668572779869548084533522896994587583584180180249320212284352484720021644137938494807765438304501946548575926090234629264573247565924497104594719035657558291923881766014244506026630960218815373900126939701254874520685415312506889459705629729449480456064006103078382163952197419143974361047625640086446392847269373456821584300905675310245086296247162872031363941650843965977550915151094402168650948062597291971165232860021130229514269806764266843526864602707503919469610189602369927391413636537287962554123061003884522886088194430138338163712723889479702126967156491749477928605640775516718399320509268142406908690972090078613903488820320972794733642923265596875719990439530308997982529894354209808500307430788748439011836027363204989472192321014979828836035125061744239440043497629010295173059587567943270863426695983265697539285450179831115683539416873243769587637698311170116789917824021586048603751902215882296281868123217435780295038735164361702288375628911831421025731346192262425174152598114758895213932464860460894188193608658615112775161668081325684489584099115676495136276949747446646624906644976227230170378464898995686114023117054360265644537933517075662456822086358256461651551039498272770524552538145917007565188279748172931636507881595550957681169855923117152326203349591672461026460319416521508651400648176787348382818086360391293462883990697347227611976592465212168249241919887658722274951674956542100940063944985061869621530834939287402834678595777100803437015195678191659655030076676162136719821648718345522898368016299690986699535335669231386931647242118910979766749185346610909128473449425531093515941733365094218248981176725933893177906595618925274355262320261376295751836663898632147145364090015634436798899880465715249700305273409283610330659464719807220623409215620250945868544584158090874100234748203392671312120094104573753881837586730320713623437408607974180886988494375576415216226644123478213096531081965290416247617306406}
15066   354083725883822762228727361096070272181428619378591263978753048: {75305,90366,195689,331166,795689,842968,948339,1128975,1204240,1243589,1354770,1411598,1445088,1451993,1625724,1630313,1863844,1897253,2045273,2664773,2929193,2958533,3200798,3309989,3378926,3487192,3543653,3923091,3980393,4183589,4531013,4617689,4734628,4975598,5136233,5152286,5165848,5193689,5394533,5623589,5644888,5811579,5823593,5857598,5994713,6336089,6350499,6421253,6911246,7325189,7409513,7436126,7605989,7941893,8165189,8297188,8308046,8360153,8499173,8655806,8915033,8942693,9176366,9235455,9273989,9329093,9349598,9494213,9741353,9851152,10213598,10315493,10587653,10641989,11048489,11082546,11137971,11478868,11721989,12099955,12203813,12324568,12534244,12613646,12842213,12954206,13037272,13512088,13556739,13843589,13865139,14183513,14287444,14496089,14519946,14648366,14666931,14962793,15153806,15201099,15401189,15645592,15707395,16041689,16138975,16169189,16355608,16474373,16550489,16609255,16729828,17106473,17285650,17383013,17601291,17608553,17827598,17933189,17983013,18400059,18490286,18800489,18820766,18848874,19366770,19425688,19447015,19479998,19503844,19536089,19609253,19675579,19706693,19779689,19931106,19983615,20216153,20336933,20539348,20603608,20657888,20742780,20865989,20985689,21152933,21281006,21295973,21315856,21509993,21543655,21544792,21652313,21663759,21769166,21853899,22125632,22210143,22259428,22336133,22359593,22659855,22710533,22719832,22954648,22968939,23179059,23240124,23336418,23337689,23387006,23643763,23831979,23972308,23980338,23996355,24170512,24237891,24350798,24415493,24778373,24891336,24891353,25094213,25149998,25337428,25559811,25596112,25786766,25823979,25832489,25852386,26165189,26319833,26452073,26527971,26825189,27043589,27087173,27170392,27191826,27217733,27343975,27369689,27525998,27637528,27683246,27693989,27781450,27987722,28002753,28107970,28337752,28443689,28467326,28698473,28761989,28795626,28936046,29015333,29067748,29455913,30161753,30259255,30551455,30566691,30643598,30776650,30878693,31092219,31132888,31182953,31806053,31879971,31905833,32027726,32203973,32333726,32342489,32500313,32736089,32759128,32791646,32812770,32943998,32970713,33223192,33262373,33281753,33320489,33337740,33571493,33729564,33855086,34126553,34213683,34240553,34316393,34373189,34613848,34764244,35000288,35024499,35309189,35362046,35364713,35428948,35438633,35560256,35563346,35769689,35806313,35811326,35845579,35915993,35960798,36233368,36311106,36405989,36423844,36661746,36854019,36907973,36926488,36931980,37085668,37232755,37301955,37376091,37447598,37595486,37649189,37701593,37997189,38076244,38427689,38479013,38735188,38940579,39021989,39150579,39223493,39375324,39394112,39504926,39559255,39573353,39629863,39693208,39788752,39815643,39936089,39950115,39982460,40005288,40012522,40067033,40229993,40377998,40617833,40730575,40762539,40794053,40843288,40857893,40957166,41000091,41143589,41360815,41457989,41542299,41613989,41846489,42031193,42338788,42563333,42593955,42613456,42653573,42758489,42981989,43108526,43203689,43250798,43392926,43467353,43598213,43670633,43886693,43965268,44313413,44318376,44397893,44654859,44665598,44679306,44762346,44774489,44815973,44912489,45005949,45145253,45158873,45348713,45367598,45433552,45483353,45763493,45829673,45937003,45948699,46205246,46230244,46467653,46531673,46659113,46986713,47399575,47471106,47589413,47940138,47948933,47978952,48161189,48276686,48359273,48370853,48823598,48849989,48876690,48883673,48906089,49238489,49271333,49304152,49347689,49503998,49632978,49755353,49829189,49831683,49858173,49986089,50045726,50083292,50161733,50192489,50263973,50315726,50324933,50440792,50499555,50625413,50667928,50779015,50804780,50821733,51112746,51204773,51207970,51345113,51348952,51428453,51456089,51474473,51665573,51746393,51809863,51861989,51906089,51967493,51989668,52095891,52135136,52140773,52268633,52352873,52377989,52527173,52689893,52722053,52851998,52888793,53189093,53189650,53211689,53271593,53345753,53448233,53541989,53642126,53683589,53835653,53866192,53876453,53898355,53937113,53970533,53976321,54010373,54035246,54205253,54417413,54437138,54508073,54519448,54555689,54596933,54687566,54786089,54813989,54896489,54966533,54977189,55014233,55045673,55092293,55133189,55193573,55212355,55296473,55336286,55353689,55367813,55386533,55400489,55437353,55455593,55467171,55593139,55594766,55613993,55707531,55738073,55777444,55785689,55873733,55910693,55943273,55976515,56016773,56033753,56057189,56112473,56177573,56198489,56213189,56241989,56250473,56256089,56289113,56313763,56344133,56405033,56436953,56458793,56475689,56490053,56519513,56561189,56582873,56606213,56614090,56626373,56630489,56643689,56658473,56661989,56695013,56695913,56712233,56726489,56732633,56740613,56742953,56744153,56745413,56745833,56745891,56746073,56879490,57001419,57117800,57515006,57767571,57967828,58127512,58147886,58371079,58577368,58652028,58902244,59251672,59523748,59632507,59776526,60042099,60184124,60599466,60643406,60671456,60822808,60878923,60934818,60965736,61012766,61135598,61258286,61334379,61449564,62258911,62838232,62921428,63056383,63827580,64257525,64625368,64635086,64678026,65393451,65624290,65899539,66047726,66185752,66254826,66513998,66658131,67065922,67171818,67554686,67889823,67936908,68082752,68103844,68255388,68421955,68425659,68541360,68586453,68697326,68794755,69297112,69375998,69825566,70093455,70606766,70693011,70848088,71303043,71513859,71547560,71600798,71710526,71711908,72167491,72541450,72703539,72799886,73110784,73333131,73381072,73874846,73913619,73940632,73992499,74014090,74458971,74766352,74829998,75262168,75355598,75573844,75922072,76311079,76593096,76808126,76865815,76910798,76997650,77109030,77459608,77686855,77767340,77926228,77959251,78433598,78749148,79154115,79418770,79430798,79431832,79704099,79966450,79969444,80413598,80491005,81522123,81859015,82106346,82203058,82241246,82249632,82430606,82436383,82489432,82553706,82641963,82717243,82807598,83183211,83647406,83726548,83979715,84013528,84112146,84431056,84665752,84669939,84674755,84703346,84884575,84944211,84953155,85412331,85593615,85651166,85658739,85857072,85919006,85969443,85977320,86167233,86362526,86618968,86969890,87014515,87049740,87142059,87151444,87757598,88161855,88610798,88816908,89130148,89360811,89781086,90273998,91056427,91243292,91299856,91403966,91483598,91814091,91932388,92006115,92232472,92238978,92350046,92397180,92447512,92530836,92800611,92853056,93224226,93320808,93322708,93503486,93805598,94039312,94266055,94476926,94515219,94550798,94563555,94624526,94636659,94984938,95248971,95302524,95451352,95808460,95822625,95959740,96589206,96699998,96724485,96948568,97114286,97446339,97582911,97658606,97745650,97793246,97994126,98016088,98127055,98139856,98230818,98378378,98457806,98556992,98719598,98781826,99083428,99199563,99300206,99931646,...,126748025380960435697695438892174171098186302289238137968730151125751372235459455518623791847705135032271786952091880545872002841174317721156112656560007732985897962791532267197905564957967678858482602754169128600929921972106315869994535726495043779500497437011867906436156108226076623752074937750478055978957840011816583599650041256234197371911797677943532101824659736529362649499244684558555787919374636249320482008883791990494307163026904821576502859169804322126800284345491881375376270270373980318426528727080032466206907742211648157456752919822863889135351943896859871348886745656892078553486337437885822649021366759039946440328223060850190409551882311781028122968760334189558444594174220684096009154617573245928296128715961541571438460129669589270904060185232376451358512965367629444370744308047045912476265948966326372726641603252976422093895937956747849290031695344271404710146400265290296904061255879204415284403554891087120454805931943831184591505826784329132291645207507245569085834219553190450734737624216892908461163275077598980763902213610363036458135117920855233230481459192100464384898395313579985659295463496973794841531314712750461146183122658517754041044807484208288481522469743254052687592616359160065246443515442759589381351914906295140043974898546308928175269746673525309125309865654381456547466755175184876736032379072905627853323823444422802184826153670442558102746542553432563443367747131538597019288393637761228897172138342820898697290691341282290412987922669162742502121988526734376148673514742704415424621169969937359967464340845255567697348493529171034675581540398466806900275613493685233129537384692477326559247409155786828807218875511347782419622259397454761822393326436521754783884675728489305024387508691539690479124782262977100972265181022574227129540586940194325986046020841417964888697818252373862879831488083412427512434813151410095917477592804432296252408931104252017893665651205155522793517287489482545115014243205079732473077518284347552024449536480049303003503847080397470863178366469650123778019916363692710174138296640273912600047641327373471765088900839766859893428387911532893480392064443627754995847948220718046135023451655198349820698572874550457910113925415495989197079710830935113823430376418802816876237136311150352122305089006968180141156860630822756380095481070435156112911961271330482741563364622824339966185217319644796622947935624371425959609}
15067   355683893120678885452670071325682573853253252767247563348393118: {120488,135549,496749,737597,1053710,1264452,1505300,1806360,1926784,2032155,2117397,2167632,2329805,2438586,2795766,3051293,4358990,4494269,4520117,4801197,4855013,4939277,5068389,5230788,5918285,6457310,7056110,7101149,7101942,7223177,7463397,7605686,7728429,7748772,8001929,8467332,8619758,8687918,8786397,8845013,9443177,10366869,10371485,10704269,10783997,11154189,11407613,11823077,12031349,12223838,12313940,12445782,12462069,12983709,13541726,13689893,13764549,13829309,14024397,14311157,14348585,14776728,14850628,15320397,15405710,15667805,15827918,16296590,16548734,16623819,16890110,16997477,17065637,17218302,17859305,17921453,18028157,18075652,18486852,18651374,18801366,18851693,18860777,18920469,19359928,19431309,19555908,19556990,19879853,20019389,20027342,20085317,20268132,20444510,20791277,20855813,20912285,21021149,21149198,21431166,21779919,21972549,22396598,22468469,22730709,23403446,23468388,23774093,24182837,24282110,24379805,24533412,24617069,24795533,25094742,25131832,25413869,25674185,25754510,25822360,25928475,26055437,26172197,26415029,26574808,26644820,26741397,26930990,27241277,27554693,27657040,27735429,27824285,28231149,28273311,28399790,28664237,28683293,28693310,28885012,29050155,29070293,29138532,29219997,29255766,29613524,29896659,29965385,30213140,30287117,30404777,30625252,30809022,30905412,30938669,30986832,31090613,31114170,31115224,31554029,31671785,31704197,31775972,31918238,31921509,31973784,31995140,32218757,32303102,32310677,32317188,32319677,32653749,33188448,33346757,33389142,33785033,33878966,33962990,34079748,34431972,34469848,34546910,34731557,34815158,34860186,35004627,35080509,35185238,35370628,35422190,35737877,35958462,35970507,36255768,36334685,36526197,36629693,37286774,37337004,37349213,37724997,38006142,38394168,38680149,38778579,38916110,39261326,39754358,40206734,40398857,40663862,40714349,40755588,40787739,40948910,41238773,41251877,41288997,41456292,41524869,41528990,41672175,41981583,42161955,42506628,42700989,42739493,42995069,43008086,43091117,43141133,43193439,43267310,43404069,43455305,43601622,43701773,43750360,43754477,43890782,44135693,44286185,44334437,44419853,44450320,44892809,44921573,44930333,44972752,45031613,45291710,45529805,45618244,45751913,45902237,45965397,46057742,46158110,46164975,46357085,46409129,46699332,46931189,47132918,47190569,47595305,47704517,48041589,48413333,48414808,48418985,48500589,48882328,49138692,49187469,49219155,49242640,49308398,49415997,49436777,49519493,49616510,49735940,49834788,49978075,50006610,50240933,50265902,50372846,50569469,50584574,50594346,50782629,50861573,51054110,51127613,51255197,51283157,51327998,51454238,51845213,51920772,52080509,52146366,52200772,52275269,52500432,52923485,53043069,53076797,53087524,53143422,53219957,53266820,53340384,53345019,53399126,53716989,53756957,53794253,53941197,54342509,54350052,54466659,54635766,54666788,54694838,54956585,54983453,54992619,55363934,55389732,55397970,55587293,55628502,55789673,56171397,56209157,56393229,56547197,56791940,57114366,57698153,57787805,57912533,58102782,58169534,58855277,59062986,59080157,59091168,59257389,59372633,59539812,59572408,59683128,59973690,59981129,60007932,60018783,60244349,60566997,60634973,60731177,60741974,61055693,61264932,61435749,61630190,61992077,62604115,63019829,63050990,63294808,63334910,63353069,63505975,63508182,63920184,63922973,63971936,64186190,64191173,64208438,64475177,64662789,64698053,64810589,64876197,64987085,65089389,65168920,65190173,65354654,65420558,65854397,65923589,65947902,66177304,66431813,66442244,66477564,66925742,66998397,67018959,67143519,67332740,67777157,68033957,68051397,68086853,68149310,68150328,68228702,68532974,68763053,68901206,69307869,69345366,69461188,69502853,69584069,69721805,70566893,70780982,71017253,71044037,71206659,71397250,71910207,71968428,72178253,72415029,72416093,72459785,72659390,72760886,73221710,73235397,73315035,73511837,73627805,73877174,73956228,74046038,74064590,74082533,74255997,74276708,74322149,74404685,74449467,75068589,75124938,75230155,75473589,75535469,75555149,75644777,75661188,75791597,75839320,75972446,76001892,76016909,76028510,76207170,76386089,76481198,76584413,76669119,76811955,76937846,76976813,77023428,77156414,77345909,77600942,77739773,77984502,78202704,78415577,78538526,78547790,78584078,78651785,78841013,79277997,79488158,79784475,79887374,79903373,80056132,80086409,80463189,80703413,80781710,80799288,80891573,81052869,81246424,81287648,81352517,81655707,81779172,81932752,82031349,82173758,82284398,82301609,82732190,83004429,83128973,83392149,83519933,83608349,83662238,83666166,84046814,84290777,84346814,84829997,84841013,84921135,85103440,85129805,85319235,85676700,85763438,85764077,85872374,85984253,86237368,86272509,86621390,86951742,87080933,87191268,87221829,87455849,87628037,87699317,87823229,87866052,87978042,88000157,88136246,88259318,88339768,88353366,88560110,88724813,88805669,88877508,89118799,89285622,89434450,89496686,89562424,89639885,89662877,89664789,89857397,90228173,90276186,90492734,90519764,90582544,90726413,90899199,90965109,91007184,91234212,91290806,91388480,91402227,91448604,91491518,91519149,91607237,91703397,91726340,91887429,91898213,91964246,92047982,92174346,92425790,92555213,92649374,92955629,93457940,94077710,94080557,94107797,94161398,94257348,94382142,94422134,94467305,94902590,95070724,95148989,95351812,95395958,95711753,95741370,96313637,96475973,96673166,96824510,96938052,96952629,97017039,97209175,97407785,97469069,97777508,97805342,98301533,98358173,98388254,98432009,98436435,98551492,98893097,99050153,99071589,99242213,99278628,99289790,99382239,99471998,99601238,99756278,99770997,99961805,...,168997367174613914263593918522898894797581736385650850624973534834335162980612607358165055796940180043029049269455840727829337121565756961541483542080010310647863950388709689597207419943956905144643470338892171467906562629475087826659380968660058372667329916015823875248208144301435498336099917000637407971943786682422111466200055008312263162549063570591376135766212982039150199332326246078074383892499514999093976011845055987325742884035873095435337145559739096169067045793989175167168360360498640424568704969440043288275876989615530876609003893097151852180469258529146495131848994209189438071315116583847763532028489012053261920437630747800253879402509749041370830625013778919411259458898960912128012206156764327904394838287948722095251280172892785694538746913643168601811350620490172592494325744062727883301687931955101830302188804337301896125194583942330465720042260459028539613528533687053729205415007838939220379204739854782827273074575925108246122007769045772176388860276676327425447778959404253934312983498955857211281551033436798641018536284813817381944180157227806977640641945589467285846531193751439980879060617995965059788708419617000614861577496878023672054726409978944384642029959657672070250123488478880086995258020590346119175135886541726853391966531395078570900359662231367078833746487539175275396622340233579835648043172097207503804431764592563736246434871560590077470328723404576751257823662842051462692384524850348305196229517790427864929720921788376387217317230225550323336162651368979168198231352990272553899494893293249813289952454460340756929797991372228046234108720531289075867034151324913644172716512923303102078996545541049105076291834015130376559496345863273015763191101915362339711846234304652406699183344922052920638833043017302801296353574696765636172720782586925767981394694455223953184930424336498483839775317444549903349913084201880127889970123739243061669878574805669357191554201606874030391356383319310060153352324273439643297436691045796736032599381973399070671338462773863294484237821959533498370693221818256946898851062187031883466730188436497962353451867786355813191237850548710524640522752591503673327797264294290728180031268873597799760931430499400610546818567220661318929439614441246818431240501891737089168316181748200469496406785342624240188209147507763675173460641427246874817215948361773976988751152830432453288246956426193062163930580832495234612812}
15068   357291233824092354653206407949956816679711329565510240066626036: {105427,150610,180732,391378,556147,662332,1580565,1591378,1685936,1881625,1896678,2075131,2257950,2408480,2487178,2694547,2709540,2823196,2890176,2903986,2958931,3251448,3260626,3573307,3657879,3727688,3794506,4009987,4090546,4193649,4877947,4964347,5329546,5858386,5917066,6401596,6422131,6538485,6619978,6757852,6974384,7087306,7846182,7960786,8367178,8777827,8943931,9062026,9109747,9235378,9469256,9523027,9685965,9951196,10272466,10304572,10331696,10387378,10425907,10584165,10652913,10789066,11239147,11247178,11289776,11408529,11623158,11647186,11715196,11989426,12672178,12700998,12842506,12929637,13002931,13031877,13822492,14028787,14576131,14650378,14819026,14872252,14964931,15211978,15392425,15883786,16330378,16594376,16616092,16720306,16939937,16998346,17108947,17311612,17636131,17830066,17885386,18335757,18352732,18470910,18547978,18563285,18658186,18668673,18699196,18901747,18988426,19122931,19482706,19702304,20001187,20312589,20427196,20630986,20725147,21175306,21283978,21868507,21990353,22096978,22165092,22222027,22275942,22362931,22594565,22957736,23108565,23202307,23252957,23410531,23443978,23618107,23741877,23893867,24199910,24407626,24444885,24649136,24823101,25068488,25227292,25335165,25684426,25827453,25908412,26074544,27024176,27113131,27113478,27225821,27687178,27730278,27892027,27942629,27977061,28085131,28202049,28367026,28574888,28724131,28992178,29039892,29040931,29230147,29296732,29333862,29335485,29481427,29856187,29925586,30041013,30104587,30161117,30307612,30402198,30666765,30802378,31086667,31291184,31414790,31630987,31723797,31930867,31990627,32083378,32146749,32277950,32338378,32584267,32711216,32878387,32948746,32995531,33100978,33170707,33218510,33287131,33306025,33459656,33594897,34036867,34212946,34265107,34571300,34766026,34886827,35105169,35202582,35217106,35655196,35866378,35940187,35966026,36106265,36375931,36423165,36753427,36800118,36980572,37016905,37180531,37600978,37641532,37642113,37697748,37766425,37812547,38228131,38281565,38631765,38733540,38851376,38894030,38959996,39007688,39072178,39218506,39351158,39413386,39559378,39596707,39719965,39862212,39967230,39993925,40396485,40432306,40624867,40673866,40817107,41055787,41078696,41207216,41315776,41485560,41527747,41731978,41971378,42305866,42359131,42362957,42562012,42585931,42591946,42599685,42631712,42772037,43019986,43039965,43087310,43089584,43304626,43327518,43538332,43606027,43692931,43707798,43883649,44213285,44251264,44419987,44420286,44518856,44672266,44719186,45044227,45167131,45319710,45370531,45421066,45439664,45491707,45652267,45851347,45909296,45937878,46213533,46282987,46358118,46480248,46553131,46667827,46671255,46672836,46675378,46774012,47194507,47287526,47663958,47877357,47944616,47958067,47960676,47992710,48099907,48341024,48380131,48454653,48475782,48701596,48830986,49291867,49556746,49782672,49782706,49870531,50083713,50120227,50181931,50188426,50299996,50334931,50635531,50674856,50818449,50841667,50928931,50944485,51119622,51158467,51192224,51299587,51355531,51573532,51647958,51664978,51685147,51704772,51820365,51978187,52125857,52222737,52237027,52287931,52290279,52330378,52363747,52413931,52639666,52694653,52708987,52777857,52852627,52904146,53055942,53133285,53200387,53574931,53650378,53723107,53847307,53937693,53988931,54028747,54087178,54174346,54340784,54383652,54435466,54609067,54687950,54739378,55051996,55058131,55104787,55275056,55328347,55366492,55382957,55385227,55387978,55427131,55522387,55535707,55562900,55626931,55751131,55786987,55901827,55930161,55956547,55975444,56005506,56030131,56050507,56194147,56215940,56368027,56439667,56533627,56675504,56710531,56727667,56733931,56757907,56760427,56887378,56934652,57009213,57022805,57396946,57523978,57591252,57872092,57905141,58030666,58135496,58374165,58891989,58911826,59631537,60310101,60323506,60518510,60995793,61102910,61133382,61287196,61423365,61553300,61757386,62169925,62184438,62265776,62293485,62365906,63612106,63759942,63811666,64055452,64407946,64512129,64588117,64667452,64684978,64900965,65000626,65250965,65402433,65472178,65518256,65583292,65625540,65836173,65887996,65941426,66359405,66446384,66524746,66552629,66563506,66583525,66640978,66675480,67142986,67459128,67710172,67937565,68253106,68333485,68427366,68481106,68632786,68746378,69086613,69227696,69237165,69528488,70000576,70048998,70474781,70618378,70699377,70724092,70729426,70857896,70877266,70989925,71090621,71120512,71126692,71539378,71612626,71622652,71691158,71831986,71921596,72466736,72622212,72811978,72847688,73323492,73578713,73708038,73778521,73815946,73852976,73863960,73962597,74171336,74424765,74465510,74603910,74752182,74895196,75009915,75190972,75298378,75398853,75403186,75457697,75559269,75876861,75891519,75994378,76152488,76581165,76855378,76958026,76991997,77181357,77297297,77470376,77881158,78043978,78219549,78301158,78367121,78446986,78750648,78788224,79009852,79118510,79146706,79259726,79386416,79577504,79631286,79715133,79872178,79900230,79964920,80010576,80025044,80098689,80134066,80459986,80755996,81235666,81461150,81525078,81588106,81686576,81715786,81914332,81953649,82000182,82042257,82287178,82721630,82915978,83045901,83052805,83084598,83096955,83227978,83442753,83692978,84062386,84165925,84677576,85126666,85187910,85226912,85288853,85307146,85516978,85671549,85963978,86217052,86407378,86501596,86785852,86826485,86934706,87154173,87196426,87254301,87341266,87773386,87930536,88594479,88626826,88636752,88795786,89309718,89331196,89358612,89524692,89548978,89631946,89824978,89960535,90011898,90290506,90317746,90697426,90735196,90867104,90966706,91112961,91526986,91659346,91874006,91897398,92134781,92410492,92445285,92460488,92845885,92935306,93063346,93318226,93973426,94576485,94799150,94942212,95002365,95178826,95262273,95790737,95880276,95897866,95957904,96279285,96312657,96322378,96553372,96718546,96741706,97647196,97699978,97753380,97767346,97812178,98031981,98130837,98476978,98542666,98608304,98695378,98921853,99007996,99265956,99510706,99658378,99663366,99716346,99972178,...,253496050761920871395390877784348342196372604578476275937460302251502744470918911037247583695410270064543573904183761091744005682348635442312225313120015465971795925583064534395811129915935357716965205508338257201859843944212631739989071452990087559000994874023735812872312216452153247504149875500956111957915680023633167199300082512468394743823595355887064203649319473058725298998489369117111575838749272498640964017767583980988614326053809643153005718339608644253600568690983762750752540540747960636853057454160064932413815484423296314913505839645727778270703887793719742697773491313784157106972674875771645298042733518079892880656446121700380819103764623562056245937520668379116889188348441368192018309235146491856592257431923083142876920259339178541808120370464752902717025930735258888741488616094091824952531897932652745453283206505952844187791875913495698580063390688542809420292800530580593808122511758408830568807109782174240909611863887662369183011653568658264583290415014491138171668439106380901469475248433785816922326550155197961527804427220726072916270235841710466460962918384200928769796790627159971318590926993947589683062629425500922292366245317035508082089614968416576963044939486508105375185232718320130492887030885519178762703829812590280087949797092617856350539493347050618250619731308762913094933510350369753472064758145811255706647646888845604369652307340885116205493085106865126886735494263077194038576787275522457794344276685641797394581382682564580825975845338325485004243977053468752297347029485408830849242339939874719934928681690511135394696987058342069351163080796933613800551226987370466259074769384954653118494818311573657614437751022695564839244518794909523644786652873043509567769351456978610048775017383079380958249564525954201944530362045148454259081173880388651972092041682835929777395636504747725759662976166824855024869626302820191834955185608864592504817862208504035787331302410311045587034574978965090230028486410159464946155036568695104048899072960098606007007694160794941726356732939300247556039832727385420348276593280547825200095282654746943530177801679533719786856775823065786960784128887255509991695896441436092270046903310396699641397145749100915820227850830991978394159421661870227646860752837605633752474272622300704244610178013936360282313721261645512760190962140870312225823922542660965483126729245648679932370434639289593245895871248742851919218}
15069   358905779894247351213460346822257357942786079396555237046627521: {225915,240976,271098,587067,827915,993498,1475194,2107420,2387067,2528904,2845017,3010600,3261727,3386925,3528995,3612720,3730767,3853568,4064310,4234794,4335264,4355979,4659610,4877172,4890939,5426191,5591532,5691759,6102586,6135819,6772667,7994319,8001995,8285599,8392267,8447315,8717980,8787579,8875599,8988538,9040234,9602394,9710026,9878554,9929967,10016339,10136778,10461576,10554139,10630959,11769273,11836570,11941179,12438995,12550767,12880715,12914620,13593039,13853067,14112220,14202298,14203884,14218867,14446354,14520079,14643995,14654651,14926794,15211372,15408699,15456858,15497544,15581067,16003858,16183599,16617227,16870767,16934664,17239516,17278115,17375836,17434737,17470779,17572794,17597327,17690026,17984139,18590315,18886354,19008267,19051497,19073359,19263759,20088019,20733738,20742970,20770115,21121259,21179899,21408538,21567994,21639515,21934927,21975567,22228539,22308378,22815226,22817967,22940915,23373995,23646154,23825679,24062698,24447676,24495567,24627880,24647779,24891564,24924138,25003027,25080459,25497519,25533995,25670867,25967418,26745099,26828079,27083452,27354767,27379786,27529098,27658618,27703567,27706365,27821967,27987279,28048794,28482639,28622314,28697170,28697819,29224059,29251279,29277199,29296751,29553456,29701256,30616979,30640794,30811420,30821171,30946479,31235567,31335610,31534115,31655836,31762959,31925967,32385515,32593180,33097468,33145467,33247638,33413913,33780220,33994954,34131274,34131727,34436604,35165967,35718610,35842906,35943859,36001499,36009199,36056314,36151304,36210011,36299865,36611439,36620915,36764879,36973704,37033007,37287779,37302748,37602732,37703386,37721554,37840938,37884515,38526639,38588531,38719856,38862618,38953999,39111816,39113980,39759706,40038778,40054684,40170634,40536264,40670217,40889020,41530767,41582554,41595417,41711626,41824570,41951539,42042298,42298396,42550539,42862332,43214125,43488267,43539827,43559838,43756331,43759139,43945098,44000793,44139979,44340499,44568995,44793196,44888379,44936938,45461418,45603297,46105039,46203567,46225715,46770539,46806892,46936776,47051915,47122185,47548186,48125067,48365674,48416925,48507567,48564220,48699995,48759610,49066824,49234138,49423119,49591066,49651467,49827765,49891487,50189484,50263664,50445091,50449487,50774959,50827738,50868559,51052019,51134491,51319419,51348370,51401867,51509020,51644720,51856950,52044431,52110874,52149039,52344394,52803873,52825659,52830058,53149616,53202515,53219179,53289640,53482794,53799567,53861980,53949039,54422915,54482554,54512411,55109386,55200177,55314080,55470858,55617787,55648570,56151631,56401467,56462298,56546622,56799580,56894419,57150239,57328474,57366586,57386620,57770024,58046351,58100310,58140586,58277039,58277064,58341045,58439994,58467515,58511532,58608267,58827759,59026737,59120079,59227048,59339067,59793318,59930770,59950845,60184459,60185219,60426280,60574234,60648459,60809554,60837427,60876995,61010799,61207439,61250504,61618044,61810824,61877338,61973664,62000659,62181226,62228340,62230448,62268859,62579471,62597967,62768651,62821999,62874995,62957067,63108058,63343570,63408394,63458799,63551944,63741727,63836476,63843018,63887919,63947568,63990280,64344011,64437514,64466915,64486171,64529979,64606204,64621354,64630965,64634376,64639354,64652027,64899919,64956939,64991277,65307498,65561697,66093967,66376896,66630429,66633427,66693514,66778284,67008399,67078779,67471151,67570066,67602659,67757932,67786579,67925980,67979565,68131599,68159496,68814995,68863944,68906817,68939696,69093820,69208115,69346607,69453625,69463114,69537177,69630316,69686047,69720372,69969305,70009254,70013067,70161018,70269925,70370476,70561067,70741256,70844380,70931289,71168315,71197867,71475754,71495937,71916924,71941014,71942851,71989065,72340115,72511536,72669370,72713673,73017739,73052394,73246479,73259386,73514579,74092879,74335119,74573548,74587739,74674008,74674059,74698426,74953967,75282639,75449994,76012284,76097071,76608995,76679433,76788336,76939219,76941625,77360298,77471937,77497467,77557158,77832220,77935667,78495567,78522652,78959499,78987439,79356219,79382867,79402159,79508716,79524667,79583913,80011787,80069315,80413468,80475567,80797714,80834315,80902927,81130767,81261519,81327724,81428698,81459851,81511176,81575478,81653199,81897820,81979115,82031925,82109067,82359995,82477546,82503754,82577994,82912584,83049738,83057980,83081967,83311547,83344350,83642747,83963166,84008259,84323910,84637715,84798059,85013256,85331067,85401978,85478986,85990138,86016172,86095419,86182234,86282266,86285967,86386878,86534620,86808138,86910610,87045999,87203244,87403546,87500720,87508954,87640939,87645761,87781564,87835267,88208699,88271386,88367739,88405115,88572370,88668874,88839706,88900640,88908365,88979599,89422367,89528315,89674939,89785618,89843146,89860666,89901995,89945504,90063226,90485259,90583420,90686651,90777765,90895811,90981919,91059610,91236488,91503826,91654365,91683887,91700073,91804474,91930794,92115484,92316220,92329950,92636079,92714170,92818258,93276657,93398664,93548859,93618995,93862378,93988715,94207339,94265836,94381138,94431259,95190610,95409034,95418159,95509859,95639913,95717499,96083178,96611919,96826666,96829616,96837970,96983407,97001178,97027467,97500939,97513979,97610527,97764656,98208267,98277384,98374938,98438310,98485280,98616796,98762315,98809867,98831994,98873554,98912139,99038986,99233020,99318299,99420467,99457147,99471880,99669576,99787119,99845259,99956150,99961467,...,380244076142881307093086316676522513294558906867714413906190453377254116706378366555871375543115405096815360856275641637616008523522953163468337969680023198957693888374596801593716694873903036575447808262507385802789765916318947609983607179485131338501492311035603719308468324678229871256224813251434167936873520035449750798950123768702592115735393033830596305473979209588087948497734053675667363758123908747961446026651375971482921489080714464729508577509412966380400853036475644126128810811121940955279586181240097398620723226634944472370258759468591667406055831690579614046660236970676235660459012313657467947064100277119839320984669182550571228655646935343084368906281002568675333782522662052288027463852719737784888386147884624714315380389008767812712180555697129354075538896102888333112232924141137737428797846898979118179924809758929266281687813870243547870095086032814214130439200795870890712183767637613245853210664673261361364417795831493553774517480352987396874935622521736707257502658659571352204212872650678725383489825232796942291706640831089109374405353762565699691444377576301393154695185940739956977886390490921384524593944138251383438549367975553262123134422452624865444567409229762158062777849077480195739330546328278768144055744718885420131924695638926784525809240020575927375929596963144369642400265525554630208097137218716883559971470333268406554478461011327674308239627660297690330103241394615791057865180913283686691516415028462696091872074023846871238963768007488227506365965580203128446020544228113246273863509909812079902393022535766703092045480587513104026744621195400420700826840481055699388612154077431979677742227467360486421656626534043347258866778192364285467179979309565264351654027185467915073162526074619071437374346788931302916795543067722681388621760820582977958138062524253894666093454757121588639494464250237282537304439454230287752432778413296888757226793312756053680996953615466568380551862468447635345042729615239197419232554853042656073348609440147909010511541241192412589535099408950371334059749091078130522414889920821737800142923982120415295266702519300579680285163734598680441176193330883264987543844662154138405070354965595049462095718623651373730341776246487967591239132492805341470291129256408450628711408933451056366915267020904540423470581892468269140286443211305468338735883813991448224690093868473019898555651958934389868843806873114277878827}
15070   360527563372047468135842404421975093581122092936393586631764061: {210854,255901,301220,361464,406647,782756,795901,1112294,1324664,1490247,1511869,1690141,1957009,2212791,2577181,2634275,2665489,2841889,3161130,3182756,3369361,3371872,3544609,3763250,3793356,3806941,4150262,4515900,4590049,4676701,4816960,4974356,5108881,5195101,5389094,5419080,5646392,5780352,5807972,5882269,5917862,6096465,6309409,6352191,6479761,6502896,6521252,6564829,6989089,6989415,7146614,7315758,7411549,7455376,7580029,7589012,8019974,8181092,8387298,9153879,9331681,9496849,9755894,9826321,9928694,10072669,10644961,10659092,10897475,11698429,11716772,11778961,11834132,12260641,12803192,12844262,12898849,13076970,13239956,13482807,13515704,13560351,13847521,13948768,14174612,14239741,14317969,14403591,14565039,14817831,14863549,15205167,15405601,15692364,15921572,16143275,16173841,16479121,16555261,16734356,17010589,17555654,17640275,17754855,17763709,17887862,17988241,18124052,18137569,18219494,18470756,18657949,18805981,18938512,19014215,19046054,19371930,19761169,19902392,20270461,20544932,20609144,20663392,20774756,20851814,21168330,21206929,21303447,21305826,21349921,21549395,21563869,21578132,21635041,21669531,21706141,21719795,21777169,22390191,22478294,22494356,22579552,22817058,23113021,23185287,23246316,23294372,23430392,23978852,24005787,24012049,25101841,25344356,25401996,25572829,25685012,25859274,25988599,26005862,26063754,26359191,26438161,26535039,26833441,26899069,27095521,27356449,27551389,27644984,27810301,28057574,28329531,29152262,29300756,29638052,29744504,29929862,29964541,30212509,30397729,30423956,30520849,30559595,30582301,30643681,30784850,30918767,31010449,31100607,31114455,31632391,31736209,31767572,31856161,32112807,32214289,32333089,32351991,32660756,32746621,32981341,33023107,33188752,33232184,33331261,33440612,33462567,33793789,33854315,33879874,33996692,34217894,34222839,34251709,34365469,34535569,34623224,34761361,35272262,35376349,35469231,35542561,35660132,35770772,35818141,35873041,35927869,36094047,36200929,36671514,36705464,36941820,36955921,37009309,37095956,37126570,37316372,37337346,37386207,37398392,37433821,37696801,37803494,37976852,38010001,38245862,38474941,38514275,38951127,38965412,39404608,39437329,39569795,39586909,39785341,40002374,40080829,40422289,40625178,40741475,40854392,41069679,41142109,41261972,41293647,41371835,41450294,41472481,41487927,41752849,41845729,41892061,42073191,42076669,42214369,42225275,42350612,42567956,42803581,42933471,43045755,43642849,43737014,43980706,44193956,44287069,44330184,44371741,44444054,44551884,44725862,44915089,45189130,45202621,45727249,45767101,45915472,45961191,46122529,46217130,46239709,46404614,46505914,46549021,46628435,46821062,46887956,47003415,47236214,47302141,47339041,47449309,47483754,47787734,48061921,48377821,48399820,48412561,48619489,48815252,48889770,48892475,48925021,49290529,49298272,49388701,49646202,49711261,49774909,49871457,49932769,49995409,50026621,50068355,50136976,50181601,50365201,50395549,50454584,50548771,50670330,50992431,51073681,51111275,51196911,51368852,51467809,51495421,51654906,51686689,51794401,51816824,51823667,52006369,52136509,52149088,52188061,52391389,52565521,52711969,52760209,52872995,52926781,52997089,53181409,53226769,53249341,53383261,53577915,53594191,53764359,53810941,53913361,53933629,53973949,53994001,54048352,54084471,54093181,54226262,54226956,54451642,54453649,54508189,54719869,55002001,55049629,55158241,55218721,55292701,55307281,55321789,55374356,55460556,55462909,55607951,55648381,55784054,55843069,55885258,55954122,55991495,56080669,56170262,56204689,56274961,56283421,56328767,56371729,56404098,56430481,56444449,56464861,56471521,56491069,56555079,56582331,56604829,56628769,56655121,56659261,56682589,56693281,56696701,56734052,56761407,56773309,56773921,56776081,56776189,57149776,57448262,57984356,58079784,58081862,58293927,58460294,58508615,58593464,58667724,58670970,58962854,59639559,59712374,59851172,60058167,60082026,60209174,60255951,60322234,60615224,60705275,60804396,61333530,61604756,61898599,62173334,62275499,62373831,62567439,62582368,62736855,62829580,63063447,63261974,63447594,63861734,63981254,64166756,64293498,64386275,64555900,64676756,65168534,65339757,65422432,65756774,65897492,65917647,65991062,66201956,66341414,66437020,66574262,66612050,66919312,67189794,67327475,67405407,68073734,68192127,68425892,68530214,69142600,69532052,69773654,70210338,70405164,70434212,70999475,71310392,71322279,71732756,71733275,71880374,71932052,72186719,72212530,72548511,72751862,72846330,73139415,73506854,73600236,73851207,73961144,74033810,74361062,74386599,75201956,75283064,75284226,75395496,75532850,75625094,76241607,76331411,76456262,76563130,77022555,77263530,77467080,77702752,77785425,77788060,77919992,78015376,78144356,78166311,78437012,78516591,78653107,78702316,78826772,79118756,79193414,79245087,79439930,79724424,79795595,79831927,79934460,79987850,80224191,80757755,80792970,80864612,81249734,81347732,81415499,81634214,81723831,82111574,82157392,82414432,82458347,82631552,82664079,82971120,83055494,83206287,83463956,83472855,83942756,84611732,84693447,84697415,84718262,84725914,84819933,84907475,85124024,85171862,85183892,85199370,85263424,85544074,85992711,86039972,86049879,86079930,86174620,86179168,86367275,86609252,86655036,87037895,87076664,87150465,87210879,87212054,87360647,87385862,87415596,87659991,87767298,87963095,88426570,88502528,88555475,88839974,88840572,89037712,89344532,89438372,89689977,89896155,90088454,90334262,90639420,90741062,90842132,90861351,90879328,90983414,91214331,91304534,91351351,91702694,91818592,91875756,92427066,92565974,92716236,92816007,92903167,92960496,93106262,93216935,93271839,93335654,93342510,93345672,93350756,93548024,94389014,94575052,94662087,95015355,95112591,95327916,95666879,95754714,95764527,95889232,95916134,95921352,95985420,96199814,96656271,96682048,96760262,96909306,96932031,96951564,96959031,97290275,97403192,97661972,97961247,98153315,98583734,99113492,99385895,99565344,99565412,99741062,99791411,...,506992101523841742790781755568696684392745209156952551874920604503005488941837822074495167390820540129087147808367522183488011364697270884624450626240030931943591851166129068791622259831870715433930411016676514403719687888425263479978142905980175118001989748047471625744624432904306495008299751001912223915831360047266334398600165024936789487647190711774128407298638946117450597996978738234223151677498544997281928035535167961977228652107619286306011436679217288507201137381967525501505081081495921273706114908320129864827630968846592629827011679291455556541407775587439485395546982627568314213945349751543290596085467036159785761312892243400761638207529247124112491875041336758233778376696882736384036618470292983713184514863846166285753840518678357083616240740929505805434051861470517777482977232188183649905063795865305490906566413011905688375583751826991397160126781377085618840585601061161187616245023516817661137614219564348481819223727775324738366023307137316529166580830028982276343336878212761802938950496867571633844653100310395923055608854441452145832540471683420932921925836768401857539593581254319942637181853987895179366125258851001844584732490634071016164179229936833153926089878973016210750370465436640260985774061771038357525407659625180560175899594185235712701078986694101236501239462617525826189867020700739506944129516291622511413295293777691208739304614681770232410986170213730253773470988526154388077153574551044915588688553371283594789162765365129161651951690676650970008487954106937504594694058970817661698484679879749439869857363381022270789393974116684138702326161593867227601102453974740932518149538769909306236989636623147315228875502045391129678489037589819047289573305746087019135538702913957220097550034766158761916499129051908403889060724090296908518162347760777303944184083365671859554791273009495451519325952333649710049739252605640383669910371217729185009635724417008071574662604820622091174069149957930180460056972820318929892310073137390208097798145920197212014015388321589883452713465878600495112079665454770840696553186561095650400190565309493887060355603359067439573713551646131573921568257774511019983391792882872184540093806620793399282794291498201831640455701661983956788318843323740455293721505675211267504948545244601408489220356027872720564627442523291025520381924281740624451647845085321930966253458491297359864740869278579186491791742497485703838436}
15071   362156616439731465152587345655215799671489779939275800991727253: {316281,376525,451830,481952,542196,978445,1159081,1174134,1655830,1668441,1986996,2950388,3978445,4214840,4741695,4774134,4794889,4940593,5057808,5644875,5690034,5877121,6021200,6217945,6225393,6523454,6773850,7057990,7103041,7225440,7259965,7461534,7707136,7761721,8004061,8083641,8128620,8151565,8469588,8670528,8711958,8876793,9319220,9445693,9486265,9754344,9781878,10226365,10464061,10707121,10719921,10852382,10973637,11183064,11202793,11383518,11826241,12029961,12205172,12271638,12580947,12625933,13323865,13545334,14633841,14645965,14792665,14893041,15988638,16003990,16549945,16571198,16784534,16894630,16946281,17319133,17414593,17435960,17575158,17718265,17751198,17926249,17977076,18033001,18080468,18084481,18579121,19204788,19266393,19420052,19615455,19638541,19757108,19859934,19901965,20032678,20273556,20501593,20796841,20917945,20923152,21108278,21261918,21512689,22488961,22655065,23088445,23538546,23606113,23673140,23882358,24189361,24664093,24877990,25101534,25635913,25681165,25761430,25829240,25968445,26026441,26179201,26333481,26710321,26831793,26972665,27186078,27188593,27198673,27329241,27706134,28117945,28224440,28329961,28404596,28407768,28437734,28569081,28690969,28872241,28892708,29040158,29057895,29078161,29117965,29287990,29309302,29624089,29853588,29973565,30295321,30422744,30817398,30913716,30995088,31162134,31239769,31277721,31562641,31680445,31689373,31752495,31958739,32007716,32074033,32106265,32117281,32328361,32367198,32723593,32946769,33233521,33234454,33355681,33717441,33741534,33869328,34225587,34479032,34556230,34623433,34721881,34751672,34869474,34941558,35145588,35194654,35380052,35747593,35968278,36625945,36914761,37047565,37180630,37359289,37437469,37452073,37772708,37976353,38001601,38016534,38029945,38102994,38146718,38484361,38527518,38788911,38964409,39008793,39095631,39709465,39760093,40176038,40825945,41249809,41262961,41467476,41485940,41540230,41800765,42086361,42242518,42264193,42359798,42495865,42807721,42817076,43135988,43279030,43728393,43766281,43869854,43951134,44147761,44457078,44575165,44616756,44622793,44713465,44766301,44894793,45043801,45339721,45630452,45635934,45663721,45681889,45881830,45914521,46177275,46369945,46645465,46747990,46774009,47099593,47292308,47471065,47594041,47651358,48125396,48355981,48426289,48706765,48895352,48907273,48922333,48991134,49255760,49295558,49783128,49820881,49848276,50006054,50160918,50773921,50819811,50864641,50995038,51067990,51269281,51296881,51326841,51341734,51577465,51737281,51934836,52908393,52938265,53038321,53091001,53209945,53241841,53490198,53656158,53771401,53808649,54166904,54578161,54709534,54759572,55007271,55058196,55242445,55317236,55407134,55412730,55643934,55689855,55974558,56006019,56097588,56159521,56224321,56245561,56705241,56965278,57171553,57217393,57244628,57368793,57394340,57395638,58448118,58502558,58554398,58593502,58609945,58705981,59106912,59402512,59622121,60003561,60499775,60688861,60747661,60937767,61019065,61215673,61233958,61281588,61622840,61642342,61820989,61891321,61892958,62175441,62396593,62471134,62549593,62671220,63068230,63311672,63525918,63851934,64211065,64342273,64648093,64700809,64716001,64771030,65186360,65207689,65467201,65605521,65872681,65971059,66194936,66290934,66495276,66666081,66827826,67088793,67265833,67289881,67560440,67783695,67793209,67989908,68105281,68179993,68262548,68263454,68600233,68781529,68873208,69217945,69325695,69356089,69606921,69668401,69758871,70231593,70331934,70333033,70420093,70604809,70839481,70854321,70917565,71063281,71225631,71437220,71681601,71685812,71887718,72002998,72018398,72112628,72302608,72420022,72480445,72599730,73107313,73222878,73241830,73334655,73529758,73947408,74066014,74181133,74469303,74483521,74575558,74597773,74605496,74813965,74964241,75205464,75257089,75406772,75443108,75512893,75555913,75681876,75769030,76005495,76192081,76406941,76964593,77005945,77053278,77177062,77380441,77439712,77482359,77725236,77907998,78223632,78227960,78360673,78436861,78536975,78862369,79417693,79519412,79731721,79738633,79925329,80077556,80109368,80208445,80341268,80543881,80694875,80845945,81072528,81339393,81340434,81471049,81677463,81778040,81854521,81955081,82163353,82259689,82371865,82752445,82846321,83046275,83061534,83165108,83190834,83423252,83631361,83649140,83676081,83827887,83903078,83914801,83931183,84084596,84255393,84313693,84596792,84606147,84863809,85101078,85227793,85423081,85532365,85658953,85724664,86172393,86402569,86428250,86915065,86976534,87079654,87104569,87119676,87122793,87512662,87518278,87690441,87722881,87890196,88001586,88006455,88024993,88042765,88279958,88444281,88581961,88680998,88859881,88920193,89137990,89568561,89586392,89665945,89776758,89873876,89915065,90123039,90253681,90313761,90483351,90646201,90750889,90922836,91005409,91206594,91437673,91863193,92000295,92115889,92210078,92407134,92451430,93260001,93541078,93613784,93873552,94002445,94103830,94106041,94244370,94892961,95096372,95171391,95283529,95329753,95439121,95792601,95857393,95971881,96250134,96270733,96340993,96440247,96731348,96833850,96891361,97015134,97128440,97235075,97399990,97416121,97519220,97680445,97752801,97957027,98046265,98133648,98373133,98377895,98459101,98468276,98533465,98586193,98635161,98846238,98898445,98920093,98986593,99182132,99302934,99356161,99512121,99635641,99655530,99782974,99861393,99889501,99918075,...,760488152285762614186172633353045026589117813735428827812380906754508233412756733111742751086230810193630721712551283275232017047045906326936675939360046397915387776749193603187433389747806073150895616525014771605579531832637895219967214358970262677002984622071207438616936649356459742512449626502868335873747040070899501597900247537405184231470786067661192610947958419176175896995468107351334727516247817495922892053302751942965842978161428929459017155018825932760801706072951288252257621622243881910559172362480194797241446453269888944740517518937183334812111663381159228093320473941352471320918024627314935894128200554239678641969338365101142457311293870686168737812562005137350667565045324104576054927705439475569776772295769249428630760778017535625424361111394258708151077792205776666224465848282275474857595693797958236359849619517858532563375627740487095740190172065628428260878401591741781424367535275226491706421329346522722728835591662987107549034960705974793749871245043473414515005317319142704408425745301357450766979650465593884583413281662178218748810707525131399382888755152602786309390371881479913955772780981842769049187888276502766877098735951106524246268844905249730889134818459524316125555698154960391478661092656557536288111489437770840263849391277853569051618480041151854751859193926288739284800531051109260416194274437433767119942940666536813108956922022655348616479255320595380660206482789231582115730361826567373383032830056925392183744148047693742477927536014976455012731931160406256892041088456226492547727019819624159804786045071533406184090961175026208053489242390800841401653680962111398777224308154863959355484454934720972843313253068086694517733556384728570934359958619130528703308054370935830146325052149238142874748693577862605833591086135445362777243521641165955916276125048507789332186909514243177278988928500474565074608878908460575504865556826593777514453586625512107361993907230933136761103724936895270690085459230478394838465109706085312146697218880295818021023082482384825179070198817900742668119498182156261044829779841643475600285847964240830590533405038601159360570327469197360882352386661766529975087689324308276810140709931190098924191437247302747460683552492975935182478264985610682940582258512816901257422817866902112733830534041809080846941163784936538280572886422610936677471767627982896449380187736946039797111303917868779737687613746228555757654}
15072   363792971421491696546735049733669022330765092411800237536196131: {165671,286007,421708,511802,602440,616271,677745,722928,813294,885767,1333487,1541807,1565512,1591802,1761201,2223527,2224588,2483745,2649328,2695271,2871647,2980494,3023738,3380282,3399047,3574271,3687985,3720071,3914018,4330247,4425582,4619567,4879271,5138327,5154362,5268550,5281967,5330978,5482727,5683778,5711687,6139607,6322260,6338687,6365512,6423887,6480647,6738722,6743744,6990047,7089218,7161201,7412567,7526500,7581071,7586712,7609127,7613882,8252207,8300524,8535051,8586047,9031800,9180098,9250271,9353402,9415607,9525671,9633920,9785181,9827687,9948712,10160775,10217762,10390202,10586985,10755071,10778188,10838160,10999007,11192301,11292784,11560704,11615944,11649025,11700071,11726927,11764538,11807447,11835724,12192930,12618818,12704382,12959522,13005792,13006607,13042504,13067937,13129658,13138847,13954271,13978178,13978830,14293228,14346071,14580287,14631516,14672817,14823098,14865671,14891567,14910752,15160058,15178024,15256465,15484967,16023071,16039948,16278071,16278573,16362184,16557647,16774596,16810967,17038271,17075277,17691287,17791271,18165071,18307758,18407457,18660671,18663362,18907271,18993698,19422527,19511788,19617887,19652642,19788407,19857388,19861367,20128271,20145338,20318001,20947127,21066767,21289922,21318184,21661967,21794950,21804071,22471345,22600585,23116487,23209271,23396858,23417567,23433544,23557922,23668264,23982957,24005985,24152927,24244271,24275065,24521282,24696385,24856797,24902687,25038071,25173167,25176801,25341945,25599071,25606384,25688524,25797698,25844327,25911047,26153940,26362737,26464247,26479912,26574287,26619901,26626797,26837567,26903207,26965614,27031408,27120702,27121487,27230327,27382367,27577271,27695042,27814607,27897536,27900671,28093847,28349224,28479482,28635938,28775447,28807182,28860071,29092127,29130078,29176271,29469767,29591425,29635662,29720087,29727098,29789901,29907071,30049017,30169153,30237887,30407713,30410334,30811202,31015367,31384728,31460207,31662417,31741271,31843144,31892877,32286550,32347682,32358047,32634071,32958242,33006167,33045167,33110522,33123071,33336647,33394727,33468712,33684047,33875927,34021178,34276271,34390007,34541207,34556269,34673087,34935671,35111308,35280550,35307819,35382167,35505745,35509710,35527418,35775724,35787407,35823537,35878967,35952071,35976482,36115885,36206927,36225071,36248104,36275138,36424127,36438988,36540361,36765671,36941512,37281407,37315898,37316985,37611962,37652301,37668167,37720607,37877024,38028430,38068367,38092108,38430071,38498567,38601071,38642145,38743860,39092447,39444071,39460727,39522338,39610271,39804784,40009645,40540922,40779117,41089864,41149271,41165087,41218288,41326784,41549512,41559201,41703628,41868527,42221807,42336660,42413858,42540671,42606894,42611652,42656601,42699842,42781247,42783433,42990071,43079087,43098790,43127738,43156264,43270082,43339062,43412282,43439590,43554338,43560237,43650671,43737527,43931985,43963953,44210087,44225065,44295071,44309207,44379767,44780382,44840447,44937047,44956588,44978327,44988712,45159104,45210887,45634116,45735671,45788807,45934271,46144127,46209287,46226042,46226097,46370574,46492632,46570487,46588744,46634327,46723367,46743201,46860784,47013167,47088071,47212271,47215885,47396041,47470487,47652767,47957704,48011574,48024098,48398687,48421847,48550797,48594527,48765407,48912047,49035071,49079567,49212287,49300127,49311071,49376567,49635671,49851681,49858607,49890167,50005271,50015687,50201807,50203682,50222327,50324447,50375207,50415671,50612301,50688712,50803992,50852327,51145658,51198071,51282887,51370024,51487487,51615671,51706271,51718548,51805007,51834345,51857425,51893927,51938087,51977198,52011724,52017071,52127508,52198847,52304211,52402271,52410647,52412337,52435727,52527071,52718382,52731071,52791981,52876322,52969271,53070078,53192687,53200271,53238071,53245607,53268167,53305607,53424071,53521345,53597927,53666882,53704247,53746271,53798138,53919985,53952071,53952417,54012407,54191042,54240887,54373271,54520247,54562247,54650927,54712898,54732071,54789071,54817271,54850847,55035671,55102778,55186007,55289968,55290671,55391807,55397713,55405967,55438727,55452647,55609727,55620602,55661327,55699271,55770945,55777247,55821071,55860071,56011607,56097407,56107367,56115148,56123807,56190671,56218247,56221271,56254007,56291447,56308271,56338367,56400671,56446727,56460671,56472071,56485487,56494271,56517767,56524007,56582447,56608967,56619071,56659062,56673647,56690807,56705447,56727287,56749271,56756327,56763407,56780687,56784071,56788271,56789087,56789927,56791127,57024801,57038065,57154491,57220077,57791277,57920569,58304524,58601512,59115385,59276104,59489008,59859724,59929082,60156745,60264057,60425018,60795458,60847912,61041698,61119190,61164602,61287362,61569700,61837534,62020898,62201214,62228910,62310345,63264782,63363777,63472418,63535144,63539697,63712322,64225614,64428578,64666178,64703982,64918545,65279809,65321512,65493242,65804781,65926701,65962682,66046214,66377504,66464368,66570361,66662522,66685617,66881224,66925134,67213201,67587578,67708630,67759748,67993384,68435788,68445678,68449465,68453901,68503418,68730938,68822745,69071138,69146545,69246448,69522722,70095697,70121985,70544524,70752698,70938462,71085122,71320264,71477037,71541544,71555785,71636282,71742925,71746082,71855738,72188094,72401858,73343028,73410928,73486701,73598317,73883640,73911842,73943337,74018618,74022193,74191912,74253140,74632744,74674692,74772414,74796784,74867642,75009081,75241377,75393602,75606988,75953704,76020002,76491724,76492557,76601985,76949882,77012601,77028550,77902254,77930824,78339025,78388093,78809216,78874658,79139590,79173818,79570682,80004748,80161658,80235297,80484237,80844578,81250356,81482950,81708784,81912061,82064301,82139358,82284218,82523944,82587294,82743670,82900588,82944962,82975854,83110701,83119095,83465901,83505698,83691458,83784122,83961837,84146382,84153338,84428738,84450550,84701224,84987385,85135912,85311577,85328185,85447917,85607162,85866942,86091510,86093457,87030361,87285698,87474028,87672177,87753837,87831597,87890253,87961412,88387912,88574138,88660368,88743482,88888108,89103768,89296525,89451724,89607265,89830178,90140785,90378260,90405242,90993793,91454498,91534202,91830944,91850937,91922382,92159329,92245058,92434260,92463513,92479418,92809228,92839437,93011828,93098042,93256870,93642124,93706701,93775912,94006830,94258465,94303885,94472428,94602345,94604282,94678082,94898618,94967508,95288877,95575468,95777901,96123842,96218317,96755642,96799640,96825122,97156545,97238978,97630504,97779540,97784950,97850042,98581058,98596544,98777402,99292404,99399265,99422522,99436401,99549818,99742914,99865538,99990818,...,1140732228428643921279258950029567539883676720603143241718571360131762350119135099667614126629346215290446082568826924912848025570568859490405013909040069596873081665123790404781150084621709109726343424787522157408369297748956842829950821538455394015504476933106811157925404974034689613768674439754302503810620560106349252396850371306107776347206179101491788916421937628764263845493202161027002091274371726243884338079954127914448764467242143394188525732528238899141202559109426932378386432433365822865838758543720292195862169679904833417110776278405775002218167495071738842139980710912028706981377036940972403841192300831359517962954007547651713685966940806029253106718843007706026001347567986156864082391558159213354665158443653874142946141167026303438136541667091388062226616688308664999336698772423413212286393540696937354539774429276787798845063441610730643610285258098442642391317602387612672136551302912839737559631994019784084093253387494480661323552441058962190624806867565210121772507975978714056612638617952036176150469475698390826875119922493267328123216061287697099074333132728904179464085557822219870933659171472764153573781832414754150315648103926659786369403267357874596333702227689286474188333547232440587217991638984836304432167234156656260395774086916780353577427720061727782127788790889433108927200796576663890624291411656150650679914410999805219663435383033983022924718882980893070990309724183847373173595542739851060074549245085388088275616222071540613716891304022464682519097896740609385338061632684339738821590529729436239707179067607300109276136441762539312080233863586201262102480521443167098165836462232295939033226682402081459264969879602130041776600334577092856401539937928695793054962081556403745219487578223857214312123040366793908750386629203168044165865282461748933874414187572761683998280364271364765918483392750711847611913318362690863257298335239890666271680379938268161042990860846399705141655587405342906035128188845717592257697664559127968220045828320443727031534623723577237768605298226851114002179247273234391567244669762465213400428771946361245885800107557901739040855491203796041323528579992649794962631533986462415215211064896785148386287155870954121191025328739463902773717397478416024410873387769225351886134226800353169100745801062713621270411745677404807420859329633916405016207651441974344674070281605419059695666955876803169606531420619342833636481}
15073   365436660784095223191095650464513355735762526158547313812525069: {15073,527135,632562,753050,767703,903660,963904,1084392,1219941,1369823,1956890,2318162,2348268,2387703,2780735,3311660,3336882,3973992,4470741,4535607,5070423,5125571,5569823,5666687,5871027,5900776,6568547,6638373,7731543,7902825,7956890,7996467,8394503,8429680,8525667,8705123,9172943,9408125,9483390,9548268,9589778,9881186,10108083,10115616,10163951,10375655,10556951,10633827,10974503,11289750,11380068,11412191,11420823,11695127,11754242,12042400,12435890,12450786,12776063,13020227,13046908,13280771,13472735,13496687,13547700,13770147,14030103,14115980,14206082,14316911,14450880,14519930,14794655,14923068,15326643,15414272,15523442,15585303,16008122,16167282,16257240,16303130,16939176,17341056,17423916,17646807,17753586,17866535,18289395,18593903,18638440,18653411,18891386,18928227,18972530,19056573,19439283,19508688,19563756,19694487,20027423,20049935,20212067,20452730,20504351,20709731,20928122,20967267,20968245,21185567,21414242,21439842,21704764,21947274,21957143,22234647,22366128,22405586,22740087,22767036,22817267,23088803,23169923,23652482,24059922,24389735,24410344,24543276,24805571,24821735,25161894,25251866,25424087,26504927,26577863,26647730,27090668,27403907,27461637,27565751,27696791,27862751,27995043,28490547,29259107,29267682,29285123,29291930,29381663,29478963,29585330,29786082,30218007,30280643,30387251,31566743,31566887,31717091,31934883,31977276,32007980,32110655,32231711,32323823,32692425,33099890,33142396,33480863,33569068,33789260,33874847,33892562,34469171,34638266,34829186,34871920,35010287,35095287,35150316,35336883,35409443,35436530,35502396,35852498,35953631,35954152,36066002,36160936,36168962,36355823,36781923,36919727,37108151,37143347,37158242,37301303,37761731,38409576,38532786,38696547,38840104,39230910,39263687,39277082,39290471,39365123,39514216,39719868,39803930,40065356,40448421,40547112,40681053,40765151,41003186,41542563,41593682,41835890,41846304,41962991,42045911,42216556,42523836,42719223,42953907,43025378,43210773,43590083,43695117,43719311,43889135,44151887,44352623,44437751,44453493,44590647,44719655,44910983,44948771,44977922,45310130,45548735,45615501,46007027,46048847,46117427,46176890,46216803,46950023,47077092,47212226,47236451,47346280,47615135,47700227,47764716,48378722,48429825,48521523,49220471,49328186,49437363,49665783,49755980,50203068,50590943,50788547,51031767,51271826,51276323,51362330,51522860,51658480,51866591,51936890,52052882,52129535,52296287,52358402,52666962,52920825,53233583,53241923,53264565,53291127,53345843,53420642,53616071,53635571,53663586,53945330,53964723,53987687,54372156,54377186,54397346,54412707,54658482,55412268,55498211,55593251,55632671,55811363,55973847,56195735,56235890,56247503,56417943,56448880,56483207,56659922,56809192,56815536,56875468,57042645,57138162,57156323,57381938,57721511,57744482,57785416,57829943,58080316,58115790,58156322,58235930,58521071,58575980,58618604,58879223,59085491,59103911,59248178,59283507,59494211,59505587,59707176,59947130,60005543,60590642,60811383,60845488,61213427,61634796,61827432,61899647,61990176,62324268,62393063,62405231,62479538,62555442,62598851,62838947,63045167,63125282,63360890,63378746,63504990,63620787,63910341,63917478,63948851,64015432,64049763,64148066,64212530,64234562,64501463,64648185,64656722,64691607,64734396,64836647,64905123,64917923,65008593,65014655,65118423,65159385,65303651,65331507,65447186,65612567,65893538,65923847,66370343,66459491,66467042,66468908,66523367,66690887,66711362,67061171,67170573,67434882,67483068,67738656,67780511,67828727,67973027,68061311,68189471,68451174,68660723,68958064,69112460,69246866,69339063,69443762,69503344,69555861,69594311,69677927,69704771,69738948,69883116,70143935,70291176,70389308,70760104,71495186,71936556,72017361,72036147,72208451,72242243,72253751,72880655,73251890,73829522,74095130,74113571,74361260,74493923,74718578,74824655,74874938,74904146,75183587,75305523,75545416,75585527,75952706,76003202,76033068,76047683,76059890,76117667,76205988,76293436,76615271,76718487,76719143,76962125,76968722,77055036,77339423,77377007,77577822,77928818,77965797,78017586,78062207,78191262,79077573,79314483,79418930,79423667,79520186,79605117,79742447,79936307,80119247,80352076,80500323,80697207,81016967,81286563,81651890,81966287,82053923,82069347,82072031,82335383,82499618,82525922,82654167,82934952,82971880,82986803,83080460,83121047,83430903,83442047,83601530,83703107,84172722,84485036,84528386,84699685,84719596,84988593,84991730,85426691,85544735,85615442,85634152,86019251,86271976,86432111,86558060,87456786,87532562,87664727,87739708,87902268,87932771,88180655,88295522,88594103,88760951,88914156,89003507,89150330,89233512,89245586,89426930,89532602,89789586,89893623,89895491,90087602,90637527,90679442,91193187,91260904,91271868,91327442,91363778,91562547,91566467,91678785,91746903,91763660,91829042,91875551,91931043,92117507,92354550,92592947,92739890,92756301,92816425,93031347,93104903,93290930,93301821,93343365,93495980,93548018,94199186,94232951,94457207,94508735,94584616,94897173,94942130,95188082,95188223,95208627,95302716,95568483,95601671,95614655,95847407,96118403,96250792,96283967,96338421,96609347,96642867,96711962,96852578,96905123,96999267,97009571,97055973,97256771,97413530,97429607,97790704,97814546,97844666,97982268,98239863,98511520,98591116,98837063,98944023,99069321,99284591,99369527,99566256,99641762,99696552,99993783,...,1520976304571525228372345266706090053178235627470857655624761813509016466825513466223485502172461620387261443425102566550464034094091812653873351878720092795830775553498387206374866779495612146301791233050029543211159063665275790439934428717940525354005969244142414877233873298712919485024899253005736671747494080141799003195800495074810368462941572135322385221895916838352351793990936214702669455032495634991845784106605503885931685956322857858918034310037651865521603412145902576504515243244487763821118344724960389594482892906539777889481035037874366669624223326762318456186640947882704942641836049254629871788256401108479357283938676730202284914622587741372337475625124010274701335130090648209152109855410878951139553544591538498857261521556035071250848722222788517416302155584411553332448931696564550949715191387595916472719699239035717065126751255480974191480380344131256856521756803183483562848735070550452983412842658693045445457671183325974215098069921411949587499742490086946829030010634638285408816851490602714901533959300931187769166826563324356437497621415050262798765777510305205572618780743762959827911545561963685538098375776553005533754197471902213048492537689810499461778269636919048632251111396309920782957322185313115072576222978875541680527698782555707138103236960082303709503718387852577478569601062102218520832388548874867534239885881333073626217913844045310697232958510641190761320412965578463164231460723653134746766065660113850784367488296095387484955855072029952910025463862320812513784082176912452985095454039639248319609572090143066812368181922350052416106978484781601682803307361924222797554448616309727918710968909869441945686626506136173389035467112769457141868719917238261057406616108741871660292650104298476285749497387155725211667182172270890725554487043282331911832552250097015578664373819028486354557977857000949130149217757816921151009731113653187555028907173251024214723987814461866273522207449873790541380170918460956789676930219412170624293394437760591636042046164964769650358140397635801485336238996364312522089659559683286951200571695928481661181066810077202318721140654938394721764704773323533059950175378648616553620281419862380197848382874494605494921367104985951870364956529971221365881164517025633802514845635733804225467661068083618161693882327569873076561145772845221873354943535255965792898760375473892079594222607835737559475375227492457111515308}
15074   367087717137507620361887061258377078354136901650370816402941394: {195793,331342,572014,646333,843416,915793,948843,1023604,1129575,1204880,1232542,1355490,1445856,1626588,1771534,1898269,2253373,2666974,2935335,3083614,3131024,3183604,3311773,3477243,3522402,4098769,4139575,4447054,4449176,4533469,4966369,4967490,5005323,5163179,5298656,5390542,5743294,5960988,6047476,6168913,6760564,6798094,7148542,7375970,7440142,7610173,7828036,7862353,8281213,8660494,8851164,8864593,9239134,9279133,9691873,9758542,10276654,10308724,10430269,10511953,10537100,10563934,10661956,10756573,10965454,11367556,11423374,11728573,11935335,12130513,12279214,12450769,12644520,12677374,12731024,12847774,12961294,13477444,13487488,13641469,13956253,13980094,14178436,14225085,14322402,14384667,14821779,14825134,14893693,15053000,15162142,15173424,15218254,15227764,16050913,16280413,16308635,16504414,16601048,16661473,16934625,17070102,17172094,17631363,17644975,18063600,18360196,18500542,18653835,18676179,18706804,18831214,18910033,19051342,19267840,19570362,19655374,19718269,19897424,20155453,20321550,20435524,20780404,21173970,21309123,21359051,21510142,21522769,21556376,21676320,21779895,21998014,22231969,22302493,22384602,22585568,22654033,23121408,23231888,23282269,23285163,23298050,23400142,23453854,23529076,23614894,23628769,23671448,23697853,24012183,24250923,24385860,24454695,25237636,25408764,25919044,26011584,26013214,26085008,26135874,26259316,26269693,26277694,26630379,27130955,27908542,27956356,27957660,28337079,28458795,28546513,28586456,28692142,28864573,29160574,29263032,29306833,29345634,29495293,29646196,29731342,29783134,29821504,30118813,30180769,30320116,30356048,30512930,30679095,30796369,30969934,31162273,31392183,31459883,31640819,31646113,32005969,32046142,32079896,32121363,32159763,32556142,32557146,32599969,32724368,32920911,33115294,33245053,33549192,33608379,33621934,33708733,33863335,33985091,34076542,34150554,34338769,34574939,34678753,35382574,35461969,35478723,35582542,36089883,36231073,36330142,36556369,36615516,36814914,36825469,37305313,37321342,37326724,37742841,37814542,37877799,37883869,37987396,38453713,38845054,39023576,39115933,39216733,39235774,39305284,39467473,39576814,39714776,39722734,39971595,40009975,40159969,40256542,40290676,40636002,40839227,40886269,41077213,41172253,41361469,41427995,41549533,41596369,41894254,41961335,42014653,42133534,42236575,42579844,42636368,43012573,43184063,43323934,43410769,43589900,43608142,43889533,43901523,43937895,44317213,44377995,44486269,44679123,44942690,45201170,45955933,46232974,46418542,46732093,46793716,46835134,46867088,47109373,47115844,47258269,47336528,47625469,47949793,47965914,48011970,48162769,48303313,48305854,48488542,48550130,49042564,49320673,49392770,49483933,49649835,49708043,49713594,49805374,50025553,50076142,50081695,50346334,50353602,50562239,50683890,50838843,50872273,50901469,51189469,51198142,51212768,51377048,51595396,51688654,51822094,51957399,52243779,52294993,52307880,52371133,52421533,52725474,52766269,52770695,52909693,52928494,52959824,53148574,53154795,53211553,53239802,53253594,53256913,53369053,53566369,53675134,53757853,53778747,53806414,53931228,54062816,54099003,54201373,54241404,54242974,54253443,54460654,54465469,54645469,54663073,54764734,54835153,54885373,55048093,55154542,55203613,55366369,55380733,55390084,55423393,55437469,55506769,55574269,55626973,55629214,55737363,55795072,55801342,55826269,55838113,55941469,56013503,56187694,56207293,56234833,56321953,56378653,56409469,56575969,56697469,56698448,56759713,56764753,56771773,56785633,56806369,56958964,57271876,57550894,57614364,57720142,57799179,58184254,58260156,58352542,58846365,58915623,58939534,59182850,59271324,59440174,59454196,59579802,59705895,59814142,60098034,60338306,60475774,60815426,60820668,61504779,61622404,61915091,62030734,62194975,62390523,62753835,62769456,62920414,63324834,63482542,63686288,63785754,64403575,64538067,64573100,64695364,64716094,65268142,65916484,66012334,66090334,66102239,66221044,66246142,66673294,66789454,66937424,67368094,67466883,67751854,67965195,68042356,68552542,68780014,69082414,69112538,69265335,69346174,69871342,70222616,70561100,70615638,70764334,70818339,71011490,71019420,71054836,71094335,71551448,71574814,71647074,71757934,71904142,71952964,72231770,72413854,72450142,72496208,72550276,72568083,72600395,72848254,72877976,73080722,73219975,73273255,73531342,73883024,73992279,74562814,74631796,74633970,74929883,75223924,75304602,75336334,75441214,75487979,75754048,76056860,76136734,76184216,76860142,76907739,76997134,77043495,77202142,77284290,77487720,77905335,78079323,78184894,78537603,78674063,78888142,78921454,79000443,79044676,79220542,79433783,79609568,79853291,80019290,80130963,80495379,80917995,81081844,81437191,81558234,81565779,81596019,81987723,82179728,82298542,82330174,82436576,82653568,82761539,83086135,83099024,83118402,83407256,83737054,84219443,84353835,84443614,84673320,84827716,84989883,85081342,85213788,85223304,85313202,85399684,85562494,85566866,85707243,85980142,86072907,86158174,86197580,86255476,86312528,86390575,86540164,86616723,86678124,86824564,86879180,87108676,87120474,87173685,87234483,87301342,87353895,87383923,87475054,87863970,87927906,87986635,88420174,88450130,88590142,88618414,88759534,88872267,89560764,89680894,89874094,89913176,89920695,89956654,89977424,90318208,90421774,90885963,91268232,91471342,91577614,91868542,92288254,92418574,92452084,92452194,92741148,92951575,92985264,93140974,93177488,93268654,93446734,93486402,93719307,93721568,93833163,94026334,94176142,94424542,94431770,94687923,94792082,94940974,95041335,95068119,95257485,95305534,95366795,95829251,95876217,95915408,96023148,96048196,96222099,96318795,96351843,96797374,96805163,96843694,96985083,97101594,97189054,97269227,97530814,97824094,98070142,98159134,98170779,98424574,98600254,98622142,98753134,98840307,99271342,99700563,99703362,99717214,99780334,99817999,...,2281464456857287842558517900059135079767353441206286483437142720263524700238270199335228253258692430580892165137653849825696051141137718980810027818080139193746163330247580809562300169243418219452686849575044314816738595497913685659901643076910788031008953866213622315850809948069379227537348879508605007621241120212698504793700742612215552694412358202983577832843875257528527690986404322054004182548743452487768676159908255828897528934484286788377051465056477798282405118218853864756772864866731645731677517087440584391724339359809666834221552556811550004436334990143477684279961421824057413962754073881944807682384601662719035925908015095303427371933881612058506213437686015412052002695135972313728164783116318426709330316887307748285892282334052606876273083334182776124453233376617329998673397544846826424572787081393874709079548858553575597690126883221461287220570516196885284782635204775225344273102605825679475119263988039568168186506774988961322647104882117924381249613735130420243545015951957428113225277235904072352300938951396781653750239844986534656246432122575394198148666265457808358928171115644439741867318342945528307147563664829508300631296207853319572738806534715749192667404455378572948376667094464881174435983277969672608864334468313312520791548173833560707154855440123455564255577581778866217854401593153327781248582823312301301359828821999610439326870766067966045849437765961786141980619448367694746347191085479702120149098490170776176551232444143081227433782608044929365038195793481218770676123265368679477643181059458872479414358135214600218552272883525078624160467727172402524204961042886334196331672924464591878066453364804162918529939759204260083553200669154185712803079875857391586109924163112807490438975156447714428624246080733587817500773258406336088331730564923497867748828375145523367996560728542729531836966785501423695223826636725381726514596670479781332543360759876536322085981721692799410283311174810685812070256377691435184515395329118255936440091656640887454063069247447154475537210596453702228004358494546468783134489339524930426800857543892722491771600215115803478081710982407592082647057159985299589925263067972924830430422129793570296772574311741908242382050657478927805547434794956832048821746775538450703772268453600706338201491602125427242540823491354809614841718659267832810032415302883948689348140563210838119391333911753606339213062841238685667272962}
15075   368746173235519492933088194752082124349181037252241609930865395: {30146,497013,737989,858021,1054270,1265124,1279505,1506100,1535406,1807320,1821413,1848813,1927808,2033235,2168784,2439882,2657301,2739646,3893029,3913780,3979505,4000461,4625421,4636324,4696536,4775406,5283603,5561470,6057493,6623320,6670581,6673764,7451235,7559345,7763789,7947984,8085813,8450705,8614941,8941482,9071214,9785045,10140846,10197141,10251142,10466849,10722813,11063955,11139646,11160213,11333374,11742054,11801552,12265621,12629297,12885905,12990741,13137094,13171375,13276746,13327445,13858701,14209445,14427493,14525917,14637813,15387541,15414981,15463086,15805650,15845901,15913780,15992934,16448181,16789006,16846805,16859360,17051334,17135061,17410246,17604389,17723045,18345886,18418821,18584093,18816250,18861829,18966780,19016061,19034705,19096536,19179556,19271661,19441941,19762372,20216166,20231232,20327902,20712517,20751310,20781421,20970141,21113902,21267654,21483603,21949006,22237701,22579500,22648097,22743213,22760136,22824382,22827381,22841646,22950245,23383505,23390254,23508484,24084800,24756621,24871780,24901572,25013149,25544405,25552126,25605153,25681169,25758141,25975505,26040454,26093816,26561542,26945470,26965861,26993374,27095400,27195869,27365789,27540294,27750813,28060206,28069909,28231960,28246821,28332853,28337573,28412164,28575821,28577013,28633822,28901760,29039860,29355543,29411345,29483061,29589310,29846136,30482325,30653286,30828544,30955237,31046884,31170606,31547045,31760955,32016244,32216789,32265213,32334564,32398805,32514480,32606260,32824145,32997021,33576903,33878352,34145629,34682112,34731173,34750429,34847832,34945445,34947075,35100213,35180781,35293614,35422341,35507172,35733070,36023677,36578790,37057745,37187806,37276880,37306321,37306822,37782772,37856454,37900145,37945060,38011853,38113146,38604017,38826461,38878566,39017376,39019821,39127512,39203811,39388974,39416541,40054846,40099870,40424134,40736293,40898693,40905460,41008702,41419462,41509037,41856244,41862813,41934534,41936490,42047921,42275549,42371134,42828484,42879684,43038213,43409528,43740861,43894548,43914286,44018451,44469294,44597013,44674701,44732256,44811172,44945629,44954917,45276797,45480174,45534072,45634534,45694253,45769395,46177606,46339846,46355717,46434193,46454901,46658405,47304964,47484245,47606933,48069213,48119844,48273149,48779470,48820688,48834213,48835719,49086552,49131605,49611142,49643470,49672941,49911509,50323788,50363345,50432901,50470013,50503732,50848174,50878253,51114813,51225831,51422789,52065317,53009854,53073861,53155726,53224805,53295460,53373813,54181336,54371941,54487375,54495213,54807814,54923274,55131502,55222371,55393582,55725502,55982013,55990086,56174789,56260613,56721813,56981094,57232829,58267581,58492145,58518214,58535364,58570246,58583860,58763326,58853661,58894805,58957926,59170660,59203541,59365221,59572164,59584101,60208657,60384813,60436014,60561286,60774502,60954003,61088389,61303205,61444789,62489837,62607517,62841381,63133486,63133774,63200301,63387493,63434182,63768229,63869766,63954552,64015960,64221310,64369937,64463422,64494245,64512277,64647646,64985901,65384850,65412213,65716661,66120541,66199780,66284792,66661189,66752881,66961726,67138136,67414035,67578520,67749694,67785124,67801755,68938342,69237605,69276532,69349461,69375053,69627813,69658372,69743840,69944101,70020574,70190574,70252701,70300632,70673766,70818886,70873060,71004792,71198705,71248133,71589845,71704996,71907262,71908304,71948871,72017955,72058997,72132004,72321872,72337924,72343141,72455029,72458781,72711646,72732813,72825195,72981349,73563846,73839454,74089155,74216302,74286694,74316484,74317745,74570391,74602606,74708061,75114213,75519501,75523462,75530403,76025835,76797213,76819152,77028005,77065572,77174597,77393094,77532981,77680208,77733141,77781877,77910001,77967389,78461820,78527374,78554164,78580942,78674029,78730246,79019197,79028432,79088211,79392741,79439249,79439736,79556641,79607860,79722861,79859703,79880391,80130712,80512701,80566013,80709621,80716375,80869205,80896842,81094224,81362106,81364461,81427061,81530302,81690981,82006372,82147101,82346641,82395605,82731813,82776305,83085126,83173669,83187364,83345933,83443821,83671780,83676449,83692608,83702013,83925982,84091822,84281541,84433112,85047672,85052945,85438446,85907814,86050756,86060941,86326341,86421546,86580213,87180166,87276381,87390234,87438622,87528813,87778270,88201375,88303774,88409301,88705246,88774275,88818545,88853533,88875502,88906986,89160261,89181294,89369703,89439310,89707997,89721213,89821966,89897542,89941205,89955844,90147051,90507459,90620260,90687845,90713661,91020517,91097470,91223139,91231002,91462421,91720829,92014054,92097694,92234854,92353780,92433606,93046101,93289745,93900046,94029905,94154184,94380621,94424452,94470181,94472902,94692560,94987251,95071075,95223813,95230270,95400454,95464973,95529432,95678631,95883149,96757444,96859650,97006097,97043046,97074141,97902213,98051789,98201509,98440942,98656372,98805845,98874726,99018501,99135501,99331566,99369213,99460901,99511960,99916769,...,3422196685285931763837776850088702619651030161809429725155714080395287050357405299002842379888038645871338247706480774738544076711706578471215041727120208790619244995371371214343450253865127329179030274362566472225107893246870528489852464615366182046513430799320433473776214922104068841306023319262907511431861680319047757190551113918323329041618537304475366749265812886292791536479606483081006273823115178731653014239862383743346293401726430182565577197584716697423607677328280797135159297300097468597516275631160876587586509039714500251332328835217325006654502485215216526419942132736086120944131110822917211523576902494078553888862022642955141057900822418087759320156529023118078004042703958470592247174674477640063995475330961622428838423501078910314409625001274164186679850064925994998010096317270239636859180622090812063619323287830363396535190324832191930830855774295327927173952807162838016409653908738519212678895982059352252279760162483441983970657323176886571874420602695630365317523927936142169837915853856108528451408427095172480625359767479801984369648183863091297222999398186712538392256673466659612800977514418292460721345497244262450946944311779979359108209802073623789001106683067859422565000641697321761653974916954508913296501702469968781187322260750341060732283160185183346383366372668299326781602389729991671872874234968451952039743232999415658990306149101949068774156648942679212970929172551542119520786628219553180223647735256164264826848666214621841150673912067394047557293690221828156014184898053019216464771589188308719121537202821900327828409325287617936240701590758603786307441564329501294497509386696887817099680047206244377794909638806390125329801003731278569204619813786087379164886244669211235658462734671571642936369121100381726251159887609504132497595847385246801623242562718285051994841092814094297755450178252135542835739955088072589771895005719671998815041139814804483128972582539199115424966762216028718105384566537152776773092993677383904660137484961331181094603871170731713305815894680553342006537741819703174701734009287395640201286315839083737657400322673705217122566473611388123970585739977949384887894601959387245645633194690355445158861467612862363573075986218391708321152192435248073232620163307676055658402680401059507302237403188140863811235237032214422262577988901749215048622954325923034022210844816257179087000867630409508819594261858028500909443}
15076   370412061976375709607115467064281763177716532863086806146931648: {45219,346219,391586,662684,886003,1144028,1292666,1581405,1601683,1686832,1831586,1882625,1897686,2046643,2047208,2259150,2303109,2409760,2465084,2666563,2710980,2891712,2931163,3253176,3458419,3543068,3659823,3796538,3895819,4109469,4331419,4506746,4678603,4892225,5197219,5283403,5333948,5795405,5870670,6141283,6167228,6262048,6367208,6482419,6567523,6623546,6954486,7044804,7163109,8087083,8197538,8279150,8342205,8505043,8894108,8898352,9066938,9418219,9932738,9934980,10010646,10326358,10597312,10781084,11056219,11486588,11783923,11921976,12094952,12337826,13412223,13521128,13596188,13606821,14297084,14324083,14751940,14880284,15211269,15220346,15376713,15489403,15656072,15724706,16180819,16562419,16562426,16709469,16866403,17000061,17320988,17613081,17621323,17702328,17729186,18145483,18478268,18558266,18740203,19383746,19477123,19517084,19705641,19892225,19915119,20351923,20553308,20617448,20641219,20860538,21001219,21023906,21074200,21127868,21323912,21513146,21644683,21715819,21786883,21930908,22735112,22832089,22844203,22846748,23194629,23457146,23708475,23870670,23974445,23989401,24261026,24433963,24558428,24702965,24901538,24910243,25180819,25183509,25289040,25354748,25462048,25577001,25584523,25695548,25852219,25922588,26115369,26450323,26582443,26911483,26954888,26974976,27282938,27518829,27823219,27912506,27960188,28224375,28356872,28450170,28644804,28769334,29038003,29385605,29643558,29650268,29729419,29787386,30106000,30324249,30324284,30346848,30436508,30455528,30491853,30596803,30658219,31089725,31126965,31670853,31901481,31931323,32101826,32229763,32560826,32617270,32923509,33008828,33055819,33202096,33322946,33405523,33694963,33869250,33925219,34140204,34236573,34262469,34344188,34722043,35085381,35115163,35262726,35289950,35515205,35560123,35835883,35890819,35945683,36127200,36299825,36720392,37001084,37027843,37307670,37352358,37413608,37452643,37662428,37715803,37820066,37983337,38081203,38102684,38328189,38535680,38808605,38852323,39060681,39140724,39310748,39357403,39436538,39794848,39842313,40020305,40310906,40418205,40490061,40643100,40733323,40757825,40871048,40973083,41258419,41310441,41560808,41831273,41914123,42090309,42347940,42618246,42718102,42826363,42871219,42950733,43020284,43045538,43094419,43112752,43315819,43352640,43559790,43709803,43996028,44226043,44353483,44383965,44438083,44463938,44604986,44648323,44769204,44815219,45171136,45186523,45268243,45308066,45792403,45871963,45979929,46242816,46463776,46564538,46570326,46575043,46596100,46755909,46800284,46907708,47030803,47058152,47228465,47229788,47257538,47342896,47365819,47395706,47408669,47431325,47695003,47783549,47875363,48024366,48264541,48440419,48475123,48501846,48771720,48909390,48953419,49253443,49417603,50056243,50087419,50242219,50425603,50475272,50576443,50817528,51104563,51131825,51133219,51303643,51526843,51691219,51838088,51853003,51959419,52023168,52026428,52170016,52194643,52246123,52271748,52320305,52518632,52539386,52555388,52940421,53215243,53260758,53283283,53535605,53599605,53741419,53968723,54029203,54148219,54261910,54264643,54598363,54790819,54868185,54875419,55180483,55211083,55345219,55359763,55635523,55781709,55817084,55870819,55912712,55915320,55960233,56013965,56038219,56100643,56245363,56281219,56324419,56357683,56486203,56513419,56652523,56674158,56702419,56736763,56740219,56756419,56784681,56785723,56810419,56818843,56819923,56821003,56821363,56917590,57093026,57169719,57172912,57384284,57729146,57999193,58317849,58321148,58526064,58613666,58691268,58745869,58990586,59083461,59131205,59292392,59462684,59566268,59643008,60082269,60149805,60237626,60361538,60636201,60640232,60712096,61025860,61358190,61513053,61592738,61939868,62129193,62324546,62784366,62901801,62904735,62919766,63129665,63281638,63292226,63556701,64011938,64092284,64159792,64242726,64319526,65112284,65114292,65199938,65448736,65841822,65871429,66230588,66490106,66619325,66703941,67098384,67216758,67231109,67243868,67417466,67726670,67970182,68153084,68220261,68301108,68451801,68677538,69149878,69266409,69357506,69509769,70114373,70765148,70923938,70957446,71165084,72179766,72462146,72660284,73112738,73169205,73229825,73231032,73629828,73650938,73878973,73963325,74416713,74465205,74479493,74610626,74642684,74653448,75485682,75629084,75755598,75767738,75974792,76272261,76907426,77690108,78047152,78231866,78433466,78471548,78610568,78934946,79153628,79429552,79445468,79514781,79733589,79943190,80019950,80319938,80513084,80581352,81272004,81678454,81772538,82154426,82211721,82344506,82384911,82697253,82722938,82749725,82855990,83090373,83099066,83192738,83588253,83788508,83922670,83985129,84029306,84267068,84473150,84731405,85159688,85272736,85471641,86025146,86368126,86595665,86647868,86821538,87053549,87072965,87179800,87216284,87777321,87779066,87803046,87855369,87875790,88144989,88436889,88591325,88634426,88755990,88972538,89358246,89631245,89885380,90165005,90402340,90422405,90654021,90841929,91018037,91161753,91911866,92465948,92837084,92895605,93464186,93587432,93670268,93734176,93876289,94218746,94231688,94516538,94673056,94700229,94700661,95151273,95250938,95804649,95899586,95931828,96023940,96243953,96325538,96331965,96606626,96611708,96695133,96971469,96977084,97100260,98077275,98085128,98192705,98641346,98785540,98967866,99299670,99416086,99427188,99509825,99532069,99610748,...,4562928913714575685117035800118270159534706882412572966874285440527049400476540398670456506517384861161784330275307699651392102282275437961620055636160278387492326660495161619124600338486836438905373699150088629633477190995827371319803286153821576062017907732427244631701619896138758455074697759017210015242482240425397009587401485224431105388824716405967155665687750515057055381972808644108008365097486904975537352319816511657795057868968573576754102930112955596564810236437707729513545729733463291463355034174881168783448678719619333668443105113623100008872669980286955368559922843648114827925508147763889615364769203325438071851816030190606854743867763224117012426875372030824104005390271944627456329566232636853418660633774615496571784564668105213752546166668365552248906466753234659997346795089693652849145574162787749418159097717107151195380253766442922574441141032393770569565270409550450688546205211651358950238527976079136336373013549977922645294209764235848762499227470260840487090031903914856226450554471808144704601877902793563307500479689973069312492864245150788396297332530915616717856342231288879483734636685891056614295127329659016601262592415706639145477613069431498385334808910757145896753334188929762348871966555939345217728668936626625041583096347667121414309710880246911128511155163557732435708803186306655562497165646624602602719657643999220878653741532135932091698875531923572283961238896735389492694382170959404240298196980341552353102464888286162454867565216089858730076391586962437541352246530737358955286362118917744958828716270429200437104545767050157248320935454344805048409922085772668392663345848929183756132906729608325837059879518408520167106401338308371425606159751714783172219848326225614980877950312895428857248492161467175635001546516812672176663461129846995735497656750291046735993121457085459063673933571002847390447653273450763453029193340959562665086721519753072644171963443385598820566622349621371624140512755382870369030790658236511872880183313281774908126138494894308951074421192907404456008716989092937566268978679049860853601715087785444983543200430231606956163421964815184165294114319970599179850526135945849660860844259587140593545148623483816484764101314957855611094869589913664097643493551076901407544536907201412676402983204250854485081646982709619229683437318535665620064830605767897378696281126421676238782667823507212678426125682477371334545924}
15077   372085416403407367887204415918124367134629080687178794529922424: {15077,60292,587379,828355,994026,1430035,1475978,1716042,1791307,1938999,2108540,2152579,2530248,2559010,2747379,2846529,3012200,3070812,3081355,3388725,3614640,3642826,3697626,3855616,4066470,4337568,4428835,4879764,5314602,5479292,5571307,5694807,6667435,6760119,7410283,7709035,7786058,7827560,7951399,7959010,8000922,8752579,8806005,9175387,9250842,9272648,9393072,9550812,9935319,10431729,10567206,10583083,10977427,11117635,11122940,11698243,11830987,11995387,12114986,12296307,12418725,12779467,13246640,13341162,13347528,13476355,13500283,13600407,13679479,13699063,14157259,14358235,14899107,14902470,15015969,15118690,15489537,15527578,15895968,15971923,16171626,16901410,16995235,17229882,17871355,17882964,17933443,18040267,18142428,18439925,18506739,18600355,18658423,19570090,19893223,20281692,20394282,20502284,20805187,20869783,20933698,21445626,21651235,21963019,22127910,22279292,22320426,22498003,22666748,22830519,23097835,23484108,23585527,23587059,23603104,24396355,24467239,24531242,24812263,24843639,25258594,25312579,25691635,25771810,25981482,26189707,26274188,26342750,26409835,26553492,26593779,26648587,26654890,27413635,27704203,27717402,27837399,28418890,28558435,28702483,28713187,28854986,29051834,29075619,29275626,29312503,30395383,30698035,30775082,30829962,30926172,31290807,31535859,31611300,31691802,31693435,31827560,31985868,32119435,32130343,32221123,32269719,32341387,32403235,32543863,32558059,32736907,32896362,33097447,33246883,33369067,33489859,33578012,33693610,33718720,34102668,34270122,34293979,34755667,34820492,34950235,35185719,35208778,35418919,35446090,35762167,35806005,36365707,36391539,36409879,36691772,36784567,36837642,37062835,37168186,37352307,37632500,37723658,37905355,37933560,38032122,38045635,38069410,38074387,38193072,38359112,38543322,38883882,38980183,39323563,39524744,40432332,40462464,40655804,40924407,41119843,41175883,41261035,41266363,41279587,41425034,41502620,41562842,41868759,41940282,42057163,42227804,42535308,42675255,42916123,42930235,42967206,43154001,43779763,43782667,43784323,43898012,44165863,44465337,44475402,44681079,44923099,44962999,45159000,45296194,45358327,45486426,45520272,45648764,45654762,45683292,45782683,45900490,45932947,45953803,46019479,46251355,46767010,46780508,47016968,47078035,47222179,47249143,47628355,48152739,48169600,48279643,48334819,48445723,48778627,48841239,48923623,48925905,49138435,49233643,49513242,49552663,49743560,49803144,49841143,49984419,50026298,50603479,50794579,50803875,51088810,51104252,51210306,51317467,51362338,51516282,51880843,51951010,52080908,52187632,52894089,52934925,53060203,53112307,53123084,53360119,53775355,53793067,53830243,53890940,53931722,53952343,53986748,54002299,54190800,54391738,54541603,54731578,54995035,55080588,55501626,55513063,55826359,55827043,55961505,56028537,56120412,56139818,56262739,56463920,56493642,56498563,56665706,56675146,56730099,56824328,57130579,57151642,57154026,57180967,57267644,57737083,57803520,57845419,58079720,58245125,58308247,58500355,58634635,58711086,58729747,58822690,58966122,59037235,59101303,59154807,59178620,59339863,59412403,59646379,59692272,60217723,60466359,60772387,60964650,61306572,61657088,61859479,61910474,62093768,62341212,62612983,63094090,63521910,63927369,63966103,64032488,64059523,64077153,64433578,64530426,64568307,64669128,64797610,65028960,65033035,65212520,65233963,65321767,65339685,65493523,65648290,65694235,65941843,65994042,66157387,66388387,66477943,66695907,66907479,67153806,67756704,67798723,67962099,68291258,68784247,68809243,69138259,69364224,69462346,69500858,69613147,69630679,69695664,69696979,69771355,69846807,69855489,69890890,69894150,70200426,70361562,70508683,70587228,70599283,70633783,70844682,70867963,70886307,71014344,71064823,71093559,71466140,71730355,72033079,72036549,72047354,72752769,72901435,73157580,73364085,73554427,74115490,74328355,74375612,74457835,74514727,74553760,74612642,74613644,75047767,75565544,75712908,75800290,75890120,76023706,76068199,76226292,76282325,76995907,77028583,77184979,77208034,77411767,77424835,77652922,77757132,78034752,78036883,78039642,78255024,78392179,78407622,78468787,78777948,78809079,78833082,79425739,79882819,79891137,80109692,80115355,80199740,80577079,80848268,81390355,81392865,81472586,81504643,81797386,81810920,81889003,81988699,82017404,82094083,82108459,82452727,82496983,82788235,82838924,83018074,83665879,83712488,83725626,83869068,83872980,84054835,84095842,84202339,84348067,84551098,84742268,84843763,84898003,85011237,85191355,85376385,85639539,85656968,85759368,85824487,86076426,86593719,86791987,86819056,87140023,87360823,87465067,87481722,87758227,87789096,87828572,87920499,87941239,88036902,88456435,88485879,88785043,88938588,88956355,89194026,89349402,89464512,89622344,89817079,89891258,89909834,90291943,90356439,90542307,90553594,90825355,90944683,90960348,91068144,91269068,91388506,91538790,91961683,92037285,92142439,92355212,92389107,92679692,92711434,92868386,92909802,93303355,93316810,93486819,93490903,94176549,94379649,94536355,94609928,94922457,94938339,94968490,95163667,95213866,95214379,95776123,96017907,96138426,96144439,96239688,96364089,96479289,96546298,96932647,97112635,97282903,97558940,97566643,97641376,97668426,97671438,97799907,98065363,98089435,98173104,98263210,98369623,98499739,98762733,98942035,99222284,99286940,99306835,99345882,99678187,99735159,99823018,...,6844393370571863527675553700177405239302060323618859450311428160790574100714810598005684759776077291742676495412961549477088153423413156942430083454240417581238489990742742428686900507730254658358060548725132944450215786493741056979704929230732364093026861598640866947552429844208137682612046638525815022863723360638095514381102227836646658083237074608950733498531625772585583072959212966162012547646230357463306028479724767486692586803452860365131154395169433394847215354656561594270318594600194937195032551262321753175173018079429000502664657670434650013309004970430433052839884265472172241888262221645834423047153804988157107777724045285910282115801644836175518640313058046236156008085407916941184494349348955280127990950661923244857676847002157820628819250002548328373359700129851989996020192634540479273718361244181624127238646575660726793070380649664383861661711548590655854347905614325676032819307817477038425357791964118704504559520324966883967941314646353773143748841205391260730635047855872284339675831707712217056902816854190344961250719534959603968739296367726182594445998796373425076784513346933319225601955028836584921442690994488524901893888623559958718216419604147247578002213366135718845130001283394643523307949833909017826593003404939937562374644521500682121464566320370366692766732745336598653563204779459983343745748469936903904079486465998831317980612298203898137548313297885358425941858345103084239041573256439106360447295470512328529653697332429243682301347824134788095114587380443656312028369796106038432929543178376617438243074405643800655656818650575235872481403181517207572614883128659002588995018773393775634199360094412488755589819277612780250659602007462557138409239627572174758329772489338422471316925469343143285872738242200763452502319775219008264995191694770493603246485125436570103989682185628188595510900356504271085671479910176145179543790011439343997630082279629608966257945165078398230849933524432057436210769133074305553546185987354767809320274969922662362189207742341463426611631789361106684013075483639406349403468018574791280402572631678167475314800645347410434245132947222776247941171479955898769775789203918774491291266389380710890317722935225724727146151972436783416642304384870496146465240326615352111316805360802119014604474806376281727622470474064428844525155977803498430097245908651846068044421689632514358174001735260819017639188523716057001818886}
15078   373766269705666501546863342400620088213483502717588199231095344: {75365,90438,256037,692438,706457,783172,916037,1325368,1491039,1631621,1772006,1898777,1958057,2076521,2213967,2224421,2288056,2574063,2585332,2635675,2696357,2843417,2960921,3136937,3162810,3203366,3371177,3373664,3663172,3721577,3765250,3795372,3808997,3838515,4093286,4094416,4157957,4518300,4534697,4592537,4606218,4819520,4881257,4930168,4967717,5111657,5333126,5421960,5464239,5546439,5570921,5783424,5862326,5999621,6099705,6170597,6426521,6506352,6568421,6681797,6849115,6916838,7086136,7105817,7319646,7584197,7593076,7791638,7864517,7971903,8113567,8218938,8662838,8672921,8922437,9013492,9116057,9254117,9336857,9357206,9502121,9749477,9784450,9941417,10187621,10394438,10566806,10667896,10759577,10840997,11381957,11590810,11679087,11741340,11785577,11812421,11938515,12001383,12187397,12282566,12334456,12507557,12524096,12734416,12964838,13012121,13135046,13144421,13247092,13697897,13876263,13903675,13908972,13960217,14038757,14089608,14326218,14352197,14716421,14975621,15850809,16174166,16285097,16395076,16558300,16666277,16684410,17010086,17121317,17272421,17648921,17774021,17788216,17796704,17873957,18133876,18148121,18172479,18172997,18247577,18742937,18836438,18915557,19136921,19259621,19504421,19772777,19865476,19869960,19870121,20011743,20021292,20137157,20209817,20499737,20652716,21194624,21314921,21562168,21576677,21671621,21813797,21884777,22002917,22112438,22238597,22353705,22356137,22678035,22707557,22973176,23219717,23289257,23291367,23567846,23751017,23843952,24026537,24189904,24257439,24596837,24675652,25049477,25117097,25352115,25386857,25610777,25627855,25844823,25922921,26476421,26824446,26915621,27042256,27192376,27213642,27242921,27373337,27654917,27849115,27913637,28106921,28333435,28594168,28648166,28725317,29063621,29253017,29355135,29357957,29503880,29760568,29796521,29983397,30231557,30314021,30422538,30440692,30591423,30753426,30806117,30846917,30978806,31030121,31111337,31212677,31312144,31400547,31449412,31756457,31836521,31956377,32168439,32353817,32361638,32649797,32842735,33002597,33124838,33124852,33191865,33197477,33294617,33410921,33418938,33480639,33564223,33719657,33732806,33892421,34000122,34159877,34274021,34349957,34387877,34584151,34641976,34727717,34859177,35226162,35242646,35404656,35458372,35473637,35951621,35969897,36290966,36568517,36604517,36796863,36837737,36956536,37116532,37211621,37300121,37458917,37480406,37739621,37844357,37887891,37931417,38449577,38500997,38620697,38657715,38767492,38858921,38875877,38954246,38972223,39034168,39263657,39364121,39380837,39411282,39514125,39614021,39784450,39830238,39982335,40173797,40206437,40450217,40514921,40703846,40740377,40756421,40996121,41106616,41139847,41170757,41234896,41282438,41375897,41564057,41576103,41721076,41972515,42002438,42047812,42148400,42167621,42255736,42305177,42563237,42608537,42628335,42647824,42698921,43012997,43026292,43282479,43289366,43431638,43455557,43525615,43573766,43577751,43645097,43717637,43732121,43804421,43861816,43913439,43934057,44361497,44446121,44460197,44670377,44947817,45002921,45208421,45276521,45470224,45664178,45688406,45693496,45760937,45800837,45814121,45864715,45893657,45959717,46162623,46244943,46274021,46325957,46389258,46596521,46660421,46914292,46926617,47040625,47114597,47276057,47300777,47416950,47485157,47537703,47716121,47741340,47884457,47896421,47948890,47978802,48145817,48321797,48484421,48495977,48522052,48656921,48867926,48895397,49116856,49274021,49344543,49405930,49436959,49503257,49721287,49803076,49820486,49919621,49972121,50066117,50221337,50323817,50361638,50367018,50384921,50435621,50445737,50540415,50578080,50586521,50709496,50819755,50924096,51114857,51154002,51169046,51229097,51391096,51405183,51491177,51647237,51704438,51809957,51845176,51863621,51878275,52179557,52230738,52256921,52333637,52468421,52584677,52784755,52788377,52804457,52813167,52900646,52908197,53002757,53164886,53169135,53226521,53234117,53256857,53294597,53302121,53405143,53458277,53589317,53603717,53815877,53822966,53884997,53909776,53946521,53949952,53987177,54007397,54047621,54080921,54140357,54237977,54332047,54427817,54501737,54556421,54565876,54580517,54669737,54704921,54872515,55037658,55072937,55088837,55120421,55167257,55192997,55228697,55256463,55298921,55343237,55391717,55444121,55490921,55514021,55532357,55646438,55648421,55652777,55691621,55717157,55752279,55825012,55860377,55911077,55920376,56028427,56062121,56114021,56117417,56134277,56147621,56231237,56261957,56277017,56349317,56371397,56387621,56426921,56437097,56442137,56448750,56449637,56471467,56502437,56509337,56520677,56536217,56542757,56566121,56585487,56586521,56615621,56666777,56668421,56685977,56692121,56705477,56713744,56728937,56745317,56788997,56801177,56829797,56833817,56834021,56836037,56836421,56836517,56900340,57048183,57060955,57104115,57289608,57538668,57814983,58076006,58325823,58475635,58771210,59287116,59300536,59458838,59574772,60212000,60648498,60648568,60693696,60873016,60911056,60983706,61193606,61316438,62137551,62179450,62253930,62344263,62910423,63341706,63802962,63862646,63880315,64203652,64450809,64459526,65101135,65121652,65234540,65847018,66017656,66111638,66119851,66403855,66404192,66645892,66713103,66811046,67363675,67389926,67483435,67738500,67850438,67944291,68229639,68280408,68473146,68482143,68524938,68688376,68850735,69444086,70150515,70170762,70230326,70525452,70579900,71030410,71120246,71584555,71671766,71781638,71891366,72254400,72599650,73248427,73440784,73973275,74002168,74055686,74269863,74615340,74704716,74827216,74905286,74949847,75039447,75324856,75431606,75640132,75966674,76162406,76205368,76633215,76656378,76815459,77043507,77071360,77274423,77617210,77704646,77926515,78112639,78121362,78281448,78419551,78621496,78714806,78873076,79454947,79589696,79684626,80040610,80621812,80836410,80897583,80980122,81286200,81466646,81515650,81587607,81742096,81946166,82097367,82516838,82620882,82783687,83121616,83252439,83662546,83828246,84180618,84209727,84695880,84740463,84998559,85012719,85236492,85436204,85652726,85727463,85731039,85742438,85901466,86040568,86091076,86188838,86225504,86631638,86705280,87119580,87419606,87992056,88021219,88066629,88234035,88381531,88449183,88452086,88706966,88767930,88876166,88927876,89209972,89296646,89332675,89538408,89630438,90342272,90373046,90536486,90616132,91446975,91584806,91743926,91959858,92485632,92865711,92927552,92969515,93129076,93140652,93150086,93192200,93267055,93511818,93600568,93815416,94061606,94116304,94456930,94459576,94515076,94641135,94685792,94731638,94791412,94817338,94862650,95282865,95390006,95567098,95750726,96048732,96529082,96650367,96795639,96880838,96950246,97003692,97196415,97295143,97543440,97818780,97906838,98472435,98506886,98835206,98991063,...,10266590055857795291513330550266107858953090485428289175467142241185861151072215897008527139664115937614014743119442324215632230135119735413645125181360626371857734986114113643030350761595381987537090823087699416675323679740611585469557393846098546139540292397961300421328644766312206523918069957788722534295585040957143271571653341754969987124855611913426100247797438658878374609438819449243018821469345536194959042719587151230038880205179290547696731592754150092270823031984842391405477891900292405792548826893482629762759527119143500753996986505651975019963507455645649579259826398208258362832393332468751634570730707482235661666586067928865423173702467254263277960469587069354234012128111875411776741524023432920191986425992884867286515270503236730943228875003822492560039550194777984994030288951810718910577541866272436190857969863491090189605570974496575792492567322885983781521858421488514049228961726215557638036687946178056756839280487450325951911971969530659715623261808086891095952571783808426509513747561568325585354225281285517441876079302439405953108944551589273891668998194560137615176770020399978838402932543254877382164036491732787352840832935339938077324629406220871367003320049203578267695001925091965284961924750863526739889505107409906343561966782251023182196849480555550039150099118004897980344807169189975015618622704905355856119229698998246976970918447305847206322469946828037638912787517654626358562359884658659540670943205768492794480545998643865523452021736202182142671881070665484468042554694159057649394314767564926157364611608465700983485227975862853808722104772275811358922324692988503883492528160090663451299040141618733133384728916419170375989403011193835707613859441358262137494658734007633706975388204014714928809107363301145178753479662828512397492787542155740404869727688154855155984523278442282893266350534756406628507219865264217769315685017159015996445123419444413449386917747617597346274900286648086154316153699611458330319278981032151713980412454883993543283811613512195139917447684041660026019613225459109524105202027862186920603858947517251212972200968021115651367699420834164371911757219933848154663683805878161736936899584071066335476584402838587090719227958655175124963456577305744219697860489923028166975208041203178521906712209564422591433705711096643266787733966705247645145868862977769102066632534448771537261002602891228526458782785574085502728329}
15079   375454655218563542401962693885393298353573007209655411907174449: {30154,120584,135657,978965,1038657,1159697,1174758,1656710,1988052,2002049,2543957,2658009,2860070,2951956,3231665,3432084,3582614,3877998,4217080,4305158,4313897,4578965,4744215,4805049,5060496,5118020,5494758,5647875,5693058,6024400,6117617,6139929,6141624,6162710,6200369,6777450,6909327,7229280,7285652,7395252,7711232,7921337,7999689,8132940,8282081,8675136,8793489,8857670,9334409,9491345,9759528,10343957,10375257,10629204,10792649,10958584,10979469,11142614,11266865,11389614,11687457,12268889,12328407,12994257,13334870,13406609,13520238,14035809,14431337,14676675,14820566,14847857,15418070,15564689,15572116,15591657,15655120,15850209,15902798,15918020,16001844,16108949,16166657,16558865,17386215,17505158,17612010,18350774,18423849,18501684,18545296,18786144,18866897,18875909,19101624,19447257,19702569,19870638,20101529,20122169,20493845,20697875,20863458,21134412,21166166,21194069,21489327,21954854,22235270,22245880,22667345,22826441,23396486,23661974,23793329,23990774,24229972,24261249,24592614,24664289,24831845,24837450,25019897,25026615,25156457,25515129,25558934,25815895,26040497,26493280,26588549,26682324,26695056,26952710,27000566,27200814,27358958,27398126,28254657,28314518,28716470,29111969,29270849,29640017,29798214,29804940,30031938,30237380,30311729,30844565,30963521,30979074,31055156,31791936,31943846,32091209,32336969,32343252,32548241,32707889,33168657,33802820,33990470,34146257,34154897,34459764,34642049,35263049,35351769,35742710,35765928,35866886,35968289,36080534,36284856,36659081,36879850,36973769,37013478,37158281,37200710,37316846,37472129,38050865,38079509,38379089,38460929,38844569,39140180,39306377,39311765,39786446,39981809,40236669,40431269,40563384,40788564,40820463,41004568,41406065,41610374,41739566,41867396,42891252,42972249,42977249,43029857,43125689,43302470,43607609,43926038,44109857,44255820,44322965,44370809,44558584,44640852,44646689,44957657,44967209,44996006,45333496,45364529,45633807,45661038,46067489,46130139,46136009,46195670,46395665,46468209,46799057,46968216,47171054,47174118,47206208,48459365,48542457,48785189,48792710,48930329,48933569,48934478,49062484,49624526,49687257,49687278,50128407,50478881,50517188,50599209,50625158,50808929,51000183,51168881,51383270,51543620,51745109,51887969,51962964,52151345,52379414,52548376,52559765,52685500,52819670,52839243,52863969,53067497,53106984,53187558,53263889,53270537,53297174,53309780,53657417,53782865,53959601,54386657,54436449,54517289,54607817,54827270,54961409,55408406,55434804,55654997,55674798,56220609,56837780,56932529,57116870,57202169,57404966,57426374,57709972,57765449,58103668,58151238,58431369,58551252,58625006,58642865,58903169,59116923,59676675,59745357,60029957,60102329,60652565,60721637,60790766,61055769,61104737,61396070,61550164,61659924,61852344,61923657,62253845,62310569,62418149,62581614,62583089,63003657,63071718,63222600,63383604,63386870,63655120,63971736,64238870,64260686,64376729,64442246,64529681,64539438,64682774,64735457,64751897,64806470,64934049,65087726,65116118,65147457,65360649,65473814,65639129,65792724,65909249,66194894,66493766,66679697,66717701,66738134,66771029,66979718,67156024,67302161,67387220,67437440,67517957,68205336,68207345,68496267,68532609,68540244,68587958,68688329,68793809,69511334,69583887,69640984,69732857,69781265,69900470,70128929,70370849,70371438,70417556,70643441,70837838,70892180,71101769,71125425,71524334,71612010,71923335,71968203,71991041,72271289,72474497,72510857,72731414,72783078,72819758,73066649,73106657,73301889,73383544,73569134,73675284,73940609,74108895,74125670,74336372,74468465,74704614,74730729,75265000,75285497,75447316,75542457,75550527,75706709,75810710,75867120,76064244,76091270,76138820,76148774,76386144,76450529,76718224,76731003,76749989,76753569,76993049,77086644,77556657,77767764,77802929,77931269,77960366,78047381,78093809,78346107,78647126,78905081,79049488,79350969,79747329,80254565,80734449,80864664,80924928,81049541,81311608,81402065,81464657,81543175,81848814,81900497,82088489,82207889,82239686,82351766,82369157,82508081,82522070,82532726,82556487,82559174,82652129,82850068,82891337,83005240,83020169,83125684,83196017,83307365,83418737,83469657,83476289,83736761,83737518,83880564,84114326,84455608,84673125,85070616,85350510,85404329,85705121,85832246,85860470,85934412,86054249,86308002,87114009,87292229,87559526,87565334,87568646,87700409,87796024,88156815,88224875,88331726,88930674,88950804,88985849,89039369,89188257,89362158,89735249,89846198,89925998,90318000,90418457,90592388,90695057,90716654,90972747,90972852,91040544,91046249,91297528,91309524,91366584,91475559,91565366,91790409,91800980,91865894,91907606,91971929,91974657,92038958,92165417,92502710,93269175,93380895,93534020,93561016,94033936,94156070,94157009,94271369,94444358,94498286,94550165,94602569,95012559,95176469,95227457,95256710,95381009,95704443,95793969,95886209,96305478,96323669,96339200,96556097,96559286,96669638,96689289,96891446,97002809,97557254,97679897,97682478,97847246,97851810,98276870,98383241,98426261,98467286,98591345,98770527,98877857,99026484,99105326,99167457,99487120,99606288,99682286,99968838,...,13688786741143727055351107400354810478604120647237718900622856321581148201429621196011369519552154583485352990825923098954176306846826313884860166908480835162476979981485484857373801015460509316716121097450265888900431572987482113959409858461464728186053723197281733895104859688416275365224093277051630045727446721276191028762204455673293316166474149217901466997063251545171166145918425932324025095292460714926612056959449534973385173606905720730262308790338866789694430709313123188540637189200389874390065102524643506350346036158858001005329315340869300026618009940860866105679768530944344483776524443291668846094307609976314215555448090571820564231603289672351037280626116092472312016170815833882368988698697910560255981901323846489715353694004315641257638500005096656746719400259703979992040385269080958547436722488363248254477293151321453586140761299328767723323423097181311708695811228651352065638615634954076850715583928237409009119040649933767935882629292707546287497682410782521461270095711744568679351663415424434113805633708380689922501439069919207937478592735452365188891997592746850153569026693866638451203910057673169842885381988977049803787777247119917436432839208294495156004426732271437690260002566789287046615899667818035653186006809879875124749289043001364242929132640740733385533465490673197307126409558919966687491496939873807808158972931997662635961224596407796275096626595770716851883716690206168478083146512878212720894590941024657059307394664858487364602695648269576190229174760887312624056739592212076865859086356753234876486148811287601311313637301150471744962806363034415145229766257318005177990037546787551268398720188824977511179638555225560501319204014925114276818479255144349516659544978676844942633850938686286571745476484401526905004639550438016529990383389540987206492970250873140207979364371256377191021800713008542171342959820352290359087580022878687995260164559259217932515890330156796461699867048864114872421538266148611107092371974709535618640549939845324724378415484682926853223263578722213368026150967278812698806936037149582560805145263356334950629601290694820868490265894445552495882342959911797539551578407837548982582532778761421780635445870451449454292303944873566833284608769740992292930480653230704222633610721604238029208949612752563455244940948128857689050311955606996860194491817303692136088843379265028716348003470521638035278377047432114003637772}
15080   377150606424507548241433330218168575312158811911498583748137768: {45231,105511,150730,180876,286159,512074,1005871,1384876,1412914,1453351,1566344,1762137,1832074,2254279,2342911,2485065,2650736,2873191,2982078,3137359,3263242,3400879,3544012,3689945,3797554,3916114,4153042,4187551,4290105,4427934,4448842,4576112,4622071,5141119,5148126,5170664,5271350,5373921,5392714,5399671,5686834,5816997,5829151,5921842,6273874,6325620,6397525,6406732,6457737,6742354,6747328,7106791,7326344,7443154,7530500,7590744,7613311,7617994,7677030,7949551,8186572,8188832,8242137,8315914,8368231,8539587,8701879,8951359,9036600,9069394,9107065,9117319,9185074,9212436,9244065,9282991,9530959,9588761,9639040,9695911,9762514,9860336,9935434,9942799,10166175,10223314,10516351,10597999,10666252,10842511,10843920,10928478,11092878,11141842,11248591,11566848,11724652,11814079,11999242,12199410,12215839,12341194,12535951,12853042,12854911,13012704,13136842,13251991,13286505,13363594,13698230,13833676,14040751,14172272,14197639,14211634,14639292,14744479,14977759,15168394,15186152,15583276,15596671,15729034,15943806,16227134,16437876,16668679,16713921,17084421,17274919,17325676,17345842,17801599,17844874,18026984,18175639,18232114,18508234,18673714,18714412,19004242,19139719,19465145,19498954,19568900,19726951,19800031,19882834,19897525,20002305,20164351,20236999,20280357,20375242,20788876,20887591,21133612,21174871,21335792,21519154,21681994,22230849,22312471,22382959,22734319,22763914,23127105,23181620,23223199,23358174,23362231,23482680,23571154,23624842,23708551,23777599,23854197,23877030,24002766,24258919,24374794,24565132,24600559,24668912,25015114,25048192,25413151,25468832,25929676,26015791,26024242,26257737,26270092,26288842,26348071,26418015,26494184,27395794,27399271,27526161,27752526,27807350,27817944,27917959,27920434,28077514,28179216,28652436,28704394,28750999,28878079,29194519,29432842,29805957,29821999,29951242,30195031,30256951,30287465,31116271,31295187,31480231,31701618,31749249,31841599,32348332,32378791,32570194,32790152,32910151,32932281,33027439,33116600,33144439,33319399,33332554,33352905,33368820,33493711,34020172,34242634,34298599,34412431,34544842,35094729,35297842,35479471,35492961,35548042,35576432,35593408,35747914,35878997,35975839,35986161,36267752,36296242,36344958,36345994,36495154,36574591,36888921,37217839,37256175,37324039,37485874,37672876,37796725,37831114,38163271,38273842,38338401,38473231,38519242,38524639,38818945,38882479,38988761,39008842,39387559,39545554,39637399,39666809,39730952,39739920,39740242,40023486,40042584,40229671,40274314,40419634,40429065,40500849,40763479,40801221,40999474,41038437,41097189,41193751,41305432,41430271,41618191,41664991,42082951,42253525,42312631,42389248,42471777,42629842,42631159,42811591,43035511,43074705,43124336,43153354,43343242,43627594,43652911,43739959,43769554,43826719,44005834,44085271,44224876,44468239,44477194,44697321,44707410,44712274,44969791,45047907,45356070,45415114,45541831,45822559,45946352,45979829,45981391,46439434,46468611,46528231,46578514,46582734,46720111,47135692,47135911,47247799,47502034,47506351,47687904,47688871,47905519,47915769,48012871,48053074,48225631,48331039,48379808,48505279,48514878,48916111,48925225,49117639,49193674,49351304,49415071,49897831,50098954,50234194,50241559,50333791,50455759,50704230,50773714,50932111,50961271,50985705,51221554,51255710,51277279,51361951,51418039,51689646,51845842,52042351,52334245,52352959,52403719,52428991,52479319,52603879,52952842,52966759,53245399,53268151,53313439,53403151,53425399,53600791,53614065,53622391,53648892,53800329,53831242,53958199,54084512,54099319,54120801,54236911,54333031,54384752,54427284,54485842,54592591,54681871,54699511,54717079,54746674,54922279,55101271,55256431,55309834,55316479,55319775,55418791,55461559,55475671,55489711,55520217,55665679,55698230,55730119,55801065,55827274,55877431,55975269,56003359,56036191,56078959,56130799,56151031,56213842,56247871,56293591,56404039,56550199,56588431,56629759,56666870,56682679,56740711,56744671,56803639,56829991,56834959,56845039,56847631,56848999,56850511,57188336,57296332,57450634,58127242,58425497,58506034,58710270,58715914,58761521,59007760,59521136,59593042,59679669,59688101,59966794,60463114,60628042,60845076,60881384,60935861,61182846,61328105,61506852,61612234,61693834,61957612,62060242,62222674,62415561,62425354,62609349,62624288,62801094,62898824,63115169,63146485,63512914,63673042,63912754,64210601,64336878,64429525,64707634,64723276,64953705,65299594,65685470,65856875,65889057,66005194,66249676,66249704,66383730,66394954,66589234,66637225,66821842,66837876,66961278,67128446,67439314,67465612,67494009,67784842,68000244,68319754,68491557,68548042,68699914,68775754,69168302,69283952,69293505,69455434,69718354,70452324,70485292,70756581,70761177,70809312,70916744,70947274,71047225,71147657,71903242,71939794,72137465,72581932,72629585,73137034,73189065,73209034,73401717,73593726,73675474,73898657,73913072,74233064,74423242,74436789,74499337,74530917,74600242,74917834,74960812,75479242,75688714,75775782,75862834,75937737,76821521,76899154,76937705,77001994,77074905,77241394,77315430,77534984,77717842,77751754,77908492,77944446,78068336,78527314,78569121,78728242,78761674,78822564,79028250,79228042,79229505,79568900,79660476,79781337,79885337,79945761,79964670,80347594,80412874,80900434,81029842,81407692,81480754,81512842,81865889,81992242,82213232,82240905,82279694,82341514,82469792,82564876,82751794,83112609,83128114,83152206,83442152,83512197,83945030,84004876,84095624,84234025,84296800,84335242,84511472,84610354,85126474,85217074,85256670,85295648,85397842,85675305,86025994,86052584,86107449,86139561,86564958,86578732,86863276,86911114,87051230,87147532,87155502,87226857,87290194,87435274,87464242,87608842,87723632,87826878,87868114,87937509,88021945,88615225,88722994,88892242,88920394,89340754,89432441,89895634,90005842,90416842,90553042,90940448,91141589,91186149,91328356,91376812,91386992,91521874,91601674,91628242,91729430,91787314,91919434,92094105,92314937,92325246,92489886,92548042,92651914,92778516,92920465,92965397,93193042,93320842,93828584,93853234,93872421,93901301,94081250,94229194,94309145,94476809,94552114,94601554,94607577,94833900,94970314,95075406,95080305,95173525,95432242,95482680,95768914,95792842,95897780,95957604,96291634,96358305,96391029,96643594,96663369,96809157,96968842,96991954,97024161,97044104,97209705,97313842,97631589,97674177,97735852,97790794,98210721,98233712,98548042,98689086,98811860,98873918,99006514,99292341,99442574,99606152,99640972,99740649,99839242,99944242,...,20533180111715590583026661100532215717906180970856578350934284482371722302144431794017054279328231875228029486238884648431264460270239470827290250362721252743715469972228227286060701523190763975074181646175398833350647359481223170939114787692197092279080584795922600842657289532624413047836139915577445068591170081914286543143306683509939974249711223826852200495594877317756749218877638898486037642938691072389918085439174302460077760410358581095393463185508300184541646063969684782810955783800584811585097653786965259525519054238287001507993973011303950039927014911291299158519652796416516725664786664937503269141461414964471323333172135857730846347404934508526555920939174138708468024256223750823553483048046865840383972851985769734573030541006473461886457750007644985120079100389555969988060577903621437821155083732544872381715939726982180379211141948993151584985134645771967563043716842977028098457923452431115276073375892356113513678560974900651903823943939061319431246523616173782191905143567616853019027495123136651170708450562571034883752158604878811906217889103178547783337996389120275230353540040799957676805865086509754764328072983465574705681665870679876154649258812441742734006640098407156535390003850183930569923849501727053479779010214819812687123933564502046364393698961111100078300198236009795960689614338379950031237245409810711712238459397996493953941836894611694412644939893656075277825575035309252717124719769317319081341886411536985588961091997287731046904043472404364285343762141330968936085109388318115298788629535129852314729223216931401966970455951725707617444209544551622717844649385977007766985056320181326902598080283237466266769457832838340751978806022387671415227718882716524274989317468015267413950776408029429857618214726602290357506959325657024794985575084311480809739455376309710311969046556884565786532701069512813257014439730528435538631370034318031992890246838888826898773835495235194692549800573296172308632307399222916660638557962064303427960824909767987086567623227024390279834895368083320052039226450918219048210404055724373841207717895034502425944401936042231302735398841668328743823514439867696309327367611756323473873799168142132670953168805677174181438455917310350249926913154611488439395720979846056333950416082406357043813424419128845182867411422193286533575467933410495290291737725955538204133265068897543074522005205782457052917565571148171005456658}
15081   378854156953549208823169749954381448221002091217567311565314071: {60308,226095,241168,271314,768111,1370551,1731095,1957930,2077314,2119371,2319394,2349516,2748111,2814911,3313420,3976104,4004098,4430015,4473117,4524331,4894863,5087914,5316018,5696331,5720140,5874171,5903912,6229563,6410551,6463330,6641901,6673263,6864168,7165228,7229911,7722189,7755996,7907025,8008415,8089071,8434160,8530251,8610316,8627794,8754911,8853259,8882763,9157930,9410811,9413125,9488430,9610098,10113531,10120992,10233215,10236040,10989516,11164731,11295750,11386116,11426991,11515545,11998583,12048800,12235234,12279858,12283248,12325420,12400738,12473871,13287883,13332815,13554900,13604091,13777611,13818654,14161031,14458560,14571304,14643771,14655815,14790504,14903151,15334971,15422464,15773611,15842674,15999378,16265880,16392717,16564162,16630559,16639317,16712763,17219911,17292095,17350272,17586978,17715340,17998863,18299115,18511791,18591551,18668818,18982690,19279563,19479095,19519056,19705263,20045391,20547345,20687914,20750514,21258408,21317451,21527099,21585298,21657095,21917168,21958938,22285228,22489483,22533730,22752591,22779228,23182411,23374914,23393015,23593551,23915709,24340701,24461125,24537778,24656814,25986095,25988514,26018763,26417015,26669740,26767311,26813218,26976703,27040476,27206783,27348171,27762351,28010571,28071618,28348991,28506363,28691383,28720871,28862674,28977025,29248431,29320379,29353350,29641132,29695714,29824251,30562863,30641543,30706415,30836140,31119691,31129378,31144232,31183314,31260779,31310240,31700418,31734283,31805596,31836040,32003688,32217898,32278731,32333314,32412095,32522991,32837615,33117730,33816631,34145871,34745111,34764583,34772430,35010316,35029111,35037261,35224020,35356731,35437263,35815545,36004149,36030383,36142253,36562191,36701548,36794411,36847698,37003368,37062971,37090592,37522671,37572288,37733794,37751818,38203248,38466103,38894514,38990699,39036363,39405138,39411643,39433263,39741276,40203058,40244338,40435415,40987690,41093691,41395750,41628789,41711025,41726916,41876351,41880651,42116271,42268824,42292583,42332332,42388138,42525215,42978654,43056591,43182391,43574759,43791479,43794431,43909708,44149263,44470540,44491760,44926863,45334690,45652882,46452991,46792972,46808063,47091095,47323948,47552427,47586658,47725771,47981548,48459944,48522498,48855291,48955103,49185228,49328578,49663690,49674900,49789583,49998831,50039794,50053230,50312914,50490539,50898671,51030258,51117868,51363951,51443711,51631790,51817263,52080994,52129831,52946763,52986560,53177098,53271211,53322063,53364648,53390112,53621871,53644783,53905420,54001132,54401628,54444363,54517437,54518991,54524623,54556199,54717916,54742731,54796252,55036471,55281095,56197691,56228811,56283191,56509314,56629036,56746671,57146111,57196331,57410763,57432940,57778863,57968491,58223938,58323851,58513263,58541698,58745591,58751851,58919615,59280034,59318331,59537659,59596428,59609880,59610363,60035229,60063876,60411471,60474760,60623458,60629451,61256843,61499211,61689130,61862399,61927042,61958148,62052151,62110312,62629739,63207071,63413311,63583872,63887692,63944763,64182418,64536511,64673938,64686504,64704959,64730031,64953931,65014863,65096482,65310731,65415778,65441391,65654331,66008751,66337314,66558991,66715791,67061115,67068411,67097083,67605640,67843111,67865359,67980940,68034105,68122671,68292514,68309794,68919528,69284098,69403499,69659151,69867771,69874101,69972223,70467263,70526098,70618391,70703538,71253051,71277371,71485420,71531856,71620415,71733772,71936578,72079611,72161068,72213119,72569712,72772317,73011883,73156283,73318162,73574351,73583671,73759700,73790511,73947538,74026956,74316562,74401420,74633692,74647943,74944258,75148431,75224011,75296011,75307499,75351291,76056345,76101730,76159018,76160571,76758178,76832331,76879979,76883565,76921858,77432651,77447015,77534469,77689138,77768763,77999111,78280360,78612754,78623530,79429263,79466683,79471583,79572892,79963618,80473338,80746863,80862538,80904095,81126768,81527039,81577128,81640926,81728763,82009136,82100011,82120011,82812095,82812130,82964751,83220748,83380319,83429959,83479132,83487703,83547345,83734792,83740911,84320763,84332015,84913591,85000305,85782504,85944498,85954498,86059714,86095543,86175951,86251378,86478583,86604940,86815583,87155383,87190863,87215218,87759051,87852076,88065405,88073871,88106615,88219714,88299391,88511640,88645930,88741618,89117168,89281704,89293378,89389563,89915314,89934418,89950191,89992012,90666992,90694671,90727415,90729058,90942063,90969119,91267614,91322076,91615819,91774269,92134978,92260278,92272018,92391340,92418351,92540751,92643259,92791330,92936418,93090363,93134443,93334011,93598114,93638031,93701015,93936432,94201641,94342108,94348236,94412416,95269371,95490283,95509563,95869131,95921783,96505317,96661291,96918730,97061451,97084914,97385615,97561903,97570378,97585420,97693771,97860658,97867138,97868956,97949391,98124968,98528205,99007791,99249052,99374514,99374556,99461125,99575595,99592431,99883851,...,30799770167573385874539991650798323576859271456284867526401426723557583453216647691025581418992347812842044229358326972646896690405359206240935375544081879115573204958342340929091052284786145962611272469263098250025971039221834756408672181538295638418620877193883901263985934298936619571754209873366167602886755122871429814714960025264909961374566835740278300743392315976635123828316458347729056464408036608584877128158761453690116640615537871643090194778262450276812469095954527174216433675700877217377646480680447889288278581357430502261990959516955925059890522366936948737779479194624775088497179997406254903712192122446706984999758203786596269521107401762789833881408761208062702036384335626235330224572070298760575959277978654601859545811509710192829686625011467477680118650584333954982090866855432156731732625598817308572573909590473270568816712923489727377477701968657951344565575264465542147686885178646672914110063838534170270517841462350977855735915908591979146869785424260673287857715351425279528541242684704976756062675843856552325628237907318217859326833654767821675006994583680412845530310061199936515208797629764632146492109475198362058522498806019814231973888218662614101009960147610734803085005775275895854885774252590580219668515322229719030685900346753069546590548441666650117450297354014693941034421507569925046855868114716067568357689096994740930912755341917541618967409840484112916738362552963879075687079653975978622012829617305478383441637995931596570356065208606546428015643211996453404127664082477172948182944302694778472093834825397102950455683927588561426166314316827434076766974078965511650477584480271990353897120424856199400154186749257511127968209033581507122841578324074786412483976202022901120926164612044144786427322089903435536260438988485537192478362626467221214609183064464565467953569835326848679799051604269219885521659595792653307947055051477047989335370258333240348160753242852792038824700859944258462948461098834374990957836943096455141941237364651980629851434840536585419752343052124980078058839676377328572315606083586560761811576842551753638916602904063346954103098262502493115735271659801544463991051417634485210810698752213199006429753208515761272157683875965525374890369731917232659093581469769084500925624123609535565720136628693267774301117133289929800363201900115742935437606588933307306199897603346314611783007808673685579376348356722256508184987}
15082   380565340584026641892571695270295712983975520486198139181632548: {75385,90462,211022,301460,361752,406971,436537,572318,1024148,1691497,1958581,2011742,2769752,2825828,2844181,2906702,2936895,3115971,3132688,3479091,3524274,3547477,3664148,3722581,3984697,4141775,4508558,4593781,4685822,4970130,5165923,5285557,5301472,5629717,5746382,5964156,6006147,6274718,6485077,6526484,6570217,6740281,6801758,7088024,7150175,7164181,7379890,7586281,7595108,7631871,7832228,7974027,8174197,8306084,8375102,8580210,8591977,8855868,8897684,8956535,9152224,9244142,9504757,9694995,10282238,10296252,10341328,10542700,10747842,10762895,10785428,10799342,10898281,11373668,11633994,11658302,11843684,11949877,12547748,12651240,12749891,12795050,12813464,12915474,12941691,13148137,13484708,13494656,13736895,14213582,14232645,14415147,14486581,14652688,14720617,14886308,15061000,15181488,15226622,15235988,15354060,15406775,15899102,16034581,16373144,16377664,16417081,16484274,16631828,16736462,16943625,16949557,17079174,17403758,17704117,17902718,17929081,18073200,18138788,18153397,18214130,18234638,18352851,18370148,18419787,18424872,18488130,18565982,18601107,18674281,18822457,19061918,19177522,19278080,19391822,19525028,19559017,19720672,19870868,19885598,20332350,20446628,20727981,21032702,21082357,21195998,21332504,21368917,21685022,21687840,21725497,21796597,21856956,22144175,22185756,22283684,22497182,23133696,23449304,23628158,23764011,23998484,23999067,24171157,24398820,24431678,24682388,24846243,25071902,25394581,25706084,25709822,25864057,25930837,26025408,26273684,26380467,26503982,26573010,26594677,26727188,27055081,27251203,27251317,27396460,27576937,27667352,27706681,27856535,28003227,28081502,28344544,28395278,28423268,28474035,29114857,29278584,29488958,29805877,29955518,30336788,30364777,30372304,30549781,30672757,30856681,31031871,31125771,31166552,31193342,31458068,31886677,31887612,32245237,32364181,32377947,32454268,32542057,32875752,32938407,33337175,33337358,33427842,33800595,33941737,34168842,34399081,34549838,34569397,34651352,34691684,34795477,35062371,35132437,35603198,35688277,35689748,35908597,35963497,36053968,36345781,36351278,36464228,36616681,36806667,36985221,37016468,37051415,37347428,37428824,38008484,38279438,38462581,38545175,38872117,38930290,38982771,38997908,39137800,39453902,39600062,39756995,39765668,39795050,40004610,40122217,40219827,40220281,40328702,40473998,40560714,40750484,40802617,41279977,41577752,41775182,41796757,41889781,42107427,42267224,42349742,42402451,42578281,42671584,42894037,43028281,43038308,43294011,43363988,43689781,43762895,43776757,44030025,44249977,44419897,44461698,44543571,44624942,44765918,44881237,45252217,45468638,45527828,45876935,45897337,46252117,46254210,46363240,46446398,46677817,46694067,46716348,46724462,46774971,46830457,46944181,46965360,47142308,47249684,47318581,47417102,47503081,47550627,47555198,47576377,47708394,47754060,47758357,48005532,48116917,48326847,48499971,48503017,48517838,48744181,48749588,49082581,49130264,49201118,49315177,49337824,49676595,49737781,49833577,49991797,50030228,50054581,50096384,50117077,50425237,50516281,50826302,50937664,51164137,51530581,51750037,51859352,51991417,52031582,52048484,52158645,52252777,52515474,52540184,52577684,52696142,52743779,52826581,52836030,52915415,52988368,53064181,53294581,53362297,53517781,53626681,53839081,53983477,54044281,54104437,54346523,54652537,54791588,54798542,54827497,54878581,54887135,55052322,55124281,55233397,55271547,55324117,55397737,55505052,55539577,55588175,55614700,55635888,55726057,55835918,55840868,55921897,55945081,56078137,56088757,56155028,56190997,56304181,56358432,56406997,56469781,56527957,56541781,56575081,56587897,56600691,56618677,56627727,56769337,56783737,56855017,56864917,56866357,56866681,57304872,57408788,57501998,57756158,58341771,58389038,58491215,58865684,59107707,59154935,59611914,59643998,59902484,59976935,60304587,60366507,60390062,60513902,60574930,61481535,62093625,62232542,62590374,62960462,63403236,63498498,63582207,63683198,63897335,64467981,64648331,64696664,64757582,65140388,65580304,65820302,65864562,66054878,66233200,66288878,66638798,66665108,66705810,66737640,66987422,67381775,67501415,68002035,68040344,68397395,68479323,68485268,68495315,68597198,68824862,69089684,70189458,70540483,70595684,70786295,70958942,70985922,71096084,71152864,71186816,71379987,71495828,71757994,71791175,71951678,71972322,72535504,72592484,72689916,72691988,72783747,72990308,73149182,73267943,73777842,73847303,73992867,74435678,74495535,74512350,74648078,74971748,75059691,75079845,75345752,75469371,75593450,75662228,76326542,76545387,76547684,76676802,76946462,77038484,77049278,77447685,77637890,77764958,77977522,78017684,78121491,78133451,78775118,79091108,79274798,79333618,79461904,79479840,79480484,79765647,79859615,80046972,80085168,80459342,80548628,80839268,80858130,81001698,81526958,81602442,81998948,82076874,82194378,82387502,82610864,82860542,83236382,83329982,84165902,84507050,84625262,84763971,84778496,84943554,84976175,85259684,85262318,85378931,85623182,85859347,86071022,86149410,86248672,86306708,86686484,87255188,87305822,87335907,87479918,87539108,87653438,87812547,88011668,88044671,88170542,88405079,88449752,88920051,88936478,88954388,89356775,89394642,89414820,89424548,89667215,89939582,90095814,90201335,90712140,90830228,90935187,91083662,91645118,91892704,91959658,91962782,92199625,92533695,92878868,92890563,92937222,93001775,93056462,93157028,93165468,93292115,93440222,94271384,94271822,94495598,95004068,95012702,95375808,95377742,95811038,95831538,96025742,96106148,96273627,96451262,96662078,96759616,97010558,97010907,97029756,97644723,97832222,97850450,98123667,98235278,98387348,98702608,98830142,99466115,99505971,99795662,...,41066360223431181166053322201064431435812361941713156701868568964743444604288863588034108558656463750456058972477769296862528920540478941654580500725442505487430939944456454572121403046381527950148363292350797666701294718962446341878229575384394184558161169591845201685314579065248826095672279831154890137182340163828573086286613367019879948499422447653704400991189754635513498437755277796972075285877382144779836170878348604920155520820717162190786926371016600369083292127939369565621911567601169623170195307573930519051038108476574003015987946022607900079854029822582598317039305592833033451329573329875006538282922829928942646666344271715461692694809869017053111841878348277416936048512447501647106966096093731680767945703971539469146061082012946923772915500015289970240158200779111939976121155807242875642310167465089744763431879453964360758422283897986303169970269291543935126087433685954056196915846904862230552146751784712227027357121949801303807647887878122638862493047232347564383810287135233706038054990246273302341416901125142069767504317209757623812435778206357095566675992778240550460707080081599915353611730173019509528656145966931149411363331741359752309298517624883485468013280196814313070780007700367861139847699003454106959558020429639625374247867129004092728787397922222200156600396472019591921379228676759900062474490819621423424476918795992987907883673789223388825289879787312150555651150070618505434249439538634638162683772823073971177922183994575462093808086944808728570687524282661937872170218776636230597577259070259704629458446433862803933940911903451415234888419089103245435689298771954015533970112640362653805196160566474932533538915665676681503957612044775342830455437765433048549978634936030534827901552816058859715236429453204580715013918651314049589971150168622961619478910752619420623938093113769131573065402139025626514028879461056871077262740068636063985780493677777653797547670990470389385099601146592344617264614798445833321277115924128606855921649819535974173135246454048780559669790736166640104078452901836438096420808111448747682415435790069004851888803872084462605470797683336657487647028879735392618654735223512646947747598336284265341906337611354348362876911834620700499853826309222976878791441959692112667900832164812714087626848838257690365734822844386573067150935866820990580583475451911076408266530137795086149044010411564914105835131142296342010913316}
15083   382284191243213991232210203905754197363485415717661885164574808: {15083,120616,135693,316533,376825,452190,482336,542628,858477,1280185,1536222,1822381,2423533,2741102,3017613,3146077,3326713,3462190,3532285,3915860,4154628,4238742,4360053,4580185,4638788,4699032,5286411,5496222,5629822,6202021,6626840,6762837,6778981,7028733,7455195,7952208,8008196,8158105,8619573,8860030,8946234,9048662,9412077,9493885,9743437,9789726,9790285,10025677,10175828,10202637,10346713,10382605,10632036,11069835,11122105,11211781,11392662,11440280,11748342,11807824,12459126,12562653,12821102,12870315,12926660,13178375,13283802,13346526,13410181,13481785,13526713,13728336,13866213,14217085,14326501,14330456,14459822,14668357,14804605,14851813,15423357,15444378,15511992,15684685,15814050,16016830,16113241,16121763,16178142,16199013,16229053,16855885,16868320,16959877,17060502,17220632,17255588,17450991,17487453,17509822,17706518,17765526,17850457,18315860,18607885,18665941,18821622,18826250,18976860,19044985,19192575,19220196,19373211,19654297,20227062,20241984,20466430,20472080,20518141,20789785,21141013,21320373,21971833,21979032,22329462,22591500,22673485,22772232,22839933,22853982,22962685,23031090,23848653,23997166,24097600,24208933,24406285,24458797,24470468,24559716,24566496,24650840,24683881,24726411,24801476,24838585,24947742,25104693,25441117,25558285,25618761,26105637,26575766,26665630,26854077,27109800,27208182,27270733,27321195,27351957,27555222,27637308,27715321,27732195,27848973,27854605,28322062,28592877,28766283,28917120,29087733,29142608,29287542,29311630,29581008,29647981,29806302,29828397,29998105,30319933,30407581,30498525,30669942,30844928,30849997,30852985,31547222,31549053,31588117,31685348,31793997,31998756,32099797,32132605,32253301,32527533,32531760,32750221,32785434,32842105,33128324,33261118,33278634,33408985,33425526,33503353,33745773,34245575,34439822,34584190,34651357,34700544,34769641,35173956,35430680,35433133,35442237,35529085,35997726,36243877,36380533,36598230,36647517,36944557,36983821,37023582,37183102,37322653,37337636,37389517,37482157,37607853,37920985,37965380,38515237,38559126,38564733,38847253,38958190,39038112,39316981,39322585,39410526,39755973,39859515,40090782,40567835,40920781,41094690,41375828,41501028,42074041,42122253,42516816,42592917,42634902,42988981,43054198,43170596,43314190,43364605,43801693,43834336,43917876,44233437,44570456,44612185,44658637,44802217,44933277,44978966,44981077,45067460,45301141,45376933,45505182,45558456,45580285,45700357,45972661,46079917,46270585,46364822,46380541,46684285,46749828,46786030,46790013,46811581,47022373,47137381,47187102,47268181,47510605,47632717,47831418,48394777,48681402,48747385,48922250,48946717,49075556,49253401,49313628,49490233,49707085,49796281,50006037,50141763,50295061,50815237,50938105,51253263,51824757,51972190,51977028,52037526,52331317,52834030,53339480,53381533,53404797,53534622,53626436,53671981,53797885,53953406,54080952,54204985,54413566,54526917,54696342,55524702,55535341,55647181,55848853,56021142,56143236,56269813,56521597,56609581,56692477,56697982,56909785,57012726,57217477,57382766,57419157,57441742,57725348,57868633,57954050,58101637,58395435,58496862,58640758,58706700,58927885,59062105,59125021,59143501,59180853,59235373,59282264,59391428,59400093,59535301,59648502,59670637,59692575,60006915,60242101,60309997,60493053,60710997,60797113,60841071,60936985,61125726,61283086,61412830,61672280,61941277,62239382,62258756,62288464,62366628,62521558,62523301,62537785,62599837,62620480,62662773,62828557,63087397,63400836,63468566,63524613,63611192,63672080,64007376,64393957,64435796,64557462,64666628,64752781,64824190,64880077,65045982,65060605,65319517,65656837,65675230,65722105,65751853,65927533,65994613,66235460,66415453,66692547,66937413,67148877,67535677,67536313,67633262,67666681,67826041,68106901,68202957,68291742,68489485,69166057,69381315,69490222,69518375,69529166,69544860,69669597,69725557,69801085,70020632,70058222,70074522,70086693,70193785,70389757,70448040,70643197,70662757,70713462,70874526,71121013,71125653,71287117,71332797,71562591,71631090,71760985,72008298,72060766,72097741,72284506,72776757,73124382,73403096,73582105,73588822,73695396,73801677,74006736,74125942,74181184,74878105,75045342,75077941,75144576,75467588,75503636,75636157,76239453,76406496,76469497,76890517,76932206,77027221,77393533,77428837,77789028,77981398,78047373,78072726,78114877,78500713,78773211,78810276,78823286,78866526,78926437,79044213,79254045,79256053,79457893,79482552,79796077,79914937,80406116,80488676,80870830,81425485,81471037,81538237,81975380,82022317,82127161,82187382,82197813,82230157,82487461,82578483,82791500,83257578,83331385,83391781,83422050,83453832,83700397,83752702,83753877,83761302,84232542,84236893,84537648,84585166,84628333,84664664,84776276,85050430,85342777,85606585,85957308,86113182,86252997,86362105,86364782,86634237,87149518,87175477,87315961,87582958,87583557,87588862,87819416,87976597,88244605,88292713,88298526,88821181,88870105,88926157,88941080,88983520,89369785,89417871,89465997,89507053,89853726,90585093,90669380,90740605,90770853,90774277,90824317,90858157,90862395,90864985,91237885,91305764,91707061,91937341,92190181,92905982,93348813,93585944,93616126,93714685,93885561,94182190,94182493,94298437,94440693,94446517,94577785,94647896,95104854,95173316,95247747,95406637,95451542,95516677,95524797,95601013,95684605,95912077,95963096,96298105,96350137,96919888,97029181,97044996,97136373,97322101,97522105,97606141,97710582,97910206,98370456,98464141,98540377,98657156,98730453,98796843,98863885,99001081,99082317,99327380,99349800,99350605,99433317,99436357,99514813,99579166,99958197,99997662,...,61599540335146771749079983301596647153718542912569735052802853447115166906433295382051162837984695625684088458716653945293793380810718412481870751088163758231146409916684681858182104569572291925222544938526196500051942078443669512817344363076591276837241754387767802527971868597873239143508419746732335205773510245742859629429920050529819922749133671480556601486784631953270247656632916695458112928816073217169754256317522907380233281231075743286180389556524900553624938191909054348432867351401754434755292961360895778576557162714861004523981919033911850119781044733873897475558958389249550176994359994812509807424384244893413969999516407573192539042214803525579667762817522416125404072768671252470660449144140597521151918555957309203719091623019420385659373250022934955360237301168667909964181733710864313463465251197634617145147819180946541137633425846979454754955403937315902689131150528931084295373770357293345828220127677068340541035682924701955711471831817183958293739570848521346575715430702850559057082485369409953512125351687713104651256475814636435718653667309535643350013989167360825691060620122399873030417595259529264292984218950396724117044997612039628463947776437325228202019920295221469606170011550551791709771548505181160439337030644459438061371800693506139093181096883333300234900594708029387882068843015139850093711736229432135136715378193989481861825510683835083237934819680968225833476725105927758151374159307951957244025659234610956766883275991863193140712130417213092856031286423992906808255328164954345896365888605389556944187669650794205900911367855177122852332628633654868153533948157931023300955168960543980707794240849712398800308373498515022255936418067163014245683156648149572824967952404045802241852329224088289572854644179806871072520877976971074384956725252934442429218366128929130935907139670653697359598103208538439771043319191585306615894110102954095978670740516666480696321506485705584077649401719888516925896922197668749981915673886192910283882474729303961259702869681073170839504686104249960156117679352754657144631212167173121523623153685103507277833205808126693908206196525004986231470543319603088927982102835268970421621397504426398012859506417031522544315367751931050749780739463834465318187162939538169001851248247219071131440273257386535548602234266579859600726403800231485870875213177866614612399795206692629223566015617347371158752696713444513016369974}
15084   384010743007972838802373038654688056376338138001107244903135380: {105539,150770,165803,180924,346403,422044,466643,602920,678285,723504,796643,813942,873074,1006139,1065923,1144636,1513283,1899539,2047739,2048296,2304333,2873963,2932739,3382994,3460283,3577163,3810539,3897923,3917162,4014323,4023484,4111653,4623323,4681139,4883243,4894825,4969739,5113739,5193285,5200043,5401139,5539504,5651656,5688362,5798485,5813404,5873790,5887883,6231942,6265376,6315443,6358113,6684539,6769523,6958182,7048548,7094954,7165163,7328296,7445162,7587323,7615403,7867763,7951739,7969394,8244333,8283550,8444733,9017116,9187562,9340739,9371644,9423443,9533603,9698603,9753539,9835883,9940260,10010245,10331846,10571114,10602944,10655363,10845539,10899803,11259434,11492764,11928312,12012294,12272723,12459539,12539149,12549436,12592739,12719785,12858539,12911603,12970154,13052968,13140434,13290045,13308563,13419351,13480562,13572993,13603516,13782539,14044739,14176048,14253923,14300350,14328362,14514683,14684589,14748683,14759780,15068053,15172562,15190216,15214739,15263742,15601139,15664456,15948054,16036883,16062443,16158325,16190123,16292123,16348394,16419443,16612168,16673483,16750204,17088993,17160420,17183954,17622513,17631539,17711736,17795368,17913070,17956643,18180923,18255539,18304448,18488284,18677003,18688689,18825203,19009514,19231653,19389990,19781483,19925703,20019789,20024723,20218739,20291363,20564476,20592504,20682656,20749643,21085400,21228923,21495684,21525790,21538739,21569485,21570856,21598684,21657539,21689733,21796562,21823523,21894539,22319123,22366139,22747336,22894825,23166567,23267988,23299739,23316604,23369243,23687368,23721075,23761739,23899754,24025245,24267213,24676139,25060883,25095496,25128539,25196123,25302480,25420883,25499782,25590100,25590753,25626928,25830948,25883382,26264733,26296274,26559777,26648289,26969416,26989312,27059243,27081083,27386003,27473790,27602843,27732563,27926603,28232433,28239375,28427164,28465290,28802363,28830294,28973162,29305376,29329763,29441234,29772616,29831363,30122000,30142523,30245843,30340593,30362976,30453244,30471976,30588085,30699645,30708120,30813550,30820739,30922739,31001845,31187003,31771643,31798204,31891763,32031539,32069162,32389163,32746288,32755328,32783483,32834162,32920739,32968548,33077123,33155123,33263656,33271883,33368963,33472924,33494193,33504539,33543203,33832163,33887250,33899114,34158348,34280973,34423643,34546635,34707083,34801163,34807516,34932539,35212739,35408234,35583539,35805436,35858162,35987723,35995749,36146400,36277576,36306794,36351803,36428260,36469276,36622763,36705702,36740296,36839574,36849744,36976260,37131964,37202214,37348562,37421613,37644914,37863443,37915739,38123836,38176139,38210723,38355044,38469083,38486243,38520539,38556160,38640323,38783644,38895683,38946539,38999149,39050056,39118034,39441344,39606685,39741736,39771196,39783539,39863649,39998445,40243523,40276139,40471163,40664700,40809683,40812273,40893256,41001539,41192243,41287163,41332833,41410405,41444723,41455962,41476139,41632739,41912603,42051563,42065404,42128483,42164714,42373283,42391996,42483093,42631139,42665008,42737834,42856739,43050803,43125083,43370044,43375680,43450994,43593194,43668539,43697603,43713912,43784603,43931313,43967445,44101139,44288350,44343083,44371512,44427923,44526539,44567368,44709453,44736539,44972363,44994364,45110003,45219539,45719483,45826139,45919043,46004913,46064243,46267392,46672045,46839203,46898608,46990739,47141123,47256316,47320833,47364539,47456725,47524283,47528022,47731139,47996968,47998134,48126083,48208739,48342314,48349523,48523883,48558539,48797640,48863356,49092083,49178151,49269683,49364776,49434323,49456139,49532243,49692486,49694003,49891677,49917443,49917951,50074883,50126963,50138289,50143804,50168483,50282003,50384363,50536403,50789162,50805539,51174443,51382739,51412168,51419644,51522539,51550283,51659733,51719785,51728114,51733403,51769643,51841739,51861674,51868643,51871981,51876285,52050816,52081283,52237739,52323539,52467563,52547368,52592723,52642283,52760934,52965323,53004803,53007964,53146020,53189354,53199203,53290739,53305883,53313443,53454376,53462963,53638163,53645363,53815763,53850683,53871539,53940539,53963245,53995163,53996589,54042539,54110162,54122843,54175739,54195443,54260603,54273539,54445043,54502406,54502634,54634763,54723803,54792920,54839723,54862523,54896483,54897345,54924563,54946883,55072739,55126139,55136723,55153874,55204739,55245923,55281539,55334704,55341683,55395803,55413362,55429739,55444163,55468043,55535373,55625123,55659793,55713070,55774653,55839323,55891739,55923323,55938923,56006454,56062739,56091443,56105603,56163004,56317763,56320763,56334325,56381281,56390363,56420723,56491139,56544203,56551139,56569283,56578163,56584739,56689088,56704523,56728883,56748539,56769539,56772203,56790556,56792363,56837243,56846536,56859563,56864603,56877539,56878043,56880539,56881403,56881739,56948070,57838689,58229714,58437285,58557168,58977916,59115789,59611754,59911036,60136173,60673576,60729554,60744608,61099562,61268053,61344445,61345514,61642035,61713362,62063742,62251542,62333104,62333557,62386684,62916136,63773354,63775224,63952353,64227709,64490474,64581297,64728362,64755894,64908536,64971285,65084114,65751504,65876814,66674350,66674716,66855684,67033045,67468449,67601190,67883474,68257773,68337684,68798162,69099676,69138794,69302704,69383368,69547233,69590954,70124742,70179045,70264874,70780653,71206396,71376554,71379496,71747127,71817194,71926994,72107936,72156685,72254017,72691562,72702556,72928456,73022103,73233362,73383375,73613334,73970442,74032936,74081581,74102830,74239285,74694856,74857648,76016968,76402573,76558876,76841989,76925162,77090350,77744234,77823445,77860580,77958285,77965542,77995816,78056289,78275600,78907804,79200124,79251045,79513990,79531336,79590100,80009220,80244434,80301933,80439654,80440562,80544745,80657404,80833285,80930109,80947996,81121428,81500968,81605234,81620349,81887701,82044513,82535221,82559954,82794325,82816909,83155504,83287053,83550364,83593514,83779562,83967709,84031713,84214854,84534448,84699484,84804902,85046973,85156562,85343168,85519089,85788074,86056562,86074149,86076616,86162613,86588022,86727976,86931075,87379562,87525790,87553514,87745293,87961137,88060050,88499954,88839794,88923396,89087142,89249884,89456269,89472753,89531836,89762474,90504434,90937276,91055656,91688589,91753870,91794674,91924629,92119245,92339533,92504234,92508420,92726480,92892796,93355634,93359073,93388134,93432696,93448924,93549942,93660914,93782337,93888362,93930720,94284616,94334485,94379545,94499368,94501981,94637162,94834204,95006162,95101254,95110396,95152754,95202849,95416788,95508120,95516714,95756353,95893441,96011064,96233834,96653694,96836193,96999942,97006034,97035676,97236285,97488362,97499176,97568973,98165162,98260528,98402236,98512845,98630354,98675648,99100813,99353190,99475562,99667154,99983594,...,92399310502720157623619974952394970730577814368854602579204280170672750359649943073076744256977043438526132688074980917940690071216077618722806126632245637346719614875027022787273156854358437887833817407789294750077913117665504269226016544614886915255862631581651703791957802896809858715262629620098502808660265368614289444144880075794729884123700507220834902230176947929905371484949375043187169393224109825754631384476284361070349921846613614929270584334787350830437407287863581522649301027102631652132939442041343667864835744072291506785972878550867775179671567100810846213338437583874325265491539992218764711136576367340120954999274611359788808563322205288369501644226283624188106109153006878705990673716210896281727877833935963805578637434529130578489059875034402433040355951753001864946272600566296470195197876796451925717721728771419811706450138770469182132433105905973854033696725793396626443060655535940018742330191515602510811553524387052933567207747725775937440609356272782019863573146054275838585623728054114930268188027531569656976884713721954653577980500964303465025020983751041238536590930183599809545626392889293896439476328425595086175567496418059442695921664655987842303029880442832204409255017325827687564657322757771740659005545966689157092057701040259208639771645324999950352350892062044081823103264522709775140567604344148202705073067290984222792738266025752624856902229521452338750215087658891637227061238961927935866038488851916435150324913987794789711068195625819639284046929635989360212382992247431518844548832908084335416281504476191308851367051782765684278498942950482302230300922236896534951432753440815971061691361274568598200462560247772533383904627100744521368524734972224359237451928606068703362778493836132434359281966269710306608781316965456611577435087879401663643827549193393696403860709505980546039397154812807659656564978787377959923841165154431143968006110774999721044482259728558376116474102579832775388845383296503124972873510829289365425823712093955941889554304521609756259257029156374940234176519029131985716946818250759682285434730527655260916749808712190040862309294787507479347205814979404633391973154252903455632432096256639597019289259625547283816473051627896576124671109195751697977280744409307253502776872370828606697160409886079803322903351399869789401089605700347228806312819766799921918599692810038943835349023426021056738129045070166769524554961}
15085   385745030105406443083730407784467075504231698004648720289732169: {30166,226155,241232,271386,527555,633066,753650,904380,964672,1085256,1220913,1309611,1430795,1716954,1792259,2153723,2560370,3072444,3644762,3718091,4847066,4945199,5029355,5074491,5482204,5875743,6035226,6292154,6412259,6653426,6924380,7064570,7109663,7266755,7831720,8011523,8309256,8477484,8532543,8720106,8810685,9160370,9277576,9347913,9398064,9454499,10073723,10437273,10572822,10642431,10717103,10992444,11167743,11259644,11271395,11421347,11514971,11714555,11954091,12404042,12425325,13253680,13291439,13525674,13557962,13706399,13781343,14057466,14365955,14535647,14910390,15118091,15497769,15570947,15686795,15856671,15904416,16016392,16316210,16889151,17004395,17224499,17239146,17335331,17720060,17892468,18018441,18097324,18449725,18721211,18824154,18874499,18987770,19081523,19455231,19486874,19579452,19580570,19710651,19903919,20043491,20051354,20220843,20351656,20405274,20693426,20726447,20765210,20880959,20937755,21264072,21450525,21492543,21958559,22139670,22244210,22423562,22758843,22785324,22880560,22895613,23110355,23496684,23598239,23615648,23628191,23922081,24522591,24787103,24918252,25125306,25642204,25705595,25740630,25775931,25853320,26051039,26356750,26567604,26662979,26693052,26820362,26869605,26963570,26998355,27053426,27224111,27456672,27587867,27732426,28434170,28514271,28653002,28660912,28905851,28919644,29084985,29105699,29145755,29336714,29609210,29703626,30846714,30888756,30975947,31023984,31369370,31628100,31719011,31742879,31987625,32033660,32147759,32226482,32243526,32288685,32356284,32398026,32458106,32694843,32977583,33711770,33736640,33919754,34121004,34168799,34441264,34511176,34774019,34901982,34974906,35019644,35038523,35277227,35413036,35531052,35533955,35700914,35781599,35849631,36047807,36429503,36631720,37215770,37331411,37331882,37472483,37643244,37652500,37953720,38011871,38066555,38089970,38249673,38385150,38440392,38746422,38825073,38860187,38996447,39308594,39444411,39747755,40454124,40483968,40932860,40944160,41036282,41210685,41579570,41841155,41997347,42282026,42640746,42697935,43194179,43245441,43459743,43509395,43754387,43943666,43958064,44161851,44187611,44658924,44756795,44975699,44985647,45086459,45183000,45346970,45535325,45544464,45586595,45679866,45707964,45807299,45925370,45978947,46062180,46220325,46414955,46465523,46772579,46987691,47247467,47654795,47697306,47708831,47738543,47943805,47994332,48103743,48195200,48360923,48417866,48479555,48812570,48917594,48940936,49119432,49132992,49251243,49301680,49367762,49452822,49579199,49602952,49677170,49713995,49740719,49868159,49895484,50209386,50301827,50630687,50830875,50848671,50882234,51116570,51237522,52211274,52581755,52989995,53089379,53112351,53151532,53331260,53659139,53708154,53787243,54212555,54219600,54416364,54460191,54541466,54630059,54642390,54703914,54983507,55051619,55058553,55110444,55259361,55274616,55430642,55464390,55654667,55697946,55709210,55803321,55856939,56022843,56212127,56242955,56293211,56467371,56644124,56794969,57185754,57532566,57834240,58175466,58285216,58575084,58623260,58677051,59070395,59162016,59295962,59444219,59612604,59656794,59996210,60054371,60248987,60602303,60639866,60710447,60746219,60815162,60997050,61079195,61129259,61339884,61689856,61699994,61705970,62183943,62457059,62679755,62889791,63094444,63098106,63176234,63247071,63370696,63430523,63587994,63812399,63997512,64106751,64199594,64265210,64274555,64506602,64778819,65055066,65063520,65176491,65357999,65389791,65500442,65570868,65684210,66003491,66164831,66256648,66259955,66432525,66514847,66522236,66557268,66576803,66798251,66817970,66851052,67006706,67115039,67329407,67491546,67858043,68169779,68246339,68491150,68665571,68879644,69168380,69302714,69401088,69539282,69589919,69667967,70203755,70347912,70861360,70866266,70884474,70988195,71058170,71102879,71275451,71292033,71313347,71995452,71997201,72071903,72487754,72503699,72513471,72540011,72761066,73196460,73295034,73722395,73889114,73967642,74047164,74251931,74366204,74538729,74645306,74675272,74779034,74888795,74964314,75215706,75244223,75317039,75627467,75841970,75886979,75930760,76183743,76481267,77030474,77069999,77118252,77129466,77592171,77694506,77792511,77916380,77983355,78076224,78633962,78645170,78821052,79072127,79141401,79488191,79511946,79609931,79673699,79719030,79784031,79814891,80181564,81135670,81165243,81497411,81753609,81753951,81841562,82152803,82189380,82402931,82499039,82686947,82730811,82751656,82925099,83002056,83120043,83229539,83343395,83510531,83569605,83711903,84009681,84148082,84244506,84248411,84393899,85033632,85185834,85269804,85311779,85422105,85438667,85977962,86089247,86108396,86210171,86341192,86374595,86485883,86501819,86628380,86729210,87344571,87552899,87603386,87668672,87736091,87835752,88466874,89007995,89021627,89140912,89224370,89317274,89417631,89604434,89866554,89957932,89962154,90134920,90454811,90602282,90687071,90753866,90870611,90878195,91010364,91084847,91093343,91094331,91116912,91160570,91400714,91649343,91940603,91945322,92010947,92018271,92159834,92541170,92570043,92729644,92761082,93095613,93368570,93377313,93499656,93572060,93580026,93623162,94044746,94274762,94374204,94536362,95021210,95265434,95660031,95662836,95698595,95827619,95885279,96196511,96363371,96687263,96735711,96789554,96954731,97088063,97092543,97133841,97325725,97362804,97494770,97510523,97588427,97626171,97721519,97844500,97850111,97893434,98151112,98271299,98466107,98477387,98506802,98553923,98627256,98634755,98680091,98815221,98918651,98980466,99000155,99414170,99487625,99564299,99592562,...,123199080670293543498159966603193294307437085825139470105605706894230333812866590764102325675969391251368176917433307890587586761621436824963741502176327516462292819833369363716364209139144583850445089877052393000103884156887339025634688726153182553674483508775535605055943737195746478287016839493464670411547020491485719258859840101059639845498267342961113202973569263906540495313265833390916225857632146434339508512635045814760466562462151486572360779113049801107249876383818108696865734702803508869510585922721791557153114325429722009047963838067823700239562089467747794951117916778499100353988719989625019614848768489786827939999032815146385078084429607051159335525635044832250808145537342504941320898288281195042303837111914618407438183246038840771318746500045869910720474602337335819928363467421728626926930502395269234290295638361893082275266851693958909509910807874631805378262301057862168590747540714586691656440255354136681082071365849403911422943663634367916587479141697042693151430861405701118114164970738819907024250703375426209302512951629272871437307334619071286700027978334721651382121240244799746060835190519058528585968437900793448234089995224079256927895552874650456404039840590442939212340023101103583419543097010362320878674061288918876122743601387012278186362193766666600469801189416058775764137686030279700187423472458864270273430756387978963723651021367670166475869639361936451666953450211855516302748318615903914488051318469221913533766551983726386281424260834426185712062572847985813616510656329908691792731777210779113888375339301588411801822735710354245704665257267309736307067896315862046601910337921087961415588481699424797600616746997030044511872836134326028491366313296299145649935904808091604483704658448176579145709288359613742145041755953942148769913450505868884858436732257858261871814279341307394719196206417076879542086638383170613231788220205908191957341481033332961392643012971411168155298803439777033851793844395337499963831347772385820567764949458607922519405739362146341679009372208499920312235358705509314289262424334346243047246307370207014555666411616253387816412393050009972462941086639206177855964205670537940843242795008852796025719012834063045088630735503862101499561478927668930636374325879076338003702496494438142262880546514773071097204468533159719201452807600462971741750426355733229224799590413385258447132031234694742317505393426889026032739948}
15086   387487086913516815785065905407583201733749725283745778467726516: {45249,195949,211078,301540,331606,361848,407079,692806,844088,933286,949599,1095949,1130475,1205840,1356570,1447008,1543249,1593286,1627884,1746148,2012278,2077633,2131846,2289272,2343853,2432449,2575431,2962513,3026566,3799078,3840555,4095478,4096592,4537153,4608666,5143213,5467143,5487949,5747926,5865478,6344749,6685453,6765988,6852755,6920566,7154326,7270599,7616449,7621078,7795846,7834324,8028646,8046968,8117879,8223306,8655475,8788753,9052839,9246646,9362278,9438231,9766486,9789650,9939478,9980139,10227478,10386570,10400086,10596855,10602433,10802278,11079008,11303312,11376724,11596970,11626808,11747580,11775766,12463884,12530752,12630886,12716226,13080159,13257613,13369078,13539046,13740555,13916364,14014343,14074555,14097096,14189908,14330326,14656592,14890324,15174646,15216913,15230806,15680449,15735526,15859233,15903478,15938788,16064749,16488666,16567100,16827949,16889466,17659153,17807699,17884333,18034232,18258193,18375124,18606063,18681478,18743288,18846886,19067206,19148113,19397206,19507078,19671766,19808749,19880520,19881793,20020490,20035543,20245933,20288511,20336943,20663692,20968813,21086199,21142228,21205888,21310726,21684493,21691078,21799606,22150075,22365585,22392973,22518868,22621655,22985528,23303233,23442193,23650093,23788333,23856624,24024588,24474315,24545446,24679873,24919078,25078298,25098872,25185478,25439570,25717078,25823206,25858719,25940308,26027713,26094349,26105936,26280868,26580090,26617126,26756749,26838702,26961124,27085249,27145986,27207032,27411949,27565078,28089478,28124353,28236231,28352096,28481655,28507846,28600700,28656724,29029366,29230311,29271313,29369178,29370855,29497366,29519560,29898433,30077031,30136106,30197279,30271249,30333133,30345124,30380432,30429478,30527484,30607911,31040139,31131073,31147815,31191949,31202278,31328912,31495249,31856833,31896108,32052755,32073766,32124886,32316650,32380246,32584246,32696788,32838886,33209505,33218893,33224336,33346966,33366315,33500408,33509953,33567949,33635343,34177986,34320840,34367908,34372333,34712749,35245026,35263078,35423472,35590736,35826140,35913286,36149555,36361846,36511078,36592813,36608896,36700813,36969553,36976568,37354006,37377378,37650406,37687959,37712449,38019028,38463306,38492749,38544193,38610945,38779980,38953153,39256849,39535125,39562966,39851406,40039578,40042075,40049446,40230543,40299373,40437478,40445355,40542913,40580139,40582726,41024593,41128952,41185008,41215249,41365312,41499286,41598639,41686849,42170800,42380749,42457846,42651255,42653773,42823319,42979503,42991368,43051580,43077478,43138970,43141712,43197368,43236433,43315078,43379466,43402583,43545133,43593124,43647046,43774555,43789078,44005071,44109073,44266295,44365249,44413815,44534593,44555439,44638246,44732278,44994349,45035713,45241453,45494672,45566893,45789650,45847873,46270071,46333134,46360333,46535976,46599478,46633208,46738486,46746253,46784449,47054055,47065625,47162449,47311633,47374736,47442150,47523478,47752273,47799508,48050490,48339723,48365289,48534426,48567853,48597039,48687159,48978253,49279249,49352278,49443949,49958893,50121766,50190992,50257078,50363713,50392246,50394349,50567655,50604960,50815693,50841766,50879631,50991949,50999564,51021073,51166075,51180200,51181506,51253856,51308353,51532993,51661896,51766764,52074433,52334353,52352973,52461613,52462359,52486849,52529466,52592548,53119554,53210449,53296578,53302033,53324749,53437249,53459533,53551371,53635213,53656849,53678413,53938832,53978624,54118486,54162166,54368749,54628813,54646849,54735949,54753553,54772006,54947580,54992449,55090513,55205686,55217233,55449359,55465126,55513873,55527949,55541953,55583533,55823655,55853206,55904833,55997823,56043073,56201293,56240749,56334349,56378449,56464866,56478750,56492353,56598733,56630593,56672173,56749393,56783953,56787949,56791873,56836333,56852749,56854328,56866573,56880973,56896813,56930580,57134955,57577725,57604726,57660588,57946324,57974567,58119633,58610752,58659526,58882468,58962891,59545232,59662726,59992915,60244000,60285046,60491686,60681186,60725952,60906488,60943952,61176170,61399290,61416240,61554423,61627100,61641478,61845478,62003690,62369355,62374006,63423039,63543286,63596408,63783526,63961119,64063078,64138324,64778326,65340863,65492576,65510656,65566966,65668324,65841478,65915499,65937096,66154246,66310246,66439415,66527312,66543766,66632423,66664075,66737926,66945848,66988386,67009078,67086406,67664326,67774500,67798228,68020455,68316696,68519799,68561946,68847286,68888055,69093270,69414166,69602326,69615032,69865078,70425478,70805155,70816468,71167078,71545959,71610872,71716324,71975446,71991498,72292800,72407699,72555152,72613588,72626799,72703606,72856520,72938552,73218855,73245526,73279075,73376391,73411404,73480592,73666931,73679148,73699488,73952520,74051643,74179233,74263928,74404428,74515755,74697124,74843226,75289828,75314079,75548543,75726886,75831478,76247672,76323351,76352278,76421446,76674855,76710088,76856283,76938166,76972486,77041078,77112320,77280646,77567288,77791366,77893078,77998298,78100112,78236068,78316911,78868055,78882688,79213370,79483472,79542392,79567078,79727298,79996890,80487046,80552278,80562231,80942326,81329400,81619366,81624546,81786512,81812199,81963585,82003078,82055871,82384486,82574326,82665666,82820810,82889446,82911924,82952278,83145963,83152795,83196585,83265478,83546919,83563815,83825206,84103126,84130808,84256966,84329428,84746566,84783992,84966186,85262278,85330016,85391111,85401679,85475668,85713478,85778631,85882223,86099555,86101606,86250166,86298849,86460475,86740088,86751360,86901988,87186388,87263199,87337078,87395206,87427824,87569206,87862626,87934890,88202278,88576700,88686166,88743024,88855846,88943943,89053078,89134736,89418906,89473078,89485191,89944726,89988728,89994315,90220006,90439078,90959799,91222743,91438966,91495575,91652278,91838086,92009826,92128486,92245247,92534784,92549991,92558955,92957755,93344090,93678406,93797216,93846263,93981478,94282246,94512632,94641666,94647159,94729078,94764351,94913450,95048566,95056044,95381991,95462278,95993936,95996268,96252166,96299391,96397815,96417478,96684628,96699046,96759903,97047766,97117078,97395475,97582599,97595280,97726712,98184166,98250663,98356302,98526315,98539366,98729552,98868646,98912278,99064486,99384972,99388006,99783354,99834886,99835902,...,184798621005440315247239949904789941461155628737709205158408560341345500719299886146153488513954086877052265376149961835881380142432155237445612253264491274693439229750054045574546313708716875775667634815578589500155826235331008538452033089229773830511725263163303407583915605793619717430525259240197005617320530737228578888289760151589459768247401014441669804460353895859810742969898750086374338786448219651509262768952568722140699843693227229858541168669574701660874814575727163045298602054205263304265878884082687335729671488144583013571945757101735550359343134201621692426676875167748650530983079984437529422273152734680241909998549222719577617126644410576739003288452567248376212218306013757411981347432421792563455755667871927611157274869058261156978119750068804866080711903506003729892545201132592940390395753592903851435443457542839623412900277540938364264866211811947708067393451586793252886121311071880037484660383031205021623107048774105867134415495451551874881218712545564039727146292108551677171247456108229860536376055063139313953769427443909307155961001928606930050041967502082477073181860367199619091252785778587792878952656851190172351134992836118885391843329311975684606059760885664408818510034651655375129314645515543481318011091933378314184115402080518417279543290649999900704701784124088163646206529045419550281135208688296405410146134581968445585476532051505249713804459042904677500430175317783274454122477923855871732076977703832870300649827975589579422136391251639278568093859271978720424765984494863037689097665816168670832563008952382617702734103565531368556997885900964604460601844473793069902865506881631942123382722549137196400925120495545066767809254201489042737049469944448718474903857212137406725556987672264868718563932539420613217562633930913223154870175758803327287655098386787392807721419011961092078794309625615319313129957574755919847682330308862287936012221549999442088964519457116752232948205159665550777690766593006249945747021658578730851647424187911883779108609043219512518514058312749880468353038058263971433893636501519364570869461055310521833499617424380081724618589575014958694411629958809266783946308505806911264864192513279194038578519251094567632946103255793152249342218391503395954561488818614507005553744741657213394320819772159606645806702799739578802179211400694457612625639533599843837199385620077887670698046852042113476258090140333539049109922}
15087   389236947961864649130940565119945397818602462101962791159598109: {60332,316617,376925,452310,482464,497409,542772,738577,1039209,1055110,1266132,1399929,1507300,1808760,1929344,2003113,2034855,2170512,2182685,2389929,2441826,2545309,2619222,2861590,3018417,3197769,3433908,3584518,3808409,4307446,4350317,4539849,5120740,5698617,6143217,6144888,6912999,7041097,7289524,7436182,8402329,8457485,8621889,8798217,9694132,9746033,9792905,9890398,10058710,10148982,10173457,10380849,10566793,10731489,10964408,11431617,11693769,11751486,11905309,12042969,12070452,12334959,12584308,12824518,13306852,13530317,13848760,13869969,14043417,14129140,14219326,14220905,14533510,14649729,14684475,14909217,15341217,15579855,15600129,15663440,15779953,16023046,16203417,16233377,16400377,16618512,16954968,17065086,17395455,17440212,17618513,17621370,17663649,17737385,17855213,18320740,18555152,18612905,18695826,18796128,18908998,18946329,19074339,19923485,20012329,20053617,20112337,20147446,20308569,20552797,20708875,20874546,21145644,21284862,21434206,21495489,21961513,21984888,22335486,22513073,22519288,22542790,22761969,22842694,22846209,22968905,23029942,23429110,23603289,23806153,23855217,23908182,24677497,24732999,24808084,24850650,25334199,25701773,25829615,26427785,26507360,26582878,27051348,27115924,27412798,27562686,28022217,28114932,28148585,28270329,28600809,28731910,28732397,29071294,29095809,29260617,29293849,29312857,29332193,29507649,29820780,30030735,30236182,30995538,31141894,31373590,31713342,31808832,31966089,32032784,32242793,32354497,32425385,32536617,32632420,32699409,32851085,33269153,33701405,33778302,33906529,34008790,34448998,34478292,34670662,35440120,35750875,35784936,35820905,35987833,36036882,36194648,36809177,36818169,36899450,37142857,37378617,37442422,37617447,37648308,37748998,37778217,37797697,37931405,37975540,38042609,38159355,38163046,38575617,38634989,38734809,38857649,38910462,38973748,39158904,39161140,39300409,39421302,39427489,39807838,39870135,39925689,40086982,40102708,40258053,40441686,40703312,40718979,40804057,40810548,40870985,41347617,41386852,41452894,41530420,41761918,41875510,42134217,42528144,42761769,42854009,42901050,42959885,42985086,43053049,43544049,43809053,43812077,43917118,44053767,44246049,44279340,44488420,44782675,44847124,45204159,45313313,45517686,45570648,45644217,45761120,45791226,46220710,46392953,46803417,46993368,47196478,47231296,47256382,47523785,47645609,47844162,48110649,48187329,48312113,48474975,48570369,48876369,49045182,49258329,49574206,49747537,49836504,49951553,50020449,50250612,50505913,51196393,51266979,51284408,51411190,51464633,51481260,51551862,51706640,52102078,52107089,52713500,52867539,52894617,53135208,53283997,53293177,53325958,53386104,53640724,53739210,53814475,53869929,53927140,53996710,54106852,54448222,54491405,54542769,54578093,54766617,54913344,55175734,55464852,55646857,56031009,56066067,56219689,56475609,56868340,56963017,57028542,57169409,57219377,57279137,57306004,57321824,57694959,57811702,57839288,58117433,58169970,58211398,58291510,58347257,58577617,58673428,58775473,58935097,59218420,59251289,59344449,59407252,59749385,59777109,60059367,60074169,60258353,60656217,60874089,60913153,61693428,61777512,61951894,62047968,62248929,62343937,62540033,62654873,62659513,62738740,63256200,63438022,63485758,63686769,63749455,63821233,63975250,64067320,64295518,64452964,64487052,64562797,64577370,64616217,64708455,64712568,64717997,64796052,64916212,64972617,64980937,65069199,65389686,65470569,65537393,65683617,65740685,65769449,65955166,66716713,66957369,67098417,67121327,67362377,67423540,67473280,67554113,67839508,67871377,67892833,68242008,68337598,68684475,68882528,69022352,69499701,69548038,69599593,69803964,69899217,69949812,70039288,70077046,70107729,70123177,70554454,70826072,70915433,71062104,71067910,71163225,71285217,71306609,71401828,71563198,71699262,72029593,72075735,72095614,72117113,72242753,72432905,72801639,72859006,73105777,73263440,73603085,73614457,74028417,74185993,74431540,74662822,74663764,74944966,75182649,75286488,75305000,75385617,75588369,75897577,75907440,76023742,76133110,76179940,76189753,76262649,76499346,76770300,76772259,76880784,77033875,77236889,77492844,77650146,77720374,77992894,78030833,78444689,78617188,78740137,78794199,78888822,79479329,79495510,79503917,79679331,79944867,80172905,80195869,80908248,80967936,81177729,81243249,81865720,81888320,82072564,82085405,82158009,82348313,82421370,82698553,82808529,83159140,83197689,83682310,83779809,83994694,84564052,84697299,84718125,84747785,85281492,85395870,85510873,85515449,86388358,86407089,86490882,86850977,86919486,87018790,87508774,87751657,87887332,87916128,87989289,88316717,88323702,88334893,88375222,88520585,88957913,89317848,89494089,89513590,89645405,89783497,89951398,89971294,89984377,90172918,90366000,90427569,90693940,90737529,90766985,91005773,91021779,91070650,91088928,91173190,91359732,91415928,91614598,91764255,91850740,91957894,92098935,92124360,92440650,92462217,92680993,92763937,92768217,92829910,92931046,93005535,93171889,93371405,93545158,93555473,93561009,93761209,93975382,94112285,94322593,94494934,95309590,95314929,95394612,95417662,95477086,95542529,95675289,95887610,95988664,96094617,96207486,96390400,96721846,96835732,96959110,96984577,97167489,97625140,97632473,97795085,97835188,97881872,98238864,98265984,98285257,98350449,98502486,98603360,98735524,98762217,98905644,98932249,99158398,99205904,99231369,99354340,99383473,99427990,99465369,99481438,99541769,99577693,99736318,99790968,99815649,99998573,...,277197931508160472870859924857184912191733443106563807737612840512018251078949829219230232770931130315578398064224942753822070213648232856168418379896736912040158844625081068361819470563075313663501452223367884250233739352996512807678049633844660745767587894744955111375873408690429576145787888860295508425980796105842868332434640227384189652371101521662504706690530843789716114454848125129561508179672329477263894153428853083211049765539840844787811753004362052491312221863590744567947903081307894956398818326124031003594507232216874520357918635652603325539014701302432538640015312751622975796474619976656294133409729102020362864997823834079366425689966615865108504932678850872564318327459020636117972021148632688845183633501807891416735912303587391735467179625103207299121067855259005594838817801698889410585593630389355777153165186314259435119350416311407546397299317717921562101090177380189879329181966607820056226990574546807532434660573161158800701623243177327812321828068818346059590719438162827515756871184162344790804564082594708970930654141165863960733941502892910395075062951253123715609772790550799428636879178667881689318428985276785258526702489254178328087764993967963526909089641328496613227765051977483062693971968273315221977016637900067471276173103120777625919314935974999851057052676186132245469309793568129325421702813032444608115219201872952668378214798077257874570706688564357016250645262976674911681183716885783807598115466555749305450974741963384369133204586877458917852140788907968080637148976742294556533646498724253006248844513428573926554101155348297052835496828851446906690902766710689604854298260322447913185074083823705794601387680743317600151713881302233564105574204916673077712355785818206110088335481508397303077845898809130919826343950896369834732305263638204990931482647580181089211582128517941638118191464438422978969694936362133879771523495463293431904018332324999163133446779185675128349422307739498326166536149889509374918620532487868096277471136281867825668662913564829268777771087469124820702529557087395957150840454752279046856304191582965782750249426136570122586927884362522438041617444938213900175919462758710366897296288769918791057867778876641851449419154883689728374013327587255093931842233227921760508330617112485820091481229658239409968710054199609368203268817101041686418938459300399765755799078430116831506047070278063170214387135210500308573664883}
15088   390994647932232105996300752846288037695949165183644790340934606: {75415,90498,165847,391898,422156,603080,663212,678465,723696,814158,1066207,1385612,1582665,1688176,1866572,1884125,1899198,1959367,2048287,2191898,2225911,2260950,2411680,2713140,2845327,2894016,2933527,3086498,3186572,3255768,3492296,3662739,3811567,3928833,4024556,4155266,4263692,4292385,4578544,4682407,4687706,4864898,5115127,5150862,5376777,5717911,5925026,6053132,6146311,6317167,6400925,6461169,6572911,6743047,6828007,7598156,7681110,8190956,8193184,8261311,8678911,9074306,9111905,9217332,9260527,9593857,9756247,10085287,10286426,10331311,10902847,10934286,10975898,11154273,11495852,11730956,11954911,12117665,12516367,12689498,12915247,13153711,13370906,13531976,13705510,13841132,14308652,14492767,14541198,14835597,15088065,15223473,15232898,15242156,15270727,15591692,15668648,15730385,16057292,16093936,16235758,16424167,16446612,16500487,16633565,17032711,17310950,17410711,17577506,17627229,17661425,17786911,18011767,18105678,18493292,18724556,18756607,18876462,19236777,19273711,19532972,19579300,19640911,19704377,19878956,19960278,20454956,20514847,20773140,20800172,21193710,21204866,21328989,21592687,21604556,21800265,21806311,22019287,22158016,22372807,22606624,22753448,22900925,23004607,23193940,23253616,23495160,23551532,23678369,24034569,24456127,24729007,24927768,25061504,25068487,25261772,25432452,25597629,25942711,26160318,26432055,26515226,26606911,26738156,27067567,27078092,27133087,27481110,27589711,27832728,28028686,28043739,28149110,28194192,28363497,28379816,28660652,29065207,29313184,29380927,29780648,30221169,30349292,30433826,30440911,30461612,30625807,30871327,30932527,31010105,31237447,31311819,31360898,31471052,31670317,31718466,31806956,31877576,31927293,31961911,32129498,32151309,32379727,32557711,32977332,33134200,33321487,33503229,33554047,33655898,33778932,33814185,33843127,33894905,34264041,34544913,34586311,34756087,34981447,35143665,35318306,35595247,35615398,35705911,35768666,35862273,35981311,36068464,36516386,36750248,37212126,37275975,37331311,37362956,37486576,37693772,37963327,38134412,38223607,38296226,38533567,38794412,38891911,39014156,39343532,39498007,39617498,39647911,39761040,39763586,39797167,39874317,40040980,40071086,40290007,40485127,40491866,40577022,40673886,40790525,40871911,41119197,41327384,41344029,41490607,41937626,41958247,42172398,42281311,42284456,42411776,42621452,42646207,43097865,43368986,43382156,43599212,43606941,43713247,43756807,43843711,44300150,44359087,44486311,44731170,44785946,44873857,45037736,45243310,45317911,45354273,45922711,45971056,46002127,46316911,46493307,46606466,46703911,46712841,46884386,47008327,47060385,47158807,47300186,47382367,47469425,47529967,47570013,47576666,47713248,48049176,48717185,48948630,48951425,49090892,49111087,49310887,49359746,49376911,49475407,49799047,49838156,50021311,50115487,50128385,50156596,50197744,50370956,50485711,50546407,50609377,50667453,50696887,50845567,50879140,51013185,51166327,51434156,51561967,51589687,51646412,51673497,51717438,51733565,51862927,51880616,51913025,52005993,52055426,52188698,52211872,52310911,52561736,52738087,53097727,53160180,53234252,53328487,53351167,53396311,53513498,53552047,53574007,53677404,53894767,53922248,54038911,54055323,54079447,54099607,54139711,54170498,54291972,54297247,54414064,54616711,54670927,54794911,54823898,55130156,55161607,55255567,55286311,55349175,55577911,55610525,55803127,55925887,56058905,56128711,56163633,56178956,56201287,56231311,56248706,56344927,56439967,56456311,56472462,56518807,56583607,56590447,56617087,56623497,56636311,56695711,56704192,56757487,56784487,56801047,56823727,56866567,56907967,56909911,56911711,56911927,56963310,57015692,57201400,57244569,57313448,58058732,58365693,58460622,58542626,58738356,58741710,58994732,59039120,59131953,59711757,59796866,60130473,60154062,60272212,60394558,60542498,60662529,60666266,60690248,60760864,60858956,61054968,61215822,61284377,61972813,62080278,62179341,62262146,62295630,62383898,62404556,62642877,62657824,62813265,62990498,63713666,63792216,64105510,64147532,64249772,64351575,64477629,64633300,64760492,65168492,65393576,65677772,65875677,65891875,66419010,66437786,66448672,66693932,66732630,67000816,67019906,67050905,67135898,67270686,67408925,67633565,68276529,68355972,68641680,68686839,68735816,68744666,69331065,69425498,70490052,70526156,70794717,70846944,70884573,71085425,71181472,71632505,71652280,71766243,71826572,72299110,72723692,73022156,73185626,73217792,73341785,73401626,73567773,73939106,73953136,74023025,74259065,74361309,74708012,74754756,75300812,75375918,75424898,76038056,76926612,76985498,77088386,77116785,77221890,77327793,77559960,77906306,78153117,78423425,78513698,78747409,79070250,79125932,79702812,79988937,80079156,80084150,80098892,80461086,80566205,80598746,80608815,80874956,80890710,80995065,81085826,81145265,81160278,81165452,81513113,81672333,82049186,82257904,82370016,82430498,82730624,82763601,82998572,83197278,83373698,83990081,84279425,84341600,84761498,84799385,84915692,85302510,85307546,85542813,85646638,85959006,85982736,86103160,86154956,86277940,86283424,86394736,86472866,86630156,86717553,86758932,86805166,87090266,87186248,87254955,87294092,87317097,87437265,87465389,87549110,87578156,88010142,88218146,88532590,88730498,88827630,89069186,89110878,89252285,89276492,89464556,89988698,90071426,90482906,90989344,91133786,91579300,91695746,92540142,92666268,92720666,92927841,93015181,93039425,93071952,93198956,93266416,93329705,93476972,93492506,93568898,94108110,94131250,94324898,94623266,94749472,94884300,95046956,95157033,95224925,95228637,95504546,95599016,95962875,96100980,96278369,96443277,96679446,96730578,96866055,97068852,97135706,97194078,97374318,97956506,98084529,98271485,98558498,98704556,98887898,98932749,99127217,99911057,99917786,...,369597242010880630494479899809579882922311257475418410316817120682691001438599772292306977027908173754104530752299923671762760284864310474891224506528982549386878459500108091149092627417433751551335269631157179000311652470662017076904066178459547661023450526326606815167831211587239434861050518480394011234641061474457157776579520303178919536494802028883339608920707791719621485939797500172748677572896439303018525537905137444281399687386454459717082337339149403321749629151454326090597204108410526608531757768165374671459342976289166027143891514203471100718686268403243384853353750335497301061966159968875058844546305469360483819997098445439155234253288821153478006576905134496752424436612027514823962694864843585126911511335743855222314549738116522313956239500137609732161423807012007459785090402265185880780791507185807702870886915085679246825800555081876728529732423623895416134786903173586505772242622143760074969320766062410043246214097548211734268830990903103749762437425091128079454292584217103354342494912216459721072752110126278627907538854887818614311922003857213860100083935004164954146363720734399238182505571557175585757905313702380344702269985672237770783686658623951369212119521771328817637020069303310750258629291031086962636022183866756628368230804161036834559086581299999801409403568248176327292413058090839100562270417376592810820292269163936891170953064103010499427608918085809355000860350635566548908244955847711743464153955407665740601299655951179158844272782503278557136187718543957440849531968989726075378195331632337341665126017904765235405468207131062737113995771801929208921203688947586139805731013763263884246765445098274392801850240991090133535618508402978085474098939888897436949807714424274813451113975344529737437127865078841226435125267861826446309740351517606654575310196773574785615442838023922184157588619251230638626259915149511839695364660617724575872024443099998884177929038914233504465896410319331101555381533186012499891494043317157461703294848375823767558217218086439025037028116625499760936706076116527942867787273003038729141738922110621043666999234848760163449237179150029917388823259917618533567892617011613822529728385026558388077157038502189135265892206511586304498684436783006791909122977637229014011107489483314426788641639544319213291613405599479157604358422801388915225251279067199687674398771240155775341396093704084226952516180280667078098219844}
15089   392760221659288485207404249313829958247182710391730375316061652: {120664,135747,527695,587847,633234,753850,829015,904620,964928,994818,1085544,1221237,1477154,1732015,2078418,2110220,2333215,2532264,2799858,2816407,2848797,3014600,3055759,3287847,3391425,3617520,3858688,3983215,4006226,4069710,4341024,4365370,4500847,4629747,4779858,4862119,4883652,5030695,5090618,5238444,5329615,5723180,6036834,6232899,6395538,6867816,7031559,7169036,7297347,7566415,7616818,7726293,7771027,8614892,8700634,8887539,9079698,9497695,10076407,10238695,10241480,10476607,11397234,11518039,11521665,11840479,12286434,12289776,12641071,13611459,13710067,13825998,14082194,14369815,14579048,14663695,14872364,15058039,15122119,15429639,16401429,16463847,16804658,16914970,17243778,17301415,17596434,17885815,17947831,18300847,18726199,19034247,19052695,19086607,19388264,19489615,19492066,19585810,19780796,19909267,20056359,20071615,20117420,20297964,20346914,20462719,20558265,20761698,20821879,20886547,21133586,21462978,21538627,21811797,21928816,22669279,22841731,22849347,22863234,23116615,23387538,23405695,23502972,23810618,24085938,24140904,24353637,24416215,24468631,24474125,24669918,24832339,24848695,25168616,25568695,25649036,25966425,26000215,26058067,26210719,26366259,26606359,26613704,27005695,27060634,27158517,27697520,27739938,27892879,28086834,28258280,28314693,28438652,28441810,28602547,28725511,28992425,29067020,29299458,29368950,29439415,29659927,29818434,29940417,30682434,31159710,31200258,31277587,31326880,31559906,31577215,31790565,31807299,32046092,32112679,32156467,32406834,32466754,32570131,32800754,33237024,33395839,33422695,33847615,33909936,34130172,34506307,34665319,34790910,34880424,35237026,35242740,35327298,35474770,35710426,35825815,36161461,36641480,36998899,37082947,37110304,37183171,37225810,37391652,37497199,37592256,37799959,37817996,37892658,37936615,38077015,38105119,38148678,39240477,39338815,39408019,39758695,39772839,39846970,40024658,40107234,40224674,40294892,40617138,40937347,41105594,41221665,41299471,41417750,41547859,41749092,41898967,42043029,42087247,42223665,42291288,42569724,42868412,42990978,43636819,43923026,43969776,44670972,44676559,44959447,45026146,45038576,45085580,45395539,45523938,45650739,45685388,45692418,45737527,45819607,45937810,45969799,45991519,46059884,46703695,46830367,46858220,47041279,47041347,47117215,47181967,47206578,47260111,47577699,47612306,47668015,47710434,47816364,48194247,48484591,48493015,48767695,48817999,48966439,48981319,49179415,49354994,49465998,49592467,49616168,49701300,49881667,50051225,50149267,50483847,50517907,50644291,50645647,50668398,51358639,51403546,51659230,52855570,52977459,53014720,53103967,53154919,53165756,53276815,53423097,53652999,53693827,53873431,53995891,54102696,54227695,54231848,54499015,54644887,54774579,54825596,55125372,55818189,55871887,56044434,56228227,56229864,56297170,56308447,56540658,56715271,57201618,57219379,57240439,57444339,57463820,57464794,57783799,58142588,58191618,58521234,58587698,58625714,58664386,59015298,59289079,59426247,59460127,59641560,59645379,60061470,60106629,60143839,60472364,60737799,60762607,60821839,60865533,61010829,61280131,61289779,61363615,61895527,61991076,62283788,62297695,62459959,62624959,62695745,62747180,62906439,62963695,63241207,63258597,63426684,63598925,63617664,63932178,64017859,64065568,64292695,64419799,64485586,64558015,64708994,64778767,64850770,65053479,65073234,65264840,65398818,65702170,65995831,66450225,66533299,66538306,66542815,66762391,67096755,67178919,67347571,67371439,67402810,67556604,67563847,67813058,67864965,67876567,68017580,68046259,68684239,68734339,68897996,68912695,68956584,69341324,69686611,69909699,70223695,70326579,70418119,70504999,70691731,70880240,70950279,71121907,71269615,71364999,71501750,71569872,71641810,71975666,72073764,72252631,72319699,72331879,72389296,72573415,73195459,73422945,73499767,73614199,73618354,73636338,73743415,73798900,74039619,74285714,74688079,74757234,74884844,75234894,75296616,75340265,75347827,75497996,75556434,75595394,75862810,75951080,76073695,76085218,76129747,76287967,76318710,76326092,76801399,77090707,77151234,77269978,77469618,77576157,77715298,77820924,77947496,78005695,78083139,78099871,78163987,78283047,78317808,78322280,78532639,78600818,78842604,78854978,79287919,79615676,79740270,79836679,79851378,80173964,80184415,80205416,80270247,80312215,80516106,80791625,80883372,80950615,81103831,81255747,81406624,81437958,81460615,81504019,81608114,81621096,81741970,82097215,82235847,82359391,82563571,82695234,82773704,82905788,82947607,83060840,83075779,83210599,83367415,83426167,83523836,83649139,83751020,83792851,84268434,84271447,84373059,84662359,84708693,85056288,85377799,85444965,85523538,85708018,85802100,85919770,85970172,86106098,86509687,87088098,87210931,87351559,87618106,87624154,87690933,87813939,87834236,88027507,88107534,88112565,88157695,88492098,88558680,88857319,88961911,88976840,89249237,89373847,89565350,89694248,89695299,89783215,89793439,90231093,90408318,90591837,90626626,90813747,90904615,90999399,91035372,91141296,91277695,91288434,91522240,91549039,91582452,91823733,92036959,92227327,92441420,92785906,93120417,93206359,93385015,93393219,93443445,93575847,93606834,93986736,94126015,94208899,94336351,94392956,94462592,94485747,94512764,95047570,95240479,95291218,95402131,95445079,95570499,95688324,95853367,96158265,96221298,96222547,96374658,96624226,96949950,97068739,97098679,97140738,97752738,98090364,98146807,98492671,98516658,98706919,98907415,99148412,99495074,99628515,99656679,99673008,99903106,...,554395863016320945741719849714369824383466886213127615475225681024036502157899658438460465541862260631156796128449885507644140427296465712336836759793473824080317689250162136723638941126150627327002904446735768500467478705993025615356099267689321491535175789489910222751746817380859152291575777720591016851961592211685736664869280454768379304742203043325009413381061687579432228909696250259123016359344658954527788306857706166422099531079681689575623506008724104982624443727181489135895806162615789912797636652248062007189014464433749040715837271305206651078029402604865077280030625503245951592949239953312588266819458204040725729995647668158732851379933231730217009865357701745128636654918041272235944042297265377690367267003615782833471824607174783470934359250206414598242135710518011189677635603397778821171187260778711554306330372628518870238700832622815092794598635435843124202180354760379758658363933215640112453981149093615064869321146322317601403246486354655624643656137636692119181438876325655031513742368324689581609128165189417941861308282331727921467883005785820790150125902506247431219545581101598857273758357335763378636857970553570517053404978508356656175529987935927053818179282656993226455530103954966125387943936546630443954033275800134942552346206241555251838629871949999702114105352372264490938619587136258650843405626064889216230438403745905336756429596154515749141413377128714032501290525953349823362367433771567615196230933111498610901949483926768738266409173754917835704281577815936161274297953484589113067292997448506012497689026857147853108202310696594105670993657702893813381805533421379209708596520644895826370148167647411589202775361486635200303427762604467128211148409833346155424711571636412220176670963016794606155691797618261839652687901792739669464610527276409981862965295160362178423164257035883276236382928876845957939389872724267759543046990926586863808036664649998326266893558371350256698844615478996652333072299779018749837241064975736192554942272563735651337325827129658537555542174938249641405059114174791914301680909504558093712608383165931565500498852273140245173855768725044876083234889876427800351838925517420733794592577539837582115735557753283702898838309767379456748026655174510187863684466455843521016661234224971640182962459316478819937420108399218736406537634202083372837876918600799531511598156860233663012094140556126340428774270421000617147329766}
15090   394533704131258774381024216277086640376689256860714979265570593: {105581,150830,180996,196001,256241,331694,436769,556961,783796,844312,886829,949851,1096241,1130775,1206160,1326424,1356930,1447392,1492227,1603181,1628316,2078189,2132414,2215731,2255789,2492141,2637775,2771224,2875121,2963309,3117627,3139469,3165330,3315341,3376352,3549389,3733144,3768250,3798396,3899501,3918734,3986849,4096574,4103201,4199787,4335521,4383796,4451822,4521900,4538381,4596269,4823360,4885229,4971761,5144609,5202161,5288429,5403341,5426280,5489441,5690654,5788032,5867054,6009339,6104565,6172996,6175649,6346481,6373144,6511536,6548055,6687281,6743969,6772301,6984592,7153975,7169787,7280909,7325478,7623134,7635927,7857666,7871009,7955021,8049112,8094881,8290349,8310532,8513261,8527384,8584770,8707889,8961295,9055251,9157088,9261809,9289421,9364814,9375412,9427361,9510029,9593307,9729796,9839981,10086689,10230254,10301724,10659821,10753554,10768615,11012849,11256461,11391521,11425227,11435822,11553329,11850052,11956589,12106264,12292622,12544781,12634334,12756667,12801850,12922338,13050951,13145822,13261361,13314209,13393421,13486094,13619547,13656014,13867181,14207729,14338349,14520881,14598989,14884769,15196312,15272909,15298721,15362220,15684941,16381912,16386368,16502861,16522622,16832801,16883441,16964731,17060429,17095851,17287409,17357822,17413229,17714381,17814509,17939489,18148612,18223810,18263501,18429651,18434664,18521054,18590455,18685169,18759341,18932129,19153709,19187714,19276529,19512494,20033549,20170574,20300321,20372909,20572852,20662541,20662622,20738997,21022961,21123291,21190541,21738401,21805694,21833249,21868572,21904301,21951796,22022539,22308546,22399649,22681121,22868129,22991704,23031341,23286991,23379761,23449229,23461912,23657201,23909822,24185741,24235330,24277229,24619169,24725995,24732749,24755441,25032734,25139981,25146775,25206987,25207601,25372455,25378996,25410029,25830494,25865667,26035661,26146721,26307422,26394651,26478701,26741812,26764961,27063952,27071729,27093581,27137261,27159089,27398669,27411020,27615629,27680561,27682264,27983527,28133069,28617304,28752161,28985534,29069741,29082396,29090849,29217329,29238099,29378715,29511329,29671194,29762081,29907821,29949389,30176130,30218801,30383921,30446946,30465796,30484312,30520371,30541454,30835361,31142547,31183384,31242401,31337296,31460770,31686449,31700379,31907021,31967009,31986989,32061295,32114584,32187872,32194467,32265869,32404721,32471516,32641841,32799281,32848334,32893224,33000974,33034481,33229601,33267130,33346289,33443309,33559469,33578801,34065422,34097741,34294851,34307489,34421489,34621900,34761761,34821422,34893389,35081307,35155012,35155469,35230061,35254458,35322850,35548315,35573822,35601101,35715927,36005549,36023534,36128907,36211356,36333775,36442349,36641009,36713009,36981869,36986584,37004877,37017581,37248929,37337549,37355249,37449112,37496561,37513214,37725101,37752924,37760141,37882529,37934861,38074061,38473554,38488589,38540081,38547422,38557229,38915489,38966381,39017201,39065944,39158600,39281822,39303821,39404429,39408754,39504749,39521441,39654689,39671309,39757912,39853601,39920556,40018481,40057615,40215281,40313249,40590951,40653869,40878989,40895009,40909912,41029694,41134349,41308721,41419181,41544941,41546280,41600344,41609907,41701421,42073709,42119921,42130251,42387420,42409732,42441389,42608369,42657978,42662715,42668849,42744269,42924461,43148081,43185374,43209112,43251821,43281389,43414147,43472801,43600530,43612622,43764641,43779149,43851569,43866029,43949187,44038574,44053425,44316032,44381261,44409581,44494349,44508449,44727651,44745614,45134669,45213248,45285281,45421361,45506896,45744689,45801850,45931169,45944429,46009214,46023651,46023821,46089761,46129229,46387880,46507232,46635761,46739565,46763681,46800387,46990320,47103064,47180141,47272495,47339859,47354189,47356738,47428301,47452867,47551181,47612321,47794541,48022769,48069138,48200909,48271661,48470561,48586481,48610251,48621101,48700131,48781709,48912254,48952049,49019681,49165229,49201131,49320461,49331489,49397489,49458014,49485041,49561229,49855536,49978529,50094029,50123008,50136974,50198189,50229281,50368615,50383661,50444909,50505869,50523544,50556449,50566541,50706989,50855729,50864904,51195258,51272141,51376289,51572429,51581681,51710369,51765041,51792269,51885422,51900461,51927329,51989741,52095821,52113389,52186365,52295921,52320636,52381601,52500209,52625549,52650401,52757261,52855539,52864110,52974881,52990947,53022449,53030452,53212155,53213822,53232941,53339789,53347361,53362481,53370029,53407649,53476312,53497121,53565639,53585515,53672609,53701409,53808269,53906381,53927201,54050609,54057389,54118049,54135134,54156184,54158129,54230861,54266174,54347789,54392561,54480929,54499661,54683021,54777869,54807089,54812909,54899249,54962220,55109921,55126061,55179422,55195169,55298849,55303949,55344461,55404269,55448369,55467761,55482221,55506161,55520429,55609121,55663649,55665456,55677101,55725809,55794929,55816109,55838715,55931021,55938989,55942961,55962701,55974449,55990001,56057372,56087478,56142029,56145569,56214689,56218061,56274161,56298220,56312369,56340269,56356975,56361521,56376461,56388384,56411501,56453681,56470049,56472749,56509709,56525069,56592941,56626721,56631089,56709869,56726994,56752301,56759632,56812781,56815469,56816801,56832161,56838987,56865521,56881229,56882081,56888609,56910641,56918189,56923661,56924909,56925581,56926241,56926769,56927009,57106735,57223017,57321304,57574855,58130414,58572775,58626368,58761854,59561296,59770455,60036987,60160851,60337011,60442338,60698584,60867652,60881822,60923224,60925707,61251614,61658391,61742654,61865054,62020210,62126625,62474894,62623638,62721796,62942104,63340634,63436932,63613912,63755152,63854586,63923822,64258996,64302618,64486467,64759454,65115422,65884539,65954664,66268400,66457195,66642974,67006458,67108094,67293787,67311796,67539219,67557864,67628370,67686254,67789810,68204059,68285907,68528082,68531995,68538627,68906715,69089826,69172622,69512174,69962894,70179739,70287330,70636612,70809867,71190494,71230796,71411822,71418459,71537332,71565651,71724546,71829775,71962622,72136928,72426991,72678235,73032772,73500496,74032491,74198997,74424252,74551950,74662622,74725912,74973152,75387544,75590455,75926654,76002597,76268824,76447214,76592452,77067134,77105319,77488845,77588824,77783822,77854735,78028312,78433975,78482467,78687064,78996014,79234996,79283355,79295822,79522080,79527172,79594334,79748634,80081960,80142172,80580014,80970254,80983732,81154044,81347772,81581050,81743822,82238394,82654768,82688058,82981214,83875252,83916494,84066651,84344796,84445755,84562622,84568912,84810987,84823552,85021975,85242904,85292414,85802427,86122495,86195730,86197191,86676655,86737972,86764312,87134707,87198424,87213882,87287427,87426494,87513614,87687422,87781851,87881547,87938571,87996579,88522947,88600300,88718174,88972622,89462340,89571892,89747714,90075472,90092205,90486620,90635822,90708546,91102891,91845422,91942112,92004254,92248625,92633822,92986614,93212932,93407822,93425682,93606055,93768772,93871267,94016654,94120770,94317614,94372495,94600372,94686991,94764734,94938850,95059934,95140026,95153332,95407615,95426496,95898267,96098352,96333679,96728379,97063491,97276155,97434370,97609851,97897260,97902850,98098227,98181784,98222174,98553255,98621774,98719492,98753822,98950814,99519595,99598094,99676312,99807459,...,831593794524481418612579774571554736575200329319691423212838521536054753236849487657690698312793390946735194192674828261466210640944698568505255139690210736120476533875243205085458411689225940990504356670103652750701218058989538423034148901533982237302763684234865334127620226071288728437363666580886525277942388317528604997303920682152568957113304564987514120071592531369148343364544375388684524539016988431791682460286559249633149296619522534363435259013086157473936665590772233703843709243923684869196454978372093010783521696650623561073755906957809976617044103907297615920045938254868927389423859929968882400229187306061088594993471502238099277069899847595325514798036552617692954982377061908353916063445898066535550900505423674250207736910762175206401538875309621897363203565777016784516453405096668231756780891168067331459495558942778305358051248934222639191897953153764686303270532140569637987545899823460168680971723640422597303981719483476402104869729531983436965484206455038178772158314488482547270613552487034372413692247784126912791962423497591882201824508678731185225188853759371146829318371652398285910637536003645067955286955830355775580107467762534984263294981903890580727268923985489839683295155932449188081915904819945665931049913700202413828519309362332877757944807924999553171158028558396736407929380704387976265108439097333824345657605618858005134644394231773623712120065693071048751935788930024735043551150657351422794346399667247916352924225890153107399613760632376753556422366723904241911446930226883669600939496172759018746533540285721779662303466044891158506490486554340720072708300132068814562894780967343739555222251471117383804163042229952800455141643906700692316722614750019233137067357454618330265006444525191909233537696427392759479031852689109504196915790914614972794447942740543267634746385553824914354574393315268936909084809086401639314570486389880295712054996974997489400340337557025385048266923218494978499608449668528124755861597463604288832413408845603477005988740694487806333313262407374462107588671262187871452521364256837140568912574748897348250748278409710367760783653087567314124852334814641700527758388276131100691888866309756373173603336629925554348257464651069185122039982761765281795526699683765281524991851337457460274443688974718229906130162598828104609806451303125059256815377901199297267397235290350494518141210834189510643161405631500925720994649}
15091   396315130490595102726698734770002321418305177099238025473377344: {15091,226245,241328,271494,497541,738773,979745,1055390,1160621,1175694,1266468,1507700,1658030,1809240,1929856,1989636,2035395,2171088,2424821,2442474,2954308,3147749,3198621,3266501,3328481,3464030,4156836,4220440,4666430,4747995,5064528,5434133,5479745,5576501,5599716,5632814,5652375,5697594,5878101,6029200,6111518,6144861,6575694,6677733,6782850,7042973,7235040,7461461,7716245,7717376,7966430,8012452,8139420,8535981,8682048,8730740,8800581,9001694,9183941,9259494,9559716,9724238,9767304,10061390,10181236,10388165,10476888,10592981,10659230,10987661,10988217,11064581,11434701,11446360,11709149,11719265,11786499,11908481,12073668,12162245,12465798,12791076,12791381,12877155,13296773,13512869,13735632,14047221,14063118,14334173,14338072,14594694,14812565,15132830,15233636,15345381,15452586,15542054,15568481,15986861,16130331,16829573,17153733,17229784,17401268,17775078,18159396,18438933,18951501,18995390,19202775,19383507,19718733,20017661,20117741,20152814,20229141,20477390,20482960,20484021,20529173,20558273,20953214,21211073,21873941,22685765,22774721,22794468,23036078,23043330,23680958,24221981,24572868,24579552,24684101,24783933,24797069,25040141,25282142,25336253,25454741,25716065,25772021,26036733,26673773,26994773,27222918,27285461,27335715,27420134,27439745,27651996,27781581,28100261,28164388,28739630,28781571,28917473,29158096,29268741,29294333,29327390,29744728,30116078,30244238,30255861,30859278,30993933,31605101,31723745,32270573,32363261,32708541,32767973,32802858,32927694,33427265,33462819,33609316,33829940,34182701,34263775,34326053,34487556,34510949,34602830,34788173,35052641,35192868,35771630,35796173,35864733,35895662,36352995,36400301,36601694,36964421,37409669,37452398,37549101,37807973,38068494,38082245,38105390,38173214,38307341,38491973,38745741,38776528,38979230,38984132,39171620,39360341,39461133,39561592,39818534,40112718,40143230,40234840,40589395,40595928,40693828,40780181,40925438,41116530,41158301,41215181,41523396,41643758,41773094,42247013,42267172,42925956,42956261,43077254,43277375,43478301,43623594,43825301,43857632,43943765,44208101,44506791,45264195,45338558,45670419,45683462,45698694,45726468,45812181,46063061,46233230,46775076,46791773,46811390,47005944,47191155,47386661,47621236,47728013,47757701,48171876,48281808,48380501,48707274,48832430,48937262,48948250,49272501,49339836,49501461,49516961,49664678,49697390,49900695,50156141,50337232,50519429,50842781,50849693,51098133,51137390,51210149,51298072,51932850,52000430,52116134,52232133,52359341,52421438,52732518,52881687,52984275,53012165,53111261,53212718,53227408,53307821,53360733,53680673,54011390,54035301,54053441,54121268,54317034,54561293,55074341,55395040,55479876,55662173,55699649,55785758,56173668,56269821,56300141,56516560,56552309,56629386,56877304,56883620,56978261,57205094,57451022,57710331,57821133,57984850,58134040,58598916,58737900,58878830,58922733,58951061,59113131,59175173,59319854,59396381,59636868,59702981,59880834,60154613,60626669,61364868,61544541,61974581,62319420,62360621,62400516,62555174,62653760,63119812,63121181,63154430,63377981,63456341,63581130,63614598,63986967,64092184,64120661,64225358,64312934,64580321,64581893,64778061,64813668,64914821,64933508,65140262,65385173,65400795,65418933,65601508,65964101,66057861,66288065,66451541,66474048,66603521,66735221,66791678,66845390,67118421,67141973,67695230,67819872,67890221,67911149,68055413,68143373,68260344,68274773,68702775,68851181,69012614,69013821,69330638,69581820,69679073,69760848,70019093,70071715,70372775,70474052,70485480,70654596,70681349,70949540,71035107,71420852,71651630,72048869,72103707,72322922,72331781,72421973,73125341,73282960,73368381,73997798,74165894,74187021,74220608,74366342,74451620,74587541,74783304,74994398,75184512,75205461,75274541,75599918,75635992,75676661,75785316,75873230,75918773,76084565,76154030,76210238,76297356,76298621,76792887,77068973,77470301,77704061,77828133,77995073,78174701,78402245,78480954,78677630,78816038,79296165,79517390,79545678,79693940,79820733,79838981,80049316,80214468,80217761,80323745,80449348,80589784,81202701,81234276,81399261,81874694,82186061,82211188,82274693,82443330,82598942,82769133,82835500,83095718,83221793,83486069,83498184,83544773,83746421,83797934,84086058,84131217,84139745,84174494,84428273,84447330,84582576,85090491,85139448,85389473,85736824,85909061,85981956,86153213,86244833,86536673,86863361,87195621,87216773,87273638,87445061,87771773,87774043,87846052,87939552,88039349,88142781,88149173,88295765,88949261,89038495,89341944,89353118,89421665,89807621,89918894,90009773,90052292,90077152,90171160,90381221,90663507,90723533,90791078,90873269,91047876,91290965,91301478,91322733,91370776,91384836,91475054,91639214,91875620,91877421,91939598,91977569,91983038,91986773,92050541,92119768,92229701,92375621,92613981,92706149,92797581,93030315,93159941,93407390,93660734,93712341,93716440,93935457,94082558,94082694,94234430,94363934,94413156,94520222,95010951,95155398,95224612,95336030,95420868,95632728,95720669,95740565,95781879,95885733,95969813,96388494,96453927,96477773,96726221,96969182,96986030,96993713,97139181,97402421,97535390,97628213,97635998,97673133,97889453,97932878,97962638,98313173,98358830,98464949,98594561,98709988,98931996,99043745,99184934,99232336,99402600,99408965,99489821,99763334,99777461,99964461,...,1108791726032641891483439699428739648766933772426255230950451362048073004315799316876920931083724521262313592256899771015288280854592931424673673519586947648160635378500324273447277882252301254654005808893471537000934957411986051230712198535378642983070351578979820445503493634761718304583151555441182033703923184423371473329738560909536758609484406086650018826762123375158864457819392500518246032718689317909055576613715412332844199062159363379151247012017448209965248887454362978271791612325231579825595273304496124014378028928867498081431674542610413302156058805209730154560061251006491903185898479906625176533638916408081451459991295336317465702759866463460434019730715403490257273309836082544471888084594530755380734534007231565666943649214349566941868718500412829196484271421036022379355271206795557642342374521557423108612660745257037740477401665245630185589197270871686248404360709520759517316727866431280224907962298187230129738642292644635202806492972709311249287312275273384238362877752651310063027484736649379163218256330378835883722616564663455842935766011571641580300251805012494862439091162203197714547516714671526757273715941107141034106809957016713312351059975871854107636358565313986452911060207909932250775887873093260887908066551600269885104692412483110503677259743899999404228210704744528981877239174272517301686811252129778432460876807491810673512859192309031498282826754257428065002581051906699646724734867543135230392461866222997221803898967853537476532818347509835671408563155631872322548595906969178226134585994897012024995378053714295706216404621393188211341987315405787626763611066842758419417193041289791652740296335294823178405550722973270400606855525208934256422296819666692310849423143272824440353341926033589212311383595236523679305375803585479338929221054552819963725930590320724356846328514071766552472765857753691915878779745448535519086093981853173727616073329299996652533787116742700513397689230957993304666144599558037499674482129951472385109884545127471302674651654259317075111084349876499282810118228349583828603361819009116187425216766331863131000997704546280490347711537450089752166469779752855600703677851034841467589185155079675164231471115506567405797676619534758913496053310349020375727368932911687042033322468449943280365924918632957639874840216798437472813075268404166745675753837201599063023196313720467326024188281112252680857548540842001234294659532}
15092   398104536034651106289825183376316329180275819381540045151820269: {211162,286387,301660,361992,392002,407241,466891,512482,663388,873538,916891,1113922,1186027,1567592,1583085,1633147,1688624,1763541,1773658,1884625,1899702,2192482,2261550,2412320,2433427,2487045,2652848,2713860,2894784,2984454,3206362,3256632,3315787,3579091,3663711,3692885,4016491,4156378,4264828,4431462,4511578,4625827,4984282,5196045,5275550,5542448,5576227,5750242,5926618,6005347,6235254,6278938,6330660,6432667,6630682,6752704,6773227,6999645,7098778,7281907,7466288,7536500,7596792,7799002,7837468,7872091,7973698,8193148,8206402,8399574,8449221,8546391,8671042,8767592,8875627,8903644,9043800,9076762,9124891,9167277,9192538,9290707,9538891,9646720,9703987,9770458,9863541,9943522,9951091,10015565,10174275,10289218,10404322,10576858,10770091,10806682,10852560,10913425,10978882,11014387,11381308,11576064,11581891,11734108,11949645,12018678,12209130,12345992,12351298,12545813,12692962,12726545,12746288,13023072,13024987,13096110,13374562,13487938,13502541,13544602,13889241,13969184,14209747,14307950,14339574,14366491,14561818,14586357,14650956,14912827,15076061,15092085,15246268,15271854,15300907,15715332,15742018,15764227,15910042,15988845,16098224,16189762,16301491,16580698,16621064,16835227,17026522,17054768,17169540,17415778,17922590,17967067,18110502,18314176,18523618,18578842,18698697,18729628,18750824,18854722,18934891,19020058,19042045,19156507,19186614,19450987,19459592,19679962,19890547,20173378,20460508,20603448,21094677,21319642,21337027,21507108,21537230,21751585,21892041,22025698,22512922,22684507,22699245,22783042,22850454,22871644,23106658,23178879,23313081,23383267,23700104,23729947,23913178,23937091,24212528,24585244,24759187,25089562,25268668,25436347,25513334,25603700,25844676,26026637,26101902,26106307,26172907,26291644,26504827,26522722,26628418,26662617,26786842,26972188,27097747,27163267,27239094,27312028,27424627,27734362,28394467,28415458,28493085,28676698,28777867,28905091,29041762,29095387,29197978,29348107,29536891,29769538,30161491,30229221,30347467,30392624,30545818,30597442,30716085,30724440,30964021,31206787,31369882,31429821,31510267,31872067,31992091,32763824,32772736,33005722,33045244,33059347,33071441,33176491,33293347,33584227,33642187,33665602,33766882,33929462,33930907,34120858,34191702,34332091,34446067,34554117,34564995,34574818,34616393,34715644,34826458,34899091,35205485,35428762,35521437,35629018,35878978,36297224,36447620,36448387,36527002,36719107,36859302,36869328,37042108,37180910,37361491,37370338,37518682,37783987,37864258,37923213,38305627,38307418,38375428,38512267,38553058,38563747,38666491,39023827,39024988,39427891,39528187,39678091,40067098,40341148,40563907,40600642,40745818,40834377,40902091,41130201,41145704,41325082,41325244,41477994,42011645,42045922,42219547,42246582,42287425,42381082,42448867,42857107,43109445,43303867,43476802,43611388,43666498,43737144,43786987,43808602,43873891,43903592,43960507,43991085,44045078,44516491,44617092,44799298,44885813,45060307,45174117,45362242,45366357,45429667,45736258,45753091,45952891,45983408,46062682,46150891,46288917,46573982,46657267,46759522,46810627,46898458,46923824,47301091,47314402,47819644,48031891,48210091,48371482,48470660,48491467,48554458,48630427,48730165,48964525,48972787,49174747,49204287,49238338,49341067,49391541,49451990,49465498,49510882,49767641,50065468,50114347,50208091,50279962,50293550,50413974,50415202,50424307,50454907,50576587,50744910,50757992,50820058,50867285,51051787,51480547,51592147,51660988,51731334,51811891,51904245,52000387,52071322,52293442,52392427,52468891,52519507,52544707,52614844,52669627,52789302,52833965,52957402,53080891,53358667,53381347,53483624,53493667,53529922,53538091,53657445,53691307,53712907,53843493,54069091,54127904,54143458,54187162,54274522,54318178,54683107,54790027,54797338,54822040,54825091,54902541,54911491,54996091,55029427,55127707,55207627,55231258,55316491,55361122,55364528,55537891,55566187,55580227,55743091,55782187,55907827,55956067,55967054,55991491,56080661,56158891,56178597,56179987,56231467,56266138,56329027,56356891,56419387,56428027,56486491,56502547,56634091,56685067,56768227,56792347,56831227,56835187,56896747,56904091,56910787,56918707,56923891,56938867,57102741,57158085,57234608,57259821,57504322,57971068,58139482,58164792,58181698,58434658,58468845,58476198,58757430,59022658,59342388,59524162,59526545,59727801,59815642,59898778,60169077,60214845,60352260,60437602,60767842,60893892,60931592,60968624,61040742,61082908,61388157,61670722,61674795,62285094,62366768,62465637,62484802,62659641,62674592,62921540,63372898,63400758,63814042,63934018,63973978,64122590,64229168,64375744,64388934,64531738,64615881,64809442,64943032,65283682,65435391,65598562,65696668,65786448,66001948,66068962,66181493,66459202,66534260,66692578,66886618,67118938,67157602,67651585,68007837,68130844,68195482,68525193,68548041,68589702,68614978,68842978,69243800,69349845,69523522,69642844,69786778,70162614,70217085,70310024,70310938,70460122,70508916,70516061,70645700,71096630,71104525,71147644,71202202,71431854,72011098,72047068,72257814,72422712,72667550,72884698,73060911,73248645,73282018,73405893,73422375,73426018,73963738,73973168,74009754,74035162,74497017,74497858,74546085,74675098,74710498,74898224,74993122,75019721,75026428,75450202,75505848,75520282,75765058,75869722,76148122,76706085,76947108,76977178,77080162,77094844,77114458,77830978,77899275,77932762,78000645,78034402,78131888,78174201,78317200,78563644,78607642,78632157,78808858,78817508,78899765,79009498,79042882,79098777,79309378,79342618,79515824,79529021,79707202,79819077,79841112,79949429,80036962,80115230,80430562,80604797,80626498,81017085,81166885,81181902,81307738,81475551,81757978,81790018,81819824,82001885,82059388,82268698,82617442,82838362,83089882,83092560,83200688,83219814,83402842,83678637,84147418,84239842,84260502,84774840,84819464,84882778,84944079,85216738,85315956,85325430,85337698,85488538,85807641,85848922,86176533,86296162,86370748,86418224,86503642,86562778,86828294,86945602,86977275,87201060,87225244,87529282,87558298,87703138,87732058,87898374,88077148,88092565,88106850,88318245,88632064,88686925,88762522,88819162,88979781,88988698,89016898,89276065,89455302,89491228,89821251,90269338,90426496,90570562,90842722,91013792,91489378,91603700,91862338,91888858,92018428,92047302,92047642,92179522,92258458,92775760,93014464,93040073,93064525,93271522,93479130,93527362,93600774,93832761,93980640,94206128,94360282,94544990,94679718,94708378,94713476,94731645,94856602,94905734,95102362,95224642,95371695,95421897,95589082,95944793,96045538,96138276,96304021,96338037,96401818,96469401,96543322,96941122,97172962,97220502,97242202,97385849,97400262,97563418,97710393,97824508,97904098,98039362,98330458,98402262,98640922,98662978,98794978,98916028,98970082,99122458,99617425,99711072,99957058,...,1663187589048962837225159549143109473150400658639382846425677043072109506473698975315381396625586781893470388385349656522932421281889397137010510279380421472240953067750486410170916823378451881981008713340207305501402436117979076846068297803067964474605527368469730668255240452142577456874727333161773050555884776635057209994607841364305137914226609129975028240143185062738296686729088750777369049078033976863583364920573118499266298593239045068726870518026172314947873331181544467407687418487847369738392909956744186021567043393301247122147511813915619953234088207814595231840091876509737854778847719859937764800458374612122177189986943004476198554139799695190651029596073105235385909964754123816707832126891796133071101801010847348500415473821524350412803077750619243794726407131554033569032906810193336463513561782336134662918991117885556610716102497868445278383795906307529372606541064281139275975091799646920337361943447280845194607963438966952804209739459063966873930968412910076357544316628976965094541227104974068744827384495568253825583924846995183764403649017357462370450377707518742293658636743304796571821275072007290135910573911660711551160214935525069968526589963807781161454537847970979679366590311864898376163831809639891331862099827400404827657038618724665755515889615849999106342316057116793472815858761408775952530216878194667648691315211237716010269288788463547247424240131386142097503871577860049470087102301314702845588692799334495832705848451780306214799227521264753507112844733447808483822893860453767339201878992345518037493067080571443559324606932089782317012980973108681440145416600264137629125789561934687479110444502942234767608326084459905600910283287813401384633445229500038466274134714909236660530012889050383818467075392854785518958063705378219008393831581829229945588895885481086535269492771107649828709148786630537873818169618172803278629140972779760591424109993949994978800680675114050770096533846436989956999216899337056249511723194927208577664826817691206954011977481388975612666626524814748924215177342524375742905042728513674281137825149497794696501496556819420735521567306175134628249704669629283401055516776552262201383777732619512746347206673259851108696514929302138370244079965523530563591053399367530563049983702674914920548887377949436459812260325197656209219612902606250118513630755802398594534794470580700989036282421668379021286322811263001851441989298}
15093   399901956216359218166654828790940743897464546673015210856626352: {30182,316743,377075,452490,482656,542988,588003,768723,829235,995082,1310307,1371643,1477546,1670883,1959490,2110780,2321242,2351388,2532936,2660487,2849553,3015400,3288723,3316060,3392325,3618480,3720067,3859712,3979272,4070790,4342176,4476681,4801907,4809543,4849642,4884948,5331035,5885723,5908616,6234567,6295498,6397242,6533002,6647193,6656962,6767367,6928060,7476423,7671643,7913325,8313672,8440880,8625363,8889927,9332860,9352881,9418407,9420625,9495990,9796835,9946023,10129056,10241435,10648167,10802743,10868266,10959490,11129555,11153002,11199432,11265628,11304750,11395188,11698503,11756202,11960547,12058400,12223036,12280327,12289722,12309603,12599361,13006563,13076323,13151388,13355466,13565700,13615143,13788807,14085946,14226635,14444791,14470080,14543431,14655687,14667635,14915283,14922922,15062051,15432490,15433827,15434752,15606483,15865287,15932860,16024904,16210023,16278840,16406971,16468323,17027143,17071962,17364096,17400067,17461480,17601162,18003388,18028017,18305723,18313695,18367882,18518988,18526947,18606467,18893563,19039443,19057835,19119432,19448476,19534608,19644165,20061843,20122780,20231907,20316903,20362472,20468171,20737591,20776330,20953776,21185962,21318460,21461925,21509361,21544391,21842727,21975322,21976434,22129162,22869402,22892720,22907781,23412035,23418298,23438530,23572998,23613027,23816962,23865063,23885683,24147336,24284643,24324490,24871047,24931596,25539783,25575635,25582152,25582762,25754310,26123667,26593546,26883885,27025738,27165753,27228611,27471264,27785427,27868263,28094442,28126236,28282083,28530087,28589555,28668346,28676144,28779921,29189388,29305627,29519943,29625130,30260067,30265660,30457843,30467272,30690762,30731555,30905172,31084108,31136962,31285991,31585835,31760071,31973722,31979463,32004625,32260662,32305845,32864555,33038547,33659146,33715235,33769383,34140035,34174563,34275681,34307466,34459568,34659987,34772987,34792931,34802536,35550156,35869767,36002491,36067111,36318792,36693367,36877866,37351483,37634343,37903002,37990780,38270001,38405550,38415643,38767014,38873243,39022247,39152853,39437466,39784083,39942627,40035322,40180263,40235482,40305628,40458282,40469083,40785667,40858641,40948391,40954780,40965920,40968042,41058346,41116546,41306555,41601543,41906428,42422146,42623187,42814087,43015047,43166023,43394555,43562643,43747882,43796967,43831667,44211427,44413243,44654307,45011207,45331571,45371530,45549442,45559525,45588936,45818727,45896163,46072156,46086660,46302635,46411571,46798171,47054823,47361916,47969285,48443962,48781235,48994427,49145736,49159104,49368202,49508583,49567866,49594138,49829771,50080282,50426435,50498403,50531591,50564284,50650323,50672506,50894193,50909482,50939507,51181287,51287553,51432130,51544042,51656555,51862227,52073466,52239687,53143143,53315143,53347546,53443527,53818467,53989546,54438163,54445836,54514235,54570922,54671430,54790503,54840268,54879490,55288953,55303992,55563162,55771365,56055507,56200522,56278023,56328347,56328776,56796387,56825153,57461127,57479260,57563142,57829587,57834946,58141127,58316192,58537482,58588666,58654780,58793123,59275163,59489456,59774555,60086923,60100647,60232156,60281251,60488476,60511722,60588325,60900963,61118727,61306247,61521271,61718556,61912091,61926887,61987623,61987866,62216991,62565131,62581835,62923687,63068883,63210202,63369873,63447490,63571623,64303207,64541146,64576235,64726522,65215203,65363447,65417082,65499747,65535946,65605716,65712903,65768555,65795843,65855388,66067617,66200263,66228923,66834547,66854530,66925638,67198947,67218632,67659880,68043363,68365402,68527550,68604387,68652106,68975112,69021898,69094023,69205660,69212387,69576346,69860973,70105282,70139283,70151371,70195723,70347687,70385736,70523867,70971603,71335847,71543260,71592346,71729466,71791324,72146171,72272387,72463835,72557223,72705990,72800602,72831687,73203388,73215047,73634123,73857507,73928842,74143091,74177985,74198247,74217031,74266323,74708147,74819338,74904796,75098202,75128231,75367991,75419943,75440325,75615946,75620961,75622803,75778963,76117365,76136988,76164490,76210780,76230087,76346428,76353635,76614682,76983946,77491482,77495303,77553056,77597001,77876611,77958460,77968264,78106983,78343240,78440163,78651925,78720682,78805991,78922266,79114471,79123184,79183953,79436103,79536251,79637068,79652563,79968467,80225436,80286460,80294883,80469680,81178790,81191856,81215187,81280743,81387656,81411783,81477267,81494503,81526007,81560362,81850876,82120835,82196007,82233060,82316602,82430362,82502435,82846887,83041683,83046792,83167825,83287516,83449091,83546188,83950581,84399207,84494026,84534344,84935171,85163555,85851912,85912522,86135911,86154508,86256483,86554750,86956602,87053555,87209223,87247188,87272547,87559643,87650602,87651987,87714297,87715264,87887530,88035527,88136145,88307125,88352723,88416202,88533987,88934555,88961227,89013582,89286243,89723463,89817851,89848167,89916167,90058835,90528390,90656403,90677116,91151763,91340838,91366924,91397388,91452936,91561113,91624362,92126122,92388283,92466460,92506083,92803291,93427641,93550152,93583546,93622780,93727203,93783035,93798907,94011888,94361011,94382310,94511747,94773322,95059347,95101137,95242472,95456026,95515402,95721063,95901027,95960967,96183885,96343752,96368555,96563616,96583401,96761002,96797607,97023571,97140391,97214163,97414548,97664860,97874524,97896500,97925523,98100401,98204555,98397843,98521885,98545002,98679672,98973043,99002922,99033922,99103443,99223027,99329356,99394780,99688803,99801390,...,2494781383573444255837739323714664209725600987959074269638515564608164259710548462973072094938380172840205582578024484784398631922834095705515765419070632208361429601625729615256375235067677822971513070010310958252103654176968615269102446704601946711908291052704596002382860678213866185312090999742659575833827164952585814991911762046457706871339913694962542360214777594107445030093633126166053573617050965295375047380859677748899447889858567603090305777039258472421809996772316701111531127731771054607589364935116279032350565089951870683221267720873429929851132311721892847760137814764606782168271579789906647200687561918183265784980414506714297831209699542785976544394109657853078864947131185725061748190337694199606652701516271022750623210732286525619204616625928865692089610697331050353549360215290004695270342673504201994378486676828334916074153746802667917575693859461294058909811596421708913962637699470380506042915170921267791911945158450429206314609188595950310896452619365114536316474943465447641811840657461103117241076743352380738375887270492775646605473526036193555675566561278113440487955114957194857731912608010935203865860867491067326740322403287604952789884945711671742181806771956469519049885467797347564245747714459836997793149741100607241485557928086998633273834423774998659513474085675190209223788142113163928795325317292001473036972816856574015403933182695320871136360197079213146255807366790074205130653451972054268383039199001743749058772677670459322198841281897130260669267100171712725734340790680651008802818488518277056239600620857165338986910398134673475519471459663022160218124900396206443688684342902031218665666754413352151412489126689858401365424931720102076950167844250057699411202072363854990795019333575575727700613089282178278437095558067328512590747372743844918383343828221629802904239156661474743063723179945806810727254427259204917943711459169640887136164990924992468201021012671076155144800769655484935498825349005584374267584792390812866497240226536810431017966222083463418999939787222123386322766013786563614357564092770511421706737724246692044752244835229131103282350959262701942374557004443925101583275164828393302075666598929269119520810009889776663044772393953207555366119948285295845386580099051295844574975554012372380823331066924154689718390487796484313829419353909375177770446133703597891802191705871051483554423632502568531929484216894502777162983947}
15094   401707426644910896275724572711482806702875010603984035632313101: {45273,165913,256309,422324,572774,603320,617173,678735,723984,784004,814482,933782,1024964,1326776,1492623,1747076,1833782,2049109,2216319,2227844,2372054,2638475,2934709,2939235,3135184,3166170,3266294,3374809,3377248,3481863,3527082,3547316,3725593,3769250,3799404,3900553,4145075,4162453,4384964,4523100,4597513,4824640,4866854,4974090,5117209,5170039,5203573,5305696,5427720,5789568,5968908,6106185,6412724,6513264,6631574,6745813,6830809,7158182,7274463,7327422,7339273,7385770,8032982,8097109,8312756,8529656,8660075,8862924,9023156,9251654,9347209,9443247,9595863,9799503,9842713,9968564,9985443,10392090,10551100,11070133,11084896,11152454,11500484,11666075,11853236,12010694,12470508,12557876,12601609,12661320,12865334,13261364,13317973,13505408,13546454,13999290,14021791,14082035,14197556,14243985,14264053,14563814,14889013,14932576,15073000,15193584,15278795,15354709,15598004,15674936,15744182,15947396,16201753,16302399,16386296,16412804,16431253,16439235,16507609,16583893,16729503,16799148,16888309,16898442,16957125,17092782,17342084,17535184,17634303,17751254,17807288,17817163,18087600,18153524,18249782,18334554,18385076,18434583,18581414,18838933,19077782,19293440,19407974,19540916,19727082,19887044,19902182,19916075,20031130,20033199,20046191,20160853,20348550,20578436,20808644,21128919,21153716,21244633,21540182,21613364,21673609,21705120,21826850,21957764,22028774,22029109,22384383,22504235,22734709,22762616,23148735,23152128,23163782,23468216,23899290,24037356,24310595,24418260,24691984,24702596,24808309,25091626,25147609,25153475,25385924,25417753,25453090,25492576,25607943,25887733,26046144,26049974,26192220,26401743,26648075,26658863,26749124,26975876,27005082,27089204,27145609,27407113,27551823,27732373,27778482,27861973,27938368,28419494,28615900,28679148,28732982,29123636,29142133,29172714,29301912,29825654,29958793,30152122,30184170,30269653,30452219,30492536,30543708,30601814,30701833,30885973,30947209,31164495,31430664,31484036,31528454,31778943,31820084,31977690,32196448,32379524,32395273,32602982,32691733,32962983,32964651,33045109,33161396,33193743,33242128,33395893,33670454,34053044,34109536,34304103,34339080,34606847,34829593,34831556,35127447,35157795,35334709,35359497,35725443,35845180,35934134,36221004,36486735,36490633,36593843,36628352,37029913,37047236,37157684,37397394,37459256,37501648,37709444,37772809,37832075,37869782,37982473,38040116,38084090,38313014,38373228,38374143,38631465,38855135,38901974,38919184,39359924,39781094,39867253,39890319,40261813,40346756,40538607,40921016,41206896,41559433,41933833,42141663,42165493,42189354,42639284,42674054,43002519,43014216,43074133,43074460,43163413,43296793,43503170,43517653,43780309,43784082,43823833,44051396,44383093,44425609,44437695,45013273,45025844,45369014,45398490,45465109,45566084,45700908,45743288,45828313,46027573,46036143,46213316,46357758,46626162,46705443,46766534,47400208,47446153,47459894,47488475,47556853,47630293,47826356,47874182,47960583,48390993,48425056,48489109,48868873,49139593,49170488,49287679,49372693,49518374,49796233,50113753,50176393,50179124,50382035,50485273,50488719,50537336,50872694,50905609,51026668,51193475,51207400,51225973,51311833,51461199,51621109,51689352,51731413,51921673,52053274,52134793,52203804,52212614,52345814,52383035,52420309,52583288,52647433,52795609,53009654,53045444,53060533,53256836,53325234,53385109,53573684,53608309,53845513,53908693,53944376,53950453,54134809,54195494,54326534,54478188,54624056,54725173,54849254,54952153,54985993,55293109,55308553,55316799,55369609,55429513,55468724,55531573,55904533,55965193,56024053,56403673,56481109,56489353,56597209,56625433,56632309,56639113,56659093,56672053,56788934,56827609,56830916,56831893,56844313,56854503,56870773,56947993,56953609,56956309,56957209,56986170,57353396,57555734,57590195,57608325,57810182,58083524,58150521,58190774,58395956,58696214,58816303,59073782,59156199,59202395,59539076,60052983,60322982,60353223,60458442,60687423,60694934,60785248,61091636,61194884,61432170,61448880,61452063,61587519,61674819,61928042,62413574,62739764,62859642,63020534,63205355,63633219,63744134,63984182,65527648,65545472,65621823,66011444,66090488,66118694,66142882,66352982,66586694,67168454,67284374,67331204,67533764,67858924,67861814,68057295,68222231,68241716,68324163,68383404,68550335,68664182,68892134,69108234,69129990,69149636,69232786,69431288,69652916,69798182,70410970,70857524,71042874,71214199,71258036,71757956,71849075,72594448,72665943,72895240,72896774,73054004,73318475,73438214,73718604,73738656,73967551,74052303,74084216,74351799,74361820,74391207,74568791,74722982,74740676,75037364,75120423,75290195,75567974,75610595,75728516,75846426,76008759,76364223,76611254,76614836,76750856,77024534,77106116,77127494,77148195,77316063,77332982,78047654,78049976,78110199,78855782,79056374,79356182,80021319,80134196,80682296,80984319,81127814,81201284,81491636,81668754,81804182,81856383,82007145,82260402,82291408,82319235,82650164,82650488,82955988,83337163,83344743,84023290,84091844,84300783,84439094,84493164,84574850,84762164,84897734,85714214,86218890,86344713,86507075,86607734,86752419,86953604,87222776,87332996,87474288,87573974,87617204,87747782,87806223,87807184,87882999,87921014,87982170,88090156,89032982,89234184,89429075,89598596,89739155,89771626,90120614,90348234,90724484,90732714,90767583,90859334,91472516,91504235,91506182,91905782,91966816,92125364,92301782,92577834,92981799,93147964,93314534,93519044,93621254,93630995,93796916,93847648,93988843,94602182,94628804,94712219,94815303,95171235,95263475,95433035,95639288,96063782,96420182,96742964,96811719,96941320,96982934,97089783,97108916,97260854,97448075,97460330,97929050,97945574,98125623,98303919,98349494,98408574,98476676,98682134,98783082,98903980,98930996,99021764,99535282,99546335,...,3326375178097925674450319098286218946300801317278765692851354086144219012947397950630762793251173563786940776770699313045864842563778794274021020558760842944481906135500972820341833646756903763962017426680414611002804872235958153692136595606135928949211054736939461336510480904285154913749454666323546101111769553270114419989215682728610275828453218259950056480286370125476593373458177501554738098156067953727166729841146236998532597186478090137453741036052344629895746662363088934815374836975694739476785819913488372043134086786602494244295023627831239906468176415629190463680183753019475709557695439719875529600916749224244354379973886008952397108279599390381302059192146210470771819929508247633415664253783592266142203602021694697000830947643048700825606155501238487589452814263108067138065813620386672927027123564672269325837982235771113221432204995736890556767591812615058745213082128562278551950183599293840674723886894561690389215926877933905608419478918127933747861936825820152715088633257953930189082454209948137489654768991136507651167849693990367528807298034714924740900755415037484587317273486609593143642550144014580271821147823321423102320429871050139937053179927615562322909075695941959358733180623729796752327663619279782663724199654800809655314077237449331511031779231699998212684632114233586945631717522817551905060433756389335297382630422475432020538577576927094494848480262772284195007743155720098940174204602629405691177385598668991665411696903560612429598455042529507014225689466895616967645787720907534678403757984691036074986134161142887118649213864179564634025961946217362880290833200528275258251579123869374958220889005884469535216652168919811201820566575626802769266890459000076932548269429818473321060025778100767636934150785709571037916127410756438016787663163658459891177791770962173070538985542215299657418297573261075747636339236345606557258281945559521182848219987899989957601361350228101540193067692873979913998433798674112499023446389854417155329653635382413908023954962777951225333253049629497848430354685048751485810085457027348562275650298995589393002993113638841471043134612350269256499409339258566802111033553104524402767555465239025492694413346519702217393029858604276740488159931047061127182106798735061126099967405349829841097774755898872919624520650395312418439225805212500237027261511604797189069588941161401978072564843336758042572645622526003702883978596}
15095   403520983086439801323970785195183475035817682495516908252679644: {60364,527905,633486,754150,859161,904980,965312,980005,1085976,1160929,1176006,1221723,1281205,1400673,1537446,1658470,1823833,1990164,2183845,2620614,2743286,2750673,2784805,2955092,3341766,3558081,3810433,3918980,4221560,4352629,4434145,4642484,4702776,4749255,4899441,5065872,5133073,5290623,5320974,5481205,5653875,5674981,5699106,6030800,6577446,6578161,6632120,6784650,7236960,7300281,7440134,7461135,7463449,7719424,7958544,8015905,8141580,8684352,8763073,8953362,9603814,9619086,9699284,9769896,9947361,10390945,10662070,10737273,10991133,11067529,11078655,11278945,11725153,11771446,11817232,12009769,12049473,12460705,12469134,12590996,12794484,13066004,13188875,13294386,13313924,13534734,13715569,13856120,13877481,14174233,14338009,14375605,14816545,14952846,15343286,15572629,15581377,15588135,15697345,15826650,16576705,16627344,16646113,16728681,16834057,16881760,17250726,17746945,17779854,18016041,18665720,18705762,18836814,18841250,18991980,19298001,19497505,19593670,19892046,19917289,19934245,20258112,20319681,20372641,20482870,20516005,20534689,20894929,20998935,21296334,21605486,21677605,21736532,21845721,21879769,21918980,21989461,22259110,22306004,22398864,22525129,22531256,22609500,22691905,22780789,22790376,22981345,23074981,23397006,23512404,23616273,23921094,24116800,24426145,24446072,24560654,24579444,24619206,24858805,25198722,25236853,25347663,25461553,25639173,25723045,26010805,26013126,26152646,26302776,26442145,26626881,26680969,26710932,27016705,27131400,27230286,27374673,27447205,27501831,27577614,27737557,27872121,28171892,28453270,28616673,28889582,28940160,29086862,29111961,29311374,29335270,29590623,29830566,29845844,29853273,30046695,30124102,30431977,30522825,30670201,30864980,30867654,30869504,30878245,31212966,31613593,31730574,31732405,31865720,32049808,32260129,32279209,32310273,32420046,32557680,32740275,32776849,32813942,32936646,33043161,33286969,33436405,33719845,33861505,34054286,34143924,34728192,34745673,34800134,34922960,35202324,35300857,35461561,35769875,35805889,35848935,36006776,36056034,36064081,36404545,36611446,36627390,36735764,36974353,37037976,37053894,37212934,37637439,37787126,37815157,38063113,38078886,38115670,38179635,38238864,38886217,38896952,39069216,39074961,39288330,39348793,39355045,39775105,40025377,40123686,40245560,40463814,40474405,40507623,40633806,40724944,40936342,41451745,41475182,41552660,41667723,41907552,41915929,42107797,42371924,42566305,42629241,42636920,42877153,42923850,43018722,43024177,43088782,43099473,43539445,43615513,43685454,43759071,43950644,43952868,44157553,44220169,44258324,44738481,44806475,45228183,45276255,45738804,45785440,45815562,45838069,45902721,46010377,46117201,46309045,46447105,46824070,46836596,46851841,46877060,47136805,47145996,47201329,47226054,47279077,47292681,47550145,47633924,47730126,47771366,47796049,47966535,48294672,48338089,48393553,48569286,48648980,48904473,49199905,49292917,49612369,49742094,49863192,50335657,50433445,50505681,50664697,50856553,51079566,51141121,51151270,51164304,51165524,51492529,51508620,51801061,52247334,52373353,53187092,53299105,53327929,53424361,53715673,53767770,53843075,53901201,54051476,54331506,54457222,54667129,54942528,55020337,55064245,55570854,55579897,55692097,55736526,55894309,56096091,56188884,56251129,56252472,56282305,56564166,56804673,56957605,57060174,57126135,57179110,57200473,57310009,57336692,57352288,57469521,57559842,57766645,57829177,57915061,58352961,58378776,58611254,59039886,59172457,59191009,59250260,59312917,59412529,59483989,59671641,59719153,59782945,60520134,60531320,60752377,60915686,60934544,61381524,61463110,61810344,61991233,62168216,62273924,62571982,62723905,63138073,63171670,63266809,63284031,63520142,63783335,63947444,63958926,64009250,64011081,64521324,64611690,64752949,64766713,64823689,64932193,65254755,65572489,65676123,65709961,65729110,66047881,66077094,66306805,66571045,66967105,67156999,67318292,67430470,67538766,68053521,68097735,68161609,68280070,68293729,68349126,68551362,68614932,68712241,68919136,69319974,69335905,69469873,69536637,69545974,69585862,69605072,69714577,69939243,70149801,70597009,70685269,70953409,71038645,71100312,71150449,71189841,71691745,71739534,71811273,72004982,72134222,72319177,72588601,72604405,72637584,72994945,73186321,73386734,73529929,73755732,74020561,74277561,74423845,74464753,74702966,75268686,75696913,75806004,75981560,76309041,76319929,76364545,76493605,76532497,76540002,76811100,76831286,77089849,77121769,77278417,77491033,77534028,77746486,78044494,78073129,78079911,78178081,78305706,78318921,78424705,78486697,78518721,78816793,78874932,79514481,79568166,79860433,79885254,79987851,80070644,80151433,80360526,80470964,80611256,80916564,80938166,81293241,81489801,81552001,81571334,81717282,81896782,81909560,81931840,81936084,82116692,82208233,82233092,82273881,82296961,82514305,82613110,82981369,83203086,83460553,83684377,83769433,83812856,84164005,84306001,84417205,84451189,84823655,84844292,84946597,85183401,85246374,85302145,85412821,85479255,85495897,85561633,85628174,85797457,86030094,86332046,86333601,86437045,86545393,86715273,86789110,86898169,87066145,87125286,87286161,87469129,87495764,87593934,87614569,87623653,87663334,88044321,88422854,88571905,88610673,88826486,88893457,89072545,89081257,89308614,89409781,89697445,90022414,90406729,90484473,90515401,90663142,90687663,90743060,90792769,91042401,91098884,91119050,91177872,91317505,91637454,91792326,92011489,92075977,92144312,92148255,92173320,92605270,92823142,92892063,92952275,93134353,93425845,93596342,93620361,93796705,94109646,94246777,94289463,94530801,94660645,94705657,94723832,95616201,95768545,95891989,95938570,95976273,95989681,96382645,96887924,97562470,97988854,98291472,98318208,98543617,98621653,98736404,98747161,99017166,99135732,99178041,99188276,99214323,99491641,99516553,99529473,99595681,99659542,99880041,...,4989562767146888511675478647429328419451201975918148539277031129216328519421096925946144189876760345680411165156048969568797263845668191411031530838141264416722859203251459230512750470135355645943026140020621916504207308353937230538204893409203893423816582105409192004765721356427732370624181999485319151667654329905171629983823524092915413742679827389925084720429555188214890060187266252332107147234101930590750094761719355497798895779717135206180611554078516944843619993544633402223062255463542109215178729870232558064701130179903741366442535441746859859702264623443785695520275629529213564336543159579813294401375123836366531569960829013428595662419399085571953088788219315706157729894262371450123496380675388399213305403032542045501246421464573051238409233251857731384179221394662100707098720430580009390540685347008403988756973353656669832148307493605335835151387718922588117819623192843417827925275398940761012085830341842535583823890316900858412629218377191900621792905238730229072632949886930895283623681314922206234482153486704761476751774540985551293210947052072387111351133122556226880975910229914389715463825216021870407731721734982134653480644806575209905579769891423343484363613543912939038099770935594695128491495428919673995586299482201214482971115856173997266547668847549997319026948171350380418447576284226327857590650634584002946073945633713148030807866365390641742272720394158426292511614733580148410261306903944108536766078398003487498117545355340918644397682563794260521338534200343425451468681581361302017605636977036554112479201241714330677973820796269346951038942919326044320436249800792412887377368685804062437331333508826704302824978253379716802730849863440204153900335688500115398822404144727709981590038667151151455401226178564356556874191116134657025181494745487689836766687656443259605808478313322949486127446359891613621454508854518409835887422918339281774272329981849984936402042025342152310289601539310969870997650698011168748535169584781625732994480453073620862035932444166926837999879574444246772645532027573127228715128185541022843413475448493384089504489670458262206564701918525403884749114008887850203166550329656786604151333197858538239041620019779553326089544787906415110732239896570591690773160198102591689149951108024744761646662133848309379436780975592968627658838707818750355540892267407195783604383411742102967108847265005137063858968433789005554325967894}
15096   405342661464707937659705505831891610436082828730226982522466576: {75455,90546,196079,286463,331826,346679,512618,647279,844648,950229,1131225,1145548,1186343,1206640,1234346,1246079,1357470,1447968,1568008,1628964,1693079,1764009,1867564,1901063,2049928,2079023,2227103,2306169,2345423,2487705,2493143,2581679,2653552,2964503,2985246,3375263,3404543,3494152,3667564,3693865,3930921,3988463,4098218,4114929,4192079,4432638,4455688,4627079,4684943,4744108,4898725,4973783,5012649,5146703,5276950,5290583,5491679,5577743,5635079,5803105,5835503,5869418,5878470,6270368,6332340,6434423,6491279,6532588,6690023,6749618,6754496,6775079,6831743,6963726,7054164,7094632,7340279,7451186,7538500,7598808,7801106,7958303,7981461,8182079,8290150,8324906,8377463,8548659,8600279,8769928,8794823,8933543,9046200,9195026,9348503,9513983,9649280,9706679,9733708,9761663,9866169,9948180,10176975,10200383,10234418,10340078,10407146,10446263,10611392,10855440,11017463,11071679,11160201,11579136,11937816,12124105,12149279,12212370,12825448,13026528,13028663,13263148,13266983,13399103,13430043,13478279,13491626,13661618,14213783,14266079,14316364,14405721,14428629,14548926,14605223,14654844,14678546,14771540,14917079,15227783,15356903,15738745,15768743,15993105,16065964,16194218,16204079,16332505,16586279,16625512,16642405,16840079,16890743,16966679,17059312,17143583,17320150,17657169,17725848,17797223,17897303,18022223,18046312,18503308,18694418,18703701,18767543,18841679,18886494,19162103,19191726,19284983,19505663,19599006,19685426,19714849,19750103,19937128,19941579,19970886,20188079,20302101,20381903,20784180,20912279,21102200,21104183,21390313,21391079,21557903,21700583,21819263,21914063,22140266,22169792,22304908,22429269,22738103,22761503,23000968,23014929,23332150,23459783,23690953,23706472,23737079,23739975,23783183,24021388,24470903,24698543,24812063,24834743,24941016,25115752,25203218,25219079,25322640,25444079,25623503,25730668,25876089,26047583,26114279,26158703,26225279,26522728,26635946,26669781,26777279,26887079,27010816,27092908,27149783,27170665,27171623,27398725,27433079,27606743,27693383,27758279,27882505,27998580,28043582,28058643,28146143,28164070,28255221,28261875,28395112,28403279,28446023,28487970,28528106,28829279,29083343,29127628,29146679,29294183,29390505,29399303,29776079,29778026,29838069,29838623,29865152,30025823,30146000,30295079,30387168,30398279,30460103,30557590,30709418,30724305,30849983,31074383,31196008,31257263,31349872,31488364,31505929,31894792,31922279,31944501,31982303,32062223,32281343,32403506,32408229,32420279,32578583,32604798,32657543,32772592,32825608,32862506,32878470,33015218,33069983,33109079,33167786,33304079,33342983,33388665,33459006,33598296,33653063,33776618,33796884,33914250,33941903,33980279,34034833,34114343,34185564,34608863,34684168,34741079,34835279,34966823,35070368,35095509,35214865,35268606,35502508,35614576,35634326,35729423,35858279,35881641,36175200,36278903,36307048,36496679,36499564,36669108,36770152,36840981,36869166,36928809,37089623,37162828,37267583,37307305,37515383,37677866,37744079,37796663,37798083,37953983,38145383,38155564,38318543,38559623,38581225,38586880,38815948,38986223,39019689,39037079,39081832,39087863,39228969,39454164,39774088,39804364,39824423,39832150,40062260,40066398,40092382,40285079,40321706,40577903,40697100,40723343,40845429,40899001,40964303,41156872,41330279,41366421,41440823,41488079,41617288,41847983,41956679,42142103,42257838,42307432,42372263,42489266,42676343,42679905,42766943,42902303,43080364,43096679,43226728,43247269,43319279,43334373,43347218,43410240,43630293,43653700,43802663,43831679,43915528,43967061,44002905,44005103,44057548,44058218,44405279,44476079,44574863,44729303,44745849,44768766,45008470,45035279,45186153,45351023,45469418,45473423,45486983,45525232,45919705,45956543,46049279,46154783,46297470,46301481,46304256,46327564,46403303,46789823,46819449,46828079,46891679,46936432,47118983,47418023,47578079,47595861,47724623,47798580,48074712,48085943,48181079,48263903,48498383,48510023,48533279,48621190,48630069,48649079,48836520,49193783,49220913,49327079,49382279,49383968,49404969,49405192,49616618,49976279,50060663,50134079,50154983,50183252,50259023,50295218,50306950,50444279,50495279,50771848,50777183,50835506,50906180,50915783,50985152,51081429,51207503,51215886,51303143,51407423,51501383,51631583,51775466,51823943,51940825,51959183,52092288,52099948,52127903,52200201,52354103,52384440,52388423,52431143,52439663,52683263,52708079,52803486,52964905,53008223,53032079,53266679,53296150,53317726,53396423,53403983,53494079,53498248,53531279,53951752,53962079,54010164,54051623,54084051,54112823,54153263,54178408,54246503,54291218,54331679,54383423,54397189,54535583,54664943,54689183,54719303,54737279,54778943,54814226,54843623,54917169,54938305,54941085,54970079,55054079,55081679,55103646,55163279,55232543,55279703,55305623,55322905,55356863,55456943,55464746,55520279,55556964,55558583,55580841,55629023,55647503,55715663,55723946,55764503,55808063,55816679,55819401,55876736,55982279,56013863,56171279,56206679,56268383,56285063,56308079,56380943,56417279,56446679,56452463,56461079,56503079,56574143,56613503,56680689,56700863,56717279,56731223,56752343,56774279,56820983,56834663,56838988,56860079,56864063,56870543,56879279,56914223,56940263,56948279,56964023,56968823,56970623,56971679,56972183,56972303,57118329,57173505,57231800,57358296,57465964,58247272,58284266,58345428,58545745,58596325,58603824,58932495,59542405,59651308,59917586,60185529,60304244,60368340,60539306,60695721,60811225,60904438,60950709,60985072,61087416,61203628,61403666,61404513,61771946,61894418,62212773,62328990,62861328,62968072,63056908,63557886,63640168,63955380,63956905,64385775,64392896,64528083,64633173,64759048,64790546,65205964,65383466,65528181,65925966,65929302,66090218,66322792,66387486,66483865,66484256,66791786,67340908,67564345,68106088,68219072,68608206,68678160,68723343,69213694,69659186,69663112,70236105,70254894,70315590,70534849,70669418,70718994,70839081,71450886,71595189,71657049,71670865,71690360,71868268,72442008,72853929,72973470,72981266,73187686,73256704,73336249,74059826,74062825,74094472,74315368,74613141,74794788,74918512,75003296,75418888,75545618,75664150,75739564,75964946,76080232,76168180,76619349,76626028,76726905,76746456,76748286,77262930,77710270,77803948,77838368,77842405,78206293,78371001,78719848,79562188,79734506,79780638,79934305,80523626,80626273,80651655,80693512,81077214,81497259,81685833,81842032,82413792,82883353,83118866,83356281,83604789,83867666,84147865,84283326,84330986,84378708,84846249,85278568,85348108,85590261,85768665,86005038,86028432,86148266,86148920,86326826,86339763,86593586,87006340,87035306,87560618,87568164,87647666,87916881,88102792,88126753,88487497,88559829,88766186,88851218,88875390,90026546,90051688,90738028,90780201,90796980,90930218,91132168,91373529,91401816,91486576,91656626,92055146,92072286,92194665,92426632,92715516,93252324,93410886,93533068,93857973,94757505,94800416,94892306,94919788,94976950,95113706,95260586,95280213,95652712,95748364,95921166,95938389,95970469,96013875,96781986,96850112,96917535,96978218,97737746,98279186,98340976,98575358,98593665,98745386,99036748,99115641,99592466,...,7484344150720332767513217971143992629176802963877222808915546693824492779131645388919216284815140518520616747734073454353195895768502287116547296257211896625084288804877188845769125705203033468914539210030932874756310962530905845807307340113805840135724873158113788007148582034641598555936272999227978727501481494857757444975735286139373120614019741084887627080644332782322335090280899378498160720851152895886125142142579033246698343669575702809270917331117775417265429990316950103334593383195313163822768094805348837097051695269855612049663803162620289789553396935165678543280413444293820346504814739369719941602062685754549797354941243520142893493629098628357929633182328973559236594841393557175185244571013082598819958104548813068251869632196859576857613849877786597076268832091993151060648080645870014085811028020512605983135460030485004748222461240408003752727081578383882176729434789265126741887913098411141518128745512763803375735835475351287618943827565787850932689357858095343608949424830396342925435521972383309351723230230057142215127661811478326939816420578108580667026699683834340321463865344871584573195737824032805611597582602473201980220967209862814858369654837135015226545420315869408557149656403392042692737243143379510993379449223301821724456673784260995899821503271324995978540422257025570627671364426339491786385975951876004419110918450569722046211799548085962613409080591237639438767422100370222615391960355916162805149117597005231247176318033011377966596523845691390782007801300515138177203022372041953026408455465554831168718801862571496016960731194404020426558414378989066480654374701188619331066053028706093655997000263240056454237467380069575204096274795160306230850503532750173098233606217091564972385058000726727183101839267846534835311286674201985537772242118231534755150031484664889408712717469984424229191169539837420432181763281777614753831134377508922661408494972774977404603063038013228465434402308966454806496476047016753122802754377172438599491720679610431293053898666250390256999819361666370158968298041359690843072692278311534265120213172740076134256734505687393309847052877788105827123671013331775304749825494485179906226999796787807358562430029669329989134317181859622666098359844855887536159740297153887533724926662037117142469993200772464069155171463389452941488258061728125533311338401110793675406575117613154450663270897507705595788452650683508331488951841}
15097   407172497861794769758798965168116944909338108282357278225213774: {120728,135819,497739,739067,768927,1055810,1266972,1372007,1431935,1508300,1718322,1793687,1809960,1851519,1930624,1960010,2036205,2155439,2171952,2321858,2334455,2352012,2443446,2562410,2801346,3057383,3074892,3316940,3647666,3898727,3980328,4367690,4477869,4503239,4584455,4864703,5241228,5486572,5501346,5569610,5910184,5930135,6066359,6147327,6207803,6648957,6683532,7116162,7620866,7673687,7837960,7915425,8165735,8443120,8705258,8804127,8817705,8868290,9284968,9405552,9423125,9498510,9798882,10124427,10131744,10266146,10356359,10445589,10581246,10641948,10962410,11176779,11222267,11307750,11349962,11398212,11701659,12055439,12061600,12167135,12435225,12487359,13079807,13154892,13156322,13264240,13422683,13569300,13792539,13856999,14473920,14547323,14600562,14865659,14880268,14922270,14926898,15351627,15438848,15510117,15610719,15790523,15917088,16031810,16128263,16283160,16578935,16975739,17099807,17368704,17404703,17444987,17526146,17895455,17906724,18318555,18464425,19207628,19238172,19398568,19539792,19672679,19894722,20082455,20125847,20237439,20492427,20743163,20781890,21063239,21324140,21474546,21823389,21976283,21982266,22017819,22135058,22157310,22557890,22853963,23129135,23207387,23450306,23542892,23634464,23892047,24019538,24098946,24291327,24666359,24694007,24706967,24845723,24921410,24938268,25181992,25588968,25782383,25980225,26107607,26132008,26377750,26467919,26588772,26620607,26627848,26756939,27069468,27296507,27431138,27712240,27754962,27881135,27907943,28041627,28329741,28348466,28676018,28722407,28751210,28787589,29398509,29528139,29633090,29905692,29956329,30026735,30348647,30686572,31000799,31145258,31162754,31176270,31394690,31653300,31768667,32163335,32173883,32587643,33153410,33210399,33254688,33292226,33457362,33668114,33763520,33866135,34196603,34501452,34802327,34998225,35493890,35559708,36012263,36032082,36076763,36409535,36415127,37019003,37203083,37331440,37361519,37411524,37673628,37682500,37804827,37823387,37983960,38125607,38322743,38426087,38551259,38596002,38995010,39187340,39360455,39453899,39784092,39829487,39834578,39868490,39953919,40516224,40639362,40745282,40965740,41032010,41069378,41789858,41997870,42065373,42246105,42263999,42592668,42731955,42792159,43210972,43229543,43355210,43473064,43660187,43691442,43759538,43837960,43978922,44378135,44425367,44518220,44612008,44667039,44797728,44844119,44983679,45011783,45050258,45062512,45219000,45383810,45561578,45580752,45624455,45743099,45836385,45962690,46064127,46149962,46453535,46503119,46794012,46810967,47024808,47181467,47207783,47232546,47406107,47694455,47842188,48233600,48440039,48519935,48605259,48844247,48852290,48892144,48907197,49121308,49158888,49238412,49293759,49317705,49522827,49537007,49717610,49751679,49755455,49908683,50077825,50188509,50397444,50473706,50539703,50664927,50672999,50695326,50871375,50923106,50966363,51230783,51278346,51446090,51827579,52021610,52026252,52186199,52305292,52605552,52884290,52902909,53253762,53335103,53361938,53421864,53451489,53850455,54024923,54033410,54262800,54460572,54567125,54749346,54894410,55003662,55071935,55097063,55155228,55303749,55475114,55685147,55744242,56257499,56343784,56516799,56575343,56664167,56906540,57001127,57233346,57779164,57814943,57880320,57909455,58032443,58173724,58223922,58622748,58670540,58814843,59181246,59592827,59601803,59661132,59691688,59706546,59748225,60093390,60099597,60103199,60138573,60178799,60248204,60297383,60367439,60482559,60854807,60863954,60955223,61045650,61178303,61340402,61729960,61735308,61739008,61756490,62385647,62425932,62493407,62729065,63227186,63386757,63403463,63461148,63464810,63482159,63632725,63731440,63733899,64052363,64099616,64520258,64558418,64606607,64620546,64832663,64840092,65020827,65025947,65115360,65124935,65480550,65553698,65627884,65873292,65991527,66086322,66087327,66217979,66478607,66570203,66573938,66798143,66872810,67153149,67439690,67512705,67600559,67723010,68108572,68204127,68287848,68771147,68879867,69446205,69456384,69491346,69600268,69792239,69845920,70214807,70404648,70601714,70606823,70709963,70923122,71048735,71188367,71539750,71611778,71697870,71832455,72013552,72077783,72112068,72128162,72358427,72360863,72370943,72809090,72931785,73154687,73222892,73254780,73471528,73539983,73948706,74075952,74107788,74424927,74425868,74564135,74618747,75274878,75380305,75442827,75460425,75574252,75630314,75644687,76126226,76157772,76170779,76231340,76253259,76359270,76477728,76504535,76542479,76823829,76842527,77089943,77663199,77735303,77772434,77793904,78138432,78141863,78149922,78575207,78576660,78697586,78710090,78795227,78821135,79001183,79135643,79205229,79550210,79673879,79740647,79944225,79976589,80050754,80247372,80491120,80873303,80927628,80948810,81015246,81147263,81267612,81436827,81449888,81507455,81872684,82100759,82221339,82607963,82655469,82903490,82950364,83105320,83120267,83197119,83335446,83585919,83696123,83780939,83815104,83831858,83837723,84061259,84176135,84215594,84743848,85132610,85258482,85273840,85754306,85808999,85847700,86037444,86048354,86159243,86177564,86198946,86899007,87078890,87231026,87258203,87370908,87399023,87426399,87518142,87813467,87901288,87905736,88003799,88315106,88394063,88440338,88516648,89075387,89296669,89476962,89612950,89835335,89843807,89876379,90456366,90552510,90804983,90808959,91356657,91477608,91570880,91631124,91676138,91714523,91794407,91805442,92020754,92105499,92234402,92618090,92657919,92743883,92829527,92841627,92894210,93147119,93199463,93234299,93493485,93648140,93673192,93703682,93753947,93754120,94271687,94273610,94291992,94386623,94402658,94452108,94558154,94585362,94674455,95100290,95210225,95267848,95291687,95336829,95460252,95542732,95592098,95782535,95933070,96008399,96589344,96676178,96676283,96787106,97070267,97121483,97138572,97185819,97254935,97297960,97441583,97808946,98075199,98399810,98585834,98635199,98888949,98893953,99000239,99095567,99135327,99224738,99452735,99454103,99484188,99581229,99644663,99726384,...,9979125534293777023350957294858656838902403951836297078554062258432657038842193851892288379753520691360822330312097939137594527691336382822063061676282528833445718406502918461025500940270711291886052280041243833008414616707874461076409786818407786847633164210818384009531442712855464741248363998970638303335308659810343259967647048185830827485359654779850169440859110376429780120374532504664214294468203861181500189523438710995597791559434270412361223108157033889687239987089266804446124510927084218430357459740465116129402260359807482732885070883493719719404529246887571391040551259058427128673086319159626588802750247672733063139921658026857191324838798171143906177576438631412315459788524742900246992761350776798426610806065084091002492842929146102476818466503715462768358442789324201414197440861160018781081370694016807977513946707313339664296614987210671670302775437845176235639246385686835655850550797881522024171660683685071167647780633801716825258436754383801243585810477460458145265899773861790567247362629844412468964306973409522953503549081971102586421894104144774222702266245112453761951820459828779430927650432043740815463443469964269306961289613150419811159539782846686968727227087825878076199541871189390256982990857839347991172598964402428965942231712347994533095337695099994638053896342700760836895152568452655715181301269168005892147891267426296061615732730781283484545440788316852585023229467160296820522613807888217073532156796006974996235090710681837288795365127588521042677068400686850902937363162722604035211273954073108224958402483428661355947641592538693902077885838652088640872499601584825774754737371608124874662667017653408605649956506759433605461699726880408307800671377000230797644808289455419963180077334302302910802452357128713113748382232269314050362989490975379673533375312886519211616956626645898972254892719783227242909017709036819671774845836678563548544659963699969872804084050684304620579203078621939741995301396022337497070339169563251465988960906147241724071864888333853675999759148888493545291064055146254457430256371082045686826950896986768179008979340916524413129403837050807769498228017775700406333100659313573208302666395717076478083240039559106652179089575812830221464479793141183381546320396205183378299902216049489523293324267696618758873561951185937255317677415637500711081784534814391567208766823484205934217694530010274127717936867578011108651935788}
15098   409010528518789327144805328497370289827361426184653666543636132: {105637,150910,181092,392158,557257,572926,663652,693358,1007077,1025236,1294558,1583715,1689296,1885375,1900458,2256997,2262450,2291096,2372686,2413280,2468692,2492158,2577483,2714940,2895936,2940015,3136016,3141157,3257928,3386158,3405001,3482787,3528018,3665169,3735128,3802126,3843615,4018117,4099856,4105417,4146175,4158046,4202019,4454206,4612338,4690846,4887877,4975410,4986286,5163358,5171411,5307104,5406277,5471499,5929006,5970492,6551535,6750526,6809086,6858215,6988304,7335128,7387730,7861842,7875337,7959397,7976926,8124347,8196436,8229858,8252019,8354415,8384158,8865276,8911376,8962501,9254158,9369886,9488216,9542857,9797450,9947566,9955237,10025298,10201801,10293406,10553900,10581166,10674243,10774597,10856137,10983358,11155486,11270158,11431299,11606210,11671006,11738836,11756940,12471817,12540736,12664680,12868846,12982558,13057887,13065176,13302435,13380046,13499236,13508992,13550158,13663486,13927452,13980037,14108328,14189264,14247765,14680558,14698323,14902372,14997001,15077000,15197616,15229957,15399219,15602212,15871869,15916606,15962922,16364158,16443615,16580300,16649812,16754926,16961625,16973747,17024943,17097318,17200558,17539856,17589646,17824837,17867086,18092400,18390052,18600335,18697006,19027966,19298560,19413358,19467416,19523326,19533001,19732338,19734483,19896360,20045317,20353950,20400766,20468836,20680156,20771077,20814292,20892526,21222784,21710880,21846217,21900843,22034243,22034926,22143358,22271737,22320402,22383405,22390347,22764901,22865507,23158272,23299367,23463301,23809801,23875632,23947897,24009535,24047715,24248210,24291877,24298558,24424740,24838501,25649797,25650896,26053056,26057326,26184901,26289219,26526296,26533966,26655175,26798206,26860086,26956558,26983252,27175801,27323236,27632677,27998399,28150501,28427566,28532158,28632728,28811442,28857258,29097852,29109001,29210446,29309688,29357092,29428615,29543080,29834158,29842083,29864137,30237817,30455566,30713806,31172835,31477490,31537486,31706617,31986210,32007397,32067337,32131928,32211819,32388436,32408158,32665010,32957797,32973399,33172558,33202587,33235965,33251017,33251024,33284810,33367801,33542437,33658501,33680158,33781486,33836835,33933358,34118624,34287166,34405897,34640300,34972537,35175459,35253157,35314338,35451696,35594446,35794606,36029307,36044446,36092624,36148419,36303097,36737401,36845257,37006616,37382115,37388836,37407402,37535086,37683358,37772988,38038931,38324206,38358215,38383452,38569966,38583301,38686117,39011326,39035507,39094501,39198012,39370852,39429698,39500206,39566625,39874256,39883158,39941772,40376158,40604202,40681957,40763806,40971397,41146707,41162917,41448037,41568360,41632443,41636677,41824558,41892499,42204400,42208366,42522699,42699001,42780626,42782158,43014027,43115806,43126815,43282597,43401166,43638526,43828126,44156677,44280532,44339584,44449635,44582917,44609816,44751397,44858538,45167557,45476206,45495301,45523006,45978277,46001936,46029858,46176457,46606117,46664300,46717887,46744131,46764405,46919566,47092035,47103125,47327737,47364997,47381906,47412944,47474158,47479950,47566366,47853487,48042776,48095077,48273097,48335183,48414217,48519301,48941806,48984175,49035001,49300811,49397086,49599877,49624126,49669486,49730115,49882032,49938339,50186043,50231504,50268937,50406436,50423557,50438158,50484901,50502171,50645280,50787301,50888158,51207175,51247006,51313477,51455497,51461336,51595717,51752178,51843577,52095166,52228558,52230227,52317406,52450501,52450558,52526857,52577401,52702501,53045456,53240835,53271892,53339562,53415301,53554558,53572297,53747401,53774158,53854501,54001417,54013715,54021632,54048123,54124537,54185816,54299566,54341330,54343246,54609637,54797450,54861637,54866158,55197157,55213486,55369417,55386766,55516558,55518457,55576057,55590277,55618501,55647775,55715017,55765010,55781797,55821001,55997160,56030917,56042617,56087164,56117286,56155657,56230501,56281801,56292286,56328140,56397577,56469001,56510442,56523750,56575237,56682697,56727301,56790224,56806558,56878501,56892046,56929801,56968357,56969977,56975940,56979301,56982217,56985637,56987257,56987401,57056212,57658558,57894003,58166686,58255256,58293358,58492515,58588366,58781010,58798606,59552158,59556052,59676138,59677246,59730304,59751867,59802735,60051646,60292000,60590158,60774336,60796558,60920206,60959043,61115180,61117923,61401635,61418836,61448610,61548015,61604067,61699966,62148766,62392016,62514526,62684787,62699744,62976728,62996805,63011858,63789584,63844558,63889002,63964606,64124446,64287587,64562686,64807012,64816458,64840558,65032815,65157166,65209596,65315086,65381615,65537163,65545184,65639307,65651216,65725012,65756940,65968383,66030436,66139966,66218158,66335572,66608158,66685966,66777330,66918012,67196592,67306126,67553236,67575387,67593768,67828500,67883806,67960558,68069666,68075715,68228686,68342367,68371128,68944035,69217726,69224943,69368336,69482158,69670558,69933646,70140736,70191018,70429730,70537212,70848819,71005016,71133175,71229152,71268652,71458846,71716558,71763282,72223955,72350400,72557806,72614096,72717155,72993358,72999128,73278435,73338175,73338216,73540304,73681962,73738332,73857618,74150867,74179246,74325656,74535166,74576415,74614610,75030766,75310255,75355732,75488158,75593326,75596166,75710559,75907966,76042989,76290766,76311128,76384659,76637086,76913627,76917519,77119246,77162450,77169135,77173760,77452067,77631896,77972446,78032415,78039378,78074158,78163664,78175726,78457938,78908328,79326435,79548176,79608728,79648846,79664300,79880643,80042907,80124520,80132796,80184764,80570158,80643412,81050115,81155806,81394200,81446686,81690858,81798002,81928606,81964043,82034855,82124019,82313744,82341615,82505493,82660558,82732842,82881646,82976158,83212671,83234576,83359367,83616363,83695966,83913358,84284206,84515676,84614864,84744526,84978532,85135715,85352686,85359810,85533886,85804606,85850019,86160728,86193358,86453456,86494538,86638558,86668746,86694436,86820480,87000335,87260586,87307400,87335883,87605326,87663358,87831056,87934122,88005810,88010206,88115096,88116436,88771869,88810558,88952158,89149726,89458606,89491698,89537532,89539667,89559819,90016940,90070558,90140085,90372306,90702046,90938836,90946846,90973966,91050464,91295931,91528615,91568475,91839410,91913086,92010603,92098558,92309566,92425619,92594940,92602962,92608512,92634735,92655128,92806606,93032335,93077411,93579646,93638898,93656158,93783358,93872864,94237966,94467815,94590083,94836046,94840779,95156158,95191722,95197215,95289175,95449246,95597160,96149424,96171886,96362158,96527806,96780387,96837627,96930819,96996766,97020046,97066558,97242380,97260138,97298158,97673040,98220825,98330547,98387566,98441826,98654158,98764558,98767936,98809938,98810384,99129483,99233236,99860907,99952558,...,14968688301440665535026435942287985258353605927754445617831093387648985558263290777838432569630281037041233495468146908706391791537004574233094592514423793250168577609754377691538251410406066937829078420061865749512621925061811691614614680227611680271449746316227576014297164069283197111872545998455957455002962989715514889951470572278746241228039482169775254161288665564644670180561798756996321441702305791772250284285158066493396687339151405618541834662235550834530859980633900206669186766390626327645536189610697674194103390539711224099327606325240579579106793870331357086560826888587640693009629478739439883204125371509099594709882487040285786987258197256715859266364657947118473189682787114350370489142026165197639916209097626136503739264393719153715227699755573194152537664183986302121296161291740028171622056041025211966270920060970009496444922480816007505454163156767764353458869578530253483775826196822283036257491025527606751471670950702575237887655131575701865378715716190687217898849660792685850871043944766618703446460460114284430255323622956653879632841156217161334053399367668680642927730689743169146391475648065611223195165204946403960441934419725629716739309674270030453090840631738817114299312806784085385474486286759021986758898446603643448913347568521991799643006542649991957080844514051141255342728852678983572771951903752008838221836901139444092423599096171925226818161182475278877534844200740445230783920711832325610298235194010462494352636066022755933193047691382781564015602601030276354406044744083906052816910931109662337437603725142992033921462388808040853116828757978132961308749402377238662132106057412187311994000526480112908474934760139150408192549590320612461701007065500346196467212434183129944770116001453454366203678535693069670622573348403971075544484236463069510300062969329778817425434939968848458382339079674840864363526563555229507662268755017845322816989945549954809206126076026456930868804617932909612992952094033506245605508754344877198983441359220862586107797332500780513999638723332740317936596082719381686145384556623068530240426345480152268513469011374786619694105755576211654247342026663550609499650988970359812453999593575614717124860059338659978268634363719245332196719689711775072319480594307775067449853324074234284939986401544928138310342926778905882976516123456251066622676802221587350813150235226308901326541795015411191576905301367016662977903682}
15099   410856789836485310598391755127803750154851094510762334134302242: {226365,241456,271638,588237,829565,859389,995478,1040037,1281545,1478134,1537854,1824317,1941837,2004709,2111620,2533944,2547337,2744014,2850687,2863870,3016600,3085865,3268237,3393675,3436644,3559029,3587374,3619920,3703038,3738237,3861248,3920020,4072410,4310878,4343904,4643716,4668910,4704024,4886892,5079237,5124820,5292027,5437021,5602692,5703189,6114766,6149784,6237069,6418237,6633880,6681309,6918507,7036269,7295332,7421129,7463115,7479429,7745037,7797454,7960656,7963037,8302189,8735380,8893509,8955738,9006478,9168910,9729406,10125789,10213629,10245545,10482456,10973144,11002692,11081595,11139220,11432029,11728277,11792763,11820368,11860270,11965389,12132718,12294654,12344787,12415606,12576237,13192375,13297914,13367064,13881237,14054829,14232324,14247337,14673545,14696175,14921349,15037947,15241732,15347374,15440109,15675920,15830850,15871749,16331470,16475037,16733229,16874045,16886240,16905237,17033989,17240557,17409315,17410516,17506509,17608254,17635410,17736580,18569936,18627965,18811104,18846250,18997020,19111549,19303269,19473837,19502765,19597764,20062237,20070069,20248854,20263488,20325237,20378069,20495229,20532292,20712718,20725375,20812265,20891178,21162492,21283896,21553037,21924820,22020837,22353558,22444534,22531157,22615500,22699924,22796424,22987565,23081129,23210509,23403318,23874909,23944383,24110878,24123200,24334270,24485021,24546237,24870450,24974718,25053637,25132389,25243577,25586045,25645977,25800837,25850195,26017865,26159614,26309784,26312644,26384469,26528480,26800629,26845366,27009229,27138600,27585078,27613669,27713998,27759037,28045509,28115437,28541949,28755449,28947840,29094646,29120037,29201124,29284989,29598507,29731318,29760536,29844540,29853796,30470089,30530925,30601149,30703254,30877696,31020234,31221438,31298597,31338789,31581046,31621837,31834176,32063620,32256526,32268797,32380789,32566320,33052389,33157870,33215037,33295877,33480603,33729065,33951478,34154045,34199614,34737408,34809406,34889974,35052292,35790910,35813448,36372315,36447837,36637110,36696365,36838709,36928850,38415256,38476344,38512669,38797136,39033589,39079584,39085989,39345358,39789444,39800949,40164910,40197309,40251694,40290129,40434837,40474878,40485545,40984854,41486326,41563780,41927237,42037429,42126478,42641349,42648280,42798237,42831301,42949092,43217163,43285887,43300375,43646778,43795309,43815669,43844201,43952566,43964532,44035638,44270116,44314620,44515309,44751237,45028669,45115780,45683349,45707926,46070709,46258270,46414774,46736045,46900612,47031637,47072789,47085784,47216235,47268928,47306229,47412589,47784094,47979315,48039076,48197892,48351077,48582654,48612237,48997515,49014089,49213565,49332718,49388014,49413934,49691446,49758837,49842820,49876536,49927215,50363984,50520237,50672229,50900037,50973349,51177936,51430749,51506477,51564766,51960450,52215214,52264016,52755500,52935838,52971507,53177544,53241214,53255696,53391669,53513878,53691909,54066669,54138936,54590629,54593014,54621881,54862276,55104637,55350665,55424480,55509924,55762270,55815886,56083254,56111103,56266397,56302629,56525037,56659482,56696932,56753261,57352036,57444814,57486309,57502420,57575178,57854949,58330375,58394069,58516989,58797018,58982989,59056278,59144547,59250309,59266180,59609821,59811384,59824737,59912658,60053470,60307109,60564237,60697294,60906303,61145709,61330949,61373144,61936937,62001598,62129389,62290516,62325508,62352540,62705141,62736837,62789380,62897021,63008045,63283877,63306600,63312549,63537334,63874237,64170939,64173237,64326670,64329061,64347766,64616701,64673709,65034949,65101749,65175286,65457789,65590037,65742189,66306820,66420798,66509376,66584452,66589865,66772237,66861769,66914724,67287807,67336228,67416749,67527040,67609421,67732270,67739849,67927909,68214309,68284509,68393206,69002904,69044787,69488837,69604654,69657637,69996450,70056589,70108955,70379349,70410175,70552169,70972397,70987780,71072859,71119416,71211237,71219925,71320265,71343337,71349549,72024526,72064164,72153526,72302021,72819070,72830254,73244429,73412709,74038006,74095629,74173517,74406166,74436189,74445065,74504229,74662880,74723038,74738249,74823048,75108077,75347256,75365000,75390637,75398237,75609654,75646774,75657237,75967920,76251214,76332237,76393975,76645486,76748989,76773545,76852174,76870509,77100709,77102518,77192004,77299181,77628267,77990020,78094277,78142749,78342837,78374680,78476109,78507701,78675837,78720910,78907798,79341029,79543637,79563469,79568184,79658974,79669156,79736980,79907838,80009343,80331837,80661237,81008765,81032448,81073237,81278724,81449349,81490564,81511995,81514869,81527269,81931480,82064020,82138756,82156265,82196175,82299237,82414781,82481737,82538045,82820229,82919465,83080149,83274837,83530957,83579716,83647515,83995740,84130746,84175929,84438429,84441545,84492210,84527998,84719069,84765663,84785625,85185336,85209837,85338069,85463910,85584318,86199349,86421944,86459086,86487837,86710420,86910889,86946128,87250029,87320374,87382884,87440037,87519076,87675920,87819349,87820691,87882549,87957844,88171515,88197909,88756270,88850734,89021501,89036440,89085815,89224016,89328237,89334078,89514207,89515869,89595456,89603837,89688238,89854469,89967358,90023566,90077469,90100516,90125024,90438000,90767620,90874421,90885237,91123156,91161504,91174909,91194837,91248910,91380309,91486198,91672770,91726861,91925380,92128254,92172915,92299924,92549949,92907070,93006238,93223149,93588024,93621934,93771789,94049616,94194665,94362934,94399541,94415566,94465092,94517787,94812214,95388910,95468021,95684376,95705189,95766837,95833503,95946909,96186669,96467200,96844029,96880078,97039870,97210518,97224687,97260837,97681261,97688494,97704580,97711469,97735749,97784288,97814394,97972629,98242616,98317776,98476824,98587518,98635410,99013837,99045654,99074014,99209949,99262921,99327237,99435220,99468229,99503358,99510910,99580375,99622637,99817366,99912237,...,22453032452160998302539653913431977887530408891631668426746640081473478337394936166757648854445421555561850243202220363059587687305506861349641888771635689875252866414631566537307377115609100406743617630092798624268932887592717537421922020341417520407174619474341364021445746103924795667808818997683936182504444484573272334927205858418119361842059223254662881241932998346967005270842698135494482162553458687658375426427737099740095031008727108427812751993353326251796289970950850310003780149585939491468304284416046511291155085809566836148991409487860869368660190805497035629841240332881461039514444218109159824806188057263649392064823730560428680480887295885073788899546986920677709784524180671525555733713039247796459874313646439204755608896590578730572841549633359791228806496275979453181944241937610042257433084061537817949406380091455014244667383721224011258181244735151646530188304367795380225663739295233424554386236538291410127207506426053862856831482697363552798068073574286030826848274491189028776306565917149928055169690690171426645382985434434980819449261734325742001080099051503020964391596034614753719587213472098416834792747807419605940662901629588444575108964511405045679636260947608225671448969210176128078211729430138532980138347669905465173370021352782987699464509813974987935621266771076711883014093279018475359157927855628013257332755351709166138635398644257887840227241773712918316302266301110667846175881067748488415447352791015693741528954099034133899789571537074172346023403901545414531609067116125859079225366396664493506156405587714488050882193583212061279675243136967199441963124103565857993198159086118280967991000789720169362712402140208725612288824385480918692551510598250519294700818651274694917155174002180181549305517803539604505933860022605956613316726354694604265450094453994668226138152409953272687573508619512261296545289845332844261493403132526767984225484918324932213809189114039685396303206926899364419489428141050259368408263131517315798475162038831293879161695998751170770999458084999110476904894124079072529218076834934602795360639518220228402770203517062179929541158633364317481371013039995325914249476483455539718680999390363422075687290089007989967402951545578867998295079534567662608479220891461662601174779986111351427409979602317392207465514390168358824464774185184376599934015203332381026219725352839463351989812692523116787365357952050524994466855523}
15100   412711318376079212566285265279233523439407833059068784161677860: {211274,256411,301820,346771,362184,407457,707491,784316,1114514,1145852,1246411,1327304,1386716,1493217,1960939,2014154,2050472,2217201,2227699,2306781,2589116,2639525,3167430,3378592,3464011,3770750,3800916,3814651,3989539,4116021,4295805,4513994,4524900,4582192,4686211,4745372,4826560,4900025,4937384,4984316,5119291,5154966,5205691,5292019,5381061,5429880,5554557,5636611,5791872,5804645,5880030,5894299,6108615,6272032,6282314,6322339,6406025,6466317,6493051,6515856,6748579,6772316,6810002,6833611,6965574,7003365,7003459,7056036,7330338,7426819,7470256,7604252,7687230,8036234,8100451,8184331,8199712,8210834,8292350,8316092,8404038,8908412,9119165,9172149,9224676,9381692,9433891,9601501,9764371,9775754,9950820,9972572,10326716,10342822,10614208,10812554,10919225,10942998,11074771,11399491,11696181,11858012,11940984,12206251,13103070,13323619,13402891,13433607,13501052,13509717,13618172,13716430,13753365,13924025,13976608,14270131,14348539,14594109,14670256,14739499,14775460,15283819,15438691,15723684,15750674,15918794,15953852,16248694,16392872,16459716,16504038,16514731,16591051,16708830,16768316,16895611,16971571,17425819,17730552,17790405,17822752,17925002,17952499,18177139,18199077,18441981,18508316,18623409,18739772,18976432,19052165,19085714,19290619,19594900,19804699,19895132,19910474,19946871,20050596,20169739,20242531,20403602,20586812,20677771,21107800,21162332,21348486,21549194,21611899,21712274,21754531,21763145,21966716,22038931,22170725,22310972,22540316,22862598,23021061,23165011,23212420,23342012,23477672,23513880,23746275,23790331,24497205,24751459,24943634,25081472,25226731,25329360,25631299,25665365,25737692,25899571,25965116,25966459,26040469,26115774,26130352,26166691,26412381,26453115,26604870,26760092,26895331,26998472,27017984,27100316,27289099,27326972,27406025,27745219,27854904,27960074,28216656,28269375,28374905,28378528,28454851,28495530,29361116,29396646,29534419,29804744,29994002,30035251,30154000,30373281,30395232,30459914,30593179,30798438,30900619,30961891,30980477,31069077,31084219,31204424,31336767,31743738,31812139,31833212,31925844,32589019,32707459,32728316,32887230,32890805,33089017,33119731,33160600,33299624,33353731,33470299,33509852,33530337,33613349,33666801,33923250,33947494,33991291,34049886,34194636,34220971,34401116,34620139,34790131,35015779,35079712,35104977,35179292,35352091,35407891,35649674,35734172,35741179,35906851,36166317,36184800,36290899,36501405,36780104,37101979,37200670,37305675,37317245,37368739,37394012,37462077,37791811,38001619,38055932,38106091,38597120,38826716,38931499,38934832,39046652,39066002,39134971,39239421,39464676,39468966,39792720,40079525,40090634,40268049,40331611,40707900,40801532,40937672,41200061,41249539,41360312,41377617,41534011,41542154,41570997,41628584,41785052,42002371,42187699,42445568,42782059,43097059,43421760,43641969,43692434,43801686,43815365,43847371,43890859,44068486,44069852,44286716,44449651,44492131,44543474,44596977,44640804,44766810,44780694,44912971,45285571,45529802,45731014,45853579,45893611,46053019,46054881,46132291,46316544,46530351,46598734,46832157,46926602,47023219,47136619,47371569,47619602,47657251,47751264,47895794,48019070,48095430,48384789,48496420,48516931,48551851,48583754,48597116,48725371,48849480,49368331,49434499,49509317,49677002,49736805,49857571,49921579,50080339,50143339,50174731,50330611,50545819,50606659,50697379,50927217,51299421,51299594,51301792,51342859,51762979,51926491,51954725,51980419,52087411,52106112,52114652,52166899,52214109,52297939,52334961,52369802,52578438,52680259,52705171,53052592,53067932,53310350,53350579,53464339,53483309,53596412,53686365,53701501,53720172,53913116,53964451,53966504,54088651,54149779,54210259,54270091,54351602,54368371,54407179,54646472,54867979,54902899,54955665,54988939,55265354,55337645,55346131,55361539,55393275,55482211,55569691,55584019,55842571,55881019,55996798,56028331,56098099,56197891,56301002,56341531,56394725,56444491,56479771,56522251,56530531,56538739,56554121,56674171,56681011,56714131,56720539,56843299,56855132,56875051,56910691,56931211,56943451,56992699,56993851,57001411,57001771,57002419,57064316,57265456,57622884,57714516,58195704,58218002,58420892,58619376,58625765,58714184,58857230,59018037,59086160,59668316,59684166,59728274,60048845,60247365,60377541,60475634,60712317,60911132,61427612,61477281,62229489,62303525,62345670,62954980,63074972,63189717,63413234,63972420,64014794,64134674,64263856,64423638,64776872,64816316,65330020,65470167,65915594,65928849,65944375,65946798,66053457,66345116,66405174,66471930,66502034,66502048,66569620,66735602,67084874,67317002,67360316,67562972,67673670,67866716,68237248,68561889,68574332,68577845,68811794,69280600,69387405,69622161,69945074,70350918,70506314,70628676,70871165,70903392,71188892,71589212,71676141,71690045,71878025,72058614,72088892,72185248,72296838,72606194,72873981,73474802,73690514,73999077,74013232,74082021,74082725,74120901,74537169,74764230,74777672,74814804,75070172,75366716,75545976,75619201,76077862,76648412,76716430,76766904,77139932,77166602,77347149,77372234,77863145,77906885,77940675,78022652,78071014,78189002,78322821,78396024,78486725,78741704,78859396,79000412,79133250,79403757,79748512,79766316,79861821,79883544,80270817,80752316,81208404,81363914,81527612,81889521,81942794,82293414,82325834,82883525,82896074,83136720,83230565,83264886,83273354,83643405,83649116,83723829,83784998,84124881,84170285,84408800,84416732,84989223,85045398,85398002,85481297,85561252,85564316,85962289,86028054,86167221,86231612,86253630,86362767,86565194,86802332,87277052,87656252,88195527,88313354,88561064,88584417,88679168,88734725,88899270,89165834,89219632,89502794,89717076,89868987,90080205,90335114,90952412,90990602,91045941,91046012,91534261,91956554,92003872,92059716,92352914,93002397,93212234,93328600,93435774,93488262,93528810,93839132,94184070,94206250,94655474,94729994,94763812,94825888,94948316,94959900,95132732,95306001,95706974,96085552,96190154,96490005,96521649,96546194,96670366,96828434,97038602,97487525,97762929,97883612,97968350,98070002,98601622,98794172,99199754,99248252,99338972,99460230,99586445,99631197,99671225,99764064,99876678,...,29937376602881331070052871884575970516707211855508891235662186775297971116526581555676865139260562074082466990936293817412783583074009148466189185028847586500337155219508755383076502820812133875658156840123731499025243850123623383229229360455223360542899492632455152028594328138566394223745091996911914910005925979431029779902941144557492482456078964339550508322577331129289340361123597513992642883404611583544500568570316132986793374678302811237083669324471101669061719961267800413338373532781252655291072379221395348388206781079422448198655212650481159158213587740662714173121653777175281386019258957478879766408250743018199189419764974080571573974516394513431718532729315894236946379365574228700740978284052330395279832418195252273007478528787438307430455399511146388305075328367972604242592322583480056343244112082050423932541840121940018992889844961632015010908326313535528706917739157060506967551652393644566072514982051055213502943341901405150475775310263151403730757431432381374435797699321585371701742087889533237406892920920228568860510647245913307759265682312434322668106798735337361285855461379486338292782951296131222446390330409892807920883868839451259433478619348540060906181681263477634228598625613568170770948972573518043973517796893207286897826695137043983599286013085299983914161689028102282510685457705357967145543903807504017676443673802278888184847198192343850453636322364950557755069688401480890461567841423664651220596470388020924988705272132045511866386095382765563128031205202060552708812089488167812105633821862219324674875207450285984067842924777616081706233657515956265922617498804754477324264212114824374623988001052960225816949869520278300816385099180641224923402014131000692392934424868366259889540232002906908732407357071386139341245146696807942151088968472926139020600125938659557634850869879937696916764678159349681728727053127110459015324537510035690645633979891099909618412252152052913861737609235865819225985904188067012491211017508689754397966882718441725172215594665001561027999277446665480635873192165438763372290769113246137060480852690960304537026938022749573239388211511152423308494684053327101218999301977940719624907999187151229434249720118677319956537268727438490664393439379423550144638961188615550134899706648148468569879972803089856276620685853557811765953032246912502133245353604443174701626300470452617802653083590030822383153810602734033325955807364}
15101   414574150859871464735038484603884527091672694537316067775004915: {15101,316911,377275,452730,482912,543276,980395,1161391,1176474,1432315,1659130,1671771,1718778,1733395,1794163,1990956,2080074,2156011,2563090,2818651,2956268,3021231,3075708,3236395,3648634,3883674,4009418,4223240,4320211,4751145,4804459,5067888,5094674,5488028,5656125,5701374,5727740,5888851,5931715,6033200,6126571,6171730,6230395,6536474,6770991,6787350,6873288,7118058,7174748,7239840,7406076,7476474,7722496,7732449,7840040,7932931,8144820,8294203,8465395,8621756,8687808,8820045,9287432,9337820,9408048,9423471,9505315,9755119,9773784,10158474,10215003,10249640,10395115,10448361,10584054,10874042,10995507,11135515,11205384,11406378,11530845,11727115,12054351,12058651,12229532,12299568,12316251,12438525,12465715,12474138,12606057,12836474,12908395,13267760,13362618,13542931,13837014,13860691,14072538,14343763,14590664,14663631,14822515,14842258,14926230,14958858,15490074,15514233,15594908,15921312,15926074,16218831,16248511,16414497,16604378,16876315,17022715,17104363,17470760,17634991,17787018,17871859,17911476,18012956,18120691,18337820,18469325,19458812,19654605,19942315,20251578,20427258,20491090,20542963,20574645,20960395,20964912,21068851,21946288,22005384,22163190,22278440,22860079,22864058,23135395,23424715,23456554,23585526,23623663,23626011,23640736,23720540,23878191,23930778,24265436,24373041,24493625,24589308,24672931,24689574,24756057,24813679,24831212,24868915,25063245,25152474,25471771,25687243,25725811,25733515,26079151,26114563,26384750,26452915,26474971,26595828,26627731,26734128,26887503,27303871,27413551,27458395,27762474,27888715,28109658,28175395,28464648,28494674,28628571,28930051,28936843,29015525,29137171,29177515,29347090,29392350,29842698,29865711,30075894,30483464,30605403,30694748,30880218,31351840,31626331,31661700,31743498,32022729,32138443,32172115,32182591,32292163,32323791,32456395,32568411,32596399,32662940,32950074,33450115,33466458,33748090,33772480,33810474,33875395,34067978,34158715,34293897,34481114,34534159,34811563,34818630,34821032,35013018,35216508,35270820,35473160,35820463,36190273,36425011,36468751,36701395,36989251,37139872,37213039,37255930,37415451,37527283,37622208,37692500,37994040,38135851,38223098,38606538,38671123,38947674,39005530,39043279,39173661,39195528,39791515,39907305,40124474,40140138,40497708,40526976,40650474,40756138,40910395,40990458,41064584,41425436,41450750,41624530,41782356,41887315,41940111,42324984,42567792,42743295,42894511,43001395,43106074,43671871,43849640,43855339,43974115,44041674,44094969,44667715,44707116,44712403,44889068,44991003,45035311,45062314,45135211,45231000,45399848,45592848,45689871,45975130,46162258,46197657,46421018,46742515,46806636,46867939,47220691,47569915,47615607,47690731,47749818,47759983,47815663,47888766,48221756,48246400,48533395,48668540,48808315,48857371,48970042,49092474,49330845,49550371,49740900,49856563,49922191,49949436,49998271,50107274,50264778,50487154,50558959,50884875,50921241,51001915,51074829,51161683,51172090,51291954,51374911,51601674,51700390,52035730,52155823,52231315,52319228,52394371,52619568,52625288,52768938,53056960,53474511,53601258,53690732,53737519,54018458,54039439,54277200,54689371,55087315,55170156,55227338,55358395,55427996,55518074,55801005,56091018,56230874,56590699,56679763,57083898,57223771,57286363,57510898,57895680,58172719,58189292,58240074,58402248,58569978,58599003,58824811,59197014,59203449,59214763,59436751,59462636,59521072,59689080,59707592,60135951,60383851,60620525,60667279,60746395,60811771,60871291,60940178,61061850,61202298,61406508,61755392,62016211,62040468,62313231,62442876,62510131,62597194,62675203,62677578,63162092,63163411,63243674,63668352,64127240,64471483,64482283,64513052,64537594,64761578,64779163,64830739,64958251,65132640,65143315,65398591,65430463,65538651,65702529,66102729,66104778,66264691,66315740,66334915,66430074,66496651,66591754,66815211,66816019,66961206,66995515,67150215,67171041,67391395,67402063,67458130,67902956,67932139,68101183,68188963,68243491,68294703,68308090,68399228,68596521,68789551,68898991,69249451,69474816,69618812,69779948,69811291,69898101,70104584,70389903,70729039,71068915,71330395,71429403,71581820,71626896,71843691,72028605,72143145,72149551,72377791,72744630,72875631,72895674,73026115,73274220,73392730,73560091,73677418,73857700,74183659,74332843,74495311,74515503,74585395,75168463,75709243,75727291,76138915,76784515,76830512,76863091,76949391,76952688,77025338,77490931,77522131,77537071,77594272,78067178,78159168,78162859,78171978,78554703,78596491,78690716,78693725,78843715,78867657,79578888,79579363,79601898,79892611,79902043,79965525,80011291,80089999,80183659,80329820,80394618,80503388,80580258,80869674,80949756,80971090,81020395,81168979,81527403,81662525,81969708,82123171,82630159,82898031,82931395,82972652,83015131,83127560,83142511,83212025,83277763,83822491,83854474,83860159,83995197,84074858,84200395,84252956,84451503,84453715,84485563,84833395,85282698,85296560,85447843,85596271,85596474,85662602,85717915,85898184,86302603,86434326,86571774,86581099,86600750,86933563,87281839,87293556,87327003,87505231,87590618,87606931,87631338,87659611,87688402,87905132,87929064,88071276,88082671,88098559,88211263,88285845,88400731,88540232,88629240,88764091,88986115,89030618,89043691,89486515,89502474,89526249,89592411,90057338,90111115,90231560,90713451,90784303,91193839,91366698,91415852,91819363,91880911,92039179,92048563,92141418,92516540,92829548,93225811,93472090,93518505,93645871,93801224,93837715,94063274,94145578,94171568,94208395,94432470,94537856,94612458,94825178,95119851,95317291,95568188,95633011,95786779,95810515,95958630,96022191,96078152,96202011,96395784,96424915,96635457,96702154,97058683,97165308,97224474,97528315,97955023,97995030,98028178,98152537,98427130,98572363,98574245,98665436,98750515,98776028,98827868,98873391,98920197,99382892,99517674,99531643,99556651,99607761,99685640,99707895,99753051,99753072,99848371,99854430,...,44906064904321996605079307826863955775060817783263336853493280162946956674789872333515297708890843111123700486404440726119175374611013722699283777543271379750505732829263133074614754231218200813487235260185597248537865775185435074843844040682835040814349238948682728042891492207849591335617637995367872365008888969146544669854411716836238723684118446509325762483865996693934010541685396270988964325106917375316750852855474199480190062017454216855625503986706652503592579941901700620007560299171878982936608568832093022582310171619133672297982818975721738737320381610994071259682480665762922079028888436218319649612376114527298784129647461120857360961774591770147577799093973841355419569048361343051111467426078495592919748627292878409511217793181157461145683099266719582457612992551958906363888483875220084514866168123075635898812760182910028489334767442448022516362489470303293060376608735590760451327478590466849108772473076582820254415012852107725713662965394727105596136147148572061653696548982378057552613131834299856110339381380342853290765970868869961638898523468651484002160198103006041928783192069229507439174426944196833669585495614839211881325803259176889150217929022810091359272521895216451342897938420352256156423458860277065960276695339810930346740042705565975398929019627949975871242533542153423766028186558036950718315855711256026514665510703418332277270797288515775680454483547425836632604532602221335692351762135496976830894705582031387483057908198068267799579143074148344692046807803090829063218134232251718158450732793328987012312811175428976101764387166424122559350486273934398883926248207131715986396318172236561935982001579440338725424804280417451224577648770961837385103021196501038589401637302549389834310348004360363098611035607079209011867720045211913226633452709389208530900188907989336452276304819906545375147017239024522593090579690665688522986806265053535968450969836649864427618378228079370792606413853798728838978856282100518736816526263034631596950324077662587758323391997502341541998916169998220953809788248158145058436153669869205590721279036440456805540407034124359859082317266728634962742026079990651828498952966911079437361998780726844151374580178015979934805903091157735996590159069135325216958441782923325202349559972222702854819959204634784414931028780336717648929548370368753199868030406664762052439450705678926703979625385046233574730715904101049988933711046}
15102   416445324171970625790235067767489196452029146119160387185938488: {166001,286577,422548,437117,512822,603640,617501,679095,693542,724368,814914,1067201,1336157,1414982,1568632,1764711,2229028,2257601,2291704,2435057,2488695,2492822,2578167,2582717,2654608,2671217,2773432,2986434,3120111,3142001,3318017,3464477,3695335,3727601,3844635,3921878,4019201,4028308,4100944,4164701,4434402,4455398,4613562,4889201,5148797,5178232,5279050,5472951,5580017,5723357,5825511,6014127,6152177,6334860,6351677,6579197,6757184,6777857,6860035,6928022,7159675,7427837,7541500,7601832,7629302,7642011,7877501,7979078,8126503,8232042,8269277,8552061,8591610,8687297,8881757,8968435,9027988,9049800,9164384,9257595,9269501,9372422,9435197,9490744,9653120,9800050,9804711,9848177,9874768,9958001,9968632,10095101,10181025,10238582,10309932,10411382,10532477,10584038,10677087,10762122,10777195,10859760,10913501,11109114,11214711,11273222,11563037,11583744,11609290,11672275,11724701,11760060,11788598,12154397,12217230,12234737,12528701,12544064,12564628,12644678,12766831,12812050,12932634,12986102,13031712,13166717,13483997,13497158,13544632,13620004,13667222,13931148,14006730,14006918,14112072,14350577,14376701,14507201,14660676,14767601,14853638,14940512,15001277,15208504,15237711,15286001,15286915,15311837,15374460,15440897,15876081,16072468,16200902,16311063,16313201,16368662,16399424,16421668,16440701,16584700,16632184,16695101,16808076,16974017,17049917,17109567,17816824,17980097,18204701,18238330,18344298,18449352,18711207,18763384,18849917,18867782,18948701,19203002,19254711,19293437,19465217,19493635,19528742,19551508,19587677,19831997,19901640,19945144,20043927,20196977,20269757,20536001,20653432,20685644,20755521,20993597,21108807,21228416,21352817,21625108,21838450,21885996,22149542,22263387,22389345,22438287,22516195,22798982,22922275,23028701,23235111,23392362,23716024,23816957,23881968,23889111,24070001,24323515,24412502,24641501,24777917,24906567,25433201,25657601,26126237,26192897,26206140,26237297,26635457,26647238,26673031,26680527,26789597,26805782,26867214,26965277,27002104,27019434,27236344,27293297,27432860,27506730,27619517,27771137,27848050,27953216,27965501,28159217,28416497,28523357,28540262,28697078,29160317,29188218,29244701,29340512,29371037,29478998,29550920,29560001,29650675,29852657,30288701,30331795,30371357,30377367,30468403,30474497,30567638,30640887,30736635,30877382,31039015,31447368,31501348,31837588,31907704,31997597,32416001,32497388,32785744,32919432,33008076,33029462,33182102,33244785,33378557,33417437,33417660,33536632,33592001,33765917,33791222,33943142,34296087,34455101,34625239,34758077,34851638,34927601,35021501,35184831,35378289,35461104,35580810,35645504,35747057,35850004,35875997,35896167,35904998,35931511,36315101,36354278,36398154,36613291,36857501,36883962,37016632,37034361,37246818,37392701,37479544,37728711,37763057,37815677,37952864,38104330,38171428,38368435,38581238,38699201,38955101,39056957,39107777,39141617,39189800,39444737,39545201,39577125,39609398,39724867,39790264,39820948,39893742,39894557,40101192,40339478,40354877,40485062,40807204,40828675,41173624,41272577,41355542,41509757,41643711,41651201,41869937,42118001,42164487,42215600,42256637,42324664,42333377,42440477,42696972,42742011,42970097,43098388,43119617,43223798,43327601,43416257,43424548,43509062,43526290,43607357,43898717,43913201,43933432,43999937,44020635,44077862,44088525,44329757,44341450,44542577,44621944,44764047,45080632,45101297,45113841,45307517,45471197,45725196,45862001,45915377,46042122,46047127,46061501,46074737,46259201,46320327,46330022,46424840,46684024,46764797,46854257,46917917,46955344,47027760,47032001,47115625,47407601,47481857,47492550,47580662,47615247,47788157,48326897,48537857,48561137,48595997,48734717,48906497,48994410,49076477,49222337,49388957,49425111,49444097,49455101,49502918,49520957,49619201,49887268,50037437,50162944,50163677,50199687,50215937,50257601,50350877,50453462,50504897,50525297,50555837,50566001,50622135,50626817,50658720,50715711,51101967,51262598,51267197,51330730,51353201,51391217,51475384,51635201,51721671,51781795,51799142,51828317,51930232,51932918,52080938,52098077,52227945,52231548,52244143,52260704,52308701,52333382,52446557,52519527,52565501,52691201,52724417,52740977,52815101,52824762,52906230,53065457,53089277,53136701,53176001,53209740,53300417,53361857,53369501,53475677,53520184,53528177,53550557,53632001,53790662,53877617,53891777,53920001,53996944,54024701,54035968,54161501,54200632,54228701,54301697,54578198,54646001,54653944,54743537,54773597,54812050,54833117,54880157,54886001,54915101,55001201,55006877,55057601,55118717,55358657,55379201,55450097,55490438,55509617,55601501,55667357,55709808,55740701,55855517,55883895,55920148,55956701,55973117,56041457,56076701,56111335,56221937,56246717,56257217,56348477,56433312,56440001,56496317,56502077,56538750,56552477,56555201,56571377,56608001,56704001,56715101,56728157,56749810,56757056,56759537,56822237,56857601,56907377,56909702,56913917,56959037,56976797,56991060,56998001,57003677,57009137,57012701,57014897,57017117,57017501,57334647,57909807,58421511,58508295,58511011,58722232,58793292,59068838,59609488,59775463,59988004,60070502,60186711,60210207,60277195,60308000,60746562,60790464,60835675,60919828,60975711,61134207,61186358,61341511,61485687,61596876,61801238,61923782,61960954,62138154,62168438,62176125,62408848,62436795,62673534,63207547,63487476,63624278,63666424,63851688,64659111,65178038,65399035,65414918,65456632,65774460,65781610,66062511,66178034,66239462,66321200,66599248,66707462,66940598,67019704,67060674,67113415,67226698,67333602,67593471,67846500,67894988,67982582,68099772,68389272,68441942,68802232,68962695,69240278,69243387,69284995,69580262,69631527,70031558,70159424,70209954,70358584,70704182,70815782,71299348,71468344,71482358,71624727,71813702,71833149,72332634,72369600,72581798,72736615,73002810,73455063,73560208,73638711,74203958,74328295,74401340,74611350,74634490,74737478,74788024,74924154,75160911,75397167,75583622,75730731,76003238,76111864,76212182,76758135,76937931,77194240,77402511,77472703,77550585,77653432,77862998,77869664,78053595,78093304,78132004,78269942,78478842,78929352,78937932,78952615,79153407,79585440,80159050,80181268,80401887,80536098,80641315,80663222,81027687,81415800,81603064,81875344,82076071,82400122,82499078,82720624,82755234,82841007,82894675,83068022,83084308,83141994,83257168,83277111,83570104,84004742,84068383,84136527,84346311,84375398,84878695,84891136,85499035,85564118,85625847,86194118,86266347,86843520,87023515,87224935,87283938,87360111,87384868,87603372,87630730,87694742,87781718,87854967,88136972,88139704,88573432,88795521,88899302,88984262,89086948,89193954,89281608,89477275,89533620,89561388,89825942,90571142,91059604,91410267,91462028,91592775,91707158,91787222,91803447,92106038,92109762,92264582,92322125,92633088,93060702,93197468,93664314,93853204,93895791,94016367,94046438,94273238,94743138,94865511,95239204,95314502,95502528,95791588,96008983,96038140,96190860,96769578,96806391,96992840,97033862,97103702,97142367,97167508,97194232,97450742,97698960,98363395,98736662,98868998,99018634,99157167,99219631,99354004,99473610,99645111,99715142,99843158,99887631,...,67359097356482994907618961740295933662591226674895005280239920244420435012184808500272946563336264666685550729606661089178763061916520584048925666314907069625758599243894699611922131346827301220230852890278395872806798662778152612265766061024252561221523858423024092064337238311774387003426456993051808547513333453719817004781617575254358085526177669763988643725798995040901015812528094406483446487660376062975126279283211299220285093026181325283438255980059978755388869912852550930011340448757818474404912853248139533873465257428700508446974228463582608105980572416491106889523720998644383118543332654327479474418564171790948176194471191681286041442661887655221366698640960762033129353572542014576667201139117743389379622940939317614266826689771736191718524648900079373686419488827938359545832725812830126772299252184613453848219140274365042734002151163672033774543734205454939590564913103386140676991217885700273663158709614874230381622519278161588570494448092090658394204220722858092480544823473567086328919697751449784165509072070514279936148956303304942458347785202977226003240297154509062893174788103844261158761640416295250504378243422258817821988704888765333725326893534215137038908782842824677014346907630528384234635188290415598940415043009716395520110064058348963098393529441924963806863800313230135649042279837055426077473783566884039771998266055127498415906195932773663520681725321138754948906798903332003538527643203245465246342058373047081224586862297102401699368714611222517038070211704636243594827201348377577237676099189993480518469216763143464152646580749636183839025729410901598325889372310697573979594477258354842903973002369160508088137206420626176836866473156442756077654531794751557884102455953824084751465522006540544647916553410618813517801580067817869839950179064083812796350283361984004678414457229859818062720525858536783889635869535998532784480209397580303952676454754974796641427567342119056188909620780698093258468284423150778105224789394551947395425486116493881637485087996253512312998374254997331430714682372237217587654230504803808386081918554660685208310610551186539788623475900092952444113039119985977742748429450366619156042998171090266227061870267023969902208854636736603994885238603702987825437662674384987803524339958334054282229938806952176622396543170505076473394322555553129799802045609997143078659176058518390055969438077569350362096073856151574983400566569}
15103   418324875359000622437309466428181800948708280834976505835602833: {30202,528185,633822,754550,769233,905460,965824,1040313,1086552,1222371,1372553,1960790,2005241,2122473,2322782,2352948,2426753,2548013,2786285,2864630,3150257,3318260,3331133,3343542,3437556,3466790,3588326,3739233,3981912,4160148,4312022,4479651,4530953,5035385,5126180,5135801,5637302,5677997,5882817,5912536,6042462,6151416,6472790,6581657,6651603,6683097,6920343,7240493,7297268,7767348,7918575,8018836,8304401,8446480,8640422,8722553,8866217,9426875,9502290,9608918,10085801,10135776,10189348,10392033,10976056,11284985,11312250,11402748,11443953,11455480,11528777,11777702,11851553,11863430,11968617,12066400,12253142,12343460,12348063,12460790,12887415,13046297,13072948,13307441,13541982,13574700,13746576,14058633,14236116,14251133,14349496,14479680,14553161,14700075,14812152,14952948,15136217,15357873,15444992,15464898,15589721,15617073,15680080,15705785,15865862,15876057,16143183,16289640,16417961,16588406,16663671,16909833,16930790,17025005,17243512,17375616,17413935,17452001,17640090,17682897,17964617,18071753,18325845,18574864,18631133,18675640,18743657,18816096,18846942,18967017,19010630,19104401,19116641,19218075,19398951,19479153,19510238,19547568,20090585,20245737,20252537,20316948,20430006,20499280,20500833,20527085,20730875,20751521,20790230,20841353,20896722,21010095,21010377,21168108,21748084,21991014,22271030,22280457,22410768,22812756,23061690,23135033,23454230,23626841,23831801,24108702,24117302,24301353,24439385,24459064,24552993,24599136,24632502,24877050,24931430,24948276,25212114,25672948,25816790,25857055,26235233,26535520,26557997,26725236,26767697,27016457,27031385,27085862,27357495,27458777,27516447,27674028,27721382,27766433,27919241,28145076,28301673,28687526,28752377,28804503,29181328,29293113,29325257,29327262,29344553,29440493,29645030,29684516,29852460,29917716,30341273,30980148,31028466,31189816,31842624,31852148,32389553,32397833,32437662,32497022,32757675,32794601,32828994,33208756,33224313,33427073,33752630,34045430,34198473,34208726,34291075,34816481,34941520,35088543,35269982,35319761,35574036,35743718,35822952,36025912,36026921,36091241,36241382,36473657,36618753,36675640,36938650,37034081,37376573,38441753,38523017,38907041,38917624,39044201,39309210,39370001,39376685,39445553,39796985,39845501,39884630,39970857,40208673,40300821,40503156,40529151,40621735,40813097,40848521,40854516,40982180,41085926,41149290,41260095,41338097,41351633,41772075,41920790,41929824,42137702,42810393,43045617,43099433,43782327,43892576,44010768,44181401,44218497,44326380,44556880,44812505,45040961,45438953,45720158,45728116,45851457,46012793,46142057,46270790,46316073,46830161,46849430,46913108,47171052,47247326,47252022,47281472,47425553,47441080,47714285,47756382,47796017,47822201,47861556,48529937,48530872,48746082,48987250,49178616,49345862,49379148,49512114,49544193,49627358,49662424,49737830,49773153,49776185,50126490,50304948,50362721,50686833,50693513,50884097,50914713,50943542,51009005,51374486,51381953,51406673,51451622,51467030,51829037,51848417,52158302,52229126,52277457,52769500,52905830,52949942,53191656,53204633,53255462,53341613,53371215,53468256,53723741,53775006,53857497,53872985,53886953,53923817,54280685,54531417,54597231,54605297,54607742,54827102,54916790,55049801,55325943,55524948,55708121,55722041,55777430,55870227,56219316,56350790,56361773,56929296,56989348,57156495,57257142,57274553,57860102,57871857,57873686,58031050,58274342,58355030,58642241,58694180,58784700,58998953,59414097,59685396,59731422,59751497,59840613,60151788,60201953,60321581,60509217,60727593,60966928,61210806,61338497,61389496,61563761,61760436,62033313,62359085,62534801,62703680,63252662,63323400,63486996,63507977,64045458,64276886,64344230,64365182,64584326,64632893,64647582,64835697,64912790,65136822,65192798,65263593,65289435,65325880,65347817,65439521,65745377,65900148,66058817,66083393,66116793,66244553,66512175,66597881,66656957,66879917,66900230,66932916,67195841,67496180,67544960,67620948,67628093,67750790,67946753,67966097,68135956,68317430,68331641,68587794,68749577,68929337,68962228,69063183,69068318,69495033,69623126,69637260,69642064,69900185,70026036,70075337,70198361,70243433,70433016,70541640,70759337,70946320,71238825,71362733,71370993,71402681,71640926,72159257,72380546,72400241,72627473,72850022,72937502,73123841,73402790,73491615,73978502,74060537,74254377,74279744,74426078,74505497,74511860,74830902,74985005,75054566,75244416,75385000,75675101,75680193,75988080,76149785,76271702,76272137,76446196,76573481,76893897,76996095,77122241,77131601,77213076,77342246,77501753,77698713,77895348,77899377,78011060,78086558,78121407,78220217,78347322,78391056,78500073,79167401,79237143,79359345,79583030,79705853,79814610,80100977,80248948,80280276,80283437,80685993,80995416,81053952,81300948,81512276,81595673,81820790,81867297,81980916,82129168,82218075,82504253,82850872,82901500,83235657,83249060,83553401,83564712,83774630,83880222,84095057,84649968,84808125,84868735,85044953,85046177,85124715,85135584,85364553,85486590,85541681,85789022,86002790,86212148,86222417,86593001,86934653,87343742,87434621,87671597,87699280,87710678,87843137,87911393,87948230,88039913,88083348,88189938,88603257,88941641,89021057,89111201,89124185,89128961,89335430,89414232,89424806,89778136,89982006,90070622,90105753,90124628,90270422,90462000,90563873,90799696,91119843,91185696,91200641,91379742,91779537,91950260,92324516,92395314,92701857,92781617,92842036,92868881,92885673,92941431,93001675,93207231,93252657,93295133,93485030,93613272,93735878,93793721,93861737,94010301,94347953,94425041,94441382,94651817,95139830,95231214,95381462,95436417,95499636,95519966,95631326,95777532,96041417,96313673,96443512,96492800,97066790,97088561,97161041,97337080,97616630,97631897,97665005,97714742,97767057,97940084,98122377,98184948,98596601,98661690,98672415,98800817,99100742,99267051,99359193,99481800,99496481,99713126,99844382,99862553,99898872,99996542,...,89812129808643993210158615653727911550121635566526673706986560325893913349579744667030595417781686222247400972808881452238350749222027445398567555086542759501011465658526266149229508462436401626974470520371194497075731550370870149687688081365670081628698477897365456085782984415699182671235275990735744730017777938293089339708823433672477447368236893018651524967731993387868021083370792541977928650213834750633501705710948398960380124034908433711251007973413305007185159883803401240015120598343757965873217137664186045164620343238267344595965637951443477474640763221988142519364961331525844158057776872436639299224752229054597568259294922241714721923549183540295155598187947682710839138096722686102222934852156991185839497254585756819022435586362314922291366198533439164915225985103917812727776967750440169029732336246151271797625520365820056978669534884896045032724978940606586120753217471181520902654957180933698217544946153165640508830025704215451427325930789454211192272294297144123307393097964756115105226263668599712220678762760685706581531941737739923277797046937302968004320396206012083857566384138459014878348853888393667339170991229678423762651606518353778300435858045620182718545043790432902685795876840704512312846917720554131920553390679621860693480085411131950797858039255899951742485067084306847532056373116073901436631711422512053029331021406836664554541594577031551360908967094851673265209065204442671384703524270993953661789411164062774966115816396136535599158286148296689384093615606181658126436268464503436316901465586657974024625622350857952203528774332848245118700972547868797767852496414263431972792636344473123871964003158880677450849608560834902449155297541923674770206042393002077178803274605098779668620696008720726197222071214158418023735440090423826453266905418778417061800377815978672904552609639813090750294034478049045186181159381331377045973612530107071936901939673299728855236756456158741585212827707597457677957712564201037473633052526069263193900648155325175516646783995004683083997832339996441907619576496316290116872307339738411181442558072880913611080814068248719718164634533457269925484052159981303656997905933822158874723997561453688302749160356031959869611806182315471993180318138270650433916883565846650404699119944445405709639918409269568829862057560673435297859096740737506399736060813329524104878901411357853407959250770092467149461431808202099977867422092}
15104   420212841630811056815944686244833954337466463846050327007740470: {45303,196183,332002,467263,573154,647623,845096,874234,950733,1025644,1097263,1131825,1207280,1235002,1358190,1387084,1448736,1629828,2134402,2346679,2672314,2701063,2829964,2941185,3137264,3484173,3529422,4107079,4147825,4194343,4296945,4458056,4515202,4542679,4583408,4870114,4976479,4977390,4985644,5015313,5156334,5165434,5173469,5200185,5309216,5342434,5382489,5408479,5494663,5546864,5972868,6181543,6240222,6284002,6407725,6468033,6636034,6928954,7390670,7455202,7689270,7843756,7878583,7962679,8038402,8056616,8201888,8298343,8329402,8455953,8716303,8868804,8910796,9063693,9121585,9227124,9298423,9604049,9709185,9712063,9778402,10023545,10297594,10356464,10558100,10860679,10945902,11160034,11446714,11591623,11651022,11753263,12028254,12156103,12304354,12555809,12557143,12669720,12703354,12736685,12876679,12960633,13158394,13514368,13555714,13720070,13856044,14064679,14253435,14319350,14378743,14413377,14535343,14855674,15083000,15088073,15203664,15258604,15284022,15314023,15429325,15755002,15958156,16253006,16315543,16341185,16464084,16538554,16697503,16968375,17077663,17104122,17183220,17374594,17666553,17763514,17795145,17907679,17936870,18055976,18099600,18328768,18379713,18515190,18539002,18691185,18744844,18870394,18951463,18981488,19306240,19468063,19600100,19609422,19696354,19749536,19916002,19937264,20054143,20190202,20312973,20362050,20477164,20619864,20822764,21064954,21168076,21212479,21354174,21401681,21524244,21554390,21719520,21827002,21927079,22218228,22352383,22429422,22546444,22704823,23055463,23126074,23167488,23197347,23218580,23344550,23449402,23520120,23577196,23682079,23798793,24308794,24434460,24469474,24882609,25057402,25088128,25129256,25289356,25396185,25459543,25533662,25624100,25865268,25972204,26063424,26330023,26333434,26460135,26967994,26994316,27089264,27185105,27240008,27291089,27334444,27645463,27710479,27862296,28013460,28013836,28224144,28270413,28515945,28701154,28753402,28932103,29014402,29249263,29265357,29321352,29535202,29707276,29878183,29881024,29940679,30002554,30314143,30417008,30475422,30572002,30573830,30623674,30645009,30748920,30881794,31175479,31185345,31345083,31522673,31540303,31721743,31752162,32022703,32082679,32091185,32144936,32401804,32441023,32622126,32626402,32678479,32737324,32798848,32843336,32881402,32973679,32986521,33169400,33208543,33264368,33325543,33390202,33406545,33616152,33616783,33790663,33948034,34052921,34099834,34219134,34479703,34592535,34933303,35181345,35633648,35960194,36163053,36175953,36409402,36476660,36688596,36863623,36898704,36917479,36948753,37105645,37315575,37397145,37422414,37526768,37699834,37735564,37769383,37818171,37897402,37927063,38240479,38406004,38509422,38586874,38705743,38725185,38930434,38987270,39057484,39103016,39175354,39468223,39568663,39663994,39803280,39815185,39890288,40087854,40393954,40539514,40628793,40703023,40751479,40920737,41072002,41306864,41371288,41469679,41510945,41511042,41516983,41582073,41705479,41987194,42217614,42456832,42464513,42705634,42902623,43031289,43250216,43270253,43305679,43350103,43454621,43676900,43746679,43771992,43921063,43990893,44007823,44299084,44467545,44526774,44564743,44778690,44817679,44876574,45032390,45192223,45597964,45803503,45844550,46057402,46083223,46280863,46470222,46542699,46784724,47354383,47391679,47432048,47633914,47760679,47763936,47778222,48140002,48265183,48336103,48616903,48647030,48656493,48745533,48825004,49243491,49283002,49365343,49464703,49555834,49628863,49791223,49813134,50484223,50576023,50628945,50866402,51068145,51227725,51313089,51315202,51486679,51654943,52064263,52252474,52385794,52412280,52431679,52474594,52584823,52820977,52834303,52904973,53052679,53270914,53294476,53346062,53361054,53380783,53539543,53579194,53606503,53611564,53615577,53715809,53734428,53930554,54004208,54036343,54038868,54057079,54362073,54379063,54472688,54475903,54586594,54737479,54865720,54898183,55013460,55019143,55103383,55234423,55239034,55250479,55407975,55467703,55542274,55571023,55628479,55642663,55696100,55698679,55767079,55885663,55906432,55931002,56082079,56195479,56238823,56260063,56318434,56456623,56527183,56568943,56585143,56832994,56892079,56933479,56992303,57014479,57046714,57080524,57160145,57394156,58320634,58376436,58489402,58641385,58681024,58742074,58957996,58963815,59101840,59120002,59301350,59705314,59826945,60577402,60663590,60742714,60754734,60936806,60948994,61135276,61281774,61473270,61628889,61723935,61754764,62078030,62881185,62894736,63002696,63206553,63675176,63815408,63995194,64742953,64832002,64994776,65571488,65838864,65961875,66016152,66058924,66364204,66489570,66757114,66834874,66835320,67073264,67184002,67531834,67582444,67886284,68580237,68592174,68910202,69250478,69406185,69516154,69703276,69855202,70043002,70274145,70369662,70643729,70756578,70870989,70878033,70922208,71161620,71236685,71291008,71494114,71634573,71700008,71751994,71792334,71809996,71863022,72494513,72630202,72708556,72796308,73119123,73226582,73367725,73480875,73715002,73767924,73955389,74018793,74033264,74068722,74268171,74441037,74493636,74606745,74785402,74959088,75189735,75457422,75526114,75631354,75905728,76208660,76342856,76415313,76736870,77061729,77162476,77177433,77200545,77398402,77910202,78113914,78215554,78237453,78283234,78343689,78379600,78555869,78889474,79090402,79154250,79218796,79358745,79424913,79449734,79580528,79641896,79787484,79789114,79883193,80202384,80662509,80678956,80709754,80970124,81614408,81657350,81911613,82240653,82347248,82375185,82545154,82711084,83019514,83287422,83302402,83666145,83739874,84236002,84328974,84370225,84388073,84431200,84513274,84526185,84649328,84666754,84880954,85169945,85393944,85484022,85885713,85940194,86196776,86202785,86239234,86447596,86655202,86790153,86810529,86832514,86849096,87018124,87046575,87052580,87214714,87411513,87532545,87797434,87826402,87866864,87999874,88041270,88155724,88177050,88659514,88682900,89085154,89243888,89528094,89597133,90161264,90202594,90227682,90615034,90942394,91450392,91558649,91724002,91816209,91830754,92084244,92094254,92123002,92149474,92518402,92640654,92660044,92849680,93139825,93368048,93529594,93708514,93835834,93910688,93958781,94055520,94064002,94231250,94815202,94878993,94963714,94985100,95161324,95230494,95557745,95576314,96068187,96415329,96516345,96547773,96653794,96876489,96971373,96998993,97075714,97122274,97191994,97369185,97469434,97513825,97705233,97789197,97812994,97988820,98152954,98444674,98777914,98850222,98888194,98910202,99005836,99041914,99238402,99774536,...,134718194712965989815237923480591867325182453349790010560479840488840870024369617000545893126672529333371101459213322178357526123833041168097851332629814139251517198487789399223844262693654602440461705780556791745613597325556305224531532122048505122443047716846048184128674476623548774006852913986103617095026666907439634009563235150508716171052355339527977287451597990081802031625056188812966892975320752125950252558566422598440570186052362650566876511960119957510777739825705101860022680897515636948809825706496279067746930514857401016893948456927165216211961144832982213779047441997288766237086665308654958948837128343581896352388942383362572082885323775310442733397281921524066258707145084029153334402278235486778759245881878635228533653379543472383437049297800158747372838977655876719091665451625660253544598504369226907696438280548730085468004302327344067549087468410909879181129826206772281353982435771400547326317419229748460763245038556323177140988896184181316788408441445716184961089646947134172657839395502899568331018144141028559872297912606609884916695570405954452006480594309018125786349576207688522317523280832590501008756486844517635643977409777530667450653787068430274077817565685649354028693815261056768469270376580831197880830086019432791040220128116697926196787058883849927613727600626460271298084559674110852154947567133768079543996532110254996831812391865547327041363450642277509897813597806664007077055286406490930492684116746094162449173724594204803398737429222445034076140423409272487189654402696755154475352198379986961036938433526286928305293161499272367678051458821803196651778744621395147959188954516709685807946004738321016176274412841252353673732946312885512155309063589503115768204911907648169502931044013081089295833106821237627035603160135635739679900358128167625592700566723968009356828914459719636125441051717073567779271739071997065568960418795160607905352909509949593282855134684238112377819241561396186516936568846301556210449578789103894790850972232987763274970175992507024625996748509994662861429364744474435175308461009607616772163837109321370416621221102373079577246951800185904888226078239971955485496858900733238312085996342180532454123740534047939804417709273473207989770477207405975650875325348769975607048679916668108564459877613904353244793086341010152946788645111106259599604091219994286157318352117036780111938876155138700724192147712303149966801133138}
15105   422109260361190593496036759262194792239862438023850325053498374: {60404,498003,739459,859731,1056370,1267644,1282055,1311351,1509100,1538466,1733855,1810920,1825043,1852503,1931648,2037285,2080626,2173104,2444742,2745106,2819399,3201603,3537455,3723031,3900799,3921580,4008471,4010482,4244946,4645564,4705896,4853506,5096026,5294133,5572570,5729260,6069583,6232055,6300514,6636520,6662266,6687084,6772803,6788903,6875112,6933580,7049539,7176652,7305171,7466085,7478466,7734501,7748151,7963824,8013651,8320296,8624044,8959302,9061906,9360333,9426003,9804695,9954051,10040351,10070770,10252360,10271602,10393431,11086005,11138495,11182803,11274604,11355994,11533905,11765634,11825072,11919583,12057603,12084924,12302832,12494103,12945580,13163314,13197625,13303206,13366194,13840686,14480986,14594536,14667603,15418351,15446391,15534696,15798979,15837150,16037672,16418853,16608802,16740051,16892960,17170071,17280844,17320055,17445106,17476533,17732434,18042381,18125519,18456531,18853750,19004580,19055031,19073255,19217836,19737591,19947695,20036323,20171602,20271552,20333571,20378696,20577439,20580105,20784066,20823031,21230911,21479025,21952112,21988099,22283511,22540199,22569970,22624500,22805496,22887906,22910960,22926033,23057554,23431055,23555404,23632503,23703106,23726860,23835007,23937234,24132800,24379509,24500125,24506284,24686920,24696126,24807831,24921580,25596455,25656183,25694087,25774830,26028455,26061891,26092594,26145896,26460095,26614882,26645271,26905305,27083964,27149400,27493152,27772785,27808503,28117266,28126819,28183055,28305591,28389583,28472232,28502266,28698992,28737919,28937759,28959360,29023225,29106322,29321731,29400150,29414133,29471495,29544531,29624304,29874003,29905896,30272434,30285303,30543075,30715746,30889984,30929796,31179442,31234146,31360160,31411570,31597431,31611695,31634551,31731724,31752114,32030125,32031261,32281799,32286366,32331585,32465255,32579280,32740503,32835922,33176812,33309239,33327342,33644133,33742895,33819666,33861580,34050010,34168055,34215139,34487024,34689111,34751232,34820879,34827870,34904002,35016825,35017295,35174103,35280180,35365794,35929234,36143506,36199877,36463191,36651690,36704211,37122899,37134095,37149728,37262266,37351280,37487314,37586103,37632192,37693884,37840487,37843939,37934034,38021260,38208802,38233282,38300493,38436150,38797902,38904431,38958306,39020476,39095136,39475027,39500151,40181170,40451991,40491474,40502255,40505074,40633896,40860012,40921655,40981523,40998560,41001666,41054170,41461750,41503042,41580460,41682706,41793444,42020190,42020754,42336216,42906083,43051731,43105231,43130103,43496168,43521603,43982028,44302803,44533207,44542060,44560914,44821536,45003831,45047363,45595825,45625512,45713133,45786983,45858003,45860745,45935511,46123380,46216531,46270066,46322691,46448807,46528183,46908460,47169455,47253682,47628243,47663602,48007505,48217404,48234604,48370559,48602706,48821855,48878770,48918128,48933189,48939603,49105986,49198272,49265004,49322103,49754100,49862860,49869959,49896552,50085303,50424228,50572643,50897251,50922051,51149751,51328701,51345896,51633580,51714110,52214383,52470466,53071040,53115994,53450472,53535394,53940291,54032914,54062770,54171724,54596125,54614103,54714990,54917554,55032894,55127359,55348056,55373855,55442764,55532866,55715779,55751743,55838482,56133621,56287747,56289299,56290152,56549751,56603346,56846103,56870429,56997455,57239303,57375052,57504754,57609006,57764133,57880311,58362656,58395651,58480905,58586226,58650514,58654524,58689106,58763031,58846339,58880986,59290060,59352647,59369032,59495991,59704920,59835432,60131781,60135751,60590931,60682546,60809271,61031255,61608003,61960296,62056932,62266563,62379632,62615327,62737507,62980791,63326421,63685248,63704296,64058451,64779106,64795666,64796639,64875324,64994044,65416163,65515350,65589202,65616359,65657988,65848631,66417512,66448626,66618095,66790161,66799999,66854146,67014455,67168035,67314861,67505260,67548585,68090860,68396946,68417452,68582150,68766825,69086103,69267983,69620125,69632962,69686659,69705333,69854563,69883040,70177086,70539964,70639522,71000879,71148072,71350655,71412607,71450871,71487436,71645904,71667333,71742695,72051824,72053842,72182482,72210003,72482764,72490951,72947314,72970545,73237506,73351280,73697495,73877300,73924503,74068162,74203943,74333751,74719701,74753146,75138899,75188579,75422179,75992959,76299603,76419095,76779847,76883506,76972803,77046034,77193455,77330327,77814082,77835248,78069511,78088402,78378711,78539207,78578691,78618420,78711891,78740002,78753370,78891106,79593970,79600919,79691002,79769260,79906371,79941714,80019093,80032703,80041581,80368791,80417346,80601642,80732003,80895831,81006312,81058302,81243470,81591971,81626194,81697042,81709032,81879891,81964360,82171852,82298580,82520190,82573655,82676194,82703266,82858551,82955255,83313411,83544150,83624671,83841580,83859648,83896503,84275404,84477651,84478055,84857855,85003727,85249491,85570071,85619363,85620786,86091234,86198866,86205907,86957159,87129095,87302719,87480951,87564654,87734103,87785152,88021536,88051951,88106243,88113111,88362802,88436994,88441399,88652760,88680003,88952025,89068199,89113760,89194771,89469671,89557971,89625010,89762495,90081922,90866103,90877906,90885695,90995385,91114071,91132101,91405209,91423491,91440316,91456232,91648031,91702914,91922661,92025586,92209905,92284114,92541580,92632146,93117045,93284227,93660322,93698860,93826216,94309907,94342104,94494652,94504044,94562944,94664791,94851106,94882160,95260825,95428570,95512764,95592034,95644402,95723112,95992791,96453095,97059874,97061744,97204487,97248003,97492164,97721047,97860259,97974500,98357232,98691724,98758296,99023495,99024228,99088386,99254716,99324848,99475660,99546306,99552370,99698239,99734355,...,202077292069448984722856885220887800987773680024685015840719760733261305036554425500818839690008794000056652188819983267536289185749561752146776998944721208877275797731684098835766394040481903660692558670835187618420395988334457836797298183072757683664571575269072276193011714935323161010279370979155425642540000361159451014344852725763074256578533009291965931177396985122703047437584283219450339462981128188925378837849633897660855279078543975850314767940179936266166609738557652790034021346273455423214738559744418601620395772286101525340922685390747824317941717249473320668571162995933149355629997962982438423255692515372844528583413575043858124327985662965664100095922882286099388060717626043730001603417353230168138868822817952842800480069315208575155573946700238121059258466483815078637498177438490380316897756553840361544657420823095128202006453491016101323631202616364818771694739310158422030973653657100820989476128844622691144867557834484765711483344276271975182612662168574277441634470420701258986759093254349352496527216211542839808446868909914827375043355608931678009720891463527188679524364311532783476284921248885751513134730266776453465966114666296001175980680602645411116726348528474031043040722891585152703905564871246796821245129029149186560330192175046889295180588325774891420591400939690406947126839511166278232421350700652119315994798165382495247718587798320990562045175963416264846720396709996010615582929609736395739026175119141243673760586891307205098106143833667551114210635113908730784481604045132731713028297569980441555407650289430392457939742248908551517077188232704794977668116932092721938783431775064528711919007107481524264411619261878530510599419469328268232963595384254673652307367861472254254396566019621633943749660231856440553404740203453609519850537192251438389050850085952014035243371689579454188161577575610351668907608607995598353440628192740911858029364264924389924282702026357168566728862342094279775404853269452334315674368183655842186276458349481644912455263988760536938995122764991994292144047116711652762962691514411425158245755663982055624931831653559619365870427700278857332339117359957933228245288351099857468128994513270798681185610801071909706626563910209811984655715811108963476312988023154963410573019875002162846689816420856529867189629511515229420182967666659389399406136829991429235977528175555170167908314232708051086288221568454724950201699707}
15106   424014169088583439299476833295695202092276049489314523617441372: {75505,90606,346909,392366,437233,664004,797809,934526,1146308,1295246,1336513,1584555,1690192,1748468,1886375,1901466,2050753,2051288,2194526,2228593,2263650,2307699,2414560,2470004,2494813,2716380,2774168,2897472,3120939,3259656,3377533,3553213,3667113,3903709,4117659,4268804,4340209,4693358,4901975,5121373,5207809,5294173,5344628,5402126,5638909,5659928,5724913,5806955,5882370,6015723,6274528,6367419,6580993,6836413,6968346,7006333,7058844,7161575,7280259,7644039,8103793,8187709,8214158,8271553,8295650,8358855,8388686,8522653,8593890,8666975,8916112,8939713,8970815,9030404,9085358,9166816,9450771,9520573,9740228,9850909,9952958,9954780,9971288,9993399,10030626,10312668,10330868,10344253,10346938,10400370,10618432,10684868,10764978,10780055,10816958,10989326,11093728,11217699,11945736,12211393,12291709,12363086,12480444,12568004,12770219,12815450,12936066,13170433,13272068,13408573,13438953,13487809,13592859,13857908,14032963,14093255,14354653,14745793,14781340,14910404,15106155,15367873,15378540,15407403,15522673,15687512,15757166,15925358,16076804,16113232,16181975,16403776,16596686,16598209,16658804,16911906,16978909,17033991,17054833,17432606,17648451,17659633,17737608,17821592,17831359,18035293,18127386,18243170,18454248,18596846,19208098,19299073,19418370,19424126,19519933,19556804,19744971,19954809,20047090,20049291,20062163,20251453,20324209,20595188,20712928,20761029,21047809,21116200,21406909,21601055,21692893,21721358,21721479,21835453,21891804,22048753,22320068,22877659,22893428,22895473,23183246,23302044,23506526,23755725,24022295,24056508,24312206,24489373,24608708,24830833,24913203,24966913,25111618,25114286,25339440,25406708,25473370,25753358,25921266,25978333,26167659,26178673,26245309,26316788,26598651,26907709,26973553,27028736,27111428,27301693,27440140,27712088,27887809,28129358,28280625,28468093,28506870,28532209,28638700,28757486,28826754,29070686,29422273,29444255,29658575,29711348,30166000,30176146,30257403,30407328,30422209,30517208,30568044,30628046,30632855,30669313,30858650,30976573,31098973,31151975,31176099,31510004,31916312,32307133,32506012,32604673,32631086,32682370,32841409,32928168,33077108,33395006,33428209,33776833,33854955,33936750,34155326,34208244,34237633,34331859,34366440,34586331,34749188,34807153,34863709,35201533,35333106,35425309,35481073,35527028,35554659,35590290,35815358,35873740,35905851,35924593,35979709,36111952,36199200,36308893,36657536,36759426,37030380,37044189,37078004,37382370,37387453,37489688,37546753,37740788,37810813,37902926,37962976,38059147,38125309,38177473,38612480,38662245,38936126,38951293,39138891,39154909,39200200,39205633,39218844,39392708,39499072,39664655,39708913,39832004,39858493,39874528,39922323,40108286,40204993,40380404,40625946,40724100,40839133,40954328,41079793,41239728,41471015,41555713,41602909,41645528,41884573,41914763,42129908,42175899,42326975,42336152,42424958,42708348,42753399,42803362,43048488,43108780,43209409,43431709,43439040,43654004,43659483,43854158,43914433,44044573,44100225,44345713,44436456,44516209,44558653,44704766,44769793,44858844,44927659,44979133,45092888,45310333,45351409,45408651,45409646,45514993,45918913,46073619,46110926,46157809,46197373,46252148,46334976,46394694,46437160,46689100,46769163,46851219,46898804,46935409,47040240,47087473,47117355,47154392,47364158,47526575,47597586,47628171,47684209,47830513,47878919,48011773,48360871,48429549,48579709,48614593,48617588,48753409,48775595,48787933,48868920,48938948,49253883,49430209,49562113,49765218,49991013,50114804,50176256,50204353,50235709,50258512,50360413,50391409,50545309,50578712,50727613,50729499,50792370,50919086,51025693,51067324,51075015,51248200,51730536,51849409,51944408,51947903,51975575,51985309,52126848,52241805,52356003,52356253,52485313,52660046,52666868,52738033,52762909,52910653,52920270,53048691,53127409,53384413,53498353,53588209,53893851,53914909,53935988,53988632,54020209,54144193,54178528,54205213,54215259,54245533,54305473,54325309,54370210,54480016,54582178,54668888,54779773,54977535,55059709,55143409,55290926,55368193,55399153,55420958,55445053,55475293,55534909,55607809,55622173,55677575,55724592,55741259,55893399,56026920,56027672,56067709,56079553,56230971,56248573,56352253,56381953,56448288,56463803,56529409,56540826,56571709,56579953,56694973,56722909,56756209,56762653,56901051,56913853,56942833,56957809,56974909,57006193,57031890,57033409,57038593,57044893,57046513,57046909,57047233,57047773,57313203,57349923,57402308,57506804,57654225,57864206,58028804,58115323,58196853,58437459,58498526,58530714,58635575,58642704,59070404,59414552,59756366,59762048,59881358,60005108,60271755,60293255,60628286,60737211,60757611,60834016,60950844,61144004,61147660,61247348,61290018,61497840,61502499,61581255,61763588,62192625,62254563,62328575,62350958,62370690,62424791,62524059,62690166,63030285,63031131,63045346,63080606,63443486,63504324,64045406,64165358,64182370,64289872,64541975,64803608,64882046,65244252,65252804,65356958,65474648,65597696,65686672,65762804,65947358,65973042,66338800,66417086,66528736,66651086,66780404,66813090,66841371,67232304,67233566,67581326,67714655,67896068,68105842,68199668,68438268,68959406,69185070,69303455,69405099,69866606,70362690,70880523,71267296,71495403,71718815,71920388,72326106,72351906,72359771,72818804,72904059,72953320,73318155,73377192,73658979,73727246,73797408,73834958,73897506,74112575,74211290,74631150,74794290,74844828,75053536,75399668,75471128,75538766,75636342,75794804,75854126,76480958,76514399,76812008,77018844,77173748,77411486,77450370,77571165,77860868,77974540,78114968,78206032,78350708,78705699,78936446,79137326,79327988,79606560,79630370,79673991,79780576,80024203,80175708,80303091,80787908,81049371,81079028,81094155,81242555,81257586,81406046,81502958,81841474,82072485,82097939,82144004,82376331,82549341,82613728,82656023,82742576,82939358,83021890,83022084,83033966,83164146,83299299,83410958,83757723,83974388,84381575,84435228,84905019,84913664,84929026,85113575,85411268,85521815,85805246,86062578,86257131,86413509,86500432,86540506,86611358,86700206,86909242,87353800,87493358,87543984,87842126,87879339,87975771,87981786,88015646,88033659,88174955,88321479,88598168,88935090,89053548,89129486,89359295,89557380,89635358,89753148,90064780,90384446,90603455,91023819,91195928,91607006,91689100,92114804,92166446,92346625,92561726,92940444,93085398,93569448,94708766,94783358,94864096,95267828,95521358,95527872,95556444,96280004,96393803,96530366,96672206,97168659,97193499,97233806,97294060,97312986,97491066,97650008,98273025,98383803,98486982,98566004,98730686,98929406,99111668,99257726,99582446,99626268,99672939,99711575,99731359,...,269436389425931979630475846961183734650364906699580021120959680977681740048739234001091786253345058666742202918426644356715052247666082336195702665259628278503034396975578798447688525387309204880923411561113583491227194651112610449063064244097010244886095433692096368257348953247097548013705827972207234190053333814879268019126470301017432342104710679055954574903195980163604063250112377625933785950641504251900505117132845196881140372104725301133753023920239915021555479651410203720045361795031273897619651412992558135493861029714802033787896913854330432423922289665964427558094883994577532474173330617309917897674256687163792704777884766725144165770647550620885466794563843048132517414290168058306668804556470973557518491763757270457067306759086944766874098595600317494745677955311753438183330903251320507089197008738453815392876561097460170936008604654688135098174936821819758362259652413544562707964871542801094652634838459496921526490077112646354281977792368362633576816882891432369922179293894268345315678791005799136662036288282057119744595825213219769833391140811908904012961188618036251572699152415377044635046561665181002017512973689035271287954819555061334901307574136860548155635131371298708057387630522113536938540753161662395761660172038865582080440256233395852393574117767699855227455201252920542596169119348221704309895134267536159087993064220509993663624783731094654082726901284555019795627195613328014154110572812981860985368233492188324898347449188409606797474858444890068152280846818544974379308805393510308950704396759973922073876867052573856610586322998544735356102917643606393303557489242790295918377909033419371615892009476642032352548825682504707347465892625771024310618127179006231536409823815296339005862088026162178591666213642475254071206320271271479359800716256335251185401133447936018713657828919439272250882103434147135558543478143994131137920837590321215810705819019899186565710269368476224755638483122792373033873137692603112420899157578207789581701944465975526549940351985014049251993497019989325722858729488948870350616922019215233544327674218642740833242442204746159154493903600371809776452156479943910970993717801466476624171992684361064908247481068095879608835418546946415979540954414811951301750650697539951214097359833336217128919755227808706489586172682020305893577290222212519199208182439988572314636704234073560223877752310277401448384295424606299933602266276}
15107   425927605516808929248502044039437715307080324380033594917101656: {15107,120808,135909,588549,830005,996006,1401789,1432885,1478918,1719462,1794877,1942869,2112740,2156869,2185585,2427397,2535288,2564110,2622702,2852199,3018200,3076932,3087505,3151093,3291789,3332017,3395475,3467710,3621840,3650086,3705006,3813469,3863296,4074570,4161252,4346208,4356097,4889484,4952437,5336005,5490212,5638798,6403206,6680785,7040037,7074910,7120069,7425073,7446062,7801598,7843160,7967269,8016942,8020964,8023249,8103189,8489892,8724877,8823555,9291128,9411792,9468337,9707012,10192052,10452519,10588266,10732789,11145140,11288005,11458520,12139166,12175285,12321237,12443475,12464110,12583029,12601028,12890835,12913585,13049773,13273040,13324532,13356085,13374168,13545606,13577806,13628037,13706869,13726573,13750224,13867160,14099078,14353304,14610342,14929437,14932170,14956932,15045939,15076093,15469002,15496302,15520407,15593893,15600555,15710005,15927648,16027302,16147467,16225437,16483989,16590085,16640592,17248088,17322385,17918604,18123812,18322789,18476675,18544629,18623869,18636097,18638005,18720666,18852006,19223175,19404099,19609390,19908102,20080702,20096005,20141540,20257933,20487253,20504720,20543204,20786862,20823505,20911693,22172010,22276990,22365606,22549208,22711988,22869253,23067810,23141197,23531268,23635749,23650144,23839166,23888037,24115206,24169848,24248077,24446005,24498133,24516229,24605664,24895029,24988206,25367859,25743985,25799653,25891160,26148909,26326628,26395250,26565073,26606412,26638417,26702557,26732388,27191079,27254077,27364755,27424573,27466093,27681372,27895269,27900085,27926773,28398469,28616785,28812147,28961972,29127555,29136189,29189072,29335206,29448337,30070635,30349357,30760885,30836702,30892782,31069392,31597958,31674300,31758385,32075344,32582037,32609533,32623249,32803477,32837706,32895985,33163717,33217604,33480102,33785920,33889285,34300175,34340142,34561688,34640110,34774869,34805509,34890212,34953066,35259789,35329213,35464868,35798375,35835037,36084762,36251038,36439837,36468309,36913062,37044133,37127893,37139185,37227973,37449973,37667427,37671429,37707500,38009160,38110062,38146510,38151217,38210055,38348413,38435672,38630037,38881899,38917453,39387505,39456277,39475182,39895390,40072646,40343204,40543104,40632515,40667142,40757392,41154878,41160210,41260093,41346385,41568132,41646062,42194037,42292309,42366397,42461822,42760305,42958050,43136229,43240131,43436485,43606029,43689397,43872517,43873093,43904224,43976198,44256373,44408785,44567022,44842175,45080398,45139940,45249000,45264219,45451357,45610992,45775812,45821920,45852066,45942069,46112869,46115108,46287975,46347505,46862110,47097997,47110808,47175985,47240053,47265006,47317009,47406212,47453720,47670014,47835277,47874468,48265600,48432709,48759018,48877057,48946629,49000250,49012568,49023555,49024213,49240885,49373840,49392252,49615662,49652173,49790005,49843160,50092509,50376253,50475505,50707189,50897869,50905125,50987149,51192910,51232989,51312366,51388174,51534373,51549660,51987733,52056910,52123782,52185188,52291792,52662385,52920190,52999659,53229764,53290542,53370973,53385435,53723037,53810610,53885975,54061213,54111889,54167928,54298800,54567505,54711613,54986304,55064533,55139139,55545570,55617006,55737013,55939153,56073555,56234532,56253638,56360797,56366110,56381029,56611182,56613733,56703157,56779166,56783653,56854389,56944464,57004532,57290317,57397984,57475838,57815185,57875518,57918720,58046450,58196413,58212644,58361375,58404189,58623505,58643462,58800300,58828266,58942990,59089062,59248608,59531713,59748006,59767669,59811792,60162429,60219109,60339613,60408469,60544868,60570606,60771985,60938919,61086150,61173685,61355173,61431492,61779968,61859592,61985869,62358884,62468292,62535217,62643505,62720320,62823140,63194862,63223390,63269102,63445933,63463448,63504228,63637437,63834155,64060250,64062522,64190533,64205043,64508209,64563598,64572732,64663170,64930510,65158560,65481006,65671844,65781237,65833585,66037237,66101149,66291517,66353624,66523717,66618478,66654684,66842833,67057149,67210507,67288266,67419985,67452997,67485790,67639332,67646449,67723160,67776433,68100020,68114469,68336110,68350597,68430278,68817157,68974048,69166389,69378222,69502464,69592041,69641758,69655740,69754417,69770509,69808004,70033650,70034590,70348206,70560360,70731588,70778653,71046237,71207533,71396379,71404069,71752885,71858468,71883505,72287012,72399754,72406837,72409333,72419773,72536005,72646909,72926382,73303380,73408422,73590253,73703857,73838005,74245798,74268190,74299456,74524532,74525869,74647827,74702560,74974628,75006385,75149173,75172206,75264384,75387768,75680974,75687878,75868068,76042520,76188555,76378629,76417604,76430005,76434575,76466564,76559185,76593973,76600986,76872300,76893937,77152477,77204485,77523397,77595804,77787373,77808862,77916612,78040952,78136573,78190272,78194353,78950054,78990069,79000302,79380405,79383517,79586509,79796437,80362340,80743069,80903982,80982948,81004510,81010148,81201553,81267792,81555315,81566005,81617509,81720024,81843310,81873267,81963046,81997120,82003332,82108340,82203505,82274749,82459093,82663453,82923500,82936389,83006084,83048893,83131437,83160920,83175877,83365412,83475505,83586888,83856193,83893813,84040380,84041508,84519937,84672432,84764437,84811239,84870085,85249585,85443757,85547835,85564573,85812166,85866709,86103462,86210462,86260206,86796309,86992336,87043206,87458353,87541333,87642397,87695569,87747789,87796071,87964056,88436737,88605606,88800517,88965733,89066414,89069173,89084120,89121828,89152813,89634549,89643072,89652229,89822037,89900485,89903293,90002869,90007662,90094726,90588109,90866053,90942429,90971173,91023505,91191650,91251024,91426266,91573966,91716006,91721490,91856797,91871022,91917853,91935027,92152093,92246760,92329429,92433062,92540132,92645382,92897614,93056366,93265333,93320497,93526437,93556035,93816920,93820237,94035249,94249585,94338910,94450093,94507364,94568019,94603069,94620909,94743505,95165229,95256486,95327204,95355697,95410549,96015010,96068109,96072709,96089197,96248037,96273555,96434808,96467185,96469208,96741118,96743053,97187413,97205412,97323069,97326085,97468175,97506853,97643710,97757540,97764133,97836256,97866378,97879206,97938385,98035437,98211972,98268973,98396544,98530008,98623093,98644206,98921037,98959563,99159985,99508200,99625629,99725720,99739918,99793104,99890917,99976629,...,404154584138897969445713770441775601975547360049370031681439521466522610073108851001637679380017588000113304377639966535072578371499123504293553997889442417754551595463368197671532788080963807321385117341670375236840791976668915673594596366145515367329143150538144552386023429870646322020558741958310851285080000722318902028689705451526148513157066018583931862354793970245406094875168566438900678925962256377850757675699267795321710558157087951700629535880359872532333219477115305580068042692546910846429477119488837203240791544572203050681845370781495648635883434498946641337142325991866298711259995925964876846511385030745689057166827150087716248655971325931328200191845764572198776121435252087460003206834706460336277737645635905685600960138630417150311147893400476242118516932967630157274996354876980760633795513107680723089314841646190256404012906982032202647262405232729637543389478620316844061947307314201641978952257689245382289735115668969531422966688552543950365225324337148554883268940841402517973518186508698704993054432423085679616893737819829654750086711217863356019441782927054377359048728623065566952569842497771503026269460533552906931932229332592002351961361205290822233452697056948062086081445783170305407811129742493593642490258058298373120660384350093778590361176651549782841182801879380813894253679022332556464842701401304238631989596330764990495437175596641981124090351926832529693440793419992021231165859219472791478052350238282487347521173782614410196212287667335102228421270227817461568963208090265463426056595139960883110815300578860784915879484497817103034154376465409589955336233864185443877566863550129057423838014214963048528823238523757061021198838938656536465927190768509347304614735722944508508793132039243267887499320463712881106809480406907219039701074384502876778101700171904028070486743379158908376323155151220703337815217215991196706881256385481823716058728529848779848565404052714337133457724684188559550809706538904668631348736367311684372552916698963289824910527977521073877990245529983988584288094233423305525925383028822850316491511327964111249863663307119238731740855400557714664678234719915866456490576702199714936257989026541597362371221602143819413253127820419623969311431622217926952625976046309926821146039750004325693379632841713059734379259023030458840365935333318778798812273659982858471955056351110340335816628465416102172576443136909449900403399414}
15108   427849607515784231998105687956280566840232368824710315657365549: {105707,151010,181212,256547,467387,693818,707867,784732,874466,1328008,1494009,1595618,1869052,2080691,2218377,2258507,2292616,2347307,2579193,2590492,2640925,2672291,2673026,3143267,3169110,3380384,3407291,3496936,3553691,3582947,3772750,3802932,3816707,3846165,3934053,4101506,4102576,4108187,4166387,4389052,4457186,4527300,4601867,4615398,4829120,4940008,4977827,4989626,5150891,5201565,5409947,5432760,5475129,5548336,5557509,5794944,6011891,6111855,6241878,6439691,6519312,6755066,6862765,7007291,7106426,7120427,7334226,7807418,7964867,8104907,8129737,8235318,8300627,8458197,8537608,8680418,8968691,9356267,9386716,9521891,9549467,9604809,9769787,9803950,10026205,10099307,10242746,10345691,10415618,10588346,10612365,10618691,10689256,10804252,10918067,11169093,11270627,11277818,11319856,11449826,11613910,11702397,11764740,11810387,12025413,12031446,12133765,12213107,12239891,12549056,12559141,12614027,12734838,12740065,12933467,13161986,13672826,13931425,13936692,14012666,14117688,14323150,14382827,14560518,14773907,15092077,15288078,15370067,15524891,15751285,15882399,16207586,16375418,16428316,16524227,16543106,16591300,16655665,16702307,16717710,16777372,17045306,17057291,17082587,17187780,17309891,17333950,17662187,17687291,17832224,17879426,17941630,17962907,18060808,18170716,18187691,18208749,18287387,18333632,18696165,18901542,19041146,19178891,19480456,19522787,19547291,19669691,19701818,19730557,19905916,19909560,19913891,19942576,19986798,20061252,20181587,20278691,20318409,20366709,20545067,20625336,20661736,20688506,20693876,20786387,20800740,21148617,21236864,21266627,21369736,21529956,21560110,21633916,21719891,21862427,21915513,21978652,22187456,22288307,22398255,22406147,22435398,22654765,22758467,22898891,23203503,23244453,23271947,23689187,23709829,23891472,24040953,24080867,24422786,24583418,24720947,24726172,24857291,24960888,24970691,25136008,25176925,25444787,25540438,25630900,25646891,25679005,25872132,26071427,26204891,26340866,26544136,26817146,26877906,26975618,27185718,27305891,27632291,27715816,27762347,28065926,28080999,28186510,28278009,28389985,28709306,29110547,29321627,29414085,29491586,29552891,29562680,29820808,29862153,29991707,30121053,30212310,30241477,30612467,30735746,30757080,30814806,30879227,31045346,31180293,31185347,31375024,31514332,31832387,31850716,31912691,32153608,32226464,32363950,32431547,32688947,32728427,32807552,32908285,33082307,33193372,33196418,33219227,33258015,33317608,33375227,33415485,33491891,33548409,33569507,33631213,33782291,33801587,33823812,33957818,34067982,34109666,34601715,34642691,34865212,35001107,35296902,35319266,35375267,35475216,35643184,35662718,35758749,36070586,36172809,36202465,36254772,36314891,36333107,36424067,36486340,36659627,36908496,36929747,37193692,37411427,37482309,37553027,37817147,37834691,37939787,38288027,38416196,38598146,38836740,38848252,38974907,39025907,39039866,39113608,39127691,39212291,39229187,39489942,39592875,39715691,39732347,39865307,39909618,40094180,40098582,40124326,40502906,40554947,40648418,40717067,40862291,41086907,41102891,41190376,41221957,41278187,41425856,41522005,41522058,41562947,41720027,41985227,42095618,42186467,42232400,42278891,42508691,42812291,42813818,42885997,42947867,43127627,43202110,43321067,43350707,43385786,43442716,43442958,43612765,43670906,43783608,43791467,43936787,44002809,44052467,44097506,44331085,44353691,44580827,44640136,44777891,44791907,45332291,45536891,45755318,45786856,45790946,45927347,45940691,46086947,46219067,46255053,46284827,46339173,46366492,46604088,46649387,46713827,47013052,47096267,47134375,47247227,47372147,47396937,47434307,47471507,47511450,47619587,47778707,47851691,48032891,48044590,48113016,48460427,48623891,48624412,48635507,48797291,48978746,49206107,49217416,49256559,49406627,49535629,49661666,49810667,49826406,49933826,50182787,50220153,50223236,50228572,50318507,50370347,50380691,50429005,50585891,50678880,50737691,50813416,50946740,51035891,51045707,51365147,51422291,51506716,51510213,51694427,51842532,51887291,51956666,51960165,51968867,52335318,52357346,52367027,52429599,52490618,52504691,52555787,52633576,52748987,52757291,52872707,52929827,53074907,53122691,53197302,53403347,53426267,53509691,53511733,53584691,53666267,53688347,53761427,53815418,53947106,54057472,54080387,54127143,54162707,54216947,54222856,54223691,54263987,54376557,54415787,54588587,54603386,54851747,54880280,54887291,54951707,55286027,55354667,55369593,55411691,55416827,55424176,55432187,55457627,55492907,55530517,55562291,55639667,55653947,55705691,55775618,55792787,55911587,56092691,56096627,56116187,56166107,56258716,56265467,56297291,56314691,56365691,56424925,56462291,56480747,56561250,56584177,56596427,56633891,56657147,56694467,56711267,56745947,56752667,56776691,56785187,56797691,56827691,56906891,56936186,56942507,56957291,57013740,57020891,57021707,57044147,57053891,57058427,57061547,57062867,57062891,57064418,57165093,57219765,57277400,57514972,57643885,57653508,58059421,58141372,58844546,58888510,59212773,59257765,59317150,59422696,59843085,60108969,60332000,60352292,60514806,60814656,60844418,61000713,61034416,61136088,61256092,61265710,61338626,61717300,61732317,61740315,61953146,62197946,62303950,62352198,62469093,63020008,63692733,63832624,64437075,64614266,65012024,65209346,65231485,65262172,65364740,65682818,65856336,65964297,66154216,66537205,66729949,66790012,66850533,66856418,67553666,67620597,67709910,67873500,68285833,68310652,68416488,68475266,68663718,68732880,68778099,69172662,69498376,69614306,69727418,70293165,70403066,70666212,70850618,70897509,70962146,71054056,71109318,71180580,71255665,71505021,71630716,71747480,71811702,71849186,71959418,72223904,72398400,72617786,72765805,73138527,73315072,73500375,73518852,73774753,74060760,74088378,74156008,74423493,74764740,74774906,74979376,75093506,75481576,75621626,75681085,75805852,75925952,76118294,76250618,76354946,76789365,76968549,77082261,77224960,77324490,77872252,77902586,77948605,78085365,78185673,78277782,78309818,78400400,78411266,78437688,78528925,78785416,78998144,79329310,79380285,79417826,79664008,79716986,79749056,79844646,79935813,80216572,80409986,80715915,80760808,81251892,81448200,81678266,81908656,82089805,82159586,82479456,82942030,83111426,83205818,83291056,83318355,83425509,83769146,83829526,84259816,84351798,84380457,84410557,84549165,84653950,84672304,84849916,84916773,85125025,85168749,85416696,85506798,85516093,85606724,86096976,86213757,86217560,86418818,86813277,86863418,86878080,87069675,87260005,87308008,87318966,87708316,87828866,87965193,88089146,88200450,88242399,88414485,88633593,88691426,88872912,89032418,89117306,89409532,89539586,89622009,89717688,89823085,89855318,89958266,90185776,90358765,90620666,90702818,90817302,90819292,90855909,91029986,91629225,91837826,92147238,92221852,92315618,92380261,92394746,92504296,92669952,92789388,92874320,93155665,93378200,93538326,93702438,93718285,93797608,93870818,94080480,94174946,94234710,94308784,94728316,94792293,94800517,94835085,94903653,95053150,95195172,95256342,95368418,95522005,95583205,95661026,95757838,96023546,96090375,96093783,96721742,96845397,96859098,96994755,97024837,97159418,97229186,97235176,97395765,97506818,97551190,97575866,97737840,97877896,98221509,98507766,98860418,99124226,99530436,99927717,99982026,...,606231876208346954168570655662663402963321040074055047522159282199783915109663276502456519070026382000169956566459949802608867557248685256440330996834163626631827393195052296507299182121445710982077676012505562855261187965003373510391894549218273050993714725807216828579035144805969483030838112937466276927620001083478353043034558177289222769735599027875897793532190955368109142312752849658351018388943384566776136513548901692982565837235631927550944303820539808798499829215672958370102064038820366269644215679233255804861187316858304576022768056172243472953825151748419962005713488987799448066889993888947315269767077546118533585750240725131574372983956988896992300287768646858298164182152878131190004810252059690504416606468453858528401440207945625725466721840100714363177775399451445235912494532315471140950693269661521084633972262469285384606019360473048303970893607849094456315084217930475266092920960971302462968428386533868073434602673503454297134450032828815925547837986505722832324903411262103776960277279763048057489581648634628519425340606729744482125130066826795034029162674390581566038573092934598350428854763746657254539404190800329360397898343998888003527942041807936233350179045585422093129122168674755458111716694613740390463735387087447559680990576525140667885541764977324674261774202819071220841380518533498834697264052101956357947984394496147485743155763394962971686135527890248794540161190129988031846748788829209187217078525357423731021281760673921615294318431501002653342631905341726192353444812135398195139084892709941324666222950868291177373819226746725654551231564698114384933004350796278165816350295325193586135757021322444572793234857785635591531798258407984804698890786152764020956922103584416762763189698058864901831248980695569321660214220610360828559551611576754315167152550257856042105730115068738362564484732726831055006722825823986795060321884578222735574088092794773169772848106079071505700186587026282839326214559808357002947023104550967526558829375048444934737365791966281610816985368294975982876432141350134958288888074543234275474737266991946166874795494960678858097611283100836571997017352079873799684735865053299572404386983539812396043556832403215729119879691730629435953967147433326890428938964069464890231719059625006488540069449262569589601568888534545688260548902999978168198218410489974287707932584526665510503724942698124153258864664705364174850605099121}
15109   429780213122250188166976658149880958861199638005543039030754656: {30214,226515,241616,271818,980915,1040727,1162007,1177098,1311699,1660010,1992012,2006039,2336315,2393427,2549027,2803578,2865770,2957836,3059819,3238115,3438924,3589754,3724019,3885738,4009539,4225480,4313738,4322507,4371170,4506827,4753665,4854794,4868579,5070576,5128220,5245404,5486315,5659125,5704398,6036400,6129827,6152259,6153864,6175010,6302186,6583578,6664034,6685779,6790950,6923097,6935420,7243680,7300172,7410012,7470407,7484439,7626938,7726592,7937147,8149140,8298611,8322504,8414627,8692416,8712194,9353099,9362817,9778968,9904874,10132599,10582259,10659639,10672010,10980424,11001339,11077847,11277596,11711127,11733395,12352977,12806412,13020627,13361570,13505315,14080074,14149820,14240138,14705925,14850146,14892124,15364119,15422459,15587147,15603196,15623427,15686320,15803207,15882519,15934538,16033884,16041928,16046498,16199027,16206378,16849751,16916727,16979784,17045399,17174739,17420865,17449754,17647110,18047169,18079019,18582256,18698519,18823584,18936674,19102257,19414024,19742979,20162459,20384104,20509239,20535395,20739125,20828579,20905038,20971715,21018999,21176532,21465578,21484725,21840777,21900167,21994007,22010027,22290280,22576010,22713395,22802027,22917040,22932117,23226119,24251339,24278332,24311379,24350570,24563127,24642474,24713819,24814659,24826967,24882395,24886950,24928220,25076565,25166058,25202056,25206827,25567959,25781670,25827170,25867345,26000925,26093207,26099546,26546080,26649064,26712170,26748336,26819139,26912445,27027299,27042395,27091212,27155612,27256074,27413738,27453146,27473315,27500448,27734320,27763499,28134407,28198156,28352313,28397147,28561719,28706608,28952339,29152907,29170259,29220684,29552727,29858874,29864340,29913864,29980197,30091878,30152186,30460439,30490499,30907715,30938004,30992604,31032759,31040814,31187786,31201110,31420010,31855296,32038625,32054604,32294934,32340165,32410859,32450874,32773379,32967978,33180170,33281184,33561827,33653097,34214627,34224407,34496176,34552727,34644770,35494727,35837208,36041579,36247624,36634179,36645578,36875127,36953350,37089258,37247738,37272194,37276010,37441332,37455011,37704012,38310657,38446350,38538539,38808198,39060119,39218780,39392915,39485591,39511299,39813395,39816204,40063499,40161404,40192010,40225719,40283080,40316859,40463427,40515866,40778577,40974506,41009440,41086408,41368259,41491715,41573724,41647010,41823386,42098889,42147179,42279765,42859991,43063959,43065239,43581515,43878419,44199287,44237379,44259059,44344020,44461739,44553980,44731212,45098416,45159587,45318465,45423976,45607925,45738506,46054379,46103619,46135620,46222209,46282394,46492115,46568019,47062536,47271498,47300288,47350679,47444999,47678332,47776074,47785559,48020245,48230412,48339696,48496154,48545925,48560315,48892010,48996266,49032458,49211328,49339019,49790058,49794627,49976412,50117725,50580251,50735718,50936727,51101973,51164499,51487970,51599306,51782320,51850019,51994859,52297818,52653256,52790500,52945353,52978899,53130146,53212824,53276834,53405114,53464776,53474327,53494077,53766647,53908619,54105879,54303395,54382158,54497027,54508154,54627299,54729510,54849146,54932186,55142507,55362744,55631879,55790538,55800170,55853546,55946327,56302871,56368379,56796938,56885521,57046859,57233570,57624294,57884939,57897219,57923944,57958115,57969227,58255110,58272378,58378144,58559799,58670412,58766315,58862087,58896674,59227799,59234913,59469047,59649911,59864427,60141270,60147873,60152027,60186489,60698714,60699767,60754359,60780515,60811079,60844547,60904259,60972627,61521770,61673404,61785564,62138784,62172299,62283087,62435699,62779045,62785715,62991479,63143427,63195916,63348600,63516770,63683425,64150688,64220727,64372151,64383395,64659179,64803165,64886507,65078679,65164074,65164437,65219066,65246498,65374091,65506359,65606954,65675412,65791970,66046379,66146259,66327434,66435208,66907139,66960204,67438391,67571840,67778570,67944419,68137799,68280347,68600350,68632977,68680284,68686419,68777579,68937239,68957051,69123376,69280220,69549738,69611018,69706007,69780424,69906132,70103459,70323395,70519578,70658426,70665707,70929736,71267175,71391827,71596750,71670074,71893715,72066885,72135611,72169524,72502076,72510659,72676715,72879674,72936618,73213379,73256027,73468119,73727339,73826124,74088266,74090519,74255786,74278370,74455946,74492499,74739609,74899946,74900739,75334854,75342858,75415000,75440365,75750131,75861539,76018320,76220124,76293020,76302434,76394507,76420110,76570115,76696826,76871344,77146625,77260074,77763798,77834906,77934999,77960819,78502977,78536019,78639059,78735927,78775010,78912554,78950364,79790780,79795953,80145292,80686408,80723127,80920659,80941259,81086208,81265030,81334284,81514784,81577715,81581879,81705925,81905079,82072907,82270499,82309756,82320420,82374899,82520186,82692770,83136264,83292124,83322539,83487515,83587067,83647499,83663427,84386627,84388074,84584618,84732794,84841875,84923644,85080371,85080779,85388315,85404279,85520610,85596627,85643159,85916100,86229239,86257019,86272458,86348819,86480262,86628707,86872970,86970299,87212058,87329111,87378794,87553367,87700907,87745034,87746186,87808448,87946739,87952396,88076027,88145927,88266819,88332765,88465067,88512746,88812659,88817570,88975725,89134044,89367817,89538395,89684350,90160796,90279880,90498000,90528438,90772209,90832919,90902714,90983411,91221984,91266627,91551624,91643840,91704132,91788551,91884138,91898565,92007939,92088467,92167019,92225738,92230216,92575950,92695010,92819351,92929719,93296919,93309191,93455925,93528297,93724220,94195994,94221616,94351970,94387979,94463459,94480106,94530012,94634018,94757315,94795859,94812424,94907440,95340028,95423627,95670554,95748936,96531200,96865418,96921399,97110659,97245047,97340315,97491959,97518036,97747571,97754114,97814019,97893258,98000500,98007479,98025136,98047110,98048426,98481770,98524227,98587511,98625491,98747680,98784504,98841059,99231324,99304346,99329411,99580010,99686320,99725027,...,808309168277795938891427540883551203951094720098740063362879042933045220146217702003275358760035176000226608755279933070145156742998247008587107995778884835509103190926736395343065576161927614642770234683340750473681583953337831347189192732291030734658286301076289104772046859741292644041117483916621702570160001444637804057379410903052297026314132037167863724709587940490812189750337132877801357851924512755701515351398535590643421116314175903401259071760719745064666438954230611160136085385093821692858954238977674406481583089144406101363690741562991297271766868997893282674284651983732597422519991851929753693022770061491378114333654300175432497311942651862656400383691529144397552242870504174920006413669412920672555475291271811371201920277260834300622295786800952484237033865935260314549992709753961521267591026215361446178629683292380512808025813964064405294524810465459275086778957240633688123894614628403283957904515378490764579470231337939062845933377105087900730450648674297109766537881682805035947036373017397409986108864846171359233787475639659309500173422435726712038883565854108754718097457246131133905139684995543006052538921067105813863864458665184004703922722410581644466905394113896124172162891566340610815622259484987187284980516116596746241320768700187557180722353303099565682365603758761627788507358044665112929685402802608477263979192661529980990874351193283962248180703853665059386881586839984042462331718438945582956104700476564974695042347565228820392424575334670204456842540455634923137926416180530926852113190279921766221630601157721569831758968995634206068308752930819179910672467728370887755133727100258114847676028429926097057646477047514122042397677877313072931854381537018694609229471445889017017586264078486535774998640927425762213618960813814438079402148769005753556203400343808056140973486758317816752646310302441406675630434431982393413762512770963647432117457059697559697130808105428674266915449368377119101619413077809337262697472734623368745105833397926579649821055955042147755980491059967977168576188466846611051850766057645700632983022655928222499727326614238477463481710801115429329356469439831732912981153404399429872515978053083194724742443204287638826506255640839247938622863244435853905251952092619853642292079500008651386759265683426119468758518046060917680731870666637557597624547319965716943910112702220680671633256930832204345152886273818899800806798828}
15110   431719460540500295038658649114406877192821529198024931626954016: {45321,211414,286729,302020,362424,407727,513094,557701,934774,1187449,1387636,1415734,1456261,1569464,1748932,1765647,1902841,2436361,2490015,2656016,2702149,2988018,3191236,3319801,3583429,3697295,3738104,4161382,4196041,4205367,4298655,4436754,4517014,4585232,4631461,4694614,4891849,5158386,5180984,5281850,5344582,5346052,5384631,5496901,5583049,5828607,5841061,6286534,6338220,6410275,6470607,6556755,6696421,6760768,6814582,6993872,7107382,7165894,7282191,7545500,7605864,7633414,7692330,7868106,7965961,8203012,8205152,8216374,8332774,8385541,8556597,8669275,8778104,8803321,8914372,9054600,9125215,9136249,9203734,9230796,9262515,9453279,9550789,9607871,9658240,9716101,9875367,9880016,9955654,9963529,9979252,9996051,10186425,10210309,10301782,10403130,10819894,10865520,10950258,11028229,11096672,11115018,11272201,11440407,11589888,11838949,12023782,12223710,12241609,12483756,12879382,13038624,13068291,13280101,13510132,13676281,13725530,14014582,14036687,14096995,14212852,14240854,14619769,14668452,14857311,15614836,15929734,16008015,16209814,16259474,16470636,16601254,16916394,16987271,17075216,17085049,17160901,17360836,17687275,17689849,17836091,17937382,17990521,18215269,18615155,18712534,18773432,18959749,19043782,19098934,19181689,19209618,19476601,19503995,19539574,19550149,19607900,20042355,20052410,20067487,20198614,20208841,20485492,20691382,20831236,20933881,21120111,21176692,21224730,21237382,21360207,21378512,21580261,21608504,21836134,22051799,22275219,22338186,22433029,22541254,22555636,22639712,22714981,22785289,22899652,23227820,23317931,23404794,23529480,23620774,23762041,23901807,23969509,24050826,24062892,24069747,24267530,24309567,24426214,24479782,24656389,25098112,25118282,25228054,25469676,25471141,25480130,25673209,25866934,26174631,26323972,26342089,26408581,26470665,27345652,27658249,27723301,27788281,27862850,27873384,28020707,28025332,28235376,28405011,28434121,28626469,28646300,28765654,29121036,29136229,29262949,29326201,29547814,29578489,29954761,30184154,30204169,30347915,30390469,30576156,30740134,31049782,31160275,31251301,31357557,31502570,31716671,31736869,31764798,32098021,32198367,32415172,32456581,32750836,32856632,33048454,33086212,33107209,33182600,33283141,33311330,33400069,33404614,33435420,33554744,33691129,33807049,33864015,33944515,34090612,34114582,34153081,34165174,34375560,34619782,34667900,34780741,35006821,35247695,35324374,35374582,35664448,35758852,35883260,35899621,35925814,35950607,36121616,36339109,36341432,36375382,36417498,36525855,36574774,36665701,36667264,36881989,36935881,36963711,37330425,37392330,37749087,37803084,37841029,37998601,38082292,38357782,38672505,38725369,38740755,38960912,39045574,39094582,39149319,39235849,39339382,39403636,39461114,39739129,39745979,39811832,39819120,39827782,39885152,39973596,40068255,40087141,40122504,40363174,40557382,40636818,40733418,40772581,40884111,41090134,41110009,41120607,41179719,41250672,41301241,41323472,41377012,41387752,41491321,41538661,41572774,41601480,41774281,42008101,42297234,42424441,42473728,42533254,42739472,42925381,43059912,43120220,43150201,43267832,43373221,43439782,43724854,43831026,43957304,44374912,44576614,44631241,44788311,44796510,44800009,44812294,44870796,45137817,45228279,45309530,45504421,45516934,45797782,45828709,45949129,46071599,46108681,46306501,46407006,46488906,46543894,46561221,46735369,46781679,46801665,46850821,47130015,47268601,47378374,47418361,47419658,47640841,47782944,47824261,48081906,48161734,48328261,48442401,48644809,48676311,48679621,48845572,49023475,49166836,49427269,49441894,49451967,49452344,49714582,49770255,49921776,49941382,50201755,50203141,50272016,50297209,50353850,50390629,50544889,50606089,50683451,50889574,51055909,51080876,51261800,51293782,51358010,51432649,51574309,51658441,51744264,51906949,51967155,52096201,52142854,52409782,52489861,52566649,52642789,52681732,52768249,53088272,53109961,53437561,53596069,53634292,53755812,53951236,53966329,54092041,54235429,54371436,54414601,54511621,54611782,54681721,54791881,54863881,54968367,55264582,55287781,55367161,55429369,55430025,55431632,55524694,55633887,55680901,55692475,55695049,55737061,55792069,55871607,55898629,55908291,55914015,55924549,56025349,56061961,56109769,56131852,56161998,56310649,56331529,56373020,56402341,56478949,56497381,56542201,56556018,56568229,56710789,56779970,56830021,56921209,56935141,56976901,56980681,57023269,57036409,57043429,57051781,57057289,57073669,57075721,57077701,57077989,57418612,57669525,58130807,58212297,58221094,58542107,58643254,58828170,58983172,59105782,59125360,59597915,59641616,59724306,59807231,59983414,60242106,60288015,60424620,60482954,60773799,61057871,61224934,61461759,61471492,61514160,61629612,61758454,62063519,62090692,62360586,62370694,62470515,62735079,62750048,63028664,63241139,63664774,63701432,63825382,64307216,64452928,64727900,64863094,65377894,65456854,65615104,65816570,65988125,66164614,66386744,66392836,66438454,66516030,66635216,66750454,66830970,66983782,67096818,67139014,67262426,67564582,67603174,67647624,67915636,68135964,68219332,68607759,69203430,69285382,69423591,69730424,70002214,70593804,70600607,70638532,70750534,70907247,70950432,71286368,71325436,71517498,71664111,72141172,72345618,72404930,72509544,72629782,72666214,72744231,72848134,72972680,73319254,73338015,73494399,73548687,73816992,73859494,74387384,74685087,74822854,74964618,75106054,75634294,75669382,75879574,76103577,76576054,76832392,77091755,77196292,77231955,77398959,77673480,77696504,77949814,78051814,78079732,78227216,78255382,78424582,78446727,78458374,78862667,78979884,78994895,79185750,79431382,79464694,79695219,79730614,79819236,79915251,80107671,80188360,80197164,80248652,80701439,81005812,81109894,81296836,81434134,81573237,81632419,81724582,81762231,82094265,82173814,82205782,82273719,82380752,82398279,82443914,82556374,82851712,82960871,83044010,83044116,83125894,83440054,83685807,83700255,83780319,83970454,84191236,84372934,84464800,84557782,85017382,85195407,85624582,85627636,85771994,85850355,85895734,86255254,86404220,86436441,86600275,86642134,86701414,86771572,86885432,86885916,87225530,87341812,87382665,87408567,87567216,87582934,87593407,87873574,88005618,88104934,88195012,88345011,88662170,88707382,89161654,89280272,89555782,89583814,90211905,90627595,90664582,91048071,91073782,91324079,91510636,91573712,91581892,91854694,91881382,92173894,92282655,92438134,92510106,92569654,92678346,92732984,93152087,93208176,93298774,93427654,94026104,94192534,94268750,94494454,94744294,94793874,94868614,94943014,95022900,95239174,95275155,95366275,95557414,95703382,96065782,96089180,96226032,96920854,97247782,97248824,97271014,97594582,97746111,97828599,97869747,97957492,98410431,98412214,98434832,98513118,98687955,98813254,99071258,99323332,99491151,99621334,99652812,99738475,99757931,99867652,...,1212463752416693908337141311325326805926642080148110095044318564399567830219326553004913038140052764000339913132919899605217735114497370512880661993668327253263654786390104593014598364242891421964155352025011125710522375930006747020783789098436546101987429451614433657158070289611938966061676225874932553855240002166956706086069116354578445539471198055751795587064381910736218284625505699316702036777886769133552273027097803385965131674471263855101888607641079617596999658431345916740204128077640732539288431358466511609722374633716609152045536112344486945907650303496839924011426977975598896133779987777894630539534155092237067171500481450263148745967913977793984600575537293716596328364305756262380009620504119381008833212936907717056802880415891251450933443680201428726355550798902890471824989064630942281901386539323042169267944524938570769212038720946096607941787215698188912630168435860950532185841921942604925936856773067736146869205347006908594268900065657631851095675973011445664649806822524207553920554559526096114979163297269257038850681213459488964250260133653590068058325348781163132077146185869196700857709527493314509078808381600658720795796687997776007055884083615872466700358091170844186258244337349510916223433389227480780927470774174895119361981153050281335771083529954649348523548405638142441682761037066997669394528104203912715895968788992294971486311526789925943372271055780497589080322380259976063693497577658418374434157050714847462042563521347843230588636863002005306685263810683452384706889624270796390278169785419882649332445901736582354747638453493451309102463129396228769866008701592556331632700590650387172271514042644889145586469715571271183063596516815969609397781572305528041913844207168833525526379396117729803662497961391138643320428441220721657119103223153508630334305100515712084211460230137476725128969465453662110013445651647973590120643769156445471148176185589546339545696212158143011400373174052565678652429119616714005894046209101935053117658750096889869474731583932563221633970736589951965752864282700269916577776149086468550949474533983892333749590989921357716195222566201673143994034704159747599369471730106599144808773967079624792087113664806431458239759383461258871907934294866653780857877928138929780463438119250012977080138898525139179203137777069091376521097805999956336396436820979948575415865169053331021007449885396248306517729329410728349701210198242}
15111   433667388143112851162082291453407205120082745281301284597670085: {60428,317121,377525,453030,483232,543636,769641,1373281,1402161,1734545,1961830,2081454,2123601,2186165,2324014,2354196,2623398,2820521,3270841,3320020,3814481,3984024,3989045,4012078,4357253,4482027,4533361,4672630,4786854,5098054,5441353,5607156,5731540,5915672,6119638,6242073,6476230,6655131,6682565,6775521,6877848,7041921,7179508,7244341,7448038,7680841,7737579,7771476,7782401,7922775,8016873,8019078,8450960,8627476,8645014,8742340,8870929,9013654,9429801,9431875,9507330,9709588,9737158,10141152,10221873,10253765,10256440,10490808,10491941,10661073,10748841,10972630,11142965,11318250,11408796,11450121,11538495,11802159,12072800,12259654,12304518,12307728,12324561,12350020,12474065,12499161,12604372,12659573,13092001,13167156,13328068,13371558,13581900,13710521,13805601,13846194,13870840,14487360,14600344,14820024,14933481,14940814,14968878,15253876,15452673,15453184,15604695,15874294,16229841,16298280,16425387,16426753,16597222,16645008,16672527,16829254,16887665,17384832,17420929,17424388,17766065,18035673,18335565,18706198,18725634,18907441,19319073,19518545,19557936,19809748,20265198,20588295,21021873,21164518,21319278,21344020,21361281,21570329,21701045,21960848,22002678,22155694,22534513,22555192,23422254,23466790,23894601,23914321,24314721,24389211,24504689,24509875,24522761,24705954,24901881,25374591,25606865,25612824,26039045,26041254,26470865,26723140,26906073,27010630,28068801,28160148,28194545,28299640,28480276,28565673,28624565,28648401,28749553,28814427,29034775,29309361,29340961,29360401,29411850,29700292,29784248,30078615,30297921,30728238,30844918,31029793,31037073,31174294,31182001,31206392,31246854,31372640,31606414,31765038,31798753,31837095,31856073,31869076,32067768,32083856,32092996,32398054,32412756,32631941,32754201,32904965,33172553,33507279,33699502,33811881,33833454,33884341,33959568,34090798,34182065,34349478,34834853,34835353,34841730,34899508,35031665,35107191,35294220,35431161,35807875,36076239,36094338,36158038,36214283,36401295,36639321,36719673,37164512,37397038,37647168,37677423,37842081,37859353,37873348,38104121,38204514,38220195,38462641,38800401,38828048,39485958,40324918,40518965,40768208,40835041,40938545,41018478,41070790,41357765,41478250,41657158,41794275,41810076,41943430,41961161,42037998,42353064,42613265,42931156,42969450,43148481,43270801,43334875,43681554,43800334,43884929,43988014,44020054,44265013,44321721,44580560,44698565,44854075,45053881,45065441,45152020,45276231,45426790,45604054,45834080,45864234,46110201,46235113,46452238,46574673,47110601,47253855,47602865,47647197,48502678,48556664,48622758,48701140,49053413,49126254,49254545,49284948,49427638,49572681,49629318,49653934,49764790,49773900,49856440,49890053,49966995,50106921,50153130,50332116,50404112,50413654,51135918,51171873,51195953,51247761,51548321,51563340,51654340,51721265,51734690,51929673,52001850,52186414,52199092,52235521,52986561,53061873,53092160,53298128,53370421,53424340,53496672,53638278,53824890,53888721,53900275,54054598,54084790,54182424,54311224,54512148,54563073,54626247,54827476,54862161,54906292,54946630,55000896,55150081,55468640,55526998,55738753,56088495,56268814,56312201,56396312,56704626,56794294,56798849,57123438,57262601,57371753,57413216,57536673,57904678,58088401,58212209,58305814,58340518,58441368,58568361,58641873,59009073,59105454,59191671,59717748,59728680,59741673,59827728,59960394,60183756,60304372,60544761,60836073,60920878,60955227,60980998,61014121,61056965,61100127,61235521,61458545,61635201,61815430,61876008,61985208,61986629,62002721,62065518,62081628,62359161,62375572,62402220,62840020,62999953,63335081,63445851,63542401,63710592,63799881,63851095,64077250,64109208,64589868,64680330,64821718,64837289,64901748,65088961,65159673,65442521,65546758,65587281,65746539,65852165,65935956,66309401,66360340,66562368,66864921,67042865,67123654,67194765,67218441,67228343,67306194,67439045,67471121,67964295,67984441,68002729,68275401,68429254,68448814,68696673,68992352,69105454,69289540,69295781,69545729,69610509,69733359,69815841,69882649,70164815,70235953,70281601,70466275,70608773,70761701,70989454,71067561,71129487,71423561,71674416,71773265,72083158,72122859,72242601,72495248,72630241,73268358,73291156,73303193,73728965,73750254,73906700,74162841,74178516,74234369,74495476,74544388,74552020,74571873,74882664,74910022,74912073,75169721,75218753,75408024,75458729,75530775,76024753,76313329,76334361,76621314,76839365,76892700,76940673,77037015,77038049,77077078,77613365,77616396,78120238,78157721,78214281,78437560,78614673,78785830,78971182,79022598,79404761,79626790,79632408,80064821,80126998,80237369,80322808,80384020,80451438,80566160,80633718,80909875,80926854,81031732,81141361,81557154,81695009,81917673,81949012,82018880,82172816,82272841,82481249,82736518,82896873,82983430,82991045,83147448,83287041,83294020,83374801,83646772,84197778,84242997,84294358,84559530,84787121,84834027,84894545,85092721,85169955,85274165,85719982,86127918,86130478,86992553,87163030,87331641,87666041,87756838,87890663,87890713,87900001,87964881,88141601,88242255,88298165,88398574,88460741,88474758,88518118,88658673,88688040,88923478,89068921,89093009,89104961,89107960,89156795,89230633,89462424,89586459,89975121,90027641,90136753,90176465,90196832,90319174,90363159,90636930,90724431,90847952,91215850,91477012,91837401,92108758,92207238,92271240,92444418,92564788,92637681,92984230,93136038,93540879,93556041,93912001,94125072,94475369,94542996,94600576,94701358,94889998,95356664,95497161,95552148,95571118,95738073,96040490,96460824,96495365,96679392,96992308,97091850,97120630,97140553,97258129,97294641,97599665,97784020,97992532,98064916,98066841,98185281,98422656,98452753,98678038,98724855,99246921,99580116,99589254,99598313,99657681,99774045,99952824,...,1818695628625040862505711966987990208889963120222165142566477846599351745328989829507369557210079146000509869699379849407826602671746055769320992990502490879895482179585156889521897546364337132946233028037516688565783563895010120531175683647654819152981144177421650485737105434417908449092514338812398830782860003250435059129103674531867668309206797083627693380596572866104327426938258548975053055166830153700328409540646705078947697511706895782652832911461619426395499487647018875110306192116461098808932647037699767414583561950574913728068304168516730418861475455245259886017140466963398344200669981666841945809301232638355600757250722175394723118951870966690976900863305940574894492546458634393570014430756179071513249819405361575585204320623836877176400165520302143089533326198354335707737483596946413422852079808984563253901916787407856153818058081419144911912680823547283368945252653791425798278762882913907388905285159601604220303808020510362891403350098486447776643513959517168496974710233786311330880831839289144172468744945903885558276021820189233446375390200480385102087488023171744698115719278803795051286564291239971763618212572400988081193695031996664010583826125423808700050537136756266279387366506024266374335150083841221171391206161262342679042971729575422003656625294931974022785322608457213662524141555600496504091792156305869073843953183488442457229467290184888915058406583670746383620483570389964095540246366487627561651235576072271193063845282021764845882955294503007960027895716025178577060334436406194585417254678129823973998668852604873532121457680240176963653694694094343154799013052388834497449050885975580758407271063967333718379704573356906774595394775223954414096672358458292062870766310753250288289569094176594705493746942086707964980642661831082485678654834730262945501457650773568126317190345206215087693454198180493165020168477471960385180965653734668206722264278384319509318544318237214517100559761078848517978643679425071008841069313652902579676488125145334804212097375898844832450956104884927948629296424050404874866664223629702826424211800975838500624386484882036574292833849302509715991052056239621399054207595159898717213160950619437188130670497209647187359639075191888307861901442299980671286816892208394670695157178875019465620208347787708768804706665603637064781646708999934504594655231469922863123797753579996531511174828094372459776593994116092524551815297363}
15112   435624034471686274438329160513152496673327632968276859091652408: {75535,90642,166111,422828,437407,573458,604040,679545,724848,815454,888127,1026188,1115402,1869548,2374898,2584447,2775272,2831468,2912522,2942745,3122181,3138928,3466807,3486021,3497864,3531294,3805682,3935097,3992767,4150025,4167511,4872722,4980030,5176213,5209927,5296327,5312032,5404298,5727247,5976036,6018117,6382472,6498367,6639602,7008945,7009207,7164425,7166858,7178911,7180281,7394590,7476208,7601911,7647081,8191087,8274967,8322764,8392082,8410734,8597310,8609767,8873508,8974385,9034028,9170464,9179457,9262922,9389228,9714345,9783698,10102111,10316772,10361968,10563700,10676167,10689164,10692104,10769262,10784345,10927925,10993802,11166098,11172057,11571127,11657214,11682122,12028617,12136985,12296887,12573068,12676440,12775301,12820550,12941214,12967521,13113510,13392842,13493527,13520481,13521536,13629164,13987744,14214764,14260995,14331788,14517511,14564382,14605737,14908111,15091000,15211728,15266828,15384660,15437525,15451927,15736212,15755465,15931922,16406024,16410304,16432748,16452511,16458945,16660085,16665548,16771082,16977375,17062207,17113194,17338550,17556208,17606642,17742607,17828744,18109200,18250430,18272498,18389481,18407468,18456777,18461592,18525030,18715111,18906558,19067345,19101578,19215742,19316480,19432202,19602007,19735793,19750734,19760032,19911308,19927058,19958504,19992102,20057337,20333167,20372850,20405887,20420618,20603564,20769291,20806260,21129127,21639788,21731040,21773887,21780485,21900516,22056458,22193344,22230036,22411221,22453317,22544402,22880814,23179776,23677898,23716121,23811441,24047564,24447420,24483218,24762185,24773911,24895833,24967512,25243881,25654687,25758764,26061217,26077248,26136582,26257327,26560202,26680025,26920087,26985967,27020264,27305593,27352562,27445111,27451060,27640807,27900727,28029164,28059297,28073374,28088451,28193990,28425704,28481708,28545487,29239538,29336904,29714622,30397797,30498487,30745447,30929911,31005161,31113727,31229672,31746777,31859468,31962967,31978917,32016030,32419628,32518948,32620327,32738911,32857207,32941272,33004017,33115381,33202508,33233541,33403925,33502687,33619111,33832788,33974542,34150432,34170098,34321802,34368847,34721672,34880767,35050111,35133381,35200185,35374550,35379698,35498527,35600345,35672182,35874764,35981042,35997487,36052567,36326887,36430538,36436111,36707911,37058931,37125365,37230310,37425068,37546864,37919498,38087564,38144527,38196727,38197868,38363378,38419236,38953202,38971087,39007990,39061881,39079148,39100298,39174847,39215800,39225607,39836345,39928687,40084710,40104820,40116245,40134974,40397228,40417682,40515945,40568911,40908607,40970984,41382764,41387767,41624647,41662472,41867762,42232111,42240222,42353384,42370567,42449460,42474764,42487081,42691111,42720414,42757024,43160522,43217008,43232407,43366111,43624385,43672268,44103598,44117775,44550438,44582767,44676372,44866058,45082508,45111272,45279424,45376207,45417247,45429962,45570578,45799304,46024207,46092357,46183327,46222927,46267377,46455640,46635862,46761441,46809588,46870281,46961647,47058960,47241548,47264911,47341685,47409621,47522321,47524082,47637511,47647557,47803614,47894047,47939018,48101652,48125784,48139494,48254407,48535060,48597081,48619134,48642487,48816007,48852428,48959564,49055911,49312778,49346773,49492087,49980247,50139367,50196224,50202511,50236564,50265367,50421247,50456108,50549253,50605927,50666911,50750181,50818111,50939352,50942282,50960260,51136197,51346418,51404911,51490447,51524217,51733868,51826111,51881047,51908407,52044127,52262595,52349262,52414567,52647944,52684178,52795807,52817162,52849049,52941330,53160847,53231911,53418247,53464111,53622367,53663945,53798911,54013111,54141507,54237057,54360727,54478447,54691304,54834127,54976111,55010887,55096567,55316498,55421287,55446602,55576562,55587607,55660327,55725700,55746768,55867687,56041414,56050664,56095557,56118967,56177287,56341447,56440025,56470752,56621167,56785111,56804767,56810022,56829967,56868242,56887927,56961367,56974111,56986207,57018607,57092047,57092407,57252938,57292600,57306771,57531308,58242072,58272458,58525898,58652402,59095628,59156978,59228937,59909522,60368308,60408338,60487377,60695830,60780938,60876425,61152312,61480268,61527717,61606185,62099564,62217375,62320550,62485737,62502602,62715114,62915145,63005140,63056997,63433342,63473738,63529596,64196042,64396734,64454175,64567925,64777361,64830344,64913162,65248865,65501672,65522331,65700501,65713264,65982021,66030081,66096908,66172424,66214418,66365200,66566282,66622660,66780425,66800138,66809228,66870840,67109488,67382258,67392281,67614098,67728030,67889030,68140185,68181224,68229164,68306162,68330348,68406081,68534345,68632865,68751120,68796351,69239564,69335800,69561482,69678357,70013642,70282457,70495390,70648748,70681273,70749164,71328896,71517704,71766520,71799242,71851628,71901214,72243232,72678218,72682864,72750764,72754017,72834996,72934137,73051710,73149548,73331402,73334528,73689381,73763978,73871762,73927422,73994693,74141457,74443977,74480901,74647185,74660850,74784660,75229695,75380465,75498174,75606168,75620481,75682058,75997202,76164584,76703877,76715564,77345010,77450738,77481510,77602035,77921824,77969465,78002775,78091148,78189164,78279621,78298638,78471698,78550025,78678764,78807272,78922228,79478258,79491958,79623664,79638240,79655564,79770304,79947192,80136510,80174282,80245008,80457417,80726348,80737335,81081897,81114764,81127185,81273636,81466836,81545162,81768222,82180268,82220018,82241214,82359438,82419945,82501344,82602482,82646944,82754024,82775504,82950425,82982642,83077322,83145548,83202960,83290497,83437081,83548562,84016202,84403221,84594468,84848882,84947456,85056939,85066508,85191441,85478944,85685157,85850762,86119824,86240440,86300402,86535664,86611925,86746442,86857017,86879564,87262241,87449708,87458721,87510777,87662052,87914608,88658181,88749824,89153228,89262482,89576622,89593020,89600018,89624588,89741592,89940591,90275634,90456558,90619060,91008842,91033868,91236233,91381317,91471497,91595564,91613945,91657418,91898258,92143198,92217362,92383375,92613002,92723145,92814012,92977812,93087788,93098277,93119345,93122442,93180485,93190025,93470738,93563358,93603330,93701642,94260030,94537202,94756748,94836722,94839316,95281682,95565888,95648522,96115875,96163812,96323468,96474677,96656522,96884802,97020495,97232577,97289618,97352622,97359242,97691144,98046950,98320137,98333672,98854538,98883788,98903934,98904688,99429164,99540510,99843552,99882764,...,2424927504833387816674282622650653611853284160296220190088637128799135660438653106009826076280105528000679826265839799210435470228994741025761323987336654506527309572780209186029196728485782843928310704050022251421044751860013494041567578196873092203974858903228867314316140579223877932123352451749865107710480004333913412172138232709156891078942396111503591174128763821472436569251011398633404073555773538267104546054195606771930263348942527710203777215282159235193999316862691833480408256155281465078576862716933023219444749267433218304091072224688973891815300606993679848022853955951197792267559975555789261079068310184474134343000962900526297491935827955587969201151074587433192656728611512524760019241008238762017666425873815434113605760831782502901866887360402857452711101597805780943649978129261884563802773078646084338535889049877141538424077441892193215883574431396377825260336871721901064371683843885209851873713546135472293738410694013817188537800131315263702191351946022891329299613645048415107841109119052192229958326594538514077701362426918977928500520267307180136116650697562326264154292371738393401715419054986629018157616763201317441591593375995552014111768167231744933400716182341688372516488674699021832446866778454961561854941548349790238723962306100562671542167059909298697047096811276284883365522074133995338789056208407825431791937577984589942972623053579851886744542111560995178160644760519952127386995155316836748868314101429694924085127042695686461177273726004010613370527621366904769413779248541592780556339570839765298664891803473164709495276906986902618204926258792457539732017403185112663265401181300774344543028085289778291172939431142542366127193033631939218795563144611056083827688414337667051052758792235459607324995922782277286640856882441443314238206446307017260668610201031424168422920460274953450257938930907324220026891303295947180241287538312890942296352371179092679091392424316286022800746348105131357304858239233428011788092418203870106235317500193779738949463167865126443267941473179903931505728565400539833155552298172937101898949067967784667499181979842715432390445132403346287988069408319495198738943460213198289617547934159249584174227329612862916479518766922517743815868589733307561715755856277859560926876238500025954160277797050278358406275554138182753042195611999912672792873641959897150831730338106662042014899770792496613035458658821456699402420396484}
15113   437589438237577607338436533776186239402938169288999574979941867: {120856,135963,528535,634242,755050,860187,906060,966464,1087272,1223181,1282735,1539282,1673103,1826011,2336935,2428363,2746562,2804322,3060631,3152347,3333343,3469090,3539335,3562347,3923660,4162908,4247202,4368783,4372330,4508023,4648028,4708392,4808287,4869871,5246796,5296941,5584663,5641042,5708523,5893543,6541682,6640040,6792511,7309083,7470045,7628962,7968048,7978090,8024156,8106447,8714506,8964054,9066722,9197383,9345260,9355591,9573708,9959403,10045687,10196108,10403455,10750287,10882706,11003743,11091885,11214312,11292535,11463080,11726287,11736535,11739211,11831344,12239276,12484146,12588123,12616101,12810103,12895965,12952460,13204625,13310262,13361455,13365130,13532647,13551042,13755696,13894383,14083842,14355271,14359016,14488682,14675547,14697727,14896076,15361682,15475158,15542952,15564802,15600151,15716335,15845550,16033746,16038156,16153893,16203343,16490703,16749147,16901920,17036455,17254952,17290028,17463691,17484680,17485821,17523183,17741858,17768455,17914735,18027308,18859602,18863750,19014660,19083535,19230825,19411821,19419176,19474316,19670265,20089263,20167831,20282304,20397067,20443746,20507530,20512880,20540935,20831935,20981616,20983882,21183343,21322146,21497682,21846573,21945260,22285930,22636500,22817592,22900242,23009335,23076990,23102647,23604318,23642731,23897883,24145600,24519308,24609036,24615456,24649122,24700040,24833611,24872491,24889135,24948130,24998322,25156623,25208744,25213543,25267111,25319146,25492207,25669791,25754455,26007825,26184002,26334312,26409963,26656136,26743116,26785627,27049735,27163800,27325963,27375645,27408747,27421042,27611202,27692388,27741680,27787545,28359837,28409887,28652367,28782343,28823613,28960087,28974720,29148303,29178031,29200688,29383387,29626101,29640048,29866962,29881628,29890587,29937756,29988153,30059455,30381463,30507752,30559275,30630927,30905346,30906368,30911767,31209390,31748588,32198455,32318071,32459682,32596560,32782111,32850774,32853506,33084687,33194444,33290016,33345054,33658508,33775330,33816603,34223743,34313825,34321221,34562011,34769664,34841858,34848776,35036455,35343391,35516847,35532130,35602135,35849611,36071346,36316447,36454663,36498187,36671130,36724827,36873163,37059211,37397383,37412396,37451268,37814882,37860751,38109247,38638146,38933071,39037090,39115872,39204873,39472363,39619496,39824335,39840303,39872191,40074391,40524535,40530396,40648685,41003611,41028843,41176590,41503135,42043746,42110061,42290985,42329036,42383431,42638556,42688040,42722562,43140658,43402090,43859307,43885207,43888543,43921696,44005356,44211211,44311388,44571933,44843455,45032143,45069026,45110384,45811711,46066951,46781335,46844508,46933580,47609455,47747335,47789202,47798347,47828642,47854891,48024045,48629442,48778422,48848935,49009378,49019750,49044331,49045522,49411908,49590463,49803762,50131025,50396551,50496535,50749182,50961813,51213730,51225648,51255147,51482703,51728455,51864007,51883147,52078090,52082508,52436407,52941730,53061825,53069547,53093455,53446280,53508273,53781211,53812146,53971563,54021260,54590335,54645807,54672967,55086631,55759471,55845465,56137602,56320296,56353135,56389090,56599280,56636767,56726551,56879247,56960552,57131346,57249130,57296802,57313963,57319243,57379471,57499106,57545067,57628854,57877231,57900871,58069550,58429803,58448683,58511985,58618722,58650447,58681922,58720802,58823700,59051935,59262271,59384431,59400584,59568496,59658571,60127065,60157230,60202461,60595842,60626523,60668825,60716011,60920743,61065535,61199455,61380187,61456476,61689836,62059586,62074146,62348588,62364002,62412784,62493708,62577991,62745280,62763787,62795705,62801643,62956927,63070135,63212828,63214087,63360333,63530076,63597506,63674190,63700325,63712146,63738152,64080621,64121371,64135536,64167712,64185992,64667335,64740783,64796108,64825512,65010367,65263882,65508402,65809930,66127783,66155397,66345106,66550783,66644011,66825657,67014558,67299087,67399004,67623762,67666908,67673947,67673983,67768682,67803871,67919136,68144943,68156107,68181596,68243671,68355867,68364130,68698956,68796247,68956363,69657125,69669706,69670706,69683460,69799016,69868447,69953793,70063330,70214382,70588440,70786267,70862322,71265343,71286123,71615750,71705421,71908527,71914135,72152478,72188676,72207787,72209241,72316076,72371167,72409771,72428566,72676063,72802590,72928701,73275943,73278642,73439346,73869535,73969167,74110507,74329024,74556427,74794076,75294336,75354846,75460385,75684162,75718706,75725791,75746696,75788047,76208242,76252843,76409028,76413423,76440390,76624711,76625887,76850335,76925282,77019627,77584327,77600802,77624455,77656096,78523893,78660343,78756425,78971916,79026267,79086607,79225743,79411995,79644031,80649836,81037930,81536416,81635947,81650263,81670082,81706207,81877090,82036956,82141580,82190407,82621135,82715530,82956500,82974747,83169903,83278325,83314316,83344927,83364843,83511535,83588550,83620152,83886860,83922322,84062121,84075996,84151387,84409663,84554311,84706128,85049431,85215033,85226530,85286455,85302363,85412935,85479751,85598911,85862312,85879407,85938900,86041963,86296962,86371927,86541602,86549455,86652511,86669750,87352747,87363108,87408687,87493951,87600668,87731527,87769858,87788847,87976028,87978603,88040108,88169611,88310935,88436455,88530026,88643442,88735467,88836943,89161120,89170891,89188591,89391533,89397130,89517583,89688523,89708150,89814535,89864283,89939911,90107762,90130882,90304040,90552462,90612507,90624463,90853580,90857227,90938455,90962047,91043745,91044967,91164607,91171407,91208108,91436935,91668160,91697527,91728468,92113111,92193031,92220402,92470226,92904476,93149346,93358543,93480825,93753903,93860011,94072671,94221202,94360411,94373623,94414663,94507710,94821631,95150013,95205730,95210607,95294394,95560267,95796343,95894455,96127831,96294063,96548647,96595101,97005356,97113328,97136647,97226971,97245516,97369743,97402280,97613935,97699327,97736455,98033707,98106826,98230741,98252508,98348455,98509090,98569896,98652785,98662831,98855276,98867887,99145362,99203551,99258636,99307868,99321627,99529580,99547800,99569455,99712880,99716983,99780106,99849423,99933990,...,3637391257250081725011423933975980417779926240444330285132955693198703490657979659014739114420158292001019739398759698815653205343492111538641985981004981759790964359170313779043795092728674265892466056075033377131567127790020241062351367295309638305962288354843300971474210868835816898185028677624797661565720006500870118258207349063735336618413594167255386761193145732208654853876517097950106110333660307400656819081293410157895395023413791565305665822923238852790998975294037750220612384232922197617865294075399534829167123901149827456136608337033460837722950910490519772034280933926796688401339963333683891618602465276711201514501444350789446237903741933381953801726611881149788985092917268787140028861512358143026499638810723151170408641247673754352800331040604286179066652396708671415474967193892826845704159617969126507803833574815712307636116162838289823825361647094566737890505307582851596557525765827814777810570319203208440607616041020725782806700196972895553287027919034336993949420467572622661761663678578288344937489891807771116552043640378466892750780400960770204174976046343489396231438557607590102573128582479943527236425144801976162387390063993328021167652250847617400101074273512532558774733012048532748670300167682442342782412322524685358085943459150844007313250589863948045570645216914427325048283111200993008183584312611738147687906366976884914458934580369777830116813167341492767240967140779928191080492732975255123302471152144542386127690564043529691765910589006015920055791432050357154120668872812389170834509356259647947997337705209747064242915360480353927307389388188686309598026104777668994898101771951161516814542127934667436759409146713813549190789550447908828193344716916584125741532621506500576579138188353189410987493884173415929961285323662164971357309669460525891002915301547136252634380690412430175386908396360986330040336954943920770361931307469336413444528556768639018637088636474429034201119522157697035957287358850142017682138627305805159352976250290669608424194751797689664901912209769855897258592848100809749733328447259405652848423601951677001248772969764073148585667698605019431982104112479242798108415190319797434426321901238874376261340994419294374719278150383776615723802884599961342573633784416789341390314357750038931240416695575417537609413331207274129563293417999869009189310462939845726247595507159993063022349656188744919553187988232185049103630594726}
15114   439563638322644222955246875444347802626421314448560743690421839: {105749,151070,181284,196313,332222,347093,467573,557849,617993,798233,845656,874814,918233,951363,1132575,1146916,1208080,1247573,1359090,1449696,1456649,1516313,1630908,1776254,1962773,2052376,2230804,2308923,2348249,2437013,2496149,2850293,3320693,3379349,3739096,3905813,4022453,4119843,4197173,4206483,4342553,4690649,4749796,4893173,4904575,5124149,5168894,5203635,5412149,5498393,5550544,5641973,5662936,5810035,5825044,5842649,5885490,5899913,6244362,6277856,6328373,6370803,6558495,6698249,6755033,6933614,6972042,6995728,7062588,7123349,7602953,7611364,7631093,7870194,7985534,8108249,8192213,8300050,8304053,8335022,8387849,8461563,9443033,9745444,9773849,9812523,9856373,9960060,9966293,10030195,10352426,10419854,10459349,10592654,10624064,10808596,11085593,11275349,11443443,11454494,11599733,11681575,11734553,11952072,11967135,12036234,12298613,12564139,12745135,12764944,12885749,12996734,13071759,13279204,13283849,13336793,13446081,13600083,13732853,14017890,14018414,14328850,14333716,14357822,14360562,14519573,14545673,14789180,14936213,14952416,15098083,15203822,15294162,15299095,15454133,15634649,16071413,16190575,16324059,16382174,16454873,16549934,16607753,16645528,16709513,16784164,16821468,16861913,16991779,17089973,17165849,17194620,17219534,17745173,17747016,17948770,18045749,18068056,18340928,18358914,18525844,18620095,18726219,18778456,19428690,19482293,19531349,19567396,19604873,19965393,20047695,20190473,20204222,20263349,20326563,20633544,20699093,20723936,21125763,21127400,21352334,21378328,21384208,21538524,21568690,21612535,21634313,21733023,21855850,21943349,21987604,22057651,22061849,22298249,22332196,22344114,22369013,22534135,22721753,22768649,23042523,23142254,23189273,23212737,23314428,23324119,23347203,23352149,23364244,23699849,23768325,23769173,23815349,23976713,24050619,24057234,24229493,24273970,24342895,24504149,24593774,24800393,25146136,25352880,25456373,25550602,25641100,25681013,25882428,25935042,26083349,26150153,26227020,26350133,26612787,26694283,26785684,26987054,27040962,27043072,27121673,27258328,27431575,27449333,27471113,27666773,27775193,27975488,27991433,28028143,28289403,28295625,28429528,28442933,28485749,28521990,28635353,28663576,29035022,29128764,29187593,29211474,29398553,29816222,29818073,30005813,30068249,30182000,30213653,30423456,30441353,30492679,30533656,30626933,30649135,30665619,30688649,30761295,30769320,30875050,30903854,31200149,31261193,31301849,31472424,31475823,31510930,31565333,31847573,31863844,31983219,32246523,32704649,32812048,32820608,32865496,32905022,32917890,33098249,33157013,33293849,33320170,33331096,33428895,33449753,33542164,33643913,33914393,33954750,34124414,34164149,34226388,34350363,34393493,34615485,34652827,34667059,34677100,34792073,34829849,34961813,35055833,35112416,35213284,35299349,35406477,35448533,35485214,35578649,35657488,35911433,35948249,36076853,36218400,36351113,36500860,36544996,36642463,36713993,36778962,36814936,36913554,36923184,36973683,37050060,37352035,37422195,37430222,37497483,37813116,37958873,37978719,38011349,38046293,38134690,38203156,38272649,38431484,38566613,38632960,38864404,38994713,39045749,39096713,39204014,39249173,39276003,39471586,39501468,39520064,39585653,39685735,39822616,39854116,39917008,39935513,39984204,40100873,40114674,40298249,40666334,40745700,40786649,40811774,40841236,40867349,41131563,41207128,41416803,41493055,41538582,41584649,41612520,41631893,41694773,41788853,42007253,42053849,42073135,42162293,42258254,42698633,42940553,42970649,43015733,43279576,43388633,43462080,43462613,43547774,43560970,43801032,43858649,44047253,44112916,44386688,44460072,44463113,44604953,44647349,44800443,44822442,44858249,44906634,45088804,45233333,45343349,45548249,45683849,45761628,45912533,46045973,46191833,46244633,46358019,46359552,46389173,46765495,46814085,47084693,47286293,47355796,47432242,47436149,47461013,47498249,47535413,47622882,47658773,47805749,47842313,47866649,48048149,48095128,48263573,48581849,48663413,48689523,48698249,48894840,48966436,49076693,49276161,49280259,49413173,49468553,49512713,49524370,49547822,49578713,49791666,49839833,49840483,49893653,49935024,50017581,50064533,50222873,50243849,50317013,50431193,50487762,50585333,50626133,50662995,50676953,50687093,50957849,51105749,51300149,51309374,51517528,51679349,51697973,51928073,51975511,52000649,52027733,52117493,52122434,52154496,52162073,52224149,52262787,52273164,52373273,52425353,52514654,52528649,52613849,52756853,52806773,52881113,52911295,52987349,53120404,53132213,53203673,53298195,53360050,53367893,53437193,53460149,53475413,53483033,53596373,53633753,53663513,53700533,53722649,53795849,53817653,53840174,53971934,53989493,54040528,54094553,54107019,54218249,54451349,54535433,54611186,54624473,54643349,54705124,54718133,54828149,54890222,54902120,54905993,54988313,55006695,55023113,55108853,55131413,55165013,55192793,55281614,55323353,55389235,55392149,55469849,55555733,55658633,55677833,55692149,55706393,55770883,55801454,55817753,55885013,55933193,55971893,56058328,56096213,56118594,56136053,56146748,56147849,56162743,56176902,56291033,56358293,56387980,56435849,56474633,56493811,56539733,56569493,56575349,56595593,56637653,56653973,56722323,56736149,56760149,56787893,56794649,56812313,56827349,56851408,56902133,56918153,56943413,56963416,56963849,56971349,56985749,56989913,57005849,57012149,57040649,57052553,57086933,57090974,57092873,57105749,57107093,57107849,57107993,57957219,58479076,58555635,58666975,58673808,59429244,60795594,60996974,61074139,61490894,61764885,61859822,62010322,62227454,62457967,62459344,63065619,63493554,63718936,63925934,63957834,64032060,64083843,64710987,64839256,65037896,65103135,65240654,65477822,65714414,65882544,66008034,66230762,66278359,66405016,66467082,66807850,67005374,67238222,67526575,67603539,67665576,67949084,68300864,68340196,68643604,68737694,69443344,69761534,70100222,70266762,70400370,70749100,70759396,70997054,71200690,71344364,71683803,71742963,71749528,71962084,71994974,72105134,72398227,72653774,72861076,72872222,72944163,73167633,73415822,73514067,73529625,73568283,74117862,74250730,74460620,74705643,74850136,75093728,75129523,75838996,76123773,76175128,76289054,76393454,76395736,76555063,76726756,76820595,76838472,77112295,77906404,77935735,77942174,78015980,78117135,78123762,78158296,78200596,78349694,78431600,78451214,79016035,79412595,79645423,79672690,79857374,80169420,80209640,80232490,80269948,80718219,80794456,80835364,80995135,81031890,81137822,81817214,81941968,82699951,82765528,82775534,83249294,83324944,83735524,84206403,84248755,84464222,84480444,84583635,84706768,84741134,84898920,84949528,84974162,85226995,85382222,85440828,85514048,85697019,85873695,85945203,86248659,86321044,86434016,86443281,86464814,86732222,87104325,87248770,87344536,87928083,88022883,88081203,88207196,88235550,89100876,89165534,89352744,89732116,90165016,90222544,90235845,90395095,90558848,90752414,90834494,90859924,90893763,91141156,91348411,91598608,92048414,92184714,92366654,92445854,92534754,92911280,93089379,93111219,93271724,93492595,93522882,93546003,93619176,93740562,93923294,94117920,94483096,94529822,94683370,94819242,95044642,95048164,95275022,95295114,95396259,95511285,95568219,95607228,95788094,95878036,95948083,96086011,96203304,96251568,96278988,96508814,97070120,97194162,97238268,97284974,97528387,97632014,97704856,97895823,97919128,98111822,98262603,98625556,98693546,98714895,98984174,99517659,99960494,...,5456086885875122587517135900963970626669889360666495427699433539798055235986969488522108671630237438001529609098139548223479808015238167307962978971507472639686446538755470668565692639093011398838699084112550065697350691685030361593527050942964457458943432532264951457211316303253725347277543016437196492348580009751305177387311023595603004927620391250883080141789718598312982280814775646925159165500490461100985228621940115236843092535120687347958498734384858279186498462941056625330918576349383296426797941113099302243750685851724741184204912505550191256584426365735779658051421400890195032602009945000525837427903697915066802271752166526184169356855612900072930702589917821724683477639375903180710043292268537214539749458216084726755612961871510631529200496560906429268599978595063007123212450790839240268556239426953689761705750362223568461454174244257434735738042470641850106835757961374277394836288648741722166715855478804812660911424061531088674210050295459343329930541878551505490924130701358933992642495517867432517406234837711656674828065460567700339126170601441155306262464069515234094347157836411385153859692873719915290854637717202964243581085095989992031751478376271426100151611410268798838162099518072799123005450251523663514173618483787028037128915188726266010969875884795922068355967825371640987572424666801489512275376468917607221531859550465327371688401870554666745175219751012239150861450711169892286620739099462882684953706728216813579191535846065294537648865883509023880083687148075535731181003309218583756251764034389471921996006557814620596364373040720530890961084082283029464397039157166503492347152657926742275221813191902001155139113720070720323786184325671863242290017075374876188612298932259750864868707282529784116481240826260123894941927985493247457035964504190788836504372952320704378951571035618645263080362594541479495060505432415881155542896961204004620166792835152958527955632954711643551301679283236545553935931038275213026523207940958707739029464375436004412636292127696534497352868314654783845887889272151214624599992670889108479272635402927515501873159454646109722878501547907529147973156168718864197162622785479696151639482851858311564392011491628941562078917225575664923585704326899942013860450676625184012085471536625058396860625043363126306414119996810911194344940126999803513783965694409768589371393260739989594533524484283117379329781982348277573655445892089}
15115   441546673779988745650747331809100485315248944224465303674499964: {226605,241712,271926,498333,739949,1057070,1268484,1312221,1433645,1510100,1720374,1795829,1812120,1932928,2038635,2158013,2174544,2446362,2565470,2664381,2788505,3078564,3271709,3346206,3652022,3725501,4673870,4856726,4955069,5139893,5442797,5493124,5608644,5682521,5937245,6121262,6304694,6586901,6666686,6938180,7078670,7123853,7124694,7281305,7753341,7847320,8027513,8325816,8494404,8737566,8744660,8828235,9016046,9296056,9366543,9416784,9473369,9514205,9616574,9739742,10400421,10458063,10493592,10593882,10738493,11169326,11282084,11417046,11787086,11805291,11978301,12069893,12181805,12298301,12450075,12502533,13083364,13280080,13510745,13585022,13873613,14465933,14564837,14618166,14940090,15257924,15528639,15629781,15809549,15888981,15936096,15956180,16048312,16212894,16431149,16599005,17120309,17181741,17370041,17429012,17917145,17928108,18054351,18133444,18394766,18486475,18690520,18706037,18711182,19147416,19495101,19918806,20091374,20392216,20806910,20980205,21026835,21027621,21088493,21493275,21500574,21536733,21540843,21765412,22002869,22007486,22183770,22428624,22540517,22585070,22805733,22926160,22941243,23157305,23452574,23473070,23478422,23662688,23675501,23851037,24459245,24478552,24573261,24695933,24824901,24875837,24968292,25080629,25176246,25232202,25620206,25791930,25813469,25829301,25904920,26138909,26409250,26499653,26620524,26716949,26722910,26730260,26923155,27065294,27102084,27278621,27484505,27511392,27538371,27788766,27915245,28167684,28710542,28718032,28757309,28977364,29143035,29164709,29205305,29348813,29351094,29395454,29711693,29792152,30306333,30723364,30950316,31085904,31129604,31190309,31200302,31432670,31655741,31691100,31782521,32028501,32051375,32067492,32076312,32168501,32213069,32307786,32353035,32406686,32783775,32981406,33043613,33482105,33498294,33516171,33575321,33803840,33893369,34072910,34509904,34580056,34713381,34725821,34844789,34927382,34969360,34971642,35046366,35483716,35536910,35829470,36054616,36056237,36085851,36120197,36410955,36890661,37547513,37562381,37719204,37727500,37869629,38029320,38087981,38167070,38325903,38368949,38461650,38823642,38838352,38902563,38948632,39340530,39501437,39829805,40178526,40335662,40480581,40561443,40564608,40794134,40846013,40887492,41015060,41025760,41081870,41663870,41927705,41963232,41967764,42083237,42314957,42366686,42644292,42782985,42995364,43134221,43346375,43552533,43693146,43817211,43890520,44016605,44563037,44571860,44724333,44754221,45038201,45077837,45177869,45273000,45626075,45635184,45681245,45800484,46018670,46137773,46153980,46205294,46312575,46355781,46911773,47208636,47266395,47285462,47369717,47753945,47795766,48039355,48291200,48458813,48580505,49038616,49051037,49051901,49218072,49230912,49298244,49357533,49376835,49400080,49667222,49744982,49778270,49817645,49842989,49896260,49969469,49980255,49996644,50313246,50417488,50427086,50534222,50638292,50932125,50984414,51051545,51186621,51339582,51508910,52015650,52249613,52368004,52668624,52819926,53227821,53312272,53399669,53486232,53571254,54099470,54141113,54327600,54651926,54741269,54751290,54817494,54842084,55141145,55168443,55222404,55370331,55384776,55483360,55575090,55754069,55968821,56145333,56325557,56361005,56719674,56734349,56819774,56908159,57202035,57304734,57339941,57564686,57647226,57885017,57920174,57949440,58104389,58296606,58356062,58401376,58766774,58806021,58885709,59194745,59207379,59252202,59280096,59493269,59733924,59763256,59781174,59875512,59976306,60118910,60172011,60251357,60369977,60441293,60762926,60999501,61015504,61118550,61208045,61217661,61261854,61810692,61812736,61823534,62307873,62418780,62733821,62780837,63387381,63479909,63497176,63559613,64129997,64396910,64531781,64636142,64686317,64891373,64919364,65193120,65321661,65341455,65493869,65564222,65701548,65707012,66169374,66297701,66388888,66400505,66580032,66653237,66690108,66846269,66934361,67233663,67317016,67359951,67550660,67633206,67971737,67996973,68307989,68381405,68388509,68447486,68627650,68642442,69124022,69539328,69683716,69697552,69792089,70072910,70183435,70254749,70484975,70541021,70686782,70695149,71033694,71064260,71148363,71204270,71434323,71699222,72142692,72419837,72448109,72540221,72632894,72909326,72996374,73098845,73342260,73449654,73746326,74118422,74286555,74321733,74330837,74403641,74687499,74794766,74824792,74902536,75629764,75721502,75731643,75780797,76218494,76263101,76426469,76831277,76964061,77276292,77829029,77866142,78074180,78183651,78231744,78409746,78771981,78894389,78944726,79230917,79238992,79648670,79649501,79680606,79744382,79769801,79978301,80040075,80148782,80760261,80957901,81049070,81060792,81297370,81916779,82007222,82057686,82303577,82319093,82335333,82353180,82571801,82672709,82922421,83006270,83093909,83702181,84087492,84177891,84220122,84265353,84581970,84658072,84766862,84936355,85277112,85376080,85425245,85445124,85491749,85529561,85636461,85679237,85804505,85912877,86281316,86664413,86804180,87589469,87718614,87770414,87777086,87843392,87913987,87914501,88010712,88112141,88298189,88422422,88436375,88449245,88500569,88622776,89013917,89092853,89143866,89180455,89686910,89952605,90064286,90138052,90220768,90534269,90914909,91076345,91193391,91281773,91495461,91623422,91906709,92133902,92236341,92379293,92388293,92789733,93015483,93075775,93341181,93346637,93562670,93689016,93867160,93937133,94501877,94798745,95218910,95240331,95494670,95578404,95596694,95611661,95657284,95709782,95879333,95888901,95908445,95936751,96048090,96124157,96561881,97166549,97258884,97383005,97519975,97531157,97556844,97559069,97697870,97750745,97787357,97860981,98018756,98039500,98088662,98091044,98216733,98571621,98823816,99012051,99180926,99346143,99607524,99700623,99765209,...,7274782514500163450022847867951960835559852480888660570265911386397406981315959318029478228840316584002039478797519397631306410686984223077283971962009963519581928718340627558087590185457348531784932112150066754263134255580040482124702734590619276611924576709686601942948421737671633796370057355249595323131440013001740236516414698127470673236827188334510773522386291464417309707753034195900212220667320614801313638162586820315790790046827583130611331645846477705581997950588075500441224768465844395235730588150799069658334247802299654912273216674066921675445901820981039544068561867853593376802679926667367783237204930553422403029002888701578892475807483866763907603453223762299577970185834537574280057723024716286052999277621446302340817282495347508705600662081208572358133304793417342830949934387785653691408319235938253015607667149631424615272232325676579647650723294189133475781010615165703193115051531655629555621140638406416881215232082041451565613400393945791106574055838068673987898840935145245323523327357156576689874979783615542233104087280756933785501560801921540408349952092686978792462877115215180205146257164959887054472850289603952324774780127986656042335304501695234800202148547025065117549466024097065497340600335364884685564824645049370716171886918301688014626501179727896091141290433828854650096566222401986016367168625223476295375812733953769828917869160739555660233626334682985534481934281559856382160985465950510246604942304289084772255381128087059383531821178012031840111582864100714308241337745624778341669018712519295895994675410419494128485830720960707854614778776377372619196052209555337989796203543902323033629084255869334873518818293427627098381579100895817656386689433833168251483065243013001153158276376706378821974987768346831859922570647324329942714619338921051782005830603094272505268761380824860350773816792721972660080673909887841540723862614938672826889057113537278037274177272948858068402239044315394071914574717700284035364277254611610318705952500581339216848389503595379329803824419539711794517185696201619499466656894518811305696847203903354002497545939528146297171335397210038863964208224958485596216830380639594868852643802477748752522681988838588749438556300767553231447605769199922685147267568833578682780628715500077862480833391150835075218826662414548259126586835999738018378620925879691452495191014319986126044699312377489839106375976464370098207261189452}
15116   443538583834707200119033060945659347450019874644385826474804163: {211498,302140,362568,392626,407889,648139,664444,694186,935146,1115698,1235986,1546339,1585605,1596466,1691312,1749628,1836466,1887625,1902726,2265150,2293832,2416160,2495146,2580561,2718180,2880139,2899392,2913298,3032626,3261816,3409123,3552508,3669543,3848205,3925546,4104752,4461608,4617846,4696498,4874026,4980523,4992298,5019309,5153683,5478033,5585323,5700586,6357739,6641386,6758698,6784339,6866405,7010805,7124323,7285089,7478192,7632139,7811626,8044906,8134049,8239686,8394346,8412966,8672725,8685106,8890339,9181893,9381298,9457041,9499592,9786346,9809150,10000029,10214563,10248298,10337788,10407270,10460803,10618005,10687041,10824298,10930825,10996786,11032843,11101088,11283946,11325872,11620070,11650088,11685298,11763139,11770980,11799826,12488724,12555712,12656746,12741606,13047043,13106349,13116990,13396498,13510066,13524069,13682083,13867228,13944084,13991456,14042273,14102605,14125176,14233963,14246698,14424861,14547739,14609613,15205906,15222728,15249523,15262186,15636883,15740388,15890823,15971068,16099339,16216498,16354205,16384426,16600100,16608106,16670044,16753989,16775698,16864339,16923126,17125569,17168323,17680629,17843189,18298003,18886066,19072405,19485139,19490888,19547698,19558723,19625046,19712746,19779043,19920120,19932586,19945225,20060390,20075473,20217739,20290603,20377533,20704852,20839708,20918698,21015283,21185308,21248128,21374923,21418733,21617192,21786265,21927249,22171186,22410135,22550698,22666805,22795483,22886886,22908988,23199466,23363150,23469106,23703403,23842003,23904144,23934270,24072468,24319341,24597226,24735883,25128278,25482739,25490270,25529888,25771498,25993468,26068133,26143518,26420683,26558408,26567698,26673586,26818339,26892162,27147739,27200166,27206765,27465706,27475339,27592149,27736123,27801139,28035780,28036828,28066773,28657700,28667432,28715644,28721124,29039146,29091346,29339923,29403139,29578360,29872426,29878209,29904832,30137061,30196166,30257549,30280603,30407644,30588324,30598190,30908266,31013389,31210365,31269298,31547789,31570339,31933003,32142826,32250861,32381150,32648118,32764348,32909746,33011229,33099868,33123163,33124169,33215506,33275655,33291056,33357739,33412825,33419026,33568328,33591163,33642936,33723826,33877605,33983558,34080053,34179946,34331698,34389240,34439068,35178861,35209605,35217633,35490346,35494032,35897540,35917339,36091498,36136112,36221705,36520843,36681856,36717828,36954283,37051688,37061923,37240190,37329763,37452438,37556912,37764369,37807339,37848303,38383123,38404205,38430309,38590339,38687895,38857380,38912005,38964586,39062698,39134792,39209746,39609139,39613875,39930786,40084365,40095390,40380946,40408444,40526698,40597941,40647883,40653126,40890523,40953341,41267088,41398186,41447872,41560339,41683149,42030139,42251526,42254800,42492739,42704668,42756656,42768416,42908789,43065813,43077048,43137380,43225070,43268626,43304729,43466046,43573603,43711700,43881043,43886698,43975208,44026641,44055139,44093181,44115302,44123698,44228083,44354645,44485339,44596498,44664392,44688228,44738026,44866363,45068270,45365323,45443506,45537298,45570163,45692203,46085046,46284508,46378546,46425474,46628856,46648238,46684003,46694406,46704298,46728488,46800453,46915339,47149005,47159375,47399698,47536650,47538346,47630698,47887843,47953426,48069283,48101238,48114468,48391339,48458986,48461679,48547940,48602803,48610029,48685790,48707563,48742339,49008298,49187548,49288963,49422739,49472109,49588339,49600786,50247441,50292272,50358163,50697139,50705760,50912746,50968003,51101204,51109365,51115963,51268825,51282200,51362026,51406483,51605563,51717739,51764856,51870084,52166698,52234843,52292849,52300306,52391073,52454040,52457463,52459705,52548043,52569549,52624723,52700266,52900339,53167243,53225574,53305365,53388566,53494339,53571368,53607739,53744205,53958523,53974108,54081924,54086144,54168403,54243346,54516656,54717763,54863150,54898666,54900283,54918139,54942226,55333546,55357123,55482403,55550386,55560029,55632523,55714825,55733323,55775443,55844203,55937443,55950976,55982866,56056286,56113339,56161003,56340139,56491339,56578806,56583139,56591250,56591923,56667739,56699563,56752483,56841403,56859056,56872363,56885866,56971498,57020323,57024139,57043980,57096139,57103483,57116803,57250605,57270706,57327152,57692475,58070044,58090277,58235463,58257528,58375186,58422948,58797106,58902389,59010795,59632444,59636146,60011626,60136498,60267789,60364000,60427306,60503493,60846912,60882706,60985358,61067312,61191201,61253866,61298270,61331238,61377298,61522590,61538640,61622805,61750100,61807708,62370325,62400298,62495805,62522386,62603698,62944848,62951646,63021860,63130666,63297865,63550029,63695146,63727688,63966438,64493046,65409298,65460005,65471693,65539719,65624096,65641216,65730992,65810044,65835780,66196498,66314026,66587698,66640340,66662192,66765413,66857790,66899506,67084328,67287826,67828786,67909500,68248828,68328298,68452776,68552605,68700726,68786986,69028005,69230970,69305654,69307941,69334118,69354200,69584146,69659698,69923626,70111666,70224832,70426568,70598698,70812954,70897066,70928193,70970428,71157298,71314976,71693649,71822866,71896498,72153706,72436800,72702226,73001720,73089992,73284926,73427986,73557924,73629872,73813961,73827108,73846368,73947366,74075813,74100120,74500833,74617473,74667405,74677933,74704070,74844390,74860444,74994966,75469869,75626232,75640629,75801333,75917746,75957438,76022698,76092586,76269380,76406312,76476621,76545298,76862968,77009373,77133226,77263365,77265920,77544929,77728808,77989426,78023475,78091498,78193426,78408028,78498346,78552006,78943172,79002936,79040128,79171306,79229889,79371470,79645232,79708232,79834016,79871026,79968408,80201746,80229348,80356881,80596498,81149205,81332668,81491400,81573298,81623548,81682472,81734698,81977889,82126935,82133765,82226241,82263126,82414256,82833606,82986110,83077164,83169298,83225040,83263786,83362635,83389546,83577706,84014506,84107698,84146270,84324586,84438325,84516508,85079511,85229661,85397266,85561541,85881106,85941298,85957101,86031466,86347029,86470839,86559152,86777266,86880261,86924160,86925226,87095548,87104645,87121940,87444909,87534093,87602064,87717298,88094506,88150161,88225832,88773376,88830325,88878303,88920144,88926226,89209906,89294698,89600886,89644884,89671761,89716498,89813268,89964459,90177608,90178365,90466666,90686698,91096498,91144389,91367698,91523256,91677825,91825066,91892781,92091946,92383666,92429357,92489266,92716038,92719104,92735301,92778346,93530990,93628170,94126409,94169386,94537205,94572586,94711592,94864484,94872298,94922026,94996498,95070826,95245764,95317546,95611498,95684626,95733298,96096298,96190256,96527146,96595365,96954213,97163698,97326826,97379046,97396498,97592725,97789680,97932872,98153386,98346333,98552322,98560518,98826346,98937106,99025426,99048740,99095644,99157426,99254061,99583332,99679666,99680966,99787306,99870048,...,10912173771750245175034271801927941253339778721332990855398867079596110471973938977044217343260474876003059218196279096446959616030476334615925957943014945279372893077510941337131385278186022797677398168225100131394701383370060723187054101885928914917886865064529902914422632606507450694555086032874392984697160019502610354774622047191206009855240782501766160283579437196625964561629551293850318331000980922201970457243880230473686185070241374695916997468769716558372996925882113250661837152698766592853595882226198604487501371703449482368409825011100382513168852731471559316102842801780390065204019890001051674855807395830133604543504333052368338713711225800145861405179835643449366955278751806361420086584537074429079498916432169453511225923743021263058400993121812858537199957190126014246424901581678480537112478853907379523411500724447136922908348488514869471476084941283700213671515922748554789672577297483444333431710957609625321822848123062177348420100590918686659861083757103010981848261402717867985284991035734865034812469675423313349656130921135400678252341202882310612524928139030468188694315672822770307719385747439830581709275434405928487162170191979984063502956752542852200303222820537597676324199036145598246010900503047327028347236967574056074257830377452532021939751769591844136711935650743281975144849333602979024550752937835214443063719100930654743376803741109333490350439502024478301722901422339784573241478198925765369907413456433627158383071692130589075297731767018047760167374296151071462362006618437167512503528068778943843992013115629241192728746081441061781922168164566058928794078314333006984694305315853484550443626383804002310278227440141440647572368651343726484580034150749752377224597864519501729737414565059568232962481652520247789883855970986494914071929008381577673008745904641408757903142071237290526160725189082958990121010864831762311085793922408009240333585670305917055911265909423287102603358566473091107871862076550426053046415881917415478058928750872008825272584255393068994705736629309567691775778544302429249199985341778216958545270805855031003746318909292219445757003095815058295946312337437728394325245570959392303278965703716623128784022983257883124157834451151329847171408653799884027720901353250368024170943073250116793721250086726252612828239993621822388689880253999607027567931388819537178742786521479979189067048968566234758659563964696555147310891784178}
15117   445539407884640402743965032461968755483236393805838422850525306: {317247,377675,453210,483424,543852,588939,830555,996666,1041279,1402719,1479898,1673547,1853979,2007103,2114140,2187035,2394699,2536968,2550379,2624442,2754699,2854089,2867290,3020200,3397725,3440748,3591658,3624240,3742719,3815999,3865856,3903907,4077270,4316026,4349088,4358987,4369947,4440635,4548939,4809563,4892724,5130940,5328762,5577010,5888319,5895107,6074419,6157128,6543418,6692412,6926769,7044747,7304044,7311039,7451002,7488447,8312143,8419099,8550879,8775899,9347740,9713452,9910138,9962079,10138047,10193827,10279786,10587883,10885594,10986248,11217288,11365042,11717439,11874490,12027347,12067359,12242524,12359529,12591519,12609388,12619449,12922235,13027659,13173802,13319887,13333372,13876360,14071947,14157340,14194979,14247706,14249388,14264419,14562610,14679519,14701643,14713725,15372447,15506682,15610905,15694640,16055026,16236447,16495179,16651632,16925919,16988808,17054527,17334035,17430105,17475132,17489320,17527947,17656470,17699739,18032092,18592112,18733086,18833568,18915043,18946738,18985119,19028410,19112409,19134463,19233148,19479484,19675485,19963835,20094747,20265099,20750125,20800842,20837555,20916126,20987184,21187764,21188987,21370047,21476986,22338652,22558283,22564168,22808859,22834092,22893279,23238607,23574172,23610582,23956602,24139786,24324747,24363610,24514523,24576639,24596602,24900150,24912159,25005066,25084003,25163547,25384689,25881065,26049635,26166728,26481635,26560160,27021490,27170044,27442943,27747226,27792319,28329099,28636235,28931866,29129674,29236332,29321547,29372287,29437569,29569119,29880180,29898879,30090585,30506827,30515848,30920003,31057278,31259562,31378047,31619098,31777962,31872192,31912360,32096624,32420227,32425788,32491835,32862298,33198010,33256779,33335963,33826047,33974419,34240618,34242943,34330329,34363482,34740082,34799199,34858024,35044725,35046035,35113819,35203659,35822125,35834290,35856216,35894555,35901405,36108702,36266888,36326123,36789532,36895839,36972950,37152863,37217227,37381040,37407347,37412074,37422364,37692417,37870883,38009555,38235405,38294832,38478307,38657247,38990202,39081343,39085343,39215277,39379099,39837612,39851547,40010379,40182748,40338243,40784432,40800249,40887427,40955435,41198559,41374835,41613820,41960410,42053670,42055242,42176986,42882943,42940799,42986550,43001148,43048835,43073466,43081686,43530824,43558719,43637019,44005738,44014972,44367540,44808639,44857248,44871925,45081034,45170140,45294249,45611466,45852320,45882486,45897285,46314610,46362399,46874947,46903947,46905148,46946140,46956844,47129507,47325376,47351002,47702074,47742299,47840719,48214239,48571725,48918490,48957104,48972177,49146522,49364619,49391866,49649802,49751674,49823259,49936584,50128539,50161258,50352492,50464404,50510555,50585739,50975337,51240412,51269919,51497547,51583860,51626938,51658602,51809840,52277818,52818500,52999306,53235519,53241048,53380835,53392027,53433898,53445820,53460520,53773987,53846310,53921725,54130588,54137247,54204168,54526459,54557242,54639625,54969010,55022784,55076742,55577532,55761727,55830490,55860285,56178657,56335103,56335368,56821643,57285899,57421084,57436064,57514618,57855635,57954728,58235903,58286070,58329418,58410610,58446879,58594047,58697626,58698787,58702188,58790908,58814619,58888187,59054827,59400323,59423386,59584304,59681983,59896179,60143085,60571419,60612666,60684925,60790047,60979689,61446728,61484435,61623247,61900632,62027999,62097279,62171808,62259208,62380618,62400604,62865340,62974043,63311482,63377289,63382200,63565042,63876505,63953743,64057002,64102750,64134984,64152624,64337002,64406623,64426138,64551419,64615572,64694227,64695019,64706070,64813372,64837605,64849067,64902939,65199069,65567550,65669003,65830047,65962812,66087226,66172953,66185547,66719299,66855523,66894747,66964210,66996588,67032342,67107039,67150642,67255097,67258687,67467635,67498307,67602405,67607680,67786738,67822163,68012707,68145820,68165259,68305947,69019808,69127569,69160112,69426762,69451642,69567819,69638211,69689578,69744703,69854764,69938720,69943284,69972357,70041609,70056447,70092732,70310227,70967432,71057843,71073820,71099547,71304975,71307519,71430619,71446047,71472163,71658940,71930139,72109232,72112474,72151857,72171702,72240394,72390923,72587555,72659443,72688479,72821910,73028685,73512447,73781322,74401179,74540555,75095026,75124762,75200543,75405919,75438408,75455000,75739258,76058640,76175962,76334140,76344223,76369119,76651806,76737898,76923300,77043039,77069663,77187625,77197603,77259635,77620607,77647284,77676704,77805126,77897264,78002923,78250047,78450459,78602219,78681060,78777325,78905407,79002874,79050399,79436627,79659610,79665587,79838361,80082849,80357052,80360059,80671324,80961162,81122886,81129216,81365019,81588268,81625567,81692026,81774984,82030120,82051520,82163740,82262555,82294725,82347999,82413339,82514483,82872643,83000319,83300425,83325579,83327740,83408323,83855410,83912363,83926464,83935528,83974299,84084429,84166474,84629914,84733372,84821147,84868209,84886875,85072283,85288584,85311035,85328799,85457247,85565970,85688639,85691263,85906059,85990728,86268442,86687707,86692750,87027947,87105066,87386292,87562779,87634422,87781040,88033210,88195659,88496747,88713035,89126074,89128763,89141723,89143720,89448666,89454219,89508442,89541539,89712719,89964323,90017439,90064799,90076402,90155674,90204747,90355738,90546000,90640959,90987083,91252150,91270368,91324059,91362490,91478037,91600968,91837903,91880799,91947405,91979423,91996857,92037340,92065947,92275546,92283885,92307960,92410588,92625150,92711562,92869663,92960707,93575555,93600447,93749183,93783579,93823546,93905547,94385663,94417272,94427469,94513283,94532790,94570924,94695999,94739434,95336725,95507890,95542719,95591532,95733967,95736419,95822387,95949657,96078710,96582400,96739569,96895039,96917626,97161010,98010035,98077232,98102074,98103802,98113947,98256809,98336843,98436144,98461824,98596488,98678965,98715066,98753670,98800160,99294747,99334444,99382603,99471039,99489964,99556540,99635290,99685978,99792520,99881547,99938938,99960510,99993288,...,16368260657625367762551407702891911880009668081999486283098300619394165707960908465566326014890712314004588827294418644670439424045714501923888936914522417919059339616266412005697077917279034196516097252337650197092052075055091084780581152828893372376830297596794854371633948909761176041832629049311589477045740029253915532161933070786809014782861173752649240425369155794938946842444326940775477496501471383302955685865820345710529277605362062043875496203154574837559495388823169875992755729048149889280393823339297906731252057555174223552614737516650573769753279097207338974154264202670585097806029835001577512283711093745200406815256499578552508070566838700218792107769753465174050432918127709542130129876805611643619248374648254180266838885614531894587601489682719287805799935785189021369637352372517720805668718280861069285117251086670705384362522732772304207214127411925550320507273884122832184508865946225166500147566436414437982734272184593266022630150886378029989791625635654516472772392104076801977927486553602297552218704513134970024484196381703101017378511804323465918787392208545702283041473509234155461579078621159745872563913151608892730743255287969976095254435128814278300454834230806396514486298554218397369016350754570990542520855451361084111386745566178798032909627654387766205067903476114922962717274000404468536826129406752821664595578651395982115065205611664000235525659253036717452584352133509676859862217298388648054861120184650440737574607538195883612946597650527071640251061444226607193543009927655751268755292103168415765988019673443861789093119122161592672883252246849088393191117471499510477041457973780226825665439575706003465417341160212160971358552977015589726870051226124628565836896796779252594606121847589352349443722478780371684825783956479742371107893512572366509513118856962113136854713106855935789241087783624438485181516297247643466628690883612013860500378505458875583866898864134930653905037849709636661807793114825639079569623822876123217088393126308013237908876383089603492058604943964351537663667816453643873799978012667325437817906208782546505619478363938329168635504643722587443919468506156592591487868356439088454918448555574934693176034474886824686236751676726994770757112980699826041581352029875552036256414609875175190581875130089378919242359990432733583034820380999410541351897083229305768114179782219968783600573452849352137989345947044832720966337676267}
15118   447549185501128609189779059288358365828251086673854961356283266: {166177,256717,422996,604280,618157,679815,725136,785252,815778,1296278,1328888,1388372,1494999,1516717,1870292,2219847,2230381,2231396,2471972,2496817,2642675,2674081,3092678,3171210,3192932,3380257,3382624,3499256,3556081,3672932,3731617,3775250,3805452,3936663,4300935,4530300,4587664,4832320,4990292,5125537,5161122,5298481,5387487,5436360,5760278,5798784,5826596,5901517,6065252,6115905,6158881,6413675,6474039,6523632,6586381,6756877,6818246,7012081,7105016,7181857,7339086,7696410,7851092,7993143,8110477,8209504,8278381,8365515,8696881,8923216,9130055,9235692,9392996,9612967,9748052,9815127,9961046,9984596,10038618,10307366,10956066,11170646,11176503,11401172,11413837,11684675,12141815,12715478,12942577,13282772,13340557,13517396,13568678,13732810,14021610,14248646,14523697,14570178,14865207,14914477,14956384,15264278,15303155,15419679,15535981,15623252,15761735,16076017,16089812,16268098,16328391,16479372,16536097,16666715,16788692,16825932,16917517,17047563,17345450,17370212,17448481,17674957,17696675,17780678,17811735,17825581,18200881,18363786,18723277,18762596,18797617,18914082,18999184,19315981,19537057,19572692,19618300,19684081,19743647,19760703,20000058,20414881,20429126,20496596,20675576,20814540,20921606,21236010,21371559,21374082,21648596,21843915,21854881,21861650,21993572,22065686,22202176,22422817,22540115,22567892,22651744,22775437,22895887,23056237,23240140,23260023,23300176,23370596,23526278,23541960,23599652,23725559,23822497,24041435,24082539,24349355,24853357,24977448,24989581,25111424,25125517,25313492,25464097,25483212,26094086,26202637,26212698,26233980,26484705,26701367,26792996,26998381,27020132,27048138,27129997,27364166,27457777,27734456,27888168,27923315,27982912,28084546,28099629,28205210,28250352,28420107,28467926,28493396,28494577,28542615,28849722,29095478,29219226,29449837,29467715,29575981,30411812,30445456,30499046,30500771,30524372,31005937,31128481,31201263,31273766,31311757,31374189,31480776,31733527,31781646,31942136,32038381,32198678,32215479,32338081,32432996,32457457,32708410,32754637,32768852,33200200,33216212,33340088,33507978,33551396,33728678,33846252,33925357,33962555,34251138,34336646,34385581,34662023,34841197,35236081,35361258,35415873,35686378,35934903,35960077,36070381,36209679,36344881,36454177,36545415,36596006,36652187,36894903,37350225,37507599,37584397,37772132,38059057,38089471,38144810,38215981,38320237,38579617,38970278,38981776,39095396,39117446,39245581,39250092,39425492,39558086,39840240,39865172,39890450,40120780,40150946,40344877,40435478,40532235,40581206,40755066,40978081,41409704,41620839,41679416,41837396,41948159,42021937,42030566,42370616,42392881,42496256,42749846,42759217,42837466,42985837,43234384,43397799,43572530,43694511,43854498,44091937,44342372,44479117,44818381,44820270,45101396,45111457,45333610,45442081,45590966,45773772,45817976,45986915,46049581,46248481,46327537,46398932,46585917,46726300,46757197,46777955,46889343,46938212,47215981,47406806,47428647,47478817,47666943,47684006,47808288,47868540,47884717,47917067,48144936,48399403,48638682,48913057,49194452,49293447,49454497,49471766,49619917,49797015,49913137,50228435,50256556,50263597,50420017,50710387,50788081,50848417,50965478,50980540,50997997,51059776,51360927,51521581,51542996,51545223,51718897,51857677,51940081,51986936,52017275,52110123,52136266,52263217,52287036,52472881,52652557,52841366,53025697,53116816,53135396,53347172,53452081,53498017,53520877,53636678,53751435,53765887,53784324,53833357,54068977,54163053,54255277,54295478,54316081,54376237,54400332,54413530,54476807,54648397,54931412,54950678,54977581,55018715,55184298,55443277,55459425,55472246,55474381,55520497,55550881,55580977,55602278,55906381,55997857,56061037,56071560,56073656,56118111,56133546,56181997,56381581,56462675,56602657,56702881,56763937,56792737,56827117,56908081,56935981,57017377,57137581,57138157,57138481,57315400,57334864,57431288,57442248,58078292,58182692,58485303,58631435,58679846,58682675,58696055,58806278,59156720,59744852,59756418,59809664,60274122,60392332,60515098,60561206,60815288,61176648,61196380,61816532,62026778,62096503,62420730,62538596,62940615,63080505,63082863,63095578,63140678,63265479,63866006,64050515,64285652,64479825,64501722,64610199,64622529,64762300,65296236,65528696,65819492,66008607,66022458,66023125,66199736,66246326,66248338,66431012,66551310,66582112,66715478,66807275,66825650,66838052,67136656,67182326,67285872,67447652,67621551,67663235,67755210,67967116,68160106,68359892,68417199,68663396,68778480,68823729,68878136,69471915,70357722,70419210,70435266,70980692,70988064,71026503,71553111,71776355,71795080,71834678,72182996,72272224,72443410,73041686,73363712,73377735,73435656,73443587,73488635,73719783,73908566,74087799,74103376,74123846,74474703,74480380,74627511,74659526,74904876,75113824,75241887,75528738,75614678,75696606,76766246,76808410,76860618,77180678,77375790,77440407,77487903,77714760,77824010,77929172,78000755,78125396,78269584,78320759,78416727,78419492,78581675,78904579,79218278,79227750,79498959,79861572,80150847,80168730,80190780,80761892,80769465,80816888,81016715,81053396,81195882,81295766,81306252,81675803,81781046,81835863,81906682,82453515,82534176,82615113,82796372,82895744,83120678,83366298,83745735,84060278,84503052,84509600,84985478,85182275,85409336,85513312,85536832,85817578,86131626,86154096,86271927,86274760,86450140,86537252,86609458,86932092,87147206,87318455,87423400,87429105,87494127,87615915,87639959,87762086,87773396,87950416,88046439,88053282,88110278,88186362,88230604,88247396,88255739,88456166,88617011,88709290,88842275,88970678,89135079,89192996,89328784,89376456,89476052,89573675,89732726,90136540,90730646,90887012,90918999,91074596,91140326,91384406,91644007,92170092,92569016,92757092,92850948,93257712,93296476,93368006,93388812,93408596,93456976,93570927,93600906,93830678,94298010,94318750,94799396,94967223,95073300,95076692,95261396,95347563,95417675,95775686,95906852,95973647,96085503,96138566,96154125,96202476,96228936,96505503,96639207,96782678,96917972,96923358,97059105,97095880,97205606,97220058,97371580,97415126,97484678,98016596,98351325,98375096,98577926,98845478,98944218,99130839,99176678,99201572,...,21824347543500490350068543603855882506679557442665981710797734159192220943947877954088434686520949752006118436392558192893919232060952669231851915886029890558745786155021882674262770556372045595354796336450200262789402766740121446374108203771857829835773730129059805828845265213014901389110172065748785969394320039005220709549244094382412019710481565003532320567158874393251929123259102587700636662001961844403940914487760460947372370140482749391833994937539433116745993851764226501323674305397533185707191764452397208975002743406898964736819650022200765026337705462943118632205685603560780130408039780002103349711614791660267209087008666104736677427422451600291722810359671286898733910557503612722840173169074148858158997832864338907022451847486042526116801986243625717074399914380252028492849803163356961074224957707814759046823001448894273845816696977029738942952169882567400427343031845497109579345154594966888666863421915219250643645696246124354696840201181837373319722167514206021963696522805435735970569982071469730069624939350846626699312261842270801356504682405764621225049856278060936377388631345645540615438771494879661163418550868811856974324340383959968127005913505085704400606445641075195352648398072291196492021801006094654056694473935148112148515660754905064043879503539183688273423871301486563950289698667205958049101505875670428886127438201861309486753607482218666980700879004048956603445802844679569146482956397851530739814826912867254316766143384261178150595463534036095520334748592302142924724013236874335025007056137557887687984026231258482385457492162882123563844336329132117857588156628666013969388610631706969100887252767608004620556454880282881295144737302687452969160068301499504754449195729039003459474829130119136465924963305040495579767711941972989828143858016763155346017491809282817515806284142474581052321450378165917980242021729663524622171587844816018480667171340611834111822531818846574205206717132946182215743724153100852106092831763834830956117857501744017650545168510786137989411473258619135383551557088604858498399970683556433917090541611710062007492637818584438891514006191630116591892624674875456788650491141918784606557931407433246257568045966515766248315668902302659694342817307599768055441802706500736048341886146500233587442500173452505225656479987243644777379760507999214055135862777639074357485573042959958378134097937132469517319127929393110294621783568356}
15119   449567956429769432222339309949393470391275426521239634840580877: {528745,634494,755350,906420,966848,981565,1087704,1162777,1177878,1223667,1661110,1735465,1944417,1993332,2082558,2337865,2789245,2805438,2822017,2959796,3061849,3089965,3347094,3707958,3991165,4014206,4228280,4374070,4509817,4591165,4639017,4756815,4789398,4871809,5073936,5100758,5141257,5248884,5509398,5662875,5684029,5708178,5734580,6040400,6216889,6237865,6588649,6795450,6881496,7183316,7248480,7283245,7430989,7485438,7581565,7631998,7731712,7741683,7786537,7807814,7973617,8154540,8632052,8640417,8698176,8717974,8739894,8881270,9097878,9619126,9785448,9813865,10227369,10261880,10371517,10497517,10657524,11008629,11154020,11544615,11741245,11776638,11790214,12148838,12185065,12314256,12480745,12666301,13086836,13384824,13442329,13853538,14089494,14251465,14608088,14622078,14887417,14902004,14941569,14976894,15057927,15461049,16151869,16434099,16603465,16624286,16755969,16838198,16896745,17101758,17374669,17551798,18091129,18142417,18695480,19073217,19426904,19529065,19820276,19924158,20112265,20276094,20353017,20387654,20559572,20599215,20985865,21032415,21175766,21372969,21712765,21771188,21855267,21972496,22434576,22714669,22730084,22887601,22896417,23434878,23453245,23681809,23748980,24054694,24134718,24267649,24402147,24465865,24485048,24522875,24719058,24843577,25183038,25218776,25238898,25620745,25718041,25820377,25844470,26018175,26055318,26347604,26639774,26659789,26666744,26671017,27060745,27285889,27491965,27545679,27752720,27949369,28143894,28209865,28314680,28371123,28389958,28495412,28498776,28528838,28659817,28964737,28971709,29050175,29125220,29172577,29213245,29359038,29395201,29403286,29427450,29499565,30000087,30643689,30744894,31013364,31221810,31382409,31389280,31641865,31790989,31854015,32061123,32110052,32432569,32472894,32792475,32990358,33052417,33098529,33303264,33491245,33775165,33851838,33977616,34109054,34575937,34668070,34860210,34950264,34978640,35055894,35289417,35312940,35399478,35616745,36064184,36233491,36469489,37074289,37184224,37257841,37466172,37480201,37557517,37667136,37830086,37893476,37970238,38014765,38056820,38098129,38155465,38224818,38268926,38379217,38466296,38940817,38958968,39090601,39141129,39319047,39350970,39412417,39927670,40090729,40189494,40530198,40541245,40572207,40961065,41046249,41395969,41500250,41520265,41601684,41631049,41675110,41832252,41939245,41974368,41983777,42126819,42171517,42307815,42326281,42375528,42377974,42701889,42740094,42953972,43274583,43643217,43724449,43828839,43906189,43907929,44677304,45116566,45128336,45190057,45410689,45488569,45617718,45668184,45748569,45786558,45830257,46191769,46477214,46492249,46910649,47148344,47215165,47221164,47672469,47817529,47913204,48279572,48298017,48649494,48727220,48869245,49029046,49062615,49064449,49153278,49193204,49281865,49800300,49824318,49831465,50010132,50150975,50168006,50252377,50261967,50327094,50593017,50620537,50748217,50769378,51223369,51376707,51504969,51762130,52099270,52296745,52333456,52963270,53041887,53120320,53213377,53414017,53529567,53944729,54042980,54340088,54756097,54885886,54894009,55427965,55494452,55584638,56376745,56406289,56422717,56658198,56659801,57217215,57272470,57337609,57342289,57863732,57924769,57998665,58259348,58407875,58455417,58472664,58643094,58672765,58676169,58744574,58875138,58896109,59138238,59337129,59378617,59509417,59760360,59797758,59835675,60181170,60226419,60267481,60268369,60653217,60740377,60871809,61013654,61031696,61132599,61493065,61840006,62114556,62519124,62585389,62673889,62756094,62820695,63045849,63238196,63369217,63496897,63555924,63725675,63744384,63824720,64124769,64193248,64256199,64428745,64840454,64851576,64983670,65358795,65417881,65724596,65781747,65816209,65910217,66130801,66396020,66419245,66513558,66577849,66671926,66683965,66896461,67230405,67652094,67701517,67948838,68000415,68183569,68326417,68386449,68481236,68485886,68660658,68664265,68726964,68824249,68872369,69003241,69480164,69598398,69716048,70089450,70092070,70227638,70407318,70714777,70799917,70836601,71110209,71526009,71644250,71668580,71712432,71789110,71802810,72217404,72272089,72464929,72467497,72478369,72533776,72597865,72652246,72728365,72958023,73305817,73579064,73791678,73945900,74207649,74305726,74423869,74434454,74681065,74733169,74762080,74814694,74824148,74844728,75384834,75490415,75741766,75801241,76019110,76448217,76470810,76495475,76589664,76955629,76956614,77080201,77270665,77314494,77631049,77849857,77980404,78162686,78170686,78173245,78204399,78304489,78324697,78430554,78758198,79262049,79675224,79703094,80020758,80280337,80357065,80365496,80455017,80676486,80952875,80997889,81266701,81443217,81568864,81600498,81620295,81774854,81910870,82274365,82397118,82426017,82749670,82776447,83038765,83116417,83208369,83227640,83242609,83378509,83403417,83547565,83920820,83961121,84107340,84110484,84200319,84309565,84353972,84958895,85137361,85449865,85552909,85765886,85829245,85881598,85935961,85973100,86002296,86078209,86097670,86146932,86163372,86406589,87061648,87117438,87274038,87529549,87613537,88005649,88011476,88019769,88029944,88205137,88209417,88725865,88735080,88873369,89038009,89153977,89427107,89617278,89634627,89714496,89743850,90162068,90228745,90340280,90411183,90588498,90772647,90841809,90893689,90939337,91044601,91082329,91201261,91222932,91306897,91704640,91734649,91764972,91794570,92150077,92629220,92724798,93040167,93100475,93631095,93749894,93807894,93810296,93892280,93913688,94259014,94454689,94643367,94650752,94702004,94711017,94860289,95404148,95484598,95681438,95799009,96144889,96149881,96417817,96428478,96752583,97143450,97175629,97266529,97297069,97411465,97585177,97656745,97836980,97914208,97944354,98024365,98073049,98293044,98655601,98729238,98783732,98908129,99033687,99299604,99369489,99372507,99503348,99646518,99651649,99826965,99873168,...,32736521315250735525102815405783823760019336163998972566196601238788331415921816931132652029781424628009177654588837289340878848091429003847777873829044835838118679232532824011394155834558068393032194504675300394184104150110182169561162305657786744753660595193589708743267897819522352083665258098623178954091480058507831064323866141573618029565722347505298480850738311589877893684888653881550954993002942766605911371731640691421058555210724124087750992406309149675118990777646339751985511458096299778560787646678595813462504115110348447105229475033301147539506558194414677948308528405341170195612059670003155024567422187490400813630512999157105016141133677400437584215539506930348100865836255419084260259753611223287238496749296508360533677771229063789175202979365438575611599871570378042739274704745035441611337436561722138570234502173341410768725045465544608414428254823851100641014547768245664369017731892450333000295132872828875965468544369186532045260301772756059979583251271309032945544784208153603955854973107204595104437409026269940048968392763406202034757023608646931837574784417091404566082947018468310923158157242319491745127826303217785461486510575939952190508870257628556600909668461612793028972597108436794738032701509141981085041710902722168222773491132357596065819255308775532410135806952229845925434548000808937073652258813505643329191157302791964230130411223328000471051318506073434905168704267019353719724434596777296109722240369300881475149215076391767225893195301054143280502122888453214387086019855311502537510584206336831531976039346887723578186238244323185345766504493698176786382234942999020954082915947560453651330879151412006930834682320424321942717105954031179453740102452249257131673793593558505189212243695178704698887444957560743369651567912959484742215787025144733019026237713924226273709426213711871578482175567248876970363032594495286933257381767224027721000757010917751167733797728269861307810075699419273323615586229651278159139247645752246434176786252616026475817752766179206984117209887928703075327335632907287747599956025334650875635812417565093011238956727876658337271009287445174887838937012313185182975736712878176909836897111149869386352068949773649372473503353453989541514225961399652083162704059751104072512829219750350381163750260178757838484719980865467166069640761998821082703794166458611536228359564439937567201146905698704275978691894089665441932675352534}
15120   451595760591179043818417446910975059483825317279862864379007020: {196391,286919,332354,437639,513434,558071,648311,708431,845992,888599,951741,1008551,1133025,1208560,1236314,1337759,1359630,1450272,1546751,1570504,1606391,1631556,1766817,2052671,2260319,2437991,2491665,2585831,2592556,2657776,2703959,2776744,2851439,2939831,2989998,3033434,3123837,3322031,3410039,3468671,3585839,3699745,3732119,3740584,3994919,4111511,4208157,4344311,4439694,4460762,4462792,4547591,4943944,4981871,4993634,5020641,5155079,5212751,5285350,5348162,5414351,5500631,5561937,5586839,5644271,5730359,5845031,6021309,6185356,6188279,6342420,6385864,6561105,6760514,6765248,6786191,6842951,6998512,7112162,7126271,7168225,7182839,7184097,7295879,7345864,7463234,7550500,7610904,7651137,7873326,8111591,8195591,8264097,8279519,8307479,8391311,8530871,8562267,8601870,8725919,8948351,8979145,9060600,9142559,9175328,9281039,9529799,9664640,9722831,9860471,9980584,10107719,10193175,10217399,10251074,10322244,10354319,10545671,10596962,10774974,10790065,10791119,10872720,11090231,11228157,11415431,11447997,11520556,11597568,11653192,11711721,11803034,11820311,11981759,12130504,12231810,12317762,12491111,12782077,12827350,12948078,13047264,13076961,13109841,13172762,13321905,13421831,13513754,13636492,13646817,13685951,13738679,13817711,13942525,14024162,14210032,14290391,14363714,14428689,14551871,14630159,14678172,14760479,14942591,15020519,15253871,15305639,15392820,15538199,15702184,15718631,15986286,16103951,16220954,16358545,16419008,16538471,16556762,16731030,16869191,16919951,16998541,17173271,17393762,17664957,17685321,17702639,17828159,17846432,17853239,18223257,18228479,18260110,18471384,18627505,18725999,18785992,19195679,19225934,19318799,19490831,19496104,19539911,19564439,19613471,19630254,19686959,19833719,19922092,19969192,20077236,20077679,20272271,20345111,20614732,20708231,20780307,20949311,21069551,21134241,21237551,21424417,21429071,21596231,21715391,21881879,21912132,21933117,22066429,22308191,22341292,22353006,22378991,22449719,22465341,22802279,22802344,22827674,22919399,23059679,23083031,23333401,23369350,23432351,23779871,23849159,24102599,24240431,24283630,24674999,24775345,24788879,24879839,24936429,25129319,25257297,25430956,25490471,25652637,25670279,25699465,25885154,25939031,26162111,26228879,26327697,26362199,26428751,26539511,26565544,26681114,27034792,27137356,27156071,27199871,27213985,27461999,27465620,27483791,27744671,27788039,27917951,28004399,28039297,28043220,28198439,28412605,28456151,28497292,28563191,28648679,29047394,29137751,29140356,29454431,29601599,29686225,29730414,29828954,29886237,29894759,29912768,30082391,30290111,30331559,30414141,30517679,30528556,30581481,30606310,30703151,30764831,30839358,31071962,31214951,31246504,31276031,31523470,31556161,31763649,31862759,31983311,32063519,32152034,32179624,32343239,32482511,32536196,32641199,32656782,32720351,32878271,32934505,32958744,33016031,33072194,33172991,33333430,33368471,33407471,33524279,33577384,33601991,33640799,33651864,33658009,33718319,33815039,33835034,33930839,34089097,34095126,34276511,34410239,34467431,34676519,34690900,34740424,34896962,34903511,34978919,35035391,35152317,35241839,35349914,35393350,35521799,35561356,35596151,35619265,35623470,35651162,35965991,36021191,36082041,36094679,36202077,36369119,36401762,36406525,36460199,36532919,36569231,36727572,36804479,37074239,37078587,37110071,37342199,37446554,37525192,37595234,37774557,37828164,37855151,37858347,37977959,37998368,38030471,38291951,38603351,38631962,38637791,38766705,38997479,39065591,39074114,39082977,39092641,39116591,39145384,39167519,39236600,39269159,39368162,39370511,39487294,39521406,39756359,39959661,40000116,40137565,40368191,40661879,40829762,40858252,40888511,40936871,40964209,40993192,41001239,41241479,41254801,41351152,41416511,41606351,41629080,41653631,41716559,41763671,41843212,42044831,42075911,42215841,42230831,42323399,42461711,42472020,42584937,42743118,42748164,42766751,42781919,42793257,43038551,43173479,43263071,43297192,43316221,43367231,43485791,43589111,43618559,43687830,43709762,43723300,43809191,43925831,43987144,44038557,44070911,44099831,44104929,44131372,44141175,44401559,44404352,44487119,44501351,44529791,44671511,44826479,44840519,44845634,44994431,45080230,45133511,45135784,45303488,45368111,45409271,45550874,45791774,45937799,45977951,46058039,46071359,46112474,46117341,46217351,46256999,46270199,46349231,46414871,46454159,46480280,46520046,46600352,46741192,46778759,46832715,46843079,47052556,47083920,47111039,47149031,47199304,47224799,47366845,47451118,47524991,47547577,47562191,47571025,47644994,47673359,47747111,47832791,47869391,47905919,47930231,48082870,48159599,48165078,48338639,48515879,48644711,48698710,48709341,48726191,48760991,48922439,49093679,49139039,49263119,49441871,49464071,49475159,49485537,49530479,49575097,49629551,49706159,49706714,49868999,49954896,49955111,49979162,50125799,50222848,50251034,50304911,50346719,50377991,50440319,50533271,50626984,50645999,50707079,50777757,50858519,50898599,50928194,50966424,51008159,51163581,51165791,51331031,51359951,51446279,51484439,51531959,51569831,51738671,51757271,51868199,51959759,52002105,52059551,52086599,52188172,52194071,52273919,52290315,52405274,52405559,52425396,52431671,52467960,52483679,52583841,52620959,52663439,52671911,52789679,52814711,52914119,52938791,52969410,52987919,53099217,53189519,53205431,53237159,53401631,53402734,53471039,53494031,53516951,53532191,53539799,53554369,53585992,53630471,53652959,53692465,53697719,53756951,53852111,53873879,53981639,53995871,53996762,54040264,54059519,54096276,54150311,54191759,54205511,54259994,54327839,54334559,54525959,54679271,54728332,54754199,54809639,54882551,54915554,54960239,54995639,55059791,55082879,55168319,55295831,55455791,55468912,55492079,55563479,55568519,55608551,55657871,55711199,55730351,55744631,55758839,55776336,55782359,55846630,55856279,55869911,55923719,55965824,55972031,56010839,56074079,56127431,56169092,56187311,56195159,56199258,56230079,56245391,56268119,56330951,56341799,56366831,56394959,56398439,56410420,56415719,56469671,56500704,56562239,56580551,56610431,56616311,56619239,56625071,56629261,56659391,56695271,56716679,56732399,56745129,56780279,56792399,56836631,56840214,56860919,56869511,56882159,56935852,56944751,56950199,56955357,56966111,56986792,56989154,57014471,57018911,57033191,57037319,57049271,57053111,57055631,57059351,57084431,57085230,57101159,57125711,57133151,57137471,57141719,57146711,57147359,57149879,57151751,57152639,57153071,57153431,57153599,57337227,57403389,57699444,58190956,58438452,58899674,58935430,59026455,59151962,59891505,60284241,60349465,60795297,60823624,60890912,60909025,60998092,61001542,61048744,61491505,62011874,62250375,62256962,62402526,62512665,62547532,62623514,62748378,62961552,63467054,63563292,63566961,63884272,64076762,64110141,64381681,64397356,64430958,64676162,64865992,64914914,65416820,65489137,65509274,65537704,66400400,66432424,66680176,67015956,67102792,67428097,67457356,67553725,67674849,67692504,67850714,67925110,68426577,68502276,68673292,68679837,68771162,69324046,69368065,69682394,69715821,70319809,70472162,70722516,70831746,71372756,71869806,71920154,72140762,72329665,72419358,72689762,72824185,72908354,72974241,73090830,73192012,73304374,73543569,73729917,73789806,74700450,74736477,75015198,75168794,75252009,75490641,75544264,76118114,76154067,76178942,76289620,76431962,76640474,77026201,77159234,77643195,77940556,77963552,78148905,78190792,78234892,78491162,78500184,78850984,79047745,79116172,79444905,79680480,79730344,79780900,80241560,80301892,80689754,80870956,81064470,81162412,81510132,81956162,82084009,82155745,82174477,82328829,82819408,82995025,83241678,83358832,83376957,83674792,83896318,84043874,84061132,84741232,84785762,84987297,84992512,85499692,85518434,85601545,85674932,85908705,85971674,86468768,86795598,86850205,87145060,87308617,87389022,87708996,87964641,88116861,88183874,88312707,88684744,88707357,88958234,89585725,89636762,89640540,89670721,89696637,90202792,90222914,90271755,90667220,90884162,91181932,91284721,91520481,91547544,91635952,91973830,92099162,92432375,92496962,92560897,92655074,92760009,92797864,93171834,93452600,93514394,93530185,93555910,93778686,93876424,94134141,94431962,94728529,94813612,94857294,94957634,95333886,95368012,95616576,95737080,95769434,95834134,96289872,96525949,96798806,97260681,97277364,97475505,97826114,98388904,98586894,98908994,98943532,99239834,99594030,99770337,99826274,...,49104781972876103287654223108675735640029004245998458849294901858182497123882725396698978044672136942013766481883255934011318272137143505771666810743567253757178018848799236017091233751837102589548291757012950591276156225165273254341743458486680117130490892790384563114901846729283528125497887147934768431137220087761746596485799212360427044348583521257947721276107467384816840527332980822326432489504414149908867057597461037131587832816086186131626488609463724512678486166469509627978267187144449667841181470017893720193756172665522670657844212549951721309259837291622016922462792608011755293418089505004732536851133281235601220445769498735657524211700516100656376323309260395522151298754383128626390389630416834930857745123944762540800516656843595683762804469048157863417399807355567064108912057117553162417006154842583207855351753260012116153087568198316912621642382235776650961521821652368496553526597838675499500442699309243313948202816553779798067890452659134089969374876906963549418317176312230405933782459660806892656656113539404910073452589145109303052135535412970397756362176625637106849124420527702466384737235863479237617691739454826678192229765863909928285763305386442834901364502692419189543458895662655192107049052263712971627562566354083252334160236698536394098728882963163298615203710428344768888151822001213405610478388220258464993786735954187946345195616834992000706576977759110152357753056400529030579586651895165944164583360553951322212723822614587650838839792951581214920753184332679821580629029782967253806265876309505247297964059020331585367279357366484778018649756740547265179573352414498531431124373921340680476996318727118010396252023480636482914075658931046769180610153678373885697510690390337757783818365542768057048331167436341115054477351869439227113323680537717099528539356570886339410564139320567807367723263350873315455544548891742930399886072650836041581501135516376626751600696592404791961715113549128909985423379344476917238708871468628369651265179378924039713726629149268810476175814831893054612991003449360931621399934038001976313453718626347639516858435091814987505906513931167762331758405518469777774463605069317265364755345666724804079528103424660474058710255030180984312271338942099478124744056089626656108769243829625525571745625390268136757727079971298200749104461142998231624055691249687917304342539346659906350801720358548056413968037841134498162899013028801}
15121   453632638081756675680318899310316403765768922350042615025046783: {15121,498531,740243,770151,1057490,1268988,1374191,1510700,1812840,1854471,1933696,1963130,2039445,2175408,2325554,2355756,2429651,2447334,3154019,3240695,3273011,3322220,3335111,3470930,3888834,3904943,3986664,4165116,4325951,4484997,4550151,4675730,5444963,5578490,5587631,5610876,5644034,5919592,6076031,6123698,6134711,6179930,6427631,6659541,6691143,6694188,7415916,7490451,7731695,7928025,7943471,7982330,8022243,8028412,8305223,8456560,8733011,8748140,9019634,9182330,9202271,9278034,9438125,9513630,9578796,9743618,10140771,10147872,10196543,10201516,10282514,10497768,10614191,10668243,11009591,11018796,11194851,11325750,11368058,11416356,11469160,11732519,11809989,12080800,12433778,12475730,12816911,12902805,13061939,13177298,13539839,13590900,13739411,13762992,14366632,14400695,14496960,14566490,14861978,14970876,15163130,15263996,15376611,15463424,15483366,15573074,15615628,15895443,15947234,16018871,16162461,16309080,16437743,17045615,17059091,17264104,17265791,17280834,17396352,17435948,17473043,17479788,17704551,17762540,18195756,18347715,18476643,18653471,19238252,19241025,19422117,19570896,19627730,19759143,19952051,20270631,20276819,20454738,20523760,20743034,20931251,20995034,21036243,21315048,21545571,22017258,22308040,23089230,23162771,23244851,23482490,23553276,23580428,23655443,23979429,24297676,24331431,24370130,24628512,24835143,24902615,24961490,25096545,25332602,25386983,25768415,26090643,26173672,26589839,26769648,26799971,26884658,27048983,27340691,27390165,27491699,27707076,27926615,28157171,28178988,28502930,28838901,29216176,29244156,29360591,29380211,29445381,29475791,29723639,29774834,29804008,29883138,29953788,30115854,30377651,30397871,30514991,30922098,31788695,32303738,32834543,32868198,33206930,33248572,33511938,33529509,33676396,33793490,33921695,33983471,34203516,34241511,34252211,34332025,34394783,34739783,34749338,35054025,35103596,35621615,35869043,36182258,36284834,36425445,36517811,37227143,37390960,37885043,38146434,38160695,38488751,38827731,38853808,39058130,39389591,39417719,39439151,39493811,39640552,39848316,39893543,40021671,40224530,40552188,40670245,40706034,40775308,40862471,40898543,41119144,41198430,41240711,41299391,41971730,42064830,42351532,42745938,42894419,43042271,43363625,43425530,43542376,43571091,43710534,43944992,44294783,44298611,44451695,44595621,44743431,44869152,45429338,45460168,45775202,45792834,45909465,45918071,46156451,46197983,46259037,46266083,46578311,46607943,46869756,46887743,46906490,47285205,47285231,47361263,47363618,47497960,48109388,48228051,48269436,48535298,48804294,48931730,48970096,48985173,49045750,49071623,49438116,49608291,49617191,49687154,49698611,49863443,50000145,50366076,50437552,50477796,50752551,50753123,50946071,51072815,51142689,51241490,51436082,51640754,51688940,51910931,52036350,52110636,52304015,52345443,52695208,53024871,53090025,53220671,53279548,53319578,53333488,53342034,53406431,53417651,53435205,53476743,53810339,54121490,54163031,54571778,54602643,54654125,54983930,55091358,55164215,55505440,55898738,55991471,56169831,56287788,56392851,56419730,56629360,56742246,56757743,56779916,56990824,56997552,57057676,57319634,57345491,57929474,57943418,57947943,58100350,58128371,58250440,58345154,58426490,58611171,58714943,58718076,58790402,58806572,58815695,58854900,58999130,59052243,59230941,59282109,59587391,59698019,59824271,60000174,60465911,61244643,61287378,61413539,61489788,62026728,62443620,62764818,62778560,63042323,63283730,63581978,63708030,64114677,64122246,64220104,64251671,64423859,64711751,64865138,64945788,65235215,65531745,65564643,65584950,65825063,65980716,66101231,66104834,66197058,66606528,66961583,66982490,67268451,67550330,67620345,67703676,67955232,68218108,68326311,68410415,68416943,68687661,68994611,69151874,69168711,69336140,69720420,69764051,69780069,69820343,69835763,69900528,69929459,69957280,70111788,70159703,70211365,70282943,70329311,70513025,70569383,70578834,70625880,70798956,70824419,71169815,71176677,71233490,71274131,71303831,71467491,72124305,72128368,72246611,72247617,72466982,72738695,72938978,73048065,73215443,73660631,74148578,74368448,74515682,74560071,74932344,74960402,74968743,75115034,75334272,75376551,75660172,75766343,75786952,75940476,76029530,76113640,76196258,76247615,76310930,76364819,76392291,76449636,76537852,76758434,76932592,77225543,77256371,77599151,77881634,77917936,78154583,78181202,78184415,78282258,78315023,78607911,78638094,78701940,78824834,78927443,79129319,79454115,79855340,80104101,80181458,80378988,80496695,80995143,81060396,81082490,81144414,81198131,81389991,81647411,81771025,81922130,82092498,82141871,82373331,82791938,83000500,83040530,83203368,83262098,83350220,83664504,83715983,83769945,83878490,83948736,83967554,84196451,84253638,84298887,84321695,84343034,84600143,84615630,84652562,84751056,84755948,85260321,85403778,85480188,85483731,85627845,85841615,85907944,86090291,86326223,86549166,87286434,87448898,87625571,87657678,87812378,87815858,87948973,88349511,88403145,88727943,89128751,89215945,89218643,89290403,89354608,90200243,90233132,90256672,90380114,90821378,90977138,91094783,91235436,91336368,91490015,91497138,91502313,91573116,91660514,91862579,91944143,92240951,92383538,92416691,92425439,92565551,92894819,92954428,92984498,92986943,93017811,93357551,93385443,93409271,93603789,93821298,93935271,93974831,94122567,94296688,94424591,94430330,94442328,95200581,95344938,95362025,95635058,95650103,95826408,96059351,96115143,96129971,96157823,96559144,96596034,96646437,96836531,97014243,97205543,97298988,97323539,97372371,97425695,97454440,97738490,97793615,97827143,98058092,98125230,98128898,98263911,98306556,98386408,98563730,98895215,99409199,99600600,99648636,99662930,99726125,...,65473042630501471050205630811567647520038672327997945132393202477576662831843633862265304059562849256018355309177674578681757696182858007695555747658089671676237358465065648022788311669116136786064389009350600788368208300220364339122324611315573489507321190387179417486535795639044704167330516197246357908182960117015662128647732283147236059131444695010596961701476623179755787369777307763101909986005885533211822743463281382842117110421448248175501984812618299350237981555292679503971022916192599557121575293357191626925008230220696894210458950066602295079013116388829355896617056810682340391224119340006310049134844374980801627261025998314210032282267354800875168431079013860696201731672510838168520519507222446574476993498593016721067355542458127578350405958730877151223199743140756085478549409490070883222674873123444277140469004346682821537450090931089216828856509647702201282029095536491328738035463784900666000590265745657751930937088738373064090520603545512119959166502542618065891089568416307207911709946214409190208874818052539880097936785526812404069514047217293863675149568834182809132165894036936621846316314484638983490255652606435570922973021151879904381017740515257113201819336923225586057945194216873589476065403018283962170083421805444336445546982264715192131638510617551064820271613904459691850869096001617874147304517627011286658382314605583928460260822446656000942102637012146869810337408534038707439448869193554592219444480738601762950298430152783534451786390602108286561004245776906428774172039710623005075021168412673663063952078693775447156372476488646370691533008987396353572764469885998041908165831895120907302661758302824013861669364640848643885434211908062358907480204904498514263347587187117010378424487390357409397774889915121486739303135825918969484431574050289466038052475427848452547418852427423743156964351134497753940726065188990573866514763534448055442001514021835502335467595456539722615620151398838546647231172459302556318278495291504492868353572505232052951635505532358413968234419775857406150654671265814575495199912050669301751271624835130186022477913455753316674542018574890349775677874024626370365951473425756353819673794222299738772704137899547298744947006706907979083028451922799304166325408119502208145025658439500700762327500520357515676969439961730934332139281523997642165407588332917223072456719128879875134402293811397408551957383788179330883865350705068}
15122   455678629174452432333371665911492776774444116633713438460665522: {392782,467821,573838,664708,875278,918721,1026868,1116142,1296622,1416862,1586235,1636417,1691984,1777198,1888375,1903482,2017102,2082637,2266050,2417120,2472628,2675518,2719260,2881297,2900544,2944695,2969677,3093502,3141008,3212782,3263112,3488331,3533634,3671001,4024621,4105342,4152775,4520638,4875982,4983330,5171662,5179643,5185112,5206395,5315552,5407918,5553488,5702878,5833251,5879662,5979996,6017617,6066868,6247674,6445837,6644062,6820078,6937342,7013595,7171678,7399490,7464238,7481168,7989838,8223022,8308621,8367735,8416314,8466051,8688622,8879388,8921524,8925584,8977357,9095182,9185547,9269895,9309997,9558721,9724177,9887888,9963742,9971821,9987268,10035515,10041282,10310158,10425502,10547137,10570700,10696324,10828702,10935175,11001262,11123874,11173678,11288542,11460718,11690062,11848897,11973495,12042618,12370712,12376558,12570803,12684840,12751895,12771728,13122210,13521028,13529451,13530496,13572382,13685902,13773495,13917051,13997024,14224324,14252542,14270445,14336450,14365678,14368194,14591758,14615427,14632237,14691728,14788621,14926468,15101000,15106091,15221808,15302274,15333697,15423771,15720877,15746652,16223182,16391182,16528194,16559038,16614958,16719121,16782622,16988625,17052087,17061742,17124534,17203740,17327377,17451838,17855821,17896702,17958290,18121200,18285118,18350656,18562078,18650667,18713595,19059598,19079995,19198477,19329280,19445662,19519535,19567297,19720942,19765947,19861057,19961168,20215438,20299537,20386350,20434798,20502148,20644488,20708638,20807821,21091342,21193924,21549948,21580130,21582238,21742417,21745440,21794935,21849735,22180462,22203175,22292967,22456314,22744695,22830862,22895994,22901963,23041112,23086477,23195136,23225049,23296321,23306384,23359611,23423442,23606068,23640622,23783437,23920851,23963518,24047815,24261008,24335821,24463620,24635524,24815377,24982222,25564154,25654700,25696621,25896156,25921251,26078507,26094528,26153922,26219682,26345524,26565697,26643810,26843662,27027508,27225937,27272984,27293634,27371902,27477358,27488017,27635422,27813997,27885050,28048324,28420064,28460557,28580782,28727428,28857378,29103742,29163457,29260318,29290321,29356344,29416897,29441595,29475535,29520958,29885182,29920321,30041038,30357037,30372095,30507742,30611278,30682107,30785640,31025731,31076398,31114551,31404368,31437262,31492551,31585357,31767121,31948237,31972572,32207902,32441908,32717090,32838016,33025887,33076942,33113524,33137351,33256621,33432337,33462060,33665617,33738382,33839821,33839902,33997082,34013377,34346542,34633845,34685483,34787524,34814737,35223735,35329914,35370642,35405278,35656318,35692864,35706478,35979251,36446514,36456958,36520220,36555195,36810577,36942768,37080397,37255010,37442235,37451998,37571984,37826317,37879057,37984321,37998903,38099579,38391358,38451868,38637598,38661517,38981662,38992208,39021121,39079822,39128878,39226942,39260508,39373918,39377197,39667438,39777647,39779821,39844184,39938384,40128337,40154472,40155358,40326987,40544542,40690222,40911697,41229464,41248621,41416462,41560614,41560715,41723821,41898622,41959291,42095495,42139102,42268482,42475102,42561037,42754395,42789457,42848834,42858142,42970897,43192462,43196077,43430782,43763758,43824264,43866234,43879495,44132858,44509357,44616382,44662251,44682584,44706012,44757982,44824707,44848621,44899438,44930682,45173781,45390097,45604558,45604688,45655348,45838798,45999757,46079821,46108307,46119358,46166062,46278721,46383147,46666802,46738700,46864702,47559742,47694637,47698318,47929783,48205198,48347821,48412247,48455607,48480862,48525121,48567260,48770317,49114477,49302297,49349998,49484737,49550690,49551121,49577758,49759678,49810395,49866971,49872858,50258638,50267907,50514594,50666221,50690235,50727277,50861912,50969135,50980942,51176017,51305274,51340558,51398930,51770308,51878062,52124007,52324222,52457758,52655394,52682797,52724398,52833997,52857502,52933357,52939415,53007121,53079022,53131088,53362228,53551117,53641837,53664337,53709121,53993197,54069584,54203437,54273387,54274712,54312142,54346321,54399742,54427251,54427970,54485677,54923998,54931240,54954577,54967582,54972397,55095121,55180621,55313677,55394497,55489342,55576078,55581121,55685197,55728721,55835902,56002321,56008798,56078594,56086440,56192591,56358721,56390797,56396878,56411821,56432557,56483137,56578897,56632897,56808721,56825210,56912302,56926657,56982097,56994584,57007117,57067597,57116737,57126382,57131857,57168577,57168721,57219651,57297358,58094788,58275502,58280712,58587195,58588751,58908862,59203198,59372450,59460828,59657908,59772474,59789518,59825536,59854883,60136735,60164782,60336795,60580222,60663118,60828282,61035358,61057112,61059051,61162962,61212620,61406302,61529662,61678716,61797645,62143924,62429902,62493008,62552062,62957595,63046940,63097245,63112322,63291527,63527298,63725518,63966622,64118907,64127038,64304068,64359248,64611175,64686478,64965022,65072392,65138295,65282398,65313564,65440702,65565801,65756542,65869010,65917488,66032062,66144388,66313583,66345982,66599435,66666860,66736942,66814942,67048558,67154768,67203982,67281598,67303728,67316018,67436638,67630078,67670068,67861678,68144007,68178194,68190252,68553022,68662803,68689251,68820478,68934862,69353038,69381800,69480848,69793924,69807022,69957838,70070782,70304634,70359735,70483678,70699828,70786700,70974895,71043598,71045427,71122712,71192302,71238530,71246940,71302324,71322095,71931982,72042382,72164082,72189358,72404154,72738238,72802947,72803524,72813050,72920398,73065838,73138462,73206441,73397595,73455144,73508215,73568625,73608958,74148478,74157174,74220142,74530731,74684398,74893108,75050384,75169451,75190468,75549114,75656328,75710302,75716694,75955918,75996736,76060942,76583902,76862235,77154123,77206702,77263924,77275582,77461131,77533410,77994958,78054525,78131182,78148228,78165954,78185282,78233182,78290768,78335038,78473200,78538318,78736324,78741022,78974588,79042812,79512718,79687751,79919322,79979367,80000232,80013051,80275130,80736382,81182235,81323758,81659524,81716504,81777022,81857667,81873742,81928418,81986384,82002478,82475895,82482958,82509602,82637037,82702304,82833022,83212702,83258160,83307262,83433118,83527342,83686424,83848107,84089662,84151822,84431682,84461662,84489251,84629595,84646798,84923422,84944040,85113369,85169874,85272635,85486236,85496328,85533502,85563838,85586514,85606411,85979451,86077102,86088107,86346958,86526142,86594384,86632442,86670175,86734462,86894211,86915127,86971582,87150525,87178222,87237118,87375660,87419524,87446600,87517731,87618382,87639735,87851662,87974288,88077114,88141822,88185603,88199662,88209858,88262744,88282350,88498695,88803118,88808704,88974238,89002702,89059582,89343022,89652958,89681038,89691268,89988862,90000261,90160460,90267022,90271568,90606976,90736222,90818542,91101748,91583548,91875598,91931067,91955902,92116078,92142718,92224948,92234682,92434702,92513998,92540398,92698462,92829742,92908318,92960560,93040092,93200704,93482384,93557518,93665430,93686158,94105112,94147227,94167840,94222078,94298062,94398608,94449598,94575215,94733690,94902236,94925595,95049982,95095154,95124382,95142050,95289988,95346718,95372967,95494222,95562045,95665582,95672315,95738782,95811838,95860462,96165740,96183369,96319198,96330156,96677278,97031758,97115291,97289422,97297707,97397420,97418682,97452382,97521982,97580219,97844878,98187358,98278078,98377425,98526238,98883742,98928142,98950318,98971074,99060958,99150194,99157251,99259102,99295587,99412318,99413428,99737998,99819175,99909792,99910222,99958324,...,98209563945752206575308446217351471280058008491996917698589803716364994247765450793397956089344273884027532963766511868022636544274287011543333621487134507514356037697598472034182467503674205179096583514025901182552312450330546508683486916973360234260981785580769126229803693458567056250995774295869536862274440175523493192971598424720854088697167042515895442552214934769633681054665961644652864979008828299817734115194922074263175665632172372263252977218927449025356972332939019255956534374288899335682362940035787440387512345331045341315688425099903442618519674583244033844925585216023510586836179010009465073702266562471202440891538997471315048423401032201312752646618520791044302597508766257252780779260833669861715490247889525081601033313687191367525608938096315726834799614711134128217824114235106324834012309685166415710703506520024232306175136396633825243284764471553301923043643304736993107053195677350999000885398618486627896405633107559596135780905318268179938749753813927098836634352624460811867564919321613785313312227078809820146905178290218606104271070825940795512724353251274213698248841055404932769474471726958475235383478909653356384459531727819856571526610772885669802729005384838379086917791325310384214098104527425943255125132708166504668320473397072788197457765926326597230407420856689537776303644002426811220956776440516929987573471908375892690391233669984001413153955518220304715506112801058061159173303790331888329166721107902644425447645229175301677679585903162429841506368665359643161258059565934507612531752619010494595928118040663170734558714732969556037299513481094530359146704828997062862248747842681360953992637454236020792504046961272965828151317862093538361220307356747771395021380780675515567636731085536114096662334872682230108954703738878454226647361075434199057078713141772678821128278641135614735446526701746630911089097783485860799772145301672083163002271032753253503201393184809583923430227098257819970846758688953834477417742937256739302530358757848079427453258298537620952351629663786109225982006898721863242799868076003952626907437252695279033716870183629975011813027862335524663516811036939555548927210138634530729510691333449608159056206849320948117420510060361968624542677884198956249488112179253312217538487659251051143491250780536273515454159942596401498208922285996463248111382499375834608685078693319812701603440717096112827936075682268996325798026057602}
15123   457733774319538431044241520150706601189892694936572335739431450: {30242,589173,830885,860757,997062,1283585,1312917,1480486,1540302,1674213,1827221,1944933,2114980,2125293,2537976,2665797,2748382,2855223,3021400,3025653,3090785,3399075,3625680,3708942,3727477,3867392,3926260,4013277,4078890,4350816,4536973,4640253,4651108,4711512,4811477,4819173,4859302,4894668,5300451,5897453,6158013,6308038,6481390,6546022,6644440,6670222,6780957,6941860,7250113,7313973,7432961,7474995,7583585,7757493,7777668,7809886,7973328,7975733,8111877,8330232,8554317,8651902,8819493,8877997,8969994,9100302,9351460,9371511,9769397,9966093,10230117,10406013,10757517,10824373,10889926,11099235,11151905,11156980,11175262,11196357,11221752,11288068,11839184,11984757,12152062,12247396,12269422,12304837,12334533,12359860,12484085,12624471,12855262,13032933,13213375,13319082,13370405,13382286,13388376,13562753,13642773,14473621,14831832,14945613,14980902,15061923,15436837,15463390,15465237,15638253,15856050,15886942,15964660,16044486,16056824,16243053,16272293,16501893,16610446,16685811,16760517,16901285,16913120,16932813,17191077,17466022,17496280,17535093,17780405,17898017,18039268,18063927,18364660,18404542,18556068,18564837,18658085,18876250,18931393,19027260,19157592,19487236,19683315,20160973,20281542,20295744,20358573,20393086,20403032,20528853,20565028,20847997,20995536,21228382,21336486,21378813,21504675,21548517,21552291,21887637,22019182,22037592,22389702,22651500,22720721,22736116,22832712,22938320,22953411,23465038,23619978,23863861,24161600,24334773,24586773,24736933,24792291,24838557,24867556,24922437,24951460,25173933,25592613,25627685,25633822,25686801,25805610,26123878,26177757,26354596,26492405,26845053,26937435,27079678,27181800,27427677,27478822,27525984,27843117,28423621,28428917,28589397,28667453,28733264,28801390,28993920,29132980,29168493,29507585,29581413,29723956,29941752,30323157,30326260,30527992,30579525,30652197,30753222,30794405,30926848,30966732,31062957,31146148,31231256,31637013,31672693,31790886,31894468,32037742,32068375,32324922,32370195,32373357,32618160,32875486,32931905,33270693,33684471,33784385,34091230,34118182,34246293,34343991,34528208,34531582,34561668,34792704,34862801,34863661,34871896,34946086,34959576,35060405,35127937,35135163,35409102,35460933,35525080,35909285,35945277,36075781,36391512,36695430,36766837,36953286,37306942,37473333,37886081,38134877,38346231,38476504,38482050,38844234,39097261,39141792,39230883,39255460,39329523,39518286,39904102,39965715,40265493,40541262,40550113,40552385,40553638,40909476,40940451,41047520,41057853,41216037,41391905,41453133,41486068,41642141,41827575,41862502,41990068,42072486,42182753,42411821,42630096,42871173,43091142,43157413,43252453,43286067,43484405,43655613,43890477,43920437,44034516,44281437,44504173,44586901,44616080,44827773,45061557,45101597,45650275,45761613,45842621,45916917,46178460,46325542,46489702,46584577,46614597,46964980,47106552,47155893,47160856,47310886,47490373,47958858,48064835,48311853,48595352,48662862,48740260,49075635,49257024,49615413,49670286,49805230,49870261,49922980,50193090,50607573,50627557,50665204,50759853,50773966,50995623,51237077,51320197,51519813,51536830,52181286,52347344,52994871,53055963,53107917,53179678,53424973,53484477,53539296,53559717,53599942,53769316,54097966,54548533,54669771,54681382,54685437,54780330,54983398,55414152,55853230,55882515,56177997,56314342,56357976,56938343,57005860,57069185,57100213,57309197,57418061,57587037,57677802,57956397,58259597,58423375,58432352,58472493,58488312,58619733,58693317,58721182,58760422,58840413,58890762,58951582,59060877,59424161,59447278,59501157,59549668,59608016,59766276,59907576,60208993,60231708,60233037,60404621,60709075,60755302,60795742,60816813,61029982,61035333,61844196,62124693,62232373,62340921,62494093,62847933,62999717,63208653,63402723,63577390,63594037,63712653,64273251,64287213,64607476,64712885,64788693,65146173,65645637,65669086,65736396,65799351,66199287,66363053,66413860,66497144,66702785,66924573,67023876,67059018,67136973,67349157,67352792,67396023,67586980,67843390,67966942,68406837,68407032,68483022,68504422,68664050,68758197,68789566,69179037,69249093,69351377,69479566,69498676,70000203,70108050,70207192,70297053,71243230,71339613,71459713,71482037,71501941,71547477,71738086,72203077,72307797,72364516,72569668,72579637,72618485,72721293,72850890,73035622,73225621,73281853,73783553,74024997,74326035,74366637,74454286,74572385,74639517,74781920,74809287,75279101,75387957,75436237,75770086,75771891,75933793,76292868,76321390,76471413,76515775,76872421,76957911,76977502,77010837,77098395,77101277,77229901,77655462,77679905,77707616,77817093,78034501,78116260,78486333,78686637,78779182,78808675,78835438,78878302,78968021,78983091,78987622,79086597,79281104,79286253,79618533,79672253,79692517,79696632,79787086,80043342,80129057,80301821,80380085,80449060,81104376,81340490,81412068,81468213,81550616,81599613,81641955,81724942,81797086,82238288,82341973,82385997,82396860,82451373,82481422,82598782,82680485,83234013,83333575,83364117,83621021,83753853,83943460,84013197,84117891,84129660,84587585,84595317,84703064,85106561,85237815,85368453,85491876,85689573,85788838,85946037,86084542,86310901,86722561,86727250,86851060,87053473,87063341,87084752,87142182,87242405,87413253,87421068,87736973,87889984,88212317,88363293,88374785,88483375,88532753,88589566,88597222,88804797,88903390,89058675,89127905,89191242,89486862,89577473,89658711,89684277,89738304,90000613,90000941,90101957,90247173,90858676,90870333,90920336,90994677,91004405,91024637,91242423,91329301,91550404,91553037,91585668,91744443,91759397,91818930,91836142,92109453,92294493,92312902,92395966,92518074,92532166,93156622,93215886,93616385,93644853,93739512,93775486,93812980,93828093,93988085,94423541,94553101,94570410,94570462,94668483,94707437,94722526,94727236,94995920,95290947,95588277,95774581,95861453,95949933,96190557,96192221,96218776,96456102,96538872,96579905,96933997,97029717,97070596,97323521,97447533,97608588,97685285,97863460,97869461,97923597,97940192,97970346,98091500,98143246,98161053,98295911,98420405,98634813,98718235,98803515,98876232,99048093,99216582,99234382,99374308,99397222,99518973,99637741,99678317,99726886,...,147314345918628309862962669326027206920087012737995376547884705574547491371648176190096934134016410826041299445649767802033954816411430517315000432230701761271534056546397708051273701255511307768644875271038851773828468675495819763025230375460040351391472678371153689344705540187850584376493661443804305293411660263285239789457397637081281133045750563773843163828322402154450521581998942466979297468513242449726601172792383111394763498448258558394879465828391173538035458499408528883934801561433349003523544410053681160581268517996568011973532637649855163927779511874866050767388377824035265880254268515014197610553399843706803661337308496206972572635101548301969128969927781186566453896263149385879171168891250504792573235371834287622401549970530787051288413407144473590252199422066701192326736171352659487251018464527749623566055259780036348459262704594950737864927146707329952884565464957105489660579793516026498501328097927729941844608449661339394203671357977402269908124630720890648254951528936691217801347378982420677969968340618214730220357767435327909156406606238911193269086529876911320547373261583107399154211707590437712853075218364480034576689297591729784857289916159328504704093508077257568630376686987965576321147156791138914882687699062249757002480710095609182296186648889489895845611131285034306664455466003640216831435164660775394981360207862563839035586850504976002119730933277330457073259169201587091738759955685497832493750081661853966638171467843762952516519378854743644762259552998039464741887089348901761418797628928515741893892177060994756101838072099454334055949270221641795538720057243495594293373121764022041430988956181354031188756070441909448742226976793140307541830461035121657092532071171013273351455096628304171144993502309023345163432055608317681339971041613151298585618069712659018231692417961703422103169790052619946366633646675228791199658217952508124744503406549129880254802089777214375885145340647386729956270138033430751716126614405885108953795538136772119141179887447806431428527444495679163838973010348082794864199802114005928940361155879042918550575305275444962517719541793503286995275216555409333323390815207951796094266037000174412238584310273981422176130765090542952936814016826298434374232168268879968326307731488876576715236876170804410273181239913894602247313383428994694872167073749063751913027618039979719052405161075644169241904113523403494488697039086403}
15124   459798114145383282858741621735719136993607487607181801804479160: {45363,256819,347323,618403,708619,785564,935642,1068763,1147676,1329416,1495593,1606819,1750556,1837442,2053736,2220729,2232284,2310453,2497819,2586523,2593244,2643725,2833724,3172470,3272834,3381619,3383968,3469603,3554396,3776750,3806964,3820819,4034204,4122573,4165274,4170883,4345483,4532100,4606843,4834240,4907825,4945256,5214163,5351036,5438520,5563413,5645803,5762594,5801088,5813885,5889390,5903923,5939354,6118335,6187004,6282016,6425564,6526224,6844819,6976662,7067268,7184803,7288953,7342002,7354363,8049242,8197843,8210684,8305550,8533219,8677325,9041276,9462057,9722085,9751964,9780619,9819033,9966660,10005333,10110523,10343324,10359286,10370224,10412790,10631104,10815836,11106976,11405756,11418619,11666502,11689325,11714829,11742763,11759324,11959992,12035234,12133736,12495348,12548083,12891674,12977853,13288124,13425619,13454991,13640156,13650453,13742563,13874684,13946225,14027190,14049721,14110085,14343356,14798980,14928476,14962336,15309245,15310003,15449825,15979676,16334889,16446044,16617242,16619683,16735470,16762893,16832628,16924819,16932102,17000923,17377244,17758003,17758776,17843048,17851168,17852653,17954714,18190364,18228093,18371094,18404133,18539790,18619994,18731443,18805819,18880123,19117442,19282893,19448354,19545619,19619203,19775776,19927484,19943642,19955825,19974536,19978623,20071030,20073429,20082564,20086121,20569243,20620316,20851004,21094274,21141400,21291763,21392648,21650323,21657404,21870350,22002524,22078219,22247748,22347356,22432819,22471353,22549085,22577084,22921436,22955825,23195085,23380124,23697794,23784075,23830413,23833219,23946990,24066729,24085236,24109843,24359045,24741424,24753116,24915669,25141606,25204819,25369680,25503790,25543456,25706285,25946923,26199033,26214619,26244420,26281363,26711993,27042056,27058902,27060992,27142483,27144764,27208219,27327349,27371804,27546990,27606813,27796603,27834102,27994048,28314375,28420145,28448648,28505084,28507819,28540890,28572043,28672900,28731356,28736388,29183516,29230854,29264474,29383456,29577242,29841403,29852936,30202000,30212182,30341083,30422313,30443616,30512909,30589629,30604548,30651043,30667394,30847542,31084445,31189325,31326619,31441754,31493304,31842573,32004729,32446364,32770363,32782364,32888803,32943245,33028773,33056388,33118076,33229916,33418219,33438242,33565244,33584553,33651643,33666941,33977250,34104174,34123484,34249068,34287619,34407480,34516723,34654754,34675817,34903676,34914883,35084443,35197557,35421619,35429967,35700619,35711642,35793404,35916580,36033043,36242400,36416225,36472243,36570236,36581323,36666773,36701312,37122403,37124156,37154945,37301334,37427190,37603219,37907825,38078203,38119196,38159990,38339563,38396954,38450733,38650819,38658560,38708415,38891324,38932685,39039070,39134594,39185817,39214723,39417619,39441884,39531894,39722114,39868085,39919819,39922336,40414819,40430876,40599074,40610803,40619517,40772700,40869596,40902619,41004296,41218233,41265749,41288976,41417276,41615642,42090619,42182684,42276523,42387848,42520933,43053763,43099896,43160260,43164476,43202085,43412323,43484834,43490880,43501243,43589870,43634083,43699470,43854043,44115619,44360924,44406350,44545819,44585934,44912628,45489390,45661724,45791988,45803926,46082224,46129833,46154803,46172954,46353163,46390272,46450098,46592642,46612768,46719222,46846884,47128603,47212136,47281244,47542819,47566874,47686329,47765083,47841702,47911819,47927036,47948323,48056613,48095630,48487383,48522016,48628219,48671642,48927240,48941203,49069325,49180603,49271048,49313229,49483219,49516483,49588253,49630754,49942363,49964444,49974619,50261683,50324683,50480923,50727163,51058219,51128308,51136845,51177273,51309400,51393242,51778219,51792312,51797373,51842502,51857585,51944323,52157014,52189056,52215403,52307844,52419129,52427083,52439364,52487585,52691048,52891157,52936123,53113653,53131394,53227723,53287620,53299003,53531923,53554819,53568581,53687324,53690683,53757643,54019003,54055016,54082723,54124843,54228883,54310819,54411619,54431563,54451874,54545968,54587268,54703219,54743804,54954716,54976034,55043145,55084243,55254523,55270844,55429929,55480819,55496443,55558219,55627994,55633819,55770100,55960413,56096648,56161723,56221483,56442523,56503219,56542243,56643619,56644289,56652403,56840128,56841619,56869123,56882443,56914483,56921114,57043219,57084619,57106003,57118819,57130483,57161564,57167203,57171523,57177283,57181819,57183403,57183619,57454856,57714756,57723075,58185001,58207484,58266351,58326914,58520636,58580642,58706225,58712688,58833794,58883190,58933693,58951070,59041916,59277429,59770364,59840642,59856153,60082076,60714074,60744190,60811893,60830457,60925325,61015484,61222556,61364214,61431293,61571280,62051462,62152796,62229102,62403725,62793753,62808736,62874524,62985102,63108729,63170714,63331505,63534242,63896474,63945144,64415804,64636713,64828973,64883816,65434180,65676032,66051774,66153884,66227048,66274702,66513242,66864674,66924120,67211645,67331234,67476764,67679642,67679804,67994164,68026754,68693084,69267690,69370966,69488313,69575048,69629474,69734553,70447470,70659828,70737589,70741284,70810556,70966329,71257325,71312636,71356789,71385728,71412956,71938287,71958502,72893028,72913916,72994293,73040440,73110390,73621154,73885536,74053649,74115181,74160794,74437085,74505429,74510020,74707845,74717621,74884470,74903996,75143968,75289635,75652634,75758114,75968642,75997806,76160949,76199158,76782716,76903736,77275196,77305245,77323034,77963324,77984416,78042242,78159644,78257756,78271929,78453884,78521016,78747836,78754394,79334876,79555294,79559642,79688368,79769517,79876768,80256674,80308944,80310716,80399913,80653974,80759345,81089084,81146949,81380444,81823394,82022073,82170495,82458928,82475097,82497242,82832924,83017325,83121228,83121430,83447642,83779845,83797244,83918582,84190990,84191429,84278204,84471513,84483725,84536964,84950204,85122074,85508790,85578914,85697668,85716284,85941794,86384924,86392154,86516703,86861564,86873345,87527516,87648528,87732468,87758990,88081773,88140633,88265716,88336143,88427373,89018714,89170917,89232764,89324502,89365168,89412024,89515964,89649414,89697242,89798876,89861364,90347562,90455645,90712085,90780194,91132953,91193613,91209116,91209376,91310696,91544973,91677596,91999514,92159642,92216614,92238716,92332124,92557442,92766294,93239209,93333604,93477400,93729404,94176433,95119484,95366085,95389274,95396636,95859566,96410396,96695642,96824494,96911214,96961724,97050242,97134520,97540634,97645325,98228954,98503629,98604594,98699996,98969474,99101380,99102242,99155516,99364853,99519356,99620790,99733942,99745716,99850933,...,196419127891504413150616892434702942560116016983993835397179607432729988495530901586795912178688547768055065927533023736045273088548574023086667242974269015028712075395196944068364935007348410358193167028051802365104624900661093017366973833946720468521963571161538252459607386917134112501991548591739073724548880351046986385943196849441708177394334085031790885104429869539267362109331923289305729958017656599635468230389844148526351331264344744526505954437854898050713944665878038511913068748577798671364725880071574880775024690662090682631376850199806885237039349166488067689851170432047021173672358020018930147404533124942404881783077994942630096846802064402625505293237041582088605195017532514505561558521667339723430980495779050163202066627374382735051217876192631453669599229422268256435648228470212649668024619370332831421407013040048464612350272793267650486569528943106603846087286609473986214106391354701998001770797236973255792811266215119192271561810636536359877499507627854197673268705248921623735129838643227570626624454157619640293810356580437212208542141651881591025448706502548427396497682110809865538948943453916950470766957819306712768919063455639713143053221545771339605458010769676758173835582650620768428196209054851886510250265416333009336640946794145576394915531852653194460814841713379075552607288004853622441913552881033859975146943816751785380782467339968002826307911036440609431012225602116122318346607580663776658333442215805288850895290458350603355359171806324859683012737330719286322516119131869015225063505238020989191856236081326341469117429465939112074599026962189060718293409657994125724497495685362721907985274908472041585008093922545931656302635724187076722440614713495542790042761561351031135273462171072228193324669745364460217909407477756908453294722150868398114157426283545357642256557282271229470893053403493261822178195566971721599544290603344166326004542065506507006402786369619167846860454196515639941693517377907668954835485874513478605060717515696158854906516597075241904703259327572218451964013797443726485599736152007905253814874505390558067433740367259950023626055724671049327033622073879111097854420277269061459021382666899216318112413698641896234841020120723937249085355768397912498976224358506624435076975318502102286982501561072547030908319885192802996417844571992926496222764998751669217370157386639625403206881434192225655872151364537992651596052115204}
15125   461871689459229929118765400980442308512236376780011323941158489: {60484,981955,1163239,1178346,1403463,1434595,1661770,1721514,1797019,1994124,2159443,2188195,2567170,2625834,2756163,2790355,2960972,3080604,3241555,3348426,3542155,3654442,3818023,3889866,4229960,4250586,4327099,4361299,4442995,4758705,4909251,5042755,5075952,5143303,5331594,5496764,5665125,5686291,5710446,6042800,6051306,6136339,6181570,6247911,6591271,6688795,6797923,6798150,7251360,7417884,7454954,7733755,7734784,7852520,7945579,8026554,8031955,8157780,8307427,8643891,8701632,8780563,8834085,8909031,9073946,9280506,9302216,9423024,9622954,9638346,9718604,9789336,10053691,10100563,10263355,10464993,10600902,10617019,11013003,11301595,11545651,11794906,12033739,12073863,12189955,12316026,12458325,12616076,12929155,12962780,13092044,13288880,13340444,13519795,13561914,13723303,13883720,14202523,14257195,14500226,14627946,14699155,14865922,14949990,15158371,15167170,15514986,15538929,15555336,15612667,15619185,15619772,15946656,15951466,16023139,16223754,16610155,16660464,16679443,17050195,17108634,17303804,17343355,17477719,17499753,17638986,17755994,17929195,17939988,18052851,18200604,18498725,18660595,18702920,18718567,18743022,18771091,19132363,19337511,19538794,19932186,19974595,20460234,20557555,20812026,21040785,21515034,21590503,21648746,21721555,21779852,22198470,22303810,22313960,22350524,22392714,22443504,22576136,22737955,23661799,23678368,23969514,24304124,24494792,24538844,24545623,24609674,24669066,24719720,24892567,24909355,24925863,24968170,25103205,25248942,25393747,25398153,25710524,25775395,25830739,26063755,26065866,26121319,26426750,26638164,26740810,26764572,26776752,26807143,26932071,27071755,27125506,27285546,27457639,27503155,27556641,27809685,27929991,27934195,28221355,28651795,28676163,28947242,29172531,29225155,29663664,29891226,29915463,29961804,30106545,30123846,30731611,30873674,30926780,30930474,30941395,31276506,31353223,31641411,31712100,31773884,31929320,32088972,32113648,32486106,32544586,32662363,32805525,33003786,33203479,33220892,33371622,33521034,33597811,33802570,33826240,33865626,33930955,34214755,34382154,34403947,34932044,34992560,35070186,35371747,35546691,35560810,35631355,35796034,35841125,35878759,35914195,35920485,36078536,36127854,36136291,36479395,36527623,36729320,36809084,37089367,37112136,37129674,37172839,37316170,37712409,37752500,37862786,38054520,38255685,38315184,38394619,38964307,38974472,39366630,39449659,39904219,40321946,40557955,40563084,40588353,40591488,40717146,40786172,40806064,40977955,41057706,41130056,41251699,41310619,41320485,41397595,41537395,41695994,41751153,41956555,41991072,42343267,42456764,42654355,42672972,42757626,42811335,42963943,43009350,43053739,43097034,43104582,43112167,43629595,43702843,43775274,43846281,43896711,44038364,44075184,44246983,44365863,44741755,44779404,44895725,45068491,45303000,45318273,45428947,45441442,45472232,45665424,45712795,45876640,45906822,46001091,46104667,46168903,46271313,46405195,46930076,46945651,47162631,47239956,47298139,47401447,47648995,47727722,47768083,48323200,48614155,48669546,49084567,49099291,49173546,49302355,49473866,49584582,49677114,49735112,49844874,49902920,50157363,50272999,50347866,50538595,50965875,51086995,51156261,51185226,51255370,51267644,51373602,51597139,51611220,51771595,51905971,51924823,51982131,52247756,52355514,52709192,52728355,52984810,53435539,53567463,53690106,53824903,53874870,53950325,53955595,54159356,54177643,54363600,54855354,54957644,55051968,55130827,55451155,55686234,55952001,56006311,56140785,56365639,56773339,56847242,56857834,57077155,57178794,57239985,57334906,57466528,57595431,57602780,57923947,57948667,57987840,58265960,58336986,58558605,58701891,59015170,59101555,59162826,59297841,59402491,59447912,59533639,59583171,59883504,59908795,60291667,60412747,60482323,60646314,60652520,60878167,60898611,60910099,61055984,61159050,61304394,61437991,61506444,61588810,61853696,61933464,62044603,62061703,62125914,62292296,62423463,62455555,62462512,63274026,63345386,63522379,63581772,63788936,63910385,64075484,64136750,64173127,64269139,64585987,64649844,64740390,64746714,64884019,64899043,65227251,65236320,65384805,65549205,65750972,65863810,66541386,66609525,66878901,67109155,67290769,67368942,67511047,67568770,67729051,68017267,68182460,68234085,68236364,68429755,68492586,68687982,68693395,68705889,68852251,69056416,69063164,69088555,69123336,69259431,69585408,69612103,69675147,69712625,69725602,69727322,69743792,69839179,69888963,69892172,69919152,70078833,70120810,70255874,70270326,70674811,70818204,70828579,70921866,71050160,71350311,71451955,71762553,71818570,71890554,72143445,72151562,72266023,72301147,72496579,72734371,72759355,72783024,73007463,73150795,73371751,73390860,73533674,73680739,73802395,73906572,74170471,74305363,74446131,74454211,74613884,74712955,74868691,74946666,75102595,75529303,75772162,75786619,76269355,76269754,76314391,76528195,76686187,76692462,76953008,76964100,77089863,77688468,77690995,77763753,77881099,78194522,78231739,78235521,78283584,78356839,78461766,78510920,78593155,78659046,79036572,79682971,79697091,79808204,79896859,79931430,80519755,80530986,81082524,81100226,81104770,81107276,81677811,81715771,81792725,81818952,81880902,82095040,82115706,82358707,82432074,82463971,82464051,82692355,82783810,82906266,82972136,83284282,83441991,83632483,83655150,83725004,83942023,83957299,83980136,84144972,84218983,84345955,84365506,84478771,84599755,84623059,84823642,84992705,85260192,85381671,85667587,85734823,85742346,85866355,85970587,86182284,86314826,86504906,86572134,86968810,87311226,87490371,87565147,87780954,87840874,87870963,88069032,88250691,88324785,88426605,88513195,88562874,89008346,89140795,89173802,89190739,89232160,89242519,89260147,89266195,89655546,89760963,90114343,90123114,90203194,90598039,90697171,90975979,91071111,91116285,91119691,91142395,91300550,91344583,91523226,91685242,91833834,91969099,92028679,92046321,92266339,92356920,92441623,92651084,92979404,93077193,93137525,93169154,93229194,93325843,93343653,93383899,93629995,93929960,94213104,94311786,94321712,94477653,94621772,94756071,94980746,95301363,95788123,95844711,95917716,95978395,96129670,96188467,96593995,96623706,97190704,97306087,97325724,97454155,97480520,97596487,97624339,97699555,97822195,97882627,98067355,98151270,98434795,98514048,98731747,98824843,98948371,99077661,99168595,99230826,99340572,99412053,99610460,99740522,99769863,99845960,...,294628691837256619725925338652054413840174025475990753095769411149094982743296352380193868268032821652082598891299535604067909632822861034630000864461403522543068113092795416102547402511022615537289750542077703547656937350991639526050460750920080702782945356742307378689411080375701168752987322887608610586823320526570479578914795274162562266091501127547686327656644804308901043163997884933958594937026484899453202345584766222789526996896517116789758931656782347076070916998817057767869603122866698007047088820107362321162537035993136023947065275299710327855559023749732101534776755648070531760508537030028395221106799687413607322674616992413945145270203096603938257939855562373132907792526298771758342337782501009585146470743668575244803099941061574102576826814288947180504398844133402384653472342705318974502036929055499247132110519560072696918525409189901475729854293414659905769130929914210979321159587032052997002656195855459883689216899322678788407342715954804539816249261441781296509903057873382435602694757964841355939936681236429460440715534870655818312813212477822386538173059753822641094746523166214798308423415180875425706150436728960069153378595183459569714579832318657009408187016154515137260753373975931152642294313582277829765375398124499514004961420191218364592373297778979791691222262570068613328910932007280433662870329321550789962720415725127678071173701009952004239461866554660914146518338403174183477519911370995664987500163323707933276342935687525905033038757709487289524519105996078929483774178697803522837595257857031483787784354121989512203676144198908668111898540443283591077440114486991188586746243528044082861977912362708062377512140883818897484453953586280615083660922070243314185064142342026546702910193256608342289987004618046690326864111216635362679942083226302597171236139425318036463384835923406844206339580105239892733267293350457582399316435905016249489006813098259760509604179554428751770290681294773459912540276066861503432253228811770217907591076273544238282359774895612862857054888991358327677946020696165589728399604228011857880722311758085837101150610550889925035439083587006573990550433110818666646781630415903592188532074000348824477168620547962844352261530181085905873628033652596868748464336537759936652615462977753153430473752341608820546362479827789204494626766857989389744334147498127503826055236079959438104810322151288338483808227046806988977394078172806}
15126   463954541247976847879190249889062097784587680630028091862389035: {75605,90726,287033,513638,648569,694646,798869,1098869,1236806,1417238,1571128,1636853,1696469,1767519,1871284,2137526,2295352,2350133,2492655,2582271,2658832,2675513,2941013,2991186,3213638,3411413,3501112,3557993,3674884,3701215,3821333,3850755,3938751,4107472,4200569,4441458,4464568,4620906,4636469,4995638,5022639,5128313,5173046,5186488,5287450,5301353,5416553,5481663,5502869,5589113,5667448,5732693,5834799,6019253,6344940,6375879,6504569,6545668,6703733,6763238,6767936,6870955,6939206,7108792,7129193,7298873,7553500,7613928,7641638,7997391,8068408,8139439,8198969,8245146,8282933,8330548,8341766,8394773,8565669,8618069,8690966,8813033,9064200,9076959,9213686,9272355,9367913,9668480,9781973,9815650,9890512,10197225,10358633,10428326,10631993,10702072,10877040,10877333,11126826,11182431,11291606,11525188,11602176,11627770,11771369,11778780,11807846,11878708,12039831,12148255,12236670,12374008,12496373,12564032,12576569,12851128,13052448,13056233,13189013,13506869,13610919,13689638,13691753,13823573,13902569,13920759,13953324,14134536,14369606,14375033,14434431,14457519,14577906,14636393,14684004,14708726,15026933,15338069,15389813,15648053,15770095,15802613,15901353,16098484,16203475,16238969,16365055,16395686,16421368,16611100,16622069,16675555,16876469,17003369,17066438,17332373,17354650,17692359,17936213,18082552,18211433,18311273,18474039,18808553,18924114,19444170,19503928,19524715,19561238,19573013,19622069,19638066,19695593,19754119,19793513,19933320,20010666,20221046,20342871,20354069,20426873,20686648,20718572,20740448,20825580,21030773,21150953,21262208,21432943,21629755,21631672,21750339,21796469,21941919,21962873,22213952,22298883,22318133,22388969,22424985,22459733,22750755,22811512,22837238,22929653,23272479,23333004,23378650,23429658,23485526,23512553,23518648,23738143,23836793,23859893,23919984,23927199,24070468,24267472,24335631,24754553,24868373,24990696,25096166,25208633,25662951,25681973,25783348,25955706,26017913,26240873,26440853,26458479,26551673,26576248,26633991,26851238,26909982,26948969,27168569,27224815,27234293,27280312,27300906,27485126,27749368,27822569,27892450,27930869,27938155,28054380,28099442,28114533,28220170,28469369,28512233,28686712,28832693,29214869,29308191,29468213,29597960,29856952,29898279,29924672,30366569,30380155,30618490,30620006,30673555,30690351,30779369,30899650,30923093,31218039,31229753,31290869,31568719,31959352,31998569,32058773,32138155,32138933,32272551,32358713,32473119,32656853,32669778,32892088,33031913,33234484,33239366,33297705,33443093,33455715,33470940,33482069,33525786,33589071,33665256,33676469,33849638,33864204,34001846,34024373,34062869,34102663,34484213,34541369,34754488,34863893,35052533,35333993,35516006,35517552,35686096,35702336,35705306,35909428,35954271,35988799,36038969,36094133,36380728,36456186,36551033,36742188,36808266,36914511,37003599,37079580,37128569,37182293,37239988,37449833,37452255,37462886,37611638,37760246,37873413,37874153,38049593,38189369,38234884,38311253,38415413,38565786,38658475,38674553,38896708,39017273,39091238,39098799,39136469,39187433,39238406,39390569,39424313,39551552,39640125,39717355,39788203,39854968,39887284,39911650,39926633,39949072,39957246,40111215,40142060,40146858,40165128,40172242,40273973,40438133,40688259,40925813,40928319,40958069,40980511,41006393,41070713,41138486,41240632,41526115,41549033,41675369,41702008,41785493,41832569,41957753,42188548,42282800,42484073,42530069,42583526,42785296,43016213,43300646,43314808,43333459,43390313,43420863,43434869,43518223,43665055,43740700,43993013,44005048,44156438,44267753,44495496,44553833,44596469,44694712,44836839,44865638,44906933,44942706,45060713,45098170,45154168,45185769,45199673,45434069,45475193,45570869,45733973,45842872,45911650,46003253,46011355,46120543,46176569,46282553,46310511,46374869,46390170,46395711,46479893,46727273,46760248,46791893,46914759,47022869,47175413,47190625,47395588,47568150,47588969,47660826,47666438,47893980,47896469,47933033,48133458,48170472,48219686,48222953,48401813,48649193,48707573,48718090,48729159,48788969,48816879,48846869,49470569,49482848,49503893,49505679,49506232,49526069,49636469,49831338,50057433,50123369,50281551,50282069,50283212,50407733,50409638,50459753,50563193,50594069,50703855,50739360,50747369,50798439,50928953,50982715,51007580,51068393,51086912,51225833,51390869,51412570,51573231,51601013,51893846,52016923,52064213,52118453,52181369,52398066,52429238,52463993,52488840,52490069,52550633,52562726,52605279,52679093,52729973,52847573,52872569,52955369,52971833,53070955,53341215,53423986,53527913,53550869,53573753,53687093,53694051,53702069,53908373,54030569,54084112,54115433,54117804,54121984,54191781,54240569,54261173,54284966,54289528,54329333,54416438,54505759,54509369,54522473,54561593,54606869,54654698,54743608,54960953,55047955,55093980,55096469,55213626,55238969,55333013,55349369,55508969,55545173,55570793,55593206,55661369,55668204,55694511,55710569,55782869,55797113,55815319,55820693,55908473,55957973,55974255,55988096,56129813,56178869,56198969,56269673,56381753,56417513,56459369,56516693,56538823,56558969,56628750,56660213,56666069,56700533,56708969,56736569,56768633,56781653,56794179,56819513,56834153,56840290,56897296,56924393,56942933,56992853,57010168,57015638,57049973,57062069,57072233,57080633,57081780,57096569,57099113,57102869,57128213,57134453,57144086,57146069,57161333,57187733,57191573,57193193,57197369,57198293,57198773,57345800,57462712,57472776,58367032,58461708,58528948,58604299,58662595,58766912,59049945,59154484,59682806,59705872,59870767,60404000,60424364,60482919,60682166,60844626,60887232,61025818,61075719,61179258,61209096,61302086,61334788,61586559,61695084,62168890,62378650,62507731,62543991,62653238,62883508,62986608,63308323,63685146,64009458,64084555,64136439,64514025,64645551,64656873,64892728,65309695,65540726,65564728,65662911,65777606,65886490,66057546,66112776,66236152,66459832,66836438,66876484,67130488,67169106,67303286,67333882,67699195,67954500,68162163,68208348,68246968,68498136,68575238,68697055,68814960,68860233,69033446,69309508,69351634,69807352,69829766,70168886,70395114,70843238,70859934,71401238,71423284,71586808,71591583,71833160,72003475,72066086,72455911,72484800,72600619,72832450,72944486,73004319,73140472,73162646,73333546,73402624,73482619,73760319,74210799,74244806,74248312,74309890,74376873,74515671,74602668,74767311,74854380,75206438,75521799,75815650,76156406,76238392,76319980,76616059,76679126,76777839,76793908,76883055,76901466,77060403,77301638,77317120,77416830,77782648,77865370,78078140,78269188,78362383,78371634,78429446,78533271,78835238,78883768,79063788,79444228,79477215,79736170,79839638,79844672,80094355,80535159,80812305,80829638,80861752,81198148,81221606,81239034,81545400,81739192,81805238,82008592,82188715,82283031,82436466,82531498,82577952,82765843,82834552,83231284,83529351,84181238,84365368,84553046,84775696,85041866,85228075,85270863,85286751,85295455,85768191,86002359,86107526,86199792,86320520,86328952,86328955,86404170,86824646,86969668,86981760,87002486,87179740,87268166,87365215,87398940,87505479,87708086,88231238,88302643,88522755,88664107,88721848,88744239,88812700,89091638,89171868,89825256,90969471,90978780,91323448,91583976,91607852,91738575,91956591,92164448,92259666,92309606,92345908,92383215,92706326,92780544,92900196,93185284,93188871,93225536,93267355,93438444,93693768,94096303,94257206,94424272,94562488,94911039,95018079,95085638,95133748,95372658,95530166,95683404,95823638,95854072,95896646,96113226,96191260,96205125,96974766,97044032,97110585,97120071,97256438,97343284,97854480,97882406,98138650,98361206,98542096,98626458,98795715,98966438,99032966,99176506,99261508,99760255,99812079,99884726,99928888,99949238,...,441943037755884929588888007978081620760261038213986129643654116723642474114944528570290802402049232478123898336949303406101864449234291551945001296692105283814602169639193124153821103766533923305934625813116555321485406026487459289075691126380121054174418035113461068034116620563551753129480984331412915880234980789855719368372192911243843399137251691321529491484967206463351564745996827400937892405539727349179803518377149334184290495344775675184638397485173520614106375498225586651804404684300047010570633230161043481743805553989704035920597912949565491783338535624598152302165133472105797640762805545042592831660199531120410984011925488620917717905304644905907386909783343559699361688789448157637513506673751514377719706115502862867204649911592361153865240221433420770756598266200103576980208514057978461753055393583248870698165779340109045377788113784852213594781440121989858653696394871316468981739380548079495503984293783189825533825348984018182611014073932206809724373892162671944764854586810073653404042136947262033909905021854644190661073302305983727469219818716733579807259589630733961642119784749322197462635122771313138559225655093440103730067892775189354571869748477985514112280524231772705891130060963896728963441470373416744648063097186749271007442130286827546888559946668469687536833393855102919993366398010920650494305493982326184944080623587691517106760551514928006359192799831991371219777507604761275216279867056493497481250244985561899914514403531288857549558136564230934286778658994118394225661268046705284256392886785547225681676531182984268305514216298363002167847810664925386616160171730486782880119365292066124292966868544062093566268211325728346226680930379420922625491383105364971277596213513039820054365289884912513434980506927070035490296166824953044019913124839453895756854209137977054695077253885110266309509370157859839099900940025686373598974653857524374233510219647389640764406269331643127655436021942160189868810414100292255148379843217655326861386614410316357423539662343419294285582333487037491516919031044248384592599406342017786821083467637128755651725915826334887553158625380509860985825649666227999970172445623855388282798111000523236715752930821944266528392295271628858810442050478895303122696504806639904978923194466629730145710628512413230819543719741683806741940150286984084616501221247191255739082854119939157157215483226932507725712340570210483466091117259209}
15127   466046710678962644707077109436534285112280829574169588739402095: {120968,136089,770457,1041969,1374737,1855209,1963910,2008433,2125857,2326478,2339105,2356692,2552069,2806926,2869190,3063473,3206289,3323540,3443028,3594038,3906497,3988248,4318886,4376390,4486779,4512209,4538177,4593605,4820457,4874393,4959017,5134340,5251668,5512326,5580710,5921944,6078449,6161208,6220193,6483110,6662187,6696852,6931359,7059857,7084310,7129529,7252037,7308884,7493457,7636046,7759569,7779732,7931175,8033909,8182085,8459920,8501172,8654198,8722598,8880353,8885990,9364313,9441875,9480917,9517410,9818502,10085510,10144857,10151904,10286606,10377029,10408809,10413185,10663188,10747049,10827257,10993528,11244737,11330250,11372582,11420892,11462457,11937029,12085600,12102612,12272678,12363140,12367719,12495822,12512649,13036449,13182542,13377590,13449473,13595846,13596300,13820529,14368697,14406485,14502720,14723475,14835768,14848385,14895329,14909908,15467510,15469568,15642489,15705040,15822233,15891158,16053108,16063910,16160453,16218449,16315560,16614854,16690239,16937409,17009729,17065937,17287782,17403264,17441655,17561126,17668170,17711769,17818062,18100817,18147892,18355005,18561012,18604432,18846048,18927713,18936437,19245908,19276692,19437208,19578672,19712069,19960073,20065649,20107382,20123105,20186633,20201126,20526710,20534457,20578817,20607557,20763875,20929986,21201804,21234038,21554409,21866859,22026006,22063089,22603190,23091302,23254217,23589812,23870273,24067478,24147726,24280697,24379910,24593529,24632052,24756437,24916650,25100873,25232152,25237049,25516049,25599657,25858310,25898215,25925560,26031975,26124833,26184088,26577760,26680888,27039590,27123828,27446606,27767440,27964433,28386171,28405046,28514390,28780577,29000452,29166255,29205233,29255892,29341857,29398310,29457099,29731844,29899980,30015999,30088085,30316742,30331569,30334340,30410177,30527237,31029972,31077858,31110672,31225334,31238370,31239544,31681169,31681529,31833137,31893312,31902932,32046278,32229185,32348297,32447508,32449937,32812673,33220310,33320928,33358886,34100390,34217268,34255649,34255857,34607608,34686710,34873097,34955438,34999506,35067975,35144487,35228289,35277972,35511988,35858390,35879976,36085553,36105702,36401208,36489257,36776633,36997450,37053809,37321190,37405840,37437134,37486044,37500353,37542182,37644249,37900457,38264726,38504417,38628449,38675022,38933559,39077588,39107873,39509897,39533129,39864372,39949190,40112513,40276857,40364973,40560917,40915217,40920468,40951359,41115110,41227689,41418137,41543105,41624052,41838675,42081570,42149163,42330255,42911633,43030068,43169009,43181006,43263977,43297492,43317953,43443110,43559704,43931537,44396940,44598833,44607620,44627920,44701048,44785428,44886785,44887008,44933909,45152272,45475910,45834689,45927735,45930009,45936533,46349475,46549985,47275937,47323598,47356736,47503337,47793605,47900657,47939028,48537029,48608248,48620885,48989584,49004667,49077688,49091246,49219348,49338132,49439440,49785134,49818710,49851726,49859049,49859105,49883897,49936340,50177575,50206410,50279873,50288679,50497884,50773529,50774457,50775569,50787494,50796306,51002769,51071153,51421048,51550790,51661478,52127510,52131732,52242638,52291889,52485449,52735685,52853500,53274009,53276328,53481620,53529144,53553504,53557959,53614286,53864142,53973617,54143510,54251012,54563249,54571092,54675875,54684279,54785753,54915278,55006310,55113282,55212399,55619370,55859982,55868390,56194329,56417457,56436617,56442710,56453189,56640369,56690513,56781137,57303590,57352326,57369137,57848679,57894484,57956633,58152353,58345062,58450310,58636857,58739177,58857609,58932953,59244485,59317697,59327328,59716097,59722073,59782452,59830926,59867475,59923608,59935869,60213090,60220287,60247692,60258363,60918293,60978437,61081433,61438553,61463222,61707729,61747348,61853560,61860948,61882790,62124449,62553012,62638457,62706446,62854015,63273209,63282822,63424200,63547768,63611249,63759475,63858640,63875289,63997913,64177944,64227296,64449713,64738529,64950969,64967273,64972212,65071169,65089172,65324726,65452913,65611050,66007572,66234657,66406958,66441784,66613937,66708593,66743244,67042068,67195622,67298457,67414059,67520129,67605140,67647255,67652480,67731252,67861910,68059817,68075993,68307497,68429510,68764308,68807894,68867475,69023297,69040193,69585255,69864088,69935129,69985120,70140372,70357937,70743494,70754033,71093382,71121620,71262710,71332697,71352225,71479109,71491239,71499657,71521793,71592068,71682250,71757518,71828390,71840970,72157072,72200187,72255708,72272582,72329529,72480233,72517433,72708113,72958790,73055246,73077135,73161185,73345649,73458640,73618168,73819697,73943105,74178734,74224272,74259348,74345678,74627729,74632340,74747007,75424818,75505000,75530455,75537833,75614457,75725572,75858929,75954437,76109040,76511370,76630368,76668485,76698869,76789238,76892993,77118855,77287433,77631617,77656889,77840769,77928614,77948944,78055553,78367553,78597099,78604385,78643857,78733260,78734837,78844089,78899318,79161353,79808438,79908017,80032049,80135979,80643892,81115910,81126168,81176706,81182976,81427449,81434292,81572344,81612128,81624657,81680177,81955910,81982047,82115412,82260112,82268849,82503398,82621238,82640970,82742177,82795190,82820439,83074790,83161433,83389809,83391988,83464193,83502306,83595605,83872313,83913110,83953529,83982144,84686534,84913528,84943125,85182953,85260435,85308710,85345944,85515252,85523457,85622670,85716129,85927886,86018700,86107478,86194068,86209164,86224334,86636885,87077237,87259190,87405686,87435473,87437777,87550548,87692562,87793422,87815429,88052777,88076728,88150368,88493966,88571573,88731726,89279105,89474539,89483510,89524209,89558808,89791450,90136982,90606000,90636546,90857894,90882884,90944464,91023249,91093553,91266939,91330848,91425590,91538727,91753280,91768887,91813644,91899593,91953129,92002182,92209217,92209334,92337806,92542626,92603537,92810390,93253335,93421529,93447317,93567975,93860152,93891302,93952817,93979857,94325262,94462817,94479912,94578713,94596278,94802894,94911833,95297990,95399975,95455444,95527719,95536166,95801657,95992385,96014187,96097973,96170753,96469889,96646400,96723977,97228310,97339092,97597675,97793729,97836485,97866929,98169134,98198582,98311089,98347092,98604710,98666409,98745029,98829735,98838389,98947732,99086319,99169164,99204209,99298037,99305285,99354228,99449093,99470224,99689748,99730409,99805840,...,589257383674513239451850677304108827680348050951981506191538822298189965486592704760387736536065643304165197782599071208135819265645722069260001728922807045086136226185590832205094805022045231074579501084155407095313874701983279052100921501840161405565890713484614757378822160751402337505974645775217221173646641053140959157829590548325124532183002255095372655313289608617802086327995769867917189874052969798906404691169532445579053993793034233579517863313564694152141833997634115535739206245733396014094177640214724642325074071986272047894130550599420655711118047499464203069553511296141063521017074060056790442213599374827214645349233984827890290540406193207876515879711124746265815585052597543516684675565002019170292941487337150489606199882123148205153653628577894361008797688266804769306944685410637949004073858110998494264221039120145393837050818379802951459708586829319811538261859828421958642319174064105994005312391710919767378433798645357576814685431909609079632498522883562593019806115746764871205389515929682711879873362472858920881431069741311636625626424955644773076346119507645282189493046332429596616846830361750851412300873457920138306757190366919139429159664637314018816374032309030274521506747951862305284588627164555659530750796248999028009922840382436729184746595557959583382444525140137226657821864014560867325740658643101579925440831450255356142347402019904008478923733109321828293036676806348366955039822741991329975000326647415866552685871375051810066077515418974579049038211992157858967548357395607045675190515714062967575568708243979024407352288397817336223797080886567182154880228973982377173492487056088165723955824725416124755024281767637794968907907172561230167321844140486628370128284684053093405820386513216684579974009236093380653728222433270725359884166452605194342472278850636072926769671846813688412679160210479785466534586700915164798632871810032498978013626196519521019208359108857503540581362589546919825080552133723006864506457623540435815182152547088476564719549791225725714109777982716655355892041392331179456799208456023715761444623516171674202301221101779850070878167174013147981100866221637333293563260831807184377064148000697648954337241095925688704523060362171811747256067305193737496928673075519873305230925955506306860947504683217641092724959655578408989253533715978779488668294996255007652110472159918876209620644302576676967616454093613977954788156345612}
15128   468148239100754042407228571506263487844140060623402316644050585: {105847,151210,181452,558367,574066,1009087,1027276,1297138,1389292,1458007,1597738,2197738,2473612,2705407,2834476,2945865,2970871,3142256,3273706,3392938,3489717,3535038,3587767,3742568,4113727,4154425,4210389,4275052,4303785,4550047,4590704,4700266,4897807,4985310,5157871,5164542,5181701,5317664,5351026,5391057,5848207,5882026,5982372,6417925,6427276,6478329,6564585,6822826,7002224,7115986,7299871,7349768,7402430,7642666,7701510,7877502,8214944,8268489,8312047,8371065,8395927,8401138,8882916,8929136,9136105,9241812,9272938,9619337,9724665,9975967,9991276,10045278,10223071,10256626,10346092,10372976,10469527,10574900,10602706,10626465,10633471,10833106,10963326,11005738,11178226,11286367,11334896,11454069,11465386,11669598,12038506,12498127,12689880,12751758,12898447,12981297,13009138,13083897,13091336,13328985,13407466,13526476,13535872,13741910,13878412,14217584,14258386,14276115,14403247,14597746,14727753,15107000,15128265,15227856,15283276,15429909,15453925,15650287,15804871,15994782,16136816,16278878,16397938,16490292,16565866,16661096,16683532,16789546,16995375,17007557,17058873,17131338,17236138,17334871,17381932,17626066,17938807,18128400,18153918,18239047,18409017,18427372,18544710,18637385,18735826,18743733,19206871,19336960,19563946,19631300,19773813,19781024,19796407,19943071,20066385,20393769,20394450,20717266,20817007,20856652,21263986,21404144,21754080,21754666,22078133,22253652,22364862,22583212,22684865,22911077,23050376,23201265,23204352,23255540,23345777,23376607,23542738,23557560,23615692,23757416,23836737,23863471,24001927,24057385,24079662,24095865,24296510,24346807,24473340,24689887,24748016,24894871,24922281,24992746,25128064,25153138,25702256,25708327,25931673,26104896,26112466,26341689,26378026,26502255,26577871,26727093,27013738,27221838,27334601,27379276,27383506,27647146,27805138,27841518,27906648,28021687,28054169,28269072,28666447,28739212,28750066,28858471,28868862,28915038,29155812,29272786,29367367,29368008,29417452,29487265,29997007,30053866,30161073,30246847,30281657,30301689,30433471,30676138,30779626,30790065,31296106,31394979,31540190,31605226,31802706,31851057,31963471,32083927,32196968,32406950,32477938,32730110,32741287,32791372,32842736,33039009,33222200,33244138,33272647,33331327,33351110,33623647,33740071,33752938,33904785,34006738,34029871,34132876,34636953,34664746,34709300,35001727,35339767,35384718,35619487,35872426,36101217,36118447,36165104,36221589,36250565,36422866,36557071,36569865,36622546,36948078,37098871,37164805,37374975,37473847,37617106,37848228,37898071,37917925,38055967,38114741,38787465,38888340,39007856,39040927,39049430,39092047,39113417,39122476,39146026,39244138,39276132,39391186,39508238,39587026,39866640,39878665,40021332,40442092,40559385,40685742,40708138,40787287,40853746,41029567,41169909,41373296,41437144,41480896,41651160,41745607,41792767,41975989,42061546,42213967,42301906,42524416,42532217,42607569,42771585,42865886,42942977,43259510,43263344,43500678,43592938,43620127,43708471,43883838,43925746,44015407,44097465,44275687,44389985,44427904,44597766,44636266,44777938,44849970,44915047,44919466,44993417,45475113,45501510,45623024,45674476,45859306,46025071,46304287,46540807,46544958,46616787,46666008,46757300,46813471,46838001,46857555,46859316,46929247,46971052,47025106,47037296,47460967,47476286,47673586,47719786,47839968,47854398,47948857,48069417,48140936,48196087,48411007,48431513,48534944,48671262,48728527,48846985,49176871,49346071,49509106,49736746,49830465,49907887,49981392,50038329,50192332,50386327,50417266,50480071,50573167,50939071,51150585,51236071,51325902,51363946,51525871,51566696,51611407,51752527,51911412,52030065,52035826,52299007,52433157,52481746,52499259,52561447,52664407,52740871,52866871,52881706,52905193,52916958,53064727,53103346,53152496,53267982,53281807,53698471,53702476,53787585,53819964,53876167,53897938,54027871,54070567,54121865,54158553,54279727,54337138,54449630,54468586,54560624,54601812,54882367,54970252,55008871,55131847,55350871,55496175,55498736,55604297,55645138,55759525,55781287,55784900,55852207,55861738,55876310,55907647,55975327,55981785,56041207,56108760,56142871,56155701,56179807,56198884,56229066,56298247,56313273,56398687,56440340,56483071,56691367,56782447,56835871,56850487,56857687,56925727,56938471,56938738,56969071,57024466,57064327,57176071,57190687,57203071,57208471,57210847,57213367,57373424,57397089,57665386,58012533,58136561,58429738,58616382,58936426,59195920,59713904,59796558,59849344,59923785,60733138,60760310,61131077,61236980,61240012,61347110,61380702,61524185,61558738,61672665,61799300,61846186,62420425,62436078,62459506,62581738,63122355,63137438,63918704,63997138,64117546,64276310,64277866,64415897,64545102,64717426,64771509,64846177,64946238,65164665,65313706,65339556,65784176,66063826,66066875,66468968,66478732,66595410,66818609,66852025,66886186,66911430,66941880,66964138,67051572,67178142,67330512,67352938,67699276,67728408,67813765,68003692,68048746,68125738,68205326,68213865,68968426,69082738,69508976,69727786,70105066,70667986,70756361,70985397,71032012,71035104,71372192,71375801,71404672,71410612,71818856,71908542,71977598,72077938,72188266,72368105,72761456,72912372,73102066,73484376,73616532,73636869,73829022,73872773,74007198,74073301,74159160,74257138,74299337,74364586,74479976,74677701,74728065,74777589,74899666,74904510,74925772,75223276,75309615,75520492,75746826,75748306,76099186,76181241,76194459,76378738,76469768,76622506,76830826,77067137,77131572,77184185,77316950,77326185,77349106,77492217,77793416,78034546,78182476,78191265,78197598,78272938,78363957,78374866,78476812,78781138,78848626,79103104,79280250,79434710,79576406,79709936,79774568,79823300,79853266,79898144,79914492,80222430,80284120,80293716,80330256,80344484,80421429,80547946,80796213,80876266,81215265,81361465,81376518,81851626,81856638,81916138,81961022,82012786,82127633,82141426,82276972,82372917,82481264,82509465,82669923,83052230,83098066,83350738,83404016,83429055,83570986,83665138,83789973,83802585,83915506,84377096,84506425,84565600,84664065,84968146,85060138,85167052,85570592,85629713,85955385,86028489,86032426,86601292,86629616,86666918,86780626,86841726,86869738,87036446,87330110,87481400,87517593,87675465,87986026,88010096,88312876,88535506,88902025,88990992,89107666,89192938,89389424,89490085,89673678,89718377,89731276,89746389,89813866,89885412,90121426,90196340,90308336,90319635,90371538,90399346,90868138,90950386,91141738,91433573,91467946,91685744,91823300,92006506,92022710,92194833,92241086,92353138,92503001,92565106,92610089,92621022,92749738,92780340,92791422,92824185,92959786,93290425,93454546,93520496,93583786,93829518,94045738,94059669,94350826,94381250,94656965,94778873,94791176,94924233,95136300,95177938,95321652,95332876,95787960,95792938,95866066,96175877,96266916,96340944,96439372,96445906,96534889,96803626,97298386,97415146,97436180,97458318,97577938,97633758,97693738,97987089,98416575,98941138,98965696,99007786,99011358,99012464,99052138,99272938,99610437,99662676,...,883886075511769859177776015956163241520522076427972259287308233447284948229889057140581604804098464956247796673898606812203728898468583103890002593384210567629204339278386248307642207533067846611869251626233110642970812052974918578151382252760242108348836070226922136068233241127103506258961968662825831760469961579711438736744385822487686798274503382643058982969934412926703129491993654801875784811079454698359607036754298668368580990689551350369276794970347041228212750996451173303608809368600094021141266460322086963487611107979408071841195825899130983566677071249196304604330266944211595281525611090085185663320399062240821968023850977241835435810609289811814773819566687119398723377578896315275027013347503028755439412231005725734409299823184722307730480442866841541513196532400207153960417028115956923506110787166497741396331558680218090755576227569704427189562880243979717307392789742632937963478761096158991007968587566379651067650697968036365222028147864413619448747784325343889529709173620147306808084273894524067819810043709288381322146604611967454938439637433467159614519179261467923284239569498644394925270245542626277118451310186880207460135785550378709143739496955971028224561048463545411782260121927793457926882940746833489296126194373498542014884260573655093777119893336939375073666787710205839986732796021841300988610987964652369888161247175383034213521103029856012718385599663982742439555015209522550432559734112986994962500489971123799829028807062577715099116273128461868573557317988236788451322536093410568512785773571094451363353062365968536611028432596726004335695621329850773232320343460973565760238730584132248585933737088124187132536422651456692453361860758841845250982766210729942555192427026079640108730579769825026869961013854140070980592333649906088039826249678907791513708418275954109390154507770220532619018740315719678199801880051372747197949307715048748467020439294779281528812538663286255310872043884320379737620828200584510296759686435310653722773228820632714847079324686838588571164666974074983033838062088496769185198812684035573642166935274257511303451831652669775106317250761019721971651299332455999940344891247710776565596222001046473431505861643888533056784590543257717620884100957790606245393009613279809957846388933259460291421257024826461639087439483367613483880300573968169233002442494382511478165708239878314314430966453865015451424681140420966932182234518418}
15129   470259168043937284280166707042384249487381354227539099007130777: {226815,241936,272178,861099,1284095,1540914,1736615,1827947,1945707,2083938,2396607,2749474,2823887,3092015,3274747,3296607,3543095,3710418,3927820,4016866,4251714,4652956,4678210,4713384,4910559,5089407,5104138,5302557,5343815,5447851,5613852,5738380,6126946,6412578,6431047,6647080,6799727,6886056,7050399,7188076,7435919,7477965,7746813,7812994,7976496,7978907,8026539,8034095,8425807,8637772,8752780,8823039,8973558,9024418,9076354,9187210,9640914,9748786,9918034,10056359,10234239,10268680,10503336,10596319,10673979,11024652,11103645,11161420,11454919,11463999,11552265,11816253,11843888,12156898,12322416,12440386,12489095,12601707,12932615,12966220,13218625,13324374,13393704,13862718,13909407,14119714,14168620,14259058,14504074,14578459,14617768,14986914,15067917,15098159,15272092,15384939,15519138,15559464,15862350,15904059,16067818,16249659,16364170,16444989,16508607,16683887,16767339,16908095,16919840,17002344,17198079,17274967,17308396,17348015,17445196,17504397,17760706,17771980,18057759,18349607,18728626,18883750,18961834,19034820,19104095,19127637,19513707,19637004,20102407,20111199,20169079,20171020,20289714,20303808,20517239,20573212,20612865,20754058,20787739,20817618,20826370,20854415,21326376,21387579,21494098,21654514,21727415,21896619,21987056,22489474,22561531,22660500,22745164,22841784,22924914,23034215,23874058,23992173,24171200,24205224,24418317,24534191,24539125,24545356,24596907,24726280,24735438,24848799,24991644,25025298,25184319,25697007,25854207,26070815,26072898,26365084,26439099,26755180,26898946,27191692,27192600,27230877,27464987,27641058,27668959,27817065,28103739,28172347,28229015,28737394,28812970,29005440,29069425,29345919,29414891,29446950,29519615,29671536,29696770,29790658,29819816,30591675,30739799,30935020,30939136,31075899,31219387,31284978,31410080,31644466,31782316,31895979,32106216,32127820,32320906,32436898,32631120,32631999,33229708,33380478,33547293,33874818,33924967,34019458,34131874,34224095,34575564,34806528,34883310,35122252,35314107,35336340,35423538,35636124,35924015,36119493,36145919,36153979,36201634,36257501,36295784,36444765,36710010,36771815,37122024,37182827,37208864,37441807,37489119,37692096,37729707,37855426,37872874,38491816,38553384,38874416,39116891,39157344,39168699,39424138,39567039,39920146,40131298,40214764,40246210,40373266,40402252,40520607,40832757,40989215,41047787,41053420,41068914,41075259,41157634,41215114,41470719,41527750,41707707,41762277,41859972,42123319,42403608,42468076,42666095,43108818,43125099,43303293,43372557,43386625,43714487,43733718,43882999,43909179,43935599,44052012,44126178,44318599,45080799,45120859,45206380,46014207,46169439,46182604,46290859,46508434,46944159,46958159,47125807,47167319,47179624,47310285,47407839,47704059,47740546,48134956,48295452,48561394,48610425,48716907,48759820,48903095,49095165,49187058,49264104,49512874,49833300,49866207,50026665,50201746,50464304,50474098,50552615,50629407,51010107,51032098,51199314,51257639,51340831,51716620,51796430,51851120,51997119,52063950,52249666,52368176,53077077,53155520,53361776,53808639,54079180,54247656,54634299,54893212,54933819,55422117,55534880,55928866,56380907,56425659,56772342,56810092,56867231,57028780,57093095,57380699,57561154,58000904,58160347,58283291,58332510,58410466,58446625,58511784,58574145,58683714,58713815,58719039,58796620,58866207,58914198,58935719,59086779,59262357,59380539,59463688,59799960,60031998,60176170,60426439,60633484,60663138,60668680,60820354,61028613,61054474,61062207,61280619,62059944,62155716,62221344,62450668,62476740,62479088,62740415,62841499,63076219,63092319,63362338,63363058,63452859,63666274,63786624,63805864,64092556,64298829,64458370,64603271,64696594,64746799,64889265,64895016,64899874,64916687,65169979,65251017,65389407,65625346,65825757,65888619,66359707,66440620,66641856,66717772,66896649,66911047,66954399,66997879,67128095,67166907,67274955,67379199,67747691,67877039,68069239,68085151,68200780,68252265,68434536,68511298,68511714,68712815,68788959,69215216,69373420,69731125,69746194,69802747,69817437,69910876,69966907,69999012,70135950,70248605,70288974,70456578,70537659,70550425,70555944,70847687,71023976,71214429,71510379,71579679,71716780,71759952,71781597,72171106,72211404,72450191,72609199,72802416,72978514,73006893,73553266,73829959,73994900,74107618,74263659,74325647,74605119,74642380,74811680,74874268,74972088,75000706,75084364,75288498,75625899,75800914,76529452,76546225,76550015,76988853,77008834,77045919,77132891,77249125,77256898,77350044,77683259,77867118,78053739,78155176,78215746,78722619,79000427,79019794,79066258,79305019,79322559,79375437,79500359,79655019,79724779,79728744,79844407,79898380,79901973,80225026,80334047,80553714,80729946,80846907,81121834,81505707,81674445,81702879,81723899,81830434,81840936,81902718,82230220,82455378,82650607,82836274,82942279,83086210,83098415,83248104,83467707,83677350,83792607,83814465,83979767,84163140,84298326,84343599,84624095,84660510,84889199,85004615,85408107,85536699,85823266,86060136,86338018,86362012,86498079,86527954,86594984,86635906,86886220,87119408,87644607,87863074,87924573,87995621,87997759,88196407,88404639,88568759,88790015,88793880,89197666,89200271,89215240,89215247,89255840,89263265,89338219,89402096,89570856,89694837,89773570,89774016,89785307,89867818,90036799,90037559,90304544,90951820,91062191,91099707,91140465,91262351,91669378,91855470,91860018,91873066,92020665,92053307,92071053,92338107,92616199,92698950,92769279,92945131,93099970,93654117,93657215,93689259,93872607,94029095,94400615,94551874,94589111,94647196,94706157,94713472,95006674,95587210,95665691,95801314,95878056,95995707,96176319,96414465,96416799,96817653,97074058,97076139,97216496,97241770,97363199,97375867,97419357,97728095,97970559,97979168,98009334,98096015,98155376,98182492,98438696,98676264,98878880,99095739,99217807,99570268,99637420,99703452,99718098,99718210,99718319,99767794,99779125,99824807,99872680,99893115,...,1325829113267654788766664023934244862280783114641958388930962350170927422344833585710872407206147697434371695010847910218305593347702874655835003890076315851443806508917579372461463311299601769917803877439349665964456218079462377867227073379140363162523254105340383204102349861690655259388442952994238747640704942369567158105116578733731530197411755073964588474454901619390054694237990482202813677216619182047539410555131448002552871486034327025553915192455520561842319126494676759955413214052900141031711899690483130445231416661969112107761793738848696475350015606873794456906495400416317392922288416635127778494980598593361232952035776465862753153715913934717722160729350030679098085066368344472912540520021254543133159118346508588601613949734777083461595720664300262312269794798600310730940625542173935385259166180749746612094497338020327136133364341354556640784344320365969575961089184613949406945218141644238486511952881349569476601476046952054547833042221796620429173121676488015834294563760430220960212126410841786101729715065563932571983219906917951182407659456150200739421778768892201884926359354247966592387905368313939415677676965280320311190203678325568063715609245433956542336841572695318117673390182891690186890324411120250233944189291560247813022326390860482640665679840005409062610500181565308759980099194032761951482916481946978554832241870763074551320281654544784019077578399495974113659332522814283825648839601169480492443750734956685699743543210593866572648674409692692802860335976982355182676983804140115852769178660356641677045029593548952804916542648895089006503543431994776159848480515191460348640358095876198372878900605632186280698804633977185038680042791138262767876474149316094913832788640539119460163095869654737540304941520781210106470888500474859132059739374518361687270562627413931164085231761655330798928528110473579517299702820077059120796923961572573122700530658942168922293218807994929382966308065826480569606431242300876765445139529652965980584159843230949072270618987030257882856747000461112474550757093132745153777798219026053360463250402911386266955177747479004662659475876141529582957476948998683999910517336871566164848394333001569710147258792465832799585176885814886576431326151436685909368089514419919714936769583399889190437131885537239692458631159225051420225820450860952253849503663741573767217248562359817471471646449680797523177137021710631450398273351777627}
15130   472379539221912965580852584191823141975247929220170454084434672: {211694,302420,347461,362904,408267,437929,708901,799081,1116734,1148132,1696921,2018174,2054552,2311371,2587561,2594276,2676229,2778584,2853349,2916014,3125907,3195476,3471001,3558949,3734629,3910021,4124211,4395476,4695721,4909775,4947224,5129701,5302789,5410814,5565627,5648101,5668952,5734249,5816195,5891730,5941742,6025299,6284512,6335269,6377571,6547412,6762409,6785876,6979434,7017315,7070076,7172975,7175534,7187749,7357381,7442089,7485136,7656207,8227454,8285209,8308850,8420778,8536741,8550104,8607570,8620441,8985095,9100094,9181408,9190419,9287449,9400532,9618867,9795614,9867301,9970620,10315742,10329084,10361509,10363402,10635328,10689541,10702052,10782114,10797215,10934809,10940975,11585689,11696414,11719491,11764052,11828581,11964744,12553369,12633541,12790547,12835850,12854552,12956658,13129170,13460337,13510681,13536627,13614531,13645652,13748389,13780815,13827481,13951775,14004448,14231972,14461371,14599742,14623179,14699536,14770969,14804860,14877051,15285332,15394201,15403020,15755004,16207775,16243621,16429888,16536978,16624094,16742130,16791854,16802276,16932121,17008261,17084329,17710775,17765832,17841049,17858272,17991529,18235347,18272210,18483624,18545876,18660579,18814021,18888361,19090115,19238674,19332889,19449330,19627801,19701349,19848229,19951934,19982552,19986561,20090556,20214169,20446142,20513252,20578309,20692184,20745952,20794077,20939054,21085081,21149800,21179571,21205412,21252930,21266942,21388587,21635495,21666212,21731461,21756111,21806495,21926652,22011476,22214975,22356452,22442821,22480371,22572734,22669792,22908138,22930772,22936489,23217001,23278707,23339196,23793525,24077012,24101727,24546255,24807589,24996254,25012249,25148329,25213775,25284121,25379760,25503516,25716515,25796894,25962594,26018276,26025829,26092339,26167794,26182672,26293381,26559781,26641059,26657970,26814932,27052952,27071744,27154969,27220741,27483820,27679129,27756824,28092939,28325625,28431455,28435168,28442751,28516772,28521061,28552230,28585321,28806494,28841641,29195492,29455506,29603689,29918149,30214000,30256530,30434571,30455712,30566552,30681695,30727321,30859818,30907850,30973849,31042187,31131087,31157989,31226427,31239555,31300574,31341481,31609742,31758811,31989564,32241147,32273632,32481771,32488549,32557756,32795876,32904601,32956355,32980584,33131732,33140761,33154927,33322192,33367064,33443975,33492841,33579092,33680339,33734211,33842329,33989615,33990750,34015114,34073881,34117746,34262676,34387371,34472276,34533529,34669742,34763864,35101609,35252132,35270629,35494981,35718181,35811087,35877614,36106009,36256800,36307836,36478094,36490309,36599461,36818034,36854744,37089420,37103157,37194649,37274770,37462309,37471652,37487466,37537947,38097349,38202181,38358889,38413742,38668775,38673920,39030469,39109347,39127892,39234661,39262600,39285529,39437701,39547626,39562048,39592814,39727895,39886142,39990121,40132770,40159775,40287769,40348419,40787538,40788900,40972201,41282171,41356969,41434532,41461587,41537135,41634014,41713304,41972389,42437509,42527972,42758809,42808288,42895429,43106091,43219455,43435429,43508160,43509332,43902815,43921321,44156266,44170425,44507304,44545155,44612521,44685987,44729724,45035161,45166424,45369730,45409381,45614761,45822154,46100752,46180249,46378789,46402530,46408704,46457701,46511080,46691554,46753214,46886569,46927467,47085476,47115120,47154949,47193001,47231384,47344489,47466699,47514832,47606821,47673474,47726942,47938921,47975461,48003854,48114770,48159324,48191730,48481359,48593020,48655347,48691141,48693614,48865561,48946680,49038181,49379774,49496032,49511941,49545241,49578469,49607987,49677721,49789742,49844562,49971589,49985492,50003881,50070717,50227909,50256128,50268455,50306276,50322841,50479621,50502815,50750791,50812227,50848549,50909029,51029187,51197811,51316775,51404512,51416654,51583849,51863346,51975961,52003429,52030727,52085401,52209792,52224932,52324965,52459369,52485541,52683378,52717849,52756052,52969129,52993861,53004510,53085095,53135307,53155742,53332549,53454186,53519749,53565829,53588761,53589899,53634409,53724841,53791909,53814121,54027476,54138661,54284569,54302451,54443676,54466981,54546181,54669202,54758552,54767012,55050649,55065015,55085929,55172869,55294292,55357801,55534021,55549609,55610276,55626469,55656709,55683036,55686661,55813296,55830131,55846249,55983769,56043374,56108338,56139289,56482729,56507975,56538144,56553827,56582809,56666831,56693401,56727961,56783139,56785669,56801509,56809311,56861989,56890501,56924521,56931109,56956741,57032089,57090841,57103909,57116329,57128101,57131881,57162661,57217561,57222169,57223141,57227461,57228649,57228901,57332894,57478424,57500132,57716942,57728255,57737724,57830076,58311624,58545572,58734734,58736016,58834904,58974530,59136207,59880219,59994014,60107732,60168695,60196947,60322146,60369315,60493694,60559899,60563314,60603378,60866942,60949775,61352276,61559252,61580130,61603371,61736451,61822671,62145979,62291625,62524319,62592212,62789958,63080380,63210452,63605412,63702114,63926942,64167854,64393936,64645775,64663227,64813900,64955876,65460220,65482574,65582744,65600577,65685472,66078018,66189267,66444400,66488276,66545294,66662654,66702220,67247294,67480142,67505876,67598975,67809570,68013476,68059742,68265752,68385779,68616515,69273906,69329492,69418600,69762651,70003454,70679534,70769436,71012615,71238974,71285975,71610819,71744852,72202434,72236894,72330208,72443178,72475139,72501130,72842091,72845732,73114142,73139730,73245092,73495775,73780587,73896156,74197742,74269311,74329610,74749950,74947694,75234212,75302619,75696456,75711147,75770611,75791855,75796142,75835850,76111934,76229482,76548147,76636391,76798971,77574930,77694645,77776680,78015712,78063335,78081854,78095925,78098860,78184094,78226834,78244952,78292052,78374499,78488276,78552264,78782372,78967447,79016476,79174052,79733280,79757330,80042664,80115695,80884184,81118770,81371484,81416276,81574574,81707492,81740879,82059134,82339818,82746592,82787807,82874288,82961792,83050775,83302320,83397215,83491214,83585534,83893299,83951978,84123092,84427934,84603812,85048832,85064434,85158513,85215138,85250975,85543170,85651907,85731772,85885954,86133859,86341731,86519020,86526688,86716775,87001356,87185876,87240254,87388595,87416942,87498765,87615699,87709787,87767676,87851492,88025571,88030814,88194930,88371297,88551374,88779970,88855808,89195532,89272532,89555876,89645975,89699940,89830094,89838932,89986834,90047997,90264255,90950226,90994707,91003020,91230531,91246048,91348952,91581711,91718612,92050142,92493625,92608574,93081614,93089916,93233574,93302975,93332016,93514600,93592835,93626942,93676002,93715110,93718632,93855455,93858494,93942104,94050212,94074592,94921934,94939271,94952572,95043507,95044587,95347172,95439572,95499411,95661815,95679936,95708796,95897714,96138834,96281872,96392174,96687555,96822014,96863026,97044891,97069888,97342524,97349811,97457054,97693970,98353742,98438019,98692142,99018212,99473492,99660930,99815774,99872975,99962784,...,1767772151023539718355552031912326483041044152855944518574616466894569896459778114281163209608196929912495593347797213624407457796937166207780005186768421135258408678556772496615284415066135693223738503252466221285941624105949837156302764505520484216697672140453844272136466482254207012517923937325651663520939923159422877473488771644975373596549006765286117965939868825853406258983987309603751569622158909396719214073508597336737161981379102700738553589940694082456425501992902346607217618737200188042282532920644173926975222215958816143682391651798261967133354142498392609208660533888423190563051222180170371326640798124481643936047701954483670871621218579623629547639133374238797446755157792630550054026695006057510878824462011451468818599646369444615460960885733683083026393064800414307920834056231913847012221574332995482792663117360436181511152455139408854379125760487959434614785579485265875926957522192317982015937175132759302135301395936072730444056295728827238897495568650687779059418347240294613616168547789048135639620087418576762644293209223934909876879274866934319229038358522935846568479138997288789850540491085252554236902620373760414920271571100757418287478993911942056449122096927090823564520243855586915853765881493666978592252388746997084029768521147310187554239786673878750147333575420411679973465592043682601977221975929304739776322494350766068427042206059712025436771199327965484879110030419045100865119468225973989925000979942247599658057614125155430198232546256923737147114635976473576902645072186821137025571547142188902726706124731937073222056865193452008671391242659701546464640686921947131520477461168264497171867474176248374265072845302913384906723721517683690501965532421459885110384854052159280217461159539650053739922027708280141961184667299812176079652499357815583027416836551908218780309015540441065238037480631439356399603760102745494395898615430097496934040878589558563057625077326572510621744087768640759475241656401169020593519372870621307445546457641265429694158649373677177142329333948149966067676124176993538370397625368071147284333870548515022606903663305339550212634501522039443943302598664911999880689782495421553131192444002092946863011723287777066113569181086515435241768201915581212490786019226559619915692777866518920582842514049652923278174878966735226967760601147936338466004884988765022956331416479756628628861932907730030902849362280841933864364469036836}
15131   474509394531694307908993451144853007839402269534362560151919301: {15131,317541,378025,453630,483872,544356,1435165,1675101,1722198,1797733,2160301,2431261,2568190,3027261,3081828,3156109,3242845,3337321,3473230,3655894,3891414,3994345,4167876,4328821,4374021,4793214,4814029,4960333,5494345,5498948,5647774,5900581,6138781,6184030,6549494,6593214,7086190,7131421,7420836,7481341,7792741,7855640,7948741,8033732,8036041,8116221,8184265,8310733,8482345,8503428,8837595,8912613,9305912,9356420,9426768,9483433,9774589,9821118,10178814,10208276,10469151,10505881,10605114,10687630,10749901,10763301,10895702,11094061,11227704,11247733,11476760,11750665,12253892,12341181,12463275,12631167,12676393,12825156,12862094,12911355,13294160,13377565,13569961,13599454,13650141,13772112,14100798,14376152,14693421,14705065,14715349,14871838,14955930,15473613,15493626,15545103,15609961,15625988,15952992,15957814,16053078,16068190,16173171,16280941,16851614,16874413,17014261,17057065,17275544,17484733,17505560,17544621,17646078,17670301,17789965,17907529,17947116,18048836,18105661,18152708,18374420,18506075,19106665,19253775,19281828,19434987,19497572,19693755,19717321,19836068,20112718,20468478,20537360,21002845,21006672,21192638,21208741,21347958,21899613,21932221,22049304,22207290,22322840,22579381,22835401,22909838,22927998,23104530,23182345,23632506,23671333,23687776,24287221,24313796,24644832,24763033,24805467,24863509,24880772,24936141,24978190,25113195,25187781,25203414,25641565,25777321,25865230,25932440,26437250,26506765,26648748,26745733,26787408,26817901,27082765,27408315,27514345,27725436,27818814,27945565,28239428,28337240,28444141,28518116,28663465,28858011,28994953,29008148,29156918,29173995,29196181,29235536,29743549,29927901,29973828,30096265,30135834,30196318,30418381,30544184,30669213,30769878,30948829,31038276,31118928,31365829,31408581,31724700,31808118,31879395,31900413,32135636,32247901,32338141,32458621,32499318,32522845,32728340,32889978,33017214,33367141,33367774,33518665,33534678,33816190,33839680,33859101,34004688,34354775,34362207,34396158,34549934,34616792,34696030,34763053,34890392,35008794,35521412,35543960,35645965,36115518,36359989,36494365,36499141,36542341,36699214,37442221,37457252,37494381,37510429,37767500,37923668,38069640,38155381,38208190,38255274,38638741,38695341,38748553,38943891,39027414,39251691,39274008,39444229,39520621,39920233,39986955,40204814,40222398,40338158,40342040,40579428,40607616,40697195,40994845,41034478,41053309,41146424,41225730,41327461,41414665,41429221,41508116,41575478,41635236,41652740,41708830,41973865,42434533,42652752,42775158,42828345,42988196,43090345,43209741,43309028,43454830,43793238,43943341,43944109,43974112,44065165,44183259,44945881,44978948,45123062,45226621,45321000,45384795,45490328,45683568,45846901,45849828,46068430,46229053,46289727,46361775,46839565,46950861,47288533,47414613,47748116,47787421,47855893,47913733,47984346,48342400,48410448,48454981,48511021,48549961,48836634,48909865,49068382,49078250,49090712,49104493,49193814,49452560,49470876,49697598,49983288,50023501,50050596,50098381,50293621,50368638,50986125,51022671,51176619,51394014,51480541,51708414,51793165,51945661,52004613,52141630,52145796,52260253,52730168,52878198,53159965,53510360,53797892,53816421,53988061,54383384,54385200,54386665,54461754,54717141,54800581,54929974,55227051,55282116,55337918,55634130,55912155,56207478,56231199,56344694,56451781,56458030,56705869,57340261,57384901,57448933,57474788,57620613,57625940,58010880,58138850,58691838,58829782,58856845,58893900,59039230,59321439,59343072,59389221,59393540,59557861,59581316,59639632,59732533,59829213,60199155,60506941,60741275,60789109,61181307,61183350,61455229,61462693,61479598,61870040,61878272,62086981,62151798,62438774,62451021,62481865,62569956,62820160,62882845,63033949,63288932,63564632,63791958,64212432,64255640,64295341,64641812,64873796,65262240,65263998,65281165,65470429,65730421,65869333,65945065,66234399,66398821,66459416,66631981,66760956,67094586,67534345,67749636,67849934,68038916,68054595,68071069,68263748,68381701,68448190,68458765,68464333,68733231,68880253,69058669,69117865,69151128,69512845,69603795,69613056,69766620,70037331,70129821,70244504,70616653,70628214,70672680,70773661,70847076,71124301,71272248,71351941,71510211,71590413,71848030,71875165,72005781,72172155,72238986,72287595,72291838,72295141,72307958,72403268,72515002,72591568,72889530,73040421,73181965,73420020,73543630,73823401,74069661,74244048,74365654,74417728,74648101,74684613,74766843,74883614,74898793,74978238,75134665,75272461,75384192,75459414,75710852,75745748,75817033,75862573,76690345,76719721,76949065,76983632,77106768,77124981,77465293,77748832,77795019,78233782,78240265,78314688,78337398,78367693,78388981,78675733,78848276,78850475,79011229,79013065,79025067,79134078,79182709,79506765,79733613,79741033,79840292,79930333,80065453,80181279,80254669,80262596,80429528,80492420,80746532,80804504,81017375,81041214,81194845,81665514,81734893,81825275,81978430,82003803,82095574,82106840,82137828,82150518,82199341,82315268,82407781,82430228,82941438,83055500,83110345,83183941,83377775,83415414,83524554,83719944,84065061,84162507,84246638,84252781,84382345,84807216,84936152,85016845,85205749,85332190,85622953,85999341,86217636,86250198,86475913,86575413,86606586,86661865,86745114,86773250,87110533,87428974,87467436,87765998,87784261,87818358,87836581,87839401,87871198,88076341,88102101,88104024,88252356,88461795,88637198,89227501,89278333,89681065,89991021,90151501,90161598,90241718,90412760,90483219,90740541,90844971,90905067,90966613,91057165,91074709,91118029,91157053,91300413,91382269,91556365,92006533,92028414,92224009,92304421,92338878,92365208,92370195,92487349,92581718,93016868,93364141,93472681,93839581,93888318,93916318,93979333,94042765,94184937,94251614,94334638,94359248,94488301,94620570,94815678,95408118,95481092,95553171,95714173,95826901,95890413,95913541,95985109,96197941,96222493,96243733,96251781,96269912,96590904,97122788,97220850,97253593,97433814,97519640,97623575,97806190,97865065,98110345,98151733,98190330,98223861,98348047,98374116,98431861,98477965,98528208,98770595,98967565,98988613,99025748,99117027,99325033,99666600,99732414,99817941,99993981,...,2651658226535309577533328047868489724561566229283916777861924700341854844689667171421744814412295394868743390021695820436611186695405749311670007780152631702887613017835158744922926622599203539835607754878699331928912436158924755734454146758280726325046508210680766408204699723381310518776885905988477495281409884739134316210233157467463060394823510147929176948909803238780109388475980964405627354433238364095078821110262896005105742972068654051107830384911041123684638252989353519910826428105800282063423799380966260890462833323938224215523587477697392950700031213747588913812990800832634785844576833270255556989961197186722465904071552931725506307431827869435444321458700061358196170132736688945825081040042509086266318236693017177203227899469554166923191441328600524624539589597200621461881251084347870770518332361499493224188994676040654272266728682709113281568688640731939151922178369227898813890436283288476973023905762699138953202952093904109095666084443593240858346243352976031668589127520860441920424252821683572203459430131127865143966439813835902364815318912300401478843557537784403769852718708495933184775810736627878831355353930560640622380407356651136127431218490867913084673683145390636235346780365783380373780648822240500467888378583120495626044652781720965281331359680010818125221000363130617519960198388065523902965832963893957109664483741526149102640563309089568038155156798991948227318665045628567651297679202338960984887501469913371399487086421187733145297348819385385605720671953964710365353967608280231705538357320713283354090059187097905609833085297790178013007086863989552319696961030382920697280716191752396745757801211264372561397609267954370077360085582276525535752948298632189827665577281078238920326191739309475080609883041562420212941777000949718264119478749036723374541125254827862328170463523310661597857056220947159034599405640154118241593847923145146245401061317884337844586437615989858765932616131652961139212862484601753530890279059305931961168319686461898144541237974060515765713494000922224949101514186265490307555596438052106720926500805822772533910355494958009325318951752283059165914953897997367999821034673743132329696788666003139420294517584931665599170353771629773152862652302873371818736179028839839429873539166799778380874263771074479384917262318450102840451640901721904507699007327483147534434497124719634942943292899361595046354274043421262900796546703555254}
15132   476648776054708891324571932201682359670976267689572056116992675: {166331,423388,468131,604840,618731,680445,694922,725808,816534,875858,889307,1069331,1189187,1417802,1518131,1598162,2232467,2233468,2296264,2439947,2583297,2706131,2883227,3393842,3588731,3852285,3910547,4036348,4109104,4173131,4609331,4622742,5159267,5175122,5188552,5209845,5216987,5352458,5483841,5505107,5557168,5591387,5706698,5832028,5837121,5907131,6021707,6164747,6251814,6364667,6390952,6592667,6791747,6873685,6942002,7018787,7117898,7189821,7301867,7358387,7469258,7820042,7893731,8142673,8248422,8286347,8314331,8471661,8705267,8790952,8900147,9276045,9316427,9391442,9454787,9819550,9824241,9868667,9889821,9894448,10042165,10116131,10225907,10259402,10605578,10629285,10691027,10821628,11131254,11296202,11337904,11468498,11587307,11614331,11632390,11695525,11783460,11857187,11883484,11991827,12050598,12555131,12569024,12579133,12581867,12670538,12755142,12760345,12955331,13094824,13524818,13571752,13908467,13958868,14034630,14140152,14345950,14351068,14375498,14714762,14731677,14773067,14799131,14884178,14929331,14970272,15116101,15268221,15312414,15317365,15473987,15732107,15907671,16031445,16343553,16454908,16570418,16617700,16731131,16841556,17073482,17086787,17100208,17112131,17215140,17240882,17339867,17466107,17868731,17970190,17994131,18019187,18200188,18362816,18380838,18574898,18801064,18891107,18990131,19237734,19293141,19335707,19507907,19532485,19591228,19704227,19734602,19851131,19875587,19941240,20241467,20399181,20435867,20631484,20658168,20723018,20726804,21151197,21270656,21379082,21400187,21404104,21564228,21594430,21758507,21869618,21877547,21881950,22307757,22398947,22433895,22469747,22561045,22690885,22968025,23080331,23171378,23220467,23240439,23392828,23438982,23528104,23657162,23929488,23936721,24009131,24079617,24102285,24262307,24371965,24795085,24834107,25106738,25267082,25277421,25287947,25581094,25671700,25693667,25709104,25913316,25962707,26258340,26386331,26469117,26585987,26696627,26726161,26920674,27021362,27027347,27073254,27181067,27229062,27246827,27291304,27356267,27496778,27561630,27654962,27683387,27705131,27903550,27943787,28008896,28224587,28463944,28589747,28675331,28867427,28910027,28922742,29199484,29246358,29399072,29541938,29608307,29609720,29629331,29754102,29860067,29943731,30048131,30169077,30289693,30392245,30443027,30484427,30529093,30570664,30670331,30702717,30788402,30806040,31100965,31305707,31510008,31788957,31792331,31893131,32013827,32021937,32074067,32374187,32415550,32487242,32493731,32513627,32791331,32859776,33073956,33165707,33248188,33310935,33484260,33556667,33583708,33604552,33673331,33750947,33864242,33867131,33963731,34016522,34079387,34168658,34364757,34391997,34424627,34558187,34656795,34694209,34937627,35013131,35276387,35299285,35421550,35448759,35531664,35647645,35682098,35716544,35983058,36003121,36111947,36130331,36260185,36470694,36544420,36569147,36605507,36686221,36949331,36967248,37091752,37147067,37200827,37321158,37467285,37486331,37628042,37776722,37805121,37857947,38103731,38180230,38260907,38434787,38477348,38665778,38797845,38898660,39037067,39054131,39207347,39255602,39309131,39402698,39410627,39655875,39696458,39797027,39804037,39903868,39965104,39973122,39996947,40162667,40169545,40181112,40428338,40703867,40801331,40892284,40910425,41026504,41027627,41156618,41364131,41380067,41384368,41491904,41588154,41618147,41728221,41854427,41878108,42170162,42299600,42359142,42367907,42410824,42505860,42533884,42552467,42598427,42777174,42902987,42954373,43084187,43219331,43270990,43309067,43332424,43457987,43462922,43512222,43612990,43665131,43724027,43735377,43853304,43943747,44022952,44401765,44429950,44535131,44620547,44663147,44712904,44875067,44885642,44960742,45043307,45145468,45203751,45294477,45339584,45431387,45500027,45595787,45636707,45816276,45861544,45872978,46108787,46138897,46154817,46188731,46202027,46387331,46400507,46434002,46557414,46678392,46821565,47209375,47277707,47353331,47365907,47404585,47478731,47585461,47587050,47712177,47727131,47801027,47960147,48154024,48203454,48464987,48748977,48874907,48909587,49047587,49092510,49218467,49334967,49525821,49532627,49588067,49599131,49615178,49764131,49927331,49992508,50024498,50051661,50078027,50184707,50296658,50302017,50406131,50427550,50499947,50520707,50568242,50624027,50654867,50724285,50759520,50767331,50858627,51007032,51433030,51593788,51594237,51688907,51792131,51824901,51885145,51925188,51931331,51986507,52023131,52036552,52044045,52051658,52065925,52123187,52184678,52335588,52338131,52365344,52513191,52522427,52548467,52586762,52608947,52737227,52855331,52905467,52980131,52988387,53054147,53103131,53119562,53282118,53304131,53315940,53538731,53584787,53607707,53629864,53645747,53735245,53736227,53766131,53803331,53913731,54065267,54093731,54105904,54136285,54143488,54171347,54173277,54199331,54261827,54296267,54303131,54309938,54441482,54544907,54732131,54881987,54967640,55015307,55048821,55062827,55068731,55156331,55185131,55190867,55275947,55358258,55375667,55386587,55513648,55562147,55567331,55619053,55644131,55669331,55714187,55772987,55835387,56001131,56040947,56088731,56185878,56214131,56223685,56250347,56347547,56475227,56496131,56499587,56509907,56599547,56624987,56651250,56662187,56718731,56750147,56758547,56799467,56815331,56862910,56870336,56878331,56885502,56890331,56966627,56970827,57007187,57033544,57042122,57046331,57104460,57119747,57146387,57170642,57178307,57226667,57231131,57232907,57238427,57242987,57243731,57244067,57244307,57312285,57382911,57612988,57683282,58151989,58390984,58541121,58627621,58911012,59207378,59685145,59836298,59894593,60307221,60333597,60428000,60507237,60513060,60869142,60911424,61133104,61363390,61454642,61463941,61551717,61719636,61815700,61838595,61947698,62084374,62262174,62315978,62363217,62452854,62479110,62563245,62601148,62682962,63219484,63333517,63517622,63979128,64162737,64482294,64547264,64963542,64977098,65115512,65182245,65591752,65689857,65809202,65912710,65961168,66263464,66281522,66309854,66644384,66734128,66836341,66887950,66985682,67158184,67247365,67360678,67468422,67481821,67684593,67684658,67979230,67981500,68030228,68147762,68235492,68525352,68774742,68944552,69067058,69102645,69339484,69527728,70203218,70375837,70504264,70541258,70703941,70989962,71436362,71622174,71755228,71843485,71976519,72032425,72212018,72513600,72615672,72956188,72980618,73198922,73254951,73602573,73617375,73636068,73709488,73790721,73892377,74178840,74206314,74241925,74319133,74389298,74476645,74546397,74549540,74924618,74943304,74974932,75075894,75552957,76194698,76404362,76717778,76827484,77091021,77337550,77347840,77562621,78060938,78212445,78218694,78255784,78469322,78525200,78571058,78875402,79095252,79111165,79124096,79185628,79317297,79455790,79772284,79980242,80265540,80319550,80575538,80696838,80802265,80819557,81092245,81575076,81577800,81692631,81944402,82394961,82564342,82713938,82869064,82923174,83006877,83074270,83268028,83426608,83451195,83944778,84236173,84311217,84517041,84687045,84875018,85048645,85055944,85329685,85517618,85616576,85652437,85790858,86212182,86438910,86870858,87016320,87018664,87208275,87378181,87805630,87842642,88037757,88244673,88312532,88340850,88558845,89014608,89090310,89225042,89371974,89459448,90070322,90332848,90504085,90739460,90818762,91229522,91357453,91644308,91775025,92201504,92219397,92360498,92527549,92757578,92805060,92817408,92915402,93022160,93227697,93383108,93506428,93658161,93773138,93854934,94170952,94230240,94309898,94386002,94462768,94638565,94682185,94688978,94933398,95029664,95213642,95346948,95453884,95687937,95877842,95950922,96007708,96063121,96229540,96318648,96383460,96602857,96962718,97186040,97310694,97382282,97387228,97731122,97893360,97895997,98076362,98560345,98759548,98992064,99023882,99090482,99156938,99215974,99355442,99417661,99579484,99689124,99800365,99943178,99970984,...,3977487339802964366299992071802734586842349343925875166792887050512782267034500757132617221618443092303115085032543730654916780043108623967505011670228947554331419526752738117384389933898805309753411632318048997893368654238387133601681220137421089487569762316021149612307049585071965778165328858982716242922114827108701474315349736201194590592235265221893765423364704858170164082713971446608441031649857546142618231665394344007658614458102981076661745577366561685526957379484030279866239642158700423095135699071449391335694249985907336323285381216546089426050046820621383370719486201248952178766865249905383335484941795780083698856107329397588259461147741804153166482188050092037294255199105033418737621560063763629399477355039525765804841849204331250384787161992900786936809384395800932192821876626521806155777498542249239836283492014060981408400093024063669922353032961097908727883267553841848220835654424932715459535858644048708429804428140856163643499126665389861287519365029464047502883691281290662880636379232525358305189145196691797715949659720753853547222978368450602218265336306676605654779078062743899777163716104941818247033030895840960933570611034976704191146827736301869627010524718085954353020170548675070560670973233360750701832567874680743439066979172581447921997039520016227187831500544695926279940297582098285854448749445840935664496725612289223653960844963634352057232735198487922340977997568442851476946518803508441477331252204870057099230629631781599717946023229078078408581007930947065548030951412420347558307535981069925031135088780646858414749627946685267019510630295984328479545441545574381045921074287628595118636701816896558842096413901931555116040128373414788303629422447948284741498365921617358380489287608964212620914824562343630319412665501424577396179218123555085061811687882241793492255695284965992396785584331420738551899108460231177362390771884717719368101591976826506766879656423984788148898924197479441708819293726902630296335418588958897941752479529692847216811856961090773648570241001383337423652271279398235461333394657078160081389751208734158800865533242437013987978427628424588748872430846996051999731552010614698494545182999004709130441776377397498398755530657444659729293978454310057728104268543259759144810308750199667571311395656611719077375893477675154260677461352582856761548510991224721301651745687079452414414939349042392569531411065131894351194820055332881}
15133   478797726057603859045285431060071017416220644026189498073344470: {30262,529235,635082,756050,907260,967744,1042383,1088712,1224801,1313787,2009231,2126703,2397243,2553083,2791835,2870330,3350202,3444396,3595466,3729947,4320602,4539983,4862522,5045435,5090763,5136380,5146031,5592083,5689307,6054522,6163656,6312218,6485690,6594767,6674642,6934113,6946460,7254923,7290035,7311788,7692083,7762683,7782828,7988690,8028687,8335752,8428043,8560047,8657642,8748042,8883887,9209603,9377721,9586428,9628058,9920666,10105931,10413003,10599131,10676847,10988690,10997896,11018363,11203887,11295548,11457971,11551787,11730063,11741867,11801162,11875283,12277562,12368060,12372633,12827123,13098988,13111163,13186428,13527035,13550627,14087163,14172380,14262842,14729325,14841672,14854355,14962682,15166427,15389103,15585482,15711280,15897482,15908367,16067464,16072082,16232442,16368530,16450931,16621466,16696881,16944303,16964690,17006856,17202747,17390867,17446427,17448585,17675190,17825226,17938835,18000587,18075897,18611824,18712840,18728591,18781067,18853536,18966866,19005807,19132713,19142531,19549178,19642236,20107763,20287227,20357628,20416552,20568635,20587091,20772125,20883083,20938302,21011762,21051945,21210228,21375260,21499802,21518925,21526602,21563247,21791404,22072143,22188122,22326267,22455408,22495466,22750235,22909007,22953520,22968621,23501330,23703887,23879891,23949323,24489035,24507784,24682362,24855627,24905951,24926550,25262334,25352786,25610223,25650312,25724188,25789355,25822710,25861323,25908505,26287763,26588320,26684723,26749331,26755130,26955285,27139922,27198908,27300282,27311327,27544224,27571257,27676331,27862347,28201596,28752304,28809947,28856601,29241035,29384147,29386842,29403983,29410130,29430698,29601903,29743676,29911860,30947226,30987252,31084527,31090206,31219922,31251976,31693883,31694267,31820627,31905984,31915628,32068623,32089625,32106156,32136380,32346342,32391645,32455283,32561882,32666447,32804427,32822925,33083231,33494003,33615803,33703228,33748826,34028522,34114130,34551088,34757067,34969466,35011120,35089242,35151467,35158473,35292156,35340602,35485743,35579930,35815058,35894232,35898191,36097672,36211322,36305416,36499355,36748840,37012150,37068707,37109471,37292687,37592531,37660107,37900623,37915871,38133647,38213330,38217803,38371641,38507550,38520083,38563656,38869974,38995144,39123791,39387510,39434642,39672136,40128851,40225436,40381011,40532043,40609881,40843593,40936956,41074720,41245167,41342445,41420867,41482443,41560235,41855325,41979635,42005690,42013344,42134771,42385276,42417482,42695916,43186403,43384113,43765343,43799226,43864442,43869537,43894691,44098608,44270831,44312907,44330507,44414580,44616731,44631153,44645680,45092723,45158762,45531983,45670802,45680525,45819676,45855996,46104923,46182603,46209060,46303247,46364690,46615907,46926131,47138363,47265012,47342666,47375552,47426831,48096685,48517547,48574442,48623325,48627107,48627592,48730863,48962363,49289664,49526066,49610934,49727018,49761544,49872282,49879835,49904351,49956380,50226390,50375562,50406828,50796363,51024783,51092111,51115355,51252987,51283130,51509603,51554642,51730460,51864880,51933947,52347635,52874500,53013530,53132325,53167355,53297496,53311163,53449643,53491466,53523147,53574816,53635802,53974587,54031787,54155567,54165530,54706041,54816630,55028690,55450872,55637628,55891130,55981737,56036303,56431835,56442063,56476043,56478856,56665083,56674480,56888282,56976073,57036232,57270345,57326930,57392783,57716022,57955091,57980531,57989906,57998667,58016296,58313836,58347990,58392362,58471072,58763411,58883403,59104047,59118683,59487098,59544687,59855802,59947656,59959683,60192530,60271668,60326483,60392636,60642507,60836762,61088368,61338426,61539756,61691231,61734927,61897658,62076552,62149427,62237856,62382231,62490635,62643923,62731658,62817162,63093167,63255243,63449400,63538713,63616236,63758790,63800826,64165761,64207631,64271272,64492235,64495802,64676282,64764323,64906485,64917242,64998636,65045690,65194383,65268333,65419485,65456680,65575391,65779956,66034428,66193787,66644925,66734282,66735548,66959027,67016027,67037330,67069356,67328463,67441113,67632380,67679360,67718202,67765763,68009376,68053691,68473811,68709550,68724414,68792316,68809467,68936783,69099868,69233584,69392060,69526106,69651003,69780784,69836121,69985631,70017588,70339331,70386563,70904207,71042824,71087920,71291930,71380575,71508203,72016235,72231036,72305181,72510431,72532703,72628907,72719978,72988730,72998282,73084682,73375523,73398428,73638765,74210447,74422767,74423951,74494667,74884442,74914504,74988762,75020858,75036747,75444987,75486767,75535000,75641325,75847336,75852363,75985403,76139280,76141331,76310762,76355423,76416380,76426607,76510548,76923851,77027603,77149545,77269625,77277482,77390682,77497106,77887782,78054828,78077487,78251435,78277017,78330827,78503382,78548016,78880143,78888458,79024355,79041242,79679343,79746287,79840466,79923177,79973910,80064227,80409628,80444796,80447627,80676316,80684080,81158856,81215232,81342707,81394390,81464907,81662223,81989690,82068956,82106618,82292848,82399583,82402811,82418867,82451460,82508507,82654922,82807727,82829330,82858442,83016232,83037387,83150956,83270472,83305480,83320463,83417660,83947730,84039647,84278817,84668891,84869066,84976875,85037785,85294365,85305504,85328253,85550316,85563183,85656690,85755963,85976392,86180690,86419482,86524923,86618056,86674355,86780651,86909660,87474611,87586476,87612611,87886682,87888218,87948224,88035983,88130330,88220483,88366518,88811067,88958363,89122331,89362127,89694035,89754447,89891762,89957896,90246124,90453242,90642000,90769590,90980656,91195235,91303713,91367136,91393631,91394831,91693802,91699656,92045085,92136860,92181963,92246291,92323091,92458106,92579454,92641523,92723550,92921547,92970287,93126561,93186925,93376907,93393261,93473967,93679130,93679281,93718665,93901722,94024443,94050227,94548083,94577066,94829226,94846427,94950491,95276433,95496232,95522123,95574842,95711786,95827466,95842271,95968692,96034355,96508943,96684800,96723441,96765011,96820896,96909962,96998927,97022042,97099922,97283531,97317983,97358831,97402031,97445313,97465647,97648751,97673268,97819730,98136764,98156500,98181424,98208986,98387628,98713803,98750927,98869065,98905120,98941752,98982035,99395196,99422283,99464781,99715355,99770507,99966576,...,5303316453070619155066656095736979449123132458567833555723849400683709689379334342843489628824590789737486780043391640873222373390811498623340015560305263405775226035670317489845853245198407079671215509757398663857824872317849511468908293516561452650093016421361532816409399446762621037553771811976954990562819769478268632420466314934926120789647020295858353897819606477560218776951961928811254708866476728190157642220525792010211485944137308102215660769822082247369276505978707039821652856211600564126847598761932521780925666647876448431047174955394785901400062427495177827625981601665269571689153666540511113979922394373444931808143105863451012614863655738870888642917400122716392340265473377891650162080085018172532636473386034354406455798939108333846382882657201049249079179194401242923762502168695741541036664722998986448377989352081308544533457365418226563137377281463878303844356738455797627780872566576953946047811525398277906405904187808218191332168887186481716692486705952063337178255041720883840848505643367144406918860262255730287932879627671804729630637824600802957687115075568807539705437416991866369551621473255757662710707861121281244760814713302272254862436981735826169347366290781272470693560731566760747561297644481000935776757166240991252089305563441930562662719360021636250442000726261235039920396776131047805931665927787914219328967483052298205281126618179136076310313597983896454637330091257135302595358404677921969775002939826742798974172842375466290594697638770771211441343907929420730707935216560463411076714641426566708180118374195811219666170595580356026014173727979104639393922060765841394561432383504793491515602422528745122795218535908740154720171164553051071505896597264379655331154562156477840652383478618950161219766083124840425883554001899436528238957498073446749082250509655724656340927046621323195714112441894318069198811280308236483187695846290292490802122635768675689172875231979717531865232263305922278425724969203507061780558118611863922336639372923796289082475948121031531426988001844449898203028372530980615111192876104213441853001611645545067820710989916018650637903504566118331829907795994735999642069347486264659393577332006278840589035169863331198340707543259546305725304605746743637472358057679678859747078333599556761748527542148958769834524636900205680903281803443809015398014654966295068868994249439269885886585798723190092708548086842525801593093407110508}
15134   480956286993054609645904365811090149460901823277223997668145131: {45393,196573,332662,648913,846776,919453,936262,952623,1099453,1134075,1209680,1237462,1360890,1389844,1451616,1548193,1633068,1751716,1778614,2138662,2262433,2378374,2835604,3036262,3148753,3196324,4202833,4305495,4464934,4466936,4551889,4592528,4638973,4879894,4986589,5025303,5166594,5393199,5412262,5419489,5766454,5850589,6194173,6420475,6480903,6787684,7177462,7293783,7704570,7821094,7894813,8072696,8218208,8315473,8346262,8399389,8683075,8734333,9081783,9139735,9151393,9218662,9245484,9468327,9623159,9728535,9732253,10011963,10318534,10350244,10377104,10419690,10433974,10473889,10555933,10704916,10967682,11010214,11114336,11182774,11291089,11413396,11615953,11664056,11674242,11814262,11983035,12043414,12181693,12329494,12503628,12583633,12729334,12781904,12986463,13122063,13185334,13302589,13583494,13747370,13884004,14015713,14037574,14059031,14119435,14235796,14379642,14442087,14603734,14716774,14801233,14880999,14938516,14957473,15460075,15640084,15734353,15787462,16285346,16350673,16373735,16483035,16496844,16572694,16628662,16733533,16886173,16943322,17114593,17410534,17581904,17701743,17715475,17800294,17864483,18021793,18321889,18416343,18552090,18632854,18782884,18909574,19510753,19639100,19648482,19737334,19779642,19788896,19805089,19878493,20084330,20099431,20232262,20451814,20518804,20970913,21211156,21258570,21259489,21382054,21394263,21444311,21618589,21643256,21904573,22262508,22331389,22444023,22592404,22675808,22755613,22936996,23107153,23174614,23228662,23264780,23378223,23391050,23456893,23566920,23714374,23766968,23846223,23983654,24101196,24108123,24348663,24552795,24769489,24932199,25110262,25138048,25158266,25163734,25341076,25447035,25510284,25520690,25720033,25910662,26123089,26189648,26512785,26719075,26737839,27049636,27143504,27239255,27345479,27709393,27816934,27917736,28034653,28069260,28280304,28450299,28691900,28702136,28750996,29317693,29323767,29429524,29444413,29463354,29546134,29598262,29633953,29768356,29858662,29940544,30232202,30261073,30323389,30536442,30624828,30634730,30942589,30947974,31407453,31464214,31517643,31585463,31767239,31797373,31815342,32062890,32099233,32155235,32159389,32249703,32289903,32518813,32687106,32756989,32909816,33053089,33140836,33235400,33282183,33347389,33406033,33462262,33683112,33698173,33743199,33998635,34120751,34146964,34173574,34200416,34224262,34430280,34449313,34481764,34679734,34713119,34848733,34932214,35075389,35251995,35737462,35940380,35988262,36038374,36136273,36400376,36725632,36738589,36761676,36955453,37023543,37149796,37179595,37389825,37602128,37782214,37864273,37893501,37980262,38022493,38029179,38475468,38586282,38671414,38734065,38803873,39015814,39060733,39064970,39111889,39162973,39182456,39408454,39469204,39702262,39751174,39820513,39882480,39894535,40132695,40169533,40170475,40367389,40482934,40709883,40798362,40856989,40871734,40950423,41002247,41050813,41099089,41262968,41316336,41387233,41446036,41453608,41577889,41767393,41814589,41861713,42129035,42236113,42282589,42302394,42541312,42549143,42758164,42800374,42808208,43128456,43188860,43241953,43356443,43421089,43517014,43541351,43643389,43739236,43755094,43763900,44080263,44115195,44146047,44557393,44615514,44685373,44797894,44867790,44897233,44939494,45122090,45381770,45767389,45936050,46130593,46160662,46210513,46342756,46409053,46420839,46440934,46480878,46566589,46635309,46785656,46829883,46877964,46993873,47056208,47314324,47374753,47525089,47748433,47858976,47873442,47895889,48018262,48159234,48204570,48259489,48474193,48519513,48524614,48580573,48743930,48791389,48842823,49418999,49590170,49608733,49668214,49674973,49773793,49906703,49937053,50213476,50281795,50447389,50534164,50554842,50575894,50623239,50634013,50764259,50787553,51042783,51162188,51171195,51343400,51387334,51418208,51499489,51783889,51811933,51826632,51925414,52223953,52331089,52454199,52516680,52619773,52633863,52722589,52772662,52926247,52938234,52981595,52999393,53010903,53073373,53171974,53369895,53393254,53452322,53480353,53722587,53777533,53841348,53910589,53932513,54042724,54054694,54105313,54146508,54314833,54316983,54335389,54362134,54458124,54493654,54582608,54654493,54712534,54825889,54936913,54993556,55009489,55080913,55123260,55168573,55203133,55288273,55309924,55366774,55410262,55420753,55517089,55518225,55579873,55807100,55833853,55887574,55890589,55946173,55959889,56017792,56231293,56237363,56267473,56337889,56449174,56460253,56492113,56512993,56641693,56705953,56732413,56775073,56899489,56927888,57129889,57179494,57229213,57235153,57236989,57259453,57274595,57319995,57350662,57734854,57761325,57820054,57845484,58304961,58398968,58492716,58798144,59081265,59083876,59151963,59216614,59219440,59258662,59508204,59720134,59887462,60096262,60338154,60579386,60784490,60886054,60968854,61058186,61141328,61340662,61405434,61576804,61612080,62162471,62201930,62445475,62611414,63008535,63020016,63577914,63584662,63626223,63786262,64027654,64043874,64148134,64663075,64748374,64831100,64871983,64974484,64987462,65027254,65550191,65582662,65698839,65719552,65796663,66093125,66147912,66331414,66366419,66496376,66621870,66968520,67113334,67167416,67209104,67346662,67501894,67728484,67734262,67738143,67927462,68033044,68158774,68337316,68506203,68729514,68783994,68849254,69116374,69313590,69388418,69547035,69875254,70026262,70552774,70598570,70784519,70843100,70897518,71013999,71063328,71295290,71364196,71433088,71966116,72006242,72223894,72260662,72520370,72639203,72861663,72892295,72941388,73088840,73138294,73211014,73372442,73898662,73934496,74102779,74183504,74289099,74294134,74401654,74416401,74590527,74642316,74808423,74934570,74972662,75229343,75256084,75339585,75490795,75553444,75563343,75610242,75715894,75790799,76207462,76360460,76521814,76869574,76924695,76954696,77331556,77331963,77595690,77797320,78074134,78108262,78414694,78511204,78618262,78713159,78805396,78821254,78988403,79311750,79392916,79520295,79594054,79608074,79751243,79807736,79930208,79946244,79993894,80237199,80325334,80339090,80362224,80453703,80856676,81248295,81407734,81602662,81762571,81784568,81820850,82053008,82055254,82224945,82313236,82543035,82728262,82760134,82768736,82983808,83176308,83236294,83419435,83456442,83559203,83708854,83756216,83836695,84340324,84540475,84599200,84718284,84735814,84821648,85011720,85067768,85104934,85196854,85332423,85554348,85805974,85908746,85990395,86168374,86374835,86438662,86541980,86574033,86618134,86664848,86740075,86915974,86925844,86984859,87024444,87225980,87330262,87448054,87470754,87521985,87588543,87706608,87733063,87887494,88045904,88803530,88859900,89070262,89230647,89241094,89326294,89425808,89750134,89771284,89783703,89921484,90086614,90288795,90290936,90407502,90588954,90679168,90862774,91000054,91191574,91255143,91273414,91632552,91723088,91745956,91748035,92007639,92217574,92277794,92309634,92377462,92404054,92774662,92801014,92846487,92868004,93114828,93356784,93643130,94097487,94146311,94225743,94418750,94555414,94706662,94731814,94809170,94957462,95170922,95174100,95424354,95454262,95520475,95602054,95638185,95701239,95920294,96308048,96406908,96743703,96929974,97014423,97375863,97497954,97568535,97657967,97749814,97819174,98095174,98185020,98436934,98669934,99051642,99065254,99176134,99198262,99230356,99528262,99854662,99985016,...,7954974679605928732599984143605469173684698687851750333585774101025564534069001514265234443236886184606230170065087461309833560086217247935010023340457895108662839053505476234768779867797610619506823264636097995786737308476774267203362440274842178975139524632042299224614099170143931556330657717965432485844229654217402948630699472402389181184470530443787530846729409716340328165427942893216882063299715092285236463330788688015317228916205962153323491154733123371053914758968060559732479284317400846190271398142898782671388499971814672646570762433092178852100093641242766741438972402497904357533730499810766670969883591560167397712214658795176518922295483608306332964376100184074588510398210066837475243120127527258798954710079051531609683698408662500769574323985801573873618768791601864385643753253043612311554997084498479672566984028121962816800186048127339844706065922195817455766535107683696441671308849865430919071717288097416859608856281712327286998253330779722575038730058928095005767382562581325761272758465050716610378290393383595431899319441507707094445956736901204436530672613353211309558156125487799554327432209883636494066061791681921867141222069953408382293655472603739254021049436171908706040341097350141121341946466721501403665135749361486878133958345162895843994079040032454375663001089391852559880595164196571708897498891681871328993451224578447307921689927268704114465470396975844681955995136885702953893037607016882954662504409740114198461259263563199435892046458156156817162015861894131096061902824840695116615071962139850062270177561293716829499255893370534039021260591968656959090883091148762091842148575257190237273403633793117684192827803863110232080256746829576607258844895896569482996731843234716760978575217928425241829649124687260638825331002849154792358436247110170123623375764483586984511390569931984793571168662841477103798216920462354724781543769435438736203183953653013533759312847969576297797848394958883417638587453805260592670837177917795883504959059385694433623713922181547297140482002766674847304542558796470922666789314156320162779502417468317601731066484874027975956855256849177497744861693992103999463104021229396989090365998009418260883552754794996797511061314889319458587956908620115456208537086519518289620617500399335142622791313223438154751786955350308521354922705165713523097021982449442603303491374158904828829878698084785139062822130263788702389640110665762}
15135   483124501500576991743145993654795579621955107261131492621541626: {60524,498993,740929,1058470,1270164,1404393,1512100,1737305,1814520,1856193,1935488,2041335,2084766,2177424,2189645,2449602,2627574,2667921,2825009,3207993,3544505,3567561,3820553,3908569,3995405,4018462,4253406,4364189,4554393,4794486,5106166,5583670,5740660,6081673,6697401,6700404,6802433,6888792,7063609,7190932,7319841,7459894,7749891,7794809,8118393,8484605,8641204,8649681,9079966,9725044,10060361,10090870,10181526,10206049,10272760,10292062,10508669,10766193,11184166,11378614,11556855,11731641,11756393,11943373,12109044,12314641,12327312,12519393,12624436,12679757,12937805,12971380,13189534,13349284,13381145,13827993,13868226,13892920,14266745,14485153,14509846,14580070,14623576,15384166,15477801,15525366,15565656,15629535,15650961,15977380,16057374,16451523,16515321,16671504,16774161,16856086,17120094,17315284,17355005,17496084,17511363,17675009,17721393,17767774,17794745,18065121,18419206,18494241,18673145,18755442,18937849,19094001,19172856,19256116,19550105,19778001,19841332,20076313,20211862,20375241,20426921,20618509,20621055,20796097,20826006,21056361,21198262,21273421,21353694,21569463,21905601,21977380,21995792,22036726,22075161,22407774,22591096,22915942,23103574,23136461,23460126,23478605,23483734,23602324,23681193,23750566,24428019,24548875,24555124,24736120,24745266,24859041,24942993,25114369,25304093,25414983,25648505,25654246,25784189,26115801,26197976,26222326,26372856,26513945,26700441,27054070,27074281,27101254,27476009,27828135,27949281,28174326,28240505,28344760,28364361,28451753,28525684,28671245,28796089,29080975,29380441,29458650,29472723,29606001,29669463,29683344,29708710,29925364,30126495,30332854,30348393,30677721,30778206,31170964,31422560,31676345,31794964,31816734,31850329,31887855,32073081,32134928,32144164,32464884,32737060,32901862,33242932,33393762,33812045,33888606,33929380,34013712,34015153,34284649,34405494,34761921,34781734,34842993,34892854,34897170,35086575,35350380,35571561,35650452,35864875,35877670,35938745,35975481,36001174,36105097,36151794,36271907,36786905,37197809,37210445,37223648,37261849,37425680,37456861,37457182,37562134,37665393,37707072,37737399,37745601,37916477,37933732,38011614,38165633,38265426,38281035,38285062,38605801,38758877,38865993,39098356,39284472,39426313,40215526,40574454,40715256,40833104,40937449,41137270,41174182,41426045,41544250,41725401,41766166,41876604,42023524,42029009,42103890,42420456,42445889,42683705,42750520,42999604,43037850,43053204,43102205,43126494,43582808,44144286,44195031,44319201,44376244,44397393,44652534,44787993,44910816,44925475,44990932,45348303,45459377,45500470,45804663,45818014,45879713,45907040,45937242,45952095,46421961,46437245,47002660,47196321,47407774,47723013,47759782,47800313,47898646,48094335,48978070,49015568,49030659,49336505,49364724,49711254,49811902,49853100,50111729,50193393,50524668,50675273,50705572,50999161,51099097,51220446,51260361,51300624,51336393,51448376,51578710,51645420,51722646,51807545,51817010,52019601,52274177,52320073,52398321,52575526,53176640,53369446,53447705,53498662,53510260,53606193,53910570,53982393,53986075,54057561,54279844,54397816,54600564,54622654,54674045,54704875,54722641,55088448,55142514,55352662,55724694,55863373,56403192,56673321,56970393,57355793,57464369,57504608,57619894,57713202,57879423,57928445,58007121,58184329,58482070,58523721,58597455,58768294,58771489,58773684,58807966,58820260,58861396,59112681,59142905,59203806,59442281,59471837,59487352,59553393,59626761,59823720,60453377,60724401,61197543,61307601,61894452,61974504,62103833,62169054,62180412,62439844,62503952,62766845,63167705,63387766,63388534,63437489,63453591,63641254,63811968,63831256,63952735,64137246,64179250,64200561,64212312,64272760,64629197,64692684,64773337,64783290,64910566,64943153,65123764,65275521,65332894,65608854,65632641,65645850,66166462,66923271,66988006,67196841,67231606,67301685,67335359,67406456,67409241,67497652,67553405,67683135,68057044,68072655,68228260,68741945,68904075,69102176,69137405,69240993,69514134,69661401,69721317,69758875,69831769,69938932,70022240,70178484,70225321,70302934,70316946,70584312,70681204,70971486,71159860,71561497,71630116,71788464,71796382,71810163,72027393,72195344,72238851,72306855,72349577,72422644,72610832,72747049,72786921,72998710,73115895,73286689,73497680,73854845,74024300,74137414,74218942,74385255,74434297,74502321,74585374,75185062,75293009,75320214,75801246,75831742,75832263,75863841,76267294,76426660,76435606,76743282,76971005,77015100,77040166,77081001,77127312,77739948,77888121,77990288,78229021,78247582,78775020,78869284,79004569,79032833,79158993,79344272,79407351,79736561,79757961,80089881,80178483,80257702,80450872,80762022,80897993,81038875,81064086,81082041,81218105,81219762,81543201,81687186,81740481,81873912,82068801,82149440,82490334,82684890,82841734,82964886,83050161,83115393,83120470,83508889,83710650,83732953,83795881,83831361,83959270,84011380,84013469,84026688,84269542,84660605,84673761,84770552,84834964,85041305,85391832,85421645,85769241,86025993,86372806,86406961,86602281,86730081,86768226,87134129,87486889,87530686,87598452,87728884,87739074,87789382,88197216,88541662,88553875,88625814,88661014,88824921,88829160,88887993,89205245,89233462,89262306,89291360,89580201,89649341,89831193,89957645,90074177,90144393,90176273,90185446,90289129,90317524,90507231,90869079,91063966,91176735,91329081,91341604,91361050,91453281,91587279,91639352,91711992,91833641,92010993,92090249,92108151,92209846,92365206,92418120,92606494,92729380,93231814,93302895,93852262,93865409,93917121,94070105,94276726,94441805,94499297,94530024,94629937,94685332,94751104,94853662,95366871,95376993,95450575,95679393,95852753,96041481,96065811,96193370,96222201,96269489,96664445,97035094,97122561,97148884,97246650,97254214,97255184,97461726,97481193,97540881,97919977,97924726,97948457,98139005,98373993,98506745,98579328,99052132,99221868,99241145,99454036,99497121,99523088,99744564,99759670,99808702,99912760,99932805,...,11932462019408893098899976215408203760527048031777625500378661151538346801103502271397851664855329276909345255097631191964750340129325871902515035010686842662994258580258214352153169801696415929260234896954146993680105962715161400805043660412263268462709286948063448836921148755215897334495986576948148728766344481326104422946049208603583771776705795665681296270094114574510492248141914339825323094949572638427854694996183032022975843374308943229985236732099685056580872138452090839598718926476101269285407097214348174007082749957722008969856143649638268278150140461864150112158458603746856536300595749716150006454825387340251096568321988192764778383443225412459499446564150276111882765597315100256212864680191290888198432065118577297414525547612993751154361485978702360810428153187402796578465629879565418467332495626747719508850476042182944225200279072191009767059098883293726183649802661525544662506963274798146378607575932146125289413284422568490930497379996169583862558095088392142508651073843871988641909137697576074915567435590075393147848979162261560641668935105351806654796008920029816964337234188231699331491148314825454741099092687522882800711833104930112573440483208905608881031574154257863059060511646025211682012919700082252105497703624042230317200937517744343765991118560048681563494501634087778839820892746294857563346248337522806993490176836867670961882534890903056171698205595463767022933992705328554430839556410525324431993756614610171297691888895344799153838069687234235225743023792841196644092854237261042674922607943209775093405266341940575244248883840055801058531890887952985438636324636723143137763222862885785355910105450689676526289241705794665348120385120244364910888267343844854224495097764852075141467862826892637862744473687030890958237996504273732188537654370665255185435063646725380476767085854897977190356752994262215655697325380693532087172315654153158104304775930479520300638969271954364446696772592438325126457881180707890889006255766876693825257438589078541650435570883272320945710723004150012270956813838194706384000183971234480244169253626202476402596599727311041963935282885273766246617292540988155999194656031844095483635548997014127391325329132192495196266591972333979187881935362930173184312805629779277434430926250599002713934186969835157232127680433025462782032384057748570284645532973674163904955237061238357243244818047127177708594233195395683053584460165998643}
15136   485302412407343016213517542563497109611157544560557286877385195: {75655,90786,393146,438103,665324,799399,889543,1249399,1297826,1587705,1693552,1838906,1872524,1890125,1905246,2198906,2268150,2419360,2474924,2499823,2677303,2721780,2779688,2903232,2942983,3096386,3127149,3266136,3503432,3557228,3560383,3674403,3823903,3941361,3999223,4277324,4348999,4524866,4756748,5218399,5650399,5671208,5736583,6027693,6072524,6166423,6297506,6380109,6392648,6850423,7020703,7175825,7191729,7360399,7445143,7659249,8375505,8405666,8540263,8610990,8623999,8707663,8929868,8933872,8958223,8988665,9103778,9185056,9277946,9374383,9759788,9973178,10050606,10333188,10786398,10801505,10824524,10838978,11189841,11532908,11590543,11701178,12156305,12388346,12638863,12795629,12840950,12961806,13198303,13575368,13619949,13833343,13912399,14354924,14587566,14777263,15136305,15272289,15409140,15438093,15478399,15642188,15780545,15789626,16145392,16214225,16436416,16630946,16686605,16692524,16776249,16798778,17015599,17067921,17091703,17366150,17468666,17471143,17697943,18074503,18163566,18279470,18302786,18437324,18490968,18896599,18936654,19246318,19457070,19464506,19562743,19709983,19767209,19784301,19971725,20023926,20296063,20637068,20700488,20732599,20754208,20802339,20839380,20867948,20947778,21111866,21166543,21409832,21454399,21644105,21764769,21812599,21870105,21935364,22020428,22097863,22228672,22365548,22452823,22582178,22826792,22923229,23076249,23231906,23288049,23328112,23348484,23628524,23753873,23966070,24070145,24086061,24086828,24269599,24363386,24658988,24801665,24887143,25007256,25167266,25227703,25284129,25458668,25563808,25680141,25701463,25970599,25972926,26244126,26370668,26571943,26605178,26651661,27166988,27233263,27364663,27471725,27494740,27628809,27691903,27768008,27952399,28031426,28075148,28118062,28133163,28238870,28471592,28598599,28759284,28855063,28884174,28918999,29207468,29433548,29502905,29602466,29761998,29877032,29914946,30317793,30493999,30693905,30803599,30920150,31049983,31239009,31280168,31356343,31468706,31574924,31797393,32030541,32570692,32682943,32701346,32747470,32920399,32966070,32993688,33055089,33145388,33156703,33215599,33257324,33467066,33567463,33611661,33772346,33886644,34229186,34373913,34435783,34655361,34821068,35163808,35190189,35225601,35403486,35430950,35456383,35568343,35600588,35625849,35657105,35728966,35846983,36043586,36617599,36643778,36832686,37104180,37117899,37265708,37406705,37565768,37819148,37905823,38134957,38221399,38273743,38481369,38963705,39021506,39254599,39278200,39296964,39305503,39333489,39457783,39474668,39558943,39559284,39577792,39610178,39743705,39756986,40168660,40180205,40198862,40464524,40581105,40651881,40903628,40921325,41037608,41041783,41186503,41553665,41664223,41941826,41998253,42261489,42411725,42422312,42517140,42518978,42764108,42788526,42827023,42888622,43237178,43286512,43547599,43809146,43988599,44187975,44525016,44563065,44662778,44679223,44888046,44891263,45017329,45101503,45184808,45351616,45475399,45499281,45511226,45639703,45873992,46167309,46214306,46285399,46349228,46457324,46483399,46522783,46529560,46756446,46782100,46835263,46913786,47133840,47219383,47417165,47428748,47533936,47598089,47692446,47725101,47967308,47974289,48002599,48148183,48202392,48216246,48457201,48683863,48697326,48754063,48872945,48893599,48928303,49066399,49105590,49352793,49538978,49573999,49607263,49864398,50033143,50090643,50097583,50220524,50276096,50316532,50327468,50383999,50509423,50540599,50682152,50695399,50832909,50894070,51020568,51041380,51178663,51440066,51608241,51821324,52035103,52051433,52117183,52144399,52172601,52246178,52279399,52339281,52345755,52379296,52517863,52529405,52543999,52647823,53025570,53026903,53438150,53475678,53553583,53622703,53668423,53749505,53816505,53848423,54001761,54099272,54194599,54227691,54287008,54298999,54421903,54478510,54482383,54581743,54690958,55328599,55411399,55418786,55470305,55587223,55633663,55633868,55664263,55709623,55739503,55798399,55835472,55852349,55884583,56069306,56075599,56138520,56185773,56238665,56264599,56335663,56343201,56501983,56560608,56576333,56777599,56827063,56850823,56900598,56966599,56973223,56998999,57017421,57080143,57129463,57159703,57175399,57193399,57206503,57256399,57268063,57273103,57274183,57274543,57383800,57398139,57404272,57427593,57501992,58635386,58647534,58753325,58859048,58888826,58926708,58980649,59092268,59196524,59267906,59536712,59717324,59881088,60323289,60464404,60522146,60646778,60861681,61072884,61249656,61269460,61705905,61761273,61885178,61895948,62316375,62549201,62649249,62814906,62928428,63035286,63155835,63170926,63381965,63534478,63594746,63630684,64125780,64198466,64310470,64318778,64499406,64556775,64579806,64689741,65037626,65374212,65513978,65819632,66106178,66216429,66281672,66470800,66564366,66694778,66812066,66887825,66924524,66978801,67366224,67396346,67486398,67499729,67849805,67997270,68241502,68250705,68293928,68347148,68400832,68448524,68727021,68860560,68898626,68905863,68963528,69359468,69426238,69697466,69864428,70150778,70394513,70503990,71111661,71474924,71639673,71847969,71880760,71976524,72076748,72272546,72503981,72800752,73451264,73467105,73477178,73523352,73525325,73576745,73910906,74047086,74174233,74299592,74359190,74566881,74717853,74777153,74779650,75204256,75564428,75728546,75787002,75960524,76044986,76058358,76666889,76830669,76950936,77172564,77342828,77368065,77468130,77583969,77607746,77725515,78031628,78049805,78121466,78129940,78223778,78325946,78364912,78816908,78863289,78938408,79404524,79502348,79641026,79764960,79789070,80054169,80184433,80247993,80265390,80339066,80340950,80734778,80865855,80965868,81404705,81419766,81596724,81713978,81743468,81900846,81933981,82004494,82101626,82198178,82525936,82632672,82713771,82774466,82820753,82892072,82907216,83028993,83155778,83534786,83587041,83629178,83723426,84258070,84372065,84472226,84565178,84604788,85071305,85082624,85098286,85285325,85516328,85600748,85616416,86256912,86377720,86429841,86483906,86569803,86712886,86842178,87034028,87082702,87286778,87401369,87423665,87478472,87510188,87527800,87723105,88152441,88160526,88211949,88230390,88292094,88351505,88805709,88949825,89114786,89231028,89370746,89537645,89595788,89735580,89794466,89878988,90244180,90528305,90763540,91381697,91534778,91872100,92261186,92321324,92421026,92530375,92685512,92818106,92841678,92881868,92961756,93133178,93253581,93270618,93571312,93659766,93755928,93987746,94112416,94251469,94628648,94749506,95050178,95081649,95082801,95461881,95496866,95533325,95717952,95746884,95791778,96036524,96205869,96268875,96318468,96409140,96518978,96586193,96628493,96948386,97039026,97049228,97161146,97174935,97365849,97487860,97582778,97685646,97999341,98413281,98468775,98586605,98837998,99180340,99217466,99249693,99336428,99349946,99547586,99813406,99874106,...,15909949359211857465199968287210938347369397375703500667171548202051129068138003028530468886473772369212460340130174922619667120172434495870020046680915790217325678107010952469537559735595221239013646529272195991573474616953548534406724880549684357950279049264084598449228198340287863112661315435930864971688459308434805897261398944804778362368941060887575061693458819432680656330855885786433764126599430184570472926661577376030634457832411924306646982309466246742107829517936121119464958568634801692380542796285797565342776999943629345293141524866184357704200187282485533482877944804995808715067460999621533341939767183120334795424429317590353037844590967216612665928752200368149177020796420133674950486240255054517597909420158103063219367396817325001539148647971603147747237537583203728771287506506087224623109994168996959345133968056243925633600372096254679689412131844391634911533070215367392883342617699730861838143434576194833719217712563424654573996506661559445150077460117856190011534765125162651522545516930101433220756580786767190863798638883015414188891913473802408873061345226706422619116312250975599108654864419767272988132123583363843734282444139906816764587310945207478508042098872343817412080682194700282242683892933443002807330271498722973756267916690325791687988158080064908751326002178783705119761190328393143417794997783363742657986902449156894615843379854537408228930940793951689363911990273771405907786075214033765909325008819480228396922518527126398871784092916312313634324031723788262192123805649681390233230143924279700124540355122587433658998511786741068078042521183937313918181766182297524183684297150514380474546807267586235368385655607726220464160513493659153214517689791793138965993463686469433521957150435856850483659298249374521277650662005698309584716872494220340247246751528967173969022781139863969587142337325682954207596433840924709449563087538870877472406367907306027067518625695939152595595696789917766835277174907610521185341674355835591767009918118771388867247427844363094594280964005533349694609085117592941845333578628312640325559004834936635203462132969748055951913710513698354995489723387984207998926208042458793978180731996018836521767105509589993595022122629778638917175913817240230912417074173039036579241235000798670285245582626446876309503573910700617042709845410331427046194043964898885206606982748317809657659757396169570278125644260527577404779280221331524}
15137   487490062729000101055709279356309745746251165470693769946538766: {15137,121048,136179,589719,831655,997986,1481858,1946739,2116940,2340655,2432227,2540328,2758359,2808786,2857869,3024200,3065503,3093655,3157363,3298359,3338647,3402225,3474610,3629040,3712386,3870976,4082670,4169532,4354848,4379290,4446535,4515199,4644579,4877623,4899204,4962307,5255148,5335842,5346655,5593567,5650018,5945935,6415986,6787299,7089010,7134259,7135122,7439863,7590655,7641106,7817138,7983139,7990810,8036924,8039239,8506812,8728378,8787559,9108786,9212047,9446259,9487207,9588972,10212332,10754179,11021287,11162335,11167340,11481320,11744983,11878447,12043327,12087559,12163346,12199735,12608499,12830527,12916485,13394802,13400808,13530655,13554223,13604866,13655667,13777584,13893919,13916919,14127218,14213839,14381864,14416135,14639682,14919788,14959767,15075909,15106183,15499782,15589618,16179597,16236786,16258467,16969210,17145367,17282408,17299362,17551767,17943655,18005383,18112927,18159932,18359359,18582519,18661159,18733603,19261425,19442709,19450088,19552735,19973443,20120722,20181740,20363052,20412098,20528143,20545520,20584124,20865655,20888647,21017338,21119359,21532386,21881349,22368332,22741903,22757228,23046655,23113710,23463282,23512786,23684439,23886746,24218088,24297007,24629282,24654624,24732079,24912643,24946419,25038786,25198167,25248872,25359514,25796335,25851463,25875610,25942760,26049225,26084935,26142403,26177167,26202999,26294767,26379068,26538439,26698568,26762290,27245349,27308647,27370147,27419205,27454179,27525535,27655986,27736452,27785840,27956935,28404981,28533490,28694179,28817623,28869477,28970306,29019692,29160140,29185605,29196759,29247152,29430643,29535655,30035889,30108535,30768332,30823735,30955602,31050732,31131312,31259070,31301922,31421667,31667799,31823335,31954760,32114748,32351143,32471647,32870047,32903046,32963335,33030642,33343008,33502927,33548322,33624799,33712172,33873267,33958735,34240188,34368425,34630568,34710010,34847859,34875199,34895407,34992168,35022726,35093935,35350018,35442786,35535548,35589490,35907907,35949105,36130242,36509335,36545079,36791935,36838412,36988482,37119523,37346290,37510884,37525543,37750899,37875698,38188002,38345712,38425423,38512232,38959389,39100210,39137923,39366189,39468655,39536707,39556002,39682664,39907767,40139743,40152626,40423724,40713365,40750482,40853842,41237018,41242110,41431735,41431903,41445847,41571655,41592194,41652012,41680963,42034663,42047139,42112722,42177093,42222079,42358305,42377239,42396524,42546842,42707388,43138926,43326261,43526335,43811202,43954760,43959127,43961047,43991584,44073452,44150322,44346883,44403699,44500735,44642997,44815548,44872419,45104839,45143779,45182192,45831884,45967303,46117207,46206259,46207148,46272922,46380225,46582135,46920252,46957210,46967468,47203059,47204648,47273935,47336863,47362386,47439523,47501132,48474463,48640063,48856038,49052019,49097750,49110248,49121205,49343335,49449105,49472240,49490532,49670647,49718082,49885986,49977127,50200599,50210825,50228738,50314243,50580655,50608186,50658519,50807539,50829966,51001159,51089239,51129535,51297010,51308492,51343779,51501667,51523327,51568378,52094623,52231602,52395952,52444652,52745712,53027890,53105229,53146425,53325367,53400882,53455135,53593449,54009727,54046183,54065379,54108140,54148562,54202508,54221479,54952018,54965667,55249029,55656270,55898562,56051299,56348652,56411443,56474527,56481010,56491279,56493919,56689520,56728722,56903506,57051368,57342490,57411427,57592178,57936535,57970663,57996463,58071655,58161950,58314883,58477625,58532259,58760882,58917300,58945446,58967407,59212002,59285935,59338926,59366688,59415267,59417420,59582083,59635479,59757187,59850728,59888959,59959135,60252990,60298293,60340039,60343087,60531559,60665708,60696786,60959263,61355442,61480243,61556412,62341928,62775655,62845120,62895665,62909335,62912739,63059623,63352690,63446023,63573343,63589928,63633468,63700658,63775710,63778467,63801725,64146162,64182789,64224883,64269856,64288328,64332933,64776655,64855767,64929768,65012143,65474120,65496703,65556739,65713719,65803724,66211783,66485864,66787524,66994167,67332069,67565539,67624090,67777212,67784119,67858760,67913623,68027424,68030306,68071903,68266839,68569298,68810988,69071107,69086383,69321459,69416239,69523842,69542335,69563468,69685986,69785708,69794340,69895687,70134669,70173150,70370679,70700760,70900723,71143122,71300904,71538669,71550259,71729750,71755340,71877490,71950962,72002348,72210194,72303588,72324369,72530563,72543814,72554743,73045989,73395439,73573810,73658385,73741063,73853287,73865335,73995655,74308467,74395618,74420890,74447296,74523698,74646655,74796597,74826787,74851360,74913722,74914364,75124268,75330786,75349507,75414144,75474798,75491202,75580505,75832954,75867464,76023228,76331266,76341105,76375939,76530852,76543663,76562070,76570124,76586825,76750999,77160099,77211602,77309047,77339203,77369935,77496439,77517754,77725027,77731986,77943583,78196712,78369267,78421123,78568944,78660535,78852626,79538355,80157225,80203999,80213517,80287603,80431052,81099823,81148908,81430512,81666208,81717765,81874898,82036437,82274540,82348364,82424863,82800067,82852090,83088500,83128179,83450802,83532332,83655655,83753208,84047048,84058018,84103959,84207780,84691807,84840912,84891778,85239943,85350897,85367410,85433935,85501040,85560655,85999208,86075700,86106408,86204410,86252988,86699335,87165616,87330535,87636343,87873583,87953079,87971301,88111687,88288572,88294819,88333239,88390062,88434787,88616767,88638402,88752488,88794786,88901859,88982647,89305068,89343655,89533829,89575986,89821632,89833699,89850950,89970655,89981864,90095935,90188659,90696606,90783219,90918754,90970167,91000940,91112263,91154743,91311223,91609326,91636028,91759426,91814080,91874484,91904190,92043967,92342503,92516419,92827767,92843922,92874490,93402439,93510727,94005320,94222359,94392642,94455535,94552929,94574767,94756389,94798759,94815548,94950655,94976263,95301717,95392119,95446026,95519564,95600626,95606719,95797292,95952607,96162343,96188670,96238723,96265639,96297699,96465705,96478167,96534979,96678535,96749109,96792367,96869709,96943363,97385203,97416103,97539535,97556439,97662425,97674883,97702663,97956140,98031136,98061318,98270967,98521135,98673010,98729448,98811439,99159267,99255655,99365527,99377935,99422508,99623804,99706200,99846549,99878719,...,23864924038817786197799952430816407521054096063555251000757322303076693602207004542795703329710658553818690510195262383929500680258651743805030070021373685325988517160516428704306339603392831858520469793908293987360211925430322801610087320824526536925418573896126897673842297510431794668991973153896297457532688962652208845892098417207167543553411591331362592540188229149020984496283828679650646189899145276855709389992366064045951686748617886459970473464199370113161744276904181679197437852952202538570814194428696348014165499915444017939712287299276536556300280923728300224316917207493713072601191499432300012909650774680502193136643976385529556766886450824918998893128300552223765531194630200512425729360382581776396864130237154594829051095225987502308722971957404721620856306374805593156931259759130836934664991253495439017700952084365888450400558144382019534118197766587452367299605323051089325013926549596292757215151864292250578826568845136981860994759992339167725116190176784285017302147687743977283818275395152149831134871180150786295697958324523121283337870210703613309592017840059633928674468376463398662982296629650909482198185375045765601423666209860225146880966417811217762063148308515726118121023292050423364025839400164504210995407248084460634401875035488687531982237120097363126989003268175557679641785492589715126692496675045613986980353673735341923765069781806112343396411190927534045867985410657108861679112821050648863987513229220342595383777790689598307676139374468470451486047585682393288185708474522085349845215886419550186810532683881150488497767680111602117063781775905970877272649273446286275526445725771570711820210901379353052578483411589330696240770240488729821776534687689708448990195529704150282935725653785275725488947374061781916475993008547464377075308741330510370870127293450760953534171709795954380713505988524431311394650761387064174344631308306316208609551860959040601277938543908728893393545184876650252915762361415781778012511533753387650514877178157083300871141766544641891421446008300024541913627676389412768000367942468960488338507252404952805193199454622083927870565770547532493234585081976311998389312063688190967271097994028254782650658264384990392533183944667958375763870725860346368625611259558554868861852501198005427868373939670314464255360866050925564064768115497140569291065947348327809910474122476714486489636094254355417188466390791366107168920331997286}
15138   489687495670493864073516140922947690400144126108490896783621801: {105917,151310,181572,257057,468317,558737,709277,786292,876206,919697,1330648,1496979,1598798,1608317,1779086,2222787,2498798,2595652,2646175,2707217,2854877,2972861,3175410,3387104,3590177,3677812,3736637,3745048,3780250,3810492,3999761,4028957,4213179,4397812,4536300,4553117,4611197,4698257,4838720,4949848,4999646,5211915,5305661,5354606,5420957,5443560,5559376,5568579,5593661,5806464,5852177,5885966,5909537,6124005,6192772,6195857,6254298,6452861,6532272,6568935,7006864,7114456,7120766,7304861,7348806,7446161,7647806,7882722,7981277,7998446,8003763,8401697,8475027,8541437,8554648,8697998,8736737,8987261,9049732,9513496,9541661,9623979,9790097,9982877,10046155,10120337,10367261,10436798,10476797,10633515,10702683,10804637,11049761,11300798,11342416,11429777,11461659,11473166,11619197,11725707,11986215,12055386,12145048,12238817,12332846,12584131,12595012,12640637,12760218,12765415,12785296,13092567,13359377,13663179,13700846,13959175,14041406,14351650,14383458,14544317,14720798,14805437,14890286,15122107,15273437,15318498,15558161,15816161,16355357,16751010,16811332,16941857,17018827,17080526,17119517,17195537,17221980,17247998,17415326,17473661,17725661,17859736,17867744,17916446,17951777,17977330,18077117,18207556,18245019,18370112,18555892,18649735,18748766,18998417,19344161,19519576,19565597,19590161,19810877,19859837,19946356,19957661,20092203,20101212,20323361,20407299,20590397,20666376,21190827,21313757,21572796,21603010,21649048,21672737,21677956,21959523,22092763,22379682,22479761,22699915,22809377,23065816,23090657,23181086,23249673,23324177,23361247,23384427,23402356,24019937,24135197,24312610,24355179,24548477,24776692,24822557,24913661,25027361,25227175,25277726,25453815,25591258,25681900,25727837,25730155,25923612,25949043,26041661,26131037,26396606,26398397,26465057,26598161,26708861,27150736,27239898,27259361,27666686,27696161,27717917,27783137,27824798,27960415,28072759,28237661,28446535,28688657,28709848,28880861,29175132,29495777,29554526,29622161,29936861,30020477,30124817,30181083,30272610,30301747,30374417,30544578,30560861,30618147,30746657,30818280,30876186,30956798,30993377,31259357,31284376,31526007,31561090,31579252,32089361,32290784,32298579,32428450,32509277,32807057,32872832,32973835,33063677,33181661,33261892,33373210,33385048,33455837,33552498,33597556,33698203,33864161,34031198,34135842,34183406,34460477,34670565,34722331,34732300,34897937,34937332,34942286,35086817,35124497,35194923,35269179,35368637,35395886,35462177,35741597,35830119,36149006,36274615,36327132,36450175,36558940,36587261,36605572,36750737,36786977,36874648,36943923,36981936,37021757,37219361,37558179,37793198,37873308,37912157,37929761,38039271,38454161,38460415,38492636,38644637,38813415,38816957,38914140,38929012,39056861,39125117,39125486,39329117,39419966,39534418,39565661,39568602,39582497,39943450,39967517,40047852,40143435,40315361,40381217,40414097,40592126,40871057,41064977,41209661,41274136,41304067,41400976,41465198,41483979,41508416,41604678,41678760,41735896,41895556,42095357,42140215,42223732,42250877,42328337,42333086,42528797,42620861,42800235,42819664,42849761,42908798,42971467,43242257,43288210,43455459,43466237,43529538,43625198,43658897,43688417,43740210,43870728,44040856,44195726,44315357,44419435,44457344,44473361,44601917,44687261,44701457,44731096,44905646,44913437,45109661,45164356,45193277,45331997,45653584,45661661,45846458,45946337,46048015,46134161,46152498,46412957,46433403,46463812,46576098,46656224,46696968,46856861,46888605,46921361,46952883,46972817,47257048,47304161,47507746,47542877,47567837,47754017,47913917,47932140,48140290,48169361,48172122,48173656,48539198,48693137,48704861,48726772,48775037,48937661,49317976,49354569,49545963,49603330,49627937,49634299,49716257,49774286,49919947,50010557,50014512,50322483,50334532,50455406,50467217,50529655,50529761,50568258,50623037,50684861,50888861,50917336,50989661,51079697,51127616,51188861,51198737,51360282,51402926,51539357,51625361,51663377,51720161,51823517,51851537,51941198,51945852,52045661,52054817,52065015,52182161,52352477,52369387,52370237,52488252,52534089,52580861,52658657,52667261,52741336,52761377,52795361,52913297,52995655,53025027,53037917,53087261,53143886,53164179,53210356,53303322,53377277,53384235,53572577,53595677,53618323,53641661,53800337,53859857,53948177,54163937,54195363,54255197,54333976,54358817,54372497,54440417,54466526,54494177,54549187,54632861,54729326,54768017,54787037,54862397,54918161,54943450,54973277,54989480,55069661,55091815,55099361,55221917,55257618,55383806,55407377,55482723,55536016,55604957,55620497,55641187,55676861,55681937,55722257,55825661,55904798,55916177,56019435,56035361,56062852,56079761,56127677,56150296,56208161,56236124,56252287,56266326,56348861,56421137,56477740,56518877,56550161,56567261,56636897,56696887,56739197,56759777,56799761,56813547,56851517,56864657,56902877,56917661,56927357,56932157,56939297,56943184,56955677,56995997,57027617,57039761,57049661,57089057,57094397,57096161,57143837,57161597,57167261,57179537,57197198,57215777,57222161,57228257,57241361,57264797,57275837,57277217,57282003,57283361,57284861,57287057,57289277,57289361,57289697,57289855,57518568,57710126,57758935,57768348,57837998,58175131,58414936,58650315,58709335,58867096,59005810,59204932,59334003,59376415,59523996,59754064,59829892,60228939,60635586,60987998,61125723,61280763,61387810,61607198,61840300,61855527,61863165,62099966,62388291,62478018,62560336,62712686,62937412,63149848,63169083,63594786,63820263,64061082,64135615,64708389,65141384,65365886,65402692,65494940,65555815,65716803,65840798,65932140,65987376,66110178,66225483,66290776,66313406,66384031,66431198,66514648,66862939,66934132,67134926,67223322,67544692,67635175,67753135,67773288,68422123,68458372,68747826,68871566,69310722,69409383,69642136,70327616,70380378,70435815,70451202,70806972,70861900,70912766,71043579,71136686,71201176,71251698,71314210,71457932,71693966,72087172,73235198,73284057,73287556,73541167,73646625,73665372,73921783,74208360,74235798,74271775,74531416,74577123,74813410,74828979,75131536,75249307,75343107,75638296,75811646,75832135,75912279,76244949,76269914,76442798,76547486,76945515,76962738,77352567,77658427,77927410,78043012,78347403,78424819,78509198,78556400,78593928,78611006,78666978,78734131,78915566,78949336,79117886,79118568,79155584,79220356,79487410,79513972,79541835,79772407,80101323,80337320,80360410,80397724,80929048,81162210,81222843,81303762,81807256,81842650,82075216,82083566,82254655,82373006,82428027,83107330,83328446,83484405,83847843,83883652,83996506,84522978,84721515,84823450,84844624,85034280,85037956,85093083,85355259,85528216,85577052,85654046,85686523,85777244,86013735,86388267,86474356,86573024,86954335,87095198,87232135,87242925,87618292,87977198,88141323,88372999,88375950,88418169,88734751,88818003,89008389,89050032,89126130,89325556,89358446,89694175,89776092,89782526,90002935,90034658,90203006,90369616,90379485,90703232,90950798,90998562,91022452,91045179,91279406,91747984,92033163,92334618,92428612,92564371,92570798,92698456,92914648,92966798,93045566,93059120,93512892,93564200,93642955,93670526,93827572,93905335,94267680,94438766,94834330,94857496,94989727,95029035,95067872,95196178,95384892,95450202,95550987,95663565,95712655,95934616,95948578,96005198,96219243,96296366,96404784,96432492,96914402,97367726,97394652,97508126,97683883,97745890,97787198,97856606,98132798,98211180,98705586,99077956,99147998,99214526,99728796,...,35797386058226679296699928646224611281581144095332876501135983454615040403310506814193554994565987830728035765292893575894251020387977615707545105032060527988982775740774643056459509405089247787780704690862440981040317888145484202415130981236789805388127860844190346510763446265647692003487959730844446186299033443978313268838147625810751315330117386997043888810282343723531476744425743019475969284848717915283564084988549096068927530122926829689955710196299055169742616415356272518796156779428303807856221291643044522021248249873166026909568430948914804834450421385592450336475375811240569608901787249148450019364476162020753289704965964578294335150329676237378498339692450828335648296791945300768638594040573872664595296195355731892243576642838981253463084457936107082431284459562208389735396889638696255401997486880243158526551428126548832675600837216573029301177296649881178550949407984576633987520889824394439135822727796438375868239853267705472791492139988508751587674285265176427525953221531615965925727413092728224746702306770226179443546937486784681925006805316055419964388026760089450893011702564695097994473444944476364223297278062568648402135499314790337720321449626716826643094722462773589177181534938075635046038759100246756316493110872126690951602812553233031297973355680146044690483504902263336519462678238884572690038745012568420980470530510603012885647604672709168515094616786391301068801978115985663292518669231575973295981269843830513893075666686034397461514209061702705677229071378523589932278562711783128024767823829629325280215799025821725732746651520167403175595672663858956315908973910169429413289668588657356067730316352069029578867725117383996044361155360733094732664802031534562673485293294556225424403588480677913588233421061092672874713989512821196565612963111995765556305190940176141430301257564693931571070258982786646967091976142080596261516946962459474312914327791438560901916907815863093340090317777314975379373643542123672667018767300630081475772315767235624951306712649816962837132169012450036812870441514584119152000551913703440732507760878607429207789799181933125891805848655821298739851877622964467997583968095532286450906646991042382173975987396577485588799775917001937563645806088790519552938416889337832303292778751797008141802560909505471696383041299076388346097152173245710853936598921022491714865711183715071729734454141381533125782699586187049160753380497995929}
15139   491894754626894478619936774374156775480389869687853960719404096: {15139,30274,226965,242096,272358,982865,1164317,1179438,1314309,1663310,1995972,2398197,2668629,2963716,3244565,3276917,3731429,3748197,3893478,4233880,4331117,4597265,4681310,4763115,4864454,5080656,5451461,5497265,5516718,5617572,5670375,5715738,6048400,6131006,6142037,6187310,6225149,6314726,6596718,6677294,6804450,6949220,7258080,7424772,7485317,7499469,7740965,7741952,7952957,8031909,8165340,8315141,8324309,8339064,8431397,8709696,8758580,8828949,8893070,9030398,9289158,9381447,9755246,9798408,9924614,10385297,10510296,10603349,10626917,10671684,10681149,10693310,11023209,11099957,11187134,11300036,11312165,11471709,11824083,11891870,11997669,12317909,12831972,13046997,13460189,13574598,14178020,14268518,14270244,14285297,14488997,14879726,14907197,15181310,15282212,15618257,15627269,15634276,15655197,15743765,15966278,15981620,16038077,16073848,16078478,16173329,16883381,16951197,17013624,17079629,17209749,17456756,17575118,18083079,18217572,18424094,18499269,18892518,18942917,18974414,19140327,19162469,19177944,20182589,20424664,20551269,21014165,21062109,21279089,21508358,21527475,21575187,21943877,22042574,22054097,22081197,22324670,22334680,22335429,22759445,22847537,22962640,22977747,23194865,23489966,23756894,24086654,24175118,24326692,24399470,24932945,25121117,25126515,25216998,25417421,25620789,25661054,25832970,25871997,26122989,26789604,26801616,26874669,26965995,27061310,27097445,27108446,27209732,27311334,27373829,27555168,27787838,27819089,27832997,27833838,28123149,28254436,28427678,28763728,28832270,29211917,29252945,29279364,29388269,29759477,29839576,29919534,30151818,30212366,30521429,30551729,30970865,30999564,31179236,32102375,32265317,32359194,32404515,32473572,32516934,32679581,33569523,33938420,34290734,34436021,34564816,34598724,34771629,34781669,35103534,35404829,35565797,35887310,36010766,36114869,36225854,36319864,36468915,36518909,36718718,37165038,37322318,37467206,37916589,38233169,38386887,38522850,38535749,38885418,38900176,39000749,39105470,39139709,39465437,39474065,39486437,39594909,39946886,40241444,40363480,40726104,40824196,40859847,41056286,41091040,41168248,41290157,41349917,41500029,41577365,41731310,41737197,41777294,41996945,42034676,42151949,42231569,42238718,42946061,43064772,43093877,43153229,43415375,43671665,43762698,44331789,44348369,44552669,44736664,45250997,45408915,45483806,45514456,45698675,45756965,45816867,46093310,46148669,46227420,46253909,46314279,46321829,46435197,46926564,47025572,47341635,47368878,47542229,47773492,48115795,48436176,48594014,48642675,48661265,48982049,49130789,49131509,49258564,49309248,49437809,49464158,49677329,49825286,49892838,50050517,50059815,50077572,50328747,50396334,50484509,50497744,50719028,51012749,51046797,51113069,51203763,51275109,51375221,51508709,51592670,51702926,51751220,51885520,52098450,52169870,52284806,52354334,52369445,52405998,52413429,52589534,52758136,52779665,53076878,53093829,53397136,53524580,53581397,53875877,54177341,54223509,54490698,54607397,54617294,54740294,54838410,54908358,55051070,55182389,55256117,55311972,55472904,55571680,55743269,55856789,55878257,55913870,56455445,56689797,56736581,56809962,56998711,57066980,57388358,57635246,57738954,57940612,58004429,58039384,58079765,58085297,58200317,58320280,58371210,58393518,58494304,58688229,58861286,59071310,59129949,59301627,59346389,59352903,59915175,60071778,60217070,60274097,60888189,60908465,60936869,61536664,61647470,61911204,62101464,62197797,62262624,62301029,62407017,62518140,62603844,62843334,62918165,63118589,63335598,63499629,63646670,63909520,64229496,64330277,64363197,64501421,64702286,64790741,64932315,64943294,65214989,65294307,65437797,65610315,65740094,65806092,65904749,65926670,66061284,66183509,66243197,66293589,66512945,66668069,66686016,67005854,67096644,67249598,67358469,67424344,67746534,67917470,68130941,68418557,68480376,68736850,68769687,68917589,69080669,69228747,69261136,69420020,69695718,69750398,69790814,69864147,69984336,70013717,70045452,70078565,70187870,70295155,70415189,70597175,70654469,70700036,70812917,70885572,70910261,71071096,71178980,71261619,71537297,71581349,71815814,71898210,72210435,72258183,72260484,72658469,72766517,72802397,72808797,73018670,73090158,73583870,73676824,73976964,74006165,74239046,74404995,74525009,74661429,74692580,74787365,74837189,75021768,75051086,75501798,75683109,75751396,75852387,75903461,76376004,76691424,76757909,76850846,77024464,77040423,77104389,77300375,77911797,77918778,78118709,78200420,78250289,78275846,78362321,78409829,78671765,78732378,78937310,79073414,79112004,79365328,79715829,79815534,79954983,80279486,80298581,80305252,80847448,81111149,81300317,81426730,81500964,81699789,81707684,81745709,81753365,81792197,81868675,82093989,82415175,82474036,82484220,82541909,82841021,82863470,82863806,82886427,82891694,83000309,83075709,83143310,83184388,83304024,83361926,83531237,83667665,83857197,83942789,84069326,84094278,84225444,84354186,84399489,84430865,84444158,84559397,84716610,84754478,84793048,85093684,85414776,85572965,85747709,85795797,86277852,86404229,86565189,86652522,86756997,87052670,87148529,87622404,87885917,87909520,87918254,87922094,87983168,88053931,88073069,88146904,88300644,88508715,88577375,88693766,88807398,89001470,89285994,89322415,89343629,89397989,89631096,89744838,90097109,90108965,90209678,90287558,90364384,90687317,90781997,90953379,91432517,91481997,91609445,91663768,91934606,92081715,92234414,92355197,92410797,92412518,92414296,92536877,92545844,92679509,92760450,93149949,93164270,93717027,93840504,93914420,93934936,94069029,94406118,94409296,94547870,94655549,94673726,94724772,94879046,94885349,95002264,95392179,95560529,95765429,96091623,96274229,96948926,97280126,97359269,97441277,97553765,97712076,97946501,98048829,98104038,98195500,98220496,98242410,98686670,98761197,98835029,98898210,98944480,98981064,99025445,99042269,99165267,99341294,99392465,99436164,99470109,99528881,99646797,99771972,99954254,...,47729848077635572395599904861632815042108192127110502001514644606153387204414009085591406659421317107637381020390524767859001360517303487610060140042747370651977034321032857408612679206785663717040939587816587974720423850860645603220174641649053073850837147792253795347684595020863589337983946307792594915065377925304417691784196834414335087106823182662725185080376458298041968992567657359301292379798290553711418779984732128091903373497235772919940946928398740226323488553808363358394875705904405077141628388857392696028330999830888035879424574598553073112600561847456600448633834414987426145202382998864600025819301549361004386273287952771059113533772901649837997786256601104447531062389260401024851458720765163552793728260474309189658102190451975004617445943914809443241712612749611186313862519518261673869329982506990878035401904168731776900801116288764039068236395533174904734599210646102178650027853099192585514430303728584501157653137690273963721989519984678335450232380353568570034604295375487954567636550790304299662269742360301572591395916649046242566675740421407226619184035680119267857348936752926797325964593259301818964396370750091531202847332419720450293761932835622435524126296617031452236242046584100846728051678800329008421990814496168921268803750070977375063964474240194726253978006536351115359283570985179430253384993350091227973960707347470683847530139563612224686792822381855068091735970821314217723358225642101297727975026458440685190767555581379196615352278748936940902972095171364786576371416949044170699690431772839100373621065367762300976995535360223204234127563551811941754545298546892572551052891451543141423640421802758706105156966823178661392481540480977459643553069375379416897980391059408300565871451307570551450977894748123563832951986017094928754150617482661020741740254586901521907068343419591908761427011977048862622789301522774128348689262616612632417219103721918081202555877087817457786787090369753300505831524722831563556025023067506775301029754356314166601742283533089283782842892016600049083827255352778825536000735884937920976677014504809905610386398909244167855741131541095064986469170163952623996778624127376381934542195988056509565301316528769980785066367889335916751527741451720692737251222519117109737723705002396010855736747879340628928510721732101851128129536230994281138582131894696655619820948244953428972979272188508710834376932781582732214337840663994572}
15140   494111883184226607708042414155797224617993505251995319048031569: {45411,211834,287299,302620,363144,408537,514114,936634,1009891,1117474,1189819,1418554,1572584,1638379,1752412,1769157,1839394,1906651,2352331,2494965,2661296,2884771,2993958,3150019,3197596,3216634,3558172,3704645,4029499,4445574,4640851,4997596,5191304,5292350,5414434,5508091,5709754,5840217,5945722,6024979,6350820,6710131,6774208,7021965,7136011,7180354,7296681,7355624,7473274,7490096,7560500,7620984,7982371,7999522,8057914,8275077,8402851,8426358,8573607,8686525,8795624,8821531,9072600,9106234,9196509,9222394,9280965,9396514,9472089,9570619,9677440,9895077,9899696,9984259,9999292,10015941,10206675,10231579,10423830,10560331,10611322,10642339,10709212,10806139,10841914,10887120,10948225,11118752,11137158,11187322,11612928,11704354,11771932,11819074,12248010,12267379,12385544,12391714,12508596,12905722,13064544,13069099,13137870,13339605,13545597,13705291,13933737,14013728,14021659,14064617,14100571,14125045,14228912,14241532,14572531,14609722,14632869,14697612,14886921,14892322,15041899,15295612,15765444,15818419,15962554,15996892,16007526,16039965,16780701,16803394,16950054,17082874,17109296,17198011,17395996,17473474,17722525,17837805,17871581,17974522,18099464,19001179,19026992,19083322,19102765,19247958,19542845,19580194,19593019,19813771,19887211,19960579,19965754,19977025,20092310,20107099,20107417,20240674,20361897,20734522,20873596,20953594,20980171,21052459,21267030,21402777,21405366,21609274,21820945,21985651,22099522,22319589,22412251,22601596,22684832,22771965,22836259,22859554,22923318,22946332,23117491,23238394,23327659,23451414,23537179,23949417,23972430,24023539,24110772,24117717,24290096,24368779,24477634,24665692,24849091,25168262,25190024,25281274,25520436,25530830,25570592,26109629,26185134,26201971,26362677,26718754,27326358,27401692,27636141,27722179,27787411,27918350,28047619,28082812,28338777,28461621,28693099,28703300,28766916,29013139,29088634,29394811,29441596,29610874,29647819,29780572,29962459,30244214,30337651,30399931,30408365,30546874,30636996,30957211,31062757,31116322,31630411,31632322,31779881,31812499,31993939,32114539,32174731,32262537,32534371,32710714,33063861,33176897,33422131,33480739,33487005,33502020,33622664,33656131,33772699,33883714,33888979,34012165,34037654,34062859,34161052,34236091,34239034,34391074,34443960,34495996,34523371,34830652,34947322,35035939,35234949,35318045,35374411,35451322,35635341,35719472,35735488,35832892,35903554,35954660,36022217,36129981,36154234,36262677,36415112,36490038,36599205,36740224,37027891,37111784,37299470,37497532,37825497,37936099,37996834,38041579,38094211,38356291,38491581,38668411,38688322,38749455,38974045,39039152,39080539,39131194,39131731,39144581,39180322,39182851,39233899,39589219,39621754,39719674,39825149,39892712,39915322,40184406,40202424,40437451,40591965,40646722,40662669,40814598,40967001,41120371,41180794,41332752,41647051,41681757,41750757,41836411,41883571,42118291,42304771,42381654,42423025,42627514,42641517,43145592,43206020,43248405,43264891,43298096,43345474,43355912,43488811,43755139,43919046,44149771,44185526,44323291,44709499,44752051,44759364,44879301,44959522,44963731,45215371,45227727,45318549,45399830,45618754,45629011,45954739,46131632,46155979,46163369,46181314,46362172,46434691,46499346,46648354,46722494,46768854,46804712,47775331,47959651,48039874,48270394,48538791,48625220,48710358,48714139,48775401,48854251,49096954,49537531,49553384,49645114,49827322,50054722,50301805,50454350,50555452,50694859,50784461,50907630,51030245,51182516,51208939,51363800,51436101,51455674,51460310,51530491,51730579,51843331,51847224,51898086,52065379,52083322,52255891,52262074,52543345,52626331,52655301,52678099,52780771,52793212,52796794,52930114,52932619,53106499,53131051,53196322,53417722,53811739,53830965,53844581,53945011,53966971,53988859,54016149,54140059,54245899,54301472,54338781,54370531,54479796,54518722,54690211,54861931,54954811,55063891,55078077,55117459,55239931,55333372,55392322,55425259,55435834,55458019,55474291,55554571,55566274,55633051,55649596,55694539,55747557,55784611,55843219,55886419,55920830,55983477,55984699,55998451,56052739,56145518,56200809,56318851,56400499,56475322,56500291,56511019,56563579,56653651,56746891,56755819,56816299,56865331,56893070,56919259,56934019,57022939,57110419,57150451,57173131,57177451,57256939,57281491,57292579,57303811,57304459,57377314,57419696,57761722,57784275,58328127,58350264,58658205,58658717,58781965,58991554,58996301,59109052,59244322,59716865,59873722,59920329,59926361,60040954,60249634,60362166,60545220,60603494,60748834,61089156,61121722,61236294,61493314,61573205,61584429,61636560,61752372,61913596,61986754,62187209,62518714,62568752,62596965,62665941,63052014,63122180,63158504,63358077,63367109,63398785,64178722,64467221,64581568,64597158,64689025,64856900,65018554,65614114,65644047,65745664,65947670,66127354,66363322,66523784,66746420,66770096,66905725,66911674,67104996,67195112,67396406,67728322,68062396,68225709,68271684,68366812,68920954,69139965,69341130,69444662,69464600,69795874,69874664,69884572,70173634,70248994,70389846,70538358,70737274,70741517,70791772,70924354,71053317,71333725,71483194,71660238,72298012,72425765,72549230,72654264,72891021,72900350,73117880,73174522,73211144,73501474,73573954,73749296,73887846,73963872,74043514,74193917,74196237,74438722,74737929,74796997,74839257,75116358,75586396,75594501,75746616,75824314,75859522,76078542,76908322,76920830,76985272,77128541,77289274,77389005,77554389,77626830,77633914,77828280,77858024,78113722,78147675,78250234,78250972,78254805,78427209,78531501,78608997,78658234,78839932,78884301,79019837,79068836,79131322,79137204,79164994,79615317,79886900,79935034,80095704,80205797,80286870,80630722,80762434,80828194,80862509,81184252,81736047,81742114,81795109,81925941,82110441,82129954,82193069,82257615,82362537,82419322,82548272,82576605,82608134,82801952,82930396,82967958,83016832,83126981,83209356,83357520,83471792,83791112,83870805,84190714,84280430,84447464,84501754,84656674,84666172,85057594,85214943,85241722,85600470,85639328,85699522,85817596,85942934,86082537,86452869,86484514,86576420,86608431,86775025,86910918,86932474,87059076,87250396,87317794,87376834,87480420,87556815,87590277,87741456,87767977,88081712,88291929,88375045,88391452,88606965,88630714,88838870,88914688,88946722,88973725,89203834,89374522,89402914,89462192,89789861,89811292,89826874,90107667,90219322,90325605,90328712,90386554,90663994,91307168,91323322,91692916,91778141,91892674,92096030,92268322,92304996,92471205,92683877,92825914,92866806,92927624,93152196,93312448,93365725,93393936,93713722,93777210,93842722,93905766,93945634,94265001,94276481,94514096,94608322,94689245,94854389,95003397,95015492,95085754,95135674,95470005,95508034,95827834,95864280,96280580,96338722,96344244,96347312,97053429,97078396,97386274,97409722,97414941,97453544,97550074,97750525,97875322,98610141,98635952,98709138,98890005,99091926,99206660,99255874,99268598,99432514,99548572,99839894,...,71594772116453358593399857292449222563162288190665753002271966909230080806621013628387109989131975661456071530585787151788502040775955231415090210064121055977965551481549286112919018810178495575561409381724881962080635776290968404830261962473579610776255721688380693021526892531295384006975919461688892372598066887956626537676295251621502630660234773994087777620564687447062953488851486038951938569697435830567128169977098192137855060245853659379911420392598110339485232830712545037592313558856607615712442583286089044042496499746332053819136861897829609668900842771184900672950751622481139217803574498296900038728952324041506579409931929156588670300659352474756996679384901656671296593583890601537277188081147745329190592390711463784487153285677962506926168915872214164862568919124416779470793779277392510803994973760486317053102856253097665351201674433146058602354593299762357101898815969153267975041779648788878271645455592876751736479706535410945582984279977017503175348570530352855051906443063231931851454826185456449493404613540452358887093874973569363850013610632110839928776053520178901786023405129390195988946889888952728446594556125137296804270998629580675440642899253433653286189444925547178354363069876151270092077518200493512632986221744253381903205625106466062595946711360292089380967009804526673038925356477769145380077490025136841960941061021206025771295209345418337030189233572782602137603956231971326585037338463151946591962539687661027786151333372068794923028418123405411354458142757047179864557125423566256049535647659258650560431598051643451465493303040334806351191345327717912631817947820338858826579337177314712135460632704138059157735450234767992088722310721466189465329604063069125346970586589112450848807176961355827176466842122185345749427979025642393131225926223991531112610381880352282860602515129387863142140517965573293934183952284161192523033893924918948625828655582877121803833815631726186680180635554629950758747287084247345334037534601260162951544631534471249902613425299633925674264338024900073625740883029168238304001103827406881465015521757214858415579598363866251783611697311642597479703755245928935995167936191064572901813293982084764347951974793154971177599551834003875127291612177581039105876833778675664606585557503594016283605121819010943392766082598152776692194304346491421707873197842044983429731422367430143459468908282763066251565399172374098321506760995991858}
15141   496338925120302931859426115846048931196576109921045899176966968: {30278,60548,317751,378275,453930,484192,544716,771171,1376011,1404951,1676211,1965730,2127831,2190515,2328634,2358876,2628618,2759091,3326620,3822071,3991944,3996995,4365923,4447715,4490937,4542391,4796394,4817219,4824951,5337258,5904491,5927432,6246995,6436171,6489130,6553834,6668361,7258771,7462858,7496394,7696171,7786956,7797911,7938525,8121651,8467760,8564631,8662234,8789891,8888599,8918583,9194530,9362620,9450625,9526230,9728908,10161312,10512851,10770531,10837351,10902922,10994530,11033436,11209911,11235144,11340750,11431476,11999283,12046523,12086871,12096800,12262012,12284074,12374620,12450298,12499115,12629452,12639537,12684803,13118131,13193436,13354588,13386515,13608900,13659351,13833591,13898440,14094771,14217611,14516160,14714915,14849544,14970634,14998938,15481930,15483904,15635745,15837031,15905914,15916983,16063818,16262871,16330680,16630282,16648618,16678128,16705737,16780983,16862794,17288731,17419392,17455699,17517160,17556531,17657898,17728611,17786140,17801915,18060796,18168971,18372015,18578316,18587571,18666131,18762894,18954091,19119515,19358583,19510492,19596816,19706805,19849228,19996115,20770594,21020592,21206698,21253834,21343368,21362298,21386620,21744995,21914583,22041271,22046418,22199914,22338483,22374268,22600072,22624330,22943418,23648166,23783740,23943831,23962051,23995338,24011289,24635818,25205091,25425081,25624311,25663944,25755683,26091995,26093994,26210211,26920378,26961783,27149196,27315923,28251995,28356040,28463171,28537036,28540488,28570594,28624983,28682915,28871937,28977994,29007131,29370291,29419831,29438519,29759452,29814394,29948631,30138465,30361011,30362620,30564424,30832115,31091923,31101783,31236514,31254538,31268552,31310394,31386839,31430391,31487530,31863223,31900545,31932556,31963240,32076154,32108049,32147696,32156956,32346658,32413911,32472811,33149283,33766762,33902394,34027248,34159258,34252115,34289331,34384977,34419498,34857591,34884491,34906123,34913512,35103515,35150236,35170291,35177121,35879125,35958645,36166158,36435144,36716451,36801995,36810919,36848188,36998538,37225715,37752393,37785036,37885834,37921911,37936423,37948828,38181011,38280654,38296245,38324938,38355888,38621323,39148439,39277701,39570103,40078131,40365178,40598731,40849328,40954123,40989537,41080919,41102538,41877525,42028330,42124218,42462923,42558178,42701315,43010231,43016716,43054950,43119995,43150374,43304311,43359211,43538315,43632951,43887754,43970891,44085148,44108194,44162394,44416311,44649340,44669360,44670858,44791115,44943325,45144091,45366321,45518890,45695074,45820311,45925280,45955494,46389730,46640971,46674483,46871915,46979932,47448483,47513788,48173308,48350236,48653384,48798940,49066071,49865890,50242234,50253030,50433996,50825571,50834842,51056481,51102851,51241578,51298763,51322108,51358551,51586611,51652931,51665940,51743994,52245978,52420983,53176983,53478451,53579208,53603232,53749338,53855331,53931990,54007525,54122620,54194890,54216892,54231351,54419464,54622668,54735057,54744643,54747658,55110336,55263691,55575676,55638178,55665994,55667676,55949205,56246298,56423863,56426711,56508872,56508971,56855356,56995251,57426791,57487523,57527456,57664540,57952715,58032483,58208311,58330679,58423834,58505890,58558728,58696791,58770483,58776538,58795723,58983251,58988071,59150611,59432631,59518954,59579511,59679152,59839068,59872983,60276609,60303636,60424732,60781525,60970083,61042858,61103458,61140331,61221897,61358131,61503863,61771191,61941730,61999128,62129111,62358472,63076739,63194315,63572481,63671491,63941271,63978145,64059751,64204750,64530634,64718388,64809030,64947144,64953923,65018211,65033868,65359162,65878569,65991515,66278289,67052323,67139046,67362113,67439283,67876840,68099745,68125771,68428131,68581468,68872042,69129632,69166715,69197448,69271971,69543258,69561995,69563338,69687959,69749019,69972531,70083741,70153281,70207068,70809658,70905011,71131594,71774620,72021532,72059811,72229738,72405591,72451708,72639728,72937830,73037818,73065537,73317223,73437436,73645431,73873211,73886315,73891531,74330076,74386499,74467671,74644636,74740983,74934412,74948963,75082083,75527191,75681525,75833178,76026691,76361445,76466338,76467799,76773774,77045700,77071498,77183511,77190465,77391995,77745911,77770836,77800352,77847129,78001498,78124983,78210940,78279418,78316331,78393111,78902725,78930874,78948130,78972874,79037623,79065239,79189818,79195191,79395171,79794483,79893772,80126583,80398499,80482888,80726960,80931191,81071125,81311671,81452208,81648392,81719694,81778083,81789863,81862979,82112572,82182080,82336496,82580314,82699834,83000058,83088483,83153751,83154730,83349411,83433025,83462620,83474394,83554588,83766619,83881245,83993890,84069352,84218277,84303898,84463138,84477436,84712983,85077995,85271851,85339605,85458515,85827191,85892122,86065971,86129544,86187754,86306458,86642583,86827123,86830750,87343330,87355715,87525396,88085431,88487331,88489715,88640771,88654411,88663578,88696738,88866483,89105338,89473328,89810583,90061431,90372515,90374451,90501994,90543249,90817830,90905241,90967612,91028912,91123251,91137299,91335659,91397350,91513930,91633734,91682583,91854441,92186620,92239971,92297338,92454840,92507818,92628558,92643658,92870394,92980131,93118123,93508903,93778071,93853128,93904151,94051144,94482995,94578021,94683270,94737756,94824851,94898323,95084458,95546984,95978651,96231590,96268083,96308123,96872352,96895737,97050871,97188028,97285350,97322530,97527831,97813715,97964098,98109991,98261578,98263018,98413217,98421171,98517128,98549915,98618496,98836045,98875618,98921505,98928316,99191031,99354658,99544983,99650572,99785676,99798323,99858625,99939331,...,107392158174680037890099785938673833844743432285998629503407950363845121209931520442580664983697963492184107295878680727682753061163932847122635315096181583966948327222323929169378528215267743363342114072587322943120953664436452607245392943710369416164383582532571039532290338796943076010463879192533338558897100331934939806514442877432253945990352160991131666430847031170594430233277229058427907854546153745850692254965647288206782590368780489069867130588897165509227849246068817556388470338284911423568663874929133566063744749619498080728705292846744414503351264156777351009426127433721708826705361747445350058093428486062259869114897893734883005450989028712135495019077352485006944890375835902305915782121721617993785888586067195676730729928516943760389253373808321247293853378686625169206190668916088766205992460640729475579654284379646498026802511649719087903531889949643535652848223953729901962562669473183317407468183389315127604719559803116418374476419965526254763022855795529282577859664594847897777182239278184674240106920310678538330640812460354045775020415948166259893164080280268352679035107694085293983420334833429092669891834187705945206406497944371013160964348880150479929284167388320767531544604814226905138116277300740268949479332616380072854808437659699093893920067040438134071450514706790009558388034716653718070116235037705262941411591531809038656942814018127505545283850359173903206405934347956989877556007694727919887943809531491541679227000058103192384542627185108117031687214135570769796835688135349384074303471488887975840647397077465177198239954560502209526787017991576868947726921730508288239869005765972068203190949056207088736603175352151988133083466082199284197994406094603688020455879883668676273210765442033740764700263183278018624141968538463589696838889335987296668915572820528424290903772694081794713210776948359940901275928426241788784550840887378422938742983374315682705750723447589280020270953331944926138120930626371018001056301901890244427316947301706874853920137949450888511396507037350110438611324543752357456001655741110322197523282635822287623369397545799377675417545967463896219555632868893403992751904286596859352719940973127146521927962189732456766399327751005812690937418266371558658815250668013496909878336255391024425407682728516415089149123897229165038291456519737132561809796763067475144597133551145215189203362424144599377348098758561147482260141493987787}
15142   498575924405561286126536618430407132175355787918256810439284400: {45417,75685,90822,166441,423668,574598,605240,619141,680895,726288,817074,889897,1028228,1339717,1873268,2019782,2234948,2379638,2589637,2837108,2855641,2948595,3145168,3276758,3492951,3504824,3538314,3678788,3737641,3813302,3913177,3942927,4158275,4612441,4704662,4989930,5186503,5307097,5322592,5652697,5738917,5769542,5911141,5987916,6168937,6300038,6395192,6433268,6511657,7116344,7194591,7363417,7409290,7448197,7617541,8005887,8058998,8627557,8711257,8891148,9281702,9461317,9733695,9830751,9995192,10370137,10382608,10584700,10828868,11016182,11107237,11194287,11244591,11419508,11680434,11703275,11757541,11891444,12000217,12049958,12161135,12701640,12993351,13420262,13548416,13791795,13918297,14043930,14272022,14289345,14360708,14593362,14711248,14939941,14946548,14980192,15121000,15241968,15327515,15329641,15468275,15562597,15786815,15964742,15999044,16115828,16354383,16491795,16550154,16693235,16805702,16852716,17011125,17099077,17147214,17373050,17478697,17591248,17643062,17781097,18007141,18145200,18212468,18393018,18426111,18444788,18561930,18675447,18755941,18793028,18944178,19141238,19354880,19644997,19775063,19790154,19799392,19865641,19968518,19998584,20031882,20377957,20413350,20463158,20741737,20847660,21120662,21222644,21284678,21418424,21612278,21683828,21774240,21893737,21896450,22232675,22237504,22274316,22374644,22455951,22498407,22575995,23097541,23222895,23225856,23408708,23543864,23638148,23763311,23858871,24095727,24142441,24388115,24496020,24534758,24771088,24783428,24811535,24945423,24972927,25017192,25171141,25294191,25307077,25811444,26049577,26129088,26138198,26275740,26486847,26679210,26717017,26733275,26743871,27091194,27359983,27377257,27410582,27835141,27867474,27967835,28027456,28043318,28129234,28144341,28201142,28250090,28457824,28483064,28932457,29145062,29219444,29265738,29395224,29729675,29773842,29784644,29883397,30071641,30083798,30549323,30570457,30591224,31155891,31530888,31636838,31810047,31880751,31918441,31925108,31993784,32015052,32043447,32079930,33069627,33231577,33299871,33561402,33606788,33875077,33900108,33936495,33991141,34165748,34218592,34396022,34415127,34717199,34738537,34791992,34946948,35135941,35305177,35445050,35472249,35529817,35671295,35675610,35743162,35864617,35949044,35993007,36198928,36416857,36635737,36710531,36799141,36953727,37199315,37953275,38002358,38053984,38166644,38205530,38240617,38292997,38495916,39085690,39140991,39160388,39186038,39325477,39579097,39627542,39774422,39915695,39921158,39931508,39954050,40184620,40196195,40214198,40214834,40380567,40427941,40481348,40723794,41469044,41495557,41733337,41747192,41907188,41960342,42016297,42104918,42110041,42482137,42534060,42571711,42805554,42810732,42855891,43218548,43257541,43466991,43570777,43641890,43703941,43937795,43971302,44055877,44199044,44639178,44721591,44824502,44915557,45084037,45203192,45369664,45541417,45543930,45672518,45719108,45846636,45892664,46060235,46234982,46310917,46350697,46476788,46509097,46548517,46655318,46854771,46881807,46902828,46965591,47074358,47231295,47321797,47436035,47585641,47617031,47898834,47944860,48047078,48114231,48221544,48235434,48391897,48519987,48580192,48737558,48746857,48955268,48956377,49331384,49367641,49445263,49636057,49698182,50030041,50126917,50286937,50336524,50350441,50380048,50562548,50570437,50650143,50725417,50756197,50853591,50909017,50969641,51040872,51061660,51119941,51141184,51238887,51629247,52176217,52203397,52219258,52370268,52391641,52403942,52576357,52602457,52725354,52954319,53109337,53399641,53437508,53633641,53702437,53770895,53860441,54187141,54249237,54354757,54395941,54537817,54563663,54652716,54656617,54791941,54803384,55106435,55159141,55194277,55246441,55272282,55280857,55365637,55444358,55497807,55574822,55732441,55762537,55811675,55836700,55851097,55922917,56061157,56095238,56114437,56165624,56316037,56375257,56594137,56677554,56692777,56827237,56828751,56868457,56884441,56923242,56960041,57015337,57101017,57177157,57270757,57305641,57314857,57319897,57386198,57406600,57420981,57487407,57533832,58026278,58177268,58724915,58789622,58883192,59221748,59295638,59392235,59561144,59924918,60216635,60437795,60488428,60547767,60675302,60799862,60816730,60998675,61093748,61273992,61653807,61914422,62125514,62232644,63042495,63186327,63260822,63264644,63559762,63624998,63837267,63987878,64152635,64229078,64349462,64525074,64582425,64725561,64906391,65068742,65421428,65831631,66127722,66162291,66243591,66353794,66844262,66961478,66974010,67004040,67006287,67245328,67312262,67526591,67545398,67653275,67767428,67771115,67777958,68024330,68075308,68125718,68278335,68322104,68472182,68478068,68542611,68782148,68887920,68933241,68991992,69046742,69469595,69584595,69661304,69894644,70071878,70422527,70469898,70636090,70748822,70822063,70902644,71069195,71270682,71438944,71442343,71470976,71665784,71807108,71909320,72044434,72080675,72259962,72308468,72525354,72830224,72980076,73198410,73480448,73560683,74055782,74142083,74223568,74598940,74798835,74995064,75363351,75379545,75530915,75650994,75872198,75993668,76083158,76188422,76252263,76712582,76862367,76983162,77336822,77376644,77498910,77615991,77948090,78078304,78161078,78262388,78263462,78289162,78360644,78365702,78368967,78445631,78467798,79178438,79243508,79439348,79650298,79785424,79830644,80368812,80404848,80624007,80874902,80897985,81183930,81292335,81293444,81325338,81629196,81934002,82121487,82240742,82294751,82361588,82665504,83294102,83363514,83457267,83498991,83501514,83603611,83672822,83767142,84236582,84369447,84609542,84763308,84846050,85255028,85283034,85720151,85726835,86202487,86291184,86412040,86496810,86529782,86596192,86690948,86711824,86977622,87436151,87510278,87635751,87758835,87838092,88164807,88299542,88371052,88396451,88646582,88758299,89278431,89418998,89504102,89518728,89718275,89758602,89919044,89927462,90026915,90430742,90455454,90564635,90637098,90799660,91237508,91258022,91418063,91564287,91655187,91796795,91909478,92263264,92311958,92326738,92362628,92724344,92869382,92912595,92998692,93296708,93305795,93444988,93537708,93609424,93668015,95550662,95919302,96079748,96307125,96540788,96666947,96795951,97077582,97213545,97250440,97420716,97428278,97550802,97708502,97763675,98038743,98193908,99075062,99106768,99290228,99654644,99867215,...,143189544232906717186799714584898445126324576381331506004543933818460161613242027256774219978263951322912143061171574303577004081551910462830180420128242111955931102963098572225838037620356991151122818763449763924161271552581936809660523924947159221552511443376761386043053785062590768013951838923377784745196133775913253075352590503243005261320469547988175555241129374894125906977702972077903877139394871661134256339954196384275710120491707318759822840785196220678970465661425090075184627117713215231424885166572178088084992999492664107638273723795659219337801685542369801345901503244962278435607148996593800077457904648083013158819863858313177340601318704949513993358769803313342593187167781203074554376162295490658381184781422927568974306571355925013852337831744428329725137838248833558941587558554785021607989947520972634106205712506195330702403348866292117204709186599524714203797631938306535950083559297577756543290911185753503472959413070821891165968559954035006350697141060705710103812886126463863702909652370912898986809227080904717774187749947138727700027221264221679857552107040357803572046810258780391977893779777905456893189112250274593608541997259161350881285798506867306572378889851094356708726139752302540184155036400987025265972443488506763806411250212932125191893422720584178761934019609053346077850712955538290760154980050273683921882122042412051542590418690836674060378467145565204275207912463942653170074676926303893183925079375322055572302666744137589846056836246810822708916285514094359729114250847132512099071295318517301120863196103286902930986606080669612702382690655435825263635895640677717653158674354629424270921265408276118315470900469535984177444621442932378930659208126138250693941173178224901697614353922711654352933684244370691498855958051284786262451852447983062225220763760704565721205030258775726284281035931146587868367904568322385046067787849837897251657311165754243607667631263452373360361271109259901517494574168494690668075069202520325903089263068942499805226850599267851348528676049800147251481766058336476608002207654813762930031043514429716831159196727732503567223394623285194959407510491857871990335872382129145803626587964169528695903949586309942355199103668007750254583224355162078211753667557351329213171115007188032567210243638021886785532165196305553384388608692982843415746395684089966859462844734860286918937816565526132503130798344748196643013521991983716}
15143   500822925203905421790971675073854958700005545614421498532332680: {60556,121096,136233,529585,635502,756550,861897,907860,968384,1089432,1225611,1285285,1542342,1829641,2341585,2752022,2793685,2809902,3029673,3066721,3352422,3546385,3569457,3931460,4255662,4381030,4516993,4598485,4657268,4717752,4879561,4915137,5149441,5257236,5307471,5518182,5595793,5693077,5719953,6226801,6599137,6653240,6806041,7056993,7484895,7644142,7983888,7993990,8041585,8654313,8731846,8745793,8895430,8981874,9084782,9215713,9450057,9592788,9634438,9649902,9782377,10065697,10388053,10674516,11025673,11113935,11749657,11762641,11808982,11854864,12088497,12493990,12835633,12872342,12978260,13081057,13107668,13230875,13336722,13463761,13536085,13559617,13580773,13922553,14274385,14517542,14864305,14911153,14925716,14992788,15392342,15573912,15595822,15877050,16177621,16243302,16293913,16524273,16699441,16935520,17129262,17324468,17498761,17520651,17579782,17777198,17837166,17921797,17950885,18074937,18389060,18680773,18683185,18725240,18741121,18901250,19052460,19457816,19998805,20130393,20144785,20306497,20322624,20437777,20600881,21025702,21065895,21408033,21541062,21674702,21805844,21890043,21989060,22059973,22066872,22419822,22470288,22681500,22765585,22862952,23055985,23148757,23196673,23491285,23947113,23998566,24093046,24173742,24193600,24524024,24557137,24568148,24749240,24825231,24900596,24922681,24998230,25208553,25258904,25279074,25317541,25369606,25720821,26059575,26236262,26386872,26464593,26528305,26628757,26709176,26767321,26773030,26839417,27104785,27217800,27318702,27531937,27589527,27667182,27796880,27826501,27842895,27968305,27994561,28189542,28416267,28435222,28711857,28839973,29032320,29260885,29429830,29518933,29547685,29685231,29699088,29767441,29941268,29952777,29997876,30047823,30422113,30442993,30529561,30620025,30694737,30768457,30963860,30967808,30979285,31271490,31674062,31680993,31715497,31811828,31833966,31927017,32127636,32264305,32418417,32525742,32661360,32844675,33260564,33297236,33356256,33411474,33561966,33638293,33725588,34577462,34790977,34838784,34911398,35034320,35113062,35315796,35457222,35572280,35575273,35603830,36121592,36179617,36337942,36524305,36528793,36744030,36802137,36946993,37093537,37156632,37175142,37230805,37332262,37525788,37908182,38239030,38717166,39020984,39193632,39207297,39413610,39476041,39552793,39698456,39906385,39952261,39992230,40018815,40156081,40636791,41115873,41541188,41801211,42008485,42041184,42064977,42193851,42242821,42301713,42375135,42413396,42507668,42686736,42707185,42724596,42773240,43016017,43164961,43489990,43683685,43717593,43755241,43829166,43898607,43973077,44082542,44092836,44399828,44660763,44676966,44748536,44936305,45123013,45125697,45200144,45248660,45483721,45886836,45904441,46266337,47001937,47211433,47296332,47455257,47458561,47567480,47708305,47887662,47924102,47952961,47990676,48022578,48119895,48550177,48950485,49143937,49144921,49271636,49450981,49914385,49997221,50230775,50342103,50410182,50601685,50702641,50830273,50850162,51248622,51327888,51511366,51522793,51594033,51836305,51987337,52116001,52183990,52187988,52383985,52420422,53167575,53513415,53595673,53614743,53840756,53923566,54023185,54298392,54631846,54782437,55248805,55758121,56073793,56503990,56712080,56751937,56920417,56926342,57003537,57074072,57080976,57141188,57148885,57249966,57308295,57365830,57386857,57743874,57955988,57994021,58014262,58095985,58100773,58565713,58628535,58740582,58779057,58839662,58877038,59362201,59441313,59474113,59518904,59628788,59661633,59781841,59881737,59897262,59931075,60276930,60321297,60322251,60367993,60485881,60556177,60722022,60725240,60953641,61044373,61085691,61128848,61194085,61505257,61664230,62183846,62191057,62203566,62473028,62509076,62537104,62620788,62707561,62773678,62860782,62889457,62920655,62940513,62975060,63157377,63203185,63726446,63801090,63827075,63865112,63926480,64152308,64208331,64216098,64250761,64295392,64313912,64693316,64827822,64945622,64962661,64978441,65462835,65583097,65620681,65922457,65956953,66238777,66298566,66686113,66796885,66958767,67236753,67533524,67616113,67804788,67812217,68054496,68099221,68315895,68318516,68504230,68508777,68578662,68769954,68838996,68936257,69352473,69715182,69768982,69795875,69812246,69827024,69982977,70011337,70207030,70300472,70340582,70354242,70611537,70673377,71409673,71758250,71848251,71917290,72070617,72332316,72353151,72388321,72519337,72595561,72721585,72870288,73106337,73425313,73432902,73603990,73621838,73696376,73997076,74027185,74451430,74545237,74547273,74709217,75504786,75570072,75610535,75771668,75843822,75872846,75877861,75897656,76362022,76367185,76406713,76561308,76592490,76649876,76711776,77206657,77242646,77790805,78296878,78328887,78430897,78555402,78605913,78819973,79080805,79088031,79140206,79246777,79574713,79779433,80117857,80156262,80320537,80730356,80942257,81133801,81197462,81698656,81776785,81908246,81979074,82161838,82205076,82358497,82457941,82474297,82564177,82658497,82908423,83166537,83362233,83755050,84056660,84142857,84248436,84320377,84709285,84925846,84968593,85016331,85094135,85116356,85384863,85402630,85597585,85838737,85977685,86020462,86033432,86079297,86109900,86239990,86300748,86608622,86718422,86831041,87039417,87076630,87181321,87265902,87368305,87530017,87775508,87911317,87941782,88170296,88184433,88216388,88324788,88472041,88628305,88832622,88943457,89283697,89298680,89338720,89341716,89349961,89569403,89582230,89758885,89886650,89887377,90123001,90288182,90385585,90732642,91012953,91037780,91149817,91199793,91225095,91390148,91457641,91640622,91850560,91883137,91910988,92081401,92308081,92388121,92561641,92779460,92871633,93188271,93248675,93281942,93348966,93440737,93548773,93743830,93959864,94564753,94677577,94891233,94896966,94992085,95014921,95027576,95339643,95437497,95645953,95757937,95791057,95981817,96300097,96343617,96346616,96524193,96700472,96720805,96747157,96787611,96833401,97306768,97386793,97455781,97597880,97603113,97714081,97827985,97901617,97950805,98001121,98132142,99054385,99069097,99191583,99299185,99530691,99731780,99788305,99837337,99919153,...,214784316349360075780199571877347667689486864571997259006815900727690242419863040885161329967395926984368214591757361455365506122327865694245270630192363167933896654444647858338757056430535486726684228145174645886241907328872905214490785887420738832328767165065142079064580677593886152020927758385066677117794200663869879613028885754864507891980704321982263332861694062341188860466554458116855815709092307491701384509931294576413565180737560978139734261177794331018455698492137635112776940676569822847137327749858267132127489499238996161457410585693488829006702528313554702018852254867443417653410723494890700116186856972124519738229795787469766010901978057424270990038154704970013889780751671804611831564243443235987571777172134391353461459857033887520778506747616642494587706757373250338412381337832177532411984921281458951159308568759292996053605023299438175807063779899287071305696447907459803925125338946366634814936366778630255209439119606232836748952839931052509526045711591058565155719329189695795554364478556369348480213840621357076661281624920708091550040831896332519786328160560536705358070215388170587966840669666858185339783668375411890412812995888742026321928697760300959858568334776641535063089209628453810276232554601480537898958665232760145709616875319398187787840134080876268142901029413580019116776069433307436140232470075410525882823183063618077313885628036255011090567700718347806412811868695913979755112015389455839775887619062983083358454000116206384769085254370216234063374428271141539593671376270698768148606942977775951681294794154930354396479909121004419053574035983153737895453843461016576479738011531944136406381898112414177473206350704303976266166932164398568395988812189207376040911759767337352546421530884067481529400526366556037248283937076927179393677778671974593337831145641056848581807545388163589426421553896719881802551856852483577569101681774756845877485966748631365411501446895178560040541906663889852276241861252742036002112603803780488854633894603413749707840275898901777022793014074700220877222649087504714912003311482220644395046565271644575246738795091598755350835091934927792439111265737786807985503808573193718705439881946254293043855924379464913532798655502011625381874836532743117317630501336026993819756672510782048850815365457032830178298247794458330076582913039474265123619593526134950289194267102290430378406724848289198754696197517122294964520282987975574}
15144   503079971873549408305854237347272681130624594533208343580432792: {75695,90834,105959,151370,181644,196703,332882,347783,558959,649343,799823,847336,920063,953253,1010159,1070183,1134825,1149196,1210480,1238282,1250063,1361790,1452576,1634148,1698503,1779794,1907159,1966703,2056456,2313513,2679434,2885543,2944559,3746536,3825959,4039564,4118159,4128033,4214853,4351343,4469896,4642103,4700159,4759276,4903103,4914325,5028633,5134559,5179274,5509583,5674216,5711282,5821585,5854559,5897190,6198383,6290336,6341303,6383493,6553516,6571545,6768863,6985902,7009648,7076628,7137959,7194623,7357576,7475282,7626604,7646783,7826354,7885854,8277273,8316550,8544959,8628743,8740343,8823959,9224882,9296423,9409324,9876863,9979860,10373006,10563263,10614194,10645184,10699943,10890959,11305394,11434559,11466213,11477834,11539084,11759183,11786183,11822282,11975832,11990985,12324503,12337874,12600076,12790384,12866536,13023314,13097769,13311959,13343145,13444559,13472811,13627173,13709159,13761983,14025623,14232688,14389182,14451657,14474853,14726834,14818580,14896394,14942063,14968103,15235082,15279959,15357743,16011774,16117996,16222825,16384585,16490303,16898303,17025383,17025589,17126903,17202959,17255114,17422514,17713473,17782296,18034823,18563404,18657145,18740985,18922634,19006703,19308513,19467390,19524983,19647863,19661502,19819559,19868543,19893023,19990384,20005083,20599463,20740274,20765216,20841503,21106823,21169400,21275159,21458521,21655585,21657736,21753959,21776313,21920783,22032364,22101541,22214474,22347959,22388574,22466159,22489182,22772543,22839016,22986325,23088513,23124383,23241263,23360868,23370529,23393733,23404559,23406550,23515082,23753159,23782888,23815575,24000434,24099916,24322270,24364953,24376103,24559559,24902159,25403280,25693893,25986383,25986702,26209943,26254559,26369673,26477159,26665797,26755749,26840524,27096832,27184103,27257305,27486325,27512663,27583590,27795959,27836594,27839423,27861143,28056263,28083913,28087860,28351875,28509023,28544044,28578690,28701983,28721416,28872959,29022143,29186724,29422496,29879882,29893096,29960384,30242000,30388703,30483936,30655030,30659282,30710185,30822983,30936550,31008023,31069559,31125194,31125745,31335383,31538553,31573630,31606393,31640423,31923503,31929484,31998088,32044343,32231656,32311593,32512053,32524823,32708766,32783159,32941463,32983590,33079559,33100308,33177959,33315383,33386470,33471959,33530543,33611404,33629733,33666959,33705432,33705863,33899903,34022250,34112423,34143361,34198154,34247159,34294428,34534559,34572743,34736149,34746100,34957394,34971743,35182496,35286124,35535623,35562194,35666159,35997849,36014282,36139569,36260613,36290400,36424936,36441143,36768959,36786036,36852222,36889576,37123860,37350894,37426585,37497345,37511882,37586056,37665959,37888356,37895903,37918611,38054409,38142023,38247023,38282476,38369159,38403983,38704825,38709760,38715959,39154969,39196103,39281183,39289994,39349103,39354393,39450743,39550126,39580308,39598784,39602663,39731282,39764785,39937036,39997168,40037903,40063764,40159545,40451303,40484159,40755914,40826700,40843463,40926316,40973159,40978053,41029417,41134559,41214959,41483474,41500773,41502743,41575705,41621545,41693159,41695320,42132983,42156985,42164159,42241324,42284313,42319559,42350543,42445288,42569356,42597263,42652833,42811463,42836848,43054343,43224556,43280183,43355063,43367656,43385173,43548480,43787474,43792900,44078303,44144745,44194559,44339159,44465350,44475008,44548632,44668703,44749288,44768159,44911902,44937743,44979959,44996814,45092183,45151990,45672959,46195082,46239623,46319423,46372463,46445790,46451712,46517663,46609559,46817416,46907235,47037503,47087728,47101583,47216423,47276296,47406383,47511093,47526622,47631959,47717742,47750949,47780903,47854943,47977703,48002159,48184559,48191454,48284882,48756143,48776230,48788613,48837959,48992040,49035023,49069516,49542176,49566856,49578959,49623070,49656743,49723103,49822103,49890846,49939813,49945854,50034384,50039783,50072159,50117211,50342282,50342949,50370863,50465543,50549159,50588382,50614154,50683943,50735423,50776463,50979743,51110159,51258959,51570383,51622888,51866193,51882959,51926485,51994463,52049783,52079041,52099154,52258176,52276396,52322063,52367097,52551480,52669593,52971263,52973694,53016745,53046143,53128583,53134585,53169503,53185833,53274959,53358420,53405745,53434034,53466550,53487742,53536583,53629559,53652623,53766863,53871863,53982623,54182388,54198743,54219959,54269183,54373343,54407663,54428159,54506913,54549623,54615983,54719966,54754514,54821164,54822959,54885959,54898463,55027823,55116045,55171343,55258703,55264463,55293143,55377983,55461023,55482863,55499785,55509983,55605959,55658159,55670282,55734948,55762713,55775183,55809959,55868663,55881973,55935670,55954559,55998393,56054912,56078543,56086636,56144903,56230583,56258468,56274673,56284559,56288682,56317103,56333183,56353103,56402284,56403959,56500180,56560825,56576543,56606341,56709503,56725223,56780159,56789063,56823959,56843783,56862273,56892959,56898263,56915648,56966128,56981159,56988263,57004559,57038159,57055343,57069959,57137159,57157943,57191543,57201959,57204863,57222959,57226943,57272183,57286343,57311159,57321959,57332783,57333959,57334223,57335063,57358545,57864914,58075749,58290124,58438888,58531476,58790448,59120415,59459350,59547684,59569288,59766794,59988345,60143282,60167596,61098646,61140914,61182448,61512913,61589545,62311782,62582377,63061776,63273676,63620094,63761502,63836882,63850216,63987568,64030104,64086894,64159860,64484329,65234985,65743749,66123813,66139254,66410449,66463154,66599742,67015449,67122804,67213576,67300945,67750154,67800216,67872990,67982282,68331496,68437184,68792044,68830254,69434398,69477074,69583984,69893896,70271882,70610354,70890100,70944498,71059634,71342590,71351220,71426485,71486324,71729234,71831493,71886153,71898088,71986014,72033867,72397856,72444985,72542437,72833714,73271474,73421062,73598282,73907454,74398630,74535985,75279253,75615273,75906550,76004716,76107968,76275243,76333288,76411060,76481234,76585994,76707553,76872933,76991832,77149009,77267049,78091285,78136345,78171380,78275985,78281982,78320776,78372076,78630633,78650954,78718825,79158194,79255084,79548844,79804153,79831390,79842316,79863016,79908100,80190385,80369240,80392390,80428396,80429668,80761134,80855882,80866645,80885349,80962696,81447588,81947769,82214881,82864681,82938088,82991114,83149129,83466674,83494384,83814376,83920684,84032594,84209836,84220082,84303289,84416905,84612913,84755985,84964274,85068120,85143422,85389513,85398145,85611108,85621464,85711782,85874949,86048745,86437096,86515082,86615811,86933982,87021393,87141554,87283780,87407882,87875590,87942604,88110873,88111754,88259493,88315557,88398088,89278356,89443182,89649004,89813689,89831114,89845893,90168074,90406384,90415395,90739328,91082834,91083033,91087860,91345036,91438216,91693272,91785328,92120470,92469964,92496345,92621834,92701394,92708473,92953576,93018194,93097034,93275769,93305349,93310636,93709542,93763614,93805656,93931182,94148716,94160517,94291173,94462590,94643594,94714585,94872070,94879561,95171282,95234062,95589669,95701635,95797668,95812345,95889720,96094156,96228462,96324147,96443088,96470868,96783794,97039974,97160384,97241733,97257433,97418433,97475116,97493714,97722757,97910536,97912754,98662768,98735282,98890526,99272114,99396364,99447849,99496873,...,322176474524040113670299357816021501534230296857995888510223851091535363629794561327741994951093890476552321887636042183048259183491798541367905945288544751900844981666971787508135584645803230090026342217761968829362860993309357821736178831131108248493150747597713118596871016390829228031391637577600015676691300995804819419543328632296761837971056482973394999292541093511783290699831687175283723563638461237552076764896941864620347771106341467209601391766691496527683547738206452669165411014854734270705991624787400698191234248858494242186115878540233243510053792470332053028278382301165126480116085242336050174280285458186779607344693681204649016352967086136406485057232057455020834671127507706917747346365164853981357665758201587030192189785550831281167760121424963741881560136059875507618572006748266298617977381922188426738962853138939494080407534949157263710595669848930606958544671861189705887688008419549952222404550167945382814158679409349255123429259896578764289068567386587847733578993784543693331546717834554022720320760932035614991922437381062137325061247844498779679492240840805058037105323082255881950261004500287278009675502563117835619219493833113039482893046640451439787852502164962302594633814442680715414348831902220806848437997849140218564425312979097281681760201121314402214351544120370028675164104149961154210348705113115788824234774595427115970828442054382516635851551077521709619217803043870969632668023084183759663831428594474625037681000174309577153627881555324351095061642406712309390507064406048152222910414466663927521942191232395531594719863681506628580361053974730606843180765191524864719607017297916204609572847168621266209809526056455964399250398246597852593983218283811064061367639651006028819632296326101222294100789549834055872425905615390769090516668007961890006746718461585272872711318082245384139632330845079822703827785278725366353652522662135268816228950122947048117252170342767840060812859995834778414362791879113054003168905705670733281950841905120624561760413848352665534189521112050331315833973631257072368004967223330966592569847907466862870108192637398133026252637902391688658666898606680211978255712859790578058159822919381439565783886569197370299197983253017438072812254799114675976445752004040490729635008766173073276223048185549245267447371691687495114874369559211397685429390289202425433791400653435645567610087272433798132044296275683442446780424481963361}
15145   505347108967865691116742564905676586213544980897530733209131677: {121112,136251,227055,242192,272466,499323,741419,1059170,1271004,1436495,1513100,1723794,1799399,1815720,1857423,1936768,2042685,2162303,2178864,2451222,2570570,2669691,3084684,3278219,3659282,3911159,4019151,4683170,4964939,5049455,5453627,5504044,5587370,5619804,5949095,6059346,6085703,6133442,6437879,6704844,7092770,7138043,7138914,7768911,7862920,8043503,8191895,8511324,8566923,8762060,8845785,9033986,9196970,9314536,9435504,9492239,9533255,9759122,9830274,10113983,10298882,10478853,10514472,10614942,10759883,11036364,11191586,11212923,11258219,11386154,11439906,11560991,11739531,11761655,11828781,12093983,12322811,12453602,12474825,13198274,13306480,13612082,13837323,13901303,14113986,14423855,14494763,14969790,15178511,15288284,15459431,15559509,15750095,15921291,15967776,15987980,16083170,16958091,17030123,17154479,17216751,17293319,17308626,17463692,17491586,17733423,17790860,17963748,18169564,18431426,18506811,18523225,18796031,18900114,18950519,19157783,19185576,19268876,19299804,19534971,19564754,19735703,19984139,20131394,20147495,20776106,20810027,20878511,21130583,21349032,21583773,22051346,22090251,22227870,22344591,22852623,23204255,23499314,23525282,23617964,23709728,24017661,24176994,24745223,24786119,24886763,24987980,25131239,25671266,25744684,25882671,25956520,26133771,26156459,26162114,26191079,26215336,26461750,26552543,26673444,26927522,27072170,27119234,27161546,27540455,27845106,27998327,28202699,28383951,28465223,28548770,29022071,29035084,29201085,29492253,29728610,29822306,29851432,29985576,30124895,30784684,31100207,31110411,31147824,31191644,31719311,31754100,31871819,32232911,32278379,32355242,32486604,32587826,32887799,33048546,33321711,33398882,33550655,33582861,33733773,33871040,34258524,34636283,34648936,34997522,35041302,35109825,35159564,35179703,35272623,35554396,35674332,35680055,35843594,35901770,36000651,36149874,36483405,36778120,37139627,37361546,37366370,37450480,37481951,37482242,37637591,37802500,37946699,38104920,38674763,38915632,38980053,39155627,39911855,39997610,40260786,40289570,40612994,40645248,40875554,40965239,41201762,41366759,41375385,41754891,42014255,42051404,42131790,42816066,42868035,43082124,43349404,43370999,43432625,43611688,43780086,43978120,44107655,44119946,44133744,44652527,44819823,44839644,44843831,44940576,44987783,45156119,45170027,45363000,45531170,45725904,45889643,45982545,45988923,45991919,46111970,46231163,46297514,46393346,46404825,46653503,46687791,46982570,47005703,47332619,47360445,47853095,47894226,47900651,47997132,48186092,48347484,48387200,48595223,49048048,49063149,49114274,49136296,49475385,49498480,49650462,49801192,49845362,49921295,49996460,50070779,50079705,50417106,50504807,50517808,50558148,50635082,50739212,50834747,50837111,51028703,51033375,51134027,51157895,51297231,51441642,52119150,52123127,52436091,52472524,52773744,52801655,52929186,53056610,53211695,53257514,53343291,53418352,53534642,53546060,53678834,54021423,54030695,54209570,54250703,54435600,54637404,54741125,54852479,55063874,55179054,55278333,55334364,55593760,55653002,55685790,55868939,55879247,55936610,55989122,56026341,56267823,56379084,56832534,56870444,57423714,57454751,57679946,58064640,58521770,58811879,58859660,58934991,59037866,59095370,59325189,59370462,59398176,59534882,59596923,59614379,59790059,59882536,59905554,59921303,59995752,60095646,60844226,60845963,60885986,60992039,61059122,61133871,61157159,61240050,61336895,61374479,61389474,61536914,61927720,61935616,61958570,62225211,62542980,62859431,62910827,63348124,63361986,63430994,63623656,63667932,63854034,64255272,64356479,64528610,64660991,64816847,64836834,65021303,65051484,65322720,65345495,65681211,65689350,66269831,66521128,66594472,66698025,66712512,66791627,66822948,67070471,67123932,67276586,67367853,67451176,67495221,67601867,67727985,67820831,68135903,68302571,68526455,68530679,69154924,69292623,69581954,69668685,69677568,69822796,69880139,69933359,70068640,70108295,70226124,70323085,70502855,70625225,70631592,70842359,70914444,71144560,71150546,71207660,71289933,71566391,71576613,72243184,72287181,72359234,72427323,72570827,72605327,72675884,72688031,72795719,72862655,73048610,73057586,73164345,73337579,73488060,73604274,73893986,74187074,74313264,74350284,74434605,74461610,74664524,74836269,74918781,75051576,75209495,75513423,75547403,75632459,75816364,75882573,75921231,76478060,76792703,76985567,77348327,77350799,77380619,77434332,78041968,78148731,78282191,78387264,78414594,78827220,78952082,79092095,79105586,79396912,79460541,79810811,79812770,79904522,79984460,80008439,80037630,80141711,80151051,80199825,80231613,80312162,81273582,81334379,82079949,82131771,82231746,82740671,83082376,83262719,83505423,83524031,83564759,83602422,83903505,84016970,84082368,84129954,84387702,84433023,84485642,84603426,84750270,84826792,85015336,85373472,85414370,85449192,85546480,85671719,85704671,85990055,86032034,86329922,86556791,86797371,86842943,86850359,86979980,87367370,87435186,87510482,87658332,87683807,87797214,87946154,88088917,88092911,88165084,88185672,88292711,88359083,88484459,88612625,88799656,89189025,89321526,89353932,89357905,89497072,89650191,89872610,90214923,90246026,90251394,90400288,90497320,90967442,91051691,91244231,91470203,91647969,91711371,91773672,91808882,92310263,92393279,92532674,92566283,93467673,93515639,94003874,94422866,94592664,94910514,94917122,94924271,95005895,95134960,95416610,95430141,95513825,95642253,95659031,95755323,95775324,95848204,95905922,95981352,96045156,96077663,96130341,96213839,96239790,97076843,97100354,97344551,97437947,97714225,97900970,97965095,98243531,98287874,98289842,98543272,98864567,98874767,98901962,99068855,99208881,99419519,99436055,99694731,99802895,99828770,99885125,99899613,99994442,...,429568632698720151560399143754695335378973729143994518013631801455380484839726081770322659934791853968736429183514722910731012244655731388490541260384726335867793308889295716677514112861070973453368456290349291772483814657745810428981571774841477664657534330130284158129161355187772304041855516770133354235588401327739759226057771509729015783961408643964526665723388124682377720933108916233711631418184614983402769019862589152827130361475121956279468522355588662036911396984275270225553881353139645694274655499716534264254978998477992322914821171386977658013405056627109404037704509734886835306821446989781400232373713944249039476459591574939532021803956114848541980076309409940027779561503343609223663128486886471975143554344268782706922919714067775041557013495233284989175413514746500676824762675664355064823969842562917902318617137518585992107210046598876351614127559798574142611392895814919607850250677892733269629872733557260510418878239212465673497905679862105019052091423182117130311438658379391591108728957112738696960427681242714153322563249841416183100081663792665039572656321121073410716140430776341175933681339333716370679567336750823780825625991777484052643857395520601919717136669553283070126178419256907620552465109202961075797917330465520291419233750638796375575680268161752536285802058827160038233552138866614872280464940150821051765646366127236154627771256072510022181135401436695612825623737391827959510224030778911679551775238125966166716908000232412769538170508740432468126748856542283079187342752541397536297213885955551903362589588309860708792959818242008838107148071966307475790907686922033152959476023063888272812763796224828354946412701408607952532333864328797136791977624378414752081823519534674705092843061768134963058801052733112074496567874153854358787355557343949186675662291282113697163615090776327178852843107793439763605103713704967155138203363549513691754971933497262730823002893790357120081083813327779704552483722505484072004225207607560977709267789206827499415680551797803554045586028149400441754445298175009429824006622964441288790093130543289150493477590183197510701670183869855584878222531475573615971007617146387437410879763892508586087711848758929827065597311004023250763749673065486234635261002672053987639513345021564097701630730914065660356596495588916660153165826078948530247239187052269900578388534204580860756813449696578397509392395034244589929040565975951148}
15146   507624381236236821062133331995561645004140396584133988279748119: {105973,151390,181668,211918,302740,363288,393406,408699,665764,695566,1100329,1117918,1298686,1588755,1599646,1694672,1840126,1891375,1906506,2020318,2140366,2269650,2298392,2420960,2442229,2476564,2500126,2585691,2723580,2905152,2974453,3268296,3327829,3397006,3559588,3676833,3814318,3855855,3933406,4112912,4118713,4627026,5164153,5358868,5423893,5488923,5596693,5771086,5889118,6027433,6370729,6798229,6880055,7024755,7493072,7651918,8079128,8150219,8236318,8256066,8381055,8429706,8702686,8908729,8939792,9089019,9200163,9284206,9325429,9400318,9518552,9806206,9828650,10057266,10235833,10269118,10358548,10482613,10639155,10646773,10708371,10892473,10952575,11019166,11348432,11422564,11643170,11709118,11787829,11794380,12191929,12396766,12580672,12682606,12766986,13107032,13143090,13537726,13550979,13795455,13971804,14019296,14106553,14153256,14275918,14389246,14638683,14657173,14715152,14745411,14950564,14970229,15253208,15293566,15448323,15652708,15670393,15771708,15922413,16554546,16633100,16787379,16900729,17079231,17089918,17159859,17257486,17480686,17647918,18449764,18592846,18680403,18818648,19110355,19527829,19753726,19797411,19895929,19959720,19969333,19984975,20418123,20746012,21061753,21126526,21170979,21228388,21290368,21399886,21422293,21781033,21781918,21829615,22238575,22454685,22493113,22610788,22711955,22869118,22932426,22938419,22955668,23078168,23408053,23518366,23572366,23644564,23951664,23981970,24086095,24124755,24649006,24675748,24928693,25200152,25580768,25733072,25962939,26046628,26120003,26146933,26195538,26237379,26280853,26623918,26686290,26879929,26889118,26945622,27210229,27254346,27418318,27523966,27538729,27647139,27800233,27865429,28051246,28255093,28350171,28465376,28778364,28898773,28903314,28949706,29347131,29453668,29471929,29522455,29637160,29792788,29884126,29936206,30039253,30197091,30317819,30414229,30470164,30476473,30559918,30715486,31075099,31164159,31234975,32023548,32180855,32190073,32235992,32445650,32549929,32769170,32980606,33077019,33190079,33202933,33341805,33496873,33730729,33796606,34050766,34051178,34252693,34253806,34405918,34510228,34597429,34845028,35109673,35248971,35287923,35426946,35564592,36069646,36265491,36293855,36775033,36883753,37126808,37314290,37423033,37481970,37845268,38013406,38113333,38160227,38480855,38506899,38617026,38739733,38934780,38989555,39049966,39151573,39202729,39243171,39253813,39295726,39323004,39639118,39692625,39737086,39786046,39980768,40010166,40391283,40408873,40507513,40608255,40678851,40742319,40996393,41198926,41238133,41480548,41530432,41683006,41767659,41905429,42026083,42213646,42338800,42419833,42550318,42823155,42917042,42994259,43061929,43311170,43315472,43467253,43507918,43552626,43576043,43778473,43841566,43910773,43949455,44064728,44203082,44428948,44442995,44592915,44695918,44733459,44776213,44777148,44932318,44978364,45281653,45545086,45653929,45678032,45694933,45972650,46177026,46248766,46261429,46482526,46721736,46741058,46787466,46809118,46813100,47007673,47030164,47253125,47427829,47506318,47565776,47631150,47802229,47949973,48000868,48006079,48023413,48199832,48205753,48489311,48532863,48644540,48729906,48752206,48881739,49119118,49572819,49599673,49732729,49804318,50098323,50221429,50569513,50662933,50806560,51120313,51269173,51387786,51619093,51704953,51972766,51973404,52397219,52419886,52496283,52509118,52561953,52564255,52658773,52684729,52739346,52838953,52954318,53065429,53164213,53331594,53511498,53681048,53765391,53778229,53852655,54001429,54023353,54186755,54193664,54224811,54301813,54368206,54446713,54514610,54972650,54991033,55009429,55025326,55118293,55167180,55276729,55511593,55591918,55670699,55673188,55678846,55722286,55837429,55895893,56037013,56042319,56049555,56112526,56131513,56167826,56175720,56223363,56297653,56417173,56440213,56551093,56593429,56703750,56741929,56796793,56874229,56983093,57018046,57084073,57088088,57153193,57157380,57220729,57225013,57317929,57337333,57341113,57345973,57350329,57403966,57442832,57745918,58044286,58205987,58270163,58373448,58844992,59019779,59759764,59786192,59920768,59996415,60232615,60391179,60434355,60484000,60777406,60919491,60967872,61310060,61313331,61318564,61420370,61645966,61802643,61873100,62016046,62139118,62250388,62251490,62495575,62670766,63077106,63147260,63197685,63212786,63280846,63424015,63847006,63858968,63996176,64088686,64224099,64463312,64623186,65024106,65049646,65417532,65566318,65590655,65670129,65882926,65967180,66159118,66179919,66200616,66355918,66630766,66772940,66898403,66932575,66943918,67061086,67222808,67259466,67333918,67410864,67411726,67799806,68044500,68224846,68286722,68296755,68396308,68494318,68588856,69069118,69145486,69167955,69446271,69472298,69492200,69590019,69914788,69943486,70364992,70473855,70572248,71071246,71088055,71124388,71332318,71841339,71995698,72028564,72279138,72521226,72580800,72697079,72849872,72882286,73537918,73572072,73574575,73671411,73704444,73779152,73960991,74223443,74247720,74388419,74475693,74701788,74768043,74826763,74853170,74994690,75023764,75172112,75331918,75625659,75776712,75791806,75837222,75952623,76108818,76284046,76494046,76564952,76738318,76807966,77162463,77409650,77419520,77431918,77699699,78178725,78309938,78392206,78562366,78579988,78698206,78708786,78901486,79100252,79160616,79185155,79197568,79205326,79393779,79462564,79529570,79584915,79874072,79886271,79994336,80075806,80127528,80301963,80319090,80518251,80902606,80968318,81314355,81511828,81653400,81686926,81852632,81946318,81956106,82058834,82269118,82429918,82595811,82768581,82966948,83001546,83005486,83151410,83243090,83386318,83390640,83479503,83528685,83904915,83983683,84265966,84313970,84328318,84482648,84568626,84639118,84701086,84890576,85138712,85194526,85248801,85305666,85622926,85673696,85731971,85742899,86108686,86135571,86225363,86443655,86449112,86519919,86560366,86710126,86735312,86770346,87096960,87278495,87574948,87585800,87782655,88156606,88289490,88389118,88556799,88643055,88678318,88930700,88950016,89009575,89055693,89097264,89302323,89337406,89498576,89536318,89823804,89858331,89875486,89959918,89993628,90143469,90184366,90303980,90844855,91266339,91328979,91345918,91588683,91860075,92084211,92305371,92390164,92479246,92613467,92638846,92744926,92891580,92903424,92937855,93035326,93219118,93330655,93634832,93814470,94075006,94175456,94203166,94221323,94313999,94432846,94552592,94770455,94812766,95022186,95042979,95053244,95146491,95263918,95435484,95501898,95561806,95597575,95709886,95781051,95955406,96004318,96369118,96382908,96569764,96792915,97255251,97512286,97552460,97577226,97675918,97984080,98070046,98139032,98534025,99084352,99133712,99157918,99246140,99313486,99446206,99644206,99781692,99879626,99891708,99980575,99997079,...,644352949048080227340598715632043003068460593715991777020447702183070727259589122655483989902187780953104643775272084366096518366983597082735811890577089503801689963333943575016271169291606460180052684435523937658725721986618715643472357662262216496986301495195426237193742032781658456062783275155200031353382601991609638839086657264593523675942112965946789998585082187023566581399663374350567447127276922475104153529793883729240695542212682934419202783533382993055367095476412905338330822029709468541411983249574801396382468497716988484372231757080466487020107584940664106056556764602330252960232170484672100348560570916373559214689387362409298032705934172272812970114464114910041669342255015413835494692730329707962715331516403174060384379571101662562335520242849927483763120272119751015237144013496532597235954763844376853477925706277878988160815069898314527421191339697861213917089343722379411775376016839099904444809100335890765628317358818698510246858519793157528578137134773175695467157987569087386663093435669108045440641521864071229983844874762124274650122495688997559358984481681610116074210646164511763900522009000574556019351005126235671238438987666226078965786093280902879575705004329924605189267628885361430828697663804441613696875995698280437128850625958194563363520402242628804428703088240740057350328208299922308420697410226231577648469549190854231941656884108765033271703102155043419238435606087741939265336046168367519327662857188949250075362000348619154307255763110648702190123284813424618781014128812096304445820828933327855043884382464791063189439727363013257160722107949461213686361530383049729439214034595832409219145694337242532419619052112911928798500796493195705187966436567622128122735279302012057639264592652202444588201579099668111744851811230781538181033336015923780013493436923170545745422636164490768279264661690159645407655570557450732707305045324270537632457900245894096234504340685535680121625719991669556828725583758226108006337811411341466563901683810241249123520827696705331068379042224100662631667947262514144736009934446661933185139695814933725740216385274796266052505275804783377317333797213360423956511425719581156116319645838762879131567773138394740598395966506034876145624509598229351952891504008080981459270017532346146552446096371098490534894743383374990229748739118422795370858780578404850867582801306871291135220174544867596264088592551366884893560848963926722}
15147   509911833624910871121506288990114556888543664113569173513905350: {227085,242224,272502,317877,378425,454110,484384,544932,590109,832205,998646,1043349,1482838,1676877,1948029,2011093,2118340,2399469,2542008,2555449,2760189,2859759,2872990,3026200,3030477,3095705,3210549,3404475,3447588,3598798,3631440,3714846,3750189,3873536,4085370,4324606,4357728,4449485,4819133,4902444,5095509,5141140,5339382,5721477,5900109,5906837,6169368,6556438,6698585,6940539,7069237,7318564,7444793,7822318,7988429,8038302,8328733,8435869,8656629,8793389,8833677,9366340,9784973,9929878,10098910,10608973,10907254,11008088,11174740,11239608,11468653,11477877,11898190,11952889,12051317,12118692,12171406,12266884,12354477,12384099,12644559,12875758,12948185,13054029,13346557,13409688,13584377,13743389,13926309,14100477,14185540,14223269,14276086,14277828,14278205,14292889,14709309,14742975,15085899,15403677,15537822,15725840,16087006,16298237,16383790,16466317,16528749,17022648,17133846,17464755,17524120,17563677,17691570,17926553,18067972,18393940,18595149,18629072,18688205,18871008,18984478,19023909,19066510,19150479,19172653,19518244,19565885,19660548,19714635,20092309,20126509,20193397,20227966,20306589,20597764,20634937,20791375,20957706,21028944,21229884,21413877,21519766,21583869,22050133,22072728,22383172,22425846,22516438,22772308,22879812,22940349,23062205,23121982,23479062,23523310,23657562,24187966,24581549,24645622,24831819,24907204,24949650,25634877,25886229,25932515,26221029,26396548,26471877,26535485,26612960,27224164,27498053,27674646,27702133,27802606,27847789,27889269,28206493,28227972,28263485,28694585,28847657,28847710,28989526,29411629,29450333,29555705,29630589,29939580,30357022,30576568,30844685,30918862,31119018,31500190,31689789,31842582,31935552,31975960,32099829,32166340,32372813,32485957,32558285,32672877,32710169,33252077,33916182,34060246,34303677,34308958,34398639,34433502,34586638,34617252,34927384,34983172,35277549,35358549,35466846,35581720,35927496,35972955,36339128,36817085,36862852,36956837,36973509,37013622,37046450,37240985,37592062,37800228,37901038,38087705,38315566,38371152,38537752,38556637,38599608,39069942,39129508,39164213,39293307,39471406,39935877,39968278,40029435,40262788,40294990,40333677,40418433,40881519,40933789,41127477,41285949,41552212,41620054,41757022,42062933,42076869,42174853,42261166,42698064,43137785,43167546,43354971,43424559,43556285,43935613,43984793,43988537,43991453,44102692,44180502,44455740,44689182,44826189,44904309,45495893,45705246,45839877,46073229,46408510,46970917,46998628,47050564,47182309,47235928,47306585,47419456,47838989,47936509,48035322,48353988,48506933,48668475,49153755,49470909,49490446,49572238,49773526,49952077,49975960,50262478,50694909,51076149,51076767,51342532,51380709,51402733,51489368,51608877,51765342,51850685,51913040,52267542,52312918,52324228,52382158,52430672,52923500,53105086,53140419,53346888,53855044,53881657,54104469,54144340,54238468,54323092,54636829,54797033,55080910,55536185,55690212,55876597,55971435,55996654,56222955,56405398,56446549,56767902,56930446,57020109,57097540,57402389,57449837,57925539,58044142,58070168,58402170,58516375,58574949,58581317,58787705,58819957,58943589,58984506,59007017,59174557,59457220,59458677,59490029,59605629,59644612,59679069,59702864,59971152,60001085,60015249,60249790,60306649,60502133,60805675,61569368,61750717,61798389,62154389,62200414,62220822,62295648,62383288,62524509,62906213,63102413,63320469,63438622,63488693,63508200,63743638,63825477,64375563,64465822,64556758,64681049,64710484,64825657,64966755,64973208,65175652,65261877,65328939,65762349,65775598,66097092,66304623,66470357,66643422,66797764,66852889,66994333,67043877,67101310,67165722,67393357,67398477,67467546,67742080,67830653,68167573,68317629,68517048,68958975,69265539,69272566,69297872,69373149,69591485,69723789,69889813,69995044,70082604,70111587,70181199,70213677,70219650,70319128,70359406,70405117,70453357,70545246,71108792,71259477,71348664,71360110,71446725,71621053,71687188,71803540,72001302,72299748,72407693,72966810,73094859,73128309,73556240,73678677,73922317,74279254,74496373,74699705,74706477,74723092,74732740,74900960,74963902,74964484,75275182,75354653,75605000,75642973,75893398,76057657,76209840,76637575,76648205,77081679,77227733,77341375,77349526,77548349,77777237,77812985,77831264,77959149,77960106,78160813,78311254,78629829,78763677,78934075,79109019,79431477,79800869,79823710,79827257,79995220,79997391,80267247,80521572,80524249,80579140,80964389,81225988,81290496,81552309,81751108,81771915,81896573,81930478,82403524,82458975,82537989,82733518,82750770,83387877,83466175,83509782,83518269,83583429,84028510,84080873,84102808,84168789,84251739,84263580,85055625,85495385,85527069,85632132,85736070,85871653,86105949,86164248,86450893,86618877,86698808,86741998,86865250,87066429,87204917,87223376,87393485,87560172,87878837,87956240,88215310,88239892,88267488,88905485,89284309,89305054,89639646,89679288,89687662,89881152,89975566,90035705,90145357,90147413,90312238,90340054,90726000,91062340,91166109,91372313,91451808,91483693,91779286,91965090,91977846,91983838,92130555,92164133,92223940,92462326,92468949,92595028,92786692,92809650,93024069,93058333,93208677,93307006,93375582,93377235,93779705,93942893,93965140,94006149,94011406,94138189,94615659,94665238,94720890,94819179,94863989,94921269,95706190,95770509,95784293,95788452,95801302,95930309,95937037,95994264,96017717,96133029,96372184,96694968,96774400,96934779,97190446,97374517,97482233,97536159,97574469,97999549,98027453,98096096,98126298,98151613,98224985,98228548,98272592,98349477,98452319,98540453,98703997,98824389,98875315,98950770,98996960,99238677,99300924,99328205,99533877,99602384,99690724,99842590,99946109,99946149,99979513,99992920,...,966529423572120341010898073448064504602690890573987665530671553274606090889383683983225984853281671429656965662908126549144777550475395624103717835865634255702534945000915362524406753937409690270079026653285906488088582979928073465208536493393324745479452242793139355790613049172487684094174912732800047030073902987414458258629985896890285513913169448920184997877623280535349872099495061525851170690915383712656230294690825593861043313319024401628804175300074489583050643214619358007496233044564202812117974874362202094573702746575482726558347635620699730530161377410996159084835146903495379440348255727008150522840856374560338822034081043613947049058901258409219455171696172365062504013382523120753242039095494561944072997274604761090576569356652493843503280364274891225644680408179626522855716020244798895853932145766565280216888559416818482241222604847471791131787009546791820875634015583569117663064025258649856667213650503836148442476038228047765370287779689736292867205702159763543200736981353631079994640153503662068160962282796106844975767312143186411975183743533496339038476722522415174111315969246767645850783013500861834029026507689353506857658481499339118448679139921354319363557506494886907783901443328042146243046495706662420545313993547420655693275938937291845045280603363943206643054632361110086025492312449883462631046115339347366472704323786281347912485326163147549907554653232565128857653409131612908898004069252551278991494285783423875113043000522928731460883644665973053285184927220136928171521193218144456668731243399991782565826573697186594784159591044519885741083161924191820529542295574574594158821051893748613828718541505863798629428578169367893197751194739793557781949654851433192184102918953018086458896888978303666882302368649502167617277716846172307271550004023885670020240155384755818618133954246736152418896992535239468111483355836176099060957567986405806448686850368841144351756511028303520182438579987504335243088375637339162009506717117012199845852525715361873685281241545057996602568563336150993947501920893771217104014901669992899777709543722400588610324577912194399078757913707175065976000695820040635934767138579371734174479468758144318697351659707592110897593949759052314218436764397344027929337256012121472188905026298519219828669144556647735802342115075062485344623108677634193056288170867607276301374201960306936702830261817301394396132888827050327340341273445890083}
15148   512209511277860556346031191403478598802413681080652511375818919: {166507,211946,257227,302780,363336,408753,423836,605480,619387,681165,709747,726576,786812,817398,1070467,1331528,1391132,1497969,1967227,2200658,2224257,2235836,2597372,2647925,2679451,2856787,2945347,3177510,3199292,3389344,3680252,3739147,3782750,3813012,3826987,4002451,4040636,4177627,4280732,4309485,4539300,4596784,4701427,4841920,4884458,4953128,5000252,5171382,5398197,5447160,5572269,5741251,5810304,5913547,5948906,6128055,6343027,6426425,6486909,6536592,6599851,6655658,6794012,7026451,7119176,7196587,7353666,7451251,7620667,7628636,7711710,7866812,8009073,8127187,8225824,8237426,8547307,8714851,9148205,9254052,9548251,9632077,9834657,10127347,10328306,10717736,10847786,10948507,10977846,11193386,11542172,11707925,11733477,11762467,11778236,11843467,12054866,12057453,12741458,13368787,13596458,13760110,13765867,13968425,14049510,14894817,14946307,14986144,15148365,15303836,15333605,15336187,15413947,16110547,16158256,16300438,16360881,16472636,16495027,16512132,16762110,16859412,16954027,17405372,17731925,17817458,17847285,17864251,17879584,18090187,18178038,18240451,18257109,18400326,18568412,18650858,18800636,18838627,19037104,19313637,19579867,19612412,19657300,19727251,19874347,20114532,20459851,20471666,20538236,20717096,20965226,21278310,21293546,21329467,21414129,21416742,21784946,21905150,22038332,22584965,22696864,22826347,22845128,22992425,23286340,23306733,23418236,23575658,23588760,24130509,24153307,24383858,24397805,24575685,24793532,25046251,25161344,25250587,25365212,25522027,25533972,25700769,25747205,26214064,26262547,26286180,26537355,26596267,26729251,26754497,27075452,27101958,27389851,27521107,27590910,27847987,27943608,27978965,28038592,28213106,28306512,28465385,28476717,28551836,28560787,28599765,28778492,28881907,29277366,29314346,29430304,29490822,29901128,29940458,29960251,30148387,30341949,30506416,30561461,30587132,30896646,31134005,31202251,31305416,31340786,31386067,31436559,31543416,31796737,31844826,32279649,32415451,32714251,32833267,32995685,33109092,33188587,33266200,33574758,33638769,33716707,33720533,33774657,33801458,34030205,34158462,34179836,34319718,34514972,34583947,34682973,34730993,34755451,34961372,35218593,35284965,35295836,35322451,35486343,35491147,35603251,36281949,36434851,36725117,36817387,36899528,36968433,37185692,37360806,37424475,37637296,37678507,37943827,38220710,38312251,38416867,38677147,39055658,39497947,39507452,39594822,39599251,39700267,39791858,39919440,39938666,39969950,40207925,40349851,40498027,40694587,40836246,40987267,41331437,41492024,41511969,41703909,42038251,42123506,42178867,42253052,42341958,42365347,42456776,42580736,42799772,42844586,42963451,43099747,43271565,43484289,43562066,43563836,43659230,43728965,44477150,44513251,44909370,44986226,45053197,45150451,45221576,45234187,45423910,45535533,45738236,45864852,45876838,45911336,46055707,46078565,46156336,46376251,46378293,46574251,46678527,46816106,46964851,47036732,47144732,47250285,47289128,47348251,47649787,47763873,47798827,47903328,47963940,48020227,48172190,48202747,48249510,48809851,48911885,49053787,49225867,49298012,49351496,49667189,49764427,49857386,50091667,50156251,50328485,50400304,50411707,50569027,50786251,50811397,50874273,51090369,51150427,51161536,51180307,51463437,51466144,51650253,51879957,51925878,51940265,52015507,52093256,52180747,52235251,52240006,52293866,52391076,52474758,52556227,52561706,52634851,52942867,53142451,53200269,53247836,53372580,53653853,53667547,53690587,53736451,53759858,53778236,53873197,53891244,53894707,53917027,54243187,54420458,54451627,54508692,54585377,54652867,54692251,54836636,54846907,54922507,55047932,55077458,55128365,55160251,55294278,55469347,55520433,55569675,55600466,55709107,55730858,55739851,55770307,55785427,55815451,56099851,56102492,56256667,56318947,56388093,56510186,56603347,56634451,56700342,56704507,56733451,56734457,56851387,56851557,56925907,56930752,56933827,57009067,57037147,57120451,57149251,57233707,57246451,57258547,57294187,57306427,57351787,57359851,57364387,57365251,57473349,57556728,57797546,57806628,57899412,58604913,58694262,58748285,58813205,58907336,58943858,59044910,59207109,59274320,59585576,59768252,59872412,59952417,60078506,60394182,60442485,60635638,60828458,60940328,60952946,61119836,61430972,61529237,62150198,62220193,62328318,62430081,62469950,62635533,63391749,64047096,64178165,64361710,64380146,64471984,64751319,64891300,65099858,65405285,65538340,65961212,66154038,66154375,66270753,66380158,66405866,66683610,66993746,67033773,67318805,67461458,67593212,67680425,67798085,67903865,68101532,68102356,68505386,68507612,68557869,68811836,69020456,69194858,69612765,69690056,70219346,70497942,70575846,70853892,71129184,71371925,72052983,72139292,72530982,72587710,73550066,73589957,73767506,74235669,74253616,74321525,74358357,74555765,74628580,74660289,74846066,74963940,75393717,75690536,75861457,76026812,76226666,76320454,76961710,77013798,77234052,77479466,77648013,77869560,77979110,78099932,78303146,78401313,78405458,78469377,78476849,78486342,78507626,78573237,78591452,78646008,79061749,79278236,79385250,79474172,79572092,79657629,79961536,80020332,80782566,80817746,80888105,81015026,81216510,81357702,81469565,81484638,81838493,81992786,82397852,82476266,82621365,82961096,83060864,83366012,83497205,83535318,83810858,83994981,84052166,84325661,84427292,84608097,84677600,84839666,85100636,85151853,85395669,85646310,85834084,85988518,86123858,86622340,86630944,86934506,87015836,87066213,87105252,87152086,87493805,87556946,87603255,87683132,87814529,87821546,87898910,88129456,88406164,88431629,88476759,88793621,88857896,88885990,89185830,89391836,89466918,89552426,89554296,89608985,89754425,89864636,89956728,90374685,90563306,91090172,91307858,91356064,91389866,91826917,91945300,92354052,92497532,92522858,92965052,93300621,93331233,93403865,93415925,93443472,93482116,93574932,93618236,93626200,93705605,94015346,94060328,94506250,94855658,95012636,95131552,95157933,95262300,95604458,95615457,95899946,96001736,96012158,96046826,96399664,96411506,96663149,96698733,96835137,96978622,97065726,97289080,97459812,97504412,97763478,98238236,98663397,99145638,99199346,99465458,99523277,99608636,99965133,99994025,...,1288705898096160454681197431264086006136921187431983554040895404366141454519178245310967979804375561906209287550544168732193036733967194165471623781154179007603379926667887150032542338583212920360105368871047875317451443973237431286944715324524432993972602990390852474387484065563316912125566550310400062706765203983219277678173314529187047351884225931893579997170164374047133162799326748701134894254553844950208307059587767458481391084425365868838405567066765986110734190952825810676661644059418937082823966499149602792764936995433976968744463514160932974040215169881328212113113529204660505920464340969344200697121141832747118429378774724818596065411868344545625940228928229820083338684510030827670989385460659415925430663032806348120768759142203325124671040485699854967526240544239502030474288026993065194471909527688753706955851412555757976321630139796629054842382679395722427834178687444758823550752033678199808889618200671781531256634717637397020493717039586315057156274269546351390934315975138174773326186871338216090881283043728142459967689749524248549300244991377995118717968963363220232148421292329023527801044018001149112038702010252471342476877975332452157931572186561805759151410008659849210378535257770722861657395327608883227393751991396560874257701251916389126727040804485257608857406176481480114700656416599844616841394820452463155296939098381708463883313768217530066543406204310086838476871212175483878530672092336735038655325714377898500150724000697238308614511526221297404380246569626849237562028257624192608891641657866655710087768764929582126378879454726026514321444215898922427372723060766099458878428069191664818438291388674485064839238104225823857597001592986391410375932873135244256245470558604024115278529185304404889176403158199336223489703622461563076362066672031847560026986873846341091490845272328981536558529323380319290815311141114901465414610090648541075264915800491788192469008681371071360243251439983339113657451167516452216012675622822682933127803367620482498247041655393410662136758084448201325263335894525028289472019868893323866370279391629867451480432770549592532105010551609566754634667594426720847913022851439162312232639291677525758263135546276789481196791933012069752291249019196458703905783008016161962918540035064692293104892192742196981069789486766749980459497478236845590741717561156809701735165602613742582270440349089735192528177185102733769787121697927853444}
15149   514517459537646072874513715414303737052796170035045582792909209: {15149,317919,378475,454170,484448,529795,545004,635754,756850,908220,968768,983515,1089864,1165087,1180218,1226097,1664410,1738915,1997292,2086698,2794795,2827627,2965676,3246715,3300987,3353754,3896058,3999115,4022186,4236680,4333987,4600315,4766265,4798938,5050795,5084016,5110898,5151487,5350915,5520378,5674125,5695339,5719518,5745980,6052400,6060954,6146107,6191410,6229279,6250315,6421098,6601759,6808950,6895176,7197596,7262880,7326687,7429692,7500378,7747072,7757073,7802047,7958227,8170740,8320651,8492515,8649212,8715456,8898970,8923359,9378019,9535795,9638266,9804888,9833515,9983487,10116667,10191018,10282280,10392187,10518427,10678764,11030499,11442954,11564059,11567565,11800218,11813674,12338736,12356139,12691531,13112876,13397170,13469119,13881078,14138474,14427715,14637128,14722795,14889586,14917087,15118219,15182539,15492459,15644636,15976858,16076604,16184059,16242187,16271679,16466769,16657466,16790079,16871738,17313258,17586778,17667354,17691487,18082299,18127459,18178627,18373987,18732680,18801019,19112187,19129795,19162867,19569946,19859756,19989487,20197820,20216179,20394687,20544499,20590795,20640165,21074265,21217946,21756715,21814508,22016176,22349480,22479216,22937306,22955754,23210515,23500795,23796380,23905778,24102634,24237384,24342812,24450657,24515515,24533768,24571625,24708954,24768198,25143165,25273987,25289118,25672795,25751516,25769371,25808227,25896370,26108058,26163487,26693114,26726187,26819376,27168754,27267057,27392239,27486778,27547915,27600489,27852618,27976287,28200954,28371080,28446538,28552172,28555656,28556410,28585778,29022547,29107925,29247979,29272795,29418618,29485950,29779387,30171798,30707499,30807354,30991915,31075644,31403647,31447839,31451680,31706515,31917465,31940319,32125113,32174012,32241499,32287087,32497699,32596474,32677419,32701471,32767580,32857725,32860699,32932634,33057498,33844315,34045296,34267692,34305787,34804939,34929510,35048240,35127354,35363487,35383140,35689795,35853106,35973115,36135944,36305521,36575787,36787880,37149679,37190298,37258144,37376410,37647619,37742016,37951939,37968956,38047818,38133020,38233915,38258779,38300958,38345306,38795011,39018787,39036488,39131770,39321096,39429270,39491947,39568879,40172419,40184618,40253018,40386794,40455932,40613178,40652937,41103007,41195528,41269874,41377987,41386365,41479099,41582750,41915412,42057888,42319659,42459768,42724795,42827754,43039532,43143715,43167738,43182559,43701715,43916049,43971519,43997371,44100266,44119795,44145456,44236233,44318527,44766344,44851692,44855779,44910687,45032876,45544616,45581599,45759624,45880698,46004227,46124410,46243964,46284979,46344969,46482115,46585339,46958124,47011179,47018227,47046620,47315124,47767239,48375932,49014859,49163098,49163659,49291244,49384315,49663638,49710739,49814408,49899300,50084287,50158447,50362137,50702187,50723167,50848351,51237693,51269754,51479577,51543919,51680827,51772458,51865030,51989899,52137379,52322911,52442058,52793096,52816315,52943754,53070970,53225920,53322787,53499715,54053059,54213631,54448328,54454795,54996106,55349292,55404266,55605212,55695578,55778538,56041209,56412986,56455944,56526970,56536987,57172795,57331065,57389170,57470059,57695314,57695420,57979052,58362271,58583487,58795915,58823258,58900666,58930915,59111410,59261178,59392233,59527459,59630527,59687787,59879160,59907999,59954925,60392899,60714044,60978799,61008427,61153136,61254369,61530271,61536799,61622515,61689370,61837724,62238036,62799379,62876179,63000380,63185259,63379578,63512937,63685164,63871104,63951920,64199658,64266879,64332680,64373947,64678219,64745626,64971914,65004907,65038627,65116570,65343099,65345754,65420338,65488845,65549251,65949019,66042187,66229219,66479299,66504154,66559795,66715725,67222795,67364055,67479339,67620031,67643299,67832364,67839187,68120492,68135865,68154427,68545795,68607354,68617916,68797278,68809915,68815257,68867004,69141811,69173276,69234504,69854768,69966344,70128115,70224159,70555098,70701739,70717098,70933692,70943227,70957951,70981471,71163440,71854992,71945910,72258285,72374265,72590959,72678256,73455187,73634170,73725704,73913674,73947018,74027244,74092900,74290399,74481970,74575579,74710315,74786079,74840515,74989099,75184124,75600456,75802076,76175410,76399795,76631132,76742304,76788715,77075504,77113274,77199216,77401327,77750659,77888817,78139884,78259016,78328426,78358627,78360009,78414811,78440799,78462499,78586614,78712137,78842559,78942812,79871754,79936556,80058870,80163499,80353471,80525576,80589980,80639787,80667354,80836866,81114125,81630687,81763038,81833839,81867578,81907771,81922925,82254954,82302787,82451515,82571898,82616187,82691731,82896511,82941417,83104424,83240108,83400699,83514044,83596287,84001519,84125866,84153738,84349706,84491515,84522332,84765279,85050513,85126915,85127945,85255099,85308331,85396128,85634515,86014795,86275570,86335092,86696319,86709942,86849118,87112570,87707539,87794047,87871226,87890659,87969586,87977074,87982906,88041393,88182379,88205384,88361004,88415787,88567365,88688779,88911480,89055499,89218699,89378364,89652378,89733187,89808618,90117759,90174115,90591273,90953457,90991786,91242687,91269139,91410492,91429419,91679754,92146458,92418667,92598787,92817020,93225297,93285725,93492477,93586819,93704925,93941834,93955807,93997256,94101128,94364618,94471856,94587679,94613170,94838912,95033515,95053579,95624539,95677978,95685187,95829499,95873018,96070644,96104107,96239587,96338899,96542565,96570219,96613087,96707976,96786859,97013866,97336950,97428079,97464319,97624915,97649787,98239315,98307510,98859871,98891131,98941818,98980892,99097795,99144476,99231057,99342715,99465115,99547052,99570237,99608799,99904154,99951920,...,1933058847144240682021796146896129009205381781147975331061343106549212181778767367966451969706563342859313931325816253098289555100950791248207435671731268511405069890001830725048813507874819380540158053306571812976177165959856146930417072986786649490958904485586278711581226098344975368188349825465600094060147805974828916517259971793780571027826338897840369995755246561070699744198990123051702341381830767425312460589381651187722086626638048803257608350600148979166101286429238716014992466089128405624235949748724404189147405493150965453116695271241399461060322754821992318169670293806990758880696511454016301045681712749120677644068162087227894098117802516818438910343392344730125008026765046241506484078190989123888145994549209522181153138713304987687006560728549782451289360816359253045711432040489597791707864291533130560433777118833636964482445209694943582263574019093583641751268031167138235326128050517299713334427301007672296884952076456095530740575559379472585734411404319527086401473962707262159989280307007324136321924565592213689951534624286372823950367487066992678076953445044830348222631938493535291701566027001723668058053015378707013715316962998678236897358279842708638727115012989773815567802886656084292486092991413324841090627987094841311386551877874583690090561206727886413286109264722220172050984624899766925262092230678694732945408647572562695824970652326295099815109306465130257715306818263225817796008138505102557982988571566847750226086001045857462921767289331946106570369854440273856343042386436288913337462486799983565131653147394373189568319182089039771482166323848383641059084591149149188317642103787497227657437083011727597258857156338735786395502389479587115563899309702866384368205837906036172917793777956607333764604737299004335234555433692344614543100008047771340040480310769511637236267908493472304837793985070478936222966711672352198121915135972811612897373700737682288703513022056607040364877159975008670486176751274678324019013434234024399691705051430723747370562483090115993205137126672301987895003841787542434208029803339985799555419087444801177220649155824388798157515827414350131952001391640081271869534277158743468348958937516288637394703319415184221795187899518104628436873528794688055858674512024242944377810052597038439657338289113295471604684230150124970689246217355268386112576341735214552602748403920613873405660523634602788792265777654100654680682546891780166}
15150   516835723946281672004898127657060911637994327043916846941761755: {166529,196781,287489,333014,423892,438509,514454,605560,649601,681255,726672,817506,847672,890369,953631,1010561,1100621,1135275,1210960,1238774,1340429,1362330,1419494,1453152,1460141,1573624,1634796,1770327,2056781,2140934,2496615,2502161,2663056,2709389,2782264,2886701,2975249,2995938,3130047,3152129,3387521,3707095,3915281,3934454,4032209,4178189,4207361,4401316,4448514,4471672,4556801,4991981,5030631,5194744,5223341,5295850,5358902,5425361,5598209,5655761,5713574,5844087,5856941,5890694,6029069,6033279,6172289,6355020,6372461,6398584,6778688,6856961,7182475,7198407,7360504,7478294,7565500,7621709,7626024,7649921,7653974,7666347,8004902,8081272,8128301,8280567,8355254,8548481,8561464,8579277,8618970,8632301,8716049,8743949,8827601,8911181,8966861,8996995,9078600,9091431,9161489,9193568,9287115,9383441,9402854,9577229,9631647,9683840,9768916,9906256,10000504,10128749,10213425,10342764,10375889,10485521,10649729,10704401,10796394,10811515,10894320,10950029,11144538,11250567,11482502,11601869,11620608,11791121,11827094,11845121,11872109,11897812,12249101,12256110,12686054,12807487,12852850,12918401,12973818,13073184,13199702,13211309,13311316,13348455,13529741,13588024,13847021,14031569,14052902,14110541,14238352,14393174,14457399,14707332,14902502,14974481,15052589,15241334,15257272,15286527,15364301,15423420,15674861,15733624,16018146,16112849,16138541,16254374,16391095,16451648,16474852,16574081,16956461,17094614,17108909,17164431,17210381,17362349,17429702,17700327,17715821,17720511,17891969,18243089,18268109,18296410,18508104,18766829,19096502,19237649,19264154,19555795,19582721,19607309,19669314,19730129,19901741,19975169,20095755,20121809,20243789,20254694,20656612,20753921,20821617,20850689,21116141,21188369,21207711,21435472,21467047,21476561,21644141,21695572,21835181,21897014,21955692,22001921,22120781,22334379,22386772,22428881,22782701,22853249,22970669,23084344,23251661,23415850,23466954,23484941,23524934,23556472,23686934,23833361,23965287,24109732,24114906,24156929,24295121,24824695,24986199,25186349,25247275,25307607,25482916,25525889,25548461,25969887,25998221,26065409,26154881,26288849,26333441,26380167,26501031,26622509,26737574,27192916,27262481,27268135,27520220,27531734,27547181,27852269,27874001,27936850,28099020,28907729,28950401,29035649,29354919,29523341,29649869,29745475,29789634,29892614,29972288,29985869,30090449,30296730,30428515,30527501,30607672,30667210,30672374,30713729,30827894,30981581,31084241,31618951,31655441,31826919,31938689,32019329,32119949,32189395,32221094,32316512,32600876,32719469,32721762,32945272,32957261,32990054,33024264,33095441,33213569,33252881,33331409,33390221,33524220,33546701,33605249,33718824,33741581,33896909,33908054,34013069,34090349,34156927,34359821,34405959,34433631,34608641,34810744,35158829,35403281,35463850,35496941,35609069,35634916,35690215,35694570,35728502,35759168,35858667,35888129,36017741,36046087,36153951,36180374,36356076,36459149,36480902,36514218,36787181,36800652,36823469,36895949,37063431,37136824,37152297,37166609,37301716,37435469,37601272,37677254,37914881,37933677,37967789,38073389,38074208,38161169,38318669,38388461,38627274,38700941,38844555,39159734,39162087,39170551,39224824,39267089,39301121,39314600,39352109,39454502,39470801,39622829,39707009,39723821,39748694,39851539,40008401,40039671,40217515,40224461,40229064,40356749,40455629,40521389,40753131,40913261,40919702,40943332,40959475,41010509,41042861,41045719,41076472,41230167,41236301,41348609,41434192,41762321,41778927,41825489,41930452,42045569,42301431,42556620,42573521,42587092,42658934,42665729,42669807,42828258,42833484,42834615,42878667,42879761,43107341,43288109,43378061,43402411,43512449,43569892,43587607,43601681,43705421,43794029,43810300,43926401,43955729,44076664,44127927,44228925,44521229,44607149,44735489,45004301,45158609,45169930,45242369,45256301,45257697,45393728,45652694,45690256,45697901,45834221,45984850,45996749,46064129,46193959,46211031,46265069,46384769,46398029,46543361,46572680,46582829,46613466,46635341,46836472,47151316,47177520,47280941,47432909,47461195,47558669,47642287,47666275,47696081,47820161,47881901,48041489,48065921,48223949,48261018,48296429,48306614,48428561,48476369,48654509,48748781,48767716,48795610,48819149,48830849,48894711,48900881,48959021,49063169,49151370,49235309,49246721,49398951,49405649,49450769,49586247,49587064,49641101,49751981,49774061,50014829,50092502,50101421,50241041,50322688,50501174,50526701,50569915,50589389,50610221,50682881,50730424,50744849,50796269,50806529,50949329,51010049,51044054,51050369,51067944,51160589,51319181,51401538,51494410,51782669,51867521,52109009,52354061,52394265,52416641,52428128,52525094,52566989,52572360,52680401,52691031,52723661,52783889,52953809,53074710,53079149,53104001,53153489,53161709,53186321,53192534,53202689,53332481,53458502,53508994,53632529,53686541,53709569,53779659,53799415,53800961,53823629,53906129,53928461,54002381,54150904,54155009,54203916,54233549,54254801,54275981,54325121,54366929,54429101,54463361,54470189,54651521,54779702,55042214,55045841,55178369,55181820,55207949,55266509,55330001,55352849,55487249,55536461,55547309,55643501,55659281,55695974,55721681,55757549,55782929,55785447,55828109,55862801,55887216,55921361,55957930,55974029,55992941,56064615,56077184,56117249,56157389,56166221,56183789,56269709,56291095,56332049,56336141,56368589,56384621,56426212,56443601,56500781,56595629,56613024,56620241,56647889,56718029,56721281,56750189,56830061,56865101,56873681,56930770,56934401,56947661,56953434,57001169,57015809,57030161,57071727,57080321,57093329,57103672,57112301,57121574,57124589,57199530,57230081,57249581,57270401,57295361,57303341,57309869,57316109,57322061,57347501,57360461,57365249,57367169,57371021,57371789,57376001,57378509,57379841,57380369,57380429,57380621,57451437,57517959,57556984,57763814,57804955,58554732,58628692,58697587,58697655,58808275,58860608,58981644,59143905,59802256,59880916,59920502,59966071,60276927,60296774,60379527,60469915,60580191,60683898,60919767,61012832,61122922,61174264,61220551,61614055,61793292,61904811,62268010,62374125,62404502,62610832,62681572,62772134,62873118,63086832,63409099,63593474,63689652,64241631,64509991,64559298,64751607,64830902,65428502,65666534,65991370,66150399,66218184,66377174,66532400,67149516,67277538,67433414,67441066,67549314,67562407,67602916,68060410,68316924,68359672,68476639,68639436,68821047,69029944,69167894,69186615,69365946,69461986,69506515,69510902,69922744,70437186,70459879,70569930,70591672,70644902,70972686,70982294,71206502,72119275,72473815,72563898,72716371,72869702,73450234,73634774,73744647,73799056,73936866,74371384,74495457,74721612,74848950,75274592,75357014,75887654,75892555,76441420,76624502,76833734,76904631,77179711,77297155,77354294,77658687,77797545,78111316,78663087,78750475,78995894,79014904,79189644,79198502,79400534,79415631,79583716,79606455,79838880,79877332,79939900,80415850,80699702,80996054,81389174,81672492,81974534,82247599,82338487,82494159,82662874,82984048,83023938,83106399,83407818,83543367,83667807,84076502,84247012,84357734,84506104,84619479,84683916,84730694,84790455,84913552,85150615,85161472,85599544,85689172,85772395,85926902,86083755,86199494,86466595,86542971,86543130,86968578,87124132,87127672,87318460,87457930,87482527,88234887,88350999,88667115,88891767,88954300,89026502,89818740,89849431,89972452,90106394,90300902,90443152,90468374,90847820,91071066,91466551,91476472,91567399,91729704,91753676,91822672,92111414,92157130,92312672,92534055,92616125,92745367,92752502,92756586,93148502,93357054,93632212,93929702,93980155,94073464,94246327,94289464,94500570,94578256,94696502,94752595,94917319,95065411,95069367,95299574,95527746,95597654,95788915,95806656,95927880,96040454,96299487,96344380,96405494,96499020,96718219,97118439,97457871,97619702,97674855,97823770,98018631,98107574,98130507,98451734,98596024,98678515,98702992,99334378,99528854,99714772,99756231,99920695,...,2899588270716361023032694220344193513808072671721962996592014659823818272668151051949677954559845014288970896988724379647434332651426186872311153507596902767107604835002746087573220261812229070810237079959857719464265748939784220395625609480179974236438356728379418067371839147517463052282524738198400141090221708962243374775889957690670856541739508346760554993632869841606049616298485184577553512072746151137968690884072476781583129939957073204886412525900223468749151929643858074022488699133692608436353924623086606283721108239726448179675042906862099191590484132232988477254505440710486138321044767181024451568522569123681016466102243130841841147176703775227658365515088517095187512040147569362259726117286483685832218991823814283271729708069957481530509841092824673676934041224538879568567148060734396687561796437299695840650665678250455446723667814542415373395361028640375462626902046750707352989192075775949570001640951511508445327428114684143296110863339069208878601617106479290629602210944060893239983920460510986204482886848388320534927301936429559235925551230600489017115430167567245522333947907740302937552349040502585502087079523068060520572975444498017355346037419764062958090672519484660723351704329984126438729139487119987261635941980642261967079827816811875535135841810091829619929163897083330258076476937349650387893138346018042099418112971358844043737455978489442649722663959697695386572960227394838726694012207757653836974482857350271625339129001568786194382650933997919159855554781660410784514563579654433370006193730199975347697479721091559784352478773133559657223249485772575461588626886723723782476463155681245841486155624517591395888285734508103679593253584219380673345848964554299576552308756859054259376690666934911000646907105948506502851833150538516921814650012071657010060720466154267455854401862740208457256690977605718404334450067508528297182872703959217419346060551106523433055269533084910560547315739962513005729265126912017486028520151351036599537557577146085621055843724635173989807705690008452981842505762681313651312044705009978699333128631167201765830973733736583197236273741121525197928002087460121907804301415738115202523438406274432956092054979122776332692781849277156942655310293192032083788011768036364416566715078895557659486007433669943207407026345225187456033869326032902579168864512602821828904122605880920810108490785451904183188398666481150982021023820337670249}
15151   519164350246105985359671762686756707032863705473229560987356338: {30298,499521,529865,635838,741713,756950,771681,908340,968896,1059590,1090008,1226259,1271508,1376921,1513700,1816440,1858161,1937536,1967030,2043495,2129241,2179728,2330174,2360436,2434481,2452194,3160289,3211401,3328820,3341741,3477830,3912713,3994584,4173396,4493907,4545401,5501645,5589590,5598761,5655254,5901681,5931352,6088121,6440441,6493430,6601974,6672771,6707508,7071113,7263581,7491281,7792116,7943775,7998230,8038353,8044372,8473360,8570361,8667974,8750441,8836041,8894489,9200630,9220601,9456875,9532530,9597876,10101590,10168032,10221796,10302974,10701830,11031521,11040756,11108801,11217441,11348250,11390678,11439036,11480961,11491960,11755889,11889521,11956061,12007353,12104800,12121908,12211145,12292214,12382820,12458558,12500630,12532881,12842196,12842441,12928455,13088009,13203518,13350113,13566809,13617900,13766921,13790352,14104281,14395192,14525760,14653374,14859384,14872265,15000756,15494144,15514146,15604094,15630701,15916454,16194591,16341480,16639145,16641302,16716807,16896833,16985030,17223753,17298424,17300201,17430912,17740641,17797940,17846718,18022169,18384165,18690701,18756038,19029081,19071590,19276532,19279275,19460727,19609776,19667030,19799553,19966974,20097641,20198801,20233334,20317289,20382036,20564560,20593565,20611913,20640413,20784374,20908121,20973161,21036854,21079353,21357528,21589761,21961361,22060998,22353753,22594553,22862001,22865741,22885908,23128118,23135130,23209001,23600436,23627348,24027219,24381561,24677472,24712278,25383062,25641921,25820765,25875641,26144553,26225752,26319281,26642909,26781713,26794340,26938238,27119465,27444615,27546569,27762156,27983465,28276948,28644753,28827113,28844489,28855430,28896231,29274256,29445590,29503971,29534621,29779172,29834174,30137165,30236438,30365078,30382041,30438281,30459401,30984918,31265081,31289272,31732481,31853645,31953716,32153208,32368118,32484374,32494721,32543358,32845521,32901113,32933538,33314932,33534161,33580158,33743476,33974621,33991145,34321721,34400275,34626516,34650209,35123775,35173556,35193821,35200431,35287401,35334708,35382974,35530401,35941913,36164598,36172359,36254918,36357254,36747974,37113401,37465360,37602038,38224374,38259590,38325734,38461361,38567081,38647193,39139892,39719512,39978974,40106361,40395640,40432358,40751095,40789374,40981913,41088998,41181590,41280330,41297601,41470529,41905275,42148530,42416873,42435892,43388681,43513430,43629016,44032352,44324489,44389121,44543645,44684451,44698960,44838921,44958432,45445095,45874612,45911508,46000815,46008561,46160201,46241841,46358993,46421030,46627145,46672301,47001590,47382041,47456093,47592760,47811556,47949281,48205268,48331641,48474768,48576281,48685409,48685624,48901314,49031030,49067536,49082643,49143250,49417908,49485081,49536396,49798121,49965713,50286330,50362361,50547974,50578236,50862081,51049361,51179165,51345590,51416489,51503032,51538742,51571361,51616454,51792740,51996893,52216116,52326974,52376441,52413065,53195775,53233865,53375081,53386228,53452374,53527481,53528801,53541855,53592753,53638752,53896013,54096569,54270561,54337508,54462365,54534114,54721353,54762875,54771327,54781313,54784478,54973556,55095830,55200978,55705236,55952574,56103581,56401908,56515881,56742160,56893076,57104344,57111312,57112820,57171556,57940911,58045094,58215850,58495958,58545590,58739601,58837236,58939145,58971900,59181753,59190521,59558774,59623041,59706701,59814713,59945561,60343596,60396473,60401201,60589001,60959645,61077341,61182401,61379553,61414998,61614708,61767713,61983830,62151288,62224361,62807294,62895678,62903360,63413030,63632801,63834930,63880638,63988401,64242387,64250226,64348024,64482998,64574174,64995398,65074961,65192948,65354838,65402942,65535160,65715450,65721398,65865268,66114996,66274769,66870701,67411313,67688630,67754895,68090592,68185889,68330033,68479041,68535384,68611574,68973593,68977275,69138041,69609878,69859020,69920199,69975593,70069889,70096480,70254708,70472441,70532765,70726974,70766280,71379590,71416841,71448161,71706212,71946230,72271888,72391527,72459921,72611042,72622601,72717593,73151574,73193415,73285865,73575760,73727055,73811441,73942841,74299358,74300393,74380596,74516288,74752820,74851145,74899601,75138753,75295238,75484032,75577721,75751761,75903878,75937912,76078301,76095636,76236713,76266040,76467830,76517558,76566081,76601916,76690612,76823981,77102307,77241615,77382113,77590022,78016481,78037574,78072976,78263540,78351965,78496121,78642192,78787641,78858540,78862541,78983894,79137758,79289489,79612065,79788801,80041913,80160761,80187753,80263491,80344838,80369236,80506036,80546141,80773588,80911864,81226356,81305874,82169553,82206014,82314281,82391056,82503281,82518641,82539748,82563321,82755974,82772730,82958198,83165500,83543961,83557613,83822729,83830824,83887193,83936895,84115776,84503645,84639318,84772013,84919536,85396155,85430151,85449590,85655508,85682361,85799295,86079064,86120633,86271521,86287430,86335476,86365118,86645721,86885213,87403430,87577289,87806081,87832098,87943038,87994742,88200532,88239590,88290912,88394609,88472466,88637054,89469713,89532688,89703384,89711558,89821374,89880753,90065752,90169481,90445161,91025847,91089232,91134761,91163198,91519248,91684383,91761396,92008454,92131313,92248820,92357513,92431361,92487928,92569958,92689938,92964230,93170678,93183713,93402015,93606753,93916248,94022358,94036454,94093240,94111913,94158201,94309677,94615721,94630248,94963193,95390211,95534478,95551775,95964113,96333881,96355673,96751864,96800093,96838947,97036841,97115801,97246353,97639145,97794041,98026073,98029718,98142753,98179361,98326196,98327318,98499801,98582488,98768630,98987055,99122753,99327276,99421478,99460013,99479645,99565761,99628816,99798600,99846665,99890801,99924875,...,3866117694288481364043592293792258018410763562295950662122686213098424363557534735932903939413126685718627862651632506196579110201901582496414871343462537022810139780003661450097627015749638761080316106613143625952354331919712293860834145973573298981917808971172557423162452196689950736376699650931200188120295611949657833034519943587561142055652677795680739991510493122141399488397980246103404682763661534850624921178763302375444173253276097606515216701200297958332202572858477432029984932178256811248471899497448808378294810986301930906233390542482798922120645509643984636339340587613981517761393022908032602091363425498241355288136324174455788196235605033636877820686784689460250016053530092483012968156381978247776291989098419044362306277426609975374013121457099564902578721632718506091422864080979195583415728583066261120867554237667273928964890419389887164527148038187167283502536062334276470652256101034599426668854602015344593769904152912191061481151118758945171468822808639054172802947925414524319978560614014648272643849131184427379903069248572745647900734974133985356153906890089660696445263876987070583403132054003447336116106030757414027430633925997356473794716559685417277454230025979547631135605773312168584972185982826649682181255974189682622773103755749167380181122413455772826572218529444440344101969249799533850524184461357389465890817295145125391649941304652590199630218612930260515430613636526451635592016277010205115965977143133695500452172002091714925843534578663892213140739708880547712686084772872577826674924973599967130263306294788746379136638364178079542964332647696767282118169182298298376635284207574994455314874166023455194517714312677471572791004778959174231127798619405732768736411675812072345835587555913214667529209474598008670469110867384689229086200016095542680080960621539023274472535816986944609675587970140957872445933423344704396243830271945623225794747401475364577407026044113214080729754319950017340972353502549356648038026868468048799383410102861447494741124966180231986410274253344603975790007683575084868416059606679971599110838174889602354441298311648777596315031654828700263904002783280162543739068554317486936697917875032577274789406638830368443590375799036209256873747057589376111717349024048485888755620105194076879314676578226590943209368460300249941378492434710536772225152683470429105205496807841227746811321047269205577584531555308201309361365093783560332}
15152   521503384380656117251831083826038246003746904014825150863202173: {45447,196807,333058,393562,468751,574978,666028,847784,877018,920551,953757,1028908,1135425,1190767,1211120,1299202,1362510,1453344,1589385,1635012,1695344,1780738,1892125,1907262,2021122,2086807,2201242,2270550,2421920,2477548,2680858,2724660,2838988,2906304,2920282,2950545,3147248,3269592,3329167,3417367,3495261,3540654,3678291,4113562,4161025,4207927,4281868,4905751,4993230,5004322,5189933,5216745,5326112,5418778,5512567,5564528,5773402,5950498,5991876,6201751,6260094,6304258,6459007,6775042,7311847,7414190,7650967,7830562,7868908,8064418,8356378,8384385,8414722,8482881,8745151,8802632,8897028,8943344,8995927,9113602,9740145,9744367,9902961,9983962,9992551,10055465,10061262,10389488,10446682,10569127,10591700,10717804,10815151,10850722,11196418,11311522,11427148,11630551,11688174,11713882,11781388,11873767,11997345,12058138,12066558,12277687,12344578,12595793,12710040,12744922,12777245,12797168,13001961,13557376,13713922,13800945,14270287,14298795,14364950,14396814,14721008,14956588,15054727,15131000,15136121,15152385,15243418,15252048,15299842,15307948,15332694,15454461,15478525,15754567,16009804,16052745,16140847,16162544,16256602,16561134,16710508,17022375,17086017,17096962,17122928,17136751,17158554,17237940,17264602,17364847,17432098,17487898,17655202,17743567,17822362,17933722,17993990,18157200,18182862,18270751,18322978,18387136,18438321,18574230,18687837,18750945,18766882,18805708,19154458,19263294,19367680,19536367,19537832,19610167,19805277,19812512,19978087,20001008,20124751,20257498,20271127,20426850,20685528,20751778,20971042,21299458,21408802,21592788,21623030,21788640,21900058,21980061,22247425,22289076,22501134,22947533,22965004,23203738,23241216,23271219,23348551,23406141,23488447,23582242,23654188,23690242,23744218,23795624,23874681,24095665,24498202,24512220,24734551,24961953,25372108,25477545,25552327,25614974,25705700,25836802,25947636,26146368,26225887,26399404,26422618,26622632,26696910,26770077,26892247,27059482,27176048,27288607,27378113,27694042,27878287,28063138,28105804,28134057,28221082,28268167,28476704,28607385,28786348,28914798,29414664,29500545,29534185,29675551,29805004,29948962,29950461,30105178,30303751,30350001,30482668,30490807,30514544,30573054,30728602,30846840,31176561,31349722,31467248,31555281,32024407,32036292,32145151,32225698,32277082,32508748,32782190,32903296,32949704,33091497,33148162,33492925,33805327,33912922,33921751,34189228,34217818,34328862,34420762,34692177,34702695,34724698,34754573,34859404,35070151,35346185,35400654,35431642,35441022,35783938,36486178,36536218,36592820,37016208,37068417,37172767,37223965,37441687,37533658,38074593,38079751,38175389,38193004,38475298,38499367,38528308,39111590,39165442,39214618,39222607,39273727,39338628,39375751,39460258,39730567,39803482,39942145,39950338,40191510,40231327,40243618,40407357,40479007,40487578,40509388,41259487,41313224,41507842,41643234,41643665,41701378,42042781,42179345,42232282,42376738,42415422,42442087,42599921,42870944,42902527,42934094,42953122,43283145,43288282,43310767,43391144,43535047,43670362,43794028,43911384,43966945,44003842,44168385,44241562,44629447,44668758,44751261,44757751,44773544,44857762,45065153,45264487,45354657,45547617,45565402,45706498,45719887,45941338,46168688,46286887,46406551,46477377,46503322,46831700,46933908,46969882,47049868,47072407,47112944,47373868,47454367,47567551,47666722,47930574,48013807,48025153,48219464,48229812,48313858,48508577,48552177,48590242,48663751,48726561,48769807,48815037,48840151,48924865,49256167,49400307,49594927,49649390,49860751,49966301,49972398,50282887,50370237,50372698,50494550,50615214,50723887,50816551,50965832,51051778,51060487,51096922,51329407,51650167,51939774,51996442,52128751,52130818,52309762,52319767,52577698,52666882,52717207,52743127,52760334,52794751,52989409,53002062,53044865,53074461,53098447,53172751,53245018,53475148,53651551,53835007,54057847,54246897,54382377,54385832,54481927,54524962,54535881,54536270,54761647,55040440,55045687,55063468,55094362,55121961,55365151,55532551,55581367,55704538,55748002,55873700,55948567,56061751,56198040,56299567,56304521,56349247,56385751,56403057,56612551,56644087,56685127,56734807,56828767,56855551,56915527,57017551,57053551,57221887,57268327,57336561,57343265,57362287,57368551,57389385,57395047,57395551,57488601,57815458,57900802,58071298,58709838,59046682,59299738,59490950,59579268,59764445,59785228,59944576,59968461,59971738,60180898,60256585,60593460,60648537,60857030,61055002,61184061,61215344,61334420,61344748,61427458,61633497,61655788,61772385,61920495,61963162,62168482,63222795,63237902,63310882,63653838,63877378,64038658,64239898,64378790,64442188,64633024,64740925,64949401,65201752,65270145,65438938,65443524,65890544,65914522,65980108,66048528,66190882,66427138,66445673,66505762,66662818,66732785,66780442,67048440,67093402,67210498,67437648,67483162,67793818,67816108,67921885,68026138,68180698,68313854,68716945,68719642,68811918,68867262,69217282,69621488,69631545,70317658,70502385,70797881,70806562,70868993,70927700,70993882,71116345,71218138,71269832,71380430,71389140,71391025,71457004,71464445,71518336,71717334,71776258,72035482,72092174,72307902,72360748,72712152,72918298,72961804,73028436,73351971,73546545,73574362,73601304,73646938,73714875,73791898,74126862,74191213,74273648,74304594,74333218,74603432,74870938,75202544,75319181,75354508,75429495,75821961,75829762,75867354,75935578,76146778,76148416,76322338,76637338,76776922,77018385,77254548,77308113,77401882,77424681,77689110,78319468,78324174,78341102,78449648,78490461,78534178,78602242,78629200,78704218,78807533,78909004,78941602,79245658,79414018,79447642,79497388,79703078,79846481,80016802,80079342,80178561,80435030,80448922,80458128,80713498,80911258,80926937,81042778,81491185,81506262,81801171,81826522,81839404,81886664,81918950,82021018,82085722,82091438,82152944,82176717,82331585,82460334,82472602,82643745,82697218,82801467,82868384,83524642,83557854,83650978,83860904,83928861,84091138,84602862,84657881,85113240,85147042,85174184,85317868,85331458,85339614,85656516,85666968,85669230,85757334,85759522,85777021,86214682,86259677,86576218,86756122,86804822,87024898,87067641,87139784,87175214,87203362,87323775,87410842,87588058,87620600,87743937,87818385,87852802,87911458,88153328,88255854,88457850,89042458,89214298,89338161,89470978,89632765,90008602,90317218,90339860,90484738,90512602,90515394,90787456,91305388,91380512,91395802,91668442,91969700,91993498,92122497,92128258,92387918,92422062,92530138,92769538,92796058,92975745,93086722,93145360,93165658,93226932,93270682,93441025,93672944,94210941,94302632,94343517,94355040,94561882,94865818,94922390,95117338,95119545,95284574,95332550,95392162,95640322,95752395,95763802,95820957,95863265,96082978,96131842,96375339,96447898,96522036,96592858,96613228,96688801,96724497,96857122,96861261,96952738,97309018,97309121,97493097,97497562,97535432,97591220,97638298,97661698,97774589,97789422,97801762,97829425,97918042,98032257,98104413,98126338,98302740,98470618,98493442,98573175,98582097,98797902,98811298,98901538,99172494,99174128,99282202,99503962,99548122,...,5799176541432722046065388440688387027616145343443925993184029319647636545336302103899355909119690028577941793977448759294868665302852373744622307015193805534215209670005492175146440523624458141620474159919715438928531497879568440791251218960359948472876713456758836134743678295034926104565049476396800282180443417924486749551779915381341713083479016693521109987265739683212099232596970369155107024145492302275937381768144953563166259879914146409772825051800446937498303859287716148044977398267385216872707849246173212567442216479452896359350085813724198383180968264465976954509010881420972276642089534362048903137045138247362032932204486261683682294353407550455316731030177034190375024080295138724519452234572967371664437983647628566543459416139914963061019682185649347353868082449077759137134296121468793375123592874599391681301331356500910893447335629084830746790722057280750925253804093501414705978384151551899140003281903023016890654856229368286592221726678138417757203234212958581259204421888121786479967840921021972408965773696776641069854603872859118471851102461200978034230860335134491044667895815480605875104698081005171004174159046136121041145950888996034710692074839528125916181345038969321446703408659968252877458278974239974523271883961284523934159655633623751070271683620183659239858327794166660516152953874699300775786276692036084198836225942717688087474911956978885299445327919395390773145920454789677453388024415515307673948965714700543250678258003137572388765301867995838319711109563320821569029127159308866740012387460399950695394959442183119568704957546267119314446498971545150923177253773447447564952926311362491682972311249035182791776571469016207359186507168438761346691697929108599153104617513718108518753381333869822001293814211897013005703666301077033843629300024143314020121440932308534911708803725480416914513381955211436808668900135017056594365745407918434838692121102213046866110539066169821121094631479925026011458530253824034972057040302702073199075115154292171242111687449270347979615411380016905963685011525362627302624089410019957398666257262334403531661947467473166394472547482243050395856004174920243815608602831476230405046876812548865912184109958245552665385563698554313885310620586384064167576023536072728833133430157791115318972014867339886414814052690450374912067738652065805158337729025205643657808245211761841620216981570903808366376797332962301964042047640675340498}
15153   523852872495545520426672466788565915809156034599706505056883236: {60596,499587,590343,741811,832535,862467,999042,1059730,1271676,1286135,1315527,1483426,1513900,1543362,1816680,1830851,1937792,1948803,2043765,2119180,2180016,2452518,2543016,2671107,2753842,2860893,3027400,3031683,3096935,3301863,3405825,3548735,3632880,3716322,3734887,3875072,3934060,4021287,4086990,4258482,4359456,4380423,4660348,4720872,4868962,4904388,5310981,5352335,6170343,6320578,6422802,6657640,6683482,6810551,6955660,7447751,7489845,7506483,7702303,7825426,7989168,7991603,8128167,8346792,8660103,8925747,8987814,9090802,9390141,9456387,9788867,9836135,10072367,10162563,11003290,11121285,11179180,11197522,11310508,11745843,11803362,11862704,12096627,12176242,12329347,12534567,12622083,12880882,12986860,13128583,13203948,13239625,13345542,13397255,13415016,13589783,13670403,14142226,14283935,14502451,14527162,14726735,14736887,14975943,14982562,15091893,15122231,15467647,15584232,15670023,15887550,15996460,16076706,16088744,16276083,16304723,16794627,16946720,16967283,17095603,17140722,17335948,17469607,17500882,17532261,17570823,17672082,17788978,17933687,18087207,18099837,18378863,18401260,18441202,18516867,18695735,18913750,19065060,19117383,19134935,19195752,20012255,20203180,20336064,20443592,20549951,20570883,20605948,20821171,20888135,20889607,21239783,21298927,21403660,21547425,21595221,22063042,22081512,22217602,22434882,22696500,22781356,22865127,22878072,22949763,22961922,22983920,22999041,23294803,23507135,23511778,23779042,23912122,23981143,24014706,24209600,24243816,24384903,24422290,24584428,24765640,24786463,24841701,24917116,25001260,25065762,25645443,25684392,25684882,25737831,25856910,25896903,26148147,26176018,26231847,26407036,26482803,26700226,26733543,26900583,26990985,27133618,27235800,27274293,27484467,27533842,27580704,27861345,28150323,28208562,28480351,28486007,28706255,28731687,28790384,28830991,28894941,29051520,29306748,29415667,29567735,29718768,29744530,30001512,30386247,30580303,30640275,30988288,30994127,31028292,31127667,31208188,31261402,31412051,31456563,31715135,31832908,31949187,32113203,32132125,32389182,32434545,32682960,32850087,32999255,33278290,33282604,33433614,33751701,33793666,33970060,34447506,34596848,34600402,34805607,34861824,35132255,35373363,35481282,35535363,35595880,35616327,35693436,35982935,36044338,36149071,36413207,36747303,36768330,37256255,37381402,37497023,37502023,37512076,37967251,38058162,38103335,38143180,38422461,38553064,38558550,38755203,38921454,39029183,39176851,39219552,39334060,39599106,39633927,39933948,40045365,40195282,40397602,40466668,40589223,40634578,40635935,40764072,40950247,41114051,41129120,41187130,41223826,41280826,41541063,41568748,41816242,41946322,42073708,42094707,42158706,42192031,42331623,42496991,42715056,42736535,42986227,43044947,43179522,43372197,43574255,43922722,44121996,44595103,44707506,44923443,45157767,45189106,45514151,45724002,45731482,45741025,45771816,45859581,46092903,46256236,46270260,46418002,46597751,47024583,47200872,47254696,47587603,47741255,48054438,48160385,48338547,48415623,48763122,49173285,49354944,49424556,49722243,50030711,50636735,50728927,50736851,50766124,50869383,51060307,51283842,51326727,51493293,51631143,51641530,51751282,52087047,52289106,52383487,52451504,52638562,53100981,53147463,53161533,53285818,53563426,53588680,53675907,53876476,54238930,54729267,54742535,54804327,54889230,55093138,55524312,55930351,55966930,56300487,56553896,57051533,57214543,57289506,57654226,57688978,57710860,57712947,57792462,58378067,58539625,58548512,58667385,58748163,58812335,58821927,58891180,59007942,59069242,59190387,59217335,59513903,59558344,59668348,59705223,59826307,59925507,60274330,60287265,60331063,60365427,60472876,60526511,60730156,60731367,60764082,60876562,60918802,61553267,61969836,62179667,62261763,62361103,62464851,62530162,62552067,62578544,62619223,62816111,63128087,63348423,63464962,63565107,63623133,63707290,63907432,64306416,64401141,64429683,64561747,64736236,64932423,64968748,64989442,65006351,65022551,65086716,65278003,65505543,65627027,65691042,65802226,65867076,66005763,66059783,66362343,66629864,66843935,67003137,67068322,67160316,67286643,67486952,67858307,67949242,67982290,67986791,68348103,68559747,68643442,68800550,68829335,68912007,69253032,69300418,69754983,69842125,70247550,70347112,70387642,70400862,70454823,70574802,70669416,70765948,71060802,71500083,71605183,71628227,71650831,71883826,71895861,72329196,72344718,72347647,72436751,72470787,72509836,72714508,72885363,73378291,73428583,73495948,73932983,74226802,74474085,74527411,74731535,74930720,74958597,75009167,75204076,75559047,75741825,75922821,76247311,76448748,76519180,76577667,76645383,76651468,76668025,76680935,76922722,77069735,77134162,77294386,77909661,77994663,78196227,78279784,78324727,78464643,78866547,79000323,79140501,79439024,79503093,79833023,79853827,79867527,79957948,80212722,80552735,80791280,80864716,80997587,81502190,81578748,81787443,81804405,81822163,81855827,81930167,81963826,82177996,82363180,82475135,82514803,82560660,82595202,82641543,82941058,83556807,83622003,83792951,83810550,84297060,84770135,84833746,84871784,85343503,85896467,86485891,86723187,86777362,86851203,87026860,87106947,87231703,87258032,88064704,88064757,88140487,88570023,88648978,88659625,88712783,88778242,88949607,89087290,89236425,89320207,89321255,89368902,89397920,89677842,89916864,89930483,89957607,90271347,90450935,90890190,91202255,91285545,91582503,91749224,91823016,92001630,92017122,92059987,92141187,92320402,92483682,92717986,92768143,92842060,92944743,93252723,93254290,93344602,94003180,94193135,94745191,94764082,94856853,94903127,94912186,94966323,95185520,95480757,95623112,95816067,95823827,95898562,96056783,96057987,96359847,96385391,96410536,96568185,96663282,96949536,97152562,97370818,97371248,97521911,97802628,97899335,98062060,98066951,98135072,98158407,98165286,98286500,98636255,98745871,98835816,98871783,98970162,99072792,99286323,99371735,99596242,99621967,99640707,99758643,99931426,99994227,...,8698764812149083069098082661032580541424218015165888989776043979471454818004453155849033863679535042866912690966173138942302997954278560616933460522790708301322814505008238262719660785436687212430711239879573158392797246819352661186876828440539922709315070185138254202115517442552389156847574214595200423270665126886730124327669873072012569625218525040281664980898609524818148848895455553732660536218238453413906072652217430344749389819871219614659237577700670406247455788931574222067466097401077825309061773869259818851163324719179344539025128720586297574771452396698965431763516322131458414963134301543073354705567707371043049398306729392525523441530111325682975096545265551285562536120442708086779178351859451057496656975471442849815189124209872444591529523278474021030802123673616638705701444182203190062685389311899087521951997034751366340171003443627246120186083085921126387880706140252122058967576227327848710004922854534525335982284344052429888332590017207626635804851319437871888806632832182679719951761381532958613448660545164961604781905809288677707776653691801467051346290502701736567001843723220908812657047121507756506261238569204181561718926333494052066038112259292188874272017558453982170055112989952379316187418461359961784907825941926785901239483450435626605407525430275488859787491691249990774229430812048951163679415038054126298254338914076532131212367935468327949167991879093086159718880682184516180082036623272961510923448572050814876017387004706358583147952801993757479566664344981232353543690738963300110018581190599926043092439163274679353057436319400678971669748457317726384765880660171171347429389467043737524458466873552774187664857203524311038779760752658142020037546893662898729656926270577162778130072000804733001940721317845519508555499451615550765443950036214971030182161398462802367563205588220625371770072932817155213003350202525584891548618111877652258038181653319570299165808599254731681641947219887539017187795380736052458085560454053109798612672731438256863167531173905521969423117070025358945527517288043940953936134115029936097999385893501605297492921201209749591708821223364575593784006262380365723412904247214345607570315218823298868276164937368328998078345547831470827965930879576096251364035304109093249700145236686672978458022301009829622221079035675562368101607978098707737506593537808465486712367817642762430325472356355712549565195999443452946063071461013010747}
15154   526212860939345671423564060272915792892807514496179699806322441: {75745,90894,257329,348013,393614,666116,710029,787124,800353,937502,1070893,1149956,1332056,1498563,1520353,1589595,1695568,1754036,1841102,1892375,1907514,2057329,2057816,2225139,2270850,2315043,2381534,2422240,2598404,2648975,2725020,2906688,2946529,3178770,3270024,3390688,3561476,3678777,3784250,3814524,3828529,3916333,4042244,4130763,4173614,4402484,4541100,4616173,4843840,4917575,4955096,5361716,5449320,5574483,5657293,5677976,5812608,5825435,5840564,5901090,5915953,6130485,6294496,6345613,6387723,6539184,6658334,6834734,6990522,7081308,7303443,7356582,7623793,8214733,8227124,8322050,8415854,8563736,8634673,8694575,8969329,9480867,9634203,9811502,9986460,10008644,10025223,10379866,10433490,10652224,10707373,10837556,11025134,11129056,11546804,11738139,11848429,11900996,11983752,12403502,12520188,12608516,12918014,12975373,13454029,13481721,13550084,13636203,13850929,13973975,14077651,14138135,14623694,14828380,15301934,15420529,15498253,15661124,15737816,16128836,16233575,16504935,16578829,16712756,16768770,16796283,16829444,16965762,17037613,17490302,17605264,17705043,17720929,17794056,17886688,17888143,17991854,18227204,18264363,18921313,19321323,19480290,19488734,19662193,19805922,19967924,19985102,19995575,20018313,20110930,20122524,20126051,20778976,20893364,21138254,21183400,21213339,21435608,21630302,21669935,21698353,21701444,21790743,22392836,22473843,22482829,22623044,22836529,22854296,23001575,23258593,23261102,23376348,23427764,23562776,23747534,23831325,23886829,23994690,24115059,24116276,24133116,24302413,24555374,24689156,25191586,25253975,25330033,25420080,25489844,25554490,25594336,25711083,25757435,26003922,26251323,26341453,26508123,26608429,26683467,26754575,27114752,27427844,27533773,27601890,27661803,27991153,28370625,28476695,28540574,28597590,28638433,28729900,28793628,28895329,28959373,29442016,29911393,29913176,30109454,30262000,30272242,30304770,30486836,30504096,30599684,30615896,30665388,30723373,30730535,30908922,30957050,31032433,31146395,31251575,31509134,32019608,32069773,32105490,32281694,32325088,32513204,33008795,33094563,33122268,33204529,33263533,33326403,33421016,33652323,33733931,34024033,34044750,34139953,34172034,34193924,34245856,34273502,34317108,34370929,34442883,34475880,34529204,34729694,34864196,34975796,35267667,35310404,35487134,35564653,35644724,35668563,35788429,35867444,35868183,35987980,36022059,36066529,36314400,36365724,36541502,36562573,36633435,36645956,36774272,36835633,36876642,37148460,37214893,37375674,37501890,37533764,37598643,37611416,37962829,38308916,38436193,38526588,38527323,38696653,38735360,38748529,38785365,39010235,39072734,39075664,39220334,39264027,39314413,39518029,39610554,39625024,39720493,39791135,39956174,40002016,40050339,40249502,40514996,40542254,40700427,40853700,41056993,41250529,41300763,41347859,41371056,41503556,41603255,41942084,42154093,42312843,42462575,42598916,42817604,42849073,43167853,43185576,43246060,43393393,43577280,43750513,43800116,43960122,43971373,44494850,44578152,44616795,45002268,45508429,45895066,45930008,46121329,46407476,46481293,46482432,46542438,46697102,46812282,46890095,46892103,46976894,47145313,47164484,47308376,47380484,47450593,47488436,47591248,47678975,47713933,47749362,48084013,48191330,48230029,48583773,48996404,49024440,49081933,49167575,49254193,49469102,49484659,49686923,49793329,49917435,49923906,50150421,50409613,50472973,50583335,50630113,50690499,50744216,50785453,50877793,50955090,51030253,51104654,51210829,51229948,51411400,51506029,51671259,51673604,51895272,51900603,51907213,51960935,52113551,52212529,52239853,52292736,52451774,52455853,52592135,52614829,52798808,52845236,53000929,53221923,53224813,53245264,53393820,53540154,53675171,53724529,53784494,53861473,53951329,54040033,54066507,54118964,54192493,54299233,54352096,54404173,54466273,54577214,54588529,54688429,54756226,54863713,55152495,55267633,55354573,55388084,55523053,55572193,55746829,55756574,55823329,55838413,55919003,56072103,56126276,56192113,56211608,56231533,56268114,56418913,56442164,56536334,56557153,56643851,56756999,56793133,56892529,56901133,56953408,56967373,56975329,57058093,57087243,57125773,57214770,57302029,57305953,57350413,57395053,57401713,57410029,57410929,57572696,57820295,57829596,57837825,58301131,58382181,58829328,59001090,59051083,59068370,59351102,59398659,59610008,59897924,59900922,60210356,60292923,60596403,60607502,60700002,60951867,60965336,60981614,61029088,61146108,61457204,61553723,61693680,61780695,61835739,61921239,62353122,62623847,62699444,62724363,62919483,62934496,63110562,63238059,63457655,64048814,64072584,64290302,64451396,64554164,64769283,65017496,65564380,65806592,65884083,65899408,66182994,66296324,66985850,67061259,67345595,67610654,67783659,67825844,67843502,68378456,68435636,68494811,68586003,68597223,68657724,68841524,69384354,69405390,69449396,69509146,69627003,69718808,70140302,70692370,70801308,70863284,70882044,71567876,72081657,72138575,72590507,72972356,73072436,73144683,73185640,73613975,74032416,74136834,74262811,74345534,74447930,74585435,74866451,74883374,75067316,75591095,75912695,76149186,76159502,76350778,76386008,76758383,76925763,76950596,76998734,77056616,77462295,77626923,78223180,78330884,78429236,78433659,78445214,78547454,78677256,78751502,78920516,78957843,79461134,79606964,79884290,79900676,79928727,80280571,80345139,80383020,80462654,80487236,80814714,80920295,80958014,80975156,81018776,81210935,81358395,82333845,82518974,82626448,82639707,82919591,83015684,83286468,83287330,83402756,83670223,83950395,84085562,84358690,84359219,84464564,84753476,84830844,84884174,85199842,85741888,85805054,85868188,85906244,85934259,86481339,86533467,86566290,86576564,86621534,86688693,86782288,87070094,87340724,87588056,87822768,87933890,88007684,88336770,88457435,88483124,88511913,88603863,89258894,89337516,89502522,89515502,89547088,89715524,90130306,90411495,90528974,90637295,90709314,90893135,91095234,91130804,91146123,91314843,91378203,91412996,91439774,91869935,91882676,92337376,92573774,92813102,92954754,93006644,93425899,93663400,93795243,93867816,93939764,94005095,94099736,94144814,94225888,94364023,94747736,94908734,95090639,95135102,95197443,95333444,95560935,95648975,95814335,95861148,96027614,96050306,96203723,96438928,96459624,96627716,97017154,97104354,97180484,97327502,97453122,97484163,97539614,97630074,97680302,97849730,98512334,98536563,98703339,98800614,99189854,99298780,99562883,99721502,99932602,99944796,99947435,...,11598353082865444092130776881376774055232290686887851986368058639295273090672604207798711818239380057155883587954897518589737330605704747489244614030387611068430419340010984350292881047248916283240948319839430877857062995759136881582502437920719896945753426913517672269487356590069852209130098952793600564360886835848973499103559830762683426166958033387042219974531479366424198465193940738310214048290984604551874763536289907126332519759828292819545650103600893874996607718575432296089954796534770433745415698492346425134884432958905792718700171627448396766361936528931953909018021762841944553284179068724097806274090276494724065864408972523367364588706815100910633462060354068380750048160590277449038904469145934743328875967295257133086918832279829926122039364371298694707736164898155518274268592242937586750247185749198783362602662713001821786894671258169661493581444114561501850507608187002829411956768303103798280006563806046033781309712458736573184443453356276835514406468425917162518408843776243572959935681842043944817931547393553282139709207745718236943702204922401956068461720670268982089335791630961211750209396162010342008348318092272242082291901777992069421384149679056251832362690077938642893406817319936505754916557948479949046543767922569047868319311267247502140543367240367318479716655588333321032305907749398601551572553384072168397672451885435376174949823913957770598890655838790781546291840909579354906776048831030615347897931429401086501356516006275144777530603735991676639422219126641643138058254318617733480024774920799901390789918884366239137409915092534238628892997943090301846354507546894895129905852622724983365944622498070365583553142938032414718373014336877522693383395858217198306209235027436217037506762667739644002587628423794026011407332602154067687258600048286628040242881864617069823417607450960833829026763910422873617337800270034113188731490815836869677384242204426093732221078132339642242189262959850052022917060507648069944114080605404146398150230308584342484223374898540695959230822760033811927370023050725254605248178820039914797332514524668807063323894934946332788945094964486100791712008349840487631217205662952460810093753625097731824368219916491105330771127397108627770621241172768128335152047072145457666266860315582230637944029734679772829628105380900749824135477304131610316675458050411287315616490423523683240433963141807616732753594665924603928084095281350680996}
15155   528583396264471561871039358400396498374666287657925931666973381: {121192,136341,590421,832645,983905,999174,1165549,1180686,1406253,1437445,1483622,1665070,1724934,1800589,1998084,2119460,2163733,2192545,2543352,2572270,2631054,2761653,2861271,2966852,3027800,3086724,3248005,3406275,3572301,3633360,3661702,3825613,3875584,3897606,4087530,4238360,4335709,4360032,4369969,4451845,4768155,4905036,4968229,5052805,5086032,5342214,5503105,5507684,5676375,5721786,6054800,6063366,6148549,6193870,6260421,6603726,6702145,6811650,7097470,7142773,7265760,7300705,7432644,7469774,7493269,7750144,7868120,7961389,8042574,8048833,8173980,8323957,8516964,8718912,8760846,8798053,8851635,9320696,9441744,9498529,9737924,9808776,9987501,10120693,10252101,10283905,10485783,10621962,10704670,10767013,11034873,11111749,11568661,11772013,12057709,12340686,12483075,12510805,12623781,12641156,12845604,13315280,13366964,13546945,13621102,13750693,13770589,13911320,14230813,14433505,14717253,14876245,14895502,14979690,15012966,15188581,15404606,15569799,15634849,15650235,15650852,15760645,15978336,15983206,16256334,16537701,16693584,16901317,16937605,17320206,17416321,17851494,17975628,18181604,18535475,18605253,18683533,18756157,18780282,18808501,18912774,19170493,19377021,19576405,19577734,19672270,19997509,20144734,20161045,20325126,20454061,20617429,20890945,20978749,21036805,21633733,21935541,21967189,22006580,22242570,22358360,22395044,22621016,22784005,22871809,22952901,23167201,23491686,23606724,23725408,23738581,24193254,24352484,24594613,24658694,24959905,25069134,25153155,25244166,25337713,25448643,25761764,25973720,26116705,26174029,26235453,26257166,26407896,26479250,26691084,26788909,26794510,26830032,26987781,27126805,27179566,27340806,27341389,27351301,27991045,28017157,28278805,28284452,28567870,29004902,29054324,29220435,29233101,29243389,29284705,29453470,29473774,29708883,29951886,29965124,29977653,30145345,30166395,30183786,30244462,30861445,30935294,31168464,31340046,31707381,31740973,31775100,31862305,31867201,31992920,32153412,32177488,32390149,32445453,32552166,32609446,32727553,32909989,33131653,33269749,33589254,33665281,33893440,33934566,34191206,34281444,34284805,34671896,34891653,34917013,34939214,35001764,35064522,35141646,35344164,35577956,35621301,35867374,35912375,35992035,36174414,36199674,36757726,36802520,36833061,36882404,37033734,37123333,37391470,37647553,37787379,37827500,38108545,38130120,38189461,38234766,38249605,38269870,38331735,38391504,39005883,40024510,40188757,40406360,40641505,40672128,40887184,41099902,41141766,41211896,41394829,41402835,41642342,41776270,41779214,42085549,42479566,42597854,42742405,42807320,42810861,42896385,43094850,43161505,43190442,43580245,43719745,44126084,44138005,44163024,44401189,44435204,44555905,44834305,44869764,44984975,45164181,45299749,45393000,45408363,45457155,45562712,45730254,45756144,45807445,45899526,45923844,45967840,45998082,46022689,46198957,46363383,46435575,46589606,46917205,47014270,47023556,47263701,47468737,47496637,47558084,47824244,47864773,47886145,47962286,48029412,48158235,48419200,48422541,48487632,48532909,48589333,48769806,48844580,49168856,49185157,49197601,49531280,49572926,49683402,49811389,49834232,50002520,50131524,50376109,50538637,50643745,50868757,50871301,51063133,51067125,51150493,51258051,51290886,51346741,51368784,51369764,51410253,51475662,51701749,51713820,51793806,51879445,52094541,52158757,52296294,52352036,52427605,52463694,52814072,52965606,53230701,53248645,53344669,53400452,53467086,53522005,53801166,53934133,53981970,54057575,54267236,54471600,54548586,54750145,54812253,54968934,55067684,55161408,55314963,55722690,55916677,56063511,56118529,56118781,56252835,56300646,56417124,56480149,56561653,56890309,56960702,56972014,57412510,57463374,57580768,57661982,57789882,58009345,58103040,58609101,58613496,58830501,58831334,58955605,59135470,59225605,59360545,59415831,59437536,59489060,59722609,59831149,59934261,59961733,60003024,60374253,60605413,60772494,60813381,61003957,61033009,61160606,61245505,61280550,61976576,61988254,62056584,62168833,62241013,62255334,62416376,62522804,62824102,62913126,63430270,63522829,63665816,63898374,64037435,64226406,64264250,64400149,64592005,64778364,64869090,65365920,65700174,65940183,65998510,66056545,66314221,66556580,66565208,66742275,66837757,66867228,67424539,67503402,67587332,67647277,67648705,67940120,67995937,68153857,68182213,68492269,68842599,68895012,68992261,69193696,69200804,69235105,69611214,69723648,69754333,69813657,69994237,70045653,70157845,70218423,70264510,70465341,70552705,70746726,70816321,70891429,70962564,71070726,71191760,71232654,71386872,71435869,71624043,71965870,72088676,72286995,72298142,72654157,72826414,73485061,73494606,73518661,73536660,74203653,74457493,74512510,74605921,74762804,74872405,74885859,74994046,75004046,75024152,75262945,75680533,75934502,75985237,76116324,76206670,76286360,76432635,76639549,76656981,76821505,76844833,76844922,77106128,77117100,77402989,77432389,77510406,77589877,77842908,78058366,78353702,78374305,78390349,78439104,78517549,78668120,78677661,79140853,79198212,79267854,79867896,79870369,80090730,80182213,80196181,80310231,80390564,80473693,80564245,80676741,80692705,80795204,80933336,81178446,81269156,81271870,81528144,81865821,81900494,81955475,82134339,82228102,82258240,82337269,82374260,82447652,82524097,82540813,82561652,82630981,82870405,82904269,83082126,83137496,83632484,83634861,83892644,84114613,84147416,84189414,84317412,84384062,84402171,84651541,84663246,84782305,84804501,84993982,85289377,85430112,85473070,85544545,85822155,85972454,86051905,86089894,86359044,86744394,86811745,87148510,87845444,88243992,88501635,88579105,88602555,89026653,89190206,89415012,89459845,89846886,89851383,89942581,90196237,90315534,90378212,90911253,91028302,91050003,91215445,91340545,91448004,91462964,91472421,91482050,91543632,91719162,92156269,92185806,92382229,92512472,92540520,92836004,93195502,93529683,93581509,93834145,93994549,94049166,94401744,94509392,94665843,94916173,95092237,95175206,95482510,95724421,95982013,96073221,96108876,96143773,96188245,96278209,96320770,96361069,96435453,96677094,96826561,96831246,97063549,97526244,97778975,97792477,97913605,98036545,98346570,98650645,98709888,98849112,98930977,98940997,99028033,99149581,99274491,99444486,99487009,99508705,99875845,99891661,99917533,...,17397529624298166138196165322065161082848436030331777979552087958942909636008906311698067727359070085733825381932346277884605995908557121233866921045581416602645629010016476525439321570873374424861422479759146316785594493638705322373753656881079845418630140370276508404231034885104778313695148429190400846541330253773460248655339746144025139250437050080563329961797219049636297697790911107465321072436476906827812145304434860689498779639742439229318475155401340812494911577863148444134932194802155650618123547738519637702326649438358689078050257441172595149542904793397930863527032644262916829926268603086146709411135414742086098796613458785051046883060222651365950193090531102571125072240885416173558356703718902114993313950942885699630378248419744889183059046556948042061604247347233277411402888364406380125370778623798175043903994069502732680342006887254492240372166171842252775761412280504244117935152454655697420009845709069050671964568688104859776665180034415253271609702638875743777613265664365359439903522763065917226897321090329923209563811618577355415553307383602934102692581005403473134003687446441817625314094243015513012522477138408363123437852666988104132076224518584377748544035116907964340110225979904758632374836922719923569815651883853571802478966900871253210815050860550977719574983382499981548458861624097902327358830076108252596508677828153064262424735870936655898335983758186172319437761364369032360164073246545923021846897144101629752034774009412717166295905603987514959133328689962464707087381477926600220037162381199852086184878326549358706114872638801357943339496914635452769531761320342342694858778934087475048916933747105548375329714407048622077559521505316284040075093787325797459313852541154325556260144001609466003881442635691039017110998903231101530887900072429942060364322796925604735126411176441250743540145865634310426006700405051169783097236223755304516076363306639140598331617198509463363283894439775078034375590761472104916171120908106219597225345462876513726335062347811043938846234140050717891055034576087881907872268230059872195998771787003210594985842402419499183417642446729151187568012524760731446825808494428691215140630437646597736552329874736657996156691095662941655931861759152192502728070608218186499400290473373345956916044602019659244442158071351124736203215956197415475013187075616930973424735635285524860650944712711425099130391998886905892126142922026021494}
15156   530964525228071022098029686241288392883992567509036280831404783: {106043,151490,181788,257363,287603,514658,696026,787228,1101059,1191083,1251059,1332232,1420058,1498761,1550459,1574248,1600706,1771029,1875004,2087363,2141786,2225433,2299912,2497605,2587401,2592059,2649325,2664112,2976443,2997126,3040706,3179190,3388883,3391136,3477059,3508072,3682204,3708565,3784750,3815028,3858405,3946581,4004603,4114658,4115632,4121483,4450278,4541700,4630086,4645859,4763068,4844480,5196808,5297950,5312123,5450040,5492553,5514059,5744363,5813376,5846409,5859323,5893058,6031523,6131295,6174803,6357540,6375059,6460763,6517859,6540048,6717443,6781376,6884605,7122952,7143803,7313843,7357554,7370459,7568500,7629048,7653059,7657058,7832666,8013321,8084488,8155609,8215859,8261526,8347228,8582679,8635859,8719643,8804968,8831243,8914859,8998403,9082200,9095049,9232346,9290805,9470459,9687680,9802283,9835150,9905589,9910192,10217475,10242923,10380203,10572059,10646205,10723432,10898640,11063603,11148966,11204661,11308403,11314586,11355952,11606723,11625216,11650870,11681128,11802180,11831906,11877083,12063861,12172405,12200459,12260970,12334859,12588992,12691226,12775446,12923843,13078368,13141269,13316668,13669468,13932059,13981044,14116523,14162616,14326859,14606886,14713164,14798243,15059003,15247586,15759059,15801445,15932943,16057005,16429466,16454248,16644100,16657859,16708705,16831708,17040059,17127472,17269346,17369843,17389150,17723483,17748683,17799059,17938658,17975123,18351083,18511029,18849563,18961734,19246043,19268406,19563565,19591283,19623004,19665059,19793389,19836923,19972920,19983923,20017288,20050446,20325803,20431653,20759732,20763059,20866980,21004859,21197723,21304448,21414746,21438083,21675112,21916403,22050268,22258112,22343253,22367843,22469535,22509803,22519449,22727005,22792859,22863443,23093608,23106909,23476278,23565323,23696858,23785333,23801992,23913563,23967504,23974809,24384501,24581723,24807004,25040376,25061363,25217032,25265843,25836028,25950746,25980309,26010059,26077283,26233859,26278523,26634683,26777241,26900459,26908058,26963442,27010859,27100168,27272406,27508225,27559859,27701858,27947950,27993805,27995459,28155302,28170423,28276270,28369161,28535459,28899803,28921163,29219363,29247388,29366601,29508405,29656760,29916059,30062723,30167243,30217101,30337909,30440605,30487689,30541859,30603868,30604043,30790163,30841058,30996506,31221923,31303763,31322248,31475632,31670459,32074859,32202205,32257672,32436083,32467150,32735123,32814563,33009870,33157658,33229523,33363855,33406283,33425512,33465059,33537540,33592566,33621443,33658888,33816203,33931524,34075226,34376483,34911059,34980604,35210528,35237529,35345483,35355565,35410086,35420603,35441858,35570459,35588112,35701163,35773376,35776286,35983708,36035459,36060409,36289881,36317905,36454408,36458843,36528726,36805403,36914243,36988041,37221059,37456405,37543403,37603701,37842626,37866249,37986803,38145203,38285459,38407763,38512283,38642646,38720459,38772323,38960580,38977468,39321059,39324386,39372083,39385749,39490859,39611844,39718875,39744059,39867373,39935848,39970204,39991150,40036626,40078859,40191765,40221860,40245048,40252102,40443443,40525763,40769349,40787843,41011209,41112563,41273723,41557952,41657243,41786728,41894603,42067523,42177059,42276508,42366800,42426678,42456923,42534203,42642059,42851805,42871216,43022749,43175459,43260604,43339870,43396706,43402888,43507353,43581486,43604953,43728683,43752205,44023163,44180205,44210661,44212859,44472445,44674043,44785672,44927829,44947686,44965658,45141059,45246088,45275679,45322643,45366693,45530483,45673058,45695459,45708592,45859283,46003150,46103005,46129763,46143203,46212313,46370459,46402941,46503059,46517186,46522204,46608563,46661123,46752696,46855528,47010069,47051243,47125552,47284375,47472059,47495068,47622923,47662650,47773658,47908859,47989380,48056363,48230118,48232552,48251243,48266232,48359963,48539723,48604826,48811859,48828249,48893843,48914169,49021883,49110748,49160459,49275059,49309283,49378312,49636403,49703243,49780859,50195363,50270459,50302523,50383172,50383881,50430059,50507950,50660066,50712803,50743859,50840160,50898059,50901849,50979688,51108980,51171083,51188672,51221003,51286809,51379403,51422166,51514870,51516323,51718763,51898883,51927059,52007844,52113059,52223123,52341059,52408821,52502646,52596783,52625603,52682906,52712469,52712843,52738859,52756163,52842203,53011883,53016246,53020283,53137043,53216858,53219483,53366934,53390003,53509150,53604059,53743523,53801061,53835059,53857763,53872859,53962763,54036803,54058859,54189683,54229504,54261621,54289643,54299511,54310859,54539483,54614329,54785459,54855688,55026683,55067546,55082123,55100459,55136589,55157605,55203780,55208963,55279859,55323606,55366859,55544005,55550601,55696859,55707589,55712603,55835963,55886003,55925459,55974059,55982306,56087205,56151443,56325683,56363123,56506403,56635763,56670923,56712059,56718803,56741250,56787683,56809859,56825459,56862083,56914859,56923403,56943059,56953390,57027923,57064883,57081148,57135563,57167003,57195180,57200459,57276866,57277859,57288443,57297203,57304283,57309803,57339059,57352149,57366059,57404805,57405059,57411443,57417803,57421043,57422363,57425243,57426059,57459800,57587256,57790658,57918746,58244557,58720909,58779445,58884032,59447605,59780305,59822786,59826352,59989897,60036765,60218908,60524000,60544484,60609540,60973672,61008192,61055725,61199368,61231792,61330776,61446746,61461070,61649853,61712649,61817844,61914100,62064866,62292790,62463513,62503150,62664405,62668821,63018268,63434293,63719349,63896781,64039216,64139546,64210980,64212205,64563388,64642275,64650176,64785663,65026408,65440045,65646133,66017590,66189126,66244536,66409058,66527066,66652806,66750565,66842032,66942733,67304646,67467862,67834045,68048066,68089500,68279906,68344068,68387848,68491712,68547004,68595381,68634216,68741858,68834605,68849289,68885766,68951760,68997123,69058408,69459388,69728392,69884409,69951592,70521405,70535334,70620808,70816669,70974268,71129306,71289448,71337126,71576858,71734888,71736366,71943429,71975960,72044118,72133058,72628800,72731448,72745309,73083004,73125146,73154709,73266870,73291912,73548544,73628989,73671266,73753284,74010001,74296920,74359389,74361325,74429786,74525103,74751348,75003780,75067528,75197286,75222832,75925658,76617832,76872386,76936329,77053176,77054646,77213493,77393306,77470720,77497058,77570730,77690709,78020470,78145468,78151328,78153505,78440668,78444441,78518473,78528054,78628826,78695541,79036058,79221108,79250048,79440986,79448409,79582270,79912348,80004032,80100678,80200629,80499004,80701749,80948413,80972955,81029992,81084508,81400854,81707400,81822879,82113986,82453401,82501058,82601526,82695718,82742112,83007112,83195725,83206510,83584035,83884168,84308186,84450969,84484165,84625686,84925150,85197832,85441053,85458021,85635208,85698146,85788781,86118765,86195061,86335706,86371152,86492120,86492973,86501005,86684823,86786786,87154560,87501026,87600232,87920244,87942746,88247001,88478533,88703205,88840717,88989700,89156304,89233590,90004536,90110845,91016858,91158741,91740909,91790132,91860016,91920825,92242658,92674837,92814952,92962586,92964864,92982381,93084876,93383001,93394204,93453505,93624564,93780190,93784206,93953788,94236153,94283833,94290626,94328968,94369689,94616752,94760968,94901186,94976872,95145405,95182496,95357950,95427866,95498724,95847561,96168026,96339609,96382660,96396375,96460058,97167546,97303635,97992808,98048880,98163866,98335150,98508386,98550261,98938204,98969318,98997765,99373846,99586658,99834870,99847812,...,26096294436447249207294247983097741624272654045497666969328131938414364454013359467547101591038605128600738072898519416826908993862835681850800381568372124903968443515024714788158982356310061637292133719638719475178391740458057983560630485321619768127945210555414762606346552327657167470542722643785601269811995380660190372983009619216037708875655575120844994942695828574454446546686366661197981608654715360241718217956652291034248169459613658843977712733102011218742367366794722666202398292203233475927185321607779456553489974157538033617075386161758892724314357190096896295290548966394375244889402904629220064116703122113129148194920188177576570324590333977048925289635796653856687608361328124260337535055578353172489970926414328549445567372629617333774588569835422063092406371020849916117104332546609570188056167935697262565855991104254099020513010330881738360558249257763379163642118420756366176902728681983546130014768563603576007946853032157289664997770051622879907414553958313615666419898496548039159855284144598875840345981635494884814345717427866033123329961075404401154038871508105209701005531169662726437971141364523269518783715707612544685156779000482156198114336777876566622816052675361946510165338969857137948562255384079885354723477825780357703718450351306879816222576290826466579362475073749972322688292436146853491038245114162378894763016742229596393637103806404983847503975637279258479156642046553548540246109869818884532770345716152444628052161014119075749443858405981272438699993034943697060631072216889900330055743571799778129277317489824038059172308958202036915009245371953179154297641980513514042288168401131212573375400620658322562994571610572933116339282257974426060112640680988696188970778811731488334390216002414199005822163953536558525666498354846652296331850108644913090546484195388407102689616764661876115310218798451465639010050607576754674645854335632956774114544959958710897497425797764195044925841659662617051563386142208157374256681362159329395838018194314770589502593521716565908269351210076076836582551864131822861808402345089808293998157680504815892478763603629248775126463670093726781352018787141097170238712741643036822710945656469896604828494812104986994235036643494412483897792638728288754092105912327279749100435710060018935374066903029488866663237107026687104304823934296123212519780613425396460137103452928287290976417069067137648695587998330358838189214383039032241}
15157   533356294792917893513822876621242401206393987892326704308199248: {227235,242384,272682,771987,984035,1044039,1165703,1180842,1377467,1665290,1967810,1998348,2012423,2130087,2331098,2343755,2361372,2401059,2557139,2812506,2874890,2967244,3069563,3212679,3330140,3449868,3601178,3996168,4238920,4327466,4385090,4495689,4521179,4547207,4561059,4602755,4768785,4884083,5086704,5144540,5262108,5523306,5677125,5722542,5933704,5953835,6055600,6171987,6173448,6232583,6496010,6675417,6812550,6945129,7073927,7144602,7266467,7266720,7323404,7651226,7704347,7751168,7795212,7946925,8175060,8441459,8476720,8671418,8720064,8739938,8839587,8898023,8903690,9383003,9460625,9536310,9810072,9936458,10105610,10172064,10220987,10397699,10434035,10616003,10684428,11006210,11015368,11036331,11352750,11443572,11485587,11748999,11960819,12103619,12109600,12126732,12297098,12387740,12392289,12520842,13132067,13207452,13404290,13476263,13623300,13848519,13912379,14194940,14285546,14397467,14531520,14601410,14752725,14865288,14924999,14939548,14986538,15500288,15736240,15922778,16085148,16097666,16192643,16250819,16347960,16645835,16647914,16723449,16971879,17033928,17086835,17168147,17437824,17474243,17476305,17515127,17521692,17596106,17703270,17747859,18391455,18641392,18883488,18965723,18997058,19036839,19163169,19475848,19617552,19975002,20105639,20206907,20226923,20241386,20504202,20567810,20648627,20805125,20826743,20971566,21039635,21147419,21243924,21409340,21534026,21910329,22064903,22069746,22080539,22223498,22871379,23137322,23544026,23712647,23987507,24115418,24528755,24644199,24681372,24764939,24793067,24966150,25021610,25247562,25282312,25287419,25567139,25691208,25904019,25949665,26083725,26211947,26573699,26630560,26733928,26864519,26907987,27093890,27242204,27406967,27501386,27541178,27562835,27822640,27852443,28225463,28442601,28461626,28867010,28902609,29247323,29263523,29434506,29451527,29752490,29791004,29959380,30025932,30075669,30377162,30558023,30809212,31008755,31139598,31269698,31300470,31301704,31521290,31897607,31956672,31966412,32122119,32295035,32413067,32512668,32718983,32878163,33075402,33387168,33802634,33875210,34064939,34324019,34640412,34832642,34943867,35214417,35545287,35608439,35702988,35951256,36363208,36559235,36563387,36606119,37070950,37210506,37316387,37367066,37512059,37512314,37560564,37617002,37825548,37977527,38254835,38279267,38340986,38754042,38926119,39152810,39155468,39187463,39344540,39484019,39590327,39989627,39995018,40289468,40322090,40362087,40445163,40650252,40908122,40908609,40998587,41234858,41552787,41781890,41921925,41957498,42073610,42203483,42232953,42282203,42414405,43206023,43267466,43725755,43871082,43934378,44013160,44485140,44607227,44716720,44790088,44979635,45242032,45305843,45568010,45743618,45905802,46261587,46334402,46494759,46983372,47213448,47450816,47477162,47998727,48386508,48700725,48704968,48721835,49041107,49189226,49317388,49497083,49514805,49736487,49737467,49919810,49962755,50138268,50277325,50306310,50388849,50488332,50675426,50742443,50897286,51112839,51437123,51523528,51947440,52035959,52233410,52348058,52470906,52514332,52590539,52815792,52845635,52958500,53115129,53162787,53351963,53382168,53536067,53549447,53550323,53577818,53589020,53645639,53660064,53664429,53975562,54075755,54242663,54253610,54359132,54681612,54682778,54702602,54793089,55810103,55982090,56034314,56484359,56557610,56567459,56568904,56763939,56805683,56898107,57135740,57229787,57963969,58009804,58108648,58152755,58154939,58440870,58466202,58486778,58569410,58906940,58947548,58986579,59368835,59417543,59417766,59436467,59662823,59839367,59903772,59930248,59955306,59986725,60054939,60290690,60332790,60347339,60367572,60378153,60426107,60488924,61012343,61102067,61207643,61388435,61563623,61722890,61793207,61870588,62336928,62378267,62635907,62680092,62768027,62978965,63399899,63414762,63481946,63550200,63640017,63724610,63734402,63740339,63886225,63985840,64130423,64306824,64354976,64780298,64890906,65009805,65095059,65104332,65201459,65218892,65372229,65455106,65684087,65819978,66263306,66301763,66539498,66749267,67040603,67178508,67330562,67421529,67448487,67786880,67869132,68213363,68382412,68444267,68501483,68509587,68562888,68569610,69004725,69343792,69775779,69783306,69834026,69878428,70003528,70078019,70129044,70283292,70688328,70901243,70996103,71155912,71242602,71351435,71493975,71624579,71660487,71734748,71824750,71984070,72345177,72348828,72366923,72399348,72421319,72631223,72854123,72907239,73398647,73448147,73515452,73605040,73666122,73764808,74067468,74246666,74548103,74780519,74782940,74930807,75273635,75295106,75574758,75655000,75680605,75761925,75948827,75990099,75995459,76010819,76109267,76217090,76260240,76378922,76469532,76499210,76539740,76550183,76650203,76663470,76783008,77133249,77272305,77392625,77812379,78011766,78456803,78753969,78772835,78894467,79024359,79524369,79825287,80049020,80050401,80263725,80377514,80578979,80704235,80812720,81213083,81283010,81344256,81774368,82199804,82283532,82423792,82436939,82537847,82601319,82789658,82805670,82915847,82940903,82985409,83104763,83284684,83552540,83558428,83631803,83973459,84171098,84399239,84959132,85111875,85195708,85430085,85484810,85614640,85621722,85683755,85743707,85792770,85915299,86155259,86189700,86323010,86380884,86509223,86685987,86824235,86878119,87160490,87439490,87612743,87995219,88252168,88276010,88326048,88717835,88802378,88870408,89111810,89266883,89433527,89652409,89668610,89734179,89739528,89969950,90205667,90328362,90428807,90599498,90786000,90816726,90914310,91125424,91171403,91353755,91460508,91512288,91614890,91799052,91847688,91935680,91996164,92045378,92170119,92191605,92397914,92479163,92726766,92793467,92871150,93097299,93179212,93439185,93530099,93637547,93754725,93834410,94028540,94047112,94527402,94708187,94937474,94993274,95116168,95648488,95675747,95729546,95772290,95924572,96058824,96209319,96316470,96665159,96838400,96845082,96929147,96975264,97065818,97178666,97539612,97681835,97689160,97996019,98050835,98220983,98337712,98370314,98395202,98773787,99026385,99062560,99145852,99283689,99366804,99408179,99613587,99622778,99668464,99790599,99890435,99979209,...,34795059248596332276392330644130322165696872060663555959104175917885819272017812623396135454718140171467650763864692555769211991817114242467733842091162833205291258020032953050878643141746748849722844959518292633571188987277410644747507313762159690837260280740553016808462069770209556627390296858380801693082660507546920497310679492288050278500874100161126659923594438099272595395581822214930642144872953813655624290608869721378997559279484878458636950310802681624989823155726296888269864389604311301236247095477039275404653298876717378156100514882345190299085809586795861727054065288525833659852537206172293418822270829484172197593226917570102093766120445302731900386181062205142250144481770832347116713407437804229986627901885771399260756496839489778366118093113896084123208494694466554822805776728812760250741557247596350087807988139005465360684013774508984480744332343684505551522824561008488235870304909311394840019691418138101343929137376209719553330360068830506543219405277751487555226531328730718879807045526131834453794642180659846419127623237154710831106614767205868205385162010806946268007374892883635250628188486031026025044954276816726246875705333976208264152449037168755497088070233815928680220451959809517264749673845439847139631303767707143604957933801742506421630101721101955439149966764999963096917723248195804654717660152216505193017355656306128524849471741873311796671967516372344638875522728738064720328146493091846043693794288203259504069548018825434332591811207975029918266657379924929414174762955853200440074324762399704172369756653098717412229745277602715886678993829270905539063522640684685389717557868174950097833867494211096750659428814097244155119043010632568080150187574651594918627705082308651112520288003218932007762885271382078034221997806462203061775800144859884120728645593851209470252822352882501487080291731268620852013400810102339566194472447510609032152726613278281196663234397018926726567788879550156068751181522944209832342241816212439194450690925753027452670124695622087877692468280101435782110069152175763815744536460119744391997543574006421189971684804838998366835284893458302375136025049521462893651616988857382430281260875293195473104659749473315992313382191325883311863723518304385005456141216436372998800580946746691913832089204039318488884316142702249472406431912394830950026374151233861946849471270571049721301889425422850198260783997773811784252285844052042988}
15158   535758752128309066279400233898771236311882060644914647048780645: {212086,287641,302980,363576,409023,514726,559477,575206,1011097,1029316,1392052,1460917,1574456,1771263,1908937,2202118,2382166,2497935,2502118,2664464,2840116,2951715,2997522,3100918,3148496,3153817,3201412,3418741,3496647,3542058,3709055,3750008,4034377,4162675,4174726,4218759,4283572,4312335,4450866,4559257,4599824,4907737,4994677,4995210,5174802,5184118,5191991,5298650,5328224,5401767,5601241,5952886,5994252,6081412,6204277,6358380,6430675,6491199,6577635,6777766,6782272,6954118,7016144,7364408,7417130,7569500,7630056,7716810,7893162,8009206,8229316,8231264,8242966,8284959,8583813,8748757,8832457,8900556,9083400,9154255,9260172,9291718,9526136,9638447,9688960,9744015,10218825,10244341,10393616,10491337,10595900,10624246,10655641,10716903,10819657,10900080,10901557,10985106,11028118,11065141,11476839,11488726,11626752,11635417,11692818,11718646,11786116,12063046,12262590,12349606,12524437,12715080,12750118,12921526,12925657,13007127,13035718,13080096,13109907,13325077,13355535,13434886,13562752,13769210,14245904,14276341,14287606,14304465,14627686,14715108,14740918,14826457,14904687,15137000,15158415,15258096,15295177,15306118,15314116,15484675,15665332,15838741,16026642,16168976,16311218,16431718,16509315,16523052,16694456,17029125,17041367,17165358,17220277,17271718,17439286,17609936,17662486,17743675,17751241,17829718,17996806,18164400,18190098,18353737,18445647,18464692,18581610,18674435,18781263,18940918,19248841,19375360,19604566,19618741,19670300,19811178,19820384,19839817,20106435,20133577,20353141,20434950,20485846,20760406,20862937,21144118,21292410,21297097,21428319,21446864,21797280,21902115,21943477,22122023,22127206,22297932,22409322,22479807,22616806,22629172,22711904,23213446,23250432,23301740,23358997,23362256,23392187,23429017,23568841,23604360,23663812,23754166,23778037,23884167,24127722,24146499,24344810,24400918,24401737,24521940,24669718,24745717,24814297,24971871,25177984,25382452,25550892,25847686,26156736,26170777,26282538,26304841,26394159,26438617,26554905,26633336,26761675,27338936,27388991,27864118,27962088,28109939,28233046,28281241,28325232,28495587,28653718,28925641,29053657,29213772,29245141,29426328,29596486,29962503,30118006,30362079,30380437,30495172,30756303,30851715,31001077,31457349,31518118,31602890,31817807,31857877,31865886,32039641,32114010,32220757,32301039,32819797,32858932,32908496,33104619,33116617,33288200,33315718,33335247,33352777,33417410,33663416,33704857,34052755,34080118,34112341,34254944,34285897,34538692,34705983,34739686,34778300,35143957,35316039,35446966,35497366,35598118,35706997,35877316,35950246,36173127,36483157,36702166,36920341,37022058,37028917,37238755,37449225,37460341,37532415,37567477,37699126,37871343,37923468,38151577,38414197,38492086,38511515,38536812,38882377,39127130,39182566,39191327,39246008,39293641,39330118,39395737,39586778,39673846,39945840,39958015,39967846,40034576,40100892,40450357,40549141,40640835,40651606,40863306,41135797,41252079,41311767,41377177,41519464,41526118,41664457,41733960,41854537,42009718,42324697,42395446,42608896,42616847,42692439,42829492,42876166,43300515,43350224,43513417,43832806,43957657,44045641,44100536,44151759,44516224,44628735,44686506,44735686,44824537,44939070,45019606,45038898,45083087,45330841,45414217,45454010,45565743,45585718,45726886,46030357,46151641,46187216,46213818,46669717,46709397,46865737,46904547,46950705,46952556,47130646,47281935,47393716,47570666,47603984,47631817,47827126,47935008,47949618,48004057,48077641,48332917,48513097,48769002,48903157,48944335,49163446,49180675,49318741,49488841,49497791,49613103,49614008,49657141,49723957,50080752,50122726,50361835,50434064,50531686,50703951,50784841,50812815,50845067,51090841,51389641,51672056,51824341,51901492,51909337,51960618,52020118,52154566,52248963,52438967,52459417,52467718,52557046,52775641,52853077,53010463,53031241,53230537,53269366,53352757,53554482,53708617,53800918,53816116,53926884,54021718,54048277,54200336,54350677,54413641,54544812,54558037,54970057,55016450,55119718,55155097,55227097,55402057,55403716,55586197,55606425,55618741,55730377,55815759,55895900,55898677,55987610,55990918,56001241,56044117,56050599,56100277,56114137,56168857,56209141,56235637,56268471,56310604,56338741,56340846,56425503,56437237,56519641,56552540,56553877,56652697,56738322,56804437,56878741,56896597,56939977,57044341,57066697,57070918,57095497,57102517,57168757,57181141,57302857,57397141,57414997,57426841,57430837,57433141,57439477,57511479,57799606,57842326,58131063,58438726,58494776,58729215,58733202,59016810,59313520,59832118,59992527,60125446,60334486,60434202,60483135,60675818,60881210,60975378,61083718,61207736,61208086,61253087,61362183,61580326,61646735,61682116,61852287,61993012,62261423,62443846,62607526,62644496,62672835,62936247,62951264,63110415,63340918,64149718,64404410,64515344,64544207,64872166,64901199,64934300,64975207,65470246,65629126,65642915,65806623,65901567,66019740,66198125,66315316,66459046,66727710,66812566,66851024,66930118,66986275,67075080,67185132,67242886,67317776,67632406,67863048,67948915,68150452,68352015,68615427,68752966,68858703,69501603,69822118,69961208,70421056,70475058,70690966,70711130,70820172,70841206,70883716,70897151,71140918,71176224,71215743,71402326,71419675,71546752,71552572,71967416,72070918,72120818,72512255,72579762,72635810,72908816,72917686,73057452,73610806,73633675,73684435,73783839,73828486,73976082,74220691,74442118,74879715,74912810,75086806,75207402,75459465,75611155,75685252,75732498,75973606,76013139,76290406,76345929,76570918,76815526,77024566,77220647,77285292,77338235,77440918,77544646,77761607,77921160,77954936,78350115,78522087,78642118,78648772,78706359,78744166,78771498,78981718,79114139,79223688,79437750,79488118,79734746,79871696,79940408,79982300,80073252,80157718,80366727,80383530,80443720,80490096,80504204,80886886,80963343,81051526,81380415,81523615,81538698,81575686,81892723,82022418,82024167,82053903,82225126,82291223,82547446,83115904,83226647,83314486,83573456,83692427,83789206,83973135,84051471,84135046,84354118,84553016,84733600,84836415,84853356,84913846,85068406,85284118,85478015,85703610,85742432,86045498,86350918,86521208,86679740,86793412,86805776,87014706,87162972,87209906,87348035,87457366,87504410,87661305,87699303,87730167,87854115,87872719,88046326,88360410,88421322,88425718,88944890,89126649,89348086,89571344,89668435,89855658,89895372,89897087,89931316,89932959,90282118,90436035,90492176,90499185,90551358,90645286,90733386,91060966,91346116,91390918,91417184,91616063,91718566,91894315,92006300,92206010,92259526,92286406,92424626,92584335,92740918,92794559,92805882,93006118,93034372,93044408,93217126,93322246,93450791,93478675,93505392,93711056,94020138,94102486,94251104,94568750,94944118,94967663,94990136,95122143,95222919,95245846,95325300,95547316,95586915,95601603,95674675,95817718,95978760,96112726,96368447,96460236,96465104,96502486,96532464,96719926,96727279,97079446,97170447,97209652,97336359,97623718,97656498,97787686,97828338,98043766,98182659,98221496,98320918,98550118,98618566,98729967,98756624,99272806,99394959,99406486,99561718,99809247,...,52192588872894498414588495966195483248545308090995333938656263876828728908026718935094203182077210257201476145797038833653817987725671363701600763136744249807936887030049429576317964712620123274584267439277438950356783480916115967121260970643239536255890421110829525212693104655314334941085445287571202539623990761320380745966019238432075417751311150241689989885391657148908893093372733322395963217309430720483436435913304582068496338919227317687955425466204022437484734733589445332404796584406466951854370643215558913106979948315076067234150772323517785448628714380193792590581097932788750489778805809258440128233406244226258296389840376355153140649180667954097850579271593307713375216722656248520675070111156706344979941852828657098891134745259234667549177139670844126184812742041699832234208665093219140376112335871394525131711982208508198041026020661763476721116498515526758327284236841512732353805457363967092260029537127207152015893706064314579329995540103245759814829107916627231332839796993096078319710568289197751680691963270989769628691434855732066246659922150808802308077743016210419402011062339325452875942282729046539037567431415225089370313558000964312396228673555753133245632105350723893020330677939714275897124510768159770709446955651560715407436900702613759632445152581652933158724950147499944645376584872293706982076490228324757789526033484459192787274207612809967695007951274558516958313284093107097080492219739637769065540691432304889256104322028238151498887716811962544877399986069887394121262144433779800660111487143599556258554634979648076118344617916404073830018490743906358308595283961027028084576336802262425146750801241316645125989143221145866232678564515948852120225281361977392377941557623462976668780432004828398011644327907073117051332996709693304592663700217289826181092968390776814205379233529323752230620437596902931278020101215153509349291708671265913548229089919917421794994851595528390089851683319325234103126772284416314748513362724318658791676036388629541179005187043433131816538702420152153673165103728263645723616804690179616587996315361009631784957527207258497550252927340187453562704037574282194340477425483286073645421891312939793209656989624209973988470073286988824967795585277456577508184211824654559498200871420120037870748133806058977733326474214053374208609647868592246425039561226850792920274206905856574581952834138134275297391175996660717676378428766078064482}
15159   538171944610965398863164673544536583082002755079605994294993391: {318129,378725,454470,484768,545364,772089,862809,1286645,1377649,1543974,1740065,1831577,1968070,2088078,2331406,2361684,2754934,2829497,3281257,3303177,3330580,3550145,3573249,3753177,3935620,3996696,4001765,4024846,4260174,4496283,4651377,4662196,4687510,4722744,4802118,5114278,5313087,5354465,5458681,5625012,5749780,5934488,6139126,6262089,6425358,6443857,6660280,6676299,6813257,6899736,7202356,7492815,7601765,7762203,7776177,7807217,7947975,7992336,8335369,8477840,8654932,8770180,8929329,8991378,9042358,9094414,9122118,9205510,9461875,9537570,9768166,10076369,10166649,10173408,10286645,10289080,10431177,10524216,10525397,11046612,11125695,11354250,11445084,11575215,11775137,11839743,11867408,11907670,12013809,12111200,12343974,12346896,12364449,12465166,12699941,12992020,13244875,13350834,13625100,13890258,13937577,14147854,14289204,14304277,14532934,14533440,14607649,14646808,14732645,15128249,15302452,15408694,15502336,15590424,15893850,15936369,16350120,16477659,16542177,16882918,16953440,17233089,17309377,17342836,17440128,17479876,17539227,17577969,17679174,17796046,17807380,18094569,18386177,18393885,18524409,18766006,18921250,19072620,19125177,19142645,19187929,19382289,19553577,19581665,19620144,19872916,20152329,20211220,20344128,20441974,20459489,20558129,20653815,20795398,20868070,21232006,21368856,21431409,21639497,21941529,22012420,22030736,22072662,22111377,22606561,22705500,22775189,22887144,22959177,22971174,23080865,23173349,23304169,23497998,23921569,23921638,24039963,24207238,24219200,24253464,24466827,24587875,24594196,24647577,24775480,24784578,25041684,25344437,25748037,25907577,26158929,26264134,26414904,26493729,26744577,26808580,26952526,26995209,27246600,27285147,27697038,27824758,27869977,27872415,28286465,28389880,28411377,28571092,28736177,28794934,29063040,29127175,29202820,29406849,29455489,29473961,29505450,29579765,29716767,29730576,29849998,29879096,29973076,30652425,30728769,31000576,31129201,31140609,31281697,31424657,31472480,31716177,31728065,31748977,31845556,31938615,32170296,32195332,32385286,32398817,32501638,32695920,33190809,33291670,33295828,33446898,33613983,33925209,33943758,33992677,34067856,34173670,34336294,34340257,34820169,34875648,34948486,34952610,35030254,35043384,35192212,35406540,35495718,35631249,36191583,36226369,36329531,36517215,36601377,36782910,37004577,37282784,37766976,37931446,37994116,38073678,38118965,38326338,38587969,38667889,38771529,38951696,39235104,39423807,39950004,40211278,40413814,40453846,40482772,41008404,41073665,41130617,41135620,41297254,41610250,41653486,41741969,41796177,41943132,42079270,42096857,42283877,42294838,42349569,42487848,42818680,42980577,43068052,43173365,43261777,43412257,43472875,43820658,44023829,44026961,44129806,44139492,44161078,44394729,44446996,44694289,44846645,45177009,45198217,45213049,45742758,45953897,46274644,47088052,47277177,47404335,47425294,47798829,47975014,48171015,48230836,48545897,49057510,49210709,49288398,49362744,49529878,49586134,49932300,49973577,50043220,50126115,50495124,50564624,50574838,51120177,51134278,51182929,51382416,51715697,51808038,51899330,52109529,52167450,52423894,53147398,53170449,53246049,53261120,53397177,53467856,53536865,53543269,53556769,53729038,53815974,53925369,54187780,54484408,54810649,54813934,55002772,55053249,55082356,55125670,55533087,55645280,55704886,56450926,56548689,56885202,56923252,57495929,57734020,57738129,57805218,58494646,58527046,58690695,58773849,58869012,58903054,58995177,59242145,59380167,59504980,59510769,59582008,59850361,59918760,59951769,60051864,60151338,60547429,60754324,60977409,61116046,61216057,61294959,61431697,61577969,61618424,62017510,62185397,62279196,62289177,62539396,62600940,62603408,62971489,63014577,63042580,63153761,63539897,63593169,63795214,63913344,63932824,64244238,64314249,64590070,64826134,64876865,65025336,65049017,65437966,65749209,65756326,66150804,66492577,66524009,66774336,67029759,67103529,67133989,67270145,67408605,67529409,67558347,67605268,67688609,67750420,68129878,68181015,68210569,68378577,68590329,68648038,69254645,69280824,69320727,69665284,69773297,69869875,69887734,69947857,70388255,70428834,70510609,70690675,70695969,70835189,71090574,71216878,71355999,71405976,71740689,71902512,71924427,72598361,72726416,72757009,73118470,73126774,73153503,73212238,73538249,73745169,73983889,74141900,74421012,74632774,74734132,75024118,75024628,75039269,75121128,75184089,75234004,75651096,75700697,75706057,75797529,75955054,76509670,76558534,76560481,76681972,77057569,77102645,77290961,77491265,77508084,77610641,77852238,77940927,78030177,78231849,78305620,78310936,78356629,78374926,78411497,78689080,78701577,78835569,78968038,79162457,79180654,79463809,79904049,79979254,79990036,80004277,80331723,80578936,80644180,80701377,80724174,80890326,81032577,81167875,81300504,81413857,81816244,81817218,81888809,81963761,81997174,82469716,82524675,82679577,82747121,82819477,82894145,83105574,83116369,83563780,83827337,83843850,83867617,83914996,83981415,83986377,84147220,84406966,84465906,84511269,84564406,84828810,85107483,85188065,85606377,85943809,86412046,86534932,86699409,86763489,87451510,87658089,87742164,87868756,87949769,88026320,88099803,88170551,88176169,88376977,88525215,88604645,88970280,89214454,89399057,89433440,89440715,89580176,89748177,89959270,90188169,90220649,90484064,90501729,90611686,90651303,91013727,91136020,91321815,91445621,91463067,91487236,91625577,91811604,91812129,91982129,92097001,92370489,92523174,92668804,92989518,93665769,93911289,93966744,94020377,94426896,94606565,94901632,94954324,95011377,95863361,95997454,96095849,96224577,96606615,96773016,97308249,97401450,97409936,97443670,97561589,98082214,98205369,98310965,98378452,98443689,98634776,98994166,99029610,99472974,99474934,99688569,99839620,99892009,99925510,99977875,...,78288883309341747621882743949293224872817962136493000907984395815243093362040078402641304773115815385802214218695558250480726981588507045552401144705116374711905330545074144364476947068930184911876401158916158425535175221374173950681891455964859304383835631666244287819039656982971502411628167931356803809435986141980571118949028857648113126626966725362534984828087485723363339640059099983593944825964146080725154653869956873102744508378840976531933138199306033656227102100384167998607194876609700427781555964823338369660469922472614100851226158485276678172943071570290688885871646899183125734668208713887660192350109366339387444584760564532729710973771001931146775868907389961570062825083984372781012605166735059517469912779242985648336702117888852001323765709506266189277219113062549748351312997639828710564168503807091787697567973312762297061539030992645215081674747773290137490926355262269098530708186045950638390044305690810728023840559096471868994993310154868639722243661874940846999259695489644117479565852433796627521037944906484654443037152283598099369989883226213203462116614524315629103016593508988179313913424093569808556351147122837634055470337001446468594343010333629699868448158026085839530496016909571413845686766152239656064170433477341073111155351053920639448667728872479399738087425221249916968064877308440560473114735342487136684289050226688789180911311419214951542511926911837775437469926139660645620738329609456653598311037148457333884156483042357227248331575217943817316099979104831091181893216650669700990167230715399334387831952469472114177516926874606110745027736115859537462892925941540542126864505203393637720126201861974967688983714831718799349017846773923278180337922042966088566912336435194465003170648007242597017466491860609675576999495064539956888995550325934739271639452586165221308068850293985628345930656395354396917030151822730264023937563006898870322343634879876132692492277393292585134777524978987851154690158426624472122770044086477988187514054582944311768507780565149697724808053630228230509747655592395468585425207035269424881994473041514447677436290810887746325379391010281180344056056361423291510716138224929110468132836969409689814485484436314960982705109930483237451693377916184866262276317736981839247301307130180056806122200709088466599989711321080061312914471802888369637559341840276189380411310358784861872929251207201412946086763994991076514567643149117096723}
15160   540595919825936536144730935355921642564727701675868646920648064: {166639,348151,424172,438799,575282,605960,681705,727152,800671,818046,890959,1029452,1118954,1150412,1251391,1610671,2022194,2058632,2315961,2784104,2859079,2921834,2952105,3132117,3148912,3497109,3542526,3817874,3917911,4005679,4132401,4163225,4180999,4356031,4404236,4705231,4764332,4919525,4995870,5004236,5140111,5192677,5328928,5680232,5745919,5827745,5903430,5918359,5995044,6037269,6176479,6201836,6296992,6307634,6390261,6402824,6519631,6776239,6837482,6993294,7031265,7084116,7187225,7202479,7203177,7372471,7418110,7500016,7626919,7671417,8068754,8302279,8325350,8349452,8437518,8567144,8624670,8722039,8901732,8973031,9002945,9118514,9199648,9208689,9306679,9638037,9815474,9989354,9990420,10349604,10368236,10383982,10597300,10656448,10803534,10818665,10962725,11121151,11202482,11905772,11988504,12015319,12162824,12257671,12408554,12716760,12815957,12861350,12980839,12982398,13155270,13487067,13539271,13555532,13563537,13564544,13641621,13683177,13808265,13908236,13935991,14032288,14306355,14652249,14728816,14834260,15139000,15260112,15433620,15504871,15582559,15786324,16018412,16124359,16240025,16278511,16458632,16462528,16485932,16569918,16662631,17031375,17121199,17167626,17497514,17501359,17664914,17728591,17801112,17804191,17861505,18030559,18166800,18256279,18308510,18515961,18520344,18583436,18697749,18780439,19052272,19128065,19276894,19375159,19377920,19488030,19744519,19891759,20026251,20258599,20437650,20488682,20623639,20787232,20835387,20982674,21191800,21221781,21248492,21311282,21433806,21492391,21639314,21678545,21779671,21799401,21800160,21803114,21849845,21970212,22056236,22130282,22137151,22259225,22846711,22953678,22977452,22987759,23113041,23253504,23270834,23385636,23437292,23572232,23840775,24126092,24313351,24525180,24589111,24699212,24841145,25048874,25205359,25264025,25324377,25430160,25500236,25545199,25843052,25851314,26014254,26017951,26071436,26144209,26160192,26219814,26286511,26518761,26650154,26694069,26711070,26753719,26869772,27125504,27515525,27538420,27546439,28004071,28149009,28381875,28491808,28552682,28575212,28587271,28608930,28908751,28972831,29228431,29255372,29430216,29481836,29652914,29809374,29988319,30113959,30274000,30316830,30516192,30590354,30612236,30628232,30662961,30742745,30799831,30969350,31103897,31108711,31193097,31302105,31330664,31677482,31848009,32053284,32145439,32337952,32566279,32622436,32863436,32864719,32983591,33018630,33046104,33108993,33220471,33220837,33279511,33388912,33510725,33514951,34058250,34082734,34330716,34440554,34456761,34543436,34878572,34960351,35219872,35246997,35324972,35356999,35487350,35502482,35525911,35638159,35659436,35713865,35882457,35993612,36084271,36139711,36310857,36328800,36380196,36470839,36503525,36580639,36707474,36853879,36891294,36929384,37163220,37176867,37287319,37348870,37466345,37555879,37562526,37881836,38193079,38455519,38497682,38716159,38750720,38768071,39209132,39237482,39340600,39385399,39396201,39538111,39622356,39639559,39640768,39679634,39740719,39806945,40212870,40244165,40267154,40428789,40490239,40706282,40869900,40971692,41029591,41126719,41464399,41520812,41545557,41619785,41725874,41737137,42176119,42222991,42288236,42584820,42594194,42856638,42871639,42893728,42917431,43192401,43594560,43773799,43804230,43886954,43990265,44038831,44244046,44254412,44257711,44258175,44561119,44595864,44647159,44774997,44818644,44959614,45157351,45233612,45258344,45283279,45423808,45574591,45739471,46106239,46426892,46500864,46506919,46603480,46717994,46724512,46784374,46858034,47137682,47208720,47327624,47477119,47492645,47508332,47556074,47665759,47673857,47768334,47926831,48255444,48257311,48292998,48577929,48689620,48752457,48801836,48803474,49005751,49043880,49179271,49339436,49350991,49491434,49628594,49822231,49937505,49943742,50117719,50170347,50214919,50355968,50470951,50603465,50628631,50764904,50846359,50907919,50915637,51101784,51211399,51260505,51301039,51419525,51504441,51566071,51695372,51938599,51966751,52134151,52134257,52271671,52298959,52313472,52341554,52422729,52428915,52545381,52565076,52609682,52673431,52777831,52788318,52877234,52881079,53008519,53058991,53109810,53243577,53257999,53266672,53428351,53523350,53688919,53804479,53835065,53895631,53916121,54074479,54227191,54460039,54522031,54562999,54644071,54677872,54763519,54777982,54918751,55174365,55268959,55356799,55543711,55558745,55728236,55815439,55846039,55876351,55891399,55924176,55941221,55950871,56219878,56270479,56397559,56422111,56466092,56562482,56608159,56650464,56666357,56745751,56833879,56897169,56942311,56950879,56991174,57016831,57110517,57134911,57168031,57205399,57245719,57272359,57307436,57320239,57349471,57368191,57381871,57394399,57434791,57441271,57447751,57452431,57456391,57489507,57843305,57851282,58107314,58427544,58490282,58852656,58860065,59192972,59925006,60236012,60288545,60316917,60620721,60680769,60724158,60760874,60990344,61512606,61703430,61945881,62002154,62415375,62480229,62554025,62648729,62914698,63036236,63118905,63205780,63442257,63635614,63715754,63731772,64079282,64228020,64441514,64602078,65639594,65717864,65730987,65816992,66194709,66209238,66233234,66241617,66576400,66631436,66670494,66705554,66834820,67326832,67409714,67607177,67734725,68105510,68160236,68224682,68509888,68522069,68571794,68614137,68753465,68852945,69077384,69411966,69479372,69556600,70287914,70506569,70632078,70893932,70994732,71137941,71154065,71196236,71413994,71754632,71900492,71962521,72167525,72346254,72619349,72966314,73404332,73586265,73840682,73932597,74044116,74057834,74294817,74379201,74381225,74477510,74898450,74920682,75064830,75134954,75398252,75742686,75846936,75862257,75942905,76303154,76701417,76788881,76828394,76984172,77023030,77073624,77712057,77764754,77848995,78174245,78251175,78254260,78365132,78382654,78492016,78587282,78635841,78660236,78791474,78803225,79173556,79347692,79721097,79891680,79916030,79935692,80069152,80201784,80593557,80723961,80900714,81098282,81281670,81303212,81726612,82220901,82271594,82504158,82623534,82688505,82754354,82952537,83038928,83052236,83328914,83467920,83557329,83709074,84019436,84506585,84649394,84676389,84688025,84790892,85217792,85233694,85327803,85384878,85658984,85752332,85822517,86305429,86601030,86700448,86707827,87026834,87081605,87540497,87665612,87741969,87790569,87915314,88091282,88201072,88303518,88354581,89032448,89257470,89373012,89471372,89649074,89878140,90039212,90077796,90166174,90227007,90661682,90828434,90908020,91131486,91171436,91453772,91527161,91674069,91900081,92060714,92303282,92374432,92427636,92677375,93026265,93339434,93417665,93418794,93731474,93780785,93809094,93901410,93905112,94042505,94261292,94563870,94787432,95128481,95141332,95207968,95263634,95654252,95692821,95852465,95870016,95899236,96008114,96155282,96366357,96665834,96782309,96885105,97026194,97239201,97538004,97806314,97882025,97888670,98156949,98326892,98361350,98634489,98637482,98977682,98995582,99226206,99228016,99314282,99447914,99987545,...,104385177745788996829176991932390966497090616181990667877312527753657457816053437870188406364154420514402952291594077667307635975451342727403201526273488499615873774060098859152635929425240246549168534878554877900713566961832231934242521941286479072511780842221659050425386209310628669882170890575142405079247981522640761491932038476864150835502622300483379979770783314297817786186745466644791926434618861440966872871826609164136992677838454635375910850932408044874969469467178890664809593168812933903708741286431117826213959896630152134468301544647035570897257428760387585181162195865577500979557611618516880256466812488452516592779680752710306281298361335908195701158543186615426750433445312497041350140222313412689959883705657314197782269490518469335098354279341688252369625484083399664468417330186438280752224671742789050263423964417016396082052041323526953442232997031053516654568473683025464707610914727934184520059074254414304031787412128629158659991080206491519629658215833254462665679593986192156639421136578395503361383926541979539257382869711464132493319844301617604616155486032420838804022124678650905751884565458093078075134862830450178740627116001928624792457347111506266491264210701447786040661355879428551794249021536319541418893911303121430814873801405227519264890305163305866317449900294999889290753169744587413964152980456649515579052066968918385574548415225619935390015902549117033916626568186214194160984439479275538131081382864609778512208644056476302997775433623925089754799972139774788242524288867559601320222974287199112517109269959296152236689235832808147660036981487812716617190567922054056169152673604524850293501602482633290251978286442291732465357129031897704240450562723954784755883115246925953337560864009656796023288655814146234102665993419386609185327400434579652362185936781553628410758467058647504461240875193805862556040202430307018698583417342531827096458179839834843589989703191056780179703366638650468206253544568832629497026725448637317583352072777259082358010374086866263633077404840304307346330207456527291447233609380359233175992630722019263569915054414516995100505854680374907125408075148564388680954850966572147290843782625879586419313979248419947976940146573977649935591170554913155016368423649309118996401742840240075741496267612117955466652948428106748417219295737184492850079122453701585840548413811713149163905668276268550594782351993321435352756857532156128964}
15161   543030725567509642801405238383617011990807793619735476949336099: {15161,530215,636258,757450,862923,908940,969536,1090728,1227069,1286815,1438015,1544178,1678431,1725618,1801303,1831819,2164591,2436091,2573290,2755298,3033291,3087948,3162379,3343951,3480130,3663154,3936140,4176156,4382751,4662812,4723368,4823599,4970203,5313789,5505295,5509868,5602471,5658994,5726811,5912311,5955415,6255295,6562514,6606354,6661160,7100290,7145611,7146498,7493805,7496251,7506354,7752295,7871240,7993392,8003530,8049692,8052031,8520348,8855145,8992566,9226711,9302754,9324392,9375020,9445488,9461451,9502303,9604236,9794059,10228556,10256223,10436815,10489941,10626174,10642471,10708930,10771291,10917362,11038831,11116171,11127165,11250024,11499560,11763679,11868976,12103131,12106831,12278252,12488025,12524178,12656277,12850716,12850951,12887714,12937005,12960295,13246625,13320560,13352598,13575799,13596991,13626514,13677771,13799472,13916071,14401303,14404712,14723211,14744719,14882215,14984031,14985630,15203530,15524406,15552354,15575973,15614434,15641071,15895950,15984672,16061551,16205301,16313371,16670738,16803723,16908043,16944415,16955680,17172703,17309864,17385295,17540360,17858658,17943199,17982756,18084716,18188828,18193111,18244236,18411020,18542825,18612831,18923750,19075140,19292025,19473597,19536332,19732905,20023015,20152738,20333298,20346816,20573290,20578160,20607415,20625703,20862354,21048432,21050794,21153031,21251071,21975931,22093224,22251390,22624591,22708500,22880911,22890168,23150430,23229295,23550274,23679486,23734816,23815340,24027618,24222400,24687948,24693792,24728898,24771511,24854877,24930332,25399882,25454623,25573951,25751439,25789903,25984040,26218903,26246271,26489750,26497371,26560615,26580751,26701668,26799703,27250200,27414331,27462765,27523771,27570295,27780516,27875154,28295708,28578408,28608554,28721815,28874551,28915341,29045671,29065868,29066880,29215298,29232045,29293616,29296615,29465290,29803279,30157615,30256498,30604904,30656475,30733023,30817388,30874015,31004672,31010599,31180848,31474011,31753711,31787700,31872738,31875295,31966923,32150709,32303815,32313211,32421703,32458971,32589295,32700240,32704671,32727739,32955318,33084354,33195423,33433951,33587215,33765836,33906880,34423025,34430517,34466178,34486423,34618754,34673419,34685672,34832863,34880256,34906251,34959752,35078454,35155938,35358348,35592092,35614760,35719015,36189138,36432559,36569215,36772354,36787770,36852295,36991291,37048818,37138231,37262731,37516951,37532012,37573311,37842500,38145240,38250354,38265295,38285290,38289511,38375858,38764578,38776971,39021381,39107154,39163330,39240288,39329721,39544231,39601051,39745832,39975231,40066605,40304658,40422440,40688256,40778045,40883948,40918978,41079295,41116258,41307630,41350591,41411671,41590796,41736140,42464012,42737712,42829023,42862818,42913395,43068091,43156951,43179295,43278994,43598215,43883058,44024840,44025799,44061472,44145324,44156215,44222754,44354299,44419291,44479371,44574295,44714061,44992015,45213122,45411000,45475245,45550378,45774288,45885531,45918354,45942348,45960079,46161730,46280971,46346698,46454025,46608338,46995996,47352295,47516223,47843138,47843276,48079926,48414476,48438400,48506928,48608911,48933654,49011415,49054231,49175750,49188392,49203103,49295154,49527945,49550960,49569156,49750831,50057503,50083368,50124811,50688874,51087375,51124101,51214615,51496074,51660831,51815154,51901015,52031863,52317858,52528268,52604551,52829808,52860295,52987458,53231025,53253723,53366551,53489154,53617160,53905052,53990418,54257179,54309151,54493200,54570294,54848119,54911791,55061211,55318015,55336941,55394076,55649516,55739954,55744830,56023305,56343789,56542015,56572930,56779760,56822754,57142184,57456751,57472354,57503131,57589868,57746523,58033615,58126080,58254350,58405640,58635931,58813698,58856223,58910978,58947922,59010900,59159530,59385415,59433534,59452303,59461152,59519451,59678971,59699996,59758192,59946152,60319305,60400731,60442711,60862025,61002295,61059423,61118551,61304850,61457538,61580299,61674295,62001152,62213371,62258402,62265991,62281218,62563394,62588811,62785303,62849314,62944960,62964859,63416791,63432354,63456130,63497954,63691112,63877230,63891291,64284957,64340592,64390664,64426351,64619215,64741543,64770572,64797634,65003276,65041303,65218831,65391840,65662171,65706345,65830431,65862031,66319759,66366069,66381618,66583340,66591656,66893796,67227966,67439421,67850418,67887516,67895179,67985354,68135712,68347340,68375803,68462503,68672588,68680514,69640338,69660295,69751296,69896972,69905220,70008703,70060508,70076991,70086768,70097071,70176561,70287051,70384424,70582615,70706523,70758463,70813080,70991436,71015179,71262498,71266711,71334111,71634295,71652501,72383166,72439497,72452738,72659062,73034430,73202754,73205211,73565820,73972831,73991215,74009154,74237151,74350363,74442891,74565568,74636263,74915613,74951611,75295015,75426571,75533952,75862892,75988232,76031071,76147356,76237930,76652676,76876111,77175938,77335778,77543058,77833111,77903392,78470208,78477799,78512331,78795295,78833263,78847614,78914523,78915751,79007225,79182477,79315851,79664715,79900008,79902703,80214391,80285025,80422556,80827628,80907692,80965544,82016808,82147330,82166973,82261234,82271240,82459351,82574071,82594508,82939003,82963099,83220500,83289295,83306972,83352751,83483938,83543525,83592354,83613583,83838799,83886264,84149131,84158540,84159511,84193714,84329817,84567754,84589676,84699138,84843723,84975696,85200295,85486761,85637360,85798063,85942651,85961154,86136104,86346730,86523554,86776923,86824514,86849215,86945750,87160971,87287503,87636379,87641316,87735423,88047658,88053922,88259612,88278984,88322156,88453819,88617415,88743415,88789458,88893992,88995295,89388578,89411311,89693290,89875615,89887509,90354018,90396434,90426098,90827611,91086237,91141311,91343863,91485516,91755415,91907794,91994503,92250331,92268909,92419303,92549288,92555145,92666011,92673079,93003231,93555631,93662911,94033291,94176104,94178203,94247815,94372047,94554354,94808670,94850588,94955311,95453421,95573631,95597658,95701351,95876539,95906383,95950028,96118923,96183439,96230215,96342030,96461672,96662271,96866263,96903117,96956503,97091794,97103611,97817825,97956415,98022991,98115020,98325295,98421418,98459391,98543557,98576796,98635471,98725488,98966945,99059756,99068671,99172268,99184615,99313857,99349851,99527503,99864600,99919615,99947154,99957631,...,156577766618683495243765487898586449745635924272986001815968791630486186724080156805282609546231630771604428437391116500961453963177014091104802289410232749423810661090148288728953894137860369823752802317832316851070350442748347901363782911929718608767671263332488575638079313965943004823256335862713607618871972283961142237898057715296226253253933450725069969656174971446726679280118199967187889651928292161450309307739913746205489016757681953063866276398612067312454204200768335997214389753219400855563111929646676739320939844945228201702452316970553356345886143140581377771743293798366251469336417427775320384700218732678774889169521129065459421947542003862293551737814779923140125650167968745562025210333470119034939825558485971296673404235777704002647531419012532378554438226125099496702625995279657421128337007614183575395135946625524594123078061985290430163349495546580274981852710524538197061416372091901276780088611381621456047681118192943737989986620309737279444487323749881693998519390979288234959131704867593255042075889812969308886074304567196198739979766452426406924233229048631258206033187017976358627826848187139617112702294245675268110940674002892937188686020667259399736896316052171679060992033819142827691373532304479312128340866954682146222310702107841278897335457744958799476174850442499833936129754616881120946229470684974273368578100453377578361822622838429903085023853823675550874939852279321291241476659218913307196622074296914667768312966084714454496663150435887634632199958209662182363786433301339401980334461430798668775663904938944228355033853749212221490055472231719074925785851883081084253729010406787275440252403723949935377967429663437598698035693547846556360675844085932177133824672870388930006341296014485194034932983721219351153998990129079913777991100651869478543278905172330442616137700587971256691861312790708793834060303645460528047875126013797740644687269759752265384984554786585170269555049957975702309380316853248944245540088172955976375028109165888623537015561130299395449616107260456461019495311184790937170850414070538849763988946083028895354872581621775492650758782020562360688112112722846583021432276449858220936265673938819379628970968872629921965410219860966474903386755832369732524552635473963678494602614260360113612244401418176933199979422642160122625828943605776739275118683680552378760822620717569723745858502414402825892173527989982153029135286298234193446}
15162   545476409840122068783237927684328808281035859609505478924221342: {196937,333278,348197,469061,619961,696302,848344,877598,921161,954387,1071461,1136175,1150564,1191557,1211920,1341497,1363410,1454304,1521161,1601342,1636092,1640777,1781918,1969061,2058904,2236937,2237908,2300824,2316267,2502782,2588427,2681957,2889017,3154661,3221342,3331397,3478457,3566597,3859935,4035461,4044388,4117264,4132947,4210757,4356617,4618661,4631922,4909061,4920175,5169737,5220195,5494731,5568208,5602757,5660357,5718158,5828515,5843668,5904210,6033977,6205961,6264234,6297824,6349061,6463397,6606137,6805637,6887335,6994218,7033157,7085052,7458377,7635748,7656197,7835822,7909961,8011358,8158843,8264802,8303417,8326450,8331461,8361998,8488491,8712062,8723237,8751161,8808472,8918537,9002117,9335717,9410462,9528664,9557477,9751097,9839050,9843771,9889157,9909531,9991740,10008472,10062115,10137161,10280222,10385354,10650435,10657856,10658597,10713317,10719747,10822661,10959161,11122697,11259531,11360464,11491838,11655490,11718775,11773961,11806860,11836718,11990088,12005295,12016997,12074538,12286277,12352958,12403672,12581561,12593984,12604123,12615268,12780522,12785695,12805648,12982661,13039262,13089317,13381961,13488849,13552478,13674964,13954131,13986588,14062530,14168232,14280377,14332937,14374450,14404958,14406354,14411717,14744942,14836220,15000032,15146131,15253838,15342834,15347815,15351461,15843257,15939261,16063395,16126661,16137508,16152377,16280837,16376043,16604558,16650700,16698904,16875036,17123657,17134288,17149061,17249340,17377337,17444078,17503877,17756357,17803464,17806757,17882297,17946062,18005890,18058277,18237028,18283961,18399296,18417378,18613358,18786267,18932297,19031561,19254437,19276074,19331571,19630948,19673657,19747397,19894661,19919177,19978708,19980840,20028897,20139461,20261561,20285957,20407817,20439771,20699208,20736472,20767964,21014117,21086537,21194600,21312896,21351461,21607068,21637330,21806777,21925450,22242302,22404964,22448837,22478445,22605895,22736035,22803017,22805295,22873637,23013775,23131961,23286609,23328531,23365961,23421651,23811544,23843925,23977008,24030638,24316997,24325648,24409061,24420415,24515342,24817108,24867461,25006107,25345337,25433520,25571657,25631914,25722700,25961678,25964796,26089157,26310540,26312837,26357477,26446661,26779291,26787987,26912777,26974134,27023237,27078542,27089417,27111064,27127074,27129088,27283242,27366354,27419237,27572537,27616530,27747257,27816472,27871982,28008377,28064576,28095161,28289957,28385625,28548677,28612710,28741961,28934597,28977317,29062661,29254217,29296697,29304498,29457632,29668520,29677577,29769175,29930057,29992997,30013961,30229107,30278000,30327461,30349963,30431561,30499947,30520224,30589783,30618437,30859935,30866597,30867240,31009742,31051961,31162915,31165118,31236677,31293531,31379897,31572648,31576191,31685477,31867961,32036824,32090117,32150537,32170661,32248718,32451557,32480050,32557022,32591417,32750777,32869961,32917264,32925056,32971864,33139836,33245477,33325262,33363461,33377085,33481157,33539897,33754661,33929657,34045961,34062750,34123337,34161977,34242398,34335252,34508297,34725645,34763179,34777603,34794917,34928057,34995028,35002718,35193161,35325411,35329828,35369635,35457182,35519229,35602224,35608382,35643977,35723010,36041427,36061118,36332335,36333600,36476837,36495161,36512558,36617020,36659717,36759151,36932537,37031922,37040688,37041161,37093347,37166872,37293497,37395498,37560878,37562117,37579961,38099823,38104544,38111561,38199461,38256130,38304677,38357177,38461961,38521735,38531657,38553788,38739977,38750318,38755840,38791877,38976060,39136037,39340997,39392057,39409061,39489038,39663161,39734625,39764297,39783518,40052502,40497161,40513637,40517198,40875300,40977364,41052857,41149961,41247278,41487557,41574464,41670774,41726537,41812731,41963717,41965348,42089477,42183461,42199097,42207295,42339461,42383600,42443562,42496984,42556517,42622564,42710597,42867612,42912831,42940217,42984782,43016357,43039843,43122617,43278628,43357090,43424057,43558661,43559342,43598802,43600320,43606228,43648037,43699690,43822947,43840697,43940424,44002661,44061317,44090597,44112472,44197935,44260564,44274302,44490115,44518450,44569097,44655161,44669477,44740937,44996537,45207557,45291461,45305417,45384747,45693422,45761477,45907356,45954904,45975518,46226082,46395977,46435877,46507008,46515461,46528697,46541668,46771272,46874584,46915015,47116037,47144464,47180297,47295461,47303125,47409977,47498597,47674661,47681550,47809107,48120197,48252184,48278537,48351161,48603077,48626702,48874937,48956837,49050360,49178222,49188677,49337657,49360457,49398424,49432977,49626531,49682290,49698617,49909061,49999411,50073161,50097748,50224697,50299877,50331977,50385317,50410718,50528050,50554661,50648754,50649017,50773817,50804837,50825477,50860320,50866661,50917961,50928197,51000472,51070661,51090398,51104935,51111077,51321161,51576377,51686104,51699267,51702628,51749897,51928131,51949061,51958457,51988495,52028508,52035902,52089161,52142872,52170175,52172357,52282277,52288418,52320384,52372997,52418057,52439628,52452883,52498661,52573022,52617681,52631561,52684217,52733907,52771337,52797317,52891961,52900517,53037522,53069957,53080015,53145161,53219717,53269061,53300308,53388138,53422140,53507438,53637797,53707961,53739544,53746661,53869157,53891897,53937161,54085961,54093317,54115337,54251008,54267461,54283707,54345737,54373961,54436997,54450917,54478661,54540617,54574757,54581561,54722597,54821177,54911561,55006661,55031050,55062857,55076840,55092878,55136777,55158531,55181655,55316537,55339961,55374857,55426661,55460837,55561637,55573227,55594661,55621961,55643657,55729723,55750217,55828037,55833161,55888997,55938917,55978277,56008142,56026757,56125961,56190137,56235017,56243897,56261561,56298018,56341831,56347961,56414777,56435237,56471561,56507237,56546117,56625161,56697161,56728517,56752457,56763750,56850617,56912057,56964617,56967461,56983616,57006437,57099461,57105364,57113957,57123461,57135161,57150424,57174542,57177797,57209417,57217860,57243077,57248777,57286661,57334661,57336137,57347657,57357317,57375531,57382757,57397577,57403961,57410057,57426617,57427935,57456677,57461561,57463097,57468197,57469961,57471077,57471497,57563787,57817502,57945662,58146867,58267699,58456862,58510744,58660731,58744995,58860432,58963672,59305828,59618748,59804095,59976638,60227918,60456987,60518095,60548000,60633660,61032384,61180708,61224472,61256464,61325922,61378467,61485490,61586371,61599662,61674387,61938700,61961445,62207794,62217422,62386194,62604210,62661328,63354964,63696018,64106568,64290878,64294227,64675904,64918491,65132558,65244872,65660335,65726872,65729438,65824587,65967182,66037260,66092208,66217986,66334131,66440942,66441674,66489703,66559022,66777824,66969331,67021450,67029902,67381315,67819683,68116500,68165468,68325567,68661432,68877531,68881108,68913522,69086872,69242595,69520047,69561895,69757144,69912507,69920702,70439744,70493994,70649944,70713998,70844851,70974700,71004964,71051822,71276318,71318872,71427730,71764707,71764914,71987224,71987335,72119889,72168542,72279422,72621714,72657600,72760392,72941678,73007050,73161278,73400481,73414948,73707758,73763625,73782588,73858768,73942731,74039407,74326440,74353734,74574638,74624995,74697740,74932690,75111758,75125052,75369091,75763672,76033311,76386158,76911038,76995364,77244111,77432318,77501440,77536142,77722731,77782243,78418264,78474964,78476787,78681200,78770798,78792402,79076222,79244712,79279118,79281536,79359268,79481187,79481438,79613890,79899391,80233731,80425740,80488330,80534308,80857578,80963215,80980478,80980627,80985627,81254095,81412564,81739800,81855441,81943384,82059182,82253438,82404091,82928798,83041624,83091114,83229175,83239570,83451748,83474274,83609931,83617245,84352238,84403963,84445982,84576472,84859395,85169640,85188388,85234131,85434175,85713276,85743278,85787456,85822867,85834862,85840735,86208531,86384802,87189120,87371215,87381525,87547598,87575635,87608460,87773908,87980530,88077662,88220547,88366467,88421883,88488092,88508824,88515422,88516350,88739295,89122238,89150301,89191728,89294318,89549994,89637288,89919228,90314702,90467224,90516688,90566558,90847616,91149182,91478942,91957275,92186307,92212478,92711659,92853784,93001728,93013838,93206960,93387603,93421827,93435988,93449024,93568748,93716068,93845091,94273971,94275364,94417440,94655248,94828615,94954238,94985290,95016664,95112148,95148531,95184195,95246931,95331518,95347714,95536668,95815845,95853662,96254851,96394123,96510888,96514622,96585996,97155858,97196451,97379240,97504914,97603672,97606948,97839379,98011502,98087760,98358542,98678872,98701982,98982868,99257188,99572427,99615691,99644462,99875010,99887484,...,234866649928025242865648231847879674618453886409479002723953187445729280086120235207923914319347446157406642656086674751442180944765521136657203434115349124135715991635222433093430841206790554735629203476748475276605525664122521852045674367894577913151506894998732863457118970948914507234884503794070411428307958425941713356847086572944339379880900176087604954484262457170090018920177299950781834477892438242175463961609870619308233525136522929595799414597918100968681306301152503995821584629829101283344667894470015108981409767417842302553678475455830034518829214710872066657614940697549377204004626141662980577050328099018162333754281693598189132921313005793440327606722169884710188475251953118343037815500205178552409738337728956945010106353666556003971297128518798567831657339187649245053938992919486131692505511421275363092703919938286891184617092977935645245024243319870412472779065786807295592124558137851915170132917072432184071521677289415606984979930464605919166730985624822540997779086468932352438697557301389882563113834719453963329111456850794298109969649678639610386349843572946887309049780526964537941740272280709425669053441368512902166411011004339405783029031000889099605344474078257518591488050728714241537060298456718968192511300432023219333466053161761918346003186617438199214262275663749750904194631925321681419344206027461410052867150680066367542733934257644854627535780735513326312409778418981936862214988828369960794933111445372001652469449127071681744994725653831451948299937314493273545679649952009102970501692146198003163495857408416342532550780623818332235083208347578612388678777824621626380593515610180913160378605585924903066951144495156398047053540321769834541013766128898265700737009305583395009511944021727791052399475581829026730998485193619870666986650977804217814918357758495663924206550881956885037791969186063190751090455468190792071812689020696610967030904639628398077476832179877755404332574936963553464070475279873416368310132259433964562542163748832935305523341695449093174424160890684691529242966777186405756275621105808274645983419124543343032308872432663238976138173030843541032168169084269874532148414674787331404398510908229069443456453308944882948115329791449712355080133748554598786828953210945517741903921390540170418366602127265399799969133963240183938743415408665108912678025520828568141233931076354585618787753621604238838260291984973229543702929447351290169}
15163   547933020859277963754089812596523714467701471956060425453748818: {30322,499917,742301,1044453,1060430,1272516,1316397,1438205,1514900,1725846,1801541,1817880,1939072,2013221,2045115,2164877,2181456,2402013,2454138,2558153,2573630,2672877,2797385,2876030,3088356,3356862,3451236,3602606,3663638,3737357,3754173,4329182,4832013,4872182,5055485,5146580,5156261,5510596,5700617,6066582,6175896,6324758,6607877,6687902,6947883,6960260,7304585,7326308,7707413,7872280,8337581,8352312,8444813,8577237,8757413,8765502,8856315,9325624,9396351,9446736,9544685,9647198,9940406,10126061,10491327,10620221,10627578,10853213,11010590,11019736,11204942,11317988,11453622,11574797,11753733,11824622,11910830,12017037,12337517,12397203,12489675,12510590,12542997,13068093,13098437,13125028,13137293,13212708,13322320,14115693,14200580,14291222,14292996,14308073,14512061,14611541,14758575,14987610,14992502,15012708,15196637,15420333,15504590,15578031,15742480,15769085,15986784,16007060,16099384,16104062,17040696,17093705,17237757,17425577,17481197,17483235,17710290,17755077,17985132,18111807,18144413,18453422,18529437,18545275,18605508,18648784,18705593,18750040,18818477,18890976,18922902,18981833,19004606,19170783,19180661,19193021,19208472,19558893,19588118,20171885,20328717,20333477,20457112,20512446,20813375,20835101,20873630,20979882,21093795,21252348,21284942,21417860,21542582,21561675,21607437,21609531,21834724,22077662,22117413,22232342,22254330,22500048,22796285,22880757,22954877,22999120,23014251,23227493,23527358,23722181,23737952,23751197,23997053,24206262,24213662,24339413,24538685,24556504,24906837,24973385,24976050,25048356,25312554,25701432,25701902,25775428,25874010,25920590,25959955,26166117,26493250,26641120,26664137,26705196,26738153,26919093,27008835,27151598,27193982,27253028,27355542,27365837,27568517,27598944,27626067,27832142,27877373,27920037,28006205,28032221,28802606,28809424,28850381,28914111,29446422,29489438,29558153,29764430,29968062,29971260,30407060,30462533,31021385,31048812,31104708,31151946,31228868,31282142,31791900,31884137,31969344,32123102,32153375,32271557,32410602,32455995,32521013,32528093,32626742,32888175,33149261,33341476,33363453,33607446,33816086,33888830,33911360,34345406,34619728,34770590,35080720,35222057,35717316,35886398,35965512,36045957,36169432,36236021,36377656,36386222,36488472,36620837,36773013,36822040,36864797,37085650,37184861,37225662,37367357,37527113,37591037,37667561,37682717,37847500,38150280,38209757,38447871,38584050,38598413,38678237,38942517,38947194,39072664,39465810,40046030,40210541,40305476,40461201,40617813,40658153,40666596,40690611,40693632,40924863,40977677,41015261,41049531,41146580,41156320,41214830,41251406,41424795,41517893,41724708,41807973,42096864,42101588,42220661,42306062,42502142,42919065,43223621,43367693,43743785,43852973,43951862,43956747,44037773,44162285,44186448,44502780,44625413,44897597,45225341,45249182,45417000,45625013,45761822,45771275,45780336,46287197,46300860,46458590,46514613,46747677,47022101,47062061,47100548,47358972,47469632,47630680,48055236,48192235,48373077,48444800,48720075,48835533,49375896,49387584,49457796,49543022,49709754,49860664,49987893,50006621,50565701,50799764,50898653,50909246,51094125,51147902,51196901,51221705,51363597,51502878,51579806,51593213,51968080,52418717,52437806,52456685,52492542,52504077,52979500,52994742,53121230,53161502,53185773,53278205,53403336,53412573,53571413,53584515,53599406,53963261,54091677,54098285,54103613,54316457,54500400,54507785,54695693,54768837,54825317,54828662,54925530,55047542,55140590,55325705,55547883,55561032,55750308,55946621,56093247,56341317,56573093,56591416,57089263,57156816,57217108,57384195,57443630,57511013,57523637,57749102,57830682,58091342,58125477,58131736,58133760,58177085,58430596,58464090,58587232,58593230,58930580,59233557,59238413,59606558,59675277,60078753,60315230,60451013,60512996,60563561,60638237,60775797,61037501,61209808,61312950,61466046,61634776,61748030,61818701,61870917,62009344,62021198,62361696,62404013,62506161,62622185,62769353,62934797,62948022,62988821,63507422,63575400,63665343,63745476,63750590,63933846,64301418,64477173,64607630,64626422,64628285,64738517,64843406,64895753,64917942,65035635,65099261,65178590,65339013,65398203,65400480,65409342,65455478,65549535,65610557,65910636,66168708,66293213,66349733,66390846,66411453,66510293,66625385,66777675,66867902,67093097,67174430,67531672,67813760,67903433,68219261,68540133,68615981,68846050,68861034,68932356,68963277,68972846,69074813,69206477,69237508,69339123,69346838,69371344,69665726,69760512,69812502,69919504,70018121,70156908,70311876,70529693,70716696,71049077,71184184,71229520,71381705,71438030,71522325,71700461,72378276,72450437,72661421,72677933,72693221,72776717,72865118,72940053,73138430,73524893,73544708,73575540,73704590,73767333,73982582,74004413,74097636,74132285,74276462,74523435,74525462,75033902,75064024,75146622,75616077,75638357,75685000,75792075,75973131,76140233,76290480,76475885,76500708,76530590,76570580,76579022,76635597,76751716,77181833,77423375,77445221,77529156,77553942,78042762,78053853,78214308,78245021,78326660,78377897,78432627,78480576,78659442,78859533,79088462,79158821,79193705,79202102,79484981,79491664,79556283,79950462,80025593,80082207,80133210,80239757,80261157,80430317,80609316,80844880,81247061,81376512,81505577,81556090,81767896,81837956,82158590,82232516,82546575,82615260,82639317,82675517,82701182,82823342,82841993,83139581,83181592,83472280,83487293,83890061,84012213,84160637,84207917,84447027,84928024,85145625,85206835,85388117,85403213,85475424,85658046,85725636,85761813,85826790,86101385,86136182,86313902,86344013,86358590,86557988,86726253,86918493,86954921,87196430,87685293,87766116,87790601,88049680,88051598,88122944,88199957,88264853,88290648,88312430,88445508,88708598,88718375,88756205,88838582,88958742,89140493,89148590,89303021,89380037,89428122,89964957,89984030,90341877,90426244,90466901,90822000,90950490,91100756,91313837,91548576,91768685,91771062,91836708,91884696,91920158,91988883,92206181,92228235,92323460,92399493,92561942,92678477,92693396,92908050,93158957,93216676,93311691,93326133,93372175,93579291,93906315,93991992,94704590,95032446,95143781,95544027,95686276,95686552,96159852,96196661,96244205,96436317,96828952,96876800,97013856,97193717,97217822,97524413,97556621,97698837,97867308,98022830,98093705,98108462,98351500,98376784,98406206,98590308,98594157,98815661,98950773,98955197,98993981,99055890,99082217,99101920,99138312,99199085,99326979,99448973,99501662,99661413,99662511,99838533,...,313155533237366990487530975797172899491271848545972003631937583260972373448160313610565219092463261543208856874782233001922907926354028182209604578820465498847621322180296577457907788275720739647505604635664633702140700885496695802727565823859437217535342526664977151276158627931886009646512671725427215237743944567922284475796115430592452506507866901450139939312349942893453358560236399934375779303856584322900618615479827492410978033515363906127732552797224134624908408401536671994428779506438801711126223859293353478641879689890456403404904633941106712691772286281162755543486587596732502938672834855550640769400437465357549778339042258130918843895084007724587103475629559846280251300335937491124050420666940238069879651116971942593346808471555408005295062838025064757108876452250198993405251990559314842256674015228367150790271893251049188246156123970580860326698991093160549963705421049076394122832744183802553560177222763242912095362236385887475979973240619474558888974647499763387997038781958576469918263409735186510084151779625938617772148609134392397479959532904852813848466458097262516412066374035952717255653696374279234225404588491350536221881348005785874377372041334518799473792632104343358121984067638285655382747064608958624256681733909364292444621404215682557794670915489917598952349700884999667872259509233762241892458941369948546737156200906755156723645245676859806170047707647351101749879704558642582482953318437826614393244148593829335536625932169428908993326300871775269264399916419324364727572866602678803960668922861597337551327809877888456710067707498424442980110944463438149851571703766162168507458020813574550880504807447899870755934859326875197396071387095693112721351688171864354267649345740777860012682592028970388069865967442438702307997980258159827555982201303738957086557810344660885232275401175942513383722625581417587668120607290921056095750252027595481289374539519504530769969109573170340539110099915951404618760633706497888491080176345911952750056218331777247074031122260598790899232214520912922038990622369581874341700828141077699527977892166057790709745163243550985301517564041124721376224225445693166042864552899716441872531347877638759257941937745259843930820439721932949806773511664739465049105270947927356989205228520720227224488802836353866399958845284320245251657887211553478550237367361104757521645241435139447491717004828805651784347055979964306058270572596468386892}
15164   550400607052468857448012274334659769652486277752119459601638981: {45483,393874,650203,666556,696394,938122,1101643,1239922,1392604,1551283,1590645,1696688,1755196,1842322,1893625,1908774,2142922,2266963,2272350,2301128,2383114,2423840,2588769,2682994,2711923,2726820,2908608,3042322,3202684,3272184,3281554,3563836,3596443,3681207,3860445,3938122,4117808,4123699,4314045,4473874,4475816,4601648,4632534,4648363,4996699,5005564,5035293,5176854,5363914,5403909,5430499,5495457,5778034,5862499,6309322,6378523,6433225,6442684,6493773,6662794,6888245,6956914,7133194,7308273,7719870,8070922,8088776,8159921,8234528,8265894,8332603,8421514,8700325,8713234,8752363,8836099,8919763,9099873,9157885,9170323,9237322,9263844,9487137,9586483,9642269,9818122,9840350,10031853,10339474,10440390,10495699,10577923,10906099,10989462,11136416,11205514,11320714,11436316,11657030,11687336,11802643,11808420,12067954,12411922,12528468,12595648,12610123,12698122,12926794,13148253,13212274,13611274,13728499,13774670,13988436,14045443,14066314,14086961,14147485,14170104,14440003,14470797,14910609,14916754,15271496,15312394,15379603,15671644,15819922,15941367,16022716,16154683,16317686,16406285,16515885,16529604,16606834,16652900,16662922,16723996,16769563,16807413,16976982,17151523,17180433,17424124,17446474,17502322,17616944,17736933,17750725,17837074,17866245,17899973,17910043,18004234,18671434,18765885,18820924,19057328,19114954,19502194,19678100,19687542,19778314,19819062,19922083,19983480,20008825,20016944,20124230,20139361,20142403,20274322,20288923,20560444,20770708,20872123,21300870,21306499,21315712,21317194,21426634,21436833,21439494,21486941,21645322,21666499,21918322,22024699,22245394,22481415,22488753,22519062,22720928,22983676,23158843,23256885,23310980,23437550,23439499,23509483,23547922,23613720,23673436,23858323,23980176,24010590,24033994,24149076,24156093,24572554,24705916,24807344,24825499,24894043,25163122,25187968,25208246,25230536,25561044,25571390,25611296,25965322,26078524,26178634,26182699,26249803,26517499,26565435,26763922,26772325,26977698,27104956,27293405,27349928,27680133,27773323,27908262,27973176,28099483,28125060,28336464,28384353,28506909,28560754,28665874,28748900,28809916,28812708,28823434,29382177,29489884,29672440,29703283,30000064,30018643,30292262,30457123,30507676,30685668,30695630,30702922,30768669,31310445,31323499,31469823,31648253,31686514,31830449,31878522,31927413,32126790,32175763,32219285,32253322,32275016,32304754,32313873,32561674,32752086,32835499,33116493,33132499,33209116,33301400,33348513,33381495,33397808,33427699,33721099,33750072,33779563,33954523,34066285,34188581,34247314,34268576,34298122,34498680,34533043,34754674,34888156,35007754,35291037,35443699,35512714,35606928,35613514,35764594,35892124,36011780,36059083,36116554,36309393,36320493,36474056,36501163,36567922,36798592,36834756,37101499,37226716,37464075,37572534,37586203,37864594,37968831,38008825,38063122,38508874,38552148,38552853,38663142,38811015,38880885,39036085,39159763,39261896,39347314,39415723,39494794,39517603,39739875,39789322,39838354,39957416,39961680,40057794,40272523,40278922,40520563,40523122,40571914,40727397,40790973,40815634,40879542,41033313,41083757,41205499,41398416,41398603,41472944,41535928,41676845,41733763,41748213,41923699,42028234,42173074,42206443,42389200,42393499,42625699,42625792,42702922,43203909,43214136,43274660,43442633,43536499,43581283,43613554,43628081,43759699,43850900,43981099,44169633,44234157,44418499,44484604,44646645,44677483,44809928,44897674,44952093,44956890,45018763,45211790,45313603,45472070,45606034,45610590,45747274,45892699,46027550,46263922,46457683,46537243,46573218,46657062,46695499,46727919,46731922,46843302,46891699,46923213,47309375,47620843,47623088,47687850,47954016,48031099,48061276,48067963,48184653,48396499,48576499,48615903,48633994,48651296,48818122,48840830,48895963,48940113,48966163,49030684,49517489,49634216,49734922,49918723,50012214,50082883,50381845,50411169,50690674,50724129,50752699,50833245,50865269,50867040,50938243,51143314,51263828,51433225,51445400,51518109,51798499,51923356,51929592,51968923,52155885,52178314,52192123,52491499,52621080,52625674,52626985,52714954,52859923,52893322,52911403,53164483,53239003,53410363,53558582,53575974,53765683,53825554,53829597,53930429,53948268,53948563,54046474,54104803,54157084,54178834,54222128,54254148,54258176,54385603,54406699,54566484,54579333,54593323,54732708,54734443,54838474,55006099,55099699,55145074,55209643,55233060,55352203,55438963,55473163,55494514,55628475,55632944,55743964,55768003,55783699,55838493,55845763,55951603,55995883,56016754,56129152,56152699,56190322,56207563,56579914,56593699,56714083,56765923,56771250,56981203,57097354,57144499,57225420,57350563,57367699,57405499,57457483,57475699,57483922,57486283,57486643,57869194,57876075,57954634,58125322,58420791,58508434,58593394,58608996,58875685,58915264,59090213,59198715,59337040,59355154,59538350,59860114,59985994,60027922,60069045,60458214,60556000,60654922,60699926,60863122,60999894,61040448,61179566,61236874,61719870,61733194,61734480,61822245,61877109,62019484,62103922,62286161,62325830,62330236,62473354,62587062,62759794,63145296,63152382,63370954,63459093,63499705,63735922,63753213,64073648,64180234,64301074,64341322,64497436,64903114,64960100,65114044,65182834,65501554,65681021,65739922,65834528,65850112,65927793,65943728,66224375,66279672,66490954,66650524,66726922,66754170,66962314,67079794,67509322,67859314,67873773,68091922,68125500,68246674,68323954,68484796,68642733,68670504,69016594,69451290,69526358,69555206,69589834,69687885,69856114,69990056,70005436,70386322,70650822,70659656,70739270,70914364,71038458,71204448,71216764,71287954,71446020,71521385,71546909,72082854,72122236,72664670,72667200,72783893,72953674,72990322,73025116,73038245,73234040,73319434,73518302,73663225,73865074,74063844,74081376,74082322,74186694,74312021,74314533,74333744,74564631,74586994,74790996,74916061,75121756,75124234,75159922,75641245,76199646,76209088,76223122,76363869,76398922,76512260,76609354,76714354,76721853,76923922,77043470,77063314,77107576,77254317,77369709,77479954,77500636,77511680,77583754,77952120,78272074,78656709,78681994,78738813,78784114,78818122,78978076,79145573,79326322,79469250,79492113,79528594,79567036,79681845,79742253,80105004,80399109,80994322,81027274,81034396,81750600,81925261,81954728,82105714,82242993,82299922,82388295,82494556,82571313,82710885,82975114,83148928,83341548,83453074,83625462,83725733,83927434,83930696,84178954,84366922,84398194,84414590,84678922,84725333,84767200,84887124,84993968,85113034,85245128,85421194,85735224,85825662,85880434,85969564,86032714,86079686,86165445,86245234,86546885,86557256,86623653,86714180,86746023,86848114,87117322,87118684,87137013,87197604,87200640,87212456,87296074,87399380,87645894,87681394,87696135,87880848,87889845,87907633,88005322,88122634,88181194,88224944,88395870,88521128,88548604,88980230,89036900,89138194,89310322,89338954,89409837,89481874,89993074,90415114,90472845,90582922,90610834,90769494,91386844,91522954,91814712,91909808,91924469,91930885,91951036,91969425,92199069,92452164,92622045,92791954,92871754,93014016,93030922,93031797,93057394,93083336,93542544,93749168,93830030,94232074,94288928,94333841,94360594,94422033,94426553,94590922,94606250,94819954,94997194,95261133,95349322,95363100,95618214,95625885,95713225,95900769,95939645,96240394,96452127,96504368,96557074,96702322,96911445,96939633,97206154,97253404,97265109,97376913,97386653,97749874,97767885,97908325,97913674,98100720,98114013,98183217,98356444,98377354,98675314,98720914,98796848,98865954,99253062,99364580,99397234,99586269,99818122,99998822,...,469733299856050485731296463695759349236907772818958005447906374891458560172240470415847828638694892314813285312173349502884361889531042273314406868230698248271431983270444866186861682413581109471258406953496950553211051328245043704091348735789155826303013789997465726914237941897829014469769007588140822856615916851883426713694173145888678759761800352175209908968524914340180037840354599901563668955784876484350927923219741238616467050273045859191598829195836201937362612602305007991643169259658202566689335788940030217962819534835684605107356950911660069037658429421744133315229881395098754408009252283325961154100656198036324667508563387196378265842626011586880655213444339769420376950503906236686075631000410357104819476675457913890020212707333112007942594257037597135663314678375298490107877985838972263385011022842550726185407839876573782369234185955871290490048486639740824945558131573614591184249116275703830340265834144864368143043354578831213969959860929211838333461971249645081995558172937864704877395114602779765126227669438907926658222913701588596219939299357279220772699687145893774618099561053929075883480544561418851338106882737025804332822022008678811566058062001778199210688948156515037182976101457428483074120596913437936385022600864046438666932106323523836692006373234876398428524551327499501808389263850643362838688412054922820105734301360132735085467868515289709255071561471026652624819556837963873724429977656739921589866222890744003304938898254143363489989451307662903896599874628986547091359299904018205941003384292396006326991714816832685065101561247636664470166416695157224777357555649243252761187031220361826320757211171849806133902288990312796094107080643539669082027532257796531401474018611166790019023888043455582104798951163658053461996970387239741333973301955608435629836715516991327848413101763913770075583938372126381502180910936381584143625378041393221934061809279256796154953664359755510808665149873927106928140950559746832736620264518867929125084327497665870611046683390898186348848321781369383058485933554372811512551242211616549291966838249086686064617744865326477952276346061687082064336338168539749064296829349574662808797021816458138886912906617889765896230659582899424710160267497109197573657906421891035483807842781080340836733204254530799599938267926480367877486830817330217825356051041657136282467862152709171237575507243208477676520583969946459087405858894702580338}
15165   552879217060098222962404093522454635100145544819794901095788399: {60644,590811,833195,999834,1044591,1407183,1484602,1740755,1859883,2013487,2088906,2120860,2193995,2545032,2558491,2632794,2763483,2830619,2863161,2876410,3029800,3214383,3408525,3451692,3574671,3603082,3635760,3828143,3878144,3916339,4003355,4024491,4026442,4090230,4329754,4362912,4372859,4454795,4563483,4804026,4908276,4922331,5116306,5147260,5345754,5594770,5752060,5907183,6093763,6176712,6256955,6710811,6713724,6902472,6948801,7077679,7205212,7327276,7474714,7508346,7765281,7810319,8045871,8053355,8658364,8667051,8803883,9463983,9664026,9744364,9994191,10110970,10226419,10293160,10312522,10435371,10529579,10699791,11021192,11401234,11579805,11779823,11967163,12065699,12106383,12133164,12351792,12398841,12632271,12649516,12704987,13069851,13215754,13362559,13375804,13855983,13895766,13920520,14240243,14295395,14609170,14652616,14727183,14760525,15414826,15479971,15509211,15660585,15744560,16484193,16675162,16704624,16723883,16808271,16889626,16981071,17154474,17485545,17514826,17531004,17712630,18101931,18197939,18617883,18651248,18792702,18893472,19047183,19089370,19294396,19390191,19589555,19818411,19880812,20028395,20116303,20252122,20416911,20467631,20659579,20662005,20816125,20904995,20906251,20982654,21099471,21240442,21255156,21706426,21780155,22021180,22039472,22076719,22375131,22409884,22630619,22635976,22907244,22968591,23149594,23182571,23507466,23526155,23649244,23729883,23821660,23931187,24034074,24476529,24597625,24675034,24794406,24910251,24979350,24994383,25021180,25085994,25354523,25465473,25700555,25796747,25963385,26136186,26169711,26196874,26250056,26253483,26274586,26425416,26644640,26755611,27006351,27128491,28007151,28231386,28240639,28401160,28503043,28582444,28585992,28616146,28672431,28729595,29024122,29053379,29138725,29223082,29253291,29517150,29531313,29591795,29667471,29728593,29975220,29985004,30025416,30186345,30393274,30411483,30813491,30840666,30882395,31009180,31156062,31484960,31538170,31914799,31951305,31973568,31975791,32014120,32139951,32159241,32198768,32208124,32411819,32467983,32598155,32877483,33368091,33442859,33778593,33881195,34081392,34083043,34187410,34354159,34475514,34851154,34962394,34962739,34966470,35156325,35321883,35420580,35510154,35936125,35970264,36012395,36015885,36050991,36223614,36232571,36288826,36343937,36858831,36862355,36906844,37058874,37090550,37211016,37297568,37336219,37411186,37500080,37636954,37744683,37781952,37812369,37845804,37963666,38009212,38134595,38341566,38357085,38361322,38386042,38416944,38947983,39117786,39176236,39208687,39267951,39505003,40145883,40343770,40466547,40657434,40666954,40914224,41024892,41511395,41626750,41670202,41747260,41862393,41959764,42113819,42187590,42504696,42569884,42835720,42841131,42998811,43079663,43085164,43123350,43214874,43219062,43235151,43279171,43429939,43610195,43669448,43819283,44155324,44234826,44425771,44464684,44508660,44865155,45000096,45014725,45438393,45550667,45592570,45761514,45909754,45998240,46028502,46043445,46054383,46402351,46454986,46533395,47054716,47070731,47444362,47475904,47502394,47529771,47817783,47993983,47994106,48190185,48379983,48412524,48427324,48457131,48565379,48678826,48842511,49077370,49113008,49128129,49813674,49946770,49952100,50070899,50096712,50625108,50777903,51370971,51402864,51403804,51447183,51550856,51748020,51841180,51919910,52132011,52332234,52511631,52986500,53269071,53282240,53328274,53410392,53420271,53476306,53646891,53838186,53946259,54017670,54093325,54174831,54303196,54387964,54506056,54703051,54711084,54731674,54813625,54851883,55137034,55197888,55252134,55605755,55664284,55754746,55840074,56012410,56064442,56358801,56514607,56796891,57094683,57605212,57618848,57700762,57763311,57828222,57994713,58892844,58978876,59020971,59116306,59242191,59528860,59561651,59683983,59757531,59936124,59942520,60076595,60086691,60418383,60784683,60814120,60857871,60925066,61223451,61241299,61288355,61319313,61827199,62042770,62097624,62209416,62230223,62303892,62457736,62564284,63042351,63228751,63259611,63565499,63583800,63768274,63774763,63938688,64054383,64079785,64246204,64306750,64543114,64821204,64904195,64911990,65042026,65056186,65058779,65075483,65253484,65420331,65679743,65776350,65879579,66298522,66682952,66726906,66933043,67214892,67346511,67435335,67469129,67474159,67632172,67696355,67777660,67817685,67822720,68041667,68208105,68409051,68415885,68620911,68690812,69041325,69239456,69395883,69541180,69679955,69801743,69859827,69985593,70097883,70135423,70161440,70264953,70365931,70444114,71019659,71285699,71434632,71531775,71663371,71710387,71772796,71931024,72091914,72338864,72472042,72494867,72755312,72772444,72950991,72976944,73227183,73241674,73261245,73439359,73546026,73644080,73729594,74171300,74369722,74451324,74589487,74602383,74734714,75018321,75054226,75182074,75335122,75365434,75695000,75737599,76036011,76300560,76310899,76419514,76714971,76895742,77168100,77196826,77356474,77455987,77524355,77641787,77885034,77894388,77912795,78145328,78255547,78267471,78854267,78931620,78938511,79072431,79339983,79924259,80092060,80337873,80363961,80421082,80610952,80621795,80622763,80738331,80922402,81069711,81200125,81235626,81268251,81316306,81333192,81381222,81387264,81392555,81447919,81849726,81955354,82030522,82099062,82257711,82293160,82312640,82429660,82502812,82717611,82849590,83035786,83241771,83313155,83449416,83615946,83861723,83967091,84025131,84193728,84203176,84285483,84441322,84612124,84869871,85004284,85156875,85346507,85605995,85646031,85838130,85965743,86225883,86447242,86579971,86735386,86803791,86931951,87187983,87487570,87506795,87671059,87705946,87762651,87890091,87903724,87913494,88075546,88324570,88372896,88642955,89005560,89020955,89032731,89250826,89307525,89553391,89790171,89795194,89978991,90003071,90041883,90152795,90362063,90450682,90479599,90498364,90687321,90834000,90982383,91049889,91250026,91281395,91294683,91499841,91523644,91542550,91560672,91769349,91855311,92574394,92579805,92599791,92601720,92917180,93029226,93155883,93275539,93488745,93495354,93710031,93880593,93902195,94044202,94124122,94139691,94201096,94717944,94728573,94939264,94981403,95054011,95056431,95261360,95603883,95640325,96110472,96270351,96384470,96451611,96511983,96746154,96875795,96889600,97354671,97440150,97601267,97611343,97671066,97774251,98118907,98252331,98609883,98662619,98722595,98751792,98775168,98915592,99086044,99419508,99458795,99462571,99721328,99736431,99934387,99975786,...,704599949784075728596944695543639023855361659228437008171859562337187840258360705623771742958042338472219927968260024254326542834296563409971610302346047372407147974905667299280292523620371664206887610430245425829816576992367565556137023103683733739454520684996198590371356912846743521704653511382211234284923875277825140070541259718833018139642700528262814863452787371510270056760531899852345503433677314726526391884829611857924700575409568788787398243793754302906043918903457511987464753889487303850034003683410045326944229302253526907661035426367490103556487644132616199972844822092648131612013878424988941731150984297054487001262845080794567398763939017380320982820166509654130565425755859355029113446500615535657229215013186870835030319060999668011913891385556395703494972017562947735161816978758458395077516534263826089278111759814860673553851278933806935735072729959611237418337197360421886776373674413555745510398751217296552214565031868246820954939791393817757500192956874467622993337259406797057316092671904169647689341504158361889987334370552382894329908949035918831159049530718840661927149341580893613825220816842128277007160324105538706499233033013018217349087093002667298816033422234772555774464152186142724611180895370156904577533901296069658000398159485285755038009559852314597642786826991249252712583895775965044258032618082384230158601452040199102628201802772934563882607342206539978937229335256945810586644966485109882384799334336116004957408347381215045234984176961494355844899811943479820637038949856027308911505076438594009490487572225249027597652341871454996705249625042735837166036333473864879141780546830542739481135816757774709200853433485469194141160620965309503623041298386694797102211027916750185028535832065183373157198426745487080192995455580859612000959952933412653444755073275486991772619652645870655113375907558189572253271366404572376215438067062089832901092713918885194232430496539633266212997724810890660392211425839620249104930396778301893687626491246498805916570025086347279523272482672054074587728900331559217268826863317424823937950257373630029096926617297989716928414519092530623096504507252809623596445244024361994213195532724687208330369359926834648844345989374349137065240401245663796360486859632836553225711764171620511255099806381796199399907401889720551816230246225995326738034076562485704423701793229063756856363260864812716514780875954919688631108788342053870507}
15166   555368899736410040081875587310395830768588641647733766926939401: {75805,90966,257533,438973,787748,891313,1251889,1300406,1333112,1341853,1392788,1499751,1700989,1876244,2203286,2226903,2237533,2479844,2651075,2785208,2948893,3102566,3133359,3181290,3391153,3393376,3510392,3684644,3787250,3817548,3949191,4007293,4285844,4314615,4533926,4544700,4602256,4766228,4847680,5177538,5228989,5365988,5404623,5423846,5453640,5661889,5817216,6039663,6084644,6135345,6178993,6405368,6434075,6494631,6522289,6544368,6563108,6607933,6864433,7127672,7190075,7192886,7206039,7362414,7460413,7674459,7720890,7876244,8018631,8235616,8247398,8392155,8628090,8947748,8951632,8976733,9006515,9159095,9203296,9265068,9296726,9393793,9643543,9809053,9993398,10011128,10070586,10353708,10387393,10716289,10727828,10807818,10822955,10860998,10990914,11212071,11262519,11452093,11556068,11724998,12020353,12180455,12343489,12618644,12757046,12821039,12866450,12885368,12987546,13325588,13776490,13913828,14266388,14336989,14496039,14616546,15166455,15439740,15468783,15589213,15811895,16141844,16177552,16319842,16469056,16531788,16665206,16719755,16843028,17101851,17400650,17426468,17504726,17508913,17672198,17811889,17839526,17887453,18113713,18199746,18315770,18340646,18474644,18527688,18863233,18974274,19172966,19284538,19383613,19636244,19680700,19806479,19823631,20063706,20340673,20678948,20843649,20880780,20991398,21140989,21155846,21812198,21860989,21913755,21978924,22272832,22411028,22502833,22641428,22856893,22872632,22968799,22998013,23122239,23314060,23374672,23605286,23616840,23801063,24117995,24135908,24823844,24851015,25012743,25056936,25191296,25220246,25284913,25334439,25396244,25731711,25759933,25853588,26097073,26272239,26296506,26365489,26424548,26568945,26765953,27031489,27222548,27456998,27526475,27549340,27755773,27976872,28012355,28090886,28132628,28173922,28189053,28294970,28340208,28600513,28634055,28664989,28880006,28941594,28986289,29242033,29305789,29561555,29777075,29821218,29833508,30190813,30378183,30542992,30624788,30759206,30876289,31276475,31343288,31430653,31473981,31639844,31860663,31882734,32045432,32309366,32559639,32635372,32812570,33031770,33059208,33213668,33295489,33305800,33325844,33447992,33531073,33539126,33589789,33614826,33940573,33953964,34172989,34303046,34360866,34519453,34724391,34806193,34848248,34892948,34977373,35004644,35034289,35233888,35261199,35473866,35501450,35543293,35599489,35674148,35728055,35732490,35799946,35820086,35823553,35935153,36008468,36051111,36157489,36212893,36708289,37012551,37191609,37342868,37469025,37481255,37531770,37628991,37641848,38114656,38210767,38229908,38761475,38787613,39004388,39149233,39204279,39295311,39356200,39375084,39411879,39556628,39638124,39659713,39844166,39912253,39966960,40017650,40033888,40248460,40260155,40278722,40284806,40411933,40548644,40560433,40577846,41099389,41120888,41541416,41744246,41772733,42081743,42245053,42347079,42571393,42601740,42612998,42631424,42634388,42853268,42873666,42878988,42924219,42940033,42973882,43168093,43290644,43332998,43536183,43834623,43836644,44049398,44106289,44275725,44490788,44585053,44714113,44962830,44977506,45012733,45038124,45106999,45181789,45223873,45441856,45589911,45640753,45967352,46133555,46171933,46252573,46260999,46317686,46513770,46611889,46621960,46734093,46875100,46878998,47018966,47095844,47227440,47307255,47346872,47511515,47692799,47716646,47730013,47960352,48021180,48067988,48069659,48298152,48312186,48553531,48822973,48970295,49068673,49145108,49207489,49379389,49411832,49614688,49650998,49788086,50179453,50326244,50375936,50404993,50416492,50461072,50532289,50689789,50845489,51122088,51142780,51222592,51271873,51281115,51331633,51713271,51930644,51998173,52157048,52184075,52193473,52276731,52330813,52357268,52365398,52439389,52443591,52449705,52499606,52732033,52810333,53034998,53066653,53130870,53212355,53265231,53527844,53544650,53838493,53856455,53929789,53955396,54209912,54335421,54433239,54474289,54586810,54650519,54699856,54759553,54799153,55086973,55194155,55360266,55546646,55580855,55580893,55588311,55597489,55635825,55816524,55853233,55899133,55929373,55946352,56003713,56116779,56198966,56250120,56269789,56455431,56473693,56636989,56672928,56755393,56768706,56786173,56855473,56893489,56945499,56992093,57013818,57097393,57121508,57183793,57210289,57247873,57293953,57331748,57376573,57388993,57411889,57447133,57497533,57497800,57498289,57501313,57501853,57501889,57512349,57541983,57579063,57619832,57625416,57646868,58347583,58676679,58764354,58818395,58979768,59344880,59406566,60000128,60037286,60515655,60534155,60584524,60914246,60986151,61000431,61015352,61371336,61391260,61405844,61537338,62440125,62505303,62620890,62646998,62939646,63281385,63296506,63373028,63660898,63757044,63854826,64253580,64254755,64351526,64438570,64506644,64550032,64609508,64627746,64685025,64801475,64822311,64828593,65123348,65504172,65670998,66232986,66233125,66264998,66352239,66418232,66602800,66697026,66762990,66795616,66855398,67442198,67500144,67559126,67634039,67878995,67909046,67984955,68132570,68377162,68388855,68494628,68537152,68596244,68642271,68864631,68997360,69042753,69066086,69509348,69580355,69682479,69776312,70015508,70534583,70582074,70887398,71025428,71166543,71213856,71227028,71253591,71529188,71784248,71991159,72006515,72023560,72118166,72233108,72618786,72640986,72948112,73002326,73018239,73135844,73597184,73616055,73669512,73677779,73723595,74202998,74411075,74453432,74720511,74920155,74928150,75145068,75172406,75729188,75937662,76017650,76126244,77017748,77104296,77105706,77326284,77622030,77761770,77879865,78072170,78205355,78319526,78498351,78523792,78570503,78694628,78831446,78989588,79035206,79479750,79578644,79676708,79914832,79923360,79992411,80115588,80214459,80307755,80545046,80557844,80757279,81026505,81041126,81046244,81143828,81454794,81566855,81581946,81631268,81759084,82066626,82097511,82167514,82410998,82425959,82705551,82796832,82797206,82878201,82945888,83071856,83353690,83467526,83496426,83632119,83760111,83847398,84018615,84056468,84096663,84346148,84412886,84540215,84722075,84778400,84786998,85251398,85251584,85405844,85863515,86407818,86428272,86549320,86551143,86742333,86885266,86926475,87072998,87162566,87227108,87256162,87519398,87575279,87701800,87962198,88339266,88468314,88537163,88674459,88836998,88899587,88969208,89293290,89354966,89619856,89715995,89795348,89904186,89913780,90037526,90423580,90627206,90944140,90965555,91212068,91221180,91387599,91494548,91563527,91785398,92055100,92527844,92714125,92915366,93064155,93074486,93146436,93314124,93390998,93455838,93463844,93686604,93783398,93846426,94618750,95241686,95246176,95375700,95652411,95908032,96062198,96122552,96135926,96369306,96460125,96778583,96792998,96814671,96820763,97152998,97231806,97267988,97302592,97367985,97563039,97584279,97636244,97681660,97791926,97880226,97932326,98061368,98664525,99034978,99268432,99447783,99469844,99837446,...,939466599712100971462592927391518698473815545637916010895812749782917120344480940831695657277389784629626570624346699005768723779062084546628813736461396496542863966540889732373723364827162218942516813906993901106422102656490087408182697471578311652606027579994931453828475883795658028939538015176281645713231833703766853427388346291777357519523600704350419817937049828680360075680709199803127337911569752968701855846439482477232934100546091718383197658391672403874725225204610015983286338519316405133378671577880060435925639069671369210214713901823320138075316858843488266630459762790197508816018504566651922308201312396072649335017126774392756531685252023173761310426888679538840753901007812473372151262000820714209638953350915827780040425414666224015885188514075194271326629356750596980215755971677944526770022045685101452370815679753147564738468371911742580980096973279481649891116263147229182368498232551407660680531668289728736286086709157662427939919721858423676666923942499290163991116345875729409754790229205559530252455338877815853316445827403177192439878598714558441545399374291787549236199122107858151766961089122837702676213765474051608665644044017357623132116124003556398421377896313030074365952202914856966148241193826875872770045201728092877333864212647047673384012746469752796857049102654999003616778527701286725677376824109845640211468602720265470170935737030579418510143122942053305249639113675927747448859955313479843179732445781488006609877796508286726979978902615325807793199749257973094182718599808036411882006768584792012653983429633665370130203122495273328940332833390314449554715111298486505522374062440723652641514422343699612267804577980625592188214161287079338164055064515593062802948037222333580038047776086911164209597902327316106923993940774479482667946603911216871259673431033982655696826203527827540151167876744252763004361821872763168287250756082786443868123618558513592309907328719511021617330299747854213856281901119493665473240529037735858250168654995331741222093366781796372697696643562738766116971867108745623025102484423233098583933676498173372129235489730652955904552692123374164128672676337079498128593658699149325617594043632916277773825813235779531792461319165798849420320534994218395147315812843782070967615685562160681673466408509061599199876535852960735754973661634660435650712102083314272564935724305418342475151014486416955353041167939892918174811717789405160676}
15167   557869704150421375799524327703713953161728949944728472354926598: {121288,136449,984685,1166473,1181622,1666390,1740985,1950609,1999668,2089182,2345305,2437057,2814366,2830993,2969204,3071593,3099805,3163633,3304929,3345277,3481510,3719766,4026974,4177812,4241720,4387990,4524169,4605805,4653849,4771935,4887313,5090064,5116982,5265588,5357305,5526966,5604697,5661238,5680875,5726322,5752820,5957785,6059600,6236713,6428766,6707485,6800889,6817050,6903384,7149342,7206164,7271520,7454653,7605805,7656286,7756288,7766307,7832678,7999009,8006710,8048982,8052884,8135769,8180460,8203885,8659508,8725824,8745718,8759737,8909590,9126966,9230377,9608052,9816552,9844662,9845305,10232612,10294520,10404589,10691508,10789329,11043217,11043621,11184685,11189540,11274697,11504120,11581335,11768353,11814366,12111649,12187526,12353424,12371097,12513910,12856057,12942135,13101913,13409785,13421622,13427448,13485193,13581193,13761649,13804944,13897602,13921609,13945089,14155358,14410424,14445085,14654552,14934889,14949428,14990097,15016692,15105879,15136273,15530562,15620638,15773305,16091742,16106710,16203373,16211727,16291497,16486371,16656985,17055049,17179537,17316728,17334102,17392285,17587497,17607766,17832985,18395929,18710557,18927966,19135569,19299675,19328052,19481319,19488728,19764589,19988382,20013553,20177305,20221940,20338873,20452838,20569033,20586320,20625044,20664735,20870742,21053785,21059158,21161449,21399582,21783085,21924819,22042384,22787293,22802468,22960993,23093305,23159610,23233657,23559646,23934326,24131398,24212766,24266328,24479763,24545305,24600875,24614209,24703584,24781369,24797682,24822397,24997809,25264542,25299032,25409974,25848685,26100975,26139702,26229337,26257089,26431508,26508297,26591329,26671213,26725118,26745277,26751608,26759289,27299619,27425377,27473655,27510969,27575833,27711966,27791532,27841040,28013785,28039753,28301785,28461411,28480486,28512649,28590790,28751449,28759449,28926807,29142575,29218340,29266993,29305232,29454366,29521050,29565997,30095559,30169885,30470617,30492217,30829652,30959942,31018422,31029805,31321170,31487097,31489120,31733769,31745305,32316985,32718297,32740873,32753629,32936617,32968386,33030685,33296257,33350324,33409248,33447766,33616542,33779252,33962142,34028185,34308948,34436675,34965277,34971090,35029652,35062008,35165785,35407929,35425260,35980777,36203862,36348739,36395878,37235766,37277713,37291885,37302496,37377313,37585404,37786944,37830369,38094366,38178740,38247649,38280985,38304877,38588792,38731369,38780382,39065569,39179110,39444759,39549805,39636822,39761624,40056790,40221433,40232606,40504244,40794215,40833822,40935262,41185497,41319158,41324010,41428513,41517085,41632250,41657305,41764153,41809990,41812502,41965308,42136329,42198942,42260883,42306349,42442455,42480884,42510312,42536737,43235353,43320009,43412391,43412852,43560310,43616185,43755805,43864657,44042360,44050633,44078944,44153438,44592685,44731827,44750262,44819768,45010585,45053629,45234169,45261238,45271952,45336313,45637417,45814488,45937182,45956809,46059613,46138809,46299188,46365142,46641193,46678585,47014932,47052310,47298488,47401897,47433673,47459766,47643320,47787385,47824101,47862374,48068148,48464049,48666349,48755485,48953058,49073917,49195250,49218855,49350068,49445785,49547655,49588812,49770877,49820502,49958700,49988766,50042360,50171988,50308689,50310575,50417353,50422239,50579233,50685805,50709046,50909569,50912329,50930946,51104449,51401110,51454569,51541299,51593494,51607297,51926770,52272372,52339422,52393748,52500112,52506966,52549172,52850832,53210799,53252175,53289280,53292985,53388433,53511222,53566585,53586193,53598735,53699919,53730129,54012702,54113305,54256982,54278953,54795805,55613485,55961593,56014302,56297655,56462772,56481278,56802320,57006086,57164888,57171984,57232292,57344862,57459190,57587857,58048244,58106758,58115953,58277450,58433353,58446164,58506582,58593875,58869805,59034300,59062626,59183590,59334942,59457186,59766249,59950440,59970008,60010249,60026475,60050832,60084985,60372690,60418083,60427209,60654649,60786548,60822966,60866769,61054273,61431385,61626982,61681332,61764790,62018360,62312124,62616369,62786077,62811217,62874673,62907805,62969920,63020615,63076340,63187993,63829598,63902610,63919497,63928475,63947136,63951582,64028240,64279902,64310499,64318482,64397536,64416248,64452553,64460823,64823638,64913305,64935966,64999497,65146753,65196310,65446585,65754966,66074097,66121369,66346753,66367489,66559777,66736182,66885718,66909805,67110973,67444245,67466259,67557186,67724857,67762390,67922833,68162784,68166086,68374820,68547553,68708318,68951028,69093217,69476529,69555229,69702308,69770655,69924788,69925478,69932940,70125649,70312650,70318497,70528449,70643766,70841160,71020308,71029213,71043793,71068393,71401885,71525137,71574969,71664685,71696449,71872250,71940528,72024790,72031770,72058585,72101982,72447228,72465142,72468279,72577652,72687874,72697297,72712753,73544809,73717662,73724710,73813688,73891873,74117748,74181100,74422032,74476497,74595136,74672438,74682129,74822372,75000160,75273908,75489366,75500377,75563904,75624738,75691608,75730655,75927332,76018424,76046569,76269190,76683132,76714170,76722644,76739075,76757305,76772084,76833888,76907389,77202397,77465617,77494513,77848057,77895966,78235572,78352472,78417374,78509293,78535902,78548097,78581833,78749409,79010006,79216285,79374913,79552497,79696305,80291766,80316975,80364589,80452273,80633305,80687540,80761885,80933094,81075049,81314868,81333908,81404185,81527293,81828448,81880215,82049784,82492969,82791433,82996393,83022790,83040399,83253500,83319969,83340404,83494520,83509537,83724786,83919528,84107233,84183649,84227638,84230353,84298449,84375180,84863677,85009392,85139768,85153059,85520727,85618285,85671440,85682262,85745305,85803697,85997622,86159326,86170328,86212969,86246700,86429748,86438124,86470302,86558342,86859878,86886685,87220390,87338896,87519385,87638566,87997057,88146531,88310648,88469652,88471609,88781785,88796797,88851542,88929368,89017320,89033785,89109849,89327113,89411485,89711699,89730310,90000192,90029450,90055929,90291385,90374449,90865873,90876786,91101334,91185140,91232473,91371369,91419805,91523028,91819508,91996480,92057004,92086890,92108766,92231137,92306007,92804702,92909972,93066790,93931335,93970497,94109432,94141462,94409469,94661485,94717657,94774897,94888724,94944759,94951808,94994449,95004788,95059542,95157805,95169553,95491347,95635566,95739757,95782239,95916073,95987966,95988212,96147937,96272185,96355453,96380370,96475537,96527289,96657855,96759966,96825048,96854648,96914262,96941619,97130758,97143673,97357652,97551937,97685022,98063449,98154740,98226016,98256258,98368285,98506497,98736985,98982433,99020473,99109309,99349479,99397497,99473305,99567997,99595885,99627348,99893540,99904200,...,1409199899568151457193889391087278047710723318456874016343719124674375680516721411247543485916084676944439855936520048508653085668593126819943220604692094744814295949811334598560585047240743328413775220860490851659633153984735131112274046207367467478909041369992397180742713825693487043409307022764422468569847750555650280141082519437666036279285401056525629726905574743020540113521063799704691006867354629453052783769659223715849401150819137577574796487587508605812087837806915023974929507778974607700068007366820090653888458604507053815322070852734980207112975288265232399945689644185296263224027756849977883462301968594108974002525690161589134797527878034760641965640333019308261130851511718710058226893001231071314458430026373741670060638121999336023827782771112791406989944035125895470323633957516916790155033068527652178556223519629721347107702557867613871470145459919222474836674394720843773552747348827111491020797502434593104429130063736493641909879582787635515000385913748935245986674518813594114632185343808339295378683008316723779974668741104765788659817898071837662318099061437681323854298683161787227650441633684256554014320648211077412998466066026036434698174186005334597632066844469545111548928304372285449222361790740313809155067802592139316000796318970571510076019119704629195285573653982498505425167791551930088516065236164768460317202904080398205256403605545869127765214684413079957874458670513891621173289932970219764769598668672232009914816694762430090469968353922988711689799623886959641274077899712054617823010152877188018980975144450498055195304683742909993410499250085471674332072666947729758283561093661085478962271633515549418401706866970938388282321241930619007246082596773389594204422055833500370057071664130366746314396853490974160385990911161719224001919905866825306889510146550973983545239305291741310226751815116379144506542732809144752430876134124179665802185427837770388464860993079266532425995449621781320784422851679240498209860793556603787375252982492997611833140050172694559046544965344108149175457800663118434537653726634849647875900514747260058193853234595979433856829038185061246193009014505619247192890488048723988426391065449374416660738719853669297688691978748698274130480802491327592720973719265673106451423528343241022510199612763592398799814803779441103632460492451990653476068153124971408847403586458127513712726521729625433029561751909839377262217576684107741014}
15168   560381679586858999275407719726847736941130119809390007925082662: {106127,151610,181932,287831,439031,469247,515066,559847,710687,877946,921527,1011767,1575496,1611527,1772433,1782626,2059247,2267567,2499585,2503778,2600812,2666224,2683706,2785576,2978831,2999502,3133773,3155927,3401978,3421031,3568031,3711505,3752488,4037087,4124807,4183247,4221549,4406572,4453806,4475066,4707767,4959688,4998047,5142887,5222265,5302150,5570416,5579649,5749031,5864087,5897786,5921567,6036431,6040461,6205132,6208487,6266718,6351647,6362580,6581985,6782306,6786752,7020784,7191025,7319831,7369288,7574500,7635096,7675473,7898382,7913207,7997687,8014586,8290449,8419007,8491857,8571688,8589483,8629230,8838527,8977967,9005831,9007705,9067852,9089400,9172847,9204512,9532456,9643149,9695360,10066105,10225575,10355076,10388831,10457978,10724013,10731976,10809246,10824385,10847692,10907280,10909127,10963727,11323778,11484429,11634432,11749017,11778887,11860007,12010065,12073473,12079326,12169288,12270690,12357986,12609121,12667247,12790765,12810736,12822733,12868150,12989262,13044578,13088736,13094831,13118577,13126216,13215866,13364385,13467287,13690449,13728866,13785287,13986925,14049407,14255344,14286431,14380150,14385772,14412078,14417831,14724828,14766993,14920826,14967527,15152137,15306047,15348918,15435887,15441780,15694967,15752488,16037262,16390487,16471232,16494796,16774367,16784310,17052637,17232647,17256180,17721549,17890031,17895496,17903264,17915207,17953466,18013030,18281289,18318190,18367007,18406592,18530136,18593452,18686785,18770865,18787586,18791327,19287086,19386431,19618106,19756031,19854287,19986796,20001431,20022256,20132433,20141172,20148287,20270447,20343647,20368031,20489831,20707416,20774786,20846403,21095831,21233037,21360887,21432578,21455656,21615636,21645910,21720767,21721996,21981828,22136653,22424142,22525038,22529831,22883831,22904186,23112136,23295843,23407657,23430957,23446487,23449996,23911847,24040706,24073967,24137613,24160065,24360910,24420047,24686978,24878687,24947207,25220567,25237288,25277425,25514092,25642078,25732900,25763831,25770736,25781305,25786367,25975092,26001153,26302487,26411649,26525567,26651176,27101831,27552980,27781847,27827656,28108127,28128529,28391949,28503085,28532776,28673978,28992078,29076167,29233092,29267831,29982573,30007031,30090887,30332910,30404207,30679257,30757127,30879480,30937566,31128287,31178426,31306113,31588737,31623790,31883087,31984247,32099373,32165831,32246327,32283688,32355104,32467031,32587007,32639684,32885687,32938112,33039385,33063576,33241727,33330412,33379487,33438407,33439510,33556031,33686056,33765193,33770927,33965447,34203702,34313567,34409807,34525031,34544207,34739415,34791421,34801300,34852936,35009452,35017826,35339469,35344396,35380031,35455247,35623778,35679052,35736167,35774906,35829407,35901489,36107927,36197097,36227426,36237287,36319149,36399492,36522925,36604727,36631540,36677831,36681292,36949288,36950831,37055376,37059527,37113767,37196523,37580831,37726466,37896813,37948548,38114961,38130647,38183447,38345932,38376431,38537065,38551031,38569076,38767226,38811431,38915087,39172967,39209553,39217297,39272488,39361400,39412031,39564887,39612958,39647262,39683327,39919031,39935807,40087677,40127412,40418831,40567367,40583831,40681346,40764407,40927727,41219687,41357896,41386177,41412887,41493047,41567949,41687298,41687905,41761560,41779967,41982796,42205487,42224065,42252407,42281978,42311692,42408287,42439367,42720729,42886185,42962831,43551887,43581767,43624396,43721978,43787065,43804847,43827510,43864031,43957848,43996727,44026127,44070167,44158031,44181549,44281575,44545664,44722127,44807831,44822056,45005666,45020831,45034967,45282856,45371831,45455327,45713786,45745264,45937598,45996026,46139927,46193831,46244478,46261031,46274447,46439913,46461431,46527633,46628120,46749344,46974047,46981755,47210572,47233680,47360087,47602126,47723425,47738927,47888447,48110567,48235990,48271816,48378527,48414767,48832247,48844031,49147607,49452579,49647688,49702030,49732969,49760831,49938047,50019277,50025486,50113872,50171649,50361431,50382592,50424813,50440492,50569826,50615927,50630305,50668878,50772647,50792488,50834831,50886431,50943213,51232007,51341831,51351767,51381527,51463422,51519866,51707176,51961607,52008647,52120727,52194146,52213247,52286687,52341431,52456635,52473757,52530767,52544478,52593012,52663847,52690247,52730978,52742831,52829831,52849096,52958831,53052287,53086031,53101105,53137890,53203127,53252831,53505047,53531906,53724913,53765087,53803727,53926031,53971367,54062978,54105647,54149831,54266065,54302207,54305793,54430007,54445096,54506831,54534527,54593817,54771407,54913996,54947447,54966647,55030127,55042727,55052950,55098680,55317767,55511546,55593287,55598831,55648367,55853649,55870967,55942031,55953744,55962047,56021327,56024710,56089031,56164487,56178407,56181772,56228831,56265256,56273831,56322407,56347844,56364217,56378106,56387087,56486831,56490887,56589940,56680416,56737367,56799647,56809597,56869031,56872247,56888207,56988527,57008687,57047831,57111287,57113831,57126431,57141549,57148607,57172487,57177167,57201026,57239327,57262031,57268110,57291431,57310031,57329567,57329978,57336431,57383831,57462767,57487127,57499367,57505607,57506447,57507647,57509831,57514031,57515687,57516527,57517007,57760012,57873985,57883188,57972578,58170573,58484066,58611578,58768665,59123110,59455233,59554150,59642436,59667016,60085185,60348909,60381626,60756366,61085984,61249576,61250733,61402893,61518412,61687585,61752578,61978737,61986015,62448375,62552950,62686576,62714985,62718753,62861306,62947962,63279688,63298413,63721326,63765468,64090864,64586977,64618732,65119278,65270744,65340465,65492185,65625140,65686465,66063540,66118416,66230157,66427336,66516121,66590978,66611600,66651688,66895984,67062146,67078252,67125393,67179578,67229652,67881146,67891857,67907928,68345978,68558413,68606092,68721732,68905773,69038906,69448782,69547713,69612386,69696496,69785896,69954746,70009288,70068578,70467776,70522398,70578465,70947732,71002900,71086586,71189649,71198978,71348296,71456110,71464980,71540365,71599892,71640172,71647106,71793561,71870306,72016936,72102222,72314978,72425786,72560305,73057705,73416578,73429587,73792875,74025102,74383218,74497297,74685736,74730753,74938050,74962510,74983149,75063540,75257982,75283696,75399037,75983185,76063569,76229312,76396419,76421534,76459816,77101665,77271817,77390241,77522950,77575226,77813197,77890155,78008776,78298466,78408558,78509133,78590622,78712400,78750168,78760449,78823758,78845425,79113256,79276248,79319426,79688332,79824506,79931137,79933920,80035300,80067776,80266833,80496920,80520310,80557444,80569612,80823866,81019053,81097288,81120866,81155692,81385473,82198778,82241776,82345753,83082832,83488492,83545466,84021453,84163486,84490106,84694158,84721917,84747817,85142786,85203480,85225996,85262848,85268776,85468525,85509129,85706536,85747332,85757976,85848438,85880066,85947764,86017293,86188785,86336186,86581288,86665996,87072366,87127885,87160137,87405985,87416175,87669246,87673288,87759873,88098796,88212578,88551450,88593939,88775385,88981576,89002413,89170106,89185779,89428226,89925660,89955012,89956657,90025466,90076248,90213998,90363578,90447746,90559035,90722065,90883712,91179822,91234449,91281506,91934704,92267110,92343866,92440473,92505146,92521998,92635372,92647185,92726375,92856049,93027540,93223778,93243920,93468186,93527965,93750200,93757996,94037932,94092385,94191688,94454880,94614510,94693744,94909165,95023030,95030593,95178937,95385598,95433292,95460026,95744397,95853915,95903305,95920704,95927373,95965105,96042360,96135976,96139318,96419853,96477723,96596304,96624372,97107062,97235457,97403949,97412497,97645946,97794465,97878253,97940590,98137346,98290216,98414978,98632449,98758778,98823664,99229376,99301996,99576172,...,2113799849352227185790834086630917071566084977685311024515578687011563520775082116871315228874127015416659783904780072762979628502889690229914830907038142117221443924717001897840877570861114992620662831290736277489449730977102696668411069311051201218363562054988595771114070738540230565113960534146633702854771625833475420211623779156499054418928101584788444590358362114530810170281595699557036510301031944179579175654488835573774101726228706366362194731381262908718131756710372535962394261668461911550102011050230135980832687906760580722983106279102470310669462932397848599918534466277944394836041635274966825193452952891163461003788535242383702196291817052140962948460499528962391696277267578065087340339501846606971687645039560612505090957182999004035741674156669187110484916052688843205485450936275375185232549602791478267834335279444582020661553836801420807205218189878833712255011592081265660329121023240667236531196253651889656643695095604740462864819374181453272500578870623402868980011778220391171948278015712508943068024512475085669962003111657148682989726847107756493477148592156521985781448024742680841475662450526384831021480972316616119497699099039054652047261279008001896448100266704317667323392456558428173833542686110470713732601703888208974001194478455857265114028679556943792928360480973747758137751687327895132774097854247152690475804356120597307884605408318803691647822026619619936811688005770837431759934899455329647154398003008348014872225042143645135704952530884483067534699435830439461911116849568081926734515229315782028471462716675747082792957025614364990115748875128207511498109000421594637425341640491628218443407450273324127602560300456407582423481862895928510869123895160084391306633083750250555085607496195550119471595280236461240578986366742578836002879858800237960334265219826460975317858957937611965340127722674568716759814099213717128646314201186269498703278141756655582697291489618899798638993174432671981176634277518860747314791190334905681062879473739496417749710075259041838569817448016162223763186700994677651806480589952274471813850772120890087290779851893969150785243557277591869289513521758428870789335732073085982639586598174061624991108079780503946533037968123047411195721203736991389081460578898509659677135292514861533765299419145388598199722205669161655448690738677985980214102229687457113271105379687191270569089782594438149544342627864759065893326365026161611521}
15169   562904875547100048545387337458940172883965451382150648500763206: {227415,242576,272898,772599,1316919,1378559,1969370,2332946,2363244,2437379,2673939,3164051,3251015,3283427,3332780,3345719,3481970,3738839,3755667,3901218,3999336,4025559,4178364,4339727,4499253,4690610,4874114,5102967,5462291,5508215,5628732,5661986,5938408,6143186,6154247,6199610,6327266,6448127,6609858,6680709,6690554,6712599,6963020,7439532,7500227,7756415,7953225,7968767,8053948,8331671,8340899,8355624,8483440,8775980,8846679,9048338,9211610,9307698,9390479,9400077,9468125,9543870,9774626,10173459,10180128,10233964,10531176,10648127,10714610,11053932,11122067,11209394,11322476,11334815,11361750,11452644,11485439,11505640,11847573,11915570,12021879,12119200,12342419,12473426,12857532,12943845,13414970,13559615,13601778,13634100,13783427,13806768,14298684,14313767,14412328,14517827,14543040,14909306,15211610,15312572,15484079,15512576,15532614,15649367,15658559,15665356,15686967,15998018,16013420,16070087,16097964,16105768,16213869,16263767,16271538,16360920,16407770,16917011,16985667,17319016,17320847,17451648,17491436,17519474,17819180,17982215,18118989,18253932,18406035,18460754,18536979,18773699,19200659,19216104,19302225,19483893,19566867,19633104,19689324,19690610,19823799,20155967,20223119,20243039,20465224,20589040,20593299,20618495,20809178,20911799,20998307,21383016,21570225,21578658,21618117,21987587,22082627,22086434,22087242,22369370,22379080,22381239,22549394,22893047,23008240,23023377,23162670,23241815,23319779,23536706,23628732,24055893,24223298,24349199,24375052,24706848,24742194,24966179,24983495,25027820,25176465,25307567,25468151,25712114,25884270,26203826,26819570,26843244,26854896,26930199,26970386,27019545,27135719,27152495,27162386,27477285,27523298,27609888,27742679,27795204,27843218,27888467,27890178,28181379,28248227,28310716,28510607,28820848,28890170,28930629,29286839,29309104,29312495,29427159,29475299,29869778,29898856,29980194,30033384,30211758,30272546,30496319,31061124,31162179,31241276,31546610,31892615,32148867,32166125,32183484,32213420,32330627,32406746,32423454,32468865,32582994,32904359,32972742,33313970,33636213,33696767,33787557,34110098,34351367,34356279,34359074,34363427,34441225,34504751,34633456,34668204,34691987,34784570,35174994,35215532,35475719,35665970,36061059,36188159,36541365,36791858,37030467,37421114,37606151,37855932,38271138,38463117,38599350,38656104,38693759,38962638,38977456,39078839,39219299,39529178,39565247,39622499,39976764,40027106,40354610,40443880,40677746,40799605,40905676,41138066,41172640,41250088,41329470,41372567,41663015,41741484,42107570,42118316,42237839,42322898,42799164,43010967,43179887,43441727,43488117,43501625,43566170,43761815,43849638,43999919,44055479,44084768,44180495,44378147,44443427,44598815,45201767,45243779,45499365,45574586,45604936,45789425,45851615,45921986,46186610,46242959,46319220,46406349,46467314,46767639,47119292,47251367,47435685,47512991,47541059,47639459,47868652,47932415,48211345,48262796,48425532,48532656,48959526,49090610,49201750,49228418,49232099,49407168,49562738,49595364,49644794,49857827,49995618,50151827,50159265,50529084,50598064,50819948,51305553,51478391,51697370,52059839,52201950,52208639,52279404,52458674,52478495,52514178,52526739,52863016,52889615,53016594,53182658,53342426,53435667,53450236,53490554,53503216,53518578,53579279,53593379,53662359,53985107,54341139,54530495,54599238,54847319,54850754,54941447,54947310,55021938,55151666,55292879,55369727,55423932,55583064,55682080,56027570,56079506,56170847,56171267,56529731,56589699,56595839,56603570,56922822,56960972,57025298,57111901,57181580,57502898,57518898,57853614,58095239,58123919,58150839,58285150,58320227,58436680,58533986,58610464,58908732,59013215,59042100,59131994,59419437,59470893,59778287,59890451,60191118,60339770,60396167,60941234,60984434,61022019,61062659,61258127,61613651,61659304,61919884,62036844,62059610,62429759,62530947,62642340,62974194,62978240,63014819,63050615,63422967,63467538,63490610,64362899,64633970,65350019,65436594,65481746,65507258,65582967,65741265,65873234,65936772,66061370,66592514,66700648,66818496,66895532,66902339,67233084,67508499,67558504,67924284,68056370,68217599,68247047,68257679,68412419,68570679,68617896,68642495,68873350,68906397,68994039,69057599,69224099,69366717,69930554,69942180,70059304,70059491,70124016,70227215,70331570,70384679,70434805,70737425,70815858,70850520,70960127,71403189,71502467,71534759,71682767,71961554,72200015,72353985,72407724,72697478,72791756,72948167,74390339,74471532,74553045,74555426,74583770,74604992,74610179,74676719,74754626,74993219,75038229,75170808,75573888,75660738,75758627,75854739,76003317,76171199,76188732,76357480,76495298,76540067,76561970,76609754,76611971,76714127,76898015,76911599,77177584,77195133,77279799,77462738,77560764,77858879,78131138,78291219,78358220,78409799,78816717,78889518,79096467,79099610,79273644,79385591,79523248,79706835,79939859,80113580,80272439,80297859,80442866,80465212,80773415,81008488,81094467,81588430,81667644,81870524,81955967,82031425,82370994,82417727,82579425,82601279,82638316,82648020,82857026,82875767,83034170,83264500,83267319,83314610,83397767,83528306,83619980,83625004,83658359,83847815,83923727,83930616,83989919,84037065,84118979,84272658,84397884,84521766,84567159,84612698,84732167,84884910,84961768,85020624,85073474,85757615,85801539,85902165,85919399,85994967,86003939,86470706,86579219,86603039,86640018,86824782,86825704,86958867,87120620,87232370,87326759,87511610,87726099,87729314,87917367,88070927,88084720,88101266,88157888,88228861,88306876,88501187,88684665,88753625,89185370,89331225,89463654,89499865,89500524,89522519,89550215,89639536,90021170,90107258,90278039,90468338,90522476,90543904,90572439,90672626,90878627,90963767,91134549,91274834,91350551,91625219,91628976,91874364,91913618,92119226,92158691,92277618,92598376,92628867,92730284,92869439,93282386,93357170,93673727,93713639,93829425,94029864,94104620,94291959,94421943,94596976,94730399,94803794,94847639,94867346,94919532,95079959,95286640,95574770,95581989,95648202,95724748,95815967,96136296,96236327,96928098,97157027,97332698,97510970,97678917,97883939,97906116,98147834,98390500,98437710,98700136,98891570,99095310,99177624,99243479,99489767,99541754,99610415,99641004,99886467,99917400,99962639,99977532,...,2818399799136302914387778782174556095421446636913748032687438249348751361033442822495086971832169353888879711873040097017306171337186253639886441209384189489628591899622669197121170094481486656827550441720981703319266307969470262224548092414734934957818082739984794361485427651386974086818614045528844937139695501111300560282165038875332072558570802113051259453811149486041080227042127599409382013734709258906105567539318447431698802301638275155149592975175017211624175675613830047949859015557949215400136014733640181307776917209014107630644141705469960414225950576530464799891379288370592526448055513699955766924603937188217948005051380323178269595055756069521283931280666038616522261703023437420116453786002462142628916860052747483340121276243998672047655565542225582813979888070251790940647267915033833580310066137055304357112447039259442694215405115735227742940290919838444949673348789441687547105494697654222982041595004869186208858260127472987283819759165575271030000771827497870491973349037627188229264370687616678590757366016633447559949337482209531577319635796143675324636198122875362647708597366323574455300883267368513108028641296422154825996932132052072869396348372010669195264133688939090223097856608744570898444723581480627618310135605184278632001592637941143020152038239409258390571147307964997010850335583103860177032130472329536920634405808160796410512807211091738255530429368826159915748917341027783242346579865940439529539197337344464019829633389524860180939936707845977423379599247773919282548155799424109235646020305754376037961950288900996110390609367485819986820998500170943348664145333895459516567122187322170957924543267031098836803413733941876776564642483861238014492165193546779188408844111667000740114143328260733492628793706981948320771981822323438448003839811733650613779020293101947967090478610583482620453503630232758289013085465618289504861752268248359331604370855675540776929721986158533064851990899243562641568845703358480996419721587113207574750505964985995223666280100345389118093089930688216298350915601326236869075307453269699295751801029494520116387706469191958867713658076370122492386018029011238494385780976097447976852782130898748833321477439707338595377383957497396548260961604982655185441947438531346212902847056686482045020399225527184797599629607558882207264920984903981306952136306249942817694807172916255027425453043459250866059123503819678754524435153368215482028}
15170   565439341750116766367219440531471820517210272119604736608904722: {212254,303220,363864,409347,469309,575662,878062,938494,1030132,1119694,1192189,1421374,1462081,1641649,1755892,1843054,2023534,2089309,2357041,2954055,3150992,3223054,3333181,3499419,3544866,3565252,3597889,4118494,4165975,4213021,4535134,4999170,5007556,5172529,5196107,5201624,5222955,5332448,5367412,5519281,5571152,5851827,5957662,5999004,6267546,6311854,6381121,6466909,6723841,6803956,6842062,7035915,7136062,7150621,7311171,7423010,7504976,7914289,8074174,8249614,8366494,8420161,8443098,8492979,8703775,8813144,8839741,8907612,8923441,8950132,9007069,9214779,9299415,9415534,9490899,9914787,9919376,9996094,10004989,10035831,10067435,10252849,10285774,10444530,10582321,10604300,10664509,10828669,10969975,11074369,11140832,11159298,11498062,11728174,11795572,11807581,11843134,11888689,12072862,12080922,12410264,12416974,12533436,12534961,12610787,12703294,12725160,12792455,13096669,13163970,13564612,13572507,13573504,13817415,13961547,14041568,14092547,14130481,14153095,14315805,14382050,14446129,14639662,14661939,14738576,14995741,15149000,15154139,15270192,15308221,15350946,15796764,15826414,15995374,16029172,16071915,16392829,16580898,16814091,16838014,16983714,17042625,17143376,17178966,17235121,17258460,17387329,17677054,17873355,17907071,17917789,17955934,17993281,18011662,18015410,18135704,18178800,18345694,18409024,18710139,19042609,19064912,19140715,19286298,19390720,19581695,19857181,20004349,20016775,20122455,20132210,20147347,20297821,20371009,20402667,20451150,20710152,20777662,20915956,21026461,21448026,21460189,21463952,21618492,21648770,21695384,21814560,21818254,21864295,21927454,22273975,22363959,22391041,22647556,22816561,22817415,22968858,23268864,23298921,23498034,23520001,23557774,23589949,23720014,23938609,23997027,24020130,24146946,24158652,24338576,24407307,24423709,24541380,24611655,24715972,24768049,24905281,24973789,25218242,25334494,25581530,25621472,25645466,25736300,25790269,25978524,26089156,26161499,26177472,26189662,26194621,26237154,26252432,26261761,26279211,26328829,26431732,26462749,26728770,26934574,27380898,27457732,27570574,27691131,27851521,27973850,28098814,28112449,28510688,28566301,28572862,28760300,28771544,28824156,28835662,29080669,29399809,29449656,29533986,29535915,29841652,29935054,30032689,30095581,30304274,30346429,30468815,30533809,30612094,30697836,30871774,30883560,31124467,31213767,31284775,31338301,31389934,31399681,31504976,32074524,32191069,32251441,32367987,32612161,32780974,32851201,32942464,32989592,33129651,33130863,33242807,33266749,33502621,33548734,33554055,33568620,33795841,33824091,33854269,34105274,34145329,34465294,34512360,34549789,34607281,34744005,35305059,35388395,35443098,35742001,35780062,35790992,35806528,35830414,35906932,36026060,36093827,36334947,36562578,36636380,36734014,36813184,37060272,37065649,37113291,37186904,37373570,37541730,37575172,37582654,37604929,37978141,38452801,38557489,38568171,38574172,38772862,38826405,39051595,39230941,39236212,39305739,39435709,39512062,39537661,39708574,39904319,39942589,39973592,40002862,40044512,40229355,40264866,40266775,40282344,40296574,40455579,40540894,40590769,40687294,40736062,40743579,40979662,41284947,41414832,41516221,41549572,41692806,41764827,41835267,41992861,42191662,42228481,42466074,42648061,42694321,42721774,42865156,42911312,43231272,43291820,43335255,43441534,43443992,43604401,43963656,44019415,44092669,44180509,44273306,44804667,44830129,44848284,44970291,45043069,45050076,45059662,45085441,45317637,45380029,45408819,45463549,45767662,45808372,45917761,46224272,46255139,46282909,46483249,46591686,46815314,46861914,46892974,46899992,46995709,47319915,47647489,47685181,47823694,47909821,48058141,48081412,48095041,48131869,48147934,48275226,48320130,48610119,48635181,48639901,48721820,48840094,48853309,48874491,48959041,49373956,49459113,49757374,49781569,49848241,49894414,49970955,50339101,50441134,50474576,50554850,50813761,50906749,51028184,51132095,51151549,51165147,51242161,51284156,51361969,51465800,51527662,51538611,51541472,51562610,51572734,51829681,51950184,52002306,52176855,52604974,52647895,52762491,52823298,52892509,52918321,52969729,53051134,53272129,53296861,53302352,53419441,53467969,53498955,53682781,53822749,53951891,54117121,54161329,54203662,54270589,54420529,54441661,54525469,55105960,55135921,55154461,55187787,55227901,55264189,55388929,55510141,55563694,55611229,55655312,55693489,55741981,55821361,56048701,56131671,56216254,56246269,56257058,56313409,56417089,56454781,56504029,56575741,56754301,56764849,56783898,56885809,56904961,56978689,57006170,57039421,57065552,57072541,57127729,57142849,57179389,57265969,57347956,57350749,57365761,57389341,57398269,57406707,57411121,57415261,57449281,57501949,57504001,57523009,57530929,57899025,57984156,58152334,58363067,58443957,58466184,58535662,58775327,58899115,59113691,59293767,59835815,59965146,60014062,60040659,60045491,60181774,60328495,60531915,60665820,60808414,61016619,61301891,61358514,61514254,61707099,61758960,61875132,61994205,62256574,62356852,62612226,63161355,63177474,63247580,63484347,63493079,63524935,63766174,63968494,64198746,64331662,64492654,64567376,64710208,64934062,65174014,65279368,65349255,65771374,65774457,65876224,66078770,66127152,66483454,66660824,66758974,66812795,66876814,66879020,67112062,67372112,67530386,67541854,67930894,68361879,68407404,68627134,68819614,68882979,69050062,69088414,69279915,69478830,69582842,69602600,69700971,69705872,70018904,70035652,70678938,70688792,70760062,70882427,70910494,71201215,71247556,71358104,71472334,71476975,71549812,71658814,71802978,72215854,72394194,72454852,72474574,72638298,72798984,73045850,73209454,73263080,73355662,73362584,73439289,73635915,73802625,73842627,73898576,73901662,74110752,74119054,74227534,74341547,74344107,74393046,74467191,74945827,74993427,75161662,75452932,75793626,75897096,75972491,76229922,76261294,76366894,76691864,76752862,77074130,77102062,77138152,77399855,77534452,77546055,77622862,77830174,78302925,78345934,78419106,78434594,78544976,78688011,78722800,78771267,78824062,79129774,79225916,79294524,79366654,79524891,79773987,79838062,79871614,80013639,80175354,80235831,80254824,80277867,80837662,81023579,81134734,81167662,81362692,81528814,81855454,81898857,82276131,82420965,82439374,82532907,82715792,82727499,82772354,82825774,82986094,83135898,83374596,83375810,83523120,83559934,83619415,83965592,84041355,84119259,84410974,84448130,84504814,84563956,84623384,84816574,84878734,84905355,85384233,85441458,85537947,85772370,85879387,85925662,86254347,86278347,86362619,86780421,87103774,87163534,87248792,87427725,87443956,87574130,87609694,87655020,87728062,87800979,87915696,87993454,88052254,88140334,88316062,88363098,88563150,88697991,89091328,89444254,89615662,89644112,90011332,90041662,90069934,90286677,90509655,90565712,90743662,90910654,90989695,91411851,91427572,91476651,91490528,91689059,91875196,91961051,91992052,92279854,92387662,92488956,92522062,92548894,92879826,92922862,93055266,93089415,93256240,93498688,93948094,93963510,94421144,94461291,94464071,94467360,94720174,95201307,95204252,95235915,95446850,95477854,95776894,96221134,96471980,96543632,96757054,96829534,96950955,97664494,97688062,97947775,98154891,98222619,98260887,98295214,98809851,98905158,99092055,99295376,99404060,99465938,99521662,99876094,99888771,...,4227599698704454371581668173261834143132169955370622049031157374023127041550164233742630457748254030833319567809560145525959257005779380459829661814076284234442887849434003795681755141722229985241325662581472554978899461954205393336822138622102402436727124109977191542228141477080461130227921068293267405709543251666950840423247558312998108837856203169576889180716724229061620340563191399114073020602063888359158351308977671147548203452457412732724389462762525817436263513420745071924788523336923823100204022100460271961665375813521161445966212558204940621338925864795697199837068932555888789672083270549933650386905905782326922007577070484767404392583634104281925896920999057924783392554535156130174680679003693213943375290079121225010181914365998008071483348313338374220969832105377686410970901872550750370465099205582956535668670558889164041323107673602841614410436379757667424510023184162531320658242046481334473062392507303779313287390191209480925729638748362906545001157741246805737960023556440782343896556031425017886136049024950171339924006223314297365979453694215512986954297184313043971562896049485361682951324901052769662042961944633232238995398198078109304094522558016003792896200533408635334646784913116856347667085372220941427465203407776417948002388956911714530228057359113887585856720961947495516275503374655790265548195708494305380951608712241194615769210816637607383295644053239239873623376011541674863519869798910659294308796006016696029744450084287290271409905061768966135069398871660878923822233699136163853469030458631564056942925433351494165585914051228729980231497750256415022996218000843189274850683280983256436886814900546648255205120600912815164846963725791857021738247790320168782613266167500501110171214992391100238943190560472922481157972733485157672005759717600475920668530439652921950635717915875223930680255445349137433519628198427434257292628402372538997406556283513311165394582979237799597277986348865343962353268555037721494629582380669811362125758947478992835499420150518083677139634896032324447526373401989355303612961179904548943627701544241780174581559703787938301570487114555183738579027043516857741578671464146171965279173196348123249982216159561007893066075936246094822391442407473982778162921157797019319354270585029723067530598838290777196399444411338323310897381477355971960428204459374914226542210759374382541138179565188876299088685255729518131786652730052323223042}
15171   567985128133425322664776821494607059049101587037769505972394125: {318381,379025,454830,485152,545796,863493,1287665,1317093,1407741,1545198,1679541,1833029,2132061,2194865,2633838,2757118,2764581,3035301,3739333,3829661,3938740,4374593,4456565,4551421,4665892,4726488,4826789,4834581,4874758,5317299,5347878,5916221,6177741,6259445,6328102,6502030,6566854,6665560,6691438,6709265,6802701,6963940,7273201,7477678,7498755,7511334,7711501,7802436,7998672,8051118,8356728,8504945,8679454,8807381,8906269,8936493,8998506,9381220,9401319,9467781,9748228,9800549,10205934,10263093,10704093,10858981,10924582,11016430,11134515,11187665,11257464,11323972,11876816,12070493,12111261,12286372,12308494,12374421,12399220,12549741,12654532,12664647,12896254,13144261,13219716,13255375,13361418,13381108,13425198,13606001,13765301,13926040,14123301,14245901,14744465,14879064,14994141,15000454,15428661,15512830,15666795,15868741,15906450,15937534,16107896,16324181,16663342,16681798,16711248,16738947,16955765,16966880,17247093,17490469,17551960,17592261,17693358,17717381,17764701,17955089,18096676,18109293,18121383,18205181,18423220,18615396,18625461,18780958,18800154,18936250,18983461,18991921,19054941,19087740,19549252,19745955,20036465,20346918,20360256,20467928,21062352,21296254,21429220,21573075,21959493,22107864,22244134,22418788,22624573,22644952,22669630,22723500,22905288,22970878,23011280,23026419,23695146,23739621,23831140,23993061,24009781,24043758,24238400,24620741,24684838,24816181,24871347,24946852,25175101,25257021,25475571,25715064,25768449,25807013,25846001,25887690,26144945,26515581,26829940,26933901,27017493,27023115,27119230,27203556,27268200,27518541,27566854,27613536,28309445,28597368,28627534,28824656,28865893,28929447,29035654,29064941,29086080,29818612,30198315,30423220,30625144,30676725,30894965,30968158,31025152,31065228,31166493,31298734,31306621,31317118,31330712,31373934,31449869,31996036,32026840,32140174,32170375,32172039,32195928,32211536,32427738,32473155,32527534,32538541,32543076,32611445,32721840,32727381,32762321,32815540,32891181,33039665,33305093,33834022,33971334,34019761,34322165,34453287,34638032,34641694,34903296,34974593,34976893,34982872,35038948,35247051,35336661,35580021,35638360,35950375,35964430,36030195,36220419,36237978,36507864,36812070,36884389,36921508,37073958,37302065,37547398,37827363,38001741,38013493,38372295,38401318,38432208,38468199,38604450,38851793,38967786,39133734,39266208,39284493,39355731,39378648,39381220,39647598,39649333,40093155,40311934,40401861,40446238,40486078,40679761,40930448,40999621,41037493,41071347,41178080,41186598,41236990,41355861,41618356,41823598,41960775,41996614,42148221,42766032,42859293,43097021,43140450,43157316,43236234,43253493,43390741,43975174,44062469,44165254,44172868,44174484,44300979,44443633,44649661,44738740,44758160,44762478,44883665,44902581,45032575,45098788,45246221,45456411,45786094,45795475,45918141,45990989,46016480,46046754,46307661,46325340,46483630,46639558,46968965,47073412,47084901,47257464,47916341,48111786,48217715,48446596,48698398,48750104,49045265,49171461,49413696,49484388,49932358,49966990,50055640,50090993,50231861,50323101,50352930,50615134,50789749,50936302,51157911,51424228,51697941,51757541,51768540,51936965,52399493,52407652,52446901,53164647,53581445,53639140,53670093,53686488,53709792,53745621,53860398,53940772,54039090,54114775,54271438,54304990,54324772,54843867,54954570,55046596,55101021,55219776,55485358,55590408,55686436,55776934,55780356,56060355,56312595,56362758,56373981,56496454,56541221,56621432,57021214,57119447,57260465,57283141,57641696,57780340,57861258,58159293,58328221,58573678,58618208,58624990,58854318,58950598,59106181,59268093,59270341,59562861,59739556,59797712,59960388,60004293,60066768,60101765,60397299,60423516,60444861,60545092,60811341,60902275,60992638,61030941,61104093,61266541,61469493,61627373,61717445,61852693,62122248,62324358,62438341,62482552,62539209,62694301,63093220,63205109,63254173,63287493,63699111,63785230,63800581,64082661,64105195,64192261,64297734,64332250,64366968,64426840,64661254,64813492,64846908,64929973,64930801,64937730,65084993,65101949,65162301,65165988,65706101,65808718,65945484,66409959,66577661,66627940,67105381,67272426,67393534,67495883,67575114,67589493,67742981,67941269,68220196,68651493,68702734,68712558,68718148,68726854,68882450,69009502,69266912,69336408,69383974,69569140,69573761,69887529,70222971,70292871,70339461,70349988,70431064,70951438,71331940,71684945,71715941,71735541,72122118,72221901,72376318,72412839,72434389,72480195,72816133,72922261,73082730,73260141,73469893,73516621,73583716,74045461,74060934,74538629,74636061,74841621,74842228,75099473,75212302,75520493,75661701,75711864,75832275,76342693,76542276,76926234,77198700,77291493,77312208,77343915,77359101,77387518,77925276,77946065,77954912,78003459,78157678,78438598,78474941,78907461,79058356,79059475,79130494,79227269,79234947,79244998,79576701,79950613,79953528,80054212,80386001,80655601,80709220,80887760,81097181,81305493,81355492,81599210,81811352,82276132,82345280,82500176,82618501,82658940,82745134,82813589,83326030,83345541,83482968,83598775,83710021,83896109,84215140,84236632,84324381,84385587,84475678,84645796,85175847,85509255,85598328,86000381,86021934,86359774,86883454,86976234,87003250,87132340,87228501,87523630,87544565,87699276,87803493,87999838,88020701,88110958,88169536,88270861,88360990,88495181,88756294,88831921,88886854,89059445,89197630,89427901,89437265,89947719,90021093,90272661,90403534,90487558,90568565,90998730,91149172,91209872,91212621,91325069,91578850,91703230,91843972,92037771,92056373,92271381,92373220,92485918,92638440,92812698,92934628,93209269,93384861,93535278,93696133,93918339,94238584,94316165,94502734,94766211,94871370,95025982,95082118,95278918,95649261,95737304,95864830,95942429,95952741,96085421,96099493,96173981,96298119,96422690,96497493,96525592,96738981,96851064,96918065,97065312,97401093,97650589,97761021,97919052,98181220,98318101,98403500,98456836,98464198,98608727,98657061,98703341,98814336,99032395,99118155,99125476,99190728,99289588,99715654,99725181,99991236,...,6341399548056681557372502259892751214698254933055933073546736061034690562325246350613945686622381046249979351714340218288938885508669070689744492721114426351664331774151005693522632712583344977861988493872208832468349192931308090005233207933153603655090686164965787313342212215620691695341881602439901108564314877500426260634871337469497163256784304754365333771075086343592430510844787098671109530903095832538737526963466506721322305178686119099086584194143788726154395270131117607887182785005385734650306033150690407942498063720281742168949318837307410932008388797193545799755603398833833184508124905824900475580358858673490383011365605727151106588875451156422888845381498586887175088831802734195262021018505539820915062935118681837515272871548997012107225022470007561331454748158066529616456352808826125555697648808374434803503005838333746061984661510404262421615654569636501136765034776243796980987363069722001709593588760955668969931085286814221388594458122544359817501736611870208606940035334661173515844834047137526829204073537425257009886009334971446048969180541323269480431445776469565957344344074228042524426987351579154493064442916949848358493097297117163956141783837024005689344300800112953001970177369675284521500628058331412141197805111664626922003583435367571795342086038670831378785081442921243274413255061983685398322293562741458071427413068361791923653816224956411074943466079858859810435064017312512295279804698365988941463194009025044044616675126430935407114857592653449202604098307491318385733350548704245780203545687947346085414388150027241248378871076843094970347246625384622534494327001264783912276024921474884655330222350819972382807680901369222747270445588687785532607371685480253173919899251250751665256822488586650358414785840709383721736959100227736508008639576400713881002795659479382925953576873812835896020383168023706150279442297641151385938942603558808496109834425269966748091874468856699395916979523298015943529902832556582241944373571004717043188638421218489253249130225777125515709452344048486671289560102984032955419441769856823415441552316362670261872339555681907452355730671832775607868540565275286612368007196219257947918759794522184874973324239341511839599113904369142233587163611210974167244381736695528979031405877544584601295898257436165794599166617007484966346072216033957940642306689062371339813316139061573811707269347783314448633027883594277197679979095078484834563}
15172   570542284854038741105610369037678697558583636460503481476257698: {166771,348427,424508,606440,620371,682245,727728,818694,938618,1072171,1151324,1342387,1756124,1876988,2060264,2239388,2317797,2384378,2842748,2924162,3283298,3480787,3511784,3686108,3950757,4047068,4135677,4178618,4184371,4359547,4714082,4923425,5317867,5750587,5832365,5908110,5923171,6181507,6301984,6353371,6446108,6610627,6666362,6998838,7089732,7130504,7195778,7312137,7378507,8021817,8236988,8331950,8426042,8704925,9070268,9480907,9492153,9753045,9850281,9895987,9998340,10015112,10037157,10345058,10392214,10403248,10445910,10664896,10734824,10966771,11038562,11142304,11216517,11267001,11703654,11726525,11915324,11998008,12076677,12185285,12535092,12623708,12762242,12933818,13019181,13231747,13447682,13497759,13607912,13684124,14071830,14094409,14154965,14272124,14301242,14343067,14421907,14622342,14846020,15009952,15308901,15357965,15362371,15499025,15818165,15828578,16148348,16292467,16386873,16499228,16524645,16726385,16732988,16840322,16886196,16985958,17407550,17516467,17626288,17679482,17815224,17846882,17895187,17900264,17909437,18014138,18429558,18462741,18598830,18831068,18946027,18981798,19344381,19392067,19814333,19829574,19838752,19909171,19992188,20009978,20042127,20071662,20134870,20137797,20150009,20276371,20422747,20505698,20571548,20787427,20889060,21150307,21164642,21208600,21222667,21329018,21657338,21939950,21942307,22148738,22281664,22318596,22500681,22620845,22996124,23008267,23029025,23149171,23269245,23456348,23591144,23615162,23686268,23777378,23810501,23859675,23906301,24145724,24161844,24436565,24820528,24833948,24995013,25022697,25066872,25069922,25221574,25364467,25406588,25450320,25568371,25584910,26193338,26327940,26540037,26786525,26797001,27043867,27110107,27129224,27145014,27147008,27414373,27634830,27768547,27923094,28023485,28083136,28171437,28185094,28200231,28260962,28306190,28404375,28631610,28678267,28764100,28892258,29279324,29319427,29323878,29477152,29788925,29991482,30142171,30298000,30308278,30455371,30520377,30540384,30610013,30616442,30701892,31183565,31261267,31593528,31652828,31944381,31990748,31994371,32058344,32143830,32785658,33015187,33161796,33366201,33537425,33605947,33628182,33664627,33676028,33967428,34004445,34085250,34286752,34357932,34456317,34470242,34516920,34774658,34786169,35051347,35354108,35542719,35616907,35673067,35746710,35814142,35835578,35911868,35986562,36023324,36030820,36065637,36230707,36271408,36357600,36616771,36691388,36726427,36783461,36818048,37027257,37273265,37420278,38029025,38085218,38129824,38231371,38281430,38336707,38572596,38781440,38831535,39163390,39679867,39714362,39781171,39932587,39995045,40008698,40033550,40244910,40264420,40294694,40595642,40678845,40742018,40778371,40805334,40902300,41019425,41169187,41350281,41420304,41555324,41603347,41831912,41842027,42052922,42454171,42656341,42896052,42916771,42920378,42927904,42941301,43054147,43236307,43236984,43297540,43372171,43390768,43553481,43597171,43629120,43636508,43728590,43798685,43854908,44041771,44173747,44547950,44695171,44727918,44781067,44782082,45248347,45295112,45633122,45634830,45937716,46151885,46452237,46537728,46597842,46637587,46677187,46948101,46975677,46996068,47040002,47060901,47115548,47179898,47224027,47339371,47440028,47794267,47877218,47906371,47994054,48040260,48210261,48293892,48317304,48529387,48641607,48677152,48791301,48814614,48847418,48886147,49061827,49082760,49223310,49226525,49431944,49536098,49543753,49810562,49947578,50176171,50434507,50436484,50668988,50751033,50875507,50906467,50957001,50968171,51060187,51163060,51242944,51272371,51290932,51472600,51580538,51957048,51962541,52001371,52022945,52178312,52322998,52354944,52379324,52389242,52471387,52474308,52504864,52523522,52558422,52657658,52685371,52863464,52925498,53059589,53124787,53457540,53756587,53803171,53869148,53946645,53963947,54031771,54143371,54356967,54361171,54530227,54571771,54633547,54672233,54761796,54915464,55066771,55141148,55216085,55218105,55377667,55382262,55430371,55465147,55550827,55610937,55634707,55684171,55703042,55921771,55923425,55947700,55952227,56027107,56114587,56197628,56224898,56308627,56321097,56348371,56373485,56500867,56573227,56688067,56934307,57021376,57075427,57132602,57145724,57205171,57290347,57314107,57436507,57482371,57491227,57520600,57536371,57539827,57543088,57543427,57544147,57547387,57601977,57648312,57671324,57906675,58161338,58451679,58700601,58799618,58841765,58899312,59067972,59071830,59471397,59683304,59870108,60065378,60191162,60467901,60558245,60608548,60669357,60692858,60729117,60937630,61067618,61224188,61395672,61627181,61743548,61767120,61779897,61855485,62248934,62427534,62569550,62676602,62735397,62779868,62799362,62994921,63009952,64149048,64280285,64382138,64502882,64710675,64735974,64854351,65035421,65224322,65509565,65561948,65702402,65884928,65962761,65979184,66247881,66259302,66261726,66485614,66533498,67005242,67048925,67097468,67108110,67137240,67143717,67425965,67591682,67648182,67708538,67905965,68210548,68290658,68679141,68808245,68930588,69024720,69070131,69099578,69214562,69488010,69608045,69725445,69959337,70610118,70776790,70886196,70962853,71484002,71560124,71581984,71584933,71613056,71660828,71813864,72052120,72167679,72187654,72225425,72669894,73047597,73125156,73272760,73468028,73626368,73707053,74120544,74131298,74226582,74289473,74373808,74674445,74747140,74898537,74950485,75083460,75150344,75165308,75209858,75529395,75681365,75922701,75956282,76404453,76905602,77114978,77136342,77148344,77545724,77652810,78103190,78461882,78472424,78601721,78611478,78866525,78871418,79024124,79075322,79417148,79808638,79885178,79947184,80005724,80089024,80458710,80529732,80533550,80564688,80593148,80790597,80911158,81016865,81058635,81081788,81181538,81374588,81407157,81457485,81472124,81487158,81959324,82431855,82458761,82569894,82829664,83032442,83099144,83228037,83284925,83385612,83529654,83665401,83670534,83770141,83985722,84383324,84456962,84459893,84544137,84744681,84932148,85275245,85296122,85388642,85443548,85531821,85730312,85822624,85897685,86462544,86583640,86670510,86791887,86883068,86887984,86961425,87208802,87860517,87927312,87937485,88038830,88185338,88281477,88361018,88425897,88546612,88572341,88934909,89164925,89609334,89660258,89696568,89940582,90086138,90100152,90119324,90170882,90635274,90760058,90817638,90927098,91488957,91535324,91616744,91835522,91979645,92448544,92510278,92565818,92966498,93183372,93486537,93537913,93552785,93630628,93723828,93785948,93799984,93991418,94639830,95294978,95370362,95647388,95677845,95819642,96116282,96162824,96190082,96263738,96295868,96446601,96498375,96550452,96640260,96991881,97220238,97270362,97279802,97406595,97443640,97680188,97706618,97748982,97918082,98713077,98747912,98822945,98918226,99514748,99563138,99681701,99696482,99788828,99941910,...,8455199397408908743163336346523668286264339910741244098062314748046254083100328467485260915496508061666639135619120291051918514011558760919659323628152568468885775698868007591363510283444459970482651325162945109957798923908410786673644277244204804873454248219954383084456282954160922260455842136586534811419086503333901680846495116625996217675712406339153778361433448458123240681126382798228146041204127776718316702617955342295096406904914825465448778925525051634872527026841490143849577046673847646200408044200920543923330751627042322891932425116409881242677851729591394399674137865111777579344166541099867300773811811564653844015154140969534808785167268208563851793841998115849566785109070312260349361358007386427886750580158242450020363828731996016142966696626676748441939664210755372821941803745101500740930198411165913071337341117778328082646215347205683228820872759515334849020046368325062641316484092962668946124785014607558626574780382418961851459277496725813090002315482493611475920047112881564687793112062850035772272098049900342679848012446628594731958907388431025973908594368626087943125792098970723365902649802105539324085923889266464477990796396156218608189045116032007585792401066817270669293569826233712695334170744441882854930406815552835896004777913823429060456114718227775171713441923894991032551006749311580531096391416988610761903217424482389231538421633275214766591288106478479747246752023083349727039739597821318588617592012033392059488900168574580542819810123537932270138797743321757847644467398272327706938060917263128113885850866702988331171828102457459960462995500512830045992436001686378549701366561966512873773629801093296510410241201825630329693927451583714043476495580640337565226532335001002220342429984782200477886381120945844962315945466970315344011519435200951841337060879305843901271435831750447861360510890698274867039256396854868514585256804745077994813112567026622330789165958475599194555972697730687924706537110075442989259164761339622724251517894957985670998840301036167354279269792064648895052746803978710607225922359809097887255403088483560349163119407575876603140974229110367477158054087033715483157342928292343930558346392696246499964432319122015786132151872492189644782884814947965556325842315594038638708541170059446135061197676581554392798888822676646621794762954711943920856408918749828453084421518748765082276359130377752598177370511459036263573305460104646446084}
15173   573110862289423947421695782311804570958413467596711329332479349: {15173,530635,636762,758050,909660,970304,1091592,1228041,1407927,1439155,1726986,1802731,2166307,2195155,2346235,2575330,2634186,2799235,2815482,3072811,3090396,3359082,3553435,3576567,3666058,3830167,4264122,4375171,4386243,4389730,4525963,4607635,4889251,4924947,5058835,5159671,5267676,5514236,5529162,5704387,6070602,6239191,6267927,6612247,6819571,7071123,7478666,7659322,7877480,8057635,8749186,8763223,8862165,8913130,9102842,9331784,9392971,9452976,9653578,9669162,9749516,9999543,10085707,10132771,10296235,10408723,10498257,10634598,10695756,10793667,11337835,11582467,11786071,11832442,11906923,12355482,12497925,12518890,12639063,12656204,13004060,13107127,13133708,13331120,13382876,13418530,13490551,13605402,13927880,14546402,14756467,14894155,14940823,14955356,14997510,15022668,15206707,15423002,15517587,15588321,15604872,15662731,15668865,15779635,15997344,16102236,16209811,16268083,16557843,16713456,16732771,17009890,17105155,17358908,17555481,17614762,17812538,17840155,17872986,17997012,18048547,18557525,18718003,18762440,18802638,18830947,18935562,19143363,19193371,19400727,19496456,19601098,20171523,20185435,20248411,20346967,20411868,20478487,20526186,20624035,20642251,20916235,20938723,21107745,21268003,21408186,21451863,21659671,21717962,21849164,21933513,22032860,22269030,22375330,22514928,22647944,23194867,23242903,23538835,23738071,23742867,23753632,24140986,24222522,24572744,24606307,24616988,24748842,24798440,24990235,25099482,25260483,25309064,25314283,25329294,25367971,25478937,25714435,25792508,26111325,26288522,26357803,26439432,26510750,26519223,26681827,26722836,26762216,26770323,26850396,27021207,27212002,27530602,27586807,27644337,27852080,27898245,28051051,28246602,28472697,28491802,28745155,28886707,29294611,29320435,29488930,29501527,29577763,29607835,29744361,29758128,29988282,30000908,30014967,30107493,30182155,30202305,30482743,30758547,30829867,30857322,31025660,31035307,31042435,31333590,31737482,31746963,31758235,31779187,31812900,31875068,31993527,32215792,32486007,32648362,32909925,32913091,33223107,33326684,33363596,33422496,33477894,33583243,33911530,33933760,34360483,34494186,34701271,34980938,35103920,35184522,35386716,35422743,35434762,35485171,35529402,35666067,35910178,35955125,36193352,36218586,36242766,36251827,36410362,36461587,36599155,36602923,36645367,36846440,37168027,37230792,37250922,37546843,37561916,37600308,37604883,37832361,37872500,37966922,37983842,38109882,38175480,38263027,38377365,39089251,39098504,39232567,39290007,39491910,39566035,39633223,39988435,40072930,40693836,40717521,40720512,40935856,41452245,41531227,41884641,42095035,42124704,42277641,42391443,42459285,42592508,42858440,42947415,43146150,43252951,43338387,43842571,43918986,43985817,44065003,44192635,44215728,44390071,44488268,44837576,44889835,44987223,45029155,45038525,45249146,45289904,45339260,45447000,45462417,45656023,45810576,45864235,45924663,45941756,46022560,46052838,46227763,46255531,46318327,47095747,47305963,47390292,47479242,47662280,47922787,47986122,48019562,48051031,48087516,48215745,48476800,48756667,49178487,49241482,49256587,49369676,49632362,49742694,49893704,50330525,50350202,50442273,50514042,50599531,50805271,50932843,50951142,51127875,51430128,51536898,51614026,51646843,51692002,51705363,51775380,51944155,52073827,52161987,52222891,52289890,53031162,53453203,53620065,53659880,53721213,53753367,53867802,53979843,53999671,54034986,54046230,54121925,54175747,54238460,54352987,54407112,54536400,54545635,54818635,55037082,55133708,55227072,55307611,55984051,56130417,56618890,56628403,56867107,57034387,57127827,57194736,57255068,57422145,57549703,57611011,57649312,57731786,57858894,58071308,58129882,58172160,58745085,58894435,59110003,59300035,59571543,59637224,60013047,60050325,60367365,60396630,60442041,60846440,60893463,61113027,61168003,61208001,61250288,61353450,61630327,61789930,61936316,62050304,62130456,62243371,62263927,62315947,62332986,62597468,62613242,62634236,62661424,62747868,62837131,62899738,63045605,63079383,63336235,63953825,63992072,64053680,64113665,64280348,64340750,64344078,64380567,64391856,64423072,64855476,64946310,65055068,65077082,65086152,65222890,65443680,65454762,65474155,65524642,65592885,65631080,65756551,65782362,66079330,66373747,66394123,66610186,66821443,66821925,67091877,67173123,67336435,67504801,67668044,67942668,68039522,68078251,68265571,68430727,68449683,68452245,68644330,68663371,68906574,68926435,69276064,69283388,69806592,69839671,69896763,69934625,69949186,69953786,69965744,70065211,70077896,70247035,70494102,70560003,70673322,70769847,70901227,71097367,71160042,71276720,71432155,71815827,71900750,71928860,71991081,72060390,72089155,72440838,72475956,72498967,72667507,72711751,72742051,72967603,73015728,73221921,73271127,73606807,73624140,73768778,73834965,73843016,74147916,74304147,74410327,74604130,74696947,74715843,74837635,74862007,74921367,75014023,75094796,75654726,75760685,75771271,76003482,76026986,76530235,76744590,76802636,76864416,76932091,76936398,76938667,77179435,77208900,77364727,77370807,77703586,77912983,77935572,78267468,78474835,78484497,78532416,78568986,78583863,78711462,78757296,78762440,78785283,78837633,78979603,78986487,79295196,79298666,79388247,79734043,80164651,80186310,80278747,80294227,80623868,80803722,80892476,80972156,81359522,81860896,81952435,81977803,81999242,82042147,82074986,82142694,82356160,82373196,82473980,82711722,83073393,83236712,83554563,83647196,83680747,83871835,83921550,83993228,84142471,84218167,84296442,84337347,84755203,85138723,85263185,85392211,85532064,85698903,85718586,85942291,86163235,86194042,86280900,86314632,86404423,86472468,86506986,86781482,87009571,87242007,87707287,87950348,88091107,88124938,88199427,88330508,88345736,88348968,88524871,88601958,88607745,88887266,89299322,89450155,89462467,89477480,89516320,89524956,89546371,89576035,89747273,89767330,89805162,90051463,90065150,90098067,90197576,90286743,90306091,90492442,90912822,90988003,91039287,91337587,91406445,91531147,91572188,91590950,91601427,91646071,91835035,91836282,91981978,92032960,92093508,92493451,92615322,92650680,92740807,92967260,93279116,93373401,93433925,93632227,93641301,93739003,93854325,93937930,93956635,94014903,94146824,94169802,94199043,94514928,94867147,95832682,95842123,95955607,96098347,96223572,96262771,96435430,96573207,96754323,96769303,96893192,96932155,97103961,97396796,97500208,97654171,97836483,98090530,98103907,98342922,98553603,98780155,98827392,98968776,99023287,99060211,99149947,99271435,99388953,99392589,99608491,99728421,99800247,99864716,99933980,...,12682799096113363114745004519785502429396509866111866147093472122069381124650492701227891373244762092499958703428680436577877771017338141379488985442228852703328663548302011387045265425166689955723976987744417664936698385862616180010466415866307207310181372329931574626684424431241383390683763204879802217128629755000852521269742674938994326513568609508730667542150172687184861021689574197342219061806191665077475053926933013442644610357372238198173168388287577452308790540262235215774365570010771469300612066301380815884996127440563484337898637674614821864016777594387091599511206797667666369016249811649800951160717717346980766022731211454302213177750902312845777690762997173774350177663605468390524042037011079641830125870237363675030545743097994024214450044940015122662909496316133059232912705617652251111395297616748869607006011676667492123969323020808524843231309139273002273530069552487593961974726139444003419187177521911337939862170573628442777188916245088719635003473223740417213880070669322347031689668094275053658408147074850514019772018669942892097938361082646538960862891552939131914688688148456085048853974703158308986128885833899696716986194594234327912283567674048011378688601600225906003940354739350569043001256116662824282395610223329253844007166870735143590684172077341662757570162885842486548826510123967370796644587125482916142854826136723583847307632449912822149886932159717719620870128034625024590559609396731977882926388018050088089233350252861870814229715185306898405208196614982636771466701097408491560407091375894692170828776300054482496757742153686189940694493250769245068988654002529567824552049842949769310660444701639944765615361802738445494540891177375571065214743370960506347839798502501503330513644977173300716829571681418767443473918200455473016017279152801427762005591318958765851907153747625671792040766336047412300558884595282302771877885207117616992219668850539933496183748937713398791833959046596031887059805665113164483888747142009434086377276842436978506498260451554251031418904688096973342579120205968065910838883539713646830883104632725340523744679111363814904711461343665551215737081130550573224736014392438515895837519589044369749946648478683023679198227808738284467174327222421948334488763473391057958062811755089169202591796514872331589198333234014969932692144432067915881284613378124742679626632278123147623414538695566628897266055767188554395359958190156969669126}
15174   575690911038462957158163051907436657593967271973988692818060858: {197093,333542,560069,650633,696854,801413,849016,955143,1012169,1102373,1137075,1212880,1240742,1252553,1364490,1455456,1462469,1522373,1637388,1701893,1877236,2144342,2302648,2357669,2590479,2684774,2861753,3334073,3392969,3512248,3745673,3753976,3862995,3951279,4120528,4126469,4214153,4223223,4478776,4564169,4635594,4768756,4913033,5038623,5144969,5231813,5499087,5685496,5848324,6211013,6382853,6396183,6525833,6566596,6584595,6725669,6782693,6892795,6961574,7023568,7209353,7372216,7634213,7901514,7916453,8000969,8094136,8165311,8271354,8293743,8357236,8368742,8719094,8925893,8981669,9105903,9176633,9315653,9428164,9846850,10502969,10635734,10722233,10831673,11131973,11217999,11322569,11488983,11501174,11664730,11816220,11846342,11864969,12186895,12215813,12363014,12592133,12603968,12706742,12892216,13123779,13221254,13332724,13369695,13552613,13654263,13738169,13870469,13997676,14134469,14179464,14261008,14391556,14450213,14480367,14503743,14581433,14624274,14757014,15312569,15364553,15390533,15520313,15701669,15779273,15820255,15951897,16043634,16255075,16294793,16417135,16473976,16663900,16728595,16852084,17059399,17409850,17748663,17922953,17998469,18048773,18140536,18533223,18694195,18778335,18874169,18961814,18984306,19506090,19567673,19700562,19791974,19816951,19912073,19936613,19996680,20030224,20074314,20127795,20279333,20303753,20352569,20408103,20425733,20690116,20784428,20806496,20891820,21329792,21469648,21501151,21514553,21682469,21698635,21802169,21819603,21933542,21969413,22077124,22145431,22160069,22284608,22433034,22496265,22534002,22870469,23134503,23176073,23293253,23407308,23416939,23453050,23527013,23806469,23813647,23830648,23996016,24153354,24370570,24614969,24775493,24958469,25070184,25247416,25300169,25514835,25524484,25594853,25867636,26038362,26202569,26314469,26381513,26422143,26463494,26470793,26648969,26718807,26809479,26895364,26937413,26995518,27215824,27246533,27311455,27368248,27541075,27575993,27794633,27860069,27903653,28139683,28143660,28188818,28203957,28309930,28403343,28544248,28602484,28618169,28686134,28768613,28843814,29089673,29244684,29260169,29401647,29408933,29692040,29958053,30019904,30146873,30480953,30584933,30617802,30715930,30724742,30771235,30771593,30789279,30833669,30998050,31450469,31636330,31657156,31669183,31715513,31898213,32112279,32240635,32296696,32576943,32584934,32602553,32773746,32901413,32998456,33020453,33049290,33158969,33257669,33316793,33395513,33403545,33452770,33454469,33465976,33513353,33552569,33562995,33680644,33772392,33971916,34078853,34195013,34211191,34618469,34656773,34815100,35032934,35132873,35252576,35358964,35566469,35630448,35693764,35790374,35800528,35818874,36028276,36181193,36211479,36255113,36333783,36622793,36859116,36925482,37077893,37123263,37132169,37197660,37501135,37649223,37662136,37760069,37892054,37963596,37990793,37993941,38026169,38202569,38343113,38500613,38688762,38761673,38782075,38784134,38934713,39232879,39244169,39432783,39551033,39584969,39628666,39659148,39677504,39703493,39766125,39804773,39818342,39843835,39956153,39984376,40019956,40084254,40143324,40269740,40275594,40300018,40505669,40552742,40818003,40845494,40997669,41011396,41110927,41143096,41192453,41295903,41321669,41514533,41574854,41658355,41704495,41778120,41849273,42227513,42274469,42300614,42329284,42369903,42383753,42417200,42445334,42658036,42662969,42737703,43314676,43379813,43394873,43471363,43619813,43656991,43694393,43879900,43884614,44093669,44137673,44196233,44233395,44297476,44563328,44637192,44703173,44717513,44789093,44982423,45001362,45101669,45241690,45340553,45590969,45992248,46016534,46058050,46097573,46205669,46285983,46298342,46538490,46566713,46646153,46912696,46934969,46952395,47000069,47000385,47182288,47230324,47340625,47372536,47539013,47554756,47606223,47621002,47665253,47719350,47728073,47803193,47812602,47927753,48076169,48137669,48174473,48291448,48320969,48323688,48405893,48442169,48873130,48895433,48972543,49071173,49348613,49641056,49667896,49700153,49889669,49967033,49990026,50045394,50131493,50133744,50139844,50185913,50216841,50358713,50443148,50508233,50614073,50728934,50813176,50833733,50867295,50900640,50926793,50988473,51136742,51169820,51282533,51412169,51441893,51706169,51741279,52021253,52182571,52207973,52345913,52386676,52436873,52471407,52655880,52722569,52748933,52776783,52810169,52914233,52957253,53080074,53110469,53152143,53240635,53294103,53335433,53506373,53573050,53594002,53705273,53775653,53822213,53865267,53937353,54005573,54043193,54087734,54140069,54154853,54162233,54220214,54258448,54290028,54294016,54308153,54327879,54364149,54548873,54615543,54652133,54706469,54828746,54892613,55002569,55160069,55190969,55269660,55442633,55448453,55534793,55537094,55563173,55610335,55647113,55669193,55846188,55872569,55876383,55934393,55993063,56000069,56015033,56039813,56046970,56074169,56166272,56203013,56216969,56339333,56342874,56370188,56400462,56480969,56489273,56521924,56542469,56612380,56660069,56674075,56690213,56705093,56718871,56727173,56808750,56950383,56975763,57029669,57038393,57066953,57105593,57164823,57197753,57233093,57248969,57263220,57281669,57345413,57356534,57421193,57427195,57440069,57446969,57478469,57484169,57491813,57498053,57506873,57528200,57533669,57538853,57544073,57545669,57552569,57562553,57784516,58558648,58638854,58647756,58954304,59237865,59577850,59982964,60109395,60284342,60596000,60616556,60910742,61040754,61080768,61220026,61232884,61318159,61403784,61712095,62367130,62522534,62706787,63187056,63305656,63888762,63981496,63988742,64116688,64287660,64612639,64719225,65571316,65878479,66030374,66323592,66732402,67074850,67211894,67256364,67329254,67352056,67798075,67873719,67934856,68008890,68170500,68573504,68715864,68912634,68917135,68940484,69033840,69079257,69549316,69572338,70102694,70708216,71085438,71218863,71233814,71346134,71493420,71568835,71628284,71671156,71823736,71973124,71979183,72029343,72046648,72061640,72131274,72461414,72542816,72589135,72686647,72715200,72832123,73233542,73382776,73452854,73566922,73636096,73862223,74054514,74448543,74546530,74614041,74840556,75525303,75771063,76058050,76170436,76259648,76426713,76462742,76562860,76673414,76860043,77145192,77302519,77305347,77420395,77421039,77538003,77562880,77663070,78246835,78292795,78326780,78434835,78922879,79359734,79428724,79546743,79562342,79865174,79990090,80017396,80067100,80350435,80489820,80528840,80589388,80801703,81052479,81069345,81191284,81318835,81357690,81484036,81556742,81610668,81804600,82038850,82338374,82378471,82555623,82700562,82840608,83029411,83110648,83206694,83663824,83684054,84105844,84585055,84781543,84908342,84928335,85312682,85792104,85833542,85840756,85855808,85882602,86108294,86472614,86473968,86595080,86597679,86604235,86744342,86781536,86788341,87106962,87194342,87194823,87258240,87273016,87457180,87597370,87709816,88083542,88347494,89095900,89390342,89455836,89562134,89564164,89911075,89992399,90496694,90590224,90594945,91266244,91269660,91713391,91875432,92030175,92303770,92684895,92892943,92904474,93075456,93195684,93275174,93354374,93499479,93868495,93896202,93919863,93951354,93992136,94080004,94121802,94231096,94349607,94359796,94396351,94448054,94678742,94880056,95068351,95588534,95754436,95812742,95988108,96003295,96080520,96331543,96420522,96511125,96516117,96587784,96634608,97058774,97283214,97354304,97419465,97451263,97582602,97615623,97629228,97694836,97772294,97834335,98123654,98165520,98182143,98286963,98446620,98453050,98673543,98863888,99072196,99087506,99118995,99621124,99895156,99915279,...,19024198644170044672117506779678253644094764799167799220640208183104071686975739051841837059867143138749938055143020654866816656526007212069233478163343279054992995322453017080567898137750034933585965481616626497405047578793924270015699623799460810965272058494897361940026636646862075086025644807319703325692944632501278781904614012408491489770352914263096001313225259030777291532534361296013328592709287497616212580890399520163966915536058357297259752582431366178463185810393352823661548355016157203950918099452071223827494191160845226506847956511922232796025166391580637399266810196501499553524374717474701426741076576020471149034096817181453319766626353469268666536144495760661525266495408202585786063055516619462745188805356045512545818614646991036321675067410022683994364244474199588849369058426478376667092946425123304410509017515001238185953984531212787264846963708909503410295104328731390942962089209166005128780766282867006909793255860442664165783374367633079452505209835610625820820106003983520547534502141412580487612220612275771029658028004914338146907541623969808441294337329408697872033032222684127573280962054737463479193328750849545075479291891351491868425351511072017068032902400338859005910532109025853564501884174994236423593415334993880766010750306102715386026258116012494136355244328763729823239765185951056194966880688224374214282239205085375770961448674869233224830398239576579431305192051937536885839414095097966824389582027075132133850025379292806221344572777960347607812294922473955157200051646112737340610637063842038256243164450081723745136613230529284911041739876153867603482981003794351736828074764424653965990667052459917148423042704107668241811336766063356597822115056440759521759697753752254995770467465759951075244357522128151165210877300683209524025918729202141643008386978438148777860730621438507688061149504071118450838326892923454157816827810676425488329503275809900244275623406570098187750938569894047830589708497669746725833120713014151129565915263655467759747390677331376547128357032145460013868680308952098866258325309570470246324656949088010785617018667045722357067192015498326823605621695825859837104021588657773843756279383566554624919972718024535518797341713107426700761490833632922501733145210086586937094217632633753803887694772308497383797499851022454899038216648101873821926920067187114019439948417184721435121808043349943345899083650782831593039937285235454503689}
15175   578282481922418220610074953205802667366501935925154847579231147: {30346,500313,742889,1045281,1061270,1273524,1516100,1819320,1861113,1940608,2014817,2046735,2183184,2346545,2456082,2560181,2815854,2878310,3073217,3216513,3284729,3453972,3605462,3918929,4027161,4332614,4390310,4526561,4692470,4889897,4974809,5150660,5268372,5464457,5598470,5630964,5960945,6097793,6145622,6180792,6450689,6718164,6953391,7082369,7106870,7152233,7153134,7310405,7332116,7660334,8059493,8208245,8528244,8750342,8772486,8779460,9051926,9215270,9511109,9778502,9849894,10117670,10319342,10442361,10446545,10535352,10781273,11028472,11058324,11280689,11408774,11785205,11852271,11975093,12118073,12141204,12407031,12478382,12535854,12553113,13078641,13224494,13639142,13928993,14142246,14414729,14770275,14957332,15318644,15490241,15754960,15872969,15953601,16115270,16665905,17064113,17188649,17251761,17327729,17439461,17497095,17498372,17526446,17724330,17769513,17826260,17989445,18205684,18544521,18663568,18785942,18905952,19060113,19307156,19338324,19499032,19775093,19831881,19999086,20129633,20171414,20265542,20592470,20673269,20817446,20829875,20851817,20920121,20996514,21065105,21172673,21269196,21330101,21391512,21587334,21936411,22091489,22135521,22630577,22675670,23164934,23572142,23664884,23770121,23813846,23947217,24065451,24710964,24794513,24835589,24936593,24976217,24995850,25037780,25278126,25312408,25597793,25862645,25980535,26008120,26114775,26214254,26243249,26267416,26605433,26662240,26765752,26837060,26981102,27210804,27387641,27596405,27855760,28259609,28442721,28476459,28521953,28873649,29080181,29092804,29259135,29282729,29458721,29512934,29550843,29687961,29788310,29831153,29881646,29910712,29995020,30045336,30111471,30413414,30846004,31035174,31176642,31209744,31314929,31325462,31337730,31559270,31905605,31909541,31994688,32204472,32334545,32419622,32451929,32536166,32900313,32954369,33115686,33175673,33426912,33465542,33619205,33649551,33801003,34019780,34028789,34210310,34717816,34865441,34986329,35110962,35179575,35229524,35625076,35680310,35745972,35753105,35994024,36000209,36097094,36230031,36555855,37115050,37436006,37524880,37557221,37605276,37661894,37697573,37871124,38240201,38286726,38386742,38751953,38801454,38992912,39057543,39202196,39560873,39571445,39659897,39695241,40243217,40343046,40370870,40493277,40496822,40693934,40823736,40956974,41010593,41048609,41052372,41248070,41284502,41450969,41832470,41877446,42100805,42215490,42255017,42283227,42464895,42536006,42816372,42903726,43029201,43265721,43308161,43319342,43435924,43459409,43518875,43698328,43867026,44065720,44198705,44461529,44538060,44617205,44750660,45029856,45035345,45077573,45219941,45295888,45360689,45926703,45981233,46073895,46087113,46365761,46389734,46485806,46497075,47077670,47427089,47454495,47476142,47485734,47507264,47996561,48281972,48445044,48692213,48877401,49145488,49160619,49212614,49233976,49249121,49497684,49573935,49596880,49980470,50024945,50179155,50198964,50337175,50520966,50618128,50628566,50658588,50735942,50957874,51131993,51135041,51238817,51264245,51428870,51585016,52222650,52460993,52549401,52577044,52653593,52715606,52878864,52911605,53021500,53038446,53322545,53363654,53445672,53524432,53540646,53614889,53685561,53700792,53728311,54042414,54143345,54424004,54739841,54849875,54963689,55061204,55173614,55288674,55371845,55388223,55392449,55704160,55796490,55983809,56012213,56102102,56493204,56552417,56636021,56838081,56945394,56983604,57490310,57773414,58033143,58118597,58176201,58589222,58640870,58933049,58977860,59003054,59037905,59121929,59155526,59215670,59442999,59443445,59488722,59507729,59516256,59727513,59735489,59976564,60001816,60029934,60042593,60126381,60214986,60364310,60404610,60413391,60450027,60829113,60965486,60967793,61268241,61517094,61659734,61714644,61869689,62051320,62070614,62084870,62362281,62667180,62674805,62845769,63040817,63053935,63450921,63474964,63475913,63493926,63516470,63558374,63625800,63668001,63750136,63817793,63962275,63987054,64209929,64388777,64431584,64487489,64972014,65279633,65296724,65483345,65819850,65826182,65826921,66064121,66446214,66653368,66727192,66844992,66955788,67166486,67206581,67502043,67823060,67862535,67867520,68526329,68584409,68720966,68988372,69024801,69087075,69402542,69447513,69807735,69961876,70163753,70207840,70369044,70462735,70652405,70765475,70773432,70824641,70845486,70869524,70970342,71058804,71332134,71431503,71579025,71718903,71820356,71910250,72230645,72386704,72437172,72485532,72503654,72721817,72820724,72835841,72923174,73198310,73205846,73290734,73309695,73584641,73692880,74336054,74461584,74501844,74978705,74985039,75068091,75093686,75123832,75200616,75209766,75664722,75745000,75770695,75933844,75967684,76087457,76093401,76101953,76219764,76350960,76363889,76526054,76541105,76570841,76705113,76746089,76754730,77507369,77905673,78178502,78197008,78308177,78441701,78465134,78580014,78599441,78983820,79132070,79266446,79620111,79976870,80145860,80359575,80391003,80677493,81131601,81330321,81387672,81435042,81441024,81871712,81964145,82243119,82452209,82537793,82904490,83020049,83062454,83305641,83431529,83769282,84024161,84070455,84190070,84249408,84514311,84555282,84600693,84782886,84909509,84918570,85185016,85213125,85716880,85879781,85894830,86034801,86175605,86259137,86292300,86505902,86676774,86730101,86936645,87685142,87837972,87958281,87971634,88130006,88263847,88271321,88385270,88431456,88473281,88670729,88780142,88855589,88976536,89366775,89451833,89535355,89588945,89675152,89759131,89779670,89966405,89974446,90058310,90077050,90426513,90498292,90579808,90678520,90894000,90924834,91234001,91281329,91312046,91366113,91431041,91561131,91621152,91658633,91663817,91728470,91830039,91849326,91883512,92045120,92105676,92455526,92495093,92511062,92636654,92759753,93550695,93721097,93783801,94191494,94271009,94611926,94780584,94958484,95213045,95221097,95324560,95703575,95833143,95845574,95972244,95983113,95996081,96039124,96102062,96175032,96275993,96431490,96497009,96507041,96782321,96953600,96958901,97197089,97513334,97539461,97908475,98117393,98345849,98356974,98440241,98482964,98513174,98739352,99045561,99264724,99285905,99485388,99530561,99787408,...,25365598192226726229490009039571004858793019732223732294186944244138762249300985402455782746489524184999917406857360873155755542034676282758977970884457705406657327096604022774090530850333379911447953975488835329873396771725232360020932831732614414620362744659863149253368848862482766781367526409759604434257259510001705042539485349877988653027137219017461335084300345374369722043379148394684438123612383330154950107853866026885289220714744476396346336776575154904617581080524470431548731140021542938601224132602761631769992254881126968675797275349229643728033555188774183199022413595335332738032499623299601902321435434693961532045462422908604426355501804625691555381525994347548700355327210936781048084074022159283660251740474727350061091486195988048428900089880030245325818992632266118465825411235304502222790595233497739214012023353334984247938646041617049686462618278546004547060139104975187923949452278888006838374355043822675879724341147256885554377832490177439270006946447480834427760141338644694063379336188550107316816294149701028039544037339885784195876722165293077921725783105878263829377376296912170097707949406316617972257771667799393433972389188468655824567135348096022757377203200451812007880709478701138086002512233325648564791220446658507688014333741470287181368344154683325515140325771684973097653020247934741593289174250965832285709652273447167694615264899825644299773864319435439241740256069250049181119218793463955765852776036100176178466700505723741628459430370613796810416393229965273542933402194816983120814182751789384341657552600108964993515484307372379881388986501538490137977308005059135649104099685899538621320889403279889531230723605476890989081782354751142130429486741921012695679597005003006661027289954346601433659143362837534886947836400910946032034558305602855524011182637917531703814307495251343584081532672094824601117769190564605543755770414235233984439337701079866992367497875426797583667918093192063774119611330226328967777494284018868172754553684873957012996520903108502062837809376193946685158240411936131821677767079427293661766209265450681047489358222727629809422922687331102431474162261101146449472028784877031791675039178088739499893296957366047358396455617476568934348654444843896668977526946782115916125623510178338405183593029744663178396666468029939865384288864135831762569226756249485359253264556246295246829077391133257794532111534377108790719916380313939338252}
15176   580885625985902142782907203152922914267945921301125265514905410: {45519,394186,560143,667084,1120138,1301266,1393708,1552519,1591905,1602826,1698032,1895125,1910286,2024338,2204746,2274150,2425760,2447119,2481484,2505106,2728980,2891719,2910912,2924938,3044746,3274776,3403786,3422863,3684123,3754472,4223781,4288684,4317465,4564783,4605296,4715338,5174623,5180958,5369548,5408193,5608063,5723506,5867263,6039703,6438325,6469543,6498921,6585465,6668146,6785938,6812119,7024496,7038705,7491346,7507952,7663519,7725990,7902558,8002063,8241056,8252938,8397705,8428306,8446446,8927119,8957552,9010783,9128338,9165145,9218433,9271188,9344719,9537512,9649913,9760519,9826066,10077246,10289938,10463626,10504423,10660305,10668943,10729701,10915183,10974325,10998174,11078983,11324143,11370992,11490501,11696648,11893663,12217519,12422026,12620719,12765706,12792366,13051666,13125513,13133192,13158729,13169190,13451338,13565386,13577889,13785590,13822905,13923148,14047136,14418706,14609719,14667753,14744432,14774841,15080383,15176505,15268426,15392719,15479013,15803028,15832906,16001938,16188272,16330622,16542708,16587486,16714472,16737484,16937119,17061653,17113161,17438188,17851786,17963338,18001063,18076519,18211806,18353266,18631306,18696665,18717573,18803781,18856328,19148305,19693700,19836741,19865863,19939519,20306719,20379943,20458713,21005938,21035719,21108223,21213369,21271468,21444466,21469663,21663346,21829303,21872965,22148357,22263946,22282825,22435998,22472119,22645138,22757105,22897423,22977966,22983989,23002348,23329460,23420033,23600503,23632440,23692684,23729938,23810023,24133945,24172905,24373790,24431626,24726028,24847903,24985063,25184266,25207936,25413484,25784432,26171873,26247558,26273719,26289669,26340823,26442508,26541703,26586495,26665448,26675263,26739390,27105226,27272719,27308526,27476338,27602119,27740938,27929719,27995352,28143401,28178913,28268938,28358928,28522016,28579519,28783112,28900426,28960734,29007486,29162866,29248548,29285983,29477143,29514028,29581105,29998629,30109663,30257121,30378089,30398313,30423223,30625138,30729106,30781066,30888705,31040626,31044943,31136809,31226169,31297225,31403338,31414519,31494771,31558546,31640510,31903794,32085343,32087268,32266783,32381001,32510150,32589586,32627719,32834270,32947952,33255989,33282703,33327800,33457190,33546325,33577543,33704168,33870583,34013505,34118798,34335703,34624063,34681519,34747401,34819700,34967719,35358213,35478343,35497326,35720769,35845906,35996938,36097546,36281072,36366005,36701983,37066446,37138303,37246663,37388390,37493775,37556670,37748338,37917189,37923628,37968612,38050183,38236037,38472103,38557505,38785519,39012180,39135346,39302119,39321381,39401124,39557719,39583948,39633902,39824146,39873226,39993360,40060448,40148628,40255590,40313719,40471653,40512583,40558666,40607506,40705138,40816206,40851466,40857823,41344903,41380232,41537719,41568856,41612992,41783640,42109573,42250519,42524725,42531103,42659584,42716719,42762943,42939296,43002302,43029106,43079729,43175719,43364938,43397270,43402519,43582663,43604338,43639206,43806223,43867084,43895143,43938826,44036905,44116183,44154248,44269401,44290862,44320138,44531345,44569216,44682465,44725519,44822469,44866068,44897023,44992530,45068004,45109783,45136889,45362719,45613063,45620121,45740938,46227583,46269006,46352146,46552761,46586506,46588519,46764963,46814616,46833878,46906100,46988193,47006595,47021743,47054026,47338905,47560519,47612938,47627294,47661296,47711863,47992032,48101449,48122119,48158983,48306708,48342223,48585641,48629433,48741140,48804249,49002745,49022119,49229938,49369519,49550986,49673529,49916938,50140368,50198313,50368519,50400703,50494832,50528719,50600338,50874823,51029670,51048968,51189706,51272623,51315465,51422383,51716503,51735272,51918103,52003423,52076724,52405138,52501589,52555663,52628938,52666443,52763026,52820983,52844286,52926988,52941586,52950943,52976719,53129863,53297938,53330023,53437614,53452783,53477119,53520465,53618958,53790728,53874826,53991036,54145641,54151543,54173719,54294905,54305263,54431648,54476623,54493066,54518743,54581383,54622910,54736496,55082150,55151986,55190719,55264303,55282519,55460719,55547119,55589266,55672575,55720138,55779463,55781369,55807306,55938325,56012743,56101519,56154009,56159263,56279366,56287320,56325583,56377636,56407914,56456263,56492841,56494063,56506519,56555623,56619860,56673343,56805103,56806686,56846719,56992519,57080719,57088496,57113983,57192103,57204968,57228463,57236338,57372268,57393703,57430089,57437119,57458719,57493063,57499903,57537226,57548503,57561103,57565423,57567943,57571183,57575143,57577519,57580113,57687628,58179346,58202181,58321697,58386293,58489368,58520338,58803294,58817866,59384080,59916106,60039808,60293746,60352465,60514569,60556305,60745233,60961906,61040901,61169866,61235604,61431860,61435461,61449484,61542470,61543186,61578558,61667338,61872105,61926753,61996100,62748705,62816169,62900938,63272660,63314312,63323235,63338366,63431026,63796426,63804009,64224558,64355589,64481270,64593392,64979013,65153886,65169868,65205106,65547492,65721305,65733353,65800539,65802826,65996912,66040906,66098580,66276875,66317938,66515338,66633586,66791026,66807090,66905540,66908938,66931952,67026706,67031393,67105138,67125990,67361288,67544784,67943832,68030005,68157706,68390026,68422382,68826505,69236938,69313546,69584601,69630200,69728709,70065868,70265746,70505152,70616505,70717928,71132938,71214213,71228601,71229505,71260896,71387528,71580748,71601056,71637748,72056552,72362386,72422958,72510226,72667566,73245586,73718232,73722325,73818921,73850964,74108021,74155786,74246526,74264338,74395320,74536889,74970705,75002270,75298446,75324272,75520138,75781449,75784108,75927192,75942849,75981586,75987882,76052338,76103913,76405138,76436811,76686226,77001226,77143305,77377524,77523346,77564150,77568268,77854469,77869426,78333975,78465758,78488338,78865566,79073409,79102066,79169938,79257332,79318296,79343705,79355008,79406986,79532250,79557669,79609546,79636684,79687670,79912306,79968752,80039912,80045481,80168508,80286648,80310969,80398073,80539480,80551188,80600036,81011338,81063621,81105484,81620905,81636006,81690988,81995338,82022792,82221854,82286192,82384906,82591806,82643338,82760421,82933011,83029066,83149708,83316710,83408990,83556240,83694735,83698546,84153153,84455026,84548938,84601228,84658568,84739806,84767506,84778825,84834400,84890668,85316072,85325938,85418091,85475406,85902401,85913509,86235465,86396933,86629352,86660121,86759626,86789746,86942726,87239626,87313982,87388786,87452345,87759800,87769228,87883833,87961305,88187338,88275346,88392466,88466790,88504581,88586905,88594952,88733289,88823505,89126656,89233083,89274384,89406346,89435026,89578186,89775445,89964846,90002724,90044901,90203338,90322479,90483380,90546465,90606915,90681106,91025905,91181938,91448229,91984496,92033068,92116100,92195146,92275641,92411338,92489601,92571966,92596684,92797577,93076980,93105921,93127305,93133426,93292306,93825392,93869938,93904790,94000138,94000770,94364576,94460648,94681250,94745072,94917305,94959605,95078026,95109512,95212446,95240889,95242004,95274705,95330506,95337561,95438700,95456146,95606386,95625204,95855506,95980581,96152338,96275338,96348946,96483989,96582896,96641938,96647376,96811786,96842713,96884338,97458021,97746260,97790866,97945086,98142346,98697226,98729775,98739273,99282112,99335792,99400306,99669321,99779338,99934066,99980052,...,38048397288340089344235013559356507288189529598335598441280416366208143373951478103683674119734286277499876110286041309733633313052014424138466956326686558109985990644906034161135796275500069867171930963233252994810095157587848540031399247598921621930544116989794723880053273293724150172051289614639406651385889265002557563809228024816982979540705828526192002626450518061554583065068722592026657185418574995232425161780799040327933831072116714594519505164862732356926371620786705647323096710032314407901836198904142447654988382321690453013695913023844465592050332783161274798533620393002999107048749434949402853482153152040942298068193634362906639533252706938537333072288991521323050532990816405171572126111033238925490377610712091025091637229293982072643350134820045367988728488948399177698738116852956753334185892850246608821018035030002476371907969062425574529693927417819006820590208657462781885924178418332010257561532565734013819586511720885328331566748735266158905010419671221251641640212007967041095069004282825160975224441224551542059316056009828676293815083247939616882588674658817395744066064445368255146561924109474926958386657501699090150958583782702983736850703022144034136065804800677718011821064218051707129003768349988472847186830669987761532021500612205430772052516232024988272710488657527459646479530371902112389933761376448748428564478410170751541922897349738466449660796479153158862610384103875073771678828190195933648779164054150264267700050758585612442689145555920695215624589844947910314400103292225474681221274127684076512486328900163447490273226461058569822083479752307735206965962007588703473656149528849307931981334104919834296846085408215336483622673532126713195644230112881519043519395507504509991540934931519902150488715044256302330421754601366419048051837458404283286016773956876297555721461242877015376122299008142236901676653785846908315633655621352850976659006551619800488551246813140196375501877139788095661179416995339493451666241426028302259131830527310935519494781354662753094256714064290920027737360617904197732516650619140940492649313898176021571234037334091444714134384030996653647211243391651719674208043177315547687512558767133109249839945436049071037594683426214853401522981667265845003466290420173173874188435265267507607775389544616994767594999702044909798076433296203747643853840134374228038879896834369442870243616086699886691798167301565663186079874570470909007378}
15177   583500394497850796288288442806075215667287043240650772244622519: {60692,591279,833855,1000626,1485778,1680207,1742135,1951899,2090562,2122540,2404239,2547048,2832863,2865429,3032200,3036507,3101855,3285163,3307119,3411225,3638640,3722226,3757659,3881216,4029634,4093470,4366368,4387407,4567119,4693090,4828703,4912164,5105679,5120362,5360855,5465179,5631708,5756620,5918567,6146434,6433026,6569458,6711935,6907944,7073007,7210924,7459583,7771437,7837858,8004299,8054322,8345323,8452639,8585259,8665228,8780620,9053122,9384940,9779794,9804443,9949618,10002219,10178907,10234567,10301320,10536744,10630063,10928914,11196940,11237019,11261928,11491543,11588985,11853837,11921890,12195586,12291244,12361584,12379407,12642459,12669669,12901378,13436328,13611407,13692507,13770779,13906782,14164738,14213740,14304466,14306268,14321359,14620810,14625163,14664232,14739099,14760383,15115869,15146303,15320668,15434907,15695439,16118986,16330667,16416490,16497261,16499287,17056488,17403935,17500684,17544972,17558920,17962223,18103852,18408119,18430540,18633039,18710879,19022218,19148559,19188549,19210843,19557004,19577499,19699788,19753785,20166679,20177007,20235340,20348079,20582663,20638684,20678385,20884722,20893090,20921855,21070704,21273647,21562546,21628059,21797735,22056944,22116648,22561378,22817548,22902639,23332267,23570410,23704542,23749359,23950186,24002907,24236146,24282408,24495933,24612863,24617125,24630539,24814062,24881229,24956764,25071708,25106226,25185223,26157282,26448988,26589335,26777679,26945007,27278284,27317709,27381407,27529899,27757423,27857986,27903259,27946959,28284492,28752935,28829458,29161825,29470519,29491147,29540550,29615855,29914664,30637288,30907535,30980482,31043543,31508907,31509920,31745938,31766855,31907202,32166699,32230540,32437823,32495019,32775359,33053135,33318347,33331810,33395919,33653997,33967707,34110199,34128226,34377298,34466949,34503522,34655458,34878922,34968119,34994190,34996744,35052892,35254999,35448660,35539026,35594907,35652520,35978890,36207703,36269803,36372749,36411368,36471263,36560685,36647439,36892535,37089042,37302683,37327136,37365967,37556807,37571884,37776399,37811904,38120226,38614312,38634967,38676648,38998064,39371337,39536479,39550186,39663762,39998172,40109085,40259266,40342828,40531084,40657839,40962789,41184940,41214507,41346538,41611407,41634892,41659750,41703634,41840242,41993028,42130210,42345346,42403407,42538392,42660202,42783024,43174668,43350639,43441101,43511229,43524625,43744299,43872822,44023303,44080223,44182978,44271042,44667847,45261154,45268363,45351340,45937707,46093659,46171599,46329868,46560939,46753759,47066887,47105007,47144284,47276479,47318567,47329768,47337819,47404535,47460765,47540242,47627692,47855691,47894434,48130902,48604343,48765225,48884379,49251405,49421928,49479935,49589026,49671178,49873186,49952434,49991700,50054347,50075560,50185785,50556252,50624816,51178197,51195586,51225359,51725290,51961070,52016240,52229550,52428508,52486498,52534832,53210866,53245989,53324480,53531504,53608087,53674120,53768859,53962204,53995407,54146319,54421608,54775282,54833855,55192810,55400023,55599669,55711520,56082585,56335005,56519218,56622507,56644439,56885442,56952918,57043906,57049583,57518879,57747298,58160362,58185608,58518270,58565458,58632625,58703019,58917442,58941127,59025868,59101686,59375922,59450853,59576620,59662306,59736219,59763292,59809839,59821424,59922523,59990040,60090672,60222942,60383385,60428719,60620023,60826828,60837999,60911259,60926425,61057707,61224309,61277199,61692008,61878187,62070348,62280779,62353284,62419488,62464087,62629858,62650924,62675460,63049483,63118540,63811210,63819082,63989376,64408944,64503453,64543659,64669090,64839244,64903858,64956079,64957087,65047407,65072332,65095905,65406507,65458809,65800626,65908239,65908738,66158735,66231372,66351346,66436293,66480207,66572299,66604487,66853824,66931084,67238410,67299102,67488795,67602006,67770167,67968923,68039560,68057578,68096543,68420620,68611407,69403509,69435632,69528219,69730882,69879759,69972658,70034923,70221924,70250817,70359150,70459048,70472045,70546087,70581039,70596487,70774825,71076983,71250152,71360620,71419407,71440941,71491944,71506210,71715335,71745179,71769943,71988048,72000418,72109535,72194188,72460062,72687263,73111710,73844907,74052527,74076247,74230100,74326479,74651563,74872012,74875407,75049760,75114442,75210552,75323788,75395146,75508763,75709099,75742248,75800683,75900507,76212487,76480402,76544505,76573452,76653163,76773484,76784559,76789825,76811855,77495125,77503906,77520583,77602908,77704079,77985824,78115086,78404392,78607707,78943407,79090825,79121746,79142890,79144539,79266429,79319794,79390482,79412379,79559083,79755287,79946907,79988927,80100199,80156421,80428437,80486434,80686092,80741740,80812239,80986554,80993644,81387868,81462335,81647472,81739599,81913948,81934365,82021186,82064543,82097218,82104744,82496140,82569004,82623225,82653067,82727979,82846823,82901938,82920799,83220823,83383899,83580207,83631925,83664940,83710959,83754892,84201610,84419049,84430980,84510034,84566454,84611871,84929790,85072012,85161407,85210029,85415063,85632744,85807452,85854507,86058402,86305839,86531442,86616322,86625883,86638684,86871848,86918818,87036247,87037750,87269019,87381887,87396656,87582335,87734052,87744727,87780507,88056167,88131440,88204941,88226799,88275509,88397410,88923058,89076120,89234410,89475935,89486303,89501320,89547185,89874159,90059712,90070690,90075659,90155146,90439882,90440619,90591776,90721378,91442859,91676683,91754799,91853406,91962466,92147790,92174226,92208043,92313705,92314779,92367837,92501007,92731522,92779468,92971612,92994150,93247003,94155340,94326679,94351407,94730135,94854178,94892423,94898863,94908990,94952284,94971468,95007549,95014528,95146539,95694639,95993122,96336837,96563944,96721905,96890088,96960335,97284619,97384426,97569487,97680623,97730829,97754802,97807659,98290976,98321238,98425228,98467952,98498242,98647829,98704239,98744063,98913367,98995368,99061359,99071665,99147870,99193760,99476907,99545855,99773007,99950379,99960940,...,57072595932510134016352520339034760932284294397503397661920624549312215060927217155525511179601429416249814165429061964600449969578021636207700434490029837164978985967359051241703694413250104800757896444849879492215142736381772810047098871398382432895816175484692085820079909940586225258076934421959109977078833897503836345713842037225474469311058742789288003939675777092331874597603083888039985778127862492848637742671198560491900746608175071891779257747294098535389557431180058470984645065048471611852754298356213671482482573482535679520543869535766698388075499174741912197800430589504498660573124152424104280223229728061413447102290451544359959299879060407805999608433487281984575799486224607757358189166549858388235566416068136537637455843940973108965025202230068051983092733422598766548107175279435130001278839275369913231527052545003714557861953593638361794540891126728510230885312986194172828886267627498015386342298848601020729379767581327992497350123102899238357515629506831877462460318011950561642603506424237741462836661836827313088974084014743014440722624871909425323883011988226093616099096668052382719842886164212390437579986252548635226437875674054475605276054533216051204098707201016577017731596327077560693505652524982709270780246004981642298032250918308146158078774348037482409065732986291189469719295557853168584900642064673122642846717615256127312884346024607699674491194718729738293915576155812610657518242285293900473168746081225396401550076137878418664033718333881042823436884767421865471600154938338212021831911191526114768729493350245171235409839691587854733125219628461602810448943011383055210484224293273961897972001157379751445269128112323004725434010298190069793466345169322278565279093261256764987311402397279853225733072566384453495632631902049628572077756187606424929025160935314446333582191864315523064183448512213355352514980678770362473450483432029276464988509827429700732826870219710294563252815709682143491769125493009240177499362139042453388697745790966403279242172031994129641385071096436380041606040926856296598774975928711410738973970847264032356851056001137167071201576046494980470816865087477579511312064765973321531268838150699663874759918154073606556392025139322280102284472500898767505199435630259760811282652897901261411663084316925492151392499553067364697114649944305621465780760201561342058319845251554164305365424130049830037697250952348494779119811855706363511067}
15178   586126838952501845162784161611521705768718328913588006692548618: {75865,91038,257737,439321,620617,711157,788372,1072597,1120286,1334168,1500939,1522777,2228667,2240276,2602532,2653175,2787416,3105038,3135843,3183810,3205652,3393877,3396064,3570421,3790250,3820572,4048676,4186057,4409492,4548300,4623637,4851520,4894238,4962968,5010212,5146357,5457960,5583339,5783438,5821824,5849876,6044451,6089492,6140205,6184021,6355957,6549552,6784537,6807572,6845726,7039635,7040821,7195775,7368246,7466521,7508944,7636297,7680543,8143897,8447562,8564917,8577368,8634930,8984137,9013655,9129566,9210592,9219651,9318217,9430676,9568021,9649539,9854187,10349246,10361916,10739096,10816386,10831535,10975775,11216126,11447012,11624521,11731175,11734526,11756787,12079406,12081483,12273097,12831203,12876650,12939086,12997842,13170930,13237321,13336292,13571876,13579683,13624238,13794997,13996175,14048992,14077410,14428021,14669691,14924427,14982692,15015904,15327038,15364055,15368917,15446857,15451980,15805116,16004126,16393371,16482112,16505876,16530457,16795410,16856612,16892892,17751577,17767175,17854238,17882835,17915104,18021566,18053977,18256676,18280021,18293379,18330290,18436866,18542376,18689438,19075024,19150835,19299826,19352067,19521038,19622677,19652132,20154492,20285257,20358517,20504821,20579876,20860173,20927252,21008846,21232021,21247107,21320610,21337886,21456699,21459402,21736777,21830366,21875855,21931215,21948650,21996348,22157966,22629815,22648286,22741984,22981002,23018521,23038175,23159497,23393296,23787326,24178479,24207637,24435038,24446255,24622357,24624735,24844052,25241438,25294175,25531412,25584732,25783321,25798355,26103332,26175331,26251026,26266384,26317458,26338380,26657077,26807627,26902676,27122521,27130772,27155778,27571180,27645810,27781321,27846296,27912217,28094272,28521935,28533327,28837412,28949017,29219438,29269237,29335506,29488864,29549682,30160766,30219097,30353010,30536852,30622151,30785438,30958026,31140923,31195955,31327083,31339635,31606056,31665812,31859947,32003876,32009557,32343819,32376544,32661244,32792521,33061235,33085416,33174972,33260383,33428944,33474968,33563317,33680821,33787523,33842067,33874238,34089817,34097855,34123306,34226322,34437577,34667977,34799963,34876376,35355615,35556813,35578057,35690521,35703572,35858677,35925279,35926676,35970421,36002126,36153038,36354219,36423612,36706532,36798047,37221093,37262612,37393330,37435146,37607562,37659339,37712656,37772617,38038837,38250517,38296610,38408521,38774677,39235923,39387400,39598357,39673482,39731726,39801397,39879038,39952921,40288175,40552537,40613438,40759886,40917426,41335897,41413547,41528857,41786979,42011876,42071438,42148021,42216446,42426738,42542936,42888932,42939326,42985237,43076821,43244187,43326692,43658606,43745930,43816115,44109337,44296714,44310825,44527892,44565650,44719177,44762197,44848021,44871996,44944238,45290276,45356917,45514210,45794846,45955932,45967978,46004696,46303321,46383817,46470723,46658920,46702921,46840066,46964855,47201006,47264880,47385368,47404057,47459876,47618907,47620046,47860803,48267890,48339157,48345810,48747580,48863252,48949321,49124821,49194517,49367497,49452056,49538677,49695806,49741717,49765859,49970126,49997715,50237977,50302921,50368532,50415872,50428535,50464021,50527957,50663855,50718037,50826968,50912407,50936521,51090421,51192339,51332917,51392821,51481175,51565947,51568864,51746197,51755283,51983187,52043615,52061017,52318383,52343746,52491285,52495116,52547438,52579338,52681646,52744117,52885016,53083406,53172990,53233177,53308539,53330896,53350526,53478780,53600917,53760443,53790421,53860297,53968335,53980507,54066037,54088537,54177817,54210452,54395977,54417397,54545438,54617052,54627637,54730057,54870421,54952676,55204238,55481876,55633563,55859438,55959637,55974937,55990704,56005321,56080021,56286802,56357826,56515477,56537876,56552521,56576857,56689175,56717856,56847167,56956117,57044032,57159038,57180339,57180757,57196021,57362521,57463321,57535321,57566224,57573877,57582517,57589321,57592921,57800852,57912335,57921468,58014972,58325732,58497096,58571966,58930355,58954286,59028056,59162210,59325279,59495643,59534615,59997258,60219326,60388899,60514242,60756178,60796626,60846446,61250276,61458212,61562132,61651667,61777410,62019807,62081252,62089886,62273618,62343883,62452338,62489625,62555451,62594450,62760363,62806676,62829038,62989542,63117092,63195315,63281020,63518019,63807588,63990303,64170686,64174536,64533566,64762002,65020300,65179172,65255438,65535635,65668540,65809233,65895904,66274467,66406563,66511978,66565406,66655600,66914380,67092650,67155086,67408336,67452755,67741166,67891731,68027010,68237596,68603843,68671406,69248126,69363038,69494802,69639400,69935438,70716426,70956686,70994652,71310363,71441538,71691812,71841651,71993876,72195092,72196353,72562144,72732010,73403966,73782335,74132892,74276606,74383539,74470775,74493326,74506767,74704115,74776780,74809779,74928651,74987550,75113340,75496676,75834378,75847256,75937224,76012867,76033535,76100366,76472074,76793379,76944206,77115010,77571038,77587935,77941605,78024360,78270692,78313655,78344325,78604238,78642762,78729747,78802248,78898175,79115438,79167896,79218919,79267804,79648292,79746452,79816299,79986720,80120896,80297256,80511180,80627438,80943306,81025166,81049055,81117332,81215012,81340415,81410276,81632412,81702932,81715646,82001183,82162923,82689806,82760464,82789215,83075438,83137712,83225984,83567280,83663855,84219146,84493451,84501038,84778827,85049450,85062206,85319168,85328163,85429377,85433438,85525775,85525886,85565859,85878592,86004604,86058212,86159458,86351438,86620947,86729876,86794540,86805038,87165326,87208676,87240543,87278412,87612446,87734168,87777405,87790286,87848187,87877652,87989099,88073810,88232366,88308496,88376163,88538802,88581724,88640276,88652529,89062690,89063883,89138432,89200775,89364930,89451038,89493459,89644938,89732136,89794046,89985060,90136008,90219566,90242735,90273778,90334413,90725438,91226126,91240242,91481876,92009827,92455166,92538012,92704292,92787625,93105522,93173012,93177038,93529926,93590015,93629232,93667756,93812200,93944787,93976386,94013190,94043486,94108052,94154735,94677810,95121038,95225876,95242007,95254588,95322592,95423726,95716815,95728623,95966855,95984064,96202898,96244238,96317966,96357107,96613416,96684446,97003635,97171282,97258866,97355787,97482280,97608498,98005490,98044238,98459876,98700939,98739038,98863107,99101972,99347058,99527019,99721307,99833876,...,76096794576680178688470027118713014576379059196671196882560832732416286747902956207367348239468572554999752220572082619467266626104028848276933912653373116219971981289812068322271592551000139734343861926466505989620190315175697080062798495197843243861088233979589447760106546587448300344102579229278813302771778530005115127618456049633965959081411657052384005252901036123109166130137445184053314370837149990464850323561598080655867662144233429189039010329725464713852743241573411294646193420064628815803672397808284895309976764643380906027391826047688931184100665566322549597067240786005998214097498869898805706964306304081884596136387268725813279066505413877074666144577983042646101065981632810343144252222066477850980755221424182050183274458587964145286700269640090735977456977896798355397476233705913506668371785700493217642036070060004952743815938124851149059387854835638013641180417314925563771848356836664020515123065131468027639173023441770656663133497470532317810020839342442503283280424015934082190138008565650321950448882449103084118632112019657352587630166495879233765177349317634791488132128890736510293123848218949853916773315003398180301917167565405967473701406044288068272131609601355436023642128436103414258007536699976945694373661339975523064043001224410861544105032464049976545420977315054919292959060743804224779867522752897496857128956820341503083845794699476932899321592958306317725220768207750147543357656380391867297558328108300528535400101517171224885378291111841390431249179689895820628800206584450949362442548255368153024972657800326894980546452922117139644166959504615470413931924015177406947312299057698615863962668209839668593692170816430672967245347064253426391288460225763038087038791015009019983081869863039804300977430088512604660843509202732838096103674916808566572033547913752595111442922485754030752244598016284473803353307571693816631267311242705701953318013103239600977102493626280392751003754279576191322358833990678986903332482852056604518263661054621871038989562709325506188513428128581840055474721235808395465033301238281880985298627796352043142468074668182889428268768061993307294422486783303439348416086354631095375025117534266218499679890872098142075189366852429706803045963334531690006932580840346347748376870530535015215550779089233989535189999404089819596152866592407495287707680268748456077759793668738885740487232173399773383596334603131326372159749140941818014756}
15179   588765011070376697674056417176449123944679695171647342088385973: {121384,136557,985465,1167397,1182558,1667710,1680429,2001252,2438989,2800345,2971556,3166141,3253165,3347929,3360414,3484270,3903798,4007065,4181124,4245080,4342597,4657557,4775715,4808478,4829341,5060845,5094096,5161717,5511865,5665726,5685375,5706649,5730858,5919349,6064400,6073014,6158317,6203710,6262765,6570326,6614238,6614869,6822450,7277280,7312345,7341357,7444452,7505197,7515318,7611865,7762432,7817557,7974037,8059268,8186940,8337181,8509465,8675157,8732736,8774814,9134238,9386180,9396709,9657406,9824328,10136797,10211358,10240724,10268589,10539337,10721710,10930358,11052369,11129437,11263416,11513240,11587069,11788345,11837134,12292868,12671343,12716761,12866052,12952395,13138916,13423870,13694349,13815888,14146014,14308765,14421848,14919166,15212749,15523869,15542874,15659737,15675716,16008598,16108644,16224579,16274557,16670365,16690646,16824189,16905278,16928221,16964845,17170518,17330456,17444089,17561240,17601789,17726797,18106244,18119109,18214837,18728365,18769880,18838429,19200997,19314975,19408629,19496763,19559588,19608886,19756395,19899236,20004438,20256469,20357814,20436357,20469134,20602640,20632345,21070765,21073488,21116115,21260126,21857828,22002157,22112857,22393880,22474038,22523856,22651717,22805449,22820845,22908217,22983086,22990557,23177970,23707674,23776429,23843780,24006189,24365509,24391172,24565165,24582488,24723168,24758814,24943237,25193115,25284918,25324357,25339338,25724845,25802756,25820701,25859737,26159065,26781357,26872656,27032349,27222814,27385014,27394909,27495435,27541558,27655299,27813564,27893209,28034157,28329476,28427480,28608932,28612536,28642718,28774357,28949739,29080357,29087929,29241620,29250326,29281557,29290597,29306269,29328464,29478198,29520766,30231738,30292606,30516829,30602749,30641336,30869814,31055065,31390878,31513269,31914265,31918009,31980915,32006829,32189103,32237972,32629165,32661334,32745549,32767141,32832980,32922975,32926189,32994522,32998574,33184477,33236949,33474037,33628345,33913465,33972429,34112976,34374157,34463975,34471503,34715197,34807870,35001368,35089944,35117840,35660557,35680989,35924446,36046765,36207704,36652557,36816238,36861080,37225069,37266078,37421758,37631341,37707577,37862157,38027929,38044436,38171065,38250349,38297118,38335609,38377098,38421686,38872441,39114008,39154998,39248341,39376539,39399576,39476187,39507570,39582265,40004845,40254109,40333358,40354014,40470680,40696158,40733667,40826555,41165326,41277368,41356770,41462197,41468715,41769444,41786180,41797429,41843710,42141408,42340057,42344089,42547294,43125092,43256118,43270549,43595470,43829157,44003259,44084989,44113888,44233296,44324523,44407957,44473597,44629465,44908345,45122756,45241149,45372877,45529515,45593269,45635096,45805278,45883165,46015717,46178157,46274389,46437039,46578265,46664534,47140820,47409084,47498718,47900372,48005814,48009349,48472292,48564816,48991866,49113289,49225726,49234250,49261078,49569529,49628124,49762458,49913528,50143416,50212452,50258557,50370446,50811357,51184959,51339483,51649549,51785437,52094809,52314564,52427341,52514845,52897976,53178670,53555358,53611165,53629237,53724157,53890014,54003189,54158365,54229557,54322501,54556568,54635418,54762814,54978517,55059798,55514846,55659865,55715972,55806518,55891789,55893918,56089995,56152719,56411343,56568984,56571757,56612845,56633749,57444915,57505870,57658916,58240057,58323650,58941038,58982294,59081100,59133769,59231710,59324845,59504509,59510223,59597589,59617357,59646649,59818557,59829328,60632149,60920157,60934475,60984037,61079065,61139829,61274576,61376139,61815070,61960964,62087086,62960665,63017814,63019840,63107157,63239341,63324669,63491876,63533710,63640107,63814404,64333398,64408989,64461080,64504957,64875646,64990038,65137237,65487909,65550718,65618895,65940997,66106270,66366349,66400741,66445071,66636694,66663620,66791838,66848475,67307994,67416357,67763065,67935414,67976857,68220398,68256452,68271315,68293357,68458189,68602837,68690845,68692269,68754596,68933898,68951967,69007044,69271909,69310916,69352345,69757844,69868117,69936238,69988380,69993488,70105784,70260099,70509998,70672345,70801509,70897320,71078052,71189814,71305040,71352157,71430069,71582869,71957780,72251065,72401835,72415406,72518715,72539606,72562669,72745498,72822736,72907165,72942526,73121370,73294878,73604557,73785070,74062489,74178084,74440309,74543709,74605366,74654272,74731934,74955189,75113614,75143768,75552798,75623808,76107901,76240452,76562845,76767397,76822765,76952665,77228624,77269934,77353296,77601565,77944309,77996128,78508345,78515619,78517237,78572281,78742674,78821157,78869007,78896365,78927781,79022469,79072958,79100372,79101275,79327524,79438981,79625109,79759485,79972357,79996344,80025789,80218170,80326909,80518141,80518532,80685656,81062168,81275375,81315678,81473965,81818157,81925578,82085675,82369880,82429014,82693076,82764589,82806357,83062981,83222814,83269784,83319500,83407268,83454037,83642975,83680484,83714329,83789157,83986056,84260420,84430203,84536739,84690692,84789757,84806814,85076784,85296995,85320404,85566048,85738557,85903129,86282221,86349336,86701278,86753209,86882202,87022458,87045277,87049250,87488598,87745644,87857949,87885529,87974557,88046606,88160446,88365956,88431429,88542084,88560397,88743315,89237629,89335694,89399389,89614765,89912857,89992345,89995887,90243865,90328989,90522308,90536726,90702680,90771363,91134267,91194939,91258309,91269669,91305757,91411741,91875414,92105869,92187318,92343198,92519737,92609077,92622229,92659736,92666115,93121878,93134829,93410427,93470975,93507518,93678507,93891675,94133774,94210014,94243557,94288568,94370845,94484313,94552958,94637134,94659536,94675638,94777069,94794109,94809070,94921530,95080484,95246869,95255384,95711382,95788868,95816569,96226069,96256029,96261804,96800349,96985369,97143003,97208686,97223797,97530450,97565449,97662109,97768758,97838365,97883157,98238109,98466469,98502810,98660863,98757637,98843856,98959870,99064141,99084755,99178052,99342356,99560365,99683065,99746372,99767967,99848109,99904868,99983400,...,114145191865020268032705040678069521864568588795006795323841249098624430121854434311051022359202858832499628330858123929200899939156043272415400868980059674329957971934718102483407388826500209601515792889699758984430285472763545620094197742796764865791632350969384171640159819881172450516153868843918219954157667795007672691427684074450948938622117485578576007879351554184663749195206167776079971556255724985697275485342397120983801493216350143783558515494588197070779114862360116941969290130096943223705508596712427342964965146965071359041087739071533396776150998349483824395600861179008997321146248304848208560446459456122826894204580903088719918599758120815611999216866974563969151598972449215514716378333099716776471132832136273075274911687881946217930050404460136103966185466845197533096214350558870260002557678550739826463054105090007429115723907187276723589081782253457020461770625972388345657772535254996030772684597697202041458759535162655984994700246205798476715031259013663754924920636023901123285207012848475482925673323673654626177948168029486028881445249743818850647766023976452187232198193336104765439685772328424780875159972505097270452875751348108951210552109066432102408197414402033154035463192654155121387011305049965418541560492009963284596064501836616292316157548696074964818131465972582378939438591115706337169801284129346245285693435230512254625768692049215399348982389437459476587831152311625221315036484570587800946337492162450792803100152275756837328067436667762085646873769534843730943200309876676424043663822383052229537458986700490342470819679383175709466250439256923205620897886022766110420968448586547923795944002314759502890538256224646009450868020596380139586932690338644557130558186522513529974622804794559706451466145132768906991265263804099257144155512375212849858050321870628892667164383728631046128366897024426710705029961357540724946900966864058552929977019654859401465653740439420589126505631419364286983538250986018480354998724278084906777395491581932806558484344063988259282770142192872760083212081853712593197549951857422821477947941694528064713702112002274334142403152092989960941633730174955159022624129531946643062537676301399327749519836308147213112784050278644560204568945001797535010398871260519521622565305795802522823326168633850984302784999106134729394229299888611242931561520403122684116639690503108328610730848260099660075394501904696989558239623711412727022134}
15180   591414962799266906255602073758888541057026432570280659416349683: {106211,151730,182076,288059,469619,515474,620699,650891,878642,892139,1102811,1192979,1241234,1343099,1422314,1463051,1552931,1576744,1612811,1773837,1911731,2145194,2239619,2240572,2447771,2501565,2507171,2668336,2951651,3001878,3045554,3158459,3335411,3423779,3482651,3600299,3714445,3747179,3835211,4215851,4361891,4457334,4480552,4624259,4653371,5002091,5040621,5176019,5205064,5226405,5233931,5306350,5320739,5436371,5574832,5667251,5855697,5868851,5926379,6041339,6210076,6213539,6271686,6367620,6385451,6411304,6471299,6528491,6614219,6728411,6787754,6792128,6813971,6870971,7140842,7212717,7580500,7641144,7665611,7919699,8004251,8097352,8372114,8498589,8566091,8596287,8818984,8985371,9013259,9096600,9109521,9180419,9247274,9305565,9347291,9402851,9597059,9703040,9788476,9818531,9855489,9921357,9925936,10011899,10020424,10074085,10149779,10233675,10292714,10397459,10589651,10726691,10915920,10918211,10972859,11082059,11136611,11166678,11272977,11566876,11643648,11653259,11699752,11732725,12032099,12088902,12178984,12220931,12274811,12280410,12301739,12368042,12543731,12619117,12677891,12711914,12800905,13099104,13162221,13239179,13345691,13569074,13615144,13691452,13701357,13955651,14079270,14081642,14391550,14456339,14486109,14587619,14736492,14933042,15017888,15164149,15272594,15317037,15361086,15366085,15397091,15449051,15604739,15786011,15863579,16082565,16147379,16287794,16395537,16404539,16423645,16532819,16895124,16941971,16992971,17129834,17154736,17269860,17399819,17526539,17754131,17755701,17779379,17968274,18006251,18027310,18056579,18081731,18132011,18259132,18307739,18421184,18439302,18636434,18861352,18957011,19056419,19136042,19279619,19299078,19576211,19594645,19650179,19708374,19920779,20018939,20135805,20165939,20312651,20361491,20385899,20434691,20507819,20653859,20698492,20723832,20896619,21162731,21219021,21331571,21478192,21509677,21524051,21632772,21663070,21883571,21951550,22050731,22378749,22407611,22432252,22526171,22632805,22833491,22894024,23186411,23249042,23314311,23462350,23469052,23513574,23607539,23886851,24012897,24158812,24162966,24449485,24546194,24855371,24874045,24901139,25035969,25106699,25357917,25379771,25583819,25662406,25753300,25755777,25809779,25878172,25995684,26281691,26326451,26341860,26393531,26474642,26549771,26672584,26683379,26811169,26949731,27143752,27159366,27248476,27259019,27322285,27325091,27589994,27807419,27872891,27938291,27992350,28097984,28154820,28329179,28631411,28695971,28781939,28856042,28974899,29295059,29337611,29339382,29413329,29422619,29486291,29804725,29848854,29965384,30006657,30031808,30035099,30160979,30223811,30370139,30474419,30488965,30536721,30557699,30626197,30654076,30661619,30703701,30728110,30737834,30848171,30893714,30903960,30910211,31054691,31095899,31280939,31362971,31465331,31610232,31681741,31890189,31913339,32008252,32095499,32135891,32253445,32497979,32618099,32786742,32964224,33011752,33036251,33060914,33332771,33470531,33529451,33588299,33590820,33627491,33711057,33713224,33764411,33785784,33978779,34224757,34346771,34474629,34558499,34673579,34692731,34766955,34804561,34979051,35017091,35149979,35206811,35411845,35414579,35503154,35534350,35561511,35640131,35708476,35761165,35765670,35771171,35830208,35864531,35976299,36043132,36106331,36107954,36117697,36254459,36513352,36552025,36560042,36586758,36660580,36714059,36750611,36802909,36873732,36878291,37084752,37096259,37138221,37150571,37258979,37295051,37378876,37528739,37778891,37927377,38009007,38062859,38150048,38301670,38414939,38519939,38599652,38704134,38798531,38833211,38954339,39042076,39245354,39304264,39315371,39605051,39706739,39825011,39930709,39976499,40297465,40308984,40460219,40559459,40570514,40575971,40717034,40806299,40834221,40871819,41009642,41041225,41077521,41127229,41159752,41262251,41312337,41359139,41552051,41632091,41720346,41854504,41934419,42017692,42296531,42405899,42452651,42464042,42494214,42545939,42641220,42675772,42731651,42913398,42918804,42964077,43008059,43221251,43473554,43488601,43627979,43660732,43674337,43717571,43751710,43851419,43862430,43875489,43897300,43992696,44043611,44131859,44161211,44205179,44217297,44281149,44315932,44481971,44741531,44770211,44856059,44870339,45069419,45259630,45296572,45347607,45379091,45438909,45483968,45504659,45657251,45795131,45959531,45962004,46037042,46076350,46122779,46285729,46304721,46318994,46325219,46392299,46405691,46592339,46711499,46764251,46786592,46960931,47086317,47104019,47374499,47489339,47555545,47574652,47691899,47729651,47736997,47754779,47792411,48016691,48140171,48164771,48201611,48356958,48360419,48415274,48469571,48566051,48614099,48793139,48870076,48892510,48958619,48970379,48992001,49134179,49244714,49249470,49273331,49376939,49388411,49491783,49497861,49548179,49688104,49762499,50247731,50420339,50482876,50548451,50569691,50588350,50675411,50738459,50832491,50894819,50915531,50956859,51008339,51062824,51100499,51169464,51292931,51313019,51343091,51412979,51472571,51502259,51566642,51596710,51756539,52043219,52206664,52211805,52232725,52239611,52267379,52350251,52350662,52405139,52468811,52502052,52532768,52577051,52594979,52634916,52676760,52781291,52807619,52868771,52946819,52972691,52989899,53168651,53244179,53252531,53314154,53319059,53368619,53475011,53615254,53805352,53809499,53832851,53879339,53886669,53906365,53917859,53971451,53994299,54039779,54099971,54189299,54196691,54218819,54245042,54261544,54311556,54342851,54542099,54556091,54604811,54618659,54646259,54741851,54762131,54829211,54882299,54928331,55019219,55102211,55142360,55171379,55214891,55224357,55227251,55245731,55291620,55355099,55426571,55450139,55479419,55537379,55562642,55600211,55692592,55706459,55722971,55755779,55804451,55824434,55831211,55899117,55910291,55987571,56053091,56092739,56097659,56127011,56132637,56184851,56188544,56255531,56306219,56360411,56378219,56400299,56403445,56528579,56532731,56569739,56590019,56626019,56641811,56699891,56730131,56741339,56778179,56849459,56873651,56880491,56920859,56969699,56972891,56988731,57025931,57043870,57066654,57079571,57088259,57108251,57141611,57147059,57155171,57194651,57197219,57209939,57212459,57224939,57261179,57275171,57282059,57324011,57336659,57346979,57388139,57393731,57445677,57445691,57477779,57487691,57490451,57494531,57522251,57528011,57550979,57565647,57590411,57595331,57596219,57597899,57599819,57601211,57605291,57605699,57607139,57607811,57607931,57608099,57632529,57674824,57898034,58438876,58538474,58671012,58732497,58814197,58926025,58977728,59099364,59261355,59875465,60085201,60321532,60438194,60500037,60531021,60590365,60706020,61044237,61073704,61244302,61342561,61570876,61747989,61916052,62035155,62281846,62391910,62654166,62679270,62765565,63212112,63331624,63535069,63719894,63820941,64007752,64019114,64687638,64753088,64884177,65322488,65393205,65585042,65750797,66122470,66170832,66349944,66520766,66857888,66949936,67126634,67361642,67575046,67684134,67696717,67748476,68179634,68195710,68246612,68452644,68707917,68875154,69335954,69599926,69644965,69752752,69996801,70599949,70711230,70929397,71113626,71156114,71248077,71381042,71407144,71717354,71850558,71853352,71940842,72004252,72008721,72073645,72306076,72708438,72847224,72861061,73413064,73487799,73596094,73838589,73851375,73891617,74442186,74525224,74643687,74786660,74870292,75215124,75318678,75425312,75545234,75555669,76077674,76501034,76593220,76817042,77451205,77549354,78471846,78774800,79196714,79346964,79364845,79463452,79602794,79758076,79768005,79905842,80333037,80576350,80835021,81077269,81105074,81226876,81519772,81834852,81953127,82144221,82502497,82589697,82671794,82827094,83057714,83272269,83329525,83348461,83573958,83709777,83840877,84023752,84142876,84296042,84432892,84853476,85085872,85320565,85777864,85878652,85943245,85970474,86153642,86258805,86488374,86638645,86653384,87197305,87317212,87485475,87491860,87632230,87656437,88218674,88411557,88473441,88593428,88621650,88847565,89055784,89131300,89438354,89524394,89696042,89743992,89888476,89947225,90580552,90713834,91028420,91589692,91648381,91749889,91911864,91935956,92009392,92606642,92722605,92767634,92941446,93130629,93317840,93405842,93680132,93929710,94402012,94433857,94526721,94529760,94770736,94808114,94919752,95237814,95240092,95300565,95721606,96500097,96535780,96678314,96691620,96910489,97313469,97485057,97495160,97726504,97898642,98249642,98326077,98389034,98734994,98875465,98904112,99077354,99159405,99391612,99483434,99531718,99940252,99955041,99995430,...,171217787797530402049057561017104282796852883192510192985761873647936645182781651466576533538804288248749442496287185893801349908734064908623101303470089511494936957902077153725111083239750314402273689334549638476645428209145318430141296614195147298687448526454076257460239729821758675774230803265877329931236501692511509037141526111676423407933176228367864011819027331276995623792809251664119957334383587478545913228013595681475702239824525215675337773241882295606168672293540175412953935195145414835558262895068641014447447720447607038561631608607300095164226497524225736593401291768513495981719372457272312840669689184184240341306871354633079877899637181223417998825300461845953727398458673823272074567499649575164706699248204409612912367531822919326895075606690204155949278200267796299644321525838305390003836517826109739694581157635011143673585860780915085383622673380185530692655938958582518486658802882494046159026896545803062188139302743983977492050369308697715072546888520495632387380954035851684927810519272713224388509985510481939266922252044229043322167874615728275971649035964678280848297290004157148159528658492637171312739958757645905679313627022163426815828163599648153612296121603049731053194788981232682080516957574948127812340738014944926894096752754924438474236323044112447227197198958873568409157886673559505754701926194019367928540152845768381938653038073823099023473584156189214881746728467437831972554726855881701419506238243676189204650228413635255992101155001643128470310654302265596414800464815014636065495733574578344306188480050735513706229519074763564199375658885384808431346829034149165631452672879821885693916003472139254335807384336969014176302030894570209380399035507966835695837279783770294961934207191839559677199217699153360486897895706148885716233268562819274787075482805943339000746575592946569192550345536640066057544942036311087420351450296087829394965529482289102198480610659130883689758447129046430475307376479027720532498086417127360166093237372899209837726516095982388924155213289309140124818122780568889796324927786134232216921912541792097070553168003411501213604728139484941412450595262432738533936194297919964593806514452098991624279754462220819669176075417966840306853417502696302515598306890779282433847958693703784234989252950776476454177498659202094091343949832916864397342280604684026174959535754662492916096272390149490113091752857045484337359435567119090533201}
15181   594076746315224832788467636875353931392564029126544777017806707: {227595,242768,273114,773211,1317963,1379651,1861851,1970930,2133471,2334794,2365116,2800715,3217791,3335420,3360858,3741803,3920483,4002504,4502817,4554431,4568331,4877978,5162399,5600690,5609891,5707403,5943112,6100211,6332282,6506330,6615743,6686001,6695858,6720828,6968540,7085183,7278011,7716611,7762595,7807596,7959525,8014130,8362248,8490160,8685194,8767871,8912159,9238931,9315114,9407529,9475625,9551430,9616956,9658682,10121690,10181631,10188192,10237283,10323434,10656611,10711263,11023730,11053451,11331452,11370750,11413298,11461716,11779259,11838698,11913251,11979851,12128800,12146028,12235595,12316634,12407420,12525530,12558171,12867971,13114079,13140652,13152971,13228476,13229738,13593779,13644900,13870911,14458595,14554560,14624690,14682714,14888904,15010394,15030636,15223730,15439071,15524864,15635114,15948074,16082891,16118536,16373880,16503683,16674362,16750017,17018930,17114315,17350314,17465472,17502059,17549628,18058139,18133353,18268476,18420615,18552063,18727931,18772360,18793418,19067871,19314812,19648656,20032271,20137631,20273594,20353611,20357759,20422716,20481448,20537178,20681483,20949851,21078674,21118905,21122463,21443420,21587325,21860716,22104738,22258874,22399563,22526832,22639583,22823915,22908891,22982399,23026480,23041629,23174138,23255231,23338511,23576690,23674268,23750783,24025691,24431691,24585736,25342686,25433522,25488443,25694751,25732104,25873115,25904790,25927451,26219711,26277832,26371811,26695979,26770211,26847740,26952411,27040965,27388698,27601439,27631776,27658953,27954651,28040315,28292028,28617530,28704063,28843696,28885283,28902059,28948617,29336315,29478371,29499071,29562561,29593451,29838332,30198515,30425498,30498911,31047738,31085748,31174763,31319474,31327391,31351432,31949183,32017196,32191625,32217288,32347715,32449158,32494605,32549114,32927325,33340730,33381292,33601091,33648378,33810556,33856442,33929690,34042331,34060595,34119251,34341036,34391231,34532243,34660912,34873563,34888178,35122480,35193525,35203578,35270361,35453594,36014783,36212488,36238218,36244449,36429674,36622691,36664991,36819291,37375883,37412159,37456730,37539760,37676858,38317595,38401994,38493609,38538371,38629950,38724803,38817258,38993526,39119176,39217772,39512790,39546971,39576779,39596771,39711963,39798472,40008876,40010315,40512938,40715628,40739049,40872714,40938268,41027051,41205280,41264690,41384991,41405531,41553299,41988525,42141530,42146976,42232230,42501803,42520252,43214291,43284063,43477091,43715656,43905551,44004314,44009073,44225714,44473403,44635595,44679971,44773281,44787760,44948076,45047712,45053915,45264371,45303434,45610898,45641690,45680831,45816434,45825725,45966172,45981114,46092165,46102691,46106751,46252331,46340571,46343231,46355940,46384403,46723595,47079683,47415348,47478851,47552858,47687560,48012378,48249565,48731018,48782344,48782579,48802595,49130330,49164976,49180113,49446336,49517628,49591371,49886474,50386230,50465471,50569836,50648714,50678676,50957183,51449690,51605512,51641402,51674291,51719474,52318130,52482131,52522115,53254731,53301525,53344715,53439491,53481611,53562714,53622491,53648505,53745312,54064698,54161931,54204539,54382211,54445628,54575915,54770028,54789818,54840063,54871625,54880137,54891323,54990870,55083116,55310598,55394915,55415171,55627128,55786418,56006783,56068314,56620715,56658952,56854960,56897819,57157177,57217864,57225072,57285436,57452505,57548714,57899478,58056201,58160714,58175858,58483240,58500652,58563114,58581194,58612538,58656928,58868031,58956396,59041532,59468315,59938559,60463476,60517403,60585212,60712091,60855771,61033658,61075551,61087595,61139531,61200971,61205498,61282672,61514463,61521611,61739628,62110130,62481251,62580519,62781756,62844611,62871683,63026538,63103595,63296543,63696063,63741321,63760211,63828530,63836018,63961830,64013658,64236431,64370097,64378206,64475944,64974611,65209571,65210331,65258330,65322668,65491098,65534282,65627565,65665960,65793645,65845950,65852378,65989044,65997148,66090683,66368954,66473898,66857531,66948074,67173539,67256690,67765343,67826930,67889445,67944858,68225952,68748314,68927950,68943006,69055563,69114525,69157631,69430394,69478491,69615740,70002736,70102883,70179888,70192331,70235680,70564883,71135999,71321114,71361978,71848892,72093530,72415408,72535437,72537791,72622911,72765071,72768011,73048595,73305114,73338765,73520783,73632476,73722160,73867071,73874205,73962251,74450138,74532156,74737403,74843516,75055631,75262682,75401915,75415154,75724314,75821711,75882525,76055858,76088872,76233131,76342130,76500698,76594236,76671218,76673759,76754196,76843372,76963595,76980371,77274371,77349963,77395065,77566991,77744882,77923811,78172691,78228016,78309996,78473603,78496682,78525993,78631043,78656831,78753078,78799152,78952374,79015140,79022171,79164530,79257983,79971231,80004383,80009690,80422881,80508218,80666716,80708028,80710331,80941360,81367563,81392316,81467334,81603299,81653110,82330652,82554736,82571411,82713540,82775723,82924394,82937430,83054783,83343963,83538888,83572360,83587391,83594858,83687420,83736651,83991059,84282816,84308879,84680114,84685595,84688178,84943883,85094588,85308265,85510691,85565805,85599981,86250184,86512236,86541098,86847051,87057179,87190940,87658314,87754559,87807711,88006518,88144931,88169978,88227776,88466592,88649046,88815914,88947194,89258930,89487731,89816690,90005315,90245512,90382595,90482298,90657291,90745754,91059030,91186538,91270192,91610556,91766330,91866453,92031434,92232719,92318483,92356314,92548778,92621771,92790671,92874078,93156530,93272159,93329068,93422769,93483325,93587865,93981249,94018905,94281640,94351811,94818168,94868291,94997436,95157803,95579841,95741525,95800744,96011628,96018698,96028671,96167183,96445571,96545843,96548603,96944584,97031457,97093283,97129632,97237151,97595483,97715999,97983732,97989851,98157851,98225003,98226578,98377563,98451452,98468500,98522156,98941283,99077759,99103643,99139058,99183705,99256248,99329315,99524916,99662483,99697595,99781149,99827056,...,228290383730040536065410081356139043729137177590013590647682498197248860243708868622102044718405717664999256661716247858401799878312086544830801737960119348659915943869436204966814777653000419203031585779399517968860570945527091240188395485593529731583264701938768343280319639762344901032307737687836439908315335590015345382855368148901897877244234971157152015758703108369327498390412335552159943112511449971394550970684794241967602986432700287567117030989176394141558229724720233883938580260193886447411017193424854685929930293930142718082175478143066793552301996698967648791201722358017994642292496609696417120892918912245653788409161806177439837199516241631223998433733949127938303197944898431029432756666199433552942265664272546150549823375763892435860100808920272207932370933690395066192428701117740520005115357101479652926108210180014858231447814374553447178163564506914040923541251944776691315545070509992061545369195394404082917519070325311969989400492411596953430062518027327509849841272047802246570414025696950965851346647347309252355896336058972057762890499487637701295532047952904374464396386672209530879371544656849561750319945010194540905751502696217902421104218132864204816394828804066308070926385308310242774022610099930837083120984019926569192129003673232584632315097392149929636262931945164757878877182231412674339602568258692490571386870461024509251537384098430798697964778874918953175662304623250442630072969141175601892674984324901585606200304551513674656134873335524171293747539069687461886400619753352848087327644766104459074917973400980684941639358766351418932500878513846411241795772045532220841936897173095847591888004629519005781076512449292018901736041192760279173865380677289114261116373045027059949245609589119412902932290265537813982530527608198514288311024750425699716100643741257785334328767457262092256733794048853421410059922715081449893801933728117105859954039309718802931307480878841178253011262838728573967076501972036960709997448556169813554790983163865613116968688127976518565540284385745520166424163707425186395099903714845642955895883389056129427404224004548668284806304185979921883267460349910318045248259063893286125075352602798655499039672616294426225568100557289120409137890003595070020797742521039043245130611591605045646652337267701968605569998212269458788458599777222485863123040806245368233279381006216657221461696520199320150789003809393979116479247422825454044268}
15182   596750414023558597525859958995617002988838426861020264116377884: {212422,303460,364152,409671,576118,650977,922381,939238,1030948,1241398,1301782,1642957,1757284,1784278,2205622,2269681,2385958,2482468,2686198,2844628,2926102,2956395,2981617,3105862,3153488,3225622,3502191,3547674,3823462,4169275,4290388,4479238,4481144,4653997,4895542,4915681,5003130,5014342,5041287,5200223,5336672,5903302,6003756,6091108,6316918,6670822,6847558,6965302,7200598,7316967,7326817,7428890,7494358,7670422,8401035,8431702,8710675,8723782,8914668,8961104,9014497,9181681,9248518,9306742,9498423,9759495,10004182,10043787,10081242,10352038,10410128,10452810,10467862,10591117,10612700,10641478,10837681,10872742,11149664,11334502,11711394,11737702,11852758,12021195,12082678,12303457,12420152,12427078,12543372,12735240,12770902,12822608,12942598,13027791,13056982,13228438,13456822,13575508,13584256,13627942,13741942,13972671,14103719,14164315,14281684,14300557,14327145,14425434,14488023,14615917,14694577,15161000,15182535,15282288,15331222,15485151,15509275,15839398,16008502,16175437,16194704,16406881,16425815,16535595,16744228,16997178,17056125,17119947,17132182,17192574,17402317,17637968,17758047,17781937,17921267,17970742,18026518,18084337,18193200,18219042,18360838,18474951,18494548,18611130,18694582,18788295,18805702,19194118,19406080,19576952,19579057,19637062,19710978,19842714,19844607,19851872,19948237,20021857,20023798,20040848,20148170,20163319,20168881,20299558,20388877,20467350,20585428,20794918,21117517,21179302,21453382,21512519,21831840,21836422,21937035,21945718,22024071,22164118,22273222,22333356,22515591,22545954,22553197,22835595,22993103,23133752,23287296,23306518,23399504,23400781,23452671,23465450,23890417,23922111,24064198,24099181,24143515,24177804,24357968,24441862,24549622,24560820,24603478,24736084,24927757,25011543,25087462,25238234,25355782,25423828,25528395,25601810,25610317,26025471,26198208,26324442,26352817,26478358,26486881,26691382,26804275,27138148,27230288,27285217,27325895,27351277,27382904,27402714,27432503,27911302,28158540,28163284,28190127,28333537,28592737,28783100,28912678,28972218,29175238,29472984,29554477,29592835,29866084,30035776,30060781,30328298,30410391,30500017,30545188,30634074,30722172,30732170,30794182,30805767,30898102,31209478,31572022,31618011,31685927,31727158,32165130,32294758,32575588,32643277,32791074,32809078,32847290,33065638,33157107,33388311,33416881,33559675,33790248,33883942,33985942,34003681,34178317,34229279,34259668,34309472,34539720,34583281,34698337,34761207,34799638,34823663,35053078,35365035,35508262,35511402,35558758,35936548,36012502,36054620,36113158,36163462,36264022,36278881,36518264,36615478,36720097,36842368,36878604,37272868,37297915,37534957,37722704,37914022,38014029,38112838,38150283,38251199,38272084,38559238,38596237,38598156,38857057,38857185,39152422,39189290,39300358,39373297,39416748,39577777,39730381,39841558,40021495,40037878,40271610,40331878,40582897,40625302,40722982,40771798,40869382,41015638,41083047,41132663,41307718,41396984,41447664,41726615,41793238,41941681,42126271,42263195,42325462,42413281,42438042,42663142,42684551,42785377,42926295,42956384,43019354,43048102,43265544,43326140,43494347,43650637,43767142,43903100,44101462,44227681,44315377,44757498,44815222,44864504,44878381,45052342,45091681,45154823,45265610,45429217,45512881,45638247,45666982,45788048,46372822,46414177,46498084,46571607,46614157,46628622,46924700,46938104,46979211,47027148,47215078,47773702,48025794,48120523,48186097,48317624,48325932,48604907,48673737,48823671,48898970,48979681,49022215,49092388,49397857,49432237,49576583,49710742,49738417,49748090,49802278,49905997,50011095,50065631,50071938,50170381,50213398,50430157,50472567,50715834,50759542,50784663,50894535,51028657,51167638,51172835,51324812,51482797,51506600,51511554,51619558,51756344,51949357,51991368,52063117,52287181,52332267,52479457,52563382,52652902,52683720,52787062,52805367,52879597,52949284,53009377,53035117,53094679,53099542,53150315,53180391,53263537,53338381,53345168,53366758,53510497,53534797,53583181,53622338,53899462,54208177,54230317,54287504,54318732,54339937,54357327,54383281,54496952,54518038,54553777,54644511,54644570,54650182,55179988,55318957,55337137,55373281,55497517,55614838,55718881,55745782,55876582,55984700,56065777,56110381,56154337,56185095,56195968,56254381,56309640,56323681,56364397,56416451,56515287,56545837,56658358,56678497,56758381,56937697,56986477,57042637,57104881,57211117,57226381,57262822,57263281,57391942,57409837,57457715,57484897,57543757,57563878,57584077,57602991,57605857,57622381,57623281,57712084,57944925,57949798,58225887,58490289,58590118,58675222,58678764,58826658,58845238,58972582,59269185,59609450,59697708,59930768,60013314,60063616,60070198,60321958,60447622,60740278,60769407,60948838,60977930,61073442,61115398,61252394,61308152,61309071,61323238,61407402,61456220,61475668,61696342,61787428,61807920,61820422,61897035,62109382,62191798,62561878,62725942,62930662,63212295,63220464,63348345,63363482,63780378,63826678,64016504,64190998,64271782,64506890,64995958,65078431,65236198,65573484,65928448,66006471,66023504,66072502,66121828,66338571,66577763,66665542,66941062,67058902,67176598,67181640,67254982,67422114,67426448,67528822,67571568,67955151,67957558,68057035,68416347,68449514,68462535,68693542,68724651,68853895,68949258,68971671,69116998,69347158,69385462,69533910,69609122,69958102,70034182,70299958,70413622,70823690,70829158,71006308,71009783,71068700,71123022,71280262,71329287,71416952,71522330,71531340,71542342,71606795,71660416,71729062,71952598,72018567,72086264,72212662,72215908,72235394,72508918,73026704,73096527,73104050,73120084,73125815,73173516,73321160,73428118,73501222,73605818,73695495,73747464,73756582,73801915,74169504,74192518,74276442,74301142,74338603,74517958,74590102,74757752,74829711,75057478,75468911,75557782,75579345,75731515,75854754,75973071,76018014,76125718,76300096,76603340,76829878,77039878,77174535,77199304,77408268,77462103,77579211,77597062,77666422,77908678,78084152,78477195,78490708,78608528,78630742,78964823,79210102,79413478,79650022,79861418,79952998,80005211,80344071,80594930,80617968,80920438,81097047,81118918,81141028,81151942,81434068,81612598,81653335,81668442,81743638,82019284,82082450,82155042,82184727,82254458,82319504,82486305,82496435,82524502,82624674,82718278,82965897,83104102,83264182,83440692,83679627,83709008,83825651,83868838,84035384,84102471,84593062,84811798,84826511,84905302,84928084,84988428,85091878,85282440,85351544,85463302,85826796,85837608,85928154,86016118,86323071,86442502,86849217,86947108,86977202,87019675,87241071,87255958,87263787,87321464,87348674,87435142,87503420,87702838,87724860,87750978,87794600,87844671,87871791,87918807,87985392,88087222,88263718,88322422,88410358,88434594,88562298,88631864,88963942,89483062,89540422,89712118,89740678,89811115,90138838,90519260,90593144,90695214,90758182,90877818,90967936,91009318,91314502,91550487,91590262,91808247,91919062,91924008,92040595,92074084,92152700,92245558,92571458,92609442,92637988,92650438,92784598,92811382,93165195,93184678,93422998,93528502,93554395,93573184,93921862,94172634,94208038,94539807,94748998,94978678,95111090,95149304,95383798,95459302,95473994,95509558,95584822,95742795,95754027,95942745,96020487,96033382,96054215,96280342,96329542,96403222,96567309,96713916,96720838,96830548,96881191,96939142,97132102,97228198,97502951,97586278,97740152,97785020,97887495,97917238,97940758,97968959,97984002,98236647,98268358,98301423,98489428,98498940,98546662,98753878,98768925,98776822,98778567,98983566,98995722,99096358,99376208,99524998,99553431,99710847,...,342435575595060804098115122034208565593705766385020385971523747295873290365563302933153067077608576497498884992574371787602699817468129817246202606940179022989873915804154307450222166479500628804547378669099276953290856418290636860282593228390294597374897052908152514920479459643517351548461606531754659862473003385023018074283052223352846815866352456735728023638054662553991247585618503328239914668767174957091826456027191362951404479649050431350675546483764591212337344587080350825907870390290829671116525790137282028894895440895214077123263217214600190328452995048451473186802583537026991963438744914544625681339378368368480682613742709266159755799274362446835997650600923691907454796917347646544149134999299150329413398496408819225824735063645838653790151213380408311898556400535592599288643051676610780007673035652219479389162315270022287347171721561830170767245346760371061385311877917165036973317605764988092318053793091606124376278605487967954984100738617395430145093777040991264774761908071703369855621038545426448777019971020963878533844504088458086644335749231456551943298071929356561696594580008314296319057316985274342625479917515291811358627254044326853631656327199296307224592243206099462106389577962465364161033915149896255624681476029889853788193505509848876948472646088224894454394397917747136818315773347119011509403852388038735857080305691536763877306076147646198046947168312378429763493456934875663945109453711763402839012476487352378409300456827270511984202310003286256940621308604531192829600929630029272130991467149156688612376960101471027412459038149527128398751317770769616862693658068298331262905345759643771387832006944278508671614768673938028352604061789140418760798071015933671391674559567540589923868414383679119354398435398306720973795791412297771432466537125638549574150965611886678001493151185893138385100691073280132115089884072622174840702900592175658789931058964578204396961221318261767379516894258092860950614752958055441064996172834254720332186474745798419675453032191964777848310426578618280249636245561137779592649855572268464433843825083584194141106336006823002427209456278969882824901190524865477067872388595839929187613028904197983248559508924441639338352150835933680613706835005392605031196613781558564867695917387407568469978505901552952908354997318404188182687899665833728794684561209368052349919071509324985832192544780298980226183505714090968674718871134238181066402}
15183   599436018559831330034420496579182333883217706730765784757489177: {318633,379325,455190,485536,546228,864177,1288685,1408857,1546422,1834481,1862097,1952673,2196605,2635926,2676417,2759302,3103085,3308433,3555785,3578937,3723702,3832697,3921001,3941860,4029297,4266942,4378061,4389153,4658793,4669588,4730232,4838433,5321511,5362985,5601430,5735193,6101017,6435582,6670840,6718857,6721716,6824081,7343313,7462541,7483606,7504695,7521513,7613885,7840966,8005008,8007473,8854953,9005634,9108862,9136662,9475377,9755956,10006233,10092377,10271337,10324798,10447953,10800897,10867633,11143335,11201380,11219782,11241537,11414806,11505633,11793881,11886224,12200422,12353857,12647553,12664564,13012660,13085673,13231486,13265875,13372002,13391716,13441656,13872777,13937080,13960113,14170366,14531281,14556022,14766257,15006273,15121863,15152321,15433222,15498457,15525190,15528057,15615192,15679215,15701793,15919050,15962217,16028260,16309113,16724496,16969385,16980320,17001753,17129833,17370388,17535742,17567091,17606553,17779137,17824318,17852105,18124017,18415433,18477862,18630228,18640617,18815058,18951250,19007053,19102860,19156353,19233912,19317364,19413897,19585473,19842657,20185233,20242033,20243380,20363262,20376384,20441913,20474566,20492057,20590841,20612913,20646868,20930285,20931217,21282113,21313222,21341437,21422526,21638151,22047460,22106902,22662904,22741500,22811501,22826596,22923432,22996833,23118185,23210237,23558518,23677396,23759097,23826502,23959702,23960041,24012753,24257600,24292056,24471190,24633268,24814840,25051060,25116342,25384781,25495767,25698273,25731785,25735942,25788861,26228158,26281304,26305942,26456952,26459476,26956113,27039777,27161017,27187558,27289800,27328563,27541257,27741822,27916695,28041873,28208553,28537081,28781993,28791177,28916813,28917190,29109120,29249380,29365428,29455593,29474377,29566467,29764071,29777808,30020788,30035697,30061272,30222255,30447460,30449337,30641533,30701025,30878142,30920105,31049728,31055897,31192377,31270228,31768953,31779785,31896148,31953481,32165782,32180073,32237072,32747760,32754633,32918577,33007366,33246177,33348724,33409833,33500034,33818931,33922685,34037860,34228630,34700628,34930944,34959777,35004118,35099256,35198175,35204105,35978875,36096297,36116278,36222361,36266706,36485777,36536952,36662793,36824433,36841230,36905217,36913777,37045433,37104126,37332605,37455862,37544720,37571753,37586836,37631193,37857351,38033673,38038061,38135742,38181485,38288657,38402715,38629624,39256441,39297312,39486663,39717537,40037073,40064542,40275262,40547188,40707222,40712173,40715518,40719485,40845432,40962896,41070841,41074356,41104071,41362966,41808521,41866953,41899702,42157348,42237810,42244926,42277921,42351293,42824585,42886840,43072297,43174650,43331353,43369017,43425313,43458327,43721432,43762857,44090237,44209476,44517748,44799126,44920685,45053664,45068275,45279166,45286801,45492447,45647830,45817782,45951111,45964798,46028081,46052960,46083258,46098255,46191273,46347153,46348276,46510462,46591085,46677022,46772557,46814217,47153380,47348536,47358033,47501566,47590737,47684833,47840105,47955017,48051382,48247695,48442137,48863382,49171472,49186611,49213617,49270935,49598457,50131181,50685372,50825913,50867044,50976886,50978913,51162217,51389502,51464208,51526537,51746230,51809580,51854902,52199457,52439422,52555664,52579617,52743622,53262393,53267103,53338137,53391958,53540422,53644633,53695480,53904822,54018753,54081930,54157675,54169737,54245193,54396033,54769273,54777396,54878875,54923217,54928397,55202878,55263552,55317906,55909302,56014441,56041981,56080630,56584056,56871033,57169257,57235060,57408126,57649601,57687392,57770566,57804118,57838857,57897234,58122605,58496537,58655875,58672630,58721753,58728633,58783935,58950537,58956742,58998142,59125122,59186902,59662541,59676664,59762337,60056817,60397030,60407415,60497817,60850996,60937953,60997822,61084473,61157697,61304073,61365485,61523457,61961577,62095476,62171496,62349526,62489833,62638948,62654782,62689857,62702864,63057017,63075481,63256457,63488193,63657063,63898366,63994713,64034392,64156015,64383250,64434576,64529031,64572153,64691017,64695430,64898316,64989210,65098228,65154881,65413033,65650713,65758817,65854650,66152193,66186605,66681460,66762584,67136247,67202182,67222833,67242877,67296756,67549391,67578513,67621112,67712884,67859380,67898415,67996577,68084662,68121190,68123981,68238502,68323633,68332417,68500473,68682072,68782462,68974985,69064486,69321824,69559233,69747126,69776356,69887081,69942933,69980875,70244960,70387050,70407156,70450297,70540722,70822617,70907188,71660553,71750653,72029566,72038691,72140105,72424976,72476436,72488898,72716897,72859348,73245382,73329982,73348455,73530961,73638582,74566113,74622135,74682601,74703417,74751766,74824318,74913460,75079520,75107907,75320097,75353716,76073751,76139313,76406281,76635190,76751457,76803988,76820275,76844585,76987218,77076742,77234285,77259900,77267331,77429337,77449606,77552881,77634516,77987052,78238352,78350281,78435544,78845073,78979353,79025580,79093942,79153558,79180593,79193542,79269001,79423926,79596944,79649313,80017752,80020630,80050137,80433507,80849193,81025876,81163577,81431256,81478098,81745428,81777057,81876536,81966855,81975273,81985993,82054102,82410560,82529380,82652285,82769982,82811062,82954573,83106598,83255641,83422257,83618673,83814873,83977050,84069817,84283060,84293952,84464460,84987537,85003606,85040504,85449341,85522633,85894233,86087913,86345817,86428582,86568126,86683777,86924697,86954182,87409933,87431312,87811102,87885177,88008628,88012833,88018146,88239987,88267857,88318897,88345033,88451428,88458873,88757885,88835875,88892813,88946806,89271190,89359942,89414175,89546562,89575520,89896152,89936813,90019971,90095424,90105297,90107830,90111953,90269885,90362473,90482937,90528742,90606868,90671433,91110417,91221796,91283380,91361662,91400105,91423257,91466895,91610163,91632868,91651450,91673097,91878591,91932344,91962228,91984857,92111103,92130617,92184330,92205382,92213502,92504662,92544513,92681142,92686462,92711880,92730633,92768806,92958073,93164073,93287697,93447190,93842817,94088913,94159366,94395993,94802321,94830696,94937281,94957702,95045223,95105716,95375120,95670567,95740017,95754175,96024756,96162977,96252113,96286497,96407673,96499130,96760335,97462036,97493937,97564688,97565158,97605190,97854297,98113385,98260660,98329952,98360226,98892672,99035256,99108753,99182742,99772948,99821437,99998313,...,513653363392591206147172683051312848390558649577530578957285620943809935548344954399729600616412864746248327488861557681404049726202194725869303910410268534484810873706231461175333249719250943206821068003648915429936284627435955290423889842585441896062345579362228772380719189465276027322692409797631989793709505077534527111424578335029270223799528685103592035457081993830986871378427754992359872003150762435637739684040787044427106719473575647026013319725646886818506016880620526238861805585436244506674788685205923043342343161342821115684894825821900285492679492572677209780203875305540487945158117371816938522009067552552721023920614063899239633698911543670253996475901385537861182195376021469816223702498948725494120097744613228838737102595468757980685226820070612467847834600803388898932964577514916170011509553478329219083743472905033431020757582342745256150868020140556592077967816875747555459976408647482138477080689637409186564417908231951932476151107926093145217640665561486897162142862107555054783431557818139673165529956531445817800766756132687129966503623847184827914947107894034842544891870012471444478585975477911513938219876272937717037940881066490280447484490798944460836888364809149193159584366943698046241550872724844383437022214044834780682290258264773315422708969132337341681591596876620705227473660020678517264105778582058103785620458537305145815959114221469297070420752468567644645240185402313495917664180567645104258518714731028567613950685240905767976303465004929385410931962906796789244401394445043908196487200723735032918565440152206541118688557224290692598126976656154425294040487102447496894358018639465657081748010416417763007422153010907042528906092683710628141197106523900507087511839351310884885802621575518679031597653097460081460693687118446657148699805688457824361226448417830017002239726778839707577651036609920198172634826108933262261054350888263488184896588446867306595441831977392651069275341387139291425922129437083161597494259251382080498279712118697629513179548287947166772465639867927420374454368341706669388974783358402696650765737625376291211659504010234503640814184418454824237351785787298215601808582893759893781419543356296974872839263386662459007528226253900520920560252508088907546794920672337847301543876081111352704967758852329429362532495977606282274031849498750593192026841814052078524878607263987478748288817170448470339275258571136453012078306701357271599603}
15184   602133612790864740604107781696874723943014378582045756425295523: {166903,348703,424844,606920,682785,711439,728304,801943,819342,1152236,1253383,1301954,1523383,1613239,1844762,1878476,1971943,2061896,2319633,2482796,2507839,2603564,3285914,3395239,3483583,3514568,3568556,3953889,4138953,4363063,4411244,4539362,4712839,4771916,4927325,4964936,5235343,5372396,5585553,5689256,5836985,5852204,5912790,5927983,5963234,6211724,6306976,6358543,6400413,6451244,6530263,6787303,6872839,7004382,7095348,7646924,8147239,8231623,8338550,8402145,8580776,8652463,8958476,8962288,9307994,9322063,9405439,9653373,9791084,9831362,10006260,10028684,10082574,10400446,10673344,10975903,11139703,11225409,11466439,11761449,11806604,12007512,12182216,12194945,12278239,12359023,12600943,12633836,13341644,13402663,13508451,13663293,13695116,13704993,13880239,13930604,14001725,14401196,14591743,14633934,14653634,14857780,14988716,15340844,15453439,15487197,15531343,15830705,16151983,16265825,16614439,16739645,16802070,16829673,16863404,16997839,17122209,17421350,17447564,17759239,17829336,17834983,17922208,18028994,18061783,18137239,18300633,18363362,18497036,18613484,18996846,19518990,19631239,19705183,19830041,19847229,20008364,20035325,20058003,20087574,20162484,20367439,20440663,20704076,20820256,20905620,20935724,21182234,21225400,21255549,21282956,21386023,21675362,21712985,21745484,21818239,21834033,22299328,22669004,22887439,22996141,23149833,23169823,23287785,23310583,23422788,23475404,23705516,23829377,23878575,23940439,24042390,24146705,24165356,24606914,24633439,24840304,24854156,24908623,25086744,25304225,25470480,25541804,25645216,25808585,25885196,26055582,26113964,26303613,26334439,26456876,26736477,26913644,27068623,27151016,27168512,27255884,27267343,27483884,27559325,27716793,27925063,27945342,28207438,28222587,28328630,28426875,28533245,28563368,28601114,28654290,28850868,28976046,29026663,29231834,29282839,29346703,29389154,29596745,30322000,30365070,30544893,30564576,30608863,30662444,30711849,30791585,30970302,31018550,31105663,31313825,31678796,31969833,32017004,32024743,32133789,32146063,32350874,32389408,32813762,32851630,33071190,33074345,33160353,33284239,33488456,33579439,33638263,33800921,33814303,33994356,34112250,34239894,34264364,34385148,34804634,35028439,35256103,35275936,35337777,35516094,35563874,35651743,35739753,35842534,35939553,35941484,36053036,36155239,36168674,36386400,36438084,36561725,36706785,36721676,36762703,36926863,36949902,36989096,37222260,37307383,37389164,37525985,37576590,37611404,37674513,38059325,38256253,38375143,38388236,38603913,38794183,38812160,38846239,39087785,39153904,39158114,39274124,39342237,39421956,39458913,39685428,39689214,39703744,39821623,39870185,39896474,40043714,40047596,40081696,40124239,40296340,40326638,40337762,40599116,40622839,40777754,40781337,40934700,41114239,41170856,41429969,41589836,41612733,41685905,42131837,42235034,42358604,42498583,42547325,42906764,42961903,43025038,43375785,43508383,43663680,43672844,43733023,43874070,43891436,44048142,44088703,44176903,44328236,44546444,44666712,44786239,44829223,45031182,45091908,45106394,45381463,45632239,45671190,45839239,45986206,46207303,46267504,46317213,46574592,46613036,46799008,46801562,46905342,46930900,46983545,47043439,47772583,47780834,47844222,48034663,48126881,48128396,48182839,48198362,48248673,48287030,48355608,48584383,48611329,48715936,48883724,49099244,49121640,49206956,49395823,49472168,49511049,49567183,49785593,49804063,49855514,50023086,50174924,50234623,50250051,50476468,50557543,50589439,50683985,50711564,50779303,50847656,50935543,51028423,51056790,51181783,51203620,51220634,51333343,51342945,51660439,52050942,52204903,52217081,52371439,52396416,52506177,52535383,52616383,52648884,52696685,52705634,52749943,52802863,52907839,52956716,52973762,53011663,53291239,53382764,53608550,53781761,53870983,54032263,54100303,54122839,54174417,54276296,54400059,54452239,54460576,54473623,54570434,54579463,54642103,54651790,54702554,54765808,54785743,54805428,54865006,54866239,55043143,55138903,55251439,55261845,55538863,55624903,55647185,55656189,55758823,55822604,56012839,56028103,56030093,56103343,56183793,56317080,56326568,56380254,56426263,56491423,56667074,56756381,56869709,56907439,56947903,57174703,57185474,57203613,57222439,57303223,57399343,57519439,57542983,57557239,57566200,57570343,57620239,57626143,57635863,57638239,57825356,57935345,57944436,58350476,58417261,58941725,58945968,59108954,59168473,59185670,59732168,60071552,60096813,60121562,60412893,60656596,60820782,61000034,61060833,61073277,61090376,61268148,61444344,61464340,61588364,61611534,61796204,62044449,62418956,62748257,62849553,63144044,63236022,63356715,63367389,63371854,63454316,63583805,64330260,64589516,64761975,65151176,65286554,65582148,65618156,65694580,66131276,66314214,66776622,66833762,67119350,67198689,67580496,67767884,67918749,67971884,68007362,68356634,68458558,68471745,68519336,68618944,68631101,68726673,68947197,69079440,69124887,69166562,69396674,69522414,69599276,69647326,69765693,70015533,70106156,70730070,71016524,71022804,71117516,71252349,71543825,71641969,71873096,72025004,72077073,72109240,72226316,72326924,72528044,72557762,72734717,73036528,73230956,73295073,73440194,73684736,73757208,74410441,74545736,74595830,75015281,75069914,75445408,75828044,76028058,76063745,76225676,76300566,76465329,76502398,76544168,76910873,77084253,77118476,77192474,77196312,77619345,77714114,77714370,77782353,78298685,78304844,78378580,78600716,78659133,78746594,78833496,79115433,79155554,79460762,79683116,80042990,80075756,80087937,80310633,80440801,80543220,80663756,80857233,81122895,81165794,81250604,81372785,81445964,81543596,81738764,82031276,82166094,82265326,82615436,82793968,82804317,82895328,82976859,83084321,83351825,83453230,83586476,83863953,83883362,84120945,84252542,84526390,84641105,84650924,84824225,84826562,84876084,85326284,85369102,85570754,85852590,85912768,86038708,86096204,86112189,86531088,86652280,86655849,86706177,86845851,86988694,87220445,87301274,87534284,87806200,88008945,88202924,88435113,88455362,88497213,88630754,88633985,88687683,88780353,89514996,89630444,89729008,89756762,90104684,90183362,90309646,90531220,90595545,90858434,91025762,91074185,91276494,91333964,91496733,91576096,92745644,92828354,92996168,93143214,93228314,93257244,93524289,93641825,93849400,93876208,93958422,93982173,94054296,94192145,94430156,94551613,95279849,95547404,95847549,96004985,96051588,96241046,96372194,96395453,96574875,96635248,96651864,97043145,97209814,97347474,97483815,97647342,97797940,97959362,98044430,98184776,98781975,98795714,98864474,99153166,99421484,99476834,99496180,99604556,99811994,...,684871151190121608196230244068417131187411532770040771943047494591746580731126605866306134155217152994997769985148743575205399634936259634492405213880358045979747831608308614900444332959001257609094757338198553906581712836581273720565186456780589194749794105816305029840958919287034703096923213063509319724946006770046036148566104446705693631732704913471456047276109325107982495171237006656479829337534349914183652912054382725902808959298100862701351092967529182424674689174160701651815740780581659342233051580274564057789790881790428154246526434429200380656905990096902946373605167074053983926877489829089251362678756736736961365227485418532319511598548724893671995301201847383814909593834695293088298269998598300658826796992817638451649470127291677307580302426760816623797112801071185198577286103353221560015346071304438958778324630540044574694343443123660341534490693520742122770623755834330073946635211529976184636107586183212248752557210975935909968201477234790860290187554081982529549523816143406739711242077090852897554039942041927757067689008176916173288671498462913103886596143858713123393189160016628592638114633970548685250959835030583622717254508088653707263312654398592614449184486412198924212779155924930728322067830299792511249362952059779707576387011019697753896945292176449788908788795835494273636631546694238023018807704776077471714160611383073527754612152295292396093894336624756859526986913869751327890218907423526805678024952974704756818600913654541023968404620006572513881242617209062385659201859260058544261982934298313377224753920202942054824918076299054256797502635541539233725387316136596662525810691519287542775664013888557017343229537347876056705208123578280837521596142031867342783349119135081179847736828767358238708796870796613441947591582824595542864933074251277099148301931223773356002986302371786276770201382146560264230179768145244349681405801184351317579862117929156408793922442636523534759033788516185721901229505916110882129992345668509440664372949491596839350906064383929555696620853157236560499272491122275559185299711144536928867687650167168388282212672013646004854418912557939765649802381049730954135744777191679858375226057808395966497119017848883278676704301671867361227413670010785210062393227563117129735391834774815136939957011803105905816709994636808376365375799331667457589369122418736104699838143018649971664385089560597960452367011428181937349437742268476362132804}
15185   604843249815747030657139707851545883437505622540935732349517587: {531055,637266,758650,910380,971072,1092456,1229013,1440295,1728354,1804159,1952931,2168023,2348095,2577370,2767143,2817714,3075247,3092844,3103495,3254455,3668962,3724194,3905346,4344319,4393210,4460695,4529551,4893127,4928871,4978099,5271852,5352834,5514055,5518604,5964895,6160759,6206170,6616866,6715495,6809043,7111570,7156963,7157874,7315255,7447404,7463527,7508179,7665394,7764655,7842002,7883720,7977199,8008531,8058594,8064055,8064823,8340487,8533884,8756122,8778306,8815543,8869185,8944851,9317586,9339176,9460464,9517399,9558655,9676866,10506573,10643022,10659439,10725970,10788403,11133859,11198095,11202860,11470386,12081679,12126103,12202034,12238855,12507825,12535855,12871164,13341680,13437714,13443432,13648162,13778083,13938223,13961991,14259103,14686626,14747043,14758255,14925082,14967212,15009390,15043026,15123861,15227770,15600669,15665959,15681932,15792295,16010016,16014946,16087159,16677055,16746103,16934947,17118895,17200039,17413255,17451031,17709906,18001495,18011268,18217724,18273324,18572225,18720823,18735895,18950754,19176055,19511912,20012466,20184754,20542674,20649596,20895906,21079255,21186703,21601794,21735266,21809455,21950901,21980451,22010899,22286670,22402760,22439564,22483074,22829612,22917319,23011266,23121295,23266855,23587762,23757139,23772448,23785891,24400844,24643603,24707714,24810943,24992947,25010455,25203105,25295106,25329128,25495207,25880095,25934359,26025320,26132025,26169655,26171346,26260639,26462972,26531750,26603695,26623063,26744004,26783432,26883312,27043491,27181855,27395959,27405811,27545043,27745554,27874160,27920226,28336255,28340732,28495269,29062562,29112044,29278485,29302399,29344255,29532514,29631895,30012546,30131361,30206695,30243726,30304642,30854431,30866444,30996914,31050380,31056114,31067695,31230384,31358430,31403586,31479283,31773351,31838100,31924434,31927255,31930711,32056520,32318791,32356495,32365459,32513043,32618226,32642455,32792743,33071095,33197683,33336019,33448992,33642055,33938770,33960640,34003506,34069855,34259666,34354855,34541407,34740776,34986703,35007199,35071484,35134182,35213106,35558274,35648636,35704210,36024499,36063585,36248034,36280711,36674803,36830866,36910371,36955724,37260456,37281234,37322659,37630116,37722583,37737871,37902500,38014106,38205720,38265571,38312706,38328055,38467824,38548639,38634728,38827794,39083373,39170946,39598495,39607279,39685314,40021255,40370466,40484066,40486760,40726524,40752768,40883826,40949132,40984114,41181682,41202403,41225826,41293736,41416519,41860570,41862434,41918013,42311157,42492945,42513127,42564226,42626444,42682874,42830455,42845052,42901671,42981435,43225759,43276302,43288147,43464069,43847751,43877503,44083731,44094920,44213804,44491699,44926855,44963311,45066295,45250231,45288403,45325808,45391159,45483000,45547605,45623002,45653192,45846864,45902095,45993666,46236370,46355683,46420474,46455453,46527825,46736455,47014255,47117036,47130943,47133271,47354792,47491759,47518194,47653004,47919404,47920082,47985295,48025506,48515200,48526311,48584112,48942380,49092655,49220643,49266536,49277445,49285747,49606785,49629680,50059495,50102120,50205859,50232684,50370425,50640127,50748895,50769562,50991534,51168375,51252583,51359841,51396546,51449551,51463570,51471884,51577722,51987295,52206951,52265647,52456316,52562608,52611884,52913904,52918952,52948255,53274141,53345811,53454079,53633455,53650759,53763801,53912226,54043363,54079554,54253011,54322034,54375116,54396823,54579600,54591055,54657126,54864295,55082514,55410295,55424853,55483644,55683055,55833390,56028967,56083746,56364885,56417106,56594659,56674111,56674543,57007279,57074162,57549943,57563986,57582354,57607831,57833626,57834380,58157527,58218240,58266295,58498760,58663625,58730856,58737171,58911186,58948754,59132934,59528142,59533821,59555616,59844711,59954419,60041576,60065571,60071394,60122544,60160495,60444510,60489957,60506643,60533527,60656527,60894920,60898674,61104655,61166631,61283066,61374055,61402050,61508695,61685011,61756284,61840210,62099456,62111794,62384754,62540456,62718655,62888959,63026911,63095585,63352551,63389455,63537906,63559570,63777199,63792296,63906962,64004525,64331564,64360146,64431907,64474144,64537557,64833271,65194543,65227519,65495520,65509266,65811105,65837154,66014732,66072213,66195895,66447391,66492354,66697448,66728455,66819666,66976147,67000068,67546773,67637862,67659591,67845370,68075720,68321143,68457260,68506785,68630479,68979309,69132271,69401256,69638623,69778255,69861888,69919554,70008236,70121719,70198512,70202343,70211383,70358013,70396350,70408210,71115199,71671251,71766333,71784163,71957750,72192594,72232556,72281695,72297543,72430545,72444722,72533412,72557203,72787399,72938095,72971554,73073904,73325586,73648866,73682460,73810434,73827554,73982359,74090866,74208252,74609623,74665210,74757631,74783271,74911724,75034629,75089440,75143506,75169711,75173672,75262386,75590899,75714702,75820745,76067346,76076122,76138567,76271484,76362970,76577314,76585185,76622131,76805430,76830425,76830951,76985455,77001223,77245255,77259248,78023695,78076413,78193519,78512882,78594624,78930055,78973326,79058451,79302883,79317895,79435074,79460643,80004511,80032039,80074146,80129084,80359591,80412825,80460943,80550524,80634823,80736895,81094376,81371647,81414444,81424346,81431036,81438970,81690864,81855651,81925792,81977685,82022695,82031731,82053831,82118225,82141682,82148712,82208142,82297509,82593823,82664095,82725932,83617042,83733906,83799404,83976343,84314696,84475620,84489852,84555842,84570381,84702586,84709855,84964855,84966799,85000611,85649170,85773680,85778211,85911679,85938151,86144594,86316847,86349300,86662706,86738034,86850626,86916654,86999095,87080983,87429079,87442864,87525714,87632695,88010659,88180474,88418952,88577683,88663431,88770655,88778505,88896895,89035496,89598252,89818421,89841370,90031255,90107328,90136550,90182343,90282895,90408655,90558332,90573602,90660055,90984894,91231173,91295660,91342399,91500051,91538695,91635564,91902222,91929596,92056162,92105920,92166516,92196510,92382546,92417301,92661247,92694306,92696552,92815603,93020924,93182170,93354044,93545114,93628434,94306760,94697072,94716066,94785055,94854033,95003132,95057781,95181474,95282095,95369666,95680210,95910034,95920591,96102764,96398095,96495390,96564979,96574327,96847411,96884274,97726764,97733527,97881055,97929831,97973225,98015959,98184823,98250895,98277607,98342944,98373222,98427234,98541870,98798359,99139687,99196914,99350791,99471321,99603895,99689479,...,1027306726785182412294345366102625696781117299155061157914571241887619871096689908799459201232825729492496654977723115362808099452404389451738607820820537068969621747412462922350666499438501886413642136007297830859872569254871910580847779685170883792124691158724457544761438378930552054645384819595263979587419010155069054222849156670058540447599057370207184070914163987661973742756855509984719744006301524871275479368081574088854213438947151294052026639451293773637012033761241052477723611170872489013349577370411846086684686322685642231369789651643800570985358985145354419560407750611080975890316234743633877044018135105105442047841228127798479267397823087340507992951802771075722364390752042939632447404997897450988240195489226457677474205190937515961370453640141224935695669201606777797865929155029832340023019106956658438167486945810066862041515164685490512301736040281113184155935633751495110919952817294964276954161379274818373128835816463903864952302215852186290435281331122973794324285724215110109566863115636279346331059913062891635601533512265374259933007247694369655829894215788069685089783740024942888957171950955823027876439752545875434075881762132980560894968981597888921673776729618298386319168733887396092483101745449688766874044428089669561364580516529546630845417938264674683363183193753241410454947320041357034528211557164116207571240917074610291631918228442938594140841504937135289290480370804626991835328361135290208517037429462057135227901370481811535952606930009858770821863925813593578488802788890087816392974401447470065837130880304413082237377114448581385196253953312308850588080974204894993788716037278931314163496020832835526014844306021814085057812185367421256282394213047801014175023678702621769771605243151037358063195306194920162921387374236893314297399611376915648722452896835660034004479453557679415155302073219840396345269652217866524522108701776526976369793176893734613190883663954785302138550682774278582851844258874166323194988518502764160996559424237395259026359096575894333544931279735854840748908736683413338777949566716805393301531475250752582423319008020469007281628368836909648474703571574596431203617165787519787562839086712593949745678526773324918015056452507801041841120505016177815093589841344675694603087752162222705409935517704658858725064991955212564548063698997501186384053683628104157049757214527974957496577634340896940678550517142272906024156613402714543199206}
15186   607564982966845160765285500755550184406077953390498705354437095: {197249,333806,560513,697406,711533,849688,955899,1137975,1193453,1213840,1365570,1422878,1456608,1553549,1603886,1638684,1643393,1703249,2304472,2506766,2592531,2597249,2603908,3046766,3226478,3425153,3572333,3689524,3756952,3836753,3866055,3924749,3943886,4123792,4226571,4567853,4639266,4713473,4965592,5015678,5207128,5322893,5503443,5525249,5586291,5756033,5858019,6187373,6388049,6473933,6571828,6589815,6616913,6790478,6816749,6898255,6967166,7029136,7137112,7158413,7385549,7907778,8007533,8029251,8148353,8171779,8277906,8653649,8726126,8822488,9078724,9309255,9351149,9425678,9490049,9543832,9854650,9905549,9925299,9929872,10470686,10667355,10676333,10736811,10744792,11171106,11378512,11468033,11498091,11673970,11704408,11763003,11825580,11855966,11926468,12037133,12087891,12306893,12360749,12423448,12613952,12629549,12717086,12800826,12902488,13060526,13134183,13167459,13351313,13574606,13745678,13976379,14003575,14008764,14190696,14304593,14357249,14515299,14620049,15293848,15533549,15870353,15964533,16088955,16180049,16294478,16463246,16616813,16677100,16804290,17072923,17076749,17161552,17205579,17304926,17787053,17837549,17916952,17924576,18089549,18139853,18303051,18390893,18615988,18644126,18709015,18810878,19306746,19582168,19584749,19602415,19634093,19658753,19662724,20012520,20057368,20156571,20165148,20394833,20443649,20472243,20516813,20800892,21172049,21244493,21340973,21346688,21845393,21951806,21964973,22029939,22162987,22279406,22387623,22450818,22488749,22514085,22564539,22772155,22841655,22914413,22932878,23032193,23196749,23435503,23522898,23613208,23944013,23967233,24015024,24022419,24364432,24389890,24556478,24637133,24718046,24935249,24980993,25118033,25201886,25267672,25811995,26360813,26405549,26564859,26673293,26683288,26805326,26806733,27016902,27293549,27326586,27337613,27390232,27409986,27760478,27861208,27885713,27951149,28003450,28049455,28060049,28161991,28342253,28426131,28537015,28601549,28644653,28709249,28802392,29183486,29267868,29287373,29307268,29308673,29500013,29563649,29606033,29715560,29977432,29986049,30018699,30237953,30277131,30398179,30446993,30501055,30681688,30814011,30906878,30924749,30974394,31062686,31172333,31343859,31439249,31661410,32110733,32211713,32303966,32402691,32531650,32602899,32813393,32893073,33052049,33078715,33190733,33228878,33309293,33430005,33479290,33545549,33604140,33604433,33659346,33702413,33724611,33726808,33780653,33805387,33839249,33995153,33995678,34189313,34228049,34244418,34459793,34516899,34842700,34895128,35091149,35223953,35381643,35425915,35518478,35601233,35658672,35669966,35713793,35788673,35844416,36057988,36123566,36132019,36274478,36390055,36601266,36726724,36768749,36896513,36994072,37061571,37168973,37226968,37277453,37367633,37797713,37942659,37993692,38504273,38583055,38812975,38818049,38870093,39037980,39215213,39257019,39262478,39386573,39410366,39420749,39625133,39660082,39694458,39726893,39797625,39845249,39946543,40016728,40070650,40116006,40131053,40175148,40324968,40629773,40646273,40734878,40881326,41137553,41408152,41435443,41618331,41640512,41653649,41765453,41811240,41871448,41880339,42003713,42177293,42364468,42450800,42474833,42511098,42565912,42645773,42772046,42800333,43108219,43213649,43289549,43350724,43425970,43490968,43516049,43593843,43636478,43668066,43839355,44067053,44228753,44298771,44331149,44360333,44560795,44598656,44664833,44837249,44937293,45018819,45263249,45338008,45365589,45403649,45445613,45456963,45640493,45654353,45723533,45774878,45861293,45992282,46194655,46299666,46304083,46337153,46339646,46495371,46575570,46584171,46621166,46697549,46790033,46845576,46950808,46986893,47037645,47065133,47105379,47130113,47378125,47411032,47439233,47658754,47756333,47757150,47819153,47856749,47880878,47886651,48084780,48204173,48228749,48293410,48330712,48375533,48677633,48927339,49033553,49127249,49213828,49266878,49416749,49451153,49474049,49622093,49680608,49708312,49780013,49792171,49817246,49947473,50173488,50503373,50578049,50608450,50631149,50893649,50908155,50940960,50976593,51005259,51048749,51083608,51186415,51290432,51373613,51389499,51473453,51532973,51617170,51670733,51770392,51826253,52102913,52111164,52227928,52299053,52409549,52536379,52607226,52609133,52668878,52701273,52819659,52840013,52913752,52918673,52927373,53005313,53031149,53283055,53302253,53337411,53472954,53508353,53532749,53556315,53573249,53788867,53827288,53835533,53866733,53890049,54028433,54137246,54253313,54302032,54337024,54372051,54377549,54511768,54534686,54591149,54612113,54674573,54722899,54797549,54967768,55074413,55118650,55207553,55246299,55267255,55282049,55433586,55551149,55637249,55760273,55818259,55850126,55868753,55884749,55890684,55921851,55979213,56040749,56076113,56150573,56179853,56344913,56399249,56414876,56445174,56592749,56621393,56657260,56781293,56807249,56853750,56877223,56889773,56964749,57021159,57060749,57066490,57076049,57111953,57126736,57129473,57172013,57196673,57202228,57238913,57261773,57274193,57308580,57324173,57346733,57379073,57436493,57469059,57480593,57493649,57526913,57538049,57571853,57572993,57586049,57603473,57613649,57628049,57635693,57642413,57644813,57647873,57650513,57651533,57653549,57701736,57952092,58053326,58241691,58360267,58463668,58565678,58693406,58756419,58778308,58837519,58896295,59193490,59527971,59566255,59899255,60109027,60555699,60644000,60726099,60730140,61089786,61129152,61177975,61217726,61324888,61325739,61423698,61476171,61583170,61772523,61838739,61940604,62037100,62211326,62627650,62790855,62793651,63357592,63560263,63846339,63939666,64024311,64034008,64049486,64267578,64292126,64339855,64701748,64778816,64914453,65570395,65627524,65703260,65764855,65776963,66142380,66148690,66320706,66568478,66976912,67075723,67158878,67276526,67601842,67628606,67968895,67988712,68224500,68434503,68479788,68528728,68770296,68990499,69354555,69609268,69630711,70056878,70512206,70551872,70675554,70957579,71032188,71127748,71277291,71303486,71479506,71685068,71879106,71880123,71882968,72038259,72106072,72292975,72310478,72337348,72772800,72876168,73123450,73413570,73443352,73525406,73775359,73853726,73899804,73978192,74157031,74444520,74614766,74778328,75051970,75153180,75222808,75349026,76118650,76154343,76487301,76512506,76750286,76776472,77094819,77195355,77207826,77366583,77588366,77624320,77692478,77906059,78175570,78307808,78316228,78548248,78674563,78684474,78843912,78917826,79370856,79378428,79407488,79643246,79740370,79792948,80087428,80095192,80163392,80248478,80414455,80592680,80653276,80675524,80868339,81109483,81119331,81198232,81245678,81483051,81555508,81562674,81869400,81985689,82228478,82341712,82518415,82623771,82859938,83179672,83225466,83371810,83750085,84125619,84263674,84470068,84625659,84717208,84997166,85094650,85571575,85611243,85813528,85923806,85959211,86050076,86345979,86373531,86750439,86751570,87016766,87327360,87345688,87466046,87510295,87748140,87782872,88096284,88177406,88353806,88366779,88423131,88654423,88656472,88699401,89017327,89092888,89292213,89333424,89572478,89658446,90062364,90107091,90183816,90212788,90290695,90666765,90762926,91264478,91342380,91348011,91678478,91924599,91972412,92103075,92414606,92535008,92634426,92760315,92858947,93149184,93167691,93226072,93577131,93598016,93603124,93639655,93810684,93861800,93967090,94086878,95306859,95339355,95545166,95561668,95688444,95860443,96069326,96253762,96256792,96365678,96396724,96497346,96540219,96574060,96711216,97168766,97222658,97431872,97767448,98198488,98243280,98263899,98413912,98755731,98791646,98944336,99022098,99134366,99571186,99608126,99711028,99738531,...,1540960090177773618441518049153938545171675948732591736871856862831429806645034863199188801849238594238744982466584673044212149178606584177607911731230805603454432621118694383525999749157752829620463204010946746289808853882307865871271669527756325688187036738086686317142157568395828081968077229392895969381128515232603581334273735005087810671398586055310776106371245981492960614135283264977079616009452287306913219052122361133281320158420726941078039959176940660455518050641861578716585416756308733520024366055617769130027029484028463347054684477465700856478038477718031629340611625916621463835474352115450815566027202657658163071761842191697718901096734631010761989427704156613583546586128064409448671107496846176482360293233839686516211307786406273942055680460211837403543503802410166696798893732544748510034528660434987657251230418715100293062272747028235768452604060421669776233903450627242666379929225942446415431242068912227559693253724695855797428453323778279435652921996684460691486428586322665164350294673454419019496589869594337453402300268398061389899510871541554483744841323682104527634675610037414333435757926433734541814659628818813151113822643199470841342453472396833382510665094427447579478753100831094138724652618174533150311066642134504342046870774794319946268126907397012025044774790629862115682420980062035551792317335746174311356861375611915437447877342664407891211262257405702933935720556206940487752992541702935312775556144193085702841852055722717303928910395014788156232795888720390367733204183335131724589461602171205098755696320456619623356065671672872077794380929968463275882121461307342490683074055918396971245244031249253289022266459032721127586718278051131884423591319571701521262535518053932654657407864726556037094792959292380244382081061355339971446099417065373473083679345253490051006719180336519122732953109829760594517904478326799786783163052664790464554689765340601919786325495932177953207826024161417874277766388311249484792482777754146241494839136356092888539538644863841500317396919603782261123363105025120008166924350075208089952297212876128873634978512030703510922442553255364472712055357361894646805425748681279681344258630068890924618517790159987377022584678761701562761680757524266722640384762017013541904631628243334058114903276556988288087597487932818846822095548496251779576080525442156235574635821791962436244866451511345411017825775713409359036234920104071814798809}
15187   610298865810821494963968237867419351940360805298982656298660413: {15187,500709,743477,1046109,1062110,1274532,1517300,1820760,1942144,2016413,2048355,2134317,2184912,2405829,2458026,2562209,2880590,3254885,3287333,3456708,3608318,3760149,3905862,4336046,4344893,4556237,4570149,4611905,4696190,4839717,5154740,5468789,5534286,5635428,5915829,6150494,6161573,6185688,6206990,6244973,6508910,6958899,7280897,7337924,7448388,7523517,7719677,7810692,7978253,8214785,8341589,8350853,8458229,8688638,8786420,8915693,8921390,9059102,9401693,9786254,9857742,9956198,10185717,10241357,10418369,10450749,10543704,10637093,10705668,10870517,11028110,11037208,11289677,11348405,11861667,11929790,12321518,12412340,12416859,13089189,13158197,13233732,13382117,13430990,13503053,13618086,14138517,14223140,14313926,14315748,14330849,14630510,14781975,14894808,14908085,14927054,14954669,15016358,15330788,15529310,15677333,15684004,15706029,15767440,15954398,16017062,16117188,16128110,16129646,16224833,16283189,16680974,16756659,17067768,17077709,17134397,17509013,17510955,17512244,17550197,17556612,17631086,17738370,17783949,17889702,18635172,18678352,18920928,19012097,19034798,19075629,19117310,19201239,19223573,19353732,19590789,19790849,20267213,20361909,20618517,20661557,20846375,21013146,21286044,21318878,21451940,21576806,22109213,22124609,22267718,22396190,22405720,22940772,23269985,23347877,23966453,24035237,24163358,24252206,24378557,24404068,24441717,24477710,24578405,24694869,24855377,25015650,25071710,25202093,25206435,25337789,25742328,25957389,26001115,26230253,26683360,26846477,26875428,26886864,26918309,27296324,27556166,27876446,27908033,27921749,27923982,27966189,28216317,28518206,28960119,29321813,29373252,29494086,29510957,29516510,29850164,29934424,30018780,30086052,30247722,30455540,30533237,30619013,30649697,31201338,31331918,31363864,31584590,31808909,32020032,32029892,32174318,32369813,32573597,32927709,32943653,33354110,33419109,33492206,33676227,33869894,34132829,34237790,34392389,34399317,34400078,34826510,34902062,35014637,35284347,35419812,35518253,35679509,36002990,36022536,36232133,36435448,36546648,36584835,36634085,36637517,36834717,36923573,37077069,37144450,37202789,37245173,37390757,37441646,37471790,37651493,37802829,37901508,38054597,38352110,38782829,39023824,39125693,39562709,39670757,40024932,40069697,40207989,40369508,40525353,40722977,40989879,41081957,41085348,41114979,41299192,41484653,41640717,41791812,42005175,42158510,42289373,42366593,42373406,43083773,43203588,43342949,43436837,43470532,43494773,43553375,43618910,43775229,43901802,43960902,44021798,44108597,44573340,44698157,44805520,44879128,44966148,45072485,45113489,45299093,45659224,45699437,45834638,45908405,46017869,46022532,46242590,46299533,46360317,46461591,46533710,46594029,47098877,47175524,47464877,47492115,47514278,47544896,47571782,47697797,48064229,48096797,48455949,48693749,48731009,48797475,48801688,49287206,49415428,49595873,49621886,49843317,49985894,50020910,50212613,50218935,50406210,50489019,50590212,50658256,50990414,50993517,51366627,51760190,51868718,52050640,52140149,52264050,52339310,52342692,52521278,52925944,52955585,53063500,53207390,53246126,53277717,53488008,53504949,53566864,53644097,53659277,53752709,53766624,54025217,54086982,54185349,54188405,54363710,54411717,54783989,54791918,54811622,54901899,55090086,55359173,55437893,55491108,55748320,55840452,55921493,56029757,56597789,56664077,56672510,56681464,56920853,56990538,58125124,58224088,58271009,58556970,58604798,58688510,58893717,59065028,59115549,59263790,59334197,59490123,59536133,59541687,59962613,59962637,60025092,60105975,60174009,60262722,60413390,60487452,60609284,61102317,61164113,61321989,61517285,61688693,61708862,61732888,61993828,62100760,62112228,62135390,62374229,62460768,62716860,62807172,62897597,62958566,63092813,63546702,63676200,63766647,63848868,63854510,63861422,63869429,64113040,64158069,64262933,64539893,64637582,64708253,64712990,64730918,64999589,65026086,65138955,65236452,65284910,65431037,65454717,65502099,65585486,65819957,66142190,66395366,66436733,66672038,66884597,66897984,67031009,67179413,67284110,67572917,67792589,67877540,67921280,68007012,68013569,68139710,68519332,68662317,68709710,68729717,68988423,69082814,69449499,69481552,69509469,69863355,69931749,69973406,70014398,70083293,70142968,70268364,70426212,70518595,70821575,71048453,71116548,71164973,71297272,71408420,71488131,71502785,71621357,71635725,71821317,72048998,72127170,72440115,72496068,72561422,72782213,73035629,73079585,73349606,73472885,73661732,73820742,73900317,73911448,74127557,74520912,74562468,74645318,74725869,74933309,75086837,75260232,75445166,75475742,75805000,75912675,76028212,76100897,76411440,76427477,76531142,76625412,76656110,76704653,76810013,76935648,77003813,77097278,77269456,77425755,77546375,77574413,77655588,77956277,78166746,78341892,78371333,78910839,79003317,79196990,79214558,79370628,79481693,80042510,80209431,80353829,80740932,80743169,80877185,80968132,80973520,81205869,81453048,81505536,81572813,81767652,81802029,81898264,81968228,82007837,82034405,82054229,82129075,82363364,82404806,82451652,82587472,82677975,82718189,82833038,82977089,83150379,83721140,83724868,83775189,83836026,84224693,84298709,84568229,84622314,84667761,84835829,84985890,85026254,85128452,85252888,85280625,85365748,85546517,85599735,85660910,85690104,85803342,85923677,85962870,86022413,86112173,86451518,86552604,86576294,86928138,87011585,87079989,87433697,87695502,87755006,87806117,87848517,87932993,88022693,88040109,88167462,88175009,88189840,88333819,88427608,88745237,88790235,88909685,88983398,89447573,89606335,89612597,89629853,89853710,89926622,90132590,90421685,90500462,90576806,90651616,90782318,90966000,91072829,91095210,91246004,91306384,91460693,91634679,91693728,91804190,91826589,91987332,92135547,92269733,92374755,92472740,92579957,92674253,92711366,92840948,92910906,93055650,93316989,93419837,93472910,93721589,93827777,93941475,94028510,94234072,94261886,94266542,94709584,94845077,94962893,94983518,95036388,95306008,95838808,95840164,95909499,95970590,96051012,96074229,96401367,96438189,97030400,97052622,97168224,97689557,97714853,97884760,97895285,98185310,98198309,98441286,98533072,98554890,98571494,99118613,99143489,99213570,99223035,99244769,99259360,99481059,99741185,99848033,99852717,...,2054613453570364824588690732205251393562234598310122315829142483775239742193379817598918402465651458984993309955446230725616198904808778903477215641641074137939243494824925844701332998877003772827284272014595661719745138509743821161695559370341767584249382317448915089522876757861104109290769639190527959174838020310138108445698313340117080895198114740414368141828327975323947485513711019969439488012603049742550958736163148177708426877894302588104053278902587547274024067522482104955447222341744978026699154740823692173369372645371284462739579303287601141970717970290708839120815501222161951780632469487267754088036270210210884095682456255596958534795646174681015985903605542151444728781504085879264894809995794901976480390978452915354948410381875031922740907280282449871391338403213555595731858310059664680046038213913316876334973891620133724083030329370981024603472080562226368311871267502990221839905634589928553908322758549636746257671632927807729904604431704372580870562662245947588648571448430220219133726231272558692662119826125783271203067024530748519866014495388739311659788431576139370179567480049885777914343901911646055752879505091750868151763524265961121789937963195777843347553459236596772638337467774792184966203490899377533748088856179339122729161033059093261690835876529349366726366387506482820909894640082714069056423114328232415142481834149220583263836456885877188281683009874270578580960741609253983670656722270580417034074858924114270455802740963623071905213860019717541643727851627187156977605577780175632785948802894940131674261760608826164474754228897162770392507906624617701176161948409789987577432074557862628326992041665671052029688612043628170115624370734842512564788426095602028350047357405243539543210486302074716126390612389840325842774748473786628594799222753831297444905793671320068008958907115358830310604146439680792690539304435733049044217403553053952739586353787469226381767327909570604277101365548557165703688517748332646389977037005528321993118848474790518052718193151788667089862559471709681497817473366826677555899133433610786603062950501505164846638016040938014563256737673819296949407143149192862407234331575039575125678173425187899491357053546649836030112905015602083682241010032355630187179682689351389206175504324445410819871035409317717450129983910425129096127397995002372768107367256208314099514429055949914993155268681793881357101034284545812048313226805429086398412}
15188   613044952149654840131143888324596295347308730710337686851959660: {394498,667612,1013107,1121026,1394812,1423066,1463827,1593165,1699376,1896625,1911798,1912747,2275950,2359867,2386906,2427680,2731140,2845756,2913216,3107098,3207772,3277368,3286786,3406498,3602227,3687039,4320885,4608944,5004787,5013532,5185062,5194498,5207816,5412477,5439307,5858793,6044611,6093532,6216907,6443425,6452956,6504069,6732067,6850306,7044285,7144666,7379048,7513904,7673506,7732110,7849498,7887772,8247584,8301429,8453142,9135706,9172405,9185467,9225741,9278532,9310485,9426946,9657557,9763365,9931184,10031356,10265611,10414256,10513147,10645786,10677811,10842187,10924267,10983025,11006886,11050498,11088211,11172582,11333587,11512066,11716038,12374746,12776098,12947866,12952867,13032957,13143656,13179630,13233826,13353187,13382085,13580956,13588653,13633498,13751707,13796510,13934332,14058272,14069227,14274224,14316826,14679381,14700811,14771098,14786613,14934297,15515425,15717307,15815556,16015066,16058502,16296706,16343558,16542165,16555812,17307298,17452252,17644976,17778925,17894685,18157448,18482277,18618510,18702298,18851356,18980098,19067467,19087664,19163485,19290811,19605005,19661611,19709300,19811098,19850598,19859744,20030611,20146485,20427129,20941372,21334710,21352666,21470889,21473622,21489584,21704827,21890305,21945765,21992107,22342212,22390581,22524537,22757024,22936066,22996182,23293965,23347940,23408816,23481427,23526006,23651160,23711932,23831347,23852936,23931597,23970811,24025593,24074266,24175782,24192165,24194469,24613786,24721498,24801547,24846896,25007611,25021461,25227904,25259098,25434172,25601652,25804976,26121052,26192621,26268366,26334918,26446629,26498947,26565907,26607555,26699611,26702626,26814925,26834553,27149212,27363811,27443381,27491356,27952758,28007150,28017528,28346611,28381392,28552197,28609186,28675965,28714498,28799707,29030598,29240098,29313211,29440867,30137827,30505085,30576811,30587696,31067098,31161493,31382707,31519719,31740706,31881017,31929066,31978317,32177910,32236987,32360098,32365209,32588956,32926492,33196027,33233626,33282353,33354200,33401577,33432907,33491947,33594285,33608580,34020067,34120405,34145846,34153498,34323104,34368907,34411158,34609852,34657627,35512987,35574106,35675098,35833904,35849152,36136793,36179098,36245037,36279706,36378309,36606102,36716565,36781786,37231976,37283611,37288252,37312705,37418030,37523475,37607565,37621756,38069425,38194267,38510707,38613492,38615611,39164336,39169498,39204830,39238987,39268186,39269237,39317506,39325448,39750547,39951821,40025040,40037365,40114736,40313142,40330296,40554067,40653211,40789666,40887298,40899811,40944486,40997947,41033626,41334249,41484307,41601784,41814669,41885973,42010987,42344098,42435427,42482227,42488986,42681946,42693376,42701477,42777309,43690786,43852747,43903612,43929946,43941811,44059878,44241129,44251267,44274765,44325974,44558812,44775246,44901636,44945347,44977498,45028170,45129078,45158467,45371583,45544310,45662611,45683310,45828826,45865756,46064386,46156387,46310201,46359067,46393498,46798627,46802007,46871006,46995547,46997877,47045796,47190667,47226416,47376885,47888026,47934466,48030048,48044838,48261477,48396811,48469747,48650827,48728864,48779780,48830107,49042867,49112956,49274266,49436092,49460611,49596281,49631611,49800811,49870498,49961986,50031165,50034667,50236066,50238309,50403772,50461885,50535344,50804841,50946077,50996947,51333547,51356685,51543211,51600117,51623990,51836611,52239765,52318867,52353093,52721626,52811098,52885867,52938211,53067811,53115733,53129718,53346586,53366576,53396347,53519467,53568211,53610652,53613466,53854627,54004485,54016277,54033804,54264811,54338165,54418027,54587098,54588811,54630787,54653172,54675226,54693211,54780464,54819972,55150267,55244587,55373611,55499107,55520956,55716675,55722416,55771426,55772707,55854427,55902298,55996987,56006900,56098910,56120098,56162469,56163307,56207685,56306947,56323982,56362387,56403211,56430067,56572627,56684506,56694667,56798347,56852262,57074030,57146107,57203098,57275707,57289306,57312427,57347347,57418498,57452611,57494947,57528165,57541387,57587611,57594307,57604784,57657811,57661267,57666811,58366972,58535736,58574746,58614536,58617346,58845293,58969405,59000026,59127298,59212066,59431120,59954864,59972098,60037398,60116969,60475906,60554262,60796358,60893986,61002110,61363376,61375097,61628022,61769285,61813756,61849498,61948788,62125372,62344666,62385113,62687718,62878498,63237765,63322820,63560109,63568661,64221466,64423426,64607932,64672517,64805382,65063300,65104237,65205798,65428365,65626786,65786146,65852703,65941353,66032697,66104098,66157430,66329375,66381466,66457756,66618586,66860010,66958580,67091098,67208280,67208866,67318692,67404826,67449222,67453616,67561306,67610774,67678498,67990306,67991356,68378626,68456098,68488836,68751957,68919586,69033798,69363885,69685400,69790256,69800565,70182298,70447906,70763286,70851830,71036956,71037941,71202466,71271417,71317344,71339932,71357673,71427586,71577346,71660981,71688832,72115976,72247132,72264038,72548956,72656405,72780110,73202532,73453448,73537498,73793026,73831285,73930809,73988144,74123142,74337946,74368081,74432829,74453936,74554906,74596277,74735266,74978841,75031365,75595426,75609315,75761605,75885318,75987384,76485621,77008546,77166110,77374157,77492285,77625950,77636098,77640285,77740186,77803077,78075960,78396075,78430426,78508965,78514038,78524956,78773146,78781917,78820732,78841498,79250266,79271309,79320164,79388916,79453786,79595250,79690498,79811085,79869189,79893086,80033456,80141300,80232012,80262106,80350296,80649936,81130473,81259546,81292546,81469756,81545565,81762652,82055413,82187877,82217433,82275106,82454813,82635129,82816304,82870886,83236662,83281024,83307298,83392757,83530906,83622480,83742896,83760678,83858957,84007426,84354586,84728936,84846925,84901600,84949666,85008765,85022196,85131824,85291546,85485807,85544092,85600666,85649165,86216438,86427298,86579098,86701448,86851940,86981936,87032098,87187686,87272956,87336132,87678710,87835455,87907197,88032765,88047289,88134106,88457506,88597542,88662298,88720666,88895685,89121590,89197312,89260525,89329666,89674498,89874586,90037638,90075797,90394083,90526498,90620085,90676016,90731178,90807298,90891226,90913926,91280986,91308706,91447066,91549756,91722586,91798553,91984564,92070797,92077165,92389310,92563293,92599332,92608166,92674306,92679292,92979029,92990742,93151140,93168342,93203085,93242332,93395098,93580066,93691152,93901616,93973786,94075290,94130266,94210758,94260226,94437849,94756250,94822064,94878466,95035265,95156453,95317508,95320053,95512666,95514300,95638306,95713498,95761756,95773302,95781765,95792133,96169560,96408346,96457498,96586820,96661424,96751066,96956373,97069485,97096377,97355266,97539129,97854678,97927365,98067106,98254498,98378229,98427656,98533756,98833498,98902306,98948098,99213285,99244186,99361216,99416624,99560026,99584342,99593049,99634492,99894946,...,3081920180355547236883036098307877090343351897465183473743713725662859613290069726398377603698477188477489964933169346088424298357213168355215823462461611206908865242237388767051999498315505659240926408021893492579617707764615731742543339055512651376374073476173372634284315136791656163936154458785791938762257030465207162668547470010175621342797172110621552212742491962985921228270566529954159232018904574613826438104244722266562640316841453882156079918353881320911036101283723157433170833512617467040048732111235538260054058968056926694109368954931401712956076955436063258681223251833242927670948704230901631132054405315316326143523684383395437802193469262021523978855408313227167093172256128818897342214993692352964720586467679373032422615572812547884111360920423674807087007604820333393597787465089497020069057320869975314502460837430200586124545494056471536905208120843339552467806901254485332759858451884892830862484137824455119386507449391711594856906647556558871305843993368921382972857172645330328700589346908838038993179739188674906804600536796122779799021743083108967489682647364209055269351220074828666871515852867469083629319257637626302227645286398941682684906944793666765021330188854895158957506201662188277449305236349066300622133284269008684093741549588639892536253814794024050089549581259724231364841960124071103584634671492348622713722751223830874895754685328815782422524514811405867871441112413880975505985083405870625551112288386171405683704111445434607857820790029576312465591777440780735466408366670263449178923204342410197511392640913239246712131343345744155588761859936926551764242922614684981366148111836793942490488062498506578044532918065442255173436556102263768847182639143403042525071036107865309314815729453112074189585918584760488764162122710679942892198834130746946167358690506980102013438360673038245465906219659521189035808956653599573566326105329580929109379530681203839572650991864355906415652048322835748555532776622498969584965555508292482989678272712185777079077289727683000634793839207564522246726210050240016333848700150416179904594425752257747269957024061407021844885106510728945424110714723789293610851497362559362688517260137781849237035580319974754045169357523403125523361515048533445280769524034027083809263256486668116229806553113976576175194975865637693644191096992503559152161050884312471149271643583924872489732903022690822035651551426818718072469840208143629597618}
15189   615803296021665899278763466205832803456402783356117870023373822: {30374,591747,834515,1001418,1486954,1681539,1743515,2092218,2124220,2134599,2549064,2835107,2867697,3034600,3413925,3557195,3580359,3641520,3884288,4009715,4032826,4096710,4268634,4369824,4556839,4660647,4811658,4832531,4916052,4930179,5109747,5124418,5761180,5923259,6266915,6456667,6509770,6574666,6826787,6913416,7216636,7281859,7520298,7616915,7777593,7791747,7811724,7822727,8066195,8672092,8689786,8916871,9112474,9140298,9223810,9392380,9679434,9859715,10096379,10275459,10309480,10546307,10716999,10937578,11068572,11270856,11500699,11510259,11598165,11774247,11798567,11831658,12300988,12323146,12371376,12413980,12489946,12539195,12679713,12725171,13017820,13703559,13917798,14140419,14561794,14675848,14896776,15047034,15439354,15621384,15887767,15956506,15968679,16429570,16510329,16575747,16683178,16701706,16750547,16758873,16916458,16976195,17268099,17343787,17377276,17417915,17572840,17574057,17831386,17842780,18118204,18226907,18562119,18803386,19164147,19421799,19572508,19715484,19769445,19850739,19912396,20182747,20371434,20450247,20482714,20500199,20694765,20836738,20871319,20901498,21087408,21274186,21411336,21475239,21741034,21815315,22056220,22074416,22156647,22579354,22651591,22696810,22820579,23219459,23564195,23723334,23859580,24022599,24087753,24445059,24515337,24636625,24643036,24824680,24833718,25394867,25837811,25960947,26176715,26178378,26316394,26467464,26764234,26861980,27006106,27236172,27779539,27927765,28053447,28277034,28446280,28470147,28627852,28631496,28661698,28793447,29099627,29184925,29261020,29563950,29639915,29716647,29775897,29789616,29816170,29854108,29909338,30032716,30661576,30862619,31058620,31191331,31344007,31354666,31368008,31412058,31534880,31792715,31812547,31908796,32002065,32028999,32034124,32210433,32234376,32256220,32259292,32449666,32566378,32577979,32651315,33361948,33513318,33936515,34060387,34135536,34155418,34268794,34364195,34404099,34409767,34494273,35018026,35021910,35024488,35100394,35113224,35262172,35289009,35476740,35567898,35779404,36111399,36263673,36290339,36401561,36920679,37082247,37270344,37332647,37356704,37592347,37841856,37888647,38024194,38069596,38151258,38234620,38402478,38447146,38707464,39122747,39181578,39274631,39402549,39502377,39581698,39696871,40053939,40534426,40723818,40736195,41158115,41237034,41323114,41692750,41825159,41929137,42010725,42026292,42368147,42572088,42637756,42903880,42913779,43071747,43153612,43262315,43545897,43860147,43889147,44058379,44218426,44249218,44497219,44535436,44783779,44792380,44811440,45288427,45881544,46046627,46539970,46600647,46610315,46695754,46709459,47027195,47145779,47314147,47611059,47893599,47932906,48070474,48266865,48326716,48504412,48540147,48757114,48808136,48883434,48955420,49156810,49389738,49710754,49850439,50031300,50143420,50404186,50412870,50675578,50860007,51218769,51230247,51287719,51463259,51484656,51616737,51914778,52002230,52460506,53361159,53366720,53512647,53692954,53750856,53773728,53836618,54268647,54419559,54592648,54879515,54909153,55112332,55172679,55698515,55752892,55816066,55843498,55847964,55932378,56127045,56432634,56609927,57036412,57332195,57920238,58643626,58746504,58754247,58807245,58902279,58976259,58988172,59021914,59033020,59173379,59177047,59342179,59700328,59868848,60037560,60172104,60469713,60495444,60911080,60974725,61066474,61184499,61238026,61299394,61330947,61391195,61416729,61550439,61554307,61795115,62402676,62663836,62727728,62966699,63004715,63101479,63169180,63330439,63516147,63617818,63733479,64022919,64040064,64059784,64271767,64348636,64739626,65147194,65536179,65855418,65887306,65894919,66089817,66218147,66488961,66708220,66838218,66984412,67013315,67162869,67270099,67352454,67466247,67542255,67693617,67739788,67824539,68024231,68265658,68316465,68359891,68475580,68524965,68743239,68784778,68798634,68800156,69096579,69401195,69590247,69653020,69804124,69915527,70008625,70029274,70306509,70568694,70839624,71036506,71134307,71359018,71832039,71901699,72005980,72045072,72067257,72464266,72870896,72904819,72958715,73093296,73169670,73268170,73275034,73669434,73847146,73911399,74112299,74137819,74154138,74288900,74405578,74490346,74629907,74781514,74805747,74883292,74942979,74943580,75302986,75354099,75605658,75803016,75863767,76109194,76274419,76704220,77211859,77267195,77435985,77449031,77565658,77656715,77996519,78047648,78251386,78516139,79082439,79125418,79153525,79216647,79341514,79694577,80019879,80047399,80049864,80139394,80415978,80420199,80656307,80739016,80759915,81050706,81329125,81445954,81880647,81979758,82012839,82131731,82163914,82170696,82229958,82598384,82913291,82969306,83072195,83281434,83583624,83657139,83698225,83853447,83999267,84010350,84104059,84148365,84180147,84317020,84485973,84578746,84733186,84746812,84989195,85026759,85278393,85611045,85804647,85933959,86124199,86127747,86167546,86407176,86685898,86873674,86941064,86989546,87106750,87237820,87550458,87803604,87862119,87921804,87926019,88043596,88217194,88500039,88557547,88690947,88796195,88818099,88938427,89146680,89174915,89396314,89582867,89611040,89758256,89932296,89958147,90056097,90144970,90226978,90308915,90403739,90598186,90686195,90713859,90831393,91194537,91318448,91340979,91398874,91503165,91669276,91816810,92035738,92045064,92167739,92442033,92485180,92599066,92720634,92774247,92923182,93067420,93188058,93516999,93808471,94031577,94197754,94214087,94317747,94351048,94929754,94984230,95028556,95089792,95143564,95395594,96128458,96193594,96332199,96635139,96911898,97208073,97387498,97462018,97594950,97603376,97759979,97768327,97808697,98156195,98278051,98440179,98525915,98574412,98679219,98726033,98825507,98830856,99150205,99156147,99191746,99236145,99243772,99572199,99625747,99686634,99927879,99971788,...,4622880270533320855324554147461815635515027846197775210615570588494289419935104589597566405547715782716234947399754019132636447535819752532823735193692416810363297863356083150577999247473258488861389612032840238869426561646923597613815008583268977064561110214260058951426472705187484245904231688178687908143385545697810744002821205015263432014195758165932328319113737944478881842405849794931238848028356861920739657156367083399843960475262180823234119877530821981366554151925584736149756250268926200560073098166853307390081088452085390041164053432397102569434115433154094888021834877749864391506423056346352446698081607972974489215285526575093156703290203893032285968283112469840750639758384193228346013322490538529447080879701519059548633923359218821826167041380635512210630511407230500090396681197634245530103585981304962971753691256145300879186818241084707305357812181265009328701710351881727999139787677827339246293726206736682679079761174087567392285359971334838306958765990053382074459285758967995493050884020363257058489769608783012360206900805194184169698532614624663451234523971046313582904026830112243000307273779301203625443978886456439453341467929598412524027360417190500147531995283282342738436259302493282416173957854523599450933199926403513026140612324382959838804380722191036075134324371889586347047262940186106655376952007238522934070584126835746312343632027993223673633786772217108801807161668620821463258977625108805938326668432579257108525556167168151911786731185044364468698387666161171103199612550005395173768384806513615296267088961369858870068197015018616233383142789905389827646364383922027472049222167755190913735732093747759867066799377098163382760154834153395653270773958715104563787606554161797963972223594179668111284378877877140733146243184066019914338298251196120419251038035760470153020157541009557368198859329489281783553713434980399360349489157994371393664069296021805759358976487796533859623478072484253622833299164933748454377448333262438724484517409068278665618615934591524500952190758811346783370089315075360024500773050225624269856891638628386620904935536092110532767327659766093418136166072085683940416277246043839044032775890206672773855553370479962131067754036285104688285042272572800167921154286051040625713894884730002174344709829670964864262792463798456540466286645488755338728241576326468706723907465375887308734599354534036233053477327140228077108704760312215444396427}
15190   618573951702547157684802429296555877552894596647702296264556704: {45561,257941,439669,621109,788996,802261,892729,1253881,1335224,1343989,1502127,1613881,1703701,2026214,2062261,2230431,2242052,2597941,2655275,2789624,2846132,2927654,3138327,3186330,3398752,3484981,3573289,3749689,3793250,3823596,3825494,4364821,4551900,4627369,4719734,4773812,4855360,5150521,5324329,5462280,5691512,5826432,6049239,6145065,6189049,6214196,6361129,6402951,6415544,6532921,6554736,6573572,6618709,6812996,6875641,7201475,7204454,7217209,7217487,7374078,7642549,7686627,8150581,8235001,8319349,8641770,8740009,9020795,9217888,9325909,9409321,9492661,9764655,9861999,10009574,10027064,10156789,10370124,10388996,10415632,10734121,10824954,10840115,10878614,11280447,11717586,11740475,11796949,12089222,12187064,12364201,12433814,12686761,12841367,12886850,12905912,13008138,13034679,13408309,13464134,13488121,13668711,13700612,13710447,13835715,13965481,14088570,14289332,14361301,14519151,14597929,14758096,15027808,15347012,15376235,15464220,15517475,15537961,15615829,15698996,15775544,16272275,16406367,16495168,16544629,16602858,16698421,16906284,17081641,17539129,17747487,17766901,17842681,17918389,18145081,18271412,18344810,18370934,18451482,18484719,18557064,18620970,18734919,18821269,18853892,19315114,19417429,19526730,19639801,19713781,19787689,19862368,20062712,20303029,20449621,20522809,20531222,20668969,20828512,20876697,21026294,21291572,21355622,21395449,21684374,21721595,21842691,21848534,21899701,21966050,22013772,22100996,22176422,22186261,22303475,22345164,22542841,22570551,22647755,22667174,23024132,23159031,23180149,23320981,23432076,23934759,24368041,24465635,24644355,24749492,24890495,24988501,25024767,25052559,25374687,25552196,25603129,25806709,25895732,25905734,26065914,26077141,26287312,26359260,26413561,26467652,26681401,26706374,26747079,26764170,26814889,26828879,27081001,27147349,27161912,27177306,27266996,27279829,27345961,27447007,27503414,27570275,27593020,27868664,27937909,28068661,28116544,28138454,28205079,28548448,28633652,28653481,28975861,29296441,29358762,29360341,29401622,29542196,29573226,29615221,29824475,29868594,30498229,30557151,30646427,30685609,30724071,30803795,31030850,31182121,31255107,31352247,31434614,31490101,31631112,31911279,32030132,32039929,32117004,32161321,32221909,32523769,32593412,32611551,32687116,32943349,33084330,33111624,33359401,33577475,33595561,33654421,33713209,33830569,33869031,34045215,34239061,34470901,34586389,34614596,34827551,34904504,35102521,35273269,35289952,35557850,35585001,35725429,35784815,35789370,35893801,36005689,36228601,36314896,36576275,36827219,36945109,36964554,37237020,37250577,37317635,37325881,37379989,37404596,37540895,37649449,37702712,37960196,38134934,38175328,38326970,38394361,38447029,38552149,38581622,38813689,38823275,38865781,39210010,39267567,39323222,39418600,39434041,39474591,39622196,39701196,39719488,39740329,39885995,39993589,40042655,40061222,40144681,40146351,40194901,40292970,40320275,40324115,40509159,40841209,40854258,41184181,41378581,41668021,41702435,41882744,42286249,42415551,42520789,42660649,42669420,42705332,42707119,42941778,42947244,42979168,42992547,43030441,43122169,43259221,43409654,43440949,43780610,43891530,43984214,44077715,44112169,44156341,44244469,44345925,44376121,44684424,44724255,44781162,44853301,44864007,44896249,45049074,45279541,45514048,45698581,45872132,45992364,46232569,46273141,46434709,46515061,46587930,46695880,46817632,46962854,47031999,47052012,47069461,47118087,47302320,47418409,47423864,47533429,47586995,47662694,47705872,47768567,47793275,47799289,47836981,47863194,47941622,47987029,48051186,48148532,48246841,48351564,48384330,48388938,48611881,48674499,48849567,49227572,49250809,49320361,49442996,49492981,49603094,49693792,49866409,50015222,50042922,50269977,50296501,50361589,50455808,50518196,50523049,50587129,50619061,50650921,50777641,50868344,50996629,51058549,51150889,51203304,51212089,51233127,51393961,51403191,51454009,51609952,51720661,52236469,52237787,52242104,52385242,52430761,52527039,52532865,52536732,52567381,52648489,52650591,52669836,52808761,52861609,52893258,52997894,53044309,53122751,53131814,53172649,53215110,53297195,53299189,53351847,53399222,53405252,53629850,53669106,53858089,53904889,53928181,53942015,53974549,54066421,54134569,54157141,54298424,54508501,54635509,54698041,54727622,54739369,54800821,54886762,54982712,55079029,55098361,55231669,55306261,55540729,55669295,55796149,55893781,55905516,55990475,56014300,56035056,56052311,56066041,56081269,56141461,56156329,56370709,56465209,56530549,56619001,56655829,56693222,56762784,56778887,56796661,56863189,56988469,57036291,57056761,57094201,57104394,57199609,57218372,57224341,57226887,57264121,57279529,57294649,57351930,57352249,57379321,57417769,57428996,57441961,57447829,57459349,57486889,57567061,57586681,57599414,57601081,57603717,57623509,57657781,57670719,57672361,57674809,57677941,57681109,57681721,57683881,58061196,58480196,58626422,58772367,58881734,59372547,60275654,60408395,60630515,60801639,61010170,61085727,61153622,61175392,61194275,61855551,61984671,62134196,62322986,62539125,62679275,62765414,62773139,63039438,63481412,63762034,63858132,63956634,64355820,64473974,64720196,64730418,65112839,65177912,65852984,66327639,66373827,66392054,66467252,66564706,66708400,66803154,66865814,66983894,67188570,67217160,67741487,68040134,68240810,68291692,68306996,68646208,68737814,68822316,68890415,69219704,69315254,69691115,69809955,70043631,70646639,71025974,71047327,71148212,71295515,71350196,71667808,71698304,71899359,72105711,72273586,72358196,72490074,72559412,72756618,72763559,73135671,73212204,73325151,73433130,73563572,73735215,73791275,74084607,74377907,74463952,74566131,74567222,74576504,74625410,74836060,75046950,75215130,75243512,75606279,75619305,76013367,76073431,76138850,76388534,76941371,77021414,77226984,77231222,77872167,78003345,78328672,78329795,78338996,78409660,78477974,78536372,78538474,78635012,78650896,78690759,78961475,79501094,79903642,80050080,80074730,80229472,80435795,80539431,80626284,80660592,80754927,81108134,81306422,81579332,81774596,81799622,81888972,81995894,82067252,82557167,82668498,82968614,83117267,83203568,83385275,83629338,83724099,83730515,83765247,83771946,83898567,84021974,84648951,84674735,84688196,84870854,84964454,84977972,85363892,85386752,85402954,85554618,85594475,85993127,86000195,86476999,86880357,87066275,87255155,87381572,87705494,87714407,87807224,87859892,87883622,87965439,88119756,88482258,88502534,88532871,88549530,88651948,89117624,89550492,89803272,89890694,89954996,90007475,90056340,90258156,90316934,90743166,91088620,91325222,91366620,91599711,91657652,91708991,91731512,91857039,91949091,92128772,92312774,92620402,92718134,92786996,92861125,93597254,93604014,93604115,93679475,93742012,93991094,93995754,94091592,94381334,94452832,94753770,95426727,95776052,95868932,95880275,96060096,96089676,96522954,96793622,96939494,96974579,97109439,97301654,97457728,97559560,97660214,97720791,98085734,98225912,98548532,98783127,98830959,98872184,98921222,99192562,99263222,99601622,99740996,99923972,...,6163840360711094473766072196615754180686703794930366947487427451325719226580139452796755207396954376954979929866338692176848596714426336710431646924923222413817730484474777534103998996631011318481852816043786985159235415529231463485086678111025302752748146952346745268568630273583312327872308917571583877524514060930414325337094940020351242685594344221243104425484983925971842456541133059908318464037809149227652876208489444533125280633682907764312159836707762641822072202567446314866341667025234934080097464222471076520108117936113853388218737909862803425912153910872126517362446503666485855341897408461803262264108810630632652287047368766790875604386938524043047957710816626454334186344512257637794684429987384705929441172935358746064845231145625095768222721840847349614174015209640666787195574930178994040138114641739950629004921674860401172249090988112943073810416241686679104935613802508970665519716903769785661724968275648910238773014898783423189713813295113117742611687986737842765945714345290660657401178693817676077986359478377349813609201073592245559598043486166217934979365294728418110538702440149657333743031705734938167258638515275252604455290572797883365369813889587333530042660377709790317915012403324376554898610472698132601244266568538017368187483099177279785072507629588048100179099162519448462729683920248142207169269342984697245427445502447661749791509370657631564845049029622811735742882224827761951011970166811741251102224576772342811367408222890869215715641580059152624931183554881561470932816733340526898357846408684820395022785281826478493424262686691488311177523719873853103528485845229369962732296223673587884980976124997013156089065836130884510346873112204527537694365278286806085050142072215730618629631458906224148379171837169520977528324245421359885784397668261493892334717381013960204026876721346076490931812439319042378071617913307199147132652210659161858218759061362407679145301983728711812831304096645671497111065553244997939169931111016584965979356545424371554158154579455366001269587678415129044493452420100480032667697400300832359809188851504515494539914048122814043689770213021457890848221429447578587221702994725118725377034520275563698474071160639949508090338715046806251046723030097066890561539048068054167618526512973336232459613106227953152350389951731275387288382193985007118304322101768624942298543287167849744979465806045381644071303102853637436144939680416287259195236}
15191   621356973706397220874357323025704908158256939182465683920593313: {60748,986245,1168321,1183494,1669030,2002836,2440921,2802565,2973908,3039321,3168649,3350581,3363078,3487030,3557665,4184436,4248440,4269198,4391481,4779495,4980073,5098128,5165809,5613601,5670214,5689875,5711173,5735394,5738241,5967265,6069200,6620113,6827689,6827850,7079601,7114390,7159801,7160718,7283040,7767745,7768576,8019430,8065652,8068021,8193420,8216965,8516245,8537268,8739648,8773681,9113678,9245041,9321294,9521173,9623316,9665062,9813529,9832104,9860358,10097713,10219494,10248836,10663681,10792681,10806681,11060761,11061117,11292673,11522360,11787049,11846518,12130921,12533830,12876481,12913334,12962655,12986245,13019540,13122769,13149332,13602769,13624021,13653574,13803601,13826832,13943761,14433272,14563718,14774089,15014361,15040596,15233830,15555186,15583494,15623448,15645454,16093561,16132390,16237431,16317921,16345801,17082241,17125765,17206873,17344184,17379572,17554873,17576379,17740921,17833742,17861665,17978869,18133833,18224948,18280596,18447620,18650721,18740341,18784760,19183765,19330275,19358868,19512207,19623745,19719430,19796101,20192758,20196201,20371249,20550918,20618960,21029041,21092614,21132855,21195121,21293401,21433998,21875156,22137144,22541712,22839265,23001398,23020518,23196330,23270641,23548494,23567365,23597134,23663316,23766673,24385081,24601976,24635809,24646292,24742752,24820801,24827960,24861973,24904287,24979892,25078390,25359426,25450342,25505353,25880341,26035640,26271073,26614465,26633641,26713669,26925481,27407118,27517215,27556401,27578881,27619729,27626245,27677223,27835596,27931455,28280838,28780165,28932181,28972671,29123588,29290095,29351696,29613061,29793552,30094068,30519121,30541441,30796833,30878708,30936865,31072369,31242768,31539441,31775534,31913012,31937358,31940245,32033433,32369665,32468161,32526561,32772801,32859140,32949075,32989873,33020658,33084565,33151494,33264633,33366356,33403412,33501094,33517746,33832916,33952390,34000761,34083745,34491275,34536198,34555153,34687574,34743049,34754552,34835830,35145680,35148114,35662772,35685560,35792065,36236408,36453814,36505129,36647401,36689521,36927745,37065121,37124238,37591681,37606772,37661569,38309161,38328294,38793121,38843598,38858601,38903413,39098871,39145016,39430968,39538890,39603289,39623041,39701478,39824792,40037665,40059561,40080373,40146255,40365494,40741765,40742868,40765959,40858895,40900494,40965428,41000398,41218969,41255121,41389530,41433001,41495881,41673476,41742638,41802996,42174816,42187321,42207681,42548372,42822672,42950478,43242961,43268245,43482068,43630630,44038143,44102433,44112440,44113669,44120401,44148832,44313294,44359839,44509801,44802891,45125461,45158708,45303182,45393620,45641158,45711841,46030081,46374361,46415473,46438918,46546275,46755745,47128390,47151921,47362681,47446668,47450245,47477473,47511121,47582533,47719160,47980801,48045198,48109873,48175506,48649801,48743941,48890118,49030674,49273250,49286072,49527745,49626495,49649360,49667436,49930801,50298601,50789734,50866849,51187081,51675622,51921894,52154041,52353430,52356756,52469113,52632788,52934928,53336775,53381665,53528468,53684055,53723960,54012212,54418741,54472344,54957589,55023001,55446831,55559078,55855530,56106894,56253061,56554068,56679241,56892560,56936209,56940294,57030673,57102769,57202401,57255704,57262992,57323396,57340165,57490455,57573241,57586894,57621361,57680473,57872433,58199254,58369850,58522040,58528129,58752961,58815015,58984833,59127900,59279830,59433294,59551794,59579232,59632340,59708216,59800081,59818676,59865781,60065432,60091833,60107281,60185665,60439455,60567241,61281387,61323152,61534465,61725238,61803745,62117240,62339761,62382662,62688014,62709332,62736016,62824116,63069760,63090529,63147745,63585430,63625094,63676441,63817592,64004130,64057998,64068248,64412667,64420866,64468752,64512440,64518584,64557361,64871173,64899332,65114481,65132756,65155958,65190169,65254441,65302630,65670915,65837295,65838073,65976321,66134953,66454729,66723896,66756565,66902641,67026636,67171743,67573611,67873030,68120774,68271072,68310836,68348929,68513113,68537588,68728390,68808198,68819534,68988546,69881895,70017875,70036052,70043820,70048976,70149973,70162033,70200788,70226448,70239961,70444281,70524344,70578018,70953480,71135796,71184289,71494041,71522965,71558808,71607121,71640601,71786245,71794791,71813401,71912433,72076779,72222798,72527346,72576495,72580678,72583407,72586321,72756409,72803122,73100245,73841358,74012521,74164494,74404641,74540688,74665294,74713408,74953681,75022833,75064383,75184694,75580681,75683712,75777294,76048388,76121173,76139192,76302516,76469240,76804956,76831321,76894292,77414928,77590873,77667745,77776753,77977921,78245494,78363156,78549262,78577863,78683713,78805098,79004754,79163396,79339887,79351765,79393742,79496841,79503049,79697721,79822665,79829641,80098833,80107878,80265073,80392273,80444775,80503659,80900245,81068852,81447636,81472390,82064713,82091433,82316230,82330143,82474068,82627441,82646228,82831393,83084065,83385500,83521561,83650318,83781493,83858274,84021450,84052584,84321721,84328021,84590761,84736294,85039833,85144176,85240801,85275512,85364615,85383745,85656591,85807760,85827558,85947673,86027895,86143494,86307224,86399121,86513161,86524630,87091794,87116689,87464473,87720294,87778294,87939633,88046761,88116758,88198981,88206601,88322601,88436852,88498436,88631449,88935265,88940821,88994438,89070872,89187745,89567558,89569729,89584760,89622880,89636473,90413481,90447745,90576854,90699265,91485169,91515255,91530673,91730433,91763088,91954465,92093254,92435041,92853001,93079940,93201294,93220630,93391508,93418918,93484479,93545075,93818641,94054390,94148121,94227001,94291558,94559157,94628294,94870561,94980889,95222118,95643051,95787198,95865812,95934951,96140948,96214681,96533730,96610513,96653432,96710961,97008824,97064773,97080294,97095627,97161673,97514228,97616272,97766868,97910840,97923745,98012075,98170465,98293765,98313620,98779476,98839081,99145849,99271861,99421508,99588081,99700878,99847059,...,9245760541066641710649108294923631271030055692395550421231141176988578839870209179195132811095431565432469894799508038265272895071639505065647470387384833620726595726712166301155998494946516977722779224065680477738853123293847195227630017166537954129122220428520117902852945410374968491808463376357375816286771091395621488005642410030526864028391516331864656638227475888957763684811699589862477696056713723841479314312734166799687920950524361646468239755061643962733108303851169472299512500537852401120146196333706614780162176904170780082328106864794205138868230866308189776043669755499728783012846112692704893396163215945948978430571053150186313406580407786064571936566224939681501279516768386456692026644981077058894161759403038119097267846718437643652334082761271024421261022814461000180793362395268491060207171962609925943507382512290601758373636482169414610715624362530018657403420703763455998279575355654678492587452413473365358159522348175134784570719942669676613917531980106764148918571517935990986101768040726514116979539217566024720413801610388368339397065229249326902469047942092627165808053660224486000614547558602407250887957772912878906682935859196825048054720834381000295063990566564685476872518604986564832347915709047198901866399852807026052281224648765919677608761444382072150268648743779172694094525880372213310753904014477045868141168253671492624687264055986447347267573544434217603614323337241642926517955250217611876653336865158514217051112334336303823573462370088728937396775332322342206399225100010790347536769613027230592534177922739717740136394030037232466766285579810779655292728767844054944098444335510381827471464187495519734133598754196326765520309668306791306541547917430209127575213108323595927944447188359336222568757755754281466292486368132039828676596502392240838502076071520940306040315082019114736397718658978563567107426869960798720698978315988742787328138592043611518717952975593067719246956144968507245666598329867496908754896666524877448969034818136557331237231869183049001904381517622693566740178630150720049001546100451248539713783277256773241809871072184221065534655319532186836272332144171367880832554492087678088065551780413345547711106740959924262135508072570209376570084545145600335842308572102081251427789769460004348689419659341929728525584927596913080932573290977510677456483152652937413447814930751774617469198709068072466106954654280456154217409520624430888792854}
15192   624152416786759623539165281161700099274811778099994773132457307: {75935,91122,288287,469991,515882,651407,802367,879338,922991,1073591,1242218,1524191,1577992,1604522,1644047,1775241,1785458,1972991,2092367,2503545,2507762,2670448,2687327,2687978,3004254,3227762,3338087,3407402,3603191,3717385,3926327,4014287,4052428,4124522,4460862,4484104,4657127,5044617,5180207,5195882,5230545,5310550,5579248,5614127,5692264,5855308,6046247,6218591,6276654,6372660,6390647,6403797,6476567,6790991,6797504,6969962,7047527,7146578,7473647,7499378,7586500,7647192,7650988,7671887,8236127,8348591,8505321,8603091,8729642,8741207,8769191,9103800,9187991,9254738,9327191,9355007,9439468,9547624,9577247,9710720,9771287,10082065,10241775,10301042,10648658,10671585,10735607,10741077,10924560,10981991,11091287,11145887,11383024,11652864,11825687,12029145,12098478,12290130,12378098,12428392,12629113,12722258,12805902,12811045,12831088,13009991,13065842,13109472,13147144,13237418,13410191,13625992,13670517,13751282,13808591,13981941,14402950,14408908,14434418,14434974,14442287,14497593,14626247,14704967,14748156,14790537,14836007,15176161,15285098,15329241,15373254,15618047,16274425,16301162,16315727,16436665,16470002,16546991,16638698,16700807,17160527,17283540,17480018,17541647,17769777,17794727,17920967,17946191,18041590,18298487,18435776,18651818,18800745,18818642,18823991,18985322,19370001,19529310,19667327,19716647,19723998,20019148,20054128,20183591,20305991,20313578,20330447,20480361,20525807,20671991,20740248,20777992,20817887,20831264,21060407,21253847,21468242,21494927,21526729,21649908,21680230,21724465,21757228,21759191,21845577,22560894,22569887,22781185,22850745,22853807,23059525,23207087,23332779,23375241,23418191,23435172,23468181,23480950,23593898,24178444,24198585,24232991,24374128,24728402,24808991,24867628,25015127,25266191,25373522,25629647,25682734,25773700,25811824,25833191,26016276,26069358,26081087,26707727,26750613,26816618,26928268,26976242,27306047,27337422,27343945,27372167,27401224,27420894,27482207,27671430,27811127,27930962,27964007,28177140,28578664,28722527,28722602,29001767,29038302,29130191,29195858,29322287,29364887,29449991,29516192,29577407,29579145,30055616,30063167,30189191,30289137,30398591,30410233,30523847,30628007,30694024,30752470,30807865,30814991,30826377,30928440,31034950,31075922,31224865,31231658,31397992,31551088,31638921,31706857,31760567,31943591,32125967,32150997,32247191,32528927,32544550,32649191,32812734,32829047,32990336,33089258,33205716,33396842,33620567,33812568,33855527,33914087,34128191,34163282,34251889,34502097,34530777,34611191,34707191,34794495,34846693,34879487,35078258,35322741,35395701,35494974,35533802,35674967,35685362,35836778,36011567,36141767,36290162,36404485,36542824,36689620,36741868,36902964,36969438,37024007,37114128,37241940,37295927,37332047,37469838,37617585,37642538,37655687,37673591,37707784,38039139,38175513,38206991,38558591,38598385,38630228,38820191,38834858,38837567,38889647,39053460,39279602,39427562,39491927,39575378,39724736,39747047,39763991,39848591,39891265,40017191,40125424,40201727,40501607,40600991,40606058,40848191,40899242,41011991,41045618,41062444,41073925,41110677,41159833,41337938,41401847,41498591,41657024,41707945,41753394,41754265,41834927,42052588,42073007,42291145,42309287,42421257,42528191,42583144,42590447,42711244,42790898,43053287,43125313,43236407,43368748,43443190,43463687,43523077,43685382,43697068,43763927,43799402,43897991,43932100,44027544,44178887,44201992,44266991,44352844,44372522,44578465,44606950,44690328,44904287,44918591,45085682,45141102,45287687,45295510,45329927,45334348,45470207,45706847,46048264,46295087,46318062,46360298,46456607,46523567,46641962,46723247,46762967,46864152,47008465,47091167,47618591,47663301,47869518,47883527,47906037,47995991,48008447,48487991,48669191,48736082,48741167,48931270,49096727,49190327,49260191,49288710,49479527,49498984,49502447,49530987,49650647,49727241,49780990,49842407,49887191,49977002,50049534,50098741,50105118,50218991,50251641,50273591,50276619,50371367,50446967,50532887,50607647,50749374,50798087,50928585,50954807,51016991,51078887,51104392,51206258,51206785,51222191,51262847,51373991,51464207,51474191,51533927,51613418,51730967,51791464,51804297,51811468,52031361,52091845,52131828,52154282,52244689,52246991,52253745,52468847,52557253,52574624,52578047,52718520,52722171,52792991,52827122,52935304,53063807,53089607,53183591,53185465,53318567,53362802,53412748,53434991,53494158,53528340,53566127,53590487,53606687,53629778,53657758,53679191,53877191,53923967,53947247,54108191,54162002,54294698,54323824,54352585,54354612,54397727,54477191,54533992,54548591,54559658,54626207,54647207,54654191,54680721,54691922,54716687,54757991,54894014,54999767,55006828,55140550,55186040,55186991,55428167,55464191,55558847,55588007,55611191,55645727,55686357,55737328,55808591,55830527,55840393,55875818,55922327,55938287,56017007,56059717,56093927,56129207,56137322,56154167,56173991,56203487,56233088,56242367,56276908,56388191,56410158,56438087,56448385,56453761,56560727,56607191,56632127,56644487,56742025,56744687,56786389,56809967,56858327,56880191,57001991,57005327,57070367,57096896,57101687,57110927,57161927,57213407,57267304,57280607,57293447,57295991,57306962,57308591,57323447,57345191,57359327,57421487,57456167,57492441,57564527,57574607,57616847,57639191,57647687,57672647,57678191,57687767,57693887,57697007,57699167,57951722,58265397,58383409,58592882,58717524,58720682,58803244,59084392,59146452,59230442,59308335,59552217,59648950,59737188,60548241,60996458,61114302,61292854,61350741,61371218,61448142,61500597,61607590,61708801,62061700,62084295,62364242,62510214,62613957,62704494,62781433,62869228,62980202,63262224,63822558,64060264,64079858,64234008,64322642,64425717,64443818,65047538,65186824,65223102,65374232,65445945,65790985,65886698,66168660,66223248,66469941,66621793,66718802,66910585,67102321,67154950,67191122,67308842,67426418,67515265,67661138,67738062,67954773,68090430,68461737,68478122,68941802,69172778,69229192,69655102,69658377,69809008,70205042,70546538,70579904,70692585,71115700,71170002,71450858,71569630,71578740,71654245,71787602,72011378,72067797,72263259,72457202,72629792,72773173,73152550,73335177,73546011,73654438,73890218,73909875,73929108,74186437,74474040,74501154,74540425,74616073,74635270,74651762,74759978,74773345,74809192,75081790,75298898,75405424,75518821,75920392,76184601,76269868,76350656,76653940,76788722,76894058,76951537,77104298,77163244,77513433,77627378,77646550,77731562,77882841,77937013,78386665,78420020,78530145,78535134,78646444,78837200,78868082,78949182,79244392,79402392,79438976,79480658,79771990,79987178,80058121,80085310,80122444,80289362,80292702,80389802,80585940,80640550,80648230,81018318,81124165,81415945,81682418,81708516,82368362,82757162,83128249,83336042,83338617,83404870,83765488,83783295,84160341,84571753,84572498,84831102,84882721,85041578,85321298,85338840,85388545,85410441,85410664,85414238,85671985,85883556,85894488,85958336,85985094,85993297,86060882,86244338,86380341,86518442,86819308,86881898,87298881,87545065,87554775,87561220,87750985,87783060,87968428,88155430,88224338,88312682,88488938,88691850,88752242,88919745,89149941,89327691,89368848,89448510,89562324,89706602,89728014,89792498,90098148,90559082,91028096,91397162,91744264,91984728,92465138,92546282,92587857,92869418,92895769,93030122,93175860,93391760,93573993,93635264,93925708,94032021,94063998,94104024,94138922,94236174,94604640,94836818,94847728,95060485,95066858,95173990,95325388,95378145,95411744,95437641,95537134,95586550,95598578,95673962,95726388,95883244,95974058,96006195,96086997,96102372,96117865,96297064,96446581,96493682,96631299,96703128,96768660,96777876,97223762,97348998,97567561,97699134,97733937,97953945,98033749,98455144,98501618,98640722,98885992,98954245,98985962,99206188,99387584,99732818,99813721,...,13868640811599962565973662442385446906545083538593325631846711765482868259805313768792699216643147348148704842199262057397909342607459257598471205581077250431089893590068249451733997742419775466584168836098520716608279684940770792841445025749806931193683330642780176854279418115562452737712695064536063724430156637093432232008463615045790296042587274497796984957341213833436645527217549384793716544085070585762218971469101250199531881425786542469702359632592465944099662455776754208449268750806778601680219294500559922170243265356256170123492160297191307708302346299462284664065504633249593174519269169039057340094244823918923467645856579725279470109870611679096857904849337409522251919275152579685038039967471615588341242639104557178645901770077656465478501124141906536631891534221691500271190043592902736590310757943914888915261073768435902637560454723254121916073436543795027986105131055645183997419363033482017738881178620210048037239283522262702176856079914004514920876297970160146223377857276903986479152652061089771175469308826349037080620702415582552509095597843873990353703571913138940748712080490336729000921821337903610876331936659369318360024403788795237572082081251571500442595985849847028215308777907479847248521873563570798352799599779210539078421836973148879516413142166573108225402973115668759041141788820558319966130856021715568802211752380507238937030896083979671020901360316651326405421485005862464389776932875326417814980005297737771325576668501504455735360193555133093406095162998483513309598837650016185521305154419540845888801266884109576610204591045055848700149428369716169482939093151766082416147666503265572741207196281243279601200398131294490148280464502460186959812321876145313691362819662485393891916670782539004333853136633631422199438729552198059743014894753588361257753114107281410459060472623028672104596577988467845350661140304941198081048467473983114180992207888065417278076929463389601578870434217452760868499897494801245363132344999787316173453552227204835996855847803774573502856572276434040350110267945226080073502319150676872809570674915885159862714806608276331598301982979298280254408498216257051821248831738131517132098327670620018321566660111439886393203262108855314064855126817718400503763462858153121877141684654190006523034129489012894592788377391395369621398859936466266016184724728979406120171722396127661926203798063602108699160431981420684231326114280936646333189281}
15193   626960335937666128566098773246825539112252627629346204860610710: {15193,121496,136683,773823,1319007,1380743,1863327,1972490,2336642,2366988,2406783,2678187,3338060,3744767,3761643,3923591,4005672,4031967,4506381,4841643,4881842,4980731,5065535,5111103,5605130,5947816,6078642,6105047,6186783,6337298,6691293,6701162,6726156,6974060,7115330,7160747,7319135,7793823,7965825,8069087,8354171,8368872,8461583,8496880,8538396,8782962,9414981,9483125,9522431,9558990,9563735,9960146,10146191,10196256,10331618,10454943,10641311,10719867,10794107,10874843,11227202,11249067,11340428,11379750,11422346,11470788,11476482,11503751,11597807,11799335,11922743,11934530,12138400,12362027,13094463,13240226,13655378,13655700,13882107,14159202,14228780,14319602,14321436,14336543,14540891,14566080,15226847,15451563,15508727,15535490,15537152,15972987,16038860,16131304,16136042,16386840,16433930,17032490,17074536,17460287,17479296,17547362,18011135,18072527,18147717,18180743,18227356,18435195,18490082,18567147,18642588,18855887,19019663,19042346,19083387,19208853,19218791,19231211,19246632,19330124,19598763,19627058,19664208,19720716,19856127,20188103,20195426,20438988,20497672,20626923,20945087,20966543,21327362,21585362,21604425,21613362,21651627,21652461,22121522,22122234,22585346,22927647,23044720,23059881,23574098,23693036,23798507,23976071,24261842,24451743,24705003,24852503,24958047,24966491,25006331,25023935,25067660,25752962,25826668,25925310,25972490,26039080,26220027,26245538,26298664,26392823,26857271,27062385,27196535,27205538,27248042,27307148,27420347,27473243,27607202,27653664,27786911,27887522,27932843,27977727,28227963,28477983,28555991,28866544,28925087,29115047,29127436,29293965,29548178,29585997,30028722,30081192,30223055,30467660,30470367,31084535,31110372,31166988,31246896,31290908,31821023,31947647,31974971,32187122,32202363,32217125,32264780,32335967,32474862,32520345,32593223,32635842,32691602,32797787,32994311,33215291,33627863,33660335,33841341,34164482,34251530,34413746,34688368,34759144,35109746,35152758,35221425,35390847,35481842,35667484,35723330,35957738,36267666,36449896,36561192,36895240,36938267,37092603,37260251,37301442,37480682,37569520,37742591,37757927,38060283,38285867,38367530,38371463,38524101,38660550,38676743,38717736,39024414,39104037,39247490,39438860,39592202,40224927,40292231,40385516,40392402,40464363,40739183,40742498,41006133,41059967,41101836,41131341,41237920,41507145,41586407,41601023,41896443,42058082,42185228,42265710,42390242,42586802,42867996,43083903,43311611,43360343,43454123,43557453,43750312,43793787,44070071,44274288,44509127,44716343,44795711,44987207,45083424,45274463,45317531,45678530,45862025,45927335,46002796,46041036,46128705,46289183,46318391,46392660,46541282,46552425,46613883,46803887,46847487,47096988,47134730,47155991,47194268,47326632,47326703,47533346,47717243,48054107,48287785,48713327,48770162,48816825,48821447,49159223,49203952,49219101,49271618,49292584,49485504,49633887,49641602,49655920,49723946,49808574,49857743,49959784,50095263,50108891,50156780,50718852,50864087,50900684,51010706,51193967,51244923,51328055,51698843,51715463,51760682,52071280,52542146,52565735,52617387,53228930,53242461,53267282,53300703,53389055,53427338,53524223,53528043,53755167,53850962,54072491,54210935,54211943,54247727,54373307,54435243,54621335,54806063,54814236,54915125,55034430,55112802,55157762,55239458,55252490,55354446,55441055,55454157,55671192,55862910,56052731,56204757,56463807,56561676,56667935,56704583,57038471,57202453,57366983,57560330,57638447,57864362,57945342,58188671,58247176,58252287,58580190,58703392,58919403,59141343,59226122,59363067,59587104,60115367,60188136,60493823,60575543,60909087,61038242,61040891,61082882,61348863,61568427,61593666,61757416,61873730,62006907,62144738,62485536,62630091,62786063,63060407,63078882,63347387,63551068,63826024,63874716,63880490,64066866,64186347,64466411,64739330,64764335,64867727,64936322,65027183,65053122,65164785,65229191,65458043,65528073,65545602,65699103,65718280,65741927,65898150,65979746,66041316,66169130,66302988,66430343,66529266,66558783,66732712,66765935,66806824,66910425,67002188,67035492,67288247,67628523,67665832,67711653,67904780,67943265,68001522,68041103,68167490,68758535,68982550,69072396,69110306,69169607,69338843,69345047,69375148,69477093,69486098,69509104,69540447,69671660,69962943,70291360,70296228,70346135,70672823,71167787,71325544,71371120,71584130,71804277,72472816,72540407,72907628,73010258,73104123,73294802,73379042,73396905,73504055,73624223,73674263,73855490,73933065,74130242,74248476,74671485,74734331,74965503,75074301,75157677,75183362,75213544,75323138,76124061,76295063,76618322,76656588,76663163,76809387,77042927,77232431,77420127,77577125,77586242,77601311,77687196,77717202,77806826,78197742,78231423,78290032,78402911,78537407,78586535,78645767,78861936,79077780,79206578,79240683,79246082,79402956,79649584,80044203,80068907,80075330,80119122,80160746,80241237,80276231,80292510,80444667,80486637,80594987,80730988,80776007,81243003,81442047,81483530,81485736,81531918,81717790,81800988,81839487,81930856,82000796,82037883,82341021,82437938,82510242,82710825,82751447,82779060,82866002,82991762,83010863,83140667,83346952,83485276,83605992,83813727,84126887,84205983,84259931,84349632,84374642,84415362,84615237,84870383,85096744,85559087,85645344,85900956,85960443,85984847,86148251,86485922,86525243,86536490,86719211,86834087,86927583,86964136,87261260,87469343,87889323,87968591,88076286,88081023,88204866,88224880,88227338,88240802,88297664,88406843,88441583,88581623,88626588,88719678,88845663,88894625,89019602,89322623,89473425,89559527,89605782,90250922,90317416,90606364,90787240,91282316,91343387,91423682,91494687,91671453,91939281,92056827,92060162,92172213,92411385,92605991,92748722,92830946,92877836,93092550,93347627,93459191,93511490,93546363,93765321,94056741,94256780,94303842,94470303,94725362,94893336,94900490,94954946,95022242,95165066,95337071,95337335,95438320,95733837,95817425,95906183,95961602,96090396,96119787,96219746,96351012,96454055,96483963,96665727,96899483,97299602,97487882,97571307,97656407,97754411,97780236,97794491,97834653,98025025,98061348,98308055,98546500,98558267,98572144,98830047,99055490,99159467,99252990,99298720,99334872,99404447,99652943,99743471,99861602,...,18491521082133283421298216589847262542060111384791100842462282353977157679740418358390265622190863130864939789599016076530545790143279010131294940774769667241453191453424332602311996989893033955445558448131360955477706246587694390455260034333075908258244440857040235805705890820749936983616926752714751632573542182791242976011284820061053728056783032663729313276454951777915527369623399179724955392113427447682958628625468333599375841901048723292936479510123287925466216607702338944599025001075704802240292392667413229560324353808341560164656213729588410277736461732616379552087339510999457566025692225385409786792326431891897956861142106300372626813160815572129143873132449879363002559033536772913384053289962154117788323518806076238194535693436875287304668165522542048842522045628922000361586724790536982120414343925219851887014765024581203516747272964338829221431248725060037314806841407526911996559150711309356985174904826946730716319044696350269569141439885339353227835063960213528297837143035871981972203536081453028233959078435132049440827603220776736678794130458498653804938095884185254331616107320448972001229095117204814501775915545825757813365871718393650096109441668762000590127981133129370953745037209973129664695831418094397803732799705614052104562449297531839355217522888764144300537297487558345388189051760744426621507808028954091736282336507342985249374528111972894694535147088868435207228646674483285853035910500435223753306673730317028434102224668672607647146924740177457874793550664644684412798450200021580695073539226054461185068355845479435480272788060074464933532571159621559310585457535688109888196888671020763654942928374991039468267197508392653531040619336613582613083095834860418255150426216647191855888894376718672445137515511508562932584972736264079657353193004784481677004152143041880612080630164038229472795437317957127134214853739921597441397956631977485574656277184087223037435905951186135438493912289937014491333196659734993817509793333049754897938069636273114662474463738366098003808763035245387133480357260301440098003092200902497079427566554513546483619742144368442131069310639064373672544664288342735761665108984175356176131103560826691095422213481919848524271016145140418753140169090291200671684617144204162502855579538920008697378839318683859457051169855193826161865146581955021354912966305305874826895629861503549234938397418136144932213909308560912308434819041248861777585708}
15194   629780786394684535426727361566160464957094622169411293411778617: {106309,151870,182244,576574,939982,1031764,1103833,1302814,1554373,1604734,1758676,1845982,2147182,2450053,2484436,2717353,2958735,3048382,3155984,3161413,3209044,3288094,3504963,3550482,3570916,3945982,4044133,4172575,4184734,4570309,5007090,5015524,5204339,5340896,5374654,5375956,5441509,5528233,5874409,6008508,6455524,6676174,6734809,6814804,6820453,7206382,7322763,7434770,7852654,7927273,8028574,8104856,8249044,8407695,8717575,8770393,8921724,8968208,9117963,9189253,9314254,9356293,9505947,9606313,10021573,10051743,10089234,10360414,10391764,10461090,10599913,10621100,10672995,10928809,11158496,11228254,11338309,11384528,11710616,12092494,12232873,12437182,12553308,12745320,12781294,12807594,12953134,13174443,13581982,13595008,13939924,14095054,14114891,14154409,14175535,14293156,14338485,14470633,14864293,14940219,14947294,14998756,15173000,15294384,15301976,15334309,15343774,15497427,15801733,16472254,16697182,16840803,17010642,17069625,17133519,17188453,17206182,17214723,17459284,17482414,17538382,17785975,17901795,17935463,17948773,18207600,18326233,18375982,18509476,18654382,18710014,18878936,19095248,19154494,19421440,19542574,19860339,20048575,20164130,20179291,20186533,20333413,20483067,20483550,20602084,21238803,21297316,21343170,21353509,21471214,21479403,21482154,21714409,21849120,21963982,22073509,22182574,22291774,22430809,22766048,22784195,23011331,23303235,23305728,23562073,23651374,23842009,23911813,24058290,24162655,24196956,24204063,24580260,24650895,24756196,24856784,24881509,25258226,25444516,25548735,25611804,25622090,25662176,26019982,26131684,26218944,26294288,26321043,26474836,26511013,26578009,26820382,27251984,27341034,27502564,27617182,27735123,27837253,27963882,28164313,28563519,28805900,28813033,28817816,28868836,28869948,28884574,28995186,29252494,29409934,29440587,29496312,29518309,29581074,29616295,29672014,30088873,30293139,30352322,30403333,30414251,30570196,30658482,30746508,31088809,31236094,31334575,31459033,31893659,31991043,32283335,32312809,32378043,32420043,32548850,32602324,32631454,32674393,32873330,32914009,32940004,33093982,33182283,33183351,33211909,33277396,33401614,33508009,33567013,33802309,33878019,34133935,34321054,34567080,34731973,34960036,35083294,35189893,35361147,35539554,35589454,35812009,35841934,35892382,36083180,36147673,36392763,36409295,36596974,36871552,36920809,37303636,37601490,37637284,37647982,37679833,37970644,38084575,38266309,38281523,38629443,38740002,38844073,38887965,38958735,39000133,39058620,39113635,39310309,39334654,39368307,39433294,39447996,39515653,39770713,39872233,40038296,40108256,40330975,40367182,40611982,40624453,40627156,40660894,40808307,40872063,40960722,41051614,41068009,41343982,41410803,41480496,41555984,41635774,41662528,41794309,41831283,42080293,42120814,42159667,42457573,42504409,42507694,42737509,42936484,42989854,43053458,43131011,43299816,43360460,43448930,43514456,43518382,43691154,43714811,43876009,44098309,44322267,44362693,44584355,44926633,45043083,45121788,45139774,45562213,45562370,45701490,45707614,46119050,46181593,46414174,46665558,46750482,46836382,46870344,46936362,46961900,47021509,47187796,47216809,47255653,47640133,47754073,48017413,48158671,48166309,48280683,48356888,48397170,48465982,48533509,48643439,48712293,48714409,48748256,48953763,49037403,49106053,49298575,49456804,49617982,49735256,50030254,50228713,50481895,50532382,50713093,50747044,50966279,51246723,51259294,51365468,51377295,51484393,51547400,51620619,51623648,51666382,52032552,52097509,52138716,52162174,52543333,52664619,52729137,52731535,52918309,52944553,53222763,53415454,53501226,53577253,53584995,53633236,53650153,53856536,53911909,53936607,53952484,54037739,54051013,54401499,54452773,54612094,54665893,54674844,54686809,54687890,54744334,54802448,54841788,54964414,55011673,55186309,55280809,55299493,55342860,55373509,55446373,55622254,55623493,55847771,55861924,55928014,55952163,55956133,56034793,56216233,56221023,56354280,56468953,56611909,56624473,56661733,56860633,56967913,57018853,57142873,57157328,57204613,57238309,57309913,57389509,57445054,57445204,57503495,57538009,57551295,57589093,57638233,57700009,57706309,57713833,57714373,57990825,58003534,58076604,58260382,58391123,58391716,58455971,58536621,58644574,58729774,58871235,58899982,58992835,59032384,59154814,59158290,59207603,59388303,60111232,60126334,60378382,60578274,60588603,60797182,60820466,61047694,61113747,61256014,61388048,61504940,61615730,61629982,61652754,61856880,62069900,62151844,62409851,62449730,62463316,62695975,62795984,63087123,63102176,63277842,63398565,63413714,63521134,63585363,63625855,63880203,63887182,64251934,64301994,64494382,65057854,65089100,65298382,65625468,65658094,65811851,65980672,66178516,66411432,66793684,67111187,67241134,67625136,67711054,67828174,68256382,68326564,68503778,68517795,69004194,69061554,69222382,69414382,69588990,69693386,69758974,69811923,70156516,70645482,70702095,70791402,70989948,71067604,71300019,71349934,71370724,71673556,71689499,72023134,72283534,72580324,72808970,72928583,73085648,73155243,73379240,73483736,73805928,73907427,73938876,74048014,74196239,74228256,74459651,74462403,74483880,74585919,74591854,74664094,74712861,74939676,75064891,75235170,75285076,75311374,75347182,75415568,76078278,76093619,76351026,76413982,76516059,77117182,77196770,77260456,77640382,77641023,77669716,77675134,77779294,78106920,78559204,78813219,78855124,78983854,79027739,79150756,79302743,79438835,79449472,79494094,79527982,79697182,79782530,79843395,79900923,80034382,80141007,80250848,80403454,80776443,81003214,81201982,81212116,81696382,81798484,82023982,82087951,82091236,82124888,82147850,82221354,82319666,82551645,82669203,82675876,82736643,82803694,82859187,82878735,82997182,83031669,83314048,83415890,83506788,83508530,83669854,83752735,83794365,84105176,84146014,84582290,84618574,84842514,84880975,85056382,85166288,85180894,85422488,85581796,86004659,86106574,86250626,86340495,86472814,86718935,86737496,86796543,86886380,86918013,86927374,87046154,87089575,87370764,87394136,87527854,87598804,87795982,87864200,87870285,88055088,88082203,88357774,88403984,88533982,88705688,88745044,88839183,89156930,89213900,89380656,89808574,89837182,90171364,90282204,90575374,90591020,90659854,90668696,90940414,91134535,91413694,91557363,91624323,92096528,92107379,92390499,92590174,92636124,92720596,92810595,92908043,92913214,93047134,93217107,93283924,93446494,93525934,93674819,93728304,94016930,94182334,94521371,94614143,94618323,95237182,95326602,95739036,95767054,95812074,95820735,95991982,96016894,96100299,96975982,97108995,97338382,97404483,97472164,97482334,97579683,97862540,98193454,98318403,98380654,98520382,98577420,98847225,98959054,98969619,98997968,99004894,99061974,99253695,99301294,99454482,99561980,99684814,99774382,99793899,99954004,...,27737281623199925131947324884770893813090167077186651263693423530965736519610627537585398433286294696297409684398524114795818685214918515196942411162154500862179787180136498903467995484839550933168337672197041433216559369881541585682890051499613862387366661285560353708558836231124905475425390129072127448860313274186864464016927230091580592085174548995593969914682427666873291054435098769587433088170141171524437942938202500399063762851573084939404719265184931888199324911553508416898537501613557203360438589001119844340486530712512340246984320594382615416604692598924569328131009266499186349038538338078114680188489647837846935291713159450558940219741223358193715809698674819044503838550305159370076079934943231176682485278209114357291803540155312930957002248283813073263783068443383000542380087185805473180621515887829777830522147536871805275120909446508243832146873087590055972210262111290367994838726066964035477762357240420096074478567044525404353712159828009029841752595940320292446755714553807972958305304122179542350938617652698074161241404831165105018191195687747980707407143826277881497424160980673458001843642675807221752663873318738636720048807577590475144164162503143000885191971699694056430617555814959694497043747127141596705599199558421078156843673946297759032826284333146216450805946231337518082283577641116639932261712043431137604423504761014477874061792167959342041802720633302652810842970011724928779553865750652835629960010595475542651153337003008911470720387110266186812190325996967026619197675300032371042610308839081691777602533768219153220409182090111697400298856739432338965878186303532164832295333006531145482414392562486559202400796262588980296560929004920373919624643752290627382725639324970787783833341565078008667706273267262844398877459104396119486029789507176722515506228214562820918120945246057344209193155976935690701322280609882396162096934947966228361984415776130834556153858926779203157740868434905521736999794989602490726264689999574632346907104454409671993711695607549147005713144552868080700220535890452160147004638301353745619141349831770319725429613216552663196603965958596560508816996432514103642497663476263034264196655341240036643133320222879772786406524217710628129710253635436801007526925716306243754283369308380013046068258978025789185576754782790739242797719872932532032369449457958812240343444792255323852407596127204217398320863962841368462652228561873292666378562}
15195   632613823635971017261921631570606857881859664562980501275695750: {30386,227805,242992,273366,864861,1289705,1409973,1547646,1835933,1954221,2198345,2407101,2638014,2761486,2768973,3105545,3220773,3726654,3835733,3944980,4011305,4381529,4463645,4572573,4673284,4733976,4813566,4932141,5325723,5356374,5918973,6269405,6277101,6676120,6719945,7091749,7468457,7489534,7510635,7523286,7825829,7847182,8011344,8013821,8061981,8063934,8069405,8462701,8518505,8821373,9012762,9683286,9763684,9961462,10014261,10131070,10222206,10246789,10311305,10550489,10642717,10809573,11152155,11210260,11778981,11895632,11990953,12042861,12089669,12157284,12210094,12373566,12674596,12730217,12989705,13276375,13382586,13389229,13402324,13452312,13787213,13948120,13971381,14230660,14268533,14321494,14638270,15133851,15540621,15587646,15691635,15931650,16138174,16519069,16708342,16737744,16757213,16842381,16923166,16993760,17076792,17424905,17565924,17745629,17866445,18138741,18234149,18655773,18748445,18829962,18966250,19044862,19117980,19127470,19171941,19211391,19429701,19920292,20156293,20292382,20372973,20392512,20663236,20700649,20909886,21142581,21282622,21358441,21439734,21588214,21691373,21749686,21824105,22420941,22454404,22498134,22680856,22759500,22844692,22941576,22952964,23007502,23015661,23136845,23195614,23598670,23845486,23869060,24276800,24659933,24708381,24724054,25045773,25215589,25515963,25752605,25809273,25848077,25887209,26188926,26223621,26307573,26480452,26621645,27310756,27311400,27563973,27586229,27764214,27981573,28065021,28318404,28457560,28639204,28642872,28673086,28731741,29081782,29111189,29132160,29313861,29497861,29505853,30246195,30453694,30725325,30874901,30903126,30945245,31017454,31070980,31074304,31805645,31945974,32014755,32077720,32206821,32223231,32262608,32272084,32664605,32773680,32814473,32867860,32945973,33093545,33273861,33358109,33437661,34064980,34149072,34150933,34378205,34920574,34958592,35033509,35094724,35477061,36007375,36022270,36086045,36087435,36145054,36295434,36304781,36361486,36454712,36870390,36980164,37134294,37285176,37347629,37410589,37711774,37887339,38039326,38075149,38084692,38166774,38212745,38319413,38417706,38433135,38437582,38462422,38493264,38660248,38761021,38913737,39029973,39197526,39254116,39328416,39441432,39583693,39712254,40230573,40376206,40390852,40752905,40877976,40995344,41011551,41175005,41253846,41425773,41596745,41890174,41933086,41945823,42312277,42654724,43170724,43208850,43226724,43303254,43304922,43326861,43492779,43518349,43700045,43878741,43906613,44114901,44243044,44244468,44371611,44508021,45103975,45170692,45528483,45855294,45987723,46089440,46119762,46495261,46629545,46854141,47046605,47124469,47148196,47164541,47386072,47463305,47597014,47952142,47993693,48089773,48523684,48823275,48903486,48947181,49309995,49328681,49410006,49640973,49705006,49916094,49932982,50012662,50047870,50102421,50135320,50311949,50783945,51202981,51481581,51505924,51653336,51841229,51850620,51944980,52078160,52440054,52483037,52491076,52597328,52624941,52785646,53309331,53384181,53670605,53714542,53762901,53838573,54053929,54124770,54200575,54393070,54411076,54496084,54614296,54840694,54895461,54942661,54946486,55214404,55307328,55573822,55775044,55865686,55955454,56086633,56402235,56455926,56471973,56955966,57111982,57588773,57695909,57733088,57850174,58110003,58230094,58254872,58587930,58702375,58984745,59001981,59096356,59149941,59171994,60057444,60162384,60446110,60501961,60550773,60697157,60917973,60935320,60940734,60991341,61441083,61577421,61821005,62015973,62169070,62220744,62333976,62334473,62453661,62493792,62581816,63181221,63433805,63642046,63761541,63895294,63903853,63949942,64206835,64298269,64374244,64404726,64434250,64484781,64529560,64580187,64671934,64888457,64949724,65034397,65040690,65173395,65186446,65207813,65271684,65277573,65383204,65536731,65595574,65988622,66430582,67041545,67066633,67255726,67320670,67440605,67602899,67608829,67682682,67709661,68328964,68343555,68503060,68552235,68561421,68827492,69178575,69376736,69518288,69621261,69827405,69943973,69998337,70125723,70219492,70254573,70275853,70305516,70404543,70442850,70630669,70781694,70963684,71005001,71162969,71334968,71446660,71806505,71832893,71859277,71915476,72535332,72595755,72698973,72899792,72989645,73122384,73592029,73714541,73790480,73876534,74185206,74426973,74520502,74602884,74660333,74744677,74961364,75045381,75139040,75485182,75515854,75601229,75798573,75882173,75895309,76120566,76469869,76571734,76735060,76742926,76881175,76888941,77048202,77321100,77353486,77435472,77499573,77587375,77617477,77689805,78048828,78079145,78208074,78243261,78494980,78601829,78877720,79184404,79335109,80058101,80123181,80251839,80449854,80584462,80771032,80784804,80928726,81361375,81478366,81484996,81918141,82012266,82031835,82116501,82119934,82203672,82262682,82446621,82475840,82723145,83014290,83172814,83202046,83433381,83492105,83792886,83892021,84069613,84116164,84350489,84370456,84531420,84780484,85173604,85408205,85517897,85735992,86167581,86167806,86623222,86720686,86730877,86908246,87005301,87114906,87390573,87488069,87500624,87587574,87695645,87966861,88094661,88140142,88349973,88548576,88732221,88737435,88834505,89018254,89213405,89432686,89591422,89591945,89619629,89732701,89974414,90166848,90189501,90547853,90548926,90567573,90635062,90670069,90725405,90867411,91195773,91230699,91357060,91571541,91724050,91854670,91884021,92005592,92082072,92257410,92423595,92444973,92459669,92479131,92578366,92636782,92785320,93082564,93104850,93227766,93472309,93607774,93674595,93694974,94106345,94193976,94269460,94311982,94388536,94439773,94653264,94653406,94916763,95066692,95120571,95177093,95248621,95281701,95434486,95830773,96108214,96240533,96261949,96377901,96452991,96575570,96741573,97087145,97426654,97540324,97586781,97633650,97642894,97686469,97947573,98199005,98317837,98318446,98343437,98407904,98438202,98484589,98487141,98543236,98568905,98585168,98938445,98971008,99267774,99283204,99311840,99447892,99617148,99715486,99919568,...,41605922434799887697920987327156340719635250615779976895540135296448604779415941306378097649929442044446114526597786172193728027822377772795413616743231751293269680770204748355201993227259326399752506508295562149824839054822312378524335077249420793581049991928340530562838254346687358213138085193608191173290469911280296696025390845137370888127761823493390954872023641500309936581652648154381149632255211757286656914407303750598595644277359627409107078897777397832298987367330262625347806252420335805040657883501679766510729796068768510370476480891573923124907038898386853992196513899748779523557807507117172020282734471756770402937569739175838410329611835037290573714548012228566755757825457739055114119902414846765023727917313671535937705310232969396435503372425719609895674602665074500813570130778708209770932273831744666745783221305307707912681364169762365748220309631385083958315393166935551992258089100446053216643535860630144111717850566788106530568239742013544762628893910480438670133571830711959437457956183269313526407926479047111241862107246747657527286793531621971061110715739416822246136241471010187002765464013710832628995809978107955080073211366385712716246243754714501327787957549541084645926333722439541745565620690712395058398799337631617235265510919446638549239426499719324676208919347006277123425366461674959898392568065146706406635257141521716811092688251939013062704080949953979216264455017587393169330798625979253444940015893213313976730005504513367206080580665399280218285488995450539928796512950048556563915463258622537666403800652328729830613773135167546100448285109148508448817279455298247248442999509796718223621588843729838803601194393883470444841393507380560879436965628435941074088458987456181675750012347617013001559409900894266598316188656594179229044684260765083773259342321844231377181417869086016313789733965403536051983420914823594243145402421949342542976623664196251834230788390168804736611302652358282605499692484403736089397034999361948520360656681614507990567543411323720508569716829302121050330803835678240220506957452030618428712024747655479588144419824828994794905948937894840763225494648771155463746495214394551396294983011860054964699980334319659179609786326565942194565380453155201511290388574459365631425053962570019569102388467038683778365132174186108864196579809398798048554174186938218360515167188382985778611394190806326097481295944262052693978342842809938999567843}
15196   635459503383327006077703328937868696798723640998155580528399726: {45579,212618,303740,348979,364488,410049,712003,893083,1153148,1344523,1704379,1879964,2063528,2207666,2321469,2605628,2688043,3108746,3209468,3397963,3517352,3574723,3691964,3839323,3957021,4142229,4294364,4716643,4900106,4931225,4968872,5239579,5434706,5589981,5673379,5841605,5917470,6096764,6311968,6322826,6418088,6535579,6576188,6621403,7009926,7049443,7100964,7141832,7220349,7891964,8034561,8088266,8153923,8238379,8322763,8345150,8369468,9140618,9413203,9496579,9579883,9829363,10014180,10031048,10408678,10681792,10749308,10751912,10883018,11056466,11148979,11234301,11284929,11639083,11748818,11770773,11883163,12017016,12095901,12204605,12911048,13352348,13469618,13493803,13519143,13573579,13629608,13640906,14012825,14412764,14446363,14524929,14645526,14869540,14942193,15196605,15333309,15622483,15705308,15843245,15854546,16057148,16209712,16320379,16498088,16628683,16752905,16815390,17165443,17435150,17540786,17788325,17843448,17850379,17926123,17936416,18235926,18303763,18315141,18378506,18560349,18628508,18712586,18904243,19011894,19212626,19722379,19796323,19845749,20043146,20073879,20103486,20178468,20385283,20531803,20720828,20783528,20922180,21199826,21242200,21345990,21482241,21549379,21857618,21957405,21981163,22316992,22456508,22676618,22769056,22907803,23049283,23331379,23381469,23421232,23848253,23897475,24184988,24207261,24465746,24874364,24900365,25062513,25106616,25384749,25490640,25562588,25615188,25829045,25906268,26156443,26348886,27159763,27163964,27190016,27358483,27879848,28068005,28081579,28190108,28229782,28244943,28308818,28351070,28449375,28555865,28567293,28586312,28676970,28691205,28731379,28941266,28989283,29053579,29373979,29629003,29728586,29836325,29880438,29894588,29997512,30346000,30438573,30588768,30603952,30668618,30687548,30994854,31364829,31603466,31897873,31923933,32159601,32176579,32237203,32382321,32624529,32944508,33100565,33316123,33394364,33670579,33681606,33729403,33747201,33827717,34021284,34138445,34139250,34267038,34376906,34412364,34429446,34511253,34793421,34890763,34918568,34964828,35076764,35398005,35571950,35768229,35799005,35803590,35870926,35897546,35911363,36190723,36301963,36415200,36578803,36652466,36751964,37018952,37086081,37308764,37344379,37398523,37420028,37757872,38190496,38308988,38466283,38838725,38842880,38885323,39085148,39248203,39283389,39505243,39720678,40013923,40097150,40165123,40215379,40328260,40340105,40358582,40373066,40666826,40966134,40967100,41084825,41204168,41254123,41462813,41646321,41881243,42355363,42477606,42581225,42594632,42686340,42707018,42942428,42958806,42964308,43009629,43282003,43327579,43428818,43622673,43698240,43868405,43927964,44147018,44179843,44223979,44365148,44583548,44861618,44920363,45196669,45346243,45532096,45568390,45680541,45681763,45764923,46022662,46225205,46298443,46354689,46526181,46580683,46606470,46611456,47095483,47124146,47173603,47302748,47483203,47605865,47684018,47787509,47823626,47863723,47901379,47918961,48116580,48325310,48393912,48408126,48639379,48962083,49067645,49160520,49301790,49512392,49521379,49713568,49763018,49825061,50488565,50516452,50648683,50680579,50838979,50889032,50973013,50995579,51097470,51223608,51244180,51324352,51926323,52039964,52263368,52323979,52380861,52437888,52490083,52588576,52642086,52867579,52949672,53022026,53156018,53230963,53318405,53357323,53407363,53628979,53640764,53824397,53962123,53963405,54033405,54191443,54217581,54435379,54443151,54503968,54542229,54682068,54759089,54856579,54977323,55005128,55134283,55234364,55303805,55305585,55470246,55674506,55701441,55766803,55927764,55947379,56119243,56194483,56267923,56328626,56409403,56463365,56567661,56670763,56731603,56836579,56847883,56914793,57058989,57127038,57135163,57144379,57241003,57250161,57321283,57343963,57460243,57484579,57490483,57507763,57560683,57606403,57611800,57626066,57626559,57635632,57656373,57693633,57723979,57727003,57729523,57737672,57739896,57769148,57990372,58504988,58796289,58819868,58881174,58935245,58992624,59036618,59162148,59232590,59344028,59568381,60177746,60564309,60586278,60654605,60704644,60806666,60828502,61140392,61316964,61493016,61880769,62177618,62418097,62472188,62669150,62835261,62899629,62918066,63787318,63982086,64382405,64566670,64625618,64756086,64813275,64840086,64931225,64954881,64957383,65097700,65204648,65262908,65348786,65613845,65746660,65828018,65880008,66187964,66364566,66366702,66423818,66554792,66803228,67016018,67134026,67604618,67756038,67768349,68013845,68120105,68267870,68642108,68782941,69018005,69134160,69179643,69463946,69718805,69920072,70166588,70379786,70674653,70722294,71079108,71178908,71395521,71624018,71683868,71784764,71928213,72166360,72295346,72785526,72818590,73193948,73355229,73743104,73824149,73841618,73870445,74115009,74557509,74607272,74874141,74899473,75018993,75071805,75202980,75274568,75295964,75359666,75941288,76169150,76532618,76563046,77258886,77480004,77688146,77775930,77917470,78000266,78117240,78227270,78620618,78660081,78669308,78726593,78736614,78866588,78895992,79031306,79178469,79313221,79541426,79744466,80076592,80216512,80467805,80504893,80571813,80661950,80734364,81187155,81223964,81248906,81254312,81321788,81589605,81616614,81729005,81744126,81921444,82098797,82103228,82136018,82261041,82419729,82589969,82687964,82821606,82960992,83111968,83271548,83325056,83360733,83588618,83662566,83798529,83933181,84160586,84241628,84319334,84683889,84915146,85008818,85015388,85411205,85433949,85475018,85628825,85667973,85872968,85979708,86034365,86106916,86262022,86599632,86720920,86775261,86897860,87028912,87036764,87345141,87382308,87429622,87749189,87752018,87774365,87881895,88093841,88196618,88644534,88704605,88713053,88725386,88757991,89076197,89168710,89308325,89853266,89894345,90086166,90243576,90279548,90669165,91124426,91124740,91402980,91411101,91415228,91745357,92238100,92363186,92828348,93253605,93331116,93500964,93672764,93701705,93740688,93872724,93923800,94043018,94375592,94433618,94511306,95280266,95463069,95508146,95842941,95918825,95924913,96034826,96317342,96332618,96561366,96607089,96651375,96713776,96794340,96931964,96970973,97007901,97013033,97067018,97286878,97424586,97428818,97496512,97561035,97779669,97907526,98074806,98118725,98212106,98393361,98597150,98913608,98980505,98982933,99235964,99470512,99645873,...,55474563246399850263894649769541787626180334154373302527386847061931473039221255075170796866572589392594819368797048229591637370429837030393884822324309001724359574360272997806935990969679101866336675344394082866433118739763083171365780102999227724774733322571120707417117672462249810950850780258144254897720626548373728928033854460183161184170349097991187939829364855333746582108870197539174866176340282343048875885876405000798127525703146169878809438530369863776398649823107016833797075003227114406720877178002239688680973061425024680493968641188765230833209385197849138656262018532998372698077076676156229360376979295675693870583426318901117880439482446716387431619397349638089007677100610318740152159869886462353364970556418228714583607080310625861914004496567626146527566136886766001084760174371610946361243031775659555661044295073743610550241818893016487664293746175180111944420524222580735989677452133928070955524714480840192148957134089050808707424319656018059683505191880640584893511429107615945916610608244359084701877235305396148322482809662330210036382391375495961414814287652555762994848321961346916003687285351614443505327746637477273440097615155180950288328325006286001770383943399388112861235111629919388994087494254283193411198399116842156313687347892595518065652568666292432901611892462675036164567155282233279864523424086862275208847009522028955748123584335918684083605441266605305621685940023449857559107731501305671259920021190951085302306674006017822941440774220532373624380651993934053238395350600064742085220617678163383555205067536438306440818364180223394800597713478864677931756372607064329664590666013062290964828785124973118404801592525177960593121858009840747839249287504581254765451278649941575567666683130156017335412546534525688797754918208792238972059579014353445031012456429125641836241890492114688418386311953871381402644561219764792324193869895932456723968831552261669112307717853558406315481736869811043473999589979204981452529379999149264693814208908819343987423391215098294011426289105736161400441071780904320294009276602707491238282699663540639450859226433105326393207931917193121017633992865028207284995326952526068528393310682480073286266640445759545572813048435421256259420507270873602015053851432612487508566738616760026092136517956051578371153509565581478485595439745865064064738898915917624480686889584510647704815192254408434796641727925682736925304457123746585332757124}
15197   638317881603260645551121519672272739724263261084280868791787526: {60772,318927,379675,455610,485984,546732,1441435,1729722,1805587,2169739,2349955,2579410,2819946,3077683,3095292,3257035,3311499,3671866,3908442,4011835,4347763,4396690,4533139,4614955,4663119,4814202,4897003,5276028,5367955,5522972,5537946,5615827,6165643,6211090,6249103,6441546,7350159,7453308,7620955,7671466,7826863,7889960,7983523,8022610,8152059,8220235,8347099,8763058,8777167,8876205,8927290,9145146,9248707,9346568,9407923,9467952,9484239,9627132,9864282,9864955,10425259,10461835,10514889,10551883,10651446,10712748,11065147,11297167,11791723,11837946,11925907,12132399,12517725,12538810,12554202,12731899,12881587,13127983,13352240,13436635,13439890,13511983,13608163,13710927,14183498,14435827,14936914,14964559,14979068,15021270,15046572,15166363,15613017,15651658,15694364,16022688,16027642,16123962,16127868,16138810,16235563,16293979,16324527,16584699,16690435,16925402,17037010,17089039,17623227,17642746,18015955,18025524,18077323,18185587,18432499,18586925,18735739,18747787,19366572,19527368,19631635,19803979,19922924,20028522,20071435,20204427,20262140,20280643,20379343,20444412,20461359,20493578,20609923,20622610,20972107,21100978,21285434,21619146,21968289,22304310,22420520,22832683,23279887,23285635,23557962,23781819,23791264,23981906,24085722,24179338,24314568,24394867,24420188,24747132,24871867,25013023,25223085,25349192,25354579,25460434,25635259,25901035,25979410,26152725,26247823,26311179,26399827,26552750,26724283,26765172,26778458,26804648,26904624,27353889,27417787,27567759,27574426,27630703,27896240,27942762,28068879,28070635,28461320,28517841,28537066,28569739,28642988,28808719,28818939,28932763,29276540,29341243,29624827,30064719,30155229,30231235,30267702,30531247,30553747,31081242,31092955,31175292,31383270,31799739,31863300,31953235,32018985,32276348,32382835,32391583,32499427,32601907,32786427,32965483,33038138,33416684,33475488,33514426,33636787,33684762,33846332,33954955,33987520,34014927,34153584,34415179,34849810,35014579,35131848,35237635,35491258,35732890,36053647,36277482,36468298,36698619,37270303,37311546,37368235,37496890,37659924,37676683,37932500,38073523,38089724,38235960,38254940,38343882,38359435,38422782,38808559,38859402,39143539,39295663,39523329,39840584,40312586,40584764,40745946,40785024,41180635,41326472,41401298,41597443,41612107,41742955,41819772,41847343,42204283,42285162,42344673,42390619,42463227,42526605,42565244,42621907,42716882,42879468,43015455,43172239,43176428,43323343,43382746,43411899,43499372,43648210,43706035,43845955,44138107,44527903,44592879,44820657,44841882,44908808,44996268,45143419,45286579,45361712,45519000,45689384,45730447,45883152,45905928,45939955,46002927,46015004,46031322,46048399,46273690,46301467,46330963,46391228,46492281,46635955,46734283,46775035,47197340,47405199,47496367,47690972,47738120,47886235,48129487,48553600,48763339,48834403,48856435,49319866,49416762,49448108,50091546,50178067,50246383,50410325,50431178,50520463,50522409,51031926,51208875,51293419,51400557,51505210,51565359,51618546,51644169,51696154,51729187,51774418,51848203,52377852,52447242,52615146,52730659,52960904,53243290,53357925,53497843,53538427,53678035,53693803,53705385,53806389,53846319,54226387,54262123,54621512,54622800,54909955,54978699,55127946,55172458,55456435,55528428,55729435,55963146,56130042,56636808,56701987,56719699,56719819,56915120,57054067,57278408,57285744,57346172,57463482,57645007,58163564,58204243,58222378,58235443,58264320,58551823,58627722,58995722,59011706,59128435,59205067,59581017,59594827,59718163,60145725,60492390,60537873,60559599,60777739,60907388,61000239,61180063,61205083,61266907,61449201,61450650,61749802,61806252,61890490,62034908,62141960,62148608,63000163,63145565,63316363,63568819,63611290,63702043,63716409,63891948,64029510,64055225,64060527,64155440,64413642,64438209,64446462,64483663,64525216,64544168,65049955,65143227,65198587,65281363,65329210,65375179,65547360,65628946,65735720,65759443,65820319,65865247,65891946,66187090,66220527,66253339,66448627,66547722,66716218,66875322,67050955,67292427,67837999,68059459,68061103,68129960,68298144,68301866,68352585,68626627,68756410,69033993,69042955,69363523,69841148,69909705,69917184,70067018,70189448,70268539,70686219,70954122,71097523,71213263,71526027,71669467,71735439,72014750,72044540,72172090,72174870,72211435,72290108,72487965,72590868,72609562,72612189,72722972,72786043,72909424,73131235,73524835,73740780,73952685,73960328,74152147,74180035,74268588,74570352,74644527,74695258,74821178,74984239,75138847,75423548,75774678,75880805,76078652,76150298,76169384,76213339,76333548,76425490,76638826,76646205,76683679,76835412,76866270,76875164,76924844,76986528,77063779,77320496,77522042,77827474,78019699,78038287,78059946,78090235,78395052,78508232,78612403,78656832,78742543,78882864,78963129,79107307,79167386,79424508,79533039,79535083,79734027,80461146,80752412,80781704,81241039,81372125,81505810,81578635,81755952,81990688,82023102,82183325,82350010,82507692,82578643,82661059,82734955,82851546,83193490,83205369,83504035,83511759,83780348,83866172,83891646,84492939,84624554,84893419,85035547,85309448,85581883,85690557,85802635,86150479,86341448,86386099,86417700,86439099,86453448,86549407,86606508,86609844,86653722,86985558,87036698,87400090,87708235,87757482,87813226,87849103,87992323,88082863,88229802,88234939,88321761,88465147,88486088,88488936,88554927,88743222,88807327,88848885,88973635,88976827,89016042,89346907,89604835,89631883,89730955,89889569,90020659,90207950,90266619,90341384,90452563,90879417,91056966,91209999,91242753,91415683,91492435,91521883,91710588,91975446,92178880,92239524,92418307,92990522,93259090,93266427,93708282,93858163,94003725,94093210,94119955,94248938,94296392,94329082,94377099,94416847,94772144,94890703,94908787,94926610,95190139,95194028,95680977,95904284,95973129,95987386,96179546,96343267,96668707,96850005,96925519,96938427,97047368,97134129,97260129,97646550,97758367,97780783,97806972,97894362,98023179,98336635,98583235,98619990,98657362,98742027,98820012,99209899,99281946,99410012,99546849,99550053,99635727,99770467,99832188,99865964,...,83211844869599775395841974654312681439270501231559953791080270592897209558831882612756195299858884088892229053195572344387456055644755545590827233486463502586539361540409496710403986454518652799505013016591124299649678109644624757048670154498841587162099983856681061125676508693374716426276170387216382346580939822560593392050781690274741776255523646986781909744047283000619873163305296308762299264510423514573313828814607501197191288554719254818214157795554795664597974734660525250695612504840671610081315767003359533021459592137537020740952961783147846249814077796773707984393027799497559047115615014234344040565468943513540805875139478351676820659223670074581147429096024457133511515650915478110228239804829693530047455834627343071875410620465938792871006744851439219791349205330149001627140261557416419541864547663489333491566442610615415825362728339524731496440619262770167916630786333871103984516178200892106433287071721260288223435701133576213061136479484027089525257787820960877340267143661423918874915912366538627052815852958094222483724214493495315054573587063243942122221431478833644492272482942020374005530928027421665257991619956215910160146422732771425432492487509429002655575915099082169291852667444879083491131241381424790116797598675263234470531021838893277098478852999438649352417838694012554246850732923349919796785136130293412813270514283043433622185376503878026125408161899907958432528910035174786338661597251958506889880031786426627953460011009026734412161161330798560436570977990901079857593025900097113127830926517245075332807601304657459661227546270335092200896570218297016897634558910596494496885999019593436447243177687459677607202388787766940889682787014761121758873931256871882148176917974912363351500024695234026003118819801788533196632377313188358458089368521530167546518684643688462754362835738172032627579467930807072103966841829647188486290804843898685085953247328392503668461576780337609473222605304716565210999384968807472178794069998723897040721313363229015981135086822647441017139433658604242100661607671356480441013914904061236857424049495310959176288839649657989589811897875789681526450989297542310927492990428789102792589966023720109929399960668639318359219572653131884389130760906310403022580777148918731262850107925140039138204776934077367556730264348372217728393159618797596097108348373876436721030334376765971557222788381612652194962591888524105387956685685619877999135686}
15198   641189014508052831027858738628039733427401871968828736664181518: {75965,91158,167057,425236,560957,607480,683415,697958,728976,820098,893201,923357,1013777,1424006,1464797,1614737,1786166,2063357,2306296,2510177,2594583,2689046,2718077,3408758,3427901,3604637,3751697,3759928,3869115,4015901,4127056,4229919,4415332,4571537,4629857,4642938,4920977,5153297,5211256,5376086,5442977,5507799,5862663,5933597,6192401,6217492,6364577,6418936,6479201,6595035,6736637,6793757,6795926,6879377,6903715,7034704,7149446,7221303,7334801,7383928,7678646,7914042,7929437,8178247,8284458,8306919,8323901,8352017,8436317,8588728,8856737,9316635,9331037,9414497,9433286,9608957,9662319,9800212,9862450,9937744,10272701,10410401,10479158,10849697,10869412,10986557,11179962,11341457,11346758,11477597,11507199,11640701,11667857,11683210,11834940,11911901,12033915,12193528,12290237,12559517,12623936,12645652,12836176,13071158,13144587,13152376,13242806,13390935,13495697,13717719,13893917,14019852,14079137,14098886,14201928,14283664,14440698,14474717,14711201,14796423,14842301,15390737,15728477,15783928,15977169,16069122,16176532,16307846,16476758,16631057,16645526,16690300,16738936,16810397,17086447,17193377,17756919,17777117,17953937,18029597,18281236,18306401,18331517,18723835,18808215,18826406,18831303,18906977,18993158,19159766,19304801,19428701,19617955,19658726,19799201,19897697,20028360,20062096,20159835,20388257,20412701,20681057,20817356,21142301,21275247,21363584,21408017,21498616,21503824,21504401,21766036,21768797,21840737,22008317,22112932,22180543,22297958,22405371,22468602,22531905,22569858,22934801,23193917,23278166,23428637,23454067,23477487,23497636,23498897,23541546,23766326,23849117,23965457,24034032,24041463,24127997,24185943,24191802,24208215,24409210,24474977,24820157,24888977,24903655,24934817,25140701,25277597,25327675,25345937,25388103,25555515,25618577,25822096,25822301,26160401,26464119,26519057,26697617,26704696,26831201,26939236,26987606,27038286,27147158,27259216,27281812,27384701,27494801,28025650,28172957,28184299,28825528,28892726,29015201,29049858,29291052,29463677,29527457,29739080,29760701,29884386,30042783,30266237,30393210,30475517,30525235,30600701,30666618,30704801,30740367,30891677,30933915,31139837,31244966,31325201,31410616,31509917,31651467,31686490,31709092,31928151,32114296,32141201,32262497,32323037,32419424,32428719,32544401,32640758,32844701,32964317,32996176,33257366,33321437,33341201,33456465,33459617,33505810,33617057,33630780,33813137,33852257,33930401,34144637,34330886,34493117,34608701,34685597,34860511,34870300,34896401,35081572,35201297,35336943,35576650,35635997,35686896,35700758,35748701,35803735,35823677,35852246,35872832,35972859,36128583,36160663,36196637,36269007,36326417,36471852,36595675,36603197,36607526,36630282,36757012,36932957,36969437,37042301,37120698,37257016,37314401,37404701,37425172,37808486,38023788,38190651,38279057,38314337,38425252,38542877,38647901,38891837,38909201,38969115,39013217,39271997,39295207,39444758,39528977,39592646,39691498,39767201,39829125,39868817,39978211,40037537,40086292,40147758,40167687,40206972,40345435,40356936,40671377,40770566,40934801,41063606,41082077,41277437,41361639,41441656,41567056,41600477,41770855,41844360,41914143,42307915,42315617,42399652,42484400,42550397,42612701,42691980,42752417,42805599,42964482,43014557,43098758,43667297,43715236,43891517,43914810,43921277,43962326,44143457,44202401,44407697,44633984,44799197,44913016,44942717,44985617,45142301,45353236,45354401,45401553,45538112,45578657,45690017,45703901,45773201,45815606,46098566,46266257,46320401,46340791,46468637,46589201,46602557,46621863,46662758,46762938,46788701,46842464,47074905,47104157,47117201,47415625,47568701,47612155,47696506,47793823,47794950,47818675,48184337,48369976,48414522,48430097,48551777,48696737,48732797,48931492,48983201,49461917,49557207,49748728,49800730,49904801,50118607,50125026,50213232,50248157,50271639,50335517,50508701,50527143,50626577,50730955,50732897,50769498,50922257,50981280,51098717,51125176,51191201,51230376,51293201,51434657,51494801,51534737,51594401,51658090,51812536,51936701,52137377,52274715,52312886,52445597,52673297,52697772,52825277,52851857,52939937,52983677,53044577,53122301,53206555,53236887,53241917,53250401,53343197,53418401,53426717,53599335,53623901,53934497,53950097,53970535,53981201,54142397,54277757,54319526,54327928,54374215,54380032,54416223,54432401,54511997,54533537,54583517,54604817,54682301,54702447,54710237,54716966,54724157,54786401,55223057,55304957,55336097,55464701,55589777,55759696,55779197,55784801,55867901,55916897,55943837,55967319,55975901,56085857,56136010,56152157,56163158,56207201,56212157,56226977,56245335,56256401,56380216,56426897,56459564,56476147,56489886,56517137,56582717,56599901,56617636,56646497,56683901,56688017,56702140,56744801,56861201,56864957,56898750,57001757,57072401,57111730,57134586,57151901,57172624,57211901,57265937,57271457,57337757,57345377,57353940,57357917,57382410,57408401,57417617,57462758,57504701,57515823,57518755,57523901,57551201,57575057,57620897,57634173,57653597,57667517,57672977,57691901,57724637,57730877,57734801,57736337,57738077,57739901,57742301,57743201,57744317,57744737,57882532,57978566,57989035,58107158,58289103,58747958,58884163,58996675,59258006,59457172,59613715,59672650,59760876,59789176,59995024,60156679,60468879,60692000,60877146,61118919,61177536,61207904,61337236,61375096,61415767,61810135,61989708,62101947,62729658,63206932,63427743,63610651,63795746,63847866,64075323,64319202,64353158,64474406,64715287,64764642,65074119,65249058,65472315,65889016,66201130,66632246,66648211,66788728,67262823,67341158,67363212,67458806,67494402,67655434,67777303,68042568,68276890,68278500,68534076,68694703,68753812,68824728,68858892,69022506,69046983,69410535,69586842,69781526,69837136,69929656,70153528,70683991,70796010,71143900,71536458,71598010,71607180,71682715,71741852,71795092,71822726,72381446,72603926,72704455,72830400,73157606,73304932,73503928,73979799,74037904,74125143,74172162,74617528,74645767,74688758,74797046,74840056,75137319,75515744,75548767,75646767,76134235,76380992,76547889,76617976,76932566,77257815,77425327,77427819,77543635,77544231,77661627,77677450,77685760,77770646,78170296,78496406,78566778,78670863,78922719,79010486,79048711,79441356,79864935,80027846,80089867,80194300,80330246,80430758,80656520,80680210,80717164,80746132,81333652,81932268,81934200,82169650,82408336,82508246,82509343,82691919,82758687,82925626,83292642,83762486,83944719,84195063,84710726,84916447,84955212,85162450,85189264,85372680,85414036,85884856,85917612,85928616,86019258,86195223,86564006,86655158,86857636,87245346,87301435,87333567,87396480,87736810,87760783,87855928,87941583,88294036,88359686,88447958,88493583,88517559,88730296,89167096,89723236,89840726,90055675,90135367,90362635,90393338,90692486,90738585,90903715,91064192,91136780,91361082,91363526,91529846,91757479,91859383,92045324,92175975,92450410,92596886,92624703,92709378,92835735,93040519,93052362,93161366,93212940,93222912,94190966,94248292,94279435,94347206,94605496,94966406,95098315,95211730,95219383,95368036,95368147,95416935,95575018,95647252,95727446,95802758,95837922,96044265,96093955,96156055,96233160,96620463,96625207,96650620,96669693,96787824,96816252,97025851,97278758,97606327,97924166,97993815,98072623,98135290,98321040,98443419,98603580,98837919,99024784,99042758,99280635,99427136,99526036,99650122,99821583,...,124817767304399663093762961981469022158905751847339930686620405889345814338247823919134292949788326133338343579793358516581184083467133318386240850229695253879809042310614245065605979681777979199257519524886686449474517164466937135573005231748262380743149975785021591688514763040062074639414255580824573519871409733840890088076172535412112664383285470480172864616070924500929809744957944463143448896765635271859970743221911251795786932832078882227321236693332193496896962101990787876043418757261007415121973650505039299532189388206305531111429442674721769374721116695160561976589541699246338570673422521351516060848203415270311208812709217527515230988835505111871721143644036685700267273476373217165342359707244540295071183751941014607813115930698908189306510117277158829687023807995223502440710392336124629312796821495234000237349663915923123738044092509287097244660928894155251874946179500806655976774267301338159649930607581890432335153551700364319591704719226040634287886681731441316010400715492135878312373868549807940579223779437141333725586321740242972581860380594865913183332147218250466738408724413030561008296392041132497886987429934323865240219634099157138148738731264143503983363872648623253937779001167318625236696862072137185175196398012894851705796532758339915647718279499157974028626758041018831370276099385024879695177704195440119219905771424565150433278064755817039188112242849861937648793365052762179507992395877937760334820047679639941930190016513540101618241741996197840654856466986351619786389538850145669691746389775867612999211401956986189491841319405502638301344855327445525346451838365894741745328998529390154670864766531189516410803583181650411334524180522141682638310896885307823222265376962368545027250037042851039004678229702682799794948565969782537687134052782295251319778026965532694131544253607258048941369201896210608155950262744470782729436207265848027628929870992588755502692365170506414209833907957074847816499077453211208268191104998085845561081970044843523971702630233971161525709150487906363150992411507034720661520872356091855286136074242966438764433259474486984384717846813684522289676483946313466391239485643183654188884949035580164894099941002958977538829358979697826583696141359465604533871165723378096894275161887710058707307165401116051335095396522558326592589739428196394145662522560814655081545501565148957335834182572418978292443887832786158081935028528429816998703529}
15199   644072958556827856376545064431814434920699876230753438847254592: {15199,121544,136737,531545,637854,759350,911220,971968,1046937,1093464,1230147,2018009,2136009,2564237,2679249,2882870,3289937,3459444,3611174,4033569,4339478,4559849,4699910,5113137,5158820,5473121,5519165,5616569,5639892,6155366,6190584,6460937,6514070,6622998,6964407,7286669,7343732,7515137,7771865,7816884,8023670,8064129,8695526,8793380,8922761,9066278,9229910,9249929,9326238,9628404,9794006,10193889,10552056,10669337,10724169,10735910,11045944,11066609,11075892,11144177,11231654,11508329,11517969,11793281,11871063,12250265,12331286,12366929,12422180,12426687,12498206,12883092,12883289,13586765,13609961,13810937,14149929,14546657,14646569,14700318,14793675,14906616,15241910,15342932,15514889,15653726,15680477,15718737,15779920,15807065,15967046,16045220,16102097,16304118,16440470,16694198,16769943,16950641,17020137,17355257,17524815,17526116,17554334,17752410,17854580,18290292,18497414,18693136,18811289,18815846,18935904,18968478,19254264,19606737,19728564,19729910,19864209,20196137,20220665,20850518,20862875,20923670,20953409,21029778,21040217,21103766,21148329,21302892,21364109,21425496,21661047,22031297,22130294,22142237,22594334,22666601,22851545,22938557,23366609,23583446,23675892,23851814,24103683,24264798,24461769,24715137,24968289,25035450,25077620,25108404,25222337,25463798,25518881,25763174,25958537,26021695,26255966,26704480,26873270,26879780,27023966,27207545,27216326,27421854,27484289,27641165,27797969,27930269,28100009,28239609,28366996,28489737,28567337,28739649,28871654,29372045,29488089,29505689,29873828,29929118,29958136,30042540,30093144,30332726,30643409,31226034,31303316,31364777,31388728,32045376,32055284,32247924,32255736,32277620,32471126,32587958,32599889,32649054,33169398,33380870,33446937,33674045,33702903,33764237,33850804,33854787,34074020,34082957,34102265,34178078,34573481,34917249,35246454,35285492,35312319,35649489,35707937,36031910,36051048,36154646,36261449,36287703,36322889,36371174,36613815,36864998,37173850,37471478,37495574,38584577,38733144,39054736,39263270,39298889,39607958,39624497,39636365,39644057,39845848,40057044,40142870,40408854,40481409,40524280,40557429,40561286,40720737,40758686,40888824,40922718,40987156,41219846,41245220,41454977,41944214,42038475,42201956,42323729,42400349,42552761,42570868,43238292,43265897,43339089,43530137,43574787,43587875,43851965,43936578,44087609,44526989,44608620,44734529,44826579,44841040,45335969,45589815,45665366,45946265,45999927,46440329,46507649,46559774,46571270,46781465,46867449,47115924,47345537,47529735,47536937,47563638,47582528,47607821,47636249,47963812,48031565,48171444,48358676,48629136,48789734,48840376,48961137,49332689,49494264,49635389,49743734,49877789,49886049,49957337,50026046,50107865,50258715,50446170,50687489,50698384,50709158,50920868,51021737,51216569,51270518,51496329,51802070,51958820,52305450,52315529,52495646,52622358,52799654,52999565,53105500,53364975,53448566,53530344,53551137,53556916,53609296,53703209,53778369,53795537,53809248,54644045,54707778,54835574,54911289,54945423,55052657,55135518,55148852,55261406,55681047,55792480,55885524,55966049,56081369,56101517,56137758,56141270,56282957,56283737,56691545,56712729,56922640,57035682,57074132,57139478,57285976,57617438,57637878,57652889,57865526,58317437,58440137,58553080,58682486,59167137,59249654,59382089,59388969,59537247,59583569,59832377,59897597,60010721,60129438,60221637,60310458,60462470,60535404,60589961,60708749,61062494,61107494,61155849,61164365,61188449,61275149,61384337,61595409,62162484,62185910,62350584,62766540,63372809,63599478,63726600,63836657,63906470,64037970,64315937,64446723,64552696,64648137,64765670,64783166,64998854,65051801,65203814,65290337,65485049,65572854,65872215,65930966,65943489,66076276,66170369,66490721,66509537,66669737,66833368,66950976,67028852,67040729,67273574,67369524,67692664,67909910,67975040,68029854,68307168,68354189,68385977,68399009,68405681,68723409,68830358,69147849,69197609,69699620,69994137,70029158,70144407,70199321,70263696,70294577,70475270,70574455,70772045,70877675,70982516,71196401,71465780,71544759,71645177,71692425,71828237,72107294,72353165,72554964,72621783,72855257,72869009,72936596,73397238,74052737,74321465,74540606,74623092,74701095,74736470,74828429,74993780,75149249,75187539,75319848,75353366,75865000,76147046,76154247,76179448,76471920,76509880,76671545,76687764,76718870,76845564,76873937,77487135,77617118,77639009,77718804,78021209,78266417,78287078,78469329,78591326,78725849,79008665,79046658,79117949,79675529,79681168,80101169,80217437,80435849,80625172,81169528,81479289,81491892,81570048,82075449,82361270,82652944,82766669,82779809,82802596,82875929,83044637,83194886,83224214,83485910,83566577,83639544,83694686,84161129,84204015,84244737,84408566,84570324,84689346,84734829,84781238,84926454,85053210,85130488,85243814,85348125,85433764,85667595,85701879,85758936,85942265,86019869,86030910,86073615,86194137,86344478,86352856,86646686,86765492,86823798,86967849,86998744,87160737,87296420,87412070,87691910,87860921,88121937,88276214,88403791,88414049,88617737,88887009,88929875,89055806,89185758,89508975,89641314,89677315,89683764,89743865,89756609,89817616,89992536,90286838,90573158,90723424,91038000,91069937,91315719,91378768,91460894,91631165,91766304,91811856,91879910,92005854,92030008,92062644,92096798,92343761,92547380,92602934,92661926,92782456,92984562,93059369,93271910,93468566,93550070,93871337,94094487,94394680,94810398,94992734,95039729,95381944,95476240,95693619,95771799,95772470,96012137,96258974,96478803,96529737,96660137,96662249,96664361,96711609,97107200,97146963,97526678,97668806,97712870,97833737,97873587,98079929,98107337,98344361,98639732,98833524,98896216,99232409,99301695,99444689,99948369,...,166423689739199550791683949308625362878541002463119907582160541185794419117663765225512390599717768177784458106391144688774912111289511091181654466972927005173078723080818993420807972909037305599010026033182248599299356219289249514097340308997683174324199967713362122251353017386749432852552340774432764693161879645121186784101563380549483552511047293973563819488094566001239746326610592617524598529020847029146627657629215002394382577109438509636428315591109591329195949469321050501391225009681343220162631534006719066042919184275074041481905923566295692499628155593547415968786055598995118094231230028468688081130937887027081611750278956703353641318447340149162294858192048914267023031301830956220456479609659387060094911669254686143750821240931877585742013489702878439582698410660298003254280523114832839083729095326978666983132885221230831650725456679049462992881238525540335833261572667742207969032356401784212866574143442520576446871402267152426122272958968054179050515575641921754680534287322847837749831824733077254105631705916188444967448428986990630109147174126487884244442862957667288984544965884040748011061856054843330515983239912431820320292845465542850864984975018858005311151830198164338583705334889758166982262482762849580233595197350526468941062043677786554196957705998877298704835677388025108493701465846699839593570272260586825626541028566086867244370753007756052250816323799815916865057820070349572677323194503917013779760063572853255906920022018053468824322322661597120873141955981802159715186051800194226255661853034490150665615202609314919322455092540670184401793140436594033795269117821192988993771998039186872894486355374919355214404777575533881779365574029522243517747862513743764296353835949824726703000049390468052006237639603577066393264754626376716916178737043060335093037369287376925508725671476344065255158935861614144207933683659294376972581609687797370171906494656785007336923153560675218946445210609433130421998769937614944357588139997447794081442626726458031962270173645294882034278867317208484201323215342712960882027829808122473714848098990621918352577679299315979179623795751579363052901978595084621854985980857578205585179932047440219858799921337278636718439145306263768778261521812620806045161554297837462525700215850280078276409553868154735113460528696744435456786319237595192194216696747752873442060668753531943114445576763225304389925183777048210775913371371239755998271372}
15200   646969770456628687448383318871394869526301001906489918062404533: {106351,151930,182316,197431,334114,850472,923479,956781,1121914,1139025,1194559,1214960,1366830,1395916,1457952,1640196,1644919,1786402,1846714,1914271,2027554,2093479,2848012,2929594,3229474,3572332,4045759,4126714,4133671,4324305,4612592,4659631,4921639,5020354,5182999,5189166,5378092,5416761,5436154,5530471,5617159,6221959,6394111,6448525,6509217,6817516,6823231,6855802,7049865,7165231,7209274,7503394,7519856,7738230,8015191,8031802,8254112,8353159,8459838,8830664,8857951,9143074,9179665,9233049,9259714,9285876,9360151,9665201,9771105,9841954,9934497,10306594,10422512,10686679,10752172,10851199,10885954,10991725,11015598,11097439,11669479,11725326,11867194,12035505,12237991,12318919,12384802,12434984,12561271,12729154,12837872,12958402,12963751,13043289,13124239,13190070,13473274,13587514,13591852,13599417,13758754,13807430,13844865,13989357,14069408,14298892,14442606,14669602,14691009,14767856,14870599,15357292,15418951,15527725,15730711,15828084,15858874,15886159,16103865,16356494,16427959,16568916,16613838,16647802,16704034,16812799,16847481,16872634,17177456,17272231,17713474,17804959,18032191,18334159,18409471,18496929,18633270,18662074,18747309,18828994,18866572,19178665,19217914,19324638,19600424,19724900,19875488,20056525,20195359,20415679,20545402,20820802,20927239,20958316,21362911,21699394,21738824,21867919,21907645,21973114,22050477,22318225,22359924,22512031,22682914,22693516,22862865,22955194,23014398,23220871,23281402,23335714,23366420,23480589,23642719,23669880,23823802,23922511,23950569,23992279,24067830,24131599,24387056,24456177,24580474,24660705,24823879,24961471,25041297,25119034,25247872,25291304,25645111,25672352,25848799,26142316,26213369,26289174,26304752,26331501,26485612,26590111,26628615,26723959,26781870,26990791,26991394,27435438,27465137,27746121,27787834,27915631,28039704,28158274,28197772,28223769,28403856,28452717,28567328,28826359,28881396,28949434,29422402,29468239,29592846,29594865,29595751,29684602,29786479,30165991,30417559,30480271,30781474,31103431,31186177,31275777,31347025,31385505,31456954,31544667,31567856,31655649,31780591,31954338,32138244,32353064,32615692,32929711,32953516,33195441,33227791,33262114,33291052,33308717,33346519,33380600,33477872,33583111,33599725,33620794,33642079,33877231,33891501,34172894,34227799,34386754,34402111,34633519,34865117,35263951,35375169,35458745,35513838,35554234,35777721,35907874,36059194,36397197,36562472,36612802,36663034,36939031,37342285,37447670,37553175,37616430,37652812,37662606,37813954,37986316,38073031,38195697,38319532,38609602,38644761,38654359,38857402,38915719,39129145,39235910,39317452,39381631,39383949,39598402,39790879,39795394,39892471,40056720,40069105,40124192,40309905,40319670,40347025,40535949,40595551,40694839,40776514,40824489,40825402,40941799,41040079,41132781,41362114,41623711,41634712,41815951,41863831,42284602,42313505,42338671,42526591,42550494,42592525,42620119,42727168,42735329,42806311,42816034,42997232,43007648,43008802,43307481,43532072,43537594,43674991,43681474,43988479,44016634,44106865,44225864,44361086,44386351,44595916,44810742,44821591,44893677,44937204,44993671,45063810,45139716,45164599,45499089,45712159,45869602,45878191,46387834,46490551,46556332,46611079,46839051,46850191,46857274,46908134,46954974,46995272,46997794,47083092,47125879,47281831,47532652,47698234,47818591,47930914,48068064,48082926,48230431,48255994,48371886,48383604,48416430,48451399,48524479,48706689,48777991,48818420,48881937,48949954,48973581,49482871,49640314,49754097,49777954,49807310,49869634,49925599,50071305,50092639,50125229,50281402,50555194,50647111,50655350,50691874,50774551,50776206,51111030,51119071,51233945,51237154,51267117,51303319,51514999,51544951,51556525,51644192,51644602,52128871,52157311,52320802,52752445,52869681,52928238,52977031,53003239,53038114,53055439,53157841,53213585,53261359,53362591,53395234,53409392,53437759,53586151,53635039,53662402,53683639,53878472,53969191,53975212,54047865,54076572,54108079,54231969,54289231,54294316,54443959,54518432,54556761,54563624,54700999,54721951,54769402,54805039,54947671,54989602,55297497,55335751,55409911,55428271,55482919,55607911,55660399,55760775,55797199,55880359,55993759,56009671,56051300,56164831,56207217,56224879,56243361,56269159,56312791,56345914,56368598,56369959,56480839,56483609,56507839,56663791,56701159,56713471,56797639,56832631,56878279,56900671,56911759,57008311,57089239,57156271,57228559,57245911,57279751,57359311,57389119,57445279,57605551,57628231,57651056,57682159,57688711,57724279,57740119,57744871,57758479,57785452,58030402,58099716,58479197,58582104,58894905,58927354,59054914,59231081,59411937,59478160,59521402,59768772,59954765,60085566,60214305,60448345,60532474,60613281,60786420,60841929,60951034,61050470,61138029,61201402,61333236,61384077,61409602,61480734,61783354,61829769,61867830,62279674,62489932,62650402,62821232,62916321,63019834,63302934,63372980,63418184,63651085,63856302,64228592,64282402,64524994,64646074,64838848,64857438,64948525,65088802,65155849,65281516,65689402,65904867,65928634,65992352,66381875,66514732,66642874,66657017,66682402,66912930,66919234,66946145,67011620,67234114,67261560,67626274,67704514,67860802,68289274,68498049,68661772,68936065,68986234,69217402,69371194,69721022,69740600,69792802,69839661,69856905,70163144,70402594,70673886,71023337,71094257,71153300,71271994,71342665,71345457,71373792,71401516,71497402,71607470,71647354,71704492,71745664,71945718,72257166,72321326,72393274,72538014,72652834,72943704,73184601,73191350,73206394,73215052,73260564,73514024,73865914,73938874,74084602,74241396,74427037,74489177,74514032,74615601,74628802,74809402,74850344,75039069,75094657,75558749,75616972,75669255,76047576,76063737,76123901,76381302,76558114,76628674,76850504,76905777,77085754,77295802,77703105,77783674,77818402,77938230,78026434,78458175,78543994,78590414,78743469,78889516,78933537,79057954,79185292,79199481,79382996,79534402,79658250,79737634,79956422,80075074,80100449,80172584,80172849,80295516,80335374,80413944,80526257,80690870,80713872,81184649,81342754,81541132,81869602,82061667,82127212,82164154,82253361,82554874,82595345,82703277,82723278,82883312,82892109,83134112,83200954,83459201,83541710,83688720,83786065,83828286,84206637,84211905,84615830,84631234,84799304,84968800,85100794,85225402,85383960,85504834,85553523,85611198,85709217,85928964,86029114,86049997,86197516,86426157,86456817,86534189,86798289,87124525,87334594,87430472,87783034,87829620,87842554,87924652,88023729,88286914,88404802,88728145,88815394,88874481,89267968,89332225,89598394,89826032,89885434,89971234,90194157,90284602,90465687,90693705,90706472,90708802,90803106,91076224,91157314,91170745,91380034,91407802,91546402,91593741,91631212,91661241,92197132,92532514,92640802,92681582,92937274,93178402,93205114,93243726,93278865,93325516,93525876,93577402,93684928,93742225,94149810,94208314,94234402,94651661,94831250,95137402,95224310,95393012,95399217,95587646,95589900,95637350,95859705,96056955,96368674,96739952,96829044,96860194,97103554,97148505,97174749,97393474,97465594,97498281,97805721,97862984,97966402,98085581,98359281,98896449,98923834,99114414,99497456,99601460,99809602,...,249635534608799326187525923962938044317811503694679861373240811778691628676495647838268585899576652266676687159586717033162368166934266636772481700459390507759618084621228490131211959363555958398515039049773372898949034328933874271146010463496524761486299951570043183377029526080124149278828511161649147039742819467681780176152345070824225328766570940960345729232141849001859619489915888926286897793531270543719941486443822503591573865664157764454642473386664386993793924203981575752086837514522014830243947301010078599064378776412611062222858885349443538749442233390321123953179083398492677141346845042703032121696406830540622417625418435055030461977671010223743442287288073371400534546952746434330684719414489080590142367503882029215626231861397816378613020234554317659374047615990447004881420784672249258625593642990468000474699327831846247476088185018574194489321857788310503749892359001613311953548534602676319299861215163780864670307103400728639183409438452081268575773363462882632020801430984271756624747737099615881158447558874282667451172643480485945163720761189731826366664294436500933476817448826061122016592784082264995773974859868647730480439268198314276297477462528287007966727745297246507875558002334637250473393724144274370350392796025789703411593065516679831295436558998315948057253516082037662740552198770049759390355408390880238439811542849130300866556129511634078376224485699723875297586730105524359015984791755875520669640095359279883860380033027080203236483483992395681309712933972703239572779077700291339383492779551735225998422803913972378983682638811005276602689710654891050692903676731789483490657997058780309341729533062379032821607166363300822669048361044283365276621793770615646444530753924737090054500074085702078009356459405365599589897131939565075374268105564590502639556053931065388263088507214516097882738403792421216311900525488941565458872414531696055257859741985177511005384730341012828419667815914149695632998154906422416536382209996171691122163940089687047943405260467942323051418300975812726301984823014069441323041744712183710572272148485932877528866518948973968769435693627369044579352967892626932782478971286367308377769898071160329788199882005917955077658717959395653167392282718931209067742331446756193788550323775420117414614330802232102670190793045116653185179478856392788291325045121629310163091003130297914671668365144837956584887775665572316163870057056859633997407058}
15201   649879507163496881974666606377692838118116225517727387035437931: {30398,227895,243088,273474,501171,744163,1063090,1275708,1518700,1682871,1744895,1822440,1943936,2050245,2093874,2186928,2460294,2679603,2770071,2837351,3041331,3560015,4036018,4272018,4394391,4465415,4836359,4844211,5128474,5358498,5765740,5927951,6190071,6579874,6722615,6832199,6918888,7222348,7530531,7726831,7783749,8067138,8154231,8521895,8678956,8824871,9119698,9399820,9820019,10104383,10226274,10283703,10317640,10813911,10880611,10946242,11038330,11233138,11255091,11279784,11607345,12047703,12094463,12310732,12368563,12381168,12689757,12921874,13028140,13170391,13245996,13440215,13633031,13714611,13792691,13889571,13928814,14274191,14548579,14573338,14687464,14762931,14783879,15030274,15459891,15543730,15633768,16047340,16128258,16328931,16356611,16523397,16989815,17150371,17391052,17525239,17586760,17587989,17752691,17800791,17845522,17873615,17990759,18132556,18459820,18499858,18577203,18652476,18740711,19021471,19029751,19093731,19196615,19256808,19437603,19588012,19785105,20209911,20381271,20387778,20638131,20711145,21104112,21307511,21338674,21448338,21471820,21663909,22004403,22091888,22129891,22133218,22151784,22288354,22463308,22684871,23016658,23035938,23583215,23586562,23742126,23788311,24057511,24500530,24534741,24656125,24662572,24669731,24733858,24844360,24853374,24865711,24920757,24971703,24996412,25056051,25308951,25766184,25766578,25897511,26197895,26570211,27173530,27219922,27425063,27621874,27949905,27993111,28243491,28299858,28308931,28366895,28577351,28826871,28986957,29093314,29208025,29293138,29400636,29587350,29813232,30483820,30678271,30685864,30818103,31029778,31092959,31216183,31231203,31307452,31360954,31437474,31559840,31614130,31934092,31992163,32090440,32204194,32549091,32608236,32677895,32827511,32880940,32959671,33107015,33371363,33388396,33523031,33539886,33901282,34024371,34040274,34432791,34521597,34710514,34922103,35003571,35023871,35049630,35052232,35108668,35247215,35504820,35709160,35735703,36101745,36430373,36529319,36580584,36870711,36957859,36994828,37386272,37616591,37622578,37631692,37678551,37871808,37936956,38090563,38334791,38508528,38697631,38929223,39213474,39306179,39433761,39457128,39459820,39728418,40172805,40392274,40441330,40487091,40760791,40769615,41120863,41153157,41191895,41246579,41613815,41681751,41701036,41725750,41847340,41906818,42059556,42080434,42207532,42237411,42296658,42605784,42633263,42728218,42850992,43123939,43322094,43424151,43477171,44062594,44133603,44260588,44284474,44389269,44526903,45188668,45324511,45333202,45703090,45877114,46172211,46733218,46828951,47066015,47143663,47166892,47185431,47351784,47482895,47703628,47743171,47899415,47931507,48013031,48207366,48529596,48923538,49146815,49430274,49893171,49936578,50070900,50155240,50216808,50331971,50431191,50444674,50891119,50901059,50927596,51037762,51259341,51307031,51526348,51580131,51917074,52043390,52503923,52511932,53270757,53331351,53408960,53746540,53759560,53861811,54047932,54088791,54415090,54432652,54843708,54919203,54968578,54994551,55282330,55490911,55595938,55744895,55860538,56171505,56200018,56424645,56479218,56493909,56650723,56655731,56720931,56733992,56734751,56979474,57134674,57397471,57479298,57719063,57743308,57914403,58195415,58286103,58567619,58744090,58853865,58976178,59011378,59220911,59397603,59415815,59693091,59747656,59858236,59916272,60085080,60186288,60479505,60665452,61023025,61164771,61238103,61286818,61392751,61603351,62043171,62452068,62606632,62729554,62777456,62819431,63426903,63825741,64090752,64110568,64224051,64324771,64495848,64511472,64513203,64555240,64768579,64942252,65062231,65175916,65199778,65298108,65306391,65494051,65522211,66024951,66037511,66338796,66541629,66761740,66893874,67216113,67244191,67348090,67405806,67469015,67528474,67595715,67701608,67709574,67867895,68079539,68148040,68165914,68204530,68356156,68804403,69146962,69581751,69834498,69972419,70064125,70151011,70285911,70362201,70432461,70492908,70496691,70570984,70624638,70710991,71298978,71415874,71456591,71547351,71862131,71896371,72063820,72102096,72124389,72231815,72309292,72383991,72522898,72557829,72575406,72578959,72624645,72645778,72742348,72805799,73068271,73227630,73424931,73663351,73729996,74172071,74199391,74347700,74460471,74666931,74710965,74804451,74942956,74991148,75422103,75632051,75832791,75983025,76037811,76164309,76501663,76666545,76855731,77169154,77466288,77466903,78059171,78109472,78112415,78481203,78526540,78579943,78597778,79043303,79215916,79216225,79248994,79272730,79288114,79368163,79389299,79392357,79557171,79691696,80092851,80114088,80118263,80285740,80493603,80817708,80819791,80962818,81048560,81114858,81122572,81441474,81517372,81601895,81777648,81845436,81974312,82084291,82119683,82154103,82439692,82484403,82490440,82909954,83143415,83764525,83877631,83888428,84068039,84076950,84403912,84518871,84552897,84647458,84800698,85105522,85141736,85630111,85827215,86476584,86531794,86678178,87045603,87060274,87149574,87175750,87516871,87703930,87873156,88175218,88391031,88425943,88582371,88941625,89000831,89053978,89217240,89251895,89282103,89469058,89630615,89653158,89656391,89682080,90128349,90585011,90671938,90798711,91179630,91330732,91426551,91512839,91518815,91575705,91802103,91892530,91999854,92114403,92221101,92675031,92801745,92880658,93015298,93119548,93142540,93397939,93419511,93562930,93734898,93975603,94231848,94521215,94529751,94691074,94954401,95059470,95073874,95127276,95165056,95215642,95272498,95784453,95927624,96063130,96140099,96279311,96342888,96423603,96694463,96717352,96787491,96969111,97258272,97286157,97579468,97633203,97680752,97922274,98534103,98611895,98665378,98804237,98892951,98981615,98988528,99080863,99228745,99270778,99487468,99755578,99772098,99914674,99941119,99964311,...,374453301913198989281288885944407066476717255542019792059861217668037443014743471757402878849364978400015030739380075549743552250401399955158722550689085761639427126931842735196817939045333937597772558574660059348423551493400811406719015695244787142229449927355064775065544289120186223918242766742473720559614229201522670264228517606236337993149856411440518593848212773502789429234873833389430346690296905815579912229665733755387360798496236646681963710079996580490690886305972363628130256271783022245365920951515117898596568164618916593334288328024165308124163350085481685929768625097739015712020267564054548182544610245810933626438127652582545692966506515335615163430932110057100801820429119651496027079121733620885213551255823043823439347792096724567919530351831476489061071423985670507322131177008373887938390464485702000712048991747769371214132277527861291733982786682465755624838538502419967930322801904014478949791822745671297005460655101092958775114157678121902863660045194323948031202146476407634937121605649423821737671338311424001176758965220728917745581141784597739549996441654751400215226173239091683024889176123397493660962289802971595720658902297471414446216193792430511950091617945869761813337003501955875710090586216411555525589194038684555117389598275019746943154838497473922085880274123056494110828298155074639085533112586320357659717314273695451299834194267451117564336728549585812946380095158286538523977187633813281004460143038919825790570049540620304854725225988593521964569400959054859359168616550437009075239169327602838997634205870958568475523958216507914904034565982336576039355515097684225235986995588170464012594299593568549232410749544951234003572541566425047914932690655923469666796130887105635081750111128553117014034689108048399384845697909347613061402158346885753959334080896598082394632760821774146824107605688631824467850788233412348188308621797544082886789612977766266508077095511519242629501723871224543449497232359633624804573314994257536683245910134530571915107890701913484577127451463719089452977234521104161984562617068275565858408222728899316293299778423460953154153540441053566869029451838940399173718456929550962566654847106740494682299823008876932616488076939093479751088424078396813601613497170134290682825485663130176121921496203348154005286189567674979777769218284589182436987567682443965244636504695446872007502547717256934877331663498358474245805085585289450996110587}
15202   652802225883557175819101660326631187554265809341241858059322357: {45597,212702,303860,364632,394862,410211,440017,621601,668228,802897,1074301,1525201,1594635,1700944,1846958,1898375,1913562,2242897,2243828,2278050,2389118,2429920,2733660,2791832,2915904,3140811,3280392,3289838,3487777,3572804,3690441,3693428,3752701,3828542,3928957,4055108,4186958,4631101,5328637,5696024,5762257,5859188,6054027,6194077,6366301,6408027,6458948,6538237,6624097,6795601,7052317,7144664,7207175,7393597,7692711,8037747,8091518,8241757,8253428,8267342,8326177,8648610,9027935,9225184,9319262,9333601,9500497,9583837,9843278,9869811,9916477,10040708,10365998,10378332,10756184,10833522,10848695,10872308,11060942,11234318,11749775,12100707,12443918,12616801,12788222,12851531,12897050,13018434,13579297,13635032,13646462,13679547,13711604,14099730,14330462,14418548,14846497,15006788,15039712,15339411,15388415,15476460,16030382,16063604,16172701,16285175,16419363,16508224,16557495,16706318,16712737,16849707,16919676,17661328,17715902,17933857,18085201,18286148,18311677,18359330,18466098,18519428,18571752,18720302,18837601,18987217,19330402,19382811,19542210,19683908,19804957,19868994,19952701,20059175,20320801,20467537,20613188,20687101,20833117,20845024,20893221,21196897,21373358,21504344,21558877,21702398,21738815,21771908,21860007,21983450,22031196,22194878,22545411,22665695,23074775,23315595,23338958,23341777,23450652,23734388,24071010,24192387,24475982,24485015,24637838,24769604,24869968,24942301,25122542,25148257,25458308,25675744,25916804,25927502,26086578,26100817,26248478,26380140,26768283,26839357,26839775,26850131,26946548,27175028,27183704,27198834,27304801,27503197,27517508,27614860,27689730,27749787,27978714,28079135,28094497,28138816,28597784,28885212,29067037,29339204,29382018,29535712,29741198,29769937,30526801,30581667,30651937,30670703,30714584,30828215,30837902,30839101,31055450,31245515,31335037,31461422,31656168,31717748,31772318,32008011,32070301,32172507,32191837,32207730,32252497,32675101,32712988,32855918,33094177,33137832,33199827,33227676,33295604,33391357,33408068,33432531,33625598,33694962,33745268,33745597,33863101,34038817,34354912,34524987,34544462,34553907,34619857,34735201,34855139,35379843,35426948,35477917,35609918,35613189,36040957,36064382,36264157,36596797,36668318,36750795,36818942,36856391,36981601,36993858,37100787,37266540,37280061,37324148,37362877,37417057,37494618,37657988,37733144,38104775,38327101,38357330,38435828,38590801,38649276,38649867,39134315,39200848,39267997,39449800,39750976,39882301,39917615,40034257,40113050,40235857,40390718,40760295,40829883,40831358,41090804,41101175,41432811,41614801,41641604,41735495,41854478,41916632,41950717,42449787,42705277,42725822,43167517,43350397,43398788,43477648,43577377,43639971,43712701,43735838,43815290,43885835,43936801,43939707,43946228,44100954,44247517,44291617,44381025,44636450,44719848,44728657,45024062,45365828,45387032,45725730,45748177,45910388,46028796,46243535,46404817,46441742,46544667,46562804,46566097,46671428,46732840,46961178,47039615,47041431,47156211,47199697,47285438,47339760,47421195,47647604,47662801,47845022,47901138,47928157,47984558,48115537,48135660,48263198,48306291,48774112,48912354,49025437,49160948,49202017,49321410,49324775,49376797,49642243,49647758,49922942,50082594,50238068,50309829,50322301,50420257,50495744,50582608,50646301,50710237,50851923,51056737,51060411,51118801,51211357,51272701,51290222,51344704,51515197,51697598,52065771,52126295,52279199,52284632,52299601,52309175,52355617,52383517,52426738,52574445,52578348,52609504,52663002,52712701,52759415,52926397,52971224,53180222,53257230,53289277,53447918,53563740,53662417,53972701,53981582,53982788,54042577,54203101,54315601,54470077,54747601,54780803,54809917,54870876,54930274,55150801,55304017,55325735,55492242,55575668,55649437,55736017,55820797,55831262,56000977,56079408,56096747,56217697,56316548,56395544,56433867,56447538,56448097,56485835,56608801,56807712,56823899,56887837,56905434,56943457,56965201,57099517,57134656,57185377,57299101,57363037,57378301,57393277,57502717,57533137,57544801,57608737,57652718,57654097,57674077,57711697,57762792,57764797,57770017,57773437,57898868,58820211,58844804,58936478,58958615,59185692,59189730,59191502,59238907,59369204,59572958,59592627,59629535,60331982,60588411,60661995,60835118,60960542,61562948,61749611,62206862,62372354,62551554,62588625,62694050,62771010,62822903,62860227,62913908,63089334,63120651,63135712,63311298,63444987,63561182,63659495,63908676,64092327,64276488,64407935,64706128,64983141,65231384,65639915,65859422,65907032,66093891,66390882,66426711,66455582,66524228,66582104,66617434,66693038,66761200,66955744,67166222,67183175,67199450,67241588,67284158,67559915,67754462,67783002,67999803,68040815,68345788,68455598,68554635,68773508,68804222,68815671,69267038,69730234,70099827,70527902,70750338,70917490,71027676,71108468,71555442,71727523,71815748,72118388,72179135,72311049,72794394,72821243,73124944,73225604,73326068,73385307,73853423,73878062,74145411,74499019,74684570,74822795,74895340,74904867,75104579,75106350,75232860,75305624,75325212,75627908,75667011,75831815,75972632,76146062,76391394,76556643,76639064,77002367,77219204,77289522,77308718,77714804,77831438,77875611,78065085,78258290,78471820,78634904,78757811,78763262,78767898,79196804,79581758,79590788,79784942,80113440,80138210,80248384,80619810,80639340,80694050,81071898,81177815,81191102,81389678,81469895,81553028,81622635,81648978,81650804,81883598,82080158,82265562,82452867,82724228,82923495,83183159,83247422,83269424,83393907,83452175,83631902,83727662,83790807,83936671,84300027,84569204,84627010,84627683,84677342,84718827,85053182,85100988,85185050,85240238,85445195,85454336,85469211,85470658,85612622,85632068,85702011,85994464,86015296,86017604,86218947,86614962,87064144,87075188,87349982,87362948,87976958,88033268,88116135,88213730,88451728,88464267,88517067,88722172,88748231,88772702,89111519,89191832,89621484,89643182,89787354,89874408,89987342,90079775,90127620,90279432,90329198,90386615,90927935,90998178,91424318,91739204,91756382,91930227,92162495,92775668,92934625,92981102,93112664,93222158,93678102,93678695,93700382,93714548,93724603,93738935,93816268,93909948,93990544,93995588,94094331,94166184,94251758,94563662,94664167,95065304,95396468,95637182,95861828,96136128,96165852,96460862,96510491,96511988,96743772,96767208,96832860,96902798,97048958,97413378,97555982,97636840,97763874,97799667,97899908,97947162,98158175,98965742,99019895,99280628,99508194,99555908,99614620,99739268,99851198,99879731,...,499271069217598652375051847925876088635623007389359722746481623557383257352991295676537171799153304533353374319173434066324736333868533273544963400918781015519236169242456980262423918727111916797030078099546745797898068657867748542292020926993049522972599903140086366754059052160248298557657022323298294079485638935363560352304690141648450657533141881920691458464283698003719238979831777852573795587062541087439882972887645007183147731328315528909284946773328773987587848407963151504173675029044029660487894602020157198128757552825222124445717770698887077498884466780642247906358166796985354282693690085406064243392813661081244835250836870110060923955342020447486884574576146742801069093905492868661369438828978161180284735007764058431252463722795632757226040469108635318748095231980894009762841569344498517251187285980936000949398655663692494952176370037148388978643715576621007499784718003226623907097069205352638599722430327561729340614206801457278366818876904162537151546726925765264041602861968543513249495474199231762316895117748565334902345286960971890327441522379463652733328588873001866953634897652122244033185568164529991547949719737295460960878536396628552594954925056574015933455490594493015751116004669274500946787448288548740700785592051579406823186131033359662590873117996631896114507032164075325481104397540099518780710816781760476879623085698260601733112259023268156752448971399447750595173460211048718031969583511751041339280190718559767720760066054160406472966967984791362619425867945406479145558155400582678766985559103470451996845607827944757967365277622010553205379421309782101385807353463578966981315994117560618683459066124758065643214332726601645338096722088566730553243587541231292889061507849474180109000148171404156018712918810731199179794263879130150748536211129181005279112107862130776526177014429032195765476807584842432623801050977883130917744829063392110515719483970355022010769460682025656839335631828299391265996309812844833072764419992343382244327880179374095886810520935884646102836601951625452603969646028138882646083489424367421144544296971865755057733037897947937538871387254738089158705935785253865564957942572734616755539796142320659576399764011835910155317435918791306334784565437862418135484662893512387577100647550840234829228661604464205340381586090233306370358957712785576582650090243258620326182006260595829343336730289675913169775551331144632327740114113719267994814116}
15203   655737984074106755586539429724279213674270831007372610686263728: {60796,319053,379825,455790,486176,546948,592293,835285,1002342,1488326,2126180,2442853,2551416,2770437,2804785,2870343,3037400,3171157,3353233,3365742,3417075,3489790,3583677,3644880,3887872,4100490,4187748,4373856,4466005,4616785,4920588,4934757,4984021,5068885,5169901,5359206,5540142,5674702,5715697,5742813,6082662,6251581,6280437,6625357,7120030,7165477,7323985,8072036,8073685,8074417,8544036,8788782,8826037,8930830,9411661,9528721,9672718,9688422,10152901,10256948,10316785,10429393,10716996,10801237,11531480,11605477,11809501,11855902,11930653,12096061,12137277,12380142,12401013,12550885,12972915,13159748,13445230,13517341,13590385,13664398,13837776,13978893,14276077,14444696,14764917,14970493,15061062,15236917,15453662,15548997,15567498,16134276,16242001,16250283,16300453,16308462,16591413,16766101,16851477,17043790,17139505,17357912,17471857,17649742,18023185,18084517,18239396,18665877,18758485,18799640,18816301,18868357,19182333,19231501,19345575,19527651,19640038,20079505,20208766,20288701,20452548,20469693,20519197,20567406,20635280,20980453,21149595,21495693,21627822,21702901,21761222,21892484,22076660,22148113,22466276,22510182,22559568,22857685,23016037,23149285,23214690,23240977,23785741,23814277,24045573,24095406,24188926,24604885,24621464,24737126,24762336,25023061,25059477,25364653,25379514,25418401,25766485,25843748,26056280,26340782,26410333,26491992,26573853,26809393,26875261,26880430,27214885,27266062,27429222,27438517,27538995,27585382,27699147,27779142,27857628,27937681,28080453,28548382,28944277,28955233,28995603,29097158,29146676,29313315,29352901,29374928,29525862,29560597,29567758,29667985,29803491,30060548,30651541,30891277,30919782,30962005,31087460,31267536,31822885,31968817,32060037,32094680,32256516,32396005,32553597,32657862,32713222,32975175,32978581,33016501,33046794,33237301,33292317,33650173,33683185,33773233,33968785,33979630,34300742,34396885,34428853,34518575,34782104,35008437,35050478,35173520,35175978,35505382,35601582,35691044,35717413,35747230,35981518,36106515,36265112,36324037,36674005,36677053,36713973,36718957,36919640,36956757,36999716,37094653,37154406,37304952,37466917,37481422,37683813,37767601,38042942,38059502,38187462,38311237,38393230,38513616,38875206,38891253,39129867,39176024,39372717,39570210,39635101,39647185,39713653,40419822,40762542,40775556,40798251,40891235,41276262,41422290,41534595,41613997,41619505,41760085,41968071,42181585,42208224,42411601,42615022,42677348,42896676,42943640,43189597,43327818,43929901,43969813,44008806,44073027,44148817,44153233,44157157,44183776,44259782,44266436,44283685,44303568,44576708,44611797,44926616,45304753,45369742,45749053,46033316,46071876,46256853,46319893,46349821,46452757,46583175,46655185,47072485,47166430,47173124,47189557,47192133,47484252,47576622,47648941,47658477,48044785,48115022,48311595,48745957,48853837,49001060,49069482,49283877,49312250,49325144,49339462,49346101,49354897,49467716,49648561,49688720,49706748,49731422,49841514,49943406,49992824,50112102,50438397,50542443,50617902,51228397,51363505,51511237,51532368,51533156,51749773,51795022,51816693,52052005,52395790,53140422,53414877,53559733,53809813,54096573,54248485,54283717,54347060,54439844,54850126,54932785,55001377,55002477,55228413,55243748,55490787,55899810,55980901,55986222,56241927,56298733,56486982,56599716,56617862,56707285,56733790,56742673,56982277,57077461,57154702,57387985,57535995,57653742,57664933,57668653,57973914,58186628,58203505,58227601,58259341,58332913,58339285,58416050,58586276,58799773,58801272,59174700,59559505,59599381,59626464,60155797,60169575,60586077,60729661,60967640,61247037,61356542,61371728,61451185,61636206,61755397,62059556,62185918,62367601,62432366,62462406,62614904,62721908,62781717,62797585,62874948,62936593,63119680,63140797,63228260,63868184,63984326,64088733,64180880,64408388,64509541,65098182,65216472,65224801,65355790,65603757,65655022,65722935,65761880,65892421,65919342,66151431,66188077,66214030,66476053,66508717,66720733,66742726,66776792,66954675,66956773,67046062,67059181,67079772,67271857,67478485,67536093,67802564,67887973,68048742,68080548,68372401,68404501,68588595,68805541,68865582,69043194,69216277,69258853,69421028,69469585,69662613,69844206,70007142,70047742,70099260,70104464,70217336,70297117,70395685,70441767,70494430,70928157,71009640,71042737,71242237,71418320,71471406,71767533,71851707,71976837,72203490,72373585,72394797,72644557,72860746,72871573,73058638,73161168,73368531,73556005,73741422,73753717,73915718,73982115,73989656,74211505,74471637,74700901,74772544,74884413,75123891,75233182,75245156,75263384,75357102,75743616,75873912,75922501,76181126,76669582,76714453,76935333,76953685,77017056,77387473,77395262,77522797,77546397,77653501,77858446,78042853,78426948,78612358,78640107,78642385,78746917,78867522,78914256,78919640,78994503,79456836,79770333,79885845,80100973,80129041,80171877,80345610,80457637,80731501,80784548,80882660,80972373,80974182,81473581,81521582,81539230,81722737,82210117,82241726,82306314,82383790,82395411,82493158,82694677,82788721,82806877,82898197,82990837,83155285,83182141,83227630,83238363,83363502,83402072,83451500,83694680,83709733,83746893,83813636,84051985,84119112,84160868,84390757,84415064,84432277,84474822,84593316,84671307,84927973,85211568,85266526,85358151,85432235,85456436,85701984,85966885,86043217,86185117,86247878,86479077,86644188,86848302,86954342,88125188,88209853,88267206,88404717,88521176,88568948,88778538,88784595,88787253,88885585,89053806,89359437,89383333,89543941,89769685,90147985,90377336,90489181,90497973,90597397,90649022,90666404,91252677,91406180,91440813,91532005,91657585,91714417,91754228,91834501,92344422,93310293,93466436,93558531,93619175,93657902,93823717,93827331,93929233,94041075,94132030,94156515,94287326,94333784,94370862,94456621,94534885,94634001,94703568,94965790,94966947,95015053,95341773,95407256,95486342,95798830,95863014,96026062,96153277,96414732,96461101,96524005,96688117,96964573,97059192,97143505,97847076,97852561,98089775,98106061,98293630,98396101,98789133,98860548,98996005,99353137,99471517,99488485,99586323,99683373,99786342,99873156,99926151,...,748906603826397978562577771888814132953434511084039584119722435336074886029486943514805757698729956800030061478760151099487104500802799910317445101378171523278854253863685470393635878090667875195545117149320118696847102986801622813438031390489574284458899854710129550131088578240372447836485533484947441119228458403045340528457035212472675986299712822881037187696425547005578858469747666778860693380593811631159824459331467510774721596992473293363927420159993160981381772611944727256260512543566044490731841903030235797193136329237833186668576656048330616248326700170963371859537250195478031424040535128109096365089220491621867252876255305165091385933013030671230326861864220114201603640858239302992054158243467241770427102511646087646878695584193449135839060703662952978122142847971341014644262354016747775876780928971404001424097983495538742428264555055722583467965573364931511249677077004839935860645603808028957899583645491342594010921310202185917550228315356243805727320090388647896062404292952815269874243211298847643475342676622848002353517930441457835491162283569195479099992883309502800430452346478183366049778352246794987321924579605943191441317804594942828892432387584861023900183235891739523626674007003911751420181172432823111051178388077369110234779196550039493886309676994947844171760548246112988221656596310149278171066225172640715319434628547390902599668388534902235128673457099171625892760190316573077047954375267626562008920286077839651581140099081240609709450451977187043929138801918109718718337233100874018150478338655205677995268411741917136951047916433015829808069131964673152078711030195368450471973991176340928025188599187137098464821499089902468007145083132850095829865381311846939333592261774211270163500222257106234028069378216096798769691395818695226122804316693771507918668161793196164789265521643548293648215211377263648935701576466824696376617243595088165773579225955532533016154191023038485259003447742449086898994464719267249609146629988515073366491820269061143830215781403826969154254902927438178905954469042208323969125234136551131716816445457798632586599556846921906308307080882107133738058903677880798347436913859101925133309694213480989364599646017753865232976153878186959502176848156793627203226994340268581365650971326260352243842992406696308010572379135349959555538436569178364873975135364887930489273009390893744015005095434513869754663326996716948491610171170578901992221174}
15204   658686839444709237674759510761329589996135009646774268515743000: {75995,91194,167123,258179,425404,470363,607720,651923,683685,729264,789724,820422,880034,1014179,1104563,1243202,1255043,1336456,1465379,1503513,1555403,1605794,1705283,1914779,1974563,2148602,2232489,2273003,2600363,2657725,2867483,3050402,3189270,3401888,3693916,3796750,3827124,3841379,4193363,4485794,4487656,4556100,4573379,4660883,4719179,4778236,4859840,5010179,5048613,5234685,5242403,5467320,5531963,5583664,5676443,5831808,6150735,6223643,6281622,6395843,6560784,6579676,6739379,6825083,6882179,6975554,7145608,7167179,7224083,7380882,7386856,7505402,7649843,7657084,7857914,8017379,8038809,8110216,8310213,8355443,8373916,8439779,8512053,8944283,9123993,9262202,9334883,9362723,9418379,9501803,9612923,10090045,10166603,10657274,10680045,10744523,10936379,11155163,11392048,11482379,11524514,11718376,12108054,12295379,12376283,12388154,12564779,12618563,12639109,12645443,12732602,12816054,12821185,12917896,13020923,13076474,13183173,13248194,13396245,13581203,13591202,13979243,14104634,14164379,14289328,14414350,14509077,14532633,14612363,14787194,14874803,15005723,15188173,15385422,15475379,15735179,15812963,16075494,16183036,16200803,16432643,16449685,16483514,16506856,16534684,16652354,16715123,17277179,17297220,17783853,17860643,17961683,18037379,18055870,18087803,18113003,18339443,18414779,18450368,18570213,18638524,18667202,18989963,19000994,19167674,19610363,19686556,19739622,19832954,19906379,19980203,20081416,20167845,20323763,20348243,20470523,20496597,20690123,20731996,20756664,20836163,21417443,21512368,21543781,21667044,21697390,21744616,21850379,21922283,22089779,22121884,22209179,22468636,22566179,22591593,22799245,23180493,23351247,23439083,23499550,23509379,23579603,23929643,23976179,24201414,24393563,24462693,24887836,24900179,24968963,25014779,25233602,25357379,25425683,25565685,25576444,25703062,25794100,26036868,26262179,26474613,26598179,26709779,26999003,27158594,27270064,27292924,27331043,27359094,27365605,27423208,27595825,27639323,27967883,28082845,28185923,28199460,28641203,28660924,28835243,28837096,29007179,29157203,29460057,29477363,29541179,29604923,29647379,29692994,29795723,30013576,30079424,30217403,30313149,30434341,30531563,30552443,30678822,30776830,30851109,30952920,30968363,31154483,31216379,31731973,32060764,32127208,32277803,32304685,32338379,32345402,32441733,32570350,32641833,32680283,32700323,32838726,32980043,33016448,33114990,33337379,33396683,33412636,33425474,33534779,33633179,33692123,33699414,33765273,33829379,33839352,33888083,34063763,34277603,34279021,34413179,34644683,34760003,34822035,35275379,35313323,35322656,35431804,35709803,35867714,35934779,36143109,36170402,36177203,36270083,36283389,36433345,36572296,36621203,36623354,36718660,36932196,36987683,37038856,37105689,37143504,37169723,37440604,37575685,37675202,37974434,38069271,38085683,38121179,38562179,38660804,38765622,38859203,38859325,39032843,39084420,39291803,39310789,39343379,39367816,39511173,39609914,39737988,39889043,39905402,39905963,40057883,40118350,40320645,40641602,40642523,40899093,40935074,41143833,41184779,41192437,41226376,41347379,41374202,41378073,41541443,41638043,41666234,41668713,41690048,41786442,41830379,41910179,42384779,42393794,42572603,42746716,42821243,42822573,43008688,43037123,43083179,43117754,43159501,43281923,43404796,43477630,43494443,43543816,43557553,43645737,43720014,43720403,43735403,43743721,43966900,44062392,44211179,44288793,44314163,44351637,44389756,44402123,44431379,44613805,44866379,45009779,45090822,45331390,45336563,45463283,45603323,45756443,45922379,46059779,46149550,46223603,46249645,46291523,46332179,46379673,46426763,46631190,46677916,46683554,46901304,47130179,47260379,47363963,47468776,47684363,47861603,48049763,48124523,48142020,48248483,48273179,48384774,48457379,48724283,48760379,48796403,48951964,48970030,48986793,48999179,49069833,49211363,49275676,49316483,49386203,49539208,49570191,49662203,49739936,49884602,50011883,50245084,50277323,50296514,50332043,50505803,50656163,50666843,50688179,50762603,50794379,50916616,50969445,50983523,51077123,51139163,51351488,51451113,51535403,51595283,51833608,51855004,51861179,52006379,52168763,52173156,52197179,52201634,52366163,52403363,52477379,52496956,52505003,52575717,52642043,52705379,52760280,52763967,52884179,52910723,52998683,53016179,53103179,53249243,53258073,53300243,53346685,53401379,53402373,53484779,53536566,53620845,53673563,53678714,53679550,53700262,53705963,53746283,53893096,53972277,53991803,54007379,54107843,54146123,54312179,54327083,54334523,54350056,54367408,54397668,54481643,54510683,54546803,54568379,54589883,54609602,54639779,54759323,54780179,54788041,54828563,54971363,54984779,55006394,55035016,55229720,55333045,55359923,55372379,55379460,55391003,55434179,55499574,55537403,55573283,55719683,55720885,55731609,55816379,55833203,55884661,55957428,55997483,56018843,56123723,56139179,56158270,56188994,56190179,56205323,56222133,56265179,56277632,56279963,56338379,56395643,56465603,56515763,56556083,56710883,56739779,56747963,56800379,56904923,56960483,56982203,57042179,57064413,57083123,57089253,57116363,57189779,57195568,57211283,57281193,57307379,57312923,57321179,57379523,57387179,57392243,57407243,57443483,57477923,57493379,57541403,57541645,57587003,57589845,57618179,57623123,57637523,57668603,57697379,57711443,57716963,57727403,57753923,57767603,57770424,57774779,57775763,57777179,57783179,57784163,57788723,57790043,58134074,58312809,58429693,58678408,58764036,58966405,59071424,59355315,59482396,59539874,60629733,61053602,61143813,61163334,61251325,61303874,61341406,61429168,61440169,61656430,61675804,61678202,61834645,61914393,62110900,62133435,62491030,62670074,62922844,63312336,63435496,63544636,63922533,64016022,64140602,64345014,64383674,64415460,64416445,64504994,64740949,64991727,65350202,65425976,65711836,65855461,66013209,66188354,66275664,66389673,66399654,66455352,66591208,66782714,66816136,66865062,67155517,67251196,67389924,67490536,67491194,67726202,67933825,68049805,68054613,68077634,68709824,69049974,69054685,69088924,69107814,69239714,69470402,69710278,70749645,70759686,70853896,70955834,71219836,71226378,71364933,72081914,72128764,72172533,72528314,72733285,72976813,73193594,73232845,73336636,73501590,73604223,73637884,73712782,73863181,73963202,73968375,73987716,74009193,74201574,74245249,74533080,74560122,74597133,74648296,74725754,74762271,74834114,74915109,74989236,75168153,75315976,75466288,75926853,76209550,76654202,76714660,76871656,77181602,77298552,77299734,77456029,77574445,77692533,78268630,78401696,78402385,78535994,78593685,78768217,78899600,79035325,79080169,79501952,79710633,79764602,79835230,80068514,80226100,80471714,80510485,80781436,81520590,81659766,81662716,82181608,82202350,82275189,82542061,82865622,83229602,83283208,83470990,83481349,83708956,83833264,83849715,83901434,83979333,84730473,84753205,84899574,84926793,85100685,85410554,85451644,85732053,86061469,86335034,86480613,86700794,86776285,86797576,86955296,86960871,87154754,87279942,87425402,87471676,87624075,87630580,87771670,87873602,87879414,87892456,88201908,88495034,88583234,88759957,88762050,89123293,89272900,89439696,89457314,90048124,90171109,90731656,90774064,91451460,91496354,91820776,91895881,92034813,92057592,92454309,92487070,92809634,92883484,92969413,93077413,93089334,93125608,93132194,93278877,93342856,93465680,93648549,93693609,93922356,94056445,94079230,94082862,94312422,94399394,94570876,94583881,94679520,94842390,95257141,95295208,95325602,95690044,95802276,95856314,95969116,95976489,96231074,96271320,96526396,96612582,97548224,97647273,97824708,98033685,98050874,98321896,98404034,98482533,98642820,98649550,98753594,98879013,99284486,99295516,99321045,99845884,...,1123359905739596967843866657833221199430151766626059376179583653004112329044230415272208636548094935200045092218140226649230656751204199865476167652067257284918281380795528205590453817136001812793317675723980178045270654480202434220157047085734361426688349782065194325196632867360558671754728300227421161678842687604568010792685552818709013979449569234321555781544638320508368287704621500168291040070890717446739736688997201266162082395488709940045891130239989741472072658917917090884390768815349066736097762854545353695789704493856749780002864984072495924372490050256445057789305875293217047136060802692163644547633830737432800879314382957747637078899519546006845490292796330171302405461287358954488081237365200862655640653767469131470318043376290173703758591055494429467183214271957011521966393531025121663815171393457106002136146975243308113642396832583583875201948360047397266874515615507259903790968405712043436849375468237013891016381965303278876325342473034365708590980135582971844093606439429222904811364816948271465213014014934272003530276895662186753236743425353793218649989324964254200645678519717275049074667528370192480982886869408914787161976706892414243338648581377291535850274853837609285440011010505867627130271758649234666576767582116053665352168794825059240829464515492421766257640822369169482332484894465223917256599337758961072979151942821086353899502582802353352693010185648757438839140285474859615571931562901439843013380429116759477371710148621860914564175677965780565893708202877164578077505849651311027225717507982808516992902617612875705426571874649523744712103697947009728118066545293052675707960986764511392037782898780705647697232248634853702010717624699275143744798071967770409000388392661316905245250333385659351042104067324145198154537093728042839184206475040657261878002242689794247183898282465322440472322817065895473403552364700237044564925865392632248660368838933298799524231286534557727888505171613673630348491697078900874413719944982772610049737730403591715745323672105740453731382354391157268358931703563312485953687851204826697575224668186697948879899335270382859462460621323160700607088355516821197521155370788652887699964541320221484046899469026630797849464230817280439253265272235190440804840491510402872048476456989390528365764488610044462015858568703024939333307654853767547310962703047331895733909514086340616022507643151770804631994990495075422737415256755868352988331761}
15205   661648849958293373941358897258583918626462678649050455913009491: {121592,136791,531755,638106,759650,911580,972352,987155,1093896,1169399,1184586,1230633,1320051,1670570,1864803,2004684,2408691,2976652,3222903,3747731,3926699,4252360,4575603,4617395,4783905,4885706,5102832,5540874,5609570,5695125,5740686,5972795,6074800,6109883,6252407,6342314,6463499,6706466,6728691,6731484,6834150,6979580,7096439,7167354,7289760,7775744,8200980,8224595,8375496,8468291,8747712,8932010,9233570,9422433,9571355,9841176,9869514,9968042,10137770,10253579,10339802,10430771,10463331,10467395,10649747,10718412,11071323,11080284,11258103,11303159,11349404,11431394,11485626,11786871,11998883,12142163,12165324,12503162,12560874,13250714,13519127,13893303,13956683,14240060,14330954,14443499,14647970,14972471,15985911,16144072,16147370,16148834,16244147,17088072,17098103,17222819,17286771,17362139,17571239,17577564,17652074,17861660,18162081,18582231,18823322,19026539,19057442,19098903,19224081,19345436,19376844,19614711,19814483,19872291,20169623,20228795,20305802,20386803,20513896,20633570,20668355,20714339,20858786,21156951,21214763,21372611,21433992,21602474,21621525,22180791,22675607,23062960,23078133,23210954,23298155,23619002,23711804,23861306,23995307,24113241,24192122,24274554,24608195,24725271,24760284,24802026,24843803,24885059,24978531,25101770,25232459,25648883,25914995,25945830,26261879,26295419,26319496,26658323,26890460,26950583,27034682,27083805,27180770,27200771,27328796,27652355,27675552,27957786,28000803,28085795,28111307,28501491,28552154,28751511,28889392,29517431,29529834,29609433,29749431,29890883,29940986,30122124,30473834,30907324,31097994,31109795,31134996,31224467,31377239,31970555,32000759,32242625,32268552,32361731,32408999,32484002,32500566,32516699,32546085,32600906,32616924,33182826,33532202,33702954,34087580,34096499,34116155,34173563,34279010,34446839,34715824,34775543,34935251,34943714,35249325,35299484,35826155,36046370,36073079,36169034,36302121,36478792,37331754,37435379,37516970,37599280,37632602,37736714,37788011,37850403,38100839,38364666,38463002,38554593,38691150,38829143,39055302,39280076,39609923,40075955,40117739,40159010,40417532,40577402,40737891,40905096,40939386,41038394,41038641,41134812,41270560,41535179,41765795,41960906,42299190,42991386,43255644,43346807,43395131,43405802,43522444,43784968,44153320,44289755,44296226,44485463,44539491,44552039,44932552,45020364,45023051,45119136,45167363,45336539,45354407,45715370,45898325,46018233,46032074,46072823,46165245,46298570,46429380,46481954,46800755,46841483,47156459,47193563,47521559,47556299,47571482,47628554,48091146,48155639,48190812,48326005,48377852,48518103,48789203,48855525,49209770,49242928,49258089,49347731,49474252,49524672,49672485,50046122,50118954,50138211,50273399,50549121,50729306,50759028,50836802,51042251,51236951,51343607,51532970,51687496,52112560,52185731,52202663,52681564,52758683,52820666,52983984,53147706,53433395,53618786,53750522,53760860,53801571,54255603,54255995,54429770,54532124,54858444,54877034,54935031,54958625,55077990,55170764,55398294,55487195,55506059,55558284,55715256,55875362,56123843,56160906,56512803,56961651,57096764,57247729,57684371,57888554,57910466,57991206,58148433,58194316,58267307,58293352,58347395,58464119,58626630,58705802,58749856,59051724,59054219,59121194,59135516,59335970,59414871,59606982,59626499,59856599,59858103,60121096,60177525,60542651,60810563,60962403,61189955,61237859,61303082,61402611,61594595,61619699,61782554,61839564,61924010,61997159,62061303,62174920,62499351,62535072,62679663,62806355,63110651,63590691,63602603,63645770,63937634,64120074,64189360,64513032,64618499,64676631,64792010,64818755,64919411,65077907,65107194,65216445,65281163,65315724,65317259,65409923,65426444,65580021,65621195,65901479,65950350,65957162,66033002,66093588,66474602,66584634,67262699,67300346,67342691,67366370,67546466,67636233,67874327,67937570,67959260,67997085,68577191,68601484,68663099,68793770,68857706,69037150,69224325,69564208,69946785,70016874,70025331,70100956,70347040,70351956,70553411,70966451,71010764,71203164,71382088,71434826,71494460,71908907,71963036,72213030,72530224,72577161,72648074,72872807,72898307,72983651,73087739,73348010,73354106,73427946,73437914,73455045,73839280,73913514,73999432,74082899,74189306,74308812,74352995,74570231,74609904,74826903,74933834,74962844,75024983,75367626,75444771,75535202,75947879,76085884,76119004,76192139,76253843,76374924,76622474,76786460,76905899,77027232,77094755,77638625,77750412,77782506,78061163,78259734,78302451,78352048,78601211,78653555,78745434,79140420,79270202,79294370,79390199,79427306,79430795,80304849,80343179,80518071,80519325,80550393,80839644,80841683,81484907,81525084,81551112,81596502,81674999,81782470,81914403,82139795,82509591,82552524,82844580,83069190,83078411,83227994,83239010,83249361,83383307,83520170,83859851,83899979,83936142,84063995,84195371,84237405,84283491,84363170,84416448,84669623,84823202,85081379,85230044,85354696,85793352,85887280,86031659,86361155,86379194,86655636,86789207,86810651,87200003,87201111,87859802,87916619,87939626,88017612,88146054,88282883,88297634,88306466,88314314,88367552,88519564,88532872,88567370,88607136,88714343,89024795,89153416,89223594,89309811,89555987,89720039,89853232,90160955,90609506,90739484,91498106,91580403,91617851,91670795,91745001,91955811,92012109,92047355,92066632,92143752,92468219,92484645,92513706,92517303,92639786,92699642,92905514,92945483,93166350,93310370,93736545,94005111,94144970,94332860,94346248,94379114,94384266,94469879,94968504,95153244,95297882,95316954,95893325,96024033,96089570,96188291,96210903,96230044,96474323,96517521,96575511,96623190,96757491,97157411,97257419,97491914,97707674,98002120,98025303,98138964,98553959,98567754,98624500,98650288,98678924,98692202,98709794,98935432,99263027,99282531,99297122,99377440,99413496,99462844,99599481,99683028,99734531,99886812,99985648,...,1497813207652795957125155543777628265906869022168079168239444870672149772058973887029611515397459913600060122957520302198974209001605599820634890202756343046557708507727370940787271756181335750391090234298640237393694205973603245626876062780979148568917799709420259100262177156480744895672971066969894882238456916806090681056914070424945351972599425645762074375392851094011157716939495333557721386761187623262319648918662935021549443193984946586727854840319986321962763545223889454512521025087132088981463683806060471594386272658475666373337153312096661232496653400341926743719074500390956062848081070256218192730178440983243734505752510610330182771866026061342460653723728440228403207281716478605984108316486934483540854205023292175293757391168386898271678121407325905956244285695942682029288524708033495551753561857942808002848195966991077484856529110111445166935931146729863022499354154009679871721291207616057915799167290982685188021842620404371835100456630712487611454640180777295792124808585905630539748486422597695286950685353245696004707035860882915670982324567138390958199985766619005600860904692956366732099556704493589974643849159211886382882635609189885657784864775169722047800366471783479047253348014007823502840362344865646222102356776154738220469558393100078987772619353989895688343521096492225976443313192620298556342132450345281430638869257094781805199336777069804470257346914198343251785520380633146154095908750535253124017840572155679303162280198162481219418900903954374087858277603836219437436674466201748036300956677310411355990536823483834273902095832866031659616138263929346304157422060390736900943947982352681856050377198374274196929642998179804936014290166265700191659730762623693878667184523548422540327000444514212468056138756432193597539382791637390452245608633387543015837336323586392329578531043287096587296430422754527297871403152933649392753234487190176331547158451911065066032308382046076970518006895484898173797988929438534499218293259977030146732983640538122287660431562807653938308509805854876357811908938084416647938250468273102263433632890915597265173199113693843812616614161764214267476117807355761596694873827718203850266619388426961978729199292035507730465952307756373919004353696313587254406453988680537162731301942652520704487685984813392616021144758270699919111076873138356729747950270729775860978546018781787488030010190869027739509326653993433896983220342341157803984442348}
15206   664624073832256504243559592902698353086334976463767426528181079: {106393,151990,182388,197509,288553,334246,516358,850808,940726,957159,1014313,1139475,1215440,1303846,1367370,1458528,1579448,1640844,1760068,1776879,2028358,2209126,2486404,2505855,2510086,2672912,2897509,2930758,3007026,3110806,3211588,3341209,3410566,3720815,3829558,3949126,4135333,4223209,4297204,4464978,4546006,5010853,5200726,5315450,5619433,5734966,6051973,6100804,6378540,6482713,6803776,7328559,7387832,7593500,7654248,7679209,7682758,8311311,8386726,8414355,8440933,8611029,8724475,8945509,8971588,8975312,9112200,9146758,9321766,9364009,9438358,9513471,9556472,9719680,9780709,10020358,10059699,10097226,10251225,10469370,10484806,10526233,10751031,10934640,10937893,11063926,11102053,11167328,11347753,11352886,11663616,12301470,12324073,12447286,12563244,12647209,12791686,13121568,13159352,13398015,13478758,13650166,13764358,13850355,13951108,14126063,14186755,14291216,14324773,14334358,14448166,14640709,14761764,14773712,14804271,14952063,15010804,15034009,15206655,15299686,15314168,15509703,15715828,15815209,16034758,16077618,16220432,16620426,16710886,16747832,16879558,17024106,17147091,17228439,17800075,17888566,17949659,18115609,18247986,18417433,18524404,18669766,18725446,18754743,18836758,18841311,19003606,19225846,19315993,19876071,19909273,20180090,20195263,20333206,20351209,21314548,21360090,21489046,21496431,21517033,21872758,21877573,21971955,22310326,22327075,22593253,22784096,22877509,22964758,23029559,23049028,23436752,24003013,24181795,24216108,24221055,24223251,24590758,24752566,24776308,24903913,25041433,25129558,25237126,25278218,25290886,25465204,25632108,25642370,25835792,26041846,26152948,26266153,26366346,26478111,26496388,26736133,26792490,27162406,27182404,27665509,27958486,27994009,28209268,28234983,28328758,28578656,28586163,28645609,28828700,29018154,29033113,29065266,29224726,29545753,29574388,29639755,29749606,30011446,30376346,30458703,30494533,30557209,30770844,30950355,30950758,31288179,31427113,31470358,31625926,31795609,31918943,32150988,32366072,32401606,32403711,32705509,32865286,32899370,32945413,32967028,33013712,33069368,33304708,33362473,33430246,33613075,33658213,33952153,34160995,34244293,34554358,34594440,34707973,34816431,35052709,35428503,35567706,35721286,35791959,35847013,35923366,36074758,36111740,36175606,36183109,36226006,36288183,36411831,36678886,36829558,36900736,37066693,37140426,37203039,37277048,37334404,37609573,37652655,37979926,38001988,38092009,38145253,38311847,38335348,38634155,38883109,38918745,39220726,39315983,39373112,39452953,39479244,39658009,39665908,39812758,39912709,39960406,40162832,40335690,40552023,40647526,40666009,40696486,40771155,40941046,40993194,41110213,41208133,41380246,41463992,41513328,41672326,41885509,41936679,42193063,42609475,42642373,42828231,42834886,42875113,43024736,43087562,43106053,43334088,43394780,43489232,43517209,43700758,43743109,43844566,43922533,44011813,44124355,44145193,44179558,44233753,44243768,44294751,44418358,44585113,44911479,44937272,45132358,45183186,45226559,45231493,45485509,45598490,45710751,45944473,46354153,46360986,46646991,46702494,46875973,46878166,46999100,47018758,47151913,47159206,47859286,47952358,48071209,48196819,48294553,48402828,48478693,48588313,48681971,48726003,48750849,48787126,48901359,48925386,49020313,49100095,49545733,49774239,49775672,49800358,49937926,50029558,50298303,50467204,50515609,50521915,50554431,50676709,50714758,50851366,51006683,51131370,51152888,51406124,51418515,51575593,51588200,51605509,51871513,52016773,52073736,52188709,52415571,52524358,52605959,52607209,52716073,52949226,53035753,53114053,53196358,53419558,53495833,53619493,53644009,53998006,54026473,54069555,54253551,54317188,54346009,54403055,54540128,54585848,54662086,54718188,54731210,54757093,54798853,54846416,54983209,55191650,55258393,55278646,55464709,55483033,55732009,55834393,55935766,55997631,56047333,56165690,56218009,56275455,56277913,56371846,56398920,56422633,56448903,56519653,56605071,56652133,56752933,56813593,56951833,57100009,57206533,57282406,57321848,57438373,57473833,57487513,57546999,57653509,57670486,57674192,57676009,57694503,57732709,57771013,57792613,57796393,57801253,57805609,58014358,58036725,58314406,58582953,58920114,58954726,59082358,59209846,59294758,59385988,59591446,60027152,60158848,60238515,60434806,60472315,60626298,60866103,60868682,61063126,61104886,61357644,61409079,61553660,61557591,61702218,61842815,61905840,61936726,62308966,62432758,62459327,62941359,63448785,63463946,64121528,64254416,64487079,64555606,64609370,64676758,64690804,64749503,64883466,65108703,65140700,65283666,65360566,65400646,65677452,65851955,65960086,66032896,66229980,66444339,66674758,66793366,66825272,66850948,67069558,67201075,67266358,67384246,67398828,67530546,67658758,67678704,67776166,68127526,68165155,68555206,68558042,68573055,68826358,68963455,69048111,69289366,69447855,69520006,69644070,69722931,70550758,70626646,70645312,70863608,71357223,71370955,71419606,71442831,71735428,71869558,72136719,72286218,72340804,72354406,72540166,72566778,72742895,72866690,73144592,73242406,73246708,73437320,73814655,73864392,73919395,73975366,74077712,74211378,74287008,74339446,74685359,74881208,75069183,75151370,75178431,75350404,75948868,76093959,76138542,76171366,76242358,76255203,77124358,77299455,77321608,77466263,77531244,77718406,77718650,78009239,78065686,78168840,78583606,78621578,78686758,78735632,79022346,79219828,79230999,79365611,79475976,79721559,79778086,79810804,79811926,80115766,80236700,80428179,80558303,80625783,80641290,81283204,81285046,81644655,81783055,81798186,81870148,82153027,82287666,82315551,82369558,82384874,82452752,82552967,82616985,82694758,82748404,82756146,83082886,83097441,83276086,83332468,83337426,83380096,83572884,83660758,83813043,83820358,84241359,84769558,84787588,84949075,85145206,85493432,85642486,85645146,85751855,86017376,86074246,86084119,86166358,86235508,86319002,86563846,86568503,86809592,86832831,86865699,86955260,86986809,86988886,87087632,87115106,87291474,87440028,87440806,87470806,87487442,87626195,87933800,87939945,88058703,88124784,88152031,88422358,88577586,88628326,88681791,88703274,88763455,88779512,88804246,88862758,89003955,89227610,89368075,89410473,89732758,89953795,90019558,90181644,90183023,90662780,90673126,90926566,91206646,91512886,91844758,91954623,92119558,92299100,92447206,92499290,92583046,92664358,92673831,92759346,92853526,92886015,93089711,93262380,93355832,93367108,93703555,93802608,94260358,94520758,94727926,94937552,95107355,95148755,95269727,95368726,95468655,95723206,95906451,95983075,96099526,96180111,96249046,96284040,96496966,96546358,96676559,96769548,96914758,97035103,97188015,97448566,97520758,97592806,97660791,97903928,97940060,97973586,97998358,98139666,98422726,98551352,98632966,98772406,98925525,98935743,99049503,99078416,99140382,99324406,99479872,99711903,99769204,99876951,...,2246719811479193935687733315666442398860303533252118752359167306008224658088460830544417273096189870400090184436280453298461313502408399730952335304134514569836562761591056411180907634272003625586635351447960356090541308960404868440314094171468722853376699564130388650393265734721117343509456600454842323357685375209136021585371105637418027958899138468643111563089276641016736575409243000336582080141781434893479473377994402532324164790977419880091782260479979482944145317835834181768781537630698133472195525709090707391579408987713499560005729968144991848744980100512890115578611750586434094272121605384327289095267661474865601758628765915495274157799039092013690980585592660342604810922574717908976162474730401725311281307534938262940636086752580347407517182110988858934366428543914023043932787062050243327630342786914212004272293950486616227284793665167167750403896720094794533749031231014519807581936811424086873698750936474027782032763930606557752650684946068731417181960271165943688187212878858445809622729633896542930426028029868544007060553791324373506473486850707586437299978649928508401291357039434550098149335056740384961965773738817829574323953413784828486677297162754583071700549707675218570880022021011735254260543517298469333153535164232107330704337589650118481658929030984843532515281644738338964664969788930447834513198675517922145958303885642172707799005165604706705386020371297514877678280570949719231143863125802879686026760858233518954743420297243721829128351355931561131787416405754329156155011699302622054451435015965617033985805235225751410853143749299047489424207395894019456236133090586105351415921973529022784075565797561411295394464497269707404021435249398550287489596143935540818000776785322633810490500666771318702084208134648290396309074187456085678368412950081314523756004485379588494367796564930644880944645634131790946807104729400474089129851730785264497320737677866597599048462573069115455777010343227347260696983394157801748827439889965545220099475460807183431490647344211480907462764708782314536717863407126624971907375702409653395150449336373395897759798670540765718924921242646321401214176711033642395042310741577305775399929082640442968093798938053261595698928461634560878506530544470380881609680983020805744096952913978781056731528977220088924031717137406049878666615309707535094621925406094663791467819028172681232045015286303541609263989980990150845474830513511736705976663522}
15207   667612569539572776194875403348543795668465496142325827063424618: {227985,243184,273582,501369,744457,774537,1063510,1276212,1382017,1411089,1519300,1823160,1944704,1955769,1974310,2051055,2187792,2200085,2338798,2369172,2461266,2640102,3042537,3108005,3313689,3341140,3729606,3765129,3838769,4009368,4014485,4384997,4396137,4510539,4666209,4817382,5115849,5371505,5744337,5923689,5953304,6445806,6464353,6697467,6819009,7474373,7495462,7626005,7801089,7832033,7853398,7973175,8020169,8361913,8504720,8602449,9151206,9234790,9491875,9567810,9771412,9823913,10205664,10558853,11081748,11214485,11219140,11390250,11481372,11514433,11524137,11945590,12149600,12219766,12504814,12580089,12684628,12740309,12926998,13399897,13412932,13457382,13462968,13638437,13668300,13720137,13959160,13982649,14157537,14192878,14334708,14349829,14579520,14654353,14789753,15030537,15145839,15176393,15551488,15704055,15727209,16363097,16401960,16449190,16595889,16750992,16936582,17029329,17364433,17438885,17495424,17864020,17997893,18444689,18452205,18467140,18670929,18748169,18763505,18844866,19142710,19187529,19249033,19644785,19682352,19739028,19936084,20206849,20218137,20275540,20475249,20507158,20623553,20646537,20679604,20861542,20926662,20934790,21299494,21315977,21436824,21501537,21672249,22142646,22160568,22516206,22606318,22698808,22847813,22862788,22949529,22971252,23155505,23573742,23997766,24052137,24116427,24284326,24330648,24930639,25006324,25066329,25121748,25319337,25536159,26501428,26643185,26832849,27038254,27371979,27435977,27786606,27812713,27913366,27958729,28004649,28088169,28255137,28320313,28480120,28505409,28661908,28811285,28827809,28838769,28886998,28935697,28962917,29295940,29568473,29944942,30270135,30499809,30970385,31105313,31831505,31850689,31971822,32040135,32233569,32288144,32294740,32297668,32488294,32617417,32691185,32809137,33120485,33465489,33978005,34176144,34196206,34445638,34447137,34451473,34573542,34724278,35037809,35058437,35142478,35155128,35261585,35304148,35325589,35723320,36035875,36280993,36324162,36342193,36543833,36886137,36967985,37104497,37128849,37164462,37377593,37631537,37646644,37694337,37855689,37917327,37936329,38053078,38114884,38197806,38448162,38463555,38690872,38713297,38753688,39062769,39229422,39320113,39321953,39549519,39628966,39744582,40188735,40339246,40457590,40611604,40743609,40773606,41027792,41098369,41208785,41267140,41336710,41428678,41630885,41717572,41875073,41937729,42232553,42313902,42418709,42429526,42493137,42745222,42867984,43204948,43243050,43527231,43553713,43597899,43837089,44110993,44160533,44164997,44361582,44624409,44758777,44837473,45017169,45139675,45351214,45354689,45564519,46125920,46156266,46421908,46426137,46596310,46668005,47205537,47238004,47370649,47423608,47438889,47502485,47722612,47762617,47919185,47990614,48128089,48226482,48384244,48549108,48602409,49216390,49297929,49349055,49450542,49520568,49582385,49604052,49687606,49770118,49957062,50145369,50156617,50203540,50464918,51297766,51327449,51829990,51831537,51883073,51891660,52523758,52573729,52590838,52638992,53316646,53351559,53581929,53780920,53885049,53901166,54069364,54096997,54112137,54167610,54243475,54263409,54339009,54361540,54401542,54657592,55015973,55018329,55244337,55304710,55351104,55710639,55915572,56001606,56106337,56171590,56222614,56757329,56969889,57002982,57104308,57503022,57635369,57680297,57778784,58472113,58748875,58815377,58831089,59034862,59059668,59218866,59244677,59414017,59498862,59719137,59781766,59881972,59940609,60244248,60503535,60741013,60745913,60947668,60971289,61044729,61411569,61489791,61814648,62005657,62070369,62195988,62219590,62269992,62407169,62448934,62508489,62754478,63084005,63157553,63744713,63941110,64001518,64252329,64257655,64485250,64537104,64631343,64723462,64817998,64968004,65001132,65033398,65092170,65201812,65233848,65521057,65551137,65766849,66269337,66365652,66627537,66705169,67064404,67120069,67405908,67656407,67662697,67698537,67774779,67896485,68175160,68192998,68232310,68347126,68397735,68442313,68558020,68893678,69431648,69541479,69551086,69740549,69870502,69887428,70053741,70317249,70498650,70528137,70598968,70738809,70739617,71652310,71788929,71867029,71891369,71928537,72092740,72146158,72338068,72604242,72835433,72957584,73180689,73388079,74201957,74232485,74663508,74700537,74806753,74870758,74906889,75033940,75044337,75198560,75265204,75473428,75576022,75700806,75701537,75860689,75958393,76072137,76201678,76277049,76367317,76697055,76729332,76926004,76942075,77109186,77304433,77382300,77543873,77658286,77682073,78090497,78110604,78560152,78665273,78786537,79219846,79423839,79717873,79794537,80122409,80129337,80151910,80235478,80260069,80318020,80578709,80835064,80863505,80997009,81154804,81425875,81475782,81686353,81810192,81878772,81993129,82076788,82077282,82096815,82269624,82541120,82787475,82917969,83070358,83531590,83563685,83903649,83921812,84248535,84557769,84598380,85665937,85923609,85982772,86232433,86505729,86511288,86693614,86790262,86811604,87021537,87044888,87210517,87471609,87552517,87558857,87569936,87928897,88306640,88380171,88432089,88579510,88592452,88623537,88665889,88707329,88814769,88942137,88970926,89078982,89104078,89387169,89643289,89669285,89693153,89865104,90040728,90046102,90238272,90334726,90426005,90513593,90622169,90652209,90673078,90708814,90746257,90939447,91303023,91430740,91550393,91558385,91594689,91657329,91738853,91796650,91869673,92036466,92064148,92145646,92330490,92553327,92597140,92858760,92905089,92963908,93463449,93601510,93649137,93682966,94188005,94312918,94387126,94936085,95043118,95090953,95112598,95142964,95195919,95257108,96182292,96311278,96381624,96652010,96755704,96833409,96914055,97015137,97036206,97325199,97479409,97578406,97711050,97925499,98040849,98100969,98419540,98422433,98485856,98516178,98695462,98940129,98948504,99024785,99049344,99344970,99763505,...,3370079717218790903531599973499663598290455299878178128538750959012336987132691245816625909644284805600135276654420679947691970253612599596428502956201771854754844142386584616771361451408005438379953027171940534135811963440607302660471141257203084280065049346195582975589898602081676015264184900682263485036528062813704032378056658456127041938348707702964667344633914961525104863113864500504873120212672152340219210066991603798486247186466129820137673390719969224416217976753751272653172306446047200208293288563636061087369113481570249340008594952217487773117470150769335173367917625879651141408182408076490933642901492212298402637943148873242911236698558638020536470878388990513907216383862076863464243712095602587966921961302407394410954130128870521111275773166483288401549642815871034565899180593075364991445514180371318006408440925729924340927190497750751625605845080142191800623546846521779711372905217136130310548126404711041673049145895909836628976027419103097125772940406748915532280819318287668714434094450844814395639042044802816010590830686986560259710230276061379655949967974892762601937035559151825147224002585110577442948660608226744361485930120677242730015945744131874607550824561512827856320033031517602881390815275947703999730302746348160996056506384475177722488393546477265298772922467107508446997454683395671751769798013276883218937455828463259061698507748407060058079030556946272316517420856424578846715794688704319529040141287350278432115130445865582743692527033897341697681124608631493734232517548953933081677152523948425550978707852838627116279715623948571234136311093841029184354199635879158027123882960293534176113348696342116943091696745904561106032152874097825431234394215903311227001165177983950715735751000156978053126312201972435594463611281184128517552619425121971785634006728069382741551694847395967321416968451197686420210657094100711133694777596177896745981106516799896398572693859603673183665515514841020891045475091236702623241159834948317830149213191210775147235971016317221361194147063173471805076795110689937457861063553614480092725674004560093846639698005811148578387381863969482101821265066550463592563466112365958663099893623960664452140698407079892393548392692451841317759795816705571322414521474531208616145429370968171585097293465830133386047575706109074817999922964561302641932888109141995687201728542259021848067522929455312413895984971485226268212245770267605058964995283}
15208   670614395809906152569067220952533954194011331181026045358017424: {212786,303980,364776,395018,410373,577106,668492,712567,893791,1032716,1074727,1525807,1595265,1615807,1701616,1881452,1899125,1914318,1975087,2028626,2278950,2430880,2607692,2734740,2868247,2917056,2961465,3158896,3281688,3508197,3520136,3553758,3577591,3691899,3754207,3842407,3960153,4018591,4056716,4176425,4418252,4632967,4720447,4972808,5011710,5020172,5209141,5345824,5594409,5795018,5861516,6014052,6221612,6423176,6626791,6682418,6798367,6821132,6884047,7226047,7226073,7441630,7481791,7659116,7898252,8270666,8329591,8446418,8582527,8594408,8929956,9002647,9092012,9420967,9587791,9668709,10021706,10401452,10417591,10630900,10994167,11238866,11243193,11469932,11485567,11780097,11811727,12055591,12103946,12201608,12214265,12622087,12702727,12757080,12965426,13607552,13726809,13852185,14023925,14351715,14616487,14657118,14775664,14852791,15187000,15308496,15358418,15365516,15855785,16179607,16622622,16766165,16773452,16828710,16881866,17085375,17222058,17448950,17789887,17891018,17918385,17943176,17950624,18093007,18168607,18224400,18293516,18329649,18643532,18728018,18757221,18876716,18920647,19026942,19112944,19390497,19439360,19442791,19561418,19665487,19861457,19961407,20040716,20119398,20186073,20194452,20403127,20502450,20549791,20696167,20938740,20969612,21052466,21278791,21289317,21502062,21869280,21875786,22127852,22204106,22330025,22334656,22695506,22705772,23069791,23083925,23211127,23327232,23867129,23983327,24261967,24602940,24648146,24673785,24894572,24920105,24953527,25022287,25126488,25294418,25344425,25404873,25583372,25841791,25849505,26180191,26243136,26318704,26796030,26957516,27300332,27317287,27383527,27515791,27528716,27700710,27902216,28252126,28267299,28373510,28578485,28582432,28649546,28668716,28693207,28714065,28896332,29281418,29337247,29523528,29547424,29608542,29656567,29783791,29904126,30021608,30068018,30413310,30599372,30628336,30728791,30760737,30915847,31019406,31257905,31292313,31389993,31402185,31431656,31630418,31949241,32069516,32155236,32267791,32440864,33126785,33213969,33240852,33421772,33495664,33759116,33774309,33854513,33879367,33909477,34048212,34055191,34294182,34456878,35324767,35360613,35495191,35600150,35777132,35827385,35899318,35946487,35996649,36058591,36226207,36231218,36337591,36426489,36495972,36619925,36725167,36834866,37048808,37339532,37435591,37450892,37509486,37673516,37682622,37866727,38007212,38133847,38451692,38610127,38631986,39287791,39752142,39818546,40206007,40360180,40368425,40372085,40390526,40557381,40666412,40702418,40904047,41198887,41495657,41679909,41870049,42257791,42629096,42720180,42727591,42978092,42992862,43034066,43052167,43327567,43330497,43745516,43755146,43943910,44130185,44315191,44447167,44620652,44654150,44917413,45182791,45186506,45479647,45568192,45755018,45814591,45929516,46059118,46098056,46430191,46631791,46711927,46873504,47058305,47225791,47612791,47643605,47825393,47957733,48006026,48291247,48363590,48432216,48442110,48446502,48732441,49088791,49181516,49265191,49505132,49509127,49552616,49681207,49807826,49864529,50053447,50082866,50259116,50351527,50384287,50474252,50556436,50581772,50611591,50707927,50764505,50930408,51241591,51264216,51284740,51294309,51583925,51668457,51671584,51783967,51860313,51901327,52083692,52086417,52146965,52305896,52415191,52532306,52713717,52732692,52744807,52956222,52992776,53037847,53142247,53472266,53473591,53523487,53584980,53867033,54006185,54030007,54076591,54087817,54237367,54260047,54324812,54350047,54364808,54486243,54803647,54906967,55008487,55186687,55206127,55331018,55396567,55746693,55841167,55916972,55988018,56006407,56270791,56344591,56418536,56469966,56657516,56774287,56810791,56959877,57079617,57110167,57140191,57157312,57172326,57291218,57296709,57340567,57348847,57420127,57427687,57587527,57593287,57657400,57672243,57732607,57746287,57797407,57805687,57813247,57818791,58027385,58036308,58066226,58130532,58449452,58844133,59047505,59091506,59148776,59279510,59443449,59499212,59616873,59653265,60022892,60480305,60508869,60686385,60752692,60917406,60989066,61114418,61160409,61541688,61774097,61900710,61901516,62005065,62143017,62576358,62754425,62854226,62940716,63251852,63470853,63591218,63644289,63837886,64117833,64301976,64732144,64803212,64807422,64864575,65411018,65730572,65798740,65890826,65934056,66027424,66138736,66542373,66609416,66724946,66860492,67226150,67316426,67586705,67822073,67904306,67951925,68026821,68321990,68488586,68740133,69108716,69188880,69234399,69415946,69632862,69894465,70105418,70730681,70857006,71135412,71380385,71442572,71583918,71694026,71846732,71985921,72149516,72223480,72339723,72351212,72366218,72452012,72576366,72823662,73357772,73659116,73801472,73824585,74133386,74175813,74280852,74406078,74531409,74554096,74655177,74668808,74852465,74935593,75219146,75305310,75697377,75959852,76003976,76164277,76184018,76184585,76290506,76623694,76670696,76946649,77268310,77744985,77766218,77837490,78441452,78631966,78746224,78785637,78886257,78905906,78958488,79316018,79331816,79625516,79825418,79920812,79974969,80325664,80671380,80851749,81104046,81210005,81251415,81295052,81332018,81392972,81502265,81542310,81602313,81882092,81986388,82220426,82416266,82760492,82927984,82957065,83026656,83344652,83771018,83830505,83873358,84002409,84257385,84333921,84386126,84661241,85218950,85284746,85504473,85656462,85669772,85697525,85750226,86049472,86095493,86175124,86212106,86254533,86579941,86668176,86789560,86978464,87034418,87359285,87401516,87486218,87689132,87818753,87845066,88023626,88248710,88290386,88359116,88467506,88487536,88552293,88589502,88828299,88836716,89170226,89248293,89672649,89822958,89874544,90115925,90264716,90366372,90422585,90453118,90462986,90971018,91196980,91421502,91818089,91888946,92192737,92708306,92721972,93293982,93329385,93404988,93673401,93751946,93756332,93792425,93998200,94037516,94081505,94131717,94303826,94318412,94341785,95431217,95718572,95904716,95911665,96002277,96142418,96157505,96393638,96548837,96589106,96727875,96805656,96957386,97085193,97089941,97176626,97226997,97363942,97452006,97501698,97550097,97574252,97638255,97802718,97850772,98040626,98200190,99091466,99548478,99551344,99600716,99875852,99919337,...,4493439622958387871375466631332884797720607066504237504718334612016449316176921661088834546192379740800180368872560906596922627004816799461904670608269029139673125523182112822361815268544007251173270702895920712181082617920809736880628188342937445706753399128260777300786531469442234687018913200909684646715370750418272043170742211274836055917798276937286223126178553282033473150818486000673164160283562869786958946755988805064648329581954839760183564520959958965888290635671668363537563075261396266944391051418181414783158817975426999120011459936289983697489960201025780231157223501172868188544243210768654578190535322949731203517257531830990548315598078184027381961171185320685209621845149435817952324949460803450622562615069876525881272173505160694815034364221977717868732857087828046087865574124100486655260685573828424008544587900973232454569587330334335500807793440189589067498062462029039615163873622848173747397501872948055564065527861213115505301369892137462834363920542331887376374425757716891619245459267793085860852056059737088014121107582648747012946973701415172874599957299857016802582714078869100196298670113480769923931547477635659148647906827569656973354594325509166143401099415350437141760044042023470508521087034596938666307070328464214661408675179300236963317858061969687065030563289476677929329939577860895669026397351035844291916607771284345415598010331209413410772040742595029755356561141899438462287726251605759372053521716467037909486840594487443658256702711863122263574832811508658312310023398605244108902870031931234067971610470451502821706287498598094978848414791788038912472266181172210702831843947058045568151131595122822590788928994539414808042870498797100574979192287871081636001553570645267620981001333542637404168416269296580792618148374912171356736825900162629047512008970759176988735593129861289761889291268263581893614209458800948178259703461570528994641475355733195198096925146138230911554020686454694521393966788315603497654879779931090440198950921614366862981294688422961814925529417564629073435726814253249943814751404819306790300898672746791795519597341081531437849842485292642802428353422067284790084621483154611550799858165280885936187597876106523191397856923269121757013061088940761763219361966041611488193905827957562113463057954440177848063434274812099757333230619415070189243850812189327582935638056345362464090030572607083218527979961980301690949661027023473411953327044}
15209   673629611630728226868669848591169665596923981057032443086757810: {319179,379975,455970,486368,547164,592527,835615,865659,1002738,1290895,1488914,1549074,1837627,2127020,2351815,2552424,2764034,2822178,2871477,3038600,3042939,3080119,3259615,3418425,3646320,3889408,3911538,3948620,4102110,4351207,4375584,4400170,4536727,4677596,4738344,4900879,4922532,5070895,5280204,5330637,5522815,5620279,6085074,6170527,6216010,6275215,6627378,6682280,7326895,7459212,7517565,7520107,7530258,7677538,7777015,7989847,8018736,8028970,8353711,8526415,8692527,8769994,8792274,9021078,9256039,9332418,9573895,9634764,9825211,9872815,10023627,10156927,10231698,10676407,10743010,11073919,11151547,11162445,11365015,11488674,11610079,11801071,11847378,11906608,12405999,12669627,12891612,12891799,12928706,13001815,13288625,13394934,13618951,13638018,13640239,14337415,14948746,14990924,15032559,15242959,15252010,15602178,15664066,15690847,15700279,15706796,15946350,16040338,16112767,16365259,16723826,16858299,16961851,17009440,17204898,17478799,17762107,18000271,18155919,18251047,18302412,18469580,18875839,18983750,19135620,19206895,19239127,19448139,19542824,19647826,20411328,20966815,21117706,21985677,22045867,22156927,22163496,22428970,22438280,22696927,22780500,22866895,22953727,22962744,23028866,23037627,23048274,23304415,23595895,23823739,23891180,24299200,24414439,24439532,24933933,25009628,25050895,25160178,25243065,25322799,25369256,25480618,25535791,25833087,25853996,25872031,25911247,26173425,26212015,26268907,26799794,26825864,26836527,26914764,26925936,27276874,27336600,27440274,27449419,27502699,27611947,27659815,27918320,27948799,27965298,28092027,28315074,28382215,28385756,28540413,28669416,28699658,29138167,29159040,29308706,29342127,29579506,29898847,30061074,30179097,30291678,30352786,30663739,30753675,31102976,31118215,31408110,31454418,31578699,31979215,31981519,32253093,32370319,32417707,32726194,32803920,32813679,32898380,33191778,33250507,33306159,33501984,33540847,33696895,33873164,34043259,34058658,34125415,34410895,34596391,34728866,34877770,34944559,34990848,35570239,35728040,35731627,35835895,35995786,36120415,36889378,36904410,36934280,36972219,37300459,37341858,37496338,37527010,37689732,37706911,37782607,37798039,37941627,38249215,38285420,38326459,38375058,38498066,38949871,39174727,39182959,39289570,39364704,39478056,39651007,39670327,39872168,40086895,40194045,40335799,40413698,40436274,40551080,40950498,41014316,41247106,41268667,41293074,41359208,41482447,41551065,41723084,41777215,41853324,41869580,42198895,42378189,42428479,42560265,42598988,42631954,42873648,42974319,43003074,43294567,43344498,43358539,43922127,44173519,44174911,44285292,44321136,44412813,44564107,44721415,44856189,45032412,45034999,45102027,45212636,45397616,45619965,45684559,45695626,45725576,45767659,45899058,45942504,46311010,46368679,46471399,46529109,46674415,46771519,46813615,47091895,47147484,47206087,47445627,47509015,47569207,47995532,48064615,48104274,48232854,48568652,48661296,49360879,49366219,49668319,49861278,49911199,50012648,50132658,50243496,50286907,50358667,50450225,50638674,50833015,50928427,51072318,51441273,51685317,51755179,52531771,53002856,53286370,53400225,53665698,53722615,53831227,53848977,54076508,54130747,54346827,54681895,54743958,54871954,55252299,55440199,55573212,55625426,55775815,55826732,55917458,56003179,56009298,56176338,56264229,56510274,56523933,56640626,56686267,56747479,56960240,57010818,57323816,57411895,57622570,57655618,57677538,57692299,57699679,57773996,57871394,57925834,57947979,58283239,58356127,58591880,59136946,59623099,59628213,59727819,59736727,59872747,59889884,60540270,60585789,60999618,61053627,61254247,61316359,61476895,61881415,61940770,62210626,62823895,63050359,63092815,63127399,63195545,63227215,63663010,63701378,63943644,64080270,64105925,64467138,64489293,64551099,64576288,64589480,64595336,64936639,64948951,64976588,65104615,65234834,65269567,65298487,65335207,65382370,65618274,65632719,65915865,66072607,66214639,66240970,66306127,66503479,66747559,66930978,66981225,67086859,67779759,67892491,67906015,67956010,68114527,68116411,68242879,68352288,68392412,68632527,68891276,68894274,68902946,69088677,69147084,69415339,69448556,69896215,70010347,70075618,70116874,70284956,70310256,70523170,70608296,70651178,70821895,70985359,71244091,71271211,71446640,71494567,72009039,72071750,72545385,72561986,72648324,72663165,72669753,72684386,72707959,73061815,73087666,73142527,73753927,73772274,73935970,74103007,74208994,74257698,74328924,74374015,74711739,74731327,74755186,75028615,75124299,75263074,75293288,75388674,75673147,75711378,75834654,75872658,75940865,76106156,76229768,76395612,76896324,76927110,77116519,77376895,77381744,77426594,77507376,78125538,78458844,78640226,78643906,78675895,78778519,78798459,79064815,79085311,79099038,79171159,79257932,79434333,79489164,80208399,80377470,80678492,80682811,80915180,81004015,81223208,81487218,81547212,82055584,82163215,82163659,82174327,82196738,82248425,82417570,82534280,82673420,82857356,82931599,82996527,83261770,83435144,83575615,83750146,83875458,83982027,84429127,84465106,84627804,84704949,84837418,84859052,84962527,84986274,85490444,85597879,85735968,85758489,85936827,86078239,86148319,86385895,86409896,86486100,87054462,87099339,87107426,87195798,87223807,87674178,87920011,88063519,88221986,88245319,88317607,88321066,88329994,88637259,88723164,88919265,89248818,89303215,89517554,89674946,89761039,89808415,89960717,90034338,90186895,90269227,90279350,90439015,90565015,90702428,90709378,91129038,91206127,91376109,91483599,91562911,91595311,91642759,91671627,91697215,91872187,92073895,92251840,92312532,92545867,92799487,92843816,92851065,92852274,92970247,93192620,93336010,93864537,94281339,94411074,94476008,94741298,94847216,94877778,94949815,95004970,95055079,95386827,95440159,95445224,95525234,95756829,95838370,95981228,96213919,96256178,96452964,96726919,96768488,97098216,97204818,97211133,97424107,97859899,98051815,98116527,98432780,98595858,98698110,98836239,98901084,99041136,99164770,99208104,99289591,99375212,99531895,99540236,99901015,99914124,...,6740159434437581807063199946999327196580910599756356257077501918024673974265382491633251819288569611200270553308841359895383940507225199192857005912403543709509688284773169233542722902816010876759906054343881068271623926881214605320942282514406168560130098692391165951179797204163352030528369801364526970073056125627408064756113316912254083876697415405929334689267829923050209726227729001009746240425344304680438420133983207596972494372932259640275346781439938448832435953507502545306344612892094400416586577127272122174738226963140498680017189904434975546234940301538670346735835251759302282816364816152981867285802984424596805275886297746485822473397117276041072941756777981027814432767724153726928487424191205175933843922604814788821908260257741042222551546332966576803099285631742069131798361186150729982891028360742636012816881851459848681854380995501503251211690160284383601247093693043559422745810434272260621096252809422083346098291791819673257952054838206194251545880813497831064561638636575337428868188901689628791278084089605632021181661373973120519420460552122759311899935949785525203874071118303650294448005170221154885897321216453488722971860241354485460031891488263749215101649123025655712640066063035205762781630551895407999460605492696321992113012768950355444976787092954530597545844934215016893994909366791343503539596026553766437874911656926518123397015496814120116158061113892544633034841712849157693431589377408639058080282574700556864230260891731165487385054067794683395362249217262987468465035097907866163354305047896851101957415705677254232559431247897142468272622187682058368708399271758316054247765920587068352226697392684233886183393491809122212064305748195650862468788431806622454002330355967901431471502000313956106252624403944871188927222562368257035105238850243943571268013456138765483103389694791934642833936902395372840421314188201422267389555192355793491962213033599792797145387719207346367331031029682041782090950182473405246482319669896635660298426382421550294471942032634442722388294126346943610153590221379874915722127107228960185451348009120187693279396011622297156774763727938964203642530133100927185126932224731917326199787247921328904281396814159784787096785384903682635519591633411142644829042949062417232290858741936343170194586931660266772095151412218149635999845929122605283865776218283991374403457084518043696135045858910624827791969942970452536424491540535210117929990566}
15210   676658276248440867662593407507313276354444684106872973043855470: {167189,258281,349301,425572,561401,607960,683955,729552,790036,820746,924089,1074869,1105001,1154212,1195349,1336984,1345769,1425134,1504107,1556021,1646009,1787582,1915541,2065001,2065432,2149454,2233371,2244089,2323611,2363321,2658775,2690549,2898281,2957561,3051614,3190530,3231614,3401141,3403232,3607529,3762904,3798250,3828636,3931061,3950174,4048469,4057252,4146051,4195049,4233267,4557900,4662761,4861760,4924949,4935775,5215384,5331509,5447381,5469480,5620949,5678741,5736494,5765369,5834112,5846995,5867307,5880761,5922930,6153165,6317792,6369749,6484469,6541781,6563376,6600255,6742121,6827861,7016394,7040272,7056149,7107516,7155182,7170101,7383798,7508414,7684814,7920306,7935929,8037182,8113432,8161721,8352850,8358869,8443241,8836504,9003881,9031829,9127611,9265934,9324015,9422261,9440894,9505721,9589109,9616889,9783401,9838841,9941067,9945616,10023420,10032629,10040344,10418282,10691648,10995689,11159801,11188818,11295387,11350901,11516307,11590036,11650409,11723032,11813369,11840501,12028104,12043455,12381461,12443224,12650741,12704501,12846352,12972821,13154991,13188411,13253582,13267049,13364836,13531617,13596734,13642264,13768094,13772981,13998627,14381561,14452094,14452146,14644841,14881109,14883260,14963582,15012089,15318232,15347547,15560021,15796504,15819701,15897449,16114515,16207721,16541332,16568249,16659182,16824809,16892836,16978361,17099971,17165054,17188816,17233011,17771067,17792441,17817749,17859912,17944169,18005294,18045161,18120821,18171221,18184024,18422741,18738655,18841934,19097849,19175582,19337418,19393059,19633495,19693049,19915061,19964309,19988921,20043412,20062709,20092401,20332649,20406101,20430569,20457027,20552789,20802904,20835182,20845301,20942549,21261800,21571541,21739961,21931961,21988334,22003829,22198099,22423119,22457321,22477732,22486386,22878015,22931561,22939864,22971134,23086975,23238101,23355641,23403267,23449529,23472631,23496099,23519861,23560194,23590121,23623454,23660309,23919525,24010169,24060507,24111182,24207892,24265589,24403216,24428530,24957269,24980201,25048949,25085739,25244174,25300409,25405454,25437161,25514160,25807347,25868309,25930852,26341481,26721941,26855669,27122261,27215104,27343541,27409769,27453618,27651989,27704370,28047850,28198889,28206607,28475625,28654421,28697621,28703430,29020601,29084981,29170709,29232974,29314236,29363129,29471739,29551328,29554901,29618681,29705582,29809589,29863975,30294521,30374000,30545849,30549415,30616992,30629369,30716836,30731032,30858389,31231061,31262035,31436981,31676559,31711570,31988969,32171669,32293109,32317495,32353721,32359214,32695829,32876009,32995769,33115241,33245244,33353321,33412661,33491669,33532330,33546904,33609941,33643455,33657420,33708281,33763732,33767189,33845621,33904361,33963029,34080149,34170750,34294121,34444116,34526441,34543299,34572411,34642169,34719161,34757609,34888147,34897900,34930229,35064041,35102201,35482195,35576501,35579774,35782036,35783609,35836770,35886352,35901248,36186014,36189307,36232121,36337214,36343529,36362069,36448800,36587032,36620789,36659298,37078889,37188089,37242581,37287064,37456036,37514442,37622009,37740267,37753432,37841294,37873001,38053884,38140181,38157929,38220927,38225888,38458421,38686649,38780994,38878709,38878720,38885582,38930921,39052469,39122836,39311609,39330974,39363221,39414761,39500501,39671381,39705461,39722914,39909269,39922814,40009879,40061369,40081432,40199691,40238796,40372146,40388904,40430441,40712981,40806254,40911029,40915311,41004900,41075189,41099582,41122975,41160411,41222249,41254841,41392334,41739881,41877480,41899961,41931881,41939224,41947947,41979701,42043349,42104932,42265109,42341455,42472611,42516629,42557582,42578634,42735029,42797141,42890069,43004124,43049487,43105781,43738560,43751572,43761067,43963059,43967849,44027369,44190389,44255704,44278901,44337749,44369259,44408212,44600981,44660050,44669312,44933561,45091611,45190889,45205109,45391012,45403349,45411544,45437517,45487829,45501881,45529179,45739541,45822869,45919721,46139582,46167850,46357481,46377499,46422254,46452149,46600121,46653689,46654464,46720469,46733801,47090741,47112165,47181627,47234489,47286521,47325461,47390201,47698169,47734258,47856775,47926121,47966654,48076649,48312629,48337301,48484661,48523934,48703541,48787961,48824021,48931769,49062581,49089291,49109909,49205880,49274549,49296292,49347570,49530101,49587641,49690709,49787667,49789144,49840210,49872341,49907054,50044574,50158339,50252976,50394041,50459369,50567609,50588836,50688850,50717801,50749781,50792309,50809746,50824121,50876981,50982101,51044789,51087987,51166744,51267895,51313109,51353909,51445241,51555989,51596021,51655829,51683582,51699010,51911669,52093299,52153855,52228601,52316655,52336975,52341689,52360382,52425749,52435049,52486272,52536821,52564409,52628501,52637408,52755509,52889849,52943081,52969589,53004821,53057429,53153129,53161781,53248735,53282069,53307641,53492969,53534549,53592060,53739449,53779829,53907701,53915032,53993679,54049109,54164969,54346601,54368981,54391289,54501749,54545429,54600664,54603221,54624761,54634574,54717269,54767054,54794489,54815381,54822329,55020341,55031582,55057432,55106921,55282421,55295189,55334067,55352249,55356615,55377401,55401420,55427321,55489001,55574009,55698581,55721909,55804432,55853561,55859189,55870421,55892789,55991861,56012787,56051129,56072441,56098901,56177081,56192501,56243381,56244507,56288489,56290515,56318201,56332949,56357369,56448341,56499689,56504252,56515795,56520919,56534598,56545529,56554601,56595029,56660969,56678249,56716661,56747020,56750261,56762729,56787449,56899001,56967401,56996969,57033209,57127061,57153749,57156970,57157049,57164864,57173429,57224501,57240041,57252329,57276521,57299092,57337432,57337589,57362681,57386414,57403061,57428130,57428981,57441641,57459029,57471209,57492629,57515669,57520181,57562587,57590009,57601769,57609449,57629909,57666281,57707861,57732341,57747099,57748409,57760949,57762041,57780329,57791081,57792664,57800681,57812309,57814121,57822101,57826421,57829301,57830249,57831401,57831929,57834089,57835769,57836021,58562836,58674494,58930807,58934355,59047056,59094848,59217084,59313134,59567582,59808252,59994415,60043216,60136036,60204331,60620547,60654411,60710815,60826620,61198744,61256672,61425747,61457582,61521474,61782259,61831694,61870659,61939611,62038812,62515810,62584626,62779986,62804370,62863312,63260836,63661039,63898482,63947931,64139032,64310472,64504611,64535582,64881728,65016747,65881627,66253570,66427938,66481704,66701047,66843544,66991328,67518232,67548618,67595635,67709026,67758734,67818954,68096424,68110382,68543439,68588364,68848587,68913756,69466515,69783415,70649534,70721226,70990382,71070307,71200300,71554264,71654770,71798636,71892974,71993298,72117182,72156411,72217495,72349281,72452414,72462436,72675182,72852978,72991944,73005751,73239850,73450334,73669732,74097616,74679064,74791917,74862355,74871182,74901784,75018972,75198987,75347032,75365244,75608659,75733454,75958011,76014424,76267694,76608477,76903384,77220254,77263972,78575582,79504284,79637092,79929555,80153359,80412014,80498547,80720360,80736850,80744170,80781052,81114762,81220735,81238339,81332824,81404836,81808094,82115937,82307931,82397774,82666507,82991314,83359818,83438139,83514571,83740098,83876187,84013947,84264507,84515582,84672427,84765411,84960939,85258192,85440360,85455182,85490515,85516227,85956184,85985724,86068132,86104334,86114095,86433855,86483427,86516307,86655134,86660994,86807091,86810695,86888751,87491032,87510292,87856195,87887820,88260370,88630382,88705419,88894334,89241304,89308300,89834826,90365582,90373012,90810405,90959294,91136384,91499427,91510036,91629182,91859032,92118236,92196112,92860382,92911155,93263582,93315939,93423854,93747008,94116610,94451582,94621387,95132695,95225582,95287210,95494515,95552067,95650786,95915466,96012052,96120405,96582494,96700707,96727180,96864432,96884220,96893004,97464882,97852251,98073555,98150371,98177582,98363032,98427411,98530382,99010264,99018254,99072415,99105232,99361455,99362414,99615652,99729058,99932539,...,10110239151656372710594799920498990794871365899634534385616252877037010961398073737449877728932854416800405829963262039843075910760837798789285508868605315564264532427159753850314084354224016315139859081515821602407435890321821907981413423771609252840195148038586748926769695806245028045792554702046790455109584188441112097134169975368381125815046123108894002033901744884575314589341593501514619360638016457020657630200974811395458741559398389460413020172159907673248653930261253817959516919338141600624879865690908183262107340444710748020025784856652463319352410452308005520103752877638953424224547224229472800928704476636895207913829446619728733710095675914061609412635166971541721649151586230590392731136286807763900765883907222183232862390386611563333827319499449865204648928447613103697697541779226094974336542541113954019225322777189773022781571493252254876817535240426575401870640539565339134118715651408390931644379214133125019147437687729509886928082257309291377318821220246746596842457954863006143302283352534443186917126134408448031772492060959680779130690828184138967849903924678287805811106677455475441672007755331732328845981824680233084457790362031728190047837232395623822652473684538483568960099094552808644172445827843111999190908239044482988169519153425533167465180639431795896318767401322525340992364050187015255309394039830649656812367485389777185095523245221180174237091670838816949552262569273736540147384066112958587120423862050835296345391337596748231077581101692025093043373825894481202697552646861799245031457571845276652936123558515881348839146871845713702408933281523087553062598907637474081371648880880602528340046089026350829275090237713683318096458622293476293703182647709933681003495533951852147207253000470934159378936605917306783390833843552385552657858275365915356902020184208148224655084542187901964250905353593059260631971282302133401084332788533690237943319550399689195718081578811019550996546544523062673136425273710107869723479504844953490447639573632325441707913048951664083582441189520415415230385332069812373583190660843440278177022013680281539919094017433445735162145591908446305463795199651390777690398337097875989299680871881993356422095221239677180645178077355523953279387450116713967243564423593625848436288112904514755291880397490400158142727118327224453999768893683907925798664327425987061605185626777065544202568788365937241687954914455678804636737310802815176894985849}
15211   679700449169503712384890169541245019869408392990462418806368719: {531965,638358,759950,911940,972736,987545,1094328,1169861,1185054,1231119,1442765,1671230,1731318,1807253,2005476,2137701,2171741,2581790,2681373,2977828,3098148,3224181,3292541,3675254,4254040,4563461,4577421,4703630,4785795,4847421,5071565,5104848,5477453,5528068,5644356,5697375,5742954,5925261,6077200,6085878,6160238,6519230,6836850,7099253,7292441,7292640,7731941,7778816,7823076,7897240,8204220,8604741,8702414,8751168,8785301,8800340,8884395,8929829,9073454,9355192,9476688,9801758,9845064,10141790,10158269,10257653,10524591,10560408,10661274,10732773,10887821,11045630,11075697,11240558,11262621,11527221,11611613,11880459,11936981,12003641,12055773,12170148,12341054,12376733,12432020,12529275,12550430,13140149,13179101,13254756,13364560,13403453,13821941,13898901,14161341,14487545,14558189,14653790,14918424,15035130,15040214,15060516,15244973,15355076,15554030,15627423,15911021,15979694,16037472,16057940,16706045,16707422,16783227,17052830,17385054,17536829,17539988,17584548,18042156,18094109,18202541,18512078,18604075,18664836,18765161,18878333,19042361,19147790,19241669,19269528,19650422,19745630,19880373,20047254,20072381,20177621,20313854,20395101,20398229,20463396,20652141,20676665,20722553,20991581,21056981,21116045,21352814,21486020,21678141,21678219,22147838,22303094,22324890,22445373,22730030,22977348,23028269,23220158,23301461,23602142,23694756,23813216,24073421,24811998,24988773,25054265,25339254,25747581,25783224,25783598,25857412,26003630,26424341,26577250,26749049,26789868,26823641,26889653,27007941,27237902,27276036,27280478,27656309,28097165,28262901,28674830,28763373,28959629,29006127,29353541,29652281,29897492,29981848,30065118,30259865,30485918,30504020,30559541,31204356,31236893,31252773,31328132,31381694,31400558,31413592,31892700,32013653,32080676,32225534,32413565,32626181,32632301,32730518,32982501,33034253,33447652,33668021,33716598,33729579,33923702,34018880,34187141,34409796,34456701,34957598,35071253,35335001,35340291,35435181,35524214,36000542,36166773,36311838,36502094,36604824,36642795,36696821,36939160,36982349,37450253,37486829,37751678,37866261,37967500,38108181,38271240,38396045,38413790,38478254,38723741,38896278,39085648,39295652,39625661,39735101,39754973,40787801,40822656,41180427,41556555,41636069,41650901,41933630,42071775,42204665,42235412,43055145,43505981,43565501,43622375,43849461,43971354,43993181,44091734,44313854,44326992,44503349,44558373,44562713,44727545,44770901,44857940,44876560,45354581,45393854,45470381,45561000,45733790,45907454,45925488,46057732,46075254,46096548,46195001,46344461,46608830,46820045,46860281,47175653,47191790,47567355,47645753,47647478,47775581,47782360,48140861,48175253,48538821,48598400,48772061,48828878,48879064,48879749,48903545,49867866,49997141,50019256,50101790,50170253,50298495,50320356,50486130,50568581,50645598,50738512,50961236,51059213,51071582,51255941,51256125,51666174,51707992,51744062,51777221,51822494,52206713,52346850,52424030,52537814,52631165,53369661,53548901,53588141,53599588,53651728,53673054,53744021,53755155,53829528,53851872,54111353,54138029,54276941,54279021,54312509,54505821,54553748,54673200,54689465,54880548,54898838,54988947,55005398,55223894,55319630,55510265,55836640,55897598,55930596,56121653,56184054,56271663,56327801,56630148,56738765,56761941,56764430,56771512,57012989,57080826,57338832,57399316,58171491,58276334,58318080,58328373,58488101,58617412,58684254,58996461,59078453,59159012,59263661,59429981,59584371,59797694,59884221,59945321,60122148,60188141,60358194,60558219,60583356,60705572,60835181,61209381,61327478,61507350,61620365,61644221,61649373,61788749,62088501,62205952,62236430,62609981,62816220,62908836,62970041,63157398,63236045,63423653,63836373,63867951,63958430,63963038,63972701,64506186,64740638,64835414,65344181,65452388,65539061,65607840,65627358,65796760,65820749,65928653,66383556,66501014,66512621,66612318,66990075,66992861,67003968,67081694,67137881,67290461,67307609,67393790,67680653,67746328,68086518,68117316,68250830,68441549,68460629,68750261,68821790,69192782,69209373,69251775,69295661,69428189,69457732,69633381,69755540,69889118,69981696,70255253,70335221,70630315,70758701,70933775,71140478,71166221,71456080,71463254,71601387,71623865,71671790,71702261,71949981,71991572,72240830,72785901,72910301,73203545,73778756,73808820,73868560,73944438,74021355,74600213,74600918,74683716,74760315,74860581,74992676,75054020,75055541,75066861,75170045,75211661,75379464,75413822,75565214,75596078,75880901,75883254,76033275,76214619,76271453,76498430,76554653,76570840,76652918,76750116,76996132,77136761,77428601,77525373,77548515,77695253,77722301,77899742,78086141,78349454,78365918,78540573,78579140,78729408,78817541,78956112,79076045,79302014,79340654,79744336,80173790,80376653,80388090,80501213,80671598,80827396,80872548,81102160,81766169,81900996,81951861,82028632,82150581,82494212,82537334,82547373,82586148,82718416,82739501,82851221,82964894,83102130,83446168,83554430,83706648,83739160,83754221,84229613,84397790,84477149,84756378,84801897,84856958,85120530,85197976,85263908,85661669,85735455,85747296,85948638,86006148,86067653,86079621,86142195,86466893,86589134,86633981,86688996,86717078,87233753,87576281,87844254,87953453,88011741,88167101,88318841,88329941,88347038,88349822,88473763,88485413,88518101,88547621,88570584,88642272,88825626,88969701,89000375,89068601,89128214,89351373,89431901,89442830,89712378,89748295,90064824,90069998,90204054,90425272,90578045,90795232,91146461,91239930,91369118,91391252,91451152,91501181,91535318,91798116,91884749,91885008,92087165,92186373,92282211,92505653,92622020,92737358,92747541,92942798,93058218,93348830,93543038,93627230,93773715,93876939,93945773,93979961,94169979,94183790,94206555,94294968,94412174,94891254,95018030,95068421,95138414,95352413,95847723,95991064,96129230,96208548,96465708,96579965,96638681,96803373,97137304,97322592,97437461,97505381,97854701,97912229,98423933,98721758,98732438,99150653,99336638,99380355,99546365,99641907,99722556,99822398,99864953,...,13480318868875163614126399893998654393161821199512712514155003836049347948530764983266503638577139222400541106617682719790767881014450398385714011824807087419019376569546338467085445805632021753519812108687762136543247853762429210641884565028812337120260197384782331902359594408326704061056739602729053940146112251254816129512226633824508167753394830811858669378535659846100419452455458002019492480850688609360876840267966415193944988745864519280550693562879876897664871907015005090612689225784188800833173154254544244349476453926280997360034379808869951092469880603077340693471670503518604565632729632305963734571605968849193610551772595492971644946794234552082145883513555962055628865535448307453856974848382410351867687845209629577643816520515482084445103092665933153606198571263484138263596722372301459965782056721485272025633763702919697363708761991003006502423380320568767202494187386087118845491620868544521242192505618844166692196583583639346515904109676412388503091761626995662129123277273150674857736377803379257582556168179211264042363322747946241038840921104245518623799871899571050407748142236607300588896010340442309771794642432906977445943720482708970920063782976527498430203298246051311425280132126070411525563261103790815998921210985392643984226025537900710889953574185909061195091689868430033787989818733582687007079192053107532875749823313853036246794030993628240232316122227785089266069683425698315386863178754817278116160565149401113728460521783462330974770108135589366790724498434525974936930070195815732326708610095793702203914831411354508465118862495794284936545244375364116737416798543516632108495531841174136704453394785368467772366786983618244424128611496391301724937576863613244908004660711935802862943004000627912212505248807889742377854445124736514070210477700487887142536026912277530966206779389583869285667873804790745680842628376402844534779110384711586983924426067199585594290775438414692734662062059364083564181900364946810492964639339793271320596852764843100588943884065268885444776588252693887220307180442759749831444254214457920370902696018240375386558792023244594313549527455877928407285060266201854370253864449463834652399574495842657808562793628319569574193570769807365271039183266822285289658085898124834464581717483872686340389173863320533544190302824436299271999691858245210567731552436567982748806914169036087392270091717821249655583939885940905072848983081070420235859981132}
15212   682756190161566531374734784929756601777785257293554567284278926: {197587,288667,334378,516562,698602,851144,957537,1105147,1122802,1139925,1215920,1367910,1459104,1580072,1641492,1777581,1848178,2095147,2149738,2210002,2274211,2308424,2390698,2506845,2596977,2673968,2691538,2720611,2850268,2987587,3008214,3112042,3292018,3431107,3575164,3722285,3831082,3872685,4130002,4130864,4224907,4298908,4466742,4488178,4647222,4726642,5317550,5381098,5512881,5796562,5915122,6103228,6381060,6399307,6463228,6802282,6806464,6910085,7055445,7215058,7341787,7525808,7596500,7657272,7862122,7900348,8096938,8114504,8185793,8292102,8390098,8466534,8614431,9033067,9115800,9128817,9240357,9325522,9618211,9723520,9778845,9849898,9871550,10255275,10282627,10430768,10613107,10663018,10860211,10894762,10938960,11000425,11241898,11357482,11472988,11530738,11668224,11679211,11693990,11734614,11761522,11842147,11845860,12306330,12635584,12739498,12968938,13053621,13083562,13126752,13135267,13200510,13484242,13610181,13655722,14032788,14080544,14093011,14112298,14215032,14310364,14340202,14702637,14725747,14767596,15016828,15040387,15118867,15212685,15369628,15540025,15840612,15871858,15899707,15991911,16074364,16226864,16323442,16568445,16705700,16717738,16827211,16860837,16886482,16980787,17439787,17673008,17820307,17972011,18007762,18063658,18255222,18511581,18531868,18648030,18825645,18844522,18881788,19011442,19100611,19178218,19193845,19233778,19566802,19621747,19677682,19882134,19891232,19991827,20046840,20065258,20072425,20080688,20360107,20433547,20836564,20945611,21091267,21383296,21526507,21924985,21980685,21991378,22031011,22319602,22377636,22552695,22560321,22590774,22701802,22958587,23032614,23180072,23300818,23331045,23446064,23626738,23681002,23969541,24056208,24086910,24153211,24500611,24762922,24886448,24983947,25061133,25301482,25409002,25579245,25692704,25945642,26077581,26234117,26309982,26345467,26376822,26507164,26534098,26729672,26748307,26857525,27015427,27063234,27193468,27284528,27486893,27536188,27545962,27678187,27768117,27997254,28398907,28658827,28721685,28763122,28904188,28904292,29046547,29289682,29475633,29618445,29623267,29762218,29766520,29927164,30024178,30070881,30446011,30470781,30571507,30634147,30636464,30695094,31120042,31210861,31503547,31593008,31639402,31794898,32029221,32229030,32321765,32415442,32721067,33082664,33136498,33221757,33318364,33335081,33378427,33454641,33487335,33497011,33649618,33785672,33956722,34095045,34199942,34330108,34377632,34466022,34667011,34782427,34830237,35069707,35403213,35542134,35584882,35635498,35719824,35888338,36010588,36090322,36241642,36342442,36368011,36368048,36645211,36845482,37084987,37217997,37371865,37477310,37683868,38008881,38110987,38130025,38164267,38195698,38351164,38674836,38675397,38786118,38902627,38954827,39005445,39059011,39160165,39266990,39386098,39830122,39865875,39928618,39932947,39977842,40085011,40086824,40100845,40125418,40184802,40437307,40665298,40736467,40812202,40856853,40861138,40914054,40920717,41082211,41105578,41605808,41670364,41690602,41809565,41885098,42523600,42664627,42769181,43012245,43128667,43143082,43479922,43766849,43863922,43976668,44007658,44396198,44846238,44914642,44955464,44972772,45097677,45213211,45244493,45510067,45552187,45728877,45756030,45761707,45863122,45879728,45928027,45942268,46173950,46379467,46476202,46711282,46742347,46806534,46899058,46945262,46992198,47039722,47072541,47100837,47120388,47180242,47246908,47320618,47459375,47719747,47834011,47839050,48020338,48098107,48121014,48222364,48338301,48415784,48505987,48531178,48579211,48806432,48857060,49095777,49119565,49675073,49745827,49881907,49914538,49960402,50050387,50097898,50171478,50488348,50574897,50577427,50600818,50810908,50874322,50885553,50897467,51028320,51576211,51614694,51636187,51666067,51736618,51861704,52436397,52445611,52682962,52794265,53120611,53172667,53199949,53286321,53327107,53443882,53677387,53701867,53711338,53750611,54000813,54222211,54244522,54402787,54430208,54467757,54513307,54557011,54665011,54687082,54753141,54819538,54834067,54907236,55303978,55408740,55519507,55646011,55768987,55871587,55905211,56069011,56072425,56095700,56330947,56397778,56413214,56517211,56585611,56627517,56780011,56951250,56980747,57014011,57170611,57190267,57238147,57308842,57328507,57395242,57406860,57419587,57473011,57572165,57620685,57651427,57701467,57717381,57776707,57829627,57837547,57850147,57851011,58041202,58169962,58341418,58344417,58465948,58628472,58726258,58943478,59102656,59109802,59237362,59278037,59411164,59619178,59727950,60589042,60748000,61091698,61098830,61233984,61258738,61433672,61462064,61716778,62462122,62524070,62873962,62900445,63353118,63423140,63701545,63977938,64343338,64586218,64634990,64707442,64718428,65207461,65391658,65752018,65957031,65991538,66137601,66230482,66470781,66490488,66706642,66825322,66983338,66999485,67064660,67093808,67219882,67286910,67314840,67416562,67527464,67534378,67691242,67808722,67926058,68090781,68160298,68192185,68341500,68588242,68600685,68861181,68888232,69052882,69086598,69112881,69144822,69284338,69438322,69515218,69776294,69795800,69860458,69913245,70128082,70204402,70787685,70964390,71150573,71153002,71159548,71471217,71564072,71567218,71673540,71749145,71772704,71775053,71802496,72372028,72378614,72464242,72674428,72687058,72724138,72897600,73015397,73174064,73241578,73243317,73271765,73318596,73948765,74157778,74376178,74485162,74485993,74548229,74574128,74801799,74912072,75028884,75152685,75154189,75244018,75480534,75506864,75682588,75729195,75746002,75881965,75968397,76107768,76280362,76315858,76441854,76451776,76607373,76916842,77373298,77499261,77561988,77616093,77733741,77757418,77757440,77771164,77861842,78104938,78245672,78520275,78623218,78636045,78661948,78726442,78806721,78829522,79001002,79122113,79342762,79410922,79445828,79818538,79845628,80019758,80122738,80162864,80399382,80477592,80509581,80744292,80777808,80860882,81425962,81612508,81815485,81822058,81830622,82009800,82150378,82199164,82245950,82320822,82348257,82444498,82508097,82509682,82784668,82835841,82979445,83479762,83754960,83799922,83846397,83863762,83878448,83895894,83959402,83992181,84086698,84209864,84276081,84530218,84682910,84945222,84995141,85033258,85115164,85146645,85157268,85470058,85594282,85621239,85780138,86008248,86098974,86211562,86822165,87194425,87414501,87477120,87503144,87522134,87926118,87935698,88026381,88054738,88380778,88511408,88557802,88675498,88738518,88816424,89201962,89320100,89338624,89696541,89867122,89989465,90183222,90381778,90410218,90537291,90782024,90806698,90823088,90875034,90975658,91003762,91058358,91479082,91645738,91839442,91991217,92223445,92261025,92279164,92335700,92714962,92754998,92844508,92904298,93200242,93307378,93308928,93354645,93440938,93467602,93740845,93817525,94181482,94224330,94363254,94468978,94573042,94633889,94650922,94726697,94736097,94780402,95396338,95468516,95713550,95852242,95933308,95937645,95944557,96153298,96245165,96625258,96674602,96759279,96969322,97047868,97073581,97110957,97253121,97407082,97575922,97648042,97696781,97863538,98125162,98178582,98219818,98223925,98411760,98441037,98549098,98592584,98695140,99060202,99175282,99381418,99575334,99578288,99680420,99744682,99751521,99814108,99918477,...,20220478303312745421189599840997981589742731799269068771232505754074021922796147474899755457865708833600811659926524079686151821521675597578571017737210631128529064854319507700628168708448032630279718163031643204814871780643643815962826847543218505680390296077173497853539391612490056091585109404093580910219168376882224194268339950736762251630092246217788004067803489769150629178683187003029238721276032914041315260401949622790917483118796778920826040344319815346497307860522507635919033838676283201249759731381816366524214680889421496040051569713304926638704820904616011040207505755277906848449094448458945601857408953273790415827658893239457467420191351828123218825270333943083443298303172461180785462272573615527801531767814444366465724780773223126667654638998899730409297856895226207395395083558452189948673085082227908038450645554379546045563142986504509753635070480853150803741281079130678268237431302816781863288758428266250038294875375459019773856164514618582754637642440493493193684915909726012286604566705068886373834252268816896063544984121919361558261381656368277935699807849356575611622213354910950883344015510663464657691963649360466168915580724063456380095674464791247645304947369076967137920198189105617288344891655686223998381816478088965976339038306851066334930361278863591792637534802645050681984728100374030510618788079661299313624734970779554370191046490442360348474183341677633899104525138547473080294768132225917174240847724101670592690782675193496462155162203384050186086747651788962405395105293723598490062915143690553305872247117031762697678293743691427404817866563046175106125197815274948162743297761761205056680092178052701658550180475427366636192917244586952587406365295419867362006991067903704294414506000941868318757873211834613566781667687104771105315716550731830713804040368416296449310169084375803928501810707186118521263942564604266802168665577067380475886639100799378391436163157622039101993093089046125346272850547420215739446959009689906980895279147264650883415826097903328167164882379040830830460770664139624747166381321686880556354044027360563079838188034866891470324291183816892610927590399302781555380796674195751978599361743763986712844190442479354361290356154711047906558774900233427934487128847187251696872576225809029510583760794980800316285454236654448907999537787367815851597328654851974123210371253554131088405137576731874483375909828911357609273474621605630353789971698}
15213   685825559254606483025993887963455461320973929303550269062312464: {501567,744751,774843,1047903,1063930,1276716,1382563,1519900,1684203,1823880,1945472,1975090,2019871,2051865,2188656,2339722,2370108,2462238,2566603,2772267,2885530,3224607,3315003,3342460,3462636,3562835,3586047,3614506,4010952,4037307,4275402,4343482,4468955,4512321,4668063,4840187,4938027,5163580,5362746,5373635,5746623,5932643,5955656,6195003,6196296,6448362,6585082,6700113,6732267,6837611,6970833,7089963,7100191,7350508,7629035,7976325,8071647,8079035,8508080,8694843,8831867,8872683,9126922,9154842,9407260,9495625,9571590,9694842,9875435,10112387,10143130,10203423,10209696,10822587,10954906,11056136,11288712,11394750,11485908,11793183,11817311,11850522,12005227,12104051,12145407,12154400,12171756,12320476,12438153,12585147,12699801,13038460,13673700,13988283,14198506,14285507,14341235,14584882,14585280,14774847,14807325,15182411,15463882,15529267,15557632,15646152,15794480,15994527,16342143,16408440,16777211,16862847,17036223,17209482,17296107,17404828,17502336,17540985,17570602,17600680,17601921,17642283,17768790,17859658,17887955,18146908,18452003,18459495,18710384,18771035,18953376,19109247,19212035,19453407,19603516,19625343,19690128,19800765,20092955,20180287,20226363,20282563,20283580,20316538,20483583,20515306,20532767,20631731,20725291,20882125,20972827,21049182,21120816,21168447,21322548,21383947,21465546,21510303,21775642,22091260,22151394,22481116,22525242,22856891,23054442,23164835,23223226,23256347,23388463,23602235,23760918,23807787,23873962,24007282,24111546,24340296,24485163,24671867,24682108,24753466,24864040,24885523,25058550,25076607,25100860,25329723,25435211,26045705,26280298,26358202,26509512,26729120,26806906,27011643,27095487,27215227,27382833,27643882,27797802,27972045,28266783,28322682,28517163,28593811,28767327,28839263,28850667,28947331,28974443,28975090,29116378,29307580,29350203,29516523,29533087,29562463,29823201,29836848,30070260,30080428,30097887,30121032,30489946,30710152,30911747,31108060,31254846,31822042,31959388,32074944,32115880,32987067,33133955,33412090,33414844,33479403,33566454,33886161,33991835,34052703,34105660,34420235,34548921,34770108,34951227,35073658,35075971,35079976,35169096,35440107,35521503,36084312,36130235,36130365,36188218,36348107,36405082,37024156,37119263,37144383,37208150,37329672,37408955,37530322,37756666,37952223,38084722,38113503,38295580,38365547,38483338,38539056,38918463,39185123,39300844,39336031,39464973,39491260,39565233,39760746,39801147,40094508,40144762,40355242,40594851,40627708,40790202,40796458,40926792,41279711,41304282,41318943,41353330,41445106,41647955,41891711,41983162,41995881,42113962,42232090,42363811,42435563,42705628,42912635,42972040,43144683,43218527,43356282,43356438,43934523,43959011,44178107,44295676,44606188,44643327,44649780,44890746,45013235,45036267,45378991,45460060,45696731,45954696,46042641,46056538,46440316,46551007,46602922,46680063,46783931,47104835,47204284,47220827,47389512,47432003,47459103,47626432,47692347,47938955,48146842,48343545,48623163,49623996,49704747,49977546,50108530,50474427,50678508,50931667,50935083,50942111,51264127,51299913,51495162,51566448,51567196,51629707,51699033,51714824,52007260,52087955,52594867,52848682,53154500,53313201,53377323,53453247,53498098,53579736,53647282,53737723,53754463,53779306,53832507,54015882,54135483,54362463,54475804,54513663,54552072,54560956,54970835,55037867,55268223,55312618,56153611,56194330,56215965,56525802,57186347,57293547,57349660,57427835,57443203,57526746,57765371,57919258,58012254,58179177,58615007,58707082,58838783,58900485,59058635,59079147,59086531,59304562,59745183,59752643,59794984,59892927,59963696,59966763,60066847,60130236,60188127,60277203,60277955,60519730,60575203,60770291,60971836,60997947,61008040,61071325,61119082,61218303,61291707,61371081,61658367,62408712,62473786,62505546,62535903,62618563,62656264,62763388,62801116,62827184,62827647,62869483,63067091,63110435,63182687,63384827,63513635,63785400,63981307,64027306,64161352,64451068,64714623,64827130,65219883,65252362,65264602,65268491,65461036,65548063,65795883,65965002,66011487,66068506,66323723,66594297,66895304,67269357,67336042,67371963,67378987,67433196,67459158,67847404,68037760,68134847,68374282,68464963,68634045,68794683,68819592,68913402,69260925,69714303,69915196,70029311,70066923,70119625,70142506,70209801,70348587,70360111,70417893,70488297,70559583,70590907,70670002,70680582,70770363,70870362,70980927,71048428,71758575,71896123,71920607,72001084,72030507,72181521,72333546,72623676,72636787,72727331,72796767,72865067,73004188,73023067,73082435,73209648,73285590,73393642,73683631,73722043,73878320,73964698,74263955,74751611,74871807,74900506,74940603,74973658,75146847,75257217,75503356,75732522,75901227,75935000,76216362,76311483,76542480,76565251,76792090,76827580,76838527,76956508,77422041,77447482,77575487,77604927,77714371,77792556,78171296,78591304,79024443,79251322,79278925,79434271,79470202,79509946,79946483,80154563,80165823,80182931,80567007,80885467,80898035,81329567,81366783,81575602,81645312,82030623,82185647,82229307,82360854,82955967,83113110,83123443,83272138,83301802,83830825,83867260,84143550,84409330,84470824,84596667,84619821,85365563,85426875,85963263,86092863,86110290,86242847,86268511,86835871,86856787,87011962,87061803,87131002,87244750,87254943,87512127,87698922,87942708,87986362,88089387,88183468,88415217,88530463,88627708,88653984,88664703,88702003,88856043,88949435,89006698,89072843,89116746,89125426,89428767,89455090,89541802,89591925,89700827,89715880,89753120,89840287,90465035,90543403,90659327,90709162,90787708,90843035,90883563,90940762,91122000,91467580,91587947,91637547,91648245,91814908,91850976,91888107,92115464,92150508,92193096,92390002,92430127,92575167,92688922,93148003,93217660,93640090,93693183,93720562,93786105,94310943,94351306,94383580,94603235,95029677,95119907,95134710,95291506,95294956,95551162,95564720,95966907,96281722,96350506,96447443,96515007,96879327,96952485,97061163,97077642,97196800,97213955,97544122,97657756,97758128,97759498,97807090,98087487,98327435,98461931,98628027,98882441,98987307,99307285,99345723,99735732,99807035,99994282,...,30330717454969118131784399761496972384614097698903603156848758631111032884194221212349633186798563250401217489889786119529227732282513396367856526605815946692793597281479261550942253062672048945419577244547464807222307670965465723944240271314827758520585444115760246780309087418735084137377664106140371365328752565323336291402509926105143377445138369326682006101705234653725943768024780504543858081914049371061972890602924434186376224678195168381239060516479723019745961790783761453878550758014424801874639597072724549786322021334132244060077354569957389958057231356924016560311258632916860272673641672688418402786113429910685623741488339859186201130287027742184828237905500914625164947454758691771178193408860423291702297651721666549698587171159834690001481958498349595613946785342839311093092625337678284923009627623341862057675968331569319068344714479756764630452605721279726205611921618696017402356146954225172794933137642399375057442313063188529660784246771927874131956463660740239790527373864589018429906850057603329560751378403225344095317476182879042337392072484552416903549711774034863417433320032366426325016023265995196986537945474040699253373371086095184570143511697186871467957421053615450706880297283658425932517337483529335997572724717133448964508557460276599502395541918295387688956302203967576022977092150561045765928182119491948970437102456169331555286569735663540522711275012516450848656787707821209620442152198338875761361271586152505889036174012790244693232743305076075279130121477683443608092657940585397735094372715535829958808370675547644046517440615537141107226799844569262659187796722912422244114946642641807585020138267079052487825270713141049954289375866880428881109547943129801043010486601855556441621759001412802478136809817751920350172501530657156657973574826097746070706060552624444673965253626563705892752716060779177781895913846906400203252998365601070713829958651199067587154244736433058652989639633569188019409275821130323609170438514534860471342918720896976325123739146854992250747323568561246245691155996209437120749571982530320834531066041040844619757282052300337205486436775725338916391385598954172333071195011293627967899042615645980069266285663719031541935534232066571859838162350350141901730693270780877545308864338713544265875641192471200474428181354981673361999306681051723777395992982277961184815556880331196632607706365097811725063864743367036413910211932408445530684957547}
15214   688908616742070281003461505459068303850775779116878673268691546: {395174,577334,622093,668756,803533,1033124,1255873,1397204,1595895,1616449,1702288,1706413,1899875,1915074,1975873,2065549,2210294,2245604,2279850,2431840,2735820,2918208,2958349,2962635,3160144,3282984,3509583,3555162,3693357,3696356,3843949,3932113,4178075,4190294,4299476,4328295,4420004,4548422,4616848,4722349,4781396,5013690,5158849,5193954,5211199,5347936,5383076,5421759,5441222,5680273,5700536,5940013,5975174,6016428,6224084,6371473,6413103,6454475,6515223,6543553,6584036,6801133,6862214,6886849,7150328,7228993,7444570,7662164,7745370,8044119,8163949,8260004,8261728,8449814,8586049,8597816,8670253,8933484,8976356,9188135,9294444,9453284,9508333,9672543,9674119,9841549,9877623,10635100,10762196,11025762,11593124,11759075,11830244,11898049,12206456,12708049,12762120,12798614,12926456,13030033,13604564,13612928,13690383,13732263,13820170,13829953,14110890,14357385,14430116,14542263,14683574,15016333,15051616,15193000,15214695,15314544,15400595,15724244,15800696,16193876,16229008,16298075,16341313,16371586,16432359,16572973,16584204,16780196,16933068,17034349,17092125,17228862,17775783,17873473,18066134,18100813,18176449,18231600,18257634,18480714,18651044,19003693,19236422,19447040,19557690,19699796,19743100,19748173,19970113,20485453,20510550,20565254,20851393,20861536,21226214,21297759,21326036,21720422,21756035,21789524,21794413,21877323,21877920,22000850,22225549,22483796,22683635,22714964,22945976,23061476,23195823,23336448,23358422,23387980,23469228,23523044,23684294,23691720,24504395,24612660,24688849,25033549,25271168,25308013,25354475,25478996,25814223,25937876,26107242,26124493,26167124,26253504,26270534,26355903,26394349,26401020,26653185,26730049,26789487,26871383,26968484,27130513,27220362,27311444,27396049,27614075,27660433,28065576,28101395,28161088,28186022,28224596,28430064,28620728,28680404,28706449,28771213,29405274,29414893,29451494,29535192,29670349,30033656,30080774,30237734,30425370,30474807,30680653,30694979,30739256,30772959,30852635,30992593,31080050,31376075,31573773,31681224,31743716,31799414,31983822,32148728,32198319,32222353,32453728,32646884,32663463,33136890,33227091,33411400,33435476,33654422,33660049,33721674,33772964,33787863,33895633,33961574,34188493,34537549,34581663,34768813,34834839,34879574,34882727,35113549,35346016,35640614,35641377,35810943,35944022,36010923,36015524,36127316,36167319,36299713,36510444,36634475,36743233,36885563,37023162,37063736,37130199,37296060,37587825,37600535,37651290,37689044,37763576,38022884,38201222,38356436,38387690,38467556,38471233,38885075,39133604,39243494,39355364,39420447,39537303,39718849,39764268,39782464,39949235,39983654,40093680,40130516,40144850,40161376,40210359,40226449,40276813,40720214,40867094,41268973,41463949,41465823,41657773,41673128,41696703,41754253,41768555,41891222,41946349,42182534,42484023,42632075,42766592,43053014,43120849,43396033,43462635,43532653,43674567,43848913,43849970,43961370,43982756,44062022,44639204,44755272,44863213,45105390,45120642,45181548,45250471,45403604,45734919,45756049,45917174,45963949,46065228,46280195,46333633,46360144,46536493,46601636,46662090,46882269,46892128,47253476,47362004,47733063,47869475,47939082,48094573,48112416,48173820,48306422,48355393,48502849,48721873,49001222,49126055,49364075,49525844,49709713,49772896,49914049,49967894,50118135,50122266,50349681,50380753,50413549,50602964,50769553,50784635,50818004,50896849,51085633,51158490,51179053,51333313,51385408,51485773,51814849,51844333,51891284,52155162,52320611,52418893,52468234,52610487,52619964,52690934,52753644,52911373,53014328,53068196,53303953,53382035,53459344,53496614,53715050,53802193,54030854,54126468,54203053,54282327,54294349,54384493,54386936,54539473,54569056,54604813,54607623,54754753,54824231,54962833,54973786,55072376,55091924,55242049,55319233,55356374,55369595,55451533,55536234,55757735,55810093,55812225,55895233,55994508,56060113,56141183,56293933,56295483,56580493,56634999,56687053,56751313,56797814,56825075,56868911,57045613,57127083,57200593,57258049,57317654,57390349,57443370,57461953,57469549,57477073,57526244,57548353,57612433,57630253,57636049,57725007,57776449,57790273,57808376,57808584,57843949,57852049,57859393,57862093,57866449,58050395,58093094,58533391,58579364,58951266,59005355,59236890,59246534,59524436,59533040,59641119,59854328,60048356,60141762,60217143,60532863,60892022,60941562,61143014,61185303,61194687,61268294,61272928,61390188,61956423,62029995,62167659,62240084,62421722,62872667,62974743,63007094,63170943,63186016,63278804,63348135,63589796,64058442,64458060,64458995,64643530,64830884,65009075,65034423,65034657,65442134,66165328,66272996,66443125,66443514,66636728,66670162,66756854,66909282,66974670,66994022,67299236,67336119,67571344,67913444,68094755,68190090,68201195,68399884,68660216,68755264,68767391,68932044,69084807,69334022,69564854,69660474,69904383,70139414,70806426,71084268,71169764,71270996,71439648,71687075,71776676,72021176,72180644,72220263,72483284,72684884,72736022,72736096,72878927,73290422,73690964,73911971,74169974,74435994,74743730,74954620,74966319,75162795,75367736,76017762,76214795,76221974,76260050,76328534,76391396,76702328,77063363,77242743,77349672,77350794,77572236,77805254,77909654,78010890,78118022,78320330,78454235,78501395,78533980,78772196,78820247,79273023,79660244,79731750,79857236,79865894,79955684,80170022,80173648,80201690,80247147,80250836,80369604,80470923,80563835,80601031,80668959,80874614,81023823,81330596,81472934,81624404,81713706,81722276,81826295,81828108,81841434,82164422,82211156,82968927,83211616,83249051,83340728,83381204,83619130,83770196,84291495,84788703,84809255,85047200,85329254,85538362,86024490,86257334,86286164,86290119,86878887,86959844,87018381,87393995,87533698,87727844,87953336,88015316,88060623,88792396,88810535,88818587,88956843,89182163,89692476,89829284,89910928,89945544,90001355,90195354,90426422,90488986,90779595,91020134,91104374,91255235,91457754,91512060,91523414,91678623,91726244,91759456,91856054,91884536,92347900,92758934,92952404,93422564,93484694,93613068,93710679,93758319,93798116,93799279,93890524,93984396,94079444,94145082,94201674,94240776,94360484,94379195,94493816,94641236,94918750,95439494,95469059,95668022,95678100,96034475,96040676,96040959,96195635,96196214,96242028,96444728,96676602,96831568,97011974,97062356,97086407,97158422,97240695,97612864,97714120,97878543,97896903,98191554,98239130,98947503,99102759,99350146,99491654,99763814,99829076,99920804,...,40440956606625490842379199681995963179485463598538137542465011508148043845592294949799510915731417667201623319853048159372303643043351195157142035474421262257058129708639015401256337416896065260559436326063286409629743561287287631925653695086437011360780592154346995707078783224980112183170218808187161820438336753764448388536679901473524503260184492435576008135606979538301258357366374006058477442552065828082630520803899245581834966237593557841652080688639630692994615721045015271838067677352566402499519462763632733048429361778842992080103139426609853277409641809232022080415011510555813696898188896917891203714817906547580831655317786478914934840382703656246437650540667886166886596606344922361570924545147231055603063535628888732931449561546446253335309277997799460818595713790452414790790167116904379897346170164455816076901291108759092091126285973009019507270140961706301607482562158261356536474862605633563726577516856532500076589750750918039547712329029237165509275284880986986387369831819452024573209133410137772747668504537633792127089968243838723116522763312736555871399615698713151223244426709821901766688031021326929315383927298720932337831161448126912760191348929582495290609894738153934275840396378211234576689783311372447996763632956177931952678076613702132669860722557727183585275069605290101363969456200748061021237576159322598627249469941559108740382092980884720696948366683355267798209050277094946160589536264451834348481695448203341185381565350386992924310324406768100372173495303577924810790210587447196980125830287381106611744494234063525395356587487382854809635733126092350212250395630549896325486595523522410113360184356105403317100360950854733272385834489173905174812730590839734724013982135807408588829012001883736637515746423669227133563335374209542210631433101463661427608080736832592898620338168751607857003621414372237042527885129208533604337331154134760951773278201598756782872326315244078203986186178092250692545701094840431478893918019379813961790558294529301766831652195806656334329764758081661660921541328279249494332762643373761112708088054721126159676376069733782940648582367633785221855180798605563110761593348391503957198723487527973425688380884958708722580712309422095813117549800466855868974257694374503393745152451618059021167521589961600632570908473308897815999075574735631703194657309703948246420742507108262176810275153463748966751819657822715218546949243211260707579943396}
15215   692005423182021294571911124945140175343547540327219188760977915: {592761,835945,866001,1003134,1291405,1489502,1549686,1746505,1838353,2095806,2127860,2553432,2765126,2807005,2839969,2872611,3039800,3315441,3368406,3419775,3647760,3890944,3950180,4039742,4103730,4377312,4620445,4679444,4740216,4924476,4987969,5133206,5173993,5332743,5374345,5525005,5544534,5720221,5771060,5976745,6256537,6285441,6449214,6630006,6630601,6684920,6728845,6822633,6925272,7125670,7171153,7172094,7229012,7520535,7523089,7780105,7790931,8021904,8074614,8080813,8161833,8230045,8550804,8686964,8937910,8962761,9024642,9336126,9536269,9577705,9680374,9876054,10293321,10325005,10327160,10437661,10680649,10725492,10747270,10809793,11155969,11166855,11220445,11310649,11493246,11618055,11816605,11865286,11911312,12150193,12390006,12392592,12674721,12896724,13170164,13293875,13400226,13452745,13464534,13528057,13675222,13805473,13825609,13941666,13965913,14179926,14200382,14491405,14701016,14787805,14982361,15184417,15258070,15697069,15952650,16119169,16143294,16158070,16254877,16538643,16968577,17005705,17016160,17109433,17234209,17389686,17663734,17745366,18037645,18253844,18309684,18454441,18758113,18814520,18991250,19143180,19197921,19389684,19655305,19750870,19827613,20077729,20224774,20242345,20286260,20406846,20419392,20634457,20730255,20975245,21062569,21166335,21228793,21645174,21720193,21909812,22025361,22054609,22112272,22577424,22789500,22962829,22971816,23313805,23586366,23634622,23701044,24010454,24208102,24290814,24308800,24343512,24557379,24624745,24640952,24678875,24692593,24860233,24876306,24901549,25003033,25043137,25170294,25399602,25545937,25843293,26076920,26279449,26312809,26657545,26675953,26896849,27099201,27236905,27347400,27386451,27450529,27721071,27976566,28104745,28130137,28393705,28397012,28571014,28603993,28682470,28826845,28854633,29157661,29169764,29170560,29234975,29336535,29403805,29549694,29614650,30364822,30765825,30847881,30927764,31058534,31115264,31292304,31542313,31588960,31839321,31848745,31989054,32383201,32422345,32430769,32580633,32684286,32708905,32816880,32857933,33001275,33043129,33402289,33554422,33710605,33725694,34072446,34139305,34418964,34592214,34610137,34809656,35004672,35037633,35056393,35077069,35081970,35141204,35201360,35203842,35280745,35284566,35526441,35537580,35719316,35775910,35850505,36293816,36463987,36904006,36918990,37420768,37542070,37813081,37906752,38218494,38424070,38854873,38906814,39160863,39207032,39250686,39380256,39405801,39601530,39679645,39686089,40185910,40360574,40452726,40565126,40567160,40633076,40808605,40830543,40967166,41030612,41065534,41263462,41450582,41498929,41764250,41794345,41945654,42098364,42216205,42241632,42255169,42279033,42336894,42645096,42673009,42767894,42931092,43020606,43311769,43551284,44107911,44177241,44182520,44302788,44962232,45019405,45050484,45052921,45121161,45159145,45197293,45341101,45356601,45378793,45638055,45713782,46103353,46108884,46126993,46207309,46329670,46387537,46446452,46512694,46620075,46776926,47111305,47204470,47224873,47521836,47528605,47553049,47588569,47615574,47658397,47699121,47747924,47945545,47975733,48014564,48084445,48124441,48188329,48223092,48680592,48785113,48821533,48917005,48970326,49194205,49343734,49364216,49394221,49506932,49705335,49728080,49771046,50010409,50117100,50153214,50163145,50201720,50307169,50481633,50582329,50582511,50659446,50870422,50942361,51072817,51076441,51269713,51354673,51910969,52091410,52319361,52372537,52560596,52716404,53019024,53458240,53460921,53613812,53916033,54023286,54190974,54430454,54765666,54978445,55111969,55287764,55534743,55595604,55799005,55944090,56342749,56476935,56533566,56645364,56754505,56787433,57034326,57187622,57301833,57534654,57581535,57666433,57678526,57701334,57722641,57894662,57948886,57950180,58232756,58252045,58274317,58307137,58615160,58700406,58865241,59033046,59066174,59066845,59124926,59202505,59646402,59673696,59961229,59975481,60077689,60140520,60160856,60195774,60204313,60217275,60242064,60851593,60979892,61080321,61130233,61278829,61300641,61420304,61808521,61823494,61907305,62216120,62417293,62440873,62509692,62836833,63018529,63152521,63253705,63273801,63522505,63644084,63778849,63918776,64149888,64231760,64561297,64579521,64864105,64962481,65324473,65774955,65942055,65946769,65974134,66093033,66267910,66335245,66824180,66829688,66958806,67114537,67132908,67658085,67680963,67772322,67919737,67983670,68105406,68211320,68270317,68460073,68840470,68864905,68875761,69097842,69272281,69540216,69777613,69902454,69993135,70147316,70151942,70159952,70273897,70338192,70354273,70880214,71043006,71099341,71721289,71907805,71908623,72168624,72260470,72260730,72376436,72459633,72696214,72810164,72923137,72947137,73224205,73501833,73812481,74048312,74133169,74238526,74288766,74405545,74416300,74659344,74817910,74909341,74951841,75060445,75060644,75075913,75183399,75320221,75513332,75703969,75741769,75904446,75982993,76169444,76227006,76591160,76731094,76737735,76776001,76959169,76966676,77078112,77716129,77743009,77800105,77836926,78232743,78370246,78601688,78672062,78702351,78707569,78838969,78929946,78982520,79036401,79098505,79130466,79464913,79487245,79521492,79602294,80189016,80244921,80289524,80398969,80523001,80572575,80621533,80710484,81038605,81046281,81189702,81255416,81580404,81592916,81853584,82460679,82559422,82608564,82637886,82682089,82706660,82761913,82841245,82873393,82890212,83034561,83295910,83304351,83656609,83783422,83966324,83991762,84124045,84148273,84227924,84389137,84464180,84727622,84871126,84891805,84997081,85196721,85411256,85499855,85825270,85944080,85976481,86113261,86165055,86289366,86437054,86712564,86712876,86961181,87139641,87606049,87869046,87918022,88191169,88342813,88354609,88356214,88426899,88591352,88754473,88855335,88869801,88919089,88962205,89088745,89212376,89286654,89299560,89616217,89720845,89781492,90026470,90072534,90212643,90225805,90305521,90604105,90757982,90856105,90920120,91338033,91393462,91412343,91477081,91680121,91714521,91902441,91909392,91909873,92085282,92113076,92113705,92328601,92530609,92741533,92837569,92880632,93102014,93205844,93360126,93567862,93632583,93693275,94209670,94408568,94441654,94510641,94779024,94864006,94918206,95252864,95384694,95489245,95877910,96087663,96116761,96293684,96664429,96687090,96784609,96965295,97246326,97799341,98163201,98167475,98387113,98465245,98702521,99247992,99329437,99409494,99552001,99575305,99665271,99821545,99944605,99955092,...,60661434909938236263568799522993944769228195397807206313697517262222065768388442424699266373597126500802434979779572239058455464565026792735713053211631893385587194562958523101884506125344097890839154489094929614444615341930931447888480542629655517041170888231520493560618174837470168274755328212280742730657505130646672582805019852210286754890276738653364012203410469307451887536049561009087716163828098742123945781205848868372752449356390336762478121032959446039491923581567522907757101516028849603749279194145449099572644042668264488120154709139914779916114462713848033120622517265833720545347283345376836805572226859821371247482976679718372402260574055484369656475811001829250329894909517383542356386817720846583404595303443333099397174342319669380002963916996699191227893570685678622186185250675356569846019255246683724115351936663138638136689428959513529260905211442559452411223843237392034804712293908450345589866275284798750114884626126377059321568493543855748263912927321480479581054747729178036859813700115206659121502756806450688190634952365758084674784144969104833807099423548069726834866640064732852650032046531990393973075890948081398506746742172190369140287023394373742935914842107230901413760594567316851865034674967058671995145449434266897929017114920553199004791083836590775377912604407935152045954184301122091531856364238983897940874204912338663110573139471327081045422550025032901697313575415642419240884304396677751522722543172305011778072348025580489386465486610152150558260242955366887216185315881170795470188745431071659917616741351095288093034881231074282214453599689138525318375593445824844488229893285283615170040276534158104975650541426282099908578751733760857762219095886259602086020973203711112883243518002825604956273619635503840700345003061314313315947149652195492141412121105248889347930507253127411785505432121558355563791827693812800406505996731202141427659917302398135174308489472866117305979279267138376038818551642260647218340877029069720942685837441793952650247478293709984501494647137122492491382311992418874241499143965060641669062132082081689239514564104600674410972873551450677832782771197908344666142390022587255935798085231291960138532571327438063083871068464133143719676324700700283803461386541561755090617728677427088531751282384942400948856362709963346723998613362103447554791985964555922369631113760662393265215412730195623450127729486734072827820423864816891061369915094}
15216   695116039398291603173565264854224533395514042950798356654997330: {258383,349439,440423,652439,790348,1014983,1154668,1195823,1244186,1337512,1504701,1607066,1646663,2066248,2095703,2234253,2324529,2453639,2511746,2659825,2794408,2988383,3143709,3191790,3232898,3404576,3412826,3491039,3799750,3830148,3951746,4020743,4131098,4138103,4147689,4372439,4420588,4491208,4559700,4863680,4937725,5014223,5052609,5159543,5188583,5471640,5536439,5767703,5836416,5849305,5916698,5925270,6059613,6155595,6199943,6320288,6401039,6565968,6630383,6744863,6830639,7019166,7059023,7110324,7213825,7343783,7386714,7392712,7400639,7687898,7699809,7864226,8023943,8249639,8316801,8356150,8380588,8446703,8587223,8598952,8656590,8840008,9036265,9096844,9233696,9444698,9509639,9562792,9593063,9673821,9787439,9926039,9945009,10027380,10317698,10387908,10422398,10533503,10688505,10695872,10758141,10766152,10843518,10858705,10882444,11109743,11360546,11401072,11491943,11655263,11880026,11899703,11926823,11950348,12032856,12111921,12448168,12742946,12826206,12863389,12908950,13030446,13087106,13168072,13406865,13536963,13602266,13724428,13773698,13778783,14004189,14300656,14334863,14457986,14466743,14520561,14729903,14814081,14889140,15044639,15324328,15490740,15644663,15904223,16088238,16120905,16327898,16462705,16520008,16523456,16652423,16899628,17036783,17172098,17195632,17239869,17340506,17444783,17797929,17866968,17876039,17952712,18128639,18376270,18585009,18588888,18906568,19016666,19345086,19348238,19454063,19676903,19683098,19755246,19997639,20071463,20100339,20196801,20415023,20488439,20512833,20854439,20912499,21269889,21270200,21300573,21387983,21524392,21560833,21581039,21749543,22013543,22051524,22538639,22817305,22887105,22894439,23186248,23518150,23530343,23600639,23660488,23670863,23796098,23928975,24214941,24237105,24412912,25037303,25060223,25174703,25357825,25380263,25416098,25524240,25597228,25852912,25857383,26060066,26084529,26286023,26398343,26420783,26495601,26618049,26756423,26867903,27023639,27201143,27209128,27225856,27380766,27387265,27422303,27464526,27640340,27659906,27686639,28124639,28221780,28407623,28486875,28710863,28714770,28775639,28860232,29034023,29084526,29098439,29367148,29626305,29632439,29674943,29802263,30032666,30103232,30337161,30386000,30429390,30458449,30610269,30629088,30685439,30801190,30935183,31369463,31448488,31513439,31554503,31601392,31757089,31820639,32369063,32387752,32458016,32467761,32590823,32596150,32682626,32743172,32864718,33131039,33145946,33168408,33270143,33428639,33560392,33566903,33685103,33783383,33866136,33920639,33979343,34068698,34077023,34184250,34306153,34457724,34793639,35119223,35176439,35379549,35451933,35496265,35551566,35593823,35746946,35969903,36015681,36082103,36132268,36201626,36212639,36305639,36312153,36352898,36436221,36462205,36463200,36515268,36822743,36961428,37260983,37302088,37314459,37640663,37730543,37755441,38007386,38099403,38159183,38472844,38530463,38659705,38706023,38894080,38950463,39115380,39341953,39383063,39399592,39434639,39486143,39486200,39496346,39571823,39940226,40081703,40451039,40970906,40997783,41021100,41130508,41145383,41225041,41227103,41324903,41487263,41681039,41702786,41723072,41964849,42001439,42112823,42452428,42585743,42595518,42652072,42757343,42819503,42856521,42866039,43023705,43143743,43193689,43220423,43327439,43440844,43512070,43555439,43579048,43588826,43592029,43631039,43736543,43754646,43755840,43856639,43926505,44001700,44258183,44324541,44346623,44421975,44449439,44451098,44649145,44885639,44967592,45000743,45272063,45367270,45429928,45547233,45568583,45778223,45806039,45891952,45972263,45986063,46122952,46391646,46464023,46558439,46587801,46665863,46672896,46716844,46775960,46938456,47046088,47116703,47260583,47312663,47351639,47368588,47383440,47983581,47990639,48116039,48178439,48265463,48524183,48851639,49008790,49026429,49125983,49173263,49225320,49377698,49442639,49593023,49764863,49901039,49923623,49934903,50067098,50091983,50331633,50542336,50564639,50588541,50616026,50708950,50779439,50791345,50853863,50917343,50938439,50957992,51043439,51108669,51199439,51281903,51288265,51475703,51628446,51656639,51825143,51875752,51888321,51981623,52126463,52214484,52248986,52334248,52507008,52541068,52596263,52622955,52640749,52706039,52711806,52788698,52802040,52805763,52926849,52948823,53001983,53063639,53220383,53306370,53340503,53366039,53460098,53517743,53551103,53578974,53663865,53740439,53742766,53936968,54121943,54176039,54261026,54381023,54403439,54425783,54439105,54440724,54536423,54551039,54622888,54659639,54752303,54792098,54850583,54892223,54954143,55042439,55096103,55228150,55318463,55320866,55356009,55378485,55388423,55432439,55543823,55574303,55646639,55822439,55907639,55928929,55946783,56029343,56131152,56136623,56202790,56230439,56245823,56306639,56313105,56322176,56341583,56371223,56372044,56415143,56449192,56584343,56755943,56768639,56802143,56860128,56879663,56903543,56969639,57007439,57018623,57037103,57062639,57217439,57241456,57271703,57274823,57326639,57327741,57360808,57378983,57412898,57444743,57491039,57508343,57542426,57591143,57636105,57650303,57652223,57695903,57720863,57755639,57776039,57784943,57792263,57806039,57814583,57835439,57858863,57859463,57867503,57869783,57873383,57875423,57877943,57880439,57880703,58058065,58360221,58475977,58810548,58829786,58876029,58902988,59070384,59340698,59402295,59684905,60018205,60067312,60161548,60278865,60475468,60540861,60679089,60847689,60850740,60949614,61361306,61389958,61450749,61478512,61545918,61598301,61705270,61883665,61895193,61985186,62160100,62175873,62646375,62752150,62918481,63147546,63362448,63487432,63505341,63598828,63967644,64151841,64297456,64396638,64444706,64530909,64792273,64907456,65293768,65326926,65700745,65895505,66273780,66454182,66822800,66870952,67017265,67208713,67308844,67320098,67443348,67545928,67575726,67791266,67923148,68376986,68570673,68776477,69075098,69109705,69163326,69494505,69537626,69669678,69759148,69765454,69769041,70165389,70227098,70692032,70806705,71098489,71281228,71282754,71423361,71621886,71888044,72021846,72031048,72254632,72334638,72437725,72599426,72790945,73020888,73268950,73455489,73486466,73771126,74015601,74046324,74127472,74260398,74304061,74592120,74656569,74734849,75175650,75201070,75229821,75302580,75378088,75527152,75989169,76045768,76224865,76305633,76402444,76712872,76775380,76935112,76942466,77517433,77770150,78060829,78137115,78267208,78486988,78710728,78840894,79074606,79437698,79528536,79555105,79564928,79898470,79967308,80187360,80261032,80289700,80322752,80420718,80452898,80553626,81034929,81270553,81286461,81440428,81645681,81734188,82148499,82537946,82607497,82927898,82931646,83315546,83346256,83393406,83508506,83530225,83537110,83782444,83892698,83916135,84365068,84800349,84968046,85264150,85533184,85551489,85781433,86106028,86129641,86241698,86301981,86517789,86552001,86792066,86841993,86923329,86925270,87065306,87349134,87684145,87697826,87699940,87922740,87965512,88050609,88124044,88549569,88599261,88687389,89278408,89469603,89510544,89726426,90210780,90241284,90242593,90293661,90363096,90470545,90500942,90807208,91012705,91469838,91512098,91834348,91927898,92130456,92560390,92667266,92720288,92735241,93020375,93043057,93072986,93151201,93203272,93324180,93764538,93784256,93825805,94391665,94506952,94724008,95211805,95332657,95466126,95481673,95738950,95878164,96189146,96208345,96224832,96347640,96612844,96710786,97005698,97443746,98002444,98252110,98728150,98961201,99051688,99401865,99419426,99545792,99828098,99935788,...,90992152364907354395353199284490917153842293096710809470546275893333098652582663637048899560395689751203652469669358358587683196847540189103569579817447840078380791844437784652826759188016146836258731733642394421666923012896397171832720813944483275561756332347280740340927262256205252412132992318421114095986257695970008874207529778315430132335415107980046018305115703961177831304074341513631574245742148113185918671808773302559128674034585505143717181549439169059237885372351284361635652274043274405623918791218173649358966064002396732180232063709872169874171694070772049680933775898750580818020925018065255208358340289732056871224465019577558603390861083226554484713716502743875494842364276075313534580226581269875106892955164999649095761513479504070004445875495048786841840356028517933279277876013034854769028882870025586173027904994707957205034143439270293891357817163839178616835764856088052207068440862675518384799412927198125172326939189565588982352740315783622395869390982220719371582121593767055289720550172809988682254135209676032285952428548637127012176217453657250710649135322104590252299960097099278975048069797985590959613836422122097760120113258285553710430535091560614403872263160846352120640891850975277797552012450588007992718174151400346893525672380829798507186625754886163066868906611902728068931276451683137297784546358475846911311307368507994665859709206990621568133825037549352545970363123463628861326456595016627284083814758457517667108522038370734079698229915228225837390364433050330824277973821756193205283118146607489876425112026642932139552321846611423321680399533707787977563390168737266732344839927925422755060414801237157463475812139423149862868127600641286643328643829389403129031459805566669324865277004238407434410429453255761050517504591971469973920724478293238212118181657873334021895760879691117678258148182337533345687741540719200609758995096803212141489875953597202761462734209299175958968918900707564058227827463390970827511315543604581414028756162690928975371217440564976752241970705683738737073467988628311362248715947590962503593198123122533859271846156901011616459310327176016749174156796862516999213585033880883903697127846937940207798856991157094625806602696199715579514487051050425705192079812342632635926593016140632797626923577413601423284544064945020085997920043155171332187978946833883554446670640993589897823119095293435175191594230101109241730635797225336592054872641}
15217   698240526481639026479410498529950325990754454756866739028294033: {15217,987935,1170323,1185522,1443335,1671890,1732002,1807967,1866279,2006268,2172599,2410599,2445107,2582810,2979004,3099372,3174083,3356327,3493010,3676706,3767619,3929807,4191612,4255720,4787685,4849347,5106864,5119239,5525735,5530252,5614010,5679938,5699625,5745222,5927619,6079600,6114719,6196647,6468623,6630882,6736812,6839550,7295520,7524083,7735007,7781888,7900360,8079484,8207460,8367443,8474999,8754624,8875047,8887905,9240890,9358888,9420383,9480432,9848952,9975938,10266412,10347986,10475735,10528749,10658183,10665486,10748690,10892147,11050010,11080071,11089068,11157443,11371055,11440442,11522063,11531847,11542120,11796339,11953490,12513074,12534225,12570882,12898428,12984885,13184327,13260012,13261202,13369840,13408787,13457690,13603055,13645266,13850544,14167047,14251340,14342306,14344188,14359319,14455007,14458024,14937935,15041070,15046178,15476547,15560210,15581862,15633597,15699143,15708623,16043808,16149228,16161626,16265277,16315559,16323666,16460090,16543247,16970819,17040819,17101608,17155535,17373928,17375903,17543783,17820039,17875820,17925522,18049284,18611425,18672252,18833843,19049927,19072538,19114419,19155410,19239309,19261763,19360748,19363425,19545669,19630659,19752108,20220239,20287967,20307503,20403399,20586642,20650010,20654320,20660547,20702927,20875322,21124535,21361298,21450984,21494540,21619586,21686979,22057523,22168679,22311938,22333710,22440890,22621298,22965863,22986492,23236110,23633210,23730572,23807987,23822624,24082967,24132357,24300386,24491847,24780012,24785184,24892127,25252703,25349442,25388159,25669319,25758147,25793448,26010759,26340328,26587750,26800452,26905490,26929068,27056114,27350444,27517427,27564405,27610946,27651218,27831143,27883332,27931826,27963623,27977219,28339283,28359852,28400764,28524999,28982810,29017629,29022357,29365343,29380103,29402032,29524647,29549039,29575610,29632869,29964722,30368834,30516140,30680003,31394138,31872599,31905300,31996535,32238338,32286588,32316140,32509754,32542607,32639327,33009143,33077286,33804719,33937154,34011410,34032320,34218866,34460759,34468418,34474643,34550425,34779372,35277225,35327468,35490732,35589143,35694147,35750579,36075290,36507688,36619368,36708935,36753299,36908882,36997043,37277279,37320563,37516226,37629040,37982500,38124147,38131667,38286360,38395842,38779368,39090099,39203783,39310610,39346643,39501740,39655226,39751187,40155458,40357583,40449548,40484690,40572520,40804007,40813692,40838784,40928965,41071149,41165327,41196789,41268914,41460510,41489859,41950490,42125138,42332670,42450983,42457586,43072155,43290348,43440386,43523267,43626789,43819624,44050722,44109218,44140223,44224544,44588243,45048999,45154848,45165335,45391283,45488663,45579000,45644085,45792467,45925658,45943632,46201785,46455299,46627610,47172732,47194847,47269244,47402039,47402088,47693363,47795027,48020908,48091055,48160019,48416204,48581628,48617600,48687024,48894225,49023939,49114758,49249490,49281904,49297077,49357750,49385186,49393043,49694663,49718919,49720466,49752612,49803098,49937927,50006066,50086274,50190707,50340588,50799204,50945183,51091874,51103047,51276375,51413135,51643463,51686586,52153840,52558898,52625618,52800719,53065535,53315090,53327349,53351906,53620419,53793698,53859779,54132887,54198402,54301055,54302439,54473810,54513719,54529347,54694800,54772902,54901058,55002125,55119383,55442142,55469663,55551503,55953132,56032883,56209490,56260274,56351219,56787410,56794024,57011079,57132047,57142028,57207986,57364940,57458447,57653690,57709266,58315322,58339528,58341120,58387079,58396055,58469950,58512083,58673070,58807610,59099388,59102687,59210735,59229300,59244519,59453927,59654723,59674007,59910339,60591479,60729644,61349327,61456359,61531650,61695762,61813763,61855528,62117068,62230528,62499119,62554179,62584608,62886167,63027167,63084626,63177920,63222803,63653279,63678642,63697490,63893277,63978108,64766402,64844690,64861538,65130119,65132327,65161266,65268105,65368572,65383239,65417810,65462039,65631969,65633760,65676335,65715866,65955827,66002550,66086258,66540047,66571703,66676647,66804578,67108844,67123763,67164599,67318223,67421210,67451388,67707587,68050905,68144892,68151239,68278610,68436143,68483807,68488103,68717807,68777903,68837928,68871887,69184428,69220274,69587469,69619312,70009344,70075266,70112786,70154138,70163940,70228403,70272407,70282408,70402720,70407684,70465055,70561490,70569132,70734047,71052882,71075160,71282243,71309843,71438632,71551820,71701010,71915519,72587632,72656063,72712499,72927974,73181399,73513185,73628735,73741607,73793759,73808012,73837980,74066547,74841536,75084140,75100647,75201935,75594335,75626162,75813504,75924039,76063425,76302119,76314599,76436988,76848140,76969823,77157503,77442669,77700125,77709746,77813628,78118607,78123359,78321726,78373479,78414064,78501372,78760512,78811602,79067709,79183047,79203060,79213727,79359290,79372178,79456307,79498535,79959555,80190147,80368461,80371820,80514719,80614149,80721148,80905452,80907359,81130252,81134320,81266152,81391539,81552863,81617210,81661086,81934332,82061224,82131068,82188147,82217999,82526924,82693583,82842225,82865903,82883507,82901164,82981299,82997858,83145959,83528500,83588690,83667863,83891308,84136055,84196728,84304185,84432410,84471299,84483264,84510338,84558066,84673788,84903935,85290192,85346018,85535788,85862184,86041212,86119347,86194103,86313639,86623538,86670227,86859203,87102568,87198935,87611927,87967283,88110983,88215822,88244679,88354482,88365040,88555187,88605576,88726079,88931507,89011047,89101535,89468327,89808743,89860055,89924464,90038810,90100968,90105842,90242322,90318290,90394586,90567527,90682202,90713202,90757586,90809747,91254599,91276110,91424421,91427564,92041959,92084937,92206706,92217768,92253986,92318877,92414618,92557905,92659340,92765327,92775074,92850263,92869343,92892904,92977779,93015059,93025388,93173327,93240150,93498563,93553852,93913079,94018007,94128225,94222610,94408940,94449746,94577999,94721319,95043672,95057210,95106098,95177138,95231148,95316794,95398242,95491703,95495848,95503055,95891090,95951466,95969225,96029128,96168890,96248882,96376658,96410867,96446184,96594957,96667059,97361184,97570226,97643066,97829447,97834010,97912643,97940652,97990389,98108735,98197523,98388410,98400599,98687468,98728432,98788442,99013864,99410670,99447959,99456160,99542092,99681273,99959135,...,121322869819876472527137599045987889538456390795614412627395034524444131536776884849398532747194253001604869959559144478116910929130053585471426106423263786771174389125917046203769012250688195781678308978189859228889230683861862895776961085259311034082341776463040987121236349674940336549510656424561485461315010261293345165610039704420573509780553477306728024406820938614903775072099122018175432327656197484247891562411697736745504898712780673524956242065918892078983847163135045815514203032057699207498558388290898199145288085336528976240309418279829559832228925427696066241245034531667441090694566690753673611144453719642742494965953359436744804521148110968739312951622003658500659789819034767084712773635441693166809190606886666198794348684639338760005927833993398382455787141371357244372370501350713139692038510493367448230703873326277276273378857919027058521810422885118904822447686474784069609424587816900691179732550569597500229769252252754118643136987087711496527825854642960959162109495458356073719627400230413318243005513612901376381269904731516169349568289938209667614198847096139453669733280129465705300064093063980787946151781896162797013493484344380738280574046788747485871829684214461802827521189134633703730069349934117343990290898868533795858034229841106398009582167673181550755825208815870304091908368602244183063712728477967795881748409824677326221146278942654162090845100050065803394627150831284838481768608793355503045445086344610023556144696051160978772930973220304301116520485910733774432370631762341590940377490862143319835233482702190576186069762462148564428907199378277050636751186891649688976459786570567230340080553068316209951301082852564199817157503467521715524438191772519204172041946407422225766487036005651209912547239271007681400690006122628626631894299304390984282824242210497778695861014506254823571010864243116711127583655387625600813011993462404282855319834604796270348616978945732234611958558534276752077637103284521294436681754058139441885371674883587905300494956587419969002989294274244984982764623984837748482998287930121283338124264164163378479029128209201348821945747102901355665565542395816689332284780045174511871596170462583920277065142654876126167742136928266287439352649401400567606922773083123510181235457354854177063502564769884801897712725419926693447997226724206895109583971929111844739262227521324786530430825460391246900255458973468145655640847729633782122739830188}
15218   701378945790909151229991694676840998622958595469913704254911164: {288781,470797,516766,698878,880846,1195981,1304878,1466737,1580696,1778283,1916557,2029966,2309336,2364577,2391646,2488372,2507835,2598003,2675024,3009402,3214132,3293326,3723755,3874215,4050637,4132496,4191406,4468506,4649058,4907278,4927597,5023492,5189281,5239515,5319650,5450317,5515059,5588816,5883937,5976766,6229537,6287418,6383580,6465796,6487981,6809152,6825652,6912815,6982078,7173997,7599500,7660296,7903492,8041486,8189027,8262196,8276206,8295378,8421015,8519907,8617833,8744878,8841176,8982416,9119400,9622177,9727360,9875450,9946323,10028446,10099355,10105218,10259325,10319086,10377166,10699981,10943280,10946977,11072878,11111281,11357197,11535406,11672832,11684077,11698610,11833396,11850540,11928481,12119226,12311190,12399886,12577057,12640576,12650771,12802078,12833015,13131936,13260766,13381297,13489726,13661278,13780717,13861335,14038332,14118046,14178337,14220648,14427650,14495137,14687566,14773428,14785424,14801278,14963907,15125281,15202187,15375796,15399618,15521979,15728452,15998229,16047886,16123035,16499278,16575015,16633602,16712300,16761176,16893406,17160663,17174446,17197904,17313180,17680016,17814175,17930235,18055537,18072530,18193688,18467392,18769611,18856323,18889396,19019278,19125584,19186126,19347642,19574878,19704481,19852078,19890018,19891803,20054760,20074381,20186535,20442481,20467899,20635396,20775816,20844796,20954797,21067006,21173281,21377010,21391744,21513459,21516282,21532304,21687036,21717410,21764888,22040737,22112557,22219486,22344775,22561605,22569267,22721092,22802144,22983886,23047787,23310526,23340315,23372793,23463457,23760052,23799406,23853646,23884657,23900696,24065712,24164017,24200935,24223842,24242439,24485499,24690135,24896336,25063981,25485892,25652412,25726778,25817900,25883917,26060892,26174212,26336144,26424781,26813730,26868175,26888283,27073926,27204532,27448856,27547396,27557566,28008378,28601312,28608807,28669726,28733115,28915972,28933486,29041122,29059981,29188717,29459806,29628162,29663215,29778280,29828077,30089278,30523057,30648481,30648656,30879963,30975015,30981480,31147297,31289326,31312983,31808446,31944227,32009137,32041947,32176476,32241810,32429379,32655796,32925410,32976817,33040016,33046912,33304846,33467907,33500565,33513037,33572257,33661335,33799256,33867277,33931947,34073566,34101997,34188055,34344196,34391264,34451917,34479738,34681012,34741537,34854165,34889566,35449815,35500955,35595858,35733936,35752078,35882017,35905424,36257278,36450579,36752540,37170018,37177776,37212577,37646881,37754737,37813136,38024163,38033332,38145175,38183281,38289697,38342171,38690172,38696476,38908126,38974381,39353806,39366196,39510492,39595597,39881625,39995278,40105357,40142926,40200678,40358235,40393602,40395175,40584171,40830046,40976878,41004781,41025666,41152417,41250481,41348257,41416419,41476827,41708878,41824998,41897739,42072397,42226459,42539778,42540400,42546157,42601146,42775966,42826957,43048784,43121666,43162078,43474215,43499086,44027086,44058481,44103048,44159335,44192077,44280781,44363415,44369197,44632717,44947083,45023137,45077278,45280177,45553251,45576781,45634610,45774210,45788878,45994381,46372496,46485997,46687777,47036300,47060686,47091207,47125357,47201278,47320976,47321377,47341726,47478125,47592196,47857950,47898637,48234967,48274477,48357507,48429882,48474210,48606577,48643117,48720503,48764631,48788557,48825824,48968737,49147117,49377175,49615929,49694771,49774381,49944481,50074606,50120446,50345377,50349406,50561935,50715650,50760526,50831917,50832196,50905731,51017115,51047087,51048480,51194456,51328299,51394381,51485857,51636877,51696781,51702627,51705824,51714766,51991981,52120132,52136881,52169058,52572046,52780237,52796686,52841566,52991202,53048077,53153197,53179297,53231281,53236098,53359981,53512846,53537137,53686177,53735281,53735806,54047278,54112935,54123587,54402286,54418256,54451712,54547981,54699937,54721357,54761532,54774530,54844606,54869281,54910897,54929052,55280680,55319812,55363323,55373278,55425697,55519117,55592557,55771117,55942477,55959217,56041837,56122657,56249278,56274339,56383981,56427937,56443560,56624497,56730481,56815246,56819437,56831857,56916781,56952097,56973750,57031981,57054157,57288481,57307057,57404077,57421726,57429540,57461281,57522337,57551278,57558157,57571981,57592177,57593763,57666481,57694381,57720464,57735277,57830317,57874381,57879457,57891697,57893281,58068046,58169052,58196878,58734296,58965915,59086555,59252610,59264878,59349886,59482839,59604526,60026135,60065332,60206464,60233187,60520255,60674322,60727035,60772000,60858780,60916898,61220538,61258176,61370878,61497107,61602380,61870366,61903371,62190765,62508803,62738926,62896976,62925735,63026878,63109006,63187707,63202784,63499005,63514178,63641278,63686379,64738126,64775504,64916032,64935522,65160579,65181646,65192300,65365252,65486344,65729436,66076083,66163827,66262078,66291892,66336816,66540286,66857278,67120784,67133806,67370206,67566766,67732272,67841278,67958686,68137396,68154046,68368500,68612306,68888487,68915448,69587278,69941415,70238446,70352878,70759098,70903866,70992530,71103132,71107883,71187646,71427535,71493892,71706175,71803571,71939806,72031362,72164206,72264536,72403252,72425278,72611278,72624306,72705796,72872442,72924410,72926400,73030536,73645486,73672137,73874235,73922856,74036625,74077779,74521966,74580699,74604176,74628918,74704647,75009099,75129411,75281326,75461086,75510882,75912055,76014772,76198806,76214747,76318366,76637811,76945688,77060926,77319410,77412046,77529879,77646335,77788160,77900926,78230760,78683906,78766126,78799184,78838347,78869278,78938427,78972286,78972400,78992692,79143646,79428479,79880452,79972635,80027859,80163406,80690547,80902078,81281291,81297603,81710715,81941812,81995566,82042200,82159353,82218103,82261016,82290766,82351587,82450082,82454206,82649806,82974526,83163213,83362078,83405572,83446144,83558867,83886055,83929698,84002878,84025487,84225646,84314235,84390411,84904856,85171486,85181115,85191036,85304144,85514686,85639006,85713042,85732078,85811979,86047410,86152363,86287486,86387378,86440846,86480535,86563899,86637131,86654878,86881688,87024140,87110878,87158096,87177652,87184058,87262078,87472983,87473086,87509292,87511680,87704925,87713278,87853010,88003400,88009605,88211415,88221859,88516366,88649082,88693246,88843950,88898878,88902196,89298290,89439775,89771278,89935184,90001486,90544126,90734540,90859856,91094466,91137166,91556446,91612078,91783904,91944526,91972126,91981043,92245904,92253707,92260015,92297475,92543643,92783292,92928046,93116878,93175602,93331726,93345792,93433688,93551920,93824171,93855175,93876912,94092176,94233406,94521166,94625326,94626939,94703278,94737176,94766880,95517963,95546235,95967162,95981278,96060175,96232078,96356878,96530926,96753587,97048366,97149603,97267035,97292307,97703278,97741899,98017580,98052858,98126715,98251966,98346526,98450640,98573799,98755396,98885278,99003825,99129387,99186046,99529726,99802078,99847246,99869806,...,181984304729814708790706398568981834307684586193421618941092551786666197305165327274097799120791379502407304939338716717175366393695080378207139159634895680156761583688875569305653518376032293672517463467284788843333846025792794343665441627888966551123512664694561480681854524512410504824265984636842228191972515391940017748415059556630860264670830215960092036610231407922355662608148683027263148491484296226371837343617546605118257348069171010287434363098878338118475770744702568723271304548086548811247837582436347298717932128004793464360464127419744339748343388141544099361867551797501161636041850036130510416716680579464113742448930039155117206781722166453108969427433005487750989684728552150627069160453162539750213785910329999298191523026959008140008891750990097573683680712057035866558555752026069709538057765740051172346055809989415914410068286878540587782715634327678357233671529712176104414136881725351036769598825854396250344653878379131177964705480631567244791738781964441438743164243187534110579441100345619977364508270419352064571904857097274254024352434907314501421298270644209180504599920194198557950096139595971181919227672844244195520240226516571107420861070183121228807744526321692704241281783701950555595104024901176015985436348302800693787051344761659597014373251509772326133737813223805456137862552903366274595569092716951693822622614737015989331719418413981243136267650075098705091940726246927257722652913190033254568167629516915035334217044076741468159396459830456451674780728866100661648555947643512386410566236293214979752850224053285864279104643693222846643360799067415575955126780337474533464689679855850845510120829602474314926951624278846299725736255201282573286657287658778806258062919611133338649730554008476814868820858906511522101035009183942939947841448956586476424236363315746668043791521759382235356516296364675066691375483081438401219517990193606424282979751907194405522925468418598351917937837801415128116455654926781941655022631087209162828057512325381857950742434881129953504483941411367477474146935977256622724497431895181925007186396246245067718543692313802023232918620654352033498348313593725033998427170067761767807394255693875880415597713982314189251613205392399431159028974102100851410384159624685265271853186032281265595253847154827202846569088129890040171995840086310342664375957893667767108893341281987179795646238190586870350383188460202218483461271594450673184109745282}
15219   704531358954202376271905332730976932672020457524165193787460819: {30434,775149,1048317,1321269,1383109,1957317,1975870,2020669,2340646,2371044,2567617,2886670,3044949,3110465,3343780,3464004,3587469,3615934,3732558,3751189,4012536,4017665,4345198,4514103,4821198,4890214,4939989,5165620,5958008,6198744,6279365,6287109,6348166,6702759,6712654,6973587,6986020,7353412,7360917,7480289,7535238,7736029,7838237,7859614,7979475,8026517,8082245,8383224,8511440,8532065,8965149,9431127,9499375,9575370,9698694,9831701,9879365,10213728,10238478,10327745,10473117,10567217,11051470,11060504,11228020,11359876,11399250,11490444,11821997,11855238,12062229,12159200,12229438,12393294,12414309,12443067,12750401,12937246,13117317,13186069,13261764,13473624,13649249,13679100,14591040,14666029,14791745,14813175,15042669,15048166,15157827,15470014,15478629,15563776,15565749,15800720,15919477,16158968,16376069,16414920,16609317,16734886,16783877,16949998,17303109,17509248,17546101,17547915,17750094,17773877,17775810,18012161,18178839,18263117,18466785,18481780,18599829,18717776,18840766,18960864,19044277,19203117,19219745,19660565,19697904,19891149,19951876,20234589,20491917,20532824,20540909,20695972,20890375,20913109,20951470,21057498,21177069,21316366,21330972,21497380,21641475,21725957,21784294,22031349,22100020,22160142,22178136,22201917,22314886,22696621,22742110,22880884,23044126,23063694,23084240,23099427,23265569,23592678,23611745,23906980,24017749,24071829,24086149,24748917,24950403,25026148,25068450,25141764,25340109,25445297,25761669,25794245,25796856,25889141,25928417,25969770,26055995,26368654,26520024,26522404,26739680,26817574,26915380,27108795,27206110,27290532,27701088,28334094,28401365,28502680,28528917,28684612,28688376,28718638,28779189,28910014,28916048,29021463,29157437,29362317,29574349,29700065,29778117,29835027,29875870,30082140,30092356,30924029,30953094,31120420,31163724,31253461,31267194,31398286,31406317,31417246,31550717,31600509,31857365,32065515,32087616,32272375,32274423,32298456,32323252,32530554,32576115,32631118,32647332,32717765,32920180,33086494,33329229,33941638,34005665,34081638,34128097,34203216,34311070,34434245,34475829,34747856,34751806,34965789,35087566,35640078,35699109,35751640,35780469,35851044,36098568,36144965,36335763,36362549,36371149,37222850,37344504,37667617,37667686,38099854,38129249,38145076,38228838,38310820,38478618,38523526,38590167,38721496,38726850,38975681,39091338,39200717,39261318,39353501,39504216,39776101,40220595,40440478,40575934,40610889,40615006,40806798,40819745,41173284,41296277,41300020,41308640,41321094,41336349,41405854,41750644,42012567,42249070,42266477,42722596,42901968,42930245,42989080,43004589,43239172,43351265,43373958,43400229,43435717,43561683,43976477,44115046,44189709,44204501,44337358,44442243,44623876,44667420,44795149,44881780,45133917,45242596,45378637,45931726,45940675,45972984,46472220,46802549,46933989,47239589,47266420,47461144,47541665,47615974,47645248,47712669,48165934,48264714,48362715,48370595,48600772,48983694,49207745,49388115,49407329,49560024,49570368,49784254,49957269,50392037,50505406,50698884,50776318,50962637,51110349,51338638,51392509,51516294,51586896,51719607,51924917,52021518,52334349,52566581,52680656,53175500,53393787,53600904,53628117,53759329,53810980,53858136,54112228,54385917,54700888,54901717,55034854,55128810,55221892,55302436,55662286,55755027,55766664,55863652,55927246,55954438,56678566,56719704,56801528,57049998,57300551,57965620,58035258,58044714,58362189,58730686,58760206,58795375,58804064,59030709,59049294,59098078,59151220,59265738,59292209,59295157,59490245,59805569,59929444,59992917,60214389,60301017,60590403,60737668,60789409,61032280,61245069,61360006,61465317,61538499,61676917,61824989,62433857,62563317,62737497,62788276,63092189,63231469,63540245,63745198,63795917,63809667,63810600,63901719,63993070,64163949,64476676,64573176,64632280,64682499,64743117,65019508,65085214,65141089,65150165,65248629,65278654,66018286,66040629,66154572,66350117,66758317,66792269,67327477,67609438,67615917,67874308,68022820,68064640,68437732,68451915,68661315,68683317,68921518,68936836,68949286,69100850,69149765,69558744,70554450,70591029,70654936,70801917,70981464,71012589,71118209,71178286,71388294,71501158,71786925,71978389,72150580,72644823,72711315,72894701,73015376,73052629,73155877,73238736,73417870,73506598,73817764,73832069,73994086,74291749,74554558,74641126,74782037,75032452,75081665,75111909,75180669,75258080,75340289,75524109,75724517,75965000,76003157,76021477,76073475,76140789,76248294,76263334,76572720,76791684,76869421,77002975,77558736,77572149,78153149,78180198,78253587,78407566,78539749,78621220,78675649,78693286,78728717,78858069,79003480,79195029,79262349,79310452,79486517,79486803,79502374,79781389,79854147,80269269,80310916,80324017,80603709,80715166,80899096,80969380,81070917,81145040,81490375,81603429,81608014,81627384,81677568,81706565,81754477,81857930,82142298,82161795,82218629,82266909,82299701,82330654,82393578,82537828,82864865,82895029,82921020,82979718,83059917,83900980,83978197,84250276,84275269,84373917,84665340,84901966,84915172,85171745,85222869,85460625,86132589,86144310,86326917,86580696,86880772,87046534,87102069,87253578,87295317,87639248,88101444,88218436,88280446,88304429,88449088,88532989,88878915,88897317,89024829,89115937,89176486,89367365,89406789,90097998,90152417,90309696,90330670,90504065,90586829,90782566,90882245,90977326,91011483,91158000,91288170,91375347,91584934,91625501,91830807,91851316,91887264,91946869,92056317,92403570,92805549,92910598,93255220,93511141,93995701,94108389,94345464,94389694,94407797,94538488,94540317,94663509,94804078,94804176,95018465,95029589,95271267,95386726,95461917,95590054,96041816,96182110,96320038,96832408,97107189,97163256,97235200,97374048,97403283,97772469,97788450,97958369,98047878,98229516,98476981,98498980,98563808,98594154,98651077,98715500,98740865,98770372,98786086,99029117,99389326,99393117,99437838,99440932,99505224,99606196,99810429,99829717,99850565,99875854,...,272976457094722063186059597853472751461526879290132428411638827679999295957747990911146698681187069253610957409008075075763049590542620567310708739452343520235142375533313353958480277564048440508776195200927183265000769038689191515498162441833449826685268997041842221022781786768615757236398976955263342287958773087910026622622589334946290397006245323940138054915347111883533493912223024540894722737226444339557756015426319907677386022103756515431151544648317507177713656117053853084906956822129823216871756373654520948076898192007190196540696191129616509622515082212316149042801327696251742454062775054195765625075020869196170613673395058732675810172583249679663454141149508231626484527092828225940603740679743809625320678865494998947287284540438512210013337626485146360525521068085553799837833628039104564307086648610076758519083714984123871615102430317810881674073451491517535850507294568264156621205322588026555154398238781594375516980817568696766947058220947350867187608172946662158114746364781301165869161650518429966046762405629028096857857285645911381036528652360971752131947405966313770756899880291297836925144209393956772878841509266366293280360339774856661131291605274681843211616789482539056361922675552925833392656037351764023978154522454201040680577017142489395521559877264658489200606719835708184206793829355049411893353639075427540733933922105523983997579127620971864704401475112648057637911089370390886583979369785049881852251444275372553001325566115112202239094689745684677512171093299150992472833921465268579615849354439822469629275336079928796418656965539834269965041198601123363932690170506211800197034519783776268265181244403711472390427436418269449588604382801923859929985931488168209387094379416700007974595831012715222303231288359767283151552513775914409921762173434879714636354544973620002065687282639073353034774444547012600037063224622157601829276985290409636424469627860791608284388202627897527876906756702122692174683482390172912482533946630813744242086268488072786926113652321694930256725912117051216211220403965884934086746147842772887510779594369367601577815538470703034849377930981528050247522470390587550997640755101642651711091383540813820623396570973471283877419808088599146738543461153151277115576239437027897907779779048421898392880770732240804269853632194835060257993760129465513996563936840501650663340011922980769693469357285880305525574782690303327725191907391676009776164617923}
15220   707697827870045997287179722806913424350008972523831218688329383: {45651,577562,713131,894499,941594,1033532,1075579,1256371,1346659,1397756,1707091,1761692,2066371,2391962,2513851,2609756,2933474,2963805,3161392,3510969,3556566,3757219,3833114,3933691,4021819,4059932,4179725,4197859,4330005,4618672,4729154,4783292,4976744,5015670,5196006,5213257,5248051,5350048,5423901,5598837,5769259,6018804,6428264,6457025,6517797,6586652,6632179,6803899,6889651,7060939,7231797,7335321,7402651,7447510,7658179,7748430,8101274,8251891,8264992,8382812,8589571,8673811,8732525,8757979,8937012,9191765,9298116,9522249,9595699,9677941,9814556,9845611,9855194,9928771,10046984,10068981,10177819,10378562,10479030,10639300,10900634,11030118,11167531,11177632,11302857,11495131,11658499,11767874,11789421,11953532,12459074,12574836,12767160,12931592,12975962,13618304,13651304,13825630,13835779,13915411,13964156,14035025,14139097,14199845,14347994,14363055,14391691,14548041,15022699,15199000,15320592,15357717,15806984,16082972,16348291,16378054,16524392,16552412,16577205,16590756,16657171,16842030,17039814,17098875,17118331,17235666,17489756,17682352,17782857,17957059,17964832,17966221,18184291,18238800,18335419,18344157,18589941,18862099,19244354,19405869,19454720,19750900,19830859,19892646,20056892,20198710,20210436,20213897,20518650,20567779,20638172,20714299,20754332,20860531,21399962,21442579,21804019,21876091,21886560,21893954,22145756,22222562,22572249,22592851,22714394,22948531,23070812,23102225,23205021,23231779,23345664,23368154,23372971,23397220,23666792,23701080,23856962,24238452,24422731,24622380,24799772,24939845,25102329,25154114,25182259,25281152,25301542,25387891,25424997,25604156,25666030,25869965,26203939,26263872,26473651,26521532,26625141,26663715,26762594,26871725,26979452,27209419,27322556,27540979,27561434,27625025,27673099,27722670,28076664,28236092,28261149,28356674,28441296,28601105,28784491,28855300,28990274,29042971,29364451,29375132,29546856,29570848,29602556,29684131,29811499,29883725,29927814,30250562,30404374,30751592,30757579,30799236,30882499,31043958,31282685,31427205,31456904,31564411,31586247,31974549,31996458,32095772,32115859,32246070,32298379,32601139,32676441,32902099,32998556,33150030,33153005,33240213,33267204,33424600,33472329,33522352,33644225,33735211,33786812,33881309,34087939,34113165,34204939,34321326,34348892,34395808,34566189,34595541,34626360,34958419,35187811,35360032,35389017,35628350,35699731,35855765,35860470,36093859,36111074,36145060,36261691,36373219,36387376,36871531,36934784,37539222,37602675,37615445,37712646,37743019,37778792,38038556,38251168,38372252,38543299,38695284,38900525,38911219,38954655,39149756,39408962,39533731,39552981,39704156,39780036,39783606,40095259,40109520,40148762,40226361,40246891,40297291,40373070,40404065,40809165,40884962,40935798,41150225,41270792,41339059,41528501,41551632,41689592,41909594,42015931,42134012,42346562,42396379,42501141,42631819,42754020,42783488,43026918,43032564,43064608,43077957,43365021,43373131,43374072,43434820,43529776,43555579,43782019,44081474,44225114,44438972,44494531,44689550,44813805,44930491,45123210,45138534,45231379,45442184,45604288,45780811,45822571,45967772,46095574,46399651,46429641,46561939,46621052,46680630,46745586,46763179,46843171,46900791,46926914,47097429,47125869,47199571,47433931,47520104,47598812,47681345,47707292,47742379,47769314,47801392,47863277,47888525,48121459,48131424,48328034,48401870,48447684,48484878,48795831,48946677,48970998,49380270,49391539,49565779,49629741,49634971,49701337,49792672,49903997,49942771,49976611,50127962,50442811,50508259,50670619,50735059,50912457,50926651,50958331,50971784,51122457,51146899,51302059,51304824,51363619,51453556,51466605,51516259,51546571,51625025,51635800,51767834,51875251,52121784,52127709,52188305,52348424,52478539,52562131,52631349,52672288,52727371,52849562,52943659,52970371,53102851,53336779,53362411,53403245,53460117,53464219,53589859,53627460,53736350,53776566,53835739,53909669,54048965,54144619,54147852,54409064,54418939,54574171,54639619,54661291,54789811,54810979,54897712,54915739,54977731,55079611,55094792,55115132,55119859,55258459,55355299,55469131,55779845,55834275,55982779,56016756,56081491,56102225,56113819,56161771,56332051,56347099,56421259,56501529,56553245,56619331,56726179,56790619,57004961,57118219,57149781,57202624,57217614,57241339,57308371,57339452,57343257,57345091,57466230,57472531,57511411,57518971,57541219,57655051,57661099,57678811,57701419,57717927,57752899,57785289,57805171,57831944,57866972,57903451,57905539,57908131,57911011,58082244,58090275,58119962,58377434,58637007,58891977,58919612,59083025,59256324,59326430,59556560,59656154,60178556,60660717,60750965,60863901,60922509,61046114,61210197,61296962,61297312,61759926,61823069,61950030,61962960,61981641,62108781,62294594,62578652,62625966,63373605,63616892,63888454,64018274,64083894,64352952,64483620,64858758,65060937,65311592,65850820,65953634,66080032,66093824,66172569,66469375,66506037,66609692,66935814,67001130,67026074,67144514,67263725,67322670,67598512,67640285,67734554,67863894,67875797,68147132,68203994,68376110,68688392,68782528,68897589,68903834,68959476,69027365,69128045,69362024,69483074,69708330,69779132,69829565,70786709,70899630,71001910,71191716,71423961,71467872,71504156,71764034,71810848,72248901,72397071,72457025,72514556,72901158,73475541,73505080,73939025,74340036,74355552,74425154,74676381,74911805,75293762,75509474,75626272,75758109,75922085,76048326,76066664,76164477,76290350,76366562,76579394,76684342,77007957,77274441,77380344,77392952,77816252,77948762,78032277,78485345,78707612,78732392,79020984,79191194,79763250,79990556,80210714,80285852,80401356,80595845,80716470,80787204,80790350,81168342,81274385,81660092,81953756,82009562,82051332,82304834,82500962,82552281,82693215,82696514,82721177,82832838,82953654,83417756,83493429,83649996,83795478,83890869,83931657,84036589,84144794,84452918,84728357,84842885,85017849,85028525,85079556,85080800,85092314,85202292,85547165,85551932,85574997,85653914,86097568,86171045,86243332,86324156,86948430,86998172,87052887,87067071,87888317,88054172,88096029,88116962,88140309,88206096,88318670,88384154,88561562,88573941,88647117,88726830,88738394,88898607,89265434,89894166,90046274,90154556,90188225,90560354,91106502,91153562,91269220,91548420,91577756,91890821,91988762,92040009,92272205,92744992,92971994,93375554,93790565,94072600,94121372,94182414,94250714,94402556,94641952,94642754,94683452,94956250,95184392,95617797,95715900,95797274,95989605,96469934,96548954,96715014,96859764,96948420,97166849,97213154,97286234,97441006,97529262,97577114,97627821,97651648,97917981,97937474,98276525,98294234,98754350,99027429,99138065,99231858,99389542,99548762,99888962,99998549,...,363968609459629417581412797137963668615369172386843237882185103573332394610330654548195598241582759004814609878677433434350732787390160756414278319269791360313523167377751138611307036752064587345034926934569577686667692051585588687330883255777933102247025329389122961363709049024821009648531969273684456383945030783880035496830119113261720529341660431920184073220462815844711325216297366054526296982968592452743674687235093210236514696138342020574868726197756676236951541489405137446542609096173097622495675164872694597435864256009586928720928254839488679496686776283088198723735103595002323272083700072261020833433361158928227484897860078310234413563444332906217938854866010975501979369457104301254138320906325079500427571820659998596383046053918016280017783501980195147367361424114071733117111504052139419076115531480102344692111619978831828820136573757081175565431268655356714467343059424352208828273763450702073539197651708792500689307756758262355929410961263134489583477563928882877486328486375068221158882200691239954729016540838704129143809714194548508048704869814629002842596541288418361009199840388397115900192279191942363838455345688488391040480453033142214841722140366242457615489052643385408482563567403901111190208049802352031970872696605601387574102689523319194028746503019544652267475626447610912275725105806732549191138185433903387645245229474031978663438836827962486272535300150197410183881452493854515445305826380066509136335259033830070668434088153482936318792919660912903349561457732201323297111895287024772821132472586429959505700448106571728558209287386445693286721598134831151910253560674949066929379359711701691020241659204948629853903248557692599451472510402565146573314575317557612516125839222266677299461108016953629737641717813023044202070018367885879895682897913172952848472726631493336087583043518764470713032592729350133382750966162876802439035980387212848565959503814388811045850936837196703835875675602830256232911309853563883310045262174418325656115024650763715901484869762259907008967882822734954948293871954513245448994863790363850014372792492490135437087384627604046465837241308704066996696627187450067996854340135523535614788511387751760831195427964628378503226410784798862318057948204201702820768319249370530543706372064562531190507694309654405693138176259780080343991680172620685328751915787335534217786682563974359591292476381173740700766376920404436966922543188901346368219490564}
15221   710878414708571352804081403273948919704560956202309746182983527: {60868,866343,1291915,1412391,1550298,1747195,1839079,2096634,2202115,2642538,2766218,2841091,3262195,3587943,3842311,3914634,3951740,4041338,4354651,4389043,4400211,4681292,4742088,5074915,5135234,5334849,5624731,5749671,5773340,5979115,6089898,6175411,6220930,6687560,6928008,7093731,7174938,7231868,7465116,7502378,7523505,7794009,7996171,8025072,8035330,8233315,8360323,8690396,8791111,9028206,9263371,9642396,9780428,9879978,10164979,10331240,10478515,11082691,11171265,11315143,11619283,11622645,11810419,11823559,11916016,11944891,12151911,12155011,12268195,12397488,12558730,12574218,12696332,12902011,13148839,13299125,13405518,13425308,13629739,13831111,13947174,13971451,13972040,14458843,14706824,14721834,14782791,14803459,14941915,14960578,15070476,15255043,15472058,15567843,15676474,15718545,15719228,15958950,16053034,16164490,16350951,16545177,16766448,17022880,17064130,17116231,17241043,17455195,17651811,17930298,18106099,18688611,18777571,18862254,18890803,18998750,19150740,19254379,19397388,19463943,19663402,19758730,19835491,20103715,20411719,20427456,20476956,20543623,20655490,20690515,20708443,20738445,20946234,21005491,21070951,21134434,21237211,21335731,21521991,21862195,22102940,22121008,22456040,22715011,22719752,22798500,22980888,23268643,23316871,23643994,23710476,24124458,24318400,24458876,24567081,24684979,24688625,24786588,24828618,24870091,24886134,24911443,25071115,25263045,25448659,25500802,25559721,25676131,25797715,25853499,25874492,25942915,25996531,26234634,26323243,26372138,26441851,26523528,26686531,26766739,26907643,26947248,27298498,27358200,27524791,27674599,27682195,28838515,28866531,28978819,28989811,29182080,29246525,29332058,29583490,29596039,29626350,29671891,29838969,30085338,30096332,30298065,30315654,30579751,30777975,30940028,30957258,30999715,31127552,31131498,31134139,31601440,31838954,31881091,32005195,32099943,32317936,32533171,32551243,32752138,32829840,32840931,33056443,33151915,33218634,33333843,33469772,33567571,33567754,33690331,33724315,33899996,34071591,34153195,34606218,35018496,35052231,35092202,35095830,35295115,35500188,35547754,35551620,35785443,36024322,36069125,36111943,36357678,36478393,36526234,36577699,36718915,36933570,36963560,37003195,37138951,37199658,37287211,37412551,37435552,37666411,37681532,37731171,37921728,37952313,38088554,38406234,38439490,38499045,38641051,38870311,39321130,39395808,39682819,39761911,39782298,39903752,40119715,40143891,40469178,40983834,41065648,41081818,41248195,41342151,41391944,41580091,41584005,41663659,41780750,41826218,41902940,42114996,42233515,42354138,42535011,42615043,42632732,42661944,42936115,42994760,43241671,43282950,43451914,43485411,43568588,44062698,44200040,44201539,44206171,44320284,44356272,44403834,44533159,44600311,44629772,44891721,45181325,45215251,45375843,45393242,45484220,45606561,45761768,45804871,46088252,46121671,46127388,46145539,46168480,46198854,46375171,46508683,46531138,46565937,47185356,47223490,47457211,47548195,47571943,47607931,47677363,47813960,47965315,47994687,48035498,48143658,48172298,48207943,48369105,48747211,48804691,48840931,48912139,48937195,49497834,49630195,49725045,49900806,49951291,50030311,50052296,50136900,50283528,50602951,50680218,50890594,51290371,51481989,51523338,51588490,51593712,51778282,51811531,51856834,51939540,52111990,52241683,52667515,52737308,52814731,53040048,53044808,53442525,53479360,53623651,53635148,53790705,53830760,54166611,54174439,54217590,54293525,54348499,54412220,54581064,55067059,55402176,55548715,56308833,56365171,56568969,56668188,56802730,57005360,57057834,57147643,57216739,57369224,57376752,57437276,57459715,57558378,57734071,57820028,57832096,58042926,58276315,58314874,58646599,58724634,58869991,59113443,59148698,59400130,59498515,59556234,59634115,59670054,59675409,59689843,59751740,59921191,59985091,60102343,60164280,60184712,60223143,60228571,60559605,60678643,60691771,61327443,61365811,61403697,61830439,61848058,61906188,62240840,62327448,62466151,62506922,62515771,62534388,62796572,62812634,62834492,62864391,63101434,63201018,63216199,63419059,63519843,63670171,63714730,63930091,64131030,64175232,64316945,64540377,64544750,64548846,64596912,64646504,64688371,65061108,65152230,65262236,65294664,65303443,65435530,65479411,65840360,66122211,66125251,66172988,66267763,66337671,66558331,66658458,67034325,67684815,67707801,67718833,67883276,68011330,68163276,68256194,68406432,68622140,68736043,68868490,68890843,68893915,68951658,69143361,69495712,69503612,69931578,70020945,70067239,70118379,70175132,70301863,70390371,71280156,71287171,71301319,71329159,71398218,71503280,71551531,71560938,71653971,71674315,71702088,71749831,71959591,72197136,72289930,72333715,72492051,72602805,72671526,72725098,72727317,72742298,72961891,73456497,73649515,74070405,74163331,74445700,74650183,74689008,75106471,75191943,75223195,75335234,75335372,76199708,76258498,76290152,76334851,76457676,76621640,76957236,77047052,77180334,77442992,77453700,77617639,77651751,77747443,77932483,77951362,78144091,78182676,78223315,78380971,78401434,78522636,78707002,78841723,78871111,79008432,79148323,79235011,79274343,79521115,79552202,79988971,80226043,80441190,80536171,80604525,80664849,80880956,81151868,81221778,81230012,81613596,81639490,82313525,82346568,82592554,82600040,82617280,82642188,82672698,82811708,82906651,83262115,83286343,83501288,84025134,84498140,84532954,85173043,85183915,85410931,85445192,85803936,85826421,85860490,85978160,86009178,86148283,86199345,86289031,86478344,86702530,86747916,86800458,86871434,87123366,87179943,87223915,87295219,87566151,87952954,87990919,88230092,88378771,88379418,88409002,88674716,88884486,88956343,88989645,89120851,89247752,89334840,89380195,89484231,89492611,89590298,89748499,89763560,89778931,90267834,90485192,90643195,90757274,91210231,91569171,91824379,91863452,91881350,91945443,91945968,91947559,92365723,92639889,92790043,92875651,92925045,92944440,93441891,93605098,93867978,93938611,93938949,94043371,94479178,94532840,94922288,95083330,95170459,95231948,95290496,95425338,95832681,96027411,96125841,96331868,96499531,96529428,96725430,96741190,96804523,96805843,96809671,97201544,97263283,97270315,97288137,97967388,98250931,98384515,98415490,98776230,98814658,98930451,99042691,99120048,99140736,99350119,99568508,99914538,99988195,...,545952914189444126372119195706945502923053758580264856823277655359998591915495981822293397362374138507221914818016150151526099181085241134621417478904687040470284751066626707916960555128096881017552390401854366530001538077378383030996324883666899653370537994083684442045563573537231514472797953910526684575917546175820053245245178669892580794012490647880276109830694223767066987824446049081789445474452888679115512030852639815354772044207513030862303089296635014355427312234107706169813913644259646433743512747309041896153796384014380393081392382259233019245030164424632298085602655392503484908125550108391531250150041738392341227346790117465351620345166499359326908282299016463252969054185656451881207481359487619250641357730989997894574569080877024420026675252970292721051042136171107599675667256078209128614173297220153517038167429968247743230204860635621763348146902983035071701014589136528313242410645176053110308796477563188751033961635137393533894116441894701734375216345893324316229492729562602331738323301036859932093524811258056193715714571291822762073057304721943504263894811932627541513799760582595673850288418787913545757683018532732586560720679549713322262583210549363686423233578965078112723845351105851666785312074703528047956309044908402081361154034284978791043119754529316978401213439671416368413587658710098823786707278150855081467867844211047967995158255241943729408802950225296115275822178740781773167958739570099763704502888550745106002651132230224404478189379491369355024342186598301984945667842930537159231698708879644939258550672159857592837313931079668539930082397202246727865380341012423600394069039567552536530362488807422944780854872836538899177208765603847719859971862976336418774188758833400015949191662025430444606462576719534566303105027551828819843524346869759429272709089947240004131374565278146706069548889094025200074126449244315203658553970580819272848939255721583216568776405255795055753813513404245384349366964780345824965067893261627488484172536976145573852227304643389860513451824234102432422440807931769868173492295685545775021559188738735203155631076941406069698755861963056100495044940781175101995281510203285303422182767081627641246793141946942567754839616177198293477086922306302554231152478874055795815559558096843796785761541464481608539707264389670120515987520258931027993127873681003301326680023845961539386938714571760611051149565380606655450383814783352019552329235846}
15222   714073181912696053169623508150167371393491318184906626543646724: {76085,91302,349577,440597,924821,1105877,1155124,1256537,1426262,1527221,1788998,1883188,1976921,2067064,2096537,2151158,2245877,2325447,2512742,2693318,2795512,2870921,3144951,3414182,3523384,3580937,3963807,4051721,4132742,4149327,4227737,4374197,4783924,4928921,4939675,5027702,5219512,5248757,5625497,5851615,5866948,5871951,5927610,5943221,6058517,6062007,6322784,6489737,6547097,6833417,7021938,7113132,7216675,7232921,7346777,7488917,7514438,7666228,7687577,7702851,7867382,8043638,8119864,8337557,8359450,8395718,8660010,8674997,8787221,9039835,9134847,9206921,9237344,9331395,9458308,9566584,9597017,9624821,9791477,9953488,10031340,10392012,10426514,10427657,10496102,10620437,10700096,10757897,10762407,10847802,10862995,11004821,11169077,11197674,11253567,11538518,11687321,11823221,12037608,12052995,12225535,12256757,12634421,12856528,12868471,12914050,13035594,13144457,13173304,13264358,13278197,13438421,13542309,13607798,13779302,13837721,14121878,14463594,14670642,14805302,14819967,14867477,14895020,15051017,15129557,15316358,15496860,15870415,16195721,16202548,16453721,16503782,16529984,16736597,16765624,16781635,16992917,17120777,17179142,17347622,17465050,17515958,17579417,17874024,17959637,17984921,18111221,18338057,18363221,18383530,18596232,18838095,18861327,19044498,19114421,19191398,19355882,19629112,19635977,19649035,19691222,19710388,19759637,19857542,19879783,20080217,20093968,20108277,20137962,20227721,20355638,20497397,20570777,20717321,20757124,20920761,20958060,20960921,21106697,21227957,21278600,21801268,21903317,22060236,22082751,22335062,22355264,22440867,22605714,22619957,22975577,22990262,23093717,23208087,23258777,23316998,23514711,23535748,23578842,23611157,23681417,23889151,23907064,23938425,24079551,24171221,24246735,24287321,24426377,24918148,25149672,25460117,25534320,25596195,25664921,25863184,25951924,26140277,26365397,26477657,26880137,26895447,27147017,27236608,27302608,27628675,27651260,27671558,27699317,27830822,27874997,27928312,28070050,28278194,28293381,28399690,28420697,28498125,28695988,28726110,28783382,28788917,28875221,29068937,29096082,29111897,29390357,29495103,29518421,29638095,29837321,30045398,30070037,30398000,30573595,30574421,30641184,30699797,30715434,30762377,30983235,31011977,31198421,31384217,31419351,31613968,31701651,32165944,32323721,32343115,32696582,32756108,32907317,33027221,33048784,33104824,33146837,33154410,33181512,33314342,33642137,33684060,33917321,33995657,34079628,34112921,34197750,34236662,34288277,34471332,34675637,34791221,34915783,34979512,35193497,35364704,35465991,35535497,35565714,35914118,35929664,35932442,36186687,36217951,36230357,36368582,36379157,36397721,36477600,36670838,36688314,36767321,36840857,37179882,37224821,37242927,37329201,37388297,37620415,37659317,37724198,37767221,38251203,38302421,38488708,38675035,38811738,38909440,38917721,38935157,39333977,39351951,39454517,39501800,39506057,39558207,39661718,39785292,39847817,40041547,40102037,40113784,40118921,40397420,40420872,40427794,40471637,40947747,40952921,41037300,41135558,41276344,41297237,41362421,41428598,41508664,41721062,41837215,42182297,42374995,42403721,42419477,42779657,42799924,42885158,42888437,42934937,43243097,43578377,43608038,43752182,43773120,43787908,43795759,43804757,43998087,44237321,44291512,44325977,44375235,44439525,44445124,44473097,45128007,45144498,45185702,45239477,45253721,45409877,45428788,45473481,45536921,45802997,45872537,45897062,45969557,46141624,46204450,46410042,46414207,46421657,46435887,46463558,46489397,46583897,46691328,46697247,46736308,46745942,46785077,46794440,46851737,47101915,47221337,47333584,47377817,47402160,47558921,47713924,47758431,47763977,47878421,47941721,48142937,48205397,48329717,48476904,48758537,48806921,48845462,48987221,49128207,49236617,49244760,49400921,49575221,49586777,49599544,49793417,49827951,49879690,49963637,49986197,50198071,50198921,50204658,50308228,50351631,50364518,50518037,50562304,50603084,50626517,50680457,50755637,50775782,50849994,50851721,50947157,51104777,51167321,51208312,51332060,51414617,51526421,51717257,51739930,51885557,51909327,52378675,52407878,52461077,52498421,52527744,52638303,52643745,52661623,52819721,52947302,53007797,53043064,53122457,53174921,53218421,53250282,53290915,53321631,53327430,53381897,53398937,53475221,53483657,53525188,53743450,53773877,53846921,53958904,54036483,54210137,54233237,54279221,54317321,54418838,54437897,54460277,54460735,54536517,54585737,54614921,54645112,54651221,54789351,54829721,54927497,54934421,55010057,55081958,55122868,55131737,55250050,55270421,55346198,55400355,55445340,55610837,55683317,55736921,55787215,55799487,55830617,55859477,55967321,55995221,56131721,56153328,56205977,56283797,56359817,56364821,56394677,56472184,56522298,56565691,56623157,56650421,56672921,56713348,56756597,56807957,56855275,56866421,56882592,56903177,57021017,57058697,57099221,57113717,57132831,57202210,57204821,57235097,57254921,57258197,57274457,57322037,57376757,57437321,57489077,57502217,57542921,57555221,57568982,57569717,57604697,57609351,57610315,57659235,57687221,57694997,57710600,57767321,57768917,57781397,57843221,57858677,57868757,57879797,57895637,57910421,57914777,57919577,57922421,57923477,57925877,57926537,57980548,58085942,58728902,58750264,58977451,58981695,59093712,59141696,59205112,59368262,59622998,59673447,59767450,59855628,60251983,60501124,60703767,60808748,61475751,61503184,61515158,61598472,61622727,61764998,62087916,62565370,62671125,62739327,62854410,62913808,63128822,63172494,63531207,63711427,63949098,63992916,64191544,64231718,64492140,64596758,64924425,65177871,65202278,65352882,65804198,65921635,65997112,66094047,66300060,66306010,66480426,66534408,66605751,66753883,66849200,66944658,67043935,67044704,67288450,67470422,67573624,67762618,68015275,68089863,68175878,68226330,68409878,68642652,68697784,68791616,69132378,69191082,69252720,69298281,69796707,69916838,70375622,70720064,70778034,70835235,71256700,71399462,71711530,71720940,71796595,72053247,72187718,72215487,72222148,72258447,72275035,72290120,72523382,72746438,72774752,73063627,73743062,73869568,74246751,74689675,74764543,74851209,75078444,75205350,75230890,75425292,75486038,75557584,75668551,76020327,76077112,76335891,76502336,76744504,77086598,77285007,77382735,77390568,77667423,77785251,77801050,77822438,77909310,78091783,78167985,78299512,78495715,78543115,78817924,79067462,79105962,79174543,79408312,79560072,79567212,80190518,80216851,80219040,80297524,80452722,80493782,80594582,80746140,80808130,81326385,81577795,81618330,81769924,81871596,82300450,82541584,82678118,82716235,83057002,83103264,83379184,83819188,84031862,84268024,84693124,84792758,84854095,85002282,85051351,85204095,85263638,85508040,85566976,85586751,85777675,86053836,86065128,86129216,86155914,86337567,86730042,86746262,86748144,86869640,86879515,87059552,87064389,87111158,87472311,87564038,87718915,88086951,88162948,88450228,88723047,88877944,88989062,89100195,89334351,89379100,89505081,89627610,89860982,90246420,90277068,90462758,90884368,91208576,91561622,91645142,91935544,92191148,92772087,92799302,92859282,93057125,93123878,93242104,93361260,93491172,93526358,93686342,93760383,93801582,93853828,94169215,94194858,94218951,94251738,94399142,94652151,94696399,94801527,94867862,95040208,95197624,95249635,95362690,95414584,95484758,95538628,95572095,95602784,95726554,95777050,96196545,96242918,96262848,96308815,96638311,96656068,96779263,96803740,96817125,96823269,96895368,96969756,97591662,97728345,97761391,97893354,97941996,98153295,98228119,98760540,98783078,99131558,99259482,99269942,99402674,99585344,99807994,99885542,99953222,99987687,...,818929371284166189558178793560418254384580637870397285234916483039997887873243972733440096043561207760832872227024225227289148771627861701932126218357030560705427126599940061875440832692145321526328585602781549795002307116067574546494487325500349480055806991125526663068345360305847271709196930865790026863876319263730079867867768004838871191018735971820414164746041335650600481736669073622684168211679333018673268046278959723032158066311269546293454633944952521533140968351161559254720870466389469650615269120963562844230694576021570589622088573388849528867545246636948447128403983088755227362188325162587296875225062607588511841020185176198027430517749749038990362423448524694879453581278484677821811222039231428875962036596484996841861853621315536630040012879455439081576563204256661399513500884117313692921259945830230275557251144952371614845307290953432645022220354474552607551521883704792469863615967764079665463194716344783126550942452706090300841174662842052601562824518839986474344239094343903497607484951555289898140287216887084290573571856937734143109585957082915256395842217898941312270699640873893510775432628181870318636524527799098879841081019324569983393874815824045529634850368447617169085768026658777500177968112055292071934463567362603122041731051427468186564679631793975467601820159507124552620381488065148235680060917226282622201801766316571951992737382862915594113204425337944172913733268111172659751938109355149645556754332826117659003976698345336606717284069237054032536513279897452977418501764395805738847548063319467408887826008239786389255970896619502809895123595803370091798070511518635400591103559351328804795543733211134417171282309254808348765813148405771579789957794464504628161283138250100023923787493038145666909693865079301849454657541327743229765286520304639143909063634920860006197061847917220059104323333641037800111189673866472805487830955871228909273408883582374824853164607883692583630720270106368076524050447170518737447601839892441232726258805464218360778340956965084790770177736351153648633661211897654802260238443528318662532338783108102804733446615412109104548133792944584150742567411171762652992922265304927955133274150622441461870189712920413851632259424265797440215630383459453831346728718311083693723339337145265695178642312196722412809560896584505180773981280388396541989691810521504951990020035768942309080408071857640916576724348070909983175575722175028029328493853769}
15223   717282192199311314256175101544221130880986658072663692164019256: {121736,136953,1443905,1732686,1808681,2139393,2173457,2353985,2446073,2583830,2683497,2824782,3082961,3100596,3175337,3226737,3357653,3494390,3678158,3769113,4039977,4193268,4404230,4540913,4567073,4905401,5121273,5285076,5532436,5682182,5979905,6199113,6524390,7104881,7175886,7298213,7333685,7541553,7684622,7829268,7903480,8082676,8370761,8709302,8778086,8800422,8891415,8936897,9362584,9484176,9582785,10149830,10270468,10532907,10669698,11249462,11271657,11499342,11526641,11546680,11801073,11822885,11958230,12013157,12065457,12156617,12179796,12350822,12386537,12441860,12539175,12593577,12990015,13375120,13856016,13973297,14187462,14349876,14365013,14463736,14569721,14669921,14930232,15004756,15047010,15539537,15588018,15639771,15744153,15992342,16050144,16070660,16271703,16466630,16720646,16796511,17175473,17243321,17307777,17380792,17494997,17582222,18056412,18526742,18618775,19269401,19284792,19371075,19553391,19560856,19759956,19896537,20193617,20228273,20253185,20329958,20411697,20662480,20668953,20738981,20918681,20957030,20986697,21182817,21240017,21398117,21695391,22005963,22165382,22207953,22342530,22630286,22974537,23046617,23238566,23245290,23620838,23647118,23832032,23845817,23889782,24303822,24310022,24437273,24536390,24637985,24755673,24794976,24873377,24902033,25016321,25117460,25148436,25392664,25768713,25804022,25946405,26021433,26197575,26273937,26297678,26326721,26598250,26690057,26811036,26845013,26850616,27251585,27259478,27474857,27575295,27662222,27842201,27894348,27942902,27944080,27988313,28145201,28566747,28612721,28787097,28917686,28966721,29033823,29173157,29413648,29419685,29443668,29536833,29552657,29565582,29606918,29786313,29883830,29921156,29926721,30140952,30206943,30510086,30533457,30607073,30723173,30944116,31135686,31147685,31352948,31437090,31438456,31917900,32011157,32106068,32328980,32400377,32439905,32701902,32863457,33090354,33281321,33502593,33532896,33908571,34045760,34128260,34232462,34482086,34485393,34564075,34910390,34975497,34977137,35099561,35303622,35368263,35860596,35869985,36116801,36212198,36320081,36380801,37377222,37516697,37555142,37677653,37724508,37742177,37781606,37817621,37833137,37997500,38301480,38361977,38448293,38508758,38755073,38794776,38927886,39326804,39517460,39670982,40207430,40373921,40823438,40854912,40945135,40953912,41087246,41310980,41381030,41416886,41476890,41507337,41746233,41892468,42010982,42105075,42141902,42268868,42417291,42474422,42599535,42671462,43043982,43089165,43175073,43187057,43399601,43644123,43724390,44028233,44157761,44205880,44214833,44242016,44807273,44912080,45068097,45076817,45430022,45439504,45597000,45961776,46073151,46412681,46473977,46537286,46633742,46897877,47214041,47249921,47287988,47420873,47420952,47814473,48110885,48150017,48248916,48636800,48917752,49044873,49134162,49257653,49369958,49377250,49406897,49413161,49573176,49657236,49731615,49740182,49772268,49822886,49971513,50142230,50496775,50526090,50897318,50965457,51001604,51103793,51119442,51296625,51298097,51352262,51354993,51406481,51595430,51706998,51748984,51804473,51885830,51993062,52469268,52630097,52646486,52744276,52883702,53047056,53348571,53373062,53499905,53533478,53815286,53871177,53894496,53898663,54482177,54535637,54552873,54596996,54716400,54734885,55006257,55032471,55049582,55349198,55364390,55556405,55769823,56167601,56190821,56586297,56785985,56800553,57481313,57677030,57733062,57747473,57753257,57957638,57979622,58217607,58364160,58420385,58493050,58664116,59126921,59166980,59192078,59252700,59343782,59492577,59642405,59677938,60110561,60170676,60192664,60596130,60615893,60631308,60641691,60805541,61159502,61162721,61555950,61703337,61880056,61914516,61999430,62142897,62255104,62262996,62268278,62581593,62885285,62911193,63020213,63186017,63202880,63253855,63677908,63762182,64010390,64024337,64165075,64199886,64327737,64635872,64863377,64996937,65066342,65102486,65359121,65412057,65504276,65628273,65659680,65681862,66112886,66303830,66437268,66567473,66667686,66776033,66906485,66939544,67135142,67135508,67151441,67361237,67380662,67448630,67716747,67778553,67799992,68143182,68306390,68512073,68845593,68903585,69212436,69306675,69309617,69350873,69482273,69615063,69695337,70036992,70104462,70118913,70184404,70191660,70300661,70392377,70590230,70815953,70891685,71000376,71051537,71095508,71103240,71570886,71794553,72048644,72138250,72223886,72475685,72684977,72715356,72956786,72968393,72986201,73052468,73072337,73155398,73268193,73437830,73734521,73770953,73823633,73867140,73927120,74006390,74277902,74399316,74574422,74819535,74825102,74871104,74949797,75306987,75332822,75363064,75462342,75546777,75626405,75843456,75904626,76010935,76163673,76177108,76274991,76449893,76812468,76878980,76998090,77282102,77490293,77609895,77740622,77768201,78611817,78642260,78791616,78803237,79365638,79420953,79523822,79564596,79673897,79802561,79807504,79875423,79991145,80239430,80287782,80345333,80443601,80615175,80759657,80938356,81586841,81628257,81831317,81967668,82131296,82163636,82204433,82496390,82622937,82684302,82783888,82806737,82875075,83019297,83160182,83168010,83297921,83307137,83327318,83487761,83561500,83652436,83805880,83820953,84229992,84298097,84467030,84544457,84708276,84783447,85043153,85070022,85184501,85230086,85265464,85323888,85803315,85872230,85989520,86353473,86483342,86565900,86894201,86903828,86970822,87007397,87128913,87137176,87647573,88093353,88125396,88400080,88403078,88412342,88556777,88640568,88712544,88762193,88807668,89052393,89066318,89070875,89200622,89259544,89434497,89651175,89664401,89783442,90043723,90277685,90362650,90430502,90751686,90786484,90968440,91213122,91523536,91525697,91609742,91680977,91729937,92176504,92243342,92254776,92272737,92291078,92336960,92397708,92647497,92750342,92790821,93017366,93052457,93056921,93062276,93131874,93211313,93848055,94281615,94370712,94446980,94693233,94758741,94914422,95074433,95096390,95143886,95193401,95215862,95354726,95530361,95627920,95923647,95930630,95989374,96070996,96098213,96287316,96303617,96344596,96347577,96415886,96451481,96738210,96895137,97494422,97609382,97681862,97803417,97824278,97851317,97874390,98029323,98522405,98706297,98754977,98995668,99260390,99363737,99450090,99459015,99605657,99720639,99801612,99902582,...,1091905828378888252744238391413891005846107517160529713646555310719997183830991963644586794724748277014443829636032300303052198362170482269242834957809374080940569502133253415833921110256193762035104780803708733060003076154756766061992649767333799306741075988167368884091127147074463028945595907821053369151835092351640106490490357339785161588024981295760552219661388447534133975648892098163578890948905777358231024061705279630709544088415026061724606178593270028710854624468215412339627827288519292867487025494618083792307592768028760786162784764518466038490060328849264596171205310785006969816251100216783062500300083476784682454693580234930703240690332998718653816564598032926505938108371312903762414962718975238501282715461979995789149138161754048840053350505940585442102084272342215199351334512156418257228346594440307034076334859936495486460409721271243526696293805966070143402029178273056626484821290352106220617592955126377502067923270274787067788232883789403468750432691786648632458985459125204663476646602073719864187049622516112387431429142583645524146114609443887008527789623865255083027599521165191347700576837575827091515366037065465173121441359099426644525166421098727372846467157930156225447690702211703333570624149407056095912618089816804162722308068569957582086239509058633956802426879342832736827175317420197647573414556301710162935735688422095935990316510483887458817605900450592230551644357481563546335917479140199527409005777101490212005302264460448808956378758982738710048684373196603969891335685861074318463397417759289878517101344319715185674627862159337079860164794404493455730760682024847200788138079135105073060724977614845889561709745673077798354417531207695439719943725952672837548377517666800031898383324050860889212925153439069132606210055103657639687048693739518858545418179894480008262749130556293412139097778188050400148252898488630407317107941161638545697878511443166433137552810511590111507627026808490768698733929560691649930135786523254976968345073952291147704454609286779721026903648468204864844881615863539736346984591371091550043118377477470406311262153882812139397511723926112200990089881562350203990563020406570606844365534163255282493586283893885135509679232354396586954173844612605108462304957748111591631119116193687593571523082928963217079414528779340241031975040517862055986255747362006602653360047691923078773877429143521222102299130761213310900767629566704039104658471692}
15224   720505508560474417767081984169792884428397588922915033080758243: {106519,152170,182604,470983,561919,699154,881194,1557463,1849642,2211754,2276023,2310248,2454943,2513074,2599029,2852524,2900983,3054442,3167743,3577996,3610903,3766376,3875745,3953842,4134128,4140319,4193074,4237173,4302316,4491754,4650894,5016919,5025484,5241585,5386636,5517237,5539423,5591024,5741842,5886319,6289902,6606345,6748519,6828364,6915545,7046768,7161874,7176919,7927614,7943503,8103442,8192261,8265484,8298654,8366863,8455474,8523273,8748394,9208183,9567848,9626143,9786585,9792823,9857842,9879350,10042303,10055404,10103345,10439024,10497514,10763829,11250994,11361919,11526933,11703230,11733896,11743902,11852023,11855220,11886442,12117034,12124014,12582319,12645568,12655769,12663103,12838085,12979474,13063953,13094194,13167129,13200633,13666834,14043876,14226264,14433350,14465842,14693554,14895823,14977834,15028876,15208193,15224745,15332456,15375154,15405702,15552325,15734764,15757519,16004547,16087276,16223863,16239728,16675114,16718900,16791436,16874193,16995343,17115749,17249013,17320020,17349994,17574442,17937345,17987503,18079670,18139063,18269694,18365863,18413842,18474688,18526233,18662790,18755945,18916616,19133168,19194034,19249642,19582954,19906976,20062680,20088325,20784024,20853028,20855314,20963983,20992204,21109783,21240874,21281193,21400192,21515794,21524814,21695604,21725990,21762319,22009642,22122319,22218581,22338154,22395348,22480519,22507134,22570515,23077036,23374642,23382027,23494289,23544319,23646442,23965303,23988513,24075216,24105990,24451070,24513514,24699945,25080969,25268842,25691503,25713056,25736942,25828100,26071188,26288914,26346608,26373333,26528716,26556394,26876842,27040063,27084618,27215596,27508649,27558604,27675442,27790113,27901183,28229143,28232633,28243756,28879663,28927188,29202223,29341284,29610604,29639934,29734954,29790040,30102034,30259114,30474463,30494937,30600103,30632716,30993720,31396825,31435545,31471519,31740830,31840663,32024263,32391442,32405096,32907442,33007564,33059968,33248073,33291319,33473194,33513795,33529063,33531248,33563270,33588319,33647503,33883519,33942343,33945429,33985834,34241554,34358284,34468519,34695244,34700503,34816063,34857849,34867935,34930100,35031916,35103703,35158834,35275423,35431257,35470677,35748048,35834673,35919274,35969842,36222442,36403663,36455733,36465033,36676114,36726442,36767060,36804585,37192464,37230943,37285519,37401445,37676190,37722654,38088996,38228842,38308783,38361919,38382796,38626519,38680145,38706033,38711764,38941663,39098263,39191185,39258224,39271954,39298070,39357823,39382444,39420776,39446517,39519274,39715084,39759566,39871543,39897375,40125703,40132585,40160434,40187936,40216554,40275924,40411225,40455442,40711276,40889217,40994794,41141554,41418319,41434642,41493333,41514248,41841522,41902519,41914353,41916120,41921842,42094183,42141919,42213394,42426823,42455914,42557200,42615319,42660325,42803033,42849319,42895903,43376529,43602536,43806634,44120472,44165502,44215519,44348373,44410377,44656519,44670124,44710528,44825745,44881734,45090319,45211428,45239914,45261823,45280361,45559183,45685543,45765129,45951154,45977863,45980524,46143319,46187434,46416174,46511383,46517554,46633996,46703529,47029422,47071496,47155635,47157684,47222314,47347519,47362834,47386543,47496875,47778302,47814128,47876850,48159102,48338743,48342442,48493470,48574642,48633943,48670519,48852319,48852754,49052853,49158505,49210519,49396825,49596223,49635531,49836296,50299344,50603863,50861623,50893519,50920234,51068640,51192390,51329842,51348693,51638725,51697543,51723129,51726368,51903848,52280554,52365585,52668581,52703023,52730794,52836085,52955314,52955433,53080519,53106943,53211919,53237983,53242057,53494663,53595319,53744143,53760274,53790894,53817583,53986423,54145049,54294034,54318297,54473216,54605216,54626503,54734863,54756319,54946183,55257350,55302520,55343116,55398634,55461919,55480783,55555519,55574023,55629103,55661644,55719463,55749994,55755103,55856624,55979743,55996519,56065833,56140100,56223823,56316919,56332713,56377543,56524063,56556388,56586762,56672409,56799380,56808319,56841394,56871319,56996250,57038143,57116263,57221743,57251983,57271783,57391976,57393463,57445519,57452220,57518743,57556903,57566764,57577834,57634519,57750442,57763137,57778519,57783343,57843319,57874423,57931519,57936919,57942463,58137874,58192164,58223794,58391829,58572101,58780714,58990206,59036842,59109985,59276190,59324993,59506473,59674642,60090796,60140074,60311145,60796000,61147190,61148842,61235157,61282368,61399594,61430868,61524754,61630869,61966470,62023954,62071545,62125329,62215335,62396842,62768434,62838702,63016473,63212853,63227936,63403302,63711633,63752005,64007193,64331888,64565973,64647442,64686230,65259073,65393164,65512216,65586585,65814634,65930345,65942681,66054442,66097568,66209648,66293674,66308820,66363024,66628684,67284274,67368120,67834642,67991314,68145033,68159256,68225842,68246245,68395500,68473324,68576554,68942664,69351274,69582442,69805929,69831566,69950613,69959024,70386994,70729408,70931982,71070994,71131428,71206889,71828236,71859328,71864884,72373374,72435902,72460714,72737164,72758314,72795442,72955200,73330145,73341676,73376628,73534642,73681714,73701243,73958725,74054937,74065875,74359764,74449642,74485854,74544949,74607281,74610273,74658402,74734329,74776594,75213345,75213721,75240830,75318634,75448396,75534442,75789135,76245029,76345977,76502406,76604842,76679163,76977416,77028393,77350070,77393145,77560497,77623476,77818880,77828745,77835442,77870314,77989593,78102101,78667954,78703902,78909034,78969729,79003600,79012114,79116414,79323436,79325553,79570584,79597385,79695634,80059593,80083094,80204074,80227568,80237842,80300217,80654441,80722929,80794840,80841744,80855588,80943274,81880345,81895494,81905842,82074600,82271116,82552688,82574373,82594474,82724842,82857196,83017328,83023797,83046585,83442124,83674430,83919385,84364594,84749990,84807442,84838954,85559314,85599848,85770316,85776874,85869874,86486194,86515545,86599593,86936457,86969433,87156754,87216076,87504364,87546240,87575816,87591518,87609514,87730505,87739575,87996174,88474642,88583024,88651954,88750470,88788117,88869385,88879050,88890248,88946194,89015673,89516907,90060805,90256014,90288996,90371404,90478954,90507442,90819754,90857576,90894195,90946962,91073842,91315585,91605994,91739253,91745074,91794124,91939114,92283248,92290289,92333925,92408900,92820084,92828414,92843314,92871774,92927116,92978794,92999145,93167794,93382656,93394494,93402417,93472616,93491884,93570154,93588880,93703474,93861509,94203830,94442674,94667168,94755634,94801733,94804320,95117842,95221385,95427848,95516862,95527954,95643273,95756842,95883442,96015585,96098725,96285874,96299829,96410794,96659434,96953808,97150537,97517074,97599513,97613842,97653729,97690924,97974442,98256414,98302825,98473234,98489520,98522793,98801842,99150442,99169329,99173554,99199088,99455745,99586834,99655902,99759380,99927274,99972394,...,1637858742568332379116357587120836508769161275740794570469832966079995775746487945466880192087122415521665744454048450454578297543255723403864252436714061121410854253199880123750881665384290643052657171205563099590004614232135149092988974651000698960111613982251053326136690720611694543418393861731580053727752638527460159735735536009677742382037471943640828329492082671301200963473338147245368336423358666037346536092557919446064316132622539092586909267889905043066281936702323118509441740932778939301230538241927125688461389152043141179244177146777699057735090493273896894256807966177510454724376650325174593750450125215177023682040370352396054861035499498077980724846897049389758907162556969355643622444078462857751924073192969993683723707242631073260080025758910878163153126408513322799027001768234627385842519891660460551114502289904743229690614581906865290044440708949105215103043767409584939727231935528159330926389432689566253101884905412180601682349325684105203125649037679972948688478188687806995214969903110579796280574433774168581147143713875468286219171914165830512791684435797882624541399281747787021550865256363740637273049055598197759682162038649139966787749631648091059269700736895234338171536053317555000355936224110584143868927134725206244083462102854936373129359263587950935203640319014249105240762976130296471360121834452565244403603532633143903985474765725831188226408850675888345827466536222345319503876218710299291113508665652235318007953396690673213434568138474108065073026559794905954837003528791611477695096126638934817775652016479572778511941793239005619790247191606740183596141023037270801182207118702657609591087466422268834342564618509616697531626296811543159579915588929009256322566276500200047847574986076291333819387730158603698909315082655486459530573040609278287818127269841720012394123695834440118208646667282075600222379347732945610975661911742457818546817767164749649706329215767385167261440540212736153048100894341037474895203679784882465452517610928436721556681913930169581540355472702307297267322423795309604520476887056637325064677566216205609466893230824218209096267585889168301485134822343525305985844530609855910266548301244882923740379425840827703264518848531594880431260766918907662693457436622167387446678674290531390357284624393444825619121793169010361547962560776793083979383621043009903980040071537884618160816143715281833153448696141819966351151444350056058656987707538}
15225   723743194264606320099110911059420909006104963254990464828922636: {228255,243472,273906,1048731,1321791,2021467,2568631,2774463,2887810,3295579,3317631,3465372,3565655,3617362,3752671,3769611,4278786,4346914,4472495,4581663,4707970,4892146,5167660,5366994,5377895,5482507,5649564,5930763,6165922,6201192,6281855,6289611,6350674,6453474,6715306,6733295,6737631,6843023,6976341,6988780,7356316,7538226,8079954,8371867,8386536,8535455,8612763,8808460,8838863,9081826,9134146,9434853,9810802,10120391,10242546,10267159,10331855,10570152,10742811,11064872,11364364,11891421,11959810,12113639,12155163,12398226,12447981,12569255,12683211,13048780,13122591,13415899,13814603,14209762,14296823,14351772,14366911,14596426,14667370,14786763,14819025,15083106,15194447,15369244,15658536,15746271,15806960,16165352,16552039,16741522,16876491,17418604,17554845,17556172,17600844,17615853,17780939,17782830,17829663,17873794,18175551,18186021,18270359,18466631,18725168,18770543,18786095,18968352,19165570,19271947,19469211,19641291,19668455,20109095,20299660,20500251,20540936,20648087,20898625,20989295,21065814,21339396,21650025,21698763,21734603,22040331,22466751,22498924,22543314,22721039,22998684,23053282,23062731,23093360,23108553,23602146,23645770,23916460,24026314,24130914,24313234,24359592,24701644,24708923,24773074,24883720,25012671,25078350,25187154,25899407,25938719,25980030,26024991,26066285,26240255,26361663,26750240,27119505,27236911,27404541,27468719,27620763,27712032,27946594,27992011,27994185,28354459,28374924,28699752,28730026,28791051,28846295,28874463,28927472,29139442,29168999,29339842,29374431,29564743,29860464,30009512,30094020,31079074,31176036,31279542,31282971,31488306,31861311,31984684,32100288,32141320,32273691,32285125,32287221,32541839,32543406,32588985,32879663,32933260,33014463,33160895,33424379,33441292,33507231,33576479,33593022,33760701,34019495,34218823,34350946,34448255,34486642,34493179,34615554,34761584,34989994,35061963,35079623,35164444,35304695,35367943,35469663,36112824,36158985,36324967,36676605,36770271,37013255,37053484,37237550,37484959,37903263,38152219,38290895,38538802,38569584,38605413,38742150,38838631,38991167,39106782,39121712,39433371,39519912,39662383,39793074,39834591,40315263,40387234,40456546,40506370,40626927,40659916,40823394,41187559,41259455,41324960,41337906,41477962,41513163,41837362,41914060,41973394,42283439,42365634,42480034,42796234,42947855,43253243,43369055,43390782,43606759,43662625,43789895,44011926,44330764,44415906,44459901,44602431,44604391,44685060,45153051,45260572,45388671,45415867,45949074,45958825,46093234,46477132,46490580,47241676,47294236,47611245,47664064,47691634,47779564,47978495,48185563,48389705,48587163,48607644,48620044,48760199,48874546,49072780,49228055,49275970,49361163,49426991,49511346,49589952,49643855,49746754,49804066,50032642,50209791,50217979,50234920,50296872,50344905,50412059,50785328,50889095,50978751,51362331,51388703,51537426,51586631,51608044,51892810,51945839,52042866,52395150,52547874,52587467,52595356,52653442,52738251,53196500,53380114,53622072,53690026,53701232,53878911,53954763,54161599,54333663,54503170,54518956,54923791,54949714,55014171,55052671,55089663,55150590,55324444,55684402,55788696,55837655,55885804,55888160,55976626,56290402,56514285,56583981,56747339,56825063,57133494,57225442,57323189,57343263,57475655,57574194,57835372,57933442,58067646,58292495,58346314,58827296,58839370,58887336,58907931,58947105,59073666,59105314,59131164,59213836,59278911,59572626,59639349,59767660,59842312,59853442,60240651,60281904,60324831,60413886,60683163,60819047,61020172,61066914,61214146,61446346,61492191,61712331,61888232,62151963,62271372,62295370,62458703,62483003,62705896,62762283,62874180,62876912,62882763,63320091,63482971,63683871,63821519,63835800,64022314,64212136,64657960,64800754,64879810,65320919,65340143,65403804,65709951,65726914,66142799,66180708,66248253,66562642,67005186,67065792,67200223,67322601,67355239,67743499,67817142,67859871,68091520,68256520,68316047,68464924,68926731,68964172,68970786,69128150,69178895,69281151,69577055,69624261,69776331,69820780,69950994,69954274,70086203,70175125,70199122,70544133,70607244,70647151,70695485,70736526,70771639,70833471,70999225,71044251,71146511,71570519,71667453,71721192,71739970,71815275,71958455,71979083,72233602,72238653,72424396,72513663,72640162,72740205,72761602,72861963,73279131,73861451,74754444,74812463,74899867,75033394,75110284,75113495,75355306,75449016,75484354,75563212,75635242,75666274,75755339,75951643,75995000,76033403,76380351,76602960,76628839,76723954,76788585,76896586,76994763,77017516,77510146,77589552,77778967,77855772,77953247,78420831,78571327,78653608,78760439,79034920,79096191,79169327,79341964,79432971,79500379,79518923,80218871,80240971,80247599,80414860,80640411,80686341,80747842,80849663,81441051,81646876,81709824,81741455,81788539,81890270,81907824,82174492,82621960,82762060,82833772,82886025,82953780,83014674,83097951,83190991,83285855,83492466,83499367,83624991,83784936,84021964,84210150,84237943,84283804,84537736,84834582,84880143,84948844,85199070,85262091,85342924,85494375,85591655,86087964,86178330,86312123,86350146,86366751,86374114,86625663,86799202,86925991,87206811,87288246,87315079,87335691,87448780,88039399,88056466,88171071,88315522,88411760,88429666,88484032,88485309,88555263,88555397,88914285,89511963,89614546,89785295,89803439,89824160,89831105,90136194,90153634,90210111,90366011,90860044,90879008,90921455,91194000,91677095,91720785,91723263,91923552,92099391,92146302,92287131,92825362,92947954,92949705,93035931,93074572,93267484,93595263,93669079,93795754,94152651,94258053,94310495,94428082,94446539,94499842,94575976,94628263,94841746,94841904,95104953,95206207,95372783,95443231,95628946,96221770,96300034,96465019,96497832,96971163,97029345,97273600,97596283,97835504,97881439,98003803,98089746,98268324,98515306,98540927,98721951,98739916,98754500,98813794,98826322,99081663,99146352,99154295,99248359,99314472,99440511,99463230,99480364,99544536,99645772,99943026,...,2456788113852498568674536380681254763153741913611191855704749449119993663619731918200320288130683623282498616681072675681867446314883585105796378655071091682116281379799820185626322498076435964578985756808344649385006921348202723639483461976501048440167420973376579989205036080917541815127590792597370080591628957791190239603603304014516613573056207915461242494238124006951801445210007220868052504635037999056019804138836879169096474198933808638880363901834857564599422905053484677764162611399168408951845807362890688532692083728064711768866265720166548586602635739910845341385211949266265682086564975487761890625675187822765535523060555528594082291553249247116971087270345574084638360743835454033465433666117694286627886109789454990525585560863946609890120038638366317244729689612769984198540502652351941078763779837490690826671753434857114844535921872860297935066661063423657822654565651114377409590847903292238996389584149034349379652827358118270902523523988526157804688473556519959423032717283031710492822454854665869694420861650661252871720715570813202429328757871248745769187526653696823936812098922621680532326297884545610955909573583397296639523243057973709950181624447472136588904551105342851507257304079976332500533904336165876215803390702087809366125193154282404559694038895381926402805460478521373657861144464195444707040182751678847866605405298949715855978212148588746782339613276013832518741199804333517979255814328065448936670262998478352977011930095036009820151852207711162097609539839692358932255505293187417216542644189958402226663478024719359167767912689858508429685370787410110275394211534555906201773310678053986414386631199633403251513846927764425046297439445217314739369873383393513884483849414750300071771362479114437000729081595237905548363972623983229689295859560913917431727190904762580018591185543751660177312970000923113400333569021599418416463492867613686727820226650747124474559493823651077750892160810319104229572151341511556212342805519677323698178776416392655082335022870895254372310533209053460945900983635692964406780715330584955987597016349324308414200339846236327313644401378833752452227702233515287958978766795914783865399822451867324385610569138761241554896778272797392320646891150378361494040186154933251081170018011435797085535926936590167238428682689753515542321943841165189625969075431564514855970060107306826927241224215572922749730173044212729949526727166525084087985481561307}
15226   726995312857694431812822150299954298108294150565452147590842846: {213038,304340,365208,410859,804169,941966,1123838,1347193,1398308,1762388,2246473,2604169,3114926,3699284,3847033,4023433,4331715,4423508,4552046,4620496,4909886,5026148,5163013,5198058,5337253,5426043,5684869,5705048,5801966,6108884,6335486,6418179,6459575,6520371,6548869,6892453,7061955,7063813,7155992,7221806,7338219,7405669,7490953,7532752,7751490,7907684,8050491,8170633,8268256,8280638,8339833,8386148,8474346,8593093,8604632,8677369,8735975,8761573,8983508,9195395,9248883,9301788,9526011,9680211,9681763,9849673,9932869,10033838,10050968,10072959,10483170,10773272,11010575,11034474,11078846,11182048,11307339,11483684,11772638,12070693,12119931,12314233,12579804,13212690,13497038,13622739,13656728,13701219,13831090,13921273,14000869,14093536,14144683,14205455,14323748,14353838,14476933,14716203,14871673,15363819,15855228,15887006,16206884,16310975,16384522,16530968,16597308,16733726,16741369,16910948,17046546,17048953,17202313,17496788,17584453,17939715,17973319,18343333,18416366,18597339,18945253,19135696,19211555,19252286,19573170,19585646,19691173,19715684,19758700,20084606,20110808,20206690,20221883,20878048,20995028,21314643,21527658,21773255,21885733,21894639,21945215,21957769,22001055,22501988,22624659,22723838,23053866,23406460,23467792,23487804,23704046,23710440,23772884,24234068,24248028,25112283,25164638,25193593,25291136,25311538,25326206,25374575,25467769,25676170,25958948,26127906,26188388,26258323,26334258,26401266,26418313,26674245,26810691,26888293,27155269,27333668,27553573,28087752,28123655,28452528,28748355,28866700,28931684,29120869,29378053,29387108,29442169,29791646,29825353,29895575,29955668,30057752,30079369,30416386,30449490,30664912,30750308,30811404,30877055,30959353,31104650,31239659,31469528,31515038,31598721,32009094,32174552,32447726,32479456,32616613,33350228,33365839,33395833,33437800,33582872,33692293,33748386,33810373,33814971,33990686,34104313,34231498,34338169,34498026,34579923,34640040,34686793,34699988,35148884,35403219,35468655,35547013,35717113,35773669,35874690,35975006,36039471,36159340,36196371,36278126,36279433,36335269,36469851,36539388,36668773,36731726,36827684,36889669,36949376,37052466,37159611,37325580,37436869,37511890,37617525,37761733,37780731,37833232,38266336,38388068,38499284,38970045,38983033,39165908,39347173,39553669,39605113,39813952,39861253,39980855,40125360,40176650,40317769,40618873,41166575,41262373,41568048,41706056,41710628,41797369,41801615,41919891,41927966,41984408,42219566,42465673,42481748,42562386,42800384,43031588,43049628,43095039,43258213,43391208,43441669,43451980,43524638,43669369,43709163,43955555,44009763,44019284,44244638,44437162,44518213,44676308,44790696,44961038,44997769,45014268,45141030,45255673,45847369,45889093,46013833,46154072,46316855,46618611,46668169,46749284,46764054,46908793,46919313,46988578,47088638,47225593,47232459,47292884,47460169,47930606,47977026,48150432,48211980,48223369,48372553,48815109,48902140,49027028,49101193,49399890,50005369,50039173,50161938,50389533,50537593,50537684,50796793,50824895,50956453,50988169,51145669,51383006,51426112,51473884,51526419,51577093,51656200,51729963,51876613,51923331,52081993,52142376,52362023,52392575,52484991,52577828,52593913,52621669,52693216,52746666,53002693,53029369,53057432,53112788,53395273,53420869,53522533,53753684,54061093,54080126,54152203,54169236,54271369,54431192,54696133,54717769,54846073,54867659,55017298,55033669,55117208,55313893,55350884,55413455,55524169,55580226,55635193,55802366,55856325,55952713,56119033,56135269,56185619,56385253,56458286,56459593,56465266,56487512,56575715,56658169,56855269,56913923,56929573,57036169,57103993,57262213,57301669,57386233,57395269,57560869,57672613,57697669,57703753,57759326,57776293,57808203,57854376,57864133,57888073,57925369,57944773,57949669,57956473,57956869,58096415,58113225,58404446,58660173,58682568,59052095,59117795,59221208,59279868,59469908,59580080,59689611,59724455,60204068,60518228,60580851,60684819,60759555,60775055,60948926,60989874,61200206,61235091,61265432,61340975,61987440,62006859,62216943,62756043,62793650,62871090,62922431,62943038,62960091,63481660,63548451,63681326,63720051,64048526,64194351,64510055,64782884,64810192,65086173,65744195,65814884,66015128,66017889,66119936,66495625,66496146,66582638,66623859,66946388,67027590,67058126,67062496,67126540,67176638,67295006,67767038,67884686,67890858,67971668,68148695,68483108,68716568,68821907,68923611,68937038,69139851,69155555,69390488,69401006,69632126,69715698,69735870,69857255,69860200,70063832,70207406,70317668,70550846,70862514,70941354,71496096,71537451,71669346,71838548,71939684,72294215,72444884,72807326,72911466,72930066,72936611,73311819,73352228,73452884,73534120,73609170,73913955,73970519,74017295,74267019,74384928,74461886,74571038,74620131,74706099,74709575,74802890,75048963,75352380,75445308,76177992,76275215,76457684,76617566,76723838,76765592,77124359,77253038,77306139,77360290,77412066,77423528,77839215,77883326,78064299,78196526,78382370,78516448,78543908,78592725,78596140,78715646,78764888,78821811,78841552,78882683,78893034,78980163,79038548,79430168,79519132,79743086,79794750,80070171,80251406,80265170,80320868,80375872,80433108,80535039,80551848,80822450,80910884,81422552,81754755,81778434,81989588,82283108,82424571,82725885,82753979,82836638,82869284,82986666,83028496,83314943,83526603,83683044,83805038,83828706,83832240,83843684,83964939,84188366,84283838,84426788,84435603,84853646,84911828,85114400,85230638,85320650,85581155,85606066,85698638,85700241,85791806,85838163,86205215,86361291,86753058,86900163,87101469,87205072,87275975,87519471,87613268,88240944,88259055,88331004,88431038,88610499,88657971,88696746,88820754,88888943,89252807,89313038,89340248,89358939,89421056,89651490,89763468,89780163,90180638,90422856,90479828,90523646,90530495,90560722,90620829,91118366,91371086,91530258,91600371,91821219,91902308,91955726,91961048,92169519,92286638,92302483,92374868,92832348,93022766,93035108,93267992,93407058,93443055,93887855,94058844,94142992,94311270,94315368,94444628,94454015,94695038,94725668,94773086,94993750,95544743,95556604,95628256,95753700,96033471,96271895,96318204,96677486,96684884,96986940,97149284,97201131,97267886,97319715,97341038,97704638,97705508,98105706,98317010,98421038,98590371,98793650,99177455,99192446,99271062,99672592,99843963,...,3275717485136664758232715174241673017538322551481589140939665932159991551492975890933760384174244831043331488908096900909156595086511446807728504873428122242821708506399760247501763330768581286105314342411126199180009228464270298185977949302001397920223227964502106652273381441223389086836787723463160107455505277054920319471471072019355484764074943887281656658984165342602401926946676294490736672846717332074693072185115838892128632265245078185173818535779810086132563873404646237018883481865557878602461076483854251376922778304086282358488354293555398115470180986547793788513615932355020909448753300650349187500900250430354047364080740704792109722070998996155961449693794098779517814325113938711287244888156925715503848146385939987367447414485262146520160051517821756326306252817026645598054003536469254771685039783320921102229004579809486459381229163813730580088881417898210430206087534819169879454463871056318661852778865379132506203769810824361203364698651368210406251298075359945897376956377375613990429939806221159592561148867548337162294287427750936572438343828331661025583368871595765249082798563495574043101730512727481274546098111196395519364324077298279933575499263296182118539401473790468676343072106635110000711872448221168287737854269450412488166924205709872746258718527175901870407280638028498210481525952260592942720243668905130488807207065266287807970949531451662376452817701351776691654933072444690639007752437420598582227017331304470636015906793381346426869136276948216130146053119589811909674007057583222955390192253277869635551304032959145557023883586478011239580494383213480367192282046074541602364414237405315219182174932844537668685129237019233395063252593623086319159831177858018512645132553000400095695149972152582667638775460317207397818630165310972919061146081218556575636254539683440024788247391668880236417293334564151200444758695465891221951323823484915637093635534329499299412658431534770334522881080425472306096201788682074949790407359569764930905035221856873443113363827860339163080710945404614594534644847590619209040953774113274650129355132432411218933786461648436418192535171778336602970269644687050611971689061219711820533096602489765847480758851681655406529037697063189760862521533837815325386914873244334774893357348581062780714569248786889651238243586338020723095925121553586167958767242086019807960080143075769236321632287430563666306897392283639932702302888700112117313975415076}
15227   730261928164500589855661496949808958885741515727358445521229537: {15227,319557,380425,456510,486944,547812,1412949,1685757,1747885,2097462,2202985,2643582,2842213,3843829,4042934,4390777,4624105,4672389,4844653,4991917,5137262,5529385,5548926,5775620,5938117,6261493,6282685,6591158,6635262,6828069,6930744,7131310,7176829,7234724,7364829,7505342,7529053,7539222,7636105,7797087,8087209,8557572,8693828,8702949,8794597,8944990,9163326,9415940,9426613,9503229,9543817,9784292,9884605,10335320,10445929,10482685,10733988,10755790,10818349,10832709,10965014,11164813,11229385,11299128,11627235,11861526,11949637,12331844,12402384,12420957,12563710,12579222,12701348,12711519,12906948,13154053,13430612,13466590,13475262,13538773,13686046,13952682,13977560,14354605,14464597,14712632,14994229,15050757,15076452,15709513,15724755,16159908,16267753,16326349,16551711,16618269,16743734,16773072,16982029,17070910,17225526,17596957,17616920,17658957,17677726,17904685,18113293,18163652,18268292,18272773,18785017,18869706,19621604,19819035,20240782,20245557,20258605,20320933,20419813,20485092,20534318,20663710,20746635,21013837,21138685,21140304,21485622,21530757,21870985,22072093,22129744,22183369,22728728,22878073,22981033,23052733,23326117,23782842,23830509,23919620,24227278,24310326,24576783,24644605,24698375,24796452,24895962,25100589,25138510,25366422,25404949,25569819,25686349,25902829,26097560,26243785,26245182,26300533,26452357,26777353,26831798,26852137,26990029,27535837,27624549,27629206,27685573,27982153,28127485,28152733,28419524,28593646,28703544,28733822,28865989,28878429,28990333,29172853,29192852,29258075,29334740,29359755,29378469,29385013,29399533,29573526,29638050,29683657,29716105,30126909,30166212,30292585,30310035,30388894,30591877,30700333,30738488,31317072,31492542,31613920,32291487,32330704,32448685,32564197,32735485,32872213,33030973,33104078,33483044,33703717,33752982,34085757,34167085,34483549,34580799,34837208,35105017,35109690,35112344,35201688,35231706,35556069,35561878,35565660,35659326,35747588,35774269,36083375,36164605,36351102,36372042,36492799,36540718,36733885,36736357,36933262,37444585,37450336,37526653,37541086,37572190,37746957,37936704,37967307,37989309,38149513,38331140,38401429,38437885,38458537,38514255,38543894,38938422,39191859,39221509,39282582,39336910,39501387,39601899,40176457,40218190,40384813,40599320,41000502,41081872,41296174,41680213,41687785,41797250,41930533,41978590,42131628,42474889,42479113,42678792,43300050,43374985,43397526,43469206,43936105,44039917,44080662,44228173,44687469,44933502,44997848,45086628,45199175,45414949,45442078,45519133,45624579,45674235,45739333,45997368,46034605,46106564,46125462,46186720,46217106,46393597,46425253,46656975,46827373,47204292,47272557,47291540,47627293,47832920,47985085,48013641,48052628,48096829,48124105,48227557,48261828,48626468,48671589,48719184,48931573,48957385,49270777,49403288,49417846,49426573,49546148,49727593,49767440,49971337,50025342,50156700,50278537,50374308,50622579,50986029,51117469,51347247,51747039,51798814,51818557,51832117,51877438,51960060,52049982,52132570,52138285,52279069,52480510,52723326,52835749,53102185,53500480,53607253,53644957,53789485,53812035,53895469,53962509,54239010,54314975,54370093,54417189,54473822,54496693,54809082,54937438,55024105,55097589,55156453,55241526,55424064,55578699,55845385,55893188,55984022,55988370,56070013,56267835,56708918,56749848,56754973,57074413,57399504,57460052,57582102,57692590,57748926,57763237,57819397,57854944,58278884,58337998,58425769,58436605,58679684,58748862,59116105,59129486,59694253,59713597,59720928,59808349,59837353,60019024,60126997,60188040,60264975,60716677,60900829,61127675,61283785,61305853,61327993,61390537,62158148,62352072,62559084,62565942,62891949,62976612,63036937,63125653,63172105,63329349,63444733,63695509,63722622,63843579,63969368,64200576,64282640,64342355,64547382,64570250,64574442,65083678,65086812,65177970,65286957,65505469,65722285,65759326,65866520,65952109,66028926,66321790,66366957,66385309,66390985,66655743,66828037,66848758,66882584,67014462,67065037,67152958,67169893,67186044,67192105,67379113,67441557,67521402,67711545,67745587,67974229,68038990,68199373,68437646,68701892,68763397,68823973,68896510,68919277,68973284,68986358,69188605,69231108,69369277,69501397,69523168,69833209,69979988,70123926,70146081,70159246,70328888,70411429,70482867,70609390,70632957,70735886,70939326,71244733,71315833,71329933,71895909,71965539,72225648,72317970,72649934,72795133,72934213,72987757,73005733,73353210,73540542,73843549,74026510,74099835,74106968,74193493,74337385,74475100,74969918,75137029,75242907,75255085,75647785,75802117,75806526,76303657,76304438,76353229,76365229,76581790,77074509,77077604,77139168,77210826,77220169,77484300,77510857,77649253,77677262,77982334,78172717,78175189,78213564,78243424,78824233,78866742,79039824,79119999,79266937,79324766,79352075,79586148,79669182,80465917,80630526,80685769,80774468,80781613,80913092,80978605,81012740,81120189,81253854,81319832,81407029,81609493,81646788,81853033,82268605,82375118,82518910,82525947,82649920,82675812,82829149,82955924,83026326,83329333,83370339,83674724,83682985,83703549,83724133,83828120,83843197,83908175,83946788,84566878,84566893,84687429,84697899,84731268,84793549,84960068,84964585,85066189,85592468,85603885,85895710,86506486,86638989,86738110,86781564,87213518,87325250,87579790,87606669,87897085,88023852,88026373,88263373,88351717,88414729,88661528,88825189,88831812,88919802,89204862,89208782,89370120,89529037,89688493,89798185,89851357,89924605,90200329,90306102,90521144,90556105,90635653,90746029,90777342,90831734,91423389,91484811,91690285,91800309,91816105,91898148,91917650,92186468,92605477,92913733,92954264,92981160,93976909,94190475,94306635,94414557,94459453,94483352,94588472,95080093,95222490,95328128,95383268,95521989,95556133,95559128,95572105,95956990,96072789,96123817,96371126,96447349,96538597,96779410,96850453,97174326,97215288,97240088,97407877,97520398,97749092,98011273,98145560,98179885,98245175,98456110,98551940,98722326,98798185,98853982,98973679,99022692,99179904,99287710,99398915,99409129,99493508,99608132,99744219,99873957,99972937,...,4913576227704997137349072761362509526307483827222383711409498898239987327239463836400640576261367246564997233362145351363734892629767170211592757310142183364232562759599640371252644996152871929157971513616689298770013842696405447278966923953002096880334841946753159978410072161835083630255181585194740161183257915582380479207206608029033227146112415830922484988476248013903602890420014441736105009270075998112039608277673758338192948397867617277760727803669715129198845810106969355528325222798336817903691614725781377065384167456129423537732531440333097173205271479821690682770423898532531364173129950975523781251350375645531071046121111057188164583106498494233942174540691148169276721487670908066930867332235388573255772219578909981051171121727893219780240077276732634489459379225539968397081005304703882157527559674981381653343506869714229689071843745720595870133322126847315645309131302228754819181695806584477992779168298068698759305654716236541805047047977052315609376947113039918846065434566063420985644909709331739388841723301322505743441431141626404858657515742497491538375053307393647873624197845243361064652595769091221911819147166794593279046486115947419900363248894944273177809102210685703014514608159952665001067808672331752431606781404175618732250386308564809119388077790763852805610920957042747315722288928390889414080365503357695733210810597899431711956424297177493564679226552027665037482399608667035958511628656130897873340525996956705954023860190072019640303704415422324195219079679384717864511010586374834433085288379916804453326956049438718335535825379717016859370741574820220550788423069111812403546621356107972828773262399266806503027693855528850092594878890434629478739746766787027768967698829500600143542724958228874001458163190475811096727945247966459378591719121827834863454381809525160037182371087503320354625940001846226800667138043198836832926985735227373455640453301494248949118987647302155501784321620638208459144302683023112424685611039354647396357552832785310164670045741790508744621066418106921891801967271385928813561430661169911975194032698648616828400679692472654627288802757667504904455404467030575917957533591829567730799644903734648771221138277522483109793556545594784641293782300756722988080372309866502162340036022871594171071853873180334476857365379507031084643887682330379251938150863129029711940120214613653854482448431145845499460346088425459899053454333050168175970963122614}
15228   733543104289774244776643878116145010244905193571621465518572916: {167387,426076,440771,608680,622667,684765,730416,821718,1015787,1196771,1347371,1467707,1608338,1617947,1883932,1917827,2067467,2247676,2276627,2515187,2694386,2796616,2961107,3146193,3168587,3524776,3965373,4053347,4141427,4200107,4492946,4930907,5018267,5192771,5208338,5337971,5887907,5945627,6064401,6229852,6377507,6635771,6750347,6807587,7178867,7219525,7235867,7398568,7694066,7705893,8046866,8323389,8369147,8663430,8762771,8790827,8847016,8874947,9043405,9104092,9240992,9819772,9851027,9886737,9952893,10045067,10052296,10293971,10326026,10396116,10674506,10696965,10707371,10852086,10867285,11258013,11308833,11369738,11410096,11501507,11603932,11664971,11769925,11828147,11909627,12072371,12217768,12230365,12342971,12639707,12670972,12720467,12836358,12873553,12919150,12989147,13040742,13097738,13417485,13524107,13744989,13784906,13923227,14123910,14127626,14311984,14443612,14505347,14637107,14676438,14811338,14900027,14981906,15065504,15135971,15414805,15502980,15815368,15876685,16100982,16133685,16341266,16447521,16460747,16536512,16561276,16679666,16772296,16788265,16948692,17051387,17186186,17204771,17209264,17230307,17354738,17471950,17523146,17792289,17967016,18068507,18194747,18371147,18390790,18446627,18497766,18603576,18845565,18868833,19052022,19346771,19360422,19363526,19699346,19718771,19842371,19865738,19887637,19941107,20067676,20101936,20145918,20199885,20212893,20236547,20529069,20579771,20929023,20966340,20970107,21188771,21309971,21546544,21551771,21816827,21912971,22021150,22068948,22157692,22248467,22364096,22614678,22704565,22835365,22967368,23480867,23545276,23691971,23898589,23902427,24019067,24141386,24239862,24298187,24527005,24529907,24628466,24714707,24875987,25115601,25159608,25197371,25334627,25606365,25676507,25838289,26219771,26309867,26425380,26444771,26516589,26579387,26896177,26994076,27225971,27245478,27313456,27358907,27402438,27662180,27842546,27887771,28001738,28187072,28289366,28304559,28410910,28433771,28647496,28707676,28888547,28953866,29403971,29432406,29596067,29743346,29829971,29851187,29899525,30147371,30361173,30482557,30723301,30727638,30776771,30801477,30995565,31171667,31275107,31710456,31774012,32136107,32217371,32228433,32399747,32413768,32621950,32742467,32769044,32922971,33002987,33061936,33194616,33420971,33467452,33482738,33697667,33717371,33821896,33933587,34093092,34097906,34129307,34226867,34304771,34404626,34576427,34711667,34914913,34980971,34993576,35153267,35168906,35286827,35524405,35674263,35879430,35946638,36005027,36117371,36340917,36465489,36491065,36668425,36686666,36693227,36832732,36919597,37194678,37297787,37343943,37406771,37677971,37707765,37767971,37785947,37890506,38049633,38271392,38374667,38410067,38423110,38504572,38639387,38674547,38989547,39006971,39146340,39171292,39367773,39371027,39373117,39382346,39431368,39517400,39525971,39628907,39884987,40122371,40169212,40221616,40247697,40274147,40413380,40443766,40625771,41138387,41269427,41285771,41367371,41432507,41443809,41627147,41756096,41853805,41916947,41990056,42108707,42473027,42629286,42661427,42723971,42890469,42957371,43055316,43100733,43127387,43227877,43546510,43771466,43789278,43890430,43915538,44002110,44007827,44231147,44260787,44305187,44360289,44393771,44457075,44672387,44684485,44832371,45003976,45249318,45278027,45320747,45447676,45476771,45583341,45701987,46022147,46035971,46107732,46324427,46595867,46797347,46812920,46917371,46935584,46975608,47234267,47238813,47247371,47408092,47420880,47545768,47585267,47623907,47913925,47943107,48006347,48381587,48393971,48468136,48496056,48652187,48870707,49014947,49122371,49649771,49656117,49776227,50048771,50060027,50224566,50329276,50387186,50448947,50582272,50623076,50629473,50652412,50749150,50913347,50935538,50976971,51352340,51404027,51444971,51536627,51587267,51917896,51985187,52092371,52255812,52376776,52436387,52516646,52520771,52604507,52664535,52668516,52802532,52836626,52847559,53066771,53146187,53233667,53251067,53342817,53348490,53414771,53488989,53533547,53621382,53634107,53776586,54080267,54267371,54310538,54374387,54449867,54494771,54526653,54558063,54649667,54667336,54707747,54811077,54864827,54885947,54962771,55107146,55325867,55390547,55399893,55460771,55517507,55579787,55653467,55683827,55970771,55973197,56021387,56032547,56054771,56131547,56175504,56185427,56212067,56243771,56247310,56311629,56358285,56402987,56417987,56447771,56472371,56491907,56549747,56615771,56689307,56711867,56778347,56795771,56834507,56843027,56905056,56905907,56942771,56982971,57117371,57121067,57139427,57245387,57279107,57375467,57461771,57478787,57487187,57496710,57543971,57584867,57592307,57618971,57633205,57662747,57733400,57735827,57765971,57810587,57815841,57816971,57863368,57879971,57887147,57902771,57903827,57931787,57956867,57965771,57967067,57967667,57968507,57969971,57972371,57972947,58241738,58407633,58522261,58756106,58774216,58884338,58923873,59005365,59114425,59583292,59650706,59791150,59911336,60065785,60115504,60158738,60327285,60783085,60832772,60898980,61329824,61500616,61500753,61537777,61622808,61754110,61918706,61932685,61944261,62209300,62479318,62695875,62939056,62967885,63030076,63197442,64018188,64349104,64843597,64895452,64950075,64958912,65096289,65203809,65233226,66120993,66700456,66731678,66791666,66875600,67165744,67261909,67384586,67400253,67496772,67620746,67629942,67981372,68163117,68208626,68462996,68676338,68996052,69159846,69188193,69280080,69325659,69373586,69399976,69866485,70297768,70806438,70937310,71094026,71154853,71434226,71547338,71749380,71825065,71950012,72078942,72318680,72392742,72556252,72558866,72670538,72848605,72939702,73078776,73337546,73349605,73463452,73655368,73779338,73898752,74104932,74126769,74319222,74362873,74651160,74873738,75023780,75038013,75235050,75523466,75561462,75666464,76532672,76776136,76998568,77578837,77697685,77698221,77816157,77940090,77966066,78074973,78198855,78331816,78694346,78720765,79084989,79107338,79206001,79210226,79627904,79722506,79961710,80250720,80353300,80635538,81237746,81334981,81358515,81710733,82213623,82333150,82406157,82524746,82672933,82764913,82862289,83136096,83412112,83421256,83594738,83603230,83614237,83839782,83855932,83968816,83976033,83982555,84439132,84931346,84963496,85063377,85085077,85124772,85600768,85877365,86063176,86099256,86190078,86197813,86216605,86373153,86516426,86538885,86623389,86782416,86883338,86903960,87049276,87338738,87418326,87474985,87506997,87911110,88019526,88038568,88123293,88489276,88694229,88874324,89036426,89352616,89581392,89922076,89995538,90028536,90282060,90314077,90511346,91694738,91778186,92027666,92041873,92308144,92633710,93093875,93116701,93224989,93237222,93336338,93498568,93528108,93817586,93838626,93848913,93977156,94177276,94451186,94464918,94585768,94920338,95408173,95583933,95861212,95954052,96300864,96347005,96423960,96446738,96745106,96817777,96821073,96855375,96861663,97625517,97630218,97766955,97800157,97804280,98054056,98202386,98638989,98799780,99043389,99482685,...,7370364341557495706023609142043764289461225740833575567114248347359980990859195754600960864392050869847495850043218027045602338944650755317389135965213275046348844139399460556878967494229307893736957270425033948155020764044608170918450385929503145320502262920129739967615108242752625445382772377792110241774886873373570718810809912043549840719168623746383727482714372020855404335630021662604157513905113997168059412416510637507289422596801425916641091705504572693798268715160454033292487834197505226855537422088672065598076251184194135306598797160499645759807907219732536024155635847798797046259694926463285671877025563468296606569181666585782246874659747741350913261811036722253915082231506362100396300998353082859883658329368364971576756682591839829670360115915098951734189068838309952595621507957055823236291339512472072480015260304571344533607765618580893805199983190270973467963696953343132228772543709876716989168752447103048138958482074354812707570571965578473414065420669559878269098151849095131478467364563997609083262584951983758615162146712439607287986273613746237307562579961090471810436296767865041596978893653636832867728720750191889918569729173921129850544873342416409766713653316028554521771912239928997501601713008497628647410172106263428098375579462847213679082116686145779208416381435564120973583433392586334121120548255036543599816215896849147567934636445766240347018839828041497556223599413000553937767442984196346810010788995435058931035790285108029460455556623133486292828619519077076796766515879562251649627932569875206679990434074158077503303738069575525289056112362230330826182634603667718605319932034161959243159893598900209754541540783293275138892318335651944218109620150180541653451548244250900215314087437343311002187244785713716645091917871949689067887578682741752295181572714287740055773556631254980531938910002769340201000707064798255249390478602841060183460679952241373423678481470953233252676482430957312688716454024534668637028416559031971094536329249177965247005068612685763116931599627160382837702950907078893220342145991754867962791049047972925242601019538708981940933204136501257356683106700545863876936300387744351596199467355601973156831707416283724664690334818392176961940673451135084482120558464799753243510054034307391256607780809770501715286048069260546626965831523495568877907226294693544567910180321920480781723672646718768249190519132638189848580181499575252263956444683921}
15229   736838905619470885265978195122974348337596146368589260984527501: {30454,532595,639114,760850,913020,973888,1095624,1232577,2354915,2412507,2447039,2809595,2825898,3084179,3176591,3358979,3371514,3495770,4041579,4194924,4405970,4542707,4907339,5178767,5287164,5684426,5725499,6473747,6636719,6739419,7687658,7741139,7787315,7812507,8085868,8481707,8781554,8795759,9248210,9344778,9689306,9983834,10274524,10666619,10690547,11058770,11097852,11380115,11541099,11551240,11876234,12070299,12274715,12522986,12565370,12995145,13155791,13182316,13194779,13270524,13656138,13838447,13861488,14262620,14353658,14469448,14504915,14675759,14729658,15010684,15058106,15078444,15272210,15489039,15545699,15594174,15721139,15838715,16011759,16134107,16174418,16278129,17054607,17115144,17387656,17389667,17405898,17557691,17589194,17889980,18054515,18326652,18787499,18831880,18853226,19006458,19087634,19254537,19378725,19561113,19568584,19646607,19769210,20096447,20422511,20670640,20677359,20701595,20891858,20965370,20995019,21082127,21185865,21191439,21406619,21467976,21511580,21636698,21665418,21930028,22014657,22217007,22329626,22458770,22472859,22598256,22711631,23254470,23329199,23723052,23899274,24102059,24151473,24511899,24663688,24804768,24841914,25019499,25066559,25084595,25127420,25158444,25402696,25423038,25569611,25779279,25813896,26010347,26032107,26207925,26284719,26308106,26780891,26861224,26933180,26950524,27077546,27244139,27372092,27586185,27689231,27697115,27746649,27905364,27955120,28362047,28578033,28624067,28709210,28929194,29040633,29045289,29425264,29431595,29549019,29564399,29594159,29687579,29798607,29988458,30101514,30152904,30218877,30595919,30619379,31274171,31419026,31427087,31449510,31897307,32319816,32535506,32652698,33031725,33103422,33236538,33487468,33546144,33742595,33922017,33964058,34141820,34150667,34451052,34502447,34577725,34642211,35193914,35233840,35317914,35355452,35617499,35809370,35884595,36212079,36226586,36327304,36359793,36395279,36536584,36545546,36741299,36942699,37570034,37739412,38661587,38848979,39235019,39243208,39378479,39638070,39717515,39722867,40481564,40491114,40517210,40641866,40839626,40868217,40961305,40970184,41068636,41103657,41327420,41493270,41537387,41602547,41763819,41834315,42002607,42027674,42277370,42280608,42409619,42434049,42616365,42637691,42971244,43061514,43351907,43430799,43741970,44144186,44148609,44259488,44366738,44557007,44615019,44903099,45383507,45408707,45428159,45457456,45756146,45829679,45962066,46040915,46091457,46105466,46250387,46652234,47565684,47661018,47702651,47833919,47839240,48130715,48454556,48620652,48932925,48964115,49153566,49289210,49396750,49592904,49791924,50056847,50201178,50211515,50224107,50277020,50516725,50630447,50732844,50788979,50809898,51120431,51139638,51146859,51318479,51372698,51427439,51606939,51805658,52195120,52269659,52422419,52487570,52490364,52601066,52753359,52904714,53554706,53663596,53704274,53795339,53813039,53819145,53919957,53980058,54203567,55029999,55067339,55071674,55249098,55258412,55371146,55513859,55792017,55964306,56193659,56213147,56254970,56305466,56395067,56809595,56835759,56839048,56841707,57082091,57187292,57407088,57467644,57634665,57731978,57756858,57980666,58328819,58345706,58362899,58385704,58516150,58669480,58719510,58756938,58770026,58799066,59073519,59147052,59260115,59276100,59367314,59432210,59953487,60016907,60253818,60332424,60585170,60620070,60665649,60710891,60724979,60777788,60829739,61183754,61400666,61476976,61510547,61717787,62634144,62911595,62985084,63227840,63278845,63315515,63943929,63964067,64190425,64448447,64582974,64621679,64661408,64723307,64897370,65128394,65184899,65319765,65470970,65657199,65683917,65744426,65835645,65873307,66003165,66061946,66208156,66642707,66802607,66966088,67074059,67179119,67373747,67407434,67451579,67505964,67873977,68171514,68334170,68524907,68540339,68543051,68967098,69161598,69674416,70210034,70219380,70224688,70339151,70403376,70463412,70665899,71112138,71123756,71131320,71318652,71367791,71495176,71548538,71787887,71823419,71973707,72166750,72329210,72702204,72744084,72985598,72993599,73000667,73081436,73239707,73467770,73472714,73866524,74343059,74479115,74690159,74889170,74900672,74980139,75053306,75082172,75144380,75305279,75336849,75493914,75580779,75873408,75934614,75978618,76040965,76123725,76299026,76403307,76662280,76802858,76847807,76875770,76917074,76920911,77028510,77033747,77087788,77218979,77417579,77761625,77815487,77876844,78183539,78383718,78422627,78443018,78565164,78673820,78774969,78787595,78913967,79002774,79203798,79254939,79705931,79834319,80022735,80352914,80377307,80432073,80436380,80599259,80664879,80769626,81119315,81198640,81465807,81811247,82001004,82163744,82283507,82592348,82660719,82762547,83213507,83360426,83375570,83594500,83861066,83957180,84260387,84263256,84370965,84949778,84958226,84976715,85357584,85578745,85797299,86194979,86245065,86262779,86600100,86749970,86795052,86938412,86949059,87362607,87683219,87872210,88079834,88134159,88161324,88326507,88440947,88456346,88592459,88798307,89374938,89476059,89686725,89867004,89880299,89937515,89995696,90079297,90173256,90238107,90398350,90695315,90829898,90884156,91038266,91249158,91327307,91348470,91478666,91767299,91829315,91994736,92011199,92069210,92213128,92250924,92373440,92434212,92631165,92787194,92850506,92878059,92947379,93313950,93574031,93654746,93718977,93779725,94068947,94408584,94545114,94583080,94796163,95112659,95254586,95469179,95665840,95970170,96027282,96105256,96193658,96208307,96248210,96455114,96523656,96754547,96857291,96864047,97133807,97252936,97343178,97438368,97849839,97863146,97914770,98303147,98541554,98806576,98835692,98853146,99092296,99431099,99455186,99534880,99942674,...,9827152455409994274698145522725019052614967654444767422818997796479974654478927672801281152522734493129994466724290702727469785259534340423185514620284366728465125519199280742505289992305743858315943027233378597540027685392810894557933847906004193760669683893506319956820144323670167260510363170389480322366515831164760958414413216058066454292224831661844969976952496027807205780840028883472210018540151996224079216555347516676385896795735234555521455607339430258397691620213938711056650445596673635807383229451562754130768334912258847075465062880666194346410542959643381365540847797065062728346259901951047562502700751291062142092242222114376329166212996988467884349081382296338553442975341816133861734664470777146511544439157819962102342243455786439560480154553465268978918758451079936794162010609407764315055119349962763306687013739428459378143687491441191740266644253694631290618262604457509638363391613168955985558336596137397518611309432473083610094095954104631218753894226079837692130869132126841971289819418663478777683446602645011486882862283252809717315031484994983076750106614787295747248395690486722129305191538182443823638294333589186558092972231894839800726497789888546355618204421371406029029216319905330002135617344663504863213562808351237464500772617129618238776155581527705611221841914085494631444577856781778828160731006715391466421621195798863423912848594354987129358453104055330074964799217334071917023257312261795746681051993913411908047720380144039280607408830844648390438159358769435729022021172749668866170576759833608906653912098877436671071650759434033718741483149640441101576846138223624807093242712215945657546524798533613006055387711057700185189757780869258957479493533574055537935397659001200287085449916457748002916326380951622193455890495932918757183438243655669726908763619050320074364742175006640709251880003692453601334276086397673665853971470454746911280906602988497898237975294604311003568643241276416918288605366046224849371222078709294792715105665570620329340091483581017489242132836213843783603934542771857627122861322339823950388065397297233656801359384945309254577605515335009808910808934061151835915067183659135461599289807469297542442276555044966219587113091189569282587564601513445976160744619733004324680072045743188342143707746360668953714730759014062169287775364660758503876301726258059423880240429227307708964896862291690998920692176850919798106908666100336351941926245228}
15230   740149396821975722447858704289138935165787910600739261633944819: {45681,197821,334774,471169,562141,653041,852152,881542,958671,1141275,1217360,1245334,1369530,1460832,1643436,1648189,2031574,2097649,2366461,2393542,2694742,2935414,2991169,3216676,3235894,3767864,3835654,4134934,4230001,4238847,4495352,4553254,4581361,5030374,5057271,5243655,5388772,5593232,5628529,5922214,6061789,6292386,6337174,6407101,6608955,6837121,7049552,7350769,7930746,8031601,8106694,8282854,8400214,8454781,8526639,8792029,8985892,9796861,9861814,10036534,10107335,10385542,10416676,10543681,10675942,10873729,11120509,11531487,11693809,11775814,11856961,11891254,11938429,12128802,12459704,12660767,12668401,12755014,12843155,12990961,13172331,13271542,13392541,13500694,13615174,13872315,14017167,14348989,14357734,14439050,14471734,14533959,14665501,14797136,14975751,15214199,15373441,15388132,15411786,15842161,16093732,16477895,16588155,16646778,16738294,16848829,17122511,17232769,17326860,17525542,17581654,17694032,17749894,17814351,17828275,18071101,18086810,18208184,18449281,18481984,18763355,18784479,18848055,19349569,19639544,19647361,19702054,19773474,19905786,20090134,20104592,20239489,20484207,20587942,20652052,20792232,21119041,21191869,21349012,21393930,21414742,21530487,21580727,21704172,21734570,21771901,22094487,22227359,22362475,22516026,22561921,22587159,22617666,22739476,22820192,22908315,22918141,23003014,23207864,23329942,23391261,23503571,23539850,23625181,23656294,23819254,24045949,24144742,24261627,24435536,24460730,24533569,24685942,25279414,25341944,25440934,25672716,25703101,25747106,25838300,25978294,26081484,26108847,26195476,26383791,26583409,26834970,26889475,27048214,27052381,27385201,27412535,27489978,27569812,27846454,27913969,27979741,28243787,28247820,28255252,28279839,28509687,28623968,28631451,28887224,28892989,29010694,29215729,29274214,29352876,29622676,29653815,29800054,29855809,29963812,30131008,30173149,30271942,30551581,30677149,30829610,31005960,31337787,31409275,31448055,31486321,31548061,31630736,31753370,31786391,31969511,32201964,32267370,32455047,32498127,32682532,32767741,32895042,32921494,33008221,33073024,33122552,33307201,33359332,33494439,33544592,33576530,33604381,33663601,33666475,33688155,33722749,33897384,33958621,34017409,34102774,34215115,34337807,34372372,34409542,34418528,34460614,34709476,34775101,34881705,34943900,35046292,35292529,35349661,35584578,35634241,35848911,35934032,36137014,36253981,36389494,36742294,36781580,36865009,36893254,36995532,37207152,37262871,37303921,37691130,37737666,37792189,38104044,38134557,38327869,38381041,38693542,38720844,38727052,39013489,39117889,39398692,39429361,39437542,39462159,39684742,39731476,39738241,39775274,39882214,40135352,40146049,40203872,40291836,40399770,40425786,40473094,40616319,41046769,41058138,41145409,41159542,41263079,41292829,41390749,41858046,41859335,41932680,41940214,41972221,42163741,42211441,42377542,42619942,42677275,42871681,42918301,42964849,43063815,43093088,43103542,43380541,43393791,43632251,43633654,43790401,43825942,44015581,44042300,44137896,44194315,44315384,44327809,44416369,44496934,44504641,44728192,44982687,45152271,45229356,45328861,45409130,45625969,45670730,45710209,45934736,46044289,46617841,46819261,46961734,47090552,47128539,47174265,47177281,47256049,47383942,47412721,47797178,47804854,47913949,48038134,48282772,48328561,48403009,48479724,48596374,48697921,48803259,48843649,48916081,48979047,49054010,49059814,49256932,49273921,49429414,49655133,49659229,49734167,49751974,49854807,50069629,50231202,50237569,50319216,50394742,50403709,50601955,50665789,50669254,50923261,50946087,51081841,51087491,51212730,51335795,51353014,51659275,51676578,51758209,52439542,52540669,52619734,52734961,52790871,52844401,52850760,52889542,52976871,53033178,53139421,53158774,53165809,53270641,53296669,53714055,53792354,53802109,53851069,53988152,54255601,54339879,54451942,54490956,54626912,54661249,54717814,54791281,54804876,54818319,54834049,54981469,55225981,55324360,55517041,55610461,55628929,55685092,55756189,55775542,55879921,56003476,56033821,56067229,56261629,56354941,56355051,56370241,56374144,56430721,56576881,56578732,56609118,56633329,56674909,56821820,56860381,56867542,56972161,57134449,57156481,57167389,57262321,57294992,57389149,57415352,57560509,57568321,57606301,57656449,57690109,57752029,57777094,57796381,57826621,57831409,57845341,57887101,57907732,57918529,57969181,57972349,57976561,57983869,57985309,57987649,58595327,58807942,58864812,59192134,59457105,59486692,59659942,59702374,59799050,60294742,60568195,60722346,60736671,60775815,60962799,60965114,61259439,61446602,61455276,61553542,61602954,61991130,62239905,62343334,62550214,62558279,62846275,63041511,63416055,63420912,63548024,64272214,64434742,64456866,64592271,64799494,64827536,65243900,65484934,65538088,65612955,65845942,66005974,66123872,66216279,66389232,66550107,66841942,66934904,66965476,67079495,67395334,67434742,67643792,67867174,68186184,68195812,68258614,68453734,68609542,68634219,68809252,68943099,69073015,69152854,69158199,69423334,69829826,69961942,69978351,69987152,70306534,70337812,70573654,71048810,71348526,71484115,71491527,71758860,71834555,71893276,72010054,72234742,72681834,72930978,72982130,73336850,73373332,73386454,73665464,73730349,73839194,73933815,74095125,74389356,74595574,74687886,74813542,75301767,75355942,75415530,75535942,75571894,75781012,75972235,76099266,76214847,76542784,76709457,76749334,76820134,76846220,77009144,77059047,77278774,77349094,77708487,77979094,78013942,78292680,78342584,78731355,78735546,78742054,78746234,78764692,78862736,78901599,79034800,79051942,79257814,79357071,79491347,79769974,80244742,80332059,80338424,80443232,80495394,80548294,80556411,80686487,80826760,80887532,80970087,81251542,82276774,82283179,82538854,82571542,82607511,82734742,82760195,82865014,82873647,82887618,83056719,83254294,83512192,83707610,83833894,83946459,83980112,84092099,84217414,84382455,84458199,84946054,85096319,85258572,85322854,85447942,85780938,85914742,86110632,86201466,86220607,86254774,86455754,86597967,86635287,86705759,86970999,87093020,87518559,87542932,87578556,87774225,87780860,87831076,88004220,88015654,88079265,88135407,88155039,88198599,88291687,88462294,88521574,88610374,88720578,88787542,88904695,88914150,89050971,89148315,89344774,89368970,89664742,90007952,90380727,90498636,90556054,90641494,90877755,90895352,90930105,90953542,91166682,91351795,91403974,91775631,92044294,92071942,92100999,92215464,92333155,92648854,93191734,93594694,93625840,93834742,93852715,93871168,93930475,93951216,94468534,94477626,94494742,94816184,94841760,95091536,95170534,95247814,95827850,95886214,96012694,96359735,96763174,96787942,96874461,96936272,96992112,97304374,97346055,97692591,97741414,97813079,98029894,98206455,98244742,98342275,98616639,99092919,99299542,99312234,99552454,...,14740728683114991412047218284087528578922451481667151134228496694719961981718391509201921728784101739694991700086436054091204677889301510634778271930426550092697688278798921113757934988458615787473914540850067896310041528089216341836900771859006290641004525840259479935230216485505250890765544755584220483549773746747141437621619824087099681438337247492767454965428744041710808671260043325208315027810227994336118824833021275014578845193602851833282183411009145387596537430320908066584975668395010453711074844177344131196152502368388270613197594320999291519615814439465072048311271695597594092519389852926571343754051126936593213138363333171564493749319495482701826523622073444507830164463012724200792601996706165719767316658736729943153513365183679659340720231830197903468378137676619905191243015914111646472582679024944144960030520609142689067215531237161787610399966380541946935927393906686264457545087419753433978337504894206096277916964148709625415141143931156946828130841339119756538196303698190262956934729127995218166525169903967517230324293424879214575972547227492474615125159922180943620872593535730083193957787307273665735457441500383779837139458347842259701089746684832819533427306632057109043543824479857995003203426016995257294820344212526856196751158925694427358164233372291558416832762871128241947166866785172668242241096510073087199632431793698295135869272891532480694037679656082995112447198826001107875534885968392693620021577990870117862071580570216058920911113246266972585657239038154153593533031759124503299255865139750413359980868148316155006607476139151050578112224724460661652365269207335437210639864068323918486319787197800419509083081566586550277784636671303888436219240300361083306903096488501800430628174874686622004374489571427433290183835743899378135775157365483504590363145428575480111547113262509961063877820005538680402001414129596510498780957205682120366921359904482746847356962941906466505352964861914625377432908049069337274056833118063942189072658498355930494010137225371526233863199254320765675405901814157786440684291983509735925582098095945850485202039077417963881866408273002514713366213401091727753872600775488703192398934711203946313663414832567449329380669636784353923881346902270168964241116929599506487020108068614782513215561619541003430572096138521093253931663046991137755814452589387089135820360643840961563447345293437536498381038265276379697160362999150504527912889367842}
15231   743474642849332656449923703431552280085628728566505653783233839: {60908,502161,745633,1065190,1278228,1322313,1521700,1826040,1868001,1947776,2054295,2191248,2465154,3047361,3296881,3590313,3754153,3933433,4020845,4042113,4403121,4709830,4825014,4853841,4894078,5484673,5619190,5651796,5753481,6120361,6168358,6202401,6353182,6717958,6735965,6743028,6829881,6991540,7545561,7844441,8083158,8389848,8811940,8883321,9085414,9438579,9505761,9814678,9839489,10357534,10574328,10575581,10902241,11232365,11368852,11450998,11831369,11896119,12160041,12424281,12600321,12760493,12947494,13020845,13273438,13478838,13660061,13820081,14792721,14813249,15054801,15375316,15482278,15547753,15574630,15578313,15625014,15932161,16013913,16171736,16389041,16963414,17184601,17563108,17591518,17663721,17836881,18026429,18193203,18496420,18689556,18778001,19067581,19132521,19235165,19378612,19907313,19967668,20117165,20251041,20306881,20422761,20549048,20557193,20997793,21333238,21349841,21381094,21536601,21658575,21707601,22117540,22174201,22195704,22730081,22760230,23082198,23102480,23117679,23284013,23752468,24140598,24549430,24718721,24915241,24970167,25045972,25107441,25130740,25276321,25465469,25815065,25990290,26288313,26311582,26364632,26372481,26389558,26541048,26624841,26686265,27130215,27312276,27479633,27652361,27676894,27722976,28424345,28525240,28627849,28707316,28938896,28982233,29009021,29009830,29351518,29459316,29553081,29660211,29858679,30021368,30116212,30135201,30156888,30544420,30739501,30881913,30978078,31091398,31154729,31188348,31442278,31677430,32023518,32090895,32122113,32268214,32297875,32348836,32556258,32601855,32744345,32892701,33437633,33589841,33774039,33926499,34109214,34230288,34462265,34504521,34775312,34779334,34811796,34994913,35093561,35114333,35115382,35118433,35178388,35309775,35319065,35484441,35728881,35779960,36109030,36217113,36601889,36653304,36691095,37028345,37028913,37031329,37163561,37454765,37574998,37663760,37691321,37706452,37919121,38012916,38161401,38175268,38509074,38620659,38757450,38775961,38967441,39122226,39137168,39293214,39538420,39807793,40192894,40252455,40572321,40841821,40845022,40853165,41204233,41234967,41329409,41341280,41354718,41403190,41699165,41769681,41783716,41930740,41990038,42164254,42371730,42382878,42813238,42935952,42965465,43023160,43210009,43270601,43273396,43330836,43386845,43516041,43563601,43679875,43807865,43860056,43911321,44029314,44230829,44240009,44434014,44659252,44700081,44917540,44945718,45196512,45407913,45423262,45427001,45976975,46176449,46244415,46508940,46658398,47239633,47446104,47630055,47798548,48204118,48302946,48401055,48408815,49023798,49248365,49327376,49342563,49382241,49609536,49664345,49683828,50038998,50133118,50169190,50238433,50254840,50291933,50316888,50364795,50805392,50846076,50992489,51139222,51154161,51409121,51558558,51614313,51627792,51690921,51691609,52020694,52064214,52415850,52569438,52616212,52658281,53376867,53561782,53722448,53866360,53901048,54155092,54205521,54488278,54584241,54744184,55052875,55103549,55113441,55172370,55339881,55378462,55394230,55493298,55604521,55810728,55910240,56536695,56606499,56724094,56764153,56847641,57156066,57248134,57345827,57418420,57511801,57728561,57858388,58040313,58081266,58090578,58568041,58850528,58863190,58909001,59098038,59128798,59156313,59188318,59342401,59375158,59527113,59597214,59662911,59823321,59976916,60203028,60305808,60353465,60437754,60599655,60638679,60709641,61191838,61238758,61571165,61587207,61739313,62548342,62787069,62838052,62854174,62899020,62910321,62944561,63258089,63461849,63566313,63794614,63929913,64058761,64457281,64639632,64655313,64897849,65044013,65071012,65191033,65305396,65347133,65450481,65738913,65969681,66063450,66169121,66206844,66473076,66745401,66845921,66974936,67092288,67383001,67460653,67485190,67844034,67928116,68113695,68283640,68301334,68506095,68549761,68902104,69004894,69155450,69284422,69606365,69851741,70004345,70296121,70387828,70442601,70467680,70635828,70710904,70723415,70854121,71027275,71075913,71234998,71599001,71618740,71695767,71707281,71769190,72057201,72384665,72424158,72453172,72654608,72719586,72723529,72790558,72894561,72953969,73073168,73091092,73482598,73581015,73589721,73810081,73885398,74144121,74358365,74627961,74842889,75140068,75346803,75478824,75592113,75786161,75822233,76003881,76491181,76819095,77029521,77323174,77514867,77670329,77697958,78470038,78486416,78659313,78756958,78929601,79200833,79276140,79334313,79435030,79445734,79533433,79549767,79738161,80273233,80279933,80688531,80707181,80963128,80982228,80983981,81034420,81283732,81429161,81554875,81677913,81679252,81736434,81922610,81940368,82076721,82137272,82207314,82248121,82284593,82654840,82964161,82986540,83074774,83205094,83527638,83663313,83668630,83706845,84005214,84055348,84239969,84343753,84552701,84554740,84561216,84819238,84868098,84913677,85232730,85244765,85275382,85301313,85942488,86011565,86123028,86346761,86665641,86703814,86861598,87483940,87700433,87922265,88076233,88211913,88288372,88297218,88375361,88518976,88590383,88641721,88733476,88788201,88848761,89114014,89186941,89230038,89489913,89553561,89698575,89806198,89866595,90442113,90651961,90767014,90770801,90817414,90856318,90914912,91083519,91447671,91512292,91659358,91716665,91924132,92081830,92169903,92182914,92210932,92330313,92404431,92427593,92500774,92681321,92986695,93261961,93304468,93515001,93825321,94070593,94485281,94726265,95131368,95322036,95405302,95411921,95667838,95678480,96057775,96261430,96337769,96408321,96564641,96652113,96685299,96909112,97199241,97241304,97865850,97928230,98227401,98307132,98455865,98578420,98768913,98793500,99008961,99185808,99583848,...,22111093024672487118070827426131292868383677222500726701342745042079942972577587263802882593176152609542487550129654081136807016833952265952167407895639825139046532418198381670636902482687923681210871811275101844465062292133824512755351157788509435961506788760389219902845324728257876336148317133376330725324660620120712156432429736130649522157505871239151182448143116062566213006890064987812472541715341991504178237249531912521868267790404277749923275116513718081394806145481362099877463502592515680566612266266016196794228753552582405919796391481498937279423721659197608072466907543396391138779084779389857015631076690404889819707544999757346740623979243224052739785433110166761745246694519086301188902995059248579650974988105094914730270047775519489011080347745296855202567206514929857786864523871167469708874018537416217440045780913714033600823296855742681415599949570812920403891090860029396686317631129630150967506257341309144416875446223064438122711715896735420242196262008679634807294455547285394435402093691992827249787754855951275845486440137318821863958820841238711922687739883271415431308890303595124790936680960910498603186162250575669755709187521763389551634620027249229300140959948085663565315736719786992504805139025492885942230516318790284295126738388541641037246350058437337625249144306692362920750300177759002363361644765109630799448647690547442703803909337298721041056519484124492668670798239001661813302328952589040430032366986305176793107370855324088381366669869400458878485858557231230390299547638686754948883797709625620039971302222474232509911214208726575867168337086690992478547903811003155815959796102485877729479680796700629263624622349879825416676955006955832654328860450541624960354644732752700645942262312029933006561734357141149935275753615849067203662736048225256885544718142863220167320669893764941595816730008308020603002121194394765748171435808523180550382039856724120271035444412859699758029447292871938066149362073604005911085249677095913283608987747533895741015205838057289350794798881481148513108852721236679661026437975264603888373147143918775727803058616126945822799612409503772070049320101637591630808901163233054788598402066805919470495122248851173994071004455176530885822020353405253446361675394399259730530162102922173769823342429311505145858144207781639880897494570486706633721678884080633703730540965761442345171017940156304747571557397914569545740544498725756791869334051763}
15232   746814708938478547868559238089189538820243199278558524198763630: {76135,91362,395642,669548,895207,942338,1076431,1124282,1257367,1306082,1528231,1597785,1704304,1763084,1902125,1917342,1978231,2247367,2282550,2434720,2490668,2694487,2739060,2921664,3286872,3296378,3697731,3936847,4063148,4195298,4201231,4377127,4732922,4787084,5252287,5389484,5773927,5870828,5947231,5982338,6206647,6433352,6471788,6637567,6809431,7064745,7066687,7237521,7237831,7341117,7494007,7535728,7671308,8258647,8269868,8428785,8460002,8477694,8680927,8739425,8765167,8990704,9106508,9162722,9252537,9352831,9529773,9936967,10060748,10076937,10114542,10487310,10765327,10777544,11014925,11186464,11257058,11668207,11831431,11844428,12123578,12124737,12400447,12584772,12674348,12814202,13046431,13217910,13287487,13628121,13674242,14006767,14099104,14150269,14211065,14701538,14722017,15536301,15861492,16063202,16207231,16213388,16565708,16594231,16800428,16909562,17053278,17133007,17176497,17584058,17971784,17980417,18124231,18351247,19028407,19219145,19421241,19593722,19723628,19773967,19910157,19996231,20073068,20214670,20218257,20229869,20365231,20732431,20771084,20833352,20878807,21087362,21243487,21351884,21606367,21747458,21953885,21967447,22039447,22241018,23062974,23069053,23110807,23120525,23223417,23361945,23387618,23393767,23437521,23551628,23713922,23782508,23876858,24223265,24257604,24305431,24919408,24959585,25321534,25336802,25342231,25445121,25510028,25686310,25981922,26160007,26268697,26344662,26387277,26497687,26543084,26785082,27001388,27230348,27234247,27367231,27646925,27698431,27744630,27896287,28034334,28697978,28715468,28878100,28943468,29067918,29331002,29455807,29594272,29690585,29839207,29951502,30093367,30156727,30428398,30746882,30776264,30823572,30911431,31036207,31222831,31252001,31307465,31413425,31684322,31999857,32071641,32187464,32268127,32632087,32752831,32955790,33053431,33176310,33293556,33379021,33471247,33476588,33697658,33767527,34120687,34140345,34237831,34245022,34354687,34465538,34623297,34653720,34992247,35051084,35163308,35388064,35499788,35628702,35656550,35791087,35847607,35884145,36142202,36173620,36210897,36353047,36408847,36416368,36824145,36898562,36963968,37455367,37509727,37526710,37568958,37645265,37696110,37780447,38180525,38377549,38422831,38687431,38699138,38950231,38985435,39279088,39294722,39366967,39404108,39467373,39546948,39573607,39584337,39625087,39811572,40180268,40209184,40436045,40478978,40639567,40968414,41175884,41304104,41332567,41515341,41584464,42238082,42265421,42383738,42698024,42787860,42829484,43060974,43142431,43161454,43408344,43469140,43514745,43543802,43601431,43692367,43918447,43972985,44027277,44053231,44188974,44276431,44454718,44724950,44848327,45032052,45065047,45123842,45174318,45235332,45450607,45478952,45640384,45816630,45836282,45913927,46006028,46415728,46467117,46531687,46637097,46659884,46693687,46734007,46782522,46894567,47007142,47079700,47133065,47163417,47250362,47312588,47330167,47486407,47516145,47638508,47719085,47901161,47986231,48035277,48091898,48250327,48279473,48289484,48402321,48436807,48523254,48765457,48834387,48871072,48921460,49067138,49164727,49342207,49371884,49423025,49517887,49691767,50067967,50558828,50566927,50683888,50729647,50794231,50858527,50881868,51018007,51163821,51207007,51269431,51345432,51362527,51406202,51424231,51494212,51577231,51668167,51676600,51937087,51956588,52025431,52162968,52169001,52217694,52229645,52390952,52413425,52653487,52673073,52681207,52767582,53008231,53061727,53088367,53166818,53272831,53453767,53669940,53778950,54091745,54096428,54104762,54163545,54305527,54374431,54487831,54709231,54752647,54770402,54825070,54923431,54979956,55139624,55191127,55427431,55484887,55692908,55824065,55827938,55921207,55959482,56006887,56057431,56146925,56172847,56189047,56268967,56362497,56487574,56495640,56510504,56559678,56641567,56737831,56869231,56894647,56907247,57019374,57087607,57144127,57198847,57247936,57262902,57342487,57436447,57445447,57571807,57625231,57639847,57746407,57758431,57763611,57774448,57785978,57787231,57824527,57892567,57922231,57932167,57995887,57997831,58000207,58002367,58002727,58021388,58136175,58431458,58548428,58603069,58683339,58705752,58939821,59245352,59307630,59600108,59711618,59748185,59927624,60262016,60289341,60346298,60543884,61103162,61267533,61354298,61659220,61872041,62011920,62032077,62104785,62675574,62818550,62896110,62972642,62985057,63096122,63246381,63261472,63506740,63557595,63572782,63574317,63939022,64219857,64403928,64534740,64910094,64996254,65365064,65535482,65770265,65790084,65842988,66016442,66043971,66146048,66245104,66614402,66651021,66718664,66988878,67089184,67153060,67208762,67327202,67332950,67376310,67418577,67445498,67693865,67794768,67917242,67929521,68034818,68134893,68205548,68430230,68675614,68744744,68819084,68837056,68921228,69418952,69550202,69763410,69887800,69987597,70092584,70585058,70699322,70842737,71169156,71268482,71697822,71773025,71868064,71870113,72274028,72306177,72322985,72454419,72507962,72778988,73484588,73535697,73563160,73730018,73786508,73991064,74414304,74525742,74607842,74971145,75058497,75199677,75253785,75382260,75475332,75584378,76208088,76269114,76655738,76708833,76762082,77337837,77387084,77441688,77454104,78026978,78031041,78096321,78235778,78547565,78623775,78797384,78854157,78858722,78875084,78924318,79369484,79462952,79476482,79550548,79764428,80270704,80292098,80342673,80407744,80583672,80799540,80851572,80946188,81232638,81338765,81631745,81732417,82093538,82116276,82290818,82319084,82526158,82585658,82758555,82781498,83067693,83091345,83239947,83716092,83718670,83865360,83880428,83944442,84327482,84422882,84755084,84795473,84910145,85086141,85239884,85354550,85734099,85743362,85836602,85872201,85929698,86127630,86186176,86207084,86761082,86787582,87121899,87135867,87264502,87267308,87580802,87651884,87957881,87984785,88031162,88084600,88275792,88294785,88388630,88630768,88647057,88655618,88693197,88782477,88832738,88993868,89009282,89062737,89395821,89456384,89523425,89965374,90304542,90458712,90566465,90656631,90657722,90818260,91251938,91341460,91363865,91420418,91787757,91858137,91869472,91963553,92088578,93235682,93638522,93822513,93911293,93923468,93925085,94181104,94257078,94281261,94348530,94354562,94512098,94767884,94825442,95594356,95609708,95691921,95827898,96076268,96565544,96657122,96702221,96806018,96959448,97192748,97243757,97395842,97606518,97687298,97832162,97958094,98108020,98119628,98513864,98547842,98858828,99095175,99310266,99318458,99468334,99503948,99709614,...,29481457366229982824094436568175057157844902963334302268456993389439923963436783018403843457568203479389983400172872108182409355778603021269556543860853100185395376557597842227515869976917231574947829081700135792620083056178432683673801543718012581282009051680518959870460432971010501781531089511168440967099547493494282875243239648174199362876674494985534909930857488083421617342520086650416630055620455988672237649666042550029157690387205703666564366822018290775193074860641816133169951336790020907422149688354688262392305004736776541226395188641998583039231628878930144096622543391195188185038779705853142687508102253873186426276726666343128987498638990965403653047244146889015660328926025448401585203993412331439534633317473459886307026730367359318681440463660395806936756275353239810382486031828223292945165358049888289920061041218285378134431062474323575220799932761083893871854787813372528915090174839506867956675009788412192555833928297419250830282287862313893656261682678239513076392607396380525913869458255990436333050339807935034460648586849758429151945094454984949230250319844361887241745187071460166387915574614547331470914883000767559674278916695684519402179493369665639066854613264114218087087648959715990006406852033990514589640688425053712393502317851388854716328466744583116833665525742256483894333733570345336484482193020146174399264863587396590271738545783064961388075359312165990224894397652002215751069771936785387240043155981740235724143161140432117841822226492533945171314478076308307187066063518249006598511730279500826719961736296632310013214952278302101156224449448921323304730538414670874421279728136647836972639574395600839018166163133173100555569273342607776872438480600722166613806192977003600861256349749373244008748979142854866580367671487798756271550314730967009180726290857150960223094226525019922127755640011077360804002828259193020997561914411364240733842719808965493694713925883812933010705929723829250754865816098138674548113666236127884378145316996711860988020274450743052467726398508641531350811803628315572881368583967019471851164196191891700970404078154835927763732816546005029426732426802183455507745201550977406384797869422407892627326829665134898658761339273568707847762693804540337928482233859199012974040216137229565026431123239082006861144192277042186507863326093982275511628905178774178271640721287681923126894690586875072996762076530552759394320725998301009055825778735684}
15233   750169660612482816845305647832199690049648017928793340364572686: {15233,121816,137043,593463,836935,1004322,1413507,1491266,1686423,1959123,2130380,2203855,2556456,2644626,2876013,3043400,3113335,3423825,3652080,3736002,3845347,3895552,4108590,4382496,4392511,4846567,4930308,4944567,5078935,5629183,5940463,5983855,6094722,6292947,6593762,6736855,7099383,7180626,7338535,7487191,7508306,7866866,8033923,8041690,8084226,8089735,8806242,8973507,9270703,9419660,9430351,9589135,9650028,9707682,9788156,10173031,10337335,10969346,11091463,11238380,11303592,11383135,11506962,11628487,11819767,12164647,12240722,12336716,12404802,12575935,12690003,12706364,12716541,12912223,13435916,13471930,13486056,13640527,13659762,13744083,13821907,13982527,13983080,14805535,15091122,15171813,15267127,15688882,15725311,15730965,15842935,16166316,16332823,16779696,16799431,16885587,17254711,17506567,17623880,17766642,18170828,18185367,18229183,18877158,18905767,19011522,19221303,19269631,19629356,19678978,19826865,20266735,20328991,20511363,20707135,20715068,21000535,21148656,21151162,21254047,21746131,21804482,22052307,22192183,22464730,22737704,22901996,23061907,23662738,23792238,23861587,24094803,24320082,24654535,24704647,24721987,24848562,24889807,25091335,25200642,25364343,25415023,25520986,25579917,25894988,25963855,26041690,26344111,26376087,26546876,26689855,26707687,26862823,26929231,26957676,27320122,27493027,27640162,27993271,28164031,29390583,29411191,29439535,29585442,29626498,29728135,30109602,30322005,30712531,30750632,30952687,30964556,31095506,31149260,31156626,31250028,31580131,31631043,31864322,31887535,32027826,32032327,32343472,32421847,32621187,32680063,32778082,32897047,33044071,33178855,33303331,33361527,33442051,33751735,33926828,34037935,34369202,34497223,34594461,35081427,35126216,35183036,35327442,35570883,35626951,35673762,35788483,35815287,35894335,36052858,36097625,36141091,36179335,36386406,36396247,36992840,37360771,37379112,37541587,37556002,37842631,37858207,37982301,38005203,38135162,38265042,38387347,38470330,38529465,38757224,38972883,39245431,39390307,39516993,39794083,39814626,39935336,40177623,40234330,40502082,40613762,40845522,41098096,41114386,41616945,41711863,41845735,41995586,42051501,42495991,42666476,42699682,42762188,43046967,43073202,43317150,43415202,43601877,43813855,43954135,43996503,44017231,44057443,44235080,44348402,44374735,44391408,44568931,44927253,45106687,45217025,45460162,45520460,45642597,45842083,46120323,46164396,46204960,46235358,46505107,46568026,47281231,47283367,47495023,47504936,47526483,48116167,48247171,48281196,48843847,49098860,49255135,49433685,49437442,49446691,49453207,49747351,49764465,49830482,49940334,50091944,50214882,50225335,50261480,50546487,50552642,50802511,50930938,51137983,51367533,51469855,51614047,51630130,51698307,51839683,51980580,52283647,52436671,52576626,52623164,52729264,52744962,52779116,53082096,53249682,53372530,53443053,53484825,53536855,53916883,54213303,54218131,54260430,54336425,54356383,54572167,54624552,54959266,55304722,55347843,55353788,55445952,55528591,56092291,56208631,56290065,56353437,56544165,56848690,57050480,57194431,57255698,57262327,57414632,57507535,57736327,57791527,57877792,57964466,58018042,58019660,58048707,58324855,58378831,58448983,58703036,58849625,58918632,58942083,59106162,59140735,59320422,59347663,59548135,59717358,59717971,60042736,60151651,60232424,60270402,60313776,60361855,60718467,60741583,61088840,61151825,61331011,61452621,61479002,61714855,61763826,61880467,61882627,61956156,62182796,62309458,62376696,62491831,62884556,63062023,63198535,63227887,63354860,63357123,63575607,63602335,64047036,64181790,64244226,64367765,64536428,64591461,64595750,64697672,64742181,64945735,65040007,65112516,65203710,65315703,65375431,65402431,65488690,65785402,65917087,66283461,66643687,66660463,66682077,66875266,67087425,67179682,67405927,67548078,67620535,67685763,67761477,67772341,67852998,68023903,68218428,68224663,68352631,68460576,68724945,68754423,68924530,68947711,69009042,69396883,69529807,69530083,69550624,69558668,69616135,69623592,69989826,70173783,70187122,70228666,70230764,70236866,70347751,70356776,70510713,70619550,70638130,70875543,70968882,71184247,71387107,71457762,71559920,72018067,72137847,72218060,72434226,72526735,72784881,73016803,73035031,73185535,73203778,73259143,73306608,73382190,73600707,73900627,74056690,74057826,74062658,74327122,74331463,74500135,74710147,74909530,75000367,75149996,75167587,75327520,75382642,75410527,75412904,75679855,75838242,76025832,76073731,76322802,76350536,77018148,77074025,77109303,77239471,77241318,77514900,77541703,77551922,77934882,78226243,78244452,78274336,78326541,78586428,79076840,79151373,79383425,79562131,79615586,79750227,80052703,80385788,80504910,80668425,80814547,80892631,81144642,81157143,81683642,81690044,81706330,81885607,82155603,82237605,82303735,82305343,82378087,82408466,82469934,82658818,82682560,82709436,82806380,82973167,83157007,83398330,83539362,83567432,83741907,83861480,83876563,83939223,83941325,83980076,84328508,84494851,84563347,84600547,84731361,84743460,84765756,84839517,85241791,85256935,85478983,85529061,85626476,85787047,85871904,85894353,85930930,86023855,86046320,86151535,86199631,86218327,86285671,86420018,86541202,86546792,86661672,86678967,86773690,87032082,87127202,87359750,87615730,87647187,87712231,87720112,87822642,88058628,88205911,88450687,88461658,88480018,88677223,88868028,88961445,89318504,89400162,89565463,89567427,89724631,89820007,89835080,89891436,89904151,90342535,90393024,90414403,90519447,90815826,90846524,90854002,90973735,91351543,91654743,91713127,91792207,91855735,91953950,92031447,92233135,92352898,92488830,93017880,93114787,93316796,94013361,94119463,94227825,94344165,94458963,94479266,94644183,94892208,95246287,95260110,95359173,95424967,95597096,95908533,96234463,96408236,96486127,96605892,96659431,96733855,96802110,96817630,97365141,97448911,97494381,98006083,98018131,98047596,98050951,98303223,98496730,98593855,98654752,98685126,98764482,99012781,99024663,99211855,99219072,99328690,99367656,99438185,99457591,99556327,99705535,99921603,...,44222186049344974236141654852262585736767354445001453402685490084159885945155174527605765186352305219084975100259308162273614033667904531904334815791279650278093064836396763341273804965375847362421743622550203688930124584267649025510702315577018871923013577520778439805690649456515752672296634266752661450649321240241424312864859472261299044315011742478302364896286232125132426013780129975624945083430683983008356474499063825043736535580808555499846550233027436162789612290962724199754927005185031361133224532532032393588457507105164811839592782962997874558847443318395216144933815086792782277558169558779714031262153380809779639415089999514693481247958486448105479570866220333523490493389038172602377805990118497159301949976210189829460540095551038978022160695490593710405134413029859715573729047742334939417748037074832434880091561827428067201646593711485362831199899141625840807782181720058793372635262259260301935012514682618288833750892446128876245423431793470840484392524017359269614588911094570788870804187383985654499575509711902551690972880274637643727917641682477423845375479766542830862617780607190249581873361921820997206372324501151339511418375043526779103269240054498458600281919896171327130631473439573985009610278050985771884461032637580568590253476777083282074492700116874675250498288613384725841500600355518004726723289530219261598897295381094885407607818674597442082113038968248985337341596478003323626604657905178080860064733972610353586214741710648176762733339738800917756971717114462460780599095277373509897767595419251240079942604444948465019822428417453151734336674173381984957095807622006311631919592204971755458959361593401258527249244699759650833353910013911665308657720901083249920709289465505401291884524624059866013123468714282299870551507231698134407325472096450513771089436285726440334641339787529883191633460016616041206004242388789531496342871617046361100764079713448240542070888825719399516058894585743876132298724147208011822170499354191826567217975495067791482030411676114578701589597762962297026217705442473359322052875950529207776746294287837551455606117232253891645599224819007544140098640203275183261617802326466109577196804133611838940990244497702347988142008910353061771644040706810506892723350788798519461060324205844347539646684858623010291716288415563279761794989140973413267443357768161267407461081931522884690342035880312609495143114795829139091481088997451513583738668103526}
15234   753539563681792392566109724041888041057919988198688788727997855: {106589,152270,182724,258689,622913,713789,791284,925553,1106753,1339096,1468289,1506483,1558493,1708673,1790414,1884676,1918589,2152862,2236899,2248564,2277533,2367089,2514734,2605553,2612164,2662975,2724593,3056462,3195570,3408608,3526168,3760733,3804250,3834684,3956462,3966939,4143089,4231133,4494734,4565100,4641053,4869440,4981336,5020289,5165789,5388974,5456189,5478120,5604003,5687933,5843328,6162885,6236273,6573744,6592756,6838973,6896189,7181789,7395462,7409693,7665473,7873694,8126296,8390596,8402462,8457089,8754254,8794433,8878589,8962673,9142083,9354113,9382013,9465844,9574168,9799553,9855089,9890643,9938333,10049213,10187633,10504574,10770939,10778968,11178353,11262459,11369789,11506289,11547854,11697053,11741656,11774575,11800299,11860253,11894462,11914589,11964676,12062535,12126339,12235195,12413294,12725789,12866704,12943576,12994589,13048253,13209363,13275134,13449713,13609793,13618862,14008733,14047975,14114813,14129490,14133374,14405873,14475042,14475662,14561523,14682234,14988014,15037553,15071456,15342616,15420895,15430013,15882955,16209533,16235393,16364573,16454019,16517294,16539736,16794895,16853633,16857570,16920004,16955388,17135453,17260443,17314289,17361854,17478850,17530334,17981408,18126833,18152093,18213016,18325444,18361083,18379073,18454589,18505074,18607203,18705662,18881153,19059546,19702589,19873934,19895491,20023793,20121496,20153874,20207895,20229084,20245373,20392733,20489643,20735453,20881853,20974620,21125213,21246593,21530654,21555088,21826433,21898589,22029850,22066673,22258289,22372928,22497089,22514116,22616189,22636683,22713535,22972289,23255873,23336414,23533323,23561789,23662862,23688856,23908027,23913089,23983133,24247156,24249474,24448253,24536695,24800894,24956189,25169544,25348696,25414589,25628404,25893835,26092862,26389313,26435820,26574974,26649963,26658689,26906803,27171773,27256242,27348484,27393533,27437789,27724673,27922493,28013534,28032113,28198208,28300538,28315737,28422130,28517283,28627495,29224733,29396189,29403076,29444034,29518467,29545793,29673713,29865053,30182513,30602993,30728513,30735439,30916253,31072602,31599089,31722984,31726743,32049473,32126404,32151293,32368735,32414462,32426776,32706723,32778113,33058673,33131416,33178433,33183595,33188462,33417089,33600856,33697095,33713789,33772913,33819124,33910589,33912571,34106556,34145693,34266014,34352994,34593089,34786289,34824833,34928707,34943419,35132033,35168116,35227613,35361089,35399153,35494107,35645789,35688357,35943568,35960834,36248462,36265793,36303089,36433373,36480123,36702494,36913853,36934183,37042289,37272843,37800963,37804673,37948289,38056814,38180573,38281479,38429213,38438290,38705695,38842482,38936575,38974193,39062535,39187444,39390833,39442589,39447256,39547934,39648893,39785789,39820314,39990173,39992462,40146136,40294589,40345073,40429340,40436514,40459738,40512833,40713089,40730462,40980183,40994813,41208689,41339633,41460243,41464862,41535089,41542168,41566819,41666704,41757614,41986673,42018689,42174724,42178289,42408535,42486974,42703768,43196189,43212734,43426289,43494916,43624253,43830451,43835933,43907770,43934894,43978795,44060993,44078894,44328689,44373053,44378163,44439747,44482036,44549789,45087473,45164403,45345089,45458753,46125948,46138106,46185089,46221614,46241050,46446834,46553693,46621313,46643259,46723890,46734939,46755953,46775236,46787534,46875042,46996289,47103256,47427844,47495153,47565016,47650289,47753716,47796483,48041739,48070973,48184193,48445853,48446530,48515208,48593789,48610862,48716189,48813533,48934493,49042673,49138289,49167123,49527293,49631873,49701233,49838816,49919170,49950043,50088833,50237803,50511089,50643068,50652893,50673604,50684462,50804093,50814833,50890242,50996189,51020056,51101789,51227453,51289853,51372620,51553803,51688433,51963844,52016189,52162289,52306589,52320014,52467953,52537394,52664093,52689324,52703371,52774554,52802033,52865789,52883933,52991163,52995374,53086168,53178689,53240093,53292413,53333095,53452735,53510643,53541233,53570164,53775089,53840753,53914013,53959411,54002776,54079287,54137789,54278333,54347633,54460696,54468494,54484289,54506813,54579609,54720833,54734462,54764273,54793073,54871613,54921089,55060289,55149053,55249793,55293850,55396862,55426589,55489260,55553789,55572593,55634753,55720433,55792574,55810493,55846013,56068668,56069873,56185373,56206973,56286833,56313053,56334003,56456189,56471153,56530289,56602589,56610463,56659133,56709953,56728193,56817473,56886593,56900575,56924573,56998589,57057559,57058289,57089393,57104753,57161213,57202743,57237233,57336413,57356093,57395956,57397563,57430936,57441089,57462173,57528689,57569789,57588353,57601373,57626813,57634289,57639233,57653873,57689213,57705495,57756200,57886936,57907133,57916289,57922589,57938033,57947933,57968513,57976253,57978689,57999089,58000193,58006589,58008689,58013789,58015553,58018013,58135836,58662004,58911614,59188544,59381170,59678414,59721939,59903004,60186734,60313454,60351495,60753123,60856796,60920643,61268283,61373575,61493764,61552528,61562179,61647144,61671579,61822862,62072414,62445662,62504002,62614930,62826850,62993379,63368644,63999714,64049523,64143282,64374928,64536254,64609803,64975725,65122803,65264174,65505662,65778955,65911580,65973895,65986291,66106862,66352620,66522603,66587112,66758042,66806719,66942494,66953176,67395316,67535054,68190243,68241374,68280690,68475662,68490044,68709374,68931076,69192235,69246594,69307440,69353037,69852039,69984494,70102168,70326616,70776128,70999576,71257404,71313100,71582174,71695214,71768290,72284404,72347240,72421794,72524575,72706094,72817694,72832736,73121503,73378795,73648290,73797124,73927936,74156163,74745723,74910501,74910734,75019454,75053420,75137916,75290530,75322323,75392220,75560894,75728443,75828963,76361050,76396407,76755098,76845662,77374862,77398276,77445195,77728495,77900462,77970870,78153691,78558176,78589444,78605695,78733934,78808216,78864939,78934746,79093896,79117443,79147214,79168674,79193575,79250174,79623144,79874523,80058795,80280343,80360536,80418368,80670535,80872090,80957956,81279134,81390645,81936828,82351768,82438899,82608208,82665134,82957083,83030682,83168928,83647459,84476164,84530842,84767476,85273035,85396048,85575720,85658968,85883547,86121948,86284862,86322908,86816688,86938280,86946699,86948335,87027063,87029490,87087604,87202862,87384734,87788455,87836894,87945970,88054554,88106462,88377948,88552862,88659243,88909436,88980633,89449900,89576037,89696654,90064104,90130094,90247684,90272575,90348636,90405603,90470664,90901214,90957904,91280768,91633260,91672564,91827854,92012056,92078371,92218503,92645739,92831456,92934234,93063374,93274194,93319768,93387374,93464187,93468014,93565044,93789134,93937495,94014284,94159400,94266130,94326834,94500724,94625176,94660334,94771411,94972814,95032290,95277016,95438170,95802322,95972462,96070554,96183796,96272685,96366339,96500654,96558946,96578968,96804642,96873614,96893625,97046508,97530914,97668774,97742144,97805565,97842920,98134276,98233035,98305867,98329454,98678103,98684414,98743768,98846050,99035774,99383534,...,66333279074017461354212482278393878605151031667502180104028235126239828917732761791408647779528457828627462650388962243410421050501856797856502223686919475417139597254595145011910707448063771043632615433825305533395186876401473538266053473365528307884520366281167659708535974184773629008444951400128992175973981860362136469297289208391948566472517613717453547344429348187698639020670194963437417625146025974512534711748595737565604803371212833249769825349541154244184418436444086299632390507777547041699836798798048590382686260657747217759389174444496811838271164977592824217400722630189173416337254338169571046893230071214669459122634999272040221871937729672158219356299330500285235740083557258903566708985177745738952924964315284744190810143326558467033241043235890565607701619544789573360593571613502409126622055612248652320137342741142100802469890567228044246799848712438761211673272580088190058952893388890452902518772023927433250626338669193314368135147690206260726588786026038904421883366641856183306206281075978481749363264567853827536459320411956465591876462523716135768063219649814246293926670910785374372810042882731495809558486751727009267127562565290168654903860081747687900422879844256990695947210159360977514415417076478657826691548956370852885380215165624923111739050175312012875747432920077088762250900533277007090084934295328892398345943071642328111411728011896163123169558452373478006012394717004985439906986857767121290097100958915530379322112565972265144100009608201376635457575671693691170898642916060264846651393128876860119913906667422697529733642626179727601505011260072977435643711433009467447879388307457633188439042390101887790873867049639476250030865020867497962986581351624874881063934198258101937826786936089799019685203071423449805827260847547201610988208144675770656634154428589660501962009681294824787450190024924061809006363583184297244514307425569541651146119570172360813106333238579099274088341878615814198448086220812017733255749031287739850826963242601687223045617514171868052384396644443445539326558163710038983079313925793811665119441431756327183409175848380837468398837228511316210147960304912774892426703489699164365795206200417758411485366746553521982213013365529592657466061060215760339085026183197779191590486308766521309470027287934515437574432623344919642692483711460119901165036652241901111191622897284327035513053820468914242714672193743708637221633496177270375608002155289}
15235   756924484245482036092056738372028983959494095736419349628290240: {30466,228405,243632,274086,989105,1171709,1186926,1673870,2008644,2355845,2685621,2810705,2827014,2982532,3085397,3229293,3265205,3372846,3772101,3918246,4260760,4358669,4407710,4544501,4584693,4793355,4909277,5112912,5180813,5289252,5706375,5727761,5752026,5934693,6086800,6181109,6226670,6639341,6742101,6847650,7110509,7304160,7472004,7690694,7791104,8003549,8083461,8217180,8240945,8368037,8377397,8764992,8785022,9431597,9693134,9860616,9889134,10157870,10273949,10488245,11093193,11258366,11325629,11810541,11832305,11880926,11967710,12022673,12189444,12396341,12585894,12603693,13131381,13187524,13424789,13473710,14198766,14361252,14376401,14472269,14581253,14677070,14955845,14974382,15016612,15733732,15756861,15936389,16067846,16083380,16168452,16179470,16334981,17132093,17321781,17606309,17612484,17841693,17947014,18541406,18619941,18839320,18860702,19178270,19284677,19300056,19415364,19576312,19853873,19912701,20209613,20331677,20346062,20428293,20674670,20727749,20755409,21150005,21194235,21200061,21712563,21713493,21938692,22023351,22180109,22182926,22476760,22482021,22607184,22720637,22766270,22906805,23013924,23256974,23639534,24329294,24481444,24673432,24775941,24809604,24934529,25036253,25151870,25286355,25380006,25412728,25418381,25433082,25699973,25824446,26042781,26218275,26295501,26871832,26943860,26972112,27004373,27254981,27281054,27319524,27488166,27643814,27757611,27965054,27966160,28010501,28058493,28142645,28373429,28589319,28989989,29196401,29400749,29415077,29611070,29810901,30182244,30230811,30308945,30343626,30534254,31286597,31377764,31439549,31450622,31461930,31685870,31910813,32035505,32295981,32332632,32581469,32665646,33044775,33048437,33559392,33598862,33771174,34164209,34185605,34241453,34501781,34509422,34516349,34845173,35004621,35013134,35127869,35247760,35494293,35533284,36341656,36349397,36370734,36374211,36458366,36753845,37201341,37321973,37365797,37509749,37754316,37811534,38023044,38442606,38539262,38906333,39139293,39258712,39357956,39653730,39688613,39719933,39818357,39862461,40158005,40197809,40533470,40657982,40884363,41022726,41215349,41414270,41430136,41619389,42001070,42020301,42273905,42297312,42302324,42450807,42508094,42633195,43492262,43608964,43960145,44104614,44166051,44384366,44642549,44929460,45257153,45426749,45475408,45543509,45803992,46123814,46164413,46450397,46552181,46608903,46619141,47252429,47325476,47584476,47616029,47653109,47723174,48188381,48189606,48217493,48621693,48640164,48886193,48984305,49309070,49409294,49443974,49697124,49779614,49782693,50182670,50252069,50401284,50536675,50651069,50728686,50830046,51041972,51159834,51399021,51529491,51789976,51927710,52083380,52306853,52672373,52688222,52718405,52752174,52863773,53093752,53379710,53415374,53725646,53858462,53915352,53941251,54197489,54368645,54372693,54640244,54960581,54986054,55053741,55186109,55280324,55602545,55986542,56328062,56779277,56864561,57085221,57657435,58263723,58469045,58584029,58781166,58822382,58879070,59170884,59252996,59284805,59321901,59358149,59456270,59692145,59730471,59745269,59988693,60219204,60644010,60654771,60689607,60933653,61095693,61211453,61339397,61425062,61501264,61535789,61742309,61905374,61929112,62124629,62191012,62197293,62298520,62313252,62500056,62574053,62636421,63160262,63262086,63303835,63342005,63728644,63729293,63730461,63775070,64055652,64064654,64075973,64215775,64686944,64749509,64819101,64843694,64954805,65242374,65360126,65540213,65556164,65794094,65861655,65902341,66088142,66118341,66329741,66357710,66606662,66723054,66884102,66962705,67244753,67503470,67788389,67853656,68075870,68233841,68714501,68738404,68799869,68860829,68957189,68994446,69188922,69207159,69332421,69361575,69670251,70085835,70162854,70181301,70252432,70312563,70315469,70366072,70463093,70654884,70694021,71141766,71253902,71347524,71576966,71630574,71744945,71788670,72057797,72105716,72195250,72282182,72358670,72669795,72772812,72792494,72916293,73131461,73327505,73985680,74233709,74721542,74758224,74878755,74951597,75083174,75112004,75685262,75716414,75964602,76010406,76026693,76070995,76270324,76335363,76344209,76394117,76405733,76530084,76774694,76867205,76940660,77058930,77261873,77514448,77945766,78216653,78480021,78490862,78623957,78760721,78780614,78806091,78915461,78946109,79033986,79161831,79210805,79493061,79588166,79629252,79870672,80355246,80468660,80510549,80611253,81004164,81227524,81654797,81691044,81702741,82101693,82196192,82228772,82389475,82797029,82940775,83076341,83095293,83233890,83367389,83423726,83688861,83691470,83769149,83991172,84027761,84103002,84244145,84366581,84506597,84838613,84991982,85112261,85332952,85399364,85524376,85612555,86093934,86146404,86163845,86400797,86634300,86830404,86983661,87076721,87203754,87378533,87627710,87908270,87993006,88034462,88114886,88217777,88367421,88470160,88477949,88696804,88749470,88782816,88834421,88891973,89043269,89071755,89137862,89141375,89210609,89517621,89854506,89899109,89971781,90114871,90213374,90280101,90355505,90434050,90470181,90920324,90924029,91040920,91285194,91598621,91684166,92035493,92240646,92246405,92328792,92409920,92470716,92655389,92734293,92864753,92876549,93010214,93108621,93136052,93668493,93756003,93816775,93922395,94027973,94095557,94240275,94562462,94566734,94668749,94990046,95009872,95052966,95270237,95508101,95999571,96214923,96232334,96494342,96562392,96747845,96804381,96895061,97172861,97355921,97462589,97687694,97896261,97929281,98031317,98197720,98236805,98258493,98510270,98583077,98833661,98867370,98874884,98893382,98906414,99160293,99494702,99528930,99660964,99880668,99938501,...,88444372098689948472283309704525171473534708890002906805370980168319771890310349055211530372704610438169950200518616324547228067335809063808669631582559300556186129672793526682547609930751694724843487245100407377860249168535298051021404631154037743846027155041556879611381298913031505344593268533505322901298642480482848625729718944522598088630023484956604729792572464250264852027560259951249890166861367966016712948998127650087473071161617110999693100466054872325579224581925448399509854010370062722266449065064064787176915014210329623679185565925995749117694886636790432289867630173585564555116339117559428062524306761619559278830179999029386962495916972896210959141732440667046980986778076345204755611980236994318603899952420379658921080191102077956044321390981187420810268826059719431147458095484669878835496074149664869760183123654856134403293187422970725662399798283251681615564363440117586745270524518520603870025029365236577667501784892257752490846863586941680968785048034718539229177822189141577741608374767971308999151019423805103381945760549275287455835283364954847690750959533085661725235561214380499163746723843641994412744649002302679022836750087053558206538480108996917200563839792342654261262946879147970019220556101971543768922065275161137180506953554166564148985400233749350500996577226769451683001200711036009453446579060438523197794590762189770815215637349194884164226077936497970674683192956006647253209315810356161720129467945220707172429483421296353525466679477601835513943434228924921561198190554747019795535190838502480159885208889896930039644856834906303468673348346763969914191615244012623263839184409943510917918723186802517054498489399519301666707820027823330617315441802166499841418578931010802583769049248119732026246937428564599741103014463396268814650944192901027542178872571452880669282679575059766383266920033232082412008484777579062992685743234092722201528159426896481084141777651438799032117789171487752264597448294416023644340998708383653134435950990135582964060823352229157403179195525924594052435410884946718644105751901058415553492588575675102911212234464507783291198449638015088280197280406550366523235604652932219154393608267223677881980488995404695976284017820706123543288081413621013785446701577597038922120648411688695079293369717246020583432576831126559523589978281946826534886715536322534814922163863045769380684071760625218990286229591658278182962177994903027167477336207052}
15236   760324488692510059527516324896763625638798082335494121042109694: {45699,213178,289123,304540,365448,411129,517378,562363,653299,1245826,1427578,1468483,1582568,1780389,1851106,2213506,2456899,2510805,2678192,2936578,3012966,3116986,3347899,3417346,3580828,3728165,3769352,3837178,4240521,4305724,4473798,4497128,4555066,4583203,4670899,4734178,5029468,5059269,5195563,5211106,5224328,5325950,5449186,5456923,5877369,6064243,6112924,6391140,6495883,6611565,6754003,6817216,7052336,7353763,7521466,7608500,7669368,7694899,7912924,7933878,8286178,8462266,8628039,8879803,8989468,9130200,9282106,9340005,9383299,9738880,9800899,9962672,10040578,10271475,10331578,10630699,10777948,10912378,10956240,10960603,11208006,11371363,11375866,11536041,11686656,11943403,12325770,12472546,13147488,13177533,13185512,13677946,13792378,14363578,14539701,14750683,14790924,14819386,14833701,15065899,15236805,15330946,15379963,15458299,15747388,15926803,16237699,16252592,16484405,16781192,16804924,16887549,16914178,17129273,17316763,17508508,17588866,17757178,17821389,17925346,17951565,18154699,18284166,18708226,18764026,18770765,18878841,18931688,19148336,19599106,19667165,19710178,19730203,19781286,19876666,19952683,20098426,20104225,20210565,20375266,21009148,21128299,21201163,21298149,21419323,21541878,21557936,21589253,21925843,22015605,22236137,22356706,22461573,22524918,22643323,22739578,22999363,23012578,23095708,23282899,23394106,23483312,23512853,23549150,23600598,23706043,23720506,23788924,23829178,23929352,24101769,24125070,24252678,24269205,24470390,24826588,25451578,25733408,25887152,25989178,26096506,26325763,26418726,26550268,26662723,26899426,26920521,27064699,27219586,27237724,27423365,27464083,27812109,27992563,28017466,28058299,28095950,28229626,28254941,28258980,28266748,28291053,28711699,28767405,28811746,28950084,28951324,29123046,29364468,29422123,29976028,30075106,30142912,30250483,30519093,30601805,30628699,30685232,30841790,30860026,31012005,31191163,31562899,31765910,31798949,32237683,32419066,32470786,32729146,32908038,33023923,33034588,33079472,33274389,33323083,33442243,33589790,33679699,33679825,33707266,33715140,33738883,33840008,33910776,34033723,34149405,34270906,34326763,34351373,34520886,34628578,34723708,34849699,34885461,34957700,35060668,35366803,35459301,35962816,36251369,36253666,36304186,36426032,36493941,36650888,36722166,36758146,36909178,37010148,37214406,37411324,37431403,37727805,37762306,38070009,38119092,38149623,38186899,38400163,38736669,38770603,39222205,39405178,39500899,39747868,39790982,40013899,40047586,40078493,40242992,40307748,40415790,40458168,40490746,40720003,40785466,40921581,40979286,41215723,41232249,41279381,41460883,41465721,41470906,41558443,41763706,41947581,41949240,42233299,42250426,42493186,42753643,42940699,42987283,43061308,43110176,43219123,43403299,43649489,43652866,43797178,43858699,44059700,44133346,44262403,44351323,44416605,44516578,44745856,44994178,45028232,45232378,45273366,45316229,45427070,45515439,45801381,45944578,46027699,46193443,46457033,46511746,46643299,46672828,47004883,47066646,47123578,47175933,47192895,47203243,47325724,47377712,47528805,47816054,47826178,47966266,47978683,48205699,48355603,48392899,48494312,48498948,48615163,48896506,48907483,48998469,49073390,49159483,49197445,49601788,49652899,49860043,49912378,49996699,50339088,50398293,50656761,50662699,50697392,50824699,50829178,51016723,51143299,51256808,51485443,51577243,51764133,51787670,52026523,52172683,52185724,52317043,52519701,52778626,52871640,52877905,53145403,53149948,53198323,53299926,53317378,53329363,53560699,53786203,53813606,54053899,54187973,54312883,54343546,54511205,54512484,54556101,54687549,54696968,54787066,54869083,54875578,55261699,55449346,55534363,55665403,55828699,55844986,56027068,56064226,56104603,56161825,56396416,56408299,56483899,56543083,56601076,56631474,56717301,56844260,56848003,56886883,57011803,57034566,57071563,57140899,57207643,57254990,57353299,57493699,57528403,57586363,57610123,57663909,57684643,57719203,57732523,57808893,57839443,57874723,57893299,57938443,57971923,58014043,58027363,58029163,58449466,58792378,58806152,58888068,59031869,59036934,59091586,59156845,59347426,59371949,59480595,59730106,60307577,60365026,60800205,60986973,61205986,61457026,61470878,61534089,61570313,61832506,62121405,62145204,63001605,63198178,63445968,63453486,63762141,63770213,63802465,64098946,64252808,64302586,64737470,64828924,64853552,65104225,65238393,65413446,65556226,66117346,66156921,66262832,66356866,66367190,66376924,66576549,66834178,67201712,67394190,67427578,67545826,67638248,67821178,67825142,68213112,68291386,68300305,68532028,68705988,69100405,69185721,69186178,69572578,69649666,69857414,69886838,70264066,70336232,70455226,70722178,70798306,70988214,71291578,71376714,71584761,71887136,71921668,72284409,72496924,72531586,72606178,72866746,72960246,73404988,73827706,73868366,73963605,74066245,74084578,74113941,74165961,74545686,74666333,74669421,74833829,75273253,75274005,75601926,75609346,75896578,76093029,76113628,76245069,76361146,76562958,76739751,76858426,76876580,77411390,77684964,77738765,77873150,77891565,77948386,78125070,78374888,78781666,78885178,78894512,79032333,79095868,79128261,79297786,79571578,79640628,79660805,79980346,79984924,80069565,80123061,80292272,80588469,80589178,80690146,80787693,80858680,80873028,80919476,81025666,81426178,81460924,81945205,81960366,81989626,82417378,82479081,82679266,82920486,82929724,83070178,83084336,83133638,83333408,83515228,83973346,83979813,84037378,84349448,84356578,84492093,84817070,84973948,85407536,85923005,86392378,86425468,86852578,86989832,87248506,87660902,87671866,87815540,87869788,87957590,88121986,88157788,88171749,88233573,88318605,88657378,88746106,88756326,88879494,88964072,89099578,89184405,90132145,90174946,90328806,90690178,90917506,90966015,92090537,92137593,92251896,92276212,92363453,92370178,92443228,92482100,92858061,92893668,93107386,93242626,93286518,93447780,93469878,93511906,93550472,93575068,93750084,93890005,93992578,94206512,94740393,94855688,94876769,94893129,94990306,95130032,95300578,95337905,95507432,95592966,95662605,96083478,96096981,96141946,96175825,96368386,96869129,96891706,96893060,97030416,97187578,97221724,97227493,97265541,97432378,97627066,97863561,97868986,98040189,98085346,98276578,98334246,98691141,99054586,99132213,99263746,99402466,99536565,99677632,99838340,99900086,99909993,...,132666558148034922708424964556787757210302063335004360208056470252479657835465523582817295559056915657254925300777924486820842101003713595713004447373838950834279194509190290023821414896127542087265230867650611066790373752802947076532106946731056615769040732562335319417071948369547258016889902800257984351947963720724272938594578416783897132945035227434907094688858696375397278041340389926874835250292051949025069423497191475131209606742425666499539650699082308488368836872888172599264781015555094083399673597596097180765372521315494435518778348888993623676542329955185648434801445260378346832674508676339142093786460142429338918245269998544080443743875459344316438712598661000570471480167114517807133417970355491477905849928630569488381620286653116934066482086471781131215403239089579146721187143227004818253244111224497304640274685482284201604939781134456088493599697424877522423346545160176380117905786777780905805037544047854866501252677338386628736270295380412521453177572052077808843766733283712366612412562151956963498726529135707655072918640823912931183752925047432271536126439299628492587853341821570748745620085765462991619116973503454018534255125130580337309807720163495375800845759688513981391894420318721955028830834152957315653383097912741705770760430331249846223478100350624025751494865840154177524501801066554014180169868590657784796691886143284656222823456023792326246339116904746956012024789434009970879813973715534242580194201917831060758644225131944530288200019216402753270915151343387382341797285832120529693302786257753720239827813334845395059467285252359455203010022520145954871287422866018934895758776614915266376878084780203775581747734099278952500061730041734995925973162703249749762127868396516203875653573872179598039370406142846899611654521695094403221976416289351541313268308857179321003924019362589649574900380049848123618012727166368594489028614851139083302292239140344721626212666477158198548176683757231628396896172441624035466511498062575479701653926485203374446091235028343736104768793288886891078653116327420077966158627851587623330238882863512654366818351696761674936797674457022632420295920609825549784853406979398328731590412400835516822970733493107043964426026731059185314932122120431520678170052366395558383180972617533042618940054575869030875148865246689839285384967422920239802330073304483802222383245794568654071026107640937828485429344387487417274443266992354540751216004310578}
15237   763739643702979464629345864926711657414227490231175480604293731: {60932,319767,380675,456810,487264,548172,776067,1384747,1868739,1978210,2141367,2343418,2373852,2776659,3298183,3320259,3347740,3934987,4017288,4404867,4476035,4519449,4571287,4675479,4711690,5126019,5371242,5382155,5486839,5621410,5654028,5755767,5965064,6122779,6170794,6286835,6458586,6530410,6710697,6745692,6832599,7101267,7304947,7544202,7641155,7816659,7836492,7988925,8173779,8521520,8717338,8815420,8845859,8945143,9089002,9169386,9510625,9586710,9818554,9891155,10225824,10361626,10578504,11236835,11282199,11412750,11455522,11504052,11537323,11869386,11900817,12123227,12173600,12362218,12429267,12453340,12693399,13278682,13472435,13484202,13695300,13923159,14221018,14308139,14608320,14683543,14819123,14944008,15060867,15206483,15381388,15497367,15582208,16007098,16166922,16368567,16434360,16481890,16565227,16736074,16754794,16812009,17063799,17529984,17570044,18284843,18481259,18488655,18708819,18863194,19386268,19684235,19721232,19778268,20247019,20315740,20516919,20547898,20664443,20688567,20938183,20976490,21006155,21358307,21545367,21885635,22186386,22229079,22516732,22651258,22723639,22893203,22996419,23621082,23664610,23761852,23935420,24045346,24378888,24711203,24792682,25171788,25207386,25371267,25919939,26261435,26262762,26375048,26383299,26635767,26849578,26888019,26947420,27426249,27868003,28062339,28146039,28397532,28645859,28722504,28752802,28869635,28885079,28944538,29020547,29162506,29192123,29354140,29398659,29565267,29588299,29610007,29671929,29736155,29814999,29911690,29948764,30033224,30147639,30562899,31033235,31167083,31443703,31467464,31513722,31872778,31914259,32069527,32135692,32166760,32312817,32336904,32358940,32669962,33187835,33535059,33787377,34047155,34109367,34168723,34264186,34518867,34643562,35091159,35128307,35212618,35224968,35323725,35333435,35400897,35580759,35683386,35743767,35894028,36187605,36189155,36379017,36414583,36616403,36705585,37082812,37178327,37239882,37470035,37678640,37706267,37712779,37721404,38177367,38356540,38569354,38600112,38830728,38983767,39144759,39152624,39247499,39399703,39628089,39707746,39825402,40349139,40419226,40663354,40692124,40829379,40856586,41180659,41293235,41349340,41455498,41510818,41958263,42026199,42143925,42300010,42317363,42344439,42388470,42400122,42432523,42502979,42735467,43217619,43404635,43425126,43426986,43684569,43697125,43825835,43877384,44046702,44198683,44248403,44257763,44360218,44365852,44849707,44926963,44953520,44964042,45112659,45214368,45441274,45445079,45532540,45813610,46027848,46262685,46290039,46513948,46764155,46858403,46941739,47279068,47464819,47507627,47648865,47859847,48628599,48658588,48706179,48962888,49093719,49346864,49362057,49551882,49619208,49684835,49869058,50072506,50303740,50384685,50560899,50572710,50760012,50825456,50836762,50866164,51399946,51406359,51455383,51648892,51781329,51942867,52085562,52436550,52591002,53743664,53824147,53826635,53887720,53944224,54008746,54380499,54456279,54509962,54562108,54639048,54976332,55074625,55083249,55125443,55137219,55287628,55363767,55515222,55821609,55930108,55932320,56021002,56116986,56221207,56285290,56643459,56746858,56793143,57178638,57277523,57979978,58341035,58392802,58709783,58801498,58830154,58932407,59107767,59157155,59183467,59222140,59621802,59686473,60071379,60364488,60461622,60617890,60623685,60687252,60736119,60862003,61068508,61178199,61468929,61544203,62002235,62206359,62533559,62573194,62645559,62755528,62879098,62901244,62923860,63167483,63283223,63371740,63375639,63739779,63821626,63872723,64071010,64591962,64665264,65162938,65219947,65232155,65331292,65479299,65695767,66089550,66096874,66200019,66429299,66437435,66774867,66838039,66872747,67118784,67197724,67491267,67542348,67848567,67910049,68042027,68140605,68328418,68370923,68371210,68482906,68578027,68916867,69003562,69018844,69032698,69690346,69767619,69879539,70009242,70026268,70033835,70255738,70495520,70599969,70685367,70751345,70828027,70988586,71055325,71066568,71363603,71724081,71739267,71949399,72012499,72037559,72683312,72698794,72741468,72748422,72916732,73344759,73507690,73610085,73805767,74402682,74643946,74731594,74868567,75019498,75508632,75623068,75816983,75852407,76046088,76116103,76243767,76522147,76885212,76962103,77078524,77458723,77681505,77701943,77812666,77843563,78278586,78517424,78715912,79167939,79307460,79377226,79439866,79636714,79724922,79876663,79949889,79976067,80073947,80316010,80395618,80419939,80720409,80739299,81036155,81066940,81315964,81462359,81515319,81768726,81856663,82045452,82180599,82313367,82400483,82430698,82828540,82860272,82971155,82998727,83174019,83179163,83238778,83569003,83767479,84002140,84040602,84096339,84547810,84594624,84604648,84901614,84947211,85016188,85266390,85501667,85551849,85665035,85882485,86984524,87217928,87674199,87730747,87920290,88188567,88209228,88332102,88410827,88555401,88625369,88637379,88678807,88768732,88884119,89021139,89216867,89285098,89595159,89822779,89843843,89858920,89876963,89902085,90438599,90514306,90547539,90621155,90853498,90936727,90950816,91087018,91607984,91738163,91756235,91808979,92185539,92206317,92247628,92328826,92748759,92900794,93104362,93217806,93238282,93299947,93624343,93747787,94504858,94524023,94650952,94703659,94797267,95142035,95168952,95180229,95232058,95271563,95306218,95446348,95451059,96095725,96148419,96376762,96377303,96379212,96434986,96453879,96926267,97106205,97243386,97280328,97772386,97959427,97968610,98077403,98120169,98334339,98596339,98618140,98818588,98869835,98887948,99176019,99394248,99535299,99550785,99559228,99565386,99981155,...,198999837222052384062637446835181635815453095002506540312084705378719486753198285374225943338585373485882387951166886730231263151505570393569506671060758426251418791763785435035732122344191313130897846301475916600185560629204420614798160420096584923653561098843502979125607922554320887025334854200386976527921945581086409407891867625175845699417552841152360642033288044563095917062010584890312252875438077923537604135245787212696814410113638499749309476048623462732553255309332258898897171523332641125099510396394145771148058781973241653278167523333490435514813494932778472652202167890567520249011763014508713140679690213644008377367904997816120665615813189016474658068897991500855707220250671776710700126955533237216858774892945854232572430429979675401099723129707671696823104858634368720081780714840507227379866166836745956960412028223426302407409671701684132740399546137316283635019817740264570176858680166671358707556316071782299751879016007579943104405443070618782179766358078116713265650099925568549918618843227935445248089793703561482609377961235869396775629387571148407304189658949442738881780012732356123118430128648194487428675460255181027801382687695870505964711580245243063701268639532770972087841630478082932543246251229435973480074646869112558656140645496874769335217150525936038627242298760231266286752701599831021270254802885986677195037829214926984334235184035688489369508675357120434018037184151014956319720960573301363870291302876746591137966337697916795432300028824604129906372727015081073512695928748180794539954179386630580359741720002268092589200927878539182804515033780218932306931134299028402343638164922372899565317127170305663372621601148918428750092595062602493888959744054874624643191802594774305813480360808269397059055609214270349417481782542641604832964624434027311969902463285768981505886029043884474362350570074772185427019090749552891733542922276708624953438358710517082439318999715737297822265025635847442595344258662436053199767247093863219552480889727805061669136852542515604157153189933330336617979674491130116949237941777381434995358324295268981550227527545142512405196511685533948630443880914738324677280110469097493097385618601253275234456100239660565946639040096588777972398183180647281017255078549593337574771458926299563928410081863803546312723297870034758928077451134380359703495109956725703333574868691852981106539161461406742728144016581231125911664900488531811126824006465867}
15238   767170016249404524058916344918102025575032768529273715688961949: {76165,91398,167497,426356,578246,609080,685215,730896,822258,1034756,1124726,1306598,1348261,1528837,1619017,1979017,2068837,2491652,2855156,2936966,2967315,3165136,3515127,3560778,3702212,4026661,4184675,4202917,4427012,4913798,5021610,5167177,5219431,5341561,5356384,5873156,6025932,6233972,6695798,6834692,6898057,7067535,7069561,7161656,7240777,7456330,7538704,7667557,7674356,8056863,8346661,8432115,8481042,8611448,8768761,8947596,8994256,9021157,9110132,9166406,9256191,9341798,9440377,9468356,9687879,9795615,9857797,10058936,10118538,10190437,10391126,10422212,10439161,10448656,10651900,10898372,10913846,11019275,11316303,11754738,11917897,12128486,12225848,12782280,12991766,13051897,13076007,13223130,13508006,13633503,13634432,13754079,14104672,14380065,14647417,14707526,14727831,15041797,15042932,15217000,15338736,15389798,15542439,15566675,15825848,15867756,16214137,16572356,16601317,16678537,16924532,17119125,17183283,17217061,17256078,17759606,17804079,17978936,18207817,18260400,18543327,18564212,18680010,18766598,18886597,19226735,19477760,19485061,19601798,19856761,19918023,19925344,20081156,20226303,20374117,20447737,20542950,20663156,21261398,21325561,21331527,21555896,21824756,21912480,21921206,21962555,22049161,22416012,22742726,22751732,23072082,23078167,23373312,23886806,24010647,24036937,24232835,24250383,24651540,24722835,24945092,25009657,25104111,25132191,25353637,25394675,25422217,26239561,26279071,26294976,26355066,26371024,26442277,27355892,27446137,27534031,27584756,27711097,27909061,28145915,28294791,28727156,29079402,29083237,29501366,29581848,29638772,29667402,29702315,29725477,29919275,30131798,30170761,30473610,30661892,30759926,30821847,30916598,30988357,31264343,31299577,31464735,31494776,31853606,32344261,32475398,32505184,32647561,32768377,32968810,33279579,33392203,33562384,33609848,33684275,33775098,33828356,33842761,33960697,33976887,34254277,34258546,34633526,34836037,35017016,35177732,35181637,35410597,35431623,35496915,35514356,35642778,35850692,35865061,35903130,36068019,36309398,36314917,36426661,36568332,36692675,36704761,36815497,37091077,37189023,37416452,37435955,37528052,37528261,37541530,37757682,37799161,37811079,37863376,37960837,38228857,38296672,38392711,38969737,39022117,39198212,39334330,39386761,39394143,39420356,39460406,39562572,39645061,39753332,39905366,40003657,40169615,40196852,40208450,40274367,40308217,40421130,40448675,40660261,40750532,40760197,41402761,41549317,41743717,42018296,42033157,42256598,42282119,42367561,42402326,42596298,42838646,42839161,42842527,43083756,43115872,43129203,43178506,43211257,43416807,43743759,43851686,44031210,44344357,44472274,44713412,44867535,44923146,45049836,45286646,45479156,45517561,45998726,46025156,46191416,46353515,46434697,46565798,46759561,46788212,46960261,46966624,47025706,47098300,47151755,47201196,47270583,47356261,47412086,47441012,47577848,47629177,47658356,47809167,47858704,47945675,48050917,48203538,48250140,48298547,48505356,48538410,48611977,48784723,48940780,49004943,49156837,49228261,49405561,49653176,49823737,50856037,50865155,50903156,51016057,51396279,51466816,51638137,51686675,51698761,51774304,51938377,51965343,51978356,52056457,52193012,52346617,52651526,52657477,52713061,52818927,52837452,52905337,53040517,53067337,53100536,53120761,53291183,53325446,53435257,53525079,53639161,53798852,53841042,54129398,54176137,54431557,54439172,54475448,54522277,54744037,54765817,54846730,54911087,54928166,54958597,54979657,55083877,55186297,55366117,55457315,55463497,55521061,55624218,55744837,55859823,55985126,56027077,56034932,56116598,56191900,56226661,56274937,56459252,56509882,56517960,56533496,56536261,56582106,56776777,56915675,56946661,57206437,57271237,57363577,57423398,57486661,57534810,57597577,57623492,57667237,57689161,57801157,57807097,57830137,57854031,57897061,57900168,57902648,57966217,58030117,58043977,58048261,58142435,58246092,58728936,58844246,59098835,59561619,59738103,59952056,60150212,60285824,60500966,60628839,60823235,60995031,61038186,61203610,61257398,61284879,61370464,61683580,61720052,62024010,62183247,62266227,62382326,62879675,63125798,63450015,63531820,63582705,63597898,63600183,64475366,64561115,64838132,64941572,65137689,65140479,65319287,65458292,65816076,66047846,66069176,66070053,66158944,66540327,66548778,66646166,66884486,67179580,67359398,67359650,67414532,67430280,67446063,67477766,67680016,67821552,68067446,68161911,68202635,68298810,68541812,68653526,68702746,68720415,68876423,69041772,69109535,69257156,69447416,69699398,69770922,69912635,69915400,70121336,70733606,70918602,71272591,71925632,72502738,72507332,72608372,72852064,72987882,73301776,73444332,73516292,73818356,74020296,74027675,74029067,74327823,74428812,74613731,74803587,74822648,74862806,75108759,75455610,75524612,75859065,76140018,76238184,76255143,76299246,76315687,76335635,76373798,76800326,77099919,77473338,77541206,78128343,78444410,78626555,78654825,78810356,78886503,78945119,79001798,79214675,79495736,79581964,80027798,80095172,80156986,80485984,80615496,80831580,80916336,80981492,81013119,81440006,81570932,81664115,81764943,81843162,81958572,82431446,82464498,82558762,82819583,82921766,82931442,82941812,83116886,83272833,83527412,83895162,83898480,83997155,84031503,84175479,84427935,84466598,84500852,84986372,85120287,85507286,85767957,85881398,85974566,86122616,86220352,86273555,86438246,86806598,86969967,87298978,87305732,87532835,87589203,87594356,87717398,88119400,88202247,88245231,88266692,88524806,88702646,88833210,88959299,89033156,89323451,89432703,89491712,89988356,90056464,90464756,90546732,90632458,90692433,90854140,90926835,91030878,91145915,91602762,91889156,92055398,92386886,92914066,93023492,93286598,93345656,93859791,94009766,94133292,94247156,94318647,94351866,94385790,94406486,94528835,94651448,94755424,95057610,95620427,95632108,95652356,95732439,95932532,95957366,96106515,96348155,96411398,96711206,96740567,96785798,96887943,96988624,96997896,97230326,97744407,97793012,97814966,97996938,98146780,98318966,98394890,99134325,99145311,99203576,99305798,99720086,99824756,99993398,...,265333116296069845416849929113575514420604126670008720416112940504959315670931047165634591118113831314509850601555848973641684202007427191426008894747677901668558389018380580047642829792255084174530461735301222133580747505605894153064213893462113231538081465124670638834143896739094516033779805600515968703895927441448545877189156833567794265890070454869814189377717392750794556082680779853749670500584103898050138846994382950262419213484851332999079301398164616976737673745776345198529562031110188166799347195192194361530745042630988871037556697777987247353084659910371296869602890520756693665349017352678284187572920284858677836490539997088160887487750918688632877425197322001140942960334229035614266835940710982955811699857261138976763240573306233868132964172943562262430806478179158293442374286454009636506488222448994609280549370964568403209879562268912176987199394849755044846693090320352760235811573555561811610075088095709733002505354676773257472540590760825042906355144104155617687533466567424733224825124303913926997453058271415310145837281647825862367505850094864543072252878599256985175706683643141497491240171530925983238233947006908037068510250261160674619615440326990751601691519377027962783788840637443910057661668305914631306766195825483411541520860662499692446956200701248051502989731680308355049003602133108028360339737181315569593383772286569312445646912047584652492678233809493912024049578868019941759627947431068485160388403835662121517288450263889060576400038432805506541830302686774764683594571664241059386605572515507440479655626669690790118934570504718910406020045040291909742574845732037869791517553229830532753756169560407551163495468198557905000123460083469991851946325406499499524255736793032407751307147744359196078740812285693799223309043390188806443952832578703082626536617714358642007848038725179299149800760099696247236025454332737188978057229702278166604584478280689443252425332954316397096353367514463256793792344883248070933022996125150959403307852970406748892182470056687472209537586577773782157306232654840155932317255703175246660477765727025308733636703393523349873595348914045264840591841219651099569706813958796657463180824801671033645941466986214087928852053462118370629864244240863041356340104732791116766361945235066085237880109151738061750297730493379678570769934845840479604660146608967604444766491589137308142052215281875656970858688774974834548886533984709081502432008621156}
15239   770615673597982828577260355197737162627683463476151308545288732: {121864,137097,532945,639534,761350,867369,913620,974528,1096344,1233387,1293445,1552134,1687089,1841257,1959897,2769494,3114565,3568945,3737478,3956420,4282734,4405449,4627765,4686836,4747704,4848481,5341167,5533765,5553318,5942809,6266449,6596366,6640518,6695480,6849337,7341445,7370697,7490149,7532415,7535017,7792465,7869974,8034576,8037097,8543365,8801569,8809734,8952070,9038898,9142574,9350958,9423380,9592945,10043697,10129729,10252038,10454197,10697617,10742484,10764310,10973678,11173657,11184495,11242820,11308056,11387665,11511534,11835445,11930128,12245558,12341588,12573670,12721563,12917172,13027765,13060820,13164481,13314875,13421394,13491384,13549489,13622965,13665198,13749609,13847617,14012697,14202534,14609894,14821081,15006097,15088404,15177807,15282310,15586689,15633318,15672984,15721957,15731569,15977850,16144777,16280629,16347558,16370769,16995481,17043040,17434676,17513509,17630840,17632107,17691718,17797417,17890286,18178004,18192729,18338772,18799909,18803665,18861409,19021250,19173420,19487649,19637108,19782310,19834695,20262009,20436001,20451648,20715445,20723252,21096097,21155665,21157008,21361129,22061289,22089577,22473670,22564398,22742137,22825500,22911044,22999237,23008104,23074646,23084697,23205265,23344609,23738772,23801634,23871049,24246454,24347200,24724436,24858534,24906680,25042897,25101445,25386798,25586521,25828945,25884117,25962757,26557364,26639409,26798581,26944870,26968404,27280945,27390600,27503929,27557929,27667057,27707521,27846318,28020015,28149897,28439665,28442036,28616278,29204149,29216640,29367086,29402697,29408617,29638246,29707189,29888016,30121734,30412966,30616129,30639889,30762776,30814425,30994734,31164416,31171201,31181365,31892097,32014196,32045029,32333844,32434729,32572177,32737134,32868720,32881809,32963780,33130454,33316537,33472148,33509588,33607657,33624018,33854197,34114089,34127598,34194865,34480945,34608123,34665121,34854457,35059968,35140088,35641129,35830209,35908945,36569686,36621241,36766009,36962518,36977310,37048465,37417638,37711249,37726388,37857637,37873249,38179909,38327365,38402569,38772536,39027301,39261049,39368470,39442464,39532599,39556536,39749137,40417489,40494038,40631480,41033838,41095796,41328886,41377134,41564857,41630617,41876366,41952980,42012310,42285445,42716614,43090734,43380577,43446529,43619103,43771270,43972165,44252049,44372772,44392945,44458158,44501103,44586817,44813365,45033464,45124609,45197697,45302516,45447278,45555697,45710415,45786406,45992838,46139889,46201177,46374897,46462969,46770565,46910065,47242164,47300017,47329220,47523704,47666017,47734261,47763169,47780409,47870840,48090692,48201169,48713097,48757776,48805657,48997765,49275445,49422406,49453215,49466809,49585364,49691665,50011429,50090017,50246065,50343576,50414772,50458777,50662647,50664817,50742534,50938165,51387819,51839878,51950289,52304629,52458049,52522870,52525524,52636201,52750096,52766598,53271534,53464167,53699156,53776038,53854695,53894840,54239977,54464097,54852498,55200937,55550689,55736006,55891765,56124678,56292078,56312295,56432437,56433697,56636523,56795064,56848945,57120481,57291718,57445008,57505604,57531445,57739270,57770158,57810529,57814489,57889076,58041094,58325012,58384246,58485265,58708280,58717681,58797318,58872875,59001495,59130534,59176598,59190609,59220014,59301265,59343858,59472310,59572945,59629998,59823380,59858049,59885029,59897528,60056677,60066448,60295278,60312675,60631695,60766489,60875929,61125798,61175975,61227697,61356169,62066470,62334166,62887406,62934928,63027444,63253009,63384897,63603489,63628945,63745556,63828518,63894447,64139054,64257969,64271384,64333520,64625634,64673808,64717880,64766977,64767759,64972945,65065849,65078581,65241265,65339924,65401897,65428417,65469817,65777529,66046815,66204217,66375670,66708411,67070118,67119169,67248565,67384719,67574754,67929969,68048965,68094310,68218734,68337446,68528372,68536309,68732809,68879257,68998089,69037734,69287124,69384289,69558769,69848697,70043665,70152577,70182318,70239875,70256614,70385761,70425236,70449936,70538559,70574065,70647450,70666870,70801794,71118129,71161518,71366772,71387161,71487534,71636977,71788056,71835457,71871529,72029365,72305307,72375210,72378310,72758034,72807615,72829166,72993481,73232806,73288297,73411170,73903297,74165624,74253817,74356654,74361349,74479764,74740129,74883457,74940070,75187765,75357280,75357289,75412534,75425558,75442808,76354734,76414561,76713080,77104475,77138708,77150065,77200224,77270209,77661456,77967534,78025921,78289518,78305248,78494998,78799406,78967537,78977289,79242841,79256178,79414775,79415492,79594537,79650804,79759321,79988169,80293897,80698278,80761563,80838452,81047665,81176965,81194097,81326708,81384248,81658758,81677449,81713172,81822865,82270095,82338097,82361318,82392249,82586470,82698680,82820017,82910996,82987189,83021636,83436327,83791657,83916526,83974475,83977689,84050149,84052398,84174897,84268165,84287850,84597637,84600020,84634726,84688878,84764823,84776940,84800244,84865046,84873159,85005958,85135297,85470934,85677265,85769269,86135097,86302215,86320009,86435238,86571445,86803129,86809270,86850252,86853972,87099829,87369138,87394250,87651670,87754768,88093404,88266369,88397366,88496806,88515526,88720436,88731704,88915657,89228869,89601889,89699414,89853926,89907040,89928084,89939929,90225318,90272197,90428736,90634165,90751449,90760465,90882548,90890158,91065080,91325017,91387897,91557279,91622929,91627220,91805415,91829569,91886097,91895365,92055696,92060617,92272945,92477089,92525370,92580078,92730577,92889397,93012409,93027896,93036015,93528310,93573489,93716806,93883478,94405765,94558136,94688697,94929638,95015254,95155849,95176369,95297730,95396847,95633449,95719694,96273697,96390481,96699097,96713049,97257198,97317176,97382389,97412358,97624417,97925776,97955269,98047369,98187438,98341249,98512945,98633089,98693728,98724114,98859889,99051883,99071769,99103764,99238416,99369670,99477455,99712969,99738116,99823167,99969249,...,397999674444104768125274893670363271630906190005013080624169410757438973506396570748451886677170746971764775902333773460462526303011140787139013342121516852502837583527570870071464244688382626261795692602951833200371121258408841229596320840193169847307122197687005958251215845108641774050669708400773953055843891162172818815783735250351691398835105682304721284066576089126191834124021169780624505750876155847075208270491574425393628820227276999498618952097246925465106510618664517797794343046665282250199020792788291542296117563946483306556335046666980871029626989865556945304404335781135040498023526029017426281359380427288016754735809995632241331231626378032949316137795983001711414440501343553421400253911066474433717549785891708465144860859959350802199446259415343393646209717268737440163561429681014454759732333673491913920824056446852604814819343403368265480799092274632567270039635480529140353717360333342717415112632143564599503758032015159886208810886141237564359532716156233426531300199851137099837237686455870890496179587407122965218755922471738793551258775142296814608379317898885477763560025464712246236860257296388974857350920510362055602765375391741011929423160490486127402537279065541944175683260956165865086492502458871946960149293738225117312281290993749538670434301051872077254484597520462532573505403199662042540509605771973354390075658429853968668470368071376978739017350714240868036074368302029912639441921146602727740582605753493182275932675395833590864600057649208259812745454030162147025391857496361589079908358773261160719483440004536185178401855757078365609030067560437864613862268598056804687276329844745799130634254340611326745243202297836857500185190125204987777919488109749249286383605189548611626960721616538794118111218428540698834963565085283209665929248868054623939804926571537963011772058087768948724701140149544370854038181499105783467085844553417249906876717421034164878637999431474595644530051271694885190688517324872106399534494187726439104961779455610123338273705085031208314306379866660673235959348982260233898475883554762869990716648590537963100455055090285024810393023371067897260887761829476649354560220938194986194771237202506550468912200479321131893278080193177555944796366361294562034510157099186675149542917852599127856820163727607092625446595740069517856154902268760719406990219913451406667149737383705962213078322922813485456288033162462251823329800977063622253648012931734}
15240   774076683309872823582591697899508844636581706335409816910833559: {106631,152330,182796,197951,334994,349991,623159,714071,804911,852712,959301,1016591,1142025,1156492,1197719,1218160,1370430,1461792,1529039,1559111,1644516,1649279,2069512,2099039,2248559,2249452,2328201,2368031,2457551,2517191,2613196,2695919,2696522,3057674,3238034,3348791,3407951,3850631,3958034,4056599,4137674,4154241,4232831,4379471,4642919,4730591,4945525,4983304,5196959,5255111,5545391,5606217,5710312,5777039,5858545,5873932,5892671,5934630,6065879,6209999,6330272,6424101,6555071,6755831,6813119,7030254,7121556,7184711,7355759,7404424,7412711,7498079,7696991,7952159,8053322,8178431,8329977,8369350,8375999,8405834,8601311,8798039,8854024,8882231,8966351,9050399,9441671,9827596,9859151,9894549,9942431,9960777,10043220,10053359,10334354,10438862,10683122,10712768,10881239,11018519,11674679,11746312,11779225,11804961,11837999,11946719,12051864,12082439,12272111,12467944,13160999,13214601,13391596,13401911,13428105,13535471,13558347,13669384,13713861,13796114,14026437,14053525,14120759,14135070,14139122,14200271,14323312,14481554,14491199,14675831,14912660,15070151,15077408,15335114,15348712,15378057,15384311,15426985,15436559,15514871,16113726,16146465,16242311,16326025,16460517,16693322,16864230,16962084,17219519,17222896,17245079,17267301,17537522,17830751,17895192,17988512,18042314,18210431,18220264,18332812,18361799,18368337,18462551,18512382,18683596,18860505,18880754,18889319,18936712,18964391,19139279,19363559,19375758,19487879,19591230,19715594,19785431,20007839,20106479,20117872,20132091,20237076,20377079,20380874,20401631,20475239,20497797,20744519,20782252,20844424,20878322,20897312,20988479,21134471,21207359,21255911,21303800,21303801,21328679,21473999,21793345,21796744,21827692,21908231,21914841,21980351,22038550,22076399,22148351,22578551,22632606,22722505,22923465,23449977,23501759,23509476,23642711,23835794,23923751,23966775,23993831,24063839,24256972,24451696,24459191,24521337,24546385,25036391,25357439,25494551,25564560,25699679,25904065,25904159,25983532,26103794,26152014,26175791,26446260,26468759,26537577,26603519,26835429,26917429,27016012,27072911,27184151,27250799,27267006,27268864,27383879,27472439,27508158,27737351,27935279,28001111,28044959,28209344,28531875,28638805,28720511,28760130,28763831,29087711,29109239,29294834,29409791,29415052,29455662,29473991,29559479,29623511,29673465,30083594,30085864,30112031,30196559,30259871,30302039,30434000,30677472,30747577,30779596,30805559,30905545,30930719,30993191,31084878,31133350,31242359,31428479,31613951,31651696,31735512,32288471,32369639,32428274,32793671,33074399,33144712,33196705,33202634,33357074,33433031,33492551,33571799,33710505,33729911,33789071,33846597,33848159,33849064,33925969,33985751,34142519,34238250,34337759,34366566,34376711,34434122,34512156,34512791,34611969,34725839,34860911,34942501,35014799,35416319,35519212,35552545,35608158,35702451,35757671,35946191,35957872,36152639,36369681,36376751,36415634,36451199,36520800,36710759,36729239,36948769,37060511,37086654,37128424,37287801,37360020,37443719,37480031,37533196,37773194,37823399,38080197,38235191,38252999,38448359,38453470,38554511,38783519,38955520,38970122,38993711,39046079,39150599,39203596,39393359,39404281,39410639,39462431,39514151,39668879,39713522,39771671,39836046,39850688,40017745,40027391,40162312,40315031,40365551,40417305,40452606,40533431,40733831,40748234,40767119,40783751,40895474,41085900,41204725,41326312,41409839,41426159,41572679,41583241,41767031,41769477,41840185,41886985,41960231,42088391,42247871,42522796,42627359,42651122,42663054,42924417,43111792,43234199,43418471,43449071,43494911,43649512,43824960,43828871,43842412,43925110,44050629,44098322,44144039,44307719,44366999,44396591,44440919,44457369,44719991,44832024,44880239,44967239,45154751,45182601,45485452,45503464,45525719,45610559,45619449,45863351,46044311,46072031,46144164,46156334,46492101,46727711,46746624,46781519,46928831,47157985,47286311,47364959,47417231,47521391,47753879,47773612,47958359,48021294,48021839,48073874,48373631,48435791,48465670,48500766,48633359,48841031,49105701,49178039,49201871,49249439,49303080,49379591,49445670,49695681,49890184,49969777,50015831,50019314,50038511,50185151,50208222,50264382,50436027,50507399,50682311,50707274,50714879,50768999,50789350,50844434,50865911,50940839,51025991,51036599,51057791,51131711,51163271,51191397,51369745,51505679,51597551,51617879,51708959,51719039,51749231,51948671,52066799,52105919,52357079,52366631,52410337,52441225,52479122,52555991,52558142,52589952,52710132,52723679,52742048,52834031,52884554,53051279,53167031,53298911,53351159,53446199,53574239,53599631,53650199,53658599,53833151,53947559,53980729,54140039,54195311,54335639,54351071,54381839,54541271,54563759,54675119,54711784,54755639,54777431,54827999,54849551,54854529,54892274,54906671,54927959,54998399,55068062,55095671,55116311,55169512,55422194,55443777,55465965,55558511,55608911,55652591,55689719,55720439,55793351,55818122,55847279,55970591,56039471,56045159,56079119,56126457,56129519,56237461,56239199,56244599,56260751,56291830,56319359,56350919,56366591,56459111,56509391,56524319,56589582,56626799,56628145,56856599,56913071,56921639,56947151,56963999,56966437,56976551,57021959,57080101,57140879,57219839,57223511,57252599,57357119,57380471,57454312,57491351,57503399,57561719,57611471,57614159,57637991,57643199,57650951,57676271,57703199,57760799,57771719,57823319,57844439,57851879,57876911,57911519,57925271,57966431,57974999,57982031,58020719,58023191,58035839,58045079,58046711,58049759,58053791,58054991,58057511,58058159,58059359,58060679,58063559,58158804,58166474,59002732,59052705,59161525,59163696,59277544,59334804,59404630,59450954,59838550,60113365,60263596,60341522,60741057,60947220,61323784,61519852,61550757,61643694,61833196,61976714,61981705,61993329,62065701,62528686,62599154,62814549,62929470,62980489,62989552,63018465,63707212,64074921,64636101,64688522,64894921,64950796,65010368,65295122,65536754,65656905,65937620,66012457,66559158,66687237,66784406,67123945,67124768,67219696,67368550,67550196,67656712,67685522,67921394,67953774,68170917,68508554,68517092,68679609,68989257,69267052,69672074,70034032,70355464,70363274,70821194,70863246,70993830,71028712,71211217,71285556,71701384,71730122,71806260,71882005,72136038,72361345,72618796,72629834,72853322,72906265,73003909,73136664,73385350,73409522,73630994,74133609,74182154,74378046,74779225,74832904,74871910,75056104,75056522,75083060,75515364,75598322,75622158,75726752,75921674,76113801,76457714,76593344,76785422,77195521,77640241,77759817,77939474,78044234,78396424,78668660,78773522,78784305,78788286,78840712,78920812,79125144,79149897,79290122,79506664,79681945,79810732,79907301,80007314,80339230,80393704,80416900,80548734,80616434,80664057,80842260,80897350,81320522,81399409,81501064,81520394,81674905,82278747,82738369,82805522,83098634,83391817,83487434,83604009,84036592,84066314,84187017,84438117,84513196,84564238,84735122,84804652,85152529,85192596,85660465,85677292,85678322,85685054,85937577,86167512,86231744,86258406,86357012,86422514,86608905,86655237,86833614,87061641,87487518,87576369,87703372,88031545,88062420,88195977,88688714,88695801,88764897,88830021,88944548,89015787,89208465,89426824,89444997,89735070,89846292,90099672,90385561,90442917,90573292,90958312,91035122,91688697,91997452,92050312,92382832,92707030,92869394,93099705,93131596,93298777,93501249,93519122,93576424,93920522,93933248,94051412,94196600,94303510,94331109,94402392,94541166,94712522,94824172,94882024,95155696,95258354,95316712,95483689,95618334,95717408,95742777,95891350,96101834,96208581,96407076,96423385,96500280,96597094,96753349,96938451,97010712,97076820,97223954,97569446,97877689,97881560,98009886,98313674,98456522,98811122,99269365,99306352,99563505,99647474,...,596999511666157152187912340505544907446359285007519620936254116136158460259594856122677830015756120457647163853500660190693789454516711180708520013182275278754256375291356305107196367032573939392693538904427749800556681887613261844394481260289754770960683296530508937376823767662962661076004562601160929583765836743259228223675602875527537098252658523457081926099864133689287751186031754670936758626314233770612812405737361638090443230340915499247928428145870388197659765927996776696691514569997923375298531189182437313444176345919724959834502570000471306544440484798335417956606503671702560747035289043526139422039070640932025132103714993448361996847439567049423974206693974502567121660752015330132100380866599711650576324678837562697717291289939026203299169389123015090469314575903106160245342144521521682139598500510237870881236084670278907222229015105052398221198638411948850905059453220793710530576040500014076122668948215346899255637048022739829313216329211856346539299074234350139796950299776705649755856529683806335744269381110684447828133883707608190326888162713445221912568976848328216645340038197068369355290385944583462286026380765543083404148063087611517894134740735729191103805918598312916263524891434248797629738753688307920440223940607337675968421936490624308005651451577808115881726896280693798860258104799493063810764408657960031585113487644780953002705552107065468108526026071361302054111552453044868959162881719904091610873908630239773413899013093750386296900086473812389719118181045243220538087786244542383619862538159891741079225160006804277767602783635617548413545101340656796920793402897085207030914494767118698695951381510916990117864803446755286250277785187807481666879232164623873929575407784322917440441082424808191177166827642811048252445347627924814498893873302081935909707389857306944517658087131653423087051710224316556281057272248658675200628766830125874860315076131551247317956999147211893466795076907542327786032775987308159599301741281589658657442669183415185007410557627546812471459569799991009853939023473390350847713825332144304986074972885806944650682582635427537215589535056601845891331642744214974031840331407292479292156855803759825703368300718981697839917120289766333917194549541941843051765235648780012724314376778898691785230245591410638938169893610104276784232353403141079110485329870177110000724606075558943319617484384220228184432049743693377734994701465595433380472019397601}
15241   777553113242476858488812711237390372459679941720197603160514056: {15241,228495,243728,274194,502491,746123,1065890,1279068,1445615,1522700,1734738,1810823,1827240,1949056,2055645,2176031,2192688,2466774,2586890,2811815,3104268,3266495,3374178,3682514,3919794,4044783,4360391,4586511,4857051,4996523,5182859,5538988,5730023,5937051,6183551,6206511,6229130,6478871,6641963,7137890,7183451,7342415,7474956,7747271,7912840,8006711,8094671,8371343,8565468,8810898,8901945,9255530,9373672,9495408,9552623,9696962,10278023,10545381,10682334,10828331,10909451,11067530,11106636,11885618,11960711,12079983,12284495,12532898,12554025,12608751,13192732,13205231,13281036,13390960,13430123,13698674,14682890,14741394,14980298,15064830,15070034,15501531,15558023,15584930,15658293,15739948,15942731,16024683,16069152,16074194,16569623,16739495,17086730,17403431,17515823,17571599,17603138,17619468,17904140,18077796,18130079,18238871,18285148,18640825,18701916,18846760,19072151,19080191,19185890,20087394,20259458,20504076,20694171,20908394,21011663,21033311,21202605,21208683,21395234,21484968,21528620,21722331,21947356,22347314,22368990,22485640,22616112,22775330,22916015,23002671,23023068,23074139,23354495,23670890,23860256,23874203,24121151,24170589,24491116,24683176,24931751,25039983,25147340,25296345,25443126,25834344,25977815,26031071,26055530,26121640,26306283,26325131,26328962,26476871,26629750,26842788,26877071,26982768,27063471,27098978,27245930,27284615,27330396,27499218,27507563,27695234,27768573,28025394,28321131,28405068,28646759,29001623,29017199,29063637,29219788,29386845,29573391,29596151,29617931,29642162,30012194,30176808,30321215,30355614,30564620,30571311,31173378,31266636,31317483,31345968,31443914,31463138,31955700,32049263,32289554,32479415,32487371,32561258,32695116,32697431,32741538,32902859,33057825,33320939,33734951,33770015,33948909,33990962,34086080,34255031,34869352,35027018,35142023,35261680,35264214,35383436,35594834,35753691,35780572,36160523,36356008,36385458,36677544,36768815,37055819,37524623,37561499,37599818,37607330,37722818,37862639,38042500,38193323,38346840,38407643,38474495,38494391,38692391,38975298,39155691,39228021,39274216,39564620,39669390,39704351,39815531,39834203,40524018,40868831,40872002,40900509,40903296,41191631,41262237,41430890,41446504,41718839,41734031,42192194,42311330,42314016,42671663,42722258,43140195,43592411,43653911,43942251,44080811,44122578,44179154,44183493,44399015,44947340,45125391,45128796,45484274,45651000,45822088,45998474,46016208,46149292,46169394,46410530,46436591,46530011,46627317,46689218,46700025,46916495,47477544,47603268,47742098,47872811,48236651,48273323,48492908,48642411,48694400,48976919,49004495,49316711,49448872,49717068,49803951,49813360,50035611,50085794,50202890,50272523,50394971,50773596,51026279,51173042,51357375,51549849,51651183,51657890,51768234,51867851,51880151,51925514,52693511,53114728,53153495,53278818,53412237,53597162,53658311,53694671,53838551,53851631,53889740,53936808,54219023,54385271,54420479,54547499,54561890,54601391,54623451,54781200,54803015,55007858,55115858,55334114,55415042,55629981,55692636,56040030,56299794,56659791,56856815,56879330,56884072,57232556,57549911,57680205,58408298,58433280,58455183,58734172,58805394,58817234,59199623,59276492,59381771,59414378,59570283,59717015,59754069,59776032,60243468,60678909,60759263,60825932,61122351,61232258,61279778,61343211,61385351,61525552,61561031,61628850,61913819,61989468,62150123,62328832,62342402,62362730,62738711,62986271,63095471,63784194,63976683,63994581,64015031,64028392,64090058,64101791,64667688,64869458,65144354,65237471,65474268,65478791,65674091,65737440,65763618,65887665,65927560,65952119,66147483,66260908,66633074,66679679,66944296,67019176,67215314,67248036,67271471,67441679,67506023,67708394,67815323,68037803,68228178,68255196,68389730,68596871,68961890,68985623,69216246,69234501,69330242,69393623,69433691,69566759,69568331,69708914,70119936,70280176,70344491,70385423,70478111,70846823,71282258,71313431,71660418,71817890,72031941,72110811,72698505,72751149,72771719,73055531,73058831,73139372,73242482,73262951,73532018,73753415,73858991,73925036,73954620,74096930,74168505,74835276,75028971,75208331,75312333,75329495,75396573,75422498,75452776,75715274,75746498,76060911,76184025,76266651,76359818,76542791,76654730,76805138,76899815,76982699,77291495,77293151,77545072,77582831,78054602,78248471,78485111,78522098,78718683,78736940,78837213,78884928,78897719,79065198,79113072,79326831,79498274,79588523,79634015,80327003,80544023,80834978,80858459,80988076,81188495,81262960,81879371,81929039,82067676,82191592,82338411,82422025,82602093,82657772,82754268,82907591,83021771,83109743,83129714,83133291,83261234,83402123,83407019,83727183,83752732,83905960,83921051,84024620,84101111,84437745,84570890,84645419,84884373,85287623,85433228,85646365,85832639,86181468,86265023,86583815,86640023,86761154,86893058,87238206,87249711,87542540,87754511,87944330,88347611,88498631,88504098,88724351,88745544,88785890,88916316,89002206,89080523,89106945,89173634,89176431,89246111,89626730,89757825,89846711,90066928,90249218,90395394,90512283,90605032,90773495,90894556,90962123,91111394,91337771,91420830,91572812,91684391,91985676,92279778,92402354,92465541,92749794,92925938,92965071,93002591,93164651,93325271,93541130,93649499,93793029,93820130,93853825,93898731,94066271,94133003,94147991,94170191,94394205,94484328,94600034,94658440,94728791,95047408,95268551,95332034,95468522,95526338,95560818,95741680,96181384,96213431,96402338,96712319,96934463,97032783,97426194,97515552,97611314,97942683,97985423,97995530,98061131,98305131,98335825,98381471,98550890,98651015,98803691,98844812,98906430,98933618,99170728,99383330,99502103,99726383,99763415,99838737,...,795999348888209536250549787340726543261812380010026161248338821514877947012793141496903773354341493943529551804667546920925052606022281574278026684243033705005675167055141740142928489376765252523591385205903666400742242516817682459192641680386339694614244395374011916502431690217283548101339416801547906111687782324345637631567470500703382797670211364609442568133152178252383668248042339561249011501752311694150416540983148850787257640454553998997237904194493850930213021237329035595588686093330564500398041585576583084592235127892966613112670093333961742059253979731113890608808671562270080996047052058034852562718760854576033509471619991264482662463252756065898632275591966003422828881002687106842800507822132948867435099571783416930289721719918701604398892518830686787292419434537474880327122859362028909519464667346983827841648112893705209629638686806736530961598184549265134540079270961058280707434720666685434830225264287129199007516064030319772417621772282475128719065432312466853062600399702274199674475372911741780992359174814245930437511844943477587102517550284593629216758635797770955527120050929424492473720514592777949714701841020724111205530750783482023858846320980972254805074558131083888351366521912331730172985004917743893920298587476450234624562581987499077340868602103744154508969195040925065147010806399324085081019211543946708780151316859707937336940736142753957478034701428481736072148736604059825278883842293205455481165211506986364551865350791667181729200115298416519625490908060324294050783714992723178159816717546522321438966880009072370356803711514156731218060135120875729227724537196113609374552659689491598261268508681222653490486404595673715000370380250409975555838976219498498572767210379097223253921443233077588236222436857081397669927130170566419331858497736109247879609853143075926023544116175537897449402280299088741708076362998211566934171689106834499813753434842068329757275998862949191289060102543389770381377034649744212799068988375452878209923558911220246676547410170062416628612759733321346471918697964520467796951767109525739981433297181075926200910110180570049620786046742135794521775523658953298709120441876389972389542474405013100937824400958642263786556160386355111889592732722589124069020314198373350299085835705198255713640327455214185250893191480139035712309804537521438813980439826902813334299474767411924426156645845626970912576066324924503646659601954127244507296025863468}
15242   781045031550729772543410635897550270435523916742264984011493065: {213262,304660,365592,395902,411291,653557,669988,699982,1246318,1428142,1559317,1598835,1609822,1705424,1903375,1918602,2033182,2278741,2284050,2312984,2395438,2436320,2602107,2726041,2740860,2923584,3058078,3118222,3171541,3289032,3298558,3437977,3700161,3880335,4139024,4198078,4497118,4498904,4656402,4672777,4736062,4915102,5034382,5061267,5226392,5391838,5393044,5523771,5546137,5879691,6115348,6239641,6476068,6697582,6815902,6842677,6923735,7701262,7916068,8113198,8201963,8275348,8308482,8465662,8758942,8967577,9285838,9343695,9461182,9891050,9966608,10054741,10303897,10393918,10510222,10706835,10717717,11090782,11212434,11420624,11554078,11703541,11717090,11747864,11785342,11866837,11869260,12131758,12273817,12419998,12660544,12848202,13110142,13162837,13216347,13511662,13626238,13883295,14060508,14122741,14243112,14369422,14519641,14545443,14711518,14808848,14825422,14996158,15150937,15393982,15464857,15904318,16023501,16106644,16356862,16477141,16490915,16601295,16659954,16738700,16751998,16811668,17017177,17202622,17247541,17596078,17708048,17764462,17828427,17858677,17932702,18100798,18389641,18799347,18883342,19655192,19674935,19718302,19789098,19884862,19921554,20035417,20086440,20106718,20404597,20548011,20668708,20877724,20991541,21210457,21366244,21425536,21597779,21762478,21935497,22024335,22037038,22112091,22380175,22470447,22597245,22605051,22856435,23349358,23377395,23492624,23558450,23609922,23675998,23893438,24103728,24111291,24164878,24207241,24544222,24555541,24902041,24935888,25630095,25726297,25930741,26321998,26404707,26405257,26429202,26783192,26803822,26856210,26910775,27070942,27116694,27338768,27410197,27427722,27434195,27592228,28052874,28071157,28107050,28241518,28270140,28278244,28400542,28464277,28646624,28778835,28963108,28982398,29113717,29351662,29435737,29825320,30131091,30140302,30154816,30389187,30510683,30613895,30670228,30697424,30705817,30756114,30768622,30853970,30873118,31029742,31362591,31434175,31811507,31885717,32069641,32092851,32227452,32252917,32292930,32484622,32652050,32921034,33386644,33458197,33520971,33553485,33728460,33755017,33924168,34162995,34167541,34364939,34439038,34445792,34490158,34534602,34750741,35075044,35154697,35326741,35506335,35661502,35790384,35977024,36084628,36265691,36289417,36420862,36440528,36524735,36665624,36723598,36735241,36736674,36925102,37024764,37367192,37449877,37721010,37761508,37778638,37873424,37928782,38164689,38205775,38259337,38278558,38727118,38751516,38975758,39083295,39157141,39182460,39417241,39431188,39493443,39570862,39572437,39944625,40015678,40094327,40212958,40235744,40264182,40474152,40648467,40754158,40761748,40790677,40803262,40868895,40950478,40995594,41088757,41187541,41248827,41295683,41433241,41489038,41542851,41564504,41688848,41756644,41794624,41976958,42038091,42268942,42414718,42511822,42607600,42607602,42634741,42657358,42947998,43009717,43267763,43586690,43593488,43655384,43666727,43816462,43829682,43960702,44077100,44151817,44152798,44229295,44296702,44463243,44463541,44551957,44725715,44989717,45018291,45157102,45265212,45445010,45533421,45632857,45759541,45846930,45885577,46094197,46475387,46760067,46899954,47003518,47018952,47165871,47194707,47285422,47308117,47553125,47671588,47847502,47933550,47987662,48127678,48419977,48434331,48457237,48513944,48841887,48898741,48903392,48918382,48971317,49042674,49092770,49112307,49455775,49715977,49773563,50025397,50059417,50072782,50194777,50714878,50724697,50986443,50989102,51046537,51129120,51204757,51399358,51729241,51808130,51808318,51967064,52207588,52304028,52351582,52377097,52540527,52892520,52896321,52937518,53075154,53204377,53207038,53283541,53392251,53593717,53669641,53670858,53834858,53844277,53918041,54032024,54087637,54145822,54159241,54368302,54501598,54534012,54537728,54578187,54686677,54767758,54839641,54904117,54944878,54946741,55016316,55196437,55474702,55589557,55738741,55865497,55870558,55918741,56002222,56024843,56057557,56089918,56141977,56184175,56257141,56337241,56399727,56410995,56418688,56537077,56584227,56639641,56780041,56887177,56939017,57063750,57075637,57158041,57192277,57236917,57277610,57374041,57441022,57442837,57520260,57527662,57628057,57686615,57982297,58016137,58062217,58076041,58077337,58079317,58079641,58175422,58218478,58462947,58576259,58589668,58641779,58819582,58830104,58911324,58947982,59055191,59118958,59247022,59346930,59504085,60167188,60171728,60224062,60331403,60393118,60519742,60604078,60616135,60786027,60868000,61308003,61354944,61495154,61559192,61611118,61811090,61861438,61986382,62146335,62169756,62266700,62484718,62856958,63227902,63288291,63303392,63466995,63471024,63795407,64083387,64576942,64739278,64856548,65587342,66021179,66148798,66183867,66268731,66289424,66393410,66405268,66714148,66866062,66985102,67143598,67323971,67362175,67421010,67459822,67578142,67693194,67696318,67698128,67851938,67971502,68226411,68285038,68476500,68675518,68733132,68753422,68868244,68997711,69024312,69025582,69223938,69254091,69451678,69615795,69721822,69885002,70029598,70033827,70832638,71038424,71105090,71216316,71404902,71515342,71540695,71613147,71892382,71915744,71917643,72305278,72739362,72753502,72831268,72902398,73041600,73417715,73421518,73458478,73897538,74095615,74121022,74173308,74256848,74431487,74575602,74720040,74887438,74960062,75066392,75128691,75304335,75546388,75646798,76032415,76160394,76470382,76505998,76759563,76896718,76906940,77109022,77486835,77567038,77652351,77888271,77911040,77940244,77987422,78092158,78301198,78407192,78786718,78808562,78821278,78924862,79028302,79279403,79337758,79427044,79543342,79672092,79701376,79918227,80035490,80054782,80324624,80395743,80630062,80731102,80834610,80905212,81066862,81467662,81496468,81534238,81567502,81790948,81842835,82171800,82409450,82511787,82652624,82673787,82819678,82826135,82852318,83001171,83122563,83145358,83166482,83534062,83538954,83680370,83773970,83920462,84060045,84158711,84176782,84449691,84495742,85045592,85254718,85302244,85318995,85326108,85848834,86223584,86277347,86288851,86468398,86774387,86836942,86898142,86989822,87299024,87612447,87649920,87657742,87684824,87850220,88101258,88196644,88208091,88225851,88288078,88615438,88733998,88793182,88881838,88914738,89121567,89439982,89664048,89760478,89934478,90309502,90365202,90970904,91006928,91051438,91221118,91238898,91424215,91726702,91848387,91919667,92088622,92144062,92288328,92312668,92406295,92443275,92984202,93202619,93455422,93493248,93513603,93544095,93563038,93857662,93973523,94315970,94572622,94729918,94834462,95042782,95507758,95547224,95676291,95916718,96042588,96043678,96135087,96147748,96747262,96871582,96931340,97001532,97266718,97304187,97682062,97716531,98211402,98356078,98403742,98421175,98498878,98606160,98645427,98759182,98891340,99391362,99780368,99939554,99949611,...,1193999023332314304375824681011089814892718570015039241872508232272316920519189712245355660031512240915294327707001320381387578909033422361417040026364550557508512750582712610214392734065147878785387077808855499601113363775226523688788962520579509541921366593061017874753647535325925322152009125202321859167531673486518456447351205751055074196505317046914163852199728267378575502372063509341873517252628467541225624811474723276180886460681830998495856856291740776395319531855993553393383029139995846750597062378364874626888352691839449919669005140000942613088880969596670835913213007343405121494070578087052278844078141281864050264207429986896723993694879134098847948413387949005134243321504030660264200761733199423301152649357675125395434582579878052406598338778246030180938629151806212320490684289043043364279197001020475741762472169340557814444458030210104796442397276823897701810118906441587421061152081000028152245337896430693798511274096045479658626432658423712693078598148468700279593900599553411299511713059367612671488538762221368895656267767415216380653776325426890443825137953696656433290680076394136738710580771889166924572052761531086166808296126175223035788269481471458382207611837196625832527049782868497595259477507376615840880447881214675351936843872981248616011302903155616231763453792561387597720516209598986127621528817315920063170226975289561906005411104214130936217052052142722604108223104906089737918325763439808183221747817260479546827798026187500772593800172947624779438236362090486441076175572489084767239725076319783482158450320013608555535205567271235096827090202681313593841586805794170414061828989534237397391902763021833980235729606893510572500555570375614963333758464329247747859150815568645834880882164849616382354333655285622096504890695255849628997787746604163871819414779714613889035316174263306846174103420448633112562114544497317350401257533660251749720630152263102494635913998294423786933590153815084655572065551974616319198603482563179317314885338366830370014821115255093624942919139599982019707878046946780701695427650664288609972149945771613889301365165270855074431179070113203691782663285488429948063680662814584958584313711607519651406736601437963395679834240579532667834389099083883686103530471297560025448628753557797383570460491182821277876339787220208553568464706806282158220970659740354220001449212151117886639234968768440456368864099487386755469989402931190866760944038795202}
15243   784552506688393040783349897011046227050537145563228510691987334: {30482,319893,380825,456990,487456,548388,593853,837485,1004982,1049973,1492246,1869477,2023861,2131780,2142213,2414733,2558136,2571673,2877903,2891230,3045400,3049773,3426075,3469476,3593157,3621646,3654480,3898112,3936541,4111290,4352062,4385376,4573093,4587117,4677333,4933548,4947837,5173780,5623630,6125197,6208536,6297117,6532990,6741305,6745677,6748356,6984603,7104093,7307833,7365028,7372653,7551573,7644185,7839588,8087757,8089566,8095085,8489533,8720782,8948677,9173022,9714102,9847277,9895085,9993046,10046373,10223853,10279381,10344185,10365718,10676461,11077976,11460046,11551893,11840741,11874102,12169797,12367102,12413022,12458260,12462723,12698493,12957742,13138413,13283926,13670873,13831037,13928757,14191773,14275780,14366902,14684830,14836575,14949912,15494542,15590877,15765333,15825680,16013422,16189342,16402013,16636173,16742686,16810541,16818651,17130936,17198293,17331117,17575635,17621796,17678013,17803890,18040697,18197637,18511060,18629997,18747344,18990816,19105246,19272303,19393924,19665213,20133305,20267493,20439357,20556046,20573477,20923375,21014585,21090762,21364668,21426457,21554133,21656662,21760541,21818902,22067277,22135060,22213272,22238133,22494237,22902281,23090973,23302457,23435293,23771236,23856477,23921422,24159966,24535293,24568990,24721037,24738317,24989931,25065796,25108050,25127997,25217502,25485641,25803933,25835885,26097155,26385464,26394117,26410462,26562072,26646693,26707805,26781920,26860246,26899053,27151197,27269437,27397348,28325013,28896533,29365780,29482788,29577453,29591797,29639357,29683647,29827293,29882331,29960596,30129660,30140068,30160077,30763993,30973157,31003062,31116046,31169860,31316586,31479896,31885462,32049366,32082421,32138304,32148388,32643717,32696293,32918777,33055557,33139246,33464141,33478990,34173460,34259557,34490285,34806862,35024037,35031646,35143198,35206276,35238936,35337675,35347805,35414883,35513997,35808280,35840157,36155592,36203885,36247317,36260158,36368941,36420317,36477742,36570296,36816333,37281650,37403832,37529581,37693520,38144302,38160382,38190041,38198461,38337785,38371780,38885197,39263093,39482997,39643803,39709597,40174788,40205733,40284315,40518916,40606413,40675041,41008152,41141583,41388342,41733305,41816788,41974901,42023326,42066622,42079311,42160575,42362277,42405210,42417366,42449701,42519833,42600813,42790468,42969936,43057240,43244437,43305317,43444662,43473597,43843805,43894712,44027493,44046341,44270873,44694628,44737980,44971280,45105785,45210453,45232224,45471181,45550660,45832030,46005342,46046136,46134171,46148278,46152933,46213541,46280955,46309677,46544613,46643917,46708990,46877021,47201885,47278021,47314637,47341780,47526533,47720512,47748406,48148397,48242302,48341178,48439395,48726933,48978075,48982232,49288985,49366352,49381551,49485977,49863502,50079966,50294680,50592690,50886252,50952185,51366037,51476341,51658557,51668688,51735237,51801903,51955630,52062142,52111060,52195805,52243280,52612566,52650262,52657924,52953742,53259500,53492253,53685576,53754142,53864293,53965536,54126942,54197956,54491860,54569230,54631293,54660792,54990013,54998436,55015126,55085397,55096375,55105011,55118677,55387653,55390468,55537146,56050788,56265241,56581515,56642262,56667957,56810136,56893173,57293518,57300317,57417837,57775157,57818573,58003246,58034398,58090677,58127274,58439576,58463637,58773690,59146782,59192302,59235862,59284324,59356293,59557693,59589485,59900921,60023517,60024388,60187117,60319437,60353616,60396273,60642430,60711228,61129240,61131237,61142622,61204893,61425717,61493391,62158621,62233557,62346756,62533241,62533272,62634966,62691936,62887828,62926276,62965437,63192581,63403413,63513197,63622077,63767733,63911400,63911403,63986037,64098526,64421997,64579108,64949557,64958830,64974742,65122516,65259485,65380035,65390232,65394862,65399561,65419541,65483076,65683093,65724693,65744523,65805718,65941053,66115650,66229197,66445053,66455693,66641878,67469902,67540030,67735653,67897818,67981924,68167515,68172160,68273117,68398361,68510062,68606293,68607157,68770395,69738704,70054036,70284046,70349931,70500541,70505277,70523360,70528428,70731517,70766872,70928133,71189668,71231417,71507382,71561144,71771253,71900325,71981493,72191517,72321046,72712016,72770916,73013237,73170877,73237085,73355088,73377573,73537630,73564011,73639155,73949597,74111638,74414893,74903741,75049246,75109173,75122998,75199636,75208985,75214660,75445636,75725278,76072317,76085000,76124141,76386646,76483653,76693680,76724221,76815286,76948990,76988782,77099037,77384782,77712195,77712477,77733557,77833375,77950596,78311382,78456042,78527373,78548432,78666061,78803257,79129240,79338780,79406277,79408702,79599541,79612731,79616141,79631062,79668406,79810557,80105813,80506287,80752287,81048036,81070685,81218733,81552453,81737662,81744004,81752397,81801018,81806592,82151637,82313653,82383262,82417317,82434077,82524474,82861780,82893008,83006585,83212053,83292313,83392685,83437678,83468062,83603821,83805837,84003333,84134877,84338941,84384388,84622660,84628032,85343326,85444516,85535693,85595625,85792121,85916415,86085305,86161533,86280390,86291493,86416037,87029797,87184822,87263133,87307822,87327717,87771221,87884502,88161622,88229373,88245156,88358308,88366986,88421973,88678437,88798030,88870533,88882573,89020395,89879597,89894680,90019597,90250782,90257592,90296153,90336093,90474893,90589677,90733301,90779613,90845117,90906117,90968548,91039085,91302000,91644176,91958777,91996948,92032416,92242731,92298584,92338788,92416677,92501837,92615197,92716635,92792157,92821060,92873182,92979573,93060022,93254634,93378436,93400050,93727077,93832990,94285437,94432985,94841853,94955088,95181101,95206536,95309477,95321461,95484196,95490197,95559997,95745622,96133675,96416837,96473302,96546646,96550757,96642773,96865413,96985816,97108917,97284822,97388800,97425305,97953838,98008990,98381013,98633422,98897744,99223197,99283805,99434136,99590115,99607902,99626720,...,1790998534998471456563737021516634722339077855022558862808762348408475380778784568368033490047268361372941491560501980572081368363550133542125560039546825836262769125874068915321589101097721818178080616713283249401670045662839785533183443780869264312882049889591526812130471302988887983228013687803482788751297510229777684671026808626582611294757975570371245778299592401067863253558095264012810275878942701311838437217212084914271329691022746497743785284437611164592979297783990330090074543709993770125895593567547311940332529037759174879503507710001413919633321454395006253869819511015107682241105867130578418266117211922796075396311144980345085990542318701148271922620081923507701364982256045990396301142599799134951728974036512688093151873869817078609897508167369045271407943727709318480736026433564565046418795501530713612643708254010836721666687045315157194663595915235846552715178359662381131591728121500042228368006844646040697766911144068219487939648987635569039617897222703050419390850899330116949267569589051419007232808143332053343484401651122824570980664488140335665737706930544984649936020114591205108065871157833750386858079142296629250212444189262834553682404222207187573311417755794938748790574674302746392889216261064923761320671821822013027905265809471872924016954354733424347645180688842081396580774314398479191432293225973880094755340462934342859008116656321196404325578078214083906162334657359134606877488645159712274832621725890719320241697039281251158890700259421437169157354543135729661614263358733627150859587614479675223237675480020412833302808350906852645240635304021970390762380208691255621092743484301356096087854144532750970353594410340265858750833355563422445000637696493871621788726223352968752321323247274424573531500482928433144757336042883774443496681619906245807729122169571920833552974261394960269261155130672949668843171816745976025601886300490377624580945228394653741953870997441635680400385230722626983358098327961924478797905223844768975972328007550245555022231672882640437414378709399973029561817070420171052543141475996432914958224918657420833952047747906282611646768605169805537673994928232644922095520994221877437876470567411279477110104902156945093519751360869299001751583648625825529155295706946340038172943130336696075355690736774231916814509680830312830352697060209423237331455989610531330002173818226676829958852453152660684553296149231080133204984104396786300141416058192803}
15244   788075607409354503928194808211101299708899038900445618828324436: {45723,167563,258859,426524,609320,685485,731184,791804,822582,1077283,1258363,1307114,1339976,1399964,1507473,1619659,1709803,2069659,2238369,2492636,2517859,2664725,2856284,2875123,3118634,3197670,3219644,3408859,3410848,3806750,3837204,4066364,4336845,4380643,4557482,4568100,4625968,4790876,4872640,5169259,5204214,5256523,5432469,5452082,5481720,5847168,5952043,6116156,6166935,6236444,6343082,6384403,6467225,6528093,6578064,6597116,6814963,6875954,7243723,7400322,7414723,7670683,7760670,8278048,8396156,8435445,8603659,8994236,8997808,9024859,9206285,9312804,9345554,9472124,9527923,9693229,9799485,9830204,9945163,10068764,10122534,10194643,10452784,10783676,10786088,11047542,11092274,11514259,11759382,11841283,12134349,12230696,12329659,12479282,12952136,13081173,13395164,13459123,13631804,13685354,13759533,13847470,14571153,14989569,15402524,15440923,15548577,15572825,15832136,16226396,16376203,16403926,16550696,16616964,16685659,16762843,16931324,17190069,17517884,17811153,17835859,17844725,17935154,18550653,18571676,18619533,18687390,18894763,18922364,18969859,19436613,19782100,19925889,19933216,20109482,20383003,20456659,20530243,20607794,20787836,20897083,21020444,21262123,21413670,21435434,21550353,22027245,22181564,22424868,22632859,22841248,23087281,23108156,23138825,23241813,23273083,23407082,23434180,23495728,23570684,23733674,23738520,24020133,24047659,24242405,24263516,24284013,24466483,24547634,24744259,24839996,25089859,25114029,25321088,25433659,25502203,25696404,25707403,26220284,26325674,26432694,26521723,26705835,26790859,27023324,27252476,27392203,27544909,27668825,27766590,28053523,28121016,28245482,28486224,28657869,28738844,28772659,29039282,29090886,29096659,29161243,29423036,29617696,29650844,29714045,29992316,30121363,30301874,30311443,30787964,30834069,30929714,31065283,31332245,31636143,31808636,31999009,32047002,32176603,32213288,32484993,32713724,32728353,32783923,32954282,32981830,33202590,33204763,33319908,33477400,33503996,33623336,34034354,34246685,34270723,34387723,34405244,34495082,35192156,35256043,35416096,35528924,35656854,35717354,35769259,35865404,35882133,36201596,36239949,36388603,36707225,36779282,36853485,37109323,37450745,37492363,37598694,37662075,37675085,37766684,37826253,37979659,38407873,38567323,38962325,39041659,39310384,39349870,39436604,39578196,39615693,39769724,39819259,39843108,40070834,40172880,40185485,40213436,40290369,40379203,40780963,40809194,40830859,41096022,41325859,41337416,41755448,41983082,42102883,42298817,42420914,42716825,42732488,42851072,42859453,43187563,43195558,43464259,43524956,43647283,43738363,43870994,43874443,44007845,44048670,44074076,44224182,44412283,44760350,44940894,44983243,45194490,45210102,45499483,45712870,45879859,46088659,46500859,46504593,46663723,46674069,46698716,46754790,46865683,46974879,46985248,47116900,47219844,47351996,47655523,47694259,47786876,47828193,47964725,48074049,48115603,48207456,48222582,48317621,48329756,48414482,48803989,49088444,49111082,49184659,49220443,49708869,49804082,49871776,50057659,50218485,50226859,50648645,50853403,50917843,51077683,51134629,51260190,51329683,51452594,51484843,51638203,51861482,51998923,52210293,52270985,52406659,52547469,52643996,52714797,52717123,52809414,52810514,52858404,53099659,53126443,53312237,53338123,53488085,53493859,53566384,53596243,53607644,53712420,53821550,54141884,54233388,54233659,54373843,54390237,54442963,54677536,54712963,54716613,54800659,54820394,54822403,54855444,54868390,55014859,55139923,55184456,55421659,55868285,55922475,56081323,56105748,56142314,56214100,56376163,56483036,56540280,56556488,56801084,56815723,56928554,56938325,56947843,56973403,57011203,57216453,57240573,57246643,57293248,57509659,57557670,57639259,57671083,57709243,57724003,57843883,57849859,57873043,57926216,57964796,57995659,58065643,58076659,58083859,58088323,58227434,58703324,58871474,59177225,59650640,60262182,60280604,60309632,60778374,61021366,61227790,61340456,61394848,61411634,61512228,61537244,61707940,61746236,61921013,62059484,62082513,62616001,62725182,62868350,63034989,63099933,63607815,63623014,63626049,63771434,64139282,64185702,64454904,64505834,64585860,64969244,65138825,65166993,65304100,65345093,65822405,65842068,66574375,66773288,66916394,67041942,67106970,67456920,67510034,67747445,67848336,68114825,68325990,68335082,68729878,68748045,68878076,68891584,68980316,69008013,69069204,69222417,69238085,69501482,70063485,70150088,70309394,70653482,71012670,71300749,71323004,71580768,71622609,71954048,72169256,72363453,72511767,72531382,72578834,72841724,72881056,73049470,73331248,73447196,73470482,73473348,73850204,74049528,74105405,74643209,74734384,74795253,74899754,75030485,75119949,75442020,75523016,75557276,75746848,75857564,75889035,76329378,76411550,76518674,76557116,77454236,77503032,77933445,77951516,78093213,78166590,78314282,78364920,78609785,78657845,78834482,78862376,78918849,78975393,78986886,79141724,79144874,79430613,79564693,79889250,80031356,80188654,80425916,80471488,80528364,80631213,80723885,80761261,80948304,81190413,81296934,81403145,81508316,81523496,81581354,81606524,81737790,81853845,81900956,81991188,82177514,82359101,82375082,82497654,82522689,82591366,82866482,82978076,83085702,83129008,83305719,83377696,83513288,83589248,83953916,84076182,84537884,84829436,84862589,84963393,84977405,85023644,85215200,85215204,85269482,85314716,85895996,85940277,86019434,86535526,87004869,87051597,87173380,87186976,87190911,87310768,87333454,87567545,87632924,87659364,87921404,88154200,88160535,88303634,88305596,88373153,88458590,88593404,88720173,88788453,88853793,88926486,88927082,88987085,89103914,89451430,89979434,90036582,90314204,90530424,90890020,90963645,91066842,91265714,91519082,91693860,91713933,91771154,92188394,92950774,93520134,93799908,93952449,93999545,94007036,94018325,94037904,94307045,94331742,94389414,94570844,94616234,95106250,95343176,95695004,95867100,95975324,96147789,96255356,96839954,96868662,96914474,97027888,97438245,97462113,97683774,97797482,97806784,97836764,97942634,98085348,98092293,98185540,98224614,98708577,98911550,99173475,99431954,99547126,99962817,...,2387998046664628608751649362022179629785437140030078483745016464544633841038379424490711320063024481830588655414002640762775157818066844722834080052729101115017025501165425220428785468130295757570774155617710999202226727550453047377577925041159019083842733186122035749507295070651850644304018250404643718335063346973036912894702411502110148393010634093828327704399456534757151004744127018683747034505256935082451249622949446552361772921363661996991713712583481552790639063711987106786766058279991693501194124756729749253776705383678899839338010280001885226177761939193341671826426014686810242988141156174104557688156282563728100528414859973793447987389758268197695896826775898010268486643008061320528401523466398846602305298715350250790869165159756104813196677556492060361877258303612424640981368578086086728558394002040951483524944338681115628888916060420209592884794553647795403620237812883174842122304162000056304490675792861387597022548192090959317252865316847425386157196296937400559187801199106822599023426118735225342977077524442737791312535534830432761307552650853780887650275907393312866581360152788273477421161543778333849144105523062172333616592252350446071576538962942916764415223674393251665054099565736995190518955014753231681760895762429350703873687745962497232022605806311232463526907585122775195441032419197972255243057634631840126340453950579123812010822208428261872434104104285445208216446209812179475836651526879616366443495634520959093655596052375001545187600345895249558876472724180972882152351144978169534479450152639566964316900640027217111070411134542470193654180405362627187683173611588340828123657979068474794783805526043667960471459213787021145001111140751229926667516928658495495718301631137291669761764329699232764708667310571244193009781390511699257995575493208327743638829559429227778070632348526613692348206840897266225124229088994634700802515067320503499441260304526204989271827996588847573867180307630169311144131103949232638397206965126358634629770676733660740029642230510187249885838279199964039415756093893561403390855301328577219944299891543227778602730330541710148862358140226407383565326570976859896127361325629169917168627423215039302813473202875926791359668481159065335668778198167767372207060942595120050897257507115594767140920982365642555752679574440417107136929413612564316441941319480708440002898424302235773278469937536880912737728198974773510939978805862381733521888077590404}
15245   791614402768933706110748686307741778160566147658160420114758737: {60964,533155,639786,761650,913980,974912,989755,1096776,1172479,1187706,1233873,1674970,1749955,1960671,2009964,2099946,2845579,2984492,3115795,3570355,3738954,4024555,4047722,4263560,4284426,4677951,4796505,4829466,5082955,5116272,5143346,5710125,5755806,5782460,5988595,6090800,6099546,6836223,6852043,6852150,6938952,7186314,7243292,7308960,7493107,7645195,7795555,7796224,7806321,7851679,7873082,8040271,8178123,8222580,8246395,8704124,8770752,9146186,9174234,9354666,9437827,9514623,9867096,9895674,10133731,10181083,10313931,10347560,10495195,10585339,10701859,11100483,11242795,11247260,11333119,11637691,11641005,11840155,12174283,12250394,12287755,12417072,12585955,12594234,12772267,13065980,13479595,13482610,13491354,13496712,13853119,13969206,13993603,14018331,14208186,14481859,14615666,14730056,14745306,15103146,15183801,15279211,15288370,15679176,16151179,16175514,16179132,16190170,16345771,16571313,16638411,16743955,16979066,17039755,17143423,17268379,17441564,17639073,17897354,18346044,18718923,18795403,18920731,19253155,19284883,19428204,19694554,19790170,19867003,19986092,20092746,20282995,20345107,20447706,20528031,20558762,20688370,20731436,20771205,21104479,21164155,21270883,21352922,21897355,22155952,22905307,22920092,23103786,23214595,23652955,23681482,23748204,24339594,24605889,24727625,24734204,24826044,24909523,24916520,24925446,24951019,25052863,25396986,25435171,25596667,25717003,25915484,25984795,26037979,26275555,26276826,26364979,26567852,26728843,26902731,27341746,27505099,27662074,27726955,27857514,28031085,28186627,28383546,28551560,28661083,28733804,28885195,28900351,29215771,29292725,29369660,29420419,29434507,29463355,29673150,29899824,29970523,30164223,30329395,30911691,30989084,31049995,31181754,31530666,31651360,32026844,32120505,32153151,32378684,32603059,32775355,32804026,33070267,33272346,33485372,33621082,33637302,33779155,34065595,34261872,34396586,34524571,34662234,34678867,35028331,35110623,35126083,35146939,35151270,35243592,35356026,35600511,35607780,35923555,36081394,36170239,36395274,36536017,36778795,36821451,37022120,37063555,37259994,37390927,37490395,37494688,37981632,38210492,38484955,38544606,38702659,38787848,38932063,39330426,39488511,39649041,39760795,39764899,40266610,40534986,40878714,40892155,41112092,41146954,41368063,41581339,41649885,41846750,41879995,41980447,42029170,42181524,42368223,42525451,42682987,42729336,42758179,42852914,43006555,43108266,43313324,43397779,43521082,43558923,43636329,43637804,43990195,44134554,44270120,44411155,44426544,44476266,44831755,44988474,45251995,45287083,45452811,45469183,45573979,45804562,46181946,46194943,46394571,46542463,46604914,46870586,47208355,47542472,47647519,47712954,47753227,47842844,48070503,48220351,48286399,48319932,48918523,49070586,49137980,49295755,49431423,49442074,49472745,49476634,49479211,49486927,49712155,49803885,49979862,50109919,50131592,50216100,50255994,50266795,50338819,50435004,50685439,50971282,51051531,51051583,51179011,51456763,51607866,51655171,51671770,51742623,52194310,52770928,52788234,52820924,52898803,53124144,53293386,53415610,53485281,53563840,53576031,53672899,53720492,53798106,53865979,54302394,54406195,54538874,54616003,54794696,55092595,55168923,55223179,56398041,56454859,56650026,56823679,56900323,56902651,57793066,58373395,58426627,58731560,58896125,58965576,59024805,59154906,59183594,59189995,59278714,59367294,59654586,59733595,59764662,59784859,59921192,60018079,60080539,60106251,60259320,60280136,60320154,60412195,60775387,61213791,61252063,61360555,61381327,61527986,61644033,61946314,62006124,62232092,62339720,62567263,62633172,62959792,62974623,63148099,63631371,63770924,63771523,64032019,64098732,64164842,64276608,64296776,64793337,65287434,65392586,65583643,65804995,65806491,65837554,66031183,66073005,66082639,66111114,66278492,66336273,66928282,66957980,67009555,67140525,67411341,67677355,67791735,67815153,68279731,68346920,68519114,68569305,68599003,68845459,68906899,68980570,69004579,69613724,69916603,70048074,70063292,70132185,70267625,70286396,70404259,70412552,70413727,70477872,70603795,70675350,70695610,70829766,71001355,71027994,71155531,71333059,71401819,71616560,71680314,71863999,72311184,72333873,72407770,72455995,72494634,72520316,72621723,72737882,72840634,72955484,73074127,73078219,73093627,73140592,73379155,73632666,73666623,74563300,74706123,74807664,75059162,75061051,75228703,75350755,75387040,75858079,75892639,76288604,76320764,76380082,76396922,76445227,76456363,76675570,76743560,76890285,76921555,77134925,77178891,77182795,77314003,77574355,77770394,77792223,78268483,78505939,78526186,78965994,78999679,79214121,79215771,79287606,79419194,80349576,80411466,80568630,80686411,80732325,80782123,80957083,81037832,81211555,81212826,81350082,81506623,81630125,82016304,82230591,82283166,82302585,82361551,82776684,83425279,83466610,83633576,83825419,83949802,84046652,84133244,84158622,84213471,84320203,84321150,84724554,84810420,84834732,84899402,85039666,85201626,85310539,85392831,85580936,85939872,86097595,86114480,86225395,86288371,86336505,86488874,86610634,86663107,86889324,86947194,87134491,87341151,87687610,87789424,88054986,88092682,88277107,88307211,88522603,88541746,88931263,89153755,89389256,89475960,89942560,90211570,90393273,90420906,90464448,90745507,90942362,91052155,91101320,91167561,91363279,91532049,91659391,91664060,91708819,91808995,91841685,91866931,92010684,92092272,92117451,92268342,92296556,92305866,92312755,92427082,92561910,92619354,92926363,93027979,93089226,93189583,93193123,93287834,93417980,93754042,94087773,94091803,94302525,94403770,94446595,94556042,94629274,94683560,94821955,95053066,95434521,95441024,95496812,95657151,95696395,96208923,96278553,96296794,96444571,96484604,96682356,96738763,96758751,96817795,96878790,96960187,96977779,97237951,97422091,97439395,97453866,97664479,97956150,97964464,97994251,98097247,98407579,98577970,98589403,98732704,98763102,98899231,98927155,98971954,99727004,...,3581997069996942913127474043033269444678155710045117725617524696816950761557569136736066980094536722745882983121003961144162736727100267084251120079093651672525538251748137830643178202195443636356161233426566498803340091325679571066366887561738528625764099779183053624260942605977775966456027375606965577502595020459555369342053617253165222589515951140742491556599184802135726507116190528025620551757885402623676874434424169828542659382045492995487570568875222329185958595567980660180149087419987540251791187135094623880665058075518349759007015420002827839266642908790012507739639022030215364482211734261156836532234423845592150792622289960690171981084637402296543845240163847015402729964512091980792602285199598269903457948073025376186303747739634157219795016334738090542815887455418636961472052867129130092837591003061427225287416508021673443333374090630314389327191830471693105430356719324762263183456243000084456736013689292081395533822288136438975879297975271138079235794445406100838781701798660233898535139178102838014465616286664106686968803302245649141961328976280671331475413861089969299872040229182410216131742315667500773716158284593258500424888378525669107364808444414375146622835511589877497581149348605492785778432522129847522641343643644026055810531618943745848033908709466848695290361377684162793161548628796958382864586451947760189510680925868685718016233312642392808651156156428167812324669314718269213754977290319424549665243451781438640483394078562502317781400518842874338314709086271459323228526717467254301719175228959350446475350960040825666605616701813705290481270608043940781524760417382511242185486968602712192175708289065501940707188820680531717501666711126844890001275392987743243577452446705937504642646494548849147063000965856866289514672085767548886993363239812491615458244339143841667105948522789920538522310261345899337686343633491952051203772600980755249161890456789307483907741994883271360800770461445253966716196655923848957595810447689537951944656015100491110044463345765280874828757418799946059123634140840342105086282951992865829916449837314841667904095495812565223293537210339611075347989856465289844191041988443754875752941134822558954220209804313890187039502721738598003503167297251651058310591413892680076345886260673392150711381473548463833629019361660625660705394120418846474662911979221062660004347636453353659917704906305321369106592298462160266409968208793572600282832116385606}
15246   795168962125192864446972467059891033820239431719340275690484537: {76205,91446,198029,289313,335126,441293,517718,714353,805229,853048,896033,959679,1107629,1142475,1218640,1370970,1462368,1469453,1583608,1619873,1645164,1649933,1781559,2099873,2154566,2458529,2512455,2516726,2607629,2614228,2679952,2799928,2905229,3014946,3149919,3239318,3419606,3438893,3498029,3730615,3940529,4139318,4146413,4476738,4586273,4732493,4985272,5035718,5199053,5329450,5344433,5460593,5608431,5634593,5712568,5750246,6071583,6212513,6237268,6395340,6414029,6426639,6439288,6643853,6817718,6821696,6844529,6901793,7073393,7187633,7228075,7244199,7358753,7501133,7613500,7674408,7700129,7715019,8040353,8132728,8266529,8464013,8633709,8673690,8689229,8761286,8885873,8970029,9026093,9054113,9054115,9114964,9136200,9149319,9251936,9529229,9581752,9745280,9946529,10278225,10306733,10338518,10408428,10513046,10555313,10775729,10779471,10864938,10880155,10904164,10963440,10968173,11515853,11679533,11694336,11809623,11870129,11904086,11924513,12087473,12232312,12331373,12333870,12358433,12472888,12601613,12686164,12768806,12888799,12934450,13056186,13156128,13166513,13194232,13621229,13629926,13719279,13751908,13761351,14031999,14059075,14206253,14487446,14761073,14800644,14829446,14843511,14892653,15155213,15341366,15390833,15469229,15521340,15521453,15599729,16332475,16378529,16556096,16792312,16870890,17022029,17073293,17207318,17329133,17482253,17863793,17914529,17988472,17995616,18049718,18375591,18412570,18625608,18691108,18891351,18944248,18972593,19047629,19055846,19386458,19598970,19660408,19868273,19890326,19967153,20137528,20223915,20237031,20245068,20389286,20410529,20459633,20484173,20900129,20905568,20953809,21216653,21265229,21312279,21338033,21434993,21567352,21572176,21797453,21801955,21923499,21990029,22062113,22095084,22117959,22158113,22184548,22654719,22660013,22932555,22945229,23028518,23134733,23300129,23418029,23518764,23582753,23682566,23723633,23934413,24004529,24074573,24263271,24268698,24285255,24461392,24659318,24747953,24958564,24982615,25116593,25437473,25468599,25734029,25904272,25914295,25915853,26162346,26255393,26345633,26458253,26682893,26790328,26794913,26817293,26846031,26918246,27196529,27263213,27263608,27370708,27418529,27462833,27519066,27595553,27694940,28013933,28079729,28189229,28650115,28733729,28842029,29101133,29122673,29142306,29165729,29423393,29487629,29541831,29637233,29685255,29701229,29979138,30139119,30189473,30273953,30379373,30671559,30757229,30805048,30838143,30881846,30917755,31007693,31032555,31070129,31097154,31145650,31215533,31319153,31664272,31895729,32029383,32303729,32364653,32394355,32445773,32452792,32752406,32807852,32809229,32969933,33101392,33209815,33210029,33233928,33371318,33448973,33508529,33525686,33647213,33805229,33862648,33864353,33939367,33943073,34060913,34158893,34354253,34380138,34529393,34655679,34742573,35035768,35166029,35204333,35522223,35622306,35671718,35689450,35831729,35870308,35917255,35963693,36338573,36450413,36509391,36712075,36913313,37101306,37143352,37188653,37239066,37374780,37388169,37498529,37552973,37789526,37844728,37939718,37985933,38095479,38573729,38626733,38736355,38873226,39065633,39415239,39482273,39534029,39564200,39585713,39620129,39791729,39851778,39866432,39928433,40033555,40218964,40335473,40386029,40473355,40554029,40754573,40766006,40804529,40837793,40854413,40913318,41012619,41060486,41215588,41332913,41349293,41493111,41496353,41575672,41577773,41599663,41786271,41794166,41856715,42030029,42040888,42396833,42524246,42575319,42696653,42827340,42868913,42870868,42931313,43100706,43333793,43517729,43670129,43851953,43865143,43897229,43972529,44054490,44077613,44363128,44375693,44464493,44509725,44597153,44743793,44849736,44904173,45005729,45034673,45265718,45336653,45507629,45682496,45888113,45902093,45930029,46069229,46110833,46174562,46216312,46235213,46277650,46483626,46522913,46546166,46685729,46753229,46772631,46793633,46814164,46868360,46887629,46991456,46994573,47047853,47141368,47295999,47312333,47443373,47467348,47477040,47482529,47763115,47780333,47945359,48023153,48040266,48086573,48095318,48313229,48400673,48438029,48462893,48484810,48500129,48527032,48568026,48868529,48932966,49095268,49205873,49206039,49265453,49312973,49442993,49488518,49679992,49758029,49907633,49908519,49989511,50044529,50067233,50078573,50101229,50179718,50214029,50228058,50236493,50431623,50455953,50569613,50635373,50642176,50711729,50744333,50867318,50874029,50927729,51002573,51004406,51087629,51161633,51193229,51224753,51245729,51350129,51390115,51392808,51414806,51594879,51628013,51678833,51779873,51810029,51979553,51993351,52009229,52078193,52136993,52282733,52417133,52431043,52440568,52587629,52615793,52651348,52699853,52726905,52745119,52820129,52865388,53034039,53043446,53110433,53199473,53226029,53243693,53357729,53411670,53504813,53513393,53581718,53615729,53632673,53716913,53841773,53891213,54002047,54046648,54110129,54122091,54141655,54252833,54504952,54547255,54592911,54598253,54709793,54724529,54784406,54812273,54834029,54884513,54941729,54963053,55033613,55089818,55131053,55151729,55220129,55233713,55321229,55337650,55498673,55533180,55594733,55613729,55626353,55707629,55756973,55830029,55889991,55919729,56076653,56093729,56107046,56133293,56216753,56242032,56259679,56298413,56404493,56420129,56490964,56497229,56512433,56562593,56607053,56679713,56952353,56965229,56972448,56988943,56999213,57016013,57061553,57102113,57102643,57137933,57207629,57263729,57274733,57292913,57315738,57318029,57397793,57437729,57470129,57476513,57477688,57523373,57541613,57545318,57562529,57611693,57655853,57669233,57692813,57700529,57738029,57754913,57814193,57816909,57866093,57894833,57911213,57920033,57925229,57937073,57954893,57961133,57973229,57994529,58003853,58011533,58045613,58057229,58067693,58078564,58082573,58091633,58092173,58100129,58101293,58104353,58106033,58107629,58108013,58109729,58109873,58181772,58193318,58322486,58846072,58995639,59235392,59301688,59428090,59803555,59984632,60242726,60399915,60603748,60622886,60802479,61318071,61422475,61575928,61610983,61668138,61720431,61859428,62130566,62664490,62770125,63005371,63043755,63272286,63617272,63998018,64094004,64279371,64353206,64426576,64662399,64969986,65281623,65427448,65456706,65567846,65908564,65963660,66026155,66201831,66405180,66409526,66639816,66714399,66954800,67007992,67150615,67246672,67482711,67992199,68068708,68493370,68541446,68706843,68775446,68810488,68990164,69272919,69907371,70305879,70384312,70512086,70832192,70908103,71057848,71313708,71434708,71538518,71569431,71730808,71764266,72403192,72479898,72777206,73032751,73179379,73414450,73558564,73605879,73706970,74163111,74214951,74218646,74883319,74901490,74969793,74984726,75197388,75324150,75350170,75383991,75533368,75652506,75959318,76456923,76815746,77134646,77226019,77411799,77507655,77790115,77924650,78083318,78215599,78291465,78620768,78699740,78873208,79156392,79182351,79231386,79539448,79638518,79686216,79713655,79940079,80123415,80141668,80345760,80370970,80426872,80580738,80697159,80758406,81453591,81561926,81618388,81661718,81808311,82192044,82651718,82674832,82848115,83424763,83510896,83697475,83966164,84205766,84597634,84841828,84975039,85433650,85464976,85702144,85718906,86375126,86391116,86689599,86928518,87017155,87049912,87294566,87476726,87579115,87741988,87748886,87857995,88015690,88039039,88097340,88148152,88448364,88732359,88775391,88824566,88918071,89050941,89481879,89520700,89646993,89881788,89966486,90388980,90420204,90480231,90650395,90998966,91194355,91425740,91759718,92048407,92151367,92177318,92291979,92919471,93001718,93009186,93204125,93327446,93348138,93397432,93509580,93731366,93949758,93970496,94233800,94439688,94703992,94846423,95311046,95360755,95388518,95400955,95573752,95656386,95929450,96148098,96231206,96247263,96414912,96445164,96635242,96659512,96828964,96933319,97333483,97607978,97931151,98088879,98176888,98222164,98369318,98440886,98756331,99166671,99417738,99608164,99743552,...,5372995604995414369691211064549904167017233565067676588426287045225426142336353705104100470141805084118824474681505941716244105090650400626376680118640477508788307377622206745964767303293165454534241850139849748205010136988519356599550331342607792938646149668774580436391413908966663949684041063410448366253892530689333054013080425879747833884273926711113737334898777203203589760674285792038430827636828103935515311651636254742813989073068239493231355853312833493778937893351970990270223631129981310377686780702641935820997587113277524638510523130004241758899964363185018761609458533045323046723317601391735254798351635768388226188933434941035257971626956103444815767860245770523104094946768137971188903427799397404855186922109538064279455621609451235829692524502107135814223831183127955442208079300693695139256386504592140837931124762032510165000061135945471583990787745707539658145535078987143394775184364500126685104020533938122093300733432204658463818946962906707118853691668109151258172552697990350847802708767154257021698424429996160030453204953368473712941993464421006997213120791634953949808060343773615324197613473501251160574237426889887750637332567788503661047212666621562719934253267384816246371724022908239178667648783194771283962015465466039083715797428415618772050863064200273042935542066526244189742322943195437574296879677921640284266021388803028577024349968963589212976734234642251718487003972077403820632465935479136824497865177672157960725091117843753476672100778264311507472063629407188984842790076200881452578762843439025669713026440061238499908425052720557935721905912065911172287140626073766863278230452904068288263562433598252911060783231020797576252500066690267335001913089481614865366178670058906256963969741823273720594501448785299434272008128651323330490044859718737423187366508715762500658922784184880807783465392018849006529515450237928076805658901471132873742835685183961225861612992324907041201155692167880950074294983885773436393715671534306927916984022650736665066695018647921312243136128199919088685451211260513157629424427989298744874674755972262501856143243718847834940305815509416613021984784697934766286562982665632313629411702233838431330314706470835280559254082607897005254750945877476587465887120839020114518829391010088226067072210322695750443529042490938491058091180628269711994367968831593990006521454680030489876557359457982053659888447693240399614952313190358900424248174578409}
15247   798739355140253494548850412663022513077180561616224199789751446: {121928,137169,502689,746417,776577,1066310,1279572,1385657,1523300,1827960,1949824,1979510,2056455,2193552,2344958,2375412,2449937,2467746,3180353,3231849,3267785,3349940,3362957,3499910,3775089,3921342,4019928,4199892,4362113,4522419,4858977,4998497,5129409,5634377,5691158,5968984,6185993,6208977,6231590,6715107,7116137,7140710,7186289,7477908,7553577,7796585,7994175,8009873,8049110,8095444,8097869,8374649,8384033,8527120,8568852,8625369,9279257,9355902,9516875,9556397,9593010,9658932,10165910,10226577,10232544,10286692,10703273,10832609,10913777,11101697,11393705,11420250,11511612,11544953,11564920,11830673,11977190,12032189,12181600,12199092,12924137,13010535,13141929,13630205,13653113,13672446,13704086,13704300,13877904,14372628,14387789,14486584,14617920,14693273,14986214,15290390,15507777,15591110,15592448,15612642,15703358,15739913,15746164,15769569,15857705,16080542,16153313,16297407,16356246,16445160,16492790,16576217,17189885,17202857,17408248,17541504,17620337,17856129,18292372,18348468,18500805,18709332,18871433,18875654,19029246,19087757,19153209,19299953,19401675,19584279,19734192,19791348,20225609,20260409,20267462,20362166,20444889,20627862,20695120,20771837,20990390,21170678,21403718,21731169,22200966,22212749,22244169,22485590,22494520,22666238,22738649,23012049,23275382,23282010,23363885,23441537,23680310,23855657,24348566,24500788,24575510,24834144,24941657,25171910,25188468,25306335,25544534,25600049,25810977,26131960,26954417,26959190,26965220,26982708,26993424,27025889,27074577,27618855,27706238,27730685,27886433,27938412,27987206,28019213,28032689,28036662,28396193,28416372,28583769,28963718,29079687,29231332,29398455,29460112,29490612,29607929,29629817,29835489,30206292,30367602,30558422,30576740,30583929,30656297,30740993,30772157,31198205,31358352,31464473,32302358,32351028,32358264,32380340,32500433,32691542,33114137,33142626,33276822,33487910,33872189,33958132,34079510,34191293,34213385,34286846,34536758,34542777,34618675,34683449,34883128,35278146,35419709,35523849,35660033,35794708,35821649,36378713,36403047,36438713,36692088,36785777,36826889,36988977,37070513,37437846,37590806,37841462,38506310,38569766,38817737,38856408,39243519,39281873,39389108,39580340,39734006,39770153,39972184,40185492,40229837,40377369,40439273,40565990,40690214,40885037,40895412,41009815,41056062,41117524,41248697,41278599,41376740,41462872,41542410,41586833,42208958,42328310,42461153,42535373,42541766,42705844,43255913,43403513,43469993,43609697,43713459,43794710,44227913,44311904,44837885,44968707,45810614,45840184,45885497,46207572,46322769,46429190,46645731,46718475,47290817,47305910,47362964,47496209,47496408,47691833,47788553,48679188,48889529,49128609,49211778,49455250,49468408,49652088,49793453,49819046,49833040,49850892,49902038,50056977,50105726,50273705,50288529,50292977,50415233,50793972,50849873,50870342,51046553,51193334,51379889,51434006,51490313,51519485,51570207,51830968,51888977,51969590,52075958,52348529,52486553,52551110,52553652,52729958,53135704,53433459,53457686,53507577,53534175,53588585,53805462,53860157,53878937,53966849,54683492,55004729,55010198,55324148,55453910,55580153,55651959,55665113,55715028,55858599,56062170,56144273,56261033,56373254,56463689,56684289,56767092,56909577,57103120,57151193,57249017,57322166,57467608,57572777,57770390,57800702,58309839,58431542,58503149,58517705,58585450,58631993,58739320,58840838,58869014,58926710,59334185,59346300,59773313,59777667,59799648,59941046,60026153,60203153,60209177,60328446,60333689,60658790,60902333,61149009,61369085,61369977,61586273,61590729,61823382,61978168,62099990,62175617,62363508,62691249,62764457,63011297,63061332,63302720,63352793,63786369,64053688,64241010,64306302,64651059,64757368,64966793,65206118,65263757,65550710,65608052,65814185,66081735,66091697,66140534,66544692,66706673,66722609,66882329,66970744,67155257,67242164,67274604,67558310,67898577,68131190,68523744,68572733,68793172,69014057,69049142,69261843,69324468,69357734,69416475,69597017,69725439,69819249,70056662,70221246,70252166,70293878,70302540,70373513,70487184,70613705,70712052,70875017,70930457,71201022,71215560,71454713,71847110,71910017,72060399,72142977,72162788,72340478,72598205,72727215,72790548,72800633,72852039,72858089,73072034,73327169,73399449,73557590,73642902,73888337,73943129,74044240,74127110,74232777,74294033,74519988,74781854,74980790,74989376,75269577,75342087,75754685,75963264,76062809,76168673,76300977,76405037,76420984,76506609,76969910,77013593,77089212,77122209,77129633,77311193,77324285,77405318,77575696,77864126,77883137,78660852,78687113,78977022,79298082,79521590,79529798,79565169,79802033,79929593,80117505,80372577,80473229,80533220,80891393,81069972,81071549,81722753,81757428,81784310,82176609,82224184,82293908,82335497,82381769,82385705,82454575,82634727,82736126,82865993,83006475,83031293,83050769,83162678,83299770,83627033,83693500,83759990,83960894,84058340,84160569,84363048,84577073,84643889,84736446,84906209,85050902,85085885,85365974,85458672,85516358,85705828,85904777,85973607,86013110,86216532,86237705,86317977,86365793,86626648,86795558,87042164,87117846,87272658,87275608,87289977,87442877,87483729,87980390,88269108,88540240,88822310,88853088,88906649,88952532,89142135,89293385,89650457,89663510,89970737,89976948,89987633,90364089,90503990,90574166,90905622,90934329,90938366,91147958,91436369,91609124,91948205,92126993,92363892,92389886,92502207,92639873,92789142,93084926,93195849,93209828,93363257,93687233,93741172,93813377,93996735,94416710,94748297,94766489,94908429,95084944,95227337,95295038,95347073,95425908,95506454,95684993,95685688,95997027,96141006,96326009,96440702,96529809,96572798,96639864,97454979,97677833,97739129,97837046,98024417,98141172,98185059,98275960,98351769,98374675,98393513,98591510,98662649,98845313,98862846,98884148,98945490,98953268,98958422,98973854,99401897,99424310,99550313,99607770,99614289,99651149,99959724,...,7163994139993885826254948086066538889356311420090235451235049393633901523115138273472133960189073445491765966242007922288325473454200534168502240158187303345051076503496275661286356404390887272712322466853132997606680182651359142132733775123477057251528199558366107248521885211955551932912054751213931155005190040919110738684107234506330445179031902281484983113198369604271453014232381056051241103515770805247353748868848339657085318764090985990975141137750444658371917191135961320360298174839975080503582374270189247761330116151036699518014030840005655678533285817580025015479278044060430728964423468522313673064468847691184301585244579921380343962169274804593087690480327694030805459929024183961585204570399196539806915896146050752372607495479268314439590032669476181085631774910837273922944105734258260185675182006122854450574833016043346886666748181260628778654383660943386210860713438649524526366912486000168913472027378584162791067644576272877951758595950542276158471588890812201677563403597320467797070278356205676028931232573328213373937606604491298283922657952561342662950827722179938599744080458364820432263484631335001547432316569186517000849776757051338214729616888828750293245671023179754995162298697210985571556865044259695045282687287288052111621063237887491696067817418933697390580722755368325586323097257593916765729172903895520379021361851737371436032466625284785617302312312856335624649338629436538427509954580638849099330486903562877280966788157125004635562801037685748676629418172542918646457053434934508603438350457918700892950701920081651333211233403627410580962541216087881563049520834765022484370973937205424384351416578131003881414377641361063435003333422253689780002550785975486487154904893411875009285292989097698294126001931713732579029344171535097773986726479624983230916488678287683334211897045579841077044620522691798675372687266983904102407545201961510498323780913578614967815483989766542721601540922890507933432393311847697915191620895379075903889312030200982220088926691530561749657514837599892118247268281680684210172565903985731659832899674629683335808190991625130446587074420679222150695979712930579688382083976887509751505882269645117908440419608627780374079005443477196007006334594503302116621182827785360152691772521346784301422762947096927667258038723321251321410788240837692949325823958442125320008695272906707319835409812610642738213184596924320532819936417587145200565664232771212}
15248   802325651781618716186204185541363196447475163859044616114487298: {106687,152410,182892,396058,471727,578626,670252,882586,926407,1035436,1428706,1599465,1610458,1650151,1706096,1792066,1904125,1919358,1920367,2215258,2284950,2369287,2437280,2741940,2924736,2938906,2969265,3167216,3239746,3290328,3299866,3517437,3563118,3701619,4187425,4199746,4309132,4917058,5024910,5033452,5215258,5222861,5228456,5249865,5359904,5599856,5635351,5810458,5882013,5895847,6029892,6242167,6299838,6478636,6839212,6877786,6996058,7461230,7881058,8278636,8292826,8536737,8953476,9055351,9172546,9347385,9464986,9970544,10058887,10071436,10119305,10398106,10658900,10688866,10711065,10921186,11134351,11216862,11269186,11380807,11425136,11500492,11708407,11953351,12073665,12143166,12360151,12425026,12474536,12675761,12790680,12828058,12853278,12858365,12878576,13007287,13287706,13635436,13643392,13689058,13803586,13809727,14033853,14146786,14208247,14375266,14389515,14456150,14488398,14717506,14921047,15002266,15227000,15232217,15248865,15348816,15400258,15430038,16080706,16265456,16533058,16928026,17130375,17267418,17331607,17347380,17378458,17484751,17522572,17771746,17940058,17965785,18052186,18108226,18108230,18229928,18272400,18298638,18473167,18503872,19058458,19163504,19490560,19682705,19893058,20118151,20487151,20508669,20556129,20556450,20613466,20677036,20816856,21026092,21110626,21438127,21551458,21558942,21583351,21729876,21760310,21808328,21926880,21936346,22089367,22479321,22520287,22865465,22935585,23031706,23359066,23386665,23388672,23418963,23555037,23619246,23740258,23808172,23849026,24120813,24174946,24464624,24534369,24566527,24662746,24667740,24716866,24739185,24945776,24982327,25203226,25372328,25537612,25777598,25868900,25942447,26112372,26312256,26333026,26388464,26484751,26821351,27242458,27259852,27438558,27489151,27503816,27522702,28063998,28118150,28313481,28412506,28543869,28974892,29127151,29449351,29522146,29577727,29601288,29658892,29687022,29785306,30215287,30310426,30401193,30522737,30543249,30625985,30682732,30781666,30938458,30941793,31042680,31042906,31199458,31485585,31530727,31756017,32105577,32390047,32664950,32757058,33112192,33301449,33354847,33474151,33584624,33593167,33706525,33728385,33741780,33948487,33999357,34044058,34146586,34183927,34414636,34658266,34767487,34825447,34913073,34923015,34964506,34975661,35401087,35520465,35727586,35829058,35976944,35991232,36099436,36280013,36474967,36522849,36539165,36751182,36825140,36863265,37084807,37251216,37382216,37757865,37782702,37888496,37945186,38095258,38111692,38220925,38316801,38772916,39197940,39320816,39488887,39736546,39780652,39934306,39952207,40110161,40275056,40438785,40447830,40474062,40475425,40490136,40778572,40821058,40861351,40919266,40968346,41257927,41356351,41503447,41559357,41601151,41698567,41800258,41811136,41907618,41980809,42054993,42181327,42433306,42447665,42530458,42624558,42676066,42704047,42869986,43134704,43144352,43284857,43445577,43594906,43603910,43846998,43980058,44124226,44190168,44235918,44316226,44369096,44398351,44487127,44743385,45309438,45320026,45352097,45359047,45551403,45699751,45837633,45865110,45890458,45910351,46057036,46243567,46269466,46408447,46493741,46600258,46815607,46836058,47037528,47165506,47334151,47365132,47447266,47452087,47868826,48009058,48149146,48453537,48484351,48526542,48537396,48570510,48743407,48922784,48926287,48962647,49037313,49107367,49236385,49286647,49318636,49475425,49495906,49713939,49915233,49917128,49965230,50088151,50231865,50233186,50284157,50874946,50937198,51119265,51396905,51430269,51468058,51720925,51790087,51805137,51808544,51828590,51831706,52147351,52293151,52324692,52510786,52635727,52691266,52916506,52917219,52940647,53263351,53316127,53342407,53365786,53382305,53524351,53580656,53589826,53634586,53692062,53727967,53836492,53902351,54216847,54230897,54393058,54427447,54526426,54527216,54564607,54741416,54837058,54896167,54925666,54981847,55003087,55038132,55191106,55389880,55510687,55701127,55775287,55866367,56027866,56046977,56094751,56156769,56159458,56229247,56310967,56378458,56386209,56530207,56662697,56692567,56762193,56791351,56926351,57016567,57091087,57115351,57288151,57300230,57414727,57467458,57493351,57558367,57684058,57685807,57759465,57768967,57783151,57803887,57817351,57854649,57909151,57975607,58018447,58033567,58060351,58098151,58107151,58111687,58119751,58121407,58202266,58245346,58284612,58331458,58599401,58846786,58975258,59078513,59083662,59203705,59274466,59370510,59402458,59601009,59958276,60278238,60355229,60378946,60547906,60758746,60848985,61035321,61343118,61514458,61584093,61610096,61676286,61763692,61835510,62015386,62065110,62140258,62194308,62291300,62313615,62431066,62638306,63313437,63328544,63492465,63791458,63812649,63820601,64058766,64607458,64729306,64788710,64891546,64905584,65504812,65615704,65618458,65692065,65939866,66202784,66419630,66420058,66467856,66742636,66868361,66897946,67017058,67051372,67294426,67350569,67610458,67725296,67728706,67878734,67886146,68121826,68317786,68354365,68708506,68715921,68760276,69058786,69155185,69311358,69485146,69643785,70071536,70332058,70408666,70958865,71044446,71244612,71343436,71378900,71663458,71740616,71834510,71927386,71946161,72677146,72900826,73018782,73424150,73817667,73826626,74182875,74202612,74286704,74377306,74460893,74478132,74728569,74749560,74776338,74853057,74997058,75105946,75158589,75579052,75689456,75798317,75879436,75971866,76190958,76305513,76366157,76790001,77147458,77151009,77253466,77472710,77746452,77954385,78113937,78131266,78826665,78830478,78964546,79068058,79094937,79128400,79171426,79240258,79583458,79703556,79732864,79856866,80067110,80186529,80354417,80437928,80670946,80708193,80772058,80946710,81108058,81509146,81532012,81609058,81675586,81708826,81826636,82010065,82025238,82120972,82431176,82515297,82665826,82698586,82986222,82992706,83151344,83155546,83180865,83199326,83572542,83588332,83713430,83724977,84052705,84060058,84081776,84093255,84559881,84793666,85048492,85150638,85393306,85654680,85737826,85741736,85862626,85983249,85991465,86201412,86311433,86655585,86667586,86701053,87035458,87340258,87647313,87703906,87730286,87794458,87878175,87945058,88108980,88155226,88261257,88303521,88390065,88726256,88751386,88928986,89019450,89194306,89487586,89699472,89808346,89911569,90011458,90069346,90203485,90492669,90531436,90673306,90988185,91015258,91364992,91776226,91804186,91860058,92138458,92221666,92349124,92432624,92436617,92470426,92555300,92735073,92967252,93045826,93092332,93149985,93239441,93371458,93506458,93545262,93587266,93628328,93736720,93775258,93982912,93989146,94010861,94095706,94282736,94591998,94624666,94886746,94934696,94954080,94965058,95526230,95560666,95890718,96046306,96080532,96173146,96190636,96361515,96459453,96626458,96801346,96876058,96925786,96969620,97000258,97054064,97136052,97304449,97737058,97809177,97865932,98190536,98326065,98396573,98411746,98412078,98530906,98625946,98885986,98977036,99210801,99359984,99516058,99815266,99817038,99979022,...,10745991209990828739382422129099808334034467130135353176852574090450852284672707410208200940283610168237648949363011883432488210181300801252753360237280955017576614755244413491929534606586330909068483700279699496410020273977038713199100662685215585877292299337549160872782827817933327899368082126820896732507785061378666108026160851759495667768547853422227474669797554406407179521348571584076861655273656207871030623303272509485627978146136478986462711706625666987557875786703941980540447262259962620755373561405283871641995174226555049277021046260008483517799928726370037523218917066090646093446635202783470509596703271536776452377866869882070515943253912206889631535720491541046208189893536275942377806855598794809710373844219076128558911243218902471659385049004214271628447662366255910884416158601387390278512773009184281675862249524065020330000122271890943167981575491415079316291070157974286789550368729000253370208041067876244186601466864409316927637893925813414237707383336218302516345105395980701695605417534308514043396848859992320060906409906736947425883986928842013994426241583269907899616120687547230648395226947002502321148474853779775501274665135577007322094425333243125439868506534769632492743448045816478357335297566389542567924030930932078167431594856831237544101726128400546085871084133052488379484645886390875148593759355843280568532042777606057154048699937927178425953468469284503436974007944154807641264931870958273648995730355344315921450182235687506953344201556528623014944127258814377969685580152401762905157525686878051339426052880122476999816850105441115871443811824131822344574281252147533726556460905808136576527124867196505822121566462041595152505000133380534670003826178963229730732357340117812513927939483646547441189002897570598868544016257302646660980089719437474846374733017431525001317845568369761615566930784037698013059030900475856153611317802942265747485671370367922451723225984649814082402311384335761900148589967771546872787431343068613855833968045301473330133390037295842624486272256399838177370902422521026315258848855978597489749349511944525003712286487437695669880611631018833226043969569395869532573125965331264627258823404467676862660629412941670561118508165215794010509501891754953174931774241678040229037658782020176452134144420645391500887058084981876982116182361256539423988735937663187980013042909360060979753114718915964107319776895386480799229904626380717800848496349156818}
15249   805927922323501263406221223879920182411136513398007761263632163: {228615,243856,274338,594087,837815,867939,1005378,1294295,1323879,1492834,1553154,1842467,2132620,2143059,2415687,2559144,2688099,2771314,2879037,3046600,3322887,3427425,3655920,3758599,3899648,3959020,4112910,4387104,4408359,4574899,4689916,4750824,4859619,4899874,4935492,4949799,5344677,5386415,6291815,6299619,6360706,6463698,6535570,6699880,6725914,6999820,7310719,7375587,7537365,7550178,7822887,7842684,8039856,8098295,8399784,8492887,8549015,8715687,8724226,8952211,9044838,9449757,9717954,9996994,10258818,10316679,10348295,10494087,10680679,10915219,11191845,11268754,11382316,11821587,11937968,12371986,12407779,12417954,12439239,12463180,12589295,13323625,13430214,13758819,14197479,14232274,14281420,14372578,14375615,14594707,14830871,14955816,15107154,15218519,15593170,15597159,15951187,15988350,16019746,16033299,16098220,16190888,16195738,16381779,16749298,16768066,16817207,16825293,16903779,17044295,17054240,17137704,17250738,17809187,18214749,18299327,18495887,18558514,18637539,18711804,19033750,19082287,19090279,19112794,19186020,19242087,19279917,19317864,19931559,20331820,20453154,20465088,20533587,20573384,20680799,20705379,21220179,21375239,21406546,21562899,21665218,21684225,21732597,21769187,21827554,21903215,22076259,22200787,22203394,22503399,22757207,22787410,22840500,23023224,23089906,23100387,23129840,23145057,23661346,23954380,24064378,24065839,24121059,24363200,24398184,24799587,25392039,25846295,25848274,25901127,25940471,25979927,26021070,26067687,26282615,26283858,26657619,26910087,27078279,27162339,27162345,27260410,27306226,27344892,27408172,27408600,27447957,27755808,28587687,28745256,28775578,28973168,29215247,29235840,29386546,29760215,29839587,29972428,30580780,30834675,30920199,30985439,31015554,31182220,31184896,31191791,31225284,31315591,31406716,31479826,31492328,31539138,31665939,31715410,31922015,31939687,32161084,32306626,32327187,32336125,32338413,32594814,32640465,32709439,32712492,32890320,32904519,32985580,33152434,33629927,34074815,34379770,34405714,34547559,34816496,35038599,35083008,35240674,35428869,35610387,35712258,35773539,36218615,36262419,36434759,36584744,36645431,36696936,36994119,37001610,37073615,37075299,37075411,37418664,37736159,37742866,37751308,37804839,38058492,38175514,38205239,38306418,38353415,38599906,38666397,38803350,38822959,39053111,39168558,39468384,39499539,39582696,39855331,40451218,40520818,40534924,40724332,40863687,40889778,40890439,41157837,41255724,41284053,41390240,41543674,41980780,42095997,42177225,42341356,42618759,42807436,43018295,43462338,43522687,43615459,43677487,44063807,44283219,44293271,44401932,44425498,44488338,44530533,44677959,44962759,44971180,44989040,45124295,45332476,45465639,45468847,45477298,45806279,46024098,46031425,46172499,46232087,46407687,46550764,46564020,46564359,46727770,46799187,46883074,47333399,47360620,47639615,47711314,47898739,48466145,48697132,48997425,49001576,49135587,49151020,49505639,49668288,49725815,49883314,50343820,50376936,50492147,50612670,50973215,51066087,51089068,51200098,51219879,51621954,51668879,51987399,52263920,52446759,52671011,53591379,53743587,53908834,53918380,53930440,53965416,53986848,54051778,54149154,55126773,55237710,55412476,55461370,55772866,55876824,55974412,56038426,56065378,56073324,56674053,56792386,56832211,56832744,56838947,56917779,57142887,57167538,57413741,57571295,57927436,58159374,58462664,58757171,58796910,58920224,58981224,59206415,59215858,59259634,59413267,59581639,59604819,59670978,59895887,59901459,59924759,60412584,60671745,60711093,60721687,60735204,61116844,61153480,61167858,61231587,61312594,61378899,61452519,61481986,61544314,61648295,61799527,62396410,62558087,62700387,62716704,62773039,62861427,62928946,63649959,63795687,63936837,64014099,64304979,64604716,64702056,64716528,64760680,65000866,65383084,65392359,65405865,65770497,65970087,66186339,66228274,66248087,66285252,66353877,66474339,66553644,66926399,66975820,67295615,67542319,67744378,67916264,67964157,67980039,68159020,68382586,68426770,68573692,68797665,68835687,69073516,69085554,69237350,69366898,69404199,69766256,69900387,70254087,70383187,70556292,70748259,70839418,70939999,71047698,71170899,71259719,71320066,71420927,71589416,71643298,71684447,71803239,72013587,72127279,72223719,72757426,72789813,72806094,72855765,72877426,72901679,73301887,73384176,73571554,73653778,73977954,73978979,74141026,74243859,74411159,74875692,74947845,75024019,75181612,75349779,75682924,75878627,76154387,76312419,76405797,77012620,77139532,77202087,77204615,77520439,77635474,77712816,77742885,77747559,77765171,77864125,78487038,78563746,78766179,78778216,78835159,79036899,79160680,79295351,79374759,79468012,79540306,79648547,79944368,80048679,80370019,80370984,80384739,80451879,80459674,80538093,80754738,80878546,80978567,81131980,81380428,81589587,81770074,81789639,81790824,81881015,81924787,82019630,82112124,82235048,82255587,82388499,82497394,82557198,82753480,82786659,82925744,83067859,83084820,83173666,83428295,83814215,84041799,84145807,84239187,84343127,84417916,84446479,84567687,84656620,84922306,85070746,85083532,85411688,85916719,85950345,86201187,86511826,86526087,86807026,86939986,87045859,87219394,87303399,87368019,87426918,87497187,87589420,87802039,88270179,88455826,88462887,88481759,88623808,88625493,88911699,89055765,89103687,89179295,89223625,89288879,89293447,89675770,89937414,90332087,90417357,90568419,90821859,91138119,91621228,91680368,91770994,91813271,92014677,92139859,92271687,92415144,92514429,92538959,92645538,92753265,92858380,93023079,93097665,93210387,93291462,93436950,93646599,93957459,94182931,94473815,94581634,94611820,94725928,94849295,94992418,94992816,95218979,95383666,95577106,95598919,95687187,96088149,96456371,96911187,97093959,97183065,97337319,97358376,97779058,98156759,98257218,98423556,98427687,98859187,98909799,98910500,98936816,99232727,99304176,99586906,99629445,99630087,99638092,99666080,99701784,99804076,...,16118986814986243109073633193649712501051700695203029765278861135676278427009061115312301410425415252356473424044517825148732315271951201879130040355921432526364922132866620237894301909879496363602725550419549244615030410965558069798650994027823378815938449006323741309174241726899991849052123190231345098761677592067999162039241277639243501652821780133341212004696331609610769282022857376115292482910484311806545934954908764228441967219204718479694067559938500481336813680055912970810670893389943931133060342107925807462992761339832573915531569390012725276699893089555056284828375599135969140169952804175205764395054907305164678566800304823105773914880868310334447303580737311569312284840304413913566710283398192214565560766328614192838366864828353707489077573506321407442671493549383866326624237902081085417769159513776422513793374286097530495000183407836414751972363237122618974436605236961430184325553093500380055312061601814366279902200296613975391456840888720121356561075004327453774517658093971052543408126301462771065095273289988480091359614860105421138825980393263020991639362374904861849424181031320845972592840420503753481722712280669663251911997703365510983141637999864688159802759802154448739115172068724717536002946349584313851886046396398117251147392285246856316152589192600819128806626199578732569226968829586312722890639033764920852798064166409085731073049906890767638930202703926755155461011916232211461897397806437410473493595533016473882175273353531260430016302334792934522416190888221566954528370228602644357736288530317077009139079320183715499725275158161673807165717736197733516861421878221300589834691358712204864790687300794758733182349693062392728757500200070802005005739268444844596098536010176718770891909225469821161783504346355898302816024385953969991470134579156212269562099526147287501976768352554642423350396176056547019588546350713784230416976704413398621228507055551883677584838976974721123603467076503642850222884951657320309181147014602920783750952067952209995200085055943763936729408384599757266056353633781539472888273283967896234624024267916787505568429731156543504820917446528249839065954354093804298859688947996896940888235106701515293990944119412505841677762247823691015764252837632429762397661362517060343556488173030264678201216630968087251330587127472815473174273541884809135983103906494781970019564364040091469629672078373946160979665343079721198844856939571076701272744523735227}
15250   809546237348157223522660792526542682475537796086109627457549356: {213374,258961,304820,350221,365784,411507,792116,943454,1157252,1340504,1349329,1508067,1530049,1710481,1765172,1852814,2070872,2239251,2250049,2329731,2518861,2608321,2665775,2857412,2965441,3198930,3220916,3300302,3412192,3498961,3584132,3808250,3838716,3840734,4156971,4206289,4382401,4430516,4569900,4646029,4738574,4874560,4948775,5258641,5345869,5483880,5694061,5849472,5862395,5877812,5938530,6169365,6214189,6334432,6479492,6580656,6599732,6903661,7034874,7075309,7126236,7246669,7349811,7403238,7417741,7503169,8374850,8399492,8618264,8691601,8749775,9028561,9541059,9615469,9695547,9803355,9834116,10049820,10066904,10088871,10198849,10430516,10445722,10456912,10499730,10719808,11026129,11199712,11270702,11325267,11620916,11764026,11791694,11927821,12059784,12090829,12415981,12484334,12599676,12659089,12957272,13086339,13304209,13544941,13567257,13678424,13755572,13992116,14167027,14227895,14576931,14922460,14995491,15388227,15447469,15525841,15578975,15762116,16383181,16557272,16585652,16770001,16903131,17073474,17078161,17851775,17906952,17919661,18001711,18110702,18345092,18374989,18557979,18626931,18694770,18929972,18978061,19053121,19501969,19941088,20022349,20117774,20122775,20142872,20145321,20238610,20253827,20465581,20539201,20612749,20796212,21271441,21317800,21344269,21348411,21377732,21422130,21489709,21558867,21842372,21852049,22268702,22284481,22433724,22538372,22660731,22761614,22850272,22999441,23000984,23389755,23416814,23906702,23982525,24029619,24058381,24147330,24286332,24293607,24720302,24850052,24949072,25123947,25152099,25351522,25414775,25513681,25581360,25656116,25706556,25716730,25757152,25876107,26014574,26575412,27204781,27270872,27286784,27378116,27471181,27555787,27603949,27607172,27619454,27837771,27934609,28066369,28067706,28293572,28416494,28550625,28669191,28750532,28779030,28785901,28850881,28912300,28976796,29174701,29432461,29435012,29753041,29842094,29880769,29942975,30004532,30135361,30198829,30325549,30388801,30454000,30464434,30497730,30679731,30697632,30800516,30860076,31266769,31453069,32011651,32109819,32161412,32497827,32530912,32678509,32741331,32799469,32980369,33066116,33305091,33856052,33993229,34181115,34260215,34260750,34404241,34534836,34634859,34637521,34663214,34694760,34756916,34969502,35045144,35215681,35492019,35543492,35843341,35880116,35931570,36069421,36096567,36104372,36216452,36216460,36459856,36462289,36544800,36597276,36740749,36851629,36946334,36962221,37007744,37465535,37565329,37998481,38116916,38225975,38327008,38639569,38772411,38977775,38981120,39031605,39258395,39365410,39425787,39633421,39786116,39839341,40201355,40236302,40701649,40801729,40851661,40890615,40959339,40974302,41017338,41112258,41112900,41226932,41231975,41354072,41396161,41633712,41883601,42052184,42076561,42221252,42506509,42742849,42876254,42876379,43102916,43117884,43163367,43166702,43210129,43256461,43348909,43459752,43520620,43532941,43616656,43853760,43872692,43897549,44079819,44123089,44178734,44480209,44920129,44958642,45040574,45050701,45523921,45566509,45651469,45730930,45871170,45946561,46063412,46113601,46523331,46718132,46773330,46777344,46837926,46891309,47110074,47189135,47219739,47238492,47308707,47480516,47573115,47616344,47681869,47698052,47720641,48066349,48241626,48349892,48459939,48480961,48886861,48892221,48929248,49068738,49133054,49212481,49248301,49284049,49325492,49335480,49433732,49478370,49532269,49707409,49728651,49880749,49891552,49964654,50086381,50120401,50255761,50406452,50668655,50744656,50818189,50905415,50915281,51075224,51154831,51265741,51453229,51555196,51569655,51608571,51668689,51699181,51737800,51759949,51884894,52000141,52118509,52206529,52224744,52475975,52624512,52666052,52776769,52776928,52861011,52926695,52969502,53158801,53185549,53265361,53333291,53509295,53552461,53568387,53629249,53642702,53654701,53755789,53929921,54477229,54484916,54500161,54519704,54747661,54857281,54877116,54978302,55007632,55045404,55092109,55257421,55298029,55502415,55535629,55593409,55650541,55781329,55854481,56127996,56169409,56213975,56236300,56350381,56382349,56429761,56612929,56614299,56626962,56665595,56825012,56987149,57025489,57050689,57087738,57195841,57263271,57352081,57459627,57464941,57503821,57559981,57697069,57720721,57766081,57773389,57842509,57868141,57892621,57899859,57949784,57969229,58054189,58064449,58103761,58112401,58130221,58134541,58136269,58138321,58140301,58188455,58205025,58254302,58752837,58898702,59044292,59155454,59200775,59202576,59317784,59374044,59426731,59570612,60430574,60620852,60676827,60781227,60802386,60871415,61045474,61086498,61251970,61334667,61365464,61438775,61563332,61876916,61883586,62085360,62085812,62315511,62398916,62640739,62929775,62971170,63061454,63512034,63861335,64211154,64780094,65193507,65329900,65370899,65514116,66224384,66602898,66638247,66709694,66732507,66948302,67169248,67186334,67397975,67413050,67456770,67483560,67896974,67998714,68088116,68215947,68293172,68367854,68829272,68930939,69036147,69265595,69316532,69534974,69650894,69826146,69846030,69929012,69951322,69968015,70091655,70324611,70802174,71040930,71328907,71455172,71566971,71658116,71953888,71955667,71982464,72198872,72409295,72560026,72949934,73045698,73078330,73502364,73650280,73726530,74169614,74502432,74672687,74735227,74764432,74824971,75342707,75515730,75565404,75776992,75890372,75919005,76190516,76223384,76396055,76441850,76633602,76800147,77432931,77545832,78395880,78641632,78977774,79473092,79561304,79596127,79868612,79904414,80220322,80550112,80755895,80863251,80877570,80895660,80948124,80950850,80980272,81077667,81223731,81557144,81642116,81722702,81728855,81838532,81936692,82391639,82515854,82712702,82856565,82885187,83006894,83118714,83192055,83202302,83397134,83600516,83622272,83659299,83719775,83815236,83961618,84057639,84098067,84109986,84362654,84866612,84895330,85060916,85188579,85198775,85249116,85352132,85408094,85717115,85739972,85751307,86269408,86288704,86341895,86569714,86891154,87189812,87207820,87239061,87693996,87960116,88195365,88248452,88380336,88408067,88471836,88632452,88738192,88796702,88823787,88889451,88974254,89486770,89506467,90618876,90640052,90704194,90718094,91102806,91399502,91675266,91730220,91751787,91780916,91820702,91968891,92114072,92222979,92316471,92487134,92538932,92816894,92987482,93200516,93594615,93631214,93672116,93977015,94075056,94331012,94393419,94603655,94668302,94730264,94894532,94904174,94964311,95696111,95737652,96018116,96265775,96298292,96424415,96817259,96907074,96968702,97053084,97074792,97141020,97486814,97501299,97845568,97852574,97925294,98074626,98214734,98472770,98573294,98637272,98950850,98991812,99335015,99342411,99427878,99830466,99834256,99930460,...,21491982419981657478764844258199616668068934260270706353705148180901704569345414820416401880567220336475297898726023766864976420362601602505506720474561910035153229510488826983859069213172661818136967400559398992820040547954077426398201325370431171754584598675098321745565655635866655798736164253641793465015570122757332216052321703518991335537095706844454949339595108812814359042697143168153723310547312415742061246606545018971255956292272957972925423413251333975115751573407883961080894524519925241510747122810567743283990348453110098554042092520016967035599857452740075046437834132181292186893270405566941019193406543073552904755733739764141031886507824413779263071440983082092416379787072551884755613711197589619420747688438152257117822486437804943318770098008428543256895324732511821768832317202774780557025546018368563351724499048130040660000244543781886335963150982830158632582140315948573579100737458000506740416082135752488373202933728818633855275787851626828475414766672436605032690210791961403391210835068617028086793697719984640121812819813473894851767973857684027988852483166539815799232241375094461296790453894005004642296949707559551002549330271154014644188850666486250879737013069539264985486896091632956714670595132779085135848061861864156334863189713662475088203452256801092171742168266104976758969291772781750297187518711686561137064085555212114308097399875854356851906936938569006873948015888309615282529863741916547297991460710688631842900364471375013906688403113057246029888254517628755939371160304803525810315051373756102678852105760244953999633700210882231742887623648263644689148562504295067453112921811616273153054249734393011644243132924083190305010000266761069340007652357926459461464714680235625027855878967293094882378005795141197737088032514605293321960179438874949692749466034863050002635691136739523231133861568075396026118061800951712307222635605884531494971342740735844903446451969299628164804622768671523800297179935543093745574862686137227711667936090602946660266780074591685248972544512799676354741804845042052630517697711957194979498699023889050007424572974875391339761223262037666452087939138791739065146251930662529254517646808935353725321258825883341122237016330431588021019003783509906349863548483356080458075317564040352904268288841290783001774116169963753964232364722513078847977471875326375960026085818720121959506229437831928214639553790772961598459809252761435601696992698313636}
15251   813180667747225529490333106372392960835632944246412303673275259: {320061,381025,457230,487712,548676,990145,1172941,1188174,1415181,1446565,1675630,1735878,1812013,2010756,2177461,2206465,2588590,2647758,2779221,2985668,3106308,3571765,3684934,3849901,4026145,4265240,4286118,4397713,4480165,4798395,4831374,4950453,5118288,5376198,5538145,5542628,5712375,5758074,5761101,6093200,6645774,6854749,6854850,7107861,7311840,7347265,7517198,7540981,7799296,7854781,7918040,8099365,8225820,8249665,8774208,8808541,8816718,8854021,8907795,9149798,9379832,9501648,9719238,9799748,9870984,9899598,10137733,10499365,10552311,10589521,10689354,10772830,11104857,11182501,11337613,11968621,12134413,12292645,12562275,12583630,12599238,12721412,12777313,12927396,13038145,13071140,13174909,13399760,13451828,13999640,14321341,14487613,14526145,14621438,14751174,15074730,15100356,15645774,15668583,15685368,15734401,15749595,16079712,16196590,16799568,16819429,16906053,16985774,17008933,17098030,17150221,17194465,17431374,17448452,17490145,17527393,17625013,17646039,17687541,17904422,18089676,18142069,18653075,18726501,18814801,18899514,19435908,19702645,19874881,19993988,20125861,20452189,20517636,20633358,20696590,20732065,20988174,21047221,21361358,21830438,22107061,22383690,22537508,22764632,22931365,23017441,23089429,23363101,23643174,23662465,23862013,23875936,23889973,24734149,24743972,24815558,24835908,24878478,24926360,24960913,25178590,25610211,25727221,25995265,26048341,26494381,26647250,26722165,26819809,26860428,26894881,27033061,27166053,27302965,27517638,27525733,27689101,27729469,28042155,28172965,28394958,28464548,28562840,28745156,28751230,29036389,29047441,29189414,29655109,29661742,29730721,29911632,30176661,30214308,30357915,30437038,30640381,30664501,30989533,31062565,31186340,31194318,31902374,31976700,32039492,32066598,32070145,32070433,32133195,32196440,32381776,32391476,32616013,32763558,33219265,33342949,33403053,33498596,33536132,33634414,33650586,33757261,33807558,34088590,34108480,34142421,34222645,34275408,34501476,34508965,35125221,35366965,35618374,35860053,35938165,36140375,36184813,36220995,36429498,36439573,36598654,36793765,36795661,36836701,36991774,37080453,37117028,37212781,37275078,37423608,37487461,37505665,37586389,37887649,38027283,38067500,38164574,38180558,38225588,38372040,38433013,38484174,38500645,38559834,38575095,38635728,38718061,38947501,39021861,39863118,40201765,40240513,40663640,40906308,40930176,41067174,41146768,41332645,41361598,41410758,41429181,41664301,41746429,42101559,42320065,42356941,42440358,42624741,42699973,42750478,42813092,43125798,43168545,43330436,43368450,43446145,43465194,43538374,43655108,43806430,44069629,44110021,44152518,44289409,44294401,44401574,44406788,44429365,44622589,44690821,44763141,44850145,45006798,45130465,45270565,45270575,45305041,45514414,45574820,45681000,45696651,45746595,46046448,46179812,46200774,46213261,46259680,46290114,46318081,46467301,46561141,47322692,47339653,47551741,47646145,47666413,47704741,47908760,48128756,48131678,48174181,48242118,48726400,48796368,48937921,49009309,49599174,49732645,50706061,50784078,51072109,51195253,51391125,51533665,51692590,51696548,51802254,51880942,51903061,51914461,51959854,51994821,52036501,52042140,52135374,52346593,52362421,52454253,52565230,52567716,52776565,52919821,53315238,53694781,53730181,53820174,53878645,53897355,54156558,54324678,54324690,54400775,54456469,54520820,54612452,54637921,54689784,54816344,54817200,54840865,54895914,55176529,55419501,55511616,57166549,57175374,57330709,57490512,57551156,57579265,57806221,57849301,57946336,58397665,58430494,58471680,58773092,58987021,59048115,59350645,59520430,59622565,59679174,59808613,59944856,60225613,60354453,60437365,60799573,60999301,61161560,61461453,61526007,61656865,61668387,61669350,61792165,61840398,61970878,62031108,62364440,62369792,62383582,62450568,62631182,62813432,62959652,62984656,63008065,63078276,63137281,63174013,63331878,63341869,63430820,63547429,63796861,63844030,63879374,63932461,64057501,64314381,64322168,64443995,64613252,64654374,64672250,64676826,64750053,64819381,65130433,65189628,65280930,65418878,65424984,65609701,65780640,65809038,65832565,65971160,66268101,66304868,66695461,66724669,67173301,67259854,67437963,67486369,67560861,67852603,68105461,68106145,68149630,68309989,68596395,68759540,68806755,68811428,68872813,69095118,69440293,69479701,69616141,69632992,70077198,70159995,70166016,70256889,70295375,70432513,70481348,70665111,70857738,71031265,71220774,71362501,71424516,71547078,71929261,72105781,72362439,72437230,72524838,72869518,72877501,73103941,73107301,73169488,73290862,73393872,73603107,73699581,73805365,73988238,74003220,74147230,74150598,74150822,74217555,74314141,74463265,74800093,74837328,74944309,74946981,75472318,75485732,75502616,75609678,75776065,76116984,76351028,76410478,76425313,76486741,76612836,76706830,76954165,77199812,77332794,77346145,77606700,77607265,77634241,77645918,77827341,77929381,77998645,78106222,78299581,78337116,78537181,78897901,78936768,78999078,79031821,79165392,79454253,79710662,79823389,80148301,80464053,80599813,80902436,80913349,81041636,81069848,81448664,81539821,81662375,81727374,81779556,81780878,81892645,81983329,82315674,82467453,82478869,82511448,82568106,82780480,82888981,83087348,83165413,83256709,83961560,83976661,84191994,84354450,84665041,84666901,84682712,84701509,84928741,84940443,85110145,85237518,85344913,85366465,85581061,85614872,85631607,86036590,86307613,86645665,86924676,87045374,87230918,87354974,87381453,87411265,87473749,87818413,88127614,88348053,88566438,88586542,88733181,88803864,88850996,88976676,89061066,89318965,89355918,89572645,89674741,89925518,89927269,89942360,89962741,89978080,89994613,90248590,90645861,90664952,90931278,90937694,90954596,91203579,91568211,91612558,91629747,91877955,91904293,92007649,92048196,92062850,92135989,92344998,92464174,92755213,92804461,92815374,92825379,93101528,93128040,93128718,93226981,93455540,93598374,93766148,94130101,94213861,94456755,94592181,94614421,94666798,94721240,94862965,95238145,95252821,95268051,95279230,95360029,95422628,95797478,96316731,96602461,96694861,96778429,96896161,96932290,96998773,97170141,97394264,97704541,97994850,98003152,98271174,98302040,98446741,98629861,99011278,99336576,99341365,99451630,99554389,99678241,99766628,99793453,99835765,99904347,...,32237973629972486218147266387299425002103401390406059530557722271352556854018122230624602820850830504712946848089035650297464630543902403758260080711842865052729844265733240475788603819758992727205451100839098489230060821931116139597301988055646757631876898012647482618348483453799983698104246380462690197523355184135998324078482555278487003305643560266682424009392663219221538564045714752230584965820968623613091869909817528456883934438409436959388135119877000962673627360111825941621341786779887862266120684215851614925985522679665147831063138780025450553399786179110112569656751198271938280339905608350411528790109814610329357133600609646211547829761736620668894607161474623138624569680608827827133420566796384429131121532657228385676733729656707414978155147012642814885342987098767732653248475804162170835538319027552845027586748572195060990000366815672829503944726474245237948873210473922860368651106187000760110624123203628732559804400593227950782913681777440242713122150008654907549035316187942105086816252602925542130190546579976960182719229720210842277651960786526041983278724749809723698848362062641691945185680841007506963445424561339326503823995406731021966283275999729376319605519604308897478230344137449435072005892699168627703772092792796234502294784570493712632305178385201638257613252399157465138453937659172625445781278067529841705596128332818171462146099813781535277860405407853510310922023832464422923794795612874820946987191066032947764350546707062520860032604669585869044832381776443133909056740457205288715472577060634154018278158640367430999450550316323347614331435472395467033722843756442601179669382717424409729581374601589517466364699386124785457515000400141604010011478536889689192197072020353437541783818450939642323567008692711796605632048771907939982940269158312424539124199052294575003953536705109284846700792352113094039177092701427568460833953408826797242457014111103767355169677953949442247206934153007285700445769903314640618362294029205841567501904135904419990400170111887527873458816769199514532112707267563078945776546567935792469248048535833575011136859462313087009641834893056499678131908708187608597719377895993793881776470213403030587981888238825011683355524495647382031528505675264859524795322725034120687112976346060529356402433261936174502661174254945630946348547083769618271966207812989563940039128728080182939259344156747892321959330686159442397689713879142153402545489047470454}
15252   816831284723073230284515347507115655398964097897605698073715863: {167651,289427,426748,517922,609640,685845,700442,731568,805547,823014,896387,1198667,1560347,1584232,1710707,1782261,1886908,1980851,2280251,2314504,2513445,2603817,2681008,2698067,2698658,2876651,2995547,3016134,3060098,3420962,3530344,3588107,3705628,3732085,3882885,3971637,4030427,4141744,4236227,4478502,4500098,4659462,4675907,5037722,5216642,5331550,5527401,5549867,5694827,5714824,5930882,5955251,6070787,6243851,6387851,6397860,6429177,6441832,6502907,6600604,6824384,6928285,6997922,7168264,7247061,7361747,7616500,7674851,7677432,7681468,8064297,8207353,8313942,8354627,8412578,8637111,8764802,8777147,8861032,8973707,9057827,9139800,9225851,9292058,9477148,9616787,9644651,9749120,9897550,9968661,10061651,10200251,10282275,10310987,10449227,10517282,10642427,10691738,10967760,11192267,11275797,11388122,11698944,11724790,11755624,11847851,11877060,11956667,12249685,12338730,12417707,12428378,12668864,12687827,12958984,13064651,13161312,13199464,13225077,13306067,13724697,13807322,13866851,14069748,14150618,14252472,14371187,14493338,14578857,14661851,14699622,14806476,14835482,14849397,15006338,15475787,15606347,15684587,15901765,16034031,16159245,16338925,16488851,16617851,16749700,16798984,16814785,16875251,17157467,17236528,17383202,17499550,17998307,18057122,18377627,18402851,18875445,18898857,19055867,19082118,19230938,19391094,19606710,19668232,19678667,19919053,20049947,20099640,20133808,20177742,20271851,20397698,20493107,20542187,20861032,20891444,20909267,20913824,20999460,21006851,21152987,21347387,21439616,21492851,21638027,21810565,21932157,22052258,22071827,22126761,22399424,22541404,22612095,22650534,23026547,23241832,23468661,23528052,23583388,23663747,23855642,23936341,24015227,24085307,24119568,24181658,24225251,24294885,24341651,24573851,24831962,24968668,24992485,25035851,25199352,25318178,25478661,25517507,25647045,25914544,26147061,26172678,26425187,26537747,26608418,26627651,26856633,27089882,27134514,27275627,27356848,27408851,27497507,27511144,27960851,27984232,28092587,28171885,28202147,28334054,28349271,28455790,28746947,29153862,29179187,29265251,29458427,29501267,29714987,29844920,29906651,29990982,30140027,30224651,30776454,30834347,30894938,30929965,30950037,30959651,31044885,31051682,31084667,31157950,31482261,31524232,32042037,32196851,32278307,32379947,32745657,32766362,32824787,33114544,33171304,33225827,33524507,33540002,33575535,33722627,33806262,33880547,33998651,34018307,34146948,34156322,34292651,34370747,34875251,35048627,35278787,35355251,35450651,35464761,35580685,35621867,35703550,35813904,35839322,35905787,35931445,36003422,36221404,36412307,36486851,36690184,36746747,36749978,36765251,36857651,37115958,37133651,37206947,37223337,37253862,37317717,37389540,37571507,37752587,37767885,37859944,37956122,38106242,38397851,38592947,38645987,38982925,39003938,39189851,39432947,39553907,39605627,39691667,39811787,39882176,39970875,40044698,40049365,40203707,40235548,40245550,40285744,40290642,40406507,40477220,40489345,40507654,40825307,40875227,40931162,41078402,41225498,41276457,41403227,41592424,41712851,41873245,41920165,42195851,42418787,42529667,42542882,42592437,42635600,42688538,42696822,42750251,42755464,42844260,42979418,43000427,43117734,43126845,43217651,43279427,43684744,43704098,43784121,43920347,44443667,44492613,44502851,44537404,44568962,44867448,45015251,45076744,45102107,45321462,45523228,45574667,45655557,45659651,45673787,45700544,45954827,45996707,45998882,46001968,46135787,46396285,46779510,46791477,46819187,46833628,46913267,47417147,47508707,47584375,47690651,47781985,47813404,47853561,47883851,47964301,47965050,48059238,48099897,48116762,48151307,48264851,48294660,48465107,48502427,48527267,48572664,48587214,48761651,49125851,49145337,49233707,49305251,49376507,49440604,49700104,49716851,49728467,49890251,49898144,50107307,50129987,50163947,50247894,50304198,50451621,50475879,50510651,50703044,50711337,50773787,50828027,50829550,50892851,51000251,51027362,51132885,51162720,51223187,51254747,51307187,51312232,51413112,51433460,51514304,51566387,51752214,51780251,51840707,51870827,52029148,52040147,52451749,52647467,52759547,52852067,52980251,53115851,53150824,53169587,53258507,53285027,53381651,53416547,53427561,53511851,53516365,53563427,53648747,53716427,53766851,53899907,53941067,54014651,54143867,54163045,54207707,54255251,54409562,54450251,54541744,54568885,54573568,54602651,54644247,54744467,54756232,54788651,54868907,54897851,54897981,54942362,54961753,54962507,54998147,55040651,55110851,55111574,55187147,55207898,55214344,55238908,55487661,55508485,55547651,55649987,55675542,55681547,55762667,55799651,55830251,55869218,55912617,55956587,56130947,56132738,56135412,56153651,56281897,56400251,56426651,56458067,56473667,56550587,56587144,56625707,56703851,56770547,56817227,56826467,56832988,56867651,56934851,56968525,57004547,57011449,57025907,57042851,57101250,57209147,57246861,57259067,57270837,57277907,57314987,57338382,57458651,57501064,57511067,57520667,57527027,57558060,57571802,57573707,57603827,57627347,57701762,57710987,57713651,57724765,57726261,57742427,57787427,57815987,57824600,57839751,57908867,57930251,57937787,57953592,57968387,57985307,58009187,58070027,58080251,58089827,58109651,58127987,58139747,58146467,58149947,58151651,58154027,58155347,58349402,58864922,58870024,59153365,59506082,59684188,59761538,59794677,59885950,60009064,60160945,60270722,60397658,60651098,60777602,60908000,60928868,60995460,61359462,61395264,61600761,61601032,61720152,62042397,62116137,62533538,62906138,63030253,63660537,64023302,64125717,64219638,64322824,64620685,64688697,64995654,65052675,65061824,65197791,65307561,65357018,65482662,65598938,65709645,65960738,66064789,66132232,66228777,66602361,66610182,67510197,67712104,67986458,68019061,68151025,68265565,68271621,68362230,68520430,68521500,68808482,69069672,69269718,69275042,69301161,69326428,69389520,69435171,69513832,69939004,70090288,70431362,70936117,70984038,71086984,71267581,71686682,71760232,71863140,71938945,72138842,72193134,72197517,72208744,72363177,72432904,72432920,72919712,72924578,73061593,73089600,73194552,73466365,73481498,73703258,73892668,73924442,74015488,74097373,74398761,74913013,74931070,75130658,75996962,76176117,76233832,76451950,76654016,77256517,77279138,77538885,77544822,77703381,77821413,77939781,77955550,77962240,78063210,78203061,78516790,78699565,78730820,78847845,78851574,79017961,79266842,79288525,79331833,79572232,79678682,79972857,80402710,80472604,80730261,80766565,81234837,81403298,81463837,81487017,81487035,81603458,81703322,81781230,81918678,81948604,82034676,82224516,82225800,82343871,82453864,82463950,82708144,82792322,82881085,83267424,83457709,83767202,84104368,84153122,84442504,85013018,85219981,85485698,85752508,85752758,85763061,85949425,86014285,86205832,86235768,86326734,86333404,86420258,86512922,86697818,86919504,87041240,87065882,87233312,87645741,87707520,87745384,87795098,88073821,88101685,88159638,88246178,88357468,88960418,89041381,89280645,89405869,89518761,89840258,89917284,90081148,90101402,91047842,91133018,91302938,91461860,91742340,91893122,92084773,92126824,92227202,92504025,92760597,92956317,93046662,93436264,93546660,93554688,93575373,93675852,93782618,93946773,94220148,94357165,94378270,94439478,94476984,94617414,94961032,94997817,95146230,95232688,95363738,95396104,95438785,95441282,95766045,95819061,96132698,96483252,96499765,96699784,96919878,96961922,96971833,96981561,97008375,97015239,97371937,97773722,97784442,97858496,97921395,97955221,98128317,98137476,98266108,98424962,98496602,98568098,98650984,98670960,98713557,98867464,98956740,99064538,99414818,99457302,99761498,99783104,99929308,...,48356960444958729327220899580949137503155102085609089295836583407028835281027183345936904231276245757069420272133553475446196945815853605637390121067764297579094766398599860713682905729638489090808176651258647733845091232896674209395952982083470136447815347018971223927522725180699975547156369570694035296285032776203997486117723832917730504958465340400023636014088994828832307846068572128345877448731452935419637804864726292685325901657614155439082202679815501444010441040167738912432012680169831793399181026323777422388978284019497721746594708170038175830099679268665168854485126797407907420509858412525617293185164721915494035700400914469317321744642604931003341910742211934707936854520913241740700130850194576643696682298985842578515100594485061122467232720518964222328014480648151598979872713706243256253307478541329267541380122858292591485000550223509244255917089711367856923309815710884290552976659280501140165936184805443098839706600889841926174370522666160364069683225012982361323552974281913157630224378904388313195285819869965440274078844580316263416477941179789062974918087124714585548272543093962537917778521261511260445168136842008989755735993110096532949424913999594064479408279406463346217345516206174152608008839048752941555658139189194351753442176855740568948457767577802457386419878598736197707680906488758938168671917101294762558394192499227257193219149720672302916790608111780265466383035748696634385692193419312231420480786599049421646525820060593781290048907004378803567248572664664700863585110685807933073208865590951231027417237960551146499175825474485021421497153208593200550584265634663901769504074076136614594372061902384276199547049079187178186272500600212406015017217805334533788295608030530156312675727676409463485350513039067694908448073157861909974410403737468636808686298578441862505930305057663927270051188528169641058765639052141352691250930113240195863685521166655651032754516930924163370810401229510928550668654854971960927543441043808762351252856203856629985600255167831291810188225153799271798169060901344618418664819851903688703872072803750362516705289193469630514462752339584749517197863062281412896579066843990690822664705320104545881972832358237517525033286743471073047292758512897289287192984087551181030669464519090794034603649892904261753991761382418446419522820625654427407949311719484345910058693092120274408889016235121838482938996029239163596534570818713230103818233571205681}
15253   820498159790146564009475045291964789515078175938210973173682628: {533435,640122,762050,776883,914460,975424,1050663,1097352,1234521,1386203,1980290,2025191,2345882,2358635,2376348,2573363,2830362,2893130,3089051,3351260,3471756,3624026,4021512,4047987,4354922,4412930,4524201,4549883,4590147,4632035,4915091,5000471,5131443,5177180,5295516,5558442,5636603,5971336,6212616,6272231,6717753,6750147,6989193,7143530,7189127,7369868,7556583,7699802,7753403,7824963,7997325,8052290,8101067,8250755,8530480,8572236,8795426,8896323,8960330,9282923,9520625,9560171,9596790,9601835,9662748,9900906,10236576,10286171,10463843,10496883,10752396,10836887,11076290,11085256,11106083,11339111,11424750,11516148,11522202,11549531,11835347,11846435,12186400,12470913,12618867,12929243,13147203,13215683,13291548,13561991,13658507,13709498,13709700,13938087,14215722,14623680,14694530,14699111,14846325,15019943,15034396,15081962,15570347,15598592,15709562,15775923,15836080,16037607,16198730,16295651,16451640,16499330,17082183,17152487,17209703,17548416,17585507,17587185,17617082,17633436,17708042,17815590,18253403,18299596,18508095,18642567,18759664,19003296,19438476,19599496,19741968,19799196,19877507,20268443,20275466,20336603,20710983,20937125,20998730,21028307,21104622,21179042,21225927,21378708,21440627,21545660,21740007,22049433,22209714,22253223,22365002,22509507,22675226,23937242,24072251,24140243,24268826,24486203,24585290,24964211,25066151,25124550,25167260,25198476,25442824,25554626,25854792,26074803,26076290,26114305,26142280,26249325,26349818,26799520,26903656,27085683,27287507,27583703,27897491,27999280,28176755,28623177,28642682,28669451,28846407,28975226,29024891,29052290,29086641,29231267,29242876,29410065,29479235,29502348,29611367,29986451,30149460,30200712,30266613,30596547,30784403,31210835,31291548,31337166,31370736,31468802,31499190,31948163,32103911,32159424,32393180,32464787,32723483,33078387,33127451,33599136,33638858,33812106,33971548,33975801,34017866,34196060,34282187,34300442,34388930,34862748,34886951,34896904,34980290,35046947,35054786,35250026,35292078,35375082,35783463,35808844,36179352,36272487,36284138,36393371,36453191,37247943,37306150,37411031,37453002,37554371,37629602,37799028,37817747,37908347,37977267,38224151,38871816,38952647,39259017,39405290,39442151,39735827,39749762,39912627,39987976,40251722,40634823,40701771,40904378,41035272,41266716,41393180,41464130,41767283,41976348,42094442,42501081,42683685,42722716,43273127,43487591,43534283,43660876,43730793,44214122,44245451,44303363,44767380,44898203,44974691,44986473,45075016,45166427,45276755,45311027,45529264,45862730,46034882,46164681,46178858,46219367,46342407,46506971,46577523,46726202,46736925,47286348,47324930,47343851,47515043,47672711,47724026,47751872,47779946,47911703,48245927,48312551,48944387,49149543,49468298,49487944,49505507,49513751,49631116,49671816,49756956,49852720,49921826,50058203,50294435,50310003,50313431,50357180,50596525,50709393,51220422,51234483,51400007,51400547,51454442,51511271,51767267,51990530,52096682,52507931,52735787,52988762,53294500,53444330,53555325,53639618,53720856,53758983,53789762,53900903,54005133,54066122,54332106,54428603,54605930,55026803,55035276,55051466,55124967,55378202,55458938,55671755,55673937,55880793,56084310,56282471,56302451,56345930,56789916,56904035,56914283,56929096,56933123,56934183,57125680,57159363,57490312,57502460,57865703,57868067,58072778,58094882,58378828,58505907,58542035,59248091,59310218,59323484,59461442,59766755,59823264,60067047,60353322,60357947,60368325,60428616,60435963,60715830,60761481,60824603,60874076,60926531,61007507,61280762,61284551,61329002,61396743,61497683,61617603,61800755,61838247,61979066,62125130,62201111,62372680,62388636,62790203,63182651,63311627,63378791,63378805,63804748,63814323,63953400,64032807,64045233,64078984,64133196,64140290,64140866,64266390,64291825,64392880,64469127,64676601,64763552,64782952,64992647,65036435,65126147,65232026,65489051,65527116,65556147,66004667,66438530,66685898,66704603,66806106,66853443,66908903,66997192,67072264,67268828,67301172,67514522,67560467,67615116,67982193,68177180,68216960,68284842,68316443,68445290,68550816,68636051,68796887,68998323,69002952,69017930,69048635,69622187,69625703,70169265,70250442,70733930,70778387,71041235,71193347,71236748,71453927,71720106,71876330,71947575,72088857,72090083,72147131,72175143,72280750,72369626,72441990,72858996,72879146,72880821,73197308,73587530,73591322,73673402,73887191,73983548,74160906,74234056,74425562,74550156,74605235,74847216,74974922,75011330,75101507,75172778,75269447,75371841,75430103,75456297,75775298,76054566,76135000,76161085,76244325,76329148,76361116,76451176,76541043,76604723,76744080,76777211,76866026,76968348,77001290,77119668,77150190,77271456,77436122,77541011,77628321,77895002,77914451,78043722,78718691,78856427,79405283,79726236,79961351,80391527,80403530,80481026,80505203,80610971,80729987,81327280,81614343,81756731,81812616,81860352,82134348,82293536,82368263,82413543,82665290,82667361,82723196,82811847,82821516,82858362,83090903,83328602,83471591,83492858,83513313,83803827,84128507,84199107,84203118,84612311,84640130,84713882,84880716,85215923,85249482,85399946,85500956,85626184,85651875,85901027,86007573,86251596,86319611,86337090,86357703,86509031,86552643,86658035,86660872,86736900,86892290,86930388,87076748,87087467,87180707,87310216,87423755,87524103,87612860,87825803,88139258,88180007,88211291,88220042,88297383,88305036,88324571,88570547,88578818,88588802,88795043,88803148,88813576,88858730,88998551,89245178,89259123,89381642,89526282,89642307,89700290,89828925,90013596,90221593,90260930,90406083,90541130,90541150,90596487,90610082,90784643,90976647,91028828,91149640,91166403,91362000,91393302,91493190,91708007,91864547,92039193,92092896,92165591,92359624,92365835,92401548,92426522,92519360,92580228,92636162,92767691,92934602,92975651,93122282,93242651,93401243,93800307,94359207,94645384,94679306,95103482,95292290,95332826,95348603,95385491,95409482,95624867,95817520,96034953,96257512,96263356,96329457,96348362,96365243,96484236,96495827,97290023,97452800,97475027,97493481,97592736,97875842,98018618,98035527,98046227,98149991,98223993,98398407,98413525,98643347,98941107,98951687,99198348,99443771,99465290,99915273,...,64475947259944972436294532774598850004206802780812119061115444542705113708036244461249205641701661009425893696178071300594929261087804807516520161423685730105459688531466480951577207639517985454410902201678196978460121643862232279194603976111293515263753796025294965236696966907599967396208492760925380395046710368271996648156965110556974006611287120533364848018785326438443077128091429504461169931641937247226183739819635056913767868876818873918776270239754001925347254720223651883242683573559775724532241368431703229851971045359330295662126277560050901106799572358220225139313502396543876560679811216700823057580219629220658714267201219292423095659523473241337789214322949246277249139361217655654266841133592768858262243065314456771353467459313414829956310294025285629770685974197535465306496951608324341671076638055105690055173497144390121980000733631345659007889452948490475897746420947845720737302212374001520221248246407257465119608801186455901565827363554880485426244300017309815098070632375884210173632505205851084260381093159953920365438459440421684555303921573052083966557449499619447397696724125283383890371361682015013926890849122678653007647990813462043932566551999458752639211039208617794956460688274898870144011785398337255407544185585592469004589569140987425264610356770403276515226504798314930276907875318345250891562556135059683411192256665636342924292199627563070555720810815707020621844047664928845847589591225749641893974382132065895528701093414125041720065209339171738089664763552886267818113480914410577430945154121268308036556317280734861998901100632646695228662870944790934067445687512885202359338765434848819459162749203179034932729398772249570915030000800283208020022957073779378384394144040706875083567636901879284647134017385423593211264097543815879965880538316624849078248398104589150007907073410218569693401584704226188078354185402855136921667906817653594484914028222207534710339355907898884494413868306014571400891539806629281236724588058411683135003808271808839980800340223775055746917633538399029064225414535126157891553093135871584938496097071667150022273718924626174019283669786112999356263817416375217195438755791987587763552940426806061175963776477650023366711048991294764063057011350529719049590645450068241374225952692121058712804866523872349005322348509891261892697094167539236543932415625979127880078257456160365878518688313495784643918661372318884795379427758284306805090978094940908}
15254   824181364776327858565217990503159353381364968668169459784006459: {198133,335302,563029,578854,853496,926773,960183,1017529,1035844,1143075,1219280,1371690,1400884,1463136,1611094,1646028,1792774,2397334,2459833,2728213,2906773,2970435,3120694,3168464,3351913,3421414,3518823,3564522,3618133,3773816,3961702,4060393,4189075,4245543,4339695,4560502,4588729,4629008,4939513,5026890,5207634,5224919,5362016,5396134,5397316,5436039,5463529,5753302,5991094,6032268,6120196,6417493,6471475,6532383,6619395,6762229,6841924,7060688,7176214,7191529,7411256,7464170,7704313,7765770,7943274,7959733,8060854,8283488,8337663,8383993,8472454,8806453,8957004,9000196,9212335,9318924,9351814,9645973,9699599,10063033,10075444,10433284,10663100,10715295,10891753,11054802,11099734,11389654,11429648,11549703,11861764,11876713,11910502,12078435,12141574,12284053,12487702,12775702,12795720,12858354,12883664,13005814,13012729,13193139,13201208,13440495,13648768,13856570,13995844,14336528,14395185,14494122,14690293,14723494,14851359,15233000,15349702,15354864,15362936,16128594,16414706,16491193,16614435,16627884,16709254,16825156,17137125,17149559,17274222,17283303,17529604,17554294,17722064,17947414,18026233,18115654,18279600,18405493,18451702,18584116,18792995,18954296,19158613,19233574,19289302,19498240,19681513,19795100,19937322,19978729,20123302,20400502,20564247,20564550,20621974,20898454,21009913,21034564,21156073,21284854,21323583,21383476,21447529,21935520,22041795,22099093,22171129,22262471,22384534,22530229,22551594,22601833,22622943,22776244,22874495,23397888,23449580,23511248,23526133,23540699,23564343,23695702,23754120,23913334,23948629,24298095,24499370,24677460,24748995,24835414,24856756,25062613,25337728,25375654,25917968,26129302,26322624,26361529,26398928,26425623,26450154,26562063,26612134,26723385,26932075,27435193,27449394,27614644,27733702,28139496,28288403,28293973,28301236,28504944,28742374,28946293,28986676,29157714,29269753,29323702,29399244,29591413,29612952,29655529,29670964,29698794,30012676,30292729,30413199,30534791,30951574,31212694,31369174,31459075,31498095,31607413,31656933,31768563,31803530,32068062,32318490,32405353,32466229,32677850,32977702,33071029,33235702,33314571,33499400,33547503,33597968,33609193,33629570,33668629,33750502,33964729,34012839,34023733,34314934,34473056,34551529,34766404,34842229,34900153,34989479,34999100,35188693,35905863,35996614,36114244,36324853,36403239,36553595,36755254,36771253,36805702,36877935,37686825,37750890,37797714,38111734,38164236,38331939,38404213,38461876,38723029,38782188,39114435,39213420,39336464,39357334,39440639,39456853,39524727,39560533,39715513,39838106,40099894,40199280,40227433,40267616,40355484,40491475,40543702,40581493,40795396,40986214,41084374,41229673,41722064,41782888,41818534,41827648,41998920,42013702,42251029,42305974,42464435,42694774,42745075,42879232,42961129,42964023,42985702,43276054,43301951,43462839,43578435,43621130,43864314,44104516,44143654,44253522,44599273,44761055,44775529,44798848,45037753,45082808,45224190,45301068,45426229,45681973,46053094,46483664,46841173,46937322,47005749,47056104,47082229,47166776,47203203,47248785,47327494,47517433,47711284,47872682,47905513,48030454,48170614,48239136,48286393,48363316,48450502,48589770,48683302,48807529,48953833,48990229,49026553,49147702,49350229,49663924,49737913,49812959,49937336,49984970,50071702,50184853,50304023,50398704,50458287,50636356,50718159,50913493,50957322,51010153,51026799,51035014,51201529,51294090,51327673,51450663,51583395,51668629,51741475,51829088,51850933,52294122,52345356,52470435,52582179,52667413,52850374,52862713,52875039,52938117,52972729,53062623,53075494,53216836,53255302,53375029,53401273,53403395,53713266,53735893,53886229,54155113,54179764,54226933,54269028,54274453,54426207,54551254,54576095,54621673,54713696,54800233,54817702,54909493,54995014,55016953,55022288,55038229,55737529,55756213,55903093,55921702,55959225,55968464,55992553,56027833,56069111,56166073,56179503,56185174,56266729,56343770,56404294,56444403,56568373,56583529,56668108,56685083,56698542,56788153,56911580,57004729,57068629,57130729,57261013,57295033,57371893,57475573,57493894,57524713,57727573,57735529,57766633,58019029,58023673,58077493,58163029,58168213,58307724,58358374,58530502,58622543,58688231,58916854,59002534,59107935,59429974,59624643,59689840,59813302,59981964,60280054,60377583,60449302,61356567,61552908,61668694,61789876,61859930,61900074,61919302,62038895,62089770,62103364,62169334,62196195,62315900,62946475,62964522,63048464,63141663,64084074,64393702,64556614,64759894,64954799,65491314,65532724,65649574,66229088,66321183,66342608,66451654,66618125,66894779,67049014,67080004,67151070,67377167,67445254,67612524,67761094,67997302,68036614,68293896,68312644,68585302,68741494,68794095,69052323,69268287,69750502,70089303,70097254,70557574,70710502,70901302,70929522,70987395,71161370,71243734,71407100,71586039,71627808,71669919,71678644,71811574,71862890,71878075,72006844,72442808,72824614,72973535,72973702,73380368,73493494,73499956,73530502,73715302,74154355,74202447,74231916,74267302,74413894,74446674,74490299,74507724,74635434,74779080,74882739,74922911,75143014,75505174,75535770,75719888,75828263,75912244,76092595,76212484,76396439,76795702,76830633,77181663,77185894,77291974,77711879,77965850,77985795,78007876,78145023,78379702,78865894,79107814,79211254,79383334,79483143,79623574,79755935,79764352,79941750,80089396,80098730,80166495,80386163,80407414,80459427,80471096,80491100,80571488,80581284,80684643,80813014,80814671,80954440,80978690,81015308,81099183,81498159,81650614,81750454,81862324,81908895,82156804,82450996,82552914,82577199,82806454,82814711,83067303,83184848,83188407,83425702,83746490,83840330,84086035,84126465,84225323,84391702,84518895,84837574,85059334,85085764,85184874,85221475,85271200,85377076,85393644,85500502,85510928,85688520,85958836,86000854,86235468,86253690,86345519,86435302,86558854,87109167,87142323,87369488,87408196,87568242,87840694,88887334,88965327,88985226,89005702,89045935,89074808,89137924,89192163,89734896,90030502,90153488,90204214,90468959,90529983,90642924,91046456,91073745,91149334,91311114,91319302,91347574,91401088,91496635,91909654,91921143,91993414,91993503,91997764,92003936,92271574,92479435,92792570,92968599,93187695,93276263,93384863,93559020,93582954,93638374,93667256,93826534,94834294,95017414,95168750,95381302,95411435,95451395,95563970,95571791,95626808,95707122,95767702,95928602,95930100,96118476,96199794,96210435,96211299,96233524,96302614,96399585,96529702,96589320,96930214,97004854,97054534,97145328,97174428,97523302,97848039,98251702,98290674,98435447,98467414,98610502,98753014,98881208,99400208,99433702,99456934,99657795,99780502,99796288,...,96713920889917458654441799161898275006310204171218178591673166814057670562054366691873808462552491514138840544267106950892393891631707211274780242135528595158189532797199721427365811459276978181616353302517295467690182465793348418791905964166940272895630694037942447855045450361399951094312739141388070592570065552407994972235447665835461009916930680800047272028177989657664615692137144256691754897462905870839275609729452585370651803315228310878164405359631002888020882080335477824864025360339663586798362052647554844777956568038995443493189416340076351660199358537330337708970253594815814841019716825051234586370329443830988071400801828938634643489285209862006683821484423869415873709041826483481400261700389153287393364597971685157030201188970122244934465441037928444656028961296303197959745427412486512506614957082658535082760245716585182970001100447018488511834179422735713846619631421768581105953318561002280331872369610886197679413201779683852348741045332320728139366450025964722647105948563826315260448757808776626390571639739930880548157689160632526832955882359578125949836174249429171096545086187925075835557042523022520890336273684017979511471986220193065898849827999188128958816558812926692434691032412348305216017678097505883111316278378388703506884353711481137896915535155604914772839757197472395415361812977517876337343834202589525116788384998454514386438299441344605833581216223560530932766071497393268771384386838624462840961573198098843293051640121187562580097814008757607134497145329329401727170221371615866146417731181902462054834475921102292998351650948970042842994306417186401101168531269327803539008148152273229188744123804768552399094098158374356372545001200424812030034435610669067576591216061060312625351455352818926970701026078135389816896146315723819948820807474937273617372597156883725011860610115327854540102377056339282117531278104282705382501860226480391727371042333311302065509033861848326741620802459021857101337309709943921855086882087617524702505712407713259971200510335662583620376450307598543596338121802689236837329639703807377407744145607500725033410578386939261028925504679169499034395726124562825793158133687981381645329410640209091763945664716475035050066573486942146094585517025794578574385968175102362061338929038181588069207299785808523507983522764836892839045641251308854815898623438968691820117386184240548817778032470243676965877992058478327193069141637426460207636467142411362}
15255   827880971824298284806966448956515965946591209795415851188767718: {502953,746809,868281,1066870,1280244,1294805,1524100,1553766,1751105,1828920,1843193,1950848,2057535,2101326,2194704,2416641,2469042,2689161,2772406,2847449,3302089,3596001,3960580,4050382,4681041,4691764,4717270,4752696,5132121,5146726,5346783,5493337,5660724,5786260,5942553,6178102,6484849,6702520,6746645,6840753,6943512,7248052,7540335,7650245,7811451,8043024,8094201,8095974,8496241,8552405,8629953,8709844,8825860,8986641,9048402,9099766,9180294,9264070,9830182,10000942,10262886,10354360,10591032,10684897,10764321,11116884,11196255,11250245,11273206,11551057,11648655,11850113,11914911,11942672,12091281,12412681,12425232,12544462,12594305,12708681,13041605,13328875,13435506,13442569,13500294,13841993,13978386,14027721,14287060,14378254,14600473,14739736,14827205,15113166,15399604,15506806,15649926,15994650,16104580,16202134,16501510,16582203,16585009,16649601,17060960,17084481,17144472,17419489,17494805,17590852,17792646,17816249,17865753,17920660,18212361,18565846,18731553,18807833,19041250,19120342,19163553,19193580,19203670,19287531,19325496,19508721,19801812,20271121,20473152,20572342,20589761,20784855,20927686,20993766,21031445,21504792,21673774,21741183,21912005,22085241,22152580,22170512,22212166,22678222,22766249,22849500,22920437,23024553,23032296,23044404,23099062,23230145,23320901,23670694,23692870,24192891,24372800,24622059,24743875,24757913,24941826,25063881,25237734,25505813,25858486,25911333,25990229,26293205,26294406,26331441,26431366,26583096,26729345,26921121,27123982,27173481,27317014,27418996,27419400,27523289,27677553,27696449,27876174,27901177,28431444,28470305,28850361,28919441,28933953,29247360,29311975,29389060,29398222,29623633,29692650,29905983,30039886,30068792,30163924,30184953,30600753,30846825,30932961,31070945,31140694,31197184,31347681,31419124,31551846,31626353,31672160,31927281,32075214,32397460,32591302,32903280,32944853,32998660,33490649,33576801,33643289,33827391,34164366,34304974,34419406,34518305,35096832,35149313,35170229,35171014,35174370,35234164,35266872,35376545,35416084,35438533,35543553,35631180,35870001,36233345,36506806,36560027,36599192,36749055,37016190,37088705,37253121,37285134,37497449,37515845,37519328,38006592,38063481,38876952,39068597,39193953,39198992,39447457,39483936,39598392,39675231,39755014,39918201,40536886,40550932,40673206,41174091,41230033,41270929,41421966,41600553,41874250,41997460,42008177,42056614,42209244,42358084,42451854,42553541,42757416,42881254,43091320,43113561,43458005,43480014,43695169,43736571,43748875,43985553,44098866,44251297,44419428,44506446,44548191,44693701,44730004,45019014,45142805,45350452,45499313,46427361,46681081,46819041,47053761,47521321,47705295,47874484,48077345,48102093,48144502,48187073,48280486,48281353,48477735,48537652,48972406,49016775,49170580,49466553,49853553,49928422,50132302,50249100,50334520,50396952,50444355,50512169,50625753,50885648,50994245,51109252,51472401,51490793,51689441,51709584,52149606,52152580,52228610,52284560,52498650,52691897,52699636,53599040,53807312,53994921,54171366,54269269,54575014,55130645,55132881,55167406,55208553,55794982,55998560,56353510,56626335,56696571,56861849,56937953,57167601,57246354,57285364,57338902,57692814,57821753,57950452,58049782,58104580,58173282,58462534,58485752,58820130,58958470,59004696,59036001,59222734,59639105,59757159,59972902,60149841,60298920,60401424,60454145,60533226,60746101,60815553,61193094,61479321,61568806,61626561,61973201,62079905,62421670,62583096,62674332,62727801,62741472,62937604,62998380,63020553,63295445,63387457,63458961,63610081,63896326,64042161,64207822,64318848,64478553,64786360,64914081,64929574,65147717,65431695,65446966,65472473,65796471,66156774,66215481,66254902,66274409,66380283,66521045,67198272,67277716,67333813,67624212,67724705,67836285,67878169,67943096,67951602,68035732,68392120,68453237,68564374,68600884,68777860,69079641,69725496,69773902,69793808,69960580,69962933,70093894,70109572,70228433,70405983,70412209,70500052,70556713,70584156,70750164,70835135,70912609,70991241,71139475,71449589,71566926,71617688,71712929,71809023,72045681,72099781,72255921,72358704,72544974,72568276,72675753,72786742,72884655,72906382,73024953,73721553,74495886,74612300,74822062,74906004,74964593,74977455,75107553,75108742,75259204,75520901,75598056,75635494,75816694,75942929,75954534,76103233,76435983,76448302,76552521,76941135,77237345,77629205,77743632,77894875,77905294,77940457,78441183,78518034,78810580,78884302,79275561,79326857,79471654,79499524,79613241,79665649,79680953,79825254,79882953,79975952,80503444,80569899,80835653,81010793,81115333,81269646,81403542,81561953,81808756,81826881,81915905,81958849,82070544,82226553,82492521,82533432,82786360,82928260,83534566,83673457,83850005,83882553,83952696,84188884,84277761,84377513,84515655,84606441,84687509,85002162,85047813,85367370,85390805,85445432,86240841,86521057,86546254,86975182,87068566,87080857,87321752,87461586,87489349,87537561,87795753,87842009,88375281,88428244,88490902,88503801,88606726,88730327,88747081,88954801,88990193,89144961,89258875,89534760,89598305,89719953,89796406,89930473,89949382,89972946,90008555,90091321,90150032,90332854,90420081,90547481,90553510,90622054,90673953,90806537,91051009,91058528,91725460,91874945,92069764,92329362,92357716,92438734,92503041,92684814,92789895,92829089,92850111,92878953,93013942,93134655,93155046,93254001,93452404,93473850,94446783,94572696,94640249,94649860,94687702,94816753,94890305,95030086,95265605,95345422,95448052,95503744,95559892,95823406,96126111,96491854,96590553,96625102,96628313,96668089,96834921,97139841,97509845,97791073,97888774,98076409,98200033,98236971,98299086,98474361,98715697,98936596,98975888,99011014,99027502,99262232,99273449,99343632,99457729,99513912,99677481,99705440,99843652,...,145070881334876187981662698742847412509465306256827267887509750221086505843081550037810712693828737271208260816400660426338590837447560816912170363203292892737284299195799582141048717188915467272424529953775943201535273698690022628187858946250410409343446041056913671782568175542099926641469108712082105888855098328611992458353171498753191514875396021200070908042266984486496923538205716385037632346194358806258913414594178878055977704972842466317246608039446504332031323120503216737296038040509495380197543078971332267166934852058493165239784124510114527490299037805995506563455380392223722261529575237576851879555494165746482107101202743407951965233927814793010025732226635804123810563562739725222100392550583729931090046896957527735545301783455183367401698161556892666984043441944454796939618141118729768759922435623987802624140368574877774455001650670527732767751269134103570769929447132652871658929977841503420497808554416329296519119802669525778523111567998481092209049675038947083970658922845739472890673136713164939585857459609896320822236533740948790249433823539367188924754261374143756644817629281887613753335563784533781335504410526026969267207979330289598848274741998782193438224838219390038652036548618522457824026517146258824666974417567583055260326530567221706845373302733407372159259635796208593123042719466276814506015751303884287675182577497681771579657449162016908750371824335340796399149107246089903157076580257936694261442359797148264939577460181781343870146721013136410701745717993994102590755332057423799219626596772853693082251713881653439497527476423455064264491459625779601651752796903991705308512222228409843783116185707152828598641147237561534558817501800637218045051653416003601364886824091590468938027183029228390456051539117203084725344219473585729923231211212405910426058895735325587517790915172991781810153565584508923176296917156424058073752790339720587591056563499966953098263550792772490112431203688532785652005964564915882782630323131426287053758568611569889956800765503493875430564675461397815394507182704033855255994459555711066111616218411251087550115867580408891543388257018754248551593589186844238689737200531972072467994115960313637645918497074712552575099860230413219141878275538691867861578952262653543092008393557272382103810949678712785261975284147255339258568461876963282223847935158453037730176079276360823226667048705365515448816988087717490789603712456139690311454700713617043}
15256   831597053392906487237705772236586638434412122027741054343344579: {350359,396266,441583,670604,1126058,1157708,1259359,1600305,1620943,1706992,1853546,1905125,1920366,2035058,2071688,2250943,2286150,2330649,2438560,2609359,2698783,2743380,2801768,2926272,3151989,3222188,3292056,3585548,3589063,3703563,4158609,4735663,4794668,4919666,4950725,5348023,5456426,5783263,5813546,5864705,5940870,6075573,6241388,6336928,6562159,6703826,6842828,7037646,7075905,7129044,7232825,7236266,7420759,7506223,7547632,7720089,7923404,8120786,8187343,8378150,8491086,8610703,8679390,8779543,9032263,9060065,9121004,9177458,9258016,9267153,9879026,10053780,10415268,10449838,10452103,10724032,10792268,10794632,10872078,10887305,10927058,11032325,11506604,11687623,11982188,12064536,12143961,12240392,12745303,12834986,12897269,12942950,13064766,13238790,13309783,13524458,13572603,13630759,13649649,13683848,13770441,13896105,14121376,14352428,14383058,14428159,14745273,14822512,14903143,14928340,15001413,15394329,15408626,15531540,15532423,15610759,15886548,15919466,16121708,16566976,16675326,16767986,16909809,16944908,17162359,17612906,17622223,17858825,17914008,18000392,18003463,18424670,18637848,18703628,18816693,19061359,19249505,19291946,19399198,19733983,20126066,20130725,20150888,20153259,20250441,20548159,20621743,20866568,20967579,21326200,21353623,21430590,21567381,21783506,21933943,21988565,22109604,22199468,22294303,22400825,22669749,22779308,22859296,23099406,23260209,23435359,23474889,23723528,23753426,23821004,23991975,24069103,24156870,24283148,24303201,24568106,24752265,24975404,25250263,25551404,25591440,25716708,25767328,26011628,26025458,26310193,26386278,26402416,26478223,26688969,26815183,26880990,26949463,27283903,27297536,27690725,27713140,27848769,27947383,27991688,28210759,28561875,28673056,28680513,28790370,28799143,28805505,28864159,28988244,29380586,29446988,29510359,29702718,29766823,30149359,30212863,30402943,30466000,30699404,30709728,30725872,30858513,31301369,31343623,31391529,31490649,32024293,32257188,32329159,32510661,32829412,32982386,32996023,33228870,33255768,33318249,33418508,33431749,33650312,33772903,34017333,34186183,34273745,34274250,34299118,34420759,34548444,34566606,34648593,34654183,35059208,35059903,35108588,35290159,35444128,35506041,35539305,35633383,35894828,35917423,36052466,36086983,36231308,36559200,36736325,36810986,36903404,37168232,37412739,37585990,37704905,37856601,37908592,38017303,38317226,38467148,38578604,38787729,38996480,39273905,39363026,39441609,39590200,39647049,39653359,39704983,39859423,39874644,39957458,39962023,40217263,40246604,40496825,40685973,40722343,40801004,40872463,40975521,41128494,41129100,41243948,41248325,41466463,41613343,41796908,41814261,42019826,42069128,42146359,42312146,42433423,42569708,42575983,42647166,42766952,42895058,43279063,43784359,43871040,44011159,44042705,44083590,44097333,44198186,44270105,44342258,44524942,44538975,44769068,45059829,45060458,45103188,45118159,45203666,45245886,45552488,45590983,45748990,46013263,46633183,46711041,46795759,46795776,46899160,46997359,47022496,47052266,47081398,47128686,47327769,47391404,47508240,47591359,47747023,47824423,47826668,47897258,48112821,48131143,48508063,48545359,48596190,48693823,48886953,48998740,49276159,49311943,49354920,49497990,49670828,49713512,50125226,50149159,50183143,50675456,50688665,50751308,50847703,50977159,51105463,51175033,51246549,51295759,51327223,51457461,51629109,51729703,51835936,52060759,52237663,52258604,52496825,52645248,52723058,52756521,52761555,52797856,52851246,52900308,52919359,52947605,53124126,53217943,53224268,53297863,53446770,53687743,53864150,54348703,54534463,54760209,54782359,54870386,54898788,55000159,55127383,55229288,55467404,55524285,55629583,55686823,55705759,55912505,55927701,56138623,56278992,56306743,56388103,56483359,56576806,56587946,56602472,56651263,56688065,56796343,56852359,57009888,57052159,57247423,57360103,57484748,57544783,57554359,57610303,57738823,57770359,57808159,57815503,57892586,57917023,57973352,57991903,58041223,58083343,58108543,58148359,58169743,58176583,58184359,58185943,58315428,58539506,58647404,58798488,59182826,59225904,59311058,59341928,59397588,59450209,59632521,59843105,60025352,60585458,60672065,60805329,60826398,61009809,61069582,61463225,61903148,62132949,62425388,62665477,62738348,62811375,62918150,62996190,63084921,63214826,63313866,63537126,63607060,63677781,63886565,64136124,64321881,64636980,64810706,64932458,65190725,65220021,65355700,65874545,65955404,66142058,66148299,66471404,66629142,66759669,66998800,67095006,67195936,67218386,67259140,67337258,67501004,67528521,67929458,68025678,68047466,68629868,68946112,69103058,69532808,69684458,69800306,69978958,69998200,70377386,71606705,71811726,71993228,72216753,72228488,72420729,72438065,72630725,72649706,72806478,73107190,73458609,73510508,73542506,73611404,73755870,74764753,74892633,75198453,75372473,75373650,75501780,75595428,76223468,76328472,76406533,76663878,76808426,76923752,77446058,77564376,78224409,78228870,78342915,78426840,78672005,78672928,78714668,78747975,78881278,78913706,79049454,79121066,79431026,79627561,79676212,80199788,80398560,80454866,80535232,80710968,80982950,81087404,81162986,81257049,81590792,81862521,81972428,82168748,82424177,82459346,82751109,83444128,83565776,83637068,83655296,83692473,83997840,84027404,84097145,84502058,84530265,84611948,84928870,85044665,85389548,85490150,85751105,85758464,85869531,85922258,85928046,85971404,85972325,86008353,86368469,86539221,86552108,86603902,86854453,86925678,87074673,87156870,87242260,87259923,87450725,87636965,87693801,87728628,88125065,88209032,88230195,88287308,88437705,88442981,88507044,88834101,89198546,89522110,89551058,89597696,89959353,90075506,90165616,90448380,90602136,90710345,90799839,90852458,91363946,91789641,92106188,92353209,92967328,93265375,93632505,93682346,93874644,94011498,94074005,94112208,94164458,94333552,94406406,94497570,94654988,95001829,95034866,95422568,95745364,95811026,95844489,96060908,96311733,96341228,96478272,96572786,96726632,96901004,97179540,97366604,97394361,97615058,97907666,97980458,98053106,98170449,98295404,98513225,98700458,99235161,99327848,99374405,99382353,99475826,99625918,99874672,99969940,...,193427841779834917308883598323796550012620408342436357183346333628115341124108733383747616925104983028277681088534213901784787783263414422549560484271057190316379065594399442854731622918553956363232706605034590935380364931586696837583811928333880545791261388075884895710090900722799902188625478282776141185140131104815989944470895331670922019833861361600094544056355979315329231384274288513383509794925811741678551219458905170741303606630456621756328810719262005776041764160670955649728050720679327173596724105295109689555913136077990886986378832680152703320398717074660675417940507189631629682039433650102469172740658887661976142801603657877269286978570419724013367642968847738831747418083652966962800523400778306574786729195943370314060402377940244489868930882075856889312057922592606395919490854824973025013229914165317070165520491433170365940002200894036977023668358845471427693239262843537162211906637122004560663744739221772395358826403559367704697482090664641456278732900051929445294211897127652630520897515617553252781143279479861761096315378321265053665911764719156251899672348498858342193090172375850151671114085046045041780672547368035959022943972440386131797699655998376257917633117625853384869382064824696610432035356195011766222632556756777407013768707422962275793831070311209829545679514394944790830723625955035752674687668405179050233576769996909028772876598882689211667162432447121061865532142994786537542768773677248925681923146396197686586103280242375125160195628017515214268994290658658803454340442743231732292835462363804924109668951842204585996703301897940085685988612834372802202337062538655607078016296304546458377488247609537104798188196316748712745090002400849624060068871221338135153182432122120625250702910705637853941402052156270779633792292631447639897641614949874547234745194313767450023721220230655709080204754112678564235062556208565410765003720452960783454742084666622604131018067723696653483241604918043714202674619419887843710173764175235049405011424815426519942401020671325167240752900615197087192676243605378473674659279407614754815488291215001450066821156773878522057851009358338998068791452249125651586316267375962763290658821280418183527891329432950070100133146973884292189171034051589157148771936350204724122677858076363176138414599571617047015967045529673785678091282502617709631797246877937383640234772368481097635556064940487353931755984116956654386138283274852920415272934284822724}
15257   835329682258543117380415426669960234298976094061659238384945270: {594399,838255,1005906,1447135,1493618,1689087,1736562,1812727,2133740,2178319,2451547,2560488,2589610,2780319,2880549,3048200,3052587,3107532,3182443,3365167,3429225,3502210,3657840,3686386,3901696,4027735,4115070,4202652,4389408,4481935,4833282,4854223,4938084,5378322,5544812,5694898,5949847,5993335,6604178,7192002,7379499,7801735,7857883,7921160,8100764,8184639,8553535,8720319,8857519,8911305,9362082,9383528,9434540,9445303,9505392,9856363,9904255,10055739,10264242,10293452,10556469,10593703,10693566,10710343,10854399,10986674,11321448,11401255,11572520,11885106,11973367,12139207,12181179,12183919,12356204,12567225,12736629,12782359,12969698,13019085,13405040,13490335,13493290,13681506,13683487,13766187,13887024,14004679,14326999,14383255,14496104,14818539,14977735,15080670,15300490,15622902,15674757,15750343,16086048,16163983,16188402,16191948,16308117,16358719,16390587,16417147,16992482,17104810,17259906,17282047,17419688,17632027,17651720,17818603,17940535,17973282,18057343,18096804,18149263,18199532,18258247,18360588,18528140,18660425,19252479,19414425,19597149,19660364,19858185,20001884,20152135,20286687,20361223,20525772,20708720,20758087,21055567,21181135,21182064,21287719,21369794,21528642,21574587,22227439,22233768,22392510,22500490,22546412,23098603,23102114,23112939,23297310,23379535,23700226,23829822,23879199,23885344,24182562,24492727,24825362,24850464,24929239,25012989,25088924,25151979,25188610,25417362,25455319,25616959,25993663,26083210,26385847,26419359,26504887,26657750,26749999,26871012,26885138,26905567,27000588,27043819,27637005,27683986,27749335,27956772,28037743,28055442,28474135,28574120,28683919,28756508,28937919,29047903,29098797,29200946,29444023,29457823,29479472,29654410,29776255,30189099,30226332,30353935,30676807,30761323,30799208,31013612,31219255,31299852,31939255,31957519,31989300,32145885,32209160,32404268,32514535,32522203,32675259,32732167,33003020,33096463,33164406,33170018,33299202,33770647,34121920,34168962,34288944,34551919,34641425,34649109,34706359,34838978,34989610,35181704,35585292,35630139,35632498,35683663,35731506,35841320,35845339,36235305,36424722,36808735,36810487,36852159,37131692,37376599,37421083,37463106,37601323,37615666,37827823,38082500,38225503,38240684,38327106,38374255,38387160,38407340,38478319,38575062,38650992,39017442,39038187,39073759,39299479,39307903,39579417,39603624,39796423,39858427,40256527,40321485,40542242,40946304,41036765,41144684,41179522,41569710,41614303,41762983,41773135,41778367,41855372,41987532,42062890,42563503,42792247,43009584,43185555,43345819,43347548,43432183,43482366,43499323,43824010,43885735,44070879,44127547,44170482,44305160,44315167,44341024,44424332,44554077,44868535,45289135,45356444,45532498,45610543,45699000,45830623,45840874,46049106,46064592,46088808,46129255,46198124,46460290,46485727,46641802,46920463,47341388,47385740,48083935,48223255,48325627,48385782,48745600,49028743,49244118,49473579,49487750,49515826,49527163,49826383,49843305,49883652,50127762,50308255,50449003,50475468,50518843,50726683,51001255,51011626,51411375,51448677,51554935,51716972,51822666,51849909,51924187,51935047,51980458,52057423,52246135,52383259,52522183,52586410,52588812,52662882,52698859,52862732,53166192,53212135,53458690,53751487,53842242,54002539,54078699,54247964,54346962,54443047,54478063,54634028,54837992,54838800,55046578,55216479,55355106,55392898,55616983,55752348,55802354,55961335,56181403,56378985,56862888,56929447,56940610,56948359,57189583,57475839,57700722,57838882,57867906,57935167,58494720,58541839,58623950,58778120,58788763,58796444,59044539,59239255,59247266,59385300,59783335,59811966,59812843,59927719,59936187,59956543,60066523,60079772,60137584,60327848,60369906,60841207,61201506,61248425,61692741,61693650,61865922,61980523,62088535,62141890,62281388,62394368,62665639,62695362,62838248,63029739,63103692,63162367,63199927,63251143,63252706,63344320,63439135,63468219,63854562,63970749,64150428,64342587,64794920,65182604,65323255,65460727,65806560,65889706,65997320,66022183,66125385,66297279,66513387,66517279,66530335,66787413,66981298,67153602,67200367,67286578,67308283,67513183,67590687,67654782,67805499,67868829,68328732,68334799,68337643,68609948,68623485,68838812,68962183,69036610,69334255,69507307,69640663,70193664,70298626,70340458,70342028,70348740,70468328,70533744,70554319,70578399,70622097,70693029,70753090,70832168,70877066,71087106,71262360,71391943,71740002,71845887,71855935,71958127,72466690,72894285,72940423,73013612,73082383,73120054,73132987,73198384,73309255,73375759,73498110,74032380,74177410,74246985,74451007,74506242,74570268,74994898,75031690,75038656,75187839,75289819,75919723,76013184,76126962,76455727,76506559,77182903,77362423,77376559,77378935,77665087,77753904,77807323,78031735,78137194,78387906,78397984,78422935,78894914,78929623,78967872,79063963,79084587,79196784,79276869,79350462,79508825,79510028,79686189,79836402,79855423,80170155,80420047,80729239,80796225,80946283,81073772,81101864,81346412,81694625,82015903,82305579,82348182,82436359,82444255,82460066,82512463,82541858,82843932,82997239,83089255,83201106,83494747,83748500,83994920,84010027,84016354,84073925,84113228,84376255,84418488,84635803,84701419,84716168,84735163,84865209,84881919,84903708,84962539,85107082,85514832,85762508,85787335,85872103,85923823,86182640,86227122,86423023,86496859,86838879,86911867,86916010,86960028,87390338,87473142,87497750,87809259,87971106,88197732,88348303,88443883,88502594,88594519,88613623,88774239,88818607,88838856,88966587,89012892,89096382,89336887,89387402,89460008,89991535,90030427,90038028,90047263,90285610,90379999,90700904,90878187,90931819,90998626,91239597,91496959,91604373,91888135,91889023,92014255,92854722,93012487,93104143,93129463,93362162,93638082,94107522,94168399,94271647,94377225,94494285,94814587,94822239,94970799,95042642,95269483,95279335,95291047,95305689,95410590,95581519,95748968,96154690,96204186,96289004,96374146,96391399,96560972,96562706,96955470,97055047,97075304,97216059,97316059,97398687,97744603,97944812,98033550,98176363,98209663,98341160,98393335,98670319,98933106,99169189,99213087,99287023,99595243,99595265,99707106,99718879,99856844,99943713,...,290141762669752375963325397485694825018930612513654535775019500442173011686163100075621425387657474542416521632801320852677181674895121633824340726406585785474568598391599164282097434377830934544849059907551886403070547397380045256375717892500820818686892082113827343565136351084199853282938217424164211777710196657223984916706342997506383029750792042400141816084533968972993847076411432770075264692388717612517826829188357756111955409945684932634493216078893008664062646241006433474592076081018990760395086157942664534333869704116986330479568249020229054980598075611991013126910760784447444523059150475153703759110988331492964214202405486815903930467855629586020051464453271608247621127125479450444200785101167459862180093793915055471090603566910366734803396323113785333968086883888909593879236282237459537519844871247975605248280737149755548910003301341055465535502538268207141539858894265305743317859955683006840995617108832658593038239605339051557046223135996962184418099350077894167941317845691478945781346273426329879171714919219792641644473067481897580498867647078734377849508522748287513289635258563775227506671127569067562671008821052053938534415958660579197696549483997564386876449676438780077304073097237044915648053034292517649333948835135166110520653061134443413690746605466814744318519271592417186246085438932553629012031502607768575350365154995363543159314898324033817500743648670681592798298214492179806314153160515873388522884719594296529879154920363562687740293442026272821403491435987988205181510664114847598439253193545707386164503427763306878995054952846910128528982919251559203303505593807983410617024444456819687566232371414305657197282294475123069117635003601274436090103306832007202729773648183180937876054366058456780912103078234406169450688438947171459846462422424811820852117791470651175035581830345983563620307131169017846352593834312848116147505580679441175182113126999933906196527101585544980224862407377065571304011929129831765565260646262852574107517137223139779913601531006987750861129350922795630789014365408067710511988919111422132223232436822502175100231735160817783086776514037508497103187178373688477379474401063944144935988231920627275291836994149425105150199720460826438283756551077383735723157904525307086184016787114544764207621899357425570523950568294510678517136923753926564447695870316906075460352158552721646453334097410731030897633976175434981579207424912279380622909401427234086}
15258   839078931516521295083325837532559946627319411426550677289184290: {259097,472037,623897,700718,792532,883166,896741,1078277,1341208,1470617,1508859,1651241,1921637,2071577,2240427,2252116,2281157,2315416,2370857,2518718,2520197,2604843,2667175,2728937,2967017,3200610,3241886,3412037,3413984,3619097,3707092,3810250,3840732,3884415,4070116,4143376,4501886,4572300,4589957,4648517,4661298,4877120,5218718,5253315,5397566,5464997,5486760,5529579,5603536,5639141,5784041,5852544,6172605,6303978,6390437,6444376,6584112,6821417,6931015,7079141,7171096,7178126,7193477,7249923,7250597,7364741,7407126,7677977,7961897,8067483,8210587,8317218,8542347,8808857,9061541,9229637,9471326,9589336,9839332,9901450,9906267,10125955,10204457,10315241,10696046,10729541,10788003,10912852,11142041,11525417,11566526,11627092,11689241,11716517,11729410,11793175,11852777,11881740,11934437,12097541,12151146,12341657,12482776,12673856,12684091,12866815,13070117,13124318,13407652,13418777,13685656,13952537,14043123,14075292,14151810,14258088,14377241,14465650,14472532,14841518,14931557,15012446,15063017,15095264,15242227,15396363,15440178,15445255,15691241,15846808,16040349,16237157,16241572,16374686,16480011,16495877,16702277,16756300,16882457,16982172,17221406,17241641,17358780,17497241,17559086,17624741,17827659,18031397,18064526,18120130,18242008,18354916,18486437,18516032,18534306,19164137,19388741,19454547,19736837,19758052,19761641,20033957,20107560,20132741,20239935,20522259,20624741,20830536,20899676,20904206,21235241,21448064,21453797,21502277,21584536,21589264,21599141,21744156,21774610,21854116,21961241,22064650,22621005,22656197,22749415,22950735,23013208,23160175,23297177,23375246,23434353,23744741,23964376,24096041,24129072,24236057,24282603,24287922,24480784,24575455,24770117,24931817,25002355,25116137,25488723,25490606,25657215,25669972,25734437,25794538,25885900,25889859,25939241,26129532,26477580,26504741,26619566,26707097,26841641,26949307,26953541,26959923,27048916,27145206,27261518,27299298,27367696,27421337,27487877,27540882,27620741,27753317,27792210,27973637,28039577,28183015,28242752,28704856,28766116,28856318,28955177,29278757,29490546,29645024,29806286,29856680,30002826,30217541,30238697,30302117,30344357,30783991,30788658,30817252,31036697,31063080,31064846,31221518,31244777,31361155,31472741,31555397,31658537,31773096,31838932,32054691,32243416,32292963,33081497,33121577,33133952,33350652,33381317,33480857,33535972,33588765,33750735,33798041,33819618,33889816,34014917,34093541,34211237,34309097,34324718,34562597,34653171,34892057,34945965,34983883,35225812,35238377,35244446,35429657,35550339,35639141,35717650,35744733,35828016,35945635,36000784,36006926,36273843,36374057,36486041,36849340,36949541,36992527,37238043,37275696,37335017,37407256,37633386,37771241,37782915,38122718,38126043,38470277,38499010,38583892,38665241,38735897,38767015,38771177,38798396,39034757,39124815,39209477,39452741,39467966,39625541,39728837,39985817,39986625,40071077,40240997,40252132,40261450,40301776,40306518,40327707,40500882,40505335,40796057,40896041,41096318,41243486,41253775,41375237,41473541,41489897,41525979,41620457,41636741,41733136,41815337,41935158,42083163,42265577,42535877,42652400,42707246,42835241,42861180,43069541,43134762,43240217,43286597,43302041,43567012,43700777,43801419,43867886,43898117,43977130,44214041,44219208,44348357,44398936,44481615,44511641,44588606,44644517,44801650,45039257,45082757,45169541,45339498,45558616,45718592,45740741,45937637,46021541,46198812,46414615,46450457,46518917,46520418,46655237,46870718,46925477,46949778,47443241,47447056,47506852,47603125,47642008,47716997,47755817,47800855,47910377,47983243,47983950,48009175,48138206,48313740,48529541,48566296,48606402,48702917,48715241,48825797,48972197,49136212,49333157,49368857,49504530,49569797,49746609,49755027,49791641,49948803,49950808,49964741,50192741,50204057,50372837,50500526,50694041,50954777,51062057,51102808,51126041,51182880,51221477,51253443,51284741,51347717,51430855,51433416,51534656,51688937,51709337,51800741,51841157,51901541,52023256,52041317,52050916,52140197,52199141,52248041,52258467,52287017,52319215,52484415,52620386,52772556,52786867,52804832,52819241,52956446,53012357,53175077,53228741,53264357,53317541,53377938,53414297,53448747,53544677,53570537,53597259,53630366,53749541,53761980,53898926,53958041,54007337,54184435,54241541,54312857,54522917,54567806,54595072,54621977,54637083,54779141,54823397,54932777,54954437,54983467,54997541,55075817,55096997,55146137,55345541,55381450,55426280,55485737,55530415,55667177,55697538,55866857,55894766,55927577,55957637,55983376,56156741,56194659,56207897,56241641,56291717,56319257,56400677,56421518,56423499,56480297,56511641,56683817,56695555,56742377,56756837,56813957,56973977,57039557,57078041,57094937,57103337,57123750,57260741,57264617,57346112,57361026,57373541,57405977,57490659,57499397,57558437,57561641,57580740,57598286,57611010,57624041,57627077,57728318,57736517,57747655,57755417,57763397,57768677,57839237,57853541,57862593,57899141,57976488,57997337,58033541,58055717,58097957,58099241,58106777,58112837,58124357,58156697,58184741,58189097,58193897,58196741,58198937,58200041,58526163,58761172,58893976,59020718,59176735,59232175,59405436,59533646,60298718,60425726,60805886,60813363,60932000,61398808,61419456,61451744,61659787,61717026,61769283,61978147,62354565,62602738,62687246,62783058,62981298,63094335,64048586,64514376,64646215,64658318,65021322,65223549,65658824,65736015,65964772,65992046,66078415,66255723,66457740,66511536,66636498,66837016,66863498,67300624,67545806,67809955,68034666,68045923,68292535,68298747,68372366,68547490,68548500,68598236,68761311,68841518,69073659,69096888,69133212,69297186,69308366,69690435,69962703,70118416,70119806,70217176,70580318,70888256,70964131,71012082,71078610,71266766,71789656,71834846,72104932,72173966,72462616,72578673,73118400,73472650,73495555,73621972,73806808,73866177,74126647,74231625,74273739,74336464,74825478,75099715,75171980,75191643,75409810,75713202,75817184,76034606,76517439,76634452,76934296,77157208,77575458,77733999,77851735,77970687,77992960,78277507,78547810,78726052,78879615,78883218,78994323,79049179,79180400,79294098,79306718,79363291,79409966,79718846,79749288,79914916,79924046,80188035,80434526,80493208,80763363,80993650,81371946,81444686,81478255,81520443,81602008,81744926,81951042,82256988,82258200,82487896,82496650,82569867,82932926,83032659,83089347,83226686,83593816,83628522,83703531,83780347,84039652,84138256,84292718,84624292,84866846,84940891,85139416,85151966,85294332,85410915,85533904,85762435,85790116,86048515,86551083,86558126,86758323,86801859,87568718,87742080,87927535,87935925,88022318,88085410,88108603,88167180,88194666,88396372,88540210,88684516,88870899,89049884,89076559,89077950,89441191,89538136,89717949,90119658,90120916,90206376,90236318,90407332,90491772,90554859,91104976,91181966,91267015,91497980,91802259,92026526,92121139,92224363,92540475,92798883,93212835,93266366,93422082,93591518,93591552,93798320,93994718,94043043,94044992,94104532,94162796,94257372,94655538,94782808,94879059,95016480,95182718,95494046,95648846,95653336,95781843,95794516,96225642,96262286,97016126,97090718,97192380,97387646,97410391,97773906,97997480,98552318,98623886,98709840,98834559,98995980,99341656,99387535,99427024,...,435212644004628563944988096228542237528395918770481803662529250663259517529244650113432138081486211813624782449201981279015772512342682450736511089609878678211852897587398746423146151566746401817273589861327829604605821096070067884563576838751231228030338123170741015347704526626299779924407326136246317666565294985835977375059514496259574544626188063600212724126800953459490770614617149155112897038583076418776740243782536634167933114918527398951739824118339512996093969361509650211888114121528486140592629236913996801500804556175479495719352373530343582470897113417986519690366141176671166784588725712730555638666482497239446321303608230223855895701783444379030077196679907412371431690688219175666301177651751189793270140690872583206635905350365550102205094484670678000952130325833364390818854423356189306279767306871963407872421105724633323365004952011583198303253807402310712309788341397958614976789933524510261493425663248987889557359408008577335569334703995443276627149025116841251911976768537218418672019410139494818757572378829688962466709601222846370748301470618101566774262784122431269934452887845662841260006691353601344006513231578080907801623937990868796544824225996346580314674514658170115956109645855567373472079551438776474000923252702749165780979591701665120536119908200222116477778907388625779369128158398830443518047253911652863025547732493045314738972347486050726251115473006022389197447321738269709471229740773810082784327079391444794818732380545344031610440163039409232105237153981982307772265996172271397658879790318561079246755141644960318492582429270365192793474378877338804955258390711975115925536666685229531349348557121458485795923441712684603676452505401911654135154960248010804094660472274771406814081549087685171368154617351609254176032658420757189769693633637217731278176687205976762553372745518975345430460696753526769528890751469272174221258371019161762773169690499900859294790652378317470337293611065598356956017893694747648347890969394278861161275705834709669870402296510481626291694026384193446183521548112101565767983378667133198334848655233753262650347602741226674630164771056262745654780767560532716069211601595916217403982347880940912937755491224137657725299580691239657425634826616075603584736856787960629276025180671817146311432849036138355785925852441766017775705385630889846671543805475359113190528237829082469680001146116096546346450964263152472368811137368419070934364102140851129}
15259   842844874582463023118717142404378655484450742463635206368573856: {15259,990665,1051077,1173557,1188798,1324749,1676510,2011812,2025989,2574377,2815145,2894270,2987236,3378174,3473124,3625454,3761069,3778077,4267480,4356638,4633865,4800915,4862829,4903094,5087645,5120976,5179220,5188997,5560638,5638829,5715375,5736809,5761098,6096400,6105174,6215064,6274709,6364886,6649829,6730334,6752829,6858450,6991947,7004420,7315680,7372772,7803392,7828077,8055470,8096349,8230140,8390669,8405304,8778816,8963870,9286589,9455967,9666564,9708446,9876168,10190477,10467977,10756644,10767189,10922429,11089624,11110469,11110689,11389796,11648429,11840021,11899694,11974949,11986670,12299165,12475827,12934349,13208356,13567349,13641065,13663901,13865957,14206989,14384004,14399177,14533865,14758998,14852175,15025877,15293309,15603470,15715766,15842320,15961757,16044069,16201528,16302089,16369278,16759565,17107070,17349789,17440638,17594115,17715038,17822610,18090665,18151661,18226719,18724164,18767056,18869080,18886469,18890606,18938189,19010784,19102889,19302677,19315229,19686477,19712726,19808510,20111478,20136557,20301965,20528484,20586904,20945375,20968829,21058349,21112938,21124037,21187406,21227715,21387132,21420686,21449129,21698475,21708798,21973348,22262277,22518669,22642896,22756661,22802510,22943645,23145040,23160267,23770212,23946734,24278414,24362358,24367838,24562029,24697565,24712408,25116749,25134450,25473258,25564718,25832109,25939396,26038170,26062157,26124595,26338629,26508389,26810080,26980670,26986580,27096789,27180195,27298349,27317645,27363012,27366974,27532374,27774048,27801459,28009358,28054877,28212989,28653998,28766510,28992208,29051741,29623109,29637078,29653589,29955470,30161340,30600980,31245804,31336301,31349514,31356309,31489397,31500686,31960877,32087465,32172096,32327966,32357375,32376804,32383896,32616234,32661915,32717438,32731349,32781174,32834294,33096975,33775109,33811145,33899177,33984964,34209620,34218377,34519812,34564094,34839376,35062869,35264054,35303440,35637206,35881070,35946564,35957645,36114686,36193608,36298526,36399064,36431883,36516494,36721176,37056280,37099901,37320850,37767977,38235909,38504958,38521565,38691807,38738597,38828850,38849069,39194298,39320728,39716370,39798665,39863789,39881741,39929349,40003768,40304270,40573374,40717809,40722446,40892277,40917449,40948947,41051544,41311323,41417440,41516174,41686757,41688315,41768501,41919965,42111134,42362270,42364128,42495509,42575438,42722621,42739588,43057284,43149174,43284477,43644269,43706957,44032265,44235819,44454878,44467536,44705609,44709429,44714957,44785020,44992589,45000980,45004239,45092824,45474377,45498917,45520349,46061675,46182987,46197206,46204228,46225878,46342697,46491869,46594620,46597269,46693469,46759070,46832277,47400452,47659644,47758398,47770688,47797481,47826629,48229865,48365124,48497995,48985454,49035221,49650724,49700928,49858478,50025978,50156357,50177848,50303958,50315165,50377220,50729427,50834724,50910638,51222461,51226877,51233918,51420389,51487077,51532229,51941909,51987326,52166420,52771694,52838718,52866669,53009774,53315500,53499998,53576475,53723957,53742024,53758589,53770276,53811134,53903369,53916197,54001176,54010389,54087638,54458765,54485261,55274010,55367972,55498670,55913544,56075486,56110884,56324777,56450079,56507177,56508677,56948270,57148240,57184077,57367838,57451471,57513016,57748515,57875838,58095806,58197594,58401892,58445609,58482389,58888046,58915646,58958944,59201949,59308820,59383565,59452637,59552510,59621549,60136217,60378198,60392175,60452664,60459777,60707870,60751323,60831821,61353614,61420265,61440029,61522409,61522646,61598416,61644477,61840397,61865229,61988861,62027224,62438510,62599704,62815949,62902737,63404789,63627029,63878510,63915038,63978600,64060869,64091477,64291770,64418320,64580957,64702143,64751069,64808536,64854317,65029070,65044406,65063645,65350518,65464334,65801829,65965695,66006040,66192926,66328812,66340036,66598404,66882909,67202475,67317509,67512557,67541294,67587689,68009247,68243840,68337924,68577888,68627369,68663837,69103838,69282850,69298218,69412718,69477629,69677956,69780627,69979220,70306077,70363408,70424667,70431557,70478981,70575437,70806509,70987709,71170584,71260278,71264996,71367326,71401757,71463012,71682640,71690678,71930597,71975925,72176909,72207309,72470610,72849444,72909603,73144589,73146077,73161989,73249709,73451465,73617470,73620974,73704318,74256795,74263384,74496989,74753198,74842166,74926212,75202646,75231332,75655646,75750789,76165000,76451006,76481368,76654212,76748510,76774320,76814680,76956638,77001677,77075381,77150124,77301984,77571869,77970797,78034884,78076374,78147518,78345869,78578837,78598958,78615806,78930579,79158834,79207248,79434669,79437209,79592846,79716854,80066907,80423789,80445549,80513054,80642970,80762669,80848389,81084484,81851709,81892608,82073530,82289368,82359044,82455965,82934957,83072175,83097449,83139420,83209949,83228606,83382377,83525966,83546270,83546307,83556734,83696669,83710744,83842149,83975064,84125780,84632277,85127006,85584494,85685625,85747795,86019168,86041539,86370089,86371110,86397429,86416515,86592477,86691638,86695096,86743901,86864366,86923949,86964732,86998646,87122069,87648020,87771470,88141758,88215461,88255094,88340964,88531077,88610320,88630334,88682048,88814789,88848664,88978877,89108154,89300469,89352617,89723309,89737070,89881229,90115229,90131165,90448077,90578270,90638589,90712888,91064996,91208829,91221086,91398000,91452557,91661246,91681748,91794317,91954109,92027465,92098212,92129184,92177616,92258510,92396248,92575539,92920580,92971454,93142469,93283604,93439229,93840926,93904107,93964975,94030869,94174587,94245341,94284329,94471947,94682776,94771480,95663789,95793065,96072879,96167870,96446510,96651254,96771564,96947657,96987477,97050221,97067957,97491200,97514729,97531983,98057486,98226197,98407565,98471909,98488236,98498957,98742221,98947158,98975500,98988069,99031652,99054326,99608861,99652766,99686610,99767304,99847109,99893645,99954747,...,580283525339504751926650794971389650037861225027309071550039000884346023372326200151242850775314949084833043265602641705354363349790243267648681452813171570949137196783198328564194868755661869089698119815103772806141094794760090512751435785001641637373784164227654687130272702168399706565876434848328423555420393314447969833412685995012766059501584084800283632169067937945987694152822865540150529384777435225035653658376715512223910819891369865268986432157786017328125292482012866949184152162037981520790172315885329068667739408233972660959136498040458109961196151223982026253821521568894889046118300950307407518221976662985928428404810973631807860935711259172040102928906543216495242254250958900888401570202334919724360187587830110942181207133820733469606792646227570667936173767777819187758472564474919075039689742495951210496561474299511097820006602682110931071005076536414283079717788530611486635719911366013681991234217665317186076479210678103114092446271993924368836198700155788335882635691382957891562692546852659758343429838439585283288946134963795160997735294157468755699017045496575026579270517127550455013342255138135125342017642104107877068831917321158395393098967995128773752899352877560154608146194474089831296106068585035298667897670270332221041306122268886827381493210933629488637038543184834372492170877865107258024063005215537150700730309990727086318629796648067635001487297341363185596596428984359612628306321031746777045769439188593059758309840727125375480586884052545642806982871975976410363021328229695196878506387091414772329006855526613757990109905693820257057965838503118406607011187615966821234048888913639375132464742828611314394564588950246138235270007202548872180206613664014405459547296366361875752108732116913561824206156468812338901376877894342919692924844849623641704235582941302350071163660691967127240614262338035692705187668625696232295011161358882350364226253999867812393054203171089960449724814754131142608023858259663531130521292525705148215034274446279559827203062013975501722258701845591261578028730816135421023977838222844264446464873645004350200463470321635566173553028075016994206374356747376954758948802127888289871976463841254550583673988298850210300399440921652876567513102154767471446315809050614172368033574229089528415243798714851141047901136589021357034273847507853128895391740633812150920704317105443292906668194821462061795267952350869963158414849824558761245818802854468172}
15260   846627585193691580543401842063718942470013047934829711007004866: {289579,518194,654331,927139,944074,1017931,1108651,1247794,1401436,1585064,1766332,1783197,1793482,2101819,2156554,2514765,2682416,2941234,2997139,3017718,3302482,3442099,3734045,3843274,4143154,4150291,4341405,4480854,4504232,4562314,4630832,4678411,4741714,4941499,5029051,5037436,5040394,5067261,5209686,5334350,5438181,5457874,5552851,5934034,6074059,6401220,6420091,6474025,6483772,6506419,6534957,6824074,6827968,6851011,7238194,7354641,7414184,7620500,7681464,7707451,7768830,8048011,8140232,8286752,8340957,8472091,8641647,8755525,8894371,9003772,9144600,9157761,9179914,9215965,9230899,9297034,9322596,9547329,9703421,9754240,10095501,10287675,10316659,10437436,10506630,10565491,10795132,10929994,10973520,10978771,11059158,11207072,11278282,11568082,11705088,11718139,11881651,11963299,12083205,12289171,12345210,12370459,12607956,12780874,12888752,13168224,13179379,13420651,13445805,13642834,13821331,13862030,14158282,14176337,14237245,14342192,14356252,14379259,14386954,14499846,14501194,14562669,14729482,14775619,14814252,15091411,15355954,15406051,15797731,15923794,16134966,16265371,16421174,16510445,16634436,17084694,17269699,17499739,17617714,17849541,17980005,18013541,18110011,18123082,18459274,18489091,18942652,19166899,19178672,19678664,19764499,19802900,19812534,20061571,20251910,20267137,20283619,20408914,20630482,21019099,21238339,21392092,21456931,21459082,21576006,21602299,21623357,21825704,22138497,22180891,22284082,22611811,22683379,22968931,23050834,23133052,23254184,23324251,23378482,23405205,23433034,23458820,23573649,23586350,23607211,23705554,23763480,23868874,24029491,24195082,24302292,24553917,24683314,24935539,24965552,25142899,25347712,25368182,25660605,25733630,25761091,25965859,26140234,26160957,26248636,26441131,26572557,26643739,26733915,26815304,26837554,27371312,27447691,27466685,27514219,27779611,27905074,28086246,28150584,28303620,28306939,28335909,28516176,28754482,28931300,28945064,29283259,29569089,29605099,29669251,29683036,29712765,29733331,29863114,30024892,30126034,30167217,30190528,30243379,30484454,30559819,30792726,30880356,30890510,31249651,31382482,31669407,31693616,31781109,31849181,31930771,32080698,32115019,32131029,32298619,32424245,32474314,32481571,32483144,32563197,32749372,32960022,32991754,33386611,33404554,33506059,33512600,33625219,33684691,33733225,33744091,33764914,33964344,33980971,34040011,34098979,34203765,34392739,34405637,34442812,34483282,34717560,34916971,34994482,35003297,35118172,35249482,35378059,35655318,35720851,35920101,36004531,36062794,36129052,36240260,36417621,36484016,36510619,36543537,36551757,36709832,36955579,36972874,37032064,37068612,37231339,37701675,38209887,38251225,38262811,38328274,38347077,38476651,38742331,38777482,38909094,39057255,39058771,39456221,39473674,39476659,39516104,39523282,39528571,39632179,40067914,40094851,40215120,40265482,40471005,40479870,40602091,41044518,41050461,41249482,41298561,41300131,41344589,41398699,41496979,41643859,41661072,41741419,41799352,41808412,41838691,42014037,42320731,42470482,42481205,42559051,42762025,42842659,42896128,42907594,42980997,43004554,43030291,43149765,43169072,43178528,43198282,43309579,43488312,43494331,43549220,43708232,43718441,43723651,43905617,43922482,44129300,44131891,44356171,44455617,44534299,44622931,44933205,45061771,45192019,45242010,45312394,45498830,45748939,45833539,45901470,45959899,46026416,46293691,46320350,46458859,46594354,46750492,46868706,46947451,47024271,47251029,47489482,47504371,47928752,47932051,48192082,48258144,48463771,48472114,48491949,48565206,48575844,48724339,48924351,48961568,49017811,49054171,49076157,49150910,49162819,49171761,49251441,49413811,49540234,49801099,49863634,49974259,50004710,50111491,50213659,50232274,50323889,50382499,50549539,50780371,50977446,50981212,51071971,51231451,51263131,51314430,51339944,51468874,51589076,51771800,51779718,51821059,51846141,51878482,51911779,52150531,52259064,52896081,52955160,53009482,53239132,53381299,53414194,53424485,53433931,53455809,53460139,53590099,53683282,53769019,53794291,53821605,53898614,53907082,53919846,53944411,54018499,54097832,54172029,54260779,54273821,54284611,54290412,54332059,54447789,54523036,54598596,54678739,54735392,54774741,54842674,54944419,54966091,54975754,55009219,55073371,55081764,55115779,55241482,55303051,55506634,55584420,55792651,55811299,55947274,55975891,55981275,56029459,56079154,56203339,56220331,56251225,56304211,56366030,56485504,56545051,56621731,56636851,56696611,56707469,56755219,56896699,57004699,57044011,57056971,57095419,57194779,57230851,57277939,57312499,57409712,57412291,57516331,57532232,57575299,57594379,57640819,57658891,57694171,57712636,57753139,57755285,57757437,57777331,57808579,57816211,57853291,57867619,57902179,57910354,57995059,58037971,58067131,58106011,58113859,58128691,58160731,58201771,58208251,58212139,58213651,58215379,58216819,58243275,58557514,58791447,58981092,59250565,59290048,59574555,59612572,59713360,60005652,60435082,60456405,60477394,60604234,60688714,60860061,61083669,61567982,61577316,61634504,62063405,62073394,62126160,62129692,62274261,62443036,62489554,62722310,62945482,62971525,63110794,63166701,63317074,63543405,63546192,63677864,63863157,64109382,64486832,64585926,64723761,64980461,65208025,66162994,66243154,66267904,66644375,66682317,66701304,66762634,66921197,66961714,67071944,67177530,67212845,67501470,67596082,67639236,67779632,68029834,68187082,68422474,68618194,68649436,69125194,69209965,69295809,69306342,69338817,69784114,69891930,69967766,70138605,70451624,70476754,70488892,70859314,71100678,71278282,71435300,71489466,71637597,71656032,71891270,72001568,72003197,72013852,72547686,72748114,72972082,73002365,73246901,73478181,73698680,73899082,73985054,74136025,74476086,74551392,74670034,74787717,74814512,75038967,75266772,75455937,75542482,75565830,75858209,76245436,76252086,76365957,76850877,76940554,76998020,77167784,77330482,77471794,77534030,77542354,77596792,77742581,77980989,78069514,78249630,78418954,78905482,78935932,79157541,79251082,79258077,79373777,79457674,79514661,79971634,79973250,80142154,80249997,80417909,80481994,80504264,80522900,80603552,80613036,80655414,80716701,80846717,81001764,81010670,81131457,81592114,81792082,82192636,82486972,82507550,82750474,82847429,82911015,82925045,82947082,82979794,83051958,83240914,83248005,83273482,83466272,83630674,83870316,84113229,84166326,84531154,85071754,85304800,85414492,85422405,85670482,85722360,86051757,86139082,86269524,86480434,86573194,86604082,86813757,87097445,87134024,87143709,87296391,87401554,87474025,87602838,87735772,87796234,87954260,88332069,88373469,88428082,88438416,88696714,88797872,88963230,89023282,89081245,89177212,89289034,89328765,89603300,90078514,90165514,90339082,90504701,90567297,90678996,91061805,91117232,91437184,91481482,91875274,92030421,92043082,92283969,92397624,92509781,92829230,92900914,93037834,93040836,93310474,93421757,93657765,93741436,93850954,93899556,94039165,94886482,94894112,94933937,95013704,95206250,95284016,95433994,95511634,95601710,95609549,95817765,95820754,95872557,95966486,95967900,96018350,96276412,96437655,96627480,97059082,97132592,97212804,97405834,97430482,97543605,97566609,97651594,97944394,98025777,98196501,98272424,98474321,98666314,98737714,99009060,99139594,99289389,99493218,99510054,99583282,99897606,99901616,99929482,...,870425288009257127889976192457084475056791837540963607325058501326519035058489300226864276162972423627249564898403962558031545024685364901473022179219757356423705795174797492846292303133492803634547179722655659209211642192140135769127153677502462456060676246341482030695409053252599559848814652272492635333130589971671954750119028992519149089252376127200425448253601906918981541229234298310225794077166152837553480487565073268335866229837054797903479648236679025992187938723019300423776228243056972281185258473827993603001609112350958991438704747060687164941794226835973039380732282353342333569177451425461111277332964994478892642607216460447711791403566888758060154393359814824742863381376438351332602355303502379586540281381745166413271810700731100204410188969341356001904260651666728781637708846712378612559534613743926815744842211449266646730009904023166396606507614804621424619576682795917229953579867049020522986851326497975779114718816017154671138669407990886553254298050233682503823953537074436837344038820278989637515144757659377924933419202445692741496602941236203133548525568244862539868905775691325682520013382707202688013026463156161815603247875981737593089648451992693160629349029316340231912219291711134746944159102877552948001846505405498331561959183403330241072239816400444232955557814777251558738256316797660887036094507823305726051095464986090629477944694972101452502230946012044778394894643476539418942459481547620165568654158782889589637464761090688063220880326078818464210474307963964615544531992344542795317759580637122158493510283289920636985164858540730385586948757754677609910516781423950231851073333370459062698697114242916971591846883425369207352905010803823308270309920496021608189320944549542813628163098175370342736309234703218508352065316841514379539387267274435462556353374411953525106745491037950690860921393507053539057781502938544348442516742038323525546339380999801718589581304756634940674587222131196713912035787389495296695781938788557722322551411669419339740804593020963252583388052768386892367043096224203131535966757334266396669697310467506525300695205482453349260329542112525491309561535121065432138423203191832434807964695761881825875510982448275315450599161382479314851269653232151207169473713575921258552050361343634292622865698072276711571851704883532035551410771261779693343087610950718226381056475658164939360002292232193092692901928526304944737622274736838141868728204281702258}
15261   850427137410629920397112313601926775094586386694857032671649880: {30518,777291,1386931,1416111,1751795,1871691,1981330,2102154,2207915,2347114,2377596,2649498,2690223,2848571,3234831,3353020,3852431,3941203,4023624,4051978,4400603,4411851,4526577,4953723,5148754,5630290,5764911,5788540,5974472,6132451,6214731,6296795,6487411,6721281,6756348,6843471,6946248,7112571,7122703,7250908,7522138,7556154,7560591,7814529,8001525,8104715,8186811,8534960,8713276,8901051,9267730,9525625,9601830,9725658,9806188,10175290,10236111,10241952,10358440,10377994,10857291,11121276,11254715,11277658,11430750,11473618,11522196,11653245,12043291,12192800,12210348,12417583,12430128,12549418,12729772,13046795,13299658,13460668,13493915,13505658,13716900,13769871,13945551,13983894,14008840,14606239,14631360,14745544,14842619,15606784,15656154,15759945,16110940,16192698,16394991,16460280,16588737,16781338,16810608,16830539,16917423,17218831,17352123,17426371,17557632,17927740,17945315,18313811,18517815,18573178,18815291,18911934,19097491,19171311,19333128,19416892,19752336,20244271,20347411,20380954,20464251,20791003,20793045,20935954,21237423,21392171,21451963,21513288,21534378,21580431,21749769,21751791,21844858,22094223,22179248,22220938,22221378,22779592,23033931,23296858,23463391,23678315,23680042,23799388,23885691,23949898,23973340,24202449,24598330,24631761,24750539,24753625,24951654,24964771,25326931,25627041,25868698,25961003,26416712,26426571,26740115,27134698,27184623,27282130,27327802,27534203,27688911,27707471,27731914,28413978,28422751,28691531,28768008,28798354,28916315,29066651,29067730,29238371,29323525,29517996,29627023,29704350,29718801,30051754,30377865,30586618,30613371,30800731,30945723,31010003,31206940,31216499,31431532,31684640,31923514,32088138,32121103,32188623,32364009,32403056,32604178,32619851,32738556,32810795,33426123,33519130,34214140,34576251,34576591,34699578,34881276,35067723,35149551,35163251,35184203,35188230,35379525,35430076,35558331,35645220,35803311,36164125,36181330,36292623,36303322,36453438,36463643,36574433,36674459,37024971,37103795,37237391,37448328,37531115,37534112,37738160,37766051,37772938,37781212,37876378,38021568,38052273,38205778,38244703,38488571,38600445,38605354,38630458,39210351,39372954,39425452,39617020,40222956,40256331,40273114,40603930,40936715,41056968,41173808,41857611,41890750,41937658,42116698,42129369,42225876,42248074,42374812,42455430,42774264,42803603,42841372,42898258,43053515,43131723,43296079,43396950,43417596,43897715,43946696,44098739,44318699,44524554,44794671,44922451,45037338,45161315,45189051,45285792,45300325,45513322,45517391,45605020,45726681,45887290,46189089,46269179,46290080,46320534,46335765,47073723,47335603,47370923,47540424,47583251,47893468,48121047,48206411,48556828,48711471,48724716,48735676,48877091,49124058,49395130,49424816,49440033,49487631,50106831,50233498,50268900,50340703,50647371,50946516,51093859,51106319,51129436,51427183,51511211,51664218,51724923,51794779,51878792,52076340,52124314,52249190,52260515,52491723,52677258,52874223,53016778,53482977,53620160,53930191,53961340,53973160,54094191,54193578,54360390,54436525,54596698,54635290,54726024,54733948,55064748,55161625,55213019,55459311,55548096,55602918,55718131,56018716,56109754,56332219,56425978,56960531,57307996,57368699,57492411,57533020,57626131,57845051,57950603,57984416,58103482,58166223,58363641,58438115,58687951,58804559,59026031,59210511,59246218,59274156,59284923,59307178,59910940,60101871,60259279,60322680,60398223,60719805,61201960,61566777,61645171,61874223,62491608,62634671,62672602,62699028,62712618,62978794,63001372,63069691,63383759,63705723,63726515,63921754,64174930,64344192,64361391,64486345,64506831,64655932,64714750,64753608,64767792,64797423,65027119,65173643,65232468,65321563,65323830,65434876,65462698,65562348,65668588,65883723,66193950,66548915,67521811,67550218,67622290,67798354,67863015,67897193,67968591,67969928,68153795,68248245,68356079,68419240,68436754,68852205,69039624,69128188,69480525,69678752,69891531,69990731,70125738,70303059,70441231,70528108,70606880,71234223,71274412,71762140,71893128,71915290,72140795,72229372,72288123,72387216,72597052,72708171,72798128,72847809,72863766,72868099,73032988,73259563,73360291,73442352,73726365,73956811,74112560,74199802,74310351,74470931,74515715,74641700,74795451,75007065,75348411,75535954,75940271,75973103,76242271,76466169,76471818,76646011,76971645,77009916,77043130,77203311,77383614,77477194,77657700,77662115,77669577,77698138,77817723,77828399,78053795,78140123,78388596,78641456,79432740,79514223,79597330,79713359,79727578,79763482,79858698,80007536,80121291,80201411,80524923,80608540,80847921,80860623,80867771,80879769,81146748,81148171,81435618,81444892,81595151,81784554,81834898,81897894,82103088,82264011,82411951,82463631,82534859,82622646,82834880,82862223,83032348,83136991,83259951,83373514,83376630,83537002,83839930,83920911,84118731,84212851,84222268,84549045,84721211,84724540,84728256,84991018,85150876,85445242,85479176,85637771,85811795,85988371,86114568,86298348,86568954,86865531,87288538,87413914,87836271,87877403,88064530,88111115,88471638,88782763,88909756,88935072,89025551,89294125,89360891,89411218,89418858,89429914,89570040,89985178,89986859,90001960,90008478,90017315,90185648,90652623,90716091,90832891,90906351,90948754,90997834,91033071,91040698,91089103,92123350,92351973,92365974,92394412,92408456,92451756,92613203,92685394,92726239,92866031,92983738,93110091,93189240,93194538,93386938,93518140,93664554,93734331,94083465,94418223,94666191,94800904,94975611,95306795,95319288,95423219,95516796,95541376,95594962,95607611,95653258,96164073,96247525,96459730,96667091,96730248,96878889,96995990,97080803,97970908,98070442,98669915,99244491,99301448,99314171,99364731,99401856,99716956,...,1305637932013885691834964288685626712585187756311445410987587751989778552587733950340296414244458635440874347347605943837047317537028047352209533268829636034635558692762196239269438454700239205451820769583983488813817463288210203653690730516253693684091014369512223046043113579878899339773221978408738952999695884957507932125178543488778723633878564190800638172380402860378472311843851447465338691115749229256330220731347609902503799344755582196855219472355018538988281908084528950635664342364585458421777887710741990404502413668526438487158057120591030747412691340253959559071098423530013500353766177138191666915999447491718338963910824690671567687105350333137090231590039722237114295072064657526998903532955253569379810422072617749619907716051096650306615283454012034002856390977500093172456563270068567918839301920615890223617263317173899970095014856034749594909761422206932136929365024193875844930369800573530784480276989746963668672078224025732006708004111986329829881447075350523755735930305611655256016058230418484456272717136489066887400128803668539112244904411854304700322788352367293809803358663536988523780020074060804032019539694734242723404871813972606389634472677989039740944023543974510347868328937566702120416238654316329422002769758108247497342938775104995361608359724600666349433336722165877338107384475196491330554141761734958589076643197479135944216917042458152178753346419018067167592341965214809128413689222321430248352981238174334384456197141636032094831320489118227696315711461945946923316797988516814192976639370955683237740265424934880955477747287811095578380423136632016414865775172135925347776610000055688594048045671364375457387770325138053811029357516205734962405464880744032412283981416824314220442244647263055514104463852054827762528097975262271569309080900911653193834530061617930287660118236556926036291382090260580308586672254407816522663775113057485288319509071499702577884371957134952411011880833196795070868053681084242945043672908182836583483827117504129009611206889531444878875082079152580338550564644336304697303950136001399595004545965701259787951042808223680023890494313168788236964342302681598148207634804787748652211947043642822738813266473672412973175898742073718972276904479848226810754210570363881887828075542015451438934298547108415067357777557325298053327116156892669540014631416426077339571584713487247409040003438348289639039352892789457417106433412105257212803092306422553387}
15262   854243605618205097423548100599756954792599481063150103258971304: {45777,441757,579158,1036388,1308662,1350397,1531261,1711837,1854278,1888148,1982161,2035862,2217302,2495588,2699857,2802872,2971995,3153231,3170128,3520671,3532664,3566394,3586964,3974247,4191275,4203638,4313108,4385917,4649761,5029530,5227663,5364832,5698657,5882468,5994278,6035436,6077967,6219217,6392161,6604964,6651037,6884198,7081057,7235675,7252561,7423777,7468090,7509277,7680061,7686548,7723131,8275537,8286308,8300582,8445435,8682810,8698717,8961708,9008464,9063635,9124628,9261664,9356822,9372061,9483428,9882998,10058102,10074872,10080788,10134522,10207261,10419372,10456417,10668700,10787617,10876362,10891595,10915748,11105702,11199997,11283207,11334231,11868068,12100897,12148118,12257735,12802440,12840182,12902351,12948050,12967544,13012838,13069914,13476061,13648148,13655936,13702022,13901595,14402745,14434237,14476388,14513617,14588487,14709282,14828368,15241000,15262935,15362928,15414902,15537660,15566991,15617377,15695677,15912215,16096022,16280464,16573504,16629661,16681914,16825835,16916487,16944182,17146125,17210427,17246557,17283294,17511050,17788742,18007544,18289200,18315522,18359828,18431930,18461798,18594068,18645192,18824127,18919261,19094658,19406842,19508480,19816957,19932143,19949487,20138675,20191002,20258487,20409661,20575350,20630737,20633318,20777761,20874872,20975841,21013260,21130982,21290077,21508561,21590264,21653857,21859988,21947040,21957542,22015837,22118316,22409675,22414144,22556564,23114623,23136164,23162077,23410176,23436278,23484231,23763302,23926598,23952071,24166410,24271115,24289047,24359761,24578342,24690420,24740918,25172007,25215912,25561748,25742161,25777504,25947037,26336448,26358758,26557777,26841302,26891610,27285668,27629137,27642662,27724060,27761761,27859767,28092061,28223677,28316564,28352674,28367901,28474490,28684384,28712504,28758518,28773908,28877437,28999692,29002388,29125338,29458964,29551238,29628504,29749235,29908477,29966675,30182822,30226897,30353761,30571431,30711908,30812102,31296061,31403931,31595462,31847588,32269932,32301567,32405437,32530742,32767287,32830561,32842348,33011677,33020890,33132061,33268872,33331407,33332067,33848317,34169388,34539398,34787197,34945287,34999478,35235428,35479261,35520063,35699082,35924847,35960010,36027082,36217297,36220022,36246164,36776737,36887761,36897495,36918548,36978182,36998497,37427481,37874017,37885304,38333798,38357344,38453359,38518561,38784061,38803047,39008675,39047761,39289415,39357328,39528998,39605800,39625068,39673297,39724957,39982177,40123142,40503820,40534274,40567238,40702047,40743037,40817828,40843261,40923195,40991703,41260964,41597871,41829661,42038198,42348911,42476678,42620967,42767675,42784184,42913862,42918164,43152012,43197531,43204598,43246714,43394257,43601595,43651408,43943761,44034337,44276994,44287595,44361782,44393761,44556525,44568164,44967997,45055261,45077631,45185617,45223622,45366758,45393943,45401437,45700561,45879927,45937862,46101668,46266104,46508368,46648502,46756964,46810410,46861777,46866068,46917640,47023057,47063197,47147298,47172700,47214422,47226515,47411108,47526960,47617597,47737748,47850877,47885271,48058982,48132207,48195937,48309661,48374843,48390164,48572497,48604584,48861787,48906267,49107834,49281815,49339837,49366628,49482397,49521275,49658977,49833757,49871078,49931104,50211937,50278695,50285798,50614561,50695424,50736364,50877217,50942161,51167197,51321210,51325777,51357277,51467260,51513697,51522182,51575761,51729661,51821137,51931718,52049367,52180561,52280468,52321914,52497272,52782345,52882262,52951357,52968515,53145114,53287478,53467830,53551715,53566561,53630608,53675108,53771617,53996797,54264097,54271995,54454983,54545761,54660061,54680157,54742624,54817057,54883261,54895382,54933370,55028438,55035217,55056637,55369297,55509661,55559222,55742077,55810148,55854397,55891261,56172492,56192977,56244061,56301168,56360737,56457937,56489761,56536957,56607240,56613878,56659407,56671818,56814567,57000061,57006275,57032352,57091537,57104317,57129661,57167137,57275677,57308667,57344797,57400417,57475261,57508964,57595357,57696337,57796561,57857617,57862600,57886417,57890128,57908031,57945687,58001761,58040317,58089277,58192957,58226977,58230397,58566518,59059431,59138178,59210198,59338502,59366072,59425530,59466662,59473687,59726228,59866835,60049784,60252068,60334434,60381056,60409671,60486758,60696035,60905895,60919595,60968908,61119638,61585452,61760712,61781020,62499302,62764964,62836125,62906487,63175047,63338814,63372111,63387232,63562218,63683145,63698362,63861542,63911795,64161396,64230038,64262058,64347387,64597238,64848490,64948628,64963142,64966288,65095425,65126394,65498744,65920044,65983508,66773222,66786831,66809108,67012118,67025200,67250438,67369382,67451675,67466450,67488182,67529828,67556007,67928688,67961942,68080022,68197958,68269983,68407530,68417435,68785478,68811274,68830935,68885624,68966564,69435120,69480801,69833942,69988964,70006594,70023395,70236344,70498964,70756118,71310636,71441702,71634995,71840202,71916275,72009062,72125588,72258104,72480520,72835242,72968032,73021238,73087074,73103514,73419664,73686087,73911158,73945748,74064128,74092695,74137224,74462678,74794279,74888675,75350247,75402239,75403350,76419774,76502450,76525622,76656548,76694154,76953302,77484662,77496327,77554964,77818188,78114510,78117542,78186471,78373785,78751715,78912442,78947348,78953318,79015887,79032208,79046564,79057142,79264358,79525167,80135828,80189702,80430240,80530964,80819915,80857399,80942010,80959740,81204182,81290367,81540585,81793595,81895047,81952935,82085735,82089036,82100922,82498964,82597122,82600262,82689178,82797398,82950791,82993958,83287718,83322144,83404377,83482838,83598704,83616824,83677382,84028074,84164631,84638967,84641462,84940964,84962410,85118102,85524050,85685318,85792256,85815188,85961994,86009108,86060582,86299530,86338144,86357056,86396564,86402591,86410235,86619158,86888767,86976624,86988662,87098440,87155223,87416464,87436882,87447302,87811234,87844964,88160135,88258600,88263782,88712342,88869327,88911234,88960767,89068598,89093015,89245862,89702675,89866410,90123542,90286715,90384038,90484020,90624788,90746315,90997660,91291235,91497878,91667078,91802940,91919798,92052832,92587382,92640700,92917718,93188708,93302125,93500984,93737412,93894902,94008903,94048542,94068927,94097983,94468191,94502058,94978964,95008742,95039347,95857504,95864102,95882631,96262395,96384164,96516288,96893951,96927542,96944228,96983898,97072125,97130412,97151688,97394231,97448678,97848702,97923136,97985745,98035622,98108342,98152314,98194047,98301820,98325638,98343522,98502882,98827622,99080468,99290925,99602198,99727268,99948518,...,1740850576018514255779952384914168950113583675081927214650117002653038070116978600453728552325944847254499129796807925116063090049370729802946044358439514712847411590349594985692584606266985607269094359445311318418423284384280271538254307355004924912121352492682964061390818106505199119697629304544985270666261179943343909500238057985038298178504752254400850896507203813837963082458468596620451588154332305675106960975130146536671732459674109595806959296473358051984375877446038600847552456486113944562370516947655987206003218224701917982877409494121374329883588453671946078761464564706684667138354902850922222554665929988957785285214432920895423582807133777516120308786719629649485726762752876702665204710607004759173080562763490332826543621401462200408820377938682712003808521303333457563275417693424757225119069227487853631489684422898533293460019808046332793213015229609242849239153365591834459907159734098041045973702652995951558229437632034309342277338815981773106508596100467365007647907074148873674688077640557979275030289515318755849866838404891385482993205882472406267097051136489725079737811551382651365040026765414405376026052926312323631206495751963475186179296903985386321258698058632680463824438583422269493888318205755105896003693010810996663123918366806660482144479632800888465911115629554503117476512633595321774072189015646611452102190929972181258955889389944202905004461892024089556789789286953078837884918963095240331137308317565779179274929522181376126441760652157636928420948615927929231089063984689085590635519161274244316987020566579841273970329717081460771173897515509355219821033562847900463702146666740918125397394228485833943183693766850738414705810021607646616540619840992043216378641889099085627256326196350740685472618469406437016704130633683028759078774534548870925112706748823907050213490982075901381721842787014107078115563005877088696885033484076647051092678761999603437179162609513269881349174444262393427824071574778990593391563877577115444645102823338838679481609186041926505166776105536773784734086192448406263071933514668532793339394620935013050601390410964906698520659084225050982619123070242130864276846406383664869615929391523763651751021964896550630901198322764958629702539306464302414338947427151842517104100722687268585245731396144553423143703409767064071102821542523559386686175221901436452762112951316329878720004584464386185385803857052609889475244549473676283737456408563404516}
15263   858077064527258751607828719136536860762554641253553521284558679: {15263,61036,868737,1295485,1554582,1844161,1962993,2360185,2452513,2773862,2781417,2832222,3053793,3091081,3119485,3183697,3325953,3366493,3503590,3743382,3962660,4204308,4415830,4483705,4552873,4694228,4755192,4918321,5298996,5349591,5380446,5391385,5697142,6305457,6469662,6706040,7353085,7501981,7544295,7704862,7882406,8047248,8049793,8103956,8256205,8801206,8815513,8823702,8861017,8991417,9053154,9608185,9860257,9907446,10297508,10326297,10357885,11202135,11260580,11346601,11405785,11529822,11577080,11854285,11948944,12144001,12264902,12429462,12450873,12593590,12600985,12974822,13024215,13185337,13335875,13442562,13512696,13644685,13686942,13688893,13892496,14035233,14225142,14245406,14332657,14501816,14824497,14835085,15044276,15087153,15112308,15121182,15201783,15232561,15629058,15756601,16003050,16209430,16314543,16373622,16423633,16658553,17060185,17069920,17163817,17426552,17541277,17802102,18064477,18095485,18222177,18265513,18512953,18535460,18817777,18829693,18891481,19051250,19203660,19260273,19422075,19451316,19519257,19604871,19612376,19890637,20350580,20468377,20472222,20483904,20553033,20699881,20716880,20755988,21714582,21789361,22063923,22236253,22242552,22509430,22555316,22861500,22947236,22949785,23044392,23122353,23242585,23306490,23381593,23908897,24086582,24144033,24385600,24420696,24835166,24860256,24980701,25022871,25082761,25098836,25123441,25416273,25459544,25924941,26093590,26266575,26599316,26683113,26841037,26921336,26987830,27011316,27324985,27433800,27473283,27537841,27539742,27547537,27647895,27692697,27751417,27891102,27967788,28017680,28048861,28195705,28641987,28920205,29110263,29212478,29250637,29262720,29491088,29678737,29685238,29754253,30286503,30664633,30773521,30863025,30949977,31213568,31312308,31519890,31643161,31696473,31952185,32095837,32221880,32385396,32486257,32745193,32789982,32920560,32936313,32951017,33149641,33177474,33369361,33562676,33621216,33661078,33834846,33908173,34107085,34437662,34655075,34704246,34852742,35115264,35154417,35167897,35395705,35644953,35697841,35855480,35859553,35889897,35890630,35967385,36249615,36252985,36627622,36823705,36867513,37035630,37111377,37146356,37436161,37630582,37823868,37917661,37933417,38194982,38342622,38389885,38463457,38550733,38666256,38833784,38978377,39323521,39469177,39504672,39538137,39809485,40261953,40337415,40482841,40488542,40694822,40761908,40928502,41052935,41463993,41582006,41586090,41794993,41871908,42474846,42529011,42580381,42711735,42784342,42903926,43026576,43068756,43137777,43160862,43499538,43503582,43688007,43689716,44044285,44188446,44326857,44329693,44334697,44358496,44441876,44442756,45196297,45274233,45307705,45340957,45486493,45559184,45935113,46067862,46148185,46218153,46249897,46593716,46598497,46926782,47356630,47360084,47375161,47393193,47598776,47704201,47771382,47839321,47899796,47946680,48277897,48404898,48796113,48976717,49196660,49263522,49388893,49501078,49507250,49531335,49551517,49846141,49903308,49929542,50629775,50653862,51022285,51254082,51434977,51518017,51576205,51716857,51737396,51809097,51922006,51945313,52499217,52543561,52833424,52853142,53480230,53548623,53647705,53940015,54023953,54040623,54269396,54330033,54369246,54464713,54564260,54627337,54655604,54681757,55068406,55377822,55414942,55463828,55467273,55639081,55710205,56203681,56523673,56827956,56845502,56968057,56971213,57311401,57383062,57500697,57536016,57596708,57627085,57832630,57895393,57906337,58133302,58135460,58446205,58461181,58476742,58565053,58582585,58647050,58965875,59035992,59254046,59263885,59293497,59408700,59437602,59466493,59672185,59836561,60103508,60184713,60274921,60398377,60487705,60755730,60801411,60850857,61048537,61173236,61226742,61325161,61456801,61601462,61708285,61891446,62006137,62020006,62413880,62432998,62616061,62643097,62863064,63057297,63225841,63353497,63369280,63420455,63715017,63847028,64176276,64242206,64334075,64370793,64377246,64728018,64768321,64806112,64806897,64870071,65169217,65208356,65239702,65350585,65477112,65507761,65532361,65621590,66048457,66415491,66542673,66778657,66852246,66988993,67038260,67093885,67835433,68050137,68362333,68428280,68645581,68682361,68906793,69152502,69153182,69399156,69496297,69668377,69762552,69762685,69972753,70135446,70215615,70266361,70299102,70326502,70368406,70376460,70489021,70720947,70759050,70821633,70860152,71116662,71290440,71325757,71531977,71606622,71886205,72088473,72328250,72362660,72585246,72606644,72906876,72927286,73148866,73164721,73348918,73404913,73661751,74022793,74047537,74049942,74207590,74474782,74657785,74806617,74896656,75062230,75068224,75315085,75428697,75476320,75532102,75545876,75561037,75562424,75752756,76043136,76104546,76211135,76224961,76411556,76489406,76977142,76981815,77022193,77200890,77210708,77226275,77260916,77283273,77393161,77897577,77966641,78382873,78420702,78456205,78482871,78745908,78850904,79013197,79234040,79323393,79717671,79931217,80201745,80445912,80452381,80512662,80546228,80784457,80979217,81053761,81185785,81207860,81813361,81873430,82113936,82343073,82347616,82400055,82469113,82479385,82542657,83119501,83232217,83338833,83511385,83529097,83715222,83781500,83875316,84233396,84258738,84412285,84423361,84451752,84496148,84749624,84910860,84920817,85007727,85548528,85607206,85682744,85796516,85958017,86107030,86208205,86263446,86457361,86592158,86793900,86835192,87238477,87486205,87795430,87849777,87893392,88123705,88197478,88383901,88564513,88637398,88707267,88815297,88853953,89007753,89049108,89138295,89199993,89217121,89589342,89747593,89844902,90074676,90083041,90156985,90280883,90322630,90378102,90501651,90571584,90600650,90730137,90855361,91026644,91034782,91210040,91453362,91533313,91679457,91768777,91774580,91900897,91979017,92080957,92378178,92432185,92538358,92580160,92641068,92671530,92830081,93037261,93168481,93301777,93748953,94147446,94206697,94671206,94741846,95008221,95080848,95166502,95343327,95415313,95547543,95786936,95788081,95792313,95820685,96242094,96345057,96354253,96393087,96412822,96430633,96548617,96895857,96943705,97113656,97272735,97355113,97422942,97444713,97449432,97471352,97541197,97689591,97754182,98111197,98215921,98248116,98498041,98684185,98710777,98790260,98808205,98849632,98880066,98975262,99017257,99636097,99873937,...,2611275864027771383669928577371253425170375512622890821975175503979557105175467900680592828488917270881748694695211887674094635074056094704419066537659272069271117385524392478538876909400478410903641539167966977627634926576420407307381461032507387368182028739024446092086227159757798679546443956817477905999391769915015864250357086977557447267757128381601276344760805720756944623687702894930677382231498458512660441462695219805007598689511164393710438944710037077976563816169057901271328684729170916843555775421483980809004827337052876974316114241182061494825382680507919118142196847060027000707532354276383333831998894983436677927821649381343135374210700666274180463180079444474228590144129315053997807065910507138759620844145235499239815432102193300613230566908024068005712781955000186344913126540137135837678603841231780447234526634347799940190029712069499189819522844413864273858730048387751689860739601147061568960553979493927337344156448051464013416008223972659659762894150701047511471860611223310512032116460836968912545434272978133774800257607337078224489808823708609400645576704734587619606717327073977047560040148121608064039079389468485446809743627945212779268945355978079481888047087949020695736657875133404240832477308632658844005539516216494994685877550209990723216719449201332698866673444331754676214768950392982661108283523469917178153286394958271888433834084916304357506692838036134335184683930429618256827378444642860496705962476348668768912394283272064189662640978236455392631422923891893846633595977033628385953278741911366475480530849869761910955494575622191156760846273264032829731550344271850695553220000111377188096091342728750914775540650276107622058715032411469924810929761488064824567962833648628440884489294526111028208927704109655525056195950524543138618161801823306387669060123235860575320236473113852072582764180521160617173344508815633045327550226114970576639018142999405155768743914269904822023761666393590141736107362168485890087345816365673166967654235008258019222413779062889757750164158305160677101129288672609394607900272002799190009091931402519575902085616447360047780988626337576473928684605363196296415269609575497304423894087285645477626532947344825946351797484147437944553808959696453621508421140727763775656151084030902877868597094216830134715555114650596106654232313785339080029262832852154679143169426974494818080006876696579278078705785578914834212866824210514425606184612845106774}
15264   861927589175963673433547323871784468351612141636281361052244407: {76295,91554,350543,472223,563399,715199,883514,1078703,1158316,1561583,1922399,2072776,2331873,2371799,2461463,2610743,2617324,2700794,2730023,2878943,3062522,3176183,3423674,3502223,3708556,3768263,3776296,3964322,4071724,4160793,4210223,4248333,4434604,4591799,4679663,4738199,4953325,4991176,5255385,5399714,5467199,5554343,5605744,5615073,5867785,5902199,5943990,6248903,6306462,6340256,6421823,6565703,6623745,6910199,7041342,7065328,7132788,7173928,7709543,7948494,7965143,8050199,8070669,8382550,8407276,8545713,8626216,8771834,8896799,9233423,9299522,9401303,9704493,9819743,10059060,10129945,10208663,10455326,10568399,10729664,11036783,11397314,11557293,11764936,11823609,11939399,11988556,12070872,12155934,12292583,12346799,12428063,12438434,12617399,12689089,12784322,12871885,13201809,13209928,13235553,13302074,13424399,13477943,13579731,13768396,13878503,14038223,14075725,14162114,14436263,14471350,14505122,14542103,14847554,14861169,14936180,15018554,15248233,15360122,15373096,15410399,15446262,15462743,16551074,16572616,16601164,16632023,16786703,16890870,17043863,17160829,17274623,17294733,17365620,17397434,17923416,18016928,18115199,18127270,18165863,18249256,18397353,18523328,18644193,18713644,18744122,18805345,18890385,18921983,18966856,19172423,19462233,19695743,19765996,19819823,20116204,20149744,20161576,20163843,20269044,20414522,20437223,20530413,20838744,20912834,21171503,21293183,21337400,21337713,21368109,21463199,21511703,21575234,21657023,21752724,21783190,21831496,22211404,22277101,22307399,22399994,22566414,22666199,22668462,22681773,23023199,23169325,23443587,23543543,23556169,23736136,23966399,24004575,24083399,24201794,24246863,24296236,24314145,24502943,24515470,24560433,24781199,25012199,25438225,25604880,25680364,25768823,25804702,25896100,25935088,25944985,25973663,26025676,26139828,26223143,26494199,26703153,26952122,27296296,27311872,27404044,27433823,27500399,27788063,27803190,28052399,28118303,28194145,28306993,28315583,28576875,28684045,28805490,28868474,28952776,28968503,29027234,29176974,29418564,29614223,29656736,29785199,29934383,30252743,30316199,30421799,30482000,30525870,30569303,30708333,30725856,30829804,30988583,31075320,31113743,31133982,31234754,31300943,31373545,31391354,31632143,31824430,32125103,32192044,32349503,32430863,32560928,32571873,32855903,33097199,33147008,33249145,33259322,33363828,33556463,33651670,33764145,33794399,33832974,33888364,33979561,34031183,34292250,34420854,34442783,34493114,34566588,34579199,34676399,34812143,34959735,35022100,35312903,35389463,35577484,35732399,36015088,36016199,36129873,36447863,36578400,36631044,36719656,36801263,36863860,36893783,36923596,37004543,37133399,37188136,37252749,37290384,37353383,37408199,37648254,37838522,37898303,38189316,38275463,38311199,38524943,38790503,38813684,39016960,39071783,39106799,39140385,39633914,39679943,39748823,39864286,39898974,40005983,40277350,40382004,40481745,40516974,40615823,40816799,40819322,40866863,41150700,41261474,41266636,41309613,41445623,41555522,41560199,41648929,41749744,41836653,41853023,41951682,41953345,42026520,42046799,42239423,42261964,42335303,42557903,42580154,42605399,43017122,43180528,43262783,43307714,43309199,43509503,43540199,43719976,43723703,43818717,43894080,43915084,43966583,44031674,44177423,44236632,44401583,44527857,44638703,44668199,44819350,44828288,45077783,45106799,45113128,45150263,45208103,45423863,45708743,45722903,46004423,46229246,46272328,46310399,46324154,46432945,46585199,46820352,46872556,46883783,46951103,46968462,47279835,47324399,47526604,47626343,47782199,47853196,47904142,48331223,48332820,48394103,48542230,48578094,48719522,49036199,49156684,49184973,49277399,49361063,49380840,49396799,49432463,49481836,49766211,49843223,49947263,50048713,50153399,50232863,50344014,50401823,50431824,50491617,50752269,50952023,50952385,50962823,51016703,51059663,51123496,51283103,51377783,51430103,51484322,51555008,51656493,51770399,51841463,51894074,51902063,52056369,52101983,52190903,52279113,52318199,52339885,52463399,52672896,52717516,52795199,52915943,52962023,53115554,53180423,53234303,53296799,53323463,53403023,53603399,53629223,53682604,53783220,53791103,53833223,53835945,54066001,54283343,54323063,54571336,54580199,54612145,54679103,54858143,54894863,54941433,54989399,55005181,55046903,55075463,55110983,55132199,55258274,55285324,55326743,55340399,55428383,55448120,55521623,55523522,55541399,55552345,55553445,55606799,55703399,55719534,55722503,55872743,55940063,55994423,56118743,56184122,56188199,56256503,56356799,56373263,56445873,56447354,56475863,56533943,56633128,56705348,56722199,56735802,56795399,56922623,56948980,57078863,57121703,57170269,57257399,57292473,57361943,57368768,57380663,57425008,57446399,57492263,57513933,57517036,57547816,57560183,57609023,57621743,57727583,57754874,57778199,57805199,57810503,57818399,57836543,57849263,57881399,57900503,57967583,57999384,58004776,58040399,58070183,58099199,58103783,58156823,58198583,58231799,58235543,58238399,58239143,58240199,58242145,58242383,58243943,58244399,58245023,58245743,58247303,58250676,58917928,59102476,59200105,59257008,59498470,59816954,59874745,59933350,60365644,60453794,60707522,60732813,61042233,61142862,61392753,61423816,61495825,61624204,62002633,62373009,62379135,62592122,62807862,63190924,63695176,63712269,64176513,64355889,64539864,64603134,64671745,64741293,64810874,65061484,65249307,65255373,65534574,65661122,65684696,66023354,66041780,66117121,66264122,66282669,66537744,66662814,66664134,67696634,67836745,68205325,68319505,68338776,68994541,69078796,69101793,69329785,69574394,69890574,69998956,70390173,70470856,70958522,71034945,71040126,71398164,71657073,71849694,71920020,71995885,72054164,72434594,72440044,72492328,72607347,72669325,73553474,73775522,73794990,73837096,73895283,73956364,73996994,74155921,74251617,74260875,74854962,74894313,74972401,75129385,75748034,75770608,75980793,76466545,76667596,76714688,76881123,76906718,77037122,77568122,77606094,77883009,78017350,78095522,78578830,78714656,79057996,79080397,79211600,79250136,79279713,79346594,79449914,79808785,79964354,80220345,80246284,81007640,81068548,81134476,81404094,81486074,81510445,81553869,81635656,81686522,81846390,81983406,82521928,82602609,83066733,83122413,83195742,83659322,83797825,83813569,84076396,84697822,84953356,84974449,85241934,85268253,85287433,85535350,85568368,85827724,85836328,86074593,86304024,86395062,86409196,86493428,86748945,86788514,87199953,87203190,87302816,87715113,87887522,87970575,88068674,88553988,88575190,88723564,88787522,88881069,89111737,89113050,89136328,89156403,89476513,89935994,90110522,90155262,90371234,90447244,90453325,90733516,90758305,90787886,90802874,91133595,91401122,91759854,91840113,91875724,92203336,92402193,92532208,92837169,93016736,93030009,93297004,93513928,93620820,93649497,93723554,93732136,93835280,94046114,94126394,94294596,94345400,94428844,94432345,94453030,94690945,94822216,95053920,95235194,95475496,95514445,95701754,95770542,95784409,96117964,96264414,96363309,96391874,96513385,96565869,96576145,96619322,96749686,96780328,97092027,97144994,97209168,97723574,97812534,97859553,98032753,98215668,98432385,98563630,98679674,98733256,98964794,99042550,99317954,99667514,99742156,99862208,...,3916913796041657075504892866056880137755563268934336232962763255969335657763201851020889242733375906322623042042817831511141952611084142056628599806488908103906676078286588717808315364100717616355462308751950466441452389864630610961072191548761081052273043108536669138129340739636698019319665935226216858999087654872523796375535630466336170901635692572401914517141208581135416935531554342396016073347247687768990662194042829707511398034266746590565658417065055616964845724253586851906993027093756375265333663132225971213507241005579315461474171361773092242238074020761878677213295270590040501061298531414575000747998342475155016891732474072014703061316050999411270694770119166711342885216193972580996710598865760708139431266217853248859723148153289950919845850362036102008569172932500279517369689810205703756517905761847670670851789951521699910285044568104248784729284266620796410788095072581627534791109401720592353440830969240891006016234672077196020124012335958989489644341226051571267207790916834965768048174691255453368818151409467200662200386411005617336734713235562914100968365057101881429410075990610965571340060222182412096058619084202728170214615441917819168903418033967119222832070631923531043604986812700106361248715962948988266008309274324742492028816325314986084825079173801999048300010166497632014322153425589473991662425285204875767229929592437407832650751127374456536260039257054201502777025895644427385241067666964290745058943714523003153368591424908096284493961467354683088947134385837840769950393965550442578929918112867049713220796274804642866433241863433286735141269409896049244597325516407776043329830000167065782144137014093126372163310975414161433088072548617204887216394642232097236851944250472942661326733941789166542313391556164483287584293925786814707927242702734959581503590184853790862980354709670778108874146270781740925760016763223449567991325339172455864958527214499107733653115871404857233035642499590385212604161043252728835131018724548509750451481352512387028833620668594334636625246237457741015651693933008914091911850408004198785013637897103779363853128424671040071671482939506364710893026908044794444622904414363245956635841130928468216439799421017238919527696226221156916830713439544680432262631711091645663484226626046354316802895641325245202073332671975894159981348470678008620043894249278232018714754140461742227120010315044868917118058678368372251319300236315771638409276919267660161}
15265   865795254931246476872530881116735294156857102689323071262994098: {30526,122072,137331,1325271,1447895,1737474,1813679,2179463,2590970,3109164,3271655,3304259,3688322,3762551,3925986,4051191,4367279,4593783,4635695,4720370,4905026,5089655,5135511,5496947,5543255,5547724,5562834,5664444,5946483,6107586,6182162,6193319,6238970,6277187,6367394,6651906,6732986,7007180,7486764,7547939,7925320,8019359,8099571,8384567,8408616,8831660,8915985,8967410,9105746,9388456,9459693,9510384,9836642,10194503,10294319,10472111,10509095,10562013,10597992,10699182,10760892,10782770,11192819,11394284,11558687,11653031,11922741,12573825,12610914,12939324,13157751,13412080,13451459,13572707,13949283,14501039,14706170,14985695,15003962,15031811,15088590,15299351,15409724,15582671,15682989,15748919,15764812,15968099,16094496,16099586,16207912,16308527,16512410,16595999,17024627,17095971,17210495,17602412,17631026,17641379,17647404,17722034,17982834,18106308,18233901,18657651,18670225,18945671,19102559,19176483,19216370,19310303,19720514,19814892,19953111,20284511,20595016,20652594,20715770,20751455,20769119,21044951,21243171,21707025,21757683,22127459,22239191,22271331,22404270,22521160,22527831,22693202,22811570,23038679,23040183,23059644,23154160,23169393,23392055,23708570,23884259,23897888,24288002,24529804,24707495,24826611,24858924,24901746,25145255,25187180,25201970,25333679,25336305,25751063,25949644,26048430,26096151,26370674,26671750,26885124,27025392,27058163,27190905,27289370,27373884,27377786,27764255,27784992,27919607,28052567,28070466,28116183,28450284,28490812,28665314,28692143,29003632,29643263,29648994,29670170,30010343,30088552,30174306,30224616,30242364,30370295,30403566,30465122,30621783,30777587,31258116,31348727,31369251,31513202,31974503,32006100,32100455,32129699,32362851,32370125,32418860,32532095,32539619,32629086,32646239,32674785,32747244,32847266,33317106,33599991,33849621,34002693,34120370,34139840,34255055,34309343,34327634,34853104,35074871,35082554,35604204,35864291,36128954,36190970,36302691,36444354,36531026,36773205,36871043,37025906,37070920,37396463,37584119,37635554,37659386,37782962,38102500,38254979,38407320,38520546,38537255,38707053,38844150,38902632,38942111,39038514,39209742,39224752,39473987,39767303,39781274,39799463,39897587,40240055,40277879,40428183,40488287,40701160,40936754,40944444,40967808,41106066,41399762,41433760,41511976,41704785,42360455,42586007,43208235,43302711,43429164,43540851,43578722,43765461,43777625,44127846,44280527,44471855,44472506,44485104,44664323,44733059,45018860,45110632,45516959,45723000,45788805,45894472,45899570,46079825,46088784,46154495,46244706,46485170,46612980,46645391,46700973,46712051,46763186,46852131,47087031,47552711,47736645,47749919,47817794,48173164,48288066,48313283,48517105,48771200,48841392,49544951,49553987,49670332,49720512,49852727,49888983,49961402,50045742,50165522,50197672,50246882,50354339,50476019,50477505,50749461,50754179,50832546,50919088,51438375,51553187,51583295,51631281,51739671,51849882,52187180,52395551,52411043,52533150,52827455,52968863,53198632,53366226,53682074,53745839,53842672,53975660,54022632,54031091,54305159,54334643,54649970,54867600,54893855,54946566,55070951,55075682,55079484,55095074,55199351,55295790,55385394,55502834,55733279,55782204,55935576,56035360,56097722,56211107,56391410,56472381,56757783,57283974,57474109,57840410,58220526,58424956,58501274,58525440,58572791,58590695,58982176,59357474,59370476,59408255,59450871,59476259,59508506,59796429,59816495,59844467,59848461,59864039,60098819,60416025,60573006,60775461,60786791,61228983,61329266,61445855,61547042,61661999,61726050,61852295,61864919,61892211,61899954,62333283,62427136,62624616,62698943,62927523,63039780,63286322,63392946,63430787,63855983,63870231,63904370,64191674,64443760,64525683,64607459,64770792,64961571,64972514,65338967,65490386,65579964,65670503,65841120,65872626,65896895,65902034,66047511,66299282,66354948,66462551,66738722,67103255,67125352,67229025,67242432,67322156,67378343,67669692,67816346,67923059,68214170,68875324,68936639,69106655,69310150,69343869,69408492,69486231,69705484,70230528,70308834,70335794,70452693,70592423,70603523,70791410,70881685,70959599,71186225,71250071,71289906,71395682,71431199,71710960,71719106,71779794,71781260,71856213,71896295,71934770,72148271,72206687,72499230,72505970,72813345,72867141,72945443,73079283,73255244,73379759,73647410,73735026,73878095,74032751,74071260,74222754,74292712,74384519,74870051,74872322,75106787,75261164,75457055,75516021,75647736,75835322,75866834,76389964,76496279,76557623,76685244,76779770,76926914,77030255,77101466,77226483,77332512,77418263,77667568,77841111,77956754,77994287,78372143,78647042,78781847,78920231,78938354,78988655,79009344,79073471,79076274,79106819,79618970,79673331,80523906,80674830,80677919,80772143,80965682,80977084,81170063,81326855,81389644,81523816,81824687,81857004,82015619,82105870,82552225,82887411,82927986,82969439,83042063,83164012,83172180,83285283,83541059,83579301,83589986,83743816,84235199,84276183,84462383,84537791,84671031,84682787,84747443,84949692,85007603,85058022,85103703,85160762,85423470,85568684,85807852,86053152,86137512,86275554,86321724,86348495,86391599,86632311,86999076,87007164,87139187,87376014,87379432,87498695,87557063,88088570,88376892,88653714,88659386,88669394,88716992,88788637,88883752,88885512,89247705,89388119,89725431,89900025,89917367,90067705,90078179,90151091,90392594,90548466,90550055,90615410,90680691,90681914,90972986,91061283,91118368,91490819,91714293,91870226,92135724,92223923,92296370,92436306,92445455,92499794,93061919,93187432,93196994,93316943,93853564,93888183,93931439,94211793,94282787,94713260,94720168,94750322,94786386,94879583,95197552,95408402,95542764,95678642,95702711,95799592,95800967,95834495,95893360,96555794,96572711,96809796,96870983,96904701,97089071,97216311,97592226,97667759,97953434,98141399,98301861,98393320,98491683,98527044,98777786,98782007,98822495,99002156,99014500,99035031,99062670,99103034,99396183,99692282,99773063,99806616,99859084,99994221,99996201,...,5222551728055542767339857154742506850340751025245781643950351007959114210350935801361185656977834541763497389390423775348189270148112189408838133075318544138542234771048784957077753818800956821807283078335933955255269853152840814614762922065014774736364057478048892184172454319515597359092887913634955811998783539830031728500714173955114894535514256763202552689521611441513889247375405789861354764462996917025320882925390439610015197379022328787420877889420074155953127632338115802542657369458341833687111550842967961618009654674105753948632228482364122989650765361015838236284393694120054001415064708552766667663997789966873355855643298762686270748421401332548360926360158888948457180288258630107995614131821014277519241688290470998479630864204386601226461133816048136011425563910000372689826253080274271675357207682463560894469053268695599880380059424138998379639045688827728547717460096775503379721479202294123137921107958987854674688312896102928026832016447945319319525788301402095022943721222446621024064232921673937825090868545956267549600515214674156448979617647417218801291153409469175239213434654147954095120080296243216128078158778936970893619487255890425558537890711956158963776094175898041391473315750266808481664954617265317688011079032432989989371755100419981446433438898402665397733346888663509352429537900785965322216567046939834356306572789916543776867668169832608715013385676072268670369367860859236513654756889285720993411924952697337537824788566544128379325281956472910785262845847783787693267191954067256771906557483822732950961061699739523821910989151244382313521692546528065659463100688543701391106440000222754376192182685457501829551081300552215244117430064822939849621859522976129649135925667297256881768978589052222056417855408219311050112391901049086277236323603646612775338120246471721150640472946227704145165528361042321234346689017631266090655100452229941153278036285998810311537487828539809644047523332787180283472214724336971780174691632731346333935308470016516038444827558125779515500328316610321354202258577345218789215800544005598380018183862805039151804171232894720095561977252675152947857369210726392592830539219150994608847788174571290955253065894689651892703594968294875889107617919392907243016842281455527551312302168061805755737194188433660269431110229301192213308464627570678160058525665704309358286338853948989636160013753393158556157411571157829668425733648421028851212369225690213548}
15266   869680137490216406230785419305924840231801230157942821023927002: {45789,106813,152590,183108,701086,944446,1018333,1109089,1126798,1199773,1430398,1767028,1922653,2157406,2316632,2606211,2909089,3123166,3844798,3886455,4145552,4240189,4663746,4743598,4922926,5031073,5221486,5234648,5401588,5460046,5532483,5642173,5757886,5888979,5902993,6125044,6352366,6509053,6847348,6934655,7004446,7080555,7197373,7357539,7368733,7417112,7536526,7552592,7928644,8143448,8214899,8321586,8344251,8420446,8496666,8758975,8869208,8982289,9161379,9183598,9273243,9358455,9359326,9476398,9551091,9821089,9906650,9977859,9982352,10099479,10320913,10510770,10652689,10799428,10934398,11039575,11108686,11211488,11230146,11394973,11735570,11804398,11887980,11968273,12375613,12497806,12612924,12619153,12680512,12843646,13131406,13184893,13247490,13451115,13658619,13820398,14082684,14130656,14181923,14242855,14265576,14347856,14754963,15176593,15419086,15491089,15804433,15882589,15896988,15930286,16048773,16100398,16141338,16174155,16765100,16814552,17091426,17252432,17353873,17543668,17793598,18020639,18193789,18466846,18599044,18802606,18916371,19262155,19408986,19639486,19706015,20118120,20144413,20259890,20275123,20417326,20910652,21136798,21174589,21459328,21611773,21829393,22003015,22059255,22073566,22505943,22632885,22693393,22794628,23050333,23114586,23529872,23647218,23688289,23878798,23977112,24110353,24141744,24149379,24311868,24585166,24693598,24768615,24856126,24876868,25015933,25234798,25378178,25568644,25743770,26327483,26403618,26419856,26446539,26471106,26520733,26583051,26604148,26723233,26848798,26955886,26974251,27159462,27460189,27526753,27536792,27757006,28076446,28151450,28324228,28777789,28824555,28872526,28942700,29010244,29084206,29580771,29682973,29695108,29722338,29747089,29872360,30037108,30320893,30496466,30637153,30662255,30720244,30746192,30820798,30892524,30925486,30978891,31073655,31264273,31321939,31483975,31575133,31945789,32437055,33102148,33145232,33202328,33264046,33402493,33453719,33573406,33606405,33700753,33760189,33781740,33819553,34039803,34056289,34087726,34115293,34217355,34321658,34409233,34549246,34589466,34731240,34794868,35222689,35452513,35562855,35613515,35738173,35846832,36033856,36230398,36254540,36322979,36331726,36432003,36498512,36794706,37046656,37288386,37352619,37427288,37488244,37610690,37780770,37796113,37802955,37843966,37933712,38335393,38344846,38761633,38867473,38924466,39072645,39130813,39391486,39471803,39531992,39548413,39556011,39600289,39639646,39858589,40007625,40157663,40232408,40299488,40323152,40327686,40523575,40538088,40622689,40829044,40874446,40934055,41060826,41066679,41567293,41677488,41825668,42105699,42343006,42581089,42586366,42674800,42675426,42736218,42926398,42997971,43023406,43099453,43150468,43314046,43332193,43505448,43566380,43662992,43746589,43922963,44422808,44473491,44505255,44554202,44614798,44799988,44823133,45132828,45259453,45261459,45332398,45336924,45363546,45605349,45697683,45731089,46046398,46152289,46338650,46548803,46607293,46887174,46973089,47087086,47112338,47269803,47333053,47472272,47530513,47569789,47628125,47932798,48009150,48166798,48403588,48493726,48528289,48592472,48628290,48943629,49005886,49030940,49081789,49120866,49270899,49298653,49562398,49975659,50024398,50174353,50310289,50842513,50876450,50972689,51180555,51209760,51293089,51324733,51360728,51450589,51491451,51537646,51609404,51792200,51870176,51882013,51889970,51947326,52051352,52181533,52279656,52328593,52446286,52473853,52623831,52988398,53307613,53406306,53440273,53492833,53622973,53827453,53904244,54002593,54193431,54222589,54286455,54318493,54342289,54592592,54623744,54666531,54796539,54808088,54867646,55000798,55001053,55150993,55338589,55538859,55576126,55606380,55810333,55847773,56012689,56101789,56104798,56206333,56236606,56257633,56273575,56388290,56453331,56489079,56583073,56598589,56613986,56631166,56674443,56675089,56690173,56808253,57043873,57083293,57096289,57147553,57153750,57234493,57270673,57368090,57397789,57606589,57610980,57736948,57780819,57794833,57858193,57905552,57930913,57937006,58054468,58054753,58081213,58086289,58172689,58205089,58238353,58246813,58255633,58266225,58353948,58557771,58734683,58814613,58837128,59148479,59228446,59313472,59570398,59671911,59868766,60216455,60426707,60505486,60632398,60843598,60964000,61051740,61138606,61405131,61416666,61451712,61659099,61659608,61977166,62087915,62099643,62150640,62227486,62267964,62469508,62601886,62747090,62782708,63264286,63648860,63896183,64250206,64384088,64699006,64861726,65006123,65121856,65143746,65233975,65368083,65711806,66191769,66194398,66294016,66498290,66518644,66708759,66727656,67112926,67303340,67469575,67528290,67588798,67665948,67776728,67959122,68062366,68584500,68841708,68849355,68885566,68986228,69133176,69158398,69352798,69367059,69624286,69727755,69919470,70044200,70144779,70625806,70778926,71154968,71333339,71464798,71726691,72030176,72032398,72259746,72432099,72895726,73031195,73156800,73262088,73275839,73439312,73602526,73727720,73787566,73847192,74009086,74213095,74266798,74376272,74505498,74580768,74706766,74816398,74942103,75068613,75248283,75296508,75370323,75677044,75796606,76248819,76378632,76457003,76550926,76622398,77049886,77581006,77627368,77773283,77774823,78033920,78143566,78213598,78280770,78799725,79267828,79359886,79497646,79728572,79797948,80011966,80049339,80523111,80554700,80764008,80963490,81033948,81231646,81539003,81633598,81638644,81733726,81974955,82301400,82419849,82522948,82533272,82613523,82619226,82642611,82880147,82891246,82943685,83078091,83111044,83120398,83254251,83297858,83499488,83673306,83706046,83824643,83903364,83906690,84053040,84093598,84146583,84152695,84478846,84523928,84587115,84670606,85115806,85160308,85210798,85925961,86034244,86094155,86361056,86525566,86615428,86618398,86760615,87019006,87080398,87131855,87330789,87439952,87447406,87637434,87751911,87788160,87830168,87933166,88063348,88354846,88473264,88803166,89036211,89055714,89262759,89277406,89336398,89638700,89656576,89726575,90155566,90213598,90226256,90300526,90416206,90540443,90847726,90859509,91417486,91445806,91569055,91993899,92008846,92320563,92458492,92544656,92589075,92620798,92648308,92849931,92865890,93170398,93458651,93640704,93745112,93767566,93902206,93936924,94076455,94559670,94648798,94929483,94971443,95053208,95089419,95252686,95487455,95564398,95647307,95706392,95808284,95856555,96287511,96662446,96665640,96788206,97061699,97084460,97156188,97439044,97458771,98072398,98235579,98313368,98369946,98554798,98722126,98761680,98793598,98808939,98853051,98864926,98963672,99448923,99532422,99686446,99894526,...,7833827592083314151009785732113760275511126537868672465925526511938671315526403702041778485466751812645246084085635663022283905222168284113257199612977816207813352156573177435616630728201435232710924617503900932882904779729261221922144383097522162104546086217073338276258681479273396038639331870452433717998175309745047592751071260932672341803271385144803829034282417162270833871063108684792032146694495375537981324388085659415022796068533493181131316834130111233929691448507173703813986054187512750530667326264451942427014482011158630922948342723546184484476148041523757354426590541180081002122597062829150001495996684950310033783464948144029406122632101998822541389540238333422685770432387945161993421197731521416278862532435706497719446296306579901839691700724072204017138345865000559034739379620411407513035811523695341341703579903043399820570089136208497569458568533241592821576190145163255069582218803441184706881661938481782012032469344154392040248024671917978979288682452103142534415581833669931536096349382510906737636302818934401324400772822011234673469426471125828201936730114203762858820151981221931142680120444364824192117238168405456340429230883835638337806836067934238445664141263847062087209973625400212722497431925897976532016618548649484984057632650629972169650158347603998096600020332995264028644306851178947983324850570409751534459859184874815665301502254748913072520078514108403005554051791288854770482135333928581490117887429046006306737182849816192568987922934709366177894268771675681539900787931100885157859836225734099426441592549609285732866483726866573470282538819792098489194651032815552086659660000334131564288274028186252744326621950828322866176145097234409774432789284464194473703888500945885322653467883578333084626783112328966575168587851573629415854485405469919163007180369707581725960709419341556217748292541563481851520033526446899135982650678344911729917054428998215467306231742809714466071284999180770425208322086505457670262037449097019500902962705024774057667241337188669273250492474915482031303387866017828183823700816008397570027275794207558727706256849342080143342965879012729421786053816089588889245808828726491913271682261856936432879598842034477839055392452442313833661426879089360864525263422183291326968453252092708633605791282650490404146665343951788319962696941356017240087788498556464037429508280923484454240020630089737834236117356736744502638600472631543276818553838535320322}
15267   873582312881600303084942403159479668995163587094884482656968495: {61052,228885,244144,274662,1051629,1416669,1690197,2027053,2145597,2208785,2575729,2650542,2895790,3236109,3474948,3627358,3853949,4358926,4402337,4580317,4684749,4857413,5181940,5767197,5953757,6218328,6489973,6543310,6608518,6751985,6995619,7115397,7125517,7319377,7376644,7384389,7525102,7656305,7760557,7832229,7851972,8102382,8190069,8559185,8636829,8734558,8962813,9187566,9271390,9440740,9528549,9810052,9910805,10179310,10271022,10506669,10993894,11086510,11095448,11125668,11304789,11328888,11892966,12048049,12215172,12364324,12386638,12477940,12482379,12554374,12630669,12734788,12744999,13227877,13303812,13465972,13499285,13775397,13852949,14014360,14038989,14214597,14712733,14859975,14973528,15095878,15766155,15850640,16038718,16199142,16401597,16663029,16769134,16817232,16845219,17433253,17601733,17603355,17663320,17706597,17830373,17831970,17934820,18211492,18746709,18776912,18919386,19020768,19265469,19673284,19697109,19871235,20252269,20389006,20588638,20730597,20799217,20944222,20956375,20979973,21018190,21124026,21195984,21398364,21521784,21565540,21929585,22385638,22788568,22938593,23117374,23128629,23248805,23306062,23845482,23895429,24094693,24150597,24162517,24212007,24760373,24777509,25147650,25221828,25637139,25878648,26010833,26138315,26315502,26690397,26824160,26902918,27145414,27700269,27898566,28203909,28493285,28702949,28942349,29002078,29052037,29078177,29113479,29412340,29459229,29686613,29971390,30007924,30063622,30177180,30389835,30598702,30625989,30819448,31096085,31165342,31352869,31365978,31497838,31529624,31705197,31936198,31960805,31977829,32188992,32199172,32415824,32617054,32748877,32970929,33024820,33110349,33191998,33255185,33517157,34049254,34191942,34420990,34590493,34671879,35203357,35204824,35262052,35282758,35294808,35405285,35444068,35466769,35470827,35818197,35965668,36178375,36212616,36262805,36467802,36486973,36877749,37040397,37118885,37252157,37284189,37315302,37340450,37546385,37788049,37852197,37891342,38067267,38205118,38250833,38352966,38400305,38432740,38615655,38620606,38869957,39099569,39325469,39441028,39479693,39605427,39629784,39706659,39906222,40273197,40433829,40569022,40739193,41190032,41305188,41377685,41431540,41502910,41538238,41635509,42041453,42089902,42114669,42227175,42486342,42518413,42587249,42820637,43308789,43414050,43493585,43515366,43574869,43626309,44254918,44336273,44341457,44478382,44542662,44583507,44808540,44940637,45016453,45042320,45055662,45318175,45386404,45522973,45544933,45623140,45744699,46077358,46080366,46119288,46231197,46308320,46338786,46388229,46784110,46860305,46951493,47035729,47417140,47602157,47768518,47795776,47957077,48576004,49059608,49414990,49653222,49717848,49803492,49896069,50290510,50360109,50374360,50403940,50412497,50552213,50667358,50672610,51036305,51131589,51482487,51502126,51823869,51884199,51899288,52092293,52096860,52192302,52282085,52733669,52741348,52785109,53343500,53770248,53938085,53952157,54050784,54116326,54345597,54381810,54457975,54497589,54578740,54747768,54755572,55192059,55234913,55528510,55569984,55839214,55932579,55999985,56105134,56140932,56232366,56336077,56416035,56671155,56765949,56900568,56981624,57330628,57384286,57391493,57517269,57910757,58007264,58386699,58828253,59049437,59087229,59286526,59297988,59304637,59340340,59459469,59482337,59653477,59996273,60020686,60177104,60348612,60449232,60484728,60491529,60504485,60740590,60807132,60930244,60982993,61243566,61288675,61311669,61555174,61591239,61873093,62260597,62516232,62697454,62738502,63026404,63292973,63408893,63514509,63615893,63879549,63949006,64012200,64013139,64104327,64200910,64213669,64259398,64389597,64511755,64535109,64616293,64725702,64740250,64837720,64971069,65064190,65079238,65258172,65292478,65349570,65494488,65694532,66127829,66561269,66634212,66831303,66922197,66970909,67199982,67380305,67699242,67923947,67998597,68005386,68045319,68240740,68279680,68510110,68618686,68655268,69069597,69507975,69706208,70149742,70165108,70330761,70630629,70668507,71025877,71208408,71506913,71728582,71899197,72013725,72171185,72183749,72216613,72250197,72257908,72381940,72568085,72605382,72740589,72888708,72942435,73062052,73508829,73546410,73681299,73742086,73958437,74051812,74141840,74343597,74500817,74792926,75036597,75168238,75271108,75318772,75565924,76163869,76205000,76314675,76509958,76814640,76851397,77041092,77074510,77306469,77414106,77613013,77688300,77805264,77834955,77884222,77920989,78077028,78086885,78403757,78419484,78449504,78478385,78669429,78947974,78982493,79482597,79534606,79561075,79562548,79598926,79795174,80035453,80109459,80233277,80480110,80555758,80579809,80856366,80976574,81402320,81628349,81873508,81888888,81935616,82026973,82212132,82301469,82501197,82568453,82799524,82867520,83023952,83148305,83171557,83364189,83409570,83427409,83743093,84129175,84157197,84354909,84582435,84720910,84920979,84946749,85172014,85671797,85730625,86024197,86052135,86232785,86416470,86593213,86605422,86858328,86905509,87081702,87157444,87530922,87555250,87559057,87908977,88255692,88561054,88842669,88943710,88945012,88970208,89328646,89355597,89396897,89466118,89803149,90022613,90037720,90060773,90221264,90439889,90758229,90879773,90948597,91033918,91265397,91446000,91577610,91707909,91788944,91799140,92105393,92124999,92159650,92177568,92255653,92308990,92489412,92965749,92970340,93225960,93290782,93341229,93401946,93424102,93489877,93526372,93704262,93902829,93944557,94120635,94174062,94596305,94717733,94896429,95105422,95332613,95461133,95473290,95499838,95635588,96346328,96375309,96574973,96576132,96626566,96749317,96799037,97034210,97048509,97119437,97292589,97542400,97682784,97715619,97868989,98567709,99084785,99089902,99107974,99234359,99291597,99340664,99354893,99441024,99660715,99705454,99747435,99777966,99922804,...,11750741388124971226514678598170640413266689806803008698888289767908006973289605553062667728200127718967869126128453494533425857833252426169885799419466724311720028234859766153424946092302152849066386926255851399324357169593891832883216574646283243156819129325610007414388022218910094057958997805678650576997262964617571389126606891399008512704907077717205743551423625743406250806594663027188048220041743063306971986582128489122534194102800239771696975251195166850894537172760760555720979081281269125796000989396677913640521723016737946384422514085319276726714222062285636031639885811770121503183895594243725002243995027425465050675197422216044109183948152998233812084310357500134028655648581917742990131796597282124418293798653559746579169444459869852759537551086108306025707518797500838552109069430617111269553717285543012012555369854565099730855133704312746354187852799862389232364285217744882604373328205161777060322492907722673018048704016231588060372037007876968468933023678154713801623372750504897304144524073766360106454454228401601986601159233016852010204139706688742302905095171305644288230227971832896714020180666547236288175857252608184510643846325753457506710254101901357668496211895770593130814960438100319083746147888846964798024927822974227476086448975944958254475237521405997144900030499492896042966460276768421974987275855614627301689788777312223497952253382123369608780117771162604508331077686933282155723203000892872235176831143569009460105774274724288853481884402064049266841403157513522309851181896651327736789754338601149139662388824413928599299725590299860205423808229688147733791976549223328129989490000501197346432411042279379116489932926242484299264217645851614661649183926696291710555832751418827983980201825367499626940174668493449862752881777360444123781728108204878744510770554561372588941064129012334326622438812345222777280050289670348703973976017517367594875581643497323200959347614214571699106927498771155637812483129758186505393056173645529251354444057537161086500862005783003909875738712373223046955081799026742275735551224012596355040913691311338091559385274013120215014448818519094132679080724134383333868713243089737869907523392785404649319398263051716758583088678663470750492140318634041296787895133274936990452679878139062950408686923975735606219998015927682479944045412034025860131682747834696056144262421385226681360030945134606751354176035105116753957900708947314915227830757802980483}
15268   877501857467183759654826245668084647732915984314672026394850098: {76315,91578,213626,305180,366216,411993,624307,1402172,1622227,1888892,1982947,2036666,2072947,2218178,2253596,2399546,2521867,2860796,2879707,3534056,3769267,3845306,3975813,4314812,4343685,4633264,4651627,4739467,5212422,5441037,5787931,5818178,5961667,6246332,6477425,6538389,7512331,7683187,7689596,7772910,8291104,8363731,8480378,8786731,9220805,9327492,9375907,9459787,9487196,9708517,9814965,9845852,9878107,9912777,10062146,10442972,10460731,10469296,10803176,10920092,11064966,11284346,11287653,11515772,11777958,11800925,11805986,11860987,12153573,12250088,12262565,12350227,12674947,12704732,13018106,13101837,13481707,13561987,13694696,13781349,13869310,13907085,14008892,14161110,14394746,14519731,14715078,14737466,14834224,15073052,15073627,15105184,15268965,15406533,15455405,15467107,15597425,15702331,15857288,15918485,16286896,16429798,16490841,16629765,16636747,16643172,16688502,16714147,16832465,16840892,16993332,17100067,17517950,17637331,17738416,17839449,17964578,18171067,18322758,18367196,18546486,18579957,18716910,18718652,18831561,18927427,18952796,19002667,19102182,19527331,19642178,19751107,19813300,19899931,19939997,19955718,19964704,20198958,20492347,20641826,20786827,21021540,21305378,21372331,21517987,21598856,21868796,22079150,22097731,22217372,22418525,22422976,22460292,22643817,22764365,22789946,23471140,23608796,23775960,23936546,23961509,24058077,24298713,24370627,24591605,24751226,24788587,24995612,25065787,25153701,25225848,25238306,25361024,25410667,25687292,25753747,26262812,26369786,26494980,26747955,26839507,26902230,26956925,26967017,26973931,27317238,27442147,27588421,27640796,28104907,28165368,28261312,28363846,28379079,28485710,28531152,28695712,29473267,29509926,29922331,30353186,30367867,30431227,30583509,30804221,30838172,30882957,30982178,31372987,31416333,31497331,31527285,31608866,31683307,31686039,31765178,31793976,31860572,32097546,32200796,32282676,32348310,32724931,33027331,33147787,33507427,33530200,33578457,33629104,33923731,34182852,34218931,34336507,34504864,34676061,34687507,34707746,34803931,34959093,35006873,35087336,35587196,35768223,36041278,36234931,36387578,36765425,36794731,36933692,37016837,37182307,37198088,37509905,37605212,37721475,37832742,37892731,38323867,38524310,38817972,39119827,39278972,39412030,39473253,39485731,39744931,40002331,40104787,40236240,40248965,40288826,40354377,40519780,40550246,40718121,40834652,40864027,40914067,41113507,41281025,41821304,41847849,42273596,42349178,42572587,42918656,42927157,42950731,43223546,43416931,43503117,43555387,43658786,43738987,44006030,44077565,44118510,44147132,44305085,44461867,44683987,44957085,44991931,45011886,45095433,45122827,45265770,45386786,45411877,45589256,45725107,45898053,46100666,46229172,46561027,46748013,46765507,47048967,47059744,47088931,47246757,47294436,47376578,47757596,47877331,47904297,47954224,47954587,48040925,48220706,48283488,48298758,48623736,48925581,49170332,49295947,49301285,49387196,49537230,49545931,49712252,49753736,49787997,49858921,50031866,50469596,50676907,50756356,50971747,51004147,51073881,51137288,51165067,51287913,51387331,51450187,51487540,51631485,51789425,51790747,51851731,52299931,52503547,52646827,52654966,52807236,52839712,52893078,52924137,52942212,53041466,53166102,53201947,53208296,53362867,53396453,53446466,53625307,53697596,53728267,53804731,53911772,53948502,54104107,54297931,54318924,54603067,54701703,54918067,54920378,54940027,55053506,55073584,55091731,55260787,55364107,55514012,55565347,55643827,55701931,55759387,55972953,56010675,56018947,56152892,56302900,56381827,56414731,56495731,56543467,56648456,56733005,56837013,56873731,57028925,57039187,57143731,57206731,57307677,57327331,57529449,57555578,57649110,57737731,57745052,57838387,57846307,57885400,57930909,58014787,58020488,58044667,58078147,58113931,58168412,58186147,58196731,58244467,58269307,58274707,59161542,59271425,59365946,59390216,59444676,59494178,59744720,59859333,60074216,60641786,60720005,60853533,60992932,61274306,61324510,61440488,61492384,61641596,61785048,61850972,61957782,62147310,62254365,62307357,62528546,62643878,62967950,63004925,63134853,63150266,63729513,63891578,64874110,65121075,65273049,65448317,65926685,66204296,66290464,66382377,66404656,66528092,66679375,66717573,66804986,66813993,66907438,67146812,67212810,67401506,67520378,67563480,67583493,67639106,68079606,68112578,68175452,68223425,68230586,68434710,68444465,68643316,68818466,69098492,69116037,69120549,69178932,69462480,69508179,69589736,70176165,70445378,70905026,71125710,71227030,71413381,71476346,71652777,71663285,71693664,72067712,72460796,72509080,72645958,72663452,72864006,72997024,73589412,74093312,74122485,74175425,74479833,74576772,74705238,74761121,74854576,74976488,75221380,75435765,75561540,75592226,75605910,75687932,75867424,76001037,76008915,76162805,76670786,76689692,77253189,77523266,77734946,77848932,78145290,78261626,78288453,78782972,78783005,78943606,79063984,79096826,79112022,79200578,79279292,79717178,80015250,80315326,80464816,80598976,80646304,80655372,81047150,81076176,81174489,81245378,81572715,81658088,81748892,81868110,82118165,82121652,82133358,83134586,83292765,83354976,83651336,83758821,84157701,84211398,84303037,84348549,84686012,85162178,85172732,85300925,85349600,85350852,85472436,85819085,85852796,85995942,86046812,86076429,86198906,86300936,86436713,86628092,86664386,86923081,87010896,87132760,87325984,87493178,87706385,87845926,88845616,88929789,88946982,89010510,89108404,89229596,89599976,89646266,90031029,90265656,90322385,90477425,90518906,90522918,90664796,90673848,90727092,91110885,91210698,91327565,91395366,91462178,91865349,92092796,92304578,92332761,92564765,92677300,93097606,93214586,93774348,93946178,94046181,94088885,94107753,94148465,94174172,94224676,94457405,94539606,94666106,94944544,95061026,95139578,95256250,95865596,95923509,96018300,96301365,96333596,96389097,96807176,96987452,97056578,97088553,97110375,97184944,97256580,97432709,97596285,97618857,97887258,97938717,98011772,98024355,98061880,98163578,98241732,98541798,98597306,99124796,99453185,99951318,...,15667655184166628302019571464227520551022253075737344931851053023877342631052807404083556970933503625290492168171271326044567810444336568226514399225955632415626704313146354871233261456402870465421849235007801865765809559458522443844288766195044324209092172434146676552517362958546792077278663740904867435996350619490095185502142521865344683606542770289607658068564834324541667742126217369584064293388990751075962648776171318830045592137066986362262633668260222467859382897014347407627972108375025501061334652528903884854028964022317261845896685447092368968952296083047514708853181082360162004245194125658300002991993369900620067566929896288058812245264203997645082779080476666845371540864775890323986842395463042832557725064871412995438892592613159803679383401448144408034276691730001118069478759240822815026071623047390682683407159806086799641140178272416995138917137066483185643152380290326510139164437606882369413763323876963564024064938688308784080496049343835957958577364904206285068831163667339863072192698765021813475272605637868802648801545644022469346938852942251656403873460228407525717640303962443862285360240888729648384234476336810912680858461767671276675613672135868476891328282527694124174419947250800425444994863851795953064033237097298969968115265301259944339300316695207996193200040665990528057288613702357895966649701140819503068919718369749631330603004509497826145040157028216806011108103582577709540964270667857162980235774858092012613474365699632385137975845869418732355788537543351363079801575862201770315719672451468198852883185099218571465732967453733146940565077639584196978389302065631104173319320000668263128576548056372505488653243901656645732352290194468819548865578568928388947407777001891770645306935767156666169253566224657933150337175703147258831708970810939838326014360739415163451921418838683112435496585083126963703040067052893798271965301356689823459834108857996430934612463485619428932142569998361540850416644173010915340524074898194039001805925410049548115334482674377338546500984949830964062606775732035656367647401632016795140054551588415117455412513698684160286685931758025458843572107632179177778491617657452983826543364523713872865759197684068955678110784904884627667322853758178721729050526844366582653936906504185417267211582565300980808293330687903576639925393882712034480175576997112928074859016561846968908480041260179475668472234713473489005277200945263086553637107677070640644}
15269   881438847943258485069535379440649037688849108317666052814993929: {15269,122104,137367,320439,381475,457770,488288,549324,1752715,2103258,2361115,2816995,2833338,2850067,3054999,3092299,3327267,3380394,3575995,3599319,4054106,4291194,4417570,4554667,4920259,5151458,5192407,5301084,5393515,5740579,5767959,5791580,6472218,6654199,6862867,6949896,7254716,7707898,7807915,7818633,8717852,8727267,8804674,9160634,9369498,9452779,9611995,9714826,9864151,10149739,10363880,10718827,11534394,11659365,11858995,11861047,11907514,11982859,12307315,12436656,12720567,12979946,13053715,13086620,13217036,13503970,13650115,13694299,13875127,13991238,14230794,14251034,14394715,14638754,14753288,14768778,15050204,15093219,15238579,15312610,15521114,15664458,15703944,15880915,16176787,16204764,16371667,16380138,16430119,16597449,16926519,17118370,17273658,17469116,17511115,17666937,17708979,17925626,18071611,18163651,18375132,18520267,18542780,18841315,18881480,18898999,19057098,19527159,19620104,19821610,20358620,20377339,20542044,20608759,20708059,20803965,21013338,21051115,21072259,21138007,21241665,21592119,21987788,22072617,22106199,22173020,22190896,22251336,22609578,22657776,22787347,22958995,23342419,23398315,23690995,23785932,24096098,24430344,24644697,24728648,24766625,24773276,24955880,24964758,25032753,25092727,25108748,25261338,25469576,25475467,25489998,25529347,25637251,26079427,26276925,26455754,26525899,26607624,26931944,26946867,26998570,27335995,27484137,27550794,27705898,27722167,27771715,27819729,28028720,28075365,28077978,28429194,28653273,29070931,29082019,29262259,29338925,29425466,29463267,29481139,29510995,29719950,29933577,29947056,30018307,30191756,30298437,30701419,30962739,31244515,31532310,31701280,31958067,32077436,32109115,32398284,32499139,32548327,32637187,32803194,32828515,33118725,33122659,33326058,33538268,33634464,33674467,33690438,33797419,33921667,34184919,34550995,34579267,34733851,34866506,35084179,35203466,35206710,35326640,35413194,35660746,35663940,35869640,35904819,36422984,36593641,37126839,37257079,37493418,37532407,37553824,37838772,37857459,37948459,38041536,38530938,38547715,38764267,39346568,39394218,39554679,39742470,39810067,39825715,39827947,39890599,40250995,40353345,40504538,40778012,40975857,41177276,41461194,41598434,41647267,41796091,41888444,41912750,41959946,42036380,42248052,42391968,42545769,42728565,42750931,42796728,43043568,43131080,43466587,43534519,43859170,44264889,44342131,44483995,44745127,44771276,45214219,45529779,45577136,45867139,45877186,46167115,46234748,46257258,46473267,46497610,46522579,46557259,46612124,46657819,47006515,47393947,47413299,47647767,47690964,47790858,47829091,47858359,48146319,48189386,48297079,48301194,48325034,48424014,48522465,48903067,49067611,49098715,49520746,49555018,49558099,49567399,50189527,50295300,50443656,50489527,50649725,50767927,50924299,51043315,51133687,51274278,51757296,51966439,51976219,52021666,52061619,52276630,52564939,52631004,52841995,53380794,53648320,53760427,53794099,53805836,54061917,54290828,54521251,54581367,55183915,55242211,55400538,55797132,56343379,56407818,56544547,56546167,56749113,56986570,57405898,57786465,57884698,57928759,57929299,58004156,58104074,58156354,58226958,58824680,58918458,59057239,59118045,59373226,59696995,59942780,59975467,60015848,60114967,60127244,60175987,60354360,60433239,60779670,60825369,60872131,60891019,60997819,61197404,61251978,61349527,61462915,61563619,61638896,61733995,62030551,62140315,62192170,62330684,62705738,62731956,62995676,63059248,63086995,63378619,63410394,63417271,63445445,63523767,63624451,63872396,63921610,63955658,64133947,64359425,64377984,64398344,64831648,64835319,65195059,65208211,65234108,65488179,65497754,65558347,65604427,65941858,66009045,66049640,66177765,66220698,66335827,66383996,66480259,66510370,66820267,67034314,67121995,67389715,67517829,67898655,68080179,68098508,68383884,68517259,68672899,68841980,69150999,69180986,69343758,69392515,69524299,70191115,70294807,70378625,70406714,70409648,70524104,70525591,70565516,70589616,70810570,70888136,70933538,70941654,71064867,71268979,71450827,71636394,71779387,71931336,71978167,72015859,72181315,72331059,72356750,72425232,72448137,72525610,72710515,72935604,72973946,72998539,73194547,73194919,73755498,74080794,74237770,74305845,74504314,74568378,74630604,74680900,75035587,75047799,75092770,75182419,75513319,75576098,75704394,75782684,76134534,76241165,76410236,76501666,76705932,76800610,76865480,77051995,77231310,77241212,77313715,77739914,77870551,78181651,78199138,78399979,78630907,78650938,78882056,78959386,78982449,79094539,79128247,79210854,79259568,79339617,79400371,79413318,79490419,79562199,79749153,79756567,79812444,79919491,80169699,80454667,80546394,80867658,80922753,81012151,81138044,81478386,82380064,82380567,82580259,82610376,82755370,82863080,83005820,83076476,83152579,83160115,83265619,83271018,83933515,84082906,84179804,84229338,84454350,84457747,84706279,84766147,84972684,85036826,85174498,85219315,85308067,85641274,85804145,86333367,86373115,86473665,86617578,86828100,86987170,87030732,87149738,87252618,87273139,87580867,88274551,88509836,88672546,88682914,88742313,88956764,89048919,89085324,89167014,89241267,89617080,89881274,90032906,90084640,90111324,90316457,90575995,90632167,90636350,90772808,90829315,90962679,91045946,91089866,91246280,91489398,91805239,91911459,91986765,92154716,92160732,92238576,92462394,92616640,92677572,92776458,92915287,92936673,93074227,93220965,93341707,93568220,93720610,93792819,93902986,93965817,94026725,94071458,94332427,94347739,94451925,94609915,94725399,94834280,95204314,95367499,95537036,95591552,95837367,95862115,95914154,96469867,96598339,96812059,96897427,97114531,97114939,97152008,97311165,97580899,98119216,98150179,98478715,98537239,98564227,98829980,98830579,99056599,99099115,99306444,99435696,99606984,99676951,99696019,99792138,99914179,...,23501482776249942453029357196341280826533379613606017397776579535816013946579211106125335456400255437935738252256906989066851715666504852339771598838933448623440056469719532306849892184604305698132773852511702798648714339187783665766433149292566486313638258651220014828776044437820188115917995611357301153994525929235142778253213782798017025409814155434411487102847251486812501613189326054376096440083486126613943973164256978245068388205600479543393950502390333701789074345521521111441958162562538251592001978793355827281043446033475892768845028170638553453428444124571272063279771623540243006367791188487450004487990054850930101350394844432088218367896305996467624168620715000268057311297163835485980263593194564248836587597307119493158338888919739705519075102172216612051415037595001677104218138861234222539107434571086024025110739709130199461710267408625492708375705599724778464728570435489765208746656410323554120644985815445346036097408032463176120744074015753936937866047356309427603246745501009794608289048147532720212908908456803203973202318466033704020408279413377484605810190342611288576460455943665793428040361333094472576351714505216369021287692651506915013420508203802715336992423791541186261629920876200638167492295777693929596049855645948454952172897951889916508950475042811994289800060998985792085932920553536843949974551711229254603379577554624446995904506764246739217560235542325209016662155373866564311446406001785744470353662287138018920211548549448577706963768804128098533682806315027044619702363793302655473579508677202298279324777648827857198599451180599720410847616459376295467583953098446656259978980001002394692864822084558758232979865852484968598528435291703229323298367853392583421111665502837655967960403650734999253880349336986899725505763554720888247563456216409757489021541109122745177882128258024668653244877624690445554560100579340697407947952035034735189751163286994646401918695228429143398213854997542311275624966259516373010786112347291058502708888115074322173001724011566007819751477424746446093910163598053484551471102448025192710081827382622676183118770548026240430028897637038188265358161448268766667737426486179475739815046785570809298638796526103433517166177357326941500984280637268082593575790266549873980905359756278125900817373847951471212439996031855364959888090824068051720263365495669392112288524842770453362720061890269213502708352070210233507915801417894629830455661515605960966}
15270   885393361342075911096672111601364324429685247454592296673022597: {106841,152630,167849,183156,427252,441989,563621,610360,654761,686655,732432,806501,823986,1079129,1248614,1260521,1471781,1652549,1983209,2103209,2253029,2462441,2701289,2804344,2909861,2969381,3154887,3244454,3592409,3777784,3858341,3965894,4073332,4145894,4250007,4436356,4507192,4681541,4799092,4944809,5043734,5070591,5178281,5556581,5643689,5701721,5721592,5759414,5962469,6081159,6222569,6436791,6510809,6568361,6626355,6654629,6769541,7068112,7199321,7239475,7256489,7370729,7427801,7538534,7690612,7712681,7727187,7951626,8053481,8195141,8393129,8618921,8629624,8687370,8816069,8984741,9040901,9068395,9237209,9266528,9303254,9377189,9405161,9478934,9708327,9879461,10323749,10424844,10462169,10572761,10655621,10882074,10897315,10903769,11561847,11575862,11636356,11698949,11862629,11889881,11923334,12107609,12379049,12433241,12492664,12676709,12703721,12909127,12954850,13076778,13207011,13322789,13563881,13740951,13831001,13964261,14054247,14521769,14548229,14572239,14917829,15024662,15102041,15366374,15379192,15495461,15545820,15547781,15808901,16358275,16406441,16521295,16582208,16716521,16727462,16960756,17051141,17167591,17301591,17358821,17573462,17639849,17861271,18199001,18249641,18441610,18654984,18751814,18812755,18919574,18974392,19005401,19417034,19469919,19629930,19691704,19756214,19778789,19825554,19902809,20124292,20255955,20298329,20421509,20519909,20789849,20885944,20921462,20938592,20986857,21253829,21346191,21375449,21376551,21606352,21618089,21637567,21666521,21836395,21840184,21884069,21958131,22125029,22129932,22153167,22285879,22317221,22556741,22568692,22575306,22968915,22985861,23031544,23178475,23281671,23459621,23496687,23555916,23565451,23601850,23611972,23624681,23721974,24047321,24257669,24307146,24500176,24525130,24570207,24700454,25069529,25092581,25276709,25349894,25409464,25448275,25677555,25757609,25780421,25910487,26036212,26203674,26234981,26302889,26573801,26663849,26865989,26888439,26963414,27123974,27134501,27389392,27468521,27484735,27512921,27562698,27645929,27716275,27738620,27778649,27814170,28017784,28131161,28318147,28322220,28328549,28585647,28789492,28830041,28981829,29039462,29154821,29430156,29474932,29477801,29499269,29668448,29692121,29732415,29798981,29948249,30146104,30147254,30210368,30330281,30372569,30537930,30583529,30646661,30688709,30813066,30910810,30934214,30966595,31065701,31194850,31315589,31377881,31385935,31404662,31520007,31714576,31836970,31870111,32242409,32425829,32507141,32573792,32859596,32981682,33112901,33259530,33273221,33273494,33286344,33377004,33428294,33512741,33532649,33664930,33681784,33810521,33869861,33914367,33986664,34200134,34224389,34244009,34428247,34459301,34595801,34828889,34886981,35035900,35099369,35234021,35272421,35274662,35463941,35476832,35502149,35673689,35678898,35844581,35929156,36127961,36144147,36342134,36521669,36645516,36734392,36819269,36985769,37092972,37159914,37426601,37433820,37437304,37447137,37663122,37739695,37808549,37854854,37892007,37905592,37917029,38005334,38204364,38234997,38294441,38348069,38809829,38880389,39054662,39143849,39284356,39492329,39502214,39509669,39626600,39683631,39751589,39768809,39799862,39871961,39879994,39906281,39911436,39929408,40026149,40096795,40128581,40397916,40417241,40497855,40770629,40837541,40887641,40937669,40984694,41120489,41283652,41326191,41371759,41417561,41516009,41558847,41573654,41777129,41858309,41922835,41955461,42043080,42116741,42116967,42309221,42595781,42610756,42627461,42643791,42738089,42744662,42958169,43035974,43197712,43331801,43424489,43609001,43737592,43747171,43761881,43838021,43944281,44138199,44158300,44170661,44195462,44434744,44469701,44484569,44579925,44837050,44845952,44920584,45174341,45217769,45275561,45287634,45491141,45528730,45579892,45605381,45747461,45789929,45874649,46071209,46168901,46196741,46335461,46500869,46569449,46787561,46942280,47057321,47150981,47217592,47298465,47551920,47873092,47886149,47923018,47976281,48116154,48345509,48571301,48597426,48741254,48757481,48843749,48978521,49100201,49183210,49204791,49317209,49341161,49424741,49460441,49502452,49519781,49577174,49696601,49989087,49991224,50131574,50159321,50216261,50307402,50329541,50352101,50451696,50476612,50535657,50653529,50722048,50821334,50972515,50992421,51014021,51121541,51175001,51185669,51344729,51365801,51374584,51407849,51470681,51471595,51507494,51657449,51749861,51872069,51902441,51962969,52202201,52221929,52261289,52299759,52360555,52407749,52513867,52514009,52523621,52525624,52545475,52657349,52739572,52805199,52810065,52826981,52855001,52989960,53058281,53119791,53239721,53293529,53355941,53382569,53435609,53462021,53479589,53491119,53495910,53644889,53662121,53679014,53739269,53747801,53804460,53824229,53849561,53866409,53913850,53934034,53947862,54041381,54074309,54115289,54309209,54317189,54341081,54356969,54380741,54428069,54482921,54634476,54690821,54736229,54848489,54884294,54892889,54951641,55067609,55103429,55110569,55131941,55167401,55176842,55209689,55281592,55375961,55577321,55713989,55758761,55834601,55903109,55964095,55976741,56037221,56067161,56209814,56240127,56242601,56265449,56293829,56316389,56330736,56348551,56394341,56410841,56427269,56432729,56508329,56513669,56522624,56587589,56608421,56727692,56758158,56819429,56886629,56891369,56971420,56984489,57062304,57069989,57078967,57118169,57144041,57161129,57173861,57182309,57236441,57344549,57367781,57391424,57398309,57479621,57601001,57633881,57640361,57662789,57727721,57763241,57777701,57793435,57796407,57836249,57860261,57868121,57886181,57891269,57923561,57938009,57984089,58010201,58016549,58066649,58083461,58113449,58147301,58185641,58194629,58202021,58212569,58222469,58234661,58245701,58265155,58268261,58269509,58279301,58281989,58285481,58290521,58291109,58293029,58946534,59019852,59091327,59613705,59844662,60706372,60735734,60756807,60862454,61167018,61608442,61676344,61708591,61765914,61964356,62027119,62191791,62397651,62745974,62832666,62869125,62939919,62994662,63054570,63104899,63217732,63366614,63372078,63530356,63587952,63721144,64195092,64401592,64565352,64696620,65449862,65788755,66054662,66295574,67014854,67060400,67156914,67257295,67258208,67847462,67863535,68365704,68437862,68673014,68815779,69009728,69021799,69352122,69375014,69385887,69415492,69607862,69746415,69918186,70013746,70174672,71174392,71536446,71686287,72082556,72284079,72451791,72469862,72487551,72505195,72636021,72775156,73148119,73530850,73589462,73867384,74033674,74281119,74332527,74364614,74396176,74928475,75019810,75159055,75210424,75442950,75665484,75785462,76496755,76647734,76911417,77048620,77348011,77635944,77913355,78032499,78239654,78414945,78557944,78744595,78824060,78946506,78971462,79426207,79489862,79840495,80004662,80071191,80209574,80472480,80497930,80577652,80708754,81039560,81100492,81436242,81542635,81669304,81728054,81828134,82227014,82562050,82979995,83100807,83556547,83642608,83695698,84547192,84611727,84698356,85008007,85123135,85145174,85479855,85837312,85854314,85901462,86052475,86108847,86447092,86827047,86833862,87006234,87110774,87156111,87234531,87317572,87340437,87477974,88012060,88155130,88206895,88237020,88294264,88377687,88610170,88923734,89059839,89367974,89914170,89983862,90023772,90190866,90245654,90531540,90773572,90823754,91169505,91178512,91450214,91796106,91877967,92201332,92297359,92458344,93122054,93288255,93351125,93496026,93531014,94058607,94097934,94119488,94177862,94493514,94588872,94728355,94753156,95115591,95512795,95515192,95754662,95808594,95822251,95882415,95908448,95909174,95933487,96081850,96441412,96551515,96566976,96597516,97247472,97851162,98246631,98340664,98591894,98602570,98774392,98912787,99074460,99091862,99331047,99424504,99507472,99575994,99717842,99765555,...,35252224164374913679544035794511921239800069420409026096664869303724020919868816659188003184600383156903607378385360483600277573499757278509657398258400172935160084704579298460274838276906458547199160778767554197973071508781675498649649723938849729470457387976830022243164066656730282173876993417035951730991788893852714167379820674197025538114721233151617230654270877230218752419783989081564144660125229189920915959746385467367602582308400719315090925753585500552683611518282281667162937243843807377388002968190033740921565169050213839153267542255957830180142666186856908094919657435310364509551686782731175006731985082276395152025592266648132327551844458994701436252931072500402085966945745753228970395389791846373254881395960679239737508333379609558278612653258324918077122556392502515656327208291851333808661151856629036037666109563695299192565401112938239062563558399587167697092855653234647813119984615485331180967478723168019054146112048694764181116111023630905406799071034464141404870118251514691912433572221299080319363362685204805959803477699050556030612419120066226908715285513916932864690683915498690142060541999641708864527571757824553531931538977260372520130762305704073005488635687311779392444881314300957251238443666540894394074783468922682428259346927834874763425712564217991434700091498478688128899380830305265924961827566843881905069366331936670493856760146370108826340353313487813524993233060799846467169609002678616705530493430707028380317322824172866560445653206192147800524209472540566929553545689953983210369263015803447418987166473241785797899176770899580616271424689064443201375929647669984389968470001503592039297233126838137349469798778727452897792652937554843984947551780088875131667498254256483951940605476102498880820524005480349588258645332081332371345184324614636233532311663684117766823192387037002979867316437035668331840150869011046111921928052552102784626744930491969602878042842643715097320782496313466913437449389274559516179168520936587754063332172611483259502586017349011729627216137119669140865245397080226827206653672037789065122741073934014274678155822039360645043346455557282398037242172403150001606139729269213609722570178356213947958194789155150275749266035990412251476420955902123890363685399824810971358039634417188851226060771927206818659994047783047439832136236102077580395048243504088168432787264155680044080092835403820254062528105315350261873702126841944745683492273408941449}
15271   889365475033307064017071648079084121850288521861810156358544317: {15271,30538,228945,244208,274734,534065,640878,762950,915540,976576,1098648,1235979,1872921,2453801,3185369,3305561,3368261,3505430,3943793,4206516,4722230,4866681,5006393,5091665,5499113,5545445,5633990,5666676,5700134,5948841,5998865,6109998,6136481,6184598,6218841,6654534,6760788,7151990,7197641,7198638,7550921,7565601,8108212,8110661,8582388,8639121,8835140,9109334,9571493,9613265,9840518,10198529,10302916,10384814,10602168,10787030,10849721,10931081,11197241,11307801,11481158,11535918,11583160,11657633,11927439,12195161,12944436,13031055,13308398,13456793,13725734,13899792,13954881,14017601,14218401,14509432,14545445,15305393,15415796,15615830,15637266,15755141,16323111,16602593,17031353,17230241,17297993,17363793,17435704,17454534,17609348,17885001,18275201,18321268,18738996,18905558,18953153,19110161,19118021,19223990,19317929,19429652,19432275,19615167,19728302,20152601,20299478,20727760,21200945,21307361,21437654,21466133,22136201,22233281,22536993,22774673,23047781,23049561,23068788,23120009,23318730,23717990,23722094,23815028,23965718,24515561,24614630,24873312,24952241,24981281,25091193,25155365,25441134,25959892,26107430,26173240,26360193,26377841,26410193,26434072,26774681,26930501,27007940,27300230,27388598,27662415,27750254,27982476,28127721,28210865,28379361,28461588,28502068,28789430,29125551,29277508,29444895,29471561,29506576,29514965,29537556,29634321,29646593,29655041,29738331,30100408,30186438,30477158,30625220,30821141,31042228,31328916,31382193,31407888,31514321,31761830,32142593,32353574,32409528,32503433,32545265,32743334,32757641,32760276,32762561,32860238,32968529,33167393,33194898,33853038,33862959,34236740,34245461,34547316,34673275,34938232,35022230,35333874,35402775,35417958,35476181,35582961,35851252,35986865,36143222,36327302,36460719,36750264,36787695,36843665,37040534,37050681,37085560,37129289,37636169,37682630,37762960,37797998,37863089,37953473,38024841,38114196,38270393,38571221,38880401,39054318,39240208,39305511,39643220,40445121,40685961,40717240,40754678,40949861,41074495,41084088,41217518,41315393,41344047,41416118,41607930,41721255,41817161,42026676,42102230,42144518,42276014,42483330,43184238,43324769,43559193,43678841,43742321,43794875,43975576,44145234,44168441,44212398,44346040,44356481,44381792,44502672,44911445,44952761,45219156,45220193,45220881,45315552,45574694,45653201,45806895,45917990,45959921,46219599,46366215,46379621,46401321,46684838,46792275,46796630,47048261,47106993,47381990,47400209,47571864,47755455,48192196,48332441,48371393,48860688,49105445,49289394,49415141,49457296,49472523,49533250,49546552,49889295,49910241,49911760,49929516,50065506,50142441,50185454,50217496,50497395,50522676,50939152,50950934,50979996,51058694,51127649,51263273,51274502,51300201,51461153,51462521,51604565,52158854,52553850,52911508,52911993,53051798,53215248,53263445,53518347,53863888,53893734,53966801,53997140,54326693,54356489,54493601,54513201,54656369,54671990,54968274,55101588,55197875,55319561,55411796,55444334,55543430,55639458,55739871,55756001,56057440,56150730,56155956,56351393,56369429,56494683,56782281,56858388,56915393,56974865,56982521,57008001,57306546,57664241,57936953,58141862,58164038,58524518,58581993,58677850,58850932,58926534,58962278,59021990,59253321,59439900,59669441,59699793,59819991,59841365,59867154,59894112,60036614,60383512,60430721,60596874,61081361,61402838,61477041,61508261,61878065,61925478,62277593,62360481,62489030,63064620,63095765,63111401,63220901,63386993,63402560,63916134,64116993,64154872,64218230,64553961,64633961,64796568,64998278,65070209,65096654,65203673,65274374,65567009,65606388,65657030,65809121,65924465,66083489,66237450,66245318,66293193,66652116,66814649,67076536,67255575,67268928,67348934,67380876,67405061,67575749,67594838,67843334,67931451,67949993,68174033,68293095,68369838,68738201,69026681,69101990,69158534,69467702,69571721,69705329,69733012,70168358,70406932,70413420,70621001,70653280,70826388,70909615,70987793,71044961,71214275,71321492,71327880,71460641,71570609,71739280,71809638,71884527,72174231,72845968,72896139,72916289,73111881,73187282,73200761,73308833,73408961,73774815,73978793,74005721,74253678,74365761,74514158,74986836,75064814,75107648,75192533,75197361,75361121,75461103,75677544,75714918,75882965,75896918,76083072,76184081,76232001,76578113,77061876,77095430,77257481,77261241,77455445,77528534,77737061,78008393,78032921,78693136,78788436,79022165,79055189,79109358,79412945,79484940,79620134,79651430,79655894,79781198,80243865,80488313,80501990,80518521,80706690,80870775,80901051,80921793,81009076,81556024,81951714,82091909,82326441,82354552,82466561,82765263,82922388,83075681,83196868,83294534,83573489,83575793,83592182,83776888,83825500,83919892,83971721,84072760,84087881,84268721,84314721,84496104,84781961,84783936,84813689,85091538,85137237,85457130,85501862,85593456,86003609,86048081,86087136,86262160,86427593,86769365,86933174,86996441,87069038,87582293,87718340,88321793,88419801,88528121,88529778,88678421,88684262,88823623,88842233,88901081,88967990,89490254,89542552,89766993,90103195,90428438,90968945,91059558,91103601,91154272,91293681,91734278,91750527,91754372,91974689,92028833,92334230,92412663,92469496,92514516,92648871,92879993,92946534,92995220,93045158,93114518,93193001,93224248,93315638,93515201,93970793,94013030,94118961,94248999,94257761,94345601,94491993,94581855,94787894,94826598,94917281,95049921,95058117,95295534,95381928,95581716,95658182,95716718,95741633,96292638,96310775,96378772,96405461,96594158,96602388,96650068,96848028,97024901,97044930,97149521,97806134,97838081,97894961,98135222,98174793,98180393,98197430,98267561,98530075,99041492,99081993,99110036,99116198,99134798,99443361,99701333,99813701,...,47002965552499884906058714392682561653066759227212034795553159071632027893158422212250670912800510875871476504513813978133703431333009704679543197677866897246880112939439064613699784369208611396265547705023405597297428678375567331532866298585132972627276517302440029657552088875640376231835991222714602307989051858470285556506427565596034050819628310868822974205694502973625003226378652108752192880166972253227887946328513956490136776411200959086787901004780667403578148691043042222883916325125076503184003957586711654562086892066951785537690056341277106906856888249142544126559543247080486012735582376974900008975980109701860202700789688864176436735792611992935248337241430000536114622594327670971960527186389128497673175194614238986316677777839479411038150204344433224102830075190003354208436277722468445078214869142172048050221479418260398923420534817250985416751411199449556929457140870979530417493312820647108241289971630890692072194816064926352241488148031507873875732094712618855206493491002019589216578096295065440425817816913606407946404636932067408040816558826754969211620380685222577152920911887331586856080722666188945152703429010432738042575385303013830026841016407605430673984847583082372523259841752401276334984591555387859192099711291896909904345795903779833017900950085623988579600121997971584171865841107073687899949103422458509206759155109248893991809013528493478435120471084650418033324310747733128622892812003571488940707324574276037840423097098897155413927537608256197067365612630054089239404727586605310947159017354404596558649555297655714397198902361199440821695232918752590935167906196893312519957960002004789385729644169117516465959731704969937197056870583406458646596735706785166842223331005675311935920807301469998507760698673973799451011527109441776495126912432819514978043082218245490355764256516049337306489755249380891109120201158681394815895904070069470379502326573989292803837390456858286796427709995084622551249932519032746021572224694582117005417776230148644346003448023132015639502954849492892187820327196106969102942204896050385420163654765245352366237541096052480860057795274076376530716322896537533335474852972358951479630093571141618597277593052206867034332354714653883001968561274536165187151580533099747961810719512556251801634747695902942424879992063710729919776181648136103440526730991338784224577049685540906725440123780538427005416704140420467015831602835789259660911323031211921932}
15272   893355266725508729440570165701062362288021946832784405363651531: {45807,198367,213682,305260,335698,366312,412101,472471,854504,883978,961317,1109527,1127242,1144425,1200247,1220720,1309522,1373310,1464864,1613002,1647972,2158258,2283271,2497228,2521042,2731471,2943562,2999527,3177871,3305098,3622471,3966418,4206418,4506058,4924882,5208127,5258145,5402578,5608688,5819722,5938762,6252271,6309774,6488908,7083345,7184818,7555568,7716682,7931788,7969471,8146664,8291788,8450985,8500014,8550201,8872712,9014384,9070207,9164997,9276897,9363082,9406447,9598184,9889618,9981801,10087468,10135265,10141182,10325167,10356562,10727985,10739887,10797957,11043925,11113162,11152807,11287378,11403442,11443184,11518828,11727871,11891527,11924938,12162318,12299407,12445138,12695753,12705487,12873582,12878645,13021618,13136722,13252710,13309258,13539082,13664001,14136224,14152471,14398642,14478950,14512978,14550271,14741458,14760777,14855602,14946271,15077068,15256241,15381224,15425362,15454374,15577221,15889327,15903252,15967447,16106962,16180545,16390282,16786258,16899271,17221737,17237842,17259248,17303877,17374740,17632138,17969482,18081802,18136790,18474418,18533056,18606508,18754378,18810322,18957868,19269745,19408327,19416654,19758922,19962597,20449087,20588601,20647498,20849688,20924338,21145522,21183847,21256927,21311242,21621247,21764148,21794630,21807538,22011685,22901585,23123694,23129813,23151724,23272712,23397898,23423745,23455899,23725258,23769367,23779762,23846668,24215218,24287065,24610471,24758098,24866482,24957871,24985328,25096327,25353418,25407442,25784287,25818254,25909700,26153556,26181801,26337857,26414022,26645578,27127762,27138607,27481902,27539287,27662002,27804967,27928522,28108494,28358337,28529647,28835985,29043538,29096458,29144478,29180887,29503807,29592453,29760847,29768785,29835658,30049324,30204082,30449217,30570953,30714487,30732748,30758384,30990922,31091640,31095562,31334281,31617802,31651927,32156481,32449865,32451271,32716550,32812882,33042590,33164416,33433042,33454924,33466901,33537967,33657271,33759925,33776287,33835687,33921512,34102282,34131607,34249471,34335182,34603182,34717642,34978095,35146924,35279698,35412271,35576985,35583141,35627585,35722542,35948577,36398002,36499282,36546271,36596885,36883220,36921945,36991807,37309968,37377871,37503628,37625510,37814767,37839148,37948784,38010802,38161701,38281525,38300767,38478629,38802785,38834068,38886847,38939838,39161145,39259860,39383408,39512428,39516271,39557578,39620167,39651108,39672007,39775471,39805618,40248584,40511910,40596658,40643287,40843018,40950345,41039818,41082897,41441047,41539471,41579698,41625381,41771888,41784271,41842924,41877184,41881687,41973714,42376741,42507658,42692382,42750898,42753102,42795925,43184145,43212704,43236178,43275134,43333042,43353233,43354807,43672790,43680368,43768138,43916262,43940309,44250058,44259864,44268487,44306334,44492407,44571758,44634442,44670247,44814065,45113482,45137384,45150612,45240271,45279657,45715737,45798127,45882871,45937830,45971722,46063088,46177207,46218967,46356950,46509271,46563342,46919242,46993374,47111832,47130902,47203700,47223944,47249362,47443948,47595967,47642745,48094642,48100471,48367087,48406633,48515338,48530361,48592807,48614292,48778927,48852871,48893897,49000352,49050260,49115001,49140414,49218271,49290357,49400908,49554025,49792347,50031367,50139058,50185162,50339167,50553418,50699788,50779557,50818928,50839207,50896550,51099271,51195607,51354727,51355110,51515218,51560842,51820974,51942967,52072424,52271647,52407348,52469962,52533345,52534087,52605778,52835573,52958527,53000811,53126937,53147602,53327698,53366767,53499247,53731978,53758807,53776878,53926828,54214833,54247948,54256327,54269002,54328471,54376207,54399967,54490953,54778784,54937042,54969470,55025842,55079287,55122271,55125396,55186207,55228471,55291858,55374127,55432550,55476007,55477240,55557298,55560801,55628340,55865527,55921471,56013271,56035568,56135513,56138767,56262322,56328847,56445271,56523945,56526271,56636294,56636647,56644440,56657098,56696997,56728447,56904271,56946607,57135607,57171294,57381127,57415471,57449167,57493087,57578984,57657247,57660082,57676471,57741487,57852871,57952087,57963658,58078924,58129567,58134607,58201567,58209271,58249447,58300927,58304527,58306471,58307407,58309642,58581477,58691969,58860312,58949864,58955602,58998538,59336896,59384242,59464830,59597962,59896498,60240245,60292208,60294508,60420736,60660562,60745138,61075860,61132017,61167058,61293322,61377418,61626132,61821620,61826277,61868428,61933190,62124177,62131402,62389700,62411895,62631178,62755762,62771870,62809324,63040014,63153345,63216777,63414021,63429152,63673940,63724995,63740222,64484818,64776357,64851658,65014282,65147584,65719192,65963364,66139385,66217851,66225802,66318597,66519060,66546442,66546988,66572688,66754008,66856588,67025482,67065298,67329860,67363568,67456961,67496425,67621042,67739722,67828734,67973328,68362041,68400268,68448778,68488018,68856494,68876985,68918602,69191602,69264745,69657778,69773962,70027257,70071800,70194945,70198738,70468042,70544842,70549324,70927882,70953664,71004298,71072985,71347378,71357796,71361521,71689162,71858312,72060233,72255922,72288294,72684268,73043338,73291032,73304777,73468784,73563665,73638538,73934091,73971538,74185944,74299875,74319828,74578517,74853202,74867640,74874608,74894274,75098259,75278181,75326244,75479390,75617098,75709708,75784014,75811184,75834058,76010668,76408728,76426401,76469994,76588041,76588882,76696138,76911753,77619658,77760778,78109324,78238281,78287698,78349733,78568712,78830775,78984658,79004428,79019338,79253200,79367262,79503178,79537618,79577697,79599724,79743922,79759988,79812562,79822872,79858816,80052298,80193590,80257162,80795832,80834482,80840601,80910809,80995710,81541258,81571217,81675082,81775282,81875338,81969388,82007985,82240978,82452411,82567304,82652382,82743518,82835122,83032018,83117694,83147308,83166501,83315145,83459187,83554258,83716618,83845670,83910922,84086160,84226095,84233482,84233934,84618442,85191562,85221512,85254922,85287582,85476178,85489324,85916338,85959819,86071948,86395424,86447777,86663602,86848978,87166265,87212793,87218002,87246057,87475184,87494342,87523762,87676042,87786777,87888562,88008665,88016775,88276398,88316600,88341322,88389801,88390924,88443417,88532985,88869488,88939402,88969138,89151865,89159850,89674100,89691904,89800731,89841168,90054921,90348682,90435538,90551122,90575268,90895311,90982282,91057460,91159784,91210762,91494922,91579858,91749298,92104257,92142418,92337802,92393482,92670922,92888217,93001738,93138898,93386729,93575122,93733545,93884560,94114642,94160213,94301962,94435184,94596930,95008949,95103840,95746184,95772298,95846036,95874201,95952562,96232308,96327345,96691018,97142602,97194852,97482508,97497417,97514962,97644981,97687498,97911561,97957042,98200402,98366420,98409582,98485545,98634418,98682322,98849482,98920882,99004904,99039562,99154348,99356175,99367977,99393202,99978174,99982448,...,70504448328749827359088071589023842479600138840818052193329738607448041839737633318376006369200766313807214756770720967200555146999514557019314796516800345870320169409158596920549676553812917094398321557535108395946143017563350997299299447877699458940914775953660044486328133313460564347753986834071903461983577787705428334759641348394051076229442466303234461308541754460437504839567978163128289320250458379841831919492770934735205164616801438630181851507171001105367223036564563334325874487687614754776005936380067481843130338100427678306535084511915660360285332373713816189839314870620729019103373565462350013463970164552790304051184533296264655103688917989402872505862145000804171933891491506457940790779583692746509762791921358479475016666759219116557225306516649836154245112785005031312654416583702667617322303713258072075332219127390598385130802225876478125127116799174335394185711306469295626239969230970662361934957446336038108292224097389528362232222047261810813598142068928282809740236503029383824867144442598160638726725370409611919606955398101112061224838240132453817430571027833865729381367830997380284121083999283417729055143515649107063863077954520745040261524611408146010977271374623558784889762628601914502476887333081788788149566937845364856518693855669749526851425128435982869400182996957376257798761660610531849923655133687763810138732663873340987713520292740217652680706626975627049986466121599692934339218005357233411060986861414056760634645648345733120891306412384295601048418945081133859107091379907966420738526031606894837974332946483571595798353541799161232542849378128886402751859295339968779936940003007184078594466253676274698939597557454905795585305875109687969895103560177750263334996508512967903881210952204997761641048010960699176517290664162664742690368649229272467064623327368235533646384774074005959734632874071336663680301738022092223843856105104205569253489860983939205756085685287430194641564992626933826874898778549119032358337041873175508126664345222966519005172034698023459254432274239338281730490794160453654413307344075578130245482147868028549356311644078721290086692911114564796074484344806300003212279458538427219445140356712427895916389578310300551498532071980824502952841911804247780727370799649621942716079268834377702452121543854413637319988095566094879664272472204155160790096487008176336865574528311360088160185670807640508125056210630700523747404253683889491366984546817882898}
15273   897362814467595936972017614054117553306897867065692598348692164: {30542,61076,320523,381575,457890,488416,503547,549468,747691,1068130,1281756,1325967,1525900,1690863,1831080,1953152,1964283,2059965,2197296,2419503,2471958,3121535,3237387,3745842,3764527,3781563,4415343,4859327,4907602,4957647,5949627,5956103,6309627,6370738,6611122,6736522,6759087,7010860,7128331,7387323,7506911,7763623,7887586,8055083,8103867,8111135,8398411,8413032,8506303,8729583,8908143,9444460,9464661,9733362,9914735,10012786,10183330,10364735,10697551,10777227,10998226,11090890,11267980,11333352,11400268,11575023,11897682,11997730,12052807,12219996,12272962,12369196,12437682,12609335,12750021,13233103,13309068,13458571,13521576,14044623,14303980,14395282,14397276,14398535,14412463,14834427,14854367,15101842,15131202,15211773,15534843,16216424,16221322,16669743,16843871,16931067,17105163,17164776,17278242,17608687,17670280,17887407,18218668,18243477,18667707,18830207,18846335,19142986,19226530,19310373,19333051,19532427,19681036,19705083,19879065,19963887,20260267,20308623,20363623,20397058,20605832,20769628,20807431,21204336,21409103,21574060,21597963,21699442,21718425,21769467,21803771,21862162,22112187,22283403,22394482,22615602,22962316,23071836,23138043,23166320,23181561,23258135,23315266,23697335,23854878,24160443,24172063,24390322,24585423,25179387,25856763,25888872,26062110,26448207,26616796,26913586,26954223,27122703,27205185,27323647,27451468,27556031,27711627,27799584,27909762,28035202,28080763,28131567,28215483,28436802,28939655,29018864,29090890,29124981,29638383,29681323,29698427,29808335,30610786,30831592,30971247,31034567,31231660,31241207,31274532,31386507,31510282,31718283,31966863,32387125,32646222,32691945,32711307,33205186,34062706,34460482,34595986,34685541,34727586,34871408,34909068,35096847,35191127,35217511,35218696,35587887,35669643,35770002,36322827,36492527,36550402,36642536,36703487,37137147,37299723,37477992,37561655,37795943,37811116,37906306,38030127,38111163,38220322,38236042,38266031,38415935,38447980,38635858,38727381,38859304,38864550,38962807,39230334,39341063,39456604,39495211,39621033,39968367,40305202,40598956,40691643,41222853,41320951,41455520,41493003,41818655,41892783,42162741,42401890,42614722,42875308,42932266,43565307,43644687,43716717,43933655,44133671,44272402,44359103,44466562,44747287,44753487,45073986,45306123,45549346,45563371,45879311,46095562,46099122,46104025,46137576,46240018,46486383,46637460,46643343,46736827,46879535,46970111,47298935,47408447,47426703,47435980,47444188,47630056,47931436,48245087,48338827,48542585,49031122,49074825,49219323,49229260,49390535,49563885,49584287,49746624,49904482,49962562,50149563,50182386,50310730,50381611,50882268,51147371,51153423,51502773,51552047,51581131,51751127,51836047,51904773,51919784,52076463,52214860,52303655,52346480,52720386,52755682,52820386,52868144,52919547,53549362,53583813,53861002,53953783,54015880,54333871,54597003,54600460,54748923,54777196,55228687,55324830,55500508,55964952,56255442,56421730,56438265,56758722,56923176,57004136,57005687,57016203,57504293,57578860,57933803,58251102,58409757,58555016,58889790,58943122,59004625,59013152,59029930,59075112,59268642,59293186,59304935,59310082,59336367,59476662,59708427,59991383,60020111,60200816,60372876,60767865,60819343,60894987,60954316,61014071,61250440,61264527,61312825,61559727,61642282,61751135,62084456,62369547,62657471,62657832,62685227,62764386,62815776,62876023,62960571,63028642,63318071,63374735,63523660,63686347,63761487,64038573,64126347,64129653,64239487,64285186,64707148,64819056,64854267,64912701,64999563,65006866,65090530,65377663,65486668,65509185,65515282,65520552,65525122,65652207,65720476,65874393,65937058,66334786,66375087,66389796,66459501,66587663,66857637,66951663,67408535,67413967,67670223,67706076,67725918,67809935,67958971,68205143,68411387,68473480,68490922,68744527,68747623,68906745,68957583,69094632,69346550,69535425,69845013,69876464,70044460,70313771,70378863,70490061,70640971,70667748,70696353,70805550,70835916,70872127,70874043,70952362,71165922,71372927,71702504,71973730,72141963,72187063,72246391,72286444,72598655,72654604,72773007,72921438,73017911,73161407,73500528,73575390,73687330,73710621,74081068,74096507,74101362,74171120,74258578,74568823,75208587,75272338,75277743,75365260,75368135,75525920,75595996,75726178,75830127,75906946,76049682,76228392,76275371,76344825,76540786,77032665,77142442,77147467,77272827,77277025,77335535,77341263,77731461,77760802,77891627,77987125,78108636,78480416,78511655,78611022,78704943,78908667,78962767,79286440,79592425,79721403,79764811,79778171,79991547,80476103,80506271,80597967,80665317,80890242,81107471,81371922,81403503,81434480,81509356,81661547,81899722,82148990,82168176,82405563,82435036,82454205,82538763,82602047,82630786,82688094,82832236,82937787,83148825,83183735,83215860,83335947,83378567,83442510,83461183,83570735,83634322,83777911,84053352,84162325,84204460,84289036,84393483,84480671,84507271,84552028,84583447,84954441,84966660,84985647,85500335,85756941,86368476,86490123,86629291,86649538,86945487,87118386,87185851,87202807,87357682,87464463,87484642,87589750,87951152,88186655,88290468,88334071,88336882,88424796,88433403,88497807,88692080,88712962,88763584,89005344,89063143,89076363,89197245,89396943,89822890,89844747,89905522,90198907,90438312,90440386,90441762,90475823,90631104,90855335,90905263,90916391,90990843,91030907,91117707,91149388,91306402,91613790,91750587,91835980,91919842,91939983,92066127,92142047,92294251,92439198,92732430,92759242,92802642,92899785,93197103,93369676,93584550,93593260,93850747,93946767,94096522,94133643,94157805,94213986,94560021,94637135,94763980,94800418,95013335,95143728,95370491,95510910,95610333,95685887,96384392,96664882,96727227,96742786,96744647,97277487,97521423,97636655,97721376,98210890,98315471,98317771,98578788,98755535,98830282,98856911,98914592,98945046,99066500,99093104,99273461,99338703,99499655,99699985,99778590,99819663,99820482,99823520,99859032,...,105756672493124741038632107383535763719400208261227078289994607911172062759606449977564009553801149470710822135156081450800832720499271835528972194775200518805480254113737895380824514830719375641597482336302662593919214526345026495948949171816549188411372163930490066729492199970190846521630980251107855192975366681558142502139462022591076614344163699454851691962812631690656257259351967244692433980375687569762747879239156402102807746925202157945272777260756501658050834554846845001488811731531422132164008904570101222764695507150641517459802626767873490540427998560570724284758972305931093528655060348193525020195955246829185456076776799944396982655533376984104308758793217501206257900837237259686911186169375539119764644187882037719212525000138828674835837959774974754231367669177507546968981624875554001425983455569887108112998328691085897577696203338814717187690675198761503091278566959703943439359953846455993542902436169504057162438336146084292543348333070892716220397213103392424214610354754544075737300716663897240958090088055614417879410433097151668091837257360198680726145856541750798594072051746496070426181625998925126593582715273473660595794616931781117560392286917112219016465907061935338177334643942902871753715330999622683182224350406768047284778040783504624290277137692653974304100274495436064386698142490915797774885482700531645715208098995810011481570280439110326479021059940463440574979699182399539401508827008035850116591480292121085140951968472518599681336959618576443401572628417621700788660637069861949631107789047410342256961499419725357393697530312698741848814274067193329604127788943009953169905410004510776117891699380514412048409396336182358693377958812664531954842655340266625395002494762769451855821816428307496642461572016441048764775935996243997114035552973843908700596934991052353300469577161111008939601949311107004995520452607033138335765784157656308353880234791475908808634128527931145291962347488940400740312348167823678548537505562809763262189996517834449778507758052047035188881648411359007422595736191240680481619961016113367195368223221802042824034467466118081935130039366671847194111726517209450004818419187807640829167710535068641843874584367465450827247798107971236754429262867706371671091056199474432914074118903251566553678182315781620455979982143349142319496408708306232741185144730512264505298361792467040132240278506211460762187584315946050785621106380525834237050476820226824347}
15274   901388196650320791750885031877604434315678033208893527168008452: {45813,76345,91614,167893,396734,427364,610520,624553,671396,686835,715669,732624,824202,944942,1532473,1602195,1709008,1713193,1767956,1907375,1922634,2073769,2219054,2254484,2288850,2400494,2441440,2522869,2612473,2619044,2746620,2880853,2929728,2970169,3226004,3295944,3707937,3859369,4316516,4566542,4741369,4994456,5042084,5462942,5618763,5703253,5887124,5999054,6355742,6397333,6570133,6610196,6828793,7244942,7258453,7361403,7429813,7686313,7932836,8197369,8412836,8763575,9012116,9043369,9379753,9463669,9547513,9556107,9849764,9916683,9965653,10104783,10416254,10516290,10805156,11217376,11639444,11805575,11831379,11877524,11947669,12436693,12504542,12619548,12761269,12977816,13567669,13647913,13888213,14084975,14166690,14189371,14250335,14369636,14600043,14684533,15019179,15111136,15274995,15433364,15461495,15552169,15863576,15938942,16293328,16497339,16583576,16636335,16721269,16798633,16901970,17000028,17100402,17107369,17184373,17745424,17846523,17874169,17879975,17996595,18028768,18030103,18140414,18254869,18329994,18409443,18553794,18656523,18726164,18812894,18935593,19010869,19086073,19196368,19779236,19834153,19963602,20174936,20270530,20282364,20285771,20575033,20650334,20713124,20795893,20942773,21308713,21455970,21479774,21592923,21595914,21672853,22087850,22226324,22305614,22574756,22652763,22696803,22773335,22806884,22886368,23037656,23040169,23324713,23455742,23783054,23849876,24101269,24324636,24331983,24381493,24521173,24598814,24601295,24890276,25146169,25391506,25410974,25490869,25747164,25757290,25917363,25962035,26043236,26273444,26505420,26618516,26967575,26977643,27078164,27328002,27521269,27787093,28249513,28272448,28304942,28702895,28714479,28797284,28839795,28957900,29025956,29100542,29163769,29482916,29486869,29521554,29551273,29711204,29892542,30154136,30191353,30381973,30445369,30512482,30595587,30698233,30762448,30816359,30850724,30908748,31154442,31778654,31806504,31934894,32062219,32213924,32252533,32361090,32549163,32780564,32793243,33163513,33270995,33283753,33572516,33583093,33591723,33798542,33923403,34001891,34314335,34443474,34475684,34518496,34607754,34704169,34749480,34936873,34972899,35020667,35264276,35283769,35513593,35782317,35856169,35938964,36139669,36163604,36273580,36585483,36923893,36948836,37031423,37034773,37066112,37213016,37508756,37620644,37915736,38342869,38539490,38663413,38816654,38833308,39039575,39093165,39517844,39919669,39925194,40125013,40370379,40430869,40884793,40898174,40934869,41134453,41177202,41294996,41676299,41677369,41699376,41848676,41864643,41969833,42052803,42163369,42291044,42367694,42513854,42622484,42642169,42655203,43242494,43528296,43589260,43615076,43624213,43636335,43989973,44023370,44080693,44216233,44529973,45103273,45190393,45429811,45803170,45916179,46213369,46247388,46259626,46303448,46545424,46627369,46795796,46847490,46911798,46993813,47263895,47265423,47433769,47450516,47538734,47559524,47693336,47787253,47981113,48059975,48430436,48439033,48574130,48969333,48996853,49220942,49320755,49359733,49516196,49538473,49732964,49807779,49878619,49915742,49970656,50081603,50192654,50201269,50371369,50706836,50748695,50814884,51001333,51033769,51066133,51094059,51226873,51235639,51385813,51480313,51568574,51636373,51636508,51690723,51790633,51819400,51893979,52091379,52242613,52307112,52363602,52563769,52675714,52828044,53015353,53097973,53261269,53291156,53395369,53501353,53594135,53632213,53655003,53684053,53786869,53888533,54101531,54255524,54277214,54323899,54379573,54728953,54825603,54886453,54952873,54963804,54974869,54996793,55078574,55105333,55169593,55296169,55317013,55324004,55581433,55609934,55795669,55814713,55857044,55964473,56001193,56216988,56435893,56565493,56597173,56716674,56859459,57010453,57059294,57078313,57207839,57208633,57330483,57354063,57447673,57513769,57556393,57667669,57671970,57796693,57888169,57896053,57919273,57953787,57970933,58038613,58063669,58087076,58087573,58121269,58126633,58192916,58282153,58288956,58289173,58291369,58296825,58299433,58309369,58315669,58320853,58361774,58845501,59007614,59184906,59294975,59305235,59521694,59537570,59671316,59914295,60098648,60408164,60457803,60898434,61141906,61428974,61465496,61516768,61536575,61981844,62183280,62191124,62668562,62739691,63235604,63303854,63602835,63922083,64312962,64398399,64899730,64902542,65268575,65433100,65625764,66085180,66328832,66408603,66699843,66866084,66909848,66933802,67075934,67314542,67519850,67552574,67610979,67671374,67843024,68204564,68250575,68263214,68324019,68471495,68498942,68670364,69143343,69148683,69206364,69360027,69375635,69435284,69956190,70293848,70559396,70824542,71153970,71166282,71255170,71445084,71897154,71973575,72796004,72998564,73092542,73193770,73546683,73766440,73843890,73983614,74619936,74755742,74856723,74943843,75007256,75251020,75273579,75466095,75629534,75678296,75897568,76021604,76192895,76323402,76563050,76601534,76957258,77605570,77668136,77773694,77879676,78322290,78519720,78766816,79024856,79032542,79080579,79115156,79133523,79230579,79240334,79302216,79344014,79404575,79550942,79611236,79721863,80324043,80497168,80791503,80883935,81023820,81193316,81286574,81686036,81858335,81900690,82079636,82150595,82165794,82521791,82882094,82987245,83078942,83159396,83250762,83543776,83568542,83685848,83754368,83763374,83947428,84336343,84383163,84632595,84753482,85015316,85138083,85384764,85501796,85506204,85591850,86368290,86425408,86472356,86550268,86666084,86706466,86709614,87345580,87360736,87376653,87536276,87555575,87832524,87880618,88334685,88414683,88500116,88519728,88536974,88544895,88547723,88612668,88902963,88939779,88965123,88984814,89143516,89214993,89268884,89340494,89628130,90226964,90274768,90301224,90358055,90480542,90559314,90818255,91431474,91596254,91765742,91875660,91943444,92126176,92354414,92437934,92463423,92595139,92601335,92713900,93018542,93126684,93838484,93986748,94146579,94206575,94223664,94261804,94407400,94447888,94494995,94498724,94542963,94887896,95191934,95285490,96189284,96200942,96427779,96734174,96813266,96970643,97030676,97060722,97185614,97228584,97471187,97510299,97557854,97635795,97705742,97787794,98000704,98100520,98230002,98272923,98280828,98287683,98436542,98580714,98801816,98905587,99108050,99502179,99584694,...,141008896657499654718176143178047684959200277681636104386659477214896083679475266636752012738401532627614429513541441934401110293999029114038629593033600691740640338818317193841099353107625834188796643115070216791892286035126701994598598895755398917881829551907320088972656266626921128695507973668143806923967155575410856669519282696788102152458884932606468922617083508920875009679135956326256578640500916759683663838985541869470410329233602877260363703014342002210734446073129126668651748975375229509552011872760134963686260676200855356613070169023831320720570664747427632379678629741241458038206747130924700026927940329105580608102369066592529310207377835978805745011724290001608343867782983012915881581559167385493019525583842716958950033333518438233114450613033299672308490225570010062625308833167405335234644607426516144150664438254781196770261604451752956250254233598348670788371422612938591252479938461941324723869914892672076216584448194779056724464444094523621627196284137856565619480473006058767649734288885196321277453450740819223839213910796202224122449676480264907634861142055667731458762735661994760568242167998566835458110287031298214127726155909041490080523049222816292021954542749247117569779525257203829004953774666163577576299133875690729713037387711339499053702850256871965738800365993914752515597523321221063699847310267375527620277465327746681975427040585480435305361413253951254099972932243199385868678436010714466822121973722828113521269291296691466241782612824768591202096837890162267718214182759815932841477052063213789675948665892967143191596707083598322465085698756257772805503718590679937559873880006014368157188932507352549397879195114909811591170611750219375939790207120355500526669993017025935807762421904409995523282096021921398353034581328325329485380737298458544934129246654736471067292769548148011919469265748142673327360603476044184447687712210208411138506979721967878411512171370574860389283129985253867653749797557098238064716674083746351016253328690445933038010344069396046918508864548478676563460981588320907308826614688151156260490964295736057098712623288157442580173385822229129592148968689612600006424558917076854438890280713424855791832779156620601102997064143961649005905683823608495561454741599299243885432158537668755404904243087708827274639976191132189759328544944408310321580192974016352673731149056622720176320371341615281016250112421261401047494808507367778982733969093635765796}
15275   905431492007757680002440561305504971591870196253771847076612772: {61084,122152,137421,534205,595101,641046,763150,839245,915780,976832,1007094,1098936,1236303,1417413,1495382,2136260,2209945,2563512,2651934,2818105,2883951,3051800,3273805,3328581,3381726,3433275,3600741,3662160,3855973,3906304,3928566,4032505,4119930,4370149,4394592,4404649,4839006,4943916,5194453,5395645,5742841,6197389,6243070,6302605,6474774,6656821,6849813,7358905,7491684,7529054,7563126,7867189,8024629,8194413,8262745,8390077,8830686,8998581,9533613,9718654,9815204,9915294,9916045,10516045,10606249,10867413,11265145,11355589,11865733,11899254,11912206,12312205,12619254,12741476,12797497,13222244,13473044,13506445,13518174,13880629,14021720,14256662,14510629,14549305,14774646,14846905,15013822,15244597,15527246,15624381,15774435,15775172,16110166,16207734,16222270,16796822,16826064,17012606,17177413,17459166,17555161,17653069,17816286,17962045,18330709,18527581,18756813,18888920,18929322,19291705,19466724,19829470,19906393,20025572,20157949,20366660,20616901,20716237,20729470,21146389,21250035,21395102,21554454,21996452,22181780,22253881,22535960,22666704,22800536,23150046,23351641,23407705,23795364,23908413,23927821,23995460,24105614,24439992,24545924,24724045,24738392,24875364,25000489,25218670,25352955,25500042,25539433,25650603,25768093,25891405,25984957,26089789,26384869,26466206,26618136,26917142,27043152,27076093,27210621,27494991,27569341,27782905,27830691,28071097,28089246,28218445,28219341,28508605,28607960,28718173,28790564,28794552,28797070,28824926,29265349,29668854,29708734,29812345,29945403,30030253,30203684,30262404,30405795,30423546,30797917,30975501,31069686,31112845,31668373,32121241,32183955,32219661,32393871,32432848,32442644,32554045,32561389,32667829,32841805,33131775,33176269,33273145,33339486,33395773,33458421,33687742,33847705,33862134,34210326,34329552,34556484,34938013,35098141,35183613,35216809,35217374,35340560,35674581,35774814,35887981,35996605,36197375,36282445,36437336,36486954,36853645,36898221,37139005,37335414,37660414,37692670,37947673,38087259,38116461,38285972,38453060,38493901,38524453,38563405,38620746,38635935,38666102,38779669,39009253,39064854,39346261,39362072,39410166,39758130,39927774,40267405,40304569,40515517,40520534,40617246,40727246,40794116,40975705,40992003,41211664,41450893,41539256,41614862,41731669,41965645,42408672,42457413,42614137,42767917,42818206,42843349,43094605,43148120,43195926,43398884,43436850,43538934,43607542,43650813,43724324,44080345,44224374,44282331,44566806,44788964,44838813,44923705,45204505,45231204,45341975,45376873,45559573,45768723,45924632,46143672,46186045,46276086,46286533,46312453,46332640,46363122,46391929,46516270,46630532,46731663,46885945,46976317,47025805,47394670,47667981,47709756,47741989,47848057,47902341,48320886,48344126,48541635,48780644,49015513,49170846,49397305,49577821,49885657,50209429,50358774,50439289,50509789,50697813,51276877,51476293,51618745,51665211,51713526,51777744,51911631,52120189,52124220,52310845,52445773,52586317,52863805,52896414,53003893,53233592,53278105,53782309,53827172,53908446,54066781,54245406,54410370,54486575,54518845,54647294,54902936,55112062,55423254,55599168,55819524,56070404,56161526,56248237,56263134,56430966,56566969,56873604,57016921,57809235,57879310,58004629,58037728,58181780,58224981,58249962,58494745,58546117,58611481,59276766,59313145,59362646,59396854,59449405,59616670,59883997,59887791,59903629,60139189,60199849,60446893,60538045,60896317,61097773,61221572,61347261,61507117,61524649,61663184,61765803,61895245,61942494,62055541,62069134,62166205,62463320,62482414,62549064,62773014,63020564,63326437,63383545,63436566,63518605,63551541,63770781,63898213,63933726,64159429,64545635,64774250,64863741,64924189,65292444,65383890,65422614,65631349,65713933,66035055,66162973,66218509,66410372,66596461,66613945,67819405,67959619,68125412,68192197,68704755,68737933,68897581,68920964,68982229,69146749,69155005,69191972,69371082,69389439,69455172,69742816,69818136,69821305,70055593,70193694,70271235,70367697,70382254,70435022,70437392,70553557,70640053,71175774,71297341,71308101,71339286,71540004,72006709,72222733,72608845,72645654,72741145,72861195,72985054,73100804,73223629,73225117,73285072,73406974,73831413,74082541,74274294,74589145,74599446,74873613,74955984,75123310,75288981,75510205,75591886,75621241,75622232,75812612,76012189,76043509,76060254,76222326,76440644,76472084,76532062,76546969,76608253,76831870,76895960,77271716,77352861,77454762,77477305,77718608,77729100,77738905,77925614,78029269,78053629,78423973,78460668,78545403,78662149,78682126,78913208,78990422,79013571,79024789,79044505,79242066,79936734,80610404,80849821,80942713,81197912,81383286,81415821,81791375,82032205,82445706,82526461,82606475,82617861,82641902,82911040,82986006,83026909,83098093,83414901,83582605,83637310,83785566,84251641,84325482,84803780,84804973,85063933,85075011,85229444,85255705,85588941,85750616,85837955,85864532,86451589,86463481,86507955,86794105,87130614,87289374,87433434,87542661,87616573,87867310,88199245,88267342,88511421,88544804,88552189,88718206,88724629,88777359,88933124,89108053,89128813,89282541,89306355,89494574,89506974,89977597,90137869,90147972,90612246,90995005,91098692,91126742,91248205,91347651,91712859,91758622,92053741,92143461,92191124,92198244,92208050,92275152,92480036,92699821,92904949,92972766,93274920,93286686,93378853,93473654,93759070,93940222,94002843,94063775,94283293,94371949,94597870,94816894,94853406,94871960,94888376,94933909,94955781,95027005,95260112,95862872,95865397,96469443,96490174,96509101,96636781,96677654,97050649,97085170,97153117,97170949,97349595,97353813,97433221,97620601,97864789,98062244,98149650,98328697,98438646,98458520,98603389,98781070,98893945,99127770,99168574,99493248,99514045,99727897,99808964,99840793,99925124,...,211513344986249482077264214767071527438800416522454156579989215822344125519212899955128019107602298941421644270312162901601665440998543671057944389550401037610960508227475790761649029661438751283194964672605325187838429052690052991897898343633098376822744327860980133458984399940381693043261960502215710385950733363116285004278924045182153228688327398909703383925625263381312514518703934489384867960751375139525495758478312804205615493850404315890545554521513003316101669109693690002977623463062844264328017809140202445529391014301283034919605253535746981080855997121141448569517944611862187057310120696387050040391910493658370912153553599888793965311066753968208617517586435002412515801674474519373822372338751078239529288375764075438425050000277657349671675919549949508462735338355015093937963249751108002851966911139774216225996657382171795155392406677629434375381350397523006182557133919407886878719907692911987085804872339008114324876672292168585086696666141785432440794426206784848429220709509088151474601433327794481916180176111228835758820866194303336183674514720397361452291713083501597188144103492992140852363251997850253187165430546947321191589233863562235120784573834224438032931814123870676354669287885805743507430661999245366364448700813536094569556081567009248580554275385307948608200548990872128773396284981831595549770965401063291430416197991620022963140560878220652958042119880926881149959398364799078803017654016071700233182960584242170281903936945037199362673919237152886803145256835243401577321274139723899262215578094820684513922998839450714787395060625397483697628548134386659208255577886019906339810820009021552235783398761028824096818792672364717386755917625329063909685310680533250790004989525538903711643632856614993284923144032882097529551871992487994228071105947687817401193869982104706600939154322222017879203898622214009991040905214066276671531568315312616707760469582951817617268257055862290583924694977880801480624696335647357097075011125619526524379993035668899557015516104094070377763296822718014845191472382481360963239922032226734390736446443604085648068934932236163870260078733343694388223453034418900009636838375615281658335421070137283687749168734930901654495596215942473508858525735412743342182112398948865828148237806503133107356364631563240911959964286698284638992817416612465482370289461024529010596723584934080264480557012422921524375168631892101571242212761051668474100953640453648694}
15276   909492779618794875853575042347629078792987147421550991552796609: {76355,91626,106883,152690,183228,198419,259403,335786,655019,793468,854728,897803,961569,1144725,1221040,1249106,1261019,1342792,1351643,1373670,1431338,1465248,1510641,1562819,1648404,1889884,1923923,2074043,2104043,2243073,2670325,2911019,3000323,3064946,3204390,3356819,3418016,3426386,3535912,3814750,3845268,3948419,3977901,4147538,4390019,4438108,4508968,4577700,4595483,4800988,4882880,5034443,5045738,5072589,5180363,5224946,5238088,5267819,5493240,5645963,5761706,5791043,5859456,5892849,5906963,5940338,6080603,6179895,6427019,6452008,6591888,6657323,6858419,7087763,7258509,7415874,7516403,7715819,7718738,8283419,8481323,8633032,8707019,8904083,9072683,9133084,9364605,9409019,9464963,9482738,9712161,9967019,9988912,10084168,10466483,10577123,10660019,10742843,10798019,10925884,10990883,11210819,11237526,11293581,11344689,11402843,11406506,11539763,11774248,11949323,11976563,11998108,12112643,12269005,12302819,12357083,12711484,12763043,12794666,13032683,13140266,13220392,13246029,13328363,13649819,13657586,14050019,14489884,14516906,14577981,14713019,14722806,14859626,14872941,15187283,15372626,15632819,15815603,15865672,15893819,15926845,16394738,16527805,16801019,16825672,16841305,17527150,17848881,17868309,17876723,17902163,18024232,18086738,18759506,18927338,18928881,19088819,19095026,19112214,19413923,19699528,19718965,19833366,19931306,19950469,20010563,20209566,20277261,20504243,20832508,21032580,21311819,21384993,21482003,21610312,21627563,21646093,21676019,21845363,21966083,22161969,22206923,22434752,22520733,22566683,22638419,23067323,23186003,23278888,23290869,23351819,23611150,23662758,23705819,23755048,23895338,23974093,23987723,24128243,24165249,24311601,24333405,24873386,25009084,25031965,25149923,25172963,25195233,25239096,25458325,25518909,25522538,25955632,25974323,26188749,26314763,26724429,26743403,26855723,27135338,27295826,27495565,27547643,27658523,27727225,27776426,27813419,27989963,28169950,28333380,28378742,28393983,28500670,28739272,28908419,29189843,29200086,29233019,29369066,29491403,29512883,29555819,29744205,29770019,29812763,29940803,29994325,30038358,30222272,30450083,30549990,30660923,30682405,30724019,30866728,30922990,31094205,31104338,31142819,31392563,31599803,31703123,31727152,31877884,31882669,32092653,32331681,32586656,32745563,32994678,33128603,33167152,33272670,33442538,33528683,33588419,33597266,33803940,33826643,33886019,33945323,34000056,34024283,34200804,34214738,34240763,34368746,34436723,34441813,34725069,34826243,34903763,34961819,35116283,35347019,35490848,35693046,35748338,35759950,35861963,35918819,35988205,35993190,36057536,36060206,36158421,36280828,36346849,36389819,36509738,36659988,36818723,36818886,37040819,37107588,37169843,37280123,37313046,37452328,37554563,37625788,37754605,37828005,37871186,37917683,38021738,38172146,38250063,38313419,38349203,38367083,38392736,38669819,39558472,39581483,39668306,39699309,39719819,39892019,39927204,40148819,40184053,40285043,40349872,40375713,40488419,40541060,40553305,40564728,40571542,40791323,40908419,40958483,41150066,41207723,41300668,41388061,41426248,41488019,41591786,41684483,41700803,41885546,42133869,42379019,42506603,42617426,42807563,42911940,42959548,43043123,43185846,43191828,43195605,43237389,43345706,43447163,43555019,43764409,43861019,44012819,44175700,44193923,44418683,44452648,44503281,44537819,44563101,44611228,44715563,45023843,45125819,45149512,45241883,45305526,45393606,45546670,45613768,45635319,45672563,45772736,45814523,46011923,46075312,46080338,46221683,46235603,46579393,46604529,46635803,46649426,46649483,46717763,46911484,47015819,47083019,47123243,47176763,47376323,47442443,47455643,47566108,47678819,47699752,47857465,47912603,48002819,48040069,48066325,48202538,48635819,48649272,48663966,48762986,48784763,48908003,49042346,49197628,49202590,49333043,49404923,49488419,49583363,49780552,50009229,50222243,50279123,50292338,50358419,50381003,50531613,50715923,50783012,50793201,50821948,50946083,50981738,50992645,51022019,51076019,51236819,51311243,51315489,51395819,51427403,51494328,51500819,51514580,51834726,51892523,51924070,51933083,51963419,52086472,52380563,52439003,52546888,52574243,52826061,52886819,52914803,53010840,53090363,53237032,53299019,53406203,53415083,53494643,53521019,53662221,53797883,53882723,53935150,53955286,54008483,54156328,54248605,54374963,54398819,54414683,54540443,54655405,54656004,54725243,54730431,54748019,54883163,55008419,55042538,55102643,55117019,55167083,55244963,55411523,55452443,55499819,55574186,55775843,55871003,55889819,55939643,55986205,56003121,56104019,56192819,56319803,56404163,56448419,56464883,56486723,56490621,56499026,56539005,56544896,56609884,56662019,56687819,56779043,56872523,56972483,56981819,57109163,57183419,57196283,57213323,57259523,57276083,57368819,57405790,57419363,57428958,57464819,57520019,57527243,57573419,57594568,57679590,57684563,57691019,57729083,57792923,57804683,57861563,57878003,57910019,57915800,57931119,57948419,57980243,57985019,57999153,58001483,58051912,58059203,58079963,58109603,58135643,58153283,58178243,58201084,58213019,58255523,58266683,58279019,58288165,58307003,58316243,58324403,58325819,58327538,58331123,58332803,58334819,58335323,58336643,58337819,58338083,58597281,58965832,58973738,59043108,59102546,59115249,59187349,59422408,59637195,59785084,59891661,60308272,60382706,60466417,60763946,60780801,60890738,60925869,60975805,61024964,61090869,61191174,61396466,61524896,61632718,61701448,61817496,62308884,62422293,63557308,63613008,63869788,63938173,64124438,64227309,64427848,64505066,64722180,64793889,65098326,65155275,65308401,65411313,65561128,65586486,66169453,66327026,66336561,66541990,66567506,66850209,67145032,67166186,67183446,67283965,67597084,67846806,68003782,68126509,68628670,68886948,68951368,69036992,69049057,69215508,69408338,69414129,69498960,69544683,69774405,69873746,69945798,70041334,70088005,70528552,70567538,71027186,71048173,71092005,71564634,71712338,71877928,72279338,72327208,72481329,72516189,72547160,72727225,73170966,73756269,73847786,73897672,74062846,74069546,74132224,74426032,75017512,75031789,75241288,75538161,75831472,76526965,76685738,77078980,77326826,77570289,77633308,77666616,78079150,78186330,78775705,79035688,79344621,79839338,79850388,80250026,80740758,80861738,80862669,81368109,81615555,81769586,81796348,81869738,81970941,82268906,82354404,82589992,82668093,83012965,83027329,83134881,83352598,83354738,83398752,83697352,83729286,83880013,83939666,84105606,84242289,84326738,84394701,84582088,84646449,84735388,85027708,85156765,85244968,85284338,85310406,86151205,86484988,86489965,86818965,87056592,87178520,87230152,87248426,87272670,87374943,87979946,88046740,88161386,88212949,88432466,88915149,89043969,89059946,89095281,89425005,90206546,90380786,90859622,91376005,91606340,91832358,92230237,92426738,92494776,92519252,92606896,92913741,93090848,93103701,93254738,93591592,93694980,93723621,93823596,93987626,94159521,94527790,94530846,94765765,94867538,94901032,95077468,95119048,95154849,95386672,95550805,95574506,95590105,95860093,95900589,95962226,96119950,96589645,96860872,96878066,97125889,97148260,97161375,97525753,97938666,97993706,98075835,98133921,98441884,98641510,98719466,99032392,99076946,99465928,99615558,99757238,99831484,99941312,...,317270017479374223115896322150607291158200624783681234869983823733516188278819349932692028661403448412132466405468244352402498161497815506586916584325601556416440762341213686142473544492158126924792447008907987781757643579035079487846847515449647565234116491791470200188476599910572539564892940753323565578926100044674427506418386067773229843032491098364555075888437895071968771778055901734077301941127062709288243637717469206308423240775606473835818331782269504974152503664540535004466435194594266396492026713710303668294086521451924552379407880303620471621283995681712172854276916917793280585965181044580575060587865740487556368230330399833190947966600130952312926276379652503618773702511711779060733558508126617359293932563646113157637575000416486024507513879324924262694103007532522640906944874626662004277950366709661324338994986073257692733088610016444151563072025596284509273835700879111830318079861539367980628707308508512171487315008438252877630044999212678148661191639310177272643831064263632227211902149991691722874270264166843253638231299291455004275511772080596042178437569625252395782216155239488211278544877996775379780748145820420981787383850795343352681176860751336657049397721185806014532003931828708615261145992998868049546673051220304141854334122350513872870831413077961922912300823486308193160094427472747393324656448101594937145624296987430034444710841317330979437063179821390321724939097547198618204526481024107550349774440876363255422855905417555799044010878855729330204717885252865102365981911209585848893323367142231026770884498259176072181092590938096225546442822201579988812383366829029859509716230013532328353675098141543236145228189008547076080133876437993595864527966020799876185007484288308355567465449284922489927384716049323146294327807988731991342106658921531726101790804973157059901408731483333026818805847933321014986561357821099415007297352472968925061640704374427726425902385583793435875887042466821202220937044503471035645612516688429289786569989553503349335523274156141105566644945234077022267787208573722041444859883048340101586104669665406128472103402398354245805390118100015541582335179551628350014455257563422922487503131605205925531623753102396352481743394323913710263287788603119115013273168598423298742222356709754699661034546947344861367939946430047426958489226124918698223555434191536793515895085377401120396720835518634382286562752947838152356863319141577502711151430460680473041}
15277   913572138908632576781949082661222990278262800399328760005656892: {15277,122168,137439,229035,244304,274842,503679,747887,991835,1068410,1174943,1190202,1282092,1526300,1678490,1831560,1873659,1953664,2014188,2060505,2147007,2197872,2362355,2472606,2834826,2990764,3093923,3945347,4272520,4419890,4557059,4583327,4597419,4806585,4922843,5127024,5139579,5303868,5547635,5636210,5645507,5722125,5767902,6001235,6103600,6138899,6221307,6547610,6657162,6763452,6866550,7201482,7324187,7324320,7553903,7568607,7711946,7812608,7837419,7857132,8065010,8239860,8642559,8740298,8789184,8809298,8823647,8910507,8968703,9297587,9678012,9887832,10302467,10388906,10791290,11123627,11123811,11201663,11416355,11485682,11567843,11578107,11854043,12199979,12394778,12486140,12605210,12949548,12949667,13197503,13313642,13657355,13680083,13699626,13882463,14023139,14224107,14717810,14722463,14983368,14997635,15058108,15126252,15734378,15761363,15771203,15889355,16049258,16388826,16525490,16780154,16856289,17038079,17109759,17237087,17304827,17661372,17997162,18112355,18847067,18909023,19067226,19191999,19437308,19630408,19710399,19830588,19832090,20300579,20369027,20486379,20487263,20785667,21032090,21149183,21212498,21315779,21734826,21775359,22084209,22144943,22289439,22530290,22711178,23056883,23058939,23403167,23731466,23798508,23824412,24592107,24624410,24962099,24991187,25146863,25238508,25482952,25594994,26040635,26290725,26420627,26444488,26785259,26865803,26946088,27008387,27012890,27036348,27130107,27761258,27777023,27941723,28043440,28139259,28391007,28513324,28642539,28668321,29021258,29098610,29549292,29693810,29750049,29781707,29896959,30027644,30314349,30489194,30692927,30833387,31054492,31248762,31261355,31373579,31548870,31550344,31999019,31999979,32220332,32415468,32444540,32770787,33593644,33652128,33939659,34025212,34336499,34354826,34613663,34918332,35110322,35306138,35416725,35490299,35494137,35632572,35730923,35843007,35924090,36247967,36511103,36661418,37055162,37310079,37426259,37513626,37613867,37777840,37858644,38283807,38583410,38896067,38933448,39359963,39505823,39658940,39798779,39812786,39847355,39912047,40051144,40315898,40703007,40733320,40943739,41233802,41290379,41432474,41458940,41664639,41737283,42254925,42292778,42500070,42568113,42751005,42790204,43108908,43341983,43557983,43800129,43992904,44053599,44315603,44363560,44507762,45046283,45057537,45071920,45333408,45351035,45528899,45553043,45575663,45601072,45824985,45978527,46300092,46384485,46582403,46642079,46656507,46703282,46815410,47032235,47386787,47590379,47590728,47816826,47854379,47855642,47883743,47990920,48211228,48879984,48987419,49091848,49448090,49476784,49492017,49750728,49909005,50000978,50163807,50216063,50395247,50395899,50437340,50676325,50705910,50795423,50951363,51000084,51078866,51147923,51301206,51322107,51536186,51553119,51595103,51625835,51782810,51849803,51969914,51994607,52179578,52769738,52932412,53236272,53539569,53622507,53639925,53699435,53834284,53988767,53989785,54086304,54090309,54152186,54421242,54732899,54764607,54989982,55138682,55219625,55228329,55341803,55565810,55661382,55690643,55764035,55969569,56142194,56178492,56373323,56374367,56436890,56438682,56574443,56576159,56806779,57017210,57032607,57215920,57258219,57365987,57436346,57581128,57589104,57594140,57649852,57687107,58515683,58530698,58639355,58751903,59337708,59417468,59457635,59502459,59624690,59693387,59890806,60060506,60207803,60332447,60407368,60524808,60811590,60835619,60847092,60857313,61023323,61497035,61595834,61596587,61712483,61725099,61913963,61951002,62063903,62139372,62225690,62387679,62748899,62828319,62893187,63136427,63286307,63336746,63478765,63527435,63926139,64242482,64367910,64393225,64439322,64660463,64778769,64787742,64828703,64865696,64885288,64932923,65018559,65096063,65108090,65122778,65335658,65640323,65683610,65836127,66263550,66352538,66546290,66678972,66791546,66855779,66916842,67015199,67375484,67695410,67724268,67958289,68090409,68320005,68420652,68659104,68709323,68762843,69112968,69120507,69156227,69876026,69974139,70196282,70367226,70433618,70434748,70554947,70562879,70681120,70762355,71073587,71349162,71549628,71599583,71775962,71993210,72016223,72206459,72266243,72303807,72394750,72564890,72751355,72874672,72945203,72973908,72995949,73144479,73235183,73472939,73563519,73707290,73796442,73803885,74009327,74035067,74278010,74589347,74670828,74731355,75320828,75385340,75438507,75895346,76174518,76214399,76232922,76281205,76326383,76472607,76571944,76728587,76906120,76987802,77048906,77093999,77126810,77241492,77271870,77332204,77464883,77559338,77664443,77752089,77886105,78018506,78129708,78692522,78724144,78820332,79171103,79446635,79516260,79532987,79837235,79855548,80088383,80534810,80609138,80633099,80836499,80902725,80932929,81031034,81041068,81056063,81234492,81235739,81454492,81588232,81892643,81951410,81984006,82423328,82499327,82545539,82563807,82901786,83038403,83078512,83196683,83217059,83229167,83229724,83361279,83463338,83483699,83931290,84005483,84496355,84748539,84753263,84817344,84914826,85228274,85354139,85493867,85535834,85636412,85686698,86108685,86143437,86189210,86296240,86391852,86519385,86537483,86653343,86797768,86873700,87032687,87077868,87209183,87215084,87301626,87448648,87491307,87617147,88160690,88321823,88448748,88460607,88564662,88653819,88736963,88926047,89133612,89577928,89677626,89832587,89847410,90062099,90166523,90363889,90409010,90462408,90574059,90683950,90753746,90929387,91119146,91145919,91336107,91537446,91618139,91786761,91849264,92094699,92287344,92372090,92449077,92552172,92573066,92624906,92665280,92726244,92783858,93032540,93136067,93259523,93261064,93389039,93463326,93771890,93952634,94051610,94398467,94789340,94947167,95335962,95419512,95483978,95696114,95804682,96186657,96348725,96641772,96688252,96757599,96817007,97041635,97083270,97561288,97647489,97749827,97933919,98031026,98341692,98379729,98589503,98794610,98805179,99155642,99490539,99749003,99771314,99812985,99851259,...,423026689972498964154528429534143054877600833044908313159978431644688251038425799910256038215204597882843288540624325803203330881997087342115888779100802075221921016454951581523298059322877502566389929345210650375676858105380105983795796687266196753645488655721960266917968799880763386086523921004431420771901466726232570008557848090364306457376654797819406767851250526762625029037407868978769735921502750279050991516956625608411230987700808631781091109043026006632203338219387380005955246926125688528656035618280404891058782028602566069839210507071493962161711994242282897139035889223724374114620241392774100080783820987316741824307107199777587930622133507936417235035172870004825031603348949038747644744677502156479058576751528150876850100000555314699343351839099899016925470676710030187875926499502216005703933822279548432451993314764343590310784813355258868750762700795046012365114267838815773757439815385823974171609744678016228649753344584337170173393332283570864881588852413569696858441419018176302949202866655588963832360352222457671517641732388606672367349029440794722904583426167003194376288206985984281704726503995700506374330861093894642383178467727124470241569147668448876065863628247741352709338575771611487014861323998490732728897401627072189139112163134018497161108550770615897216401097981744257546792569963663191099541930802126582860832395983240045926281121756441305916084239761853762299918796729598157606035308032143400466365921168484340563807873890074398725347838474305773606290513670486803154642548279447798524431156189641369027845997678901429574790121250794967395257096268773318416511155772039812679621640018043104471566797522057648193637585344729434773511835250658127819370621361066501580009979051077807423287265713229986569846288065764195059103743984975988456142211895375634802387739964209413201878308644444035758407797244428019982081810428132553343063136630625233415520939165903635234536514111724581167849389955761602961249392671294714194150022251239053048759986071337799114031032208188140755526593645436029690382944764962721926479844064453468781472892887208171296137869864472327740520157466687388776446906068837800019273676751230563316670842140274567375498337469861803308991192431884947017717051470825486684364224797897731656296475613006266214712729263126481823919928573396569277985634833224930964740578922049058021193447169868160528961114024845843048750337263784203142484425522103336948201907280907297388}
15278   917669649650287395183210845317944632811235964815276650871560389: {106897,152710,183252,213766,289921,305380,366456,396838,412263,518806,563917,671572,928237,1200721,1310038,1586936,1602615,1709456,1785303,1795606,1907875,1923138,2104321,2289450,2373997,2442080,2498212,2517735,2522038,2685584,2703286,2747340,2862676,2930496,3021282,3125638,3296808,3708909,3738455,3779768,3847846,4148086,4208086,4252239,4486146,4947457,5210221,5340650,5822038,6000646,6081421,6129892,6408780,6629835,6713638,6773197,6836032,6852772,7071824,7374721,7629500,7690536,7896838,7955802,7972717,8057857,8295076,8454315,8651853,8780038,8876216,9017936,9155400,9190966,9601976,9765760,9821415,9985743,10068886,10091476,10145178,10299825,10360726,10449892,10476176,10535638,10578577,10802223,10986480,11291926,11523412,11567919,11582086,11718912,11785698,11813926,11880676,11978221,12097515,12161206,12359790,12385921,12629677,12854038,12904016,13110447,13183776,13213947,13314646,13437517,13716838,14175526,14238157,14517018,14831748,15032806,15431638,15437476,15583359,15607675,15974221,16186935,16519297,16566838,16962646,17176607,17228523,17266064,17414038,17522221,17808166,17904721,18145366,18266168,18592167,18729210,18818038,18822635,18907815,18929926,18965476,19416721,19424322,19934038,19970463,19977824,20013457,20168336,20310097,20531821,20549439,20932966,21154246,21266221,21320038,21485137,21485686,21596038,21848557,21851768,21981766,21993421,22076715,22297583,22421638,22475052,22587162,22689378,22805686,22813012,23079526,23138927,23548496,23567917,23577827,23601567,23898646,23953126,23996216,24073887,24225286,24272077,24296635,24538010,24583239,24605638,24714166,24788235,24969037,25038337,25170231,25176721,25422968,25526086,25589332,26000977,26065366,26280532,26409217,26440784,26492058,26656726,26679937,26882221,26995743,27299638,27315172,27606551,28016257,28100038,28333019,28542721,28600839,28979768,29033812,29155962,29426038,29445612,29517421,29719252,29745882,29748135,29780515,29966737,30374566,30602497,30745252,30791821,31265638,31293517,31548135,31631206,31731344,31787638,31818747,31853690,32160397,32344321,32527597,32602239,32789476,33055610,33553921,33602038,33651344,33682610,33732877,33795435,33851821,34066767,34265857,34617937,34851217,35044751,35054300,35486797,35597199,35641655,35697762,35736618,35753446,35772817,35804326,36048464,36173476,36843277,36936615,37175917,37451137,37519012,37534555,37854676,37857762,37941997,38177638,38190052,38224428,38373421,38392491,38480557,38493791,38818115,38827846,38906221,39274897,39399056,39437930,39588097,39666732,39691921,39862612,39900938,40021126,40275415,40308817,40419132,40519335,40554522,40555675,40865197,41008486,41214721,41609857,41641887,41665016,41707921,41992055,42065160,42393439,42531515,42623638,42767617,42769986,42955367,42964006,43050577,43220624,43255126,43292186,43352038,43531887,43647915,43690726,43932166,44323938,44413846,44540715,44869504,44870737,45041466,45133366,45264397,45276838,45307777,45733791,46034221,46134646,46243921,46372006,46557776,46581738,46657921,46703638,46739857,46873143,47222300,47323305,47325516,47411638,47464321,47510096,47790676,47948186,47975446,48127117,48165457,48256486,48330498,48425707,48544897,48623202,48666810,48806221,48913163,48917137,49064017,49245997,49354321,49426177,49573675,49746772,50018168,50063930,50299846,50300077,50345926,50383487,50390466,50478192,50901421,50916650,51037818,51045076,51161197,51447937,51532239,51823675,51911264,51912877,51948646,52003921,52243537,52302721,52377498,52449421,52629526,52665483,52856447,52959207,53101057,53372497,53425921,53431543,53448858,53486806,53487755,53558221,53711446,53886135,54019597,54118957,54270676,54386257,54433921,54591652,54991130,54992127,55095286,55114321,55178797,55263757,55317046,55454450,55552852,55582743,55626838,55787917,55920721,55958017,55979926,56049997,56140177,56270439,56315137,56339900,56366221,56482897,56499277,56659117,56666760,56757484,56774627,56787966,57001340,57161857,57213697,57350317,57432721,57478544,57816838,57875115,57878221,57894637,57902737,57934417,58015597,58029421,58140877,58177921,58271377,58302337,58331821,58343917,58348237,58352017,58354321,58379686,58400172,58466038,58738132,58982806,59025766,59111638,59488410,59540038,59625526,59719179,59881606,59988650,60076716,60264035,60444544,60473847,60900166,61099980,61321846,61364810,61448038,61733456,61845980,61850703,62148711,62188410,62208676,62285638,62785126,63046675,63199606,63406246,63439167,63454304,63750105,63755768,63765338,64185306,64663362,65173312,65491126,65491327,65989356,66165515,66257206,66334304,66545340,66761643,66885076,67000451,67057366,67176838,67194532,67292855,67607880,67653286,67772038,67890646,68000112,68048566,68401608,68429476,68481526,68737492,68873446,68883626,69450138,69652486,69807526,69923638,70054923,70223115,70232566,70694038,70981696,71386092,71389703,71460311,71496676,71519900,71723926,71725239,71783463,71837638,71976410,71986380,71992675,72062315,72115072,72120412,72316842,72561656,72693698,72779638,73019476,73319976,73637446,73637772,74081638,74172135,74215176,74271835,74339686,74560246,74626092,74810251,74904656,75001467,75109126,75251576,75509210,75656010,75742372,75835366,75948047,76043476,76058865,76344292,76500126,76517567,76618299,76626838,76698406,76734166,76785472,76951809,77304279,77339638,77674215,77954871,78269367,78380687,79116944,79154607,79162966,79336612,79398618,79439638,79784038,79854408,80297638,80368106,80513147,80570086,80699744,80751426,80976838,81082120,81106610,81129456,81143084,81228279,81582646,81603431,81631863,81816838,81916966,82300132,82415446,82484973,82601336,82708023,82776122,82852496,82976038,83183572,83348715,83368966,83401606,83492073,83771092,84213291,84219355,84267738,84655335,84658023,84758038,85013206,85234852,85366127,85525815,85615126,85823880,85919096,86086246,86154519,86371692,86383656,86391210,86474778,86691412,86894326,87110038,87528818,87722038,87796047,88025638,88043435,88351400,88387846,88837366,88905296,89006562,89075638,89126202,89222456,89431126,89437035,89836209,90047686,90090759,90251638,90299024,90483766,90611052,90787212,91093340,91217385,91227536,91270638,91345126,91545472,91629046,92023846,92150624,92160676,92393751,92443366,92471206,92926503,93158786,93209058,93271606,93298852,93298966,93338535,93435526,93822968,94031638,94151035,94166038,94197551,94231675,94246486,94353526,94752646,94884886,94911286,95005119,95132216,95357638,95399504,95714930,95825206,96005638,96080138,96132650,96363723,96405076,96551865,96658983,96665255,97181613,97271638,97298544,97327932,97525972,97569526,97662135,97684167,97816006,98003487,98084692,98123207,98395256,98405180,98525415,98590943,98666086,98809846,98976838,99166726,99395325,99528807,99561104,99819435,...,634540034958748446231792644301214582316401249567362469739967647467032376557638699865384057322806896824264932810936488704804996322995631013173833168651203112832881524682427372284947088984316253849584894017815975563515287158070158975693695030899295130468232983582940400376953199821145079129785881506647131157852200089348855012836772135546459686064982196729110151776875790143937543556111803468154603882254125418576487275434938412616846481551212947671636663564539009948305007329081070008932870389188532792984053427420607336588173042903849104758815760607240943242567991363424345708553833835586561171930362089161150121175731480975112736460660799666381895933200261904625852552759305007237547405023423558121467117016253234718587865127292226315275150000832972049015027758649848525388206015065045281813889749253324008555900733419322648677989972146515385466177220032888303126144051192569018547671401758223660636159723078735961257414617017024342974630016876505755260089998425356297322383278620354545287662128527264454423804299983383445748540528333686507276462598582910008551023544161192084356875139250504791564432310478976422557089755993550759561496291640841963574767701590686705362353721502673314098795442371612029064007863657417230522291985997736099093346102440608283708668244701027745741662826155923845824601646972616386320188854945494786649312896203189874291248593974860068889421682634661958874126359642780643449878195094397236409052962048215100699548881752726510845711810835111598088021757711458660409435770505730204731963822419171697786646734284462053541768996518352144362185181876192451092885644403159977624766733658059719019432460027064656707350196283086472290456378017094152160267752875987191729055932041599752370014968576616711134930898569844979854769432098646292588655615977463982684213317843063452203581609946314119802817462966666053637611695866642029973122715642198830014594704945937850123281408748855452851804771167586871751774084933642404441874089006942071291225033376858579573139979107006698671046548312282211133289890468154044535574417147444082889719766096680203172209339330812256944206804796708491610780236200031083164670359103256700028910515126845844975006263210411851063247506204792704963486788647827420526575577206238230026546337196846597484444713419509399322069093894689722735879892860094853916978452249837396447110868383073587031790170754802240793441671037268764573125505895676304713726638283155005422302860921360946082}
15279   921785391966103333657599509689980942791392482665360730020732508: {30554,229065,244336,274878,320649,381725,458070,488608,549684,595257,778209,839465,1007358,1388569,1495774,1965057,1983670,2136820,2349886,2380404,2564184,2693409,2884707,3052600,3122765,3307297,3356980,3434175,3578345,3663120,3747318,3783057,3907328,4028376,4054929,4121010,4294014,4395744,4531923,4688457,4724710,4945212,5502001,5669652,5771769,5981528,6187846,6222129,6312129,6729219,6867377,7509869,7662365,7766689,7890694,8010975,8058257,8401729,8545040,8565965,8733057,8839780,9000969,9114118,9166654,9194838,9536875,9613170,9845686,10070457,10156409,10254048,10279158,10368845,10607736,11095270,11272420,11291014,11444250,11535804,11845257,11933703,12002470,12207200,12277798,12432289,12442614,12614345,13062365,13095220,13170057,13238329,13314324,13526904,13733100,13786449,14402964,14404265,14418157,14623537,14648374,14648640,14850845,15103329,15107806,15137214,15217767,15423892,15541089,15597049,15625216,15674838,15714264,15803457,15982897,16130020,16479720,16937889,17285118,17373129,17480596,17578368,17615641,17618596,17647294,17678547,17720889,17821014,17844497,17937406,18241809,18539685,18595174,19120297,19281057,19296845,19340689,19356024,19775664,19971969,20575257,20604934,20777812,20996689,21064369,21263289,21582580,21775527,21812417,22245097,22247254,22247622,22403326,22549209,22802417,22832710,22956749,22971364,23135686,23147457,23156214,23706845,23708086,24181609,24399958,24789556,24850257,24972280,24994489,25210420,25357297,25443969,25899096,25899334,26031437,26121057,26395006,26627284,26712249,27218049,27314710,27360166,27399252,27740537,27764926,28046278,28091857,28093815,28227057,28394889,28448214,28516265,28718617,28965257,29101229,29136483,29435620,29444926,29901057,29966736,29995270,30116216,30252504,31399449,31468756,31522726,31542406,31676777,31731369,31778710,31980057,31986665,32098516,32228529,32394057,32777652,32850665,32972649,33050980,33560308,33632457,33696737,33712578,33880743,34034067,34076158,34143965,34208529,34219518,34474174,34609654,34619289,35322744,35847969,35929689,35994324,36224710,36292265,36337929,36456889,36807015,36908457,37071249,37149065,37281689,37694134,37818046,37818157,38134452,38289129,38383998,38431565,38874616,39098049,39130541,39260816,39420798,39661176,39664180,39738087,39934561,39985089,40601158,40738054,40949457,40972758,40974526,40986845,41461937,41571334,42064180,42074729,42150057,42298366,42424996,42620957,42631558,43469652,43550718,43733943,43765897,43817875,44139057,44168418,44289886,44371421,44578878,44618823,45060580,45216845,45422356,45561849,45897569,46113766,46117878,46806334,46898457,46898765,47318345,47446809,47462932,47597016,47648824,47681457,47737565,47780535,49184214,49248820,49583415,49603949,49828265,49924198,49982374,50293726,50403057,50477016,50523915,50592257,50965904,51154681,51167897,51189988,51771689,52081270,52134137,52581450,52775441,52841254,52888976,53546643,53570518,53604927,53630169,53706489,53731606,53892176,54016774,54025780,54072696,54260214,55122457,55278701,55522516,55554046,55786297,55883446,56086880,56278518,56782014,56786643,56945641,57026648,57266457,57285078,57336642,57694729,58042516,58197220,58241769,59027875,59096249,59098584,59156895,59387620,59500098,59531377,59563414,59738345,59793918,59851407,60015257,60031689,60055288,60628698,60831783,60978388,61385854,61512729,61666774,62072009,62108984,62183465,62497524,62522710,62682317,62747158,63097740,63100688,63144769,63459161,63491449,63667241,63806345,63935457,63998038,63999958,64154979,64440664,64446009,64830936,64882689,64889080,64938279,65028057,65251421,65399881,65403949,65536089,65541574,65578337,65845129,65898249,66379697,66485907,66620769,67187288,67304256,67562199,67700049,67838345,67879318,67915257,68050424,68239565,68672998,68709652,69201969,69227326,69441065,69558009,69836664,69872607,70055457,70220644,70424875,70612276,70833450,70946855,70980598,70988274,71117457,71251675,71265144,71401229,71461846,71686014,71826857,71848180,71922279,71963169,72276169,72384729,72495747,72495934,72934803,72954841,73000215,73022206,73046969,73322836,73348249,73422665,73447897,74044849,74110324,74125889,74560589,74620158,74852518,75027252,75095895,75179209,75227734,75449769,75518889,75555680,75585699,75641309,75717288,76305617,76374975,76556727,76567614,76738909,77166820,77307475,77760845,77792134,77866896,77922969,78069649,78566247,78719926,78855529,78944289,79011646,79045937,79317880,79452881,79597558,79625572,79694710,79824094,80102288,80173287,80230209,80567169,80631796,81139697,81406014,81466640,81887478,82095097,82467604,82486695,82548449,82580758,82635641,82642929,82864948,82917880,82975569,83181675,83240689,83329278,83440257,83474566,83606345,83969889,83993165,84313417,84509850,84515057,84585556,84617689,84822317,85000140,85136226,85181949,85502010,85536845,85580408,85921865,85997789,86095849,86217816,86683966,86725257,87115966,87569529,87600258,87699057,87985808,88107198,88474209,88538649,88631206,88667457,88727120,88870271,88889809,88938409,89015524,89232615,89310057,89370845,89399875,89438289,89470957,89822409,89982975,90092566,90115074,90143840,90150515,90666816,90702070,91057798,91106086,91151326,91202144,91274345,91350249,91649970,91957054,91982769,92001041,92047215,92172057,92600184,92768970,92976857,93164806,93282615,93284158,93313014,93406564,93428457,93565849,93630820,93888481,94064470,94177689,94370161,94677965,94773574,94799409,95054345,95109369,95180758,95181456,95430365,95551969,95633652,95648007,95708758,95711284,95767486,95793529,95981840,96277959,96422456,96654041,96877169,96995043,97759968,97974838,98183696,98236689,98896180,98953568,98984034,99067297,99170765,99385809,99501456,99818010,...,951810052438122669347688966451821873474601874351043704609951471200548564836458049798076085984210345236397399216404733057207494484493446519760749752976804669249322287023641058427420633476474380774377341026723963345272930737105238463540542546348942695702349475374410600565429799731717618694678822259970696736778300134023282519255158203319689529097473295093665227665313685215906315334167705202231905823381188127864730913152407618925269722326819421507454995346808514922457510993621605013399305583782799189476080141130911004882259564355773657138223640910861414863851987045136518562830750753379841757895543133741725181763597221462669104690991199499572843899800392856938778829138957510856321107535135337182200675524379852077881797690938339472912725001249458073522541637974772788082309022597567922720834623879986012833851100128983973016984958219773078199265830049332454689216076788853527821507102637335490954239584618103941886121925525536514461945025314758632890134997638034445983574917930531817931493192790896681635706449975075168622810792500529760914693897874365012826535316241788126535312708875757187346648465718464633835634633990326139342244437461262945362151552386030058043530582254009971148193163557418043596011795486125845783437978996604148640019153660912425563002367051541618612494239233885768736902470458924579480283282418242179973969344304784811436872890962290103334132523951992938311189539464170965174817292641595854613579443072322651049323322629089766268567716252667397132032636567187990614153655758595307097945733628757546679970101426693080312653494777528216543277772814288676639328466604739966437150100487089578529148690040596985061025294424629708435684567025641228240401629313980787593583898062399628555022452864925066702396347854767469782154148147969438882983423966195974026319976764595178305372414919471179704226194449999080456417543799963044959684073463298245021892057418906775184922113123283179277707156751380307627661127400463606662811133510413106936837550065287869359709968660510048006569822468423316699934835702231066803361625721166124334579649145020304758314008996218385416310207195062737416170354300046624747005538654885050043365772690268767462509394815617776594871259307189057445230182971741130789863365809357345039819505795269896226667070129264098983103640842034584103819839290142280875467678374756094670666302574610380547685256132203361190162506555903146859688258843514457070589957424732508133454291382041419123}
15280   925919446329269271734305475939299130322478443919151412838819444: {45831,167959,213794,259471,305420,366504,412317,427532,579842,610760,687105,715951,732912,793676,807031,824526,1037612,1127834,1343144,1511037,1623511,1856474,1984519,2243661,2254519,2401442,2613511,2620076,2671025,2703079,2971351,2975505,3173872,3205230,3417031,3418912,3524829,3570606,3591212,3815750,3846276,3949471,4196225,4208642,4578900,4655359,4747994,4884160,4996424,5035470,5044076,5233837,5371168,5406572,5494680,5620977,5705551,5725352,5792599,5860992,5966479,6042564,6181515,6251276,6441021,6593616,6659119,6917671,7087065,7417818,7476910,7518439,7559536,7689439,7695692,8200711,8285671,8296172,8416172,8504478,8972292,9281769,9383599,9467551,9551431,9635239,9894914,10420442,10469359,10681300,10800991,11048959,11049725,11644076,11836041,12001292,12162842,12259784,12360511,12817560,13090159,13259670,13427276,13546394,13653631,13671177,13672064,13705544,13749981,13792257,13974031,14090525,14143648,14419755,14690719,14749442,14768529,15259000,15381072,15418737,15637231,15793676,15911604,15945434,16115714,16369025,16590152,16642905,16805791,16908630,16936521,17166375,17191711,17268679,17303706,17560076,17752432,17958151,18003705,18035872,18310800,18381932,18416697,18663921,19019071,19094311,19203952,19279865,19531520,19642830,19917199,19971486,20065879,20137772,20162525,20182952,20290356,20436319,20599650,20657719,20721452,20899784,20951911,20952352,21071276,21157154,21391039,21536839,21604446,21682351,21850745,21900079,21972561,21972960,22023245,22583852,22661709,22692871,22705821,23046824,23135838,23164172,23437824,23512257,23571396,23627852,23761352,23956442,24195030,24322412,24392359,24532111,24719580,24771842,25259354,25571071,25708076,25808032,25927677,25972265,25982119,26220894,26351689,26367552,26427894,26470941,26629292,26731521,26875034,26906109,26978225,26998399,27266671,27433676,27892761,27998479,28262431,28351052,28476314,28714205,29034036,29177191,29241991,29564911,29663496,29821951,30065612,30268999,30459511,30712519,30863276,30874952,30907401,30986945,31166718,31215350,31350737,31513025,31526839,31948442,32373870,32877199,33038594,33058639,33133676,33179239,33284105,33299551,33370881,33371433,33484477,33604989,33925292,34015289,34074559,34249065,34353214,34369399,34457046,34486831,34532128,34703529,34720831,34734321,34828076,34837399,34953679,35044442,35358391,35562129,35616332,35702479,35809442,35930431,36290732,36439111,36532336,36599937,36794525,36830719,36941959,37184334,37218799,37458420,37603351,37636076,37645270,37815630,37859852,37930159,37930952,38092591,38361871,38735839,38833442,38848644,38849001,39335945,39525319,39592509,39868076,39939751,39940926,39955648,40026914,40123145,40145239,40336672,40502071,40620194,40805119,40955671,40972065,41040249,41063642,41098878,41155399,41313725,41647389,41692721,41865932,41894119,41950385,42069417,42233311,42308492,42521239,42532442,42640076,42672321,42853879,42970274,42971372,43192076,43322959,43600951,43697114,43703536,43876351,43963532,43986842,44153430,44167389,44239519,44464159,44595166,44598079,44843276,44950104,44992905,45127279,45170911,45174324,45257959,45378756,45611372,45626024,46159052,46277854,46611559,46897831,47096992,47135834,47155654,47203134,47284089,47313609,47668065,47797292,47813599,47852551,47906252,47992432,48007639,48147774,48390319,48450572,48544154,48593270,48802951,49076020,49166478,49211276,49423519,49428332,49566511,49576470,49580225,49602079,49672999,49849039,49898317,49938074,50023279,50076674,50101337,50264191,50340462,50353442,50400271,50568867,50801599,50845936,51052172,51063391,51095791,51114237,51178664,51224671,51329277,51447439,51510439,51711261,51851791,51912919,51914481,52001954,52130732,52154551,52362199,52548377,52561064,52580225,52766911,52818434,52881568,52984116,53031245,53130079,53313452,53320591,53359874,53533999,53691031,53764442,53921719,53991486,54122849,54171199,54337065,54345361,54413479,54437311,54578791,54599276,54630344,54763399,54921151,54987679,55009711,55031671,55140391,55161919,55204759,55213102,55226071,55352431,55476199,55637191,55851031,56032514,56128591,56200076,56325725,56356039,56385581,56489959,56541201,56603359,56619271,56650879,56666038,56727069,56777945,56951119,57007711,57085442,57116477,57201678,57230381,57248119,57285919,57395431,57554191,57575997,57628279,57718351,57756511,57838159,57846871,57937951,57959536,58013191,58067624,58087639,58164391,58169791,58185559,58274119,58311924,58333879,58336111,58346191,58355911,58365631,58366999,58368511,58788877,58852076,58891224,59034842,59131197,59328665,59438504,59491764,59496270,59544121,59561030,59933474,60749132,60901737,61107081,61204994,61459137,61461789,61490504,61561025,61583642,62357001,62531276,62587034,63096270,63146369,63262412,63447549,63462688,63575276,63637494,63707380,63947337,63987485,64320794,64688642,65055194,65204478,65326077,65578952,66111220,66252627,66434829,66868317,67107842,67204076,67302688,67365220,67465754,67532225,67590870,67703642,68133534,68531714,69170649,69176817,69235874,69403145,69702434,70089502,70108600,70209501,70973594,71194398,71283310,71395524,71473236,71506892,71545634,71608652,72096928,72346952,72553145,72746525,73196189,73686554,73776321,73873230,74234525,74351834,74882857,74886297,74902274,74973561,75038024,75069110,75440589,75491537,75709352,75715524,75883994,76222985,76355276,76380104,76448856,76746842,76784982,76961114,76987582,77398841,77636230,77655692,77812442,78121905,78549794,78798112,78872175,78875860,79176194,79261881,79333464,79383842,79725224,79801876,80042252,80355777,80550830,80597409,80617634,80838264,81025161,81038670,81109044,81111350,81390321,81730394,82016972,82429442,83219714,83283774,83330032,83331069,83415842,83611457,83825169,83984110,84130320,84369649,84417777,84786878,85063030,85173021,85247276,85535234,85539972,85887065,85910734,85927617,85928012,86004963,86101154,86441248,86510252,86584372,86704076,87063774,87295830,87381452,87775805,87864332,88265345,88647876,88827692,89081430,89250147,89345121,89690877,89739008,89741474,89810225,90082932,90266732,90528794,90553676,90615554,90943047,91467582,91653545,92068442,92078781,92269292,92487842,92500161,92631721,92637905,92744012,93115552,93163476,93315842,93407276,93479714,93746286,93784065,94120737,94209997,94444600,94646610,94651032,94823276,94928642,95020192,95151901,95581352,95896372,95950892,95997057,95999937,96254234,96330914,96458525,96512972,96660996,96851414,97089794,97246404,97333620,97612442,97826326,97834274,98128034,98312361,98491994,98708642,98852354,99147350,99493544,99531965,...,1269080069917496892463585288602429164632802499134724939479935294934064753115277399730768114645613793648529865621872977409609992645991262026347666337302406225665763049364854744569894177968632507699169788035631951127030574316140317951387390061798590260936465967165880800753906399642290158259571763013294262315704400178697710025673544271092919372129964393458220303553751580287875087112223606936309207764508250837152974550869876825233692963102425895343273327129078019896610014658162140017865740778377065585968106854841214673176346085807698209517631521214481886485135982726848691417107667671173122343860724178322300242351462961950225472921321599332763791866400523809251705105518610014475094810046847116242934234032506469437175730254584452630550300001665944098030055517299697050776412030130090563627779498506648017111801466838645297355979944293030770932354440065776606252288102385138037095342803516447321272319446157471922514829234034048685949260033753011510520179996850712594644766557240709090575324257054528908847608599966766891497081056667373014552925197165820017102047088322384168713750278501009583128864620957952845114179511987101519122992583281683927149535403181373410724707443005346628197590884743224058128015727314834461044583971995472198186692204881216567417336489402055491483325652311847691649203293945232772640377709890989573298625792406379748582497187949720137778843365269323917748252719285561286899756390188794472818105924096430201399097763505453021691423621670223196176043515422917320818871541011460409463927644838343395573293468568924107083537993036704288724370363752384902185771288806319955249533467316119438038864920054129313414700392566172944580912756034188304320535505751974383458111864083199504740029937153233422269861797139689959709538864197292585177311231954927965368426635686126904407163219892628239605634925933332107275223391733284059946245431284397660029189409891875700246562817497710905703609542335173743503548169867284808883748178013884142582450066753717159146279958214013397342093096624564422266579780936308089071148834294888165779439532193360406344418678661624513888413609593416983221560472400062166329340718206513400057821030253691689950012526420823702126495012409585409926973577295654841053151154412476460053092674393693194968889426839018798644138187789379445471759785720189707833956904499674792894221736766147174063580341509604481586883342074537529146251011791352609427453276566310010844605721842721892164}
15281   930071893565342991869506948509848103293449648714878842065713296: {61108,320691,381775,458130,488672,534415,549756,641298,763450,869763,916140,977216,992095,1099368,1175251,1190514,1236789,1297015,1556418,1678930,1691751,1846339,2014716,2777138,2784711,2991548,3275095,3602163,3930114,3967340,4273640,4371871,4489015,4699772,4760808,4807845,4861879,5009683,5128368,5355909,5386818,5723625,5769414,5959231,6105200,6199831,6245530,6305095,6312963,6614594,6713960,6758215,6868350,7121991,7156690,7202371,7326240,7494636,7553205,7566114,7814095,7814656,8027791,8056752,8109858,8115991,8242020,8393383,8588028,8791488,8871511,9063846,9376914,9449420,9577783,9619615,9890424,10370215,10520215,10727311,10856851,11004002,11126727,11215365,11339304,11543538,11870419,11963056,11992351,12158383,12375692,12444258,12624258,12756717,13351625,13458438,13734754,13865731,14349631,14516383,14555095,14842371,15001615,15019738,15324730,15533378,15630663,15781388,16021950,16116514,16189591,16784095,16803458,17090080,17131930,17466114,17660083,17679560,18001938,18178039,18228236,18244263,18287311,18333308,18337951,18389676,19073750,19226340,19691372,19742095,19889505,20140914,20165971,20312818,20319591,20508096,20558316,20625043,20737690,20791183,21088951,21215472,21815299,21950095,22124163,22190540,22544840,22582028,22888500,22977415,23071608,23135299,23360863,23690514,23867406,23918151,24004940,24173571,24414400,24555596,24783319,24800371,24864578,24885228,25172215,25228690,25362945,25549519,25657543,25778311,25901815,25955559,25995223,26124730,26190440,26339095,26340114,26476658,26546911,26628648,26948311,27015583,27053808,27086851,27466200,27572898,28229815,28805928,28808530,28836314,28955215,29093959,29247074,29276911,29296748,29297280,29464245,29534815,29701690,29714179,29957229,30206658,30215612,30274428,30403015,30435534,30847784,30899475,31082178,31194098,31250432,31349676,31428528,31606914,31735731,31965794,32008471,32135095,32260040,32406669,32524903,32663191,32680783,32784271,32959440,33001351,33189583,33286615,33548083,33824191,33875778,34292095,34570236,34703757,34746258,34761343,34961192,35156736,35231282,35237192,35294588,35357094,35438815,35441778,35642028,35688994,35874812,35934663,36292545,36483618,37079370,37157763,37190348,37436191,37582015,37661059,37889031,37978543,38240594,38562114,38579095,38593690,38681378,38712048,39331341,39516499,39551328,39641841,39859471,39922771,39943938,40312551,40320583,41150514,41209868,41417095,41555624,41680231,41829199,41844871,41993378,42128738,42406615,42441751,42526578,42714471,43165160,43500991,43535095,43551054,43624834,44197651,44382631,44490194,44494508,44495244,44520415,44781331,44806652,45098418,45250063,45363415,45604834,45665420,45913498,45942728,45990931,46271372,46294914,46312428,46410391,46559431,46750077,46823025,47045095,47324815,47413690,47416172,47431519,47646271,47801551,47922663,48363218,48560805,48799916,48942031,49000471,49106479,49557891,49579112,49610503,49700514,49835095,49944560,49988978,50420840,50714594,50809171,50887938,51297283,51496951,51529821,51685569,51798192,51798668,52008691,52017391,52062874,52242114,52332415,52466611,52566663,52790012,52885615,53024911,53254568,53300095,53424498,53714163,53714215,53804191,53836711,53990095,53995111,54392899,54436098,54529711,54564439,54629420,54720332,54798504,54954415,55481074,55529852,55776501,56054095,56092556,56183714,56187630,56454114,56467905,56723445,56789778,56896428,56961091,57014215,57032530,57381583,57437234,57444679,57698815,57930514,57964531,57975223,58202458,58250163,58272966,58871240,58889852,59537791,59746615,59802114,59882815,59911389,59927383,59933472,59990540,60040371,60232432,60471151,60505008,60563215,60930291,61122391,61345025,61514095,61595463,61613071,61648317,61785415,62080579,62690599,62718931,62765551,62798898,62937512,63045452,63084812,63262711,63303583,63353554,63428863,63462738,63557420,63798663,63815215,63923551,63960114,63973330,64060471,64197032,64455411,64457058,64788114,65163415,65246743,65545671,65555304,65587159,65610319,65658271,65701330,65739991,65945298,65980263,66101960,66127279,66230145,66245683,66641815,66832591,66892749,67120616,67264914,67393474,67425156,67620439,67761486,68068134,68152316,68241391,68249095,68287930,68417058,68439036,68448259,68948348,69009583,69219308,69238578,69416781,69617731,69751519,69759571,70250095,70645488,70703751,70733481,70804701,71410663,71573791,71618899,71695938,71859378,71988648,72221661,72251971,72449420,72584530,72675858,72816231,72889905,72913778,73200919,73249171,73565095,73614030,73749717,73816914,74135683,74142498,74298130,74364705,74464951,74563378,74907111,75115011,75243103,75388268,75510693,75530163,75636092,75636314,75936415,76268904,76315699,76577383,76578258,76638631,76767996,76863130,77501671,77749232,77788471,78002931,78060583,78084691,78164095,78196098,78243943,78261082,78455071,78476851,78521632,78841596,79078015,79192531,79227651,79322352,79328360,79469095,79476174,79554271,79634225,79821379,79869122,79970178,80039811,80307631,80549383,80646663,80857951,80987229,81078019,81202316,81476108,81705811,81898914,81945516,81949052,81973690,82146199,82639025,82819653,82923874,83142668,83239231,83332423,83422879,83633683,84005095,84048771,84128360,84143491,84149458,84206525,84300114,84596732,84839491,84849992,84869779,84999057,85097731,85241914,85263116,85628163,85751191,85802517,86060599,86870863,86939304,87056851,87101436,87467886,87531794,87635750,88278114,88336836,88345459,88552263,88579772,88588291,88742842,88959991,89157756,89237646,89244405,89328883,89341545,89383615,89510815,89900211,90106039,90121160,90146551,90173683,90433690,90844712,91123698,91795138,91807491,91928671,92190919,92227532,92235756,92324419,92375463,92942383,93160783,93612668,93796914,93797530,93880551,94423831,94636690,94644405,94808131,94893618,94925864,94973683,95194032,95297648,95362914,95444095,95456241,95475130,95535391,95549599,95561070,96481191,96976759,97032963,97069615,97089271,97217491,97582791,97660303,97806717,98368428,98497640,98594825,98832151,99166830,99207898,99325597,99449911,99656530,99752345,99848396,99881431,99964748,...,1903620104876245338695377932903643746949203748702087409219902942401097129672916099596152171968420690472794798432809466114414988968986893039521499505953609338498644574047282116854841266952948761548754682053447926690545861474210476927081085092697885391404698950748821201130859599463435237389357644519941393473556600268046565038510316406639379058194946590187330455330627370431812630668335410404463811646762376255729461826304815237850539444653638843014909990693617029844915021987243210026798611167565598378952160282261822009764519128711547314276447281821722829727703974090273037125661501506759683515791086267483450363527194442925338209381982398999145687799600785713877557658277915021712642215070270674364401351048759704155763595381876678945825450002498916147045083275949545576164618045195135845441669247759972025667702200257967946033969916439546156398531660098664909378432153577707055643014205274670981908479169236207883772243851051073028923890050629517265780269995276068891967149835861063635862986385581793363271412899950150337245621585001059521829387795748730025653070632483576253070625417751514374693296931436929267671269267980652278684488874922525890724303104772060116087061164508019942296386327114836087192023590972251691566875957993208297280038307321824851126004734103083237224988478467771537473804940917849158960566564836484359947938688609569622873745781924580206668265047903985876622379078928341930349634585283191709227158886144645302098646645258179532537135432505334794264065273134375981228307311517190614195891467257515093359940202853386160625306989555056433086555545628577353278656933209479932874300200974179157058297380081193970122050588849259416871369134051282456480803258627961575187167796124799257110044905729850133404792695709534939564308296295938877765966847932391948052639953529190356610744829838942359408452388899998160912835087599926089919368146926596490043784114837813550369844226246566358555414313502760615255322254800927213325622267020826213873675100130575738719419937321020096013139644936846633399869671404462133606723251442332248669159298290040609516628017992436770832620414390125474832340708600093249494011077309770100086731545380537534925018789631235553189742518614378114890460365943482261579726731618714690079639011590539792453334140258528197966207281684069168207639678580284561750935356749512189341332605149220761095370512264406722380325013111806293719376517687028914141179914849465016266908582764082838246}
15282   934242814853781772672045603580773840128018759934024577616778801: {76385,91662,167981,198497,289997,335918,350957,427588,518942,610840,624881,687195,733008,824634,855064,961947,1145175,1159684,1221520,1261517,1352177,1374210,1431902,1465824,1587352,1614062,1649052,1653857,1785771,2075224,2255668,2284781,2334627,2518395,2686288,2733281,2882381,3001517,3022074,3247022,3447137,3712948,3739435,3772781,3969038,4038497,4165707,4487322,4509038,4685297,4802884,4948781,4959175,5227022,5240152,5269937,5342050,5357357,5406158,5874715,5895171,5942702,5951010,6347744,6400781,6410460,6516077,6832481,6834062,6837824,7049658,7141212,7182424,7376717,7433837,7631500,7692552,7718957,7898942,7974881,8080227,8371697,8392450,8417284,8654121,8795117,8992097,9157800,9310718,9368295,9412877,9495988,9552737,9664481,9768320,9921891,9992848,10070940,10082381,10088152,10302525,10467674,10470797,10664417,10735035,10742336,10747277,10813144,10989360,11241954,11349171,11411102,11450704,11585198,11721984,11811775,11872481,11932958,12085128,12164787,12363030,12389357,12443597,12502552,12687281,12882042,13187232,13318238,13494881,13595769,13835342,14065371,14174130,14692781,14719217,14798477,14835636,14953820,15036878,15088481,15119072,15378878,15391384,15469615,15717857,15900557,15978737,16401422,16506003,16571342,16592344,16832344,16911281,17008956,17296781,17315307,17527217,17944584,17960717,18417197,18563538,18666387,18767198,18935102,18936387,18946481,19102862,19197281,19270478,19422317,19547057,19721357,19726735,19789828,20068781,20093537,20187657,20463917,20586977,20602131,20840884,20938718,20954957,21052781,21321137,21362600,21394157,21539981,21601982,21903281,22048097,22097918,22099450,22529607,22648397,22720097,22785295,22916635,22987095,23288152,23300067,23672082,23786957,24002584,24032925,24068717,24174771,24325684,24519568,24614215,24628781,24721022,24976481,25091981,25205187,25437281,25635120,25697895,26008781,26180318,26199171,26258657,26519340,26854552,26991811,27002907,27092788,27159137,27270797,27307262,27342354,27344128,27411088,27499962,27584514,27671117,27738175,27803981,27948062,28024781,28181050,28227535,28287296,28354481,28551437,28610625,28839510,29203277,29381438,29498884,29537058,29569457,29655281,29954657,30006175,30211371,30294881,30469227,30518000,30591043,30611981,30694495,30738317,30762144,30801377,30832543,30837474,30843377,31106535,31274462,31344881,31531757,31587352,31676657,31823208,31890868,32231428,32354477,32395277,32738050,32761037,32902577,33180304,33285810,33604397,33611582,33683981,33817260,33873042,33902177,33961517,34099697,34257137,34332750,34374881,34383422,34537358,34607412,34862381,34978637,35039059,35120152,35504864,35535771,35536481,35801109,35916302,35936237,35993057,36007410,36071744,36276077,36361171,36407537,36620935,36621600,36763864,36833394,36855281,37021997,37050871,37224881,37296867,37327842,37573037,37769515,37843035,37936397,37954481,38038142,38188622,38332397,38386097,38407904,38493281,38559730,38742257,39063040,39187095,39285660,39287981,39510171,39549281,39653297,39714987,39739757,39791537,39834398,39912077,39942972,40049357,40131758,40169057,40199887,40275544,40325050,40365904,40580712,40812017,40872638,40912481,40979297,41199300,41228717,41315438,41359347,41442904,41558477,41799568,41901281,41903822,41904704,41917517,41998577,42142552,42314308,42782078,43073678,43112417,43208892,43212795,43254471,43364702,43381723,43469837,43577777,43701490,43800158,43870611,43945122,43945920,44046490,44118235,44307377,44552535,44605937,44620781,44843515,45149837,45167704,45280481,45309987,45323418,45385742,45411642,45653301,45923981,46078817,46093648,46271676,46328344,46487935,46597747,46619981,46623267,46791147,46875648,47024514,47142792,47148977,47255704,47410371,47522704,47705057,47822381,47912884,47948691,48016481,48029357,48208781,48390060,48411917,48474977,48644824,48784718,48824417,49064222,49082381,49396877,49439160,49444781,49543684,49870157,50032781,50216717,50518708,50813667,51142142,51148781,51245297,51372977,51416152,51457457,51467981,51512335,51530957,51614477,51616064,51718157,51855354,51933281,51944530,51964238,51994097,52024397,52119387,52283981,52323437,52372577,52441788,52703378,52735104,52777457,52846923,52855788,52941882,52946657,53035641,53058017,53140781,53162667,53258584,53277281,53358317,53463042,53500781,53533491,53553677,53580017,53675981,53710637,53750068,53805281,53812218,53956450,53996798,54066797,54376877,54424781,54432737,54456557,54496097,54533342,54725427,54782477,54805217,54867352,54962381,55070323,55072481,55152077,55173617,55180781,55216481,55244897,55280237,55488077,55618135,55619055,55785522,55831277,55926257,55945037,55996958,56008315,56013281,56074481,56104781,56172403,56229857,56502497,56507981,56524862,56615981,56702104,56725937,56741357,56817377,56896481,56952628,56968781,57081775,57130481,57148337,57196781,57222797,57235697,57340397,57360891,57408737,57420557,57428410,57447857,57501281,57516257,57534797,57610481,57645281,57779597,57839215,57843171,57890535,57935981,57962381,57990497,57997997,58022067,58022477,58068072,58095437,58114481,58152557,58184177,58201697,58215137,58226477,58288781,58290017,58299617,58351757,58354382,58361777,58370957,58372337,58374881,58378157,58381517,58382381,58384877,58483982,58730539,59129822,59210671,59270215,59326992,59643902,59915907,60131224,60490243,60537998,60919022,60999895,61425038,61725771,61726552,61749904,61814802,61973890,62333436,62430700,62701474,62990067,63026050,63053678,63193107,63789867,63896884,63963367,64747740,64748335,65326581,65437251,65754398,65987515,66077188,66117278,66267352,66358478,66568210,66599102,66735291,66741762,66742866,66968954,67209978,67501291,67647627,67850584,68030578,68149118,68286775,68400415,68407251,68498130,68706428,68738798,68870247,68914092,68973662,69064256,69407058,69412315,69441662,69442371,69468642,69656152,69674798,69907358,70088884,70115695,70716782,71120535,71124258,71232664,71404958,71618884,71860862,72544827,72581464,72878222,73064672,73199874,73589050,73612315,73661438,73883918,74243743,74368668,74437598,74550771,74627527,74916840,74983467,74988175,75206702,75272152,75290540,75631260,75719704,75860318,75861904,76071891,76185182,76331907,76723742,77471678,77666884,77697288,77698002,78094311,78363171,78671890,78806815,78856015,79050638,79174051,79185018,79446775,79489123,79736152,79879502,79881852,79911296,80053828,80136747,80246290,80290478,80673344,81004142,81240388,81610238,81654147,81911342,81944130,82080498,82127284,82197756,82310798,82627450,83060131,83221611,83294778,83385442,83731864,83788238,83900770,84138834,84275571,84281445,84466622,84616984,84681171,85042478,85064884,85184667,85190395,85280152,85344642,85548795,85707758,85940548,85942744,86155851,86185435,86384152,86504587,86524135,86645918,86895771,87201902,87303687,87394228,87407072,87409449,87752702,87927064,87973684,88306860,88334778,88479038,88928318,89190332,89196158,89217271,89582479,89686552,89703171,89900208,89985810,90254558,90341822,90348648,90515918,90561775,90757512,91222744,91252048,92318104,92555708,93223118,93448099,93795662,94193984,94198347,94235335,94271668,94311308,94406268,94545115,94568178,94627218,95030331,95194107,95336130,95594584,95627198,95705102,95812504,95940171,95959995,95984864,96015278,96295548,96685587,96780638,96901144,97088308,97164403,97182171,97186540,97605902,98152040,98332956,98422552,98551995,98847038,98856664,98917947,99133022,99152940,99160450,99204158,99345998,99698078,99796634,99876148,...,2855430157314368008043066899355465620423805623053131113829854413601645694509374149394228257952631035709192197649214199171622483453480339559282249258930414007747966861070923175282261900429423142323132023080171890035818792211315715390621627639046828087107048426123231801696289399195152856084036466779912090210334900402069847557765474609959068587292419885280995682995941055647718946002503115606695717470143564383594192739457222856775809166980458264522364986040425544767372532980864815040197916751348397568428240423392733014646778693067320971414670922732584244591555961135409555688492252260139525273686629401225175545290791664388007314072973598498718531699401178570816336487416872532568963322605406011546602026573139556233645393072815018418738175003748374220567624913924318364246927067792703768162503871639958038501553300386951919050954874659319234597797490147997364067648230366560583464521307912006472862718753854311825658365776576609543385835075944275898670404992914103337950724753791595453794479578372690044907119349925225505868432377501589282744081693623095038479605948725364379605938126627271562039945397155393901506903901970978418026733312383788836086454657158090174130591746762029913444579490672254130788035386458377537350313936989812445920057460982737276689007101154624855837482717701657306210707411376773738440849847254726539921908032914354434310618672886870310002397571855978814933568618392512895524451877924787563840738329216967953147969967887269298805703148758002191396097909701563971842460967275785921293837200886272640039910304280079240937960484332584649629833318442866029917985399814219899311450301461268735587446070121790955183075883273889125307053701076923684721204887941942362780751694187198885665067358594775200107189043564302409346462444443908316648950271898587922078959930293785534916117244758413539112678583349997241369252631399889134879052220389894735065676172256720325554766339369849537833121470254140922882983382201390819988433400531239320810512650195863608079129905981530144019709467405269950099804507106693200410084877163498373003738947435060914274942026988655156248930621585188212248511062900139874241016615964655150130097318070806302387528184446853329784613777921567172335690548915223392369590097428072035119458517385809688680001210387792296949310922526103752311459517870426842626403035124268284011998907723831141643055768396610083570487519667709440579064776530543371211769872274197524400362874146124257369}
15283   938432291729479577429243683233603371617338513923333762353070622: {122216,137493,503877,534485,641382,748181,763550,778413,916260,977344,1068830,1099512,1236951,1282596,1388933,1449605,1526900,1739526,1815821,1832280,1954432,1984190,2061315,2147853,2182037,2198736,2350502,2381028,2421093,2473578,2594030,2819585,3112836,3357860,3383502,3692678,4029432,4533111,4585133,4641185,4870533,5197181,5554276,5569422,5745857,5953557,5983096,6003605,6284621,6550190,6660317,6730983,6763557,7204326,7327073,7840533,7860228,7934680,8013075,8109237,8511893,8547280,8743742,8827133,8914053,8926515,8972237,8978030,9399544,9461501,9521616,9539375,9615690,9723758,10019366,10251093,10256736,10484513,10521605,10574487,10704581,10711818,10773636,10939733,11447250,11538828,11848413,11869985,11918462,12204797,12210400,12399662,12491060,12588675,12610190,12625926,13202717,13229188,13427920,13467461,13516430,13588781,13736700,13966077,14028677,14243982,14313380,14404742,14518301,14652480,14728301,14989272,15049613,15106410,15132228,15628190,15629312,15701511,16055582,16113504,16219716,16231982,16327841,16386773,16484040,16786766,16862931,17116653,17176056,17311661,17377797,17582976,17743022,17899437,18127692,18544545,18692275,18753828,18854513,18898840,19133153,19155566,19239230,19323063,19780848,19977357,20377133,20396141,20495357,20740430,20753013,21002261,21040430,21261195,21324197,21454622,21483137,21713702,22008004,22253454,22430730,22555317,22678608,23068317,23087076,23412413,23497733,23740838,23926112,23984702,24316766,24602133,24737285,24751384,24857013,24888516,24971957,25115981,25248516,25498973,25513434,25781717,26051105,26431061,26703250,26795837,26876417,26916876,27341717,27469508,27638933,27731462,27787997,27845307,28150797,28402653,28654293,28699262,28905717,29032766,29110190,29289377,29508341,29670077,29684742,29793473,30003230,30039476,30046181,30407105,30649460,30705053,30730133,31066756,31261326,31408077,31562776,32011733,32043900,32168381,32233028,32379182,32402973,32685101,32994797,33146877,33149175,33153221,33568190,33606916,33865985,34180160,34263860,34611173,34932228,34956581,35116757,35241101,35320166,35359120,35508123,36003876,36262541,36356078,36456472,36488526,36525581,36574622,36666616,36675902,36779352,36873605,36874733,37081533,37158677,37828193,38147500,38452680,38601953,39270477,39382744,39484190,39521741,39779010,39847181,39863585,40281828,40289285,40331942,40537301,40625636,40639182,40960893,40982273,41013531,41016192,41116632,41249943,41250086,41348741,41376771,41475380,41582366,41922093,42177902,42271575,42430944,42564221,43259265,43630598,43713413,43900190,44072157,44248326,44305587,44381080,44989133,45064181,45089680,45164056,45777000,45954830,46143216,46256211,46270598,46601261,46701317,46721726,46767797,46911693,47381028,47734812,47836302,48008933,48009880,48341837,48347142,48370757,48828800,49107075,49111192,49454513,49566638,49600742,49604117,49614341,49729156,49770456,49928715,50158433,50344430,50417373,50457380,50725890,50809563,51099038,51315086,51499125,51501917,51556622,51575133,51803630,51806037,51870437,51911118,51990446,52249460,52380880,52614821,52678190,52680228,52892885,52953316,53031917,53093822,53257296,53874453,53896622,54010733,54011115,54031166,54107616,54173702,54369761,54699917,54932400,55145796,55250091,55991763,56414081,56459630,57057213,57282933,57289397,57611856,57617060,57672628,57839595,57910430,57983933,58187918,58494148,58553822,58593496,58594560,58928490,59069630,59369261,59403380,59428358,59751597,59891105,59914458,59935301,60197637,60347477,60413316,60431224,60487575,60548856,60806030,60860033,60871068,60949133,61047521,61308957,61406381,61695568,61798950,61929605,61973157,62164356,62328581,62388196,62500864,62699352,62855733,62857056,63148385,63213828,63471462,63508781,63931588,63931997,64016942,64173117,64270190,64282517,64520080,64610517,64813338,65047053,65049806,65326382,65361566,65552235,65568542,65700237,65748677,65863133,65917683,65918880,66002702,66069735,66254741,66379166,66542237,66573230,67041773,67096166,67187585,67317653,67458497,67648382,67751556,67985127,68003861,68078613,68117463,68584190,68774981,68934197,69018701,69140472,69407514,69492516,69522686,69769133,69922384,70313472,70462564,70474384,70536771,70589176,70687781,70714188,70877630,70883556,70918997,71190785,71284056,71335157,71377988,71596997,71749624,71869326,72083213,72235553,72585090,72967236,73177077,73265381,73367957,73596333,74039861,74122373,74158740,74315526,74380696,74620133,74872382,75164030,75199901,75322118,75586133,75778062,75957086,76481188,76648757,76713213,76936181,77124228,77158190,77187380,77362756,77424096,77512097,77695301,77783031,77916795,77946357,78038375,78465437,78475733,78662682,79032998,79055067,79102656,79118177,79168277,79283682,79412823,79718942,79819901,79845542,79871105,79887876,79994237,80120141,80194563,80625102,80641166,80665073,80718327,80778341,80893397,80934675,80995197,81800013,82301028,82419736,82596485,82834190,83111248,83360462,83640077,83645261,83658398,83678283,83689742,83835941,83986756,83995437,84257476,84296417,84640517,84787293,84788501,84813230,84883502,85053156,85388693,85428942,85528241,85883035,86119733,86142615,86330320,86499581,86510177,87001982,87070190,87102108,87244181,87249668,87260477,87354017,87531573,87611105,87664181,87725973,88004033,88395302,88694733,88765262,88913597,88980388,88989016,88990488,89040830,89176181,89341301,89465853,89523605,89562662,89613304,90025781,90196836,90258677,90500126,90726830,90806997,90965573,91209668,91228781,91330840,91378533,91826996,91885456,91890317,91981862,92137557,92542744,92589828,92624856,92722203,92820782,92861957,92960835,93118862,93160481,93298541,93428381,93500154,93591173,93646050,94052211,94090190,94113175,94334357,94539075,94580517,94649630,94827380,94832344,94863038,95292542,95456693,95548733,95603102,95819477,95845326,95916941,96482273,96561413,96688037,96726436,97083605,97121610,97205477,97599832,97884062,98000942,98212958,98241137,98350133,98631597,99115782,99148397,99158224,99175917,99221006,99401028,99537717,99670190,99772277,99852315,99889120,99898653,99977956,...,3807240209752490677390755865807287493898407497404174818439805884802194259345832199192304343936841380945589596865618932228829977937973786079042999011907218676997289148094564233709682533905897523097509364106895853381091722948420953854162170185395770782809397901497642402261719198926870474778715289039882786947113200536093130077020632813278758116389893180374660910661254740863625261336670820808927623293524752511458923652609630475701078889307277686029819981387234059689830043974486420053597222335131196757904320564523644019529038257423094628552894563643445659455407948180546074251323003013519367031582172534966900727054388885850676418763964797998291375599201571427755115316555830043425284430140541348728802702097519408311527190763753357891650900004997832294090166551899091152329236090390271690883338495519944051335404400515935892067939832879092312797063320197329818756864307155414111286028410549341963816958338472415767544487702102146057847780101259034531560539990552137783934299671722127271725972771163586726542825799900300674491243170002119043658775591497460051306141264967152506141250835503028749386593862873858535342538535961304557368977749845051781448606209544120232174122329016039884592772654229672174384047181944503383133751915986416594560076614643649702252009468206166474449976956935543074947609881835698317921133129672968719895877377219139245747491563849160413336530095807971753244758157856683860699269170566383418454317772289290604197293290516359065074270865010669588528130546268751962456614623034381228391782934515030186719880405706772321250613979110112866173111091257154706557313866418959865748600401948358314116594760162387940244101177698518833742738268102564912961606517255923150374335592249598514220089811459700266809585391419069879128616592591877755531933695864783896105279907058380713221489659677884718816904777799996321825670175199852179838736293853192980087568229675627100739688452493132717110828627005521230510644509601854426651244534041652427747350200261151477438839874642040192026279289873693266799739342808924267213446502884664497338318596580081219033256035984873541665240828780250949664681417200186498988022154619540200173463090761075069850037579262471106379485037228756229780920731886964523159453463237429380159278023181079584906668280517056395932414563368138336415279357160569123501870713499024378682665210298441522190741024528813444760650026223612587438753035374057828282359829698930032533817165528165676492}
15284   942640406084310866124403137254444817215135183990299909601910321: {106939,152770,183324,198523,335962,396994,579994,655363,671836,701914,855176,962073,1019539,1037884,1145325,1221680,1249762,1374390,1466016,1473139,1603245,1649268,1710128,1908625,1923894,2290350,2319368,2443040,2464723,2523034,2609289,2704354,2748420,2863804,2912563,2931648,2976285,3174704,3180403,3228124,3298104,3307714,3358603,3525753,3571542,3710367,3891045,4068523,4150448,4197325,4511336,4569562,4669254,5036790,5037139,5075253,5235209,5372576,5466562,5539017,5764762,5910139,6003034,6044148,6430483,6494044,6775939,6862123,6894274,6942845,7206139,7425896,7478870,7545562,7938076,8061139,8076994,8224601,8331414,8354133,8401123,8824483,8974644,9018076,9246043,9370594,9605768,9825285,9897562,9918350,10083763,10454044,10480304,10539874,10582939,10665883,10684100,10714714,10806489,10812316,10914283,11749430,11790342,11885404,11901403,11902020,12309643,12634939,12695488,12716083,12801562,12820920,13032154,13115613,13443139,13467045,13664962,13668124,13675648,14099316,14164363,14282424,14364848,14423535,14585637,14721283,14753434,14867674,15029049,15116923,15263000,15385104,15432139,15437914,15613825,15797884,15949762,16067727,16160454,16536485,16743394,16784900,16834568,16913683,17068123,17170875,17308242,17590234,17877693,17891725,17984194,18315600,18445123,18599493,18621436,18736590,18825754,18915285,18938889,18991976,19105474,19200043,19328962,19536640,19843782,19985696,20096443,20141880,20164762,20176304,20274645,20605050,20935348,20941594,21328834,21365973,21470070,21484672,21494554,21607113,21626288,21657461,21858139,21978720,22483908,22579939,22659615,22698342,22822204,22901408,23009563,23170396,23442285,23443968,23623550,23649139,23744962,23865916,24083373,24170256,24329574,24347973,24726060,24778714,24887194,25005104,25049539,25118803,25180149,25374562,25764084,26374464,26421139,26488963,26614533,26636476,26759539,26989762,27191538,27510005,27617429,27670684,27830323,28095139,28130742,28348260,28733349,28858845,29012923,29337283,29385562,29438434,29596954,29659843,29671272,29907640,29980603,30073756,30176962,30238144,30679939,30757756,30782768,30939230,31110645,31435714,31560645,31801114,31899413,31957474,31990843,32083289,32175523,32181933,32570553,32802844,33012006,33142684,33184688,33380181,33450139,33646095,33664688,33689323,33808483,33822562,34017912,34045939,34282243,34336885,34459901,34593562,34630614,34634539,34926139,35054434,35273683,35446483,35611257,35889168,35921434,35977053,36475149,36834394,37127076,37332774,37534396,37549345,37870204,37872774,37892962,37960723,38205724,38270151,38311825,38394562,38540956,38553139,38833445,38844634,39094114,39442714,39453470,39518549,39579656,39659923,39815443,39918763,40054875,40073203,40137562,40187074,40291285,40375314,40885939,40927834,40936123,41173954,41204262,41409797,41581963,41597193,41681768,41877436,41909914,41924683,42008645,42105562,42118939,42642274,42725200,42788314,42789763,42829825,42837139,42972293,43048893,43079962,43119883,43203964,43549149,43585363,43665285,43787393,43806562,43998139,44096194,44195836,44198900,44527113,44628643,44894539,45004845,45059214,45296794,45331939,45440194,45570590,45833270,45932203,45974190,46227043,46559683,46576304,46600134,46891989,47211139,47344164,47410939,47573914,47684375,48005168,48038203,48065850,48137434,48192139,48349542,48568773,48609523,48651368,48907603,49039136,49128139,49228430,49257562,49273723,49442044,49489939,49952962,50183962,50226283,50352285,50410374,50498443,50782045,50874562,51158683,51269309,51270240,51395790,51478003,51844225,51973939,52017562,52360636,52398342,52517314,52877321,52980249,53038680,53431723,53452597,53709104,53824843,53983622,54005814,54077923,54185576,54318274,54323803,54396163,54444043,54534117,54541594,54562483,54614524,54684708,54688256,54732789,54771139,54822176,54861933,54999924,55013853,55084123,55169028,55192483,55299043,55342234,55476350,55607962,55726939,55843363,55896124,56049562,56123083,56177083,56362100,56369539,56455070,56520523,56536939,56574592,56708962,56712763,56759203,56850139,56909323,57052243,57102874,57201139,57214243,57221250,57253123,57265939,57328939,57390139,57437803,57518443,57627523,57679020,57729403,57758563,57859939,57944539,57976363,57984139,58297123,58304683,58315483,58346803,58349539,58393603,58398643,58406554,58762876,58997768,59074116,59138914,59226285,59310562,59668515,59909314,60012350,60422742,60497913,60589762,60938454,60958773,61036000,61182086,61223962,61388990,61476634,61524288,61602754,61665086,61674948,61686754,61765529,61875129,62161445,62213070,62373549,62548924,62689762,62780921,63063514,63071725,63174704,63266853,63353314,63646416,63781736,64462856,64708954,64790554,65083109,65311825,65445897,65476100,65517133,65522074,65805154,65850285,66191645,66360608,66372489,66571620,67208794,67223164,67367962,67634520,67746084,67804354,67923034,68199394,68514274,68665500,68749762,68766844,68932245,69074716,69214824,69405897,69724762,69957274,70078118,70082589,70240304,71009728,71071542,71072962,71488469,71602218,71754453,71832604,71872474,71986114,72014820,72021325,72090785,72117269,72143488,72520713,72552154,72722342,72815074,73117685,73241870,73243200,73527728,73666788,73710562,74043994,74101742,74254225,74349957,74401113,74449762,74593734,74655684,74839729,75146074,75516645,75539030,75686070,75872794,75908962,76076284,76088835,76377244,76648557,76664794,76772194,76815808,76972629,76986562,77119460,77334933,77484514,77705445,77865389,77866677,77985245,77985669,78126080,78374190,78411641,78571320,78575962,79017285,79020342,79098562,79306594,79429974,79479514,79583074,79640733,79668796,79774253,79824154,79885944,79914485,80098714,80263516,80338114,80399774,80551088,80650100,80731808,80844933,80974901,81046749,81161424,81260553,81624034,81745276,81824962,81958594,82398600,82457434,82576021,82630876,82718694,82885808,82978301,83116954,83599136,83802562,83807644,83809408,83835034,83997154,84285104,84628616,84689445,85399853,85564156,86147356,86224834,86417784,86425590,86508942,86729404,86763446,86865645,86939674,87155554,87281877,87402980,87600316,87741222,87830733,87890244,87891840,88078205,88092980,88236470,88392735,88604445,88605913,88614754,89105070,89142537,89211874,89222485,89241562,89687030,89871687,90299674,90335408,90560962,90619974,90646836,90647669,90771484,90823284,91209045,91306602,91847962,92157634,92187296,92382521,92543352,92656688,92698425,92975870,93195494,93239962,93246534,93569333,93582294,93751296,94049028,94285584,94297954,94511408,94820742,95045408,95207193,95410114,95601485,95644762,95760581,95825768,95897382,96025413,96032962,96058714,96405285,96417562,96484225,96703445,96780120,96823834,96949954,97177241,97220007,97289648,97569436,97574709,97648834,97989573,98042349,98128444,98161973,98164762,98352813,98793754,98878320,98889562,99004053,99087368,99568749,99740314,99859845,...,5710860314628736016086133798710931240847611246106262227659708827203291389018748298788456515905262071418384395298428398343244966906960679118564498517860828015495933722141846350564523800858846284646264046160343780071637584422631430781243255278093656174214096852246463603392578798390305712168072933559824180420669800804139695115530949219918137174584839770561991365991882111295437892005006231213391434940287128767188385478914445713551618333960916529044729972080851089534745065961729630080395833502696795136856480846785466029293557386134641942829341845465168489183111922270819111376984504520279050547373258802450351090581583328776014628145947196997437063398802357141632672974833745065137926645210812023093204053146279112467290786145630036837476350007496748441135249827848636728493854135585407536325007743279916077003106600773903838101909749318638469195594980295994728135296460733121166929042615824012945725437507708623651316731553153219086771670151888551797340809985828206675901449507583190907588959156745380089814238699850451011736864755003178565488163387246190076959211897450728759211876253254543124079890794310787803013807803941956836053466624767577672172909314316180348261183493524059826889158981344508261576070772916755074700627873979624891840114921965474553378014202309249711674965435403314612421414822753547476881699694509453079843816065828708868621237345773740620004795143711957629867137236785025791048903755849575127681476658433935906295939935774538597611406297516004382792195819403127943684921934551571842587674401772545280079820608560158481875920968665169299259666636885732059835970799628439798622900602922537471174892140243581910366151766547778250614107402153847369442409775883884725561503388374397771330134717189550400214378087128604818692924888887816633297900543797175844157919860587571069832234489516827078225357166699994482738505262799778269758104440779789470131352344513440651109532678739699075666242940508281845765966764402781639976866801062478641621025300391727216158259811963060288039418934810539900199609014213386400820169754326996746007477894870121828549884053977310312497861243170376424497022125800279748482033231929310300260194636141612604775056368893706659569227555843134344671381097830446784739180194856144070238917034771619377360002420775584593898621845052207504622919035740853685252806070248536568023997815447662283286111536793220167140975039335418881158129553061086742423539744548395048800725748292248514738}
15285   946867240168681059257066432747520182242528208744266339110290017: {229155,244432,274986,503943,595491,748279,839795,869991,1007754,1052871,1068970,1282764,1297355,1496362,1527100,1556826,1832520,1846823,1874643,1954688,2029447,2061585,2137660,2199024,2473902,2565192,2578771,2777866,2885841,2899210,3053800,3435525,3479052,3579755,3631642,3664560,3784551,3908864,3947419,3968380,4035155,4056531,4122630,4295706,4364074,4397472,4701004,4762056,4842186,4947156,4961571,5188060,5357313,5639170,6142123,6225672,6497659,6715720,6767004,6854343,6870083,7003881,7385356,7555185,7872359,8058864,8117555,8199843,8405047,8647143,9004551,9066222,9170266,9282370,9741066,9922595,10160411,10341411,10394362,10613219,11108552,11138844,11218305,11272595,11318343,11491714,11907114,11966192,12007210,12115491,12497121,12569242,12805907,13067555,13100380,13320634,13355125,13461966,13515395,13527114,14055891,14408652,14423851,14654146,14730247,14846343,14856755,14877525,15603211,15681066,15720456,15809811,15869360,16026150,16072071,16218474,16617979,16857203,17023786,17085155,17094560,17453899,17487484,17624145,17654266,17685513,17828106,17853030,17944474,17956060,18799088,18845123,18923002,19043232,19078750,19202343,19231380,19348327,19447516,19548231,19747355,20038732,20497443,20502186,20513472,20969026,20981125,21043210,21072691,21148974,21409162,21423636,21547272,21879466,22130151,22301511,22795687,22811459,22894500,23077656,23156871,23276795,23696826,23739970,23836924,23924643,24240681,24409594,24420800,24799324,24982120,25115091,25177350,25220380,25251852,25962363,26169185,26385351,26405434,26458376,26855840,26934922,26976291,27032860,27177562,27473400,27577859,27751559,27932154,28057354,28102951,28104885,28238631,28487964,28527755,28626760,28658211,28729963,28737203,28809484,28962995,28993443,29036602,29304960,29456602,29682523,29765673,29832395,29978544,30099226,30212820,30247143,30264456,30907575,31059131,31256380,31258624,31403022,31412391,31543399,31689383,31993251,32111164,32205105,32227008,32241831,32439432,32463964,32655682,32671859,32773546,32968080,33295595,33573532,33710099,33725862,34047513,34233306,34277059,34352112,34588355,34623322,34632199,34755594,35165952,35219003,35240099,35435325,35486044,35509123,35617443,35798874,36255384,36471547,36494361,36521411,36530407,37089090,37168071,37330791,37384550,37507656,37592195,37709026,37797680,38061843,38266306,38311132,38447195,38478460,38646126,38993851,39372251,39561696,39954714,40484643,40754266,40787307,40792282,40990714,41003555,41312323,41428355,41480860,41506026,42004522,42080860,42196113,42453059,42522390,42569947,42648394,42871739,42909244,42966274,43427404,44016008,44078343,44157651,44168603,44395431,44506908,44861460,45110634,45265443,45357216,45589703,46136634,46174152,46408845,46824826,46917995,46995466,47007347,47092123,47153571,47337755,47412379,47445971,47481676,47701671,47757155,47852224,47936211,47969404,48176195,48633532,48955019,49204266,49474570,49502768,49518009,49714026,49777032,49943914,50231962,50497032,50733843,50997946,51026868,51563434,51592883,51623047,51890343,51945921,52102210,52155059,52346795,52581651,52862122,53406500,53591674,53752834,53833752,53882151,54004955,54683434,54939016,55244795,55248625,55251591,55272691,55277866,55462924,55575994,55690614,55809019,55999161,56301594,56404999,56805306,56809161,56839443,57050843,57308586,57398524,57591843,57811434,58065532,58220380,58266951,58578754,58641171,59016682,59164071,59180205,59340154,59369484,59586946,60006460,60078952,60092362,60206343,60280611,60562971,60814210,61055587,61298920,61391751,61410106,61460266,61760931,61802555,61806393,62096711,62133512,62522652,62735783,62816154,62864871,63125552,63158343,63368267,63963411,64023466,64077539,64087800,64182471,64336762,64466056,64619943,64758364,64805946,65277347,65370202,65450795,65709843,65989594,66144291,66293754,66298350,66306442,66406019,66640451,67050631,67136380,67213832,67588821,67705651,67731970,67945191,68160291,68268155,68355885,68360320,68527720,68749905,68961285,69222346,69864456,69870155,69900201,69913162,70101923,70233514,70370663,70452625,70482202,70640332,70718240,71016246,71053579,71360871,71855339,72007752,72098775,72206151,72271463,72524313,72525082,72712156,72912944,72977052,73051162,73149244,73333232,73351804,73453595,73558704,73747210,73749466,73842645,73886343,74050039,74163066,74317354,74929443,75116723,75275943,75615561,75656386,75671411,76093799,76254823,76295000,76311843,76905360,77093685,77203906,78026343,78186155,78264707,78540954,78597513,78765488,78775971,78968380,79043482,79077659,79484387,79558020,79694362,79727170,79842983,80130727,80563591,80563656,80570939,80578570,80663884,80675731,80975433,80996243,81008721,81074602,81251272,81278364,81279523,81477411,81727943,81812391,81845125,81921786,81964546,82027062,82032384,82233264,82499886,82500172,82697482,82753542,82950760,83013351,83164732,83214525,83411943,83844186,83847547,84028955,84074343,84355804,84543150,84549443,84574603,84682605,84856019,84861888,85063443,85128442,85654311,85831875,85958555,86343395,86518530,86701447,87261196,87426826,87609831,87663619,87800380,88144314,88407739,88496652,88611174,88708371,88762160,88965843,89166983,89790755,89863971,89978266,90018525,90109963,90128362,90171059,90179360,90328112,90634113,90884643,91407681,91554000,91773129,91835943,91909660,92083485,92214951,92286432,92404131,92497629,92512422,92530131,92541196,93013799,93202522,93319605,93402634,93443452,93535594,93823386,94034643,94062619,94595271,94762056,95005243,95029971,95095355,95469624,95471555,95590387,95672604,96017866,96019760,96399325,96683674,96694284,96741514,97063431,97185831,97235339,97657600,97985863,98214150,98222384,98271379,98283111,98394827,98707731,98909026,99133276,99201484,99208234,99228682,99458312,99477059,99540912,99585995,99667099,99857430,...,8566290471943104024129200698066396861271416869159393341489563240804937083528122448182684773857893107127576592947642597514867450360441018677846747776791242023243900583212769525846785701288269426969396069240515670107456376633947146171864882917140484261321145278369695405088868197585458568252109400339736270631004701206209542673296423829877205761877259655842987048987823166943156838007509346820087152410430693150782578218371668570327427500941374793567094958121276634302117598942594445120593750254045192705284721270178199043940336079201962914244012768197752733774667883406228667065476756780418575821059888203675526635872374993164021942218920795496155595098203535712449009462250617597706889967816218034639806079719418668700936179218445055256214525011245122661702874741772955092740781203378111304487511614919874115504659901160855757152864623977957703793392470443992092202944691099681750393563923736019418588156261562935476975097329729828630157505227832827696011214978742310013852174261374786361383438735118070134721358049775676517605297132504767848232245080869285115438817846176093138817814379881814686119836191466181704520711705912935254080199937151366508259363971474270522391775240286089740333738472016762392364106159375132612050941810969437337760172382948211830067021303463874567512448153104971918632122234130321215322549541764179619765724098743063302931856018660610930007192715567936444800705855177538686573355633774362691522214987650903859443909903661807896417109446274006574188293729104691915527382901827357763881511602658817920119730912840237722813881452997753948889499955328598089753956199442659697934350904383806206762338210365372865549227649821667375921161103230771054163614663825827088342255082561596656995202075784325600321567130692907228039387333331724949946850815695763766236879790881356604748351734275240617338035750049991724107757894199667404637156661169684205197028516770160976664299018109548613499364410762422768648950146604172459965300201593717962431537950587590824237389717944590432059128402215809850299413521320079601230254631490495119011216842305182742824826080965965468746791864755564636745533188700419622723049847893965450390291954212418907162584553340559989353841333764701517007071646745670177108770292284216105358375552157429066040003631163376890847932767578311256934378553611280527879209105372804852035996723171493424929167305189830250711462559003128321737194329591630113635309616822592573201088622438372772107}
15286   951112876593083681897160461405404009408026226918189543096328138: {213878,259573,305540,351049,366648,397046,412479,671924,793988,807349,898393,1159988,1310726,1343672,1403828,1511631,1603455,1710352,1714549,1908875,1924146,2039078,2075413,2075768,2244543,2255413,2290650,2335239,2443360,2499524,2672075,2704153,2748780,2932032,2946278,3206490,3298536,3420256,3507349,3710853,3817250,3847788,4039573,4166799,4348815,4580700,4638736,4745173,4886080,4929446,4960475,5046068,5183833,5218578,5408708,5447463,5496840,5727608,5794933,5825126,5863296,5876255,5952570,6183945,6229273,6349408,6360806,6443559,6456248,6485075,6546111,6575449,6596208,6615428,6717206,7051506,7143084,7263279,7420734,7435849,7782090,8137046,8289049,8300896,8373973,8394650,8458755,8628313,9022672,9050773,9139124,9231695,9338508,9471433,9555349,9639193,9719983,10073580,10074278,10150506,10470418,10745152,10805449,10933124,11078034,11529524,11547733,11820278,12006068,12088296,12121033,12447049,12860966,12988088,13551878,13599333,13724246,13755399,13788548,13885690,13923555,14059849,14412278,14611599,14851792,14957740,15091124,15591543,15722293,15876152,16122278,16153988,16375475,16449202,16662828,16708266,16802246,17237571,17276053,17648966,17860671,17889493,17949288,18010815,18036152,18042133,18422473,18492086,18741188,18853863,19102549,19211536,19552693,19650570,19776793,19795124,19836700,19980951,20167526,20192949,20290671,20519113,20908088,20960608,20961049,21079748,21165878,21331766,21368200,21429428,21612978,21624632,21828566,21859355,21981219,21982153,22343413,22445075,22702873,23151079,23203093,23487349,23498860,23521599,23580684,23770808,23802806,23804040,24039225,24122713,24309395,24327711,24543049,24619286,25048415,25269878,25306933,25390976,25432166,25535679,25603124,25641840,25993813,26064308,26231226,26266549,26481399,26742159,26779545,26875993,26886278,26916711,26934090,27329924,27336248,27345973,27351296,27679513,28198632,28328726,28384503,28564848,28618125,28729696,28847070,29171274,29190613,29255449,29442566,29506868,29735348,29796155,30058098,30219349,30233846,30526000,30753279,30770208,30852949,30864278,30875828,30999155,31227650,31453539,31525475,31564815,31595768,31723461,31727893,31899524,32113743,32135454,32320908,32405449,32819199,33072970,33315349,33486788,33569800,33669136,33791075,33827366,34136246,34341750,34616484,34854133,35180468,35545239,35609955,35755386,35783450,35968388,36004693,36011855,36287833,36456853,36513049,36614391,36631200,36890246,37071049,37198986,37242872,37473180,37621849,37651508,37676533,37766025,37830570,37877778,37983952,38111413,38210948,38380873,38400086,38514007,38657924,39070475,39073280,39545113,39608151,39687564,39959833,39971392,40062793,40138955,40192886,40283760,40318933,40329524,40352608,40402383,40549290,40579955,40766343,41210100,41870696,41883188,41898231,41966915,42086031,42415703,42657668,42731946,42940140,42969344,42989108,43214226,43252576,43314922,43392073,43554903,43623733,43669849,43716278,43957440,44127049,44184903,44357555,44532373,44967816,45148839,45159878,45194953,45238549,45319230,45396684,45644408,45670549,45802816,46019126,46053193,46340792,46677973,46760053,46884570,46887936,46963993,47104533,47125849,47247100,47298278,47485813,47489924,47565013,47731832,47878933,47888915,48071639,48098075,48166746,48340512,48451139,48659148,48695946,48830233,48938851,48983523,49160319,49452120,49557428,49594549,49630153,49774388,50010208,50099078,50237606,50258713,50327113,50360298,50588793,50749124,51125449,51286549,51349959,51528168,51634633,51851075,51934983,52133391,52185433,52215349,52569083,52601075,52748928,52826953,52842278,52977926,53229066,53272952,53379913,53519078,53636555,53698311,53749849,53904073,53979524,54284255,54366823,54383076,54471253,55020010,55044553,55066549,55197013,55234858,55261273,55341368,55633635,55660646,55810453,55868233,56074549,56076825,56190278,56261484,56407799,56494453,56563539,56576713,56657173,56673049,56696520,56751349,56989813,57138983,57399459,57447193,57466698,57505333,57717690,57797653,57807049,57861913,57888373,57969189,58018549,58025846,58055449,58212949,58258633,58329013,58371349,58380853,58402453,58408393,58411849,58415449,58674566,58771124,58812103,58876868,59193908,59319686,59342544,59352095,59815280,59932071,59961206,59961755,60147512,60353924,60476288,60791915,61131399,61188423,61359878,61486071,61515512,61565536,61878460,62221290,62259039,62871428,63006783,63121290,63171251,63602228,63783585,63798826,63914948,63972591,63981686,64166578,64351046,64363866,64449411,65141106,65605688,66024012,66285368,66369376,66758125,66760362,66900278,67292190,67329376,67378646,67616966,67645124,67665951,68035824,68091878,68171279,68564486,68673770,68919802,69187124,69204951,69261228,69269078,69328655,69852278,70108868,70237239,70493199,70547366,70892966,71094863,71222514,71748155,71778336,71842868,71954106,72581915,72775475,72950298,73225031,73668788,73806399,74211855,74254152,74571039,74665548,74915871,75008075,75068792,75098690,75347943,75740408,75745548,75785924,75921446,76411448,76496919,76540302,76623650,76789124,77081912,77106278,77345151,77429339,77666890,77689268,78153315,78188228,78885428,78906940,79037098,79159312,79293183,79319846,79630886,79837526,80109750,80146406,80275124,80374148,80387511,80582570,80629251,80750628,80947955,81771878,81855668,81872246,82025151,82347908,82408524,82819594,82916799,83163926,83194386,83363536,83363991,83535921,83644403,83754872,83819828,83849366,83920475,84017290,84211124,84237878,84452391,85207959,85284548,85450400,85576628,85579526,85659650,85674278,85944586,85962879,86097786,86159924,86239766,86407928,86539079,86717151,87026023,87098298,87170726,87330570,87574786,87613124,87868131,87996278,88192388,88270919,88300415,88391672,88397800,88525023,89010231,89054226,89257286,89380419,89789078,90009690,90118428,90138543,90593588,90663878,90880388,90890195,91141180,91221315,91436555,91666540,91689755,91864406,91948380,92115159,92190399,92290847,92454086,92668303,93119366,93152608,93200268,93783978,94224231,94422278,94688328,94821878,95147828,95368750,96010336,96035199,96076406,96131700,96274868,96384278,96505143,96699084,97137546,97208919,97219046,97302736,97589843,97815206,98055303,98078272,98256278,98456860,98515124,98547446,98710475,98884088,98979878,98984391,99440631,99447525,99459663,99905924,...,11421720629257472032172267597421862481695222492212524455319417654406582778037496597576913031810524142836768790596856796686489933813921358237128997035721656030991867444283692701129047601717692569292528092320687560143275168845262861562486510556187312348428193704492927206785157596780611424336145867119648360841339601608279390231061898439836274349169679541123982731983764222590875784010012462426782869880574257534376770957828891427103236667921833058089459944161702179069490131923459260160791667005393590273712961693570932058587114772269283885658683690930336978366223844541638222753969009040558101094746517604900702181163166657552029256291894393994874126797604714283265345949667490130275853290421624046186408106292558224934581572291260073674952700014993496882270499655697273456987708271170815072650015486559832154006213201547807676203819498637276938391189960591989456270592921466242333858085231648025891450875015417247302633463106306438173543340303777103594681619971656413351802899015166381815177918313490760179628477399700902023473729510006357130976326774492380153918423794901457518423752506509086248159781588621575606027615607883913672106933249535155344345818628632360696522366987048119653778317962689016523152141545833510149401255747959249783680229843930949106756028404618499423349930870806629224842829645507094953763399389018906159687632131657417737242474691547481240009590287423915259734274473570051582097807511699150255362953316867871812591879871549077195222812595032008765584391638806255887369843869103143685175348803545090560159641217120316963751841937330338598519333273771464119671941599256879597245801205845074942349784280487163820732303533095556501228214804307694738884819551767769451123006776748795542660269434379100800428756174257209637385849777775633266595801087594351688315839721175142139664468979033654156450714333399988965477010525599556539516208881559578940262704689026881302219065357479398151332485881016563691531933528805563279953733602124957283242050600783454432316519623926120576078837869621079800399218028426772801640339508653993492014955789740243657099768107954620624995722486340752848994044251600559496964066463858620600520389272283225209550112737787413319138455111686268689342762195660893569478360389712288140477834069543238754720004841551169187797243690104415009245838071481707370505612140497073136047995630895324566572223073586440334281950078670837762316259106122173484847079489096790097601451496584497029476}
15287   955377398329664216524691692338794825012124163832311360822665833: {15287,320817,381925,458310,488864,549972,595569,839905,992485,1007886,1175713,1190982,1449985,1496558,1679590,1739982,1754785,1816297,1966089,2015508,2105742,2137940,2182609,2565528,2594710,2853433,2886219,2992724,3054200,3058617,3113652,3124405,3435975,3665040,3693646,3749286,3909376,4058894,4123170,4275320,4398048,4419417,4809735,4947804,5011657,5130384,5157542,5555732,5649217,5725875,5771682,5798420,6107600,6307585,6760885,6871050,6958104,7159510,7205209,7263284,7329120,7394169,7513813,7569102,7817728,7827867,7894838,7936760,8062489,8070310,8113062,8119189,8245260,8269285,8591412,8728148,8737689,8794944,8928855,9303697,9402008,9524112,9541209,9581557,9684372,9875833,9894312,9923142,10075809,10376120,10577259,10714626,10861129,11130937,11131101,11278340,11364577,11423905,11673135,11861833,12205569,12284246,12451344,12591975,12958177,12995318,13431440,13534008,13666405,13689073,13708686,13710517,13740166,13871209,13891633,14007762,14411905,14770712,14868073,15007585,15110370,15111417,15225759,15705627,15744718,15781633,16117728,16235110,16399686,16449577,16617051,16810094,17191009,17235685,17294286,17730417,18009102,18093013,18132444,18294577,18340532,18345193,18564740,18697175,18863905,18921553,19291449,19482132,19845190,19922149,20192485,20320822,20327817,20586369,20682822,20788724,20799457,20828535,21163153,21226438,21428857,21618417,22217104,22271509,22277688,22436610,22545190,22636686,22814473,22983428,23144473,23426485,23814228,23919217,23932384,24014420,24183417,24230982,24673803,24743905,24795875,24810169,24994242,25020277,25062399,25138484,25203369,25611814,26005489,26135110,26200760,26349685,26473449,26641268,26710250,26786785,26923932,26958997,27030790,27054228,27646297,27738129,28093333,28111782,28817304,28847702,29288473,29308292,29373575,29460494,29475855,29692686,29713510,29755050,30251289,30822313,31206422,31270033,31362132,31440912,31619622,31738720,31748817,31997649,32003905,32021209,32052300,32144142,32419467,32436948,32580385,32587513,32742849,32797297,33003553,33014389,33235958,33561337,33714406,33714553,33962149,34047572,34162405,34170310,34189120,34907798,34974968,35248290,35308532,35371026,35656212,35704209,35706060,35754553,35888948,35912120,35916409,36636859,36737353,36883585,36925009,36928929,37169185,37451089,37598176,37675993,37690246,37830817,37846004,37904817,38086464,38148249,38157500,38301493,38404686,38462760,38594785,38612197,38696654,38895032,39040129,39096462,39346839,39385993,39494710,39874405,39938857,40077464,40329417,40401135,40548193,40994886,41004372,41026944,41765353,41858485,41861497,41938052,41962250,42086420,42145382,42297948,42493089,42647893,42818324,42847272,43094544,43270605,43432609,43756911,43758932,43975585,44163849,44215177,44260302,44603022,44960485,45087147,45350769,45412789,45591374,45622918,45789000,45921913,46155312,46296417,46313742,46323169,46553590,46613833,46841475,47064385,47393652,47479940,47673848,47763685,47779777,47849286,47885989,47915473,48203181,48290209,48322405,48423697,48481362,48819188,48841600,49054309,49467637,49598648,49609455,49925173,49964240,50171797,50230182,50249233,50354700,50411905,50440760,50479477,50503704,50550313,50741049,51204369,51512625,51924726,52338370,52353985,52629073,52770702,52810868,52916752,53322085,53633079,53675175,53711680,53736385,53826073,53869844,53952582,54065720,54109609,54355124,54551377,54714433,54946800,55155718,55335369,55378873,55503118,55727473,55798479,55864308,56114708,56205902,56209770,56292793,56477262,56611813,56613649,56745855,56816667,56975928,56983993,57055510,57253520,57316422,57404977,57459926,57474406,57600129,57618968,57925990,57946009,57986886,57999697,58073204,58609920,58657909,58913204,59058875,59362405,59365046,59531346,59664790,59931433,59957088,60047089,60075733,60198452,60247573,60289329,60425640,60494286,60528912,60823935,61070953,61637797,61815150,61946785,62105593,62118262,62217985,62512760,62517248,62790529,62806044,62824782,63086798,63287797,63378766,63436405,63701473,63986502,64097919,64222328,64410210,64454016,64483662,64821339,64878864,64927928,64972383,64976593,65311364,65343718,65547092,65574417,65591797,65685193,65936160,66153553,66215689,66272857,66414793,66591190,66860017,66886633,67147064,67420198,67446673,67451724,67474405,67647253,67739817,67978845,68095026,68466612,68554118,68704224,68754853,69028689,69176710,69246644,69264398,69511188,69645337,69779233,70326855,70331904,70438006,70480198,70609489,70697209,70870650,70947417,70972088,71018246,71234886,71597748,71616073,71864833,72063793,72250119,72510768,72943094,72988722,73042822,73043919,73052209,73060814,73085713,73230553,73278217,73285513,73463905,73521529,73596085,73992385,74142289,74178180,74336142,74661582,74769100,75015312,75148617,75184390,75356409,75418052,75442405,75442609,75540447,75595360,75606937,76123686,76532612,76622264,76894390,76956920,77292252,77342713,77348075,77516113,77819317,77965393,77987702,78589285,78744502,79123392,79139173,79263417,79466889,79494889,79502785,79586197,79843599,79893685,79909428,80278617,80551129,80890129,80969286,81508532,81574614,81584564,81981428,82007110,82178773,82530015,82600129,82624646,82680433,82852287,82856710,82961720,83012052,83165329,83251813,83490969,83662273,84009044,84061753,84161720,84176857,84285417,84392226,84556405,84874009,84903433,84906118,85044780,85139894,85296788,85411729,85743478,85818488,85932548,86043493,86094793,86200047,86483905,86523577,86576535,86594713,86670049,86854808,87038769,87636085,88011849,88030777,88032016,88156686,88315302,88337206,88380913,88774309,88790862,88979529,88995337,89013816,89722920,89803585,89941809,90049873,90221268,90226153,90530886,90559669,90714432,91117609,91179406,91631113,91678729,92039817,92085985,92273268,92348304,92817690,93197857,93294553,93331935,93649652,93835990,93990932,94014694,94184246,94307142,94359889,94461877,94675510,94681935,94732405,94824758,94891942,94963352,95403342,95458873,95514310,95575417,95698239,95704448,95777209,95872422,95938808,95942713,95972529,95986405,96249867,96352390,96507877,96526569,96545799,96587569,96835129,96929257,97111585,97267064,97711659,97735285,97818217,97910038,97944913,98408532,98606785,98633675,98654833,98949073,98949140,99005536,99036018,99428052,99554064,99799513,99887828,99922069,...,17132580943886208048258401396132793722542833738318786682979126481609874167056244896365369547715786214255153185895285195029734900720882037355693495553582484046487801166425539051693571402576538853938792138481031340214912753267894292343729765834280968522642290556739390810177736395170917136504218800679472541262009402412419085346592847659754411523754519311685974097975646333886313676015018693640174304820861386301565156436743337140654855001882749587134189916242553268604235197885188890241187500508090385410569442540356398087880672158403925828488025536395505467549335766812457334130953513560837151642119776407351053271744749986328043884437841590992311190196407071424898018924501235195413779935632436069279612159438837337401872358436890110512429050022490245323405749483545910185481562406756222608975023229839748231009319802321711514305729247955915407586784940887984184405889382199363500787127847472038837176312523125870953950194659459657260315010455665655392022429957484620027704348522749572722766877470236140269442716099551353035210594265009535696464490161738570230877635692352186277635628759763629372239672382932363409041423411825870508160399874302733016518727942948541044783550480572179480667476944033524784728212318750265224101883621938874675520344765896423660134042606927749135024896306209943837264244468260642430645099083528359239531448197486126605863712037321221860014385431135872889601411710355077373146711267548725383044429975301807718887819807323615792834218892548013148376587458209383831054765803654715527763023205317635840239461825680475445627762905995507897778999910657196179507912398885319395868701808767612413524676420730745731098455299643334751842322206461542108327229327651654176684510165123193313990404151568651200643134261385814456078774666663449899893701631391527532473759581762713209496703468550481234676071500099983448215515788399334809274313322339368410394057033540321953328598036219097226998728821524845537297900293208344919930600403187435924863075901175181648474779435889180864118256804431619700598827042640159202460509262980990238022433684610365485649652161931930937493583729511129273491066377400839245446099695787930900780583908424837814325169106681119978707682667529403034014143293491340354217540584568432210716751104314858132080007262326753781695865535156622513868757107222561055758418210745609704071993446342986849858334610379660501422925118006256643474388659183260227270619233645185146402177244876745544214}
15288   959660888713790693327714451472615279192560930187377490081951838: {168047,259607,290111,427756,442511,519146,611080,687465,702098,716327,733296,794092,824958,928847,1080407,1343848,1352711,1511829,1533887,1587976,1614698,1786473,1796786,1925447,2105711,2244837,2255711,2285687,2319976,2375567,2519385,2525207,2609973,2621452,2672425,2687344,2734367,2807656,2972927,3023262,3158613,3181247,3206910,3418847,3420704,3429098,3740905,3817750,3848292,3862967,3892065,4069607,4078156,4150826,4151536,4489086,4510826,4581300,4670478,4886720,4950767,4999048,5038487,5213711,5344150,5359511,5408306,5497560,5540469,5623929,5864064,5892556,5911727,5969687,6085511,6088341,6184755,6230111,6259007,6412980,6597072,6777767,6835247,6840512,6921407,6944665,7014698,7248025,7265327,7421706,7522511,7634500,7693607,7695576,7736313,7978127,8063327,8079146,8205167,8226757,8333598,8403407,8657523,8697630,9079105,9080111,9161400,9248567,9277472,9490346,9640511,9668447,9772160,9858892,9920950,10092136,10306575,10367666,10437156,10585847,10739265,10751711,10817416,10894926,10910185,10917287,10993680,11165111,11353653,11455216,11589866,11650252,11713511,11726592,11752510,11842257,11905140,11959247,12105465,12122711,12169593,12367367,12367890,12458546,12638447,12692567,12698816,12721612,12773687,12887118,12912496,12924373,12970150,13092222,13150898,13192416,13205111,13230856,13434412,13500527,13580927,13848407,14097925,14103012,14286168,14526558,14804711,14841468,14871698,14884713,15488927,15564180,15985511,16071939,16274092,16578098,16601792,16660367,16747946,16789300,16917510,16918487,17124407,17256626,17304167,17381087,17662511,17892047,17917511,18044711,18045344,18070127,18101546,18278248,18426369,18450407,18463390,18677016,18942866,19030007,19110698,19205567,19278386,19439966,19492977,19555511,19804511,20027927,20147160,20148556,20176511,20301012,20448167,20546711,20563029,20610249,20669711,20940836,21011643,21061967,21403511,21490304,21500807,21610898,21646511,21864527,21866248,21912887,21985367,22009511,22130111,22156068,22665555,22730111,22925665,23059048,23063927,23095466,23205925,23348807,23617077,23640556,24012136,24149711,24176592,24242066,24290087,24352665,24406847,24599529,24639767,24825527,24894098,25057007,25103207,25172447,25215141,25310711,25517567,25721932,25941429,25976176,25985905,25997711,26020487,26338511,26542127,26902511,27013653,27014711,27103756,27198666,27350111,27448492,27510798,27577096,27771380,27816647,27847110,28015511,28103687,28119698,28147727,28367447,28564511,28729285,28824556,29216711,29223198,29346287,29668967,29703584,29733287,29767785,29915480,29968511,30018025,30182248,30372527,30481233,30603097,30626207,30689447,30731567,30815711,30920711,31024233,31183086,31421927,31423105,31444586,31546511,31629407,31752304,31839657,32244556,32287967,32307976,32471711,32750950,32897927,32898404,33160007,33301585,33325656,33416532,33460727,33604492,33654915,33759647,33817785,33858887,33955029,33977711,34033153,34096247,34175111,34391327,34469711,34475142,34552106,34743047,34879127,34937327,34976087,35067781,35297932,35323487,35457887,35721342,35725511,35778986,35801687,35896727,35898576,36010511,36021630,36072304,36084266,36346473,36635365,36844946,36854711,36966047,36984172,37040111,37206287,37316711,37426847,37482376,37491363,37707726,38205098,38405111,38417721,38423072,38512367,38565887,38601527,38832407,39105386,39132287,39202665,39301140,39553586,39569087,39590248,39621167,39673400,39725111,39811511,39961902,39966527,40065375,40086647,40335052,40342727,40385898,40546185,40581342,40832711,40899767,40933247,40983407,41038226,41249711,41349047,41714617,41727167,41816176,41841407,41921216,41922098,42133367,42159496,42167673,42326567,42331756,42559465,42646007,42663532,42736400,42804527,42858856,42883487,42946511,43181711,43225956,43249264,43271553,43353047,43398817,43415111,43631327,43657132,43718710,43815407,43962438,43964306,44043887,44135665,44190741,44240447,44330711,44539029,44555111,44570265,44632575,44686826,44861185,44890150,44910407,45071711,45159287,45348047,45405746,45506711,45806927,45948647,46061447,46075511,46145711,46271567,46302158,46406186,46576487,46686407,46700111,46768511,46782167,46809633,46850327,46974698,46986047,46997720,47043198,47161368,47307505,47429433,47507711,47541616,47573711,47605612,47608080,47696875,47887727,48043007,48078450,48171527,48216213,48235487,48245426,48273767,48589967,48618790,48652607,48655422,48851711,49086098,49146527,49238572,49292207,49388687,49460711,49508567,49710527,49853937,49886807,49933511,50096830,50107511,50127649,50268287,50279711,50348087,50416597,50517767,50539756,50571609,50613866,50685647,50781952,50840711,50864332,51005111,51070367,51071358,51178487,51206248,51210767,51255465,51264407,51283680,51371087,51434711,51550607,51841247,51987626,51994367,52055111,52128616,52195727,52361697,52403711,52422565,52442927,52462452,52501511,52533098,52588847,52608025,52837511,52846967,52872435,52962798,53056539,53154527,53309567,53336687,53471207,53484318,53522905,53533367,53559090,53559887,53612711,53708807,53734847,53751986,53772556,53833422,53838287,53863967,53868180,53915111,53923607,54125111,54151273,54215927,54410711,54482567,54490511,54530111,54655487,54659848,54672496,54691946,54698665,54702592,54794087,54809327,54839711,54997127,55107407,55129247,55208711,55215887,55237367,55273007,55280111,55359026,55378727,55523711,55750967,55764047,55880327,55943807,55981511,56012711,56049887,56141567,56194537,56201687,56336927,56397264,56405807,56428511,56479127,56535369,56562047,56589287,56657452,56669807,56722487,56769006,56779511,56811937,56935007,56949647,57002711,57007487,57050111,57078167,57129696,57227327,57236087,57236250,57260437,57275111,57300767,57338711,57355367,57380111,57459392,57460511,57464447,57499511,57518711,57522527,57607029,57651047,57694140,57763247,57785927,57811367,57830111,57875711,57893447,57961511,57977807,57985847,58004327,58012127,58017287,58040111,58044981,58086167,58100111,58111511,58144511,58157207,58163447,58212647,58221887,58239767,58250111,58258511,58342548,58344887,58355111,58376447,58381226,58396511,58409711,58417511,58421327,58423847,58427711,58429367,58430711,58510898,58644693,58753681,58885132,59013736,59242065,59349925,59470696,59592310,60116196,60438698,60467692,61023985,61052000,61492329,61506558,61540416,61705898,61728556,61751656,61998310,62100577,62455300,62907078,62943375,63050950,63129630,63191536,63218073,63446922,63455786,63799048,64227486,64270908,64641816,64810898,65638398,66013585,66145940,66390453,66630698,66904533,66973576,67044481,67139600,67337305,67338272,67527889,67582150,67654732,67943905,68272492,68387061,68434377,68683500,69232968,69470613,69708266,69830385,70143385,70360936,71090478,71219910,71510772,71566900,71773929,71936776,72009386,72023710,72575666,72591505,72722043,72913706,73026098,73228782,73262400,73641505,73780492,74142098,74397972,74485744,74656933,74946360,75091177,75243698,75248065,75303016,75345273,75353066,75532050,75661140,75755556,75967904,75997957,76222826,76421896,76761746,76800172,77028014,77315848,77887089,78140950,78146560,78507555,79090226,79156053,79216302,79375128,79919666,79942784,80125586,80277910,80385772,80566057,80567520,80637866,80659048,80705216,80804766,80928873,81098580,81159910,81532686,81639205,81933865,82420200,82733577,83092933,83254677,83741392,83766376,83796462,83933830,83946457,84172062,84308853,84314655,84715893,84831406,85108681,85315336,85463892,85583265,85880280,85938688,85974633,85978216,86189889,86211609,86428452,86505152,86538673,86558305,86629844,86784146,86888985,86980329,87109806,87247466,87339698,87432556,87914880,88254098,88369806,88715110,89047569,89064746,89297019,89497185,89935632,90297678,90319756,90389906,90477098,90638460,90741429,90793368,91288816,91341098,91605632,92038252,92106386,92681584,92722725,93177393,93355946,93461375,93484921,93520106,93769140,93775872,93927986,94209066,94237173,94251698,94272565,94494200,94596556,94630197,94971626,94979848,95068149,95130026,95463664,95665765,95757866,95777830,95979753,96143278,96196150,96333492,96615315,96681024,96725493,96902278,97060117,97318296,97391892,97660466,97877702,97967046,98015577,98320638,98655733,98904240,99114856,99189098,99260306,99548776,99886785,...,25698871415829312072387602094199190583814250607478180024468689722414811250584367344548054321573679321382729778842927792544602351081323056033540243330373726069731701749638308577540357103864808280908188207721547010322369129901841438515594648751421452783963435835109086215266604592756375704756328201019208811893014103618628628019889271489631617285631778967528961146963469500829470514022528040460261457231292079452347734655115005710982282502824124380701284874363829902906352796827783335361781250762135578115854163810534597131821008237605888742732038304593258201324003650218686001196430270341255727463179664611026579907617124979492065826656762386488466785294610607137347028386751852793120669903448654103919418239158256006102808537655335165768643575033735367985108624225318865278222343610134333913462534844759622346513979703482567271458593871933873111380177411331976276608834073299045251180691771208058255764468784688806430925291989189485890472515683498483088033644936226930041556522784124359084150316205354210404164074149327029552815891397514303544696735242607855346316453538528279416453443139645444058359508574398545113562135117738805762240599811454099524778091914422811567175325720858269221001215416050287177092318478125397836152825432908312013280517148844635490201063910391623702537344459314915755896366702390963645967648625292538859297172296229189908795568055981832790021578146703809334402117565532616059720066901323088074566644962952711578331729710985423689251328338822019722564881187314075746582148705482073291644534807976453760359192738520713168441644358993261846668499865985794269261868598327979093803052713151418620287014631096118596647682949465002127763483309692313162490843991477481265026765247684789970985606227352976800964701392078721684118161999995174849840552447087291298710639372644069814245055202825721852014107250149975172323273682599002213911469983509052615591085550310482929992897054328645840498093232287268305946850439812517379895900604781153887294613851762772472712169153833771296177385206647429550898240563960238803690763894471485357033650526915548228474478242897896406240375594266693910236599566101258868169149543681896351170875862637256721487753660021679968061524001294104551021214940237010531326310876852648316075126656472287198120010893490130672543798302734933770803135660833841583637627316118414556107990169514480274787501915569490752134387677009384965211582988774890340905928850467777719603265867315118316321}
15289   963963431445631046752857072042998172145044932347727085950908933: {15289,30574,534695,641634,763850,778719,916620,977728,992615,1053147,1099944,1175867,1191138,1237437,1389479,1679810,1984970,2015772,2029979,2351426,2381964,2422047,2456699,2579447,2695179,2899970,2993116,3189131,3276815,3359180,3372239,3479964,3509570,3632594,3932178,4031016,4211484,4275880,4365218,4374167,4534893,4810365,5097695,5131056,5143647,5189420,5706866,5726625,5772438,5985448,6108400,6117234,6203087,6226239,6227304,6248810,6733629,6766239,6871950,7005717,7330080,7365695,7387292,7498572,7818752,8016225,8032007,8112459,8117788,8246340,8397791,8515247,8550640,8796096,8830619,8838834,9465239,9543125,9619470,9895608,10023314,10210607,10260768,10315084,10522047,10708799,11111464,11132559,11298434,11451750,11543364,11576999,11596840,11671439,12118719,12215200,12323615,12440459,12500397,12615170,13046445,13207931,13521770,13742100,13916208,14235519,14319020,14410418,14526568,14562815,14633147,14658240,14788338,14881425,15027626,15138204,15323519,15551499,15635456,15655734,15789676,15873520,15902015,15993467,16124978,16140620,16226124,16238378,16342389,16393247,16490520,16538570,16793015,17182824,17384799,17456296,17475378,17571359,17589888,17628765,17857710,18551835,18607394,18687819,18804016,18861959,18975599,19048224,19082418,19132967,19163114,19330677,19340807,19368744,19455225,19638333,19726347,19751666,19788624,19846284,20151618,20176667,20316647,20342615,20404199,20503451,20752240,20986625,21010619,21154518,21429252,21722258,21789837,22261874,22262202,22307547,22556680,22729154,22847810,23147531,23346270,23421659,23723666,23949899,24129959,24411138,24568492,24867147,24902688,25010999,25121919,25183950,25185695,25376265,25509047,25884939,25916354,25990636,26113967,26176045,26409467,26862880,26887031,26962559,27068016,27152319,27332810,27352559,27378146,27417372,27421034,27480332,27594779,27695085,27742418,27783266,27798971,27963839,28015524,28269479,28414299,28666047,28823810,28917579,29159949,29519999,29541424,29550695,29736146,29805239,30015170,30220740,30222834,30451518,30717179,31398431,31411254,31489436,31563266,32150879,32152415,32235456,32416347,32470220,32797079,32799372,32899154,33166319,33234102,33426587,33620188,33879695,34310615,34382018,34471370,34588572,34624847,34641467,34643199,34714225,35460834,36018204,36030695,36186026,36264888,36363099,36589154,36681064,36690386,36889559,37129480,37341147,37394350,37501499,37680971,37727810,37843106,37843247,37982687,38529419,38582898,38815607,38964264,39004199,39690380,39844298,39960971,40305695,40384970,40641644,40655634,40797999,41123005,41172738,41266197,41365644,41577448,41598914,41657070,41770665,42005615,42179547,42326306,42452876,42807551,42857714,43236834,43638647,43834797,44122415,44221019,44350679,44434208,44543018,44555376,44805467,44873220,45090380,45273372,45589127,45612539,45628946,45966856,46230215,46288946,46435007,46774629,46786379,46852970,47166879,47628047,47628456,47827367,47838434,47864768,48028840,48366834,48461964,49126425,49347606,49487810,49591750,49620338,49988484,50040554,50124798,50276968,50406738,50418815,50991959,51188471,51223628,51324491,51329447,51637019,51712713,51828159,52010978,52036859,52270220,52401520,52699370,52914695,52946898,53282536,53329415,53420500,53573570,53582013,53668479,53847864,53917994,54023807,54032445,54032699,54061580,54108456,54126399,54422027,54571415,55267419,55287359,55292594,55476258,55824167,56186666,56223564,56418239,56561589,57070247,57307647,57312431,57634608,57695404,57732839,58576946,58601879,58616584,58658079,58747150,58920988,58951710,59330379,59385372,59427020,59507015,59510100,59570747,59741279,59942853,60502578,60578847,60872013,60952751,61548215,61557339,61565819,61582007,61644626,61963007,62412844,62540066,62724264,62881824,62883147,62944679,63174695,63186479,63239244,63296159,63477440,63497634,63580415,63995298,64007810,64042418,64104600,64218887,64288284,64838934,64873896,65160770,65175026,65447759,65485698,65578065,65594594,65890139,65943657,65946459,66007106,66028778,66471916,66869159,66895631,66909047,67030239,67122674,67215695,67335225,67344719,67428812,67429106,67651367,67656191,67924298,68095144,68108619,68255771,68324810,68340620,68378240,68481647,69453237,69609279,69654539,69815596,69949936,70462047,70496580,70564797,70576667,70617064,70715867,70742052,70821815,70947119,71312424,71408418,71412120,71509106,71777896,71824240,71832818,72117675,72368139,72928185,72983133,73003031,73273718,73287899,73291487,73295579,73308479,73397519,73474706,73496567,73606415,73629147,73767170,73850018,73857858,74093759,74338370,74505167,74650919,74902178,75145245,75196352,75230939,75283559,75351986,75380492,75584615,75661634,75692008,75809634,75920799,76172928,76296498,76315000,76602986,76607037,76790519,76809372,76925520,77160695,77189570,77224394,77393308,77790064,77829599,77981439,78069125,78080258,78126107,78192924,78693678,78735047,78771986,78799647,78989420,79047839,79444197,79748810,79877714,80154928,80226477,80338635,80627979,80658834,80750133,80802270,81096386,81121931,81989772,82008744,82037919,82053888,82189631,82682425,83038539,83107367,83530706,83551247,83716970,83722994,83876104,83924500,84172840,84187979,84290764,84369287,84568415,84595896,84597047,84914651,84986178,85153509,85295786,85340615,85636648,85694544,85854375,86189088,86541210,86545199,86725499,86865218,86917031,87105179,87295079,87513822,87517864,87571839,87699887,87766347,87951170,88327698,88430354,88520604,88538159,88636427,88810967,88949279,89159447,89206044,89388465,89458625,89530127,89920970,90174294,90294539,90658047,90701538,90825578,91182748,91245836,91578000,91843826,91977527,92140919,92225615,92259837,92310624,92558847,92592834,92627484,92646338,92997465,93107180,93227666,93682950,93951371,94128770,94360617,94432571,94464167,94576425,94694445,94787304,94959880,95170383,95183679,95347696,95527370,95559554,95698572,95771978,95830946,96000215,96341229,96406362,96580418,96644810,96847394,96962724,97140767,97216347,97243151,97524347,97638376,97683200,97713239,98108618,98387339,98457597,98694767,98935274,99197296,99218910,99820871,99828479,99850346,99928480,99946047,...,34265161887772416096516802792265587445085667476637573365958252963219748334112489792730739095431572428510306371790570390059469801441764074711386991107164968092975602332851078103387142805153077707877584276962062680429825506535788584687459531668561937045284581113478781620355472790341834273008437601358945082524018804824838170693185695319508823047509038623371948195951292667772627352030037387280348609641722772603130312873486674281309710003765499174268379832485106537208470395770377780482375001016180770821138885080712796175761344316807851656976051072791010935098671533624914668261907027121674303284239552814702106543489499972656087768875683181984622380392814142849796037849002470390827559871264872138559224318877674674803744716873780221024858100044980490646811498967091820370963124813512445217950046459679496462018639604643423028611458495911830815173569881775968368811778764398727001574255694944077674352625046251741907900389318919314520630020911331310784044859914969240055408697045499145445533754940472280538885432199102706070421188530019071392928980323477140461755271384704372555271257519527258744479344765864726818082846823651741016320799748605466033037455885897082089567100961144358961334953888067049569456424637500530448203767243877749351040689531792847320268085213855498270049792612419887674528488936521284861290198167056718479062896394972253211727424074642443720028770862271745779202823420710154746293422535097450766088859950603615437775639614647231585668437785096026296753174916418767662109531607309431055526046410635271680478923651360950891255525811991015795557999821314392359015824797770638791737403617535224827049352841461491462196910599286669503684644412923084216654458655303308353369020330246386627980808303137302401286268522771628912157549333326899799787403262783055064947519163525426418993406937100962469352143000199966896431031576798669618548626644678736820788114067080643906657196072438194453997457643049691074595800586416689839861200806374871849726151802350363296949558871778361728236513608863239401197654085280318404921018525961980476044867369220730971299304323863861874987167459022258546982132754801678490892199391575861801561167816849675628650338213362239957415365335058806068028286586982680708435081169136864421433502208629716264160014524653507563391731070313245027737514214445122111516836421491219408143986892685973699716669220759321002845850236012513286948777318366520454541238467290370292804354489753491088428}
15290   968285110591737267224764778813503429548729199710367246269156187: {45861,198601,290149,336094,473029,519214,580222,855512,885022,962451,1038292,1110841,1145775,1222160,1374930,1404196,1432654,1466592,1473721,1564261,1588184,1649916,1786707,1857694,2160814,2285989,2519715,2687696,2705422,2977455,3003109,3023658,3067774,3175952,3229396,3448969,3527139,3572946,3593572,3741395,3850894,4158601,4198975,4211422,4349955,4489674,4511422,4571374,4599781,4639952,4751134,5038770,5050414,5219946,5237267,5242904,5264355,5344850,5374688,5448891,5468734,5476741,5615312,5898267,5945854,6046524,6259849,6317226,6362494,6413820,6486775,6519589,6547827,6837694,6841408,6858196,6864901,7481810,7635500,7696584,7723141,7725934,7784130,8139214,8156312,8301652,8303072,8489401,8560299,8658657,8912581,8978172,9021652,9162600,9175851,9234115,9340956,9373215,9669769,9722531,9773440,9901534,9998096,10076974,10147235,10307925,10427422,10587301,10670281,10688300,10719022,10753189,10816612,10995120,11001481,11080938,11247858,11413861,11728128,11742469,11785112,11823454,11939374,11988169,12171022,12176682,12314761,12369510,12396229,12460222,12518014,12710747,12721381,12825960,12893855,13194144,13258251,13555534,13670494,13681024,13842814,13850341,13889330,14029396,14250121,14409529,14429205,14496050,14530654,14806789,14843412,15034971,15045022,15202249,15269000,15274259,15387214,15391152,15472626,15517321,15831241,15956254,16126654,16158292,16410334,16453514,16667196,16806814,16947651,17177625,17315046,17395260,17898775,17920069,18072709,18158210,18160222,18322800,18497134,18528901,18554944,18922755,18980692,19281022,19336894,19544320,19717784,19737095,19841900,20175775,20179429,20184272,20282655,20475781,20613150,20735332,20874312,21065029,21171694,21478530,21503422,21503941,21615627,21634832,21649669,21789852,21820370,21834574,21867721,21987360,22012729,22157449,22182507,22330222,22541439,22589881,22661701,22707306,22910432,23019721,23091109,23179732,23300504,23375941,23427022,23453184,23483601,23505020,23684514,23730361,23810280,23918494,24012601,24187467,24210930,24245422,24339186,24357567,24734734,24735780,24807855,24917092,25130041,25199269,25276894,25385134,25397632,25443224,25547374,25774236,25824992,25848746,25940300,26024389,26184444,26213067,26301796,26384832,26410222,26461712,26500921,26568709,26786565,26868824,27001054,27161854,27696814,27843001,27911091,28041829,28174021,28195850,28206024,28572336,28623627,28744671,29053116,29609422,29627499,29673529,29682936,29737861,29743396,29769426,29994469,30227427,30630949,30710615,30757381,30977854,31128360,31322761,31634341,31731777,31971022,32095931,32143878,32488295,32497189,32548184,32583387,32923321,33156196,33203584,33320734,33392811,33393303,33495892,33578600,33705349,33765001,33835020,33836974,33884089,34062181,34093731,34121401,34248814,34271715,34350415,34475209,34513252,34608334,34762174,35001061,35019405,35290681,35325022,35521081,35585499,35784094,35835022,36089422,36090688,36092041,36140254,36203092,36380267,36556496,36616707,36852738,36879289,36900814,36926780,37212361,37322809,37354032,37597669,37775925,37885732,38060014,38221396,38411134,38518729,38556772,38838841,38874531,38879932,38985954,39111022,39156361,39361795,39609022,39731749,39835429,40055854,40220999,40294320,40297112,40353022,40587775,40602024,40896334,40906681,40956901,40999215,41007049,41067219,41093422,41126058,41131551,41220498,41339422,41356069,41613627,41652421,41674899,41750629,41848549,41881672,42023286,42025235,42123934,42189001,42669241,42807022,42859321,42980608,43001614,43189189,43221796,43235715,43293022,43608121,43729054,43732496,43825774,43838341,43970734,43992347,44019022,44021221,44066761,44260222,44312136,44473381,44604219,45022755,45181861,45331110,45334251,45460222,45529189,45677277,45829321,45851330,46083769,46118096,46127854,46190932,46293829,46411850,46419001,46622219,46697614,46708549,46790629,46872421,47116881,47234154,47236921,47281112,47344899,48024272,48064741,48299422,48353184,48484132,48580174,48674149,48705330,48813694,48934969,48971941,49192261,49199058,49279534,49348731,49409989,49481989,49553701,49612975,49651054,49788196,49851153,49907941,50114014,50117029,50206414,50289289,50344894,50425801,50430282,50527429,50621422,50695369,50802055,51035134,51091081,51220681,51285049,51289511,51381061,51443864,51571141,51573027,51707055,51882858,51952352,51971810,51995422,52035001,52040974,52364869,52453321,52677022,52857529,53054341,53066095,53084254,53191251,53437381,53490949,53544229,53754469,53805022,53857861,53934649,54027306,54029422,54086281,54136249,54207512,54279039,54397332,54430009,54454021,54501829,54620089,54700222,54828421,54883731,54896984,54964069,55021596,55035579,55140901,55154192,55227589,55249081,55291849,55542760,55583161,55633294,55694220,55762981,56031022,56031109,56091525,56159881,56207374,56239396,56249701,56295454,56355109,56362975,56491621,56574601,56591715,56734894,56764659,56797369,56812741,56888521,56962501,57020389,57063049,57129022,57200569,57253561,57292549,57305401,57458570,57477769,57535909,57569929,57649112,57668101,57770341,57780169,57846949,57874347,57978169,58026121,58064101,58100281,58114249,58179769,58279561,58324921,58391269,58394041,58433422,58434361,58436809,58440841,58443109,58444261,58445449,58446396,58692574,59241767,59337934,59407168,59466574,59535570,59583251,59766447,59830960,59937022,60036050,60364496,60522011,60577455,60745054,60962466,60983451,61206194,61252414,61378894,61463134,61631422,61759107,61789931,61841422,62048466,62366172,62398371,62485605,62805659,62843854,62846210,62889172,63093022,63258814,63489459,63504608,63679314,63996959,64029535,64286571,64489112,64575934,64615952,64855251,64943422,65337775,65501900,65795854,65796808,66230507,66320014,66603170,66651312,66775625,66814527,66833064,66921454,67208984,67309830,67519294,67576975,67635570,67717774,67910058,67955422,68066306,68192494,68350222,68443419,68782654,68939422,68950284,69104212,69433419,69486094,69758254,69874654,69952174,70135562,70279455,70595864,70646974,70915774,71442684,71451022,71557972,71603374,71757651,71793454,71797152,72021022,72043260,72119255,72144608,72168532,72550251,72692946,73270730,73391591,73651235,73689892,73709422,73932094,73968344,74021409,74080222,74231715,74283775,74387625,74412574,74430507,74633422,74853694,74932067,74964752,74982726,75060831,75187197,75415452,75541147,75610107,76410196,76578131,76810222,76835442,76846144,77024734,77131774,77203054,77664814,78016055,78016467,78210772,78264574,78405330,78602280,79049055,79107172,79138174,79180496,79242334,79346800,79420347,79450222,79623022,79805687,79923804,79933054,80130750,80173294,80360355,80670104,80685454,80771796,80876991,81092370,81162684,81665422,81799534,81866494,81966814,82076452,82499422,82608559,82698094,82938891,83089895,83214387,83429234,83454334,83632352,83682814,83842432,83844196,84266734,84279999,84286015,84318992,84335346,84653134,84663512,85118930,85292014,85327064,85425775,85433579,85472800,85609054,85717712,85766974,85893022,86363422,86451912,86498528,86543106,86706094,86797634,86830222,87262654,87269495,87314264,87437420,87630814,87865419,87924876,87928612,88087774,88120725,88271330,88381482,88427565,88480894,88640827,88661422,89078058,89110222,89140530,89265150,89373652,89722370,89780300,89820814,90143422,90318574,90696094,90753867,90811492,91013422,91613854,91897294,92122894,92151022,92291422,92419019,92466939,92543134,92604316,92812372,93152974,93372814,93400222,93537022,93564334,93619266,93700654,93810099,93949396,93972094,93995440,94086396,94225615,94272227,94322736,94615010,94858866,95015422,95083232,95121467,95147422,95211224,95214431,95216160,95246451,95393750,95775454,95992947,96011715,96063627,96086014,96156900,96343054,96432426,96470974,96490852,96547534,96741635,97179934,97237580,97258401,97305214,97310844,97703422,97741155,97762539,98172196,98200739,98228547,98293054,98391891,98477144,98584414,98736775,98777374,98921422,99010659,99017134,99043167,99421054,99707874,99773614,99867022,...,51397742831658624144775204188398381167628501214956360048937379444829622501168734689096108643147358642765459557685855585089204702162646112067080486660747452139463403499276617155080714207729616561816376415443094020644738259803682877031189297502842905567926871670218172430533209185512751409512656402038417623786028207237257256039778542979263234571263557935057922293926939001658941028045056080920522914462584158904695469310230011421964565005648248761402569748727659805812705593655566670723562501524271156231708327621069194263642016475211777485464076609186516402648007300437372002392860540682511454926359329222053159815234249958984131653313524772976933570589221214274694056773503705586241339806897308207838836478316512012205617075310670331537287150067470735970217248450637730556444687220268667826925069689519244693027959406965134542917187743867746222760354822663952553217668146598090502361383542416116511528937569377612861850583978378971780945031366996966176067289872453860083113045568248718168300632410708420808328148298654059105631782795028607089393470485215710692632907077056558832906886279290888116719017148797090227124270235477611524481199622908199049556183828845623134350651441716538442002430832100574354184636956250795672305650865816624026561034297689270980402127820783247405074688918629831511792733404781927291935297250585077718594344592458379817591136111963665580043156293407618668804235131065232119440133802646176149133289925905423156663459421970847378502656677644039445129762374628151493164297410964146583289069615952907520718385477041426336883288717986523693336999731971588538523737196655958187606105426302837240574029262192237193295365898930004255526966619384626324981687982954962530053530495369579941971212454705953601929402784157443368236323999990349699681104894174582597421278745288139628490110405651443704028214500299950344646547365198004427822939967018105231182171100620965859985794108657291680996186464574536611893700879625034759791801209562307774589227703525544945424338307667542592354770413294859101796481127920477607381527788942970714067301053831096456948956485795792812480751188533387820473199132202517736338299087363792702341751725274513442975507320043359936123048002588209102042429880474021062652621753705296632150253312944574396240021786980261345087596605469867541606271321667683167275254632236829112215980339028960549575003831138981504268775354018769930423165977549780681811857700935555439206531734630236632642}
15291   972626010586636377073405674191860052082063875731051309743450798: {30578,61148,504141,748573,778821,870333,1069390,1283268,1297865,1327533,1389661,1527700,1557438,1755245,1833240,1847549,1955456,1985230,2062395,2106294,2148981,2199888,2351734,2382276,2474874,2778958,2786541,2854181,3241221,3359620,3768973,3969940,4031544,4036745,4058133,4059958,4491965,4535487,4587541,4601661,4702852,4763928,4844094,4913398,5158894,5359419,5390358,5776341,5799940,5986232,6317133,6378262,6553630,6718360,6734511,6744478,6767133,6857061,6959928,7019140,7126701,7136773,7265188,7330921,7558155,7575621,7829919,7864356,7875461,8017275,8062032,8203101,8422968,8551760,8572745,8730436,8748334,8877341,8918781,8976949,9069786,9475839,9543741,9544375,9620730,10195390,10256541,10262112,10287294,10311973,10377065,10378840,10617401,11222715,11277065,11413732,11453250,11544876,11588901,11676195,11970896,12067081,12166373,12208821,12216800,12234468,12406174,12452478,12454608,12497620,12810953,13360375,13467258,13520765,13532478,13743900,14011434,14359061,14660160,14731390,14774584,14852301,14997144,15115461,15609373,15637504,15641133,16032450,16064014,16078533,16224918,16235576,16492680,16621407,16795582,16871787,17030494,17101280,17253061,17536745,17592192,17661238,17677668,17735181,17858621,17909061,18256533,18265023,18554265,18690333,18777021,18930478,19086250,19238940,19791216,20046628,20197865,20284261,20333301,20387941,20421214,20505741,20521536,20630168,20764221,20832073,20833995,21044094,21081013,21417598,21744075,21795981,21829709,22222928,22262821,22265118,22567533,22596868,22804693,22903500,23080821,23086728,23153998,23193680,23208939,23342878,23510221,23725865,23934381,24189981,24237438,24430400,24615501,24647230,24680271,24799709,24802375,24880918,25000794,25210221,25230340,25919165,25972569,26052041,26092890,26415862,27043540,27237315,27240333,27356173,27484200,27745701,27832416,28471038,28479661,28638040,28741309,28748621,28820836,28921533,28974665,29005341,29053136,29124281,29125630,29266294,29316480,29381275,29576676,29733869,29762850,30055252,30276408,30647038,30861961,30919725,31102998,31146365,31270912,31311468,31555861,31579352,31747040,31757541,31804030,31986934,32217795,32249956,32255133,32281240,32425375,32452248,32476756,32684778,32684861,32730555,32751861,32786494,32877245,32981040,33077140,33495333,33586030,34060959,34290601,34365648,34368181,34769598,34912592,34950756,35140533,35142718,35179776,35254073,35257530,35259973,35526771,35715420,35877741,36316395,36368133,36508779,36646463,37102101,37103670,37179245,37214788,37311221,37375638,37587341,37608032,37648573,37723918,37915341,37951198,38077701,38096448,38164836,38265934,38321061,38326228,38661354,38681614,38737488,38773119,38910450,39161513,39276666,39452694,39503332,39577248,39615333,39692568,39835501,40303236,40353334,40501581,40633294,40685230,40742781,40808398,41006902,41370973,41445245,41504480,41545221,41869865,41973250,42021238,42293775,42309036,42858504,42888773,43141565,43382149,43444181,43444516,43579674,44406569,44412041,44414133,44523748,44524404,44615094,44654139,45013381,45113360,45253865,45458308,45607781,45695620,46158475,46295062,46466781,46692540,46843318,47357165,47431573,47447332,47677781,47776745,47899798,47956533,48034861,48195965,48215817,48259918,48599915,48822276,48974501,49136984,49643273,49734294,49805376,49981101,50021998,50243838,50367900,50371390,50442973,50492873,50632301,50752530,50755461,51018094,51208949,51373221,51769878,51832708,51897949,51912501,51981272,52143261,52227934,52352090,52817213,52818934,52987533,53676141,53725760,53752533,53774062,53925118,54027245,54134133,54136032,54210381,54304638,54665620,54705118,54756292,54834744,54842068,54960664,55189558,55279107,55322489,55351221,55390170,55484836,55566532,55597942,55927678,56031048,56427973,56538958,56828598,56991013,57090021,57332094,57482669,57572207,57616701,57647620,57738665,57835158,58002941,58319898,58478931,58666533,58807861,59039998,59082848,59101390,59143061,59413533,59472292,59610478,60030340,60083781,60379549,60441480,60445668,60529533,60605165,60903036,61344501,61434358,61640133,61689087,61771381,61830747,62009133,62235245,62732009,62761061,62796862,62822508,62978872,63034929,63126532,63185901,63509429,63718589,64210533,64301758,64304830,64316941,64470912,64502421,64722301,64832694,64939533,64940440,65156389,65593581,65594158,65598744,65609273,65631269,65738661,65798308,65956101,66028533,66233261,66332638,66390333,66468204,66853174,67240376,67732873,67759390,67996665,68190333,68621230,68764036,68776995,68826949,68942740,69177144,69191781,69249694,69282934,69286398,69428450,69617775,70046421,70129721,70299245,70586341,70851231,70921668,70956493,71457833,72036408,72061390,72372052,72449133,72529776,72726198,72870261,73057995,73178308,73220541,73250309,73362128,73380772,73779118,73798587,73919301,74080573,74184653,74258960,74476581,74661181,74682294,74788700,75002998,75171021,75309621,75361942,75455620,75517341,75645423,75686212,75686494,75932133,75965374,76094381,76123973,76366109,76399981,76552701,77058838,77165796,77631214,77824287,77928528,77957715,77993133,78008398,78061461,78295853,78611465,79015533,79058473,79380760,79626381,79688596,79921942,80360741,80603273,80611390,80707533,80769940,81028361,81040959,81044133,81283288,81311268,81595998,81877375,82050333,82246010,82345476,82532394,82575781,82702829,82731288,83154896,83197828,83309821,83314140,83449941,83541330,84011230,84046533,84311061,84359094,84443181,84583829,84652612,84905752,85102341,85615102,85693533,85715428,85807901,86167501,86187855,86380265,86473668,86693141,87277294,87306613,87650133,87669594,88038861,88051561,88244830,88442038,88444573,88701358,88868416,89006901,89012581,89086036,89110752,89199861,89202341,89303355,89447465,89610934,89746440,89905533,90054075,90165629,90180760,90207821,90210665,90546744,91013821,91117581,91142381,91178254,91225078,91257892,91443699,91809291,91878621,91933712,92068341,92112365,92194701,92252009,92447133,92460430,92577892,92762133,92870014,92911309,93072699,93549258,93572758,93705940,94101973,94265781,94269315,94333758,94639533,94888221,95256094,95256912,95512745,95518971,95612789,95654734,95676868,95729536,95871373,96057680,96733668,96863901,96923928,96955301,97273973,97415133,97763465,98252850,98693781,98695212,98883965,98954413,98975620,99150541,99183500,99240676,99480021,99904755,99976968,...,77096614247487936217162806282597571751442751822434540073406069167244433751753102033644162964721037964148189336528783377633807053243969168100620729991121178209195105248914925732621071311594424842724564623164641030967107389705524315546783946254264358351890307505327258645799813778269127114268984603057626435679042310855885884059667814468894851856895336902586883440890408502488411542067584121380784371693876238357043203965345017132946847508472373142103854623091489708719058390483350006085343752286406734347562491431603791395463024712817666228196114913779774603972010950656058003589290811023767182389538993833079739722851374938476197479970287159465400355883831821412041085160255558379362009710345962311758254717474768018308425612966005497305930725101206103955325872675956595834667030830403001740387604534278867039541939110447701814375781615801619334140532233995928829826502219897135753542075313624174767293406354066419292775875967568457671417547050495449264100934808680790124669568352373077252450948616062631212492222447981088658447674192542910634090205727823566038949360615584838249360329418936332175078525723195635340686405353216417286721799434362298574334275743268434701525977162574807663003646248150861531276955434376193508458476298724936039841551446533906470603191731174871107612033377944747267689100107172890937902945875877616577891516888687569726386704167945498370064734440111428003206352696597848179160200703969264223699934888858134734995189132956271067753985016466059167694643561942227239746446116446219874933604423929361281077578215562139505324933076979785540005499597957382807785605794983937281409158139454255860861043893288355789943048848395006383290449929076939487472531974432443795080295743054369912956818682058930402894104176236165052354485999985524549521657341261873896131918117932209442735165608477165556042321750449925516969821047797006641734409950527157846773256650931448789978691162985937521494279696861804917840551319437552139687701814343461661883841555288317418136507461501313888532155619942288652694721691880716411072291683414456071100951580746644685423434728693689218721126782800081730709798698303776604507448631045689053512627587911770164463260980065039904184572003882313653063644820711031593978932630557944948225379969416861594360032680470392017631394908204801312409406982501524750912881948355243668323970508543440824362505746708472256403163031028154895634748966324671022717786551403333158809797601945354948963}
15292   976986216234428259831289229220761515002667766617296990485370999: {45867,76435,91722,351187,397202,442627,580298,672188,898747,946058,1038428,1160444,1604085,1711024,1770044,1909625,1924902,1986091,2076584,2221682,2291550,2336157,2444320,2749860,2808392,2865308,2884291,2933184,2947442,2977845,3128522,3159441,3176368,3299832,3527601,3573414,3597667,3712311,3715388,4168437,4199525,4321628,4571978,4962425,5039430,5237953,5273467,5375392,5410844,5878565,5954910,5971291,6006218,6047316,6089937,6135548,6351904,6458792,6664507,6837091,6897938,7054278,7095427,7145892,7187144,7249925,7266141,7370097,7482790,7524547,7695691,7701788,7738341,8085537,8317202,8377387,8397950,8422844,8699910,8716507,8773925,8979348,9022844,9081485,9142748,9199562,9279904,9502268,9559267,9567393,9643147,9830445,10077540,10100828,10116717,10228291,10439892,10474534,10485808,10528710,10689700,10749376,10809907,10897782,10913045,10937468,10953482,11223187,11230624,11796534,11891708,12093048,12519698,12634452,12696091,12724988,12827640,12927761,12973550,13039178,13095654,13122501,13604679,13675388,13682816,13716392,13729802,13905691,14206129,14267165,14431095,14940907,14963620,15271000,15293085,15393168,15430941,15446282,15451868,15568260,15622025,16278428,16312624,16603304,16606144,16978802,17120598,17179875,17317314,17667547,17825162,17956344,17973547,18043304,18051397,18325200,18351702,18468230,18609261,18678717,18681912,18746430,18960091,19339538,19445062,19546880,19561147,19803068,19859947,19996192,20083291,20153948,20200887,20294470,20298717,20309729,20601907,20615850,20823091,20854844,21017151,21174602,21340562,21376600,21438044,21506378,21555691,21633224,21701347,21919291,21990240,22002962,22064227,22097085,22161876,22495716,22827722,23456256,23484938,23570224,23646908,23878748,23976338,24048675,24096021,24337377,24342044,24353364,24553987,24629522,24739020,24792458,24920444,25036028,25058285,25110691,25193373,25421494,25442762,25545741,25651920,25787710,26346427,26388288,26491857,26516502,27111068,27291427,27340988,27362048,27631933,27685628,27700682,27778660,28024027,28058792,28156291,28246085,28395717,28500242,28629375,28819058,28858410,28992100,29061308,29268907,29613578,29686824,29977747,30069942,30090044,30233347,30297067,30404498,30424291,30538000,30548518,30631821,30741091,30774428,30782304,30867307,30930307,30945252,31034642,31537925,31566141,31662482,31912508,32126397,32253308,32316584,32481907,32786827,32820668,32907028,33210691,33331147,33334392,33397677,33613628,33804425,33895302,34355250,34519867,34630092,34730997,34790520,34870867,34987291,35014317,35161387,35737027,35797550,35840138,36026045,36145418,36316420,36320444,36356157,36530827,36586987,36645600,36970845,36978091,36994268,37057802,37089187,37109888,37255291,37321377,37501191,37569065,37695067,37845510,37961384,38562044,38614291,38673788,38880691,39088640,39139335,39145291,39435568,39474190,39623793,39683800,39772987,40082947,40312445,40339267,40351550,40358858,40368544,40565310,40595945,40947091,40951562,41197291,41226300,41346425,41470664,41748624,42034507,42130058,42343388,42565147,42660691,42706557,42957060,42994861,43006844,43007882,43231254,43269664,43299338,43579704,43640740,43669148,43688445,43692667,43735442,43830691,43899441,43974720,44025458,44286091,44314898,44365014,44600587,44644275,44660444,45082878,45179762,45262627,45306187,45323402,45414612,45483613,45522907,45737827,45820864,45970557,46039442,46120147,46182218,46359464,46518485,46601008,46654497,46751882,46854044,46906368,46967202,47010040,47191867,47369028,47460722,47620560,47706045,47836988,47907785,47980401,47983147,48025202,48090581,48374934,48421860,48490844,48519907,48678372,48715134,49027167,49079347,49179741,49379165,49469468,49471560,49615710,49658227,49729291,49800067,49834184,49975747,50260082,50321707,50379045,50398538,50553788,50770268,50795264,50886448,51094748,51475867,51548472,51570691,51649984,51664867,51697492,51880600,51882091,51974107,52048778,52154397,52246267,52368888,52424467,52426134,52603592,52629091,52714077,52769664,52820444,52886295,52923424,53001842,53137418,53194291,53480669,53573130,53599291,53737648,53860291,54002108,54163987,54305645,54323708,54552787,54832291,55057291,55101427,55106513,55275091,55339027,55393628,55654685,55655505,55686002,55689091,55788091,55822182,55923667,56037067,56063457,56083658,56166091,56348042,56391700,56412048,56548627,56585877,56710987,56726827,56804947,56822885,56926797,57085387,57119525,57144672,57247254,57262291,57365107,57398901,57489342,57601987,57709627,57730291,57848227,57857587,57992031,58022421,58045291,58068187,58106232,58185691,58272091,58306867,58329547,58365675,58423291,58439707,58458067,58461307,58835329,58914999,59179041,59218844,59254998,59309165,59347058,59365872,59475722,59486792,59538852,59988938,60454854,60530001,60949941,61027845,61212597,61261898,61421230,61510353,61514762,61955708,62256720,62645522,62959875,63031857,63268682,63463554,63942044,64191862,64287756,64790885,64976590,64994378,65096368,65166774,65369511,65551541,65846642,66312392,66407168,66641468,66785622,66786606,66922641,66991784,67157200,67410698,67530002,67670040,67673948,67768178,68124362,68187462,68198141,68242802,68332025,68445365,68497628,68543430,68552585,68700830,68950418,69026504,69216668,69356045,69442593,69458165,69524348,70002122,70038810,70264977,70581362,70650044,71042162,71122877,71170998,71526013,71568188,71670044,71849697,72059525,72178844,72181376,72184082,72280508,72389877,72406184,72760534,73112992,73233414,73705476,73758578,73801628,73853560,74292533,74340365,74424722,74601441,74645618,74708064,74879033,75032997,75037925,75195338,75365757,75551850,75557085,75771464,76120028,76128795,76442792,76527141,76822268,77037458,77113544,77654817,77677682,77749062,77759864,77971908,78222044,78312722,78341901,78528135,78723590,78908165,79218044,79226081,79228401,79463498,79670858,80111708,80441998,80588640,80594224,80661093,80706044,80887677,81175550,81204048,81456957,81792668,81813362,81913802,81998430,82014098,82057677,82134438,82186844,82247885,82252116,82263102,82440996,82678844,82712138,82784337,83085255,83227254,83304842,83349798,83396913,83501258,83697098,83763344,83891517,84046572,84050470,84247868,84378002,84808437,85242897,85338482,85614044,85718642,85955045,85961216,85998141,86003228,86178425,86378378,86443592,86471430,86586044,86752737,87216242,87458108,87464992,87479847,87651548,87676682,87941468,87984694,88038044,88042442,88133522,88305701,88520444,88559997,88624272,88652085,88946762,89208438,89275901,89415717,89641349,90045510,90363722,90465065,90662220,90668502,90920444,91058378,91354554,91472885,91658642,91702660,91725965,92151537,92167538,92236192,92255708,92327213,92381864,92587658,92823700,92838002,93244438,93395228,93417098,93485875,93581258,93744842,94195293,94233762,94319525,94468308,94473842,94562224,94607765,94689798,96048544,96129482,96452637,96457245,96598844,96706368,96968264,97160348,97249041,97348298,97410660,97586621,97627388,97628297,97869938,97943882,98384522,98391237,98398116,98559068,98697462,98819978,98963978,99107402,99225950,99302108,99498957,99576392,99610745,99702306,99815882,...,102795485663317248289550408376796762335257002429912720097874758889659245002337469378192217286294717285530919115371711170178409404325292224134160973321494904278926806998553234310161428415459233123632752830886188041289476519607365754062378595005685811135853743340436344861066418371025502819025312804076835247572056414474514512079557085958526469142527115870115844587853878003317882056090112161841045828925168317809390938620460022843929130011296497522805139497455319611625411187311133341447125003048542312463416655242138388527284032950423554970928153218373032805296014600874744004785721081365022909852718658444106319630468499917968263306627049545953867141178442428549388113547007411172482679613794616415677672956633024024411234150621340663074574300134941471940434496901275461112889374440537335653850139379038489386055918813930269085834375487735492445520709645327905106435336293196181004722767084832233023057875138755225723701167956757943561890062733993932352134579744907720166226091136497436336601264821416841616656296597308118211263565590057214178786940970431421385265814154113117665813772558581776233438034297594180454248540470955223048962399245816398099112367657691246268701302883433076884004861664201148708369273912501591344611301731633248053122068595378541960804255641566494810149377837259663023585466809563854583870594501170155437188689184916759635182272223927331160086312586815237337608470262130464238880267605292352298266579851810846313326918843941694757005313355288078890259524749256302986328594821928293166578139231905815041436770954082852673766577435973047386673999463943177077047474393311916375212210852605674481148058524384474386590731797860008511053933238769252649963375965909925060107060990739159883942424909411907203858805568314886736472647999980699399362209788349165194842557490576279256980220811302887408056429000599900689293094730396008855645879934036210462364342201241931719971588217314583361992372929149073223787401759250069519583602419124615549178455407051089890848676615335085184709540826589718203592962255840955214763055577885941428134602107662192913897912971591585624961502377066775640946398264405035472676598174727585404683503450549026885951014640086719872246096005176418204084859760948042125305243507410593264300506625889148792480043573960522690175193210939735083212542643335366334550509264473658224431960678057921099150007662277963008537550708037539860846331955099561363623715401871110878413063469260473265284}
15293   981365812710390372186267397051113910938379187387794191261287856: {61156,122296,137583,595803,840235,870447,1008282,1298035,1419087,1450555,1497146,1557642,1740666,1817011,1847791,2138780,2183467,2212555,2457343,2566536,2595730,2655066,2779322,2887353,3055400,3114876,3189967,3332523,3373123,3437325,3510490,3581635,3666480,3695098,3860527,3910912,3970460,4124790,4212588,4297962,4399776,4409851,4421163,4644235,4692783,4703468,4764552,4949748,5360121,5402035,5557916,5573082,5651443,5708362,6288751,6482442,6719240,6763555,6857967,6873691,7537946,7559145,7669435,7939880,8063088,8073490,8116266,8119916,8932365,8983930,9009327,9070974,9175082,9203322,9307363,9405704,9527856,9627235,9688188,9826796,10165747,10317788,10346907,10491403,10528555,10581417,10718838,10780716,11135323,11224185,11278555,11428435,11552682,11599880,11866507,11877835,11972464,12001843,12475803,12596925,12626035,12634266,12756524,12963283,13049865,13107260,13362125,13436720,13469022,13488956,13534266,13597711,13671835,13694467,13714122,13799343,13876687,13919856,14038280,14253402,14273546,14527891,14530376,14661842,14864635,14873947,15059503,15116310,15151242,15262651,15659838,15711801,15728712,15750922,15787891,15793065,15906235,16034550,16124064,16338571,16346673,16406202,16430223,16845936,17094235,17103520,17145490,17460872,17496668,17694801,17754682,17837562,17953898,18139572,18192427,18549523,18704525,18779547,18929071,18951678,19087482,19088750,19241460,19314835,19460325,19558767,19643481,20348035,20390780,20513082,20524224,20574588,20594703,20623946,20740771,20754130,20757680,21105643,21234802,21437323,22445430,22554130,22827464,22906500,22977931,23089752,23169423,23177802,23352390,23941792,24134162,24332746,24417642,24433600,24468936,24551443,24753835,24812348,24819967,24904956,24909216,24995240,25132591,25192435,25468203,25621906,25680897,25798747,25975971,26068555,26567923,26720750,26737743,26797555,26934516,27041530,27064956,27487800,27527553,27702345,28022868,28119645,28277011,28718122,28991983,29009307,29116987,29167593,29308747,29320320,29462780,29549168,29558635,29704602,29848435,29994288,30066091,30230922,30427555,30441705,30923775,31150555,31218746,31275008,31282266,31282387,31295035,31706191,31761903,32010843,32064900,32128028,32157066,32259567,32449836,32471152,32550667,32706691,32985360,33004443,33016687,33027427,33216211,33242814,33574591,33591164,33743574,33850963,33888835,33975643,34060988,34176235,34202560,34241583,34506122,34607035,34723325,35073490,35140027,35184384,35227407,35258731,35322476,35355336,35470362,35717242,35768731,35818122,35964507,36240125,36286831,36326635,36513066,36530046,36751867,36944283,37108530,37188687,37380666,37554042,37612555,37845763,37860956,37918507,38008627,38132241,38164143,38172500,38468035,38477880,38627563,38681565,39401611,39582432,39774753,39890635,40093256,40316635,40395730,40564531,40568522,40666602,40775882,40842428,41011482,41025835,41043072,41133785,41260336,41500591,41528442,41551023,41664146,41667990,41862307,42017035,42088188,42113551,42162026,42660283,42750363,42835196,43228587,43287615,43488150,43591962,43604911,43659418,44420367,44421403,44423467,44445856,44525642,44530236,45104913,45135066,45193736,45285907,45395525,45400555,45606747,45609386,45613807,45807000,45822777,46028143,46161642,46173456,46242835,46307996,46387360,46417878,46551963,46596283,46685756,47020442,47451730,47469091,47493723,47868762,47934511,48202555,48342235,48373807,48379962,48474876,48860800,49145347,49231002,49294460,49360542,49487323,49599418,49604750,49636987,49761836,50001588,50420442,50460680,50842953,51005491,51343123,51532875,51538267,51819667,51838330,51945138,52050943,52058563,52104082,52185780,52831724,52929235,53066947,53696325,53758555,53760207,53879323,54087080,54218127,54436591,54474630,54480666,54550925,54586435,54607627,54712346,54736207,54968400,55491402,55586703,55664832,55749571,55825555,56433211,56636143,56768265,56942076,56959322,57065923,57276080,57482618,57497242,57641672,57843066,57949330,57969307,58010682,58021147,58023343,58106272,58248562,58251260,58532588,58567555,58617811,58632960,58762550,58930927,59153352,59211285,59467738,59525700,59796235,59974891,60110504,60398191,60519667,60527325,60538287,60552816,60613555,60847965,61294076,61427343,61446991,61723922,61836835,61839450,62129647,62205996,62292730,62541824,62622936,63111722,63158704,63192235,63195087,63355411,63462835,63479107,63494080,63515082,63608060,63868435,63973868,63974227,64435590,64499912,64510266,64511823,64562480,64621865,64846881,64850750,64904496,64949007,64953512,65298427,65369556,65369722,65461110,65503722,65572988,65603163,65662291,65754490,65792107,65962080,66025555,66038187,66154280,66300031,66472347,66547521,66887443,66926803,66990666,67123123,67172060,67474351,67502635,67624317,67769643,67904635,67985103,68039881,68121918,68295763,68581202,68731296,68736362,68782171,69059163,69064291,69242035,69273327,69539196,69825184,69901512,70127823,70138987,70281066,70285436,70359552,70408591,70450803,70489625,70508146,70515060,70519946,71053542,71191083,71382427,71430840,71676847,71755482,72037803,72562401,72632790,72736266,73017558,73072701,73292926,73328011,73550683,74023555,74172163,74204202,74207340,74358490,74423565,74429576,74622442,74630323,74751276,75157291,75174682,75216064,75297146,75303787,75390123,75447836,75597807,75638143,75711547,75830682,75902396,76134031,76155402,76192896,76329672,76531868,76642122,76652456,76699387,77322708,77363228,77444635,77474976,77546238,77546851,77564227,77820900,78073167,78123211,78323026,78517267,78553332,78639201,78905388,79006664,79154496,79170667,79230666,79385136,79502763,79671002,79706127,79927555,80359695,80606472,80706668,80834131,81003162,81039067,81143887,81214891,81266588,81370460,81485562,81616796,81772207,82013804,82625407,82632883,82741946,82890490,83008960,83090442,83284891,83301835,83489347,83529003,83695567,83733273,83739730,83946500,84042476,84125487,84522063,84587550,84592435,84618072,84847231,84908527,85585531,85622035,85717008,85777546,85870881,86234013,86283130,86520835,86568547,86629051,86764298,86888362,86889032,86905435,87129343,87159348,87411787,87723691,88066171,88312555,88741843,88813138,88824082,88828266,88882497,89020587,89047496,89048808,89213583,89214127,89230188,89308278,89460235,89552923,89587555,89929723,89983407,90026762,90086011,90223555,90226720,90261931,90350635,90507730,90682281,90916616,91215562,91391240,91715083,91892847,91951087,92088667,92109307,92131845,92252035,92272143,92316950,92590124,92933562,93222091,93385080,93490291,93686636,93968283,94714330,94863146,94894664,94903023,95150035,95195331,95355562,95553490,95799596,95913066,95981371,96027835,96069722,96287793,96391930,96431634,96519836,96546283,96746287,96752107,97199830,97464885,97491567,97644552,97739707,97750161,97777555,97949002,98273968,98306107,98418943,98447731,98694031,98769963,98913067,99022555,99213967,99286546,99468588,99610752,99854971,99962202,99962707,...,154193228494975872434325612565195143502885503644869080146812138334488867503506204067288325929442075928296378673057566755267614106487938336201241459982242356418390210497829851465242142623188849685449129246329282061934214779411048631093567892508528716703780615010654517291599627556538254228537969206115252871358084621711771768119335628937789703713790673805173766881780817004976823084135168242761568743387752476714086407930690034265893695016944746284207709246182979417438116780966700012170687504572813468695124982863207582790926049425635332456392229827559549207944021901312116007178581622047534364779077987666159479445702749876952394959940574318930800711767663642824082170320511116758724019420691924623516509434949536036616851225932010994611861450202412207910651745351913191669334061660806003480775209068557734079083878220895403628751563231603238668281064467991857659653004439794271507084150627248349534586812708132838585551751935136915342835094100990898528201869617361580249339136704746154504901897232125262424984444895962177316895348385085821268180411455647132077898721231169676498720658837872664350157051446391270681372810706432834573443598868724597148668551486536869403051954325149615326007292496301723062553910868752387016916952597449872079683102893067812941206383462349742215224066755889494535378200214345781875805891751755233155783033777375139452773408335890996740129468880222856006412705393195696358320401407938528447399869777716269469990378265912542135507970032932118335389287123884454479492892232892439749867208847858722562155156431124279010649866153959571080010999195914765615571211589967874562818316278908511721722087786576711579886097696790012766580899858153878974945063948864887590160591486108739825913637364117860805788208352472330104708971999971049099043314682523747792263836235864418885470331216954331112084643500899851033939642095594013283468819901054315693546513301862897579957382325971875042988559393723609835681102638875104279375403628686923323767683110576634836273014923002627777064311239884577305389443383761432822144583366828912142201903161493289370846869457387378437442253565600163461419597396607553209014897262091378107025255175823540328926521960130079808369144007764627306127289641422063187957865261115889896450759938833723188720065360940784035262789816409602624818813965003049501825763896710487336647941017086881648725011493416944512806326062056309791269497932649342045435573102806666317619595203890709897926}
15294   985764885562589367999729020496604819649247451059374543192202640: {76445,91734,107009,152870,183444,259709,351233,473153,702374,794404,807773,885254,929213,1020209,1160596,1344376,1512423,1534493,1625009,1797494,1892116,2076856,2245719,2320888,2336463,2376509,2466353,2610999,2615933,2673475,2914493,3182513,3208170,3422048,3509213,3540088,3627773,3819250,3849804,3893595,3953153,3972182,3982599,4153168,4159709,4168983,4218653,4443364,4583100,4659713,4672314,4888640,4963075,5040509,5186609,5265735,5499720,5542647,5616784,5730616,5768582,5866368,5879335,5894884,5914109,5955690,6187185,6257044,6318882,6352736,6446943,6578993,6599664,6866753,6924209,6947395,7055202,7146828,7195334,7424622,7430776,7725233,7981373,8066609,8208509,8229991,8293553,8336874,8359623,8399050,8406833,8491709,8562543,8643256,9143956,9392573,9672413,9723663,9839933,9924850,10078860,10149895,10229693,10475906,10546934,10673213,10750784,10811393,10821688,10921793,11004509,11059613,11306919,11757130,11909820,11942582,12012436,12094632,12110235,12174399,12179874,12271096,12283495,12372509,12453953,12703808,12714079,12724913,12779009,12897235,12917584,13049009,13329014,13475895,13586609,13606461,13666973,13674182,13762623,13795876,13804983,13854209,13907633,14108556,14174273,14190854,14291784,14374288,14466653,14499850,14532282,14740194,14965580,14969393,15049094,15278263,15391382,15403576,15443009,15476682,15574109,15835709,15945655,16078257,16171074,16278593,16384075,16634404,16745009,16754774,16795900,16845688,16861195,17080253,17208833,17329023,17388509,17399820,17433014,17547850,17958696,17976113,18045688,18154109,18162970,18285496,18399124,18534209,18559808,18951399,18962813,19004536,19113533,19118534,19134786,19213853,19286294,19660890,19974031,20110973,20155080,20201656,20203533,20233434,20301399,20456582,20531009,20571183,20879784,20949068,20971616,21057420,21071153,21217793,21379400,21380103,21410319,21498752,21558833,21619814,21704513,21795564,21826090,21870835,21874109,21874936,21906964,21922493,21992763,21995009,22067453,22446374,22461248,22674465,22716209,22726863,23074109,23489757,23593068,23595773,23626383,23783416,24002407,24051825,24186096,24609303,24650753,25039396,25137533,25183709,25268904,25392182,25449976,25488475,25597853,25655280,25718235,25855522,25947100,26078356,26191308,26245002,26554109,26621873,26632023,26756343,26892209,26930847,27183773,27209358,27350776,27365632,27432784,27459604,27811382,27829313,28050353,28182593,28412258,28427517,28534330,28631223,28633125,28862190,29359793,29747009,29811293,29881814,29927240,30003713,30322973,30542000,30586170,30640433,30703709,30766913,30769623,30786336,30861882,30892564,30903736,30935919,31015435,31131195,31136520,31244050,31374173,31706333,31852203,32015873,32303153,32507393,32556856,32625248,32913473,33206608,33212288,33476609,33576509,33668145,33831195,33835313,33934493,33957604,34112513,34241196,34359750,34407773,34525373,34634628,34662209,34759709,34766703,34895873,34954109,35012273,35028585,35081599,35335094,35340509,35398193,35532509,35570813,35650324,35912688,35947094,35971073,36086608,36102794,36103709,36201243,36499119,36611633,36626463,36650400,36703404,36828475,36936460,37218522,37261373,37357434,37363824,37492860,37500209,37646513,37920182,38136509,38432859,38531453,38585009,38679076,38887133,38890124,39093760,39122294,39151793,39169373,39204509,39544519,39606136,39641009,39693053,39719894,39779633,39992384,40081125,40106813,40160035,40166582,40192433,40307896,40363073,40401774,40499009,40562295,40588940,40597434,40619458,40954013,40970753,41004209,41203814,41231700,41370113,41419709,41646182,41709688,41988955,42034302,42041693,42203453,42235709,42349204,42396509,42576235,42681124,42683933,42715709,42753200,42874109,42876088,42905693,43012756,43077183,43111382,43266448,43402694,43422209,43654109,43700273,43838582,43853633,43980480,44005924,44036609,44066993,44128454,44153095,44194170,44323752,44518913,44556903,44756993,44991432,45227009,45328733,45346383,45545393,45655444,46128413,46435709,46601693,46670513,46828119,46912512,46923399,46969876,47140448,47293816,47326195,47520509,47652509,47715625,47757496,47875073,47952676,48097350,48192042,48198173,48235599,48236609,48300509,48338753,48654653,48674754,48684088,48706728,48717233,48953213,49088513,49107974,49210673,49259044,49416509,49452593,49478040,49572353,49584916,49840888,49864221,50072056,50116570,50221382,50331293,50386746,50436463,50467709,50546753,50615361,50714813,50842988,50885524,50947073,51053035,51091482,51132509,51208193,51240509,51303840,51326333,51432893,51575420,51580733,51591233,51737393,51759183,51994493,52055453,52256573,52596691,52610235,52620209,52649213,52692854,52776576,52983714,53033004,53205543,53369009,53396093,53459009,53543995,53575863,53592509,53618993,53727183,53767709,53793713,53879873,53897009,53982209,54175133,54222136,54492593,54582854,54658493,54681976,54724096,54769599,54795069,54851393,55002113,55142333,55164209,55263866,55272509,55286813,55357853,55371256,55401364,55414109,55435073,55504433,55557320,55606973,55662795,55800113,55884509,55935773,55980209,55999133,56048054,56055473,56070999,56117584,56123453,56147933,56184413,56214593,56312582,56331063,56391473,56437423,56492170,56627009,56723633,56776193,56791434,56802173,56822813,56834323,56988209,57000484,57098333,57140273,57168991,57258750,57266609,57279773,57301553,57340253,57488573,57638116,57716820,57726653,57747293,57804209,57814013,57861953,57874433,57884995,57929009,57943709,57984200,58027709,58035713,58054109,58059293,58122616,58128509,58180673,58206209,58255709,58270493,58283009,58288253,58344113,58357195,58376753,58412093,58420913,58423709,58447709,58464509,58465373,58471709,58473473,58474673,58475009,58475933,58537814,59227156,59373648,59955494,60139884,60180088,60466694,60593595,60594134,60808996,60848582,60852783,60999903,61076000,61097036,61163823,61263642,61482182,61517223,61548856,61564608,61618075,61734614,61860614,61890504,62069284,62202295,62292663,62496219,62501985,63075850,63132282,63204427,63243039,63324964,63825016,64252794,64506616,64633168,64963814,65125879,65232225,65387943,65489127,65573654,65641336,65814056,66039655,66421382,66662294,66668784,66788463,66795354,67070899,67227256,67608850,67702599,67790604,68414079,68710500,69039734,69130831,69242463,69260184,69461994,69581040,69626817,69741734,69974582,70028634,70322774,70530663,71177595,71474054,71595100,71680276,71803143,72052090,72290836,72569943,72632840,72640888,72712314,72814075,73061654,73165735,73173974,73263487,73291200,73846503,73941690,73956182,73988536,74040813,74115604,74178374,74219776,74399127,74407125,74510582,74642754,75002382,75138130,75390134,75630663,75691020,75922768,76027903,76617595,77124088,77228582,77347576,77470003,77757495,77761382,77916559,77917707,78156123,78177280,78278670,78290582,78871136,78948380,79247586,79367600,79510075,79545974,79552039,79967335,80165894,80597803,80624890,80678534,80703100,80717716,80737088,81130620,81191890,81711945,81720999,81894182,81903124,81966235,82068519,82394582,82452600,82692850,82941328,83032831,83237103,83497248,83688331,83965075,84069014,84260116,84686776,85130294,85321382,85413114,85438983,85914120,85989722,86013688,86015764,86223927,86245863,86462508,86539328,86598676,86764599,86923995,87016023,87159408,87281480,87338296,87372843,87376890,87385334,87470884,87661382,87798882,87856795,87949440,88050916,88143825,88572182,88629796,88730028,89201174,89201607,89288550,89320888,90165756,90359524,90525254,90612374,90646804,90707239,90829224,90967226,91045814,91475654,91641728,91941114,92078884,92240294,92364436,92585883,92718928,92759175,93036970,93202016,93308994,93439095,93503764,93630823,93708088,93812736,93934404,94020080,94309795,94383734,94667583,94738056,94877995,94921444,95241120,95272623,95412090,95664835,95673976,95815570,95823511,95960802,95966294,95973619,96050404,96181162,96653385,96704035,96749868,96765399,96843720,96981688,97039814,97098463,97241431,97276125,97356744,97430268,98054334,98054583,98158694,98191665,98255583,98359482,98631735,98694607,98758330,98938936,98943120,99231420,99316454,99458582,99600134,99668368,99951494,...,231289842742463808651488418847792715254328255467303620220218207501733301255259306100932488894163113892444568009586350132901421159731907504301862189973363534627585315746744777197863213934783274528173693869493923092901322169116572946640351838762793075055670922515981775937399441334807381342806953809172879307037126932567657652179003443406684555570686010707760650322671225507465234626202752364142353115081628715071129611896035051398840542525417119426311563869274469126157175171450050018256031256859220203042687474294811374186389074138452998684588344741339323811916032851968174010767872433071301547168616981499239219168554124815428592439910861478396201067651495464236123255480766675138086029131037886935274764152424304054925276838898016491917792175303618311865977618027869787504001092491209005221162813602836601118625817331343105443127344847404858002421596701987786489479506659691407260626225940872524301880219062199257878327627902705373014252641151486347792302804426042370374008705057119231757352845848187893637476667343943265975343022577628731902270617183470698116848081846754514748080988256808996525235577169586906022059216059649251860165398303086895723002827229805304104577931487724422989010938744452584593830866303128580525375428896174808119524654339601719411809575193524613322836100133834241803067300321518672813708837627632849733674550666062709179160112503836495110194203320334284009619058089793544537480602111907792671099804666574404204985567398868813203261955049398177503083930685826681719239338349338659624800813271788083843232734646686418515974799230939356620016498793872148423356817384951811844227474418362767582583131679865067369829146545185019149871349787230818462417595923297331385240887229163109738870456046176791208682312528708495157063457999956573648564972023785621688395754353796628328205496825431496668126965251349776550909463143391019925203229851581473540319769952794346369936073488957812564482839090585414753521653958312656419063105443030384985651524665864952254409522384503941665596466859826865958084165075642149233216875050243368213302854742239934056270304186081067656163380348400245192129396094911329813522345893137067160537882763735310493389782940195119712553716011646940959190934462133094781936797891673834844676139908250584783080098041411176052894184724614403937228220947504574252738645845065731004971911525630322473087517240125416769209489093084464686904246898974013068153359654209999476429392805836064846889}
15295   990183520713499663924660767063631902771289108157135661839531851: {122312,137601,229305,244592,275166,993005,1053561,1176329,1191606,1327881,1450745,1680470,1740894,1817249,2016564,2030777,2183753,2365145,2580461,2596070,2696241,2838174,2901110,2994292,3097577,3115284,3481332,3634022,3695582,3769961,4277560,4366934,4425110,4562441,4812255,4914686,4928657,5014289,5133072,5191460,5310132,5554205,5558644,5728875,5774706,5958273,6110800,6229752,6379934,6501929,6665046,6746246,6874650,7008471,7020980,7163270,7208993,7332960,7368605,7390196,7562849,7721054,7821305,7821824,7940920,8123453,8249580,8425176,8595924,8652873,8799552,8819702,8842326,8933535,9288470,9385566,9406936,9468977,9478323,9529104,9586589,9899496,10582803,10720242,10737209,10793001,10804070,10866833,11115832,11136933,11146164,11214929,11302886,11416724,11429945,12445361,12505311,12577502,12598575,12964884,13438480,13478129,13527110,13715934,13747382,14638913,14739977,14887275,15015545,15075892,15118290,15338870,15713859,15780029,15789977,15820401,15879760,15999809,16126176,16146980,16204529,16232532,16239832,16399721,16628969,17058257,17244845,17465369,17578301,17635695,17676449,17864730,17913873,17967860,18018654,18141948,18269811,18350164,18406644,18614726,18706975,18811408,19055712,19140569,19254470,19376376,19653592,19993521,20331494,20412257,20511273,20635576,20693814,20793005,20810489,20982806,20994875,21057110,21162834,21286281,21437676,21500141,21561432,21749775,21798423,22110291,22171169,22268729,22270646,22448370,22557110,22573641,22856870,22998905,23084189,23087073,23105364,23199760,23215023,23733014,23755670,23931929,23944928,23959361,24003686,24256611,24951606,25132161,25193850,25252070,25268532,25513048,25519121,25681217,25926566,26099730,26149521,26186335,26214520,26321775,26724250,26873440,26938044,26977912,27040769,27068532,27111953,27195422,27244455,27343670,27383705,27388934,27428244,27598686,27605681,27753374,27839712,28076560,28487249,28506804,28547092,28677801,28702179,28929441,29055782,29060752,29323684,29491335,29531657,29693561,29702153,29729270,29747894,30119006,30232620,30302484,30350151,30525302,30684873,31299245,31319676,31423602,31457424,31501844,31575782,31586130,31812470,32038193,32069100,32163581,32248128,32429721,32433875,32597945,32677142,32693346,32739135,32812404,32860446,33179417,33439793,33669561,33691872,34188470,34207040,34290980,34324505,34638521,34655369,34793417,34921744,34984433,34993336,35269409,35389602,35509364,35532653,35675124,35773457,35907796,36279144,36384854,36495977,36554537,36944633,37099046,37409050,37470953,37516577,37559094,37858142,37903356,37997693,38088273,38174964,38177500,38482920,38544641,38615705,38629670,38783283,38920650,39019721,39117534,39286962,39367503,39406817,39896249,39976817,40357949,40696070,40781560,40814037,41026164,41048448,41149176,41189406,41247892,41382089,41481542,41508260,41515360,41717073,41718689,41787809,42211286,42447005,42469604,42598577,42618387,42801495,42874646,43293285,43541129,43610777,43813049,44562905,44753753,44812781,44822721,44890860,45108260,45654928,45813000,45879255,45955862,46170575,46179504,46292823,46338846,46355604,46704780,46866075,47444369,47846729,47883584,48268324,48348845,48409073,48449849,48612655,48665492,48835284,48867200,48937872,49046153,49102886,49507670,49624696,49639934,49809912,49818432,49990480,50265182,50384870,50736175,50857289,50936406,51243812,51361794,51539625,51542681,51597494,51951942,52137110,52500461,52515233,52657577,52936505,53002641,53135846,53351405,53441500,53475486,53595110,53765945,53855249,53869032,53920641,54083060,54129912,54154191,54412829,54975600,55007405,55055106,55309361,55404690,55408529,55756937,55827783,55846889,56036151,56045736,56239290,56443289,56458733,56554022,56880273,57006137,57069305,57436169,57436244,57587299,57983966,58018614,58233974,58335186,58617494,58640640,58683441,58712345,58823849,58925560,59098336,59117270,59409204,59579841,59594369,59696870,59940845,59988576,60132182,60249873,60461844,60602661,60855110,60883410,60896151,60908861,60929187,61095917,61573805,61805721,61847550,61981145,62301110,62437492,62469273,62550016,62564532,62564774,62590070,62823833,63051453,63412382,63523806,63553735,63560777,63606905,63779561,64021686,64129800,64256056,64314132,64334153,64469275,64519134,64667073,64739969,64899672,64942304,65011529,65101334,65104041,65413382,65757873,65970720,66008886,66033374,66054854,66192681,66291255,66432422,66485628,67094921,67149182,67182328,67483577,67487148,67511933,67679129,67701926,67777670,67951286,68057729,68121976,68352470,68405120,68483166,68509181,68989121,69012244,69214070,69251705,69446650,69645641,70146980,70280054,70368768,70454814,70517462,70644952,70710672,70735313,70940724,71100569,71250605,71434484,71537462,71636244,71929014,72047645,72146025,72288063,72480250,72573662,72653270,73012131,73026132,73060092,73091033,73503734,73525769,73560401,73661961,73888566,74033945,74100929,74217060,74377374,74535329,74761332,75019961,75108084,75174855,75225110,75261977,75332073,75483353,75580119,75691526,75721912,75837014,76011245,76017254,76264482,76305353,76328286,76345000,76371295,76421009,76637223,76648349,76936070,76955760,77255126,77363130,77557097,77586605,78155777,78803222,79039281,79156205,79164864,79267529,79475571,79549506,79781270,80183657,80186512,80633270,80729021,80791460,80933033,81129062,81137044,81333204,81551764,81684856,81874281,81994577,82022964,82051670,82086144,82267570,82520672,82643801,82895799,83001182,83056884,83102046,83210153,83316833,83328292,83335980,83410361,83714729,83724614,84034070,84072081,84106769,84176376,84227102,84324052,84363581,84402809,84468873,84630713,84709001,84738255,84858977,85176593,85187151,85320566,85500726,85670392,85888125,86457174,86571569,86575230,86640497,86976300,87183924,87209822,87314177,87318836,87721709,87806721,88469129,88573757,88672529,88822253,88840734,88842806,88846934,88847969,88891712,89051284,89060472,89247233,89415809,89493875,89565629,89600345,89933241,90209826,90257249,90270132,90273857,90363545,90387472,90470611,90571814,90700041,90791050,90801110,90891201,91213494,91218772,91227614,91272873,91614000,91645554,91727201,91895463,92056286,92223273,92323284,92346912,92412353,92435777,92485670,92601921,92615992,92644505,92774720,92790921,92835756,93103926,93192566,93247289,93371512,94040884,94470017,94503689,94613775,94698423,94903460,94938182,94987446,95066489,95068073,95654417,95737524,95869022,95897321,96379191,96405110,96639881,96684470,96747614,96759924,96938849,96949752,97069313,97445721,97721600,98050793,98290694,98336369,98360481,98426897,98461673,98462004,98588920,98685475,98721084,98974646,99198836,99209500,99273974,99523672,99632073,99993441,...,308386456989951744868651225130390287005771007289738160293624276668977735007012408134576651858884151856592757346115133510535228212975876672402482919964484712836780420995659702930484285246377699370898258492658564123868429558822097262187135785017057433407561230021309034583199255113076508457075938412230505742716169243423543536238671257875579407427581347610347533763561634009953646168270336485523137486775504953428172815861380068531787390033889492568415418492365958834876233561933400024341375009145626937390249965726415165581852098851270664912784459655119098415888043802624232014357163244095068729558155975332318958891405499753904789919881148637861601423535327285648164340641022233517448038841383849247033018869899072073233702451864021989223722900404824415821303490703826383338668123321612006961550418137115468158167756441790807257503126463206477336562128935983715319306008879588543014168301254496699069173625416265677171103503870273830685670188201981797056403739234723160498678273409492309009803794464250524849968889791924354633790696770171642536360822911294264155797442462339352997441317675745328700314102892782541362745621412865669146887197737449194297337102973073738806103908650299230652014584992603446125107821737504774033833905194899744159366205786135625882412766924699484430448133511778989070756400428691563751611783503510466311566067554750278905546816671781993480258937760445712012825410786391392716640802815877056894799739555432538939980756531825084271015940065864236670778574247768908958985784465784879499734417695717445124310312862248558021299732307919142160021998391829531231142423179935749125636632557817023443444175573153423159772195393580025533161799716307757949890127897729775180321182972217479651827274728235721611576416704944660209417943999942098198086629365047495584527672471728837770940662433908662224169287001799702067879284191188026566937639802108631387093026603725795159914764651943750085977118787447219671362205277750208558750807257373846647535366221153269672546029846005255554128622479769154610778886767522865644289166733657824284403806322986578741693738914774756874884507131200326922839194793215106418029794524182756214050510351647080657853043920260159616738288015529254612254579282844126375915730522231779792901519877667446377440130721881568070525579632819205249637627930006099003651527793420974673295882034173763297450022986833889025612652124112619582538995865298684090871146205613332635239190407781419795852}
15296   994621804461628976283234571872432022127452448500628238215404693: {107023,152890,183468,214018,290263,305740,366888,412749,519418,564583,702466,946306,1202143,1404748,1474303,1564879,1588808,1615546,1655383,1770508,1787409,1858426,2040418,2321192,2376823,2520705,2611341,2688752,3024846,3068986,3250018,3361279,3594988,3742865,3784232,3894105,4153712,4248679,4257261,4351665,4491438,4641776,4672926,4689679,4753018,4932706,5216503,5221998,5231866,5346950,5451033,5478943,5543373,5566279,5828986,6088783,6365026,6416340,6489325,6550401,6637665,6844096,6948305,7018426,7080176,7255546,7372029,7383703,7638500,7699608,7787190,7906306,7944364,7965198,8231069,8306336,8319418,8337966,8437306,8662059,8776225,8886728,9000679,9166200,9237745,9319426,9344628,9421879,9569901,9726353,9777280,9926150,9997569,10081018,10119369,10311975,10373218,10531470,10674679,10744905,10757623,10999440,11085294,11233568,11461232,11537164,11581581,11732736,11758670,11789768,11828218,11911380,12374370,12401383,12514088,12637764,12645463,12705472,12893886,13050823,13157986,13199328,13229553,13263489,13733506,13848418,13894790,13932705,14078349,14110404,14209853,14270905,14293656,14390668,14849244,14861552,15450466,15916279,15962746,16080363,16133218,16206105,16306879,16417018,16459982,16587106,16673748,16719246,16798100,16813666,16954329,16983418,17082679,17125086,17196893,17286512,18056129,18156703,18287912,18785146,18844865,18866253,19344826,19447326,19679866,19741279,19849700,20157720,20183725,20290665,20299790,20315053,20459386,20558623,20573901,20621073,20951812,21093868,21346426,21501568,21513343,21622786,21643376,21843586,22009018,22022383,22119226,22239463,22323917,22459825,22613838,22671679,22677435,22743463,22937705,23008305,23101303,23514260,23605673,23811583,23819640,23885164,24024872,24093679,24189264,24220470,24348798,24359748,24542192,24566990,24745018,24907906,25210543,25407616,25428158,25449826,25558018,25794470,25835168,26098018,26444983,26580703,26658028,26797095,26918743,26951790,27027981,27173218,27212922,27333946,27348364,27525246,27591752,27609966,27708418,27815266,27855679,27922089,28120783,28217112,28348546,28366481,28381708,28583568,28748576,28843879,28881705,28933306,28999700,29064564,29480388,29751583,29815879,29931160,29938786,30098188,30497241,30556526,30619169,30708463,30782764,30807152,30834823,30886018,30953364,31040721,31148218,31474209,31585665,31649143,31671418,31711279,31744251,31891310,32156514,32342148,32390023,32557186,32573623,32768150,32938879,33268808,33405969,33490018,33509548,33591800,33601783,33672555,33691376,33722390,33781063,33835665,33840679,34078423,34137679,34160506,34196863,34285305,34417666,34491703,34658046,34777018,34799640,34866028,35095700,35599521,35633505,35683865,35824783,35917392,35952226,36005529,36091376,36109543,36308218,36325940,36448879,36570992,36654605,36798248,37064263,37068418,37119616,37427409,37790775,37878105,37902798,37925626,38009072,38227066,38237068,38269572,38427706,38572588,38591383,38889849,39149595,39175879,39228583,39321780,39377305,39948062,39958879,40086375,40216279,40221946,40310160,40403312,40407066,40466868,40602798,40725679,40793133,40913164,40927423,40977679,41015505,41027863,41062018,41083401,41142366,41398029,41426743,41630061,41759568,41898136,41943232,42114840,42142306,42162223,42435586,42758800,42760206,42820638,42863725,42976183,42997504,43117666,43239628,43409026,43421609,43445263,43583673,43591128,43630879,43652180,43741670,43748218,43749872,43813928,43844986,43985526,43990018,44089879,44134906,44386705,44593905,44621841,44764879,44884745,44892748,44922496,44942143,45178509,45348930,45432418,45453726,45596623,45787953,45896503,46148218,46444063,46979514,47135403,47186136,47191546,47252766,47363673,47379195,47542423,47566832,47661223,47718705,47721875,48004814,48103650,48372192,48626023,48999343,49015713,49040019,49218606,49290669,49301506,49437823,49545823,49971343,50078792,50275066,50283679,50367418,50537808,50784364,50899952,50976950,51195706,51282705,51310560,51436470,51442879,51559865,51601279,51711044,51885325,51894200,52096063,52156712,52382616,52484503,52490004,52630663,53084403,53086279,53087005,53108218,53197303,53243746,53264046,53496679,53512686,53603383,53784418,53787343,53861694,53993263,54119623,54144679,54367546,54418716,54487903,54511879,54577281,54630679,54701552,54731264,54865568,54885703,54919208,55284223,55618879,55622764,55648569,55658626,56100706,56113575,56224049,56286679,56338641,56365186,56385325,56478343,56529103,56787213,56824516,56850943,56855034,56866279,57068660,57262446,57266250,57344863,57408223,57433063,57541279,57654679,57724380,57821143,57942823,57944505,58028143,58106263,58222543,58297423,58322983,58327879,58380975,58392679,58414063,58438543,58472023,58479583,58486279,58676301,58719586,58784537,58930443,59494018,59606729,59622586,59763628,59854480,60007426,60335405,60645946,60831865,61044105,61084000,61172340,61280866,61407418,61533826,61539246,61572672,61723764,61784109,61785128,61807472,61814333,61871838,62030870,62222313,62262390,62273040,62488100,62748346,63316929,63412666,63704406,64031746,64054765,64311969,64606306,65014786,65113712,65250496,65826946,66256673,66413216,66424576,66801875,66953218,67153018,67336290,67563353,67603825,67662390,67670626,67868986,67915208,68225026,68482392,68719500,68815546,68933793,69050746,69269256,69324418,69508269,69519418,69533406,69791746,69908218,70024546,70057170,70163198,70670188,70681018,70796386,71065018,71141626,71300648,71474249,71795305,71825376,71894188,71942146,72173216,72205588,72207418,72402486,72998238,73223266,73252926,73300800,73406808,73654329,73656950,73872920,74261505,74437044,74459901,74522746,74696141,74714868,74727648,74961593,74985720,75000418,75293026,75397773,75570913,75577305,75840364,76273018,76404609,76865718,77042691,77062906,77170018,77358152,77396241,77774266,77780248,77927913,78046865,78187520,78205665,78244588,78303586,78338746,78409018,79089038,79212272,79282018,79386106,79439788,79559266,79703769,79984768,80162250,80213229,80213626,80320070,80333164,80384866,80392665,80615792,80726146,80803548,80998018,81038993,81124590,81177880,81194868,81238916,81700073,81908026,81941506,82008418,82407628,82463400,82582659,82740226,82839418,83107035,83292364,83419376,83977910,84068604,84083386,84358935,84406906,84471418,84698408,84793018,84831033,85152470,85362248,85367866,85431418,85506400,85748218,85752176,85811386,86025512,86154366,86222764,86265305,86532896,86584121,86595949,86805388,86844418,86975949,87027921,87083213,87308218,87350961,87400546,87502779,87677164,87683725,87707266,87926241,87960960,88011848,88073218,88133986,88256908,88306190,88388340,88647504,88675905,89037826,89113806,89293105,89513986,89545305,89982864,90198273,90454018,90657466,90692766,91090786,91282665,91310888,91325115,92256826,92455517,92771325,92871418,93203386,93341026,93451665,93534017,93656238,93825024,93846798,93847161,93885105,93939752,94280896,94587632,94652390,95041018,95118573,95251949,95285709,95305018,95431250,95514992,95750146,95905352,96032529,96194700,96384084,96396346,96471198,96473218,96601018,96677506,96778701,97309306,97349508,97368176,97413456,97434466,97652001,97906426,98120073,98177026,98215948,98421346,98518088,98833018,98905186,98956080,99013329,99050061,99082281,99144706,99169832,99648633,99681776,99728442,...,462579685484927617302976837695585430508656510934607240440436415003466602510518612201864977788326227784889136019172700265802842319463815008603724379946727069255170631493489554395726427869566549056347387738987846185802644338233145893280703677525586150111341845031963551874798882669614762685613907618345758614074253865135315304358006886813369111141372021415521300645342451014930469252405504728284706230163257430142259223792070102797681085050834238852623127738548938252314350342900100036512062513718440406085374948589622748372778148276905997369176689482678647623832065703936348021535744866142603094337233962998478438337108249630857184879821722956792402135302990928472246510961533350276172058262075773870549528304848608109850553677796032983835584350607236623731955236055739575008002184982418010442325627205673202237251634662686210886254689694809716004843193403975572978959013319382814521252451881745048603760438124398515756655255805410746028505282302972695584605608852084740748017410114238463514705691696375787274953334687886531950686045155257463804541234366941396233696163693509029496161976513617993050471154339173812044118432119298503720330796606173791446005654459610608209155862975448845978021877488905169187661732606257161050750857792349616239049308679203438823619150387049226645672200267668483606134600643037345627417675255265699467349101332125418358320225007672990220388406640668568019238116179587089074961204223815585342199609333148808409971134797737626406523910098796355006167861371653363438478676698677319249601626543576167686465469293372837031949598461878713240032997587744296846713634769903623688454948836725535165166263359730134739658293090370038299742699574461636924835191846594662770481774458326219477740912092353582417364625057416990314126915999913147297129944047571243376791508707593256656410993650862993336253930502699553101818926286782039850406459703162947080639539905588692739872146977915625128965678181170829507043307916625312838126210886060769971303049331729904508819044769007883331192933719653731916168330151284298466433750100486736426605709484479868112540608372162135312326760696800490384258792189822659627044691786274134321075765527470620986779565880390239425107432023293881918381868924266189563873595783347669689352279816501169566160196082822352105788369449228807874456441895009148505477291690131462009943823051260644946175034480250833538418978186168929373808493797948026136306719308419998952858785611672129693778}
15297   999079823483150858989294687565267170255432781437015654160951818: {229335,244624,275202,321027,382175,458610,489184,550332,779127,1053699,1390207,1419459,1755935,1986010,2031043,2107122,2213135,2352658,2383212,2423319,2580799,2655762,2787639,2855303,2901490,3060627,3311203,3360940,3481788,3634498,3861539,4033128,4061554,4367506,4411007,4493735,4537269,4603479,4730290,4875027,5160922,5192140,5392482,5508499,5676348,5802220,5988584,6195154,6230568,6737157,6962664,7009389,7129527,7268044,7391164,7399059,7539922,7775887,7832997,7847799,8020425,8519719,8555120,8733868,8743479,8850220,8880839,9124882,9547539,9548125,9624510,9829372,9857314,9882323,9930455,10028578,10266144,10316047,10382920,10527639,10620264,10714423,10883319,10949827,11108410,11117288,11457750,11549412,11680785,11859459,11916546,11947797,12171167,12221600,12459504,12479127,12506949,12655959,12759868,13003858,13254007,13330092,13492492,13719527,13749300,13979139,14016942,14041960,14326540,14364719,14417986,14421455,14665920,14737210,14780392,14889225,15121527,15125698,15442108,15559827,15642610,15643648,15797205,15881840,16001923,16246906,16460387,16499160,16627941,16850352,17191848,17305746,17599104,17636503,17638005,17639404,17684652,17742327,17867070,17988335,18104903,18561555,18576940,18771132,18813872,18860039,18937954,18956646,19058208,19150807,19173178,19340829,19736979,19798992,20600259,20772627,20842185,20997625,21021763,21165606,21440484,21474418,21586002,21608140,21733666,22231664,22273866,22292328,22429858,22605772,22813699,22829543,22833448,22859890,23175699,23944119,24142783,24199827,24210247,24625527,24689973,24809543,24812125,24880659,24890722,25010622,25078869,25155004,25197150,25220499,25475127,25687629,25929768,26189765,26367335,26876960,26956258,27054220,27431868,27494764,27599687,28177719,29017239,29110207,29170989,29277826,29392825,29479954,29519799,29745683,29774550,29856455,30031090,30151784,30236580,30449685,30677740,30689079,31427718,31560058,31568323,31579954,31640802,31759520,31999618,32019639,32041399,32198467,32252352,32293960,32409058,32434179,32465064,32479664,32765379,32799442,33013527,33178839,33257938,33322535,33736823,33920757,34116514,34185455,34304143,34381759,34489690,34930738,35156602,35246879,35271390,35352898,35477135,35729460,35827746,35935720,36037308,36249625,36283896,36330705,36523197,36539622,36660869,36700328,36813288,36850485,37117527,37192963,37229452,37361859,37413950,37622735,37622816,37663447,37863319,38111424,38142237,38174739,38281138,38326823,38337027,38337187,38478455,38508940,38580839,38691705,38752752,39147027,39307184,39403439,39851239,39982099,39987042,40427685,40662988,40759827,40819383,40824514,41000919,41020087,41022546,41271152,41287869,41345239,41387628,41414949,41562627,41586010,41620978,41722899,41886935,41965612,41989750,42114220,42325668,42522819,42572562,42875352,43000282,43122864,43399959,43499550,43582535,43596846,43661839,43753747,43818943,43869625,44220582,44342338,44429687,44435303,44537458,44541292,44896740,44908179,45105943,45114220,45147282,45407425,45637123,45713740,45834789,45952343,45997810,46168378,46174146,46210728,46329027,46399520,46430046,46722327,47044583,47466028,47507127,47511340,47696687,47796335,47836965,47863858,47889856,47918722,48007372,48054307,48215735,48234771,48513222,48835779,49152225,49903212,50235027,50264322,50387700,50504140,50512967,50537064,50583585,51026096,51038242,51141455,51240759,51362434,51626499,51633719,51853132,51987069,52165527,52196903,52199460,52299042,52372670,52429040,52643550,52890799,53448500,53746880,53876088,53928339,53955824,54049535,54061987,54081538,54137064,54223906,54390844,54462327,54488910,54565225,54687340,54767410,54777868,54856488,55197372,55211362,55506748,55602627,55679424,56115935,56153120,56854197,56888439,56974498,57013608,57022163,57094184,57095999,57340599,57355602,57404358,57505463,57641559,57858882,58025987,58089527,58111564,58121504,58647368,58982670,59063314,59387122,59404306,59425807,59458540,59495788,59602243,59922093,60086879,60115463,60238012,60332919,60465240,60604968,60610599,60700302,60904197,61050604,61369746,61593027,61713549,62388067,62598490,62639352,62847204,62914848,63003688,63151564,63172260,63213459,63418463,63480455,63624940,63653379,63744263,64076386,64138200,64140309,64230957,64327162,64496256,64638805,64676499,64859442,64867750,65113539,65195890,65354284,65386692,65478270,65482807,65612505,65622327,65624808,65720892,65767479,65978289,65985027,66202359,66259619,66358834,66458663,66693239,66879586,67141007,67339122,67383744,67688383,68023395,68057717,68148627,68180589,68313887,68376940,68414080,68522003,68581960,68649010,69222327,69277042,69310738,69528455,69586834,69843488,69968866,69986672,70469271,70538818,70779204,70787319,70879149,71018728,71030645,71065306,71335825,71350248,71546914,71815592,71912303,72007221,72155475,72329939,72558288,72769708,72991954,73109074,73134143,73827909,73889266,73952259,74111107,74198092,74691967,74704535,74818100,74941906,75033154,75118188,75272323,75412599,75551127,75716284,75806712,75995386,76176546,76349928,76355000,76465425,76793559,76831807,76965840,77010367,77089282,77154705,77231410,77259340,77566566,77767303,77841300,78039442,78110125,78235068,78573924,78735006,78813634,79141103,79547399,79662327,79792498,79865619,79896069,79897027,79953634,80269029,80392607,80676627,80715898,80792541,81392140,81551319,81563120,81628074,81794339,82052328,82096896,82197283,82298352,82378812,82495784,82764178,82963084,83016520,83030720,83434146,83437378,83487939,83511503,83575618,83596279,83917183,84151059,84422572,84547779,84894010,84939208,85197154,85236774,85282551,85602990,85749292,85841927,85893669,85899375,86203327,86586570,86773603,87082258,87221554,87626098,88079379,88087207,88337735,88765487,88975229,89049667,89125810,89207599,89241027,89433879,89507506,89577463,89625562,89645442,89781720,89867735,90011139,90181759,90201383,90216520,90256985,90619559,90968919,91179539,91309856,91626000,91758510,91911724,91921299,92111127,92113703,92288663,92300739,92308869,92341150,92359008,92585646,92677692,92711208,92807757,93046305,93393585,93409560,93679807,93732150,94001683,94122519,94482499,94800455,94888738,94911443,95118999,95522003,95556609,95650703,95693458,95767168,96047619,96536648,96697690,96818146,96899698,96909459,96952387,96994367,97225310,97330984,97522179,97670568,97734400,97805735,97875744,98092306,98205772,98474183,98740419,98994199,99015340,99249392,99279868,99299735,99558503,99619824,99636864,99750847,99980960,...,693869528227391425954465256543378145762984766401910860660654622505199903765777918302797466682489341677333704028759050398704263479195722512905586569920090603882755947240234331593589641804349823584521081608481769278703966507349718839921055516288379225167012767547945327812198324004422144028420861427518637921111380797702972956537010330220053666712058032123281950968013676522395703878608257092427059345244886145213388835688105154196521627576251358278934691607823407378471525514350150054768093770577660609128062422884434122559167222415358996053765034224017971435748098555904522032303617299213904641505850944497717657505662374446285777319732584435188603202954486392708369766442300025414258087393113660805824292457272912164775830516694049475753376525910854935597932854083609362512003277473627015663488440808509803355877451994029316329382034542214574007264790105963359468438519979074221781878677822617572905640657186597773634982883708116119042757923454459043376908413278127111122026115171357695272058537544563680912430002031829797926029067732886195706811851550412094350544245540263544244242964770426989575706731508760718066177648178947755580496194909260687169008481689415912313733794463173268967032816233357753781492598909385741576126286688524424358573963018805158235428725580573839968508300401502725409201900964556018441126512882898549201023651998188127537480337511509485330582609961002852028857174269380633612441806335723378013299413999723212614956702196606439609785865148194532509251792057480045157718015048015978874402439815364251529698203940059255547924397692818069860049496381616445270070452154855435532682423255088302747749395039595202109487439635555057449614049361692455387252787769891994155722661687489329216611368138530373626046937586125485471190373999869720945694916071356865065187263061389884984616490476294490004380895754049329652728389430173059775609689554744420620959309858383039109808220466873437693448517271756244260564961874937969257189316329091154956954573997594856763228567153511824996789400579480597874252495226926447699650625150730104639908564226719802168810912558243202968490141045200735576388188284733989440567037679411201481613648291205931480169348820585359137661148034940822877572803386399284345810393675021504534028419724751754349240294124233528158682554173843211811684662842513722758215937535197193014915734576890967419262551720376250307628467279253394060712740696922039204460078962629998429288178417508194540667}
15298  1003557664833544272427359126113970414622138732141484331673403886: {168157,214046,305780,366936,412803,428036,442801,580526,611480,687915,733776,825498,1038836,1081117,1129166,1404932,1892612,2077057,2257201,2404286,2526877,2809496,2885437,2948606,2974897,2979015,3129758,3160683,3177616,3231092,3310766,3528987,3541016,3574818,3716852,3983643,4080836,4201175,4219777,4352235,4642384,4753646,5041410,5187997,5222682,5240011,5363101,5377504,5451747,5973697,6049692,6092331,6137972,6234301,6407677,6490175,6500036,6551259,6722558,6926077,7095435,7189976,7252775,7485730,7568464,7741383,7788210,8088723,8210737,8307424,8497358,8514522,8703330,8804701,8982876,9085055,9238955,9283552,9292731,9345852,9379358,9395137,9506036,9647101,9727627,9865412,9898417,10433006,10443996,10463732,10693900,10902066,10917335,10957886,11062657,11062775,11086746,11132558,11309883,11657972,11721601,12177566,12286715,12730052,12782557,12832680,12932843,12978650,13100802,13106557,13275330,13348801,13687323,13688192,13896610,13911517,13991617,14036852,14160352,14436765,14511092,14744058,14767406,14785971,14947201,15042867,15277000,15399216,15499837,15574380,15812612,15888728,15930396,15949835,16462138,16612672,16638836,16662615,16675932,16865615,16874612,17136577,17186625,17324118,17552450,17773456,17874819,17908175,18001358,18057601,18210097,18332400,18475490,18638852,18689256,18843758,19043677,19139802,19302635,19452706,19505787,19554560,19852300,19943101,19979267,19995138,20162036,20238738,20623950,20684701,20746436,21025413,21062940,21349358,21489810,21515246,21626979,21928897,21998880,22001437,22049255,22105815,22146301,22170588,22467136,22688547,22922464,23074328,23163162,23221175,23366017,23463915,23465472,23517340,23579536,23656436,23822760,24008699,24370359,24424957,24748740,24802766,24843997,25028176,25191217,25275528,25290926,25410944,25467697,25787772,25811677,25958619,26101646,26315972,26382811,26398656,26459106,26526978,26800605,27010175,27035101,27370801,27467012,27504577,27696836,27789580,27837757,27865410,28156698,28220808,28257215,28406931,28419706,28434969,28541810,28587312,28759767,28781336,29698488,29723104,29863297,30311101,30501937,30755377,30900932,30944701,31387763,31443755,31748409,31757617,31832558,31925492,32112787,32160726,32211627,32266436,32379003,32412210,32600499,32613758,32834036,32919964,33105601,33174212,33347496,33410799,33438492,33524023,33587137,33596200,33627332,33644787,33817775,33885757,33908658,33966836,34165358,34250172,34289835,34300801,34368455,34393786,34573024,35004097,35178301,35582257,35925697,36112258,36313406,36575824,36604801,37336083,37515933,37570292,37689730,37732506,37795725,38149057,38347175,38633437,38689652,38894652,39217537,39359732,39482558,39699400,39844801,40103101,40205917,40315440,40359601,40367450,40434387,40581330,40599580,40630106,40918772,41018077,41117246,41147802,41218237,41242146,41903624,41958577,42187736,42250177,42692852,42730417,42920497,43003136,43026686,43062301,43245572,43286752,43530301,43687172,43916739,44018036,44044766,44082397,44219931,44238452,44478926,44647834,44661825,44668801,44802397,44919650,45046635,45227676,45330301,45343358,45354870,45486926,45875410,46016610,46102717,46187101,46202606,46536815,46687357,46810801,46892737,47028520,47096317,47141577,47211346,47340087,47369931,47461203,47617201,47623166,47639280,47770328,47999427,48009601,48049744,48136175,48187358,48279997,48378528,48440940,48613587,48697596,48697777,48719496,49084384,49133980,49199163,49490036,49757437,49815812,49886907,49957411,50384701,50421086,50789917,50815232,50828735,50856316,50899652,51116036,51174771,51314077,51316447,51537601,51588940,51670336,51695101,51734535,51757597,51943357,52196036,52247197,52396107,52457015,52642775,52660477,52689457,52734903,52804657,52889966,52907085,53029347,53161406,53316056,53594190,53631937,53741619,53837486,53903580,53919037,54021277,54055962,54346436,54425844,54586801,54667892,54696728,54751357,54809433,55050492,55092097,55114237,55128227,55183504,55219932,55310257,55331677,55374301,55416836,55541917,55630532,55676615,55711358,55744957,55844178,56073601,56120925,56241566,56392775,56434224,56569537,56602801,56652157,56684701,56697092,56732962,56763416,56764801,57067201,57142175,57166237,57167136,57301597,57404701,57421707,57497152,57585601,57608497,57687758,57718657,57763410,57866612,57898801,57962557,57999400,58087297,58129128,58182301,58234717,58259197,58293757,58315357,58330801,58417201,58470337,58478977,58495537,58505437,58507201,58960776,59332535,59389175,59503166,59631758,59862320,59877572,59980563,60009215,60196376,60994482,61113052,61236771,61238338,61416926,61533819,61565528,61614304,61669646,61772036,61906728,62081442,62141387,62296436,62379015,62431467,62838643,62948418,62984625,63130175,63171330,63298286,63342836,63422558,63488502,63782620,63858843,64313028,64500423,64684296,64780046,64816415,65114372,65147246,65249325,65395269,65536300,65877758,66330873,66513507,66537616,66806187,66810625,66811938,66980036,67019096,67183600,67203566,67345110,67382752,67444780,67562126,67671330,67681358,67720923,67988555,68156846,68275358,68321012,68359175,68393726,68472335,68570610,68835332,68983406,68996715,69252567,69261219,69316092,69383435,69554036,69599280,69645069,69732056,70191400,71199042,71267010,71367730,71649566,71795787,71834784,71878083,71904452,72011058,72182752,72183811,72219086,72616436,72639455,72651880,72769833,72897758,73141984,73309210,73596496,74128526,74136836,74239232,74321807,74323175,74369735,74854818,75297515,75396483,75581550,75756210,75805596,75851252,76018144,76313255,76454132,76474136,76539144,76557363,76855412,77043651,77145176,77182766,77779698,78299190,78351758,78448563,78457166,78559005,78643560,78754610,78939455,78965325,79257299,79531175,79847599,79896124,79917758,80172750,80432558,80443892,80620320,80806624,80814132,80933736,81122307,81205596,81335859,81451358,81586266,81692855,81733365,81826328,81854846,81955358,82031010,82055726,82124036,82151115,82166802,82284732,82651943,82796058,82817043,82853486,83260122,83519136,83796272,83886464,84229680,84284612,84324446,84469567,84871172,85164611,85461747,85471175,85517600,85520412,85641276,85727450,85952366,85995008,86033403,86106537,86235332,86479256,86788323,86818052,86843218,86890526,87167346,87182256,87261758,87304360,87483340,87496436,87499744,87627856,87689972,87971052,87980036,88179758,88269812,88474005,88594971,88687379,88773410,89080683,89106459,89187810,89243682,89311079,89529758,89676671,89769490,89785496,89844992,89884286,90357018,90697860,90864836,90907452,90962135,91050453,91193246,91575906,91793006,92054619,92296436,92747615,92888126,93522625,93897735,93959028,94270806,94372272,94383092,94505532,94645355,94727346,94758390,95084846,95133664,95322446,95437410,95443750,96009628,96114579,96207300,96490743,96574175,96744384,97252046,97289163,97301625,97793835,97998686,98031426,98080038,98217405,98437212,98581338,98603012,98875646,99091646,99538251,99942686,...,925159370969855234605953675391170861017313021869214480880872830006933205021037224403729955576652455569778272038345400531605684638927630017207448759893454138510341262986979108791452855739133098112694775477975692371605288676466291786561407355051172300222683690063927103749597765339229525371227815236691517228148507730270630608716013773626738222282744042831042601290684902029860938504811009456569412460326514860284518447584140205595362170101668477705246255477097876504628700685800200073024125027436880812170749897179245496745556296553811994738353378965357295247664131407872696043071489732285206188674467925996956876674216499261714369759643445913584804270605981856944493021923066700552344116524151547741099056609697216219701107355592065967671168701214473247463910472111479150016004369964836020884651254411346404474503269325372421772509379389619432009686386807951145957918026638765629042504903763490097207520876248797031513310511610821492057010564605945391169211217704169481496034820228476927029411383392751574549906669375773063901372090310514927609082468733882792467392327387018058992323953027235986100942308678347624088236864238597007440661593212347582892011308919221216418311725950897691956043754977810338375323465212514322101501715584699232478098617358406877647238300774098453291344400535336967212269201286074691254835350510531398934698202664250836716640450015345980440776813281337136038476232359174178149922408447631170684399218666297616819942269595475252813047820197592710012335722743306726876957353397354638499203253087152335372930938586745674063899196923757426480065995175488593693427269539807247376909897673451070330332526719460269479316586180740076599485399148923273849670383693189325540963548916652438955481824184707164834729250114833980628253831999826294594259888095142486753583017415186513312821987301725986672507861005399106203637852573564079700812919406325894161279079811177385479744293955831250257931356362341659014086615833250625676252421772121539942606098663459809017638089538015766662385867439307463832336660302568596932867500200973472853211418968959736225081216744324270624653521393600980768517584379645319254089383572548268642151531054941241973559131760780478850214864046587763836763737848532379127747191566695339378704559633002339132320392165644704211576738898457615748912883790018297010954583380262924019887646102521289892350068960501667076837956372337858747616987595896052272613438616839997905717571223344259387556}
15299  1008055415949240213326522734954016912867069539334594141857767790: {15299,321069,382225,458670,489248,535045,550404,642054,764350,870789,917220,978368,1100664,1238247,1298545,1558254,1693749,1756165,1848517,2107398,2365765,2458309,2780414,2838918,2855677,3098389,3191221,3374449,3511870,3606429,3972020,4038865,4062086,4214244,4422909,4426270,4563637,4646065,4694637,4705316,4766424,4846638,4867621,4929949,4966149,5101045,5161598,5311524,5362227,5575278,5710606,5802980,5966269,6121254,6291229,6622406,6721880,6963576,7130469,7268996,7562115,7672465,7723078,7834023,7879597,8066256,8123108,8125045,8735012,8822014,8987470,9074538,9206958,9460580,9750054,10083837,10217317,10321844,10384280,10495537,10622977,10784964,11016998,11228595,11352696,11604440,11679109,11682315,11882545,11884477,11977168,12331765,12390308,12461136,12746037,12771783,12817681,13054995,13079665,13367375,13474314,13603069,13902637,13925328,14018778,14069037,14259054,14536088,14572465,14782328,14798118,14879821,15065437,15079844,15333589,15551774,15649509,15665994,15695598,15912565,16040850,16345009,16353099,16436829,16630119,16698837,16872757,17039438,17110240,17467736,17486958,17546065,17700440,17761678,18138865,18249764,18266349,18988069,19095078,19096250,19249020,19353517,19467975,19651203,19658744,19714628,19764646,19765765,19860910,19912995,20057156,20190037,20532288,20632094,20649469,20765840,20798545,20844915,21055278,21093265,21179917,21240528,21428846,21445789,21766638,21899654,22116087,22151109,22216820,22234576,22289137,22915500,22987009,23098824,23162821,23298565,23361570,23388529,23718918,23833092,23895594,24342334,24443200,24693207,24812821,24815375,24919008,24958254,25013898,25142557,25183669,25202545,25311918,25519736,25579777,25933045,25986177,26007716,26131237,26328675,26508014,26660184,26980369,26984984,27002037,27439054,27498600,27713235,27777277,27958278,28033884,28083920,28115569,28265637,28653080,28709703,28729438,28835972,28842910,29003437,29179059,29320369,29331840,29396675,29474420,29560784,29570545,29778450,29992707,30078037,30243054,30251396,30358107,30846709,30884216,30935925,31087789,31119654,31285220,31287296,31294741,31594410,31763680,32003846,32024037,32234715,32272869,32493812,32702197,32894965,32920774,32998320,33255882,33700704,34333765,34383696,34611492,34621045,34736975,34744743,34993717,35153989,35198208,35273006,35276010,35278808,35369304,35484654,35734140,35944837,35976670,36209806,36555109,36665671,36766381,36914269,37123110,37153880,37204149,37542264,37607317,37627744,37705861,37720078,37860709,37875908,37913292,37936389,38116416,38301614,38346356,38626165,38681658,38841277,39152469,39473958,39597984,39688659,39790467,39906865,40333045,41042545,41149955,41200518,41467765,41545254,41684370,41798115,41799037,41995250,42034165,42043526,42130189,42235047,42331212,42458545,42492637,42629559,42677137,42681649,42812715,42835861,42880968,42948836,43172004,43216280,43467332,44209357,44250229,44463328,44547732,44584656,44765677,44859716,45211544,45595537,45627398,45659086,45666896,45719780,46351398,46465777,46651549,46962865,47489749,47702989,47748837,47859637,47888238,47923921,48241089,48285566,48362065,48392989,48399654,48420494,48618315,48920637,49000477,49199665,49251054,49379946,49619086,49624250,49656709,49667989,49761318,49781444,49964689,50021244,50157738,50289037,50310008,50394300,50440998,50749475,50862987,50950254,51025789,51148465,51248037,51358501,51375258,51590679,51859536,52379530,52514449,52671829,52734670,53366065,53753920,53869837,53912516,54056965,54108440,54152437,54168387,54458437,54470109,54608965,54863736,54989528,55022545,55199374,55298065,55423357,56337349,56355438,56455669,56534595,56598759,56656657,57350821,57513061,58034478,58220414,58341978,58555652,58601329,58641709,58704337,58785650,58954621,58959908,59039598,59223837,59491366,59549100,59712910,59978869,60062180,60295297,60303568,60473160,60551175,60871995,60899370,60945159,60993061,61015549,61355480,61378158,61417475,61471357,61675869,61687249,61721703,61862545,61863219,62269765,62855436,63120116,63136646,63159908,63281604,63337969,63519040,63570395,63624565,63895045,63999236,64039278,64082798,64137277,64261357,64396934,64486175,64504704,64540029,64587920,64818116,64868358,64923589,64930128,64959328,65028997,65245045,65337841,65530758,65598884,65666557,66027054,66067149,66357678,66515876,66645070,66718389,66914869,66940621,66953437,66971751,67379475,67389829,67473646,67502029,67700881,67841514,67933045,68015037,68032305,68230389,68233028,68334865,68370910,68531221,68608286,68654449,68763518,68813115,68849077,68979380,69007429,69024915,69271045,69303909,69538165,69700549,69861476,70313204,70493758,70542780,70665421,70705796,70817019,70871365,70954270,71410789,71434749,71458920,71598037,71655492,71871440,72074616,72120877,72281037,72333265,72499250,72567792,72661410,73046394,73079244,73321738,73336309,73339957,73400656,73626576,73700970,74235054,74385926,74458904,74555437,74723718,74827900,74846965,75039949,75187717,75245470,75245632,75326894,75334129,75631629,75669349,75726638,76135477,76222848,76284474,76349478,76391315,76562276,76653646,76674054,76674374,76956910,77017880,77161678,77206837,77215045,77383410,77505504,77870545,77881009,78177877,78294054,78337381,78562309,78614368,78787117,78806878,79178545,79334949,79650049,79702478,79728275,79742109,79918597,79964198,79974084,80391285,80403229,80756229,80855370,80980549,81083943,81325976,81392965,81519654,81638766,81649028,81920375,82001838,82040174,82045092,82243921,82542304,82575738,82690478,82747621,82775256,82829898,83125254,83172020,83241956,83445798,83567037,83725045,83766267,83773870,83931224,83979500,84129277,84228440,84243589,84305975,84362349,84385969,84629677,84651336,84934657,84970741,85045638,85099443,85145124,85401265,85480837,85750704,85853269,86000564,86044165,86112049,86245728,86531637,86645115,86799918,86942545,86999100,87165070,87193692,87323678,87446449,87507494,87637886,87739250,87759397,88441164,88451821,88684676,88696597,88859374,88870606,88872637,89074916,89082584,89254749,89270917,89447637,89588929,89793480,89816358,89880565,90211886,90213301,90228440,90256837,90294564,90494327,90770545,90813637,90814850,91075069,91274246,91427480,91491723,91669578,91857507,91904686,91987549,91995620,92125389,92336756,92348292,92421456,92437477,92504469,92658054,92671045,92799040,92860092,93099997,93122163,93259057,93444654,93527437,94089166,94422627,94756995,94814065,94932056,94947429,95014254,95022680,95133837,95232753,95393374,95567665,95592670,95663341,95673930,95727716,95779712,95837444,96014744,96069265,96108614,96431470,96469542,96666037,96790549,97026444,97170069,97205137,97307461,97339837,97671558,97720869,98304450,98345089,98760037,98816637,99253309,99442903,99806424,99870155,99881221,99894709,...,1387739056454782851908930513086756291525969532803821721321309245010399807531555836605594933364978683354667408057518100797408526958391445025811173139840181207765511894480468663187179283608699647169042163216963538557407933014699437679842111032576758450334025535095890655624396648008844288056841722855037275842222761595405945913074020660440107333424116064246563901936027353044791407757216514184854118690489772290426777671376210308393043255152502716557869383215646814756943051028700300109536187541155321218256124845768868245118334444830717992107530068448035942871496197111809044064607234598427809283011701888995435315011324748892571554639465168870377206405908972785416739532884600050828516174786227321611648584914545824329551661033388098951506753051821709871195865708167218725024006554947254031326976881617019606711754903988058632658764069084429148014529580211926718936877039958148443563757355645235145811281314373195547269965767416232238085515846908918086753816826556254222244052230342715390544117075089127361824860004063659595852058135465772391413623703100824188701088491080527088488485929540853979151413463017521436132355296357895511160992389818521374338016963378831824627467588926346537934065632466715507562985197818771483152252573377048848717147926037610316470857451161147679937016600803005450818403801929112036882253025765797098402047303996376255074960675023018970661165219922005704057714348538761267224883612671446756026598827999446425229913404393212879219571730296389065018503584114960090315436030096031957748804879630728503059396407880118511095848795385636139720098992763232890540140904309710871065364846510176605495498790079190404218974879271110114899228098723384910774505575539783988311445323374978658433222736277060747252093875172250970942380747999739441891389832142713730130374526122779769969232980952588980008761791508098659305456778860346119551219379109488841241918619716766078219616440933746875386897034543512488521129923749875938514378632658182309913909147995189713526457134307023649993578801158961195748504990453852895399301250301460209279817128453439604337621825116486405936980282090401471152776376569467978881134075358822402963227296582411862960338697641170718275322296069881645755145606772798568691620787350043009068056839449503508698480588248467056317365108347686423623369325685027445516431875070394386029831469153781934838525103440752500615256934558506788121425481393844078408920157925259996858576356835016389081334}
15300  1012573164649275435794954592768593295020335265554163009978213713: {168179,198731,336314,351371,428092,442859,473339,564731,611560,625619,688005,733872,825606,856072,885602,899219,963081,1020611,1111571,1146525,1161052,1222960,1263011,1375830,1467552,1535099,1625651,1650996,1716131,1926971,2077672,2107379,2162234,2258332,2287499,2337381,2467331,2706659,2809864,2915651,3005099,3161097,3362171,3421571,3599579,3785224,4043339,4154114,4170621,4249811,4258377,4514402,4749611,4808572,4954739,4965025,5053754,5217899,5267805,5276291,5618992,5770874,5881645,5897212,5949794,5958030,6090419,6093129,6259516,6264059,6321366,6355232,6408539,6437411,6462184,6621532,6639405,6668099,6783251,7057974,7082032,7099259,7149636,7213931,7253725,7269957,7433704,7442891,7699859,7742397,7967286,7984619,8069891,8161672,8296931,8362917,8381939,8402350,8439554,8495171,8565909,8636531,8704470,8834099,9059411,9086245,9181881,9256139,9284768,9424451,9480491,9507292,9676379,9843971,9933609,10082820,10153885,10345019,10375994,10445364,10480022,10726202,10755008,10760579,10815851,10903494,10918765,10926299,11009051,11558891,11584617,11750579,11825725,11887259,11947394,12099384,12132779,12184662,12275944,12323291,12459131,12468602,12648971,12703139,12719077,12815354,12902305,12934537,12980350,13000072,13102518,13108379,13233021,13445116,13481205,13611807,13672691,13810437,13852154,13993571,14190870,14260091,14379952,14505550,14552339,14625081,14949299,14971460,14975699,15136928,15284269,15482766,15487885,15528251,15576420,15659291,15920771,16177446,16285499,16421474,16525497,16614848,16829651,16994716,17029044,17087531,17139011,17201401,17293259,17406660,17549699,17609402,17965752,18060179,18085619,18170110,18212699,18238091,18477910,18567104,18585462,18691704,18758716,18790274,18849805,19012072,19046411,19294202,19447499,19455254,19730824,19746971,19796771,19796834,20194019,20211471,20342459,20613851,20835179,20866012,20887992,20927464,21028167,21227051,21300299,21387800,21388581,21568259,21665459,21804132,21834670,21915772,22004651,22028819,22077131,22125314,22125550,22149539,22173492,22173659,22197177,22265116,22329769,22619766,22726211,22812205,23227019,23315944,23327661,23393171,23443202,23498991,23511611,23543397,23611861,23677091,24030371,24061275,24147731,24311699,24355132,24568571,24573430,24643285,24661739,25071445,25218059,25333379,25460104,25471499,25559157,25565114,25665360,25838411,25865686,25957300,26201604,26213114,26230437,26294171,26452931,26550660,26633891,26642517,26697602,27023689,27374646,27376384,27508739,27531011,27771025,27793220,27823034,27864131,27983234,28041059,28073704,28129331,28173419,28305491,28320704,28373917,28590659,28642617,28644375,28873530,28896251,29022184,29221931,29373299,29488116,29534812,29545811,29571942,29646969,29791365,29825051,29867891,29894402,30085734,30252011,30337019,30400691,30554000,30717971,30760139,30781211,30798432,30844379,30868957,30886451,30948141,30999674,31075379,31148760,31451291,31576019,31582917,31625224,31762571,31777456,31860792,31899670,32143269,32441051,32509645,32583851,32649957,32807459,32849481,32924276,33225344,33277672,33325230,33351864,33492491,33612419,33652331,33731230,33749224,33891131,33910979,34010099,34128779,34273154,34325939,34373250,34541891,34648236,34893179,34970891,35029091,35042355,35080441,35104900,35415251,35546912,35578377,35749638,35760059,35816350,35836331,35843391,36002716,36044965,36045419,36115202,36215771,36420194,36460691,36498251,36513501,36629459,36664800,36843025,36890699,36950980,37002179,37076339,37094629,37113371,37242731,37277704,37353299,37378512,37437381,37463579,37520847,37687516,37719779,37814245,37967877,38087354,38155331,38279604,38550539,38604131,38605270,38639819,38746691,38905412,38977259,39011574,39106525,39109120,39171299,39224051,39241619,39560101,39704600,39712931,39762021,39764939,39851459,39868739,39886202,39958534,39990276,40006691,40109819,40126979,40229771,40324072,40383419,40477476,40570331,40617265,40739411,40974779,41025011,41041739,41158581,41247900,41291699,41369402,41391179,41440811,41492872,41769851,41937417,41965739,41982011,42050826,42125880,42305771,42466451,42698716,42979620,43030492,43094157,43253958,43264365,43676891,43723091,43857794,43953011,43997760,44002874,44021257,44098510,44105291,44181131,44211630,44286971,44292602,44341176,44377379,44512451,44587211,44667675,44691539,44810291,44934272,45119579,45207299,45294731,45352859,45364581,45377094,45396371,45555299,45612851,45844928,46110971,46125059,46148656,46195379,46326324,46442350,46679481,46732034,46737011,46819259,46832939,46901219,46914851,46927830,46930944,46982891,47034680,47118371,47159072,47279891,47312872,47344885,47391615,47480171,47645520,47718131,47901419,47932945,47940491,48005769,48017398,48018419,48115837,48224819,48263291,48365531,48719339,48740718,48849914,48893891,48980579,49017611,49165019,49381161,49444331,49480451,49497480,49516499,49605532,49659971,49687994,49837691,49883823,50013611,50056352,50325731,50382434,50394299,50405699,50473931,50551056,50581852,50799659,50821888,50935394,51009419,51129539,51194651,51270251,51324011,51334739,51430931,51494699,51558179,51575544,51623354,51902171,51917238,52055651,52116539,52203292,52357211,52465979,52505291,52564019,52631944,52670939,52680611,52765622,52797312,52815179,52909509,52914015,52918212,53053956,53154011,53226981,53237099,53428451,53455499,53518331,53536211,53601210,53642819,53651651,53678099,53686045,53774459,53826611,53965005,53981339,54020350,54032339,54070202,54141851,54241739,54314709,54334165,54413771,54478379,54526499,54550451,54598139,54741602,54908699,54934024,55009154,55021859,55177259,55199171,55242779,55321979,55343411,55350539,55386059,55393139,55393672,55449491,55470491,55539971,55579160,55675514,55684665,55730820,55736939,55823051,55940051,56035571,56054459,56074645,56092019,56123099,56160131,56251451,56311331,56313396,56340971,56411291,56441616,56514430,56580117,56582051,56620859,56664731,56697299,56702699,56777459,56798531,56813862,56839412,56855819,56869938,56876411,57083620,57084899,57127739,57149725,57155939,57174624,57247859,57305891,57319091,57340931,57353939,57379739,57434651,57452421,57459539,57496331,57519534,57528491,57540419,57562672,57567971,57602819,57621899,57625691,57655739,57688931,57732179,57735731,57763859,57855011,57893651,57912539,57915659,57976379,58022487,58028291,58061459,58077611,58116731,58134371,58170851,58184939,58196459,58229819,58242659,58251059,58298771,58326251,58329779,58331531,58336739,58360091,58387811,58404851,58431899,58433099,58456451,58468211,58475411,58486019,58492571,58502051,58510619,58511891,58514219,58516571,58517171,58518011,59210937,59396976,59446208,59726594,60622202,61003874,61510754,61800777,61801864,61889402,62226805,62317881,62526555,62775526,62887510,62992875,63065289,63496818,63515234,63665116,63850984,64225574,64321452,64423254,64532872,64758006,64824420,65151541,65200998,65227516,65668072,65839928,66211202,66348424,66694992,66821598,66876984,67048046,67174274,67192400,67254664,67289574,67390645,67635550,67771514,67817316,67933672,68233957,68330716,68441097,68488629,68500344,68579670,68601602,68736910,68787572,69146048,69527097,70008194,70356602,71160229,71164514,71832357,71851394,72224516,72428349,72599481,72626812,72630741,73151648,73194565,73209602,73439821,73699885,73876581,74069919,74428629,74436375,74641977,74672166,75031866,75077725,75140584,75236607,75379460,75465012,75591450,75661497,76298114,76425381,76694350,77062887,77266874,77379304,77789304,77947261,78435074,78569295,78719464,78900145,78949885,78965116,79102005,79398800,79689602,79999045,80206202,80411834,80630880,80719202,80734900,80868774,81022645,81162660,81199160,81260212,81837544,81998605,82036154,82234492,82295604,82436474,82484292,82799061,83065549,83144845,83807248,83917154,84012901,84375472,84500354,84533157,85291285,85385704,85460834,85840994,86006272,86053372,86124602,86224225,86491144,86573504,87051717,87060602,87326845,87330621,87374344,87512967,87833478,87891505,88036072,88089532,88164794,88178475,88352077,88382245,88439862,88476904,88559397,88957852,89237049,89295668,89323650,89337602,89569365,89604794,89839300,90093270,90455352,90660602,90686716,90709740,90742981,90973852,91349055,91750820,92033220,92067237,92205434,92374202,92375701,92405212,93073630,93374714,93534875,93621602,93667717,93785474,94057040,94192634,94283154,94422692,94680174,94704969,94739862,94922406,95183977,95234402,95246332,95278560,95540656,95702845,95861269,95998854,96019202,96058917,96099488,96124197,96272350,96374716,96559994,96595401,96757056,96881880,97136809,97227174,97302537,97395192,97395554,97438992,97679569,98168768,98267960,98296137,98398326,98980072,99040581,99514874,99536517,99631624,99773814,99914822,99967605,...,2081608584682174277863395769630134437288954299205732581981963867515599711297333754908392400047468025032001112086277151196112790437587167538716759709760271811648267841720702994780768925413049470753563244825445307836111899522049156519763166548865137675501038302643835983436594972013266432085262584282555913763334142393108918869611030990660161000136174096369845852904041029567187111635824771277281178035734658435640166507064315462589564882728754074836804074823470222135414576543050450164304281311732981827384187268653302367677501667246076988161295102672053914307244295667713566096910851897641713924517552833493152972516987123338857331959197753305565809608863459178125109299326900076242774262179340982417472877371818736494327491550082148427260129577732564806793798562250828087536009832420881046990465322425529410067632355982087948988146103626643722021794370317890078405315559937222665345636033467852718716921971559793320904948651124348357128273770363377130130725239834381333366078345514073085816175612633691042737290006095489393778087203198658587120435554651236283051632736620790632732728894311280968727120194526282154198532944536843266741488584727782061507025445068247736941201383389519806901098448700073261344477796728157224728378860065573273075721889056415474706286176741721519905524901204508176227605702893668055323379538648695647603070955994564382612441012534528455991747829883008556086571522808141900837325419007170134039898241999169637844870106589819318829357595444583597527755376172440135473154045144047936623207319446092754589094611820177766643773193078454209580148489144849335810211356464566306598047269765264908243248185118785606328462318906665172348842148085077366161758363309675982467167985062467987649834104415591120878140812758376456413571121999609162837084748214070595195561789184169654953849471428883470013142687262147988958185168290519179326829068664233261862877929575149117329424661400620313080345551815268732781694885624813907771567948987273464870863721992784570289685701460535474990368201738441793622757485680779343098951875452190313919725692680159406506432737674729608905470423135602206729164564854201968321701113038233604444840944873617794440508046461756077412983444104822468632718410159197853037431181025064513602085259174255263047720882372700584476047662521529635435053988527541168274647812605591579044747203730672902257787655161128750922885401837760182182138222090766117613380236887889995287864535252524583622001}
15301  1017110999136953293808523061365406607360720079143699123091935705: {30598,504471,535115,642138,749063,764450,917340,978496,1070090,1100808,1238409,1284108,1328403,1451315,1528700,1741578,1817963,1834440,1956736,2063745,2184611,2201328,2458631,2476494,2597090,2822915,3116508,3191639,3243351,3312071,3374891,3387498,3512330,3697034,3771443,4214796,4731530,4916618,5203319,5509943,5560828,5654411,5677836,5711354,5752643,6010715,6196778,6231171,6382442,6504491,6668183,6748898,6771603,7023740,7141463,7212858,7371515,7580631,7824395,7944040,8077730,8124172,8276915,8428488,8656311,8845818,8852540,8924691,8937045,9127274,9292130,9312251,9389274,9410632,9482049,9532848,9693276,9735242,9859898,9932298,10202090,10323196,10586961,10623048,10724454,10741451,11141171,11150556,11375063,11421212,11605960,11872739,11884115,11932538,11950929,12075011,12219251,12242508,12582458,12603525,12659331,12970091,13056705,13244812,13443760,13701659,13927152,14045291,14260938,14537992,15124230,15344930,15446156,15563991,15668046,15720033,15759194,16089303,16132512,16210931,16246216,16250090,16355241,16635563,16806395,17206871,17264471,17332163,17470024,17472251,17585243,17644028,17921091,17974940,18149076,18276993,18311531,18413916,18702903,18714325,18921160,19223031,19470525,19500108,19653777,19940531,20167674,20297591,20401451,20434634,20643688,20768560,20778231,20845763,20991074,21243395,21245954,21286305,21349451,21569928,21758325,22033996,22277591,22457190,22705392,23208880,23224149,23358218,23364630,23448395,23765090,23768954,23954336,23968823,24266169,24564491,24632211,24663530,24780616,24922272,25001531,25030811,25043363,25145879,25394411,25492074,25543566,25635362,25691363,26082515,26109990,26159330,26414103,26462363,26734750,26827571,26948628,27206138,27255165,27374243,27394715,27616583,27672071,27716865,27805274,27831395,27850656,27878193,28037556,28138074,28185411,28518108,28941303,29072176,29117963,29144930,29182881,29324243,29530571,29564656,29596236,29695251,29713931,29759642,30130874,30159688,30443915,30667178,30882371,31103548,31299018,31331988,31391196,31423283,31825130,32081700,32176283,32446625,32617991,32690018,32706198,32752005,32827691,32873658,33034199,33187971,33188325,33260238,33397674,33452999,33745514,33929649,34078876,34220480,34741525,34807163,34935472,34973916,35092130,35164803,35283563,35400880,35523356,35546771,36277730,36306263,36499528,36532698,36860145,36918515,37938659,37976138,38012699,38190156,38192500,38347671,38498040,38559863,38648051,38707034,38798529,38935950,39076151,39302406,39317488,39319671,39429256,39529292,39531530,39721820,39825990,39912011,40046403,40114312,40380074,41061969,41064576,41155345,41264188,41298938,41356211,41398763,41531680,41597090,41689830,41734551,41735171,41900291,41974851,42110556,42186530,42359834,42481056,42857692,42891578,43310295,43410839,43533276,43558331,43799308,43881125,44232174,44302218,44357913,44433640,44445011,44469152,44578274,44841603,45003395,45128601,45454691,45625211,45744611,45831000,45974018,46052951,46188725,46197648,46325642,46365911,46499511,46597130,46723140,46777058,47109395,47437836,47666184,47791188,47823863,47849505,48067271,48399383,48469463,48631765,48684668,48886400,49099571,49386414,49513571,49625642,49630750,49838016,49916508,49987845,50027796,50218571,50285114,50367338,50405090,50596845,50597591,50623836,51039472,51159554,51229019,51409731,51559875,51866090,51932339,51972354,52015432,52262474,52657350,52904891,53016028,53320368,53373395,53624457,53724525,53788115,53960738,53969968,54004074,54066851,54076631,54172803,54601931,54630291,54765239,54878108,54997200,55426470,55554554,55869611,55916556,56067768,56167840,56231138,56466263,56531274,57028823,57096251,57131031,57306160,57419406,57458876,57459563,57609937,57671944,57685820,57778571,57907905,58006874,58054871,58358118,58517361,58640738,58663680,58793350,58847831,58948840,59121568,59141090,59441963,59556900,59829303,59937801,59985414,60156074,60244151,60486108,60502792,60716214,61479479,61693418,61768432,61871850,62006915,62012051,62054103,62175578,62239308,62570440,62574592,62589482,63076239,63188820,63227315,63236531,63527360,64007692,64048074,64359971,64469430,64545738,64880937,64987624,65199479,65254115,65404394,65495603,65500331,65748011,65786691,65789930,65841548,65996640,66004311,66147765,66214859,66317445,66438903,66511764,67401408,67706891,67778243,68065641,68667530,68767392,68858339,68879531,69164891,69222984,69242090,69473950,69489486,69663525,69673643,69843899,69987434,70098051,70307978,70391745,70396416,70546012,70552020,70557616,70738608,70969308,71003363,71049265,71128763,71354525,71468280,71607851,71682839,71715479,71889674,71953340,72026097,72419612,73060859,73110218,73111077,73274871,73331342,73532762,73828538,74152451,74246220,74307760,74408298,74531991,74712491,75084528,75214634,75255488,75411722,75440156,75513911,75573651,75679751,75721418,75751816,75826584,75872778,76232832,76335671,76403091,76452551,76603228,76692712,76731443,76852451,77031563,77252330,77363316,77417291,77435031,77605931,77682554,77875857,78304938,78947916,79111643,79148433,79195968,79212659,79377318,79580934,79581395,79813730,80401815,80666090,80991443,81030525,81105303,81367091,81534395,82085090,82112403,82299910,82401036,82513731,82630391,82935530,83090508,83368740,83513271,83596230,83598074,83739959,83990500,84068330,84087052,84260378,84470094,84662424,84771645,84917090,84954551,84985274,85220793,85259118,85304907,85354274,85363298,85413395,85625430,85631363,85671722,85761936,85897672,85984465,86174579,86279301,86344008,86432560,86607563,86934664,86986283,87177671,87364283,87458003,87756563,88110971,88418714,88500458,88858211,88926656,88998553,89020643,89074391,89077811,89095464,89169312,89453063,89531354,89589891,89719432,89978291,90205691,90280645,90423088,90783515,90933303,91074131,91191074,91254796,91318172,91333792,91343063,91439560,91505811,91999703,92050811,92158259,92266131,92702796,92834103,92931554,93271379,93303098,93383411,93925730,94026839,94163289,94224325,94331265,94449251,94979498,95105771,95106263,95245227,95272851,95405978,95497674,95668811,95719274,95776476,95847842,96338361,96482178,96571132,96597491,96634881,96724130,96785978,96799308,96840988,96979463,97137009,97236630,97353431,97792643,97801497,97841274,98000954,98038391,98089751,98358083,98375363,98399330,98502108,98706395,98759892,99219911,99238172,99248500,99266423,99313418,99316803,99335978,99522636,99562888,99929378,...,2775478112909565703817861026173512583051939065607643442642618490020799615063111673211189866729957366709334816115036201594817053916782890051622346279680362415531023788960937326374358567217399294338084326433927077114815866029398875359684222065153516900668051070191781311248793296017688576113683445710074551684445523190811891826148041320880214666848232128493127803872054706089582815514433028369708237380979544580853555342752420616786086510305005433115738766431293629513886102057400600219072375082310642436512249691537736490236668889661435984215060136896071885742992394223618088129214469196855618566023403777990870630022649497785143109278930337740754412811817945570833479065769200101657032349572454643223297169829091648659103322066776197903013506103643419742391731416334437450048013109894508062653953763234039213423509807976117265317528138168858296029059160423853437873754079916296887127514711290470291622562628746391094539931534832464476171031693817836173507633653112508444488104460685430781088234150178254723649720008127319191704116270931544782827247406201648377402176982161054176976971859081707958302826926035042872264710592715791022321984779637042748676033926757663649254935177852693075868131264933431015125970395637542966304505146754097697434295852075220632941714902322295359874033201606010901636807603858224073764506051531594196804094607992752510149921350046037941322330439844011408115428697077522534449767225342893512053197655998892850459826808786425758439143460592778130037007168229920180630872060192063915497609759261457006118792815760237022191697590771272279440197985526465781080281808619421742130729693020353210990997580158380808437949758542220229798456197446769821549011151079567976622890646749957316866445472554121494504187750344501941884761495999478883782779664285427460260749052245559539938465961905177960017523583016197318610913557720692239102438758218977682483837239433532156439232881867493750773794069087024977042259847499751877028757265316364619827818295990379427052914268614047299987157602317922391497009980907705790798602500602920418559634256906879208675243650232972811873960564180802942305552753138935957762268150717644805926454593164823725920677395282341436550644592139763291510291213545597137383241574700086018136113678899007017396961176496934112634730216695372847246738651370054891032863750140788772059662938307563869677050206881505001230513869117013576242850962787688156817840315850519993717152713670032778162668}
15302  1021669008001511735575459921468783003797410130738337274693656272: {45897,198757,336358,397462,473401,656137,672628,702742,856184,885718,929701,946678,963207,1129462,1146675,1223120,1251238,1376010,1467744,1565497,1605135,1651212,1656037,1712144,1771204,1798438,1910875,1926162,2041222,2223142,2293050,2322104,2445920,2467657,2526022,2612367,2736901,2751660,2935104,3070198,3184201,3251302,3301992,3432262,3451717,3629701,3714741,3853942,3895635,4073401,4155344,4214758,4324468,4516664,4574998,4674762,4934662,5081247,5268495,5413318,5545551,5568517,5619728,5655817,5831302,6010198,6322194,6438277,6724342,6843142,6951035,7097295,7199158,7374927,7570448,7729417,8086678,8234303,8308228,8341242,8411401,8499622,8516754,8567031,8779675,9028804,9088777,9295167,9499222,9573663,9617144,9845317,9909478,9930050,10107508,10123347,10155215,10346437,10435798,10535610,10552582,10762057,10819287,10927801,11065675,11175877,11237984,11541748,11763290,11794424,11899588,11916060,11916217,12116595,12180838,12186258,12324997,12519032,12528118,12642732,12710464,12720743,12731977,12817078,12874822,12903995,12924368,13243064,13268727,13278810,13336198,13566502,13690911,13938195,14083911,14115948,14164064,14198518,14215439,14276515,14299272,14421637,14427862,14507450,14539914,14580901,14602863,14789847,14867408,14885782,14898447,14977801,15286271,15303135,15399718,15484794,15934572,15969238,16001317,16086681,16139782,16313797,16323344,16556015,16593862,16725834,16763878,16804700,16879108,16990342,17131818,17273062,17321401,17408940,17668198,17898807,18063227,18088201,18118822,18172490,18240697,18363762,18512278,18569536,18848902,18873687,18960982,19014584,19224901,19307695,19352758,19450297,19687942,19749817,19824517,19867218,20165640,20307770,20323039,20345401,20690038,20751988,20890728,20960044,21230137,21391407,21452404,21510016,21521158,21631702,21668617,21683039,21806988,21837530,21852598,22018102,22032037,22055035,22176901,22468675,22686345,22753477,23017395,23117782,23169234,23501158,23502069,23638791,23651450,23774518,23894788,24174757,24198768,24265558,24369324,24375135,24551888,24646582,24918262,24937204,25013701,25297942,25406278,25438154,25630708,25804610,25869074,25960700,26000144,26205036,26216758,26389727,26466042,26524837,26728201,26890232,26962410,27200197,27223614,27345382,27535177,27542495,27620874,27704308,27987142,28067401,28199737,28381740,28520182,28759904,28857097,29011100,29104678,29248057,29250162,29571877,29829637,29898598,29942920,29951398,30251511,30273856,30568538,30651951,30785977,30965532,30975770,31056502,31152840,31318582,31395991,31486611,31726117,31841542,31868931,31937087,32035897,32220901,32354892,32405257,32570998,32842948,33050994,33229696,33532811,33659302,33685785,33856777,33916357,33989432,34058088,34153957,34175062,34213177,34278022,34402802,34500599,34508197,34586518,34813320,34918201,35037327,35046945,35099398,35100023,35218804,35497801,35647635,35653431,35931504,36120358,36171238,36340220,36425398,36476182,36915301,36955820,36995295,37134208,37170924,37359397,37383408,37469701,37517432,37580548,37699610,38024144,38092822,38238111,38315349,38453043,38588404,38879435,38894998,38910508,38983717,39164985,39195397,39238995,39248137,39461648,39493942,39593542,39593668,39875401,39978937,40102125,40133701,40388038,40422942,40684918,40809207,40998457,41048677,41227702,41458703,41670358,41707911,41732024,41775984,41793337,41854928,41891401,41989177,42056334,42207111,42232357,42454102,42598595,42600598,42775600,42777162,42998437,43136518,43330918,43608264,43669340,43717395,43831544,43839107,44009302,44057638,44154262,44250628,44251100,44299078,44346984,44347318,44394354,44404195,44530232,44609977,44639463,44659538,45196311,45229897,45239532,45452422,45513503,45577801,45624410,46000767,46133317,46301797,46454038,46631888,46655322,46759177,46786342,46841401,46886404,46923337,46948527,46997982,47023222,47086794,47223722,47354182,47726857,47737695,47740625,48060742,48122550,48233701,48295462,48623398,48690757,48710264,48915397,49035027,49059297,49137142,49146860,49174201,49286570,49310487,49323478,49411615,49465657,49537801,49609657,49652275,49890357,50096511,50142890,50346757,50415301,50436118,50462951,50618271,50666758,50920208,50942998,50986297,51118314,51130228,51150277,51330720,51344677,51504697,51580235,51676822,51731372,51819337,51914600,52403208,52426228,52460874,52574437,52588342,52638195,52691077,52905862,52939943,53101320,53267782,53285034,53395204,53555977,53572115,53609401,53662537,54000901,54047378,54178057,54203077,54252901,54416595,54425017,54497701,54545797,54569737,54664777,54688357,54735301,54749135,54749292,54752768,54799047,55017478,55062022,55078201,55254457,55362277,55404901,55542050,55586440,55646068,55654597,55728262,55966468,56082118,56147408,56196901,56258662,56287801,56346838,56429497,56464201,56610982,56641408,56715301,56747834,56864171,56873701,56904517,56919817,56964207,57168901,57181318,57285234,57288750,57371401,57557701,57581317,57593017,57639097,57747060,57749257,57780901,57792502,57881701,57929401,57947977,58044368,58044997,58060551,58102201,58163257,58199077,58345957,58371337,58403925,58420837,58443862,58447801,58458277,58527397,58529701,58535497,58536901,58746598,58953609,58976232,59069624,59091622,59143884,59293938,59297295,59582730,59650102,59735782,59738985,59788804,60171468,60504022,60570111,60674038,60801382,60855835,61108000,61435942,61520278,61562422,61596864,61688758,61737914,61772902,61896282,61948407,61999348,62150758,62297520,62395635,62534745,62902582,63152038,63165834,63250448,63279795,63525142,63539751,63554912,63721584,63799340,64286538,64337367,64882102,65019290,65167702,65299914,65614918,65698962,65848552,66270035,66282839,66348261,66450688,66453327,66555344,66650460,66703728,66867411,66984982,67106123,67224838,67304662,67462460,67498448,67782262,67821958,68020198,68257558,68546308,68597635,68651878,68746500,68961027,69083782,69296472,69488463,69786358,69895695,69941782,70058182,70084710,70160882,70165587,70209800,70830502,71093824,71156754,71499276,71520118,71632700,71672662,71686782,71823595,72005432,72089930,72090838,72107275,72230404,72431542,72840388,72921382,72996502,73027002,73258918,73329600,73686050,73781398,73901960,74004358,74079621,74152678,74189258,74226742,74438463,74446125,74485462,74555408,74706598,74757024,74874762,74927158,75041694,75160463,75375032,75427671,75439558,75551007,75607635,75628490,75935754,76067831,76174708,76310662,76559208,76739331,77101078,77208262,77210540,77279638,77493382,77799135,77810824,77954518,77958531,78023148,78213050,78218240,78342598,78393711,78448102,78483238,78504503,78986025,79120202,79409200,79425862,79524042,79529878,79702918,79737478,79772404,79917068,79980552,80009615,80013382,80219638,80253958,80459542,80640131,80648144,80766838,80941107,80954952,81006111,81140662,81234530,81478822,81949558,82050022,82083478,82301935,82317162,82495800,82583398,82738804,82782358,82881622,82985744,83139705,83331831,83539702,83874834,83931478,83964022,84101652,84251760,84346707,84611542,84796911,84932902,85397432,85959240,86060984,86129109,86188314,86507916,86528730,86630071,87010311,87117527,87353782,87446182,87537177,87715588,87906022,87961107,87995520,88005748,88042514,88182515,88190025,88197020,88210582,88362262,88423260,88573942,88585204,88682352,88711635,88754758,89024902,89174422,89335350,89383078,89620582,89868544,89941675,89978121,90234111,90239158,90414598,90524515,90589462,90705718,90729162,90754188,90792742,91074321,91110598,91225702,91689856,92221942,92250118,92297312,92390758,92540127,92652648,92807775,92884700,93263367,93358962,93464068,93474022,93638518,93665878,93802438,93829702,93855660,93861888,93884223,93965782,94069360,94236742,94300195,94318144,94346903,94559782,94625744,94689770,94783230,94960342,95291040,95436262,95754035,95802838,95865890,95880982,96011538,96034796,96036838,96072111,96231674,96449638,96526582,96704145,96731062,96818607,97438678,97481436,97650751,97699828,97787782,97961158,98035222,98106591,98330038,98684895,98746439,98762322,98888662,98960902,98994960,99032998,99211064,99319942,99375988,99675382,99767646,...,4163217169364348555726791539260268874577908598411465163963927735031199422594667509816784800094936050064002224172554302392225580875174335077433519419520543623296535683441405989561537850826098941507126489650890615672223799044098313039526333097730275351002076605287671966873189944026532864170525168565111827526668284786217837739222061981320322000272348192739691705808082059134374223271649542554562356071469316871280333014128630925179129765457508149673608149646940444270829153086100900328608562623465963654768374537306604735355003334492153976322590205344107828614488591335427132193821703795283427849035105666986305945033974246677714663918395506611131619217726918356250218598653800152485548524358681964834945754743637472988654983100164296854520259155465129613587597124501656175072019664841762093980930644851058820135264711964175897976292207253287444043588740635780156810631119874445330691272066935705437433843943119586641809897302248696714256547540726754260261450479668762666732156691028146171632351225267382085474580012190978787556174406397317174240871109302472566103265473241581265465457788622561937454240389052564308397065889073686533482977169455564123014050890136495473882402766779039613802196897400146522688955593456314449456757720131146546151443778112830949412572353483443039811049802409016352455211405787336110646759077297391295206141911989128765224882025069056911983495659766017112173143045616283801674650838014340268079796483998339275689740213179638637658715190889167195055510752344880270946308090288095873246414638892185509178189223640355533287546386156908419160296978289698671620422712929132613196094539530529816486496370237571212656924637813330344697684296170154732323516726619351964934335970124935975299668208831182241756281625516752912827142243999218325674169496428141190391123578368339309907698942857766940026285374524295977916370336581038358653658137328466523725755859150298234658849322801240626160691103630537465563389771249627815543135897974546929741727443985569140579371402921070949980736403476883587245514971361558686197903750904380627839451385360318813012865475349459217810940846271204413458329129708403936643402226076467208889681889747235588881016092923512154825966888209644937265436820318395706074862362050129027204170518348510526095441764745401168952095325043059270870107977055082336549295625211183158089494407461345804515575310322257501845770803675520364364276444181532235226760473775779990575729070505049167244002}
15303  1026247280219798480327892793161345373463185983331962742565536157: {61196,504537,596193,749161,840785,1008942,1054113,1070230,1284276,1328577,1420017,1498126,1528900,1694193,1834680,1876857,1956992,2031841,2064015,2140180,2201616,2214005,2476818,2568216,2581813,2656806,2697657,2889243,2902630,3057400,3061833,3334713,3439575,3483156,3635926,3668880,3771937,3789033,3863057,3913472,3952081,4127490,4369222,4402656,4412741,4605297,4868897,4876953,4917262,4952988,5148393,5194180,5405585,5645830,5780913,5967833,6149377,6233016,6322137,6383278,6486702,6624142,6749782,6774996,6862497,7012143,7024660,7394068,7401993,7542886,8119977,8415001,8429592,8746953,9015297,9463060,9483291,9833236,9886217,10086513,10264713,10320121,10385285,10406638,10798737,10954153,11019886,11121656,11286005,11308822,11355672,11422708,11505286,11587681,12021430,12130017,12393556,12451897,12462342,12511863,12634385,12749433,12764884,12775131,13008982,13336366,13497796,13543206,13724933,14047480,14248833,14282926,14425716,14427185,14440933,14646601,14743030,14864217,14874485,14895075,15161262,15272681,15648790,15653697,15803415,15828873,15888080,16155460,16248344,16466873,16553830,16637761,16856976,17312622,17644935,17691636,17705080,17849382,17874090,18112037,18254548,18271257,18279387,18561713,18584260,18624502,18778548,18792177,18821264,18964098,19065696,19158373,19225617,19312233,19371241,19386552,19470484,19719796,19864596,19918215,20004297,20335393,20349753,20404180,20646392,20754401,21005875,21098885,21173922,21246096,21297777,21448908,21482902,21641793,21761175,21809871,21847001,22282342,22301112,22328673,22750126,22842424,23099577,23211920,23227191,23528953,23745478,23768230,23865076,23901858,23953857,24150022,24209673,24438502,24485016,24890793,25088751,25145817,25164916,25207050,25318662,25485513,25697727,25909593,25939985,25940182,26113410,26200055,26489624,26502297,26815505,26887520,27178233,27258735,27403318,27545643,27768417,27854304,27989641,28090582,28136233,28273353,28441473,28521876,29029137,29075984,29147333,29531913,29717857,29740753,29800827,29868485,30248460,30461655,30689860,30892312,31035057,31127982,31171505,31336092,31440066,31518388,31727201,32038385,32178606,32265024,32281737,32421862,32447553,32450875,32492432,32500180,32710482,32756295,32778897,32827753,33027153,33271126,33612790,34395337,34413742,34528942,34630385,34664326,34676673,34753851,34940048,34944502,35170486,35251737,35282021,35288056,35477175,35661777,35842182,35949880,36263875,36298152,36398337,36515521,36553986,36623062,36827832,36969873,37207657,37340753,37377393,37405806,37428650,37678321,37842320,37946913,38109417,38157231,38342021,38352601,38446062,38706915,38803611,38941050,38963953,39000216,39040417,39307554,39325137,39574337,39699063,39866977,39881062,40335348,40443615,40595182,40802902,40835421,40869268,41018073,41036293,41053685,41287376,41431311,41537120,41556462,41691526,41980713,41982148,42486790,42491908,42572610,42621481,42698902,42780273,43139856,43516650,43657017,43771033,43875243,44023505,44067992,44391601,44441717,44555182,44836597,44847897,44914380,44927097,45410784,45425275,45643937,45852807,45970601,46194775,46417760,46448298,46463655,46584753,46716436,46729260,46829737,46896790,46975685,46977873,47530180,47537908,47671993,47762313,47908672,47937646,48235505,48532338,48638135,48856497,49128982,49264422,49327060,49492085,49561232,49576491,49682597,49844544,50003062,50061622,50086726,50291758,50488953,50788822,50984148,51087132,51262593,51270724,51382726,51417033,51604203,51685921,51853937,51879777,52165030,52219980,52318660,52649097,52828206,52924726,53469500,53655142,53897256,54061813,54180537,54256857,54412276,54510330,54586675,54638097,54714273,54748486,54789430,55233166,55313285,55313875,55338697,55344142,55366277,55433730,55610548,55662790,55701312,55756386,56075112,56276148,56370822,56549415,57036216,57139233,57617483,57882606,58008137,58144352,58235926,58289860,58342497,58365762,58608005,58648486,59061142,59129312,59189873,59192472,59240913,59390313,59390502,59427862,59519284,59624933,59797153,60110753,60139301,60261748,60319376,60427657,60582057,60634413,60887830,61027377,61334356,61433575,61764742,61841553,62170817,62207096,62505537,62598036,62663976,62781701,62782392,62846566,63004753,63084501,63559697,63650260,63681153,63813457,63900897,63912785,64163400,64165743,64352566,64664215,64704777,64893250,64996377,65235982,65380036,65412396,65504010,65532785,65655382,65684201,65747316,65953153,66013953,66068398,66086457,66231393,66375942,66376650,66448617,66520476,66520977,66591531,66744005,66795348,66905998,66989307,67491028,67859298,68084471,68157752,68178633,68341073,68436615,68440960,68672741,69483050,69557585,69614326,69681057,69870944,69947832,69958085,69982983,70179513,70184260,70185317,70329606,70496973,70534833,70567126,70630191,70781401,70801760,70835583,71031273,71046712,71093542,71138161,71197633,71514437,72091113,72183825,72443193,72555460,72612526,72935097,72999056,73065396,73163201,73309577,73705713,73720290,73837030,73929855,73985217,74243417,74722753,74736005,75208001,75214335,75303361,75654177,75761717,75877318,75952276,76000137,76025398,76184321,76380312,76385000,76414497,76426601,76677471,76695342,76996080,77119726,77296102,77301937,77414068,77499185,77515233,77597058,77871900,78049697,78152302,78591713,78604812,78634976,78639342,78691311,78858512,78882513,79058584,79063060,79358793,79443640,79651980,79749175,79824022,79901673,79927551,80092806,80228624,80667941,80760148,81071067,81092597,81268601,81378037,82123938,82129152,82310690,82526217,82528376,82593033,82597876,82712422,82770017,82797526,83063360,83194180,83313075,83379660,83469102,83470342,83544737,83592393,83800582,83949702,84123177,84221112,84328075,84373060,84387993,84520257,84652601,84675601,84719668,84754657,84916473,84962112,85121751,85682885,85715384,85771977,85783156,85927851,85933125,86134901,86620590,86688753,86809681,86821678,87066552,87116662,87598616,87665793,87762250,88119897,88125161,88464348,88518241,88604436,88637433,88715826,88867280,88890022,88938304,88940907,89156548,89243713,89273057,89374095,89475153,89540875,89603673,89683206,90006790,90257202,90288005,90378217,90655493,90756033,90837833,90909382,91011057,91050485,91202073,91250422,91355761,91489222,91662000,91948036,92105902,92151257,92153913,92280417,92343633,92377450,92395296,92533137,92606871,92651284,92659353,92731822,92844423,92985337,92999022,93194260,93226137,93446280,93554116,94218790,94353873,94728057,94748751,94875672,95118337,95218385,95287713,95332368,95559881,95582376,95647726,95699010,95705641,95881577,96134542,96429807,96513175,96798766,96938926,97263530,97323153,97369336,97528935,97751553,97772800,97949871,98199142,98388361,98422377,98513861,98514001,98548443,98772828,99027142,99251284,99261500,99468971,99676032,99715505,99833016,99896335,99975690,...,6244825754046522833590187308890403311866862897617197745945891602546799133892001264725177200142404075096003336258831453588338371312761502616150279129280815434944803525162108984342306776239148412260689734476335923508335698566147469559289499646595413026503114907931507950309784916039799296255787752847667741290002427179326756608833092971980483000408522289109537558712123088701561334907474313831843534107203975306920499521192946387768694648186262224510412224470410666406243729629151350492912843935198945482152561805959907103032505001738230964483885308016161742921732887003140698290732555692925141773552658500479458917550961370016571995877593259916697428826590377534375327897980700228728322786538022947252418632115456209482982474650246445281780388733197694420381395686752484262608029497262643140971395967276588230202897067946263846964438310879931166065383110953670235215946679811667996036908100403558156150765914679379962714845953373045071384821311090131390392175719503144000098235036542219257448526837901073128211870018286468181334261609595975761361306663953708849154898209862371898198186682933842906181360583578846462595598833610529800224465754183346184521076335204743210823604150168559420703295346100219784033433390184471674185136580196719819227165667169246424118858530225164559716574703613524528682817108681004165970138615946086942809212867983693147837323037603585367975243489649025668259714568424425702511976257021510402119694725997508913534610319769457956488072786333750792583266128517320406419462135432143809869621958338278263767283835460533299931319579235362628740445467434548007430634069393698919794141809295794724729744555356356818985386956719995517046526444255232098485275089929027947401503955187403962949502313246773362634422438275129369240713365998827488511254244642211785586685367552508964861548414286650410039428061786443966874555504871557537980487205992699785588633788725447351988273984201860939241036655445806198345084656874441723314703846961820394612591165978353710869057104381606424971104605215325380868272457042338029296855626356570941759177078040478219519298213024188826716411269406806620187493694562605904965103339114700813334522834620853383321524139385268232238950332314467405898155230477593559112293543075193540806255777522765789143162647118101753428142987564588906305161965582623504823943437816774737134241611192018706773362965483386252768656205513280546546414666272298352840140710663669985863593605757573750866003}
15304  1030845905157953408220534746696317477430556776221124011722776682: {76495,91794,259879,397514,625783,672716,794924,946802,1081543,1312274,1345256,1405484,1513413,1605345,1712368,1771436,1859402,1893356,1911125,1926414,1987663,2247189,2258924,2293350,2446240,2502476,2527879,2617663,2675225,2752020,2935488,2976079,3130994,3210270,3302424,3312074,3422479,3424288,3542408,3596876,3715227,3778303,3821750,3852324,3985209,4082444,4353945,4446284,4586100,4644208,4891840,4935314,5052044,5190079,5224734,5277703,5453889,5473802,5503320,5870208,6140396,6191235,6368402,6492725,6502604,6553833,6603984,6842623,6864524,6903434,7259402,7273183,7375893,7429482,7701943,7707884,7791270,8146802,8214079,8299183,8310688,8429516,8468745,8638879,8648936,8780825,9033328,9149996,9242585,9349524,9483079,9574917,9730053,9731449,9869324,9902479,9936213,9986143,10124673,10162494,10536990,10818823,10826636,11067223,11091102,11137034,11239456,11311634,11314329,11662604,11828825,12020396,12291545,12381079,12644388,12706663,12876554,13448684,13686284,13902070,13997479,14077543,14194590,14217301,14278385,14398316,14749854,15111823,15140896,15458834,15491945,15585079,15609957,15956105,16173356,16290103,16468606,16529829,16616456,16682484,16822802,16872245,16963233,16999244,17033508,17134062,17143879,17221063,17257929,17559350,18032145,18057608,18065593,18177554,18294079,18590334,18693513,18998444,19127263,19147326,19234288,19513473,19690634,19802479,19818956,19860100,19987121,20004549,20194325,20215016,20246694,20310430,20314809,20325701,20692874,20871596,20988463,21071220,21105164,21355303,21424389,21524114,21638574,21720343,21855602,22011079,22083583,22114545,22131350,22351754,22475968,22741893,22818185,23083496,23178421,23230325,23473185,23526580,23588848,23799176,23832120,23832434,24018137,24233190,24338105,24361676,24372516,24649745,24649994,24830745,24855079,25038064,25056236,25285464,25420928,25441486,25463954,25505225,25548079,25634156,25749644,25807990,25848736,25968933,26302063,26486128,26537454,26557620,26672396,26774073,26811135,27030773,27133004,27316183,27381822,27583879,27876390,27936753,28167822,28181983,28231896,28314103,28328128,28397036,28430878,28446147,28553030,28598544,28843274,28855724,29014900,29079828,29161802,29205726,29554879,29579694,29734816,29771564,29796894,29831345,29877079,29955602,30452503,30572542,30606270,30769663,30799436,30877049,30896023,30969588,31085023,31456145,31760883,31869144,31938476,32002634,32173362,32224353,32279564,32627594,32646688,32939383,33112030,33187724,33362743,33423513,33451668,33527756,33603079,33609400,33662983,33758216,33961423,33980684,34125189,34263636,34546124,34642802,34787479,34817880,35020903,35089637,35336396,35618217,35652345,35797614,35852787,36000103,36126454,36176402,36225033,36227479,36237644,36344980,36481394,36510079,36657753,36727524,37024556,37104353,37125463,37139072,37291783,37697804,37747374,37810575,37921964,37977993,38029168,38362325,38449802,38559493,38615390,38652583,38705516,38759503,38900594,38910273,39170115,39375884,39397985,39499634,39649034,39734436,39812863,40226143,40331280,40533079,40615540,40625225,40646078,40690802,41104977,41239183,41380076,41503976,41537479,41781456,41920088,42135873,42320263,42460274,42465797,42704743,42782814,42904808,43020032,43042316,43263404,43337234,43366078,43613976,43675060,43705196,43876543,43968343,44036204,44064074,44110070,44332663,44353802,44558023,44937350,45372690,45506954,45872383,46034790,46127479,46169743,46235564,46338468,46691973,46712623,46753879,47002316,47004138,47160099,47277582,47302900,47549036,47789576,48113743,48267909,48306703,48345079,48349514,48397536,48508361,48531116,48632793,48738648,48750270,48762463,48996649,49065723,49103776,49293164,49462879,49678663,49785583,49836524,49856503,49874408,49906689,50027402,50419185,50515879,50595884,50812556,50819143,50852479,50876308,51086585,51261416,51343879,51376063,51535903,51609220,51620613,51738148,51787903,51793413,51921400,51943063,51996489,52000288,52308103,52397743,52410072,52416753,52433516,52477685,52720879,52755729,52779454,52932084,53007079,53049674,53114885,53395663,53456402,53557879,53763273,53780464,53796343,53924820,53926303,54400394,54431209,54447228,54690764,54808879,54830979,54934593,55059943,55070354,55084990,55149079,55171183,55241748,55280623,55366879,55408616,55577479,55760863,55860223,55974284,55977079,56108709,56134802,56142975,56147503,56239663,56276023,56399474,56623783,56763480,56865703,57040364,57163063,57273943,57340903,57367183,57519808,57669093,57714194,57759223,57811783,57832303,57921079,58012879,58022200,58144783,58209356,58336879,58342423,58358623,58395545,58411575,58496114,58500324,58512703,58523863,58525879,58542079,58547479,58961331,59143754,59412725,59422385,59638033,59659274,59797196,59821593,59885840,59902796,60503022,60547712,60892773,61137076,61204353,61303902,61571954,61658825,61931064,61951540,62113004,62165873,62305680,62334693,62537289,62637164,62791982,62973222,63452234,63683084,63730185,63737862,63858915,63874174,64048353,64071794,64088405,64441802,64709784,64810514,65141996,65274975,65398325,65685896,66101988,66459392,66832773,66836875,67065622,67318604,67371570,67713554,67832714,67978864,68015345,68116176,68307914,68350124,68426354,68556044,68805604,69001198,69016394,69173036,69176261,69513185,69626640,69672447,69836402,70074654,70093890,70198796,70200046,70345185,70437608,70995602,71295270,71306862,71863008,71906469,72212329,72240716,72342476,72680440,72798507,72850796,72862325,72952364,73693473,73830602,73896633,73911640,73990590,74268416,74341848,74399105,74718794,74766816,74939402,75000961,75004593,75034864,75092433,75130089,75161096,75327185,75399220,75437637,75610601,76048288,76183233,76185644,76476222,76630698,76648789,76667945,76906086,77074089,77176808,77758870,77789996,77821016,77967434,78247545,78329970,78390794,78477990,78496274,78923296,78987884,79187084,79187336,79242309,79387089,79562825,79750802,79957874,80204250,80267402,80482713,80776076,80845884,81369836,81618414,81725045,81765495,81996914,82097354,82122729,82184145,82455404,82849749,82917406,83016213,83150595,83340716,83415822,83464048,83494185,83551968,83586674,83634579,83709856,83782802,83978354,84112668,84363785,84414222,84464714,84556233,84908204,85197190,85198169,85201196,85551200,85554324,85996874,86273036,86661836,86823909,87216528,87338680,87353889,87434790,87548643,87663088,87678214,87730325,87972729,88018604,88115276,88308524,88501256,88502200,88591713,88598156,88693968,88694636,88788708,88808390,89060464,89085753,89141793,89219954,89278926,89319076,90392622,90459794,90479064,90694325,90904844,91027006,91155602,91248820,91331745,92001534,92266634,92603594,92647113,92778049,92908076,93263776,93310644,93518354,93572684,93682802,93772808,93846674,93897054,93995964,94046444,94173588,94269849,94447444,94708364,94940345,95301973,95453714,95475390,95481250,96036689,96121484,96245100,96467402,96528849,96590924,96767585,97246796,97339875,97381514,97420528,97830794,97853973,98070054,98118594,98256015,98274284,98293720,98348402,98483073,98573140,98620974,98646956,98823230,98828825,98931314,99075602,99102597,99219314,99304550,99563913,99564975,99780714,...,8326434338728697111453583078520537749155817196822930327927855470062398845189335019633569600189872100128004448345108604784451161750348670154867038839041087246593071366882811979123075701652197883014252979301781231344447598088196626079052666195460550702004153210575343933746379888053065728341050337130223655053336569572435675478444123962640644000544696385479383411616164118268748446543299085109124712142938633742560666028257261850358259530915016299347216299293880888541658306172201800657217125246931927309536749074613209470710006668984307952645180410688215657228977182670854264387643407590566855698070211333972611890067948493355429327836791013222263238435453836712500437197307600304971097048717363929669891509487274945977309966200328593709040518310930259227175194249003312350144039329683524187961861289702117640270529423928351795952584414506574888087177481271560313621262239748890661382544133871410874867687886239173283619794604497393428513095081453508520522900959337525333464313382056292343264702450534764170949160024381957575112348812794634348481742218604945132206530946483162530930915577245123874908480778105128616794131778147373066965954338911128246028101780272990947764805533558079227604393794800293045377911186912628898913515440262293092302887556225661898825144706966886079622099604818032704910422811574672221293518154594782590412283823978257530449764050138113823966991319532034224346286091232567603349301676028680536159592967996678551379480426359277275317430381778334390111021504689760541892616180576191746492829277784371018356378447280711066575092772313816838320593956579397343240845425858265226392189079061059632972992740475142425313849275626660689395368592340309464647033453238703929868671940249871950599336417662364483512563251033505825654284487998436651348338992856282380782247156736678619815397885715533880052570749048591955832740673162076717307316274656933047451511718300596469317698645602481252321382207261074931126779542499255631086271795949093859483454887971138281158742805842141899961472806953767174491029942723117372395807501808761255678902770720637626025730950698918435621881692542408826916658259416807873286804452152934417779363779494471177762032185847024309651933776419289874530873640636791412149724724100258054408341036697021052190883529490802337904190650086118541740215954110164673098591250422366316178988814922691609031150620644515003691541607351040728728552888363064470453520947551559981151458141010098334488004}
15305  1035464972573098194146823906316116970450768525841243490757751951: {122392,137691,596271,840895,993655,1009074,1177099,1192386,1420203,1498322,1681570,1756855,1968411,2017884,2108226,2140460,2214295,2366695,2568552,2657154,2789103,2823655,2840034,2856799,2889621,2996252,3057800,3099607,3128095,3388386,3440025,3669360,3753714,3863563,3913984,4063682,4128030,4280360,4403232,4413319,4428010,4496095,4565431,4696491,4815405,4931887,4953636,4968111,5103055,5136432,5163626,5204683,5313612,5395314,5557855,5732625,5754151,5778486,5805260,6114800,6123666,6315055,6669426,6669931,6879150,6966312,7271852,7337760,7402971,7522687,7543874,7567819,7578066,7675495,7726114,7826944,7837101,7904162,8072011,8128255,8210703,8254980,8580655,8738444,8805312,8825482,8885503,9210594,9552603,9634855,9737794,9753906,9834524,9905976,10221343,10296786,10355151,10388360,10536895,10811170,10889103,11144223,11222299,11291660,11437495,11561826,11683711,11686905,11935666,12177559,12220203,12298754,12336655,12466032,12644274,12766556,12973404,13248284,13499564,13533295,13549992,13724994,14024286,14049320,14372263,14539399,14578255,14788136,14803986,15025495,15085772,15243741,15339631,15790399,15800407,15805485,16239954,16636653,16705551,16810855,16830002,16859184,16879423,16967451,17069467,17107855,17493906,17688139,17875099,17997895,18030594,18366919,18926120,18966582,18995551,19314831,19361143,19666472,19772434,20173026,20198059,20216695,20529426,20640242,20770570,20813276,20824279,20853105,21249055,21291885,21597474,21908306,22039772,22124781,22185739,22243312,22572010,22617644,22711344,22845416,22996087,23010572,23099359,23175362,23188251,23748055,24042860,24260034,24702909,24773695,24787112,24825125,24903794,24924684,25023726,25234203,25268770,25498866,25529768,25550262,25701093,25819183,26017964,26036287,26076079,26089495,26141599,26339025,26381455,26672732,26995592,27086412,27129883,27266331,27449866,27885501,28094960,28497666,28565852,28720989,28775263,28851432,28854370,28881866,29014891,29293202,29323159,29408225,29486060,29535951,29538439,29728434,29748970,29790150,30322524,30370041,30452095,30465645,30545362,31039311,31100071,31297580,31307394,31320295,31606830,31657746,31776160,32042695,32059423,32187055,32286171,32310920,32457861,32496688,32576431,32732599,32783403,32933746,33107660,33197025,33275522,33340495,33527631,33713952,33916255,34625244,35007643,35289870,35383272,35410160,35496295,35698764,35748180,35748651,35797087,36069655,36224074,36268625,36315979,36349785,36509096,36542514,36558774,36569551,36680077,36974991,37123426,37168520,37214455,37249004,37495783,37541707,37557096,37584354,37642528,37928196,38038711,38131392,38162229,38195931,38316746,38347087,38451234,38499295,38601343,38624466,38711985,38742482,38773104,38856679,38940968,39197647,39432847,39439592,39729192,39806181,39836430,39905503,39923095,40008594,40349455,40384639,40670786,40699506,40808360,41072733,41292784,41484655,41508802,41814585,41815879,41909695,42011750,42146827,42197770,42251733,42347844,42475855,42492192,42595554,42646317,42693991,42829545,42852847,42897816,42928519,42965804,43182655,43264911,43283586,43484683,43522350,43619742,43640107,43694002,43742703,43808589,44170495,44226823,44369541,44564684,44602224,44657346,44695341,44853739,44933403,45297055,45321751,45431225,45500252,45684848,45756799,45858813,45909405,46199154,46280695,46405183,46423840,46454382,46484239,46769671,47057906,47122255,47402455,47490956,47506663,47508511,47536460,47730152,47803716,47907714,48003951,48260043,48300044,48381895,48419346,48482539,48877004,48941391,48970032,49219855,49668045,49781586,50177502,50291634,50329832,50414100,50539759,50637324,50679019,50769425,50971026,51256843,51378907,51395454,51725095,51819186,51879970,51880364,51964203,52226820,52400110,52549963,52865947,52979248,53004594,53108983,53631010,53696421,53775040,53802895,54079255,54081199,54189681,54264603,54356466,54517470,54593825,54631495,54722091,54806636,55045255,55091286,55445599,55536834,55708608,55793767,55979282,56181164,56272466,56546706,56621061,56882946,57043752,57052699,57475159,57674703,57794455,57923085,58058274,58067071,58120399,58151968,58294666,58350891,58752895,59063826,59128625,59249451,59435714,59436295,59473551,59481506,59601654,59736970,60022399,60147247,60496920,60663895,60923310,60969117,61017247,61036203,61379720,61616455,61632907,61784624,62070114,62255964,62295655,62343010,62672184,62865463,62880132,63036776,63244855,63454402,63515695,63529351,63595385,63690411,64024903,64076770,64174221,64286839,64357212,64511525,64530048,64563474,64672685,64843724,64895106,64901750,64984864,65000360,65005851,65049117,65055199,65350111,65420964,65512590,65541895,65557794,65655506,65670439,65714263,65765959,65844223,66054306,66096111,66165105,66294763,66530703,66542252,66639631,67225580,67406025,67529707,68059035,68093389,68260431,68363455,68555071,68790674,68827484,69034891,69052185,69057884,69118999,69183319,69260770,69288919,69328652,69353346,69507702,69880096,69889004,69967855,70340972,70503474,70506207,70564042,70576112,70916373,70954350,71300455,71323554,71684364,71899760,72368923,72524271,72527750,72596304,72761695,72796674,73031042,73107972,73125405,73246124,73369039,73608991,73655664,73939746,74415314,74681506,74746495,74754786,74811612,74857300,74878495,75041103,75356642,75534283,75684640,75893826,76166299,76218834,76314462,76421345,76684042,76699039,76705202,76751887,76760143,76892124,77413830,77438599,77439425,77607222,77608327,77626783,77641255,77882100,77927906,78000432,78080834,78208939,78296455,78579463,78615108,78650274,78818359,79148674,79169181,79284151,79398126,79574511,79603855,79733954,79762124,80184603,80670696,80887230,80986663,81190364,81427495,81600591,81605804,81670842,81738536,82036146,82051207,82072586,82107370,82574752,82605531,82627485,82698391,82862622,83074240,83112924,83383052,83961426,83964296,84148255,84163039,84202203,84419551,84599211,84973580,84977563,84983816,85145220,85232923,85242962,85397804,85437655,85560546,85654279,85695055,86007005,86279712,86466295,86571291,86638591,86697727,86773963,87009367,87033300,87314034,87542066,87744171,87748495,87750486,87795103,88047010,88135984,88633087,88715631,88732699,88783202,88882183,88883434,89110364,89306443,89477899,89488911,89673194,89695794,89828760,89854194,90158287,90293599,90300895,90316939,90333487,90428095,90529901,90667471,90754533,90821568,90850550,91063495,91111687,91190455,91229083,91287874,91705614,91745899,91787791,91941202,91955853,92075239,92240551,92357931,92389550,92475163,92835520,92885431,92896596,92927310,93169506,93309079,93408799,93432872,93441607,93458520,93659474,93793580,93951370,93955746,94187973,94249025,94459833,95060360,95075816,95178351,95232055,95343986,95524626,95572507,95606793,95811261,95817344,95875292,96107691,96471010,96662703,97064676,97215771,97237495,97243759,97276270,97346047,97347751,97364119,97380619,97712994,97819111,97941319,98257964,98492827,98528844,98654120,98734855,98799199,98983855,98984170,99122464,99152982,99365194,99689088,...,12489651508093045667180374617780806623733725795234395491891783205093598267784002529450354400284808150192006672517662907176676742625523005232300558258561630869889607050324217968684613552478296824521379468952671847016671397132294939118578999293190826053006229815863015900619569832079598592511575505695335482580004854358653513217666185943960966000817044578219075117424246177403122669814948627663687068214407950613840999042385892775537389296372524449020824448940821332812487459258302700985825687870397890964305123611919814206065010003476461928967770616032323485843465774006281396581465111385850283547105317000958917835101922740033143991755186519833394857653180755068750655795961400457456645573076045894504837264230912418965964949300492890563560777466395388840762791373504968525216058994525286281942791934553176460405794135892527693928876621759862332130766221907340470431893359623335992073816200807116312301531829358759925429691906746090142769642622180262780784351439006288000196470073084438514897053675802146256423740036572936362668523219191951522722613327907417698309796419724743796396373365867685812362721167157692925191197667221059600448931508366692369042152670409486421647208300337118841406590692200439568066866780368943348370273160393439638454331334338492848237717060450329119433149407227049057365634217362008331940277231892173885618425735967386295674646075207170735950486979298051336519429136848851405023952514043020804239389451995017827069220639538915912976145572667501585166532257034640812838924270864287619739243916676556527534567670921066599862639158470725257480890934869096014861268138787397839588283618591589449459489110712713637970773913439991034093052888510464196970550179858055894803007910374807925899004626493546725268844876550258738481426731997654977022508489284423571173370735105017929723096828573300820078856123572887933749111009743115075960974411985399571177267577450894703976547968403721878482073310891612396690169313748883446629407693923640789225182331956707421738114208763212849942209210430650761736544914084676058593711252713141883518354156080956439038596426048377653432822538813613240374987389125211809930206678229401626669045669241706766643048278770536464477900664628934811796310460955187118224587086150387081612511555045531578286325294236203506856285975129177812610323931165247009647886875633549474268483222384037413546725930966772505537312411026561093092829332544596705680281421327339971727187211515147501732006}
15306  1040104572615033216413356207756157702592359371815746337968331122: {107093,152990,183588,259913,290453,443033,519758,564953,656309,717173,795028,1112009,1202933,1251566,1345432,1354313,1513611,1589848,1626293,1716809,1788579,1893604,2163086,2247483,2378393,2522355,2528213,2624548,2675575,2690512,2810968,3006293,3026826,3162339,3210690,3363509,3424736,3452633,3512009,3542872,3718804,3745315,3786712,3822250,3852828,3975326,3985731,4260051,4398809,4494378,4517848,4586700,4892480,5004952,5044553,5055758,5082579,5219993,5235326,5350450,5365973,5482613,5504040,5630571,5715509,5870976,5952158,6092873,6095523,6192045,6237653,6261988,6420540,6526613,6604848,6624148,6642015,6844958,6848576,6872309,7084816,7102133,7193752,7256575,7430454,7531673,7556606,7643500,7704648,7731509,7745439,7970418,8073173,8092971,8164888,8385353,8667729,8707890,8724809,8892568,8922293,9089815,9172200,9185499,9288416,9568409,9783680,9848009,9870628,9903833,10004139,10104088,10318725,10380158,10449468,10555406,10820309,10907778,10923055,10947604,11006640,11013593,11178953,11234009,11315811,11367099,11426453,11589171,11740416,11856243,11974133,12280792,12293155,12382470,12382793,12409973,12735509,12736804,12789653,12939619,12985450,13005208,13107666,13207968,13221653,13238223,13463753,13685246,13729048,13806868,13815891,14079509,14114575,14478809,14518804,14546366,14606691,14630859,14751786,14858964,15140309,15403886,15415768,15445179,15582540,15744473,15958195,16005833,16216755,16293604,16318409,16428158,16448309,16560355,16598366,16621376,16859032,16874455,16937490,17208163,17223509,17277758,17297872,17342739,17557193,17561650,17903499,17915033,18066656,18169673,18296693,18299992,18448131,18485170,18699048,18857215,18966158,18966411,19130009,19149834,19455893,19460106,19462898,19738648,19755509,19804958,19805333,19830233,19872426,19880009,19972286,19989739,20053973,20249346,20324988,20587491,20696693,21036429,21073980,21236309,21309593,21637646,21653272,21688723,21723509,21893273,22038473,22086809,22134446,22159253,22182204,22205979,22255733,22274068,22338547,22376153,22478912,22616393,22623268,22628658,23046809,23237273,23325208,23621143,23657650,23758409,24021283,24040792,24111509,24359931,24583090,24762158,25245003,25288776,25344713,25413326,25551893,25753108,26016595,26240859,26374133,26532809,26578073,26897368,27045891,27051413,27372568,27549715,27588053,27610313,27804140,27994958,28053833,28155086,28208309,28272055,28385071,28389180,28434602,28449873,28556770,28603733,28763215,28796632,28865909,28909493,28974809,29300309,29499708,29580953,29624009,29658651,29881673,30053575,30223646,30259539,30266009,30281792,30329813,30414773,30794139,30795509,30858713,30917668,30960363,30963893,30983890,31152713,31155855,31170158,31219914,31777433,31912210,31945459,32346712,32396211,32456309,32517593,32522455,32580206,32862459,32937212,32964809,33059658,33126473,33207113,33232912,33340915,33364968,33508373,33628373,33645604,33744490,33858015,33907253,33926466,33966809,33998488,34067016,34073347,34268124,34287758,34322633,34442126,34509643,34515858,34558409,34695413,34763043,34909913,35045909,35118700,35200853,35336009,35707315,35948873,36064290,36115216,36131186,36233333,36355108,36390051,36572309,36588158,36857575,37180668,37260953,37355691,37387026,37535589,37537013,37646933,37903155,37920473,37996888,38248299,38254526,38294652,38325393,38408309,38468576,38623253,38819273,39026946,39121975,39243593,39381268,39604958,39611093,39637912,39720200,39784853,39974242,40009098,40026773,40250009,40388650,40430032,40493388,40620860,40629618,40651402,41045813,41174799,41312693,41384575,41385748,41461913,41469571,41544533,41561033,41743192,41763883,41976926,42142440,42198293,42210328,42279113,42710606,42728009,42746499,42848778,43013273,43048228,43092053,43154933,43277148,43281555,43322799,43440686,43560533,43711204,43745909,43850599,43899509,43939803,44022158,44038603,44167166,44204309,44229090,44262700,44535893,44592651,44623455,44655509,44685225,44703508,44951936,45143513,45275093,45362453,45420533,45483786,45579593,45636370,45818043,45894809,46149833,46166992,46178009,46346393,46356842,46460650,46561255,46776053,46946370,46961091,47049173,47053160,47177696,47410245,47486619,47506133,47598352,47651993,47664240,47664868,47704793,47966873,48036274,48135509,48289973,48466380,48671093,48676210,48723352,48733913,48745032,49045013,49143509,49229273,49299490,49299988,49400619,49484213,49508309,49544393,49661490,49710158,49723733,49913283,50076128,50112472,50186851,50388809,50570928,50841856,50862233,50882972,50927908,51010450,51096158,51191753,51268312,51364553,51386009,51492809,51499288,51545909,51615980,51697472,51735413,51839573,51937866,52116809,52288373,52388213,52604126,52682933,52731353,52934805,52972256,53017673,53074908,53115240,53186009,53344792,53487893,53548146,53577653,53622270,53707255,53710793,53833433,53945909,54014453,54061546,54175193,54200309,54215227,54242009,54266008,54336111,54584393,54632366,54687509,54726809,54763644,54813771,54838161,55157179,55167758,55234133,55277813,55292309,55378613,55385753,55505909,55685139,55705855,55752780,55792853,55873506,55931033,56053013,56090933,56258009,56335644,56363966,56376531,56378009,56448473,56463792,56465909,56591573,56619593,56628206,56636309,56656256,56675033,56735093,56794072,56836553,56852309,56861756,56875315,56892294,56930009,57106060,57166553,57197088,57328063,57358409,57393353,57457493,57474293,57475119,57536153,57580373,57619733,57676851,57677273,57686548,57711448,57722009,57776309,57804533,57828809,57936699,57944309,57975509,58026713,58029800,58111433,58113723,58158809,58159656,58166453,58196309,58227353,58291733,58323604,58324373,58374809,58380053,58395353,58403573,58408409,58411452,58441673,58487753,58520009,58537433,58541513,58549913,58557173,58557593,58563509,58564313,58565909,58566293,59109758,59159388,59363695,59420575,59469632,59543128,59593788,59662690,59754158,59754645,59911204,60012891,60375055,60905006,61006179,61049259,61096255,61145084,61212540,61539326,61598872,61754098,61792046,61939176,62170046,62263203,62912290,63017625,63296655,63521766,63738288,63876952,63893331,64005268,64346724,64448706,64559128,64850455,64925379,65255188,65283525,65293376,65429613,65541003,65878766,66224060,66375448,66725486,66847026,66903336,66986019,67055512,67206158,67218800,67325966,67516432,67922846,67961368,68250378,68508295,68527272,69092248,69285604,69298731,69574958,69635760,69681573,70041806,70179274,70226455,70586859,70672792,71236434,71304690,71521219,71595228,71705574,71861571,72000206,72252908,72352804,72450066,72454958,72475288,72629019,72689960,72962788,73020158,73315506,73455048,73468759,74049112,74208706,74250926,74278144,74360839,74583566,74672379,75266253,75395608,75437451,75494748,75621150,75843928,75955986,76058336,76456539,76724650,76899604,77093181,77118986,77230780,77305166,77411032,77519006,77728779,77801188,77819955,77820546,78340230,78600165,78751768,78795970,78999268,79298068,79298923,79468872,79506891,79625726,80446515,80452286,80662560,81054655,81066158,81231080,81250450,81292156,81381604,81534699,81753763,81776205,82209954,82478366,82636929,82760152,83007952,83074958,83177815,83191339,83305251,83562912,83840176,83968923,84031975,84271746,84408699,84640526,84820059,84920548,84931594,85324419,85409486,85565628,85809616,86034355,86040064,86084632,86322355,86526808,86660815,86674468,86732156,87087411,87227952,87350120,87361255,87410392,87441999,87753086,87926215,87936686,88072408,88128148,88220140,88595739,88665326,88707604,89116046,89153571,89222259,89357983,89402481,89605455,89723767,89874700,90745380,91013908,91384965,91557655,91744766,92069580,92254958,92339486,92471128,92676936,93105171,93383946,93425246,93507758,93514515,93571625,94004632,94008276,94320198,94555164,94605800,95098072,95181603,95221483,95579152,96115155,96227486,96535818,96613406,96690158,96699028,96795072,96845211,97016722,97062232,97265586,97318459,97342659,97352625,97477296,97500540,97524926,97993298,98131446,98207552,98268885,98336691,98483259,98586328,98925758,99081459,99357326,99571166,99673048,99702655,99713006,99748816,99813378,...,18734477262139568500770561926671209935600588692851593237837674807640397401676003794175531600427212225288010008776494360765015113938284507848450837387842446304834410575486326953026920328717445236782069203429007770525007095698442408677868498939786239079509344723794523850929354748119397888767363258543003223870007281537980269826499278915941449001225566867328612676136369266104684004722422941495530602321611925920761498563578839163306083944558786673531236673411231999218731188887454051478738531805596836446457685417879721309097515005214692893451655924048485228765198661009422094872197667078775425320657975501438376752652884110049715987632779779750092286479771132603125983693942100686184968359614068841757255896346368628448947423950739335845341166199593083261144187060257452787824088491787929422914187901829764690608691203838791540893314932639793498196149332861010705647840039435003988110724301210674468452297744038139888144537860119135214154463933270394171176527158509432000294705109626657772345580513703219384635610054859404544002784828787927284083919991861126547464694629587115694594560048801528718544081750736539387786796500831589400673397262550038553563229005614229632470812450505678262109886038300659352100300170553415022555409740590159457681497001507739272356575590675493679149724110840573586048451326043012497910415847838260828427638603951079443511969112810756103925730468947077004779143705273277107535928771064531206359084177992526740603830959308373869464218359001252377749798385551961219258386406296431429608865875014834791301851506381599899793958737706087886221336402303644022291902208181096759382425427887384174189233666069070456956160870159986551139579332765696295455825269787083842204511865562211888848506939740320087903267314825388107722140097996482465533762733926635356760056102657526894584645242859951230118284185359331900623666514614672613941461617978099356765901366176342055964821952605582817723109966337418595035253970623325169944111540885461183837773497935061132607171313144819274913313815645976142604817371127014087890566879069712825277531234121434658557894639072566480149233808220419860562481083687817714895310017344102440003568503862560149964572418155804696716850996943402217694465691432780677336880629225580622418767332568297367429487941354305260284428962693766718915485896747870514471830313450324211402724833576056120320088896450158758305968616539841639639243998816895058520422131991009957590780817272721252598009}
15307  1044764795827941771344553567871777081061420883953142763866043665: {15307,229485,244784,275382,779637,993785,1177253,1192542,1391117,1681790,1877349,1987310,2018148,2354198,2367005,2384772,2459597,2840406,2996644,3100013,3192893,3244629,3280685,3313373,3363140,3376217,3513710,3936822,3953117,4035768,4216452,4280920,4379333,4428590,4540239,4566029,4648505,4733390,4816035,4932533,5137104,5314308,5512109,5578206,5647310,5680068,5713598,5733375,5779242,5962989,5992504,6115600,6150989,6199214,6210413,6256190,6294533,6741567,6776772,6880050,7144277,7338720,7507428,7583637,7727126,7780997,7827485,7827968,7852989,8025675,8041493,8127364,8256060,8280185,8407709,8560720,8806464,8826638,8841077,8856020,8928237,8992190,9130862,9392982,9554375,9630810,9863774,9907272,9936222,10206110,10267437,10272864,10327252,10409366,10501049,10627224,10745693,10790628,11115710,11145681,11334909,11379557,11465250,11508302,11556972,11610520,11955627,12012917,12079769,12229600,12247332,12338285,12630110,13061835,13223573,13262717,13338852,13339862,13488797,13610213,13684505,13758300,13932624,14543704,14675520,14751653,14805942,15045374,15073349,15087748,15135638,15156132,15350990,15452228,15570237,15653888,15674202,15808324,15833109,15921005,16012493,16144022,16217333,16256510,16353593,16361667,16421406,16509960,17161310,17213669,17258585,17271317,17476888,17610624,17648093,17650964,17771006,18148505,18209213,18421188,18573705,18884297,18946613,19105206,19269710,19475588,19478175,19507812,19661499,19669048,19811952,19948409,20305589,20367005,20409557,20442686,20527733,20527869,20593572,20710302,20776720,20853977,21035693,21073790,21125117,21622340,21778206,21819549,22127679,22288446,22444598,22583320,22874990,23105829,23123652,23367422,23373810,23449397,23535197,23871332,23950997,24226157,24355118,24440406,24597508,24642237,24673310,24897549,24932064,25053257,25197053,25288548,25406235,25533112,25701509,25916637,25946808,26145053,26342475,26496568,26592437,26918873,26999128,27066590,27099984,27449988,27727755,27831893,27842585,28048572,28098640,28279085,28303373,28449237,28724751,28744526,29078798,29143853,29156510,29190159,29194347,29576272,29607972,29707437,29748677,29808639,29840537,29958429,30050990,30171544,30374019,30487482,30679262,30753557,30894617,31580798,31600814,31610970,32062589,32191385,32456469,32479908,33201669,33247277,33273306,33411102,33621710,33660004,33718368,33758846,33882197,33934902,33942987,34007129,34138934,34215710,34683173,34755175,34820909,34987812,35376278,35486475,35750198,35995790,36061188,36525293,36583493,36733838,36874635,36934037,36974069,37143237,37852240,37888409,37933164,37991102,38119989,38629662,38647085,38722286,38861813,39091589,39332944,39544868,39927773,40008509,40346052,40396118,40433390,41058852,41171515,41280484,41372669,41541140,41626552,41648558,41706210,41751653,41900933,41992437,42057005,42232629,42498110,42583770,42632933,42651903,42835155,42858509,43194948,43428053,43575533,43816612,43848413,43898375,44079544,44249562,44371478,44486624,44859773,45061877,45135773,45144020,45235288,45335469,45422688,45443885,45472649,45619769,45690832,45992174,46021144,46198718,46350724,46376502,46384229,46475835,46639277,46676693,46735469,46755237,46829871,47161049,47482757,47496110,47842757,47868315,47978933,48085720,48447389,48520068,48870309,49118969,49190693,49226585,49405818,49547390,49574224,49589487,49650250,49694813,49807588,49849368,50047452,50468406,50497517,50537540,50616735,50776075,50889699,50997732,51052853,51059536,51100524,51390989,51402186,51431637,51586469,51638366,51663189,51732185,51773787,51952973,52035928,52072574,52100237,52106597,52152158,52178990,52283198,52678050,52762910,53345464,53810285,53899013,53929037,53991184,54076217,54096435,54172824,54196779,54259766,54455897,54532662,54639005,54658013,54842489,54882237,54899732,55328375,55771002,55879385,55892333,56080539,56189920,56485613,56489237,56688629,56995332,57131704,57381533,57381789,57441978,57550526,57702864,57708740,57763732,58029782,58078517,58540419,58586404,58632473,58646318,58673573,58816450,58972120,59071902,59076878,59407437,59456868,59466197,59497940,59580300,59581085,59641613,59961363,60013647,60268373,60443693,60455717,60576269,60582975,60645048,60740082,60904190,60931290,60944427,60977103,61025309,61090724,61144313,61229069,61624985,61838693,62078622,62200142,62595160,62614788,62640590,62965389,63213660,63315492,63415877,63552320,63603715,63659885,64065909,64085390,64118846,64273167,64295333,64374110,64519975,64572342,64621840,64792973,64915722,64958093,64993376,65152862,65161029,65225333,65465198,65526617,65566806,65867492,65971157,66033237,66215320,66250749,66343635,66363437,66394050,66551044,66680990,66976613,66988949,67055262,67148069,67425917,67427904,67565369,67734653,67832510,68111597,68225679,68454555,68845913,68907797,69250488,69535263,69690975,70015286,70419555,70579740,70696217,70766544,70820320,70992590,71077195,71382575,71397528,71496360,71497302,71594174,72054411,72108185,72139310,72415133,72448148,72537250,72631958,72699570,72904505,73014315,73018192,73085028,73117548,73139102,73149269,73360154,73378733,73396373,73949235,73949982,74246852,74337040,74428910,74492235,74498008,74565237,74889005,74991566,75083414,75114192,75168708,75285056,75324053,75710957,75856392,76077422,76262784,76324458,76391862,76431355,76484093,76515675,76633492,76644237,76694174,76883417,76902468,76998590,77063357,77202686,77247869,77248932,77322533,77423970,77484964,77546208,77713358,77818733,77881936,77906799,78196277,78395294,78828773,78865694,78879184,78906189,79458384,79612362,79672860,79811006,79846190,80006585,80017188,80247173,80322219,80433405,80698910,80769278,80792969,80912237,81092319,81220733,81341572,81399012,81568985,81616720,81948549,82145466,82254053,82585568,82663157,82751637,82780075,82969310,83017604,83210813,83362073,83629170,83631758,83810259,83819390,84023500,84293654,84395540,84503466,84545949,84695688,84929453,84942309,84951710,84984384,85191108,85292634,85338441,85387982,85526909,85659090,85705694,85795632,85857038,85931608,86263037,86365310,86529822,86567172,86607005,86969366,87044700,87213917,87239484,87280214,87388004,87485406,87617178,88340990,88453646,88542797,88664637,88739082,88921973,89033539,89129368,89204448,89267789,89314692,89390682,89494035,89631237,89636633,89707478,89866806,90014717,90241589,90316135,90441005,90541759,90594110,90643502,90862450,91000504,91110317,91203485,91357509,91369696,91513598,91717626,91758653,91818810,92308989,92398308,92561390,92631147,92688069,92810366,92847680,92908764,92968478,93010013,93104597,93255069,93539342,93576029,94064573,94115812,94244510,94368435,94544909,94804910,94981912,95013326,95017022,95072920,95282649,95460304,95607432,95708837,95731253,95815428,96007902,96124505,96520086,96538475,96600088,96673059,96763790,96838692,96965078,97251485,97358909,97754008,97882782,97940064,97954997,98439710,98749085,98785493,98812253,98818149,99007469,99060509,99122585,99336090,99563172,99820637,99947693,...,24979303016186091334360749235561613247467451590468790983783566410187196535568005058900708800569616300384013345035325814353353485251046010464601116517123261739779214100648435937369227104956593649042758937905343694033342794264589878237157998586381652106012459631726031801239139664159197185023151011390670965160009708717307026435332371887921932001634089156438150234848492354806245339629897255327374136428815901227681998084771785551074778592745048898041648897881642665624974918516605401971651375740795781928610247223839628412130020006952923857935541232064646971686931548012562793162930222771700567094210634001917835670203845480066287983510373039666789715306361510137501311591922800914913291146152091789009674528461824837931929898600985781127121554932790777681525582747009937050432117989050572563885583869106352920811588271785055387857753243519724664261532443814680940863786719246671984147632401614232624603063658717519850859383813492180285539285244360525561568702878012576000392940146168877029794107351604292512847480073145872725337046438383903045445226655814835396619592839449487592792746731735371624725442334315385850382395334442119200897863016733384738084305340818972843294416600674237682813181384400879136133733560737886696740546320786879276908662668676985696475434120900658238866298814454098114731268434724016663880554463784347771236851471934772591349292150414341471900973958596102673038858273697702810047905028086041608478778903990035654138441279077831825952291145335003170333064514069281625677848541728575239478487833353113055069135341842133199725278316941450514961781869738192029722536277574795679176567237183178898918978221425427275941547826879982068186105777020928393941100359716111789606015820749615851798009252987093450537689753100517476962853463995309954045016978568847142346741470210035859446193657146601640157712247145775867498222019486230151921948823970799142354535154901789407953095936807443756964146621783224793380338627497766893258815387847281578450364663913414843476228417526425699884418420861301523473089828169352117187422505426283767036708312161912878077192852096755306865645077627226480749974778250423619860413356458803253338091338483413533286096557541072928955801329257869623592620921910374236449174172300774163225023110091063156572650588472407013712571950258355625220647862330494019295773751267098948536966444768074827093451861933545011074624822053122186185658665089193411360562842654679943454374423030295003464012}
15308  1049445733152101625021159850312852250164552251538206285977510315: {214186,290491,305980,367176,413073,473587,519826,565027,580906,886066,1021147,1039516,1129906,1312618,1434346,1590056,1656691,1788813,2224018,2405866,2503132,2522685,2690864,2708626,2980965,3027222,3179696,3252586,3433618,3531297,3577158,3745805,3787208,4163587,4203925,4260609,4326172,4494966,4756786,5044710,5056426,5243441,5249096,5270565,5351150,5381024,5621936,5658091,5905233,6012586,6053652,6267427,6324678,6421380,6527491,6642885,6727018,6786907,6849472,6905266,7024018,7085744,7100085,7217827,7437608,7490630,7573424,7644500,7705656,7950652,7971462,7988947,8367309,8414827,8470965,8499787,8520102,8570397,8668863,8797618,8988756,9035696,9173400,9298821,9384285,9784960,10009904,10089106,10111516,10159205,10165158,10320075,10439986,10470652,10700900,10731946,10932307,10965226,11008080,11015107,11070025,11261142,11431018,11590689,11741952,11904316,12003091,12185746,12191046,12384090,12411691,12475306,12523976,12655987,12725741,12841080,12909065,13053226,13061707,13209696,13223491,13239957,13248296,13284030,13488285,13689916,13696293,13697152,13744618,13867747,14089473,14169632,14204266,14387504,14446215,14513150,14795661,14860908,14904333,15063346,15113212,15287000,15292277,15309165,15409296,15458227,15463018,15490878,15614049,15940836,16146346,16185942,16329776,16673565,16770706,16942507,17197875,17210417,17262453,17335458,17405827,17415780,17449618,17785136,17844586,17943091,18172267,18179630,18344400,18370998,18576832,18859685,18945165,19136818,19315285,19567360,19696018,19741256,19760405,19807666,19833091,20008278,20009793,20208176,20637450,20760316,20898936,21110812,21312691,21640618,21678091,21815556,21846110,21895208,21896467,22013280,22027186,22063705,22186627,22208913,22258987,22341473,22357906,22468018,22568061,22631622,22703457,22734198,22852906,23026485,23178342,23184497,23480832,23511303,23620147,23624237,23712486,23948266,24216033,24344485,24384765,24561584,24586310,24632109,24676387,24764940,24765586,24819946,25094347,25471018,25473608,25579306,25741965,25879238,25970900,26010416,26215332,26400101,26415936,26443306,26476446,26604691,26656509,26740267,26807947,26927506,27027925,27370492,27458096,27613736,27614491,27631782,28080187,28146427,28159018,28229150,28388789,28410667,28657809,28904565,28957618,29037608,29092732,29213382,29261718,29503572,29717928,29839165,30280618,30355747,30664029,30746885,30807772,30831536,30863491,30890358,31065453,31165080,31408333,31488946,31610685,31678747,31916390,32011666,32433510,32543107,32587208,32636818,32667309,32856316,32896618,33120710,33196732,33242752,33432669,33545993,33666897,33718064,33748910,33753427,33874980,33932491,34110907,34229491,34312485,34347787,34416326,34447018,34555516,34595744,34685478,34700947,34934947,34993267,35051133,35060715,35114386,35123300,35514907,35572507,35806998,35830066,35859427,36133312,36144547,36339346,36423233,36532677,36593386,36599984,36660609,36896262,36970340,37009965,37100491,37398096,37543147,37714430,37932316,37932822,38260018,38299668,38569601,38911786,38920212,38925796,39267691,39373027,39477296,39511018,39580877,39609916,39610666,39635107,39660466,39744852,39760018,39944572,39979478,40107946,40268501,40498692,40599885,40649976,41069491,41174982,41393386,41568091,42072858,42075005,42147960,42205507,42399187,42472618,42476929,42619186,42878347,43116789,43275292,43306544,43377446,43447018,43618197,43734765,43786546,44076946,44173618,44268892,44318506,44364408,44411958,44511466,44548136,44677094,44752306,44957824,45076485,45232786,45246536,45257316,45385027,45531437,45602107,45645307,45731223,46018893,46030867,46093618,46368691,46474546,46494187,46650416,46677281,47071267,47242286,47315300,47371197,47401221,47416455,47516818,48042566,48081584,48223018,48260347,48298867,48521077,48719862,48755491,49009493,49166180,49238467,49384627,49431085,49524316,49565707,49601707,49909959,49990241,50116653,50432565,50490006,50577552,50614387,50638269,50689426,50826652,50902353,51048691,51103786,51208401,51277507,51323565,51470827,51506216,51600605,51926425,52033190,52398547,52481718,52546867,52605691,52748266,53064417,53065618,53156146,53534707,53625297,53668627,53721691,53794736,53853091,53993685,54034027,54059587,54091782,54102826,54236491,54555667,54603691,54722491,54745136,54770765,55099430,55100757,55176106,55220626,55397491,55608280,55989916,56065147,56107666,56233627,56310172,56324707,56416618,56430025,56466691,56518747,56544110,56753107,56770142,56778360,56849227,56869204,56899746,56927347,56958091,56986653,57063427,57113540,57179491,57207466,57318091,57358267,57410827,57423787,57512491,57526430,57593264,57597667,57633091,57690691,57731818,57818986,57821587,57922747,57938405,57944493,57949618,58083429,58144147,58152067,58205491,58308091,58383907,58394491,58456267,58572691,58579747,58582627,58583491,58600618,58999416,59161906,59248018,59311733,59317302,59763346,60107150,60447292,60519078,60532018,60563584,60593489,60594177,60650085,60659626,60829546,61588278,61591018,61717426,61835336,61920726,61927786,61967780,62259485,62305426,62311710,62340316,62439828,62472837,62559315,63171925,63554866,63747165,63824420,63875655,63890918,64072541,64693424,64792422,64912618,65035186,65044910,65160412,65185757,65724918,65874424,65929618,66119316,66252946,66374343,66414226,66465824,66557217,66681830,66729936,67016746,67256746,67291208,67488980,67716030,67814506,67852932,67933618,67996976,68134032,68146694,68536248,68575516,68624665,68645266,68884252,68988261,69019286,69031716,69116818,69298077,69390826,69526086,69564753,69819826,70091818,70237400,70401706,70672018,71244165,71414630,71897746,72128580,72135925,72204665,72230432,72262372,72466666,72710216,72780102,73144618,73176316,73233005,73715150,74108727,74321085,74361336,74372425,74475375,74521906,74711382,74774052,75071178,75074026,75190157,75293866,75702609,75806310,75840946,75993776,76363405,76496598,76509052,76589304,76650786,76816618,76937152,77103279,77246506,77457549,77638546,77988197,78053892,78108861,78228237,78243950,78268485,78424797,78487186,78762536,79017075,79144365,79209916,79222186,79275824,79440400,79569706,79625441,79948484,80018196,80053546,80500018,80777300,80860064,80986776,81241720,81259236,81302804,81389649,81798993,82091626,82334365,82349598,82625386,82769150,82771496,82923826,82939142,83089066,83109173,83122066,83188805,83486384,83527766,83656503,83953852,84284880,84396586,84420656,84525077,84558226,85421212,85456018,85492998,85534757,85697556,86026546,86096456,86162967,86184106,86309866,86325789,86554296,86563110,86645598,86881372,87044673,87121066,87422408,87491818,87701198,87799018,87879606,87969477,88044316,88077206,88224675,88334332,88408618,88458180,88525400,88607853,88615317,89071786,89185302,89246910,89311018,89370450,89407016,89903872,90287026,90550186,90560185,90724906,90790637,90841066,90967572,91110123,91159186,91272740,91356285,91396935,91636086,91789618,92299666,92333984,92356018,92692786,92713684,92808565,92921300,93117933,93122510,93300213,93552106,93716909,93892740,93922182,93960885,94098346,94106320,94355392,94820490,94973238,95012266,95196704,95303986,95328480,95329736,95409586,95791865,95911613,95933746,96072548,96128085,96178269,96271018,96561165,96579946,96856205,96858513,96932760,97342186,97352420,97373583,97446704,97467826,97490064,97689229,97729293,98090026,98197797,98287018,98317037,98350209,98458546,98598980,98599976,98801238,98968426,99016618,99088786,99322980,99420316,99447466,99591075,99826566,...,37468954524279137001541123853342419871201177385703186475675349615280794803352007588351063200854424450576020017552988721530030227876569015696901674775684892609668821150972653906053840657434890473564138406858015541050014191396884817355736997879572478159018689447589047701858709496238795777534726517086006447740014563075960539652998557831882898002451133734657225352272738532209368009444845882991061204643223851841522997127157678326612167889117573347062473346822463998437462377774908102957477063611193672892915370835759442618195030010429385786903311848096970457530397322018844189744395334157550850641315951002876753505305768220099431975265559559500184572959542265206251967387884201372369936719228137683514511792692737256897894847901478671690682332399186166522288374120514905575648176983575858845828375803659529381217382407677583081786629865279586996392298665722021411295680078870007976221448602421348936904595488076279776289075720238270428308927866540788342353054317018864000589410219253315544691161027406438769271220109718809088005569657575854568167839983722253094929389259174231389189120097603057437088163501473078775573593001663178801346794525100077107126458011228459264941624901011356524219772076601318704200600341106830045110819481180318915362994003015478544713151181350987358299448221681147172096902652086024995820831695676521656855277207902158887023938225621512207851460937894154009558287410546554215071857542129062412718168355985053481207661918616747738928436718002504755499596771103922438516772812592862859217731750029669582603703012763199799587917475412175772442672804607288044583804416362193518764850855774768348378467332138140913912321740319973102279158665531392590911650539574167684409023731124423777697013879480640175806534629650776215444280195992964931067525467853270713520112205315053789169290485719902460236568370718663801247333029229345227882923235956198713531802732352684111929643905211165635446219932674837190070507941246650339888223081770922367675546995870122265214342626289638549826627631291952285209634742254028175781133758139425650555062468242869317115789278145132960298467616440839721124962167375635429790620034688204880007137007725120299929144836311609393433701993886804435388931382865561354673761258451161244837534665136594734858975882708610520568857925387533437830971793495741028943660626900648422805449667152112240640177792900317516611937233079683279278487997633790117040844263982019915181561634545442505196018}
15309  1054147475925603933488360461860376200003079521618760318406628245: {30614,321279,382475,458970,489568,550764,779739,871359,1299395,1329099,1391299,1559274,1694859,1849727,1968927,1987570,2151519,2354506,2385084,2782234,3128915,3313807,3336027,3363580,3608799,3754698,3773419,3974620,4036296,4062939,4540833,4592959,4708396,4734010,4769544,4870811,4878879,4919194,5150427,5365737,5407715,5512831,5680812,5970179,5993288,6200026,6385786,6489258,6507907,6561370,6626746,6726280,6742449,6752434,7027420,7135179,7339579,7524659,7567065,7584639,7873644,7906234,8026725,8071536,8074127,8432904,8561840,8758666,8857180,8987551,9018879,9080478,9132058,9297010,9466780,9487017,9555625,9632070,9865066,9938315,10090527,10274208,10357899,10536027,10628616,10958479,11024218,11156412,11235945,11294620,11360136,11427196,11466750,11558484,11592259,11892287,11925978,11957193,11985008,12231200,12301978,12398428,12420826,12512380,12589066,12639395,12780153,13088315,13196427,13376125,13483134,13553544,13760100,14288554,14677440,14880395,15014856,15133659,15167274,15247737,15278699,15454252,15561994,15627859,15654970,15655936,15659979,15705978,16051350,16082986,16097919,16254728,16447839,16512120,16560370,16815418,16891713,17112395,17121440,17146527,17273599,17481427,17612928,17653276,17682154,17712040,17856474,17984380,18261724,18278619,18286569,18569027,18576135,18712959,18785964,18891515,19108750,19158307,19165939,19261620,19579839,19727548,19814544,19872444,19926045,20343427,20412220,20534874,20545728,20616927,20654504,20663039,20762579,20818732,21002098,21105979,21254448,21306399,21491386,21519979,21581256,21769725,22231420,22289407,22291362,22595019,22669818,22759114,22847627,22930500,23016604,23113944,23194527,23221040,23236317,23403899,23911254,24025834,24159538,24162019,24219519,24278913,24459200,24494664,24676570,24829211,25156059,25260220,25407907,25596587,25950395,26003187,26123670,26174427,26388515,26447146,26525434,26677704,26679724,26766879,26977594,27220426,27269445,27369010,27516600,27556497,27795647,27865248,28000699,28513807,28705227,28775347,29087408,29351040,29503306,29544027,29611884,29711499,29720959,30012417,30090748,30146698,30175496,30271276,30312264,30701980,30898699,30904456,30956175,31140474,31307776,31348404,31616648,31666218,31739807,31842010,32024986,32288044,32434666,32460927,32463625,32513020,32707186,32723334,32723867,32769165,32842812,33019920,33040779,33536859,33702027,33763547,33947433,34101297,34213115,34279359,34322620,34427338,34517170,34542634,34767513,34953776,35221248,35296186,35301928,35542012,35568729,35922399,36297010,36365915,36418426,36842376,36879465,37147410,37148379,37222351,37229919,37768594,37893226,38206527,38210412,38368959,38509715,38539420,38818857,38951176,38956350,38979619,39015624,39322998,39338096,39434627,39590719,39623904,39664959,39714669,39896818,40391259,40611178,40734010,40819114,40885372,41052499,41055466,41055738,41070395,41187144,41420604,41447673,41495915,41553440,41707954,42071386,42147580,42238527,42250234,42343725,43194395,43244680,43433791,43436427,43556412,43639098,43696627,43788319,43820073,43892577,43904125,44255358,44409139,44576892,44889196,45067939,45166640,45420927,45749980,46211658,46212925,46247304,46335537,46417547,46734844,46747620,46898794,47070394,47081819,47233419,47415395,47690827,47734499,47742664,47874585,47901994,48017499,48452314,48650265,48657245,48710236,48880812,48955227,49032947,49195016,49284474,49344927,49346620,49512395,49681065,49795098,49864128,49930715,50106514,50394106,50577096,50623365,50812470,51066224,51403018,51590239,51624489,51670527,51833274,51874499,51893616,52028217,52290106,52671579,52684950,52993136,53184874,53710497,53745099,53837746,53998256,54094115,54105919,54133180,54199968,54509019,54890079,54899976,55232827,55336115,55344393,55455510,55663786,55685170,56097144,56197280,56510827,56558170,56571645,56606746,56898474,56899233,57059071,57067967,57390027,57449502,57489052,57551051,57640121,58157596,58287706,58313020,58367679,58380318,58388694,58879807,58994111,59144125,59152544,59215944,59266527,59414874,59415999,59490699,59497354,59617278,59640027,59681074,59916858,59969217,60101980,60161919,60343088,60748038,60965827,60974964,61160339,61358524,61457725,61507114,61762473,61789234,61905395,62090079,62195519,63109287,63161596,63201628,63221940,63468659,63533315,63621439,63708927,63928779,64125178,64382770,64912938,64959816,65066169,65170527,65233951,65381051,65530411,65679819,65710667,66115419,66260427,66403338,66477759,66494554,66511307,66546612,66617937,66746027,66767199,66822204,67015641,67128459,67243420,67320008,67436736,67517692,67764394,67814539,67849179,67869804,67885974,68014258,68277868,68431420,68577311,68917219,69140427,69366346,69510350,69641818,69711819,69975624,69987395,70387715,70484447,70752556,70863429,70972950,71086505,71226259,71275227,71391925,71500396,71969267,71991580,72063849,72122376,72334527,72361627,72425059,73050586,73079793,73166986,73467676,73593907,73749270,73868074,73948138,74286474,75334399,75559115,75704480,75735009,75776818,75791819,75866328,75982204,76034139,76186847,76239978,76494607,76655679,77259324,77294170,77444572,77459725,77723626,77925395,78049785,78183178,78231139,78389291,78665888,78722577,79013419,79089736,79122399,79154179,79598427,79610411,79734219,79780525,79855546,80017018,80456339,80669027,80692104,80792236,80866780,81137673,81154239,81300827,81450515,82117704,82343030,82560968,82649145,82674079,82745338,82764159,82830939,83082280,83253104,83297116,83412420,83413519,83503306,83801866,83984874,84114010,84161499,84361225,84465258,84481027,84624927,84816165,84990827,84996220,85155213,85167540,85265866,85303806,85349619,85670310,85717018,85719395,85811199,85909979,86105315,86169179,86274979,86289645,86389896,86597727,86728479,86856106,86924427,87151066,87395839,87633224,87696826,87796750,87900927,88159088,88499124,88742859,88742956,88872027,88973248,88975953,89045201,89123839,89645019,89648939,89719546,90123754,90160725,90271546,90272891,90288040,90318107,90327965,90470576,90670938,90778617,90798027,90845376,90887770,90945298,90989439,91239538,91244319,91381664,91470395,91984348,92042288,92382417,92386527,92397436,92576139,92701448,92753004,92768458,92881089,92891679,92910179,92951670,93161567,93278554,93353386,93458139,93467565,93470938,93510474,93659742,94322098,94965514,94992220,95332299,95636315,95685514,95726531,95736630,95836377,95957866,95988139,96171440,96851711,96894778,97040136,97188633,97368927,97552779,97567365,97740618,98237938,98381386,98453170,98587377,98811636,98894427,99012395,99093899,99094780,99148448,99178974,99300500,99379419,99389626,99508073,99615176,99621339,99698736,99935605,...,56203431786418705502311685780013629806801766078554779713513024422921192205028011382526594801281636675864030026329483082295045341814853523545352512163527338914503231726458980859080760986152335710346207610287023311575021287095327226033605496819358717238528034171383571552788064244358193666302089775629009671610021844613940809479497836747824347003676700601985838028409107798314052014167268824486591806964835777762284495690736517489918251833676360020593710020233695997656193566662362154436215595416790509339373056253639163927292545015644078680354967772145455686295595983028266284616593001236326275961973926504315130257958652330149147962898339339250276859439313397809377951081826302058554905078842206525271767689039105885346842271852218007536023498598779249783432561180772358363472265475363788268742563705489294071826073611516374622679944797919380494588447998583032116943520118305011964332172903632023405356893232114419664433613580357405642463391799811182513529581475528296000884115328879973317036741541109658153906830164578213632008354486363781852251759975583379642394083888761347083783680146404586155632245252209618163360389502494768202020191787650115660689687016842688897412437351517034786329658114901978056300900511660245067666229221770478373044491004523217817069726772026481037449172332521720758145353978129037493731247543514782485282915811853238330535907338432268311777191406841231014337431115819831322607786313193593619077252533977580221811492877925121608392655077003757133249395156655883657775159218889294288826597625044504373905554519144799699381876213118263658664009206910932066875706624543290278147276283662152522567700998207211370868482610479959653418737998297088886367475809361251526613535596686635666545520819220960263709801944476164323166420293989447396601288201779906070280168307972580683753935728579853690354852556077995701870999543844017841824384853934298070297704098529026167894465857816748453169329899012255785105761911869975509832334622656383551513320493805183397821513939434457824739941446937928427814452113381042263671700637209138475832593702364303975673683917217699440447701424661259581687443251063453144685930052032307320010705511587680449893717254467414090150552990830206653083397074298342032010641887676741867256301997704892102288463824062915780853286888081300156746457690243611543415490940350972634208174500728168360960266689350476274917905849619524918917731996450685175561266395973029872772342451818163757794027}
15310  1058870115886079562902080496909757855151751901757285502300364345: {45921,168289,351601,428372,580982,611960,626029,688455,717361,734352,826146,947174,1039652,1130054,1161812,1263841,1772132,2042294,2078701,2079032,2258989,2259812,2338911,2618701,2625236,2708449,2868692,2981355,3180112,3313382,3423841,3512941,3531759,3577626,3868621,4173351,4204475,4399981,4448036,4811732,4968275,5006264,5045370,5244127,5279821,5367409,5381728,5417252,5632047,5885495,5961930,6054444,6239329,6359392,6412849,6505172,6586081,6867236,6931681,7062594,7101015,7104049,7154316,7378791,7491610,7574416,8217421,8302561,8327174,8387629,8407850,8521218,8642401,8652344,8727181,8784275,8989932,9300039,9402829,9513572,9571021,9578679,9733887,9842055,9906541,9940119,9990241,10089420,10112852,10128651,10486882,10490929,10498192,10541130,10702300,10762048,11071475,11071789,11237101,11243872,11316182,11810466,11833475,11859351,11895469,12025172,12107304,12467761,12534854,12649356,12793201,12842760,13054982,13137999,13285770,13454036,13521229,13573814,13620717,13698087,13698944,13810532,13945515,14048036,14083441,14118275,14171488,14200170,14222887,14283995,14435654,14448105,14797599,14875216,14981260,15118189,15146848,15289000,15411312,15498035,15640475,15670321,15901304,15942924,15977894,16297009,16536327,16734618,16829654,16941930,16999574,17040204,17140794,17200125,17228401,17305549,17337726,17595236,17690209,17888967,17920141,17977512,18071392,18072691,18225709,18346800,18452967,18597642,18631239,18768570,18883599,19317815,19569920,19586509,19811041,19885741,20019808,20109409,20178212,20223032,20224701,20318410,20330316,20333687,20480749,20640150,20850289,20879972,20941304,21364621,21401800,21432831,21437809,21463892,21864614,21930452,21948109,22016160,22030214,22066595,22093261,22140050,22165729,22480475,22522284,22750911,22827155,22862036,23101261,23181378,23342991,23482455,23483904,23528941,23558967,23808632,24006182,24077025,24124479,24165601,24371492,24382092,24446689,24586801,24659435,24768180,24823382,24840555,24866161,24950612,25047952,25223127,25311974,25352269,25451482,25515275,25628461,25682160,25818130,26023415,26106452,26123414,26313901,26382049,26403559,26419392,26446982,26479914,26496592,26523231,26568060,26586061,26784711,26976570,27041399,27379832,27392586,27394304,27395629,27489236,27529549,27664567,27735494,27789275,28178946,28339264,28408532,28663125,28770755,28775008,28892430,28918321,29026300,29568481,29591322,29633101,29721816,29808666,30019309,30126692,30226424,30466609,30530221,30574000,30584554,30618330,30802311,30818592,30889187,30910381,30916454,30926036,30973489,30981756,31099489,31162381,31228098,31412447,31503147,31575275,31881672,32237079,32292692,32371884,32659552,33257869,33347130,33349655,33437043,33541412,33550387,33619021,33678961,33885014,34004727,34037089,34082279,34138671,34395750,34420834,34451629,34524906,34670916,34811654,34831560,34899236,35103431,35212129,35385901,35570272,35689172,35866881,35886182,35960461,36038751,36074509,36239307,36344534,36359260,36584161,36688800,36741996,37014855,37118939,37153664,37310029,37613435,37695841,37719370,37839095,37890330,38273636,38377475,38456881,38630570,38671729,38778721,38832109,39134720,39185505,39392036,39482512,39520810,39615332,39624289,39666182,39670719,39788151,39832801,39884749,40016556,40019586,40246369,40360055,40416352,40466391,40553521,40604461,40641275,40830639,41053515,41274900,41520632,41558641,41608141,41774831,41797872,42099181,42221624,42625382,42774541,42903275,43045639,43281236,43356182,43435789,43631112,43692220,43790416,43792934,43899469,44026560,44054372,44127410,44219761,44254959,44373254,44417826,44427515,44517974,44581489,44626381,44682946,44715812,44936036,45136122,45159469,45220047,45263244,45406914,45468396,45595789,45705812,46052970,46194541,46236769,46356684,46368994,46710711,46779181,46943629,46961664,47022606,47025421,47228641,47240294,47248474,47424972,47499327,47589901,47763015,47827501,47896532,48037479,48140269,48174275,48333409,48371821,48410161,48432066,48651999,48688970,48769530,49060779,49085001,49123168,49172620,49264218,49352774,49526881,49529880,49531172,49639892,49742449,49884721,49990669,50165809,50188694,50200007,50881741,50942036,50947216,51106715,51113329,51158612,51373681,51405901,51483930,51597709,51641007,51661069,51755569,51758476,51775755,51813951,51818209,51941800,52004401,52020832,52065889,52308961,52428769,52430664,52684475,52723249,52800202,52831872,52886612,52925101,52944279,52952892,53067121,53209382,53313018,53427949,53455201,53480534,53543831,53615894,53829169,53855012,53855341,53985121,54036529,54055850,54229439,54338929,54445515,54627639,54740984,54916192,55206061,55227472,55228982,55263564,55315681,55337389,55444849,55508461,55654369,55721115,55816801,55955149,56032621,56111495,56146669,56160374,56184109,56292854,56318036,56402701,56458300,56652891,56678029,56760289,56777578,56792689,56821334,56839839,56919409,57144589,57187475,57201901,57244129,57315618,57343091,57406561,57419629,57688909,57756301,57809130,57915236,57971761,58075216,58097761,58185464,58186861,58194529,58267249,58380001,58385581,58417549,58418555,58426764,58434525,58523436,58549741,58559821,58568749,58570801,58579981,58593841,58596721,58905007,58984497,59007144,59435856,59678330,59845227,60561236,60711494,60887795,60916767,61101015,61228671,61328058,61493770,61583199,61583607,61615544,61663072,61683275,61726982,61780716,62130906,62330160,62561931,62816666,62977892,63107079,63221370,63357494,63375351,63832780,64023332,64867020,65086214,65174416,65273636,65334618,65458647,65628959,65712632,65793236,66241420,66383037,66393464,66485504,66865338,67091986,67333794,67436128,67497820,67506854,67666475,67749960,67864982,68221814,68458982,68624970,68695574,68832652,68894036,69111032,69191488,69203519,69317487,69370956,69401894,69869894,69986534,70102266,70121430,70228772,70246600,70348191,70605591,71029814,71145014,71610487,71613996,71660132,71718854,71852991,71861315,72240847,72266624,72289094,72678471,72678692,72696995,72846466,72891275,73065354,73186772,73199968,73321218,73792524,73926711,73940680,74019930,74200982,74692647,74796192,74967467,75086294,75127475,75159771,75428860,75591159,75864632,75865644,76218705,76520036,76599336,76679071,76698155,77104527,77139202,77749911,77823572,77840424,77851592,78435159,78535382,78746054,78951995,78954592,79002035,79022036,79027425,79161754,79219832,79221332,79270214,79320932,79489704,79520036,79777311,79889144,79958956,80215892,80537002,80756619,80997384,81113767,81199770,81299952,82138982,82349964,82786772,83136182,83183265,83495679,83527755,84054275,84145716,84150010,84295920,84397115,84411014,84798374,84837255,84910119,84945236,84953858,85238372,85347335,85347711,85539275,85756694,86174253,86233578,86550584,86613088,86675567,86754892,86894036,87163279,87236394,87431559,87469530,87570477,87573092,87583041,88153892,88347236,88440695,88537784,88637012,88728816,88823916,89022932,89096272,89122311,89246031,89354188,89375495,89425917,89504612,89521611,89875287,89915648,89989475,90152970,90465572,90493072,90514632,90770054,91062874,91122057,91204214,91290614,91462446,91834595,92037786,92061734,92187236,92260671,92683851,92737382,92949092,92988374,93300832,93354562,94142534,94484572,94630600,94742394,94802442,94832910,94977755,95033636,96074531,96085132,96163168,96187767,96446036,96520694,96574155,96597734,96805715,97042154,97369407,97439724,97510982,98018986,98332360,98476934,98769254,98862170,99048632,99131414,99203414,99605007,99741831,99819918,99980482,...,74937909048558274003082247706684839742402354771406372951350699230561589606704015176702126401708848901152040035105977443060060455753138031393803349551369785219337642301945307812107681314869780947128276813716031082100028382793769634711473995759144956318037378895178095403717418992477591555069453034172012895480029126151921079305997115663765796004902267469314450704545477064418736018889691765982122409286447703683045994254315356653224335778235146694124946693644927996874924755549816205914954127222387345785830741671518885236390060020858771573806623696193940915060794644037688379488790668315101701282631902005753507010611536440198863950531119119000369145919084530412503934775768402744739873438456275367029023585385474513795789695802957343381364664798372333044576748241029811151296353967151717691656751607319058762434764815355166163573259730559173992784597331444042822591360157740015952442897204842697873809190976152559552578151440476540856617855733081576684706108634037728001178820438506631089382322054812877538542440219437618176011139315151709136335679967444506189858778518348462778378240195206114874176327002946157551147186003326357602693589050200154214252916022456918529883249802022713048439544153202637408401200682213660090221638962360637830725988006030957089426302362701974716598896443362294344193805304172049991641663391353043313710554415804317774047876451243024415702921875788308019116574821093108430143715084258124825436336711970106962415323837233495477856873436005009510999193542207844877033545625185725718435463500059339165207406025526399599175834950824351544885345609214576089167608832724387037529701711549536696756934664276281827824643480639946204558317331062785181823301079148335368818047462248847555394027758961280351613069259301552430888560391985929862135050935706541427040224410630107578338580971439804920473136741437327602494666058458690455765846471912397427063605464705368223859287810422331270892439865349674380141015882493300679776446163541844735351093991740244530428685252579277099653255262583904570419269484508056351562267516278851301110124936485738634231578556290265920596935232881679442249924334751270859581240069376409760014274015450240599858289672623218786867403987773608870777862765731122709347522516902322489675069330273189469717951765417221041137715850775066875661943586991482057887321253801296845610899334304224481280355585800635033223874466159366558556975995267580234081688527964039830363123269090885010392036}
15311  1063613745172432841215333379155920267966153024713038233737074828: {61228,535465,642558,764950,871473,917940,979136,1101528,1239219,1299565,1420761,1452265,1559478,1695081,1742718,1819153,1849969,2186041,2215165,2598790,2658198,2782598,2824765,3063441,3118548,3281545,3389718,3585865,3699454,3865081,3937854,3975140,4303038,4380481,4415053,4709012,4770168,4871449,4970073,5206729,5366439,5560045,5564468,5756413,5970961,6014665,6212041,6257830,6627614,6672054,6672553,6727160,6771565,6881809,7217598,7509396,7546838,7568055,7570801,7949240,8043601,8072592,8125878,8131465,8409913,8584045,8942895,9081666,9185918,9416792,9468020,9539088,9741622,9757758,9838388,9891409,10177753,10300854,10593891,10731474,10815430,11025662,11226721,11237415,11361624,11891965,11940358,11986576,12227281,12400052,12490761,12611775,12641065,12771572,12781827,12978516,13015814,13122740,13253492,13377875,13452560,13484898,13504868,13732141,13893121,13913641,14054521,14054840,14270358,14679158,15031465,15049318,15134130,15169278,15730323,15747288,15796621,15811695,15812468,16053450,16143072,16148254,16475521,16817545,16865808,16886089,16974273,17076193,17123680,17263165,17343553,17517332,17560045,17695153,17714360,17715699,17882161,17975102,18037758,18121549,18160956,18264116,18323641,18594020,18726575,18802281,18877441,18933560,18974034,19111250,19264140,19582473,19730132,19876630,19928655,20181054,20360721,20548416,20715798,20832553,21072054,21196681,21257232,21300255,21363481,21653481,21916958,21994045,22048436,22194481,22312824,22471890,22589240,22720272,22854392,22933500,23108461,23116968,23181169,23184518,23784574,23851956,23914386,23957353,23966841,23970016,24462400,24603956,24796856,24841652,24849361,25017961,25024760,25101927,25162489,25178132,25222765,25244481,25278790,25412895,25499361,25560306,25711191,26006589,26086381,26099965,26176630,26392854,26448121,26479753,26752250,26829865,26845201,26966268,27001741,27107088,27140641,27413065,27520200,27625153,27896463,28152855,28577108,28577545,29343613,29354880,29760790,29773249,30029712,30267318,30334548,30464365,30477615,30495474,30557398,30908504,30960225,31112353,31123988,31188265,31255718,31309940,31311872,31319958,31411956,32072161,32102700,32165972,32195838,32509456,32633065,32796921,32849401,32895678,33024240,33045321,33056089,33066541,33120740,33210075,33614353,33630836,33783426,34224790,34242880,34293054,34361545,34547198,34772067,34962854,35225856,35279401,35306552,35364308,35424080,35510665,35712948,35968760,36009273,36282875,36330553,36523448,36557238,36573138,36583993,36943921,36983881,37138054,37152270,37235073,37425918,37510681,37571928,37637281,37658365,37735729,37783030,37967961,38177223,38217500,38316614,38331878,38523240,38657545,38673661,38727195,39159678,39185121,39213133,39455096,39595369,39629088,39670473,39719871,39744888,39852090,40365865,40400653,40464855,40686854,40824440,41069748,41088879,41091456,41233854,41309008,41326078,41525158,41603241,41637464,41926765,41928001,42004196,42211958,42268419,42508896,42612798,42982772,43039958,43162512,43338645,43539450,43624045,44244289,44285281,44386983,44462840,44470861,44476729,44578814,44582724,44611465,44712999,45190038,45339636,45449075,45518228,45695254,45861000,45876831,45927495,46033208,46227888,46374681,46389054,46442080,46472634,46747921,46807798,46842147,47527273,47822508,47842045,47898361,47961853,48051668,48319076,48324038,48431353,48439038,48557826,48918400,48989328,49240045,49353140,49519165,49546381,49658422,50020695,50312118,50328841,50520440,50699041,50815814,50827521,50912281,51193174,51593625,51631251,51681361,51787359,51881353,51900790,52006374,52217481,52245721,52247340,52348854,52570801,52777030,52886833,52894292,53050868,53355408,53359448,53533758,53829273,53913601,53955188,54101545,54102721,54440852,54502129,54516801,54538890,54615275,54638041,54738020,54801529,54857101,55033200,55067965,55112994,55591294,55730496,55894765,56001398,56170045,56579055,56701501,56835495,57027614,57132265,57148681,57396889,57410454,57498553,57550694,57945855,58039201,58079761,58094281,58174816,58702080,59006612,59088054,59223768,59281215,59422998,59441918,59499273,59656621,59870665,60024834,60029379,60181496,60293396,60343021,60350992,60472153,60542552,60624528,61403960,61465775,61520089,61672141,61797398,61808912,61912350,61913965,62049865,62280948,62615552,62696808,62890441,63233296,63332436,63388141,63479614,63677545,63684020,63938073,63948265,64049972,64576088,64698095,64869332,64921854,64927250,65026040,65034273,65414372,65446668,65447734,65538330,65685624,65689401,66039840,66081558,66108265,66191115,66258649,66381553,66559881,66626739,66776961,66994609,67024419,67073718,67203601,67318765,67404054,67443961,67527094,67704183,67754509,67894866,68110371,68120143,68202594,68355673,68377321,68426230,68558718,68645240,68854676,68904649,69034340,69079455,69085268,69317353,69535026,69553491,69720313,69755761,69890089,69903001,69907552,70397545,70442496,70493929,70533909,70572875,70592372,70603856,70715053,70721353,70811521,70860441,70872711,71084024,71137458,71717101,71844798,72177961,72394045,72594020,72648099,72731830,72836852,73033455,73154295,73168681,73349089,73394401,73684752,73758930,73896327,74029161,74294820,74296758,74444702,74459838,74615761,75283041,75537188,75701545,75731761,75786452,76413054,76420824,76729453,76737918,77019430,77078840,77225895,77470561,77637714,77658061,77902352,77912700,77942701,77959238,78031248,78091849,78633481,78645996,78676192,78722365,78869254,79181438,79200303,79215121,79247808,79265149,79329918,79353241,79429338,79790975,79793636,79814073,79969527,80029165,80220801,80423841,80782518,81018841,81045913,81083775,81222356,81311569,81468020,81592045,81638228,81770744,81871801,82104998,82110932,82111476,82140790,82241545,82309069,82374288,82801775,82841208,82843473,82895346,82991830,83106880,83299801,83415908,83589049,83795449,84142772,84240561,84295160,84310321,84372275,84439281,84477054,84500468,84687450,84698449,85038049,85166367,85232001,85266721,85688653,85973427,86040815,86117545,86231569,86388790,86489360,86667553,86713695,86867582,86872854,87043993,87112824,87278196,87393254,87515773,87576638,87640146,87785154,87785965,87808250,87830809,88172353,88510716,88768801,88818278,88848241,88946641,89136721,89153784,89517495,89575165,89778392,90039001,90135878,90333280,90352753,90841854,90848365,91067241,91266241,91483465,91499960,91992087,92060473,92111881,92201329,92240655,92374189,92423316,92425850,92494608,92590473,92671074,92835094,93196359,93332989,93346153,93446881,93469688,93495240,93600961,93797588,94140788,94163638,94224999,94286075,94466838,94830790,94832055,95001841,95036241,95381654,95468998,95485328,95650045,95749170,95803988,96034998,96661501,96904628,97175089,97279465,97300530,97314490,97420472,97629321,97761624,97910454,97982353,98001927,98065894,98390032,98423053,98542801,98568948,98689854,98693240,98777545,99024790,99026665,99151165,99331993,99362130,99400045,99521107,99590196,99653521,99728256,99861430,99948695,99966973,...,112406863572837411004623371560027259613603532157109559427026048845842384410056022765053189602563273351728060052658966164590090683629707047090705024327054677829006463452917961718161521972304671420692415220574046623150042574190654452067210993638717434477056068342767143105576128488716387332604179551258019343220043689227881618958995673495648694007353401203971676056818215596628104028334537648973183613929671555524568991381473034979836503667352720041187420040467391995312387133324724308872431190833581018678746112507278327854585090031288157360709935544290911372591191966056532569233186002472652551923947853008630260515917304660298295925796678678500553718878626795618755902163652604117109810157684413050543535378078211770693684543704436015072046997197558499566865122361544716726944530950727576537485127410978588143652147223032749245359889595838760989176895997166064233887040236610023928664345807264046810713786464228839328867227160714811284926783599622365027059162951056592001768230657759946634073483082219316307813660329156427264016708972727563704503519951166759284788167777522694167567360292809172311264490504419236326720779004989536404040383575300231321379374033685377794824874703034069572659316229803956112601801023320490135332458443540956746088982009046435634139453544052962074898344665043441516290707956258074987462495087029564970565831623706476661071814676864536623554382813682462028674862231639662645215572626387187238154505067955160443622985755850243216785310154007514266498790313311767315550318437778588577653195250089008747811109038289599398763752426236527317328018413821864133751413249086580556294552567324305045135401996414422741736965220959919306837475996594177772734951618722503053227071193373271333091041638441920527419603888952328646332840587978894793202576403559812140560336615945161367507871457159707380709705112155991403741999087688035683648769707868596140595408197058052335788931715633496906338659798024511570211523823739951019664669245312767103026640987610366795643027878868915649479882893875856855628904226762084527343401274418276951665187404728607951347367834435398880895402849322519163374886502126906289371860104064614640021411023175360899787434508934828180301105981660413306166794148596684064021283775353483734512603995409784204576927648125831561706573776162600313492915380487223086830981880701945268416349001456336721920533378700952549835811699239049837835463992901370351122532791946059745544684903636327515588054}
15312  1068378456326582773140369255904879690360733241100235041452003606: {76535,91842,198887,336578,351647,626111,656567,703202,808727,856744,963837,1082111,1147425,1161964,1203407,1223920,1252058,1376910,1434722,1468704,1652292,1717487,1894348,2079304,2109047,2260108,2289311,2323624,2339217,2469287,2527682,2614077,2619047,2738711,2888111,3186311,3454007,3544264,3602447,3780311,3898185,3987297,4084588,4157402,4158064,4173897,4223711,4517978,4519624,4677822,4968925,5084577,5237402,5250472,5416898,5549181,5572247,5717807,5737384,5805047,5886265,5906781,5962710,6269111,6360224,6442607,6454557,6586967,6626764,6846311,6847682,6955585,7025882,7063518,7155252,7277111,7391687,7737242,7991111,8239693,8346702,8408950,8417111,8799962,8813087,8896072,9010487,9386745,9432167,9623464,9656327,9852047,9936550,9941421,9991607,10008081,10012528,10090740,10103111,10488254,10492367,10559642,10734818,10763456,10826397,10834504,10935311,11073311,11183567,11264094,11320257,11732927,11770990,11835025,11923860,11924447,12108888,12188817,12297985,12469487,12478658,12713711,12718784,12825698,13010344,13119311,13172162,13622499,13734472,13778877,13863362,13925111,14125188,14192111,14202030,14208098,14308632,14431727,14564567,14612433,14636637,14723711,14757582,14983220,15120311,15146687,15148832,15225767,15451281,15500065,15515111,15964465,16097211,16223145,16325327,16403425,16434842,16455287,16538493,16566865,16605122,16654348,16775258,16815700,16881085,17042436,17284802,17304688,17308007,17333711,17454362,17568550,17910537,17948207,17979864,17999207,18228311,18253727,18600078,18805658,19027144,19142042,19157358,19238711,19464287,19467774,19523721,19589327,19684110,19765585,19813082,19838807,19880238,19888607,19963247,19980482,19997593,20137127,20178840,20225704,20227347,20257302,20360111,20483711,20508407,20973764,20981858,20996384,21000647,21082260,21098711,21318887,21367727,21404600,21405537,21524096,21697249,21733007,21896665,21951311,22018737,22142950,22143578,22168967,22193111,22474202,22487744,22573977,22632364,22698287,22701195,22753917,22830145,23056967,23128487,23242525,23390111,23620932,23666950,23718702,23790938,23839727,24030721,24050344,24080175,24192647,24214608,24222381,24662665,24935522,25032311,25069708,25148111,25298712,25494311,25586402,25632287,25685520,25838711,26109964,26275998,26317847,26571540,26612687,26657927,26908072,26962653,27042458,27044941,27056637,27147628,27220727,27241434,27332687,27396174,27397888,27556007,27560545,27621064,27891030,28066607,28096072,28166882,28199111,28236550,28331327,28342976,28400340,28419311,28445774,28461051,28567990,28666875,28871308,28879127,28896210,28988087,29594567,29595198,29750432,29814945,29962520,30023927,30045311,30236378,30271581,30280007,30293696,30343847,30578000,30683111,30754945,30822624,30873047,30893233,30915167,30996070,31052065,31073697,31230047,31280950,31340642,31472665,31605527,31608081,31802608,31885848,31955788,31958017,32060927,32246111,32348711,32532887,32594018,32875437,32960111,33072654,33142127,33469236,33644327,33659308,33707835,33764111,33883860,33982967,33999148,34042487,34080408,34161311,34281588,34339007,34400250,34456802,34523209,34611098,34675452,34776777,35043311,35108029,35190472,35353007,35380418,35622311,35676861,35721385,35777934,35794607,35840282,35871579,35955024,36023327,36142784,36145382,36364247,36432781,36451418,36646367,36693600,36905934,37038311,37123801,37149647,37195284,37262478,37389887,37500311,37537140,37767198,37918185,37939127,38340459,38427287,38481167,38635630,38785127,38904985,39137425,39139840,39173018,39264945,39386111,39589281,39622082,39648311,39771482,39908711,40012367,40039616,40128375,40150127,40207465,40218818,40253111,40270247,40279057,40356424,40407047,40446064,40449402,40636820,40660632,40667374,40915487,40961498,41267111,41280300,41333687,41400925,41433311,41485873,41582207,41615207,41700578,41759944,41882608,42008711,42038545,42106367,42268487,42349247,42413711,42729242,42803600,42865662,42875618,42893111,42927784,43114367,43224407,43443311,43691567,43729228,43860904,43867837,43896218,43907111,43922447,44032320,44060428,44133190,44186522,44205385,44280100,44331458,44424047,44641185,44649167,44723807,44827967,44960950,45044568,45255311,45342887,45400977,45501822,45618311,45654310,45724072,45743211,45776447,45836097,45962087,46202522,46245047,46343327,46362756,46685982,46689517,46801367,46870007,46883577,46952111,46964910,46965767,46967808,46979937,47033927,47057882,47117934,47611847,47617264,47770487,47771875,47836247,48012364,48071327,48149111,48154050,48162047,48248958,48293757,48331202,48342311,48533711,48735887,48742984,48764184,48798647,48893378,49171007,49173602,49293527,49318870,49343517,49403111,49536360,49572287,49646764,49681110,49716047,49732322,49901224,50011847,50095904,50360207,50446254,50451887,50531687,50623948,50675139,50704538,50902964,51030550,51253967,51256922,51337185,51364320,51394367,51439581,51554687,51607727,51618311,51636260,51681647,51765647,51820797,51869927,52046830,52086311,52177967,52212904,52246828,52349327,52439111,52444281,52478807,52505245,52626527,52627802,52658809,52743407,52764098,52807118,52838784,52893964,52935647,52959828,52974733,52993184,53046462,53077727,53136120,53172122,53438711,53569422,53708111,53728465,53875007,53892407,53953140,53970311,54056111,54082798,54098711,54233687,54258767,54275447,54350111,54481247,54594311,54666167,54721607,54745247,54759664,54760967,54785172,54788608,54791258,54831311,54835857,54859707,54978472,55059098,55091207,55136111,55173311,55247111,55312847,55329134,55349087,55356311,55456607,55463711,55470988,55578550,55707081,55728405,55967207,56108447,56138877,56165111,56233487,56288711,56349311,56357892,56503127,56504077,56555111,56673887,56674545,56678528,56690567,56696111,56772887,56778311,56805311,56817064,56890367,56897785,56937311,56983607,57009047,57157487,57162311,57214847,57233711,57236509,57257111,57326250,57344207,57393311,57437111,57458711,57474921,57497087,57497817,57538967,57541510,57550016,57679247,57706127,57784860,57836642,57866111,57994967,58016807,58052600,58114487,58128527,58161407,58185311,58208567,58233647,58238567,58269767,58281407,58308527,58328111,58359311,58416311,58423367,58443767,58451927,58520087,58545167,58554311,58564607,58575527,58586447,58596647,58604927,58609847,58613111,58614047,58614167,58739517,59136962,59182644,59266202,59327281,59443632,59617332,59778135,60038618,60064585,60253384,60398845,60452848,60609373,60933218,61030281,61060442,61148000,61169108,61236660,61604622,61637184,61691425,61778374,61820762,61832908,61850781,61852072,61946978,61963512,61989117,62198521,62198978,62287737,62324762,62456196,62824894,63006294,63150550,63279073,63317937,63763344,63919197,64089337,64474158,64559937,64585384,64743768,65309175,65319104,66117865,66313585,66515738,66694260,66699310,66868221,66874086,67082824,67100774,67238042,67357922,67443985,67770028,67785057,68009454,68051065,68074178,68164558,68277342,68422525,68542881,68791500,68841668,68903258,69049812,69341832,69583581,69623308,69663120,69708951,69798472,70206862,70211697,70424258,70771802,71140544,71378344,71549401,71733762,71772364,71920922,72077502,72149018,72478614,72486057,72658557,72689068,72718520,72836739,73168322,73350013,73377600,73483992,73758265,74029710,74237878,74307328,74487633,74620058,75226870,75366745,75391682,75438740,75468177,75678190,75780660,76223721,76547272,76754950,76789761,76913762,77261140,77343458,77557442,77561497,77664218,77851185,78009561,78269440,78371010,78523281,78556093,78784072,78965024,79041620,79165545,79230664,79248578,79332364,79341438,79576302,79605025,79665602,79769498,80033112,80039172,80062465,80300637,80492738,80720110,80832704,80932782,81086665,81107042,81208922,81282550,81661278,81767965,81785977,81808335,82107030,82549800,82669491,83041264,83117282,83216282,83386941,83549662,83595744,83787169,84002097,84198362,84443248,85242913,85250764,85541421,85549082,85806550,86068345,86091278,86115681,86292925,86326041,86356585,86562472,86712364,86871578,87262224,87384440,87580832,87585868,87798938,88053120,88108744,88240465,88254820,88439522,88509918,88632081,88746508,88835652,88855030,89035948,89134497,89162877,89162978,89252762,89365892,89431624,89872072,90037251,90272244,90318938,90440094,90526488,90742525,90813828,90936792,91046065,91191578,91411624,92105940,92389082,92473538,92696097,92713368,92737988,92868525,93421422,93558362,93887258,93923328,94045212,94050842,94421485,94457282,94480588,94496948,94733065,94849944,94998654,95179802,95219421,95526030,95655002,95793064,96074958,96280538,96348550,96666818,96743642,96820322,96864132,97303998,97377940,97382781,97390875,97539060,98121558,98170002,98171601,98246336,98307495,98345240,98528436,98705548,99053762,99059760,99062344,99122337,99279784,99484898,99742045,99769442,99981338,...,168610295359256116506935057340040889420405298235664339140539073268763576615084034147579784403844910027592090078988449246885136025444560570636057536490582016743509695179376942577242282958457007131038622830861069934725063861285981678100816490458076151715584102514150714658364192733074580998906269326887029014830065533841822428438493510243473041011030101805957514085227323394942156042501806473459775420894507333286853487072209552469754755501029080061781130060701087992968580699987086463308646786250371528018119168760917491781877635046932236041064903316436367058886787949084798853849779003708978827885921779512945390773875956990447443888695018017750830578317940193428133853245478906175664715236526619575815303067117317656040526815556654022608070495796337749350297683542317075090416796426091364806227691116467882215478220834549123868039834393758141483765343995749096350830560354915035892996518710896070216070679696343258993300840741072216927390175399433547540588744426584888002652345986639919951110224623328974461720490493734640896025063459091345556755279926750138927182251666284041251351040439213758466896735756628854490081168507484304606060575362950346982069061050528066692237312054551104358988974344705934168902701534980735202998687665311435119133473013569653451209180316079443112347516997565162274436061934387112481193742630544347455848747435559714991607722015296804935331574220523693043012293347459493967823358939580780857231757601932740665434478633775364825177965231011271399748185469967650973325477656667882866479792875133513121716663557434399098145628639354790975992027620732796200627119873629870834441828850986457567703102994621634112605447831439878960256213994891266659102427428083754579840606790059906999636562457662880791129405833428492969499260881968342189803864605339718210840504923917742051261807185739561071064557668233987105612998631532053525473154561802894210893112295587078503683397573450245359507989697036767355317285735609926529497003867969150654539961481415550193464541818303373474219824340813785283443356340143126791015101911627415427497781107092911927021051751653098321343104273983778745062329753190359434057790156096921960032116534763041349681151763402242270451658972490619959250191222895026096031925663030225601768905993114676306865391472188747342559860664243900470239373070730834630246472821052917902624523502184505082880800068051428824753717548858574756753195989352055526683799187919089618317027355454491273382081}
15313  1073164342295211750256812317324630737317160130878852042786795252: {15313,122456,137763,504867,749651,1054803,1070930,1285116,1452455,1529900,1742946,1819391,1835880,1878087,1958272,2033171,2065365,2152083,2186327,2203056,2367935,2478438,2583503,2599130,2825135,2841522,2904530,3101231,3118956,3390162,3485436,3638306,3699938,3791523,3954671,4372082,4430330,4567823,4594163,4934471,5020211,5105735,5197580,5207411,5316396,5565196,5649530,5757167,6126882,6153407,6236103,6237096,6563090,6673427,6776967,6779436,7016733,7171730,7217507,7341503,7398908,7730162,7784063,7856103,7875708,7950280,8125347,8133047,8283455,8420531,8606076,8760962,8830106,8944065,8989907,9418024,9480191,9540336,9597911,9742898,9940146,10226711,10271523,10413458,10538823,10595277,10732878,10879667,11120090,11128936,11384051,11512826,11605863,11689847,11941922,12017663,12029330,12424082,12515660,12520053,12613425,13199943,13255228,13267943,13344108,13345106,13454320,13543130,13763618,14435196,14450423,14904825,15018792,15093676,15136110,15141602,15347687,15732381,15839463,15898480,16087202,16102227,16145184,16251756,16262930,16419143,16648751,16819826,16896141,17168090,17220467,17655047,17656485,17697491,17885790,18163332,18216407,18371836,18717987,18729025,18833584,18936040,19005527,19078176,19238547,19371311,19383971,19483244,19515516,19676776,19758243,19782818,19956287,20355506,20436431,20601708,20795043,20817935,21019625,21044051,21133463,21187782,21303045,21312147,21462948,21630860,22051324,22136373,22309703,22453442,22474830,22723248,23544563,23783930,23880716,23973152,24168431,24235703,24454562,24584063,24652263,24800104,24907683,24981522,25050623,25063151,25162887,25223550,25282130,25543144,25549343,25563654,25927203,25957032,26031628,26181543,26217205,26245480,26352825,26506984,26602943,26755750,26905120,26969796,27009736,27144227,27395927,27464282,27786242,27827282,27900117,28109042,28109680,28141511,28154723,28208487,28290455,28540716,28713063,28736037,29155367,29201661,29358316,29526165,29566631,29719623,29737487,29820357,29970723,30062930,30098636,30105911,30268260,30338556,30385953,30791663,30875171,31337135,31460646,31472787,31494576,31593242,31623390,31624936,32075303,32106900,32286144,32296508,32637455,32951042,33214425,33215367,33218711,33635090,33711303,33731616,33772178,33895583,33934535,33948546,34152386,34247360,34526330,34679543,34687106,35026211,35034664,35120090,35186567,35311871,35390306,35428720,35431398,35500425,35578053,35686407,35764322,35950204,35978003,36075516,36089135,36243098,36321912,36528232,36539951,36647282,37188040,37403283,37453150,37561811,37604562,37754882,37867120,37903463,37948068,37968887,38222500,38378291,38379603,38528280,39066287,39107027,39164946,39413997,39460264,39753260,39857310,39926711,39944735,40008563,40362108,40405991,40563687,40721442,40862151,41094261,41096832,41431596,41665106,41836545,41917487,42074135,42144108,42250323,42354825,42393362,42498935,42514464,42600510,42650111,42668661,42721031,42726962,42851985,43306962,43344315,43663571,43708223,43833916,43988090,44096872,44388962,44392797,44480423,44625648,44807411,44943780,45153671,45178480,45354567,45440544,45490607,45686291,45708784,45867000,46216922,46233936,46362338,46369036,46402547,46494105,46657703,46794527,46860707,46921425,47010963,47569148,47703912,47828772,47861651,47914706,47933682,47940032,48106163,48891027,48924800,49138367,49207912,49210127,49593712,49608981,49683304,49698722,49702727,49714931,50010791,50035922,50049520,50203854,50324978,50356264,50445530,50488962,50557580,50796025,50825790,50998722,51120612,51269567,51422382,51600375,51685203,51916647,52013178,52127183,52172762,52199930,52353260,52563407,52577747,52721711,52785708,52896242,52959506,53070627,53504500,53659730,53666901,53690402,53760423,53932536,53950343,54003482,54120563,54202403,54214176,54218073,54281282,54661535,54677127,54679607,54826130,55040400,55075535,55247543,55250306,55350125,55358901,55375367,55792926,55893717,56305710,56389331,56512211,56650797,57141743,57154216,57155090,57824303,57953445,58687226,58697471,58709760,58758503,58759527,59433123,59521580,59546498,59657223,60015455,60034211,60059424,60328227,60467747,60534636,60669096,60674103,60928730,60955230,60990948,61001061,61073663,61114796,61253687,61442247,61744943,61817008,61920450,62058455,62213987,62224706,62247976,62376530,62456051,62511436,62550867,62619880,62623744,62639916,62823912,63279935,63286583,63628705,64093863,64144322,64205400,64298493,64313427,64331944,64391676,64411607,64545325,65018912,65266130,65308535,65593842,65698802,65791356,65844327,66048480,66090642,66112178,66117455,66133082,66199785,66241480,66279783,66420150,66497187,66675047,66978863,67228706,67261672,67441425,67566852,67832687,68252733,68449580,68481465,68485760,68586108,68591783,68723090,68927687,68936063,69071507,69094396,69303783,69326831,69338735,69544134,69925708,70028973,70447365,70451712,70558802,70586823,70613104,70676901,70728616,70821047,70828211,70848160,71021330,71059607,71185151,71425896,71476967,71937520,72018546,72227543,72231075,72373437,72496803,72565750,72661106,73046896,73114476,73118687,73146276,73167986,73340067,73760403,73887842,73967762,73978305,74211143,74276108,74304540,74470146,74521665,74598483,74851836,75021362,75109907,75143856,75274562,75316730,75471458,75566060,75669381,75742163,75935922,76056807,76354446,76435000,76461385,76545825,76633228,76663756,76739591,76885383,77046480,77095151,77291135,77315090,77347322,77454390,77849591,78070245,78252671,78319356,78370242,78426266,78638063,78910192,78941703,79034471,79146147,79175447,79190738,79210677,79258176,79326287,79340946,79439742,79489776,79569693,79704180,79724543,79758183,79985171,80154407,80354133,80731730,80801306,80929710,81124197,81373708,81432767,81648880,82139496,82177758,82182912,82186887,82467708,82588647,82618016,82652156,82993701,83050316,83206482,83274928,83311007,83367825,83686343,83818931,83853530,83856002,84008392,84423916,84464327,84536838,84712535,84731711,85017792,85023587,85225596,85277987,85965544,85989375,86052085,86079916,86312265,86325024,86677290,86679551,86685287,86754963,86869811,87029135,87078900,87248090,87433487,88182263,88488578,88534547,88570562,88680551,88705443,88773966,88899303,88925680,88941722,88953458,89148563,89157628,89165448,89222930,89353811,89425998,89527571,89715455,90057927,90364691,90380076,90437987,90577333,90679272,90861335,90898150,91036456,91390508,91399827,91590663,91722000,91753662,91854990,92066416,92231687,92290367,92406933,92455776,92525411,92551571,92667561,92731143,92749362,92778108,92884160,92920467,92945268,93047027,93142031,93298467,93487143,93495842,93614111,93615596,93684294,93781103,94237341,94246271,94298425,94509441,94626743,94725825,95054546,95181167,95645016,95647823,95684090,95769671,95796722,95923706,96103336,96576425,96638152,96648076,96711237,96757583,96862706,96878076,96880247,97115652,97399487,97836800,97978656,98453351,98480090,98545571,98556563,98706280,98802025,99038330,99092762,99165455,99316844,99773607,99976547,...,224813727145674822009246743120054519227207064314219118854052097691684768820112045530106379205126546703456120105317932329180181367259414094181410048654109355658012926905835923436323043944609342841384830441148093246300085148381308904134421987277434868954112136685534286211152256977432774665208359102516038686440087378455763237917991346991297388014706802407943352113636431193256208056669075297946367227859343111049137982762946069959673007334705440082374840080934783990624774266649448617744862381667162037357492225014556655709170180062576314721419871088581822745182383932113065138466372004945305103847895706017260521031834609320596591851593357357001107437757253591237511804327305208234219620315368826101087070756156423541387369087408872030144093994395116999133730244723089433453889061901455153074970254821957176287304294446065498490719779191677521978353791994332128467774080473220047857328691614528093621427572928457678657734454321429622569853567199244730054118325902113184003536461315519893268146966164438632615627320658312854528033417945455127409007039902333518569576335555045388335134720585618344622528981008838472653441558009979072808080767150600462642758748067370755589649749406068139145318632459607912225203602046640980270664916887081913492177964018092871268278907088105924149796689330086883032581415912516149974924990174059129941131663247412953322143629353729073247108765627364924057349724463279325290431145252774374476309010135910320887245971511700486433570620308015028532997580626623534631100636875557177155306390500178017495622218076579198797527504852473054634656036827643728267502826498173161112589105134648610090270803992828845483473930441919838613674951993188355545469903237445006106454142386746542666182083276883841054839207777904657292665681175957789586405152807119624281120673231890322735015742914319414761419410224311982807483998175376071367297539415737192281190816394116104671577863431266993812677319596049023140423047647479902039329338490625534206053281975220733591286055757737831298959765787751713711257808453524169054686802548836553903330374809457215902694735668870797761790805698645038326749773004253812578743720208129229280042822046350721799574869017869656360602211963320826612333588297193368128042567550706967469025207990819568409153855296251663123413147552325200626985830760974446173661963761403890536832698002912673443841066757401905099671623398478099675670927985802740702245065583892119491089369807272655031176108}
15314  1077971496431521788270981085733291892977868348687203566697023320: {107149,153070,183684,397774,565249,656653,673156,703294,1112593,1252222,1313134,1406404,1476049,1606395,1617454,1713488,1912375,1927674,1928749,2164222,2294850,2323928,2406814,2447840,2504116,2614419,2753820,2869444,2918353,2937408,3304584,3365293,3434974,3632593,3717657,3788696,3898695,4158608,4218094,4253773,4262283,4356795,4520216,4578622,4647248,4678434,4938574,4959373,5055364,5085243,5228154,5238094,5457459,5477422,5485549,5549907,5776222,6372622,6496975,6558123,6645495,6876013,6908014,6956495,7088528,7204894,7220749,7560622,7796370,7974594,8077549,8169176,8240771,8314804,8316128,8347794,8447422,8474295,8503249,8842513,9035956,9039248,9190323,9248635,9264973,9355644,9685633,9737819,9844635,9937850,10169154,10474804,10500944,10757595,10833796,10936813,11019649,11098362,11144494,11435614,11474768,11595243,11610094,11761933,11772530,11813562,11925420,12335233,12538222,12661249,12720448,12742573,12885214,12909114,13067149,13141443,13173934,13245159,13253528,13692622,13695364,13873549,13911170,14051764,14127036,14194093,14310504,14554222,14593153,14614347,14752273,14783374,14910219,15148813,15474484,15543553,15620187,15644575,15858049,15982222,16099317,16479386,16561453,16569035,16680135,16693404,16817900,16834222,17217179,17269239,17336173,17599924,17626174,17792144,17912883,18020974,18043995,18256333,18636123,18773490,18864334,18867095,19241473,19246928,19312654,19704094,19873100,19882842,19983214,20016162,20017659,20025056,20181480,20206222,20314695,20511373,20645427,20976508,20984734,21119284,21469636,21526912,21652794,21669008,21700091,21870622,22146622,22196353,22268749,22350251,22367134,22528188,22640514,22704165,22712403,22964795,23193611,23417293,23465854,23541980,23633519,23670050,23701549,23847720,23848894,24055249,24130803,24217776,24336913,24354055,24377634,24394395,24595970,24938974,24957316,25174993,25229739,25427422,25437568,25651396,25752135,25865473,26020688,26238622,26344324,26480749,26820049,26828685,27038575,27244998,27468944,27557754,27564155,27671819,27726724,27850222,28092973,28159249,28225453,28250376,28384222,28399943,28404060,28416196,28617264,28863454,29079553,29129134,29224866,29273274,29404813,29447422,29515164,29674227,29728273,29850895,29966440,30049933,30240622,30293374,30297664,30369793,30433549,30451534,30533259,30655331,30902562,31000130,31030222,31755793,31781673,31928930,31962203,32194422,32446290,32539535,32558413,32619649,32650654,32806850,32869684,32910574,32985553,33076986,33133730,33210244,33228049,33308696,33550516,33631400,33680163,33712245,33762170,33829249,34084872,34186513,34364173,34527731,34569604,34609376,34616014,34667422,34717549,34908724,35010049,35068333,35137100,35589649,35675895,35821074,35896414,35959728,35998414,36456622,36507454,36671053,36681843,36697895,37200156,37285249,37472283,37506433,37611316,37623295,37835325,37923195,38054288,38284084,38314716,38345481,38477422,38584763,38916049,38928574,38935548,39047442,39178654,39368220,39392653,39531170,39626164,39677614,39707149,39760476,39777214,39926494,39960964,39995186,40019053,40133625,40174033,40274254,40276993,40357680,40370635,40430893,40451408,40454694,40514604,40720222,40967422,41016814,41196423,41491307,41679363,41740923,41934253,41947528,41963716,41992768,42001294,42032173,42163563,42164520,42197422,42275713,42469249,42493627,42637774,42735454,42809200,42811074,42948049,43048192,43056923,43184749,43394498,43466014,43472891,43793330,43873583,43902622,43930093,44037474,44061731,44113549,44285900,44287156,44337934,44341249,44386222,44746573,44937755,44948404,44975488,45094395,45147954,45264728,45277933,45396574,45402390,45452749,45507834,45660290,45669649,46113934,46256974,46351633,46485050,46685713,46780222,46892173,46974253,47190969,47241864,47333900,47389863,47435085,47437404,47540749,47581876,47679454,47739649,47778125,48061442,48100688,48160350,48170893,48325549,48385294,48429216,48444762,48540151,48555373,49028759,49044433,49229293,49302733,49325330,49426563,49593613,49629649,49665613,49691575,49871044,50009939,50064622,50139416,50296222,50369773,50452635,50472913,50541313,50597424,50658267,50812033,50922819,50988622,51172804,51228579,51264574,51339649,51371040,51532753,51628333,51677422,51789495,52030659,52219928,52551996,52635694,52680135,53085459,53143080,53147097,53225374,53293549,53315854,53557867,53567149,53594113,53646483,53674573,53727853,53816144,53925306,53989933,54084916,54089882,54092749,54113274,54295256,54319873,54364647,54441454,54466979,54482868,54613633,54665374,54732973,54792348,54792395,54795776,54803713,54970923,55112014,55121090,55242128,55368013,55475473,55622893,55782060,56005249,56120593,56133214,56179725,56192144,56290451,56307073,56333764,56397613,56398222,56406843,56473100,56538733,56632323,56641549,56662654,56685952,56708653,56790913,56800680,56838622,56891548,56903053,56922102,56980993,57101953,57116749,57135980,57175213,57333750,57410833,57463249,57527149,57589249,57661393,57696493,57742616,57758254,57775873,57792420,57883153,57961295,57976174,58011853,58030573,58145233,58194049,58232749,58432513,58500049,58516753,58536013,58620433,58622593,58625293,58747419,58853963,59189134,59190396,59461435,59500864,59629890,59785965,59925040,60047854,60090622,60472756,60543162,60560014,60587392,60687694,61082163,61156000,61366222,61509890,61645248,61746094,61786466,61830334,61887539,61992140,62104130,62147394,62460094,62497659,62561900,62681284,62945330,63196975,63211054,63216162,63590043,63605216,63771696,63900765,63911576,63916034,64090443,64121854,64492222,64697422,64960443,65065774,65188036,65441575,65646163,65750874,65920222,65982135,66145308,66284254,66583443,66880625,66938472,67288654,67318616,67415670,67528222,67643147,67767720,67965934,67998296,68084974,68160816,68322622,68563176,68678014,68800500,68913604,69046418,69222196,69325383,69350904,69543507,69553554,70086622,70216058,70380944,70706014,70760836,71244622,71353722,71442770,71555868,71589214,71629259,71680564,71743158,71872059,71900523,71910048,72046654,72285568,72290764,72728494,72865562,72902836,73292734,73387200,73507343,73811868,74076622,74247602,74299294,74390568,74401975,74524956,74548083,74779774,74784359,74987119,75000622,75053883,75074280,75219851,75305781,75487467,75534396,75668295,75733443,75836370,75878254,76238685,76393495,76498083,76680918,76854574,76962334,77133573,77271260,77570254,77809970,78019767,78139295,78259143,78274850,78279680,78299895,78346036,78529890,78772222,79178562,79244164,79296622,79344363,79439259,79542964,79656899,79817422,80024734,80079232,80256750,80300254,80414930,80437636,80489595,80506222,80535603,80540494,80558114,80712848,80814094,80892128,80898804,81005223,81273640,81321264,81334748,81421923,81830974,81922996,82239195,82534222,82560600,82667374,82801850,82866622,82875459,82971746,83164414,83230414,83401156,83519888,83689389,83765216,84017422,84077090,84090419,84212734,84458565,84536974,84558383,84698494,84827422,85458484,85561975,85607200,85731324,85732635,85751236,85786222,85855568,86228734,86367995,86448814,86686379,86886622,87383134,87407135,87458456,87721808,87735674,87792436,87814222,87844894,88030839,88064640,88120856,88266380,88373044,88410770,88560200,88662916,88848094,89282370,89298334,89319747,89447614,89655934,89921900,90089136,90510622,90685774,90801954,91003644,91236622,91308620,91393095,91432845,91448144,91486422,91552894,91672194,91924174,92405044,92490094,92565011,92686654,92725512,92839019,92845135,92880675,93337059,93371964,93379034,93564795,93602734,93644483,93740014,93767154,93904222,93929820,93931534,93935616,93959874,94067854,94115764,94235868,94421579,94457575,95223694,95234528,95271491,95540974,95543750,95672494,95791535,95829695,96024728,96142654,96216483,96298222,96308100,96324094,96497916,96587514,96662404,96684622,97067422,97471774,97485968,97528368,97597294,97786756,97899195,98342014,98347204,98390763,98548203,98587054,98637740,98687034,98806222,99072720,99135963,99144574,99168267,99199623,99293528,99362220,99432094,99464644,99630225,99802448,...,337220590718512233013870114680081778840810596471328678281078146537527153230168068295159568807689820055184180157976898493770272050889121141272115072981164033487019390358753885154484565916914014262077245661722139869450127722571963356201632980916152303431168205028301429316728385466149161997812538653774058029660131067683644856876987020486946082022060203611915028170454646789884312085003612946919550841789014666573706974144419104939509511002058160123562260121402175985937161399974172926617293572500743056036238337521834983563755270093864472082129806632872734117773575898169597707699558007417957655771843559025890781547751913980894887777390036035501661156635880386856267706490957812351329430473053239151630606134234635312081053631113308045216140991592675498700595367084634150180833592852182729612455382232935764430956441669098247736079668787516282967530687991498192701661120709830071785993037421792140432141359392686517986601681482144433854780350798867095081177488853169776005304691973279839902220449246657948923440980987469281792050126918182691113510559853500277854364503332568082502702080878427516933793471513257708980162337014968609212121150725900693964138122101056133384474624109102208717977948689411868337805403069961470405997375330622870238266946027139306902418360632158886224695033995130324548872123868774224962387485261088694911697494871119429983215444030593609870663148441047386086024586694918987935646717879161561714463515203865481330868957267550729650355930462022542799496370939935301946650955313335765732959585750267026243433327114868798196291257278709581951984055241465592401254239747259741668883657701972915135406205989243268225210895662879757920512427989782533318204854856167509159681213580119813999273124915325761582258811666856985938998521763936684379607729210679436421681009847835484102523614371479122142129115336467974211225997263064107050946309123605788421786224591174157007366795146900490719015979394073534710634571471219853058994007735938301309079922962831100386929083636606746948439648681627570566886712680286253582030203823254830854995562214185823854042103503306196642686208547967557490124659506380718868115580312193843920064233069526082699362303526804484540903317944981239918500382445790052192063851326060451203537811986229352613730782944377494685119721328487800940478746141461669260492945642105835805249047004369010165761600136102857649507435097717149513506391978704111053367598375838179236634054710908982546764162}
15315  1082800012496998323567157903781876064623382744162401397805271311: {30626,229605,244912,275526,596661,841445,1009734,1054941,1499302,1758005,1878333,1969701,2033437,2109606,2141860,2426181,2570232,2583841,2858669,2891511,2904910,3059800,3130145,3246333,3315109,3442275,3485892,3586805,3610221,3638782,3671760,3756174,3916544,3955189,4066342,4130730,4304166,4372654,4406112,4735870,4956876,5152461,5167006,5198260,5514997,5650270,5683044,5809060,6154213,6202462,6237912,6319205,6327141,6780324,6867933,6883613,6970872,7017651,7148029,7276612,7399876,7407861,7527617,7583046,7842231,7857141,7909342,8077301,8216133,8529781,8664333,8744164,8860660,9135646,9188326,9558933,9868942,10040422,10180421,10211470,10362021,10393505,10395160,10414822,10632792,10727077,10807341,11130392,11294945,11299060,11340933,11514334,11596837,11694555,11896973,11961891,12086113,12253764,12306814,12472206,12474192,12521691,12671133,13093505,13126180,13346854,13542245,13553934,13558872,14033466,14343460,14435014,14683006,14797816,14906775,15253731,15460324,15568126,15712206,15751416,15900560,16250694,16266094,16566910,16647543,16716741,16841062,17119205,17153421,17212152,17415141,17521924,17564705,17658795,17660212,17720343,17888130,17979814,18378989,18807333,18836048,18960382,19080672,19195822,19327821,19343105,19363671,19485796,19760901,19880292,20316253,20351461,20453422,20538933,20543046,20671181,20826916,20864929,20866755,21022375,21077646,21190554,21465756,21528481,21759334,21831333,21864293,21999905,22175061,22240180,22257872,22768102,22840717,23025652,23211726,23379694,23413121,23883844,23973333,24035326,24058660,24719079,24841375,24848164,25031320,25040106,25226850,25251333,25606673,26053397,26220635,26399105,26399886,26439261,26510456,26535886,26688216,26690212,26837045,26908640,27031461,27086260,27527236,27806669,28011757,28160235,28296501,28794293,28870392,28900846,28968981,29145109,29342429,29427475,29556141,29732701,29809650,29824263,29974821,30024243,30037584,30187352,30272220,30283204,30309333,30695374,31196645,31452277,31464762,31477101,31605709,31678926,31796960,32064245,32079541,32174404,32204454,32290368,32479191,32503512,32525860,32736869,32805933,32838286,32930405,33219933,33297502,33550701,33639652,33792282,33960771,34336180,34344769,34440934,34658405,35198781,35309969,35310094,35312970,35394982,35505075,35520245,35579713,35771580,35773341,36326664,36432814,36566451,36704087,36743672,36893955,37408461,37435974,37458050,37647269,37667168,37872080,38011054,38141133,38156352,38372417,38477094,38742622,38767942,38966488,39031032,39353552,39357933,39516486,39565636,39606637,39912574,40711012,40867497,40872862,41087105,41203416,41336631,41394613,41512805,41561333,41590086,41635870,41775333,41938145,42039250,42088102,42266926,42375564,42576333,42606090,42624294,42925896,42956909,43212005,43261720,43295181,43635905,43693701,43837299,43871989,43909911,43921375,44102648,44171133,44272746,44426677,44619406,44872321,44906884,44949660,45159637,45360933,45440061,45446496,45667309,45677301,45680093,45692437,46353843,46500195,46545333,47014145,47089126,47186113,47508349,47567860,47709661,47761432,47855105,47893395,47946304,48291633,48336862,48471406,48669435,48909124,48975981,49052429,49168126,49210275,49304526,49365861,49532705,49600208,49615479,49700595,49721921,49815366,49951205,49963044,50101246,50126302,50325774,50447100,50524789,50564260,50573249,50643255,51086288,51098686,51127308,51610621,51854406,51914064,51924021,52001133,52063256,52363086,52434410,52454645,52490960,52705650,52954213,53013968,53205886,53511500,53731611,53810240,53844621,53939592,53997621,54019472,54288454,54684933,54761181,54791854,54928564,55357375,55358945,55572484,55654564,55800234,55922629,56185505,56218084,56219360,56283022,56309446,56416974,56533153,56580910,57081432,57090869,57426126,57472074,57716133,58054733,58310734,58392861,58403322,58571163,58716632,58767981,58903789,59052330,59133262,59167375,59296755,59439246,59474974,59477345,59498509,59516421,59640714,59665821,59889741,59941446,59992779,60125860,60186977,60197272,60211822,60411381,60536520,60677112,60682041,60771906,61080333,61451133,61525221,61583326,61750342,62069269,62338805,62674270,62831393,62921292,62945574,62989152,63001941,63186484,63246780,63249872,63296133,63864301,63956661,63966005,64103181,64150606,64213800,64216611,64572288,64593016,65091747,65199021,65274910,65406977,65689995,65853933,65902084,66056211,66338693,66428850,66430734,66437422,66506901,66579333,67270180,67422606,67463232,67544356,67606145,67721931,67791166,67869070,67897092,68094861,68103585,68261751,68304772,68490435,68494720,69052660,69170901,69359086,69374212,69385461,69727575,70052422,70069328,70170333,70240180,70240913,70373134,70417205,70591375,70623742,70780612,70857440,70862796,71000850,71114435,71156106,71372814,71419975,71519181,71528644,71571041,71736209,71900408,71956006,72092163,72151032,72178270,72240525,72390721,72486196,72577941,72643824,72667143,73056464,73079902,73294564,73525621,73987995,74302181,74376080,74806566,74906300,75096933,75123622,75209124,75268853,75444333,75509764,75590945,75734240,75806926,75896136,75937774,76244669,76406413,76445000,76482933,76487093,76526149,76756582,76759206,76896861,77056560,77105749,77490175,77516133,77859877,78132574,78202375,78214054,78329892,78351605,78420437,78827994,78920528,78953541,79506520,79714620,79838061,79853422,79889470,79973781,80005013,80017126,80724216,80724901,80811982,80887959,81127374,81134823,81156833,81169911,81442884,81485045,81662181,81724302,81998061,82188522,82193664,82668021,82681635,82746341,82863192,83330212,83673090,83697601,83834974,84021637,84148270,84199821,84288216,84500646,84597333,84709650,84721373,84786724,84993981,84997870,85024529,85028928,85201020,85257933,85300222,85337322,85383153,85442062,85453924,85703970,86000625,86142005,86527745,86613924,86637381,86688630,86881837,86964261,87327142,87416446,87667832,87837889,87976180,88193744,88195949,88451045,88591909,88777924,88783701,88785594,88960846,89080187,89103901,89251296,89343773,89444835,89600705,89614822,89887560,90071781,90135933,90289453,90307342,90354869,90356960,90363455,90709134,90727361,90814743,90840021,90881088,90981214,91031541,91128545,91172717,91291013,91372582,91417568,91431949,91734000,92049333,92264835,92433844,92467872,92564437,92619141,92679699,92724676,92738072,92745501,92805094,92988210,93156195,93198509,93221091,93315406,93589054,93690141,93721414,93842850,94021926,94417995,94816581,94824243,95027669,95138296,95407824,95635637,95657544,95723302,95829412,95867364,95874051,95880064,96182781,96212326,96589075,96738333,97046133,97074229,97428509,97598661,97782054,97849600,97932545,98180653,98276734,98415824,98420254,98592493,98626311,98880333,99055205,99113557,99187424,99217962,99366608,99397444,99405454,99426381,99428705,99429862,...,505830886077768349520805172020122668261215894706993017421617219806290729845252102442739353211534730082776270236965347740655408076333681711908172609471746050230529085538130827731726848875371021393115868492583209804175191583857945034302449471374228455146752307542452143975092578199223742996718807980661087044490196601525467285315480530730419123033090305417872542255681970184826468127505419420379326262683521999860560461216628657409264266503087240185343390182103263978905742099961259389925940358751114584054357506282752475345632905140796708123194709949309101176660363847254396561549337011126936483657765338538836172321627870971342331666085054053252491734953820580284401559736436718526994145709579858727445909201351952968121580446669962067824211487389013248050893050626951225271250389278274094418683073349403646646434662503647371604119503181274424451296031987247289052491681064745107678989556132688210648212039089029776979902522223216650782170526198300642621766233279754664007957037959919759853330673869986923385161471481203922688075190377274036670265839780250416781546754998852123754053121317641275400690207269886563470243505522452913818181726088851040946207183151584200076711936163653313076966923034117802506708104604942205608996062995934305357400419040708960353627540948238329337042550992695486823308185803161337443581227891633042367546242306679144974823166045890414805994722661571079129036880042378481903470076818742342571695272805798221996303435901326094475533895693033814199244556409902952919976432970003648599439378625400539365149990672303197294436885918064372927976082862198388601881359620889612503325486552959372703109308983864902337816343494319636880768641984673799977307282284251263739521820370179720998909687372988642373388217500285478908497782645905026569411593816019154632521514771753226153785421557218683213193673004701961316838995894596160576419463685408682632679336886761235511050192720350736078523969091110302065951857206829779588491011603907451963619884444246650580393625454910120422659473022441355850330069020429380373045305734882246282493343321278735781063155254959294964029312821951336235186989259571078302173370468290765880096349604289124049043455290206726811354976917471859877750573668685078288095776989090676805306717979344028920596174416566242027679581992731701410718119212192503890739418463158753707873570506553515248642400204154286474261152646575724270259587968056166580051397563757268854951082066363473820146243}
15316  1087649984663181601327715709938665250915531485772696912840553093: {45939,214298,260083,306140,367368,413289,443323,717643,795548,808939,1130498,1264339,1313306,1346312,1355203,1406588,1514601,2225186,2248953,2504444,2529883,2626268,2677325,2709523,2812808,2952098,3164409,3212790,3234908,3426976,3514339,3603403,3824750,3855348,3857498,3958939,4328444,4357365,4589700,4647856,4813628,4895680,5008232,5194243,5228838,5369563,5458173,5507640,5634261,5738888,5836706,5874816,6099513,6196095,6241843,6456249,6497825,6558981,6609168,6675283,6730586,6869948,7103805,7261325,7265186,7435314,7450939,7577392,7750509,7797390,8220763,8305939,8317216,8391043,8436188,8475405,8507546,8524566,8713590,8730739,8815483,9040432,9069283,9095765,9157244,9249845,9294496,9303693,9356868,9490843,9658963,9739093,9877148,9910603,9918746,9994339,10110728,10170486,10456308,10476188,10914918,10930205,10954844,10971098,11075825,11099814,11241739,11374569,11552444,11571643,11864013,11982403,12745244,12948089,12993950,13116246,13290990,13365523,13607443,13703469,13752026,13782489,13816028,13912990,14123825,14177056,14409788,14441498,14488939,14803413,15060633,15121244,15317205,15592740,15622233,15755563,15949188,16155098,16338352,16407725,16459939,16481542,16629608,16632256,16695588,16894844,16948590,17006498,17271501,17312923,17685026,17697763,17929325,18004339,18071912,18078496,18309763,18380646,18460221,18462043,18497270,18529946,18708309,18711288,19325405,19371266,19475638,19594963,19689270,19875700,19894339,19969003,20020281,20330901,20338308,20563723,20949608,21001888,21050199,21373939,21447163,21515190,21652521,21667592,21873626,21902405,22024509,22030363,22039298,22075265,22175443,22196724,22288988,22392523,22752883,22871228,22949536,23111443,23190486,23196649,23220188,23352189,23523866,23545060,23568309,23627124,23850840,24357245,24376041,24399141,24670466,24850365,24877243,25076444,25261593,25322498,25440896,25485146,25770428,25818228,26033645,26052283,26134298,26282886,26347868,26393923,26413933,26490318,26507056,26665939,26832195,26969721,27385244,27390728,27608923,27742483,27747098,27800225,27822340,28075123,28103528,28254072,28339939,28388186,28440573,28621008,28782065,28793733,28931563,28996939,29108444,29186306,29228694,29504546,29566748,29582083,29646739,29820438,29854805,30033163,30073325,30289339,30297626,30544363,30680133,30814569,30924739,30948968,30987883,31060205,31087106,31176883,31239739,31240374,31289150,31424789,31616469,31716098,31785831,31964444,32150713,32198634,32639001,32958772,33122906,33138070,33360270,33362765,33386808,33563569,33634963,33635800,33668444,33694939,33857825,34095677,34152153,34409045,34434358,34538478,34672346,34817589,34820803,34937803,35069541,35199848,35229043,35252348,35402923,35460739,35584288,35806123,35825766,36034939,36041948,36052989,36087990,36376003,36512666,36658243,37272246,37546980,37560159,37728668,37734190,37769203,37840275,37854005,38042443,38475883,38482946,38493856,38589817,38625308,38797939,38851363,39408188,39599829,39746200,39765684,39803829,39904723,39966428,40032324,40035318,40050112,40060243,40218005,40362960,40412444,40420603,40573963,40624939,40629390,40657325,40929283,41022746,41290854,41579803,41629339,41678803,41791253,41953016,41969468,42049565,42238568,42315283,42499193,42652963,42920225,42939272,43053824,43129243,43305588,43338016,43351269,43400182,43505083,43737643,43741244,44014339,44293244,44392706,44537498,44649883,44694739,44700502,44714475,44734268,44873443,45056376,45281028,45408330,45424806,45555349,45792739,45929590,46043061,46261603,46387222,46387963,46834586,46886923,46931708,47083960,47091763,47197143,47267038,47294803,47340100,47403098,47518389,47615923,47695440,47697788,48110498,48261606,48306681,48398563,48435552,48436939,48546509,48673826,48708110,48755268,48779083,48788790,49035181,49189339,49191940,49257429,49457045,49590883,49877948,49912939,49914632,49946253,50219741,50349986,50402323,50459478,50573683,50688423,50854844,50875136,50888765,50977603,51302792,51377053,51435739,51504270,51595939,51661401,51730946,52041376,52339843,52369939,52477244,52672613,52688648,52783723,52961498,52965141,52969455,52985323,53092473,53127163,53487523,53514739,53640098,53657370,53888203,53914339,54077150,54250757,54297739,54489996,54568603,54649221,54783739,54937888,55115508,55128310,55129339,55343638,55350739,55372483,55453448,55480123,55543843,55564939,55690003,55700444,56133605,56153961,56183203,56185946,56187075,56257939,56318498,56349739,56450906,56500752,56518889,56682163,56765323,56768444,56799886,56808120,56832392,56846683,56941939,57016581,57183283,57234528,57251513,57365633,57445939,57459043,57634939,57706003,57715641,57726908,57763243,57872323,57913939,58022443,58113933,58139443,58151913,58159106,58236643,58258268,58266739,58309723,58428739,58449732,58460923,58476043,58521763,58546548,58594339,58615723,58619683,58626739,58635163,58640203,58644739,58809626,58894844,59030328,59274729,59348454,59456546,59459825,59701790,59868861,59932880,60099866,60481244,60586748,60595328,60739586,60867098,60903068,61066518,61136405,61309293,61310662,61805124,62000260,62060444,62385129,62453805,62912857,63058875,63132153,63205325,63295661,63400389,63511586,63563346,63857860,63909135,63924406,63936441,64388844,64892580,65079070,65116826,65239298,65301308,65613700,65739368,65821148,65971106,66153972,66267460,66409119,66420488,66456098,66617392,66889375,66929109,67101032,67262800,67360326,67424490,67524340,67658498,68169744,68373026,68660705,68728346,69055462,69139208,69218752,69232028,69334844,69435098,69465605,69568205,69817448,70020098,70136666,70272605,70274200,70633689,71179298,71351790,71642148,71792828,71919456,71996828,72505293,72707109,72913244,73014908,73342106,73363686,73369241,73395790,73752189,73956789,74400312,74570498,74723049,74944566,75012866,75151869,75157325,75189453,75222632,75246590,75488661,75670650,75846390,76108576,76568168,76629432,76648029,76690962,76709353,76954844,77169526,77581829,77781609,77832098,77857148,77871096,78094884,78357308,78544629,78651615,78736440,78785306,78983105,79058475,79062340,79252328,79355228,79414298,79520952,79554428,79808829,79852988,79921928,79941901,79990372,80038106,80267250,80348066,80548508,80553986,80715360,80741270,80861786,80902816,80909388,81029208,81145813,81432681,81440444,81934844,82033628,82187781,82377605,82392846,82749557,82982614,83246009,83358726,83481846,83700351,83809133,83868506,83895056,83927432,83985536,84002588,84064346,84087725,84327126,84329040,84394844,84424533,84430445,84464169,84551426,84625461,84871365,84938498,84987254,85275548,85380965,85470908,85618400,85622148,85896098,86096384,86113846,86139189,86208111,86315825,86369498,86717765,86788996,86932028,86945782,87466101,87586660,87604983,87747166,87800225,87805244,87860186,88074948,88123462,88227098,88475765,88571800,88574312,88578495,88675868,88682498,88699893,88772444,88792121,89158869,89212461,89410805,89461071,89493146,89875510,89896808,89912169,89950976,90188790,90295908,90317733,90529456,90555866,90607745,90793148,90804780,90905498,91015668,91157859,91320580,91339298,91618205,92227868,92374989,92513948,92625513,92703266,92970100,93371426,93560444,93632875,93784346,93948506,94011405,94381938,94387205,94418361,94483728,94667800,94779726,94870170,94874808,95081498,95163752,95358908,95479298,95556250,96122884,96201376,96225909,96320700,96341786,96651098,96770588,96858432,96889524,97080302,97110746,97740533,97912365,98057518,98088866,98458586,98605466,98650660,98853126,99187226,99259298,99331226,99383150,99643275,99646101,99656133,99742088,...,674441181437024466027740229360163557681621192942657356562156293075054306460336136590319137615379640110368360315953796987540544101778242282544230145962328066974038780717507770308969131833828028524154491323444279738900255445143926712403265961832304606862336410056602858633456770932298323995625077307548116059320262135367289713753974040973892164044120407223830056340909293579768624170007225893839101683578029333147413948288838209879019022004116320247124520242804351971874322799948345853234587145001486112072476675043669967127510540187728944164259613265745468235547151796339195415399116014835915311543687118051781563095503827961789775554780072071003322313271760773712535412981915624702658860946106478303261212268469270624162107262226616090432281983185350997401190734169268300361667185704365459224910764465871528861912883338196495472159337575032565935061375982996385403322241419660143571986074843584280864282718785373035973203362964288867709560701597734190162354977706339552010609383946559679804440898493315897846881961974938563584100253836365382227021119707000555708729006665136165005404161756855033867586943026515417960324674029937218424242301451801387928276244202112266768949248218204417435955897378823736675610806139922940811994750661245740476533892054278613804836721264317772449390067990260649097744247737548449924774970522177389823394989742238859966430888061187219741326296882094772172049173389837975871293435758323123428927030407730962661737914535101459300711860924045085598992741879870603893301910626671531465919171500534052486866654229737596392582514557419163903968110482931184802508479494519483337767315403945830270812411978486536450421791325759515841024855979565066636409709712335018319362427160239627998546249830651523164517623333713971877997043527873368759215458421358872843362019695670968205047228742958244284258230672935948422451994526128214101892618247211576843572449182348314014733590293800981438031958788147069421269142942439706117988015471876602618159845925662200773858167273213493896879297363255141133773425360572507164060407646509661709991124428371647708084207006612393285372417095935114980249319012761437736231160624387687840128466139052165398724607053608969081806635889962479837000764891580104384127702652120902407075623972458705227461565888754989370239442656975601880957492282923338520985891284211671610498094008738020331523200272205715299014870195434299027012783957408222106735196751676358473268109421817965093528324}
15317  1092521507513445687635724099616484373939026782095381953925647086: {61252,321447,382675,459210,489824,551052,994435,1178023,1193322,1682890,1695747,1758235,1969959,2019468,2109882,2461207,2859043,2998604,3130555,3194983,3282835,3337779,3378427,3516010,3756666,3939402,4043635,4066874,4219212,4283720,4382203,4428147,4819185,4852362,4873363,5021527,5140464,5167682,5410555,5717338,5737125,5783022,5786247,5809820,5973307,6017035,6119600,6214483,6260290,6492666,6630218,6884550,6971784,7173610,7219399,7220442,7277564,7343520,7512348,7528603,7833088,7843257,7888903,7910378,8046763,8078359,8132684,8135179,8261460,8413219,8587435,8608332,8745308,8755059,8812224,8846887,9471740,9600427,9913752,10095879,10304922,10334012,10396520,10545235,10635523,10882519,10897779,11029994,11152971,11300540,11366088,11446555,11618120,11696085,12232099,12308426,12346435,12404924,12475824,12638410,12654282,12761319,12786849,12832819,13070385,13095235,13232263,13560648,13693555,13735866,13767226,13941744,14035302,14060059,14296058,14440555,14550907,14553224,14799752,14815722,14878119,14897443,15055234,15166092,15255729,15286723,15684462,15714282,15812923,15818684,15931555,16154602,16372377,16432266,16456647,16649721,17059562,17270035,17328666,17350387,17488328,17721320,17889223,18012235,18271292,18330907,18376652,18578779,18884899,18896707,18901555,18959143,19117866,19490925,19674369,19737884,19936485,20080844,20360842,20422940,20541223,20628039,20724042,20773483,20787010,20790320,20829644,20869485,21118555,21265584,21371899,21454154,21471187,21614682,21662247,22260784,22589890,22598120,22681866,23028668,23193674,23389110,23464807,23793946,23923782,23966887,24172226,24232647,24507528,24590587,24613628,24722313,24844625,24944412,24948384,25027819,25043382,25342266,25422885,25509747,25839619,26096683,26162323,26187010,26252360,26490187,26527539,26693708,26855779,26936563,27080347,27084490,27107868,27117744,27570969,27636067,27745905,27794919,27810343,27850183,27861235,28066932,28589035,28686920,28870028,29025235,29056899,29174227,29213457,29366012,29431325,29533905,29595632,29813550,29860147,30507462,30773767,30799867,30920648,31136252,31331803,31345555,31424412,31502832,31801120,32213035,32272785,32501388,32532188,32758507,32810439,32862427,32934835,33058947,33069223,33133820,33295086,33433482,33682124,34029619,34231555,34238410,34306842,34424304,34777925,34785729,34830282,35043848,35129410,35285799,35293339,35317590,35320424,35440686,35776260,35825443,35959628,36385555,36708889,36757978,36809923,36958435,36958747,36998599,37005699,37375207,37571863,37614666,37672096,37905547,37920764,37978963,37983747,38161344,38227719,38391644,38632099,38655642,38686210,38689027,38727342,38887483,38971592,39201447,39228619,39424329,39464083,39521802,39735477,39760584,39955555,40632506,40702922,40906844,41077866,41086092,41198465,41342362,41620647,41653832,41729858,41733510,41944627,42044750,42085555,42155292,42381108,42582279,42886819,42931512,43056962,43518668,43662666,43675303,43728586,43779459,43843041,43999810,44065435,44256819,44350122,44480360,44482723,44492227,44515744,44730657,44889943,45052435,45446439,45536204,45681434,46013203,46051304,46102567,46423452,46630659,46759388,46826242,46860561,46933725,47160835,47574147,47767688,47946666,48010663,48070652,48117320,48281635,48297951,48386899,48521767,49117939,49260235,49438158,49566067,49682750,49684359,49696328,49707105,49728343,49958035,50040405,50062640,50080212,50453700,50502666,50515555,50719063,51086683,51213346,51651537,51701779,51807717,52008519,52106794,52441270,52461835,52798210,52799772,52878522,52907719,53020912,53071772,53151019,53376432,53380424,53674090,53738649,53817280,54062922,54131985,54172520,54659707,54676555,54768999,54823303,55054472,55366555,55417363,55490083,55613338,55837963,55908369,55917835,56023514,56320470,56523043,56593002,56601285,56726119,57156907,57171259,57419923,57521947,57588586,57724419,57740784,57801692,57937962,58117927,58166707,58290218,58664635,58684858,58713403,58854950,59025703,59112282,59175125,59244487,59465402,59619300,59622235,59648526,59949642,60048486,60052977,60069907,60075168,60166459,60308743,60374704,60496807,60544440,60566408,60618666,60944085,61065619,61090267,61192843,61390748,61489925,61534119,61936281,62347435,62393290,62870599,62904554,62929524,62954202,63211418,63357852,63568555,63593920,63618343,64075579,64128490,64159082,64337803,64348808,64408908,64580736,64958382,65007024,65051720,65100273,65415619,65473738,65596555,65611866,65676572,65819803,65860810,65896339,66284923,66439866,66589059,66595004,66806247,66997147,67021603,67033339,67050753,67101402,67279304,67471027,67584564,67921542,68112495,68137209,68610139,68614183,68672360,68689538,68736763,68881868,68891443,68894385,69173707,69316810,69345787,69580833,69625555,69917803,69931687,70251879,70397562,70619938,70620188,70625940,70789964,70900557,70960555,71010150,71040490,71104647,71159426,71543160,71546682,71792743,72158635,72165747,72246787,72392409,72653328,72822835,72865628,73010739,73062165,73132902,73183185,73197799,73231003,73408174,73427203,73436503,73487344,73618555,73667299,73787910,74816922,74871948,74916100,75294538,75334336,75524979,75595399,75601555,75689217,75733435,75744160,76022108,76128835,76282266,76312704,76744834,76820899,76954188,77256405,77485244,77500325,77502523,77535884,77575555,77596419,77669803,77932976,78062064,78123463,78641659,78659707,78707104,78715866,78880843,79032972,79131272,79213274,79296643,79442247,79822325,79825148,80175763,80460147,80486055,80711899,80743387,81115725,81422024,81626635,81734994,81745724,82017125,82174210,82276435,82406832,82673262,82692465,82763899,82789226,82834325,82848403,83015457,83025610,83122666,83180172,83268283,83271740,83417203,83438779,83550666,83828743,83876290,84078500,84176204,84230563,84278919,84405425,84477747,84533852,84676359,84751128,85035763,85046599,85152666,85199829,85212180,85248588,85851792,85913818,86214883,86265763,86424010,86523440,86540035,86590362,86668555,86766403,87238659,87271810,87274327,87387402,87674598,87743978,87819822,87842750,88205296,88214439,88342266,88545492,88704283,88804903,88853354,88954099,89022681,89172067,89184819,89238812,89552407,89552685,89696947,89741035,89744642,89813768,89899320,89996035,90149799,90319274,90405043,90721866,90880122,90892992,90922519,91109379,91141555,91268635,91300647,91334618,91354602,91360186,91384874,91599777,91860499,91965993,92238883,92256163,92707686,93000390,93090666,93210823,94028290,94178252,94372226,94551379,94648603,95016698,95135720,95267379,95345019,95419322,95522864,95673307,95710210,95786790,95886609,95892608,95972899,96193555,96583266,96673724,96699907,96942812,97029019,97321435,97338870,97423219,97618605,97675239,97818248,97858947,97946635,97951962,98104858,98145223,98336252,98420550,98571943,98584087,98609052,98731722,98827925,98850823,98877523,98956659,99065410,99146563,99194035,99200416,99230958,99401190,99443035,99443842,99560209,99630732,99684147,99816235,99902410,99926088,99987965,...,1011661772155536699041610344040245336522431789413986034843234439612581459690504204885478706423069460165552540473930695481310816152667363423816345218943492100461058171076261655463453697750742042786231736985166419608350383167715890068604898942748456910293504615084904287950185156398447485993437615961322174088980393203050934570630961061460838246066180610835745084511363940369652936255010838840758652525367043999721120922433257314818528533006174480370686780364206527957811484199922518779851880717502229168108715012565504950691265810281593416246389419898618202353320727694508793123098674022253872967315530677077672344643255741942684663332170108106504983469907641160568803119472873437053988291419159717454891818402703905936243160893339924135648422974778026496101786101253902450542500778556548188837366146698807293292869325007294743208239006362548848902592063974494578104983362129490215357979112265376421296424078178059553959805044446433301564341052396601285243532466559509328015914075919839519706661347739973846770322942962407845376150380754548073340531679560500833563093509997704247508106242635282550801380414539773126940487011044905827636363452177702081892414366303168400153423872327306626153933846068235605013416209209884411217992125991868610714800838081417920707255081896476658674085101985390973646616371606322674887162455783266084735092484613358289949646332091780829611989445323142158258073760084756963806940153637484685143390545611596443992606871802652188951067791386067628398489112819805905839952865940007297198878757250801078730299981344606394588873771836128745855952165724396777203762719241779225006650973105918745406218617967729804675632686988639273761537283969347599954614564568502527479043640740359441997819374745977284746776435000570957816995565291810053138823187632038309265043029543506452307570843114437366426387346009403922633677991789192321152838927370817365265358673773522471022100385440701472157047938182220604131903714413659559176982023207814903927239768888493301160787250909820240845318946044882711700660138040858760746090611469764492564986686642557471562126310509918589928058625643902672470373978519142156604346740936581531760192699208578248098086910580413453622709953834943719755501147337370156576191553978181353610613435958688057841192348833132484055359163985463402821436238424385007781478836926317507415747141013107030497284800408308572948522305293151448540519175936112333160102795127514537709902164132726947640292486}
15318  1097414676044785138110945015016369972956975681618614515811369507: {76565,91878,168377,290681,428596,443381,473897,520166,612280,626357,688815,717737,734736,826578,886646,900281,1435286,1536917,1591096,1617878,1789983,1989497,2260996,2380277,2524335,2528678,2626612,2692624,2709881,2710406,2739797,2813176,2978837,3029202,3164823,3187577,3425657,3633557,3748255,3870677,4450372,4497906,5008888,5059766,5224181,5252536,5274015,5354650,5419046,5487017,5625616,5634999,5661881,5807381,5904196,5909103,6100311,6271637,6328818,6416297,6425580,6469816,6531881,6676181,6853952,6935417,7028678,7206806,7222697,7262275,7278543,7280057,7649500,7709237,7710696,7714996,7751523,7917878,8079737,8420537,8505557,8576007,8647097,8656888,8674533,8714730,8844917,9096955,9098681,9179400,9295712,9390435,9627256,9688277,9738999,9791360,9945327,10016464,10107257,10165855,10326825,10388486,10457676,10607657,10739126,10760415,10830663,10916346,10931635,11015280,11022677,11077877,11188181,11268522,11477776,11673412,11749632,11839675,11865567,12011381,12147881,12199026,12392190,12393077,12483686,12718997,12734071,12800297,12912498,12917515,12949783,12995650,13070777,13117962,13124777,13218336,13350566,13367381,13461172,13739896,13930937,14011157,14125675,14198057,14207610,14278037,14522650,14530372,14870628,14901878,15154784,15232181,15302287,15457383,15501018,15506155,15594780,15600437,16441526,16544991,16611878,16634432,16782086,16872376,16950810,17015092,17049132,17341097,17418197,17427180,17461478,17630966,18080864,18083381,18138566,18191530,18312377,18314488,18462639,18464681,18490037,18499690,18588992,18607386,18713736,18957615,18981423,18981686,19317926,19478186,19754296,19773355,19821206,19837492,19971881,19988678,20220281,20221456,20340972,20566697,20591381,20603799,20650839,20862377,20912616,20952376,21052953,21444087,21450281,21547817,21829836,21860410,21909688,21912437,21942196,22033577,22057781,22151650,22199628,22202837,22223583,22275257,22395797,22483478,22582851,22749138,22780181,22839115,22970815,23104888,23138681,23143286,23400437,23526693,23571423,23637557,23728026,23964806,24231903,24648399,24672355,24694697,25043477,25101055,25113017,25228757,25490488,25505717,25528675,25574777,25589343,25896178,25987900,25992999,26037055,26079017,26232492,26397881,26488697,26581980,26731046,26940857,27055567,27214886,27406938,27412181,27504052,27564978,27632056,27635381,27746681,27825980,28101497,28211957,28247650,28354112,28676799,28785835,28819576,28882996,28977878,29606826,29608181,29737397,30037781,30059177,30121266,30242488,30357881,30485417,30541263,30634410,30663367,30760757,30767035,30905371,30992681,31086063,31118777,31180515,31185480,31244466,31511126,31807157,31898376,32181231,32310196,32422023,32676704,32815450,32853881,32919878,32963084,33259216,33264512,33278837,33367135,33391176,33540137,33660281,33780137,33789688,33839957,33884835,33897180,34012996,34022799,34058681,34100143,34137977,34355381,34473557,34543002,34552181,34625846,34790511,34826357,34962857,35060117,35083665,35121823,35370052,35395526,35639477,35690919,35858650,35885673,35983637,36008678,36087535,36097781,36143824,36156992,36173717,36258339,36268457,36381881,36447103,36619526,36682937,36707515,36761292,36920442,36924086,36994540,37059892,37138387,37297397,37334357,37408181,37416618,37422576,37565073,37573817,37683881,38013399,38066837,38500181,38650810,38742532,38857781,38920315,38928917,38951276,38964437,39189926,39280515,39378540,39720377,39751400,39788678,39928697,39938006,40040562,40066937,40170281,40294891,40444457,40626735,40661802,40665235,40676616,41127446,41288057,41417275,41454377,41504117,41603381,41685881,41702357,41796727,41899216,42003776,42100398,42102655,42322517,42483797,42747878,42894326,42962837,42994517,43030380,43293881,43305042,43335184,43484287,43512617,43528181,43747252,43804810,43930037,44049018,44060726,44078596,44128937,44150530,44159417,44350886,44386997,44393448,44577976,44582777,44672681,44720325,44785046,44949535,45029417,45191381,45279317,45323177,45410681,45505766,45685877,45742456,45761193,45843881,45899072,46222886,46380972,46393298,46396277,46410281,46440376,46702517,46704378,46707871,46909097,47047732,47090120,47100281,47113877,47136618,47181737,47254248,47400955,47637881,47701680,47989555,48097781,48172663,48369017,48407477,48560597,48714490,48752082,48798282,48800681,48975737,49340932,49612217,49700730,49754486,49779881,49851257,49942629,50028437,50075381,50150223,50152888,50203817,50226319,50250281,50411897,50423381,50523186,50583317,50644996,50662697,50831477,50881792,50970292,50987381,51133555,51152681,51357615,51460263,51520697,51540856,51636456,51858617,51900281,52067290,52104566,52147577,52245423,52268596,52450217,52509881,52565772,52694115,52695736,52745657,52787846,52827866,52976385,52980636,52995607,52995881,53005397,53014112,53137781,53161029,53331878,53333417,53498297,53633717,53664390,53696297,53907881,53939442,54003317,54029177,54114857,54131897,54257863,54292181,54398335,54579881,54587957,54652277,54700181,54770488,54779381,54781456,54888917,55125881,55136967,55217846,55230377,55282037,55304057,55347881,55391417,55413077,55484966,55491881,55494196,55498997,55555637,55600450,55644680,55660457,55844597,55931177,56029397,56150246,56163881,56201657,56207056,56305207,56325497,56421999,56508144,56679878,56728181,56750357,56776372,56843177,56859317,56881146,56920255,56991017,57047381,57201017,57242016,57244181,57272597,57373147,57476537,57489557,57498197,57536681,57564130,57578681,57587466,57615797,57719381,57723257,57757781,57776681,57810197,57863126,57885881,57889397,57906857,57983463,57993878,58017077,58029315,58039337,58082681,58091013,58156181,58216888,58227317,58260857,58357781,58372612,58377257,58402217,58449235,58455977,58457388,58475381,58482197,58536377,58537781,58576181,58598777,58601717,58617017,58627157,58631381,58643381,58650281,58650677,58653557,58655657,58660181,58869391,59009092,59133496,59164166,59282703,59293478,59350603,59640876,59709610,60066326,60088315,60146650,60578678,60595252,60633199,60948759,61054383,61088726,61360266,61616799,61629138,61849478,61897936,61975766,62013543,62120410,62174212,62353766,62479478,62480748,62578300,62594787,62600265,62849578,63067125,63232938,63432196,63571662,63928888,64114531,64301426,64397268,64585443,65278002,65493999,65592879,65917544,65999715,66245812,66276140,66339715,66525183,66720540,66725530,66773616,67127138,67269926,67271600,67336888,67389878,67660879,67715650,68191354,68304306,68314543,68522151,68818090,68868716,69076956,69239863,69344692,69635178,69641606,69875606,70139082,70239363,70399696,70458086,70504696,70805846,70921478,71168576,71244271,71612246,71651532,71919999,72069878,72083896,72105978,72175980,72252115,72752006,73025332,73316486,74157237,74524125,74544492,74803963,75093960,75120318,75457336,75468380,75538406,75680550,75708010,75753999,76084886,76738435,76820019,76951766,76965892,76987712,77179634,77250616,77595878,77702726,78160191,78587047,78661905,78816376,79197315,79199658,79317783,79492400,79531368,79607658,79809446,79932856,80064648,80070636,80100224,80120486,80436010,80511135,80725920,80824888,80841206,81094383,81147926,81249878,81258780,81314650,81858566,82045492,82095715,82581708,83159606,83243755,83258678,83357606,83420007,83582506,83906032,83938936,84035271,84099130,84477136,84480705,84630566,84889503,84998386,85305926,85590967,85840450,85878544,86102335,86107648,86258486,86382879,86611176,86676032,86702538,86709103,86800364,86906943,87010166,87435327,87475286,87482488,88027287,88028678,88275235,88282425,88456423,88487455,88586488,88668423,88785412,89074996,89198103,89299766,89389478,89401004,89428950,89468536,89472789,89746886,89924463,90072729,90112752,90562056,90816660,90849612,90927999,91082035,91110698,91585478,91859180,92086122,92484799,92523206,92774444,92775926,93589935,93645125,93669031,93669172,93773846,93863416,94167920,94183526,94356831,94394286,94431303,94534076,94589606,94680200,94806196,94817127,95027635,95036778,95231846,95390880,95395576,96124987,96192735,96220996,96238623,96523212,96613362,96797126,96856555,96871104,96873878,96919855,97093018,97251847,97347652,97395487,97416220,97437573,97510536,97558166,97577580,97794931,98070362,98210607,98378678,98381647,98383880,98417799,98514858,98791215,98914090,99181766,99659799,99755896,99781435,99825878,99829264,99892506,...,1517492658233305048562415516060368004783647684120979052264851659418872189535756307328218059634604190248328810710896043221966224229001045135724517828415238150691587256614392483195180546626113064179347605477749629412525574751573835102907348414122685365440256922627356431925277734597671228990156423941983261133470589804576401855946441592191257369099270916253617626767045910554479404382516258261137978788050565999581681383649885972227792799509261720556030170546309791936717226299883778169777821076253343752163072518848257426036898715422390124369584129847927303529981091541763189684648011033380809450973296015616508516964883612914026994998255162159757475204861461740853204679209310155580982437128739576182337727604055858904364741340009886203472634462167039744152679151880853675813751167834822283256049220048210939939303987510942114812358509543823273353888095961741867157475043194235323036968668398064631944636117267089330939707566669649952346511578594901927865298699839263992023871113879759279559992021609960770155484414443611768064225571131822110010797519340751250344640264996556371262159363952923826202070621809659690410730516567358741454545178266553122838621549454752600230135808490959939230900769102353407520124313814826616826988188987802916072201257122126881060882622844714988011127652978086460469924557409484012330743683674899127102638726920037434924469498137671244417984167984713237387110640127135445710410230456227027715085818417394665988910307703978283426601687079101442597733669229708858759929298910010945798318135876201618095449972016909591883310657754193118783928248586595165805644078862668837509976459658878118109327926951594707013449030482958910642305925954021399931921846852753791218565461110539162996729062118965927120164652500856436725493347937715079708234781448057463897564544315259678461356264671656049639581019014105883950516987683788481729258391056226047898038010660283706533150578161052208235571907273330906197855571620489338765473034811722355890859653332739951741180876364730361267978419067324067550990207061288141119135917204646738847480029963836207343189465764877884892087938465854008705560967778713234906520111404872297640289048812867372147130365870620180434064930752415579633251721006055234864287330967272030415920153938032086761788523249698726083038745978195104232154357636577511672218255389476261123620711519660545745927200612462859422783457939727172810778763904168499740154192691271806564853246199090421460438729}
15319  1102329585669609355767993580563356448103175872611533060471204780: {15319,122504,137817,535745,642894,765350,780249,918420,979648,1102104,1239867,1329969,1392209,1988870,2152929,2356046,2386644,2426817,2461529,2826245,3195401,3283265,3365780,3378869,3391494,3516470,3775889,3793017,3939918,4038936,4065609,4219764,4382777,4543803,4595969,4922414,5209457,5562965,5661089,5718086,5759429,5997208,6215297,6261110,6389966,6565670,6675558,6676049,6746859,6756854,7032020,7344389,7380245,7513332,7574777,7589649,7878804,8031975,8047817,8087270,8128569,8133748,8414321,8423849,8438424,8532017,8567440,8764406,8856294,8993441,9323249,9493227,9561875,9638370,9643745,9704724,9746726,10043054,10280928,10335364,10543017,10729889,10810209,10821110,11154329,11232617,11434676,11474250,11566044,11572494,11619640,11876817,11886761,11946614,12022409,12034070,12239200,12428966,12520580,12985332,12985409,13072095,13260436,13717841,13769100,13943568,14347220,14438798,14440884,14456117,14555128,14591765,14687040,14763329,15024696,15057206,15582729,15638129,15666176,15686514,15777806,15804917,15820756,16025177,16093526,16108689,16156718,16265368,16270358,16374519,16522920,16826438,16826465,16902783,17085161,17174870,17216664,17285009,17490616,17510118,17606069,17624448,17693774,18162965,18223601,18298539,18333329,18588285,18725529,18943480,19170977,19200854,19368747,19391609,19493475,19676943,19827504,20025849,20191758,20216777,20609844,20668024,20793040,21090470,21119849,21141809,21268865,21271046,21311415,21765038,21783975,21795558,22059988,22206137,22304177,22305942,22318517,22352817,22601080,22732176,22893110,23120597,23236240,23251527,23392170,23997209,24178049,24464198,24616852,24662289,24692870,24796865,24809848,24917817,24951648,25173129,25217129,25276820,25308564,25426215,25522638,25573698,25665638,26140770,26190470,26192217,26446449,26462177,26464526,26613449,27121296,27207849,27287295,27387110,27427745,27471732,27534452,27649289,27749535,27883488,27911079,28070604,28120118,28152629,28165817,28472529,28592116,28794257,28881110,28976889,29101814,29106448,29166881,29217279,29565977,29599504,29631444,29731809,29756238,29794886,29983017,30110468,30332184,30511458,30573446,30887369,30919109,31368924,31428564,31625846,31637368,31863110,32214389,32309204,32484875,32606489,32744754,32790615,32864532,32866769,32913294,33227475,33299442,33492617,33725217,33908969,34119124,34123707,34380065,34540070,34657332,34700774,34714929,34782475,34976656,35442640,35592039,35778446,35947209,35992217,36024470,36103745,36542584,36612449,36661814,36753304,37157558,37769798,37793414,37803110,37918286,38057717,38073809,38235732,38605529,38844267,38981850,39005729,39081809,39348738,39475768,39872970,40024649,40040201,40096569,40161688,40387745,40635329,40721684,40822329,40845880,41082446,41110407,41203855,41256078,41347467,41448084,41546966,41574020,41580640,41659288,41738970,41934041,41950169,42237110,42371475,42516245,42531168,42737909,42743798,42908308,42942374,43229364,43324494,43462481,43466817,43725617,43883777,44212565,44410239,44521568,44884229,45098249,45179780,45181899,45196240,45363569,45363732,45656117,45799457,45951615,46057336,46108769,46243175,46324865,46387348,46527317,46676129,46778220,46866699,46879289,46929614,47266689,47550497,47587892,47847564,47924177,47933774,48344452,48428165,48465294,48689095,49015056,49181174,49223175,49227256,49229561,49379817,49444626,49689250,49888824,49896768,50030549,50055638,50086764,50684532,50845770,50939777,51019494,51426521,51679238,51741809,51814503,51938769,52147769,52193366,52324646,52374020,52504720,52980374,53055078,53093289,53387416,53711558,53787975,53873126,53971649,54013017,54131417,54160694,54168980,54215736,54223817,54235488,54666929,54684065,54701201,54929289,55098245,55141938,55272134,55380663,55386129,55397369,55491810,55589838,55620686,55700366,55722470,55937777,56124927,56133864,56411609,57096881,57178070,57184517,57373840,57677851,57740056,57976215,58050470,58113798,58120649,58348454,58426914,58679189,58732024,58781717,58784889,58809665,58862650,58919777,59067810,59191264,59627100,59683017,59688857,59720294,59907009,60057929,60060843,60992703,61014924,61192709,61547534,61599734,61676165,61691169,61691609,61704917,61841296,62239001,62272504,62663606,62691110,62848824,63005664,63073409,63150597,63306245,63587969,63602240,63712865,63881249,64121817,64341489,64426070,64545570,64957563,65002776,65009849,65064376,65277041,65335745,65410409,65517014,65579189,65620878,65707215,65724854,65774897,65869670,66025169,66073527,66091089,66117894,66138446,66225795,66267640,66293681,66526329,66590172,66866964,67177569,67201217,67364248,67594289,67859909,68059238,68258649,68392001,68463110,68476820,68613684,68848608,68941697,68964329,69247817,69334329,69367745,69555850,69571458,69589947,69660564,69757649,69927041,69941249,70056567,70087696,70258820,70571598,70586678,70635180,70640848,70704927,70721777,70856297,70881372,70970465,71273969,71552520,71650886,71802401,71919256,72771110,72965765,73071735,73128123,73197423,73417778,73446569,73515956,73619846,73642577,73761365,73916870,73917494,73997198,74011398,74301617,74551095,74631729,74655977,74750414,75143726,75229332,75344192,75744065,75784779,75811094,75841528,75957926,75967494,76322688,76455438,76547177,76783288,76823441,77264198,77309417,77311284,77372420,77378054,77454684,77513177,77717765,77774966,77943184,78100935,78156849,78222875,78281417,78284969,78402894,78457238,78848658,78928166,79043604,79181769,79207349,79241799,79290245,79396097,79470954,79521168,79911110,79997817,80310689,80496585,80746409,80856917,80909163,81089489,81265012,81405844,81813688,82130489,82155732,82172184,82396930,82684724,82728689,82807265,82826769,82845175,83227449,83241294,83307664,83400675,83459716,83467020,83471129,83889254,84089500,84171110,84225369,84310584,84536897,84762216,84765377,84845969,85019817,85164558,85321719,85773638,85863024,86085895,86113924,86277161,86346195,86381199,86680865,86794689,86990817,87037336,87090161,87286409,87325332,87350606,87457172,87558918,87686082,87878417,87999620,88130870,88513638,88700244,88746249,88940217,88960720,88965446,88984454,88995977,89031488,89183849,89340017,89461314,89564415,89707637,89779886,90099489,90104870,90219975,90242609,90473849,90868017,90892878,91072408,91281665,91362868,91633089,91835177,92026406,92040399,92102608,92160737,92205134,92327729,92443707,92563097,92774217,92846904,92963649,93180615,93261318,93497657,93518776,93530649,93652484,93719217,93721122,93867450,94140041,94274367,94321670,94335475,94619801,94664789,94849407,95148294,95357493,95535376,95893332,96021326,96141304,96148889,96207365,96234640,96452139,96563270,96595902,96773798,97043534,97333877,97475777,97719617,97911749,97917003,98235878,98520470,98618657,98876316,99132134,99140081,99344777,99365500,99368718,99392656,99414210,99456686,99916070,...,2023323544311073398083220688080490673044863578827972069686468879225162919381008409770957412846138920331105080947861390962621632305334726847632690437886984200922116342152523310926907395501484085572463473970332839216700766335431780137209797885496913820587009230169808575900370312796894971986875231922644348177960786406101869141261922122921676492132361221671490169022727880739305872510021677681517305050734087999442241844866514629637057066012348960741373560728413055915622968399845037559703761435004458336217430025131009901382531620563186832492778839797236404706641455389017586246197348044507745934631061354155344689286511483885369326664340216213009966939815282321137606238945746874107976582838319434909783636805407811872486321786679848271296845949556052992203572202507804901085001557113096377674732293397614586585738650014589486416478012725097697805184127948989156209966724258980430715958224530752842592848156356119107919610088892866603128682104793202570487064933119018656031828151839679039413322695479947693540645885924815690752300761509096146681063359121001667126187019995408495016212485270565101602760829079546253880974022089811655272726904355404163784828732606336800306847744654613252307867692136471210026832418419768822435984251983737221429601676162835841414510163792953317348170203970781947293232743212645349774324911566532169470184969226716579899292664183561659223978890646284316516147520169513927613880307274969370286781091223192887985213743605304377902135582772135256796978225639611811679905731880014594397757514501602157460599962689212789177747543672257491711904331448793554407525438483558450013301946211837490812437235935459609351265373977278547523074567938695199909229129137005054958087281480718883995638749491954569493552870001141915633991130583620106277646375264076618530086059087012904615141686228874732852774692018807845267355983578384642305677854741634730530717347547044942044200770881402944314095876364441208263807428827319118353964046415629807854479537776986602321574501819640481690637892089765423401320276081717521492181222939528985129973373285114943124252621019837179856117251287805344940747957038284313208693481873163063520385398417156496196173821160826907245419907669887439511002294674740313152383107956362707221226871917376115682384697666264968110718327970926805642872476848770015562957673852635014831494282026214060994569600816617145897044610586302897081038351872224666320205590255029075419804328265453895280584972}
15320  1107266332217544670923884007853893352874929023610114721967699958: {107191,153130,183756,198991,336754,473959,581362,656911,857192,886762,930799,947794,964341,1040332,1148025,1204039,1224560,1252714,1377630,1435474,1469472,1567351,1653156,1773292,1800562,1929511,2740159,2870572,2983305,3009079,3073834,3182192,3235756,3455839,3534069,3579966,3978994,4207225,4521992,4608991,4760554,5048670,5049271,5057356,5087241,5247557,5253224,5274705,5385248,5419762,5420812,5479594,5575231,5626352,5909877,5924431,5957674,6058404,6329646,6375154,6446071,6851314,7267114,7383621,7395679,7496510,7738831,7741354,7995439,8577129,8790025,8900744,8930791,8995812,9391665,9584949,9848505,10013337,10017776,10108639,10119532,10135281,10167185,10448362,10505072,10548030,10609111,10709300,10838092,10974034,11024191,11189719,11251232,11269998,11323762,11437471,11614762,11808392,11818206,12130905,12200622,12421999,12543274,12657636,12735737,12747871,12832594,12851160,12919205,12939632,13063762,13146609,13234519,13284441,13352362,13707904,13870834,14057356,14232197,14280031,14293345,14413612,14445394,14457555,14524550,14557086,14560114,14620089,14837959,15064581,15234319,15299000,15304289,15418474,15421392,15429992,15503046,15650725,15835756,15943231,16159474,16231665,16568479,16575545,16841074,17011114,17111791,17152014,17211375,17294194,17313776,17349066,17358741,17420671,17429460,17574679,17689834,17919921,17934025,18051105,18084521,18111439,18193910,18197362,18358800,18492679,18591424,18643449,18780870,19254512,19376554,19475479,19477998,19582720,19775945,19890654,20032928,20074231,20214514,20331710,20346997,20594359,20653650,20776972,20915352,21110959,21215314,21478252,21520830,21658197,21661326,21708617,21832692,21863270,21915631,22030560,22045354,22060999,22155754,22278511,22376362,22537044,22585809,22955552,23070511,23346824,23427631,23499264,23529771,23666709,23679350,23731134,23782951,24022762,24136471,24140289,24235077,24295762,24398052,24405537,24784380,24786154,24967372,25239657,25255639,25437994,25468142,25600594,25762305,25824996,25835030,25899566,25991300,26141554,26235924,26249554,26265177,26436672,26540661,26560711,26701132,26734762,26764399,26922344,26967439,27237151,27479792,27574985,27682697,27861874,28022314,28172071,28238311,28251350,28396114,28415220,28436599,28556074,28801281,29045300,29060744,29092879,29741256,29803756,29806471,30063799,30287637,30309568,30383839,30447631,30464362,30604574,30771065,30914766,31002036,31012310,31189560,31200874,31596025,31635705,31708351,31906569,31974761,32159141,32266279,32450959,32634991,32647557,32693337,32883052,33089982,33223756,33243751,33268864,33458913,33564172,33744752,33901620,33905071,34030184,34098264,34143391,34262119,34339665,34380559,34418065,34541297,34682194,34734151,34836394,34854360,34922956,35085151,35088255,35141477,35261932,35375671,35740145,35894071,36161728,36166762,36277132,36383060,36451877,36624754,36628976,36696297,36925278,36929362,36980074,36999380,37039305,37136719,37177984,37214772,37427472,37579951,37638085,37690039,37915230,37962846,37963372,37963999,38283957,38360547,38452591,38498457,38635852,38956372,39211155,39285705,39412279,39508592,39546710,39642412,39674984,39696789,39779191,39943762,39977356,40194199,40300169,40386505,40440562,40442912,40681944,40808071,41010391,41080665,41133394,41182762,41207598,41301678,41361679,41507609,41709439,41724754,41825232,41904752,42105906,42180177,42442759,42539311,42648905,42888174,42900562,43073849,43095634,43207111,43254271,43321665,43535719,43652721,43659672,43720820,43721911,43819376,43824874,43884392,43890821,43953031,44067154,44115562,44182351,44303300,44364511,44399256,44405674,44447166,44550514,44634357,44692329,44791594,44966956,45037351,45165702,45301951,45433279,45498276,45560362,45678230,45767187,45860169,45941630,46209776,46277362,46286572,46418599,46710919,46713989,46800874,47053386,47122399,47142846,47203831,47275114,47438769,47456052,47566711,47794665,47805391,47929612,48463806,48582271,48997279,49108951,49117131,49256839,49293631,49296798,49344710,49369941,49389394,49657591,49693591,49949163,50049631,50086954,50202110,50226034,50432959,50457514,50522549,50841199,50902105,50980976,51011434,51057350,51149554,51178686,51336919,51390521,51530671,51594679,51792356,51810105,51967525,51975800,51985998,52003711,52051161,52074110,52158034,52464984,52520239,52668199,52756111,52795762,52977394,53015959,53163960,53325631,53462092,53578921,53626591,53635385,53653519,53667669,53733871,53787079,53881714,54022951,54036705,54111134,54353359,54429772,54488441,54526231,54599239,54671599,54790759,54813876,54824362,54837919,54992721,55008104,55129956,55264112,55270762,55424791,55493362,55510759,55651960,55658431,55736337,56041471,56060911,56176039,56202994,56307079,56343871,56423914,56434591,56474725,56495300,56575999,56593351,56627839,56654697,56690121,56704665,56708224,56746279,56762911,56877429,56931329,57034639,57080431,57155311,57285559,57353598,57566791,57571670,57639152,57701431,57713239,57736639,57765992,57902959,57923911,57955756,57984185,58195351,58228039,58274911,58311991,58393639,58424599,58472775,58481119,58552399,58590919,58604311,58665799,58672351,58674079,58675159,58943717,59023107,59213652,59216362,59358377,59474794,59484865,59809455,60075562,60118354,60242532,60430565,60484976,60641141,60715762,60970834,61082526,61268820,61326734,61521514,61534070,61623669,61810742,61884117,61985362,62172126,62237554,62320449,62361030,62370960,62488932,62608455,62929349,63022252,63355665,63614314,63796752,64115697,64122929,64362462,64413561,64620392,64844046,64986741,65353408,65467525,65630900,65671969,65707762,65839756,65926168,66361337,66518432,66529024,66557674,66734270,66782352,67080274,67185377,67320562,67560274,67579376,67679914,67711225,67769670,67794360,68025992,68045598,68117362,68200286,68275954,68710762,68947114,69086004,69104362,69251692,69581022,69652714,69925714,70120234,70167330,70243646,70394421,70740104,70791052,71278954,71381838,71586977,71657417,71717300,71771346,71900661,71967274,72017356,72175070,72195562,72287648,72313984,72347434,72516678,72536914,72697941,72763762,72894206,73239052,73365874,73415030,73522584,73771761,73840884,73848172,73989080,74119784,74166939,74276774,74533875,74594794,74668714,74816362,74833236,74845152,75016597,75083457,75130146,75147634,75367762,76026798,76133674,76157669,76268655,76529241,77000362,77301620,77485064,77518857,77715562,77840630,77857834,77902552,77928874,78290049,78379852,78486969,78561030,78757080,79440754,79470561,79502800,79577356,79582617,79688357,79857394,79876012,79962857,80081124,80133874,80340562,80567337,80589782,80735369,80809689,80888914,81241041,81253470,81323604,81330470,81353232,81828929,82254892,82576114,82712907,82771249,82834550,82908201,82908754,83008234,83206762,83237715,83371762,83384757,83404714,83431029,83550549,83583705,83593454,83798432,84007552,84123641,84200796,84205310,84645034,84967594,85495756,85596025,85767105,85788652,85925674,85989034,86060760,86587762,86610084,86670368,86968574,87025234,87056362,87075705,87170697,87494504,87522681,87609620,87640371,87823525,87860074,88098036,88121452,88157192,88257874,88293975,88301060,88318834,88601715,88701772,88773994,88786896,88815397,89155952,89165554,89345362,89440650,89570092,89580441,89899070,90058834,90382762,90558634,90646354,90821362,91011532,91371754,91484912,91522386,91687762,91798144,91894945,92321301,92399601,92445772,92761944,92786596,92792554,92820562,92875601,92880752,93405034,93408756,93415742,93818194,93995409,94036665,94095464,94180240,94200562,94227754,94273236,94363474,94508496,94801910,95275762,95403360,95979110,96195562,96345326,96639105,96715525,96738034,96814954,96818355,97121194,97428980,97504164,97596564,97601362,97951474,98275521,98431317,98587281,98681864,98804505,98863061,99176841,99207669,99224434,99401460,99508972,99559762,99702514,99885258,...,3034985316466610097124831032120736009567295368241958104529703318837744379071512614656436119269208380496657621421792086443932448458002090271449035656830476301383174513228784966390361093252226128358695210955499258825051149503147670205814696828245370730880513845254712863850555469195342457980312847883966522266941179609152803711892883184382514738198541832507235253534091821108958808765032516522275957576101131999163362767299771944455585599018523441112060341092619583873434452599767556339555642152506687504326145037696514852073797430844780248739168259695854607059962183083526379369296022066761618901946592031233017033929767225828053989996510324319514950409722923481706409358418620311161964874257479152364675455208111717808729482680019772406945268924334079488305358303761707351627502335669644566512098440096421879878607975021884229624717019087646546707776191923483734314950086388470646073937336796129263889272234534178661879415133339299904693023157189803855730597399678527984047742227759518559119984043219921540310968828887223536128451142263644220021595038681502500689280529993112742524318727905847652404141243619319380821461033134717482909090356533106245677243098909505200460271616981919878461801538204706815040248627629653233653976377975605832144402514244253762121765245689429976022255305956172920939849114818968024661487367349798254205277453840074869848938996275342488835968335969426474774221280254270891420820460912454055430171636834789331977820615407956566853203374158202885195467338459417717519858597820021891596636271752403236190899944033819183766621315508386237567856497173190331611288157725337675019952919317756236218655853903189414026898060965917821284611851908042799863843693705507582437130922221078325993458124237931854240329305001712873450986695875430159416469562896114927795129088630519356922712529343312099279162038028211767901033975367576963458516782112452095796076021320567413066301156322104416471143814546661812395711143240978677530946069623444711781719306665479903482361752729460722535956838134648135101980414122576282238271834409293477694960059927672414686378931529755769784175876931708017411121935557426469813040222809744595280578097625734744294260731741240360868129861504831159266503442012110469728574661934544060831840307876064173523577046499397452166077491956390208464308715273155023344436510778952522247241423039321091491854401224925718845566915879454345621557527808336999480308385382543613129706492398180842920877458}
15321  1112225011937244176121206548431296837349540471499961284046896246: {30638,229695,245008,275634,505131,750043,872043,1071490,1285788,1300415,1330143,1421691,1530700,1560498,1836840,1851179,1879071,1959296,2066445,2153211,2204208,2216615,2479734,2659938,2700843,2784418,3588215,3776383,3867611,3956743,3977740,4044695,4305858,4417943,4596571,4610751,4712092,4773288,4853634,4923058,5369949,5652490,5968491,6156631,6321695,6390802,6566530,6731560,6757738,6776015,6782988,6886319,7032940,7140831,7345351,7551778,7573005,7586034,7788151,7879836,7890971,8077872,8129643,8131218,8219391,8439528,8765554,8936511,8994619,9087606,9191938,9494469,9562731,9844828,10184423,10276971,10332343,10418914,10638311,10900671,11125930,11244765,11322178,11436172,11518858,11612031,11994416,12430594,12466603,12522220,12649415,12779932,12836183,13131340,13274911,13351116,13352098,13386625,13493718,13501243,13513708,13547615,13902251,14064040,14663899,14688778,14760490,15026664,15149554,15179298,15672543,15757608,15822045,16063950,16095634,16174540,16257138,16267496,16461051,16828642,16847698,16876848,16904997,16985643,17064034,17134880,17422143,17528812,17571695,17664319,17712588,17727309,17986882,18017015,18300933,18386231,18646498,18814911,18986454,19123750,19248891,19276740,19287490,19409448,19493452,19595643,19794695,20028543,20086108,20428471,20561856,20670728,20806251,21086034,21459778,21536983,21620418,21642220,21668091,21786825,21835629,21840171,22308658,22465234,22865711,22869352,22948500,23127711,23132088,23144988,23239280,23254569,23557051,23753634,23773522,23893228,24044818,24068140,24239211,24248431,24478400,24848879,24857932,24865691,25041160,25261611,25428151,25516671,25728021,25941291,25970664,25970818,25971215,26023599,26063663,26144190,26520872,26534751,26847815,27290865,27296043,27435682,27538200,27887136,28171305,28694440,28805711,28877596,28881768,28912234,29064831,29110256,29183530,29216997,29353991,29374080,29526658,29744443,29776411,29792939,29835981,30049392,30114412,30321771,30497565,30980475,31165458,31209215,31276258,31332352,31373028,31464703,31555612,31609834,31641512,31822971,32050354,32187052,32217378,32281245,32313436,32489125,32491989,32530736,32540716,32749038,32794905,33045840,33068031,33088271,33233631,33376415,33564543,33636443,33652876,33652930,33790271,33805566,34170322,34349740,34433328,34436071,34570018,34715611,34981232,35020236,35212138,35248896,35387548,35519025,35596701,36034143,36306625,36325930,36443643,36447202,36597078,36666658,37176570,37179231,37254695,37451058,37662251,37722943,37886960,38156991,38202213,38341954,38398843,38400891,38401708,38642351,38737494,38752545,38783218,38849349,38986950,39212331,39353886,39374331,39655008,39914191,40051698,40102143,40383516,40433554,41103815,41219688,41336048,41529695,41586080,41792811,41955215,42033471,42180940,42239698,42283618,42377025,42537730,42542092,42554831,42594171,42622830,42834111,42973943,43530076,43567950,43591116,43653695,44077415,44119976,44412274,44500271,44608354,44611884,44637034,44705634,45202160,45346415,45464352,45478825,45685351,45696543,45786220,45906861,46241194,46249225,46372149,46472480,46503054,46518465,46784340,46801311,46885483,47454215,47772311,47994418,48132091,48294815,48356098,48399791,48492091,48695465,48928396,49233704,49324578,49385740,49553015,49593730,49619696,49634973,49835634,49903296,49971695,50346258,50434258,50545243,50553640,50593343,50617128,50852430,51045276,51147396,51331276,51631003,51915623,52001119,52023291,52254591,52281540,52380940,52384434,52892898,52924354,52929052,53226898,54126631,54242592,54250143,54415698,54506143,54574590,54651025,54774220,54855490,54937131,54943464,55068904,55298578,55379125,55387917,55394043,55470111,55499070,55766976,55822158,56141208,56208695,56240236,56305258,56331634,56542843,56555479,56872845,56944269,56945058,57184232,57588514,57596639,57685397,57762220,57858215,57953778,58078031,58118171,58182143,58203628,58212896,58333762,58434558,59041499,59131954,59199008,59262888,59320065,59463618,59512476,59522743,59589772,59912015,59915643,59966034,60220936,60499819,60660843,60664368,61022916,61146892,61700091,61774143,61774738,61811397,61838218,61897591,61952517,62093791,62587131,62737848,62857128,63158859,63251692,63274736,63726220,64231151,64332261,64350843,64428778,64618408,64643451,64740445,64854811,64969750,65212978,65489508,65581230,65582623,65729064,65733538,65737311,65826588,66100731,66173343,66365051,66454950,66563951,66598884,66608511,66670749,66825771,66827615,66985234,67187391,67450434,67627711,67748553,67799431,67817938,68037215,68164733,68174443,68238248,68247414,68340543,68422631,68517345,68632619,68760130,68912445,68964319,69080140,69314664,69401548,69416043,69429858,69564950,69953312,70201311,70541339,70580079,70619125,70714269,70865659,70885280,70912671,71184078,71556892,71894418,71984434,72026231,72048940,72207490,72444695,72446891,72695709,73085168,73224898,73323628,73506608,73555183,73945197,74017065,74084091,74315116,75130431,75303165,75339051,75539596,75586828,75606220,75686271,75836572,76115434,76147618,76248491,76471464,76517151,76557691,76586025,76724331,76768029,77137543,77211058,77394619,77688534,77963700,77978997,78011458,78111165,78144539,78163618,78237051,78697476,78777815,78951536,79193643,79466091,79673423,79745940,80049298,80080402,80193138,80323376,80520071,80775490,80822571,81166701,81270658,81365279,81443368,81476551,81644658,81691760,82038625,82164892,82220814,82236543,82299695,82333531,82407710,82512156,82694934,82896168,82906143,83093932,83148040,83161280,83240043,83318576,83477940,83644439,83868082,83900338,84304491,84474220,84635871,84742950,84857383,85032490,85062336,85475818,85487596,85816616,85884748,85978031,86030397,86346631,86357505,86458728,86564615,86648988,86924962,86933634,87451234,87767554,88229791,88231343,88425130,88488815,88628743,88820478,88824543,89043136,89198011,89212191,89646625,89720951,89768458,90021695,90113343,90177531,90196498,90344399,90359560,90363798,90391631,90392480,90485803,90727138,90727464,91073643,91194751,91312234,91328171,91456251,91470043,91548815,91598914,91623789,91903230,91990101,92114672,92217538,92263919,92282271,92301105,92310215,92435279,92486350,92649730,92716113,92774696,92978043,93054634,93096379,93258189,93352258,93356331,93541545,93556440,93733398,93758578,93831751,93859228,94533378,95066411,95100994,95175784,95421471,95695128,95802359,95848354,95867548,95998991,96543693,96627025,96688904,96856330,96930588,97054871,97114843,97266069,97378190,97467143,97974815,98030112,98362348,98446350,98454512,98459122,98561643,98759634,98889252,99358651,99378500,99471695,99777648,99793536,99836511,99845015,...,4552477974699915145687246548181104014350943052362937156794554978256616568607268921984654178903812570744986432132688129665898672687003135407173553485245714452074761769843177449585541639878339192538042816433248888237576724254721505308722045242368056096320770767882069295775833203793013686970469271825949783400411769413729205567839324776573772107297812748760852880301137731663438213147548774783413936364151697998745044150949657916683378398527785161668090511638929375810151678899651334509333463228760031256489217556544772278110696146267170373108752389543781910589943274625289569053944033100142428352919888046849525550894650838742080984994765486479272425614584385222559614037627930466742947311386218728547013182812167576713094224020029658610417903386501119232458037455642561027441253503504466849768147660144632819817911962532826344437075528631469820061664287885225601472425129582705969110906005194193895833908351801267992819122700008949857039534735784705783595896099517791976071613341639277838679976064829882310466453243330835304192676713395466330032392558022253751033920794989669113786478091858771478606211865428979071232191549702076224363635534799659368515864648364257800690407425472879817692702307307060222560372941444479850480964566963408748216603771366380643182647868534144964033382958934259381409773672228452036992231051024697381307916180760112304773408494413013733253952503954139712161331920381406337131230691368681083145257455252183997966730923111934850279805061237304327793201007689126576279787896730032837394954407628604854286349916050728775649931973262579356351784745759785497416932236588006512529929378976634354327983780854784121040347091448876731926917777862064199795765540558261373655696383331617488990187186356897781360493957502569310176480043813145239124704344344172391692693632945779035384068794014968148918743057042317651851550963051365445187775173168678143694114031980851119599451734483156624706715721819992718593566714861468016296419104435167067672578959998219855223542629094191083803935257201972202652970621183864423357407751613940216542440089891508622029568397294633654676263815397562026116682903336139704719560334214616892920867146438602116441391097611860541302194792257246738899755163018165704592861992901816091247760461814096260285365569749096178249116237934585312696463072909732535016654766168428783370862134558981637237781601837388578268350373819181518432336291712505499220462578073815419694559738597271264381316187}
15322  1117205721498205349172791598547926085016868951843535244373076069: {45957,214382,306260,351877,367512,397982,413451,673508,809257,900517,947918,1162724,1313822,1355737,1607235,1714384,1773524,1861598,1895588,1913375,1928682,2080664,2260777,2296050,2340747,2408078,2449120,2505428,2620777,2755260,2870948,2890021,2938944,3134702,3306312,3546584,3601124,3604837,3719601,3859022,3989907,4049257,4176627,4972175,5284057,5480318,5721637,5741144,5890115,5966610,6018158,6147668,6364384,6418021,6458787,6471512,6591397,6911678,7068138,7109797,7159932,7280451,7282021,7384587,7539817,7957988,8309317,8394457,8414450,8478735,8791175,8819077,9043984,9217982,9521108,9578857,9586203,9849795,9998437,10097340,10098542,10114712,10136607,10174482,10249321,10495114,10506448,10549410,10770496,10839524,10841624,10959188,11080921,11150462,11246377,11252704,11327667,11379051,11819754,11848862,11915348,12116808,12196827,12306035,12659292,12750308,12892142,13128421,13148331,13631409,13693657,13702628,13787907,14234059,14295215,14534228,14574757,14767242,14791358,14993020,15477662,15482708,15628371,15652775,15974915,15990878,16414175,16466917,16688895,16892135,16983267,17154258,17278287,17580050,17801488,17861582,17991624,18086887,18088537,18645891,18783330,19169898,19603417,19697010,19977637,20010683,20026674,20028147,20035552,20217278,20218175,20239064,20240577,20270562,20334370,20349659,20498521,20646697,20896724,21010144,21015877,21096060,21218222,21418600,21456517,21602821,21676184,21911015,21948068,21967321,22033167,22048382,22112617,22140735,22379438,22502464,22539996,22647524,22724331,22768947,22874942,23205763,23229524,23264617,23616784,23636412,24046451,24095925,24143451,24261810,24366815,24385707,24401244,24608677,24843998,25086548,25107635,25166821,25242963,25271547,25315272,25471474,25495742,25513321,25596051,25665188,25702320,25838410,25879264,26127524,26293218,26469038,26568882,26704724,26980323,27052775,27353317,27415808,27554521,27686323,27741668,27969747,28114712,28464394,28479681,28560062,28586690,28685625,28827224,28890788,28915110,28931235,29010217,29049100,29114172,29120228,29240178,29660377,29675918,29866535,30085175,30129162,30367237,30468638,30598000,30608578,30812521,30836948,30842784,30859984,31002277,31006092,31072415,31128421,31254277,31301450,31629051,31671512,31886462,32189667,32318948,32374021,32430627,32463330,32864197,33136958,33151090,33168217,33410137,33462987,33682148,33697851,33710917,34022228,34188421,34223582,34304028,34422750,34588388,34602457,34627552,34698132,34717482,34841342,34858920,35149358,35245957,35379668,35477797,35630451,35660283,35839842,35868050,36067227,36096995,36102210,36109417,36169042,36222878,36387820,36394724,36717600,36956677,36985358,37182848,37286898,37346521,37561740,37643015,37732837,38061157,38509024,38604979,38753108,38817157,38870617,38950958,38955996,38956227,38977321,39165440,39216285,39242821,39444515,39551890,39781308,40065856,40148462,40233815,40391795,40429028,40440937,40645417,40663420,40675895,40693994,41153523,41188718,41302021,41307300,41553944,41650537,41700037,41830704,42066095,42221918,42385477,42430628,42515891,42937175,42956504,43009321,43041660,43079491,43316394,43322652,43368351,43417234,43665384,43726540,43775295,43806757,43831262,44037337,44061120,44090708,44121998,44174821,44234435,44289987,44311508,44557022,44628421,44718277,44752724,44763097,45074088,45171618,45295321,45644377,45860197,45911104,46141022,46693648,46748187,46855262,46912297,46914387,46998528,47059542,47076457,47333418,47358700,47414751,47462268,47565902,47721577,47879977,48002135,48045524,48075531,48185291,48272942,48280578,48326067,48463717,48470154,48565583,48591524,48796104,48811074,48843877,49054447,49123557,49216837,49568760,49572308,49870021,49934744,50036203,50047321,50117737,50465497,50479314,50479395,50511278,50708349,50875988,50936284,51006937,51201188,51238021,51255483,51524610,51649992,51657817,51670060,51721321,51799132,51855027,51878821,51982600,52127077,52283108,52400857,52471848,52490821,52499108,52530354,52580137,52693319,52726175,52786021,52818207,52873344,52930921,53081322,53121422,53177615,53402264,53469524,53492521,53528798,53547097,53574277,53585939,53844688,53894821,53934878,53947237,54102757,54154021,54331177,54412595,54474302,54488895,54670803,54817897,54895617,54959584,54999987,55149970,55164037,55231321,55365394,55385797,55407577,55450921,55600357,55723748,55764855,55868521,55968421,56027497,56044628,56176587,56257321,56294617,56344142,56476622,56502700,56541107,56736517,56792228,56830440,56868421,56873198,56900677,56980057,56995717,57072937,57112148,57232775,57274019,57279577,57322021,57498457,57512931,57524521,57602562,57674857,57686917,57912997,58090600,58106241,58110277,58121488,58174827,58185758,58198117,58352197,58379557,58430821,58480425,58488421,58504297,58524457,58548037,58658521,58664677,58673497,58690777,59030829,59482512,59607512,59612942,59708467,60077547,60127598,60575274,60619136,60650331,60767678,60895262,60928724,61160495,61209148,61542130,61732175,61829532,62004072,62024620,62379120,62401748,63192050,63271410,63320543,63359547,63416702,63425427,63806595,63813138,63934245,63949522,64164095,64318282,64532558,64901918,65269982,65295114,65351925,65386674,65476175,65680571,65766104,66161315,66179964,66447512,66487502,66537728,66618411,66912531,66917826,66955551,67058451,67128344,67489504,67803240,67810142,68060368,68196528,68286782,68332451,68467775,68524238,68679330,68761118,68836130,69082594,69361791,69364388,69468302,69672788,69708720,69754581,69845912,70170302,70176510,70282954,70300295,70523864,70751342,71262947,71480290,71666803,71788142,71991627,72202775,72323456,72333524,72534147,72554264,72754535,72766120,72903754,73249508,73257952,73392594,73398083,73850556,73858724,73960148,73986867,73998760,74078610,74273438,74355968,74390595,74429544,74487215,74753451,74854944,75026423,75089539,75159902,75276170,75380078,75519387,75651387,75699899,75830460,75925692,75926744,75927998,76278645,76433615,76567914,76721094,76905182,76996914,77271704,77612327,77912744,78422310,78571410,78576651,78824558,79017184,79064615,79093420,79284824,79339347,79349968,79386531,79393578,79558382,79657775,79840347,79887524,79954712,80388398,80600338,80773010,80881124,80885824,81177859,81363888,81616142,81623547,81861885,82020782,82161330,82266788,82283235,82365524,82415196,82603356,82723358,82947867,83015218,83248605,83278811,83418878,83449508,83650464,83733237,83809504,83842079,84211812,84360354,84457887,84497451,84602791,84885518,85078622,85297810,85417587,85776348,85801124,86147698,86191268,86350175,86382771,86414222,86508542,86643330,86751935,86930667,87071438,87305442,87319344,87441640,87443822,87500643,87638752,87649748,87651837,87768784,87781642,87906062,88134308,88231124,88364702,88479611,88606600,88697931,88729022,88798512,88811348,88894332,89101028,89195427,89268714,89384658,89446115,89583188,89933912,89949051,90061175,90074702,90331404,90603902,90866558,90996552,91120724,91356460,91534374,91654535,91720338,91883260,92419552,92509043,92554724,92573144,92662107,92757327,92837198,92893895,93421838,93427978,93601748,94106772,94244798,94285692,94407662,94424495,94483535,94507775,94550228,94795715,94877538,94912104,95133422,95414527,95589330,95610782,95859224,96643167,96927612,97164542,97454625,97819467,97820567,97994558,98217902,98234262,98371845,98513678,98587262,98593596,98600307,98689420,98739882,98778788,99315182,99387182,99682425,99898326,...,6069970632933220194249662064241472019134590736483916209059406637675488758143025229312872238538416760993315242843584172887864896916004180542898071313660952602766349026457569932780722186504452256717390421910998517650102299006295340411629393656490741461761027690509425727701110938390684915960625695767933044533882359218305607423785766368765029476397083665014470507068183642217917617530065033044551915152202263998326725534599543888911171198037046882224120682185239167746868905199535112679111284305013375008652290075393029704147594861689560497478336519391709214119924366167052758738592044133523237803893184062466034067859534451656107979993020648639029900819445846963412818716837240622323929748514958304729350910416223435617458965360039544813890537848668158976610716607523414703255004671339289133024196880192843759757215950043768459249434038175293093415552383846967468629900172776941292147874673592258527778544469068357323758830266678599809386046314379607711461194799357055968095484455519037118239968086439843080621937657774447072256902284527288440043190077363005001378561059986225485048637455811695304808282487238638761642922066269434965818180713066212491354486197819010400920543233963839756923603076409413630080497255259306467307952755951211664288805028488507524243530491378859952044510611912345841879698229637936049322974734699596508410554907680149739697877992550684977671936671938852949548442560508541782841640921824908110860343273669578663955641230815913133706406748316405770390934676918835435039717195640043783193272543504806472381799888067638367533242631016772475135712994346380663222576315450675350039905838635512472437311707806378828053796121931835642569223703816085599727687387411015164874261844442156651986916248475863708480658610003425746901973391750860318832939125792229855590258177261038713845425058686624198558324076056423535802067950735153926917033564224904191592152042641134826132602312644208832942287629093323624791422286481957355061892139246889423563438613330959806964723505458921445071913676269296270203960828245152564476543668818586955389920119855344829372757863059511539568351753863416034822243871114852939626080445619489190561156195251469488588521463482480721736259723009662318533006884024220939457149323869088121663680615752128347047154092998794904332154983912780416928617430546310046688873021557905044494482846078642182983708802449851437691133831758908691243115055616673998960616770765087226259412984796361685841754916}
15323  1122208557992595497573913691474457918066124146608485047596498065: {61276,321573,382825,459390,490016,551268,596973,841885,1010262,1421877,1453405,1500086,1744086,1820581,1970733,2142980,2187757,2216905,2369485,2571576,2600830,2660286,2792397,2843382,2893023,3061400,3103261,3120996,3131785,3444075,3588685,3612117,3673680,3702358,3758142,3868117,3918592,4132890,4306422,4408416,4418521,4433230,4501405,4570813,4702053,4937701,4959468,5023501,5319876,5401686,5568836,5662573,5788533,6887221,7176430,7222237,7531561,7552766,7684585,7735222,7913486,7955480,8081533,8089390,8138377,8220477,8611716,8835886,8850373,8895997,8949915,9027237,9193142,9221502,9325693,9424184,9486421,9546576,9604201,9707268,9846116,9947485,10185757,10367517,10602207,10739898,10886797,11157253,11304980,11889877,11901385,11903221,11936982,12191941,12313262,12621675,12643390,12781604,12988813,13133060,13237477,13463120,13515476,13549405,13552030,13565976,13698985,13721437,13772638,13826973,14065880,14281662,14389237,14690702,14894185,15103556,15146010,15147813,15172068,15261723,15576302,15742671,15759672,15781942,15824115,15937885,16155744,16259286,16262436,16429933,16438782,16725693,16879056,17128285,17531108,17709181,17729631,17773293,17873022,17989238,18167785,18175212,18383876,18741275,18892357,18904153,18966661,18988938,19125462,19338213,19353385,19689656,20368846,20449861,20549317,20553942,20664686,20682037,20837828,21276622,21801342,22150863,22187037,22251860,22489530,22644356,22872344,23023321,23037716,23199517,23216493,23224062,23425417,23474053,23986317,23988832,24600373,24861188,24933206,25044440,25182421,25223821,25298830,25559864,25566133,25620121,25672366,25731387,26120905,26262680,26370075,26549822,26702232,26704196,26773250,26792373,26947177,26987436,27002486,27023113,27027416,27095230,27162157,27435085,27646981,27712573,27804502,27861157,28128080,28174995,28309405,28754847,28809517,29036905,29049253,29185753,29327798,29366857,29377556,29520980,29545515,29586061,29871913,30040011,30053328,30125821,30299108,30325917,30358596,30405843,30501555,30785893,31345086,31358185,31515216,31644090,31769221,31827333,32081485,32127900,32191268,32349080,32514276,32534992,32659405,32922102,33072573,33240541,33380905,33569157,33657284,33695396,33753696,33809994,33971286,34043113,34128068,34269760,34312413,34677085,34702333,34844286,35049421,35057624,35143390,35209837,35307277,35328638,35425176,35454618,35973764,36034030,36113485,36311375,36359701,36392715,36400285,36601866,36772462,37265997,37292996,37389973,37586941,37629822,37765597,37972908,37994077,38207211,38243613,38247500,38497782,38546185,38553480,38574980,38757615,38818896,38986904,39191286,39439827,39471013,39589390,39626917,39703557,39853323,40057086,40172216,40398685,40432681,40856942,41123712,41341456,41583421,41612502,42102685,42172068,42196741,42527785,42696591,42744553,42840093,42880035,42919556,42979621,43073966,43235485,43240836,43284440,43336182,43372665,43573650,43671258,43680342,43692901,43860267,44224585,44320333,44500297,44509933,44513877,44617316,44930468,45193743,45484775,45493405,45668233,45702957,45731422,45738704,45897000,45912867,46255422,46264176,46289976,46460821,46478560,46509138,46726981,46952175,47114102,47125261,47507268,47547044,47786456,47829693,48029701,48089636,48136280,48441385,48469717,48478422,48496862,48694995,48956800,49697758,49705437,49715864,49726635,49731382,49735597,50082320,50292073,50523222,50536285,50829275,50856302,51033342,51106981,51335373,51456042,51634125,51722197,51882582,51941328,51941636,51942430,52047198,52076223,52127326,52156573,52262013,52288380,52612477,52724037,53038285,53041744,53069502,53695630,53759763,53802075,54153315,54253563,54334317,54581730,54592086,54658175,54871364,55076400,55113385,55389385,55439257,55478037,55774272,55930347,55940905,56342610,56545501,56748613,57179653,57193837,57199753,57388880,57545341,57611422,57755192,57763536,57824468,58129662,58141573,58220512,58367060,58426437,58433994,58694761,58707982,58737301,58748160,59053316,59198375,59267893,59327835,59488886,59552822,59585878,59671962,59704153,60056905,60098784,60222693,60228824,60643542,60739405,60995130,61040991,61115173,61294717,61568821,61708381,61783077,61960950,61965385,62253157,62330916,62418430,62552516,62664704,62746056,62895877,62929406,63111224,63219668,63283024,63332877,63438313,63484981,63527221,63594985,63643477,63645942,63670355,63855517,64001485,64100708,64374104,64434756,64562490,64587575,64626872,64748915,64974591,64978250,64983978,65027101,65061472,65081432,65125851,65353885,65498076,65589810,65623885,65746893,66091680,66136062,66176542,66182997,66435901,66467262,66752830,66807613,66835533,66836905,67059973,67129086,67272886,67305752,67305860,67580542,67611132,67612741,67757427,67808137,68173651,68340644,68637673,68699480,68866656,68872142,68918761,68960221,69117277,69140036,69211533,69374221,69431222,69654685,69776317,69810973,69960373,69962464,70040472,70055785,70282893,70424276,70497792,70589313,70628375,70775096,70868677,70990285,71000127,71038050,71193402,71348853,71390185,71524237,71787757,72068286,72409413,72420867,72456637,72613250,72651860,72705231,72887286,72894404,73194156,73216611,73333316,73452493,74353140,74358462,74509390,74779753,74902116,75309421,75324502,75445886,75718971,75766917,75773920,75862057,76160905,76313982,76404426,76511435,76683908,76790281,76797686,76801782,76803416,77284702,77286915,77329933,77474988,77505090,77530775,77566436,77698698,77973900,78002185,78004393,78424662,78692173,78696133,78707772,78748662,78795531,79310016,79621983,79682133,79828382,80048221,80103396,80204286,80293197,80767032,80867108,80902317,81001501,81111277,81308557,81711453,82207630,82374217,82439376,82672096,82724955,82790317,83048091,83059390,83172160,83367037,83450281,83585622,83876821,83910430,84066942,84361880,84377053,84479396,84516213,84520297,84567236,84714933,84754050,85075460,85084184,85105357,85109662,85188342,85245660,85309797,85334317,85619053,85668222,85757401,85947886,86403843,86705485,87060152,87090985,87135900,87182232,87278637,87307390,87585097,87902221,88154830,88239952,88739881,88824548,89000542,89216708,89223768,89274068,89411268,89413021,89419413,90111853,90191397,90404320,90416905,90424381,90636623,90692830,90862911,90928704,90957650,91151517,91221541,91342893,91370702,91393086,91561885,91572440,91813722,92133397,92292877,92313195,92323405,92352637,92450185,92482388,92498450,92588221,92744298,92944960,92996797,93006108,93036930,93204421,93406921,93558661,93568680,93602622,93676021,93770966,94788075,94907115,94908430,95125053,95252101,95544622,95719707,95924283,95988836,96264182,96477423,96589630,96712196,96798837,96799582,96943957,96944317,96984182,97163653,97352877,97390930,97480021,97745653,97856792,97904973,97942671,98080011,98467408,98501017,98611501,98649156,98771480,98866775,98890021,99106030,99115357,99187460,99239392,99269946,99410677,99671268,99731253,99806592,99859405,99943390,...,9104955949399830291374493096362208028701886104725874313589109956513233137214537843969308357807625141489972864265376259331797345374006270814347106970491428904149523539686354899171083279756678385076085632866497776475153448509443010617444090484736112192641541535764138591551666407586027373940938543651899566800823538827458411135678649553147544214595625497521705760602275463326876426295097549566827872728303395997490088301899315833366756797055570323336181023277858751620303357799302669018666926457520062512978435113089544556221392292534340746217504779087563821179886549250579138107888066200284856705839776093699051101789301677484161969989530972958544851229168770445119228075255860933485894622772437457094026365624335153426188448040059317220835806773002238464916074911285122054882507007008933699536295320289265639635823925065652688874151057262939640123328575770451202944850259165411938221812010388387791667816703602535985638245400017899714079069471569411567191792199035583952143226683278555677359952129659764620932906486661670608385353426790932660064785116044507502067841589979338227572956183717542957212423730857958142464383099404152448727271069599318737031729296728515601380814850945759635385404614614120445120745882888959700961929133926817496433207542732761286365295737068289928066765917868518762819547344456904073984462102049394762615832361520224609546816988826027466507905007908279424322663840762812674262461382737362166290514910504367995933461846223869700559610122474608655586402015378253152559575793460065674789908815257209708572699832101457551299863946525158712703569491519570994833864473176013025059858757953268708655967561709568242080694182897753463853835555724128399591531081116522747311392766663234977980374372713795562720987915005138620352960087626290478249408688688344783385387265891558070768137588029936297837486114084635303703101926102730890375550346337356287388228063961702239198903468966313249413431443639985437187133429722936032592838208870334135345157919996439710447085258188382167607870514403944405305941242367728846714815503227880433084880179783017244059136794589267309352527630795124052233365806672279409439120668429233785841734292877204232882782195223721082604389584514493477799510326036331409185723985803632182495520923628192520570731139498192356498232475869170625392926145819465070033309532336857566741724269117963274475563203674777156536700747638363036864672583425010998440925156147630839389119477194542528762632374}
15324  1127233618937085057668873694054502487473224278502868447688483033: {76595,91914,168443,260219,428764,565619,612520,689085,703754,718019,735024,795964,809363,826902,931043,1265003,1347016,1477019,1515393,1618514,1628219,1801034,1895836,1990283,2080619,2250129,2291123,2325448,2471243,2616129,2627644,2678725,2711474,2920283,3214470,3367523,3428768,3516203,3547048,3635003,3723196,3783323,3791176,3826750,3857364,3901245,3961043,3990429,4079363,4161328,4265073,4404083,4521554,4592100,4610219,4669043,4681494,4816156,4898240,5010856,5241554,5489219,5510520,5553537,5576723,5637213,5741896,5780042,5877888,5984123,6199335,6269404,6447803,6459633,6612624,6649845,6794219,6961045,7093168,7202248,7209674,7439202,7454963,7718044,7979814,7997603,8098514,8102529,8225219,8246161,8353254,8423963,8509019,8650619,8735483,8848523,8933219,9411803,9944350,10111403,10568114,10695203,10764645,10960636,11082443,11247923,11329149,11440619,11443274,11482288,11602833,11780230,11870229,11906963,11933220,12036316,12134085,12295336,12307645,12479843,12670019,12728768,12805619,12836042,12917574,12943024,13182794,13253829,13480619,13789713,13823356,13832253,14017019,14097203,14131225,14136276,14219594,14284019,14319864,14560902,14564042,14603363,14736083,14769174,15079634,15685763,15869219,15915976,15977005,16109847,16313123,16416325,16573163,16618634,16702883,16788914,16828900,16894345,16957470,17168219,17228449,17425619,17582350,17638154,17905473,18087968,18116603,18435964,18469893,18574019,18879445,18965085,19003643,19042216,19157714,19172406,19699590,19781123,19996874,20013301,20080019,20129723,20194680,20197084,20229424,20273214,20328045,20348964,20498642,20526203,20649683,20658957,20990228,21012896,21098820,21264083,21422493,21540992,21557219,21679048,21683248,21913885,21918376,21970523,22036053,22115843,22161842,22285019,22300924,22364881,22405619,22492754,22505408,22655334,22719015,22758102,22979845,23125019,23364453,23553203,23639508,23648989,23672913,23697724,23719019,23830696,24049597,24190619,24233616,24354923,24388929,24393654,24472043,24612070,24658173,24892019,25054643,25124219,25193723,25318584,25500616,25586219,25655243,25784284,26047285,26256842,26296662,26500619,26568683,26614019,26772443,26809533,26953019,26983857,27262818,27387314,27405256,27575814,27581003,27814825,28180619,28224803,28305445,28357163,28418533,28445243,28468118,28483407,28590430,28688193,28797145,28905563,29068456,29101763,29149514,29534484,29582716,29751083,29815619,29986040,30393203,30499523,30553269,30563219,30675421,30711563,30830913,30838403,30955324,30965416,30997029,31076485,31196219,31256742,31305550,31914933,31949830,31981756,32090963,32502083,32702013,32828350,32933834,33294563,33377790,33380245,33734295,33784270,33796163,33856019,33915803,33955619,33966534,34113541,34193843,34213643,34308516,34490003,34556574,34836093,34843019,35038019,35150689,35160100,35387003,35425619,35560523,35602976,35723164,35905619,35983248,36058163,36173774,36177074,36721945,36901225,36981323,37185923,37291782,37399809,37537043,37566660,37739003,37873885,37948245,38085563,38339796,38465243,38501219,38508549,38626883,38948219,39206834,39249323,39266963,39394020,39792443,39824733,39955274,40021366,40052483,40053348,40056294,40071104,40159875,40239085,40293563,40434556,40436350,40464803,40478128,40481154,40503729,40541124,40642845,40668740,40699318,40997042,41024219,41057843,41293394,41309003,41475443,41525219,41706753,41723603,41773019,41793448,41813149,42020288,42031754,42051683,42071605,42119245,42149483,42192120,42263219,42392723,42436444,42553883,42660085,42837200,42913034,42937403,43205642,43222019,43352368,43501381,43768019,43822030,43896136,43934642,43952963,43991697,44045003,44066334,44096764,44197763,44225234,44281470,44380019,44410283,44758876,44785883,44967205,45004928,45079992,45295048,45317963,45347219,45391043,45448662,45537894,45666923,45749884,45825323,46096643,46210019,46393163,46411526,46459048,46529234,46616245,46796843,46934483,47003003,47017629,47084963,47233568,47272824,47383019,47466135,47650619,47809375,48092902,48191850,48202163,48218725,48286902,48331403,48434219,48472643,48523620,48663683,48733630,48771414,48802488,49217354,49275203,49383153,49555619,49676219,49687996,49772123,50068523,50173096,50215270,50246053,50333642,50475083,50485926,50535793,50543094,50630544,50714991,50860643,50916563,50942948,50956929,50991484,51026642,51192102,51258803,51330376,51404640,51443219,51550619,51582683,51635963,51676820,51678443,51731363,51741923,51758528,51888923,52024019,52044683,52147523,52208843,52255048,52266429,52381019,52586436,52700221,52715085,52796483,52806203,52938076,52992957,53137764,53181927,53365523,53409448,53557883,53649445,53666219,53755619,53773403,53960646,54051045,54062219,54105550,54122363,54275219,54279181,54375683,54417203,54646019,54706634,54829283,54831616,54860723,54899843,54902799,55000619,55109042,55158693,55205603,55222321,55287443,55339019,55372646,55426523,55448219,55462643,55483336,55612163,55696019,55771645,55785563,55880483,55900619,55939494,56085083,56098019,56162219,56163085,56229424,56327341,56331563,56398883,56423123,56444733,56459243,56489123,56548513,56560019,56629763,56732219,56881043,56897219,56913323,56928788,56946253,56959362,56992763,57013643,57044723,57120124,57173380,57281521,57371250,57395689,57404363,57498443,57515963,57529019,57654448,57704243,57746673,57781576,57782723,57830220,57862470,57894443,57930083,57968363,58002323,58020434,58058219,58067843,58098200,58195019,58214843,58228344,58228763,58240456,58285043,58303019,58393763,58471019,58480356,58499219,58504643,58525619,58530683,58580219,58596683,58646219,58661723,58664219,58682219,58700003,58703219,58704563,58705883,58786929,58892533,59320754,59351836,59384085,59433805,59733070,60085629,60112045,60170350,60258324,60734474,60937276,61196000,61217156,61285413,61625042,61673896,61685568,61719968,61928209,62004554,62012184,62144830,62256842,62418753,62508554,62602900,63258102,63328837,63343024,63772924,64379334,64610949,64637896,64748042,64861254,64926660,64927045,65004273,65360475,65506887,65520513,65728394,66273916,66302180,66336434,66820274,66925974,67202989,67364296,67395702,67421834,67687477,68044456,68376842,68447164,68589205,68597133,68608056,68845500,69176776,69204914,69255104,69383133,69396264,69434964,69682684,69717840,69763707,70298716,70491914,70671153,70759336,70955594,71260902,71320566,71679684,71736100,72134454,72193990,72204420,72218834,72280585,72338084,72445756,72717633,72745293,72775640,72789448,72958825,73407697,73435200,73816645,73913354,73970716,74365696,74448661,74546637,74573796,74597073,74693042,74833369,75123480,75286030,75465674,75784833,76122314,76177633,76284453,76550013,77018048,77184063,77209958,77506216,77622493,77634314,77741234,77823873,77901916,77911992,77912454,77913645,77954642,78070797,78190645,78190989,78330880,78432570,78485642,78889030,79024585,79103780,79392577,79562616,79604253,80125885,80131712,80296924,80467630,80543445,80756533,80783590,80858056,80881874,81290834,81326840,81351790,81387988,81872595,81888129,82307046,82377436,82604042,82614600,83107888,83301074,83400074,83661408,83853061,84132190,84132325,84443836,84513915,84770954,84861256,85031782,85425805,85624693,85874350,85913008,86018642,86083320,86158982,86417133,86425045,86632788,86645304,86736702,86743189,86834468,87194493,87330768,87453080,87550590,87613514,87650991,87662524,88030345,88061973,88074674,88122240,88181416,88243996,88349642,88468870,88579974,88623016,89114044,89233329,89256842,89329233,89378817,89436554,89463517,89505448,89507943,89526194,89829733,90148176,90343236,90590642,90814825,90965313,91118005,91288754,91492695,91666645,91720394,91822208,92282044,92625841,92941425,93387296,93496374,93627645,93705853,93710524,93824594,93828774,93997056,94119084,94152914,94394109,94666836,94717400,94829502,94924536,95131804,95443154,95468913,95759954,95854885,96004270,96091048,96151062,96370582,96545884,96561156,96652134,96843735,96927434,96940308,96958045,97131166,97183048,97467375,97475967,97592208,97622148,97687754,98108894,98247114,98384715,98420413,98433674,98888977,99137520,99144616,99204093,99264813,99700893,99740042,99869488,...,13657433924099745437061739644543312043052829157088811470383664934769849705821806765953962536711437712234959296398064388997696018061009406221520660455737143356224285309529532348756624919635017577614128449299746664712730172764164515926166135727104168288962312303646207887327499611379041060911407815477849350201235308241187616703517974329721316321893438246282558640903413194990314639442646324350241809092455093996235132452848973750050135195583355485004271534916788127430455036698954003528000389686280093769467652669634316834332088438801511119326257168631345731769829823875868707161832099300427285058759664140548576652683952516226242954984296459437817276843753155667678842112883791400228841934158656185641039548436502730139282672060088975831253710159503357697374112366927683082323760510513400549304442980433898459453735887598479033311226585894409460184992863655676804417275388748117907332718015582581687501725055403803978457368100026849571118604207354117350787688298553375928214840024917833516039928194489646931399359729992505912578030140186398990097177674066761253101762384969007341359434275576314435818635596286937213696574649106228673090906604398978105547593945092773402071222276418639453078106921921180667681118824333439551442893700890226244649811314099141929547943605602434892100148876802778144229321016685356110976693153074092143923748542280336914320225483239041199761857511862419136483995761144219011393692074106043249435772365756551993900192769335804550839415183711912983379603023067379728839363690190098512184863222885814562859049748152186326949795919787738069055354237279356492250796709764019537589788136929903062983951342564352363121041274346630195780753333586192599387296621674784120967089149994852466970561559070693344081481872507707930529440131439435717374113033032517175078080898837337106152206382044904446756229171126952955554652889154096335563325519506034431082342095942553358798355203449469874120147165459978155780700144584404048889257313305501203017736879994659565670627887282573251411805771605916607958911863551593270072223254841820649627320269674525866088705191883900964028791446192686078350048710008419114158681002643850678762601439315806349324173292835581623906584376771740216699265489054497113778585978705448273743281385442288780856096709247288534747348713803755938089389218729197605049964298505286350112586403676944911713344805512165734805051121457544555297008875137516497661387734221446259083679215791813793143948561}
15325  1132281002274688782100174509357715753140837681479101605397072180: {122552,137871,535955,643146,765650,918780,980032,994955,1055631,1102536,1178639,1193946,1240353,1683770,2020524,2034767,2369795,2427771,2585531,2701551,2843754,2906810,3000172,3103667,3284555,3317279,3488172,3641162,3941466,4067211,4285960,4375514,4384499,4433810,4571411,4653995,4738970,4821705,4938347,5024159,5143152,5201660,5320572,5518607,5584794,5686764,5740125,5786046,6020195,6122800,6206522,6217739,6241992,6263570,6301967,6782331,6888150,7022241,7177370,7223183,7224234,7347360,7404716,7516284,7736234,7836755,7837184,7862331,8050979,8139443,8265780,8417627,8535371,8612844,8670063,8816832,8837042,8866460,9002810,9141626,9404106,9605459,9647555,9875402,9918936,10047002,10513451,10639752,10734107,10758419,10803372,10814511,10888223,11137672,11158803,11325146,11577066,11969721,12147771,12238523,12469871,12529881,13626287,13700795,13774442,13926479,14067443,14352860,14444474,14667743,14916525,15045395,15063122,15091151,15105532,15369170,15470444,15644291,15826972,15852171,15910960,16163066,16178780,16236539,16276754,16372907,16440954,16661939,17164911,17223432,17279195,17359499,17670345,17671772,17700746,17791994,17899830,18054474,18386284,18443004,18651386,18848368,18969167,18972842,19093152,19178579,19208402,19254063,19376361,19414536,19692232,19774191,19894970,20371514,20735034,20851859,21036125,21128171,21204414,21216239,21329391,21383123,21479796,21773594,21841353,21846063,22153761,22313039,22314506,22327331,22609960,22619451,22855727,23044955,23779754,23802770,23806442,23873964,23979599,24383882,24626524,24927951,25040963,25183371,25243350,25246355,25286780,25434899,25436205,25563208,25731947,25977626,26237785,26266120,26373525,26457231,26474954,26504099,26869883,26926240,27030952,27094739,27098810,27104060,27131952,27397970,27417611,27442874,27545276,27653946,27876155,28131760,28163747,28563324,28736571,28758609,28778474,28805603,29381404,29549385,29622155,29761043,29788370,29995311,30207112,30292020,30295626,30344136,30409821,30523446,30747963,30899567,31152604,31485342,31519344,31563884,31626479,31648230,31875770,32100731,32101883,32230355,32311488,32518572,32524872,32619371,32859866,32877564,33242763,33451386,33739131,33758112,33983001,34047611,34137153,34256570,34367339,34862147,35062216,35418362,35459262,35546586,35603243,35746044,35978476,36006431,36335570,36350424,36569267,36590481,36767752,36918105,36978395,37018223,37482550,37545443,37784714,37808306,37933322,37977876,38088851,38250924,38409119,38676426,38694155,38706770,39379312,39385263,39444993,39633167,39958523,39975059,39977195,40651667,40737692,40894227,40899722,41080971,41098634,41107884,41329372,41363721,41364074,41422043,41675656,41801099,42553244,42702177,42754787,42885645,43602684,43627139,43724271,43901459,43950125,44301726,44374074,44503720,44653955,44902091,44914079,44979060,45189467,45288712,45381491,45723167,45744688,46046642,46075432,46399034,46432986,46448124,46733267,46791503,46831811,46850834,46885113,46948106,46958325,47569283,47924745,47972634,47977664,48006107,48036047,48547919,49144043,49200746,49242525,49400751,49722376,49866412,50050307,50066685,50088880,50364842,50375279,50447642,50543195,50558879,50597660,50676405,50835925,50949801,50960399,51119728,51132266,51240242,51344732,51462774,51834861,52241810,52525360,52740150,53045555,53099644,53404464,53408392,53546500,53584746,53894354,53964659,53974872,54004972,54046226,54054832,54190460,54245231,54260661,54265611,54324314,54553103,54870170,54908243,55120955,55293962,55425146,55609004,55722314,55937673,55948595,56256160,56349990,56433887,56558159,56618810,56753819,56756111,57119567,57187355,57509694,57619034,58073810,58098506,58143611,58371506,58655596,58733714,58755112,58804931,58810251,58943759,59041960,59091030,59172122,59538899,59743826,59932911,60032049,60080022,60081647,60084441,60106656,60251642,60341039,60398699,60529679,60598216,60651834,60654525,60717192,60721731,60811686,61003110,61048977,61495563,61571786,61914419,61940091,62109995,62690172,62716370,62948723,63030432,63047631,63288180,63538442,63613091,63654666,63678685,63690767,63739355,63906671,64162970,64255800,64369551,64382536,64596025,64698160,64808463,65028552,65069984,65318810,65436251,65600027,65733045,65800883,65844204,65901963,66099501,66145146,66172595,66337851,66422205,66481082,66728171,66761810,67138314,67314568,67390792,67507392,67619988,67817939,67942572,68086226,68172993,68256136,68306841,68539520,68624826,68927867,69354170,69404666,69617289,69688572,69793851,70098842,70115248,70286780,70419674,70614554,70657276,70750799,70780979,70786607,70850352,70909236,71115851,71160985,71241539,71400155,71466725,71947528,72068060,72139353,72226970,72244559,72287775,72430353,72439211,72622750,72719402,72785430,72800570,73100445,73157121,73203732,73236623,73544924,73671779,73826031,74189795,74253599,74331491,74531994,74585992,74779946,75173882,75259644,75322905,75465611,75500463,75531194,75636143,75728889,75814641,75945816,75988154,76171595,76414422,76456943,76487226,76495000,76521445,76539963,76788153,76995564,77092370,77106960,77149960,77158739,77515230,77545139,77637792,77911307,77973808,78253625,78317267,78382572,78879654,78942026,79178780,79253834,79389491,79407114,79428239,79706646,79716155,80114172,80344432,80797370,80865362,80940969,81093923,81158325,81498443,81713884,82059951,82247424,82663563,82682912,82842395,82877725,83058969,83166842,83225004,83461307,83483123,83577371,83753891,83909241,84079667,84205370,84344136,84393482,84570419,85035167,85055570,85393182,85439043,85489106,85558955,85630571,85680186,85760070,85839112,85959242,86056875,86147932,86470970,86481672,86568880,86672364,86745330,86751539,86793705,87030651,87103355,87147300,87342516,87360684,87385802,87502691,87720534,87873395,87895979,88449170,88640666,88853039,88981131,89000594,89002043,89019866,89027754,89032979,89138497,89234632,89599605,89602079,89670125,89860936,90255525,90349283,90387486,90422605,90557195,90648481,90969550,90986810,91101711,91336466,91405914,91462844,91477408,91495439,91794000,91825734,91873439,92437563,92463395,92510844,92528352,92579952,92921642,92957120,93006831,93018276,93217245,93385263,93432659,93453962,93535739,93571667,93688223,93762831,93904350,94228204,94250522,94602443,94887153,95014536,95094088,95256563,95572912,95659386,95846507,96059402,96091931,96179272,96187547,96272560,96569001,96882770,96939434,96956844,96993724,97122063,97267643,97291881,97377395,97389990,97477091,97516559,97913600,98078099,98245583,98531339,98592591,98657903,98879725,98903087,99179867,99386399,99395516,99410874,99431728,99453270,99462764,99471194,99504651,99946259,...,18209911898799660582748986192724416057403772209451748627178219913026466274429075687938616715615250282979945728530752518663594690748012541628694213940982857808299047079372709798342166559513356770152171265732995552950306897018886021234888180969472224385283083071528277183103332815172054747881877087303799133601647077654916822271357299106295088429191250995043411521204550926653752852590195099133655745456606791994980176603798631666733513594111140646672362046555717503240606715598605338037333852915040125025956870226179089112442784585068681492435009558175127642359773098501158276215776132400569713411679552187398102203578603354968323939979061945917089702458337540890238456150511721866971789245544874914188052731248670306852376896080118634441671613546004476929832149822570244109765014014017867399072590640578531279271647850131305377748302114525879280246657151540902405889700518330823876443624020776775583335633407205071971276490800035799428158138943138823134383584398071167904286453366557111354719904259319529241865812973323341216770706853581865320129570232089015004135683179958676455145912367435085914424847461715916284928766198808304897454542139198637474063458593457031202761629701891519270770809229228240890241491765777919401923858267853634992866415085465522572730591474136579856133531835737037525639094688913808147968924204098789525231664723040449219093633977652054933015810015816558848645327681525625348524922765474724332581029821008735991866923692447739401119220244949217311172804030756506305119151586920131349579817630514419417145399664202915102599727893050317425407138983039141989667728946352026050119717515906537417311935123419136484161388365795506927707671111448256799183062162233045494622785533326469955960748745427591125441975830010277240705920175252580956498817377376689566770774531783116141536275176059872595674972228169270607406203852205461780751100692674712574776456127923404478397806937932626498826862887279970874374266859445872065185676417740668270690315839992879420894170516376764335215741028807888810611882484735457693429631006455760866169760359566034488118273589178534618705055261590248104466731613344558818878241336858467571683468585754408465765564390447442165208779169028986955599020652072662818371447971607264364991041847256385041141462278996384712996464951738341250785852291638930140066619064673715133483448538235926548951126407349554313073401495276726073729345166850021996881850312295261678778238954389085057525264748}
15326  1137350806376614849210476440882873076955340213804684671721364100: {107233,153190,183828,199069,290833,336886,520438,565693,857528,964719,1022353,1131238,1148475,1225040,1378170,1407508,1436038,1470048,1591928,1618726,1653804,1658653,1790919,1862086,1930273,2110993,2525655,2530006,2694032,2954038,3030786,3237028,3256438,3602068,3750215,3791672,3980566,4161238,4265631,4360215,4500258,4582246,4650896,4699069,4942486,5232258,5255288,5357450,5422948,5461743,5664913,5840566,5912199,5926813,6428940,6502075,6535393,6563271,6650715,6735046,6795133,6857536,7032406,7094096,7108455,7270006,7398673,7446392,7566646,7582352,7653500,7714728,7802490,7922086,7980858,8084113,8158726,8322656,8377191,8530146,8679069,8808166,9019069,9043108,9184200,9220438,9255895,9309783,9338086,9362988,9395355,9441169,9632312,9745463,9796480,9861469,10021712,10332225,10483108,10696669,10766055,10836351,10978438,11021040,11083075,11107074,11153446,11194333,11274426,11483792,11560084,11604351,11755776,11935969,11968246,12398670,12538808,12671773,12895606,12919266,13078033,13225248,13240033,13255563,13299690,13482493,13504215,13588438,13712439,13922090,14106159,14186336,14404496,14419348,14764669,14813103,14878404,14909926,15070503,15436088,15959628,15995206,16028413,16197028,16205058,16341469,16450438,16492322,16706508,16847926,16987719,17018038,17230703,17301238,17365599,17470966,17697046,17866438,17941075,18195613,18576673,18823606,18881915,19338055,19783715,19783969,19888700,20082913,20157469,20222806,20223475,20661663,21136228,21390406,21529290,21560353,21666711,21921272,21925213,22089715,22164886,22367807,22495846,22594683,22649533,22658298,22881238,22886548,22964576,22982855,23053755,23080669,23152273,23205666,23560460,23652083,23740458,23813926,23864353,23866440,24072632,24217693,24244599,24268170,24415131,24590672,24615290,24661431,24959686,25340038,25457536,25611238,25672084,25835148,25886048,26365588,26431223,26504593,26507658,26551119,26640673,26687991,26844253,26849745,26961238,26979613,27081711,27579426,27646712,27664506,27977079,28034038,28194406,28251169,28262450,28272552,28422251,28439188,28459263,28568038,28639728,28647313,28812603,29121804,29128084,29206726,29472166,29538348,29842455,29884669,30159268,30461713,30557271,30679439,30783155,31102551,31371526,31410493,31445359,31608475,31738438,31785469,31806621,31831952,31954010,32095969,32171783,32219694,32626246,32660391,32832650,33146326,33237268,33405766,33471759,33577828,33585539,33657800,33788690,33880075,33914940,33980893,34159633,34219069,34336438,34431595,34456898,34574173,34851238,35164700,35276308,35669631,35704155,35709663,35810946,36175936,36197053,36233206,36466199,36537469,36575823,36726755,36871928,36939786,37148038,37321693,37432573,37758890,37865025,37930170,38007286,38084432,38315428,38344812,38471569,38525533,38940755,38954653,38966439,39061213,39273469,39399180,39454855,39562246,39627623,39712431,39851233,39993748,40026602,40160038,40259446,40316003,40317469,40389360,40394168,40458848,40546428,40648215,40656090,40697928,40997284,41052406,41081569,41096955,41164311,41299366,41317914,41382673,41480919,41780113,41980456,42025792,42075169,42197640,42270433,42512893,42528166,42844986,43081984,43087453,43114438,43167711,43276669,43323793,43358096,43366496,43507079,43827770,43836752,43941046,43975969,44072106,44231686,44323684,44478493,44570038,44601848,44682555,44729762,44811238,44883169,44973095,44985508,45010816,45310668,45438030,45443439,45501073,45516204,45785169,45959690,46232413,46250038,46401469,46569373,46728906,46732343,47025169,47106406,47228013,47279016,47297978,47345826,47395448,47438038,47472345,47661392,47672593,47813655,48099194,48223969,48381238,48467232,48709846,48777858,48787308,48944086,49224140,49289799,49316346,49321213,49357969,49576993,49721569,49784038,50109286,50113213,50177079,50248438,50288353,50387446,50599069,50637168,50922115,51001232,51172438,51310486,51384855,51399133,51410723,51463933,51568568,51592669,51661715,51751969,51940753,52094570,52491553,52513684,52593324,52787473,52816669,53001238,53023439,53127543,53137366,53188893,53191555,53228038,53319879,53544886,53619066,53686033,53793169,53906038,53967714,54286333,54503355,54525636,54657313,54774628,54801169,54810512,55151628,55162006,55172113,55629650,55693969,55979233,56097169,56223825,56334719,56361238,56449606,56578273,56610890,56630653,56677071,56712459,56714326,56800573,56837066,56890486,56899983,56936236,56966814,57118813,57180860,57376386,57476113,57594290,57606433,57631633,57668893,57753313,57799969,57811126,57911569,58014639,58060155,58113169,58136912,58150033,58203526,58211773,58278013,58299028,58332193,58354333,58467553,58540093,58596253,58612669,58648669,58679953,58705693,58713469,58717969,58720993,58900247,58966943,59068968,59165432,59381699,59502166,59631238,59724119,59972080,60664967,60786406,60999046,61106538,61126438,61349583,61350842,61423126,61647951,61661826,61676806,61910648,61930832,61994058,62046111,62152970,62333015,62392438,62513484,62611100,62954087,63247075,63829866,63899660,63963512,64148123,64180915,64181926,65004166,65262743,65404026,65656700,65867668,66374555,66452589,66561111,66589126,66755580,66760490,66933125,67468590,67506215,67568540,67592326,67696343,67712038,67738075,67831606,67911238,67933068,68227082,68387686,68427286,68617032,68980006,69069963,69113148,69511255,69598551,69649479,69672186,69686038,70076038,70276251,70301378,70320200,70422159,70774006,70851238,71121046,71205952,71446328,71811238,71958951,71966496,72116326,72347548,72354148,73319495,73443890,73801119,73802450,73962646,74371846,74583564,74799618,74843171,75074086,75109223,75133320,75478006,75547263,75671463,75719743,75747770,75896490,76171126,76679592,76698399,76860363,76930486,77002438,77017098,77194161,77253766,77896438,78080303,78362715,78413668,78498646,78533926,78628319,78788040,79110225,79584886,79649466,79910548,79994291,80042732,80104966,80106696,80112588,80142208,80319750,80377119,80478170,80587126,80841531,80869112,80872700,80929606,80956256,80962308,81007458,81069339,81082248,81285690,81337480,81398636,81486471,81994084,82048438,82115686,82305255,82586788,82618006,82803787,82940943,82950886,83050438,83137719,83207327,83413506,83447206,83546038,83583471,83586896,83626298,84040576,84063508,84103366,84143210,84156863,84238490,84298966,84384240,84524985,84526438,84785446,84872888,84928215,85107766,85320170,85674400,85826068,85874806,86264541,86411284,86428551,86444038,86704736,86754551,87002762,87110715,87147759,87536038,87557259,87644060,87792272,87858475,87869284,87905926,87983394,88090006,88100571,88132668,88193528,88321595,88395526,88450468,88562940,88636545,88758183,88760038,88820566,88850311,89517752,89571766,89615739,89934410,90009856,90085075,90120033,90159984,90377463,90590096,90635926,90694438,90782086,90897324,90897863,90977751,91075788,91217529,91333846,91499768,91504665,91650646,91931155,92193286,92357679,92420038,92786326,92823052,92918096,93058468,93232490,93593686,93718127,93827591,93868966,94006006,94035258,94074555,94169926,94467136,94545648,94766038,94932270,95301238,95307663,95439539,95481999,95618750,96024887,96185804,96244455,96383700,96404326,96437450,96573804,96662806,96868438,96945286,97047240,97327366,97467260,97542828,97604976,97978215,98434708,98550406,98766306,98973475,99111238,99217719,99352438,99375992,99544246,99721623,...,27314867848199490874123479289086624086105658314177622940767329869539699411643613531907925073422875424469918592796128777995392036122018812443041320911474286712448570619059064697513249839270035155228256898599493329425460345528329031852332271454208336577924624607292415774654999222758082121822815630955698700402470616482375233407035948659442632643786876492565117281806826389980629278885292648700483618184910187992470264905697947500100270391166710970008543069833576254860910073397908007056000779372560187538935305339268633668664176877603022238652514337262691463539659647751737414323664198600854570117519328281097153305367905032452485909968592918875634553687506311335357684225767582800457683868317312371282079096873005460278565344120177951662507420319006715394748224733855366164647521021026801098608885960867796918907471775196958066622453171788818920369985727311353608834550777496235814665436031165163375003450110807607956914736200053699142237208414708234701575376597106751856429680049835667032079856388979293862798719459985011825156060280372797980194355348133522506203524769938014682718868551152628871637271192573874427393149298212457346181813208797956211095187890185546804142444552837278906156213843842361335362237648666879102885787401780452489299622628198283859095887211204869784200297753605556288458642033370712221953386306148184287847497084560673828640450966478082399523715023724838272967991522288438022787384148212086498871544731513103987800385538671609101678830367423825966759206046134759457678727380380197024369726445771629125718099496304372653899591839575476138110708474558712984501593419528039075179576273859806125967902685128704726242082548693260391561506667172385198774593243349568241934178299989704933941123118141386688162963745015415861058880262878871434748226066065034350156161797674674212304412764089808893512458342253905911109305778308192671126651039012068862164684191885106717596710406898939748240294330919956311561400289168808097778514626611002406035473759989319131341255774565146502823611543211833215917823727103186540144446509683641299254640539349051732177410383767801928057582892385372156700097420016838228317362005287701357525202878631612698648346585671163247813168753543480433398530978108994227557171957410896547486562770884577561712193418494577069494697427607511876178778437458395210099928597010572700225172807353889823426689611024331469610102242915089110594017750275032995322775468442892518167358431583627586287897122}
15327  1142443130044121928210085570417525494846189181557718686620115025: {229785,245104,275742,505329,750337,780657,1071910,1286292,1392937,1531300,1696857,1759385,1837560,1960064,1989910,2067255,2111262,2154057,2205072,2357278,2387892,2428089,2480706,2793129,2860913,3317713,3367540,3795009,4041048,4046285,4069534,4431057,4502585,4546179,4598377,4739590,4855542,4876553,4884657,5171062,5403102,5519329,5687508,5813620,5970849,5977217,6000344,6207334,6241857,6515593,6569110,6634558,6750387,6778685,6873369,6976344,7282324,7348237,7413729,7848387,7882932,7894073,8036175,8134422,8428273,8536489,8571920,8751028,8760849,8768998,8867620,8898329,8998153,9142822,9307990,9477940,9566875,9643410,9876694,10048318,10102569,10286304,10403320,10548609,10641144,10642493,10735513,10905009,10971457,11037214,11169588,11303885,11349969,11373528,11480250,11572092,11703735,11883129,11971287,12040390,12195137,12238089,12245600,12413044,12435478,12483984,12527140,12603934,12795219,12841229,13103885,13212249,13506577,13564662,13776300,13830657,13907729,14007129,14044482,14354740,14393009,14446366,14448468,14450105,14463709,14694720,14809432,14907233,15032568,15472468,15673510,15674368,15724662,16101958,16278886,16467657,16531560,16660611,16730169,16835254,16911639,17070742,17225688,17340126,17502073,17633664,17674084,17732920,17952369,18005620,18024185,18283252,18598005,18808212,19181113,19188637,19210918,19295110,19343409,19378899,19401793,19750804,19837872,19949535,20094004,20246285,20382657,20883135,21026902,21063553,21279504,21468214,21485297,21516838,21606744,21629022,21776446,22275344,22317606,22364889,22650292,23154132,23939442,23992809,24190873,24295542,24307587,24477046,24675657,24738483,24860875,24875489,24939742,25059762,25073737,25271889,25527057,25951857,26206449,26420285,26545569,26799657,27252574,27401590,27548884,27828713,27852958,28134886,28180609,28235409,28608185,28705720,28888948,29335486,29450575,29804753,29833050,30090790,30126244,30182302,30211064,30334209,30738340,30940888,31288582,31352393,31477129,31653944,31704342,31821920,32085609,32090105,32262937,32293935,32326132,32357560,32473078,32553508,32745814,32881908,32956985,33101309,33247329,33323878,33649697,33743769,33987447,34321857,34329822,34446864,34558390,34718998,34808499,35337917,35340690,35343544,35344897,35401492,35548985,35583988,35610687,35720889,35799660,36108948,36402255,36410105,36732899,36772568,36834113,36886008,36922935,37266433,37302772,37439529,37696736,37699085,37930457,37938334,37938589,37945684,38010057,38186304,38357158,38402813,38416804,38416857,38508126,38657729,38752722,38829072,39026617,39384464,39548382,39637433,39761487,39789940,40441857,40743028,41101117,41369139,41470068,41471017,41496759,41546585,41703718,41972285,42051057,42072250,42256342,42291609,42393675,42408828,42432478,42658782,42766246,42852057,42959592,43547188,43548329,43682706,43692126,43748809,43810089,43840177,43955875,44095385,44208249,44307522,44517917,44626078,44629012,44654662,45122497,45219920,45238902,45703393,45711454,45716249,46043633,46089910,47057289,47223709,47559508,47605540,47607657,47612884,47747928,47894285,47931015,47959198,48329541,48511249,48767764,48939369,49248975,49253048,49719489,49855902,49992185,50081926,50108649,50366742,50486700,50492710,50573560,50683035,50869798,50872410,51126416,51246605,51316873,51463894,51504657,51685347,51769753,51955252,52276857,52475570,52532240,52747050,52914462,52949908,53008198,53716419,53739766,53852480,54061904,54171817,54189478,54197620,54208120,54263904,54349809,54527677,54795940,54835222,54885748,55090552,55299049,55307892,55404605,55409679,55722057,55752310,55968073,56231885,56263520,56327494,56638335,56895255,57010929,57126648,57136673,57473142,57517218,57556948,57611206,57877657,58141217,58205297,58762808,59065193,59098770,59244310,59343369,59522086,59576740,59719997,59990622,60039903,60206249,60234653,60240057,60389169,60414224,60584040,60591252,60688272,60819642,60984135,61046892,61495926,61530175,61578609,61799134,61949049,61976871,62118313,62305208,62515537,62970684,63038688,63127768,63252958,63296460,63344977,63751540,63792249,64201462,64203766,64267479,64460710,64471849,64622976,64671657,65037144,65049744,65238742,65458829,65642105,65719732,65741655,65755128,65766557,65911569,66108159,66347529,66485526,66855057,66902772,67094643,67216857,67478262,67516224,67654429,67966002,68095222,68157045,68201377,68274306,68449817,68468285,68513140,68660273,68734678,68939535,69375057,69724294,70093359,70124432,70296509,70659609,70760473,70836724,70918524,70946967,71018739,71093172,71157057,71170295,71206486,71312137,71476075,71492088,71956952,72012862,72148791,72571857,72671140,72700848,72873785,73064769,73138534,73166787,73180962,73186153,73279433,73416129,73428113,73535504,73681513,73836210,73956790,73974519,74036446,74263777,74279617,74676057,74799677,74965100,75090886,75163929,75372657,75569428,75581169,75616612,75866644,75955752,76177702,76305017,76501848,76758657,76818238,76965729,77169337,77352852,77388310,77413540,78141855,78263875,78328033,78717017,78758624,78770526,78889986,79108153,79266334,79501857,79706049,79842057,79874575,79917046,79950118,79954390,80062297,80317329,80428599,80859057,80951571,81221069,81303334,81475384,81788454,81799444,81960329,82070875,82161942,82197268,82215768,82334585,82658744,82727442,82728148,82743009,82844086,83351312,83444475,83602198,83677673,84460675,84541857,84581593,84674409,84916335,85071489,85091933,85106488,85255599,85335729,85404354,85450221,85509574,85771290,86064579,86272013,86391435,86716689,86900969,86953993,87205368,87254278,87305289,87448542,87802918,87900250,88603452,88748148,89007440,89150159,89235097,89253249,89307910,89388169,89414489,89446857,89756957,89804182,89828158,89958120,90378934,90428393,90434435,90442685,90577424,90762982,90799229,91179609,91245953,91365329,91446334,91489376,91498569,91659807,91689657,92026263,92093284,92134689,92150864,92301473,92471933,92492739,92515209,92641633,92798068,92865972,92896248,92991087,93229455,93272393,93466534,93583006,93588657,93663622,93701668,93770226,93869737,93896212,93916650,95138566,95711393,95744799,95849490,95945268,95955328,96012214,96038129,96072094,96272889,96970313,97095838,97506249,98017085,98106039,98288086,98401492,98485050,98801502,99444752,99625379,99732824,99762113,99883689,99888185,99960217,...,40972301772299236311185218933629936129158487471266434411150994804309549117465420297861887610134313136704877889194193166993088054183028218664561981367211430068672855928588597046269874758905052732842385347899239994138190518292493547778498407181312504866886936910938623661982498834137123182734223446433548050603705924723562850110553922989163948965680314738847675922710239584970943918327938973050725427277365281988705397358546921250150405586750066455012814604750364382291365110096862010584001169058840281308402958008902950502996265316404533357978771505894037195309489471627606121485496297901281855176278992421645729958051857548678728864952889378313451830531259467003036526338651374200686525802475968556923118645309508190417848016180266927493761130478510073092122337100783049246971281531540201647913328941301695378361207662795437099933679757683228380554978590967030413251826166244353721998154046747745062505175166211411935372104300080548713355812622062352052363064895660127784644520074753500548119784583468940794198079189977517737734090420559196970291533022200283759305287154907022024078302826728943307455906788860811641089723947318686019272719813196934316642781835278320206213666829255918359234320765763542003043356473000318654328681102670678733949433942297425788643830816807304676300446630408334432687963050056068332930079459222276431771245626841010742960676449717123599285572535587257409451987283432657034181076222318129748307317097269655981700578308007413652518245551135738950138809069202139186518091070570295536554589668657443688577149244456558980849387759363214207166062711838069476752390129292058612769364410789709188951854027693057089363123823039890587342260000758577798161889865024352362901267449984557400911684677212080032244445617523123791588320394318307152122339099097551525234242696512011318456619146134713340268687513380858866663958667462289006689976558518103293247026287827660076395065610348409622360441496379934467342100433753212146667771939916503609053210639983978697011883661847719754235417314817749823876735590654779810216669764525461948881960809023577598266115575651702892086374338578058235050146130025257342476043007931552036287804317947419047972519878506744871719753130315220650097796467163491341335757936116344821229844156326866342568290127741865604242046141411267814268167656187592815149892895515859050337759211030834735140034416536497204415153364372633665891026625412549492984163202664338777251037647375441379431845683}
15328  1147558072510384234065894526215191015396374666537591352132537523: {214466,306380,367656,398138,413613,443671,581666,626767,673772,900871,1040876,1131386,1537927,1607865,1715056,1914125,1929438,2044706,2262476,2296950,2450080,2531887,2711671,2756340,2815016,2872076,2891167,2940096,2980807,2984865,3166893,3183856,3237452,3307608,3317306,3427927,3535917,3581838,3721059,3724172,3784327,3860546,4209425,4221986,4670287,5051310,5060012,5250301,5373871,5388064,5811271,5908076,6061572,6104301,6420607,6474056,6512876,6680671,6853687,7109385,7204136,7267025,7283313,7500430,7583344,7756593,7961132,8104653,8227447,8322476,8397871,8531262,8652967,8720430,9000516,9102905,9164492,9301792,9311001,9398138,9666871,9853665,9884972,9951837,10253527,10464516,10510576,10714900,10845896,10923486,10938785,11084525,11329826,11681132,11745871,11824398,11847425,11853626,12156271,12201633,12727807,12857880,12958253,13004150,13070786,13126542,13153497,13301430,13470092,13538167,13590266,13714233,13715072,13961985,14064812,14188192,14216910,14465115,14540012,14797346,14815041,14892784,15072477,15133292,15164704,15307000,15429456,15516305,15604980,15658925,15844172,15961716,16168226,16317452,16317727,16555821,16645312,16754382,17060292,17220375,17358138,17616332,17943127,17943425,18038138,18060585,18086216,18368400,18440876,18477871,18511790,18619566,18653217,18676172,18725976,18790710,18882338,18905901,19009087,19264624,19340585,19490926,19592960,19722938,19836727,20043424,20135527,20346993,20581567,20664450,20729671,20966216,21066723,21393338,21532110,21612247,21669549,21672702,21956876,22042080,22049647,22092605,22166150,22194871,22214148,22306892,22388666,22412167,22507025,22548852,22854065,22967584,23120168,23208702,23274871,23510265,23511552,23586993,23871938,23936492,24152937,24418329,24688505,24797340,25077616,25117505,25178047,25247527,25252881,25343546,25593847,25606113,25791212,25838532,25869607,26010189,26156066,26434681,26450496,26480066,26511126,26599380,26622007,26964986,27008430,27073277,27176876,27424878,27432871,27633967,27697201,27767671,27844180,27901087,28212318,28233367,28312865,28372672,28808992,28816377,28838696,28942665,28958047,29529338,29626206,29756808,29819852,30141006,30872176,30925601,31142887,31205887,31449473,31540353,31919256,31990412,32056826,32175997,32202321,32275257,32394056,32410116,32443533,32664669,32682938,32900876,32984644,33413016,33476409,33589933,33666847,33695852,33966367,33975438,34036076,34436105,34461406,34602476,34731198,34941932,34971271,35088127,35144813,35394092,35436967,35732876,35882150,35909163,36111185,36297727,36391226,36443313,36715569,36974671,37153346,37162697,37409613,37589643,37647212,37657805,37763830,37806271,38422925,38513887,38676110,38889871,38996647,39315247,39567430,39567938,39777400,40100407,40165826,40203871,40314938,40407665,40445612,40446950,40461271,40691885,40878861,41071687,41102385,41323326,41622127,41721271,41779437,42202329,42272456,42780812,42792847,43058580,43096417,43120706,43333422,43643671,43842544,43850426,44003229,44179430,44251865,44329772,44425807,44479985,44696887,44735614,44749575,44786671,44991692,45136185,45189366,45273453,45299066,45316596,45363247,45668671,45762476,45773096,45929152,45965710,46107510,46161338,46304546,46411332,46437847,46628465,46813687,46932873,47019967,47120920,47142871,47224447,47304166,47432105,47480916,47556513,47627852,47728706,47732880,47747671,48021005,48024367,48145264,48204233,48435386,48489198,48536340,48605407,48709617,48830262,49021207,49118721,49181344,49230580,49322862,49574167,49737425,49919372,49985817,50075647,50528671,50680076,50915072,50928785,50936047,51222476,51300367,51344168,51417457,51494733,51670296,51772096,51837585,51846271,52065007,52078497,52401607,52611271,52731176,52846567,52862446,52962487,53009186,53011035,53015316,53102238,53281346,53375982,53552167,53606671,53606993,53688506,53699490,53795167,53922476,53927647,53953927,53959226,54163422,54433985,54517057,54636271,54684727,55038967,55158852,55236797,55288447,55293424,55329012,55442671,55486087,55507687,55614607,55786265,55924567,55954158,56068076,56122207,56256271,56293927,56388812,56502338,56524900,56545104,56790871,56840767,56844502,56873671,56878376,56907501,56918526,56922487,56954671,57033871,57136076,57279456,57294626,57360967,57430447,57535737,57564007,57625206,57726871,57762189,57809527,57843871,57974767,58036327,58129083,58151671,58239871,58243608,58256168,58413452,58428871,58531687,58563007,58691527,58705567,58709671,58944332,59076696,59322573,59449385,59506925,59516105,59684910,59769338,60318536,60923426,60959705,61114542,61358878,61566310,62205102,62555577,62743052,62820986,62890718,62962333,63108375,63216950,63384513,63476876,63570938,63613242,63648717,63663904,63908020,63988173,64149369,64191938,64343566,64439388,64944065,65252492,65320782,65524059,65538189,65665300,65706377,66187385,66292652,66461283,66474536,66811532,66939117,66943518,66981993,67155656,67171078,67315600,67577380,67747025,67760150,67829880,67858353,67961786,68319266,68359313,68438138,68494925,68567181,68607185,68672876,68863190,68913796,69134865,69148346,69702476,70329400,70552616,71290961,71339262,71408310,71419326,71621892,71694961,71938797,71946185,72326401,72351872,72394106,72466412,72932398,73074938,73151646,73453510,73743856,73879572,74296076,74468177,74470925,74643386,74783853,74865146,75055901,75122889,75517780,75550113,75730050,75739065,75860340,76014572,76168864,76304697,76308615,76630856,76689624,76943138,77051066,77195841,77881510,77909306,77932878,78122426,78546938,78713355,78798360,78909710,79120575,79124492,79255246,79371693,79413389,79424862,79512297,79689425,79702466,79987496,80004769,80053204,80320076,80518892,80609649,80632006,80634938,80778720,80788336,80917696,81092856,81284217,81296430,81312180,81395856,81994568,82104812,82149665,82163138,82193910,82252833,82328622,82598732,82635828,82765346,82814633,82961838,83560226,83628465,83960912,84051584,84150338,84395280,84491241,84540866,85025786,85056332,85641425,85689972,86163968,86174906,86209713,86228876,86275827,86335422,86416809,86553338,86647586,86716192,86732992,86777933,87014158,87266221,87655540,87673504,87882092,87951938,88144212,88463372,88514393,88545905,88647368,88648155,88861949,88866465,88956986,89140076,89203696,89283129,89365110,89459524,89486969,89622476,89766338,89853281,89946190,89971016,89985933,90021632,90621336,90838925,90876060,90886878,91002146,91032408,91229463,91570338,91919380,92243889,92464826,92500076,92545409,92698701,92802938,92924377,93138746,93457812,93464686,93706375,94050338,94212812,94456026,94461785,94508701,94520765,94558032,94595956,94691652,94790896,94833305,94876076,94879437,94944690,95322784,95345186,95627310,96198388,96302193,96305649,96447938,96691065,96762476,96766925,96934464,97315757,97419692,97555716,97574616,97858113,97859021,97888172,98448280,98579598,98632692,98642426,98715938,99153986,99443138,99568076,99728289,...,54629735696398981748246958578173248172211316628355245881534659739079398823287227063815850146845750848939837185592257555990784072244037624886082641822948573424897141238118129395026499678540070310456513797198986658850920691056658063704664542908416673155849249214584831549309998445516164243645631261911397400804941232964750466814071897318885265287573752985130234563613652779961258557770585297400967236369820375984940529811395895000200540782333421940017086139667152509721820146795816014112001558745120375077870610678537267337328353755206044477305028674525382927079319295503474828647328397201709140235038656562194306610735810064904971819937185837751269107375012622670715368451535165600915367736634624742564158193746010920557130688240355903325014840638013430789496449467710732329295042042053602197217771921735593837814943550393916133244906343577637840739971454622707217669101554992471629330872062330326750006900221615215913829472400107398284474416829416469403150753194213503712859360099671334064159712777958587725597438919970023650312120560745595960388710696267045012407049539876029365437737102305257743274542385147748854786298596424914692363626417595912422190375780371093608284889105674557812312427687684722670724475297333758205771574803560904978599245256396567718191774422409739568400595507211112576917284066741424443906772612296368575694994169121347657280901932956164799047430047449676545935983044576876045574768296424172997743089463026207975600771077343218203357660734847651933518412092269518915357454760760394048739452891543258251436198992608745307799183679150952276221416949117425969003186839056078150359152547719612251935805370257409452484165097386520783123013334344770397549186486699136483868356599979409867882246236282773376325927490030831722117760525757742869496452132130068700312323595349348424608825528179617787024916684507811822218611556616385342253302078024137724329368383770213435193420813797879496480588661839912623122800578337616195557029253222004812070947519978638262682511549130293005647223086423666431835647454206373080288893019367282598509281078698103464354820767535603856115165784770744313400194840033676456634724010575402715050405757263225397296693171342326495626337507086960866797061956217988455114343914821793094973125541769155123424386836989154138989394855215023752357556874916790420199857194021145400450345614707779646853379222048662939220204485830178221188035500550065990645550936885785036334716863167255172575794244}
15329  1152695733442364606211462365717676651609534651236192719877286808: {15329,321699,382975,459570,490208,551484,597207,842215,872499,1010658,1301095,1500674,1561314,1697079,1852147,2143820,2463139,2572584,2785874,2828095,2894157,3062600,3067059,3197491,3381079,3393714,3445425,3518770,3590095,3675120,3920128,3979820,4046815,4134510,4222524,4308114,4410144,4655215,4714556,4775784,4856178,4877191,4961412,4975959,5212867,5372757,5586258,5664799,5721826,5763199,5790819,5977999,6303619,6325015,6332979,6635426,6680419,6735080,6889927,7385095,7576965,7590018,7895107,8082096,8092570,8139068,8141095,8862114,9005170,9092358,9196754,9329359,9479180,9490159,9711084,9753106,9769314,9903091,9951415,10189759,10342124,10403095,10516207,10643887,10806204,11038658,11161639,11250645,11375016,11455615,11627240,11894551,11941698,11954434,12000688,12356215,12414668,12483714,12796893,12842911,12993919,13031186,13080645,13138220,13269116,13393625,13500774,13557370,13629859,13726831,13746738,13748359,13952688,14097207,14564648,14601415,14696474,14827458,15095107,15696774,15765864,15788146,15825439,16072350,16268844,16377199,16385229,16436407,16494979,16837615,16856546,16906087,16994739,17072978,17143840,17502056,17521698,17537996,17581015,17617639,17735240,17736597,17780439,17796658,17996306,18142951,18175015,18285644,18345439,18395887,18615980,18916615,18955880,19133750,19286820,19506225,19606179,19689813,19753388,19805215,19952145,20096636,20205138,20230147,20385399,20396815,20457919,20572608,20806640,21097218,21282288,21284986,21325365,21471026,21810018,21884467,21942914,22020415,22074428,22196019,22339176,22607770,22699938,22747056,22960500,23051095,23144184,23345215,23407470,23766258,23942574,24012979,24080780,24252339,24390274,24476178,24491200,24826088,24870956,24967968,25054280,25131573,25207868,25233859,25576207,25590438,25682458,26037207,26077351,26183047,26207770,26424498,27013154,27057207,27129324,27446095,27552600,27661314,27667459,27767685,27815458,27883615,27929349,28014258,28088964,28186065,28323507,28344799,28709480,28786018,28892732,28896936,28900210,28927418,29197279,29236389,29369407,29389440,29584407,29597719,29618864,29808691,29814466,29920615,30065136,30137767,30944936,30996675,31149199,31347020,31348736,31449324,32090007,32203916,32235559,32239015,32298165,32509053,32557772,32767207,32888479,32935314,33063120,33249225,33253639,33321222,33460338,33514627,33582999,33670508,33823278,33971095,34141484,34451376,34680252,34716007,34805225,34813053,35004146,35063347,35223799,35267328,35348168,35465840,35807907,35853799,35904738,36011240,36048370,36566504,36627319,36988399,37196010,37274815,37404739,37616424,37682227,38015319,38082727,38362226,38377274,38421836,38590220,38630899,38686818,38757798,38803586,38918287,39234099,39486607,39495319,39501608,39675744,39720099,39766689,39899070,39969127,39988015,40051459,40188008,40447479,40492570,40512645,40765314,41126095,41137317,41230805,41766270,41977879,42053804,42119815,42127106,42318477,42545095,42559008,42577447,42920791,42936428,42970594,43033676,43213488,43253095,43258044,43552892,43677415,44242615,44294007,44296687,44439309,44517871,44523799,44550688,44635212,44666095,44729778,44926147,45211509,45300584,45686407,46139779,46308264,46558087,46844239,47059015,47143879,47583559,47878884,47985618,48085239,48381746,48591084,48615174,48954092,49024407,49097887,49351314,49476966,49721750,49750978,49755319,49767799,49768579,49879484,50119524,50147474,50543778,50557015,50963157,50974147,51054114,51460531,51466207,51692109,51903714,52096797,52412898,52778719,52840570,53091138,53476015,53599314,53823225,54167287,54505148,54586839,54703039,54803180,55097768,55412215,55461151,55657426,55705916,55730019,55882159,56239615,56269772,56361218,56470818,56645745,57203095,57216370,57411440,57465991,57777896,58014165,58148899,58165219,58670972,58718119,58761199,58901150,59291299,59351145,59351907,59534815,59609506,59666100,60181580,60248739,60252488,60357187,60364604,60422128,60472407,60668418,60670425,61113991,61241599,61476680,61538225,61733539,61881776,61984989,62280691,62399215,62577164,62704786,62889367,62954258,63307888,63350095,63408684,63552319,63643840,63668611,63881191,64028095,64171218,64180210,64265287,64388767,64525874,64587870,64652264,64681059,64715120,64946156,65000133,65052979,65107016,65491628,65763816,65775639,65913970,66202618,66269145,66337471,66494658,66647756,66745879,66834007,67051999,67103421,67299394,67403095,67487538,67525159,67784049,67948599,67974894,68643714,68659644,68893728,68948565,68988007,69116780,69144739,69161265,69242007,69437996,69456819,69616998,69804319,69973231,69989059,70085095,70486015,70579267,70656125,70675834,70681380,70687088,70689794,70802984,70956249,71097970,71167976,71221374,71420095,71441778,71552599,71593059,71599320,71637079,71745247,71803087,71850691,72217896,72653079,72733797,72804510,72820210,73016815,73245393,73437991,73465798,73485367,73503799,73545136,73668226,73680415,73725607,73772016,73845870,73984293,74370739,74532866,74605544,74879058,75393472,75398170,75860914,75876668,75877178,75891368,76020114,76289587,76372608,76557667,76714316,76805626,76833608,76833714,77016252,77315458,77360707,77505444,77566447,77658144,77731279,78053234,78333187,78428815,78493111,78724639,78768928,78943327,79096764,79274866,79293669,79346095,79410559,79449667,79513779,79522974,79579880,79653357,79885025,79922019,80063973,80080627,80532759,80549235,80776207,80883714,80938839,81143959,81245133,81486056,81565615,82081625,82202234,82738278,82829407,82865815,82940136,82942034,82993518,83093170,83407436,83514415,83599639,83931237,83944570,84102114,84144500,84471725,84512684,84553879,84583218,84753507,84787350,84801607,84817656,84864956,85266753,85317564,85377789,85532492,85704114,85841095,85919184,85941939,86142245,86334151,86437809,86778679,86835079,87094376,87096658,87128095,87147871,87365412,87384252,87497618,87620178,87680354,87911750,88190770,88416498,88615044,88877107,89035834,89242759,89252156,89258024,89309324,89448547,89527365,89654007,90244994,90439840,90476599,90477804,90583015,91385139,91406786,91422908,91432498,91671813,91898947,91933207,92038317,92087266,92179820,92221807,92349465,92484151,92625907,92870095,93307653,93561127,93713167,94114578,94231479,94336077,94397225,94447418,94728199,94825425,95018215,95118067,95119016,95211080,95215314,95225768,95356407,95419863,95495856,95788570,95855599,95862030,95918396,96287907,96515349,96659082,96862207,96982759,97022498,97202719,97294087,97398247,97500391,97502959,97535528,97878738,97981173,98497950,98506096,98685799,98905615,98955847,99225559,99438978,99638413,99711804,99984370,...,81944603544598472622370437867259872258316974942532868822301989608619098234930840595723775220268626273409755778388386333986176108366056437329123962734422860137345711857177194092539749517810105465684770695798479988276381036584987095556996814362625009733773873821877247323964997668274246365468446892867096101207411849447125700221107845978327897931360629477695351845420479169941887836655877946101450854554730563977410794717093842500300811173500132910025629209500728764582730220193724021168002338117680562616805916017805901005992530632809066715957543011788074390618978943255212242970992595802563710352557984843291459916103715097357457729905778756626903661062518934006073052677302748401373051604951937113846237290619016380835696032360533854987522260957020146184244674201566098493942563063080403295826657882603390756722415325590874199867359515366456761109957181934060826503652332488707443996308093495490125010350332422823870744208600161097426711625244124704104726129791320255569289040149507001096239569166937881588396158379955035475468180841118393940583066044400567518610574309814044048156605653457886614911813577721623282179447894637372038545439626393868633285563670556640412427333658511836718468641531527084006086712946000637308657362205341357467898867884594851577287661633614609352600893260816668865375926100112136665860158918444552863542491253682021485921352899434247198571145071174514818903974566865314068362152444636259496614634194539311963401156616014827305036491102271477900277618138404278373036182141140591073109179337314887377154298488913117961698775518726428414332125423676138953504780258584117225538728821579418377903708055386114178726247646079781174684520001517155596323779730048704725802534899969114801823369354424160064488891235046247583176640788636614304244678198195103050468485393024022636913238292269426680537375026761717733327917334924578013379953117036206586494052575655320152790131220696819244720882992759868934684200867506424293335543879833007218106421279967957394023767323695439508470834629635499647753471181309559620433339529050923897763921618047155196532231151303405784172748677156116470100292260050514684952086015863104072575608635894838095945039757013489743439506260630441300195592934326982682671515872232689642459688312653732685136580255483731208484092282822535628536335312375185630299785791031718100675518422061669470280068833072994408830306728745267331782053250825098985968326405328677554502075294750882758863691366}
15330  1157856212942695645322291473055148602576272649387606699309458646: {168509,260321,352061,428932,474269,612760,626849,657341,689355,735312,796276,809681,827226,887342,900989,931409,1022621,1083389,1163332,1253534,1347544,1356449,1477601,1515987,1568381,1719521,1801742,1991069,2081441,2081752,2251011,2262772,2341971,2382161,2679775,2741969,2891549,2921441,3011069,3075854,3215730,3368861,3430112,3458129,3606749,3828250,3858876,3873761,4051409,4089412,4169681,4178811,4524952,4593900,4700321,4759121,4900160,4974775,5063774,5090571,5199101,5278155,5423342,5512680,5578961,5630032,5666429,5724701,5744152,5782334,5880192,5893195,5961614,5969730,5986529,6201765,6333786,6367712,6450401,6462171,6474904,6537149,6594941,6615216,6634612,6854609,6855854,6883421,7071834,7113629,7163676,7228541,7284267,7400669,7442118,7448344,7457981,7543889,7568654,7721092,8086301,8313821,8379387,8418850,8427389,8443972,8512481,8582739,8739041,8823869,8936861,9021521,9077921,9275069,9340574,9499901,9696209,9864161,9920081,9953139,10102620,10115549,10120024,10173835,10254929,10366289,10500602,10747742,10776128,10782749,11197409,11252561,11385027,11445341,11582801,11622542,11774909,11816152,11848975,11993981,12123144,12138855,12208602,12729569,12744067,12756701,12841214,12927655,12948112,13025752,13081661,13135709,13243709,13293171,13361342,13378529,13507755,13540049,13638537,13707374,13795131,14103101,14218770,14408272,14449889,14534050,14566626,14629659,14653971,14980769,15000860,15166688,15314299,15482141,15513186,15518335,15771089,15922264,15954461,16209306,16346081,16422775,16454894,16557987,16580189,16586395,16644952,16709969,16787741,16795742,17062524,17252861,17305934,17440860,17587169,17715389,17912547,17931651,17971229,18001032,18200801,18205810,18251729,18328984,18480509,18505889,18603584,18622002,18725571,18796276,19087421,19333742,19489469,19546779,19614689,19707330,19769944,19789661,19839581,19864529,19903674,20088701,20138429,20163281,20251161,20336055,20386589,20507054,20609249,20620107,20732669,20929032,21021152,21028061,21126269,21346769,21429800,21566621,21615389,21691792,21712829,21722827,21846972,21877570,21922495,21980129,22044711,22052861,22077089,22169050,22198109,22222289,22241187,22415441,22659652,22857055,23135201,23269975,23362264,23491742,23545161,23563601,23648796,23682219,23694850,23707252,23800481,24083681,24108525,24312542,24403266,24691735,24716669,25065809,25120795,25135421,25204961,25274429,25284819,25390049,25455614,25609467,25666721,25715760,25873469,25896401,25916506,26008300,26079569,26141572,26253084,26282547,26306994,26580641,26602860,26648669,26693981,26694987,26852321,26940184,26994459,27076334,27076819,27100349,27180532,27369821,27428466,27430144,27571169,27593035,27660449,27905309,27923970,27927521,28129624,28259741,28370081,28376384,28433820,28656029,28700625,28918781,28930230,29080024,29115089,29289041,29594692,29613821,29630082,29764769,29785568,29829341,29893841,29936801,30100975,30144954,30266584,30307707,30329408,30471101,30513629,30577361,30614000,30725789,30789281,30858912,30916049,30929647,31032610,31088695,31147709,31209960,31273661,31317850,31420241,31462049,31509835,31645827,31688344,31836881,31923432,31927479,31995691,32206539,32291489,32336452,32394269,32476349,32578769,32634904,32635454,32715027,32914371,33006749,33111642,33189089,33269921,33290624,33431201,33508764,33692189,33812189,33872081,33911655,33931901,33991649,34031441,34049907,34120584,34210109,34289309,34388129,34440750,34506449,34563907,34624481,34716276,34859681,34976849,34996349,35111205,35113181,35149411,35164507,35232664,35268509,35404001,35500541,35577629,35635361,35649387,35846429,35886254,35886850,35913861,36018401,36076276,36115915,36121170,36132689,36172432,36208721,36417149,36549281,36585411,36586961,36714267,36736800,36881752,36955742,36999329,37023580,37167559,37239132,37306434,37352344,37370849,37444769,37451952,37555409,37581420,37610621,37720829,37764676,37811802,37812449,38018174,38086109,38385657,38520221,38523687,38529248,38538209,38645969,38681170,38699741,38967521,38981852,39003089,39074129,39183775,39185920,39311655,39321761,39339389,39445876,39636747,39638011,39673454,39864509,39899261,40072541,40086848,40210589,40227809,40254895,40271054,40313789,40468049,40485149,40519731,40621661,40693986,40697215,40842401,41095421,41129021,41163134,41328900,41329949,41396669,41459342,41491971,41534779,41546321,41645729,41723187,41744849,41794301,41932432,42021387,42088135,42133446,42333521,42479069,42676855,42786676,42816161,43007201,43064220,43102289,43179027,43224494,43291601,43339098,43345404,43350315,43391127,43651229,43837181,43913752,43919551,44068001,44084160,44099294,44175101,44185210,44297021,44332300,44389742,44428296,44613784,44629661,44719709,44721699,44777332,44809469,44824334,44928701,45014050,45097704,45327329,45415121,45458909,45691229,45708130,45734561,45849761,45892829,45935168,45978749,46240336,46277201,46417404,46418081,46446161,46460189,46549742,46822109,46863521,47020530,47023104,47042141,47151389,47165009,47173986,47232989,47246561,47314301,47609981,47676641,47743876,47809361,47872984,47914961,48027295,48033149,48210547,48228689,48237775,48305874,48358049,48396701,48499421,48627101,48690641,48836658,49042769,49302749,49339601,49377010,49402971,49486289,49594680,49595549,49619741,49740221,49800161,49836029,49907549,49978781,49981833,50096861,50132129,50155232,50155601,50190507,50235010,50356094,50495054,50505762,50538269,50549729,50555659,50641121,50687092,50720669,50734917,50945789,50979281,51123581,51187694,51212226,51277469,51505361,51580541,51582424,51612641,51644669,51677064,51697889,51739214,51960989,52020378,52054481,52106141,52208861,52270109,52312132,52442081,52506219,52512221,52532189,52567255,52572029,52621649,52661201,52720927,52808381,52827869,52857041,52869362,52900992,52960132,52973009,53022252,53198760,53244014,53267261,53535569,53617469,53653661,53670535,53792095,53814941,53857107,53929972,53938589,53973629,54016860,54069329,54072555,54146554,54146909,54181181,54333821,54353752,54409169,54441115,54450749,54655649,54696029,54704081,54768209,54849756,54865742,54894929,54934109,54957521,55058141,55195229,55210301,55240349,55267934,55394402,55417949,55461629,55483361,55519421,55526609,55535342,55626401,55688360,55731581,55773149,55794015,55802174,55821281,55916369,55936541,56003261,56016509,56101841,56134301,56153681,56217761,56268449,56274749,56368289,56399069,56424636,56435741,56466734,56526161,56570731,56597201,56614781,56625730,56667089,56745344,56786621,56808989,56853341,56891729,56935121,56951261,56967329,56968639,57046589,57051809,57067421,57098429,57124049,57144401,57304027,57321809,57350369,57373949,57502301,57511229,57543339,57551009,57565911,57568481,57615869,57617984,57632754,57677392,57695441,57728081,57744209,57799649,57822929,57826781,57883601,57885330,57916094,57988349,57991841,58009181,58030227,58053329,58109021,58118609,58136697,58140701,58165469,58177661,58183709,58205379,58256609,58265021,58278881,58311329,58327121,58334909,58360349,58365341,58382561,58443089,58456289,58488029,58496189,58542461,58547921,58553309,58562129,58569041,58574141,58633889,58678241,58687709,58706429,58708961,58716881,58721249,58727261,58735841,58736849,58743761,58744481,58746449,58748381,58748861,58751549,58751741,58751969,59058676,59252412,59513616,59639704,59848605,60282012,60738855,61147971,61192615,61744352,61851202,61952611,62271979,62285774,62349355,62411774,62649405,62898946,63080706,63190659,63353719,63838512,63980824,64113652,64351994,64404642,64455891,64550514,64788112,64820232,64887066,65279851,65329338,65365876,65801752,65969288,66404947,66826032,66952818,67094667,67179866,67229407,67333694,67391704,67932734,67950876,68072152,68131435,68368267,68503975,68872210,68922812,69204952,69462396,69632395,69883864,69942542,70176254,70289626,70337215,70788184,70873934,71300299,71465752,71764300,71818326,71978427,72222370,72572619,72595454,72782452,72886626,72922761,73338715,73431138,73436539,73949342,74026971,74215449,74306692,74325394,74582625,74626467,74819226,75179286,75221211,75226975,75294424,75315610,75455755,75527660,75612542,75815667,76207579,76581171,76845850,77027774,77352220,77652991,77779742,77855571,77993294,78100771,78221455,78619347,78630494,79134860,79135876,79260855,79554800,79636707,80200814,80331652,80398971,80407742,80629876,80788279,80815330,80891224,80893900,80922542,81182695,81383770,81757722,81864535,82143374,82204770,82646652,83229139,83244254,83309695,83322547,83442542,83486139,83558874,83886007,84404658,84541827,84544912,84706227,85343587,85561624,85585694,85824555,86117160,86192834,86241412,86395975,86666844,86797495,87287342,87685088,87700852,88006458,88351725,88358860,88503730,88525987,88659544,88851614,88959970,89393774,89414259,89471228,89499150,89573342,89983384,90272370,90378732,90546906,90598132,90633192,90726494,90921691,91002627,91337342,91524952,91546192,91858304,91931420,92215020,92322676,92557531,92609092,92662339,92822664,92875694,93256930,93627374,93852187,93865746,94039934,94057179,94241840,94285742,94431387,94448894,94608332,94845835,94864210,94961832,95113026,95255704,95457412,95465760,95495342,95892895,96042010,96048734,96050059,96256827,96270315,96290528,96408466,96788811,96870772,96881805,96978396,97072680,97210814,97419234,97660524,97871839,98042414,98237442,98362688,98461160,98645724,98870955,98927851,99148334,99303927,99474850,99741987,99838744,99971634,...,122916905316897708933555656800889808387475462413799303233452984412928647352396260893585662830402939410114633667582579500979264162549084655993685944101634290206018567785765791138809624276715158198527156043697719982414571554877480643335495221543937514600660810732815870985947496502411369548202670339300644151811117774170688550331661768967491846897040944216543027768130718754912831754983816919152176281832095845966116192075640763750451216760250199365038443814251093146874095330290586031752003507176520843925208874026708851508988795949213600073936314517682111585928468414882818364456488893703845565528836977264937189874155572646036186594858668134940355491593778401009109579015954122602059577407427905670769355935928524571253544048540800782481283391435530219276367011302349147740913844594620604943739986823905086135083622988386311299801039273049685141664935772901091239755478498733061165994462140243235187515525498634235806116312900241646140067437866187056157089194686980383353933560224260501644359353750406822382594237569932553213202271261677590910874599066600851277915861464721066072234908480186829922367720366582434923269171841956058057818159439590802949928345505834960618641000487767755077702962297290626009130069419000955962986043308012036201848301826892277365931492450421914028901339891225003298063889150168204998790238377666829295313736880523032228882029349151370797856717606761772228355961850297971102543228666954389244921951291808967945101734924022240957554736653407216850416427207606417559554273211710886609663769005972331065731447733369676942548163278089642621498188135514208430257170387876175838308093232369127566855562083079171268089371469119671762026780002275733394485669595073057088703802349953672202735054031636240096733336852569371374764961182954921456367017297292654575702728089536033955369857438404140020806062540142576599991876002386867020069929675554309879741078863482980229185196831045228867081324489139803402026301301259636440003315819749510827159631919951936091035650985543159262706251944453249471630206771964339430650009293576385846645882427070732794798346726955108676259123015734174705150438390075772027428129023794656108863412953842257143917559635520234615159259390945661950293389401490474024007273808349034463689532468980599027704870383225596812726138424233803442804502968562778445449678686547577151013277633092504205420103249609491613245460093117900997673079876237648478952489607993016331753112942126324138295537049} 
15331  1163039611551568942545336891781244462777327745912851735157626031: {15331,30658,536165,643398,765950,919140,980416,995345,1102968,1179101,1194414,1240839,1331013,1454165,1684430,1744998,1821533,1880301,2021316,2188901,2602190,2702613,2828465,3001348,3122628,3394158,3704294,3778853,3959333,4287640,4613781,4823595,4926278,5026133,5111765,5145168,5213549,5571748,5656190,5665541,5742375,5763953,5788314,6125200,6134118,6160661,6394982,6517301,6681293,6762158,6787428,6890850,7037540,7180190,7226021,7350240,7595661,7840256,7959640,8093630,8135013,8142641,8269020,8293265,8445048,8616228,8673501,8820288,8855021,8942421,8954595,9310430,9330581,9429112,9500679,9551568,9609233,9651365,9712356,9754382,9922824,9951918,10238789,10283781,10339133,10425734,10554965,10607751,10745514,10892501,11163101,11163177,11172516,11329598,11352981,11397533,11443652,11526398,11581638,11703653,11896109,11955998,12474773,12607238,12628275,12650030,12665958,12995621,13244429,13270852,13360838,13470160,13728629,13779854,13931981,14010861,14564333,14673509,14770190,15153930,15180036,15365813,15750903,15790214,16037861,16121613,16164192,16185140,16278136,16282190,17240861,17298701,17433813,17506661,17724228,18010340,18184716,18312903,18393508,18658718,18751075,18914081,18958360,18980318,19027973,19261821,19394189,19422168,19506212,19538628,19806182,19902830,19979921,20042013,20379518,20441981,20560109,20561061,20684248,20806190,21032414,21224621,21287774,21328155,21612408,21801075,21849939,22077316,22323278,22501290,22750032,22864733,22911230,23254480,23269779,23486381,23495345,23572661,23789102,23883396,23908868,24001376,24313959,24613421,24682341,24712430,24829336,24967428,25092833,25193613,25445021,25593786,25685822,25863461,25958901,25987838,26062372,26161290,26276440,26483261,26538232,26787250,26961329,27001548,27114740,27259718,27308715,27453662,27493476,27496718,27727301,27875789,27905376,27933003,28194414,28324565,28555541,29000613,29129296,29202830,29392948,29560995,29634065,29654916,29855511,29887601,30141749,30190214,30760581,30802061,30828581,30943601,31393548,31531728,31576292,31638941,31650878,32144700,32271533,32510375,32537688,32632253,32676965,32683301,32754398,32770458,32788733,32816355,32872814,32989958,33099869,33253575,33675230,33713092,33812174,33975665,33989478,34145956,34287680,34380881,34458701,35004112,35043396,35075992,35162030,35228453,35235278,35237613,35470480,35473194,35542275,35560878,35593316,35617361,35992612,36285902,36350030,36468813,36571288,36604899,36690878,36791774,36993365,37231960,37747733,37833230,37911760,38014229,38103893,38183421,38267500,38424533,38573640,38724881,38874759,39012450,39037061,39153341,39212358,39379626,39460491,39506776,39610430,39904290,39940421,40071893,40193272,40410276,40420565,40460294,40614501,40770798,40793630,40915838,41142699,41145216,41438501,41613280,41885955,41888861,42194436,42564576,42569972,42650730,42942052,43395345,43496909,43620036,43768934,43885828,44040830,44148856,44392038,44445123,44533541,44678352,45095345,45134621,45215540,45217431,45399413,45399876,45494112,45544481,45921000,46102190,46279475,46288368,46457501,46548915,46690430,46814940,46916453,46976775,47205845,47236241,47532516,47559533,47588069,47885148,47918333,48025073,48025958,48161560,48504678,48727315,48780548,48952356,48953181,48982400,49196561,49307345,49612001,49652176,49667463,49741912,49761893,49935936,50108560,50263146,50318801,50395181,50415736,50467718,50698901,51152414,51180876,51364916,51661125,52035509,52074414,52154702,52184741,52366094,52415540,52848996,53200061,53483345,53829381,53830275,54026308,54114414,54181755,54258648,54874109,54892190,55105200,55322628,55334918,55415375,55433613,55535370,55541981,55630916,55767230,55858698,55959651,55971665,55983221,56028516,56177928,56372130,56647014,56689598,56717703,56776241,57027261,57209981,57418960,57572036,57576533,57723127,57785464,57793872,57800420,57854836,58021755,58166573,58394558,58472778,58738814,58778880,58967741,59168814,59195438,59237728,59510181,59563133,59617382,59628932,59679845,59736101,59841230,60125333,60130272,60275534,60406581,60422561,60539909,60554333,61040979,61148381,61327541,61744701,61754081,61889872,61939661,61993350,62189013,62298398,62532533,62694040,62697472,62898648,63200169,63358865,63638213,64134701,64180014,64407832,64471118,64478030,64596330,64836741,65008647,65018106,65115544,65168741,65328749,65390165,65462093,65534414,65626133,65776958,65826869,65870628,65882621,65957141,66126240,66148941,66200165,66277815,66498450,66507278,66584613,66642444,66920676,67029254,67165998,67236501,67341016,67412465,67521075,67646556,67914353,67942190,68282968,68446493,68562195,68902752,69237533,69360504,69432014,69610450,69626106,69824613,70008292,70126694,70447598,70530795,70534656,70696336,70760979,70779821,70814573,70906781,70912469,70931680,71331221,71562053,71615814,71707598,71809476,71825909,72022480,72096740,72273101,72314141,72458811,73133008,73254638,73254987,73604453,73823345,73976798,74065515,74392020,74549630,74809478,74866421,75232848,75352515,75364454,75495953,75534141,75742581,75758643,76030638,76165454,76487261,76724452,76754548,76781541,76818339,76843672,76891781,77180440,77261798,77373636,77515596,77577101,77607172,77608821,77836574,78030567,78468198,78714221,78735461,78973214,78990638,79003216,79304043,79351488,79370129,79440198,79533378,79798140,79866021,79938254,79976030,80084333,80102918,80142065,80250509,80376016,80894958,80985140,81025290,81219831,81352469,81530628,81531281,81707345,82252190,82274634,82298613,82461610,82794221,82901901,83091603,83303013,83348741,83411861,83532540,83703261,83906429,83955758,84107608,84239630,84254212,84309341,84636954,84700101,84914453,84938595,85090190,85118016,85127141,85154894,85841582,85872856,85941188,86067352,86153515,86426976,86449131,86506190,86516088,86790353,86827995,86874141,87105784,87354830,87358901,87930833,87949829,88485230,88588014,88593374,88690133,88878618,89035742,89047598,89101376,89270424,89332190,89459556,89639333,89705375,89778641,89852294,90160421,90385181,90423018,90545573,90601168,90978065,91255061,91372814,92279558,92341829,92616528,92776803,92883365,93116174,93158069,93254333,93428661,93617661,93688478,93725549,93895061,94118030,94287758,94348419,94364333,94409575,94621059,94640741,94694693,95167118,95757768,95762501,95971236,96170478,96527991,96606963,96690275,96763492,96789521,96825771,96995573,97182168,97230348,97330599,97908184,97994007,98048814,98119133,98195774,98238701,98284541,98680421,98702628,98918575,98919845,98953932,99443500,99501956,99510638,99535598,99537158,99758968,99988133,...,163889207089196945244740875734519744516633949885065737644603979217238196469861681191447550440537252546819511556776772667972352216732112874658247925468845720274691423714354388185079499035620210931369541391596959976552762073169974191113993628725250019467547747643754494647929995336548492730936893785734192202414823698894251400442215691956655795862721258955390703690840958339883775673311755892202901709109461127954821589434187685000601622347000265820051258419001457529165460440387448042336004676235361125233611832035611802011985061265618133431915086023576148781237957886510424485941985191605127420705115969686582919832207430194714915459811557513253807322125037868012146105354605496802746103209903874227692474581238032761671392064721067709975044521914040292368489348403132196987885126126160806591653315765206781513444830651181748399734719030732913522219914363868121653007304664977414887992616186990980250020700664845647741488417200322194853423250488249408209452259582640511138578080299014002192479138333875763176792316759910070950936361682236787881166132088801135037221148619628088096313211306915773229823627155443246564358895789274744077090879252787737266571127341113280824854667317023673436937283063054168012173425892001274617314724410682714935797735769189703154575323267229218705201786521633337730751852200224273331720317836889105727084982507364042971842705798868494397142290142349029637807949133730628136724304889272518993229268389078623926802313232029654610072982204542955800555236276808556746072364282281182146218358674629774754308596977826235923397551037452856828664250847352277907009560517168234451077457643158836755807416110772228357452495292159562349369040003034311192647559460097409451605069799938229603646738708848320128977782470092495166353281577273228608489356396390206100936970786048045273826476584538853361074750053523435466655834669849156026759906234072413172988105151310640305580262441393638489441765985519737869368401735012848586671087759666014436212842559935914788047534647390879016941669259270999295506942362619119240866679058101847795527843236094310393064462302606811568345497354312232940200584520101029369904172031726208145151217271789676191890079514026979486879012521260882600391185868653965365343031744465379284919376625307465370273160510967462416968184565645071257072670624750371260599571582063436201351036844123338940560137666145988817660613457490534663564106501650197971936652810657355109004150589501765517727382732}
15332  1168246030248632435717369903923795442655387966026196957379328921: {45987,199147,290947,337018,520642,657427,704122,857864,931531,948538,965097,1113907,1148925,1225520,1253698,1314682,1378710,1470624,1592552,1619362,1654452,1774684,1791621,1801978,1862818,2045242,2111827,2166778,2326664,2507068,2526645,2617497,2695088,2712898,2921827,2955202,3031974,3136762,3190531,3439042,3603484,3636931,3751685,3903285,3982138,4081531,4162882,4163504,4502022,4525544,4683942,4764322,5091237,5229067,5359550,5483938,5556441,5783098,5842882,6022138,6103507,6151708,6431460,6737722,6860224,6884347,6916258,6964685,7213498,7389417,7656500,7717752,7747522,8102818,8178824,8250473,8339362,8357622,8484285,8682471,8796925,8853331,9049904,9107347,9187800,9201177,9400642,9518242,9592473,9800320,9949550,10127548,10143237,10181142,10336275,10398202,10556310,10770285,10784227,10846684,11025360,11157922,11198947,11260064,11332858,11449402,11488304,11564668,11760384,11786390,11923228,11939460,11973058,12022987,12140445,12350587,12403530,12667572,12735424,12758467,12900802,12924342,12949808,13074298,13189882,13230432,13269224,13709218,13711708,13766842,13965645,14143668,14211931,14227258,14243369,14304565,14327352,14451907,14457082,14568534,14631573,14801338,14850427,14884236,14896688,14915962,14927877,15009331,15087778,15137308,15442184,15638601,16118271,16172602,16588565,16627642,16758774,16837700,16854778,16887944,16994397,17024962,17165478,17289597,17372457,17478082,17589667,17647738,17873722,17933997,18043042,18098717,18155842,18279787,18508531,18550138,18681148,18910857,18975045,18998937,18999802,19392418,19492267,19728322,19840162,19867387,19906278,20041257,20166187,20205240,20231098,20231425,20240048,20240707,20347670,20362969,20509858,20669781,20732578,21001204,21276427,21495484,21552256,21565498,21725669,22080307,22155285,22225531,22394818,22505122,22512925,22730895,22731547,22770054,22890682,22991885,23162467,23165602,23220953,23245084,23549818,23632304,23661931,23685321,23697950,23987962,24246288,24277710,24382765,24417204,24423285,25459138,25488134,25513402,25682428,25855310,25896224,25900267,26051504,26106331,26163322,26271418,26487418,26584627,26586342,26722684,26757058,27015510,27080098,27277074,27414748,27590262,27596645,27597667,27931747,27988077,28206202,28437540,28462531,28470477,28816544,28899778,29068100,29133252,29259318,29307942,29315227,29639947,29709273,29854245,29886085,29961538,30001720,30333376,30569277,30628598,30691493,30964282,31026372,31036670,31209285,31542178,31548621,31844528,31908922,31931661,31999877,32110987,32418612,32577965,32604331,32692162,32845550,32909788,33032227,33115974,33160378,33172790,33289904,33419938,33484917,33575482,33591484,33751935,33893425,34125048,34235347,34294747,34366845,34413331,34505722,34568429,34590667,34611868,34881720,35001931,35169113,35174338,35430778,35683653,35825094,35863302,35942458,36002064,36401602,36411620,36503458,36555187,36657968,36741185,36961018,37011778,37068645,37207168,37244004,37451142,37592552,37726987,38110531,38174842,38390679,38528733,38544547,38630249,38667484,38978938,38981757,39093558,39229378,39241935,39345907,39414660,39470365,39539888,39579322,39679162,39729058,39807348,40177402,40180875,40234531,40276858,40326562,40337707,40491931,40502322,40672110,40773178,40889577,41014108,41152747,41180493,41218498,41240214,41245077,41403667,41465338,41503531,41540213,41858064,42042304,42056122,42141365,42252538,42291621,42340747,42486331,42543721,42583027,42682445,42693538,42859600,43133242,43230778,43346227,43383584,43425658,43445654,43524173,43693944,43755140,43804245,43844990,43925297,43960258,44089422,44105722,44113769,44154178,44338100,44396218,44444578,44482374,44491645,44501827,44830882,44990765,45285321,45319304,45349987,45481531,45714110,46001227,46270402,46468507,46539950,46724528,46761331,46885747,46983484,47090322,47127202,47173531,47255107,47297592,47364438,47389700,47414504,47476317,47600962,47698627,47834375,48167362,48217050,48250507,48366931,48597373,48625084,48806532,49086557,49126531,49131597,49155687,49309221,49383470,49385587,49433338,49484937,49495531,50131618,50241590,50270842,50409922,50512845,50548858,50559331,50562281,50569638,50718261,50730331,50780098,50911228,50984217,51133387,51218934,51298267,51333442,51431520,51654667,51718531,51746938,51792802,51833012,51971107,52016600,52159138,52283144,52506168,52565094,52613988,52743045,52848067,52852917,53161282,53205720,53209791,53212465,53277907,53297338,53341317,53387962,53389974,53677565,53704642,53772331,53852467,53880368,53988918,54088987,54152668,54153638,54166531,54200698,54344947,54361064,54428853,54525045,54715387,54739642,54835267,54856932,54857285,54859027,54860288,54906331,55036317,55142338,55186070,55187661,55320898,55363531,55538347,55810618,55847940,55855042,56259248,56286931,56356853,56417467,56472331,56519425,56519482,56615467,56702587,56740162,56749845,56752768,56867640,56976101,57064531,57312058,57334747,57401250,57474787,57528787,57568531,57671347,57816931,57837562,57840187,57851707,57860460,57897067,58005427,58135531,58160048,58230178,58374427,58411147,58518675,58578082,58588627,58648531,58679347,58724707,58758907,58761931,58818537,58923389,59069439,59189384,59227642,59260164,59415645,59529538,59571136,59658682,59747597,59787682,59856435,59873602,60201950,60289908,60533168,60615414,60658816,60690441,60942202,60975685,61027258,61154722,61156197,61190445,61228000,61373757,61451578,61578562,61717824,61832098,61859294,62065220,62177390,62295418,62419920,62547322,62635700,62840482,62924098,63019670,63291654,63376688,63673762,63846864,63854958,63976095,63991382,64206145,64413078,64582978,64672904,64788538,64952698,65157538,65269808,65270908,65430054,65519425,65653401,65828742,66013498,66061245,66223284,66378178,66539842,66581248,66588057,66862402,67017528,67238213,67384378,67532885,67624378,67722941,67744162,67823310,67863802,67983298,68062882,68099814,68241168,68420218,68578618,68776258,68881500,69012898,69127814,69153285,69248962,69432552,69538645,69719362,69953698,69992698,70035645,70222410,70226362,70298822,70329014,70465328,70537018,70808002,71001082,71155258,71270722,71298774,71692858,71772508,71773700,71827722,71965045,72036802,72038937,72152552,72231830,72242340,72250525,72265378,72318545,72344864,72417442,72757017,72834298,73098562,73170822,73173922,73428534,73473600,73594157,73763504,73911484,73998658,74047160,74335118,74478264,74536165,74612868,74704688,74741698,74872577,74889538,74903904,75110818,75138749,75162840,75221242,75308933,75394719,75441658,75529352,75623604,75624898,75701577,75749509,76036348,76172218,76217561,76728621,76771314,77040442,77047374,77058496,77076418,77291938,77362340,77399482,77935042,77963704,78006178,78111621,78148258,78232053,78367550,78371840,78549141,78623310,78643522,78678778,78891752,79273494,79276022,79346908,79729018,79798522,80145082,80173696,80421178,80455618,80509790,80542108,80627578,80798861,80936098,80970298,81039462,81171621,81243322,81387972,81394430,81684802,82190842,82258042,82326268,82338285,82657800,82659898,82793338,82918684,82983942,83002377,83069558,83092642,83291458,83303055,83446374,83489698,83588602,83650845,83788047,83864864,84042774,84176270,84266892,84558195,84667042,84958138,84970521,85034397,85353710,85573352,85632322,85669661,86014402,86128440,86204578,86358054,86448988,86583202,86678196,86690808,86700630,86782254,86788637,86800681,87289097,87302458,87510365,87591837,87674362,87709167,87827504,87839102,88108221,88136002,88168320,88198588,88350202,88370420,88594042,88664600,88753221,88779484,88793157,88856592,89227568,89259322,89426073,89439418,89443398,89554664,89618938,89648668,89761845,89857402,90028100,90120925,90195408,90413301,90654658,90830242,90917818,91382458,91416260,91469122,91699522,91785658,91870336,91957498,92480672,92554402,92834808,92836162,92892322,92920378,92990025,93099484,93447597,93644218,93727042,93754949,94041060,94046208,94084282,94302778,94330018,94347972,94465978,94493122,94628602,95219962,95353282,95384009,95477057,95487752,95618722,95745968,95829922,95905565,95943185,96054590,96066298,96270021,96421094,96457378,96475550,96611748,96706677,96716098,96717045,96793402,96894495,96998842,97008965,97254202,97381282,97485353,97527159,97673316,98085538,98301621,98472101,98605498,98665437,98679202,98754020,98805942,98940809,98972578,99189360,99191098,99239482,99480442,99600322,99672058,99747675,99760917,99815098,99957562,99963666,...,245833810633795417867111313601779616774950924827598606466905968825857294704792521787171325660805878820229267335165159001958528325098169311987371888203268580412037135571531582277619248553430316397054312087395439964829143109754961286670990443087875029201321621465631741971894993004822739096405340678601288303622235548341377100663323537934983693794081888433086055536261437509825663509967633838304352563664191691932232384151281527500902433520500398730076887628502186293748190660581172063504007014353041687850417748053417703017977591898427200147872629035364223171856936829765636728912977787407691131057673954529874379748311145292072373189717336269880710983187556802018219158031908245204119154814855811341538711871857049142507088097081601564962566782871060438552734022604698295481827689189241209887479973647810172270167245976772622599602078546099370283329871545802182479510956997466122331988924280486470375031050997268471612232625800483292280134875732374112314178389373960766707867120448521003288718707500813644765188475139865106426404542523355181821749198133201702555831722929442132144469816960373659844735440733164869846538343683912116115636318879181605899856691011669921237282000975535510155405924594581252018260138838001911925972086616024072403696603653784554731862984900843828057802679782450006596127778300336409997580476755333658590627473761046064457764058698302741595713435213523544456711923700595942205086457333908778489843902583617935890203469848044481915109473306814433700832854415212835119108546423421773219327538011944662131462895466739353885096326556179285242996376271028416860514340775752351676616186464738255133711124166158342536178742938239343524053560004551466788971339190146114177407604699907344405470108063272480193466673705138742749529922365909842912734034594585309151405456179072067910739714876808280041612125080285153199983752004773734040139859351108619759482157726965960458370393662090457734162648978279606804052602602519272880006631639499021654319263839903872182071301971086318525412503888906498943260413543928678861300018587152771693291764854141465589596693453910217352518246031468349410300876780151544054856258047589312217726825907684514287835119271040469230318518781891323900586778802980948048014547616698068927379064937961198055409740766451193625452276848467606885609005937125556890899357373095154302026555266185008410840206499218983226490920186235801995346159752475296957904979215986032663506225884252648276591074098}
15333  1173475570454895927253015464072836260805332662009028180691998362: {30662,61316,505527,750631,780963,1056183,1072330,1286796,1393483,1422807,1531900,1838280,1880547,1960832,1972023,1990690,2035831,2068065,2205936,2218355,2358202,2388828,2429043,2481678,2586883,2662026,2702967,2794227,2908330,3067863,3133835,3250167,3368860,3489996,3643066,3760602,3870647,3959851,4042632,4069347,4377802,4421411,4432803,4504355,4547961,4705143,5158563,5204380,5405226,5656930,5973207,6002696,6161467,6244323,6245256,6753033,6788316,7025913,7146483,7156471,7408588,7536491,7557706,7689635,7918666,8039325,8086823,8225907,8539843,8575280,8674647,8764323,8901827,9033207,9227562,9570625,9647190,9852556,9905687,10052266,10106583,10223530,10290336,10374387,10427098,10739731,10820247,11143496,11312380,11331082,11484750,11527906,11576628,11610571,11621283,12100387,12154227,12199931,12250400,12268236,12321322,12476407,12509043,12536433,12659435,12789964,13034602,13362586,13511911,13524316,13558355,13574856,13751963,13781700,14075080,14100963,14277363,14360380,14398667,14452042,14455835,14675431,14700480,14776951,14904035,14913107,14924325,15191322,15271713,15597303,15652507,15680512,15834465,15919280,16187260,16270026,16285282,16499303,16538040,16586530,16736883,16890096,16999287,17139635,17174103,17232456,17347002,17640576,17679585,17710042,17884842,17909190,17959587,18147707,18605295,18620860,18661162,18858224,18921635,19001358,19103136,19218466,19302730,19351203,19386513,19424712,19508764,19611447,19784823,19845648,19903836,20340247,20375563,20477578,20563827,20567562,20650263,20678266,20851468,20889571,21047125,21109930,21139267,21215502,21340887,21491028,21493763,21685623,21785002,21852801,22202007,22326202,22326354,22345032,22373943,22631667,22659196,22705962,22795066,22887304,23038451,23052796,23163276,23351435,23407306,23792218,23911996,24258903,24868547,24941463,24949546,25083643,25138161,25214476,25256550,25282167,25300060,25331916,25537443,25748217,25991242,26217123,26251505,26471607,26488858,26541704,26721676,26810583,26869355,26940320,27064563,27233763,27457258,27559708,27825207,27863962,28021722,28044931,28499703,28820731,28828547,29056355,29068343,29088627,29128666,29347018,29540380,29592483,29760243,29859417,30307860,30346647,30360072,30521505,30731626,30764787,31098867,31364747,31501806,31580428,31790231,32075722,32103035,32243226,32328384,32348247,32370280,32556272,32564380,32893483,33403355,33592227,33757683,34155081,34268435,34336023,34481722,34597402,34748403,34867626,35013322,35324727,35448456,35546925,35622067,35981943,36020680,36335125,36369432,36416565,36625806,36646231,36787016,36848627,37317436,37502150,37828162,37916720,37945403,37960636,38055946,38188707,38232201,38270103,38523642,38782965,38788378,38844336,39012424,39077256,39118027,39244983,39407127,39612364,39653207,39654391,39731127,39805660,39879513,39959842,40084026,40135587,40523265,40620147,40759036,40883962,40915611,41120218,41122122,41137235,41368496,41385393,41487691,41612380,41989355,42064828,42224471,42309303,42449242,42575548,42656310,42772643,43008011,43224816,43264835,43349667,43602150,43699878,43888977,43961913,44154632,44479291,44541827,44646556,44925907,44942307,45002580,45500064,45514525,45729466,45747751,45822460,45942897,46061891,46446423,46508960,46539558,46555005,46972762,46990690,47145322,47313267,47565931,47578204,47766163,47766792,47810123,47817736,47863383,48002752,48334355,48530407,48627918,49038243,49226842,49268325,49364682,49424860,49658672,49673961,49740567,49759185,49934856,50129907,50185666,50363223,50387226,50890042,51187572,51267635,51337147,51371644,51726922,51758583,51790711,51917802,51956747,51975676,52124744,52322580,52552880,52761507,52966522,53076464,53146167,53574500,53737641,53794953,53913687,53922658,54003096,54229480,54519436,54549211,54602403,54617430,54693925,54755187,54907324,54986952,54993436,55422625,55441527,55448707,55454602,55517667,55751578,55810752,55866006,56176713,56388828,56588791,56649130,57111082,57262263,57642227,57900523,58001226,58124627,58258592,58405660,58468407,58640337,58729355,58785896,58844067,59121990,59237125,59268130,59309832,59368983,59518743,59593587,59711022,59743763,59775202,59916883,60230123,60266103,60283498,60380428,60415287,60489843,60753483,60781355,61008165,61159767,61249171,61257851,61521162,61604122,61657162,61827747,61860321,61887202,62198007,62294327,62787096,62938007,63063456,63084183,63133483,63152584,63277882,63301756,63370003,63378807,63639035,63940567,64040307,64289400,64543066,64699863,64791265,64846167,65020750,65075376,65138487,65168481,65264506,65353930,65366602,65508796,65540916,65577466,65632710,65640523,65745628,65767485,65940387,65979916,66088183,66134133,66158583,66199738,66231267,66507150,66594327,66666867,66723561,67246323,67263223,67301963,67350460,67426184,67624348,67681147,67690835,67951330,67978956,68218241,68228311,68291912,68571165,68575360,68761762,68917402,69019267,69030283,69405603,69809925,70008224,70086792,70151984,70324060,70456906,70470556,70475226,70598231,70635483,70690803,70940960,70946388,71046657,71084550,71121756,71186632,71234722,71401443,71985224,72251043,72325575,72478003,72505367,72571804,72700060,72937626,73142576,73209798,73215067,73308491,73381756,73583548,73986730,74075205,74150007,74308963,74463920,74876683,75197427,75362385,75406263,75495466,75614883,75666460,75823287,75823520,75854457,75912227,76028458,76170147,76207786,76366842,76497367,76535000,76828401,76849066,77000163,77017603,77147280,77449762,77581525,77620407,77689203,77749518,78024900,78074122,78207767,78238707,78294625,78306682,78360331,78424716,78748343,78759252,78847641,78920982,79013552,79220860,79741923,79808580,79880842,79946007,80081943,80084961,80102231,80143786,80384791,80386544,80556963,80583803,80797643,80820552,80821687,80841130,80920588,80931523,80983377,81229002,81230457,81301047,81429731,81541596,81587260,81588635,81831676,82109463,82285398,82290432,82713507,82779105,82877002,82937987,82981347,83226560,83551783,83715927,83771910,83777722,83782563,83798923,84388872,84779223,84843931,85110243,85129152,85139944,85301460,85884104,85968087,86046083,86101875,86306291,86756343,86790690,86993818,87240072,87345267,87537868,87771656,87867123,87942451,88081660,88297712,88302131,88702411,88784076,88841463,88890246,88978283,89067082,89294307,89356704,89488023,89681523,89715635,89717125,89810403,90190690,90269242,90302925,90415907,90431080,90434862,90798826,90799752,90923121,90988224,91088962,91282571,91402487,91413303,91540887,91546231,91732083,91842000,92177367,92204380,92339027,92367843,92389355,92558950,92576736,92680231,92748147,92788941,92915002,93097830,93266085,93380860,93443127,93629880,93820983,93832906,93953550,94228087,94260723,94377451,94386147,94411690,94472482,94529505,94937481,95045435,95065032,95119066,95176138,95510643,95770296,95782437,95836666,95878187,95987073,96050146,96051916,96143827,96323120,96619617,96702925,96874467,97009356,97009847,97182807,97429047,97454630,97544411,97561096,97736307,97904712,97906362,97964800,98145081,98297527,98393122,98614690,98710231,98743113,99020247,99183635,99224002,99251891,99304352,99334926,99483824,99523786,99567267,99809763,99871872,...,368750715950693126800666970402669425162426387241397909700358953238785942057188782680756988491208818230343901002747738502937792487647253967981057832304902870618055703357297373416428872830145474595581468131093159947243714664632441930006485664631812543801982432198447612957842489507234108644608011017901932455433353322512065650994985306902475540691122832649629083304392156264738495264951450757456528845496287537898348576226922291251353650280750598095115331442753279440622285990871758095256010521529562531775626622080126554526966387847640800221808943553046334757785405244648455093369466681111536696586510931794811569622466717938108559784576004404821066474781335203027328737047862367806178732222283717012308067807785573713760632145622402347443850174306590657829101033907047443222741533783861814831219960471715258405250868965158933899403117819149055424994807318703273719266435496199183497983386420729705562546576495902707418348938700724938420202313598561168471267584060941150061800680672781504933078061251220467147782712709797659639606813785032772732623797199802553833747584394163198216704725440560489767103161099747304769807515525868174173454478318772408849785036517504881855923001463303265233108886891871878027390208257002867888958129924036108605544905480676832097794477351265742086704019673675009894191667450504614996370715133000487885941210641569096686646088047454112393570152820285316685067885550893913307629686000863167734765853875426903835305204772066722872664209960221650551249281622819252678662819635132659828991307017916993197194343200109030827644489834268927864494564406542625290771511163628527514924279697107382700566686249237513804268114407359015286080340006827200183457008785219171266111407049861016608205162094908720290200010557708114124294883548864764369101051891877963727108184268608101866109572315212420062418187620427729799975628007160601060209789026662929639223236590448940687555590493135686601243973467419410206078903903778909320009947459248532481478895759855808273106952956629477788118755833359748414890620315893018291950027880729157539937647281212198384395040180865326028777369047202524115451315170227316082284387071383968326590238861526771431752678906560703845477778172836985850880168204471422072021821425047103391068597406941797083114611149676790438178415272701410328413508905688335336349036059642731453039832899277512616260309748828474839736380279353702993019239628712945436857468823979048995259338826378972414886611147}
15334  1178728334034644798530094848988860477368628586882716807621319854: {45993,76645,91974,398294,581894,674036,718489,1041284,1083673,1314854,1408244,1538533,1608495,1629289,1715728,1863062,1897076,1914875,1930194,2227814,2297850,2451040,2507396,2622853,2629364,2757420,2941248,2981989,2986035,3185104,3238724,3308904,3429289,3518533,3537303,3549368,3583242,3603956,3722517,3725636,3785833,3874789,3993039,4090484,4211075,4223654,4229893,4333556,4362495,4653328,4760389,5014136,5053290,5234994,5252359,5390176,5425796,5464599,5640903,5726233,5843654,5910404,6063948,6273524,6381062,6505475,6566703,6596713,6878084,6942889,7206968,7273862,7287913,7459993,7503370,7717573,7806570,7964276,8107839,8163062,8316073,8325764,8327008,8485395,8656489,8741413,9004044,9051088,9080389,9260735,9367884,9528644,9750559,9922789,10182474,10257733,10458134,10719100,10841113,10967876,11112882,11255653,11336559,11566196,11585989,11685764,11877999,12044276,12207014,12303416,12315695,12814489,12862920,13139353,13475444,13624489,13720448,13768694,13832516,13841343,13929370,14140475,14426996,14470785,14507173,14746393,14778834,15078399,15313000,15335295,15435504,15495044,15539113,15640647,15987455,16205636,16357648,16500946,16678724,16714693,16715244,16905395,16968570,16996623,17227125,17291859,17364942,17593850,17706662,17950475,17950789,18027433,18099808,18214694,18256933,18375600,18402354,18481983,18801284,19036484,19092889,19184946,19551903,19600640,19845289,19899100,19920133,20026391,20043879,20144233,20234075,20255096,20286474,20362284,20664613,20672550,20796404,21112620,21401893,21540570,21568454,21621673,21678063,21693368,21767833,22050720,22131973,22315844,22397894,22421989,22520128,22665716,22786983,22898804,22976608,23129336,23223991,23276075,23427973,23520768,23572780,23846456,23878920,23946116,24045974,24065327,24280890,24385955,24405039,24427923,24490153,24701174,24807060,24879795,24910489,25189273,25258789,25335144,25470848,25516934,25674373,25801604,25848684,25899616,26020503,26064335,26148596,26379764,26460864,26538448,26565063,26633989,26701993,26827263,26863785,27418436,27423416,27533684,27931290,27991743,28287336,28323995,28423862,28454516,28486738,28502037,28609130,28654704,28815995,28827699,28903814,28914164,28954095,28971289,29036773,29137068,29263146,29602676,29700854,29768472,29793376,29831924,29855754,29889995,29945989,30018662,30175556,30274616,30331333,30523033,30716367,30841093,30851343,30884368,30967813,31017399,31157353,31220389,31277202,31283353,31471813,31518095,31625075,31664895,31823253,32188639,32236542,32345204,32527513,32677503,33017113,33177130,33255284,33320773,33402095,33489303,33489531,33517548,33675400,33709556,33742873,33775888,33982489,33988794,34042213,34049924,34058943,34135871,34192599,34330956,34449635,34579194,34744914,34956164,35110959,35179334,35295476,35453989,35511913,35685253,35688327,35747444,35867994,36029989,36086084,36197434,36311684,36559574,36598789,36925475,37017062,37100276,37104553,37362296,37424319,37769833,37821714,37884825,37950090,37997874,37999604,38261989,38635303,38748313,38784836,38984534,38986863,39015973,39456644,39475535,39680324,39733287,39734774,39812556,39912553,40082514,40120489,40332374,40410480,40462196,40462850,40480096,40481414,40635289,40695340,40705475,40725938,41019716,41142889,41185887,41339562,41465156,41643289,41692933,41795943,41840519,41890789,42002408,42032583,42380389,42549287,42552854,42862789,42990968,43053733,43104512,43130996,43451338,43692999,44020527,44160614,44221033,44310570,44312473,44451062,44675353,44765353,44789636,45010244,45025850,45431173,45461790,45463094,45540108,45609151,45781364,45866053,45983770,45995113,46097439,46324934,46331204,46441906,46462789,46490168,46646795,46880389,47045413,47099636,47252709,47264608,47323862,47370642,47395900,47450795,47975924,48089989,48113583,48364839,48440233,48492576,48555420,48603731,48632293,48765530,48834408,48846570,49092979,49515455,49638313,49757075,49997593,50103973,50174533,50278943,50918276,50948795,50965273,50976268,50998789,51026804,51362713,51364856,51437659,51685993,51710620,51722583,51781573,51792448,51800534,51896103,52015475,52095493,52103008,52126489,52212662,52301439,52326644,52462693,52519983,52542836,52552873,52581035,52848793,52974836,53051653,53165989,53169254,53172684,53219435,53445368,53514116,53611813,53986789,54013033,54031020,54091333,54160196,54220393,54314711,54473113,54554148,54742789,54829496,54938709,54956953,55180524,55193290,55195334,55233433,55258511,55300933,55345573,55455913,55521253,55542889,55649989,55671193,55808195,55863494,55976154,56040553,56177893,56253225,56367973,56412404,56423593,56550853,56621989,56742243,56875080,56925062,56940954,56976553,57083919,57278075,57357253,57433259,57537433,57603493,57633088,57754693,57785463,57799556,57917989,57962053,58015513,58087333,58136200,58182567,58211353,58264489,58266504,58298473,58393513,58464793,58518636,58552489,58574953,58606489,58611493,58615884,58630454,58728133,58736233,58738789,58748293,58760389,58767013,58774789,58779289,58782313,58997911,59279894,59418546,59472755,59708490,59755423,59772170,59923076,59939763,60003440,60126039,60666752,61138554,61257196,61325943,61382986,61680327,61683183,61781075,61928564,62052744,62073340,62288303,62418570,62987071,63084356,63097242,63673863,63689056,63817844,63863322,63984465,63999754,64214555,64221974,64837224,64969595,65155930,65208662,65384324,65403225,65549817,65691100,65819576,66064454,66231948,66320756,66345580,66579808,66839876,66968125,66969834,67150964,67182968,67503870,67786850,68149295,68250096,68470694,68589494,68594199,68634155,68733690,68741795,68826662,69011444,69136858,69181334,69223736,69763440,69809337,70003862,70338226,70348676,70459143,70486035,70717983,70861556,71367306,71650188,71726604,71884916,72004128,72803204,72823240,72941877,73006916,73007075,73110374,73315936,73482370,73840263,73922036,74023556,74047023,74137290,74414336,74488008,74497451,74902284,75148591,75185104,75278499,75453974,75475535,75580839,75759431,76221062,76335063,76349684,76781358,76800199,77057466,77089094,77260498,77334968,77590383,77876703,77957876,77963514,78187116,78458756,78483870,78691814,78829320,78940730,79079776,79127195,79158644,79358324,79444607,79449783,79458116,79614696,80036203,80354804,80361750,80469062,80553716,80653124,80675414,80883987,80983862,81004644,81344220,81546356,81779154,81885995,81926145,82028216,82182035,82305494,82360986,82436996,82474895,82480428,82490154,82807334,82847171,82930676,83007062,83080426,83181903,83627367,83716128,83799009,84084608,84112244,84188075,84282730,84505076,84530435,84583242,84681494,84972662,84973695,85087442,85166054,85364890,85365959,85387076,85666623,85719200,86266484,86461556,86692454,86767168,86851316,86891308,87001839,87048346,87387888,87510280,87608490,87689980,87850594,87905075,87920516,88088195,88178844,88211444,88227538,88308356,88676200,88682985,88792436,88889156,88896863,88902195,88964748,88983290,89003654,89522147,89566533,89661764,89662803,89888603,89981530,90425247,90570642,90638608,90699974,90714755,90875075,90963062,91428220,91727195,91979435,92002454,92281743,92406183,92485743,92540804,92830803,92937014,93079900,93449056,93522662,93771494,93966968,94180644,94254404,94347062,94510214,94546039,94583075,94595184,94728876,94779400,94829008,94916823,94952634,95201924,95397254,95489563,95668750,96334724,96434100,96501014,96733862,96814599,97194746,97250168,97354103,97531125,97613064,97855967,97896759,98030895,98049903,98173114,98253062,98263194,98311374,98366199,98449065,98618442,98766940,98771174,98866676,98969874,98991062,99026075,99299607,99760725,...,491667621267590835734222627203559233549901849655197212933811937651714589409585043574342651321611757640458534670330318003917056650196338623974743776406537160824074271143063164555238497106860632794108624174790879929658286219509922573341980886175750058402643242931263483943789986009645478192810681357202576607244471096682754201326647075869967387588163776866172111072522875019651327019935267676608705127328383383864464768302563055001804867041000797460153775257004372587496381321162344127008014028706083375700835496106835406035955183796854400295745258070728446343713873659531273457825955574815382262115347909059748759496622290584144746379434672539761421966375113604036438316063816490408238309629711622683077423743714098285014176194163203129925133565742120877105468045209396590963655378378482419774959947295620344540334491953545245199204157092198740566659743091604364959021913994932244663977848560972940750062101994536943224465251600966584560269751464748224628356778747921533415734240897042006577437415001627289530376950279730212852809085046710363643498396266403405111663445858884264288939633920747319689470881466329739693076687367824232231272637758363211799713382023339842474564001951071020310811849189162504036520277676003823851944173232048144807393207307569109463725969801687656115605359564900013192255556600672819995160953510667317181254947522092128915528117396605483191426870427047088913423847401191884410172914667817556979687805167235871780406939696088963830218946613628867401665708830425670238217092846843546438655076023889324262925790933478707770192653112358570485992752542056833721028681551504703353232372929476510267422248332316685072357485876478687048107120009102933577942678380292228354815209399814688810940216126544960386933347410277485499059844731819685825468069189170618302810912358144135821479429753616560083224250160570306399967504009547468080279718702217239518964315453931920916740787324180915468325297956559213608105205205038545760013263278998043308638527679807744364142603942172637050825007777812997886520827087857357722600037174305543386583529708282931179193386907820434705036492062936698820601753560303088109712516095178624435453651815369028575670238542080938460637037563782647801173557605961896096029095233396137854758129875922396110819481532902387250904553696935213771218011874251113781798714746190308604053110532370016821680412998437966452981840372471603990692319504950593915809958431972065327012451768505296553182148196}
15335  1184004423297361955747333146724137346985828227888797224033570945: {61324,122632,137961,597441,842545,872841,1011054,1301605,1501262,1561926,1760305,1852873,1972281,2112366,2144660,2371345,2573592,2786966,2794593,2845614,2862409,2895291,3063800,3105697,3134245,3286705,3341721,3446775,3676560,3761094,3921664,3944046,3981380,4048405,4071662,4136130,4387369,4411872,4436710,4504945,4574401,4657045,4716404,4777656,4858086,4941577,4963356,5113105,5173766,5324052,5374863,5405934,5416945,5588454,5816660,6135726,6221809,6267670,6306097,6335481,6500334,6737720,6782245,6979992,7286132,7388005,7521204,7537477,7579935,7741294,7841905,7852491,7898209,7919702,8056249,8085264,8087881,8138694,8423137,8597605,8755604,8765481,8842822,8865606,8902993,9008710,9095922,9410286,9571593,9955345,10241473,10317126,10407205,10408760,10520341,10648069,10765489,10810452,10910793,11255055,11313860,11706721,11709855,11910805,11946414,12005392,12201529,12244593,12322934,12488646,12490512,12847957,13398875,13506066,13576632,13635217,13709845,13915033,14051826,14292966,14312942,14400553,14457745,14607205,14817176,15055345,15072982,15101041,15115412,15273711,15304777,15369841,15379270,15687201,15837332,16078650,16173646,16247209,16383637,16451814,16669323,16844305,17079686,17150560,17290645,17349294,17528646,17624581,17723209,17803654,17910409,18033745,18066414,18310521,18455124,18600721,18981697,19032961,19141250,19294380,19368805,19399273,19705112,19811374,20104532,20213166,20238169,20257045,20447060,20580672,20653041,20748774,20798017,20848405,20854196,20865649,20894055,21479462,21640494,21893113,22168251,22286992,22624760,22662164,22886809,22969500,23055812,23153256,23221142,23242566,23501605,23795605,23995489,24022441,24200774,24308454,24399862,24500800,24536472,24642644,24751419,24873875,24888553,24952814,25018086,25072866,25202353,25318870,25452855,25579928,25748857,25995505,26047413,26069204,26127589,26390775,26490289,26559993,26725172,27023822,27048632,27116710,27149712,27183673,27322041,27503926,27563400,27603531,27678361,27894805,28150160,28201926,28332145,28554726,28623505,28720760,28777419,28797334,28904084,28911670,29350862,29390101,29400960,29465975,29553902,29808070,29826214,29848650,29932645,30382644,30429711,30543426,31008825,31194606,31305014,31361024,31668930,31838560,32123113,32248261,32252005,32310855,32352681,32374520,32540052,32570564,32685745,32692009,32974705,32998606,33076080,33118693,33173060,33473766,33527833,33596841,33667369,33780192,33821449,33998574,34070101,34273045,34279270,34348206,34417105,34464912,34694004,34885057,35281152,35359170,35420084,35568145,35769684,35818380,35919174,36068961,36142705,36295414,36421335,36752107,37003345,37042753,37051761,37210590,37241720,37289905,37322324,37570273,37617097,37716448,37719445,37843270,38002716,38097733,38206272,38275401,38436932,38605460,38646121,38678233,38702406,38773026,38849424,39017528,39222894,39275077,39502201,39569646,39691296,39807672,39985033,40001329,40431505,40464709,40678897,40680494,40751126,40955156,41127654,41135124,41300526,41356532,41569105,41616553,41702936,41779142,41828569,41896935,42094250,42136945,42219860,42278534,42431004,42562405,42635793,42681774,42730107,42913695,42982056,42987526,43355721,43371246,43570004,43571473,43655809,43695205,43705602,43894719,44119345,44404014,44551281,44652404,44652708,44684305,44690064,44747886,44783631,44872993,44944249,45027993,45107605,45263334,45318392,45389605,45411924,45590132,45774608,46067977,46076902,46105592,46326552,46375345,46576549,46702870,46764697,46814612,46862881,46915803,47162497,47499505,47584436,47823992,47975809,48067777,48354813,48444913,48481045,48508081,48517806,49320805,49600405,49737094,49765695,49787461,49882926,49899092,50167286,50276322,50428952,50513100,50564334,50577745,50600120,50640229,50663832,50712409,50779129,50869175,50983191,51074886,51274645,51359473,51480937,51496434,51831445,51868791,51982484,52117371,52434246,52503010,52640341,52654153,52769001,52943214,52970377,52977716,53083408,53443352,53621166,53738710,53801991,53880640,53913745,54129126,54188809,54296151,54467526,54839361,54914516,55119416,55525593,55650414,55727924,55987045,56043444,56089862,56262805,56732571,56793601,56925135,56996811,56999406,57226705,57592129,57641462,57657094,57914005,58112710,58136686,58177254,58236169,58257332,58476801,58694036,58785097,58874545,59080760,59184966,59244875,59520486,59602161,59718834,59969905,60123771,60238081,60381409,60498561,60570769,60615720,60693294,60694275,60720144,60722121,61043010,61088907,61343953,61463252,61529574,61617553,61770469,62009343,62197734,62729494,62914213,62990353,63003612,63160856,63577417,63580462,63647845,63720335,63783505,63829281,64151444,64206070,64486452,64638275,64656768,64696494,64740560,65112544,65128760,65177007,65408305,65678545,65786966,65801509,65825353,66218545,66240921,66426553,66465855,66625369,66676593,66772441,66806710,66860401,66892645,67184454,67515366,67538775,67668097,67700245,68192685,68194641,68310162,68464657,68536870,68672046,68692741,68963444,68973397,68975655,69194804,69487401,69496806,69662859,69735252,70026644,70515505,70649454,70896912,70925833,70985793,71055963,71093850,71244134,71665381,71774689,71963886,72041360,72092689,72249445,72670250,72738864,72833130,73148295,73251612,73269855,73285153,73292462,73318177,73574032,73697254,74381281,74400121,74634872,74736409,74903845,75004300,75219841,75656324,75833440,75890806,75921272,76111892,76377414,76464402,76540206,76571495,76587913,76851109,77047284,77410705,77565930,77576756,77591675,77688672,77700801,78024848,78154512,78236054,78318993,78364249,78489966,78814254,78855445,79224728,79306414,79308782,79442161,79462254,79611320,79746937,79753881,79759026,79772305,79919684,80168052,80271174,81046530,81147553,81240294,81518072,81730405,81767924,81831222,82004593,82113875,82221097,82240436,82244244,82274470,82736992,82770786,82789935,82793001,82856281,82900945,82931975,82975382,83224760,83434273,83516437,83549845,83795241,83938705,83964231,83978710,84129656,84448942,84618606,84898484,85093897,85151096,85312620,85387593,85401913,85411431,85545286,85688161,86016022,86264305,86449632,86529670,86699334,86947153,87182497,87204300,87399756,87654421,87777954,87923826,87935845,87945681,87973633,88309264,88576945,88811077,88919841,88958582,89083654,89094649,89127819,89293112,89562735,89658255,89851814,89856145,89884614,90005160,90477409,90496009,90707771,91000128,91004005,91029050,91258645,91458932,91495502,91644920,91707831,91885794,92074479,92123782,92206321,92258449,92402545,92427361,92529445,92663593,92892846,93017920,93079116,93110010,93279289,93480853,93494449,93599209,93627855,93945524,93981380,94290644,94626534,94645863,94666273,94767169,95131862,95156408,95156809,95437105,95532326,95533584,95620246,95635472,95726766,95794983,95999631,96005504,96090313,96251977,96332961,96668710,97060814,97145353,97255836,97333753,97436869,97447345,97541761,97733895,97812993,98017621,98073445,98076486,98265409,98453684,98536650,98578981,98690617,98725477,98729364,98849720,98948305,98968417,99096681,99197905,99317344,99322645,99347922,99481134,99489361,99518370,99869712,...,737501431901386253601333940805338850324852774482795819400717906477571884114377565361513976982417636460687802005495477005875584975294507935962115664609805741236111406714594746832857745660290949191162936262186319894487429329264883860012971329263625087603964864396895225915684979014468217289216022035803864910866706645024131301989970613804951081382245665299258166608784312529476990529902901514913057690992575075796697152453844582502707300561501196190230662885506558881244571981743516190512021043059125063551253244160253109053932775695281600443617887106092669515570810489296910186738933362223073393173021863589623139244933435876217119569152008809642132949562670406054657474095724735612357464444567434024616135615571147427521264291244804694887700348613181315658202067814094886445483067567723629662439920943430516810501737930317867798806235638298110849989614637406547438532870992398366995966772841459411125093152991805414836697877401449876840404627197122336942535168121882300123601361345563009866156122502440934295565425419595319279213627570065545465247594399605107667495168788326396433409450881120979534206322199494609539615031051736348346908956637544817699570073035009763711846002926606530466217773783743756054780416514005735777916259848072217211089810961353664195588954702531484173408039347350019788383334901009229992741430266000975771882421283138193373292176094908224787140305640570633370135771101787826615259372001726335469531707750853807670610409544133445745328419920443301102498563245638505357325639270265319657982614035833986394388686400218061655288979668537855728989128813085250581543022327257055029848559394214765401133372498475027608536228814718030572160680013654400366914017570438342532222814099722033216410324189817440580400021115416228248589767097729528738202103783755927454216368537216203732219144630424840124836375240855459599951256014321202120419578053325859278446473180897881375111180986271373202487946934838820412157807807557818640019894918497064962957791519711616546213905913258955576237511666719496829781240631786036583900055761458315079875294562424396768790080361730652057554738094405048230902630340454632164568774142767936653180477723053542863505357813121407690955556345673971701760336408942844144043642850094206782137194813883594166229222299353580876356830545402820656827017811376670672698072119285462906079665798555025232520619497656949679472760558707405986038479257425890873714937647958097990518677652757944829773222294}
15336  1189303940999658042377538552705974187713327566824575056469038991: {76655,91986,107303,153290,183948,260423,352199,443903,566063,718583,796588,901343,1023023,1114199,1163788,1348072,1436978,1516581,1568999,1659743,2082263,2082568,2167346,2251893,2262863,2342889,2473199,2629708,2680825,2816488,2982383,3012263,3077066,3168549,3216990,3258578,3431456,3459503,3726124,3794152,3829750,3860388,3964199,4180449,4259999,4268421,4455628,4595700,4902080,4976725,5014792,5245706,5258728,5288999,5493623,5514840,5641641,5668703,5814383,5882496,5895505,5916069,5930783,5963978,5972070,6107493,6204195,6370208,6477448,6539783,6617808,6655065,6684263,6799703,6858578,6943823,7037066,7074606,7098736,7166484,7207912,7270825,7287129,7445034,7451272,7546943,7571666,7747199,7749578,7760649,7986078,8108901,8180968,8231903,8382681,8402423,8422150,8447308,8459786,8515943,8667112,8724990,8827463,9025199,9107665,9109823,9203589,9306656,9401505,9520778,9587999,9750501,10007999,10028272,10106580,10370543,10469988,10504718,10780352,10842599,10851592,10929198,10944505,11257199,11281806,11450063,11452466,11611941,11687308,11820808,11879553,12127896,12208041,12408503,12547048,12762124,12816263,12965029,13010950,13133406,13193426,13264233,13298409,13384103,13513065,13626383,13643883,13756168,13885778,13894823,14115429,14142325,14413936,14455943,14509199,14547724,14575826,14774999,14919986,15006740,15435146,15475689,15488663,15567599,15613140,15928552,16039703,16215678,16326124,16483199,16632146,16651528,16654016,16794863,16872599,16970790,17241973,17312978,17337503,17482826,17594663,17919621,17978903,18008088,18102176,18160778,18284999,18335903,18484401,18521470,18589943,18732969,18735768,18894265,19057288,19171199,19501118,19796665,19798199,19845578,19873103,19922999,20171999,20246543,20259099,20364948,20515466,20916268,21077739,21438200,21439449,21469413,21682226,21722303,21935752,22062503,22135199,22225764,22304543,22382437,22511306,22609473,22666103,22673118,22786223,23068905,23132392,23171978,23288543,23371528,23455199,23667553,23755998,23881943,24088552,24117975,24164999,24260469,24414028,24606832,24631390,24634199,24677721,25130665,25146623,25216199,25285703,25558825,25619529,25628978,25725840,26023941,26067745,26278706,26292969,26637983,26660663,26705481,26950888,26977343,27099621,27112583,27248978,27440896,27449423,27537388,27650663,27665032,27682686,27858740,28280950,28327705,28382999,28440841,28711875,28819765,28853992,28941570,29014346,29302463,29367599,29492786,29557668,29692199,29717061,29843063,29907599,30156798,30319749,30335999,30591503,30626000,30670590,30803305,30803543,30866999,30871008,30990088,31078226,31123161,31225223,31281294,31434863,31539383,31974910,32219193,32411272,32460741,32586505,32715296,32900303,33001892,33042599,33357448,33406465,33429386,33430488,33446999,33587783,33810790,33888143,33937140,33947999,33993246,34007783,34107263,34140337,34454250,34583718,34640999,34729884,34778423,34831713,34863849,34993583,35071583,35187700,35285423,35413324,35420999,35652503,35863703,35900950,35901578,36054866,36092999,36130105,36199616,36301161,36321143,36429388,36462681,36490069,36513866,36599793,36604703,36661199,36751200,36804708,36963966,37429221,37527129,37602568,37609299,37629023,37775999,37978305,38013743,38072968,38185778,38369892,38718863,38986823,39093503,39103806,39201280,39653593,39690578,39710063,39798200,39840266,39971303,40052782,40087758,40288466,40342393,40468150,40510192,40535733,40572948,40675065,40693199,40713205,40724568,40862999,40998263,41166623,41255889,41329226,41345100,41466325,41592808,41666903,41815583,41845993,41897903,41914343,42192599,42225240,42302889,42387623,42549263,42726143,42803786,42832089,43081140,43136908,43196001,43203623,43243346,43356126,43361183,43367505,43386736,43535666,44026293,44090999,44101440,44125333,44198183,44243999,44263946,44275105,44330853,44517383,44631688,44712105,44739321,44772975,44795788,44843978,44922599,45040256,45100823,45331432,45395303,45483023,45573966,45701063,45758903,45797608,45815139,45917303,45953216,46017599,46258672,46344383,46447982,46485143,46552150,46611143,46652905,46762933,46791909,46855946,46888823,46902623,46957521,47041536,47067599,47135999,47145560,47380583,47503395,47692912,47757840,47782463,47835503,47875199,47892232,48046165,48091948,48098783,48130654,48229489,48256825,48423383,48561780,48653999,48771910,48810078,48855846,48980306,49057583,49280999,49367183,49402348,49403999,49497909,49614120,49683863,49759590,49820978,49828199,49864103,50125199,50160503,50210649,50285521,50378546,50517578,50670288,50941696,50997861,51008543,51033868,51152999,51186143,51193945,51339863,51348746,51418905,51502823,51522309,51603208,51642599,51674663,51695665,51695999,51697368,51799232,51802199,52041006,52084943,52128670,52270199,52297192,52543223,52692383,52759528,52774825,52868999,52888463,52921728,53038755,53076896,53130126,53176583,53267978,53403986,53595263,53654526,53686103,53713199,53727570,53874263,53878761,53997743,54006503,54110999,54128303,54180023,54321817,54392423,54443121,54462505,54681383,54713783,54754103,54762143,54836872,54846832,54897599,54991823,55067368,55115663,55265749,55452983,55518503,55561823,55661783,55682999,55753199,55808783,55815505,55815885,55862580,55972463,55983486,56157599,56189999,56273303,56441999,56533199,56574672,56640263,56647990,56651999,56764905,56841023,56847724,56863343,56891063,56909032,56973476,56987665,56989199,57004074,57005303,57026663,57105623,57121199,57218260,57309408,57312263,57360623,57370199,57440773,57500903,57554999,57631990,57655398,57655463,57735263,57780143,57807628,57808199,57828328,57839783,57878543,57908190,57931463,57942578,57979199,58032599,58053609,58073546,58084199,58159539,58159823,58219103,58234223,58274136,58278383,58281263,58295543,58306823,58328999,58377023,58402583,58407599,58478999,58505543,58518265,58526292,58591199,58596623,58617599,58620983,58649999,58660583,58735223,58753703,58754543,58772303,58783583,58789943,58790999,58797863,58834341,59205352,59354469,59401708,59420569,59480545,59536944,59586752,59663848,59711508,59779990,59891978,60037324,60351112,60549232,60662666,60704677,61020741,61046066,61126689,61432734,61682186,61691481,61702686,61768736,61935626,61950789,62034798,62314706,62373865,62440778,62554404,62566706,62668713,62943626,63036190,63141375,63250150,63329790,63417801,63646506,64022661,64190113,64377278,64473084,64481289,64690408,64978105,65055026,65056869,65305513,65355006,65558403,66034226,66222145,66354260,66431113,66510568,66606021,66641546,66804190,66978606,66979062,67035096,67121829,67350800,67419112,67485746,67551776,67895001,67964978,67977588,68084426,68099848,68117886,68271742,68385198,68395129,68643145,68661912,68899270,69115353,69158388,69321637,69489828,69659905,69912328,70054305,70221918,70358668,70590952,70907978,71023826,71328313,71370506,71376654,71494888,71735988,72059978,72172168,72394868,72623368,72776709,72821665,73119148,73197578,73367545,73613449,73850950,74034124,74200552,74209106,74507209,74605641,74724592,74824389,74848638,75250929,75414483,75539666,75643428,75769650,75846501,75900180,75995748,75999208,76523978,76612329,76829065,77244651,77270606,77496626,77569672,77969068,77973726,78031946,78131473,78651369,78754515,78913288,78951070,79360648,79414821,79455013,79466574,79469548,79625112,79825106,80165028,80189305,80240978,80431749,80608065,80664748,80820960,80924392,80925700,80960192,80962828,81193689,81270578,81390680,81410950,81451876,81701289,82039432,82285778,82371774,82679124,82930312,83261857,83286578,83385866,83475621,83591886,83681038,83781578,84004816,84065166,84134793,84760778,85098574,85105708,85499109,85725578,85981936,86107466,86204305,86209024,86261992,86462193,86485641,86493505,86902676,87169065,87205029,87265881,87385998,87533305,88041054,88321228,88442066,88560769,88621140,88624946,88777449,88902124,89280729,89350706,89530706,89533873,89578251,89579272,89900377,90020488,90051700,90862346,90923580,90926188,90957433,91039941,91080216,91218302,91562728,91564515,91732106,91967540,91990226,92194878,92294361,92593897,92649868,92662408,92883812,92925578,92980336,93293590,93296601,93755375,93760778,93889081,94090826,94094241,94199272,94505418,94529216,94570405,94647724,94741284,94791800,94901590,95139865,95370693,95409013,95951848,96087817,96179978,96227166,96238513,96309105,96729678,96880466,96970945,96985152,97044741,97110840,97207462,97264586,97531060,97668816,97693140,97910293,98185958,98680449,99030910,99276626,99514150,99899605,99995186,...,1106252147852079380402000911208008275487279161724193729101076859716357826171566348042270965473626454691031703008243215508813377462941761903943173496914708611854167110071892120249286618490436423786744404393279479841731143993897325790019456993895437631405947296595342838873527468521702325933824033053705797366300059967536196952984955920707426622073368497948887249913176468794215485794854352272369586536488862613695045728680766873754060950842251794285345994328259838321866857972615274285768031564588687595326879866240379663580899163542922400665426830659139004273356215733945365280108400043334610089759532795384434708867400153814325679353728013214463199424344005609081986211143587103418536196666851151036924203423356721141281896436867207042331550522919771973487303101721142329668224601351585444493659881415145775215752606895476801698209353457447166274984421956109821157799306488597550493950159262189116687639729487708122255046816102174815260606940795683505413802752182823450185402042018344514799234183753661401443348138129392978918820441355098318197871391599407661501242753182489594650114176321681469301309483299241914309422546577604522520363434956317226549355109552514645567769004389909795699326660675615634082170624771008603666874389772108325816634716442030496293383432053797226260112059021025029682575002351513844989112145399001463657823631924707290059938264142362337180710458460855950055203656652681739922889058002589503204297561626280711505915614316200168617992629880664951653747844868457758035988458905397979486973921053750979591583029600327092482933469502806783593483693219627875872314533490885582544772839091322148101700058747712541412804343222077045858241020020481600550371026355657513798334221149583049824615486284726160870600031673124342372884650646594293107303155675633891181324552805824305598328716945637260187254562861283189399926884021481803180629367079988788917669709771346822062666771479407059803731920402258230618236711711336727960029842377745597444436687279567424819320858869888433364356267500079245244671860947679054875850083642187472619812941843636595153185120542595978086332107141607572346353945510681948246853161214151904979770716584580314295258036719682111536433334518510957552640504613414266216065464275141310173205792220825391249343833449030371314535245818104230985240526717065006009047108178928194359119498697832537848780929246485424519209140838061108979057718886138836310572406471937146985778016479136917244659833441}
15337  1194626990347209953488029442443267052429476063411858453308136960: {122648,137979,229935,245264,275922,995735,1179563,1194882,1454735,1685090,1745682,1822247,2022108,2155467,2189759,2464427,2603210,3002524,3123852,3199163,3251019,3287135,3319883,3382847,3520610,3705746,3944562,4224732,4289320,4387943,4601387,4615599,4657655,4742690,4825485,4887867,5147184,5522939,5569535,5573932,5589186,5667767,5691228,5724818,5744625,5790582,6127600,6211394,6222623,6268490,6306923,6519863,6573410,6683442,6893550,7158347,7353047,7353120,7522188,7583723,7843328,7868559,7888092,7962760,8057303,8096810,8143324,8272260,8424239,8774738,8823744,8873420,8945967,8958105,9004043,9009890,9148802,9314090,9334247,9432808,9495143,9555312,9716172,9883154,9926712,10226210,10287867,10343207,10347532,10521719,10555599,10559135,10611909,10648104,10749726,10811868,10833890,10978667,11167487,11167551,11176908,11245883,11357499,11624367,11633320,11900783,11979117,12036647,12103559,12271452,12443618,12535340,12612194,12633225,12670962,12689679,13000668,13000727,13087485,13475440,13564490,13637003,13734023,13937483,13959984,14281167,14570087,14572264,14609135,14776010,15042408,15074954,15103019,15159870,15482588,15683810,15704982,15757077,15796418,15823583,15839404,15952655,16112498,16170528,16175762,16277388,16385783,16393797,16445039,16675127,16846274,16922709,17105339,17178699,17195210,17511208,17513543,17530962,17685644,17731212,17805986,18017420,18184655,18191844,18245183,18758425,18820572,19143186,19193783,19201247,19516425,19700109,19790139,19910690,20240843,20345579,20407655,20450087,20468663,20482946,20634252,20814410,20817520,20828667,20895047,21040682,21077483,21166847,21233003,21296138,21530978,21620904,21821586,21863739,22232363,22379979,22510110,22627720,23147903,23152719,23220923,23413442,23419710,23582027,23821610,23892828,24010784,24206903,24323517,24403058,24489186,24645868,24948219,24977292,24981024,25247243,25456185,25589639,25695914,25873679,25969467,26145335,26224239,26644967,26797750,27012132,27048047,27116327,27153264,27241167,27270434,27419690,27782205,27830066,28103652,28359863,28585932,28625884,28801106,28915490,29187767,29201423,29214410,29251677,29613263,29634352,29768367,29784599,30110690,30145964,30202082,30230824,30517535,30547422,30609554,30739682,30758540,30773199,31374402,31674664,32126159,32157300,32347292,32494418,32523339,32767274,32801687,32902247,32903628,33271103,33313847,33338646,33688610,33766959,33949127,34009677,34159372,34301120,34421735,34472279,34581290,34698588,34734239,34757967,34823425,35057292,35249162,35446418,35607308,35633997,35820818,36067490,36132828,36393707,36621042,36910248,36947085,37201442,37290923,37762607,37800443,37963394,37963679,38065922,38282500,38443467,38588760,38737610,38798546,39052727,39410224,39418059,39622748,39665003,39956159,40072907,40209064,40426332,40476338,40514090,40873467,40894120,41128127,41161344,41252365,41306082,41497548,41524029,41596034,41696810,41708392,41731298,41788110,41905703,41983703,42421425,42958924,43280988,43412355,43521519,43777799,43786226,43868987,43984625,44239179,44266655,44336502,44361227,44573984,45152807,45225263,45235197,45249520,45324328,45536735,45710639,45760043,45773618,45939000,46005885,46111624,46164587,46306512,46442284,46485132,46582703,46617339,46731407,46921941,47003210,47255039,47591210,47962365,47982263,47990978,48044039,48044882,48183947,48401548,48616908,48799724,49001600,49072944,49183199,49285288,49287863,49502838,49747750,49777106,49795403,49905628,50036172,50144079,50145732,50404706,50415083,50599787,50637740,50716185,50905710,50989869,51154343,51159856,51487739,51493559,51497714,51681375,51689759,51804683,51875577,51991010,52056143,52094826,52138408,52205867,52209527,52255178,52781550,52807223,52980578,53031719,53119986,53221079,53450344,53851425,53852367,53921135,54035567,54047644,54082299,54097264,54233420,54299424,54367346,54644082,54765983,54770799,55007852,55126800,55207062,55356722,55445949,55789610,55994735,56300320,56403852,56597903,56604107,56664290,56798663,57109452,57247010,57253079,57278667,57441520,57554838,57594668,57808168,57823340,58196747,58655709,58701724,58749263,58780202,58801920,58931950,58991723,59107804,59535867,59587367,59616140,59652428,59697300,59760399,59865290,59932847,60079173,60114935,60131637,60149087,60432699,60446423,60563963,60697559,60702225,60765288,60859422,61086852,61173287,61752935,61767083,61993839,62017650,62314043,62389212,62558027,62610028,62722048,63150647,63337860,63496847,63545447,63677120,63792335,64160039,64205679,64246226,64496522,64504010,64621710,64705362,64749040,64865019,64925483,65034189,65080104,65087483,65141128,65194943,65303499,65371490,65384018,65949410,65983199,65997212,66152160,66237386,66346120,66395919,66499307,66947532,67055666,67122119,67193682,67265967,67334738,67560384,67642898,67870703,67873463,67997148,68140202,68360949,68546090,68558540,68696412,68834210,68929824,69037583,69049127,69264887,69388008,69440567,69671973,69770114,69828225,69875387,70283919,70562304,70718340,70808843,70840168,70842539,71059655,71136290,71216845,71297927,71359847,71522825,71539368,71636760,71784503,71838348,71889323,72137922,72195981,72259535,72285410,72301643,72497399,72564023,72590828,72842670,73157865,73215117,73283769,73470459,73504214,73520267,73542863,73730183,74006690,74085506,74103522,74252135,74421180,74483440,74579810,74639385,74644648,74731467,74746463,75046655,75140546,75234194,75432896,75438890,75479243,75567819,75686540,75776367,76005432,76195466,76412544,76550802,76873864,76922159,77023119,77210920,77292242,77356466,77401739,77404812,77546052,77698848,77793599,77973023,78035056,78061509,78076367,78193005,78352847,78374603,78381863,78445788,78550154,78745319,78767927,79004402,79139292,79382592,79615344,79695189,79901967,79970066,80002658,80105979,80117387,80481789,80591355,80863010,80929418,81079607,81357794,81360988,81385403,81502252,81910312,82255308,82270248,82424363,82450223,82601052,82713064,82942825,83138210,83233106,83405872,83549639,83558284,83657138,83793870,83821439,83957867,83975229,84188500,84273890,84439720,84454907,84557068,84637463,84862008,84971985,85124810,85183883,85271586,85363548,85460214,85506111,85827390,85837607,85964112,85975052,86447985,86483097,86711442,86742492,86862285,86913867,87110319,87140008,87142946,87311618,87390410,87411204,87789438,87948335,88238690,88324847,88808028,88925243,89102562,89106983,89208469,89296907,89304808,89305416,89368610,89380128,89495772,89567262,89669985,89745986,89837967,89888498,90055986,90215210,90493585,90526668,90636784,90779210,90823848,90993999,91180264,91291247,91398935,91549216,91569099,91571627,91949963,92135954,92149101,92153804,92211184,92523279,92542655,92554029,92653104,92705963,92750690,92903439,93052197,93153098,93195083,93405740,93472059,93529394,93629224,93649703,93661167,93725762,93831606,93850059,94324994,94415439,94554285,94778927,94780343,94875225,94994685,94999010,95168872,95331959,95469759,95647984,95951618,96135554,96565917,96709626,96889826,96914519,96962090,97016162,97035612,97449743,97461335,97582539,97836779,98032509,98609327,98641610,98721707,99051339,99200810,99209759,99259439,99336935,99474188,99531390,99574922,99765852,99798184,99962319,...,1475002863802772507202667881610677700649705548965591638801435812955143768228755130723027953964835272921375604010990954011751169950589015871924231329219611482472222813429189493665715491320581898382325872524372639788974858658529767720025942658527250175207929728793790451831369958028936434578432044071607729821733413290048262603979941227609902162764491330598516333217568625058953981059805803029826115381985150151593394304907689165005414601123002392380461325771013117762489143963487032381024042086118250127102506488320506218107865551390563200887235774212185339031141620978593820373477866724446146786346043727179246278489866871752434239138304017619284265899125340812109314948191449471224714928889134868049232271231142294855042528582489609389775400697226362631316404135628189772890966135135447259324879841886861033621003475860635735597612471276596221699979229274813094877065741984796733991933545682918822250186305983610829673395754802899753680809254394244673885070336243764600247202722691126019732312245004881868591130850839190638558427255140131090930495188799210215334990337576652792866818901762241959068412644398989219079230062103472696693817913275089635399140146070019527423692005853213060932435547567487512109560833028011471555832519696144434422179621922707328391177909405062968346816078694700039576766669802018459985482860532001951543764842566276386746584352189816449574280611281141266740271542203575653230518744003452670939063415501707615341220819088266891490656839840886602204997126491277010714651278540530639315965228071667972788777372800436123310577959337075711457978257626170501163086044654514110059697118788429530802266744996950055217072457629436061144321360027308800733828035140876685064445628199444066432820648379634881160800042230832456497179534195459057476404207567511854908432737074432407464438289260849680249672750481710919199902512028642404240839156106651718556892946361795762750222361972542746404975893869677640824315615615115637280039789836994129925915583039423233092427811826517911152475023333438993659562481263572073167800111522916630159750589124848793537580160723461304115109476188810096461805260680909264329137548285535873306360955446107085727010715626242815381911112691347943403520672817885688288087285700188413564274389627767188332458444598707161752713661090805641313654035622753341345396144238570925812159331597110050465041238995313899358945521117414811972076958514851781747429875295916195981037355305515889659546444588}
15338  1199973674996707687349378440952765658256436226935271705337446946: {107317,153310,183972,214606,291061,306580,367896,413883,474517,520846,704398,887806,931897,1023157,1132126,1205461,1437166,1478377,1593176,1792323,1802686,2046046,2112661,2228398,2293237,2327576,2527635,2618523,2696144,2873956,3012661,3033162,3137998,3319486,3753155,3904815,4164526,4165136,4171897,4334692,4503786,4525726,4614517,4685778,4946398,5259416,5280915,5361650,5558619,5632976,5916843,5964766,6024526,6105961,6154132,6337098,6433980,6517156,6862912,6919006,6967415,7114035,7232437,7452248,7588304,7659500,7720776,7928398,8005177,8253707,8360898,8383779,8431957,8519998,8536842,8587227,8685873,8856937,8911256,8941717,9191400,9317091,9402735,9804160,9860115,9953450,10025163,10029584,10179155,10340325,10371961,10491412,10517456,10577998,10987246,11029680,11091775,11283282,11337406,11451637,11628766,11764992,11791010,11832138,11861566,11927956,11944140,12145215,12214986,12408390,12437461,12682297,12740416,12750731,12934415,12954896,13079566,13088917,13162107,13235616,13251061,13310130,13368526,13493737,13514835,13599406,13717156,13723203,13887646,13971135,14074132,14149212,14197472,14217877,14297977,14332968,14415824,14541650,14574258,14824731,14890068,14902544,15093886,15143332,15322307,15339315,15490837,15494398,15499156,15521298,15669175,15884857,15972156,16124589,16217802,16250835,16361936,16463806,16765362,16804846,16844300,16894616,16919572,17031886,17334224,17365717,17449980,17654926,18050398,18215330,18219646,18407178,18592597,18613312,18665427,18803010,18918291,19006443,19041556,19175998,19353235,19501002,19799255,20015998,20056544,20213160,20249461,20346735,20741086,20939976,21009436,21138517,21359161,21560704,21685198,21703184,21725461,21858396,21889010,22089961,22107055,22164015,22307797,22514398,22521775,22563612,22612431,22669417,22739805,22813561,22900126,22904932,23223882,23374616,23525715,23557473,23641616,23672377,23694627,23743477,23759106,24168747,24255792,24263643,24380137,24416082,24817006,25080697,25094096,25269411,25524248,25632526,25792815,25930058,26021900,26266812,26296443,26386852,26451971,26528466,26596818,26664661,26708979,26768206,26800597,27003961,27026130,27252766,27287766,27512336,27677161,27715331,27771556,27789646,28230858,28284650,28475497,28673461,28714779,28827872,28911886,29018398,29095448,29151652,29328661,29549998,29839972,29866035,30013480,30724419,30744757,30807335,30870292,30951378,30977326,31135198,31221615,31226280,31470043,31561023,31857104,31944207,32079406,32296467,32431356,32496661,32652248,32681017,32732379,32966398,33264292,33290857,33303056,33308032,33589726,33611903,33745198,33765165,33941580,34311061,34483946,34607161,34625956,34675006,34965652,35018677,35077177,35120163,35129565,35182931,35189326,35600437,35732415,35782355,35839242,35946037,35957806,36016176,36204352,36232057,36321556,36494843,36569998,36604587,36671806,36733779,36968802,37042940,37179886,37358137,37465938,37469161,37471536,37579897,37682455,37788530,38114576,38342398,38448175,38543871,38671417,39002236,39099961,39593330,39596398,39658787,39691156,39734137,39746206,39845998,39995317,40196625,40343998,40347671,40434115,40493086,40518198,40729896,40905651,41030932,41129535,41424661,41524597,41574457,41745099,41832536,41921461,42155478,42313717,42556537,42699215,42876400,42878898,42938826,43124627,43201659,43364452,43373235,43444606,43821615,43871504,44125006,44205877,44270398,44451528,44509135,44609086,44764874,45022612,45166035,45218946,45303123,45332206,45346236,45505657,45549397,45572446,45621107,45723637,45821133,45914331,46068661,46109523,46137810,46264784,46343956,46577086,46619497,46743056,46769051,46910398,46911061,47061603,47335106,47511996,47763886,47853125,48177104,48235950,48329998,48432277,48520938,48741627,48815317,48828056,49079161,49150911,49191157,49213664,49262780,49268398,49355442,49528435,49705237,50007969,50261330,50293246,50432398,50532915,50571406,50582147,50928697,51117650,51195961,51239058,51257956,51451680,51523561,51871935,52047882,52135490,52557412,52585938,52613461,52702777,52850197,52873743,53169627,53275966,53321326,53410962,53642083,53696917,53698655,53731227,53804917,53831737,53901776,53954686,54017461,54101235,54199242,54199657,54225166,54225397,54353017,54403561,54497956,54700777,54773461,54881792,54893161,54898846,54931563,55074776,55080937,55286677,55301326,55330064,55365372,55420597,55717480,55802163,56509237,56561900,56655410,56687797,56739961,56765998,56791477,56859157,56881682,56945091,56998487,57039337,57098883,57118357,57195577,57330037,57423750,57621097,57639530,57685717,57707984,57711061,57797497,57857077,57883140,57891961,58028692,58052855,58106415,58176757,58197819,58232917,58295161,58312297,58401397,58453561,58521961,58553461,58571497,58604926,58626937,58692457,58735198,58746997,58769461,58799161,58811257,58812661,58813561,58985572,59115336,59384398,59428343,59434122,59686126,59815198,60313596,60501935,60639498,60671998,60712619,60714507,60771135,60999655,61183006,61252000,61341180,61606610,61607086,61733998,61742016,61959123,61980176,61985147,62156452,62246322,62382035,62394051,62450446,62545215,62562588,62596947,62682165,62869726,63078766,63297175,63949820,64198511,64438386,64822544,64921482,65173010,65314067,65430592,65679339,65749387,65800606,66003784,66085198,66504753,66714896,66812930,66858772,66860976,66893998,67175566,67264631,67559555,67621580,67776286,67791775,67874280,67895998,67986492,68015566,68214526,68280674,68660427,68759815,68908500,69167436,69281998,69459768,69556846,69663426,69727698,69987166,70143166,70375400,70504815,70570846,70826648,70841998,71305006,71386815,71671523,71727406,71741891,71801900,71803156,71986467,71993335,72067323,72109732,72185998,72260210,72279175,72373931,72399232,72602322,72642286,72858776,72925362,72980138,73027732,73199586,73209406,73322398,73377155,73502400,73609416,73884755,73927932,74254257,74520175,74565535,74621625,74665659,74858442,75054258,75105031,75205136,75218598,75258046,75551998,75607059,75956610,76027486,76145936,76247507,76358565,76371556,76739784,77246571,77437726,77973646,77986515,78141707,78142239,78187006,78207612,78262535,78382767,78402560,79172325,79307186,79381156,79420126,79470867,79596400,79679979,79680532,79782731,79942606,80105564,80175516,80576932,80684786,80830607,80936300,81020384,81071466,81145896,81350130,81386398,81426410,81449136,81551019,81725998,81925571,81966123,81996526,82333246,82496515,82511778,82658452,82690200,82810593,82932650,83035083,83185616,83272763,83333806,83631166,83684415,83691986,83795806,83828686,84385198,84450480,84605778,84775246,84996435,85098526,85452286,85607572,85664178,85698175,85870515,86162280,86273816,86332257,86392002,86407246,86486692,86712252,86722366,86735010,86773472,86834803,87071332,87323411,88052586,88170303,88181998,88202880,88250666,88396366,88397925,88487998,88527892,88550210,88661706,89034766,89263376,89424210,89478642,89545950,89591576,89687956,89797935,89845198,90080512,90201646,90662864,90738535,90790606,90966046,90969347,91147932,91289133,91402126,91517806,91595216,91630278,91834606,91906432,92035198,92517344,92688766,92711003,92895964,92970286,93026475,93104300,93222286,93305810,93525866,93583818,93711892,93777646,93805246,93901379,93915042,94083072,94135198,94271998,94291120,94608175,94761166,95006790,95385824,95515680,95564926,95671006,95750398,95784464,96092330,96100403,96183896,96197566,96261308,96369339,96458978,96513650,96744783,96756015,96846766,96932565,97058043,97123560,97307998,97523867,97543820,97620156,97711692,97881619,97960612,98057235,98076027,98115166,98561998,98734366,98804696,98807998,98924115,98979683,98995818,99228240,99356079,99367726,99519180,99641956,99656398,99728206,...,2212504295704158760804001822416016550974558323448387458202153719432715652343132696084541930947252909382063406016486431017626754925883523807886346993829417223708334220143784240498573236980872847573488808786558959683462287987794651580038913987790875262811894593190685677747054937043404651867648066107411594732600119935072393905969911841414853244146736995897774499826352937588430971589708704544739173072977725227390091457361533747508121901684503588570691988656519676643733715945230548571536063129177375190653759732480759327161798327085844801330853661318278008546712431467890730560216800086669220179519065590768869417734800307628651358707456026428926398848688011218163972422287174206837072393333702302073848406846713442282563792873734414084663101045839543946974606203442284659336449202703170888987319762830291550431505213790953603396418706914894332549968843912219642315598612977195100987900318524378233375279458975416244510093632204349630521213881591367010827605504365646900370804084036689029598468367507322802886696276258785957837640882710196636395742783198815323002485506364979189300228352643362938602618966598483828618845093155209045040726869912634453098710219105029291135538008779819591398653321351231268164341249542017207333748779544216651633269432884060992586766864107594452520224118042050059365150004703027689978224290798002927315647263849414580119876528284724674361420916921711900110407313305363479845778116005179006408595123252561423011831228632400337235985259761329903307495689736915516071976917810795958973947842107501959183166059200654184965866939005613567186967386439255751744629066981771165089545678182644296203400117495425082825608686444154091716482040040963201100742052711315027596668442299166099649230972569452321741200063346248684745769301293188586214606311351267782362649105611648611196657433891274520374509125722566378799853768042963606361258734159977577835339419542693644125333542958814119607463840804516461236473423422673455920059684755491194888873374559134849638641717739776866728712535000158490489343721895358109751700167284374945239625883687273190306370241085191956172664214283215144692707891021363896493706322428303809959541433169160628590516073439364223072866669037021915105281009226828532432130928550282620346411584441650782498687666898060742629070491636208461970481053434130012018094216357856388718238997395665075697561858492970849038418281676122217958115437772277672621144812943874293971556032958273834489319666882}
15339  1205344099057809569903462807825151110630381709986634370608333005: {229965,245296,275958,321909,383225,459870,490528,551844,781269,1056597,1331709,1394029,1698189,1991470,2036629,2155749,2359126,2389764,2587897,2704029,2909470,3069069,3342597,3370180,3491364,3592445,3644494,3780829,4044216,4310934,4379518,4549743,4601989,4706997,4880381,4928854,4979229,5206420,5418365,5981909,6005048,6246789,6247704,6398326,6502038,6520717,6574270,6639766,6755679,6765694,6788589,6894437,7028667,7041220,7354009,7411492,7419597,7692665,7797349,7889124,8042475,8146445,8449464,8578640,8775886,8947149,9005221,9036789,9202774,9231198,9315310,9485380,9505647,9574375,9650970,9775734,9909581,10196429,10294368,10378509,11045878,11139070,11147864,11178372,11335534,11382456,11449636,11489250,11581164,11892597,12255200,12422788,12445246,12481309,12536980,12541347,12613846,12779997,12805263,13039726,13114265,13146820,13290589,13366884,13757369,13787100,14316694,14681197,14706094,14706240,14782789,14909945,14930175,15044376,15167446,15308789,15686656,15737118,15776184,15866997,15925520,16114606,16193620,16286648,16480869,16505789,16544520,16848478,16917197,16924923,17006109,17146445,17443149,17515837,17549476,17592665,17647488,17685181,17686515,17746840,17748207,17792349,17891934,17916210,18008086,18019780,18154841,18297604,18322479,18605597,18612585,18628180,18668494,18865616,18929165,18990286,19110624,19373945,19432344,19619349,19766308,19853424,19965195,20052789,20399109,20452420,20452789,20575734,20686414,20695064,20803469,20831469,21043438,21055375,21111198,21118270,21149465,21223818,21296208,21499452,21562489,21623736,21667780,21812475,21861387,21957334,22333717,22334974,22335102,22353816,22491766,22640829,22714998,22876741,23047529,23241597,23248734,23266640,23281947,23801566,23801945,23958234,24073294,24207118,24277069,24326703,24542904,24695709,24887236,25070680,25093549,25148043,25207269,25224388,25266450,25341924,25379358,25458517,25547829,26001336,26001454,26174970,26261795,26482389,26950880,27075597,27128980,27274006,27322995,27329469,27442909,27468046,27610767,27850757,27874966,27919968,28204515,28562334,28570717,28631165,28763997,29079797,29140174,29144528,29218270,29251503,29552020,29779669,29828381,30023997,30084816,30149908,30206038,30319740,30965176,31111629,31169669,31367620,31409964,31514154,31592836,31647166,31655557,31678808,31802837,31905310,32224996,32341056,32351524,32527375,32527797,32554776,32771566,32787594,32788877,32833515,32890078,32983565,33350254,33692548,33771597,33845418,34210678,34350189,34357398,34390420,34398937,34714445,34835823,35022416,35027086,35061924,35371288,35462424,35611972,35638659,36034840,36369310,36383688,36439565,36490366,36603469,36624123,36651389,36660709,37225509,37299965,37516850,37641144,37707197,38286372,38387566,38402494,38433209,38448789,38587865,38895087,39032850,39400218,39580278,39792699,39821380,39895227,40152309,40481686,40539195,40691158,40815310,40879149,40900174,40931649,40937326,40965892,41268504,41580365,41627597,41628820,41635040,41657334,41684469,41790094,42081364,42154966,42241109,42333694,42346287,42426975,42466006,42592276,42724549,42789497,43061956,43241808,43282445,43367829,43527597,43643172,43707065,43727478,44324997,44325797,44464726,44553209,44759958,45020220,45255440,45401945,46295806,46303675,46305438,46427067,46441846,46465989,46702797,46826884,46839420,47164054,47614829,47643220,47785656,48021568,48119109,48190429,48413806,48647034,48752795,48806116,48978372,49130357,49291736,49449597,49613945,49896438,49954584,49962048,50384589,50494486,50617797,50912370,51179278,51288665,51357421,51373157,51391828,51692149,51725919,51747358,51938934,52012509,52063021,52290670,52448478,52783989,53289934,53595500,53758863,53936709,54024264,54096094,54205565,54232654,54306528,54482334,54540868,54839380,54854997,55007709,55453203,55564410,55660132,55769829,56198907,56207304,56278265,56622457,56682795,56719726,57171864,57172501,57251768,57513597,57602212,57753311,57830980,57923389,57929945,58187309,58375534,58402846,58428820,58503354,59112581,59226526,59268704,59389995,59394597,59536734,59569198,59619309,59768997,60221380,60282329,60291928,60404164,60461648,60515997,60739629,60777297,61035070,61087897,61094844,61219108,61273369,61282229,61479364,61517080,61546398,61578475,61973317,62319029,62748804,63233217,63349328,63395029,63751429,63923981,64072445,64252318,64314600,64318347,64408239,64694584,64988836,65046678,65166909,65510681,65534548,65603374,65660941,65696765,65804494,65807256,66187509,66405597,66542206,66627694,66677292,66913629,67147311,67289797,67377220,67533918,67828419,67898254,67998309,68019354,68122445,68318744,68358669,68602240,68837369,68843470,68944558,69162580,69206715,69397176,69468478,69515934,69646850,69865629,70114584,70365597,70498324,70626677,70702375,70892836,71002659,71181469,71214616,71267994,71641636,71645829,72134980,72265656,72353925,72494997,72535865,72781407,72787414,73242084,73243981,73487381,73643869,73731965,73820496,73894170,73902597,74033163,74338309,74402884,74581846,75390557,75391995,75439869,75489589,75525214,75600886,75648597,75857109,75926788,75927358,75942329,76131844,76565000,76676475,76858587,76886934,77048569,77177520,77475220,77597092,77695565,78071823,78105454,78203235,78392629,78545021,78820448,78836118,78878907,79245496,79330006,79912318,79913949,79937275,79981989,80116443,80145814,80416549,80418128,80829797,80852664,80932029,80952676,80963497,81028180,81298863,81337749,81746934,81788240,82256254,82322688,82348269,82504730,82612164,82878269,82951989,82995096,83048058,83192068,83393620,83416784,83462596,83573465,83576220,83811406,83967406,84160909,84526975,84842850,84960109,84983115,85148997,85159337,85322523,85917848,86135625,86454109,86459295,86561976,86824710,87043038,87555598,87570829,87572452,87583429,87737974,87907389,87969250,88102797,88336729,88478358,88533310,88673004,88722454,89076597,89147968,89151183,89309269,89529189,89722797,89752375,89753945,89828969,90137165,90305614,90450526,90470394,90499040,90501917,90648656,90871097,90959247,91007997,91055597,91073470,91284665,91303309,91421278,91520086,91547236,91774509,91878000,92011770,92223248,92329174,92376581,92409915,92410629,92545241,92600997,92613024,92884568,92970264,93165406,93234678,93346277,93369483,93462814,93675669,93843882,94006420,94304589,94510078,94618149,95182420,95182637,95464445,95787149,95924730,95936149,95964526,95981956,96088078,96089764,96182749,96367894,96657579,96803096,97233816,97267829,97382223,97599448,97759515,98003200,98145888,98366398,98570576,98575726,98700909,99005676,99127797,99226445,99291389,99483517,99495500,99554212,99590806,99600665,99703583,99811256,...,3318756443556238141206002733624024826461837485172581187303230579149073478514699044126812896420879364073095109024729646526440132388825285711829520490744125835562501330215676360747859855471309271360233213179838439525193431981691977370058370981686312894217841889786028516620582405565106977801472099161117392098900179902608590858954867762122279866220105493846661749739529406382646457384563056817108759609466587841085137186042300621262182852526755382856037982984779514965600573917845822857304094693766062785980639598721138990742697490628767201996280491977417012820068647201836095840325200130003830269278598386153304126602200461442977038061184039643389598273032016827245958633430761310255608590000553453110772610270070163423845689310601621126994651568759315920461909305163426989004673804054756333480979644245437325647257820686430405094628060372341498824953265868329463473397919465792651481850477786567350062919188463124366765140448306524445781820822387050516241408256548470350556206126055033544397702551260984204330044414388178936756461324065294954593614174798222984503728259547468783950342528965044407903928449897725742928267639732813567561090304868951679648065328657543936703307013169729387097979982026846902246511874313025811000623169316324977449904149326091488880150296161391678780336177063075089047725007054541534967336436197004390973470895774121870179814792427087011542131375382567850165610969958045219768667174007768509612892684878842134517746842948600505853977889641994854961243534605373274107965376716193938460921763161252938774749088800981277448800408508420350780451079658883627616943600472656747634318517273966444305100176243137624238413029666231137574723060061444801651113079066972541395002663448749149473846458854178482611800095019373027118653951939782879321909467026901673543973658417472916794986150836911780561763688583849568199780652064445409541888101239966366753009129314040466188000314438221179411195761206774691854710135134010183880089527133236792333310061838702274457962576609665300093068802500237735734015582843037164627550250926562417859438825530909785459555361627787934258996321424822717039061836532045844740559483642455714939312149753740942885774110159046334609300003555532872657921513840242798648196392825423930519617376662476173748031500347091113943605737454312692955721580151195018027141324536784583077358496093497613546342787739456273557627422514183326937173156658416508931717219415811440957334049437410751733979500323}
15340  1210738367095105887812360014972840398746727777041184598965216202: {168619,214634,306620,367944,413937,429212,582122,613160,627259,689805,735792,810211,827766,949034,1041692,1084099,1408796,1629931,1720651,1775612,1863794,2046314,2264252,2410922,2533891,2713819,2874332,2893459,2956754,2987205,3186352,3519931,3538689,3584646,3605372,3609139,3876331,3965251,4092092,4212725,4225322,4364205,4456796,4586474,4655152,5055270,5237046,5254417,5392288,5466741,5728531,5747912,5815939,5990539,6025322,6066324,6275996,6466401,6508025,6569277,6599371,6638972,6686059,6859219,7393281,7506310,7548979,7809630,8234131,8329052,8330272,8343794,8404699,8660011,8669384,8744971,8801525,8829859,9007572,9051452,9084091,9229034,9264365,9371556,9422059,9597489,9753057,9754381,9861405,9892796,9959649,10010731,10148541,10261939,10512499,10518832,10561830,10723300,11117238,11265952,11590771,11833686,11856725,11920099,11929532,12049052,12211922,12308264,12674196,12867960,13034312,13163829,13387819,13710811,13725824,13804161,13838012,13846797,13934830,13952299,13972965,14228070,14250817,14312045,14464874,14476455,14513251,14593099,14663601,14904496,15176608,15319000,15441552,15528485,15545659,15624571,15671225,15856796,16010354,16433525,16487851,16507414,16568817,16708605,16721779,16721796,16767558,16799611,16863914,17003301,17039996,17073684,17174454,17233875,17371746,17713874,17727979,17822512,17883434,18035131,18108181,18111739,18341131,18382800,18634182,18667869,18805470,18920769,19176691,19559589,19608320,19628779,19720230,19853851,19906900,19928731,20003539,20050326,20059168,20242025,20358310,20373617,20525179,20680650,20743922,20747659,20895619,20982824,21034912,21155996,21475041,21484579,21777331,21936845,21974492,22059141,22059360,22183550,22214299,22524725,22566564,22674812,22751169,22872005,22903274,23257532,23285225,23438299,23529984,23582020,23605677,23664276,23723132,23855912,23888280,24171909,24219211,24290430,24429972,24707885,24816780,24874922,25200499,25270051,25272717,25364594,25408939,25480832,25501462,25565525,25868830,25909792,26159132,26177834,26324214,26373091,26471232,26502122,26620260,26714011,26737052,26837901,26874315,26985451,26987474,27012129,27029670,27084725,27094529,27198812,27434312,27446406,27591979,27718957,27775292,27792859,27926419,27942270,28002741,28148264,28298424,28391611,28394944,28435754,28485429,28595954,28665936,28831648,29050051,29083300,29148516,29311411,29649462,29780136,29805088,29959771,30187772,30286664,30345331,30409339,30600931,30644614,30678630,30855379,30863601,30949877,30981674,30988796,30998312,31029621,31042596,31045459,31109045,31234891,31297891,31338350,31486459,31530485,31549171,31565157,31666797,31677405,31769714,31835727,31944312,32249178,32419579,32435604,32501670,32604259,32723872,32927612,32936001,33502461,33502653,33530724,33609692,33688600,33737649,33789232,33839144,33911225,33998611,34058371,34063772,34072497,34118059,34415419,34668448,34731434,34873101,34899960,35121739,35172401,35309852,35471011,35528971,35702349,35702419,35937351,36100796,36104611,36109941,36310677,36332851,36430660,36439292,36446539,36673051,36814356,36940025,37122619,37185194,37191869,37226624,37330854,37606020,37687385,37836582,37843339,37899675,38012886,38069037,38083112,38280811,38351996,38706470,38767459,39002004,39002181,39035299,39209525,39262455,39491045,39598510,39723259,39984619,40031996,40113088,40244179,40281245,40347499,40426320,40439405,40498922,40655731,40693470,40706851,40911009,41202069,41482172,41664451,41714131,41763739,41812449,41879952,41912131,42018872,42115685,42277034,42450691,42718322,42740779,42843501,42988025,43121408,43130269,43218499,43370396,43406368,43450922,43548619,43710261,43716792,43778020,43827405,44014099,44179922,44214110,44244139,44328030,44514965,44615594,44743891,44833819,44968171,45028796,45043550,45127224,45224862,45279139,45309057,45338834,45479610,45499099,45627122,45800252,45809864,45933619,46276051,46447764,46749232,47051430,47114946,47153011,47271231,47275699,47283232,47344754,47357131,47389254,47470749,47486954,47518212,47720011,47857965,48077059,48337494,48466939,48505531,48511584,48527286,48659179,48735571,48760274,48832164,49157349,49181391,49335117,49634012,49702459,49776725,49846891,50025381,50095297,50161394,50188192,50202931,50308339,50538822,50768127,51028051,51048496,51207365,51265052,51316017,51536097,51585630,51716011,51747979,51860116,51906739,51969739,52036025,52043800,52125979,52157011,52463371,52533624,52540629,52583899,52592886,52601705,52673539,52755437,52773704,52903942,52909411,53025619,53056932,53083291,53112019,53193636,53226211,53240345,53329322,53367331,53417958,53536412,53601194,53649101,53671459,53752891,53827445,54007922,54045931,54052260,54124339,54150331,54431491,54505532,54506659,54553965,54575532,54735549,54752539,54991219,55014691,55024672,55335739,55354322,55358131,55430662,55490971,55512859,55543112,55556419,55578091,55579292,55621219,55706611,55790851,56136019,56194771,56275275,56367139,56404651,56460379,56461716,56569300,56607761,56676811,56949259,56950994,56982019,57030619,57187939,57341537,57346922,57396091,57429558,57438859,57508699,57581349,57603741,57655744,57681859,57806779,57823772,58036796,58077211,58118251,58190896,58252819,58261891,58303304,58340299,58348651,58435771,58507411,58514179,58527499,58533605,58549275,58601371,58634419,58649971,58655011,58657322,58713979,58772731,58783531,58795411,58799659,58805491,58807291,58813771,58821331,58828459,59099996,59100327,59370417,59554025,59679944,59732070,59778901,60026960,60722529,61007645,61036737,61222965,61350261,61405989,61448838,61489514,61614670,61740584,61902756,61954652,62270396,62312789,62443230,62452560,62486001,62685141,62940086,63122046,63232449,63395189,63500541,63699009,63714208,63888414,64158812,64239785,64592934,64862712,64993322,65304496,65362034,65464758,65591217,65757989,65932796,66528584,66581714,66606112,66616064,66697089,66994375,67139937,67179452,67223806,67490396,67530330,67883160,68176085,68549225,68622122,68967892,69214322,69251912,69339809,69350012,69443709,69458157,69575165,69662769,69931304,70037354,70154354,70240326,70259130,70365862,70378652,70746081,71200874,71464830,71564710,71678484,71751277,71892074,71915612,72002765,72032352,72288725,72408704,72464114,72620709,72643112,72970551,72989686,73036025,73139996,73209174,73343612,73467558,73484609,73937604,74085880,74359772,74716274,74844657,74931876,74938322,74943072,75114857,75159794,75178117,75276725,75364910,75505205,75577060,75741729,75789197,76229152,76368555,76523885,76684796,76768917,76849205,76896350,77087742,77342834,77621037,77703821,77908401,78004472,78199922,78436005,78672717,79186660,79192796,79317574,79382312,79468274,79492412,79691996,79934901,79990634,80393250,80687996,80695342,80868230,80986172,81036396,81144141,81236045,81273997,81348981,81459792,81723501,81811302,81918185,82061864,82259070,82849322,83049194,83148914,83346615,83490198,83665072,83842922,83940917,84221525,84310956,84627434,84702709,85079589,85113074,85398430,85399517,85752800,85757796,85877652,86249254,86403318,86453225,86728904,86746470,86846177,86889212,87334849,87563301,87604269,87643230,87743008,87755031,88122905,88250012,88411754,88540796,88616045,88839789,88903056,89018270,89218172,89305101,89353797,89529748,89552045,90045224,90168725,90332070,90437892,90606246,90664412,90692472,91011314,91098794,91144892,91242214,91447274,91552605,91642266,91828662,92137322,92219046,92275620,92319597,92529568,92687912,93003605,93154172,93238994,93486112,93538102,93820796,93822122,94123206,94583377,94670212,94908485,95023992,95164805,95527081,95527772,95706250,96263741,96354208,96378477,96471900,96659996,96844025,96864554,96996365,97041876,97483254,97570017,97630634,97656112,98158322,98301822,98382314,98405061,98427328,98525560,98536796,98706741,98710884,99056870,99410474,99813309,99941541,...,4425008591408317521608003644832033101949116646896774916404307438865431304686265392169083861894505818764126812032972862035253509851767047615772693987658834447416668440287568480997146473961745695146977617573117919366924575975589303160077827975581750525623789186381371355494109874086809303735296132214823189465200239870144787811939823682829706488293473991795548999652705875176861943179417409089478346145955450454780182914723067495016243803369007177141383977313039353287467431890461097143072126258354750381307519464961518654323596654171689602661707322636556017093424862935781461120433600173338440359038131181537738835469600615257302717414912052857852797697376022436327944844574348413674144786667404604147696813693426884565127585747468828169326202091679087893949212406884569318672898405406341777974639525660583100863010427581907206792837413829788665099937687824439284631197225954390201975800637048756466750558917950832489020187264408699261042427763182734021655211008731293800741608168073378059196936735014645605773392552517571915675281765420393272791485566397630646004971012729958378600456705286725877205237933196967657237690186310418090081453739825268906197420438210058582271076017559639182797306642702462536328682499084034414667497559088433303266538865768121985173533728215188905040448236084100118730300009406055379956448581596005854631294527698829160239753056569449348722841833843423800220814626610726959691556232010358012817190246505122846023662457264800674471970519522659806614991379473831032143953835621591917947895684215003918366332118401308369931733878011227134373934772878511503489258133963542330179091356365288592406800234990850165651217372888308183432964080081926402201484105422630055193336884598332199298461945138904643482400126692497369491538602586377172429212622702535564725298211223297222393314867782549040749018251445132757599707536085927212722517468319955155670678839085387288250667085917628239214927681609032922472946846845346911840119369510982389777746749118269699277283435479553733457425070000316980978687443790716219503400334568749890479251767374546380612740482170383912345328428566430289385415782042727792987412644856607619919082866338321257181032146878728446145733338074043830210562018453657064864261857100565240692823168883301564997375333796121485258140983272416923940962106868260024036188432715712777436477994791330151395123716985941698076836563352244435916230875544555345242289625887748587943112065916547668978639333764}
15341  1216156584130090965960809033218567007228340953599285496853057802: {321951,383275,459930,490592,536515,551916,643818,766450,873183,919740,981056,1103688,1241649,1302115,1423551,1562538,1760995,1853599,2113194,2219515,2663418,2788058,2795691,2830315,2863531,3069471,3396378,3592915,3616383,3872671,3982940,4073258,4311498,4423723,4435131,4506715,4718252,4779528,5029423,5115115,5175794,5216959,5376969,5408058,5570995,5767723,5818940,6138138,6337983,6685194,6685663,6740360,6879711,6895339,6982728,7184890,7230751,7288988,7561658,7582905,7585711,7844995,7855569,8088432,8147971,8298715,8621868,8759036,8906491,9037983,9099486,9203978,9413994,9615523,9760762,9857708,9910879,9958458,10197763,10245499,10411315,10412840,10769731,10836730,10899631,11248831,11259465,11314315,11405023,11711323,11714445,11917279,11963818,12010096,12206323,12365995,12493578,12495408,12515691,12796652,13004076,13041434,13148540,13279532,13404125,13511358,13531388,13577178,13759171,13788874,13843551,14057334,14082440,14406211,14708018,14822984,14839194,14911915,14920939,15061315,15375883,15385330,15594698,15778248,15827731,15842745,16084950,16253611,16292890,16507951,16675857,16898928,17109823,17157280,17252191,17297515,17551772,17750529,17894298,18010442,18073578,18157219,18317883,18359971,18405548,18462396,18630620,18914731,18970760,19011294,19040443,19148750,19301940,19406899,19551468,19819162,19820995,19993051,20392858,20588736,20706463,20757018,20873923,20902245,21299995,21342105,21505051,21697311,21901759,22091756,22238191,22278140,22295728,22356744,22671068,22764912,22895851,22899272,22978500,23153971,23162328,23453083,23785194,24005023,24015531,24510400,24629731,24761121,24845576,24883625,24890492,24962618,25073960,25082694,25109323,25151337,25227692,25295871,25559994,25610526,25650379,25759003,25761681,26057619,26079452,26203771,26228530,26293640,26444995,26500831,26570811,26581178,26733768,26825151,27123523,27468115,27514738,27574200,27679723,27951273,28208205,28343515,28633388,29071915,29362394,29412188,29412480,29477525,29565578,29580345,29609251,29653915,29819890,29860350,30075489,30088752,30161659,30334892,30537465,30617578,31020975,31115883,31373312,31381219,31474236,31552368,31733994,31807039,31851040,32135851,32229212,32387240,32573296,32698915,32914531,32961738,33011578,33089040,33121759,33275325,33322723,33421315,33696956,33834394,33834811,33849846,33998515,34012218,34292890,34354911,34719115,34886298,34898803,35031674,35098952,35185330,35251723,35294976,35349091,35370362,35370523,35373030,35493680,35496414,35584698,35783868,35832420,36016172,36039560,36309682,36354125,36435645,36595208,36644958,36766513,36867979,37057471,37211194,37225170,37256360,37312383,37336988,37585171,37731232,37734715,37858330,37965331,37980572,38039419,38046891,38221248,38252193,38735995,38747890,38750491,38803245,38864688,38949091,39179071,39238698,39266751,39486321,39532616,39674239,39706848,39753183,39930390,40017091,40083631,40105578,40481211,40544505,40798218,40904840,40905578,41151468,41159515,41169609,41372828,41390128,41606938,41662938,41845051,41913405,42011131,42012115,42086876,42110750,42222396,42236540,42298930,42447636,42579715,42592416,42611371,42653631,42893931,42954763,42998904,43124978,43247472,43335560,43624950,43673011,43722774,43914668,44137315,44474193,44563051,44565499,44667434,44669948,44670204,44707632,44983532,45125995,45281658,45429996,45538325,45549115,45574411,45753482,45758431,45866491,45966921,46017945,46095058,46176991,46472511,46483194,46488031,46497468,46533280,46563894,47007525,47603132,47603890,47654571,47916468,47939995,47949823,48146588,48373767,48414236,48554138,48600223,48653406,48752505,49085808,49196251,49228891,49391418,49644811,49774472,49794763,49807123,50039995,50141360,50187098,50296086,50414538,50448776,50532900,50683848,50758716,50917034,51015391,51095658,51703531,51783451,51852715,52002672,52002908,52097151,52219951,52349940,52350331,52523590,52964778,53901760,54023011,54151194,54212995,54257960,54548012,54645990,54658938,54722525,54746371,54885818,54910399,54936092,55221534,55701514,55749932,55777791,55839936,55996281,56285995,56409030,56754873,57019329,57124668,57141434,57190111,57247891,57250315,57261571,57262330,57527994,58059705,58159594,58212511,58280348,58289056,58436540,58503006,59104040,59397765,59559338,59656762,59775451,60047994,60169632,60299816,60412076,60595423,60639480,60713731,60748383,61040205,61162363,61189891,61368571,61795051,61930352,62042515,62223258,62327263,62330719,62339338,62735240,62819928,62939059,62971711,63015331,63028308,63185672,63294332,63311114,63357616,63415551,63562723,63605674,63810620,64077483,64081315,64316491,64439731,64449992,64682112,64703048,64825145,65054750,65055594,65109552,65176383,65543132,65575188,65577754,65667030,65780156,65851819,65967130,66269883,66321165,66390019,66492045,66651691,66700508,66920515,66923391,67337731,67385096,67543194,67565325,67690836,67837293,68008251,68131915,68219415,68253913,68421356,68440683,68491903,68513251,68700378,68714796,68780840,68797874,69349171,69428890,69459523,69474115,69671646,69860323,70028659,70044832,70054172,70123848,70361371,70577145,70672419,70711625,70742576,70924848,70954411,71017131,71083881,71223944,71230431,71277318,71609323,71693683,71804131,71908639,72069680,72121171,72279715,72506241,72544351,72545995,72738620,72767376,72790929,72879130,72980732,73140411,73206938,73248246,73302778,73314271,73321418,73543531,73874995,74429503,74451018,74599930,74869411,75033700,75242091,75282288,75400699,75414394,75546523,75717631,75808233,75887791,75952363,76375423,76572744,76618159,76775132,76804988,76866418,76897578,76935883,77175730,77378445,77443315,77790174,77837995,78065700,78249919,78373723,78789571,78790111,78800436,78889329,79005811,79160556,79355913,79373731,79422619,79513951,79585398,79642760,79778443,79790454,79993983,80126937,80198515,80304618,80401791,80963372,81011883,81078390,81101923,81179731,81296011,81382316,81407359,81630620,81758298,81800348,81863298,81874652,81931784,82037791,82415995,82537008,82982779,83031483,83145993,83160730,83255194,83257640,83270080,83314668,83368938,83467891,83571811,83580188,83755219,83961919,83974315,84162728,84309932,84362995,84482218,84667388,84692574,84853950,84932012,85184552,85426491,85449098,85578994,86020383,86123912,86144337,86209865,86402539,86483616,86564890,86687515,86735658,86848723,87055194,87286344,87414130,87454956,87973315,87985983,88649994,88651594,88929452,88949311,89025571,89097931,89106418,89313451,89496991,89519916,89598105,89701423,89894515,90040440,90510880,90803890,91424995,91452031,91679515,91975471,92173257,92234271,92403019,92422005,92591612,92607350,92610876,92701279,92854134,92883692,92931978,92949715,93316723,93405594,93531523,93637291,93653768,93664845,93678840,93787459,94328108,94410129,94471325,94683069,94804291,95229658,95286440,95371423,95571312,95832621,95855995,96043136,96129451,96238218,96380858,96827612,96853531,96889401,97059643,97062559,97294068,97489983,97505590,97577563,97612232,97956744,98043051,98197137,98260714,98305471,98583472,98899194,98983325,98990995,99034171,99227890,99236731,99365515,99614995,99792876,99857131,99872571,99909168,99924096,...,6637512887112476282412005467248049652923674970345162374606461158298146957029398088253625792841758728146190218049459293052880264777650571423659040981488251671125002660431352721495719710942618542720466426359676879050386863963383954740116741963372625788435683779572057033241164811130213955602944198322234784197800359805217181717909735524244559732440210987693323499479058812765292914769126113634217519218933175682170274372084601242524365705053510765712075965969559029931201147835691645714608189387532125571961279197442277981485394981257534403992560983954834025640137294403672191680650400260007660538557196772306608253204400922885954076122368079286779196546064033654491917266861522620511217180001106906221545220540140326847691378621203242253989303137518631840923818610326853978009347608109512666961959288490874651294515641372860810189256120744682997649906531736658926946795838931585302963700955573134700125838376926248733530280896613048891563641644774101032482816513096940701112412252110067088795405102521968408660088828776357873512922648130589909187228349596445969007456519094937567900685057930088815807856899795451485856535279465627135122180609737903359296130657315087873406614026339458774195959964053693804493023748626051622001246338632649954899808298652182977760300592322783357560672354126150178095450014109083069934672872394008781946941791548243740359629584854174023084262750765135700331221939916090439537334348015537019225785369757684269035493685897201011707955779283989709922487069210746548215930753432387876921843526322505877549498177601962554897600817016840701560902159317767255233887200945313495268637034547932888610200352486275248476826059332462275149446120122889603302226158133945082790005326897498298947692917708356965223600190038746054237307903879565758643818934053803347087947316834945833589972301673823561123527377167699136399561304128890819083776202479932733506018258628080932376000628876442358822391522413549383709420270268020367760179054266473584666620123677404548915925153219330600186137605000475471468031165686074329255100501853124835718877651061819570919110723255575868517992642849645434078123673064091689481118967284911429878624299507481885771548220318092669218600007111065745315843027680485597296392785650847861039234753324952347496063000694182227887211474908625385911443160302390036054282649073569166154716992186995227092685575478912547115254845028366653874346313316833017863434438831622881914668098874821503467959000646}
15342  1221598855643143725436774196525257225174906494802317021097266843: {168641,199277,337238,352337,429268,444077,613240,657857,689895,735888,810317,827874,858424,965727,1084241,1114637,1149675,1164244,1205777,1226320,1254518,1266497,1379610,1471584,1539341,1620422,1655532,1660397,1898068,2083384,2168198,2263757,2343807,2744141,2817592,2923757,3169791,3192641,3259862,3441302,3551224,3639341,3727588,3787841,3995127,4054637,4092628,4182087,4232141,4528504,4674641,4821844,4978675,5067782,5094567,5378897,5427638,5583437,5748664,5786918,5897815,5913508,5974410,6109887,6252737,6372704,6467247,6888977,7039862,7077378,7169292,7210744,7218278,7273675,7291841,7406657,7721741,7752662,7763691,7930502,8112087,8184184,8320577,8425450,8434241,8450644,8728410,8859341,8913592,9111235,9113537,9172948,9207207,9310304,9451457,9676097,9872237,10027791,10110540,10374797,10474092,10508834,10777335,10784576,10933482,10948795,10957841,11342487,11457062,11495824,11631878,11757197,11949137,11981078,12050644,12132648,12168017,12322135,12359117,12495377,12551992,12740141,12932802,12970111,13016050,13138554,13146641,13198742,13254737,13277944,13372118,13551341,13649229,13712717,13718438,13805967,14120991,14595137,14621741,14641143,14786562,14860817,14937687,14993357,15012620,15097958,15152141,15547841,15574157,15619260,15995815,16255095,16435675,16468262,16599415,16658104,16660544,16687588,16809398,16879757,16914235,17320022,17338768,17489942,17603050,17659718,17730497,17945727,18015144,18102904,18139841,18168182,18458068,18528730,18740367,18743112,18844118,19194978,19506114,19508762,19562151,19631597,19722810,19785592,19881677,19919298,20006417,20021462,20036863,20255297,20267037,20297082,20365767,20523878,20552897,20683311,20898641,21024998,21037664,21086001,21123660,21291857,21414317,21446600,21731777,21739879,21780497,21939715,22062027,22144877,22217537,22234476,22241741,22258791,22531904,22748177,23006935,23077995,23107757,23181542,23288275,23298797,23392047,23465537,23667372,23713450,23840198,23859064,24077911,24098104,24127425,24246317,24423844,24439335,24616528,25227437,25296977,25348392,25551341,25735920,25896641,26068624,26327658,26718017,26775638,26808641,26841447,27012077,27015663,27110367,27421622,27451648,27608322,27614695,27618497,27676024,27693594,27847675,27869660,27904598,27945930,27952877,28338835,28456140,28501634,28516941,28624090,28682177,28723125,28929748,28952910,29026502,29141741,29186198,29327202,29337617,29381057,29728743,29808992,29921357,30093197,30349997,30353216,30414017,30435341,30589287,30638000,30711583,30881297,30883104,30944717,31056970,31091318,31113115,31135527,31249142,31302737,31342450,31534615,31713592,32020708,32020807,32321741,32547857,32599315,32629841,32867050,32915777,32975702,33014828,33137634,33341741,33417210,33443558,33443592,33535116,33599222,33727828,33844241,33964097,34006602,34023917,34079992,34147368,34348908,34420877,34440641,34467750,34539341,34591039,34657517,34743492,35010317,35127341,35146817,35427748,35455958,35611841,35645024,35677791,35766868,35791735,36070262,36167597,36216362,36223478,36678977,36682262,36735437,36765235,36765600,37016657,37203137,37268364,37335738,37407341,37443927,37592141,37610940,37624041,37757777,37841538,37849517,37918615,38339991,38353382,38415789,38684141,39112877,39119178,39216640,39257558,39342795,39440460,39484241,39707702,39729857,39747341,39813800,39857462,39871767,40007078,40008641,40100652,40118336,40268141,40286515,40354241,40371437,40484050,40508717,40716620,40747234,40883597,41050358,41272107,41361300,41487844,41495318,41538641,41567383,41688077,41787341,41791238,41935697,41965648,42069824,42121195,42311992,42457937,42619457,42950082,42969158,43146797,43552663,43554662,43805357,43873690,43948984,43954027,44037137,44043591,44118282,44118720,44142679,44251841,44267117,44348367,44367100,44428598,44729835,44766737,44790525,44856641,44946257,45020215,45049450,45133128,45287117,45349624,45463277,45502338,45521741,45744010,45806548,45926367,46027841,46085057,46298477,46515064,46570450,46671235,46872641,46876598,46996877,47059968,47164040,47202497,47211354,47284241,47297837,47328552,47365697,47446264,47475715,47600991,47711824,47742017,47776560,47808557,47901377,48343818,48438422,48475841,48580860,48668141,48680897,48859944,49172141,49415770,49431617,49442607,49517367,49633560,49723841,49749844,49892177,49963841,50035217,50188877,50400998,50503697,50540102,50545434,50676077,50729188,50751591,50774769,50817878,50961664,51002924,51018327,51104717,51131050,51215597,51402257,51439335,51445841,51565037,51704657,51716035,51737660,51757997,51768641,51819584,51821741,51916817,52229057,52318264,52329447,52331537,52355668,52547511,52608595,52634177,52648428,52746182,52762339,52777995,52782797,52795675,52890641,52942464,53004244,53055543,53059545,53093837,53132141,53236817,53240520,53244621,53377047,53377997,53428022,53474104,53654957,53675802,53745677,53748630,53772737,53871341,53970902,53974948,54004241,54024258,54056897,54059340,54144017,54169450,54189058,54264641,54397624,54442637,54464523,54649937,54771917,54868624,54892812,54893335,54931757,54967437,55002641,55119341,55183958,55287463,55309841,55421741,55437914,55531841,55550584,55585718,55597037,55632977,55640141,55718417,55788737,55816791,55837435,55837755,55844417,55852838,55884540,56005482,56229415,56296528,56379341,56393743,56441741,56478797,56509457,56596848,56615167,56783222,56787495,56789888,56871508,56961857,56967341,56970858,57043277,57080657,57159437,57174977,57191908,57331872,57349039,57350957,57428141,57521741,57616577,57656141,57663296,57807917,57824141,57848237,57860177,57903341,57937937,57964397,58016141,58048577,58090817,58100102,58121835,58135277,58155341,58166600,58248257,58266641,58297032,58411277,58481837,58493777,58528397,58541741,58573841,58622822,58639937,58669517,58693697,58728641,58729997,58740557,58766957,58799297,58811117,58829357,58836497,58837517,58843217,58843457,58844237,58858047,58961959,59298924,59503915,59560272,59610176,59895585,59919542,60158367,60183235,60375544,60517795,60573328,60690662,60818678,61197327,61201862,61289228,61357260,61358367,61710758,61727202,61899754,61963348,61977592,61996624,62059242,62085192,62090918,62218090,62320951,62410407,62469782,62494407,62595782,62676700,62972918,63060970,63098342,63130314,63166125,63333594,63354810,63403483,63448395,63539428,63671454,63888624,64498356,64687467,64839158,64871208,65003340,65003635,65208518,65437425,65447744,65584161,65855224,65872002,67001151,67004922,67005306,67061448,67219384,67377200,67475298,67578464,67678288,67767271,67822450,67922487,67997222,68116742,68127544,68144994,68185015,68236118,68630223,68670115,68830838,69142587,69336896,69462868,69687415,69724791,69746202,69799920,69845841,70243478,70344802,70619704,70942022,71057942,71404698,71404838,71405835,71690311,71874702,72201592,72209222,72219882,72621354,72665702,72831207,72850435,72861320,72878584,72893078,72980109,73045675,73346102,73494223,73628712,73642387,73880050,74087127,74245238,74370388,74383738,74453248,74536483,74661708,74921587,75212040,75280647,75358423,75374770,75444129,75515095,75621807,75673164,75686678,75799350,76025772,76138074,76166224,76375551,76561622,76643487,76703992,77412940,77534918,77713987,78004008,78004362,78070598,78419050,78524910,78785385,78982090,79117915,79197020,79446518,79447167,79486231,79763275,79969238,80063992,80226176,80488358,80562490,80694998,80852640,80878810,80997844,81226791,81311462,81386940,81413702,81822018,81928915,81947047,81968985,81988407,82225195,82328727,82404138,82832301,82964344,83328902,83375635,83428262,83527478,83552271,83624898,83759904,83824262,83951899,84037744,84231370,84554068,84613545,84901382,85410703,85436644,85481558,85526695,85687002,85712151,85893495,85976050,86242816,86260538,86291991,86436998,86740792,86812736,86845447,86901844,87097238,87239391,87420522,87433584,87556040,87567715,87654810,87754509,88028198,88359844,88428220,88488278,88656060,89029930,89231188,89339007,89485143,89487782,89569051,89667638,89935699,89936342,90057592,90071991,90087100,90254448,90449724,90558278,90618114,90677668,90923275,90959220,90998198,91225915,91254244,91600504,91619728,91867238,92552102,92895528,93334887,93498464,93509007,93792125,93816319,94102860,94229892,94306022,94542462,94551398,94566464,94689508,94714262,94778508,94941498,94966671,94973908,95036424,95408511,95440022,95446519,95715930,95968915,96006235,96154118,96674988,96933878,97011062,97023168,97054572,97318358,97405231,97471142,97520548,97582125,97583391,97664328,98314698,98362782,98366631,98500545,98670234,98950695,99268024,99404918,99553450,99693782,...,9956269330668714423618008200872074479385512455517743561909691737447220435544097132380438689262638092219285327074188939579320397166475857135488561472232377506687503990647029082243579566413927814080699639539515318575580295945075932110175112945058938682653525669358085549861747216695320933404416297483352176296700539707825772576864603286366839598660316481539985249218588219147939372153689170451326278828399763523255411558126901863786548557580266148568113948954338544896801721753537468571912284081298188357941918796163416972228092471886301605988841475932251038460205941605508287520975600390011490807835795158459912379806601384328931114183552118930168794819096050481737875900292283930766825770001660359332317830810210490271537067931804863380983954706277947761385727915490280967014021412164269000442938932736311976941773462059291215283884181117024496474859797604988390420193758397377954445551433359702050188757565389373100295421344919573337345462467161151548724224769645411051668618378165100633193107653782952612990133243164536810269383972195884863780842524394668953511184778642406351851027586895133223711785349693177228784802919198440702683270914606855038944195985972631810109921039509188161293939946080540706739535622939077433001869507948974932349712447978274466640450888484175036341008531189225267143175021163624604902009308591013172920412687322365610539444377281261034626394126147703550496832909874135659306001522023305528838678054636526403553240528845801517561933668925984564883730603816119822323896130148581815382765289483758816324247266402943832346401225525261052341353238976650882850830801417970242902955551821899332915300528729412872715239088998693412724169180184334404953339237200917624185007990346247448421539376562535447835400285058119081355961855819348637965728401080705020631920975252418750384958452510735341685291065751548704599341956193336228625664303719899100259027387942121398564000943314663538233587283620324075564130405402030551640268581399710376999930185516106823373887729828995900279206407500713207202046748529111493882650752779687253578316476592729356378666084883363802776988964274468151117185509596137534221678450927367144817936449261222828657322330477139003827900010666598617973764541520728395944589178476271791558852129987428521244094501041273341830817212362938078867164740453585054081423973610353749232075488280492840639028363218368820672882267542549980811519469975249526795151658247434322872002148312232255201938500969}
15343  1227065287575516758167102222238773661078548748336375690990530142: {505857,536585,643902,751121,766550,919860,981184,1073030,1103832,1241811,1287636,1455305,1532900,1746366,1822961,1839480,1881777,1962112,2069415,2190617,2207376,2372585,2430633,2465393,2483298,2604230,2847102,3107321,3125076,3200417,3252297,3384173,3521990,3707198,3962441,4226388,4439030,4576793,4659485,4889793,4944161,5030081,5115785,5161953,5326836,5576116,5591382,5660630,5727062,6027305,6138942,6165497,6309401,6792756,7161161,7185830,7231697,7232766,7391885,7601673,7745342,7799393,7965880,8141457,8146516,8149037,8545433,8622996,8680377,8847446,8870262,8961615,9013430,9436504,9559056,9616781,10058846,10230230,10246841,10351588,10433918,10525853,10559793,10563305,10616067,10746761,10753938,10816116,10827417,10901057,10982993,11141990,11466185,11535446,11618201,11628993,11637880,11712857,11895753,12108317,12252977,12276276,12638175,12675966,13092615,13294073,13370388,13371326,13480720,13642361,13759422,13790678,13965456,14084057,14369780,14461502,14575841,14577976,15063305,15108953,15123316,15165810,15171422,15377897,15689990,15711138,15763251,15840041,16176864,16295942,16392221,16400223,16597430,17185593,17243736,17312393,17380001,17447817,17518072,17633837,17689817,17812982,17971617,18075966,18198972,18407956,18765775,18827988,19042937,19208813,19231046,19399203,19409441,19521524,19524075,19707831,19715416,19798113,19821758,19916916,20058177,20353577,20388953,20395526,20490998,20577657,20822630,20825680,20859485,20876681,20903261,21085841,21408377,21539462,21673460,21799262,22179843,22353773,22497662,22518930,22628630,22646937,22810046,23072585,23230097,23422646,23428890,23834558,23927636,24020192,24035057,24216521,24283433,24412646,24702393,24731990,24987156,24990816,25031382,25070537,25214097,25593304,25883897,25980033,26008152,26082868,26234913,26297080,26404575,26489577,26535401,26559064,26808250,26901617,27022716,27058733,27062776,27154356,27252273,27518342,27577748,27687102,27692897,27749393,27793095,28063361,28114668,28164880,28197101,28266177,28792467,28812422,29259171,29263143,29416036,29584215,29645968,29678388,29819993,29823830,29841878,29878947,30032193,30122630,30445623,30529805,30751766,30770660,30785817,30936161,30968093,31189396,31537497,31556496,31655462,31685490,32140097,32169900,32265197,32507222,32585780,32814641,33015902,33351714,33545441,33797856,34219646,34314560,34504382,34595030,34772313,34837075,35095841,35103544,35501058,35570175,35645597,35760297,35788596,35886881,36020884,36049073,36147156,36162185,36314438,36635766,36719942,36811096,36924792,37022993,37261240,37305617,37590137,37815377,37829462,37941520,37978733,38022588,38080886,38117741,38297500,38455361,38603880,38666417,38813798,39102936,39143897,39491487,39531761,39638324,39641990,39680921,39986102,40006241,40025885,40163457,40700681,40785716,41132433,41144333,41177472,41268535,41412483,41412926,41514036,41515481,41540391,41747846,41804490,41856897,41918895,42159785,42599990,42684210,42752451,42805421,42936135,43010102,43394622,43429365,43531337,43539753,43779297,43795193,43803518,43886273,43990803,44183512,44284685,44378753,44476382,44508521,44556280,44591456,44708585,44713488,44896841,44955677,45342136,45529824,45778481,45791702,45798544,45957000,46307942,46324656,46585455,46636977,46789841,46873713,46887737,46906166,46953617,47013675,47570388,47597921,47797553,48010046,48031062,48606761,49020800,49259462,49300575,49463553,49522242,49691152,49706451,49767250,49780984,49925236,50109581,50125815,50147920,50165337,50165388,50218646,50302674,50358893,50398833,50455384,50591742,50895775,51009903,51119988,51221052,51300758,51518006,51523362,51701625,51859805,52115238,52158904,52407542,52457060,52587280,52668317,52828601,52889990,53001662,53141622,53162356,53183937,53242097,53467536,53650302,54105393,54205853,54230393,54247046,54309473,54324543,54335217,54936230,55023393,55029476,55148400,55359446,55458875,55485377,55902546,55933721,56003607,56416410,56500721,56687030,56762307,57258185,57266776,57519737,57530073,57623321,58143830,58678767,58724788,58816961,58824376,58824960,58874573,58886337,58955050,59131156,59160690,59218502,59307830,59561553,59611601,59639780,59720700,59786193,60010617,60150978,60152801,60172841,60177504,60323318,60669784,60726075,61074930,61104173,61120851,61235156,61575537,61792241,61868573,62041950,62187305,62231766,62242977,62686857,62746624,62762438,62948472,63023657,63104736,63176393,63411485,63467988,63521933,63614078,63702080,63753655,63768761,63982937,64185377,64271702,64425123,64453737,64458424,64672075,64774480,65146592,65331993,65380457,65397830,65444585,65810535,65829062,65923476,66009257,66023156,66177423,66178080,66243518,66255305,66550650,66642897,66645446,66807857,66842630,67115993,67138577,67393912,67468685,67574175,67588313,67668788,67669622,67699692,67897517,67997030,68024436,68253507,68585780,68616015,68709822,69065057,69208817,69292241,69438230,69772596,69797606,69855675,69902993,70055993,70063348,70197904,70314897,70370660,70503446,70589952,70698182,70740724,70741046,70746060,70817031,70968641,70987360,70992828,71089385,71169396,71489885,71567736,71664840,71883137,72032344,72079120,72515727,72526493,72593801,72619364,72657633,72708250,72871290,73190416,73289916,73533026,73549313,73663577,73735958,73793633,74114942,74123655,74421113,74422388,74450340,74512720,74624766,74673976,75170342,75259817,75462464,75469430,75601497,75716660,75727817,75810153,75818151,75898193,75930662,75961144,76078838,76093782,76226817,76442496,76504386,76547897,76611535,76696575,76952537,77454185,77471990,77495780,77500982,77507897,77606490,77729376,77803001,77824877,77898182,78107213,78345875,78358142,78477396,78533502,78776417,78800393,78972642,79065232,79119273,79348478,79413696,79424285,79484297,79506366,79860780,79884173,80034182,80142033,80150441,80167262,80211156,80513703,80622945,80956353,80962422,81036387,81089010,81190457,81254175,81283587,81596436,81809680,81811156,82302936,82319030,82339218,82482797,82745656,82775937,82780256,82859753,82905833,83156871,83213876,83325876,83378577,83677577,83690102,83779257,83826810,83855213,84008223,84022262,84024230,84173752,84221500,84444792,84473080,84488273,84597860,84632237,84895272,84900041,84982937,85159430,85174833,85184832,85217537,85222742,85307262,85456287,85734233,85787862,85909526,85997808,86249956,86494944,86671120,86828585,86859521,86915201,87150153,87249900,87346022,87445548,87594161,87829336,87934233,88000541,88274630,88711817,88948386,89109917,89126102,89130998,89334868,89339896,89340408,89415264,89484473,89531441,89713841,89879313,89967064,90251990,90560081,90563316,90617297,90755203,90859992,91035993,91076650,91098230,91148822,91228017,91506964,91516862,91732982,91802793,91933842,92018033,92035890,92190116,92353982,92477177,92566137,92590803,92849631,92945022,92962985,92966388,92976062,92994936,93066560,93088863,93127788,93136377,93327135,93543881,93688721,93704673,93893673,93971033,94015050,94459377,94591455,94647513,94695471,95000391,95032215,95206264,95207780,95309142,95384681,95507181,95832936,95879990,95899646,96208697,96293176,96303521,96747534,96766175,96828472,96953753,97108276,97200446,97258737,97263761,97306812,97386641,97505010,97593497,97812777,98070557,98171616,98362457,98392502,98457782,98775641,98782836,98808003,98996275,99289622,99548944,99589526,99614246,...,13275025774224952564824010934496099305847349940690324749212922316596293914058796176507251585683517456292380436098918586105760529555301142847318081962976503342250005320862705442991439421885237085440932852719353758100773727926767909480233483926745251576871367559144114066482329622260427911205888396644469568395600719610434363435819471048489119464880421975386646998958117625530585829538252227268435038437866351364340548744169202485048731410107021531424151931939118059862402295671383291429216378775064251143922558394884555962970789962515068807985121967909668051280274588807344383361300800520015321077114393544613216506408801845771908152244736158573558393092128067308983834533723045241022434360002213812443090441080280653695382757242406484507978606275037263681847637220653707956018695216219025333923918576981749302589031282745721620378512241489365995299813063473317853893591677863170605927401911146269400251676753852497467060561793226097783127283289548202064965633026193881402224824504220134177590810205043936817320177657552715747025845296261179818374456699192891938014913038189875135801370115860177631615713799590902971713070558931254270244361219475806718592261314630175746813228052678917548391919928107387608986047497252103244002492677265299909799616597304365955520601184645566715121344708252300356190900028218166139869345744788017563893883583096487480719259169708348046168525501530271400662443879832180879074668696031074038451570739515368538070987371794402023415911558567979419844974138421493096431861506864775753843687052645011755098996355203925109795201634033681403121804318635534510467774401890626990537274069095865777220400704972550496953652118664924550298892240245779206604452316267890165580010653794996597895385835416713930447200380077492108474615807759131517287637868107606694175894633669891667179944603347647122247054754335398272799122608257781638167552404959865467012036517256161864752001257752884717644783044827098767418840540536040735520358108532947169333240247354809097831850306438661200372275210000950942936062331372148658510201003706249671437755302123639141838221446511151737035985285699290868156247346128183378962237934569822859757248599014963771543096440636185338437200014222131490631686055360971194592785571301695722078469506649904694992126001388364455774422949817250771822886320604780072108565298147138332309433984373990454185371150957825094230509690056733307748692626633666035726868877663245763829336197749643006935918001292}
15344  1232555986331333954538356686541784295043357521640599778607411220: {199303,337282,398554,474703,566359,674476,704674,858536,888154,965853,1023559,1114783,1149825,1226480,1315714,1379790,1471776,1569823,1609545,1620634,1655748,1716848,1916125,1931454,1932559,2168482,2229274,2294143,2299350,2328488,2384359,2411554,2452640,2509036,2532994,2619549,2759220,2943168,3078682,3240844,3311064,3320794,3371983,3724947,3796136,3906345,4084783,4166768,4262263,4270653,4336396,4527514,4687614,4704703,4969303,5282985,5488282,5560797,5635184,5847514,5933959,6282583,6339582,6385282,6519724,6658545,6803359,6882604,6970145,7102448,7278682,7455176,7575682,7751383,7990254,8093959,8109274,8185256,8256941,8364174,8387073,8464282,8490945,8520559,8590593,8945359,9030103,9057008,9208413,9283903,9349282,9643688,9705463,9957350,10125223,10135564,10183145,10189134,10757794,10778745,10849149,10855276,10959343,11166874,11456359,11497328,11573836,11618013,11786263,11795630,11827016,11948820,12219774,12505474,12745408,12755729,12769063,12934494,12939485,13094359,13271169,13305393,13499359,13520145,13777954,14079724,14154756,14303959,14338584,14421488,14436556,14547350,14583682,14623783,14813314,15021943,15088269,15180703,15328313,15345345,15443482,15505324,15527382,15576343,15650877,15861004,15970183,16130907,16224174,16368368,16596583,16641154,16712985,16850900,16868482,16901288,16985743,17250989,17303169,17450359,17456820,17718682,17827184,17962225,18222470,18227074,18345896,18414414,18620608,18902914,18904145,19013949,19282903,19352194,19744474,19809583,20055582,20056989,20221080,20407183,20639133,20686017,20749594,20948184,21017668,21554670,21569152,21692253,21866964,21897590,21915682,22244983,22394141,22679359,22684974,22748715,22751503,22757133,22914124,22991648,23009945,23239181,23263756,23514394,23534985,23566707,23679929,23753959,23825023,23898274,23962156,24101288,24108559,24265296,24336034,24401905,24443913,24644270,24718234,24742303,24896145,24990754,25103984,25161559,25480282,25865604,25923463,25940222,26032100,26277108,26293282,26397484,26509474,26555888,26719473,26744236,26880559,27091825,27102682,27113949,27286423,27298458,27425434,27436876,27611934,28241982,28455713,28488463,28846569,29190274,29243482,29282286,29472343,29573124,29721634,29732637,29796703,29875374,29909545,29986714,30025240,30119263,30195916,30304282,30440023,30593289,30715601,30736497,30758983,30822559,31095682,31148314,31233945,31238520,31454359,31991630,32141023,32209709,32309193,32326783,32510190,32603585,32698893,32871350,32936524,33198830,33316208,33321088,33375176,33608959,33618796,33746493,33759514,33778395,33828470,33942945,34208359,34215069,34446103,34472185,34640044,34677536,34800559,34979884,35035423,35093959,35133969,35143335,35152423,35206100,35319436,35443663,35460994,35675359,35751837,35891454,35963359,36030288,36205808,36279682,36336364,36590623,36618969,36760183,36770045,36916136,37041343,37057460,37097985,37480734,37486224,37547073,37653559,37688236,38389956,38463325,38660573,38690503,38744359,38986745,39012228,39017524,39124302,39263194,39445620,39490783,39571184,39674369,39753943,39763354,39806359,39838596,40012834,40042924,40073726,40212375,40378183,40510594,40532623,40534074,40594164,40731534,40732225,41047756,41093359,41105794,41277513,41366622,41530653,41545663,41595559,41797282,42049996,42075328,42172002,42247320,42384103,42577117,42583714,42626743,42828634,42893200,43218633,43296559,43463554,43479758,43558361,43560994,43812943,43879430,44124054,44148461,44228959,44274823,44289754,44435074,44457559,44468952,44483482,44517582,44684359,44735745,44762817,45026105,45063808,45183945,45496354,45573559,45639041,45791359,46013870,46050343,46127649,46155990,46215514,46363084,46576550,46597594,46784094,46931074,47019103,47224663,47306383,47334744,47426900,47468959,47483193,47528235,47680396,47718128,47870359,47871875,48155822,48196208,48254850,48420223,48492634,48635521,48689863,48760833,48842359,48847688,48878670,48880303,49125089,49233056,49367023,49523853,49547905,49550983,49769359,50027571,50108429,50454874,50593954,50685703,50696784,50788303,50982145,51102682,51329469,51471329,51471840,51650359,51756573,51778663,51793282,51842383,51892545,52125559,52137248,52249543,52584559,52655316,52910863,53086061,53251587,53436034,53551276,53617282,53682894,53756503,53864359,53891143,54024154,54031326,54220734,54258559,54386359,54411703,54471657,54661183,54758959,54843244,54903296,54903463,54953649,54974743,55079913,55138543,55216644,55229390,55236994,55352048,55387188,55651903,55695350,55739320,55800583,55809196,55891860,55904623,55905754,56087359,56283559,56401121,56582503,56677670,56725063,56742559,56744193,56912280,56913559,56979943,57003268,57033882,57077359,57093343,57121329,57172183,57248180,57294583,57364354,57368743,57441103,57446250,57725359,57788359,57859496,57905820,57920623,58033303,58053004,58065703,58138783,58220697,58237063,58283482,58362559,58372396,58395823,58443559,58481359,58614559,58654404,58675234,58675543,58744663,58756543,58762114,58781743,58791463,58794559,58821559,58853023,58854823,58856983,58969673,59457486,59462985,59617984,59842714,59979153,60186394,60699994,60706432,60828034,60870682,61178574,61276000,61423166,61762594,61766208,61889434,62113940,62119389,62182636,62226230,62271054,62406545,62498284,62605474,62621769,62684900,62706735,63028301,63069230,63427184,63899985,64026315,64041416,64041614,64515153,64643482,65091933,65095714,65198630,65259682,65339729,65571325,65705277,65734100,65831554,65951404,66029656,66275268,66452945,66466001,66683482,66714573,66834420,66887116,66887184,67070232,67198444,67455656,67688482,67776137,67928194,68013204,68047834,68159984,68294736,68687553,68697816,68786845,68841754,68881282,68935500,69078682,69182078,69315034,69461913,69486984,70020634,70254682,70293634,70359249,70855496,70911916,71223682,71290048,71355582,71533736,71583470,72015069,72046593,72140524,72335194,72402449,72432724,72446956,73357954,73364524,73405985,73470874,73530470,73531200,73652033,73889193,73913945,74033314,74283363,74406274,74536728,74549725,74650875,74671476,74814682,74887854,74931389,75184282,75221880,75248082,75327969,75454011,75515554,75683076,75699034,75837230,75887613,76543945,76679982,76706764,76831578,76850669,76951137,77277009,77285043,77368282,78172409,78172857,78225754,78238356,78433280,78515116,78611313,78685590,78721181,78880920,78968482,79334985,79415404,79459714,79494682,79502493,79627600,79712433,79714924,79743534,80014156,80017282,80088593,80201304,80236672,80475453,80536282,80573030,80708482,80742874,80968100,81017434,81370569,81433240,81494468,81767194,82100716,82404345,82528945,82544214,82722600,82901401,82975688,82990636,83039169,83077282,83134766,83305481,83376154,83574682,83582476,83853819,83871394,83931296,84139648,84242390,84256529,84585985,84623984,84624615,84724913,84915874,85030545,85238914,85732225,85900164,85938316,86293594,86856809,87105326,87109324,87215745,87579185,87610714,87747380,87897968,87908054,87963325,88074274,88087182,88236564,88237440,88285358,88425905,88432575,88503682,88534234,88696734,88734200,88741035,88827753,88857196,88955053,88961745,89459670,89533474,89581050,89713282,89892514,90040430,90098900,90226467,90266256,90484977,90574234,90699248,90774205,90926554,91004676,91005089,91043482,91488020,91612395,91613096,91852734,92055682,92170114,92596954,93027985,93030128,93062925,93140900,93342470,93347649,93745282,93753196,93828593,93938273,93993754,94119936,94143657,94328080,94404994,94422708,94568482,94595674,94645825,94657104,94731394,94892528,94951430,95201982,95421117,95423648,95459021,95484034,95553120,95617114,95802754,96138161,96407553,96687636,96869725,96876844,96951682,97161720,97336282,97361794,97562381,97719888,97920097,98096745,98344282,98743593,98831540,98863234,98885214,99034734,99267120,99365277,99447682,99499688,99784354,99825975,99927682,99968169,...,19912538661337428847236016401744148958771024911035487123819383474894440871088194264760877378525276184438570654148377879158640794332951714270977122944464755013375007981294058164487159132827855628161399279079030637151160591890151864220350225890117877365307051338716171099723494433390641866808832594966704352593401079415651545153729206572733679197320632963079970498437176438295878744307378340902652557656799527046510823116253803727573097115160532297136227897908677089793603443507074937143824568162596376715883837592326833944456184943772603211977682951864502076920411883211016575041951200780022981615671590316919824759613202768657862228367104237860337589638192100963475751800584567861533651540003320718664635661620420980543074135863609726761967909412555895522771455830980561934028042824328538000885877865472623953883546924118582430567768362234048992949719595209976780840387516794755908891102866719404100377515130778746200590842689839146674690924934322303097448449539290822103337236756330201266386215307565905225980266486329073620538767944391769727561685048789337907022369557284812703702055173790266447423570699386354457569605838396881405366541829213710077888391971945263620219842079018376322587879892161081413479071245878154866003739015897949864699424895956548933280901776968350072682017062378450534286350042327249209804018617182026345840825374644731221078888754562522069252788252295407100993665819748271318612003044046611057677356109273052807106481057691603035123867337851969129767461207632239644647792260297163630765530578967517632648494532805887664692802451050522104682706477953301765701661602835940485805911103643798665830601057458825745430478177997386825448338360368668809906678474401835248370015980692494896843078753125070895670800570116238162711923711638697275931456802161410041263841950504837500769916905021470683370582131503097409198683912386672457251328607439798200518054775884242797128001886629327076467174567240648151128260810804061103280537162799420753999860371032213646747775459657991800558412815001426414404093497058222987765301505559374507156632953185458712757332169766727605553977928548936302234371019192275068443356901854734289635872898522445657314644660954278007655800021333197235947529083041456791889178356952543583117704259974857042488189002082546683661634424725876157734329480907170108162847947220707498464150976560985681278056726436737641345764535085099961623038939950499053590303316494868645744004296624464510403877001938}
15345  1238071058779596720486650651690952419298031492252341513039252392: {505923,597831,751219,843095,1011714,1057011,1073170,1287804,1332231,1502242,1533100,1839720,1962368,1973571,2037427,2069685,2146060,2207664,2430951,2483622,2575272,2588911,2897181,2910610,3065800,3136295,3252723,3321619,3343911,3449025,3492732,3617331,3645922,3678960,3763554,3782311,3799491,3924224,4051055,4138830,4381234,4414752,4618023,4745170,4861266,4930786,4966596,4981191,5208460,5420495,5525827,5694204,6214642,6250152,6400834,6504594,6523279,6768346,6791271,7031421,7043980,7162099,7414396,7542407,7903379,7924882,8093171,8149655,8232423,8438227,8452776,8546551,8603255,8771271,8878060,9153586,9318970,9509373,9577923,9779586,9888322,10060162,10231570,10323906,10348639,10653672,10655039,10748167,10918023,11152232,11182764,11321260,11363523,11454124,11920403,11985381,12054610,12109903,12163911,12277884,12330994,12546261,12618802,12669455,12696423,12856367,13569095,13585512,14023923,14322322,14371660,14463394,14465532,14467295,14480791,14783770,14788627,14936025,15203346,15283701,15314807,15490684,15598786,15931760,16052659,16136691,16282914,16293032,16298074,16750311,16923863,17090866,17245992,17360754,17522719,17599655,17693445,17694892,17740524,17922179,17923230,18026860,18045695,18329661,18612911,18758211,18873008,19118112,19233562,19381655,19401741,19424707,19826255,20117692,20356243,20460460,20493682,20666931,20703176,20711891,20811647,20867836,20905999,21051706,21063625,21088627,21119586,21126610,21232134,21493522,21507876,21632232,21654834,21802114,21821025,21875523,21965986,22219971,22283980,22932370,23070892,23165223,23236402,23257986,23275760,23291073,23425714,23459231,23791506,24216634,24336261,24505954,24552552,24961731,25276350,25302723,25351932,25657103,26144759,26185230,26272085,26578023,26588146,26740776,26742652,26961440,27284722,27333705,27340611,27453751,27518844,27581356,27621621,27930912,28168114,28213891,28354371,28642655,28739560,28851383,28923004,29028291,29079695,29151682,29155952,29203279,29616711,29952695,30083373,30126610,30217906,30246632,30331620,30342844,30755794,31124391,31181951,31379980,31422276,31514407,31526502,31680082,32301619,32332005,32353728,32540125,32591884,32784442,32800446,32801879,32846385,32873523,32996855,33194860,33430295,34027461,34296095,34371186,34487472,34490383,34624786,34760002,34895634,35036144,35267674,35271591,35379634,35625964,35847411,35943234,36151932,36397944,36504051,36665831,36675187,36815912,36966405,37077351,37486131,37531550,37655976,37722179,37744895,37782439,37983751,38085874,38220423,38417626,38462092,38703863,38798406,38818882,38910333,39043048,39048150,39300887,39415662,39430832,39439923,39596226,39643516,39764211,39833832,39977143,40108867,40116354,40654023,40707154,40777906,40791052,40947687,40981996,41138151,41155314,41170655,41417901,41476903,41644163,41645260,41651360,41718970,41753362,41806522,42023495,42171682,42362973,42622679,42741727,42816754,43042079,43078924,43300055,43346920,43598524,43724855,43785411,43865223,43923429,44007625,44149295,44343263,44359686,44582451,44707546,44813061,44980071,44995324,45037860,45257260,45293874,45420455,45456423,45620092,45757519,46098407,46145170,46321825,46460194,46528823,46643523,46722471,46845292,46857780,47110295,47280103,47633591,47669116,47855272,47987445,48040384,48070114,48433042,48566866,48765285,48771905,48825292,49149839,49307025,49404786,49463980,49798245,49974312,49981632,50053655,50062764,50141074,50428194,50627059,50639271,50673719,50742705,50812499,51186608,51309695,51767794,51960066,51997871,52016304,52165736,52364279,52469826,52562495,52594160,52809150,52979154,53005187,53059903,53070802,53118128,53191491,53616500,53803234,53837181,54045432,54117466,54125552,54308712,54419523,54504546,55036684,55155496,55374204,55385794,55498786,55586190,56036239,56126722,56221101,56229336,56329760,56394202,56532354,57584934,57624844,57775949,57953855,58274759,58518342,58526286,58686453,58832072,58894791,59023699,59168430,59283625,59291936,59356776,59600495,59639986,59645031,59647660,59683756,59757894,59791219,60019251,60064386,60110589,60245260,60277871,60765891,60801111,60891246,61059610,61097301,61297567,61503532,61541320,61571634,61658691,61872322,61936186,61998559,62049933,62191879,62378792,62592019,62695923,62988563,63074994,63112992,63258003,63310924,63370980,63875571,64242951,64280194,64333559,64339800,64530394,65014444,65171560,65195331,65219637,65341491,65629282,65819145,66031804,66186081,66434631,66470483,66652611,66703428,66725223,66776373,66939095,67090882,67316371,67595712,67977871,68244531,68439292,68554055,68629120,69008764,69020805,69190060,69233985,69323271,69544626,69674150,69761495,69864825,69896391,70176141,70191682,70207088,70396611,71002116,71140350,71209591,71254085,71291194,71520594,71560225,71577192,71773762,72041768,72098146,72233733,72294312,72324370,72382275,72563843,72566255,72603727,72628876,72738951,72965495,73271532,73318005,73366607,73439884,73622192,73849584,74045986,74522480,74611234,75180274,75630754,75658924,75682311,75883040,75890931,75957466,76045176,76161772,76235482,76371779,76595000,76654023,76910722,77207760,77332834,77627596,77642425,77689923,77728295,78122855,78205872,78287794,78356125,78576167,78982974,79063522,79276648,79283980,79345591,79361842,79394879,79972204,80012482,80051770,80154051,80161459,80167043,80326914,80425923,80448307,80524341,80995471,81036231,81046989,81331101,81401362,81494183,81571432,82059923,82167625,82264866,82288666,82354944,82439255,82537070,82824966,82825852,82844085,82855491,82911251,83028072,83030962,83080782,83495692,83543025,83608895,83608980,83713794,83837790,83858631,83998055,84319570,84893303,85016505,85199980,85368420,85504902,85550823,85610842,85872270,86020204,86046531,86169375,86789244,86858730,87062227,87062674,87079506,87425223,87558594,87590386,87607036,87618031,87772546,87981606,88012851,88143171,88367024,88569370,88639895,88757506,88776079,88952764,89017042,89112560,89182912,89186229,89255117,89282311,89417170,89426976,89496511,89764071,89793682,89861479,89911354,90175655,90279591,90468943,90540905,90558695,90684272,91049991,91059648,91242051,91306023,91355807,91476803,91556962,91583404,91597088,91622419,91705655,91767861,91914000,92134749,92615884,92643891,92649312,92757427,92834151,93132911,93170910,93273954,93339345,93406581,93579682,93747426,93775474,93812332,93907234,93908211,94027350,94456159,94603845,94782067,95140776,95195842,95221379,95595106,95883455,96020092,96062124,96062421,96155543,96965223,97213522,97621679,97643571,97797945,97889523,98041600,98143895,98518924,98601150,98747331,98791607,98927106,99044484,99269255,99382304,99412902,99525139,99534500,99561968,99643655,99850472,99884279,...,29868807992006143270854024602616223438156537366553230685729075212341661306632291397141316067787914276657855981222566818737961191499427571406465684416697132520062511971941087246730738699241783442242098918618545955726740887835227796330525338835176816047960577008074256649585241650085962800213248892450056528890101619123477317730593809859100518795980949444619955747655764657443818116461067511353978836485199290569766234674380705591359645672740798445704341846863015634690405165260612405715736852243894565073825756388490250916684277415658904817966524427796753115380617824816524862562926801170034472423507385475379737139419804152986793342550656356790506384457288151445213627700876851792300477310004981077996953492430631470814611203795414590142951864118833843284157183746470842901042064236492807001328816798208935930825320386177873645851652543351073489424579392814965171260581275192133863336654300079106150566272696168119300886264034758720012036387401483454646172674308936233155005855134495301899579322961348857838970399729493610430808151916587654591342527573184006860533554335927219055553082760685399671135356049079531686354408757595322108049812743820565116832587957917895430329763118527564483881819838241622120218606868817232299005608523846924797049137343934823399921352665452525109023025593567675801429525063490873814706027925773039518761238061967096831618333131843783103879182378443110651490498729622406977918004566069916586516034163909579210659721586537404552685801006777953694651191811448359466971688390445745446148295868451276448972741799208831497039203676575783157024059716929952648552492404253910728708866655465697998745901586188238618145717266996080238172507540553003214860017711602752872555023971038742345264618129687606343506200855174357244067885567458045913897185203242115061895762925757256251154875357532206025055873197254646113798025868580008685876992911159697300777082163826364195692002829943990614700761850860972226692391216206091654920805744199131130999790556548320470121663189486987700837619222502139621606140245587334481647952258339061760734949429778188069135998254650091408330966892823404453351556528788412602665035352782101434453809347783668485971966991431417011483700031999795853921293624562185187833767535428815374676556389962285563732283503123820025492451637088814236601494221360755162244271920831061247696226464841478521917085089655106462018646802627649942434558409925748580385454974742302968616006444936696765605815502907}
15346  1243610612256198820694679891832945092337746434396166290564177901: {260593,398606,674564,719053,797108,901933,949406,1132718,1266829,1348952,1409348,1517571,1609755,1717072,1721329,1776308,1916375,1931706,2047118,2229566,2253363,2299650,2452960,2624929,2631428,2682575,2759580,2943552,2984353,3139646,3219090,3241268,3311496,3433696,3610573,3725433,3832250,3862908,3865118,3966829,4055713,4336964,4365915,4410529,4458548,4588286,4598700,4656976,4768718,4823108,4905280,5018072,5065988,5239098,5468883,5518440,5645331,5818273,5886336,6157364,6208245,6481688,6510575,6571851,6622128,6641588,6688753,6743966,6948493,7117755,7121293,7291899,7396179,7449894,7466029,7592272,7812690,8169566,8322829,8333536,8524526,8541306,8663533,8672792,8748529,8804975,8833453,9055028,9267995,9321963,9375228,9409406,9510253,9601251,9756891,9758203,9930913,9938606,10152519,10516813,10565970,10976564,11097575,11121594,11270368,11595553,11695028,11760433,11867918,11887323,12007213,12417073,12565166,12679164,12770564,13039448,13317090,13606718,13730379,13765208,13940290,13978455,14038513,14151575,14204896,14256403,14317655,14557364,14599213,14669379,14832483,14910352,15090243,15151364,15347355,15485859,15502766,15631153,15710029,15980508,16187918,16218548,16370512,16513882,16728348,16774146,16806733,16884529,16928564,16981890,17041118,17181186,17735533,17890718,17964575,18060206,18081915,18114016,18115279,18119473,18416826,18496491,18567806,18698564,18928203,19287376,19363355,19410926,19914700,19937329,20012173,20250446,20271128,20366290,20378268,20381603,20608333,21483483,21515588,21557490,21695091,21698298,21710552,21786829,21918686,22118615,22175655,22333748,22441633,22533575,22802893,22805019,22912718,22994656,23147672,23162353,23236026,23398179,23572526,23591260,23591329,23654032,23897640,24424371,24439548,24447111,24652429,24932653,25010948,25147115,25281313,25420273,25490816,25511458,25538126,25575575,25636299,25868988,25878970,26041131,26084795,26110753,26188718,26453293,26465803,26542338,26610786,26884845,26998718,27040290,27555908,27671533,27854975,28138993,28159448,28309512,28607918,28677168,28838615,28842976,28850343,28873112,29094700,29167364,29247566,29324833,29390029,29626628,29973553,30043886,30102433,30176538,30361406,30423373,30656626,30690690,30740523,30886964,30996529,31010648,31054764,31152686,31301754,31312429,31486499,31563853,31577559,31679379,31689915,31722008,31848201,31940366,32213923,32240283,32261814,32448348,32482251,32703171,32736736,32948979,33193166,33282308,33425970,33428315,33473329,33629479,33701800,33714673,33736964,33802576,33971486,34014733,34074529,34134253,34162667,34398555,34476695,34501978,34606338,34854603,34886979,34900718,34904113,34913640,35138571,35313613,35437364,35546029,35654368,35687259,35924450,36153755,36179233,36324951,36444940,36454148,36691792,36747313,36758931,36828828,37028653,37241216,37252429,37805828,37806829,37808290,37914525,37928555,38027898,38136013,38565806,38704388,38894029,39224975,39277845,39488948,39619166,39882219,40111164,40113978,40264333,40442160,40676173,40727329,40739855,40814366,40927083,41032753,41278266,41372034,41493575,41499188,41735329,41784973,41873363,41896368,41933473,42035336,42252171,43109340,43138304,43384506,43618093,43727523,43733928,43795180,43831364,43851553,44358829,44489966,44532455,44788282,44812429,44991853,45189915,45326859,45358718,45369948,45497430,45503006,45514266,45645019,45828248,45914929,45983296,46019890,46133691,46343329,46478362,46527512,47013793,47028788,47069970,47133414,47178529,47219533,47289753,47359858,47423473,47507918,47520123,47650046,47796548,47924312,47984929,48077615,48142753,48202576,48217118,48221233,48261059,48530592,48532273,48570829,48672068,48762529,48803810,48887826,49103053,49176663,49200669,49288540,49436468,49484606,49554395,49657633,49792290,49910893,49981508,50207968,50231329,50318411,50323118,50545933,50718193,50960564,50988815,51124273,51227495,51290413,51478063,51556779,51731208,51746029,51778033,51846926,51880444,51937179,52056575,52064200,52140003,52187533,52249453,52343451,52524529,52554216,52586564,52794968,52901511,53018948,53069451,53111776,53143693,53286433,53438946,53488472,53761118,53785393,53848655,53914851,54183373,54183650,54205364,54227898,54357347,54498155,54572846,54581443,54596916,54810673,54850868,54858913,54873752,55048993,55223868,55392973,55415329,55547953,55613293,55656493,55826413,56244155,56250529,56297325,56365873,56483964,56534029,56571575,56624929,56911426,56953933,56976926,57025115,57036193,57128811,57478343,57626439,57642829,57693138,57721453,57834529,57964813,57998833,58118029,58169329,58197609,58228323,58275853,58303393,58365133,58380548,58390513,58398829,58486964,58550029,58556615,58556833,58564572,58572225,58576813,58677793,58698529,58740973,58850593,58852429,58854193,58867873,58874029,58874929,58944686,59123493,59146248,59394339,59443268,59465274,59586395,59593406,59750748,59819090,59973428,60050480,60174531,60238526,60391832,60608564,60880046,61031615,61060731,61166859,61186578,61431202,61472994,61517966,61645118,61732971,61829975,62191364,62296628,62467890,62477040,62578455,62630043,62709783,62908718,63036547,63257523,63983260,64225131,64282046,64419418,64618386,64653566,65020380,65207170,65397786,65742700,65873048,66397660,66539529,66632416,66642176,66750352,67020625,67061319,67217918,67237592,67492986,67519028,67556790,67656940,67885890,67940811,68416718,68430138,68439899,68795855,68892206,68944370,69217755,69280088,69355072,69367067,69601118,69690291,69959768,70070846,70187918,70267938,70286670,70304846,70412200,70638872,70887326,70921988,71350718,71375003,71503674,71782908,71926718,72031055,72060576,72105171,72411616,72559364,72649563,72672728,72850299,73181246,73237938,73520366,73540090,73832272,74082686,74107179,74114920,74195970,74559575,74604695,74961468,74972448,75094146,75211611,75306575,75307118,75376472,75642291,76779912,76879415,76926650,77321146,77381006,77488718,77651691,77940099,77973490,78024456,78035048,78248604,78526388,78704739,78891240,78981566,79138655,79142368,79213725,79348738,79468731,79507886,79526708,79606203,79612718,79677192,80025668,80085848,80099071,80147452,80424750,80704851,80756366,81021188,81065246,81068148,81176199,81188328,81268055,81463068,81464450,81756819,82095512,82186718,82211588,82539755,82555026,82733244,82912247,83061306,83078691,83091326,83191118,83248179,83379285,83594564,84099992,84150656,84190083,84344004,84494640,84591303,84768206,84798531,85154234,85167428,85253486,85549115,85657268,85786400,86260955,86377401,86437266,86487575,86593118,86880299,86927108,86959516,87116722,87121988,87369163,87625886,87758860,87777513,87789429,88248108,88296922,88457918,88549646,88579508,88618739,88752645,88870148,88915118,88937904,88966691,88966964,89035164,89368718,89459979,89471490,89525634,89636841,90052210,90096579,90127616,90367890,90786095,90992708,91147118,91278082,91336869,91582718,91589415,91799855,92027740,92100686,92255298,92311980,92357451,92431028,92654507,92726168,92808483,92904279,93034123,93153100,93195188,93568188,93862148,94038206,94449326,94573655,94612491,94612766,94669488,94853800,94937918,94966386,95056470,95202215,95360792,95436256,95740718,95743750,96301583,96311644,96392416,96420291,96509700,96795591,96840446,96985268,97034495,97271042,97379726,97521666,97684718,97695376,97757340,97760606,97932923,97974383,98250178,98443923,98466112,98734046,99047706,99095810,99101966,99104975,99538718,99965255,...,39825077322674857694472032803488297917542049822070974247638766949788881742176388529521754757050552368877141308296755758317281588665903428541954245888929510026750015962588116328974318265655711256322798558158061274302321183780303728440700451780235754730614102677432342199446988866781283733617665189933408705186802158831303090307458413145467358394641265926159940996874352876591757488614756681805305115313599054093021646232507607455146194230321064594272455795817354179587206887014149874287649136325192753431767675184653667888912369887545206423955365903729004153840823766422033150083902401560045963231343180633839649519226405537315724456734208475720675179276384201926951503601169135723067303080006641437329271323240841961086148271727219453523935818825111791045542911661961123868056085648657076001771755730945247907767093848237164861135536724468097985899439190419953561680775033589511817782205733438808200755030261557492401181685379678293349381849868644606194896899078581644206674473512660402532772430615131810451960532972658147241077535888783539455123370097578675814044739114569625407404110347580532894847141398772708915139211676793762810733083658427420155776783943890527240439684158036752645175759784322162826958142491756309732007478031795899729398849791913097866561803553936700145364034124756901068572700084654498419608037234364052691681650749289462442157777509125044138505576504590814201987331639496542637224006088093222115354712218546105614212962115383206070247734675703938259534922415264479289295584520594327261531061157935035265296989065611775329385604902101044209365412955906603531403323205671880971611822207287597331661202114917651490860956355994773650896676720737337619813356948803670496740031961384989793686157506250141791341601140232476325423847423277394551862913604322820082527683901009675001539833810042941366741164263006194818397367824773344914502657214879596401036109551768485594256003773258654152934349134481296302256521621608122206561074325598841507999720742064427293495550919315983601116825630002852828808186994116445975530603011118749014313265906370917425514664339533455211107955857097872604468742038384550136886713803709468579271745797044891314629289321908556015311600042666394471895058166082913583778356713905087166235408519949714084976378004165093367323268849451752315468658961814340216325695894441414996928301953121971362556113452873475282691529070170199923246077879900998107180606632989737291488008593248929020807754003876}
15347  1249174754565949884689188954625160417458111011372840470278464269: {597909,843205,996385,1011846,1180333,1195662,1424109,1502438,1686190,1699077,1761685,2023428,2114022,2146340,2220385,2575608,2664462,2864653,2897559,3004484,3066200,3070677,3289285,3344349,3449475,3679440,3874189,3924736,3947142,4051585,4074854,4139370,4292120,4390813,4415328,4425457,4709469,4828635,4861902,4882933,4967244,5150544,5177822,5421205,5573185,5671477,5748375,5794362,5797677,5821220,5985037,6028885,6131600,6226693,6272590,6332485,6505446,6643238,6687822,6882429,6898050,6985464,7153077,7234662,7291844,7357920,7527108,7564622,7588693,7598982,7696705,7848448,7858647,7904413,8062573,8102110,8277660,8301985,8429749,8762468,8829504,9236046,9340357,9490340,9722532,9861572,9914773,9933192,9962382,10115949,10416920,10656433,10840990,11051654,11174797,11174841,11253253,11318785,11388408,11409517,11719035,11908573,12044557,12254349,12256189,12429284,12500304,12786789,12801668,12811959,12858049,13009188,13009237,13046558,13536692,13582542,13720705,13743013,13764577,14062842,14087749,14087960,14114109,14324198,14618785,14828792,14907909,15084814,15316813,15806758,15833953,15848955,15849764,15963205,16186342,16299310,16464846,16514437,16682391,16876454,16905552,17093102,17116549,17206510,17258989,17384557,17542542,17737237,17756120,17801877,18164353,18196705,18257173,18307172,18417613,18615349,18637940,18847749,18939205,18996733,19018746,19155846,19559172,19776644,19975635,20000929,20120324,20254213,20273185,20410077,20463140,20647812,20697278,20814373,20910435,21160705,21180757,21307344,21310078,21413989,21496334,21836046,22246933,22304464,22365528,22642520,22727046,22904893,22908248,23059633,23163073,23254149,23373205,23840806,23970762,24109220,24219806,24281877,24327822,24555768,24639517,24661988,24770823,24891493,24893375,25077109,25092522,25119217,25161219,25237604,25263973,25338910,25392846,25472835,25561677,25712734,25771779,26108149,26542357,26662477,26836077,26894485,26908669,27090309,27134317,27138190,27171024,27205189,27625239,27756757,27851709,27917185,28047846,28644644,28743320,28926788,28931064,28934590,28961582,29095069,29116389,29220613,29231857,29404093,29489075,29567540,29577254,29872050,30375669,30406692,30549435,30567402,30629614,30981368,31197572,31263685,31863520,32105318,32273382,32336235,32547447,32565828,32586064,32596148,32806213,32878029,33134893,33500622,33847726,33848173,33971437,34097089,34181732,34369077,34444885,34491984,34721508,34854039,35045438,35199310,35358789,35384497,35386890,35389784,35481048,35844358,35846460,36053720,36091390,36368375,36459205,36659322,36780919,37033285,37225822,37449037,37516422,37746016,38054533,38236224,38267187,38307189,38467124,38608705,38763310,38765857,38803482,38818455,38849414,39194509,39283077,39652510,39813507,39916179,40099717,40235384,40496737,40498077,40560435,40711573,40712486,40920920,40987364,41333862,41406352,41423782,41602885,41623294,41735672,41811998,41933773,42011293,42103412,42127250,42171205,42177254,42239172,42253220,42263293,42464268,42811969,42911877,42987044,43015752,43264464,43309668,43604228,43606189,43642050,43751046,43871349,43931972,44296705,44439942,44567960,44570593,44580757,45065829,45264807,45542109,45556175,45567685,45592369,45740929,45776509,45864740,45984939,46036035,46141784,46195597,46330446,46472804,46506349,46515972,46551520,46582146,46613473,46729029,46762117,46802413,46851428,46859989,46918462,46952631,47257285,47583012,47854237,47910549,47968717,48014533,48105853,48380485,48392721,48433268,48672522,49011908,49105104,49156333,49215829,49248289,49320253,49361185,49664497,49789749,49923462,50138955,50372257,50552700,50605446,50703864,50957229,51188173,51314206,51521749,51752967,51873985,51909507,52243837,52289518,52351077,52370460,52544170,52695829,52842853,53156046,53176292,53481552,53485304,53886675,53922880,54071077,54569444,54667410,54681222,54743975,54789205,54801973,54907502,54932173,54988609,55037688,55162712,55243242,55526833,55861824,56336228,56427782,56635333,56708742,56712435,56838589,57041847,57270637,57285310,57479120,57638917,57695413,57702766,57846008,57848709,58056582,58159390,58178989,58303364,58311904,58406558,58785985,58788193,58832893,59233422,59361517,59428749,59745685,59905390,60166746,60170967,60253220,60429853,60435812,60493264,60620077,60663240,60685688,60840085,61214797,61221549,61314733,61511588,61610675,61795585,61809013,61885057,61917399,62058051,62248782,62355733,62363902,62476885,62759960,62844552,63028814,63053004,63360164,63588637,63700705,63744013,63958213,64603238,64664010,64707456,64850555,65076759,65080250,65130613,65183768,65238613,65568884,65600892,65603758,65692770,65733205,65747046,65853937,65954413,65993710,66273685,66389720,66678013,66734949,66860590,67166509,67182423,67756705,68038077,68054922,68246145,68254509,68271399,68280667,68563585,68592190,68742372,68873953,68974944,68980766,69028033,69029835,69249572,69520004,69717543,69791268,70072288,70075117,70389169,70535348,70543182,70604955,70700121,70759268,70884577,71039787,71251928,71261877,71475069,71694822,71833573,71886468,71902213,71937613,72149653,72303864,72325677,72795888,72975685,73008102,73108705,73205715,73331662,73331739,73350374,73526893,73587493,73631824,73932810,74154702,74226909,74304085,74441029,74688435,74796733,74966785,74972262,75063100,75311952,75444358,75484677,75489790,75564878,75760705,75967502,76171748,76382053,76405597,76440846,76835252,76911937,76924184,77407726,77453029,77596812,77637764,77739205,77770389,77820666,77870785,78086096,78096300,78426373,78586549,78601774,78831324,78861664,78879846,79192452,79287032,79454113,79528422,79667664,79809949,79905457,79954286,79979075,80158419,80217734,80232708,80641677,80658157,80872669,80905057,81135397,81275475,81308046,81328129,81341847,81414308,81555812,81582104,81859269,81895374,81963992,82178375,82276302,82310628,82341310,82835802,82953806,82997075,83016373,83288326,83290520,83302720,83437940,83440693,83506724,83582593,83605069,83613044,83995213,84046990,84343364,84398785,84571175,84725946,85219189,85245358,85367139,85465389,85469509,85483454,85633508,85757269,86084158,86125477,86157848,86386273,86539707,86600110,86693840,87016429,87197048,87449710,87570822,87730446,87846858,88015250,88298590,88384717,88417029,88652485,88686526,88719372,88735453,89164902,89197911,89390109,89415092,89532349,89626122,89728635,89960142,89990648,90075720,90257557,90357789,90499333,90514520,90550933,90567637,90587748,90699205,90840910,90912846,91103989,91240184,91320069,91515038,91779867,92146803,92196814,92209491,92276949,92290340,92426653,92439733,92467677,92643650,92920388,93057646,93287046,93444942,93675373,93690584,93701835,93714733,93715560,93825349,94220590,94363077,94560206,94742869,94842337,95267182,95338232,95710544,95966653,95974890,95975677,96080768,96140228,96329293,96423069,96629127,96866084,96891937,96927579,96979909,96980349,97102093,97133732,97319917,97514113,97530570,97543810,97650584,97666093,97810755,98096679,98157985,98299678,98614050,98809572,98927960,99046813,99277189,99344053,99408385,99596490,99755719,99948624,99963264,...,59737615984012286541708049205232446876313074733106461371458150424683322613264582794282632135575828553315711962445133637475922382998855142812931368833394265040125023943882174493461477398483566884484197837237091911453481775670455592661050677670353632095921154016148513299170483300171925600426497784900113057780203238246954635461187619718201037591961898889239911495311529314887636232922135022707957672970398581139532469348761411182719291345481596891408683693726031269380810330521224811431473704487789130147651512776980501833368554831317809635933048855593506230761235649633049725125853602340068944847014770950759474278839608305973586685101312713581012768914576302890427255401753703584600954620009962155993906984861262941629222407590829180285903728237667686568314367492941685802084128472985614002657633596417871861650640772355747291703305086702146978849158785629930342521162550384267726673308600158212301132545392336238601772528069517440024072774802966909292345348617872466310011710268990603799158645922697715677940799458987220861616303833175309182685055146368013721067108671854438111106165521370799342270712098159063372708817515190644216099625487641130233665175915835790860659526237055128967763639676483244240437213737634464598011217047693849594098274687869646799842705330905050218046051187135351602859050126981747629412055851546079037522476123934193663236666263687566207758364756886221302980997459244813955836009132139833173032068327819158421319443173074809105371602013555907389302383622896718933943376780891490892296591736902552897945483598417662994078407353151566314048119433859905297104984808507821457417733310931395997491803172376477236291434533992160476345015081106006429720035423205505745110047942077484690529236259375212687012401710348714488135771134916091827794370406484230123791525851514512502309750715064412050111746394509292227596051737160017371753985822319394601554164327652728391384005659887981229401523701721944453384782432412183309841611488398262261999581113096640940243326378973975401675238445004279243212280491174668963295904516678123521469898859556376138271996509300182816661933785646808906703113057576825205330070705564202868907618695567336971943933982862834022967400063999591707842587249124370375667535070857630749353112779924571127464567006247640050984903274177628473202988442721510324488543841662122495392452929682957043834170179310212924037293605255299884869116819851497160770909949484605937232012889873393531211631005814}
15348  1254763593984607612787782824983236064861534856214973110358326535: {260627,291251,444251,521186,627587,797212,902051,932507,1084667,1206251,1349128,1358051,1438106,1517769,1594216,1630787,1793493,1803866,1898812,1993427,2253657,2264651,2265436,2529285,2533658,2682925,2697904,2818696,3014651,3035142,3171033,3193907,3219510,3432467,3434144,3442658,3552616,3640787,3755605,3832750,3863412,3878387,3996693,4085867,4094236,4459132,4506726,4599300,4764827,4905920,4970627,5249858,5262856,5365150,5519160,5673251,5887104,5920713,5935547,5968706,5993747,6110051,6112281,6209055,6255251,6279292,6438180,6482536,6622992,6805187,6862907,6867392,7122251,7221146,7276525,7292853,7450866,7664500,7724867,7725816,7730236,7766733,7933658,8111426,8409251,8522867,8673928,8691543,8731830,8821058,8862947,8917096,8947787,9089027,9114805,9176572,9197400,9286427,9313952,9408885,9537436,9646216,9758169,9810560,9964857,10031733,10036144,10127987,10131976,10347075,10379051,10478196,10518251,10629467,10851993,10937766,10953085,11036880,11045387,11290662,11346933,11398473,11459507,11597147,11636546,11772672,11789507,11862925,12036251,12153165,12314728,12326965,12416490,12446051,12826907,12963376,12975193,13021150,13143702,13152107,13244256,13283176,13377506,13395251,13487932,13503107,13556987,13637747,13854069,13896986,14235510,14242586,14583798,14627867,14792358,14899788,14932058,14943573,15184544,15536605,15625380,15633347,16002085,16261485,16339132,16340747,16577481,16601267,16645658,16667072,16920865,17049052,17082612,17327066,17345584,17497058,17609950,17666906,17968667,18110056,18147587,18224147,18504251,18535990,18643926,18750456,18818812,19020506,19202502,19288427,19513782,19516406,19569837,19812205,19861826,19865267,19877212,20044717,20114747,20305038,20373813,20413067,20636051,21033626,21094263,21131940,21374651,21486297,21497051,21594827,21953128,21960347,22195150,22227251,22243188,22324067,22444907,22540736,22627221,22685987,22806227,22830251,22883965,23189651,23191106,23297425,23390056,23452067,23520866,23710137,23735836,23774646,24014426,24087349,24279513,24448965,24515507,24697269,24720805,24834146,25099307,25130332,25150405,25215467,25308251,25314681,25358328,25541128,25578925,25631987,25639653,25809765,25908227,26078896,26114651,26137547,26313813,26634180,26820707,26888627,27108697,27137051,27213436,27460758,27530416,27608627,27698051,27809651,27880580,27956910,28077026,28143251,28165427,28303150,28409792,28497107,28512806,28528119,28635310,28733769,29114728,29155067,29198426,29338758,29351051,29664966,29820704,30128507,30136525,30180486,30302728,30428051,30449387,30513347,30694710,30827485,30874427,30959051,30966061,30971718,31005532,31045917,31262306,31420058,31464107,31505987,31547005,31694051,31961016,31965117,32244501,32375836,32437096,32522051,32624651,32706587,32741024,32754069,33027764,33053387,33236051,33456696,33548292,33613466,33740051,33769058,33857128,33920267,33963780,34040051,34082236,34090569,34219187,34258907,34362372,34437251,35144147,35190793,35205961,35471066,35493707,35628947,35686787,35725307,35761209,35781436,35805805,35929150,35956143,36070547,36120412,36158485,36163830,36228032,36230558,36238946,36329709,36356267,36470051,36491733,36518713,36640187,36753251,36772067,36833652,36959425,36992982,37053347,37135612,37211317,37221251,37397128,37638783,37665827,37776251,37856406,38008365,38051051,38089269,38160467,38305907,38569101,38574752,38726710,38757107,38792987,38821852,38996965,39132251,39327347,39749651,39819587,39829400,39874658,40024346,40288307,40374061,40500892,40529051,40542256,40682987,40707285,40732580,40745185,40756536,40763206,41140907,41216666,41609627,41692667,41808587,41858147,41957051,42055667,42071769,42431027,42544427,42727165,42770051,42866267,42966966,43025987,43031176,43114980,43311467,43390182,43396596,43401885,43421104,43442373,43573658,43578707,43641251,43837372,43859147,44044667,44237230,44274947,44351310,44365881,44473067,44503427,44667496,44730107,44808075,44883266,45067150,45531251,45589667,45605786,45610038,45749651,45825436,45851103,45944421,45989312,46052387,46295344,46324706,46472052,46661267,46796358,46799641,46939427,47022251,47036027,47145052,47182520,47182658,47241707,47308064,47432051,47795280,48083905,48112187,48157977,48230051,48267373,48410073,48541187,48695027,48848742,48879096,48894222,48923627,49124651,49236827,49304858,49666907,49679051,49787987,49865306,49991987,50021896,50170067,50250933,50294230,50346347,50393051,50562626,50567051,50615257,50727827,50771589,50840546,50977307,50981632,51022916,51033467,51076252,51134051,51151150,51234205,51272598,51300251,51508187,51737976,51757940,51798707,52052051,52082262,52145867,52166627,52169590,52221506,52269947,52377436,52568157,52605227,52625267,52629265,52665251,52715051,52754747,52798965,52814051,52816525,52906586,52931606,52951307,53080335,53084676,53099977,53154251,53163827,53221572,53297051,53632427,53714651,53733805,53750987,53766537,53769690,53796227,53805251,53903987,53997436,54063467,54080580,54137085,54246251,54297827,54408587,54505285,54509627,54797747,54830051,54870251,54914965,54988983,55060427,55111816,55343066,55382147,55478867,55566947,55588787,55632251,55675427,55709950,55838267,55838733,56111387,56124707,56184251,56210507,56274633,56277986,56307827,56318896,56384387,56478467,56619024,56708747,56749907,56779067,56882387,56999651,57035797,57102707,57213251,57215836,57259547,57330925,57354336,57467027,57579251,57669251,57677230,57685952,57700686,57746224,57751787,57860051,57900251,57943547,57978251,58091005,58144965,58172867,58189400,58205223,58274121,58317227,58334728,58379051,58381907,58396067,58461251,58495132,58509587,58536251,58564285,58591067,58593251,58643267,58649666,58653107,58699307,58707947,58757051,58772627,58780058,58821107,58853027,58862387,58877051,58883051,58883387,58885787,58887467,58889651,59253256,59467213,59478765,59947106,60087772,60204866,60353076,60541585,60722812,60752329,60846746,61068729,61264885,61313252,61381380,61481046,61773928,61993058,62000793,62021296,62109528,62135673,62305372,62345437,62434941,62603508,62624858,62717997,62972998,63127706,63155118,63190875,63265881,63358758,63379830,63444016,63696402,63880732,64240501,64427846,64480566,64523628,64896696,64964502,65406342,65463075,65473472,65626569,65897958,66386332,66470365,66564616,66659913,66851940,66856630,66946658,67258958,67308661,67403600,67429346,67473928,67605152,67942972,68029466,68149058,68211805,68268506,68325334,68448853,68797110,68953390,69003956,69212676,69376153,69495669,69709206,69773958,69801436,69808226,69827280,69873219,70277142,70377693,70420285,70627226,70874728,71092058,71308736,71374518,71384341,71718493,71848900,72307510,72358466,72649902,72879205,72889880,72908296,73008783,73383584,73494626,73517862,73657656,74057306,74482432,74504858,74885193,75316525,75388117,75544765,75611656,75613658,75616580,75829050,75857110,75908169,76055796,76272026,76297417,76889485,76971309,77131612,77408776,77788058,78434277,78449950,78555690,78741817,78816255,78977896,79200205,79238332,79734069,79764438,79835161,80222328,80227956,80528666,80883517,80884320,81352346,81454658,81479710,81628732,81854166,81961105,81979261,82001115,82021833,82065506,82361253,82556532,82744068,82864863,82987150,82998376,83420953,83470658,83569946,83746726,83792736,83866946,84070672,84504342,84641673,85063113,85444261,85927965,86218680,86276608,86554149,86561965,86769012,86900005,87084873,87236186,87239085,87455046,87467856,87590360,87609837,87662728,87703106,88169185,88449085,88630333,88717658,88850133,88979932,89064910,89576564,89624858,89858085,89983706,90250119,90379830,90653718,90717436,90739896,90994860,91006012,91028532,91290038,91656496,91829858,91966592,92039780,92267382,92666629,92686658,92956724,93055024,93373173,93545853,93828875,94027586,94057576,94139940,94266828,94357058,94439066,94543221,94579506,94719716,94846946,95015836,95040246,95214685,95300092,95593096,95848624,95969858,96044065,96155230,96285506,96314197,96405152,96434236,96442466,96522118,96904857,96996015,97047205,97061184,97064546,97141658,97344136,97525058,97607620,97620375,97775652,97987201,98206106,98353326,98401338,98405637,98539155,98577080,98620569,98872936,98969212,98990565,99044473,99108790,99315266,99584580,99821786,99963016,...,89606423976018429812562073807848670314469612099659692057187225637024983919896874191423948203363742829973567943667700456213883574498282714219397053250091397560187535915823261740192216097725350326726296755855637867180222663505683388991576016505530448143881731024222769948755724950257888400639746677350169586670304857370431953191781429577301556387942848333859867242967293972331454349383202534061936509455597871709298704023142116774078937018222395337113025540589046904071215495781837217147210556731683695221477269165470752750052832246976714453899573283390259346141853474449574587688780403510103417270522156426139211418259412458960380027651969070371519153371864454335640883102630555376901431930014943233990860477291894412443833611386243770428855592356501529852471551239412528703126192709478421003986450394626807792475961158533620937554957630053220468273738178444895513781743825576401590009962900237318451698818088504357902658792104276160036109162204450363938518022926808699465017565403485905698737968884046573516911199188480831292424455749762963774027582719552020581600663007781657166659248282056199013406068147238595059063226272785966324149438231461695350497763873753686290989289355582693451645459514724866360655820606451696897016825571540774391147412031804470199764057996357575327069076780703027404288575190472621444118083777319118556283714185901290494854999395531349311637547135329331954471496188867220933754013698209749759548102491728737631979164759612213658057403020333861083953575434345078400915065171337236338444887605353829346918225397626494491117611029727349471072179150789857945657477212761732186126599966397093996237704758564715854437151800988240714517522621659009644580053134808258617665071913116227035793854389062819030518602565523071732203656702374137741691555609726345185687288777271768753464626072596618075167619591763938341394077605740026057630978733479091902331246491479092587076008489831971844102285552582916680077173648618274964762417232597393392999371669644961410364989568460963102512857667506418864818420736762003444943856775017185282204848289334564207407994763950274224992900678470213360054669586365237807995106058346304303361428043351005457915900974294251034451100095999387561763880873686555563501302606286446124029669169886856691196850509371460076477354911266442709804482664082265486732815762493183743088679394524435565751255268965319386055940407882949827303675229777245741156364924226908905848019334810090296817446508721}
15349  1260377239260918719000330934644393769285890737914273673045069514: {15349,781779,996515,1180487,1195818,1394939,1686410,1992770,2023692,2157159,2360666,2373515,2391324,2466359,2705799,2831795,2848218,3004876,3108539,3201671,3372380,3385499,3398154,3523370,3800487,4046856,4228044,4292680,4440770,4552713,4578587,4604999,4829265,4946099,5117795,5151216,5163987,5219687,5328924,5573915,5672219,5729306,5749125,5770739,5795118,6008968,6132400,6141354,6578570,6688698,6689159,6760089,6898950,7358819,7358880,7589687,7748378,7802459,7849115,7849472,7874787,7894284,8047725,8103170,8149708,8278740,8440439,8584240,8781626,8830656,8850914,8865479,8953059,9011111,9341579,9418938,9580625,9657270,9662795,9723804,9765866,9934488,10250867,10301088,10355644,10775387,10831719,10842410,11146370,11176259,11176299,11254727,11342954,11470715,11496750,11588724,11595354,11622779,11642440,11717459,11900487,11910131,11921795,11970074,12057770,12167139,12263200,12453386,12489479,12545180,12664970,13010892,13010939,13097745,13231587,13260071,13286476,13299299,13375644,13744811,13764858,13796100,13970928,14306154,14469324,14484587,14583688,14690807,14715840,15054216,15129244,15177386,15197964,15383939,15393410,15696896,15717294,15808826,15836027,15846299,16125146,16204220,16262147,16406649,16555320,16603970,16859498,16859915,16935993,17118791,17454819,17524936,17659008,17696771,18472092,18624735,18680714,18936419,18980680,19050419,19208987,19417067,19429799,19445064,19531725,19715553,19723144,19829546,19866384,19924764,20066259,20231898,20396987,20423915,20466299,20584391,20833840,20845479,21311315,21312866,21353265,21363879,21576659,21681980,21875697,22103308,22188537,22249847,22348487,22349594,22349682,22398087,22506506,22637570,22776816,22819034,23166107,23239271,23438070,23514119,23523515,23817146,24089114,24292979,24508698,24512378,24846515,24858568,24968487,25000608,25225607,25475387,25573578,25603336,25623918,25716098,25772531,25990599,26018376,26018474,26093116,26245587,26414925,26500359,26514887,26993171,27069419,27073384,27165084,27441410,27486026,27529154,27803985,27908711,27965889,28074419,28125684,28175498,28175920,28221287,28228218,28382459,28530759,28648396,28803753,29237570,29270673,29274609,29417219,29624987,29657584,29669795,29792739,29799239,29815818,29922899,30169628,30457557,30633626,30838439,31412915,31550439,31613516,31667906,31697910,31699528,31926410,32151587,32372684,32598620,32670899,32722487,32929692,33028874,33139271,33292725,33364782,33752908,33811104,34016795,34186204,34233098,34413020,34517978,34769114,34786659,34850725,34917131,35085084,35281299,35474474,35512240,35603754,35661969,35901059,36021639,36328706,36393410,36514346,36614344,36835226,37230698,37251219,37275880,37652279,37695498,37830311,37878410,37993466,38037492,38149019,38311692,38756915,38770979,39084059,39118344,39159419,39547379,39553288,39951270,40001858,40038107,40240648,40469795,40508426,40546370,40820154,40926280,41191137,41284705,41295624,41394556,41628746,41820870,41867027,41935365,42115539,42321410,42361514,42454725,42602795,42614688,42620156,42769209,42827978,42952965,42992668,43672092,43695947,43769159,43797639,44008137,44396279,44493866,44497449,44526059,44608928,44726795,44731056,44973539,45150515,45261059,45270729,45285040,45453179,45454092,45809786,45816496,45890867,46042065,46119266,46326146,46419515,46457577,46508298,46746410,46893459,47130087,47644427,47681612,47816387,47941524,48218440,48222839,48439612,48527315,48552839,48563754,48655644,49111536,49279034,49323976,49541646,49671059,49782986,49786750,50154218,50185044,50238434,50322438,50420199,50475208,50527946,50626115,50653587,50677820,50759687,50785692,50915725,50945670,51042887,51123354,51425468,51534587,51543558,51726119,51846599,52097411,52216298,53084714,53206599,53324954,53672154,53788970,53817338,53893725,54052187,54180618,54239027,54245745,54268634,54276380,54342048,54345837,54358419,54410378,54796715,54939431,55250478,55379987,55489473,55507379,55513514,55703418,55834370,55955819,56095692,56659667,56784609,57210311,57281795,57289288,57486640,57853576,57862128,57869180,57923164,58090065,58190138,58232778,58235459,58244039,58441226,58463714,58808186,58931315,58978150,59039687,59135080,59154508,59744100,59811987,60036519,60751338,60813384,61098870,61134804,61144809,61259228,61674407,61824999,61827827,61962736,62015387,62395144,62527370,63547019,63713579,63727040,63778645,63794759,63845315,64008359,64210636,64450449,64546764,64672470,64697425,65085273,65094894,65131656,65172128,65192296,65360487,65471795,65539619,65612426,65704451,65756058,65904827,66160199,66269786,66355845,66526965,67001244,67165571,67324899,67496795,67600725,67695452,67696346,67732679,67924331,67942874,68194178,68363464,68408679,68415057,68528231,68738154,68756987,68889770,68983968,69105659,69386027,69443016,69487059,69708078,69930599,70090876,70194537,70398620,70717578,70768994,70773780,70773987,70779568,70962096,71417099,71519795,71688716,71692920,72107440,72182780,72623579,72736750,72918410,73118915,73273113,73318644,73341333,73561838,73578359,73601459,73693139,73788587,73822787,73957287,74066570,74451644,74797959,74898074,75032844,75109715,75441345,75492032,75586979,75843939,75903515,76109066,76260819,76472448,76534374,76614378,76641565,76704887,76726725,76908897,76934248,76976771,77100179,77217410,77526620,77531714,77606964,77636910,77698828,77833739,77881715,78034739,78123393,78138059,78254385,78332259,78389018,78566154,79223939,79305020,79359879,79397409,79464611,79556807,79627014,79832358,79850915,80199434,80470768,80654535,80993474,80996154,81120870,81423146,81424972,81841840,81974728,82300379,82515371,82667724,82812704,82847564,82938587,82982915,83014599,83205770,83246588,83471344,83564925,83623996,83643959,83867546,84006311,84022586,84206824,84254500,84342410,84354508,84416979,84478344,84506440,84521639,84526586,84704507,84928536,84928715,84933707,85017179,85176119,85251191,85623938,85823754,85974088,86031504,86254945,86513819,86515845,86528928,86551029,86619336,86895419,86949539,87208456,87212378,87251795,87263291,87284100,87467639,87502092,87735299,87742698,87863944,87974499,88056947,88170087,88396139,88593410,88879884,88894139,89135920,89141186,89161514,89180987,89306099,89811125,89920659,90131658,90269699,90307299,90423299,90529614,90595859,90790777,91084218,91112350,91135370,91184738,91270119,91363619,91481858,91553018,91729480,91969878,92026487,92054387,92072070,92221569,92283568,92291399,92343947,92391194,92660892,92751527,92783159,92945608,92989587,93012698,93031944,93103040,93164292,93226946,93458058,93524234,93567107,93604826,93702856,93719978,93836924,93905262,93937287,94459497,94514570,94520725,94691559,94732677,94859387,95038137,95069745,95166024,95544603,95708474,95821098,95937434,95989019,96029066,96211706,96414515,96641769,96720849,96760970,96785442,96866536,96904739,97345044,97426307,97446753,98023816,98109513,98110259,98210208,98312666,98358887,98431658,98496578,98640506,98669939,98722370,98782919,98814887,98846937,99047915,99328994,99579498,99581159,99846924,...,119475231968024573083416098410464893752626149466212922742916300849366645226529165588565264271151657106631423924890267274951844765997710285625862737666788530080250047887764348986922954796967133768968395674474183822906963551340911185322101355340707264191842308032297026598340966600343851200852995569800226115560406476493909270922375239436402075183923797778479822990623058629775272465844270045415915345940797162279064938697522822365438582690963193782817367387452062538761620661042449622862947408975578260295303025553961003666737109662635619271866097711187012461522471299266099450251707204680137889694029541901518948557679216611947173370202625427162025537829152605780854510803507407169201909240019924311987813969722525883258444815181658360571807456475335373136628734985883371604168256945971228005315267192835743723301281544711494583406610173404293957698317571259860685042325100768535453346617200316424602265090784672477203545056139034880048145549605933818584690697235744932620023420537981207598317291845395431355881598917974441723232607666350618365370110292736027442134217343708876222212331042741598684541424196318126745417635030381288432199250975282260467330351831671581721319052474110257935527279352966488480874427475268929196022434095387699188196549375739293599685410661810100436092102374270703205718100253963495258824111703092158075044952247868387326473332527375132415516729513772442605961994918489627911672018264279666346064136655638316842638886346149618210743204027111814778604767245793437867886753561782981784593183473805105795890967196835325988156814706303132628096238867719810594209969617015642914835466621862791994983606344752954472582869067984320952690030162212012859440070846411011490220095884154969381058472518750425374024803420697428976271542269832183655588740812968460247583051703029025004619501430128824100223492789018584455192103474320034743507971644638789203108328655305456782768011319775962458803047403443888906769564864824366619683222976796524523999162226193281880486652757947950803350476890008558486424560982349337926591809033356247042939797719112752276543993018600365633323867571293617813406226115153650410660141411128405737815237391134673943887867965725668045934800127999183415685174498248740751335070141715261498706225559849142254929134012495280101969806548355256946405976885443020648977087683324244990784905859365914087668340358620425848074587210510599769738233639702994321541819898969211874464025779746787062423262011628}
15350  1266015799618668648147200407670652415720792828571129846952586542: {291289,474889,521254,566581,582502,658201,888502,932629,1042372,1115221,1206409,1255174,1594424,1661269,1793727,1804102,1865014,2169334,2295049,2385301,2412502,2475481,2529615,2698256,2716102,2876212,2989155,3035538,3188432,3194329,3261574,3462709,3540999,3586986,3607732,3756095,3797624,3986854,4175221,4215475,4272327,4507314,4529302,4530872,5058570,5059381,5067316,5097231,5257847,5285055,5365850,5395808,5498761,5637392,6029302,6070284,6285109,6342066,6387814,6439020,6661155,6864934,6868288,6885316,6892681,7105232,7281574,7410649,7511210,7665500,7726824,7754521,7756774,7993386,8171734,8188472,8438809,8593959,8692677,8918264,9013452,9033781,9118489,9198600,9212031,9529654,9811840,9867855,9941254,10033047,10187135,10348425,10499716,10525712,10730300,11038320,11046901,11346502,11461081,11622567,11774208,11841426,11871094,11937412,11987494,12154755,12220102,12224562,12418110,12510502,12558584,12760727,12876360,12944555,12965072,13172439,13245984,13262089,13276371,13610374,13725814,13734784,14128407,14244502,14442292,14470069,14485905,14553050,14585706,14648799,14901732,15266389,15329000,15334319,15449734,15451632,15460472,15533466,15681475,15867316,16055509,16222852,16263615,16369141,16608095,16719555,16818502,16992949,17014431,17045734,17245125,17257751,17347856,17383086,17393031,17463660,17642116,17725894,17834192,17895574,17955111,17996809,18086655,18178054,18229610,18353144,18394800,18532309,18572854,18627904,18680079,18817770,18911555,18997455,19074872,19292432,19516338,19621120,19893109,19929714,20063466,20072288,20117641,20255275,20255974,20263952,20416009,20647287,20694150,20758102,20956392,21036502,21258934,21304201,21459231,21703986,21751247,21875532,21906170,22073760,22090774,22254709,22327321,22402919,22581324,22689301,22693866,22761481,22766079,22796946,22833589,22919014,23090115,23194294,23273092,23479321,23545344,23575941,23579014,23689211,23713239,23725850,23835541,23906569,24072502,24187719,24189961,24306330,24629456,24653930,24832980,24892102,24905955,25242421,25289247,25653814,25926752,25935061,25950386,26042300,26141449,26287404,26304214,26488512,26566352,26755012,26790502,26824729,26975864,27006214,27102475,27113974,27275494,27298741,27629135,27635161,27708138,27737087,27793972,28021071,28169689,28466867,28471020,28485172,28699609,28962841,29167596,29255734,29485849,29584716,29744319,29799576,29864116,29875081,29887146,30347847,30369088,30454069,30518041,30773209,30836821,30900361,31073210,31250760,31266694,31969299,32004170,32037551,32341909,32522970,32616395,32650249,32678264,32681494,33078901,33154962,33202534,33291316,33334144,33524391,33524523,33624841,33759759,33841730,33956355,34098104,34165224,34228551,34284181,34462489,34609127,34640149,34654132,34691168,34817161,34994116,35110741,35157105,35169241,35210567,35219900,35333812,35460661,35725719,35810495,35937334,36133671,36220112,36267061,36295174,36448294,36763047,36768567,36778009,37008502,37071980,37287852,37500912,37505749,37616629,37637624,37712035,38041012,38057269,38360367,38405004,38435877,38574147,38576854,38763481,39027564,39027711,39032812,39139674,39351541,39516895,39624410,39723652,39730534,39754424,39773749,39826201,39878581,40089434,40139401,40229494,40465855,40552969,40610076,40747626,40748275,40826134,41162115,41164681,41229039,41272102,41293731,41566729,41589119,41616661,41716309,42062809,42067252,42188526,42191135,42263247,42263880,42342327,42357001,42551689,42732755,42749302,42889621,42972594,42994102,43016275,43158479,43189654,43366261,43856355,43906256,43920694,43977011,44067721,44165807,44252041,44297941,44390300,44454502,44486376,44648134,44707801,44723727,44889814,45081472,45156361,45254442,45371974,45553909,45612454,45660502,45767930,45772249,45950439,46074901,46117849,46203529,46379302,46382212,46501141,46594850,46669621,46780112,46836949,46904134,46961689,47041732,47044489,47420274,47471672,47501859,47546865,47549292,47889615,47896501,47936281,48028852,48174698,48446869,48485641,48559026,48716761,48897930,48907381,48945289,49031014,49208629,49394538,49431541,49441610,49543311,49578709,49668292,49688329,49833481,50047173,50128127,50191321,50198614,50260664,50300810,50430934,50541961,50616502,50621879,50629362,50716656,51082256,51157850,51263974,51279306,51349647,51485449,51619530,51712501,51743195,51776967,51816454,52153671,52156021,52157792,52229302,52275094,52311001,52627626,52824469,53174389,53211711,53268360,53275195,53405631,53641414,53684191,53740835,53777254,53816089,53923801,53950549,54083209,54217394,54265909,54274102,54426872,54445081,54470389,54493059,54520789,54590115,54595751,54771519,54817141,54921516,54961429,55008949,55060832,55149781,55196149,55217254,55252839,55396102,55534729,55619302,55761160,55846047,55913820,55940341,56123401,56154052,56286502,56319961,56330854,56339221,56543247,56583049,56606300,56619481,56727049,56779861,56817615,56819584,56866441,56990199,56994214,57017749,57025612,57043259,57056238,57115381,57131401,57226009,57270620,57333109,57348121,57467538,57592309,57633241,57686809,57790489,57828181,57877429,57901621,57960841,57972469,58179721,58189909,58229456,58278361,58310134,58315801,58395829,58396852,58445941,58501129,58523701,58607509,58639369,58677516,58702102,58762741,58788661,58839061,58866421,58892629,58898569,58905589,59329932,59602015,59641408,59818031,59926905,60002787,60257014,60273050,60360972,60549515,60605456,60762639,60819555,60856102,60898774,61026694,61230231,61389420,61654970,61748854,61918102,61932122,61943436,62011064,62091834,62443119,62524612,62731305,62840116,62928214,63011974,63094010,63347275,63388102,63482115,63542271,63922032,63930234,64241967,64281835,64489002,64751672,64874192,65044102,65249302,65413174,65482048,65508138,65800999,66055528,66106774,66472102,66740799,66913392,67096584,67226932,67317467,67480102,67538116,67714256,67840534,67845475,67927560,68080102,68164472,68181138,68438374,68517814,68714679,68724744,68874502,69178899,69489219,69762447,70119615,70288294,70381586,70411922,70942132,70987414,71257894,71373574,71450614,71522418,71562872,71611610,71727887,71798207,71858300,71912286,72141094,72240824,72316970,72327660,72336475,72403955,72456064,72461116,72477892,72659418,72712534,72845631,72940102,72983466,73037426,73280374,73506502,73544134,73667304,73680971,73918551,73918850,73943135,73985964,74106694,74271224,74312469,74422634,74442502,74674479,74680125,74794256,75163987,75227327,75231327,75277566,75331654,75357651,75483657,75552502,75712812,75791919,75838807,76016730,76102102,76178538,76307399,76320934,76418505,76574035,76611814,76685031,76880951,77138202,77149504,77315337,77453420,77514214,77585974,77643704,77993930,78264502,78324447,78654694,79499302,79627071,79639174,79658800,79749316,79987431,80048692,80263295,80508231,80576614,80683455,80726007,80748122,80894099,81001784,81058102,81084512,81270927,81327407,81365974,81402951,81414570,81465160,81490370,81513072,81526412,81615567,81989999,82281814,82433332,82875717,83219254,83270271,83385334,83555127,83617174,83716294,83751555,83914102,84111334,84143538,84619315,84758219,84862054,85088854,85454330,85540102,85732534,85770839,85933932,86051974,86062352,86229960,86622934,86780364,86793192,86803770,86842208,86884746,87147316,87157414,87282502,87285207,87349167,87613595,87661839,87674744,87695571,87718294,87998275,88089334,88212279,88467225,88474460,88549894,88702620,88731762,88946134,89006854,89334992,89460214,89610895,89616150,89766532,90134300,90228475,91062502,91127007,91179334,91211572,91220076,91499302,91648305,91650872,91702206,91888842,91978624,92104774,92590688,92649412,92944104,93058511,93064555,93322534,93592716,93599282,93791055,93878854,94044502,94072054,94290104,94365040,94365316,94483414,94616128,94864102,95496527,95589611,95590560,96167810,96224374,96315954,96460102,96534746,96820146,96908275,97008705,97082374,97123535,97390054,97642341,97697484,97758192,97788444,97847254,98249302,98418639,98473654,98588399,98609716,98634087,99057431,99131275,99333814,99358102,99404679,99575974,99730612,99983974,...,179212847952036859625124147615697340628939224199319384114374451274049967839793748382847896406727485659947135887335400912427767148996565428438794106500182795120375071831646523480384432195450700653452593511711275734360445327011366777983152033011060896287763462048445539897511449900515776801279493354700339173340609714740863906383562859154603112775885696667719734485934587944662908698766405068123873018911195743418597408046284233548157874036444790674226051081178093808142430991563674434294421113463367390442954538330941505500105664493953428907799146566780518692283706948899149175377560807020206834541044312852278422836518824917920760055303938140743038306743728908671281766205261110753802863860029886467981720954583788824887667222772487540857711184713003059704943102478825057406252385418956842007972900789253615584951922317067241875109915260106440936547476356889791027563487651152803180019925800474636903397636177008715805317584208552320072218324408900727877036045853617398930035130806971811397475937768093147033822398376961662584848911499525927548055165439104041163201326015563314333318496564112398026812136294477190118126452545571932648298876462923390700995527747507372581978578711165386903290919029449732721311641212903393794033651143081548782294824063608940399528115992715150654138153561406054808577150380945242888236167554638237112567428371802580989709998791062698623275094270658663908942992377734441867508027396419499519096204983457475263958329519224427316114806040667722167907150868690156801830130342674472676889775210707658693836450795252988982235222059454698942144358301579715891314954425523464372253199932794187992475409517129431708874303601976481429035045243318019289160106269616517235330143826232454071587708778125638061037205131046143464407313404748275483383111219452690371374577554543537506929252145193236150335239183527876682788155211480052115261957466958183804662492982958185174152016979663943688204571105165833360154347297236549929524834465194786785998743339289922820729979136921926205025715335012837729636841473524006889887713550034370564409696578669128414815989527900548449985801356940426720109339172730475615990212116692608606722856086702010915831801948588502068902200191998775123527761747373111127002605212572892248059338339773713382393701018742920152954709822532885419608965328164530973465631524986367486177358789048871131502510537930638772111880815765899654607350459554491482312729848453817811696038669620180593634893017442}
15351  1271679384758740104614204479554004176945640747472707431024385302: {30698,781881,873753,1302965,1332753,1395121,1563558,1854809,1882761,1993030,2360974,2391636,2706153,2789878,2797521,3254001,3322921,3372820,3595265,3618753,3783793,3964513,3985540,4047384,4074153,4314318,4509665,4553307,4721332,4747030,4782648,4892361,4932718,5380479,5411598,5527993,5663590,5696436,5980281,6009752,6168721,6217078,6334145,6403342,6744760,6760971,6770998,6793953,6796308,6899849,7046740,7164913,7587855,7600974,7803481,8048775,8093712,8456088,8585360,8606645,8881540,8912321,9043953,9105426,9157174,9209998,9513099,9581721,9581875,9658530,9892198,10204433,10235590,10297401,10302432,10327974,10439374,10657848,10922361,10988761,11147830,11266815,11344438,11458612,11498250,11541478,11590236,11635161,11925089,11990079,12017936,12114661,12214313,12257601,12264800,12282708,12491113,13124645,13157140,13301041,13377396,13378318,13412875,13520178,13527913,13797900,14294481,14415641,14692729,14717638,14717760,14911881,14921765,15179374,15496756,15604918,15670993,15698230,15698944,15749574,15788568,16059001,16095450,16206340,16299416,16557480,16690513,16880878,17019753,17168480,17563252,17661312,17699089,17701828,17730958,17762139,17806641,17906118,17929241,17981241,18022222,18052865,18330153,18336843,18422441,18627165,18683158,18765753,18837876,18927161,19161250,19218901,19314540,19325590,19447608,19531732,19834145,19868976,20278565,20364241,20415561,20501734,20588721,20602176,20711288,20720033,20914213,21164233,21366753,21550774,21663438,21684820,21829575,21878559,22052645,22292740,22352518,22352598,22509454,22685908,22941430,22993500,23174601,23177448,23190708,23245558,23284880,23300199,23434918,23468453,23603881,23800974,23820262,23843590,23940148,24115540,24296161,24334278,24526400,24906772,24978958,25090360,25227753,25329940,25568601,25667189,26021784,26021878,26074629,26114993,26155061,26195490,26463174,26520142,26572952,26588841,26598598,26751288,26843361,27267081,27344415,27464593,27489622,27529716,27592200,27697913,27859281,27872801,27941856,28226655,28593481,28612308,28854769,28938648,28969174,29091365,29167376,29274507,29381614,29411801,29431680,29812081,29835841,29852009,29894571,30095199,30108432,30258488,30354772,30383961,30395928,30767878,30786820,31041225,31137153,31393792,31434588,31554753,31617652,31672054,31692598,31828049,31888401,32250292,32408440,32524294,32552875,32555979,32813298,32859255,32932921,33110640,33136161,33207940,33443765,33718996,33719830,33871986,34040799,34195419,34237582,34378521,34742465,34785121,34791441,34909638,35049872,35318016,35368521,35372321,35393542,35588775,35606465,36108753,36459495,36944184,36980895,37249470,37325209,37330145,37338153,37361428,37872838,37961360,38100838,38417974,38480721,38719241,38834134,38859598,38890128,38925579,39063450,39164593,39316373,39431106,39446288,39456321,39659092,39700529,39732768,39849528,40124713,40132518,40185753,40463796,40509321,40670961,40793974,40847830,40913241,40932598,41165941,41168782,41537713,41562207,41614145,41667680,41690958,42622630,42625732,42639641,42706530,42727758,43153318,43317665,43363960,43617761,43742645,43751394,43883601,43909321,43978081,44024875,44167265,44206616,44377074,44499694,44588501,44696974,44699188,44699364,44796174,44830719,45013012,45275140,45553632,45638068,46332214,46339975,46478542,46609815,46876140,46900041,47028238,47047030,47551265,47623513,47634292,48006255,48178228,48585958,48587881,48784455,48791015,49017396,49022241,49024756,49654565,49693030,49717136,49732443,49803801,49936974,50001216,50451214,50693813,50762595,50832521,50950774,51147156,51206672,51247836,51432196,51545062,51817481,51981198,52036752,52036948,52186232,52491174,52584065,52829850,53000718,53026073,53029774,53906001,53986342,54138838,54146768,54234661,54259681,54330168,54442761,54613813,54672441,54882820,54972052,55058308,55487875,55512753,55514713,55607970,55817422,55931778,56148838,56251368,56350996,56351840,56442574,56456436,56657713,56764918,57061518,57296792,57299201,57607506,57798587,57865281,57977765,58233401,58297913,58475140,58541346,58549218,58709511,58802165,58834438,59249974,59315168,59339590,59436615,59585478,59595801,59598478,59631636,59643913,59814841,59815061,59845798,59988721,60036065,60134151,60339256,60344241,60620089,60915114,61121439,61239201,61267252,61676878,61908153,62085365,62368433,62617513,62825830,63013841,63100878,63210721,63227032,63282789,63335812,63395820,63399056,63852820,63975329,64123953,64303174,64359161,64458891,64491153,64745368,64784481,64987321,65197240,65341798,65444974,65562533,65859384,65871413,65881041,65895929,66057748,66278542,66496841,66585450,66681753,66729564,66972201,67334721,67505816,67622208,67761301,67881663,67938241,68033590,68057961,68309113,68372408,68418681,68466196,68490753,68558561,68651895,68826040,69035956,69101689,69538228,69568953,69573318,69701450,69834262,69892275,70170168,70192565,70356201,70562598,70757875,70876561,70948948,71024480,71130411,71207508,71237713,71282015,71323938,71363713,71588275,71802118,71908181,72043278,72262047,72593081,72657412,72786820,72838539,72996065,73028692,73228688,73346895,73546521,73546649,73670452,74091807,74162415,74461396,74502438,74551760,75297921,75304558,75390996,75451215,75451409,75646401,75660622,75756820,75924753,75944043,75986932,76002533,76074984,76298038,76623384,76715401,76736775,76895961,76918959,77429295,77513830,77541958,77549089,77724681,78155765,78168118,78236688,78318838,78343953,78412641,78550145,78842321,78941439,79094758,79106576,79377493,79902540,80003716,80076214,80194513,80462121,80481296,80665881,80926613,80939590,81016852,81092740,81326091,81411153,81640308,81852560,82382274,82503841,82569410,82591248,82789112,82825881,83038769,83094153,83257492,83428953,83641740,83734054,83810609,83870730,84033665,84231078,84422645,84429753,84496281,84642820,84723028,84909450,84944929,85205590,85226741,85229376,85240312,85491321,85538418,85584357,85655956,85905930,85985336,86201307,87039521,87344184,87391894,87465201,87538318,87595278,87652633,88016274,88053153,88677665,88792558,88987732,88994898,89052118,89217856,89290103,89383441,89453590,89462112,89822875,89896981,89947078,90301030,90385521,90409575,90522118,90541458,90570080,90575441,90576395,90597365,90906358,90908184,91284153,91348161,91540041,91619572,91632992,91660513,91781734,92084130,92238532,92451689,92482455,92618549,92623281,92652292,92839030,92877153,92898183,92915154,93016596,93137751,93281449,93420161,93492820,93786918,94021681,94260174,94392321,94495513,94517961,94641015,94819513,95082153,95260121,95288854,95363224,95419921,95632774,95883048,95895351,96194681,96436880,96445678,96733503,96816775,96879224,97054630,97105678,97127508,97128449,97311288,97345961,97566153,97873953,98119761,98223072,98262207,98558068,98647952,98700313,99083292,99160161,99342118,99352273,99565972,99573500,99686645,99708153,99925001,...,268819271928055289437686221423546010943408836298979076171561676911074951759690622574271844610091228489920703831003101368641650723494848142658191159750274192680562607747469785220576648293176050980178890267566913601540667990517050166974728049516591344431645193072668309846267174850773665201919240032050508760010914572111295859575344288731904669163828545001579601728901881916994363048149607602185809528366793615127896112069426350322236811054667186011339076621767140712213646487345511651441631670195051085664431807496412258250158496740930143361698719850170778038425560423348723763066341210530310251811566469278417634254778237376881140082955907211114557460115593363006922649307891666130704295790044829701972581431875683237331500834158731311286566777069504589557414653718237586109378578128435263011959351183880423377427883475600862812664872890159661404821214535334686541345231476729204770029888700711955355096454265513073707976376312828480108327486613351091815554068780426098395052696210457717096213906652139720550733597565442493877273367249288891322082748158656061744801989023344971499977744846168597040218204441715785177189678818357898972448314694385086051493291621261058872967868066748080354936378544174599081967461819355090691050476714622323173442236095413410599292173989072725981207230342109082212865725571417864332354251331957355668851142557703871484564998186594047934912641405987995863414488566601662801262041094629249278644307475186212895937494278836640974172209061001583251860726303035235202745195514011709015334662816061488040754676192879483473352833089182048413216537452369573836972431638285196558379799899191281988713114275694147563311455402964722143552567864977028933740159404424775852995215739348681107381563167188457091555807696569215196610970107122413225074666829179035557061866331815306260393878217789854225502858775291815024182232817220078172892936200437275706993739474437277761228025469495915532306856657748750040231520945854824894287251697792180178998115008934884231094968705382889307538573002519256594455262210286010334831570325051555846614544868003692622223984291850822674978702035410640080164008759095713423985318175038912910084284130053016373747702922882753103353300287998162685291642621059666690503907818859338372089007509660570073590551528114380229432064733799328129413447992246796460198447287479551229266038183573306697253765806895958158167821223648849481911025689331737223469094772680726717544058004430270890452339526163}
15352  1277368104861180430322462719545880280271592968712246304191923038: {46047,352567,582578,810847,949778,1042508,1133162,1165004,1267327,1316402,1358407,1777004,1865258,2084744,2230442,2345337,2412818,2510348,2715967,2895751,2989545,3188848,3322538,3541461,3587454,3608204,3730028,3790351,4057327,4184817,4216025,4338668,4590098,4770602,4825004,4950962,4981925,5059230,5258533,5396512,5432204,5733127,5752424,5901665,5978310,5995351,6071076,6376864,6388658,6471477,6523148,6864751,6925418,7081998,7120545,7173972,7215464,7399077,7512190,7555087,7595248,7726951,7973708,8117397,8350442,8411527,8430950,8495385,8544654,8752087,8808425,8837047,9014628,9058604,9061744,9325617,9598447,9605013,10018927,10117140,10118762,10134632,10156497,10194462,10515694,10521127,10570110,10731700,10791616,10997522,11101925,11103751,11274784,11401461,11765287,12058604,12140568,12504007,12570218,12684132,12775628,12878040,13322310,13398967,13560751,13658139,13729868,13735761,13736576,13770632,13785362,13814997,14124727,14210464,14261989,14323265,14487795,14563148,14764951,14821298,14838297,15003847,15022420,15331000,15353385,15453648,15491961,15509042,15513548,15659061,15716647,15795487,15986772,16343468,16376944,16446425,16721745,16877618,16891687,17016657,17187918,17247375,17312217,17385354,17836528,18026904,18067562,18122377,18236978,18280351,18397200,18424062,18509527,19059308,19370945,19623680,19735710,19882508,20020807,20066094,20067477,20170351,20257925,20280267,20374270,20389589,20691487,20696850,20913751,20999432,21051424,21061567,21429847,21460600,21649951,21954065,22015351,22076457,22076640,22093802,22127285,22693004,22769061,22922162,23245134,23251333,23407377,23547345,23548416,23601727,23624361,23682852,23742188,23874824,23974988,24143175,24309510,24414665,24440204,24449124,24836220,25021004,25117168,25321317,25431607,25521454,25570351,25752720,25889110,25915951,25930144,26344878,26476177,26491968,26524178,26552742,26596437,26859177,27033333,27106025,27145207,27220748,27451628,27469568,27865925,27951751,28024737,28256814,28357385,28489004,28741875,28884584,28940138,28971810,28988385,29106100,29171412,29297598,29403487,29803464,29925185,30116287,30144425,30532778,30565351,30658000,30668638,30752601,30899468,30903264,30920944,31010887,31066932,31074247,31133465,31200751,31362950,31498841,31515751,31662425,31703887,31734632,32111018,32326161,32445704,32449951,32495157,32527230,32573287,32738282,33216190,33246487,33439110,33528777,33528897,33637004,33642661,33764181,33790807,33985898,34028862,34090687,34091468,34150447,34269751,34412145,34490250,34515502,34566751,34695712,34766172,34786062,34868337,34927320,35152377,35284232,35451788,35668384,35701461,35730393,35736751,35765385,35791148,35909767,35910222,35993618,36173310,36356108,36459220,36481807,36501417,36706288,36789600,37064618,37145708,37255808,37270567,37360158,37468437,37635540,37823110,37825327,37880407,37943465,37994910,38149744,38483525,38584864,38680789,38805751,38913247,38966887,39032676,39032817,39242240,39293235,39340351,39522065,39694761,39780213,39786218,39859428,39897897,40126932,40144576,40235282,40312865,40387951,40510550,40511948,40527904,40747807,40832018,41053447,41234433,41294574,41388300,41509925,41516204,41806207,41912784,42073004,42148745,42517868,42599381,42608402,42880951,42918462,43263127,43407972,43453761,43502494,43751064,43812340,43920847,44072421,44147520,44152327,44181548,44382007,44509418,44518951,44654642,44805838,44880967,45162648,45378602,45387732,45415351,45522962,45532158,45593892,45662953,45667178,45838028,45939367,45982567,46068751,46151817,46180230,46388588,46410607,46546184,46701785,46958642,47090688,47151882,47158028,47245087,47378422,47408527,47426478,47451700,47508081,47538897,47671082,47813138,47852047,48011167,48145004,48375438,48379922,48597607,48612660,48660953,48786441,48789487,49150777,49219947,49258912,49307860,49573865,49665960,49721887,49784204,49811910,50134693,50188951,50365351,50484842,50578494,50579745,50609287,50807979,51153607,51307628,51319927,51356373,51808087,51853504,51870122,51871951,51900772,51967207,52030351,52084600,52186951,52280047,52282898,52364457,52574808,52608428,52645951,52735807,52796849,52977024,53088751,53090313,53132704,53146567,53282165,53510024,53581004,53649458,53951728,54012428,54190351,54204950,54227948,54268327,54550988,54597482,55258270,55270322,55323653,55405351,55416276,55450207,55474174,55587944,55626751,55691767,55873985,55874205,55903807,56042142,56047951,56148751,56208367,56266265,56339378,56478007,56533951,56570887,56593925,56652197,56809257,56933734,56942040,56970344,57047585,57057751,57090367,57151257,57170647,57264607,57386549,57399218,57516751,57586951,57626961,57695527,57761047,57874447,57886687,57925682,57946807,58116367,58251201,58289397,58335192,58440727,58511468,58564567,58595175,58599487,58612951,58721167,58766527,58861927,58870351,58889647,58897567,58899367,58907287,58920247,58971698,59067589,59146659,59169432,59488638,59542865,59599152,59728232,59750162,59774292,59825857,60198777,60222785,60695694,60738176,60908138,61036082,61190961,61271745,61280945,61398897,61546418,61673642,61753173,61800722,62146420,62501520,62533388,62536437,63444953,63933945,63938598,64008340,64059795,64075102,64091637,64290245,64683818,64729977,65045940,65046185,65232790,65300498,65356528,65362988,65627091,66157802,66309924,66405068,66565611,66582632,66668288,66749541,67045461,67048782,67049046,67194261,67249682,67519518,67683460,67912710,68196208,68330448,68457102,68568362,68603525,68715065,68822885,68924978,69218254,69280298,69308264,69382336,69498321,69634322,69717813,69988232,70221482,70314210,70338482,70421134,70438745,70439800,70542357,70570545,70667624,70921322,71451438,71620990,71874668,72267342,72440224,72440473,72534122,72590348,72878937,72896588,73093925,73526094,73537134,73542293,73556018,74017004,74143960,74539545,74575704,74585273,74905461,75001824,75011498,75233258,75237169,75275248,75424070,75676821,75848729,76082024,76114538,76426161,76584065,76720734,76810008,76871754,77148294,77153708,77317593,77526962,77764817,77971797,78055128,78055422,78065624,78279348,78703082,78736761,79033790,79169765,79244775,79248820,79447304,79461068,79501077,79508848,79538261,79544661,79547498,79652402,79757162,79816025,80178868,80278802,80458988,80931710,80979513,81105938,81208257,81220152,81495252,81496550,81652268,82324230,82329362,82458078,82544204,82572185,82587462,83133458,83178238,83233322,83411955,83432618,83442821,83726133,83897667,84006809,84125618,84134504,84223257,84377052,84382270,84526494,84527760,84663861,84684654,84714002,84769321,85103378,85147377,85465510,85498604,85582745,85592277,85779242,85945188,85988204,86032550,86294945,86316958,86379308,86411259,86732522,86922785,87712710,87812019,87812512,87823827,87841388,87954022,88135442,88251657,88331614,88504082,88595882,88686185,88780600,88874961,88909004,88972752,89009385,89296268,89378217,89397717,89415602,89447454,89627681,89768697,89779628,89994569,90162944,90312722,90508884,90743948,90821765,90983525,91107818,91224908,91285865,91321004,91372671,91535860,91544498,91900878,92088065,92149802,92235698,92407058,92515317,92758604,92764424,93002282,93076745,93189700,93339242,93560224,93673898,93808268,93923378,94083464,94088978,94238745,94651317,94696025,94840548,94943344,94983665,95003718,95093730,95098584,95602117,95779230,95793002,95872562,96057704,96349396,96454761,96893738,96971282,97118052,97433522,97795860,97814762,97890578,97971401,98012697,98062028,98167461,98417258,98789076,98863082,98883220,99086622,99157418,99336584,99376658,99417813,99666962,99878175,...,358425695904073719250248295231394681257878448398638768228748902548099935679587496765695792813454971319894271774670801824855534297993130856877588213000365590240750143663293046960768864390901401306905187023422551468720890654022733555966304066022121792575526924096891079795022899801031553602558986709400678346681219429481727812767125718309206225551771393335439468971869175889325817397532810136247746037822391486837194816092568467096315748072889581348452102162356187616284861983127348868588842226926734780885909076661883011000211328987906857815598293133561037384567413897798298350755121614040413669082088625704556845673037649835841520110607876281486076613487457817342563532410522221507605727720059772935963441909167577649775334445544975081715422369426006119409886204957650114812504770837913684015945801578507231169903844634134483750219830520212881873094952713779582055126975302305606360039851600949273806795272354017431610635168417104640144436648817801455754072091707234797860070261613943622794951875536186294067644796753923325169697822999051855096110330878208082326402652031126628666636993128224796053624272588954380236252905091143865296597752925846781401991055495014745163957157422330773806581838058899465442623282425806787588067302286163097564589648127217880799056231985430301308276307122812109617154300761890485776472335109276474225134856743605161979419997582125397246550188541317327817885984755468883735016054792838999038192409966914950527916659038448854632229612081335444335814301737380313603660260685348945353779550421415317387672901590505977964470444118909397884288716603159431782629908851046928744506399865588375984950819034258863417748607203952962858070090486636038578320212539233034470660287652464908143175417556251276122074410262092286928814626809496550966766222438905380742749155109087075013858504290386472300670478367055753365576310422960104230523914933916367609324985965916370348304033959327887376409142210331666720308694594473099859049668930389573571997486678579845641459958273843852410051430670025675459273682947048013779775427100068741128819393157338256829631979055801096899971602713880853440218678345460951231980424233385217213445712173404021831663603897177004137804400383997550247055523494746222254005210425145784496118676679547426764787402037485840305909419645065770839217930656329061946931263049972734972354717578097742263005021075861277544223761631531799309214700919108982964625459696907635623392077339240361187269786034884}
15353  1283082070587277869650344776864941532586405536773481289705360801: {61396,873867,1303135,1424667,1456255,1563762,1699743,1747506,1824151,1855051,1974603,2192047,2221255,2605930,2665506,2790242,2797887,3127116,3137935,3345663,3619227,3709618,3765522,3875707,3986060,4427191,4510255,4662535,4721948,4783272,4884847,4983807,5033371,5381181,5412306,5423335,5579756,5595042,5987383,6031255,6313531,6508002,6645842,6745640,6790255,6885147,7155903,7190530,7236427,7237506,7426443,7546351,7567586,7588845,7929026,7971080,8094768,8097403,8148306,8153935,8154367,8628636,8867803,8913487,8967465,9019330,9106614,9442664,9494060,9565296,9582987,9623071,9784722,9865436,9967135,10388127,10532743,10622997,10760958,10823196,10908187,11055986,11268285,11323255,11327180,11392872,11926651,11960562,12019504,12049303,12215911,12261007,12337442,12434156,12525663,12646425,12668290,12806684,12816981,13263547,13414625,13489520,13521942,13541996,13587906,13592616,13651291,13799698,13931467,14093287,14093480,14329826,14417527,15073255,15118843,15175710,15178143,15201948,15291693,15322831,15606962,15773541,15855165,15969535,16097550,16187424,16402951,16496283,16912176,16932751,17162335,17170720,17213290,17391391,17763080,17824642,18087906,18203935,18210852,18264367,18314348,18374503,18419996,18622663,18778025,18855327,18941383,19026198,19163442,19163750,19317060,19391935,19784396,19983465,20408866,20429335,20471180,20589787,20594802,20604864,20655948,20678043,20722747,20822551,20878748,20890471,21189103,21315696,21422407,21844722,21977522,22231947,22295660,22368463,22533630,22688876,22917224,22996500,23082956,23180472,23263563,23270322,23471527,23520283,23824135,23850178,23980158,24035872,24229322,24428626,24515202,24529600,24565416,24853135,24901327,24917947,24982226,25086967,25274011,25316427,25670551,25781877,26078031,26249290,26314280,26552791,26602082,26672983,26754792,26756636,26825750,26919247,27000247,27040356,27055826,27101343,27355467,27595800,27636093,27767803,27916027,28215631,28366255,28389991,28588962,28831282,29232127,29385458,29435276,29435520,29603565,29677735,29823762,29843530,29930743,29968735,30099141,30185551,30358748,30550255,30561405,30846523,30873703,30956491,30993512,31045275,31198327,31209836,31276255,31341986,31396460,31397888,31499148,31577136,32118002,32161327,32190900,32412680,32598832,32940583,33114960,33140703,33157807,33381026,33707131,33761756,33984823,34025935,34039506,34314535,34336960,34383243,34867701,35119051,35126504,35279647,35322624,35398178,35398471,35403656,35461916,35524278,35611255,35613282,35812236,35858482,35962482,36044444,36072763,36105730,36382625,36464265,36660306,36673686,36685087,36844882,37254330,37366316,37531506,37614967,37675752,37854322,38282181,38322500,38437802,38468671,38624335,38629080,38651180,38833665,38895216,39063464,39517317,39548983,39668290,39737952,39786267,39829113,40032751,40557130,40727911,40728482,40831122,41003468,41177442,41204352,41422576,41440066,41666251,41828426,42027847,42044383,42046255,42328466,42385221,42614335,42733506,42833551,43101548,43326876,43369640,43410207,43457715,43659150,43757118,43946397,44105290,44314735,44366551,44585480,44601007,44705036,44705196,44738935,45018908,45371816,45445135,45574025,45759103,45794587,45799167,45882860,45987000,46002957,46349202,46354896,46381416,46432135,46491116,46553551,46569760,46600398,46780543,46821271,46869836,46918807,46936906,47044425,47207762,47218351,47601948,47640524,47658607,47687180,47873143,47880296,48166527,48231080,48592322,48639451,48668556,48790845,49052800,49107423,49339687,49813544,49824285,49834207,49849051,49957916,50142511,50158665,50180720,50392303,50455506,50639935,50659880,50700511,50978847,51043293,51137202,51208471,51334378,51421051,51548263,51735375,51773253,51895255,52043568,52043756,52149258,52179093,52229986,52262203,52264423,52310122,52390980,52591255,52926348,53040284,53145904,53147335,53177682,53197196,53502576,53686722,53865333,53990427,54092383,54259965,54345163,54534162,54688830,54765425,54789703,54823567,54929186,54979244,55059432,55184400,55226935,55395826,55596927,55718562,55745602,55883712,56040237,56453310,56537851,56657791,56734665,56992365,57186962,57224616,57297535,57709538,57718207,57877296,57938348,57985735,58182730,58259803,58334752,58549014,58763228,58811551,58823602,58863360,58913263,58947535,59167867,59314625,59624162,59671682,59679327,59704018,59789142,60181255,60190398,60192331,60216864,60337951,60352923,60516976,60644731,60709544,60765825,60767922,60791856,61239703,61248027,61417807,61535756,61573640,61634825,61834171,61941861,62082450,62230255,62274306,62787584,62869176,63065287,63109506,63235304,63344108,63385196,63652711,63656098,63776802,63912603,64134535,64377693,64500584,64816880,64875965,65048588,65105750,65111958,65156491,65253741,65626596,65718510,65760535,65865842,66221280,66272322,66415880,66442567,66505627,66571771,66764127,66852127,66887530,66939583,66976255,66981963,67193143,67208757,67391383,67437992,67439660,67515535,67743972,67784935,68067903,68081598,68188735,68284443,68298237,68307421,68390838,68475164,68500767,68757042,68780107,69254587,69270345,69484930,69516391,69570242,69582882,69819276,70084087,70099744,70416967,70437963,70636032,70727823,70737042,70744642,70787084,71067633,71139717,71177550,71212930,71506623,71666047,71719707,71930827,72217506,72419983,72563157,72569883,72918990,73139335,73617691,73620991,73888368,73961790,74470903,74498940,74650418,74660290,74676306,74717865,74722856,75607207,75727263,75745676,75778747,75867741,75922720,76201676,76435771,76835948,76961442,77438482,77483803,77668268,77683025,77719196,77780256,77805183,77851158,77877007,78126900,78166735,78329186,78424347,78632746,78862212,78892576,78912642,79318184,79401058,79465536,79536967,79699056,80010425,80210251,80249426,80265036,80367967,80371506,80474187,80690023,80927592,81018642,81168871,81244087,81307425,81341922,81360247,81473227,81587948,81695660,81703735,81826482,81865196,81896223,82323031,82331882,82337564,82887405,82905483,82955227,83006335,83075426,83124414,83211261,83228290,83335360,83381916,84050491,84063213,84509067,84604325,84688207,84939151,85245260,85251464,85279282,85400601,85413060,85455516,85791823,86098827,86159503,86306636,86470927,86635330,86727920,86888523,86918767,86919511,87235522,87485290,87502788,87767202,87818642,87956162,88049750,88334530,88413232,88457547,88754148,88999388,89096503,89169847,89177002,89232957,89384143,89393948,89398376,89398728,89567707,89590651,89592348,89625243,89661438,89843335,89912983,90026024,90447391,90535087,90550280,90737935,90954943,91043541,91107264,91120735,91276136,91362207,91526347,91554123,92319627,92510463,92521255,92664428,92679950,92701083,92776651,92957084,93182407,93219630,93391591,93605671,93752280,93800082,93861751,94056476,94094060,95102530,95247026,95268584,95875531,95902663,95907897,96004567,96012510,96112653,96356456,96367951,96442135,97025727,97136527,97171916,97175762,97452751,97568910,97582030,97658167,97849185,97950747,98034792,98044482,98049512,98136727,98269591,98844511,99061025,99236703,99309130,99326335,99386060,99434272,99464886,99607602,99794821,99873948,...,537638543856110578875372442847092021886817672597958152343123353822149903519381245148543689220182456979841407662006202737283301446989696285316382319500548385361125215494939570441153296586352101960357780535133827203081335981034100333949456099033182688863290386145336619692534349701547330403838480064101017520021829144222591719150688577463809338327657090003159203457803763833988726096299215204371619056733587230255792224138852700644473622109334372022678153243534281424427292974691023302883263340390102171328863614992824516500316993481860286723397439700341556076851120846697447526132682421060620503623132938556835268509556474753762280165911814422229114920231186726013845298615783332261408591580089659403945162863751366474663001668317462622573133554139009179114829307436475172218757156256870526023918702367760846754855766951201725625329745780319322809642429070669373082690462953458409540059777401423910710192908531026147415952752625656960216654973226702183631108137560852196790105392420915434192427813304279441101467195130884987754546734498577782644165496317312123489603978046689942999955489692337194080436408883431570354379357636715797944896629388770172102986583242522117745935736133496160709872757088349198163934923638710181382100953429244646346884472190826821198584347978145451962414460684218164425731451142835728664708502663914711337702285115407742969129996373188095869825282811975991726828977133203325602524082189258498557288614950372425791874988557673281948344418122003166503721452606070470405490391028023418030669325632122976081509352385758966946705666178364096826433074904739147673944863276570393116759599798382563977426228551388295126622910805929444287105135729954057867480318808849551705990431478697362214763126334376914183111615393138430393221940214244826450149333658358071114123732663630612520787756435579708451005717550583630048364465634440156345785872400874551413987478948874555522456050938991831064613713315497500080463041891709649788574503395584360357996230017869768462189937410765778615077146005038513188910524420572020669663140650103111693229089736007385244447968583701645349957404070821280160328017518191426847970636350077825820168568260106032747495405845765506206706600575996325370583285242119333381007815637718676744178015019321140147181103056228760458864129467598656258826895984493592920396894574959102458532076367146613394507531613791916316335642447297698963822051378663474446938189545361453435088116008860541780904679052326}
15354  1288821393081646759204311627566359675249677237868652880451728772: {76745,92094,352613,627833,705134,719429,1024229,1165156,1267493,1621694,1722233,1899556,1933829,2084729,2085016,2266324,2330008,2345643,2534654,2536229,2621259,2632804,2716814,2746313,2926073,3374213,3523193,3554008,3730516,3908895,3968933,3998259,4087493,4169488,4176329,4185363,4235513,4412873,4460884,4690674,4825636,4982575,5020696,5060729,5431934,5564427,5648283,5791502,5902435,5937929,5979090,6377696,6431813,6645076,6807929,6894533,6952229,6974695,7082922,7174908,7216408,7240229,7460056,7470053,7580702,7756613,8013833,8114654,8118459,8241929,8262331,8369634,8392563,8432050,8441093,8668229,8677336,8866553,8951429,9036233,9092729,9180196,9290213,9431033,9541204,9650008,9762003,9901924,9963850,9968763,10118460,10271753,10517066,10633829,10717193,10785795,10793024,10856259,10864408,11105273,11351379,11466254,11504848,11601929,11794373,11803330,11867575,11893539,11931593,11956620,11990702,12142152,12222459,12331795,12753728,12777316,12942954,13046296,13103429,13528995,13643429,13659921,13724153,13729502,13850836,13912229,14158975,14163996,14241090,14347944,14430928,14527433,14677083,14767013,14793593,14798154,15024380,15032453,15110174,15164873,15190496,15453902,15542695,15718853,15947416,16008355,16141437,16234794,16583979,16700884,16738313,16823054,16861900,16927495,16990770,16997753,17089308,17504174,17616850,17674094,17940843,18029256,18053093,18117208,18123488,18231929,18308453,18506163,18537593,18651234,19002435,19196894,19210026,19823813,19948793,20037854,20052571,20123429,20173253,20198153,20234280,20237524,20269264,20282913,20312994,20381859,20388924,20421893,20545913,20699547,21031388,21042254,21064613,21140220,21463400,21494739,21583232,21969929,21995044,22203850,22207502,22549568,22695929,22763565,22768133,22802922,22816229,22892935,23024995,23410443,23462393,23530574,23700233,24096787,24117208,24126329,24146325,24244229,24281136,24408953,24730495,24760613,25008014,25140436,25180229,25296329,25368264,25551256,25588975,25712633,25756080,25819935,25942793,26098435,26400713,26560229,26644620,26736963,26797934,26900729,27013829,27119323,27121502,27131859,27316278,27419333,27459736,27471522,27473152,27541264,27570724,27629994,27688229,27869575,27978233,28244729,28249454,28361095,28420928,28523978,28539297,28646530,28745163,28745625,28853695,28971653,28975590,29015429,29126296,29494853,29529902,29642596,29676594,30007694,30044840,30142373,30527429,30570053,30613299,30662000,30706770,30735691,30782693,30888713,30892203,30907296,30978199,30983922,31018084,31027096,31318122,31433294,31478729,31583429,31590974,31973544,32455013,32686936,32753888,32767083,32892850,32966283,33068933,33443490,33445795,33494393,33735929,33755236,33783374,33800445,33996293,34033314,34180531,34235429,34295033,34375836,34494750,34572233,34624434,34690553,34770708,34905483,34926329,35160953,35204587,35510729,35568773,35646053,35673056,35703929,35775267,35970237,36053808,36087929,36135124,36145253,36244754,36278729,36343983,36473956,36560702,36620153,36642939,36714533,36772803,36794095,36794400,36848124,37019054,37164773,37225903,37473339,37948435,38118616,38741890,38812133,39012295,39245575,39247360,39364553,39373935,39399929,39471420,39700339,39765016,39891833,39903123,40041614,40132188,40134954,40152773,40187429,40238625,40340702,40411913,40515850,40560534,40583739,40748540,40754633,40779178,41127929,41212229,41382974,41393700,41413733,41713829,41763593,41827502,41829833,41879429,41895259,41998864,42077093,42102848,42123134,42202195,42501413,42614729,42859694,42883443,42904313,42921200,42936329,43095929,43246923,43299902,43381193,43586851,43601273,43648229,43908130,43928453,44030702,44078187,44152914,44153280,44187604,44254570,44298053,44327395,44389733,44723429,44735643,44753573,44765295,44798729,44903813,44993573,45055555,45386008,45423353,45438053,45538122,45844324,46091273,46219973,46490268,46502666,46545929,46686329,46707895,46814754,47012979,47094690,47096832,47130233,47203454,47248722,47267273,47335493,47365704,47417093,47484376,47511929,47713829,47749648,47903125,47949976,48177003,48177929,48286350,48313975,48529253,48606533,48619020,48798473,48829330,48880408,48887429,48898248,48950729,48988613,49363493,49597193,49672440,49731173,49852133,50020133,50042008,50071539,50091653,50210213,50234336,50344723,50584229,50642634,50863214,51042908,51059259,51096329,51140702,51254335,51505440,51778220,51828773,51831902,51860288,51881993,51892613,52040453,52197113,52228229,52300553,52331429,52689756,52952354,52983936,53048356,53097267,53099273,53105484,53120851,53192874,53286417,53419923,53507429,53664713,53692229,53718354,53787723,53810633,53876935,53891813,53943723,54066666,54069893,54122693,54158595,54210053,54212050,54287993,54290414,54385771,54441496,54467333,54509513,54855929,54903256,54939136,54990459,55000073,55010529,55071173,55188233,55267323,55330891,55439429,55491593,55572773,55623929,55710713,55731850,55859813,55881295,55881495,55903502,56049474,56160773,56266373,56273635,56297259,56363513,56438011,56490233,56513628,56552393,56607653,56674313,56714770,56745929,56763653,56781483,56804729,56816393,56936933,56978008,57004229,57070373,57156773,57183353,57353575,57358793,57483750,57508399,57529733,57656703,57659429,57668453,57713093,57769168,57791429,57880276,57904073,57928313,57943620,57964133,57976770,58113895,58133513,58151333,58212200,58213829,58223993,58237433,58342824,58343429,58349573,58432229,58446329,58465733,58479353,58534373,58551929,58587295,58595196,58627193,58696229,58702073,58715429,58742729,58747973,58756553,58806974,58868729,58896329,58897913,58900229,58916729,58922873,58936313,59008243,59502435,59550655,59606928,59608975,59850370,60232574,60288850,60835695,61065556,61092723,61130702,61246683,61316000,61337276,61505202,61766163,61798936,61806528,61841888,62021774,62133864,62148494,62160099,62266930,62401502,62447395,62725900,62742639,62997682,63031502,63324850,63407774,63469264,63492699,64100259,64222036,64652322,64891408,64899902,64990314,65054460,65054695,65146574,65382499,65476564,65488725,65635677,66157935,66300355,66432380,66492974,66496495,66878220,67057554,67057794,67274008,67285322,67528362,67581614,67820467,67971796,68057724,68181374,68182936,68300894,68539502,68724055,68824290,68980500,69031004,69133502,69391424,69403411,69523803,69532344,69572124,69736674,69854640,69900597,70304754,70405359,70568464,70811643,70903576,71336768,71402922,71460786,71473502,71530770,71582296,71819534,71820444,71987236,72346620,72422935,72712216,72888483,72918440,72963614,73002834,73412576,73454035,73579200,74129236,74291416,74511616,74541134,74595031,74720316,74936874,74980399,75271080,75646220,75650654,75683259,75760814,75886930,75989820,76299488,76705803,76919695,76967050,77001567,77169728,77361578,77611502,77826494,77933774,78065352,78065634,78223579,78223887,78344979,78465183,78484480,78586470,78680702,78772771,79044130,79180135,79231495,79389522,79548667,79560426,79572436,79718856,79766523,79795794,79866619,80253864,80289152,80470564,80530083,80625730,80775902,81021100,81023896,81055808,81310735,81495614,81664036,81801243,82033245,82106894,82393779,82468866,82589148,82776600,83019850,83032408,83093739,83360011,83577843,83612414,83618403,83825568,84146008,84297490,84299575,84311899,84679965,85035736,85198762,85216804,85593955,85761902,85780443,85793323,85836924,86526254,86564307,86815944,86907522,86913619,87004988,87274095,87502128,87624680,87823521,87841694,88144842,88235403,88295040,88304654,88363096,88483855,88764014,89018836,89037902,89309284,89436243,89507523,89556027,89611676,89639407,89683713,89761934,90006343,90285597,90325296,90757204,90775464,90830702,91045924,91064316,91064659,91151883,91187784,91325906,91334356,91676056,91878734,91965134,92137502,92303634,92360460,92777176,92821214,93092368,93123675,93403570,93411459,93889963,93917284,93999763,94181376,94303764,94316056,94490174,94664259,94682095,94756844,94817054,94852956,94903400,95016162,95077794,95252095,95342164,95484147,95626276,95665203,95704094,96022334,96044935,96201091,96290008,96352039,96750876,96759844,97085335,97148995,97195214,97225320,97321906,97572882,97578974,97658625,97667937,98301554,98439894,98517824,98577765,98614243,98615720,98798763,99147730,99331920,99408483,99443774,99568408,99623820,...,806457815784165868313058664270638032830226508896937228514685030733224855279071867722815533830273685469762111493009304105924952170484544427974573479250822578041687823242409355661729944879528152940536670802700740804622003971551150500924184148549774033294935579218004929538801524552320995605757720096151526280032743716333887578726032866195714007491485635004738805186705645750983089144448822806557428585100380845383688336208279050966710433164001558034017229865301422136640939462036534954324895010585153256993295422489236774750475490222790430085096159550512334115276681270046171289199023631590930755434699407835252902764334712130643420248867721633343672380346780089020767947923674998392112887370134489105917744295627049711994502502476193933859700331208513768672243961154712758328135734385305789035878053551641270132283650426802588437994618670478984214463643606004059624035694430187614310089666102135866065289362796539221123929128938485440324982459840053275446662206341278295185158088631373151288641719956419161652200792696327481631820101747866673966248244475968185234405967070034914499933234538505791120654613325147355531569036455073696917344944083155258154479874863783176618903604200244241064809135632523797245902385458065272073151430143866969520326708286240231797876521967218177943621691026327246638597176714253592997062753995872067006553427673111614453694994559782143804737924217963987590243465699804988403786123283887747835932922425558638687812482836509922922516627183004749755582178909105705608235586542035127046003988448184464122264028578638450420058499267546145239649612357108721510917294914855589675139399697573845966139342827082442689934366208894166430657703594931086801220478213274327558985647218046043322144689501565371274667423089707645589832910321367239675224000487537106671185598995445918781181634653369562676508576325875445072546698451660234518678808601311827120981218423311833283684076408487746596920569973246250120694562837564474682861755093376540536994345026804652693284906116148667922615719007557769783365786630858031004494710975154667539843634604011077866671952875552468024936106106231920240492026277287140271955954525116738730252852390159049121243108768648259310059900863994488055874927863179000071511723456578015116267022528981710220771654584343140688296194201397984388240343976740389380595341862438653687798114550719920091761297420687874474503463670946548445733077067995211670407284318042180152632174013290812671357018578489}
15355  1294586183974321680495780497531503253218020477847398615434798164: {122792,138141,1057701,1456445,1747734,1824389,2038757,2192333,2374445,2432541,2590601,2606270,2832905,2849334,2912510,3109757,3127524,3291005,3399486,3495012,3648302,3710102,3801981,3949206,4075221,4384094,4393109,4442510,4580381,4663145,4948037,5211860,5221733,5331012,5576105,5580484,5595774,5773001,6032045,6229949,6254232,6275870,6314357,6527549,6691326,6691781,7036011,7238454,7419236,7531044,7592669,7751414,7972120,8066789,8147901,8306345,8434157,8443757,8552141,8687253,8854382,8968635,9020510,9325070,9443896,9506357,9566544,9769694,9967614,10066742,10534121,10624383,10755197,10762362,10824612,10846670,11159512,11190084,11259149,11371053,11415509,11475245,11926505,11974766,12062510,12171981,12262613,12377405,12554451,12627062,12648075,13016004,13291684,13491280,13580510,13653077,13770294,13953989,14095133,14311806,14381060,14472854,14475012,14490281,14852886,14945775,15092702,15120821,15135172,15177690,15675101,15775599,15842249,15852557,15858052,15942160,15971645,16189536,16194806,16296612,16307870,16308734,16405097,16464461,17125517,17199381,17257272,17268053,17313545,17393669,17534189,17704995,17735606,17826974,17934930,17986053,18038660,18213228,18780475,18885328,18988120,19130592,19165974,19246142,19414431,19437437,19569444,19730872,19934270,20011433,20492837,20594253,20776254,20876105,21065486,21077375,21102557,21169781,21245994,21258149,21361635,21425213,21521916,21585161,21646392,21816374,22111972,22197231,22258589,22357349,22536570,22646510,22654360,22665261,22785744,23175209,23180853,23853302,23921124,24027269,24039008,24098606,24352191,24431822,24522014,24674884,24868312,25051326,25090253,25132409,25234581,25235573,25292850,25296905,25336580,25485509,25486155,25613368,25619861,25633962,26227949,26256261,26289235,26425275,26511141,26527094,26556269,26829250,26922773,26979040,27043884,27083992,27148709,27175812,27185232,27302582,27493805,27599396,27862934,27976851,28186574,28186960,28232381,28601069,28659652,28795341,28815039,28835054,28862333,29428841,29648237,29810981,30056781,30146510,30237686,30351420,30356286,30403896,30469491,30583386,30645662,31213924,31425545,31535117,31547082,31563381,31710330,31939070,32195100,32374848,32805902,32992566,33305775,33310397,33311253,33353789,33824352,33865502,34204383,34324670,34341440,34426580,34463405,34775261,34782782,34794389,35295861,35526160,35649284,35673833,35915237,36175812,36407870,36421704,36528734,36628696,36749006,36839992,37053245,37091813,37245326,37512021,37556050,37710654,37882766,38008841,38052396,38326884,38327500,38634120,38772605,38783870,38985029,39215093,39562997,39568792,39712757,39966930,40196901,40682253,40817732,40858670,40942360,40974417,41179574,41189604,41207283,41209728,41311896,41356086,41444991,41445494,41504333,41548829,41645102,41757496,41780942,41956229,42194045,42374181,42378206,42631392,42770357,42785967,42844814,42969795,42994397,43463385,43689444,43786757,43955044,44294853,44463894,44514891,44591320,44736926,44932613,45011541,45067260,45168905,45377752,45592445,45616313,45787589,45834448,45993000,46060155,46165912,46360944,46475883,46527126,46530773,46540644,46884893,46943054,46977183,46990781,47040566,47149941,47311433,47386461,47636309,47648270,47700356,47960316,47993909,48040349,48071744,48100937,48458644,48572021,48857252,49030404,49059200,49130832,49241933,49274153,49339275,49706270,49802654,49835894,49855757,49964452,50165235,50173934,50474789,50548022,50632854,50675061,50935675,51049971,51215237,51341102,51563754,51742125,51746501,51751733,51936651,52156062,52498580,52628560,52710281,53105582,53204164,53345966,53509584,53513272,53651500,53838494,54000494,54074069,54080712,54111652,54202686,54367131,54662333,54710934,54841053,55017833,55191600,55234505,55272186,55528581,55535606,55832054,55977917,56431262,56665277,56681993,56732510,56779982,56865929,57177924,57232997,57305405,57662564,58112835,58464254,58770916,58864757,58870552,58871040,59207130,59355470,59647524,59660069,59687060,59861486,59937470,60062421,60198282,60202431,60371102,60511053,60518009,60717496,60770333,60773775,60840801,61100510,61122810,61168767,61218797,61693046,61698773,61747406,61912982,61987024,62040629,62074461,62090550,62232749,62396654,62419672,62552510,62634509,62683972,62741253,62792920,62795776,62998296,63154272,63184701,63623189,63803635,64236004,64289541,64322654,64381800,64499189,64722775,64825360,64949853,65004989,65197664,65273549,65730557,65862195,65881166,66046053,66229371,66229920,66281406,66310445,66315614,66381855,66762052,67202021,67414262,67523512,67969646,68051870,68079012,68307183,68629070,68673920,68766486,69108413,69735402,69753999,69925661,70222131,70238102,70253008,70559294,70642035,70645248,70796356,70796942,70805181,70807312,70873083,70895909,70922249,70923832,70926437,71024813,71048556,71222510,71226564,71624472,71716964,71924964,72088888,72145526,72211460,72350345,72387269,72429525,72584681,72653357,72765250,72928530,73243995,73320612,73347372,73370174,73382213,73611389,73627757,73689764,73851941,74406269,74508660,74732632,74836949,75063012,75229934,75319781,75351504,75708644,75963951,76294821,76331945,76564362,76608533,76645000,76671595,76711053,76875604,76937342,77248670,77258160,77302360,77317709,77667330,77747853,77790432,77864477,78126928,78407375,78446789,79034634,79078709,79097966,79336580,79428531,79475904,79572534,79658226,79789311,80065502,80216549,80277545,80577531,80939981,81099999,81114260,81180029,81285581,81318075,81435621,81455822,81456964,81662244,81845705,82006936,82354884,82408704,82526549,82845152,82880132,82971341,83040475,83332502,83597775,83649413,83656852,83855253,84055694,84074211,84088766,84092510,84253757,84656932,84770442,84964745,85072155,85228670,85265213,85467012,85667102,86203096,86225625,86288755,86653752,86739280,86820414,86915430,86965155,86983877,87122357,87318300,87514236,87769961,87892794,88070249,88210461,88210580,88629470,88733102,89033549,89170960,89202014,89410072,89410392,89477870,89556701,89775555,89788349,89984045,90037816,90348861,90433275,90528773,90631637,90689021,90743632,90826351,90890270,91148050,91518206,91589174,91598334,91696053,91765720,91974000,92005914,92064749,92090741,92257803,92327861,92661545,92698404,92709792,92762832,92864270,92982232,93032661,93107102,93139520,93200796,93222741,93400395,93561086,93602253,93604073,93642542,93726149,93739672,93766757,93837614,93873812,93875213,94088850,94415524,94436702,94496523,94521749,94547253,94557775,94793933,94898909,94987275,95111661,95203896,95281048,95317214,95374360,95464229,95746286,95760592,96286541,96333054,96462160,96978483,97184644,97278902,97337112,97349853,97485471,97581690,97667597,97719861,98105600,98214846,98398949,98440373,98679374,98708921,99125549,99331133,99465545,99620501,99627088,99648570,99668414,99698102,99739461,99915832,...,1075277087712221157750744885694184043773635345195916304686246707644299807038762490297087378440364913959682815324012405474566602893979392570632764639001096770722250430989879140882306593172704203920715561070267654406162671962068200667898912198066365377726580772290673239385068699403094660807676960128202035040043658288445183438301377154927618676655314180006318406915607527667977452192598430408743238113467174460511584448277705401288947244218668744045356306487068562848854585949382046605766526680780204342657727229985649033000633986963720573446794879400683112153702241693394895052265364842121241007246265877113670537019112949507524560331823628844458229840462373452027690597231566664522817183160179318807890325727502732949326003336634925245146267108278018358229658614872950344437514312513741052047837404735521693509711533902403451250659491560638645619284858141338746165380925906916819080119554802847821420385817062052294831905505251313920433309946453404367262216275121704393580210784841830868384855626608558882202934390261769975509093468997155565288330992634624246979207956093379885999910979384674388160872817766863140708758715273431595889793258777540344205973166485044235491871472266992321419745514176698396327869847277420362764201906858489292693768944381653642397168695956290903924828921368436328851462902285671457329417005327829422675404570230815485938259992746376191739650565623951983453657954266406651205048164378516997114577229900744851583749977115346563896688836244006333007442905212140940810980782056046836061338651264245952163018704771517933893411332356728193652866149809478295347889726553140786233519199596765127954852457102776590253245821611858888574210271459908115734960637617699103411980862957394724429526252668753828366223230786276860786443880428489652900298667316716142228247465327261225041575512871159416902011435101167260096728931268880312691571744801749102827974957897749111044912101877983662129227426630995000160926083783419299577149006791168720715992460035739536924379874821531557230154292010077026377821048841144041339326281300206223386458179472014770488895937167403290699914808141642560320656035036382853695941272700155651640337136520212065494990811691531012413413201151992650741166570484238666762015631275437353488356030038642280294362206112457520917728258935197312517653791968987185840793789149918204917064152734293226789015063227583832632671284894595397927644102757326948893876379090722906870176232017721083561809358104652}
15356  1300376555382860613742124567178546539625823814328385158706352377: {107443,153490,184188,566803,658459,705226,1024363,1206883,1255666,1410268,1438858,1480123,2048458,2115163,2330312,2386243,2476459,2534986,2621601,3243388,3444466,3799112,3867658,3909405,4169458,4170032,4265659,4274001,4368765,4532648,4660016,4691286,5069308,5072458,5099229,5242518,5265608,5433628,5472453,5492626,5565153,5588659,5852146,5923809,6113323,6461659,6514825,6576141,6663765,6748426,6975605,7046386,7108016,7241203,7461032,7817790,7937866,7996518,8174986,8263409,8338976,8352658,8370726,8393661,8471026,8527483,8825746,8921768,9122203,9274045,9381348,9413805,9460459,9651272,9764573,9881659,9965150,10036989,10041392,10121458,10635283,10857681,10863868,11128854,11296566,11583004,11627121,11804870,11875858,11958180,11960659,12371059,12698083,12755392,12863626,13105243,13267603,13281573,13290152,13510603,13530765,13615858,13789066,13904458,13914163,13949390,13987605,14165844,14349816,14432816,14476123,14480458,14654541,14795659,14920112,14940106,14951421,15100113,15161404,15193459,15513226,16027666,16143543,16229308,16236918,16270005,16483858,16524662,16614605,16739268,16785126,16864100,16882186,17155459,17264513,17336458,17354672,17619643,17733106,17902858,17962149,17976325,18072466,18093765,18185458,18360392,18580426,18616483,18862066,18918965,18940593,19082408,19300016,19524006,19803848,19822565,19826659,19927700,19937526,20201059,20236920,20370765,20543506,20573659,20655441,21034132,21267658,21387043,21434386,21467709,21571590,21586048,21607363,21709281,21712518,21728816,21759773,21973123,22210546,22279329,22337083,22411697,22548325,22639053,22702758,22766535,22771459,22843603,22932508,23009696,23203858,23489659,23588746,23606660,23698493,23735150,23787078,23863186,23913240,23917123,23981404,24271363,24284304,24292209,24444918,24461805,24463101,24663590,25323283,25507456,25554632,25885908,26092592,26206858,26603409,26740461,26902395,26904763,27040483,27057990,27286858,27319842,27448306,27459004,27639965,27701672,27714763,27824458,28249003,28317950,28327992,28478021,28482180,28695888,28712683,28748961,28861856,28869213,29054866,29354166,29534026,29587186,29596308,29901405,29953459,30048760,30064906,30220348,30329746,30380992,30532123,30843605,30851083,30907804,30914659,30978163,31085390,31164381,31437706,31483603,31598229,31670725,31797163,31868991,31894832,32016710,32050109,32171059,32234993,32282874,32469588,32724561,32727043,33094459,33167958,33337963,33401768,33476626,33646108,33723800,33761323,33804855,33854990,33969765,33981540,33995506,34178616,34360003,34499245,34622693,34833763,35008348,35186059,35233700,35348188,35779953,35824565,35881686,36058512,36106186,36147909,36234416,36246976,36463858,36537809,36616906,36647733,36783021,37012326,37075186,37302468,37576989,37690363,37800883,37939275,38004870,38393788,38420052,38450943,39017405,39424123,39647626,39705533,39790641,39846043,39897586,39898459,39950803,40075708,40105142,40243875,40246858,40346506,40395173,40396306,40468560,40475048,40538528,40565826,40625988,40763718,40777848,40843786,40931659,40953873,41091826,41236003,41399094,41605421,41637763,41737483,41794401,42062776,42084508,42129226,42279861,42280440,42427459,42622003,42926800,42989478,43033225,43166464,43252581,43435963,43671403,43939858,43990088,43994249,44321059,44407700,44415004,44561605,44595163,44821603,45099136,45219765,45356529,45391858,45446059,45527130,45534429,45536266,45605844,45621883,45632458,45785870,45840043,45875079,45968493,46049990,46142443,46568323,46820886,46824113,46924786,47061148,47152459,47320623,47357659,47400466,47520523,47565495,47908605,47909375,47962459,48193574,48234416,48252658,48292650,48488458,48512323,48562272,48817906,48972403,49208853,49273363,49460990,49488849,49496059,49521226,50016028,50255083,50280872,50360458,50431123,50592658,50605363,50736528,50798253,51022165,51102512,51177950,51251059,51425266,51487005,51511733,51512160,51547843,51639870,51710203,51774643,51885586,51902659,52174173,52196870,52372459,52706683,52796323,52801426,53120458,53127809,53289240,53473926,53518123,53595868,53794243,53801458,53983243,54027658,54238646,54243004,54263718,54324883,54503803,54611805,54617213,54632556,54728659,54793101,54838666,54875323,54919472,54943044,54943805,54946304,55082528,55123509,55141448,55184203,55207459,55259988,55376458,55739150,55867989,55871659,55956466,55976059,56159443,56258803,56334075,56375659,56394883,56489458,56498908,56565981,56722190,56764243,56824149,56841856,56852083,56903923,57047956,57078594,57169459,57293060,57386683,57490003,57490326,57491250,57686059,57707390,57739483,57830203,57868003,57943306,57951180,57953683,58012723,58030858,58058659,58168459,58175805,58230883,58252592,58446163,58527883,58543363,58580803,58700683,58806523,58870459,58911283,58915963,58946059,58950163,58951603,58989706,59059804,59083073,59285192,59353188,59498309,59625445,59950395,60015388,60089680,60284746,60573305,60784097,61054858,61071565,61140106,61226598,61288005,61324000,61413540,61471382,61565386,61769361,61777426,61784406,61814592,61956398,61967844,62034129,62036168,62054192,62058353,62168241,62455565,62467653,62636244,62671413,62866588,62957458,63077777,63166858,63181948,63567309,63947088,64267221,64274093,64910026,65373872,65391053,65507776,65534166,65623225,65785700,65932566,66137866,66505205,66695841,66886980,66891590,66988786,67064375,67105389,67471858,67510472,67566748,67600890,67639565,67992586,68066628,68361062,68470858,68590066,68751672,68989500,69144466,69248868,69381106,69541416,69790689,69810966,69852658,70321906,70409174,70414581,70560849,71021458,71137546,71292106,71346112,71407858,71472405,71550534,71756069,71940474,72078205,72107616,72175858,72270248,72290506,72489508,72557458,72687966,72947912,73121404,73240306,73285878,73429066,73463645,73545606,73588190,73588800,73696248,74038108,74329546,74451806,74559405,74608825,74703981,74753841,74946678,75260901,75427709,75822033,75896870,75949281,76237232,77011653,77345631,77483780,77624266,78024590,78233813,78234093,78354965,78491150,78494720,78729106,78747870,78783089,78799858,78942840,79400678,79530032,79658373,79783666,79806246,80018949,80083228,80151461,80264376,80269908,80295005,80305546,80374858,80477250,80681404,80757741,80823826,81000741,81031700,81121068,81167478,81304029,81359453,81497080,81509266,81558356,82022213,82066401,82255858,82424458,82765948,82787400,82827466,82908279,82966477,83303409,83370917,83427658,83452565,83527186,83655004,83659666,83748081,83758858,83790518,83997728,84154186,84205696,84246268,84404390,84646893,85002826,85098765,85169973,85229458,85719388,85766886,85808626,85842400,85872658,86191858,86493846,86599804,86762386,86937169,87173702,87202546,87296458,87426353,87696381,87816260,87856906,88061404,88156374,88305828,88306560,88375208,88495445,88509140,88596106,88654790,88779466,88810695,89024881,89033205,89446858,89471286,89507146,89530590,89597458,89646205,89792229,89807626,89906205,89987146,90111110,90264325,90297423,90556653,90772016,90846706,90876106,91076244,91076573,91650765,91684215,91688648,92112205,92182546,92439946,92539569,92621109,92820497,92869473,92980536,93005332,93091858,93095093,93135825,93372658,93415790,93594981,93629508,93828765,94012061,94025958,94189380,94193664,94260466,94406908,94497444,94534546,94635805,94670986,94731408,94834186,94968752,95023858,95427658,95499296,95806250,95899952,96094505,96213677,96354006,96355858,96483981,96572700,96627950,97058506,97213066,97238040,97596946,97658660,97760816,97774858,97796496,97901458,97977226,98726986,98821749,99170725,99194386,99344880,99422109,99462346,99473421,99704266,...,1612915631568331736626117328541276065660453017793874457029370061466449710558143735445631067660547370939524222986018608211849904340969088855949146958501645156083375646484818711323459889759056305881073341605401481609244007943102301001848368297099548066589871158436009859077603049104641991211515440192303052560065487432667775157452065732391428014982971270009477610373411291501966178288897645613114857170200761690767376672416558101933420866328003116068034459730602844273281878924073069908649790021170306513986590844978473549500950980445580860170192319101024668230553362540092342578398047263181861510869398815670505805528669424261286840497735443266687344760693560178041535895847349996784225774740268978211835488591254099423989005004952387867719400662417027537344487922309425516656271468770611578071756107103282540264567300853605176875989237340957968428927287212008119248071388860375228620179332204271732130578725593078442247858257876970880649964919680106550893324412682556590370316177262746302577283439912838323304401585392654963263640203495733347932496488951936370468811934140069828999866469077011582241309226650294711063138072910147393834689888166310516308959749727566353237807208400488482129618271265047594491804770916130544146302860287733939040653416572480463595753043934436355887243382052654493277194353428507185994125507991744134013106855346223228907389989119564287609475848435927975180486931399609976807572246567775495671865844851117277375624965673019845845033254366009499511164357818211411216471173084070254092007976896368928244528057157276900840116998535092290479299224714217443021834589829711179350278799395147691932278685654164885379868732417788332861315407189862173602440956426548655117971294436092086644289379003130742549334846179415291179665820642734479350448000975074213342371197990891837562363269306739125353017152651750890145093396903320469037357617202623654241962436846623666567368152816975493193841139946492500241389125675128949365723510186753081073988690053609305386569812232297335845231438015115539566731573261716062008989421950309335079687269208022155733343905751104936049872212212463840480984052554574280543911909050233477460505704780318098242486217537296518620119801727988976111749855726358000143023446913156030232534045057963420441543309168686281376592388402795968776480687953480778761190683724877307375596229101439840183522594841375748949006927341893096891466154135990423340814568636084360305264348026581625342714037156978}
15357  1306192619914457131171579025538257173196473155691144089103045829: {230235,245584,276282,1057839,1762835,1883499,2039023,2115402,2158287,2590939,2866523,2912890,3072687,3324223,3495468,3648778,3802479,3966067,4054235,4077514,4384666,4607407,4748890,4865082,5166699,5181202,5212540,5530159,5665810,5698668,5801487,5825020,6171139,6219514,6254187,6255048,6336635,6528403,6582010,6792035,6798972,6990024,7036929,7296604,7362667,7420204,7603962,7608687,7806547,7863777,7898412,7909583,8150442,8238939,8444863,8768188,8778219,8786218,8885020,9015823,9160762,9326290,9896074,9921263,10122639,10423720,10443466,10569579,10662024,10663403,11152210,11160968,11191548,11546002,11628883,11726685,11906799,11994777,12064090,12262479,12459898,12508464,12528987,12551740,12556089,12628714,12706539,12866459,13055098,13238619,13306267,13382652,13383562,13579835,13773587,13935119,14072022,14476908,14478755,14492179,14838472,14947725,15062088,15182187,15185338,15502828,15944240,16065343,16133578,16295802,16525247,16612690,16693281,16697107,16868314,16887514,16944849,17104282,17328367,17374506,17536483,17706043,17707305,17708764,17813787,17937270,18041020,18176243,18429683,18650140,18887792,18934619,18951755,19012714,19133088,19295439,19439983,19539388,19935228,20133484,20286635,20407699,20423787,20683599,20856687,20924085,21068242,21080125,21248766,21510394,21524724,21649224,21693340,21720687,22319024,22360303,22380168,22410159,22518298,22742106,22831018,22903759,22950490,23269839,23853010,23949532,24041499,24125020,24238963,24305707,24343962,24355377,24525226,24725787,24754810,24786993,24909625,24924479,25108902,25123267,25177689,25254124,25296150,25323279,26004687,26032008,26125259,26292665,26583368,26599659,26854287,26982560,27108699,27161020,27278187,27306154,27540588,27708827,27870639,27907978,28089163,28190266,28236079,28293099,28623612,28665635,28762120,28874219,28945708,28950024,28980562,29226547,29251067,29286009,29423363,29508325,29705772,29823859,29891550,29906289,29976755,30185404,30241642,30270344,30355380,30815259,30996667,31350202,31551198,31684498,31692943,31705114,31716104,31884320,31901487,31943290,32151579,32357385,32379072,32389612,32568777,32593224,32615740,32617468,32810194,32827883,32928922,33166499,33315819,33715967,34054137,34251034,34323755,34398762,34439563,34514544,34536106,34627090,34787338,34805787,35068378,35383119,35386259,35409990,35415667,35471212,35602725,35653948,35680617,35794779,35869860,35972106,36077320,36426456,36667377,36804929,36995385,37473647,37560950,37770656,37775435,37976240,38261184,38331948,38491327,38492284,38634755,38828862,38874874,39138888,39310287,39461744,39716303,39868540,40022866,40140559,40586985,40930287,40979763,40985674,41172459,41188506,41552508,41736687,41752210,42057635,42130972,42154750,42205114,42339562,42476925,42491988,42516298,42723270,42850426,43043832,43076147,43170322,43292784,43571503,43582299,43632748,43635119,43760435,43835779,43995763,44031249,44042125,44185235,44223944,44301039,44380779,44394462,44517178,44549443,44599883,44612843,44714698,45073140,45097359,45293020,45308720,45330522,45494619,45571488,46134923,46350418,46361706,46628085,47156559,47706604,47841499,47842248,47992235,48025065,48054538,48078016,48197212,48248767,48424311,48515819,48704382,48863644,49044028,49188803,49349768,49736624,49751937,50094635,50102652,50180506,50214939,50264818,50469162,50471146,50585700,50593810,50673160,50782485,50971018,50972310,50993259,51226736,51239722,51267924,51418243,51837899,51874543,52455898,52512522,52578470,52605635,52850550,53022282,53054188,53102179,53112538,53658500,53822529,53845546,53958080,54087768,54159279,54167984,54281647,54297418,54351624,54370464,54605164,54695787,54925359,54987610,55198792,55409419,55509625,55518489,55518755,55563323,55612779,55725868,55953702,56373148,56373920,56464762,57007305,57202138,57240559,57319304,57321779,57590682,57630078,57670108,57724666,57991987,58826435,58857682,59071663,59296474,59400527,59471439,59621962,59838463,59838827,59846379,60113562,60157713,60293020,60325619,60370287,60475372,60519759,60594459,60702840,60712572,60807792,60848739,60938982,61145577,61161139,61166772,61265679,61291324,61355363,61637739,62098641,62427848,62520035,62851090,63070234,63094164,63126762,63193839,63236467,63420660,63470107,63785903,63829423,63878140,64001003,64390200,64484217,64600939,64749696,65440783,65611804,65897627,65909787,65985132,66611550,66620794,66622506,66707578,66994835,67409267,67648704,67731004,67803755,68087787,68290695,68304399,68408766,68448687,68585747,68649340,68678805,68682880,68853160,68926810,69074985,69550522,69565564,69588778,70231329,70387179,70591722,70623635,71052320,71100699,71298568,71309945,71347666,71391907,71616325,71830474,72290361,72351624,72378987,72438975,72732687,72815740,72843408,73057468,73226859,73257392,73330723,73424723,73498012,73576283,73679984,73824755,74106490,74183626,74191485,74281839,74426347,74490652,75019235,75024042,75112100,75421308,75540687,75765532,75888987,76017682,76104792,76433423,76653768,76655000,76766925,77137899,77141467,77268240,77328307,77459805,77545210,77567740,77828379,77970058,78295305,78334223,78430186,78583235,78638459,78873647,78977435,79125994,79137584,79202139,79266043,79425514,79680687,79933860,80210889,80227567,80393802,80702187,80926259,81041487,81357969,81364506,81395577,81635464,81673579,81717340,81884720,81948834,82126319,82232125,82257999,82359148,82379208,82414566,82419456,82623792,82712172,82889982,82890988,82936207,83008666,83064687,83097658,83290204,83514992,83561884,83608725,83843843,83912458,83934699,84388090,84458435,84734187,84748362,84756412,85083285,85262784,85540714,85571934,85617891,85689628,85939590,85988794,86235489,86236875,86443403,86561085,86914959,86926770,87046287,87074159,87378888,87573514,87675823,87910088,88443667,88484559,88589706,88927788,89029782,89120147,89182640,89325089,89473852,89865226,89932483,90023082,90134520,90337810,90427119,90611885,90755504,91184890,91232626,91401755,91551119,91575178,91582287,91668896,91710159,91839897,91986000,92120310,92207073,92331824,92348079,92547635,92666139,92676609,92721888,92834623,92934597,92951766,93054252,93061546,93081288,93769786,93886108,93954366,93981562,94081132,94299882,94436187,94622866,94750287,94772922,94856959,95272618,95296540,95298863,95400712,95457619,95920632,95987818,96080698,96143488,96201874,96233819,96854725,96917288,97144042,97167983,97287539,97365039,97385027,97698947,97714504,98060808,98118400,98261664,98301249,98483866,98548306,98678550,98739307,98870963,98898849,99206799,99409883,99412540,99605308,99671788,99711514,99928904,...,2419373447352497604939175992811914098490679526690811685544055092199674565837215603168446601490821056409286334479027912317774856511453633283923720437752467734125063469727228066985189834638584458821610012408102222413866011914653451502772552445649322099884806737654014788616404573656962986817273160288454578840098231149001662736178098598587142022474456905014216415560116937252949267433346468419672285755301142536151065008624837152900131299492004674102051689595904266409922818386109604862974685031755459770979886267467710324251426470668371290255288478651537002345830043810138513867597070894772792266304098223505758708293004136391930260746603164900031017141040340267062303843771024995176338662110403467317753232886881149135983507507428581801579100993625541306016731883464138274984407203155917367107634160654923810396850951280407765313983856011436952643390930818012178872107083290562842930268998306407598195868088389617663371787386815456320974947379520159826339986619023834885555474265894119453865925159869257484956602378088982444895460305243600021898744733427904555703217901210104743499799703615517373361963839975442066594707109365221090752034832249465774463439624591349529856710812600732723194427406897571391737707156374195816219454290431600908560980124858720695393629565901654533830865073078981739915791530142760778991188261987616201019660283019334843361084983679346431414213772653891962770730397099414965211358369851663243507798767276675916063437448509529768767549881549014249266746536727317116824706759626105381138011965344553392366792085735915351260175497802638435718948837071326164532751884744566769025418199092721537898418028481247328069803098626682499291973110784793260403661434639822982676956941654138129966434068504696113824002269269122936769498730964101719025672001462611320013556796986337756343544903960108688029525728977626335217640095354980703556036425803935481362943655269935499851052229225463239790761709919738750362083688512693424048585265280129621610983035080413958079854718348446003767847157022673309350097359892574093013484132925464002619530903812033233600015858626657404074808318318695760721476078831861420815867863575350216190758557170477147363729326305944777930179702591983464167624783589537000214535170369734045348801067586945130662314963753029422064888582604193953164721031930221168141786025587315961063394343652159760275283892262063623423510391012839645337199231203985635011221852954126540457896522039872438014071055735467}
15358  1312034490668061668374163847285576093290918956052459114402114463: {214886,306980,368376,414423,444541,902641,1085377,1133606,1316918,1358941,1410452,1994737,2048726,2413766,2511332,2820536,2877716,2960246,2986717,3173103,3434737,3791857,3880957,4096916,4230326,4236637,4369335,4660624,4772486,4952918,5069972,5243202,5473167,5822941,5997757,6116271,6259441,6486776,6515675,6576999,6867517,6888932,6954097,7123335,7127041,7281275,7297623,7299697,7598224,7735316,7771803,7818810,8338916,8340064,8498715,8531318,8548002,8670577,8737530,8840641,9065296,9095197,9120755,9275255,9320032,9329271,9382572,9433597,9686641,9765847,9873015,10138616,10144916,10198458,10274557,10485036,10525441,10531216,10867256,10944906,10960235,10985252,11106275,11130306,11177318,11405943,11605117,11704292,11770141,11847618,11934877,12181441,12225663,12226646,12923318,12983663,13029650,13152282,13161217,13179327,13327530,13496852,13647217,13741143,13951210,13969777,13989435,14092772,14216032,14482406,14771137,14844111,14922064,15635580,15665199,15689675,15802141,15875732,15993036,16349972,16352257,16526818,16677952,16705316,16728315,16741452,16743037,16787322,16942052,17054966,17319003,17651492,17843536,17981437,18096135,18244406,18288157,18364657,18548090,18689847,18762696,18827610,18920918,18943071,19049917,19302544,19378535,19529146,19582647,19763318,19879537,19930300,20073978,20075343,20082784,20179057,20242916,20551837,20774641,21108033,21270566,21512641,21715362,21727736,22024957,22097857,22135955,22257708,22461277,22551275,22593132,22778007,22822897,23166008,23254242,23260447,23312675,23326141,23609740,23751716,23916360,23921318,24200367,24424235,24443703,24742118,24919035,25166855,25234177,25302471,25331271,25396166,25442941,25510784,25581757,25651057,25656423,25727252,26061759,26210486,26486551,26535206,26563146,26580304,26905905,27021206,27021937,27061530,27116675,27231716,27578132,27751591,27808916,27828326,27830641,27898780,27975210,28164541,28297597,28331688,28519071,28699632,28865632,28952246,28960916,29024257,29309082,29351677,29591318,29840224,29880212,29902842,29936915,30130141,30156275,30200226,30322808,30386918,30579457,30643357,31026452,31088641,31278397,31511183,31530397,31567655,31593217,31602363,31718641,31873149,32055332,32265591,32287086,32458616,32473836,32540010,32650141,32967716,33049324,33229210,33478536,33570252,33655843,33728200,33764372,33777447,33951275,34046977,34113159,34166641,34246527,34286017,34310918,34425735,34529026,34672916,34709344,35054941,35239286,35347441,35466212,35753917,35779515,35805716,35924298,35927041,35952650,36144932,36182135,36187530,36370916,36515943,36669757,36720784,36787839,37132215,37160852,37176817,37232966,37663353,37724132,37731755,37837930,37881186,37898941,37944225,38164816,38173441,38600032,38695951,38986141,39048012,39359857,39412957,39607696,39645130,39653318,39855400,39875052,40200817,40402118,40408177,40473840,40487015,40562941,40741530,40769675,40771835,40959231,41074141,41087012,41147318,41175517,41310882,41427697,41727937,41861967,41976157,42068264,42173437,42285399,42535316,42616079,42774086,42806641,42868772,42935418,42951037,43142557,43143180,43172096,43181047,43214726,43418562,43425036,43457632,43470843,43519546,43616317,43757041,43946246,44339015,44421092,44558658,44567435,44674166,44769217,44823394,44837325,45039217,45096650,45278106,45350941,45362463,45405516,45483457,45533070,45542918,45687206,45865016,46007041,46019392,46407716,46979318,47025303,47147197,47177492,47213320,47326797,47352577,47396986,47470300,47474941,47526747,47557671,47574156,47726372,47826480,47834246,47914935,47962808,48115355,48274141,48298943,48352477,48542726,48568608,48584418,48680027,48889836,48923610,48926202,49170043,49215291,49327180,49393383,49786141,49835675,50038897,50154391,50393857,50646566,50672641,51014912,51082177,51109264,51376551,51415537,51598143,51612097,51771816,51804159,51902077,51940635,52181007,52185184,52248577,52310641,52413716,52556017,52602567,52663715,52766941,53114985,53206818,53207041,53293117,53480922,53547457,53712263,53804790,53809526,53850397,53958159,54080966,54091777,54115980,54223357,54249457,54301441,54540935,54573716,54607297,54624367,54639684,54805441,54896612,54918008,54926941,55279930,55403344,55429526,55462657,55648916,55661917,55683697,55727041,55791517,55897537,55939441,56083837,56104177,56303617,56341425,56476957,56498006,56570737,56616275,56635900,56655984,56770717,56841277,56956042,56964360,57062641,57111997,57144541,57224641,57302941,57391776,57425366,57497922,57555697,57626077,57694657,57723712,57738426,57926641,57986941,58109732,58124317,58243293,58291357,58312311,58377217,58465777,58655677,58662337,58708332,58724977,58748017,58780417,58858141,58915057,58917757,58927837,58940797,58944541,58947997,59068052,59174372,59192616,59633255,59802810,59906918,60034299,60097520,60129812,60246515,60440696,60659492,60761984,61064246,61079555,61305035,61478511,61687210,61702166,61782759,61815608,61829318,61956326,62170780,62328762,62386247,62628315,62875412,62967206,63196458,63232125,63307671,63341450,63509343,63594326,63737982,63774447,63789664,64033420,64084905,64100218,64275639,64342118,64469986,64565748,64755483,64939176,65449122,65454086,65835407,66188918,66317735,66335916,66591693,66675926,66775767,66803536,66953252,67072047,67073125,67292216,67447600,67522646,67609710,67709980,67939530,67963080,67991012,67995783,68256455,68357232,68493623,68720006,68998490,69245386,69525627,69542559,69657335,69667526,70016696,70372118,70466435,70467400,70696376,71431031,71559906,71649130,71763372,71835751,72081807,72087635,72117024,72212372,72295818,72468832,72493952,72927716,73056573,73075618,73233812,73295466,73566042,74024652,74150372,74604936,75153978,75203291,75270759,75366275,75380726,75397227,75594215,75601766,75703743,75706719,75878550,75890715,76009740,76456527,76458465,76614155,76787576,76840104,76859583,76901886,76921327,78034810,78683847,78768783,78848246,78867705,79275825,79295252,79411066,79533423,79581282,79668807,79692086,79795172,79796918,79847675,79901606,80151416,80210284,80487750,80493716,80693012,80768319,80790346,80792612,80937120,80950096,81077056,81131652,81251976,81446127,81527436,81555696,81687572,81863318,81907746,82014755,82183652,82472006,82481415,82798188,83210842,83275526,83474966,83475623,83588802,83930553,84125552,84169016,84258452,84559722,84560880,84663755,84697143,84802627,84854918,85244006,85500191,85803207,85811675,85853600,85978956,86066450,86332928,86386023,86445117,86505162,86586999,86871926,86948543,86956955,87342806,87437791,87879716,87980176,87988498,88286523,88642118,88688303,88815400,88830008,88944711,89123210,89190326,89432943,89643206,90170343,90198272,90439530,90713058,90783716,90892118,91019675,91054260,91068858,91072532,91211688,91243766,91264916,91321835,91408473,91571740,91680086,91750158,91872515,91936986,92099980,92284886,92727239,93107287,93113315,93136646,93641772,93648226,93849572,93890125,94122296,94276635,94304918,94605351,94641246,94690143,94695391,94706915,94715318,94800932,95041046,95130990,95817210,95818750,95924918,96387148,96468832,96505316,96585300,96959675,96976916,97024646,97124544,97635812,97944806,98051291,98417706,98546726,98921980,98977698,98992118,99042452,99917325,99931191,99933759,...,3225831263136663473252234657082552131320906035587748914058740122932899421116287470891262135321094741879048445972037216423699808681938177711898293917003290312166751292969637422646919779518112611762146683210802963218488015886204602003696736594199096133179742316872019718155206098209283982423030880384606105120130974865335550314904131464782856029965942540018955220746822583003932356577795291226229714340401523381534753344833116203866841732656006232136068919461205688546563757848146139817299580042340613027973181689956947099001901960891161720340384638202049336461106725080184685156796094526363723021738797631341011611057338848522573680995470886533374689521387120356083071791694699993568451549480537956423670977182508198847978010009904775735438801324834055074688975844618851033312542937541223156143512214206565080529134601707210353751978474681915936857854574424016238496142777720750457240358664408543464261157451186156884495716515753941761299929839360213101786648825365113180740632354525492605154566879825676646608803170785309926527280406991466695864992977903872740937623868280139657999732938154023164482618453300589422126276145820294787669379776332621032617919499455132706475614416800976964259236542530095188983609541832261088292605720575467878081306833144960927191506087868872711774486764105308986554388706857014371988251015983488268026213710692446457814779978239128575218951696871855950360973862799219953615144493135550991343731689702234554751249931346039691690066508732018999022328715636422822432942346168140508184015953792737856489056114314553801680233997070184580958598449428434886043669179659422358700557598790295383864557371308329770759737464835576665722630814379724347204881912853097310235942588872184173288578758006261485098669692358830582359331641285468958700896001950148426684742395981783675124726538613478250706034305303501780290186793806640938074715234405247308483924873693247333134736305633950986387682279892985000482778251350257898731447020373506162147977380107218610773139624464594671690462876030231079133463146523432124017978843900618670159374538416044311466687811502209872099744424424927680961968105109148561087823818100466954921011409560636196484972435074593037240239603455977952223499711452716000286046893826312060465068090115926840883086618337372562753184776805591937552961375906961557522381367449754614751192458202879680367045189682751497898013854683786193782932308271980846681629137272168720610528696053163250685428074313956}
15359  1317902281236511912403753639778654996904419900525712329053464285: {15359,322329,383725,460470,491168,552564,1700409,1763065,1975377,2115678,2467969,2866897,3073089,3139165,3203761,3387709,3525670,3597145,3620649,3766998,4078046,4230804,4316574,4440369,4886761,5121145,5181878,5675929,5733046,5825780,5989729,6145374,6337465,6345489,6648446,6903457,6990936,7158729,7297556,7429377,7549309,7604958,7864803,7932134,8100577,8108470,8155028,8611165,8769332,8871289,9214814,9347689,9497780,9508849,9669145,9730164,9922561,10209769,10257577,10333398,10362404,10423645,10425080,11060318,11183569,11331620,11397336,11602974,11650040,11725129,11728215,11917921,11931337,12342278,12439028,12508374,12510096,12673270,12681145,12796977,12822003,13019449,13056806,13106295,13164020,13268761,13584070,13597944,13731565,13753801,13775389,13980048,14073858,14593208,14630365,14725334,14840408,14938561,15207924,15217374,15297687,15394009,15613094,15727554,15796824,15819166,16300884,16417359,16468777,16477878,16527409,16695459,16765977,16871065,16889726,17536376,17556438,17572436,17615965,17770040,17771427,17938657,18031646,18178621,18321524,18339969,18432097,18652580,18948829,19011769,19062889,19384977,19429777,19544475,19728423,19792148,19842526,19844665,19991295,20245278,20270257,20437465,20498209,20597881,20730889,20847440,20881645,20886932,20926815,21139158,21177565,21324048,21326806,21530449,21723609,21927697,22064365,22304420,22321936,22377277,22383096,23092004,23257766,23453370,23480749,23529529,23813598,23989554,24128180,24524958,24790227,24911161,24912875,24919796,25016928,25057974,25103480,25112178,25180983,25257428,25303645,25413078,25582449,25626577,25680637,25732918,26110196,26128681,26168797,26477238,26532457,26612534,26765304,26767124,27010861,27159670,27366609,27547174,27822135,27870238,27927001,28144044,28226749,28241415,28381377,28401289,28953816,28957510,28984358,29293719,29427217,29512175,29644977,29656009,29676944,29689645,29895450,29942509,30110967,30124176,30364374,30370676,30858649,30968689,31005656,31418281,31888480,31905849,32130686,32159065,32267156,32573043,32591604,32692369,33050494,33161161,33225380,33319129,33386562,33394214,33736628,33775028,33889698,34039645,34124077,34208564,34472665,34656734,34749012,34761145,34784377,34873475,34881363,35072966,35132977,35412086,35414610,35417528,35627574,35874540,35881977,36082040,36086977,36201145,36352486,36809731,36859366,36911521,37113177,37300280,37350265,37757137,37775584,37869238,37903510,38010169,38025428,38094249,38174089,38266176,38483869,38590878,38783065,38796589,38879966,39078776,39315729,39337021,39802809,39844719,39870456,40048657,40069165,40131889,40266968,40531809,40573270,40592295,40815398,40847574,41209645,41311655,41367198,41713374,41742489,41848170,41962815,41967457,42136484,42160250,42205465,42497532,42662257,42850429,43020788,43049448,43298448,43341145,43386680,43428369,43441374,43963623,44332765,44386977,44638048,44720606,44757145,44760336,44820318,44854263,44944537,45036596,45181165,45300339,45463645,45483049,45484212,45580377,45662036,45807518,45900980,46451065,46539678,46650397,46937449,47155165,47675737,47706020,47892049,47899064,48053257,48082998,48143929,48250040,48430629,48477926,48611414,48687924,48710754,48810015,49050452,49451574,49509620,49573986,49703869,49819250,49843815,49848958,49866109,50162269,50217804,50246534,50355378,50508248,50592300,50646558,50859217,51358765,51466377,51562561,51568777,51793539,52009374,52045849,52064016,52250518,52413097,52585330,52724269,52858929,52885609,53053921,53166736,53169145,53199318,53585965,53708574,53886447,53928975,53965120,54088657,54217398,54274897,54281295,54322040,54366577,54556374,54612308,54676897,54975721,55081176,55417654,55526365,55741278,55815956,55849449,56178326,56380532,56472158,56560129,56586198,56756895,56821779,56883577,57247224,57331270,57336877,57524240,57741001,57748438,57891416,57900048,57961124,58009645,58273729,58453094,58502134,58572018,58846726,58880689,58936477,58971865,59016650,59337875,59411544,59467695,59479977,59647718,59657965,59783100,59812578,59953510,60216049,60361789,60370808,60483284,60540688,60603177,60710760,61112295,61264609,61630518,61658975,61720977,61859329,61868797,61966323,61993334,62405761,62700404,63013597,63102396,63368996,63385886,63410228,63432208,63755449,63768640,63802974,63886580,64161129,64303158,64393297,64403127,64714770,64758144,64779224,64822089,65127843,65137554,65186448,65231480,65234936,65279319,65291017,65517145,65582689,65620388,65655766,65857844,65919369,65931217,65948137,66332998,66631638,66837987,66878689,67011249,67189129,67210561,67235091,67431934,67644975,67917159,68108274,68217145,68299605,68314377,68502068,68530809,68573641,68594809,68620765,68647510,68797524,68807761,68879126,68928829,69029088,69072212,69082669,69254180,69282049,69561145,69574676,69611574,70132489,70136756,70468977,70766238,70772518,70794875,70819980,70831334,70942424,71095479,71205450,71307896,71361234,71589558,71739720,71751369,71778589,71944212,71946397,72154640,72637165,72814089,72852912,72876627,73334754,73385415,73389303,73609858,73647889,73650289,73835065,73967965,73990770,74517649,74857057,74947294,75121900,75162265,75339769,75491977,75541312,75550870,75637549,75824365,75952480,75969849,76522368,76663896,76708897,76982654,76984568,77269510,77657724,77713475,77726257,77749748,78277776,78344761,78488497,78594265,78620574,78923488,79432606,79468897,79517101,79568569,79737080,79810227,80041775,80045732,80221383,80281118,80707185,80714289,80721889,81121449,81173970,81569377,81860574,81959526,81971348,82344918,82357009,82377012,82919895,83105016,83144289,83473374,83504420,83648749,83691565,83854921,84061801,84115270,84261944,84309500,84410228,84637475,84679124,84721789,84747009,84953850,84973537,84983976,84988765,85032596,85434063,85446540,85700852,86087664,86138049,86152294,86193529,86246883,86340644,86585568,86607639,86953789,87143006,87164598,87265496,87270238,87321001,87520870,87528049,87671558,87991526,88062498,88084250,88370470,88447888,88602078,88761558,88788924,89034356,89098886,89199766,89225686,89429396,89626177,89704215,89860377,90146280,90194718,90265465,90330409,90570841,90586040,90617440,90661044,90989238,90990877,91142976,91159645,91176577,91441249,91542265,91596369,92269846,92405017,92501761,92530815,92553249,92576809,92687965,92700836,92723412,92743977,92934489,93256170,93493143,93751537,93792769,94313118,94450809,94794687,94918429,94925257,95012175,95391489,95413208,95606973,95682998,95684496,95913409,95984470,96042481,96050130,96109076,96150327,96156032,96394424,96497534,96513177,96704979,96848622,96968749,97031638,97058377,97408764,97492417,97591357,97696969,97727288,97979977,98088056,98173683,98181129,98377606,98425657,98699536,98873089,99119065,99125209,99283377,99473248,99503874,99743965,99833923,99979297,...,4838746894704995209878351985623828196981359053381623371088110184399349131674431206336893202981642112818572668958055824635549713022907266567847440875504935468250126939454456133970379669277168917643220024816204444827732023829306903005545104891298644199769613475308029577232809147313925973634546320576909157680196462298003325472356197197174284044948913810028432831120233874505898534866692936839344571510602285072302130017249674305800262598984009348204103379191808532819845636772219209725949370063510919541959772534935420648502852941336742580510576957303074004691660087620277027735194141789545584532608196447011517416586008272783860521493206329800062034282080680534124607687542049990352677324220806934635506465773762298271967015014857163603158201987251082612033463766928276549968814406311834734215268321309847620793701902560815530627967712022873905286781861636024357744214166581125685860537996612815196391736176779235326743574773630912641949894759040319652679973238047669771110948531788238907731850319738514969913204756177964889790920610487200043797489466855809111406435802420209486999599407231034746723927679950884133189414218730442181504069664498931548926879249182699059713421625201465446388854813795142783475414312748391632438908580863201817121960249717441390787259131803309067661730146157963479831583060285521557982376523975232402039320566038669686722169967358692862828427545307783925541460794198829930422716739703326487015597534553351832126874897019059537535099763098028498533493073454634233649413519252210762276023930689106784733584171471830702520350995605276871437897674142652329065503769489133538050836398185443075796836056962494656139606197253364998583946221569586520807322869279645965353913883308276259932868137009392227648004538538245873538997461928203438051344002925222640027113593972675512687089807920217376059051457955252670435280190709961407112072851607870962725887310539870999702104458450926479581523419839477500724167377025386848097170530560259243221966070160827916159709436696892007535694314045346618700194719785148186026968265850928005239061807624066467200031717253314808149616636637391521442952157663722841631735727150700432381517114340954294727458652611889555860359405183966928335249567179074000429070340739468090697602135173890261324629927506058844129777165208387906329442063860442336283572051174631922126788687304319520550567784524127246847020782025679290674398462407971270022443705908253080915793044079744876028142111470934}
15360  1323796105708672345500128883403982445110415238332171626081499449: {168839,429772,444599,475199,613960,628079,690705,719711,736752,811271,828846,889082,933239,1085519,1115951,1267991,1359119,1480511,1541159,1805282,1934591,2170754,2267212,2537231,2627351,2633836,2717882,2820904,3017039,3173517,3196439,3375551,3464999,3613919,3989474,4059479,4097452,4177991,4266791,4621271,4827532,5022664,5209511,5288505,5641072,5650497,5755432,5920492,5973434,6114959,6117069,6289319,6346206,6434399,6474861,6869474,6897311,7282225,7300679,7559159,7583714,7761914,7772817,8102711,8193832,8330711,8460652,8473274,8529791,8599569,8738670,8756831,8870159,8955071,9039911,9121945,9124679,9218061,9321248,9463031,9519311,9544972,9716039,9905836,9940391,9972669,10136279,10139944,10193785,10486404,10638191,10721591,10804919,10946334,10961665,11220479,11407437,11606711,11645882,11771759,11799239,11872225,11898201,11963951,11995514,12018791,12162705,12232542,12429071,12518882,12755999,12769057,12953005,12973552,12985357,13031350,13153998,13163039,13406399,13514351,13568279,13729871,13735034,13777864,13822221,13908194,13971719,14164525,14239679,14246670,14254082,14533511,14562550,14595246,14599394,14613479,14799791,14879519,15196448,15344329,15470632,15500097,15543606,15548785,15637620,15804359,15909431,16380671,16455025,16511111,16590477,16677832,16680128,16823351,16997430,17004959,17062636,17096004,17212031,17341154,17404461,17475060,17681282,17983991,18009599,18130592,18137519,18190394,18241510,18316271,18513417,18550510,18621791,18640064,18658542,18762561,18765144,18867194,19009905,19052639,19373282,19531694,19585209,19746030,19882391,19907399,20032319,20132111,20206871,20277232,20281559,20289832,20376105,20396916,20549114,20554799,20579591,20629151,20970072,21050882,21062432,21110787,21172199,21442271,21662519,21734512,21760199,21889812,21920470,21965545,21970504,21979511,22028159,22088001,22125359,22212550,22260612,22354636,22464551,22778111,22811886,22826061,22826231,22850279,22901905,23210234,23315725,23408584,23419641,23540282,23591331,23615591,23695236,23710679,23728749,23781911,23869754,24207791,24362882,24451326,24453292,24677951,24716817,24740185,24958511,25121639,25261151,25334589,25846636,25967326,26059300,26108665,26138039,26304564,26322434,26334657,26358654,26480999,26640431,26655060,26993704,27047469,27048599,27129949,27294434,27431711,27482286,27499079,27880525,27902420,27939554,27968639,27978870,28185544,28190999,28301879,28324031,28432064,28865005,28964812,29094311,29377919,29508359,29542274,29681831,29688222,29763789,29844128,30005711,30156239,30160225,30367917,30584159,30648071,30860591,30902999,30990337,31030031,31149745,31271160,31330398,31379350,31493351,31535279,31571785,31604282,31708737,31751464,31807031,31986072,31990209,32470199,32552519,32637745,32675759,32699944,32704514,32962199,33053636,33348431,33355904,33388919,33410632,33456630,33458905,33482904,33486074,33574644,33651311,33751871,33812111,33884104,33892319,34072319,34109932,34193929,34251671,34311311,34370879,34588679,34638006,34667639,34886649,34942991,35080079,35180055,35218381,35233597,35302984,35353079,35488991,35585831,35687072,35720397,35721071,35962874,35984331,36009551,36162671,36192270,36219959,36391391,36488812,36505319,36576314,36729314,36787437,36788879,37096180,37240489,37379694,37424951,37525392,37586961,37655220,37668267,37813199,37841836,37849991,37886142,37963345,38088359,38099834,38119617,38179679,38197919,38579111,38599377,38605088,38757070,38938871,39058292,39064031,39165294,39366359,39384071,39437159,39526636,39715857,39759074,39860600,39918801,39964079,39998951,40147956,40150686,40165568,40333945,40358114,40432151,40485832,40569719,40586879,40723871,40739505,40945391,41103674,41148671,41199311,41320761,41531725,41549282,41734991,41751599,41784791,41805357,41834519,41900711,41911681,41999759,42098519,42170785,42180599,42196991,42216066,42218785,42474431,42541132,42685031,42760705,42813959,42910319,43025282,43356191,43430724,43436265,43450919,43455472,43476537,43670831,44049914,44182991,44194717,44195714,44271910,44412911,44515416,44519591,44610719,44822231,44843175,44867351,44922554,45102550,45186264,45196031,45491471,45546561,45556014,45645794,45798239,45971951,46158839,46332016,46508484,46520894,46625350,46652282,46878959,46948439,47072999,47155679,47169431,47219480,47374751,47483519,47503432,47531785,47832720,47842636,47940071,48046151,48196029,48361319,48374351,48400734,48555959,48594671,48825431,48848470,48887406,48914471,48952511,49015751,49254239,49484236,49575741,49624919,49722551,49795439,49807559,49838070,49940351,50079843,50091321,50119871,50226719,50273999,50297591,50333710,50364457,50450159,50468354,50604942,50647631,50654989,50662542,50693759,50792332,50834547,50865599,50885882,51021568,51035639,51163514,51270671,51302114,51312846,51425399,51436391,51454504,51632879,51816071,51922751,51985101,52007519,52112759,52123518,52258751,52331159,52362071,52392911,52420972,52609449,52667231,52670605,52727399,52817111,52824457,52876559,52965191,52973102,53070412,53118129,53121915,53126292,53130839,53160608,53227199,53426951,53441361,53558159,53724551,53752031,53775985,53811810,53870279,53924399,53951351,54042412,54043874,54123060,54129191,54233350,54234359,54243071,54321119,54346991,54364199,54407089,54463432,54475271,54526079,54528729,54542951,54618479,54816719,54824879,54994391,55105439,55129031,55156264,55207151,55222679,55289049,55496711,55503182,55526519,55548791,55593119,55617832,55629839,55656652,55661282,55702679,55745999,55797560,55803311,55895351,55909391,55950420,55951319,56196839,56282951,56295745,56329082,56380631,56419199,56551919,56589191,56595194,56644559,56663376,56681821,56711351,56789039,56800871,56803857,56855265,56957471,56991479,57038142,57077545,57080569,57080759,57108239,57124631,57221471,57237359,57242639,57315719,57336311,57376225,57399264,57412391,57416557,57525551,57530941,57639119,57657599,57712271,57731264,57765791,57774599,57813839,57831071,57856679,57886317,57904492,57921832,57927671,57944039,57980399,58004279,58048514,58058879,58085591,58093151,58137839,58141511,58170599,58247951,58264991,58319949,58372439,58400231,58479719,58496591,58507679,58515911,58576631,58609079,58618164,58676591,58678799,58702559,58703354,58745231,58764311,58786151,58791431,58843271,58853519,58872839,58874159,58910039,58921391,58933559,58941191,58942799,58945151,58952471,58961951,58976471,58977071,58981031,58982279,58982351,59182636,59632525,59680448,59760424,59805684,59873830,60260282,60312550,60400452,60645616,60773836,60859905,61158914,61223097,61271361,61286714,61313065,61887025,62050797,62052904,62074621,62177282,62394409,62556794,62570061,62772255,63022366,63060794,63135310,63186434,63204726,63240375,63437282,63478129,63746298,64110664,64531182,64574172,64917232,64947672,65080020,65162061,65300282,65935432,66098648,66458420,66957072,67080909,67140504,67230477,67311686,67361497,67456400,67528744,67554894,67902550,68093954,68226318,68265385,68333282,68493054,68572034,68621836,68711277,68851470,69058052,69345832,69418688,69769945,69809517,70109882,70475665,70478572,70694882,70932424,71507834,71559030,71611432,71848596,71854082,71905300,72124497,72289864,72364270,72375060,72451405,72716889,72741832,72917121,73031886,73066131,73339514,73441568,73575678,73580749,73729201,74177361,74264430,74321704,74353634,74360979,74465932,74728875,74773437,75326706,75369801,75448264,75463510,75533067,75604105,75675860,75762372,75797882,75888450,75969837,76329632,76346882,76357309,77200064,77391902,77805481,77972282,78014061,78096024,78375505,78375777,78719714,78825914,78877995,79211245,79215392,79262785,79290260,79306636,79710800,79750104,79798977,79858225,80401634,80562861,80804236,80816354,80947009,80947680,80974030,81125882,81326097,81483060,81539350,81543670,81834561,81918462,82025485,82148282,82174024,82294636,82322305,82351034,82621764,82855394,83126481,83455874,83486557,83611917,83723934,83952314,84050737,84136528,84267489,84345121,84346874,84570798,84708237,84879297,85070632,85232158,85511377,85548172,85613282,85627585,85737544,85827049,85870836,85902074,85996905,86285114,86286360,86340265,86344192,86362094,86429452,86567725,86622657,86837124,86850072,86915264,86941686,86968345,87039092,87232634,87514082,87670945,87679641,87753201,87858027,87892492,88270089,88524975,88678030,88842184,89117316,89134870,89348332,89471577,89538434,89646788,89674650,89718867,89930265,90078434,90193300,90556212,90701882,90724926,90811032,90966914,91066140,91085836,91374412,91730032,92014082,92038784,92445777,92815432,92844829,92990001,93902375,93958636,94050606,94294394,94354984,94426640,94653594,94705154,94793972,94940600,94949882,95053494,95078829,95115342,95148312,95452744,95559037,95652960,95668492,95704461,95829870,95925616,96230710,96454737,96548282,96597886,96704954,97072155,97085452,97137216,97168836,97187185,97360054,97520269,97706331,97779672,97847220,97852404,98340086,98430582,98483649,98653009,98654360,98786766,99122221,99499497,99572282,99671350,99947457,...,7258120342057492814817527978435742295472038580072435056632165276599023697511646809505339804472463169227859003437083736953324569534360899851771161313257403202375190409181684200955569503915753376464830037224306667241598035743960354508317657336947966299654420212962044365849213720970888960451819480865363736520294693447004988208534295795761426067423370715042649246680350811758847802300039405259016857265903427608453195025874511458700393898476014022306155068787712799229768455158328814588924055095266379312939658802403130972754279412005113870765865435954611007037490131430415541602791212684318376798912294670517276124879012409175790782239809494700093051423121020801186911531313074985529015986331210401953259698660643447407950522522285745404737302980876623918050195650392414824953221609467752101322902481964771431190552853841223295941951568034310857930172792454036536616321249871688528790806994919222794587604265168852990115362160446368962924842138560479479019959857071504656666422797682358361597775479607772454869807134266947334686380915730800065696234200283713667109653703630314230499399110846552120085891519926326199784121328095663272256104496748397323390318873774048589570132437802198169583282220692714175213121469122587448658362871294802725682940374576162086180888697704963601492595219236945219747374590428282336973564785962848603058980849058004530083254951038039294242641317961675888312191191298244895634075109554989730523396301830027748190312345528589306302649644647042747800239610181951350474120278878316143414035896033660177100376257207746053780526493407915307156846511213978493598255654233700307076254597278164613695254085443741984209409295880047497875919332354379781210984303919468948030870824962414389899302205514088341472006807807368810308496192892305157077016004387833960040670390959013269030634711880326064088577186932879005652920286064942110668109277411806444088830965809806499553156687676389719372285129759216251086251065538080272145755795840388864832949105241241874239564155045338011303541471068019928050292079677722279040452398776392007858592711436099700800047575879972212224424954956087282164428236495584262447603590726050648572275671511431442091187978917834333790539107775950392502874350768611000643605511109202136046403202760835391986944891259088266194665747812581859494163095790663504425358076761947883190183030956479280825851676786190870270531173038518936011597693611956905033665558862379621373689566119617314042213167206401}
15361  1329716078671582983464233714537234683567212352502657065344841561: {15361,30718,537215,644658,767450,920940,982336,1105128,1243269,1333623,2468291,2707923,2834015,3204179,3256131,3292295,3388151,3400818,3526130,3786263,3950754,4076823,4231356,4394831,4935938,5036003,5121815,5223779,5733794,5775263,5984211,6034415,6146178,6232391,6278330,6407522,6694403,6775418,7051340,7169603,7194290,7240211,7241298,7400615,7533996,8069951,8156092,8158631,8437463,8461608,8633148,8872451,8880738,8960151,9519309,9628103,9773522,10242290,10258919,10304211,10363756,10575815,10913891,11351858,11375571,11466092,11642871,11651560,11726663,11931215,11979458,12055631,12122591,12267431,12290748,12382295,12499283,12674930,12690978,12709911,13108005,13270499,13296892,13536803,13806914,13981872,14100671,14317458,14593103,14595112,14702339,14858754,15098618,15209916,15396023,15681263,15729606,15864268,16201154,16216940,16310056,16419501,17222330,17400503,17468823,17538664,17654663,17742578,17753603,17993271,18273959,18348813,18429628,18695378,18778323,18951311,18995560,19017698,19065383,19224191,19338290,19432319,19460328,19547025,19730997,19845122,20377571,20419538,20482511,20515154,20600579,20602551,20666796,20724808,20847290,20850160,20862291,20927903,21178103,21200231,21328295,21370005,21381123,21433631,21843825,21892869,21899091,22120636,22367138,22663240,22794672,22909763,23205948,23300080,23315409,23450258,23456430,23532611,23619491,23835842,23862674,24063443,24662351,24684556,24878056,25016748,25020192,25100111,25245539,25346540,25362290,25496145,25593954,25644006,25914551,26011731,26038898,26113612,26212590,26238311,26328040,26521923,26537522,26566703,26686991,26933351,27014399,27168140,27195888,27230291,27285591,27362265,27463130,27507602,27550778,27725603,27782531,27825765,27930659,27943295,27960096,27987813,28147716,28300791,28612451,28873679,29059923,29186416,29234303,29247479,29260730,29297541,29440463,29450668,29619045,29648591,29680816,29877122,29946431,30415848,30434748,30566615,30595374,30788018,30823671,30862691,30890111,31226188,31455108,31547543,31576323,31593648,31638332,31701251,32303303,32308295,32574125,32601768,32834718,32853503,32880705,32937554,32955756,33054818,33318825,33390918,33531954,33585059,33742130,33779452,34002671,34217829,34448591,34815351,34878025,35072752,35112876,35137619,35144872,35231930,35310423,35425103,35540080,35542854,35804631,35877314,36063292,36206015,36357242,36544323,36643048,36676989,36679938,36864194,37305160,37897658,38023538,38089799,38125778,38162759,38712083,38769954,38859554,38950989,39000431,39088950,39190463,39456846,39483651,39537981,39584296,39685052,39689330,39982590,40490556,40534103,40540514,40874930,40941651,40996418,41195762,41223429,41317045,41461778,41520791,41565503,41694880,41763290,41773864,41853630,41909331,41968305,42049919,42278316,42355130,42637415,42648096,42653612,43011383,43060898,43447218,43855394,44128730,44313411,44532333,44608840,44622071,44643872,44754554,44766192,45022691,45611015,45805631,45927431,46184008,46370225,46515532,46805111,46906740,46961498,46995597,47059058,47069025,47302295,47330231,47406423,47627196,47655503,47979108,48256360,48261731,48591203,48619811,48665603,48822865,49049916,49056771,49365599,49408295,49580454,49822322,49825750,49839592,50033856,50115948,50184945,50206960,50224356,50229111,50361966,50419031,50514856,50607290,50681603,50826156,51164898,51253154,51361274,51465836,51957009,52138679,52220392,52257362,52290371,52291871,52337594,52744451,52954476,53064914,53116271,53176415,53225068,53305151,53530608,53534248,53944311,54021722,54120791,54288405,54296291,54319340,54649703,54733218,54852359,54864471,55093971,55094348,55551383,55644270,55653191,55740476,55854002,56069541,56096831,56288088,56453498,56482830,56762754,56802578,56829213,57149751,57323711,57693503,57836317,57907632,57915020,57968716,58135605,58587438,58747941,58854434,59024350,59087651,59289954,59312018,59353888,59379290,59638611,59790900,59803295,59885018,60221934,60226029,60244103,60248352,60486371,60537171,60660179,60677603,60728748,60741352,61242983,61655511,61717298,61723139,61855295,61937378,61942751,62011312,62065871,62257271,62323923,62660003,62836562,63253631,63324099,63490415,63649103,63776960,63811698,64261372,64261391,64318130,64524671,64534312,64537923,64618151,65031491,65146086,65183208,65384738,65526215,66017231,66074871,66087431,66100988,66293571,66322322,66338015,66407865,66450760,66638258,66773124,66788428,67383831,67473256,67550056,67553015,67653825,67779396,67805831,68079290,68248154,68334021,68354003,68417128,68468691,68945330,69136199,69147479,69291203,69313468,69374303,69441311,69498024,69522290,69568754,69570815,69746950,69762726,69781341,69938025,69978423,70145932,70265954,70824172,70829220,70835056,71255148,71749080,71763954,71902271,71968979,72164080,72173954,72380615,72402290,72458471,72601101,72704972,73272705,73331109,73619462,73640471,73718732,73752263,73823042,73846991,73978295,74226354,74436803,74600560,74700530,74757105,75020351,75500565,75514274,75551168,75702531,75738476,75807020,75819491,75907413,75967295,75993813,76020338,76050856,76188498,76328823,76348178,76532352,76745271,76953171,76967738,76969269,76982903,77038103,77043671,77162111,77181756,77566130,77593178,77736911,77759932,77918711,78157552,78185277,78631458,78674042,78869711,79109951,79430663,79459653,79605618,79689438,79740912,79979951,80097314,80138330,80263778,80410679,80533936,80717715,81063618,81065811,81146540,81184590,81213503,81318263,81350025,81517139,81630796,81695148,82419290,82560611,82623310,82734396,83073025,83254773,83426748,83484978,83491923,83521151,83696340,83925630,83934914,84272968,84320500,84410930,84478151,84493623,84732983,84771551,84892791,84995064,85001039,85299731,85324514,85548371,85557213,85700858,85777295,86041576,86098896,86322565,86596896,86682290,86773360,86856738,86882748,87072771,87804623,87927246,88055031,88098215,88467431,88665530,88773954,88818179,89217791,89276096,89441212,89514290,89520672,89638019,89640636,89708526,89810745,89881625,89889074,90073192,90362330,90390423,90468825,90564671,90600678,90651203,90927290,90966098,90968424,91160754,91324072,91435991,91615036,91724003,91738371,91801960,91930071,92364323,92525399,92589263,92826899,92902130,93079356,93082415,93265923,93300794,93343139,93641039,93835191,93874898,94310330,94533549,94591191,94594825,94702965,94779651,94807089,95155923,95351474,95412040,95504003,95619447,95784098,95798128,95953631,96069071,96106514,96165996,96287858,96500080,96796773,96861258,96955852,97222828,97375848,97385603,97421508,97620030,97706183,97950423,98100904,98747903,98903148,99019240,99112825,99133295,99147972,99164711,99371591,99407738,99638500,99659843,99687630,99697916,99732218,...,9677493789409990419756703971247656393962718106763246742176220368798698263348862412673786405963284225637145337916111649271099426045814533135694881751009870936500253878908912267940759338554337835286440049632408889655464047658613806011090209782597288399539226950616059154465618294627851947269092641153818315360392924596006650944712394394348568089897827620056865662240467749011797069733385873678689143021204570144604260034499348611600525197968018696408206758383617065639691273544438419451898740127021839083919545069870841297005705882673485161021153914606148009383320175240554055470388283579091169065216392894023034833172016545567721042986412659600124068564161361068249215375084099980705354648441613869271012931547524596543934030029714327206316403974502165224066927533856553099937628812623669468430536642619695241587403805121631061255935424045747810573563723272048715488428333162251371721075993225630392783472353558470653487149547261825283899789518080639305359946476095339542221897063576477815463700639477029939826409512355929779581841220974400087594978933711618222812871604840418973999198814462069493447855359901768266378828437460884363008139328997863097853758498365398119426843250402930892777709627590285566950828625496783264877817161726403634243920499434882781574518263606618135323460292315926959663166120571043115964753047950464804078641132077339373444339934717385725656855090615567851082921588397659860845433479406652974031195069106703664253749794038119075070199526196056997066986146909268467298827038504421524552047861378213569467168342943661405040701991210553742875795348285304658131007538978267076101672796370886151593672113924989312279212394506729997167892443139173041614645738559291930707827766616552519865736274018784455296009077076491747077994923856406876102688005850445280054227187945351025374179615840434752118102915910505340870560381419922814224145703215741925451774621079741999404208916901852959163046839678955001448334754050773696194341061120518486443932140321655832319418873393784015071388628090693237400389439570296372053936531701856010478123615248132934400063434506629616299233273274783042885904315327445683263471454301400864763034228681908589454917305223779111720718810367933856670499134358148000858140681478936181395204270347780522649259855012117688259554330416775812658884127720884672567144102349263844253577374608639041101135569048254493694041564051358581348796924815942540044887411816506161831586088159489752056284222941868}
15362  1335662315212617347884945934937510814231669085383652176684169853: {46077,199537,337678,475261,658717,859544,889198,950398,966987,1116097,1151175,1227920,1256158,1381410,1439422,1473504,1571677,1622542,1657692,1778164,1866478,2171038,2231902,2477437,2535982,2718238,2961022,3082318,3375997,3610564,3644161,3869182,4089661,4341508,4534424,4975261,5074462,5101227,5239537,5254702,5267672,5289195,5435764,5641808,5678557,5926131,6034078,6347034,6392878,6464257,6551197,6751102,6929998,7227838,7403907,7978948,8018161,8118958,8194904,8355982,8533582,8600691,8814175,9219267,9242542,9295261,9417495,9611283,9655064,10045328,10163127,10195115,10388977,10419022,10577010,10723057,10791435,10861947,11222017,11282144,11300994,11510864,11800861,11840984,11946868,12047857,12229918,12234138,12458077,12578638,12692412,12770723,12784957,12868798,12949722,12954695,13321107,13738948,13794622,14271299,14332615,14564450,14601358,14642161,14660283,14881597,15118318,15167428,15279217,15346331,15363435,15523828,15545634,16205422,16387664,16621115,16661422,16921304,16946548,17027787,17059582,17162737,17199138,17477340,17513662,17740318,17910142,17969187,18012157,18079822,18134207,18165661,18243890,18249358,18436122,18642496,18926062,19012395,19036467,19038622,19089944,19432078,19534237,19811672,19830335,19880782,19910257,19945338,20271175,20272558,20279888,20284477,20387570,20402899,20582557,20656897,20710371,20972808,21175261,21276382,21443182,21476187,21609838,21768299,21892668,21923330,22288131,22440958,22647927,22814874,22853617,23037035,23141617,23213422,23291764,23543518,23594409,23598478,23744450,23796402,23927902,23991028,24037582,24301731,24325410,24465084,24858142,25037764,25511998,25538114,25833495,25906010,25947104,25970714,26062700,26164861,26307996,26326078,26613867,26812798,27028702,27136558,27323377,27459742,27470068,27555728,27644442,27650795,27816388,27943438,27995137,28043067,28328317,28329050,28479358,28493340,28508164,28526547,28725757,28989277,29007435,29067022,29125100,29190492,29198788,29226958,29599582,29708017,29759038,29767683,30392896,30629307,30688658,30751763,30772731,30855695,30928957,30941264,30992497,31000194,31087212,31097570,31270935,31275240,31608718,31683175,31818862,31874497,32062667,32372161,32557597,32642015,32761342,32910050,33022222,33180954,33355664,33360256,33550707,33646702,33777277,33960175,33994860,34009918,34125272,34192008,34424062,34636259,34673137,34682308,34808922,34950120,35175387,35184645,35362564,35668861,35753763,35794011,35967982,36019198,36261184,36275038,36380788,36483020,36552131,36632542,36643777,36813335,36813661,37026834,37101020,37243582,37263517,37280128,37317084,37525122,37530288,37653361,37734388,38019810,38043435,38094577,38105278,38204161,38390931,38466009,38746564,39032735,39058347,39063388,39170418,39318885,39390577,39492060,39547915,39764782,39806283,39814798,39918337,39970717,40064638,40264222,40411007,40413742,40554464,40563118,40579664,40593661,40752210,40793832,41098228,41109598,41159182,41194695,41258302,41261403,41326167,41508637,41621723,41758657,41858161,41940144,42101764,42124864,42204157,42221574,42224315,42344398,42595261,42692317,42884542,42933697,43325038,43469024,43520398,43609643,43694017,43779624,43840940,43891095,43931090,43941008,43959022,44011487,44056318,44176002,44200499,44250718,44425100,44521224,44709272,44815683,44845117,44929102,45079115,45556222,45623772,45652122,45652462,45692843,45700558,45803810,45820861,45893061,46182027,46252861,46420468,46631450,46817168,46839282,46842467,46887361,47080564,47095261,47177917,47182662,47231182,47390472,47421358,47457498,47563822,47739508,48383197,48415582,48725764,48902652,48906584,49252077,49355902,49406331,49433634,49449661,49480370,49582227,49606315,49743997,49816861,49917022,50086377,50243278,50247997,50297931,50522302,50613195,50669178,50875261,51045361,51280477,51313777,51446257,51693272,51772417,51934652,52118600,52122877,52217330,52276078,52433917,52609128,52644868,52669314,52717308,52847895,52961998,53148683,53280862,53310120,53314281,53317015,53437597,53815971,53853937,53935261,53987408,54094938,54097198,54148957,54254077,54259898,54535863,54587761,54588868,54762397,54836161,54863422,54964572,54998158,55005757,55019907,55077361,55241917,55265137,55296291,55648861,55761050,55804840,55879108,55907197,55937278,55957740,56314717,56371088,56381998,56431357,56467523,56564161,56603758,56648062,56693437,56836861,56846487,56864128,56889457,57009661,57035307,57188667,57255361,57410161,57528817,57730010,57929624,57981697,58099057,58144415,58154931,58155037,58187761,58188622,58261597,58289331,58292161,58623217,58633425,58693057,58755838,58859377,58888861,58900417,58924861,58960897,58986097,58991677,58994161,58995997,58997761,59016718,59039099,59084548,59106299,59185269,59363662,59376444,59521631,59527578,59533995,59688256,59864987,59973885,60011422,60312478,60320450,60735834,60807923,60810771,61168318,61296142,61312395,61494627,61721182,61793643,61805998,61980674,62060062,62192667,62299490,62542320,62644935,62660796,62758700,62780445,62986702,63070558,63143570,63208564,63417474,63502928,63532695,63614062,63972144,63980418,64299287,64332295,64591347,64940398,65105038,65170827,65275490,65351518,65399888,65409028,65783091,65924398,66107272,66193095,66531335,66544499,66696862,66711808,66777838,66821264,66913260,66917810,66965808,66972148,67131831,67149288,67302622,67503742,67624222,67768208,67784638,67855931,67899175,68144638,68219864,68387858,68503342,68622622,68741758,68867935,69177358,69276012,69335278,69675595,69773298,69885982,70160158,70360110,70436762,70442247,70467194,70588587,70605968,70706158,70977982,71171662,71374144,71440794,71442142,71925748,71968662,72019102,72325342,72384540,72393775,72439918,72460895,72782782,72977624,73010638,73152628,73458628,73574874,73577758,73738847,74192360,74370681,74480978,74733483,74738625,74759388,74849902,75019607,75050784,75173922,75286379,75310440,75336534,75542949,75626398,75683672,75699982,75772284,75898339,75910935,75926690,76176718,76199668,76239234,76359358,76395838,76747347,76879731,77041911,77158222,77198754,77210176,77514140,77877742,78116584,78128062,78330588,78386043,78506391,78732718,78768142,78814043,78874318,79053272,79431714,79518148,79597371,79721200,79837602,79908563,79928158,79997902,80295912,80301372,80326715,80331136,80667890,80716228,80864302,80971664,81032583,81139438,81173758,81447742,81479010,81890782,82099827,82207348,82297342,82398622,82626235,82641522,83063450,83098564,83466405,83469982,83485535,83503198,83569582,83610714,83669038,83781003,83801422,83823362,83999518,84197038,84341570,84361198,84393982,84432132,84437570,84680247,84724245,84948862,85082264,85144131,85203867,85370062,85521410,85627918,85820638,85838291,86050564,86641835,86712382,86861448,86872530,86901838,86910944,86953074,86959067,87341662,87682415,87881157,88099828,88281651,88365982,88389434,88391428,88530215,88536525,88543820,88825822,88934931,88968027,89030832,89039182,89068935,89221438,89644462,89686350,89734702,89827527,89845108,90205100,90332901,90372528,90392062,90881215,90982942,91093122,91112028,91291588,91596478,91943902,92148415,92317678,92575947,92664032,92906067,93016968,93041788,93250700,93304564,93757918,93896878,93939059,94145998,94254843,94311358,94338862,94438960,94673095,94749502,94758775,94967038,95006864,95063570,95571539,95664647,95665440,95685272,95717547,95880142,96092302,96392058,96477195,96722638,96748702,96801468,97111918,97189342,97199915,97650862,97677923,97696940,97719129,97774812,97828942,97905022,98031502,98035531,98077107,98508478,98665931,98968472,99151482,99249838,99445102,99483483,99590878,99615118,99676140,99880702,99957387,...,14516240684114985629635055956871484590944077160144870113264330553198047395023293619010679608944926338455718006874167473906649139068721799703542322626514806404750380818363368401911139007831506752929660074448613334483196071487920709016635314673895932599308840425924088731698427441941777920903638961730727473040589386894009976417068591591522852134846741430085298493360701623517695604600078810518033714531806855216906390051749022917400787796952028044612310137575425598459536910316657629177848110190532758625879317604806261945508558824010227741531730871909222014074980262860831083205582425368636753597824589341034552249758024818351581564479618989400186102846242041602373823062626149971058031972662420803906519397321286894815901045044571490809474605961753247836100391300784829649906443218935504202645804963929542862381105707682446591883903136068621715860345584908073073232642499743377057581613989838445589175208530337705980230724320892737925849684277120958958039919714143009313332845595364716723195550959215544909739614268533894669372761831461600131392468400567427334219307407260628460998798221693104240171783039852652399568242656191326544512208993496794646780637747548097179140264875604396339166564441385428350426242938245174897316725742589605451365880749152324172361777395409927202985190438473890439494749180856564673947129571925697206117961698116009060166509902076078588485282635923351776624382382596489791268150219109979461046792603660055496380624691057178612605299289294085495600479220363902700948240557756632286828071792067320354200752514415492107561052986815830614313693022427956987196511308467400614152509194556329227390508170887483968418818591760094995751838664708759562421968607838937896061741649924828779798604411028176682944013615614737620616992385784610314154032008775667920081340781918026538061269423760652128177154373865758011305840572129884221336218554823612888177661931619612999106313375352779438744570259518432502172502131076160544291511591680777729665898210482483748479128310090676022607082942136039856100584159355444558080904797552784015717185422872199401600095151759944424448849909912174564328856472991168524895207181452101297144551343022862884182375957835668667581078215551900785005748701537222001287211022218404272092806405521670783973889782518176532389331495625163718988326191581327008850716153523895766380366061912958561651703353572381740541062346077037872023195387223913810067331117724759242747379132239234628084426334412802}
15363  1341634930921649711581438044933634035607230102612421563628977574: {30722,61436,506517,752101,1074430,1289316,1333797,1425597,1534900,1841880,1884237,1964672,2072115,2159133,2210256,2222705,2433813,2486538,2667246,2799717,3256557,3347853,3786757,3803973,3878237,3967621,4077357,4430081,4441533,4513205,4609213,4623477,4936582,5415846,5426885,5668030,5803773,6173557,6408358,6512262,6584590,6776302,6794705,6801636,7052260,7170541,7365553,7572526,7611693,7882053,7901508,8153646,8448181,8462712,8556613,8789662,8919317,9019357,9051117,9520551,9589317,9871876,9973685,10072006,10126653,10243630,10360861,10394997,10447558,10760821,10841757,11467588,11550526,11968422,12068830,12124177,12178437,12223901,12292356,12464782,12533973,12556660,12800373,12815044,13388806,13550836,13863813,13940597,14102680,14339206,14388580,14426957,14480422,14482596,14497873,14801230,14806141,14933585,14942477,15067992,15332861,15628533,15683317,15865515,16139902,16312184,16317262,16703701,16874926,16923216,16951491,17173685,17266296,17335213,17744902,17761476,17920302,18344877,18351207,18634853,18867957,18959285,19038618,19256206,19303197,19404785,19424583,19447621,19547044,20380237,20484580,20517838,20608422,20691933,20727512,20836181,20930641,21151630,21180877,21183185,21536093,21596497,21827782,21846675,21902037,22677477,22703716,22751142,22932184,23285742,23303120,23318451,23453326,23862430,23958916,24111262,24245182,24308133,24534862,24581496,24764590,24934277,24992133,24998566,25349860,25381956,25419822,25589373,25798707,26216010,26270493,26540998,26593784,26610477,26865213,27073606,27119733,27365835,27374037,27613828,27654183,27963744,28201342,28247173,28389093,28557933,28634916,28877461,29114705,29148117,29186206,29190224,29262593,29404678,29717508,29821173,29826637,29835637,29859613,29875637,29918007,29988785,30197236,30408837,30419832,30581355,30792046,31008913,31297205,31362526,31426517,31459212,31728536,31853261,31914573,32164773,32181253,32402308,32414757,32433880,32578375,32620112,32839002,32884995,33179537,33661437,33729221,34222311,34337585,34444660,34531117,34770485,34801006,34820133,34937646,35077328,35309326,35315277,35397717,35485156,35507206,35616675,35635205,35694603,35891853,35986542,36056373,36406375,36488115,36498485,36547918,36697626,36718621,36859256,36921197,37287213,37390756,37488413,37556646,37827061,37902622,37991120,38020133,38035396,38130766,38267997,38307171,38448382,38676580,38859015,38864638,38920656,38956071,39094050,39120613,39461994,39489117,39574973,39690244,40024357,40219197,40543053,40704837,40755142,40839076,40965022,41030308,41189613,41201158,41205102,41333592,41449616,41466663,41526277,41693861,41694580,41700320,41724582,41855806,41915157,42356206,42400462,42493575,42656590,42719037,42740010,42762246,42793261,42867262,43352885,43588717,43600533,43687650,43785738,43798182,43840437,44203205,44241272,44399373,44617457,44623793,44630597,44638557,44734276,45015217,45231613,45302821,45326480,45475985,45589344,45603775,45819526,46032987,46376275,46411896,46500291,46600160,46630818,46646355,46900516,46912860,47065222,47167985,47238982,47249381,47413077,47671684,47725348,47728293,48126886,48433205,48829235,49142013,49324702,49365075,49369112,49533333,49756112,49771431,50033496,50040384,50200222,50470053,50491078,50688421,50693080,50724580,50734001,50992290,51014877,51187908,51288012,51372785,51636093,51773677,51829102,52023462,52077796,52213383,52227224,52425180,52476622,52627205,52656080,53043846,53075044,53133406,53373982,53866702,53951973,54028797,54028798,54277873,54336280,54391776,54412557,54460582,54571182,54724530,54801175,54926260,54948813,55015204,55101556,55451206,55531375,55540251,55565062,55585217,55651530,55861318,55865373,55886590,55920192,55975626,56287683,56295432,56601582,56711761,57029715,57157917,57224902,57747358,57843863,58025585,58119846,58279493,58372832,58468606,58494958,58521460,58595082,58755627,58850705,58880926,58901336,59238090,59297182,59361632,59423933,59647173,59674385,59692381,59722197,59754244,59892862,60096957,60396333,60620613,60831696,60844677,60869496,60907205,61128315,61133230,61190748,61370161,61379741,61576036,61647342,61664397,61725382,61738773,61780222,61887453,62417837,62452376,62910216,63064397,63095086,63152646,63187296,63276664,63332361,63402502,63516597,63694541,63811037,63855421,64067677,64326813,64606606,64616590,64918315,64987557,65148250,65203536,65280597,65466637,65669436,65707006,65761410,65771953,65806085,65875108,65896635,65911512,65938533,65948861,66084477,66109636,66223213,66264003,66376077,66549557,66637650,66781836,66983573,67063908,67170118,67393653,67396093,67436093,67484260,67558904,68005342,68236085,68334333,68352011,68435658,68478183,68478693,68550837,68705715,68897182,68947121,69171613,69630702,69756050,69848885,69947175,70145504,70225752,70258923,70275238,70289744,70463860,70620846,70773993,70846773,70850206,71080160,71085708,71132037,71186247,71345733,71420101,71483893,71609262,71754628,72126584,72412030,72623373,72714484,73088646,73286096,73353978,73359876,73728388,73855685,74033853,74150451,74220555,74446981,74610320,74875533,74978993,75364917,75512261,75783453,75795316,76003767,76047076,76062737,76179598,76251556,76325518,77424166,77539908,77610877,77719108,77901978,78000862,78106741,78177900,78325995,78380926,78414117,78448375,78913692,78967302,79003971,79010705,79075962,79168592,79370104,79378660,79442997,79921293,79965180,80543581,80958413,80981112,80982997,81068206,81081028,81091393,81142407,81145797,81389847,81706417,81749860,81761285,81883302,81992836,82295133,82391524,82446858,82497237,82634090,82923556,82968973,83010197,83041582,83105957,83131006,83389760,83526580,83547728,83641575,83707260,83715185,83724613,83818662,83905917,83936610,84099838,84556632,84572997,84710260,84905637,84972093,84996461,85274830,85296192,85307224,86022766,86121796,86477681,86595015,86597413,86894436,87282933,87710788,88133757,88257460,88525077,88626822,88886581,89045493,89064666,89155613,89217680,89244142,89287744,89291367,89389357,89509108,89532384,89604853,89907185,90017133,90045382,90468717,90480675,90576637,91103751,91200773,91222030,91440785,91611262,91736701,91752477,91823285,91854862,91944213,92368016,92526797,92581773,92691857,92708997,92740450,92873221,92971011,93031064,93090093,93449235,93610222,93813480,93922996,93991194,94118116,94138050,94416757,94480053,94574221,94604590,94605837,94660462,94715355,94812846,95126211,95249585,95254392,95311006,95421093,95495317,95958216,95970627,96272957,96338437,96512720,96523462,96892675,97182406,97207517,97239622,97331206,97399141,97410597,97645730,97657557,97913235,98027277,98099832,98113542,98731198,98778301,98816590,98886597,98906461,98910641,99160908,99397685,99449381,99644644,99651500,99679184,...,21774361026172478444452583935307226886416115740217305169896495829797071092534940428516019413417389507683577010311251210859973708603082699555313483939772209607125571227545052602866708511747260129394490111672920001724794107231881063524952972010843898898963260638886133097547641162912666881355458442596091209560884080341014964625602887387284278202270112145127947740041052435276543406900118215777050571797710282825359585077623534376101181695428042066918465206363138397689305365474986443766772165285799137938818976407209392918262838236015341612297596307863833021112470394291246624808373638052955130396736884011551828374637037227527372346719428484100279154269363062403560734593939224956587047958993631205859779095981930342223851567566857236214211908942629871754150586951177244474859664828403256303968707445894314293571658561523669887825854704102932573790518377362109609848963749615065586372420984757668383762812795506558970346086481339106888774526415681438437059879571214513969999268393047075084793326438823317364609421402800842004059142747192400197088702600851141001328961110890942691498197332539656360257674559778978599352363984286989816768313490245191970170956621322145768710397313406594508749846662078142525639364407367762345975088613884408177048821123728486258542666093114890804477785657710835659242123771284847010920694357888545809176942547174013590249764853114117882727923953885027664936573573894734686902225328664969191570188905490083244570937036585767918907948933941128243400718830545854051422360836634948430242107688100980531301128771623238161341579480223745921470539533641935480794766962701100921228763791834493841085762256331225952628227887640142493627757997063139343632952911758406844092612474887243169697906616542265024416020423422106430925488578676915471231048013163501880122011172877039807091904135640978192265731560798637016958760858194826332004327832235419332266492897429419498659470063029169158116855389277648753258753196614240816437267387521166594498847315723725622718692465136014033910624413204059784150876239033166837121357196329176023575778134308299102400142727639916636673274864868261846493284709486752787342810772178151945716827014534294326273563936753503001371617323327851177508623052305833001930816533327606408139209608282506175960834673777264798583997243437745578482489287371990513276074230285843649570549092869437842477555030358572610811593519115556808034793080835870715100996676587138864121068698358851942126639501619203}
15364  1347634041893231656791676672722542451373988412880830776815016328: {46083,76795,92154,399074,675356,950522,1317434,1541563,1611645,1719088,1778396,1900796,1918625,1933974,1995523,2086099,2232194,2302350,2455840,2512316,2762820,2878844,2898043,2947008,3143354,3245084,3315384,3436099,3525523,3556328,3729807,3732956,3882499,3971563,4000869,4238323,4342076,4463804,4681483,4954874,5071964,5210899,5436476,5922044,6164636,6751994,6956899,7221128,7288322,7404873,7733203,7738364,8123769,8179322,8502045,8683016,8759203,8815325,9068848,9098899,9437443,9521899,9612537,9768393,9876885,9950522,10148924,10164453,10202454,10479074,10509404,10535344,10578390,10863403,10871528,11278843,11283616,11357114,11358789,11852262,11939803,12022099,12068156,12230469,12339845,12694068,12785756,12928514,13102394,13184493,13502204,13572043,13733683,13859996,14056099,14273161,14334485,14455676,14807814,15108009,15175483,15365445,15671337,15695825,15957896,16018805,16036322,16237916,16389808,16711964,16828099,16938545,17067164,17201382,17325789,17628350,17952633,17985725,17989099,18065923,18103245,18136573,18372499,18438534,18485084,18590522,18697173,18834990,19133899,19222566,19310128,19963123,20065661,20083209,20090656,20187763,20326254,20390230,20405561,20560723,20635099,20777954,20838044,21079843,21154020,21446114,21508809,21582870,21720633,21723894,21815323,22034563,22107499,22180363,22201845,22444034,22564288,22601988,22832899,23021728,23269561,23601722,23681968,23893736,24095714,24112517,24209853,24262099,24433805,24459836,24468276,24475893,24544483,24916154,25157276,25312389,25315099,25384824,25541446,25569914,25593163,25605725,25662499,25731763,25737596,25899444,25909390,26617353,26642214,26693899,26880453,27034099,27477896,27589244,27762469,28379645,28542598,28557927,28665230,28884309,29103163,29128900,29202716,29284322,29320566,29365099,29430403,29763194,29948645,30236636,30334856,30558434,30657499,30692662,30726870,30776757,30912523,30912633,31047656,31091268,31229683,31356043,31545043,31607899,31687325,31727445,32251849,32410844,32603803,32741673,32775328,33242230,33322844,33399403,33842608,33893096,34055574,34119164,34123003,34126713,34302283,34325474,34398276,34517285,34718083,34928613,34954680,35027324,35179989,35480636,35539099,35771083,35793645,35820284,35938374,36024314,36159644,36166893,36268414,36331322,36367773,36403099,36487780,36498716,36744163,36802293,36872244,37146885,37284992,37474243,37497849,37746545,37852124,37862323,38024790,38072934,38077244,38129733,38179888,38356099,38627899,38711113,38864156,38951683,39068474,39112603,39324015,39379363,39432499,39623344,39660670,39761564,39811497,39820514,39890676,40012243,40502885,40542350,40545116,40559776,40568954,40610409,40775140,40805798,41165114,41196283,41246899,41313794,41420742,41798923,41945616,41997499,42194923,42302013,42350522,42552764,42632777,42886364,42952374,43055825,43197973,43219676,43536598,43685899,43779309,43785336,43846660,44107017,44356445,44565523,44576262,44837899,44881916,45295854,45551563,45629748,45698821,45707234,46074070,46117843,46188069,46283234,46426844,46583528,46738445,47043789,47087036,47188818,47196956,47378203,47488900,47544245,47592804,47824099,47855804,47982056,48075164,48182443,48345725,48603462,48650820,48699101,48766723,48930168,48995899,49189309,49258503,49409323,49612805,49716284,49959043,50075528,50316523,50422363,51023996,51048845,51076228,51145099,51287885,51445123,51478099,51538669,51666990,51674443,51812020,51894208,51932203,51941428,52090963,52118225,52125400,52201509,52329722,52406469,52615992,52617283,52652156,52708003,52963989,53005723,53151883,53209843,53227734,53260809,53324899,53353483,53625596,53733317,53979813,53991043,54057404,54151099,54273116,54282499,54386323,54565243,54645829,54646754,54821877,54919484,54940136,55046439,55111456,55245643,55288884,55301590,55367081,55519963,55631203,55632776,55718899,55826899,55848283,55886876,55917845,55933099,55990274,56086134,56140099,56334969,56359483,56644603,56656634,56658100,56825683,56853933,56958716,56986680,57016328,57053094,57166243,57196149,57246883,57451514,57672573,57800923,57978554,58014870,58050763,58120099,58134044,58219243,58250200,58282099,58296957,58342363,58380984,58397576,58427899,58453916,58516099,58549363,58625645,58641075,58698403,58705099,58774003,58823899,58829083,58853923,58962499,58972723,58975099,58987843,58993243,58994899,59007499,59013043,59114041,59192991,59199164,59416034,59518076,59535366,59589605,59656685,60785792,61132713,61258614,61377316,61447533,61503526,61545462,61711390,61801737,61807653,61857914,61882528,61984994,62000388,62174424,62195140,62541870,62550480,62586873,62783709,63110761,63217436,63366350,63405725,63534309,63600693,63637724,63748994,63984885,64110015,64125334,64143369,64300893,64744322,65097245,65115194,65284030,65522684,65531475,65678607,65697273,65820100,65861213,66044444,66343805,66361908,66711328,66720512,67101414,67293404,67554554,67920350,67989720,68019836,68250544,68384016,68657825,68729289,68769005,68848124,68876945,69272518,69346274,69364616,69448841,69617844,69900240,69946227,70350774,70369290,70597833,70725128,70858473,71337722,71507526,71588022,71863909,71935964,72038396,72190329,72522368,72550076,72761576,72966040,73104262,73151825,73265084,73287554,73626670,73627322,73987053,74053668,74202040,74487164,74527034,74560256,74634168,74643821,74692805,75050244,75060576,75232769,75300333,75306722,75468776,75736617,76039620,76086870,76189154,76210556,76408322,76488435,76781862,76932018,76970045,77493128,77743653,78035193,78065470,78116694,78126776,78340836,78637770,78714933,78781154,78984120,79095830,79529564,79565769,79600697,79612566,79629596,79700109,79836674,79941434,80060973,80129276,80193373,80528444,80800053,80822014,80827484,81043197,81108928,81126236,81159328,81187322,81402181,81504420,81587664,81690873,81856773,82086795,82196456,82219196,82318364,82343885,82389390,82516604,82522806,82637045,82652334,83009861,83017274,83176809,83243446,83347593,83477295,83517314,83716322,83791977,83829885,83880288,83963439,84203528,84249728,84355325,84408314,84443148,84448630,84688796,84902373,85190522,85384634,85769084,85837353,85867394,86621037,86650076,86938048,87040796,87179769,87219286,87388034,87559248,87681880,87702909,87742437,87782190,87862180,87882016,87892623,87918044,88022974,88079825,88112636,88321389,88352004,88400998,88501436,88850200,88857135,88945773,89042448,89071433,89418544,89631366,89690234,89693285,89698037,89839293,89858204,90065213,90158230,90893105,91112444,91247544,91304244,91304924,91385686,91401116,91607620,91641722,91699845,91786122,92160485,92364054,92471013,92505722,92588073,92670333,92840936,93143869,93262900,93634336,93678564,93684934,93774722,94161128,94190522,94355834,94365324,94462364,94642629,94728969,94744145,94780944,94842716,94914996,95058845,95103753,95127644,95314445,95479016,96415109,96766394,96831164,96909909,96924885,97148885,97451528,97545833,97722375,97805304,97813168,98048357,98504154,98560509,98642115,98711804,98812662,98867268,98899322,98960740,99164454,99212630,99223325,99487994,99633722,99834044,99956475,...,29032481368229971259270111913742969181888154320289740226528661106396094790046587238021359217889852676911436013748334947813298278137443599407084645253029612809500761636726736803822278015663013505859320148897226668966392142975841418033270629347791865198617680851848177463396854883883555841807277923461454946081178773788019952834137183183045704269693482860170596986721403247035391209200157621036067429063613710433812780103498045834801575593904056089224620275150851196919073820633315258355696220381065517251758635209612523891017117648020455483063461743818444028149960525721662166411164850737273507195649178682069104499516049636703163128959237978800372205692484083204747646125252299942116063945324841607813038794642573789631802090089142981618949211923506495672200782601569659299812886437871008405291609927859085724762211415364893183767806272137243431720691169816146146465284999486754115163227979676891178350417060675411960461448641785475851699368554241917916079839428286018626665691190729433446391101918431089819479228537067789338745523662923200262784936801134854668438614814521256921997596443386208480343566079705304799136485312382653089024417986993589293561275495096194358280529751208792678333128882770856700852485876490349794633451485179210902731761498304648344723554790819854405970380876947780878989498361713129347894259143851394412235923396232018120333019804152157176970565271846703553248764765192979582536300438219958922093585207320110992761249382114357225210598578588170991200958440727805401896481115513264573656143584134640708401505028830984215122105973631661228627386044855913974393022616934801228305018389112658454781016341774967936837637183520189991503677329417519124843937215677875792123483299849657559597208822056353365888027231229475241233984771569220628308064017551335840162681563836053076122538847521304256354308747731516022611681144259768442672437109647225776355323863239225998212626750705558877489140519036865004345004262152321088583023183361555459331796420964967496958256620181352045214165884272079712201168318710889116161809595105568031434370845744398803200190303519888848897699819824349128657712945982337049790414362904202594289102686045725768364751915671337335162156431103801570011497403074444002574422044436808544185612811043341567947779565036353064778662991250327437976652383162654017701432307047791532760732123825917123303406707144763481082124692154075744046390774447827620134662235449518485494758264478469256168852668825604}
15365  1353659764728777985804774702768654401449866829154266386063172576: {61444,122872,138231,598611,844195,1013034,1425783,1504202,1976151,2148860,2222995,2375995,2578632,2667594,2851194,2900961,3069800,3111787,3140395,3348291,3453525,3598555,3683760,3768474,3878743,3929344,4056355,4144230,4318266,4420512,4430659,4445410,4583371,4666195,4715031,4867626,4951267,4973076,5334492,5427595,5579755,5599434,6318487,6339955,6513114,6695706,6795595,6906163,7402555,7432311,7552267,7573514,7597639,7607946,7705795,7756474,7913719,7935242,8103751,8154714,8860162,8883066,9026410,9218426,9246954,9512587,9672955,9873164,10127991,10213771,10541011,10668979,10831692,10853770,10932483,11266519,11336060,11607546,12268983,12347114,12686155,12816716,12873187,13024524,13136755,13169180,13552604,13589410,13603272,13662007,13942423,13963159,14104520,14341082,14731106,14925783,15085195,15130711,15145052,15223386,15303681,15334867,15718611,15764106,15803016,15852619,15867585,15982195,16307292,16415827,16475251,16877755,16896362,16925424,17035671,17113226,17136727,17324995,17579324,17659291,17778393,17838634,18038714,18069595,18102234,18439339,18637291,18944563,19041102,19178634,19392771,19653591,19743752,19947370,20144012,20253306,20297395,20487260,20506267,20721722,20789994,20838907,20889955,20895116,20907019,21272119,21333955,21521642,21683514,22211721,22273159,22932019,22935176,23086867,23101052,23106355,23190379,23936844,24043159,24054483,24069751,24137660,24248354,24356874,24447802,24584712,24929564,24937543,25067946,25113320,25600746,25630088,25636651,25802073,26047555,26138947,26442525,26542999,26777612,27101672,27166699,27657801,27723379,27727626,27732871,27881194,27885783,27898519,28205360,28252485,28678412,28777160,28833849,28853914,28960844,28965192,28995746,29129431,29438779,29602460,29612282,29656459,29667667,29867170,29884954,30135984,30209443,30489381,30574795,30585345,30665722,31166931,31257066,31366634,31446595,31731030,32169171,32171995,32186803,32279804,32311771,32374305,32585841,32624368,32634524,32705251,33183883,33332227,33407402,33593863,33666051,33733639,33749852,33846432,33888259,33902982,34347370,34486555,34532592,34670426,34798051,35307571,35402583,35404843,35489804,35522952,35840604,36143571,36411125,36503395,36689754,36702414,37116343,37269706,37374231,37644763,37735914,37795795,37918570,38077236,38172763,38189131,38312169,38354871,38499067,38512412,38606394,38722231,38755123,38809570,38849166,38864085,38895242,39094088,39963321,40513555,40760474,40760587,40969160,41035676,41216844,41383866,41455024,41653555,41672362,41861282,41984299,42303260,42313207,42361754,42366370,42648955,42813897,42862531,42997845,43072186,43192994,43655564,43658263,43693350,43784155,43804074,43816087,43926483,43980849,44350795,44644791,44775355,44962423,45199555,45354954,45407432,45500971,45502284,45609725,45623395,45837651,45864368,45939619,46038993,46090305,46571484,46590643,46606240,46636902,46906652,47315155,47596555,47694523,47724860,47917832,48072619,48132547,48222524,48490364,48541603,48580195,48616266,48678679,49069724,49162992,49274563,49529180,49701955,49863345,49868554,49873651,49889287,49984266,49997132,50507959,50681395,50699720,50763912,50839644,50968925,51083361,51097879,51178746,51249067,51488211,51597414,51865123,52066411,52432020,52540986,52745251,53081996,53187568,53190955,53220954,53607955,53730426,53907561,54024595,54036471,54147212,54239466,54296419,54402621,54496983,54731670,54748074,54808325,55227656,55308366,55668019,55927488,56102395,56402684,56494346,56702707,56778186,56903299,57037185,57109401,57115866,57269832,57351883,57754922,58033555,58229410,58296234,58296691,58351939,58372412,58380448,58525186,58602711,58809356,58858795,58996195,59361125,59435016,59491005,59642346,59653274,59671274,59719226,59730771,59751274,59819755,59836014,59977570,60093955,60385627,60394472,60557779,60694039,60813525,60817674,60839664,60853431,61162710,61208697,61584092,61747671,61884487,61893379,61970691,62017826,62131113,62145355,62594410,62725052,62853034,62918424,63115243,63457072,63525783,63666379,63706522,63779995,63780571,63829146,63845285,64329546,64362506,64428561,64765025,64804616,64829514,64867760,64926785,65156750,65240224,65304897,65317219,65608531,65623027,65678004,65769990,65815195,65932579,65974123,66035179,66359074,66756979,66864393,67031995,67246411,67322874,67458442,67571755,67806487,67841395,67943781,68360929,68444622,68560851,68600887,68649355,68675170,68889320,69062234,69111105,69424851,69459739,69540970,69602012,69640266,69858595,69875292,70154656,70618652,70630554,70749943,70783227,70795434,70822625,70970312,70973047,71014412,71198395,71233350,71270410,71389206,71722771,71783706,71921899,71973084,72112746,72235099,72434839,72667555,72812750,72905193,72976230,72996970,73067395,73095836,73395252,73430743,73437242,73678087,73718512,73842394,73998955,74397595,74530651,74574426,74781512,74887219,74976826,75113292,75369751,75654122,75805244,75839863,75982240,76040266,76070792,76261532,76474519,76535994,76614342,76721645,76896764,77058547,77353160,77500485,77718030,77729276,77743925,77841312,77912142,77939563,78188100,78241226,78494583,78923988,78978234,79021795,79149946,79380488,79547155,79642519,79841601,79904467,80048714,80438394,81002059,81086106,81235819,81308443,81409674,81510284,81601603,81678152,81903355,81930044,81970131,82060616,82170583,82275125,82379226,82390987,82402316,82410204,82555555,82667184,82899232,82933326,82952385,83052554,83387722,83389160,83400640,83449164,83544139,83704843,83711612,83800051,83830314,83985411,84116755,84129201,84500659,84712412,84800924,84984951,84987150,85024795,85270087,85305379,85313180,85322743,85438074,85480020,85524492,85579641,85586522,85734524,86060155,86177271,86489107,86705770,86967831,87022305,87120343,87177434,87201066,87355627,87375300,87571476,87596364,87680874,88152163,88406410,88482544,88798746,89124051,89234914,89241763,89247586,89261194,89277114,89303049,89468552,89919955,90030434,90047995,90463226,90605642,90652960,90661219,90687595,90885641,90951970,91026811,91178688,91207550,91581355,91639052,91887921,92065974,92128519,92255289,92318193,92441659,92567085,92752550,92786871,92823792,92852023,92977491,93000582,93108955,93200320,93256651,93261636,93292710,93506359,93679819,93801032,93812805,93825720,93936043,94130444,94335970,94477964,94498762,94826154,95049525,95263195,95343368,95350519,95450696,95456586,95530519,95623491,95951287,96188001,96253772,96445267,96866410,97116483,97213411,97339243,97532083,97658470,97672791,97788439,97926045,98216131,98284026,98465719,98649404,98730150,98738224,99066666,99398563,99411955,99512224,99536995,99542862,...,43548722052344956888905167870614453772832231480434610339792991659594142185069880857032038826834779015367154020622502421719947417206165399110626967879544419214251142455090105205733417023494520258788980223345840003449588214463762127049905944021687797797926521277772266195095282325825333762710916885192182419121768160682029929251205774774568556404540224290255895480082104870553086813800236431554101143595420565650719170155247068752202363390856084133836930412726276795378610730949972887533544330571598275877637952814418785836525676472030683224595192615727666042224940788582493249616747276105910260793473768023103656749274074455054744693438856968200558308538726124807121469187878449913174095917987262411719558191963860684447703135133714472428423817885259743508301173902354488949719329656806512607937414891788628587143317123047339775651709408205865147581036754724219219697927499230131172744841969515336767525625591013117940692172962678213777549052831362876874119759142429027939998536786094150169586652877646634729218842805601684008118285494384800394177405201702282002657922221781885382996394665079312720515349119557957198704727968573979633536626980490383940341913242644291537420794626813189017499693324156285051278728814735524691950177227768816354097642247456972517085332186229781608955571315421671318484247542569694021841388715777091618353885094348027180499529706228235765455847907770055329873147147789469373804450657329938383140377810980166489141874073171535837815897867882256486801437661091708102844721673269896860484215376201961062602257543246476322683158960447491842941079067283870961589533925402201842457527583668987682171524512662451905256455775280284987255515994126278687265905823516813688185224949774486339395813233084530048832040846844212861850977157353830942462096026327003760244022345754079614183808271281956384531463121597274033917521716389652664008655664470838664532985794858838997318940126058338316233710778555297506517506393228481632874534775042333188997694631447451245437384930272028067821248826408119568301752478066333674242714392658352047151556268616598204800285455279833273346549729736523692986569418973505574685621544356303891433654029068588652547127873507006002743234646655702355017246104611666003861633066655212816278419216565012351921669347554529597167994486875491156964978574743981026552148460571687299141098185738875684955110060717145221623187038231113616069586161671741430201993353174277728242137396717703884253279003238406}
15366  1359712216538762023902778598905287783719931584163255274955821813: {76805,92166,107513,153590,184308,260933,567173,719993,798148,811589,903113,1025033,1207673,1350712,1359653,1481093,1519551,1572089,1632713,1901044,2116553,2256303,2267333,2538233,2628389,2634868,2686075,2718473,2928389,3083126,3223290,3436553,3438176,3466373,3556792,3801592,3837250,3867948,3991046,4001391,4172198,4268489,4276791,4416389,4464388,4604700,4711589,4911680,5024632,5240933,5299589,5525640,5652711,5738489,5757688,5796086,5894016,5942693,6117413,6216345,6262793,6286708,6477399,6490168,6610889,6630768,6668115,6872198,7051046,7112656,7130873,7246073,7301439,7418633,7459614,7465912,7762889,7764998,7943126,8001738,8399151,8419493,8476646,8675273,8684152,8845433,8927608,8958713,9043589,9128393,9362966,9466889,9607589,9769671,9909748,10028489,10043559,10143928,10391813,10421798,10642553,10725989,10809353,10872952,11280389,11360271,11411919,11634711,11776613,11844088,11902863,11968889,12051173,12232071,12329272,12341455,12516089,12706853,12842873,13276793,13290243,13324599,13411973,13503988,13539615,13654793,13827639,13870431,13913798,14058053,14170075,14325893,14442256,14576644,14619593,14809746,14885753,15204089,15466406,15476728,15916133,15994889,16020895,16247538,16280655,16358644,16461475,16908389,16940755,17004090,17167589,17219333,17275783,17296889,17366032,17411319,17518406,17630650,17760713,18017273,18068489,18137696,18197798,18520671,18874886,18931315,19043798,19136633,19225074,19536786,19539833,19753770,19901044,19965989,20068279,20215589,20290313,20297848,20328906,20384115,20404908,20588489,20638073,20662853,20712389,20958148,21018808,21070688,21156780,21511623,21525113,21623033,21726806,21743056,21974155,22096659,22110713,22135013,22426327,22474373,22557686,22567232,22714228,22715813,22717578,22835079,22860293,23196293,23625989,23646159,23704524,23713963,23792393,23863589,23879606,24044198,24115663,24136312,24289253,24460938,24679690,25180015,25202633,25342073,25344543,25388136,25458053,25571512,25609075,25669839,25857028,26118895,26149733,26204788,26368986,26720633,26757951,27004408,27038153,27058071,27060773,27144086,27153351,27173753,27331589,27467366,27511493,27719992,27847433,28112198,28270373,28496611,28546322,28561653,28668970,28734473,28767951,28876315,28911352,28998089,29041913,29391353,29615628,29695433,29760389,29921055,30172075,30216018,30350966,30379959,30405989,30662213,30730890,30938489,31044389,31082583,31107833,31161955,31184991,31342674,31391650,31612793,31738313,31821833,31884389,31915792,31926053,32037610,32072644,32282463,32475832,32525271,32608889,32752613,32779616,33283013,33423928,33472015,33656198,33828089,33877090,33968453,34134328,34207327,34267913,34327589,34387193,34402764,34486373,34651578,34723589,34959653,35077253,35155493,35256700,35369993,35848015,35905266,35950073,35971450,35978198,36026873,36131846,36201055,36206490,36237413,36273146,36372531,36535311,36655589,36671703,36693413,36744998,36877068,36970168,37003075,37181044,37275593,37312889,37394346,37443173,37601919,37669980,37923653,38267798,38401119,38445132,38598089,38620256,38652293,38958089,39011813,39083333,39403589,39439013,39456713,39731503,39926246,40018889,40071173,40131322,40166418,40181312,40331513,40349755,40375526,40652508,40744313,40780460,40793155,40795589,40811122,40965989,41121446,41169413,41220089,41270198,41270693,41522633,41555908,41591439,41676088,41756153,41805989,41821791,41855753,41928103,42021113,42159686,42187315,42218489,42308040,42544889,42892228,42980453,43017618,43165740,43235813,43280871,43425989,43441266,43447788,43493619,43630646,43709093,43787273,44069126,44214998,44313593,44360726,44362255,44403690,44418423,44436089,44542853,44800755,44827431,44860793,44888068,44890889,44935973,45040889,45128576,45203976,45219833,45559589,45665798,45822533,45998583,46039673,46043456,46140389,46383353,46539122,46567589,46885599,47015333,47049951,47203444,47263589,47363936,47400389,47468489,47563493,47596545,47787472,47846153,48006089,48072389,48140515,48191428,48225034,48309413,48324199,48419706,48524198,48621413,48660089,48788489,48867610,48919672,48936552,48941513,48951786,48979589,49017593,49088966,49319033,49750373,49786889,49832308,49871813,50004473,50111103,50148089,50314552,50384191,50478713,50624778,50630198,50711033,50769648,50854473,51082892,51139828,51186326,51211450,51222053,51294595,51300089,51324998,51333413,51463526,51465989,51475192,51487973,51521055,51651833,51798888,51818780,51878213,51952889,52005639,52237253,52351433,52392713,52423589,52454393,52808453,52845163,52848293,52879075,52996553,53025989,53220389,53234706,53284428,53335493,53387798,53760906,53784389,53811833,53893733,53983973,54010889,54068198,54170873,54188489,54293513,54380153,54428407,54534089,54569455,54784889,54883193,54955792,54972293,55034631,55052453,55053621,55163333,55178488,55241573,55264889,55403273,55524938,55583753,55737893,55860089,55904559,55944953,56035589,56292773,56338889,56351993,56436389,56487653,56603871,56704039,56718089,56759290,56877855,56914373,56995013,57012089,57085196,57113033,57115854,57162533,57178889,57216773,57259589,57275513,57296633,57330460,57374693,57439063,57553483,57564389,57696773,57737993,57768618,57774089,57896393,57909591,57967589,57979913,58008389,58040453,58068089,58099193,58133573,58206326,58214355,58236389,58254089,58257800,58273749,58288889,58295753,58299173,58342863,58405432,58413833,58486793,58530053,58557893,58568644,58579589,58633315,58641132,58651493,58663673,58692089,58721573,58730198,58782473,58813193,58834889,58860806,58879493,58887113,58916933,58957733,58965989,58978313,58990073,58990853,58994633,59007173,59010533,59016389,59017253,59022713,59026553,59026889,59027333,59526388,59656075,59897290,60278155,60473272,60612955,60669712,61116868,61140711,61314998,61337155,61385324,61453740,61553514,61825046,61825266,61911475,62075799,62095312,62099023,62182536,62459366,62496415,62508543,62712086,62791923,63090086,63215798,63374650,63454890,63503011,63542631,63549555,64503698,64608279,64789491,64821688,65207606,65433823,65483346,65540025,65550656,65706111,66352495,66484460,66561943,66645688,66798806,67684015,67685216,67786192,68032431,68111148,68238328,68246006,68253426,68529439,68604566,68650948,68796552,69034570,69436166,69457927,69857226,69909360,69955353,70054648,70359978,70503355,70961272,71078198,71468383,71542166,71587290,71640568,71803039,71876748,72048628,72319288,72333786,72536828,72662644,72735546,72806198,72924399,72965515,72975560,72997432,73488326,73511695,73604586,73609591,73744488,74293770,74569984,74802831,74948486,74976399,74995698,75493090,75704248,75724646,76049580,76145868,76154488,76259466,76359776,76712198,76768119,76980115,77255798,77396121,77422226,77728312,77835979,77903366,78136948,78225206,78284983,78406315,78648030,78758726,78811479,78864998,79246688,79321340,79523128,79622994,79641028,79781352,79831431,80024486,80595639,81005770,81084700,81090232,81119552,81137908,81220818,81359199,81550280,81611596,82075903,82097505,82122111,82330228,82392566,82493798,82627588,82841484,82962549,83425447,83519359,83597846,83891232,83994998,84083683,84389846,84604026,84701044,84741519,85105528,85167279,85265554,85673799,85772728,85904748,86111650,86395946,86439352,86632383,87002515,87073196,87344115,87371798,87444351,87558618,87570672,87693320,87787779,88214034,88273315,88712890,88734679,88768015,89131046,89152524,89463519,89479911,89506911,89578839,89626911,89675798,89754021,89763832,89966355,90591708,91103126,91136143,91226511,91259496,91369795,91397642,91414468,91744065,92148140,92235686,92376138,92566468,92775727,92853688,92881327,93026739,93167056,93476890,93891615,94073551,94087578,94174072,94279551,94377636,94393912,94756406,94756555,94977800,95088490,95185608,95326915,95559783,95648198,95711608,95743719,95964112,96120955,96150328,96276607,96364886,96427723,96494319,96543759,96691450,97161595,97206924,97244271,97301640,97398202,97533446,97735125,97860336,97991798,98102563,98378618,98517006,98654985,98818646,99225610,99432568,99538611,99918086,...,65323083078517435333357751805921680659248347220651915509689487489391213277604821285548058240252168523050731030933753632579921125809248098665940451819316628821376713682635157808600125535241780388183470335018760005174382321695643190574858916032531696696889781916658399292642923488738000644066375327788273628682652241023044893876808662161852834606810336435383843220123157305829630220700354647331151715393130848476078755232870603128303545086284126200755395619089415193067916096424959331300316495857397413816456929221628178754788514708046024836892788923591499063337411182873739874425120914158865391190210652034655485123911111682582117040158285452300837462808089187210682203781817674869761143876980893617579337287945791026671554702700571708642635726827889615262451760853531733424578994485209768911906122337682942880714975684571009663477564112308797721371555132086328829546891248845196759117262954273005151288438386519676911038259444017320666323579247044315311179638713643541909997805179141225254379979316469952093828264208402526012177428241577200591266107802553423003986883332672828074494591997618969080773023679336935798057091952860969450304940470735575910512869863966437306131191940219783526249539986234427576918093222103287037925265841653224531146463371185458775627998279344672413433356973132506977726371313854541032762083073665637427530827641522040770749294559342353648183771861655082994809720721684204060706675985994907574710566716470249733712811109757303756723846801823384730202156491637562154267082509904845290726323064302941593903386314869714484024738440671237764411618600925806442384300888103302763686291375503481523257286768993677857884683662920427480883273991189418030898858735275220532277837424661729509093719849626795073248061270266319292776465736030746413693144039490505640366033518631119421275712406922934576797194682395911050876282574584478996012983496706257996799478692288258495978410189087507474350566167832946259776259589842722449311802162563499783496541947171176868156077395408042101731873239612179352452628717099500511364071588987528070727334402924897307200428182919749910019824594604785539479854128460258362028432316534455837150481043602882978820691810260509004114851969983553532525869156917499005792449599982819224417628824847518527882504021331794395751991730313236735447467862115971539828222690857530948711647278608313527432665091075717832434780557346670424104379242507612145302990029761416592363206095076555826379918504857609}
15367  1365791514944920354646045790528099847189776727190306618473460904: {122888,138249,230385,245744,276462,997685,1181873,1197222,1688390,2026068,2376305,2851566,3008404,3112193,3293585,3326393,3952302,4297720,4396553,4445990,4583969,4624689,4751990,4834935,4951913,5037977,5157264,5335188,5533769,5580485,5678897,5702388,5755875,5801922,5986569,6139600,6223574,6234833,6258297,6280790,6532673,6696582,6907050,7197110,7243049,7367520,7536948,7598633,7757486,7811657,7858385,7858688,8073113,8112710,8161829,8288460,8440769,8636532,8694129,8841024,8861318,8875937,8890820,9166742,9332390,9352577,9430062,9513833,9631877,9735252,9902534,9946152,10308297,10363577,10576569,10668984,10788113,10855190,10918169,11159510,11189417,11189421,11198868,11267993,11647497,11914689,11924153,12002607,12387185,12636974,12679910,12714969,13026228,13026257,13275713,13314977,13391412,13542137,13591190,13760993,13812326,14044449,14805110,14864622,15104534,15147028,15195278,15215892,15411590,15512948,15632697,15827438,15854693,15870484,16207502,16281353,16309428,16477409,16879985,17138969,17547953,17717633,17720324,17760617,17766132,18052820,18220805,18391457,18436852,18493908,18958757,19025174,19345910,19746328,20255982,20427542,20448305,20508953,20608673,20870697,21082022,21119273,21337958,21663384,21707540,21864966,22214619,22276073,22375073,22389029,22533038,22672120,22918769,23193413,23199609,23215092,23266793,23541857,23628857,24254993,24321617,24371307,24537966,24694228,24876305,25139777,25297433,25372310,25506135,25633432,25640009,25746374,25802969,26049048,26197685,26248673,26273510,26277609,26338360,26445975,27025013,27101477,27105208,27178820,27206544,27241049,27296697,27324014,27884846,27926318,27941633,28209040,28241573,28312329,28392785,28416353,28565697,28682164,28837611,29245937,29305179,29462212,29630655,29671553,29851566,29867537,29958197,30170390,30261422,30290104,30446772,30493359,30607362,30669734,30874817,30984953,31437222,31528212,31606032,31705238,31713713,31735170,31964390,32321285,32348897,32590209,32614584,32755985,32831654,32950502,32970977,33336593,33755510,33792724,33836529,33850848,34071342,34076367,34226452,34273454,34462133,34540169,34649990,34802609,34958369,35158648,35318582,35556786,35677268,35702069,35819409,36066297,36077428,36105929,36139190,36204468,36466577,36691407,36878678,37019535,37274582,37836977,37875113,37889126,38038949,38082204,38357268,38785542,39015833,39307182,39487504,39553479,39894740,40034849,40085393,40090805,40288024,40506612,40550117,40594790,40716129,40974520,41012534,41201049,41443444,41579988,41677814,41779910,41790232,41814038,41916473,42083177,42168297,42544238,42667910,42804713,42819483,42872933,43003455,43028369,43043284,43367028,43747553,43864769,44025233,44070875,44423442,44448857,44546318,45040793,45324027,45526449,45801509,45864038,45870352,46096335,46173734,46202104,46212710,46380758,46476305,46922249,47014011,47087475,47873688,48056415,48086318,48108966,48139502,48275320,48281177,48496708,48638969,48713748,48895604,49169424,49859128,49875086,50135892,50188613,50226640,50484297,50815635,50975575,51104753,51201492,51260176,51273302,51452033,51596129,51604146,51944885,51977367,52095110,52277894,52765289,52885050,52914113,53085998,53137409,53555224,53615285,53857899,53957175,53967297,54197769,54203344,54292277,54303593,54309735,54333398,54395129,54409719,54671237,54840257,55061669,55117497,55315602,55446758,55455252,55465742,55762388,55771566,55797038,56091519,56110085,56410720,56504970,56589833,56718977,57278369,57356824,57367349,57401697,57554320,57667698,57707828,57921688,57930384,57991492,58030097,58258862,58314977,58866053,58877558,58967429,59004305,59204920,59224564,59312918,59335334,59708537,59734340,59769908,59889369,60196983,60239285,60247673,60249627,60271968,60418886,60563289,60684233,60978762,61149590,61170690,61216683,61267169,61297817,61331444,61475249,61682169,61905297,62091113,62290385,62333862,62514132,62685497,62733268,62893190,63239529,63279377,63462060,63511817,63622277,63853615,63872753,63924785,64338342,64343990,64373606,64526427,64550153,64559608,64623542,64748610,64773475,65161899,65171682,65216873,65248736,65269048,65410502,65445969,65789477,66103689,66241217,66322497,66367766,66503873,66541089,66605535,66635177,66664454,66814804,67187726,67246553,67332102,67467278,67499704,67692864,67776518,67805964,67832549,68004773,68012273,68380937,68498697,68694740,68973110,69065184,69174953,69340852,69582737,69596102,69808683,70013417,70148753,70615142,70805166,70809686,70953953,70978757,70979608,71045904,71078249,71356495,71663075,71681208,72287142,72337551,72629559,72786297,72822250,73006790,73210805,73301415,73378913,73379508,73404828,73427679,73633449,73665497,73669553,73689353,74232686,74407985,74467337,74475257,74539412,74748462,75051137,75289526,75471828,75591590,75634433,75837140,75937167,75945297,76154472,76345526,76378262,76396085,76624338,76669169,76709742,76731655,76779489,76817175,76987497,76998134,77013317,77024824,77193077,77195289,77212788,77444462,77510246,77555609,77619140,77631473,77698332,77728170,77790484,78188176,78230597,78543353,79141193,79653233,79852059,79926642,80081697,80641359,81027110,81102297,81246977,81520948,81521174,81938320,82071352,82402313,82433688,82594673,82613093,82767732,82910048,83105575,83287407,83307110,83344724,83613569,83722564,83747657,83968598,84131537,84606520,84621737,84626414,84723508,84732740,85138935,85297910,85352153,85582169,85627794,85673781,85725062,85813685,85995690,86009477,86144372,86385988,86550713,86652927,87003497,87309489,87311128,87316526,87367169,87386700,87568310,87608148,87632174,87852966,87961698,88095297,88139957,88291209,88503077,88701590,89289582,89291993,89383399,89466617,89550710,89628929,89845935,89924846,90060785,90378977,90399110,90531713,90671035,90687017,90709908,90814864,90828305,90897499,91001942,91004568,91219450,91246790,91675302,91728736,91879238,91972497,92077986,92141273,92180610,92330271,92453873,92737569,92737899,93142968,93181286,93212480,93273804,93380153,93478937,93689049,93802313,93813304,93844793,93950009,94068129,94122977,94441913,94600457,94630310,94635129,94823697,94977953,95061975,95182335,95193110,95389046,95449720,95835664,96109097,96145238,96265094,96445048,96755547,96980728,97083206,97110689,97160390,97232532,97357358,97671185,97744769,97802033,97811409,98032049,98139448,98225019,98325984,98518289,98549126,99058360,99151675,99203873,99403910,99551285,99677753,99726690,99737108,99747302,99778574,99968532,99994264,...,87097444104689913777810335741228907545664462960869220679585983319188284370139761714064077653669558030734308041245004843439894834412330798221253935759088838428502284910180210411466834046989040517577960446691680006899176428927524254099811888043375595595853042555544532390190564651650667525421833770384364838243536321364059858502411549549137112809080448580511790960164209741106173627600472863108202287190841131301438340310494137504404726781712168267673860825452553590757221461899945775067088661143196551755275905628837571673051352944061366449190385231455332084449881577164986499233494552211820521586947536046207313498548148910109489386877713936401116617077452249614242938375756899826348191835974524823439116383927721368895406270267428944856847635770519487016602347804708977899438659313613025215874829783577257174286634246094679551303418816411730295162073509448438439395854998460262345489683939030673535051251182026235881384345925356427555098105662725753748239518284858055879997073572188300339173305755293269458437685611203368016236570988769600788354810403404564005315844443563770765992789330158625441030698239115914397409455937147959267073253960980767880683826485288583074841589253626378034999386648312570102557457629471049383900354455537632708195284494913945034170664372459563217911142630843342636968495085139388043682777431554183236707770188696054360999059412456471530911695815540110659746294295578938747608901314659876766280755621960332978283748146343071675631795735764512973602875322183416205689443346539793720968430752403922125204515086492952645366317920894983685882158134567741923179067850804403684915055167337975364343049025324903810512911550560569974511031988252557374531811647033627376370449899548972678791626466169060097664081693688425723701954314707661884924192052654007520488044691508159228367616542563912769062926243194548067835043432779305328017311328941677329065971589717677994637880252116676632467421557110595013035012786456963265749069550084666377995389262894902490874769860544056135642497652816239136603504956132667348485428785316704094303112537233196409600570910559666546693099459473047385973138837947011149371243088712607782867308058137177305094255747014012005486469293311404710034492209223332007723266133310425632556838433130024703843338695109059194335988973750982313929957149487962053104296921143374598282196371477751369910220121434290443246374076462227232139172323343482860403986706348555456484274793435407768506558006476812}
15368  1371897778082467027705646473516130352285106182786023723230743235: {107527,153610,184332,215026,291631,307180,368616,414693,521866,567247,933727,1134346,1207831,1439986,1481287,1596296,1623178,1663231,1795833,1806226,1935607,2050066,2297767,2415346,2532585,2701424,2719306,2748847,2962186,3039102,3144178,3265426,3466831,3760505,3802088,4180207,4233106,4277349,4512606,4534666,4623727,5065447,5076466,5256778,5269736,5372150,5436946,5856778,5928453,6166252,6292687,6446580,6553831,6668985,6873106,6876352,6932746,7113584,7127985,7419631,7603184,7674500,7735896,7982092,8002782,8021407,8107087,8344396,8449087,8536978,8553582,8702883,8832778,8874967,8928776,9209400,9299047,9335361,9421185,9423178,9823360,10044873,10049264,10360575,10481866,10599178,10795665,10810831,11051280,11113525,11305422,11476978,11515376,11592172,11636229,11788032,11805727,11885386,12169065,12234826,12432690,12525586,12573416,12954798,12980336,13116127,13221778,13261536,13278631,13291977,13336230,13521847,13744396,13750113,13925767,13998585,14102092,14145093,14225312,14261746,14492146,14602878,14648287,14837266,14853801,14919228,14931824,15523447,15525778,15529996,15886252,15918367,16003476,16282785,16624687,16739265,16798302,16838986,16953292,17278037,17350546,17368304,17690866,17855216,17917426,18087178,18250087,18256786,18725932,18933778,18933785,18955461,19019865,19215178,19391185,19539342,19819496,19838105,20056978,20087118,20143687,20287856,20386785,20665831,20718489,20783626,20843596,21285106,21451978,21618706,21745904,21772831,22138231,22150405,22207665,22296933,22429253,22560778,22566025,22656801,22719127,22720542,22792917,22823838,23046065,23117385,23223631,23269422,23553226,23688176,23717057,23724607,23741157,23805726,23937778,24102346,24151207,24311253,24434167,24464142,24658544,24682910,24786247,25032178,25413706,25685746,26176567,26503841,26553586,26580486,26588047,26649198,26823946,27007976,27064831,27079230,27134425,27309586,27655278,27740862,27827596,28116106,28340150,28500329,28537761,28651786,28884512,29018865,29153288,29199487,29239186,29619492,29721631,29771506,30383973,30408178,30641313,30763817,30867785,30932812,30953456,31006831,31531753,31623033,31832266,31989778,32006937,32041790,32495076,32561310,32572831,32717288,32797449,32922950,33672487,33677813,33799557,33816778,33881510,33913687,33973525,34008180,34335178,34438666,34511647,34551566,34593778,34689631,34732064,34822638,34866967,35036812,35102407,35252021,35261300,35521426,35685967,35743927,35852705,36034546,36136978,36275392,36319567,36395596,36566453,36806949,36827765,37041342,37727167,37749772,37837831,37862630,38058465,38087596,38273266,38450148,38619561,39073572,39079666,39410265,39463231,39507540,39569287,39802088,39931978,39990631,40095247,40136558,40355527,40426841,40431178,40580626,40595696,40657812,40768230,40809816,40986021,41176978,41276146,41325706,41424778,41779831,41827269,41879407,41889477,41916296,41929087,42037616,42141376,42240905,42313560,42665647,42783065,43023246,43050226,43099807,43246066,43453612,43486112,43626737,43948310,44193318,44221426,44270026,44550607,44596585,44777349,44852654,44948746,44958847,45096785,45115372,45134464,45255585,45392133,45428456,45431626,45435156,45670158,45720586,45845167,45888727,45911043,46004601,46277527,46392586,46405831,46860821,47037631,47155833,47251978,47292318,47409048,47427926,47557857,47572087,47584786,47602755,47727178,47759212,47946585,48088396,48231326,48272624,48578506,48921876,48950527,49247481,49359380,49425753,49514287,49771831,49868425,49881127,50187221,50311831,50360030,50405266,50633265,50681477,50684146,50689086,50732167,50776272,50916106,51107013,51143024,51218150,51339678,51343231,51410181,51672631,51714056,51804305,51834631,51898927,51974985,52237790,52299466,52371967,52409576,52737972,52918231,52977873,53007007,53335179,53441266,53515902,53804105,53913631,53994847,54008816,54076306,54116142,54121546,54208785,54288172,54306702,54347506,54519727,54621247,54663178,54894487,54934732,55022986,55063831,55253047,55299631,55318017,55439984,55573087,55694866,55705927,55911873,56224396,56489657,56506207,56540746,56833689,56874127,56891767,56993222,57064207,57092644,57110417,57123306,57131167,57293527,57309367,57337940,57387487,57463807,57468946,57535902,57596647,57709831,57751087,57752630,57822704,57883927,57947647,57996178,57997327,58033831,58057807,58083826,58178313,58312831,58333207,58440127,58503631,58563607,58627831,58650727,58768231,58782706,58786807,58816327,58903231,58932967,58960773,58972567,59005831,59043631,59043847,59062241,59231256,59390866,59520778,59544953,59842110,60344150,60432036,60620885,60701932,60759918,60811978,60831749,60892185,61119505,61324426,61461780,61518801,61876978,62088778,62107157,62165166,62215666,62323910,62369982,62516721,62669865,62685348,62721057,62783300,63225586,63476626,63643666,63768778,63816357,63831584,63852106,64001865,64075220,64145288,64324481,64564926,64951664,65050542,65217778,65505226,65559232,66566026,66635163,66819477,66847856,66944030,67312396,67396721,67656178,67754180,67882529,67936906,68268656,68414654,68535826,68655178,68774386,68796057,68805528,68972746,69260601,69303156,69319065,69447178,69571137,69702985,69919306,70154506,70310986,70513400,70739986,71696030,71810532,71812433,71900146,71942900,71956396,72053746,72129477,72134785,72163449,72209253,72263692,72402110,72412980,72474826,72489365,72546292,72745062,73070622,73311178,73343406,73386826,73489996,73754136,73940336,74006150,74030705,74362088,74551186,74625778,74667925,74712385,74788692,74812629,74886346,75049013,75203838,75339960,75847306,76397237,76535596,76664305,76802238,76890264,76909953,77196178,77240512,77304586,77406219,77916178,78023626,78142665,78166666,78416585,78416841,78807178,78878026,78913426,79327575,79463006,79628997,79852492,80037778,80142346,80262644,80332836,80362624,80663026,80699510,80751052,80989337,81305016,81488626,81500097,81560920,81586310,81591178,81622244,81931978,82086641,82242892,82338826,82440178,82540396,82541386,82973403,83045266,83111816,83170137,83182878,83198613,83352176,83512306,83518505,83611978,83643582,83657349,83695557,83711506,83856206,84042226,84319372,84374630,84389417,84436978,84616080,84757455,84858137,85089778,85784456,85868425,85872017,85960906,86035236,86331480,86471626,86501547,86561742,86676065,86851978,86882532,86895576,86987238,86993153,87005413,87261292,87388293,87418186,87494981,87574546,88138252,88316337,88429996,88627186,88721452,88724510,88807380,88836846,88872178,88969377,89003001,89085706,89601510,89654862,89721586,89776136,89781778,89871946,90081778,90257152,90407952,90439666,90628329,91119178,91331596,91468143,91645066,91724385,91756035,91997166,92079346,92086912,92280778,92766706,92893493,93078244,93135178,93174265,93500793,93771198,93975881,94030666,94099902,94339785,94406888,94527178,94727872,94757621,94796425,94800778,94936978,95126986,95193090,95574944,95692306,96012178,96144778,96281030,96382856,96450068,96507513,96515985,96560409,96618826,96648398,96839412,96935313,97023925,97048396,97122915,97238105,97242826,97320178,97576978,97735220,97757523,97839344,97873104,97883026,97903572,97959178,98035186,98115753,98177932,98638066,98704697,99174053,99500746,99551649,99573778,99664616,99743626,99996681,...,130646166157034870666715503611843361318496694441303831019378974978782426555209642571096116480504337046101462061867507265159842251618496197331880903638633257642753427365270315617200251070483560776366940670037520010348764643391286381149717832065063393393779563833316798585285846977476001288132750655576547257365304482046089787753617324323705669213620672870767686440246314611659260441400709294662303430786261696952157510465741206256607090172568252401510791238178830386135832192849918662600632991714794827632913858443256357509577029416092049673785577847182998126674822365747479748850241828317730782380421304069310970247822223365164234080316570904601674925616178374421364407563635349739522287753961787235158674575891582053343109405401143417285271453655779230524903521707063466849157988970419537823812244675365885761429951369142019326955128224617595442743110264172657659093782497690393518234525908546010302576876773039353822076518888034641332647158494088630622359277427287083819995610358282450508759958632939904187656528416805052024354856483154401182532215605106846007973766665345656148989183995237938161546047358673871596114183905721938900609880941471151821025739727932874612262383880439567052499079972468855153836186444206574075850531683306449062292926742370917551255996558689344826866713946265013955452742627709082065524166147331274855061655283044081541498589118684707296367543723310165989619441443368408121413351971989815149421133432940499467425622219514607513447693603646769460404312983275124308534165019809690581452646128605883187806772629739428968049476881342475528823237201851612884768601776206605527372582751006963046514573537987355715769367325840854961766547982378836061797717470550441064555674849323459018187439699253590146496122540532638585552931472061492827386288078981011280732067037262238842551424813845869153594389364791822101752565149168957992025966993412515993598957384576516991956820378175014948701132335665892519552519179685444898623604325126999566993083894342353736312154790816084203463746479224358704905257434199001022728143177975056141454668805849794614400856365839499820039649189209571078959708256920516724056864633068911674300962087205765957641383620521018008229703939967107065051738313834998011584899199965638448835257649695037055765008042663588791503983460626473470894935724231943079656445381715061897423294557216627054865330182151435664869561114693340848208758485015224290605980059522833184726412190153111652759837009715218}
15369  1378031124602317279616213713594422182775163076812832508046422750: {230415,245776,276498,322539,383975,460770,491488,552924,782799,1396759,1701519,1995370,2159979,2363746,2394444,2434767,2709339,3075099,3326827,3376780,3623019,4052136,4078959,4443279,4558653,4611019,4716267,4752610,4889951,4898139,5534491,5703132,5993639,6016808,6224386,6349659,6587170,6652786,6768909,6801999,7368439,7614699,7707815,7812679,7885167,7904604,8058225,8155419,8559967,8595440,8785167,8793106,8891980,9022891,9167938,9249378,9503980,9593125,9669870,9903826,9929051,9977615,10075954,10309659,10314528,10399119,10430495,10670376,10765039,11001739,11067538,11160970,11357794,11404776,11511750,11603844,11939147,11973138,12004173,12279200,12447148,12469666,12505819,12516594,12561580,12805467,12830373,13065346,13249167,13316719,13393164,13784399,13814100,14134767,14394220,14486098,14490215,14710027,14735040,14948351,15073896,15197266,15514972,15623314,15689479,15716770,15717376,15722799,15898767,16146226,16225420,16323658,16538219,16576920,16881538,16958133,17180495,17215467,17273064,17342059,17388258,17627615,17682048,17719951,17722636,17751874,17781640,17828079,18190511,18333484,18352239,18649035,18664780,18705154,18788379,18860124,19027666,19241599,19263754,19412495,19432197,19470504,19805068,19832667,19857815,19892304,20004345,20616594,20727154,20744459,21153138,21189199,21191615,21337968,21392619,21544559,21576226,21710380,21738219,21836338,21904317,21942107,22255899,22319020,22378834,22378842,22397736,22535986,22921771,23092919,23288667,23294994,23407415,23496119,23631979,23829378,23848306,24005214,24324799,24774370,25197453,25258479,25273948,25359820,25429938,25509127,25697447,26025819,26052456,26052514,26054495,26536299,26551426,26629954,26782824,26876139,27084274,27130767,27182380,27385179,27497119,27521986,27624652,28088898,28400667,28627627,28822767,28888807,29137067,29309013,29610220,29729244,30085467,30130677,30209068,30294056,30390556,30431784,30823180,31021159,31025896,31175439,31265394,31438871,31564111,31654876,31709386,31717867,31740968,31927659,32177967,32193967,32415004,32428059,32562706,32618856,32853887,32954818,33759970,33841167,34080813,34235757,34277938,34466647,34784495,34826827,34904133,35095906,35329839,35435266,35440648,35521234,35532264,35708589,35906667,36105640,36153519,36441610,36676759,36696213,36782914,36873704,36935711,36987816,37024365,37369291,37548267,37782107,37917514,38035079,38050348,38120559,38528619,38666015,38691820,39492656,39590567,39749899,39830379,39870729,39973797,40235919,40511964,40618845,40855084,40896610,40964379,41017906,41214559,41217346,41482917,41611293,41710427,41741394,42164044,42174159,42238546,42324299,42510225,42675916,42690527,42873767,42977679,43326768,43415080,43605931,43729932,43796015,43858779,43961179,44076625,44429238,44552146,44657259,44750146,44778058,45066076,45249799,45320719,45344240,45494495,45612267,45829687,45837538,45858379,46171439,46386826,46399218,46430184,46533586,46603007,47034139,47083714,47187215,47257714,47267999,47609495,47748399,47984667,48062685,48509986,48643234,48742614,48841965,49075932,49227767,49384425,49388456,49752610,49898879,50279554,50594866,50725167,50744620,50822265,51012270,51266864,51280018,51492748,51502767,51605938,51657999,51827349,51890667,52098096,52233957,52395370,52497346,52547020,52555218,52676720,52891950,53282139,54050026,54051819,54202954,54205467,54210416,54317015,54357640,54413088,54482098,54593394,54648028,55453567,55562013,55769692,55852636,55883266,56127127,56394215,56418080,56483146,56624658,56785570,56793945,56832706,57131394,57364328,57409899,57675222,58491874,58610358,58619499,58924424,59261310,59343106,59699015,59703132,59735074,59897967,59916394,60110495,60204837,60340780,60373367,60522844,60580208,60646767,60692251,60870939,60893544,60986718,61152345,61214724,61339468,61699225,61749634,61765467,61914219,61969906,61988559,62137167,62289967,62874444,63055007,63056424,63212064,63410476,63427426,63470340,63719639,63928780,64052351,64435967,64534869,64575339,64642570,64697794,64869099,65066827,65180418,65229168,65492491,65511970,65663308,65791471,65901004,65922465,65941954,65975327,66289977,66332139,66405039,66673186,67009967,67278981,67423119,67511020,67585448,67673058,67701696,67860215,68142684,68147439,68152734,68452904,68505237,68546908,68580879,68640119,68668415,68853851,68924266,68974559,69080338,69299980,69588879,69605218,69916738,70280495,70317296,70637164,70877967,70938477,71090347,71113572,71141889,71322079,71354536,71365805,71377179,71404138,71590767,71638818,71672425,71825759,72132594,72154856,72211858,72278380,72346989,72408936,72652567,72722839,72867759,72933154,73382814,73482839,73757356,74039070,74549164,74566619,75061399,75540045,75542687,75607899,75673954,75750226,75778252,75877415,76026219,76033629,76077898,76164408,76374159,76495067,76714536,76759307,76827225,77009517,77571084,78031666,78137599,78356685,78397451,78449199,78479125,78554119,78614364,78700751,78975008,79106958,79329199,79473199,79789480,80069698,80094025,80161899,80170786,80181610,80273853,80296667,80576048,81013224,81100234,81114459,81174213,81182319,81189580,81432258,81460053,81521259,81949040,81994767,82025068,82402098,82534479,82606027,82886888,83001739,83043179,83159976,83355628,83542299,83559820,83580464,83628076,83832946,83910311,84001567,84140495,84166354,84334999,84336594,84692725,84811119,85088476,85335820,85489833,85609426,85638966,85684959,85745866,86006910,86056738,86086568,86203419,86303853,86628945,86734056,86994267,87125739,87206539,87495106,87729538,87756439,88050466,88141750,88174059,88846884,88897714,89086299,89092636,89281167,89395061,89494699,89763165,89928625,89945495,90081586,90329615,90516225,90648054,90682865,90772699,91052898,91139877,91217967,91237067,91603018,91728076,91740704,91862495,91986639,92192670,92347468,92404208,92425420,92761516,92815467,92952610,93133167,93247749,93281399,93323499,93392491,93485865,93554973,93844498,94028022,94135639,94174950,94838379,95214939,95376347,95465499,95653167,95669495,95747376,95778159,96112830,96128239,96172636,96217932,96279004,96550640,96562354,96847389,96993416,97247051,97277938,97427496,97463159,97575813,97791208,97826667,98257839,98338848,99718256,99750172,99815615,99849039,99899093,...,195969249235552306000073255417765041977745041661955746529068462468173639832814463856644174720756505569152193092801260897739763377427744295997821355457949886464130141047905473425800376605725341164550411005056280015523146965086929571724576748097595090090669345749975197877928770466214001932199125983364820886047956723069134681630425986485558503820431009306151529660369471917488890662101063941993455146179392545428236265698611809384910635258852378602266186857268245579203748289274877993900949487572192241449370787664884536264365544124138074510678366770774497190012233548621219623275362742476596173570631956103966455371733335047746351120474856356902512388424267561632046611345453024609283431630942680852738011863837373080014664108101715125927907180483668845787355282560595200273736983455629306735718367013048828642144927053713028990432692336926393164114665396258986488640673746535590277351788862819015453865315159559030733114778332051961998970737741132945933538916140930625729993415537423675763139937949409856281484792625207578036532284724731601773798323407660269011960649998018484223483775992856907242319071038010807394171275858582908350914821412206727731538609591899311918393575820659350578748619958703282730754279666309861113775797524959673593439390113556376326883994838034017240300070919397520933179113941563623098286249220996912282592482924566122312247883678027060944551315584965248984429162165052612182120027957984722724131700149410749201138433329271911270171540405470154190606469474912686462801247529714535872178969192908824781710158944609143452074215322013713293234855802777419327152902664309908291058874126510444569771860306981033573654050988761282442649821973568254092696576205825661596833512273985188527281159548880385219744183810798957878329397208092239241079432118471516921098100555893358263827137220768803730391584047187733152628847723753436988038950490118773990398436076864775487935230567262522423051698503498838779328778769528167347935406487690499350489625841513530604468232186224126305195619718836538057357886151298501534092214766962584212182003208774691921601284548759249730059473783814356618439562385380775086085296949603367511451443130808648936462075430781527012344555909950660597577607470752497017377348799948457673252886474542555583647512063995383187255975190939710206342403586347914619484668072572592846134941835824940582297995273227153497304341672040011272313137727522836435908970089284249777089618285229667479139755514572827}
15370  1384191673673320807993368283284944686354813503188900947837608812: {168949,215054,307220,368664,414747,430052,583262,614360,628489,691155,737232,829386,1043732,1086229,1134494,1268821,1542169,1633141,1867454,2086921,2268692,2415662,2879972,2962574,2989081,2993055,3192592,3246356,3326462,3526921,3545619,3591666,3612452,3616309,3871214,3973141,4062169,4100132,4220975,4417561,4595534,4771801,4830692,5065170,5264707,5301001,5402848,5438612,5497694,5924372,6002569,6078204,6264469,6288356,6438709,6530852,6933662,7128915,7132789,7305589,7478101,7521010,7604176,8250841,8360414,8466212,8554698,8677621,8847829,9025212,9069332,9102601,9247454,9336579,9525781,9610201,9880755,9979179,10130894,10152932,10282969,10513556,10539472,10744300,10867861,10873892,11114975,11713556,11779849,11856906,11879975,11944729,12027061,12332504,12585374,12764809,12893160,13107662,13189659,13337970,13658581,13746212,13751907,13752704,13865492,13874067,14142421,14227168,14255970,14504805,14839262,14855739,15022729,15113931,15206368,15349000,15471792,15558935,15701975,15964184,16005564,16042814,16214174,16522741,16601307,16688792,16741455,16898174,16913161,17036691,17073956,17107164,17224201,17267625,17405766,17665556,17749934,17857552,17959707,17992775,18073621,18150409,18418800,18533269,18598094,18670722,18704499,18774891,18842370,18846356,19066249,19217881,19393715,19598019,19646720,20046709,20089746,20098528,20281775,20644021,20718361,20721150,20940949,20963732,21198356,21591330,21621662,21678229,21729147,22102560,22117141,22153295,22190041,22227050,22262869,22610844,22795899,22916855,22953956,23030752,23184344,23272458,23330975,23434971,23489929,23575155,23576064,23611454,23770772,24219339,24338130,24469652,24485487,24756335,24865380,24976981,25051172,25146832,25256629,25322307,25604569,25673941,25743241,25909596,25960672,26082387,26157529,26232254,26432281,26443556,26507299,26523072,26557262,26583954,26627811,26672460,26774101,27043694,27137975,27147659,27181909,27488792,27500226,27773347,27851534,27898775,27989749,27997170,28057731,28190089,28204184,28290186,28323289,28450624,28456201,28523492,28541499,28895631,28984292,29050741,29205756,29296574,29443861,29674532,29704501,29707602,29838456,29863648,30415321,30924891,31010567,31046894,31051556,31059992,31090731,31244149,31307401,31535867,31592435,31622581,31699775,31729707,31748149,31772504,31836734,31935961,32006952,32264491,32364339,32565570,32680729,32754507,32987989,33249374,33478530,33568251,33568263,33596604,33677972,33682207,33778441,33803979,33906584,33977975,34199029,34318549,34497289,34530815,34556074,34701092,34736608,34942491,35205769,35241371,35381732,35614261,35710432,35744067,35772459,35834852,35961589,36007821,36134281,36174356,36500174,36513572,36705241,36818569,37012775,37161555,37264799,37324981,37451864,37492489,37761335,37867556,37867570,37910922,37936009,37988195,38039730,38144907,38210869,38430356,38528975,38646901,38782370,39024649,39078684,39078771,39131929,39398869,39452041,39568595,39638992,39676210,39822229,39827139,39944931,40084489,40113956,40174236,40287374,40344949,40518755,40575712,40603609,40626411,40773570,41217049,41267701,41282979,41331662,41436978,41567252,41687192,41869909,42018841,42133347,42216409,42314761,42570212,42903956,42947029,43214899,43237412,43491808,43545662,44128729,44276462,44300810,44359669,44415330,44588809,44593866,44858506,44906581,45086581,45121556,45132050,45313602,45438254,45441084,45487369,45585834,45619669,45647676,45838729,46092130,46142389,46234770,46399861,46447262,46538844,46612441,46898091,46990549,47106452,47280601,47376352,47434114,47449214,47482314,47485621,47562935,47564079,47611452,47875556,48204692,48208789,48248281,48302414,48364775,48405529,48622506,48793609,48844059,48868334,48928284,49023001,49060981,49317088,49365820,49432227,49572494,49768921,50023189,50064356,50166901,50193787,50639955,50827412,51068855,51140629,51371492,51416907,51507721,51540661,51558871,52057909,52278409,52353134,52371829,52617781,52643859,52705055,52829209,53007682,53037109,53066521,53107172,53152899,53160972,53176094,53270389,53281851,53298396,53344895,53385301,53413849,53527321,53647892,53754371,54015952,54023689,54129662,54158460,54210421,54268850,54367669,54419509,54619172,54662415,54922069,55091161,55174371,55280089,55310556,55441621,55481724,55655192,55688329,55797589,55862281,55883701,56010709,56232212,56316889,56332595,56376181,56512009,56588041,56644309,56680300,56681461,56845081,56876271,57000658,57075522,57171349,57220489,57300949,57303572,57704329,57769024,57773269,57800341,58037730,58067209,58090969,58205449,58306576,58323061,58333321,58373641,58393369,58398974,58478372,58514581,58566421,58591369,58691989,58747861,58774069,58867381,58872601,58897621,58933909,58995721,59004469,59020021,59031001,59034889,59038489,59040181,59047561,59057461,59137267,59238984,59443262,59543012,59896291,60767946,60816356,61282626,61344915,61526859,61527634,61735570,61826019,61865624,61906912,62013662,62435219,62612091,63063506,63135499,63246066,63357819,63430775,63664532,63979556,64013874,64083580,64365935,64990152,65122620,65145662,65434576,65594898,65683775,65845900,65887019,66643857,66828219,67125219,67167087,67344974,67355626,67599114,67633556,67763020,67827374,67947050,68016360,68310035,68670356,68756307,68877332,69023294,69103132,69187556,69379262,69464128,69580239,69598827,69645276,69712115,69733934,69800379,69815795,70073624,70204814,70504042,70522600,70625571,70886571,71042852,71371934,71487854,71705410,71892067,72069092,72273956,72526027,72550784,72639134,72764979,72791192,72964851,73113921,73132906,73613898,73655530,74082684,74628915,75262247,75325747,75419331,75425975,75454334,75499544,75653555,75675662,75725260,75892299,75938027,76116930,76175192,76518405,76546532,76674335,76900296,76920027,77239122,77408907,78147144,78159332,78593055,78746019,78820530,78832827,78926462,79015080,79138574,79263095,79337925,79604176,79863956,79910975,79981262,80190494,80224807,80273116,80711054,80853682,80862356,81075039,81161252,81191392,81304431,81315624,81536460,81619632,81723147,81890091,81972042,82079135,82353956,82376255,82552292,82651412,82849556,83042399,83559662,83654538,83758814,83778954,83824899,83832592,83858174,84075232,84282752,84388775,84481810,84627120,84724719,84869239,84936987,85178355,85249059,85331294,85566130,85567307,85683635,85697091,86046492,86100452,86199614,86492132,86512833,86624975,86907224,86972224,87253474,87737811,87896620,87915537,88296455,88386636,88442852,88540052,88891965,89014659,89101214,89106347,89193170,89554698,89602611,89705308,89874591,89897492,89917694,90193570,90230744,90268928,90347975,90511170,90784266,90856912,90863252,90870312,91340316,91441172,91480077,91690334,91777454,91822086,92009202,92196695,92555054,92624451,92785172,92811662,92954859,93186455,93721642,94075262,94311666,94503956,94584636,94722815,94818096,94855852,95115714,95141139,95144174,95169572,95205510,95454356,95518424,95714671,95893170,96176792,96462652,96545248,96963855,97046691,97157012,97584179,97770627,97843752,97901054,98267955,98494962,98718760,98851506,98912931,99028574,99543662,99736850,99762254,...,261292332314069741333431007223686722636993388882607662038757949957564853110419285142192232961008674092202924123735014530319684503236992394663761807277266515285506854730540631234400502140967121552733881340075040020697529286782572762299435664130126786787559127666633597170571693954952002576265501311153094514730608964092179575507234648647411338427241345741535372880492629223318520882801418589324606861572523393904315020931482412513214180345136504803021582476357660772271664385699837325201265983429589655265827716886512715019154058832184099347571155694365996253349644731494959497700483656635461564760842608138621940495644446730328468160633141809203349851232356748842728815127270699479044575507923574470317349151783164106686218810802286834570542907311558461049807043414126933698315977940839075647624489350731771522859902738284038653910256449235190885486220528345315318187564995380787036469051817092020605153753546078707644153037776069282665294316988177261244718554854574167639991220716564901017519917265879808375313056833610104048709712966308802365064431210213692015947533330691312297978367990475876323092094717347743192228367811443877801219761882942303642051479455865749224524767760879134104998159944937710307672372888413148151701063366612898124585853484741835102511993117378689653733427892530027910905485255418164131048332294662549710123310566088163082997178237369414592735087446620331979238882886736816242826703943979630298842266865880998934851244439029215026895387207293538920808625966550248617068330039619381162905292257211766375613545259478857936098953762684951057646474403703225769537203552413211054745165502013926093029147075974711431538734651681709923533095964757672123595434941100882129111349698646918036374879398507180292992245081065277171105862944122985654772576157962022561464134074524477685102849627691738307188778729583644203505130298337915984051933986825031987197914769153033983913640756350029897402264671331785039105038359370889797247208650253999133986167788684707472624309581632168406927492958448717409810514868398002045456286355950112282909337611699589228801712731678999640079298378419142157919416513841033448113729266137823348601924174411531915282767241042036016459407879934214130103476627669996023169798399931276897670515299390074111530016085327177583007966921252946941789871448463886159312890763430123794846589114433254109730660364302871329739122229386681696417516970030448581211960119045666369452824380306223305519674019430436}
15371  1390379544984504639931263181096513894879935579996006679056738588: {322581,384025,460830,491552,537565,552996,645078,767950,874893,921540,982976,1105848,1244079,1304665,1565598,1701741,1857229,2793518,2801181,2835865,3403038,3599965,3623493,3990740,4057945,4319958,4443861,4515565,4727492,4788888,4869534,4890589,4989693,5125165,5227189,5387499,5418678,5779033,5806821,5994421,6038365,6150198,6653654,6698773,6753560,6798265,6893301,6908869,7246038,7405465,7597755,7860445,7916821,8104272,8157918,8163565,8246541,8886558,8923981,9117306,9222038,9432534,9505220,9779902,9796278,10217773,10265629,10400493,10582765,10673161,10790941,11068982,11281515,11336665,11406264,11734333,11940709,11987278,12033616,12230293,12275461,12448772,12540621,12691165,12699318,12832047,12878233,13141945,13174340,13305572,13430375,13537818,13592365,13603998,13871181,13947901,13968661,14109901,14434501,14602693,14641945,14736878,14950309,15196341,15229398,15406093,15415630,15625358,15770334,15809208,16116450,16285621,16310838,16952749,17119934,17182765,17190880,17331865,17411893,17570334,17586212,17666233,17783960,17785359,18045782,18335876,18498756,18878061,19007960,19077853,19186250,19339740,19445029,19661493,19807652,19858102,19955230,20006955,20151908,20286301,20619318,20629056,20747173,20798238,20860990,21280501,21340752,21342445,21383955,21447661,21530078,21547381,22003478,22081945,22135076,22258893,22321940,22715588,22809552,23023500,23207688,23499193,23557945,23878294,23946276,24008346,24052693,24064221,24079213,24321261,24558400,24678661,24894296,24939332,24947341,25011638,25033188,25116541,25123160,25347261,25610934,25660746,25700809,25809733,25931581,26108649,26130692,26204665,26497945,26498334,26584093,26624901,26633438,26786328,26950981,27177493,27568798,27628200,27743773,27800941,27897141,27909541,28006083,28263555,28269534,28692445,28788440,28900861,28972196,28980430,29277961,29420054,29470080,29668261,29713465,29896702,30134619,30147792,30394532,30587065,31029944,31081725,31235173,31246628,31313965,31378958,31433540,31434752,31442989,31445598,31797534,32292452,32324473,32386995,32432493,32450840,32647316,32770381,32875093,33054445,33076438,33153840,33187429,33196921,33340575,33607069,33746893,33763076,33916266,34360990,34430934,34546128,34684118,34776516,34908687,34967533,35160829,35255230,35364096,35417181,35439902,35440393,35445272,35503748,35563280,35654365,35656158,36230365,36381022,36476293,36507195,36666968,36704478,36728413,36940549,37093165,37131061,37298070,37329560,37410308,37508101,37576758,37720248,38040061,38055332,38114989,38187769,38483198,38527508,38737453,38814445,38824990,38827321,38864394,38941008,39348381,39610136,39665334,39715630,39753109,39784608,39835893,39875931,40008690,40095901,40565541,41233188,41250339,41454308,41488918,41777301,41927461,41995755,42097465,42306276,42378398,42383230,42435279,42675936,42785238,43089118,43115893,43152452,43376365,43420760,43476438,43672676,43759021,43808634,43884214,43944861,44227165,44418949,44511798,44561403,44638040,44640889,44651581,44654269,44757668,44757684,44793565,44795472,45071972,45217945,45641965,45843542,45848821,45957901,46185838,46570341,46577334,46589988,46687321,46814830,46934701,46992238,47263958,47334445,47658756,47696612,47714893,47755101,48010428,48037945,48151513,48649598,48698293,48848355,49294141,49548740,49743241,49874061,50142445,50217795,50394906,50452441,50516958,50527861,50547896,50719640,50833981,50859876,51018254,51394894,51603373,51834111,51959065,52051638,52086973,52104912,52105028,52108990,53072598,53102852,53212765,53259908,53340181,53565648,53629945,53752278,54046765,54132421,54168548,54261534,54364760,54750261,54770358,54994238,55019269,55043972,55076281,55249304,55614409,56177796,56401945,56801334,56801355,56866383,56925721,57059595,57255254,57304621,57361621,57645534,57777614,58173555,58274134,58618026,58883065,59220440,59455141,59458488,59514315,59844445,59894281,60170934,60255865,60261354,60283693,60418136,60431061,60581641,60588112,60781112,60863568,61160355,61314421,61646360,61707275,61997493,62042318,62051792,62155467,62350878,62530788,62580445,62877742,63128222,63309752,63418772,63435734,63481936,63534265,63692293,63844549,63855318,64214365,64303621,64355934,64387934,64830008,64856118,65125412,65237712,65318493,65648953,65707774,65909636,66062101,66130861,66383965,66414693,66451215,66622995,66653293,66890799,67059865,67264549,67287759,67471861,67519940,67682334,67698075,67970403,68157381,68161626,68273965,68378751,68471514,68555876,68933294,69138195,69182509,69336973,69352155,69419893,69487381,69568990,69653654,69670893,69808266,70191812,70290265,70500361,70659678,70778389,70850375,70870532,70881296,70997593,71001013,71042468,71064528,71151171,71173821,71223471,71417178,71629465,71813334,72003721,72016669,72211280,72307038,72453621,72463381,72883220,72933759,73097965,73302501,73353518,73392426,73459861,73565828,73747408,73871422,73975632,74048730,74358741,74428765,74738582,75018841,75096534,75564214,75698233,75835028,75870421,76020445,76043821,76070158,76100696,76241118,76526293,77057238,77089213,77094301,77332030,77383640,77970841,78529701,78550621,78921541,78946741,78951901,78985312,79181134,79499798,79511523,79580089,79580665,79660758,79741458,79764141,79947594,79974445,80104475,80307469,80471838,81023928,81194493,81237690,81372733,81403275,81456601,81633829,81710168,81793220,81928758,82035812,82307375,82429118,82434692,82965834,83150749,83222586,83420854,83482788,83578621,83738101,84128389,84154693,84328088,84348318,84477092,84541945,84648598,84703775,84788953,85020450,85339081,85351832,85381054,85500987,85613283,85747534,85837945,85955358,86032393,86096665,86378915,86484445,86653536,86830160,87056595,87211862,87459864,87592030,87598461,87717558,87922358,88153250,88803565,88858476,89104292,89129821,89164893,89202901,89277721,89314518,89500292,89556116,89673781,89697229,90086365,90132152,90342445,90403261,90499598,90641438,90688480,90988990,91151919,91224534,91637821,91659374,91675076,91716758,91923939,92291451,92342878,92586589,92603355,92651533,92773652,92798436,92860368,93020493,93067172,93206014,93543301,93827701,93974941,94068278,94167428,94374430,94515428,94535998,94595259,94656575,94869099,94896061,95004301,95218990,95496798,95683165,95969334,96020811,96125370,96135781,96325141,97019972,97045561,97286468,97485228,97571749,97668601,97683930,97699165,97718493,97789093,98151864,98392347,98392693,98455534,98505781,98768850,98776912,99439021,99505220,99797758,99829945,99912127,...,391938498471104612000146510835530083955490083323911493058136924936347279665628927713288349441513011138304386185602521795479526754855488591995642710915899772928260282095810946851600753211450682329100822010112560031046293930173859143449153496195190180181338691499950395755857540932428003864398251966729641772095913446138269363260851972971117007640862018612303059320738943834977781324202127883986910292358785090856472531397223618769821270517704757204532373714536491158407496578549755987801898975144384482898741575329769072528731088248276149021356733541548994380024467097242439246550725484953192347141263912207932910743466670095492702240949712713805024776848535123264093222690906049218566863261885361705476023727674746160029328216203430251855814360967337691574710565121190400547473966911258613471436734026097657284289854107426057980865384673852786328229330792517972977281347493071180554703577725638030907730630319118061466229556664103923997941475482265891867077832281861251459986831074847351526279875898819712562969585250415156073064569449463203547596646815320538023921299996036968446967551985713814484638142076021614788342551717165816701829642824413455463077219183798623836787151641318701157497239917406565461508559332619722227551595049919347186878780227112752653767989676068034480600141838795041866358227883127246196572498441993824565184965849132244624495767356054121889102631169930497968858324330105224364240055915969445448263400298821498402276866658543822540343080810940308381212938949825372925602495059429071744357938385817649563420317889218286904148430644027426586469711605554838654305805328619816582117748253020889139543720613962067147308101977522564885299643947136508185393152411651323193667024547970377054562319097760770439488367621597915756658794416184478482158864236943033842196201111786716527654274441537607460783168094375466305257695447506873976077900980237547980796872153729550975870461134525044846103397006997677558657557539056334695870812975380998700979251683027061208936464372448252610391239437673076114715772302597003068184429533925168424364006417549383843202569097518499460118947567628713236879124770761550172170593899206735022902886261617297872924150861563054024689111819901321195155214941504994034754697599896915346505772949085111167295024127990766374511950381879420412684807172695829238969336145145185692269883671649881164595990546454306994608683344080022544626275455045672871817940178568499554179236570459334958279511029145654}
15372  1396594858747325635467930252141655052907213768391109256052160619: {168971,199667,337898,353027,430108,614440,628571,659147,691245,737328,811907,829494,860104,903467,967617,1116827,1151925,1166524,1228720,1256978,1268987,1382310,1474464,1542371,1572707,1658772,1663667,1724267,1996571,2087464,2117387,2172458,2268988,2348397,2537642,2629427,2719547,3019427,3084338,3198971,3266282,3378227,3527387,3646571,3734908,3795371,4092371,4173842,4190277,4240571,4537384,4683971,4831324,4988425,5104557,5389667,5759944,5828387,5909365,5925148,5978162,5986110,6294371,6385184,6468587,6479937,6492712,6613547,6652924,6700427,7053842,7091238,7183332,7224904,7232618,7304301,7479107,7737371,7742428,7946282,8023571,8124338,8128017,8200264,8441950,8763947,8835122,8877371,9047267,9132107,9191068,9225297,9301571,9442571,9543602,9661384,9695867,9892427,9980481,10130340,10529414,10535507,10602002,10730387,10805696,10813787,10869057,10869347,10877224,10980371,10995388,11781467,11808971,11848744,11881525,11946371,11973827,12005138,12056147,12156408,12193187,12236877,12384707,12528938,12576712,12793787,12877418,13061704,13173971,13329837,13579571,13675959,13741307,13833057,13867324,13983371,14144387,14148801,14257830,14265578,14611178,14669853,14694417,14785571,14956202,15024827,15042020,15051371,15208352,15289907,15560965,15580571,16001627,16080347,16368371,16467925,16501682,16603473,16631965,16720828,16932424,17109396,17174867,17304227,17355242,17381747,17695658,17980917,18050424,18138664,18152987,18178571,18205202,18306371,18494908,18561371,18673158,19048977,19051562,19068971,19220402,19220627,19673867,19761510,19958358,20049587,20199371,20261788,20299067,20305864,20306727,20405997,20448371,20565938,20671787,20721347,20795627,21027112,21078944,21190571,21338147,21488600,21735722,21747784,21782509,21827987,21982765,22105317,22144667,22193267,22229950,22290371,22798067,22844097,22919845,23123445,23158547,23427112,23438037,23517227,23559698,23655501,23713812,23759950,23874107,23889458,23945267,24054122,24174675,24466257,24665008,24759565,25170748,25189885,25283627,25529618,25679901,25786320,25954571,26184371,26215324,26355501,26379318,26436227,26675940,27068673,27151201,27317162,27456467,27492424,27503814,27505408,27658571,27668845,27730984,27748134,27902425,28016267,28216571,28284842,28349747,28394485,28454336,28460507,28511940,28779375,29009610,29120867,29208371,29535371,29678524,29711478,29730707,29774027,29787153,29932845,30045458,30162467,30227862,30412736,30484187,30698000,30825371,30928977,30943584,31014613,31016387,31058747,31117870,31122227,31174165,31197357,31291485,31403950,31899227,31928368,32011128,32083597,32085628,32295117,32428348,32500571,32624147,32663365,32685827,32706371,33005217,33045482,33115571,33202614,33298667,33377584,33482910,33541787,33796348,33803867,33826322,34044587,34073382,34147912,34214328,34343867,34403507,34448402,34522571,34535250,34658869,34740107,34811532,35093987,35230907,35245969,35331112,35386907,35499868,35522987,35715104,35793971,35817441,35919414,35985550,36012519,36147242,36215245,36300818,36540587,36767867,36837600,36843371,37066538,37106627,37196188,37269661,37341444,37408998,37517457,37549782,37572827,37684740,37692712,37886987,37993165,38125667,38132498,38217107,38235371,38416401,38435762,38491119,38671307,38787430,39031067,39058285,39196038,39209747,39291925,39293440,39423107,39476267,39582371,39747501,39828827,39846371,39950157,40038827,40091147,40093418,40108571,40179492,40197056,40365565,40368971,40563550,40627571,40809145,40816067,40986587,41122427,41240867,41288042,41291507,41353197,41436722,41442300,41648893,41827187,41876987,41881898,41893571,41927464,42042467,42141371,42203845,42239987,42321947,42396712,42404301,42954371,42970427,43114571,43182660,43243324,43356458,43458294,43470645,43495787,43809947,43919147,44040217,44130081,44136371,44151827,44205120,44229409,44234282,44306590,44379685,44380082,44382707,44454100,44525738,44596571,44657387,44845053,44959547,45221688,45406787,45510107,45591798,45627707,45642371,45833710,45861371,45907912,46020827,46061504,46164947,46208027,46293971,46368688,46422347,46450787,46544916,46634867,46661950,46762885,46869942,46929371,46979858,46998971,47068437,47150310,47152128,47168397,47206571,47222908,47289107,47330267,47534987,47541544,47569165,47696301,48159385,48343141,48427427,48438678,48676260,48686867,48802571,48815387,48939304,48970974,49006667,49044707,49445987,49495571,49512670,49614657,49730760,49790387,49814747,49851227,49936067,49953962,50102344,50283371,50293664,50354387,50507267,50513258,50644614,50647187,50820467,50874399,51150371,51209138,51347882,51362867,51418307,51486482,51541485,51550547,51646401,51714227,51817885,51819192,51876107,51921344,52026177,52067987,52131371,52164774,52173467,52315058,52382027,52392371,52454267,52464508,52485107,52789547,52864562,52865869,52882845,52887112,52939067,53014598,53046144,53047571,53057387,53114524,53159853,53167908,53183473,53193971,53252027,53255622,53280947,53290571,53344920,53395907,53484237,53537987,53548202,53844227,53940565,53989571,54034571,54043547,54070427,54087388,54168371,54275950,54295318,54300371,54363818,54387371,54571533,54590845,54592907,54643571,54685571,54818627,54884387,54933371,54941507,54977584,55000452,55056717,55062587,55102547,55173971,55291571,55299347,55322627,55396033,55546694,55596371,55663187,55703068,55707371,55743971,55797550,55816571,55947085,55947105,55979498,55994340,56022587,56071307,56115462,56167571,56328947,56339965,56365137,56380178,56407907,56408368,56492147,56524187,56530571,56580372,56646578,56656571,56662787,56718371,56726257,56755067,56785427,56863427,56898971,56901248,56912402,56928371,57046984,57049667,57066707,57082998,57216827,57233147,57270947,57313667,57318971,57350627,57461569,57474371,57544427,57724797,57786371,57790907,57791262,57826907,57936107,57968584,58007507,58019867,58048427,58060547,58084571,58101482,58108307,58120067,58222667,58237485,58273571,58296591,58340147,58346987,58410371,58411512,58473971,58531427,58580387,58593148,58629707,58661147,58706147,58734707,58741667,58764347,58788371,58831547,58848971,58887722,58912187,58949987,59035787,59039627,59055827,59063987,59073227,59074307,59074427,59074571,59349064,59409002,59415204,59498001,59573445,59620765,59676912,59727296,60013035,60830642,61849782,61935925,62021134,62093788,62103112,62119984,62181462,62233377,62488298,62614802,63071734,63184870,63245162,63399550,63459414,63496298,63527893,63545008,63567597,63574845,63673468,63871922,64013904,64177857,64528982,64633677,64728678,65131140,65131285,65214657,65361458,65509014,65712951,65826321,65975978,66378565,66498748,66574885,66588109,66767697,66957060,67136502,67136526,67193208,67355944,67364414,67556882,67607958,67710685,67813168,67955950,68398058,68556301,68637098,68765313,68804965,68994578,69061630,69112148,69278757,69402184,69473216,69866001,69884982,70222245,70411538,70482742,70488357,70763464,70895937,71228522,71420864,71488134,71496397,71544918,71669704,71923178,72015642,72268562,72348712,72974397,73000348,73027144,73410482,73637138,73638433,73787077,74025550,74323110,74529598,74649962,74682853,74903728,74984978,75522670,75592359,75735112,75735140,75775437,75821844,75872018,75976390,76079460,76289814,76421738,76527381,76860712,77057950,77092341,77293802,77564740,77866477,78049298,78077457,78157368,78157542,78163485,78263858,78797738,78865633,78904082,79137190,79273465,79277984,79352420,79608897,79642321,79644458,79654278,79889862,80168978,80227912,80348472,80574748,80628417,80689898,81037510,81151424,81207218,81252822,81392301,81406765,81547140,82155537,82387045,82434098,82491357,82535402,82565958,82663324,82873956,83134504,83374384,83739818,84037682,84116629,84266694,84399925,84432818,84629522,85140424,85202001,85694845,85807912,85882881,85894058,86429798,86468301,86474824,86666421,86983616,87091324,87411201,87739765,87927039,88257458,88552924,88588165,88601620,88719338,88769461,88803085,88830660,89177618,89187732,89717012,89744941,89813162,90112309,90173162,90243112,90256401,90264100,90392031,90627204,90876508,90882168,90974738,91104025,91171668,91239338,91295352,91677458,91957285,92184260,92284778,92469540,92799722,92812093,92894524,93063477,93077688,93224882,93526317,93796182,93981098,94212904,94316613,94561202,94692333,94752704,94793785,94868228,94898428,94964628,94971242,95125870,95128158,95153601,95222904,95634049,95751112,95782977,96409384,96417578,96496562,96533901,96581901,96604828,96729550,96811058,97245012,97284177,97587218,97596961,97688118,97736668,97742113,97856568,98046002,98121962,98141017,98561661,98634176,98731640,98864454,99144988,99537842,...,587907747706656918000219766253295125933235124985867239587205387404520919498443391569932524162269516707456579278403782693219290132283232887993464066373849659392390423143716420277401129817176023493651233015168840046569440895260788715173730244292785270272008037249925593633786311398642005796597377950094462658143870169207404044891277959456675511461293027918454588981108415752466671986303191825980365438538177636284708797095835428154731905776557135806798560571804736737611244867824633981702848462716576724348112362994653608793096632372414223532035100312323491570036700645863658869826088227429788520711895868311899366115200005143239053361424569070707537165272802684896139834036359073827850294892828042558214035591512119240043992324305145377783721541451006537362065847681785600821210950366887920207155101039146485926434781161139086971298077010779179492343996188776959465922021239606770832055366588457046361595945478677092199344334996155885996912213223398837800616748422791877189980246612271027289419813848229568844454377875622734109596854174194805321394970222980807035881949994055452670451327978570721726957213114032422182513827575748725052744464236620183194615828775697935755180727461978051736245859876109848192262838998929583341327392574879020780318170340669128980651984514102051720900212758192562799537341824690869294858747662990736847777448773698366936743651034081182833653946754895746953287486495157836546360083873954168172395100448232247603415299987815733810514621216410462571819408424738059388403742589143607616536907578726474345130476833827430356222645966041139879704567408332257981458707992929724873176622379531333709315580920943100720962152966283847327949465920704762278089728617476984790500536821955565581843478646641155659232551432396873634988191624276717723238296355414550763294301667680074791481411662306411191174752141563199457886543171260310964116851470356321971195308230594326463805691701787567269155095510496516337986336308584502043806219463071498051468877524540591813404696558672378915586859156509614172073658453895504602276644300887752636546009626324075764803853646277749190178421351443069855318687156142325258255890848810102534354329392425946809386226292344581037033667729851981792732822412257491052132046399845373019758659423627666750942536191986149561767925572819130619027210759043743858454004217717778538404825507474821746893985819681460491913025016120033816939413182568509307726910267852749331268854855689002437419266543718481}
15373  1402837735697932667178970744196295750770958131225024227011771129: {15373,506847,537635,645162,752591,768050,921660,983104,1075130,1105992,1244241,1290156,1458155,1535900,1749786,1826531,1843080,1885467,1965952,2073465,2194907,2211696,2488158,2609330,2836235,3131196,3258687,3403482,3714458,3806463,3970211,4626507,4668635,4899423,5039951,5227871,5587036,5602362,5671730,5681123,5779787,6039155,6177587,6260763,6321791,6699647,6806076,7175231,7199930,7245887,7246986,7406435,7981480,8115890,8165027,8316155,8453711,8639916,8887722,8967243,8979165,9031130,9356243,9454984,9517571,9577776,9635651,9678035,9739068,9781178,9979386,10250330,10367651,10454378,10546523,10580763,10636857,10774998,10837356,10848927,10922447,11004623,11193803,11428991,11488835,11558066,11613642,11919423,11928827,11988842,12076730,12132107,12186507,12277067,12300396,12662925,13031363,13252683,13307308,13397546,13507120,13596530,13669151,13744235,13766387,13786602,13817738,14111747,14315403,14492076,14507363,14810930,14815871,15138623,15195510,15720890,15794121,15833642,15871331,15903003,16208544,16315836,16327130,16424411,16483883,16493082,17288447,17334155,17414171,17668547,17767631,17773116,17847962,18007707,18234612,18398723,18444076,18793407,18802525,18865068,19010440,19029311,19246643,19316127,19460351,19559804,19592556,20035067,20393567,20435546,20498723,20517011,20531258,20800986,20901035,20944331,21165530,21346322,21386745,21398367,21450467,21581882,21916767,22137964,22434303,22563030,22673330,22812528,23118635,23468666,23881418,23974556,24055871,24067232,24082367,24264611,24460586,24550922,24752523,24897544,25081242,25119827,25149683,25162091,25327235,25382330,25398636,25650083,25664094,25756466,26032863,26283890,26348680,26543487,26587571,26611144,26860750,26954507,27075636,27184730,27207996,27251807,27307803,27742362,27747407,27895802,27937322,28009737,28219802,28265663,28577343,28830603,28869002,29205386,29283890,29473756,29642265,29683211,29879423,29900618,29937537,30392682,30458796,30812186,30831260,30848907,30914723,31250716,31463435,31540668,31618416,32232900,32328707,32571242,32603583,32621676,32722427,32769155,32981123,32984003,33344925,33349691,33611471,33905498,34155563,34239868,34365530,34381760,34553747,34663730,34816283,34823786,35140668,35172424,35332466,35339547,35567920,35570718,35639925,35834187,35957771,36081183,36091564,36671752,36686531,36742751,36997512,37097123,37098155,37135967,37379087,37756122,37851851,38015920,38155706,38192771,38209187,38294427,38372500,38679480,38742527,38890058,39221507,39261407,39322986,39568977,39609851,39615304,39716204,39910460,40013910,40050587,40085771,40107035,40169423,40303816,40535435,40566131,40572602,40975743,41225363,41238636,41255721,41258112,41494346,41553707,41596476,41598851,41622201,41721980,42099803,42245435,42427263,42561002,42681504,42684890,42767910,42821891,42895322,43060156,43094762,43514415,43839551,43882163,43972703,44006956,44163890,44270152,44374835,44517786,44567217,44643880,44986271,45044987,45068187,45341793,45431176,45524867,45619104,45670187,46047000,46276223,46415376,46495235,46585727,46676805,46980947,46998386,47105925,47115890,47719571,47756588,47892552,48016692,48050591,48105386,48128442,48158426,48188351,48642522,49116800,49332347,49357322,49568223,49788592,49803921,49878664,49894682,49916111,50023276,50066376,50224365,50233082,50246320,50694522,50722511,50739483,51110073,51221868,51321492,51401618,51472307,51619466,51672603,51802875,51863162,51930431,52179947,52217298,52261384,52409330,52773227,52786127,52995890,52996668,53168186,53249802,53266876,53572656,53879121,53901962,53978325,54054155,54220863,54313883,54340223,54354986,54451227,54727871,54861923,55137596,55256400,55468283,55487546,55567625,55595387,55599807,55601882,55794282,55819082,56012166,56044211,56113497,56324673,56527110,56539068,56936063,57198747,57384890,57576880,57634907,57653643,57801722,57944392,57960860,58052963,58181145,58327307,58555922,58794057,58840108,58936451,58940160,59028635,59336522,59426930,59793404,60076523,60140127,60269238,60295584,60726911,60789064,60845325,61174130,61410491,61918031,61932063,62059888,62155083,62163450,62464127,62470346,62493256,62627930,62710991,62757916,62822847,62867080,62869504,62885978,62891196,63305123,63536843,63595068,63814067,63898751,64110047,64584904,64648946,64773990,64864986,64901680,65034687,65187441,65294632,65540762,65580635,65642987,65750186,66008771,66108890,66152876,66268223,66307680,66351423,66374858,66393155,66393842,66459885,66530147,66570123,66681150,66788607,66940667,67214138,67253123,67440383,67493786,67526152,67609235,67723643,67832532,68387697,68721980,68750565,68861868,69092256,69146411,69368236,69553032,69628835,69817374,69935066,69992925,70176467,70199423,70304913,70321658,70469787,70510460,70725465,70728192,70834362,70879804,70880786,70890544,71007496,71106827,71126560,71308730,71312316,72063167,72460730,72516203,72658017,72742691,72762044,72952586,73014390,73241435,73333936,73407827,73408956,73456461,73456826,73469567,73881098,73939403,74186330,74262122,74269005,74497871,74504603,74596140,74659120,74820616,74930943,75016202,75081923,75153516,75409727,75440496,75665471,75769887,75966921,76080122,76110664,76229978,76375538,76813707,76966396,77021823,77043731,77055016,77229723,77474906,77617235,77628890,77649980,77654642,77662367,77728788,77882016,77956691,78247161,78472587,78696762,78962723,79220272,79296843,79330668,79350251,79431260,79494467,79506218,79521897,79569216,79591835,79642307,79671786,79751862,79883433,80017380,80191802,80322303,80474747,80596511,81131082,81144683,81413925,81442977,81545727,81761147,82436291,82466376,82500678,82908616,82977836,83069603,83123435,83320041,83554602,83647187,83696325,83725931,83782223,83844587,83854922,83969247,83991510,84173193,84194930,84358211,84570267,84612552,84756796,84766460,84870558,84969867,85068371,85351872,85368603,85570476,85615967,85624497,86178236,86231786,86304904,86390185,86584907,86686893,86752730,86841520,86952876,87086891,87152223,87345352,87518042,87612623,87617268,87768428,87889722,88199771,88331583,88454330,88837898,88947971,89023596,89113503,89122806,89276080,89281778,89303162,89308538,89501963,89515336,89515368,89587130,89590944,89665043,89900111,90143944,90435890,90636467,90722831,90738971,91245963,91250435,91283930,91508363,91687084,91697642,91915802,92199803,92371676,92774673,92937551,93031701,93140682,93154668,93179976,93272193,93374642,93629660,93732447,93869402,93883811,93922203,93984476,94527916,94607601,94668890,94668925,94777305,94867743,94908827,95007203,95099325,95189121,95244447,95317512,95393224,95429786,95510202,95583551,95807883,96020856,96030083,96075890,96153851,96303026,96793473,96955925,97093017,97299196,97396586,97696710,97787507,98042187,98263521,98269067,98406371,98588282,98963967,98971871,99097480,99190525,99216671,99486482,99748122,...,783876996942209224000293021671060167910980166647822986116273849872694559331257855426576698883026022276608772371205043590959053509710977183991285421831799545856520564191621893703201506422901364658201644020225120062092587860347718286898306992390380360362677382999900791511715081864856007728796503933459283544191826892276538726521703945942234015281724037224606118641477887669955562648404255767973820584717570181712945062794447237539642541035409514409064747429072982316814993157099511975603797950288768965797483150659538145057462176496552298042713467083097988760048934194484878493101450969906384694282527824415865821486933340190985404481899425427610049553697070246528186445381812098437133726523770723410952047455349492320058656432406860503711628721934675383149421130242380801094947933822517226942873468052195314568579708214852115961730769347705572656458661585035945954562694986142361109407155451276061815461260638236122932459113328207847995882950964531783734155664563722502919973662149694703052559751797639425125939170500830312146129138898926407095193293630641076047842599992073936893935103971427628969276284152043229576685103434331633403659285648826910926154438367597247673574303282637402314994479834813130923017118665239444455103190099838694373757560454225505307535979352136068961200283677590083732716455766254492393144996883987649130369931698264489248991534712108243778205262339860995937716648660210448728480111831938890896526800597642996804553733317087645080686161621880616762425877899650745851204990118858143488715876771635299126840635778436573808296861288054853172939423211109677308611610657239633164235496506041778279087441227924134294616203955045129770599287894273016370786304823302646387334049095940754109124638195521540878976735243195831513317588832368956964317728473886067684392402223573433055308548883075214921566336188750932610515390895013747952155801960475095961593744307459101951740922269050089692206794013995355117315115078112669391741625950761997401958503366054122417872928744896505220782478875346152229431544605194006136368859067850336848728012835098767686405138195036998920237895135257426473758249541523100344341187798413470045805772523234595745848301723126108049378223639802642390310429883009988069509395199793830693011545898170222334590048255981532749023900763758840825369614345391658477938672290290371384539767343299762329191981092908613989217366688160045089252550910091345743635880357136999108358473140918669916559022058291308}
15374  1409108297099438517133715995939907124683710298239657643495882812: {199693,337942,399334,659233,675796,706054,860216,934093,967743,1025569,1152075,1228880,1257142,1318294,1382490,1474656,1481869,1572913,1612695,1623814,1658988,1720208,1806934,1919875,1935234,2233654,2303850,2333048,2389069,2457440,2513956,2537974,2624679,2749933,2764620,2948928,3084742,3145414,3317544,3327334,3448534,3732237,3913995,3993142,4174928,4234774,4270753,4344916,4537976,4696794,4714093,5075284,5105223,5258854,5439094,5571687,6038854,6168676,6397942,6532564,6756454,6983795,7054774,7249969,7293142,7469816,7590742,7767073,8110369,8184742,8273111,8347684,8380554,8403543,8481142,8507595,8537869,8963569,9074768,9367942,9472033,9662648,9725293,9976850,10145953,10209114,10779334,10799895,10870479,11519888,11656774,11810593,11818730,11850296,11956324,11972220,11975473,12173835,12588742,12770368,12937174,12959874,12985424,13227094,13305848,13331583,13400854,13527469,13546695,13931569,14107684,14182476,14366664,14449808,14465236,14608602,14671767,14814253,14958214,14969079,15053473,15375495,15474742,15484856,15609133,15681567,15892564,16003873,16047142,16162497,16248676,16256034,16396813,16400528,16634135,16883900,17021773,17337099,17410033,17420463,17527894,17670244,17754742,17983263,18094534,18115095,18181153,18264214,18334513,18382136,18450594,18603142,18885142,19087204,19322768,19391734,19784854,19960962,20096319,20227213,20260680,20394795,20451313,20679903,20726607,21058828,21071014,21204004,21341233,21460774,21611392,21627574,21635569,21738114,21738694,21754448,21785351,21960742,21990776,22216395,22793265,22801393,23055095,23161933,23284751,23562934,23581335,23617942,23697488,23735053,23750463,23763050,23806369,23892742,23947654,24010276,24112294,24161869,24232753,24312816,24386374,24449755,24473754,24490695,24739623,24769414,25057876,25147693,25153424,25587574,25754836,25981453,26123408,26347942,26659674,26668333,26771943,27159142,27351918,27482614,27666114,27672455,27685153,27734648,27966742,28288774,28297602,28515660,28531156,29015713,29222356,29339706,29388834,29571142,29865133,29912404,29968195,30049654,30084040,30102742,30188593,30416704,30510253,30579814,30653319,30775871,30796887,30830113,31121930,31161142,31201479,31748295,31841569,32003254,32019483,32087783,32160694,32372823,32402413,32711473,32736742,32935850,33003364,33141133,33206946,33263930,33385069,33441656,33844545,33864848,33929713,33989869,34009995,34218792,34349734,34608454,34663391,34710484,34763494,35119153,35177869,35202999,35265839,35391316,35528653,35761069,35822127,35961834,36049969,36100848,36277328,36305974,36337069,36357142,36410404,36612742,36679213,36690879,36826383,36842195,36989816,37122742,37131373,37346316,37621863,38073495,38097954,38103124,38137942,38241613,38440804,38441254,38496141,38539075,38623393,38634699,38736383,39063395,39109069,39347734,39425835,39523020,39752279,39852973,39916716,40099174,40115233,40291125,40398742,40523576,40598134,40611728,40613454,40777095,40811994,40896742,40993453,41131876,41343574,41442694,41591254,41613543,41650993,41654327,41843703,41900653,41905983,41950369,42054224,42157888,42329703,42381142,42638833,42660607,42676294,42736033,42799835,42977200,42977773,43169869,43303503,43471444,43495568,43565018,43643831,43655974,43808079,43925835,43965530,44045963,44159473,44210634,44289334,44344369,44386534,44459900,44573869,44580742,44801569,44850927,44982433,45114455,45589023,45596134,45650413,45688194,45728711,45839690,45913069,46218279,46246890,46317094,46769869,46854224,46876074,46937773,47034454,47119396,47228833,47311002,47352493,47427624,47519900,47748214,47778916,47800369,47890534,47965625,48108244,48349350,48730891,48824353,48856863,48932514,48977569,49015693,49221419,49330016,49519130,49578913,49645255,49689613,49872673,49888075,49945393,50304673,50341496,50379770,50567254,50701343,50858247,51059236,51103693,51359802,51548295,51572640,51909142,51995595,52152475,52235679,52368742,52402573,52430648,52433569,52711002,52758636,52872454,52889869,52998699,53067853,53190431,53301133,53351880,53356077,53825195,53891569,54054433,54137346,54302402,54320113,54553069,54578593,54634324,54681599,54903853,54912934,54952813,54984848,55007628,55008695,55010816,55310833,55317142,55337690,55461968,55496268,55630369,55804850,56032534,56083213,56367469,56433142,56511791,56542753,56569684,56634183,56675053,56699494,56788970,56908672,56921014,56929069,57016369,57023880,57084913,57132803,57233559,57331693,57347569,57363373,57558750,57562273,57635533,57804013,57844513,57987469,58019220,58037293,58179853,58241734,58290733,58335087,58416742,58481569,58613869,58693069,58859569,58865293,58956013,58984479,59013793,59057569,59070742,59085383,59085613,59089969,59357048,59422956,59461414,59548054,59574306,59695735,59865690,60020865,60090916,60324934,60455724,60825472,60858903,60968374,61396000,61650742,61857954,61887168,62029226,62032774,62117494,62131559,62235740,62241519,62244454,62348330,62394714,62529095,62582970,62807900,63798454,63841503,63856736,64022256,64027335,64151865,64167194,64171256,64342983,64590234,64642143,64856696,65001142,65248294,65326730,65371654,65412742,65468039,66010434,66090964,66231142,66245835,66405228,66583595,66596831,66597334,66755168,66776679,66965820,67083574,67423139,67592696,67607734,67652644,67909127,68089174,68146764,68295824,68428656,68687734,68807014,68896804,68921995,69045142,69070500,69317738,69480214,69623064,70187974,70461814,70491938,70497579,70662224,70673835,70773814,70999736,71045974,71430208,71587942,71634882,71838828,71971100,72025038,72158079,72192663,72237639,72294484,72430490,72451075,72545039,72601636,72963783,73081174,73535734,73550135,73675200,73686742,74035983,74133076,74213254,74392376,74539322,74682888,74741755,74817996,74842023,75034914,75078419,75099564,75145654,75349623,75369480,75385424,75516791,75773974,75986330,76041783,76251334,76264996,76427183,76434214,76470742,76832802,76871524,76982238,77102427,77342614,77429199,77574860,77794743,78062134,78116570,78325919,78325947,78392076,78419494,78447395,78583850,78586880,78613995,78846214,78875951,78952534,79164742,79493835,79495002,79657654,79692742,79752279,79874703,79900314,80077654,80182294,80186836,80217142,80358984,80394112,80731130,80737942,80852943,81021083,81127100,81255142,81532479,81618290,81632134,81973174,82244854,82481734,82576084,82583014,82691095,82706394,82873444,82884600,83231319,83297786,83402823,83469071,83654374,83691423,83728623,83753974,83763796,83787142,83854928,84018249,84084934,84282742,84407690,84479974,84643894,84790665,84793424,84808602,85902475,85908742,85940854,86077335,86229142,86365320,86486648,86702583,86710295,86712916,86916588,86941290,86991574,87027239,87619894,87833883,87838294,88080434,88138075,88260162,88272742,88303654,88410240,88458818,88468564,88599755,88613180,88759370,88760164,88765414,88908200,89004783,89051476,89140395,89193142,89314774,89690106,89919094,90403857,90443376,90813574,90952555,91020214,91183596,91183799,91255414,91284742,91667420,91722742,91761195,91815824,92041654,92123008,92329894,92416054,92587942,92737376,92844694,92901574,92929991,93089832,93204839,93245175,93269734,93323900,93525770,93705519,93739884,93858742,93941895,93959716,93997942,94012703,94122743,94136874,94300620,94304256,94328967,94336794,94413142,94445816,94578214,94660534,94794959,95069974,95083088,95138330,95392602,96207995,96318770,96326951,96686282,96854854,96877356,96973419,97062475,97160985,97297479,97352520,97373734,97605142,97630774,97878608,97941948,98013334,98089414,98112487,98311143,98625279,98891974,98991142,99025340,99163335,99212927,99229314,99289075,99461520,99562287,99580774,99590763,99629494,99702454,99872134,99907924,...,1175815495413313836000439532506590251866470249971734479174410774809041838996886783139865048324539033414913158556807565386438580264566465775986928132747699318784780846287432840554802259634352046987302466030337680093138881790521577430347460488585570540544016074499851187267572622797284011593194755900188925316287740338414808089782555918913351022922586055836909177962216831504933343972606383651960730877076355272569417594191670856309463811553114271613597121143609473475222489735649267963405696925433153448696224725989307217586193264744828447064070200624646983140073401291727317739652176454859577041423791736623798732230400010286478106722849138141415074330545605369792279668072718147655700589785656085116428071183024238480087984648610290755567443082902013074724131695363571201642421900733775840414310202078292971852869562322278173942596154021558358984687992377553918931844042479213541664110733176914092723191890957354184398688669992311771993824426446797675601233496845583754379960493224542054578839627696459137688908755751245468219193708348389610642789940445961614071763899988110905340902655957141443453914426228064844365027655151497450105488928473240366389231657551395871510361454923956103472491719752219696384525677997859166682654785149758041560636340681338257961303969028204103441800425516385125599074683649381738589717495325981473695554897547396733873487302068162365667307893509791493906574972990315673092720167747908336344790200896464495206830599975631467621029242432820925143638816849476118776807485178287215233073815157452948690260953667654860712445291932082279759409134816664515962917415985859449746353244759062667418631161841886201441924305932567694655898931841409524556179457234953969581001073643911131163686957293282311318465102864793747269976383248553435446476592710829101526588603335360149582962823324612822382349504283126398915773086342520621928233702940712643942390616461188652927611383403575134538310191020993032675972672617169004087612438926142996102937755049081183626809393117344757831173718313019228344147316907791009204553288601775505273092019252648151529607707292555498380356842702886139710637374312284650516511781697620205068708658784851893618772452584689162074067335459703963585465644824514982104264092799690746039517318847255333501885072383972299123535851145638261238054421518087487716908008435435557076809651014949643493787971639362920983826050032240067633878826365137018615453820535705498662537709711378004874838533087436962}
15375  1415406664744201532622296780728551800939742833451427281211559303: {30746,506913,599001,752689,844745,1013694,1059081,1075270,1290324,1505182,1536100,1843320,1885713,1966208,1977441,2041417,2073735,2150260,2211984,2435721,2488482,2580312,2593981,2710401,2902851,2916310,3071800,3142445,3350481,3455775,3499572,3653062,3686160,3770934,3806961,3931904,3970729,4146930,4389814,4423392,4627113,4718121,4976316,4991001,5172801,5218660,5431145,5672470,5989713,6178393,6262392,6344105,6352161,6517374,6536089,6806964,7045191,7428916,7557197,7612926,7710845,7888281,7940422,8109041,8158641,8165705,8454817,8563321,9058281,9253014,9337270,9596913,9798846,10079902,10134681,10369009,10434605,10455742,10582161,10769257,10939713,11174072,11204724,11343460,11362246,11386113,11559574,11642617,12078310,12277113,12355174,12510721,12521526,12570831,12643582,12721713,13399294,13549249,13612152,14051913,14350462,14399860,14491774,14493972,14509261,14715793,14812870,14945405,14965275,15313671,15344897,15962960,16084369,16169001,16231780,16330054,16632310,16907422,16957193,17279832,17485161,17557129,17634605,17728095,17775444,17934486,17958330,18062260,18081545,18451409,18649481,18712486,18883113,18909968,19035142,19155552,19241929,19271302,19356070,19405761,19439811,19462897,19478136,19562356,19840641,19865705,19958772,20101281,20310845,20431801,20500660,20735302,20852537,20908756,21093046,21104875,21161526,21273714,21549996,21674712,21697854,21844894,21912903,21950753,22009246,22087805,22387606,22437321,22857982,22930777,22947089,22977670,23101997,23116132,23212113,23227284,23838846,23857654,23859005,23977684,24070713,24153460,24264214,24267817,24373014,24384051,24554134,24600792,25325850,26062726,26156057,26291841,26323535,26505005,26505366,26614616,26632113,26795092,27014240,27141801,27193060,27338302,27396321,27488470,27532774,27573204,27635476,27675891,27904713,28122337,28223494,28269361,28327713,28630806,28984152,29014726,29087601,29148521,29261449,29458049,29621860,29631742,29677281,29941443,30012845,30277246,30391020,31243361,31322345,31441780,31588242,31606521,31667284,31730329,31742662,31806006,31878473,32191161,32193545,32206681,32366089,32417088,32441361,32607171,32608041,32631672,32654260,32848822,32941113,32967766,32986164,33910529,34480189,34558273,34576894,34668310,34828342,35337094,35344401,35426913,35458129,35535262,35546232,35644575,35663945,35695924,35839113,35921481,36015414,36168441,36469224,36527945,36579561,36710631,36738041,36797446,36888152,37154121,37390505,37586814,37605050,37730136,37797089,37856809,38020880,38058622,38381361,38493286,38632254,38780753,38920702,39119608,39185112,39521913,39989511,40055833,40070134,40188097,40738713,40787134,40871092,40997446,41027877,41034022,41062516,41223921,41254205,41499171,41601972,41802070,41888662,41950113,42331060,42340937,42433161,42446403,42692644,42707489,42773490,42796734,42890621,42900934,43163764,43388105,43687193,43833534,43887961,44009559,44048809,44083251,44239145,44275928,44356713,44430593,44602057,44868606,45074481,45126060,45154113,45338617,45346660,45513005,45625056,45869721,45876817,46237270,46621553,46682895,46741713,46937332,47052721,47374093,47628905,47727401,47762836,47898001,47949112,48004881,48051005,48111742,48134464,48164734,48241041,48529222,48664513,48921172,49101844,49105113,49403775,49505046,49795088,49810419,49895895,49918541,50162484,50239654,50299366,50324182,50654470,50764660,50774189,50797272,51300166,51328188,51414845,51496313,51512932,51524601,51912681,51937417,52065726,52145241,52567780,52697360,53086974,53165593,53175142,53222288,53721500,53909014,53942751,54151272,54339305,54369460,54415992,54458961,54503614,54535713,54615606,54699949,54919113,55484724,55494814,55574875,55684113,55791604,55874644,56019474,56149849,56439604,56531326,56749609,57146931,57154686,57206913,57319889,57661206,57661881,57738004,58390529,58410772,58567780,58899245,58947512,59021601,59143609,59284530,59366422,59399875,59723645,59758846,59801236,59875074,59909329,60135305,60148761,60598113,60785364,60897201,60917592,60920181,61217991,61345113,61624372,61662520,61697814,61829446,62015361,62124769,62164041,62386881,62467241,62501432,62926870,63079853,63081336,63236832,63571713,63824045,64014441,64461569,64465800,64657414,64678393,65093329,65142484,65207166,65243352,65347527,65444854,65483961,65538310,65948295,65962246,65968006,65976269,66315951,66434001,66579801,66602273,66689850,66699382,66800849,66871113,67222942,67810996,67868173,68113981,68292905,68311126,68394201,68416849,68479736,68532291,68731060,68759535,68763520,69107494,69327460,69370335,69475641,69632566,69647572,70281336,70314111,70344848,70551681,70664932,70679094,70712105,70966503,71118433,71135840,71141436,71279850,71622321,71668374,71835801,71854061,71915542,72022829,72162366,72183128,72282569,72524025,73343504,73373062,73398771,73485502,73821241,73915129,73995024,74194246,74196310,74271934,74278695,74596001,74758174,75113645,75512244,75569655,75675817,75703702,75850881,76031840,76122941,76311412,76385542,76418374,76525889,76588854,76745000,76789553,77039703,77358960,77485054,77780116,77794675,77863713,78168457,78443014,78509875,78522814,78553113,78645972,79066503,79137954,79219702,79230608,79308681,79432408,79820920,79956977,80027820,80101174,80171542,80214070,80338846,80607632,81047521,81070870,81132262,81145204,81206019,81453603,81951486,82369401,82450726,82477272,82511442,82516224,82613705,82640089,82975713,82988692,83006535,83107414,83192952,83197702,83244402,83443960,83707275,84035341,84048801,84199606,84490870,84565805,84649713,84849769,84854526,85049241,85065233,85122004,85165561,85183455,85363008,85369780,85381521,85535820,85643782,85790644,86120312,86121005,86189524,86338125,86546237,87028830,87178073,87362601,87625113,87679102,87764326,87945406,88013912,88327780,88540304,88606113,88749670,89035572,89134434,89192121,89287760,89322081,89361459,89798535,89963875,89972542,90038989,90089974,90136374,90368105,90487401,90683586,90752045,90808561,90862352,91049734,91238208,91340374,91452561,91812889,92094000,92476113,92552446,92666345,92786931,92830752,92950417,92990470,93043839,93049161,93171454,93176241,93318521,93353610,93366681,93522495,93592071,93874455,93961894,93996772,94211850,94231780,94652929,94969297,95331245,95439142,95513176,95697681,95785104,96033384,96089405,96101182,96210772,96250791,96256884,96316852,96351233,96376702,96885351,96968575,97285044,97480369,97501713,97872441,97990095,98057481,98119113,98233600,98664694,98714644,98989997,99015651,99136446,99346713,99577184,99607842,99757328,99789364,99832222,99896001,...,1763723243119970754000659298759885377799705374957601718761616162213562758495330174709797572486808550122369737835211348079657870396849698663980392199121548978177171269431149260832203389451528070480953699045506520139708322685782366145521190732878355810816024111749776780901358934195926017389792133850283387974431610507622212134673833878370026534383879083755363766943325247257400015958909575477941096315614532908854126391287506284464195717329671407420395681715414210212833734603473901945108545388149730173044337088983960826379289897117242670596105300936970474710110101937590976609478264682289365562135687604935698098345600015429717160084273707212122611495818408054688419502109077221483550884678484127674642106774536357720131976972915436133351164624353019612086197543045356802463632851100663760621465303117439457779304343483417260913894231032337538477031988566330878397766063718820312496166099765371139084787836436031276598033004988467657990736639670196513401850245268375631569940739836813081868259441544688706533363133626868202328790562522584415964184910668942421107645849982166358011353983935712165180871639342097266547541482727246175158233392709860549583847486327093807265542182385934155208737579628329544576788516996788750023982177724637062340954511022007386941955953542306155162700638274577688398612025474072607884576242988972210543332346321095100810230953102243548500961840264687240859862459485473509639080251621862504517185301344696742810245899963447201431543863649231387715458225274214178165211227767430822849610722736179423035391430501482291068667937898123419639113702224996773944376123978789174619529867138594001127946742762829302162886458898851541983848397762114286834269185852430954371501610465866696745530435939923466977697654297190620904964574872830153169714889066243652289882905003040224374444234986919233573524256424689598373659629513780932892350554411068965913585924691782979391417075105362701807465286531489549013959008925753506131418658389214494154406632573621775440214089676017136746760577469528842516220975361686513806829932902663257909638028878972227294411560938833247570535264054329209565956061468426975774767672546430307603062988177277840428158678877033743111101003189555945378198467236772473156396139199536119059275978270883000252827608575958448685303776718457391857081632277131231575362012653153335615214476522424465240681957459044381475739075048360101450818239547705527923180730803558247993806564567067007312257799631155443}
15376  1421732960956117082237103148207558116778781521973323234207658620: {46119,261103,399386,675884,720463,798668,1318466,1351592,1360543,1412108,1520541,1612905,1633783,1720432,1724719,1868186,1920125,1935486,2051138,2257773,2268823,2304150,2457760,2514284,2636588,2687825,2764980,2949312,2963738,3145826,3225390,3247628,3317976,3438823,3440416,3613868,3617743,3732723,3839750,3870468,4063783,4374465,4419319,4467308,4607700,4666096,4778138,4914880,5027912,5075948,5249358,5391103,5479593,5499866,5529240,5656401,5897856,6169484,6220395,6266983,6290828,6523325,6584721,6635088,6654668,6897068,7135663,7464474,7567303,7827990,7986284,8339719,8349856,8469548,8508705,8541506,8689832,8766319,9075952,9106303,9286145,9393588,9428186,9614119,9698503,9776061,9777313,9951223,10150568,10210446,10517708,10538383,10872319,10878188,11143374,11419389,11910633,12032023,12077708,12196543,12337352,12442783,12795884,12851743,13065128,13421263,13512908,13745119,13879521,13967590,14005905,14109548,14179325,14499938,14586284,14698269,14939632,15029023,15119853,15181484,15534146,15683613,16220738,16369484,16546222,16695368,16761108,16807086,16962284,17015190,17043369,17075738,17231503,17309119,17339361,17927138,17999825,18117465,18149536,18158143,18532761,18541183,18735884,18782289,18944066,18965373,19150303,19325296,19450586,19679503,19953700,20098941,20289725,20291906,20418228,20727319,20801623,21525693,21558668,21599790,21737661,21740958,22199719,22219305,22272583,22577825,22852903,23039776,23213263,23287789,23313548,23621186,23637460,23700592,23912648,23944440,23950946,24347670,24452945,24495081,24707119,24948465,25177484,25337623,25361133,25476943,25540736,25625825,25685383,25754719,25874348,25919748,25970848,26135945,26454188,26512663,26611696,26663166,26801708,26901729,26937495,27054938,27093390,27194143,27464719,27863138,28068729,28215368,28364952,28552713,28733328,28895165,28899616,28906953,28930472,29034105,29129719,29217204,29343534,29628506,29718103,29783119,29916428,29938158,29972105,30106946,30191825,30429319,30493543,30750990,30949484,30969712,31068319,31102953,31218266,31321903,31363134,31385119,31639569,31742289,31762903,31785128,31910571,31950823,32007746,32094284,32277133,32324994,32497352,32512068,32546781,32767341,32793626,32801056,33013869,33268270,33493865,33552319,33581409,33767800,33854719,33991325,34043546,34095343,34229657,34286973,34466505,34513663,34544345,34674198,34820066,34840926,35055788,35340488,35509484,35573143,35758269,35786481,35966526,35978863,36151663,36189068,36209119,36230190,36362306,36396321,36528428,36552343,36559521,36669026,36764272,36779719,36831201,36901188,37027325,37118623,37206284,37770284,37988775,38174408,38393743,38645536,38741437,38783468,39094089,39302225,39471583,39569708,39584105,39758049,39921924,40192638,40454426,40521360,40623943,40778383,40789590,40817825,40902626,41007453,41136223,41232705,41288503,41299161,41359806,41453214,41955473,42117656,42142028,42335241,42336319,42408008,42666173,42682466,42872503,42921548,42946209,43017223,43222784,43255148,43271138,43352383,43476228,43477388,43508896,43522089,43570702,43825063,43921484,43965463,43981552,44432790,44447613,44619905,44975263,45415869,45555583,45586530,45602786,46110190,46323866,46467319,46569502,47057503,47125868,47162670,47235884,47347303,47382363,47394976,47470106,47500926,47511319,47526100,47552143,47612738,47613993,47709009,47785484,47895308,47956423,48020552,48116119,48224588,48274663,48323738,48465506,48625632,48737249,48772748,48897319,48899510,48947508,48981390,49050103,49088119,49227841,49273233,49451649,49479246,49538828,49796743,49833319,50115752,50295386,50306848,50417081,50689543,50862703,51088865,51175148,51203623,51270943,51328145,51437983,51509672,51570319,51579073,51865341,51962906,52002465,52088143,52242513,52246816,52340143,52679119,52695884,52913825,53005641,53097943,53273119,53302893,53319348,53336666,53365805,53388463,53445703,53543886,53954705,54023121,54318284,54400783,54463937,54632119,54688753,54703836,54965228,54980383,55196169,55332228,55344910,55370306,55469296,55701319,55832863,55897663,55919119,55933484,56046343,56380221,56407575,56432119,56577548,56595204,56683325,56810119,56900119,57031320,57062312,57087933,57225703,57591053,57739929,57853183,57948381,58031426,58279063,58322119,58374319,58381053,58424719,58444712,58556263,58649719,58671665,58679412,58734463,58763119,58777668,58894663,58916119,58941319,58960183,59051983,59069623,59078119,59085463,59088703,59094319,59103823,59105119,59142284,59703545,59730266,59824808,59919769,59936390,60099308,60105201,60168080,60205484,60377186,60833408,61020506,61151465,61159628,61180701,61306638,61377305,61496169,61551033,61551742,61593774,61660226,62243860,62322284,62402958,62703105,62832993,63160237,63455825,63496590,63683138,64006508,64038966,64160235,64175566,64195101,64321388,64351401,64391165,64745646,64804826,65422946,65473484,65709725,65750301,65871700,66006728,66282266,66413892,66527860,66770138,66883312,67151875,67302909,67689090,67729696,67859426,67961825,67979738,68019990,68437584,68699468,69216908,69326782,69355905,69420968,69503357,69526988,69739505,69843305,70238306,70355738,70405998,70531678,70549505,70782632,71057306,71522138,71644254,71923668,72099938,72167613,72172505,72201696,72247101,72554656,72611948,72674138,72714284,72793833,72820808,73013465,73209725,73225484,73358426,73381758,73652766,73684390,73979632,74245484,74257569,74262746,74692632,74751545,75243726,75355273,75359481,75449049,75486273,75967793,75981705,76146990,76195908,76206248,76275884,76483226,76881608,76882508,76950249,76992282,77012173,77030465,77078150,77246786,77269398,77472766,78098589,78126790,78218138,78695468,78851670,79046040,79504558,79630461,79705946,79762713,79833432,80198348,80230466,80256241,80582250,80797484,80863521,81047152,81196268,81223456,81226908,81428105,81554190,81623988,81755421,81793484,81923409,81986906,82263752,82687148,82885388,83074937,83182508,83227086,83242221,83301986,83308654,83574029,83687406,83801306,83811966,83900738,84029211,84108448,84315776,84659406,84762284,84763745,84796989,85277666,85321214,85352588,85472066,85599670,85732029,85913825,85954400,85955546,86339738,86491809,86607006,86659325,86942888,86991136,87050909,87059465,87130036,87287662,87311948,87540733,87616158,87851670,87931060,88091926,88318946,88331165,88421268,88578668,88688738,88773068,88919800,88926795,89049633,89141261,89147738,89161484,89603138,89638269,89701854,89812611,89964866,90228910,91178046,91192268,91300826,91376388,91457422,91679380,91826138,92436558,92493780,92546721,92634188,92744169,93217033,93539738,93708448,93752148,93875546,94068908,94238792,94390305,94457666,94622004,94704986,94855248,95039800,95389265,95496428,95557832,95600738,95752189,95781068,95931250,96216488,96490793,96698700,96986121,97225145,97461782,97648706,97713726,97810749,97865028,97955138,98031386,98167281,98307465,98442838,98660032,98943369,98952009,99038260,99157826,99290510,99379226,99745346,99776150,99890786,...,2351630990826627672000879065013180503732940499943468958348821549618083677993773566279730096649078066829826317113615130772877160529132931551973856265495398637569561692574865681109604519268704093974604932060675360186277763581043154860694920977171141081088032148999702374535145245594568023186389511800377850632575480676829616179565111837826702045845172111673818355924433663009866687945212767303921461754152710545138835188383341712618927623106228543227194242287218946950444979471298535926811393850866306897392449451978614435172386529489656894128140401249293966280146802583454635479304352909719154082847583473247597464460800020572956213445698276282830148661091210739584559336145436295311401179571312170232856142366048476960175969297220581511134886165804026149448263390727142403284843801467551680828620404156585943705739124644556347885192308043116717969375984755107837863688084958427083328221466353828185446383781914708368797377339984623543987648852893595351202466993691167508759920986449084109157679255392918275377817511502490936438387416696779221285579880891923228143527799976221810681805311914282886907828852456129688730055310302994900210977856946480732778463315102791743020722909847912206944983439504439392769051355995718333365309570299516083121272681362676515922607938056408206883600851032770251198149367298763477179434990651962947391109795094793467746974604136324731334615787019582987813149945980631346185440335495816672689580401792928990413661199951262935242058484865641850287277633698952237553614970356574430466147630314905897380521907335309721424890583864164559518818269633329031925834831971718899492706489518125334837262323683772402883848611865135389311797863682819049112358914469907939162002147287822262327373914586564622636930205729587494539952766497106870892953185421658203053177206670720299165925646649225644764699008566252797831546172685041243856467405881425287884781232922377305855222766807150269076620382041986065351945345234338008175224877852285992205875510098162367253618786234689515662347436626038456688294633815582018409106577203551010546184038505296303059215414585110996760713685405772279421274748624569301033023563395240410137417317569703787237544905169378324148134670919407927170931289649029964208528185599381492079034637694510667003770144767944598247071702291276522476108843036174975433816016870871114153619302029899286987575943278725841967652100064480135267757652730274037230907641071410997325075419422756009749677066174873924}
15377  1428087308592918854067893958308466994833249080557109469474095529: {15377,61492,599079,844855,998335,1013826,1182643,1198002,1505378,1689490,1765135,1977699,2027388,2118162,2150540,2580648,2802279,2870263,2903229,3010364,3072200,3076707,3142855,3295735,3456225,3686640,3771426,3932416,3954882,4059535,4082834,4147470,4300520,4399423,4423968,4445607,4517335,4718739,4838085,4871442,4976964,5160624,5187962,5420802,5584135,5759625,5805702,5832620,6143600,6238903,6284890,6344935,6700962,6911550,6999144,7167207,7306124,7372320,7541868,7558183,7603603,7613922,7711855,7863535,7863808,7874037,7919923,7941458,8078383,8110099,8249799,8293860,8318335,8446279,8621335,8779628,8846784,8881747,8927479,9254226,9436242,9934243,9952632,9982002,9982855,10345602,10437320,10586935,10677343,10795183,10862290,11196711,11275363,11344940,11431987,11741985,11979426,12235087,12356786,12524784,12688210,12704322,12812259,12883279,13034748,13072178,13147135,13284403,13597735,13613928,13791607,14090382,14142279,14440159,14608447,14857832,14956183,15097135,15114394,15225852,15315669,15421690,15776562,15865063,15880844,15994855,16218082,16292023,16317282,16331410,16546867,16715061,16891135,16909634,17126642,17150179,17292979,17636935,17959843,18116562,18200023,18232855,18453823,18506028,18674540,18971167,18976855,19193826,19597692,20040319,20159804,20269362,20461855,20622163,20738018,20869210,20911484,20923567,20951385,21164322,21202855,21538514,21555847,21749907,21879426,22290643,22348144,22409448,22686920,22724492,22772226,23105023,23119148,23208583,23282083,23285234,23301219,23419855,23557267,24156620,24331107,24554226,24688447,24710348,24819333,24940663,24942125,25021442,25043052,25141662,25168687,25210629,25287164,25314163,25443426,25522785,25613607,25819879,25941799,26159479,26199703,26798588,26890707,26948335,27042703,27098498,27119287,27224304,27811987,27920563,27959923,28103826,28416099,28435183,28700924,28799720,28912279,28983548,28987944,29018522,29141935,29152339,29175879,29431586,29461903,29546825,29625740,29890810,29903203,29930550,29977807,30437859,30627342,30689794,30895027,30922927,31455343,31471855,31925920,32168738,32212279,32338002,32342935,32399685,32463560,32611437,32660108,32888047,33067735,33264620,33402607,33502135,33814844,33914386,34559664,34970322,34981279,35114258,35269210,35431779,35456190,35550888,35868972,35916660,35926419,36124520,36163090,36521505,36852949,36902818,36955063,37107007,37298962,37395535,37424972,37674559,37766226,37802083,37819936,37900003,38055007,38070284,38130103,38311104,38483858,38542604,38686855,38712140,38811522,38879622,38925794,38956272,39124712,39271699,39383479,39611359,39681282,39731410,39917544,39994749,40111663,40117855,40202562,40582407,40621690,40640085,40863602,41001320,41470604,41705074,41794707,41817512,41943943,42017983,42186092,42209750,42323052,42346483,42547428,42896239,43099992,43132927,43349424,43395708,43689788,43776223,43819735,43825806,43851283,43901506,44015301,44018492,44175610,44386855,44442759,44478067,44664967,44669287,44775212,44874642,44907237,45070963,45160419,45236335,45660535,45682159,45715964,45831799,45861554,45894178,45955340,46126485,46203994,46232264,46424226,46454568,46507855,46597939,46827399,46953379,47044701,47212855,47292823,47677692,47715308,47718010,47948767,47955368,48011619,48063187,48141426,48306920,48479335,48487491,48528428,48535634,48580279,48746028,48768102,49108268,49190439,49201584,49345279,49462135,49902405,49929523,50472487,50651700,50919283,51065319,51139123,51289663,51630319,51827479,52011297,52125452,52230099,52261389,52312114,52346707,52583682,52647070,52677535,53010010,53010732,53116579,53229232,53264226,53361199,53590184,53651935,53949789,54028480,54068935,54283602,54339463,54345285,54346735,54386120,54543459,54676604,54792642,54901855,54976940,55003539,55065548,55098199,55146408,55270952,55351782,55809426,56244674,56446988,56538722,56655426,56747623,57261612,57384367,57650263,57755887,57809383,57968304,58029452,58175202,58295479,58297042,58333267,58522898,58904983,58907335,58916098,59044855,59243720,59263484,59354562,59407625,59731855,59869135,59882886,60025690,60280735,60288957,60307447,60554492,60681639,60743347,60782040,60859279,60965935,61184385,61353939,61436623,61923535,61934803,62039709,62179821,62486722,62644690,62883560,63123379,63165199,63176484,63213042,63334568,63460658,63485324,63612012,63664087,63718207,63753103,63756946,63968935,64023699,64328959,64382322,64387090,64413362,64732178,64834176,64882722,64906707,65214342,65216082,65260003,65263344,65308520,65356053,65369623,65674879,65697644,65869855,65882226,65935532,65972328,66156919,66649185,66680467,67045159,67271407,67291543,67299679,67741687,67821058,67897855,68049463,68379795,68404179,68706535,68890723,68960378,69011143,69116546,69153788,69165285,69336620,69447247,69485799,69656684,69854253,69916855,70059427,70674188,70688802,70721935,70744005,70853826,70916258,71025847,71070524,71092464,71205159,71251389,71289150,71327890,71391848,71419107,71678226,71842962,71980783,72030828,72045283,72336882,72485607,72535447,72698259,72719779,72938448,73055890,73159122,73349265,73421262,73472085,73476082,73594892,73713907,73738183,73776304,73927855,74218869,74308242,74781010,75124135,75173628,75210100,75256855,75443079,75460272,75594178,75713618,76041760,76075027,76117244,76449535,76762722,76986572,77124679,77264508,77561506,77606899,77804825,77841404,77902855,77944359,78239216,78282007,78370224,78439603,78561607,78952639,79043826,79706803,79979022,80004999,80008135,80111666,80140268,80315829,80376194,80401735,80496103,80817487,81033439,81372799,81477426,81574268,81604963,81742184,81841855,81994892,82055754,82068044,82125032,82339625,82447842,82458943,82508410,82667383,82998342,83017365,83055459,83159825,83203944,83604140,83613103,83777324,83900226,84189427,84662120,84677347,84681874,84866322,84892806,85372783,85385288,85391779,85408243,85414978,85546980,85593468,85781242,85801868,85874335,86295607,86327528,86521135,86776210,86908735,87047139,87374386,87424879,87667068,87775922,88019118,88097618,88166502,88478290,88551856,88561687,88713426,88861186,89204114,89353663,89595399,89737212,89904585,90148962,90252120,90308226,90439687,90565779,90677234,90678103,90693320,90764935,90892855,91026010,91250112,91285459,91530759,91531855,91739442,91753634,91959957,92327613,92390661,92474540,92490339,92514943,92614423,92623303,92777383,92806855,93243106,93365790,93483426,93580243,93604437,93753967,93874664,94012339,94105442,94748186,95244885,95257810,95344855,95428003,95454802,95524707,95525672,95610067,95796002,95898224,96009762,96055567,96058449,96102010,96103135,96156223,96223484,96263349,96268928,96329468,96482082,97058444,97118469,97207239,97299763,97329026,97416799,97827727,97842344,98134419,98203688,98210226,98369335,98545843,98807550,98996947,99010092,99423399,99479479,99541543,99590176,99620838,99791790,99837082,...,3527446486239941508001318597519770755599410749915203437523232324427125516990660349419595144973617100244739475670422696159315740793699397327960784398243097956354342538862298521664406778903056140961907398091013040279416645371564732291042381465756711621632048223499553561802717868391852034779584267700566775948863221015244424269347667756740053068767758167510727533886650494514800031917819150955882192631229065817708252782575012568928391434659342814840791363430828420425667469206947803890217090776299460346088674177967921652758579794234485341192210601873940949420220203875181953218956529364578731124271375209871396196691200030859434320168547414424245222991636816109376839004218154442967101769356968255349284213549072715440263953945830872266702329248706039224172395086090713604927265702201327521242930606234878915558608686966834521827788462064675076954063977132661756795532127437640624992332199530742278169575672872062553196066009976935315981473279340393026803700490536751263139881479673626163736518883089377413066726267253736404657581125045168831928369821337884842215291699964332716022707967871424330361743278684194533095082965454492350316466785419721099167694972654187614531084364771868310417475159256659089153577033993577500047964355449274124681909022044014773883911907084612310325401276549155376797224050948145215769152485977944421086664692642190201620461906204487097001923680529374481719724918970947019278160503243725009034370602689393485620491799926894402863087727298462775430916450548428356330422455534861645699221445472358846070782861002964582137335875796246839278227404449993547888752247957578349239059734277188002255893485525658604325772917797703083967696795524228573668538371704861908743003220931733393491060871879846933955395308594381241809929149745660306339429778132487304579765810006080448748888469973838467147048512849379196747319259027561865784701108822137931827171849383565958782834150210725403614930573062979098027918017851507012262837316778428988308813265147243550880428179352034273493521154939057685032441950723373027613659865805326515819276057757944454588823121877666495141070528108658419131912122936853951549535345092860615206125976354555680856317357754067486222202006379111890756396934473544946312792278399072238118551956541766000505655217151916897370607553436914783714163264554262463150724025306306671230428953044848930481363914918088762951478150096720202901636479095411055846361461607116495987613129134134014624515599262310886}
15378  1434469831048490037946329741189839638320382985657320044936504658: {76865,92238,261137,291821,445121,522206,720557,798772,903821,1086797,1208621,1351768,1360721,1440926,1520739,1542977,1597336,1633997,1664321,1797003,2088017,2258067,2299277,2534235,2636932,2688175,2703184,2720621,2721086,2824216,2900717,3041082,3177243,3225810,3267566,3440864,3449438,3469121,3618221,3648017,3736372,3762955,3840250,3870972,3886097,4093997,4102276,4182977,4515546,4537646,4608300,4774337,4915520,5028568,5215757,5273176,5375650,5529960,5657139,5898624,5927476,5932323,6122321,6124251,6221205,6291652,6296897,6442157,6450780,6495256,6558221,6635952,6703121,6877646,6880832,7227736,7235486,7251917,7290775,7307163,7309517,7424621,7465446,7568321,7679500,7740936,7781943,8112557,8127566,8131203,8255297,8708553,8748930,8838638,8852621,8934616,8965997,9132655,9135821,9215400,9305357,9332192,9427335,9446417,9530957,9556276,9727937,9829760,10051443,10055824,10151896,10367325,10400321,10498716,10782206,10818221,10959186,10974535,10984877,10999732,11058480,11068097,11312802,11420883,11483117,11795712,11912187,11951297,12033677,12061121,12338968,12440790,12471821,12533966,12581656,13000603,13046650,13169442,13270176,13309336,13423121,13585217,13666157,13794136,13881339,13935437,13989197,14069777,14154363,14181175,14257517,14271326,14498321,14791757,14928948,14973003,15057677,15134606,15518403,15655980,15666257,15972568,16087121,16293435,16636397,16679438,16699712,16766657,16939096,17017410,17026577,17083012,17379664,17389121,17532638,17969139,18151904,18186317,18212606,18263057,18390797,18535179,18569297,18572290,18645677,18787176,18856372,19032315,19056483,19153037,19228238,19329857,19397006,19552122,19554626,19608267,19851055,19902446,20158157,20301136,20420892,20457197,20804621,21035416,21076766,21135573,21421121,21690797,21744638,21756376,21788621,22008257,22275821,22286748,22300097,22372877,22671591,22735697,22838778,22856237,22880321,23132535,23216657,23240621,23343175,23360321,23664843,23821266,23955821,24064046,24155416,24287117,24327123,24393086,24452177,24475923,24497115,24569837,24674704,24885566,25199755,25364451,25364621,25591768,25619777,25689963,25703486,26130256,26139355,26516621,26721857,26842526,26881037,27025816,27174843,27198221,27490238,27536321,27671057,27738317,27759042,27935180,28006637,28011810,28207121,28219096,28296017,28358650,28405615,28561937,28790739,28898935,28999876,29068397,29172568,29396538,29548877,29744321,29879264,30058046,30195775,30239706,30362968,30404043,30519617,30839597,30887935,30903377,31068292,31107027,31136621,31263437,31303815,31367226,31537217,31608955,31746483,31767821,31851437,32307771,32441476,32701121,32738968,32783297,32819139,33008621,33092444,33390736,33436097,33498235,33522216,33614172,33799697,33924568,34030380,34086738,34120721,34151476,34158339,34234123,34300397,34419821,34463006,34538957,34618238,34638017,34678722,34894637,34927851,34992977,35110721,35228177,35578817,35714477,35811137,35854276,35876155,35999650,36061517,36229435,36234930,36299072,36316286,36444077,36590323,36728897,36831339,36842321,37032175,37065522,37082366,37124621,37143377,37471768,37532163,37564578,37591121,37712493,37888132,37930746,37960721,38144321,38165139,38300606,38400017,38650592,38672237,38798657,38901172,39121937,39157697,39229121,39359006,39495821,39601997,39907400,39918797,40111121,40197882,40453231,40475597,40579450,40583812,40647747,40647917,40785197,40825135,40836456,41312321,41454638,41497517,41580775,41603246,41665037,41898221,41960947,41964557,42047297,42155739,42162797,42268555,42879821,43024577,43051386,43117336,43184657,43199580,43216577,43475322,43481916,43527783,43691537,44147379,44390477,44399438,44438610,44545166,44619857,44680721,44817197,44836215,44847437,44895825,44998157,45155650,45267437,45705806,45710477,45871121,45929297,45941013,46034691,46079552,46088621,46175117,46232621,46426526,46432877,46518221,46575578,46627096,46781215,46891411,46954577,47065937,47079821,47149121,47242372,47274920,47355821,47369537,47401184,47587855,47825296,47888880,47901892,48178255,48243917,48253107,48362083,48390175,48440897,48507003,48571217,48695340,48905890,48990162,49059137,49071821,49248557,49414238,49560257,49818221,49879121,49896930,50132717,50311697,50354968,50423659,50488877,50675246,50710721,50722266,50871579,50953886,51081472,51213377,51251650,51370766,51447821,51509438,51624077,51748696,51819917,51838255,51839496,51938321,51941696,52002497,52271890,52298177,52453997,52455483,52515821,52671387,52732615,52760237,52903815,52908376,52910657,52970321,53025326,53059277,53108417,53184285,53223392,53312621,53326332,53456321,53603416,53803458,53874990,54049217,54103121,54109876,54186780,54201197,54227777,54244635,54359597,54388286,54411821,54420497,54446477,54471043,54612235,54719117,54918221,54929438,54991697,54999821,55023115,55120721,55168577,55231937,55354227,55357121,55417747,55518317,55653677,55698221,55726276,55764497,55801037,55851857,55948443,55969015,56058221,56137458,56203457,56223917,56291597,56365121,56391617,56430736,56489837,56598977,56649339,56662097,56729904,56755277,56894657,56953937,56965697,57104321,57105426,57144955,57155117,57221837,57271121,57292817,57373037,57404621,57444175,57466656,57528077,57583121,57598567,57685517,57725787,57775121,57790330,57799232,57813906,57816557,57860944,57870797,57932621,58014017,58059821,58068210,58100621,58120721,58144577,58160321,58214417,58217283,58259438,58292621,58296257,58319433,58388691,58401617,58428497,58434408,58515437,58524737,58570157,58573121,58587821,58633517,58647377,58687068,58784321,58839821,58868717,58888397,58892237,58967057,58976321,59018321,59064077,59067821,59075777,59084621,59097617,59101121,59104337,59110721,59116097,59120717,59257012,59436206,59521923,59566238,59583823,59597115,59644135,59832856,59876316,59944210,60213892,60303843,60383650,60660535,60858638,60871459,60932535,60987086,61295403,61385335,61501980,61898968,61939424,62136638,62205906,62436532,62467867,62557611,62643806,62726268,62770238,63279138,63314625,63484578,63525806,63570256,63821142,63901646,64015492,64188568,64366471,64554266,64649988,64994704,65024136,65093562,65156815,65534682,65587252,65602112,65738709,65852259,66027738,66263415,66536540,66987730,67104638,67162818,67311963,67535600,67709438,67982650,68087092,68190686,68345755,68459314,68573946,68583163,68721175,68792331,68831935,68841267,68933010,69027326,69088690,69305991,69348396,69636339,69640132,69681852,70111576,70558735,70680976,71018968,71146286,71516538,71524411,71572962,71577015,71859403,71933052,71957726,72212139,72303326,72378136,72418238,72460380,72536815,72724612,72792642,72803451,73056856,73104686,73119042,73152153,73338052,73528544,73559438,73662402,73802376,74054650,74079355,74237246,74412568,74712127,75536587,75540568,75693115,75977550,76348816,76787486,77291072,77482874,77566936,78188178,78468171,78604450,78875523,78943166,78970605,79139416,79168210,79356655,79515015,79516098,79673539,79843848,79896339,80385276,80908852,81042720,81247886,81425403,81556766,81579180,81635650,81805252,82014906,82122055,82140331,82188963,82272446,82419415,82465410,82577006,82598322,82719612,82906428,83027673,83584963,83714139,83910946,84235312,84284056,84367011,84670482,84672638,84808083,84816016,84983139,85332346,85364932,85612051,85745006,85843096,85892418,85928227,86034446,86442235,86445568,86510296,86542276,86670775,86704766,86952456,86954776,87017792,87044178,87070855,87141404,87262803,87445563,87650126,87784347,87842968,87930926,87963104,88342735,88374147,88804243,88838155,88865580,88895226,89031843,89239810,89780119,89824329,89950526,90038535,90147631,90831738,91111166,91173060,91205572,91993615,92220380,92647732,92848459,92934638,93139004,93730083,93967035,94012625,94115006,94251736,94325340,94471768,94694606,94764726,94789952,94819563,94940212,95001852,95022638,95052200,95104286,95146555,95190987,95225476,95227986,95418018,95570968,95635419,95790616,95912846,96041104,96232238,96233215,96449176,96549326,96573483,96580635,96620043,96647476,96931012,97098267,97251264,97301755,97324083,97474498,97545496,97635307,97780627,97794638,97799020,97821513,97824123,97895016,97962780,98100206,98176238,98179471,98455682,98546466,98769307,98823339,98903298,98958492,99077656,99593486,99666638,...,5291169729359912262001977896279656133399116124872805156284848486640688275485990524129392717460425650367109213505634044238973611190549095991941176597364646934531513808293447782496610168354584211442861097136519560419124968057347098436563572198635067432448072335249330342704076802587778052169376401550850163923294831522866636404021501635110079603151637251266091300829975741772200047876728726433823288946843598726562379173862518853392587151989014222261187045146242630638501203810421705835325636164449190519133011266951882479137869691351728011788315902810911424130330305812772929828434794046868096686407062814807094295036800046289151480252821121636367834487455224164065258506327231664450652654035452383023926320323609073160395930918746308400053493873059058836258592629136070407390898553301991281864395909352318373337913030450251782741682693097012615431095965698992635193298191156460937488498299296113417254363509308093829794099014965402973972209919010589540205550735805126894709822219510439245604778324634066119600089400880604606986371687567753247892554732006827263322937549946499074034061951807136495542614918026291799642624448181738525474700178129581648751542458981281421796626547157802465626212738884988633730365550990366250071946533173911187022863533066022160825867860626918465488101914823733065195836076422217823653728728966916631629997038963285302430692859306730645502885520794061722579587378456420528917240754865587513551555904034090228430737699890341604294631590947694163146374675822642534495633683302292468548832168208538269106174291504446873206003813694370258917341106674990321833128371936367523858589601415782003383840228288487906488659376696554625951545193286342860502807557557292863114504831397600090236591307819770400933092962891571862714893724618490459509144667198730956869648715009120673123332704960757700720572769274068795120978888541342798677051663233206897740757774075348938174251225316088105422395859594468647041877026777260518394255975167643482463219897720865326320642269028051410240281732408586527548662926085059541420489798707989773728914086636916681883234682816499742711605792162987628697868184405280927324303017639290922809188964531833521284476036631101229333303009568667836134595401710317419469188417598608357177827934812649000758482825727875346055911330155372175571244896831393694726086037959460006845643429567273395722045872377133144427217225145080304352454718643116583769542192410674743981419693701201021936773398893466329}
15379  1440880652255184433852957108567294144368472837982780743159028835: {30754,122984,138357,783309,998465,1182797,1198158,1397669,1689710,1996670,2027652,2161389,2365286,2396004,2471189,3010756,3207941,3296165,3378980,3392129,3530270,3955398,4054776,4081629,4236324,4301080,4399997,4561623,4614029,4670465,4838715,4901349,5127845,5161296,5174157,5604558,5683349,5740526,5760375,5806458,6020728,6144400,6153414,6239717,6285710,6324269,6591470,6773319,6806469,6912450,7373249,7373280,7409345,7542852,7817789,7864565,7864832,7909764,8063475,8079437,8119070,8165668,8294940,8447381,8601040,8798846,8847936,8882909,8891214,9028781,9034670,9359909,9437478,9599375,9676170,9742884,9953928,10270997,10316469,10321248,10375924,10550657,10796597,10841604,10853229,11008949,11168270,11198169,11198189,11519250,11611404,11645669,11665240,11740469,11933501,11945345,12069869,12191349,12287200,12477806,12569780,12689870,13036469,13123395,13257957,13286141,13325429,13401924,13674509,13749665,13771781,13823100,13975997,13998288,14334414,14612248,14744640,14821709,15083736,15116366,15144557,15207206,15227844,15414149,15423710,15699749,15727070,15727616,15748074,15839846,15882916,16156766,16173309,16220198,16294157,16430849,16438779,16499598,16587720,16636670,16892558,16969203,17242670,17559256,17675489,17693568,17731541,17763494,17854958,18295541,18405989,18508452,18661185,18800949,18872484,18973649,19036829,19087829,19254209,19455197,19569975,19754163,19868486,19905264,19964004,19965710,20437157,20624861,20691204,20874640,21135989,21173870,21203069,21225269,21291677,21353765,21354686,21406989,21590366,21724580,22392797,22393422,22550726,22689880,22701909,22863974,23483970,23560349,23570465,23647589,23958852,24091829,24340709,24470174,24691709,24713572,25019157,25049568,25275437,25376420,25408644,25525997,25526115,25624518,25766558,25823261,26069496,26144356,26294270,26298957,26567597,26568806,26718509,27046241,27195470,27227856,27318909,27515189,27583214,27758309,27858435,27963581,28129709,28180764,28284558,28646597,28842357,28880318,28907717,29095509,29216894,29282021,29328183,29331939,29475329,29683997,29715664,29853669,29912366,29981729,30194270,30228788,30237317,30451704,30631338,30843380,30899069,31553124,31615149,31730126,31761688,31989710,32341409,32436164,32584046,32616957,32634564,32662820,32787797,32997029,33093734,33430122,33624677,33782270,33819268,34042829,34169057,34253284,34258167,34300358,34585958,34918975,34985861,35273870,35340149,35731899,35919686,36096069,36233124,36249845,36400046,36465710,36589629,36757229,36907646,37012056,37328349,37349080,37393781,37727669,37942334,37953710,38069057,38135141,38207777,38387652,38555229,38757749,38835365,39195384,40080638,40116917,40263789,40319608,40538724,40551845,40798709,40923710,41235357,41241569,41244326,41365555,41476036,41638563,41738420,41822968,41847134,41902770,41949437,42017715,42099581,42116429,42328644,42405710,42537975,42689345,43077028,43111694,43499814,43758852,43781957,43989989,44060597,44094807,44581286,44613749,44675189,44696288,44817845,44818896,45062849,45087069,45280109,45359559,45373840,45448984,45544452,45982277,46210046,46238296,46294829,46417166,46564166,46570468,46602438,46839710,46860389,46902989,47050839,47114534,47360165,47910557,48176801,48207389,48313240,48626465,48648749,48662214,49108452,49376894,49420696,49423901,49638666,49881326,49884250,49919669,50042884,50086104,50283324,50337374,50421258,50554397,50574328,50628326,50729765,50860997,50886852,51045570,51130107,51227214,51639758,51694509,51883598,51927357,52018083,52318958,52353629,52353749,52399406,53597176,53781414,53896670,53999475,54085406,54161597,54184709,54196996,54238574,54352395,54448608,54474429,54883589,54917141,55490357,55598283,55623549,55623974,55719917,55841126,55919846,56164997,56207652,56346867,56832198,56870366,56896119,56955617,56958557,57323741,57391949,57401848,57413057,57450909,57599440,57824558,57967096,57975888,58037044,58283870,58304678,58351758,58863172,58923806,59038509,59052965,59093650,59251480,59781620,59806406,59861100,59877365,59955614,60296823,60613457,60732341,60869175,60875718,61250657,61254684,61347629,61379588,61434689,61790054,61796237,61845854,61950737,62141597,62181957,62404869,62910686,62943710,63330869,63851840,63924749,64135469,64337476,64424558,64577079,64676004,64685870,64799370,64927120,65110997,65212983,65222874,65320216,65776094,65834981,66097997,66135470,66529240,66556421,66599157,66657915,66805214,66817749,67004270,67466957,67629688,67637345,67733475,67828772,67871069,68132129,68558709,68664461,68894657,69119328,69173729,69219557,69246989,69524237,69639789,69657845,69863367,69940644,69962558,70204181,70228516,70538420,70863558,70912380,71038301,71101776,71368949,71737944,71788949,71833320,71852838,72092141,72249040,72326180,72501437,73043010,73358835,73485243,73705898,73748549,73805636,73910126,74071265,74121357,74214014,74597924,74600357,74791070,74845395,74849944,75112709,75267365,75349118,75532452,75604166,75639872,75696509,75800006,76012869,76083399,76085429,76110014,76140568,76260206,76430829,76622208,76862597,76877475,76967716,77056149,77085208,77130101,77255009,77264157,77373710,77424280,77623044,77759244,77851588,77912544,78045665,78249424,78407835,78543398,78766958,79222718,79362564,79381829,79462820,79526369,79537989,79835088,79989498,80019365,80223326,80235710,80405124,80628269,80705187,80812485,81069029,81164814,81176657,81243380,81280170,81416309,81582429,81615941,81727204,81984065,82002640,82394157,82470269,82662797,82941208,83170675,83410148,83589414,83624597,83635024,83759009,83816789,83887886,84035966,84206187,84372184,84393029,84419500,84579437,84646104,84692966,85094856,85108865,85352309,85658139,85792478,85941557,86199984,86265854,86619101,86685495,86692949,86698848,86720859,86791416,87050165,87102315,87379576,87389157,87552446,87639470,87651612,87702566,87803012,87804149,87814109,87908609,88030602,88036984,88235477,88351220,88773710,88885518,88956134,89072129,89154309,89177957,89329934,89338574,89349357,89537309,89550424,89556509,89749284,89814474,89916315,90141926,90320838,90472670,90575475,90905765,91287957,91321070,91364318,91431928,91480629,91663598,91672565,91723108,91788356,91910680,92217797,92252970,92407988,92464528,92473709,92635541,92701349,92848452,92909136,92939957,93015710,93195878,93204957,93308859,93454181,93654798,93751937,93906758,93965709,94022717,94089402,94155357,94198949,94425710,94585646,94918707,95056997,95226867,95288709,95355384,95430616,95436020,95731713,95852469,95897534,95910736,96023238,96126374,96189149,96282852,96442229,96535469,96613840,96831399,96958670,96974982,97056856,97071268,97160558,97303109,97492056,97536204,97624637,97640343,97883597,98110157,98216536,98302023,98380878,98403168,98690558,98864849,98924270,98980709,99010709,99011117,99041607,99255869,99777869,99804810,99859046,...,7054892972479883016002637195039541511198821499830406875046464648854251033981320698839190289947234200489478951340845392318631481587398794655921568796486195912708685077724597043328813557806112281923814796182026080558833290743129464582084762931513423243264096446999107123605435736783704069559168535401133551897726442030488848538695335513480106137535516335021455067773300989029600063835638301911764385262458131635416505565150025137856782869318685629681582726861656840851334938413895607780434181552598920692177348355935843305517159588468970682384421203747881898840440407750363906437913058729157462248542750419742792393382400061718868640337094828848490445983273632218753678008436308885934203538713936510698568427098145430880527907891661744533404658497412078448344790172181427209854531404402655042485861212469757831117217373933669043655576924129350153908127954265323513591064254875281249984664399061484556339151345744125106392132019953870631962946558680786053607400981073502526279762959347252327473037766178754826133452534507472809315162250090337663856739642675769684430583399928665432045415935742848660723486557368389066190165930908984700632933570839442198335389945308375229062168729543736620834950318513318178307154067987155000095928710898548249363818044088029547767823814169224620650802553098310753594448101896290431538304971955888842173329385284380403240923812408974194003847361058748963439449837941894038556321006487450018068741205378786971240983599853788805726175454596925550861832901096856712660844911069723291398442890944717692141565722005929164274671751592493678556454808899987095777504495915156698478119468554376004511786971051317208651545835595406167935393591048457147337076743409723817486006441863466786982121743759693867910790617188762483619858299491320612678859556264974609159531620012160897497776939947676934294097025698758393494638518055123731569402217644275863654343698767131917565668300421450807229861146125958196055836035703014024525674633556857976617626530294487101760856358704068546987042309878115370064883901446746055227319731610653031638552115515888909177646243755332990282141056217316838263824245873707903099070690185721230412251952709111361712634715508134972444404012758223781512793868947089892625584556798144476237103913083532001011310434303833794741215106873829567428326529108524926301448050612613342460857906089697860962727829836177525902956300193440405803272958190822111692722923214232991975226258268268029249031198524621772}
15380  1447319896686157528777670765380634874106953638338769718808298530: {46131,107611,153730,184476,291859,475819,522274,583642,890242,934459,1025971,1044412,1117411,1441114,1573531,1597544,1664539,1797237,1807642,2118499,2173594,2417242,2480371,2534565,2703536,2721442,2751019,2881852,2931091,2995005,3041478,3085954,3194672,3267994,3328642,3547929,3594006,3648499,3763445,4176034,4223725,4516134,4598554,4627411,5068470,5245819,5268137,5273864,5295405,5376350,5406368,5441242,5442172,5509771,5648432,5801434,5933097,5948251,6082164,6354486,6451620,6472051,6535132,6819811,6881728,6898876,6938242,7236442,7296034,7472744,7525910,7680500,7741944,7772194,8187994,8204552,8365954,8406837,8610789,8709687,8882179,9031092,9052171,9075292,9216600,9230121,9428565,9475891,9548674,9831040,9887205,10057136,10207085,10368675,10431514,10546352,10652731,10751300,10986379,11059920,11314278,11484691,11797248,11854952,11864646,11980411,12062779,12178605,12244642,12248502,12442410,12583304,12593794,12719131,12785717,12884314,12901560,12969905,12990512,13116442,13198269,13271904,13289659,13336821,13406242,13552005,13755292,13761664,14156217,14259499,14455472,14470972,14503834,14514255,14581550,14614326,14619034,14820451,14849242,14900299,14930892,15136642,15359000,15364349,15481872,15536491,15563886,15712225,16089379,16225114,16255132,16262406,16510594,16752405,17278875,17417106,17417419,17494891,17497860,17677276,17705242,17869232,17931994,18265310,18265651,18271642,18430800,18610714,18664384,18716709,18854670,18892834,19034805,19061914,19112552,19332619,19455874,19659520,19853645,20102886,20111648,20161051,20303792,20310739,20734650,20800642,20997432,21424219,21501621,21564412,21636442,21918372,21949070,21969754,21999464,22116960,22136194,22303339,22625604,22674549,22739011,22810809,22841766,22883659,22966234,23135565,23172091,23244019,23590605,23591424,23622111,23759769,23816851,23824374,23888131,23902594,24067354,24122242,24235149,24243451,24314299,24330297,24677936,24749397,24881580,24943642,24955005,25067932,25163312,25228771,25338837,25864005,26001206,26093300,26338884,26540352,26618672,26645241,26748619,26782437,26846242,27155725,27170434,27332314,27360331,27588272,27697651,27762678,27764899,27791477,27870874,27978394,28033171,28139554,28233619,28308726,28362350,28515034,28542652,28566259,28996642,29028931,29226139,29583514,29802729,29857896,29878819,29943691,29946006,29948565,30115354,30269212,30588451,30844339,30891965,30908131,31036806,31311960,31332514,31720525,31760805,31919011,31945136,32032029,32174242,32385549,32586870,32603299,32680445,32726779,32788411,33272794,33358876,33399424,33400771,33533314,33590133,33825139,33826089,33878192,34005931,34034820,34053154,34066051,34166024,34295961,34759328,34778242,34900171,35065276,35135899,35194651,35225955,35253331,35279657,35545651,35938278,36303808,36372634,36425212,36526114,36595097,36705261,36781594,36867139,37070358,37138594,37144580,37149379,37291354,37485691,37574352,37712744,37785985,37874779,38064630,38112966,38306074,38436777,38456476,38554225,38649837,38659714,38696659,38794012,39104244,39109252,39128371,39216534,39441405,39608539,39702110,39767861,39804892,39853209,39925411,40135219,40239691,40316314,40458509,40499611,40545205,40602272,40793205,40828525,40841784,40914394,41217811,41374821,41609242,41722171,41921899,41971651,42070832,42070939,42153532,42271146,42274085,42426837,42709291,42816605,42842242,43144099,43243109,43320477,43381594,43489276,43512752,43577242,43825341,43949491,44016514,44252537,44413531,44551642,44573496,44597131,44600194,44688499,44745754,44868549,45096091,45291405,45343182,45471394,45677556,45712474,45718531,45760642,45893779,45947007,46197691,46265070,46433314,46455379,46481242,46686350,46720642,46897529,47088259,47171419,47329686,47378059,47595189,47623651,47642532,47911642,47984565,48128092,48310832,48462811,48574234,48580099,48654246,48786172,48876069,48904354,48951846,48994230,49042771,49080859,49139674,49270219,49349408,49532299,49640601,49771132,49900579,49937011,50145183,50226617,50333011,50368579,50399510,50673405,50685451,50721209,50728902,50729242,50858971,51183536,51239554,51368731,51379926,51406972,51450537,51633979,51845045,51878937,51959059,52023211,52173025,52213939,52260512,52278710,52308331,52464211,52495171,52910805,53033242,53332819,53443714,53685052,53762074,53789461,53846285,53879529,53924011,53951371,54033019,54051632,54114019,54247579,54349686,54396442,54431539,54600069,54611971,54637459,54698565,54937699,54962251,54980476,55011139,55072642,55108051,55179979,55321891,55342114,55361469,55368619,55476634,55484179,55518084,55820059,55870360,56013274,56023620,56403691,56414242,56423491,56438192,56592034,56717300,56811230,56913019,56913501,56930565,57001579,57053851,57122539,57123874,57139531,57155189,57305491,57385771,57401611,57417379,57581478,57600979,57797870,57897331,57989059,57999752,58077259,58101811,58136794,58138099,58161931,58213085,58220251,58309819,58345136,58415299,58587019,58604659,58647499,58696531,58750459,58793076,58854139,58908571,58914259,58999939,59033059,59061571,59097754,59102611,59126299,59131339,59133499,59136019,59175977,59488642,59591597,59758528,60116092,60120957,60391550,60479412,60725936,60808086,60879401,61039234,61385565,61679194,61775870,61806754,61866489,62136584,62214054,62273242,62526874,62553605,62607630,62734452,62770701,62854155,63074434,63217910,63492966,63535642,63608565,63702874,64374869,64615542,64667541,64882952,65249721,65402242,65477936,65493701,65566594,65638278,65930029,66017242,66184888,66622997,66781472,66871929,66872194,66996470,67044432,67228344,67449557,67599394,67746245,67849136,68060760,68173476,68241442,68302952,68316678,68468246,68600794,68839642,68926012,69077914,69236476,69276034,69315069,69357444,69625749,69789274,69846249,69855702,69903657,69985954,70221442,70259565,70456354,70671801,71157634,71428954,71622274,71708552,71752310,71938997,71999300,72123034,72458870,72469860,72546305,72573557,72598144,72632572,72888154,72993321,73180646,73457794,73578965,73662678,73684642,73825661,74064350,74065341,74131044,74164732,74249242,74286754,74457999,74727025,74821989,74826375,74943536,75064326,75129156,75182242,75311377,75424986,75506061,75631887,75776264,75861492,75921442,75942489,76288642,76330278,76457129,76568355,76601212,76724485,76800034,76840821,77032361,77301184,77344474,77459637,77597314,77802344,77825397,78243874,78315394,78356621,78458242,78478437,78599109,78718012,78991642,79203994,79814800,79837594,80002937,80222242,80395764,80421845,80672121,80845005,80906462,80951194,81052829,81128109,81158900,81167624,81295494,81295834,81357861,81570394,81650270,81672912,82624642,82909276,82995034,83161550,83206492,83330074,83435961,83501789,83761689,83796442,83879769,83921894,83929114,84094594,84311478,84325594,84537110,84785965,84924749,85248297,85305549,85759642,85939469,86049154,86102772,86234672,86369314,86399160,86433154,86736837,86950644,86963832,87055566,87383074,87425805,87457017,87527637,87785645,88173025,88294758,88385709,88640475,88780954,88798876,88877220,89090332,89239714,89361442,89634394,89672430,89694874,89709609,89791650,89933421,89996314,90311300,90407725,90534874,91219541,91313577,91411612,91420954,91742242,91858594,91882026,92069382,92159104,92177242,92257045,92350234,92465242,92685081,92768781,92853052,92865754,93036442,93151156,93247405,93254192,93562430,93782822,93909154,94131874,94159637,94159642,94298242,94366029,94415565,94484744,94549840,94711642,94739074,94802368,95175710,95650592,95684057,95777760,95803784,96209645,96356510,96364709,96487834,96506214,96636837,96724166,96780350,96881794,97014006,97028805,97142434,97199055,97314485,97390680,97811780,97834311,97980324,98118274,98143642,98497114,98664141,98782229,98828476,99120514,99203205,99251801,99328525,99636442,99758242,99793860,...,10582339458719824524003955792559312266798232249745610312569696973281376550971981048258785434920851300734218427011268088477947222381098191983882353194729293869063027616586895564993220336709168422885722194273039120838249936114694196873127144397270134864896144670498660685408153605175556104338752803101700327846589663045733272808043003270220159206303274502532182601659951483544400095753457452867646577893687197453124758347725037706785174303978028444522374090292485261277002407620843411670651272328898381038266022533903764958275739382703456023576631805621822848260660611625545859656869588093736193372814125629614188590073600092578302960505642243272735668974910448328130517012654463328901305308070904766047852640647218146320791861837492616800106987746118117672517185258272140814781797106603982563728791818704636746675826060900503565483365386194025230862191931397985270386596382312921874976996598592226834508727018616187659588198029930805947944419838021179080411101471610253789419644439020878491209556649268132239200178801761209213972743375135506495785109464013654526645875099892998148068123903614272991085229836052583599285248896363477050949400356259163297503084917962562843593253094315604931252425477769977267460731101980732500143893066347822374045727066132044321651735721253836930976203829647466130391672152844435647307457457933833263259994077926570604861385718613461291005771041588123445159174756912841057834481509731175027103111808068180456861475399780683208589263181895388326292749351645285068991267366604584937097664336417076538212348583008893746412007627388740517834682213349980643666256743872735047717179202831564006767680456576975812977318753393109251903090386572685721005615115114585726229009662795200180473182615639540801866185925783143725429787449236980919018289334397461913739297430018241346246665409921515401441145538548137590241957777082685597354103326466413795481515548150697876348502450632176210844791719188937294083754053554521036788511950335286964926439795441730652641284538056102820480563464817173055097325852170119082840979597415979547457828173273833363766469365632999485423211584325975257395736368810561854648606035278581845618377929063667042568952073262202458666606019137335672269190803420634838938376835197216714355655869625298001516965651455750692111822660310744351142489793662787389452172075918920013691286859134546791444091744754266288854434450290160608704909437286233167539084384821349487962839387402402043873546797786932658}
15381  1453787689357707584503423317314871810065871676148214835843774462: {61508,230595,245968,276714,783411,875463,1305515,1335363,1397851,1566618,1858439,1996930,2161671,2365594,2396316,2711463,2795338,3260391,3379420,3602315,3625863,3791203,3993340,4055304,4082163,4322778,4562217,4614631,4628931,4730572,4792008,4901991,4942378,4992963,5391009,6021512,6264051,6415882,6538651,6592330,6757960,6774201,6784258,6802715,6897831,6913379,7060540,7178983,7374211,7602705,7910796,8064525,8109552,8161863,8163258,8168915,8472648,8602160,8623595,8702151,8799994,9029959,9123246,9228058,9340930,9531729,9600625,9677430,9802698,10224443,10255690,10322592,10348314,10373083,10407363,10854663,10944051,11010391,11209116,11288865,11344115,11366698,11481052,11520750,11612916,11658291,11948519,12041456,12138451,12281991,12288800,12306828,12479434,12515623,12548931,12571420,12648538,13182940,13439125,13546638,13612938,13824900,13957031,14323011,14721559,14746498,14746560,14818690,15085704,15635578,15647271,15701803,15729130,15729664,15819528,16126950,16158874,16238140,16331336,16589880,16723483,16894762,16963859,16971417,17194115,17202080,17564011,17597692,17695872,17765818,17782428,17796969,17964551,18057562,18069340,18088715,18366963,18372753,18663615,18719818,18874956,18890691,19198750,19249531,19256731,19326471,19352340,19485768,19674663,19907856,20109363,20318915,20404231,20541994,20632938,20642496,20751848,20760743,20955283,21101314,21205843,21593194,21622003,21683208,21706458,21755751,21872325,21921489,21928551,22017898,22096595,22273863,22336540,22396338,22396378,22704963,22956131,23038500,23222808,23291338,23330480,23345829,23480938,23514563,23867002,23890690,24139738,24337671,24382698,24393609,24574400,24765891,24955612,24963671,25139560,25162891,25379740,25717619,26072938,26125659,26206571,26246790,26515914,26557863,26572282,26650858,26803848,26897991,26955515,27349018,27397965,27407463,27499330,27543562,27646200,27916071,27951994,27996576,28282005,28339251,28592871,28668828,28911499,29183811,29224496,29489280,29643418,29861863,29870971,29895271,30154329,30167472,30232732,30289114,30414412,30455688,30828298,30847420,31101975,31200963,31255643,31334915,31399498,31454140,31455232,31496148,31679692,31765832,32313532,32346618,32440396,32454663,32588314,32616625,32861698,32877558,32879891,32923605,32954631,32998651,32999196,33175440,33204291,33218651,33273340,33768983,33785116,33923891,33938406,34262649,34449351,34485340,34571851,35118512,35350978,35387136,35463082,35463683,35526988,35678315,35709916,35735011,35736561,35853891,36101031,36183363,36591082,36752483,36811978,37016904,37322370,37398679,37415463,37601898,37744968,37836515,37871683,37947298,38073658,38175658,38508418,38796131,38910394,39001809,39139950,39393803,39508326,39736972,39779399,39810528,39928008,39931420,40071571,40269363,40755651,40874314,40998471,41246971,41249722,41382408,41644017,41698595,41749280,41806311,41967591,42209331,42271978,42347740,42406138,42450538,42463089,42543525,42583354,42707530,42709372,42772551,42813978,43180732,43449160,43494963,43704551,43831595,43995751,44375271,44448059,44683859,44785594,44786844,44919009,45068803,45101452,45173031,45379760,45403818,45531515,45727948,45878951,46430725,46555209,46967940,46998771,47071303,47120698,47140930,47295178,47746163,47917704,48070595,48183658,48261363,48492515,48593171,48681418,48880305,48886565,48940348,49266731,49383418,49427144,49756115,49909191,50038314,50099136,50299971,50550874,50749783,50752840,50817288,50932631,51051994,51052230,51079731,51249036,51499339,51533116,51646522,51834823,52138992,52167363,52288712,52489811,52588540,52597914,52691915,53130503,53135194,53137612,53437018,53907417,54092482,54342691,54361595,54369511,54390940,54455712,54558951,54637818,54789171,55030378,55166428,55172391,55516618,55605537,55707891,55716870,55927162,55937031,56259418,56361528,56569116,56772583,56778739,57096945,57169449,57293194,57459111,57684714,57760636,57815434,57911777,57989571,58083451,58191018,58311011,58413683,58433788,58564042,58656366,58663878,58824801,58950658,59367994,59431328,59553165,59707338,59765083,59824732,59933891,59963458,60108451,60160115,60388540,60457576,60474471,60474634,60903408,60982715,61262676,61371591,61686760,61798138,62213915,62413863,62744983,63106248,63230298,63406719,63460252,63523376,63570211,63979420,64143943,64258715,64263363,64682818,64872328,65072391,65168092,65233914,65269128,65325640,65365863,65575594,65850811,65994058,66002483,66024771,66028259,66187468,66304231,66827171,66827463,66860244,66900291,67106315,67118631,67249354,67516571,67564540,67638536,68014773,68077051,68085658,68207091,68338114,68506568,68516334,68568711,68600716,68640963,68694491,68725595,68909159,69171916,69239059,69397605,69649971,69721863,69837950,69971722,70029525,70080963,70546691,70547740,70680298,70825799,70896625,70994529,71021671,71146519,71463798,71504683,71839372,71867463,72051491,72192138,72311051,72466248,72499690,72800092,72861351,72931420,72981369,73179258,73356531,73427769,73446379,73491345,73514458,73709511,73815292,73944331,74024112,74543731,74656698,74698160,74787562,75145115,75455338,75599265,75884668,75907420,76093353,76093863,76138114,76270282,76415554,76576583,76739911,76775304,76859331,77069889,77110458,77515498,77670730,77703559,78390768,78418065,78460679,78763043,78998951,79549863,79585211,79988483,80161276,80165571,80233834,80361479,80527578,80639216,80643111,81077448,81103690,81510131,81524529,81594663,81597418,81804931,81847420,82259111,82470714,82483138,82488652,82608963,82674151,82731110,82952072,83013171,83214951,83277126,83476840,83645936,83694268,83805540,83828311,83898874,83976779,84019911,84035430,84199162,84232858,84621363,84657288,84811420,84883291,84888051,85075950,85199803,85216845,85378690,85685811,86154056,86157515,86223388,86372217,86545595,86696805,86999628,87205191,87212711,87517704,87563914,87979978,88121194,88189614,88221283,88585283,88646631,89162572,89227498,89232963,89262011,89350378,89392576,89635690,89637792,89732711,89999125,90125698,90174138,90560218,90587325,90719118,90747680,90759251,90790715,90844423,90897968,91088904,91212129,91558851,91964554,92420092,92476592,92518791,92589658,92663805,92705915,92710131,92834332,93128332,93140936,93204876,93321081,93409863,93679420,93720778,93790311,93805978,93911445,94101678,94229068,94529959,94611651,94692283,94720330,94826865,95239449,95303463,95453831,95554311,95608411,95751515,95821114,96353602,96414778,96455203,96626480,96923313,97252930,97297498,97324428,97326119,97442651,97520983,98103363,98216904,98349891,98397515,98457417,98609191,98753788,98841392,98847802,98895283,99024199,99025863,99277332,99551203,99762652,99768500,99839338,...,15873509188079736786005933688838968400197348374618415468854545459922064826457971572388178152381276951101327640516902132716920833571647287975823529792093940803594541424880343347489830505063752634328583291409558681257374904172041295309690716595905202297344217005747991028112230407763334156508129204652550491769884494568599909212064504905330238809454911753798273902489927225316600143630186179301469866840530796179687137521587556560177761455967042666783561135438727891915503611431265117505976908493347571557399033800855647437413609074055184035364947708432734272390990917438318789485304382140604290059221188444421282885110400138867454440758463364909103503462365672492195775518981694993351957962106357149071778960970827219481187792756238925200160481619177176508775777887408211222172695659905973845593187728056955120013739091350755348225048079291037846293287897096977905579894573469382812465494897888340251763090527924281489382297044896208921916629757031768620616652207415380684129466658531317736814334973902198358800268202641813820959115062703259743677664196020481789968812649839497222102185855421409486627844754078875398927873344545215576424100534388744946254627376943844265389879641473407396878638216654965901191096652971098750215839599521733561068590599198066482477603581880755396464305744471199195587508229266653470961186186900749894889991116889855907292078577920191936508656562382185167738762135369261586751722264596762540654667712102270685292213099671024812883894772843082489439124027467927603486901049906877405646496504625614807318522874513340619618011441083110776752023320024970965499385115809102571575768804247346010151520684865463719465978130089663877854635579859028581508422672671878589343514494192800270709773923459311202799278888674715588144681173855471378527434001596192870608946145027362019369998114882273102161718307822206385362936665624028396031154989699620693222273322226046814522753675948264316267187578783405941125631080331781555182767925502930447389659693162595978961926807084154230720845197225759582645988778255178624261469396123969321186742259910750045649704048449499228134817376488962886093604553215842781972909052917872768427566893595500563853428109893303687999909028706003508403786205130952258407565252795825071533483804437947002275448477183626038167733990466116526713734690494181084178258113878380020536930288701820187166137617131399433281651675435240913057364155929349751308626577232024231944259081103603065810320196680398987}
15382  1460284155831626778962446643532864169722834902946421648957617385: {76885,92262,215222,307460,353257,368952,415071,583718,812437,951638,1044548,1167284,1269817,1725397,1780484,1868918,2051942,2088824,2234822,2269717,2349927,2882228,2995395,3147062,3195088,3329078,3529717,3548391,3594474,3615284,3797881,4193007,4224275,4236998,4243381,4347188,4834484,4960742,4991675,5069130,5268823,5407072,5442884,5502038,5763704,5862182,5913215,5990010,6082956,6171908,6389344,6443881,6484167,6535988,6617977,6657284,7095858,7188012,7296998,7311481,7413567,7484137,7526890,8352068,8428597,8447450,8825675,8855017,9032268,9197108,9254822,9448981,9623823,9702457,9888495,10039417,10136940,10176387,10491638,10536274,10547728,10590810,10752700,10812736,10876777,10882484,10884344,11019542,11126581,11296864,11602868,11866194,11896502,11954581,12164328,12201577,12244887,12529897,12708972,12903240,12944102,13070264,13199991,13639622,13684869,13763456,13797752,13842087,13876484,13993081,14011395,14289919,14351315,14472884,14516145,14555797,14592068,14704047,14945488,15051820,15194581,15361000,15383535,15483888,15522471,15544388,15714275,16375988,16409104,16478675,16731908,16813674,17050047,17221578,17281125,17316457,17394037,17419374,17764358,18062184,18104342,18150584,18157867,18319381,18433200,18460242,18719151,18857130,18951782,18972807,19097348,19234357,19662080,19774410,20114272,20213881,20297675,20319957,20414170,20419407,20429519,20587381,20737350,20810617,20863028,21092704,21107257,21305462,21476437,21502600,21843817,21972758,21997115,22063381,22119747,22119840,22228035,22282297,22586675,22628556,22969382,23453367,23593695,23594496,23653717,23709904,23729292,23960822,24125558,24190425,24238311,24357210,24489284,24497004,24884820,25166608,25187588,25342143,25438262,25571434,25766197,25768628,25803120,25939810,25973881,25981024,26232884,26396538,26543808,26579318,26648727,26673642,26812484,27086343,27104010,27510584,27523328,27544597,27795103,27920675,28079727,28312434,28348981,28482037,28518998,28798125,28910944,28941944,29007668,29028510,29163100,29228652,29238068,29640902,29698484,29796757,29800598,29861784,30273284,30443317,30507577,30718000,30728698,30812991,30949407,30955381,30963744,31072982,31127772,31146217,31194515,31399657,31424450,31588981,31651971,31724675,31777657,32178758,32389791,32450228,32510264,32524812,32559687,33021188,33026847,33141481,33504810,33594507,33594567,34171477,34351081,34530037,34557750,34648981,34834212,34834838,34937007,34989782,34995720,35221407,35354552,35410484,35648377,35738464,35800503,35836035,35863988,35996137,36209607,36226537,36283957,36530620,36531302,36543284,36574047,36854197,36861600,37221428,37328768,37433418,37709340,37785668,37790915,38018015,38069610,38123828,38225104,38248297,38559275,38665238,38911748,39109407,39170581,39317675,39319040,39370185,39599615,39707290,39773871,39858423,39976287,40205772,40223296,40322102,40391915,40489081,40550495,40607584,40621478,40850197,41023527,41156917,41248995,41315343,41469300,41591675,41601284,41927991,41994864,42231395,42259381,42357877,42848438,43003242,43106675,43128824,43231381,43248751,43272884,43706581,43836744,43898140,43939508,43998928,44034937,44233920,44267317,44272388,44408735,44465127,44497897,44606678,44637395,44863081,45251208,45349098,45433671,45446677,45478022,45621618,45623797,45683532,45752623,45767318,45932468,46242447,46271130,46344182,46488038,46534777,47041081,47099247,47181210,47182848,47244222,47519538,47577877,47633702,47648748,47776262,47805188,48134708,48244484,48379957,48470298,48486902,48519927,48628598,48660594,48882471,48924277,49115257,49292547,49316337,49355872,49491817,49498794,49671215,49763160,49861177,49887284,49897717,49910010,49914275,50043157,50135864,50151481,50326624,50457542,50507881,50677674,50753077,50907609,51467497,51728010,52002412,52118377,52181881,52186600,52339381,52677768,52801081,52891477,52900379,52934675,53026467,53080704,53099881,53194623,53237344,53290482,53333737,53386715,53448937,53497238,53564874,53692484,53796479,53975915,54088981,54311450,54340868,54485881,54664628,54720662,54741481,54886623,54940777,55159477,55176544,55217967,55395302,55525356,55529798,55582954,55736377,55741748,55758517,55802581,55954537,55956788,55983555,56066342,56279108,56329081,56376815,56402847,56467238,56585077,56617452,56623381,56724700,56755177,56763287,56847157,56920947,56990581,57030068,57085304,57110487,57132518,57159935,57263487,57280057,57361237,57499079,57608917,57762627,57782581,57851881,57879097,57959017,57993284,58057862,58147477,58171381,58206697,58365591,58452278,58475797,58615657,58691797,58699897,58709925,58812757,58859881,58921081,59084917,59107381,59114617,59125237,59128981,59134057,59141077,59151481,59167028,59183719,59262489,59605458,59715792,59757638,59887382,59892012,59897130,59943247,60230708,60538424,61175435,61176902,61311471,61688678,61783930,61816262,61874583,62073612,62623920,62665028,63407967,63441050,63521610,63569363,63609207,63675807,63838022,63875031,63890272,64061295,64064058,64220967,64348484,64416395,64771098,65173740,65206598,65360890,65453558,65576822,65735675,65938631,66422015,66545588,66717752,66798848,66801542,67066628,67178391,67180266,67650278,67652178,67756384,67988675,68011862,68069640,68105727,68106308,68132102,68332048,68591922,68958035,69518656,69556484,69800342,70130552,70271798,70389302,70451910,70506662,70559314,70681047,70711395,70942767,71091302,71876556,71948383,72200795,72275487,72583063,72607616,72745268,72850424,73022127,73042235,73052228,73190194,73410522,73563188,73686503,73734278,74075127,74140716,74277188,74289160,74298758,74582708,74780915,74971382,75057471,75148704,75321203,75384799,75425488,75485675,75571970,75749558,75826311,75997559,76129260,76225932,76577991,76578345,76612148,76873554,76912952,77108450,77299674,77319428,77393318,77469783,77588024,77917307,78208488,78218504,78256742,78433068,78882810,78896871,79217078,79325315,79404220,79535722,79609784,79702791,79706418,79850822,79974275,80155527,80270438,80479382,80632628,80917018,80999222,81090410,81138723,81204544,81460115,81498319,81586410,81657050,81683568,81828788,81956727,82435622,82545567,82734335,82749642,83218484,83274927,83444342,83575305,83843798,83890743,83943302,84141664,84141878,84171539,84307064,84389127,84455675,84542292,84548170,84853674,85418582,85633210,85684484,85750895,85939791,86288198,86464895,86486218,86527071,86640954,86723151,86763188,86978552,87025504,87085031,87154484,87286527,87575047,87650682,87846063,87898982,87984549,87995817,88033028,88184675,88425987,88505074,88827062,89051991,89103284,89146992,89194262,89200388,89376998,89491508,89561007,89737098,89799215,89945187,90192182,90582810,90686364,90711951,90942788,91000115,91164275,91355112,91424948,91437062,91521284,91787558,91894014,92269115,92395382,92530140,92697207,92866628,92910758,92962484,93372700,93441284,93795058,94176518,94342838,94659372,94756118,94844743,94845447,94855835,94884275,95190378,95247302,95285064,95789707,95823284,95969130,96256184,96621664,96925622,97024227,97148468,97160198,97308492,97572344,97752138,97808708,97850871,97903692,97988460,98085542,98161718,98163791,98279348,98363391,98540438,98698816,98991087,99064598,99281202,99542264,99801158,99874022,...,21164678917439649048007911585118624533596464499491220625139393946562753101943962096517570869841702601468436854022536176955894444762196383967764706389458587738126055233173791129986440673418336845771444388546078241676499872229388393746254288794540269729792289340997321370816307210351112208677505606203400655693179326091466545616086006540440318412606549005064365203319902967088800191506914905735293155787374394906249516695450075413570348607956056889044748180584970522554004815241686823341302544657796762076532045067807529916551478765406912047153263611243645696521321223251091719313739176187472386745628251259228377180147200185156605921011284486545471337949820896656261034025308926657802610616141809532095705281294436292641583723674985233600213975492236235345034370516544281629563594213207965127457583637409273493351652121801007130966730772388050461724383862795970540773192764625843749953993197184453669017454037232375319176396059861611895888839676042358160822202943220507578839288878041756982419113298536264478400357603522418427945486750271012991570218928027309053291750199785996296136247807228545982170459672105167198570497792726954101898800712518326595006169835925125687186506188631209862504850955539954534921462203961465000287786132695644748091454132264088643303471442507673861952407659294932260783344305688871294614914915867666526519988155853141209722771437226922582011542083176246890318349513825682115668963019462350054206223616136360913722950799561366417178526363790776652585498703290570137982534733209169874195328672834153076424697166017787492824015254777481035669364426699961287332513487745470095434358405663128013535360913153951625954637506786218503806180773145371442011230230229171452458019325590400360946365231279081603732371851566287450859574898473961838036578668794923827478594860036482692493330819843030802882291077096275180483915554165371194708206652932827590963031096301395752697004901264352421689583438377874588167508107109042073577023900670573929852879590883461305282569076112205640961126929634346110194651704340238165681959194831959094915656346547666727532938731265998970846423168651950514791472737621123709297212070557163691236755858127334085137904146524404917333212038274671344538381606841269677876753670394433428711311739250596003033931302911501384223645320621488702284979587325574778904344151837840027382573718269093582888183489508532577708868900580321217409818874572466335078168769642698975925678774804804087747093595573865316}
15383  1466809422217562443994494722103884510580125777781178666776321270: {15383,123016,138393,322833,384325,461190,491936,553428,875577,1305685,1427457,1459105,1566822,1750926,1827721,1858681,2196337,2225605,2611030,2670726,2795702,2803377,3077913,3133236,3352233,3602785,3716878,3883297,3993860,4323342,4435861,4519105,4720593,4731188,4792632,4993617,5043241,5391711,5422926,5433985,5590676,6043105,6355497,6520782,6758840,6803605,6914281,7204630,7250617,7251726,7441113,7582406,7603695,7714885,7986680,8110608,8164326,8169985,8170357,8253057,8321605,8645556,8793273,8930977,8985015,9124434,9229262,9257862,9461144,9523801,9584016,9641941,9803982,9884756,9938137,9985926,10225777,10440085,10643787,10782018,10929577,10945497,11290335,11436481,11496385,12043024,12073033,12239881,12285097,12528102,12671175,12831764,13077302,13184660,13440875,13515920,13548402,13568516,13603105,13605430,13795662,13797013,13826758,13882233,13958857,14120977,14121080,14357966,14445817,14503585,14748422,15205410,15352921,15737457,15804411,15821592,15881761,15886215,16129050,16219104,16323726,16326516,16337830,16494673,16529313,16553353,16945296,16966081,17204320,17247190,17299777,17345605,17404302,17425561,17599988,17799291,17844753,18059918,18091105,18207157,18240085,18246492,18300337,18456116,18659233,18681860,18814775,18966937,19063458,19201250,19354860,19416153,19430485,19605396,20048197,20448886,20459433,20469985,20511380,20530441,20645184,20696628,20746166,20814726,20863441,20914885,21230833,21464497,21709326,21888102,21962281,22020782,22418232,22577730,22688230,22733396,22962104,23041500,23114101,23225832,23291257,23316582,23871685,23897038,24071761,24082912,24276902,24563982,24577600,24613656,24958868,24966937,25031246,25097862,25136257,25142840,25178581,25220511,25297076,25324201,25666873,25832367,26078785,26129061,26365880,26604961,26646537,26725513,26878250,26972137,27093276,27129973,27156513,27225876,27649800,27690363,27756121,27914062,28285695,28427673,28446481,28646022,28923697,29163793,29289697,29443118,29492996,29493120,29637380,29661615,29702641,29915017,30171408,30611605,30621255,30935233,31106025,31259737,31271156,31294542,31403606,31458260,31459328,31484485,31639056,31958193,32210785,32253900,32317748,32476280,32662672,32791105,32959137,33179760,33213697,33222997,33371521,33446966,33515605,33773401,33789524,33927718,33942834,34051753,34388230,34404160,34454073,34839073,35128022,35188681,35195384,35391744,35446657,35531636,35564856,35593938,35929102,35941233,35981401,36115124,36138680,36177430,36188337,36259585,36453875,36535815,36547585,36733926,36745506,36757297,37123105,37160497,37327230,37439636,37737721,37749912,37781382,37841605,37914937,38157393,38357151,38397500,38499062,38513462,38544661,38652942,38704680,38801257,38858053,38909715,38971536,39287137,39349326,39594807,39635881,39815712,39868977,40010463,40112281,40218726,40562785,40637830,40656015,40808462,41083988,41265876,41276485,41284992,41503696,41521486,41749081,41910566,42110617,42202628,42363121,42411686,42468651,42778497,42913093,43149961,43186388,43244006,43366416,43412916,43511502,43542765,43744650,43842978,43857102,43868881,44035796,44193190,44263105,44453881,44461353,44495593,44547726,44673080,44682613,44700897,44792676,44792756,44829985,45016081,45409926,45663275,45679105,45700117,45849973,45912262,46077000,46093047,46214041,46445616,46526785,46582676,46609473,46616257,46646281,46660960,46691658,46872673,46961876,47012017,47029126,47136675,47232085,47654785,47734004,47752417,47781380,48082081,48268137,48279476,48639685,48675342,48765396,48787218,49148800,49364677,49436857,49531782,49782613,49911224,49927342,49944757,49949641,50257215,50279120,50325782,50759480,51435238,51523681,51650833,51836625,51926377,52001605,52145876,52251318,52252257,52367353,52413142,52484673,52493580,52808197,52971121,53031828,53115726,53144564,53301716,53607696,53795982,53911030,54091105,54198913,54698036,54795930,54796953,54814926,54872675,54924385,54931537,54998660,55062817,55087124,55292400,55340485,55832142,55903988,55993152,56081041,56150127,56564010,56678502,57104415,57185742,57337656,57415585,57419617,57428293,57822998,57997857,58356313,58367622,58378033,58421401,58448992,58928341,58978560,59286337,59286836,59560935,59723726,59741942,59756485,59790542,60168385,60305605,60308658,60334944,60429073,60457141,60465464,60483153,60578228,60828824,60911376,60932217,61364233,61656596,61694840,62033413,62203950,62359105,62401926,62511286,62669830,62798996,62908280,62910464,62992296,63112981,63359384,63531664,63689173,63744121,64112257,64272657,64504863,64627064,64693236,64880792,64909326,65003015,65176628,65233250,65285881,65723396,65755116,65759782,65847210,65909262,65997302,65998392,66350880,66408582,66437302,66546680,66910017,66984937,67115605,67298833,67537966,67570232,67847782,67876812,67889521,67926085,68023647,68076277,68217033,68330785,68432427,68441191,68525298,68650977,68898702,68913013,68970680,69143702,69238081,69391897,69406695,69516273,69658561,69677185,69732057,69945985,70087033,70237024,70348885,70701956,70771815,70774272,70866333,70905875,70926164,70927366,71053976,71154457,71279307,71287585,71356630,71419832,71450553,71470022,71473122,71664393,71707782,71891797,72202062,72366726,72491605,72564313,72705447,72730353,72749017,72942897,72990891,73182164,73504966,73518097,73550641,73623956,73704697,73742953,73767481,73768681,73958785,73987993,74033808,74248191,74635177,74644740,74797358,74830926,74865015,75078613,75203796,75288385,75459697,75489936,75673030,75686313,75743366,75894596,76016511,76106233,76147316,76351316,76829881,77016836,77592015,77592262,77637673,77820788,78003618,78007921,78033397,78279900,78312853,78331285,78787606,79016652,79473944,79558798,79621056,79643077,79694977,79856016,79862840,79935723,80097013,80143142,80245857,80347311,80435605,80528137,80538726,81438097,81467175,81511302,81748628,81996942,82080993,82270177,82493942,82499444,82699957,82764816,83092953,83120137,83124193,83181985,83288034,83294697,83374431,83397190,83498560,83612622,83703217,83833285,83935182,84099513,84194977,84224161,84418662,84543956,84695480,84700857,84710713,84812276,84856117,84901076,84926178,85087050,85111081,85132885,85166708,85375801,85415060,85418744,85441897,85545102,85627956,85698777,86361464,86898320,86945605,86989926,87086793,87099481,87144121,87409102,87663190,87678417,87991502,88259281,88750542,88896118,88948177,89095861,89367718,89408187,89571188,89573688,89636457,89768281,89831073,89838018,89845695,89962201,90093013,90137606,90202904,90346062,90759520,90798601,90807636,90931585,91063030,91134613,91315285,91455896,91757902,91765353,91953985,92260393,92533017,92675895,92724393,92726257,92814037,92846485,92861450,93110418,93228385,93368017,93935880,93948841,93997542,94142606,94241396,94281860,94590356,94972657,95161575,95282415,95492326,95757033,95765185,95835408,96064921,96093793,96096087,96141190,96215833,96367316,96403417,96522726,96649285,96985030,97122373,97156647,97186342,97215313,97362836,97554313,97651081,97760610,97773130,97809897,97852177,97866361,97880696,98041335,98136193,98180337,98365233,98533462,98766836,98854288,99007081,99255275,99512230,99519937,99818382,...,31747018376159473572011867377677936800394696749236830937709090919844129652915943144776356304762553902202655281033804265433841667143294575951647059584187881607189082849760686694979661010127505268657166582819117362514749808344082590619381433191810404594688434011495982056224460815526668313016258409305100983539768989137199818424129009810660477618909823507596547804979854450633200287260372358602939733681061592359374275043175113120355522911934085333567122270877455783831007222862530235011953816986695143114798067601711294874827218148110368070729895416865468544781981834876637578970608764281208580118442376888842565770220800277734908881516926729818207006924731344984391551037963389986703915924212714298143557921941654438962375585512477850400320963238354353017551555774816422444345391319811947691186375456113910240027478182701510696450096158582075692586575794193955811159789146938765624930989795776680503526181055848562978764594089792417843833259514063537241233304414830761368258933317062635473628669947804396717600536405283627641918230125406519487355328392040963579937625299678994444204371710842818973255689508157750797855746689090431152848201068777489892509254753887688530779759282946814793757276433309931802382193305942197500431679199043467122137181198396132964955207163761510792928611488942398391175016458533306941922372373801499789779982233779711814584157155840383873017313124764370335477524270738523173503444529193525081309335424204541370584426199342049625767789545686164978878248054935855206973802099813754811292993009251229614637045749026681239236022882166221553504046640049941930998770231618205143151537608494692020303041369730927438931956260179327755709271159718057163016845345343757178687028988385600541419547846918622405598557777349431176289362347710942757054868003192385741217892290054724038739996229764546204323436615644412770725873331248056792062309979399241386444546644452093629045507351896528632534375157566811882251262160663563110365535851005860894779319386325191957923853614168308461441690394451519165291977556510357248522938792247938642373484519821500091299408096898998456269634752977925772187209106431685563945818105835745536855133787191001127706856219786607375999818057412007016807572410261904516815130505591650143066967608875894004550896954367252076335467980932233053427469380988362168356516227756760041073860577403640374332275234262798866563303350870481826114728311858699502617253154464048463888518162207206131620640393360797974}
15384  1473363615175388442517619587898686148327217303611072521072807209: {107639,153770,169103,184524,353303,430444,614920,691785,706514,737904,812543,830142,1087223,1167436,1482839,1624874,1634639,1725623,1903276,2089096,2300183,2334568,2350233,2390639,2539634,2541239,2626389,2901863,2991839,3201503,3380903,3450794,3560968,3737836,3916545,3976823,4006089,4103884,4177648,4184639,4193553,4273583,4421663,4469644,4539434,4628639,4687703,4699854,4982543,4992325,5305943,5511239,5575317,5764456,5913985,5990790,6008183,6294124,6390176,6473783,6485013,6658156,6879503,6988345,7059434,7096782,7188948,7230568,7254839,7595762,8030063,8134389,8258639,8278501,8344223,8386014,8448550,8458223,8473996,8486762,8685839,8694376,8884583,9054623,9111239,9309143,9478463,9534839,9619343,9668968,9731903,9781173,9921484,9983350,10138260,10292783,10537646,10655639,10806945,10814144,10877589,10885768,10989383,11004076,11072639,11373609,11527408,11724364,11826430,11956223,11980020,11983703,12038639,12165912,12246489,12343816,12355945,12777143,12778688,12887762,12968334,13071976,13235954,13314568,13536839,13671839,13686651,13752743,13843893,13886793,14075639,14156183,14191716,14343839,14376024,14593996,14622962,14705973,14827134,14968274,14978889,15053780,15196703,15223223,15593663,15751943,16039705,16173027,16480825,16539023,16704136,16851839,16857194,16894900,16960645,17422343,17651350,17710034,18014639,18064536,18270839,18321983,18347543,18394216,18509644,18653639,18792153,18897962,19237103,19247646,19404914,19615953,19776990,20078834,20091841,20216783,20241743,20273880,20322603,20352774,20408145,20466023,20590343,20615183,20693493,20740137,20962103,20983276,21072548,21095456,21181620,21356663,21479543,21505400,21536949,21625472,21753554,21764968,21768688,21999985,22039084,22122633,22253162,22309823,22382639,22593728,22808115,22818023,23070145,23178863,23205736,23226839,23352325,23732388,23793004,23909162,24143977,24193575,24297839,24328656,24403154,24485589,24489774,24506745,24815543,25002839,25059794,25166303,25282823,25417944,25639225,25700639,25806480,25870785,25888204,26000783,26106453,26140528,26399982,26459903,26619839,26802143,26961239,27089877,27279244,27368543,27369738,27526912,27595504,27684174,27750839,27752968,27986162,28022790,28375463,28416745,28579838,28595187,28702630,28801875,28945768,29032290,29081639,29111594,29147423,29184136,29235023,29408094,29409839,29887943,29890976,30103640,30389162,30533663,30597839,30640583,30673329,30722000,30767070,30795961,30917639,30960143,30967776,30981383,31044942,31088776,31119249,31198585,31222089,31277903,31341239,31428550,31621345,31866239,31928903,31970639,32530943,32563989,32654663,32751976,32818208,32832153,32957350,33031173,33167063,33451823,33463816,33627348,33866595,33876023,33956423,34032345,34100094,34116839,34376423,34443156,34555343,34562250,34632914,34788074,34838748,34974873,35244983,35528716,35595839,35654063,35789639,35845557,36078839,36124368,36174839,36208684,36301168,36315734,36415353,36461639,36638762,36803423,36845973,36866245,36866400,36879023,36920484,37046725,37255103,37438302,37497839,37535063,37546869,37646793,37714260,37720703,37903564,37923983,37945614,38194696,38272823,38468714,38817743,38871839,39088945,39177023,39322825,39324160,39548820,39621623,39991223,40228544,40253063,40287839,40317375,40397185,40427762,40513103,40595350,40639914,40828340,40838814,40857023,40859038,41174762,41231639,41265503,41474700,41621234,41726056,41736239,41871093,42068639,42184223,42185408,42214514,42236905,42282983,42479639,42610924,42952874,42969033,43005200,43445639,43672321,43687634,43761239,43945516,43994230,43995839,44126762,44164677,44239494,44239680,44274983,44414545,44456070,44564594,44643143,44916239,45141839,45143905,45173350,45257112,45543383,45938764,46069703,46343303,46457639,46500383,46799545,46906734,46941813,47049503,47105409,47187390,47188992,47307434,47340143,47419808,47458584,47463623,47640839,47843639,47910839,47921644,47996875,48044639,48251116,48270263,48309839,48380850,48476622,48636839,48714420,48856343,48933263,48978568,48994008,49086239,49124303,49275839,49624943,49769640,49919183,50052503,50170449,50333216,50340023,50375176,50411183,50684286,50704583,50727839,50876524,50891577,50901239,50914251,51142868,51208823,51354985,51532394,51537256,51543743,51582345,51606240,51653783,51686639,51879620,51882263,51947762,51962048,52191983,52349543,52465768,52515623,52692033,52753285,52793076,52907281,53087616,53120183,53158636,53225221,53297454,53315303,53347284,53353943,53390907,53554703,53624968,53667839,53893653,53982985,53991239,54108863,54172686,54208020,54260639,54266145,54287183,54366383,54479639,54676703,54710543,54960263,55001183,55021168,55044745,55046656,55089194,55100889,55118259,55360463,55439461,55522583,55590206,55777583,55841350,55990845,55990945,56037503,56142743,56159454,56239343,56259839,56327639,56447663,56460839,56545703,56548681,56603663,56624868,56635583,56672073,56697962,56767463,56770693,56829023,56931839,56949743,56964074,56973503,57037996,57078839,57107639,57276239,57347063,57427103,57506581,57551423,57596250,57626783,57724463,57748593,57770193,57795623,57821888,57855839,57869543,57883888,57892223,57923639,57932543,57979413,58015336,58053839,58057020,58087343,58164863,58188743,58228345,58254839,58300103,58326200,58376543,58442663,58457304,58469639,58476136,58479623,58492823,58512383,58566239,58632503,58683839,58702345,58840823,58874183,58917863,58937423,58959839,58999583,59010839,59023989,59036543,59099783,59108783,59111639,59120639,59123953,59132639,59136239,59149703,59156663,59164463,59166743,59281804,59396968,59593514,59601196,59667505,59723568,59726725,60328089,60349345,60546568,60886634,60956745,61015154,61212693,61436000,61457396,61625982,61898814,61910762,61927488,62145964,62172229,62255544,62282229,62292434,62389030,62492353,62799314,62848900,62865849,63177962,63303942,63449350,63555314,63577657,63617529,64357516,64779582,64866009,64900456,65020528,65049624,65119374,65182345,65267253,65616975,65764467,65785653,66042376,66053694,66282962,66289785,66430705,66627145,66821589,67009620,67189014,67189134,67953457,68114889,68342954,68372545,68702162,68748325,68858905,68868393,69060074,69115500,69297962,69539701,69668424,69669676,69874014,69879985,69979564,69991440,70037487,70442814,70543689,70709104,70820968,71296754,71476928,71601006,71672070,71727976,71992274,72419214,72453074,72567914,73013013,73061240,73062604,73086568,73148094,73180827,73696117,73708394,73723200,74108545,74297673,74442856,74657536,74741401,74866836,74891013,75127429,75418680,75488673,75566281,75571336,75581830,75722785,76036030,76139220,76247656,76450208,76496594,77070745,77118550,77152857,77330476,77823496,77927473,78218814,78341162,78376977,78498745,78619713,78635350,78638080,78740370,78927541,79199230,79414580,79547742,79673589,79704757,79716846,79952574,80023909,80411544,80446592,80644204,80693973,80783830,80866545,80978162,81100990,81215168,81242956,81470785,81700394,82047054,82154245,82193895,82222389,82313834,82497990,82630686,82938600,83183350,83202568,83748213,83855982,83989728,84182521,84462790,84518762,84715754,84846015,85017753,85645609,85696876,85778613,86006484,86213350,86257648,86462762,86497502,86545768,86734497,87084049,87413162,87551433,87673488,87796280,87879016,87997856,88069874,88377445,88467840,88534634,88544776,88657705,88817470,88930254,88995794,89213356,89274790,89585589,89612913,89685813,89726162,89815297,90182953,90462987,90502416,90698196,90867342,90893354,90956044,91243236,91247594,91367064,91477705,91505246,91534636,91864936,92029945,92484894,92542260,92688364,92976076,92990821,93069554,93305925,93602889,93766929,94004745,94074073,94082162,94198494,94362420,94365696,94488444,94868245,95039076,95155754,95184145,95267404,95297496,95439145,95552524,95610376,96269416,96271045,96488968,96541249,96759914,96940596,96973804,97039854,97257196,97275985,97321188,97363989,97764942,97848554,97849875,98230514,98585094,98632674,98639673,98711744,98770815,98863893,98983634,98995953,98997588,99342430,99526320,99612873,99655953,99722354,99774568,99795434,99820020,99828550,...,47620527564239210358017801066516905200592045123855246406563636379766194479373914717164534457143830853303982921550706398150762500714941863927470589376281822410783624274641030042469491515191257902985749874228676043772124712516123885929072149787715606892032651017243973084336691223290002469524387613957651475309653483705799727636193514715990716428364735261394821707469781675949800430890558537904409600521592388539061412564762669680533284367901128000350683406316183675746510834293795352517930725480042714672197101402566942312240827222165552106094843125298202817172972752314956368455913146421812870177663565333263848655331200416602363322275390094727310510387097017476587326556945084980055873886319071447215336882912481658443563378268716775600481444857531529526327333662224633666518086979717921536779563184170865360041217274052266044675144237873113538879863691290933716739683720408148437396484693665020755289271583772844468146891134688626765749889271095305861849956622246142052388399975593953210443004921706595076400804607925441462877345188109779231032992588061445369906437949518491666306557566264228459883534262236626196783620033635646729272301603166234838763882130831532796169638924420222190635914649964897703573289958913296250647518798565200683205771797594199447432810745642266189392917233413597586762524687799960412883558560702249684669973350669567721876235733760575809525969687146555503216286406107784760255166793790287621964003136306812055876639299013074438651684318529247468317372082403782810460703149720632216939489513876844421955568623540021858854034323249332330256069960074912896498155347427307714727306412742038030454562054596391158397934390268991633563906739577085744525268018015635768030543482578400812129321770377933608397836666024146764434043521566414135582302004788578611826838435082086058109994344646819306485154923466619156088809996872085188093464969098862079666819966678140443568261027844792948801562736350217823376893240995344665548303776508791342168979079487787936885780421252462692162535591677278747937966334765535872784408188371907963560226779732250136949112145348497684404452129466888658280813659647528345918727158753618305282700680786501691560284329679911063999727086118010525211358615392856775222695758387475214600451413313841006826345431550878114503201971398349580141204071482543252534774341635140061610790866105460561498412851394198299844955026305722739172092467788049253925879731696072695832777243310809197430960590041196961}
15385  1479946861917586728303752711954881986695667466560422933987059463: {30766,230655,246032,276786,538055,645666,768650,922380,983872,1059771,1106856,1245213,1459295,1751154,1827959,2042747,2196623,2379095,2437311,2595671,2611370,2854914,2918210,3115847,3133644,3501852,3655442,3717362,3809451,4392674,4451210,4589351,4672295,4957727,5043899,5129855,5176191,5222060,5341452,5587055,5591404,5606754,6155826,6266472,6326747,6704466,6809151,7049781,7205570,7251563,7433756,7607579,7766594,7867655,7987720,8171423,8322695,8460347,8568911,8646684,8871722,8986185,9038210,9441186,9462376,9525047,9585264,9643199,9987234,10086482,10275023,10554791,10589151,10592495,10645173,10776287,10783422,10800839,10845852,10867970,10931003,11181352,11281259,11393643,11437979,11650247,11745071,12086210,12401855,12579021,12672825,12710994,12730143,13041564,13517680,13607210,13679867,13755095,13828562,14409260,14501234,14503452,14518751,14616119,14655455,14882226,14975025,15150491,15164812,15207390,15420191,15429770,15806469,15873359,15973360,16094939,16221216,16300559,16328652,16339970,16340714,16437287,16496831,16506114,16643210,17159147,17291112,17302043,17586546,17739645,17861954,17970030,18242495,18248868,18458524,18515724,18817225,18922288,19044347,19047602,19095311,19168032,19283882,19331643,19452501,19462823,19475627,19607964,19769512,19853931,19876274,19971852,20050823,20305019,20445191,20451554,20533127,20880170,21118625,21287574,21564036,21627671,21859154,21890994,21934443,22240701,22302299,22415471,22452411,22580670,22872962,22945787,22992770,23137055,23220719,24086048,24146066,24283847,24479762,24570194,25056204,25181879,25285791,25327547,25342350,25536119,25663528,25670231,25833407,25955423,26154604,26229095,26279759,26340685,26369320,26477025,26565051,26881750,27031840,27096804,27137032,27202679,27206210,27210860,27526031,27548855,27591324,27594026,27653516,27764466,27917714,28140767,28241954,28242160,28274927,28287851,28346943,28657979,28715932,28871469,28891634,29007170,29107371,29280839,29496844,29665485,29706527,29741255,29869691,30118251,30249263,30410820,30529161,30705842,31021547,31474914,31608822,31643184,31751099,31763522,31772430,32258100,32360255,32438208,32630331,32647452,32653032,32675660,32905319,32989346,33058626,33106706,33375887,33379743,33420359,33890592,33932162,34099055,34182551,34408640,34494380,34502759,34599554,34691210,34808604,34843631,34851122,34999607,35199976,35354111,35598582,35689506,35863743,36119836,36148571,36182210,36414314,36480170,36492984,36510299,36600674,36604731,36734661,36912232,37318466,37363720,37589691,37629550,37933874,38126916,38402500,38709720,38832306,38860970,39062039,39210792,39252551,39292283,39599973,40096394,40132679,40214507,40897772,40918866,40939970,41022760,41054607,41060882,41290368,41393256,41492332,41526261,41586623,41629452,41726882,41829770,41965919,41979243,42034185,42461666,42856247,42869757,42923567,42928994,43053945,43079327,43418652,43548435,43667391,43776204,43799159,43916951,43924562,44041564,44078279,44112141,44410895,44631287,44836464,45095099,45155460,45260855,45376460,45466792,45583743,45706103,45856031,45907547,45924208,46083000,46150605,46228202,46451664,46567413,46582514,46622363,46633164,46730399,46921847,46978283,47142825,47379455,47405423,47743370,47794076,47929391,48088379,48143522,48165824,48226427,48553804,49127964,49155200,49227312,49339823,49371143,49436025,49917736,49933874,49939391,50062492,50195724,50247887,50272514,50285680,50357162,50441022,50594152,50648402,50763419,51035425,51150141,51166619,51333746,51650987,51664734,51843375,51848411,51855023,51949371,51972347,52157570,52182111,52258122,52731760,52978247,53200823,53209922,53263655,53293074,53389223,53451026,53756500,53944274,54186552,54259946,54313026,54451752,54459371,54473601,54931895,54958143,55127423,55299600,55380726,55512242,55639391,55828124,56157453,56571390,56656667,56787899,56793623,56855346,56892962,56918421,56981051,57292044,57423455,57703071,57787079,57847394,58327586,58579394,58886236,58936127,58985992,58986240,59037071,59274760,59323230,59405282,59830034,59902055,59948699,60313895,60318827,60339119,60342816,60641643,60891623,60893025,60959871,61223210,61242510,61258221,61288557,61339727,61762143,61870466,61968347,62212050,62431851,62519474,62542312,62589084,62761979,62807212,62916520,62918656,62968970,63278112,63321771,63595655,63916386,63928585,63950747,64362743,64421570,64429311,64507800,64626599,64635496,64849525,64952560,65137499,65294507,65325344,65531451,65582210,65861087,65918274,65991345,66124919,66190143,66191663,66359241,66359520,66427394,66445994,66448295,66684105,66716699,66743042,66846891,66893932,67031210,67546802,67579048,67760025,67855436,67885668,68095559,68103506,68776460,68808320,68908146,69201047,69483719,69678146,70065671,70256044,70360101,70377362,70390768,70781085,70783488,70893314,70961151,71063272,71063519,71129712,71187876,71297495,71397071,71817311,71858204,71882466,71962802,72230248,72277360,72354860,72376674,72519170,72571275,72714933,72802247,72907750,73071630,73095170,73467852,73491012,73514594,73756799,74102255,74246210,74320994,74501495,74654460,74879272,75475442,75499824,75562764,75683210,75727547,75769031,75829874,76026429,76314786,76714302,76795000,76821745,76894139,76998124,77026924,77089322,77165183,77298591,77305884,77409360,77476679,77602514,77647931,77682455,77716106,77819430,77921643,77943072,78561125,78574274,78603359,78623099,78698652,78994103,79189614,79234919,79271762,79631424,79737954,79749659,79946181,80020926,80224562,80381819,80437452,80446895,81101291,81125570,81259029,81275660,81312030,81616924,81826823,82167976,82531752,82552970,82569984,82633791,83007392,83042972,83385309,83498162,83659079,83762025,83792087,83815703,83821132,83911391,84091631,84221234,84235739,84239181,84405256,84427847,84726242,84823372,84937302,85046943,85135703,85437803,85446111,85556994,85826186,85976111,86112599,86299922,86372776,86394375,86488012,86732832,86825832,87023004,87085530,87087095,87105551,87302747,87474455,87489300,87685956,87714204,87737762,87848711,88071592,88386380,88526210,88907762,88922706,88991186,89095452,89214059,89346160,89365226,89390271,89401794,89520191,89585352,89585512,89659970,90032162,90098159,90708263,90819852,91004221,91326550,91328255,91329951,91358210,91400234,91522731,91699946,91824524,92154000,92186094,92428082,92438973,92848221,92866143,92891232,93053570,93165352,93218946,93232514,93292562,93321920,93383316,93438651,93583545,93745346,93916559,93923752,93961847,94024034,94058252,94059863,94062203,94198971,94273350,94464170,94766943,94955913,95031707,95096519,95174025,95309570,95332971,95468008,95504834,95562760,95663099,96164162,96536274,96558952,96663095,97169373,97228391,97279370,97341551,97350684,97530792,97548059,97574436,97679061,97758719,97860527,97924379,98297600,98488439,98599259,98729354,98873714,99063564,99080541,99268225,99295067,99321359,99424443,99565226,99577727,99802619,99822448,99854684,99889514,99899282,...,63494036752318947144023734755355873600789393498473661875418181839688259305831886289552712609525107804405310562067608530867683334286589151903294119168375763214378165699521373389959322020255010537314333165638234725029499616688165181238762866383620809189376868022991964112448921631053336626032516818610201967079537978274399636848258019621320955237819647015193095609959708901266400574520744717205879467362123184718748550086350226240711045823868170667134244541754911567662014445725060470023907633973390286229596135203422589749654436296220736141459790833730937089563963669753275157941217528562417160236884753777685131540441600555469817763033853459636414013849462689968783102075926779973407831848425428596287115843883308877924751171024955700800641926476708706035103111549632844888690782639623895382372750912227820480054956365403021392900192317164151385173151588387911622319578293877531249861979591553361007052362111697125957529188179584835687666519028127074482466608829661522736517866634125270947257339895608793435201072810567255283836460250813038974710656784081927159875250599357988888408743421685637946511379016315501595711493378180862305696402137554979785018509507775377061559518565893629587514552866619863604764386611884395000863358398086934244274362396792265929910414327523021585857222977884796782350032917066613883844744747602999579559964467559423629168314311680767746034626249528740670955048541477046347006889058387050162618670848409082741168852398684099251535579091372329957756496109871710413947604199627509622585986018502459229274091498053362478472045764332443107008093280099883861997540463236410286303075216989384040606082739461854877863912520358655511418542319436114326033690690687514357374057976771201082839095693837244811197115554698862352578724695421885514109736006384771482435784580109448077479992459529092408646873231288825541451746662496113584124619958798482772889093288904187258091014703793057265068750315133623764502524321327126220731071702011721789558638772650383915847707228336616922883380788903038330583955113020714497045877584495877284746969039643000182598816193797996912539269505955851544374418212863371127891636211671491073710267574382002255413712439573214751999636114824014033615144820523809033630261011183300286133935217751788009101793908734504152670935961864466106854938761976724336713032455513520082147721154807280748664550468525597733126606701740963652229456623717399005234506308928096927777036324414412263241280786721595948}
15386  1486559290211639131733886673249784951358034455041782124688055100: {46149,199849,215278,307540,338206,369048,415179,567913,706606,860888,968499,1026373,1117849,1152975,1209253,1229840,1383570,1413028,1475808,1483033,1625086,1660284,1665193,1937893,2174446,2334872,2626731,2932249,2965678,3022213,3249748,3269278,3451246,3806552,3917055,4178192,4282371,4377315,4600366,4669136,4700466,4717849,4781278,5079268,5082478,5252778,5483163,5576043,5599849,5803726,5983678,6403006,6527575,6561733,6589011,6676815,6761806,6822553,6901588,6909349,6989255,7121936,7428613,7475672,7833090,7953646,8012178,8207768,8279579,8355296,8369278,8387106,8410131,8547166,8843326,8939288,8970853,9078868,9140773,9233739,9257278,9292195,9375406,9399708,9783683,9901849,9965086,9984650,10056699,10611886,10740649,10808355,11022478,11074153,11150634,11528912,11649891,11827970,11981580,11985349,12016366,12067753,12396649,12588248,12780352,12806149,12947566,12970026,13132453,13307583,13316312,13538713,13557315,13759006,13943173,13976690,14118868,14161779,14193564,14345833,14377896,14461136,14509678,14906533,14980851,15129723,15191524,15225349,15622249,16060126,16175133,16268778,16301955,16517278,16557002,16688446,16772028,16897100,16916446,16947992,16973524,17191849,17298323,17371678,17388752,17502313,17769166,18011575,18042853,18109246,18129315,18222478,18350149,18618286,18956015,18956926,19066491,19069678,19238686,19337936,19463806,19562346,19842968,19869349,19966700,20244649,20276520,20410815,20585566,20618149,20742843,21075292,21311278,21613890,21628288,21751851,21755178,21771536,21801253,21978766,22008152,22021033,22145278,22323339,22385893,22455587,22747218,22748953,22811085,22821349,23054816,23073155,23144655,23182249,23254213,23448728,23652860,23744903,23898649,23912446,23960040,23967406,23969893,24077278,24325033,24331824,24492978,24509955,24511071,24687632,24711890,24759171,24964815,25309849,25554286,25557376,25775524,25936668,26143952,26379819,26471908,26623813,26629136,26792931,26955045,27073678,27343678,27373302,27505486,27687786,27773586,27777433,28151278,28312366,28313113,28383432,28533791,28571403,28687678,28752048,28925823,29042149,29187992,29245924,29411946,29436133,29654268,29814411,29936548,29957413,29957778,30022249,30107560,30393406,30446446,30677331,30799979,30922393,30986149,31187326,31320255,31503886,31871173,31931361,32079410,32298203,32346054,32693255,32788731,32803753,32836491,32961650,33078046,33408272,33703678,33714388,33720133,33789800,33871005,33921290,34013575,34082149,34142233,34309443,34489155,34566895,34739113,34844686,34916773,35211433,35270149,35302700,35420068,35562649,35894915,36029278,36129072,36219099,36541678,36643966,36695086,36714649,36719643,36788432,36855291,36871055,37019288,37307278,37584306,37795924,38013525,38169193,38474206,38495292,38809828,39231906,39254953,39553980,39783443,39997849,40157668,40183682,40259749,40322625,40433566,40483486,40547760,40645206,40705548,40809315,40816290,40844575,40932046,41034649,41180686,41230366,41289349,41386986,41391039,41480274,41592613,41646699,41876571,41924206,41966552,41992933,42092293,42145096,42190912,42362931,42363240,42486853,42713326,42779749,42959086,43010800,43073898,43117975,43214233,43250944,43309993,43337451,43507108,43510755,43529936,43537376,43678019,43784473,43972249,43999970,44078168,44245266,44269883,44506324,44619646,44711833,44765278,44939173,45119749,45149795,45187456,45566149,45616230,45636046,45961753,46058763,46140290,46265413,46357726,46411472,46453678,46480153,46704650,47212371,47413233,47464776,47485849,47586008,47645283,47658645,47818324,47852293,47932933,48003125,48287954,48387150,48595678,48645733,48657312,48806308,48878149,48971178,48979548,49013490,49107973,49297513,49484019,49587939,49597033,49631086,49660059,49964953,50001349,50005678,50119588,50332606,50361349,50396953,50565646,50573893,50749033,50835888,50898243,51122215,51278450,51401278,51431593,51564649,51612743,51612960,51696553,51741570,51776408,51859813,51865415,51899331,52001566,52036815,52212906,52276683,52281056,52525849,52556773,52799964,52919806,53011993,53101093,53239678,53397873,53534259,53604286,53678533,53922478,53983849,54011173,54092713,54179754,54273315,54280453,54386149,54490693,54558488,54619753,54621471,54670873,54720255,54724523,54737086,54739476,54901011,54996133,55020649,55051955,55053824,55166233,55191008,55356313,55368348,55379749,55501678,55505936,55744933,55972324,55977699,56045580,56049349,56154649,56439913,56444325,56459749,56538373,56556059,56720575,56750926,56833490,56900811,56950213,57038953,57159676,57177193,57190374,57343513,57359749,57405260,57439849,57455653,57603750,57868933,57891536,58002853,58064580,58141849,58154053,58163278,58213993,58223188,58248459,58291455,58294846,58317349,58368272,58425349,58470046,58655173,58697833,58777753,58792873,58816188,58819678,58915993,58946053,58957573,59025433,59052649,59077273,59092249,59127493,59131667,59147653,59181673,59182213,59742595,59775886,59781952,60144591,60207280,60692255,60778324,61067326,61195678,61281166,61346658,61378299,61409955,61444000,61534140,61591323,61591922,61835278,61920286,61935552,61962766,62089884,62177552,62180363,62238498,62397170,62444178,62555806,62578115,62590323,62682478,62744655,62857100,63201467,63242690,63692499,63732478,63857806,63941278,64393491,65061886,65127978,65309326,65503952,65519363,65636416,65664306,65886843,65914700,66062346,66334126,66903646,66927632,67195625,67254696,67733190,67752046,67912846,67962323,68064690,68200188,68233678,68752846,68886312,69110686,69124500,69265828,69342303,69576148,69677496,69785155,69873771,69949746,70489966,71057432,71191678,71308126,71579278,71615055,71691114,71896979,72157678,72215283,72248736,72349678,72417368,72602336,72631468,72830706,72923278,73277524,73606846,73607795,73691946,73732490,73732800,73758046,73840968,73854599,74093450,74510206,74876604,74900811,74995678,75070126,75093738,75137231,75293586,75408771,75428520,75441406,75535743,75576179,75661533,75807128,75847966,75891228,75972603,76389392,76545646,76937428,77000619,77062643,77497101,77635486,77743678,78177890,78236355,78354046,78387183,78387323,78509015,78645650,78648320,79097640,79243246,79814883,79939611,79982446,80176539,80308631,80457088,80506126,80575678,80634750,80794370,80855524,80916411,81026206,81190700,81279828,81389919,81469539,81519683,81656680,81677628,81714046,81718076,82183283,82349524,82463278,82531006,82949400,83071089,83129167,83242468,83268363,83452112,83472478,83534507,83617415,83742186,84137278,84368446,84370816,84429028,84473810,84489083,84565966,84819295,84857085,84959278,85221848,85283019,85339443,85905748,85938066,85970575,86010400,86771091,86891278,87095411,87344642,87375268,87491379,87522478,87820055,87869091,87891032,87988460,87991678,88253524,88329354,88478988,88479360,88549966,88829090,88912140,88984845,89107923,89129188,89199451,89286286,89745051,89822755,89832478,90283678,90287810,90346700,90443575,90514224,91086766,91255283,91834815,91863765,91877528,92139406,92686606,92805699,92915278,93000766,93002987,93278003,93318075,93599090,93779211,93813468,93883626,94086347,94099006,94196531,94210818,94374780,94377984,94453455,94614868,94680286,94839616,94917168,94927246,95281678,95687278,95721563,95821678,95843288,95874579,95993750,96089278,96247655,96283655,96402467,96502232,96540526,96619678,96632355,96761700,96953244,97273678,97428840,97712686,97831979,97866526,97957136,97988016,98172478,98248606,98373315,98551678,98877411,99249886,99539280,99641091,99668991,99838366,...,95241055128478420716035602133033810401184090247710492813127272759532388958747829434329068914287661706607965843101412796301525001429883727854941178752563644821567248549282060084938983030382515805971499748457352087544249425032247771858144299575431213784065302034487946168673382446580004939048775227915302950619306967411599455272387029431981432856729470522789643414939563351899600861781117075808819201043184777078122825129525339361066568735802256000701366812632367351493021668587590705035861450960085429344394202805133884624481654444331104212189686250596405634345945504629912736911826292843625740355327130666527697310662400833204726644550780189454621020774194034953174653113890169960111747772638142894430673765824963316887126756537433551200962889715063059052654667324449267333036173959435843073559126368341730720082434548104532089350288475746227077759727382581867433479367440816296874792969387330041510578543167545688936293782269377253531499778542190611723699913244492284104776799951187906420886009843413190152801609215850882925754690376219558462065985176122890739812875899036983332613115132528456919767068524473252393567240067271293458544603206332469677527764261663065592339277848840444381271829299929795407146579917826592501295037597130401366411543595188398894865621491284532378785834466827195173525049375599920825767117121404499369339946701339135443752471467521151619051939374293111006432572812215569520510333587580575243928006272613624111753278598026148877303368637058494936634744164807565620921406299441264433878979027753688843911137247080043717708068646498664660512139920149825792996310694854615429454612825484076060909124109192782316795868780537983267127813479154171489050536036031271536061086965156801624258643540755867216795673332048293528868087043132828271164604009577157223653676870164172116219988689293638612970309846933238312177619993744170376186929938197724159333639933356280887136522055689585897603125472700435646753786481990689331096607553017582684337958158975575873771560842504925384325071183354557495875932669531071745568816376743815927120453559464500273898224290696995368808904258933777316561627319295056691837454317507236610565401361573003383120568659359822127999454172236021050422717230785713550445391516774950429200902826627682013652690863101756229006403942796699160282408142965086505069548683270280123221581732210921122996825702788396599689910052611445478344184935576098507851759463392145391665554486621618394861921180082393922}
15387  1493201028382429415090939717223525550728147966507706954193508290: {61532,322917,384425,461310,492064,507309,553572,753277,1059909,1076110,1291332,1537300,1766285,1844760,1967744,2043013,2075355,2119542,2213712,2437629,2490426,2596009,2872133,2918590,3261669,3330733,3502308,3655918,4062185,4085494,4393246,4448517,4758190,4874622,4903917,5176869,5191342,5222740,5540989,5709828,5836420,6231694,6267288,6349085,6541213,6900549,7003704,7050699,7171917,7181797,7310884,7434724,7618902,7623717,7821877,7879167,7925093,8570029,8626985,8705589,8785348,8902420,8975517,9178702,9344590,9604509,9915454,10087798,10142709,10259710,10352382,10444120,10682904,10684313,10777693,11014717,11174110,11182808,11213508,11348585,11651773,11749635,11930469,12018267,12143209,12311652,12532944,12553917,12580659,12653494,12820749,12891689,13264989,13332397,13408932,13618302,13885917,14063109,14099562,14411140,14503126,14829493,14867512,14947629,14965973,14976975,15215158,15533188,15735310,15917829,15975440,16342846,16533717,16645390,16725951,16920694,17137822,17293368,17362597,17570893,17648585,17740813,17741955,17743444,17971613,17972370,18024549,18076420,18465893,18882372,18924752,18971909,18989405,19050094,19170528,19257133,19264297,19286398,19421349,19455039,19974468,20172964,20412229,20447869,20517637,20550046,20638509,20963497,20965035,21109582,21121375,21178302,21184990,21216905,21290346,21552574,21566844,21569957,21601678,21691704,21735940,21764517,21862006,22362704,22562518,22787286,22875958,22948789,23300494,23490142,24090189,24172420,24353437,24403167,24775917,24803710,24835503,24957053,24958375,25032669,25158042,25345650,25374669,25421988,25460286,25539493,26057517,26083128,26176589,26216873,26344115,26653749,27035360,27163869,27214420,27333717,27359734,27510190,27657124,27763397,27927429,28144453,28435389,28604517,28818520,28858029,29002468,29006904,29037502,29195709,29232238,29310910,29343519,29481173,29566075,29764452,29950050,30300982,30329624,30414780,30840382,30859540,30878349,31057897,31475933,31601389,31612938,31746718,31755253,31946720,31966917,32189878,32219405,32391877,32420835,32442432,32601118,32632767,32657304,32679940,32681428,32874574,32968149,32993662,33012228,33089885,33217917,33286420,34120827,34318294,34507273,34582224,34604086,35173092,35455949,35477657,35479290,35723908,35749129,35868669,35940060,35951109,36115917,36484990,36497736,36557405,36720733,36739467,36776533,36876959,36917048,36979253,37031448,37067835,37413373,37420685,37634450,37827053,37844576,38079917,38088694,38095204,38190622,38331429,38336064,38567764,38568397,38663286,38905002,38925646,38951254,39215928,39409289,39539024,39707862,39752548,39795173,39943704,40101646,40610038,40610517,40890382,40903108,41015517,41059953,41066254,41258229,41263177,41531679,41637757,41660379,41760340,42142985,42226917,42237250,42468549,42575148,43031517,43128072,43255342,43657573,43718308,43781988,43868886,44013037,44117919,44128375,44275085,44481402,44604598,44637133,44701613,44830942,44904822,44936667,45161340,45304357,45590109,45669669,45745924,45883813,45891574,45897029,45985540,46274110,46441438,46780989,47244905,47255829,47738677,47935669,47980277,48119115,48172096,48292132,48512285,48519081,48567694,48612509,48959524,49140388,49442475,49617069,50112408,50197085,50363758,50555517,50571582,50655094,50684700,50814377,50881935,50952653,51072238,51327056,51340462,51666814,51910846,51939989,52228093,52267029,52309208,52458190,52559518,52681370,52738640,52954050,53130102,53151389,53763500,54043917,54063680,54193608,54274064,54383885,54405358,54412420,54421720,54812517,54965949,55042629,55052062,55097710,55182648,55188052,55307032,55519789,55528932,55632905,55835428,55960917,56281534,56376459,56483908,56484320,56549854,56575702,56693886,57315958,57431864,57434669,57711309,57742938,57783268,57847373,58014340,58214742,58561678,58847859,58993688,59302133,59330970,59413054,59482510,59739382,59772905,59957657,60236502,60275523,60498526,60650349,60725229,60821640,60967809,61007885,61058322,61224435,61283209,61398069,61411684,61466953,61477253,61771029,61845549,62043094,62080479,62175253,62220411,62363533,62649485,62886309,62949828,63217644,63286368,63365197,63502198,63527044,63544860,64069989,64438629,64516200,64610847,64720510,64876416,65260662,65294904,65306064,65351320,65570053,65810638,65869789,65978692,65999955,66117252,66213412,66331237,66367899,66654989,66751774,66759486,66840718,66929469,67147917,67502389,67543397,67781184,67864324,68198110,68365102,68424345,68454069,68817280,68936813,68988760,69005518,69056873,69199108,69210435,69382420,69536589,69617208,69680517,69687262,69702244,69965405,69999214,70056975,70399952,70574489,70708222,71197164,71379012,71449595,71727486,71756575,72239672,72297142,72364420,72431931,72580725,72778985,72828628,72893517,72960340,72985968,73020598,73201348,73209462,73456767,73469322,73520235,73824464,73973533,74446629,74569117,74636932,74727440,75008517,75098537,75179382,75259100,75498909,75848469,75867748,75972905,76253832,76606757,76770229,76805000,76904653,76917675,77101917,77419440,77612355,77664612,77721940,78002349,78124078,78319359,78421584,78492293,78505102,78571375,78584566,79030277,79199946,79379709,79423933,79859517,80192788,80265358,80392837,80406429,80429014,80670613,80870597,80883717,81087029,81120617,81219289,81269631,81542249,81795544,81837732,81879940,82045520,82105629,82109214,82121764,82393375,82580736,82786512,82984664,83052522,83100037,83173246,83240333,83252517,83258904,83453764,83659540,83862877,83931838,83958486,84068370,84439453,84916813,84923332,85126389,85250235,85712494,85739514,85785561,85847134,85857988,86107890,86158654,86352317,86405625,86582285,86614793,86837304,86970185,87096870,87244917,87334782,87442269,87552408,87598318,87705069,87833902,87849124,87850813,88083128,88156558,88224282,88229517,88256137,88821790,89033917,89262574,89297477,89500019,89663829,89672928,89768069,90117017,90190198,90310920,90521710,90737693,90752920,90789335,90933584,91167486,91345949,91412206,91592797,91596905,91600989,91712062,91736909,91793517,91815094,91848416,91921749,92019987,92166000,92301210,92387883,92456404,92752917,92880429,92903328,92944149,93027613,93134826,93165028,93244726,93266328,93357747,93460798,93595755,93666267,93833709,93843694,93956566,94023717,94249597,94285650,94758910,94810846,94864035,95486740,95588152,95598717,95786709,95858782,95911917,96171785,96176758,96219413,96243493,96287044,96331648,96429509,96452854,97107608,97481429,97592829,97691967,97963989,98255928,98310400,98454624,98496459,98648149,98679646,98742286,98872050,99093519,99501189,99607373,99816493,99835472,99867748,99878782,...,142861582692717631074053403199550715601776135371565739219690909139298583438121744151493603371431492559911948764652119194452287502144825591782411768128845467232350872823923090127408474545573773708957249622686028131316374137548371657787216449363146820676097953051731919253010073669870007408573162841872954425928960451117399182908580544147972149285094205784184465122409345027849401292671675613713228801564777165617184237694288009041599853103703384001052050218948551027239532502881386057553792176440128144016591304207700826936722481666496656318284529375894608451518918256944869105367739439265438610532990695999791545965993601249807089966826170284181931531161291052429761979670835254940167621658957214341646010648737444975330690134806150326801444334572594588578982000986673900999554260939153764610338689552512596080123651822156798134025432713619340616639591073872801150219051161224445312189454080995062265867814751318533404440673404065880297249667813285917585549869866738426157165199926781859631329014765119785229202413823776324388632035564329337693098977764184336109719313848555474998919672698792685379650602786709878590350860100906940187816904809498704516291646392494598388508916773260666571907743949894693110719869876739888751942556395695602049617315392782598342298432236926798568178751700240792760287574063399881238650675682106749054009920052008703165628707201281727428577909061439666509648859218323354280765500381370862865892009408920436167629917897039223315955052955587742404952116247211348431382109449161896650818468541630533265866705870620065576562102969747996990768209880224738689494466042281923144181919238226114091363686163789173475193803170806974900691720218731257233575804054046907304091630447735202436387965311133800825193509998072440293302130564699242406746906014365735835480515305246258174329983033940457919455464770399857468266429990616255564280394907296586239000459900034421330704783083534378846404688209050653470130679722986033996644911329526374026506937238463363810657341263757388076487606775031836243813899004296607618353224565115723890680680339196750410847336436045493053213356388400665974842440978942585037756181476260854915848102042359505074680852989039733191999181258354031575634075846178570325668087275162425643801354239941523020479036294652634343509605914195048740423612214447629757604323024905420184832372598316381684495238554182594899534865078917168217516277403364147761777639195088218087498331729932427592292881770123590883}
15388  1499872205314655641132441842117765036935038608044245893808839939: {76915,92298,169147,399698,430556,445411,615080,676412,691965,738096,830358,904411,1135826,1361611,1413212,1543987,1614165,1721776,1921625,1936998,2052746,2235698,2305950,2418506,2459680,2767140,2826056,2951616,2966066,3179313,3250172,3320568,3330386,3441547,3620611,3735639,3799387,3875786,3888667,4245067,4348892,4377885,4669744,4688947,5253462,5483877,5864498,5931356,6044426,6128241,6272011,6446467,6499496,6528425,6538556,6589869,6707611,6902492,7137285,7295525,7311933,7314427,7573411,7613104,7745707,7787013,7834110,8260867,8356384,8564742,8754630,9113707,9138605,9200732,9293405,9338272,9347541,9400932,9435698,9452827,9537427,9562556,9784957,10158536,10164956,10505556,10547011,10966326,10981685,11128025,11131147,11152086,11199698,11428353,11607452,11629027,11967356,12041947,12206611,12806012,13009073,13055150,13123466,13178022,13353630,13523612,13594627,13645106,13768053,13803176,13818698,13978510,14016885,14079547,14243872,14642011,14857226,14873181,14951344,15131697,15200947,15389565,15528573,15666180,15907292,16024356,16415536,16559158,16710592,16738556,16761165,16774212,16778467,16820262,17094332,17401411,17686652,17878576,17941706,18013925,18157736,18281546,18327187,18403867,18467478,18514556,18584390,18750812,18799416,18980241,19416485,19567366,19803698,19930172,19969300,20113398,20427453,20596267,20670787,20968147,21149343,21223772,21481298,21559411,21616710,21754689,22044956,22146067,22148306,22179305,22301268,22510387,22595525,22822737,22872907,23057824,23233627,23299782,23377411,23602965,23655940,23963160,23970698,24032732,24135506,24514269,24587947,24793298,24968085,25176496,25216205,25381041,25499611,25560704,25612298,25638787,25706733,25895132,25940052,25985467,26264906,26538421,26615166,26632624,26958555,27077426,27114630,27169925,27518012,27886346,27953380,28228411,28237736,28323558,28387128,28575141,28691666,28755792,28922272,28929597,29019356,29418787,29745307,29813066,29961702,30215525,30259446,30383048,30450698,30521611,30649987,30825069,30969667,31244498,31572893,31664373,31666627,31767453,31777485,31935519,31980547,32120252,32302417,32328861,32350266,32402517,32537556,32603910,32793009,33034411,33034556,33114004,33376892,33544056,33721753,33794200,33832892,33843777,33895984,33947048,34018025,34180929,34247611,34313937,34383698,34546411,34571405,34596646,34665427,34743356,34777504,34950741,35004626,35020747,35235213,35432011,35538332,35839747,36023150,36085706,36186427,36218492,36253085,36258630,36301411,36444956,36700298,37205565,37236572,37267147,37547227,37737063,37912030,37913852,38018475,38132982,38139356,38190429,38267011,38431387,38477372,38574425,38675872,38920627,38927612,39124692,39685936,39738698,39933400,40301227,40489298,40553040,40819267,40821630,40849925,40851785,41039601,41171132,41177611,41236298,41265285,41279347,41485686,41532427,41608025,42082867,42150584,42280867,42622556,43013107,43227780,43256576,43503702,43510356,43543072,43556253,43602506,43776307,43848357,43957532,43966365,44016304,44042066,44290556,44646678,44654885,44771786,44911174,44925075,44931907,45451473,45470611,45494436,45497906,45622170,45642698,45692011,45770557,46109632,46146310,46260573,46289310,46364498,46474147,46508426,46897456,47066347,47108107,47191411,47305720,47419407,47480707,47489806,47619005,47620077,47797298,47824892,47920080,47934812,47939786,48154556,48209705,48284817,48393653,48406411,48650066,48663648,48680587,48901677,48985956,49019910,49022142,49311861,49375264,49423780,49490493,49518342,49690685,49925611,49929630,50107411,50252881,50358907,50619698,50746987,50816611,51108572,51114752,51128885,51329611,51477441,51551048,51563467,51619477,51873336,51906129,52200425,52212187,52287904,52401187,52463611,52759638,52943816,53160787,53218935,53247626,53258272,53452027,53509411,53585862,53707987,53847667,53910090,54147356,54388387,54519067,54647885,54687356,54727485,54746604,54974611,55010972,55097011,55265347,55375572,55547172,55554866,55614187,55793611,55859707,55968427,56075347,56302556,56365147,56451675,56485027,56624732,56626226,56754667,56766864,57067582,57133041,57142806,57182405,57285933,57334411,57375356,57415411,57481925,57494611,57504096,57821707,57851646,57891187,57932011,57958867,57994929,58084298,58187611,58247011,58327147,58357503,58360411,58375984,58382227,58388469,58426881,58491848,58657411,58717387,58742011,58823892,58872266,58902787,59047867,59078611,59138587,59152267,59154787,59176027,59179411,59308536,59561793,59628822,59873096,59914826,59915556,60044498,60152469,60215120,60365165,60786812,60892892,60915057,61199405,61335573,61354662,61425485,61599381,61599958,61844786,61972298,62374652,62640510,63007772,63209713,63355875,63742346,63862722,64158820,64596406,64692108,64883013,65386510,65577462,65607506,65672982,65803329,65923300,66156092,66722103,66816544,66906897,67204375,67246413,67357233,67407356,67428776,67440266,67579600,67742010,67842580,68015525,68027150,68164298,68284466,68618886,68627933,68837361,68978310,68985065,69133790,69411165,69478226,69662157,69689372,69794285,69833546,70422866,70540298,70604885,70605400,70840136,71125298,71571101,71789830,72058556,72229085,72258144,72438198,72517925,72611581,72851541,73083356,73287932,73390172,73429298,73439286,73576864,73710582,73742110,74038576,74614556,75168612,75545637,75591848,75857373,75982641,76027050,76338386,76608357,76764605,76948412,76990584,77010693,77072737,77500221,77619656,77866269,78463812,78509906,78687285,78839277,79022055,79107960,79408805,79431075,79566886,79695153,79995698,80315336,80319109,80367364,80519498,80645250,80867132,80966972,81095520,81290412,81411096,81608037,81618630,81632580,81689150,81864092,82069298,82361372,82460732,82473365,82578093,82578698,82646565,82766765,82773972,82782078,82960548,83140013,83185226,83293398,83639633,83753142,83848412,83933104,83985866,84184586,84290192,84381824,84422301,84725862,84726480,84824781,84830405,84863553,84969157,84973706,85040829,85426652,85559498,85918172,85973937,86021600,86147796,86235950,86428466,86498885,86501888,86614407,86619986,86674902,86728025,87014216,87021510,87059872,87074752,87119153,87127805,87322113,87356038,87568946,87609361,87842517,87944498,87999940,88156336,88490532,88539766,88862213,88996455,89012648,89119581,89211089,89223765,89239292,89423666,89530556,89609073,89878346,90239498,90299590,90354753,90374912,90455525,90747789,91035785,91132298,91200425,91232460,91272092,91501685,91587483,91923506,92117526,92280580,92530826,92715452,92822944,92907356,92909069,92960306,93064641,93296165,93409300,94073875,94424742,94826466,94834685,94929552,94971698,95172016,95253297,95290566,95317290,95636648,95704586,95865866,96006250,96575908,96774300,97080765,97152425,97191356,97291466,97314624,97612616,97699217,97756298,97890993,97942356,97959096,98026980,98202269,98215946,98243561,98595026,98715957,98968038,99175878,99194066,99262172,99320118,99929906,...,190482110256956841432071204266067620802368180495420985626254545519064777917495658868658137828575323413215931686202825592603050002859767455709882357505127289643134497098564120169877966060765031611942999496914704175088498850064495543716288599150862427568130604068975892337346764893160009878097550455830605901238613934823198910544774058863962865713458941045579286829879126703799201723562234151617638402086369554156245650259050678722133137471604512001402733625264734702986043337175181410071722901920170858688788405610267769248963308888662208424379372501192811268691891009259825473823652585687251480710654261333055394621324801666409453289101560378909242041548388069906349306227780339920223495545276285788861347531649926633774253513074867102401925779430126118105309334648898534666072347918871686147118252736683461440164869096209064178700576951492454155519454765163734866958734881632593749585938774660083021157086335091377872587564538754507062999557084381223447399826488984568209553599902375812841772019686826380305603218431701765851509380752439116924131970352245781479625751798073966665226230265056913839534137048946504787134480134542586917089206412664939355055528523326131184678555697680888762543658599859590814293159835653185002590075194260802732823087190376797789731242982569064757571668933654390347050098751199841651534234242808998738679893402678270887504942935042303238103878748586222012865145624431139041020667175161150487856012545227248223506557196052297754606737274116989873269488329615131241842812598882528867757958055507377687822274494160087435416137292997329321024279840299651585992621389709230858909225650968152121818248218385564633591737561075966534255626958308342978101072072062543072122173930313603248517287081511734433591346664096587057736174086265656542329208019154314447307353740328344232439977378587277225940619693866476624355239987488340752373859876395448318667279866712561774273044111379171795206250945400871293507572963981378662193215106035165368675916317951151747543121685009850768650142366709114991751865339062143491137632753487631854240907118929000547796448581393990737617808517867554633123254638590113383674908635014473221130802723146006766241137318719644255998908344472042100845434461571427100890783033549900858401805653255364027305381726203512458012807885593398320564816285930173010139097366540560246443163464421842245993651405576793199379820105222890956688369871152197015703518926784290783331108973243236789723842360164787844}
15389  1506572950455252898870008619204981522337376118433371853913776125: {123064,138447,538195,599547,645834,768850,845515,922620,984128,1014618,1107144,1245537,1506554,1703739,1766515,2119818,2152220,2472799,2582664,2872507,2905497,3074600,3079119,3210031,3353547,3394339,3458925,3532570,3627759,3689520,3935488,4062715,4086026,4150710,4239084,4427424,4449099,4875258,4896331,4980852,4995579,5192018,5436115,5687059,5744266,5813679,5837180,6001459,6523338,6661466,7004616,7311836,7414195,7880193,7926127,8124370,8170988,8173195,8628115,8786492,8796747,8888719,8897034,9066639,9366019,9516380,9749244,9807834,9942031,10353738,10382684,10445480,10685707,11081978,11205499,11419656,11500915,11672840,11751165,11941291,11953195,11954767,12077779,12463388,12534576,12698170,12706195,12847113,12893371,13044979,13082426,13131945,13294831,13780771,13801098,13802419,14007408,14101398,14153547,14343834,14363594,14509315,14621768,14869448,14959195,14967931,15237804,15247434,15358939,15643754,15758334,15850186,15888019,16007515,16449489,16559839,16728129,16799547,16904515,16972747,17140058,17253970,17411178,17570696,17687059,17804840,17951034,17973967,18214291,18307531,18357404,18666547,18689180,18986059,19209018,19582725,19685199,19767033,19830908,19884115,20030445,20175596,20285418,20467659,20519420,20638351,20704764,20728047,20771599,20871619,20888240,20923195,20967765,21239179,21365808,21367915,21368626,21555386,21572779,22029434,22108315,22285839,22348220,22365616,22421347,22427016,22697170,22968187,23143195,23303546,23438515,23499270,23526859,23575759,23860938,24036534,24107599,24286418,24623304,24708019,24838737,24912715,24961625,25065888,25107834,25161318,25230393,25292047,25306988,25641498,25731067,25783378,26220307,26529715,26529978,26585167,26664794,26736019,26817864,26912559,27063931,27236604,27422319,27556195,27701217,27771834,27776479,27876585,27981871,28126218,28199124,28282339,28822280,29006252,29301211,29312539,29351049,29494699,29569925,29658986,29703667,29705547,29735024,29895258,29926831,29931946,29953950,30001339,30040915,30170097,30430316,30919279,31029679,31066376,31272019,31470620,31480051,31835658,31907887,31950880,32221947,32362579,32368915,32425065,32685692,33067434,33222459,33290780,33451902,33646687,33841388,33941707,34065139,34275644,34397515,34586736,34725194,34941725,34949673,35141786,35297170,35481626,35483910,35486888,35943226,35944740,35956047,35995579,36049098,36152840,36158047,36203259,36274195,36771739,36881761,36931786,36984091,37189947,37552399,37764744,37849504,37943818,37978810,38084899,38100188,38160331,38232787,38341056,38418447,38514266,38528594,38572796,38783119,38842698,38910078,39397359,39414451,39651499,39800431,39922749,39948936,40128187,40150315,40345928,40616139,40671945,40824458,40895738,41035274,41100092,41277018,41293195,41392505,41721115,41829519,41926994,41930070,42127171,42219164,42242750,42291115,42356604,42369980,42433810,42485337,42580692,42747067,42934819,43037499,43105148,43133688,43139914,43203356,43383408,43429195,43471880,43529034,43724012,44422915,44471347,44693611,44700259,44704699,44719599,44725408,44942553,45033967,45107167,45125036,45273115,45389169,45556195,45574572,45676047,45751916,45897578,46012747,46232299,46325839,46545715,46600988,46866747,46891099,46980284,47030659,47392315,47674195,47771179,48096715,48180378,48344840,48525399,48659515,48680719,48706874,48806334,48905865,49456291,49551834,49607420,49671006,49914106,49916750,50065338,50261059,50316084,50691300,50749338,50843976,50920572,50959327,51078986,51180367,51330259,51463915,51575547,51894969,52115034,52148659,52166256,52353178,52387939,52388959,52433746,52506939,52517707,52688230,52829179,53158351,53278195,53307498,54034725,54070720,54128559,54220219,54327738,54382507,54387945,54428840,54473647,54667434,54719468,54946915,54953131,55020380,55050447,55314248,55363195,55526794,55680091,55854858,56103139,56288906,56671519,56792539,56868045,56870778,57199473,57209034,57373327,57429859,57451147,57637040,57716058,58004936,58013808,58075004,58379359,58391418,58464476,58621820,58687038,58962346,59000179,59052547,59132150,59525359,59528904,59608047,59781115,59900100,59918515,59965579,60193195,60334639,60452947,60601964,60659248,60733947,60829560,61232445,61680764,61719080,61756698,61779725,61836847,61854447,61985119,61991707,62115794,62228529,62524879,62951866,63202778,63225876,63493436,63510506,63885715,63893440,63919951,63933834,64379756,64438810,64521307,64783754,64841670,64884864,65202236,65255553,65265534,65314608,65359880,65362856,65403759,65749148,65936298,65987324,66024456,66063099,66142867,66179770,66435834,66572840,66862267,66970017,67011499,67157679,67345531,67352947,67366761,67684195,67917199,68241654,68246859,68359195,68433255,68464047,68636588,68709871,68763715,69014546,69164448,69208172,69219465,69265867,69433965,69546747,69570307,69762639,70084339,70275919,70346184,70378195,70780915,70863727,70911898,70955314,70958580,71234709,71447816,71498258,71695947,71719195,71737338,71880120,71902218,71909679,72089707,72140431,72231834,72349027,72969980,72975099,72995472,73114810,73441466,73478934,73529865,73533213,73553066,73579699,73734331,73753918,73834096,73958506,74017147,74062896,74135670,74277513,74826746,74841370,74894445,75268900,75489679,75654106,75689152,75929547,75983515,76116115,76137439,76159834,76177388,76190408,76193179,76381244,76662858,76672128,77135528,77136794,77181211,77326572,77810004,77851292,77886067,77902508,77968315,78038659,78431856,78759715,78818578,79040719,79078048,79139457,79415724,79505096,79590346,79627507,79726579,79771087,79871439,79887408,80030491,80198525,80203292,80378793,80404687,80865135,81220076,81221034,81470779,81670831,81730507,81780764,81806216,82031034,82119906,82132508,82404125,82516458,82526354,82695115,83063358,83156947,83251531,83275514,83320758,83332299,83520680,83682067,83933659,84259195,84285970,84453834,84474500,84803225,84937098,84939339,85150296,85411039,85601373,85714209,86063034,86256144,86510684,86777469,87111715,87126447,87178459,87315146,87436616,87494131,87563976,87709279,87737772,87966379,88026074,88235838,88256750,88308399,88550170,88962804,89209196,89238127,89274266,89403226,89443233,89661884,89809644,89872239,89873334,90066747,90073195,90322680,90608714,90664219,90808267,90834379,91180218,91339338,91354195,91491848,91609915,91624339,91737715,91767626,91783148,91794058,91971080,92031993,92296747,92399937,92534479,92548220,92588227,92696731,92763619,92767179,92850691,92882876,92958447,93268195,93561978,93813547,93960765,94489810,94511658,95477354,95613519,95794083,95871338,95960554,96185515,96238230,96344192,96584264,96894609,97024570,97038162,97135388,97225018,97378831,97890979,97919048,97951567,98079765,98175247,98280776,98366193,98374939,98411259,98509473,98625967,98884950,98929819,99082579,99234138,99843439,...,285723165385435262148106806399101431203552270743131478439381818278597166876243488302987206742862985119823897529304238388904575004289651183564823536257690934464701745647846180254816949091147547417914499245372056262632748275096743315574432898726293641352195906103463838506020147339740014817146325683745908851857920902234798365817161088295944298570188411568368930244818690055698802585343351227426457603129554331234368475388576018083199706207406768002104100437897102054479065005762772115107584352880256288033182608415401653873444963332993312636569058751789216903037836513889738210735478878530877221065981391999583091931987202499614179933652340568363863062322582104859523959341670509880335243317914428683292021297474889950661380269612300653602888669145189177157964001973347801999108521878307529220677379105025192160247303644313596268050865427238681233279182147745602300438102322448890624378908161990124531735629502637066808881346808131760594499335626571835171099739733476852314330399853563719262658029530239570458404827647552648777264071128658675386197955528368672219438627697110949997839345397585370759301205573419757180701720201813880375633809618997409032583292784989196777017833546521333143815487899789386221439739753479777503885112791391204099234630785565196684596864473853597136357503400481585520575148126799762477301351364213498108019840104017406331257414402563454857155818122879333019297718436646708561531000762741725731784018817840872335259835794078446631910105911175484809904232494422696862764218898323793301636937083261066531733411741240131153124205939495993981536419760449477378988932084563846288363838476452228182727372327578346950387606341613949801383440437462514467151608108093814608183260895470404872775930622267601650387019996144880586604261129398484813493812028731471670961030610492516348659966067880915838910929540799714936532859981232511128560789814593172478000919800068842661409566167068757692809376418101306940261359445972067993289822659052748053013874476926727621314682527514776152975213550063672487627798008593215236706449130231447781361360678393500821694672872090986106426712776801331949684881957885170075512362952521709831696204084719010149361705978079466383998362516708063151268151692357140651336174550324851287602708479883046040958072589305268687019211828390097480847224428895259515208646049810840369664745196632763368990477108365189799069730157834336435032554806728295523555278390176436174996663459864855184585763540247181766}
15390  1513303393815826430668171244429956594417681937985547126364288730: {107681,153830,184596,199901,261341,338294,445469,476129,629309,799396,861112,890822,904529,935069,968751,1087649,1153275,1230160,1270481,1352824,1383930,1476192,1521927,1544189,1574561,1660716,1726301,1808822,1938401,1998929,2259831,2270909,2271652,2391581,2482001,2632541,2690275,2723222,2826424,2903009,2993021,3087974,3179727,3228330,3443552,3471869,3650909,3799889,3843250,3873996,4067549,4105492,4275281,4471396,4611900,4630481,4719101,4778141,4837012,4919360,5072861,5298855,5396129,5534280,5601341,5652112,5903232,5932132,6129039,6226065,6301949,6358626,6476381,6500344,6563489,6621521,6641136,6660772,6882269,6883094,6969041,7241222,7296475,7312887,7430609,7471278,7488161,7598774,7746749,7751572,7775441,7777334,7788027,8119121,8347601,8433149,8490134,8547101,8616399,8697784,8755770,8774621,8973281,9139795,9143249,9312929,9339488,9377894,9482321,9623261,9707729,9785007,9904541,9960701,9992199,10157009,10213735,10506924,10743581,10967754,10983115,10993889,11077181,11132669,11243549,11630621,11728996,11862712,11895475,12043601,12071069,12088852,12186555,12208289,12256482,12400061,12454781,12544022,12794047,12864161,12892934,12978355,12998992,13010767,13056850,13077112,13179738,13190369,13345551,13415222,13434269,13596509,13758461,13804984,13947041,14000849,14162081,14274570,14591050,14623866,14628854,14670749,14711751,15043709,15146822,15226208,15229601,15309149,15374359,15491414,15530607,15547361,15574026,15579235,15668220,15679421,15837629,16521734,16622967,16712768,16937021,17129484,17196701,17248541,17429729,17507261,17509260,18099281,18227414,18277210,18355361,18401464,18406481,18559649,18586810,18676544,18695082,18801864,18871396,18905654,19047255,19074854,19093469,19125112,19346429,19569914,19623639,19875041,19925201,20317072,20325329,20329912,20624081,20673761,20698589,20701647,20971169,21011112,21094022,21152097,21218129,21439709,21515751,21545391,21562529,21856481,21932652,21963370,22076189,22173629,22256050,22262294,22304172,22392401,22399396,22856706,22871151,22876241,22900349,22946755,23189021,23214904,23237021,23258054,23261009,23361475,23380829,23465631,23524349,23637501,23762909,23775279,23934712,24083894,24190301,24413222,24732641,24788635,25219495,25247441,25363901,25612024,25649275,25710087,25781501,25880955,26012381,26018146,26110300,26116767,26196509,26246932,26356044,26471741,26540369,26700221,26707260,26926551,27047224,27183079,27189254,27290212,27380861,27493601,27536106,27606352,27637396,27696029,27897809,27935275,27957020,28033770,28159094,28254929,28366109,28487744,28587869,28813527,29050961,29094881,29160701,29284022,29445089,29488721,29714452,29746362,29771549,29901629,29902688,29966561,30074621,30263394,30401894,30428127,30547709,30611921,30718781,30779130,30974429,30995681,31051027,31057146,31059389,31292369,31332360,31355741,31419041,31566461,31633735,31814584,31881041,31943741,32048712,32052939,32333079,32731709,32831072,33044151,33118316,33162209,33345629,33421184,33477112,33522330,33548424,33556934,33589181,33640524,33730721,34032701,34045755,34132961,34188664,34193021,34452449,34571729,34750109,34789661,34802822,34955319,35026301,35144189,35248905,35261789,35287351,35302687,35373304,35612861,35671121,35748689,35757152,35791407,35883412,36019169,36027850,36054801,36096161,36249761,36257815,36315472,36383741,36429627,36563092,36593489,36654374,36726461,36764381,36807734,36877949,36934956,37029112,37160609,37168780,37273169,37313419,37501624,37598832,37661751,37739069,37741977,37794641,37960482,37997789,38037895,38181629,38291549,38437661,38462247,38674001,38675067,38832970,38890961,39134732,39267869,39338275,39607396,39641249,39794967,39860344,39938600,39997191,40063649,40226796,40307921,40854906,40857115,41184509,41192534,41252381,41303201,41337041,41341574,41613475,41657751,41840801,41936294,42089981,42106529,42189327,42298686,42301735,42304481,42447544,42501281,42550301,42844555,42923729,42962596,43020449,43036541,43118822,43181009,43233420,43260989,43324829,43509378,43515581,43799549,43987421,44018621,44065361,44089912,44292134,44296612,44358610,44488479,44528801,44602536,44842887,44864081,44897919,44930925,44954849,44985041,45020774,45135521,45165521,45191050,45315041,45611681,45645474,45714749,45745814,46094141,46115648,46137569,46224209,46367969,46467254,46496669,46525181,46567889,46599564,46754822,46836701,47116541,47130449,47199869,47205930,47213729,47282909,47311880,47406929,47489249,47502941,47625235,47666621,47753487,47926320,47941396,48065464,48110801,48215995,48271012,48336221,48399967,48624509,48689489,48883229,49028538,49049681,49151441,49175894,49578209,49586596,49601151,49861661,49936170,49947089,49983581,50116769,50177853,50260961,50352992,50380241,50432410,50439581,50545889,50592929,50733281,50754319,50762082,50768189,50791421,50837789,50999222,51010529,51121408,51181469,51224596,51271901,51277574,51339389,51375115,51413466,51417761,51573329,51584381,51606461,51716381,51790264,51880104,51944609,51970934,52062749,52087791,52264529,52359101,52411361,52484189,52529812,52577249,52712679,52720721,52773955,52822241,52882769,52945755,52962475,52973021,53032829,53076842,53122001,53141729,53222439,53225865,53230332,53265248,53375969,53462621,53586641,53718689,53858429,53881435,53914839,53917110,54004195,54023741,54073647,54132509,54154852,54168509,54229260,54320081,54339850,54408161,54425681,54478049,54530129,54641981,54655015,54710141,54919841,54994109,55018721,55035089,55036024,55059581,55108349,55205021,55236989,55276769,55394909,55397679,55768289,55772692,55783121,55812689,55834781,55878749,55906760,55915169,56073041,56087201,56178461,56295761,56406295,56456822,56475472,56497121,56516861,56562641,56601569,56647116,56710301,56773181,56774256,56829089,56866001,56915727,56968215,56986961,57028541,57063869,57145181,57150282,57162401,57189895,57192499,57230561,57264209,57330641,57383332,57433469,57481169,57507389,57511584,57589949,57605201,57660509,57771399,57792891,57844544,57853469,57859194,57904289,57908861,57945149,57949649,58029281,58038712,58093661,58127261,58139729,58205009,58224989,58240829,58251235,58264047,58340669,58344401,58365117,58377629,58395809,58399421,58459601,58520801,58530749,58653521,58671329,58674269,58683041,58688849,58725355,58731389,58747901,58766801,58833569,58837574,58862561,58883549,58890401,58925729,58978769,58986449,58995869,59008721,59054621,59064029,59073149,59080529,59094689,59156381,59170589,59177681,59181341,59183441,59188061,59191709,59195069,59198141,59210909,59212541,59212961,59213009,59490614,59626132,59923404,60431050,60518892,60766096,60901396,61043222,61236687,61299974,61343607,61552911,61650138,61915527,61939334,62009275,62488996,62516839,62890491,62895105,63145786,63328746,63333254,63364125,63534906,63554970,63650715,63871038,63961094,64240504,64604834,64657722,64700532,64709871,64805034,65075112,65207820,65293551,65586018,66068822,66069112,66228008,66666607,66753784,67088112,67443506,67493587,67588400,67665784,67687554,67791968,67894096,68036050,68361858,68399335,68495222,68627874,68636887,68767396,68775475,68846367,69092822,69142810,69193292,69330854,69486712,69555008,69566959,69901482,70009252,70041494,70470426,70864022,71076664,71580439,71679494,72046300,72171412,72270567,72372854,72436984,72506170,72517260,72593755,72602822,72889912,73060311,73080595,73209501,73277275,73400596,74327751,74411130,74473144,74506509,74534294,74871159,74875125,75094454,75098007,75474126,75752455,75824060,75827704,76036950,76124007,76265964,76278712,76380858,76507039,76534022,76618479,76862774,76954744,77100955,77148850,77351744,77841254,77855224,78172551,78249384,78529767,78650619,79032345,79366795,79371872,79477396,79866800,79961247,80055367,80474695,80602454,80978596,81105739,81106080,81491607,81502795,81638534,81643260,81699850,81703570,82001151,82079202,82186435,82342264,82355222,82472596,82484155,82530570,82558694,82971372,83064854,83216050,83290191,83782287,84165734,84301168,84433359,84511231,84561734,85245112,85306167,85679167,85795735,85813551,85995679,86026214,86455560,86510215,86513152,86574087,87007404,87020712,87086144,87112506,87205012,87552614,87587127,87696714,87915064,87932730,88030557,88032608,88084132,88443519,88581112,88698225,88873807,89293356,89309770,89543572,89822348,89850150,89863814,90902946,90941222,90988872,90995812,91212475,91244340,91285396,91384022,91541114,92219264,92292620,92521146,92578620,92635047,92728996,92921191,92948294,93016852,93173691,93794912,94086125,94132694,94216214,94382822,94427799,94611440,94804167,94838814,94961414,94979612,95221735,95238010,95240154,95265759,95476555,95594596,95649784,95840160,95869624,95879572,95900751,96309112,96419410,96569634,96579091,96658215,96787306,96812822,97175631,97262505,97300132,97314115,97327296,97361174,97378135,97711999,97803354,97898301,97971912,98039820,98044284,98256379,98623722,98750528,98846839,98847560,98904447,98980986,99036684,99269655,99316591,99381370,99653751,99851222,99859260,...,428584748078152893222160209598652146805328406114697217659072727417895750314365232454480810114294477679735846293956357583356862506434476775347235304386536401697052618471769270382225423636721321126871748868058084393949122412645114973361649348089440462028293859155195757759030221009610022225719488525618863277786881353352197548725741632443916447855282617352553395367228035083548203878015026841139686404694331496851552713082864027124799559311110152003156150656845653081718597508644158172661376529320384432049773912623102480810167444999489968954853588127683825354556754770834607316103218317796315831598972087999374637897980803749421269900478510852545794593483873157289285939012505764820502864976871643024938031946212334925992070404418450980404333003717783765736946002960021702998662782817461293831016068657537788240370955466470394402076298140858021849918773221618403450657153483673335936568362242985186797603444253955600213322020212197640891749003439857752756649609600215278471495599780345578893987044295359355687607241471328973165896106692988013079296933292553008329157941545666424996759018096378056138951808360129635771052580302720820563450714428496113548874939177483795165526750319781999715723231849684079332159609630219666255827669187086806148851946178347795026895296710780395704536255100722378280862722190199643715952027046320247162029760156026109496886121603845182285733727184318999528946577654970062842296501144112588597676028226761308502889753691117669947865158866763227214856348741634045294146328347485689952455405624891599797600117611860196729686308909243990972304629640674216068483398126845769432545757714678342274091058491367520425581409512420924702075160656193771700727412162140721912274891343205607309163895933401402475580529994217320879906391694097727220240718043097207506441545915738774522989949101821373758366394311199572404799289971848766692841184721889758717001379700103263992114349250603136539214064627151960410392039168958101989934733988579122079520811715390091431972023791272164229462820325095508731441697012889822855059673695347171672042041017590251232542009308136479159640069165201997924527322936827755113268544428782564747544306127078515224042558967119199575997543775062094726902227538535710977004261825487276931404062719824569061437108883957903030528817742585146221270836643342889272812969074716260554497117794949145053485715662547784698604595236751504652548832210092443285332917585264654262494995189797282776878645310370772649}
15391  1520063665975095204961511558252015075969631961524575399435176755: {15391,230745,246128,276894,507441,753473,999245,1076390,1183721,1199094,1291668,1336233,1537700,1691030,1845240,1968256,2029236,2075895,2214288,2473121,2491074,2713233,2839565,3013108,3210449,3394781,3407478,3533030,3793673,4084833,4239636,4304440,4631961,4842495,4945598,5131865,5165328,5234009,5589245,5687801,5745014,5764875,5786573,5810994,6046265,6149200,6158238,6420062,6707094,6707513,6788678,6917850,7065140,7255518,7379040,7415165,7610561,7870976,8125430,8172052,8301420,8325965,8478168,8854848,8898198,9367241,9537939,9689465,9750516,9792662,9961704,9991158,10279049,10324641,10379873,10384036,10861833,10872230,11206917,11206961,11285681,11374118,11398161,11442473,11488532,11627358,11666001,11674360,11749673,11942849,12002918,12079361,12291521,12523793,12735201,13046676,13046681,13133655,13322932,13782569,14009232,14066841,14128361,14623672,14661245,14731169,14828390,15111065,15426233,15712073,15760386,15852254,15879581,16101281,16248740,16341976,16346390,16451631,16734473,17165873,17256230,17308841,17434673,17572984,17593494,17689373,17777438,17788673,17794068,18133278,18309929,18384723,18732038,18816033,19032760,19102793,19339401,19470449,19498488,19585275,19615668,19769607,19884062,20058701,20122833,20313041,20707476,20765368,20890960,20942873,21219713,21241961,21371414,21411855,21475721,21636173,21886575,21935799,21943281,22163956,22311041,22410521,22410998,22720233,22839312,23001830,23229821,23237121,23303489,23345680,23361039,23502330,23589245,23666321,23882582,23906390,23909534,24110753,24155558,24782601,24926776,25069152,25149401,25191773,25396340,25412390,25694226,25786742,26089958,26164852,26263890,26589662,26618873,26739521,26986241,27144221,27284081,27341121,27415815,27561542,27602196,27604838,27780113,27837761,27880215,27999245,28014816,28042623,28202796,28307094,28358481,28612281,28687668,28727188,28930409,29018630,29243536,29292473,29305049,29354871,29738896,29881433,29890601,29915081,29918390,29935862,30261209,30475608,30494868,30717878,30951641,31287508,31516668,31609673,31641033,31700372,31776038,32015030,32242001,32366813,32400473,32637875,32761073,32808665,32813921,32898978,32945055,33119678,33384075,33393441,33456258,33599094,33651089,33809030,33945494,34069601,34112765,34280116,34285059,34507940,34546745,34594481,34822356,34877801,34887081,34946275,35141392,35368073,35374118,35609680,35902068,35947934,36125841,36428582,36615062,36619833,36714808,37141601,37143065,37333094,37378360,37709321,37896473,37934849,37972118,38237789,38254313,38418036,38578673,38788193,39027219,39165450,39307721,39370398,39534066,39661816,39768230,40060890,40097801,40133489,40230353,40351192,40570836,40614173,40783881,40935318,41038840,41276702,41304159,41397895,41409528,41456094,41543198,41743238,41776480,41846390,41935530,42050655,42057281,42132689,42238641,42478358,42731616,42735830,42737252,43110772,43145558,43926033,44058868,44216630,44518961,44571678,44619543,44696440,44731232,44842694,44854032,44854265,45098573,45316481,45394340,45395091,45578633,45602841,45703865,45724061,45895841,45936374,46168695,46286390,46460975,46585719,46607092,46640681,46748861,46877030,46897241,46998540,47036873,47053718,47151518,47424221,47721876,47775929,48073068,48107273,48156521,48215198,48572836,48918415,49246608,49390541,49416038,49462769,49509245,49677474,49825430,49923250,49959113,50131776,50215668,50283495,50322636,50335401,50460786,50519261,50584094,50613976,50783873,50901521,51282996,51462134,51566756,51671393,51868793,52204233,52394801,52440614,52848641,53059430,53059956,53170334,53221961,53329588,53472038,53635728,53703245,53825118,54041775,54127862,54227321,54378701,54473208,54844638,54960329,54981561,55112390,55211601,55370765,55402434,55543668,55552958,55753170,55963742,56210441,56252436,56398248,56564678,56815949,56940723,57369113,57644560,57704009,57810473,57949507,58012504,58249455,58396193,58409561,58602422,58625078,58702098,58989398,59139850,59207561,59317972,59407334,59411094,59470048,59790516,59853662,59863892,59907900,59926745,59972321,60002678,60081830,60338765,60340194,60607481,60780449,60800873,60860632,61282359,61788801,61838558,61983245,62012361,62059358,62066381,62132752,62192081,62379881,62544038,62904441,62941240,62960102,63223481,63382361,63448029,63671316,63722621,63778673,63815774,63889433,63901760,64030745,64186313,64443894,64678233,64725158,64737830,64850130,65164001,65264067,65371384,65430761,65662265,65720513,66086729,66134868,66349241,66438201,66444918,66537915,66581560,66743873,66903804,67020353,67293374,67335401,67531161,67682776,67693565,67786575,67804841,67883414,68112029,68123321,68130278,68468211,68551288,68618721,68795030,69173472,69284849,69450388,69700881,69715865,69883450,69899346,70123841,70132233,70283572,70594340,70808895,70963252,70967820,70973776,71192561,71551673,71729165,71845673,71886452,71889480,71912094,71991158,72049481,72098196,72112049,72305680,72316094,72406518,72548390,72602801,73542807,73543478,73763522,73763841,73781681,73863572,73968182,74379894,74532665,74589473,74904255,75017921,75104798,75529488,75648615,75699008,75887636,75957620,76126745,76143123,76169798,76200376,76320662,76465574,76498833,76682112,76836894,76916361,76925681,77028532,77057188,77120199,77134973,77145592,77508473,77566238,77685396,77755049,77820156,77956401,78111245,78353981,78654161,78794718,78828902,79302998,79590173,79600862,79615263,79737113,79845498,79897872,80139581,80256374,80300630,80570849,80691856,80875665,81232278,81343890,81447881,81509775,81648916,81791476,81859661,82070548,82200184,82554036,82586390,82743389,82785010,83442230,83659038,83693561,83748041,83853988,83860140,83885921,84254342,84270473,84438328,84485500,84582230,84685233,84713208,84739960,84755201,84867620,84970674,85161384,85256873,85486769,85494134,85717361,85725423,85869638,85959245,86074998,86210296,86267376,86279828,86406712,86491615,86766816,86788791,86858390,86943760,87058068,87140573,87448024,87511565,88256361,88845830,88942694,88995449,89235921,89387222,89400518,89409398,89439198,89440001,89450816,89885106,90057875,90067934,90133661,90214265,90214334,90250072,90546230,90646575,90778338,90830273,91112390,91149144,91352094,91503832,91564833,91750745,91795156,91949961,92025494,92464598,92475207,92651678,92909001,93091430,93201976,93528209,93733494,93782198,93840473,93960568,94061318,94097009,94274921,94718679,94757873,94780075,94784630,94993119,94999881,95023721,95069153,95302359,95332455,95348390,95542358,95671241,95702873,95806557,95941641,96144761,96193430,96269201,96360756,96520073,96689680,96907251,96986583,97050798,97207551,97319030,97361438,97379993,97413748,97612668,97703969,97797341,97811730,97903913,98379027,98388173,98529473,98912582,98960273,99089609,99093281,99103233,99103668,99214840,99342012,99346745,99573881,99828212,99833500,...,571446330770870524296213612798202862407104541486262956878763636557194333752486976605974413485725970239647795058608476777809150008579302367129647072515381868929403491295692360509633898182295094835828998490744112525265496550193486631148865797452587282704391812206927677012040294679480029634292651367491817703715841804469596731634322176591888597140376823136737860489637380111397605170686702454852915206259108662468736950777152036166399412414813536004208200875794204108958130011525544230215168705760512576066365216830803307746889926665986625273138117503578433806075673027779476421470957757061754442131962783999166183863974404999228359867304681136727726124645164209719047918683341019760670486635828857366584042594949779901322760539224601307205777338290378354315928003946695603998217043756615058441354758210050384320494607288627192536101730854477362466558364295491204600876204644897781248757816323980249063471259005274133617762693616263521188998671253143670342199479466953704628660799707127438525316059060479140916809655295105297554528142257317350772395911056737344438877255394221899995678690795170741518602411146839514361403440403627760751267619237994818065166585569978393554035667093042666287630975799578772442879479506959555007770225582782408198469261571130393369193728947707194272715006800963171041150296253599524954602702728426996216039680208034812662514828805126909714311636245758666038595436873293417123062001525483451463568037635681744670519671588156893263820211822350969619808464988845393725528437796647586603273874166522133063466823482480262306248411878991987963072839520898954757977864169127692576727676952904456365454744655156693900775212683227899602766880874925028934303216216187629216366521790940809745551861244535203300774039992289761173208522258796969626987624057462943341922061220985032697319932135761831677821859081599429873065719962465022257121579629186344956001839600137685322819132334137515385618752836202613880522718891944135986579645318105496106027748953853455242629365055029552305950427100127344975255596017186430473412898260462895562722721356787001643389345744181972212853425553602663899369763915770340151024725905043419663392408169438020298723411956158932767996725033416126302536303384714281302672349100649702575205416959766092081916145178610537374038423656780194961694448857790519030417292099621680739329490393265526737980954216730379598139460315668672870065109613456591047110556780352872349993326919729710369171527080494363532}
15392  1526853898081345979076212192234652542826838592347790036870880434: {215362,292087,307660,369192,399802,415341,476191,522682,660007,676588,890938,935191,952258,1118287,1209727,1258618,1574767,1598792,1614585,1722224,1781644,1798641,1809058,1870138,1922125,1937502,2175298,2301391,2306550,2460320,2536545,2540962,2705648,2767860,2933407,2952384,3023407,3043854,3088378,3149122,3321432,3452602,3617644,3736611,3766385,3876802,3997858,4097791,4519662,4541818,4543304,4783162,4964002,4985191,5111217,5265082,5299545,5380550,5446444,5652848,5689927,5806018,5986042,6128047,6175948,6359454,6456660,6887104,6912127,6943738,7301818,7418397,7599778,7686500,7747992,7776487,8034391,8135098,8210984,8462791,8550562,8617521,8716491,8831425,8942792,9059527,9223800,9237357,9260962,9438202,9556282,9630093,9674024,9737191,9838720,10060641,10145722,10183017,10215065,10376775,10410247,10597710,10792258,10828567,10883277,11068560,11202682,11304224,11806464,11864264,12072727,12188145,12258078,12452130,12483847,12603898,12717252,12795713,12952762,12980045,13000688,13126978,13243042,13282272,13321544,13347297,13764538,13766188,13938082,14271391,14299229,14360665,14482444,14592950,14625774,14688993,14861218,14942556,14976322,14986737,15072391,15197548,15311287,15376361,15493498,15503144,15550882,15554668,15576054,16238242,16308345,16652791,16653665,16695202,16866298,16980268,17061177,17094202,17232798,17395568,17441037,17511540,17549242,17664607,17946562,18004377,18169697,18279590,18286498,18587791,18625858,18678976,18755788,18964642,19246522,19349191,19415458,19570014,19809082,19921402,19953127,19984398,20310925,20314018,20328247,20427470,20442829,20477791,20701567,21013848,21487162,21810929,21935508,21966230,21987778,22154362,22242585,22265338,22487098,22831327,22903687,23261242,23264407,23457992,23551687,23640579,23725424,23778381,23790950,23980447,24087202,24142138,24177704,24373110,24416578,24477391,24512964,24519585,24800122,24909562,25088044,25390927,25588094,25728322,25785868,25884345,25956710,25997984,26021534,26113700,26154224,26223391,26359476,26380738,26390241,26666157,26691102,26704207,26830444,26868538,26909191,27193018,27199917,27384967,27516922,27609968,27704945,27722647,27894082,28001698,28098057,28324162,28392607,28549140,29182100,29247732,29252791,29257708,29341498,29423502,29826093,30036007,30087418,30293644,30452416,30459202,30618298,30748718,30982828,31000447,31061214,31064167,31094722,31148052,31158470,31336440,31358842,31675258,31745425,31948687,32057121,32125457,32261167,32633767,32706065,32757391,33043468,33187807,33245934,33425536,33616497,33874042,33977791,34158367,34258968,34393402,34497082,34502745,34704089,34859458,35014522,35018520,35169391,35253495,35286967,35307293,35754391,35823873,35859585,35864301,35908985,36198562,36233337,36454828,36554420,36710722,36802928,36812962,36902791,37119298,37173620,37185391,37353088,37354087,37390164,37603728,37633807,37742792,37811308,38094510,38118585,38149708,38186938,38250224,38541339,38680113,38692858,38843191,39109385,39134937,39139828,39247278,39274327,39395835,39625465,39750082,39850402,39884493,40070287,40279807,40634144,40650658,40659824,41055247,41248162,41342313,41347522,41360887,41397178,41403294,41407257,41703233,41864527,41942338,42022224,42113647,42188044,42212791,42304194,42436258,42460641,42557527,42850145,42879418,43031502,43043887,43090782,43125058,43134925,43188391,43527945,43712962,43865304,43926740,44097677,44152378,44287229,44347258,44512100,44524588,44608344,44735167,44784802,44798792,44877585,44903793,45713412,45742302,45752482,45800698,45893510,46076817,46246807,46378042,46429808,46474042,46516108,46522018,46675567,46722950,46761658,46931262,47048698,47138887,47222191,47275002,47305207,47429191,47511487,47525818,47550558,47664057,47869424,48022545,48167788,48380602,48826444,48905047,49348467,49400191,49465282,49577270,49661767,49679517,49772791,49883167,50029327,50184387,50398641,50425327,50438990,50494882,50713545,50727802,50760941,50918241,51191191,51224048,51298550,51420174,51563002,51594247,51761910,51922207,52024762,52036292,52083487,52220600,52233534,52274647,52393018,52493864,52587487,52712088,52943482,53061177,53080738,53162047,53253053,53396191,53400442,53414520,53421565,53597287,53853102,53888465,53921901,54043687,54094448,54152407,54366158,54378508,54497791,54580424,54642873,54678727,54755191,54761722,54922593,54931087,54987202,55054567,55072212,55073585,55079047,55212704,55274792,55392058,55414207,55437607,55553527,55599391,55795618,55870550,55914040,55934191,55999641,56067540,56190367,56318188,56496007,56509858,56594287,56732218,56742925,56841391,56958177,56975488,57023191,57175738,57199961,57282391,57397807,57493927,57602791,57627054,57678391,57722887,57866527,57921967,57962791,58101922,58157191,58181887,58189762,58194127,58242367,58258865,58321402,58357927,58413007,58476727,58547791,58568044,58670407,58688191,58748175,58796767,58890178,58906927,58940047,58977442,58995127,59055597,59096647,59172247,59219767,59222429,59225167,59227687,59301099,59428904,59492724,59543098,59652345,59803258,59805376,59933122,59982377,60091335,60149242,60526788,60716045,60803788,60856254,61095418,61223842,61402977,61437562,61558260,61915053,61948858,61991362,62102054,62114292,62118778,62184141,62314797,62584738,62614857,62664720,62711482,62769585,62838082,62903295,63132922,63267470,63629168,63717537,63762082,63887482,64097424,64103745,64105878,64458445,64666158,64718337,65463418,65662144,66088302,66236632,66324418,66324945,66661985,66675329,66691258,66842368,66857517,66954224,67044660,67096848,67113868,67178362,67264041,67281048,67461442,67502393,68065402,68091510,68265922,68377328,68386042,68904561,68904898,69143458,69429585,69500218,69579322,69605644,69910638,70052602,70288378,70315545,70497810,70523578,70574702,70580577,70605374,70727277,70746608,71225722,71342242,71497378,71514304,71582814,71766824,71925161,72038338,72055700,72109602,72192322,72322797,72499522,72515630,72630944,72767482,72859254,73126184,73186978,73308748,73452922,73528762,73615468,73755898,73869912,73883537,74058224,74124057,74147465,74321218,74337560,74516211,74546338,74626838,74738145,74829865,74884875,75003248,75197664,75323502,75434009,75478138,75483954,75589282,75605873,75691179,75876141,75920964,75995578,76047169,76075790,76363258,76517021,76583098,76875322,76924494,77193201,77348002,77350134,77665940,77781922,78269464,78535738,78660921,78676550,78968813,79214792,79282498,79589145,79589934,79720688,79755501,79877200,79994382,80065853,80127298,80208057,80453592,80615842,80737677,81116321,81191793,81551729,81709812,81714230,82215497,82266957,82369018,82385068,82504762,82606402,82668585,82674082,82683148,83103651,83226950,83315502,83329437,83629755,83681602,83872588,83945613,84179962,84213058,84378654,84597372,84603470,84608962,84847017,84895088,85002562,85100602,85689110,85847458,85925192,86040898,86073082,86237644,86362018,86466840,86521978,86649658,86812985,87018756,87031162,87599098,87854465,87903633,87937617,87974842,88037242,88053147,88130722,88179824,88242925,88484097,88584268,88593224,88704065,88709775,88717220,88976958,89057602,89111001,89116641,89205072,89685774,89728162,89780493,89795838,89858065,89861850,89909698,89970082,90004017,90041548,90122745,90271042,90331042,90382100,90510291,90630082,91223362,91290948,91429498,91491628,92188282,92231296,92275138,92329465,92448418,92735938,92757837,92934508,92993338,93050362,93089037,93135778,93199128,93509644,93673402,93816057,94233082,94260898,94399738,94411860,94427458,94440153,94565818,94623760,94813858,94859545,94947025,94978498,95005882,95250470,95333242,95506974,95723661,95759069,95852237,95852640,95882792,96130928,96221602,96285665,96321485,96431990,96542024,96665841,96672442,96799934,97087737,97106745,97249018,97275195,97378978,97766458,98057076,98099362,98302882,98351788,99156418,99173192,99202302,99329549,99667377,99723322,99872340,99894178,99967162,...,857169496156305786444320419197304293610656812229394435318145454835791500628730464908961620228588955359471692587912715166713725012868953550694470608773072803394105236943538540764450847273442642253743497736116168787898244825290229946723298696178880924056587718310391515518060442019220044451438977051237726555573762706704395097451483264887832895710565234705106790734456070167096407756030053682279372809388662993703105426165728054249599118622220304006312301313691306163437195017288316345322753058640768864099547825246204961620334889998979937909707176255367650709113509541669214632206436635592631663197944175998749275795961607498842539800957021705091589186967746314578571878025011529641005729953743286049876063892424669851984140808836901960808666007435567531473892005920043405997325565634922587662032137315075576480741910932940788804152596281716043699837546443236806901314306967346671873136724485970373595206888507911200426644040424395281783498006879715505513299219200430556942991199560691157787974088590718711375214482942657946331792213385976026158593866585106016658315883091332849993518036192756112277903616720259271542105160605441641126901428856992227097749878354967590331053500639563999431446463699368158664319219260439332511655338374173612297703892356695590053790593421560791409072510201444756561725444380399287431904054092640494324059520312052218993772243207690364571467454368637999057893155309940125684593002288225177195352056453522617005779507382235339895730317733526454429712697483268090588292656694971379904910811249783199595200235223720393459372617818487981944609259281348432136966796253691538865091515429356684548182116982735040851162819024841849404150321312387543401454824324281443824549782686411214618327791866802804951161059988434641759812783388195454440481436086194415012883091831477549045979898203642747516732788622399144809598579943697533385682369443779517434002759400206527984228698501206273078428129254303920820784078337916203979869467977158244159041623430780182863944047582544328458925640650191017462883394025779645710119347390694343344084082035180502465084018616272958319280138330403995849054645873655510226537088857565129495088612254157030448085117934238399151995087550124189453804455077071421954008523650974553862808125439649138122874217767915806061057635485170292442541673286685778545625938149432521108994235589898290106971431325095569397209190473503009305097664420184886570665835170529308524989990379594565553757290620741545298}
15393  1533674221854897896830077853191274213823676088327515673910880533: {30782,323043,384575,461490,492256,553788,599703,784023,845735,1014882,1336407,1398943,1428387,1506946,1887927,1998490,2152780,2227055,2367442,2398188,2583336,2672466,2713587,2805207,2906253,3075400,3262947,3382060,3459825,3690480,3794167,3811443,3885827,3936512,3975391,4058472,4151790,4428576,4438751,4522055,4565781,4632567,4723683,4946242,4982148,5178903,5426466,5679130,5815203,5996787,6026216,6185647,6420898,6779493,6789562,6808055,6812727,6814956,7066060,7174743,7184611,7446003,7587346,7719935,7824943,7897623,8070825,8169666,8464771,8479272,8608880,8709027,8936807,8979063,9263922,9539181,9608125,9684990,9891196,10263730,10330656,10381231,10415607,10468018,10952727,11178490,11375602,11399667,11490028,11529750,11573146,11621988,11656351,12092530,12147967,12202647,12247871,12298400,12316476,12525427,12825843,12840124,13337623,13414188,13415026,13565251,13577356,13835700,13891443,13967987,14130280,14157303,14334423,14455247,14511036,14526343,14733091,14758080,14830330,15218583,15221122,15741952,15896565,16188387,16250860,16344104,16602840,16651930,16804023,16956336,17207735,17709696,17747767,17796396,18103055,18387117,18678195,18734482,18905847,18979367,18996935,19075878,19378930,19429143,19443335,19485811,19501032,19585324,19690467,19864563,19923408,19982316,20420227,20455903,20525743,20558098,20646807,20649282,20759746,20768072,20907123,20971711,21155491,21225335,21639007,21723666,21744460,21889425,21938661,22291827,22413834,22413922,22464483,22571362,22748236,22796322,22884946,22977064,23129231,23240247,23254716,23326323,23332002,23348720,23364081,23444735,23499346,23885698,24005836,24158722,24357363,24362983,24583042,24966887,24983267,25042803,25047586,25299447,25470402,25641303,25849197,26093352,26093362,26267310,26323863,26645864,26919843,27419385,27429747,27540487,27565138,27774311,27938787,28018464,28133682,28155511,28256722,28302643,28446963,28869783,29123187,29182883,29247344,29320223,29322490,29355021,29462338,29656780,29713623,29882103,29885347,29976597,30222130,30471027,30641205,30852466,31360055,31424146,31520772,31704508,31759162,32202562,32230743,32232335,32244823,32497480,32642125,32683952,32692780,32903262,32949345,32981667,33024943,33231543,33244727,33398007,33468946,33538055,33730647,33795491,34331746,34512460,34599007,34617682,34869346,34891863,35145968,35186988,35378746,35469887,35554876,35577346,35588136,35686425,35763247,36130803,36213207,36266556,36477625,36559665,36572135,36619858,36624867,36769446,37200183,37364343,37464076,37562243,37632066,37867055,37901431,38065520,38104183,38205586,38382141,38569991,38592483,38678802,38728535,38826887,38935065,38940898,38996976,39032301,39170550,39198943,39231336,39539214,39571107,39768124,40036653,40103047,40117402,40245666,40302807,40626082,40789527,41275383,41304335,41414952,41530736,41776691,41781920,41841123,41885746,42002547,42390851,42439426,42483922,42486243,42742828,42823710,42941183,42951442,43272346,43773150,43871598,43886562,44012247,44135253,44327912,44622082,44654671,44705327,44821042,44821996,45131127,45392311,45440466,45568535,45678624,45688803,45693025,45927447,45932131,46003660,46123077,46459642,46467025,46474242,46591821,46606978,46642083,46677191,46691360,46722078,46737705,47004660,47038263,47178490,47264135,47332642,47430487,47512887,47687135,47757871,47765164,47812780,47819068,47954503,47999183,48221506,48311116,48365443,48721987,48924785,49565202,49853552,49868901,50138304,50298802,50383546,50792680,50811063,50824780,51388452,51573484,51590103,51745623,51875587,51960407,52000291,52179916,52248727,52289187,52329704,52521783,52527780,52735055,53179324,53237746,53479042,53972482,54288442,54297843,54568162,54682242,54764551,54831630,54908425,55066083,55123084,55204392,55209676,55219443,55560226,55640125,55655735,55675522,55678947,55694687,55760430,55998490,56029632,56085246,56405592,56614188,56716962,56823391,57141765,57224562,57280407,57375336,57454376,57457247,57860818,57870167,57957053,58037260,58039287,58145135,58459991,58487072,58584946,58610098,58709742,58870917,59477792,59540963,59625123,59762866,59775603,59781202,59830162,59836780,59871724,60156343,60209735,60496871,60522418,60951216,60975987,60989736,61033055,61435756,61501631,61872243,61903282,62021283,62095767,62104941,62575016,62795971,62913507,63033336,63219346,63282066,63400744,63456291,63552076,63654387,63936707,63985411,64030060,64319127,64484002,64547253,64636173,64687587,64733626,64800946,65045365,65275750,65522146,65569443,65617330,65627842,65797956,65890110,66228567,66239356,66520887,66768150,66786882,66912516,67177203,67198188,67302178,67618060,67890988,67948327,67973135,68139202,68195647,68225530,68485781,68497651,68560232,68570118,68613453,68628723,68701047,68748863,68840265,69015880,69084311,69093490,69188962,69312943,69567063,69644712,69711063,69755602,69774162,69783027,69892550,70084425,70142487,70282784,70396893,70397735,70573047,70736146,70748236,70882691,70912503,71219360,71288727,71325837,71434567,71627023,71804136,71895868,72251682,72570903,72797747,72857164,73210055,73230124,73239666,73429616,74197923,74283202,74286130,74365905,74666188,74756720,75128423,75184543,75418642,75658485,75742323,75792946,75869698,75944236,76004735,76091703,76475578,76508626,76800547,76836072,76947825,77130261,77157346,77327263,77344503,77519071,77576386,77642865,78037143,78054438,78261031,78330900,78350301,78589527,78615442,78740796,79068132,79323632,79415223,79536460,79621107,80100663,80121780,80195602,80266978,80426291,80460706,80702384,80779653,80902463,81119183,81141672,81144307,81228346,81549237,81567762,81870636,82077680,82142583,82325507,82480803,82553404,82608318,82795790,82819056,82912188,83086396,83088087,83175107,83486476,83552960,83692780,83693427,83805825,83871060,83892335,83897443,84043247,84101310,84114562,84136663,84265378,84474271,84477282,84764787,84956716,85098327,85463232,85471660,85474504,85763607,86221544,86291116,86386343,86440581,86776543,87007055,87152883,87284643,87482103,87852066,87894847,88117736,88290991,88335267,88433260,88466163,88657543,89037922,89143356,89239086,89314647,89392880,89462464,89567767,89643043,89685388,89704887,89708064,89708530,89899683,90069625,90197146,90223863,90632962,90773447,90788680,90790182,91157266,91194503,91205682,91284381,91382243,91407730,91448122,91628983,91635935,91643127,91648751,91791682,91835763,91872748,91927171,92019335,92156343,92337390,92572780,92714567,92921950,92923287,92987043,93153081,93171438,93178167,93214184,93281362,93429887,93497722,93754060,93794482,93877107,93997080,94067223,94073746,94107436,94257123,94303036,94699383,94770991,94848442,94901205,95443752,95551858,95643123,95831223,96128051,96146136,96158817,96214546,96257327,96313042,96430396,96999237,97082425,97145672,97405187,97602211,97836830,98195127,98493216,98687107,98781082,98832076,98925538,99018490,99132453,99354948,99486627,99646871,99650860,99846500,99918226,...,1285754244234458679666480628795956440415985218344091652977218182253687250943095697363442430342883433039207538881869072750070587519303430326041705913159609205091157855415307811146676270910163963380615246604174253181847367237935344920084948044268321386084881577465587273277090663028830066677158465576856589833360644060056592646177224897331749343565847852057660186101684105250644611634045080523419059214082994490554658139248592081374398677933330456009468451970536959245155792525932474517984129587961153296149321737869307442430502334998469906864560764383051476063670264312503821948309654953388947494796916263998123913693942411248263809701435532557637383780451619471867857817037517294461508594930614929074814095838637004777976211213255352941212999011153351297210838008880065108995988348452383881493048205972613364721112866399411183206228894422574065549756319664855210351971460451020007809705086728955560392810332761866800639966060636592922675247010319573258269948828800645835414486799341036736681961132886078067062821724413986919497688320078964039237890799877659024987473824636999274990277054289134168416855425080388907313157740908162461690352143285488340646624817532451385496580250959345999147169695549052237996478828890658998767483007561260418446555838535043385080685890132341187113608765302167134842588166570598931147856081138960741486089280468078328490658364811535546857201181552956998586839732964910188526889503432337765793028084680283925508669261073353009843595476600289681644569046224902135882438985042457069857366216874674799392800352835580590189058926727731972916913888922022648205450194380537308297637273144035026822273175474102561276744228537262774106225481968581315102182236486422165736824674029616821927491687800204207426741589982651962639719175082293181660722154129291622519324637747216323568969847305464121275099182933598717214397869915546300078523554165669276151004139100309791976343047751809409617642193881455881231176117506874305969804201965737366238562435146170274295916071373816492688388460975286526194325091038669468565179021086041515016126123052770753697626027924409437478920207495605993773581968810483265339805633286347694242632918381235545672127676901357598727992631325186284180706682615607132931012785476461830794212188159473707184311326651873709091586453227755438663812509930028667818438907224148781663491353384847435160457146987643354095813785710254513957646496630277329855998752755793962787484985569391848330635935931112317947}
15394  1540524769590577665773817299871273858902276370618726416297451157: {46173,169213,261409,430724,584174,615320,692235,738384,799604,830682,952382,1045364,1320014,1353176,1522323,1635709,1781876,1870382,1904516,1999453,2236574,2260419,2419454,2517236,2542909,2690975,2997735,3149534,3197584,3229170,3444448,3532513,3551163,3563288,3597282,3618116,3740276,3844250,3875004,3890209,3979453,4008699,4227575,4350596,4424593,4602782,4613100,4690813,4779409,4920640,5073090,5081924,5272939,5411296,5535720,5866814,5904768,6046814,6087708,6176756,6227685,6298244,6623293,6642864,6905204,7235288,7419363,7473222,7490173,7532770,7753604,7995716,8139699,8195582,8349853,8518695,8832575,9039324,9083636,9086608,9456673,9541309,9566324,9625873,9631347,9928004,9963409,9970382,10184343,10222434,10530164,10599090,10761100,10892888,11135713,11302033,11305696,11379854,11381019,11612036,11972084,12254499,12256094,12351896,12363995,12458209,12718908,12913320,13681309,13774208,13824254,13887476,13895883,14004733,14166013,14301091,14362535,14527485,14603636,14836794,15199556,15373000,15395595,15495984,15552974,15604573,15702027,16050155,16068782,16270196,16393693,16421968,16767735,16863709,16925582,16971695,17063403,17101124,17235042,17253409,17294625,17359719,17432982,17662850,17885584,18119054,18138795,18172063,18411709,18447600,18474714,18521924,18876404,19098913,19112564,19260186,19348048,19474382,19677440,19930909,20104931,20121282,20122539,20291444,20313575,20366034,20430130,20445491,20605153,20679709,20753550,20754193,20820494,20977213,21195420,21495073,21584516,21657134,21766554,22137120,22228753,22245495,22405364,22520209,22608448,22831683,23243809,23315131,23612928,23728528,24145454,24159707,24376290,24481655,24516156,24904260,24967694,24977895,25207796,25301533,25434504,25591426,25719709,25905524,25960090,25997053,26001376,26253956,26479633,26486084,26564544,26643088,26694594,26753809,27094909,27180575,27501853,27529076,27532376,27704353,27876164,28101723,28435295,28507873,28542782,28598458,28613817,28721330,28964888,29068395,29103709,29185900,29251548,29377986,29497693,29722436,29758909,29824033,29885112,29952644,29973474,30007295,30144782,30395096,30622574,30664093,30728209,30752722,30837147,30973923,30986996,31006288,31101764,31109336,31111393,31139619,31152108,31302013,31618273,31995409,32476484,32585499,32616690,33305582,33307330,33390404,33620751,33620883,33732596,33857043,33960536,34122354,34188404,34194483,34327419,34465596,34681873,34791136,34800673,34882074,34998003,35023080,35098484,35249019,35329214,35828547,35893124,36008754,36203809,36238083,36261373,36339394,36559180,36572996,36776209,36874563,37070975,37175582,37251716,37357952,37511576,37571379,37929284,38205603,38493044,38698382,38722909,38786923,38830916,38939773,39140028,39140043,39400965,39476893,39618164,39630635,39842804,39906254,39968796,40111933,40621850,40628036,40656494,40839709,40854940,40865975,40885658,40891153,40955582,41300113,41347707,41350909,41403134,41553373,41854909,42027696,42200523,42302353,42385083,42400993,42597409,42716267,42974324,43083409,43140575,43621858,43751713,43871016,43932460,43975556,43983735,44033809,44193507,44308724,44443595,44485170,44530676,44910013,44974196,45000733,45181309,45333195,45583393,45662654,45788491,45807374,46110433,46278699,46522484,46528814,46541713,46830095,46915984,47103374,47133409,47136219,47281158,47450848,47556762,47581900,47638743,47954209,47960894,48174404,48284276,48303843,48314173,48355408,48511633,48746209,48746220,48794471,48833156,48954782,49025928,49039170,49285639,49321309,49354893,49600244,49710155,49819124,50176088,50203419,50272579,50279773,50775709,50781854,50810593,51176188,51456644,51497619,51571736,51593053,51626209,51768690,51790909,51913420,51926523,51986173,51995968,52043068,52227400,52242493,52304019,52308448,52400353,52446782,52718952,52741309,52761476,52780482,52863133,53068119,53162653,53309713,53332314,53366019,53382204,53408414,53428535,53512573,53655313,53660888,53737076,53818382,53907709,54288733,54386036,54399834,54447709,54753139,54769934,54808573,54929787,55033844,55057693,55154169,55219936,55323409,55409890,55445294,55475651,55671709,55788164,55806493,55872913,56003396,56003809,56025373,56027495,56110909,56196114,56299153,56448099,56541073,56648324,56696593,56734753,56785214,56921233,57065233,57098280,57170209,57308379,57437473,57504575,57957853,58018203,58153873,58251793,58364200,58411347,58495464,58505582,58515416,58538209,58681309,58682996,58716733,58755825,58847004,58890973,58912033,58945693,59041309,59072413,59091709,59186209,59199709,59211409,59219473,59229409,59243773,59308821,59652186,59706455,59765975,59773835,59990203,60072014,60174836,60176103,60368499,60388895,60587288,60904832,60918404,60939123,61236596,61497436,61965656,62000894,62122428,62128334,62189444,62296104,62316940,62672880,62717684,62828619,63350516,63490850,63530975,63659139,63725883,63897374,64114242,64235565,64250914,64427163,64466855,64522334,64908519,65224895,65267534,65412130,65514782,65659725,65807397,65829843,66086936,66375614,66474155,66491868,66851072,66933123,67231563,67232994,67748084,67955582,68160699,68316734,68517936,68786804,68903855,68994164,69005490,69012095,69408178,69689463,69711363,69718916,69910467,70029044,70037040,70083117,70338782,70506990,70573934,70614586,70767735,70998963,71508782,71647746,71719170,71728602,71817970,72332259,72397124,72466674,72546575,72909656,73108840,73421444,73605856,73625924,73805582,74238596,74347240,74347803,74370782,74706176,74708174,74780328,74790191,74795975,74839655,75207456,75267614,75443851,75448203,75485584,75575319,75622616,76057091,76189020,76237170,76299416,76373876,76500448,76794695,77082678,77103019,77360226,77385716,77686382,78218770,78269874,78279656,78494556,78548654,78791670,79250930,79440095,79500164,79700804,79756787,79768986,79856619,80037575,80140574,80218563,80559614,80958723,81268288,81301316,81319648,81432663,81562411,81852243,82023363,82110494,82247445,82496324,82684626,82695044,82721774,82794356,82799195,82806588,82814514,83340339,83406466,83513283,83640645,83729054,83884676,83997735,84044448,84127869,84227294,84376088,84425582,84522575,84608388,84863735,84872516,84921282,85002463,85075443,85115054,85700290,85758836,85836843,86063004,86087774,86181564,86250116,86269850,86376782,86791227,87055890,87425924,87730608,87853480,87877419,87915147,88064613,88195354,88304756,88435295,88574458,88694516,89024200,89049176,89216688,89470334,89569604,89597584,89644299,89671803,89745243,89755170,89807586,89869835,89873927,90241823,90783627,91071455,91426824,91484604,91504964,91537655,91601396,91787020,92153634,92493614,92756084,92854923,92859616,92948084,93032216,93044036,93326779,93332735,93351134,93445900,93523316,93862524,94097396,94277774,94444382,94550004,94610414,94829019,94858382,94923099,94930295,95022974,95051636,95101116,95328114,95738848,95864743,96045090,96335576,96726003,96761204,97100439,97201419,97652888,97810094,97913625,98240747,98283219,98425995,98441763,98696934,98800382,98835165,98930564,99154540,99323534,99359034,99420575,99545582,99766334,...,1714338992312611572888640838394608587221313624458788870636290909671583001257460929817923240457177910718943385175825430333427450025737907101388941217546145606788210473887077081528901694546885284507486995472232337575796489650580459893446597392357761848113175436620783031036120884038440088902877954102475453111147525413408790194902966529775665791421130469410213581468912140334192815512060107364558745618777325987406210852331456108499198237244440608012624602627382612326874390034576632690645506117281537728199095650492409923240669779997959875819414352510735301418227019083338429264412873271185263326395888351997498551591923214997685079601914043410183178373935492629157143756050023059282011459907486572099752127784849339703968281617673803921617332014871135062947784011840086811994651131269845175324064274630151152961483821865881577608305192563432087399675092886473613802628613934693343746273448971940747190413777015822400853288080848790563566996013759431011026598438400861113885982399121382315575948177181437422750428965885315892663584426771952052317187733170212033316631766182665699987036072385512224555807233440518543084210321210883282253802857713984454195499756709935180662107001279127998862892927398736317328638438520878665023310676748347224595407784713391180107581186843121582818145020402889513123450888760798574863808108185280988648119040624104437987544486415380729142934908737275998115786310619880251369186004576450354390704112907045234011559014764470679791460635467052908859425394966536181176585313389942759809821622499566399190400470447440786918745235636975963889218518562696864273933592507383077730183030858713369096364233965470081702325638049683698808300642624775086802909648648562887649099565372822429236655583733605609902322119976869283519625566776390908880962872172388830025766183662955098091959796407285495033465577244798289619197159887395066771364738887559034868005518800413055968457397002412546156856258508607841641568156675832407959738935954316488318083246861560365727888095165088656917851281300382034925766788051559291420238694781388686688168164070361004930168037232545916638560276660807991698109291747311020453074177715130258990177224508314060896170235868476798303990175100248378907608910154142843908017047301949107725616250879298276245748435535831612122115270970340584885083346573371557091251876298865042217988471179796580213942862650191138794418380947006018610195328840369773141331670341058617049979980759189131107514581241483090596}
15395  1547405674160205359125900078120382398903871013445593448136899767: {61564,538405,646086,769150,876261,922980,984512,999505,1107576,1184029,1199406,1246023,1306705,1428573,1568046,1691470,1860133,1980021,2029764,2227345,2380645,2672814,2797886,2805573,2856774,3013892,3117877,3146545,3354861,3629181,3775854,3886333,3996980,4305560,4439329,4454110,4522645,4592341,4675345,4724301,4734884,4796376,4843755,4960957,5166672,5344932,5395923,5427174,5438245,5610414,5766375,5812506,6150800,6330877,6352405,6525894,6764120,6904173,6919650,7380960,7567057,7588334,7609635,7622886,7720945,7771654,7872805,7873024,7950782,8116944,8119621,8303580,8631505,8800221,8857152,8877502,8937973,9044110,9070221,9131562,9265134,9447366,9531277,9692005,9892484,9964296,9994645,10357806,10561681,10807909,10852932,11209833,11299155,11354545,11358260,11630406,11957905,11959453,11993574,12052432,12249469,12293373,12371294,12410005,12841796,13162705,13451375,13558986,13579124,13616110,13625454,13629912,13688797,14132120,14349486,14369222,14457133,14515045,14892006,14955573,14965105,15160381,15174692,15333651,15364957,15439870,15649886,15795246,15898635,16141650,16311229,16339332,16448017,16507621,16929542,16958544,17069781,17217760,17359345,17418054,17873614,17958126,17981029,18254545,18384141,18475549,18527844,18673861,18981853,18999445,19078362,19216250,19369980,19782392,20337745,20527460,20546557,20661312,20736381,20762462,20779741,20831214,20879797,20936036,21376405,21905454,22255191,22356980,22430161,22751204,22799334,22980056,23059500,23132257,23146292,23152405,23243976,23312702,23329461,23536081,23595505,23890705,24090829,24103173,24185060,24295934,24405294,24495742,24596800,24632952,25050854,25302013,25344277,25364305,25388373,25651686,25680248,25687021,25741153,25850317,25852563,26149473,26190277,26230609,26297029,26494275,26595709,26675246,26828376,26830052,26980645,27130502,27154712,27178581,27220669,27671400,27712071,27777949,27782886,27935974,27953629,28006705,28260560,28293457,28314606,28668846,28890279,28910494,29022072,29052686,29186701,29211573,29466182,29496589,29506321,29516160,29660660,29715469,29725957,30181923,30437166,30442244,30549051,30645195,31041877,31130325,31230741,31483904,31509745,31793130,31920493,32376774,32381905,32485701,32501720,32649831,32688208,32769661,32817445,32822629,32910229,33107605,33205680,33303860,33397717,33608046,33912672,34411345,34415470,34845205,34866421,35022517,35216533,35419392,35474533,35495534,35496289,35592792,36172261,36206110,36218181,36482375,36564435,36774234,37153045,37189933,37356390,37440805,37451541,37468964,37811694,37958734,37993870,38151756,38264341,38387139,38733745,38757860,38858286,38877205,38886670,38940135,38971622,39002064,39087709,39170648,39380934,39429937,39658141,39729126,39846816,39964632,40041891,40158949,40595605,40840454,40911806,41051486,41116196,41293614,41298564,41519492,41536144,41738005,41814246,41943422,41993389,42165745,42310982,42396397,42450670,42735505,42814173,42897687,42946801,42951697,43081995,43107637,43278014,43447332,43488920,43745053,43778850,43827829,43873105,43877322,43904077,44066979,44583654,44827668,44827844,44866405,44928966,44960211,45125269,45142724,45217173,45496472,45590581,45592644,45698975,45716245,45769892,45886321,45921133,45933861,45954128,46031029,46129083,46250557,46258462,46480494,46509432,46564645,46652646,46664004,46697440,46728162,46889470,46953277,46998692,47009413,47348677,47411605,47771396,47788453,48011672,48116305,48317444,48538645,48638293,48699901,48714726,48725966,48925035,49166084,49312189,49372453,49522705,49803505,49933774,49958373,49960995,49966534,50085606,50095172,50280817,50598894,50785045,50915029,50940804,50979349,51068675,51183531,51200989,51282606,51564733,51698394,51967213,52186704,52186724,52323111,52534620,52647726,52993821,53013877,53179237,53291728,53717905,53839686,54013131,54219949,54495061,54509091,54807973,54838770,54859494,54915575,54969445,55080974,55130276,55163953,55385905,55548622,55663345,55763373,55877574,56036928,56217745,56267364,56311022,56513444,56605286,56693797,56893926,57464773,57739566,57826069,58047573,58153105,58246374,58365373,58365766,58411501,58494688,58640446,58644980,58710042,58924676,58975057,59075761,59313560,59427246,59477375,59764206,59770694,59859381,59953194,60218005,60355345,60358357,60444260,60476821,60623629,60932775,60942054,60984741,61041445,61282410,61328487,61380037,61433373,61509757,61704932,61861213,62000305,62016289,62104701,62273905,62549581,62720110,62848292,63041544,63409016,63518324,63795949,63828397,63906181,63970235,64320805,64405124,64461486,64464670,64489646,64669069,64891775,64994960,65053835,65284250,65337637,65367904,65385560,65432787,65737741,65752657,65806524,65898690,65951845,65963334,66049886,66063649,66090013,66104053,66169789,66463086,66489454,66727755,66761989,66796014,66937892,67076110,67124341,67171345,67461294,67590982,67982545,68493981,68494699,68663492,68711061,68737117,68792305,69024920,69198014,69235364,69446821,69597949,69735205,69738692,69783726,69793221,70004245,70291936,70373976,70611553,70655061,70757492,70810405,70921737,70939774,71109752,71110609,71154692,71176272,71211613,71335143,71372850,71526494,71941341,72261606,72426414,72533112,72955250,73119330,73144270,73239716,73249734,73353745,73432173,73538892,73558755,73576333,73608757,73805269,73829077,74400366,74728686,74928152,75124486,75218545,75264132,75674533,75734110,75802862,76131040,76148005,76172781,76208366,76223281,76411172,76545745,76646989,76764282,76871795,77139982,77184966,77211877,77357604,77457070,77653035,77653774,77699221,77736805,77870130,77881796,77896175,77918029,77993952,78064602,78341100,78397105,78397886,78462672,78670173,78835717,79078428,79142214,79170723,79188145,79286989,79536248,79803229,79998471,80073306,80112621,80206094,80234804,80491332,80605614,80727573,81129901,81163729,81252164,81403189,81579054,81585073,81599751,82154901,82550766,82608670,82829904,83061472,83114835,83167941,83553382,83563840,83682246,83770453,83771492,83871133,83967061,84005094,84293629,84294171,84685105,84781702,84878852,84923281,84967844,84972486,85177821,85446277,85473889,85485656,85647420,85882366,85902884,85983505,86033701,86242705,86544692,87148645,87293533,87536305,87546300,87743196,87758373,87773124,88001041,88024494,88270506,88330693,88655824,88667869,89244164,89309342,89410654,89478279,89642084,89643992,89815213,89839333,90108021,90262254,90496405,90784622,90845029,90880932,91063511,91137070,91357248,91377606,91386050,91776805,91786453,91854894,91864262,92007320,92032405,92246154,92570941,92798245,92919284,92934050,92948484,93001341,93040453,93183642,93192501,93213956,93284166,93354382,93382720,93444156,93475410,93691069,93850513,94009320,94076526,94124533,94356980,94528270,94665284,94860974,95025774,95049253,95162389,95236275,95374270,95467345,95515742,95530328,95544229,95625560,95638136,95846061,95909006,95998366,96171363,96376371,96443012,96622232,96730886,96732145,96783501,97293781,97443974,97533133,97730413,97849570,97901301,97924837,98118195,98272173,98556829,98968801,99130404,99375205,99386629,99563421,99600853,99626005,99660037,99707104,99737802,99882781,...,2571508488468917359332961257591912880831970436688183305954436364507374501886191394726884860685766866078415077763738145500141175038606860652083411826319218410182315710830615622293352541820327926761230493208348506363694734475870689840169896088536642772169763154931174546554181326057660133354316931153713179666721288120113185292354449794663498687131695704115320372203368210501289223268090161046838118428165988981109316278497184162748797355866660912018936903941073918490311585051864949035968259175922306592298643475738614884861004669996939813729121528766102952127340528625007643896619309906777894989593832527996247827387884822496527619402871065115274767560903238943735715634075034588923017189861229858149628191677274009555952422426510705882425998022306702594421676017760130217991976696904767762986096411945226729442225732798822366412457788845148131099512639329710420703942920902040015619410173457911120785620665523733601279932121273185845350494020639146516539897657601291670828973598682073473363922265772156134125643448827973838995376640157928078475781599755318049974947649273998549980554108578268336833710850160777814626315481816324923380704286570976681293249635064902770993160501918691998294339391098104475992957657781317997534966015122520836893111677070086770161371780264682374227217530604334269685176333141197862295712162277921482972178560936156656981316729623071093714402363105913997173679465929820377053779006864675531586056169360567851017338522146706019687190953200579363289138092449804271764877970084914139714732433749349598785600705671161180378117853455463945833827777844045296410900388761074616595274546288070053644546350948205122553488457074525548212450963937162630204364472972844331473649348059233643854983375600408414853483179965303925279438350164586363321444308258583245038649275494432647137939694610928242550198365867197434428795739831092600157047108331338552302008278200619583952686095503618819235284387762911762462352235013748611939608403931474732477124870292340548591832142747632985376776921950573052388650182077338937130358042172083030032252246105541507395252055848818874957840414991211987547163937620966530679611266572695388485265836762471091344255353802715197455985262650372568361413365231214265862025570952923661588424376318947414368622653303747418183172906455510877327625019860057335636877814448297563326982706769694870320914293975286708191627571420509027915292993260554659711997505511587925574969971138783696661271871862224635894}
15396  1554317069015090887643620846540298465896570694728011259406955834: {76955,92346,199979,292163,338426,353579,522818,568283,721403,861448,969129,1027043,1153725,1168348,1230640,1270979,1362323,1384470,1476768,1484003,1599208,1635923,1661364,1666283,1799109,1904764,1939163,2090483,2090728,2352069,2482979,2537205,2640028,2706352,2723843,2994203,3044646,3271418,3383579,3563752,3740764,3767365,3809032,3890723,3998906,4009221,4196829,4285161,4473148,4520838,4720979,4838908,4996225,5034472,5085818,5381950,5663781,5691443,5749979,5918605,5995470,6299068,6395168,6458340,6566123,6681165,6711203,6827123,6888896,6971843,7065026,7102326,7126576,7194564,7236232,7433603,7480552,7577483,7688500,7750008,7780418,7958906,8017398,8140761,8415621,8436563,8455150,8701192,8718759,8849186,8863403,9061979,9118643,9205564,9226200,9381626,9486179,9558818,9711683,9788841,9841280,9908579,10048979,10146180,10163848,10379475,10545878,10664363,10822592,10831523,10887179,11071440,11081723,11248163,11382501,11434329,11657481,11733628,11809536,11926173,12093628,12175416,12213323,12353512,12365605,12405179,12455370,12487283,12541979,12596488,12733163,13141523,13246586,13285728,13316253,13566165,13683203,13697343,13810408,13897701,14087363,14171049,14197825,14470576,14516483,14838726,14946444,14980346,15050003,15065540,15315563,15507208,15536709,15633179,15765179,15991432,16052245,16279398,16391164,16422179,16699706,16973905,17037390,17309593,17333579,17445609,17514683,17665150,17990361,18078648,18167272,18173216,18183923,18556941,18913346,18968365,19082618,19132648,19177643,19251746,19262694,19581803,19856008,19926818,19940764,19958843,20008979,20107549,20338479,20368686,20424165,20438181,20444868,20632979,20707523,20757179,21060328,21128579,21198180,21522200,21524229,21553833,21670043,21785776,22037003,22158923,22271426,22338009,22470217,22523483,22604066,22611392,22759708,22762038,22886243,23159805,23224072,23271203,23391083,23474829,23692869,23760373,23844803,23944168,24162853,24200963,24212475,24271979,24508998,24512188,24703792,24727990,24916418,25328579,25394313,25437816,25659325,25826640,26023979,26127081,26170045,26552243,26757803,26780603,26810421,26937189,27121643,27362618,27548416,27573563,27648508,27730979,27774952,27775883,27791766,27910403,27946225,28009466,28245443,28332026,28334483,28439005,28552381,28602182,28617543,28725070,28799843,28824375,28932865,29054970,29173979,29207272,29436683,29673588,29785163,29980283,30045179,30088403,30231325,30399112,30475979,30626003,30746000,30791190,30991968,31073723,31105948,31116179,31143693,31209146,31246821,31370243,31404054,31433579,31581083,31958579,32000363,32100310,32137564,32271179,32540392,32685179,32787386,32843936,32858181,33535470,33537565,33604979,33727418,33847523,33851164,33943390,34108979,34126806,34199001,34202248,34209179,34269203,34274317,34349123,34470084,34506818,34589250,34719438,34766603,34865964,34969053,35042963,35325700,35454563,35688179,35771168,35823923,36036443,36238108,36277590,36324683,36344126,36401243,36443901,36607941,36611123,36743613,36823418,36838979,36895200,36949428,37043848,37075825,37366163,37403579,37576281,37646003,37752808,37813043,38052805,38197826,38225128,38291963,38477529,38520372,38696096,38747363,38948764,39354880,39501179,39809413,39861818,39908003,40012869,40118579,40209862,40242564,40245078,40328003,40432283,40582888,40627150,40691723,40695753,40732068,40860260,40890982,41210306,41273123,41323979,41359418,41374763,41507100,41508386,41627603,41629825,41640988,41674329,41878643,41903961,41911979,41954426,42010213,42111323,42325979,42390840,42471909,42522923,42571979,42604643,42990146,43003269,43090763,43169032,43251203,43314268,43365741,43426763,43533108,43579029,43585523,43900643,44088179,44199273,44274240,44429003,44457506,44490990,44659163,44810728,44887523,45040418,45053843,45216896,45606179,45655749,45663366,45679979,45782963,46162043,46487618,46592723,46630262,46692179,46720523,46836205,47155763,47225856,47457056,47596979,47689695,47895563,47962883,47976323,48043403,48290908,48319414,48441683,48447325,48533579,48565161,48690203,48752580,48755123,48963310,48987179,49032312,49076723,49114979,49343003,49643003,49808520,49926179,49935388,49955790,50011523,50047979,50108579,50412069,50415592,50444243,50467979,50482861,50603066,50761979,50796923,50855003,50869008,51182852,51395245,51439418,51480683,51536363,51613979,51623205,51636083,51669179,51800843,51811048,51811763,51899365,51920180,51994106,52002752,52188923,52294883,52507912,52545923,52782179,52959266,52972168,53129088,53153363,53182979,53202683,53243301,53286176,53389188,53494403,53507618,53523179,53918483,54189818,54309165,54361150,54534997,54675323,54700979,55003706,55052603,55058152,55064752,55077179,55093523,55161351,55334843,55408706,55482889,55591979,55752328,55840403,55869923,56034585,56034805,56108579,56203446,56428405,56533403,56553179,56618579,56717541,56746979,56870590,56938101,56990805,57006203,57015746,57085564,57196916,57199979,57212365,57217163,57227634,57268283,57385043,57406883,57442660,57450179,57487643,57545723,57566603,57643763,57666193,57758579,57892643,57929776,57934403,58002563,58136790,58179683,58207418,58241123,58269179,58287429,58300763,58327979,58330005,58371800,58457433,58493579,58503096,58510979,58551923,58571963,58594979,58698203,58724843,58739363,58748365,58755972,58798163,58808963,58830179,58876043,58905179,58912283,58933163,58968683,58987763,58995386,58998083,59039243,59071401,59106323,59107883,59188979,59202083,59210363,59215523,59226443,59228579,59230643,59243579,59250179,59250923,59255723,59256179,59258363,59258579,59444872,59517818,59593689,59648066,59714245,59770224,59905288,59946948,60014590,60289564,60396805,60790192,61245148,61260681,61328186,61367709,61456418,61457605,61505444,61577229,61674294,61940421,61947846,61973992,62012576,62203528,62218672,62221033,62222786,62279238,62304216,62604026,62618965,62721369,62915133,63236546,63466473,63676005,63990818,64917021,64952968,65170998,65233380,65233405,65562133,65668275,65815983,66611164,66614660,66780808,66875481,67241502,67241766,67393449,67465192,67714086,67921072,68244708,68376808,68388966,68654838,68912845,68931192,69363746,69387693,69582272,69594217,69601346,69720741,69764148,69978969,69996006,70046160,70092243,70196968,70334205,70498038,70641805,70658428,71657094,71786248,72017508,72407618,72476166,72522746,72678788,73072089,73088949,73118360,73145992,73306225,73552418,73655845,73749126,74141950,74351164,74503432,74715904,74799949,74900661,74949801,75023152,75128409,75142758,75555325,75858568,75898341,76411206,76923909,76986088,77131165,77396764,77445818,77547591,77573846,77661832,77879546,78280056,78280086,78438493,78560365,78801930,78953786,78971589,79236328,79261270,79397905,79685608,79767193,79812508,79937592,80223866,80506405,80759529,81243700,81256072,81312988,81679418,81709880,81731950,81771316,81782306,81911164,82258155,82289241,82600226,82621461,82695414,82701818,82806268,83106746,83322933,83589037,83672365,83683369,83709818,83816361,84055392,84401046,84466533,84544453,84604706,84770166,84801986,84907929,85194818,85340889,85432534,85829365,85948648,86166818,86281150,86544205,86609349,87173365,87243716,87369561,87503426,87548649,87742032,87864920,87951112,87960669,87967470,88065063,88067618,88387014,88446865,88617448,88887190,88943365,88970340,89061352,89140869,89646309,89656041,89820026,89885653,89929791,89948392,90001466,90253597,90362618,90666390,91166786,91314853,91325308,91413081,91549645,91576982,91614748,91923615,92220866,92557398,93044968,93057628,93063817,93083426,93660190,93831968,94080165,94206748,94258021,94266818,94272438,94562316,94901696,95113524,95163800,95277486,95513965,95908418,95921788,96348808,96465397,96568552,96607686,96616933,96628346,96692229,96697005,96710816,96734469,97023266,97352245,97492418,97492440,97588942,97666312,97909564,97926375,98051856,98078340,98571278,98642618,98709786,98848035,98945001,99074829,99200488,99420310,99638248,99694629,99734181,...,3857262732703376038999441886387869321247955655032274958931654546761061752829287092090327291028650299117622616645607218250211762557910290978125117739478827615273473566245923433440028812730491890141845739812522759545542101713806034760254844132804964158254644732396761819831271989086490200031475396730569769500081932180169777938531674691995248030697543556172980558305052315751933834902135241570257177642248983471663974417745776244123196033799991368028405355911610877735467377577797423553952388763883459888447965213607922327291507004995409720593682293149154428191010792937511465844928964860166842484390748791994371741081827233744791429104306597672912151341354858415603573451112551883384525784791844787224442287515911014333928633639766058823638997033460053891632514026640195326987965045357151644479144617917840094163338599198233549618686683267722196649268958994565631055914381353060023429115260186866681178430998285600401919898181909778768025741030958719774809846486401937506243460398023110210045883398658234201188465173241960758493064960236892117713672399632977074962421473910997824970831162867402505250566275241166721939473222724487385071056429856465021939874452597354156489740752878037997441509086647156713989436486671976996302449022683781255339667515605130155242057670397023561340826295906501404527764499711796793443568243416882224458267841404234985471975094434606640571603544658870995760519198894730565580668510297013297379084254040851776526007783220059029530786429800869044933707138674706407647316955127371209572098650624024398178401058506741770567176780183195918750741666766067944616350583141611924892911819432105080466819526422307683830232685611788322318676445905743945306546709459266497210474022088850465782475063400612622280224769947955887919157525246879544982166462387874867557973913241648970706909541916392363825297548800796151643193609746638900235570662497007828453012417300929375929029143255428228852926581644367643693528352520622917909412605897212098715687305438510822887748214121449478065165382925859578582975273116008405695537063258124545048378369158312261092878083773228312436760622486817981320745906431449796019416899859043082727898755143706637016383030704072796183977893975558852542120047846821398793038356429385492382636564478421121552933979955621127274759359683266315991437529790086003455316721672446344990474060154542305481371440962930062287441357130763541872939489890831989567996258267381888362454956708175544991907807793336953841}
15397  1561259088188541186864120447833926521886462366666437510444040807: {123128,138519,507639,753767,784227,1076810,1292172,1399307,1460435,1538300,1752522,1829387,1845960,1969024,1999010,2076705,2198339,2215152,2368058,2380955,2398812,2492046,2613410,2857146,3118283,3136092,3300035,3332903,3382940,3720266,3960042,4059528,4405163,4454690,4566969,4592939,4675955,4761290,4907127,4961603,5345628,5544599,5591435,5595772,5611146,5713548,5998359,6027784,6048635,6235754,6247043,6293090,6331703,6545483,6709722,6781257,7258362,7551708,7613543,7628727,7772666,7873835,7993960,8072925,8088923,8457299,8611120,8878658,8893367,8908220,8993205,9045290,9184682,9350690,9448602,9469768,9592752,9610625,9687510,9921914,10333344,10563059,10597539,10653489,10689864,10791846,10809323,10854348,10876490,11021927,11220828,11290103,11506955,11532750,11625012,11670627,11938359,12026097,12084107,12296339,12301600,12661754,12682725,12704810,13051788,13273779,13301783,13528240,13568807,13690583,13808346,13839300,13992503,14072439,14133899,14338227,14667035,14761920,15117035,15134114,15162359,15176668,15219270,15245772,15441890,15543308,15745610,15746048,15818817,15885803,15896363,15901564,16233888,16239242,16313363,16450163,16607160,16741067,17172599,17263010,17374007,17441507,17582363,17600442,17714304,17755004,17875946,18088220,18140442,18263124,18317123,18427787,18530268,18683055,18831925,18894732,18995987,19062554,19276907,19384010,19784968,19869879,19928592,19989290,20321063,20488955,20649143,20715612,20951147,21123362,21250307,21316823,21484139,21615818,21705864,22258089,22319783,22419666,22433099,22470519,22598310,22709090,22716520,22963799,23238923,23260812,23588087,23915810,23918906,23987148,24104864,24303083,24419097,24498938,24586746,24742588,24820010,24925955,25049559,25159259,25556085,25556363,25683592,25853699,26325410,26497725,26599223,26629307,26750027,26902750,26996819,27078083,27117972,27158248,27232220,27250908,27259824,27377594,27996503,28264240,28297163,28370019,28449635,28472843,28623927,28698972,28738444,28877619,28894041,28914266,29030090,29316563,29784012,29890227,29902379,29911146,29926967,29930210,30017027,30320762,30349384,30553029,30640235,30667302,30729914,30879740,30935447,31045943,31078307,31299772,31590492,31622099,31776023,31797270,32254739,32283300,32413367,32622458,32678664,32896034,33015242,33033707,33036107,33244343,33407139,33446987,33859084,33906099,33917088,34082987,34139562,34143057,34435520,34529843,34560635,34718690,34836108,35027099,35510027,35747228,35916252,35962058,36014483,36176999,36509090,36763497,36768282,36951098,37055688,37091985,37347722,37374627,37437863,37724219,37772903,37963706,37998890,38156724,38432500,38739960,38882435,38893907,39209387,39564784,39672323,40164203,40171955,40675490,41043927,41054920,41093114,41290187,41322624,41472762,41524924,41559482,41619539,41662428,41687649,41759594,41872072,41998883,42014199,42149243,42166307,42313955,42498039,42752810,42903273,42957323,43087605,43582455,43686263,43810908,43833563,43951739,44041847,44113643,44157125,44510382,44713960,44860322,45297635,45334667,45502408,45598668,45913883,45944423,45960112,46119000,46186785,46264514,46292584,46304810,46350647,46487952,46625404,46658922,46767323,46813719,46915667,47072162,47106081,47191010,47781410,48150465,48175883,48181658,48206346,48233699,48370120,48591868,48685955,48734759,48783287,48810588,48991484,49181079,49193600,49265904,49482203,49828547,50101708,50287403,50303205,50591127,50604026,50614103,50688554,50728610,50776746,50915085,51075325,51190209,51303372,51360496,51374042,51482306,51691799,51698699,51700634,51705126,51760227,51883875,51896339,52014263,52051235,52079157,52298946,52380554,52415387,52417127,52461218,52594058,52988550,53191418,53350492,53656752,53660104,53961290,54142835,54227243,54248627,54261004,54309424,54357162,54400307,54416385,54428087,54441338,54502199,54516189,54778907,54948587,54981923,55113623,55235127,55342800,55424142,55555898,55556579,55565772,55871948,55907258,56013410,56132603,56521120,56586914,56629212,56701223,56833847,57022883,57296739,57337692,57481619,57780558,57820988,58044144,58105372,58373402,58423146,58433207,58932364,58993178,59012642,59032043,59032320,59083499,59321320,59430938,59451914,59792727,59829707,60172307,60314793,60363635,60363846,60366263,60367617,60685043,60874332,60884488,60940139,60940725,61098102,61290390,61336473,61422347,61598339,61815459,62024483,62039127,62083754,62260650,62262579,62404403,62419235,62461482,62812967,62931639,62967808,63019490,63248459,63586260,63840986,63978565,64002743,64485219,64753548,64763810,64773059,64900225,64971402,65003440,65190503,65299662,65376416,65539322,65613143,65634890,65645258,65820458,65913299,66215210,66376247,66411360,66607720,66635243,66686259,66736485,66795434,67216092,67362827,67560627,67825344,67954103,67966139,68495049,68515607,68746199,68822690,68830940,68977259,69312323,69331787,69690410,69724907,69731427,69732842,69945393,70045034,70287323,70433066,70838784,70949066,70991068,70992578,71099063,71122199,71185584,71356955,71496145,71579867,71646107,71803325,72179063,72344522,72412220,72436362,72479121,72587063,72964750,73128870,73444965,73548468,73835843,74056019,74306090,74379866,74712780,74881610,74903082,74933685,74937928,75048083,75205067,75361955,75623388,75904599,75917468,75987740,76002839,76303512,76528682,76556435,76774278,76881805,76957223,77159127,77467490,77515720,77540267,77716572,77754410,77773340,77785943,77880270,77928683,77943244,77991159,78004128,78079643,78106379,78175418,78341296,78665987,78685223,78704843,78761868,78859874,79316282,79438899,79458252,79476563,79693632,79716563,79929264,80083782,80261427,80317898,81191210,81284727,81414347,81480059,81541725,81680908,81714743,81823612,82102972,82232392,82505559,82587228,82597128,83038984,83072288,83113059,83154647,83200619,83263955,83268325,83476010,83628492,83886844,83986778,84159179,84272663,84305169,84305207,84331490,84497483,84621964,84792794,84901340,85305885,85458023,85471010,85523619,85628346,85795374,85841451,85893602,85903394,86163990,86215274,86556028,86721683,86800427,86894664,86977840,87183467,87205185,87224243,87311127,87490106,87557700,87655658,87746210,87754644,87808154,88133958,88323035,88493079,89167308,89178923,89276727,89433539,89472099,89558329,89643347,89655336,89655688,89732810,89857932,89920422,90021885,90049127,90250538,90285448,90434346,90712403,90780059,90848485,90882083,90992944,91075369,91181162,91185288,91397950,91432490,91539784,91772642,91842266,91867722,91908256,91992279,92062058,92184627,92258166,92332583,92345219,92501114,92511441,92516924,92921769,92938955,92960988,93018864,93129290,93305292,93328008,93334179,93394880,93418857,93456324,93666107,93778940,93877547,93906039,93906554,93997384,94018826,94039883,94312907,94697354,94823210,94854819,95175563,95542792,95576906,95708939,95986227,96023344,96232610,96309227,96634888,96745955,97077290,97211987,97276586,97399802,97429452,97451932,97629287,97756497,97835963,97850070,98005943,98227319,98332168,98624378,98679383,98744906,98999267,99045410,99099383,99134567,99607010,99765635,99867548,99916746,99921990,99933068,...,5143016976937834718665922515183825761663940873376366611908872729014749003772382789453769721371533732156830155527476291000282350077213721304166823652638436820364631421661231244586705083640655853522460986416697012727389468951741379680339792177073285544339526309862349093108362652115320266708633862307426359333442576240226370584708899589326997374263391408230640744406736421002578446536180322093676236856331977962218632556994368325497594711733321824037873807882147836980623170103729898071936518351844613184597286951477229769722009339993879627458243057532205904254681057250015287793238619813555789979187665055992495654775769644993055238805742130230549535121806477887471431268150069177846034379722459716299256383354548019111904844853021411764851996044613405188843352035520260435983953393809535525972192823890453458884451465597644732824915577690296262199025278659420841407885841804080031238820346915822241571241331047467202559864242546371690700988041278293033079795315202583341657947197364146946727844531544312268251286897655947677990753280315856156951563199510636099949895298547997099961108217156536673667421700321555629252630963632649846761408573141953362586499270129805541986321003837383996588678782196208951985915315562635995069932030245041673786223354140173540322743560529364748454435061208668539370352666282395724591424324555842965944357121872313313962633459246142187428804726211827994347358931859640754107558013729351063172112338721135702034677044293412039374381906401158726578276184899608543529755940169828279429464867498699197571201411342322360756235706910927891667655555688090592821800777522149233190549092576140107289092701896410245106976914149051096424901927874325260408728945945688662947298696118467287709966751200816829706966359930607850558876700329172726642888616517166490077298550988865294275879389221856485100396731734394868857591479662185200314094216662677104604016556401239167905372191007237638470568775525823524924704470027497223879216807862949464954249740584681097183664285495265970753553843901146104777300364154677874260716084344166060064504492211083014790504111697637749915680829982423975094327875241933061359222533145390776970531673524942182688510707605430394911970525300745136722826730462428531724051141905847323176848752637894828737245306607494836366345812911021754655250039720114671273755628896595126653965413539389740641828587950573416383255142841018055830585986521109319423995011023175851149939942277567393322543743724449271788}
15398  1568231866298378165341030076800087210738722698820508301806141167: {107737,153910,184692,399958,568357,584326,676852,707158,1027177,1045636,1136566,1210201,1442806,1615215,1666501,1722896,1922875,1938258,1939417,2054086,2121001,2307450,2336696,2392837,2461280,2541958,2628783,2724646,2754277,2768940,2953536,2968006,2998515,3024601,3198416,3204457,3271846,3322728,3332566,3552087,3598218,3738069,3809528,3878326,3920115,4180966,4181456,4188517,4228675,4285719,4632937,4704138,4965958,5074410,5075557,5274311,5280056,5412704,5447686,5516377,5580399,5940063,5988406,6089292,6542836,6682035,6767158,6994715,7127504,7141935,7481528,7534730,7618064,7781446,7997812,8018442,8123497,8286047,8393658,8416719,8466217,8551717,8570322,8892997,8946296,9041676,9148201,9317977,9353631,9439635,9441958,9677816,9741157,9992450,10064583,10068944,10171636,10763900,10887543,11135275,11249701,11327562,11382886,11499958,11658999,11837210,11990940,12598136,12790336,12916680,13132246,13306201,13317987,13362330,13422406,13549957,13567935,13654246,13777023,13777792,13943686,13954777,14026035,14130052,14172903,14204652,14253152,14277337,14357797,14389128,14472464,14518501,14531265,14867206,14882871,14961104,15078697,15154966,15377000,15500016,15560836,15917812,15951877,16034796,16187769,16281522,16314735,16831242,16873126,16910300,17050597,17299125,17311847,17402384,17437518,17672101,17698372,17726806,18123958,18212137,18237286,18411128,18452400,18672217,18763252,18970835,18972358,18992631,19057215,19117636,19423366,19429135,19577682,19584601,19682560,19817158,19876955,20097958,20292360,20327696,20712519,20758950,21091756,21328726,21645184,21663046,21673177,21774358,22142880,22163446,22186501,22193755,22473143,22496326,22610275,22701171,22765002,22828905,22868658,22913701,23162835,23314962,23467256,23618415,23619072,23763467,23852346,24187256,24350832,24358863,24426646,24488197,24707024,24731210,24810358,24841177,24910740,24974566,25083958,25192357,25192976,25466326,25894515,26283046,26400663,26493172,26555711,26571456,26632506,26647657,26784601,26813919,26989477,27132330,27210663,27366406,27394686,27620816,27795402,27802501,28174726,28271977,28342098,28395650,28556099,28593831,28804201,28941152,29032966,29076015,29266117,29463001,29593897,29677452,29892888,29960692,29983935,30100006,30131080,30631126,30928235,31014416,31073418,31078501,31266358,31530358,31593463,31685043,31982864,32104490,32423727,32558796,32782328,32834437,32844358,33399412,33447877,33629499,33743723,33873001,33897465,33947810,34040275,34054117,34063635,34074780,34619186,34667158,34891218,35029366,35244997,35330300,35771497,35829637,35873715,35878359,35923055,35980722,36119257,36157296,36334544,36346432,36367846,36638063,36748407,36880119,37113882,37230015,37372201,37826692,37936730,38165236,38206501,38265296,38316517,38355286,38503492,38525388,38599675,38916457,39124715,39163606,39488115,39712016,39814607,39853636,39881528,39917686,39932197,40017958,40215098,40354125,40456357,40506011,40676958,40715737,40737372,40848330,40876362,40889736,41066391,41265958,41280037,41415046,41514358,41735257,42120656,42135001,42234217,42257158,42323855,42396360,43044400,43048458,43107666,43258597,43340086,43354501,43371399,43545135,43571552,44074006,44317846,44436697,44542852,44676018,44684035,44866719,44895315,44895337,44940434,45046966,45076777,45208132,45222784,45481143,45519416,45524076,45772486,46000953,46094871,46314601,46319610,46400857,46448144,46542406,46743001,46782166,46949658,46952591,47038597,47385738,47520746,47689606,47695905,47888336,47904217,47985001,48040625,48325706,48401926,48424950,48543958,48660037,48933687,49017996,49024376,49085737,49344051,49407584,49427557,49455980,49465177,49522863,49832836,50631001,50657158,50788626,50875632,50876197,51049177,51209343,51318650,51653280,51821701,51906155,51984601,52047958,52078035,52254162,52340090,52399717,53104486,53273927,53515606,53561206,53620842,53874378,53943087,54130777,54212101,54243286,54557017,54725236,54737701,54763635,54788677,55096832,55113001,55147126,55152423,55282597,55297016,55425157,55426647,55461958,55472101,55549904,55551766,55583532,55588201,55820806,55859497,55892450,56018932,56021583,56411737,56490886,56650201,56664052,56668966,56784517,56878010,56945559,56998335,57024601,57060457,57078277,57104762,57166297,57204364,57235086,57235417,57450140,57579397,57599686,57648750,57656617,57761701,57865730,58015717,58108201,58109940,58146757,58197157,58234201,58258537,58281755,58294501,58347958,58414544,58589017,58738777,58873366,58877701,58949701,59002117,59032537,59044201,59061157,59112997,59122501,59271001,59274277,59274601,59347176,59570326,59661563,59960566,60090358,60176806,60462650,60739835,60798224,60950879,60951958,61013235,61239355,61252006,61492000,61582380,61639671,61983936,62147446,62209143,62211896,62232358,62287386,62339223,62418292,62493642,62627135,62639391,62740486,62808108,62867158,63162166,63917158,64000726,64129215,64200620,64275128,64450451,64542358,65080784,65370358,65570687,65574772,65687872,65716362,66688115,66765573,67070940,67075130,67209958,67290483,67454836,67695046,67702328,67826255,67886780,68217958,68253612,68398002,68404496,68418358,68538406,68548634,68698246,68940168,69013636,69178500,69396771,69438876,69457215,69533206,69731928,69839935,69938106,69988383,70085926,70608243,70651400,70786515,70909126,71376358,71542336,71647846,71672115,71953343,72072886,72272487,72276235,72309519,72476216,72555180,72631715,72649366,72659111,72688252,72802486,72887802,73215882,73222246,73487226,73646836,73665455,73677958,73790400,73898856,74087696,74151650,74732326,74807158,75152562,75292006,75505616,75626086,75906039,76032831,76092915,76105610,76165119,76395652,76450256,76583926,76955058,77040744,77061063,77223459,77392192,77494726,77550951,77557689,77897528,78448419,78448727,78570831,78691827,78709760,78891087,78999767,79002358,79482825,79618826,79723636,79787127,79816006,80025738,80097311,80237158,80419724,80485128,80490156,80656006,80864566,80941935,81165776,81254300,81383446,81391506,81464136,81535743,81662007,81720520,81781964,82247711,82420612,82546246,82647958,82718836,82749526,83014200,83016772,83136213,83255206,83259650,83281976,83333847,83348658,83599943,83757286,83807922,83823958,83860887,83908852,84020115,84020426,84222646,84555527,84651958,84781680,84880371,84943818,85045846,85143958,85209286,85980292,86006538,86038675,86040647,86181526,86338064,86502406,86628536,86670837,86731482,86853526,87066216,87158058,87171046,87176023,87560103,87634719,87666551,87801286,88176358,88398546,88489767,88518963,88548480,88738835,88858006,88915012,88981980,89146407,89177871,89318326,89621456,89775046,90080836,90107686,90433792,90515275,90545769,91212358,91311498,91326732,91326767,91359958,91565926,91647153,91935585,92324086,92975236,93125631,93185446,93260524,93384358,93390975,93441046,93672410,93692223,94270319,94311526,94451712,94529235,94896835,94914112,94984675,95193958,95379390,95761479,95791126,95925766,95952646,96086806,96477983,96581816,96638828,96883366,96894650,97067158,97130322,97145715,97216675,97380406,97429055,97457103,97505160,97510246,97926620,97949493,97974358,98064624,98153446,98229958,98308983,98452335,98467887,98686006,98730687,98898527,99286006,99322815,99617040,99852358,99870776,99911580,...,7714525465406752077998883772775738642495911310064549917863309093522123505658574184180654582057300598235245233291214436500423525115820581956250235478957655230546947132491846866880057625460983780283691479625045519091084203427612069520509688265609928316509289464793523639662543978172980400062950793461139539000163864360339555877063349383990496061395087112345961116610104631503867669804270483140514355284497966943327948835491552488246392067599982736056810711823221755470934755155594847107904777527766919776895930427215844654583014009990819441187364586298308856382021585875022931689857929720333684968781497583988743482163654467489582858208613195345824302682709716831207146902225103766769051569583689574448884575031822028667857267279532117647277994066920107783265028053280390653975930090714303288958289235835680188326677198396467099237373366535444393298537917989131262111828762706120046858230520373733362356861996571200803839796363819557536051482061917439549619692972803875012486920796046220420091766797316468402376930346483921516986129920473784235427344799265954149924842947821995649941662325734805010501132550482333443878946445448974770142112859712930043879748905194708312979481505756075994883018173294313427978872973343953992604898045367562510679335031210260310484115340794047122681652591813002809055528999423593586887136486833764448916535682808469970943950188869213281143207089317741991521038397789461131161337020594026594758168508081703553052015566440118059061572859601738089867414277349412815294633910254742419144197301248048796356802117013483541134353560366391837501483333532135889232701166283223849785823638864210160933639052844615367660465371223576644637352891811487890613093418918532994420948044177700931564950126801225244560449539895911775838315050493759089964332924775749735115947826483297941413819083832784727650595097601592303286387219493277800471141324994015656906024834601858751858058286510856457705853163288735287387056705041245835818825211794424197431374610877021645775496428242898956130330765851719157165950546232016811391074126516249090096756738316624522185756167546456624873521244973635962641491812862899592038833799718086165455797510287413274032766061408145592367955787951117705084240095693642797586076712858770984765273128956842243105867959911242254549518719366532631982875059580172006910633443344892689980948120309084610962742881925860124574882714261527083745878979781663979135992516534763776724909913416351089983815615586673907682}
15399  1575235538549467459695126293554177724775124728861205766377971015: {230865,246256,277038,599937,846065,876489,1015278,1060737,1307045,1507534,1568454,1704849,1860617,2044609,2153620,2164209,2584344,2598037,2798614,2907387,2920870,3076600,3081129,3333337,3461175,3505044,3658774,3691920,3812937,3938048,3998020,4086969,4153410,4396678,4430304,4452009,4620049,4736116,4761910,4797624,4899521,4907769,4984092,4998849,5226820,5397327,5545321,5714292,5817489,6005369,6236566,6271449,6272184,6546337,6600070,6665806,6765880,7056207,7382869,7440532,7448937,7611615,7828009,7920084,8119056,8171529,8178545,8468089,8810326,8909380,8982609,9040561,9133938,9185878,9351910,9522580,9814254,9923206,9948521,9997265,10150737,10691256,11023369,11089198,11182870,11191544,11222292,11302095,11427096,11672169,11996718,12027663,12055568,12097270,12471508,12494086,12586180,12590487,12663406,12714545,12855483,13090966,13342849,13419444,13454875,13562514,13811429,14162937,14516724,14532037,14977721,14988675,15103416,15227086,15257454,15545332,15720289,15747670,15987920,16109737,16145850,16177846,16570649,16914598,16983857,16991343,17074329,17222240,17249937,17584657,17662565,17754721,17755815,17757316,17786734,17816440,17986410,18090580,18226181,18369364,18701380,18897204,18939536,19185504,19221250,19279429,19375020,19451045,19493449,19698369,19843828,19897265,20043495,20133609,20481369,20533849,20666688,20915529,21126118,21137875,21163849,21195078,21230809,21306978,21379728,21583692,21586889,21618646,21647509,21708696,21752980,22043854,22122965,22300809,22441656,22580206,22732449,23013910,23065500,23250024,23341254,23454065,23876718,23897045,24052194,24168214,24372529,24422283,24592678,24603200,25192609,25246863,25309689,25323508,25365450,25409620,26103576,26156277,26364695,26547558,26590209,26603566,27056480,27137614,27185937,27355929,27381166,27616692,27678600,27985006,28144878,28267798,28313737,28458537,28676454,28684537,28945537,29135049,29331749,29334070,29366523,29523840,29725737,29897089,30146937,30234070,30268228,30324718,30353336,30438540,30491544,30883780,31086616,31138425,31292489,31491220,31492096,31500641,31626241,31637634,31771606,31792726,31803128,31993089,32467776,32478484,32494569,32626726,32661537,32900326,33116465,33214320,33245169,33482134,33744489,34147503,34302987,34345198,34526020,34748014,34883014,34896337,34972443,35164726,35200884,35428608,35510008,35751892,35778519,36176440,36280884,36526248,36634246,36639969,36795809,36855574,37008281,37060536,37096815,37215537,37366110,37442761,37450865,37461849,37577009,37625937,37663850,37789464,37857017,37991974,38109809,38119237,38125108,38199489,38553814,38585189,38768020,39288769,39424569,39569936,39668537,39739758,39826721,39829489,39857184,39948759,39978580,40251481,40642126,40698495,40977910,41049609,41092029,41295589,41298286,41431224,41693103,41749265,41793257,41902294,42246724,42262089,42500614,42513147,42593475,42633646,42775337,42896329,42968278,43231636,43411728,43549449,44047609,44162875,44500457,44516178,44639566,44722901,44839332,44866198,44941038,45150009,45196620,45418180,45433040,45919897,45927598,45946689,46477846,46521624,46610127,46695737,46899537,47127049,47176174,47283365,47295537,47361089,47706545,47802449,47831620,47837812,47974296,48129365,48156735,48209728,48384889,48606166,48838194,48997876,49173492,49266537,49485176,49640020,49817045,49851910,50099118,50318518,50921715,51112170,51112726,51367184,51560161,51578417,51707398,51895969,51928779,52000737,52182929,52269361,52336827,52544049,52650820,52995450,53198446,53258614,53500054,53805500,53971083,53993638,54156166,54235944,54316496,54435409,54464440,54501816,54519648,54551769,54755188,55670823,55678565,55690729,55716581,55993006,56240737,56510165,56528480,56594326,56740038,56845717,56899270,56905095,56945686,57247854,57397944,57476888,57532929,57755238,57788082,57828532,58060180,58152049,58633126,58745409,59239537,59564369,59568024,59780454,59804758,59822292,59853934,59860420,59876529,60003817,60005189,60026937,60034054,60322647,60520709,60641524,60698768,61015437,61106058,61272495,61280470,61314543,61332037,61334604,61459828,61759480,61819975,61870894,61898937,62091886,62122569,62156614,62271537,62291045,62412577,62599544,63180984,63244198,63385737,63416689,63552046,63594540,63645289,63845129,63961841,64509478,64563977,64566600,64572687,64661499,64826734,65010129,65244916,65357328,65792068,66030484,66067414,66072214,66111009,66476769,66488686,66814278,66893974,67014027,67141937,67410651,67570449,67718168,67812198,67834176,68160337,68165974,68279124,68286114,68406545,68658729,68871040,68992121,69059686,69121270,69321481,69437380,69479415,69672216,69813609,70023665,70054198,70173249,70424487,70830065,70911137,71020054,71078607,71230777,71281119,71494456,71505455,71534409,71812675,71832504,71924116,72028966,72137477,72353998,72488559,72602889,72637425,72798037,72815937,72871729,73018180,73526994,73533121,73536564,73783721,73902196,74111376,74183970,74631769,74695444,74749254,74875726,75448438,75545806,75799969,75927412,75985737,75997780,76182939,76313448,76865000,76977975,77479920,77764870,77787814,78022865,78071937,78381243,78418774,78510135,79092929,79129568,79344646,79656729,80250775,80273409,80328406,80341809,80343910,80431263,80458697,80811567,81350980,81364929,81784217,81968465,82087854,82109840,82186228,82580374,82645248,82720689,82945524,83049848,83118964,83192937,83208089,83239078,83307521,83324856,83327649,83375298,83519188,83731209,83744144,83838675,83997766,84028398,84298486,84318545,84332614,84509089,84627910,84736329,84858475,84996078,85003449,85202777,85214257,85302529,85317015,85505620,85657143,85806546,85852629,85914646,86175210,86267045,86399529,86473125,86683349,86798595,87164910,87372526,87386929,87521937,87621816,87667126,87903478,87920809,88083694,88227286,88310049,88314250,88693189,89020764,89355489,89427920,89569991,89720644,89821537,89940849,90135537,90180997,90265209,90595270,90669334,90693975,90860315,90869537,90952009,91004816,91197336,91230437,91427937,91665169,91827766,91878009,91888846,91920224,92058545,92238000,92373570,92529028,92585168,92609620,92701294,92975904,93221169,93250808,93317844,93348537,93431079,93467009,93534646,93627438,93740463,93831334,94110729,94144324,94212162,94300737,94382020,94743249,95119081,95494565,95562820,95875737,96001089,96165929,96300930,96351766,96363316,96412692,96467398,96571969,96740240,96813537,97183736,97371910,97469518,97566574,97621176,97982968,98055537,98362158,98387200,98531808,98574543,98964406,99654545,99657094,99670561,99899737,...,11571788198110128116998325659163607963743866965096824876794963640283185258487861276270981873085950897352867849936821654750635287673730872934375353218436482845820420698737770300320086438191475670425537219437568278636626305141418104280764532398414892474763934197190285459493815967259470600094426190191709308500245796540509333815595024075985744092092630668518941674915156947255801504706405724710771532926746950414991923253237328732369588101399974104085216067734832633206402132733392270661857166291650379665343895640823766981874521014986229161781046879447463284573032378812534397534786894580500527453172246375983115223245481701234374287312919793018736454024064575246810720353337655650153577354375534361673326862547733043001785900919298176470916991100380161674897542079920585980963895136071454933437433853753520282490015797594700648856060049803166589947806876983696893167743144059180070287345780560600043535292994856801205759694545729336304077223092876159324429539459205812518730381194069330630137650195974702603565395519725882275479194880710676353141017198898931224887264421732993474912493488602207515751698825723500165818419668173462155213169289569395065819623357792062469469222258634113992324527259941470141968309460015930988907347068051343766019002546815390465726173011191070684022478887719504213583293499135390380330704730250646673374803524212704956415925283303819921714810633976612987281557596684191696742005530891039892137252762122555329578023349660177088592359289402607134801121416024119222941950865382113628716295951872073194535203175520225311701530340549587756252225000298203833849051749424835774678735458296315241400458579266923051490698056835364966956029337717231835919640128377799491631422066266551397347425190201837866840674309843867663757472575740638634946499387163624602673921739724946912120728625749177091475892646402388454929580829239916700706711987491023485359037251902788127787087429766284686558779744933102931080585057561868753728237817691636296147061916315532468663244642364348434195496148777578735748925819348025217086611189774373635145135107474936783278634251319684937310281867460453943962237719294349388058250699577129248183696265431119911049149092112218388551933681926676557626360143540464196379115069288156477147909693435263364658801939866863381824278079049798947974312589370258010365950165017339034971422180463626916444114322888790186862324071392290625618818469672495968703988774802145665087364870124526634975723423380010861523}
15400  1582270240736258042490913572946582143834426976589944268756461591: {215474,261511,307820,353671,369384,415557,629719,799916,1088359,1136714,1168652,1353704,1414316,1522917,1545199,1727431,2000239,2054354,2091031,2091272,2261301,2273132,2352681,2420402,2543911,2634271,2692025,2885612,3230430,3333002,3444271,3445792,3623479,3802399,3845750,3876516,3878834,3981031,4070239,4108172,4197921,4242002,4381305,4426351,4614900,4673392,4781311,4785674,4922560,4997525,5083916,5223391,5257566,5449292,5488161,5508554,5537880,5751511,5907072,5920145,5936012,5997030,6049202,6230115,6396832,6408914,6451639,6533525,6543692,6595017,6625951,6645456,6665132,6712999,6886879,7104174,7142865,7196436,7476138,7493191,7579519,7619056,7751959,7756652,7840230,8267551,8361932,8362912,8377034,8438839,8457350,8571438,8695231,9121111,9265874,9300665,9354849,9408276,9460519,9545191,9629791,9714319,9792601,9900105,9931916,9967471,9998709,10051711,10148820,10151114,10303999,10548622,10560112,10825408,10890151,10895372,11032754,11136725,11140279,11160798,11306671,11804119,11880126,11903225,11976812,12178584,12216679,12463351,12545431,12791239,13085672,13199479,13215489,13364070,13534316,13700907,13767991,13778817,13989430,14027865,14091271,14255008,14283870,14574031,14721381,14814439,14884809,14963056,15069460,15236128,15562892,15589385,15690391,15732725,15995624,16036884,16246994,16400599,16572094,16633797,16774305,16787316,16833438,16932434,16948951,17103434,17140644,17338471,17785994,17892592,17995077,18083352,18145905,18296402,18572839,18635954,18707262,18741129,18879270,18883916,18995109,19183111,19355632,19431665,19482314,19636449,19984900,20014711,20129166,20137888,20343272,20343771,20688631,20763151,20837599,21134671,21527800,21578119,21725359,21775086,22092199,22196645,22270550,22311439,22499402,22530031,22613225,22655124,22765772,22840629,22886181,22961705,22999916,23317998,23376725,23397919,23541559,23621505,23674420,23981880,24218775,24266769,24326431,24750871,24804785,25032391,25196272,25371897,25382671,25580672,25661599,25800631,25833360,26008639,26215999,26264492,26559169,26560159,26612402,26635974,26680101,26724660,26834191,26844812,26979615,27099914,27135870,27191225,27200789,27308492,27514231,27554046,27555584,27581839,27784231,27827737,27887372,27909554,28052070,28260104,28345806,28387519,28409304,28506304,28554674,28715594,28778256,28831875,28944928,29037002,29062530,29182831,29445631,29734412,29765742,29837671,29922208,30097591,30157394,30309932,30678199,30742351,30754000,31000032,31071257,31121672,31125751,31189399,31379911,31597577,31632919,31654385,31689177,31695991,31762025,31792617,31821919,31835624,31903754,31960467,32010271,32069592,32375538,32427969,32563044,32629470,33065359,33065781,33188119,33371719,33662484,33746252,33748117,33820600,33858151,33870309,34101194,34159831,34399879,34520865,34579159,34598250,34623694,34698319,34804768,34817191,34875036,35011881,35172079,35310341,35344202,35396744,35453612,35815077,35874079,36078291,36221191,36247916,36252321,36278791,36336319,36424274,36474572,36508471,36822256,36850831,36889017,36904800,37190599,37337729,37344434,37415671,37526504,37835285,37941670,37944716,37985262,38048175,38114430,38235272,38304439,38469031,38604725,38846732,38858270,39066991,39155364,39169202,39364025,39365120,39496399,39549751,39634316,39753910,39821337,39905349,39921199,40184359,40195916,40445719,40584720,40598105,40655392,40705279,40706421,40911631,41071749,41320879,41371711,41425038,41517900,41574319,41926111,41977509,42183512,42217317,42401697,42422551,42619111,42657452,42668071,43014681,43157525,43290368,43297999,43299529,43326092,43346354,43441639,43548716,43821511,43915759,44001105,44103391,44243359,44285760,44326892,44373002,44387510,44475199,44689865,44705239,44933479,44946286,44978911,44992652,45069559,45220550,45351105,45402342,45487077,45518479,45530004,45607399,45651751,45657810,45737316,45827402,45960199,46178359,46325670,46523671,46609279,46629924,46737151,46934512,47236830,47238144,47242159,47325319,47456451,47526934,47614111,47656385,47657409,47689089,47704692,48221071,48374512,48380191,48460025,48538159,48701664,48717726,48733999,48811831,48853292,48940089,48976394,49158511,49348591,49350489,49414048,49462420,49620716,49682354,49821480,49949132,49973225,50167916,50223201,50235919,50292277,50384714,50385952,50486911,50804431,50839351,50874199,50932652,51286759,51517797,51655831,51688951,51789030,51820711,51853471,52048519,52122021,52324521,52462231,52524799,52566092,52747089,52772191,52801326,52802791,52808405,52984879,52986344,53111422,53142912,53194039,53223631,53265012,53295314,53341279,53515591,53569202,53573119,53627838,53687311,53859641,53967751,53978954,54039545,54264660,54321559,54348271,54421326,54732812,54774601,54789372,54951369,55091599,55116151,55241632,55283361,55333879,55590804,55605002,55729231,55863799,55908079,55930111,55973959,56049165,56060791,56146471,56188879,56335039,56349452,56355631,56495775,56497759,56543954,56684196,56694679,56772725,56791300,56865751,56958271,56987961,57030991,57112198,57187662,57225031,57491719,57571279,57608402,57724999,57830721,57882304,57969799,57997231,58010839,58037839,58065932,58152030,58193791,58206319,58291999,58327639,58362631,58463719,58485391,58527871,58532234,58579351,58589431,58648399,58758559,58767271,58818031,58926002,58933591,58940719,58961671,59068159,59090191,59116111,59135551,59153839,59187794,59227999,59242039,59249599,59253397,59256511,59258671,59266591,59270119,59274871,59276311,59281351,59286751,59289271,59354904,59609637,59785776,59789525,59797265,59921384,59967870,60200012,60262160,60963189,61247345,61262252,61466865,61856470,61947429,62028832,62050025,62146836,62157002,62532716,62557649,62853441,63060716,63186926,63370086,63750921,63950469,63965728,64208980,64452417,64847454,65117592,65564656,65668874,65688716,65813525,66016049,66774267,66798824,66895754,66959349,67256875,67258998,67299297,67411557,67487446,67746002,67794930,67895620,68080550,68108234,68127270,68149560,68443985,68891397,69238372,69334316,69716769,69782436,70058732,70489994,70660600,70764261,71542994,71659274,71747430,71756718,71846110,71961444,72032857,72238514,72285665,72314592,72575225,72668617,72669088,72692864,72735692,72909249,73257291,73276126,73496814,73760238,74227764,74460030,74744402,74777865,74825525,75148677,75409637,75477777,75653384,75801905,75873460,76330472,76413002,76530592,76633034,76668255,76669089,76710572,76824785,77006984,77050776,77199350,77561097,77832914,78249430,78327212,78976230,79424032,79493175,79629214,79707272,79763056,79797669,79835372,79864394,79887921,80035916,80250081,80430196,80708250,80912714,80990457,81012022,81234249,81353916,81431474,81474744,81556145,81594457,81696660,81752724,81779472,82132782,82240085,82531916,82538105,82560074,82830092,83028716,83470514,83989509,84241312,84270002,84468434,84514316,84647710,84792720,84891489,85035769,85110057,85348905,85418529,85735097,85871781,86088800,86096916,86215332,86517194,86632857,86680172,86682123,86709002,86742798,86796725,87090270,87143104,87187397,87677989,87949689,88148012,88635692,88873394,89085704,89352036,89368070,89670681,89707137,89733438,89780901,89790630,89790674,89880868,89905145,90051081,90093932,90153554,90416264,90445568,90962286,91038832,91048152,91272725,91544972,91659087,91920705,92001906,92189742,92377745,92629202,92639220,92801714,92806341,92896288,93084812,93137829,93234921,93363361,93369305,93486002,93564332,93899316,93905182,94077194,94771476,94866297,94909265,94956757,94997225,95041492,95328069,95379212,95391810,95776672,95808434,95970002,96081250,96651412,96764217,96803852,96849900,97087916,97240101,97320074,97775909,97867374,98035992,98048752,98171474,98688102,98815168,98855114,98911960,98930354,99045726,99101121,99108321,99665672,99733029,...,15429050930813504155997767545551477284991822620129099835726618187044247011317148368361309164114601196470490466582428873000847050231641163912500470957915310461093894264983693733760115250921967560567382959250091038182168406855224139041019376531219856633018578929587047279325087956345960800125901586922279078000327728720679111754126698767980992122790174224691922233220209263007735339608540966281028710568995933886655897670983104976492784135199965472113621423646443510941869510311189694215809555055533839553791860854431689309166028019981638882374729172596617712764043171750045863379715859440667369937562995167977486964327308934979165716417226390691648605365419433662414293804450207533538103139167379148897769150063644057335714534559064235294555988133840215566530056106560781307951860181428606577916578471671360376653354396792934198474746733070888786597075835978262524223657525412240093716461040747466724713723993142401607679592727639115072102964123834879099239385945607750024973841592092440840183533594632936804753860692967843033972259840947568470854689598531908299849685895643991299883324651469610021002265100964666887757892890897949540284225719425860087759497810389416625958963011512151989766036346588626855957745946687907985209796090735125021358670062420520620968230681588094245363305183626005618111057998847187173774272973667528897833071365616939941887900377738426562286414178635483983042076795578922262322674041188053189516337016163407106104031132880236118123145719203476179734828554698825630589267820509484838288394602496097592713604234026967082268707120732783675002966667064271778465402332566447699571647277728420321867278105689230735320930742447153289274705783622975781226186837837065988841896088355401863129900253602450489120899079791823551676630100987518179928665849551499470231895652966595882827638167665569455301190195203184606572774438986555600942282649988031313812049669203717503716116573021712915411706326577470574774113410082491671637650423588848394862749221754043291550992856485797912260661531703438314331901092464033622782148253032498180193513476633249044371512335092913249747042489947271925282983625725799184077667599436172330911595020574826548065532122816291184735911575902235410168480191387285595172153425717541969530546257913684486211735919822484509099037438733065263965750119160344013821266886689785379961896240618169221925485763851720249149765428523054167491757959563327958271985033069527553449819826832702179967631231173347815364}
15401  1589336109245332729145390925061245221933161117930356945555016117: {15401,323211,384775,461730,492512,554076,999895,1184491,1199874,1460815,1692130,1705071,1752978,1767895,1829863,2030556,2121474,2198911,2614090,2841415,2874751,3015068,3081531,3136908,3409698,3607015,3630603,3721234,4089218,4307240,4328418,4845645,4900159,4999503,5135215,5168688,5196074,5237419,5597228,5768625,5790343,5814774,5818251,5841740,6006151,6153200,6162258,6354895,6363003,6666674,6711883,6811615,6922350,6922399,7010088,7178511,7317548,7383840,7420015,7625874,7876096,7886349,7996040,8173938,8179615,8262831,8306820,8331415,8793356,8860608,8904018,8995545,9073803,9240098,9472232,9523820,9595248,9613371,9695815,9799042,9815538,9949819,9968184,9997698,10237783,10285759,10452415,10453640,10656261,10794654,11090642,11214207,11428584,11449963,11634978,11757343,11760345,11964139,12010738,12414895,12473132,12542898,12544368,12565551,12686025,12857157,13092674,13200140,13331612,13531760,13619215,13813231,13898811,13975291,13996171,14112414,14765738,14881064,14897874,14971015,15223230,15226671,15436303,15656018,15822933,15840168,16238112,16343058,16357090,16549131,16572811,16741197,16917895,16936178,16986079,17320171,17620652,17700943,17800363,17818760,17820189,17965218,18081122,18228559,18267876,18371756,18482791,18703820,18836825,18989311,19045160,19115263,19453615,19483159,19628508,19846412,19897042,19994530,20046105,20071831,20301474,20787883,20984145,21322411,21382512,21425805,21988219,22046738,22178396,22365740,22383088,22444584,22604190,22854192,23344338,23545303,23604895,23993436,24055326,24111136,24126523,24194540,24370491,24727591,24858141,24943016,24979999,24981125,24988172,24996331,25172360,25180974,25208263,25250157,25326812,25398651,25429090,25655151,25710966,25751239,26181932,26200543,26307391,26678991,26685698,26838888,26909750,27125028,27231463,27302011,27444603,27622858,27788863,27798283,27856171,27953931,28060893,28318905,28325874,28457215,28749895,28957951,29033448,29064074,29223471,29335591,29508151,29593025,29955442,29977350,30193749,30206832,30454172,30514908,30972151,31090664,31296583,31440578,31495340,31933099,31975840,32219474,32291700,32355692,32387983,32662629,32782543,32830615,32835691,32923231,33141298,33262111,33405825,33455863,33556015,33673099,33749103,33813163,33829196,33967714,33982686,34135615,34148658,34444480,34499874,34859215,34976997,35169314,35325130,35488471,35509442,35511630,35514632,35573468,35632880,35972820,36181160,36452362,36738728,36800623,36910573,37168015,37402760,37581931,37794408,37879072,37887415,38190559,38262799,38279383,38371008,38442500,38558858,38750040,38813563,38902090,38986898,39103111,39333451,39396738,39687656,39794530,39918603,39953961,40086990,40159999,40267218,40640863,40649871,40703805,40962738,41067698,41331069,41333376,41798779,41831058,41864331,42078105,42182815,42252236,42275750,42327698,42390156,42461618,42518709,42613956,42759456,42832011,43073391,43124623,43167384,43173778,43201063,43237292,43295018,43417392,43505960,43555503,43593795,44087708,44245930,44317015,44506279,44601618,44648613,44728759,44740111,44743039,44883312,45160412,45236091,45309895,45464898,45593215,45608503,45753991,46027820,46131000,46363051,46500048,46671211,46682508,46908130,47028091,47067943,47430895,47753436,47794090,47807239,47808703,47855631,48024391,48104388,48138763,48246343,48336428,48558415,48563307,48745058,48844566,48944205,49185356,49206400,49331671,49392031,49422871,49542895,50003743,50244895,50385218,50493726,50552671,50619378,50627371,50647016,50730900,50819240,50861263,50935291,51151791,51897375,51910111,51935541,51987631,52207152,52312554,52431211,52559551,52729390,52883371,53016303,53095116,53180418,53207132,53321815,54112960,54157615,54275228,54371874,54425551,54435895,54636411,54711858,54762332,55185871,55233384,55357200,55408615,55723879,55801471,55970012,56016651,56240815,56289756,56535596,56627474,56912505,56917074,56977893,57037831,57171645,57352908,57369074,57475351,57487351,57891074,57900559,58270098,58287405,58434463,58448971,58663498,58668140,58733046,58753803,59047680,59357419,59451474,59572171,59630865,59794178,60293874,60468140,60536456,60649436,60700951,60706672,60877080,60956311,60983088,61066615,61404223,61614751,61767560,61828025,62025895,62137557,62173232,62276850,62436415,62574283,62584978,62709895,62982440,62984192,63001282,63187519,63252482,63275268,63543212,63585452,63606256,63665815,63931303,63970219,63986178,64694551,64935552,64956968,64989138,65019531,65253452,65323074,65707615,65763583,65800652,66130039,66196711,66232930,66428640,66490338,66559503,66581265,66716491,66789163,66964268,67064623,67381111,67419429,67488978,67605991,67830825,68103513,68295006,68416015,68486715,68605974,68690396,68741103,69052040,69321439,69488505,69496028,69743863,69766028,69792674,69944886,70329452,70401768,70436815,70855245,70857216,70989125,71020016,71138863,71140843,71240191,71290401,71503784,71557038,71976703,72159739,72198379,72352880,72561768,72582415,72606091,72650911,72836731,73052496,73076589,73268492,73279938,73464591,73591618,73711148,73834351,74016562,74121072,74193630,74431074,74523531,74723323,74732220,74885522,74901730,74923698,75154018,75168271,75250015,75251874,75327700,75577071,75578928,75704959,75714034,75983948,76219618,76238474,76250216,76253383,76398978,76577815,76659451,76920619,77107628,77170378,77185663,77536040,77683545,77949991,78165895,78577538,78686863,78825895,78849138,78866863,79114231,79139872,79201989,79318231,79337074,79479516,79653442,79658978,79667133,79690951,79714368,79789783,79897518,79942971,79957160,80261225,80353803,80441757,80502962,80624239,80944951,80968431,81284252,81396990,81536143,81631989,81736699,81955820,82099218,82110895,82184058,82369771,82591178,82596572,82862448,83219083,83386206,83407503,83498530,83586514,83804071,83804588,83904391,84493448,84524178,84703231,84815931,84869525,85001228,85026294,85186950,85214239,85267292,85529851,85550674,85668297,85773691,85781493,85792658,85936556,86412603,86431711,86463272,86547965,86667895,86823456,87098898,87198943,87207463,87228045,87563383,87573415,87798351,88095218,88325750,88389003,88781691,89000914,89032356,89279132,89310331,89380231,89445802,89678664,89732396,89882076,89951805,90201031,90300018,90393240,90821119,90836360,90866080,90889963,90919615,91823611,91839794,91855196,91893378,92661511,92764639,92770159,92784705,92955692,93043248,93220254,93235503,93391474,93691063,93799074,94018111,94161931,94254098,94352348,94566730,94591074,94722178,94780389,94841825,95055129,95087551,95413090,95604898,95663240,95675624,95769163,95888215,95948592,96208471,96258730,96307879,96313470,96419456,96520831,96769778,97212332,97271181,97676388,97909015,97963423,97968583,97982263,97995752,98033131,98346984,98454343,98503311,98533074,98706091,98970352,99162091,99280040,99425791,99634090,99703820,99794215,...,23143576396220256233996651318327215927487733930193649753589927280566370516975722552541963746171901794705735699873643309501270575347461745868750706436872965691640841397475540600640172876382951340851074438875136557273252610282836208561529064796829784949527868394380570918987631934518941200188852380383418617000491593081018667631190048151971488184185261337037883349830313894511603009412811449421543065853493900829983846506474657464739176202799948208170432135469665266412804265466784541323714332583300759330687791281647533963749042029972458323562093758894926569146064757625068795069573789161001054906344492751966230446490963402468748574625839586037472908048129150493621440706675311300307154708751068723346653725095466086003571801838596352941833982200760323349795084159841171961927790272142909866874867707507040564980031595189401297712120099606333179895613753967393786335486288118360140574691561121200087070585989713602411519389091458672608154446185752318648859078918411625037460762388138661260275300391949405207130791039451764550958389761421352706282034397797862449774528843465986949824986977204415031503397651447000331636839336346924310426338579138790131639246715584124938938444517268227984649054519882940283936618920031861977814694136102687532038005093630780931452346022382141368044957775439008427166586998270780760661409460501293346749607048425409912831850566607639843429621267953225974563115193368383393484011061782079784274505524245110659156046699320354177184718578805214269602242832048238445883901730764227257432591903744146389070406351040450623403060681099175512504450000596407667698103498849671549357470916592630482800917158533846102981396113670729933912058675434463671839280256755598983262844132533102794694850380403675733681348619687735327514945151481277269892998774327249205347843479449893824241457251498354182951785292804776909859161658479833401413423974982046970718074503805576255574174859532569373117559489866205862161170115123737507456475635383272592294123832631064937326489284728696868390992297555157471497851638696050434173222379548747270290270214949873566557268502639369874620563734920907887924475438588698776116501399154258496367392530862239822098298184224436777103867363853353115252720287080928392758230138576312954295819386870526729317603879733726763648556158099597895948625178740516020731900330034678069942844360927253832888228645777580373724648142784581251237636939344991937407977549604291330174729740249053269951446846760021723046}
15402  1596433281057969630270413237676645826445825895943474123324728787: {169301,292277,430948,445817,523022,615640,629801,660437,692595,707342,738768,813497,831114,1088501,1119017,1259438,1271477,1362857,1575797,1599832,1727657,1799811,2000501,2121557,2176718,2273428,2337304,2538195,2629467,2707408,2828632,3045834,3090398,3182211,3454862,3474617,3653801,3768835,3921135,3981557,4000478,4100501,4108708,4182062,4182544,4249001,4522602,4546264,4693301,4705362,4840804,5087822,5114547,5253497,5268542,5384050,5581851,5771224,5840057,6133827,6277877,6460860,6481577,6492627,6666004,6888542,6891584,6916757,6996535,7148117,7246958,7302175,7604798,7691500,7753032,7757668,7781717,7794111,7962062,8140478,8216344,8288203,8395842,8468501,8484004,8722161,8762610,8852702,9146935,9150677,9229800,9243387,9320501,9346784,9490037,9562622,9571348,9743801,9845120,9995050,10000011,10167832,10383525,10446782,10515132,10557077,10752377,10898584,10976322,10991695,11017108,11075760,11252777,11308217,11438811,11503022,11805737,11814144,11833301,11840290,11872024,11904775,11994060,12098404,12218357,12260907,12410297,12460230,12492437,12793664,12817828,12820277,12903278,13020931,13067050,13087384,13190034,13251902,13290912,13330264,13356027,13425998,13607801,13769897,13773758,13860147,14012501,14173877,14208348,14281301,14285730,14392872,14576057,14698563,14723307,14843177,14952276,14986382,14996547,15159038,15215801,15238112,15503918,15513304,15591415,15680460,15850937,16191981,16402901,16429097,16500175,16535102,16635963,16664515,16723864,16725824,16754068,16795001,16877678,16914700,17142876,17390462,17418617,17452467,17677097,17806037,18016107,18242222,18531748,18575477,18601001,18601330,18709698,18814347,18816552,18921038,19090382,19259582,19261817,19428638,19585202,19639011,19800210,19863832,19934942,19997418,20092757,20103422,20297640,20302228,20492501,20607998,20617001,20716457,20840597,21097244,21120224,21137717,21168621,21384437,21650816,21728501,21780302,21790744,21825139,22025815,22065508,22148607,22241657,22273450,22280558,22321596,22339001,22346811,22613342,22834845,22964695,23209337,23379775,23401337,23484027,23545001,23568917,23608238,23688377,23760252,23806450,23926697,23953624,24282677,24353657,24357168,24433358,24514587,24535635,24613301,24808015,24926702,25090862,25404267,25409717,25526057,25582478,26035577,26171344,26242901,26398958,26430978,26728140,26838197,26947827,27068632,27121683,27204331,27401814,27518357,27535982,27557634,27722995,27810857,27957175,27978860,28055730,28057301,28182542,28414037,28510016,28525097,28567740,28613801,29148062,29442762,29471957,29515637,29602901,29628878,29769618,29845563,29926112,29929001,29991795,30058937,30138920,30231737,30243175,30452211,30472256,30554357,31075303,31125784,31130537,31178770,31194197,31235215,31380782,31448117,31465450,31658515,31991248,32073768,32146387,32286197,32493988,32727415,32762297,32801198,33070107,33070517,33144188,33213737,33267594,33499001,33548610,33574632,33666876,33864868,33883637,33897902,33906285,33923957,34185257,34206868,34281288,34285397,34425257,34604501,34676942,34726699,34783097,35016507,35177657,35197301,35295401,35314939,35471477,35571988,35607977,35785184,35879801,35990154,36082989,36166704,36291810,36592804,36913577,37145678,37215401,37271908,37309301,37342591,37414524,37421717,37482258,37758540,37767832,37771461,37942517,37990218,38067715,38143635,38329001,38366222,38566449,38711264,38711957,38863330,38964628,38965301,39272898,39369175,39520697,39574037,39945401,39969800,40028547,40029422,40191017,40208501,40258332,40275776,40364625,40444615,40452437,40469801,40686544,40687542,40729301,41089577,41225897,41327801,41344757,41377262,41395577,41434287,41526302,41648597,41675198,41730403,41983157,42248501,42269342,42286495,42331001,42488811,42593657,42675317,42967637,43055600,43064501,43156238,43305401,43450718,43550172,43596111,43844777,44126407,44184398,44266517,44316139,44393290,44466835,44482901,44498297,44541100,44622878,44933163,44941301,44966025,44998804,45001877,45060062,45092501,45226450,45310248,45531544,45630197,45681258,45748277,45772362,45923410,45968297,45982901,45999832,46143017,46273301,46546217,46635996,46753450,46759637,46795838,47083118,47160867,47243010,47250617,47264501,47333801,47347637,47348840,47416697,47540501,47622677,47663657,47963760,48053125,48329211,48437550,48468137,48533538,48560117,48652862,48820757,49014137,49142057,49180277,49370297,49501742,49609570,49707797,49711947,49819001,49990697,50064782,50075957,50136617,50172917,50245301,50392544,50602901,50743794,50765342,50825657,50895401,50951571,50964857,50974029,51161344,51222987,51296501,51323198,51398057,51476597,51601262,51666720,51698837,51749811,51841577,51863417,52017278,52026197,52069301,52325237,52431998,52441001,52528984,52534997,52545401,52607657,52753971,52815295,52944917,52969399,52987695,53095337,53118338,53120318,53214377,53224804,53264163,53267445,53271948,53351801,53360202,53449320,53554997,53583737,53650517,53668382,53689624,53697977,53959230,53978537,54046615,54199828,54271740,54332501,54368117,54382450,54401578,54465401,54544277,54596501,54616984,54678543,54734357,54759977,54777017,54853301,55028462,55108092,55109635,55111097,55111168,55135637,55163678,55176377,55233077,55463801,55568462,55611317,55626677,55655474,55695401,55774744,55819108,55882901,55949177,55993001,56104140,56144117,56200757,56347001,56449301,56450515,56520208,56589497,56674517,56691612,56713301,56775038,56809001,56818608,56837347,56939957,57012608,57049397,57061397,57109348,57115001,57138617,57254777,57339797,57373301,57431188,57461237,57488297,57504437,57509801,57534775,57541817,57556512,57574099,57584057,57663750,57742901,57787577,57797417,57838287,57889856,57987497,58010357,58028501,58051001,58074004,58090997,58125060,58134677,58223801,58281257,58309397,58321337,58353135,58365662,58368377,58421801,58455317,58480347,58480937,58498997,58545017,58603157,58754837,58772501,58789877,58832057,58867157,58891262,58954937,58978217,59011637,59047337,59065301,59095107,59151737,59161001,59169977,59181497,59210537,59242901,59273717,59275817,59282297,59285801,59289017,59302037,59302697,59305397,59468824,59531484,59675342,59691795,59844416,60130485,60195182,60314788,60400827,60420535,60619864,61356398,61444107,61481695,61484702,61508000,61601547,62000064,62142514,62243344,62251502,62378798,62565811,62746587,62759822,63195154,63265838,63308770,63378354,63391982,63413625,63491547,63524050,63585234,63643838,63652303,63671248,63692427,63807508,63920934,64020542,64139184,64751076,64760667,64855938,64942527,65126088,65258940,66130718,66131562,66368895,66376238,66508915,66718939,66743438,66902427,67324968,67492504,67496234,67641200,67716302,67740618,67844035,68197347,68202388,68319662,68452915,68799758,69041730,69158318,69196500,69247388,69396638,69609536,69634382,69750072,69962515,70023762,70344158,70362195,70620682,70669495,70688404,70793488,70907224,71630154,71691135,71748158,72156582,72442382,72495832,72504642,72557582,72672638,72848548,72949144,73016942,73117587,73266849,73335175,73644512,73701662,73778034,73782643,73809600,73931767,74381198,74675458,74688868,74831342,75053008,75577827,75585175,75655363,75670570,75740589,75811795,75883340,75889432,75929067,75970524,76096350,76228860,76470544,76608878,76938062,77209450,77693464,77716540,78018967,78133982,78310728,78338404,78468831,78728050,78730240,78992798,79094085,79099502,79268632,79429015,79481815,79507820,79642674,79770627,79810698,79842398,80368718,80391832,80891438,81169440,81196210,81310784,81410558,81412842,81557811,81566815,81823262,82067787,82143498,82250815,82641758,82743422,82850076,83035800,83148638,83705335,83716171,83852222,83955018,84281359,84367024,84434634,84803394,84845102,84941211,85238222,85314904,85336142,85375611,85746283,85862995,86029362,86053611,86315050,86580736,86595998,86599058,86652184,86692708,86836611,86870035,86883278,87097432,87207535,87405147,87643022,87831518,87911815,87995247,88002210,88099569,88206782,88486718,88571520,88653784,88746004,88775020,88950398,89177211,89379730,89410478,89691267,89866958,89892572,89957822,89985304,90139118,90440811,90441100,90702210,90804684,90974154,91036958,91060008,91214798,91303502,91315620,91474632,91585615,91654804,91920398,92138935,92356718,92651340,93047342,93218558,93259848,93415275,93474302,93869024,93877467,94159625,94473660,94476288,94484318,94501923,94650638,94878723,94912902,94979935,95053868,95228222,95312770,95314818,95378178,95409384,95821579,95979267,96384535,96442142,96749024,96760382,96920050,97076318,97403328,97435452,97467998,97483707,97623662,97706584,97880178,97952788,97984611,98317022,98697182,98700978,98828096,98924840,99241432,99349395,99364708,99642960,99735507,99898264,99946450,...,34715364594330384350994976977490823891231600895290474630384890920849555775463583828812945619257852692058603549810464964251905863021192618803126059655309448537461262096213310900960259314574427011276611658312704835909878915424254312842293597195244677424291802591570856378481447901778411800283278570575127925500737389621528001446785072227957232276277892005556825024745470841767404514119217174132314598780240851244975769759711986197108764304199922312255648203204497899619206398200176811985571498874951138996031686922471300945623563044958687485343140638342389853719097136437603192604360683741501582359516739127949345669736445103703122861938759379056209362072193725740432161060012966950460732063126603085019980587643199129005357702757894529412750973301140485024692626239761757942891685408214364800312301561260560847470047392784101946568180149409499769843420630951090679503229432177540210862037341681800130605878984570403617279083637188008912231669278628477973288618377617437556191143582207991890412950587924107810696186559177646826437584642132029059423051596696793674661793265198980424737480465806622547255096477170500497455259004520386465639507868708185197458870073376187408407666775902341976973581779824410425904928380047792966722041204154031298057007640446171397178519033573212052067436663158512640749880497406171140992114190751940020124410572638114869247775849911459765144431901929838961844672790052575090226016592673119676411758286367665988734070048980531265777077868207821404403364248072357668825852596146340886148887855616219583605609526560675935104591021648763268756675000894611501547155248274507324036206374888945724201375737800769154472094170506094900868088013151695507758920385133398474894266198799654192042275570605513600522022929531602991272417727221915904839498161490873808021765219174840736362185877247531274427677939207165364788742487719750102120135962473070456077111755708364383361262289298854059676339234799308793241755172685606261184713453074908888441185748946597405989733927093045302586488446332736207246777458044075651259833569323120905435405322424810349835902753959054811930845602381361831886713157883048164174752098731387744551088796293359733147447276336655165655801045780029672879080430621392589137345207864469431443729080305790093976405819600590145472834237149396843922937768110774031097850495052017104914266541390880749332342968666370560586972214176871876856455409017487906111966324406436995262094610373579904927170270140032584569}
15403  1603561893752714596046029764132308830212885102246379017955871861: {30802,538685,646422,769550,784533,923460,985024,1061013,1108152,1246671,1399853,1889157,1999790,2045141,2368982,2399748,2475053,2598713,2841785,2921630,3212957,3265077,3384260,3397433,3410142,3505956,3535790,3659726,3977981,4061112,4242948,4397822,4568751,4635597,5049821,5135885,5182293,5228180,5238101,5682830,5749502,5791097,6000717,6030136,6051005,6163062,6189677,6273093,6273816,6712757,6783903,6819396,7058043,7189301,7214030,7260077,7261206,7442468,7631733,7902813,8076075,8178436,8181017,8332505,8614480,8656836,8896853,9536261,9614375,9654521,9691290,9697085,9800318,9999006,10270430,10287101,10332813,10337376,10388021,10392148,10474838,10605005,10870437,10943837,11194456,11407197,11451461,11537250,11580686,11629548,11636502,11663981,11683480,11758877,11943093,11964185,12012302,12155897,12210717,12301157,12306400,12324516,12593763,12709790,12726006,13143915,13279053,13306997,13333348,13423766,13574141,13623230,13771385,13844700,13844798,14020176,14139437,14343933,14357022,14633381,14635096,14767680,14840030,14992575,15123005,15251748,15438317,15670173,15752192,15772698,15992080,16022285,16347876,16359230,16464483,16516253,16525662,16613640,16662830,17254533,17322437,17380853,17448341,17586712,17721216,17760435,17808036,17991090,18147606,18480196,18690345,18944464,19003433,19047640,19066901,19117757,19190496,19226742,19354917,19391630,19485701,19598084,19600575,19631076,19785051,19877853,19899638,19936368,19995396,20074457,20138997,20433557,20469293,20475566,20557301,20571518,20657237,20660637,20904830,20907280,20942585,20959421,20985401,21143375,21312522,21428595,21492557,21589308,22181284,22428414,22441913,22479573,22738557,22857168,22899926,23164685,23255877,23269956,23514686,23520690,23597333,23685053,23928278,24021476,24802653,24829790,24946264,25085796,25088736,25131102,25169117,25199213,25211561,25315301,25316517,25372050,25377785,25700453,25714314,25986077,26085693,26185348,26371555,26400280,26639741,26663224,27007397,27063520,27088697,27235061,27238430,27363333,27581885,27626462,27797622,27901995,27950582,27992342,28007477,28064547,28173941,28224828,28308281,28381557,28635573,28889373,29142957,29377803,29521817,29531476,29700315,29741501,29762128,29795748,29902413,29942030,29996127,30028793,30155133,30446460,30453342,30872606,30911997,30947573,31058141,31090553,31312036,31645866,31680336,32266013,32267477,32476224,32670453,32686116,32714180,32786837,32944181,33046853,33098262,33145622,33257477,33410175,33415181,33420837,33482394,33835790,33872356,33920013,33972158,34223033,34621637,34640342,34884653,34973575,35241304,35401886,35412357,35600726,35637520,35640378,35709675,35930436,36162244,36191213,36457118,36535752,36650037,36743512,36965582,37390053,37407640,37636293,37673650,37739117,37926221,37978622,38090320,38230526,38284397,38373717,38907230,38909273,38966318,39257016,39338597,39598437,39646467,39692824,39794084,39840101,39989060,40092210,40129277,40143662,40249853,40602948,40617485,41102721,41303973,41336451,41430235,41575766,41968290,42083595,42273813,42331085,42644822,42758585,42765024,42851610,42974201,43703477,43722093,43976438,44093476,44164143,44356792,44443317,44464985,44654427,44683901,44731480,44766176,44889168,45075701,45134297,45208380,45422141,45614477,45708384,45741005,45759977,45962861,46589885,46677317,46688676,46768155,46978421,47071173,47090606,47198175,47209790,47461817,47789861,47813501,47985893,47986872,48110652,48145061,48222272,48253046,48283541,48389080,48705785,48725477,48740982,48753917,48802901,49201797,49398557,49429337,49455182,49716282,49848233,49886032,49901391,49959998,49962250,49976344,49992662,50307161,50322915,50344720,50361948,50416526,50500314,50653624,50797302,50846853,50858180,51310302,51377621,51421932,51502478,51573677,52015413,52035221,52363864,52401086,52614782,52878137,53042381,53357982,53371396,53452277,53677776,53819500,53985231,54250056,54437715,54462926,54523613,54604022,54800441,54837101,54889206,55135397,55245716,55577726,55578653,55596566,55676375,55712342,55718517,55907862,56121786,56223387,56248505,56637810,56651748,56723501,56844941,56914430,56985327,57048533,57499790,57549333,57915902,58066896,58128148,58167293,58294995,58442117,58446942,58671182,58909347,59016302,59055941,59106713,59186050,59910884,59954700,60044133,60196253,60387498,60389981,60410381,60413664,60828557,60908344,61029816,61031313,61348313,61893701,61944302,62043821,62065893,62115833,62181328,62289453,62512797,62589197,62593166,62881156,62990680,63273437,63404013,63433853,63661973,63830501,63866198,63939677,63951680,64237157,64438757,64438948,64583400,64711384,64734357,64775966,65176077,65325258,65565086,65638997,65661230,65671382,65772197,65846462,65947193,66138701,66269837,66276597,66282596,66403253,66524222,66531005,66589935,66811650,66911726,66934317,67112030,67346198,67408517,67415093,67498206,67590093,67626326,67658392,67749785,67839675,67935428,67965372,67981781,67992857,68271230,68297316,68521887,68542541,68658543,68885115,68888960,68999748,69283001,69360053,69565781,69718430,69773885,69953994,70130175,70149677,70193757,70338628,70342853,70624677,70650260,70864515,70976942,71018884,71023260,71029264,71146936,71265760,71386685,71788985,71945640,72362320,72592505,72656325,72800307,72817433,72904724,72979293,73477456,73552397,73601246,73821146,74252613,74336030,74414355,74650541,74651333,74805520,75097173,75163862,75393485,75559637,75588816,75758144,75774830,75820661,76033397,76115691,76148013,76210253,76381118,76525598,76558766,76742016,76885000,76984797,77117716,77256317,77401893,77500080,77572061,77627126,77804180,77973796,78025917,78206222,78312461,78647997,78666902,78737141,78793476,79087397,79375312,79508141,79589060,79677507,79680477,79748057,79759385,79837206,79907922,80040303,80173980,80203433,80319998,80502573,80534436,80938845,81198077,81281726,81299742,81407610,81512237,81573675,81602367,81925337,81925476,82135396,82542693,82662138,82666752,82745517,83187413,83352693,83483211,83597558,83662116,83728662,83891321,83915477,84011597,84156210,84192953,84305957,84365630,84504472,84551500,84655396,84780312,84923236,85037418,85162557,85227912,85252985,85325357,85493261,85518912,85541357,85664022,86079773,86146782,86249246,86334768,86347556,86402126,86474584,86495625,86559235,86590036,86834784,86836253,87011920,87111006,87187590,87410981,87548493,87793853,87944141,88047257,88175416,88336893,88360505,88378301,88491860,88634030,89012558,89066357,89132141,89203236,89297226,89457518,89469497,89480222,89486078,89513013,89766624,90292773,90320824,90472182,90597533,90619790,90929796,91060685,91186430,91217006,91507982,91990661,92034597,92055640,92227053,92262000,92619557,92726102,93000096,93090701,93213771,93342422,93361085,93365016,93377253,93568197,93602237,93816260,93899801,93914621,94056182,94135886,94139733,94668317,94792731,94854175,94861790,94898757,94963155,95067531,95087973,95197433,95286075,95377851,95465757,95506872,95588180,95614478,95617406,95711262,95782421,95881401,96030813,96048782,96208776,96277526,96492686,96597917,96672856,97116830,97126614,97145675,97250393,97283907,97346093,97490116,97689132,97888410,97923005,98370712,98412800,98611541,98663342,98784062,98845742,99020777,99085790,99168101,99196077,99197343,99384775,99412661,99564357,99654797,99935237,...,46287152792440512467993302636654431854975467860387299507179854561132741033951445105083927492343803589411471399747286619002541150694923491737501412873745931383281682794951081201280345752765902681702148877750273114546505220565672417123058129593659569899055736788761141837975263869037882400377704760766837234000983186162037335262380096303942976368370522674075766699660627789023206018825622898843086131706987801659967693012949314929478352405599896416340864270939330532825608530933569082647428665166601518661375582563295067927498084059944916647124187517789853138292129515250137590139147578322002109812688985503932460892981926804937497149251679172074945816096258300987242881413350622600614309417502137446693307450190932172007143603677192705883667964401520646699590168319682343923855580544285819733749735415014081129960063190378802595424240199212666359791227507934787572670972576236720281149383122242400174141171979427204823038778182917345216308892371504637297718157836823250074921524776277322520550600783898810414261582078903529101916779522842705412564068795595724899549057686931973899649973954408830063006795302894000663273678672693848620852677158277580263278493431168249877876889034536455969298109039765880567873237840063723955629388272205375064076010187261561862904692044764282736089915550878016854333173996541561521322818921002586693499214096850819825663701133215279686859242535906451949126230386736766786968022123564159568549011048490221318312093398640708354369437157610428539204485664096476891767803461528454514865183807488292778140812702080901246806121362198351025008900001192815335396206997699343098714941833185260965601834317067692205962792227341459867824117350868927343678560513511197966525688265066205589389700760807351467362697239375470655029890302962554539785997548654498410695686958899787648482914502996708365903570585609553819718323316959666802826847949964093941436149007611152511148349719065138746235118979732411724322340230247475014912951270766545184588247665262129874652978569457393736781984595110314942995703277392100868346444759097494540580540429899747133114537005278739749241127469841815775848950877177397552233002798308516992734785061724479644196596368448873554207734727706706230505440574161856785516460277152625908591638773741053458635207759467453527297112316199195791897250357481032041463800660069356139885688721854507665776457291555160747449296285569162502475273878689983874815955099208582660349459480498106539902893693520043446092}
15404  1610722085507964699418975007592647069313892151226291602514382079: {46203,200083,338602,476563,584554,660523,861896,891634,969633,1046044,1119163,1154325,1231280,1259602,1320874,1385190,1414684,1477536,1484779,1626994,1662228,1940179,2177002,2238034,2484283,2518876,2542954,2725714,2999685,3151594,3199664,3205723,3455314,3553473,3599622,4001002,4230325,4243114,4279243,4353436,4382445,4546856,4674608,4723483,4989163,5076390,5115213,5258934,5276369,5303685,5414816,5489589,5606563,5657264,6091668,6180796,6307843,6364422,6535225,6596733,6830779,6909724,6949234,7307602,7537670,7842270,7963114,8000956,8201002,8217416,8364124,8365088,8498002,8524245,8555179,8624253,8981779,9045204,9092528,9244593,9303085,9386602,9410724,9681608,9795149,9913963,10166683,10175644,10223045,10229094,10506994,10537084,10768100,10821045,10891809,11004403,11163702,11542448,11680114,11834923,12267654,12412003,12555754,12805709,12921720,12963154,12985254,12990185,13332008,13777084,13783168,13833514,13960579,13993070,14296234,14363779,14493916,14536935,14604350,14700477,14998509,15209596,15244483,15383000,15388373,15405645,15506064,15515336,15563434,15588222,15712257,15924124,16037563,16280956,16431403,16432688,16576406,16666685,16791684,16937002,16968008,17305875,17371029,17444322,17446963,17454753,17525220,17705404,18018453,18293870,18296779,18301354,18459600,18486774,18603643,18641002,18693568,18980074,19064685,19089009,19125244,19142696,19487602,19690240,19990100,20000022,20135649,20335664,20434845,20495443,20644843,20767050,20767197,20893564,21030264,21114154,21239563,21504754,21535533,21797168,21827981,21952644,21983390,22034216,22049779,22151520,22260045,22505554,22616434,22877622,23006044,23100245,23212723,23330321,23572363,23611474,23628288,23659047,23666602,23680580,23744048,23809550,23988120,24196808,24215179,24436714,24497605,24521814,24538845,24788493,24820594,24920460,24984874,24994245,25273579,25587328,25635656,25640554,25806556,26041862,26134100,26174768,26380068,26503804,26581824,26659579,26660528,26712054,26728123,26851996,26986635,27215602,27221409,27539794,27547516,27720294,27726605,28025002,28083883,28347754,28351579,28416696,28562602,28571460,28785744,28840113,29087445,29152114,29279443,29397126,29446614,29686354,29849457,29904552,29972764,29993094,30026845,30257923,30318076,30431602,30476224,30580483,30713349,30836141,30857277,30901243,31007836,31026608,31182830,31357245,31360920,31600579,31701874,31968783,32150573,32383962,32731685,32788003,32805802,32858194,33000350,33070204,33271926,33329030,33447728,33451648,33508136,33590002,33642621,33755356,33767779,33829400,34130443,34285752,34349889,34370779,34731221,34780924,34837234,34904934,34966579,35202883,35272029,35281035,35320603,35354194,35612074,35788603,35846779,35892417,36032214,36136579,36424579,36484444,36767803,36914345,36938443,37063496,37150954,37202002,37202660,37244685,37419396,37628694,37633104,37696653,37781923,37842076,38058075,38180764,38519164,38523634,38571471,38718283,38812193,38857276,39140045,39170404,39278022,39600420,39727664,39869884,39994836,40004779,40185514,40206844,40215163,40476523,40595280,40604456,40857645,40892725,40985002,41096443,41215996,41234002,41351683,41432914,41439693,41681194,41696433,41735837,41806579,41925873,41988513,42006883,42194488,42240448,42255643,42275434,42337242,42340445,42354643,42744097,42768874,43087963,43301632,43457002,43520179,43560604,43581488,43650278,43729301,44051630,44131016,44132153,44297214,44321921,44483314,44506003,44546900,44561116,44643192,44678002,44690179,44693622,44913045,44918779,45202805,45226684,45370579,45669690,45680013,45771043,45818381,45929390,45991003,46295923,46308909,46418674,46725403,46759550,46802674,46968054,47090002,47137834,47216476,47272963,47356123,47376754,47468799,47520504,47562763,47612900,47853394,47907248,48131779,48565354,48707314,48714336,48725779,48826261,48866716,49029174,49071270,49151083,49226602,49317749,49492579,49616030,49647393,49718433,49742605,49853404,49986325,50012203,50181724,50223591,50753685,50808534,50819434,50958237,51052114,51164956,51486403,51752803,51960513,52071154,52342688,52485802,52555603,52797916,52861956,53102829,53195179,53294801,53401089,53456280,53460567,53676394,53895654,54137264,54163363,54190579,54243366,54408662,54485203,54564043,54685677,54803628,54998563,55036714,55071964,55115268,55116845,55244443,55445990,55448373,55483123,55621714,55668883,55914350,55916779,55957720,56111460,56114602,56365084,56447779,56510475,56622461,56647579,56821243,56828074,56952283,56967933,57020032,57050194,57115579,57135480,57203779,57227602,57273043,57290179,57345789,57358003,57457579,57522523,57617779,57829963,58261963,58296124,58298683,58360845,58439083,58449477,58472563,58548163,58579483,58650043,58771723,58865179,58885524,58943914,59031274,59081683,59104579,59110123,59197603,59201093,59205802,59225323,59236123,59257756,59270179,59293579,59320363,59320579,59539236,59691126,59852224,59858002,59983590,60117874,60138315,60215493,60277840,60463474,60486350,60904422,60944512,61108714,62150606,62251568,62253569,62261074,62357540,62363649,62388394,62470430,62761564,62896234,62930900,62952435,63317030,63572725,63967233,63982496,64147536,64277415,64292774,64572394,64987976,65454830,65524594,65602396,65964657,66140214,66141034,66288376,66427474,66535188,66714245,66998002,67097220,67149264,67274375,67333752,67729736,67767274,67795804,67812570,67847914,68042117,68370514,68413736,68562576,68570794,68850514,69057145,69209002,69353884,69453398,69566194,70033014,70355314,70394602,70590802,70629878,70635909,70814685,70942954,71143976,71215954,71570368,71759602,71980308,72165978,72333408,72379569,72583620,72660185,73111473,73185608,73827154,73941413,74182773,74291356,74430802,74543816,74574423,74618602,74685182,74829048,74843434,74888605,74939997,74943375,74964516,74988993,75225449,75517080,75535664,75542922,75624789,75665261,75750471,75885034,75980436,76135430,76195953,76287270,76658002,76732444,76965453,77132898,77153489,77253717,77422528,77423914,77726660,77929256,77930602,78545796,78601445,78601629,78738350,78922173,79030721,79041394,79148074,79890802,79939600,80036973,80057094,80058844,80382034,80417002,80516664,80548685,80551552,80729250,80889230,80904874,80939602,81373088,81375084,81458602,81694389,81906033,82179154,82333809,82451794,82655602,82689514,82754524,82791154,82853245,82868574,83052604,83297194,83350396,83366589,83394849,83460806,83568513,83861793,83966314,84182679,84497002,84538684,84572990,84588749,84662002,84919285,84956715,84977622,85187314,85350634,85371645,85935274,86074373,86111200,86129002,86249685,86312476,86610802,86873853,86901436,87100344,87192222,87197669,87670413,87689554,87923285,88006773,88252814,88312825,88368796,88524453,88533034,88632278,88773605,88779075,88786580,88933670,88965802,88996594,89082200,89245756,89866326,89882602,89932050,89997608,90003754,90120124,90185002,90452900,90581247,90620496,91063088,91130905,91260394,91362516,91496554,91544724,91846820,91936594,91965802,91999664,92286034,92546602,92916453,93092434,93112481,93271992,93506900,93519274,93591676,93889749,94166236,94196813,94321734,94486020,94501234,94529002,94667602,94695274,94697680,94833394,94981649,95081002,95245354,95327314,95799297,95834081,95927520,96106250,96397145,96658422,96875100,96936274,97067076,97120234,97163949,97255225,97305724,97467245,97641514,97947521,97987887,98028274,98284114,98304877,98347629,98360554,98491845,98507073,98740594,98769693,98937293,99003484,99219140,99415594,99423894,99486325,99638002,99786333,99981394,...,69430729188660768701989953954981647782463201790580949260769781841699111550927167657625891238515705384117207099620929928503811726042385237606252119310618897074922524192426621801920518629148854022553223316625409671819757830848508625684587194390489354848583605183141712756962895803556823600566557141150255851001474779243056002893570144455914464552555784011113650049490941683534809028238434348264629197560481702489951539519423972394217528608399844624511296406408995799238412796400353623971142997749902277992063373844942601891247126089917374970686281276684779707438194272875206385208721367483003164719033478255898691339472890207406245723877518758112418724144387451480864322120025933900921464126253206170039961175286398258010715405515789058825501946602280970049385252479523515885783370816428729600624603122521121694940094785568203893136360298818999539686841261902181359006458864355080421724074683363600261211757969140807234558167274376017824463338557256955946577236755234875112382287164415983780825901175848215621392373118355293652875169284264058118846103193393587349323586530397960849474960931613245094510192954341000994910518009040772931279015737416370394917740146752374816815333551804683953947163559648820851809856760095585933444082408308062596114015280892342794357038067146424104134873326317025281499760994812342281984228381503880040248821145276229738495551699822919530288863803859677923689345580105150180452033185346239352823516572735331977468140097961062531554155736415642808806728496144715337651705192292681772297775711232439167211219053121351870209182043297526537513350001789223003094310496549014648072412749777891448402751475601538308944188341012189801736176026303391015517840770266796949788532397599308384084551141211027201044045859063205982544835454443831809678996322981747616043530438349681472724371754495062548855355878414330729577484975439500204240271924946140912154223511416728766722524578597708119352678469598617586483510345371212522369426906149817776882371497893194811979467854186090605172976892665472414493554916088151302519667138646241810870810644849620699671805507918109623861691204762723663773426315766096328349504197462775489102177592586719466294894552673310331311602091560059345758160861242785178274690415728938862887458160611580187952811639201180290945668474298793687845875536221548062195700990104034209828533082781761498664685937332741121173944428353743753712910818034975812223932648812873990524189220747159809854340540280065169138}
15405  1617913995104562805118104547674875632236749446046763833526240943: {61604,507903,754159,876831,1077370,1292844,1307555,1337451,1539100,1569066,1768355,1846920,1861343,1889403,1970048,1981311,2077785,2122026,2216304,2440491,2493342,2799706,2875499,3148595,3265503,3357051,3778314,3797131,3814431,3978499,3999580,4088571,4090282,4727391,4737964,4799496,4950106,5182971,5197426,5399433,5441795,5683570,5843260,6001503,6190483,6364671,6425914,6530154,6768520,6794866,6820284,7011912,7071580,7190239,7319452,7571987,7614585,7725995,7888401,7955962,8122224,8124911,8471407,8485896,8580091,8637155,8795644,9137502,9271194,9546633,10001195,10099642,10271770,10364586,10423851,10455155,10456360,10476202,10790347,10961403,11306505,11365660,11499004,11582194,11665507,11763405,11944671,12001434,12060272,12102010,12157483,12301503,12326124,12379354,12546186,12547632,12719555,12747003,13171355,13425514,13460125,13567806,13575919,13638792,14079903,14116086,14378602,14428060,14520154,14522412,14537731,14847007,14884936,15263466,15343641,15374987,15726451,15760491,15805626,16152150,16356872,16362034,16665010,16745553,16749859,17221355,17228960,17313672,17520171,17793706,17992799,18117395,18401481,18686051,18833631,19011995,19072522,19228750,19279939,19309042,19382580,19394170,19444731,19477881,19501087,19600636,19905155,19998012,20351195,20436223,20471971,20540860,20574202,20665626,20674752,20750271,20776042,20784296,20893427,20949676,20988139,20989605,21172207,21210010,21239131,21444351,21740874,21887674,21906525,21993983,22131755,22388912,22431199,22814394,22902922,22975807,23074500,23147387,23161372,23259096,23273004,23327962,23345151,23366960,23382333,23517754,23886186,23906555,23928370,24024604,24311794,24421434,24602314,24612800,24649032,24864609,24987625,25187526,25405503,25419580,25452012,26116955,26166483,26247779,26287830,26558106,26613994,26666696,26847532,27148282,27246460,27440805,27452031,27542770,27689400,27689596,27730161,27961503,27971999,28040352,28177627,28278874,28324831,28470111,28687866,28714044,28757555,28956883,29205791,29231403,29266762,29270192,29319619,29535360,29600725,29680060,29918083,29985150,30000033,30246010,30503496,30876634,31150575,31340346,31504384,31545396,31638667,31671231,31792639,31984160,32044570,32257131,32258195,32430559,32667625,32695752,32718460,32928966,32975085,33032506,33051324,33129755,33227280,33325660,33564995,33758331,33924651,34316433,34434395,34509066,34547899,34644874,34761706,34896682,35173424,35417211,35442432,35499903,35520870,35528899,35616072,35714325,35982180,36295212,36655071,36782721,36819967,36920177,36960392,37230891,37380690,37465955,37477311,37888928,37897595,38006866,38095280,38133802,38134291,38235514,38380992,38453484,38460831,38614639,38709834,38759795,38783260,38857643,38971402,39062793,39196168,39201150,39262152,39304291,39455747,39570102,39684131,39755706,39799276,39872736,39990792,40068081,40148914,40277994,40823403,40867114,40938586,40951132,41114602,41143036,41309691,41314474,41321274,41337755,41580441,41809660,41814560,41885170,41918842,41970802,42037503,42194195,42286750,42424127,42521631,42625044,42792299,42843903,42857190,42974891,42985114,43178616,43476155,43728171,43773983,44095689,44169921,44362568,44529531,44689747,44856828,44883826,44959146,44989641,45477114,45605555,45647403,45714336,45799852,45937939,46329370,46503325,46511754,46539912,46774245,47029372,47041380,47194666,47302595,47370106,47379707,47552811,47725955,47856556,47992171,48042952,48148955,48571595,48575943,48670523,48760303,48963005,49208703,49287291,49500525,49605306,49659580,49837355,49892528,49907889,49993545,50016851,50171592,50177472,50258555,50262204,50338234,50385003,50398426,50423122,50630602,50633034,50744100,50755570,51012719,51400906,51428628,51519995,51598943,51972154,52171386,52203491,52255851,52357401,52370696,52573499,52743110,52800560,53031291,53214047,53271283,53279482,53326448,53418111,54014794,54048321,54127040,54177394,54450755,54470122,54476860,54726666,54807619,55163770,55252924,55595244,55683625,55701395,55712731,55726431,55803003,55803990,55901164,55984684,56014954,56129094,56347882,56443041,56449656,56533355,56616562,56763114,56864479,57271146,57422047,57778746,57785451,58002329,58285914,58506299,58755606,58917033,59020595,59043634,59062952,59263519,59400630,59483002,59516125,59524256,59591496,59804826,59862019,59884060,59992254,60057586,60278271,60310266,60892920,60906684,61083395,61477503,61539547,61550387,61745212,61823994,61851003,61895146,62116282,62149371,62181106,62250979,62316755,62437099,62521791,62624072,62727155,63204083,63291732,63360672,63413151,63505863,63870227,63956195,64037407,64153311,64532026,64534954,64589579,64807483,64952448,65185503,65225839,65340906,65372232,65428360,65475417,65573674,65795867,65888362,65997395,66077445,66093706,66107339,66196524,66291244,66445821,66514954,66724971,66820350,66830362,66841674,66964788,67017003,67040433,67168331,67582111,67671580,67744712,67840026,67944316,68001763,68188099,68446066,68504535,68551519,68839955,68894085,69243274,69280684,69628011,69769306,69947150,70139325,70204011,70452081,70456355,70482608,70635003,70706751,70803772,70824714,71065131,71201452,71275040,71280756,71419350,71617459,71780091,71860872,71995571,72166139,72324488,72382426,72848031,72856223,72870155,72914236,73060971,73071504,73300074,73487024,73543761,73606905,73839903,73931164,73969051,74061139,74072195,74424045,74742911,74780106,74815280,75272586,75347300,75478234,75852442,75957244,76180640,76212801,76229151,76461052,76568794,76578171,76747434,76940783,77814460,77818546,77932636,77946925,78106731,78451955,78514032,78663625,78677194,78728703,78747907,79196874,79292934,79385648,79588168,79664611,79680202,79712099,79978120,80184420,80258554,80287324,80499706,80514591,80765887,80843481,81183491,81205896,81234970,81315211,81365049,81612993,81816443,82002995,82205442,82391903,82555071,82607946,82672902,82860470,83151532,83168985,83432571,83871525,83936580,84167190,84171903,84547626,84662170,84744755,85017379,85242111,85247923,85289644,85517170,85530048,85530059,85575291,85703220,85841403,85948402,86692355,87351263,87406954,87444186,87952876,88186952,88328286,88415871,88546911,88713584,88808703,88886634,88929970,89308854,89367802,89462960,89532352,89536689,89639131,89778336,89787003,89857651,89975385,90151402,90176811,90268594,90416760,90695211,90729525,90844282,91228954,91356633,91416768,91482010,91519954,91663071,91848383,91925722,92864195,93143407,93179770,93225909,93354634,93377352,93391611,93536310,93582591,93705645,93752639,93956842,94142346,94181212,94344351,94396350,94419580,94849699,94923634,94975545,95579722,95627002,95759203,95915555,95971786,95973744,96221304,96290122,96439161,96444544,96506092,96567082,96778160,96858591,97158325,97411570,97450954,97481964,97507834,97597763,97605802,97683439,98182245,98286891,98403594,98797114,98858674,98910364,99051259,99210321,99211551,99432564,99641211,99696466,99725867,99772064,99802782,99919996,99924500,99941359,99952688,99985324,...,104146093782991153052984930932472471673694802685871423891154672762548667326390751486438836857773558076175810649431394892755717589063577856409378178965928345612383786288639932702880777943723281033829834974938114507729636746272762938526880791585734032272875407774712569135444343705335235400849835711725383776502212168864584004340355216683871696828833676016670475074236412525302213542357651522396943796340722553734927309279135958591326292912599766936766944609613493698857619194600530435956714496624853416988095060767413902836870689134876062456029421915027169561157291409312809577813082051224504747078550217383848037009209335311109368585816278137168628086216581177221296483180038900851382196189379809255059941762929597387016073108273683588238252919903421455074077878719285273828675056224643094400936904683781682542410142178352305839704540448228499309530261892853272038509688296532620632586112025045400391817636953711210851837250911564026736695007835885433919865855132852312668573430746623975671238851763772323432088559677532940479312753926396087178269154790090381023985379795596941274212441397419867641765289431511501492365777013561159396918523606124555592376610220128562225223000327707025930920745339473231277714785140143378900166123612462093894171022921338514191535557100719636156202309989475537922249641492218513422976342572255820060373231717914344607743327549734379295433295705789516885534018370157725270678049778019359029235274859102997966202210146941593797331233604623464213210092744217073006477557788439022658446663566848658750816828579682027805313773064946289806270025002683834504641465744823521972108619124666837172604127213402307463416282511518284702604264039455086523276761155400195424682798596398962576126826711816540801566068788594808973817253181665747714518494484472621424065295657524522209086557631742593823283033817621496094366227463159250306360407887419211368231335267125093150083786867896562179029017704397926379725265518056818783554140359224726665323557246839792217969201781279135907759465338998208621740332374132226953779500707969362716306215967274431049507708261877164435792536807144085495660139473649144492524256296194163233653266388880079199442341829009965496967403137340089018637241291864177767412035623593408294331187240917370281929217458801770436418502711448190531768813304332322093293551485156051314742799624172642247997028905999111681760916642530615630569366227052463718335898973219310985786283831120739714781510810420097753707}
15406  1625137761928403271677013544316723298461677223858815261639785373: {77005,92406,353809,400166,445933,677204,721873,953126,1169108,1321046,1616055,1636993,1723792,1783268,1923875,1939266,2091853,2092088,2238326,2308650,2353599,2462560,2519204,2635309,2641748,2725633,2770380,2829368,2955072,2969558,3183039,3253988,3324456,3535309,3740013,3880358,3893293,4071853,4199559,4354004,4476068,4968566,4999475,5037752,5085908,5313709,5451428,5667471,5841613,5922455,5999370,6135423,6303188,6399328,6411446,6715693,6910628,6976513,7106946,7199244,7304075,7425159,7582573,7796139,8002004,8356609,8460650,8486228,8525355,8558486,8706872,8764890,8784109,8839475,9093712,9149315,9349216,9446966,9549073,9633709,9638871,9718273,9795231,9978326,10055809,10152780,10192299,10230426,10517868,10552738,10607370,10829632,10979178,10994555,11213126,11311309,11314528,11933943,12183336,12361592,12468493,12550609,12615686,12728844,12878353,13024319,13070450,13193466,13661558,13706253,13819448,13898468,13906791,14177809,14207075,14312263,14373755,14615204,14660353,15075340,15149463,15407655,15546879,15684540,15714303,15776209,15926228,16001912,16402004,16434832,16564609,16728248,16730176,16996004,17048490,17110358,17248506,17373291,17423533,17963558,18002151,18035075,18090408,18153015,18185056,18186259,18489186,18569031,18580753,18606170,18773204,18819279,18821448,19267309,19363216,19590298,19721773,19827926,20098513,20138271,20333366,20351288,20351709,20446090,20458188,20461463,20772109,20846593,21013988,21074168,21143809,21174129,21536200,21567903,21642090,21780231,21783618,22008806,22174993,22327404,22895199,23084896,23264173,23333359,23360228,23408173,23669846,23708439,24228225,24337153,24500795,24535308,24543051,24824006,24997515,25111508,25611418,25676075,25742593,25843440,25926308,25970508,25980370,26187095,26227693,26664016,26690559,27255313,27554168,27566336,27594253,27667028,27921158,27986140,28592468,28608783,28727558,28843125,28951715,28963563,28987832,29073870,29091255,29208700,29400954,29524609,29997018,30030755,30111373,30419192,30488966,30756493,30766000,30776746,30811290,30861303,30998439,31012128,31030672,31126868,31164063,31176444,31203793,31424514,31457809,31710673,31774475,31815015,31848248,32075126,32340343,32561912,32611311,32831511,32862806,32865376,33152812,33333370,33559415,33583368,33874004,33934609,33936016,34058075,34221591,34236109,34296647,34354383,34611750,34611995,34742058,34833709,34888644,34893926,34909506,34991943,35050440,35276631,35410808,35658253,35829279,35892555,36036906,36065233,36296209,36353773,36467691,36526033,36587740,36593558,36602708,36632151,36903471,36919200,36925453,36973548,37100075,37207286,37282004,37387136,37781289,37960148,37991809,38129370,38178018,38250488,38285392,38487853,38760913,38817247,38975204,39086209,39140173,39380480,39431745,39569293,39837159,39920991,39940993,39980200,40000044,40271298,40671328,40722423,40869690,40898075,40990886,41289686,41314155,41392513,41534100,41534394,41657075,41787128,41997313,42037583,42060528,42228308,42418311,42444109,42479126,42640813,42689809,42749663,43009508,43031799,43071066,43594336,43655962,43900143,43905288,43966780,44068432,44099558,44303040,44520090,44977725,45002413,45011108,45047809,45232868,45369015,45675793,45720109,45755244,45824359,46012088,46200490,46314951,46425446,46548433,46591309,46660642,47010519,47144726,47222948,47256576,47267533,47318094,47333204,47361160,47488096,47619100,47680813,47976240,48006253,48066855,48086893,48393616,48430358,48479075,48799693,48832619,48873428,48995210,49043628,49077690,49185613,49223809,49324171,49375873,49393449,49548759,49576986,49641188,49749095,49840920,49969748,49988490,50155309,50515751,50547158,50868109,50902993,51007213,51174656,51188915,51271312,51281108,51349933,51428795,51585553,51613112,51680083,51718609,51763599,51883309,51967311,52083724,52142559,52262075,52268200,52345023,52349536,52760136,52803073,52833709,53007608,53163648,53255053,53281305,53319158,53321056,53424108,53431309,53456246,53576209,53703992,53973270,54027793,54381133,54407809,54431204,54442818,54566353,54570527,54796063,54799309,55076113,55079588,55095032,55150093,55392013,55440588,55453210,55649809,55965313,56050004,56071035,56167766,56182033,56224513,56391553,56533933,56695508,56703158,56808109,56833392,57010299,57068173,57086209,57125204,57142920,57200703,57249815,57279853,57353271,57571488,57680226,57703763,57823309,58050253,58064751,58117393,58174890,58233709,58246273,58304228,58403053,58457103,58482433,58558886,58579309,58630609,58640653,58782673,58786715,58794252,58801725,58809133,58817809,58868353,58893228,58900609,58983373,59069953,59159809,59275693,59276623,59289553,59294593,59303809,59305933,59320333,59321809,59323213,59333293,59336209,59355153,59372708,59633559,59698914,59809104,59820695,59945528,59986188,60053690,60223371,60416991,60515846,60636152,60863204,60952448,61160966,61300671,61407879,61426698,61671903,61672282,61714554,61802486,61971711,61981911,62015672,62053216,62074475,62365660,62714490,62721840,62827755,62878263,62956203,63201158,63283927,63403748,63430125,63937566,64285785,64301146,64477671,64767924,65463370,65576006,65611604,65716388,66000700,66140408,66543852,66658060,66895456,66903296,67016272,67180004,67285242,67325739,67438719,67510712,67535558,67658800,68096075,68215671,68260886,68571504,68699778,68741558,69066155,69462442,69494055,69561848,69639647,69674468,69767631,69809868,69876455,69933158,69980855,70405766,70544058,70562070,70641206,70708388,70791999,71055159,71224148,71577206,71693558,71784834,72064428,72273158,72849158,72968888,73535606,73828690,73876886,74126992,74301908,74404004,74405320,74407959,74489370,74838792,74855075,75257388,75266208,75393306,75507351,75563846,75597639,75634683,75684152,75945903,75949551,76116150,76133355,76361528,77038328,77047268,77101359,77142942,77163583,77181515,77436566,77624386,77714552,77958231,78257079,78280090,78340808,78556044,79114665,79200840,79455328,79739768,79919223,79989672,80009558,80371028,80413411,80413688,80430326,80953046,81022191,81190560,81208912,81266091,81705183,81715290,81785450,81970004,82089999,82192886,82431992,82468004,82703366,82745655,82864055,82865828,82879386,83237627,83362388,83392866,83471674,83613158,83705985,83851746,83977026,84013766,84022431,84193641,84388976,84480896,84511286,84521823,84550868,84589475,84674484,84680890,84709286,84924843,84930395,85144671,85488194,85537748,85906719,86175926,86600855,86603264,86668119,86914004,87040358,87121208,87162976,87300556,87428871,87458602,88103260,88133409,88262032,88264306,88504715,88565451,88594428,88643842,88966628,89001815,89012006,89093800,89100945,89122232,89224503,89286384,89315831,89356004,89380358,89387244,89707239,89826090,89837558,89988381,90086379,90405610,90453368,90465399,90741158,91142795,91339380,91360026,91542086,91636762,91858780,91982006,92413955,92591846,92617818,92735991,92837348,92842719,93174423,93271659,93399943,93450806,93519100,93605348,93936108,94180004,94184125,94275668,94432952,94545926,94712246,94753508,94937598,94946555,95041008,95125526,95225800,95576315,95706788,95814496,96263558,96680003,96798039,96802431,97130708,97268075,97414628,97415795,97428672,97451558,97652522,97733432,98011359,98058348,98142540,98302166,98317703,98360511,98453204,98635498,98832543,98985158,99140559,99232060,99294786,99436866,99485210,99706808,99772431,99972650,...,138861458377321537403979907909963295564926403581161898521539563683398223101854335315251782477031410768234414199241859857007623452084770475212504238621237794149845048384853243603841037258297708045106446633250819343639515661697017251369174388780978709697167210366283425513925791607113647201133114282300511702002949558486112005787140288911828929105111568022227300098981883367069618056476868696529258395120963404979903079038847944788435057216799689249022592812817991598476825592800707247942285995499804555984126747689885203782494252179834749941372562553369559414876388545750412770417442734966006329438066956511797382678945780414812491447755037516224837448288774902961728644240051867801842928252506412340079922350572796516021430811031578117651003893204561940098770504959047031771566741632857459201249206245042243389880189571136407786272720597637999079373682523804362718012917728710160843448149366727200522423515938281614469116334548752035648926677114513911893154473510469750224764574328831967561651802351696431242784746236710587305750338568528116237692206386787174698647173060795921698949921863226490189020385908682001989821036018081545862558031474832740789835480293504749633630667103609367907894327119297641703619713520191171866888164816616125192228030561784685588714076134292848208269746652634050562999521989624684563968456763007760080497642290552459476991103399645839060577727607719355847378691160210300360904066370692478705647033145470663954936280195922125063108311472831285617613456992289430675303410384585363544595551422464878334422438106242703740418364086595053075026700003578446006188620993098029296144825499555782896805502951203076617888376682024379603472352052606782031035681540533593899577064795198616768169102282422054402088091718126411965089670908887663619357992645963495232087060876699362945448743508990125097710711756828661459154969950879000408480543849892281824308447022833457533445049157195416238705356939197235172967020690742425044738853812299635553764742995786389623958935708372181210345953785330944828987109832176302605039334277292483621741621289699241399343611015836219247723382409525447327546852631532192656699008394925550978204355185173438932589789105346620662623204183120118691516321722485570356549380831457877725774916321223160375905623278402360581891336948597587375691751072443096124391401980208068419657066165563522997329371874665482242347888856707487507425821636069951624447865297625747981048378441494319619708681080560130338276}
15407  1632393525973048833853352177237142570988892877976603313963213104: {123208,138609,600249,846505,1015806,1429689,1461385,1508318,1753662,1830577,1981569,2154740,2199769,2229085,2475697,2585688,2615110,2674902,2908899,3078200,3138132,3149005,3213793,3302185,3357489,3398317,3462975,3536710,3693840,3722686,3778806,3889369,3940096,3962622,4067485,4155570,4244052,4408033,4432608,4442797,4454337,4880982,4986684,5442505,5595085,5599412,5750998,5820537,6251113,6297190,6357385,6531006,6714102,6814285,7452849,7556628,7572973,7594262,7618513,7628862,7878985,7935433,7956998,7999160,8094193,8125969,8177142,8180564,8462809,8638285,8999055,9454782,9475928,9598992,9617169,9900212,10002505,10365942,10394852,10607785,10660419,10698253,10798866,10816393,10883590,11297473,11367140,11686520,12003006,12092017,12380966,12690975,12729342,12837729,12851828,12908509,13060308,13147335,13537040,13589732,13640568,13980769,14001673,14023824,14143160,14170449,14380478,14637217,14638904,14967489,14985553,15143974,15229170,15345639,15376993,15451990,15776802,15829107,15896173,15911055,15911924,16244448,16249822,16324033,16468767,16819689,16942814,16971792,17160182,17183809,17274310,17373085,17591288,17807377,17995153,18269005,18275004,18329113,18439897,18490033,18542388,18688489,18844175,18923529,19093266,19605675,19790199,19907785,20002390,20199284,20492337,20502505,20543540,20729172,20847702,20896153,20910310,20912720,20952404,21245005,21264217,21330793,21580694,21598177,21922806,22334353,22613010,22731320,22995313,22998008,23164388,23254093,23331014,23466505,23526810,23889342,24002868,24109897,24120544,24204020,24314966,24603006,24652248,24758708,25006129,25092372,25095264,25364353,25439110,25494006,25572735,25665537,25870609,25872759,25992889,26210809,26251213,26267485,26342710,26616793,26767537,26851028,26920250,26945337,27135612,27151838,27277584,27312769,27733779,27867217,27909255,28159806,28232172,28491673,28757204,28856120,29040308,29044824,29075462,29200285,29335753,29347117,29385447,29519713,29694014,29741889,29769872,29962273,30500049,30526932,30669135,30687282,30749974,30984457,31389385,31452902,31517113,31520982,31611252,32304300,32407885,32463135,32675427,32713744,32724068,32936233,32952817,33013209,33057817,33275149,33330020,33469177,33491106,33499718,33826417,33981793,34105297,34442710,34457920,34583785,34627344,34982675,35040342,35050009,35504769,35587412,35740585,35985598,36234790,36510875,36563737,36802962,37027633,37219369,37236009,37372102,37596697,37667262,38023990,38129737,38145044,38417127,38457500,38559878,38605453,38618084,38765160,38788340,38889462,38908585,38955762,38970555,39002174,39201272,39460909,39689329,39810310,39996024,40190473,40260577,40656877,40702390,40872446,40943942,41081720,41148404,41331252,41349504,41441015,41500542,41552084,41568592,41786854,41881737,41899352,41976278,41979210,42026353,42176833,42194017,42342505,42344414,42420020,42478262,42797953,42888702,43091337,43481748,43610805,43775348,43813050,43862233,43987966,44101431,44263510,44746333,44753197,44777824,44862398,44995527,45161473,45628788,45733449,45734675,45753385,45805844,45922669,45951614,46149000,46165119,46216935,46294774,46322744,46381657,46518192,46546008,46602505,46655924,46690302,46733920,46764666,46946377,46990993,47035508,47136771,47385913,47450185,47772372,47813110,47856740,48049208,48112689,48208153,48265309,48623588,48719005,48842868,49204628,49225600,49294209,49298064,49351153,49514593,49729218,49975250,50000055,50375052,50572717,50647273,50811006,50839160,50881357,50904024,51019393,51732889,51917625,51930769,52113087,52233910,52332966,52340889,52364259,52449697,52452337,52495558,52575660,52785385,52904209,53056633,53116212,53221009,53227988,53333392,53466289,53695064,53761885,54055359,54263713,54284137,54296564,54492920,54881610,54890337,54904062,54958475,54984697,55017913,55085540,55378800,55379192,55460322,55745773,55810929,55923006,55943998,56080704,56263885,56355254,56541085,56557748,56649662,56940222,57060253,57194055,57267027,57375732,57428088,57515110,57519709,57872857,57913766,58411582,58448497,58462806,58533524,58540384,58639238,59021773,59028685,59070720,59071873,59166505,59201450,59360120,59523875,59595577,59836166,59970300,60000066,60406947,60426217,60492020,60552493,60724813,60866617,60980569,61006992,61091785,61304535,61486329,61753268,61934529,62051485,62065453,62132317,62301150,62301591,62462185,62605873,62680692,63008768,63090792,63249769,63277334,63342462,63585278,63718689,63847777,63878593,63968320,63995353,64089140,64101385,64455649,64514262,64516390,64598113,64606599,64861118,65104655,65335250,65389393,65391504,65436920,65483943,65857932,65950170,66065012,66102648,66149337,66223633,66259510,66287209,66454560,66651320,66679033,66742849,66780135,66816337,66941233,67129990,67177129,67408537,67516662,67849302,68000233,68039005,68548207,68632866,68791609,68812297,68849485,68868790,69018132,69095798,69148333,69289748,69300735,69523412,69584017,69638169,69772297,69793364,69990963,70062505,70333513,70346848,70361977,70717089,70834422,70869385,70884864,70977141,70999806,71041740,71057798,71168809,71232144,71406505,71428650,71964360,72127993,72188353,72227353,72434473,72590424,72634633,72645537,72679777,72880285,73310142,73492815,73565442,73616535,73634569,73639934,73823233,73840354,73884673,73920784,74215885,74365479,74461782,74761380,74931910,74954622,74982735,75098353,75777856,75795190,75820737,76013732,76079005,76190560,76231057,76267604,76268582,76471028,76690273,76761984,76906968,76921662,77216077,77229278,77276569,77419668,77519590,77566520,77715286,77760769,77942804,77957075,77981953,78125586,78392336,78402300,78524304,78608582,78718177,78898009,78911494,79108129,79140204,79146697,79254685,79368262,79511412,79598552,79745472,79978737,79981584,80125009,80136162,80184369,80224717,80297828,80555988,80656273,80959905,81228397,81646806,81664227,81734228,81769633,81877172,81902264,82014505,82145485,82229204,82286072,82500875,82619382,82628833,82628948,82642548,82675510,83160882,83179815,83322575,83352313,83619320,83629120,83770340,83837684,83941604,83975005,84075006,84120793,84251649,84388390,84573500,84848254,85043262,85054737,85250088,85516753,85584598,85687806,85714380,85807489,85949782,85970228,86102809,86238637,86357232,86520339,86778673,86952310,87093085,87243457,87262335,87456342,87547966,87818017,87838329,88191378,88339842,88385485,88725136,89030185,89059062,89089993,89379494,89538673,89548371,89702257,89713656,89767652,89918292,89979282,90080535,90773769,90925777,90954228,91211110,91278349,91294806,91428672,91466929,91599704,91734193,91741449,91875878,92140047,92396353,92508423,92571831,92658740,92703729,92802193,92877385,92960653,93005005,93006650,93023508,93079824,93548490,94058744,94071735,94082760,94389332,94605190,94740212,94759414,94801737,95105622,95222797,95451910,95713112,95906349,95984342,96085904,96216433,96246697,96297910,96309085,96375937,96451719,97143190,97151886,97341046,97372249,97497433,97520606,97926010,98195055,98292409,98364009,98417406,98574582,98638897,99001050,99210612,99319160,99674710,99681769,99785056,99815778,99987090,...,208292187565982306105969861864944943347389605371742847782309345525097334652781502972877673715547116152351621298862789785511435178127155712818756357931856691224767572577279865405761555887446562067659669949876229015459273492545525877053761583171468064545750815549425138270888687410670470801699671423450767553004424337729168008680710433367743393657667352033340950148472825050604427084715303044793887592681445107469854618558271917182652585825199533873533889219226987397715238389201060871913428993249706833976190121534827805673741378269752124912058843830054339122314582818625619155626164102449009494157100434767696074018418670622218737171632556274337256172433162354442592966360077801702764392378759618510119883525859194774032146216547367176476505839806842910148155757438570547657350112449286188801873809367563365084820284356704611679409080896456998619060523785706544077019376593065241265172224050090800783635273907422421703674501823128053473390015671770867839731710265704625337146861493247951342477703527544646864177119355065880958625507852792174356538309580180762047970759591193882548424882794839735283530578863023002984731554027122318793837047212249111184753220440257124450446000655414051861841490678946462555429570280286757800332247224924187788342045842677028383071114201439272312404619978951075844499282984437026845952685144511640120746463435828689215486655099468758590866591411579033771068036740315450541356099556038718058470549718205995932404420293883187594662467209246928426420185488434146012955115576878045316893327133697317501633657159364055610627546129892579612540050005367669009282931489647043944217238249333674345208254426804614926832565023036569405208528078910173046553522310800390849365597192797925152253653423633081603132137577189617947634506363331495429036988968945242848130591315049044418173115263485187646566067635242992188732454926318500612720815774838422736462670534250186300167573735793124358058035408795852759450531036113637567108280718449453330647114493679584435938403562558271815518930677996417243480664748264453907559001415938725432612431934548862099015416523754328871585073614288170991320278947298288985048512592388326467306532777760158398884683658019930993934806274680178037274482583728355534824071247186816588662374481834740563858434917603540872837005422896381063537626608664644186587102970312102629485599248345284495994057811998223363521833285061231261138732454104927436671797946438621971572567662241479429563021620840195507414}
15408  1639681427842358713034463592208155876019089172642519656469557184: {107807,154010,184812,261647,476687,707618,721967,800332,891866,905591,1210991,1354408,1363391,1443746,1523709,1546007,1667591,1906252,2001287,2092127,2122391,2262477,2273591,2338216,2545247,2630493,2642092,2693425,2756087,2906447,3232110,3273986,3447584,3566536,3847750,3878532,3922665,4012353,4072391,4102127,4183706,4184176,4191287,4476652,4617300,4636007,4707198,4783847,4925120,4990487,5038408,5226167,5270618,5283496,5305065,5451266,5540760,5584029,5658736,5668209,5910144,5939116,5943933,6233355,6366078,6507976,6571391,6648912,6832607,6890567,6999265,7070618,7150991,7321473,7480026,7756127,7760716,7786586,8043047,8143706,8272007,8291437,8399118,8557487,8626497,8699927,8708008,8952136,9445785,9465647,9747767,9796509,9937132,9972887,9998950,10071153,10075504,10169447,10171816,10225705,10421591,10627418,10840391,10902856,11007407,11257391,11334942,11391393,11443293,11506727,11683226,11844910,11935497,11998740,12265713,12270846,12375265,12470207,12497591,12606376,12798656,12809041,12822892,12993565,13315391,13431386,13450991,13694567,13821256,13953026,14018327,14099087,14182173,14208925,14213892,14367767,14398488,14608150,14662391,14689127,14850318,14929391,15165146,15222167,15392377,15548913,15566927,15592278,16004008,16064785,16198299,16325385,16713218,16880327,16921300,16972456,16987165,17050710,17062607,17116972,17413744,17451887,17529780,17568218,17678950,17684591,17813591,18004509,18187424,18298630,18353207,18571449,18608927,18685487,18698432,18893932,19094013,19098146,19267418,19277742,19436546,19590462,19598591,19724591,19889905,19956652,20111618,20123257,20305560,20384598,20460852,20700527,21035736,21105476,21214740,21245687,21467591,21570717,21659264,21688847,21835991,21958356,21989110,22105007,22202591,22324391,22421687,22426252,22622618,22629056,22715961,22785407,22843755,23177985,23267567,23291591,23555327,23665203,23867886,24008591,24181729,24364391,24366672,24374733,24624167,24723184,24859487,24936986,25101218,25231372,25249105,25327727,25414221,25457688,25679425,25740273,25756706,25911465,26024087,26048638,26140900,26190505,26254607,26386932,26667527,26781767,26941367,27123287,27323116,27412506,27598391,27638896,27733487,27796936,27813582,27935591,28069967,28355618,28404647,28414150,28624526,28639899,28747510,28825991,28955485,29230408,29288327,29320706,29463527,29942687,30003585,30007727,30150680,30245591,30255025,30298926,30815310,30910727,30948385,31093758,31208591,31271553,31365465,31369080,31428606,31552418,31652447,31852456,31925447,32003824,32371041,32804008,32869664,32884209,33085991,33129218,33392591,33456496,33460352,33474047,33563785,33919515,33992008,34096980,34181327,34220716,34301113,34421567,34497012,34501391,34746582,34799591,34847066,34977647,34996521,35194391,35272967,35290215,35488391,35834013,35896967,35927116,35946505,36004302,36070150,36180816,36244367,36300385,36306030,36370112,36372518,36436247,36472449,36661933,36817607,36904509,36950327,36978372,37138062,37161506,37212340,37214591,37546408,37638558,37642896,37794167,37960991,38158665,38241009,38329391,38534618,38726432,38767247,38785391,38894087,39180596,39443546,39514065,39522407,39593591,39655852,39947591,39965207,40018007,40197026,40276542,40380375,40472591,40532401,40576727,40666732,40702576,40703418,40727757,40892180,40905085,40916376,40922926,41246591,41399447,41416391,41544218,41662525,41669591,41693186,41770367,42021047,42027976,42043057,42148336,42239709,42287618,42348258,42352487,42566207,42762287,43072400,43134887,43135806,43247447,43284180,43391591,43471391,43535087,43560462,43567236,43613193,44017612,44273927,44349986,44484265,44541021,44654808,44736287,44797391,44964767,45010247,45025391,45790398,46030923,46051007,46124961,46169792,46210991,46297847,46528346,46570991,46666718,46720456,46770407,46816346,46983181,47150567,47179353,47281473,47289887,47339692,47416878,47483591,47681305,47689391,48014927,48028391,48071875,48095591,48272605,48456450,48456793,48485425,48573527,48674306,48769607,49001590,49070616,49086102,49194647,49207391,49384967,49397591,49473167,49648012,49945127,49995030,50200991,50223016,50236659,50249577,50453327,50522329,50631407,50924207,51222836,51352150,51359687,51435505,51485186,51539591,51662087,51664065,51686880,51772607,51852616,51940105,51941016,51960740,52088591,52249391,52313207,52374190,52450487,52455386,52502927,52560513,52607207,52669391,53025025,53066567,53216087,53235887,53328032,53381118,53557967,53615591,53796167,53978397,54038591,54230447,54352185,54392087,54400991,54498407,54510626,54524807,54577633,54586127,54719185,54742007,54793391,54886847,55087391,55095647,55108336,55132672,55169591,55188506,55204443,55210391,55291391,55334056,55379567,55645991,55753007,55805927,55842316,55940207,55954967,55972280,55984391,56058153,56086367,56403527,56485367,56500893,56572727,56671847,56743391,56877287,56939807,57035985,57086591,57152327,57184936,57217566,57228767,57257305,57257807,57298127,57377591,57427847,57455116,57542591,57564047,57595991,57643367,57686250,57711277,57839817,57903430,57927126,57952127,57975664,58012967,58063391,58067927,58081487,58147740,58182510,58263767,58319905,58321391,58334193,58345607,58361591,58381391,58417400,58433643,58462367,58495991,58499687,58503261,58582487,58654391,58657727,58716407,58778567,58794385,58799567,58801908,58823087,58882391,58909391,58960991,59011727,59049218,59073887,59084327,59125991,59133527,59142767,59185967,59194007,59204927,59225591,59239391,59290607,59291591,59301887,59305391,59312807,59320991,59325047,59338847,59348591,59351087,59351447,59700433,59715465,59820925,59994036,60061510,60222746,60779485,60838384,60977932,60990589,61053585,61308669,61415913,61505785,61512986,61532000,61553492,61622580,61722606,61996878,62024256,62061344,62250813,62253736,62328126,62352888,62407586,62680281,62849028,62915618,62964417,62968815,63421346,63516621,63548950,63630030,63696496,63717393,64150252,64333053,64492441,64680686,65123824,65222622,65663022,65719575,65725612,65730752,65981949,66305624,66395265,66534985,66666740,67118830,67166736,67293597,67748008,67869218,67870705,67872032,68116150,68443182,68472218,68593294,68708766,68717473,68856925,68927421,69223500,69223990,69442161,69484116,69648733,69667418,69777288,69787852,69819012,69983886,70035453,70100880,70146999,70553262,70697185,70821616,71316506,71658558,71664481,71719665,71785110,72000313,72073812,72130466,72592418,72707546,72935382,73052066,73166905,73175480,73187116,73205416,73264302,73806942,73838400,73850906,73947096,74200150,74414572,74564008,74593827,74774272,74962875,75562578,75615025,75920296,75983618,76216509,76258740,76356036,76500976,76570784,76975706,77191585,77521826,77634494,77950408,78172418,78280346,78350865,78499449,78743337,78760960,78863490,79138586,79674318,79841982,79881986,79960400,80000088,80111425,80149741,80542596,81342656,81444846,81739380,81796150,81981772,82301401,82322415,82356093,82579372,82581265,82628310,82785026,83068200,83068788,83190483,83314150,83574256,83748973,83884509,83915997,83994626,84075166,84121056,84456616,84532881,84836622,84888218,84958252,84974493,85281626,85379618,85410333,85499326,86019016,86063598,86142132,86272665,86612185,86870649,86904265,87188672,87241705,87311924,87617373,87694209,87800286,87810576,87933560,87958857,88136864,88199116,88606080,88802175,88978153,89040180,89754249,89955450,90000099,90004826,90022216,90095618,90465736,90738030,91351586,91440218,91510488,91648718,92024176,92400980,92629902,92850892,93030289,93096866,93182618,93321284,93451725,94021038,94289452,94445896,94513152,94535066,94636188,94666408,94722320,94916001,94976192,95013693,95017165,95238200,95334505,95361626,95377917,95588785,95952480,96012506,96133710,96173786,96692617,96771393,96774585,96787232,96860716,96958150,97291677,97428505,97599386,97665238,97746856,97827037,97973197,97990420,98002875,98087256,98155380,98371226,98371741,98447618,98648342,98751746,98786898,98925255,99097518,99153972,99282376,99389265,99498190,99681840,99939496,99976980,...,312438281348973459158954792797417415021084408057614271673464018287646001979172254459316510573320674228527431948294184678267152767190733569228134536897785036837151358865919798108642333831169843101489504924814343523188910238818288815580642374757202096818626223324137707406333031116005706202549507135176151329506636506593752013021065650051615090486501028050011425222709237575906640627072954567190831389022167661204781927837407875773978878737799300810300833828840481096572857583801591307870143489874560250964285182302241708510612067404628187368088265745081508683471874227938428733439246153673514241235650652151544111027628005933328105757448834411505884258649743531663889449540116702554146588568139427765179825288788792161048219324821050764714758759710264365222233636157855821486025168673929283202810714051345047627230426535056917519113621344685497928590785678559816115529064889597861897758336075136201175452910861133632555511752734692080210085023507656301759597565398556938005720292239871927013716555291316970296265679032598821437938261779188261534807464370271143071956139386790823822637324192259602925295868294534504477097331040683478190755570818373666777129830660385686675669000983121077792762236018419693833144355420430136700498370837386281682513068764015542574606671302158908468606929968426613766748924476655540268929027716767460181119695153743033823229982649203137886299887117368550656602055110473175812034149334058077087705824577308993898606630440824781391993700813870392639630278232651219019432673365317067975339990700545976252450485739046083415941319194838869418810075008051503513924397234470565916325857374000511517812381640206922390248847534554854107812792118365259569830283466200586274048395789196887728380480135449622404698206365784426921451759544997243143555483453417864272195886972573566627259672895227781469849101452864488283098682389477750919081223662257634104694005801375279450251360603689686537087053113193779139175796554170456350662421077674179995970671740519376653907605343837407723278396016994625865220997122396680861338502123908088148918647901823293148523124785631493307377610421432256486980418420947433477572768888582489700959799166640237598327025487029896490902209412020267055911723875592533302236106870780224882993561722752110845787652376405311309255508134344571595306439912996966279880654455468153944228398872517926743991086717997335045282749927591846891708098681157391155007696919657932957358851493362219144344532431260293261121}
15409  1647001608753128003419919496669849346322792140011160121568409196: {231015,246416,277218,1000415,1061427,1185107,1200498,1337799,1693010,2031612,2045939,2165619,2382815,2599727,2859378,2922770,3016636,3120719,3302615,3507324,3661154,3798119,3963138,4309480,4399538,4408607,4458170,4596527,4623059,4848165,4910979,4951394,4965479,5171376,5230220,5349804,5595815,5694479,5771625,5817798,6156400,6251927,6275559,6276264,6298010,6427586,6604370,6714978,6796634,6925950,7060797,7073420,7387679,7387680,7423895,7445372,7557612,7619507,7778738,7833119,7880192,7905927,7925244,8095247,8134970,8176899,8311140,8463911,8488104,8816066,8865216,8885594,8900339,8908674,9046451,9378239,9539999,9549117,9700895,9761964,9973368,10605927,10885010,11030579,11190170,11198824,11220039,11220119,11298947,11501996,11641074,11679879,11956871,12093599,12215559,12421415,12502226,12594380,12598677,12714770,13061999,13062012,13312211,13351559,13428204,13628570,13798751,14003507,14850899,14905698,14998425,15113256,15145946,15188524,15237026,15257724,15757970,15870866,15898247,15913996,15941127,15998320,16028615,16188386,16251938,16354284,16361128,16522727,16925618,17002413,17186051,17276570,17524839,17710199,17766311,17767365,17998110,18331511,18406269,18909564,18951856,19010879,19197984,19234338,19292039,19800424,20005010,20147079,20565359,20665331,20731884,20789704,20929539,21151625,21215570,21266999,21320838,21333587,21396215,21396506,21597732,21632786,21661679,21767180,21912225,22275477,22337267,22594946,22734280,22747719,23257127,23331011,23373040,23388417,23606579,23617415,24006012,24139139,24184034,24322319,24388439,24761932,24945815,25069827,25209119,25381950,25458684,25576065,25576607,25675458,25703656,25710527,25817018,26120616,26294670,26321207,26352327,26381845,26518425,26771039,27074080,27099311,27176279,27179464,27281136,27447945,27812819,27870899,27961538,28003346,28018451,28032815,28047648,28286320,28340898,28647219,28703507,28760956,28901127,28916613,29154819,29274434,29277808,29339591,29385693,29743007,29753159,29916659,29934978,29971106,30040559,30167427,30287948,30297047,30458340,30576897,30691278,30753986,30903980,30959699,31539215,31553604,31658214,31792346,31822110,31823848,32278727,32404919,32488896,32499644,32648066,32676125,32799719,32853107,32937534,32983665,33270611,33428279,33639378,33690707,33885628,33933927,33943584,34109759,34153895,34320364,34367618,34548620,34746170,34898327,35182576,35249027,35409959,35614754,35801829,35990306,36538010,36550008,36658226,36774479,36829619,36879794,36980066,37084776,37376978,37405479,37467251,37651827,37688350,37847058,37979651,38186532,38282807,38299439,38635059,38833859,38924639,39072957,39123647,39211350,39580398,39815570,40004780,40398568,40880399,40984674,41005010,41087080,41118759,41322599,41458344,41695404,41720373,41792306,41820620,41825440,41904808,42182351,42490010,42528434,42533427,42621225,42661586,42775895,42936789,43121265,43147271,43161388,43196354,43845612,43945139,43981059,43986527,44076419,44571539,44668706,44908895,45226020,45371039,45440039,45448389,45462640,45632399,45990626,45996016,46073687,46222965,46328776,46508186,46515425,46640637,46662028,46933010,46952519,47053620,47142909,47158019,47328627,47778684,47832287,48005736,48219794,48241088,48271631,48408040,48417299,48629932,48975745,49206012,49304496,49517416,49521071,49569815,49693827,49867919,50012258,50018279,50036819,50184744,50190528,50579399,50653907,50728706,50833415,50878220,50962307,50988012,51115225,51145470,51331074,51397919,51593951,51741218,51745518,51929939,51985778,52119873,52270599,52421618,52456559,52502426,52534970,52685420,53233586,53535074,53702056,53840500,53890674,54006453,54105225,54271224,54291239,54303676,54459045,54472019,54555168,54558777,54625538,55022015,55025111,55157171,55467558,55707093,55734434,55742259,55818510,55831127,56319612,56457837,56464344,56867399,56882927,56983346,57067727,57514408,57712240,57801927,58017421,58080616,58089648,58150924,58190159,58400570,58465079,58671506,58694234,58770894,59039426,59165319,59174615,59279507,59388028,59483778,59539744,59924546,60295539,60414813,60680147,60732767,61000098,61053864,61055127,61338270,61372727,61374564,61384389,61436471,61499948,61555679,61968914,62060015,62316327,62539779,62778770,62905804,63034226,63041964,63222504,63431427,63522387,63686999,63797879,63964799,64028545,64054739,64608600,64703709,64728527,64815770,64926270,64950925,65243507,65340693,65350854,65427488,65448136,65798039,65872466,65905634,65965511,66026418,66115634,66164687,66430259,66524979,66550298,66660040,66938354,66982212,66999436,67441727,67599827,67652834,67963586,68192471,68206607,68210594,68685597,68885420,68915840,69167570,69254688,69367271,69510899,69662447,69792519,69802895,69965350,70000077,70080684,70100018,70206659,70224519,71009538,71125317,71174824,71178131,71277587,71481170,71818895,71930759,71971196,72197891,72469580,72644147,72684675,73011459,73021750,73127474,73502385,73581311,73605924,73629153,73868819,73873127,73899539,73988759,74055266,74438738,74472018,74680679,74744204,74749727,74992545,75193394,75266639,75334524,76047980,76222415,76259474,76290088,76834254,76915000,76941865,77028225,77119756,77210906,77227779,77236168,77283431,77530320,77576680,77778924,77817170,77911524,77941110,78004348,78343319,78402544,78446519,78561285,78683079,78769439,78921818,79157519,79359887,79378658,79620620,79779551,79992048,80071677,80187815,80380946,80521154,80787059,81230339,81313754,81336527,81404780,81744892,81765939,81887884,82157015,82163440,82296808,82640159,82662504,82699008,82782759,82833107,82841111,82882030,83001084,83104168,83137184,83333425,83573708,83763474,83798704,83952556,83958420,84052706,84339251,84353666,84388034,84685010,84688828,84748247,84840040,84855299,84956524,85001639,85359599,85528499,85587731,85595906,85777404,85826349,86182674,86529375,86855145,86872079,86890689,86963496,87221610,87234815,87245639,87273765,87447059,87550696,87626100,87724466,87975932,87979139,88202862,88527020,88573827,88752599,89358467,89492666,89506394,89555648,89662919,89724796,89741939,89922227,89991054,90092265,90322946,90334119,90633959,90784679,91011779,91146517,91257576,91466898,91469350,91483895,91506770,91611688,91845338,91903228,92269479,92298000,92330238,92433870,92583909,92589548,92645488,92763314,92995317,93018215,93036384,93092016,93128387,93205010,93311848,93380604,93467840,93492189,93529332,93611379,93892754,93981986,94068887,94071016,94208447,94273542,94373427,94771826,94900370,95132019,95254607,95323425,95445045,95544744,95626220,95713480,96098416,96225378,96384359,96389279,96416306,96530618,96636839,96728759,97021029,97247176,97288799,97438010,97495319,97685736,97822967,97833933,98014871,98087507,98409256,98451200,98494533,98507279,98588418,98596128,98702306,99029186,99217139,99458436,99478007,99950500,99969107,...,416584375131964612211939723729889886694779210743485695564618691050194669305563005945755347431094232304703242597725579571022870356254311425637512715863713382449535145154559730811523111774893124135319339899752458030918546985091051754107523166342936129091501631098850276541777374821340941603399342846901535106008848675458336017361420866735486787315334704066681900296945650101208854169430606089587775185362890214939709237116543834365305171650399067747067778438453974795430476778402121743826857986499413667952380243069655611347482756539504249824117687660108678244629165637251238311252328204898018988314200869535392148036837341244437474343265112548674512344866324708885185932720155603405528784757519237020239767051718389548064292433094734352953011679613685820296311514877141095314700224898572377603747618735126730169640568713409223358818161792913997238121047571413088154038753186130482530344448100181601567270547814844843407349003646256106946780031343541735679463420531409250674293722986495902684955407055089293728354238710131761917251015705584348713076619160361524095941519182387765096849765589679470567061157726046005969463108054244637587674094424498222369506440880514248900892001310828103723682981357892925110859140560573515600664494449848375576684091685354056766142228402878544624809239957902151688998565968874053691905370289023280241492926871657378430973310198937517181733182823158067542136073480630901082712199112077436116941099436411991864808840587766375189324934418493856852840370976868292025910231153756090633786654267394635003267314318728111221255092259785159225080100010735338018565862979294087888434476498667348690416508853609229853665130046073138810417056157820346093107044621600781698731194385595850304507306847266163206264275154379235895269012726662990858073977937890485696261182630098088836346230526970375293132135270485984377464909852637001225441631549676845472925341068500372600335147471586248716116070817591705518901062072227275134216561436898906661294228987359168871876807125116543631037861355992834486961329496528907815118002831877450865224863869097724198030833047508657743170147228576341982640557894596577970097025184776652934613065555520316797769367316039861987869612549360356074548965167456711069648142494373633177324748963669481127716869835207081745674010845792762127075253217329288373174205940624205258971198496690568991988115623996446727043666570122462522277464908209854873343595892877243943145135324482958859126043241680391014828}
15410  1654354210537738381973319860345573029447323831188297394151921322: {215614,292429,308020,369624,415827,523294,568801,936289,953374,1211149,1415236,1443934,1485361,1576621,1600664,1783732,1800747,1811182,2122669,2304109,2421982,2539515,2708816,2726782,2887492,2936881,3047418,3092014,3206989,3335182,3386701,3770795,3812504,4002574,4102669,4184254,4244782,4289067,4384155,4524954,4547182,4676432,5079601,5090494,5256289,5260986,5284184,5386850,5491731,5512174,5696749,5812894,5944707,5960161,6464220,6537775,6547972,6599307,6687255,6895168,6920461,7133072,7267501,7427091,7695500,7757064,7785901,7845330,8024706,8044129,8144782,8204254,8367412,8368352,8382574,8726697,8841775,8953304,9070561,9234600,9272014,9306715,9325549,9414396,9447015,9495181,9567694,9641379,9798971,9850240,9906555,9918001,9980974,10072467,10076816,10194951,10388925,10452334,10541236,10566992,10610130,10674541,10902532,11081520,11092321,11168058,11317472,11336418,11668107,11820288,11878232,11887866,12202455,12417121,12466710,12499309,12732156,12745441,13015952,13142782,13154221,13224099,13297824,13328391,13363011,13665214,13781134,13998530,14141236,14289229,14301982,14315987,14377495,14530609,14642946,14691169,14960052,15250861,15330529,15512254,15521432,15569101,15573172,15742975,15965281,16086094,16123249,16287412,16327515,16544014,16582874,16785255,16798236,17114974,17220961,17252994,17325371,17399854,17416016,17461611,17532001,17904272,18190991,18381421,18688141,18753339,18891570,18931294,18985655,19072155,19374049,19495534,19593018,19601389,19874264,19892495,19945774,19997900,20142306,20151008,20204461,20338894,20343632,20442855,20451410,20466787,20728369,20843182,21248749,21254836,21680782,21805712,21839149,22014814,22351969,22358547,22490699,22514782,22669884,22718919,22782786,22855539,22886586,23013454,23294989,23366452,23582701,23636955,23689820,23782031,23797729,23806299,23870994,23997480,24225841,24282579,24296941,24377907,24531426,24541692,24750530,24940414,24995182,25212752,25354801,25388427,25597312,25618082,25645784,25914855,25987130,26051041,26630782,26740081,26808589,26862772,26901982,26945389,26997165,27150049,27208975,27389134,27642512,27760141,27845867,27906052,28036654,28096561,28198174,28364346,28417850,28427784,28431181,28578407,28631089,28735534,28796976,28851507,29216300,29324782,29378254,29489869,29620909,29700636,29858782,30007515,30271789,30330292,30444334,30658861,30784754,30952415,30979441,31097826,31133854,31184556,31615201,31823355,31981257,32008016,32094759,32129570,32306221,32396598,32449179,32493169,32650770,32865121,33426436,33760654,33783661,33842600,33892419,33944912,33974330,34025869,34101420,34125214,34206769,34233944,34387021,34446961,34827488,34903774,35059560,35136436,35219629,35278561,35348747,35357900,35369182,35627182,35630641,35863921,35951195,36009018,36276051,36374848,36597260,36666707,36706414,36785521,37142898,37217854,37239409,37370974,37396864,37408429,37576801,37787864,37855981,37859935,38072925,38188026,38196292,38243809,38353969,38513187,38534836,38555484,38629975,38725527,38791729,38873092,39180924,39197182,39442005,39449182,39546721,39779810,39913304,39971809,40077361,40223236,40246514,40496689,40537679,40600801,40611120,40624555,40769196,40921704,41321521,41401054,41423329,41942307,42005019,42071472,42078061,42210952,42277069,42357035,42376141,42429480,42491374,42511347,42769549,42900455,42935182,43141434,43185775,43254829,43318528,43327739,43377694,43399009,43590241,43671982,43911651,43916712,43978220,44063281,44210014,44297101,44405182,44648782,44843374,44852504,44902467,44942221,44956659,45033229,45214381,45245236,45258112,45394381,45431922,45570814,45687510,45839341,46036917,46059121,46130979,46320481,46355970,46363789,46450189,46535134,46583182,46750321,46792909,46989299,47110654,47330406,47487321,47505889,47688519,47733165,47735772,47752561,47956141,48017182,48037069,48198061,48363458,48595501,48728782,48733344,48749466,48972099,49139821,49216429,49248334,49406301,49406689,49446368,49718974,49855969,49873972,49966669,50005975,50076721,50202436,50325107,50459067,50462744,50474701,50498210,50655454,50688109,50820539,50828442,50828941,50915376,51003361,51358850,51480546,51513412,51549409,51551427,51683041,51782509,51815521,51822930,52048174,52097276,52109389,52119255,52275775,52281800,52381010,52460641,52509214,52617421,52773864,52925581,53256241,53335054,53422131,53563534,53882734,53894731,53951735,53985459,54223201,54246574,54250381,54411949,54518221,54623341,54646232,54807015,54825012,54855649,54987339,55032301,55106929,55196782,55277792,55302769,55319691,55466974,55470099,55541089,55593872,55627164,55657549,55703629,55871182,56065467,56139934,56483821,56532525,56683981,56703601,56711236,56762029,56770587,56809294,56828300,56895841,57134989,57188449,57249052,57267119,57279798,57327841,57395809,57495020,57511981,57560689,57576781,57651982,57656161,57839329,57868849,57910970,58026061,58081069,58161421,58302001,58314349,58327535,58338829,58363021,58422241,58460816,58479661,58513249,58576654,58599649,58641412,58671469,58691341,58795489,58817025,58822381,58857229,58927054,58947121,59088241,59130829,59153581,59210209,59219569,59241709,59269681,59284081,59306509,59315041,59338801,59359969,59365729,59366701,59370597,59708207,59723355,59885374,60007170,60015454,60301360,60491182,60510050,60597852,60787415,60998531,61477011,61507515,61630620,61821454,61896770,62187516,62277971,62417182,62543106,62688459,62730930,62738160,62857212,63104836,63304894,63597775,63704912,63735015,63792651,63850894,63992379,64007648,64500839,64742082,64794531,65608016,65739328,65768418,65856775,66059059,66171982,66258436,66753827,66785182,66912992,66920704,66948094,67003059,67127570,67300625,67581647,67839030,67879595,67984016,68193960,68362654,68441432,68602226,68843134,68985939,68994024,69002782,69493164,69599182,69694132,69762279,69955294,69993042,70388782,70399515,70545934,70580430,70976782,71668026,71793934,71854232,71893010,72008604,72009707,72079787,72140300,72329691,72361632,72488734,72600770,72612060,72688655,72716147,72740224,72745036,72872494,72944898,73323866,73635214,73809018,73900654,73956744,74235035,74276124,74323012,74424680,74429182,75018387,75092816,75277116,75285792,75458767,75588334,75921982,76093059,76317330,76482018,76606859,76658782,76718205,76874935,76996611,77069236,77452864,77534494,77570782,77611827,77618277,77788174,77978667,78361192,78632255,78632427,78753639,78802455,78887092,79028130,79044814,79187182,79311704,79850379,79895182,79930414,80036014,80160227,80302611,80394052,80553084,80760750,80836011,80945182,81064802,81153454,81211559,81333464,81405152,81406836,81455514,81647867,81784360,81810170,81832752,81845852,81938307,82312139,82493182,82798894,82832782,83088436,83201337,83325050,83339182,83386372,83540734,83601651,83727765,83749295,84042094,84055952,84086114,84296672,84479418,84575236,84696516,84704974,85091279,85132414,85475019,85524574,86106775,86108099,86144800,86269774,86271612,86494894,86568360,86783182,86942782,87070174,87120924,87134472,87226386,87600855,88007259,88035224,88041351,88156341,88547854,88559139,88699972,88968530,89082042,89225667,89309616,89472574,89594782,89886819,89929534,89963995,90020494,90050782,90586975,91500147,91580796,92007405,92061846,92102014,92249922,92339584,92421982,92595694,92953371,93056692,93141982,93148979,93333436,93430255,93440912,93540814,93632692,93966362,94168155,94301134,94358706,94551339,94562946,94579774,94679384,94833756,94967182,95018987,95059975,95362610,95378782,96029854,96056782,96143750,96191182,96399695,96545210,96912900,96913586,96970850,97147054,97223655,97348612,97389405,97505435,97539214,98003180,98026281,98141232,98172204,98389294,98414782,98769934,98795182,98808699,98858451,98946334,98976059,99039627,99173451,99296024,99446171,99525775,99825447,99890254,99990060,...,624876562697946918317909585594834830042168816115228543346928036575292003958344508918633021146641348457054863896588369356534305534381467138456269073795570073674302717731839596217284667662339686202979009849628687046377820477636577631161284749514404193637252446648275414812666062232011412405099014270352302659013273013187504026042131300103230180973002056100022850445418475151813281254145909134381662778044335322409563855674815751547957757475598601620601667657680962193145715167603182615740286979749120501928570364604483417021224134809256374736176531490163017366943748455876857466878492307347028482471301304303088222055256011866656211514897668823011768517299487063327778899080233405108293177136278855530359650577577584322096438649642101529429517519420528730444467272315711642972050337347858566405621428102690095254460853070113835038227242689370995857181571357119632231058129779195723795516672150272402350905821722267265111023505469384160420170047015312603519195130797113876011440584479743854027433110582633940592531358065197642875876523558376523069614928740542286143912278773581647645274648384519205850591736589069008954194662081366956381511141636747333554259661320771373351338001966242155585524472036839387666288710840860273400996741674772563365026137528031085149213342604317816937213859936853227533497848953311080537858055433534920362239390307486067646459965298406275772599774234737101313204110220946351624068298668116154175411649154617987797213260881649562783987401627740785279260556465302438038865346730634135950679981401091952504900971478092166831882638389677738837620150016103007027848794468941131832651714748001023035624763280413844780497695069109708215625584236730519139660566932401172548096791578393775456760960270899244809396412731568853842903519089994486287110966906835728544391773945147133254519345790455562939698202905728976566197364778955501838162447324515268209388011602750558900502721207379373074174106226387558278351593108340912701324842155348359991941343481038753307815210687674815446556792033989251730441994244793361722677004247816176297837295803646586297046249571262986614755220842864512973960836841894866955145537777164979401919598333280475196654050974059792981804418824040534111823447751185066604472213741560449765987123445504221691575304752810622618511016268689143190612879825993932559761308910936307888456797745035853487982173435994670090565499855183693783416197362314782310015393839315865914717702986724438288689064862520586522242}
15411  1661739375646820190338359729172102043447904885161164241542431324: {323421,385025,462030,492832,554436,784941,1400581,1430061,1769045,2000830,2122854,2165901,2229665,2370214,2400996,2675598,2716773,2876621,3335941,3386020,3609365,3632973,3890381,4063224,4090173,4091878,4331238,4443953,4571127,4623661,4638021,4765630,5002773,5199454,5549653,5718756,5845540,6003861,6033272,6241438,6276381,6367173,6605230,6787431,6820773,6926909,7014648,7322308,7388641,7596238,7635741,7834141,7891479,7926276,8080275,8184965,8268261,8618960,8719341,8799076,8817214,8916340,9047629,9193054,9246118,9619375,9696330,9821958,9902788,9930958,10244453,10342752,10393453,10459265,10460440,10699608,11191630,11388958,11543250,11635596,11767995,11971949,12037059,12217173,12306381,12312800,12503854,12540133,12551118,12552528,12573861,12596020,12855172,13176545,13208740,13353301,13429956,13581253,13593268,13628165,13851900,13908021,14121594,14146840,14351541,14750389,14775358,14775360,14847790,14890744,14971461,15115224,15239014,15557476,15666238,15678501,15732613,15760384,15811854,15850488,15915195,16190494,16269940,16353798,16622280,16752087,16927822,16976208,16997189,17004627,17389981,17632132,17676545,17730432,17768629,17771188,17800678,17817348,17831799,18092902,18700065,18756478,19001741,19079998,19098234,19401790,19466465,19523928,19714173,19946736,20359265,20497821,20671701,20801453,20997795,21211854,21247453,21452973,21664513,21770020,21964419,22002629,22061158,22380340,22397648,22440061,22440078,22440238,22597894,22984813,23001341,23003992,23268381,23282148,23359758,23560673,23913742,24129141,24187198,24391621,24431118,24816021,24842830,24874311,24997375,25004452,25188760,25197354,25212421,25429540,25672461,25768049,25879491,26099781,26123998,26124024,26568545,26624422,26703118,26856408,27257140,27573013,27597502,27807053,27983021,28007014,28337355,28396941,28968229,28976981,29208065,29243301,29389527,29612275,29701798,29811396,29918661,29920573,29954701,29996850,30213459,30226512,30291892,30377048,30474052,30508341,30515448,30677115,31106881,31264773,31317053,31515940,31741732,31796494,31805101,31827992,31882254,31996640,32057230,32376772,32503876,32521173,32708568,32722256,33022221,33045454,33064381,33578465,33772173,33851236,33990701,34004826,34174179,34329879,34372102,34520181,34553140,34561441,34639741,34882565,34924141,35049678,35420398,35511701,35532622,35534730,35805601,35806491,35996220,36520375,36663022,36797139,36812538,36824693,36934583,37125795,37410621,37492773,37819128,37886981,37903712,37912865,37946053,38021758,38395968,38427123,38468676,38584078,38980695,39245941,39319813,39600848,39858269,39946173,40010020,40150261,40294158,40352973,41083701,41130718,41330662,41463768,41579408,41657941,41783045,41826389,41859078,42054981,42297261,42303250,42431140,42533998,42546519,42626775,42641676,42667174,42792430,42793012,43103301,43195464,43229453,43265572,43323358,43534360,43726429,43791341,43824450,43920545,43987173,44067381,44154901,44197375,44535389,44550954,44674534,44772629,44788173,45189892,45468560,45495438,45666501,45746575,46177131,46514254,46646739,46662022,46700781,46746080,46776834,47213158,47234830,47745365,47815453,47839973,48012024,48168545,48194355,48278278,48368068,48591365,48594897,48644638,48689861,48776878,48779461,48976155,49523864,49891630,50036513,50139654,50279045,50418238,50640981,50763900,50917368,50961495,51152130,51153214,51187821,51350916,51407312,51421054,51600709,51634036,51936733,52021661,52241232,52355661,52589340,52594421,52642414,52704654,52763690,53036850,53053773,53440773,53542078,54013527,54148160,54198622,54352558,54358928,54450721,54562272,54829153,54895890,54972775,55059621,55625638,55714347,55734733,55741798,55826781,55923076,56006692,56036902,56056461,56065630,56095296,56556545,56572640,56681796,56890369,57282039,57294438,57407014,57444733,57457301,57521912,57524981,57802254,57833226,58197781,58309638,58548868,58555616,58679182,58771386,58795773,59173773,59486014,59506318,59669715,59833318,59869956,59886253,59942212,60052721,60081118,60228181,60334854,60369771,60575896,60594094,60916680,61153794,61382556,61507972,61807960,61919398,62101581,62342465,62753045,62872453,63078430,63107208,63228929,63266621,63316428,63584692,63644220,63647696,63695341,63737061,64391765,64402773,64557454,64712151,64809838,64977792,64999288,65066541,65121595,65296132,65352250,65507973,65599438,65673469,65706214,65821793,65875068,65967330,65982241,66133553,66315021,66541222,66607773,66856558,66958781,66973173,67265061,67278756,67381414,67650701,67771256,67867854,67887168,68028481,68147883,68219518,68307790,68356221,68531265,68566043,68578453,68640728,68735236,69097240,69397741,69492340,69533955,69796654,69802701,69874773,70365152,70498054,70665981,70819918,70889045,70968029,70995609,71035375,71166781,71229508,71518933,71561315,71603658,71712901,71868775,71980612,72023873,72025773,72453461,72545187,72885461,73076020,73093173,73100016,73124199,73301765,73316452,73548958,73590949,73659238,73759588,73842989,73872501,73960132,74169552,74578461,74690461,74753956,74772293,74810958,74934502,75218081,75303654,75376700,75694116,75747315,75755669,75959302,75983181,76242663,76373064,76565614,76598878,76891501,76971029,77030821,77038275,77220819,77270118,77667718,77734395,77849278,77858029,78072261,78145914,78247294,78422700,78571515,78763821,78881045,79155581,79160796,79631140,79743821,80002581,80009560,80146013,80345301,80797136,80824101,81249953,81369861,81760798,81969348,82010020,82174160,82237518,82425101,82645198,82795173,82823045,82844461,82916688,83200461,83231101,83274053,83374709,83390808,83440746,83584612,83641240,83650880,83806773,83809616,84209901,84364702,84980020,85056868,85066854,85213941,85242450,85271549,85281589,85323172,85551790,85563761,85873578,85919697,86242530,86294542,86322776,86392708,86477973,86866455,86884021,87117665,87385901,87691224,87864981,87890278,87962118,87973054,87998653,88152838,88390581,88395553,89143078,89337412,89439341,89639963,89817790,89828061,90010755,90023181,90175375,90452040,90736773,90742078,90765075,90863821,90880078,90896778,90925280,90931295,90943061,91264798,91981252,91992032,92147374,92445930,92657552,92732181,92827229,92845155,92903765,93016372,93030850,93281274,93324056,93625773,93789581,93814659,93866020,93905038,94096395,94107240,94285818,94316038,94657254,94718629,94957341,95557368,95647541,95664574,95776341,96011472,96336545,96439588,96482176,96543262,96816080,96834598,97113123,97259864,97636541,97724053,97951490,98046653,98412024,98608865,98608992,98652627,98803981,99034832,99042142,99139630,99257973,99387654,99735838,...,937314844046920377476864378392252245063253224172842815020392054862938005937516763377949531719962022685582295844882554034801458301572200707684403610693355110511454076597759394325927001493509529304468514774443030569566730716454866446741927124271606290455878669972413122218999093348017118607648521405528453988519909519781256039063196950154845271459503084150034275668127712727719921881218863701572494167066502983614345783512223627321936636213397902430902501486521443289718572751404773923610430469623680752892855546906725125531836202213884562104264797235244526050415622683815286200317738461020542723706951956454632333082884017799984317272346503234517652775949230594991668348620350107662439765704418283295539475866366376483144657974463152294144276279130793095666700908473567464458075506021787849608432142154035142881691279605170752557340864034056493785772357035679448346587194668793585693275008225408603526358732583400897666535258204076240630255070522968905278792696195670814017160876719615781041149665873950910888797037097796464313814785337564784604422393110813429215868418160372471467911972576778808775887604883603513431291993122050434572266712455121000331389491981157060027007002949363233378286708055259081499433066261290410101495112512158845047539206292046627723820013906476725405820789905279841300246773429966620806787083150302380543359085461229101469689947947609413658899661352105651969806165331419527436102448002174231263117473731926981695819891322474344175981102441611177918890834697953657058298020095951203926019972101637928757351457217138250247823957584516608256430225024154510541773191703411697748977572122001534553437144920620767170746542603664562323438376355095778709490850398601758822145187367590663185141440406348867214094619097353280764355278634991729430666450360253592816587660917720699881779018685683344409547304358593464849296047168433252757243670986772902314082017404125838350754081811069059611261159339581337417527389662511369051987263233022539987912015221558129961722816031512223169835188050983877595662991367190042584015506371724264446755943705469879445569374356894479922132831264296769460941255262842300432718306665747469102879397499920712794981076461089689472706628236060801167735171626777599906708320612340674648980685168256332537362957129215933927766524403033714785919319738990898839641963366404461832685196617553780231973260153992005135848249782775540675124296043472173465023090758973798872076554480086657433033597293780879783363}
15412  1669157247151925937117651465189289016850807765476168665166395335: {169411,431228,446107,584858,616040,693045,739248,814027,831654,1046588,1137602,1272307,1728787,1872578,1906748,2274187,2422298,2726707,2830472,2887868,2970722,3001245,3153242,3184281,3201328,3555321,3567464,3601494,3622364,3626347,3805411,3984187,4013397,4232525,4245338,4251811,4608218,4696411,4843964,5079030,5279113,5404027,5417632,5453564,5774984,5873762,6094836,6137817,6184028,6413978,6496857,6631267,6670364,6773402,6892411,7148445,7306925,7541590,7625008,7758211,7799181,8005148,8205338,8368508,8445667,8489564,8578134,8768310,8872987,9049908,9094364,9152885,9352864,9362157,9468211,9637627,9722227,9907845,10159202,10180988,10512578,10521972,10568368,10773700,10899067,10983462,10998845,11024348,11145425,11315947,11393498,11394357,11625788,11889414,11920322,11979211,12378485,12555787,12928440,13029401,13075550,13095944,13198614,13225821,13374510,13789581,13790336,13840922,13869177,14266144,14535002,14544495,14732937,14854182,14896437,15391000,15514128,15571802,15624211,15690660,15745025,15862027,16049412,16068965,16088258,16289564,16408508,16510925,16571587,16734824,16736704,16765148,16787445,16991585,17083437,17314875,17453394,17683550,17818627,17906608,18141122,18469200,18544028,18613430,18651098,18755781,18826677,18828792,18894030,18990362,19123411,19135388,19282758,19446845,19597942,19700480,19813110,19836002,19961948,20128493,20144934,20153632,20337425,20389902,20631811,20777850,20855587,20904668,21004411,21082472,21133984,21182391,21220260,21349082,21523027,21744211,21805064,21891307,22040165,22163037,22163040,22184642,22213985,22257787,22271685,22336116,22634944,22672836,22858521,23336214,23499357,23562211,23640576,23705707,23717781,23756464,23775732,24188021,24285741,24404910,24530697,24834242,24933420,24998618,25391733,25464312,25490882,25544947,25823587,26031904,26239387,26285564,26308442,26448198,26579917,26595648,26656782,26701017,26726022,27139353,27212525,27330428,27562268,27741811,27849493,27943987,27975425,27997060,28134717,28282472,28546627,28578458,28603964,28619997,28631974,28647351,28754990,29061218,29102685,29285892,29382338,29920104,30254827,30501722,30661058,31024508,31042864,31138202,31146344,31255565,31345411,31485950,31622261,31786925,31817781,31851427,31930562,32172188,32246498,32574824,32655030,33088028,33091737,33165748,33219211,33525211,33570510,33596472,33660117,33660357,33774481,33896841,34071425,34229948,34312387,34441922,34505988,34650742,34731211,34799708,34832032,34850227,34923222,35039637,35064002,35323411,35733667,35808544,35870613,36280797,36371227,36381982,36646677,36658147,36762842,37226587,37264245,37339411,37376282,37506678,37783140,37796031,37862588,37864865,37971310,38010307,38065747,38092565,38144310,38748098,38991068,39159427,39185997,39186036,39202778,39394925,39535411,39677165,39748528,39784990,39891548,39936633,39960787,39995800,40054677,40284612,40302016,40408922,40470965,40590211,40629845,40677788,40687264,40885710,40902820,40933574,41396253,41456738,41686364,42010521,42314045,42366811,42497498,42509672,42711547,43191425,43333381,43361564,43611424,43678298,43961107,44029628,44382307,44552697,44613787,44703938,44717094,44981398,44995275,45029564,45071347,45116707,45339768,45437838,45565572,45566347,45655411,45711078,45744187,45773172,45788467,46026908,46314211,46589978,46616107,46658947,46732904,47165402,47273910,47376211,47379640,47459227,47564062,47595458,47612598,47694741,47741988,47823381,47994960,48085845,48451682,48512227,48565158,48593882,48755814,48865387,49062852,49083384,49250947,49501060,49568181,49880828,49990364,50012525,50183347,50219707,50331673,50364427,50425504,50472211,50709602,50776854,50931787,51007239,51194624,51236164,51291568,51558153,51829710,51974260,52102082,52173211,52491811,52574517,52585987,52864627,53003909,53038925,53047147,53130597,53256811,53261564,53298933,53302095,53404411,53462947,53480162,53491265,53492107,53617178,53636827,53725544,53751307,53803964,53836411,53890778,53901749,53994330,54081965,54300098,54387211,54417950,54440707,54778268,54832747,54994533,55218807,55233067,55285024,55330267,55520282,55684507,55691734,55812104,55978411,56044507,56073308,56193122,56260147,56396348,56406811,56487365,56728692,56767747,56806411,56835700,56855568,56862362,56874377,56901811,57032347,57032637,57123427,57156814,57262178,57471068,57551827,57593952,57611609,57703014,57802387,57876117,58048411,58075987,58116811,58286227,58408267,58432600,58567027,58649564,58681867,58731187,58750411,58756508,58859707,58942867,58979738,59040211,59119267,59241811,59241818,59299849,59351107,59360827,59367307,59368747,59401272,59717564,60015030,60060637,60441237,60460085,60543578,60660584,60888668,61317722,61569508,61696077,61904830,61958882,61995993,62195652,62267708,62369112,62788617,63230402,63454875,63646710,63693773,63800997,63962514,64000761,64016032,64188645,64189518,64259140,64542545,64612442,64793196,64898358,64985037,64986338,65301540,65730242,65736675,66067661,66826431,66852872,67011801,67521308,67567322,67685200,67784838,67889824,67948660,68051738,68202840,68243157,68250428,68413538,68467888,68774042,68893922,69654976,69771381,69807548,69903845,69993033,70008365,70119120,70165251,70272872,70439258,70557122,70697494,70715800,70738364,70819737,70852245,71254364,71261282,71727842,71902390,72018036,72089173,72417417,72552102,72749696,72966957,73165317,73186085,73194520,73333414,73412828,73571042,73830713,74285796,74435708,74478818,74741948,74793728,74816858,74837445,74927765,75153602,75209481,75468593,75532429,75575728,75627357,75711962,75719870,76145850,76146389,76376052,76392584,76487618,76707938,76728195,76729821,76884965,77026374,77069672,77110968,77131581,77259950,77451054,77583458,77746184,78069797,78361848,78394364,78884010,78898364,78963621,79056981,79093442,79145535,79480865,79555275,79559620,79826608,79943618,80154722,80313117,80446472,80493028,80993378,81075358,81201602,81222240,81249110,81297933,81528837,81538392,81620165,81658549,81843408,82343835,82643042,82802108,82846658,83438457,83612697,83884614,84010038,84055353,84098445,84142944,84156122,84336269,84421904,84554138,84714070,84752282,84858960,84982748,85022694,85102381,85539098,85800910,85870364,85919045,85941657,86110521,86282868,86371550,86509658,86637056,86655478,86703381,86749839,86755388,86798018,86865425,87180482,87343964,87464457,87823302,87833424,87956440,88018773,88126562,88157079,88420028,88594202,88810364,89036885,89229021,89259477,89297564,89686748,89705008,89749977,89804934,89884442,89913318,89975765,90066458,90121677,90428762,90490472,90502281,90516224,90788762,90863844,90891141,91141628,91345025,91375020,91645565,91678682,91730691,92073834,92118242,92199485,92261958,92450165,92640962,92711940,92727578,92879097,92900378,93070268,93166364,93442445,93500642,93585818,93978598,94220875,94221308,94617645,94660812,94974642,95011778,95031433,95377038,95466330,95471544,95505122,95912282,95977297,96034364,96074138,96396122,96726916,96836181,97191002,97214757,97457564,97466688,97498932,97944198,98028375,98279642,98399157,98432858,98496668,98559321,98812602,98813378,98892736,98950995,99437948,99538925,99711938,99747944,99811833,99933338,...,1249753125395893836635819171189669660084337632230457086693856073150584007916689017837266042293282696914109727793176738713068611068762934276912538147591140147348605435463679192434569335324679372405958019699257374092755640955273155262322569499028808387274504893296550829625332124464022824810198028540704605318026546026375008052084262600206460361946004112200045700890836950303626562508291818268763325556088670644819127711349631503095915514951197203241203335315361924386291430335206365231480573959498241003857140729208966834042448269618512749472353062980326034733887496911753714933756984614694056964942602608606176444110512023733312423029795337646023537034598974126655557798160466810216586354272557711060719301155155168644192877299284203058859035038841057460888934544631423285944100674695717132811242856205380190508921706140227670076454485378741991714363142714239264462116259558391447591033344300544804701811643444534530222047010938768320840340094030625207038390261594227752022881168959487708054866221165267881185062716130395285751753047116753046139229857481084572287824557547163295290549296769038411701183473178138017908389324162733912763022283273494667108519322641542746702676003932484311171048944073678775332577421681720546801993483349545126730052275056062170298426685208635633874427719873706455066995697906622161075716110867069840724478780614972135292919930596812551545199548469474202626408220441892703248136597336232308350823298309235975594426521763299125567974803255481570558521112930604876077730693461268271901359962802183905009801942956184333663765276779355477675240300032206014055697588937882263665303429496002046071249526560827689560995390138219416431251168473461038279321133864802345096193583156787550913521920541798489618792825463137707685807038179988972574221933813671457088783547890294266509038691580911125879396405811457953132394729557911003676324894649030536418776023205501117801005442414758746148348212452775116556703186216681825402649684310696719983882686962077506615630421375349630893113584067978503460883988489586723445354008495632352595674591607293172594092499142525973229510441685729025947921673683789733910291075554329958803839196666560950393308101948119585963608837648081068223646895502370133208944427483120899531974246891008443383150609505621245237022032537378286381225759651987865119522617821872615776913595490071706975964346871989340181130999710367387566832394724629564620030787678631731829435405973448876577378129725041173044484}
15413  1676607968748215269117128307651939753202201311606807236745463655: {15413,539035,646842,770050,877287,924060,985664,1108872,1247481,1308235,1569882,1706403,1862311,2383435,2476663,2801162,2808867,2860122,3121531,3215047,3399643,3538090,3609835,3633447,4001660,4245708,4331802,4456083,4459330,4527955,4597723,4729863,4740428,4801992,4903987,4966771,5053111,5351196,5402241,5433546,5753242,6010843,6054955,6368007,6671882,6772040,6816955,6912327,6927811,7218730,7264807,7265946,7618545,7730035,7780762,8126448,8180346,8183756,8186347,8337955,8662476,8810643,8887906,8948467,9142254,9247322,9276042,9531260,9620967,9660811,10005546,10006435,10160103,10245787,10398908,10460635,10611955,10950967,11099306,11312385,11367955,11437512,11458951,11691080,11973511,12007722,12066544,12263851,12308007,12309187,12482876,12552762,12726235,12734346,12867201,13152465,13210460,13467125,13574862,13641546,13780435,13853818,13986247,14029296,14148667,14474107,14532235,14642971,14644616,14777282,14991427,15192476,15238803,15271482,15668282,15768867,15782958,15852552,16160550,16369930,16475193,16536522,17090247,17237920,17333767,17438682,17459731,17598152,17634428,17832680,17834121,17880483,18095258,18386108,18447163,18492236,19004227,19079431,19238750,19392660,19613325,19643916,19797921,19805576,19861916,20061765,20087587,20361955,20488906,20510635,20685504,20761383,20786906,20804167,20918530,20920880,20956435,21399216,21506587,21606643,21802503,22005511,22281273,22383260,22456603,22777916,23086500,23159491,23180035,23271192,23337127,23357703,23535990,23563747,23919235,23943898,24074118,24132387,24434346,24612762,24625600,24747163,24952435,25007708,25015927,25080266,25102236,25105056,25147722,25185547,25192040,25228051,25710344,25771411,26003107,26130835,26180091,26353090,26417480,26525325,26657131,26706602,26859912,27025027,27162506,27183403,27186536,27211683,27253051,27256330,27703800,27810691,27816042,27920145,27976647,28243188,28293680,28326811,28341045,28485543,28502971,28703082,28924137,29221063,29396913,29500778,29550716,29550720,29695580,29719665,29754003,29781488,29942922,30217401,30230448,30478028,30584853,31078471,31114952,31166775,31332476,31357002,31465226,31520768,31529467,31623708,31700976,31830390,32023623,32380988,32539880,32707596,32856955,32965771,33070843,33244560,33276963,33288187,33504174,33839671,33855644,33952416,33994378,34009254,34163035,34245523,34452835,34779962,34996325,35004321,35264264,35353090,35460864,35516347,35537258,35538211,35542376,35601356,35634696,35663598,35754955,36185804,36214903,36607365,37042147,37195963,37251363,37400130,37497927,37512956,37989607,38003482,38144683,38159996,38196468,38220787,38236323,38780635,38803580,38932930,39047856,39364327,39428346,39462663,39672297,39704923,39893472,39985173,40089033,40191811,40215235,40718530,40891291,40995642,41343402,41360035,41457185,41602906,41995590,42210643,42423708,42446311,42494906,42787435,42867687,42905946,42947961,42997363,43002331,43132485,43329026,43499635,43540040,43591827,43797127,43928838,44005258,44073507,44122316,44583223,44760680,44775523,44795296,44880122,44880156,44880476,45105511,45195788,45752583,45789907,45969626,45975367,45991587,46002682,46007984,46305331,46536762,46564296,46707303,46707847,46719516,46739011,47009851,47105227,47121346,47228925,47328235,47404531,47827484,47895843,48176551,48258282,48315271,48369747,48374396,48738835,48783242,48835591,48862236,48982545,49431187,49461667,49632042,49685660,49748622,49864435,49994750,50008904,50043067,50340091,50355765,50377520,50394708,50424842,50847235,50859080,50901451,51128525,51344922,51536098,51626311,51662883,51753403,51758982,51976113,52028467,52107955,52199562,52230907,52247996,52248048,52384833,52596003,52913107,53078011,53137090,53248844,53406236,53487307,53712816,54201955,54514280,54559303,54572973,55006363,55037035,55144263,55146026,55195004,55614106,55966042,56014028,56064423,56260017,56286955,56674710,56760631,56793882,56956965,57086023,57216465,57520843,57532507,57533635,57542563,57788467,57936458,57953962,58122147,58416130,58486602,58496263,58779054,58804167,59145403,59224550,59403596,59622792,59677485,59837322,59841146,59909402,59993700,60426918,60429511,60449971,60453024,60548443,60583784,60613383,60754096,60948104,61016682,61030896,61328565,61354230,61400361,61488763,61876325,62157043,62185107,62213762,62351035,62487955,62529546,62634106,63031880,63237211,63483464,63592988,63610202,63655984,63746247,63764508,63814603,63903691,63993280,64045205,64114460,64240627,64480987,64753544,64967825,65007752,65042346,65417136,65444512,65517447,66044442,66090908,66128762,66142291,66313267,66576955,66705307,66769207,66843511,67055907,67075641,67117747,67156930,67203523,67254955,67435963,67472097,67544346,67702472,67904083,67981402,68009652,68027911,68156757,68210347,68348358,68472835,68566617,68659758,68744204,68839483,69040362,69056647,69106280,69122882,69279482,69328531,69611371,69765130,69848282,69884967,70091635,70099356,70225063,70361227,70390663,70495435,70694947,70748103,70840796,70910865,71023402,71044625,71065244,71069460,71297347,71346093,71393187,71418897,71611202,71612982,71838835,71992440,72033307,72677523,72847737,72890823,73040750,73133721,73311955,73326044,73445635,73594278,73625076,73649386,73695931,73869166,73888183,73913971,74251590,74646955,74769643,74782087,74821242,74985546,75609607,75638256,75773962,75807424,75825730,75892106,76043516,76064403,76084327,76110835,76165281,76737511,76791936,76854246,76937352,76961885,76981111,77168156,77306947,77744565,77834635,77961390,78153123,78467083,78491882,78629287,78639626,79139227,79179163,79201696,79716538,79852987,79892346,80020040,80220243,80256643,80300522,80323925,80425767,80588316,80705946,80836167,80991495,81450147,81626925,81681427,81859411,82167402,82261436,82661324,82862827,82927536,83158816,83280423,83315882,83537601,83566090,83652778,83718156,83871307,83946451,83970907,84067267,84109962,84154027,84289683,84401635,84594522,84606500,84862280,84877543,84935825,85067996,85093038,85253550,85283352,85293543,85313035,85334348,85584860,85586024,85598887,85610167,85735221,85893267,86137363,86206602,86390928,86458906,86531144,86554521,86646716,86763331,86812867,87068720,87259435,87268987,87279451,87397447,87452858,87582682,87648900,87841090,87854263,87974346,88134762,88309802,88394750,88422955,88469607,88862727,89067955,89070778,89101908,89125447,89349068,89529427,89545258,89576346,89737603,89921287,90022545,90148471,90379784,90808771,90815367,90937120,90990876,91170233,91333002,91493150,91766035,91976583,92354262,92843587,92857245,92938323,93028508,93044635,93153511,93293478,93324044,93401562,93427435,93492160,93553627,93553668,94426316,94469660,94845603,95470065,95490730,95630906,95679946,95943771,96024048,96284277,96337090,96388710,96556556,96736136,96754531,96918663,97182730,97189794,97289276,97347537,97379722,97411483,97479507,97553756,97558922,97749643,97952310,97992955,98046187,98331463,98533747,98595363,98622955,99047728,99244663,99449525,99477991,99783260,...,1874629688093840754953728756784504490126506448345685630040784109725876011875033526755899063439924045371164591689765108069602916603144401415368807221386710221022908153195518788651854002987019058608937029548886061139133461432909732893483854248543212580911757339944826244437998186696034237215297042811056907977039819039562512078126393900309690542919006168300068551336255425455439843762437727403144988334133005967228691567024447254643873272426795804861805002973042886579437145502809547847220860939247361505785711093813450251063672404427769124208529594470489052100831245367630572400635476922041085447413903912909264666165768035599968634544693006469035305551898461189983336697240700215324879531408836566591078951732732752966289315948926304588288552558261586191333401816947134928916151012043575699216864284308070285763382559210341505114681728068112987571544714071358896693174389337587171386550016450817207052717465166801795333070516408152481260510141045937810557585392391341628034321753439231562082299331747901821777594074195592928627629570675129569208844786221626858431736836320744942935823945153557617551775209767207026862583986244100869144533424910242000662778983962314120054014005898726466756573416110518162998866132522580820202990225024317690095078412584093255447640027812953450811641579810559682600493546859933241613574166300604761086718170922458202939379895895218827317799322704211303939612330662839054872204896004348462526234947463853963391639782644948688351962204883222355837781669395907314116596040191902407852039944203275857514702914434276500495647915169033216512860450048309021083546383406823395497955144244003069106874289841241534341493085207329124646876752710191557418981700797203517644290374735181326370282880812697734428189238194706561528710557269983458861332900720507185633175321835441399763558037371366688819094608717186929698592094336866505514487341973545804628164034808251676701508163622138119222522318679162674835054779325022738103974526466045079975824030443116259923445632063024446339670376101967755191325982734380085168031012743448528893511887410939758891138748713788959844265662528593538921882510525684600865436613331494938205758794999841425589962152922179378945413256472121602335470343253555199813416641224681349297961370336512665074725914258431867855533048806067429571838639477981797679283926732808923665370393235107560463946520307984010271696499565551081350248592086944346930046181517947597744153108960173314866067194587561759566726}
15414  1684091684757151460364048552685726623435883194060182981724906137: {200213,338822,353993,476873,568949,630293,814133,862456,892214,970263,1155075,1169716,1232080,1272473,1386090,1478496,1546613,1628054,1637849,1663308,1941449,2092949,2093176,2275204,2304713,2354823,2544614,2636693,2757173,2997749,3447449,3457574,3656693,3745156,3813496,4192949,4201743,4282073,4290183,4430453,4548374,4637849,4726613,4844596,4992473,5002075,5080949,5307135,5316533,5453414,5660944,5756873,5775736,5925535,5941444,5961749,6002490,6020213,6306484,6368562,6402656,6457673,6497703,6688995,6835349,6922313,6980249,7110642,7134928,7202988,7244728,7252694,7327193,7610822,7787993,7968374,8026794,8132249,8150319,8361113,8465050,8475353,8490676,8503622,8629863,8703449,8788853,8902613,9129749,9216436,9328073,9392822,9497753,9554249,9687928,9751733,9920693,9976949,10007823,10061273,10158060,10173593,10229695,10313813,10558226,10808054,10828095,10835264,10898919,10907128,11095349,11150933,11511449,11549968,11671143,11747524,11914075,11980853,12008393,12189672,12270519,12275634,12368056,12420533,12475349,12557513,12748949,12803573,12814039,12827956,12993714,12998635,13212233,13262534,13331859,13340728,13546804,13713381,13781333,13784822,13870983,13914063,13970249,14104949,14185673,14293193,14296890,14588213,14613850,15008319,15083180,15250016,15398383,15516422,15573449,15598362,15603595,15626393,15652853,16010296,16410676,16513075,16573913,16648959,16678553,16737016,16891334,16965653,16979128,17156268,17277749,17329879,17536620,17536949,17745974,18011583,18099816,18188728,18305770,18437849,18693449,18705728,18724314,18829143,18936422,18990595,19101519,19275254,19379573,19444454,19815690,20210249,20260313,20318404,20361976,20362293,20462319,20634773,20659673,20780727,20784053,21007433,21025156,21043944,21136736,21254873,21547400,21798134,21894473,21966924,21997690,22043035,22048696,22165923,22187849,22290850,22496551,22631894,22786996,22788714,22795349,22867913,22907223,22982635,23115295,23229653,23251576,23502423,23565653,23589593,23674437,23709173,23778828,23788219,23840644,23958422,24240825,24351449,24517013,24554895,24756970,24776393,24804783,24827395,25058249,25111574,25222133,25408949,25688213,25856880,26058802,26151100,26158023,26191888,26266313,26397228,26451642,26519093,26748053,26749020,26793749,26862233,27021749,27142887,27225583,27579162,27580672,27681844,27738354,27768473,27813449,27979075,28472395,28532288,28585843,28858125,29070004,29088990,29465874,29476949,29542553,29629913,29708364,29792874,29804249,30021449,30086453,30281033,30711113,30733359,30782000,30856231,30924953,30988949,31028256,31031573,31099579,31143604,31180359,31248422,31259635,31350233,31377795,31381320,31490050,31667093,31724054,31730249,32003093,32098824,32137930,32176516,32316233,32503253,32579128,32817016,33021850,33143174,33224393,33244853,33469648,33473408,33530296,33574890,33652373,33895349,33983170,34036553,34166874,34257653,34437833,34629750,34906788,34994249,35092949,35303985,35329013,35342527,35348633,35367100,35637254,35680949,35813216,35914133,35915847,36111177,36165449,36261749,36282244,36319433,36453749,36549449,36651519,36835349,36892313,36919143,36938395,36938400,37088056,37119475,37226860,37251413,37302196,37371763,37457993,37511562,37588949,37620399,37626293,37653354,37657584,37721583,37788060,37868249,37980724,38097535,38246822,38270776,38512949,38565516,38749913,38893690,38967449,39111833,39165595,39195884,39237749,39400960,39529635,39541913,39559733,39595349,39626220,39672004,39719753,39923896,39985013,40037849,40059903,40090613,40256986,40289868,40307264,40353353,40476235,40596953,40614293,40674850,40743759,40779804,40884495,40907849,41130773,41263622,41369333,41555700,41623193,41711174,41724063,41791433,41809336,41841749,41925449,42008822,42092249,42164944,42267968,42319555,42364782,42373973,42390473,42440520,42472853,42587849,42637013,42698164,42784073,42832949,43046054,43054623,43108553,43317749,43488422,43605173,43610128,43757791,43782614,44078453,44080330,44109749,44251167,44296853,44326074,44326080,44369284,44427970,44501695,44515574,44543370,44621513,44672232,44914383,44988233,45033749,45079193,45139673,45230153,45232255,45260249,45269888,45345672,45410249,45678233,45717042,45811253,46336853,46581449,46672428,46766933,46795349,46891195,46998714,47035503,47105813,47124422,47197839,47217749,47281152,47384693,47398553,47411414,47435562,47467733,47512928,47551464,47674073,47699995,47745585,47769749,47973449,48175349,48376042,48504475,48571482,48600053,48731093,48809820,48835349,49061394,49259993,49412249,49500533,49538249,49638473,49668484,49866840,49997236,50009753,50256261,50301593,50373833,50493593,50659913,50783466,50848073,50871449,50928624,50953013,50981764,50991567,51013881,51022613,51045749,51089894,51647174,51724949,51802313,51835349,51999449,52063808,52169943,52193993,52478774,52480949,52501973,52571128,52606613,52616884,52669013,52844249,52896396,52946249,52966553,53010811,53029635,53159834,53191296,53277173,53296949,53305887,53313564,53329591,53402034,53452044,53473493,53495397,53512373,53618633,53714393,53828249,54107849,54263093,54278706,54425050,54451673,54557849,54645449,54660856,54662873,54775349,54801113,54877973,55054793,55124536,55152895,55154249,55341653,55437749,55483622,55516949,55548031,55696073,55698986,55726793,55765013,55810613,55863449,55887974,55950850,55994120,56012249,56063573,56100195,56100595,56143433,56215193,56269434,56321333,56418773,56494735,56521433,56564944,56608949,56628953,56659351,56727893,56786393,56881783,56882453,56914073,56920373,57005223,57044693,57093254,57156916,57159833,57207928,57239994,57263948,57294702,57295349,57312713,57352949,57381449,57449033,57482393,57509980,57618293,57619111,57820313,57875093,57894773,57919193,57991253,58052249,58061513,58066133,58120949,58122436,58187849,58205370,58286933,58303733,58328693,58385813,58399395,58449173,58456949,58558793,58571784,58633973,58647893,58698953,58764676,58820249,58850249,58856153,58873673,58885193,58935449,59033033,59054453,59061449,59088713,59116949,59133653,59142519,59182553,59186249,59191733,59229749,59239663,59248853,59257973,59332313,59344949,59346773,59349449,59357849,59368949,59370293,59372249,59376533,59379893,59384393,59390453,59396693,59397449,59397593,59784355,59840208,60467995,60509654,61003444,61077795,61322116,61493463,62015103,62049016,62085728,62107075,62276404,62292688,62404359,62511130,62690822,62971900,62993385,63244522,63573850,63635562,63702067,63702854,63742359,63861124,64344376,64358919,64492996,64993539,65149648,65309995,65310060,65893257,66007887,66176056,66183474,66331496,66438422,66561055,66757795,67050422,67141020,67192944,67320183,67320234,67320714,67548962,67793682,68086447,68142850,68459896,68624774,68883844,68954439,68993755,69004023,69011976,69301484,69462422,69599416,69664064,69700454,69805143,69846444,70017535,70079274,70128004,70646822,70682019,71467334,71617088,71741226,72387423,72561594,72742454,72763964,73174863,73293354,73316294,73525684,73840327,74254495,74448063,74453174,74528490,74622933,74678822,74752564,74887771,74992125,75013356,75274459,75566280,75592062,75637263,75714751,75725176,75729730,75942620,76020614,76131494,76185130,76288620,77017383,77304147,77496196,77638473,77982136,78079963,78299343,78318854,78371994,78372072,78405556,78789850,79070822,79082311,79354330,79491235,79497056,79569980,79705635,79783096,79860847,79873266,79921574,79991600,80109354,80143075,80569224,80604032,80817844,80941930,81180422,81259690,81355576,81374528,81771420,81805640,81867148,82613635,82719039,82792506,82913476,83372728,83421159,83949063,84021042,84347251,84628090,84644119,84733622,84994996,85012065,85019344,85190823,85423094,85930255,86382850,86666762,86723128,86904687,86930943,87222848,87254479,87356596,87624195,87729903,87922214,88059256,88168581,88550995,88764614,88831555,88836825,89105394,89227574,89407876,89434188,89755983,89761719,89864103,89962796,89990550,89991187,90059128,90142694,90233414,90359563,90640377,90679536,90875676,91131144,91132694,91310822,91422156,91488374,91525023,91546344,91576934,91657555,92031345,92053816,92628422,93179956,93232214,93317894,93320643,93465808,93794319,93951159,94258183,94330804,94547820,94752422,94759280,94918454,95054395,95128124,95190916,95225196,95389482,95415303,95483976,95646762,95989920,96171690,96460195,96903364,97024454,97130316,97187764,97511628,97563519,97730774,97865383,98011711,98125704,98166768,98501894,99002120,99066663,99136362,99193143,99761656,99980728,...,2811944532140761132430593135176756735189759672518528445061176164588814017812550290133848595159886068056746887534647662104404374904716602123053210832080065331534362229793278182977781004480528587913405544323329091708700192149364599340225781372814818871367636009917239366656997280044051355822945564216585361965559728559343768117189590850464535814378509252450102827004383138183159765643656591104717482501199508950843037350536670881965809908640193707292707504459564329869155718254214321770831291408871042258678566640720175376595508606641653686312794391705733578151246868051445858600953215383061628171120855869363896999248652053399952951817039509703552958327847691784975005045861050322987319297113254849886618427599099129449433973923389456882432828837392379287000102725420702393374226518065363548825296426462105428645073838815512257672022592102169481357317071107038345039761584006380757079825024676225810579076197750202692999605774612228721890765211568906715836378088587012442051482630158847343123448997621852732666391111293389392941444356012694353813267179332440287647605254481117414403735917730336426327662814650810540293875979366151303716800137365363000994168475943471180081021008848089700134860124165777244498299198783871230304485337536476535142617618876139883171460041719430176217462369715839523900740320289899862420361249450907141630077256383687304409069843842828240976698984056316955909418495994258582308307344006522693789352421195780945087459673967423032527943307324833533756672504093860971174894060287853611778059916304913786272054371651414750743471872753549824769290675072463531625319575110235093246932716366004603660311434761862301512239627810993686970315129065287336128472551195805276466435562102771989555424321219046601642283857292059842293065835904975188291999351080760778449762982753162099645337056057050033228641913075780394547888141505299758271731012960318706942246052212377515052262245433207178833783478018744012252582168987534107155961789699067619963736045664674389885168448094536669509505564152951632786988974101570127752046519115172793340267831116409638336708123070683439766398493792890308382823765788526901298154919997242407308638192499762138384943229383269068418119884708182403503205514880332799720124961837022023946942055504768997612088871387647801783299573209101144357757959216972696518925890099213385498055589852661340695919780461976015407544749348326622025372888130416520395069272276921396616229663440259972299100791881342639350089}
15415  1691608540129209467912672426056918235897136806350992150513988487: {30826,508233,754649,1078070,1293684,1338321,1462145,1540100,1754574,1831529,1848120,1971328,2079135,2200913,2217744,2442081,2494962,2616470,2844005,3139764,3336809,3412806,3724622,3799601,3816921,4681445,4766870,4953326,5053769,5186361,5242193,5551097,5602324,5617734,5720244,5795621,6055745,6243062,6339137,6430094,6718001,6799286,6822561,7076180,7219670,7265753,7266894,7426805,7883105,8003320,8180121,8187413,8476937,8491416,8585681,8663604,8912166,8918660,9003735,9055910,9195446,9459726,9480856,9543737,9552843,9603984,9662069,9807974,9933542,10106222,10575461,10613345,10665963,10702392,10797377,10804482,10822049,10867092,10879041,10952393,11416233,11506484,11520545,11673137,11952561,12021686,12040191,12109910,12310793,12697575,12736014,12755433,13343764,13544080,13633910,13706657,13824654,13855622,14009009,14089233,14150513,14437460,14529614,14531892,14547221,14644889,14684405,14856737,15180161,15237090,15460070,15561524,15837339,15915137,16034945,16212081,16252896,16332569,16360692,16367512,16372694,16469477,16529201,16675910,16933505,17324952,17462009,17621286,17717141,17775812,17816729,17896934,18284508,18413451,18494644,18552084,18853975,19062520,19241934,19292609,19321622,19490571,19513817,19893801,20011092,20012870,20320206,20345129,20485361,20491574,20513345,20573417,20677233,20797816,20921270,21223910,21341969,21445335,21509393,21901934,21920775,22198612,22459541,22624770,22735910,22875024,22917902,23274633,23382160,23397543,23947022,24015444,24133088,24148601,24527702,24616014,24618374,24965752,25105524,25188833,25337001,25398005,25452470,25468692,25720601,25734402,25884137,26006513,26281445,26304930,26420920,26618961,26660609,26934250,27028553,27149724,27283092,27327113,27458655,27560870,27580241,27707636,27823721,27972494,28058592,28086471,28196057,28297334,28330517,28343321,28404633,28483745,28506737,28714889,28912881,28948214,29064470,29166681,29285942,29289232,29339009,29554564,29723535,29764817,29800805,29982854,30384952,30477606,30542964,31082537,31336564,31537734,31565916,31659377,31705104,32321100,32417621,32452049,32688875,32697201,32739860,32950386,32970089,32996535,33073044,33436275,33441377,33486929,33703913,33947841,34180494,34183071,34475840,34602305,34667534,34877364,34912001,34919462,34933409,35068337,35196304,35262953,35268856,35665360,35668242,35760966,35937633,36057017,36190516,36219641,36337505,36583169,36772216,36844097,36894326,36984472,37135455,37667361,38008454,38158862,38297813,38477500,38785320,38849081,38929505,39088203,39226650,39287832,39595842,39611152,39677463,39719177,39723832,40123530,40175174,40211489,40220645,40678229,40723910,40977812,41021270,41368743,41371008,41522766,41573812,41607531,41608334,41837060,41841760,41912870,42048329,42798432,43007957,43013174,43213286,43605006,43633485,43885169,44011022,44198811,44208875,44562546,44689311,44718977,44766520,44913206,45170021,45352805,45555832,45968009,45999737,46173000,46318982,46360070,46533575,46542384,46627745,46674254,46715406,46822709,46872633,47071673,47071980,47127494,47176601,47235075,47475905,47499413,47586081,47828249,47838470,47887796,48023561,48148236,48206895,48233969,48264774,48290597,48868692,48994855,49225524,49251200,49494326,49532775,49590005,49714761,49904870,50015416,50031854,50056937,50160532,50204472,50210112,50295444,50346677,50362335,50371094,50384080,50456102,50673809,50974755,51250311,51418217,51420688,51542822,51753017,51760241,51944625,51958313,52006214,52261670,52360182,52706180,52834960,52931993,53050650,53306513,53314262,53372705,53413204,53455881,53494313,53719824,54050054,54292889,54325012,54366806,54373072,54423366,54475769,54506102,54512660,54566441,54880793,55237013,55407600,55461605,55621382,55632084,55840290,55953294,56198897,56267343,56301329,56480031,56486376,56587360,56653622,56682090,56768057,56889857,56971086,57005942,57090149,57370233,57406164,57848274,57904049,58040059,58340535,58442126,58793826,59001556,59101432,59101440,59153141,59391160,59439330,59508006,59562976,59885844,59902409,60385479,60434802,60437417,60457889,60460896,60756629,60899489,60956056,61012275,61012913,61169706,61579877,61672193,61895433,62085605,62156942,62229904,62333550,62477969,62496545,62566761,62664952,62714004,62930452,63013233,63041536,63058934,63247416,63401952,63547173,63660780,63727205,64047246,64288001,64489433,64569081,64761976,65079760,65232633,65415192,65673921,65713910,65771105,65931542,66120495,66141686,66259529,66321953,66489111,66489120,66553926,66576374,66641955,66773361,66815055,67008348,67468361,67626401,67679342,67711288,67904832,67988756,68018508,68234369,68295461,68326070,68491046,68575563,68905670,69386273,69538361,69559924,69620489,69810209,69992650,70008642,70498071,70528528,70686633,70706180,70921728,71032694,71074516,71076422,71084752,71117121,71153343,71186129,71202712,71204789,71206097,71269392,71305673,71327196,71446145,71509910,71537681,71579935,71887475,72371608,72429806,72564063,72653045,72672689,72857223,72951137,73214730,73455845,73592091,73923737,74084294,74109809,74143481,74391926,74502726,74800260,74995854,75025912,75138569,75882737,75920741,75979214,76006964,76175199,76254305,76289366,76319992,76392936,76441574,76472646,76634841,76652645,77051849,77256629,77317073,77470761,77561270,77607160,77845505,77865860,78095712,78171857,78714875,78718161,78728654,78759929,78778409,78801737,78856692,78925326,79149593,79344594,79409846,79739751,79786944,79826405,79970346,80103051,80178066,80383622,80430470,80547089,80616245,80818817,81368501,81418059,81437060,81612401,81637575,81782582,81991284,82686804,82720070,82914370,83205812,83225433,83298881,83548479,83831961,83926275,83991180,84260501,84404151,84421286,84847416,84892622,84989812,85035221,85073249,85574870,85639881,85735374,85811892,85852553,85859991,85895922,85942053,85994726,86004662,86104805,86264970,86284469,86626855,86658052,86999270,87080080,87183654,87291449,87308055,87327257,87483137,87594254,87644177,87660005,87857676,88010516,88021721,88147014,88244632,89166446,89521360,89551046,89590592,89663287,89698601,89760244,89760312,89760952,89917841,89957753,90211022,90391576,90764481,90954955,90973529,90989417,91047641,91505166,91579814,91907105,91939252,91950734,91983174,92005364,92015968,92454281,92610662,92747009,92925521,93073524,93128592,93207737,93414606,93415694,93439032,93440705,93478022,93766695,93778409,94019702,94036233,94106969,94156937,94210454,94242692,94249193,94457850,94656470,94809062,94866783,94928275,95360775,95453343,95554281,95654968,95791686,95861969,96353102,96516564,96630542,96739494,96748792,96870245,97477670,97566484,97671182,97724472,97951829,97965090,98006945,98128289,98693609,98799569,98862374,98923334,99246593,99264084,99275211,99371320,99462475,99497244,99657633,99728870,99989500,...,3749259376187681509907457513569008980253012896691371260081568219451752023750067053511798126879848090742329183379530216139205833206288802830737614442773420442045816306391037577303708005974038117217874059097772122278266922865819465786967708497086425161823514679889652488875996373392068474430594085622113815954079638079125024156252787800619381085838012336600137102672510850910879687524875454806289976668266011934457383134048894509287746544853591609723610005946085773158874291005619095694441721878494723011571422187626900502127344808855538248417059188940978104201662490735261144801270953844082170894827807825818529332331536071199937269089386012938070611103796922379966673394481400430649759062817673133182157903465465505932578631897852609176577105116523172382666803633894269857832302024087151398433728568616140571526765118420683010229363456136225975143089428142717793386348778675174342773100032901634414105434930333603590666141032816304962521020282091875621115170784782683256068643506878463124164598663495803643555188148391185857255259141350259138417689572443253716863473672641489885871647890307115235103550419534414053725167972488201738289066849820484001325557967924628240108028011797452933513146832221036325997732265045161640405980450048635380190156825168186510895280055625906901623283159621119365200987093719866483227148332601209522173436341844916405878759791790437654635598645408422607879224661325678109744409792008696925052469894927707926783279565289897376703924409766444711675563338791814628233192080383804815704079888406551715029405828868553000991295830338066433025720900096618042167092766813646790995910288488006138213748579682483068682986170414658249293753505420383114837963401594407035288580749470362652740565761625395468856378476389413123057421114539966917722665801441014371266350643670882799527116074742733377638189217434373859397184188673733011028974683947091609256328069616503353403016327244276238445044637358325349670109558650045476207949052932090159951648060886232519846891264126048892679340752203935510382651965468760170336062025486897057787023774821879517782277497427577919688531325057187077843765021051369201730873226662989876411517589999682851179924305844358757890826512944243204670940686507110399626833282449362698595922740673025330149451828516863735711066097612134859143677278955963595358567853465617847330740786470215120927893040615968020543392999131102162700497184173888693860092363035895195488306217920346629732134389175123519133452}
15416  1699158680446595603658599446465772263643566001694792904223132581: {46239,400426,661039,677644,707986,953746,1028383,1137898,1260586,1485943,1577239,1617105,1628266,1668463,1724912,1784428,1925125,1940526,1941703,2123503,2310150,2339432,2395663,2464160,2544946,2631861,2772180,2956992,3028183,3093226,3256108,3275698,3326616,3388039,3477823,3742443,3882898,3924705,4185898,4186352,4193503,4550408,4609426,4709646,5089228,5119209,5273386,5514346,5586933,5995498,6487639,6894898,6915148,7002905,7150305,7270423,7313386,7429989,7490312,7626992,8133343,8295749,8385898,8403486,8426601,8564146,8580366,8845225,8860906,9096748,9159343,9275698,9364593,9453226,9645141,9689192,9984946,10004150,10161898,10198929,10614270,10633066,10762639,10829505,10900341,10906828,11148325,11321888,11513023,11513746,11551472,11851070,11882888,11923498,12004980,12010039,12040426,12422239,12504463,12612968,12737124,12805312,12832639,12915346,12995406,13368249,13377990,13566823,13583865,13670698,13793169,13844626,13960498,13972183,14189589,14221284,14269856,14321573,14375743,14383105,14405976,14489456,14505388,14536663,14654386,14711961,14900313,15159333,15221644,15336943,15575986,15655039,15936748,16051039,16053588,16206723,16264498,16300638,16679705,16722226,16930100,16950706,16981352,17007244,17259726,17406898,17577706,17805226,18032529,18046825,18164865,18198089,18259498,18432872,18656146,18785644,18995506,19104021,19108498,19375856,19451905,19503466,19841386,19953898,20015646,20122546,20288239,20316120,20347186,20450865,20459390,20474773,20627626,20662639,20736981,20783433,21116452,21406039,21616108,21656190,21670528,21794421,21797838,21814256,21845033,22190698,22215463,22219765,22301866,22434703,22798663,22855635,23022898,23099936,23118305,23190105,23233039,23342286,23495048,23593039,23828150,23879743,23961706,24016786,24307639,24378703,24379344,24541038,24551268,24559041,24736112,24841066,24950698,25013865,25115026,25436023,25497898,25607146,25628078,25655912,25987428,25997270,26424466,26431929,26525068,26586833,26663718,26681456,26820583,26845401,27025783,27093608,27426762,27562666,27569644,27741966,27748265,27828126,27840103,27940498,28209898,28371346,28586386,28593780,28862901,28982433,29176426,29227700,29503303,29830543,30016638,30019305,30166360,30480309,30500032,30737361,30796766,30860249,31032844,31057639,31146898,31196724,31207190,31252786,31305706,31381905,31629823,31630489,31835865,32020592,32175689,32361413,32821352,32852901,33026150,33147826,33250039,33297918,33357106,33474032,33494983,33782668,33783269,33920863,33931306,33937155,33958256,34102303,34103865,34312536,34376853,34463239,34523143,34555498,34634545,34659758,34758353,35073240,35073898,35295343,35354239,35491948,35647639,35920533,36023166,36199632,36377456,36611540,36791553,36875698,36924021,36927561,36943205,37386898,37411456,37448628,37595023,37658286,37872844,37981190,38178705,38203038,38550508,38601603,38756239,38759146,38888908,39170705,39457395,39566239,39619663,39631380,39861353,40044463,40149943,40360039,40401375,40420498,40520626,40621039,40636808,40723952,40724586,40924638,40924825,41269546,41319346,41341305,41342263,41393239,41561454,41568106,41768441,41949223,41958741,42014866,42050312,42087888,42273472,42397639,42446001,42509746,42840223,43094800,43132039,43325143,43422321,43564903,43596268,43596705,43660303,43763489,43788946,43928913,43933848,43995380,44086070,44097392,44166629,44320039,44331846,44375698,44581700,44828503,44974281,44993102,45056743,45238145,45263788,45573992,45577428,45590698,45716409,45735826,45814446,45965270,46230590,46388383,46459306,46503152,46604023,46817863,46945303,47004846,47131306,47179186,47240143,47306601,47348874,47407039,47418346,47557656,47576438,47681288,47778343,47916844,48096875,48184063,48481650,48622039,48702898,49034026,49109790,49166863,49205239,49425579,49433983,49513940,49552786,49609566,49654790,50116498,50141239,50223148,50444266,50538823,50716663,50817898,50892703,51222265,51270741,51376426,51545239,51713753,51713760,51845263,51967265,52001301,52009423,52117604,52296325,52302200,52316046,52379193,52383776,52396063,52532626,52679239,52794456,52903284,53038186,53336549,53496106,53498040,53502363,53587498,53641449,53724466,53725039,53838943,54043498,54118663,54283039,54285774,54310183,54451166,54786463,54831833,55158324,55161344,55165543,55312639,55341489,55363688,55476708,55528423,55536946,55626898,55958150,56031343,56333239,56666729,56720383,56740039,56759623,56932639,56944790,57012681,57064576,57171686,57190183,57225823,57238293,57614983,57631039,57716250,58023223,58079239,58134103,58140008,58177980,58266223,58354423,58403239,58415263,58576039,58837183,58839975,58907743,58931748,58949503,58953898,58965703,59078023,59085106,59162263,59191423,59247377,59259826,59365303,59384023,59387983,59393763,59413183,59416728,59585748,59608498,59859745,60042898,60172906,60185295,60262761,60562066,61085865,61422226,61466718,61531905,61564000,61712462,61849906,61977898,62056512,62063146,62199158,62284149,62287208,62302373,62360718,62412501,62496844,62519270,62700466,62700665,62755590,62762640,62869305,62980100,63325157,63334186,63448108,63460498,64006186,64197648,64275860,64353032,64519761,64632466,64819929,65006506,65158256,65407509,65634032,65647673,65882725,66016533,66043700,66286348,66448786,66489706,66766505,66779993,66843819,66939296,66946816,67060592,67149780,67304746,67369809,67790698,67906265,67966340,68073106,68095313,68140825,68333748,68515306,68875666,69259500,69478473,69540105,69813576,69988498,70011381,70073109,70185898,70607970,70658026,70685054,70691241,70697266,70734200,71274508,71361898,71626432,71757705,71828266,71831694,72222354,72330898,72397161,72523498,72564488,72638866,72907498,73098898,73303038,73670698,73751945,73784626,73838286,73876790,73876800,74176112,74238950,74241489,74453720,74502826,74604392,74743526,74857305,74915986,75023124,75047781,75177898,75240798,75252586,75284261,75306708,75315168,75443166,75556641,75576120,75684153,75736498,75961448,76195070,76493644,76541552,77025898,77131032,77214053,77314233,77499826,77787380,77934898,78009321,78223666,78331190,78391768,78392505,78475498,78540273,78540833,78663065,78801920,79059270,79083826,79092629,79119466,79190698,79252440,79344008,79439506,79575975,79847792,79970026,79971393,80075698,80119806,80181226,80465801,80513972,80579736,80614528,80706706,80952470,81075081,81193906,81228586,81349700,81487518,81550209,81559608,81635049,81759153,81768990,81815698,82261546,82527244,82738666,83111400,83246386,83291857,83422348,83432073,83448126,83582866,83618672,83683498,83698097,83760435,83850898,83929941,84017644,84184498,84329888,84535936,84639110,84655193,84729564,84747946,84780946,84881040,84945706,84980433,84985945,85023135,85175698,85274026,85396328,85456629,85508913,85568146,85665898,86092108,86109246,86217106,86635498,86772411,86949905,86976844,87210346,87220256,87265841,87515582,87565228,87663189,88156906,88160660,88190739,88219498,88382725,88502334,88593706,88652148,88652160,88738568,88843145,88855940,89003390,89031148,89086740,89158995,89243026,89262009,89344464,89374021,89828766,89976466,90067498,90158386,90279346,90460306,90464510,90520498,90539776,90652203,90691344,90820498,91356466,91433993,91434084,91622506,91754559,92673706,93162898,93185477,93235413,93344856,93460913,93500325,93533866,93590698,93782390,93997428,94071006,94211626,94248844,94270457,94381001,94395678,94435498,94562304,94588401,94769386,94797106,94822828,94871124,94935466,95008705,95025856,95102928,95348146,95399990,95491170,95539498,95946898,96070869,96350698,96591257,96752084,97008950,97142964,97200106,97332325,97462186,97619640,97670698,98024549,98122788,98519986,98570865,98824498,98897313,99001066,99076498,99212529,99276946,99336968,99733680,99830889,99864561,99994472,...,5623889064281522264861186270353513470379519345037056890122352329177628035625100580267697190319772136113493775069295324208808749809433204246106421664160130663068724459586556365955562008961057175826811088646658183417400384298729198680451562745629637742735272019834478733313994560088102711645891128433170723931119457118687536234379181700929071628757018504900205654008766276366319531287313182209434965002399017901686074701073341763931619817280387414585415008919128659738311436508428643541662582817742084517357133281440350753191017213283307372625588783411467156302493736102891717201906430766123256342241711738727793998497304106799905903634079019407105916655695383569950010091722100645974638594226509699773236855198198258898867947846778913764865657674784758574000205450841404786748453036130727097650592852924210857290147677631024515344045184204338962714634142214076690079523168012761514159650049352451621158152395500405385999211549224457443781530423137813431672756177174024884102965260317694686246897995243705465332782222586778785882888712025388707626534358664880575295210508962234828807471835460672852655325629301621080587751958732302607433600274730726001988336951886942360162042017696179400269720248331554488996598397567742460608970675072953070285235237752279766342920083438860352434924739431679047801480640579799724840722498901814283260154512767374608818139687685656481953397968112633911818836991988517164616614688013045387578704842391561890174919347934846065055886614649667067513345008187721942349788120575707223556119832609827572544108743302829501486943745507099649538581350144927063250639150220470186493865432732009207320622869523724603024479255621987373940630258130574672256945102391610552932871124205543979110848642438093203284567714584119684586131671809950376583998702161521556899525965506324199290674112114100066457283826151560789095776283010599516543462025920637413884492104424755030104524490866414357667566956037488024505164337975068214311923579398135239927472091329348779770336896189073339019011128305903265573977948203140255504093038230345586680535662232819276673416246141366879532796987585780616765647531577053802596309839994484814617276384999524276769886458766538136836239769416364807006411029760665599440249923674044047893884111009537995224177742775295603566599146418202288715515918433945393037851780198426770996111179705322681391839560923952030815089498696653244050745776260833040790138544553842793232459326880519944598201583762685278700178}
15417  1706742251925978871590536330323974963781372102007087609947509022: {61652,600639,847055,1016466,1061979,1430619,1509298,1706847,1890879,2047003,2156140,2230535,2442399,2587368,2601079,2676642,2910789,2924290,3080200,3465225,3509148,3663058,3696240,3817419,3891899,3942656,3981607,4070135,4158270,4401826,4435488,4445687,4639839,4884162,4905263,4913547,4989924,5232940,5688010,5824347,6012407,6195319,6278847,6279528,6361535,6554023,6673618,6825612,6914139,7064469,7449244,7599202,7633842,7910079,7940603,8271519,8478043,8586799,8643935,8993247,9362890,9533740,9906652,10107538,10342347,10372722,10397527,10484386,10705223,10798783,10970079,11036347,11102194,11204648,11235468,11370935,11440488,11591242,12111490,12486124,12578847,12605229,12678274,12846219,12860188,12870549,12916919,13291359,13436002,13598572,13633535,13645122,13913547,14152360,14179839,14439340,14531506,14533788,14549119,14853610,14858683,14977419,15006225,15242847,15766210,15921405,15949599,16006640,16128763,16360242,16374826,16953874,16982832,17171362,17270619,17327208,17605303,17776605,17824332,17837320,17885247,18006923,18007470,18060639,18111820,18131735,18390892,18502103,18919452,18961712,19027055,19087474,19105686,19207968,19302127,19324138,19373019,19493109,19516363,19615948,19867084,19920935,20066985,20212444,20506047,20558167,20766939,20940747,21150922,21162625,21226690,21259055,21331926,21404784,21594754,21608964,21644098,21734184,21758082,21904786,21981579,22448923,22832466,22993819,23010383,23012968,23041090,23346274,23363979,23482055,23706907,23905122,24043372,24080382,24219820,24396747,24450957,24621586,25083339,25222327,25395150,25426059,25472028,25510866,25889589,26110347,26227919,26268383,26366559,26395565,26687528,26707839,27020135,27088160,27267820,27389247,27413314,27649308,27711244,27984219,28018018,28178466,28301026,28347019,28493259,28662747,28718683,28874920,28988399,29059228,29063784,29094442,29255199,29289778,29366327,29368810,29538983,29713474,29762079,29930847,29981963,30023469,30183819,30360322,30474180,30520779,30689085,30920140,30941439,31123048,31663519,31674678,31817563,31830274,32069890,32295679,32424162,32484285,32505792,32665138,32696757,32721384,32735024,32745388,32938954,33058402,33156335,33286047,33351820,33452799,33867010,34004063,34462055,34534347,34574983,34649904,34653319,34924018,35013429,35242572,35434282,35547527,35551624,35557207,35633458,35742225,35793868,35942559,36025179,36534625,36569016,36794023,36811557,36826902,36848923,36989288,37104168,37261599,37426047,37486843,37621307,37672539,37707950,37960927,38125040,38246847,38410719,38442117,38483868,38585218,38643244,38791055,38888399,38981142,38995905,39027634,39486719,39636699,39787602,39877243,39995577,40022184,40025740,40165999,40299019,40640412,40690258,40970722,40983148,41026690,41140143,41146834,41343999,41344207,41354466,41595632,41612949,41674399,41721127,41742189,41842540,41910747,42228335,42314847,42447820,42557019,42683938,42826223,42879579,42890670,43018786,43246487,43764639,43803868,43841550,44099467,44364935,44397224,44775623,44782607,44790383,44919082,45024957,45249540,45463903,45471820,45750048,45764425,45835804,45974023,45987419,46195149,46549266,46720347,46764320,46795086,46810785,46879179,46958559,47341055,47894044,48030888,48188135,48266176,48297202,48443227,48611135,49055404,49232028,49236748,49539225,49721739,49931504,49946877,50035659,50211048,50377666,50674002,50796010,50872507,50896959,50904940,50937384,51052763,51441202,51468804,51620983,51768274,51833247,51989637,52013026,52331263,52562890,52609860,52610847,52841840,53237922,53255819,53321218,53868500,54034749,54057106,54299448,54495335,54501307,54566184,54654226,54917310,54994225,55121740,55160482,55313547,55415272,55630159,55647442,55727125,55782263,55944988,56080347,56117184,56172942,56308903,56392114,56487429,56579735,56594668,56661034,56686642,56809266,56967490,56971785,57013474,57304557,57429778,57467419,57825762,57896428,58128940,58138719,58220647,58333362,58450799,58486907,58552607,58571884,58578464,58678018,59109128,59447070,59529634,59601610,59634587,59896055,59965708,60074683,60630747,60769904,60780939,60884683,60955212,61085928,61086879,61386957,61405279,61587943,61599143,61892425,61904319,61979019,62165074,62342181,62352159,62486143,62673128,62778935,63022299,63075468,63131832,63318754,63410208,63493927,63720367,63764619,64037243,64257743,64640783,64642200,64835242,64859119,64904098,65147005,65278843,65377750,65394402,65479720,65683419,65900772,65940178,65993070,66129105,66146088,66466267,66497769,66563547,66872550,66882754,66973858,66985103,67407826,67489653,67635259,67677527,67895682,68360988,68366142,68386047,68592797,68603739,68721669,68947905,68951680,69194063,69204610,69335068,69345885,69426007,69688959,69754728,69824002,69838924,69866818,70136674,70392608,70507269,70525906,70537712,70696959,70713479,70768779,71023311,71127519,71330720,71336484,71364657,71521932,71875266,72114034,72381032,72439282,72481943,72675010,72722475,72885319,73054347,73166338,73544432,73551039,73619863,73664685,73688194,73788652,73872623,73968944,74270910,74329179,74414349,74482185,74719807,74721787,75174747,75247967,75334722,75666399,76016908,76226847,76317724,76595626,76741643,76757627,76955000,77064639,77570640,77646247,77698162,77859010,78121055,78176406,78384463,78453300,78474069,78575664,78725125,78798939,79191684,79222304,79310135,79354926,79438354,79447664,79557279,79581823,80177519,80244159,80247060,80344825,80350348,80381247,80422978,80441290,80586699,80829403,81065247,81247799,81282287,81356458,81379159,81428661,81447820,81676749,81702839,81955624,82001959,82042540,82554625,82737486,82742016,82857935,83045532,83147624,83215062,83216668,83305419,83408303,83440347,83674120,83683520,83825740,83937225,84096658,84957925,85417185,85596864,85757529,86015914,86026348,86426572,86574375,86919847,87210012,87266970,87495163,87770338,88022044,88025803,88397622,88417750,88430847,88627659,88797647,88800127,88889739,89093135,89125092,89218087,89378622,89412747,89437954,89474807,89533040,89826412,89944859,90064347,90259359,90287503,90340042,90705610,90843099,90899719,91111664,91527419,91773727,91922699,91936018,91999474,92079547,92133339,92200077,92346000,92568693,92637964,92720140,92774859,92966847,93021743,93067150,93084768,93094719,93255490,93298737,93348508,93430812,93541077,93645418,93688603,93745266,93778905,94050699,94133385,94143346,94143960,94254988,94353202,94470150,94951810,94998826,95001279,95172162,95190747,95231419,95617055,95656498,95676940,95775592,96009279,96047122,96296472,96413790,96435583,96467938,96529548,96581194,96625199,96948699,97234225,97509759,97737384,97775687,97989710,98085287,98451048,98502400,98988652,99065550,99180010,99429522,99673179,99734559,99804863,99809740,...,8435833596422283397291779405530270205569279017555585335183528493766442053437650870401545785479658204170240662603942986313213124714149806369159632496240195994603086689379834548933343013441585763740216632969987275126100576448093798020677344118444456614102908029751718099970991840132154067468836692649756085896679185678031304351568772551393607443135527757350308481013149414549479296930969773314152447503598526852529112051610012645897429725920581121878122513378692989607467154762642965312493874226613126776035699922160526129786525819924961058938383175117200734453740604154337575802859646149184884513362567608091690997745956160199858855451118529110658874983543075354925015137583150968961957891339764549659855282797297388348301921770168370647298486512177137861000308176262107180122679554196090646475889279386316285935221516446536773016067776306508444071951213321115035119284752019142271239475074028677431737228593250608078998817323836686165672295634706720147509134265761037326154447890476542029370346992865558197999173333880168178824333068038083061439801537997320862942815763443352243211207753191009278982988443952431620881627938098453911150400412096089002982505427830413540243063026544269100404580372497331733494897596351613690913456012609429605427852856628419649514380125158290528652387109147518571702220960869699587261083748352721424890231769151061913227209531528484722930096952168950867728255487982775746924922032019568081368057263587342835262379021902269097583829921974500601270017512281582913524682180863560835334179748914741358816163114954244252230415618260649474307872025217390594875958725330705279740798149098013810980934304285586904536718883432981060910945387195862008385417653587415829399306686308315968666272963657139804926851571876179526879197507714925564875998053242282335349288948259486298936011168171150099685925739227341183643664424515899274815193038880956120826738156637132545156786736299621536501350434056232036757746506962602321467885369097202859891208136994023169655505344283610008528516692458854898360966922304710383256139557345518380020803493349228915010124369212050319299195481378670925148471297365580703894464759991727221925914577499286415154829688149807205254359654124547210509616544640998399160374885511066071840826166514306992836266614162943405349898719627303433073273877650918089556777670297640156494166769557984022087759341385928046222634248044979866076118664391249561185207816830764189848688990320779916897302375644027918050267}
15418  1714359401421234020116917873131183178279921085754927284146137899: {77065,92478,261817,630457,800852,906181,1322078,1355288,1364281,1415972,1524699,1907492,2002597,2056766,2263947,2275081,2275796,2521172,2695175,2908357,2971886,3154478,3234210,3256532,3336926,3449824,3568856,3850250,3881052,3883406,3896377,4014963,4075081,4247006,4253497,4386435,4620300,4678864,4698277,4787017,4791326,4928320,5089892,5263722,5494587,5544360,5913984,6021817,6056366,6186452,6237405,6512216,6541175,6551396,6602739,6653232,6721081,6776078,6895177,6955646,6982117,7155781,7326243,7484886,7761337,7765796,7849410,8371796,8372704,8387006,8532015,8705797,9100816,9218852,9311555,9419292,9556837,9726181,9804067,9979657,10010427,10178456,10238418,10316617,10546772,10568581,11028692,11153977,11173866,11398803,11450763,11652937,11917175,11990996,12066757,12383315,12478777,12807097,12975278,13460281,13789796,13830296,14005810,14028037,14044335,14300610,14540846,14626772,14832997,14859978,14980624,15073081,15161307,15253984,15559083,15607655,15630757,15710137,15726579,16075235,16266686,16591498,16653291,16771796,16806972,16853202,16998215,17128292,17160732,17386863,17690450,17721812,17826181,18049175,18167235,18193496,18318686,18551396,18729186,18906452,19017411,19131577,19207717,19290282,19378384,19738681,19969892,20008300,20136347,20154003,20266117,20323796,20397858,20467683,20715397,21013477,21228540,21266132,21525278,21606181,21659010,21797259,21800682,21813656,22280415,22296650,22340581,22559497,22639775,22643776,22922917,22988615,23026046,23027492,23102944,23284537,23351587,23428681,23572537,23649315,23702140,23765776,23846996,24009960,24020078,24080852,24197459,24519935,24540363,24562239,24833855,24844478,25008926,25225936,25265555,25430811,25474248,25610624,25665278,25757043,25830692,25990812,26043397,26251081,26736498,26755980,26801737,27011205,27133646,27167730,27232667,27341396,27586338,27689252,27754297,27821797,27920996,27944366,28379178,28442568,28539712,28631211,28643146,28658529,28751486,28766210,28811952,28978912,28986207,29010776,29073326,29308772,29423922,29800626,29813317,30054215,30138937,30268681,30274775,30318666,30443288,30673886,31041097,31107671,31151972,31310078,31359877,31423417,31726383,31840035,31866181,31873496,31997889,32054857,32102078,32107176,32365627,32392131,32413446,32466147,32528996,32601276,32637123,32857179,33359410,33418681,33444452,33860200,33901412,33962704,34014488,34084775,34248699,34519452,34561635,34628281,34639055,34813796,35019411,35104057,35155412,35351723,35610452,35857683,36065058,36093650,36099781,36120573,36324035,36329730,36396178,36518996,36561157,36675781,36865744,36932379,37312292,37381487,37571288,37638457,37991012,38084281,38092725,38208042,38216996,38266299,38525497,38650175,38751712,38798917,38847571,38903810,39006932,39016357,39286537,39608377,39682772,39907796,39980581,40031292,40245092,40401637,40576478,40632240,40694372,40901730,40918780,40921477,40931735,40949546,41119971,41255252,41281081,41325278,41473962,41566866,41637157,41689775,42027027,42232904,42267699,42451539,42684217,42783059,42812078,43232216,43312380,43341056,43364617,43508581,43588842,43595676,43628512,43641663,43690066,43841977,43934667,44053215,44124937,44312137,44381396,44430926,44439530,44570211,44603732,44742335,44869406,45140281,45276037,45540483,45597326,45711270,45723877,45812581,46033081,46045796,46199872,46236610,46380210,46466078,46683781,46684572,46811977,46990096,47186078,47401657,47512017,47526181,47656300,47745411,47759486,47923412,48033572,48104835,48139081,48304055,48419557,48488363,48615278,48636243,48757406,48758688,48870767,48997707,49008697,49082076,49102536,49118082,49362703,49408431,49472224,49587603,49682132,49901396,49991497,50027730,50032175,50230052,50247781,50678917,50800515,50872046,50890597,50995796,51065017,51214292,51228935,51256156,51311824,51476281,51644581,51711397,51720487,51974856,51994540,52303175,52386027,52522297,52553797,52848932,52863858,52864837,52987237,53050136,53059775,53151423,53173666,53317897,53327436,53362912,53450187,53523781,53641166,53690802,53868517,54009097,54051566,54187216,54446857,54684997,54754835,54838987,54853524,55125332,55139288,55193317,55240353,55267081,55483932,55496530,55555657,55656252,55680206,55880996,56035717,56079781,56145337,56253157,56295781,56419796,56442697,56463397,56561925,56666437,56742692,56839775,57142537,57172772,57187560,57294755,57320377,57606181,57686281,57725802,57841081,57877827,57964866,58087717,58129081,58156297,58196581,58352852,58448581,58455400,58471713,58483897,58541451,58585957,58801417,58884037,59006606,59082937,59089957,59156197,59215237,59267077,59285797,59299081,59376697,59384581,59391817,59400457,59411257,59414281,59428357,59661086,59681403,59867555,60033276,60038610,60332720,60960618,61000064,61035387,61319255,61456083,61474722,61540035,61545935,61593532,61720251,61720498,62031699,62065688,62115278,62293796,62393448,62414380,62505572,62611412,62763810,63259646,63260978,63333403,63631175,63671730,64025907,64041184,64336005,64351378,64528179,64722826,65642704,65705802,65762325,66052300,66295652,66500078,66595836,66714212,66948064,66989966,67335625,67378623,67565336,67566538,67841726,67862612,67874310,67916512,68204606,68207730,68625072,68753706,68762243,68902175,68926478,69046286,69110996,69269090,69319516,69516706,69823899,69931235,70146480,70147796,70192629,70590686,70708478,70743335,70983896,71295278,71711171,71841066,72046332,72370535,72399264,72445803,72661175,72754171,72754912,73214855,73223080,73583106,73751396,73848042,73855122,73886410,74773796,74822912,74897256,74957135,75190046,75316572,75566499,75745688,75962380,76011003,76194015,76357410,76406076,77101016,77161803,77203206,77512478,77518292,77652411,77777816,78019539,78341410,78844335,78914790,79132478,79239326,79262760,79722706,79856883,79981827,80088926,80299886,80476279,80720078,80802750,80840996,81041252,81085659,81242078,81273616,81447904,81449172,81849276,81849650,81981339,82375965,82539092,82638692,82682610,82684526,82740723,82786478,83122908,83136212,83302703,83471163,83536882,83803643,83898446,83917482,84029732,84100624,84175776,84259413,84546944,84588171,84795278,84892002,84991551,85019492,85029963,85213899,85451235,85520211,85680446,86144667,86189600,86264078,86650286,86668835,86738643,86844642,87129806,87192536,87193410,87289763,87298655,87320606,87500043,87526978,87577892,87780931,87857826,87867696,87990760,88017027,88172140,88194784,88333258,88640078,88663692,88751396,89036123,89163400,89170605,89294451,89385659,89402415,89657006,89948562,89986204,90113486,90476290,90527576,91147984,91154856,91181396,91432818,91471652,91628892,91930540,92235815,92461180,92776766,92918612,93006304,93090899,93208046,93247611,93473107,93635726,93890606,94009692,94262612,94358372,94480286,94613202,94697748,94814078,94836692,94978131,95021135,95068771,95115312,95152876,95362576,95397155,95556686,95833688,96193750,96368126,96963300,97244078,97252863,97356147,97405796,98066625,98068052,98091603,98219580,98333726,98410478,98435831,98851158,98867966,98910267,98989605,99027880,99105572,99219132,99309580,...,11247778128563044529722372540707026940759038690074113780244704658355256071250201160535394380639544272226987550138590648417617499618866408492212843328320261326137448919173112731911124017922114351653622177293316366834800768597458397360903125491259275485470544039668957466627989120176205423291782256866341447862238914237375072468758363401858143257514037009800411308017532552732639062574626364418869930004798035803372149402146683527863239634560774829170830017838257319476622873016857287083325165635484169034714266562880701506382034426566614745251177566822934312604987472205783434403812861532246512684483423477455587996994608213599811807268158038814211833311390767139900020183444201291949277188453019399546473710396396517797735895693557827529731315349569517148000410901682809573496906072261454195301185705848421714580295355262049030688090368408677925429268284428153380159046336025523028319300098704903242316304791000810771998423098448914887563060846275626863345512354348049768205930520635389372493795990487410930665564445173557571765777424050777415253068717329761150590421017924469657614943670921345705310651258603242161175503917464605214867200549461452003976673903773884720324084035392358800539440496663108977993196795135484921217941350145906140570470475504559532685840166877720704869849478863358095602961281159599449681444997803628566520309025534749217636279375371312963906795936225267823637673983977034329233229376026090775157409684783123780349838695869692130111773229299334135026690016375443884699576241151414447112239665219655145088217486605659002973887491014199299077162700289854126501278300440940372987730865464018414641245739047449206048958511243974747881260516261149344513890204783221105865742248411087958221697284876186406569135429168239369172263343619900753167997404323043113799051931012648398581348224228200132914567652303121578191552566021199033086924051841274827768984208849510060209048981732828715335133912074976049010328675950136428623847158796270479854944182658697559540673792378146678038022256611806531147955896406280511008186076460691173361071324465638553346832492282733759065593975171561233531295063154107605192619679988969629234552769999048553539772917533076273672479538832729614012822059521331198880499847348088095787768222019075990448355485550591207133198292836404577431031836867890786075703560396853541992222359410645362783679121847904061630178997393306488101491552521666081580277089107685586464918653761039889196403167525370557400356}
15419  1722010276426196359314329372053908954752381857724615247043116911: {123304,138717,1001065,1185877,1201278,1694110,1769965,1983117,2032932,2123958,2384365,2844745,2861238,2878117,3018596,3085149,3122749,3151465,3413694,3781758,4070665,4094006,4312280,4457829,4461070,4599517,4731717,4851315,4884798,4968709,5005389,5174736,5202158,5243557,5353284,5698189,5775375,5797129,5821578,5825109,5848580,6160400,6362365,6370509,6719749,6930450,7018296,7186989,7326116,7392480,7578889,7634838,7733065,7783798,7885312,7895583,7941637,7963214,8132317,8140270,8189245,8316540,8803652,8870976,8891374,8906149,9084549,9279678,9384349,9707245,9768324,9810526,9827094,9961501,9979848,10164117,10433469,10464745,10465880,10706617,11227329,11227429,11376020,11523565,11648694,11774115,11964661,12024814,12101509,12390638,12557694,12559056,12580509,12723070,12918601,13070509,13108046,13183465,13320901,13347236,13651224,13785865,13807741,13828278,13829449,14128938,14898488,14988745,14997301,15198404,15267684,15357627,15820158,15881206,15919309,16543038,16592269,16760799,16956086,17006077,17173598,17237245,17287870,17986494,18249961,18283465,18343501,18504517,18725780,19023289,19067480,19086949,19462917,19813304,20215076,20678821,20684694,20745444,20795054,20964745,20968772,21008715,21280909,21410365,21410446,21450915,21597566,21615109,21811269,21940158,22014157,22072694,22152265,22204388,22289967,22409296,22470936,22741870,22880976,23013397,23168569,23182484,23189245,23346301,23621989,23633065,24222980,24400029,24887247,24962365,24972248,25009501,25010375,25157694,25210458,25279803,25356548,25384429,25404745,25692438,25720376,25741098,25833838,26231341,26535675,26582665,26582718,26637877,26788549,26872004,27117001,27194089,27197144,27267070,27290244,27478029,27827094,27889309,27997717,28036741,28093779,28304720,28359678,28784365,28878680,28935423,29063012,29067576,29098238,29232517,29358781,29370169,29542837,29627675,29707220,29717366,29762677,29808745,29954838,30012450,30060169,30101065,30316957,30485694,30596787,30979909,31333429,31532420,31541821,31842810,31899198,31970917,32013280,32257526,32287917,32288365,32488515,32701023,32720484,32749652,32821189,32874877,33444975,33907748,33965664,34008517,34132069,34176745,34259017,34342724,34539069,34541238,34611565,34654416,34901245,35210606,35433229,35553210,35648664,35674640,35770494,36013846,36014940,36030117,36066469,36121278,36223640,36263470,36635965,36781784,36843949,36953791,37004206,37056661,37266717,37513389,37626229,37828189,37838904,37923424,38004541,38054110,38159629,38174948,38211372,38324509,38415936,38497917,38604254,38648276,38746038,38939965,38986218,39032726,39231896,39729589,39734168,39841870,40104747,40133970,40424888,40661245,40700469,40751595,41012094,41116334,41379507,41533878,41805565,41881494,41916549,42209941,42301844,42325250,42376765,42453380,42462949,42518110,42568767,42663852,42809568,42964719,43014217,43127229,43149315,43189508,43217928,43288196,43468368,43516164,43517245,43609989,43809572,43944265,43963158,44135883,44513065,44558677,44600749,44700939,44781481,44796301,44897846,45123397,45477999,45648745,45662269,45664932,45959017,45987638,46010829,46020766,46025936,46082180,46104157,46418869,46640365,46692548,46727958,46964110,46965117,46983229,47413814,47488765,47771245,47810244,47863597,47864989,48081109,48086744,48153117,48160764,48246877,48334309,48439640,48620169,48758665,48793494,48901914,49243172,49553461,49603465,49884745,50039115,50051149,50062729,50166678,50306365,50444654,50612809,50790300,50852118,50867965,50944056,50996077,51021732,51148475,51569065,51779178,52220694,52455838,52490869,52536766,52622317,52733118,52791130,52934089,53375056,53415678,54040270,54097587,54140475,54176320,54307477,54326749,54494595,54535640,54594267,54778494,54826628,54895357,55061101,55298616,55422488,55476745,55754665,55789561,55968438,56036036,56213629,56356932,56602052,56694038,56986518,57108517,57312063,57325494,57437366,57487837,57557245,57749840,57968941,57976798,58118456,58127568,58188884,58355715,58503349,58510398,58579556,58732654,58737620,59068489,59077966,59119669,59426948,59524158,59570375,59642389,59861694,59904265,59963926,60041965,60046938,60367638,60720644,60864717,60948360,61041558,61352595,61378170,61424319,61840280,61882878,61987917,62102665,62110909,62114617,62210943,62246096,62350299,62376745,62648389,62787565,63262057,63327038,63349356,63635126,63660548,63744745,63839689,64006669,64017865,64045621,64070195,64139780,64218117,64591358,64848324,64968570,64993175,65011584,65330276,65383263,65393514,65441149,65442768,65470048,65490776,65535099,65841109,65856361,65877908,66061165,66116804,66207997,66277477,66312670,66572094,66646389,66659295,66703640,66905598,66993877,67304109,67463389,67686469,67734020,68008126,68055589,68237161,68395989,68566905,68846101,68866669,68906665,68924110,69068694,69078217,69149966,69299808,69306638,69354915,69355849,69570315,69699117,69708517,69848036,69851245,70026858,70252669,70485144,70524745,70779117,70868564,70928365,71095054,71103248,71114414,71266916,71465965,71484450,71587736,71639229,71885118,71978029,72050358,72061609,72233017,72245581,72285301,72491437,72922917,72941065,73069250,73136109,73138032,73588046,73623114,73653804,73677123,73697846,73917229,73978576,74162917,74208336,74523198,74811469,74852094,74973686,75041595,75158677,75242614,75345078,75415900,75639589,75796237,75921854,75940969,76250080,76293469,76308069,76343689,76493694,76821438,76884234,76967736,76991915,77011357,77170436,77286488,77334541,77582110,77776798,77822317,77867245,77962284,77991810,78017975,78055268,78131965,78192349,78264265,78497929,78660901,78973438,79211629,79273398,79295787,79575204,79754486,79760499,79786117,79991154,80044368,80051480,80188021,80331998,80461749,80536203,80598038,81040549,81077349,81280824,81380516,81941444,81966296,82053380,82280286,82293668,82565375,82687998,82688414,82708932,82869565,82895401,83191264,83225898,83244795,83320717,83348798,83392765,83442254,83484378,83520309,83685080,83821494,83854477,83979529,84100669,84187261,84456670,84629694,84828265,84895640,84910909,85114038,85317397,85367876,85608697,85643821,85652446,85759158,85781340,86037572,86388745,86492974,86533789,86588703,86649395,86797609,86947299,87304009,87350149,87529278,87607736,87683100,87684745,87890509,88198934,88473517,88509909,88729870,88794448,89309449,89486629,89491629,89551246,89565214,89580766,89838164,90049914,90057915,90499080,90694669,90844909,90927806,90928381,90943640,90992077,91013269,91205807,91440927,91500096,91528850,91671608,91948046,91974838,92189245,92212083,92390298,92478517,92580747,93098532,93172917,93440694,93467245,93528640,93590172,93621570,93758358,93838837,93917118,94132357,94145715,94270357,94682110,94889469,94891467,94952975,95507595,95699197,95788088,96061776,96376270,96421621,96527067,96532352,96594404,96886454,96897865,97084239,97222270,97559389,98110808,98464056,98473496,98558703,98573449,99078450,99244429,99280969,99443478,99517189,99750117,99863008,99893754,...,16871667192844566794583558811060540411138558035111170670367056987532884106875301740803091570959316408340481325207885972626426249428299612738319264992480391989206173378759669097866686026883171527480433265939974550252201152896187596041354688236888913228205816059503436199941983680264308134937673385299512171793358371356062608703137545102787214886271055514700616962026298829098958593861939546628304895007197053705058224103220025291794859451841162243756245026757385979214934309525285930624987748453226253552071399844321052259573051639849922117876766350234401468907481208308675151605719292298369769026725135216183381995491912320399717710902237058221317749967086150709850030275166301937923915782679529099319710565594594776696603843540336741294596973024354275722000616352524214360245359108392181292951778558772632571870443032893073546032135552613016888143902426642230070238569504038284542478950148057354863474457186501216157997634647673372331344591269413440295018268531522074652308895780953084058740693985731116395998346667760336357648666136076166122879603075994641725885631526886704486422415506382018557965976887904863241763255876196907822300800824192178005965010855660827080486126053088538200809160744994663466989795192703227381826912025218859210855705713256839299028760250316581057304774218295037143404441921739399174522167496705442849780463538302123826454419063056969445860193904337901735456510975965551493849844064039136162736114527174685670524758043804538195167659843949001202540035024563165827049364361727121670668359497829482717632326229908488504460831236521298948615744050434781189751917450661410559481596298196027621961868608571173809073437766865962121821890774391724016770835307174831658798613372616631937332545927314279609853703143752359053758395015429851129751996106484564670698577896518972597872022336342300199371851478454682367287328849031798549630386077761912241653476313274265090313573472599243073002700868112464073515493013925204642935770738194405719782416273988046339311010688567220017057033384917709796721933844609420766512279114691036760041606986698457830020248738424100638598390962757341850296942594731161407788929519983454443851829154998572830309659376299614410508719308249094421019233089281996798320749771022132143681652333028613985672533228325886810699797439254606866146547755301836179113555340595280312988333539115968044175518682771856092445268496089959732152237328782499122370415633661528379697377980641559833794604751288055836100534}
15420  1729695025077428393155082658757420054098501208909160850282994699: {107891,154130,184956,292619,446339,523634,569171,661211,722531,906299,936899,1089779,1260914,1364459,1547219,1601704,1638491,1729691,1801917,1812362,2002859,2275379,2305619,2396291,2541165,2644156,2710576,2728139,2728562,2831944,2938811,3049398,3185937,3448811,3538571,3773245,3814984,4005194,4105379,4113532,4254059,4283771,4291857,4527894,4550162,4551592,4728491,5042344,5082971,5120541,5230331,5390350,5406899,5524451,5672637,5816714,5847059,5943772,6141009,6308956,6468420,6513064,6673852,6691605,6899648,6925091,7137712,7310725,7327197,7330139,7700500,7762104,7766812,7791131,7792754,7803237,8029926,8049539,8150162,8450219,8494012,8506994,8564411,8732367,8772870,8792411,8877779,8991491,9157645,9240600,9357728,9396554,9473339,9574034,9582652,9642851,9755699,9856640,9924731,10065371,10179784,10395675,10527444,10989174,11004565,11016419,11088720,11452257,11516171,11675697,11827968,11944821,12043634,12068411,12095939,12112732,12210405,12372904,12474810,12480491,12507899,12562691,12754211,12836171,12890771,13024432,13036177,13082350,13102792,13205478,13306464,13337061,13442162,13552156,13624739,13790354,13911292,13919517,13964234,14029979,14191571,14220025,14311562,14379731,14540699,14594291,14652486,14674619,14715789,14740641,14835059,14861771,14969772,15101819,15522674,15531592,15659411,15698820,15712331,15976451,16684045,16685579,16743592,16745408,16774012,17064030,17233091,17336641,17362931,17411594,17473041,18037221,18060611,18201632,18437704,18585957,18623110,18836541,18838584,18998005,19084605,19113674,19452362,19608134,19662069,19741499,19917731,19959314,20020854,20294051,20356912,20476836,20633234,20718371,20742417,20743259,20867579,21093544,21137162,21193407,21412211,21850717,21854939,22057384,22270691,22307954,22347732,22368179,22505329,22797606,22805291,22877891,22901526,22950419,23287931,23305874,23311979,23407225,23432099,23599931,23719571,23730237,23797501,23815139,23821809,23834350,23981992,24133514,24362171,24527819,24766630,24787331,24814557,24957554,25268845,25303451,25434129,25614194,25760397,25769291,25931805,25950556,26070371,26210965,26278019,26599739,26828579,26874251,26920562,26979741,27283859,27442451,27579592,27660592,27755485,27758459,27780971,27848459,28011620,28056074,28088670,28095299,28296539,28563851,28596997,28601220,28652699,28852139,28978105,29081692,29117051,29253544,29490371,29556011,29665994,29719956,29839619,29883131,29961248,30100211,30146162,30278725,30294899,30322614,30507968,30789491,30939179,31003211,31027041,31067171,31118166,31192581,31215310,31261514,31364699,31420274,31428251,31453158,31639571,31681739,31695685,31744931,31955051,32115669,32150470,32184061,32331251,32396349,32518379,32533372,32622059,32910237,33109041,33116939,33182996,33239939,33306582,33543592,33546179,33590005,33613944,33706404,33911291,33971891,33996430,34112805,34113011,34256584,34321464,34327909,34333979,34414091,34653659,34767397,34773726,34832579,35010851,35345819,35371777,35380900,35443624,35522219,35652362,35697971,35756411,35834219,36098350,36105539,36328765,36334470,36336851,36386992,36394499,36471251,36637372,36910091,36967019,37102792,37134025,37250579,37363499,37438619,37458372,37644539,37736541,37812904,37815687,38034822,38263154,38366819,38415434,38538657,38580564,38611647,38750757,38756768,38805251,38823419,38932259,39185099,39257051,39415525,39477362,39614891,39632699,39739379,39874077,39939784,40004819,40016600,40057691,40110491,40163219,40198331,40272694,40308006,40408331,40532234,40617179,40647592,40795716,40900605,40935366,40937065,40979891,41151371,41287979,41390099,41430794,41441051,41740641,41779309,41812499,41862851,41996771,42026954,42075901,42196691,42384685,42395459,42457080,42494411,42532264,42539517,42609491,42658691,42805859,42854771,42903611,42928405,43050556,43179011,43212362,43318020,43372019,43516019,43594518,43601364,43627312,43647357,43675259,44178121,44179451,44335331,44412971,44560830,44576049,44593300,44681162,44932257,45018675,45057251,45102731,45118994,45148139,45163259,45279550,45287552,45728541,45835379,45845834,45879611,45977230,46052092,46054984,46055819,46205888,46346939,46404779,46569074,46649171,46703174,46834499,46857362,46962011,47145074,47298630,47404280,47424011,47531552,47534699,47548499,47617379,47693992,47718685,47740859,47764215,47848797,47999411,48019920,48040156,48066971,48147779,48161704,48241691,48308531,48310345,48386289,48394918,48494677,48757739,48796931,48901091,49017659,49030571,49039870,49080726,49124478,49248851,49527899,49565651,49665971,49667710,49688956,49902179,50013059,50017852,50074379,50329739,50451872,50531110,50557739,50561797,50581571,50853649,50861622,50911859,50935211,50948496,51051491,51155459,51221248,51327299,51330556,51486059,51514086,51654419,51661384,51732371,51787811,51811857,51865091,51920051,51981624,52029371,52062011,52086794,52213379,52373819,52502162,52511411,52563971,52626779,52668491,52730819,52815909,52875131,52877305,52905851,52977251,53066725,53128931,53189099,53278811,53329815,53446499,53472996,53511960,53534339,53544059,53603474,53655741,53679299,53879219,53986885,54019859,54020769,54022410,54110245,54167891,54181917,54267292,54335460,54395205,54430979,54465334,54466739,54620269,54643619,54682792,54761965,54834491,54860219,54911459,54953939,55155059,55172676,55204619,55212851,55378504,55408019,55506309,55508594,55567139,55575011,55643594,55761539,55799819,55822691,55841992,55888732,56054819,56098859,56250731,56357051,56454659,56475371,56543891,56618339,56665211,56758356,56783939,56855219,56885136,56988611,57050891,57079424,57081165,57160979,57197099,57215051,57226979,57262422,57286292,57303731,57304429,57317058,57350291,57367619,57419171,57486899,57502972,57503651,57532420,57536939,57602651,57602725,57623904,57624299,57672539,57756361,57782579,57853979,57859019,57904019,57906381,57957824,57958139,57972414,58021552,58105451,58119057,58146652,58146779,58169459,58209779,58292771,58339499,58365685,58368731,58381139,58401659,58426019,58479327,58549089,58577339,58599539,58603211,58617544,58657331,58716491,58760171,58786379,58799291,58847844,58880099,58906811,58927139,58935731,58941419,58999211,59017691,59075651,59082899,59104211,59106539,59131619,59160011,59170571,59195099,59212739,59235251,59273531,59283299,59300459,59301971,59315219,59354699,59380091,59394371,59414171,59415539,59417531,59429939,59432651,59444051,59601252,59626634,59762805,60108430,60200955,60277874,60537362,60549550,60637332,60886576,61347772,61518141,61553965,61674501,62082194,62215342,62300817,62303944,62620156,62639269,62719754,62822241,62846834,63452766,63487875,63680070,63732362,63746992,63777165,63995778,64109714,64204156,64214352,64731254,64784262,64826892,64932294,65057992,65202552,65274246,65714358,65944737,66718820,66837362,66888904,67346769,67625677,67720400,67802824,67925408,68028976,68169550,68497398,68533285,68771197,68981457,69031149,69038904,69123270,69256562,69278110,69627592,70038822,70045045,70091937,70208114,70310824,70446165,70703446,70752565,71120721,71220904,71715366,71720509,72130116,72187300,72199562,72241146,72648070,72659460,72736105,72792356,73037992,73122314,73190241,73224445,73351562,73352871,73422025,73731488,73864758,74283685,74624584,74762974,75142576,75250017,75276914,75666981,75900805,75982024,76168562,76185450,76278177,76416084,76433992,76532598,76656769,77050994,77300350,77503424,77597834,77668767,77695142,77807620,78013864,78032714,78331041,78573074,78683757,78805149,79099677,79186695,79216754,79365544,79575685,79815592,79961162,80062584,80123517,80174725,80212657,80490184,80803274,81060405,81152956,81264469,81264480,81388744,81662845,81803460,81837560,81842954,81863470,81899092,82167741,82239942,82347385,82510504,82562162,82646005,82650556,82947924,83133732,83274314,83379550,83814577,83952657,84054054,84465808,84535398,84667525,84903078,85041057,85368434,85479777,85566118,85624156,85846957,85988241,86156049,86164309,86464432,86624760,86682112,86729234,86965197,87017162,87177684,87191352,87257024,87283326,87310045,87380132,87683954,87765597,87869334,88098981,88106430,88249874,88585705,88616949,88624274,88762792,88861852,88879060,89047717,89083645,89140422,89207464,89286237,89484670,89738812,89792541,89945889,90070407,90280562,90551457,90552074,91080966,91194652,91422540,91447754,91562337,91625162,92066162,92067255,92091592,92399744,92473220,92760420,92824317,92932156,93103021,93367562,93369144,93623954,93980192,94269875,94372156,94803314,94990557,95024034,95052362,95312600,95452689,95490822,95518972,95846824,96067144,96209670,96278162,96463045,96608110,96839114,96887037,96976726,97230556,97272486,97452855,97514812,97517376,97569085,97741534,97903729,97995414,98017394,98090271,98164152,98205072,98236164,98448649,98725406,98816862,98944448,99040669,99175206,99364264,99469005,99510961,99802792,99858141,99982994,...,25307500789266850191875338216590810616707837052666756005550585481299326160312952611204637356438974612510721987811828958939639374142449419107478897488720587983809260068139503646800029040324757291220649898909961825378301729344281394062032032355333369842308724089255154299912975520396462202406510077949268257690037557034093913054706317654180822329406583272050925443039448243648437890792909319942457342510795580557587336154830037937692289177761743365634367540136078968822401464287928895937481622679839380328107099766481578389359577459774883176815149525351602203361221812463012727408578938447554653540087702824275072993237868480599576566353355587331976624950629226064775045412749452906885873674019293648979565848391892165044905765310505111941895459536531413583000924528786321540368038662588271939427667838158948857805664549339610319048203328919525332215853639963345105357854256057426813718425222086032295211685779751824236996451971510058497016886904120160442527402797283111978463343671429626088111040978596674593997520001640504536472999204114249184319404613991962588828447290330056729633623259573027836948965331857294862644883814295361733451201236288267008947516283491240620729189079632807301213741117491995200484692789054841072740368037828288816283558569885258948543140375474871585957161327442555715106662882609098761783251245058164274670695307453185739681628594585454168790290856506852603184766463948327240774766096058704244104171790762028505787137065706807292751489765923501803810052536844748740574046542590682506002539246744224076448489344862732756691246854781948422923616075652171784627876175992115839222394447294041432942802912856760713610156650298943182732836161587586025156252960762247488197920058924947905998818890971419414780554715628538580637592523144776694627994159726847006047866844778458896808033504513450299057777217682023550930993273547697824445579116642868362480214469911397635470360208898864609504051302168696110273239520887806964403656107291608579673624410982069508966516032850830025585550077376564695082900766914131149768418672036555140062410480047686745030373107636150957897586444136012775445413892096742111683394279975181665777743732497859245464489064449421615763078962373641631528849633922995197481124656533198215522478499542920978508799842488830216049696158881910299219821632952754268670333010892920469482500308673952066263278024157784138667902744134939598228355993173748683555623450492292569546066970962339750691907126932083754150801}
15421  1737413796156998316982582335531005330982032273490536013837177582: {231195,246608,277434,785451,1401491,1891371,2002130,2371754,2402556,2477951,2718543,3216719,3305195,3338111,3388220,3401411,3539930,3966234,3982643,4065864,4092843,4247916,4412051,4574097,4768730,5141915,5553263,5689490,5698931,5722476,5756234,6007791,6037192,6170298,6196931,6245498,6256811,6302930,6791841,6825243,6827388,7429715,7563516,7886195,8085525,8101571,8141330,8188012,8342315,8470523,8624560,8725071,8907311,8915658,8922140,9199034,9385571,9463434,9625625,9702630,9708515,9769596,9937418,10010778,10299179,10349472,10404316,10487114,10617515,10706568,10826291,11228891,11396378,11464943,11550750,11594258,11643156,11650218,11689131,11697160,11772683,11966219,11978315,12044889,12225243,12320800,12548303,12724730,12741018,12760491,13072211,13159305,13322639,13439498,13590143,13809539,13860900,14036592,14094831,14361051,14373978,14650643,14652232,14759999,14784960,15140915,15157778,15269676,15456443,15466130,15567596,15742883,15770624,15791166,15883274,15926428,16132991,16264634,16280540,16338971,16378490,16483761,16633080,16940195,17342831,17389115,17607304,17724083,17741952,17782748,17812298,18065451,18169098,18456851,18559356,18712215,18768698,19025771,19140203,19300211,19414490,19508579,19536648,19621052,19623525,19654188,19808217,19923002,19959696,20098091,20163243,20328234,20681519,20685531,20866938,20929490,20931760,20946351,20967515,20984243,21261323,21413234,21467343,21678683,21978729,22454658,22454858,22752040,23047130,23284011,23297388,23349359,23548230,23625071,23929322,24049628,24132143,24158063,24203018,24781276,25115388,25118112,25161018,25241243,25345199,25446140,25596045,25596851,25837202,25894283,26016731,26117391,26141018,26216092,26366930,26641802,26694472,27120539,27197651,27302448,27571730,27591083,27615482,27656556,27658898,27834623,27934665,28040399,28257876,28670511,28987139,29178543,29350643,29412201,29556683,29796976,29938971,29940143,29974511,29977490,29994602,30031281,30064091,30396808,30535368,30715254,30949851,30983951,31013171,31640316,31705743,31762412,31838618,32305691,32430323,32438195,32464943,32825483,32983043,33086076,33086291,33088211,33184538,33461931,33521598,33717119,33912172,34012154,34196409,34347196,34352289,34474490,34575740,34947311,34958811,35014525,35082083,35276879,35566643,35751525,35829131,35972988,36200271,36352115,36499922,36566930,36687002,37009034,37149945,37215731,37253711,37436331,37451560,37783811,38009519,38046578,38134960,38173898,38312819,38329523,38421291,38864303,38925834,39384911,39626608,40227251,40298111,40309583,40380843,40430152,40666715,41357642,41369388,41478745,41490888,41590108,41732243,41929490,41937544,42017430,42064811,42084111,42133005,42141491,42232811,42561818,42820730,42820892,42901830,43195132,43230218,43622538,43880316,43902371,44028314,44145388,44226125,44304530,44408776,44498991,44579934,44606591,44818592,44941872,45129359,45203711,45219243,45483740,45483921,45668243,45761952,45796715,45813851,46026794,46337138,46364968,46378490,46677249,46692602,46732271,46822965,46892271,47130411,47179737,47243978,47266130,47847443,47869859,48201743,48225705,48445960,48456191,48783023,48800058,48811391,48861743,49487531,49774494,49924730,49944496,49959873,50019002,50020750,50315388,50420916,50559606,50713096,50768858,50809490,50994645,51290351,51384876,51440752,51482196,51667676,51970703,52160589,52462682,52941083,53071350,53165330,53165436,53275754,53327651,53478543,53515331,53577098,53744008,53813195,54147525,54234002,54388178,54394288,54486731,54497291,54501705,54515951,54534140,54580488,54865043,54956058,55035251,55654188,55741625,55778618,55875611,55995434,56073482,56187558,56609440,56719356,56925743,56927579,57052233,57394731,57565115,57568730,57623151,57757360,57819179,57870846,58126024,58135152,58196476,58465034,58511003,58527791,58717562,58740338,59085674,59216043,59255350,59327471,59414440,59434732,59525354,59617490,59909676,60024900,60050195,60090431,60120338,60202130,60268091,60409041,60462009,60481643,60633914,60798351,60924143,60971388,61193574,61403049,61521971,61959818,61966799,62111195,62146191,62190011,62318291,62522315,62664239,62666858,63040431,63064840,63083642,63348371,63685620,63798396,63848051,63908243,63941834,64015043,64026560,64163195,64514771,64515052,64575834,64576730,64818543,64876331,64977030,65296511,65391777,65402046,65440968,65499304,65561771,65642378,65749754,65849723,66017723,66216659,66348011,66484271,66740339,66841245,66879743,66889950,67021743,67678491,67815496,67834115,67919325,67931328,67940171,68017034,68073011,68246099,68262131,68264138,68353490,68518034,68623343,68685448,68768751,68965845,69078138,69082476,69223130,69308832,69422219,69444851,69565823,69647843,69802490,69838643,69853611,69860915,70054761,70261871,70286043,70398179,70421212,70428911,70717611,70866458,70947945,71106420,71215151,71297328,71349280,71540988,71565803,71607865,71878715,71915525,72027692,72029880,72060234,72132938,72196691,72242556,72447280,72526940,72592377,72683315,72747131,73271930,73559805,73563568,73621089,73686717,73687898,73702511,73907582,73926911,74008412,74113322,74139011,74501565,74533434,75026778,75252458,75649583,75656378,75677808,75796665,75846848,76009082,76108220,76125071,76292433,76319258,76349896,76422744,76649018,76684715,76831872,76942031,76995834,77208508,77271129,77296552,77347451,77492076,77667443,77879930,77909519,77972436,78056531,78065452,78130191,78275195,78463792,78508211,78753243,79180691,79459178,79468336,79683740,79942511,80209494,80255195,80267940,80299211,80405211,80580143,80731019,80849776,81033615,81322490,81400938,81503190,81608771,81698001,82024188,82232668,82759014,82906259,83067756,83262891,83398525,83465391,83611130,83762988,83833098,83865971,84058751,84419882,84603688,84650500,84753530,84815771,84906760,84922031,84925898,85036220,85068803,85106771,85137534,85327704,85428083,85619136,85644911,85655039,85893633,85929438,85975587,86028434,86254458,86298630,86379016,86435856,86576392,86858459,86936736,86943731,86958621,87032328,87034490,87219978,87327443,87619144,87678803,87888530,87902591,87926316,88056323,88151243,88271766,88453643,88485419,88823891,89026130,89117354,89172719,89201498,89242643,89401878,89439951,89562962,89577371,89592602,89625011,89698273,89784731,89795692,89993279,90162645,90234125,90246794,90311171,90416811,90806043,90824325,90955998,90990445,91297490,91324538,91329864,91918034,91975276,92021658,92041532,92051872,92164360,92208314,92485631,92728943,92783651,92837738,92962883,93123291,93280730,93323013,93385096,93455916,93928220,93930234,93966458,94010699,94025843,94079631,94270251,94827628,94977530,95179149,95256383,95311571,95520105,95542490,95598543,95620488,95727194,95729978,95993667,96162218,96164571,96173488,96306234,96321528,96335891,96469331,96493754,96668618,96879280,97096881,97176393,97240338,97259525,97398441,97517330,97586988,97791743,97803828,97911369,98486344,98571537,98734643,98868911,99106922,99137723,99206930,99299711,99769490,99776171,99816443,...,33743334385689133589167117622121080822277116070222341340734113975065768213750603481606183141918632816680962650415771945252852498856599225476638529984960783978412346757519338195733372053766343054960866531879949100504402305792375192082709376473777826456411632119006872399883967360528616269875346770599024343586716742712125217406275090205574429772542111029401233924052597658197917187723879093256609790014394107410116448206440050583589718903682324487512490053514771958429868619050571861249975496906452507104142799688642104519146103279699844235753532700468802937814962416617350303211438584596739538053450270432366763990983824640799435421804474116442635499934172301419700060550332603875847831565359058198639421131189189553393207687080673482589193946048708551444001232705048428720490718216784362585903557117545265143740886065786147092064271105226033776287804853284460140477139008076569084957900296114709726948914373002432315995269295346744662689182538826880590036537063044149304617791561906168117481387971462232791996693335520672715297332272152332245759206151989283451771263053773408972844831012764037115931953775809726483526511752393815644601601648384356011930021711321654160972252106177076401618321489989326933979590385406454763653824050437718421711411426513678598057520500633162114609548436590074286808883843478798349044334993410885699560927076604247652908838126113938891720387808675803470913021951931102987699688128078272325472229054349371341049516087609076390335319687898002405080070049126331654098728723454243341336718995658965435264652459816977008921662473042597897231488100869562379503834901322821118963192596392055243923737217142347618146875533731924243643781548783448033541670614349663317597226745233263874665091854628559219707406287504718107516790030859702259503992212969129341397155793037945195744044672684600398743702956909364734574657698063597099260772155523824483306952626548530180627146945198486146005401736224928147030986027850409285871541476388811439564832547976092678622021377134440034114066769835419593443867689218841533024558229382073520083213973396915660040497476848201277196781925514683700593885189462322815577859039966908887703658309997145660619318752599228821017438616498188842038466178563993596641499542044264287363304666057227971345066456651773621399594878509213732293095510603672358227110681190560625976667078231936088351037365543712184890536992179919464304474657564998244740831267323056759394755961283119667589209502576111672201068}
15422  1745166739095270430715288010880267112637594043095065964636800675: {215782,308260,369912,416151,477121,585238,892678,937021,1047268,1120477,1138342,1322422,1445062,1577857,1669117,1812598,1873798,2179558,2305921,2487217,2521828,2728918,2758621,3003195,3094438,3203408,3276982,3389377,3459382,3479197,3557631,3603834,3624724,4005718,4235275,4284337,4550758,4611238,4792582,4995121,5082330,5260477,5282543,5288312,5309895,5421152,5456278,5457124,5663888,5877622,5949351,6098796,6140317,6371874,6577537,6897622,7077142,7153095,7446577,7546490,7629968,8010388,8210758,8227064,8479921,8508118,8534235,8567542,8583714,8634351,8907421,9055788,9100324,9103184,9255447,9368247,9454395,9456982,9502897,10084688,10165942,10179121,10235015,10241082,10431517,10460662,10780700,10813798,10850737,11048902,11152675,11268157,11345274,11633428,11694118,11887544,12097597,12211995,12282018,12509617,12617912,12820703,12936840,13005395,13026128,13328257,13347704,13373487,13383210,13798551,13799296,13850182,14195151,14275424,14301121,14553945,14621450,14654394,14660278,14703421,14863837,14906127,15016167,15401000,15406391,15524208,15533624,15582262,15585508,15606474,15730671,16059852,16099078,16136797,16300324,16687921,16900438,16988024,17013988,17079421,17094567,17128822,17326125,17391387,17464734,17475327,17545740,17584822,17702077,17755558,17982982,18088897,18315290,18481200,18715456,18793108,18946678,19087095,19111527,19148068,19165304,19285702,19459495,19511398,19713280,19849462,19908035,19920577,20130742,20159247,20350675,20359568,20372017,20746237,20791350,21054888,21415297,21489277,21560967,21978348,22009130,22032838,22177440,22228435,22736667,22881217,22904514,23032342,23199195,23243197,23315377,23351394,23357663,23655936,23686749,23818621,23824911,23889642,23961757,24087268,24136822,24191878,24225464,24389437,24396951,24420810,24526315,24567735,24745808,24885121,24949620,24960982,25015798,25125382,25508422,25672342,25781542,26048864,26072354,26164700,26205584,26410956,26597207,26612928,26674122,26718447,26884324,26969521,27104312,27249478,27253647,27580708,27785137,27822584,27839034,27928468,28059958,28121917,28153047,28323121,28383142,28440050,28623124,28759462,29081398,29121457,29121735,29188582,29304972,29349238,29431578,29481282,29516737,29647921,29670118,29723542,29884503,29939544,30062035,30203638,30492351,30976595,31045348,31063184,31135837,31300407,31318822,31394235,31397640,31424662,31642831,31807675,31952902,32119851,32336257,32770115,33265597,33368090,33371158,33487184,33490816,33548024,33681987,33682287,33796451,33936817,34128060,34178737,34466182,34539457,34570695,34673282,34725862,34823188,34946082,35322345,35371057,35376383,35664637,35893983,36074442,36121222,36304527,36403264,36695351,36875408,36991921,37171914,37246220,37275421,37673082,37677168,37725277,37741527,37996010,38004097,38169210,38227348,38391421,38755803,38829757,38857679,38904724,38938621,39211527,39216268,39324138,39482998,39550395,39639217,39703015,39835462,39918628,39962703,40041708,40117117,40569347,40588102,40641277,40713824,40953672,41266468,41357595,41414017,41423223,41436742,41464957,41484834,41486518,41488347,41718577,41735158,42187088,42220417,42274324,42386814,42390215,42419137,42794191,42824422,42910897,42933995,43219675,43299121,43635037,43701434,43709878,44114768,44373959,44541382,44615908,44695464,44736358,44966235,44991903,45010658,45080257,45171121,45595212,45610582,45755782,45803052,45900838,46072881,46369597,46499521,46575862,46611748,46623958,46814450,46864198,47026007,47199862,47439142,47460474,47557021,47595002,47630278,47639677,47643618,47668700,47757927,47963984,48089137,48250417,48267028,48724342,48883483,49039537,49055638,49232317,49270657,49375547,49533260,49537021,49574662,49629114,49725121,49776807,49915108,50095921,50282397,50537690,50606902,50745217,50860271,50868258,50886337,51018231,51228388,51520794,51538582,51608317,51711735,51863610,51901112,51940957,51987635,52071997,52140742,52234177,52421930,52556038,52647421,52741057,53048497,53199478,53526115,53554621,53657158,53748502,53756977,53841124,53959482,53993915,54178717,54342877,54567718,54663421,54749883,54845617,54850395,54884902,55030503,55159184,55174621,55181735,55224157,55321184,55346737,55371037,55419421,55510970,55513551,55516918,55561942,55586497,55696918,55726897,55773121,55887421,56023240,56112148,56177340,56190598,56593078,56776477,56796097,56854675,57069867,57127702,57193994,57202440,57260847,57305398,57311891,57385921,57669277,57685297,57704278,57795421,57871921,57946621,57956210,58062397,58163384,58234102,58267057,58357021,58388751,58419121,58443457,58455517,58503037,58507088,58594621,58616797,58670977,58702621,58773937,58897021,58941121,58980742,59047357,59112022,59120797,59154817,59211517,59240497,59307421,59316637,59331988,59338559,59342557,59369521,59396017,59410237,59433277,59439912,59457757,59458621,59459377,59679238,59754851,59766262,59922496,60099767,60200422,60292324,60557450,60589798,60645228,61015936,61046183,61578982,61878358,62006422,62036463,62054082,62134342,62236332,62385162,62430620,62523028,62729398,62840548,62856502,62894235,62906316,63026145,63279142,63363478,63391370,63489862,63842727,63910102,64231095,64231338,64300940,64352745,64368122,64551227,64584595,64662502,64792698,64845327,65036758,65066744,65244118,65433807,65820474,66042471,66218082,66233878,66365992,66456795,66479878,66613164,66806159,66869901,67087184,67092358,67180010,67227888,67412808,67634483,67822582,67943782,67992860,68167675,68225610,68226022,68513168,68642928,68655818,68667958,68828182,69040191,69307318,69505707,69534794,69547452,69567735,69665158,70021702,70038903,70691638,70743554,70761800,70865967,70887248,70899195,71044438,71304724,71395942,71512822,71668438,72196700,72211078,72657530,72668940,72673702,72745595,72773984,72788998,72942502,73200087,73274744,73820182,73934038,74028227,74205584,74268050,74293415,74501158,74661741,74726998,74877238,74887095,74916744,75028503,75031125,75289078,75473082,75581639,75625808,75631374,75754343,75839409,76069644,76153287,76195999,76214235,76526308,76666751,76733638,76830868,77077314,77161128,77223294,77501514,77513536,77610502,77646838,77864518,78370198,78514102,78694023,78831050,78954724,79229782,79265398,79478758,79607025,79747995,79748154,79879568,79913631,80009638,80033200,80115382,80220982,80326438,80365647,80396662,80545388,80616012,80643815,80816662,81064468,81234358,81275051,81295184,81351003,81582267,81591432,81711959,81801210,81870732,81874130,81959782,82302742,82434087,82575958,82780198,82861588,82882102,83481282,83558618,83624998,83667927,83725702,83993151,83993542,84053908,84110223,84151802,84281337,84393382,84769370,84790918,84914160,84988822,85064528,85079034,85218982,85317382,85611718,85709542,85807222,85856810,86101112,86175551,86353095,86358022,86424724,86636040,86744038,86806269,87032038,87189036,87202728,87254624,87294714,87350518,87697551,88026515,88076343,88110507,88356242,88358902,88628511,88670662,88825942,88883025,89121660,89152098,89186600,89288031,89362324,89426235,89864514,90034615,90037350,90114502,90180507,90205462,90237988,90296278,90303195,90326518,90559100,90575104,90658675,90950871,91457082,91670758,91691668,91759222,91790361,91954460,92104184,92109968,92111638,92411776,92510515,92693878,92809558,92939727,93138148,93298342,93406348,93668998,93714724,93924022,94000287,94290148,94597260,94625463,94808560,94848022,95063104,95069398,95096998,95135275,95234758,95387984,95437370,95481718,95528430,95697594,95912751,95946599,95998822,96039827,96039840,96080312,96133942,96295558,96323408,96483382,96510635,96617062,96620690,96772578,96789836,96863751,96865095,96989354,97465545,97515478,97581815,97593862,97802182,98035318,98061142,98063063,98079740,98103069,98161452,98248956,98463567,98497702,98624631,99053591,99055798,99131302,99331942,99335420,99377912,99523919,99604675,99804358,...,50615001578533700383750676433181621233415674105333512011101170962598652320625905222409274712877949225021443975623657917879278748284898838214957794977441175967618520136279007293600058080649514582441299797819923650756603458688562788124064064710666739684617448178510308599825951040792924404813020155898536515380075114068187826109412635308361644658813166544101850886078896487296875781585818639884914685021591161115174672309660075875384578355523486731268735080272157937644802928575857791874963245359678760656214199532963156778719154919549766353630299050703204406722443624926025454817157876895109307080175405648550145986475736961199153132706711174663953249901258452129550090825498905813771747348038587297959131696783784330089811530621010223883790919073062827166001849057572643080736077325176543878855335676317897715611329098679220638096406657839050664431707279926690210715708512114853627436850444172064590423371559503648473992903943020116994033773808240320885054805594566223956926687342859252176222081957193349187995040003281009072945998408228498368638809227983925177656894580660113459267246519146055673897930663714589725289767628590723466902402472576534017895032566982481241458378159265614602427482234983990400969385578109682145480736075656577632567117139770517897086280750949743171914322654885111430213325765218197523566502490116328549341390614906371479363257189170908337580581713013705206369532927896654481549532192117408488208343581524057011574274131413614585502979531847003607620105073689497481148093085181365012005078493488448152896978689725465513382493709563896845847232151304343569255752351984231678444788894588082865885605825713521427220313300597886365465672323175172050312505921524494976395840117849895811997637781942838829561109431257077161275185046289553389255988319453694012095733689556917793616067009026900598115554435364047101861986547095395648891158233285736724960428939822795270940720417797729219008102604337392220546479041775613928807312214583217159347248821964139017933032065701660051171100154753129390165801533828262299536837344073110280124820960095373490060746215272301915795172888272025550890827784193484223366788559950363331555487464995718490928978128898843231526157924747283263057699267845990394962249313066396431044956999085841957017599684977660432099392317763820598439643265905508537340666021785840938965000617347904132526556048315568277335805488269879196456711986347497367111246900984585139092133941924679501383814253864167508301602}
15423  1752954003973707518473135887718240951410658331783466904185931802: {323673,385325,462390,493216,554868,877857,1309085,1339017,1570902,1707513,1863521,1983633,2167593,2718897,2802982,2810697,3152285,3269337,3782742,3801577,4004260,4093377,4530905,4627273,4641657,4743508,4805112,4907177,4915473,4955902,5189073,5405751,5437086,6008577,6014753,6433438,6610390,6676222,6776440,6802822,6821405,6826137,6916857,7079860,7188873,7198681,7394413,7580861,7623495,7932468,7965286,8131728,8134433,8184417,8185686,8495832,8816433,8824102,8954297,9054697,9148194,9537460,9557811,10012985,10283830,10346433,10401601,10615713,11040673,11106526,11319735,11375405,11378980,11397862,11444952,11512468,11679241,12015582,12074384,12171757,12271841,12316137,12340596,12393862,12490996,12513622,12549937,12605860,12762177,12851313,12875571,13475875,13583682,13591921,13650486,13654776,13995377,14185473,14483537,14541785,14761921,14859430,14864521,15127032,15248913,15361623,15690993,15744937,15772390,16171050,16203142,16220697,16282660,16376024,16573353,16684630,16769641,16941046,17017911,17249120,17450142,17541177,17814622,17831316,17844280,18398068,18423027,18771142,18926868,19016657,19251250,19309693,19405260,19417030,19481885,19539192,19874836,20021556,20074815,20375405,20460217,20496073,20598358,20698944,20775273,20808632,20974228,21012781,21197281,21235030,21264097,21267485,21413136,21652582,21932175,21981591,21990417,22457782,22792756,22929886,23101500,23188516,23286312,23300436,23373393,23378262,23394320,23409711,23491385,23545366,23716273,23932438,23935085,23956630,24089778,24148617,24344761,24450486,24641600,25016057,25032257,25096606,25350657,25449460,25482036,25520982,25693233,26144422,26197101,26318610,26377233,26633337,26645278,26878996,26974473,27180286,27472935,27594697,27619078,27721800,27828881,28073184,28189662,28210801,28420017,28722102,28747956,28928553,28990921,29267097,29301286,29304464,29354521,29519998,29569920,29774193,29953417,29993777,30109085,30196113,30281830,30315556,30539352,30912886,30932260,31135192,31187025,31485766,31541248,31582332,31766548,31852856,32265982,32529268,32561080,32677942,32705875,32756980,32967522,33013695,33049257,33266160,33309917,33605405,33861761,33880390,34356771,34475885,34548513,34666897,34685662,34778230,34910585,35027091,35214608,35448166,35483904,35539577,35561501,35565496,35624596,35778905,35834463,36130902,36205233,36287817,36338196,36631215,36863401,36913702,37118712,37424430,37441473,37501537,37523697,37537396,37688073,37975801,38051542,38179453,38262633,38280406,38508513,38600422,38672313,38806685,38828980,39017158,39073296,39108531,39242104,39247050,39308376,39616434,39730913,39846004,39889817,39919392,40011183,40181737,40196182,40326486,40656468,40874217,41360413,41363038,41371062,41690857,41733876,41758551,41858980,41859521,41863520,41892702,41935030,41968486,42089937,42522646,42574713,42660075,42826468,42934686,43139193,43357366,43528985,43622097,43782873,43826057,43957458,44023857,44027113,44116753,44147367,44221923,44505177,44585313,44742361,44800253,44909316,44909716,45305457,45413473,45504080,46005497,46094260,46335761,46557775,46568022,46594776,46698718,46769921,46978233,47096460,47136993,47201377,47250142,47435561,47784185,47858644,47929353,48048673,48093713,48099256,48264286,48316126,48406036,48630905,48817777,49020335,49562552,49898285,50052135,50056737,50230776,50236224,50322036,50482486,50690398,50892280,50892961,51192090,51193702,51583085,51660521,51674404,51699273,51788566,52009923,52033462,52062497,52088793,52234782,52282036,52419123,52432184,52733860,52842905,53283604,53334697,53388944,54111663,54181833,54241078,54395302,54604896,54872221,55143460,55182166,55230964,55313112,55317796,55669246,55757871,55769885,55869330,56080798,56509623,56515752,56933401,56994015,57253815,57341022,57570137,57974278,57984137,58070243,58264685,58357086,58509953,58701286,58824402,58986207,59113366,59224497,59444297,59585875,59593952,59753193,59877942,59880286,59949022,59954980,59989204,60062562,60100253,60128182,60333785,60588233,60793616,60882153,60908737,61070736,61430508,61612141,61899702,61916575,61967902,62026342,62155113,62227251,62229777,62393885,62602737,63280632,63411486,63524824,63580221,63677236,63945521,64035485,64115401,64236633,64611382,64860646,64876390,64929886,65552151,65564817,65650966,65966086,66034813,66172152,66172582,66176422,66185981,66369076,66812073,66923862,67043196,67104537,67247513,67301405,67434238,67515987,67661833,67824344,68024308,68081917,68331757,68392818,68415873,68632321,68633673,68694392,68704578,68851257,68948980,69151480,69221501,69863793,69894622,69917622,69935937,70029050,70140185,70164166,70221675,70296297,70553758,70741277,70799793,71133286,71158713,71190711,71343121,71392503,71445417,71465427,71503050,71575177,71658262,71702041,71945976,72400542,72704230,72943937,72999844,73086513,73133860,73374004,73583457,73744361,74018068,74057737,74164985,74299890,74361993,74431462,74443671,74507422,74872662,74903120,75338473,75365405,75567622,75806535,75816521,75910353,76019038,76093156,76269920,76302387,76347796,76625638,76659046,76787801,76842582,77281191,77307873,77482093,77728606,77795415,77851668,78038275,78153785,78211113,78550685,78632895,78769822,78834057,79218233,79253216,79799217,80376175,80454502,80485737,80591161,80596222,80619166,80622753,80761686,80860304,80861161,80939223,81061793,81305617,81333430,81411133,81734957,81851577,82327353,82715284,82738776,82957490,82981776,83180216,83266455,83275377,83340017,83342913,83464486,83545377,83858980,83875088,84034860,84070273,84129622,84168222,84266010,84282982,84285897,84465622,84889617,84991075,85123636,85340321,85641460,85641784,85691553,85790991,85803660,85958097,86390264,86460436,86556417,86556473,86934315,86955673,87245076,87351153,87455177,87531241,87760632,87804742,88056628,88067857,88290776,88452250,88471113,88609060,88668033,88817552,88997982,89130905,89159868,89213182,89518857,89637184,89649393,89746177,89828473,89883744,89965993,89980217,90245875,90258718,90300633,90333053,90407422,90438486,90836175,90884697,90935617,90952217,90967480,90967842,91095457,91336486,91523904,91563713,91593430,91627702,92053588,92368473,92674276,92729936,92756980,92817537,92902337,93009633,93058397,93081123,93201513,93354498,93385204,93464542,93577743,93615497,93645930,93725617,93784542,94094097,94260822,94284753,94359474,94477513,94487956,94532260,94794097,94918713,94967761,95045217,95087055,95234793,95657885,95694886,95739718,95865153,95872297,96038585,96347007,96403486,96446897,96451410,96552183,96891920,96912382,96993753,97189047,97555137,97566046,97600116,97602857,97622782,97723486,97805281,97866177,98693405,98730711,98975062,99168241,99307421,99327123,99350817,99548988,99719817,99849460,99888992,99919746,...,75922502367800550575626014649772431850123511158000268016651756443897978480938857833613912069316923837532165963435486876818918122427348257322436692466161763951427780204418510940400087120974271873661949696729885476134905188032844182186096097066000109526926172267765462899738926561189386607219530233847804773070112671102281739164118952962542466988219749816152776329118344730945313672378727959827372027532386741672762008464490113813076867533285230096903102620408236906467204392863786687812444868039518140984321299299444735168078732379324649530445448576054806610083665437389038182225736815342663960620263108472825218979713605441798729699060066761995929874851887678194325136238248358720657621022057880946938697545175676495134717295931515335825686378609594240749002773586358964621104115987764815818283003514476846573416993648018830957144609986758575996647560919890035316073562768172280441155275666258096885635057339255472710989355914530175491050660712360481327582208391849335935390031014288878264333122935790023781992560004921513609418997612342747552958213841975887766485341870990170188900869778719083510846895995571884587934651442886085200353603708864801026842548850473721862187567238898421903641223352475985601454078367164523218221104113484866448850675709655776845629421126424614757871483982327667145319988647827296285349753735174492824012085922359557219044885783756362506370872569520557809554299391844981722324298288176112732312515372286085517361411197120421878254469297770505411430157610534246221722139627772047518007617740232672229345468034588198270073740564345845268770848226956515353883628527976347517667183341882124298828408738570282140830469950896829548198508484762758075468758882286742464593760176774843717996456672914258244341664146885615741912777569434330083883982479180541018143600534335376690424100513540350897173331653046070652792979820643093473336737349928605087440643409734192906411080626696593828512153906506088330819718562663420893210968321874825739020873232946208526899548098552490076756650232129694085248702300742393449305256016109665420187231440143060235091119322908452873692759332408038326336241676290226335050182839925544997333231197493577736393467193348264847289236887120924894586548901768985592443373969599594646567435498628762935526399527466490648149088476645730897659464898858262806010999032678761408447500926021856198789834072473352416003708232404818794685067979521246050666870351476877708638200912887019252075721380796251262452403}
15424  1760775741527685245534232657892727825470162079913532435329656473: {169543,354223,431564,616520,630703,693585,722719,739824,832302,954242,1170476,1785356,1874042,2094319,2094536,2240954,2276684,2356353,2644844,2890124,2909503,2999719,3155714,3338234,3625196,3747596,3808423,3987343,4204473,4359116,4433383,4611842,4788919,4974434,5005325,5043656,5231719,5457836,5517242,5674113,5929385,6006390,6188876,6406816,6553964,6778754,6918764,6958394,6984919,7115262,7207668,7249448,7433853,8011436,8155629,8280919,8470550,8568674,8794783,8849825,9101516,9222476,9475903,9585164,9645463,9650157,9915585,9983719,9990242,10014333,10068103,10164660,10204233,10320823,10520954,10565086,10576624,10619790,10842304,10912556,10914248,11327776,11657719,11755244,11898702,11921825,11947929,12197592,12278529,12280634,12566143,12743748,12812383,12894319,13155074,13236153,13722291,13795244,14114719,14154284,14223725,14306190,14329021,14390585,14598343,14893154,15092980,15259936,15425745,15613745,15716719,15757325,15796063,16020776,16421516,16454128,16659789,16820983,16959842,17016236,17068470,17096793,17135084,17167428,17268702,17289919,17814842,18023373,18111576,18200648,18206368,18207553,18510894,18590793,18736494,18770433,18908790,18913964,19005794,19215919,19292023,19973719,20169376,20331884,20353325,20358242,20375523,20470030,20475729,20482164,20485421,20798983,20863034,20921324,21022543,21171223,21561400,21627596,21701474,21910303,22097804,22289145,22305350,22536314,22690548,22932919,22997585,23266856,23388236,23658585,23726503,23775088,24195194,24256575,24304713,24423990,24564036,24653143,24843545,25019234,25026945,25076719,25235824,25357663,25411569,25641406,25707223,25873680,26010790,26052256,26175213,26217785,26538823,26656514,26695408,26721933,26746974,26766420,26882263,27155719,27243293,27597102,27598592,27700364,27834319,27871249,28103743,28156713,28390302,28490945,28550848,28602242,28876875,28985645,29107890,29125545,29169919,29242900,29308788,29320556,29406842,29499319,29727674,29812254,29892223,30032334,30152719,30802000,30812782,30897537,31048416,31055383,31067248,31119809,31164524,31171016,31212948,31437919,31461342,31501423,31691503,31811825,31852545,32119704,32198156,32273594,32478873,32600648,32632183,33375842,33598745,33678703,33686673,33800876,33976048,34027976,34158842,34189134,34257644,34336841,34394829,34464943,34652250,34782774,34883263,34929468,34950654,35067393,35091480,35120719,35169644,35318049,35365517,35404154,35511116,35898657,35934945,35965964,36134667,36177794,36290719,36578719,36630580,36675729,36962400,37375543,37396073,37430912,37488223,37586216,37644909,37893356,37894445,38174190,38223054,38281473,38296136,38330608,38571404,38665325,38918990,39022796,39216633,39305863,39426560,39477915,39698924,39708185,39816070,39841154,39967917,40211623,40261484,40318494,40661585,40701350,40719136,40744034,40770429,40946225,40993543,41428617,41492474,41582700,41658103,41960719,42086849,42109776,42210919,42284493,42508783,42705919,42755023,42830594,42978554,43083153,43121934,43367233,43911919,43951929,43956696,44018260,44065676,44194663,44279997,44354880,44456870,44530745,45422745,45473334,45703423,45762434,45792343,45809028,45878161,46064684,46232623,46369329,46398390,46486394,46630754,46702788,46715326,46921745,47217943,47228649,47311872,47373498,47510263,47637242,47649822,47779284,47923514,48084319,48174536,48273644,48383756,48398973,48450928,48485719,48536225,48644263,48778874,48793902,48840823,48841620,49016913,49052630,49135470,49451283,49491616,49770242,49807505,49899240,49921964,50031596,50056183,50250764,50348503,50574953,50600503,50820585,50954383,51016844,51093919,51344684,51563084,51774319,51939919,52028493,52097728,52144708,52167345,52323725,52329400,52411168,52552783,52584319,52821912,52926463,53018263,53172249,53194414,53225856,53319583,53348244,53436894,53467543,53526223,53533085,53768648,53815303,53939042,53943857,54069319,54196353,54207919,54208624,54498956,54506503,54507294,54586423,54634481,54899623,54976303,55161416,55251919,55370553,55570274,55584221,55645168,55678068,55823023,55856936,56119916,56136645,56137145,56202463,56243834,56288719,56306094,56499319,56581543,56646242,56702719,56722663,56766284,56879623,56880100,56918143,56975383,57013183,57077313,57179719,57197863,57246248,57251863,57375343,57420609,57444319,57518924,57617825,57771389,57900633,57939823,57984103,58154743,58162796,58242914,58243470,58377164,58525737,58570543,58609944,58691719,58698476,58833343,58863156,58870575,58934719,58962564,58969423,59033474,59132719,59160223,59199319,59205583,59264263,59295842,59310919,59329783,59340236,59346301,59424319,59424651,59436919,59439223,59445703,59447084,59447719,59458303,59463919,59769006,59823305,59879088,60107593,60124070,60294273,60407276,60489729,60507545,60984702,61953190,62044557,62056593,62090696,62126368,62271674,62600814,62637644,62788470,62795280,62839053,62849324,62902545,62952729,63285662,63615350,63783969,63905804,64239702,64402029,64593005,64672514,65036049,65352545,65540230,65917325,65936187,66119273,66531194,66604505,66736180,66742316,66974368,66981632,67096048,67363974,67364574,67592902,67873634,68256120,68357474,68929325,68932364,69038705,69078914,69141390,69147245,69346564,69451724,69646376,69852033,69892164,70048077,70644690,70742114,70752766,70875213,71329274,71787966,72145489,72148884,72242444,72396429,72474189,72609054,72782689,72806528,73390702,73750816,73983842,74343828,74492440,74550842,74936561,74943725,74986505,75346164,75354336,75450554,75483054,75527549,75591481,75723729,75992020,76008194,76035597,76205921,76338420,76454696,76782842,76788135,76790553,77254429,77511606,77659514,77682849,77715358,77809448,77877242,78050193,78352173,78423054,78432536,78648276,78965996,79100790,79278434,79406030,79596545,79670924,79837256,79912877,79925406,80083416,80234234,81138694,81176204,81282554,81361617,81427648,81592953,81907344,82532936,82715190,82773249,82828034,82846446,82873484,82929914,82961345,82969668,82973036,82976694,83437154,83470316,83503869,83803995,84121197,84374176,84440834,84548648,84773628,84780430,84838274,85030385,85588382,85648844,85821794,85867990,86011533,86186225,86439350,86598242,86961417,87270074,87402868,87419756,87535629,88051929,88229536,88236603,88670049,88747918,89082764,89231816,89390928,89472716,89816913,89820429,89923533,89932470,89983806,90021316,90049817,90093843,90160514,90192273,90342242,90418433,91190424,91221164,91249805,91417325,91511564,91606104,91717505,91801676,92145762,92522585,92739194,92849553,92951853,92999042,93039513,93151724,93223496,93247916,93628900,93728396,94052014,94399724,94878284,94920948,95114042,95116445,95117229,95190004,95260556,95279354,95287236,95337400,95434745,95515854,95927968,96052333,96178274,96500834,96534056,96917073,97290969,97314585,97394829,97448684,97766966,98079074,98111276,98433137,98464634,98476449,98541314,98751094,98949129,99066520,99074042,99149324,99258228,99258873,99264633,99450242,99553614,99830216,...,101230003157067400767501352866363242466831348210667024022202341925197304641251810444818549425755898450042887951247315835758557496569797676429915589954882351935237040272558014587200116161299029164882599595639847301513206917377125576248128129421333479369234896357020617199651902081585848809626040311797073030760150228136375652218825270616723289317626333088203701772157792974593751563171637279769829370043182322230349344619320151750769156711046973462537470160544315875289605857151715583749926490719357521312428399065926313557438309839099532707260598101406408813444887249852050909634315753790218614160350811297100291972951473922398306265413422349327906499802516904259100181650997811627543494696077174595918263393567568660179623061242020447767581838146125654332003698115145286161472154650353087757710671352635795431222658197358441276192813315678101328863414559853380421431417024229707254873700888344129180846743119007296947985807886040233988067547616480641770109611189132447913853374685718504352444163914386698375990080006562018145891996816456996737277618455967850355313789161320226918534493038292111347795861327429179450579535257181446933804804945153068035790065133964962482916756318531229204854964469967980801938771156219364290961472151313155265134234279541035794172561501899486343828645309770222860426651530436395047133004980232657098682781229812742958726514378341816675161163426027410412739065855793308963099064384234816976416687163048114023148548262827229171005959063694007215240210147378994962296186170362730024010156986976896305793957379450931026764987419127793691694464302608687138511504703968463356889577789176165731771211651427042854440626601195772730931344646350344100625011843048989952791680235699791623995275563885677659122218862514154322550370092579106778511976638907388024191467379113835587232134018053801196231108870728094203723973094190791297782316466571473449920857879645590541881440835595458438016205208674784441092958083551227857614624429166434318694497643928278035866064131403320102342200309506258780331603067656524599073674688146220560249641920190746980121492430544603831590345776544051101781655568386968446733577119900726663110974929991436981857956257797686463052315849494566526115398535691980789924498626132792862089913998171683914035199369955320864198784635527641196879286531811017074681332043571681877930001234695808265053112096631136554671610976539758392913423972694994734222493801969170278184267883849359002767628507728335016603204}
15425  1768632103149318623744480006066200734823916031271338694030799186: {539455,647346,770650,924780,986432,1109736,1248453,1431363,1463095,1755714,1832719,2202343,2231695,2618170,2678034,2811063,2845855,3141804,3306055,3361431,3415026,3612655,3727042,3893923,3967266,4335186,4413199,4447999,4531495,4684495,4733571,5007351,5245603,5437794,5448895,5605964,5621394,5799391,6258439,6304570,6343267,6538674,6722371,6822295,6917763,6933223,7461651,7565484,7603154,7736095,8008520,8103679,8186754,8192455,8275863,8472727,8648455,8955463,9009585,9061810,9254546,9283314,9487016,9549967,9610224,9814354,9830946,9911804,10014295,10168131,10253791,10378146,10437591,10582351,10672893,10811502,10874172,11376895,11528095,11981455,12017154,12029506,12273439,12705825,12853011,12866876,13220780,13352444,13552880,13605644,13640695,13642810,13652274,13715587,13833714,13997203,14018179,14159720,14377746,14397362,14485423,14694055,14788826,14985363,15161722,15190051,15246990,15395047,15781431,15847629,15864936,15925567,15929685,15930572,16263456,16268866,16368834,16371372,16480207,16539991,16991664,17012743,17244055,17632866,17648204,17692855,17848053,17908594,18016339,18109394,18296388,18420951,18710431,18866225,19074920,19115622,19732611,20025970,20358499,20526895,20567660,20586847,20692866,20803202,20920687,21231426,21270295,21355939,21418855,21459285,22081346,22213052,22339731,22474231,22639470,22750810,22757960,22795724,22889904,23022439,23024936,23177647,23358482,23642455,24031164,24148768,24343514,24543682,24632274,24681192,24787724,24981992,25027244,25035523,25099874,25211720,25351843,25414855,25439763,25524354,25602705,25702626,25737391,25751142,25903053,26151655,26282119,26722263,26951750,27034495,27167364,27183842,27274639,27300972,27309552,27622255,27766341,27990754,28104741,28349047,28363185,28370946,28508691,28525567,28967074,29003623,29083570,29235295,29243971,29523842,29564431,29718860,29729042,29774479,29784247,30254064,30328903,30497826,30537363,30705045,30723246,31102867,31294551,31345711,31381986,31489874,31544780,32342100,32406284,32441394,32552211,32565320,32752048,32887939,32975239,33146706,33314263,33369260,33458025,33463207,33509119,33539282,33804471,33866179,33882092,34021879,34035822,34498240,34625455,34900284,34934791,35082354,35447191,35566159,35629244,35662632,35688560,36080647,36243331,36292791,36553625,36635985,36650695,36796136,36846054,36858391,37528851,37542284,37853736,37921939,38033314,38462109,38502500,38619386,38651047,38810520,38834060,38955655,38963770,39016185,39078384,39507367,39736111,39745207,39749672,39984771,40043112,40120461,40149630,40223623,40247695,40750810,40920434,40992146,41196716,41395653,41397888,41550546,41617264,41948456,42025562,42152719,42251095,42394562,42470060,42479587,42528194,42534970,42585453,42822055,42826272,42903363,43031071,43036087,43269199,43305164,43661835,43864350,43962055,43963182,43980834,44110263,44388895,44576143,44591511,44718381,44915564,44957455,45048501,45585512,45788225,45859772,46011523,46122439,46203000,46219173,46377032,46572624,46600872,46746786,46756524,46788640,46819422,46853479,46982770,47047567,47090732,47102803,47142511,47192013,47366695,47432546,47441767,47864876,47870170,47883751,47913260,48179556,48214255,48266239,48297234,48322207,48410391,48689522,48734983,48778495,48795811,48874819,48900972,49283200,49409599,49470343,49623655,50032114,50063763,50064514,50070871,50090467,50193212,50326855,50379607,50701314,50706979,50898920,50964072,51016339,51041964,51079459,51238263,51283701,51386466,51787027,51794431,51978375,51992743,52174161,52288844,52394202,52425981,52637220,52754466,53106231,53266674,53283667,53290556,53757992,53948946,54266691,54329359,54360572,54602131,54917203,54945870,55022825,55082095,55189394,55238156,55273543,55443600,55657762,55890439,56146368,56235727,56379324,56421602,56805187,56840034,57127519,57261285,57334581,57444204,57495912,57580855,57857106,57981842,58378485,58481863,58534194,58602572,58608928,58709042,59039996,59139840,59191831,59548386,59724105,59761731,59906834,59987554,60218170,60342055,60392226,60476947,60477741,60479695,60563660,60624007,60631112,60796399,60940579,61052025,61053343,61078704,61116051,61825772,61864520,61983043,62238711,62270384,62374050,62402455,62539495,62813455,62971532,63082496,63164664,63325603,63533096,63705712,63771055,63953887,64180855,64245891,64453855,64467831,64531964,64682901,65058536,65122160,65180885,65355884,65411750,65513960,65579239,65935044,66027390,66098514,66222343,66532320,66619834,66685305,66897859,67020199,67170871,67210810,67256311,67723522,67760780,68083267,68123695,68210001,68628469,68643651,68713542,68951770,69097026,69230647,69333794,69371324,69556460,69597585,69729591,69736159,69821170,69857599,69946131,70054182,70072989,70149895,70252351,70429216,70750543,70896332,70957855,70967808,71034403,71060247,71079154,71100125,71123002,71130992,71249192,71251879,71252707,71455863,71474733,71557810,71668926,71885271,71898655,72006391,72216319,72261804,72410466,72519919,72575634,72676392,72703495,72720259,72971455,73168311,73190853,73262430,73373095,73578945,73703205,73726802,73827404,73972567,73980067,74175295,74192071,74237424,74308855,74655363,74848860,74882946,75003074,75047394,75074792,75188839,75376146,75509095,75951602,76103084,76145443,76358906,76525266,76560812,76782739,76797859,77017026,77200844,77344626,77365207,77613370,77657960,78034316,78077839,78146592,78217062,78223087,78297055,78484208,78494100,78561655,78616752,78812119,78830179,78991447,79232868,79461826,79692008,79779634,79791621,79838784,79882255,79916191,80022366,80155341,80219527,80363474,80392364,80599123,80652972,80908563,81312936,81325399,81570559,81745663,81748434,81760941,82720826,82726076,82742124,83353471,83355411,83381714,83420225,83427895,83467752,83517102,83717960,83719042,83727040,83785404,83870060,83936972,84037423,84179874,84365751,84459141,84467299,84838279,84969363,85045292,85149426,85320150,85652936,85667923,85869372,86165455,86206471,86278386,86683205,86714732,86814655,86831887,87057970,87244194,87351439,87364371,87365205,87384487,87565746,87652114,87914916,88047714,88054226,88174351,88233506,88294734,88443846,88550211,88844839,88943763,89010354,89170626,89454739,89484722,89600506,89601343,89649679,89653509,89818632,89819432,89992003,90186105,90303055,90610914,90826946,91008160,91049047,91386151,91477053,91575811,91972243,92010994,92188520,92514871,92671522,92753251,92929785,93115550,93136044,93189552,93228883,93397436,93407511,93539842,93901221,93956466,94035343,94182705,94192920,94221967,94273986,94307503,94311523,94402754,94500284,94871122,94928493,94990025,95423025,95568370,95717288,95737939,95858706,96097346,96187426,96198512,96330067,96359553,96528572,96632252,96677383,96812072,97008771,97261810,97597831,97635554,97727023,97928743,98016199,98040670,98123791,98136799,98196259,98310345,98707495,99125104,99163711,99588655,99796570,99796791,...,151845004735601101151252029299544863700247022316000536033303512887795956961877715667227824138633847675064331926870973753637836244854696514644873384932323527902855560408837021880800174241948543747323899393459770952269810376065688364372192194132000219053852344535530925799477853122378773214439060467695609546140225342204563478328237905925084933976439499632305552658236689461890627344757455919654744055064773483345524016928980227626153735066570460193806205240816473812934408785727573375624889736079036281968642598598889470336157464758649299060890897152109613220167330874778076364451473630685327921240526216945650437959427210883597459398120133523991859749703775356388650272476496717441315242044115761893877395090351352990269434591863030671651372757219188481498005547172717929242208231975529631636566007028953693146833987296037661914289219973517151993295121839780070632147125536344560882310551332516193771270114678510945421978711829060350982101321424720962655164416783698671870780062028577756528666245871580047563985120009843027218837995224685495105916427683951775532970683741980340377801739557438167021693791991143769175869302885772170400707207417729602053685097700947443724375134477796843807282446704951971202908156734329046436442208226969732897701351419311553691258842252849229515742967964655334290639977295654592570699507470348985648024171844719114438089771567512725012741745139041115619108598783689963444648596576352225464625030744572171034722822394240843756508938595541010822860315221068492443444279255544095036015235480465344458690936069176396540147481128691690537541696453913030707767257055952695035334366683764248597656817477140564281660939901793659096397016969525516150937517764573484929187520353549687435992913345828516488683328293771231483825555138868660167767964958361082036287201068670753380848201027080701794346663306092141305585959641286186946673474699857210174881286819468385812822161253393187657024307813012176661639437125326841786421936643749651478041746465892417053799096197104980153513300464259388170497404601484786898610512032219330840374462880286120470182238645816905747385518664816076652672483352580452670100365679851089994666462394987155472786934386696529694578473774241849789173097803537971184886747939199189293134870997257525871052799054932981296298176953291461795318929797716525612021998065357522816895001852043712397579668144946704832007416464809637589370135959042492101333740702953755417276401825774038504151442761592502524904806}
15426  1776523240890300596718532844208428487171257442212592738739988259: {200369,339086,661469,708446,814769,863128,971019,1029053,1155975,1233040,1261406,1387170,1445438,1479648,1486913,1639133,1664604,1730369,1908484,1942973,2094593,2124893,2276273,2340952,2397233,2487869,2548253,2633571,2939969,3030173,3450173,3539969,3570712,3629693,3748084,3927255,4017051,4188638,4189072,4196273,4481908,4553368,4712706,5122539,5261873,5289688,5320769,5590563,5614769,5780248,5819006,5950899,5999438,6141953,6311428,6502779,6637469,6676468,6840833,7007455,7159613,7250392,7275293,7495192,7506269,7616846,7974686,8138813,8156691,8282033,8301139,8408946,8432091,8718232,8866766,8881373,9080369,9223684,9456855,9505469,9562013,9577838,9731453,9808011,9928769,9948868,10010650,10087312,10434353,10463438,10686173,10909469,10915672,11034484,11104433,11271233,11326769,11348226,11404731,11520893,11659313,11858770,12012780,12280131,12377752,12389755,12567869,12759473,12813632,12841469,13107928,13168733,13557508,13576193,13592715,13711613,13837528,13881819,13916788,13924971,13969838,14116673,14230524,14415336,14498896,14680733,14721531,14746419,14867706,14948093,15567219,15798269,16022872,16062269,16083595,16217253,16311258,16525975,16561838,16690555,16941100,17007055,17137348,17448113,17589566,17699650,17707073,18025731,18044259,18068273,18145469,18203032,18444952,18607133,18951806,19170328,19290926,19300314,19831170,19913215,19967438,19976573,19980484,20001713,20028666,20136206,20146819,20329320,20377853,20408466,20464215,20478411,20641646,20750571,20801969,21041908,21130172,21153248,21174269,21239580,21421469,21495473,21544769,21566619,21596043,21684608,21717053,21825112,21828496,21859243,22060255,22084913,22183239,22353533,22450973,22572593,22655552,22742583,22870485,22887869,22936253,22960433,23298113,23315438,23510488,23729969,23797404,23843650,23895858,23897213,24210043,24254273,24395184,24403299,24553251,24557058,24561268,25132286,25384769,25487496,25571393,25624766,25709575,25788638,25850369,26266673,26310148,26449299,26472306,26862891,27159773,27164091,27182513,27444582,27590488,27766315,27838493,27860993,27973373,28130369,28229438,28308568,28309313,28447450,28494655,28612380,28658042,28673433,28781170,29174333,29196686,29525693,29569469,29786308,29831453,30038955,30185960,30519872,30545969,30851490,30984655,31017473,31039299,31081469,31145393,31187969,31204803,31227490,31284055,31433438,31442753,31506269,31514650,31592126,31759613,31847139,31885853,31969853,32032769,32041552,32196619,32346269,32843032,32908256,33122019,33319578,33521153,33641966,33919684,33959205,33987869,34032472,34126215,34136940,34189469,34193586,34229693,34270168,34334856,34490369,34537404,34579838,34650113,34780963,35027453,35037723,35244593,35629684,35714993,35773469,35909633,36046746,36122813,36200093,36223152,36401296,36411953,36412736,36415106,36515271,36699293,36704899,36815523,36832769,36948411,36984833,37021788,37148575,37181586,37472988,37540866,37649811,37737473,37817580,37827928,38011588,38016413,38053469,38286531,38431838,38550593,38553939,38584046,38626713,38787869,39005693,39384113,39430975,39887323,39947438,40077533,40130369,40183133,40270913,40338752,40427625,40507855,40579903,40663768,40706650,40716484,40751046,40775763,40793393,40940060,40951458,40964328,40970842,41376833,41461853,41597966,41711575,41726068,41732573,41795611,41842648,41883953,41984513,41986131,42045086,42068093,42234653,42342446,42352615,42515969,42556419,42680369,42876593,42925469,43122800,43255192,43402948,43450611,43458353,43602173,43625355,43820606,43935233,44123969,44195359,44195608,44285763,44435969,44536555,44544413,44578290,44593563,44610700,44775473,45004733,45072628,45126269,45171713,45277469,45381096,45622193,45726269,45746739,45865838,45903773,45995170,46084869,46124033,46240769,46533712,46630973,46716893,46776472,46816769,46927855,47038243,47072979,47234811,47317170,47352113,47453006,47518769,47550176,48106493,48128125,48227633,48390388,48513150,48542575,48609426,48662091,48666269,48823613,48847980,49128072,49275953,49306286,49314269,49593053,49687090,49720059,50028593,50038468,50053890,50153438,50248769,50308923,50430269,50471648,50715326,50764253,50823138,50928893,50998973,51053733,51080369,51282812,51414446,51495895,51747360,51949853,51960833,51982769,52021580,52091969,52104512,52124573,52350426,52435570,52623531,52730369,52936769,53008253,53052223,53069213,53077646,53087575,53313028,53339969,53390816,53443866,53493948,53532840,53764526,53778269,53825969,53892413,54080093,54131455,54218753,54227933,54311438,54486586,54490673,54606269,54676733,54893633,55122269,55188893,55194204,55197184,55263233,55269081,55271453,55369469,55400728,55409969,55585793,55591459,55633073,55668638,55742498,55765469,55857533,55880369,55978493,56126813,56144455,56207486,56313426,56392769,56511293,56579933,56654513,56780604,56852993,56926219,56981890,56993969,57025469,57049971,57101696,57198173,57204484,57252353,57324715,57405233,57490973,57541553,57558269,57657053,57664123,57678653,57753750,57758513,57836573,57929079,57971290,58167869,58199873,58215780,58251090,58267133,58293533,58339838,58408769,58421213,58441793,58445655,58485800,58502333,58529969,58537793,58587869,58617576,58618013,58641112,58662269,58705373,58708913,58767869,58801469,58813684,58827773,58863415,58921853,58957469,58977713,58998638,59036093,59060033,59125553,59149313,59219969,59234333,59273213,59327153,59345969,59402753,59411969,59434673,59440193,59444573,59447933,59455348,59462813,59463473,59466653,59470769,59478269,59488433,59488769,59490173,59490269,59624508,59770399,59784446,59831095,59891575,60064668,60224445,60305438,61062067,61126215,61380651,61488219,61604000,61625564,61795074,62096832,62110766,62134496,62239618,62325819,62329048,62342032,62343043,62425896,62741515,62875838,62922684,63002846,63038343,63383006,63591843,63623650,63705090,63751831,63792291,63802455,64239408,64396312,64547188,64568023,64957746,65201296,65264366,65361055,65690443,65796525,65944773,65971251,66613195,66751684,67197490,67357406,67373346,67601752,67950715,67952096,68055952,68317684,68378268,68515288,68673682,68789658,68929886,69047695,69304500,69565548,69730507,69766526,69858936,69901308,70120179,70134786,70182960,70229133,70241438,70339288,70474155,70636098,70731034,70808308,71022232,71148819,71797314,71805255,71869890,71931928,72269334,72355588,72445851,72581438,73034283,73157438,73253215,73261160,73351458,73799995,73898011,73924800,74751086,74792146,74861824,74946319,74976446,75048171,75096771,75172432,75289818,75704575,75786712,75788890,76051971,76348380,76446108,76562946,76592272,76661216,77079699,77142808,77282215,77330650,77837980,78045592,78140959,78433266,78591303,78592003,78611726,78714415,78853120,78955830,79131699,79397848,79416370,79632140,79682308,79900011,79923283,79935834,80423246,80522968,80636988,80664955,80923419,81323170,81402700,81438272,81488068,81540858,81694855,81892450,81987086,82418805,82784091,82857234,82984948,83165400,83316206,83486643,83752627,83921438,84173698,84219552,84413143,84421838,84568986,84632403,84700975,84710563,85017566,85260051,85411838,85510046,85661188,85957108,86166306,86243868,86714155,86734466,86785659,86945575,86972763,87801291,87823838,87903858,87913392,88036520,88063563,88131352,88389326,88559994,88620415,88709760,88913740,89061490,89322579,89860251,89981331,90061543,90327255,90430207,90588339,90845490,90946668,91406846,91493563,91524868,91584686,91618056,91756322,92129368,92284255,92465246,92738658,92796780,92972788,93246307,93261508,93405576,93430652,93561075,93843490,94435886,94442491,94457298,94623744,94746996,95020526,95128855,95274484,95299644,95558568,95701015,95847028,96168638,96349072,96501055,96547288,96654187,96767512,96797946,96806143,96901856,96971438,97072450,97288526,97542895,97557748,97587804,97681646,97683240,98033826,98105260,98117625,98270940,98902566,98983232,99041085,99147771,99540484,99615010,99798480,99843928,99929751,...,227767507103401651726878043949317295550370533474000804049955269331693935442816573500841736207950771512596497890306460630456754367282044771967310077398485291854283340613255532821200261362922815620985849090189656428404715564098532546558288291198000328580778516803296388699216779683568159821658590701543414319210338013306845217492356858887627400964659249448458328987355034192835941017136183879482116082597160225018286025393470341439230602599855690290709307861224710719401613178591360063437334604118554422952963897898334205504236197137973948591336345728164419830250996312167114546677210446027991881860789325418475656939140816325396189097180200285987789624555663034582975408714745076161972863066173642840816092635527029485404151887794546007477059135828782722247008320759076893863312347963294447454849010543430539720250980944056492871433829960275727989942682759670105948220688304516841323465826998774290656905172017766418132968067743590526473151982137081443982746625175548007806170093042866634792999368807370071345977680014764540828256992837028242658874641525927663299456025612970510566702609336157250532540687986715653763803954328658255601060811126594403080527646551421165586562701716695265710923670057427956804362235101493569654663312340454599346552027128967330536888263379273844273614451946983001435959965943481888856049261205523478472036257767078671657134657351269087519112617708561673428662898175534945166972894864528338196937546116858256552084233591361265634763407893311516234290472831602738665166418883316142554022853220698016688036404103764594810221221693037535806312544680869546061650885583929042553001550025646372896485226215710846422491409852690488644595525454288274226406276646860227393781280530324531153989370018742774733024992440656847225738332708302990251651947437541623054430801603006130071272301540621052691519994959138211958378939461929280420010212049785815262321930229202578719233241880089781485536461719518264992459155687990262679632904965624477217062619698838625580698644295657470230269950696389082255746106902227180347915768048328996260561694320429180705273357968725358621078277997224114979008725028870679005150548519776634991999693592480733209180401580044794541867710661362774683759646705306956777330121908798783939702306495886288806579198582399471944447265429937192692978394696574788418032997098036284225342502778065568596369502217420057248011124697214456384055203938563738152000611054430633125914602738661057756227164142388753787357209}
15427  1784449307464752796387142420789815821746455363894415179154820313: {15427,508629,755237,1062669,1078910,1294692,1541300,1849560,1892109,1972864,2048333,2080755,2168157,2219472,2385605,2496906,2602769,2862726,2926190,3124373,3511428,3665438,3984197,4404686,4463390,4601909,4628477,4685105,4971293,5057717,5236340,5356068,5602385,5622126,5691710,6199349,6282957,6283608,6344093,6558293,6612110,6722862,6830052,7069059,7225310,7271429,7396337,7454084,7628453,7787846,7889285,7934532,8193809,8345585,8670372,8728509,8826398,8895998,8999157,9057053,9062990,9368990,9467142,9551213,9669617,10014702,10491206,10583729,10830533,10875588,10897790,10960949,11211928,11242788,11312213,11425269,11469437,11529605,11598782,11962029,12107837,12436085,12516878,12609140,12613419,12686534,13077348,13300149,13444742,13644590,13717373,13793105,13835526,13866446,14020013,14366757,14923302,15015975,15130968,15192029,15206308,15472190,15695157,15916913,15927653,16017040,16139333,16207358,16345373,16373508,16384910,16482353,16542149,16551726,16774037,16945454,16946885,17022339,17206229,17296910,17349629,17395985,17616773,17788155,17910926,18019170,18123620,18353093,18509092,18566628,18974032,19096973,19099934,19220448,19628708,19661892,19823608,20028590,20105969,20336262,20507582,20571677,20589533,20756292,20875182,20954757,21164702,21176375,21292037,21345786,21358733,21421685,21623004,21748344,22301559,22363493,22753790,23008829,23056190,23284433,23358533,23962910,24034308,24059012,24141677,24466887,24546878,24769997,24842757,24975605,25238837,25251137,25411650,25706022,25733752,25740749,25904429,26302385,26352293,26384349,26412715,26441560,26549475,26704888,26802557,27105760,27208337,27211288,27281390,27285620,27304548,27431174,27667428,27994406,28036358,28319440,28427709,28737653,28755492,28794724,28936389,28950471,28970846,29374133,29388110,29577652,29746755,29778413,29788133,29951157,29961269,29970726,29986397,30042999,30204309,30323444,30380102,30493980,30612699,30701585,30790094,30962469,31562862,31684229,31695258,31729872,31838333,31851134,31859370,31861144,32526912,32537732,32737668,32742744,32887685,32960414,33079982,33099437,33310013,33467573,33983328,34025486,34149917,34277009,34488110,34597553,34939349,34973157,35095829,35265732,35296408,35385710,35580797,35696106,35765475,35817188,35843249,35843787,36032678,36085373,36218788,36592776,36612317,36835587,36841902,37232885,37268429,37420862,37698429,37732450,37848293,38024453,38149840,38231244,38256053,38437149,38671157,38682957,38970737,39169853,39400349,39465222,39708459,39750413,40051940,40243013,40325429,40716998,40929413,41053790,41135320,41166873,41173694,41385732,41606404,41841374,42081293,42232013,42344157,42399605,42462852,42540590,42671175,42711878,42837710,42918570,42987063,43171755,43198229,43795029,43919573,44162692,44426104,44537105,44624117,44679462,44816837,44948462,45278940,45501620,45515920,45591448,45779808,45831809,46004093,46044878,46049872,46128533,46277235,46355294,46716964,46750589,46841235,47007797,47150157,47271975,47284910,47388189,47514485,47537009,48062328,48220637,48297536,48328529,48359693,48475637,48687028,49087364,49264548,49362384,49506929,49575448,49579373,49926977,49963984,49979367,50054488,50071046,50199748,50423440,50462949,50703686,50713613,50829710,50879526,50895605,51048708,51175075,51205410,51290379,51310973,51405252,51474782,51502284,51654773,51806106,51869757,52157585,52303310,52365653,52518317,52564238,53444526,53903500,54068990,54070119,54253685,54334728,54355157,54367684,54508337,54518813,54537917,54549278,54601944,54619104,54622659,55089893,55222493,55244510,55532682,55666949,55763375,55772379,55981508,56209482,56243093,56311299,56340785,56346773,56698094,56726370,56741892,57017382,57051134,57134993,57138509,57573917,57595889,57647757,57876069,57934148,58007246,58167140,58258757,58470590,58487942,59047684,59128862,59151533,59437720,59458084,59548958,59568494,59921157,59950877,60114053,60292037,60487985,60508128,60657806,60804353,60995652,61059975,61074726,61126569,61410090,61427187,61445969,61446492,61456263,61509029,61546877,62144453,62205734,62396949,62527013,62548085,62589102,62691422,62763972,62940437,62979748,63067629,63089560,63513669,63762077,63873137,64103515,64684200,64804973,64812568,64882788,64902149,65026975,65104422,65130640,65504096,65730909,65775878,65950478,66052337,66293412,66313373,66628526,66641285,66738520,66867435,66916050,66926414,67018238,67078564,67499957,67608942,67732358,67764184,68043758,68071644,68272913,68289893,68798757,68992755,68996480,69114929,69250910,69392273,69473117,69745373,69800568,69869582,70164708,70289477,70457597,70894382,70975755,71132318,71179509,71258488,71262029,71325264,71364029,71377120,71505605,71720837,72161294,72486662,72585582,72729773,72769725,72914139,73107250,73271970,73301390,73517105,73592272,73668053,73692108,73716782,73731629,73955957,73959429,73960373,74201789,74319185,74530635,74768717,74839349,75057702,75080835,75084568,75230157,75707472,75843878,76066628,76072989,76234707,76924218,76972349,77005000,77031955,77114933,77121669,77238772,77302094,77375429,77502737,77621040,77668120,77911310,77927540,77940413,78032370,78156768,78233333,78262769,78525639,78539057,78653355,79014734,79453613,79472222,79490414,79499344,79616469,79634453,79874033,79969542,79974653,80086224,80165799,80240922,80299260,80447246,80495390,80613197,80646789,80683985,81467157,81501620,81729879,81840868,81984292,82393432,82791306,82795776,82938833,83101092,83234528,83364389,83439605,83502957,83613747,83896912,83949749,84023633,84051124,84305438,84311229,84439133,84470139,84478877,84502190,84671573,84789124,84940120,84955397,84959174,85056388,85069940,85170906,85397105,85472835,85644110,85652544,85688693,85806726,86062142,86072174,86353217,86538398,86610328,86630625,86956935,87323670,87363437,87376635,87395933,87509757,87555293,87713429,87728700,87924110,87926364,87938837,87961668,88084133,88220526,88488497,88497957,88510385,88777790,88859537,89152286,89183022,89279477,89356913,89436762,89466773,89676669,89831128,89853197,89914910,89990069,90097002,90235397,90346673,90444485,90458157,90743237,90893093,91060973,91171024,91253239,91576450,91719544,91834037,92023046,92244878,92406000,92438346,92526989,92692611,92754064,92820293,92929253,93145248,93166149,93201744,93359427,93493572,93513048,93577280,93638844,93706958,93965540,94095134,94181464,94205606,94285022,94313757,94384026,94504269,94733390,94819253,94865092,94883534,95074509,95253509,95293829,95373173,95435475,95557635,95729752,95740340,95767502,95826520,95897429,96359112,96428510,96532478,96594468,96644414,96820782,96844733,97297475,97379044,97404017,97436619,97469966,97556990,97591622,97749638,97801944,97896549,98130629,98209853,98422589,98566400,98819198,98907869,98940686,99194237,99247310,99297173,99340997,99540175,99569453,99595493,99602885,...,303690009471202202302504058599089727400494044632001072066607025775591913923755431334455648277267695350128663853741947507275672489709393029289746769864647055805711120817674043761600348483897087494647798786919541904539620752131376728744384388264000438107704689071061851598955706244757546428878120935391219092280450684409126956656475811850169867952878999264611105316473378923781254689514911839309488110129546966691048033857960455252307470133140920387612410481632947625868817571455146751249779472158072563937285197197778940672314929517298598121781794304219226440334661749556152728902947261370655842481052433891300875918854421767194918796240267047983719499407550712777300544952993434882630484088231523787754790180702705980538869183726061343302745514438376962996011094345435858484416463951059263273132014057907386293667974592075323828578439947034303986590243679560141264294251072689121764621102665032387542540229357021890843957423658120701964202642849441925310328833567397343741560124057155513057332491743160095127970240019686054437675990449370990211832855367903551065941367483960680755603479114876334043387583982287538351738605771544340801414414835459204107370195401894887448750268955593687614564893409903942405816313468658092872884416453939465795402702838623107382517684505698459031485935929310668581279954591309185141399014940697971296048343689438228876179543135025450025483490278082231238217197567379926889297193152704450929250061489144342069445644788481687513017877191082021645720630442136984886888558511088190072030470960930688917381872138352793080294962257383381075083392907826061415534514111905390070668733367528497195313634954281128563321879803587318192794033939051032301875035529146969858375040707099374871985826691657032977366656587542462967651110277737320335535929916722164072574402137341506761696402054161403588693326612184282611171919282572373893346949399714420349762573638936771625644322506786375314048615626024353323278874250653683572843873287499302956083492931784834107598192394209960307026600928518776340994809202969573797221024064438661680748925760572240940364477291633811494771037329632153305344966705160905340200731359702179989332924789974310945573868773393059389156947548483699578346195607075942369773495878398378586269741994515051742105598109865962592596353906582923590637859595433051224043996130715045633790003704087424795159336289893409664014832929619275178740271918084984202667481405907510834552803651548077008302885523185005049809612}
15428  1792410456252088522663490427185168771606068098652926258725073895: {400738,569467,678172,1029187,1212571,1322938,1416892,1487107,1618365,1629538,1669771,1726256,1926625,1942038,2058106,2125171,2306827,2311950,2397547,2466080,2522812,2774340,2890876,2959296,2973826,3210787,3278266,3329208,3460738,3480571,3660067,3745359,3816968,3885946,4189186,4249786,4294089,4389285,4552546,4642147,4681904,4794466,4975738,5085667,5096506,5267142,5498157,5527387,5879938,5967307,6060346,6545425,6607029,6695085,6900346,7079938,7141424,7259386,7449571,7496168,7854510,8034102,8053867,8377276,8378144,8392546,8433189,8537565,8569027,8911027,8963816,8996347,9106736,9317605,9336907,9425412,9760987,9810437,9918165,10084293,10183267,10245078,10523746,10579376,10641538,10837965,11181126,11229538,11560496,11638012,11681769,11901798,11998876,12283906,12622856,12761227,13005558,13239597,13274938,13343997,13352936,13594485,13681666,13983787,14014910,14053485,14200713,14307067,14319226,14387707,14500784,14548771,14550586,14709547,14950171,14990384,15012538,15022053,15233692,15588667,15736809,15761425,15949372,16277626,16313382,16346685,16564066,16602278,16817892,16864182,17345657,17398173,17436464,17476507,17733532,17762746,18096571,18160738,18447368,18635347,18775317,18913710,19007885,19010938,19029801,19124026,19155676,19462906,19616022,19626571,19857538,19897736,20004571,20021300,20167113,20174624,20466885,20753289,20799669,20868706,20926876,21372346,21498571,21818938,21831344,22068968,22088107,22208866,22381147,22384953,22517033,22542466,22653538,22654525,22696452,22809462,22963771,23041786,23136365,23208285,23318626,23325571,23366777,23717540,23809877,23829067,23900707,24025560,24043771,24311037,24535885,24542227,24560262,24577365,24755504,24779510,24827589,24896107,25135738,25248187,25418181,25518946,25627264,25682938,25945365,26215856,26293627,26337466,26707267,26866389,26981587,27028755,27049987,27115016,27152386,27185430,27186571,27423226,27675056,27763638,27833576,27849942,27865171,27878501,27939676,28233346,28335907,28402867,28461048,28611869,28649901,28669987,28830672,28869571,28997792,29361466,29443062,29492838,29661427,29735412,29857771,29896186,29988307,30042885,30073765,30504393,30761373,30884357,31134438,31312773,31596538,31747053,32018679,32045744,32124538,32167190,32434506,32538547,32622516,32725171,33051950,33123676,33381110,33831307,33882200,34014110,34073947,34107025,34130685,34255171,34274696,34435747,34584285,34675507,34896226,35179132,35269867,35399300,35414146,35857027,35944365,35993405,36051462,36088518,36136546,36205867,36290938,36406064,36494587,36820317,36889904,36972065,37009747,37214266,37462771,37631467,37743571,37903612,37904305,38117475,38340656,38559033,38581852,38600628,38872841,39012067,39282787,39662340,39765547,39826430,39892517,39934876,39953146,39960968,40003426,40057332,40189771,40272412,40293638,40295107,40658640,40672165,40755706,40816932,40817467,40922085,40928430,40956822,41146761,41283292,41383747,41485771,41501142,41603938,41991609,42054537,42083816,42091867,42260344,42306496,42348538,42479160,42638347,42810889,42842938,42990946,43089538,43133238,43192086,43369216,43369507,43378517,43434106,43456269,43465771,43609627,43650224,43656992,43705171,43718486,43797677,44082165,44120510,44169826,44366478,44707066,44771485,44783227,44901946,44956089,45145186,45194707,45273485,45311104,45485166,45570153,45740970,45775738,45872506,45920866,46185141,46437571,46524187,46596226,46630876,46653571,46995427,47020976,47344293,47374507,47459938,47542887,47594808,47687300,47776701,47789055,47791716,47794426,47829907,48236347,48420086,48508546,48790368,48793267,48806598,48902557,49106502,49114116,49122536,49297771,49394813,49440621,49564387,49602187,49619973,49752667,49790107,50050171,50064925,50160547,50264572,50769538,50950171,50974992,51020227,51038229,51142786,51194107,51249532,51366187,51419150,51577276,51700738,51732165,51871627,51970771,52008005,52134571,52456771,52533346,52620296,52709347,52898598,52944612,53078565,53544159,53725782,53957893,54049017,54238771,54319546,54328182,54365026,54510571,54696547,54722827,54853147,54889164,54904771,55180976,55203365,55208467,55233307,55262853,55282771,55405171,55532630,55644571,55676986,55721986,55761571,55945027,55946746,56131293,56145907,56260738,56458876,56591947,56598675,56617136,56618626,56693467,56710997,56832571,56871667,56877025,56894900,56989310,57062827,57224760,57300571,57316084,57346866,57353707,57423547,57440827,57509227,57562340,57609667,57675187,57723571,57833947,57849427,58280347,58348666,58393372,58396205,58459267,58495771,58635307,58722571,58854547,58938787,58947787,58991707,59050171,59051386,59138938,59197771,59197833,59248747,59260771,59278267,59293661,59386771,59413987,59417587,59449627,59478571,59482387,59500171,59503771,59505067,59572616,59662906,60077910,60371920,60858785,61039744,61075497,61091938,61359205,61580685,61702980,61760541,61969310,62034946,62078598,62162938,62290786,62351177,62375938,62409606,62454980,62568110,62749685,62762061,62866876,62885506,63012538,63029300,63184252,63519226,63694278,63771706,63810885,63939706,64065538,64067817,64083104,64256565,64377855,64393238,64692538,65686064,65698997,65816512,66136477,66244038,66639156,67019193,67042306,67283932,67379375,67422693,67839368,67918410,67959605,67975738,68064944,68148509,68252430,68273880,68378938,68387172,68459386,68540336,68669712,68980738,69067317,69074808,69159676,69300226,69532941,69561926,69976885,70054906,70075446,70489186,70927365,71259368,71429986,71546938,71819266,72093492,72094253,72164261,72245626,72400186,72417685,72446304,72708925,72802592,72823906,72825472,72830212,73030542,73398586,73409798,73631046,73665538,73809605,73896822,73969666,74043576,74297150,74322605,74363172,74945976,75081732,75106569,75299622,75343073,75474946,75547201,75635160,75655856,75784037,76023176,76032826,76055529,76106938,76244565,76319289,76573062,76808115,76863676,77101186,77107878,77168092,77212173,77253426,77575738,77709159,78011386,78454965,78602237,78724685,78768226,78846357,78861950,79774646,79894876,80155066,80166789,80254601,80260738,80366266,80541826,80677504,80855250,81015710,81103485,81159806,81327536,81413300,81432968,81502092,81551526,81586786,81823917,81880120,81902916,81928656,81941684,82408781,82753666,82866765,82923706,83195932,83299023,83423150,83452136,83465146,83591222,83685296,83763533,83767906,83848205,83969026,83972262,84090172,84136186,84314223,84469306,84684892,84705230,85031938,85047141,85089555,85112838,85360738,85526073,85576701,85753186,85850938,86245600,86510384,86805896,86901222,86916706,87010869,87204346,87250710,87334013,87346633,87641212,87705885,87731913,87838121,87870466,88247938,88390718,88391216,88571526,88693293,88871938,89073110,89088826,89156580,89187126,89221400,89323437,89352741,89550946,90009466,90145256,90252538,90343426,90554938,90762192,90986709,91244386,91452538,91493478,91505477,91612089,91731676,91807546,91990340,92115135,92169738,92248066,92481538,93067424,93258473,93261946,93308601,93433786,93552944,93633538,93855710,93883653,94037133,94076486,94145958,94344101,94454789,94469622,94634340,94704226,94906012,95037538,95083285,95100352,95131001,96212986,96256250,96455266,96548465,96666773,96780776,97026300,97085150,97218852,97324182,97332538,97409425,97647226,97656633,97695960,98256144,98551906,98612572,98628538,98663817,98925717,99186106,99374180,99440118,99942789,...,455535014206803303453756087898634591100741066948001608099910538663387870885633147001683472415901543025192995780612921260913508734564089543934620154796970583708566681226511065642400522725845631241971698180379312856809431128197065093116576582396000657161557033606592777398433559367136319643317181403086828638420676026613690434984713717775254801929318498896916657974710068385671882034272367758964232165194320450036572050786940682878461205199711380581418615722449421438803226357182720126874669208237108845905927795796668411008472394275947897182672691456328839660501992624334229093354420892055983763721578650836951313878281632650792378194360400571975579249111326069165950817429490152323945726132347285681632185271054058970808303775589092014954118271657565444494016641518153787726624695926588894909698021086861079440501961888112985742867659920551455979885365519340211896441376609033682646931653997548581313810344035532836265936135487181052946303964274162887965493250351096015612340186085733269585998737614740142691955360029529081656513985674056485317749283051855326598912051225941021133405218672314501065081375973431307527607908657316511202121622253188806161055293102842331173125403433390531421847340114855913608724470202987139309326624680909198693104054257934661073776526758547688547228903893966002871919931886963777712098522411046956944072515534157343314269314702538175038225235417123346857325796351069890333945789729056676393875092233716513104168467182722531269526815786623032468580945663205477330332837766632285108045706441396033376072808207529189620442443386075071612625089361739092123301771167858085106003100051292745792970452431421692844982819705380977289191050908576548452812553293720454787562561060649062307978740037485549466049984881313694451476665416605980503303894875083246108861603206012260142544603081242105383039989918276423916757878923858560840020424099571630524643860458405157438466483760179562971072923439036529984918311375980525359265809931248954434125239397677251161397288591314940460539901392778164511492213804454360695831536096657992521123388640858361410546715937450717242156555994448229958017450057741358010301097039553269983999387184961466418360803160089589083735421322725549367519293410613913554660243817597567879404612991772577613158397164798943888894530859874385385956789393149576836065994196072568450685005556131137192739004434840114496022249394428912768110407877127476304001222108861266251829205477322115512454328284777507574714418}
15429  1800406841299887998219585924276342193842379939099832468009865475: {30854,601107,847715,1017258,1510474,1771115,1984407,2125338,2157820,2444307,2589384,2879987,2913057,3082600,3087159,3153515,3339847,3467925,3613595,3699120,3784218,3945728,4096666,4161510,4336314,4438944,4460739,4771210,4917399,4993812,5191107,5205538,5556151,5725452,5828919,5852380,6248746,6283779,6374679,6559147,6828819,6935027,7022856,7191699,7330876,7463607,7583819,7644759,7843339,7900713,7968394,8137607,8593507,8809372,8819907,8926780,9090519,9203818,9256954,9370210,9942586,9967991,10115434,10256459,10350519,10471595,10472680,10619907,10712136,10807219,10889079,11044999,11204770,11244252,11383420,11683819,11781765,12051153,12398698,12565914,12567216,12588819,12688186,13116586,13224220,13368979,13445724,13660104,13838459,14138118,14450620,14542858,14547515,14792674,14908168,14998595,15007091,15256906,15367617,15575692,15778570,15785619,15869064,15962307,16141447,16387618,16603079,16691170,16771689,16844307,17340744,17410519,17457018,17619067,17652796,17789491,17791996,17852697,17998314,18114106,18125980,18261851,18425859,18737980,18934284,19042115,19102426,19310347,19317259,19339234,19508337,19912407,19936715,20029404,20504107,20522499,20982412,21022365,21167458,21478839,21629219,21661066,21690019,21751176,21795580,21825879,21921898,22028567,22166915,22423856,22485576,22518807,22624426,22850538,22938874,23011831,23059210,23197564,23725639,23924058,23944595,24215674,24354379,24416439,24420259,24470073,24846099,24872170,24903417,25025891,25026625,25033756,25218280,25226838,25242139,25296273,25373068,26154696,26158595,26600298,26644119,26889484,27241107,27289180,27434746,27586210,27605539,27671052,27732892,28040026,28221859,28370565,28516407,28686039,28733514,29194359,29389379,29424033,29646925,29786307,29846604,29955799,29990359,30031950,30261936,30384058,30412616,30944380,31143619,31303059,31390314,31562411,31833826,31842487,31855306,31991927,32034080,32058519,32278666,32414716,32690746,32728407,32747016,32769820,32964706,33084298,33103452,33313299,33548074,33813699,33890908,33893770,33980307,34044678,34214193,34412458,34562679,34593820,34602067,34699258,34791970,34924595,34965847,34977939,35233546,35576310,35821852,36038340,36247240,36706186,36823339,36840393,36977801,37018184,37080851,37133256,37169265,37516231,37650839,37703607,37948064,38184539,38193946,38199868,38278419,38440896,38524407,38661179,39257416,39323784,39366379,39506199,39647216,40057180,40211938,40330711,40672524,40728579,40778145,41015164,41134839,41143354,41179066,41376619,41404595,41512584,41645457,41750364,41774913,41909514,42329404,42350019,42352750,42584074,42691572,42717466,42843370,42860147,42982219,43246008,43496688,43778071,43973915,44042199,44044507,44134039,44164593,44239257,44249125,44603118,44726986,44759899,44810771,44825891,44844279,45211699,45507580,46017658,46042759,46112380,46354019,46568866,46701657,46717066,46788467,47379515,47394807,47925820,48067507,48068616,48112619,48118024,48186807,48227315,48250785,48283354,48651759,48933774,49093756,49539994,49577925,49685514,49918595,49951210,50071665,50095499,50340515,50477674,50502274,50823300,51021165,51412044,51467504,51481498,51604115,51661531,51681047,51808858,51997879,52126039,52344339,52604770,52657187,52704586,52768698,52825430,52883120,53098950,53121219,53409776,53605114,54077193,54132777,54204819,54211520,54416674,54422576,54436407,54515539,54562780,54571240,54609096,54862348,55334856,55800739,55821399,55826051,55988812,56072716,56638880,56855418,56957347,57475306,57510984,57589448,57872778,57900942,57941692,58006931,58266379,58288595,58748266,58776220,59155304,59359447,59493510,59556826,59576266,59609125,59681399,59739645,59902314,59922538,59929719,59941452,59972794,60005139,60085998,60121927,60408618,60440457,60612107,60639899,60646888,60760204,60932791,60987960,61133559,61225398,61392645,61403170,61435233,61580188,61647899,61924938,62251713,62351947,62405907,62689559,62830715,63125724,63303467,63368458,63390516,63459744,63522807,63676666,63702268,63718740,63722288,63770419,64061915,64087511,64264407,64347319,64471595,64486419,64634307,64691987,64699857,64788129,65053824,65075464,65151159,65475336,65485488,65577729,65751031,65775370,65920828,66159964,66180765,66198874,66239987,66254739,66520279,66549717,66620026,66935146,67060599,67352919,67717779,67731179,67966656,68050972,68227749,68299834,68554018,68611455,68663607,68808759,68881299,68976220,69195106,69878698,69894339,69946314,70191658,70531464,70573595,70592816,70771420,71118625,71161594,71189907,71253847,71392212,71530950,71603299,71634376,71645105,71686498,71687574,71691639,71952925,72065356,72108779,72170746,72280787,72437576,72630129,72762819,72991715,73020619,73185552,73209897,73224634,73659753,73671174,73677691,73683804,73773419,73931891,74177947,74465770,74536858,74778499,74841724,74860439,75396858,75464900,75696586,75846947,75955159,76048906,76154307,76299680,76393859,76462488,76512106,76714179,76803287,76874298,77061767,77128725,77342314,77365914,77551107,77941474,77950711,78068725,78339706,78583595,78713591,78786625,78800019,78800698,78877099,78930444,78980315,79347897,79416918,79500826,79838987,80103880,80486026,80588673,80650858,81093659,81312107,81433996,81479319,81492273,81547539,81858826,82107580,82270640,82333746,82347388,82771464,83212808,83298945,83329399,83515479,83582979,83682748,83920119,84104915,84162586,84339307,84391107,84464026,84683179,84688314,84799210,84925704,84927939,85081180,85151467,85342350,85374707,85382587,85423756,85483965,85675420,85837140,85974126,86020299,86343510,86396458,86449595,86590499,87522999,87567319,87590058,87839146,88102459,88325384,88577079,88708407,88852208,89074210,89248234,89358924,89494359,89545739,89633674,89744921,89896924,90116865,90358507,90557880,90987971,91003240,91031840,91037765,91182896,91410107,91559616,91637907,91663618,91868459,92008186,92089756,92099744,92257066,92554470,92710588,92953965,93052419,93117897,93244407,93297799,93433928,93436179,93501178,93563907,93614409,93652619,93682470,93762631,93852165,94015594,94300314,94328259,94515499,94518807,94543950,94569820,94776378,95028970,95074018,95278839,95306311,95541417,95657559,95763767,95909559,96079595,96098307,96124656,96355319,96441274,96460115,96484811,96512419,96589857,96595072,96657058,96719386,96951274,97038807,97374056,98174728,98529096,98724768,99013858,99150896,99158746,99338167,99366057,99853954,99868595,99869491,99883859,99927968,99958734,...,683302521310204955180634131847951886651111600422002412149865807995081806328449720502525208623852314537789493670919381891370263101846134315901930232195455875562850021839766598463600784088768446862957547270568969285214146692295597639674864873594000985742335550409889166097650339050704479464975772104630242957631014039920535652477070576662882202893977748345374986962065102578507823051408551638446348247791480675054858076180411024317691807799567070872127923583674132158204839535774080190312003812355663268858891693695002616512708591413921845774009037184493259490752988936501343640031631338083975645582367976255426970817422448976188567291540600857963368873666989103748926226144235228485918589198520928522448277906581088456212455663383638022431177407486348166741024962277230681589937043889883342364547031630291619160752942832169478614301489880827183969828048279010317844662064913550523970397480996322871970715516053299254398904203230771579419455946411244331948239875526644023418510279128599904378998106422110214037933040044293622484770978511084727976623924577782989898368076838911531700107828008471751597622063960146961291411862985974766803182433379783209241582939654263496759688105150085797132771010172283870413086705304480708963989937021363798039656081386901991610664790137821532820843355840949004307879897830445666568147783616570435416108773301236014971403972053807262557337853125685020285988694526604835500918684593585014590812638350574769656252700774083796904290223679934548702871418494808215995499256649948427662068559662094050064109212311293784430663665079112607418937634042608638184952656751787127659004650076939118689455678647132539267474229558071465933786576362864822679218829940580682181343841590973593461968110056228324199074977321970541677214998124908970754955842312624869163292404809018390213816904621863158074559984877414635875136818385787841260030636149357445786965790687607736157699725640269344456609385158554794977377467063970788038898714896873431651187859096515876742095932886972410690809852089167246767238320706681541043747304144986988781685082961287542115820073906176075863234833991672344937026175086612037015451645559329904975999080777442199627541204740134383625603131984088324051278940115920870331990365726396351819106919487658866419737595747198415833341796289811578078935184089724365254098991294108852676027508334196705789108506652260171744033374091643369152165611815691214456001833163291899377743808215983173268681492427166261362071627}
15430  1808438617326785950583177116757760206853509043558277676364693421: {46281,262021,446629,723001,801476,814981,1090489,1138934,1356344,1525887,1548229,2004169,2058374,2265711,2425142,2548921,2645876,2697275,2833784,2974214,3000901,3188007,3236730,3259076,3339542,3452512,3853250,3884076,3899461,4078309,4116212,4250342,4256869,4435141,4613654,4623900,4795094,4932160,5045624,5233801,5322181,5548680,5676327,5781752,5918592,5947652,6144999,6242265,6421574,6504471,6556532,6658416,6900709,6921476,6961142,7156815,7161529,7315475,7320134,7335049,7490718,7633936,7771892,7808307,8370121,8378372,8499572,8588178,8712841,8778570,8883769,9105092,9139621,9163595,9284294,9363808,9373119,9564601,9588932,9734089,9951476,9987781,10072201,10171334,10193012,10534284,10996314,11011715,11054774,11158475,11163109,11329861,11662501,11759876,11828389,11934614,11952591,12120692,12241849,12817669,12899641,13044647,13090850,13214058,13226809,13390170,13634149,13800692,13805727,13885431,14055315,14159876,14201401,14229275,14282848,14518772,14684809,14899142,14913879,14992336,15173151,15245509,15709020,15802681,15881989,16068204,16107734,16530275,16754552,16756288,16785092,16807155,16828069,16866378,16906441,17075130,17138054,17375161,17822054,17927632,17992694,18063275,18073381,18213472,18598047,18635210,18673814,18848871,18850824,19032279,19300261,19469615,19521974,19620874,19674879,19836330,20057701,20168586,20366534,20490156,20882569,21047492,21158752,21180361,21207177,21283076,21550981,21675930,21772489,21814287,22065995,22140229,22189011,22239995,22362252,22459076,22657475,22885359,22942921,23120992,23276024,23363538,23422475,23449189,23593189,23667855,23736901,23803596,23997752,24567812,24581427,24664009,25036755,25245712,25438981,25522454,25788361,26011116,26066569,26185527,26228015,26479194,26549876,26550661,26611039,26619529,26687994,26705872,26997471,27171159,27188970,27244475,27363332,27576121,27967574,27981769,28029820,28106970,28401426,28614134,28638452,28653639,28775414,28996955,29001568,29008851,29097542,29101172,29249221,29419094,29578441,29840521,29900342,29980768,30025076,30044106,30296389,30467384,31069669,31177334,31197541,31292195,31473618,31515961,31522850,31659287,31716335,31751187,31769401,31898744,32084581,32390911,32491599,32555252,32626764,32647369,32693370,32882847,33128132,33204556,33449989,33572389,33611855,33635784,33728364,33814027,33936639,34111475,34240441,34275807,34350239,34408311,34588815,34666115,34691314,34780549,34796346,34872928,34953014,35137381,35255749,35467064,35525492,35550409,35886087,35959909,36193142,36321476,36323511,36365881,36596281,36711049,36882661,36894736,37270694,37308255,37550634,37827420,37840257,38015770,38021876,38059602,38065801,38248052,38311352,38680475,38836921,38925812,39054649,39163081,39232044,39253142,39715076,39795472,39900447,40009142,40042600,40231561,40284229,40334226,40349248,40518395,40546489,40806949,40933770,40962275,41152119,41322469,41379315,41424709,41506578,41599338,41679049,41737412,41853752,41981881,42032101,42060039,42103271,42363635,42727621,42744692,42776761,42997142,43100271,43242275,43637876,43662688,44137936,44170501,44176214,44417732,44451301,44590729,44762294,44769906,44777315,44821669,45034066,45047925,45050809,45084932,45307076,45309050,45323401,45392904,45576087,45618924,45771961,45860809,45927542,46083572,46272730,46300729,46416570,46637252,46651142,46733554,46861861,47085471,47285221,47435080,47535781,47577289,47619754,47658134,47660089,47749835,47750739,47782959,47801414,48051120,48087542,48110341,48352261,48417999,48622074,48867529,48906661,49036119,49062469,49071770,49084454,49120524,49139941,49154730,49447059,49485001,49511008,49559020,49626447,49655178,49711801,49792214,50071475,50120869,50271476,50322111,50376649,50390767,50496374,50557189,50594687,50836362,50840655,51018169,51037892,51067017,51122821,51254528,51268955,51365876,51432889,51618687,51760891,51770569,51837241,51890730,51969721,52002661,52048887,52166281,52187955,52360249,52431712,52587254,52614841,52674932,52677769,52850319,52911755,53049289,53066027,53364465,53380741,53414534,53499109,53587129,53674501,53732778,53932729,53963174,54057510,54099974,54129541,54230032,54304772,54370860,54373142,54619429,54645961,54655799,54846452,54933061,55009849,55059279,55211449,55350112,55505209,55527276,55624549,55667152,55699884,55730342,55757002,55857829,55879352,55880761,56016841,56150329,56216101,56367049,56466692,56617609,56671814,56758981,56805734,56877349,56884475,56922096,56941031,57143461,57223738,57235081,57289189,57290919,57299802,57339974,57395461,57430309,57640475,57661344,57679127,57739142,57762949,57793931,57995584,58194121,58207909,58235269,58275769,58468549,58564741,58611109,58689481,58722932,58743301,58785061,58884421,58886124,58985401,58985676,59011429,59069641,59242441,59248741,59267209,59322854,59334601,59354761,59387269,59466469,59470824,59484361,59486629,59493001,59502181,59505349,59509561,59519461,59521081,59715542,59792372,59907275,59976614,60085770,60147530,60317907,61008786,61367195,61522746,61715031,61768599,61768714,62268876,62625546,62680079,62864271,63193076,63382879,63494106,63529125,63768419,63876111,64037358,64076199,64091488,64249076,64265055,64334380,64869012,65077094,65245032,65450342,66103900,66247352,66762220,66904677,67090479,67662614,67764400,68028220,68147894,68203475,68214050,68261370,68510342,68549392,68577935,68871494,69026487,69168570,69351014,69792452,69853299,69986015,70075599,70090895,70358264,70539734,70798600,70828292,71714054,71888730,71986810,72102924,72177036,72273092,72411734,72425031,72427115,72581876,72811207,72812128,72989174,73400661,73470275,73640634,73779808,73917239,73944130,74019494,74309991,74428532,74528271,74925542,74926815,75262934,75487142,75716511,75753411,75807224,75808610,75950255,76234950,76681312,76975235,77118066,77163704,77201256,77222247,77284711,77713287,77745682,78024134,78161291,78565574,78907155,79056879,79153047,79238145,79324680,79531094,79627835,79648425,79652860,79785034,79869752,79906292,79921936,80006852,80114664,80379542,80407671,80539147,80544824,80587276,80590214,81317280,81344330,81511412,81625011,81633864,81634934,81754687,81844170,81856860,81913644,82293522,82401035,82566584,82699955,82767494,82971542,83002284,83207876,83367779,83983218,84109074,84167632,84183734,84435107,84520688,84612992,84697076,84958320,85063715,85202299,85276694,85283127,85621778,85685876,85902887,85981892,86179076,86212959,86220275,86266476,86384172,86738432,86739014,86757034,86809167,86851413,86868212,86912538,86931542,87219254,87300448,87313984,87358007,87410342,87436972,87595354,87849559,88122399,88164330,88241020,88339652,88464275,88732956,89240265,89335239,89364399,89414132,89455487,89542970,89566454,89803892,89853471,89883807,89912178,89959191,90081695,90128997,90290372,90389414,90546970,90612927,90622208,90970332,91140306,91481940,91551476,91745012,91838097,91841732,92104755,92370282,92875142,92887407,93048374,93192452,93261752,93307142,93552155,93990854,94041952,94331125,94688586,94749014,94919876,95052687,95085774,95143447,95189616,95374600,95514999,95553402,95578110,95583432,95588852,95659814,96472694,96840172,97017092,97580736,97586534,97613196,97805114,97967639,98213004,98228232,98245072,98595542,98663055,98789626,98881242,99128774,99204374,99239946,99298311,99505334,99580214,99930039,...,911070028413606606907512175797269182201482133896003216199821077326775741771266294003366944831803086050385991561225842521827017469128179087869240309593941167417133362453022131284801045451691262483943396360758625713618862256394130186233153164792001314323114067213185554796867118734272639286634362806173657276841352053227380869969427435550509603858636997793833315949420136771343764068544735517928464330388640900073144101573881365756922410399422761162837231444898842877606452714365440253749338416474217691811855591593336822016944788551895794365345382912657679321003985248668458186708841784111967527443157301673902627756563265301584756388720801143951158498222652138331901634858980304647891452264694571363264370542108117941616607551178184029908236543315130888988033283036307575453249391853177789819396042173722158881003923776225971485735319841102911959770731038680423792882753218067365293863307995097162627620688071065672531872270974362105892607928548325775930986500702192031224680372171466539171997475229480285383910720059058163313027971348112970635498566103710653197824102451882042266810437344629002130162751946862615055215817314633022404243244506377612322110586205684662346250806866781062843694680229711827217448940405974278618653249361818397386208108515869322147553053517095377094457807787932005743839863773927555424197044822093913888145031068314686628538629405076350076450470834246693714651592702139780667891579458113352787750184467433026208336934365445062539053631573246064937161891326410954660665675533264570216091412882792066752145616415058379240884886772150143225250178723478184246603542335716170212006200102585491585940904862843385689965639410761954578382101817153096905625106587440909575125122121298124615957480074971098932099969762627388902953330833211961006607789750166492217723206412024520285089206162484210766079979836552847833515757847717121680040848199143261049287720916810314876932967520359125942145846878073059969836622751961050718531619862497908868250478795354502322794577182629880921079802785556329022984427608908721391663072193315985042246777281716722821093431874901434484313111988896459916034900115482716020602194079106539967998774369922932836721606320179178167470842645451098735038586821227827109320487635195135758809225983545155226316794329597887777789061719748770771913578786299153672131988392145136901370011112262274385478008869680228992044498788857825536220815754254952608002444217722532503658410954644231024908656569555015149428836}
15431  1816505939725371573985928508760841675321166880947174413706528167: {61708,1001845,1186801,1202214,1695430,1708401,2034516,2479561,3020948,3087561,3218809,3307345,3403621,3542230,3637713,3968814,4073845,4250676,4315640,4414921,4461321,4855095,4888614,4909729,5009313,5059033,5145265,5178768,5759974,5779875,5826114,6017881,6165200,6174318,6260881,6307030,6375513,6679694,6920481,6935850,7192641,7227190,7273321,7398240,7434565,7568436,7891456,7947841,8106841,8193332,8195665,8195941,8323020,8476033,8651845,8672628,8877888,8921478,9542420,9632361,9672133,9714865,9834798,9969289,9987624,10305889,10382214,10411076,10441713,10472965,10624465,10714981,10963801,10980201,11112302,11236077,11381365,11450904,11657838,11704760,11780353,11986165,11987569,12439345,12497492,12567558,12741265,12749358,12882267,12928693,13118294,13167855,13657638,13840261,13870054,13926441,14045712,14383398,14660233,14661752,14699845,14927214,15009049,15150865,15167638,15257001,15289518,15466513,15686678,15801426,15936788,16275214,16494471,16582161,16605241,17019409,17187014,17250865,17618744,17639814,17699845,17735653,17853560,17901921,18023401,18148465,18181038,18264229,18407636,18513908,18740420,19026601,19152673,19521289,19636275,19821087,19885172,19935982,20085255,20230868,20366521,20512918,20701038,20828593,20943190,20945360,20981365,20998033,21239814,21424272,21614438,21632041,21778158,22031449,22089998,22348713,22409540,22488504,22766840,23367638,23563530,23591413,24102306,24161601,24173833,24797396,25029169,25131828,25134432,25177638,25299567,25361809,25376372,25612695,25707081,25801669,26033761,26233172,26292421,26309365,26359201,26448440,26603845,26658961,26733081,26737958,26891448,26989041,27320208,27676918,27843433,27852793,27911401,27952815,28010721,28073845,28276236,28901240,29085716,29095030,29282961,29431311,29576053,29585348,29754495,29816336,29997190,30009529,30014182,30252879,30513812,30549801,30709765,30735234,31033681,31151384,31357993,31557140,31566529,31571238,31738128,31924614,32282894,32326921,32451493,32513895,32775236,32846953,33004633,33187345,33206158,33382340,33522433,33543378,33688614,33739129,34204165,34681488,34821038,34914036,35037275,35045307,35238134,35305592,35558161,35578982,35580133,35583992,35705394,35798065,35996628,36228212,36251960,36376465,36523702,36622033,36851718,36872833,37085689,37475960,37531345,37808641,37868568,37936921,38084230,38189521,38204852,38283681,38337829,38354593,38620694,38634518,38678468,38889673,38924281,39016674,39180121,39522853,39718791,39824814,39873430,40031991,40058808,40694065,40783455,41008214,41044998,41410165,41505695,41951361,41964824,42044730,42160455,42334916,42602139,42921201,42957678,43163121,43209553,43258438,43322132,43380038,43502352,43591160,43646313,43651758,43843796,44057134,44128641,44333830,44406865,44593609,44823781,44847712,44850513,44971152,45037614,45066159,45159169,45248852,45401845,45698113,45701076,45877748,46023662,46029601,46118420,46395128,46766001,46794649,46871941,47121481,47210427,47284275,47451278,47527345,47810065,47848116,47889190,47901169,47902513,48118921,48431348,48657265,48708758,48814993,48832878,48840518,48894433,48940146,49040055,49643845,49692198,49744340,49806834,50051782,50053250,50067512,50102053,50436560,50453676,50484278,50592546,50652901,50746136,50961733,51099481,51807433,52013401,52036971,52089721,52171765,52194519,52292593,52309392,52317190,52429521,52976053,53200596,53288238,53304553,53430865,53550361,53778968,54289713,54482214,54547345,54578360,54869492,55172420,55211078,55295461,55342104,55465784,55522165,55906041,55912681,56080052,56325951,56356165,56443718,56633845,56741130,57023655,57032814,57089403,57372078,57467028,57533641,57600241,57604465,57966433,58014529,58296565,58388718,58540681,58549273,58606633,58778758,58848066,58879713,59293850,59475889,59572614,59693208,59911598,59980718,60013713,60063900,60501339,60521233,60523872,60768116,60768961,60825232,61077601,61400655,61525153,61563481,61888760,61948775,62007409,62163781,62231221,62259867,62287238,62399007,62606118,62780628,62839345,63124822,63311749,63390001,63667652,63684974,63710612,63797365,63983854,64056913,64068160,64117038,64207345,64317649,64495713,64557001,64557332,64821961,64829432,65381492,65456814,65494032,65539640,65843665,65892793,65929412,66168596,66206904,66259969,66264321,66331321,66391441,66626598,66848281,67096148,67143441,67154859,67518241,67551099,67627398,67781816,67787540,67880965,67960614,67963575,68089356,68428386,68558065,68824916,68891313,68900593,69125358,69187640,69204134,69398516,69409095,69583940,69624855,69693433,69849190,69886033,69931694,69955878,69976713,70100331,70467092,70476721,70583365,70778341,71152620,71280133,71429631,71487201,71643704,71702121,72076680,72118213,72131313,72245761,72302809,72494480,72795241,72933111,73403665,73412372,73607655,73626681,73646678,73680786,73732095,73955602,73979761,74036368,74161702,74266512,74338530,74482767,74688321,74740465,74870233,75032462,75301678,75317701,75407214,75699553,75744561,75896128,76176001,76254543,76369078,76387892,76399736,76556838,76828033,76881792,77048814,77071849,77322358,77398081,77836095,78283621,78514832,78647568,78732758,78843433,78861241,78880881,78991345,79012398,79232521,79294432,79474441,80114360,80121801,80311345,80352421,80417975,80423876,80599167,80631529,80661422,80784409,80944761,81086265,81104281,81149961,81345048,81457158,81556290,81559713,81604033,81662401,81777781,81956089,82030328,82269678,82286708,82358132,82629875,82753238,82809190,83025168,83290914,83452775,83500728,83549826,83595513,83635503,83819028,84658808,84700038,84705500,84872041,85007721,85035275,85168148,85208601,85383144,85434932,85686740,85702441,85720294,85835607,85949703,85964438,86009961,86376133,86492016,86601841,86608713,86993376,87240565,87374053,87556142,87947830,87963001,88084398,88089014,88209013,88268078,88329186,88478514,88498250,88535365,88544929,88984281,89206236,89231809,89453972,89519798,89573313,89621542,89637301,89651782,89686681,89688558,89964921,90027361,90128655,90221295,90260233,90341365,90381061,90423398,90727345,90767521,90999889,91015160,91513179,92035316,92085518,92224760,92284119,92653071,92708038,92789713,92952409,93025153,93035665,93107269,93137732,93403314,93434132,93576934,93664993,93938319,94072309,94087633,94208521,94348921,94759030,94789614,95241159,95851640,96056037,96135014,96137232,96225238,96236048,96373614,96399601,96454630,96497449,96501570,96566708,96716521,97303518,97615641,97655569,97866841,97867548,98054821,98156353,98175513,98187512,98803033,98906401,99079988,99155850,99202693,99371028,99566075,99621601,99837190,99882865,99902420,...,1366605042620409910361268263695903773302223200844004824299731615990163612656899441005050417247704629075578987341838763782740526203692268631803860464390911751125700043679533196927201568177536893725915094541137938570428293384591195279349729747188001971484671100819778332195300678101408958929951544209260485915262028079841071304954141153325764405787955496690749973924130205157015646102817103276892696495582961350109716152360822048635383615599134141744255847167348264316409679071548160380624007624711326537717783387390005233025417182827843691548018074368986518981505977873002687280063262676167951291164735952510853941634844897952377134583081201715926737747333978207497852452288470456971837178397041857044896555813162176912424911326767276044862354814972696333482049924554461363179874087779766684729094063260583238321505885664338957228602979761654367939656096558020635689324129827101047940794961992645743941431032106598508797808406461543158838911892822488663896479751053288046837020558257199808757996212844220428075866080088587244969541957022169455953247849155565979796736153677823063400215656016943503195244127920293922582823725971949533606364866759566418483165879308526993519376210300171594265542020344567740826173410608961417927979874042727596079312162773803983221329580275643065641686711681898008615759795660891333136295567233140870832217546602472029942807944107614525114675706251370040571977389053209671001837369187170029181625276701149539312505401548167593808580447359869097405742836989616431990998513299896855324137119324188100128218424622587568861327330158225214837875268085217276369905313503574255318009300153878237378911357294265078534948459116142931867573152725729645358437659881161364362687683181947186923936220112456648398149954643941083354429996249817941509911684625249738326584809618036780427633809243726316149119969754829271750273636771575682520061272298714891573931581375215472315399451280538688913218770317109589954754934127941576077797429793746863302375718193031753484191865773944821381619704178334493534476641413363082087494608289973977563370165922575084231640147812352151726469667983344689874052350173224074030903291118659809951998161554884399255082409480268767251206263968176648102557880231841740663980731452792703638213838975317732839475191494396831666683592579623156157870368179448730508197982588217705352055016668393411578217013304520343488066748183286738304331223631382428912003666326583798755487616431966346537362984854332522724143254}
15432  1824608964565100923614834595325276748048089604130039766501265427: {77135,92562,292847,477431,524042,631031,893258,907007,1090631,1121207,1273967,1446002,1548431,1578887,1602952,1629962,1731047,1803321,2180978,2277868,2488847,2543145,2639807,2712688,2911031,3031367,3051774,3096458,3541367,3631127,3776185,4008338,4108631,4116748,4287167,4435727,4531422,4702631,4850284,4998431,5097842,5263967,5291752,5313345,5394550,5411207,5667568,5705087,5948428,5953221,6001802,6027431,6290447,6376014,6473460,6518152,6679084,6727367,6905024,6930647,7332921,7509287,7595807,7706500,7768152,7798922,8056031,8156618,8232424,8371247,8500684,8513738,8639961,8739171,8870282,8913431,9169247,9227308,9247800,9261477,9460545,9590188,9650687,9763631,9864320,9932807,10019541,10091248,10186031,10241665,10326431,10403775,10438607,10467602,10578647,10644362,10774367,10840785,11097360,11352654,11563504,11837184,11857631,11895304,11928025,12243527,12289998,12484530,12819431,12829033,12843148,12846767,13008942,13013845,13113064,13316832,13382217,13473287,13798487,13801418,13842952,13922284,14041631,14203367,14313630,14323058,14552807,14606447,14630950,14640268,14670098,14713631,14752197,14847431,14981436,15267872,15274247,15416401,15543784,15573321,15616614,15621865,15646031,15884207,16148087,16437431,16668453,16740242,16756744,16830431,16999144,17176356,17425682,17486757,17557140,17767538,17843807,18101687,18153167,18210184,18230327,18279242,18327190,18568588,18727616,18746238,18851337,19124037,19129202,19150631,19177864,19404431,19468178,19632167,19677441,19902952,19920985,19934807,19975562,20060567,20144402,20342668,20386024,20486457,20805081,20885567,21034631,21068568,21282431,21504767,21554087,21575097,21628007,21992628,22023430,22109548,22143431,22316950,22326218,22390821,22659722,22751457,22934277,22970447,23009545,23142385,23325002,23425525,23452607,23519752,23530017,23596631,23620607,23656778,23702139,23836031,23869228,23905182,23979287,24241384,24336167,24412821,24483698,24856465,25288585,25466087,25635338,25780521,25799282,26089294,26093567,26181700,26428116,26453618,26459721,26780340,26989631,27257461,27268298,27271557,27601384,27611454,27770862,28011925,28110630,28319752,28402802,28456031,28458550,28565696,29037544,29143487,29253647,29369618,29798284,29827758,29866847,29903973,29910407,29984672,29997431,30322631,30346302,30491018,30559967,30624527,30769377,30892393,30996745,31051557,31095767,31135993,31159727,31266167,31414785,31418040,31520807,31605362,31720465,31763978,31859721,31900607,32047607,32136408,32215468,32421657,32548631,32667237,32735327,32776727,32791465,33060550,33134997,33147887,33271031,33455207,33509104,33512576,33570184,33614310,33656138,33699767,33732756,33812882,34150260,34265927,34276108,34306127,34486631,34566647,34666487,34750322,35051457,35281031,35345295,35383909,35556047,35644108,35790527,35855264,35985388,36126550,36140087,36146762,36153459,36357145,36426944,36719221,36850487,36981685,37196094,37270420,37286567,37347628,37399631,37415521,37474847,37512407,37681031,37697742,37701648,37766457,38064558,38127527,38142265,38312207,38600522,38806847,38861447,38939230,38970431,39043948,39061031,39241748,39331631,39349758,39403487,39446425,39672660,39778631,40106937,40115402,40150247,40203047,40238207,40308431,40337172,40553207,40570631,40595737,40733068,40813727,40831031,40969045,40980312,41431631,41448647,41515377,41686031,41727925,41753567,41765138,42005687,42094984,42317504,42360722,42414354,42537527,42566152,42849431,42947327,43101962,43351860,43416431,43544978,43628574,43642545,43672367,43809073,44131990,44280458,44378022,44402869,44479990,44613887,44724504,44829431,44918152,44995785,45021273,45195287,45285265,45301127,45314950,45646127,45770718,45883631,45885842,46089767,46102851,46241984,46308887,46540631,46552048,46698767,46727076,46841687,46844950,46884407,46898378,47056597,47186378,47307647,47335710,47356857,47473802,47585807,47599631,47607192,47668631,47682407,47751167,47756065,47886921,47995504,48132527,48199967,48294047,48348085,48361007,48424341,48532561,49084367,49135624,49148927,49162854,49328018,49341407,49506767,49809237,50073510,50093327,50142431,50313287,50315067,50458487,50491424,50532921,50566631,50578607,50877962,50992727,51039431,51044908,51213431,51576722,51623687,51713447,51780431,51791567,51990647,52012607,52022232,52133138,52154567,52176287,52231557,52371054,52456030,52687967,52698431,52792247,52857201,52918645,52958388,53099752,53100287,53101322,53150927,53222078,53239058,53251607,53368473,53375988,53411744,53558091,53568407,53607431,53857967,53994942,54140327,54152665,54342318,54377940,54488950,54550367,54630431,54639287,54726664,54762431,54785553,54804745,54944207,54978431,55152242,55231031,55272431,55277577,55403567,55427927,55444127,55516631,55643927,55800167,55869431,55915247,55935148,55963538,56059640,56169431,56213940,56428487,56561065,56629631,56690687,56725753,56802852,56889527,56896031,56967047,56992631,57087431,57126345,57228268,57271631,57276904,57307278,57325487,57347185,57448631,57528767,57550828,57596207,57612887,57648025,57733007,57775727,57859631,57931041,57951777,57981647,57993910,58003136,58011431,58017702,58036031,58195084,58202344,58221047,58225631,58406687,58461287,58486031,58498442,58506431,58525011,58542647,58570367,58628447,58681031,58703087,58739207,58756967,58819247,58838188,58888631,58981631,59025431,59042447,59083727,59118047,59130887,59156882,59160887,59182631,59226407,59281631,59283647,59309089,59322287,59371007,59380631,59388431,59403431,59432327,59481431,59489567,59508767,59512007,59521031,59523887,59530727,59531327,59534807,59536031,59681042,59737221,59793721,59800684,59810145,59961536,60050152,60088212,60539185,60592778,60934768,61085893,61512321,61567497,62139338,62180425,62354668,62395082,62584390,62688241,62947236,63031922,63045700,63067095,63318574,63432670,63502374,63538802,63797488,64169162,64436517,64593217,64781822,64887657,64983198,65070057,65110504,65253528,65294738,65386740,65477637,65765694,66085701,66256264,66409112,66500745,66849769,66899978,67144778,67223710,67271568,67456728,67556421,67628054,67873278,68166241,68222950,68480882,68551614,68586865,68700478,68816622,68824921,68965525,69035493,69177630,69332230,69382628,69561098,69592692,69745856,69906028,70100065,70274762,70511498,70934128,71050984,71100818,71176917,71772174,71776537,71833785,71919818,72386284,72642952,72647022,72731762,73063137,73192562,73249317,73260777,73410219,73422098,73765322,73789472,74076457,74538297,74541388,74616510,74710251,75077673,75079875,75101268,75362677,75654840,75680514,75726417,75888819,75960145,76031540,76043752,76119204,76131602,76496104,76622704,77360950,77673842,77851624,78109298,78326162,78464088,78475785,78506284,79430152,79584565,79590944,79638265,79800894,79932357,80018284,80085200,80463122,80568458,80668452,80696665,80698496,81036790,81092978,81613898,81723321,81726865,81867540,81924550,82304238,82411765,82644938,82710745,82758630,82816617,82849418,83013156,83198676,83358098,83474824,83707504,83870185,83963762,84064202,84120078,84206542,84665577,84727270,84734425,85111695,85455242,85489384,85549221,85553522,85914073,85994284,86031145,86058117,86200542,86484550,86748145,86979925,87275752,87325376,87356737,87583077,88083865,88168137,88272099,88275872,88341002,88352428,88835464,88902602,88940775,89117281,89181458,89358921,89524588,89539812,89554630,89643338,89867397,89971077,90068132,90095850,90101618,90169864,90614152,90618100,90646802,90785808,91152174,91237848,91543922,91721618,91765465,91855084,92167144,92545460,92601458,92833140,93175753,93274504,93302284,93430857,93467108,93723722,93909177,94170942,94368649,94570442,94687233,94870160,95071562,95154578,95239508,95316268,95320178,95484865,95499670,95501478,95527461,95565918,95602828,95975781,96009109,96102240,96175084,96175557,96220682,96704522,96835998,97244148,97735058,97813322,97980421,98072238,98124938,98127253,98143540,98168908,98185221,98241048,98279882,98309460,98525557,98894118,98970002,99022016,99118040,99252894,99310356,99423602,99584428,99939897,...,2049907563930614865541902395543855659953334801266007236449597423985245418985349161507575625871556943613368481012758145674110789305538402947705790696586367626688550065519299795390802352266305340588872641811706907855642440076886792919024594620782002957227006651229667498292951017152113438394927316313890728872893042119761606957431211729988646608681933245036124960886195307735523469154225654915339044743374442025164574228541233072953075423398701212616383770751022396474614518607322240570936011437066989806576675081085007849538125774241765537322027111553479778472258966809504030920094894014251926936747103928766280912452267346928565701874621802573890106621000967311246778678432705685457755767595562785567344833719743265368637366990150914067293532222459044500223074886831692044769811131669650027093641094890874857482258828496508435842904469642481551909484144837030953533986194740651571911192442988968615912146548159897763196712609692314738258367839233732995844719626579932070255530837385799713136994319266330642113799120132880867454312935533254183929871773733348969695104230516734595100323484025415254792866191880440883874235588957924300409547300139349627724748818962790490279064315450257391398313030516851611239260115913442126891969811064091394118968244160705974831994370413464598462530067522847012923639693491336999704443350849711306248326319903708044914211916161421787672013559377055060857966083579814506502756053780755043772437915051724308968758102322251390712870671039803646108614255484424647986497769949845282986205678986282150192327636933881353291990995237337822256812902127825914554857970255361382977013950230817356068367035941397617802422688674214397801359729088594468037656489821742046544031524772920780385904330168684972597224931965911625031644994374726912264867526937874607489877214427055170641450713865589474223679954632243907625410455157363523780091908448072337360897372062823208473099176920808033369828155475664384932132401191912364116696144690620294953563577289547630226287798660917232072429556267501740301714962120044623131241912434960966345055248883862626347460221718528227589704501975017034811078525259836111046354936677989714927997242332326598882623614220403150876809395952264972153836820347762610995971097179189055457320758462976599259212787241595247500025388869434734236805552269173095762296973882326558028082525002590117367325519956780515232100122274930107456496835447073643368005499489875698133231424647949519806044477281498784086214881}
15433  1832747848595221795140987808867821569542429241139041676860417165: {123416,138843,786063,1339887,1402583,2003690,2169003,2373602,2404428,2444943,2847335,3271467,3390860,3416802,3804047,4069032,4577661,4630283,4644687,4959122,5145935,5248331,5703383,5802407,6012507,6041896,6062855,6175122,6437618,6614690,6725867,6797133,6807242,7084460,7203371,7275426,7399223,7435535,7646763,7937628,8091825,8147690,8348855,8501352,8595743,8631280,8829842,8922642,9002703,9060587,9392903,9564021,9633125,9710190,9777228,9819458,10018626,10118066,10290530,10307231,10357536,10408391,10625855,10810031,11237663,11473931,11519948,11534135,11559750,11652228,11698383,11781887,11975567,11987735,12035762,12112583,12179687,12234927,12325247,12330400,12348636,12521762,12614060,12751026,12770607,13082423,13305423,13359388,13600811,13820327,13840962,13871700,14167127,14385282,14454380,14546642,14662151,14796480,14869130,14874251,15136872,15468527,15701403,15782912,15895682,15933911,15966543,16053935,16213682,16386664,16391330,16391882,16646040,16780631,16952066,17028981,17303690,17345256,17356427,17402855,17415083,17482511,17737967,17755776,17837771,17842956,18300335,18360287,18434997,18726795,19084840,19155167,19264722,19344266,19429730,19513413,19523831,19669596,19938578,19975248,20113847,20473547,20579783,20611778,20702127,20764428,20822152,20883426,20945930,21026471,21211211,21248930,21300383,21429962,21470445,21484587,21534647,21927602,21946425,21960402,22005147,22224604,22472154,22485983,22762730,22901808,23210735,23315676,23409520,23424921,23560706,23972330,23975138,24151211,24176987,24779783,24878690,24994984,25110363,25135116,25218407,25261031,25365131,25407851,25428335,25482530,25498716,25764534,25857386,26037167,26138523,26236588,26335710,26651307,26691911,26813063,27060287,27315276,27359387,27418863,27490785,27636935,27680522,27740108,27852882,27856427,28091424,28119357,28363871,28693803,28766796,29202267,29320466,29323504,29373911,29385647,29399690,29579927,29836535,29854428,29963343,29973047,30018098,30216603,30301730,30335276,30344831,30514002,30579036,30933026,31119131,31151783,31373356,31602852,31873576,32455727,32550428,32727125,32988942,33008951,33035145,33164322,33210482,33475425,33489327,33743531,33989583,34038818,34163303,34374028,34501730,34689527,34987503,35237488,35279628,35399690,35465807,35471306,35485167,35707120,35803842,35857773,36046802,36099551,36262283,36296930,36362076,36528458,36725547,36815272,36833111,36887531,37027816,37245383,37247855,37283147,37480840,38000591,38053202,38204543,38271167,38305346,38342831,38453007,38698923,38894747,39042578,39133941,39272550,39303383,39415787,39642174,39680427,39766031,39770344,39871964,40170510,40207967,40269335,40461736,40726271,40733042,40902447,41025836,41402076,41417181,41656293,41657186,41886380,41890720,41962730,41996066,42165945,42248567,42479628,42604203,42687825,42845135,42848544,42993671,43058591,43228876,43264082,43556316,43789547,44054427,44062898,44179996,44555135,44697426,44741637,44819080,44834543,44977008,44981735,45519453,45533680,45736527,45849767,46001423,46462283,46588025,46684535,46735276,46768907,47026223,47127060,47127707,47182826,47408043,47645967,47885831,48204612,48239531,48323202,48347666,48804935,48821387,48849707,49052185,49526327,49590825,49594792,49598807,50058338,50097167,50117291,50263656,50268864,50355276,50405951,50421465,50484207,50599134,50719323,50723618,50752744,50916335,50927051,51225390,51414162,51479111,51603338,52067522,52125483,52386287,52466344,52538903,52543883,52584842,52618730,52718402,52896880,52994507,53207690,53317922,53369927,53466162,53475916,53557367,53782896,53978082,54189825,54220143,54376463,54630683,54640416,54908111,54946331,55111487,55302767,55353836,55686866,55689023,55705586,55794141,55822802,55905630,56021442,56147690,56265191,56546613,56552472,56834891,56957231,56971691,57096837,57596663,57802480,57865247,57900783,57974231,58107973,58171432,58190060,58408845,58565922,58862622,59024637,59122991,59152106,59170696,59222783,59508990,59632672,59994380,60019058,60028364,60173103,60505758,60508571,60529151,61027624,61099602,61419530,61470383,61470468,61652471,62015531,62067362,62169611,62302768,62647707,62715986,63114280,63133058,63142476,63476256,63541083,63562583,63621531,63806135,63849228,64565447,64565788,64652943,64653842,64902986,65027790,65317467,65442861,65501531,65550472,65693906,65768267,66009266,66078623,66197985,66374690,66400127,66412316,66420687,66538283,66567033,66719985,66764680,66934091,67044866,67086756,67377228,67478258,67543487,67548263,67706123,67972425,67994303,68120171,68126447,68408330,68656077,68677211,68828763,69362976,69477167,69501383,69642076,69702551,69828072,69918935,70074550,70090614,70267425,70289687,70347567,70476268,70611184,70779567,71003565,71116322,71157964,71160266,71167984,71210703,71289551,71410788,71535335,71596130,71749031,71817863,71938535,71993256,72044207,72352907,72456424,72503920,72743855,72752930,73040471,73047404,73244066,73547735,73703436,73744281,73745666,73760747,73992027,74171378,74230943,74750855,74803211,74951920,75062690,75110265,75617282,75737136,75873842,76011767,76168460,76316943,76366283,76379042,76409704,76567362,76675658,76709186,77241388,77269036,77347871,77356936,77365083,77408207,77731031,77779346,77848562,77894123,77943335,78033348,78199707,78264071,78360242,78556581,78684045,78807125,78898631,79045706,79242887,79287383,79437582,79649628,79651983,79666031,79746860,79833117,79858587,80063982,80117616,80646251,80914091,80992413,81359387,81388130,81464423,81513477,81566910,81615191,81733425,81912347,82016428,82089996,82728363,82820330,83011390,83351243,83397143,83902722,83929648,83945307,84089460,84178607,84320910,84669832,85204278,85842402,85915356,85953947,85960917,86326242,86419106,86516876,86644264,86728285,86760076,86990865,87004704,87026553,87182320,87292626,87303516,87382535,87430271,87687592,87747663,87975083,88114268,88119131,88220567,88257282,88667660,88735323,88813730,89187218,89316311,89521563,89647562,89695424,89701026,89805647,89890283,89942304,90026183,90075228,90132318,90318338,90482855,90497704,90803690,90889167,91080971,91096751,91396226,91402152,91755496,91870223,92047324,92059202,92181131,92236840,92563343,92790256,92801867,92965967,93176735,93209007,93279131,93532002,93589298,93592623,93743882,93876585,94084631,94242962,94357031,94361387,94420854,94547883,94568550,94856987,94902556,94977861,95033351,95039425,95054690,95149005,95253561,95291807,95308203,95620130,95696232,95778380,95802338,95805026,95935127,95981291,96237842,96253743,96538031,96862696,97172733,97314530,97417516,97474797,97629986,97649087,97665756,97681036,97788866,97880292,97942107,97981631,98080110,98132855,98648541,98816711,99215687,99233231,99287690,99384396,99488680,99613668,...,2733210085240819820722536527391807546604446401688009648599463231980327225313798882010100834495409258151157974683677527565481052407384537263607720928781823502251400087359066393854403136355073787451830189082275877140856586769182390558699459494376003942969342201639556664390601356202817917859903088418520971830524056159682142609908282306651528811575910993381499947848260410314031292205634206553785392991165922700219432304721644097270767231198268283488511694334696528632819358143096320761248015249422653075435566774780010466050834365655687383096036148737973037963011955746005374560126525352335902582329471905021707883269689795904754269166162403431853475494667956414995704904576940913943674356794083714089793111626324353824849822653534552089724709629945392666964099849108922726359748175559533369458188126521166476643011771328677914457205959523308735879312193116041271378648259654202095881589923985291487882862064213197017595616812923086317677823785644977327792959502106576093674041116514399617515992425688440856151732160177174489939083914044338911906495698311131959593472307355646126800431312033887006390488255840587845165647451943899067212729733519132836966331758617053987038752420600343188531084040689135481652346821217922835855959748085455192158624325547607966442659160551286131283373423363796017231519591321782666272591134466281741664435093204944059885615888215229050229351412502740081143954778106419342003674738374340058363250553402299078625010803096335187617160894719738194811485673979232863981997026599793710648274238648376200256436849245175137722654660316450429675750536170434552739810627007148510636018600307756474757822714588530157069896918232285863735146305451459290716875319762322728725375366363894373847872440224913296796299909287882166708859992499635883019823369250499476653169619236073560855267618487452632298239939509658543500547273543151365040122544597429783147863162750430944630798902561077377826437540634219179909509868255883152155594859587493726604751436386063506968383731547889642763239408356668987068953282826726164174989216579947955126740331845150168463280295624704303452939335966689379748104700346448148061806582237319619903996323109768798510164818960537534502412527936353296205115760463683481327961462905585407276427677950635465678950382988793663333367185159246312315740736358897461016395965176435410704110033336786823156434026609040686976133496366573476608662447262764857824007332653167597510975232863932693074725969708665045448286508}
15434  1840922749247711142622894792815497358631701610457084130894536970: {107989,154270,185124,585694,661813,937753,954862,1048084,1121353,1262062,1579093,1786516,1814014,1943989,2181262,2242414,2398489,2489173,2547934,2892004,2941513,3005535,3096862,3157774,3205904,3259924,3462094,3560403,3606642,3661513,4238575,4361956,4555736,4732873,4977694,5086290,5125203,5279614,5286659,5425376,5617753,5822062,6062734,6103548,6192916,6320473,7082734,7262254,7279189,7438683,7552370,8016676,8143189,8217262,8233496,8574334,8855575,8871454,8999989,9062844,9085273,9262683,9405262,9656427,9700568,9922035,9996862,10195684,10210863,10527934,10583504,10626690,10789100,10822414,10913139,11026933,11335136,11410174,11896856,11906442,12003604,12054862,12221535,12580894,12752028,12766489,12848533,12946920,13036304,13244763,13358168,13383963,13454734,13810048,13861294,14338331,14393689,14399935,14565285,14665842,14729187,14876233,15018574,15027939,15177099,15191614,15413000,15435795,15536304,15595189,15597844,15674713,15767575,16112062,16313236,16464848,16465993,16699235,16742494,17001368,17027476,17250073,17279922,17339625,17478342,17561689,17740564,17826862,18053643,18067975,18219383,18258613,18338494,18454616,18495600,18522954,18719989,18782643,18921090,19126539,19180376,19301374,19527262,19728640,19865614,19937653,20039082,20182496,20372062,20483330,20498731,20539573,20652862,20761443,20807550,20877214,20935204,21157294,21285493,21288724,21548734,21577923,21681570,21819963,21870611,22194720,22303695,22463989,22705308,23127008,23624053,23674368,23715262,23790608,23839513,23843523,23856050,23911189,23982793,24320523,24487054,24553033,24579996,24586995,24587823,24969060,25329589,25428099,25638862,25658066,25686296,25693534,25955535,26017884,26027690,26226128,26633664,26764434,26787913,26946574,27062089,27471193,27596974,27602836,27685904,27780755,27844568,27889379,28083262,28406734,28415689,28482613,28627260,28646116,28897083,29016399,29105614,29144595,29212894,29261900,29280536,29340196,29427262,29504394,29674933,29694862,29907867,29962872,30067189,30535744,30548494,30650713,30832802,30917667,30972373,31087568,31146642,31233228,31243730,31292062,31325139,31418895,31768414,31873395,31989589,32144943,32213363,32296174,32399339,32795735,32874862,32891403,32940603,33296713,33336906,33480484,33513488,33660862,33708231,33998288,34089973,34144095,34150489,34352712,34512073,34675135,34691893,34799051,34851364,34973514,35114280,35341059,35345689,35404019,35535076,35687614,35698633,35874133,35932489,35958495,35962707,36203374,36223189,36306334,36420368,36460654,36512089,36558484,36654380,37137176,37311433,37318035,37455232,37492476,37702674,37873753,37919095,38223795,38248074,38258404,38301262,38355728,38646801,38786079,38808862,38936356,38976793,39216695,39264334,39354882,39503565,39785173,39805904,39841970,39869614,39951124,40121134,40288804,40577353,40685336,40688035,40772048,40837813,40972914,41455573,41520783,41610162,41771134,41779323,41817347,41861653,42069262,42137136,42163189,42362773,42564862,42659989,42709273,42967535,43009534,43108174,43150194,43256014,43343413,43395443,43679833,43980699,43985256,44046860,44099535,44218343,44219096,44286862,44408651,44575189,44633900,44652436,44781642,45027147,45035989,45218293,45309013,45319444,45452595,45489589,45502914,45771003,45868554,45908051,45940894,46019090,46112533,46284770,46399539,46650004,46851050,46905214,47020489,47039504,47060034,47193262,47241214,47313556,47404278,47608153,47672062,47690953,47738456,47810364,47958574,48302773,48482768,48672334,48819913,48825642,48859189,48967396,49483413,49629589,49712930,49746483,49815723,49817689,49839955,49855093,50225173,50577170,50588053,50900003,50932174,50943733,51058227,51270676,51282295,51561042,51598564,51633493,51752595,51774359,51801433,51934489,52178588,52187134,52357975,52363400,52582489,52708633,52771273,52856232,52907236,52919442,53049589,53099535,53206959,53399171,53560680,53705763,53820853,53978947,53979262,54036095,54070203,54445395,54514922,54536596,54543114,54650293,54755989,54792687,54912373,55167253,55202768,55222908,55224995,55267189,55291993,55487833,55541724,55631689,55842613,55957273,56023850,56221260,56333653,56639504,56729689,56749813,56805604,56908213,56912062,56917100,57079803,57099733,57131392,57356663,57391189,57458019,57478489,57547033,57664213,57729589,57872473,57887989,58075088,58183189,58238773,58286974,58419095,58462153,58507294,58523893,58563867,58698313,58739236,58836373,58895989,58908825,58989589,59025013,59116489,59298073,59327413,59404633,59462089,59463261,59507989,59527753,59550793,59552089,59596568,59655516,59733694,59807946,59820814,59969344,59994862,60255765,60645262,60692604,60982036,61099563,61119934,61249054,61538754,61784786,61993490,62103114,62191534,62271986,62319454,62485779,62532334,62829570,62836080,62944095,62994099,63041614,63210724,63399371,63440930,63527956,63719442,63801214,64095214,64272816,64430936,64843314,64896123,65097262,65334474,65470654,65553454,65582930,66094347,66121100,66162283,66269994,66295774,66542062,66844895,66858491,66910414,67018208,67025152,67046139,67140368,67228620,67312276,67399534,67465512,67625764,67687319,68300520,68531854,68552216,68612254,68973262,69133294,69192295,69332974,69500644,70102914,70562062,70690590,70767818,70774239,71112094,71288216,71581054,71710528,71970776,72192419,72253100,72280174,72293524,72306918,72484803,72521499,72714290,72737575,72853888,73438442,73700974,73963370,74086103,74392188,74540840,74573134,74695256,74799262,74831042,74949694,74992975,75024814,75035455,75087507,75362062,75395484,75403296,75532914,75576679,75813731,75898701,76085427,76129116,76255054,76284530,76624414,76726643,76838085,77121243,77201044,77405007,77613694,77722894,77878460,77940862,78087896,78101283,78122062,78483496,78663262,78699516,78806974,78877263,78892850,78928095,79077603,79185491,79345320,79557262,79811535,79976883,80199243,80213874,80230804,80286059,80300494,80406094,80476414,80560103,80616862,80674344,80707235,80967123,81106414,81141262,81191474,81338543,81466136,81627454,81662062,81938090,81960624,82863262,82897294,83015395,83030754,83372062,83389471,83455850,83507134,83530276,83530299,83558379,83734203,83858445,84011374,84032163,84189968,84221535,84635008,84721444,84754859,84828708,85075054,85132304,85698862,85894654,86203924,86703720,86832862,87052595,87089956,87257148,87285090,87344734,87618146,87848883,88095335,88263980,88293933,88560916,88728159,88756044,88805738,88947455,88959980,89227774,89263485,89449008,89478763,89658862,89836304,89991570,90028587,90042546,90390574,90570530,90602254,90629900,90758637,91292254,91309255,91541436,91649403,91767262,91771684,92129295,92179534,92205702,92483968,92617774,93081262,93101043,93104096,93397534,93454152,93683374,93689900,93768814,93796756,94073979,94113194,94372756,94615294,94671420,94699587,94713714,94947604,95171614,95199262,95210575,95214384,95337262,95364814,95502334,95512130,95773842,95991008,96021611,96265054,96399934,96551735,96586295,96588094,96696170,96722014,96848682,96980763,97065122,97354479,97541685,98140091,98168734,98271248,98297854,98325708,98497267,98540859,98656036,98682814,99013534,99013899,99562035,99601667,99618474,99683575,...,4099815127861229731083804791087711319906669602532014472899194847970490837970698323015151251743113887226736962025516291348221578611076805895411581393172735253377100131038599590781604704532610681177745283623413815711284880153773585838049189241564005914454013302459334996585902034304226876789854632627781457745786084239523213914862423459977293217363866490072249921772390615471046938308451309830678089486748884050329148457082466145906150846797402425232767541502044792949229037214644481141872022874133979613153350162170015699076251548483531074644054223106959556944517933619008061840189788028503853873494207857532561824904534693857131403749243605147780213242001934622493557356865411370915511535191125571134689667439486530737274733980301828134587064444918089000446149773663384089539622263339300054187282189781749714964517656993016871685808939284963103818968289674061907067972389481303143822384885977937231824293096319795526393425219384629476516735678467465991689439253159864140511061674771599426273988638532661284227598240265761734908625871066508367859743547466697939390208461033469190200646968050830509585732383760881767748471177915848600819094600278699255449497637925580980558128630900514782796626061033703222478520231826884253783939622128182788237936488321411949663988740826929196925060135045694025847279386982673999408886701699422612496652639807416089828423832322843575344027118754110121715932167159629013005512107561510087544875830103448617937516204644502781425741342079607292217228510968849295972995539899690565972411357972564300384655273867762706583981990474675644513625804255651829109715940510722765954027900461634712136734071882795235604845377348428795602719458177188936075312979643484093088063049545841560771808660337369945194449863931823250063289988749453824529735053875749214979754428854110341282901427731178948447359909264487815250820910314727047560183816896144674721794744125646416946198353841616066739656310951328769864264802383824728233392289381240589907127154579095260452575597321834464144859112535003480603429924240089246262483824869921932690110497767725252694920443437056455179409003950034069622157050519672222092709873355979429855994484664653197765247228440806301753618791904529944307673640695525221991942194358378110914641516925953198518425574483190495000050777738869468473611104538346191524593947764653116056165050005180234734651039913561030464200244549860214912993670894147286736010998979751396266462849295899039612088954562997568172429762}
15435  1849133824640225088105545076498689883893748592546734105507708768: {231405,246832,277686,878541,1310105,1432293,1572126,1864973,1893093,2233145,2679774,2721021,2805166,3271893,3363621,3615005,3821901,3896453,3986269,4007380,4074905,4338006,4450889,4645293,4736661,4747204,4808856,4889886,5193141,5409963,5452445,5694670,6202573,6542934,6781720,6833604,6937733,7204309,7466541,7608094,7629435,7741145,7919421,7949909,8138064,8487997,8733093,9094101,9155322,9260566,9289374,9918244,10020845,10260461,10291870,10409749,10496662,10624101,10717769,10893381,11328555,11406766,11604814,11688397,12025014,12083792,12125710,12181273,12325893,12350244,12559741,12744605,12861501,12875236,12932057,13229380,13307181,13451734,13486375,13594266,13614484,14107893,14168920,14406742,14550852,14566201,14773453,14798446,14871070,14876197,14995293,15004505,15293526,15405077,15791901,15875256,15940035,16147789,16183650,16233621,16295380,16697710,16782829,17002704,17115261,17191486,17262560,17659684,17845284,17859663,18005406,18082293,18121174,18722621,18785806,18871341,19128042,19266250,19420380,19497305,19539277,19554456,19638916,20037252,20182101,20236132,20391545,20476213,20512141,20581060,20614462,20715072,20791941,20816782,20934317,21029209,21251710,21284345,21620062,21698521,21998763,22175705,22475326,22475509,22527861,22787421,22947862,23037509,23039896,23068270,23119500,23192777,23304456,23396766,23563774,23951134,23975470,24071524,24168093,24225166,24359374,24363997,24469854,24650494,24660800,24697272,25043524,25113741,25228120,25502052,25541214,25620469,25919883,26164846,26169005,26217513,26610846,26610905,26718776,26740293,27201622,27507741,27640654,27681924,27743400,27784431,28232917,28334254,28380301,28381635,28770564,28908760,28952061,29093284,29263061,29290893,29324302,29592960,29738260,29748502,29798421,29967541,29976973,30058623,30273744,30558093,30724995,30937054,30979293,31211325,31315821,31402806,31565824,31700797,31735941,31791364,31867822,31933086,32004533,32107870,32323101,32333821,32427364,32495029,32522355,32773328,32782660,32783764,32996909,33292080,33561262,33904132,34044149,34057962,34503545,34607380,34690512,34694053,34712854,34805710,34830166,34965022,35475934,35511552,35572893,35599669,35675542,35685912,35784075,35807645,35862073,36577375,36600670,36675245,36720574,36730581,36869994,36892357,37453590,38005549,38169680,38310334,38458293,38487099,38529444,38540301,38676377,38688532,38691709,38859460,39026826,39041535,39047662,39339192,39762101,39877156,39950496,40146651,40213213,40227694,40346557,40419861,40947094,41159566,41223556,41395461,41404254,41528856,41644304,41766852,41771149,41850605,41891860,41892653,42052942,42124893,42422422,42497860,42507317,42600766,42610101,42859924,42940890,42969174,43059161,43069294,43564205,43658421,43819341,43855204,43860773,43892850,43920804,44010294,44061901,44140893,44256591,44418845,44449208,44542293,44777437,44944308,44971966,45229561,45517597,45525460,45698105,45803616,45817975,45822741,46028149,46249203,46421470,46631352,46719963,46819040,46849842,46865595,46938093,47121412,47472797,47652621,47823005,47944660,47950276,48086341,48302422,48353974,48444261,48670445,48767213,49312293,49442069,49559566,49757380,49938905,49989968,50005359,50220726,50270232,50361005,50436814,50491293,50522062,50730262,50815702,50856670,50965060,50997432,51529068,51714772,52018261,52074334,52146997,52277046,52306301,52460271,52473176,52671420,52678109,53302614,53383822,53531421,53626126,54120574,54305061,54459501,54630552,54690981,54718774,54837726,54981570,55058575,55273870,55361044,55480216,55696381,55705764,55712854,55792375,55815545,56182848,56238714,56377069,56554011,56649305,56727742,56979673,57372111,57387606,57451893,57533592,57535477,57548909,58213293,58312505,58404534,58640932,58647008,58747822,58771294,58799380,58896501,59032323,59141945,59159854,59673070,59708856,59762955,59804421,59926686,59946094,59983189,60036196,60145549,60181701,60433206,60603460,60663737,60670552,60689662,61028004,61158072,61209245,61459371,61660537,61866052,62238262,62303566,62377189,62415243,62559709,62656701,62714261,62746712,62974429,63103893,63205704,63747152,63847293,63995717,64088345,64372741,64498205,64514301,64662261,64725291,64884021,64911454,64936573,65100856,65223235,65358349,65454250,65977884,66017902,66070290,66078637,66134045,66238409,66328644,66420964,66430293,66950850,66978654,67064069,67172463,67300301,67487062,67714981,67979166,68077636,68170745,68254371,68326606,68326909,68386201,68673059,68748056,68802831,68911341,69003460,69028635,69276377,69379054,69427155,69975006,70276575,70357821,70474976,70559256,70590051,70789893,70799380,70861821,70931614,70942612,70970334,71007005,71106417,71146375,71282869,71414240,71508093,71607684,71715546,71758429,71937861,72093604,72199102,72309449,72524566,72567389,72593860,72724152,73008501,73056916,73238463,73424045,73451094,73630544,73666222,73775062,74055632,74490766,74495710,74566294,74569395,74961680,75865755,76001182,76106404,76227545,76398261,76409086,76423961,76542334,76610692,76685662,76834109,76906014,77012773,77341563,77397846,77789494,78085156,78267882,78280701,78477037,78545100,78606766,78831574,79013405,79043357,79284348,79360854,79379163,79409945,79532062,79540688,79676557,79743928,79824121,79870709,80272037,80341020,80415934,80538670,80923472,80924677,80968893,81379289,81452542,81466084,81475081,81772383,81804894,81814671,81977573,82051672,82651375,82804152,82834362,83312586,83314372,83405981,83772760,83781440,83925460,83992132,84035775,84140345,84331890,84497134,84532205,84959256,85208406,85368093,85375650,85507981,85690270,85697088,85987342,86117182,86457752,86528164,86875805,87112632,87430461,87524453,87579094,87760941,88108854,88125796,88359992,88534969,89110270,89328589,89394852,89483274,89600541,89638160,89669086,89711919,89731221,89954016,89963470,89992293,90316375,90366905,90394009,90967893,91038906,91067360,91090109,91446041,91473054,91636301,91679901,91699534,91873581,92002846,92308131,92677179,92924566,92990235,93154671,93176050,93287301,93369070,93407979,93470552,93479181,93537814,93798501,94052446,94244355,94254120,94255414,94365652,94562421,94816086,95161395,95291934,95343757,95579163,95701821,95771662,95947693,96142821,96393197,96409224,96479062,96501305,96646404,96695332,96742613,96805501,97264971,97348075,97609870,97642774,97645893,97699414,97791653,97886509,98001711,98104370,98205981,98330181,98374395,98959813,99052654,99181650,99189584,99197614,99246229,99377413,99404991,99443661,99813093,...,6149722691791844596625707186631566979860004403798021709348792271955736256956047484522726877614670830840105443038274437022332367916615208843117372089759102880065650196557899386172407056798916021766617925435120723566927320230660378757073783862346008871681019953689002494878853051456340315184781948941672186618679126359284820872293635189965939826045799735108374882658585923206570407462676964746017134230123326075493722685623699218859226270196103637849151312253067189423843555821966721712808034311200969419730025243255023548614377322725296611966081334660439335416776900428512092760284682042755780810241311786298842737356802040785697105623865407721670319863002901933740336035298117056373267302786688356702034501159229796105912100970452742201880596667377133500669224660495076134309433395008950081280923284672624572446776485489525307528713408927444655728452434511092860601958584221954715733577328966905847736439644479693289590137829076944214775103517701198987534158879739796210766592512157399139410982957798991926341397360398642602362938806599762551789615321200046909085312691550203785300970452076245764378598575641322651622706766873772901228641900418048883174246456888371470837192946350772174194939091550554833717780347740326380675909433192274182356904732482117924495983111240393795387590202568541038770919080474010999113330052549133918744978959711124134742635748484265363016040678131165182573898250739443519508268161342265131317313745155172926906274306966754172138612013119410938325842766453273943959493309849535848958617036958846450576982910801644059875972985712013466770438706383477743664573910766084148931041850692452068205101107824192853407268066022643193404079187265783404112969469465226139632094574318762341157712990506054917791674795897734875094934983124180736794602580813623822469631643281165511924352141596768422671039863896731722876231365472090571340275725344217012082692116188469625419297530762424100109484466426993154796397203575737092350088434071860884860690731868642890678863395982751696217288668802505220905144886360133869393725737304882899035165746651587879042380665155584682769113505925051104433235575779508333139064810033969144783991726996979796647870842661209452630428187856794916461510461043287832987913291537567166371962275388929797777638361724785742500076166608304202710416656807519287286890921646979674084247575007770352101976559870341545696300366824790322369490506341220930104016498469627094399694273943848559418133431844496352258644643}
15436  1857381233579061576461383752660448291697454324362444350913842874: {215978,308540,354499,370248,416529,815299,907243,1171388,1323626,1640203,1875506,1909724,2095963,2096168,2242706,2277763,2358189,2524124,2549923,2640499,3158186,3573032,3628028,3887978,3990499,4019661,4207749,4362524,4484828,4796978,4978346,5009225,5095868,5324299,5412643,5765299,5784008,5883026,5934005,6011070,6193724,6292123,6315548,6411808,6507009,6519848,6924188,6990523,7120806,7164403,7213284,7323026,7334829,8287603,8459323,8477150,8542005,8723912,8801899,9111472,9465746,9653299,9814401,9955388,9991843,10076299,10172580,10250406,10559228,10573318,10581523,10850752,11235506,11412141,11644124,11667283,11833243,12125468,12207096,12385832,12397805,12640946,12904963,13721083,13732983,13890849,13934061,14165468,14524508,14558378,14610499,14877366,15091963,15104740,15437805,15744993,15888643,16033352,16094045,16286378,16434524,16466992,16536725,16913563,16991899,17018105,17110149,17148668,17407221,17460403,17711150,17742908,17848843,17999978,18037521,18081043,18125688,18158299,18170546,18188565,18525366,18810524,19312854,19401136,19844070,19990843,19993724,20141683,20159909,20177601,20369225,20391368,20391399,20421726,21055868,21167008,21189499,21253380,21560299,21578200,21610113,21634243,21644828,21826278,22053866,22074605,22197669,22223203,22306605,22588963,22670272,22820348,22940289,23378929,23793712,23812884,24007208,24109724,24225773,24275475,24390763,24443070,24548645,24816499,25046565,25161788,25295165,25504056,25532978,25697066,25726325,25787229,25869499,25893840,26072608,26286163,26489526,26562499,26631403,26716336,26767926,26909468,27008109,27181761,27316483,27620096,27656323,27722588,27994363,28178709,28676662,28692063,28787378,28799870,28899375,29130570,29196403,29331684,29458374,29752466,29919499,30037148,30055878,30089405,30310243,30354198,30383228,30569299,30826000,30871590,30921693,31072608,31190378,31195688,31211899,31225173,31275763,31304405,31349426,31535150,31877565,32099443,32224124,32430093,32626472,32786899,32929696,32931986,33398470,33484988,33712989,34002736,34054952,34316899,34421793,34500146,34559844,34602405,34679250,34956684,35095149,35123378,35154043,35272483,35345661,35481128,35653724,35926701,35963205,36107286,36135950,36325483,36337749,36366605,36438766,36441043,36517226,36539061,36676988,36704781,36728683,36900403,36909232,36957499,36975741,36991200,37045908,37172825,37298563,37439978,37524499,37565286,37842180,38139883,38253078,38311821,38360752,38602748,38855923,38893057,39054524,39236443,39247269,39457280,39731228,39739205,39875306,39916269,40078164,40251499,40304203,40364992,40534205,40744124,40802433,40966660,40978325,40979705,40997462,41079146,41305724,41343163,41460981,41496523,41522886,41615100,41754428,41870408,42003043,42053299,42103483,42314588,42380165,42501381,42570986,42577448,42798499,42833153,43092043,43097468,43155846,43259225,43363140,43575523,43639926,43741222,43986453,44051803,44240299,44389440,44607390,44622753,44927978,45119923,45347083,45410616,45662083,45840499,45914029,46254016,46405581,46886803,47104209,47248106,47348736,47430524,47581216,47602843,47679026,47687046,47712100,47801733,47822378,47899629,47965586,48161805,48217363,48360665,48545189,48574325,48618043,48641046,48927989,48933403,48972499,48974108,49106066,49159992,49173990,49175646,49420501,49512283,49739299,49846445,49938120,50074963,50341893,50477299,50659178,50856198,51086943,51277724,51316132,51372592,51387068,51496243,51529445,51833563,51911070,52032499,52035768,52055380,52069281,52196299,52208565,52228843,52245249,52364825,52447533,52452256,52708363,52957483,53086733,53122325,53171683,53213901,53267328,53513313,53528868,53574905,53575826,53589499,53706283,53735299,53879299,53893148,54124178,54189763,54679003,54819005,54901005,54903373,54942386,55080861,55193948,55205672,55304991,55369123,55371808,55466899,55561510,55563523,55689136,55778758,55915603,55938499,56074363,56166524,56180385,56251483,56273299,56402683,56813468,56831378,56906825,56963249,56965226,56991499,57086899,57254083,57254520,57292232,57450499,57465501,57553963,57701633,57794166,58017499,58032798,58211228,58247323,58289190,58315363,58425788,58433299,58508683,58523800,58540239,58561072,58571493,58605163,58680392,58773643,58836499,58854524,58896763,58901765,59008788,59070499,59291899,59349866,59389724,59431363,59514163,59519563,59527123,59531803,59542243,59549299,59555203,59561899,59815734,59925744,59930825,59937845,60134378,60154549,60341541,61071488,61096988,61301426,61420641,61665604,61739349,61835334,61944746,62106381,62175136,62196725,62293284,62466456,62487460,62584124,62650278,62837790,63079413,63536828,63633633,63706325,63746790,63793301,63901149,63979178,64289886,64411335,64426726,64453761,64592348,64603941,64643465,64798678,65591470,65749724,65782806,65839275,65881206,66015441,66593426,66673812,66960968,67026976,67321724,67416462,67457949,67996576,68179946,68288190,68300978,68705424,68842829,69024146,69201305,69350270,69383786,69598102,69632205,69702728,69775937,69947028,70228560,70274763,70682118,70691378,70808038,71070152,71375228,71397266,71748266,71795213,71864978,71916990,71925414,72406748,72446378,72453633,72530961,72612668,72840736,72921308,73024178,73116968,73301165,73308760,73499225,73946081,74274352,74339349,74622866,74636070,74910464,74984952,75045245,75331089,75405348,75650533,75655221,75747506,75754325,75783093,75838190,76095393,76223553,76265453,76285005,76447590,76496148,76516808,76602524,76711456,77293602,77314993,77332565,77572158,77617724,77872712,77953586,78111501,78191789,78415569,78433390,78528668,78709764,79007130,79570346,79611808,79683940,79739228,79902248,79953921,80075733,80242268,80439189,80577608,81154706,81180861,81370672,81376070,81544096,81675626,81786733,81945828,82078161,82256589,82472355,82910805,82911146,83026205,83041566,83220324,83542268,83558646,83569281,83634694,83723306,84138524,84274272,84326378,84358071,84468053,84725546,85091613,85097045,85129724,85319978,85418546,85935070,86019068,86081409,86216348,86254325,86300388,86512028,86686826,86790886,87359666,87606801,87961398,87970512,88093720,88121733,88156941,88199070,88436686,88438192,88499225,88573724,88678265,88739781,88817302,89140469,89150378,89267800,89304872,89509605,89563284,89890029,89919141,90054294,90071978,90117005,90436586,90618026,90638888,90649809,90742325,90905190,90979178,91005828,91034493,91321145,91542006,91737108,91816102,91881788,92038180,92225066,92569540,92799078,93199997,93300008,93357393,93455349,93582853,93702100,93810428,94040978,94079008,94120068,94386524,94482428,94627112,94808556,95133005,95216306,95344124,95381906,95476912,95620728,95763365,95917148,96127369,96605546,96869213,96965536,97344668,97367181,97606445,97639826,97651284,97718378,97934792,98181375,98510093,98551193,98966826,99026853,99105435,99259178,99425860,99492966,99631446,99635378,99679910,99710186,...,8199630255722459462167609582175422639813339205064028945798389695940981675941396646030302503486227774453473924051032582696443157222153611790823162786345470506754200262077199181563209409065221362355490567246827631422569760307547171676098378483128011828908026604918669993171804068608453753579709265255562915491572168479046427829724846919954586434727732980144499843544781230942093876616902619661356178973497768100658296914164932291812301693594804850465535083004089585898458074429288962283744045748267959226306700324340031398152503096967062149288108446213919113889035867238016123680379576057007707746988415715065123649809069387714262807498487210295560426484003869244987114713730822741831023070382251142269379334878973061474549467960603656269174128889836178000892299547326768179079244526678600108374564379563499429929035313986033743371617878569926207637936579348123814135944778962606287644769771955874463648586192639591052786850438769258953033471356934931983378878506319728281022123349543198852547977277065322568455196480531523469817251742133016735719487094933395878780416922066938380401293936101661019171464767521763535496942355831697201638189200557398510898995275851161961116257261801029565593252122067406444957040463653768507567879244256365576475872976642823899327977481653858393850120270091388051694558773965347998817773403398845224993305279614832179656847664645687150688054237508220243431864334319258026011024215123020175089751660206897235875032409289005562851482684159214584434457021937698591945991079799381131944822715945128600769310547735525413167963980949351289027251608511303658219431881021445531908055800923269424273468143765590471209690754696857591205438916354377872150625959286968186176126099091683121543617320674739890388899727863646500126579977498907649059470107751498429959508857708220682565802855462357896894719818528975630501641820629454095120367633792289349443589488251292833892396707683232133479312621902657539728529604767649456466784578762481179814254309158190520905151194643668928289718225070006961206859848480178492524967649739843865380220995535450505389840886874112910358818007900068139244314101039344444185419746711958859711988969329306395530494456881612603507237583809059888615347281391050443983884388716756221829283033851906397036851148966380990000101555477738936947222209076692383049187895529306232112330100010360469469302079827122060928400489099720429825987341788294573472021997959502792532925698591798079224177909125995136344859524}
15437  1865665135562135729245228703916959798883283358806652738187672965: {323967,385675,462810,493664,555372,1464235,1757082,1834147,1985439,2204059,2387155,2620210,2813259,2864586,3126403,3144252,3155155,3364059,3729946,3786186,4466290,4535035,4604899,4737279,4974523,5061007,5359548,5442042,5453155,5606035,5610332,5704867,5831967,6369835,6543786,6727242,7195467,7230010,7276159,7467519,7587763,7633423,7643802,7742155,7792906,7894435,7972538,8014760,8141839,8149810,8199139,8655235,8676012,8824539,8901778,8962459,9016605,9290586,9395347,9473322,9494408,9617712,9675907,9779772,10386282,10681209,10819926,10837603,10904890,10968079,10984539,11240587,11319583,11389340,11978683,12283027,12405146,12444235,12715725,13085827,13085868,13199035,13563440,13667208,13823923,13875466,14029183,14198619,14408618,14496739,14555155,14933082,15156835,15216188,15258870,15375609,15407083,15482290,15838842,15859977,15899818,15927283,16276128,16356043,16853259,16975994,17217439,17466186,17706835,17842447,18030463,18155635,18188202,18310644,18521132,18526243,18578748,18725059,18880925,18961419,19034059,19836488,20041690,20520922,20543155,20583740,20819498,20937043,20993324,21006307,21248202,21372703,21435538,21435835,21786762,21837567,22178635,22316049,22378063,22657110,22813532,23040523,23195803,23209628,23299603,23373823,23376794,23513155,24050028,24167584,24251420,24362546,24429567,24651786,24700488,24992155,25039003,25119482,25489210,25723002,25750472,25864114,25921339,26262139,26302723,26319835,26369563,26458760,26566725,26614362,26903468,26972750,26999967,27056035,27188532,27226147,27228968,27255819,27296227,27366559,27788049,27854347,28030783,28215786,28337840,28525435,28548163,28813484,28969281,29101704,29132402,29266879,29404747,29546906,29577523,29596892,29742140,29752394,29766105,29798083,29990586,30009010,30137155,30587052,30632589,30810154,31045987,31452235,31583802,31750512,31880070,32295578,32339659,32367300,32467242,32590760,32739417,33080799,33331903,33395420,33565658,33636835,34005408,34048603,34230522,34382972,34525120,34653235,35118739,35319368,35572099,35690568,35719326,36010812,36164586,36242348,36636607,36664605,37255267,37445242,37546435,37571612,37670527,37742682,37823539,37951903,37979035,38049343,38256084,38299467,38532500,38545599,38681443,38840760,38939659,38994610,38996347,39078554,39108912,39195523,39277832,39538339,39734289,39926623,40074504,40151889,40269283,40280155,40364202,40472264,40736947,40783090,40952426,41024282,41162120,41228924,41430144,41583882,41633564,41856235,41868634,42058418,42108763,42503420,42512863,42568690,43014993,43064779,43181067,43199805,43226539,43240124,43397042,43695855,43948243,43997526,44187561,44351410,44567155,44628699,44653327,44834203,44950652,44951018,45055722,45083817,45531297,45574842,45846235,45895724,46075018,46079792,46136540,46159003,46239000,46307385,46378363,46385554,46608912,46785567,46793532,47024139,47127548,47302725,47902268,47950940,48137827,48143048,48253435,48304963,48336186,48360139,48450332,48718748,48727994,48818155,48939708,49300988,49321600,49394544,49397979,49509499,49664035,49959787,50087048,50097705,50130703,50227482,50456240,50746783,50930155,51004104,51082428,51119503,51208325,51240938,51345343,51632155,51750219,51835459,51839766,52018875,52110139,52193035,52329692,52338010,52435026,52685067,52893235,53008399,53221692,53221810,53325439,53437552,53480586,53871835,54160929,54203925,54403244,54658149,54775839,55015482,55258783,55281308,55363848,55486800,55568862,55855243,56159967,56347929,56465834,56668508,56760602,56763270,57172363,57379617,57541128,57622819,57633979,57817520,57880603,57904122,58037323,58186568,58526122,58528459,58581786,58590847,58629787,58648604,59185920,59288155,59476520,59497004,59596842,59640125,59712607,59812959,59935082,59953946,60117246,60155707,60547488,60643939,60671683,60844123,60989887,61116186,61217635,61449990,61496193,61549339,61618719,61762459,61874108,61958586,62186383,62255947,62284329,62422650,62631642,62805612,63131648,63401594,63414979,63471882,63582728,63735644,63856479,63866172,63914947,63977347,64009066,64097155,64121023,64145165,64215740,64233835,64646202,64667642,64733769,64847443,64854728,64990058,65044710,65069225,65459889,65546656,65565320,65567528,65611833,65934139,65993818,66584160,66911085,66952207,67072843,67122524,67366435,67391967,67561483,67808264,68012347,68088298,68115924,68138623,68317603,68948227,68992435,69007090,69214760,69381024,69388106,69425708,69611420,69660332,69791443,69914467,69930044,70208155,70335487,70505407,70872159,70951868,71016835,71023104,71145786,71199338,71308639,71351084,71371824,71518539,71530569,71568150,71615290,71724146,71733567,71948379,72319003,72576883,72764035,72777343,72824107,72961569,73012159,73032235,73154750,73201340,73350490,73441148,73461162,73568155,73659099,73739988,73760985,73763469,73784714,73812163,74004367,74008843,74031163,74237155,74907180,75249163,75988767,76011098,76284297,76339360,76371235,76620668,76916586,76974198,77058888,77080602,77082005,77352754,77368147,77377064,77383418,77426539,77718920,77866605,78053652,78083070,78095324,78109325,78141763,78230155,78590467,78678384,78755743,79291327,79309027,79421035,79505683,79524202,79754312,79900992,79926523,80028223,80282539,80293302,80363739,80384347,80426426,80455388,80693114,80740435,80816443,80839722,81136147,81186267,81637507,81694579,81894188,82187155,82319132,82413579,82447112,82568959,82790922,82798723,82808508,82993123,83057712,83288608,83342265,83533704,83542298,83668137,83701210,83783720,83785306,84103939,84105884,84152155,84249786,84286963,84494623,84844844,84995720,85011007,85014634,85201532,85220202,85247067,85447839,85692943,85709803,85719848,85744783,85881780,85938348,85976479,86118322,86138588,86410507,86635867,86691249,87049197,87128410,87316842,87433785,87638682,87710408,87721546,87785700,87841608,88020588,88123802,88281786,88513182,88837690,88898416,88915627,89024799,89084586,89219035,89267263,89526943,89554874,89723601,89723683,89888616,89943932,90201567,90297487,90459122,90508435,90765835,90803947,90953323,91035194,91035643,91050920,91102363,91104847,91151635,91312529,91396210,91458019,91607232,91635950,91645482,91917283,91952139,92056298,92498406,92587663,92753001,92842940,92917119,93262704,93439926,93638080,93699684,93731190,93876186,93915667,93949663,93975417,94124707,94242824,94256685,94945594,95305242,95439043,95620185,95646010,95753155,95889320,95900552,95968767,96172682,96405823,96434829,96437827,96535363,96604844,96640089,96707948,96888522,97022155,97198017,97340890,97468027,97534426,97695103,98160835,98194939,98387205,98487679,98624586,98674209,98821809,98884138,99119132,99400003,99409807,99514760,99604925,99660763,99674035,99877810,99884059,99890139,99979936,...,12299445383583689193251414373263133959720008807596043418697584543911472513912094969045453755229341661680210886076548874044664735833230417686234744179518205760131300393115798772344814113597832043533235850870241447133854640461320757514147567724692017743362039907378004989757706102912680630369563897883344373237358252718569641744587270379931879652091599470216749765317171846413140814925353929492034268460246652150987445371247398437718452540392207275698302624506134378847687111643933443425616068622401938839460050486510047097228754645450593223932162669320878670833553800857024185520569364085511561620482623572597685474713604081571394211247730815443340639726005803867480672070596234112746534605573376713404069002318459592211824201940905484403761193334754267001338449320990152268618866790017900162561846569345249144893552970979050615057426817854889311456904869022185721203917168443909431467154657933811695472879288959386579180275658153888429550207035402397975068317759479592421533185024314798278821965915597983852682794720797285204725877613199525103579230642400093818170625383100407570601940904152491528757197151282645303245413533747545802457283800836097766348492913776742941674385892701544348389878183101109667435560695480652761351818866384548364713809464964235848991966222480787590775180405137082077541838160948021998226660105098267837489957919422248269485271496968530726032081356262330365147796501478887039016536322684530262634627490310345853812548613933508344277224026238821876651685532906547887918986619699071697917234073917692901153965821603288119751945971424026933540877412766955487329147821532168297862083701384904136410202215648385706814536132045286386808158374531566808225938938930452279264189148637524682315425981012109835583349591795469750189869966248361473589205161627247644939263286562331023848704283193536845342079727793463445752462730944181142680551450688434024165384232376939250838595061524848200218968932853986309592794407151474184700176868143721769721381463737285781357726791965503392434577337605010441810289772720267738787451474609765798070331493303175758084761330311169365538227011850102208866471151559016666278129620067938289567983453993959593295741685322418905260856375713589832923020922086575665975826583075134332743924550777859595555276723449571485000152333216608405420833313615038574573781843293959348168495150015540704203953119740683091392600733649580644738981012682441860208032996939254188799388547887697118836266863688992704517289286}
15438  1873985690781967951562007195617522738142033622961544612591592428: {169697,431956,569837,617080,694215,708998,723377,740496,833058,937997,1213361,1366061,1630598,1640417,1670861,1814486,2005217,2126561,2278061,2308337,2342776,2550257,2635623,2647252,2731361,3002477,3212897,3280406,3632561,3751012,3811937,3819448,3930315,4191926,4192336,4199597,4296879,4485412,4555526,4645217,4716378,4793357,5000417,5048248,5089037,5099846,5236577,5280998,5594919,5679279,6316372,6322157,6699435,7012915,7146064,7256056,7281137,7338977,7454561,7598861,7775956,7980998,8039322,8059277,8145377,8163063,8307607,8415498,8460461,8489057,8717537,8725048,8969656,9002417,9144557,9484877,9593956,9739361,9815679,9956692,10018450,10090863,10190177,10191736,10330637,10648598,10825286,10845015,10862561,11280461,11465703,11530598,11568016,11689359,11766052,11834861,11862497,11868010,11958807,12022140,12224715,12387448,12584246,12631096,12769997,12823616,12824717,12906737,13014018,13039696,13342961,13352667,13848376,13935879,13981046,14128397,14209983,14236675,14241612,14316977,14328806,14426568,14646052,14669658,14692961,14853617,15094061,15120737,15360461,15579423,15652577,15732077,15996557,16229889,16357335,16575206,16915937,16918646,16954300,17084010,17306957,17356927,17447824,17488817,17603798,18109361,18222944,18238061,18607719,18931492,19020235,19235057,19306598,19412717,19628802,19766861,19910776,19983686,19993697,20018861,20144561,20152598,20345160,20500812,20545457,20813199,21118456,21146636,21163046,21291617,21612927,21637361,21701504,21883361,22104077,22226417,22250861,22399623,22471012,22531663,22824282,22835117,22888305,23151415,23223435,23288248,23334566,23462861,23666486,23758263,23825347,23846477,23849727,23918177,24061361,24250936,24414192,24418061,24678497,24771664,24795610,25102577,25266797,25281892,25383857,25463991,25729675,25733837,25809926,26199279,26241655,26313137,26727137,26841677,27070157,27184097,27282303,27320561,27442166,27465966,27781698,27868122,27998561,28133297,28330936,28334861,28468877,28516915,28630459,28891361,29012035,29049016,29116756,29220998,29354957,29683937,29754732,29858657,30062535,30076337,30183926,30209480,30314275,30336497,30638561,30781383,30875610,30904447,31174061,31229247,31489986,31683437,31777286,31872303,31915361,32066704,32153307,32188090,32563757,32572756,32667617,32680143,32750561,32854061,32869048,32933984,33073450,33470861,33552557,33629335,33827126,33857777,33959117,33983798,33985665,34036210,34220298,34297336,34368103,34382561,34802477,34814442,34882061,34920806,35060657,35065191,35297777,35356877,35396237,35413231,35422300,35485816,35572961,35697686,35749037,35982797,35999956,36016855,36075042,36162086,36251376,36316598,36331277,36341092,36377130,36543819,36619697,36977679,36996115,37050732,37177675,37323437,37621048,37661837,37679223,37885997,38233815,38330861,38584503,38588237,38625708,38796171,38802272,38880461,39043937,39688140,39921543,39981686,39987448,40222961,40283366,40310861,40319818,40328417,40355202,40459125,40738450,40782736,40782798,40834061,40843452,41418317,41503457,41520461,41744275,41774561,41875697,42026861,42111736,42125167,42127277,42323679,42334016,42377057,42378998,42506760,42674417,42756557,42871217,42920237,42978715,43099361,43120598,43156400,43220226,43268486,43289656,43582961,43652556,43698603,43742561,43826167,43917197,44107732,44149210,44320359,44388557,44395338,44446406,44613210,44621537,44628591,44914061,44985879,45013515,45082097,45142961,45177926,45302935,45340544,45354977,45505457,45640696,45759437,45880578,45952097,46215231,46680497,46757858,46766561,46909361,46964515,47037197,47375703,47486477,47587424,47625197,47625768,47818061,47820105,48014416,48165625,48219448,48443367,48451546,48507377,48550950,48700863,48781526,48886140,48903137,49097290,49098317,49521377,49534061,49632998,49798577,50093130,50096561,50158061,50207117,50323576,50348487,50590330,50620999,50642861,50773937,50913247,50986337,51008112,51056561,51065956,51242417,51345783,51394132,51452650,51471857,51536155,51574458,51686861,51738998,51787680,51843437,51921137,52041955,52145216,52238861,52249697,52400561,52572326,52623917,52729037,52760417,52979052,53070257,53090657,53124998,53129275,53131361,53262806,53372897,53432672,53535852,53541197,53578989,53629361,53716877,53818936,53956577,54016218,54050155,54200561,54246879,54348017,54363522,54529457,54632966,54684223,54690017,54795617,55011917,55240192,55289777,55306337,55312646,55331117,55380461,55445176,55462061,55574957,55634887,55670477,55702061,55927217,55988726,56093537,56167863,56188315,56357418,56371697,56614023,56652017,56747887,56787377,56853857,56926061,56965037,57266477,57272561,57308897,57326957,57353324,57362861,57369655,57371587,57384126,57445517,57503597,57532337,57572237,57574756,57599740,57600497,57650861,57670675,57787361,57798750,57814061,57823987,57835277,57913697,58020461,58218737,58261140,58265057,58278797,58328561,58346417,58372961,58392806,58459361,58491915,58526177,58546637,58582961,58617831,58663368,58665197,58721777,58790861,58812077,58839917,58909435,58910561,58916748,58930097,58939757,59023457,59032397,59052977,59092961,59160461,59210861,59225357,59232497,59260337,59320817,59332231,59332961,59342861,59360177,59424557,59446061,59447537,59460461,59504932,59529137,59530061,59549837,59557361,59557997,59573357,59578061,59581517,59838998,59877835,59938675,60074296,60111756,60178810,60546303,60562915,60620486,60708396,60766456,60898435,61138598,61174635,61428639,61536423,61626235,61652000,61743180,61843386,62145216,62375823,62380756,62391376,62423798,62450346,62551526,62608810,62698852,62802951,63070300,63087627,63755130,63853035,64198886,64448248,64860186,65095563,65252944,65412115,65573798,65859392,65863972,65996289,66527115,66796940,66969976,67425978,67426527,67583583,67704931,68004055,68005472,68109904,68192839,68362263,68633798,68843586,69000292,69101635,69112527,69119688,69204810,69358500,69578331,69785023,69913368,70190298,70246756,70308086,70544966,70691322,70835635,70962256,71307448,71853402,71926410,72141223,72214572,72271900,72504279,72650966,72675498,72733210,72877532,72882086,73034452,73078122,73091991,73310755,73353976,73409562,73457366,73800806,73818464,73914998,73951482,73982400,74091816,74345650,74371255,74597126,74879956,75004867,75048998,75130572,75341223,75392083,75684360,76279766,76506156,76623642,76721504,76746607,76861407,77205496,77342635,77711846,77759649,77786114,78109048,78472886,78494538,78507015,78652539,78914560,79462456,79478410,79669555,79750612,79832538,79832715,79985719,80156328,80220879,80269675,80502998,80608406,80729984,81068410,81359707,81488248,81604866,81933320,81956650,81959410,81994924,82158292,82462471,82523223,82611448,82686326,82921962,82993046,83045772,83230200,83353293,83508856,83740816,83903155,83912983,84006086,84106598,84206966,84629176,84698751,84760330,85002762,85140903,85141972,85144905,85154896,85596998,85666306,86184086,86194936,86311692,86518450,86726280,86782135,86856183,87014275,87075415,87151046,87279852,87390823,87412555,87482444,87789183,87872679,87972906,88103606,88480598,88689835,88778880,89188855,89214780,89245506,89395263,89855956,89902623,89930919,90131899,90175869,90239846,90500851,90694166,90821232,91324166,91501675,91674279,91680998,91801435,91828058,92174985,92508032,92811162,92937879,93633975,93773606,93947463,94208418,94405471,94496212,94697472,94861048,95102391,95162432,95205686,95207823,95358052,95374092,95424200,95603466,95644756,95775835,95799258,95931172,96013599,96323610,96434726,96721330,96881827,96969303,97001463,97090378,97148650,97236086,97282092,97485087,97567065,97619155,97855978,97866806,97944998,97948216,98212132,98319984,98347980,98351292,98841002,98990727,99024566,99478598,99627583,99692890,99876240,...,18449168075375533789877121559894700939580013211394065128046376815867208770868142453568180632844012492520316329114823311066997103749845626529352116269277308640196950589673698158517221170396748065299853776305362170700781960691981136271221351587038026615043059861067007484636559154369020945554345846825016559856037379077854462616880905569897819478137399205325124647975757769619711222388030894238051402690369978226481168056871097656577678810588310913547453936759201568271530667465900165138424102933602908259190075729765070645843131968175889835898244003981318006250330701285536278280854046128267342430723935358896528212070406122357091316871596223165010959589008705801221008105894351169119801908360065070106103503477689388317736302911358226605641790002131400502007673981485228402928300185026850243842769854017873717340329456468575922586140226782333967185357303533278581805875752665864147200731986900717543209318933439079868770413487230832644325310553103596962602476639219388632299777536472197418232948873396975779024192081195927807088816419799287655368845963600140727255938074650611355902911356228737293135795726923967954868120300621318703685925701254146649522739370665114412511578839052316522584817274651664501153341043220979142027728299576822547070714197446353773487949333721181386162770607705623116312757241422032997339990157647401756234936879133372404227907245452796089048122034393495547721694752218330558524804484026795393951941235465518780718822920900262516415836039358232814977528299359821831878479929548607546875851110876539351730948732404932179627918957136040400311316119150433230993721732298252446793125552077356204615303323472578560221804198067929580212237561797350212338908408395678418896283722956287023473138971518164753375024387693204625284804949372542210383807742440871467408894929843496535773056424790305268013119591690195168628694096416271714020827176032651036248076348565408876257892592287272300328453399280979464389191610727211277050265302215582654582072195605928672036590187948255088651866006407515662715434659080401608181177211914648697105497239954763637127141995466754048307340517775153313299706727338524999417194430101907434351975180990939389943612527983628357891284563570384749384531383129863498963739874612701499115886826166789393332915085174357227500228499824912608131249970422557861860672764940939022252742725023311056305929679611024637088901100474370967108471519023662790312049495408881283199082821831545678254400295533489056775933929}
15439  1882343060128684846173970174313758306741459296301548566450582766: {15439,539945,647934,771350,925620,987328,1063497,1110744,1249587,2049929,2445897,2604797,2721729,2928470,3309065,3342017,3514164,3668294,3970878,4408118,4417217,4688765,4774310,4920609,5240420,5559761,5606765,5626518,5729172,6252806,6264137,6287889,6288504,6310310,6349049,6728118,6833289,7074567,7459892,7572372,7634417,7649769,7848449,7895465,7921497,8111057,8480441,8599097,8917769,8932580,9070070,9209798,9474558,9719945,9949046,10122014,10591997,10719096,10814249,10839017,10884084,10906310,11052209,11212070,11220664,11321057,11409734,11663934,11971497,11992445,12058983,12117329,12445865,12563009,12623247,12739670,13087572,13338281,13377689,13454484,13728089,14390934,14460020,14552318,14707565,14777297,14935038,15027675,15175526,15203897,15266846,15287604,15484310,15585812,15788870,15929357,15945076,15972897,16029520,16237929,16283678,16299620,16358177,16398278,16495229,17219681,17295897,17310470,17352024,17421929,17649078,17801081,17802015,17803556,17924918,18033210,18307565,18367481,18478649,18581172,18790694,18876369,18946644,18988816,19048109,19235424,19329869,19351814,19521027,19559544,20377217,20705801,20772564,20971569,21192875,21219569,21308729,21362418,21493209,21639852,21675206,21809780,21936158,21969078,22004487,22380977,22481174,22494797,22639166,22778680,23302637,23376881,23652809,23664365,23957366,24436169,24566054,24789569,24810292,24862809,24888470,25258649,25375097,25377969,25417889,25431450,25626015,25924721,26171654,26171736,26373017,26398070,26405697,26433295,26823569,27126880,27152381,27229709,27334416,27623609,27647846,27750932,28058366,28073321,28088765,28374989,28397238,28760417,28817236,28959897,28993478,29110310,29397161,29443203,29591549,29866164,29975529,30010169,30099389,30228897,30313670,30432376,30517740,30751218,30814166,30964580,31020329,31050089,31131329,31164029,31602365,31677684,31719954,31744569,31799636,31854566,32342297,32552256,32712086,32864129,32918417,33127289,33706518,33951988,34176689,34236423,34434878,34932372,34989017,35001849,35123321,35318657,35413670,35499729,35684894,36060926,36276497,36311270,36376404,36395945,36621288,36847769,37042264,37052486,37157496,37193415,37450118,37540721,37761850,37878449,37922838,38054321,38068118,38219597,38286281,38374649,38714889,39200657,39392249,39672976,39935609,40083380,40260737,40274537,40715945,41041844,41086310,41163249,41167480,41198949,41403629,41638996,41672547,41802183,41874086,41986648,42012614,42114257,42192017,42265121,42282689,42496404,42745406,42871076,42871670,43075469,43232201,43573524,43675134,43806761,43831497,43953977,44033129,44162849,44277875,44357270,44632098,44659169,44756126,44852249,44999945,45275889,45314220,45426365,45529529,45627064,45722009,46019597,46081046,46313415,46391606,46419256,46599206,46747646,46753588,46896557,47026310,47044649,47091569,47186009,47234979,47665929,47926217,48100056,48282135,48335168,48502840,48514529,48725092,48840569,48859134,49303572,49400976,49610175,49618241,49984310,50078006,50238964,50425709,50740689,50975697,50978420,51054315,51063617,51330447,51446004,51500944,51695321,51728228,51834641,51842678,52221663,52381209,52524278,52559489,52565009,52605446,52639670,52739126,52917520,53133450,53170649,53228724,53546529,53806936,53945500,53999934,54112070,54112563,54243129,54377064,54397769,54452294,54457936,54474897,54511638,54551549,54565695,54592454,54652097,54733118,55100249,55133081,55134665,55576098,55708694,55837409,55942337,56061566,56392217,56431572,56675680,56857169,57050870,57096326,57619409,57626968,57938562,58203408,58264804,58304489,58533758,58579889,58598729,58809494,59093812,59146349,59155046,59193784,59245997,59484280,59504788,59532210,59596166,59972529,59981172,60018020,60274310,60425049,60479727,60532289,60532803,60801257,61107675,61174104,61174197,61265178,61557401,61620308,62039897,62091974,62394017,62904470,63167604,63501024,63568497,63760140,63812129,63832445,63923309,64090409,64184729,64242665,64591156,64679318,64680897,64734600,64830339,64855937,64902729,64934484,65181520,65478834,65527409,65640377,65794121,65927249,66161598,66223815,66294617,66593007,66663806,66669609,66790840,66819161,66919815,67131316,67232849,67273670,67554809,67766889,68010816,68097206,68326541,68345417,68404349,68461044,68765944,68820867,69050240,69169997,69306470,69529649,69648209,70136787,70237478,70344689,70481321,70638736,71144198,71302217,71381136,71438652,71650169,71691655,71968445,71999675,72021624,72285017,72329172,72484696,72677319,72826425,72833729,72991997,73070249,73172289,73273214,73329210,73645935,73725881,74014049,74018537,74050529,74381165,74449497,74510534,74827409,74890484,75092870,75139695,75143224,75341054,75420569,75485364,75647078,75885495,75903806,75958070,76098686,76512168,76598934,77065000,77091198,77178975,77361687,77362886,77608497,77681520,77879318,77924897,77975945,77989220,77992694,78002201,78157108,78217824,78373565,78391046,78497609,78555664,78600749,78837875,78858489,78902657,79076678,79468578,79516097,79687497,79845389,79853246,79894209,79989929,80149008,80303778,80538566,80560310,80728404,80827121,80944528,81024327,81391649,81473894,81545283,81566180,81904852,81945281,81949449,82048564,82324240,82329965,82457848,82860288,82968969,83003417,83003981,83167764,83267128,83384009,83496175,83712470,83737268,83983089,84116836,84217526,84536127,84917057,85006840,85022129,85025726,85137380,85169549,85438697,85704689,85756001,86029986,86076189,86129558,86250365,86287097,86362134,86399610,86453078,86480248,86698125,86794084,86961041,87391710,87589209,87808445,87896486,87995052,88160129,88255229,88375122,88592537,88702820,88930829,89134310,89257398,89306654,89428109,89668406,89736017,89758497,89803231,89841329,89890769,89901304,89902036,89927369,90099857,90111444,90167634,90268215,90339875,90930729,91062594,91096915,91149684,91293065,91692470,91707897,91791448,92150036,92159584,92273080,92318006,92478000,92614770,92756726,92765079,92771108,92838329,93002681,93074969,93217824,93571134,93587064,93599945,93635697,93675519,93827289,93913215,94048278,94121597,94255096,94259297,94313009,94578809,94605450,95632695,95804536,95901880,96275654,96286096,96298329,96450569,96506870,96576449,96589409,96609926,96672372,96720278,96900664,97290279,97437496,97455988,97581497,97636310,97879416,98021297,98106317,98207801,98214329,98291417,98360697,98601976,98643200,98789088,98795958,98959817,99018998,99254669,99328070,99376289,99423569,99673817,99688265,99919574,...,24598890767167378386502828746526267919440017615192086837395169087822945027824189938090907510458683323360421772153097748089329471666460835372469488359036411520262600786231597544689628227195664087066471701740482894267709280922641515028295135449384035486724079814756009979515412205825361260739127795766688746474716505437139283489174540759863759304183198940433499530634343692826281629850707858984068536920493304301974890742494796875436905080784414551396605249012268757695374223287866886851232137244803877678920100973020094194457509290901186447864325338641757341667107601714048371041138728171023123240965247145195370949427208163142788422495461630886681279452011607734961344141192468225493069211146753426808138004636919184423648403881810968807522386669508534002676898641980304537237733580035800325123693138690498289787105941958101230114853635709778622913809738044371442407834336887818862934309315867623390945758577918773158360551316307776859100414070804795950136635518959184843066370048629596557643931831195967705365589441594570409451755226399050207158461284800187636341250766200815141203881808304983057514394302565290606490827067495091604914567601672195532696985827553485883348771785403088696779756366202219334871121390961305522703637732769096729427618929928471697983932444961575181550360810274164155083676321896043996453320210196535674979915838844496538970542993937061452064162712524660730295593002957774078033072645369060525269254980620691707625097227867016688554448052477643753303371065813095775837973239398143395834468147835385802307931643206576239503891942848053867081754825533910974658295643064336595724167402769808272820404431296771413629072264090572773616316749063133616451877877860904558528378297275049364630851962024219671166699183590939500379739932496722947178410323254495289878526573124662047697408566387073690684159455586926891504925461888362285361102901376868048330768464753878501677190123049696400437937865707972619185588814302948369400353736287443539442762927474571562715453583931006784869154675210020883620579545440535477574902949219531596140662986606351516169522660622338731076454023700204417732942303118033332556259240135876579135966907987919186591483370644837810521712751427179665846041844173151331951653166150268665487849101555719191110553446899142970000304666433216810841666627230077149147563686587918696336990300031081408407906239481366182785201467299161289477962025364883720416065993878508377598777095775394237672533727377985409034578572}
15440  1890737405193032989302779324133067148709374457121339798172653332: {200551,339394,863912,971901,1029991,1139674,1157025,1213519,1234160,1388430,1417996,1446754,1480992,1666116,1671079,1875994,1944751,2308639,2426722,2490151,2732122,2761879,3032959,3261196,3280834,3341722,3393391,3628972,3662959,4010434,4253122,4392705,4556122,4616674,4685552,5100514,5266759,5271246,5294504,5462722,5502441,5531791,5708119,5956317,6004954,6147679,6425794,6550525,6560812,6612177,6847231,7161465,7265122,7502024,7623874,7638896,7860630,8383852,8384672,8399194,8439777,8490199,8593758,8970824,9088951,9111052,9174199,9290434,9324865,9379209,9432756,9465465,9514471,9586714,9768919,9818081,9938191,10000834,10092177,10096496,10178074,10199692,10444279,10473154,10561996,10696351,11115031,11165725,11189838,11358558,11531911,11864119,12632744,12644314,12771751,12853831,13181431,13398870,13589311,13605105,13814697,14025830,14211837,14292128,14318959,14512112,14560879,14562274,14677954,14721799,14882431,14909122,14923569,14962639,15122839,15183021,15197722,15551912,15681271,15961996,15998791,16078644,16118554,16290754,16326126,16359465,16615214,16818105,16830996,16920922,16978114,17114601,17435074,17450096,17495901,17939312,18004834,18075025,18266359,18289114,18343471,18969754,19109505,19187912,19478722,19482265,19631358,19913384,19931345,20021719,20036900,20181726,20374525,20380354,20383472,20661274,21297196,21586401,21650572,21690030,21725122,21738991,21828477,22254079,22254445,22402557,22560922,22763289,22900269,22931406,23061196,23136032,23226465,23378718,23532104,23669722,23683305,23724994,23736020,23917614,23921671,23993311,24044280,24064879,24425517,24449430,24597417,24774896,25168492,25262192,25410991,25539994,25647232,25649434,25813474,25965705,26028036,26079392,26473617,26628329,26685922,26705334,26868559,26887377,27049815,27210919,27262225,27696752,27871758,27962092,28159951,28186041,28256794,28361479,28419966,28473350,28483224,28495471,28633954,28657612,28853136,29027721,29292104,29339316,29359399,29385922,29707234,29884999,30015679,30146071,30188122,30241474,30664759,30720922,30729271,31012865,31050751,31158846,31305154,31464154,31679857,31688311,31993114,32004391,32043627,32067391,32411981,32459778,32512809,32568799,32714670,32879839,32904237,32953617,33150412,33557791,33721761,33831874,33835997,33837292,33908600,33958749,33984679,34166551,34168020,34227031,34588399,34613914,34688665,34713854,34895648,34977634,35207596,35421511,35891239,35936049,35949631,36021545,36218722,36240511,36445888,36476122,36738317,36849081,36874111,37215438,37332705,37498999,37780159,37862984,37892119,37947991,38040470,38147175,38470114,38613196,38705725,38825434,38832151,39050311,39257481,39257604,39429319,39533722,39597105,39749545,39821552,39923681,39967372,39987394,40037722,40289122,40305196,40335079,40440271,40616849,40690320,40858159,41001624,41090914,41220031,41471769,41527399,41626398,41781559,41933191,42087549,42236912,42293272,42326092,42439985,42583234,42595857,42681631,42730951,43225854,43274722,43403008,43413871,43490217,43510279,43665465,43750039,43766722,44208154,44411791,44452834,44501722,44598271,44644711,44799246,44921839,44942024,45063326,45332671,45470505,45648564,45670234,45776610,45782311,46126827,46180831,46221249,46302830,46446870,46573519,46576496,46669132,46703119,46874911,46925722,47081069,47215039,47332972,47508871,47516526,47579931,47650694,47692954,47699454,47781849,47836354,48085951,48122722,48288631,48501872,48828384,48836122,48885871,49068129,49120231,49356994,49543159,49543328,49591220,49882711,50104225,50179639,50205154,50423597,50533594,50559777,50563784,50652319,50767714,50927982,50972431,51007639,51077839,51147751,51302305,51459350,51467674,51619852,51652317,51696679,51794561,52048745,52129111,52259719,52398558,52483310,52626274,52770631,52833199,53080591,53120505,53232871,53454274,53527341,53588845,53649679,53683354,53967271,54091389,54140314,54358879,54368194,54466905,54564606,54641122,54884332,54919831,54931932,54971599,55023079,55200991,55325911,55350679,55522039,55563396,55578729,55689871,55736244,55830919,55877359,55992199,55997122,56014951,56060239,56175177,56266594,56642775,56661872,56664031,56669722,56765911,56786071,56884257,56937754,56944759,57033830,57041599,57102177,57174151,57260918,57284959,57685711,57782722,57783991,57848071,57926551,58024070,58033399,58098032,58222471,58233512,58236511,58291951,58386199,58425511,58441985,58441996,58476919,58514719,58564111,58576279,58624231,58682551,58709914,58739071,58825759,59075671,59249119,59303551,59335231,59347399,59367874,59462239,59509464,59539351,59545039,59553031,59573119,59576791,59596879,59597311,59597959,59598391,59717314,59824817,60125070,60152674,60170201,60367852,60418960,60628550,60672994,60906365,61117661,61277122,61562766,61629465,61751220,61808894,62348122,62458494,62798705,62811129,62979972,63018921,63366874,63424109,63554572,63723025,63744606,63830722,64118109,64133408,64306614,64307505,64376180,64626809,64660285,65127514,65145512,65335234,65360286,65501122,65512701,65708122,65738096,65750321,65867968,66146900,66535905,66941722,66948147,67105114,67134189,67258670,67431875,67654252,67715554,67918234,67967596,67971330,68072420,68440596,68594672,68736206,68765122,69121569,69587409,69604954,69628884,69764122,69841612,69898809,70121314,70121469,70130382,70539465,70595554,70713754,70792474,70826462,70844600,70971632,71145922,71395372,71498074,71965594,71999912,72033710,72150084,72150617,72324172,72502752,72633196,72662554,72682184,72754260,72831005,72858737,73087638,73239394,73288701,73867265,73955358,73992230,74101464,74355350,74380985,74646874,74976465,75022525,75117009,75242096,75323674,75358446,75670217,75771994,76285297,76467630,76661722,77025385,77169006,77176474,77251416,77592342,77604544,77760922,77764017,78087874,78663641,78786417,78908169,78959505,79108689,79376280,79700175,79843086,79963372,79974896,80317517,80445922,80566732,80591537,80621722,80639636,80656834,80710404,80738945,80918250,80999901,81168105,81476900,81565472,81565596,81668122,81678441,81686904,81767457,81888681,82099677,82473209,82836634,83006914,83040922,83364147,83422009,83488550,83549122,83563041,83751394,83828969,83914145,84053722,84092349,84223472,84250334,84254554,84647358,84668032,84754114,84757996,84788081,85013520,85257809,85348834,85513114,85576305,85644489,85742434,85840474,85957430,86198722,86241196,86276729,86312800,86440452,86536972,86579312,86907843,87165922,87305112,87397206,87485122,87652334,87800637,87834394,88214241,88215464,88298420,88640718,88732569,88777114,88790676,88892812,89226420,89243074,89257182,89298315,89394249,89513677,89828122,89971758,90027030,90164194,90285922,90355852,90411465,90605870,90681088,90709954,91010914,91281392,91518874,91576961,91761156,91897767,91904194,92430462,93137961,93360994,93515716,93533122,93613105,93818722,93929030,94074394,94356705,94528577,94751406,94972954,95174848,95205677,95250394,95251536,95636122,95640210,96028832,96152381,96331250,96438896,96742289,96886734,96903092,97014754,97018977,97101900,97401726,97486525,97563052,97696385,97772280,97806274,98194580,98196634,98218251,99042754,99068122,99169889,99242397,99265996,99597154,99995709,...,36898336150751067579754243119789401879160026422788130256092753631734417541736284907136361265688024985040632658229646622133994207499691253058704232538554617280393901179347396317034442340793496130599707552610724341401563921383962272542442703174076053230086119722134014969273118308738041891108691693650033119712074758155708925233761811139795638956274798410650249295951515539239422444776061788476102805380739956452962336113742195313155357621176621827094907873518403136543061334931800330276848205867205816518380151459530141291686263936351779671796488007962636012500661402571072556561708092256534684861447870717793056424140812244714182633743192446330021919178017411602442016211788702338239603816720130140212207006955378776635472605822716453211283580004262801004015347962970456805856600370053700487685539708035747434680658912937151845172280453564667934370714607066557163611751505331728294401463973801435086418637866878159737540826974461665288650621106207193925204953278438777264599555072944394836465897746793951558048384162391855614177632839598575310737691927200281454511876149301222711805822712457474586271591453847935909736240601242637407371851402508293299045478741330228825023157678104633045169634549303329002306682086441958284055456599153645094141428394892707546975898667442362772325541215411246232625514482844065994679980315294803512469873758266744808455814490905592178096244068786991095443389504436661117049608968053590787903882470931037561437645841800525032831672078716465629955056598719643663756959859097215093751702221753078703461897464809864359255837914272080800622632238300866461987443464596504893586251104154712409230606646945157120443608396135859160424475123594700424677816816791356837792567445912574046946277943036329506750048775386409250569609898745084420767615484881742934817789859686993071546112849580610536026239183380390337257388192832543428041654352065302072496152697130817752515785184574544600656906798561958928778383221454422554100530604431165309164144391211857344073180375896510177303732012815031325430869318160803216362354423829297394210994479909527274254283990933508096614681035550306626599413454677049998834388860203814868703950361981878779887225055967256715782569127140769498769062766259726997927479749225402998231773652333578786665830170348714455000456999649825216262499940845115723721345529881878044505485450046622112611859359222049274177802200948741934216943038047325580624098990817762566398165643663091356508800591066978113551867858}
15441  1899168888269405622811555794664628602274947034641489826483044510: {30878,509091,755923,1079890,1295868,1542700,1709511,1772495,1851240,1974656,2082645,2126994,2170131,2221488,2499174,2813991,2882231,3640083,4076495,4098183,4099858,4536215,4632691,4891794,4912919,4921251,5012583,5209594,5443458,5856940,6015651,6021791,6379683,6564271,6618130,6684034,6834183,6925011,7028328,7336588,7403071,7650771,7849471,7906869,7941756,7953011,8194083,8201015,8816236,8834434,8964791,9007431,9065299,9377530,9548620,9638691,9841218,10479815,10480840,10721951,10897683,11053651,11119522,11213530,11253036,11388815,11435811,11458344,11790945,11995379,12286223,12505612,12528274,12575778,12577008,12598791,12620620,12698098,12749615,12890637,12937103,13202495,13379431,13456236,13607923,13666578,13935651,14149134,14380071,14500511,14919784,15001251,15144744,15267111,15268834,15299538,15696898,15709731,15763423,15790930,15842994,16222114,16784757,16789423,16960882,17030519,17037837,17198194,17424211,17632831,17803399,17835538,17865160,18140140,18419596,18949116,18966471,19332391,19439890,19898092,19952495,20098305,20244028,20590591,20842163,21038745,21183994,21289063,21438192,21628498,21678034,21707023,21768168,21812620,21843411,22016931,22045859,22104418,22363683,22424140,22441328,22642114,22796583,22819468,23327868,23606783,23942994,23984890,24117966,24177831,24234658,24436131,24439351,24489189,24891730,24922821,25046125,25126018,25246494,25381383,25467171,25479340,25630591,25818479,26152611,26175144,26621495,26676562,26755378,26908968,27007251,27063215,27433671,27456178,27627223,28038131,28454631,28781868,28826495,28920040,29024959,29104636,29218083,29415130,29447037,29554594,29670025,29870076,29979283,29988751,30055350,30272589,30351052,30407794,30533692,30570531,30575208,30968620,30991911,31168111,31171624,31378463,31460615,31577740,31713223,31858714,31890152,31945794,32059040,32475858,32535045,32567356,32587683,32599240,32716354,32796556,32990458,33009911,33130111,33841383,34397109,34439362,34591794,34620940,34704048,34843858,34952615,35068077,35298156,35504583,35587491,35602162,35603423,35604030,35607112,35822015,35849836,35876421,36066420,36615130,36674145,36734962,36896903,36957298,37006613,37162344,37545619,37581388,37752738,37893288,37977632,38096218,38309991,38470848,38474151,38659738,38703628,38720211,39042054,39119088,39324271,40028883,40058001,40754434,41409031,41411602,41438015,41545128,41740231,41807637,41943138,42296615,42385191,42385750,42439138,42617458,42629949,42710025,42724836,42894071,42950931,42986418,43279704,43350412,43619560,43812499,43872316,43938156,44008974,44009495,44078883,44168611,44243311,44560851,44622719,44761954,44861399,44962348,44989594,45247423,45278332,45282183,45362211,45557360,46046191,46059731,46081383,46605274,46738269,46753762,46825559,46957731,47196231,47257123,47305618,47328730,47580871,47914732,47933783,47989671,48266495,48689667,48786551,48872338,48875251,49072005,49132108,49461551,49579138,49620584,49725618,49776940,49959215,50134823,50381495,50517298,50747811,50750194,50755938,50835778,50862900,50954323,50995223,51252030,51849442,51920871,52038643,52070781,52326863,52343308,52343472,52413799,52466451,52746034,52796140,52811394,52866590,52907615,53647138,54253760,54304762,54328083,54459418,54668832,54714183,54936823,55247218,55295692,55501864,55823157,56116732,56146642,56177530,56749978,56794476,57001999,57002323,57060705,57520834,57571811,57634472,57705171,57919794,57986956,58220620,58238151,58336415,58543991,58794322,58886406,59166215,59183098,59300583,59732328,59951058,59981091,60020338,60056583,60198778,60347911,60433683,60457794,60627340,60864752,61035480,61502436,61628332,61636371,61929160,61989025,62040658,62100178,62262658,62328058,62439597,62584231,62999923,63204730,63353159,63355368,63439908,63489138,63596911,63599272,63709132,63874851,64398163,64524815,64684594,64743191,64838781,64912083,65104512,65424172,65650083,65728258,65802739,65836834,65951423,66104743,66113671,66254578,66312231,66679251,66752583,66892211,67198869,67413036,67594989,67784831,67903976,68162071,68353378,68472846,68505351,68605415,68664915,68713123,68869756,69454245,69670305,69864744,69978034,70003698,70246642,70388583,70637314,70824671,70827340,70999458,71274789,71369788,71427379,71476041,71539431,71549181,71659543,71754531,71786623,71856031,72121852,72165383,72184083,72552994,72622540,72752808,72791890,73052495,73242576,73254183,73695538,74035491,74084528,74104972,74314992,74386830,74900236,74919203,75081442,75307731,75367511,75459815,75523700,75756898,75800391,75845676,75907799,76108642,76136236,76151571,76391973,76439194,76572562,76749298,76878323,77122259,77188531,77189025,77201511,77429778,77574991,78401314,78597837,78724965,78776819,78784498,78939411,79074503,79345952,79443215,79871218,80166760,80181411,80470225,80521474,80525031,80549074,80685539,81210471,81402403,81411623,81431890,81552291,81831311,81846909,81961683,82009799,82083688,82172620,82326498,82334960,82397898,82683625,82807258,83277992,83345094,83394931,83604366,83748172,83973296,83995683,84025228,84228514,84384034,84399891,84530242,84565378,84567815,84959495,84992808,85004583,85090525,85406631,85490812,85550745,85732271,85742152,85743340,85891377,86150938,86464402,86674083,87036105,87147048,87302015,87350268,87613522,87662994,87907954,88064871,88066258,88171663,88325698,88555750,88714540,88939223,89051811,89244215,89264196,89318338,89365423,89512252,89575971,89616671,89704498,89939731,89999890,90086291,90187605,90229011,90405215,90551778,90628440,90791495,90852730,90942825,91009491,91043311,91059058,91203043,91254128,91444018,91915683,91918471,92039194,92071331,92162092,92344149,92626830,92713341,92783212,92838512,93198412,93495292,93507176,93522183,93687741,93726863,93793114,93974291,94052620,94089298,94183138,94372018,94469958,94907299,95050311,95331858,95616909,95746083,95841251,95852434,95985391,96200112,96459921,96564270,96670336,96844423,97005680,97029058,97450184,97681138,97691271,97718268,97721459,97830431,98002851,98040429,98251683,98562183,98607144,98801952,99220350,99236482,99285223,99416659,99949063,99954215,99968620,...,55347504226126601369631364679684102818740039634182195384139130447601626312604427360704541898532037477560948987344469933200991311249536879588056348807831925920590851769021094475551663511190244195899561328916086512102345882075943408813664054761114079845129179583201022453909677463107062836663037540475049679568112137233563387850642716709693458434412197615975373943927273308859133667164092682714154208071109934679443504170613292969733036431764932740642361810277604704814592002397700495415272308800808724777570227189295211937529395904527669507694732011943954018750992103856608834842562138384802027292171806076689584636211218367071273950614788669495032878767026117403663024317683053507359405725080195210318310510433068164953208908734074679816925370006394201506023021944455685208784900555080550731528309562053621152020988369405727767758420680347001901556071910599835745417627257997592441602195960702152629627956800317239606311240461692497932975931659310790887807429917658165896899332609416592254698846620190927337072576243587783421266449259397862966106537890800422181767814223951834067708734068686211879407387180771903864604360901863956111057777103762439948568218111995343237534736517156949567754451823954993503460023129662937426083184898730467641212142592339061320463848001163544158488311823116869348938271724266098992019970472942205268704810637400117212683721736358388267144366103180486643165084256654991675574413452080386181855823706396556342156468762700787549247508118074698444932584898079465495635439788645822640627553332629618055192846197214796538883756871408121200933948357451299692981165196894757340379376656232068613845909970417735680665412594203788740636712685392050637016725225187035256688851168868861070419416914554494260125073163079613875854414848117626631151423227322614402226684789530489607319169274370915804039358775070585505886082289248815142062481528097953108744229045696226628773677776861816900985360197842938393167574832181633831150795906646747963746216586817786016109770563844765265955598019222546988146303977241204824543531635743946091316491719864290911381425986400262144922021553325459939899120182015574998251583290305722303055925542972818169830837583950885073673853690711154248153594149389590496891219623838104497347660478500368179998745255523071682500685499474737824393749911267673585582018294822817066758228175069933168917789038833073911266703301423112901325414557070988370936148486226643849597248465494637034763200886600467170327801787}
15442  1907637672358882317682634496706435056994726471813940868804363559: {46317,401102,446977,631441,678788,907597,1274797,1619835,1727824,1732177,1928375,1943802,2059982,2279348,2314050,2427038,2468320,2641537,2732077,2776860,2835992,2893508,2961984,3190491,3332232,3342158,3748761,3751988,3889502,4081537,4260241,4438657,4617278,4705741,4853444,4980302,5414797,5464244,5523758,5855617,6065918,6149787,6522392,6561668,6683444,6786782,7257944,7321175,7325918,7337691,7340941,7514317,7814391,8020868,8165187,8376877,8506244,8785410,8890957,9112244,9170735,9233348,9371104,9741997,9927195,10026051,10080397,10201028,10333441,10533518,10542492,10585837,10589008,10921357,10925444,11004882,11020295,11063582,11339137,11416238,11838097,11912634,11935775,12003841,12009908,12295358,12828241,12851588,13054811,13101050,13121624,13224354,13251651,13694462,13808017,14066295,14322930,14530244,14697037,14761827,14857741,15004048,15247748,15277792,15632015,15721260,15775775,16679283,16767704,16769344,16798388,16820295,16879554,16980398,16999057,17187516,17941648,18165997,18177902,18222104,18243217,18348398,18580868,18649730,18758418,18792411,18863667,18865512,18930930,19028942,19047147,19164241,19173428,19537838,19636162,19772497,19876382,20001668,20074897,20184354,20192992,20356148,20399384,20499867,20888558,20946308,21049741,21123992,21223701,21392702,21643597,21938797,22159441,22230062,22306177,22331450,22379676,22675175,22717116,22903251,22949307,23024495,23063822,23545347,23613841,23686395,23728238,23757697,23764491,24333171,24827437,24872615,25265488,25288628,25305035,25441323,25543502,25601617,25707662,25797291,26362862,26574337,26643277,26753307,26797740,27178622,27210210,27265775,27275171,27629394,27903883,28030175,28051660,28141741,28343377,28423674,28524335,28584256,28637918,29024224,29121758,29124548,29159835,29275777,29355908,29443598,29764862,29818244,29847138,29925278,30245678,30366042,30395444,30583297,30647917,31103824,31156223,31226257,31290157,31362542,31735441,31775991,31849175,31923992,31925197,31997582,32157288,32237108,32442747,32517051,32581508,32652252,32677741,32718930,32802157,32864257,33156627,33230428,33603841,33636210,33661992,33726097,33841844,33956228,33963171,34229202,34393357,34693777,34870148,34900192,34932817,34991802,35289217,35406899,35407441,35878624,35914491,35977335,36009668,36150050,36176949,36351987,36380795,36400717,36532718,36578228,36686942,36746317,36975277,37032337,37337595,37439831,37689027,37711441,37869741,37938815,37939508,38167115,38219010,38375824,38435437,38710775,38957444,38964530,39092941,39201517,39262716,39472175,39826768,39862690,40014843,40043438,40059757,40073800,40133067,40271437,40324177,40363452,40691341,40709195,40749050,40760708,40766944,40995695,41184267,41322548,41466241,42074497,42124717,42594392,43113997,43172802,43276175,43301144,43380060,43418011,43450244,43477982,43656954,43932241,44122695,44331891,44403841,44508158,44508890,44729677,44805114,44812295,45083025,45121844,45189037,45526578,45611691,45800538,45862812,45909037,46122392,46130257,46272064,46305937,46436941,46452930,46757436,46976735,47064208,47339444,47366610,47419777,47449988,47472040,47711341,47788071,47793997,47835228,47843342,47918691,47986622,48088560,48129758,48243457,48379535,48404737,48564131,48713787,48851034,48898860,48999277,49074531,49193857,49194834,49485687,49549792,49766797,50139757,50336984,50430163,50505517,50524384,50685697,50792941,50821982,51079988,51294464,51298868,51626948,51659043,51887691,51896557,51931410,52056072,52158784,52258897,52265787,52484941,52738957,52947234,53019217,53111341,53202817,53256658,53371844,53403243,53406045,53410668,53413741,53562241,53621137,53650477,53737118,53767117,53774754,53796097,53996941,54007019,54099630,54138241,54188015,54421838,54524450,54685441,54765037,54840395,54922695,55076941,55102443,55279117,55328941,55393504,55435947,55501057,55649363,55743516,55924184,55973377,56202935,56308717,56319902,56372082,56513588,56586241,56597915,56629107,56689741,56722958,56750977,56839932,56946700,56966448,56989441,56990942,57085741,57144327,57267908,57309517,57315224,57363841,57505537,57706272,57989607,58055442,58056337,58100941,58314241,58485997,58548817,58563081,58573441,58584208,58678632,58692241,58718798,58726477,58771844,58825297,58887937,58938157,59112577,59121037,59201677,59288941,59353741,59414468,59415979,59461741,59475457,59530897,59574637,59581441,59587597,59596417,59608657,59769998,59893415,60031358,60292142,60376244,60482948,61131651,61329518,61415135,61441844,61458542,62025730,62101502,62117403,62221175,62317692,62610308,62914707,62928308,63359714,63376622,63578625,63658707,63926187,63986228,64008782,64087254,64134782,64479627,64823962,64919556,65025618,65137598,65429135,65429340,65759678,65808474,65907234,65995175,66013461,66196691,66300824,67115582,67142931,67443522,67484391,67663748,67671994,67674584,67817200,67917498,67969358,68333102,68336040,68454062,68869691,69119615,69176798,69227828,69377330,69427708,69791296,69907911,69955268,70130643,70145915,70415192,70843022,70958427,70993095,71782478,71823227,71872098,71899262,72043090,72229963,72437444,72481022,72483695,72775775,72868243,72891776,72952244,73308507,73476634,73698162,73748222,74368707,74430876,74588427,74665410,74997998,75024383,75560318,75615983,75725968,75775947,75784175,75784238,75895982,76080940,76125291,76133907,76253667,76294350,76878045,76940228,77035415,77226392,77411450,77650868,77664302,77774163,78100622,78514962,78515208,78858638,79067444,79119051,79194210,79217091,79299885,79499090,79636415,79643104,79847362,79934744,79974788,80006531,80075444,80470707,80578244,80610392,80670158,80880542,81233698,81380640,81457143,81689127,81716318,81780215,81818779,82003248,82181828,82440062,82870827,82943538,83054798,83252796,83563118,83866382,84175098,84219963,84266295,84473824,84586544,84652184,84879970,85124967,85166468,85191714,85268911,85363262,85461902,86087195,86281251,86451708,86549444,86806016,86827742,86879691,86980434,87020558,87330930,87426251,87500078,87533444,87918187,88191483,88329609,88416308,88534175,88774647,88823582,88905668,89003444,89175251,89196542,89212235,89289422,89598492,89843678,89884048,89926587,90030507,90126652,90152315,90155351,90298167,90524399,90665342,90686691,90778175,90941010,91297128,91340468,91553220,91564622,92253654,92361662,92442498,92605660,92631215,92893740,93060987,93147038,93150267,93152992,93236363,93338264,93393987,93406238,93492087,93625295,93749822,93851444,94162138,94404625,94430078,94665944,94807095,95017742,95033052,95159862,95170295,95233707,95301388,95385908,95398908,95563698,95672708,96171902,96245444,96577262,97003744,97026891,97656768,97672244,97771742,98136258,98240462,98589647,98592387,98713988,98755251,99086318,99086656,99182440,99381867,99765422,...,73796672301502135159508486239578803758320052845576260512185507263468835083472569814272722531376049970081265316459293244267988414999382506117408465077109234560787802358694792634068884681586992261199415105221448682803127842767924545084885406348152106460172239444268029938546236617476083782217383387300066239424149516311417850467523622279591277912549596821300498591903031078478844889552123576952205610761479912905924672227484390626310715242353243654189815747036806273086122669863600660553696411734411633036760302919060282583372527872703559343592976015925272025001322805142145113123416184513069369722895741435586112848281624489428365267486384892660043838356034823204884032423577404676479207633440260280424414013910757553270945211645432906422567160008525602008030695925940913611713200740107400975371079416071494869361317825874303690344560907129335868741429214133114327223503010663456588802927947602870172837275733756319475081653948923330577301242212414387850409906556877554529199110145888789672931795493587903116096768324783711228355265679197150621475383854400562909023752298602445423611645424914949172543182907695871819472481202485274814743702805016586598090957482660457650046315356209266090339269098606658004613364172883916568110913198307290188282856789785415093951797334884725544651082430822492465251028965688131989359960630589607024939747516533489616911628981811184356192488137573982190886779008873322234099217936107181575807764941862075122875291683601050065663344157432931259910113197439287327513919718194430187503404443506157406923794929619728718511675828544161601245264476601732923974886929193009787172502208309424818461213293890314240887216792271718320848950247189400849355633633582713675585134891825148093892555886072659013500097550772818501139219797490168841535230969763485869635579719373986143092225699161221072052478366760780674514776385665086856083308704130604144992305394261635505031570369149089201313813597123917857556766442908845108201061208862330618328288782423714688146360751793020354607464025630062650861738636321606432724708847658594788421988959819054548508567981867016193229362071100613253198826909354099997668777720407629737407900723963757559774450111934513431565138254281538997538125532519453995854959498450805996463547304667157573331660340697428910000913999299650432524999881690231447442691059763756089010970900093244225223718718444098548355604401897483868433886076094651161248197981635525132796331287326182713017601182133956227103735716}
15443  1916143921172281663938387955949093041390243181837562456521612068: {15443,61756,601653,848485,1018182,1511846,2159780,2481493,2591736,2849185,2915703,3085400,3089973,3221317,3406273,3419022,3471075,3544990,3616885,3640557,3702480,3949312,4165290,4253988,4340262,4442976,4689985,4998348,5013237,5251741,5627982,5707093,5764462,5806177,5834253,6066805,6350701,6730237,6830305,6925917,6941341,7280166,7470453,8152990,8196366,8199716,8202085,8285637,8354305,9072430,9098877,9265382,9399013,9783588,9825838,9842502,9977077,10025166,10026085,10180173,10265797,10419188,10594753,10632805,10886916,10988877,11244973,11390305,11481421,11541685,11713880,11983357,11996941,12031302,12043582,12333277,12751285,12759366,13090933,13128542,13178115,13236260,13368068,13656805,13668366,13731661,13829317,13850022,13851073,14013637,14056656,14176357,14671741,14673176,14806142,15012385,15207853,15301542,15698942,15800277,15813738,15883512,15906022,15944341,16064485,16388166,16402030,16499521,16507323,16595373,16618213,17032741,17124357,17367757,17493901,17632472,17668868,17849461,17868951,17929582,18014862,18130598,18162805,18278497,18443037,18483493,18755060,19041517,19059685,19097240,19277382,19651575,19682436,19836531,20126977,20541693,20844877,20959630,20961680,20997985,21443902,21484395,21548677,21795366,22107302,22239044,22427060,22506072,22777630,22871622,22916688,23226085,23581890,23609857,23966785,23990758,24572446,25002085,25011224,25056548,25064917,25151556,25154016,25197582,25234837,25241240,25277521,25319331,25396196,25445185,25470597,25499230,25781274,25821841,25874206,26054197,26182885,26404990,26709301,26758862,26912472,27077917,27215846,27266853,27333156,27377317,27522597,27865261,27871302,27933493,27974595,28137627,28298268,28396395,28543413,28760142,29001022,29037877,29306757,29416273,29454243,29814573,29839568,30002502,30276531,30289488,30534222,30537668,30599076,31332837,31382557,31393796,31419462,31526846,31581860,31610785,31685988,32021341,32089053,32444228,33030541,33135973,33345037,33345093,33353377,33497175,33569514,33578846,33905941,33921764,34061038,34075674,34396388,34595733,34848422,35064575,35265662,35586037,35592357,35606798,35608081,35671076,35730320,36123181,36280280,36405685,36694885,36839192,36901717,37270093,37272805,37685293,37888501,37898232,37932942,37994305,38315253,38561493,38664782,38696641,38879780,38955037,39011713,39441517,39544293,39782893,39792061,39796184,39904990,39942397,40196610,40296385,40357093,40488056,40726885,40752961,40767933,40815315,41181182,41444091,41538035,41684326,42077490,42293773,42302305,42367988,42445285,42578126,42635511,42876384,42956877,43256996,43320301,43356068,43414046,43536336,43587685,43625240,43682637,43686822,44033862,44044861,44091718,44165397,44208836,44628541,44647293,44727366,44770707,44848280,44851777,44882656,44887917,45012085,45194941,45284228,45368517,45549063,45593166,45638936,45722785,45879697,46065757,46655736,46799437,47043813,47158837,47213566,47424385,47497621,47885988,47940037,47969780,47996373,48235932,48271021,48355662,48469316,48696805,48792997,48872262,48878702,48933661,48978378,49078395,49558657,49783460,49845642,49979473,50092250,50150821,50252036,50454315,50492988,50692993,50762766,50934342,50950885,50958680,51261182,51343803,51512941,51636958,51653185,51728941,52130557,52305222,52333717,52350288,52487703,53018017,53029237,53242990,53353124,53510756,53592397,53817936,54014502,54126430,54225075,54312805,54799077,54867342,54912356,54982741,55030413,55114693,55254446,55280557,55339297,55877137,56076262,56302021,56402305,56909262,56994661,57328515,57563736,57645397,57652990,57656833,57840080,57903637,58013221,58049918,58209272,58436166,58446795,58652941,58830260,58894074,59109188,59174305,59215261,59312485,59340050,59523277,59736013,59740152,59794035,59958566,59977502,60065157,60110700,60179473,60545178,60568741,60695521,60702104,60815588,61067384,61123575,61141062,61150416,61613293,61704781,61937240,61983822,62336222,62343248,62747197,62755957,62756926,62921230,63155480,63426446,63717428,63780304,63849985,63891588,64029181,64118080,64123585,64146157,64533685,64607677,64759203,64951716,65070090,65134712,65175366,65198480,65216973,65432708,65485431,65593112,65980916,66019822,66260222,66301741,66443557,66714805,66762237,66763335,66836677,67207671,67335493,67573093,67592653,67682766,68039413,68289867,68700807,68794218,68878724,69183588,69188353,69194917,69241880,69408096,69679395,69687716,69748141,69905230,69942901,70136154,70499797,70534093,70596312,70641985,70833937,71009166,71049915,71174982,71183375,71204324,71206846,71208060,71214224,71336641,71584885,71644030,71699672,71752842,71765013,71979933,72132840,72194637,72360037,73230260,73276551,73348290,73464805,73469924,73792251,73793806,73914596,74001037,74013226,74070661,74268085,74279533,74324688,75091238,75162776,75470305,75505476,75603685,75759517,75786576,75955264,76192436,76232973,76237117,76464097,76619982,76802305,76888381,76941696,76948302,77319476,77398561,77407256,77440422,77458837,77897115,78084108,78238176,78262885,78315301,78648542,78660385,79294717,79322653,79420851,79884987,79958017,79982785,80057766,80116002,80605677,80662131,81149445,81387133,81508868,81632757,81670981,81786675,81842017,82020541,82602157,82818062,82823204,82832701,82876030,83090256,83451733,83480462,83553877,83615274,83886276,84234277,84479853,84527917,84558123,84579685,84593230,84770382,84771500,84878276,85084437,85234916,85259898,85420050,85449672,85486413,85788142,85901862,85972836,86010277,86534785,86559408,86700824,86784635,86934721,86983837,87083163,87239120,87444085,87487501,87624998,87744632,87876312,88017948,88018990,88078197,88157766,88337222,88486622,88616341,89121702,89245438,89451841,89523908,89654997,89709217,89722798,89914333,89924696,89979188,90047037,90098077,90334741,90438213,90453073,90494846,90546805,90556664,90564366,90724422,90989461,91114720,91140661,91156381,91190305,91493953,91994277,92083717,92092382,92119462,92162766,92187813,92623933,93038595,93099877,93152253,93210548,93476538,93507524,93651118,93915462,94392462,94423717,94514246,94611236,94657460,95039571,95064933,95101175,95161742,95355637,95451073,95829464,95867566,95979342,96013173,96047581,96130881,96175285,96202173,96443701,96532990,97063585,97235943,97379334,97506433,97538427,97573102,97706397,97744676,97750502,97843357,98047741,98144010,98252701,98264216,98526733,98639517,98712711,98834305,98860851,98923102,99158276,99241168,99402661,99451236,99553880,99918430,99968485,99976021,...,110695008452253202739262729359368205637480079268364390768278260895203252625208854721409083797064074955121897974688939866401982622499073759176112697615663851841181703538042188951103327022380488391799122657832173024204691764151886817627328109522228159690258359166402044907819354926214125673326075080950099359136224274467126775701285433419386916868824395231950747887854546617718267334328185365428308416142219869358887008341226585939466072863529865481284723620555209409629184004795400990830544617601617449555140454378590423875058791809055339015389464023887908037501984207713217669685124276769604054584343612153379169272422436734142547901229577338990065757534052234807326048635366107014718811450160390420636621020866136329906417817468149359633850740012788403012046043888911370417569801110161101463056619124107242304041976738811455535516841360694003803112143821199671490835254515995184883204391921404305259255913600634479212622480923384995865951863318621581775614859835316331793798665218833184509397693240381854674145152487175566842532898518795725932213075781600844363535628447903668135417468137372423758814774361543807729208721803727912222115554207524879897136436223990686475069473034313899135508903647909987006920046259325874852166369797460935282424285184678122640927696002327088316976623646233738697876543448532197984039940945884410537409621274800234425367443472716776534288732206360973286330168513309983351148826904160772363711647412793112684312937525401575098495016236149396889865169796158930991270879577291645281255106665259236110385692394429593077767513742816242401867896714902599385962330393789514680758753312464137227691819940835471361330825188407577481273425370784101274033450450374070513377702337737722140838833829108988520250146326159227751708829696235253262302846454645228804453369579060979214638338548741831608078717550141171011772164578497630284124963056195906217488458091392453257547355553723633801970720395685876786335149664363267662301591813293495927492433173635572032219541127689530531911196038445093976292607954482409649087063271487892182632983439728581822762851972800524289844043106650919879798240364031149996503166580611444606111851085945636339661675167901770147347707381422308496307188298779180993782439247676208994695320957000736359997490511046143365001370998949475648787499822535347171164036589645634133516456350139866337835578077666147822533406602846225802650829114141976741872296972453287699194496930989274069526401773200934340655603574}
15444  1924687799133227042385072925374648152545499248924038456453447551: {77195,92634,262259,477803,662243,802204,815723,893954,938363,1030259,1091483,1262882,1274963,1357576,1527273,1732403,1815194,2006003,2097059,2267769,2400059,2549594,2551259,2641883,2699725,2762603,3214163,3239670,3454259,3455648,3464354,3813443,3856750,3887604,3903059,4111883,4119964,4290563,4558696,4628100,4647059,4736003,4854076,4936640,5091059,5128533,5283074,5317485,5327123,5464154,5533259,5553720,5671984,5768363,5787016,5923968,6247935,6380982,6470603,6510393,6664464,6684316,6907163,7284059,7497522,7503976,7774883,7779004,8148659,8163074,8292059,8441973,8520482,8578259,8646693,8806643,8877314,8920643,9091403,9148259,9234556,9347003,9411482,9573659,9706888,9771563,9940883,9960604,9997259,10194323,10249645,10699259,10829594,10920249,10928488,11047516,11173763,11535059,11711234,11867363,12033083,12131836,12229485,12294549,12299574,12446123,12830003,12839029,12857363,12912059,13023985,13044784,13123336,13185059,13239563,13366888,13573564,13608645,13647323,13898073,14215163,14403659,14515888,14618603,14642350,14651836,14675382,14681882,14725883,14738757,14763753,14886563,15028634,15037749,15428413,15628782,15738659,15818123,16003259,16041736,16082483,16330374,16451243,16545325,16608803,16710085,16753754,17001443,17012488,17105843,17392283,17570820,17574059,17781914,18046953,18065373,18224488,18271523,18341470,18400043,18466696,18742208,19139049,19166963,19319483,19483994,19692813,19854390,20052102,20077763,20160794,20253659,20402056,20502549,20666882,20679203,20775033,21052763,21067036,21084984,21171674,21178016,21201683,21300803,21449243,21745259,21794483,21842714,21850888,21884821,22009764,22040590,22086085,22127164,22209213,22309403,22602059,22678274,22832476,22917803,22952313,23280443,23443825,23548413,23617283,23641283,23676194,23720607,23761163,23825268,23859033,23871550,23928659,24000323,24007682,24019816,24582249,24590716,24603045,24689363,24925403,25113659,25348259,25465259,25656482,25703176,25815059,26093603,26109622,26202100,26243248,26448708,26503302,26739059,26807843,26894373,26922323,27022293,27195897,27196259,27388924,27605003,27616034,27798805,28033825,28132590,28168403,28370003,28615523,28645860,28916073,29060488,29169923,29394074,29523654,29715482,29872259,29937683,30008096,30024803,30155243,30198659,30495496,30555584,30674123,30781643,31103003,31264030,31320685,31422563,31439445,31442520,31551550,31698059,31740323,31745245,32119259,32165853,32234293,32391323,32578883,32693049,32890043,33160953,33302123,33358566,33535408,33538688,33596776,33609083,33640590,33759108,33960796,33998114,34035803,34166445,34278059,34307433,34375032,34719203,34818923,34821661,35314523,35372835,35373659,35427049,35432723,35726963,35824643,35883296,35986137,35999963,36331994,36348659,36355804,36406523,36444208,36486434,36541259,36637259,36696796,36858669,36885923,36924059,37057283,37161736,37299460,37435763,37516836,37548683,37584822,37727334,37731024,37796373,37861860,37960259,38057884,38094294,38172085,38248845,38328482,38346856,38460083,38671911,38811309,38844803,38881259,39008603,39075676,39099323,39207923,39242245,39272324,39334259,39477325,39544994,39607485,39752764,39934069,40003336,40084043,40138293,40149794,40348403,40368708,40385984,40453643,40488659,40555285,40698083,40712296,40715483,40798768,40823769,40999734,41010059,41233763,41439059,41490203,41727923,41777116,41806953,41844517,41892616,41896763,41947259,42099482,42148523,42198659,42247984,42282059,42402205,42447402,42481403,42745403,42778259,42785404,42827483,42893003,42942059,42991043,42995485,43140213,43287194,43460843,43501533,43669259,43877594,43987259,44247073,44318882,44427083,44460124,44588845,44612354,44613659,44644643,44662900,44759352,45003753,45151259,45350350,45378659,45434232,45783443,45801333,45806502,45828059,45898614,45931883,46048990,46127644,46153043,46445123,46459643,46705259,46748363,46920059,47090694,47129193,47227682,47231843,47290269,47372790,47442203,47456476,47515394,47528982,47719883,47733683,47802563,48103259,48306059,48413483,48573659,48599725,48666342,48864323,48929843,48969059,49293059,49637363,49654874,49745230,49775963,49826123,49863659,50271803,50332883,50354271,50368269,50442323,50530976,50577256,50610070,50623283,50695163,50882646,50933113,51015059,51050243,51087004,51091557,51113511,51167003,51190259,51203234,51271403,51415324,51535259,51594582,51839603,51906443,51984059,52039259,52149059,52272633,52279763,52686059,52725724,52759643,52791059,52822403,52898493,52959985,53114341,53121683,53148674,53253659,53286554,53410197,53433961,53434163,53506614,53595480,53670803,53777723,53921963,54007643,54071245,54195085,54270059,54357244,54408059,54420420,54531550,54550342,54562283,54589259,54705323,54784883,54942059,55011083,55258788,55261045,55298723,55348523,55365059,55544843,55585163,55807766,55869563,55939043,55985003,56015483,56060350,56098643,56103320,56151059,56283482,56298659,56392883,56499923,56598203,56605285,56686754,56688059,56701763,56823659,56843723,56847348,56890259,56899413,56910083,56992873,57001643,57048670,57066083,57104363,57161243,57168512,57198803,57275836,57321923,57364259,57393973,57483059,57500603,57523883,57570059,57638363,57655259,57731641,57755123,57997173,58048448,58069283,58089203,58186883,58243516,58249096,58258043,58318259,58319670,58327403,58386059,58452059,58503563,58551554,58566323,58590923,58659059,58709603,58711816,58743803,58784723,58887196,58891403,58905083,58965059,58981259,59074259,59083163,59103659,59109443,59126603,59187059,59275259,59303243,59364059,59368163,59370203,59409323,59436563,59448659,59468483,59477963,59491643,59529724,59545763,59555843,59571203,59583059,59587259,59595059,59603363,59608259,59612123,59615123,59619083,59628059,59628323,59628923,59629259,59636488,59694276,59850556,59857485,59962225,60294915,60491356,60586645,60732084,60790888,61166594,61295834,61771773,62207648,62229325,62312446,62452514,62526489,62580314,62725084,62737213,62815045,63116235,63470882,63551982,63698350,63826477,63847984,63850394,63867189,63995164,64314576,64474216,64885494,65034102,65121069,65163016,65304504,65355482,65437860,65530233,65604314,65728514,65767429,66050793,66137577,66313254,66460856,66691405,66888445,67091049,67207682,67272420,67323984,67452194,67683688,67731349,67912456,67926342,68389749,68458404,68640445,68786714,69387554,69740296,69800384,69865634,69983604,70578434,70813798,70814882,70820349,71757248,71828982,71954670,72019336,72300100,72353898,72533493,72703974,72761590,72801434,73065436,73156456,73308393,73318053,73373884,73467567,73492634,73537825,73886485,73950554,73984537,74064674,74675190,74768463,74879662,75138375,75378054,75422882,75739482,75863221,75877630,75879016,76019485,76144149,76334230,76401513,76438020,76751648,76776553,76870874,76891773,77421550,77455437,77914888,77929060,78185882,78232453,78403034,78457833,78525432,78684109,78944350,79237081,79646785,79653536,79725380,79864485,80029686,80086876,80119514,80147600,80266134,80542874,80648354,80726904,81021753,81189645,81382682,81391453,81418390,81498100,81521416,81533888,81790885,81991390,82301013,82368534,82476145,82645096,82881669,82932482,83850781,84114393,84148994,84249434,84511981,85188784,85363893,85981189,86098405,86227994,86345604,86479485,86552350,86602288,86760120,86836022,86900488,86955964,87074877,87109645,87313908,87654249,87864482,88245390,88341111,88663782,88807682,89005405,89010075,89016316,89017780,89459354,89610228,89624590,89937849,89966253,90166050,90243688,90378074,90817767,91053156,91223382,91537825,91600789,91601076,91711593,91725624,91818074,91837405,92244784,92260514,92393245,92544128,92611874,92873882,92905860,92975733,93504333,93514872,93953470,94128416,94135389,94381845,94553173,94678888,94733220,94839554,94899976,94944080,95139669,95240545,95422682,95576142,95587994,95670456,95686684,95837382,95973244,96177120,96259516,96486914,96649345,96759070,96767461,96809474,97128262,97427574,97605135,97702068,97763049,97797720,97998554,98149062,98204281,98387714,98389668,98971374,99029733,99099584,99390333,99533594,99666457,...,166042512678379804108894094039052308456220118902546586152417391342804878937813282082113625695596112432682846962033409799602973933748610638764169046423495777761772555307063283426654990533570732587698683986748259536307037646227830226440992164283342239535387538749603067361729032389321188509989112621425149038704336411700690163551928150129080375303236592847926121831781819926577401001492278048142462624213329804038330512511839878909199109295294798221927085430832814114443776007193101486245816926402426174332710681567885635812588187713583008523084196035831862056252976311569826504527686415154406081876515418230068753908633655101213821851844366008485098636301078352210989072953049160522078217175240585630954931531299204494859626726202224039450776110019182604518069065833367055626354701665241652194584928686160863456062965108217183303275262041041005704668215731799507236252881773992777324806587882106457888883870400951718818933721385077493798927794977932372663422289752974497690697997828249776764096539860572782011217728730763350263799347778193588898319613672401266545303442671855502203126202206058635638222161542315711593813082705591868333173331311287319845704654335986029712604209551470848703263355471864980510380069388988812278249554696191402923636427777017183961391544003490632475464935469350608046814815172798296976059911418826615806114431912200351638051165209075164801433098309541459929495252769964975026723240356241158545567471119189669026469406288102362647742524354224095334797754694238396486906319365937467921882659997888854165578538591644389616651270614224363602801845072353899078943495590684272021138129968696205841537729911253207041996237782611366221910138056176151911050175675561105770066553506606583211258250743663482780375219489238841627563244544352879893454269681967843206680054368591468821957507823112747412118076325211756517658246867746445426187444584293859326232687137088679886321033330585450702956080593528815179502724496544901493452387719940243891238649760453358048329311691534295797866794057667640964438911931723614473630594907231838273949475159592872734144277959200786434766064659976379819697360546046724994754749870917166909167776628918454509492512751852655221021561072133462744460782448168771490673658871514313492042981435501104539996235766569215047502056498424213473181249733803020756746054884468451200274684525209799506753367116499221733800109904269338703976243671212965112808445458679931548791745396483911104289602659801401510983405361}
15445  1933269471381225533793215307309950862502477737931050411477991446: {30886,123512,138951,1002755,1187879,1203306,1340931,1696970,1894323,2036364,2722791,3023692,3807011,3824391,3988859,4319560,4859505,4962986,5063639,5149955,5183472,5196531,5698370,5785125,5831406,6067595,6170800,6179946,6206603,6442634,6565979,6812546,6838044,6942150,7089980,7233770,7279943,7281114,7404960,7898624,7924611,8196231,8203403,8330580,8355395,8493527,8507976,8680524,8885952,9379970,9562427,9571473,9680939,9723755,9996696,10026474,10315283,10503482,10973783,11246283,11255964,11414186,11482919,11528924,11543195,11612354,11668506,11696027,11791091,12133610,12244611,12334883,12450755,12567911,12701402,12780723,13315971,13460474,13660610,13809395,13851834,13882682,14036519,14117223,14178203,14560332,14575691,14783063,14885927,14940906,15164795,15480611,15946427,16158359,16244391,16305980,16392732,16399432,16404170,16561571,16571274,16708610,16966955,17370023,17496179,17566851,17637419,17851799,18144860,18197754,18314795,18449361,18530764,18798026,19119527,19170131,19539083,19552007,19567176,19651676,19685004,19954154,20050332,20052170,20129603,20360346,20525531,20531594,20613707,20838376,21017339,21189506,21265610,21383879,21551483,21773832,21963525,21977754,22013073,22022823,22489946,22490279,22503611,22542951,22780610,22962842,23083370,23427760,23443173,23966714,23993882,24062604,24087164,24495561,24666554,25130631,25238123,25280819,25427927,25502570,25518732,25770971,26181866,26257084,26333795,26356230,26383379,26472520,26672871,26683559,26712779,26736136,27081443,27313610,27336732,27380903,27463322,27512205,27658634,27658955,27700044,27702146,28027274,28113312,28251347,28352714,28386107,28398791,28540595,29225991,29343482,29346352,29397179,29612284,29781585,29823107,30024770,30078153,30241191,30415706,30603084,30738395,31000323,31143527,31397884,31600554,31627476,31757511,31767024,31812044,31888682,32128970,32355011,32356643,32516519,32752625,32764071,32776332,32804060,32877011,32999042,33014646,33060885,33190746,33236426,33506867,33553499,34017411,34065482,34236155,34248714,34317491,34735514,34980371,34987802,35002919,35264944,35337736,35514291,35623259,35698922,35737902,35807325,35859164,36011523,36029724,36127907,36261196,36290711,36325610,36556994,36656039,36886074,36916487,36966986,37510120,37843403,38083034,38119370,38194480,38389691,38484723,38554764,39164433,39216059,39303150,39364872,39407771,39446663,39673062,39754953,39797267,40253954,40276643,40372967,40758299,41083386,41424051,41689754,41919260,41923360,41995970,42198885,42450995,42887804,42968790,43092347,43097354,43249187,43590732,44091111,44214604,44255099,44285481,44478088,44573223,44806667,44854120,45012144,45444755,45547427,45555260,45739931,45743244,45833376,45870995,45885683,46037771,46452170,46624325,46805543,46896045,47163780,47204651,47219714,47269511,47327325,47572355,47933570,47945003,47981516,48117731,48277319,48385427,48416807,48844595,49090405,49144892,49565123,49690955,50004170,50022448,50037849,50113096,50129834,50303112,50308032,50395164,50445467,50460885,50469674,50482480,50555042,50638662,50773319,50792392,50890370,50941194,50967959,50997171,50998460,51372839,51562548,51643682,51748412,52061603,52108394,52181927,52221395,52365770,52809980,53036183,53192027,53412203,53418602,53481755,53517724,53824944,54155834,54431692,54497991,54533706,54583379,54666312,54673511,54729651,54754634,55045194,55575155,55730522,55733171,55742604,55828625,55859411,55866986,55949190,56275254,56309387,56377233,56414939,56591001,56596536,56792790,56879447,57017639,57086826,57141441,57202259,57205991,57492723,57520284,57573287,57659555,57664451,58002044,58075754,58153249,58602851,58613514,58832546,58908486,59169707,59223227,59269211,59317491,59320595,59423399,59629146,59679136,60005004,60184919,60224691,60553062,60556007,60578976,60875939,61022759,61068444,61075336,61134203,61198152,61499601,61581587,61700867,61795283,62221139,62665674,62765114,62787592,62838924,63016919,63053692,63149223,63163720,63221570,63371976,63448283,63671103,63858755,64011899,64042682,64115531,64178106,64269155,64881419,64888456,64930791,64979603,65553287,65816391,65907155,65953091,66061082,66271946,66320603,66394139,66478323,66690074,66690186,66706754,66918531,66994350,67139028,67157692,67259411,67759271,67811882,67843528,67946555,68025525,68122076,68151348,68175527,68431571,68709753,68792776,68847921,68964167,69073485,69191466,69474227,69525203,69696844,70129150,70345691,70531324,70636041,70841523,71059185,71172074,71184714,71213596,71216162,71273091,71293473,71331239,71342152,71345927,71446103,71460640,71594795,72246362,72314459,72560560,72804395,72811370,72815399,72999513,73389770,73608995,73678384,73803434,74047619,74166131,74289251,74412155,74482311,74540186,74545610,74617845,74813195,75370586,75614195,75777002,75796464,75865884,75915105,75988610,76037927,76323969,76630506,76804851,77122986,77329564,77391873,77393282,77408699,77759560,77910074,77955671,78023426,78325547,78356603,78406355,78528467,78883034,78916499,78963227,79088586,79547339,79565786,79584122,79592368,79723011,79729187,79809980,79884794,79929831,79993955,80021531,80071079,80259921,80393220,80592770,80714186,80976112,80977607,81453770,81505922,81528371,81535866,81630630,81737483,81775811,81797325,81825513,82362364,82844027,82888182,83037479,83076070,83368652,83462651,83711649,84090525,84122867,84154980,84425223,84587546,84604610,84735976,84890570,85030131,85156252,85271022,85472363,85573005,85752768,85913754,86021543,86456339,86513992,86640602,86712136,86828092,87072672,87175370,87250480,87365274,87373644,87455771,87479505,87498947,87817307,87827331,88067724,88089722,88183436,88330794,88417672,89257082,89294586,89389979,89454732,89541414,89575079,89696560,89703554,89765312,89773019,89775834,90024170,90098411,90347159,90375125,90389882,90453179,90568456,90737034,91098126,91152599,91168307,91186332,91226951,91277872,91331795,91445570,91717355,91749891,91759394,91943751,92131514,92636051,92930219,93311472,93400727,93468669,93598874,93678771,93870471,93965579,94087626,94174139,94317674,94427132,94848770,94995242,95206323,95327973,95406167,95547525,95771976,95775591,95880074,95939560,95992746,96471864,96542042,96711324,96938632,97328241,97393610,97411325,97551153,97585994,97620731,97744524,97757404,97867322,97956756,98033223,98156790,98246387,98253131,98406471,98539751,98592771,98745491,98898779,98999879,99117314,99469881,99566920,99656725,99687047,99691284,99712979,99938003,99958946,99975587,...,221390016904506405478525458718736411274960158536728781536556521790406505250417709442818167594128149910243795949377879732803965244998147518352225395231327703682363407076084377902206654044760976783598245315664346048409383528303773635254656219044456319380516718332804089815638709852428251346652150161900198718272448548934253551402570866838773833737648790463901495775709093235436534668656370730856616832284439738717774016682453171878932145727059730962569447241110418819258368009590801981661089235203234899110280908757180847750117583618110678030778928047775816075003968415426435339370248553539208109168687224306758338544844873468285095802459154677980131515068104469614652097270732214029437622900320780841273242041732272659812835634936298719267701480025576806024092087777822740835139602220322202926113238248214484608083953477622911071033682721388007606224287642399342981670509031990369766408783842808610518511827201268958425244961846769991731903726637243163551229719670632663587597330437666369018795386480763709348290304974351133685065797037591451864426151563201688727071256895807336270834936274744847517629548723087615458417443607455824444231108415049759794272872447981372950138946068627798271017807295819974013840092518651749704332739594921870564848570369356245281855392004654176633953247292467477395753086897064395968079881891768821074819242549600468850734886945433553068577464412721946572660337026619966702297653808321544727423294825586225368625875050803150196990032472298793779730339592317861982541759154583290562510213330518472220771384788859186155535027485632484803735793429805198771924660787579029361517506624928274455383639881670942722661650376815154962546850741568202548066900900748141026755404675475444281677667658217977040500292652318455503417659392470506524605692909290457608906739158121958429276677097483663216157435100282342023544329156995260568249926112391812434976916182784906515094711107447267603941440791371753572670299328726535324603183626586991854984866347271144064439082255379061063822392076890187952585215908964819298174126542975784365265966879457163645525703945601048579688086213301839759596480728062299993006333161222889212223702171891272679323350335803540294695414762844616992614376597558361987564878495352417989390641914001472719994981022092286730002741997898951297574999645070694342328073179291268267032912700279732675671156155332295645066813205692451605301658228283953483744593944906575398388993861978548139052803546401868681311207148}
15446  1941889103774760021362588464740107275369493686056699976729776206: {46329,108073,154390,185268,293113,524518,955606,1122229,1324486,1488853,1604408,1631446,1787908,1804959,1876726,1945513,2060518,2127673,2182966,2400373,2525764,2545455,2549926,2715152,3054546,3464806,3484693,3630388,3779615,4012006,4194118,4535538,4647673,4800118,5099188,5102518,5283766,5399450,5525206,5622229,6428326,6479340,6500629,6908518,6911296,6928708,6937129,7444479,7458553,7626886,7713500,7775208,7804729,7806118,8223766,8239928,8547555,8579413,8581126,8747109,8862475,9117392,9177913,9256200,9269919,9294118,9472006,9663951,9708152,9873280,10182118,10218819,10257066,10413225,10448533,10566148,10634970,10654246,10784629,10850655,10921671,10928308,11066518,11107440,11343968,11536726,11574032,11847936,12447829,12495870,12761964,12859129,12941206,13020786,13328928,13368632,13814326,14001193,14069955,14349503,14405653,14411155,14566933,14568118,14968873,14995044,15007952,15039711,15549766,15558008,15755223,16084729,16297318,16326148,16479829,16584118,16883946,17040964,17121279,17156518,17293386,17418531,17502759,17613286,17732053,17754628,17841286,18182806,18200415,18233579,18296518,18351253,18428329,18469112,18694006,18822964,19052103,19147318,19413776,19543126,19881766,19921208,19994518,20190711,20256553,20382475,20388646,20490915,20499290,20514703,20707129,20777751,20824023,21398518,21452329,21659188,21748393,21840498,21856976,22095032,22347526,22411359,22681075,22848373,23070118,23163455,23394119,23422468,23644729,23734726,24003829,24066166,24075433,24263672,24289813,24458970,24564595,24589098,24599148,24606255,24856911,24892246,25062915,25492393,25660006,25678058,25714726,25824118,26047970,26089568,26120629,26246672,26370118,26479126,26733776,27147128,27217290,27223093,27294646,27296631,27796146,28197039,28430326,28441333,28807318,28908793,29031776,29237206,29284700,29303672,29350764,29363764,29451766,29477514,29527506,29773126,29898613,29931231,30057268,30075498,30078255,30094633,30108955,30540519,30743353,30797391,30856826,30920519,31129129,31257564,31477318,31636246,31702933,31784259,31898415,32006518,32019193,32082229,32083472,32164966,32660748,32770873,32821355,32902486,32957173,32966631,33090650,33217606,33327829,33420170,33507508,33573493,33734919,33878953,34002886,34024976,34170915,34211686,34243129,34303573,34444263,34484473,34625055,34784566,34904053,35141640,35148118,35563828,35732629,35950071,35966773,35990823,36093906,36130746,36448976,36543046,36682940,36800086,36933392,36999831,37015355,37484416,37686133,37966393,38253855,38278098,38333926,38638966,38905813,38918327,38967988,39247355,39272799,39385626,39534345,39708780,39765055,40104204,40155526,40321588,40507318,40722229,40804112,40970415,41005075,41005098,41194983,41333764,41358406,41487951,41550066,41553219,42040911,42105526,42134072,42169968,42305833,42343348,42356032,42403366,42505129,42529071,42601606,42703273,42752629,42860983,42898486,43490518,43588966,43676713,43685428,43701776,43769642,43848959,44010613,44015223,44019528,44081180,44172170,44254328,44418426,44443343,44618806,44667829,44823955,45037155,45174313,45204118,45326495,45356329,45356548,45623559,45664952,45806329,45835606,45904626,46467829,46560886,46727893,46887650,46942633,47096826,47234566,47282566,47352388,47400831,47441214,47522326,47650536,47718066,47742229,47743100,47833023,47857318,47907253,48000646,48015364,48039632,48111913,48193455,48355129,48959779,49164498,49181432,49206090,49302073,49378726,49452611,49498563,49521969,49786119,49850806,49854639,50227318,50244373,50644729,50696518,50859433,50930518,51001129,51036373,51098223,51312964,51373071,51406352,51630118,51860629,52060213,52103271,52159033,52187206,52191829,52219244,52399075,52404200,52481703,52486496,52643413,52832629,52897416,53006604,53172793,53440919,53478118,53548383,53606853,53609755,53615686,53788746,53844646,53999353,54044586,54280873,54391794,54392518,54418933,54488415,54609193,54777848,54835491,54939143,54979129,55210006,55232068,55268255,55329111,55384633,55450479,55597610,55748053,56049913,56067650,56265180,56336806,56700073,56740006,56777399,56822329,56944075,57124551,57179055,57211129,57231046,57291720,57466153,57723733,57740329,57832146,57838393,57886453,58120976,58275829,58339846,58399273,58616533,58664629,58788148,58834729,58939129,58954725,58978873,59047308,59160313,59201173,59217013,59291893,59326633,59346613,59363087,59384629,59408533,59430964,59509593,59535829,59622229,59643433,59644729,59744518,59875366,59976895,60016192,60049606,60193679,60310486,60380931,60397318,60990992,61111168,61348246,61431115,61563286,61625079,62206006,62424383,62528060,62534631,62641370,62845126,62878890,62885040,62993955,63103100,63396118,63480646,63490490,63748075,64238518,64331706,64453185,64468586,64646031,64685515,64782646,65157766,65386098,65780086,66012475,66321906,66604246,66717132,66897155,67070816,67077376,67193552,67218166,67281180,67518216,67921592,67996228,68039615,68071606,68228303,68332890,68556118,68614866,68750064,69438406,69637846,69643322,69678255,70629046,70745670,70747318,70829571,70854098,70865446,71453926,71649286,71766592,71900355,71972274,71999926,72502555,72663988,72697318,72711608,72813046,72888416,72972868,73082518,73274518,73393592,73717338,73771846,73848118,74114566,74143979,74323472,74598920,74871526,75006255,75033672,75097366,75169644,75194751,75431291,75454668,75462048,75592746,75699743,75704511,75723720,75832563,75873119,75920518,75957993,76115768,76188588,76315063,76335555,76344170,76411791,76497690,76656964,76693712,76920166,77343822,77365463,77465523,77622618,77689606,77762518,78017206,78151352,78162591,78198646,78415846,78484490,78544648,78548655,78668518,78817115,78954650,79089988,79214970,79247399,79505528,79868138,80006672,80127903,80168086,80276586,80299588,80696806,80737416,80771968,80907286,80977318,81110570,81233751,81396166,81424592,81430966,81597536,81647538,81800559,81999468,82020118,82131951,82467526,82567791,82878118,82980406,83455846,83554232,83595783,83613906,83689034,83785232,83793526,83800479,83894518,83923785,83947115,84198964,84297046,84397318,84412881,84495968,84564118,84804410,84821303,84894804,84962806,85152595,85189185,85490806,85556518,85570808,85630239,85654966,85786006,85884118,85982086,85990970,86280426,86574388,86921686,87003066,87113631,87121055,87338518,87436271,87448999,87755188,87920271,87941063,87974518,88164155,88248819,88362729,88494146,88637764,88854166,88920248,89016995,89177690,89224708,89227318,89289286,89325800,89443719,89518704,90007506,90302518,90700700,90757318,90829593,90868464,91566886,91602666,91613004,91656118,91797228,91863766,92097980,92255288,92306086,92890246,92919286,93367967,93410518,93496726,93643823,93840118,93998511,94147671,94181388,94258386,94454567,94455364,94463686,94580538,94745580,94832355,94884406,94912952,95030788,95057964,95439766,95467366,95605126,96064023,96096623,96189899,96206518,96267159,96612118,96661955,96826966,97147318,97199450,97332684,97728646,97859686,97938118,98586118,99091623,99274726,99309748,99407919,99490460,99551926,99652246,99727318,99762475,...,332085025356759608217788188078104616912440237805093172304834782685609757875626564164227251391192224865365693924066819599205947867497221277528338092846991555523545110614126566853309981067141465175397367973496519072614075292455660452881984328566684479070775077499206134723458064778642377019978225242850298077408672823401380327103856300258160750606473185695852243663563639853154802002984556096284925248426659608076661025023679757818398218590589596443854170861665628228887552014386202972491633852804852348665421363135771271625176375427166017046168392071663724112505952623139653009055372830308812163753030836460137507817267310202427643703688732016970197272602156704421978145906098321044156434350481171261909863062598408989719253452404448078901552220038365209036138131666734111252709403330483304389169857372321726912125930216434366606550524082082011409336431463599014472505763547985554649613175764212915777767740801903437637867442770154987597855589955864745326844579505948995381395995656499553528193079721145564022435457461526700527598695556387177796639227344802533090606885343711004406252404412117271276444323084631423187626165411183736666346662622574639691409308671972059425208419102941697406526710943729961020760138777977624556499109392382805847272855554034367922783088006981264950929870938701216093629630345596593952119822837653231612228863824400703276102330418150329602866196619082919858990505539929950053446480712482317091134942238379338052938812576204725295485048708448190669595509388476792973812638731874935843765319995777708331157077183288779233302541228448727205603690144707798157886991181368544042276259937392411683075459822506414083992475565222732443820276112352303822100351351122211540133107013213166422516501487326965560750438978477683255126489088705759786908539363935686413360108737182937643915015646225494824236152650423513035316493735492890852374889168587718652465374274177359772642066661170901405912161187057630359005448993089802986904775439880487782477299520906716096658623383068591595733588115335281928877823863447228947261189814463676547898950319185745468288555918401572869532129319952759639394721092093449989509499741834333818335553257836909018985025503705310442043122144266925488921564896337542981347317743028626984085962871002209079992471533138430095004112996848426946362499467606041513492109768936902400549369050419599013506734232998443467600219808538677407952487342425930225616890917359863097583490792967822208579205319602803021966810722}
15447  1950546862894394542555360764334621526219906430995201678993342707: {61772,231585,247024,277902,786777,1403857,1433409,1986729,2005510,2234885,2375758,2406612,2447169,2681862,2815089,3090777,3157205,3274449,3393940,3788646,3824889,3899489,4072728,4454357,4537985,4581819,5197209,5445582,6018009,6047384,6291177,6373985,6803307,7200177,7209937,7592693,7614022,7648782,7653777,7925649,7977718,8099175,8147129,8287809,8494633,8603569,8639120,8660885,8968289,9641875,9642489,9719010,9925972,9979673,10127278,10299910,10362777,10366944,10393062,10819873,11396740,11440329,11570250,11662812,11697553,11709177,12135190,12190789,12291017,12335649,12341600,12359892,12413206,12871689,12885268,13131958,13207685,13613257,13625092,13660385,13676088,13854677,13884300,13941177,14179960,14208009,14467540,14506169,14559886,14562228,14577589,14809920,15273177,15385599,15797248,15849222,15952455,15981369,16160473,16392462,16406806,16599777,16622537,16661160,16710790,16987054,17015952,17305089,17361048,17431057,17771904,18042233,18283253,18538313,18743805,18759940,19124854,19142946,19333153,19361878,19411809,19447510,19531179,19554553,19993392,20052948,20407685,20492209,20528209,20630566,20721489,21006964,21045637,21230713,21301205,21852177,21947566,22193285,22492566,22511928,22828372,22965838,23038849,23055593,23057848,23086390,23224708,23324649,23337012,23392054,23528705,23582182,23753737,24267220,24445977,24489222,24669766,24876177,24901510,25055393,25135822,25271857,25325919,25402804,25561446,25640713,25734777,25940079,26279249,26319893,26419929,26631942,26761929,26920948,27073985,27274209,27321220,27444777,27618790,27703668,27765364,28041009,28049153,28073038,28234446,28255033,28356406,28402489,28720977,29045489,29120664,29151382,29278085,29314689,29566126,29596793,29771854,29822649,29881812,29991777,30329590,30582969,30748935,30961222,31180357,31725649,31879873,31892854,32097777,32316718,32359249,32488782,32611960,32760747,32785464,32798864,32808340,33123142,33142548,33417220,33521289,33933910,34070873,34605177,34642693,34740046,34992358,35133702,35274838,35602089,35703598,36099249,36289720,36395508,36605875,36629590,36688455,36704705,36867313,36883647,36898722,37061528,37338369,37571585,37596052,38239054,38239669,38340262,38490009,38517087,38572089,38722537,38736177,39071955,39078166,39104014,39134352,39303352,39370008,39555177,39564149,39718689,39908308,39956833,40100664,40104340,40259206,40378249,40720692,40825935,40941969,41051062,41063188,41227414,41676752,41694219,41884385,42034678,42379012,42531220,42645489,42767758,43033753,43102966,43210977,43331657,43547664,43829713,43855809,43895489,43927050,43955508,44026146,44045646,44177649,44216271,44291259,44454785,44659689,44812513,44979892,44980558,45007222,45085902,45113247,45553393,45561220,45853675,45925684,46064233,46166740,46285239,46855520,46886346,47215977,47454369,47599669,47930617,47933428,47987764,48009777,48124009,48125208,48169337,48174328,48247449,48709985,48894409,48991122,49333108,49353729,49635975,49826409,50130255,50261262,50401985,50476246,50561638,50855854,51004329,51005140,51015317,51037464,51152873,51317529,51541942,51667205,51722353,52176849,52363732,52514168,52667590,52712460,52722177,52766758,52929185,52945040,53345742,53360249,53367118,53425558,53472272,54140859,54162886,54196119,54606785,54627220,54673464,54761806,54814569,54926644,54958357,55024410,55101475,55200129,55317268,55317910,55400088,55404292,56054548,56226624,56502694,56695685,56705428,56772214,56797582,57081190,57417147,57500889,57958449,58075313,58334977,58451982,58567289,58686964,58692704,58794358,59078439,59190485,59224568,59431393,59539073,59563170,59646214,59678875,60019205,60049540,60156306,60192793,60233289,60482382,60760977,60831412,61004953,61206168,61476790,61507647,61527349,62000646,62037609,62287054,62325099,62608753,62795768,63158289,63201108,63254952,63418289,63515022,63534048,63605049,63622657,63624088,63777364,63845497,63902409,64141205,64219393,64257940,64347729,64710022,64713286,65033038,65235777,65274055,65383449,65505250,65528142,65552664,65608120,65654463,65754022,65828593,65977349,65998084,66029292,66121770,66130849,66258255,66290837,66381492,66472852,66601297,66627639,66918569,66928209,67013734,67106998,67116713,67806177,68034822,68130964,68188789,68382433,68472310,68497428,68634982,68726567,68740057,68753409,68856939,68993537,69040085,69213353,69331253,69471028,69541273,69567337,69841329,69960742,69975604,70005838,70331475,70529888,70645239,70675472,70851849,70923849,71028582,71161821,71246518,71283489,71397844,71475804,71577099,71614650,71718328,71785977,72000969,72023046,72059448,72255814,72366773,72522392,72581422,72624353,72651220,73030789,73109953,73113988,73312078,73485185,73746747,73764433,73772148,73809135,73832974,73933972,74068089,74265553,74288705,74776209,74866537,74874457,75020240,75340977,75397397,75686806,76044777,76166068,76238740,76388960,76395777,76779382,76895753,76969446,77109528,77445177,77805217,78160075,78280809,78328866,78432118,78538753,78606300,78729744,78808433,78815542,78878875,78893326,79346124,79509906,79594534,80217177,80335049,80423529,80507908,80553286,80683119,80723377,80745934,80766969,81066879,81189257,81516598,81587691,81588777,82166149,82166772,82815009,82848102,83048833,83379508,83396415,83427697,83838520,83846720,83991940,84101475,84342353,84397770,84505209,84901990,84995285,85110009,85252033,85765973,85775608,85846569,85937580,86184694,86194708,86498374,86692577,86748219,87181464,87509769,87593729,88182222,88200793,88429208,88510198,88570962,88956176,88974617,89146446,89402257,89613334,89616777,89708240,89813049,89976817,90024288,90074409,90465013,90465729,90477077,90595977,90829985,90889510,91094854,91095233,91110520,91163633,91216085,91479862,91486488,91666752,91708889,91741990,91771366,92022369,92075542,92270017,92344929,92904340,93052553,93248650,93309009,93611086,93792090,93873673,93962055,94011233,94267689,94318335,94327560,94409302,94439428,94539022,94629457,94654650,95094177,95125177,95144710,95220969,95235735,95418649,95821205,95867140,95890006,95963032,96235462,96357777,96497559,96554638,96598553,96627673,96702879,96770854,96820889,96833614,97173969,97689190,97736649,98079147,98180810,98278457,98289784,98670129,98862485,99130246,99381910,99482859,99906369,...,498127538035139412326682282117156925368660356707639758457252174028414636813439846246340877086788337298048540886100229398808921801245831916292507139270487333285317665921189850279964971600712197763096051960244778608921112938683490679322976492850026718606162616248809202085187097167963565529967337864275447116113009235102070490655784450387241125909709778543778365495345459779732203004476834144427387872639989412114991537535519636727597327885884394665781256292498442343331328021579304458737450779207278522998132044703656907437764563140749025569252588107495586168758928934709479513583059245463218245629546254690206261725900965303641465555533098025455295908903235056632967218859147481566234651525721756892864794593897613484578880178606672118352328330057547813554207197500101166879064104995724956583754786058482590368188895324651549909825786123123017114004647195398521708758645321978331974419763646319373666651611202855156456801164155232481396783384933797117990266869258923493072093993484749330292289619581718346033653186192290050791398043334580766694958841017203799635910328015566506609378606618175906914666484626947134781439248116775604999519993933861959537113963007958089137812628654412546109790066415594941531140208166966436834748664088574208770909283331051551884174632010471897426394806408051824140444445518394890928179734256479847418343295736601054914153495627225494404299294928624379788485758309894925080169721068723475636702413357569007079408218864307087943227573062672286004393264082715189460718958097812403765647979993666562496735615774933168849953811842673090808405535217061697236830486772052816063414389906088617524613189733759621125988713347834098665730414168528455733150527026683317310199660519819749633774752230990448341125658467716524882689733633058639680362809045903529620040163105774406465872523469338242236354228975635269552974740603239336278562333752881577978698061411266039658963099991756352108868241780586445538508173489634704480357163159820731673715949281360074144987935074602887393600382173002922893316735795170843420891784721695514821848425478778618202432833877602359304298193979929139459092081638140174984264249612751500727503329886755363528477538255557965663064683216400388233382347344506314472020976614542940476128944306503313619988707299707645142506169495272640419543749201409062270238164653405353600824053575629398520260101349497665201400329712808016111928731013638895338425336376039794646375236189451733312868807979404204532950216083}
15448  1959242916045892946617494263041364281362514362699550225007816417: {77215,92658,216146,308780,370536,416853,586226,723847,1049036,1091767,1366951,1911212,2244458,2279551,2648972,2733151,2977706,3008265,3208816,3262892,3563637,3575816,3609918,3753452,3891026,4022793,4121036,4242425,4255346,4365932,4707607,4796527,4800746,5051528,5090910,5099852,5240047,5291461,5430304,5682969,6109092,6472327,6929612,6969386,7170151,7260776,7343887,7559230,7603951,8024012,8168373,8294287,8388236,8466151,9071076,9150727,9295346,9600236,9999967,10198376,10205036,10337647,10567532,10798900,11050412,11244458,11421033,11473173,11842951,11966577,12008767,12091567,12407465,12504487,12856652,12915607,12958680,13001258,13243207,13488151,13817036,13822592,13857416,13874258,14245925,14578515,14888958,14917106,15190917,15253772,15264607,15427000,15449865,15550416,15589593,15609458,15612236,16106585,16447532,16479856,17031365,17095110,17158826,17162252,17355375,17494218,17724950,18084425,18202785,18234784,18250951,18355826,18512400,18539838,18588236,18619809,18944012,19172407,19248727,19327902,19416304,19697937,19746560,20158951,20175617,20309647,20364236,20437638,20514132,20685127,20826450,20897066,21132296,21269940,21308492,21569258,21701310,21800767,21839829,21843342,21856616,22133036,22214880,22242487,22389151,22687936,22972927,23073452,23148064,23335447,23449925,23695872,23773833,24244649,24588693,24610209,24895658,24991740,25066185,25402567,25480581,25523928,25718258,25882412,26041572,26258705,26309551,26655151,26657856,26737264,26861647,27204367,27628652,27816727,28002386,28139910,28154407,28535465,28687281,28699006,28714419,28811306,28822310,29030885,29042817,29133866,29136236,29171265,29222887,29937746,29990088,30015904,30079422,30207847,30334025,30661951,30945849,31099532,31116016,31304551,31432207,31510446,31750087,31753505,31813447,32169458,32428837,32594636,32652296,32692927,32879551,32921349,32959658,33168236,33651185,33738849,33767892,33985687,34081928,34151525,34242558,34313036,34390433,34448757,34586772,34629585,34706705,34837062,35005518,35088081,35187367,35226572,35305951,35373273,35424247,35464106,35509256,35682572,35777407,36186151,36365612,36400830,36467158,36475951,36593036,36702506,36733833,36856658,36935887,36938224,37004649,37050151,37352265,37388012,37447807,37645928,37703733,38104206,38294636,38342169,38454151,38827552,38893927,39086252,39274951,39383167,39652447,39763532,39842416,39947913,39989036,40079551,40344151,40381422,40502047,40513106,40764950,40777292,40981830,40998580,41010425,41023687,41029406,41414258,41428185,41487007,41538127,41555502,41648046,41771525,42109557,42145951,42152537,42351669,42495727,42534609,42792727,42797036,42904658,43135951,43233367,43318376,43496786,43680996,43713952,43727073,44002327,44190064,44349189,44657781,44660047,44695052,44822718,45258151,45362150,45494385,45696746,45799447,45949897,46140236,46154551,46326910,46374151,46441833,46721767,46788238,46844936,46995065,47289458,47469452,47736967,47839281,47860951,48007658,48132332,48150866,48475077,48527344,48551287,48579626,48733173,48750367,48917940,49129190,49178196,49198296,49212510,49684713,49713822,49784492,49885385,50125830,50130425,50204551,50653889,50900865,50984786,51209527,51320012,51328985,51356116,51429452,51622951,51648236,51792151,51821497,52095940,52110069,52179136,52241258,52353967,52488537,52493344,52700553,52740236,52912257,52958252,52973765,53019247,53164025,53233951,53467552,53475007,53555397,53682151,53769847,53827951,54170527,54198607,54294256,54434580,54446186,54448087,54589292,54593262,54719753,54745087,54798151,54944385,54946297,55110487,55348083,55387687,55592292,55671077,56189407,56224865,56322247,56394078,56430967,56622127,56643007,56725807,56787151,56860652,56882666,56951525,57358581,57401167,57407105,57510393,57595207,57614636,57663607,57708425,57817586,57861557,57877951,58034551,58063552,58353727,58394551,58474412,58569400,58607344,58613647,58617249,58656021,58701528,58727528,58767151,58903532,58955028,58999207,59055012,59056447,59137447,59163151,59244151,59331847,59397007,59415151,59505727,59546252,59609551,59622151,59626687,59628847,59646487,59659087,59797226,59862462,59916785,59984705,60114536,60150996,60156510,60189266,60217910,60388809,61081038,61486706,61576593,61594782,61666385,61713652,61841038,61841121,62258258,62515128,62753537,62954636,63052017,63272492,63405866,63457093,63568518,63756425,63796830,64013036,64038386,64151637,64164458,64166944,64329932,64654449,65321496,65454665,65541746,65642710,65804972,65890575,65914346,65933262,66039219,66068469,66181300,66435212,66655658,66840340,67015016,67146986,67469838,67470837,67510833,67628853,67757906,68005772,68049952,68284025,68341830,68423372,68486258,68607146,68658305,68888526,68968946,69146585,69250110,69255365,69569132,69808106,70068185,70283280,70296236,70329519,70881785,71127656,71465258,71900142,71933546,71981646,72187812,72261492,72897952,73086092,73358705,73365880,73486683,73600172,73866784,73999662,74030710,74968832,75053657,75061925,75372266,75391893,75714369,75842457,75932786,76039265,76283781,76507710,76556196,76667852,77277932,77312913,77375557,77811626,77836654,77935976,78494710,78545598,78771252,79001385,79068690,79150137,79417560,79530110,79721705,80018613,80037749,80050677,80138337,80208408,80311052,80322425,80633449,80643176,81014636,81244329,81444458,81608224,81940830,82010150,82010196,82142709,82389966,82497605,82536615,82667528,82716812,82975902,82976865,83091065,83100132,83106438,83465393,83967653,84081822,84211052,84268144,84339936,84611666,84686696,84712064,84754041,84806732,85010258,85058142,85158321,85163705,85196373,85203212,85406546,85505258,85621785,85721966,85796972,86003561,86838785,86981036,87177932,87353426,87370856,87403552,87469505,87539284,87677973,87697918,88021226,88030446,88039056,88162360,88191537,88344340,88508656,88836852,88886686,89237612,89247305,89335658,89344755,89469321,89560229,89647910,90074310,90190529,90234459,90348626,90408236,90559721,90652990,90712658,90713096,90723573,90814025,91247118,91329904,91392485,91612658,91671212,91809252,92215185,92417465,92935658,93000969,93121772,93430581,93455786,93656017,93775300,93885266,94193652,94469132,94565132,94704776,94801662,94882428,95044652,95207585,95255461,95272533,95298425,95301072,95436132,95484458,95486200,95666046,95714636,95814506,96001292,96030728,96079264,96223826,96386910,96710258,97065033,97069929,97549557,97919558,98257875,98292213,98328996,98362864,98412180,98587049,98604146,98631033,98757452,98905222,98997126,99043938,99182655,99572238,99701612,99709278,...,664170050713519216435576376156209233824880475610186344609669565371219515751253128328454502782384449730731387848133639198411895734994442555056676185693983111047090221228253133706619962134282930350794735946993038145228150584911320905763968657133368958141550154998412269446916129557284754039956450485700596154817345646802760654207712600516321501212946371391704487327127279706309604005969112192569850496853319216153322050047359515636796437181179192887708341723331256457775104028772405944983267705609704697330842726271542543250352750854332034092336784143327448225011905246279306018110745660617624327506061672920275015634534620404855287407377464033940394545204313408843956291812196642088312868700962342523819726125196817979438506904808896157803104440076730418072276263333468222505418806660966608778339714744643453824251860432868733213101048164164022818672862927198028945011527095971109299226351528425831555535481603806875275734885540309975195711179911729490653689159011897990762791991312999107056386159442291128044870914923053401055197391112774355593278454689605066181213770687422008812504808824234542552888646169262846375252330822367473332693325245149279382818617343944118850416838205883394813053421887459922041520277555955249112998218784765611694545711108068735845566176013962529901859741877402432187259260691193187904239645675306463224457727648801406552204660836300659205732393238165839717981011079859900106892961424964634182269884476758676105877625152409450590970097416896381339191018776953585947625277463749871687530639991555416662314154366577558466605082456897454411207380289415596315773982362737088084552519874784823366150919645012828167984951130445464887640552224704607644200702702244423080266214026426332845033002974653931121500877956955366510252978177411519573817078727871372826720217474365875287830031292450989648472305300847026070632987470985781704749778337175437304930748548354719545284133322341802811824322374115260718010897986179605973809550879760975564954599041813432193317246766137183191467176230670563857755647726894457894522379628927353095797900638371490936577111836803145739064258639905519278789442184186899979018999483668667636671106515673818037970051007410620884086244288533850977843129792675085962694635486057253968171925742004418159984943066276860190008225993696853892724998935212083026984219537873804801098738100839198027013468465996886935200439617077354815904974684851860451233781834719726195166981585935644417158410639205606043933621444}
15449  1967977431263350914345971915202285952965785007951039451066776233: {123544,138987,324219,385975,463170,494048,555804,879339,1311295,1573554,1866667,2389015,2807714,2866818,3128839,3311215,3366687,3973458,4011020,4078615,4420087,4466559,4469770,4608487,4691815,4751516,4813224,4894338,4978399,5151295,5363724,5414877,5457415,5630178,5836539,6181554,6268207,6314410,6353179,6374815,6383019,6548898,6787880,7201119,7577292,7636365,7649778,7798978,7957147,8116327,8145456,8485951,8662015,8908714,8923579,9075970,9163638,10030015,10317967,10394418,10454079,10485295,10598887,10727527,10891164,11338845,11794159,12000295,12036018,12094768,12125239,12582354,12747970,12756295,12943831,13209415,13346971,13498625,13606614,13737019,13813015,13943019,14400354,14419874,15026671,15185386,15213787,15228044,15297564,15307554,15419119,15484639,15851298,15955436,16070815,16198350,16294258,16505959,16575618,16866687,16989266,17207138,17271295,17278240,17321770,17936578,18044587,18379471,18490759,18540727,18739687,19060519,19067215,19124539,19175119,19283750,19284978,19438020,19501887,19515295,19544167,19851944,19959346,20254556,20559415,20599820,20719291,20725554,20733888,20786124,20811387,20953399,21322639,21452815,21639746,21657439,22057387,22333437,22375659,22793480,22880658,23140500,23235295,23325624,23392171,23395106,23414187,23418354,23668219,23680015,24270380,24381578,24582034,24671298,24683200,24719784,24826412,25058671,25391707,25455295,25642665,25738239,25743378,25770536,26241327,26263916,26282671,26323327,26415370,26587425,26635615,26841079,27170071,27226514,27247519,27250184,27320770,27352176,27533739,27666295,27709354,27768600,27809757,27882354,28052827,28091611,28359920,28416018,28570759,28841815,28935080,28991853,29012338,29119772,29124456,29155178,29416351,29427799,29600647,29610919,29619840,29821687,30044971,30118999,30546354,30656457,30771198,31040539,31070599,31239675,31345599,31594496,31603591,31698444,31904910,31962738,32320946,32353015,32353887,32551965,32765013,32784924,32813612,32940187,33027247,33148999,33199554,33245074,33322320,33421580,33974108,34031904,34198999,34326487,34535815,34610178,34722096,34862114,35341867,35543808,36084466,36420295,36566506,37076626,37129231,37343487,37487610,37519880,37700059,37903579,38079211,38234359,38249708,38285892,38577387,38666306,38723756,38823618,38874415,38895020,39062358,39109106,39569311,39798487,39958171,39986784,40105896,40743295,40815370,40984418,40989319,41056418,41261132,41442978,41460295,41931307,42003579,42013928,42091274,42209865,42292711,42310399,42461426,42602410,42891295,43048509,43216959,43233465,43700799,43704354,43895132,44033215,44386570,44603215,44688379,44869351,44876719,44906619,44985132,45023856,45119133,45457015,45656744,45741295,45931676,46077698,46111186,46115696,46172780,46195567,46449416,46649298,46674024,46735015,46784108,47057410,47075359,47164364,47265669,47507474,47516239,47868295,48175639,48254187,48429499,48534440,48857815,48872539,48891954,48978444,49339532,49439487,49487527,49650631,49704415,49752354,49803020,49986295,50110786,50161039,50271644,50543714,50651838,50805608,50971615,51097387,51122892,51159547,51248225,51281426,51363837,51386587,51469554,51533239,51876487,51880158,52255593,52354279,52508277,52558498,52593799,52600219,52639786,52726927,52839858,53196159,53263884,53367211,53496295,53523858,53841896,54147970,54433279,54548418,54601245,54642440,54700737,54889554,55004587,55053759,55136359,55169071,55237580,55284987,55407336,55530728,55868815,55899031,55979407,56082018,56098306,56146076,56468892,56510066,56712812,56804978,57017119,57156309,57220987,57441954,57602347,57675295,58082911,58090978,58241328,58302764,58556170,58609819,58629378,58638139,59132252,59193586,59336815,59543708,59645298,59759419,59763624,59983554,60165415,60203239,60572133,60659180,60769659,61147425,61165938,61472745,61497870,61544109,61729159,61922444,62080507,62121387,62230615,62236699,62333253,62360714,62472069,63386287,63451298,63759746,63785708,63965119,64054279,64150015,64171291,64195145,64195554,64286815,64356987,64560295,64633436,64718498,64977564,65119925,65223920,65245179,65521494,65570928,65597728,65616680,65925295,65985991,66197815,66246284,66285096,66834440,66862951,67042578,67234077,67361887,67619287,67867820,68043225,68141746,68193979,68236615,68371231,68545119,69210354,69215887,69285386,69480092,69490365,69492439,69543727,69693979,69846727,69984716,70182357,70267404,70364359,70390699,70527511,70549676,70562779,70934187,71075815,71204178,71407196,72011487,72018295,72198498,72203119,72226299,72334087,72579440,72791016,72869439,72881839,73093015,73211750,73259180,73376910,73409410,73629415,73693785,73734626,73767294,73797444,73818765,74062459,74089759,74100859,74123056,74432815,74570733,74676738,74948887,74958379,75143170,75188745,75192104,75407359,76449499,76477179,76478108,76479338,76680524,76980018,77034174,77142065,77144178,77162587,77445074,77472354,77487871,78143910,78156332,78208028,78268704,78361887,78606704,78652159,78693295,78740016,79090615,79110354,79116031,79128298,79353979,79373959,79437378,79816616,79913666,79944727,80016295,80092507,80201328,80208680,80412415,80518412,80728747,80756498,80880511,81199879,81419287,81441384,81651870,81669279,81797599,81883938,81889893,82000171,82052767,82102124,82126376,82256215,82454828,82726625,82866679,83044015,83058271,83353504,83388438,83482939,83550425,83587471,83768770,84026887,84069356,84144919,84267679,84591117,84758024,84973327,85007215,85062440,85077739,85225519,85290978,85323999,85529215,85535516,85777207,85812091,86067506,86205932,86421954,86663314,86703919,86726379,86961415,87018031,87095328,87659426,87711618,87790978,87854100,87870295,87911016,88052292,88091292,88312999,88355298,88432542,88582518,88652047,88909570,89319378,89487439,89599147,89625026,89695839,89793693,89797687,89949679,89959784,89961116,90014444,90159067,90171804,90226494,90234765,90283899,90326865,90876799,91106786,91107151,91122440,91357615,91383677,91621557,91707350,91851368,91990519,92000215,92128466,92230059,92333480,92392173,92570478,92761557,92899099,93065071,93137239,93217231,93379627,93387387,93711040,93772692,94023547,94183207,94431954,94908738,95108799,95199338,95352777,95695245,95834815,95861234,95866856,95892907,95975528,96019554,96057579,96246687,96248018,96250416,96338674,96348656,96494898,96514279,96597415,96611191,96656119,96986479,97419970,97788818,97982244,98312619,98464065,98666216,98707458,98871519,98899893,99026587,99271950,99319639,99442219,99652818,99713179,99983487,...,996255076070278824653364564234313850737320713415279516914504348056829273626879692492681754173576674596097081772200458797617843602491663832585014278540974666570635331842379700559929943201424395526192103920489557217842225877366981358645952985700053437212325232497618404170374194335927131059934675728550894232226018470204140981311568900774482251819419557087556730990690919559464406008953668288854775745279978824229983075071039273455194655771768789331562512584996884686662656043158608917474901558414557045996264089407313814875529126281498051138505176214991172337517857869418959027166118490926436491259092509380412523451801930607282931111066196050910591817806470113265934437718294963132469303051443513785729589187795226969157760357213344236704656660115095627108414395000202333758128209991449913167509572116965180736377790649303099819651572246246034228009294390797043417517290643956663948839527292638747333303222405710312913602328310464962793566769867594235980533738517846986144187986969498660584579239163436692067306372384580101582796086669161533389917682034407599271820656031133013218757213236351813829332969253894269562878496233551209999039987867723919074227926015916178275625257308825092219580132831189883062280416333932873669497328177148417541818566662103103768349264020943794852789612816103648280888891036789781856359468512959694836686591473202109828306991254450988808598589857248759576971516619789850160339442137446951273404826715138014158816437728614175886455146125344572008786528165430378921437916195624807531295959987333124993471231549866337699907623685346181616811070434123394473660973544105632126828779812177235049226379467519242251977426695668197331460828337056911466301054053366634620399321039639499267549504461980896682251316935433049765379467266117279360725618091807059240080326211548812931745046938676484472708457951270539105949481206478672557124667505763155957396122822532079317926199983512704217736483561172891077016346979269408960714326319641463347431898562720148289975870149205774787200764346005845786633471590341686841783569443391029643696850957557236404865667755204718608596387959858278918184163276280349968528499225503001455006659773510727056955076511115931326129366432800776466764694689012628944041953229085880952257888613006627239977414599415290285012338990545280839087498402818124540476329306810707201648107151258797040520202698995330402800659425616032223857462027277790676850672752079589292750472378903466625737615958808409065900432166}
15450  1976750577312341396897919643915463546883193959217211570924147178: {108101,154430,169829,185316,354821,432292,570281,617560,694755,741072,833706,908069,1030661,1122521,1172452,1367129,1447694,1550249,2006789,2097881,2098072,2183534,2310149,2360331,2491781,2642921,2733509,2733902,2763689,2914469,3395621,3545561,3814949,3822424,3904601,3994181,4202921,4211571,4300227,4488916,4559102,4708229,4737881,5013775,5270249,5297944,5417669,5466302,5535461,5623721,5858729,5939395,5955412,5960187,5976041,6016530,6297989,6417632,6502361,6525784,6704655,6997061,7127274,7151632,7219836,7341507,7460549,7506904,7518341,7778009,7782052,8045586,8242072,8381381,8445267,8484850,8495909,8510692,8731864,8895749,9009701,9180389,9272331,9415214,9471615,9593054,9601492,9662441,9823347,10085861,10103056,10181820,10198469,10199704,10451369,10480094,10582922,10591589,10703621,10787561,10860608,11038949,11365938,11474667,11678441,11698467,11872229,12010409,12038021,12120809,12218184,12506201,12533669,12917381,12944654,13190501,13363071,13613955,13734341,13745457,13859224,13938772,14059109,14340302,14521552,14624681,14687774,14705189,14865989,14973029,15106649,15118460,15207902,15266729,15293381,15591627,15824741,15904169,16048024,16089221,16168409,16336746,16588574,16776472,16932302,17113049,17370451,17477609,18054027,18098921,18142152,18279269,18301454,18356441,18407849,18484901,18590692,18873531,19035055,19121955,19200472,19251461,19657349,19944295,19999934,20161829,20312549,20337641,20396752,20409921,20410072,20675294,20713061,20762981,21135064,21458501,21532649,21597800,21600531,21629811,21754661,21803909,22100824,22270169,22392389,22416809,22488916,22549219,22778079,22842066,22946346,22961331,23000489,23290601,23362949,23627609,23685902,23776947,23843911,23867369,23933154,24010841,24017534,24082469,24183134,24297525,24441387,24581849,24814930,24842021,24863427,24936389,25008974,25318195,25429721,25483899,25713304,25749775,25810707,25831214,25896281,25917360,25982655,26002516,26336549,26486414,26590121,26750981,26819801,26888549,26904867,26976302,27231209,27345029,27504041,27634072,27645184,27685289,27714832,27748516,27843461,28158629,28181081,28449881,28491850,28494569,28628441,28652767,28925625,28927467,29157030,29381609,29777916,29834212,29885861,29939019,29951321,30103781,30337975,30381834,30507544,30529214,30688169,30752741,30795749,30854000,30860201,30899730,31033015,31088331,31100832,31179186,31218916,31224472,31500761,31754969,31818341,32029061,32134121,32213170,32459619,32697989,32781029,32822501,32829895,32895064,32905349,32959712,32967401,33502169,33624809,34011269,34062730,34190220,34294181,34317652,34320987,34324504,34354601,34495301,34535429,34710750,34715609,34954841,34988436,35092659,35127531,35331269,35390441,35449541,35449900,35783081,36017129,36168850,36366041,36399715,36405570,36423941,36469568,36481769,36501902,36572367,36711652,36762187,36769829,36873051,36903641,36998981,37006947,37024800,37075109,37079676,37176472,37239618,37340549,37698281,37735769,37810649,37888024,38344814,38478809,38497454,38615067,38655804,38832608,38918489,39027689,39082181,39281369,39395874,39493120,39623055,39676841,39949651,40103849,40156901,40317902,40351234,40368389,40473701,40619294,40643239,40728472,40839771,40875276,40981155,41017015,41028264,41030501,41082281,41370254,41510981,41562089,41564031,41652900,41748869,41776975,41794132,41823531,41917829,41968361,42052421,42169769,42219941,42264592,42467635,42519461,42539880,42616984,42624027,42799961,42849221,42963881,43012901,43138516,43240709,43256921,43402620,43518507,43601534,43627589,43679658,43686684,43713232,43732767,43739561,43962329,44025689,44215001,44266072,44429760,44454907,44484974,44527961,44683241,44760581,44778302,45220421,45281189,45375872,45402341,45553061,45819531,45822341,45852101,45896681,45945854,46000421,46146904,46156797,46177349,46221401,46296128,46527749,46670894,46744409,46773161,46816229,46899850,47087321,47111659,47327429,47391744,47547666,47620841,47759321,47812135,47857365,47869529,47944107,48197081,48332201,48372581,48404695,48481419,48489298,48560069,48589387,48618775,48772421,48930341,48995801,49034981,49177386,49220418,49229801,49358681,49575941,49664729,49702661,49791316,49799331,49803461,49853669,49867611,49891241,49928741,49983480,50132370,50226149,50397509,50651609,50805134,50878469,50961162,51020261,51043781,51047856,51079001,51114149,51436516,51473129,51576415,51764824,51801989,51902681,51915267,51980549,52083144,52102121,52178981,52211801,52293171,52364009,52374821,52517410,52525349,52568069,52619102,52684889,52821701,52853081,52884389,53029541,53193509,53284841,53310302,53315712,53435621,53474528,53663321,53702489,53723294,53838569,54020741,54039749,54126699,54181289,54330281,54408734,54458969,54468101,54622121,54649061,54729449,54809189,54818009,54844421,54849759,54868915,55001381,55121669,55257304,55324229,55357541,55407269,55448489,55505861,55579049,55614939,55619429,55633454,55643561,55973849,55996901,56004772,56050409,56073221,56156249,56231415,56279820,56308814,56355941,56485829,56535641,56654981,56737829,56799209,56826281,56859941,56880041,56946521,56966309,57038249,57070930,57077081,57134789,57266921,57374562,57383429,57398012,57414595,57428838,57437609,57491141,57538181,57555689,57578921,57622612,57642149,57644620,57693161,57710021,57715975,57809669,57975209,57999459,58047449,58052549,58061770,58085634,58128089,58226009,58235427,58267732,58272472,58325381,58342530,58445774,58452389,58480135,58593537,58602329,58631141,58643369,58663589,58663659,58699481,58746329,58784489,58825541,58862021,58869221,58894169,58942889,58955455,59006501,59013029,59073449,59125061,59177189,59188421,59310809,59355269,59375321,59386181,59407301,59413481,59419589,59429609,59480261,59521961,59534249,59548889,59577029,59590361,59603801,59618981,59624549,59632361,59634821,59644649,59652521,59653721,59655461,59664809,59674469,59675621,59863687,59875492,59980176,60031808,60158844,60415694,60668050,61157371,61223055,61323902,61476627,61584627,61674415,61891698,62164467,62199064,62232032,62253775,62609102,62839555,62864414,63020892,63136911,63500174,63507010,63626894,63692139,63903615,64338916,64668799,64857674,65189272,65304592,65385854,65556531,65759102,65793091,65842698,65919316,66336472,66579855,67302370,67477698,67535784,67971374,68163856,68303050,68485116,68626072,68780866,68897514,68905507,69046975,69116547,69166779,69173544,69259170,69413410,69674124,69839539,69973947,70011036,70176162,70182595,70374734,70453144,70586115,70611902,70746546,70848494,70891015,70928212,71018512,71261211,71365144,71554814,71860579,72372302,72731224,72801660,72878455,72934316,72951902,73186072,73337931,73405012,73467666,73713316,73871774,73876448,73915315,74009298,74100302,74163271,74429635,74628531,74704530,74776024,74895614,75166179,75291856,75407466,75815571,75823975,75977757,76208412,76589272,76684338,76908302,76922139,77204331,77403055,77655104,77787854,77820237,78172504,78549902,78714811,78766334,78837747,78959679,79259787,79304894,79527064,79684832,79732135,79895826,79978072,80159102,80285787,80369947,80688302,80762844,80791795,81004094,81026212,81221955,81529900,81554584,81822627,81963660,81997160,82020850,82047374,82058812,82334331,82807855,82828516,82856370,82974014,83076254,83111004,83296092,83543050,83883499,83978587,84123027,84147459,84219114,84291902,84305074,84703338,84765099,84834775,84991454,85069218,85207467,85585454,85594072,85809316,86162931,86271902,86332939,86466734,86636752,86850115,86993572,87136467,87361992,87427904,87454146,87480895,87834255,87944067,88004654,88187095,88380128,88698378,88790379,89221627,89258995,89315562,89320094,89390104,89467947,89645436,89975331,90516302,90724300,90988770,91393492,91573975,91598894,91636531,91748907,91899794,92246805,92280472,92309102,92653820,92748302,92883666,93284851,93443534,93541071,93576476,93689872,93990130,94578916,94590067,94938904,95176947,95473934,95597635,95639619,95678562,95721902,95850655,96015316,96121627,96264664,96293331,96301732,96805219,96950154,96957511,97054688,97077747,97102574,97159252,97466346,97500734,97695415,97760035,97835880,98095459,98258380,98282241,98356392,98396592,98425020,98640919,99234499,99369426,99427644,99568984,99770770,...,1494382614105418236980046846351470776105981070122919275371756522085243910440319538739022631260365011894145622658300688196426765403737495748877521417811461999855952997763569550839894914802136593289288155880734335826763338816050472037968929478550080155818487848746427606255561291503890696589902013592826341348339027705306211471967353351161723377729129335631335096486036379339196609013430502433282163617919968236344974612606558910182791983657653183997343768877495327029993984064737913376212352337621835568994396134110970722313293689422247076707757764322486758506276786804128438540749177736389654736888638764070618785177702895910924396666599294076365887726709705169898901656577442444698703954577165270678594383781692840453736640535820016355056984990172643440662621592500303500637192314987174869751264358175447771104566685973954649729477358369369051342013941586195565126275935965934995923259290938958120999954833608565469370403492465697444190350154801391353970800607776770479216281980454247990876868858745155038100959558576870152374194130003742300084876523051611398907730984046699519828135819854527720743999453880841404344317744350326814998559981801585878611341889023874267413437885963237638329370199246784824593420624500899310504245992265722626312727849993154655652523896031415692279184419224155472421333336555184672784539202769439542255029887209803164742460486881676483212897884785873139365457274929684775240509163206170426910107240072707021238224656592921263829682719188016858013179792248145568382156874293437211296943939980999687490206847324799506549861435528019272425216605651185091710491460316158448190243169718265852573839569201278863377966140043502295997191242505585367199451581080049951930598981559459248901324256692971345023376975403149574648069200899175919041088427137710588860120489317323219397617570408014726709062686926905808658924221809718008835687001258644733936094184233798118976889299975269056326604725341759336615524520468904113441071489479462195021147847844080222434963805223808662180801146519008768679950207385512530262675354165086544465545276436335854607298501632807077912894581939787418377276244914420524952792748838254502182509989660266090585432614766673896989194049649201164700147042033518943416062929843628821428386832919509940859966121899122935427518508485817921258631247604227186810714493960216060802472160726888195560780304048492995604200989138424048335786193040916686015276009128119383939125708568355199938606423938212613598850648249}
15451  1985562523693073530677176211689849131018010514848870164867742987: {15451,231645,247088,277974,540365,648438,771950,926340,988096,1111608,1250559,1465565,1758678,1835813,2171541,2206061,2622590,3147108,3275301,3344621,3733334,4100853,4635701,4778030,5564093,5611145,5615428,5710061,5733636,6257678,6568541,6622430,6733374,6838653,7211813,7407881,7444265,7640381,7946916,8022040,8157230,8199453,8840174,8924741,8933118,8939540,9024795,9071189,9216974,9383630,9403901,9503032,9626448,9727565,9788676,9956798,10302590,10638365,10690911,10727448,10829754,10914830,11250821,11260356,11329901,11673078,11989589,12001865,12068379,12126821,12193961,12363108,12536414,12628820,12706358,12727275,12749630,12766038,13097741,13097796,13348709,13575760,13836509,14042021,14122821,14389581,14402238,14679413,15154584,15272730,15299556,15597956,15720141,15773693,15874383,15914294,15941801,16232654,16290912,16800413,16971902,17048907,17233133,17324030,17423465,17644301,17758793,17817428,17847158,17858813,18151940,18327276,18381869,18493181,18898075,19063001,19338221,19416981,20060030,20497541,20635934,20721989,20788836,20908158,20970590,21051113,21197774,21302933,21325421,21392261,21455054,21510453,21721193,21782328,22031661,22398461,22499141,22677690,22811853,23238365,23320841,23588318,23671301,24000590,24072036,24179813,24189536,24205373,24250478,24505119,24882861,25164708,25395029,25398453,25495940,25512590,25887662,26067821,26418830,26693942,26694101,26844581,26997250,27173609,27213228,27321413,27391661,27452181,27474038,27626030,27645293,27886038,27889133,28095269,28111145,28783181,28800708,28839748,29043869,29420189,29614793,29998853,29999901,30008381,30033941,30053342,30122921,30370772,30380669,30427574,30456088,30595128,30615108,30838238,30969278,31012941,31044581,31702596,31910872,32141630,32396700,32493833,32503145,32529413,32588516,32889893,33011918,33047813,33151236,33152021,33153341,33362549,33733374,33783149,33978532,34203461,34263099,34414276,34419519,34542590,34556480,34643540,34685645,35507693,35528853,35637413,35873156,35899731,36026301,36089174,36274701,36758942,36981518,37081454,37222395,37289861,37292765,37327301,37479374,37513461,38121038,38134430,38249078,38350238,38387849,38404733,38567500,38569956,38732813,38746821,38876040,38940413,39003774,39023645,39030590,39032201,39088334,39703888,39729621,39918692,40292549,40378541,40464453,40509112,40774313,41118830,41199640,41438582,41451108,41467776,41572248,41622774,41767661,41906798,42298229,42315941,42645278,42737775,42897065,42905630,43279492,43314878,43735545,44114774,44312375,44666874,44751318,45294221,45572751,45586960,45757853,45761316,45793821,45889565,46281000,46349595,46470590,46651248,46768779,46784342,46790212,46828374,46836708,47081501,47223293,47288093,47336438,47360030,47963789,48319755,48350141,48404393,48540760,48763156,48878933,49164068,49342596,49366400,49439568,49555181,49652824,49657109,50005721,50117342,50156333,50783414,50793221,50910590,50988413,51094095,51285330,51476478,51486756,51541072,52066125,52072613,52242665,52482654,52527832,52565342,52600661,52646654,52830740,53057021,53174850,53271230,53620421,53682158,53923145,54253275,54340142,54424181,54440381,54453028,54495038,54500368,54594761,54608355,54641540,54704352,54752853,55067478,55143581,55176269,55309589,55332590,55418708,55537200,55619514,55764708,55859427,56105654,56183222,56719840,56832036,57039209,57040613,57141518,57224681,57517221,57595973,57683630,57746181,57870160,57934349,57983706,58024676,58044413,58239544,58248912,58310356,58625813,58832702,58855598,59093811,59201294,59221838,59239680,59643374,60047813,60089942,60237998,60387821,60476853,60526851,60600413,60849701,60899801,60928941,61092708,61312914,61542396,61646501,62055381,62081078,62088629,62141198,62239145,62245721,62313641,62444501,62479350,62691198,62789309,63188992,63207182,63396888,63639821,63809820,63925476,64037813,64140653,64295645,64641461,64641892,64706030,64707774,65005421,65103930,65402301,65429021,65519487,65530026,65569848,65627224,65880374,65978933,66054494,66157481,66297998,66346589,66399108,66478301,66490148,66644640,66727461,66843160,66871709,67015613,67167453,67285973,67624469,67948216,68063808,68075501,68397998,68400941,68652974,68918781,68991413,69071630,69220356,69444192,69586181,69724228,69784613,69980813,70005965,70006341,70349775,70536749,70683734,71087616,71321499,71360261,71373893,71474189,71706413,71747515,71833613,72028265,72055775,72129293,72168932,72733947,72834665,72840590,72843941,73133012,73766079,73830627,73848101,74153252,74258462,74285021,74686974,74844365,74894813,74975220,75039760,75198555,75319541,75400118,75807158,76158422,76207701,76441743,76468718,76499416,76571784,77154774,77332612,77439113,77447512,77499341,77647236,77748830,77790040,78063989,78124716,78216341,78218212,78776115,78928653,79138622,79336181,79596974,79916342,79965453,79973568,80000009,80053133,80211792,80423645,80458841,80584941,80745413,81456173,81486590,81613101,81630740,81968836,81978638,82112836,82188041,82399145,82522264,82885956,82920590,83071541,83450181,83862614,84007158,84027856,84181541,84182548,84231581,84278813,84419730,84463221,84572309,84585422,84620798,84922852,85204820,85274381,85606395,85782590,86055341,86061843,86097018,86143257,86433918,86466930,87029429,87092655,87122861,87128451,87401598,87408708,87513795,87668661,87790264,88066430,88229333,88324553,88660265,88773140,89206430,89349989,89376758,89738702,89753438,89810021,89813238,89873203,89961461,89970264,90001541,90047712,90238266,90384413,90623541,90914030,91002075,91103141,91167895,91188413,91262813,91313488,91482590,91756265,91863352,91985853,92141645,92155396,92222372,92231392,92295413,92345560,92391134,92676941,92837547,92898832,92911253,93298596,93348048,93392189,93470030,93568216,93913653,94114820,94150718,94195529,94296621,94328728,94468469,94531338,94654781,94970189,95014948,95032478,95250261,95260515,95406701,95440341,95501801,95531261,95736590,96048221,96351278,96508374,96858998,96909293,97068880,97286511,97557641,97715630,97745078,97764413,97783908,97956888,98078781,98291933,98638653,98679064,98764047,98785193,98878974,98975054,99301262,99332633,99350213,99408830,99504708,99506141,99606040,99972590,99978461,...,1992510152140557649306729128468627701474641426830559033829008696113658547253759384985363508347153349192194163544400917595235687204983327665170028557081949333141270663684759401119859886402848791052384207840979114435684451754733962717291905971400106874424650464995236808340748388671854262119869351457101788464452036940408281962623137801548964503638839114175113461981381839118928812017907336577709551490559957648459966150142078546910389311543537578663125025169993769373325312086317217834949803116829114091992528178814627629751058252562996102277010352429982344675035715738837918054332236981852872982518185018760825046903603861214565862222132392101821183635612940226531868875436589926264938606102887027571459178375590453938315520714426688473409313320230191254216828790000404667516256419982899826335019144233930361472755581298606199639303144492492068456018588781594086835034581287913327897679054585277494666606444811420625827204656620929925587133539735188471961067477035693972288375973938997321169158478326873384134612744769160203165592173338323066779835364068815198543641312062266026437514426472703627658665938507788539125756992467102419998079975735447838148455852031832356551250514617650184439160265662379766124560832667865747338994656354296835083637133324206207536698528041887589705579225632207296561777782073579563712718937025919389673373182946404219656613982508901977617197179714497519153943033239579700320678884274893902546809653430276028317632875457228351772910292250689144017573056330860757842875832391249615062591919974666249986942463099732675399815247370692363233622140868246788947321947088211264253657559624354470098452758935038484503954853391336394662921656674113822932602108106733269240798642079278998535099008923961793364502633870866099530758934532234558721451236183614118480160652423097625863490093877352968945416915902541078211898962412957345114249335011526311914792245645064158635852399967025408435472967122345782154032693958538817921428652639282926694863797125440296579951740298411549574401528692011691573266943180683373683567138886782059287393701915114472809731335510409437217192775919716557836368326552560699937056998451006002910013319547021454113910153022231862652258732865601552933529389378025257888083906458171761904515777226013254479954829198830580570024677981090561678174996805636249080952658613621414403296214302517594081040405397990660805601318851232064447714924054555581353701345504159178585500944757806933251475231917616818131800864332}
15452  1994413440643565085574352181163824053929443110237331442512173645: {200707,216202,308860,339658,370632,416961,709642,864584,938851,972657,1140562,1157925,1214467,1235120,1389510,1482144,1580947,1667412,1816138,2061322,2128507,2245042,2344904,2492107,2638017,2734258,2764051,2895388,2944987,3100498,3215851,3933885,4013578,4195762,4196144,4367068,4620298,4720662,4738507,4983562,5005051,5285842,5467018,5467804,5527378,5600001,5712667,5828938,6328051,6590707,6791242,7019285,7091122,7167045,7629898,7644848,7807867,7809202,7988362,8315153,8405842,8423142,8600454,8925451,8977832,9118204,9352051,9386517,9416458,9475762,9933645,9946267,10027550,10100061,10540498,10595888,10835338,10872907,10932604,11070922,11174425,11247442,11291227,11717458,11878790,11910824,11920374,11952082,12033060,12039667,12235845,12535387,12595978,12835264,13004722,13051568,13260261,13355827,13399677,13409310,13825461,13994122,14075445,14254548,14303264,14330851,14439672,14683014,14734051,14894827,14921098,14935197,15013808,15036682,15135451,15295507,15453885,15556018,15564104,15786025,16091172,16170667,16244631,16372245,16484144,16723051,16762762,16890534,16969700,16991818,17021384,17115451,17463728,17506051,17509617,17791498,18019402,18127267,18360778,18436147,18544662,18804621,18830428,18943230,19059537,19124445,19149057,19186108,19202984,19324882,19432051,19497445,19646694,19963267,20171722,20206112,20340547,20363640,20396938,20399408,20790907,20902738,20960188,21165844,21183178,21313051,21407242,21535747,21575122,21603357,21721216,21905467,22077898,22271785,22420051,22689925,22731876,22909095,22931107,22949334,23293987,23356882,23396934,23655067,23744458,23870851,23871441,24020818,24076042,24085987,24241618,24348981,24371827,24436368,25012402,25067338,25292851,25457853,25834762,25889308,25986045,26381002,26649077,26726142,26770737,27029851,27227910,27468682,27490914,27508147,27718448,27877544,27922013,28118218,28185307,28521187,28680604,28721851,29043104,29187547,29249362,29375548,29410378,29731978,29912227,29946058,30043051,30090045,30173587,30213298,30236920,30415804,30533458,30586762,30953901,31183254,31207507,31362237,31455885,31649482,31704541,31796661,31808338,31869925,32096048,32097067,32178442,32182581,32336818,32673492,33177148,33552944,33862361,33864604,34016535,34138051,34226098,34319707,34560907,34740902,34741051,34920547,34955218,35382477,35445473,35749627,35925451,36000885,36049685,36108054,36197842,36284304,36375717,36558538,36602908,36712882,36815698,36969802,37181384,37365451,37535227,37747062,37928851,37963465,38070110,38096467,38243910,38268885,38374387,38400944,38502922,38831493,38870107,39314698,39628245,39888590,39999868,40040913,40323658,40480387,40495875,40625098,40675282,40735645,40793504,40819842,40820144,41211057,41350588,41426122,41439045,41525962,41823547,41829057,41924851,42076267,42270128,42473165,42774307,42917002,42922051,43017845,43065298,43195600,43201062,43259622,43264267,43304425,43446221,43509322,43554787,43607818,43747027,44201648,44540338,44784778,44833618,44841445,44977832,45080013,45098438,45556158,45641361,45684132,45892692,45922662,45961853,46000978,46257357,46453917,46535947,46581202,46725898,46924747,47255218,47265451,47371804,47553894,47687822,47734738,47866308,48021682,48035068,48164938,48209375,48212445,48219307,48366268,48595050,48882774,49163698,49367707,49517877,49597747,49629860,49673851,49684042,49726854,49862851,49872778,49898365,50017948,50050051,50309107,50600061,50636390,50673067,50709067,50859442,50959601,50967798,51065107,51135451,51205507,51426608,51499550,51621414,51662428,51792562,51813885,51834720,51965310,51990451,52005032,52221787,52254547,52384867,52673098,52894627,52972828,53180242,53203867,53355787,53501962,53639602,53777098,53809734,53952604,54042109,54099365,54133761,54341107,54462418,54478987,54642067,54690058,54749347,54829051,55008082,55038427,55090051,55138413,55268144,55268467,55290368,55343851,55370578,55429664,55472277,55497032,55517227,55622181,55686922,55946851,56062051,56130307,56175451,56219061,56317258,56362162,56899762,56983700,56989138,57153427,57181557,57201645,57256882,57305534,57373617,57395851,57423821,57525357,57574051,57660451,57778387,57827851,57851250,57854934,58065451,58141051,58258267,58314060,58487765,58505661,58545885,58582267,58619851,58632501,58705027,58763218,58763707,58875667,58886467,58960051,59150851,59369587,59434027,59454689,59457787,59550451,59555832,59580187,59619787,59634907,59667667,59668424,59690347,59771722,59878038,59902642,60207562,60675950,60763668,60953945,61015088,61058428,61376338,61455085,61505482,61591498,61678245,61708000,61720402,61799460,62066030,62157873,62176662,62201664,62358372,62434161,62437832,62448944,62860197,63001522,63509938,63636682,63967917,64058122,64268242,64358445,64426340,64919238,64972317,65395978,65562058,65645002,65659790,65790128,65810698,65919424,65934802,66038425,66172161,66239701,66936989,67000311,67004338,67126977,67249618,67766573,68022538,68066285,68125460,68301925,68380440,68588362,68635304,68641974,68649008,68709202,68990602,69070858,69273385,69421500,69431218,69705885,69909682,69976872,70176513,70185318,70242561,70255062,70662538,70780882,70899082,70899800,71004657,71040045,71566162,72034258,72206981,72276893,72337700,72530845,72732082,72799430,72811140,72847882,72887945,72939136,72963538,73003804,73144734,73423304,73524374,73539658,73746102,73807282,73997962,74013894,74049600,74150218,74159352,74352944,74479236,74681098,75176013,75396562,75471538,75621298,75665113,75776048,76175121,76365885,76689628,76816481,76927995,76957618,76994908,77214717,77230134,77311608,77665216,77836978,78055378,78164362,78562738,78723981,78791748,78848013,78969981,78986240,79246110,79353682,79762275,79899302,79906845,80207698,80313802,80380433,80523237,80635804,80702468,80736778,80802365,80947402,81238588,81286478,81433781,81456944,81510213,81679542,81742557,81750552,81872189,81962310,82034030,82056528,82061002,82164562,82537637,82601217,82740508,82998885,83021962,83112685,83124178,83128062,83305800,83429271,83497738,83553950,83588264,83647062,83835658,83936722,84104842,84158481,84274833,84339538,84439882,84529184,84935270,85038922,85079760,85233968,85248054,85599922,85698442,85712277,85927762,86025802,86277032,86344181,86481418,86513842,86525445,86805240,86975559,87037014,87155285,87203068,87255178,87359316,87373368,87426464,87465534,87479122,87483121,87924658,87975377,88051378,88249053,88283397,88430002,88532144,88801941,88832757,88859520,88909814,88969948,89055922,89366482,89465061,89521162,89556604,90134913,90211165,90356997,90440842,90562378,90751744,90804682,91106122,91416265,91639062,91644682,91704202,91793362,91891708,91969371,92000842,92293808,92313594,92354698,92442802,92592256,92691565,93055498,93121617,93211797,93341788,93488818,93546322,93632458,93719025,93799700,94036797,94174642,94223318,94654858,94783488,94810773,95095332,95241682,95518642,95624270,95714730,95739058,95888214,96394162,96664402,96665765,96745162,96809390,96962838,96978596,97059045,97061661,97120138,97178774,97237550,97544842,97655895,97772765,97860682,97991602,98069962,98255633,98295039,98354772,98440836,98459602,98612701,98717362,98820561,99081741,99151882,99247421,99329458,99405322,99446997,99582632,99598662,99606922,99707338,99718289,99735222,99782482,99857482,99966960,...,2988765228210836473960093692702941552211962140245838550743513044170487820880639077478045262520730023788291245316601376392853530807474991497755042835622923999711905995527139101679789829604273186578576311761468671653526677632100944075937858957100160311636975697492855212511122583007781393179804027185652682696678055410612422943934706702323446755458258671262670192972072758678393218026861004866564327235839936472689949225213117820365583967315306367994687537754990654059987968129475826752424704675243671137988792268221941444626587378844494153415515528644973517012553573608256877081498355472779309473777277528141237570355405791821848793333198588152731775453419410339797803313154884889397407909154330541357188767563385680907473281071640032710113969980345286881325243185000607001274384629974349739502528716350895542209133371947909299458954716738738102684027883172391130252551871931869991846518581877916241999909667217130938740806984931394888380700309602782707941601215553540958432563960908495981753737717490310076201919117153740304748388260007484600169753046103222797815461968093399039656271639709055441487998907761682808688635488700653629997119963603171757222683778047748534826875771926475276658740398493569649186841249001798621008491984531445252625455699986309311305047792062831384558368838448310944842666673110369345569078405538879084510059774419606329484920973763352966425795769571746278730914549859369550481018326412340853820214480145414042476449313185842527659365438376033716026359584496291136764313748586874422593887879961999374980413694649599013099722871056038544850433211302370183420982920632316896380486339436531705147679138402557726755932280087004591994382485011170734398903162160099903861197963118918497802648513385942690046753950806299149296138401798351838082176854275421177720240978634646438795235140816029453418125373853811617317848443619436017671374002517289467872188368467596237953778599950538112653209450683518673231049040937808226882142978958924390042295695688160444869927610447617324361602293038017537359900414771025060525350708330173088931090552872671709214597003265614155825789163879574836754552489828841049905585497676509004365019979320532181170865229533347793978388099298402329400294084067037886832125859687257642856773665839019881719932243798245870855037016971635842517262495208454373621428987920432121604944321453776391121560608096985991208401978276848096671572386081833372030552018256238767878251417136710399877212847876425227197701296498}
15453  2003303499142828504077913533680142799828030544736043886278348442: {30902,324303,386075,463290,494176,509487,555948,756511,1064463,1080730,1296876,1543900,1710843,1852680,1976192,2051791,2084265,2223216,2501118,2607163,2724207,2931130,3091983,3367563,3517356,3619235,3671626,4101387,4343082,4412122,4650747,4916747,5245180,5458835,6020367,6026483,6293643,6294216,6550602,6689242,6834755,6930447,6945851,7080993,7466668,7475343,7855603,7928763,8200527,8201706,8291067,8743407,9271402,9556060,9983567,10186863,10272467,10421971,10636683,11128186,11222290,11230856,11397755,11420122,11444847,11467272,11713803,11982543,12515356,12574447,12608763,12634713,12900681,13137082,13244860,13389883,13466748,13618591,13665755,13677306,13860083,14022767,14124687,14213643,14423626,14790751,14815762,14888530,14893711,15041325,15280762,15423131,15775747,15810747,15893832,16044080,16253007,16314460,16398906,16606383,16629023,16802611,16871163,17576187,17680348,17817307,17818185,17849482,17866236,17879080,17880561,17928123,18049590,18142378,18290387,18433948,18744563,18767260,18807802,18893967,19006064,19053947,19252896,19455130,19507083,19577352,19913596,20113965,20605180,20958851,20991183,21212125,21276730,21305707,21381822,21454896,21659508,21724027,21829660,22024521,22381647,22501642,22520712,22555023,22659802,23334027,23346156,23538035,23979178,23982635,24003730,24136758,24253642,24387922,24392851,24458443,24726216,25072828,25081247,25144143,25257640,25281763,25335801,25412716,25454550,25487727,25499260,25532076,26195482,26195592,26200235,26457305,26687247,26697418,27029103,27151520,27541167,27673018,27816993,27883451,28084042,28245642,28414845,28779162,28804476,28987323,29047651,29056907,29358826,29470041,30002767,30012307,30052847,30257583,30309168,30545460,30595407,30599112,31195912,31354107,31440282,31547386,31748766,31774767,31828588,31883602,32110863,32361635,32362683,32371963,32465308,32533711,32581824,33116847,33375107,33600826,33928031,33943804,34097814,34424001,34466266,34648060,34734787,34846930,35035323,35095401,35288602,35517586,35609267,35616687,35631371,35634856,35694316,35717626,35850755,35904427,36031227,36114063,36303880,36362427,36654552,36719435,36763738,36935791,36986362,37518603,37601007,37796150,38019755,38050171,38126002,38676442,38721971,38752143,38833962,39355603,39428467,39571503,40089213,40120060,40260427,40841865,40995082,41203023,41236371,41271868,41443978,41471435,41577672,41816316,41941180,42102226,42177327,42330755,42395548,42605866,42650842,42784522,42910108,43020906,43348691,43442386,43564656,43874043,44063322,44114083,44115567,44597967,44796922,44888483,44896907,44919087,44998282,45319947,45355380,45504403,45571291,45623706,45753635,45800187,45880143,46095887,46476730,46641682,46774881,46862651,47176636,47294287,47342602,47474223,47618467,47712507,48001180,48144072,48267663,48359626,48379072,48410746,48500956,48505227,48559903,48825227,48913567,49010238,49765722,49999835,50329416,50790058,50796906,50991880,51025180,51339147,51688235,51742627,51763151,51775324,52079407,52111353,52135642,52164587,52209871,52432827,52837660,53387884,53388202,53689162,53994500,54162081,54296763,54347218,54426456,54633103,54642826,54783322,54837807,54904362,54948076,54979891,55069323,55223547,55252060,55290586,55454703,55772076,55778266,55888747,56190538,56222290,56620593,57046651,57105165,57365865,57566362,57601416,57679496,57683027,57754383,58087738,58357843,58625183,58840378,58972047,59214755,59229586,59562767,59832885,59997706,59999802,60016762,60043835,60055891,60067882,60106684,60245842,60457835,60485487,60735251,60741544,60761338,60855148,60912176,60937647,61012923,61190256,61229763,61230216,61676476,61733131,61938556,62025882,62037325,62089162,62139183,62288943,62522435,63405192,63821744,63870523,64245391,64283260,64375503,64411787,64578035,64597947,64793400,64801593,64889433,64987666,65006290,65058826,65177032,65263983,65411727,65779786,66023836,66095626,66216035,66302472,66304042,66306682,66725098,66810507,67177167,67250427,67440755,67466748,67566298,67647657,67794703,67838483,67957064,68215507,68334237,68406922,68467867,68526198,68766991,68828552,68839038,68883993,69001467,69020723,69085180,69112960,69287080,69371290,69568747,69871803,70088847,70880267,70882827,71015386,71057706,71229625,71274826,71330841,71483551,71531733,71602107,71746312,71799462,71843011,71913283,72032523,72052602,72178348,72247407,72549402,72892575,73139731,73324161,73517884,73745547,73793347,73963036,74162908,74205547,74444790,74526063,74579722,74585530,74590281,74654602,74809167,74895883,74958748,75026922,75492403,75954585,76242076,76268860,76289163,76323035,76451697,76498156,76700476,76775698,76809466,76938671,77103727,77135000,77139912,77249325,77432121,77465626,77493642,77688843,77752080,77880826,77947965,78007548,78047290,78061180,78064402,78176668,78569611,79009647,79407776,79459242,79770363,79837384,79919827,80252943,80459403,80532925,80585098,80665647,80714601,80750351,80757082,80928906,81018224,81019951,81548626,81571003,81693627,81895547,82035087,82237660,82399280,82512123,82657487,82877164,82902216,82935552,83055867,83144496,83245548,83530383,83535322,83813596,84375587,84475887,84543243,84596458,84631882,85156825,85290556,85349643,85475550,85483707,85517251,85794130,85811260,85885323,85958301,86558984,86629756,86776875,86782401,86991851,87134803,87471090,88144827,88229548,88624750,88639531,89014003,89333748,89502636,89657583,89687603,89817057,89853963,89924587,90013903,90157007,90311343,90422125,90513083,90588442,91013925,91145502,91173920,91254755,91274767,91515706,91522632,91553843,91587642,91779130,92014931,92064507,92145647,92258223,92387247,92562000,92580603,92699190,92941180,93099045,93241667,93264993,93302496,93537558,93568684,93580424,93656748,93673416,93801107,94163002,94446586,94502283,94576186,94672876,94720060,95264907,95455023,95862035,95927578,96060787,96087183,96243635,96402363,96506831,96639510,96700282,96808786,97081520,97378857,97526312,97757866,97800527,97907987,98008351,98010083,98093967,98317091,98328136,98343087,98467503,98489685,98685192,98716047,98732800,98879136,98902203,99076687,99110362,99305648,99314218,99363211,...,4483147842316254710940140539054412328317943210368757826115269566255731731320958616217067893781095035682436867974902064589280296211212487246632564253434385999567858993290708652519684744406409779867864467642203007480290016448151416113906788435650240467455463546239282818766683874511672089769706040778479024045017083115918634415902060053485170133187388006894005289458109138017589827040291507299846490853759904709034923837819676730548375950972959551992031306632485981089981952194213740128637057012865506706983188402332912166939881068266741230123273292967460275518830360412385315622247533209168964210665916292211856355533108687732773189999797882229097663180129115509696704969732327334096111863731495812035783151345078521361209921607460049065170954970517930321987864777500910501911576944961524609253793074526343313313700057921863949188432075108107154026041824758586695378827807897804987769777872816874362999864500825696408111210477397092332571050464404174061912401823330311437648845941362743972630606576235465114302878675730610457122582390011226900254629569154834196723192952140098559484407459563583162231998361642524213032953233050980444995679945404757635834025667071622802240313657889712914988110597740354473780261873502697931512737976797167878938183549979463966957571688094247076837553257672466417264000009665554018353617608308318626765089661629409494227381460645029449638693654357619418096371824789054325721527489618511280730321720218121063714673969778763791489048157564050574039539376744436705146470622880311633890831819942999062470620541974398519649584306584057817275649816953555275131474380948475344570729509154797557721518707603836590133898420130506887991573727516756101598354743240149855791796944678377746703972770078914035070130926209448723944207602697527757123265281413131766580361467951969658192852711224044180127188060780717425976772665429154026507061003775934201808282552701394356930667899925807168979814176025278009846573561406712340323214468438386585063443543532240667304891415671425986542403439557026306039850622156537590788026062495259633396635829309007563821895504898421233738683745819362255131828734743261574858378246514763506547529968980798271756297844300021690967582148947603494100441126100556830248188789530886464285160498758529822579898365697368806282555525457453763775893742812681560432143481880648182407416482180664586682340912145478986812602967415272145007358579122750058045828027384358151817377125705065599815819271814637840796551944747}
15454  2012232870914070589016329885833391827019605064509241344121183461: {46353,169873,401414,432404,617720,631933,679316,694935,741264,816253,833922,1092193,1419284,1621095,1729168,1877702,1929875,1945314,2281124,2315850,2428934,2470240,2552929,2779020,2915233,2964288,3161894,3334824,3456529,3632276,3751677,4122644,4257014,4263613,4396695,4442173,4490084,4689808,4798429,4984214,5242129,5276034,5330653,5468516,5507439,5528102,5790776,5889974,6036253,6200996,6431702,6514623,6556475,6618183,7520353,7867770,8027156,8297629,8383633,8391524,8392288,8726929,8734136,9240596,9333335,9441324,9477014,9495133,9825903,9826999,9967124,10010102,10033863,10088593,10341853,10571684,10934036,10935608,11054756,11200002,11425334,11657876,11681629,11945075,12013693,12096529,12302559,12592033,12656102,13181414,13248673,13582484,13907103,14038570,14182244,14334090,14870113,15259796,15289696,15615734,15618404,15644195,15976724,16462753,16556075,16630306,16692279,16811684,16833435,16846284,17130183,17200908,17850902,17955664,18104029,18236408,18413053,18704102,18773034,18832916,18951524,19256929,19333213,19705623,19867290,19892534,20055100,20200122,20393075,20515959,20768929,21080996,21191776,21216913,21588253,21635439,21670676,21745814,21810193,21865208,22100435,22141844,22223643,22325533,22332795,22348850,22494884,22582454,22921143,23042435,23345629,23434916,23459075,23757580,23778493,23821648,23840748,23904164,24066120,24079334,24471690,24598359,24891995,25070774,25191956,25484029,25670528,25756475,25764253,26009444,26103136,26112913,26520522,26711654,26774223,26799354,26818620,26873629,26942353,27074385,27213567,27287075,27296423,27650922,27896929,27988244,28150890,28211703,28503133,28509096,28606528,28661702,28879344,29182695,29302333,29366028,29468102,29566429,29789654,29842196,29870394,29894929,30027616,30073364,30270902,30591014,30611293,30805153,30907770,31112036,31128208,31180499,31341035,31446673,31510429,31572050,31765895,31828129,31874075,31915095,32072733,32182344,32341334,32489262,32708113,32744490,32832673,32968288,33446102,33525524,33752463,33757693,33781068,33939400,33983636,33989703,34042768,34062433,34230902,34546273,34846333,34927456,35012102,35019234,35434487,35441053,35582996,35853073,35968767,36005595,36038804,36205137,36254534,36380463,36581883,36666529,36721556,36872294,36953629,37010833,37089324,37469003,37609242,37660856,37747933,37886460,38119074,38181825,38248890,38298114,38372216,38405968,38649764,38864102,38994890,39131233,39239953,39293223,39293388,39671953,39725629,39785735,39926534,40046127,40343444,40412224,40522129,40581635,40681094,40727280,40793876,40798816,41095933,41509527,41558929,41581814,41805476,41920376,42066529,42126063,42317629,42331688,42366356,42368463,42429755,42626102,42814484,42863713,43071494,43150244,43168743,43206714,43255393,43304029,43310075,43442432,43810934,44038239,44155796,44261629,44449693,44543293,44543570,44617895,44840102,45379850,45463752,45818190,45862214,45868129,45898668,46587974,46713764,46789693,46793868,47160423,47310134,47321079,47344273,47488916,47554333,47623149,47741702,47742882,47825403,47845393,48041636,48152084,48171974,48214429,48483236,48617629,48697962,48743654,48872736,48974353,49170013,49402429,50024804,50134676,50150075,50379613,50401239,50469559,50585702,50670493,50915706,51062929,51146721,51589835,51669524,51699399,51778616,51972090,52088929,52270395,52384093,52426475,52762004,52932903,52994435,53081053,53148851,53276379,53298154,53452284,53476513,53541474,53576439,53625373,53637635,53684413,53830753,54059702,54061153,54230929,54258973,54370429,54455820,54884113,54937364,54981828,55016294,55145607,55396753,55436896,55479543,55642273,55755088,55844026,56236436,56246929,56370614,56379553,56658013,56678929,56694225,57029903,57042374,57101533,57159313,57189003,57197473,57291613,57361208,57365629,57443702,57718429,57769151,58014663,58086208,58178833,58250943,58252093,58375094,58498724,58653853,58751096,58773373,58820756,58830433,58896529,58949629,58970795,59040673,59050429,59440273,59462431,59463956,59509393,59530129,59549713,59662429,59674129,59684029,59706529,59824454,59892116,60001475,60086102,60180090,60224983,60347174,60426596,60473840,60626195,60831608,61066916,61173524,61492623,61907802,62165967,62366508,62415014,62724474,62778023,62911770,63153339,63298964,63409082,63593322,63616676,63739850,63781475,63867947,63908799,63976263,64176783,64192096,64194134,64356884,64365162,64531359,64673636,64719155,65163579,65346984,66047075,66094983,66354296,66734855,67105888,67195383,67493125,67497423,67724722,67729208,68033070,68276102,68435559,68452196,68639414,68685095,69065075,69121814,69481804,69482102,69715095,69841094,69857711,69910436,69962523,70764954,70890946,71013903,71499254,71850902,72001770,72099370,72216108,72395684,72539439,72568608,72616119,72751434,73117076,73205816,73425764,73515357,73631396,73939604,74032607,74362768,74648583,74730902,75070454,75133355,75494124,75739111,75857702,75926930,76068935,76140220,76185087,76192934,76195359,76354751,76487820,76537770,76748774,76801888,77005844,77095595,77423195,77662986,77740214,78203463,78283283,78629396,79256490,79777180,79999736,80081826,80082303,80354075,80533743,80647316,80960774,80991750,81250196,81350564,81471290,81520827,81587008,81639684,81640288,81882871,81964239,82174983,82356543,82422114,82529795,82701176,82852244,82878090,82935879,83051924,83647094,83658114,83667399,83849702,84152534,84285807,84333435,84540256,84566891,84946330,85335523,85548614,85834004,85844102,86035690,86037119,86130596,86349543,86356475,86391200,86402124,86519244,86528534,86608850,86892442,87018644,87109574,87131607,87215636,87494054,88260567,88403296,88844379,89080676,89569556,89667236,89682890,89955664,89996559,89999703,90025143,90101823,90160026,90196876,90222935,90368763,91112316,91142007,91282722,91368264,91785384,91845324,91897355,91923706,92001956,92453795,92514714,92703635,92907834,93038823,93071894,93133743,93162404,93451796,93698435,93849494,94510436,94530902,94743608,95107788,95292799,95302595,95336075,95375644,95469476,95622695,95732616,95875595,96043364,96070136,96239923,96329876,96418750,96424890,96438614,96732536,96982739,97190100,97481499,97509435,97576475,97588239,97720835,97765548,98327396,98669679,98735414,99035754,99143439,99195494,99259720,99347702,99368084,99453708,99456063,99460023,99725702,99745556,99796730,...,5977530456421672947920187385405883104423924280491677101487026088340975641761278154956090525041460047576582490633202752785707061614949982995510085671245847999423811991054278203359579659208546373157152623522937343307053355264201888151875717914200320623273951394985710425022245166015562786359608054371305365393356110821224845887869413404646893510916517342525340385944145517356786436053722009733128654471679872945379898450426235640731167934630612735989375075509981308119975936258951653504849409350487342275977584536443882889253174757688988306831031057289947034025107147216513754162996710945558618947554555056282475140710811583643697586666397176305463550906838820679595606626309769778794815818308661082714377535126771361814946562143280065420227939960690573762650486370001214002548769259948699479005057432701791084418266743895818598917909433477476205368055766344782260505103743863739983693037163755832483999819334434261877481613969862789776761400619205565415883202431107081916865127921816991963507475434980620152403838234307480609496776520014969200339506092206445595630923936186798079312543279418110882975997815523365617377270977401307259994239927206343514445367556095497069653751543852950553317480796987139298373682498003597242016983969062890505250911399972618622610095584125662769116737676896621889685333346220738691138156811077758169020119548839212658969841947526705932851591539143492557461829099718739100962036652824681707640428960290828084952898626371685055318730876752067432052719168992582273528627497173748845187775759923998749960827389299198026199445742112077089700866422604740366841965841264633792760972678873063410295358276805115453511864560174009183988764970022341468797806324320199807722395926237836995605297026771885380093507901612598298592276803596703676164353708550842355440481957269292877590470281632058906836250747707623234635696887238872035342748005034578935744376736935192475907557199901076225306418901367037346462098081875616453764285957917848780084591391376320889739855220895234648723204586076035074719800829542050121050701416660346177862181105745343418429194006531228311651578327759149673509104979657682099811170995353018008730039958641064362341730459066695587956776198596804658800588168134075773664251719374515285713547331678039763439864487596491741710074033943271685034524990416908747242857975840864243209888642907552782243121216193971982416803956553696193343144772163666744061104036512477535756502834273420799754425695752850454395402592996}
15455  2021201728427905897934845902918416785755967478262219808545030077: {61804,540505,602121,648606,772150,849145,926580,988352,1018974,1111896,1250883,1513022,1774105,2128926,2161460,2593752,2816553,2851405,2884849,2917971,3087800,3421686,3473775,3643401,3705360,3952384,4103582,4168530,4446432,4540345,4742841,5002236,5066929,5153305,5214326,5255833,5448414,5612605,5810701,5862260,6183966,6385521,6735126,6735481,6835645,7034712,7238470,7284673,7343252,7476321,7642369,7751245,7914051,8202774,8208733,8292153,8686164,8824244,8834961,8972953,9301494,9568657,9647553,9687229,9833494,10033945,10321993,10489405,10490360,10917670,10980913,11332849,11550745,11798761,11801655,12006313,12040734,12052966,12297409,12458905,12587286,12588432,13101204,13214605,13378484,13667545,13669510,13818445,13860894,13891702,14024593,14161986,14215521,14513713,14572345,14933336,14950686,15015153,15490681,15711206,15857526,15945949,15956857,16401054,16403412,16572361,16582134,16800003,16978105,17138001,17237617,17486814,17727805,18542804,18984153,19056433,19074745,19112120,19132057,19182601,19523005,19551793,19772121,19967134,19970905,20373726,20544934,20627137,20843942,20861161,21014605,21057855,21273366,21501135,22066033,22256372,22404289,22444580,22461712,22518301,22795510,22840244,22889694,22934544,23067649,23223037,23326909,23423601,23427606,23541145,23628301,23689405,23965086,24945459,25030712,25068875,25084513,25148894,25217526,25269426,25787761,25801362,25842013,26274164,26351245,26400649,26489720,26776353,26779766,26933496,27088345,27237182,27331510,27354612,27677305,27720166,27887089,28045534,28056153,28063849,28118605,28159551,28249374,28404637,28427286,28847252,29060713,29293645,29301241,29581502,29631524,29696975,29777060,29787422,29800935,29838801,29842537,29880205,30082650,30300183,30388633,30561524,30846262,31163857,31489945,31551494,31621494,31787664,32088160,32506014,32511805,32618721,32628920,32797812,32953249,33212766,33258046,33379453,33523275,33528697,33575689,33605222,33742326,33873681,33932449,34088689,34339981,34985305,35003161,35152374,35355793,35360696,35517001,35613913,35634614,35636370,35698964,35732472,35758160,35761122,35856246,36099180,36119001,36151537,36284756,36314401,36580774,36680329,36707535,36867896,37040227,37302745,37489126,37534520,37591705,37606161,37615604,37787934,37996849,38012128,38107894,38505792,38727037,38890045,38910260,39014166,39154704,39241729,39780783,39814081,39823297,39827192,40067481,40199031,40227930,41210360,41476383,41906905,41917702,41947873,41982366,42226335,42424250,42479545,42553460,42562777,42611414,42763644,42909792,42933649,42992553,43115341,43120477,43277497,43319016,43354369,43448054,43659320,44049042,44202153,44478745,44684481,44763294,44805591,45003284,45041424,45048505,45110046,45230713,45306289,45319604,45406353,45886521,45901945,46361655,46433137,46668054,46692312,47076070,47196193,47358075,47534857,47958356,47965270,48007460,48273516,48312205,48448537,48507284,48512001,48733893,48775844,48785702,48916886,49116735,49452432,50145656,50162494,50169153,50169481,50180701,50191057,50288286,50429305,50478397,50515280,50563526,50671602,50825432,50909100,50975454,50992345,50998520,51042109,51064152,51117649,51346353,51407209,52096033,52171393,52256845,52390964,52391184,52400470,52518153,52528851,52914610,52957945,53059981,53227657,53374494,53394836,53518105,53937805,54058206,54303040,54381801,54619249,54709201,55082334,55194745,55308441,55346036,55383133,55633986,55766902,56001649,56168084,56346217,56413863,56491284,56829690,56916577,57178611,57243481,57373335,57447171,57558324,57608952,57690553,57702541,57974646,58060009,58095302,58113814,58296153,58392205,58492335,58598353,58717652,58940082,59263057,59307901,59361145,59889801,60005534,60024614,60052045,60105694,60190105,60515166,60595537,60604045,60618336,60715561,60743197,60865849,61021641,61090920,61174633,61190814,61198224,61621897,61753537,62372721,62391824,62531005,62668345,62708214,62880564,63094772,63411133,63451993,63497532,63549534,63657176,63767204,63939153,64055089,64079377,64221726,64586905,64607241,64723270,64725366,64743926,64802929,64810071,64923889,64930616,65067422,65163648,65716401,65952505,66011917,66233694,66750214,66815355,66953713,67151809,67201652,67260153,67388281,67856062,67887608,68069775,68195628,68671705,68727285,68793321,68848002,68932532,69296120,69469574,69519757,69693860,69721441,69881961,69999769,70070646,70190802,70295545,70392361,70577204,70965201,71035172,71176633,71218534,71233374,71262742,71269712,71388632,71393149,71435252,71612553,71614323,71701510,71808854,72062454,72148201,72228126,72231421,72257961,72363529,72607760,72662329,72724854,73046943,73115481,73123405,73309104,73438870,73525945,73527476,73871582,73899337,73972724,74096089,74329945,74337841,74865145,74987761,75037206,75202014,75533245,75592300,75819481,75878553,75978793,76039510,76100342,76123021,76252004,76333645,76373559,76466905,77192833,77352884,77443942,77504286,77667924,77958135,78376777,78711206,78856934,78968689,79123705,79143006,79520845,79599409,79947231,80124649,80178426,80240120,80312211,80377057,80446105,80520854,80842045,81089553,81451441,81487069,81683730,81990164,82406046,82472742,82524441,82543736,82887956,82900657,82942870,83155344,83515921,83517241,83632632,83766039,83882360,84061369,84177997,84204452,84354654,84555921,84640969,84661510,84791096,85007089,85211732,85259101,85301684,85523713,85563561,85565245,85569044,85810909,85820216,86041812,86165553,86513629,86697382,86852255,86884772,87129312,87388045,87531409,87556177,87562641,87748086,87875017,88126644,88228166,88231134,89021809,89195934,89593844,89635249,89736681,89776966,89793814,89838174,89996564,90129153,90194593,90270135,90409249,90494605,90520761,90639894,90710760,91008806,91142582,91212649,91227937,91247412,91396345,91507270,91565821,91600374,91760286,91782205,92039245,92191774,92424505,92696641,92702449,92861703,92953460,92991289,93283364,93549762,93622521,93725302,94060489,94086711,94353272,94360849,94367655,94417057,94493233,94498513,94588574,94685204,94948446,95113623,95175275,95236934,95389983,95425014,95432233,95609775,96002360,96257305,96288144,96291201,96519457,96535326,96547743,96719252,96758144,96821492,96873073,97001912,97010454,97119806,97650454,97686121,97790041,97827134,98020476,98127073,98286745,98310697,98329969,98604841,99531444,99721475,99752377,99778249,99999670,...,8966295684632509421880281078108824656635886420737515652230539132511463462641917232434135787562190071364873735949804129178560592422424974493265128506868771999135717986581417305039369488812819559735728935284406014960580032896302832227813576871300480934910927092478565637533367749023344179539412081556958048090034166231837268831804120106970340266374776013788010578916218276035179654080583014599692981707519809418069847675639353461096751901945919103984062613264971962179963904388427480257274114025731013413966376804665824333879762136533482460246546585934920551037660720824770631244495066418337928421331832584423712711066217375465546379999595764458195326360258231019393409939464654668192223727462991624071566302690157042722419843214920098130341909941035860643975729555001821003823153889923049218507586149052686626627400115843727898376864150216214308052083649517173390757655615795609975539555745633748725999729001651392816222420954794184665142100928808348123824803646660622875297691882725487945261213152470930228605757351461220914245164780022453800509259138309668393446385904280197118968814919127166324463996723285048426065906466101960889991359890809515271668051334143245604480627315779425829976221195480708947560523747005395863025475953594335757876367099958927933915143376188494153675106515344932834528000019331108036707235216616637253530179323258818988454762921290058899277387308715238836192743649578108651443054979237022561460643440436242127429347939557527582978096315128101148079078753488873410292941245760623267781663639885998124941241083948797039299168613168115634551299633907110550262948761896950689141459018309595115443037415207673180267796840261013775983147455033512203196709486480299711583593889356755493407945540157828070140261852418897447888415205395055514246530562826263533160722935903939316385705422448088360254376121561434851953545330858308053014122007551868403616565105402788713861335799851614337959628352050556019693147122813424680646428936876773170126887087064481334609782831342851973084806879114052612079701244313075181576052124990519266793271658618015127643791009796842467477367491638724510263657469486523149716756493029527013095059937961596543512595688600043381935164297895206988200882252201113660496377579061772928570320997517059645159796731394737612565111050914907527551787485625363120864286963761296364814832964361329173364681824290957973625205934830544290014717158245500116091656054768716303634754251410131199631638543629275681593103889494}
15456  2030210244905583902354971661947576122641625210197335721555570737: {77255,92706,200759,262463,339746,447383,662759,802828,864808,972909,1122959,1158225,1214783,1235440,1263866,1275959,1358632,1389870,1482528,1489823,1528461,1632506,1642343,1667844,1946783,2098703,2184386,2269533,2280743,2401943,2553263,2701825,2734583,2838568,2945759,3006023,3193389,3242190,3396959,3458336,3486983,3636863,3755404,3859750,3890628,3906143,3995759,4085303,4293959,4562248,4631700,4650743,4799063,4857868,4940480,5105858,5132529,5272343,5558040,5625959,5714183,5772959,5830466,5928576,6155373,6252795,6323788,6592463,6650759,6669648,6913058,7264552,7289903,7327825,7463543,7503354,7608023,7821489,8172621,8245288,8470703,8514028,8527226,8585183,8728103,8793390,8884346,8980168,9098759,9179065,9275949,9379616,9524759,9596858,9751223,9948959,9968428,10005383,10102689,10455623,10484258,10552068,10595903,10661306,10791959,10857705,10875863,10931759,10937032,11014878,11030305,11056204,11127143,11349959,11544503,11581552,11779948,12042959,12072506,12098183,12125783,12304161,12401992,12593759,12863404,13029246,13066669,13112950,13195943,13236366,13359503,13604303,13821359,13952241,14010863,14145983,14577023,14711303,14750241,14898959,15040706,15112943,15379703,15619103,15735540,15910823,16054312,16175183,16376505,16491359,16595258,16622759,16723105,16767266,16783048,16784576,17276759,17453858,17468272,17744543,17874023,18061101,18079449,18132383,18183959,18364223,18441359,18481192,18492743,18666670,18880929,18882648,18954028,18990266,19335959,19651806,19653998,19665743,19934248,19968959,20019383,20020204,20067726,20177186,20271023,20421623,20504265,20683706,20791341,20796863,20837553,20846759,21143368,21219959,21242979,21467759,21541943,21591359,21868072,21871216,21901873,21911783,21960959,22109512,22132823,22400004,22426029,22499783,22850668,22864943,22986263,23178505,23300759,23315752,23349023,23363258,23373143,23566809,23781959,23786289,23890150,23949623,24027386,24093023,24193058,24307583,24426503,24601581,24605118,24852959,24873201,25184066,25312204,25511183,25628063,26139959,26230221,26362828,26497346,26670983,26762903,26831759,26900543,27164968,27357263,27814206,27820465,27923663,28055725,28077140,28364488,28373183,28529759,28550305,28668180,29240543,29570903,29592863,29740226,29921303,29950701,29964959,30182759,30226223,30356423,30519592,30560589,30579392,30766823,30817401,30874343,30940609,31231468,31236808,31259759,31265913,31288390,31578959,31833023,31910049,31953448,32106959,32148983,32259409,32421359,32796263,32842705,32899943,32925506,32982743,33112150,33260612,33384558,33623368,33666870,33692568,33762959,33905423,34006943,34193265,34260366,34334541,34370759,34401816,34431143,34571759,34848793,34971359,35110463,35141409,35407223,35466359,35623703,35701804,35800103,35858759,35911328,35947629,36059065,36208058,36209183,36286703,36441359,36472816,36499223,36576263,36787463,36826106,36921359,37039405,37073903,37221325,37358543,37408204,37546068,37547303,37584959,37665832,37723341,37826289,37903048,37904139,38108783,38145959,38201905,38386823,38513858,38666426,38702043,38919263,39101303,39246359,39372863,39411246,39480983,39696359,39734580,39750023,39785068,40105943,40110200,40169649,40176743,40229759,40400244,40493759,40528823,40633823,40786150,40855773,40997265,41031918,41050943,41102759,41412143,41537858,41580249,41582903,41877121,41989463,42068301,42090383,42123959,42161992,42241223,42341423,42374061,42383552,42433826,42623759,42640929,42821663,42870959,43034759,43176506,43270878,43278959,43311383,43341352,43491628,43620386,43730416,43809863,43877449,44032463,44127383,44200870,44281549,44283688,44372253,44447286,44472253,44472959,44623705,44651066,44665590,44681133,44697700,44783759,44891783,44989768,45121943,45123975,45164908,45289583,45355945,45576863,45741863,45842286,45920759,45965303,46084870,46245743,46269393,46362959,46691258,46754783,46841063,46869832,46918150,46969943,47019505,47112383,47327241,47394863,47432241,47515160,47556986,47576759,47643296,47681496,47688023,47808328,47853959,47950223,48132240,48158668,48223103,48236663,48398759,48465959,48626423,48637825,48706223,48759021,48943380,49061759,49191959,49196718,49347143,49411463,49424303,49603223,49730063,49783990,49819149,49887069,49918823,49956359,50141548,50290943,50383912,50407833,50571359,50613489,50691959,50751959,50968058,51084263,51107759,51142943,51248063,51341056,51512950,51528506,51662063,51965759,52018888,52043543,52109903,52206272,52225826,52241759,52274543,52296359,52404959,52728561,52747103,52810343,52883759,52915103,53041044,53091359,53163263,53191825,53275463,53316023,53376623,53423308,53451921,53454555,53496959,53548446,53598708,53637240,53641683,53724383,53747258,53784369,53812223,53884706,53937959,54148770,54241703,54381263,54390503,54427134,54528143,54574150,54592846,54681959,54789143,54871161,54877583,55060703,55077959,55290959,55301844,55358063,55416359,55482503,55564463,55677863,55700029,55757903,55793858,55923383,55976488,56031743,56054759,56108183,56168759,56233689,56254105,56266103,56301780,56423406,56463959,56649505,56681901,56814289,56862503,56882759,56916359,57002783,57006266,57018192,57113759,57161841,57177959,57213056,57272759,57303959,57323404,57384143,57438863,57474983,57528623,57558143,57593303,57679943,57747959,57758688,57764783,57831359,57929063,57950423,58029383,58086143,58364759,58365390,58378703,58465343,58492103,58521249,58531703,58566359,58604666,58608959,58671359,58683623,58703903,58732056,58739903,58790759,58821383,58847759,58910183,58913783,58920959,58936204,58963343,59007959,59064263,59132858,59210759,59230583,59287703,59300783,59331359,59360783,59398223,59401657,59429303,59435759,59456759,59462903,59480903,59490623,59546423,59565959,59579308,59593103,59625263,59673143,59679959,59682383,59684392,59685503,59689943,59697959,59699183,59700959,59702663,59706359,59714063,59721143,59721359,59740788,59789858,59947945,60009325,60055232,60146728,60341895,60541804,60634105,60969805,61182028,61222586,61610306,61815540,62224072,62256416,62360998,62465053,62682070,62876553,62893346,62973549,63020858,63144100,63531790,63636375,63656258,63748150,63830190,63917121,64145466,64364688,64682668,64978524,65172081,65416226,65488705,65488980,65665346,65936576,66073563,66743545,66892204,67051048,67144941,67504926,67515386,67562136,67665069,67878800,67967272,67979406,68085536,68124866,68272633,68461804,69092546,69182545,69692666,69854912,70002081,70024204,70038468,70210105,70614105,70868974,70882106,71165992,71706146,71937534,71947905,72011190,72077608,72225769,72410274,72509068,72760926,73163766,73178553,73333058,73375329,73397065,73443112,73744588,73907258,74021666,74178648,74192209,74938006,75092689,75218484,75243741,75321712,75432429,75480301,75495866,75772920,75845289,76007403,76238148,76363650,76463181,76497780,76596228,76744432,76811936,77299528,77728204,77989780,78262466,78479906,78586446,78586776,78600705,78868465,79343906,79371915,79451258,79571470,79709005,79853068,80061741,80079373,80092254,80686888,80824448,81044258,81087309,81163270,81362188,81454560,81587752,81597632,82191866,82559113,82623501,83019054,83117858,83163628,83450979,83610952,83650353,83840752,84002065,84133058,84252126,84635258,84663376,84732712,84736926,84859510,84876673,85244535,85252204,85628968,85727426,86142988,86165665,86300488,86337486,86413428,86510786,86608058,86620150,86884864,86961969,87117325,87142953,87170721,87493081,87621868,88076478,88221505,88311592,88410123,88523258,88793965,88899386,89086586,89087140,89235790,89294065,89680204,90008301,90036921,90158541,90237433,90606817,90759700,90772749,90927504,91636380,91724428,91736258,91786221,91797336,91909345,92465905,93175948,93427528,93428797,93579386,93587736,94062321,94320846,94490375,94515937,94620268,94642158,94688546,94977832,95108666,95246298,95315005,95324301,95483404,95485764,95650806,95690786,96083272,96159133,96304168,96332589,96343948,96428858,96691105,96966472,97084905,97088049,97115889,97235258,97395924,97487308,97601133,97745472,97948706,98340026,98804858,99350541,...,13449443526948764132820421617163236984953829631106273478345808698767195193962875848651203681343285107047310603924706193767840888633637461739897692760303157998703576979872125957559054233219229339603593402926609022440870049344454248341720365306950721402366390638717848456300051623535016269309118122335437072135051249347755903247706180160455510399562164020682015868374327414052769481120874521899539472561279714127104771513459030191645127852918878655976093919897457943269945856582641220385911171038596520120949565206998736500819643204800223690369819878902380826556491081237155946866742599627506892631997748876635569066599326063198319569999393646687292989540387346529090114909196982002288335591194487436107349454035235564083629764822380147195512864911553790965963594332502731505734730834884573827761379223579029939941100173765591847565296225324321462078125474275760086136483423693414963309333618450623088999593502477089224333631432191276997713151393212522185737205469990934312946537824088231917891819728706395342908636027191831371367747170033680700763888707464502590169578856420295678453222378690749486695995084927572639098859699152941334987039836214272907502077001214868406720940973669138744964331793221063421340785620508093794538213930391503636814550649938391900872715064282741230512659773017399251792000028996662055060852824924955880295268984888228482682144381935088348916080963072858254289115474367162977164582468855533842190965160654363191144021909336291374467144472692151722118618130233310115439411868640934901672495459828997187411861625923195558948752919752173451826949450860665825394423142845426033712188527464392673164556122811509770401695260391520663974721182550268304795064229720449567375390834035133240111918310236742105210392778628346171832622808092583271369795844239395299741084403855908974578558133672132540381564182342152277930317996287462079521183011327802605424847658104183070792003699777421506939442528075834029539720684220137020969643405315159755190330630596722001914674247014277959627210318671078918119551866469612772364078187485778900189907487927022691465686514695263701216051237458086765395486204229784724575134739544290519642589906942394815268893532900065072902746446842810482301323378301670490744566368592659392855481496275589467739695097092106418847666576372361291327681228438044681296430445641944547222249446541993760047022736436436960437808902245816435022075737368250174137484082153074455452131377115196799447457815443913522389655834241}
15457  2039258594322229970410347591331457807079705762849612620014309966: {123608,139059,509619,756707,1003535,1081010,1188803,1204242,1297212,1544300,1698290,1853160,1895799,1976704,2037948,2084805,2223792,2448759,2483747,2501766,3026044,3224243,3276579,3409367,3548210,3991967,4257852,4322920,4694255,4863285,5187504,5633106,5702810,5769698,5789625,5835942,6072335,6175600,6211439,6356483,6843372,6947550,7214627,7286802,7410720,7658787,7857647,7904735,7904768,8207164,8337060,8609159,8745699,8892864,9080690,9485682,9569903,10004472,10133858,10306610,10369587,10428652,10511666,10604399,10642535,10826903,10851743,10896828,11225210,11255031,11621402,11724520,12198719,12344519,12367932,12460535,12771042,12790839,13190085,13326519,13393367,13470252,13470962,13671290,13744163,13820255,14047523,14069424,14189279,14395287,14476940,14569346,14685167,14686504,14724935,14952642,15221699,15284738,15502490,15726387,15828102,15991959,16079255,16171043,16377383,16405548,16417466,16514543,16522317,16574519,16584306,17372328,17442467,17509847,17648488,17669922,17821943,17945906,18108759,18500447,18602988,19134563,19137314,19295106,19345823,19374458,19543869,19666988,19669425,19854549,20067890,20401283,20505539,20629823,20643986,20978810,20980720,21059327,21400643,21568319,21835340,21961826,22521239,22561059,22665698,23053859,23101490,23404403,23597522,23603310,23692535,23769347,24012626,24081468,24105932,24464807,24594818,24818927,24892887,24917810,25025255,25150899,25174572,25176864,25257839,25791119,25955159,26078039,26180787,26202408,26404103,26429210,26704643,26733647,26756968,27102599,27261767,27332207,27335090,27339020,27636890,27721788,27783404,27959267,28000005,28049186,28323972,28408343,28431042,28485399,28563335,29027426,29144690,29420447,29477709,29480997,29846423,29866672,29901372,30030306,30101589,30265779,30981362,31025559,31167923,31200767,31422412,31640255,31715052,31746359,31891898,31900643,31913714,32802108,32806824,32953535,32957603,33060767,33144722,33164268,33165167,33166367,33533063,33600006,33956210,34276002,34344479,34475234,34665263,34973628,35007719,35044887,35096425,35164559,35455610,35835225,35913839,36041079,36289587,36319139,36891743,36907677,37085608,37776099,37923683,37968306,38099123,38112866,38149490,38224240,38264114,38331623,38365202,38748227,39039335,39046010,39103586,39246863,39366047,39544242,39746019,39934268,39941810,40321823,40404659,40747452,41011103,41089868,41254274,41575765,41687884,41721309,41722322,41784119,41832287,42029210,42115710,42163703,42332567,42546732,43002270,43126103,43283159,43858403,44005583,44085923,44132066,44512744,44610339,44627255,44711747,44808578,44889160,44905367,44923424,45036602,45516527,45591020,45680488,45779388,45869088,46094303,46135298,46446074,46653818,46760255,46847202,46855212,46932585,46951943,47082290,47256602,47378810,47930172,48423359,48454883,48979427,49388259,49574759,49668225,49731335,49890918,50061424,50076837,50137750,50169026,50297788,50435052,50484983,50500305,50538852,50739767,50813123,51124403,51390549,51560303,51575522,51602724,51684026,51895859,52223843,52548328,52628387,52702490,52801298,52979440,53454479,53552706,53559532,53641439,53866992,54176690,54312087,54364535,54446063,54474364,54663020,54709224,54716339,55165247,55239159,55354610,55440332,55774178,55777319,55872125,56091068,56112306,56127698,56237210,56319102,56456135,56498748,56809274,56854572,56924003,57047063,57247103,57250979,57687647,57694504,57770787,57999639,58121426,58587290,58602482,58669667,59116869,59163004,59263048,59315639,59393950,59471363,59554120,59574844,59601870,59677602,59685074,59760410,60165300,60198335,60232163,60411767,60600366,60603443,60624167,60777266,60923663,61045043,61123048,61179225,61547877,61568039,61629959,61692524,61844519,62270243,62270303,62306787,62327714,62649623,62676935,62979890,63067907,63102988,63242988,63575328,63650739,63998567,64176320,64262723,64666799,64764759,64906317,64932383,65012028,65023610,65237442,65257840,65430579,65595624,65871683,65906498,66183767,66301305,66425532,66504359,66516092,66670929,66758906,66779135,66897983,66976599,66998385,67046550,67057394,67151378,67210444,67484652,67637087,67654799,67747362,67864898,68177378,68406983,68679962,68763429,69018659,69127305,69252599,69528863,69811967,69970610,70006322,70036887,70304748,70377225,70427507,70564463,70601027,70711586,70721392,71034002,71227826,71269228,71272740,71335479,71389283,71397928,71401859,71464944,71506919,71516320,71522244,71654255,71712492,71932367,72198360,72238002,72303074,72426803,72569512,72628802,72872483,73159583,73161548,73360658,73415070,73670255,73735792,73795077,74080454,74101187,74105783,74141123,74314223,74474135,74605490,74675985,74925347,74978252,74988719,75069040,75183410,75212322,75231208,75512927,75575868,75677255,75993698,76024256,76215788,76308419,76452087,76477535,77011584,77123939,77269425,77272643,77292759,77454074,77529719,77780090,77820520,78028332,78309408,78338739,78483458,78693287,78930125,78995843,79367279,79561566,79609823,79628162,79646594,79654384,79792343,80134962,80322669,80398062,80455860,80620887,80827059,80853335,81223155,81640701,81749087,81861225,81889269,82044083,82420720,82952766,83101703,83105603,83482307,83615255,83690787,83813810,83835404,83895746,83964732,84072863,84117839,84189023,84214799,84266147,84452670,84635109,84845663,84848500,84959090,85106920,85122227,85125554,85222828,85307903,85509399,85527288,85577255,85819584,85852019,85856963,85867298,85985106,86230682,86240954,86554994,86638032,86708738,86896108,87063623,87318640,87530255,87543407,87548085,87735683,87906999,88098084,88259123,88404306,88662767,88699287,88957490,89368962,89526588,89534903,89611182,89684787,89793119,89996807,90006568,90082848,90097010,90220092,90421667,90461426,90524183,90612578,90636335,90639208,90812706,91073783,91139039,91773042,91803890,91833879,92180735,92333507,92415459,92723310,92866274,93112823,93336108,93384624,93541497,93935363,94023105,94040447,94152140,94340019,94373543,94392386,94531287,94692767,94716150,95007923,95069714,95297685,95481059,95484387,95622225,95745285,95916712,95930540,96014920,96140387,96218199,96547032,96624410,96691703,96897074,97014568,97024002,97038023,97160255,97467786,97487225,97551688,97571404,97833772,98124339,98222183,98233470,98323559,98413763,98498019,98904864,99102659,99494963,99765443,99791303,99816335,...,17932591369265018843760562156217649313271772841475031304461078265022926925283834464868271575124380142729747471899608258357121184844849948986530257013737543998271435973162834610078738977625639119471457870568812029921160065792605664455627153742600961869821854184957131275066735498046688359078824163113916096180068332463674537663608240213940680532749552027576021157832436552070359308161166029199385963415039618836139695351278706922193503803891838207968125226529943924359927808776854960514548228051462026827932753609331648667759524273066964920493093171869841102075321441649541262488990132836675856842663665168847425422132434750931092759999191528916390652720516462038786819878929309336384447454925983248143132605380314085444839686429840196260683819882071721287951459110003642007646307779846098437015172298105373253254800231687455796753728300432428616104167299034346781515311231591219951079111491267497451999458003302785632444841909588369330284201857616696247649607293321245750595383765450975890522426304941860457211514702922441828490329560044907601018518276619336786892771808560394237937629838254332648927993446570096852131812932203921779982719781619030543336102668286491208961254631558851659952442390961417895121047494010791726050951907188671515752734199917855867830286752376988307350213030689865669056000038662216073414470433233274507060358646517637976909525842580117798554774617430477672385487299156217302886109958474045122921286880872484254858695879115055165956192630256202296158157506977746820585882491521246535563327279771996249882482167897594078598337226336231269102599267814221100525897523793901378282918036619190230886074830415346360535593680522027551966294910067024406393418972960599423167187778713510986815891080315656140280523704837794895776830410790111028493061125652527066321445871807878632771410844896176720508752243122869703907090661716616106028244015103736807233130210805577427722671599703228675919256704101112039386294245626849361292857873753546340253774174128962669219565662685703946169613758228105224159402488626150363152104249981038533586543317236030255287582019593684934954734983277449020527314938973046299433512986059054026190119875923193087025191377200086763870328595790413976401764504402227320992755158123545857140641995034119290319593462789475225130222101829815055103574971250726241728573927522592729629665928722658346729363648581915947250411869661088580029434316491000232183312109537432607269508502820262399263277087258551363186207778988}
15458  2048346951410100231599226452584881719964768533135182217877858473: {108157,154510,185412,293341,401518,478237,524926,679492,894766,1031197,1325518,1490017,1605656,1621515,1673041,1729616,1806363,1930375,1945818,1947037,2129341,2245918,2311357,2316450,2429566,2470880,2527732,2547435,2551918,2717264,2765137,2779740,2965056,2979646,3036541,3056922,3265012,3284686,3335688,3667297,3752649,3782555,3893566,4115677,4197406,4368772,4539066,4561486,4803886,5095777,5106526,5322315,5403650,5469166,5538397,5677136,5891518,5979217,6012046,6386778,6484380,6793918,6916672,6973966,7273726,7510808,7719500,7781256,7812286,7991518,8170606,8449659,8500477,8554215,8587918,8654547,8753913,9014557,9124496,9263400,9301486,9355837,9598126,9715736,9780817,9880960,10203997,10211716,10258955,10265058,10421325,10544686,10709437,10930203,11116080,11251918,11428366,11545918,11660932,11857152,12127441,12310746,12505590,12647576,12850691,13035815,13184926,13197757,13301518,13339296,13621035,13826116,14228523,14417617,14529104,14579041,14579806,14655650,14740177,14927086,14981341,15006708,15141757,15200787,15216046,15381841,15442427,15459915,15642978,15767499,16018897,16345242,16490576,16837815,16941406,17028056,17054452,17170366,17432103,17456206,17586780,17591377,17768692,17960336,18096175,18197518,18358130,18551898,18759232,19049518,19156563,19193716,19502446,19897918,19936856,20010766,20047441,20205378,20206443,20273917,20424541,20506935,20911246,20968516,21104136,21191806,21322612,21583918,21715410,21751726,21854019,21863518,21874064,21914941,22029756,22060610,22112408,22254286,22428963,22503037,22699918,22927107,23013841,23089006,23163104,23253735,23376541,23412347,23559896,23742153,23953117,24085918,24145012,24196366,24251566,24311137,24453841,24583735,24608322,24626199,24803984,24876459,24951037,25187518,25304017,25374397,25726808,26058492,26133338,26225900,26391886,26472732,26504883,26719006,26918859,27110497,27208606,27294175,27642718,27904482,28021726,28291966,28399837,28705971,28734817,28942659,29061687,29154046,29422606,29500482,29597341,29797918,30056737,30081412,30101835,30122077,30132415,30225886,30382717,30759406,30965979,31238206,31468215,31471080,31821646,32108624,32350366,32449907,32753010,32801341,32925757,32942739,32982718,33190516,33245518,33446210,33534532,33566096,33569152,33604897,33998547,34032541,34173775,34214737,34553518,34637341,34652235,34729255,34907716,34936544,35396283,35404965,35489086,35748046,36001057,36018939,36122202,36158898,36264766,36367918,36582097,36728446,36882718,36892227,36962384,36985486,37098877,37333340,37376715,37383457,37722577,37761858,37765296,37835041,37908056,37980532,38003197,38114941,38671918,38943841,38948651,39053137,39278015,39303612,39307996,39331486,39379297,39643815,39868496,39937918,39970427,40038766,40040408,40130257,40135452,40354372,40542046,40658017,40843246,41002635,41008530,41367412,41455335,41582682,41593726,41675106,41693518,41844541,41996497,42073779,42286736,42439918,42448477,42485958,42646563,42894379,42935518,42943837,42992977,43083886,43182718,43541139,43717035,43721437,43736144,43742432,43803746,43817341,43823566,43921918,44055841,44219024,44265646,44800008,44852058,44999566,45045459,45129757,45312637,45584797,45701336,45729886,45972526,45979787,45988177,46357010,46472043,46601518,46631504,46698046,46726516,46746286,46777441,46992541,47133618,47290657,47417341,47563918,47572578,47710417,47780300,47837847,47870571,47899246,47958817,48054772,48163837,48186046,48245341,48386116,48615166,48853006,48997927,49203162,49210236,49433341,49491143,49625041,49705918,49717083,49739197,49746402,49890397,49917835,49928017,50077777,50368132,50400009,50482691,50624408,50737441,50934315,51022366,51164257,51256126,51339037,51362335,51414003,51512017,51712851,51855167,52053457,52109855,52279918,52284541,52460442,52608541,52725656,52831057,52994692,53183415,53341966,53482667,53525806,53663518,53744737,53801086,54063517,54329936,54401341,54539041,54714526,54888637,55019857,55377697,55402717,55575841,55628412,55640930,55769377,55847326,55934941,56111450,56119837,56154280,56165341,56233057,56728976,56746366,56874577,56952459,56975197,56988775,57059518,57100610,57151777,57169299,57224235,57336360,57396171,57451297,57547803,57611677,57629137,57698257,57882397,58104157,58297441,58396477,58481086,58505341,58544977,58569015,58634941,58655379,58838737,58927441,59141806,59185726,59192797,59201617,59244637,59261341,59301841,59316363,59377441,59480452,59495377,59550817,59607841,59688157,59718397,59733841,59736541,59737297,59842606,59901402,59912715,59929918,60365518,60452446,60712846,61039184,61121178,61158784,61533646,61634802,61748686,61881218,61881411,62462936,62473187,62473616,62519518,62531826,62576780,62583483,62872235,63043815,63157918,63173565,63498323,63666046,63820098,63906896,64213918,64297966,64503405,64518818,64842718,65592526,65685410,65799886,65827307,65851012,65965486,66198099,66224300,66521224,66769116,66949415,67212867,67246736,67333740,67385136,67525918,67554903,67810846,68013886,68092955,68328775,68386530,68520732,68669082,68741518,68803632,68862286,69143518,69202947,69300415,69669111,69697586,69942718,69980727,70113835,70220926,70270803,70282818,70623435,70814446,70884903,70932718,71068215,71247406,71403608,71600206,71717518,71822656,71895258,72118130,72416116,72418366,72573406,72882718,72945632,72998446,73152526,73574926,73652212,73842718,73953755,74078810,74147806,74442650,74468555,74717086,74816408,74836377,75092136,75094606,75169918,75206625,75253539,75331664,75446682,75652578,75806096,75808278,76217566,76291918,76403810,76773646,77027716,77115655,77332852,77363283,77404086,77526039,77838526,78202606,78492718,78745726,78755747,78822492,78878735,78961966,79053735,79201947,79309307,79392718,79469160,79500046,79570136,80211886,80220400,80329059,80339298,80353486,80459518,80685839,80800488,80987518,81057646,81265035,81267646,81572300,81711546,81994530,82063836,82101886,82205518,82824286,83031915,83075716,83145115,83160498,83165806,83519623,83661267,83754242,83927123,83978926,84013055,84136602,84168459,84180766,84191547,84247918,84323984,84355815,84478653,84482446,84682846,84748122,84767104,84867652,84887747,85213911,85247518,85281858,85357727,85643326,85741918,86069518,86353012,86541756,86557918,86622766,86682704,86983256,87182139,87240772,87460832,87619726,87754898,87880935,87903723,88064926,88254766,88401740,88563098,88567376,88744506,88894572,88944506,88945918,89086535,89090925,89247410,89302132,89331180,89362266,89395400,89402805,89516403,89527611,89567518,89618419,89640615,89783566,89979536,90243886,90247950,90329816,90579166,90711890,90900549,91153726,91165899,91451935,91483726,91684187,91684572,91841518,91930606,92169740,92491486,92538786,92725918,93382516,93440963,93491571,93509566,93682126,93722815,93739664,93836300,93939886,94039010,94224766,94469835,94639259,94654482,94789726,94864482,95030320,95113972,95153518,95269735,95286592,95362992,95376046,95616656,95707918,95900446,96264480,96317336,96446206,96473326,96797518,96855563,96931918,97252846,97275650,97412446,97518042,97535415,97856163,97886760,98123518,98294147,98383918,98393436,98651179,98694286,98822926,98848606,98859747,99206446,99460126,99567980,99638298,99774138,99837646,99912718,...,26898887053897528265640843234326473969907659262212546956691617397534390387925751697302407362686570214094621207849412387535681777267274923479795385520606315997407153959744251915118108466438458679207186805853218044881740098688908496683440730613901442804732781277435696912600103247070032538618236244670874144270102498695511806495412360320911020799124328041364031736748654828105538962241749043799078945122559428254209543026918060383290255705837757311952187839794915886539891713165282440771822342077193040241899130413997473001639286409600447380739639757804761653112982162474311893733485199255013785263995497753271138133198652126396639139998787293374585979080774693058180229818393964004576671182388974872214698908070471128167259529644760294391025729823107581931927188665005463011469461669769147655522758447158059879882200347531183695130592450648642924156250948551520172272966847386829926618667236901246177999187004954178448667262864382553995426302786425044371474410939981868625893075648176463835783639457412790685817272054383662742735494340067361401527777414929005180339157712840591356906444757381498973391990169855145278197719398305882669974079672428545815004154002429736813441881947338277489928663586442126842681571241016187589076427860783007273629101299876783801745430128565482461025319546034798503584000057993324110121705649849911760590537969776456965364288763870176697832161926145716508578230948734325954329164937711067684381930321308726382288043818672582748934288945384303444237236260466620230878823737281869803344990919657994374823723251846391117897505839504346903653898901721331650788846285690852067424377054928785346329112245623019540803390520783041327949442365100536609590128459440899134750781668070266480223836620473484210420785557256692343665245616185166542739591688478790599482168807711817949157116267344265080763128364684304555860635992574924159042366022655605210849695316208366141584007399554843013878885056151668059079441368440274041939286810630319510380661261193444003829348494028555919254420637342157836239103732939225544728156374971557800379814975854045382931373029390527402432102474916173530790972408459569449150269479088581039285179813884789630537787065800130145805492893685620964602646756603340981489132737185318785710962992551178935479390194184212837695333152744722582655362456876089362592860891283889094444498893083987520094045472872873920875617804491632870044151474736500348274968164306148910904262754230393598894915630887827044779311668482}
15459  2057475491661850382641432892144385794061478460550466960342609195: {231765,247216,278118,602277,787389,849365,1019238,1342149,1404949,1513414,1988277,2007070,2162020,2377606,2408484,2594424,2918727,3088600,3159665,3368877,3396580,3474675,3644349,3706320,3791598,3810469,3827877,3953408,4075896,4081265,4169610,4447584,4469469,4585383,4897518,4927029,4967494,5003532,5460965,5840349,6052088,6296109,6448486,6553158,6571957,6808599,6818734,6842229,7096420,7205829,7598609,7659789,7962317,7983934,8105475,8153477,8203749,8501269,8515704,8645840,8837277,9018069,9388510,9580167,9649375,9726570,10190877,10375008,10460949,10734497,10910589,11066629,11266212,11405620,11539396,11579250,11671884,11718429,11987277,12009437,12144670,12255909,12351200,12422878,12712966,12764645,12881877,12952241,13686744,13895100,13952229,14397189,14429254,14573604,14576165,14588977,14821440,14899549,15036461,15317574,15397587,15429149,15715294,15809470,15809536,15817029,16414328,16674120,16877877,17142549,17218318,17282645,17318877,17444749,17491398,17653477,17785728,18161380,18466119,18751877,18758385,18971364,19139806,19348357,19355089,19569829,19777389,19952277,20008944,20267716,20613220,20614909,20739174,20857304,20866589,20967029,21023332,21208798,21285070,21318065,21653806,21671549,21703486,21793656,21869709,21983475,22210865,22390629,22450420,22510062,22510957,22824069,23056861,23242804,23449040,23464467,23634449,23992145,24397438,24517863,24689038,24735864,24921070,25075061,25291669,25412109,25542084,25581678,25755549,25848737,26184309,26210645,26380170,26653038,26653265,26786734,26940504,26941924,27296277,27342580,27488326,27537195,27640510,27659749,27827847,28095046,28138848,28378558,28424677,28574277,28790574,28953880,29138692,29253669,29370334,29373008,29447009,29449870,29846877,29905284,30016149,30064661,30181265,30308067,30443398,30569476,31004980,31204849,31366869,31452774,31624181,31656204,31750501,31787709,31904797,31983918,32158510,32342086,32375877,32573115,32627589,32754766,32782375,32795277,32811096,32834932,33029086,33044634,33090915,33149038,33168612,33169549,33381429,34049877,34633509,34669777,34744656,34884934,35019694,35035357,35296976,35339844,35643886,35891812,36128877,36217518,36294549,36377349,36912483,36950269,37000894,37153421,37205976,37589701,37601765,37724669,37781277,38259269,38269126,38274628,38590212,38691646,38748916,39087738,39200007,39333976,39338850,39587829,39709098,39988669,40078509,40135780,40802566,40812909,41011078,41259646,41287972,41457649,41464077,41488145,41856723,41918165,41957620,41961440,42032589,42118654,42437949,42801286,43136638,43634645,43670680,43731069,43864141,43923652,44133909,44220469,44250723,44296357,44696877,44898641,44906129,45042478,45122118,45301009,45331396,45338829,46100317,46107718,46134949,46139109,46202980,46445309,46666675,46808806,46857309,47195044,47206620,47312869,47385070,47475665,47538694,47732469,48025252,48162936,48207149,48211864,48525549,48929614,49129515,49134995,49189636,49474077,49637854,49785774,49835620,49868277,50050510,50169315,50301798,50349144,50353728,50442965,50515678,51582238,51709265,51762901,51783677,51830277,51910318,52156078,52361574,52388549,52404816,52475701,52761797,52808206,52858420,53233629,53409286,53467294,53513936,53622069,54183303,54205198,54238347,54397149,54523534,54551877,54655069,54664414,54670180,54678040,55092669,55273780,55324077,55443576,55478229,55566808,55918534,55935521,56000010,56098372,56642787,56647944,56816686,56862084,56970798,57126670,57626221,57640517,58007877,58054852,58120901,58206071,58289380,58380709,58408145,58648229,58840894,58955418,58961994,58997229,59692846,59725375,59733344,59798429,59802744,59906877,60058149,60060612,60068465,60203178,60419749,60482645,60531558,60731477,60813069,61264869,61512795,61757329,61962724,62051118,62335846,62374023,62390589,62401534,62478157,62512659,62540277,62657797,62844824,62960165,63280510,63430104,63492718,63659877,63728937,63783796,63801286,63827428,63895549,64213181,64403277,64474429,64625829,64774077,65464357,65604216,65613648,65705619,65735349,65880301,65882877,65907070,65915206,66121534,66243365,66289444,66328536,66330334,66332734,66398469,67066126,67200012,67278087,67499349,67821277,67912420,68552004,68594829,68688958,68950468,68958789,69330526,69386129,69535515,69596221,69623869,69902277,69947256,70015438,70047069,70089774,70119429,70192850,70329118,70700427,70911220,71195597,71345877,71358867,71511637,71670450,71743909,71827678,71848869,72082158,72279069,72424097,72579174,72638278,72922749,73088977,73279509,73783486,73804743,73815354,73822261,73918709,74171216,74323957,74350565,74558877,74619603,74925229,75457169,75552198,75847366,75936612,76110349,76198246,76225732,76298980,76448480,76528228,76533549,76663246,76730404,76884189,77496454,78078670,78092020,78207172,78220975,78419877,78493726,78690663,78732094,78871661,79038589,79088484,79492038,79868536,79883620,79997597,80012949,80288709,80495277,80643646,80701629,80782757,80809318,81051709,81252989,81494904,81602977,82022206,82071789,82106477,82179736,82313765,82508548,82780375,83151530,83375768,83442618,83444644,83461395,83493229,83568238,83643461,83664574,83770989,84058420,84167175,84231420,84277669,84327406,84508177,84665134,85093464,85119549,85319077,85589277,85650915,86004540,86252206,86566318,86760629,87026129,87716806,87721629,87747709,88011166,88171846,88264132,88275469,88712709,88778589,89025488,89220678,89254510,89423494,89617156,89763909,89778320,89810734,89846848,89852103,89894877,90073204,90182677,90520145,90548277,90678669,91033054,91069269,91166741,91182040,91237157,91310629,91360976,91558776,91681767,91738176,91781477,92027029,92051549,92065265,92188606,92270596,92300469,92452203,92623029,92821827,92892148,93127661,93278321,93307636,93490789,93520510,93694404,93710424,93779277,93797739,93865170,93903886,94164580,94513204,94736877,94757620,95499069,95730147,95860344,96284645,96320877,96446949,96666065,96674381,96778227,96846718,96909766,96961189,97264077,97958854,98388789,98528115,98699829,98776518,98948229,99149518,99336450,99462670,99534397,99545489,99781836,...,40348330580846292398461264851489710954861488893318820435037426096301585581888627545953611044029855321141931811774118581303522665900912385219693078280909473996110730939616377872677162699657688018810780208779827067322610148033362745025161095920852164207099171916153545368900154870605048807927354367006311216405153748043267709743118540481366531198686492062046047605122982242158308443362623565698618417683839142381314314540377090574935383558756635967928281759692373829809837569747923661157733513115789560362848695620996209502458929614400671071109459636707142479669473243711467840600227798882520677895993246629906707199797978189594958709998180940061878968621162039587270344727590946006865006773583462308322048362105706692250889294467140441586538594734661372897890782997508194517204192504653721483284137670737089819823300521296775542695888675972964386234376422827280258409450271080244889928000855351869266998780507431267673000894296573830993139454179637566557211616409972802938839613472264695753675459186119186028725908081575494114103241510101042102291666122393507770508736569260887035359667136072248460087985254782717917296579097458824004961119508642818722506231003644605220162822921007416234892995379663190264022356861524281383614641791174510910443651949815175702618145192848223691537979319052197755376000086989986165182558474774867640885806954664685448046433145805265046748242889218574762867346423101488931493747406566601526572895481963089573432065728008874123401433418076455166355854390699930346318235605922804705017486379486991562235584877769586676846258759256520355480848352581997476183269428536278101136565582393178019493668368434529311205085781174561991924163547650804914385192689161348702126172502105399720335754930710226315631178335885038515497868424277749814109387532718185899223253211567726923735674401016397621144692547026456833790953988862386238563549033983407816274542974312549212376011099332264520818327584227502088619162052660411062908930215945479265570991891790166005744022741042833878881630956013236754358655599408838317092234562457336700569722463781068074397059544085791103648153712374260296186458612689354173725404218632871558927769720827184445806680598700195218708239340528431446903970134905011472233699105777978178566444488826768403219085291276319256542999729117083873983043685314134043889291336925833641666748339625981280141068209309310881313426706737449305066227212104750522412452246459223366356394131345590398342373446331740567168967502723}
15460  2066644391333818493676314656716793602410310096455265490784442285: {216314,262531,309020,370824,417177,586682,724411,803036,908659,956474,1049852,1276291,1358984,1528857,1551259,1789532,2008099,2062394,2270121,2644651,2651036,2702525,2916379,2980034,3006811,3010605,3211312,3243030,3346082,3457891,3459232,3547891,3566409,3612726,3860750,3891636,3894074,4245725,4258682,4491836,4622714,4632900,4711339,4859132,4941760,5055464,5094870,5103836,5295577,5332771,5421259,5434528,5530274,5559480,5687397,5774491,5930112,5959292,6073082,6113844,6254415,6530024,6569372,6652531,6671376,7334594,7346277,7349779,7451241,7505298,7523371,7565110,7610059,7783219,7787132,8231354,8387011,8394812,8472979,8737544,8816131,8870525,9078132,9122972,9158131,9584011,9607772,9672729,9829737,10008091,10191554,10213052,10228101,10346059,10598779,10644630,10807300,10934731,10938332,11076794,11185939,11354272,11783036,11958434,11975901,12018619,12024092,12101491,12267019,12773556,12968760,13254139,13587836,13662379,13833344,13947932,14068819,14082765,14257025,14362537,14424245,14547452,14589855,14634811,15021616,15117139,15439000,15562512,15624572,15676579,15983036,16341212,16899318,17000954,17108430,17175836,17309094,17333731,17368875,17507826,18029114,18189091,18217005,18248992,18250141,18420859,18497971,18526800,18602972,18634317,18711674,19069449,19196252,19341451,19431472,19561634,19761920,19797859,20025091,20327059,20407994,20423432,20517910,20530116,20533337,20842650,20852731,21089372,21418874,21597571,21643881,21671659,21860406,21967291,22188259,22232160,22408579,22503836,22701725,22856732,22976361,23091836,23321864,23355811,23500459,23572941,23714205,23714304,24254882,24621492,24718339,25011180,25143211,25295152,25334645,25701382,25766525,25827477,25845571,26071630,26237097,26279165,26369852,26395514,26603036,26609851,26678592,26885611,26954371,27242070,27365419,27638011,27652232,28063025,28381699,28457046,28709709,28835234,29053505,29058208,29158082,29159612,29311300,29480354,29645731,29854172,29962682,29974051,30013416,30235411,30283514,30365659,30401574,30432092,30625291,30690019,30763682,30819259,30883771,30884854,30919830,31108761,31285956,31461139,31524931,31534998,31588651,31813197,31927605,31969459,32037794,32158891,32480709,32555229,32690484,32847931,32910139,32981152,33675630,33677405,33765093,33882812,34056112,34108904,34178225,34340732,34417229,34864206,34912412,35173560,35182754,35339419,35457859,35537384,35634979,35920672,36192350,36395036,36423365,36596157,36716260,36971371,37028611,37033557,37085779,37103796,37381605,37518464,37597051,38099036,38158291,38211845,38313126,38372517,38387432,38657251,38756225,39004892,39150379,39313459,39421819,39570255,39745171,39795836,39873712,39979557,40021532,40094882,40119139,40180101,40410756,40412886,40542211,40547834,40647259,40849082,40908619,41013870,41043665,41232489,41425939,41460765,41783779,41822492,41937032,42087691,42138091,42142569,42185381,42208272,42338971,42383612,42567837,42638131,42645224,43167836,43179859,43185861,43277419,43326091,43430820,43503452,43708038,43727036,43748128,43829882,43999939,44055501,44059512,44121220,44142499,44174805,44224816,44331571,44508572,44799211,44857926,44864765,44938099,45006074,45168139,45399836,45665097,45757819,45854214,45936811,46027682,46178012,46203139,46326208,46507470,46510579,46753082,46824694,46857619,47119792,47179161,47411731,47484306,47843285,47871091,47906234,47912419,47975877,48171836,48237765,48290024,48392732,48436145,48483451,48503132,48513129,48603979,48620957,48622274,48907682,49040371,49132149,49167470,49196899,49216644,49252398,49468051,49543629,49566951,49607968,49723557,49752918,49902074,50169725,50375036,50444299,50608034,50693357,50698819,50748794,50878459,51126931,51453616,51579019,51609965,51918499,52116984,52151851,52266676,52316371,52327401,52447025,52451800,52529541,52783772,52945464,53009766,53081011,53204419,53296219,53438012,53465829,53537851,53745499,53833411,53837718,53891659,54220994,54235099,54291331,54319339,54326277,54417212,54588350,54762389,54864379,54904565,54917299,54989221,55100251,55285436,55455571,55501341,55505179,55603531,55676539,55700731,55796779,55808964,55962091,56043452,56502091,56545219,56583932,56664245,56693899,56714851,56799674,56859499,56920411,57060019,57403689,57411942,57421171,57469634,57475819,57583171,57670651,57705139,57753725,57773251,57885318,57906641,58037469,58111939,58123374,58217779,58308092,58473739,58592971,58631607,58730779,58813939,58845212,58848499,58871179,58948291,58993805,59000964,59001211,59008275,59091931,59139811,59158459,59194682,59238811,59458051,59501899,59563647,59595836,59607739,59675059,59710051,59717179,59723659,59729491,59731291,59737771,59745331,59752171,60031565,60113474,60162824,60203670,60244154,60264830,60451772,60765434,61203849,61487045,61516617,61518812,61889469,61931958,62294525,62476412,62936430,62942160,63177981,63643292,64201929,64217248,64700732,64704957,64899814,65506020,65602682,65851514,65885478,65965436,66073025,66381032,66491036,66892420,67069064,67132192,67138304,67209794,67563717,67683177,67997094,68065082,68337725,68347550,68429474,68950277,69092225,69107036,69161577,69274682,69304470,69458510,69815432,69873088,69884969,70122965,70213209,70792566,70809930,70978172,71077605,71308041,71496092,71907269,72002114,72037878,72244404,72317796,72529532,72568565,72735836,72861725,72953797,73164194,73394421,73456892,73765436,73784454,73924768,73970972,74197754,74456781,74666680,74678661,74753430,74766914,75075765,75445154,75452697,75523716,75530592,75670082,75773517,75816112,75961064,76006394,76229882,77343836,77373357,77453405,77865477,77887682,77897302,78106274,78234117,78542361,78556030,78607224,78615992,78662972,78758594,79212309,79287630,79729745,79736992,79784285,79875836,79940854,80077532,80080816,80113929,80200941,80260514,80270904,80708744,81084092,81307797,81316034,81686492,81785301,81996621,82005270,82017060,82734824,82861805,82910670,83165364,83187452,83350212,83387036,83689082,83877801,83992994,84000015,84147558,84573472,84879836,84890525,84896954,84971916,85225029,85293126,85456197,85690005,85788758,85871036,85887674,85985954,86167772,86188085,86365436,87082278,87434070,87442874,87472288,87484864,87528617,87607492,87634682,87647132,87843836,88021129,88111682,88261341,88433127,88438048,88442991,88531292,88639025,89279597,89539269,89600016,89704116,89999132,90090918,90259514,90304767,90625274,90797337,91169594,91402672,91459772,91945052,91959574,91976354,92714020,92944086,93076677,93203036,93263008,93345461,93396092,93453032,93492572,93503769,93554882,93602301,93729181,93985082,94267236,94581314,94834682,94920765,95127836,95145156,95239077,95282165,95330137,95373725,95420834,95560600,95660285,95675694,95701929,95741142,95798492,95913005,95917634,96109544,96327674,96372092,96490682,96772232,97020581,97230332,97615025,97706012,97758965,97995854,98159369,98406324,98420472,98705009,98860605,98866682,98872809,98982286,99182301,99250082,99411836,99434166,99478394,99492804,99495501,99499101,99780794,99835670,99854525,99856034,...,53797774107795056531281686468652947939815318524425093913383234795068780775851503394604814725373140428189242415698824775071363554534549846959590771041212631994814307919488503830236216932876917358414373611706436089763480197377816993366881461227802885609465562554871393825200206494140065077236472489341748288540204997391023612990824720641822041598248656082728063473497309656211077924483498087598157890245118856508419086053836120766580511411675514623904375679589831773079783426330564881543644684154386080483798260827994946003278572819200894761479279515609523306225964324948623787466970398510027570527990995506542276266397304252793278279997574586749171958161549386116360459636787928009153342364777949744429397816140942256334519059289520588782051459646215163863854377330010926022938923339538295311045516894316119759764400695062367390261184901297285848312501897103040344545933694773659853237334473802492355998374009908356897334525728765107990852605572850088742948821879963737251786151296352927671567278914825581371634544108767325485470988680134722803055554829858010360678315425681182713812889514762997946783980339710290556395438796611765339948159344857091630008308004859473626883763894676554979857327172884253685363142482032375178152855721566014547258202599753567603490860257130964922050639092069597007168000115986648220243411299699823521181075939552913930728577527740353395664323852291433017156461897468651908658329875422135368763860642617452764576087637345165497868577890768606888474472520933240461757647474563739606689981839315988749647446503692782235795011679008693807307797803442663301577692571381704134848754109857570692658224491246039081606781041566082655898884730201073219180256918881798269501563336140532960447673240946968420841571114513384687330491232370333085479183376957581198964337615423635898314232534688530161526256729368609111721271985149848318084732045311210421699390632416732283168014799109686027757770112303336118158882736880548083878573621260639020761322522386888007658696988057111838508841274684315672478207465878451089456312749943115600759629951708090765862746058781054804864204949832347061581944816919138898300538958177162078570359627769579261075574131600260291610985787371241929205293513206681962978265474370637571421925985102357870958780388368425675390666305489445165310724913752178725185721782567778188888997786167975040188090945745747841751235608983265740088302949473000696549936328612297821808525508460787197789831261775654089558623336964}
15461  2075853827449321874287892929279361437463856646998928227176140880: {15461,324471,386275,463530,494432,556236,880023,1003795,1189111,1204554,1312315,1434711,1574778,1698730,1868119,2038476,2236915,2684298,2809898,3026828,3093591,3313795,3903031,3976554,4014140,4324040,4423531,4458403,4470051,4755212,4816968,4864545,5019123,5188848,5419089,5614795,5713771,5791125,5837454,5841111,6073915,6177200,6273091,6319330,6379795,6388023,6737754,6793160,6934071,6949350,7288698,7412640,7449115,7583196,7620938,7642305,7645351,7655754,7906816,8122651,8151792,8162530,8211715,8295411,8339220,8492563,8895168,8938938,9109623,9170766,9410011,9733915,9795036,9854058,9934988,9988759,10007064,10493515,10921930,11001891,11257947,11258131,11337271,11347665,11403715,11680698,11997379,12009715,12104176,12347031,12347731,12592218,12766315,12896972,13106251,13106316,13143914,13509125,13617198,13637468,13672915,13684458,13845499,13867291,14192840,14192971,14411658,14728795,15030115,15038419,15197218,15287331,15319578,15924634,15952171,15966945,15967868,16210950,16306954,16407498,16615191,16637671,16984795,17002538,17031408,17052739,17244343,17291680,17434915,17514403,17674554,17770363,17870503,17937651,18036138,18184315,18299899,18555211,18777020,19160334,19298750,19453140,19530715,19978795,20381754,20406631,20426515,20750016,20921898,21468994,21469795,21573931,21674371,21821178,22074679,22133258,22413031,22532424,22811240,23076691,23078792,23158500,23253715,23336011,23343768,23436858,23974554,23995315,24018874,24195703,24221143,24289340,24511818,24702400,24845756,25264411,25348977,25411639,25425932,25501431,25529290,25662645,25763754,25904482,25963641,26261739,26303203,26361715,26740603,27043671,27109651,27373488,27409591,27790200,27904458,27907303,28067511,28129795,28570915,28794378,28858508,28864795,29072131,29147208,29152330,29177954,29342451,29450851,29623771,29634163,29642880,29799098,29845291,30068599,30072922,30400579,30611991,30635148,30776865,30795174,30858298,31095211,31263975,31419403,31430588,31618940,31619072,31628299,31634058,32059159,32128311,32515003,32790609,32828656,32911363,32962315,33253795,33348240,33589003,33755754,33805159,34102051,34285098,34436636,34565290,34637754,34889498,34982796,35306954,35530963,35571456,35650003,36322760,36382323,36449515,36639125,36694903,36932238,36945043,37158259,37314571,37317715,37351831,37503754,37516770,37729591,37942728,38040115,38264251,38279612,38412859,38429803,38552073,38696714,38710178,38965783,39001171,39107445,39139658,39554778,39593271,39904554,40017888,40535432,40801003,40863105,41226440,41229818,41478348,41714608,41733178,41934058,41964439,42046664,42253771,42353515,42417596,42570140,42636130,42685569,42925915,42950611,43252851,43307612,43343098,43371403,43406972,43587312,43640515,43737123,43739418,43935991,43966950,44220531,44421730,44680939,44781258,44900840,44904499,44912011,44944023,45020124,45021914,45425271,45493795,45602361,45648138,45787723,45895325,46113722,46119991,46145523,46232131,46327281,46379745,46485608,46898080,46928934,46964251,47268898,47302497,47623795,47984290,47995099,47996323,48056691,48756115,48794876,48910903,49035726,49378076,49471728,49744795,49842140,50026915,50150122,50189203,50200363,50513445,50583338,50824218,51084168,51163356,51511098,51697474,51790519,51909463,52116691,52278115,52296309,52368618,52395403,52421290,52642471,52760340,52774131,52979515,53091751,53306076,53306530,53573468,53881008,53883848,53959795,54288525,54379315,54592554,54640771,54658795,54685160,54976652,55074390,55151525,55281020,55319498,55635715,55655694,55942819,56190092,56277696,56749795,56757116,56849354,57148554,57469689,57581148,57722515,57907760,57972739,58083403,58277384,58507338,58655911,58664083,58685431,58722403,58740668,58746016,58894018,58899740,59594359,59693754,59806231,59810568,60032298,60129322,60142323,60214795,60362530,60490915,60616134,60619329,60628915,60821751,60886796,60890071,61088503,61138952,61198891,61273623,61520805,61860931,62009960,62129239,62354851,62409698,62733738,62821303,62905548,62968795,63248362,63312408,63435979,63501002,63575418,63809594,63967836,64182523,64221559,64317020,64446019,64684172,64751754,64828531,65146230,65255178,65333345,65509532,65562057,65564750,65590554,65622192,65669864,65736451,65744823,65979715,66022003,66058172,66089268,66181830,66298076,66337224,66339098,66352003,66389899,66465931,66762858,66797515,67178131,67286889,67509111,68021515,68099754,68120611,68781321,68788993,69041523,69056971,69106795,69267018,69277879,69339554,69489312,69761205,69769868,69902011,70039388,70054315,70070714,70129623,70237041,70593952,70620151,70679688,70729915,70917331,71226459,71287772,71525971,71783624,71859351,72176563,72257754,72259723,72392971,72435036,72589098,72690811,72754698,72885115,72933411,72939571,73361523,73556515,73751205,73824966,73878597,73896631,73900538,74001788,74306842,74411952,74494795,74629377,74853111,75017143,75179402,75203530,75449338,75562554,75564715,75912051,76123191,76518538,76538252,76549256,76554403,76898515,76967671,76978903,77180424,77223079,77383292,77489803,77497832,77549203,78095515,78175476,78400014,78667952,78677700,79000003,79016551,79175658,79418196,79514649,79554115,79977338,80157018,80271560,80408563,80512051,80756577,80875915,80944579,81331491,81605132,81625818,81771403,81882525,81938371,82022156,82066039,82117219,82456795,82519292,82575944,82701751,82915298,82928154,82976290,83113795,83548903,83615525,83713446,83836330,83915240,83922880,84065178,84095851,84140251,84237308,84334483,84419899,84675703,84875898,85199511,85558099,85602572,86111671,86117913,86204451,86273276,86383795,86548003,86827977,87185061,87269290,87341360,87462138,87674551,87728282,87847304,87909643,88144231,88267818,88382323,88440938,88501446,88592714,88722715,88792023,89370115,89393754,89409079,89797282,89812258,90084956,90170211,90204151,90244236,90305505,90366231,90397245,90561091,90602018,90661915,90662792,90677658,90919795,91148151,91248103,91821115,92195191,92200634,92206795,92215436,92269898,92278218,92405960,92463715,92740711,92890618,92897937,92972023,93027931,93211963,93290539,93333350,93454999,93617612,93714618,94065403,94257139,94390088,94404645,94413240,94530379,94625738,94770140,94951330,95077388,95464938,95470531,96050504,96325872,96414298,96423728,96590731,96679795,97051098,97349721,97828483,97853239,97859228,98062171,98247931,98259030,98269990,98328715,98368603,98379272,98404023,98777271,98828217,98851363,98948154,99106711,99275708,99397603,99571548,99671240,99736554,99844795,...,80696661161692584796922529702979421909722977786637640870074852192603171163777255091907222088059710642283863623548237162607045331801824770439386156561818947992221461879232755745354325399315376037621560417559654134645220296066725490050322191841704328414198343832307090737800309741210097615854708734012622432810307496086535419486237080962733062397372984124092095210245964484316616886725247131397236835367678284762628629080754181149870767117513271935856563519384747659619675139495847322315467026231579120725697391241992419004917859228801342142218919273414284959338946487422935681200455597765041355791986493259813414399595956379189917419996361880123757937242324079174540689455181892013730013547166924616644096724211413384501778588934280883173077189469322745795781565995016389034408385009307442966568275341474179639646601042593551085391777351945928772468752845654560516818900542160489779856001710703738533997561014862535346001788593147661986278908359275133114423232819945605877679226944529391507350918372238372057451816163150988228206483020202084204583332244787015541017473138521774070719334272144496920175970509565435834593158194917648009922239017285637445012462007289210440325645842014832469785990759326380528044713723048562767229283582349021820887303899630351405236290385696447383075958638104395510752000173979972330365116949549735281771613909329370896092866291610530093496485778437149525734692846202977862987494813133203053145790963926179146864131456017748246802866836152910332711708781399860692636471211845609410034972758973983124471169755539173353692517518513040710961696705163994952366538857072556202273131164786356038987336736869058622410171562349123983848327095301609828770385378322697404252345004210799440671509861420452631262356671770077030995736848555499628218775065436371798446506423135453847471348802032795242289385094052913667581907977724772477127098067966815632549085948625098424752022198664529041636655168455004177238324105320822125817860431890958531141983783580332011488045482085667757763261912026473508717311198817676634184469124914673401139444927562136148794119088171582207296307424748520592372917225378708347450808437265743117855539441654368891613361197400390437416478681056862893807940269810022944467398211555956357132888977653536806438170582552638513085999458234167747966087370628268087778582673851667283333496679251962560282136418618621762626853413474898610132454424209501044824904492918446732712788262691180796684746892663481134337935005446}
15462  2085103977801968059094156718357403731155521957908655690597342738: {169961,293417,355097,432628,525062,618040,695295,741648,834354,939461,1092761,1173364,1215257,1368197,1448822,1551461,1581977,1606072,1734437,1806831,1817318,1912948,2008361,2099704,2281637,2362167,2493737,2548095,2552582,2644997,2717968,2916761,2946917,3037337,3057714,3102518,3488357,3579064,3783535,3997337,4016198,4026447,4086917,4124788,4214847,4540242,4741637,5008361,5017675,5289302,5302072,5405050,5716457,5832758,5863397,5944015,5960068,5964831,6013622,6021210,6039461,6156677,6422624,6478361,6486060,6692164,6740837,6915782,6918464,7095782,7132818,7176857,7225452,7721500,7783272,7788148,7813097,8491450,8502761,8517364,8756181,8817317,8983672,9187817,9245428,9265800,9358361,9422678,9478995,9500261,9718264,9883520,10094057,10106631,10110928,10189740,10206761,10207672,10424025,10459877,10591154,10665542,10842518,10869056,10880297,10933047,11060548,11118960,11374794,11431407,11483631,11548982,11854277,11860224,11918584,12047897,12130757,12146164,12227688,12243795,12418735,12508830,13060048,13138744,13255961,13305062,13342752,13365017,13408407,13501157,13756149,14232857,14636837,14669188,14692554,14699558,14781087,14878361,14902482,14985497,15010596,15046742,15130220,15145961,15220118,15279461,15566438,15574264,15705317,16121215,16382895,16462708,16774022,16789624,16865861,16945958,17046835,17284037,17475088,17521047,17632262,17741050,18156264,18245944,18268997,18316262,18449177,18654617,18888327,19168022,19215544,19345458,19445861,19659474,19715871,19959835,20016182,20053157,20103557,20193943,20329961,20355077,20383108,20425797,20426104,20456202,20526687,20692118,20930537,21197558,21289260,21328361,21551237,21614600,21617487,21674777,21869462,21876664,21921257,21970457,22153588,22371878,22436261,22708544,22795827,22947737,22979367,23383337,23471275,23566072,23792357,23886951,23888261,23916868,23951802,24031877,24037238,24048184,24202982,24266671,24316425,24389657,24460431,24534038,24611247,25428761,25503807,25547112,25937520,26336837,26508278,26511831,26843717,26912537,27049961,27054207,27175672,27324758,27642137,27666688,27845861,27895864,28137638,28165530,28408361,28514050,28654277,28725074,28740501,28848490,28948125,29094904,29179710,29209577,29269622,29320037,29408261,29650217,30043232,30234278,30361675,30391961,30572631,30716261,30878000,31057195,31125024,31249144,31338137,31353158,31382847,31782415,31966072,31974377,32203491,32436377,32624261,32682424,32731767,32811497,32853017,32935961,33199887,33533477,33656261,33778757,33798636,34001908,34083737,34164761,34216860,34351672,34447337,34618188,34648217,34667462,34737750,34868261,34948037,35015652,35155287,35364761,35468503,35483177,35875817,35953961,35961831,36028311,36051461,36058228,36073135,36226457,36378182,36434010,36497984,36500282,36516677,36767727,36790831,36841718,36995942,37053600,37110761,37205944,37268634,37423348,37489961,37772261,37847237,37959461,38138898,38164457,38220197,38293935,38392504,38497817,38645631,38682902,38856723,38862944,39065861,39123268,39288235,39319877,39428261,39523675,39523840,39595718,39697961,39769577,40050182,40125737,40143461,40249637,40302617,40513817,40654118,40671461,40674907,40815988,40846864,40915397,40932761,41035820,41060232,41066674,41123237,41685300,41705462,41790761,41856687,42111557,42178744,42195497,42362777,42837748,42892697,42958361,43045795,43191567,43195142,43287762,43300997,43343318,43672217,43720812,43728495,43766931,43934582,44007461,44376518,44464320,44698647,44817158,45007672,45109383,45175961,45403450,45419417,45713464,45952722,45989417,46183672,46192761,46225961,46287447,46431257,46533317,46643728,46663961,46711622,46822757,47000918,47145882,47148367,47307461,47377961,47428410,47428608,47434217,47451087,47849515,47920997,48330437,48509764,48612761,49218857,49242984,49412837,49436678,49477097,49983977,50022360,50286422,50355737,50416997,50526761,50590304,50633631,50669290,50720297,50756357,50780357,50887961,50992711,51171737,51358361,51402764,51427647,51531461,51533050,51654954,51691142,51770777,51847935,51928361,51939557,51956631,52143260,52304537,52326377,52334247,52359077,52474194,52558330,52739704,52791028,52945817,52960431,53021995,53206072,53212675,53219702,53306597,53357184,53407877,53496583,53765861,53771222,53873177,53908742,53969897,54103961,54134515,54258715,54302117,54484140,54730838,54884261,54928361,55188761,55276022,55304464,55324697,55398357,55441961,55475177,55614917,55808261,55816217,55973657,56043461,56089637,56126050,56188697,56203817,56226437,56255631,56271461,56275155,56499497,56763398,56871557,56914092,56919017,57078761,57150437,57176261,57246617,57271961,57419418,57461131,57488261,57613337,57670468,57723461,57751961,57802757,57869477,57885977,58045071,58052261,58065267,58107010,58116416,58124837,58129961,58230761,58304261,58316164,58319224,58323557,58418117,58486937,58619177,58622600,58661657,58707461,58709487,58723877,58831337,58865861,58888517,58960708,58961957,59014937,59076137,59156837,59175461,59235461,59261417,59289497,59291462,59295017,59332167,59381477,59431961,59478917,59506217,59516357,59530217,59539877,59567657,59623961,59637317,59654117,59689961,59708344,59714537,59727557,59739461,59746457,59748197,59756261,59759897,59764517,59764997,59767577,59856831,59910331,59925364,59948102,60026832,60470822,60567028,60731318,60803148,60864184,60993595,61205023,61250582,61380038,61527364,61638518,61722595,61767542,61769708,61839660,61844727,62217522,62302675,62571912,62599767,62810671,62901087,62922278,63049862,63069996,63177302,63626394,63855210,63938918,63954195,64075588,64317782,64719187,64961418,65014647,65110458,65380968,65609127,65695862,65820278,65950425,65962304,66632595,66966835,66980599,67171887,67351260,67354810,67530186,67532871,67765624,67810603,68112224,68217808,68356450,68472207,68681464,68720815,68834458,69101275,69170583,69728412,69824824,70237615,70347120,70365508,70393401,70678838,70903347,70915718,70946395,71074768,71269958,71841344,71976435,72253951,72384700,72790072,72846730,73192314,73425835,73432520,73553589,73624675,73942742,74057222,74067114,74171558,74207592,74763210,75036928,75194102,75225183,75875007,76108495,76198072,76236327,76316582,76423690,76626252,76745034,76774864,76866391,77266647,77314502,77512450,77546211,78009784,78300758,78552927,78626918,78631935,78843638,79140510,79329943,79490342,79591672,79747424,79959114,79959795,80043064,80189764,80238278,80360202,80396275,80821512,80825772,80855215,81084422,81095668,81294518,81486691,81698164,81817238,81886915,81888831,82027740,82087330,82464978,82572715,82591327,82611585,82851878,82872595,82921530,82979247,83483541,83567558,83644984,83874064,84044191,84175382,84276182,84285138,84370762,84416544,84677942,84767224,85135674,85274031,85276262,85290448,85722831,86081863,86335672,86359718,86371722,86554838,86652182,86861640,87006904,87212335,87416076,87454072,87496256,87549235,87659764,87761007,87999878,88111002,88119024,88242440,88284998,88341027,88349610,88449632,88663142,89017144,89109715,89540631,89598422,89715852,89729530,89876198,90012148,90048447,90193983,90336278,90543795,90799672,90924201,91330194,91515638,91708428,91873622,92055364,92356024,92406278,92502235,92652416,93014940,93021158,93506164,93614547,93649388,93715238,94100607,94239584,94358322,94823462,94872543,94968612,95251503,95363127,95672815,95686570,95714391,95742182,95812468,95824838,95951754,96343672,96475530,96580048,96729115,96785464,96872290,96966902,97006264,97026258,97127631,97207958,97241914,97244548,97719345,97815364,97882767,98080742,98172151,98264298,98334940,98347125,98385831,98393798,98433288,98504796,98936102,99087258,99133902,99215936,99272745,99447114,99505836,99508647,99783079,99804148,...,121044991742538877195383794554469132864584466679956461305112278288904756745665882637860833132089565963425795435322355743910567997702737155659079234842728421988332192818849133618031488098973064056432340626339481201967830444100088235075483287762556492621297515748460636106700464611815146423782063101018933649215461244129803129229355621444099593596059476186138142815368946726474925330087870697095855253051517427143942943621131271724806150676269907903784845279077121489429512709243770983473200539347368681088546086862988628507376788843202013213328378910121427439008419731134403521800683396647562033687979739889720121599393934568784876129994542820185636905863486118761811034182772838020595020320750386924966145086317120076752667883401421324759615784203984118693672348992524583551612577513961164449852413012211269459469901563890326628087666027918893158703129268481840775228350813240734669784002566055607800996341522293803019002682889721492979418362538912699671634849229918408816518840416794087261026377558357558086177724244726482342309724530303126306874998367180523311526209707782661106079001408216745380263955764348153751889737292376472014883358525928456167518693010933815660488468763022248704678986138989570792067070584572844150843925373523532731330955849445527107854435578544671074613937957156593266128000260969958495547675424324602922657420863994056344139299437415795140244728667655724288602039269304466794481242219699804579718686445889268720296197184026622370204300254229365499067563172099791038954706817768414115052459138460974686706754633308760030538776277769561066442545057745992428549808285608834303409696747179534058481005105303587933615257343523685975772490642952414743155578067484046106378517506316199161007264792130678946893535007655115546493605272833249442328162598154557697669759634703180771207023203049192863434077641079370501372861966587158715690647101950223448823628922937647637128033297996793562454982752682506265857486157981233188726790647836437796712975675370498017232068223128501636644892868039710263075966798226514951276703687372010101709167391343204223191178632257373310944461137122780888559375838068062521176212655898614676783309162481553337420041796100585656124718021585294340711910404715034416701097317333934535699333466480305209657255873828957769628999187351251621949131055942402131667874010777500925000245018877943840423204627927932643940280120212347915198681636314251567237356739377670099069182394036771195027120338995221701506902508169}
15463  2094395020958979972889232151702891480159229126440776147929598378: {30922,540785,648942,772550,787593,927060,988864,1112472,1251531,1405313,1466705,1760046,1837241,2007590,2173233,2207777,2378222,2391185,2409108,2624630,2725977,2869422,3131681,3149556,3397460,3736238,3828873,4076952,4473830,4586571,4612673,4639313,4653777,4982921,5155985,5368596,5619796,6024297,6053656,6187182,6627590,6810363,7413653,7450085,7806062,7860713,7933953,7953108,8028280,8107575,8365205,8503481,8648080,8749137,8847062,8916806,8931713,8940102,9020433,9031815,9078257,9510424,9633936,9651875,9729090,9735185,10038246,10327361,10373673,10377696,10428761,10643673,10646705,10699227,10838178,11229590,11427542,11496401,11556785,11582250,11674908,11682222,11804897,12147830,12354400,12546182,12582617,12638660,12737175,12759590,12776046,13359137,13398593,13475508,13586320,13627481,13825685,13868142,13898700,14134017,14577396,14592773,14690921,14800361,14825280,14898230,15166392,15182705,15241876,15284610,15290702,15311508,15498737,15813632,15886731,15965201,15998313,16245302,16263777,16303584,16325060,16423430,16590822,16678440,16813601,16985126,17062191,17323473,17390417,17772677,17790336,17828897,17872841,17877876,18219246,18336485,18341532,18763245,18820022,18912775,19077893,19142081,19192577,19467830,19561961,19574921,19590072,19708116,19869976,19957593,19977518,20014128,20153237,20578385,20620313,20738177,20987030,21042161,21843860,22003782,22038831,22049337,22353723,22515894,22516262,22570113,22674542,22695330,22807430,22830177,23349657,23361396,23413577,23689793,23778713,23994758,24019430,24208352,24224297,24408881,24474353,24694062,24695462,25161033,25184436,25310501,25418937,25458041,25478885,25532630,25793944,26088257,26212502,26212632,26287828,26448393,26611575,27018250,27194837,27234396,27272453,27274936,27343001,27345830,27368916,27413177,27474393,27690998,27691985,27734582,27910937,27970313,28117217,28385680,28385942,28432073,28597121,28752033,28823316,29018187,29457590,29489211,29896085,30024273,30031937,30057713,30060230,30076838,30146453,30394436,30404561,30574662,30639156,30684303,31038177,31068833,31796337,31849268,31904342,31933890,31935736,32393153,32394857,32421900,32519237,32555201,32613908,32804193,32814996,32915657,33073721,33230382,33275342,33557817,33593441,33809561,33969590,34005076,34062816,34105478,34357973,34488686,34583360,34757417,34869830,35028806,35349108,35374361,35535617,35540726,35741006,35875302,35927703,35927957,36055857,36072276,36170441,36304473,36368630,36599798,36801057,36906401,37110422,37554040,37888097,38074961,38114057,38320668,38417861,38434817,38597500,38906280,38970857,39061430,39381713,39492977,39762417,39844121,39957590,39999281,40286657,40410713,40763508,40806341,40813262,40853030,40987137,41500032,41843796,42206457,42248295,42502385,42771075,42937988,42939590,43087611,43147862,43272735,43348742,43642356,43769565,43904433,44143073,44149358,44266516,44729273,44826062,45064848,45072785,45351417,45601121,45622480,45793697,45939557,46092293,46147241,46153382,46157584,46317000,46507430,46555313,46672022,46687536,46779185,46860497,46873716,47029737,47949108,47990630,48001361,48037748,48334001,48391406,48442286,48473921,48578680,48904085,48945497,49023636,49404800,49594337,49623317,49691512,50195777,50528822,50697954,50759813,50823278,50851864,51002862,51019985,51029321,51058580,51294775,51325290,51527508,51808964,51924353,51927282,52001193,52106625,52123577,52244801,52489457,52523478,52606406,52723430,53098697,53256161,53481206,53547185,53662457,54087342,54219302,54567273,54637973,54651015,54746976,54750423,54819182,55015781,55055561,55262577,55493913,55580400,55808916,55814606,55902951,56135022,56259590,56375681,57141830,57208347,57273473,57588756,57717016,57729590,58024353,58144262,58294416,58304660,58355908,58671737,58684902,58901702,59239781,59247542,59268326,59285760,59294921,59393577,59598196,59690582,60075273,60096281,60137198,60145844,60637205,60647921,60801158,60981177,61069097,61096721,61206977,61223982,61270296,61553730,61590348,61592453,61600011,61716596,62190422,62527950,62558193,62838806,62839337,62861176,63237880,63238144,63256598,63268116,63523217,63691313,64023653,64118318,64190897,64253455,64256622,64692137,64792713,64931643,65014977,65030006,65179075,65581218,65630921,65657312,65822726,65901873,65924630,65988785,66030617,66398561,66507590,66530417,66564777,66673313,66696480,67178006,67225737,67511508,67610318,68105175,68204102,68258561,68260037,68433797,68513237,68570196,68811881,68873272,68929083,69130580,69275508,69556181,69608561,69642713,69758057,69778996,69839321,69965592,70037681,70067433,70429697,70455113,70501377,70613908,70718823,71061926,71142615,71142912,71300006,71890001,71960993,72088085,72186017,72455417,72497777,72645520,72764646,72895205,72899030,73108373,73189361,73278250,73389806,73700885,73864476,73890086,74130233,74155017,74158121,74171321,74316518,74376713,74629142,74635430,74703662,74906705,75007508,75033540,75429633,75459182,75543713,75708785,75885456,76003935,76080230,76131041,76163477,76522313,76528502,76559224,76825718,76859606,76909205,77104146,77154257,77212135,77299575,77393428,77420356,77482431,77499941,77536713,77560097,77688533,77890001,77931566,78002342,78047993,78125777,78214890,78279316,78417761,78621041,78711291,78724133,78837495,79010441,79109556,79186542,79398377,79449713,79809108,79829553,80035776,80094485,80656833,80811521,80863113,81070864,81520697,81602006,81726210,81834017,81873857,82096257,82452880,82459636,82914033,82956696,83134277,83429216,83466356,83560913,83868116,83928878,84093328,84189075,84222101,84248057,84300713,84507542,84530693,84687281,84707030,84835192,84880481,85140280,85145097,85155593,85272260,85303877,85371138,85851830,85886537,85890617,85901222,86122937,86129127,86505702,86615224,86686196,86742806,86813944,87160515,87174624,87281030,87474246,87478836,87601961,87871982,87933900,87956885,88156313,88294121,88441062,88697621,88843460,88937193,89361878,89562516,89801680,89808998,89824022,89888046,89922153,89984057,90040248,90043828,90241961,90480875,90706233,90850542,90961793,90987590,91096977,91204722,91260041,91275641,91296276,91466683,91575446,91790650,91875873,92051153,92070057,92227444,92239982,92291046,92371601,92457777,92464262,92651313,92654562,92745113,92759490,92971216,93326283,93516521,93796160,93857868,93928502,93972377,94285361,94383417,94537796,94542761,94574793,94604994,94765953,95230121,95247590,95439591,95577893,95782815,95908377,95968580,95990198,95992646,96113382,96123617,96476673,96730121,96749513,96987137,97442127,97512230,97589752,97665687,97738433,97821806,97841297,98071452,98076041,98179961,98543793,98730417,98756152,98943456,99021881,99141617,99428201,99489590,99684280,99804641,...,161393322323385169593845059405958843819445955573275281740149704385206342327554510183814444176119421284567727247096474325214090663603649540878772313123637895984442923758465511490708650798630752075243120835119308269290440592133450980100644383683408656828396687664614181475600619482420195231709417468025244865620614992173070838972474161925466124794745968248184190420491928968633233773450494262794473670735356569525257258161508362299741534235026543871713127038769495319239350278991694644630934052463158241451394782483984838009835718457602684284437838546828569918677892974845871362400911195530082711583972986519626828799191912758379834839992723760247515874484648158349081378910363784027460027094333849233288193448422826769003557177868561766346154378938645491591563131990032778068816770018614885933136550682948359279293202085187102170783554703891857544937505691309121033637801084320979559712003421407477067995122029725070692003577186295323972557816718550266228846465639891211755358453889058783014701836744476744114903632326301976456412966040404168409166664489574031082034946277043548141438668544288993840351941019130871669186316389835296019844478034571274890024924014578420880651291684029664939571981518652761056089427446097125534458567164698043641774607799260702810472580771392894766151917276208791021504000347959944660730233899099470563543227818658741792185732583221060186992971556874299051469385692405955725974989626266406106291581927852358293728262912035496493605733672305820665423417562799721385272942423691218820069945517947966248942339511078346707385035037026081421923393410327989904733077714145112404546262329572712077974673473738117244820343124698247967696654190603219657540770756645394808504690008421598881343019722840905262524713343540154061991473697110999256437550130872743596893012846270907694942697604065590484578770188105827335163815955449544954254196135933631265098171897250196849504044397329058083273310336910008354476648210641644251635720863781917062283967567160664022976090964171335515526523824052947017434622397635353268368938249829346802278889855124272297588238176343164414592614849497041184745834450757416694901616874531486235711078883308737783226722394800780874832957362113725787615880539620045888934796423111912714265777955307073612876341165105277026171998916468335495932174741256536175557165347703334566666993358503925120564272837237243525253706826949797220264908848419002089649808985836893465425576525382361593369493785326962268675870010892}
15464  2103727136264535335579996235998162596401848412350582615383770304: {46383,200863,339922,570799,586834,710194,865256,973413,1050124,1123543,1158825,1236080,1390590,1483296,1582183,1668708,1878922,2185522,2312263,2346728,2403199,2430514,2640069,2736394,2897644,2947303,3011385,3102922,3163954,3212144,3398743,3468874,3567333,3613662,3634636,3825896,3936945,4016722,4117303,4199408,4206799,4246825,4304133,4563274,4724334,4987474,5096190,5105164,5289994,5296949,5435936,5604357,5628943,5833522,5893834,6074674,6115428,6205036,6508423,6710745,6976714,7024745,7158128,7567070,7994674,8032396,8052894,8073343,8173834,8249576,8321621,8429694,8589799,9080484,9103663,9280773,9483274,9529903,9941385,10016722,10035350,10578604,10604144,10713799,10797823,10810100,11049463,11432914,11665516,11709093,11726794,11883583,11888030,11920136,11929662,12027244,12042420,12078922,12313354,12845248,12956722,12972120,13203199,13270593,13375209,13384328,13410153,13481674,13831564,13836928,14191564,14265636,14353714,14450904,14593635,14907223,15057369,15308263,15443000,15566544,15576296,15626194,15798325,16025599,16104943,16257267,16737103,16844385,16982900,17005522,17034728,17141313,17286463,17373375,17386229,17512362,17523333,17634634,17967344,18221745,18297343,18375634,18490856,18531600,18682903,18716722,18819273,18845356,18957990,19000522,19052345,19139385,19164069,19436528,19448623,19767040,20188114,20213262,20221856,20357983,20379480,20406325,20413522,20415344,20802213,20848050,20919754,21182308,21331084,21331423,21480103,21685036,21738112,21760594,21866094,22121096,22237920,22347345,22569701,22749588,22862814,22878199,22926915,22936053,22967262,23097964,23708554,23720448,23837168,23865569,23891743,24035383,24095794,24261514,24292328,24321799,24367953,24393223,24455376,24487590,24635145,24837470,24886233,24962023,25017660,25385599,25455943,25477689,26120096,26277488,26363863,26511922,26610124,26685504,26730034,26778799,26816814,27002314,27304825,27328869,27512298,27532783,27872623,27943769,28230033,28465714,28479799,28678793,29201745,29273674,29338376,29385108,29399116,29562174,29756722,29804964,29966277,29970994,30021192,30070423,30093484,30135799,30201103,30260440,30291922,30440236,30558922,31043503,31132876,31148528,31410634,31480545,32242430,32765790,32859785,32925416,33003199,33005673,33548044,33579248,33731722,33773841,33774393,33891916,34011813,34042995,34093670,34211145,34291423,34533199,34568074,34950176,35042094,35132599,35264524,35482100,35959663,35992137,36029145,36309799,36312528,36491888,36537994,36599599,36632524,36898354,36944983,37041093,37043193,37309234,37776654,37993045,38298945,38336044,38431088,38522503,38690916,38891722,38908063,39126799,39318753,39318948,39431742,39722383,39811585,39919670,40032364,40106314,40150063,40203199,40207114,40387886,40527375,40659922,40710154,40766216,40767385,40851594,40852208,40912404,40939543,41018745,41053374,41384236,41508199,41536497,41601873,41861074,41966983,42219343,42395116,42506345,42578520,42578913,42656722,42965623,43014799,43063903,43102474,43229200,43234974,43349554,43480073,43738924,43753328,43791823,43842514,43940914,44186385,44307176,44495381,44690599,44743756,44872522,44922799,45090345,45115257,45417088,45591654,45608599,45861993,45895474,45958734,46012303,46056799,46672183,46766674,46942550,46974583,47132144,47145799,47584714,47773902,47776522,47833736,47856513,47900835,47903604,48063754,48074476,48096368,48246875,48405964,48533342,48632850,48779314,48920862,49068076,49222494,49383199,49728583,49845573,49913013,49955599,49993183,50502389,50857522,50954385,51007614,51094224,51158217,51193063,51263263,51733029,51875040,51949423,52049863,52248799,52304745,52379983,52543209,52673674,52893199,53016556,53023662,53311089,53357599,53611509,53672485,53687434,53812953,53825074,53980543,54084217,54099922,54108414,54351344,54552945,54649516,54899697,55003529,55053199,55079263,55157023,55284274,55333145,55333376,55436599,55461583,55585423,55665633,55691722,55791728,55827703,56131903,56245663,56275276,56331060,56618983,56816722,56931103,57011599,57028100,57031543,57188503,57308554,57450148,57481002,57666799,57696980,57837799,57896250,57904183,57936943,58001599,58065103,58142863,58189808,58359420,58419154,58435903,58449799,58539244,58592145,58636783,58640074,58724983,58785823,58816522,58957543,58989943,59063023,59243599,59300434,59475799,59544703,59594599,59680783,59745799,59763943,59783743,59936385,60047185,60086464,60264113,60468556,60723350,60783922,61145262,61219893,61279545,61432522,61756000,62114390,62250048,62498288,62676274,62706316,62765694,63564830,63823225,63932144,63948754,64406982,64409385,64721793,64761205,64872754,65023113,65248522,65364848,65463534,65622994,65706034,65871922,66224037,66291313,66399774,66989321,67066954,67239093,67312522,67557514,67597272,68003816,68167474,68329522,68433720,68703344,68894674,69230073,69236376,69296434,69334924,69475500,69736522,69761145,69896074,70008033,70031304,70310574,70729522,70937006,70966354,71751634,71907922,71923662,71985945,72056622,72102922,72116456,72146270,72333209,72452914,72587109,72663429,72756364,72868020,72880825,72944885,72995968,73000564,73033354,73535454,73581662,73683436,73991884,74107200,74221522,74230793,74411888,74497745,74537268,74846696,74979922,75182305,75544522,75694474,75724069,75788321,75793233,75918922,75962201,76046931,76234917,76277796,76328914,76404361,76440394,76504293,76587870,76785008,76987935,76995634,77145745,77291262,77365804,77713446,77725888,77890923,78131722,78246536,78576470,78639754,78785217,78856522,78909609,79047350,79047680,79085145,79191436,79395922,79539154,80100364,80221809,80251474,80286922,80499274,80605234,81027634,81131013,81308236,81328953,81342922,81349814,81631976,81693728,81830794,81865522,82071640,82120464,82133348,82228773,82246474,83370600,83410924,83581522,83713374,83721909,84202533,84223114,84357488,84389385,84390994,84725554,85391033,85675496,85712745,85785394,85916722,86091590,86383134,86390284,86411633,86413225,86575524,86594385,86601994,86686636,87216393,87223745,87344434,87441624,87456990,87533862,87869164,88014922,88027353,88267385,88352553,88753036,88871313,88902489,88928640,89397294,89535873,89634316,90015344,90205797,90218766,90351922,90806900,90838834,91201737,91426928,91835973,91905444,91978834,92330595,92367344,92385522,92451922,92574894,92862514,93066634,93285633,93287456,93327922,93423244,93645514,93753569,93759385,93791925,94001836,94258209,94291764,94296734,94614922,94755922,94856820,94857216,94868434,94884897,94902174,95699030,95841994,96177477,96209141,96302453,96384933,96660874,96741785,96775445,97019528,97225522,97545009,97849145,98332661,98371827,98437714,98485968,98734089,98825674,98873356,98886945,98954194,99324953,99761385,99967954,...,242089983485077754390767589108938265729168933359912922610224556577809513491331765275721666264179131926851590870644711487821135995405474311318158469685456843976664385637698267236062976197946128112864681252678962403935660888200176470150966575525112985242595031496921272213400929223630292847564126202037867298430922488259606258458711242888199187192118952372276285630737893452949850660175741394191710506103034854287885887242262543449612301352539815807569690558154242978859025418487541966946401078694737362177092173725977257014753577686404026426656757820242854878016839462268807043601366793295124067375959479779440243198787869137569752259989085640371273811726972237523622068365545676041190040641500773849932290172634240153505335766802842649519231568407968237387344697985049167103225155027922328899704826024422538918939803127780653256175332055837786317406258536963681550456701626481469339568005132111215601992683044587606038005365779442985958836725077825399343269698459836817633037680833588174522052755116715116172355448489452964684619449060606252613749996734361046623052419415565322212158002816433490760527911528696307503779474584752944029766717051856912335037386021867631320976937526044497409357972277979141584134141169145688301687850747047065462661911698891054215708871157089342149227875914313186532256000521939916991095350848649205845314841727988112688278598874831590280489457335311448577204078538608933588962484439399609159437372891778537440592394368053244740408600508458730998135126344199582077909413635536828230104918276921949373413509266617520061077552555539122132885090115491984857099616571217668606819393494359068116962010210607175867230514687047371951544981285904829486311156134968092212757035012632398322014529584261357893787070015310231092987210545666498884656325196309115395339519269406361542414046406098385726868155282158741002745723933174317431381294203900446897647257845875295274256066595993587124909965505365012531714972315962466377453581295672875593425951350740996034464136446257003273289785736079420526151933596453029902553407374744020203418334782686408446382357264514746621888922274245561777118751676136125042352425311797229353566618324963106674840083592201171312249436043170588681423820809430068833402194634667869071398666932960610419314511747657915539257998374702503243898262111884804263335748021555001850000490037755887680846409255855865287880560240424695830397363272628503134474713478755340198138364788073542390054240677990443403013805016338}
15465  2113100503843120367412600513619345647783841819000888241136225353: {61844,509883,757099,880251,1065291,1081570,1297884,1312655,1545100,1575186,1854120,1868603,1977728,2053387,2085885,2224944,2503062,2609191,2810626,2818383,2933410,3278283,3347659,3520092,3622055,3645771,3674482,4015180,4104591,4346466,4415554,4543295,4654383,4745931,4756444,4782370,4818216,5203311,5249260,5420493,5451954,5569147,5738844,6025083,6263362,6299112,6381455,6794920,6844911,6951263,7086501,7218379,7472476,7481211,7644285,7657746,7756295,7934991,8153904,8750283,8840751,8947660,8978783,9112011,9173142,9225346,9278626,9307554,9965842,10040495,10280471,10311970,10430119,10465071,10737192,11239592,11350605,11711287,11992011,12014123,12048594,12079341,12107312,12205063,12260751,12305399,12374364,12644541,13223255,13255180,13512625,13620726,13629259,14224911,14523143,14581895,14827306,14900170,14905387,15025083,15034055,15053025,15612124,15721426,15788071,15867906,15906216,16056560,16179499,16215150,16730410,17006962,17149371,17289455,17296160,17498274,17590191,17694124,17739455,17832045,17833612,17863426,17880204,17894493,18040866,18063630,18118383,18156514,18470031,18560039,19020848,19267872,19303750,19355959,19435083,19458180,19470370,20076492,20222511,20516203,20552311,20654722,20747346,20755392,20857522,20874731,21070279,21228625,21255787,21287346,21293410,21322351,21398454,21530571,21676356,22459180,22855084,22992802,23113570,23164500,23238167,23349816,23364444,23439291,23556695,23609794,23643671,24295660,24708800,25092364,25165234,25277320,25474350,25508283,25519180,25552092,25671079,25858823,26268543,26310047,26451951,26477885,26663855,26718274,26797186,26951016,27106295,27172640,27254962,27563451,27651370,27670591,27736284,27797400,28075083,28082219,28268034,28288207,28436985,28500783,28809739,28872455,29070343,29154792,29185546,29320331,29381842,29600722,29631479,29650560,29796460,30282171,30319893,30332784,30365410,30483752,30569220,30581404,30620283,30623016,30997474,31272075,31379631,31627264,31773462,31930402,31996626,32067563,32397391,32490604,32527554,32607168,32640891,32650120,32799141,32846860,33181644,33262655,33356880,33627202,33970252,34124382,34294221,34450893,34646946,34761943,34780834,35545354,35562831,35580672,35657794,35670439,35745682,35755752,35932663,36143691,36392271,36438492,36672970,36683064,36731385,36748895,36964747,37256205,37526490,37616855,37640044,37825550,38021819,38050295,38079919,38155786,38284162,38284831,38385154,38752367,38768779,38916095,38935660,39123922,39149842,39180144,39416232,39739952,39767883,39840071,39915186,39955036,40028256,40095051,40225221,40291903,40306474,40425787,40503471,41156770,41240626,41268447,41476354,41806063,41854519,41935055,41974060,42084322,42364895,42590507,42698571,43143431,43687720,43910511,44007564,44077662,44080655,44098674,44343261,44352625,44635083,44707446,44865127,44956491,45031788,45032524,45140226,45349084,45390660,45437883,45607087,45614860,45660354,45790655,45838383,46463567,46699314,46722792,46827154,46899743,47115951,47379586,47557426,47565887,47920055,47989516,48038860,48180511,48363645,48416704,48448594,48817762,48863903,48948706,48951883,49148685,49388124,49390924,50040455,50322066,50368872,50597583,50621002,50837874,50916082,50957770,51065260,51140505,51587888,51730295,51852111,52176514,52425004,52425264,52563141,52575656,52782719,52896786,52993895,53223150,54036500,54389674,54468792,54544906,54549872,54673655,54686002,54691660,54737832,54806991,54826354,54948786,55022959,55347531,55381996,55383970,55469164,55821874,55929695,55940626,55963851,56234434,56664981,56771360,56771884,56864146,57194242,57504066,57646632,57663419,58036374,58337583,58637183,58915180,58978422,59147613,59503339,59792170,59879505,60048546,60063874,60093095,60115426,60120460,60153676,60159471,60263659,60292906,60310671,60507455,60581829,60755351,60782927,60788872,60809122,60989883,61065231,61149324,61277391,61278312,61335095,61368606,61580061,61600591,61781527,62076354,62137666,62791611,62837771,63101899,63592674,63698536,63808684,63867780,63871472,63985083,64121207,64653711,64786306,64789714,64843800,64852461,65024331,65038474,65065663,65110402,65227816,65490859,65608386,65629992,65763771,65831314,65911371,66055127,66147442,66209167,66270695,66398783,66460764,66550684,67115634,67186882,67308783,67432271,67619122,67847851,67939180,68010152,68125632,68210956,68268943,68311895,68387481,68465719,68715946,68820859,68843211,68938101,68977372,69166720,69514834,69739660,70057612,70150011,70344095,70413825,70698216,70748722,71071234,71081452,71285125,71377071,71427979,71482012,71660853,71664783,71750604,71772031,71812685,71855406,71855914,72095631,72111714,72121225,72144552,72340882,72608946,72737260,72800013,72949275,73168971,73174055,73199596,73381293,73602114,73812802,73833741,73947767,74220844,74264671,74353159,74966059,75108080,75585695,75776194,76149922,76228114,76286283,76511421,76574471,76641336,76835722,76869634,77164363,77195000,77812560,77941714,78122860,78382895,78631327,78763426,78985954,79010511,79524834,79535493,79688242,79915180,79998562,80029319,80531151,80573314,80737611,80821426,81083467,81149883,81162621,81527016,81540959,81612682,81626524,81634951,81706060,81974274,82264663,82723883,82926411,83000064,83537583,83687592,84412914,84496590,84892087,85004770,85225083,85352599,85542150,85679191,85867079,85875976,85879180,85962831,86175222,86221503,86295724,86545470,86668655,86697484,86844375,87284712,87539130,87628731,87808866,87960111,88224783,88286146,88298716,88305787,88310071,88533032,88709239,88950651,89080799,89458546,89652124,89954837,90129696,90145570,90571519,90702834,90945455,91085025,91175883,91186903,91202242,91244960,91250705,91273919,91587394,91625711,91717893,91879114,92104295,92148783,92184586,92219963,92294482,92306764,92315168,92384299,92489855,92634000,93014860,93110626,93171585,93344044,93375072,93558370,93720994,93747432,93875351,94014411,94059474,94122059,94148541,95347245,95530987,95898216,95923131,95981260,95996219,96002722,96075496,96582587,96610473,96668002,96707255,96782812,96884572,96947842,97157360,97309131,97808170,97872783,97890994,97985543,98047272,98195301,98434491,98559051,98807883,98809600,98989295,99154603,99188674,99246634,99383024,99599661,...,363134975227616631586151383663407398593753400039869383915336834866714270236997647913582499396268697890277386305967067231731703993108211466977237704528185265964996578456547400854094464296919192169297021879018443605903491332300264705226449863287669477863892547245381908320101393835445439271346189303056800947646383732389409387688066864332298780788178428558414428446106840179424775990263612091287565759154552281431828830863393815174418452028809723711354535837231364468288538127731312950419601618042106043265638260588965885522130366529606039639985136730364282317025259193403210565402050189942686101063939219669160364798181803706354628389983628460556910717590458356285433102548318514061785060962251160774898435258951360230258003650204263974278847352611952356081017046977573750654837732541883493349557239036633808378409704691670979884262998083756679476109387805445522325685052439722204009352007698166823402989024566881409057008048669164478938255087616738099014904547689755226449556521250382261783079132675072674258533172734179447026929173590909378920624995101541569934578629123347983318237004224650236140791867293044461255669211877129416044650075577785368502556079032801446981465406289066746114036958416968712376201211753718532452531776120570598193992867548336581323563306735634013223841813871469779798384000782909875486643026272973808767972262591982169032417898312247385420734186002967172865806117807913400383443726659099413739156059337667806160888591552079867110612900762688096497202689516299373116864120453305242345157377415382924060120263899926280091616328833308683199327635173237977285649424856826502910229090241538602175443015315910763800845772030571057927317471928857244229466734202452138319135552518948597483021794376392036840680605022965346639480815818499748326984487794463673093009278904109542313621069609147578590302232923238111504118585899761476147071941305850670346470886768812942911384099893990380687364948258047518797572458473943699566180371943509313390138927026111494051696204669385504909934678604119130789227900394679544853830111062116030305127502174029612669573535896772119932833383411368342665678127514204187563528637967695844030349927487444660012260125388301756968374154064755883022135731214145103250103291952001803607098000399440915628971767621486873308886997562053754865847393167827206395003622032332502775000735056633831521269613883783797931820840360637043745596044908942754701712070218133010297207547182110313585081361016985665104520707524507}
15466  2122515304602897855239327460690117705214461136256920356775058180: {77305,92766,355189,401726,679844,816889,1141598,1173668,1276789,1368553,1420388,1622355,1643413,1730512,1931375,1946826,2100073,2100248,2247086,2317650,2362779,2472160,2554933,2736373,2781180,2966592,3007993,3164366,3337416,3549289,3639253,3754593,3757844,4215939,4371044,4400115,4445689,4624526,4693456,4802233,4806398,4861028,5018975,5280138,5423413,5472788,5511723,5776789,5795288,5864953,5894606,5945555,6022770,6205844,6327908,6424288,6519699,6561575,6623331,6742633,6797486,6937748,7134666,7173555,7227324,7269272,7613113,7651792,7873890,8033444,8177931,8234606,8398816,8413598,8476393,8493650,8608266,8733973,8905333,9126548,9340595,9395043,9448668,9672889,9834643,9974948,10096789,10192380,10210328,10579988,10593898,10603093,10871872,10939189,11184575,11208714,11257886,11486619,11667044,11691193,11787668,11857513,12106453,12149348,12230856,12272053,12410072,13016846,13421490,13504873,13749493,13759713,13838019,13917939,13953428,13961331,14049490,14155753,14316256,14721493,14948763,15134140,15467955,15762793,15989348,16064792,16105788,16146686,16347668,16499152,16568975,16634389,16643242,16859388,17179598,17341033,17419189,17886613,18072891,18160968,18207326,18274153,18505813,18561546,18966548,19059806,19515155,19806313,19882770,20033444,20070700,20109289,20431089,20936533,21157208,21208288,21427598,21595646,21606889,21620200,21681013,21976789,22098926,22117655,22240959,22271413,22292015,22350255,22638073,22865828,23002933,23331032,23418186,23453588,23510713,23582139,23767166,23776060,23801859,23840272,23859324,24054488,24084840,24157844,24322725,24444373,24626708,25095615,25154293,25510443,25646953,25690496,25913444,25926889,25944240,26247411,26406398,26541186,26673283,26690773,26750418,26768656,26795139,26820306,26897593,26963348,26966389,27061299,27095445,27234771,27663128,27673856,27718393,28057333,28073975,28383128,28394473,28531272,28568855,28662889,28707428,28901808,28955625,29187270,29205555,29262613,29593273,29814446,30114738,30369575,30616526,30704053,30886000,30897913,30982083,31121019,31133088,31152592,31252388,31286283,31365455,31539433,31596650,31603189,31733339,31898975,31931019,31940115,31984213,32051198,32097681,32209886,32514534,32863189,32925433,33474206,33688770,33893119,33965800,34011044,34033513,34069456,34282626,34489203,34572926,34670355,34746750,34772458,34998889,35024724,35046666,35237353,35269268,35414691,35651893,35934688,36412393,36443490,36594686,36701653,36751268,36816853,36981712,37046389,37063200,37103593,37245575,37365806,37433444,37638546,37690712,37747851,37915980,38001044,38104690,38211525,38226755,38232553,38278770,38328138,38510293,38676073,38873056,38897246,39278389,39534080,40077411,40195779,40351189,40376228,40426524,40443712,40562293,40613255,40667413,40715966,40758960,40812650,40827044,40830688,40882443,41058575,41477055,41604426,41696100,41839508,42108853,42159289,42209653,42360313,42364616,42402051,42462815,42662168,42662846,42960206,43201813,43348153,43370072,43476224,43521188,43732188,43778319,44070133,44072763,44242192,44401083,44475840,44589289,44694690,45139402,45237433,45465493,45499176,45548115,45725628,45756398,45853830,45872106,45934524,46003699,46005493,46195928,46403689,46496211,47050055,47417108,47440896,47660193,47674336,47688889,47731138,47783486,47895603,47938153,47994939,48070766,48191588,48347833,48509689,48523028,48584656,48643598,48669575,48670393,48735906,48750313,48786446,48791331,48910752,48975180,49106389,49270290,49301689,49456633,49674940,49772466,49876789,49924046,49943795,50035320,50440803,50771198,50799289,50911886,50955378,51186573,51190933,51642553,51970419,51981673,52148533,52171251,52240192,52346389,52379113,52467575,52541653,52554976,52727726,53023844,53142889,53190263,53220248,53318031,53371008,53460068,53486691,53557598,53618523,53633628,53747689,53865193,53894389,54004628,54039289,54295573,54351733,54609650,54657738,55009455,55024596,55065566,55735033,55736219,55745246,55887538,56227189,56289735,56290655,56361973,56460066,56537653,56686355,56738325,56750773,56895673,56931428,56956693,56959598,56976889,57018575,57074339,57096553,57233679,57271189,57357586,57365689,57426243,57577731,57620713,57638389,57814163,57828073,58403490,58513333,58547348,58645813,58676752,58685883,58724763,58770216,58771093,58798232,58934389,59031913,59052793,59124348,59289493,59323189,59371573,59402389,59507689,59508883,59513444,59545273,59563093,59609928,59651833,59723113,59752633,59757673,59764693,59769013,59776789,59778553,59791189,59792233,59795689,59872779,59932554,59941988,59986895,60042384,60048575,60140846,60186968,60271598,60402206,60459711,60520880,60583844,60880472,61117844,61735155,61738655,61860939,62087006,62214531,62265752,62297056,62821268,62961090,63126483,63831575,63917711,64484860,65531255,65531580,65719570,65850832,66006398,66011346,66116493,66148011,67061169,67096088,67158496,67463444,67545625,67547682,67548786,67710339,67783832,68023626,68085990,68187340,68364575,68422290,68490531,68582846,69066398,69136148,69227495,69336455,69900352,70048971,70084188,70240731,70265198,70529048,70964200,70964855,71069379,71336139,71919326,71984274,72058290,72619598,72625056,72672891,72983776,73075988,73199198,73226643,73265048,73423059,73643975,73796708,73889966,74082186,74086386,74090291,74618468,75141479,75150575,75192095,75483099,75553308,75931503,75986090,76256811,76374123,76436655,76597890,76672088,76862176,77045006,77381832,77466403,77783444,77816126,78253598,78264771,78344279,78637506,78637896,78863484,79345179,79444766,79623170,79760855,79834725,79839340,80064728,80131403,80212628,80300126,80406398,80414228,80775772,81054750,81319844,81420308,81532432,81534770,81584511,81703188,81704416,81817359,81824808,81879086,82029003,82037490,82106748,82239531,82423179,82768472,83016398,83072994,83075955,83188355,83203746,83722148,83732811,83910939,83933966,84066059,84351651,84438686,84632783,84790232,84923975,85012690,85157040,85157826,85263695,85296219,85313444,85791363,85931246,86029598,86127806,86204948,86221715,86256099,86458400,86469948,86699108,86960146,87054561,87174575,87477848,87506656,87572015,87583646,87685028,87881828,88372770,88467633,88614352,88851815,88990762,89352515,89381198,89487512,89688255,89745044,89845598,90072819,90095811,90173139,90180690,90230514,90296063,90439359,90665687,90834176,90921575,91183308,91213683,91217198,91499495,91723986,91790948,91917468,92024606,92052909,92113598,92776055,93114531,93206499,93344366,93533348,93885100,93949166,94264288,94291598,95169428,95389011,95547804,95553044,95667472,95713026,95801670,95807208,96127508,96148952,96192736,96493750,96811928,97066684,97179459,97184571,97265700,97557711,97558628,97653575,97665603,97841724,98136152,98412579,98444988,98702483,98746971,98766398,99221163,99457166,99691146,99826026,99893975,99911198,99986366,...,484179966970155508781535178217876531458337866719825845220449113155619026982663530551443332528358263853703181741289422975642271990810948622636316939370913687953328771275396534472125952395892256225729362505357924807871321776400352940301933151050225970485190062993842544426801858447260585695128252404075734596861844976519212516917422485776398374384237904744552571261475786905899701320351482788383421012206069708575771774484525086899224602705079631615139381116308485957718050836975083933892802157389474724354184347451954514029507155372808052853313515640485709756033678924537614087202733586590248134751918959558880486397575738275139504519978171280742547623453944475047244136731091352082380081283001547699864580345268480307010671533605685299038463136815936474774689395970098334206450310055844657799409652048845077837879606255561306512350664111675572634812517073927363100913403252962938679136010264222431203985366089175212076010731558885971917673450155650798686539396919673635266075361667176349044105510233430232344710896978905929369238898121212505227499993468722093246104838831130644424316005632866981521055823057392615007558949169505888059533434103713824670074772043735262641953875052088994818715944555958283168268282338291376603375701494094130925323823397782108431417742314178684298455751828626373064512001043879833982190701697298411690629683455976225376557197749663180560978914670622897154408157077217867177924968878799218318874745783557074881184788736106489480817201016917461996270252688399164155818827271073656460209836553843898746827018533235040122155105111078244265770180230983969714199233142435337213638786988718136233924020421214351734461029374094743903089962571809658972622312269936184425514070025264796644029059168522715787574140030620462185974421091332997769312650392618230790679038538812723084828092812196771453736310564317482005491447866348634862762588407800893795294515691750590548512133191987174249819931010730025063429944631924932754907162591345751186851902701481992068928272892514006546579571472158841052303867192906059805106814749488040406836669565372816892764714529029493243777844548491123554237503352272250084704850623594458707133236649926213349680167184402342624498872086341177362847641618860137666804389269335738142797333865921220838629023495315831078515996749405006487796524223769608526671496043110003700000980075511775361692818511711730575761120480849391660794726545257006268949426957510680396276729576147084780108481355980886806027610032676}
15467  2131971720239089640832225830556047932997187675319429994568291283: {15467,123688,139149,602589,849805,1019766,1467085,1514198,1712397,1760502,1775485,1837717,2130582,2163140,2208349,2595768,2625310,2887093,2920239,3090200,3150372,3370629,3476475,3708240,3737206,3955456,4106774,4171770,4449888,4697305,4746549,4921213,5006124,5070877,5218382,5463805,5621252,5636766,5866820,6031957,6076285,6360613,6556566,6695318,6840985,6936789,7040184,7209597,7244110,7290349,7291542,7348964,7757305,7909885,7920207,8030360,8209182,8215129,8672185,8692932,8831108,8841909,8934037,9034155,9086590,9308766,9491862,9512888,9564740,9636432,9694777,10041805,10196229,10406622,10498520,10611289,10701999,10840986,10858813,10903908,10989469,11138294,11408185,11477688,11810835,12050166,12351909,12352549,12468685,12526724,12598224,12620397,12740475,12762910,12912399,13224985,13362613,13589840,13689822,13753093,13902526,14035549,14056693,14173002,14198509,14436758,14583805,14734585,14944952,14962422,15186685,15231589,15288570,15315492,15437173,15512590,15869982,15890847,16307808,16388053,16525273,16813071,16886829,17441785,17500566,17521237,17681502,17895320,17957566,18065773,18224022,18346284,18450692,18512557,18557252,18615108,18761629,18917675,19082857,19525269,19931684,19986685,20080990,20132235,20414653,20434585,20560942,20623940,20743573,20860238,20930142,20977933,21047677,21074235,21414613,21474384,21582349,22479184,22701210,23085733,23241193,23422574,23695957,23708185,23984022,24028246,24097188,24158682,24205237,24214624,24220029,24410126,24521502,24610798,24748728,24835237,24964863,25041805,25088173,25088375,25104109,25274269,25289082,25769397,25972069,26354233,26421373,26446510,26510360,26751037,27025250,27120229,27201913,27241452,27258518,27310989,27842319,28085893,28124533,28449822,28582285,28589709,29046286,29163790,29316985,29324149,29654612,29720075,29800340,29810774,29824155,30050166,30068110,30080413,30106050,30154297,30197305,30783385,31076917,31224248,31442852,31576142,31735812,31812432,32113120,32141397,32358998,32391805,32393469,32403349,32430300,32979373,33066253,33148389,33188077,33405529,33460820,33704185,33958957,34013924,34115413,34298742,34578910,34592320,34996548,35127279,35180382,35187469,35388248,35478910,35650749,35663977,35664090,35667224,35726852,35760408,35788986,35884285,36081732,36127260,36236766,36313028,36940062,37069039,37120078,37329397,37366549,37898029,37948813,38041696,38356813,38535744,38607500,38711918,38870166,38916360,38940740,39065485,39272533,39609597,39615769,39811779,39845269,40005493,40125627,40152984,40230459,40348093,40421437,40445022,41032406,41104622,41309444,41494692,41510784,41715044,41749462,42140558,42191173,42360277,42457250,42511574,42513805,42574692,42586820,42596053,42644702,42796908,42967573,43061142,43149049,43311469,43352712,43780905,43953349,44034253,44086585,44721669,44918360,44929657,44934877,44938333,45172107,45710168,45924789,45939085,45985604,46138069,46227140,46329000,46469653,46476334,46567717,46699632,46728888,46791805,46878582,46982713,47113390,47219588,47233549,47287342,47394975,47501305,47572093,48076797,48232357,48314829,48454969,48591320,48771801,49417600,49545973,50184728,50211309,50330468,50470285,50533155,50554640,50846293,50948700,51016566,51033805,51038360,51104184,51158173,51219613,51342158,51423939,51448453,51717646,51859389,51929869,52120125,52158687,52299385,52537086,52569999,52620094,52663597,52789693,52903902,52955770,53270413,53327710,53429869,53436548,53594372,53902032,54212590,54345280,54401485,54482533,54509924,54665235,54892029,55126902,55201357,55302740,55341182,55426969,55472568,55594800,56048709,56150166,56164438,56457819,56536068,56576414,56873970,57001566,57157035,57284473,57418155,57492207,57619478,57725557,57744910,57748249,57995773,58140686,58151293,58309584,58345869,58371092,58640662,58678957,58709077,58763684,59201444,59262958,59271385,59301120,59310853,59592920,60239485,60274537,60564342,60639786,60653785,60665568,60730820,60763309,60963433,60967504,61073949,61138440,61162808,61218975,61240566,61246032,61670269,61712917,61885549,61994948,62093675,62379577,62406639,62544150,62759262,62856013,63254528,63502549,63539869,63546924,63860804,63993252,63994269,64106917,64129573,64135126,64440309,64794782,64854133,64974853,64981208,65055108,65214336,65281782,65300240,65598282,65693720,66063769,66279805,66363288,66378217,66525310,66713760,66825085,66941773,67042035,67088077,67204453,67254404,67441069,67505785,67709103,67901077,67940504,68147677,68248764,68588442,68634597,68780745,68808159,68901786,69293892,69298489,69523886,69561668,70056637,70610653,70945129,71090708,71125662,71161344,71164285,71315588,71340878,71448469,71449657,71491364,71511504,71596707,71675229,71865326,72106149,72287382,72422413,72517093,72719293,72784542,72876984,72920053,72965397,73103859,73158349,73179669,73184185,73345940,73366128,73462770,73497790,73905435,73925749,73929494,73957453,74154253,74191453,74391805,74512410,74658699,74886069,74927485,75052980,75233710,75280088,75651100,75729805,76043638,76100590,76156797,76159838,76311572,76367829,76397305,76433067,76543117,76568324,76569662,76770308,77009077,77504734,77537558,77832190,77871320,78247844,78299684,78301573,78360288,78471289,78526585,78832464,79047613,79091589,79209469,79447957,79479904,79535766,79661893,79680142,79830372,79910072,80039893,80056512,80188933,80190102,80336397,80440069,80450442,80543977,80583806,80606075,80612948,80851574,81006942,81295477,81855469,81914475,81970489,81986607,82098973,82313540,82481252,82536894,82598349,82952708,83612126,83617869,83688253,83709038,83831307,83870110,83948120,84130333,84168644,84329305,84690099,84710437,84729790,85181014,85234175,85397142,85439397,85869133,85878313,86036379,86286862,86420185,86805997,87071833,87120613,87375440,87605235,87709189,87821022,88015128,88155324,88161310,88197348,88686522,88705250,89270166,89414892,89444533,89594233,89730254,89770357,89898831,89912982,90055717,90063576,90065048,90211269,90239509,90280452,90407397,90603309,90698168,90781320,90875766,91134013,91214174,91214413,91229720,91320708,91344985,91581310,91676766,92100373,92245885,92778973,92927134,93130509,93174013,93177733,93273085,93327193,93398628,93445584,93654308,93799486,94102837,94134373,94231902,94310077,94437013,94441635,94573309,94759172,95114852,95131774,95603257,95636653,95840110,95979032,96009133,96077720,96361022,96724933,96727290,96833408,96897188,97229305,97635524,97727806,97764589,97897412,97903766,98286553,98297370,98387869,98481733,98579355,98682949,98776248,98781848,99009597,99017019,99560893,99598393,99799175,99856573,...,726269950455233263172302767326814797187506800079738767830673669733428540473995295827164998792537395780554772611934134463463407986216422933954475409056370531929993156913094801708188928593838384338594043758036887211806982664600529410452899726575338955727785094490763816640202787670890878542692378606113601895292767464778818775376133728664597561576356857116828856892213680358849551980527224182575131518309104562863657661726787630348836904057619447422709071674462728936577076255462625900839203236084212086531276521177931771044260733059212079279970273460728564634050518386806421130804100379885372202127878439338320729596363607412709256779967256921113821435180916712570866205096637028123570121924502321549796870517902720460516007300408527948557694705223904712162034093955147501309675465083766986699114478073267616756819409383341959768525996167513358952218775610891044651370104879444408018704015396333646805978049133762818114016097338328957876510175233476198029809095379510452899113042500764523566158265350145348517066345468358894053858347181818757841249990203083139869157258246695966636474008449300472281583734586088922511338423754258832089300151155570737005112158065602893962930812578133492228073916833937424752402423507437064905063552241141196387985735096673162647126613471268026447683627742939559596768001565819750973286052545947617535944525183964338064835796624494770841468372005934345731612235615826800766887453318198827478312118675335612321777183104159734221225801525376192994405379032598746233728240906610484690314754830765848120240527799852560183232657666617366398655270346475954571298849713653005820458180483077204350886030631821527601691544061142115854634943857714488458933468404904276638271105037897194966043588752784073681361210045930693278961631636999496653968975588927346186018557808219084627242139218295157180604465846476223008237171799522952294143882611701340692941773537625885822768199787980761374729896516095037595144916947887399132360743887018626780277854052222988103392409338771009819869357208238261578455800789359089707660222124232060610255004348059225339147071793544239865666766822736685331356255028408375127057275935391688060699854974889320024520250776603513936748308129511766044271462428290206500206583904003607214196000798881831257943535242973746617773995124107509731694786335654412790007244064665005550001470113267663042539227767567595863641680721274087491192089817885509403424140436266020594415094364220627170162722033971330209041415049014}
15468  2141469933237373592507064874447037643899923389551975198553390006: {108227,154610,185532,262667,447731,632507,710378,803452,1031867,1359688,1529649,1633778,1643627,1674131,2100347,2130731,2271297,2282531,2283196,2347336,2553578,2640753,2703925,2736731,2737106,2766947,2840776,2917907,3008387,3038531,3195873,3244710,3286826,3459707,3461024,3669707,3819467,3862750,3893652,3937965,4088531,4200146,4200496,4267547,4494172,4635300,4654427,4725558,4944320,5010347,5099147,5109866,5246987,5472746,5542067,5562360,5605809,5933184,6015986,6160161,6257655,6328732,6674832,7026565,7098578,7278506,7333525,7469531,7509186,7515688,7787387,7827573,8323777,8431878,8455149,8506187,8592107,8742088,8800230,8891378,8906531,8935067,9163067,9186205,9249052,9386912,9504107,9589187,9604466,9612796,9722056,9834849,10037950,10042977,10351667,10464131,10560276,10716707,10846826,10866165,10937313,10945576,11023446,11038885,11052467,11303531,11553578,11590576,11729906,11789212,11886827,11891110,11955925,12045540,12135731,12273731,12313773,12411688,12655816,12796307,12848576,13039398,13076833,13123150,13206827,13246662,13261427,13370531,13485266,13594972,13629885,13875496,13963149,14237793,14269332,14347110,14454648,14538544,14723531,14750387,14884547,15125531,15226226,15285827,15303584,15609933,15658405,15747780,16066888,16261479,16355862,16469212,16707441,16797632,16827196,16951547,16952786,16987300,17216532,17343467,17467946,17810666,18075249,18253096,18302507,18662531,18681190,18790086,18897336,19144365,19199627,19345778,19454147,19669286,19949896,20187731,20193578,20384760,20420656,20439131,20534733,20589587,20853789,21159976,21187796,21206186,21259503,21655137,21743744,21782867,21878378,22299131,22369150,22417428,22443633,22515772,22519307,22641347,22932855,22973238,23030531,23063365,23196565,23268885,23334088,23382386,23514131,23575336,23715026,23804973,23970587,24114131,24212906,24298696,24328907,24447947,24461712,24471731,24544106,24820144,24914605,25439987,25510307,25779925,25790867,26033692,26139947,26250849,26522253,26842980,26924531,26936349,27009746,27062027,27130667,27244907,27321217,27336033,27498986,27519426,27676038,27722531,27835878,27906856,27922662,27926147,28098980,28311506,28398731,28421147,28488347,28533107,28632512,29442986,29619731,29751467,29897526,30079547,30121485,30253787,30268280,30384131,30730307,30794987,30841413,30935910,30964717,31208821,31290357,31395213,31525586,31978696,31989131,32073467,32129584,32211576,32293372,32695336,32930531,32951267,32998304,33013427,33137950,33240731,33268778,33286484,33718776,33937187,34051815,34059131,34241507,34342547,34359196,34584227,34682066,34764731,34838378,35133861,35440787,35466673,35773226,35976033,36029627,36042369,36145782,36238023,36243731,36321936,36414652,36548306,36615189,36707507,36782253,36916197,36995027,37011626,37068265,37123092,37128587,37250425,37503037,37508027,37933096,37933623,38033867,38119612,38238731,38534987,38957267,39030310,39139547,39175907,39303565,39411467,39519731,39612626,39669765,39765540,39771227,39896387,39996397,40066888,40141400,40216427,40218578,40322531,40537875,40674131,40691627,40778987,40862178,40887777,41522027,41556227,41826025,41873066,41879531,42115907,42132731,42233507,42314416,42384131,42416576,42484187,42517405,42567347,42674733,42855196,43029347,43191292,43213778,43240400,43362026,43468907,43569429,43745685,43911637,43953578,44077667,44093531,44172731,44197852,44235310,44481918,44542826,44584030,44658565,44700510,44705987,44716161,44737067,44969147,45030731,45075249,45102165,45159075,45245267,45260531,45276146,45391285,45731656,45879467,46005866,46028387,46294427,46601531,46662064,46836372,46890731,46907176,47019827,47021426,47164278,47364213,47403227,47445467,47529731,47534332,47552120,47603718,47680544,47718648,47822387,48001787,48108976,48169680,48259375,48275147,48315688,48356531,48538497,48645450,48675925,48679187,48759131,48838787,48888746,48970907,49232747,49253416,49478531,50123987,50191230,50223347,50308586,50481731,50784731,50964131,51020886,51212267,51293906,51305867,51380992,51448113,51560627,51617987,51636805,51826888,51834131,51853778,51868365,51888480,51991547,52143805,52158467,52169531,52389131,52400027,52494822,52551731,52755107,52770573,52812796,52871531,53082372,53122187,53218365,53225267,53233525,53286731,53346566,53378387,53381546,53439131,53496135,53500836,53517457,53537312,53590278,53640612,53683479,53795186,53926696,53932778,53934131,54122598,54190890,54355149,54362531,54399827,54469542,54510947,54828467,54908531,54943907,55179347,55326256,55347712,55410093,55425731,55436786,55475867,55500827,55680117,55681667,55874531,55992731,56039507,56101427,56114666,56147950,56223731,56261531,56329067,56381147,56766256,56788946,56832227,56858557,56907731,56934947,56968787,57062544,57115307,57137710,57245147,57325778,57414856,57482005,57495227,57549731,57603587,57668531,57720947,57783925,57789827,57803616,57806867,57911250,57924131,58067877,58106507,58214531,58305249,58374540,58411110,58485347,58525226,58544627,58571531,58611347,58663427,58722731,58820747,58868027,58902731,58925507,58992107,59017307,59024485,59066531,59069987,59186546,59195387,59226467,59277467,59331731,59385731,59447941,59474867,59504507,59567747,59577587,59623787,59628892,59632427,59644187,59668067,59734667,59738027,59739131,59767667,59777507,59780531,59784827,59793731,59794307,59805731,59814707,60229476,60667533,60739150,61233052,61408106,61548609,61656933,61772000,61795826,61964166,62242038,62266176,62305184,62504776,62572566,62624193,62730910,62913085,63078866,63193300,63206378,63210837,63466678,63685875,63767361,63797950,63862038,63880230,63967053,63968426,64102396,64195362,64419772,64591713,65029068,65726378,65850866,65870077,66795685,66948412,66992965,67377540,67786238,67931600,68022088,68067026,68137405,68138912,68325829,68565252,68978406,69128425,69145852,69340710,69493500,69544916,69714501,69921313,69997778,70049448,70093332,70317873,70474706,70538536,70670085,70829382,70931013,71303786,71869376,72824786,72886980,72963865,73189372,73403306,73454605,73502536,73633706,73963424,74001805,74092778,74126400,74207186,74491150,74731612,74866888,75277092,75381424,75495702,75539113,75831960,75913525,76002088,76209380,76423050,76453510,76465106,76524849,76557540,76656276,77013237,77020586,77352146,77493685,77576469,77746112,77794492,78556778,78805629,78806917,78930141,79068160,79355853,79360897,79433655,79826005,79991565,80154822,80391558,80702378,80752456,80853048,80887424,81124586,81226510,81318885,81334826,81431932,81517920,81625300,81654088,81661376,81764886,82117150,82690353,82954110,83011773,83208852,83392200,83679016,83981653,84068005,84217706,84225249,84246657,84318578,84419306,84720626,84729232,84804102,84864621,84925630,85310955,85324336,85325692,85502349,85920412,86403626,86429217,86434117,86617365,86696306,86740144,86952085,86952448,87042376,87211029,87464376,87556638,87561253,87960993,88140266,88145526,88484384,88802166,88863385,88894437,88951680,89144485,89178578,89364205,89389380,90278804,90474866,90846513,90930986,90959679,90998352,91096230,91451256,91512796,91682425,91707660,91743757,91744212,91860849,91869048,92007398,92010986,92391856,92807378,92992422,93816225,94100110,94138893,94563875,94589581,94700749,94834216,94881792,95320386,95348672,95377778,95389465,95462276,95566972,95710405,95791206,95876306,95962885,95989878,96141532,96202689,96383176,96695666,96918493,97019378,97046056,97071037,97169312,97192173,97287196,97339150,97340786,97471812,97500626,97572892,97582662,97809805,97821504,97874605,97922673,97950360,98212778,98397423,98540580,98603378,98913266,99349880,99350797,99544932,99753578,99787965,99848092,99887590,...,1089404925682849894758454150990222195781260200119608151746010504600142810710992943740747498188806093670832158917901201695195111979324634400931713113584555797894989735369642202562283392890757576507891065637055330817710473996900794115679349589863008433591677641736145724960304181506336317814038567909170402842939151197168228163064200592996896342364535285675243285338320520538274327970790836273862697277463656844295486492590181445523255356086429171134063607511694093404865614383193938851258804854126318129796914781766897656566391099588818118919955410191092846951075777580209631696206150569828058303191817659007481094394545411119063885169950885381670732152771375068856299307644955542185355182886753482324695305776854080690774010950612791922836542057835857068243051140932721251964513197625650480048671717109901425135229114075012939652788994251270038428328163416336566977055157319166612028056023094500470208967073700644227171024146007493436814765262850214297044713643069265679348669563751146785349237398025218022775599518202538341080787520772728136761874985304624709803735887370043949954711012673950708422375601879133383767007635631388248133950226733356105507668237098404340944396218867200238342110875250906137128603635261155597357595328361711794581978602645009743970689920206902039671525441614409339395152002348729626459929078818921426303916787775946507097253694936742156262202558008901518597418353423740201150331179977298241217468178013003418482665774656239601331838702288064289491608068548898119350592361359915727035472132246148772180360791699778840274848986499926049597982905519713931856948274570479508730687270724615806526329045947732291402537316091713173781952415786571732688400202607356414957406657556845792449065383129176110522041815068896039918442447455499244980953463383391019279027836712328626940863208827442735770906698769714334512355757699284428441215823917552011039412660306438828734152299681971142062094844774142556392717375421831098698541115830527940170416781078334482155088614008156514729804035812357392367683701184038634561490333186348090915382506522088838008720607690316359798500150234105027997034382542612562690585913903087532091049782462333980036780376164905270905122462194267649066407193642435309750309875856005410821294001198322746886915302864460619926660992686161264597542179503481619185010866096997508325002205169901494563808841651351393795462521081911131236788134726828264105136210654399030891622641546330940755244083050956995313562122573521}
15469  2151010126877295121579315905694175995516322986023186255031706548: {30934,231915,247376,278298,1004315,1065567,1189727,1205178,1699610,2039532,2053919,2450667,2485679,2609867,2853995,2934170,3028396,3226751,3412019,3424794,3521004,3550970,3675434,3830367,4105659,4261164,4326280,4416698,4867065,4930239,5191536,5250620,5260607,5617715,5774186,5794125,5815979,5840478,6180400,6300219,6300744,6576227,6741258,6741599,6952950,7088337,7416480,7474412,7649327,7664799,7910912,7910915,8209119,8213548,8343540,8506799,8615867,8899776,9023979,9394610,9493098,9577379,9842426,10012248,10141754,10436764,10647867,10835339,10860227,10917759,10927610,11073839,11242504,11263779,11273532,11343167,11561315,11733640,12015995,12063914,12141059,12152570,12647817,12721226,13113132,13200345,13337067,13390636,13681970,13873578,14058527,14080368,14406699,14419194,14488220,14580698,14583084,14598467,14697928,14736515,15056925,15514610,15792179,15819770,15840414,15960467,15971459,16060720,16270239,16390187,16418364,16430258,16535169,16587467,16993715,17253311,17330367,17344370,17385864,17456159,17594859,17662216,17664947,17683818,17836665,17868074,18068310,18173180,18403451,18514979,18617532,18983724,19025776,19129480,19272864,19367699,19389554,19559097,19582559,19684725,19869993,20083610,20227899,20392458,20417327,20586515,20628419,20645939,20813244,20997040,21033995,21222578,21234125,21261359,21327899,21350459,21403998,21417407,21520665,21681972,21717626,21807816,21978938,22276588,22424687,22816370,22839339,22955376,23348147,23422751,23621670,24100332,24418499,24533793,24703818,24705098,24937370,25053448,25196448,25240794,25308179,25424927,25429179,25480950,25525820,25811267,25824798,25975451,26201919,26449970,26484745,26715999,26725226,26876099,27179680,27283139,27379644,27506186,27805052,27981359,28021785,28071098,28113386,28144715,28185129,28346004,28397018,28443167,28608419,28873516,29018667,29077907,29167610,29454731,29469170,29503929,29649659,29869739,29889904,29924844,30290367,30373370,30416507,30463178,30577140,30630984,30874346,31025180,31225259,31739964,31781694,31809279,32542115,32615616,32776106,32817567,33050546,33191459,33192419,33401951,33553725,33559259,33626142,33773658,34243619,34459857,34883570,35001132,35035067,35042474,35058527,35073579,35123725,35192051,35363004,35549579,35572539,35790640,35915132,36131546,36184619,36319359,36448044,36692568,36816159,36901384,37025114,37114504,37230216,37523258,37614191,37835350,38128991,38165714,38294867,39050538,39078299,39859739,39863368,39973370,40015199,40161980,40264470,40340267,40353347,40366715,40514619,40829306,40869170,41043779,41121884,41247880,41248479,41279139,41484659,41487146,41514057,41608105,41720476,41753817,41860284,41883993,41955866,42095354,42148470,42196667,42276227,42347891,42365819,42467259,42829226,42948768,42948995,43096739,43164698,43892831,44039987,44160467,44164479,44249279,44746799,44846289,44958368,45272447,45330779,45348527,45402420,45518315,46171466,46403865,46482386,46845148,46988867,47136779,47185859,47279219,47288379,47343839,47391914,47416370,47649515,47968044,48056492,48194376,48317364,48410474,48429248,48440058,48461291,48820252,48936479,49043004,49221596,49497456,49670474,49706925,49715411,49903167,49929726,50064779,50083610,50176346,50176750,50208218,50215499,50237999,50548538,50578164,50779859,50852927,51538794,51796691,51936671,51944138,51944867,52023099,52257567,52510091,52662419,52708466,52842746,52893020,53020720,53108939,53502074,53568995,53659839,53989115,54050500,54218673,54240458,54403826,54482904,54504299,54517036,54621978,54669467,54691679,54822459,55208579,55241051,55247315,55374911,55517439,55684638,55821467,56053547,56171786,56249066,56397779,56899644,57164570,57179418,57291947,58092572,58327580,58418819,58545465,58633970,58648298,59309224,59417915,59418939,59440150,59519327,59600680,59621548,59648310,60100332,60136220,60160826,60212100,60308594,60327867,60394610,60459659,60922367,60971387,61293267,61566770,61721219,62153834,62161727,62387819,62448496,62809599,62885704,63152284,63471624,63624864,63937259,64048739,64226240,64282794,64314719,64516799,64717996,64783610,64786938,64806698,64820667,64860600,65043039,65508527,65771387,65923391,65930367,65958746,66015995,66132506,66296778,66352965,66376154,66501827,66722877,66811058,66814239,66876045,66921640,66950531,67050765,67365659,67408370,67914219,67917914,68027848,68230826,68460611,68540459,68597484,69008799,69157820,69184640,69993096,70254558,70360764,70374938,70482719,70532139,70619891,70658399,70746417,70776496,70957820,71301498,71327954,71328180,71334448,71405577,71447327,71453704,71457791,71520816,71558447,71577972,71768570,72163464,72214379,72254520,72473532,72484031,72626056,72929567,72968175,73137467,73219139,73333119,73870451,73880124,74138078,74159279,74187419,74240156,74284379,74405867,74536115,74658794,74733098,74974139,75048467,75286845,75462879,75796058,75889439,75897626,76083392,76162079,76531329,76541315,76713626,76940859,77071488,77215000,77423836,77740332,77780667,77832720,77881480,78130970,78448499,78545066,78742233,78754979,78991625,79057967,79219194,79231538,79623558,79690538,79855499,80010986,80019849,80072319,80094491,80127995,80147939,80251254,80305968,80385417,80460918,80524715,80554619,80692779,80696186,80842874,80890044,80899167,81183897,81286335,81704313,82064812,82209244,82618888,82979939,82989384,83021568,83155179,83166851,83430088,83498924,83547839,83593667,83685515,84171999,84221925,84281116,84335279,84382346,84672191,84720554,84914500,84915299,85023148,85027610,85085867,85149384,85173640,85183419,85188959,85192106,85289404,85593816,85702019,85706565,85924271,85935146,85988667,86122284,86298098,86432315,86459867,86622938,86705424,86866875,86931145,87132011,87561810,87616665,87636299,87787839,87906698,87955811,88068506,88173170,88428539,88779819,89443338,89456351,89836720,89859314,89869754,89876666,90019739,90067499,90344214,91108725,91311419,91370399,91420336,91486715,91849578,91878170,91971208,92087339,92112159,92276138,92454280,92658000,92693739,92781467,92791727,92939306,92946249,92952668,93020639,93076787,93135434,93363057,93399264,93414515,93457776,93505247,93555119,93583610,93757164,93858849,93965426,94096365,94226780,94306427,94439176,94467098,94508099,94574684,94579907,94618299,94768739,94789950,94809567,95002610,95144186,95200017,95261725,95696925,95793057,95820345,95952639,96153594,96293043,96464714,96629658,96909938,97026059,97115339,97182640,97243115,97543602,97672859,97879739,98299427,98408339,98589567,98776299,98835200,98904299,99091946,99160127,99449579,99599807,99629999,...,1452539900910466526344605534653629594375013600159477535661347339466857080947990591654329997585074791561109545223868268926926815972432845867908950818112741063859986313826189603416377857187676768677188087516073774423613965329201058820905799453150677911455570188981527633280405575341781757085384757212227203790585534929557637550752267457329195123152713714233657713784427360717699103961054448365150263036618209125727315323453575260697673808115238894845418143348925457873154152510925251801678406472168424173062553042355863542088521466118424158559940546921457129268101036773612842261608200759770744404255756878676641459192727214825418513559934513842227642870361833425141732410193274056247140243849004643099593741035805440921032014600817055897115389410447809424324068187910295002619350930167533973398228956146535233513638818766683919537051992335026717904437551221782089302740209758888816037408030792667293611956098267525636228032194676657915753020350466952396059618190759020905798226085001529047132316530700290697034132690936717788107716694363637515682499980406166279738314516493391933272948016898600944563167469172177845022676847508517664178600302311141474010224316131205787925861625156266984456147833667874849504804847014874129810127104482282392775971470193346325294253226942536052895367255485879119193536003131639501946572105091895235071889050367928676129671593248989541682936744011868691463224471231653601533774906636397654956624237350671224643554366208319468442451603050752385988810758065197492467456481813220969380629509661531696240481055599705120366465315333234732797310540692951909142597699427306011640916360966154408701772061263643055203383088122284231709269887715428976917866936809808553276542210075794389932087177505568147362722420091861386557923263273998993307937951177854692372037115616438169254484278436590314361208931692952446016474343599045904588287765223402681385883547075251771645536399575961522749459793032190075190289833895774798264721487774037253560555708104445976206784818677542019639738714416476523156911601578718179415320444248464121220510008696118450678294143587088479731333533645473370662712510056816750254114551870783376121399709949778640049040501553207027873496616259023532088542924856580413000413167808007214428392001597763662515887070485947493235547990248215019463389572671308825580014488129330011100002940226535326085078455535135191727283361442548174982384179635771018806848280872532041188830188728441254340325444067942660418082830098028}
15470  2160592485235693305433117472915756834359548366571251982995097292: {46401,216454,293569,309220,371064,417447,478609,525334,663361,895462,1215889,1265014,1420756,1491181,1606904,1674349,1807767,2063734,2131009,2313169,2404141,2495041,2549415,2719376,2767309,2948461,3038929,3059298,3219649,3267556,3287254,3348262,3490189,3785495,4118929,4200694,4208461,4261462,4297921,4401255,4542594,4565062,4566392,4694672,5011009,5107156,5137191,5277229,5281506,5326455,5407850,5473462,5474212,5513151,5533894,5681552,5719489,5835814,5983981,6016774,6077062,6159949,6391746,6489420,6563275,6573652,6598609,6625047,6860941,6919414,6922048,7296721,7339414,7638934,7725500,7787304,7817281,7875930,8076589,8162881,8177062,8400292,8400992,8535094,8661279,8760717,8936269,8988344,9192769,9270600,9308854,9343015,9451116,9533761,9837191,9888640,9958381,10020694,10111887,10198294,10212289,10219732,10266935,10429425,10493974,10802221,10886209,10945492,11084134,11124720,11137741,11211618,11555521,11866368,12031972,12320322,12515310,12657464,12798061,12860687,13045955,13208641,13349664,13372369,13617421,14024401,14053130,14091915,14197156,14239647,14348689,14557012,14591149,14667050,14752429,14763639,14913421,14939062,14993809,15018372,15031376,15154369,15212631,15314641,15394669,15454439,15574774,15655146,16111681,16190989,16391415,16647554,16738295,16863756,16910298,17012374,17184214,17484176,17600460,17762029,17782756,17813062,17870134,18095871,18110275,18228855,18326134,18372410,18382381,18498104,18690829,18767761,18773824,19008214,19081839,19178374,19208932,19225592,19444112,19669698,19685329,20075900,20085954,20442049,20522955,20592529,20703334,20810367,20928262,21120552,21433414,21563629,21628791,21693652,21732330,21786001,21871047,21874626,21891152,21921767,22046892,22077770,22104934,22155181,22607062,22716475,22961041,23107156,23181152,23271915,23459812,23578424,23729655,23760621,23773654,23782220,23902189,23911850,23974081,24091080,24117649,24271462,24332461,24403921,24475309,24547462,24617869,24627546,24645387,24823376,25311632,25467181,25537489,25592614,25697152,26016555,26078796,26153666,26167021,26246300,26413654,26493324,26522854,26525727,26741062,26802111,26859661,26970532,27102465,27189944,27259770,27271789,27545101,27750992,27845735,27926298,27952909,28425409,28475586,28538664,28559761,28694220,28760749,28909296,28961089,29077088,29084331,29227201,29426029,29447062,29500774,29755969,29769094,30125415,30149521,30214861,30251062,30410449,30452452,30571654,30588687,30607168,31057729,31122061,31219866,31316810,31495560,31761421,31833867,31907275,32078401,32105997,32133776,32288711,32456401,32475191,32522958,32576439,32711724,32938424,32956369,32968407,33414882,33595264,33636301,33654392,33903094,33905572,33942481,33974600,34186129,34224555,34368109,34433064,34549441,34609741,34686934,34756315,34790209,34880447,34935892,34970029,35149201,35432505,35621332,35800621,35976769,36035341,36091895,36150498,36327121,36506192,36605014,36617101,36962701,37055727,37057647,37325062,37362380,37406055,37580172,37589569,37759021,37794672,37861191,37871629,37983949,38151889,38221425,38288730,38399254,38691556,38737197,38781475,38908294,38981869,39091309,39338572,39417901,39526189,39674955,39795649,39899792,40087839,40223041,40276141,40375462,40387156,40698349,40769520,40803181,40841312,40878262,41069466,41179174,41259279,41323021,41580241,41707578,41886529,41915159,41988049,42038701,42106647,42139789,42170079,42290881,42319952,42375592,42412372,42519006,42591121,42595527,42789841,42987409,43036621,43085761,43310274,43476289,43487488,43565734,43751415,43756756,43766161,43862209,44101069,44203755,44290861,44321771,44598262,44738300,44760301,44834856,44887266,44893915,44946061,45031544,45038614,45268369,45282694,45450961,45560055,45632401,45694767,45865710,45902401,45946476,46061062,46080961,46126730,46311519,46393130,46537770,46668176,46764772,46999501,47028262,47042449,47150672,47430052,47467969,47552209,47609946,47672541,47844781,47941174,48010381,48228262,48297409,48419341,48425812,48597392,48657814,48860881,48895894,48923424,48943462,49088212,49164159,49254721,49448941,49575819,49640288,49755949,49794001,49829210,50020801,50202475,50245009,50439213,50660487,50879974,50973649,51020614,51115921,51292141,51397009,51402355,51559850,51581734,51810001,51895571,52067384,52112941,52150595,52179469,52279894,52311661,52325355,52410049,52501698,52563711,52892269,52955341,53044506,53235601,53388781,53540161,53685960,53849062,53872698,54019492,54124054,54197319,54261334,54489814,54521809,54642434,54672066,54848401,54928429,54997972,55024991,55038852,55112641,55138669,55352076,55445062,55445389,55495501,55520449,55537671,55619521,55644109,55671756,55693069,55813712,55838221,55845324,55852294,55886029,56051089,56166829,56189761,56197960,56235409,56280769,56284887,56303341,56348269,56546881,56623012,56753025,56797462,56842294,56844241,56947021,56976694,57048001,57066214,57067981,57087889,57225229,57248571,57263821,57265024,57321169,57562189,57686929,57875821,57892561,57942349,57958801,57991489,58103629,58119361,58227469,58375789,58418881,58489261,58556435,58557841,58575807,58740289,58777549,58826221,58885441,58885972,58920109,58942861,58998481,59009389,59030989,59083729,59144641,59212429,59239462,59328961,59345809,59498449,59502934,59518861,59524367,59551441,59582221,59648749,59696269,59725249,59729101,59754049,59763661,59778241,59791021,59795052,59809489,59812801,59827309,59829901,59960055,60070615,60159094,60242970,60396705,60507574,60536560,60768262,61025315,61243959,61303755,61460614,61526995,61589974,61682826,61871820,61929434,62230719,62417642,62521991,62580714,62790426,62933799,63051172,63143031,63222705,63547799,63957392,63978262,64146934,64243839,64259168,64423152,64586744,64747047,65390672,65861062,65902534,65996608,66026854,66116275,66275900,66481462,66537556,66572968,67437552,67563125,67874374,68103630,68118262,68146295,68483014,68685094,68718392,69168454,69257199,69364132,69529462,69676756,69723579,70267722,70881574,70933346,71087871,71124555,71546452,71952066,72059254,72084738,72291527,72291564,72476046,72487462,72615711,72615715,72643872,72660087,72829304,72909475,73001327,73096612,73230378,73415014,73564506,73832394,73990054,74023252,74136530,74246184,74257174,74500850,74505711,74526935,74894589,75006074,75016054,75125415,75170275,75264519,75265125,75312327,75822807,75866192,75867246,76067734,76239224,76477462,77069974,77308191,77914534,77916207,78060620,78279094,78351814,78607130,78822934,78940355,79039462,79062699,79225252,79264119,79339530,79531080,79542454,79792774,79992794,80133776,80253111,80282800,80432854,80437156,80474807,80645062,80748707,80897495,81075750,81348262,81360687,81383254,81557974,81605739,81724356,81775554,81932967,82634279,83044054,83112454,83526957,83584699,83652050,83746132,83759062,84231814,84257679,84265462,84373599,84467014,84628832,84768262,84833152,84968374,85034810,85134694,85349466,85710392,85746855,85769127,86058694,86382584,86427556,86447275,86480800,86724052,86937814,87138858,87491370,87585487,87823274,87907156,87950955,87972447,88078319,88155334,88187062,88345462,88395704,88470620,88697275,88963836,89085652,89160225,89168060,89317130,89401020,89411974,89432322,89472465,89474134,89688247,89938294,90061462,90150498,90204330,90241239,90318150,90462891,90490534,90521062,90552292,90591915,90782570,91463312,91758934,92011732,92056774,92350155,92588854,92800195,93203062,93230751,93324128,93513959,93672744,93781462,93790151,93814352,94039654,94042852,94328556,94728426,94806454,94890934,95059462,95068664,95104240,95207436,95361088,95392367,95437296,95644774,96003574,96217952,96339360,96424191,96518750,96550294,96631376,96713062,96779795,97076994,97175415,97180407,97210047,97290900,97351850,97358374,97518262,97677574,97777492,97941814,98465494,98506832,98938119,98957062,99198759,99445167,99564231,...,2178809851365699789516908301980444391562520400239216303492021009200285621421985887481494996377612187341664317835802403390390223958649268801863426227169111595789979470739284405124566785781515153015782131274110661635420947993801588231358699179726016867183355283472291449920608363012672635628077135818340805685878302394336456326128401185993792684729070571350486570676641041076548655941581672547725394554927313688590972985180362891046510712172858342268127215023388186809731228766387877702517609708252636259593829563533795313132782199177636237839910820382185693902151555160419263392412301139656116606383635318014962188789090822238127770339901770763341464305542750137712598615289911084370710365773506964649390611553708161381548021901225583845673084115671714136486102281865442503929026395251300960097343434219802850270458228150025879305577988502540076856656326832673133954110314638333224056112046189000940417934147401288454342048292014986873629530525700428594089427286138531358697339127502293570698474796050436045551199036405076682161575041545456273523749970609249419607471774740087899909422025347901416844751203758266767534015271262776496267900453466712211015336474196808681888792437734400476684221750501812274257207270522311194715190656723423589163957205290019487941379840413804079343050883228818678790304004697459252919858157637842852607833575551893014194507389873484312524405116017803037194836706847480402300662359954596482434936356026006836965331549312479202663677404576128578983216137097796238701184722719831454070944264492297544360721583399557680549697972999852099195965811039427863713896549140959017461374541449231613052658091895464582805074632183426347563904831573143465376800405214712829914813315113691584898130766258352221044083630137792079836884894910998489961906926766782038558055673424657253881726417654885471541813397539428669024711515398568856882431647835104022078825320612877657468304599363942284124189689548285112785434750843662197397082231661055880340833562156668964310177228016313029459608071624714784735367402368077269122980666372696181830765013044177676017441215380632719597000300468210055994068765085225125381171827806175064182099564924667960073560752329810541810244924388535298132814387284870619500619751712010821642588002396645493773830605728921239853321985372322529195084359006963238370021732193995016650004410339802989127617683302702787590925042163822262473576269453656528210272421308798061783245283092661881510488166101913990627124245147042}
15471  2170217193190141679244511946912005380682868404054940874825356163: {61868,324681,386525,463830,494752,556596,788001,1343193,1406041,1775945,1897521,2008630,2131134,2379454,2410356,2887841,3095601,3399220,3813433,3995593,4079064,4084445,4107838,4588947,4901334,4930881,4971358,5022393,5219734,5707990,5868340,6056792,6217081,6301041,6383945,6392193,6453502,6813891,6824038,6842765,6847593,6849588,7042008,7101940,7350868,7660734,7864801,7922259,7968521,8111775,8210193,8211318,8217065,8300841,8522328,8652560,8753721,8833396,9025161,9115593,9587619,9656875,9734130,9860478,9995249,10379121,10383072,10500365,10501240,10521214,10742861,11009121,11075281,11235430,11458401,11548372,11588250,11631958,11680956,11813895,12265593,12360800,12600438,12601488,12774665,12802641,12962333,13152454,13405561,13482516,13483198,13681865,13876301,13905900,13963281,14039201,14176674,14832960,14948824,15031041,15039965,15297441,15298654,15329598,15740961,15821824,15821830,16185841,16418238,16427096,16626201,16648481,16687080,16817427,16822393,17013598,17063849,17231734,17746445,17799552,17838169,18047958,18196265,18311789,18480483,18567281,18772965,18789220,18986196,19154758,19370221,19684852,20024496,20283508,20631121,20873528,21079695,21295734,21670678,21720454,21749533,21835518,21855220,22000575,22089089,22147678,22228445,22408593,22485008,22527558,22547064,22686334,23074873,23122630,23362161,23467280,23482719,23791201,24011165,24031990,24127828,24282118,24305140,24487081,24971331,25094875,25110641,25295634,25311481,25365447,25442452,25518561,25776321,26226264,26320313,26400690,26674134,26719593,26781272,26805201,27117065,27363940,27489201,27558615,27681433,27747156,28117054,28160736,28512321,28767561,28813398,28821121,28838388,28883945,28976440,29091161,29161396,29166168,29196934,29324765,29395856,29447593,29473030,29504547,29643041,29727775,30037993,30047641,30113850,30128931,31029220,31055001,31392393,31439873,31584358,31639540,31680828,31920934,31929721,31942918,32080169,32121440,32150121,32540478,32598495,32780374,32807875,32811939,32836728,32860516,33070338,33074921,33116655,33157401,33174934,33414221,33713165,33910593,33967793,33987430,34506622,34660734,34688740,34696861,34771728,34912318,35189718,35324432,35329894,35367636,35660481,35673330,35736148,35867775,35946781,36136620,36346360,36407193,36806902,36821193,36941319,36969113,37029958,37078643,37235064,37619089,37967448,38036801,38051552,38065565,38258960,38388921,38545728,38735398,38779108,39026801,39118194,39165118,39230499,39369450,39402601,39475033,39620481,39739986,39784281,40111593,40167220,40441633,40455798,40784916,40834654,40889655,41173030,41256838,41291878,41490061,41626488,41889447,41994080,42067990,42381965,42445156,42468250,42522718,42655798,42700918,42713379,42807996,42834814,43041330,43363944,43399793,43435252,43615632,43669865,43957876,44170593,44251161,44255041,44526665,44553176,44653641,44710049,44849374,45376593,45558961,45632740,45678678,45857481,45910752,46696294,46702975,46829799,46845502,46975215,47243340,47350033,47674861,48027593,48200664,48364445,48784437,48836998,49067586,49173215,49407636,49410196,49558961,49874740,50106896,50122323,50233133,50392896,50481588,50483945,50616358,50849854,50854641,50858358,50961900,51051640,51622534,51649596,51803449,51824729,51950902,52030401,52140553,52403838,52429673,52516969,52899940,52969490,53015465,53431998,53450452,53503801,53752198,54225747,54359360,54566278,54695945,54759288,54907521,55012372,55610104,55922875,55954753,55962718,55987593,56043570,56142196,56226772,56289430,56370258,56513401,56692008,56794036,56886334,57113629,57216838,57433095,57598881,57747032,58037334,58155814,58251347,58335220,58362441,58426441,58455965,58660481,58760993,58909462,58938340,59007858,59287565,59299318,59633849,59739478,59779808,59849688,60128593,60287281,60532265,60563193,60580734,60746740,60833014,60926356,61101169,61154280,61261968,61317393,61360265,61604199,61748692,61768761,62050360,62450518,62561367,62862473,63477389,63479928,63519401,63563388,63618558,63725641,63778509,63945601,64965411,65084230,65231232,65348601,65552212,65635134,66101092,66245101,66382918,66384838,66709321,66803902,66897393,67107450,67118518,67252284,67330899,67524365,67547316,67557921,67924041,68487238,68747465,68798565,68919714,69091593,69190095,69589695,69767140,69806655,70002264,70070134,70084948,70117054,70147158,70247450,70384102,70542393,70726008,70778765,71099158,71145078,71414919,71567809,71581280,71800153,71830264,71911761,71927593,71999161,72263092,72306893,72342393,72369238,72481421,72638718,72896088,72986721,73177841,73343841,73385136,73415193,73607465,73632318,73802768,73880089,74050228,74229008,74460432,74743815,74983921,74996593,75046516,75066113,75228382,75516941,75584761,75670700,76257982,76319961,76331428,76530921,76589734,76604573,77194681,77273489,77339775,77346241,77372601,77729821,78101076,78156598,78419841,78752547,78813965,79230233,79566759,79719478,79726736,79946740,80030398,80323960,80528940,80680534,80706694,80733430,80773593,80809047,80847569,81029238,81186081,81392001,81573293,81658612,81734721,81738340,81963651,82008099,82087558,82170929,82243768,82495760,82496958,82558278,82757081,82844875,82969318,82974292,83028114,83167593,83171945,83185081,83216210,83440952,83507634,83710649,83720568,83767986,83778441,83911732,84190708,84296940,84393334,84552454,84695782,84731638,84934518,85196193,85263441,85465041,85599321,85615409,85618249,85658452,85897536,85897990,86193478,86329396,86705165,87095945,87785662,88079974,88320934,88328958,88344673,88498558,88744093,88859193,89116193,89254401,89433065,89493598,89692578,89916736,90031633,90238641,90364455,90544894,90607021,90621101,90661558,90697054,90761361,90804840,91036630,91152393,91370765,91382353,92099401,92190921,92257121,92342932,92384961,92422393,92524239,92529065,92807730,92894151,92964772,93202769,93626463,93690296,93871071,93977734,94021729,94185639,94273558,94371718,94558438,94576758,94687678,94783828,94832740,95095969,95299030,95568433,95936088,95967393,96112984,96173881,96220401,96388752,96634728,96820948,96858496,96880116,96922582,96977441,97575775,97640504,97872958,98086008,98432993,98443192,98791593,98853801,98994912,99031565,99040281,99193561,99340948,99413850,99430822,99480193,99722193,99806334,99859452,...,3268214777048549684275362452970666587343780600358824455238031513800428432132978831222242494566418281012496476753703605085585335937973903202795139340753667393684969206108926607686850178672272729523673196911165992453131421990702382347038048769589025300775032925208437174880912544519008953442115703727511208528817453591504684489192601778990689027093605857025729856014961561614822983912372508821588091832390970532886459477770544336569766068259287513402190822535082280214596843149581816553776414562378954389390744345300692969699173298766454356759866230573278540853227332740628895088618451709484174909575452977022443283183636233357191655509852656145012196458314125206568897922934866626556065548660260446974085917330562242072322032851838375768509626173507571204729153422798163755893539592876951440146015151329704275405687342225038818958366982753810115284984490249009700931165471957499836084168069283501410626901221101932681513072438022480310444295788550642891134140929207797038046008691253440356047712194075654068326798554607615023242362562318184410285624955913874129411207662110131849864133038021852125267126805637400151301022906894164744401850680200068316523004711295213022833188656601600715026332625752718411385810905783466792072785985085135383745935807935029231912069760620706119014576324843228018185456007046188879379787236456764278911750363327839521291761084810226468786607674026704555792255060271220603450993539931894723652404534039010255447997323968718803995516106864192868474824205646694358051777084079747181106416396738446316541082375099336520824546959499778148793948716559141795570844823711438526192061812173847419578987137843196874207611948275139521345857247359715198065200607822069244872219972670537377347196149387528331566125445206688119755327342366497734942860390150173057837083510136985880822589626482328207312720096309143003537067273097853285323647471752656033118237980919316486202456899045913426186284534322427669178152126265493296095623347491583820511250343235003446465265842024469544189412107437072177103051103552115903684470999559044272746147519566266514026161823070949079395500450702315083991103147627837688071757741709262596273149347387001940110341128494715812715367386582802947199221580927305929250929627568016232463882003594968240660745908593381859779982978058483793792626538510444857555032598290992524975006615509704483691426524954054181386387563245733393710364404180484792315408631963197092674867924638992822265732249152870985940686367720563}
15472  2179884436422403758661661099849537941563795303781376565053428176: {77335,92802,170071,432908,447847,587138,618440,695745,742128,834894,909367,957218,1050668,1093471,1326722,1369087,1735567,1790924,2431778,2530028,2646727,2841512,2982362,3012945,3196701,3213808,3348698,3569181,3615534,3640687,4127468,4249025,4262018,4626338,4715071,4808282,4990082,5098830,5299693,5438752,5534618,5867287,5896922,6077858,6118596,6161757,6307207,6439298,6535112,6574508,6696524,6980378,7335425,7352001,7457037,7529407,7570990,7789471,7829601,8237858,8401388,8416922,8522924,8561985,8595842,8802510,8823247,8877425,9085188,9130124,9132784,9188585,9389344,9506671,9680253,9761767,10022018,10214312,10236057,10274382,10354471,10554458,10563012,10607407,10652910,10815700,10946924,10948424,11026302,11041745,11067788,11362327,11363104,11438978,11491101,11671628,11967962,12033548,12154124,12277087,12316977,12319898,12783492,12854671,12978840,13080221,13126550,13147304,13197218,13250094,13265071,13510447,13721882,13836607,13838828,13844096,14242687,14373709,14435465,14593442,14601195,14678828,14790717,15129727,15277868,15290071,15451000,15574608,15634562,15751860,15781821,15849007,16153178,16325762,16354124,16483471,16800584,16801984,16853145,17070188,17322558,17382375,17426527,17447937,17504647,17521434,17872538,17976688,18264337,18385538,18541200,18617708,18667807,18686030,18900657,18902232,19067522,19674382,19728681,19777280,19916762,20041388,20193487,20223774,20224797,20396588,20424578,20439464,20533870,20549309,20858850,20987948,21265011,21604442,21690367,21772418,21838471,21890984,22168268,22249440,22275482,22354567,22423236,22947981,22994397,23111042,23433613,23486525,23520967,23665471,23732736,23732745,24063944,24606065,24627357,24640644,24882127,25030620,25314928,25354385,25520397,25596122,25721374,25847601,26091910,26356327,26417282,26633527,26699328,26744738,26978407,27071937,27234842,27319025,28048802,28106260,28183830,28394312,28479294,28541671,28697378,28732137,29114024,29182298,29334100,29342167,29504858,29527278,29672647,29826842,29878124,29987618,30036744,30062752,30159785,30308738,30381425,30393367,30425262,30629282,30789338,30847471,30908878,31149548,31310292,31617727,31803065,31943601,32223362,32381978,32506017,32580681,32753277,32753671,32782830,32940727,33221517,33251047,33295108,33476590,33727512,33791337,33820596,34024748,34029501,34110367,34204925,34368428,34683945,34775647,34968352,35200920,35491471,35524058,35565512,35626124,35668807,35740268,36047985,36080071,36191742,36220550,36423177,36451745,36457710,36487807,36652268,36744820,36764762,36996208,37121407,37381658,37406527,37535522,37547648,37943451,38016428,38163678,38356748,38417864,38451184,38786525,38888224,38984029,39188671,39297607,39339396,39351967,39370658,39460471,39549425,39601035,40011201,40151800,40171908,40371127,40424047,40687567,40792471,40884098,41045910,41075645,41185058,41406668,41570071,41620734,41825671,41856524,42175581,42180487,42230887,42241104,42866828,42933341,43127258,43220097,43223767,43257582,43321471,43360925,43387304,43464660,43572002,43742094,43749252,43782304,43795401,43843534,44093784,44155540,44209545,44209868,44310362,44670185,44752471,45170775,45214124,45306727,45432950,45805687,45895471,45922082,46214312,46251727,46362304,46428127,46472047,46543830,46919624,47156848,47376537,47420071,47459310,47521242,47546647,47547308,47564440,47756167,47804378,47823700,47881401,47914377,47948162,48182160,48235298,48473885,48542924,48658841,48664922,48807842,48810717,48950618,49042433,49094924,49170561,49235738,49255092,49290774,49328647,49522327,49536097,49605507,49646752,49762401,49904287,50209025,50463727,50528653,50573671,50623264,50827687,50934362,50981145,51074978,51185228,51394304,51637471,51759933,51991101,52033110,52044847,52157592,52211527,52307332,52334042,52368477,52409167,52492600,52571887,52784577,52796671,52827308,52986648,52994841,53045708,53051454,53056445,53266471,53482124,53509995,53604222,53719322,53720071,53808847,53926207,53941064,53955367,54071287,54204930,54294065,54299671,54356047,54379888,54519540,54543578,54947345,54983671,55090202,55210353,55448287,55501984,55544937,55573207,55691470,55852596,55905818,56031487,56262247,56284927,56616487,56765671,56850818,56870071,56951172,57013207,57040925,57077328,57119522,57172471,57269671,57388440,57521498,57675967,57693607,57780727,57815071,57818592,57922178,58103097,58154176,58168662,58250527,58369471,58454402,58672807,58677291,58747677,58749487,58811407,58852058,58894124,58929847,58952671,58975207,59001548,59054175,59083567,59145127,59241967,59260471,59365447,59445007,59452567,59511938,59538188,59588647,59609979,59612407,59695927,59753887,59800327,59824087,59837047,59838127,60250830,60299042,60429722,60502124,60683697,60820898,60904904,61143308,61177374,61214336,61251981,61759545,61762745,61885257,61937817,62115458,62244122,62343425,62439732,62633620,62851481,62991120,63101985,63522842,63667734,63702375,63784077,63814550,63983697,64051377,64156802,64211994,64252221,64267552,64561995,64577422,64912802,64950382,65045916,65152878,65423448,65876848,65912738,65936814,66124925,66813065,66829764,67190528,67272602,67274061,67308784,67806188,67811144,67884962,67949200,68372258,68449110,68518017,68736218,68765465,68866128,69004001,69098882,69219482,69373868,69512630,69580418,69760894,69871784,69940058,70044441,70177745,70268253,70283465,70298402,70865010,70992545,71242664,71601242,71953538,71963297,72070682,72183790,72300996,72654242,72919025,73010833,73012384,73210028,73234202,73255497,73601379,73672925,73925402,74111454,74115294,74650124,74724760,74812110,75160344,75179138,75518042,75589344,75722382,75743258,75924537,75933425,75967898,76157945,76274781,76287537,76303778,76442850,76577460,76798508,77185865,77383112,77433801,77474394,77562950,77816588,77926353,77963738,78182618,78605757,78677144,78835802,79052378,79349910,79454235,79591298,79799584,80147997,80175678,80446082,80552282,80628297,80750924,80774312,81396698,81539040,81606362,81682624,81756524,81849417,81940265,81979009,82138932,82358348,82518558,82626365,82646042,83160482,83415156,83773058,83830318,83944077,83976098,84065355,84077402,84098861,84213294,84279578,84340158,84434145,84555387,84581762,84639904,84751184,84824744,85038012,85182242,85191054,85329501,85435441,85579682,85825257,85974818,86073242,86137793,86171522,86620548,86952578,86974976,87056001,87131468,87208925,87233721,87502830,87513512,87532322,87606185,87724418,88202138,88364193,88407510,88511787,88581722,88643542,88948977,89196524,89349161,89476600,89520602,89609217,89669712,89774532,89787830,89892122,90063088,90077228,90328865,90536738,90565388,90871101,90901922,91120110,91249521,91264802,91389534,91731420,91804802,91892952,92122124,92161922,92253460,92562785,92623038,92786260,93075540,93336352,93418193,93529544,93675777,93808145,93999002,94056524,94084898,94301344,94588375,94860104,94935938,95104418,95219892,95345082,95404813,95414285,95427837,95689562,95882348,96020762,96456524,96594818,96838682,96851624,97194784,97315628,97626345,97721762,97791788,97846848,97886924,98176424,98328318,98452701,98509442,98781917,98897882,99151638,99280576,99511898,99574377,99577257,99588002,99658420,99933425,...,4357619702731399579033816603960888783125040800478432606984042018400571242843971774962989992755224374683328635671604806780780447917298537603726852454338223191579958941478568810249133571563030306031564262548221323270841895987603176462717398359452033734366710566944582899841216726025345271256154271636681611371756604788672912652256802371987585369458141142700973141353282082153097311883163345095450789109854627377181945970360725782093021424345716684536254430046776373619462457532775755405035219416505272519187659127067590626265564398355272475679821640764371387804303110320838526784824602279312233212767270636029924377578181644476255540679803541526682928611085500275425197230579822168741420731547013929298781223107416322763096043802451167691346168231343428272972204563730885007858052790502601920194686868439605700540916456300051758611155977005080153713312653665346267908220629276666448112224092378001880835868294802576908684096584029973747259061051400857188178854572277062717394678255004587141396949592100872091102398072810153364323150083090912547047499941218498839214943549480175799818844050695802833689502407516533535068030542525552992535800906933424422030672948393617363777584875468800953368443501003624548514414541044622389430381313446847178327914410580038975882759680827608158686101766457637357580608009394918505839716315275685705215667151103786028389014779746968625048810232035606074389673413694960804601324719909192964869872712052013673930663098624958405327354809152257157966432274195592477402369445439662908141888528984595088721443166799115361099395945999704198391931622078855727427793098281918034922749082898463226105316183790929165610149264366852695127809663146286930753600810429425659829626630227383169796261532516704442088167260275584159673769789821996979923813853533564077116111346849314507763452835309770943083626795078857338049423030797137713764863295670208044157650641225755314936609198727884568248379379096570225570869501687324394794164463322111760681667124313337928620354456032626058919216143249429569470734804736154538245961332745392363661530026088355352034882430761265439194000600936420111988137530170450250762343655612350128364199129849335920147121504659621083620489848777070596265628774569741239001239503424021643285176004793290987547661211457842479706643970744645058390168718013926476740043464387990033300008820679605978255235366605405575181850084327644524947152538907313056420544842617596123566490566185323763020976332203827981254248490294084}
15473  2189594401421903356007260776403701573404993334804539315344088513: {15473,123736,139203,541135,649362,773050,880707,927660,989504,1113192,1252341,1313335,1435827,1576002,1869571,1990083,2238655,2486323,2686386,2812082,3162535,3227587,3412903,3551890,3647667,3795042,3906067,4017260,4262268,4461871,4473543,4758908,4820712,5023047,5159335,5423301,5718223,5775682,6191202,6393027,6798440,6939507,7212423,7485123,7605511,7626866,7648245,7991186,8158128,8160883,8168890,8215676,8218135,8301927,8370655,8845383,8937523,9116787,9177894,9417343,9579871,9658947,9802668,9861762,9942716,10044786,10334071,10439468,10470567,10501735,10653655,11266903,11356485,11412655,11415980,11503891,11736680,11812567,12006727,12020371,12113584,12356787,12434162,12602082,12625383,12767890,12784386,12893763,12907004,13116463,13203765,13367827,13519625,13627782,13648076,13683655,13685530,13695186,13699176,13834735,13856287,14084016,14203880,14589535,14700511,14701736,15033027,15041935,15050167,15192655,15321468,15411573,15508807,15729602,15831687,15844518,15937042,15979365,16223550,16420386,16422636,16434130,16539453,16591783,16601682,17044656,17066071,17158467,17298535,17305120,17401747,17507442,17666792,17884531,17951943,18050322,18231186,18348535,18479847,19078807,19090303,19097335,19154611,19175238,19205047,19313750,19468260,19574671,19689825,19720956,19795827,19875141,19990498,20166367,20442655,20582823,20651311,20751667,20758242,20766144,20885587,21000730,21002480,21042428,21055951,21337735,21485722,21691303,21890163,22018242,22091971,22150562,22470860,22916802,23096744,23176500,23263916,23272135,23361912,23451843,23627790,23655967,23705203,24229767,24488643,24531186,24721600,24845023,25051735,25098007,25200876,25202976,25326991,25474771,25495735,25549330,25605282,25817983,25872271,25924666,25983837,26105287,26234935,26282151,26304908,26808807,26811122,26965032,26966396,27212527,27363730,27431107,27578307,27710335,27752602,27811800,27919831,27926562,28029045,28078402,28135507,28353348,28601283,29094967,29511573,29665920,29875143,29877511,29897648,30062082,30079930,30166063,30335661,30594882,30597308,30636867,30659196,30800805,31089043,31119823,31288275,31443967,31481922,31643648,31643660,31653007,32084371,32371682,32406663,32416087,32658627,32836476,32854192,33095311,33252402,33296962,33374160,33410707,33413223,33567991,33615631,33634854,33644786,34027196,34127698,34380463,34463468,34666563,35044183,35132825,35492890,35599104,35655727,35676338,35677951,36095916,36392530,36623578,36667625,36960966,36973927,37134562,37187287,37347655,37545930,37578440,37912927,37963891,37972392,38294143,38309516,38371927,38394183,38582061,38740442,38772631,38936935,39088543,39137865,39369704,39518707,39625923,40048992,40117107,40437523,40567016,40833031,40852263,41054671,41262242,41618885,41747056,42073203,42159390,42275745,42530935,42591468,42718941,42960535,43046067,43341356,43405471,43440908,43499066,43671036,43710440,43773447,43970707,44001150,44178178,44257287,44290917,44295356,44456890,44532655,44675335,44715871,44740263,44817186,44952583,44956087,44970016,44981427,45055116,45094128,45372668,45463107,45637893,45815335,45931025,45943923,45969487,46122583,46149746,46156147,46184007,46245260,46363317,46487911,46724322,46891027,46934560,46965438,47198431,47520535,47582402,47945935,48022330,48033847,48063980,48251263,48255656,48335043,48365491,48505651,48564236,48572967,48610280,48974162,49174245,49655647,49942662,50077903,50189750,50214885,50221282,50239687,50591268,50622962,50730894,50884904,51037122,51102391,51552642,51758335,52158007,52232647,52320655,52452528,52640626,52801380,53133427,53286087,53291791,53348268,53439186,53562544,53583535,53610402,53697487,54234130,54287613,54330825,54686565,54727880,54978402,55091971,55117230,55147143,55194425,55262335,55362866,55389427,55494312,56072487,56234108,56303283,56321472,56517655,57024642,57245517,57310963,57535122,57626796,57642242,57676776,57748303,57758287,57767890,57952880,58174087,58182322,58322792,58332336,58393868,58649530,58791712,58895186,58946060,59009094,59055987,59278711,59286082,59334751,59434135,59455550,59779625,60075986,60095282,60227700,60257862,60678655,60687511,60787183,60814711,61137811,61247407,61326147,61368655,61568865,61777587,61826671,62058440,62110002,62337331,62431101,62784786,62870707,62879746,62881027,63168716,63279080,63361656,63485671,63564847,63841868,63859442,63885836,63981535,64160338,64242880,64300242,64497367,64690887,64734367,64886373,65080956,65196990,65358003,65384165,65560748,65613141,65615750,65623878,65673456,65674051,65721032,65765301,66034135,66140676,66149842,66233310,66307135,66314802,66349868,66404431,66434071,66465543,66573847,66828442,66852655,67032787,67426330,67710223,67723447,67821186,67927903,67935586,67974860,68149425,68842501,68883123,69013244,69321468,69326023,69377480,69393722,69450151,69543456,69601711,69815745,69824636,69884911,70379436,70476367,70648864,70659788,70677523,70735272,70972927,71188965,71261971,71281863,71320962,71346660,71472296,71706567,71735550,71893562,71922243,72273240,72316327,72352947,72692720,72814386,72997303,72997383,73211763,73425927,73613804,73617655,73642386,73751935,73853607,73882638,73936161,73938226,73986511,74059916,74149207,74157286,74221651,74422735,74470128,75068383,75075907,75238178,75627655,75934896,76073602,76103104,76131130,76401543,76429135,76517920,76574323,76612467,76614607,76777842,77039251,77091456,77283571,77470796,77550631,77558216,77610727,78049665,78053602,78099283,78236388,78292025,78330236,78460998,78501063,78738900,78805202,78945427,78950066,79062631,79240962,79450207,79479972,79568562,79577181,80115487,80223186,80334440,80406333,80578983,80883266,80911596,81008647,81307395,81327343,81547903,81569832,81584071,81669308,81779310,81815367,81838351,81887647,82002607,82346060,82513676,82583756,82635303,82980122,83002591,83252976,83537205,83778894,83858727,83988160,84135980,84277231,84401287,84694387,84745171,84757735,84763930,84890312,84936500,85045436,85276227,85311596,85401836,85426758,85615992,85669628,85679283,85904371,85944067,86082660,86179267,86282247,86482903,86717335,86727888,86799586,86840023,86870504,86883267,87231264,87252993,87339730,87681603,87743827,87915752,88278087,88341186,88502322,88510082,89053330,89106352,89267907,89307282,89420098,89629831,89698748,89805823,90274867,90376245,90448563,90644583,90753186,91117922,91170151,91231347,91250167,91265480,91319731,91357356,91512535,91673623,91714962,91766061,91821504,91866163,93173187,93210727,93312655,93366183,93392588,93405950,93530371,93659598,93691004,93950430,94347151,94486680,94534111,94700066,95284263,95349722,95501601,95547127,95641303,95721825,95998135,96055186,96235203,96246451,96317991,96401328,96633091,96667183,96728890,96762847,96866133,96990487,97141111,97270735,97369203,97425573,97568874,97673996,97698463,97729317,97803823,98135172,98140303,98346430,98445871,98815272,98820392,98869107,98905221,98930767,99090271,99117922,99600451,99749480,99869971,...,6536429554097099368550724905941333174687561200717648910476063027600856864265957662444484989132836562024992953507407210171170671875947806405590278681507334787369938412217853215373700357344545459047346393822331984906262843981404764694076097539178050601550065850416874349761825089038017906884231407455022417057634907183009368978385203557981378054187211714051459712029923123229645967824745017643176183664781941065772918955541088673139532136518575026804381645070164560429193686299163633107552829124757908778781488690601385939398346597532908713519732461146557081706454665481257790177236903418968349819150905954044886566367272466714383311019705312290024392916628250413137795845869733253112131097320520893948171834661124484144644065703676751537019252347015142409458306845596327511787079185753902880292030302659408550811374684450077637916733965507620230569968980498019401862330943914999672168336138567002821253802442203865363026144876044960620888591577101285782268281858415594076092017382506880712095424388151308136653597109215230046484725124636368820571249911827748258822415324220263699728266076043704250534253611274800302602045813788329488803701360400136633046009422590426045666377313203201430052665251505436822771621811566933584145571970170270767491871615870058463824139521241412238029152649686456036370912014092377758759574472913528557823500726655679042583522169620452937573215348053409111584510120542441206901987079863789447304809068078020510895994647937437607991032213728385736949648411293388716103554168159494362212832793476892633082164750198673041649093918999556297587897433118283591141689647422877052384123624347694839157974275686393748415223896550279042691714494719430396130401215644138489744439945341074754694392298775056663132250890413376239510654684732995469885720780300346115674167020273971761645179252964656414625440192618286007074134546195706570647294943505312066236475961838632972404913798091826852372569068644855338356304252530986592191246694983167641022500686470006892930531684048939088378824214874144354206102207104231807368941999118088545492295039132533028052323646141898158791000901404630167982206295255675376143515483418525192546298694774003880220682256989431625430734773165605894398443161854611858501859255136032464927764007189936481321491817186763719559965956116967587585253077020889715110065196581985049950013231019408967382853049908108362772775126491466787420728808360969584630817263926394185349735849277985644531464498305741971881372735441126}
15474  2199347275489209752831984556152827246448812990957883519281827707: {108269,154670,185604,200993,340142,355373,478733,725069,865816,895694,940193,974043,1124273,1159575,1174276,1236880,1277453,1391490,1484256,1491569,1552673,1669788,1735793,1818734,1914436,2101336,2186942,2364003,2556269,2653444,2738174,3009569,3220493,3471134,3551153,3581848,3671153,3910769,4029579,4218123,4269233,4745393,4863556,5021575,5060056,5101169,5293454,5327835,5337713,5544269,5632673,5683024,5692563,5779853,5948635,5964724,5985569,6025890,6044273,6337313,6393402,6427616,6658733,6697396,6862769,6920993,7138362,7231068,7281374,7356653,7819373,8254936,8498050,8524036,8595569,8663523,8738669,9024269,9252676,9286803,9365933,9430142,9536333,9593069,9616564,9678113,9791393,9980164,10017569,10197660,10215053,10269595,10599386,10721069,10805153,10877504,10945133,11056973,11069236,11140769,11196593,11440299,11734574,11793844,11986779,12030113,12155716,12237192,12253335,12323514,12428395,12471713,12614414,12856433,12864019,12878596,12883853,13049335,13070224,13149016,13266893,13393048,13621169,13675553,13766841,13960756,14082413,14269975,14648993,14670850,14704002,14792643,14914074,15058814,15067179,15141980,15158573,15318893,15458443,15578942,15638669,15659202,16133755,16475716,16485773,16512113,16748813,16802776,16833844,16880033,17037233,17045848,17060095,17123970,17191684,17428973,17533133,17605020,17646494,17754850,18129569,18170376,18260248,18265568,18377170,18387569,18439073,18651243,18696113,18778688,18903123,19013342,19151835,19176579,19284269,19360506,19523534,19994573,20044036,20209651,20428624,20441673,20472114,20528295,20542779,20548764,20708942,21098093,21108916,21126024,21214814,21305820,21495533,21619313,21631400,21792269,21841613,21893848,21896848,22052604,22083490,22135576,22161569,22210673,22724654,22726208,22877956,22982202,23016269,23331233,23343256,23594403,23692973,23766777,23905563,23935924,24052913,24067096,24285547,24308248,24335325,24339569,24411053,24458669,24554174,24630579,24633954,24639796,24651195,24902523,25169069,25333793,25521569,25566984,25709342,25872269,25957680,26160442,26253100,26261163,26294608,26303035,26383373,26394436,26500188,26530142,26798669,26913569,27020894,27074093,27075483,27142769,27346779,27443764,27553313,27666893,27673214,27677656,27688192,28088575,28485374,28501169,28568333,28747418,28762857,28769393,28870930,28970625,29079895,29186884,29202390,29280269,29357656,29581434,29985747,30158669,30259454,30267569,30419693,30555736,30580142,30809069,30902000,31067213,31137363,31149216,31174433,31269124,31494893,31501095,31503720,31563642,31698014,31771169,31813553,32088269,32151473,32228583,32306356,32651524,32654513,32708248,32881135,32966573,32966942,33027363,33028769,33225843,33601168,33603968,33687713,33706290,33707995,33810353,34140376,34318253,34375203,34419233,34448491,34600493,34645116,34764750,34801133,34853054,34895874,35009294,35020913,35042868,35259569,35441685,35496139,35516813,35745076,35811953,35851169,35953376,36085793,36435569,36528674,36725069,36771076,36796779,37012769,37070093,37082400,37146413,37235416,37335614,37372060,37431473,37639373,37771169,37801314,37804464,37808753,37996193,38135044,38201453,38246635,38323995,38407923,38886999,39348764,39457362,39466913,39554560,39554575,39833524,39916013,40082776,40216683,40289393,40386974,40447548,40448333,40449594,40711793,40793176,40816673,40849156,40878928,41045595,41067740,41098618,41336753,41594093,41628269,41628903,41717700,41889843,41975896,42117603,42187553,42223699,42254753,42305069,42505613,42530022,42533995,42804269,43079335,43100333,43208884,43345073,43380734,43491053,43539569,43544836,43676942,43781968,44306033,44336536,44337569,44498880,44524291,44550964,44709134,44775713,44846472,44961569,44992433,45093123,45119895,45314573,45497069,45892323,45895962,45918413,45948269,45988794,46097069,46222084,46274573,46567853,46867226,46973050,47016113,47041934,47044769,47222883,47330942,47357873,47465472,47465490,47470769,47569133,47778593,47886895,48027569,48127888,48436769,48557523,48665453,49037069,49212130,49254714,49259633,49281288,49492769,49764254,49878603,49913453,49945443,49963853,50061240,50151713,50251169,50288333,50452281,50467179,50629856,50656013,50708770,50739403,50764913,50944973,51032443,51040794,51135053,51158669,51191547,51192244,51334769,51442748,51589793,51681569,51695202,52054733,52183820,52221473,52298669,52430093,52484513,52712654,52834564,53184113,53239335,53267054,53276813,53398656,53489476,53514507,53561069,53581133,53829233,53907569,53956814,54033773,54081953,54143874,54176695,54301135,54310433,54432269,54460193,54469684,54571169,54588795,54638050,54812131,54861473,54888269,54935367,55178273,55255853,55369195,55392173,55441449,55467953,55534769,55642253,55683233,55701843,55877153,56097604,56159393,56212520,56273933,56304173,56318895,56341793,56367660,56570573,56585069,56678513,56715835,56788624,56868269,56882093,56958588,56971169,56991533,57025313,57083342,57281933,57288353,57345773,57383693,57394756,57464274,57489569,57505903,57550769,57641069,57712013,57758669,57799073,57806575,57844769,57861773,57901169,57959239,58110663,58228048,58263473,58364596,58454573,58524833,58584269,58651169,58668200,58684334,58686113,58767053,58853153,58861169,58908593,58947233,58970033,59009716,59033069,59043953,59054556,59178893,59237069,59258993,59336993,59345294,59357069,59379533,59481713,59547569,59558669,59584493,59611169,59617133,59626913,59653684,59655053,59676269,59712173,59742833,59756248,59782769,59795633,59815373,59821169,59822753,59825069,59834273,59839853,59844269,59847713,59858033,59860769,59975236,60073488,60079975,60125504,60319570,60617476,60705295,60762850,60786734,60850524,61258564,61578676,61694942,61817756,61893363,62299096,62538259,62620584,63235454,63239085,63606130,63887202,64446724,64763956,65012034,65161362,65248599,65506554,65507342,65565660,65881454,66001725,66267267,66443034,66502094,66590216,66685335,66953180,67225779,67455024,67582674,67641192,67863439,68049496,68059002,68220734,68409850,68736856,69224619,69367890,69551294,69936704,70086483,70292635,70401840,70448157,70982942,71048116,71131024,71252248,71337614,71373603,71480536,72033495,72095970,72160142,72383484,72441100,72846354,72903490,72915420,72975614,72992335,73304536,73461243,73489640,73529524,73682575,73992416,74242814,74279023,74763316,74813054,74913993,75071044,75095296,75284625,75331923,75886902,75934443,76011691,76032856,76096341,76327356,76555683,76713496,76835728,76902368,76926283,77328963,77573050,77776448,77968058,78377342,78595214,78678792,78703934,78741316,78920942,78960895,78960939,79098850,79202070,79802335,79857295,80022402,80158779,80303600,80343816,80415603,80742254,80848094,81351195,81375134,81550183,81584942,81768196,81950935,82091820,82151290,82370116,82467603,82675845,82813336,82937335,83044299,83140142,83241468,83651342,83713048,84351162,84360974,84461774,84482208,84968575,85536963,85733656,85866682,86254516,86266555,86302683,86440194,86447534,86463363,86467843,86515164,86642942,86651835,86721850,86774608,86929320,87144004,87273483,87280795,87484188,87498504,87564608,87590802,87687068,87974295,88187568,88311080,88324735,88342779,88419090,88419736,88513641,88620724,88929123,89183325,89340370,89504942,90113979,90142923,90341550,90386793,90428248,90613454,90865900,91611374,91790942,91844164,92017255,92428624,92503454,92574895,92724608,92856254,92944094,93087660,93165003,93538291,93839248,94177179,94313696,94319619,94753074,94840142,94918620,95042484,95093294,95094616,95128880,95512334,95608756,95647400,95762802,95789163,95828754,95896324,96240507,96271651,96364320,96450363,96470596,96838495,96947770,97085848,97317682,97329844,97615684,97621434,97795485,97901236,97912795,98084866,98189848,98248843,98341122,98396851,98423625,98435817,98471476,98510184,98581548,98657294,99044654,99072194,99211014,99224763,99293504,99349965,99389563,99472203,99524802,99808574,99860827,...,9804644331145649052826087358911999762031341801076473365714094541401285296398936493666727483699254843037489430261110815256756007813921709608385418022261002181054907618326779823060550536016818188571019590733497977359394265972107147041114146308767075902325098775625311524642737633557026860326347111182533625586452360774514053467577805336972067081280817571077189568044884684844468951737117526464764275497172911598659378433311633009709298204777862540206572467605246840643790529448745449661329243687136863168172233035902078909097519896299363070279598691719835622559681998221886685265855355128452524728726358931067329849550908700071574966529557968435036589374942375619706693768804599879668196645980781340922257751991686726216966098555515127305528878520522713614187460268394491267680618778630854320438045453989112826217062026675116456875100948261430345854953470747029102793496415872499508252504207850504231880703663305798044539217314067440931332887365651928673402422787623391114138026073760321068143136582226962204980395663822845069727087686954553230856874867741622388233622986330395549592399114065556375801380416912200453903068720682494233205552040600204949569014133885639068499565969804802145078997877258155234157432717350400376218357955255406151237807423805087695736209281862118357043728974529684054556368021138566638139361709370292836735251089983518563875283254430679406359823022080113667376765180813661810352980619795684170957213602117030766343991971906156411986548320592578605424472616940083074155331252239241543319249190215338949623247125298009562473640878499334446381846149677425386712534471134315578576185436521542258736961413529590622622835844825418564037571742079145594195601823466207734616659918011612132041588448162584994698376335620064359265982027099493204828581170450519173511250530410957642467768879446984621938160288927429010611201819293559855970942415257968099354713942757949458607370697137740278558853602967283007534456378796479888286870042474751461533751029705010339395797526073408632568236322311216531309153310656347711053412998677132818238442558698799542078485469212847238186501352106945251973309442883513064215273225127787788819448042161005820331023385484147438146102159748408841597664742781917787752788882704048697391646010784904721982237725780145579339948934175451381377879615531334572665097794872977574925019846529113451074279574862162544159162689737200181131093212541454376946225895889591278024603773916978466797196747458612957822059103161689}
15475  2209143246739537791912497934616086686456708090869244874156685151: {30946,232005,247472,278406,510213,757589,1082270,1298724,1343541,1467845,1546100,1761414,1838669,1855320,1979008,2087235,2209493,2226384,2393045,2504682,2626670,2728101,2871654,3134117,3152004,3280413,3316805,3739142,3814421,3980166,4107261,4427549,4477310,4616261,4972646,4986797,5206701,5372772,5624164,6079445,6278789,6325070,6455174,6825806,7103780,7223069,7295334,7455905,7590084,7812134,7940181,8034520,8130029,8371745,8500277,8524536,8923742,8947086,9038835,9517816,9590103,9641424,10046094,10318670,10655045,10707543,10846602,10922061,11436446,11505389,11551364,11565845,11718917,12020705,12212993,12358973,12382404,12475205,12592421,12747075,12786054,13596880,13836545,13879014,14145213,14205893,14424846,14702429,14742305,14811893,14915117,14970246,15194645,15211022,15253732,15296490,15798341,15899079,15977717,15982372,16098245,16316256,16321766,16337780,16431352,16436270,16603854,16741310,17404013,17450945,17530349,17601861,17690766,17786561,17875046,18233574,18355788,18485271,18834686,18921621,18927475,19157117,19159742,19317894,19368629,19605336,19723524,19885432,20089572,20168993,20425349,20529533,20565701,20594645,20668142,20878936,20941134,21003470,21042305,21058709,21083969,21269717,21307310,21336221,21489605,21593573,22006275,22056003,22371111,22533806,22547681,22588221,22712970,22825310,22831960,23007782,23080877,23368413,23473360,23488803,23625134,24013454,24040742,24217949,24227168,24243221,24713574,24868324,25055045,25204164,25250766,25287413,25330289,25434893,25535780,25568772,25685955,25687949,25787526,25814008,26108693,26232926,26386145,26407530,26435189,26469741,26632275,26735654,26736269,26764949,27039250,27134333,27255564,27296152,27367310,27371060,27390372,27398352,27565755,27669470,27712574,27932741,28168032,28306637,28407760,28441697,28520013,28597445,28619717,29040759,29089253,29179070,29285301,29401022,29403472,29661281,29872829,29919905,30066054,30083870,30100334,30385310,30642936,30708171,30799745,30823146,31017614,31063413,31204517,31459204,31663374,31689036,31822221,31874084,31938029,31958730,32418581,32420333,32447100,32544641,32580989,32816375,32840772,32845272,32868260,32993045,33078906,33099629,33125235,33183566,33203364,33835973,34086981,34089312,34132142,34304705,34316934,34384961,34473303,34597070,34610240,34705889,34803494,35014884,35072429,35333584,35694029,35769062,35903886,36100644,36198797,36361781,36462372,36483605,36697070,36728909,36831261,36950931,36959694,36988877,37386173,37917893,38157614,38180606,38194670,38309222,38309921,38350476,38410094,38447873,38564013,38627500,38794469,38936520,39001301,39086405,39149342,39240663,39293069,39379650,39441912,39485381,39523853,39591654,39750282,39795213,39875357,39980996,40332734,40382945,40531341,40814405,40885310,41165646,41302622,41503334,41509821,41516484,41532288,41771174,42001460,42004960,42084856,42111902,42675470,42728061,42971444,43121127,43176737,43306395,43334117,43382606,43780326,43803585,44036484,44183942,44301124,44372151,44681345,44894357,44941720,45290333,45348641,45389181,45636917,45833604,45870213,45963845,45975473,46193488,46274789,46353000,46527832,46544270,46715075,46723824,46897133,46903686,47007329,47255580,47311934,47345463,47410406,47547021,47668805,48211901,48371789,48459534,48511997,48955661,48977286,49062372,49185955,49443200,49450413,49662113,49690046,49791905,50103470,50196014,50401752,50405952,50544257,50559435,50653982,50949542,50991470,51061445,51098660,51210564,51334675,51621197,51635966,51744542,51849332,51957077,51965381,51967674,52147125,52210574,52279581,52286717,52343811,52469870,52513941,52564302,52609816,53129921,53617614,53622244,53704493,53930064,53932792,54011105,54425054,54431045,54511709,54727460,54780581,54793011,54862214,55156614,55420670,55505204,55623600,55688705,55839662,55853124,55969421,56003421,56058090,56156804,56271014,56419877,56701971,56706696,56990837,57114437,57202566,57318461,57777605,58189934,58266439,59023146,59186043,59331840,59385281,59543309,59750286,59755022,59795296,60124164,60144749,60159860,60332126,60580461,60671322,60674391,60674597,60695429,61189764,61194616,61273734,61318392,61601610,61641281,61647927,61702517,61821857,61918373,62178086,62186093,62239646,62344049,62345717,62545469,62576550,62887934,62963844,63287296,63287320,63306014,63573173,63795033,63990305,64141469,64168742,64303435,64542221,64742813,64743364,64813326,64832174,65008829,65071101,65108693,65229775,65317254,65515413,65672952,65708384,66043205,66190622,66252677,66504804,66528749,66582533,66593924,66748320,66821414,66826446,66861845,67063701,67124309,67135982,67231262,67269708,67289572,67734701,67892141,68054392,68087105,68255396,68760926,68843943,68926936,68983191,69100397,69333126,69610817,69894029,69966509,70088366,70122005,70265650,70300839,70459575,70562901,70985780,70996413,71198208,71198235,71311454,71352676,71355902,71592653,71743445,72191832,72461669,72785060,72955745,73247156,73248917,73335250,73762145,73818195,73882071,73921932,73947854,73964573,74193029,74216717,74269124,74313941,74374574,74401829,74435021,74567105,74646381,74695310,74969045,75016949,75091860,75156880,75771845,75825854,75919421,75927782,75944784,76063155,76224161,76561191,76573205,76588286,76619032,76743854,76788366,76973345,77164122,77272195,77367269,77480884,77542803,77545262,77620757,77620853,77873870,78177086,78275730,78479237,78512993,78682757,78739408,79037414,79068981,79089029,79124717,79251846,79460573,79703549,79900581,80036801,80097984,80234214,80558405,80875046,80935221,80954945,81134032,81136397,81215811,81585221,81666062,81688241,81704526,81898373,81957075,82109342,82524484,83207789,83237770,83494112,83626421,83691475,84146406,84218693,84288257,84318780,84551490,84950117,85061870,85182936,85408469,85437882,85625013,85640693,85916117,85921070,86092134,86196411,86628209,86682712,86810942,86881816,86998132,87342072,87420880,87546894,87630881,87670637,87941414,88002300,88026501,88356356,88364117,88463201,88514574,88581834,88590712,88806773,88810145,88913780,89017941,89065310,89350670,89431742,89480526,89574149,89634372,89905166,89912174,89940032,89962854,90110232,90188256,90479355,90551375,90745336,90926214,91144275,91180101,91182197,91275786,91347197,91537831,91630670,91862050,91887846,91911905,91938974,92245166,92299492,92312294,92368014,92447789,92490520,92542413,92726634,92817821,92829989,92975822,93057101,93299141,93448644,93454145,93593717,93782054,93838805,93869120,93930876,94152749,94343393,94359509,94396862,94487789,94853181,95041070,95164804,95409195,95830803,95891870,96044660,96067694,96127960,96502526,96511312,96670086,96730982,97011302,97128472,97145934,97220560,97518051,97742043,97948324,98259831,98261013,98338049,98348490,98426645,98439317,98822181,99311294,99488561,99639053,99664551,99753141,99883037,99885324,99908789,...,13072859108194198737101449811882666349375122401435297820952126055201713728531915324888969978265673124049985907014814420342341343751895612811180557363014669574739876824435706430747400714689090918094692787644663969812525687962809529388152195078356101203100131700833748699523650178076035813768462814910044834115269814366018737956770407115962756108374423428102919424059846246459291935649490035286352367329563882131545837911082177346279064273037150053608763290140329120858387372598327266215105658249515817557562977381202771878796693195065817427039464922293114163412909330962515580354473806837936699638301811908089773132734544933428766622039410624580048785833256500826275591691739466506224262194641041787896343669322248968289288131407353503074038504694030284818916613691192655023574158371507805760584060605318817101622749368900155275833467931015240461139937960996038803724661887829999344336672277134005642507604884407730726052289752089921241777183154202571564536563716831188152184034765013761424190848776302616273307194218430460092969450249272737641142499823655496517644830648440527399456532152087408501068507222549600605204091627576658977607402720800273266092018845180852091332754626406402860105330503010873645543243623133867168291143940340541534983743231740116927648279042482824476058305299372912072741824028184755517519148945827057115647001453311358085167044339240905875146430696106818223169020241084882413803974159727578894609618136156041021791989295874875215982064427456771473899296822586777432207108336318988724425665586953785266164329500397346083298187837999112595175794866236567182283379294845754104768247248695389678315948551372787496830447793100558085383428989438860792260802431288276979488879890682149509388784597550113326264501780826752479021309369465990939771441560600692231348334040547943523290358505929312829250880385236572014148269092391413141294589887010624132472951923677265944809827596183653704745138137289710676712608505061973184382493389966335282045001372940013785861063368097878176757648429748288708412204414208463614737883998236177090984590078265066056104647292283796317582001802809260335964412590511350752287030966837050385092597389548007760441364513978863250861469546331211788796886323709223717003718510272064929855528014379872962642983634373527439119931912233935175170506154041779430220130393163970099900026462038817934765706099816216725545550252982933574841457616721939169261634527852788370699471698555971289062928996611483943762745470882252}
15476  2218982504106262952053402575545034602780807841893961524905417049: {46419,216538,309340,371208,401986,417609,571243,680284,710746,957466,1450138,1583419,1623405,1731632,1791388,1880386,1932625,1948086,1949323,2248546,2319150,2348552,2405083,2473760,2496019,2554906,2642121,2782980,2968512,2983138,3040123,3105346,3339576,3471586,3637468,3757023,3828872,3940005,4202672,4210123,4299619,4307481,4373884,4728006,5101843,5112538,5306888,5476348,5608713,5970249,6019138,6440986,6715965,6942268,6951019,7030205,7102306,7163696,7342306,7458969,7821538,8059158,8166163,8328089,8436246,8538466,8879725,9025483,9487605,9490786,9682761,9727112,10043150,10120112,10202338,10238709,10469803,10586908,10655670,10675426,10890643,10943001,11088538,11265346,11366048,11385126,11559706,11718201,11897270,11929448,11971138,12051780,12059419,12088546,12674626,12786804,12855232,12885619,13317466,13377883,13385613,13394792,13420629,13725538,13841986,14276724,14377433,14435563,14439205,14462136,14562748,14713306,15000043,15069141,15401083,15478005,15638746,15640843,16197763,16269903,16509872,16514419,16996100,17048072,17154669,17191138,17327046,17399753,17477338,18048538,18157963,18269069,18467419,18505352,18573606,18731866,18775723,18860284,19067165,19072666,19179081,19186138,19233128,19356226,19582786,19960328,19977965,20035138,20299963,20395320,20422225,20430106,20539190,20554633,20818521,21198772,21442138,21498619,21610306,21637269,21755008,21890266,22113946,22138472,22164763,22281538,22393186,22455369,22587257,22816533,22880598,22944735,23043883,23469148,23587688,23884133,23973558,23984563,24056419,24060226,24311432,24414619,24474384,24482649,24486043,24506670,24647028,24654405,24856790,24905781,24943426,25111965,25228828,25548763,25712866,25728038,25757192,25767706,26098670,26140448,26298032,26533786,26536149,26786096,26812569,26940523,27242338,27350361,27351106,27533682,27921512,28164826,28252029,28505443,28539950,28701101,28739613,28974163,28976841,29297986,29341700,29408004,29585286,29828148,30117628,30134358,30228619,30283960,30317146,30637786,30916886,31002213,31085405,31136323,31157884,31200619,31277338,31318404,31411701,31505205,31919725,31960965,32093203,32156419,32267510,32471419,32951432,32971546,33024226,33033883,33497626,33605552,33667688,33760066,33800709,33958363,34069455,34074466,34091696,34120190,34213825,34237965,34247940,34262923,34383368,34511673,34626019,34686283,34857946,35066266,35210040,35292988,35437701,35509700,36020181,36052483,36061113,36259138,36340752,36344443,36520496,36531136,36754340,36775138,36824249,36878146,37070361,37302486,37392226,37557376,37607683,37806246,37876149,38026684,38058403,38303670,38353158,38568538,38681289,38721012,39047068,39165043,39324005,39349389,39611295,39842605,39989146,40088072,40103481,40296019,40349083,40419302,40558875,40711853,40857248,40883346,40944228,41050965,41056590,41085325,41085558,41097528,41343619,41417884,41504205,41568861,41652283,42059803,42196186,42217832,42252048,42429628,42611640,42861019,42991066,43058443,43107619,43238626,43262800,43546963,43584538,43683226,43768605,43787696,43793696,43836619,44101533,44105208,44166980,44271152,44323138,44421346,45061843,45099081,45125805,45150501,45449308,45452416,45577965,45755912,45964404,46032538,46033589,46234719,46526421,46590619,46662466,46686512,47067403,47188806,47191193,47195923,47385946,47493283,47495061,47533554,47811126,47871848,47938095,48105826,48134192,48241723,48284375,48445483,48486019,48571094,48616496,48670650,48679138,48822106,48917338,49108348,49261158,49267908,49279592,49281619,49302390,49514683,49618359,49775349,49805046,49821403,49976245,50272843,50338138,50667586,50786419,51043138,51133968,51180043,51198213,51321019,51418684,51475401,51744538,51873403,51895605,51915360,52205241,52320884,52374523,52501825,52505419,52506200,52522326,52589216,52606070,52766746,52788872,52795723,52954483,53000376,53017483,53060284,53480803,53545289,53597338,53601619,53653593,53714305,53827138,53855829,54041788,54148186,54150966,54285538,54443083,54582043,54693558,54881419,54887528,54988123,55045605,55106626,55172083,55333786,55346428,55355312,55376384,55376405,55439541,55504363,55554403,55678243,55872643,55896619,56038963,56177150,56224723,56338483,56970748,56983243,57002338,57003619,57104419,57124363,57136666,57236421,57270909,57292005,57300619,57463833,57494836,57508123,57525714,57538786,57615141,57741860,57742123,57930619,57941250,57997003,58013419,58157923,58159790,58266283,58373768,58404780,58458163,58472419,58560538,58664443,58715312,58724013,58742419,58926019,59050363,59069475,59162868,59254123,59387481,59412883,59541403,59547593,59594683,59601019,59625423,59631619,59682163,59692603,59773603,59798803,59840923,59858419,59874043,59876203,59876419,59964749,59971494,60311069,60317338,60499101,60518908,60535138,60839386,61111472,61160284,61260617,61327965,61618138,61748469,61804000,61953933,62134426,62255001,62274726,62298432,62348866,62538248,62656761,62989786,63002190,63007440,63127284,63167853,63396028,63542338,63627106,63873325,64013205,64176538,64302946,64457166,64612712,64777973,64811665,65073909,65303048,65309026,65416496,65670489,65762270,65933146,65933884,66054726,66057538,66275913,66451686,67027805,67041653,67202336,67207936,67375426,67412580,67415990,67620706,68280752,68409325,68636506,68750406,68838466,68896982,69200986,69290232,69381505,69529500,69602266,69706108,69791748,69816405,70018588,70041826,70085736,70196005,70355529,70519138,70883370,70967901,70992278,71033626,71115609,71490152,71623906,71702338,71906752,72171586,72689301,72871138,73057348,73450138,73465929,73542152,73593558,74025538,74140186,74164800,74292826,74470832,74535069,74671228,74744120,74862946,75155205,75199825,75278746,75294021,75542338,75602628,75608928,75617506,75847373,75980973,75992386,76021589,76270088,76402906,76424313,76463893,76487205,76493270,76647990,76815846,77453949,77516873,77616813,77773998,77951511,78315861,78697528,78704805,78846453,78914724,78933826,79109120,79109150,79402169,79667048,79832026,80165552,80426421,80433366,80578786,80773948,80895096,80896666,80899188,80929205,81423586,81586352,81633346,81637581,81698312,81757856,82091190,82135480,82197236,82293321,82673506,82734921,83131005,83188186,83242405,83256538,83257806,83435400,83759493,83779686,83951792,84087135,84111965,84235206,84375106,84406521,84447398,84509506,84610138,84987413,85011226,85060044,85067990,85319245,85608538,85803849,86158670,86200666,86417768,86690146,86761468,86982106,87079138,87089672,87284901,87353884,87563936,88534719,88612066,88673072,88675138,88732225,88997760,89048582,89101928,89190845,89418268,89551426,89625429,89632533,89692944,89923138,89984866,90186246,90239790,90498189,90629146,90981325,90994138,91006983,91558945,91784646,91791924,91836826,91896538,91910601,91977588,92194138,92402415,92444168,92549146,92836405,93135706,93267129,93359469,93734452,93864825,93946100,94032226,94083868,94089538,94331901,94445766,94661884,94715746,94930944,94930980,94941538,94959021,95138266,95557186,95773790,96055138,96253113,96255776,96377489,96851105,96873538,97115046,97219989,97248261,97330906,97975881,98074138,98409689,98424260,98509428,98519266,98562576,98766613,98985538,99285933,99528508,99757206,99826906,99890886,99927706,...,19609288662291298105652174717823999524062683602152946731428189082802570592797872987333454967398509686074978860522221630513512015627843419216770836044522004362109815236653559646121101072033636377142039181466995954718788531944214294082228292617534151804650197551250623049285475267114053720652694222365067251172904721549028106935155610673944134162561635142154379136089769369688937903474235052929528550994345823197318756866623266019418596409555725080413144935210493681287581058897490899322658487374273726336344466071804157818195039792598726140559197383439671245119363996443773370531710710256905049457452717862134659699101817400143149933059115936870073178749884751239413387537609199759336393291961562681844515503983373452433932197111030254611057757041045427228374920536788982535361237557261708640876090907978225652434124053350232913750201896522860691709906941494058205586992831744999016505008415701008463761407326611596089078434628134881862665774731303857346804845575246782228276052147520642136286273164453924409960791327645690139454175373909106461713749735483244776467245972660791099184798228131112751602760833824400907806137441364988466411104081200409899138028267771278136999131939609604290157995754516310468314865434700800752436715910510812302475614847610175391472418563724236714087457949059368109112736042277133276278723418740585673470502179967037127750566508861358812719646044160227334753530361627323620705961239591368341914427204234061532687983943812312823973096641185157210848945233880166148310662504478483086638498380430677899246494250596019124947281756998668892763692299354850773425068942268631157152370873043084517473922827059181245245671689650837128075143484158291188391203646932415469233319836023224264083176896325169989396752671240128718531964054198986409657162340901038347022501060821915284935537758893969243876320577854858021222403638587119711941884830515936198709427885515898917214741394275480557117707205934566015068912757592959776573740084949502923067502059410020678791595052146817265136472644622433062618306621312695422106825997354265636476885117397599084156970938425694476373002704213890503946618885767026128430546450255575577638896084322011640662046770968294876292204319496817683195329485563835575505577765408097394783292021569809443964475451560291158679897868350902762755759231062669145330195589745955149850039693058226902148559149724325088318325379474400362262186425082908753892451791779182556049207547833956933594393494917225915644118206323378}
15477  2228865237344451469319399196859339515129704693092558415154332001: {61892,324807,386675,464010,494944,556812,602979,850355,1020426,1066119,1436199,1515178,2054983,2164540,2175207,2239235,2597448,2611219,2687082,2820579,2922129,2935690,3092200,3350263,3372819,3478725,3522828,3677338,3710640,3832359,3907079,3958016,4174470,4418986,4452768,4463027,4474707,4546835,4643527,4658019,4786090,5009364,5207379,5253340,5456202,5467355,5573479,5743308,6268234,6304008,6560826,6633610,6845435,7092009,7420387,7478284,7628842,7668807,7960332,8214522,8511223,8677835,8855098,8954620,8985779,9028707,9086503,9232522,9661479,9945292,9973594,10413402,10438267,10653459,10745544,11013459,11248328,11720443,11732307,12088737,12158890,12314987,12557578,12650140,12654369,12807699,12910348,13233635,13651612,14044679,14207560,14236179,14446138,14534459,14590668,14606059,14911810,14917063,15054083,15064725,15180168,15303507,15447203,15624268,15880362,15983505,16013139,16069040,16192183,16260058,16632807,16743490,16828987,16898019,17000554,17049072,17077689,17339559,17465287,17845905,17847484,17894172,17956707,18077543,18077670,18132819,18203435,18773819,19011939,19035632,19180206,19282848,19371163,19592743,19976199,20092188,20568379,20588307,20637340,20639227,20762979,20991563,21245125,21272503,21310090,21415086,21693204,21696947,21844122,22069959,22537543,22872892,23010778,23100803,23102728,23131690,23437834,23458119,23575355,24041410,24425986,24431323,24717946,24764808,24950410,25120439,25184842,25494150,25572108,25786707,25990569,26216007,26371403,26498465,27072807,27193760,27673090,27758028,27860409,28097799,28104263,28290426,28310323,28411786,28457959,28608999,28779207,28832503,28849692,29034339,29336435,29374179,29404858,29459227,29484610,29623786,29830234,29940492,30052707,30059419,30085447,30100103,30389290,30422044,30507464,30592980,30645159,30808785,31241587,31536035,31596682,31661243,31787779,31798158,31955434,31964744,32163207,32196490,32415459,32632512,32643532,32675560,32835399,32862704,32872540,33087923,33170919,33207708,33422307,33427259,33482620,33589779,33981047,34137683,34320897,34789099,34808026,34901890,35060698,35077063,35203722,35381532,35573122,35750092,35960337,36090339,36467148,36677125,36711576,36760005,36940603,36970542,36993703,37196963,37285185,37415139,37647035,37669372,37843242,37854950,38109667,38304107,38314234,38314939,38319484,38569299,38592057,38635788,38651559,38737258,38947355,39042179,39148005,39210672,39447048,39641579,39770864,39800679,40031783,40036423,40179144,40323379,40337986,40457479,40850698,40863507,41026659,41059066,41131402,41189290,41300523,41336284,41757872,41882268,41887867,42006940,42084610,42117418,42167938,42247239,42539434,42614620,42672442,42809925,42979210,43119643,43187146,43915783,43946979,44012550,44112006,44116235,44183659,44377929,44387125,44742222,44900203,44959067,45067612,45095362,45176442,45201537,45425940,45475719,45650620,45663920,45942925,45956679,46015564,46154443,46161754,46190263,46375329,46736826,46916007,46946720,46977606,47250268,47533355,48026587,48026908,48081484,48218179,48401265,48435898,48454336,48486442,48808835,48902579,49427148,49457319,49536339,49578443,49736648,50110090,50246439,50408328,50501532,50574826,50640099,50660578,50869786,51071560,51077047,51111699,51115787,51137544,51180285,51252983,51371910,51375898,51575052,51628016,51772355,52217386,52286919,52465852,52537603,52599399,52772290,52815060,52824563,52870378,52939482,53037035,53264550,53464679,53471308,53472538,53524939,53529898,54078500,54268666,54388707,54511128,54592304,54688387,54720967,54734620,54742120,54780744,54796704,55131510,55162707,55208725,55317219,55338940,55425148,55865482,55953729,56088339,56336064,56536123,56613274,56709369,56811635,56815520,56883394,57040026,57140167,57194890,57239434,57455505,57529737,57694279,57852807,58081518,58178506,58358140,58570602,58717367,58784147,58802044,58806944,59322562,59657543,59745658,59839810,59983719,60132108,60167740,60200668,60310903,60314147,60628953,60770620,61285872,61325019,61385435,61416342,61584885,61599490,61628337,61646292,61829923,62035228,62126826,62409034,62553883,62731363,62918408,63294279,63326748,63378072,63544679,63644442,63748168,63876058,63917460,64273355,64349383,64486599,64514483,64837162,64840666,64857939,64894200,65089282,65161978,65376807,65401105,65524839,65632750,65681544,65690544,65736520,65957863,65986090,66106979,66157812,66199258,66250470,66325355,66367132,66406728,66484707,66632019,66736327,67050359,67248323,67552235,67671946,67900999,68173962,68178624,68264284,68609410,68633868,68769922,68860337,68946606,69048807,69183035,69194140,69220480,69411778,69606988,69678643,69708667,69993699,70029768,70144858,70667168,70783209,71078919,71213435,71300331,71388058,71486023,71538124,71716689,71807772,71868545,71955787,72158739,72177325,72201288,72397594,72723562,72766763,72856641,72924744,72967210,73005975,73018707,73176259,73233159,73376007,73394140,73457818,73662522,73891737,73901862,73919388,73953585,73977754,74168963,74411563,74707569,74772346,75507207,75615547,75648635,75835786,76001379,76203463,76315228,76361212,76389340,76450355,76564707,76618444,76619842,76700952,76820188,76895746,77128026,77255000,77588938,77616807,77873040,77964187,78002602,78172810,78197863,78298684,78481326,78586138,78759300,78783489,78883824,78909105,78970762,79047706,79150119,79183308,79245035,79261379,79500167,79500564,79590426,79750714,79961992,80092763,80396007,80492579,80665468,80740707,80765890,80888647,81062682,81146983,81222279,81226449,81428307,81628810,81698899,81770620,82040337,82331292,82417355,82605244,82659939,83000679,83006668,83019642,83032968,83064576,83542348,83591527,83744243,84002920,84009920,84169712,84223804,84265725,84609499,85350940,85419643,85456122,85503507,85704999,85934483,85942888,86242254,86288571,86308179,86353474,86612790,86668234,86765212,86911875,87132635,87239685,87523235,87560652,87607170,87840807,88072968,88367884,88602248,88744302,89362690,89586427,89788714,89883440,89957241,90024809,90476007,90580666,90642523,90657107,90697282,90778362,90802707,91259079,91273834,91321685,91667208,91740426,91927690,91950946,92135587,92161403,92386976,92427207,92460487,92549578,92706000,93055664,93088540,93201639,93240323,93339035,93388283,93412089,93430150,93447648,93523299,93606583,93794266,93807372,94014658,94195943,94484679,94503285,94511160,94623868,94690926,94820812,95094042,95313507,95321947,95337610,95440659,95605879,96073703,96211579,96264807,96423802,96454419,96685749,96743578,96819763,96919068,97023994,97911322,97954572,97958663,97963539,98063099,98124744,98166347,98170807,98371910,98643405,98886400,98899719,98900826,99082089,99086307,99324226,99380092,99519187,99583810,99677529,...,29413932993436947158478262076735999286094025403229420097142283624203855889196809481000182451097764529112468290783332445770268023441765128825156254066783006543164722854980339469181651608050454565713058772200493932078182797916321441123342438926301227706975296326875934573928212900671080580979041333547600876759357082323542160402733416010916201243842452713231568704134654054533406855211352579394292826491518734795978135299934899029127894614333587620619717402815740521931371588346236348983987731061410589504516699107706236727292559688898089210838796075159506867679045994665660055797566065385357574186179076793201989548652726100214724899588673905305109768124827126859120081306413799639004589937942344022766773255975060178650898295666545381916586635561568140842562380805183473803041856335892562961314136361967338478651186080025349370625302844784291037564860412241087308380489247617498524757512623551512695642110989917394133617651942202322793998662096955786020207268362870173342414078221280963204429409746680886614941186991468535209181263060863659692570624603224867164700868958991186648777197342196669127404141250736601361709206162047482699616656121800614848707042401656917205498697909414406435236993631774465702472298152051201128655073865766218453713422271415263087208627845586355071131186923589052163669104063415699914418085128110878510205753269950555691625849763292038219079469066240341002130295542440985431058941859387052512871640806351092299031975915718469235959644961777735816273417850820249222465993756717724629957747570646016848869741375894028687420922635498003339145538449032276160137603413402946735728556309564626776210884240588771867868507534476255692112715226237436782586805470398623203849979754034836396124765344487754984095129006860193077797946081298479614485743511351557520533751591232872927403306638340953865814480866782287031833605457880679567912827245773904298064141828273848375822112091413220835676560808901849022603369136389439664860610127424254384601253089115031018187392578220225897704708966933649593927459931969043133160238996031398454715327676096398626235456407638541714559504056320835755919928328650539192645819675383363366458344126483017460993070156452442314438306479245226524792994228345753363258366648112146092174938032354714165946713177340436738019846802526354144133638846594003717995293384618932724775059539587340353222838724586487632477488069211600543393279637624363130838677687668773834073811321750935400391590242375838873466177309485067}
15478  2238791637034405568592002253269964521746401099988678365436479407: {77365,92838,170137,262837,433076,618680,696015,742416,803972,835218,1142486,1360568,1421492,1530639,1553077,1914932,2272767,2284021,2705675,2738521,2900276,2919817,3166838,3246810,3463264,3582776,3760772,3821977,3865250,3896172,3898646,4030623,4403535,4497092,4638300,4697104,4806037,4810166,4947520,4992038,5109812,5250457,5284242,5516007,5565960,5937024,5966276,6045877,6080246,6210692,6261705,6566675,6628479,6679152,6922837,6943172,7179135,7274936,7514046,7619221,7657744,7792597,7880010,8184303,8405344,8420246,8599238,8614962,8741017,8747768,8912521,9347855,9402351,9456012,9595657,9841239,9842287,9950415,10203686,10225076,10611721,10613776,10952696,11193275,11199637,11217426,11443263,11867221,11940498,12033397,12038276,12282121,12321783,12431615,12530197,12881972,12942217,13282647,13431930,13516021,13679317,13848783,13884536,13902038,14060410,14204612,14327392,14684612,14894857,14917938,14960391,15620103,15643076,15696217,15812675,15935221,16118316,16137935,16332326,16490377,16656178,16872492,17064515,17076932,17512021,17759450,18050966,18238335,18444277,18675721,18836367,18975210,18981572,19365522,19454224,19530335,20050777,20086300,20214887,20240224,20404676,20477418,20729557,20939606,21104137,21173816,21311340,21350852,21669207,21781286,21847897,21886002,22177076,22217077,22309355,22367715,22437721,22530692,22657717,22732096,22770252,23119412,23386357,23436402,23675797,23794540,23820543,23858896,23942276,24103560,24118838,24177092,24291839,24390087,24465817,25115235,25349252,25500831,25573608,25710464,25771238,25796675,25809877,26634932,26694031,26714521,26755766,26771226,26789584,26841258,27116505,27265177,27451076,27683972,27879157,27969151,28217737,28553448,28554517,28591115,28754866,28770309,28871126,28878410,28924272,29125496,29426612,29620117,30000086,30138282,30802166,30861577,30926197,30956010,31277492,31281686,31758023,31823317,31965135,32122629,32203477,32395526,32539806,32766183,33019744,33028838,33266521,33919483,33992200,34065397,34096144,34309338,34369417,34382276,34516167,34654092,34697535,34799506,34954676,35156751,35389621,35685721,35862517,36062115,36097076,36315926,36538138,36563221,36638979,36852121,36934838,37010704,37076919,37147212,37424521,37425615,37463732,37551446,37720568,37777263,37820917,38027555,38134330,38145332,38241225,38358162,38372276,38466256,38712452,39165572,39371221,39749977,39920656,39955930,40070276,40444021,40599926,40707721,40790640,40804415,40812697,40844450,40860212,41078380,41090675,41109266,41125897,41509635,41637042,41642137,41846617,41853275,42252121,42397544,42435639,42603157,42617679,42884276,42997238,43220612,43274538,43343497,43392277,43510016,43519567,43586677,43780532,44067637,44107287,44210521,44226915,44227892,44276944,44329526,44352757,44435679,44541397,44563076,44687615,44745351,44786372,44910738,45007957,45174514,45376021,45583935,45633066,45761196,45829621,45889470,45964297,46087766,46496521,46845577,46938296,47061397,47086715,47175376,47395023,47487637,47697237,47768266,47899355,47933151,47947116,47969126,48112838,48120452,48294735,48622864,48683017,48803221,48829238,48882997,48948768,48965298,48972086,49013340,49081177,49294056,49308810,49713580,49811562,49886852,50223930,50457656,50528521,51097526,51177817,51425732,51456076,51514384,51535412,51666697,51670355,51701077,51769621,51939721,52197340,52212039,52280896,52352835,52504597,52508675,52591047,52596064,52666777,52805583,52859017,53067572,53072298,53173657,53268275,53359683,53389621,53572192,53602057,53625138,53881046,53928757,53987221,54133343,54360217,54416521,54484676,54500437,54611317,54700722,54702212,54748297,55053607,55067364,55278217,55455813,55482121,55779337,55779647,55843024,56136277,56320021,56329652,56334515,56504058,56608777,56652121,56764863,56782425,56801557,56822617,56906137,57010886,57029257,57063275,57079900,57209077,57402202,57471351,57479226,57514357,57519455,57587797,57695797,57731221,57870037,57948326,57953682,58105887,58228021,58595972,58683400,58725721,58816008,58888117,58970521,59062835,59135221,59170572,59311477,59495221,59587417,59650057,59656296,59705497,59725657,59848021,59852917,59859721,59865877,59884021,60033635,60101855,60235256,60268716,60457238,60506979,60567920,60634292,61275572,61276047,61588599,61697103,61783935,61833772,62004426,62170810,62272646,62315768,62401238,62554676,62636808,62823402,63010410,63126915,63176127,63251907,63809151,63839450,63921930,64008663,64186406,64312838,64468815,64535020,64780719,64942838,65582315,65902864,65943092,66018825,66048452,66067766,66168009,66351527,66839135,66995252,67113333,67211104,67335376,67520132,67598125,67601418,67643043,67764663,67916726,68138910,68148932,68183392,68240380,68418275,68427650,68475930,68495880,68525846,68766736,69023346,69173675,69242631,69252038,69281435,69372566,69715892,69966743,70105239,70132532,70420080,70466409,70585976,70875402,71019400,72040362,72104966,72122226,72398911,72518276,72653847,72681504,72688886,72729663,72947675,73040992,73062272,73502555,73508680,73550276,73648498,73756292,74140722,74604972,74784452,75114752,75165135,75200027,75209675,75215366,75250835,75612492,75752298,75792851,75862239,75963275,75990867,76053368,76116806,76304679,76607340,76706316,77057865,77063847,77137076,77362578,77442024,77526967,77544035,78094136,78326079,78330086,78648010,78698778,79158435,79222590,79305567,79409223,79685210,79896825,79978292,80176144,80193839,80206962,80208807,80294847,80592038,80698166,80838604,81117750,81402999,81423706,81714496,81766692,81888456,82101930,82113180,82170650,82171116,82195056,82687238,82697265,82835768,82958915,83008410,83137722,83304566,83798223,84119606,84392372,84435664,84504096,84859256,84919911,85223280,85325091,85330355,85560039,85722038,85792335,85859151,85982132,86116886,86215238,86477252,86492675,86525600,87008735,87093926,87122277,87169076,87267759,87366452,87537210,87575392,87587392,87673238,87855903,88203066,88210416,88333960,88542304,88646276,88842692,88983843,89422655,89618487,89759715,90123686,90198162,90251610,90301002,90366419,90736331,90898616,90904832,91155930,91511824,91742675,91928808,92065076,92067178,92124513,92399235,92469438,93052842,93181238,93190239,93324932,93373024,93613551,93838927,94134806,94377612,94382386,94391846,94771892,94986566,94990122,95067108,95394035,95451515,95466663,95486675,95622252,95743696,95773055,95814087,95876190,96025235,96211652,96268384,96483446,96568750,96890966,96972038,97134107,97142188,97232992,97255743,97260999,97341300,97358276,97633923,97644212,97742967,97834676,97873355,98216696,98274407,98449125,98522316,98535816,98559184,98563238,98604780,98979135,99029366,99236718,99298887,99375705,99550698,99610092,99642806,99952490,...,39218577324582596211304349435647999048125367204305893462856378165605141185595745974666909934797019372149957721044443261027024031255686838433541672089044008724219630473307119292242202144067272754284078362933991909437577063888428588164456585235068303609300395102501246098570950534228107441305388444730134502345809443098056213870311221347888268325123270284308758272179538739377875806948470105859057101988691646394637513733246532038837192819111450160826289870420987362575162117794981798645316974748547452672688932143608315636390079585197452281118394766879342490238727992887546741063421420513810098914905435724269319398203634800286299866118231873740146357499769502478826775075218399518672786583923125363689031007966746904867864394222060509222115514082090854456749841073577965070722475114523417281752181815956451304868248106700465827500403793045721383419813882988116411173985663489998033010016831402016927522814653223192178156869256269763725331549462607714693609691150493564456552104295041284272572546328907848819921582655291380278908350747818212923427499470966489552934491945321582198369596456262225503205521667648801815612274882729976932822208162400819798276056535542556273998263879219208580315991509032620936629730869401601504873431821021624604951229695220350782944837127448473428174915898118736218225472084554266552557446837481171346941004359934074255501133017722717625439292088320454669507060723254647241411922479182736683828854408468123065375967887624625647946193282370314421697890467760332296621325008956966173276996760861355798492988501192038249894563513997337785527384598709701546850137884537262314304741746086169034947845654118362490491343379301674256150286968316582376782407293864830938466639672046448528166353792650339978793505342480257437063928108397972819314324681802076694045002121643830569871075517787938487752641155709716042444807277174239423883769661031872397418855771031797834429482788550961114235414411869132030137825515185919553147480169899005846135004118820041357583190104293634530272945289244866125236613242625390844213651994708531272953770234795198168313941876851388952746005408427781007893237771534052256861092900511151155277792168644023281324093541936589752584408638993635366390658971127671151011155530816194789566584043139618887928950903120582317359795736701805525511518462125338290660391179491910299700079386116453804297118299448650176636650758948800724524372850165817507784903583558365112098415095667913867188786989834451831288236412646756}
15479  2248761894585223869614304395414464227781545891514852220438842450: {123784,139257,541345,649614,773350,928020,989888,1004965,1113624,1190497,1205958,1252827,1700710,1713729,1776865,2040852,2132238,2393665,2872398,2889337,3030356,3134929,3625345,4109966,4329080,4350414,4478470,4617457,4700965,4750257,4870215,4925041,4988089,5194896,5222438,5374164,5621365,5641158,5797875,5844258,5847969,5871380,6036649,6184400,6365569,6387265,6700526,6745638,6957450,6957577,7045656,7215249,7354676,7421280,7457845,7488057,7654297,7664718,7763365,7814158,7916032,7926363,8348940,8678965,8837972,8905536,8926054,8949414,9093670,9120369,9287054,9316038,9572180,9583609,10018728,10289809,10414758,10506680,10619557,10912404,10934710,11146958,11271069,11350537,11486616,11820015,12148969,12536468,12608016,12630369,12781345,12898857,12922443,13121652,13267220,13690870,13763809,14184018,14840774,14956568,15047845,15243457,15257684,15305529,15337614,15920664,15970837,16102465,16429044,16538149,16598257,16826139,17022446,17264521,17355670,17710196,17755765,17791189,17909240,17910747,17971558,18057414,18079897,18173006,18355765,18415441,18465044,18527089,18576937,19322958,19553845,19890584,19947188,20147895,20659369,20826804,20853057,20876534,21090615,21306918,21346165,21364369,21491088,22026918,22376907,22439257,22496656,23103817,23259349,23363317,23438041,23440886,23464614,23726965,24177474,24249529,24317780,24498489,24629974,24984267,25107841,25107875,25115156,25300280,25308738,25484809,25505845,25615398,25820696,25828057,26334001,26374837,26467270,26639175,26688565,26893609,27076449,27300949,27303224,27721345,27940009,28089358,28163365,28415120,28462815,28472358,28892276,28899265,29048283,29068918,29181336,29212118,29347057,29473921,29485429,29658457,29743175,29823620,29834126,29889169,29927845,30104041,30108166,30129450,30221365,30360336,30436417,30607014,30716127,30894406,31248536,31409409,31686565,31760724,31967010,32026278,32096977,32138080,32384366,32520116,32553109,32671929,32829003,33005497,33092257,33214129,33265614,33293665,33423841,33486980,33581089,33657974,33796038,33844777,34001108,34098144,34142137,34155378,34265929,34313845,34604965,34679118,34930574,35057857,35154603,35572849,35691810,35694968,35788344,35913414,36155086,36155340,36178257,36265638,36406870,36783265,37097851,37547638,37773889,38023878,38056777,38071264,38153881,38360412,38457877,38565696,38656857,38742326,38787829,39011449,39096865,39103909,39185486,39646741,39952398,40133649,40156839,40184376,40261887,40366777,41071009,41136758,41176614,41274680,41278454,41525958,41983126,42014137,42375481,42393529,42490250,42545006,42620180,42629329,42830172,42977845,43132299,43182757,43306689,43317615,43386408,43393894,43688244,43693345,44139918,44150449,44776009,44957221,44964949,44973841,45000129,45075086,45121345,45207423,45745784,46021556,46140757,46201606,46203249,46205456,46263380,46434015,46829665,46875668,46916238,46922529,46943017,47150710,47167489,47310289,47681665,47965345,48082820,48270169,48390565,48593289,48809709,48851972,48862646,48956965,49435892,49529616,49543257,49584937,49747801,49900820,50087845,50097589,50240878,50248369,50369684,50988300,51075265,51144216,51198697,51259657,51347975,51464007,51573414,51634729,51981138,52199259,52432014,52457089,52696729,52705849,52742806,52996930,53471641,53605345,54025765,54145614,54387520,54473889,54526297,54539809,54725665,54807207,55113817,55244689,55277041,55284865,55346180,55402257,55411201,55516056,55703845,55720818,55982965,56008501,56090617,56195598,56208526,56327169,56580852,56620646,56823572,56915918,57129409,57201495,57217998,57537243,57558414,57665006,57699384,57716857,57793957,58068678,58196881,58672870,58725049,58748358,58809716,58918454,58969220,59247572,59302069,59660468,59876449,59880984,59933895,60105414,60118838,60150565,60170894,60200206,60778580,60838549,60844088,60899889,60962737,61014928,61185960,61266675,61290318,61617570,61663899,61762729,62141975,62358565,62429029,62455563,62483174,62895409,63072070,63193364,63322486,63575558,63596316,63910868,63929488,64090549,64282165,64296961,64320095,64326414,64392980,64419265,64495857,64830918,64911807,65246675,65265024,65287064,65351120,65670798,65699929,65725408,65745080,66175846,66334465,66341838,66415416,66494289,66546697,66844614,66854518,66965240,66994321,67179558,67257097,67366107,67409929,67752457,67761771,67954729,67962094,68105845,68275366,68332369,68377765,68449599,68505301,68641794,68834205,69131649,69138529,69477589,69578198,69616052,69803780,70121396,70154126,70407444,70412065,70504369,70528729,70666081,70763064,71146244,71349875,71500184,71652399,71920674,71953689,72169257,72180678,72261649,72481297,72776257,72934296,73243857,73244965,73354250,73423152,73447947,73458129,73520010,73881206,73941084,73963215,73987406,74207689,74251849,74393926,74570370,74717343,74830278,75098257,75294070,75335895,75338744,75686484,75709900,75792865,76219334,76244389,76594465,76608214,76628468,76629878,76638968,76644709,76646289,77138598,77184114,77271576,77292215,77303118,77474516,77894710,78084358,78130057,78193345,78296010,78421344,78806389,78894096,79271761,79283158,79536289,79541728,79601358,79608447,80063566,80072846,80146981,80200609,80358288,80437707,80503081,80607829,80646758,80668775,80675972,80821569,80914958,81359209,81701396,81727014,82051083,82053318,82118132,82164841,82213897,82262804,82378580,82428865,82560565,82601046,82672568,83221141,83515744,83647849,83744065,83764536,83775734,84013880,84169220,84234836,84335876,84400165,84494478,84519601,84727681,84756087,85078868,85142137,85186165,85229240,85244569,85300475,85344884,85516329,85619850,85661257,85939609,85958420,85980361,86103303,86218839,86239286,86374292,86874049,86922489,86930523,87144865,87189001,87654229,87665665,87831566,87893958,88025100,88224012,88232470,88367318,88755858,88774250,89484444,89515441,89800406,89841289,89918134,89982697,90126409,90135224,90190724,90352884,90403074,90647845,90685857,90851880,90951438,91285921,91301240,91327840,91561547,91709557,91885850,91902457,91913358,91937845,92031128,92195365,92308886,92323508,92380526,92750658,92855497,93006639,93256215,93400501,93408969,93473652,93480565,93568057,93601857,93832014,93893440,93955212,93961969,94235103,94500536,94513177,94515615,94573129,94641817,95066710,95759175,95882895,96053174,96053816,96162968,96279609,96421345,96436358,96469257,96670969,96800761,96802530,96856249,96871796,96908672,96972884,97179769,97414257,97617670,97736869,97805158,97943809,97971841,98285737,98473009,98761057,98854296,98914638,98970469,99072678,99101649,99156886,99473296,99677749,99698809,99972865,...,58827865986873894316956524153471998572188050806458840194284567248407711778393618962000364902195529058224936581566664891540536046883530257650312508133566013086329445709960678938363303216100909131426117544400987864156365595832642882246684877852602455413950592653751869147856425801342161161958082667095201753518714164647084320805466832021832402487684905426463137408269308109066813710422705158788585652983037469591956270599869798058255789228667175241239434805631481043862743176692472697967975462122821179009033398215412473454585119377796178421677592150319013735358091989331320111595132130770715148372358153586403979097305452200429449799177347810610219536249654253718240162612827599278009179875884688045533546511950120357301796591333090763833173271123136281685124761610366947606083712671785125922628272723934676957302372160050698741250605689568582075129720824482174616760978495234997049515025247103025391284221979834788267235303884404645587997324193911572040414536725740346684828156442561926408858819493361773229882373982937070418362526121727319385141249206449734329401737917982373297554394684393338254808282501473202723418412324094965399233312243601229697414084803313834410997395818828812870473987263548931404944596304102402257310147731532436907426844542830526174417255691172710142262373847178104327338208126831399828836170256221757020411506539901111383251699526584076438158938132480682004260591084881970862117883718774105025743281612702184598063951831436938471919289923555471632546835701640498444931987513435449259915495141292033697739482751788057374841845270996006678291076898064552320275206826805893471457112619129253552421768481177543735737015068952511384225430452474873565173610940797246407699959508069672792249530688975509968190258013720386155595892162596959228971487022703115041067503182465745854806613276681907731628961733564574063667210915761359135825654491547808596128283656547696751644224182826441671353121617803698045206738272778879329721220254848508769202506178230062036374785156440451795409417933867299187854919863938086266320477992062796909430655352192797252470912815277083429119008112641671511839856657301078385291639350766726732916688252966034921986140312904884628876612958490453049585988456691506726516733296224292184349876064709428331893426354680873476039693605052708288267277693188007435990586769237865449550119079174680706445677449172975264954976138423201086786559275248726261677355375337547668147622643501870800783180484751677746932354618970134}
15480  2258776202238377031957578362518732753423962800140548898209825524: {108311,154730,185676,201071,293759,340274,448079,525674,571391,632999,817631,866152,974421,1032671,1160025,1216679,1237360,1369799,1392030,1484832,1492151,1583831,1607944,1644911,1670436,1808937,2010719,2284319,2284972,2314679,2551065,2557271,2648111,2721136,2769119,2842984,2920199,2950391,3061278,3106154,3198357,3221759,3642599,3787945,3829864,4002071,4270919,4308597,4449791,4545534,4568042,4658111,5014319,5280719,5411350,5428439,5477042,5634911,5723279,5800552,5839634,5870399,5987951,6164949,6310559,6333676,6493620,6525621,6717705,6748919,6926528,6952871,7011071,7165552,7339225,7521544,7643954,7730500,7792344,7797292,7822511,7833657,8061246,8081999,8312111,8461737,8766387,8807070,8827991,8942279,8994184,9113471,9193345,9276600,9394208,9612074,9620332,9682031,9767039,9895040,9984076,10050789,10106351,10118457,10219624,10360079,10436175,10472639,10500914,10568484,10725431,10809551,10893599,10949591,11032014,11047465,11131920,11145311,11497077,11702351,11721237,11874048,11896559,11932552,11965225,12062711,12091754,12118031,12160492,12421384,12476831,12523410,12559439,12943991,13086997,13133350,13256958,13358304,13381559,13389081,13424121,13517879,13626791,13640505,13762751,13845674,13886344,13930581,13974057,14169431,14358270,14358599,14549872,14735759,14896919,14923751,15028092,15138119,15238442,15298559,15315488,15405359,15585194,15622137,15670585,15698399,15724991,15760020,16368606,16402065,16519031,16584025,16720437,16810688,16840492,16965791,17198476,17229924,17404261,17482034,17495536,17514479,17540519,17618591,17825042,17904239,18214751,18472631,18524111,18695710,18704039,18781031,18804702,18912024,19072105,19191314,19368911,19682478,19684574,19699319,19826039,19900830,20003111,20078879,20305751,20356079,20407372,20450152,20536305,20607239,20732519,20757551,21223442,21227552,21276027,21579119,21702839,21801671,21905392,21949679,22137745,22171151,22220279,22261161,22293911,22386550,22399274,22434852,22465439,22593109,22886526,23006421,23081305,23413919,23679239,23703311,23734442,23880996,23890321,24066794,24076552,24135239,24421751,24469391,24493199,24564242,24635879,24643566,24754559,24863230,24933985,24991319,25060394,25180151,25344959,25415471,25533669,25673399,25763944,25884434,25953671,26033505,26565294,26863860,26879591,26957337,26994431,27032042,27086121,27086159,27154871,27259509,27292079,27342469,27358634,27406199,27679271,27697566,27747359,27769072,27804076,27883319,27905951,28086719,28120820,28244471,28409224,28558799,28581191,28654784,28693031,28708537,28984437,29359871,29369224,29448239,29646599,29778479,29789714,29835876,29920782,30237791,30281351,30397225,30411839,30671951,31081439,31145831,31188719,31233097,31240206,31286152,31314801,31392434,31393945,31573271,31625350,31785791,31870442,31891751,31960377,32166311,32208431,32236632,32275870,32664652,32669639,32857199,32980754,33040377,33044111,33312356,33395399,33744984,34070711,34091039,34129030,34153864,34212839,34394999,34495919,34917599,35024042,35161329,35176871,35196921,35276231,35414999,35494261,35518900,35828951,35926991,36101932,36102959,36115345,36266211,36278279,36452951,36476670,36511031,36742631,36857999,36888554,36944961,36992231,37087871,37145159,37279525,37351442,37449479,37532209,37657511,37672734,37950420,37963107,37963144,38070671,38182679,38275799,38423097,38719991,38731044,38908448,39060670,39214199,39323231,39450071,39558479,39700905,39774431,40027561,40101554,40172600,40362359,40397711,40429774,40468319,40480448,40650145,40731959,40809352,40819439,40836911,40954836,41132711,41459114,41666159,41858725,41879212,41921519,42023159,42134037,42158231,42208274,42259199,42275999,42326351,42347632,42410111,42501385,42527039,42622680,42626951,42701704,42708537,42709991,42875471,42908471,43253039,43338414,43367111,43513199,43561751,43562572,43594079,43603377,43695794,43772004,43818177,44075159,44218079,44354152,44407631,44434154,44564711,44618710,44735430,44751189,44752151,44875442,44876471,45061384,45162249,45194175,45315434,45383879,45399119,45464192,45540504,45837599,45910521,46017071,46238824,46341609,46343111,46737959,46772714,46853831,46868279,46872804,47084039,47351594,47383079,47510159,47580479,47589080,47641086,47664599,47717792,47884552,47950515,47956751,48039417,48207120,48237676,48354184,48408719,48503471,48576549,48583678,48731951,48780174,48812039,48891839,48905111,48931634,49364591,49455311,49558511,49898421,49991399,50029151,50179439,50230470,50316191,50353319,50486961,50611199,50694057,50698504,50973479,51001662,51147216,51199199,51222791,51233067,51340271,51363671,51420928,51542476,51593350,51619754,52018677,52129079,52218071,52361591,52395861,52416431,52514639,52525511,52676879,52837319,53183951,53238577,53269864,53275225,53287271,53348879,53388062,53429042,53501639,53511532,53537715,53542452,53579168,53592431,53622551,53642591,53682516,53870121,53968631,54181151,54232629,54233010,54342719,54370991,54398457,54492671,54520559,54530354,54610305,54622199,54631391,54759239,54902152,54921311,55027919,55142111,55211711,55367944,55425911,55501799,55526951,55543679,55618559,55700999,55717391,55758314,55790759,55895591,55911599,55938302,56077751,56108999,56147879,56321457,56331719,56339279,56361911,56376959,56399471,56435474,56444279,56904311,57027791,57035817,57041351,57106896,57108671,57109034,57126181,57181799,57182230,57318719,57357191,57509732,57526751,57526945,57532919,57540618,57545231,57742252,57749639,57756820,57767231,57829225,57831119,57848544,57866677,57899711,57916679,57955991,57983831,58082399,58113489,58167839,58246079,58250992,58292159,58302311,58322519,58441079,58484351,58493879,58594585,58650959,58739039,58743359,58769111,58778229,58828079,58853224,58865159,58893551,58949159,58987919,59006999,59029631,59084951,59127911,59152439,59173151,59200319,59213711,59230271,59240234,59297639,59310071,59379071,59387759,59441111,59501831,59531831,59560679,59601791,59608391,59623511,59627759,59654591,59660591,59664551,59721839,59741951,59769959,59787191,59799359,59843591,59857871,59863079,59870351,59875559,59879711,59888831,59889911,59897399,59904791,59905199,59907311,59907431,59928597,60000172,60103525,60276564,61064965,61604332,61705137,61723154,61764921,61794865,61852394,61912020,61917681,62288937,62376025,62554984,62562661,62563372,62962105,62974689,63516046,63646634,63735375,63817509,63930270,63975769,64245258,64406954,64791052,65079612,65090841,65532366,65921401,66039488,66057676,66209877,66533042,67059097,67612629,67838966,67984400,68130794,68192288,68618676,68738834,68764552,69032334,69182725,69302409,69308184,69395070,69599012,69909352,70313502,70374357,70726065,70779242,71029465,71371442,71725034,72124230,72194152,72338497,72631852,73076276,73126442,73277958,73293969,73512145,73704242,73711525,73869676,74021408,74059465,74153838,74157589,74294424,74575585,74849042,74851230,74927464,75102892,75361317,75441136,75554526,75641834,75973225,76055110,76268660,76290664,76482450,76716324,76744552,76932512,77360121,77424904,77971707,78331144,78415441,78648021,78742442,78868321,78991705,79114209,79495395,79499954,79841312,79888585,79911860,80140552,80491225,80527237,80888042,81199852,81218421,81415442,81581280,81608830,81625394,81688900,81720424,82156760,82181350,82218532,82251794,82687969,83019270,83274084,83284274,83581227,83693234,83706550,84047089,84142597,84293397,84312789,84504242,84709657,84795088,84871278,84930969,85206314,85235358,85373877,85768552,85826997,85994476,86337621,86441224,86497509,86549076,86686994,86784554,87020032,87020065,87039134,87103017,87173354,87254725,87561064,87651745,88009305,88122537,88135274,88214574,88377681,88421042,88453830,88455784,88553888,88659052,88705514,88871358,88932805,89082794,89126152,89375230,89490702,89572744,89821476,90015914,90158121,90178257,90256341,90300309,90349028,90752042,91167870,91266132,91522392,91659242,91778940,91815241,91928594,91935477,92175532,92426355,92993042,93574789,93691154,93724761,93876592,94122794,94173430,94350752,94608105,94637375,94774537,94790046,94975274,94983729,95363337,95394474,95536532,95785585,95798710,95866302,95894232,95938252,96225676,96240904,96489621,96589470,96843145,96994009,97245728,97246377,97366034,97606442,97658476,97765994,97897536,97930596,97944172,98026680,98162354,98506197,98588112,98617620,99263769,99427160,99512757,99623124,99773704,...,88241798980310841475434786230207997858282076209688260291426850872611567667590428443000547353293293587337404872349997337310804070325295386475468762200349019629494168564941018407544954824151363697139176316601481796234548393748964323370027316778903683120925888980627803721784638702013241742937124000642802630278071246970626481208200248032748603731527358139694706112403962163600220565634057738182878479474556204387934405899804697087383683843000762861859152208447221565794114765038709046951963193184231768513550097323118710181877679066694267632516388225478520603037137983996980167392698196156072722558537230379605968645958178300644174698766021715915329304374481380577360243919241398917013769813827032068300319767925180535952694886999636145749759906684704422527687142415550421409125569007677688883942409085902015435953558240076048111875908534352873112694581236723261925141467742852495574272537870654538086926332969752182400852955826606968381995986290867358060621805088610520027242234663842889613288229240042659844823560974405605627543789182590979077711873809674601494102606876973559946331592026590007382212423752209804085127618486142448098849968365401844546121127204970751616496093728243219305710980895323397107416894456153603385965221597298655361140266814245789261625883536759065213393560770767156491007312190247099743254255384332635530617259809851667074877549289876114657238407198721023006390886627322956293176825578161157538614922419053276897095927747155407707878934885333207448820253552460747667397981270153173889873242711938050546609224127682086062262767906494010017436615347096828480412810240208840207185668928693880328632652721766315603605522603428767076338145678712310347760416411195869611549939262104509188374296033463264952285387020580579233393838243895438843457230534054672561601254773698618782209919915022861597443442600346861095500816373642038703738481737321712894192425484821545127466336274239662507029682426705547067810107409168318994581830382272763153803759267345093054562177734660677693114126900800948781782379795907129399480716988094195364145983028289195878706369222915625143678512168962507267759784985951617577937459026150090099375032379449052382979210469357326943314919437735679574378982685037260089775099944336438276524814097064142497840139532021310214059540407579062432400916539782011153985880153856798174325178618762021059668516173759462897432464207634801630179838912873089392516033063006321502221433965252806201174770727127516620398531928455201}
15481  2268834753071298703614923166578010700495813162957126941144094240: {232095,247568,278514,510411,757883,788511,1082690,1299228,1406951,1546700,1856040,1979776,2009930,2088045,2227248,2380994,2411916,2487611,2505654,2856215,3229259,3351131,3401420,3414671,3427458,3553730,4081704,4264476,4591917,4659231,4787330,5075483,5264699,5574923,5744796,5778674,5820503,6060712,6269858,6581351,6746843,6818301,6852063,7250690,7296971,7869911,7917095,8117025,8215563,8219932,8222591,8658160,8700828,8759451,8942171,8956940,9234914,9401930,9500514,9663125,9703583,9740430,9746615,9850082,9976178,10389792,10440983,10444876,10748328,10868711,10999451,11242730,11282316,11465931,11595750,11688516,11695938,11742760,12025415,12073298,12091869,12150551,12368800,12480095,12731138,12774530,13210605,13374779,13401052,13414271,13491276,13914900,13915154,14091312,14418111,14430498,14709352,14842560,14915690,14976114,15200615,15308594,15329436,15526730,15628316,15751371,15832064,15852726,16402991,16548021,16697880,17357930,17675944,17678711,17811072,17849759,17852108,17893883,17898828,18137631,18187340,18240738,18417839,18574108,18632076,18785115,19100231,19144360,19167218,19700025,19885437,20037456,20579618,20762459,20768511,20829516,21013360,21050615,21066983,21239114,21367151,21498095,21537405,21763703,21824808,21869420,22293916,22542138,22543451,22701074,22857663,22973232,23089883,23377791,23441099,23640030,23717531,24297938,24502991,24552909,24858071,25072936,25216032,25260738,25444859,25509215,25562690,25698071,25797714,25844886,25995743,26223051,26243304,26445551,26534440,26737563,26897111,27226679,27304511,27375383,27381740,27445451,27527618,27699503,28043565,28150139,28207053,28368036,28786971,29477759,29523717,29526861,29672903,29681548,29851245,29884631,29913136,30057563,30095690,30181751,30440399,30486914,30515368,30611058,30675228,31105211,31835163,31841328,31941674,31950491,32204930,32433071,32858088,32954303,33076298,33196514,33217751,33428219,33579825,33598911,33652278,34044892,34270391,34329789,34529042,34711340,34719431,34755095,34798151,35151025,35219543,35416139,35420392,35511530,35577503,35582378,35601663,35708183,35818480,35821494,35943116,35970311,36100191,36114828,36159794,36346012,36711530,36830882,36846363,36930088,36965349,37054178,37153874,37294845,37363991,37590591,37932791,38119583,38158859,38392079,38479943,38645916,38809883,38826651,39107690,39109031,39308471,39428711,39500903,39781168,39847941,39894376,40295790,40333871,40384871,40458971,40548063,40830815,40854383,41037951,41318738,41546349,41640445,41653608,41706114,41753068,41898983,42181230,42229631,42309911,42380999,42613836,42692330,42728738,42982176,43351103,44053836,44074391,44361191,44398625,44684571,44753814,44781851,44878514,44881173,44976191,44993312,45127415,45308219,45847463,46207634,46293071,46518698,46611131,46726634,46860309,46876082,46881772,46929228,47088651,47173631,47277131,47381003,47438025,47453930,47706191,47805663,48039383,48057719,48354948,48413805,48446951,48499058,48635560,48974843,48996978,49259948,49471131,49653071,49754279,49968534,50104151,50215682,50215750,50230312,50254943,50600560,50617476,50969618,51011690,51193545,51230796,51496571,51641392,51656114,52174523,52349015,52536063,52668002,52703591,52749674,52934540,53150903,53161211,53278350,53377130,53787218,54152898,54453215,54546911,54601898,54606448,54715005,54735611,55121099,55284239,55332831,55418459,55442690,55478111,55880018,55991423,56027163,56178716,56326730,56509101,56830240,56925630,56944716,57150839,57709403,57778631,57784552,57798530,58049519,58096566,58137836,58362672,58424236,58591005,58694114,58740623,58947842,58970858,59316914,59486350,59647240,59668252,59778338,59855690,60152331,60168983,60208082,60216332,60258900,60297095,60442730,60507551,60644661,60720672,60872834,61170683,61214028,61432254,61726703,61788812,62188671,62210459,62497072,62818818,62914379,63169883,63312411,63373130,63521448,63598151,63934020,64052556,64098911,64193954,64266263,64276160,64428095,64768732,65007621,65034311,65040232,65106218,65134511,65343858,65543691,65561531,65658006,65823791,66010994,66108143,66184514,66278783,66288911,66428258,66476519,66531228,66587330,66651231,66754331,66847682,66889415,66928065,66973960,67103145,67151483,67162178,67313163,67315948,67592076,67689554,67746791,67759439,67973151,68002216,68196288,68210831,68284274,68310756,68514239,68531858,68539751,68627690,69209930,69358236,69840443,69861148,69994151,70115714,70122983,70159071,70309206,70537931,71027391,71145698,71383620,71389936,71461629,71505371,71515583,71576688,71614619,71826828,71847023,71887165,72046871,72177815,72196025,72271103,72310172,72310680,72356514,72531276,72584699,72813740,72875517,73170261,73397451,73566530,74195702,74217371,74222111,75000215,75047483,75095276,75345705,75470351,75547778,75636071,75949403,76047756,76113554,76142528,76307762,76502493,76615931,76720824,76915754,77005415,77131392,77245211,77313714,77390025,77398811,77429631,77484652,77575658,77591183,77651423,77985383,78022898,78193730,78204215,78207818,78370972,78376151,78816671,79293482,79734791,79904796,80082093,80143563,80157479,80263931,80267298,80313678,80368752,80523774,80733554,80988815,81349515,81795531,81930551,82142018,82273516,82353228,82549360,82556908,82572095,83051916,83231999,83637471,83907453,83966252,84028274,84210791,84347831,84653211,84738779,84750962,84787058,84980500,85090012,85240360,85255691,85258658,85404623,85660344,85663551,85674359,85773345,85955690,85990091,85991579,86224331,86264598,86310927,86365514,86613378,86635230,86772816,86787788,86998765,87301991,87376488,87386690,88279836,88300898,88402343,88497863,88802183,88842479,88860351,89552018,89791691,89914442,89929898,89947682,89995031,90000258,90048133,90091103,90150172,90186971,90242690,90348539,90414846,90789815,91345345,91367483,91442123,91491568,92043112,92281514,92337095,92403212,92406498,92410912,92526760,92584731,92778591,92868030,92868251,93093563,93259679,93659330,93751336,93832476,93845058,93878615,93886034,94301420,94334978,94380359,94396583,94620578,94654199,94660571,95158859,95274069,95335825,95348183,95363330,95469951,95692031,95728871,95895405,95930690,96165640,96367887,96540338,96610431,96781130,97103903,97186578,97619418,97703944,97725292,97749671,97913930,97956623,98298549,98298959,98477903,98576891,98871784,99059232,99086514,99169874,99258491,99495602,99527543,99799563,99801640,99889825,99947951,...,117655731973747788633913048306943997144376101612917680388569134496815423556787237924000729804391058116449873163133329783081072093767060515300625016267132026172658891419921357876726606432201818262852235088801975728312731191665285764493369755705204910827901185307503738295712851602684322323916165334190403507037428329294168641610933664043664804975369810852926274816538616218133627420845410317577171305966074939183912541199739596116511578457334350482478869611262962087725486353384945395935950924245642358018066796430824946909170238755592356843355184300638027470716183978662640223190264261541430296744716307172807958194610904400858899598354695621220439072499308507436480325225655198556018359751769376091067093023900240714603593182666181527666346542246272563370249523220733895212167425343570251845256545447869353914604744320101397482501211379137164150259441648964349233521956990469994099030050494206050782568443959669576534470607768809291175994648387823144080829073451480693369656312885123852817717638986723546459764747965874140836725052243454638770282498412899468658803475835964746595108789368786676509616565002946405446836824648189930798466624487202459394828169606627668821994791637657625740947974527097862809889192608204804514620295463064873814853689085661052348834511382345420284524747694356208654676416253662799657672340512443514040823013079802222766503399053168152876317876264961364008521182169763941724235767437548210051486563225404369196127903662873876943838579847110943265093671403280996889863975026870898519830990282584067395478965503576114749683690541992013356582153796129104640550413653611786942914225238258507104843536962355087471474030137905022768450860904949747130347221881594492815399919016139345584499061377951019936380516027440772311191784325193918457942974045406230082135006364931491709613226553363815463257923467129148127334421831522718271651308983095617192256567313095393503288448365652883342706243235607396090413476545557758659442440509697017538405012356460124072749570312880903590818835867734598375709839727876172532640955984125593818861310704385594504941825630554166858238016225283343023679713314602156770583278701533453465833376505932069843972280625809769257753225916980906099171976913383013453033466592448584368699752129418856663786852709361746952079387210105416576534555386376014871981173538475730899100238158349361412891354898345950529909952276846402173573118550497452523354710750675095336295245287003741601566360969503355493864709237940268}
15482  2278937741000991838199714833376630505183784011957288935520118781: {216622,309460,371352,402142,417771,478981,587518,663877,680548,896158,1051348,1142782,1265998,1624035,1635262,1675657,1732304,1933375,1948842,2065342,2314981,2320050,2433358,2474720,2496997,2739598,2784060,2950777,2969664,2984302,3014895,3167662,3215888,3222181,3289822,3340872,3402757,3571491,3617874,3673081,3758481,4021438,4251775,4301317,4568638,4569944,4629358,5102130,5114542,5141187,5296222,5303123,5330595,5442272,5538238,5685968,5840398,5900782,6122556,6164857,6212308,6340681,6396714,6443518,7180995,7285198,7476517,7575890,7659728,8004142,8541838,8617194,8668011,8899582,9091068,9114697,9136084,9316222,9370981,9404787,9796681,10028638,10274915,10561438,10822700,10856878,10876035,10954084,11062981,11196175,11269822,11314297,11446558,11601104,11679268,11740798,11975902,12147337,12329898,12478537,12621118,12667352,12870683,12987240,13051242,13056095,13383397,13435410,13497838,13852371,13853056,13905742,14022142,14102895,14250771,14331104,14610645,14678450,14764681,14775123,14925817,14964267,15043088,15166981,15287908,15327397,15461000,15466451,15584688,15594584,15645022,15667314,15727177,16122492,16163998,16624222,16751315,16864095,16923474,17151481,17393625,17532774,17542981,17543907,17614140,17655982,17884558,17988368,18109947,18226942,18386690,18553200,18788416,19096707,19161795,19224148,19240664,19364062,19534078,19535395,19702117,19790080,19968152,20101578,20212702,20236914,20384137,20439248,20610181,20720158,20760517,20872350,20872731,20945278,21001828,21136968,21450862,21582217,21619102,21645747,21787198,21899182,21938819,21952837,22064028,22094930,22263840,22290622,22315135,22321657,22373535,22464171,22734175,22962891,22994154,23217635,23290095,23344777,23404702,23442474,23706757,23748096,23779089,23793118,23865104,23930450,24066937,24125422,24138757,24183508,24236062,24320984,24496777,24639481,24842768,24953662,25046820,25118878,25887982,26036895,26173994,26266700,26513916,26700947,26716608,26763118,26778162,26848242,27035758,27253582,27281010,27336775,27361107,27525502,27691348,27772688,27861162,27867395,27910117,27948114,28338862,28585477,28716540,28717198,28750827,29099744,29471518,29793838,29847502,30056184,30276238,30438181,30476884,30597118,30630976,30810718,30869427,30992843,31170388,31214917,31244274,31279177,31341170,31396798,31449982,31520040,31766251,31858671,32171257,32313827,32486437,32737212,32804130,33038062,33168050,33421177,33440874,33621376,33680984,33813207,33928271,33931582,34051611,34096357,34227175,34339717,34396952,34459848,34702597,34808522,34907579,34964068,34991072,35028958,35081038,35237182,35460045,35650084,35808478,36429502,36446907,36945262,37048222,37101935,37170181,37391420,37408078,37562062,37609404,37824048,37891107,37908217,38020681,38144210,38344035,38382628,38467657,38696571,38737822,38767329,39129481,39364956,39369148,39398638,39564937,39652078,39801660,39942181,40006222,40157758,40368997,40611502,40712158,40814744,40843657,40900304,41072610,41214478,41291427,41364217,41465038,41515102,41947763,42030181,42182137,42283081,42433957,42446884,42455104,42552054,42556115,43129477,43158238,43389175,43405678,43603342,43810784,43899358,43907077,43951523,44275490,44336377,44342302,44356247,44440558,44522322,44587822,44773100,44798548,44869704,44928895,44930878,45085177,45143535,45186218,45406981,45432515,45730371,45773052,45916587,46012842,46162610,46658917,46827838,46876537,47049337,47358478,47406622,47468884,47602981,47687077,47761992,47780642,47912511,48133588,48153104,48270478,48307395,48512197,48843502,48913957,48938782,48986398,49128484,49271758,49287132,49509118,49614447,49726460,49794771,49867970,49982638,50000581,50120788,50188681,50360302,50374981,50478417,50561483,50689918,50830942,50850937,51030757,51067338,51346798,51454981,51527888,51768868,51793563,51907342,52067010,52138981,52191335,52239097,52535557,53016697,53130588,53267295,53359237,53373567,53512057,53727720,53732241,53759182,53914674,53988862,54064084,54076357,54172242,54172318,54239691,54309742,54503497,54519018,54584158,54642277,54684938,54717268,54812398,55067295,55246323,55257481,55358542,55395132,55437157,55494718,55538144,55563337,55581267,55608152,55730811,55761481,55766638,55811902,55931077,55955017,56173438,56236681,56241640,56305477,56350981,56418697,56463481,56488942,56818448,56910203,57039877,57117598,57160837,57162382,57200581,57309568,57337417,57386062,57417074,57432997,57545317,57849481,57968874,58051657,58068037,58305097,58335481,58511737,58602215,58661535,58664197,58719742,58738448,58756681,58795237,58845637,58896478,58966597,59024377,59113081,59186917,59293198,59314681,59430277,59501939,59548537,59556958,59579428,59644297,59650597,59671752,59746681,59801977,59841564,59859577,59886217,59904037,59922757,59923081,60443685,60475582,60562702,60794450,60823678,61343902,61574935,61978107,62162878,62291662,62377438,62466194,62480412,62559171,62572304,62629602,62784868,62787890,63146542,63250700,63271845,63571582,63740884,63783502,63920754,64038495,64093107,64332622,64416862,64473264,64551740,65329304,65339278,65714398,65961508,66080754,66088222,66168175,66624712,66790798,67130721,67317771,67489968,68141422,68182078,68258060,68307728,68387891,68425678,68789998,68991838,69311451,69778047,69835198,70048084,70089951,70223395,70314123,70322658,70353742,70393842,70552462,70829998,70988522,71037800,71180895,71657902,71853982,72203864,72205918,72230690,72532422,72556558,72672295,72748587,72905902,72953340,73022062,73030295,73485262,73495467,73715998,73777108,73889922,73984462,74175742,74290318,74559050,74585315,74702884,74898958,74952801,75064418,75270415,75315022,75323523,75323625,75345468,75607727,75900840,75926214,75926288,76141342,76365358,76454427,76517535,76551598,76846194,77236015,77439982,77462088,77484171,77816896,78121340,78428398,78646462,78900142,79002003,79116958,79124511,79401810,79548862,79917525,80055122,80065695,80203108,80345200,80537723,80680827,80724718,80795422,80859548,80936638,80960896,80960915,81229347,81300290,81463918,81618704,81638878,81673822,81902847,81909672,82032419,82265422,82918228,83164035,83332318,83717450,83758424,83820027,83843038,84046318,84144935,84268074,84316462,84416548,84490095,84518398,84551998,84652702,84695264,84820222,85002770,85054078,85245360,85253902,85388445,85403408,85417074,85419982,85490951,85750942,85816942,86506078,86512811,86676828,86697795,86734222,87026398,87123502,87125144,87144849,87188158,87206754,87326435,87391588,87544008,87636354,87640787,87653731,88041171,88146947,88150318,88421763,88436158,88456287,88708304,88815262,88868308,88975371,89129422,89229525,89237420,89470860,89502378,89504302,89667507,89750884,89752942,89783535,90122768,90312123,90324498,90387715,90388350,90630868,90664095,90767758,90798238,90928384,91017175,91081008,91309251,91675198,91821042,92034142,92148381,92477648,92683218,92686222,93475918,93545428,93707662,93736558,93745608,93869095,94168078,94228227,94675499,94703188,94766158,95020318,95059695,95160958,95178160,95282172,95329198,95435584,95769104,95901030,95913502,96078834,96290931,96414240,96475352,96708368,96817438,96855815,97006942,97153098,97167356,97463902,97560348,97624078,97659327,97783678,97810222,97863268,97963715,98015787,98487009,98729182,98910622,99016491,99117022,99276771,99441251,99642387,99796842,99880995,99982798,...,176483597960621682950869572460415995716564152419376520582853701745223135335180856886001094706586587174674809744699994674621608140650590772950937524400698039258988337129882036815089909648302727394278352633202963592469096787497928646740054633557807366241851777961255607443569277404026483485874248001285605260556142493941252962416400496065497207463054716279389412224807924327200441131268115476365756958949112408775868811799609394174767367686001525723718304416894443131588229530077418093903926386368463537027100194646237420363755358133388535265032776450957041206074275967993960334785396392312145445117074460759211937291916356601288349397532043431830658608748962761154720487838482797834027539627654064136600639535850361071905389773999272291499519813369408845055374284831100842818251138015355377767884818171804030871907116480152096223751817068705746225389162473446523850282935485704991148545075741309076173852665939504364801705911653213936763991972581734716121243610177221040054484469327685779226576458480085319689647121948811211255087578365181958155423747619349202988205213753947119892663184053180014764424847504419608170255236972284896197699936730803689092242254409941503232992187456486438611421961790646794214833788912307206771930443194597310722280533628491578523251767073518130426787121541534312982014624380494199486508510768665271061234519619703334149755098579752229314476814397442046012781773254645912586353651156322315077229844838106553794191855494310815415757869770666414897640507104921495334795962540306347779746485423876101093218448255364172124525535812988020034873230694193656960825620480417680414371337857387760657265305443532631207211045206857534152676291357424620695520832822391739223099878524209018376748592066926529904570774041161158466787676487790877686914461068109345123202509547397237564419839830045723194886885200693722191001632747284077407476963474643425788384850969643090254932672548479325014059364853411094135620214818336637989163660764545526307607518534690186109124355469321355386228253801601897563564759591814258798961433976188390728291966056578391757412738445831250287357024337925014535519569971903235155874918052300180198750064758898104765958420938714653886629838875471359148757965370074520179550199888672876553049628194128284995680279064042620428119080815158124864801833079564022307971760307713596348650357237524042119337032347518925794864928415269603260359677825746178785032066126012643004442867930505612402349541454255033240797063856910402}
15483  2289085360787650446000314281157343926543006163820417796012000570: {324933,386825,464190,495136,557028,603213,850685,881277,1020822,1314185,1344237,1515766,1577022,1714173,1870781,1898997,2165380,2452893,2598456,2813902,2923263,3093400,3098013,3480075,3650037,3712080,3816397,3959552,3998701,4019860,4109397,4176090,4454496,4476453,4751493,4761988,4823832,4926317,4934733,4975222,5011308,5426811,5712430,6032157,6038213,6221917,6458518,6702262,6802840,6829342,6852957,6854916,6944037,7107460,7653195,7671813,7765385,7944333,8163408,8307357,8528952,8623693,8760597,8851173,9183834,9318462,9574660,9595071,9665277,10003037,10150966,10529398,10845181,10927797,11083933,11149846,11363835,11420105,11489592,11557348,11641006,12006213,12028181,12121424,12539716,12812757,12925791,13162702,13349373,13493686,13528375,13636602,13645261,13692605,13704126,13887113,13974333,14501380,14593942,14599085,15042957,15059957,15739822,15806557,15834190,15842157,16234050,16285317,16431126,16439864,16445182,16661453,16835581,16904733,17169837,17316320,17401656,17472133,17518902,17611197,17884342,17913880,17963853,18326057,18469828,18494847,18803860,18931677,19001028,19091237,19109885,19326250,19385353,19407166,19480860,19493230,19576863,19700164,19952356,20153115,20246757,20779584,20858613,20881966,20889752,20899157,21033213,21280861,21347317,21496656,21705413,21737422,21766537,21998902,22017675,22485460,22564632,22931862,23191500,23265401,23377032,23391876,23467533,23485520,23500971,23671337,24030185,24050830,24146596,24183738,24245997,24301102,24737600,24936333,24960190,25385211,25462276,25549060,25889081,26252285,26299161,26421210,26483973,26749558,26802104,26826837,26828542,26982552,27340413,27580035,27703117,27829800,27830308,27938021,28182624,28836222,28860996,29046093,29104381,29113997,29301117,29354693,29418704,29470861,29685120,29831380,29952228,30061477,30071197,30097333,30152367,30229385,30319053,30355371,30401230,30617188,30658872,31053460,31080237,31253833,31256632,31308525,31417917,31502742,31664128,31673597,31705452,32176293,32428653,32435533,32680797,32805982,32833375,32848773,33096042,33142395,33395760,33435933,34491231,34614185,34715860,35107053,35163711,35351888,35357422,35622144,35678957,35689677,35699518,35701241,35704216,35712901,35787766,35797656,35895675,35975017,36188133,36275262,36354093,36374680,36481476,36835678,37148216,37211477,37264152,37430493,37570230,37648477,37678317,38096105,38200462,38288720,38319053,38329993,38334436,38831973,38962985,39260991,39400050,39506077,39770874,40047557,40074912,40144677,40167243,40272363,40553637,40880373,40921515,41159236,41288253,41522473,41524918,41537022,41659032,41791743,41855437,41922171,42026720,42101230,42133966,42478228,42508293,42640421,42734302,42996190,43074810,43075797,43193993,43433861,43527406,43649616,43705085,43738840,43932997,44207277,44289613,44562605,44587832,44690757,44771253,45084276,45086902,45372457,45402148,45414357,45660781,45715326,45895677,45946464,46179766,46186277,46216077,46518341,46739275,46755582,46866411,46882198,47011755,47095197,47174973,47280060,47435062,47978285,48595876,48657133,49005982,49009357,49105818,49206195,49211435,49557093,49716142,49752075,50145872,50161311,50432064,50521476,50889718,50897373,51018430,51125380,51135881,51396142,51595428,51689772,51865781,51991486,52181317,52212783,52266677,52446102,52486608,52543437,52621557,52855773,52891102,53058605,53068880,53475126,53546077,53712717,53794222,54453358,54609022,54644253,54709993,54750766,54763480,54890902,55055236,55087561,55399006,55417893,55572333,55872973,55966375,55998185,55998757,56087130,56112117,56300278,56343093,56414106,56736072,57158281,57163141,57216315,57573942,57795917,58106733,58296623,58955518,59047434,59053722,59097957,59336105,59345806,59363096,59478117,59702490,59769262,59826272,60009333,60115126,60166985,60191380,60236637,60337913,60363502,60826973,60880798,60917253,60973828,61030736,61068237,61222116,61350456,61410605,61608915,61821717,61867301,62158075,62197557,62210422,62272653,62650985,63178381,63670326,63682656,63828081,63883348,63900982,64409860,64540157,64576117,64711085,64737357,64866142,65108517,65143117,65405013,65716176,65849037,65908606,65983717,66152596,66393028,66413235,66435502,66513453,66660837,66783483,66856438,66881733,67076717,67159650,67197822,67304556,67396317,67580105,67779327,68089784,68349097,68396585,68540782,68603977,68659578,68901661,69019263,69058084,69156653,69243915,69379277,69422680,69438862,69510190,69596302,70241757,70302050,70439086,70832278,70840784,71019257,71023060,71037717,71109933,71155006,71164756,71203326,71416366,71636960,71642988,71670963,71856397,71886232,71940622,71983981,72200382,72229656,72319588,72405717,72692024,73265253,73288621,73408173,73423060,73479597,73661764,73692726,73860176,73907637,73930698,74034941,74108356,74263677,74307748,74353357,74474285,74589690,74727982,74801955,74973957,75181182,75540453,75576713,75865582,76034877,76234501,76239166,76246413,76317718,76601007,76784158,76959886,77020197,77089541,77255317,77291832,77619766,77653302,77791753,77861013,78100515,78215380,78218062,78228757,78481085,78616942,78723901,78857422,79001806,79063375,79531493,79562336,79676105,79695882,79788752,79929181,80079337,80591580,80638773,80667742,80689675,80769742,80872011,80917942,80983293,81096126,81258363,81258477,81464613,81601493,81637961,81661630,81708766,81778527,81876237,82027407,82056137,82075902,82218597,82451885,82637476,82823477,83037813,83092698,83242077,83280890,83307216,83412228,83506136,83624293,83649957,83717853,83797966,84260157,84362460,84415933,84459262,84541757,84619822,84733413,84761998,85227672,85322575,85384660,85457476,85676397,85684181,85685581,85743573,85781917,85964352,86079093,86125611,86702206,86953311,87560105,88079613,88107672,88148782,88344717,88413877,88722382,88797250,88813801,88939797,89192233,89335437,89369142,89507628,89563702,89757028,89762346,89952382,89986624,90199333,90254830,90333797,90616438,90713373,90844053,91191675,91235517,91294597,91694926,92015853,92198021,92221385,92415268,92586142,93037396,93222262,93244317,93378605,93437493,93453268,93566157,93645181,93699291,93720618,93752164,93763544,93858456,93944403,94177302,94181835,94347262,94554262,94719813,94762006,94857373,94876050,94907860,95357373,95412382,95611326,95675253,95881131,96078766,96115438,96249277,96498933,96625293,96709896,96827610,96893902,96998116,97055717,97271120,97651675,97949686,97993956,98008917,98205413,98510261,98519896,98571597,98942262,99121131,99132333,99271477,99306142,99508558,99558181,99691381,99704201,99937068,...,264725396940932524426304358690623993574846228629064780874280552617834703002771285329001642059879880762012214617049992011932412210975886159426406286601047058888482505694823055222634864472454091091417528949804445388703645181246892970110081950336711049362777666941883411165353916106039725228811372001928407890834213740911879443624600744098245811194582074419084118337211886490800661696902173214548635438423668613163803217699414091262151051529002288585577456625341664697382344295116127140855889579552695305540650291969356130545633037200082802897549164676435561809111413951990940502178094588468218167675611691138817905937874534901932524096298065147745987913123444141732080731757724196751041309441481096204900959303775541607858084660998908437249279720054113267583061427246651264227376707023033066651827227257706046307860674720228144335627725603058619338083743710169785775424403228557486722817613611963614260778998909256547202558867479820905145987958872602074181865415265831560081726703991528668839864687720127979534470682923216816882631367547772937233135621429023804482307820630920679838994776079770022146637271256629412255382855458427344296549905096205533638363381614912254849488281184729657917132942685970191322250683368460810157895664791895966083420800442737367784877650610277195640180682312301469473021936570741299229762766152997906591851779429555001224632647869628343971715221596163069019172659881968868879530476734483472615844767257159830691287783241466223123636804655999622346460760657382243002193943810459521669619728135814151639827672383046258186788303719482030052309846041290485441238430720626520621557006786081640985897958165298946810816567810286301229014437036136931043281249233587608834649817786313527565122888100389794856856161061741737700181514731686316530371691602164017684803764321095856346629759745068584792330327801040583286502449120926116111215445211965138682577276454464635382399008822718987521089047280116641203430322227504956983745491146818289461411277802035279163686533203982033079342380702402846345347139387721388198442150964282586092437949084867587636119107668746875431035536506887521803279354957854852733812377078450270298125097138347157148937631408071980829944758313207038723136948055111780269325299833009314829574442291192427493520418596063930642178621222737187297202749619346033461957640461570394522975535856286063179005548521278388692297392622904404890539516738619268177548099189018964506664301895758418603524312181382549861195595785365603}
15484  2299277808038296844417320862559289181305382050408622904514605019: {170203,262939,355603,433244,618920,633163,696285,742704,804284,835542,957962,1094323,1175036,1278283,1327754,1361096,1531233,1553683,1645339,1792316,2102696,2273649,2285564,2365533,2531996,2706725,3011539,3248070,3270524,3351314,3464608,3823483,3866750,3897684,3913339,4130684,4220853,4629962,4640100,4718803,4866716,4949440,4993994,5024825,5252539,5341243,5479196,5568120,5783683,5901554,5939328,5952485,5968604,6029790,6048283,6264135,6335324,6431776,6444362,6487843,6579644,6681744,6805514,7012939,7142982,7235748,7346162,7462833,7516962,8042876,8503550,8568645,8602634,8744539,8830363,8884325,9137276,9139888,9172939,9258716,9514363,9684643,9687777,10053393,10204260,10229084,10244013,10282374,10362883,10592444,10606246,10661190,10884544,10952563,11076476,11204203,11371936,11680796,11801564,11968325,12121339,12245112,12329714,12424616,12535339,12617923,12681362,12793428,12887036,13684963,13766539,13775751,13977693,14361990,14384881,14446685,14570396,14953034,15151780,15226449,15302803,15319456,15674645,15782539,15794097,16008284,16655323,16724769,16891843,17083676,17234388,17336022,17461509,17799164,18126725,18142339,18182136,18229394,18272168,18278533,18529339,18632444,18741962,18809574,19593362,19744053,20057276,20059339,20135083,20240529,20361883,20454903,20549830,20556189,20565281,20813539,21122876,21634843,21645400,21713756,21752070,21857323,21890913,21908168,22005283,22125962,22226683,22300339,22392350,22539644,22628594,22893116,23087285,23202208,23358536,23451841,23481596,23504825,23609733,23686123,23751285,23830483,23951804,24294674,24351075,24476539,24625205,24646689,24659796,24667773,24940445,24957074,25242236,25334704,25469923,25741366,25891339,25974480,26102484,26112190,26170843,26278353,26766794,26826513,26870820,26933539,26995676,27277339,27349553,27687523,27704742,27706112,27811484,27959539,28044284,28106825,28205790,28501542,28662208,28701643,28989375,29110749,29221290,29239845,29356900,29529362,29550246,29699563,29851634,29928534,29962939,30086176,30183245,30290539,30333962,30575816,30654794,30681283,30922000,30932902,30940339,31169376,31189168,31198243,31241189,31290044,31322949,31334628,31454354,31827845,31837963,31901539,31936325,32218339,32244984,32327996,32504689,32606133,32784043,32908963,32998353,33248444,33405763,33502630,33728190,33846948,34142323,34302962,34397793,34446163,34787250,34787885,34928563,35065548,35085962,35087814,35228280,35311964,35503457,35769116,35879539,35938363,35976736,36076245,36219894,36275607,36451653,36453884,36773380,37042339,37106400,37289225,37440285,37541933,37556203,37576832,38193414,38232283,38271485,38323590,38448296,38481328,38728124,38732539,38816825,39014353,39068156,39070790,39336043,39404234,39499123,39580160,39631815,39823339,39936304,40124337,40203156,40242813,40411003,40425404,40473828,40768274,40832923,40878496,41198323,41220362,41440316,41521034,41744700,41745462,41890556,42003656,42273936,42424339,42624643,42901724,42922939,42966737,43164434,43238204,43254333,43291494,43365523,43394825,43414339,43574396,43608883,43798364,43877638,43905674,44128056,44137939,44189860,44422843,44527680,44581244,44630270,44643314,44747070,44798683,44891923,44928342,45468350,45601845,45925782,45943483,45988308,46033123,46435270,46477003,46580190,46608763,46689554,46809404,46884948,46913683,47254113,47413514,47470603,47496192,47558178,47586236,47681563,47730208,47860900,47890723,47918045,48133874,48250844,48277514,48367016,48472124,48641968,48709363,48749539,48993554,49080581,49147339,49208973,49278962,49304443,49574629,49644063,49685536,49730539,49907324,50093640,50237756,50297539,50703043,50992483,51241963,51382939,51449045,51695923,51730339,51775964,51942709,52073790,52347988,52533400,52534723,52697083,53027832,53036133,53097785,53204539,53235643,53328523,53401894,53433216,53526236,53549277,53556324,53633443,53663539,53681649,53696484,53783203,53842603,53989843,54071516,54135283,54221683,54364243,54412893,54420763,54507164,54532939,54562020,54673550,54722214,54808339,55051004,55253517,55382696,55545376,55566283,55722324,55734790,55740163,55820234,55837939,55896228,55934563,56194339,56355345,56400403,56534539,56677724,56752685,56858539,56942203,57065539,57085843,57170954,57284923,57300693,57381763,57433080,57434396,57476803,57501654,57570043,57733339,57751123,57890803,57925003,58199488,58328203,58447723,58520083,58752643,58854883,58928539,58943036,59034163,59056843,59100075,59155339,59248003,59306539,59344123,59362483,59552923,59578561,59587676,59630539,59637163,59656311,59656603,59693539,59695004,59699443,59900539,59911339,59913283,59920339,59928763,59935963,59938339,60112368,60552476,60744845,60876362,60953768,61194236,61261952,61621436,61738854,61985686,62287377,62305533,62340776,62429834,62488548,62558354,62682340,62793596,62899964,62900453,63040080,63151845,63200949,63532502,63605521,63717342,63906725,64101453,64342514,64494285,64612215,64627654,64972874,65291109,65474424,65608260,66076124,66336100,66842354,66881748,67242752,67361968,67626414,67630353,67856542,67863164,68103222,68192714,68454350,68572989,68679434,68793904,68819045,68919696,69269649,69405194,69617044,69815158,69928136,69982144,70057916,70133373,70162076,70323297,70474364,70920090,71152593,71300168,71616956,72859004,72893814,73067869,73508973,73658727,73890524,74096444,74203870,74340362,74574213,74782840,74816156,75124124,75218808,75239225,75648096,75782214,75816434,76041362,76217285,76288420,76334577,76527645,76688070,76765256,76935314,77094213,77393142,77475644,77534658,77987229,78258962,78669153,78729912,78738296,78797276,79129874,79304156,79336653,79603320,79854185,79884362,80012444,80212689,80315516,80512325,80691333,80737994,80822053,81223004,81424316,81629488,81680037,81687314,81800608,81913533,82043101,82126149,82145220,82336353,82428956,82582854,82690745,82728434,82930076,82991285,83030204,83098509,83660621,83895526,84060362,84130695,84364274,84450417,84566162,84621159,84867914,84893768,84910208,85104108,85112230,86204909,86258954,86316476,86322605,86360913,86778350,86811356,87206684,87621568,87798716,87814154,87903046,88433277,88550980,88571151,88580583,88672754,88684604,88712494,88778825,88881116,88955945,89018709,89044644,89175644,89546200,89553735,89597096,89653893,89739408,89769713,89857790,89861756,90170354,90172689,90287070,90372436,90399485,90545253,90813962,90865030,91321197,91460742,91546104,91778825,91833174,92025684,92077205,92325220,92635445,92884685,93315633,93317834,93655676,93753074,94098674,94716956,94813244,94937768,95205962,95374154,95505489,95523984,95561284,95825022,95851473,96267176,96306208,96540956,96614790,97024394,97299213,97687004,97769225,97827914,97877564,97972796,98256968,98312753,98543516,98574264,98862909,99018236,99228894,99452920,99589542,99653253,99735940,99965276,...,352967195921243365901739144920831991433128304838753041165707403490446270670361713772002189413173174349349619489399989349243216281301181545901875048801396078517976674259764073630179819296605454788556705266405927184938193574995857293480109267115614732483703555922511214887138554808052966971748496002571210521112284987882505924832800992130994414926109432558778824449615848654400882262536230952731513917898224817551737623599218788349534735372003051447436608833788886263176459060154836187807852772736927074054200389292474840727510716266777070530065552901914082412148551935987920669570792784624290890234148921518423874583832713202576698795064086863661317217497925522309440975676965595668055079255308128273201279071700722143810779547998544582999039626738817690110748569662201685636502276030710755535769636343608061743814232960304192447503634137411492450778324946893047700565870971409982297090151482618152347705331879008729603411823306427873527983945163469432242487220354442080108968938655371558453152916960170639379294243897622422510175156730363916310847495238698405976410427507894239785326368106360029528849695008839216340510473944569792395399873461607378184484508819883006465984374912972877222843923581293588429667577824614413543860886389194621444561067256983157046503534147036260853574243083068625964029248760988398973017021537330542122469039239406668299510197159504458628953628794884092025563546509291825172707302312644630154459689676213107588383710988621630831515739541332829795281014209842990669591925080612695559492970847752202186436896510728344249051071625976040069746461388387313921651240960835360828742675714775521314530610887065262414422090413715068305352582714849241391041665644783478446199757048418036753497184133853059809141548082322316933575352975581755373828922136218690246405019094794475128839679660091446389773770401387444382003265494568154814953926949286851576769701939286180509865345096958650028118729706822188271240429636673275978327321529091052615215037069380372218248710938642710772456507603203795127129519183628517597922867952376781456583932113156783514825476891662500574714048675850029071039139943806470311749836104600360397500129517796209531916841877429307773259677750942718297515930740149040359100399777345753106099256388256569991360558128085240856238161630316249729603666159128044615943520615427192697300714475048084238674064695037851589729856830539206520719355651492357570064132252025286008885735861011224804699082908510066481594127713820804}
15485  2309515279210434473585644410135418163531716017040783382827929206: {541555,649866,773650,928380,990272,1005355,1114056,1190959,1206426,1253313,1436943,1468795,1701370,1762554,1839859,1991631,2041644,2210923,2240395,2628370,2688474,2856955,3031532,3154044,3164995,3428346,3741562,3797994,3909103,4088155,4330760,4465339,4872105,4905786,5026971,5163355,5196912,5266063,5627804,5800125,5822011,5846526,6083395,6186800,6196026,6748591,6848995,6944943,6960150,7300074,7424160,7460755,7490991,7611427,7632794,7919104,7919155,7975759,7997402,8039720,8167231,8218794,8224555,8352180,8852331,8908992,8952906,9044685,9502986,9523976,9647664,9666543,9852634,9869466,9950444,10022616,10053595,10208271,10342123,10714473,10752619,10853622,10871539,11019243,11275443,11421595,11424860,11573395,11821771,12064314,12076426,12367003,12443834,12755325,12786355,12903951,12917036,12974107,13240555,13404524,13605680,13658684,13705914,13709832,13845595,13888074,14051983,14214920,14215123,14600995,14751955,15306390,15343626,15423561,15520891,15530770,15888666,15909369,15988147,15991785,16108795,16326816,16407259,16614714,17057904,17079403,17247386,17521194,17541739,17702346,17798131,18212995,18367668,18494571,18636924,18939725,19022043,19093723,19149320,19169647,19190142,19220011,19330554,19589923,20006074,20010355,20301932,20438719,21058796,21354595,21542985,21607603,21690362,21855594,22167866,22248955,22299692,22429551,22562371,22727670,22840210,22979184,23114696,23282012,23290555,24012426,24056362,24242848,24258991,25071595,25079432,25133503,25303843,25625514,25851582,26002507,26004033,26325404,26403595,26698746,26753839,26782339,26987372,27056750,27142195,27151963,27273204,27290522,27344091,27385210,27408252,27774226,27941659,27948666,27950911,28112943,28118959,28174555,28214361,28460227,28616395,29002760,29187884,29198170,29351995,29390043,29939755,30085914,30119914,30824745,31224847,31468531,31479644,31552795,31613114,31668380,31684314,32468100,32565811,32570634,32628105,32862252,32879728,32890364,33105259,33188943,33322906,33444643,33588525,33642259,33671162,33744595,33809466,33857983,33942891,33998719,34339674,34407451,34632640,34764355,34803312,34944266,35037804,35055355,35222394,35228707,35425423,35683603,35705899,35768684,35827760,35927706,36222427,36385471,36442011,36652114,36696125,36753199,36939656,36989694,37002811,37435611,37607720,37863354,38002056,38182474,38219770,38472883,38612049,38652500,38770706,38803027,38814332,38961720,38986460,39026671,39062683,39112555,39153726,39168285,39400328,39892051,39901387,39904712,40150191,40306230,40382683,40395379,40409995,40493514,41557113,41559168,41560555,41717226,41763932,41779504,41798314,42066426,42240619,42308685,42321139,42561722,42694634,42752313,42993312,43018459,43204867,43410826,43474844,43533074,43831935,43997804,44035350,44085859,44139955,44294043,44325369,44711395,44750803,44777451,44892801,44970920,45129264,45500943,45567355,45863724,45966725,45982191,46192303,46383000,46399353,46524427,46530802,46754064,46783752,46935066,46961563,46971040,47001942,47038099,47181531,47328931,47342674,47627947,48060370,48071371,48101660,48293192,48367476,48410155,48459859,48491994,48543727,48602204,48835195,49475200,49604419,49872666,49920380,50253945,50531755,50577187,50592285,50770422,50924552,51098120,51142579,51454443,51655027,51778162,51800395,51991087,52180875,52199323,52273483,52363195,52477651,52504570,52598322,52628943,52631721,52842420,52967946,53334547,53499116,53604208,53627155,53653674,53657084,53965104,54047755,54329841,54467995,54548179,54680826,54747955,54816271,55160070,55237325,55406234,55659600,55660616,55726555,55876042,56112859,56365248,56456707,57027967,57151867,57290121,57355951,57485385,57672444,57721992,57803443,58092186,58208762,58227994,58511755,58602234,58606185,58709386,58714843,58815019,58837408,58941722,59106351,59370240,59423971,59482795,59662760,59826125,59904456,60122954,60142394,60194666,60304734,60313555,60458770,60590155,60638106,60710742,60714127,60802460,60834931,60862387,60986959,61152411,61187119,61234376,61295923,61317744,61830543,61959403,62106920,62160474,62281551,62384155,62385019,62387647,62507666,62513264,62617050,62618193,62797195,62835834,63005484,63328256,63347194,63410904,63578383,64204867,64352586,64719955,64746651,64857306,64871066,64930939,64937241,65361594,65434985,65611964,65666750,65697546,65816457,65841259,65858511,66141547,66192084,66284790,66487003,66791520,66871866,66907795,66945405,66964971,67085503,67120605,67169599,67392513,67436491,67520251,67589395,67779091,68133955,68202525,68813755,68888673,68896009,68982462,69145807,69228370,69431720,69505027,69652905,69656347,69710443,69858751,69870285,70034331,70214106,70327422,70703776,70714844,70847155,71028523,71120271,71244288,71337267,71357914,71379354,71399036,71402482,71408432,71425802,71575532,71595312,71791350,71792995,71950034,72200811,72376266,72416271,72548299,72550524,72708186,72749360,72962952,73246063,73490331,73671356,73678795,73918443,74044627,74282047,74296432,74422954,74483611,74484595,74528304,74618755,74860986,75140460,75296954,75356634,75490459,75690595,76130923,76192210,76274731,76400924,76492795,76577440,76638106,76659986,76668872,77026795,77099599,77663946,77925970,78110685,78352925,78397459,78491995,78521982,78530467,78624955,78800100,79012154,79125259,79140799,79302907,79541748,80095114,80102841,80149824,80232211,80289354,80334486,80544726,80923183,81107274,81760746,81843030,81993691,82010325,82066843,82083321,82246123,82318472,82576506,82595155,82920125,83044946,83049836,83070547,83074044,83318064,83583486,83602185,83681011,83710874,83730351,83844342,84053440,84202460,84233779,84267932,84343387,84468091,84828955,84956456,85016586,85175899,85280842,85427011,85468604,85756431,85974847,85979419,85992380,86013103,86149620,86151594,86252481,86387986,86685499,86867722,87021305,87054812,87174667,87299232,87410170,87477680,87572395,87702595,87711379,87727867,87865994,88092955,88414554,88579226,89125210,89175664,89198779,89381514,89521195,89542506,90168552,90173804,90345583,90372223,90595519,90744914,90804296,90828714,91073755,91242427,91314543,91321562,91406827,91430652,91745491,91791354,91892928,91938751,92359532,92363155,92372554,92432154,92608281,92620555,92878411,92978529,93036682,93478550,93511164,93520195,93644751,93732822,93764396,93837531,93905155,93999091,94023510,94190394,94215139,94245199,94349946,94551259,94560120,94612147,94870124,95298753,95360525,95576013,95755219,95956570,96125359,96513771,96708847,96844555,96941481,97191752,97314266,97459311,97882291,98011964,98018714,98211636,98402419,98412390,98422870,98496595,98511811,99114186,99130195,99266959,99432284,99504150,99948367,...,529450793881865048852608717381247987149692457258129561748561105235669406005542570658003284119759761524024429234099984023864824421951772318852812573202094117776965011389646110445269728944908182182835057899608890777407290362493785940220163900673422098725555333883766822330707832212079450457622744003856815781668427481823758887249201488196491622389164148838168236674423772981601323393804346429097270876847337226327606435398828182524302103058004577171154913250683329394764688590232254281711779159105390611081300583938712261091266074400165605795098329352871123618222827903981881004356189176936436335351223382277635811875749069803865048192596130295491975826246888283464161463515448393502082618882962192409801918607551083215716169321997816874498559440108226535166122854493302528454753414046066133303654454515412092615721349440456288671255451206117238676167487420339571550848806457114973445635227223927228521557997818513094405117734959641810291975917745204148363730830531663120163453407983057337679729375440255959068941365846433633765262735095545874466271242858047608964615641261841359677989552159540044293274542513258824510765710916854688593099810192411067276726763229824509698976562369459315834265885371940382644501366736921620315791329583791932166841600885474735569755301220554391280361364624602938946043873141482598459525532305995813183703558859110002449265295739256687943430443192326138038345319763937737759060953468966945231689534514319661382575566482932446247273609311999244692921521314764486004387887620919043339239456271628303279655344766092516373576607438964060104619692082580970882476861441253041243114013572163281971795916330597893621633135620572602458028874072273862086562498467175217669299635572627055130245776200779589713712322123483475400363029463372633060743383204328035369607528642191712693259519490137169584660655602081166573004898241852232222430890423930277365154552908929270764798017645437975042178094560233282406860644455009913967490982293636578922822555604070558327373066407964066158684761404805692690694278775442776396884301928565172184875898169735175272238215337493750862071073013775043606558709915709705467624754156900540596250194276694314297875262816143961659889516626414077446273896110223560538650599666018629659148884582384854987040837192127861284357242445474374594405499238692066923915280923140789045951071712572126358011097042556777384594785245808809781079033477238536355096198378037929013328603791516837207048624362765099722391191570731206}
15486  2319797971615716343260806070395958877679687916096775384795854543: {201149,293873,340406,525878,664049,711206,725633,866488,910193,974799,1125149,1160475,1237840,1266326,1392570,1485408,1584449,1608568,1671084,1676093,1737149,1809639,1915924,1950593,2102813,2188646,2350072,2406653,2552055,2556566,2558273,2643831,2649149,2655508,2722192,2739953,3011933,3042113,3062466,3107366,3290678,3403649,3463793,3584632,3789415,3942555,4032711,4093373,4205392,4451549,4547298,4571128,4731066,4749149,5063992,5105213,5142519,5253233,5282813,5413450,5612343,5696991,5725553,6023078,6166493,6496140,6517949,6541048,6702628,6929216,7034755,7358679,7536449,7646966,7733500,7795368,7826678,8171633,8261368,8315453,8333479,8401649,8441706,8769789,8917313,9031553,9174173,9202673,9259924,9280200,9294039,9437606,9544049,9733432,9770993,9898880,9969149,9987988,10049650,10440225,10505078,10617473,10682486,10729793,10813949,10898033,10950111,10958392,11136240,11317373,11373149,11449191,11567366,11568113,11803108,11878656,11904970,11937208,11996103,12059580,12096566,12150653,12328191,12438055,12481949,12528270,12537053,12564593,12670648,12863552,12888724,12975686,13159288,13363488,13429359,13523453,13611028,13632413,13849949,14025878,14039873,14254479,14256449,14281075,14285964,14445533,14471496,14692324,14778951,14804199,14925666,15010433,15033924,15144413,15331649,15784733,16050173,16085752,16146295,16280433,16657649,16755655,17007100,17051549,17073355,17137290,17205268,17489078,17626013,17660726,17768650,18096471,18114639,18170753,18274552,18279776,18299933,18345878,18517432,18665751,18788993,19028726,19369286,19375554,19707713,20087453,20106786,20225359,20389949,20408520,20458168,20488026,20558871,20564748,20725766,20816513,20832111,20841533,21184888,21212492,21265649,21322380,21637949,21769088,21905126,21944503,21959153,22008449,22152952,22303553,22328093,22377149,22408406,22548593,22743872,22914653,22959585,23015439,23296155,23361592,23399933,23603128,23713649,23832999,23936650,24242678,24304423,24360893,24490224,24503933,24659428,24849232,24922071,25070678,25235846,25362724,25377415,25426673,25497149,25586856,25684733,25774072,25871079,26197949,26281791,26323495,26383613,26553519,26661149,26822513,26960513,27166973,27304253,27369926,27533078,27551502,27759773,27874615,27955386,27963713,27986333,28723980,28769762,28785213,28893370,28995831,29102515,29140792,29638013,29906068,29967473,29989373,30009111,30303560,30425693,30452898,30605606,30638912,30750833,31160093,31224449,31331549,31349290,31565078,31588194,31651649,31800413,32016568,32223293,32322199,32496449,32535543,32783391,32906755,33251799,33287153,33310646,33431549,33449538,33734215,33783686,33841949,34086653,34091505,34147649,34167352,34260315,34289693,34390913,34468776,34475287,34672044,34813853,34916623,34923018,35411933,35491133,35598328,35845949,36018639,36084543,36253450,36284678,36364272,36458788,36470333,36484855,36528449,36544336,36557066,36586493,36663773,36875633,37058678,37162973,37264888,37448513,37483924,37619148,37920413,38438271,38480093,38777373,38977649,39186724,39349555,39396893,39469373,39488106,39585475,39847793,40048119,40114552,40118678,40270166,40417649,40470653,40481058,40585125,40594049,40723766,40857149,40909806,40935783,40996733,41077815,41099660,41112378,41112955,41130562,41205149,41515613,41627078,41661339,41922999,41942513,41958631,42094973,42179393,42229949,42245752,42256543,42347633,42448193,42648449,42979649,43269686,43274993,43290800,43389149,43427512,43504140,43583933,43680893,43714646,43781826,43797255,43816336,44010566,44145473,44161373,44251924,44367739,44383133,44453366,44558983,44600678,44710855,44784700,44821949,45079288,45100733,45128871,45179871,45239153,45257188,45695873,45786232,45861533,45966449,46085873,46174570,46308413,46404416,46631549,46717072,46903682,46921949,46963192,47009650,47094653,47219466,47372246,47419671,47502570,47526471,47605853,47660966,47704049,47903608,47913149,48023933,48284993,48315625,48353213,48517915,48589348,48597149,48702150,48703039,48733075,48855951,48953078,49250410,49293378,49319592,49326449,49335546,49391549,49482353,49521149,49739633,49752413,49880890,49914148,49968449,49984359,50056733,50094449,50319233,50381213,50484472,50506743,50669408,50714199,50778871,50893949,50939846,51286913,51482732,51509511,51782678,51808733,51948960,51979073,52192253,52204915,52204968,52224380,52281149,52341686,52358513,52416399,52424513,52479293,52555649,52556706,52750193,52833591,52899713,53245949,53471933,53533588,53580079,53623793,53653026,53653949,53741640,53867078,53891559,53991352,54029693,54097649,54213233,54343555,54403313,54431549,54497153,54543773,54553073,54554678,54691613,54699106,54819293,54828353,54854767,54978171,54997255,55007873,55175453,55201649,55375046,55409484,55412224,55484541,55560833,55585949,55602653,55622968,55652573,55710449,55849373,55919078,55930013,55954049,56088568,56205953,56213650,56344049,56397053,56411580,56434673,56699633,56749949,56795031,56940353,57003084,57077633,57097949,57145073,57165149,57218333,57273711,57324416,57329655,57394049,57403286,57457649,57582449,57661853,57716033,57804893,57834113,57868913,57954653,57978750,58004323,58021949,58038593,58156059,58221498,58222193,58341149,58442580,58479690,58537949,58561649,58645313,58690673,58713800,58730589,58730813,58821953,58872449,58933949,59024753,59051549,59058724,59100492,59107649,59169053,59179649,59320433,59323613,59339393,59399126,59429873,59458433,59464049,59483453,59552093,59651549,59673149,59703268,59704049,59713949,59763953,59814173,59831549,59847773,59857068,59857949,59883293,59905649,59911613,59916413,59920193,59925878,59934449,59935553,59948573,59953793,60127075,60172352,60366490,60459345,60581078,60667924,60740271,60752755,61151632,61309588,61362566,61844000,61865804,61880678,62338752,62378336,62396486,62400475,62482378,62575839,62580088,62645898,62669256,62697471,62908708,63099639,63655690,63675926,63803078,63842583,63872650,64041951,64436678,64489968,64655992,65009378,65116239,65212266,65299611,65568086,65817926,65996706,66053025,66496888,66811526,66873895,67005260,67071355,67085263,67456380,67693896,68284646,68605924,68795586,68892326,69066679,69574500,69575770,69796203,69857126,70131096,70171924,70175628,70402599,70456560,70502913,70623928,71006914,71014011,71538232,71759078,71876726,71953472,72028663,72090555,72152490,72439788,72551214,72737991,72903306,72907768,73546760,74084678,74212800,74336899,74578450,74808999,74880570,75083866,75112406,75153664,76003075,76155633,76386828,76464566,76542970,76647180,76896592,76962656,77456248,77465078,77633650,77667243,78028706,78136312,78141580,78672086,78756855,78808468,78897483,78998246,79160320,79263630,79451919,79453759,79646678,79872608,80248674,80406312,80480511,80485626,80822006,80850808,80947656,81536548,81665846,81756992,82014955,82021239,82396646,82440724,82740105,82880632,83042068,83109351,83489400,83490924,83781112,83814063,84007312,84547872,84848678,85042783,85249286,85803448,85845878,85933474,86328868,86476408,86508666,86582988,86731046,86789650,86828678,87138279,87148792,87217766,87313143,87341991,87596728,87755276,87811348,87903351,88064079,88256112,88275878,88379720,88393555,88412583,88845686,89055360,89162488,89248795,89260540,89286628,89430319,89469415,89494140,89597366,89783846,89856684,90184431,90213591,90291999,90457101,90688155,90936700,90957159,91066113,91203690,91851564,91886966,91976616,92066246,92089195,92870540,92954006,93160380,93217526,93240711,93379108,93503047,93618808,93761499,93769896,93827366,93925575,94253751,94508226,94827028,94941206,94992384,95020791,95116356,95172472,95363126,95460416,95501155,95721800,95781446,95836090,96267748,96346663,96501688,96528879,96555028,96734032,96944248,97283936,97285959,97306599,97418726,97499078,97987108,98042391,98161162,98294678,98417946,98500125,98546319,98557924,98608886,98871643,99149258,99288126,99371072,99427185,99461078,99814648,...,794176190822797573278913076071871980724538685887194342622841657853504109008313855987004926179639642286036643851149976035797236632927658478279218859803141176665447517084469165667904593417362273274252586849413336166110935543740678910330245851010133148088333000825650233496061748318119175686434116005785223672502641222735638330873802232294737433583746223257252355011635659472401985090706519643645906315271005839491409653098242273786453154587006865756732369876024994092147032885348381422567668738658085916621950875908068391636899111600248408692647494029306685427334241855972821506534283765404654503026835073416453717813623604705797572288894195443237963739370332425196242195273172590253123928324443288614702877911326624823574253982996725311747839160162339802749184281739953792682130121069099199955481681773118138923582024160684433006883176809175858014251231130509357326273209685672460168452840835890842782336996727769641607676602439462715437963876617806222545596245797494680245180111974586006519594063160383938603412048769650450647894102643318811699406864287071413446923461892762039516984328239310066439911813769888236766148566375282032889649715288616600915090144844736764548464843554188973751398828057910573966752050105382430473686994375687898250262401328212103354632951830831586920542046936904408419065809712223897689288298458993719775555338288665003673897943608885031915145664788489207057517979645906606638591430203450417847534301771479492073863349724398669370910413967998867039382281972146729006581831431378565008859184407442454919483017149138774560364911158446090156929538123871456323715292161879561864671020358244922957693874495896840432449703430858903687043311108410793129843747700762826503949453358940582695368664301169384570568483185225213100544544195058949591115074806492053054411292963287569039889279235205754376990983403121749859507347362778348333646335635895416047731829363393906147197026468156962563267141840349923610290966682514870951236473440454868384233833406105837491059599611946099238027142107208539036041418163164164595326452892847758277313847254602762908357323006240626293106609520662565409838064873564558201437131235350810894375291415041471446812894224215942489834274939621116169410844165335340807975899499027944488723326873577282480561255788191791926535863668211561891608248858038100385872921384711183568926607568858189537016645563835166076892177868713214671618550215857804532644297567056893519992905687275255810572936544147649583586787356096809}
15487  2330126083423629177327173565537940438354646452747094589417828024: {510609,758177,788817,1066809,1083110,1299732,1407497,1547300,1856760,1899489,1980544,2010710,2056313,2088855,2228112,2381918,2394905,2412852,2506626,2612909,2873886,2937590,3136553,3282969,3319385,3402740,3525108,3679718,3834849,3983262,3999737,4083288,4421846,4430993,4480790,4593699,4619849,4661049,4936017,4990673,5256740,5376948,5713910,5723417,6063064,6223529,6283673,6308088,6329990,6820947,6856692,7096599,7228697,7483124,7595988,7818206,8120175,8136353,8176310,8378285,8506889,8516753,8661520,8930678,9034617,9425897,9588593,9666875,9744210,9811572,10053942,10326710,10393824,10445057,10532126,11086817,11255608,11277137,11470449,11514377,11574905,11600250,11644022,11693052,11740017,12017633,12166790,12222509,12373600,12392052,12484985,12662559,13128377,13497182,13697990,13868873,13889886,13920300,14075033,14156409,14600148,14615549,14753885,14848320,14921510,14981982,15074475,15222854,15265588,15757617,15838208,15838310,15951518,15990233,15994804,16023729,16079440,16110905,16202753,16334462,16437588,16449110,16606889,16704360,17013785,17351049,17417609,17704662,17817984,17857455,17900897,17905812,18089370,18144849,18365405,18536777,18792405,19005972,19047952,19295328,19333086,19383833,19390397,19463529,19605473,19705268,19738932,19900888,20045232,20107190,20184749,20416542,20441393,20545529,20652737,20670113,20684246,21038817,21100397,21258875,21428946,21442553,21505238,21506585,21707244,21743078,22038486,22388499,22550886,22552313,22565309,22843190,22849720,23146790,23643542,24128628,24152852,24734006,24887668,25350077,25498193,25510650,25572710,25705935,25807902,25834072,25841489,25948214,26233617,26455913,26481110,26491089,26515615,26652975,26809048,27211360,27317368,27411828,27419664,27456209,27518817,27691190,27776148,28014497,28103966,28429840,28430246,28463933,28476449,28543089,29053929,29063331,29201990,29503910,29896433,29904713,30160179,30612780,30687252,30732039,30824285,30847122,31041782,31061540,31088649,31148537,31228913,31703405,31777332,31808489,31818738,31976294,31983570,32217590,32606777,32653632,32814518,32857689,33229428,33231497,33441353,33598553,33612609,34115808,34158806,34494772,34811729,35042388,35076089,35083478,35100233,35404692,35596262,35904975,36227153,36364017,36390209,36425990,36735336,36965033,36989142,37273848,37382585,37606017,37658273,37853769,37879450,37999073,38044086,38134457,38187446,38298640,38339294,38380284,38440022,38661108,39124397,39179846,39323873,39444377,39554729,39906593,40012148,40020710,40062953,40349609,40483889,40603864,40870397,40877438,41054889,41092793,41299617,41327253,41533277,41866409,41915657,41933079,42117592,42415697,42709190,43085970,43154643,43210493,43215206,43340055,43368089,43380724,43711188,44173913,44301137,44335732,44497910,44599384,44859102,45124742,45455340,45573485,45679347,45680420,45908409,45958368,46011389,46164989,46184513,46229392,46311353,46564024,46581110,46854905,46933769,47023935,47044253,47242433,47295809,47347617,47382291,47724989,48024852,48112724,48409577,48485696,48517982,48518189,48670097,48983405,49077497,49700909,49965969,50123837,50143190,50158864,50174307,50267006,50583773,50607686,50675529,50839997,50912633,51251028,51374575,51661793,51703164,51997889,52005014,52008066,52384527,52571993,52650808,52807190,53182049,53397492,53507678,53564678,53974744,54113500,54284390,54303926,54380175,54427017,54546408,54581044,54688182,54734033,54757577,54770420,54816504,54823409,54835599,55273577,55314905,55440233,55500029,55548452,55588017,55883318,55897332,55901822,55980875,56120273,56225886,56237918,56349110,56428722,56464073,56571485,56573993,56920454,57035393,57159353,57232790,57359213,57732089,58005520,58184777,58375768,58396340,58703990,58780086,59232159,59333213,59431709,59879510,60171828,60178017,60239828,60350273,60405249,60721587,60722033,60736685,61042973,61085649,61364709,61649490,61668567,61690109,61695843,61750889,61795937,62392685,62440617,62449694,62595953,62772233,62937062,62959288,63105590,63226228,63336760,63368628,63794297,64353415,64904529,64936200,65059793,65131622,65141268,65256210,65280475,65571969,65672739,65724504,65734433,65759456,65780728,66015849,66210518,66315197,66377886,66645812,66680049,66889286,66901017,66916985,67029353,67177050,67284518,67342324,67489190,67618932,67715966,67774217,67787969,67885782,67997438,68369273,68679348,68814902,69261855,69265280,69390269,69528710,69606624,69724433,69888532,70021793,70075608,70110710,70355523,70444788,70457414,70514475,70703033,70744457,70829199,70850846,71058369,71253855,71367206,71411798,71491449,71537368,71541689,71543837,71655520,71855412,72075497,72444854,72520553,72569873,72770942,72884022,73015193,73053225,73064657,73224749,73304228,73308473,73392250,73429617,73506398,73823405,73875615,73879312,73940067,73979388,74003319,74005622,74251193,74460233,74493329,74629085,74821335,74871222,75078017,75138089,75215440,75666857,75726708,75834905,76004112,76255193,76364948,76409769,76439540,76461209,76636985,76647137,76945766,77224098,77305000,77332255,77541412,77606054,77621597,77628664,77674017,77682089,77812397,77923440,77972920,78017177,78053342,78125366,78171089,78225110,78307452,78336570,78512529,78540713,78575549,78635885,78800656,78835059,79151153,79766033,79784102,79802774,79809424,80188973,80300382,80479539,80612460,80765366,80790758,80800617,80819990,80987028,81083393,81832017,81916457,82048659,82385069,83062569,83114226,83118336,83121110,83275913,83434452,83527864,83559008,83596628,83691929,83756575,83878617,84132852,84320475,84438977,84481238,84617370,84642278,84772073,84826217,85123444,85187153,85389268,85475513,85504626,85757405,85986624,86036918,86104929,86258129,86409734,86563529,86821652,86949688,86968125,87066148,87234593,87332247,87337817,87663870,87714905,87719535,87739313,87916073,87995608,88059689,88070700,88171718,88279910,88434113,88588086,88650738,89098689,89215997,89422790,89501606,89554902,89712893,89785602,89827793,89888817,89941840,89972909,90173537,90258528,90549735,90607937,90701693,90871617,91001886,91134710,91318529,91403297,91418753,91608979,91727448,91933450,91964382,92043849,92195897,92384606,92766000,92798706,92821017,92890529,93048854,93061604,93186713,93508128,93567504,93594729,93670913,93723567,93870132,93923126,93942080,93968847,94003884,94076198,94363062,94625153,94657862,94685348,94697969,95196593,95255894,95387537,95483535,95513889,95636489,95668289,95704617,95808975,96120740,96142742,96203320,96339257,96586384,96655017,96734952,96756377,96820310,96883793,96919718,96983988,97087454,97204408,97231313,97514067,97670390,97676975,97788077,97818399,98352129,98415293,98510585,98516489,98726889,98950400,98995059,99186017,99208838,99280313,99692753,99745332,99840760,99987113,...,1058901587763730097705217434762495974299384914516259123497122210471338812011085141316006568239519523048048858468199968047729648843903544637705625146404188235553930022779292220890539457889816364365670115799217781554814580724987571880440327801346844197451110667767533644661415664424158900915245488007713631563336854963647517774498402976392983244778328297676336473348847545963202646787608692858194541753694674452655212870797656365048604206116009154342309826501366658789529377180464508563423558318210781222162601167877424522182532148800331211590196658705742247236445655807963762008712378353872872670702446764555271623751498139607730096385192260590983951652493776566928322927030896787004165237765924384819603837215102166431432338643995633748997118880216453070332245708986605056909506828092132266607308909030824185231442698880912577342510902412234477352334974840679143101697612914229946891270454447854457043115995637026188810235469919283620583951835490408296727461661063326240326906815966114675359458750880511918137882731692867267530525470191091748932542485716095217929231282523682719355979104319080088586549085026517649021531421833709377186199620384822134553453526459649019397953124738918631668531770743880765289002733473843240631582659167583864333683201770949471139510602441108782560722729249205877892087746282965196919051064611991626367407117718220004898530591478513375886860886384652276076690639527875475518121906937933890463379069028639322765151132965864892494547218623998489385843042629528972008775775241838086678478912543256606559310689532185032747153214877928120209239384165161941764953722882506082486228027144326563943591832661195787243266271241145204916057748144547724173124996934350435338599271145254110260491552401559179427424644246966950800726058926745266121486766408656070739215057284383425386519038980274339169321311204162333146009796483704464444861780847860554730309105817858541529596035290875950084356189120466564813721288910019827934981964587273157845645111208141116654746132815928132317369522809611385381388557550885552793768603857130344369751796339470350544476430674987501724142146027550087213117419831419410935249508313801081192500388553388628595750525632287923319779033252828154892547792220447121077301199332037259318297769164769709974081674384255722568714484890948749188810998477384133847830561846281578091902143425144252716022194085113554769189570491617619562158066954477072710192396756075858026657207583033674414097248725530199444782383141462412}
15488  2340499813665193322565294585098768803907305051587548195275581593: {402298,571687,587746,680812,941047,1051756,1328098,1422412,1451266,1492927,1624665,1732976,1820386,1934125,1949598,1950847,2133511,2250298,2320950,2406967,2475680,2532652,2770567,2785140,2970816,3016065,3042511,3168898,3217136,3223447,3342168,3352186,3474298,3494311,3572877,3619278,3759939,3831848,3901186,4123807,4205626,4253425,4310829,4377292,4406385,4700144,4813306,5104110,5113132,5116546,5283511,5287662,5298298,5305181,5311016,5444384,5479906,5519577,5549407,5974893,5991127,6023866,6084226,6124932,6214732,6570925,6581356,6632769,6721185,6807298,6869167,6927586,7169264,7578830,7885110,8065422,8086327,8186746,8410784,8570865,8903098,8947087,9094596,9142256,9203911,9353905,9462132,9494985,9498298,9800647,9848657,10127984,10210426,10224727,10285038,10478311,10506466,10565626,10826900,11067487,11151367,11224686,11393982,11451106,11727309,12046156,12264465,12332986,12566311,12992280,13035898,13082096,13396017,13405256,13634287,13858432,14069510,14609311,14616315,14717358,15012511,15072898,15080913,15173287,15293932,15413911,15467000,15490065,15590736,15653356,15653887,15798189,16343266,16522736,16630906,16666958,16803298,16883412,17400375,17413277,17466033,17539578,17628487,17834626,18063106,18250185,18328327,18348346,18405346,18519848,18560400,18588078,18875212,19081985,19088098,19466864,19481767,19541986,19797760,19938298,19975976,19993505,20099300,20245773,20468311,20546985,20834829,20844511,20880450,21010156,21234946,21364972,21459586,21627898,21796066,21814207,21900222,21916784,22272480,22331311,22382265,22472973,22604813,22634746,22746298,22834281,22898382,22917967,23134732,23136226,23427511,23457917,23606216,23757312,23757465,23809940,23874416,23902697,23927277,23992206,24119160,24149311,24193132,24301306,24364447,24501693,24631585,24650287,24656382,24673665,24876110,24963898,25056540,25074106,25129186,25341296,25359847,25727104,25777448,25951372,26318576,26410687,26556993,26726976,26858718,27046906,27102247,27134055,27222056,27264826,27699898,27990511,28051756,28079746,28508958,28512898,28562150,28571928,28723409,28799647,28891066,28942992,28999629,29000311,29384648,29466007,29557902,29608398,29664511,29851332,29993911,30020866,30067848,30160785,30191065,30288826,30452047,30624813,30663298,30777127,31026369,31109585,31293511,31569466,32100346,32143419,32171504,32257857,32292590,32560866,32614617,32689807,33057729,33315298,33511310,33826329,33990127,34014200,34103098,34112311,34146710,34264785,34274580,34410536,34416511,34598167,34720185,34839367,34978156,35019511,35199007,35252026,35321452,35437327,35465313,35528381,35537300,36028087,36192942,36229278,36341506,36379087,36549104,36559552,36599866,36691756,36852893,37034864,37101009,37188007,37331502,37473487,37577986,37813687,38057452,38095207,38207311,38265975,38359065,38486311,38711853,38738572,38751108,38826925,38922321,39024461,39203287,39415426,39721665,40174906,40213572,40450718,40494967,40743521,40779898,40817040,40916336,40976052,41020927,41117742,41129496,41451532,41536785,41633026,41664222,41683066,42102007,42155949,42203311,42354727,42369776,42424984,42531298,42644760,42645369,42977869,43118465,43275898,43538176,43688311,43802985,43810252,43889006,43918306,44016898,44168911,44255865,44305904,44607106,44656186,44754298,44816812,45097186,45487744,45829306,45919170,46030878,46069457,46108807,46270683,46331287,46562673,46592310,46723184,46799866,47117311,47206256,47227901,47246047,47416687,47427298,47628367,47665998,47728107,47873300,47964441,47975355,48293647,48326385,48375511,48485356,48497767,48608846,48721786,48980448,49007866,49059727,49093297,49221777,49318856,49587473,49698464,49761511,49844142,50015185,50065927,50141356,50216407,50402887,50439967,50471692,50725448,50754830,50853346,50994298,51059311,51078797,51173712,51238209,51308287,51369466,51483967,51548144,51657847,51742158,52202167,52368487,52395898,52500247,52563582,52625217,52646990,52760311,52767226,53078911,53107038,53322298,53328607,53394393,53645026,53921026,54223927,54225905,54333946,54563911,54608506,54638985,54702511,54739852,54839311,55027807,55066156,55089377,55103004,55186567,55290967,55419665,55483713,55519546,55622311,55749230,55795687,55910772,55927426,55972666,55989511,56155327,56294647,56340511,56408767,56453911,56819175,57066129,57100525,57157207,57237127,57281169,57431887,57447960,57508941,57539524,57558137,57570426,57619447,57660033,57728527,57786740,57887287,57989887,57991662,58056847,58106311,58155127,58205030,58219207,58281584,58374367,58536727,58769769,58898311,59042167,59154127,59268967,59276026,59337511,59356447,59365807,59455447,59497567,59513911,59627311,59648047,59693911,59769727,59780311,59790607,59812136,59898247,59926687,59934946,59936047,59954407,59967511,59978746,60011393,60018222,60031065,60140905,60607120,60851386,60905796,61211212,61277824,61308269,61316157,61501666,62320186,62448898,62595197,62663098,62698580,63130156,63176388,63303298,63600826,64033136,64063785,64446586,64628955,64644398,64822809,64828361,64992898,65071086,65566782,65813510,66503598,66574306,66621292,66746865,66863098,66899076,67288653,67468430,67567372,67641875,67683898,67687113,67925081,68173306,68183010,68226305,68295298,68334704,68463025,68520630,68579386,68781826,68937552,68950574,69344088,69435565,69627706,69833246,69846036,69871665,70823866,70982266,71196656,71691898,72037278,72169086,72506900,72569356,72728544,72776973,72917576,72940666,72969710,72995425,73056898,73086881,73088672,73114132,73172986,73327546,73751266,74117356,74325946,74529776,74897026,74967848,75214785,75238296,75299785,75400509,75840826,75911529,76080977,76876542,76960186,76996157,77554746,77955298,78007521,78012099,78373448,78699110,78793786,78938746,78976212,79032785,79170950,79210785,79695586,80096238,80229104,80237356,80261517,80347017,80540332,80835298,80941306,80962116,81170250,81188098,81426585,81447532,81455889,81624257,81714298,81819612,81871566,81993466,82032273,82155630,82199320,82224756,82225910,82261124,82410298,83031226,83254156,83307265,83322678,83824977,83845998,83852733,83885026,83917262,84177905,84189946,84338829,84356877,84358786,84459898,84491504,84513086,84523665,84643083,84695266,84896386,85053857,85296898,85380681,85849185,85959298,86539372,86549986,86581600,86778298,86855024,87008280,87167866,87360665,87361786,87429292,87563652,87594510,87632672,88021132,88055985,88170129,88290946,88322746,88503848,88735478,88766266,88906732,89117966,89201356,89421710,89569400,89643898,89819265,90158576,90201466,90257742,90359742,90478306,90514376,91391746,91572464,91630285,91723066,91932898,92171746,92349140,92474235,92616826,92808832,93263098,93434144,93623453,93674541,93807364,93843898,93899897,93926384,94019300,94189306,94405593,94438932,94658385,94744492,94839342,95005140,95052942,95211706,95321932,95408098,95456185,95549425,95807216,95826298,96047866,96569986,96631250,96706426,96926765,97035830,97178696,97194298,97404300,97406078,97466150,97697433,97711902,97884315,97906156,98500820,98586756,98639184,98652898,98671092,98783098,98843569,98964706,99042298,99315777,99479266,99504826,99566829,99761780,99828296,99936898,99951533,99968718,...,1588352381645595146557826152143743961449077371774388685245683315707008218016627711974009852359279284572073287702299952071594473265855316956558437719606282353330895034168938331335809186834724546548505173698826672332221871087481357820660491702020266296176666001651300466992123496636238351372868232011570447345005282445471276661747604464589474867167492446514504710023271318944803970181413039287291812630542011678982819306196484547572906309174013731513464739752049988184294065770696762845135337477316171833243901751816136783273798223200496817385294988058613370854668483711945643013068567530809309006053670146832907435627247209411595144577788390886475927478740664850392484390546345180506247856648886577229405755822653249647148507965993450623495678320324679605498368563479907585364260242138198399910963363546236277847164048321368866013766353618351716028502462261018714652546419371344920336905681671781685564673993455539283215353204878925430875927753235612445091192491594989360490360223949172013039188126320767877206824097539300901295788205286637623398813728574142826893846923785524079033968656478620132879823627539776473532297132750564065779299430577233201830180289689473529096929687108377947502797656115821147933504100210764860947373988751375796500524802656424206709265903661663173841084093873808816838131619424447795378576596917987439551110676577330007347795887217770063830291329576978414115035959291813213277182860406900835695068603542958984147726699448797338741820827935997734078764563944293458013163662862757130017718368814884909838966034298277549120729822316892180313859076247742912647430584323759123729342040716489845915387748991793680864899406861717807374086622216821586259687495401525653007898906717881165390737328602338769141136966370450426201089088390117899182230149612984106108822585926575138079778558470411508753981966806243499719014694725556696667292671271790832095463658726787812294394052936313925126534283680699847220581933365029741902472946880909736768467666812211674982119199223892198476054284214417078072082836326328329190652905785695516554627694509205525816714646012481252586213219041325130819676129747129116402874262470701621788750582830082942893625788448431884979668549879242232338821688330670681615951798998055888977446653747154564961122511576383583853071727336423123783216497716076200771745842769422367137853215137716379074033291127670332153784355737426429343237100431715609065288595134113787039985811374550511621145873088295299167173574712193618}
15489  2350919362236678488596117600734392339726510087279815177531014643: {603447,851015,881619,1021218,1314695,1516354,1577634,1778015,1871507,1992147,2133618,2166220,2176899,2599464,2730579,2814994,2891207,2924397,3094600,3165815,3352867,3375447,3481425,3713520,3798978,3961088,4021420,4112626,4177710,4456224,4647139,4753347,4763836,4789810,4825704,5013252,5028279,5211447,5225818,5428917,5471615,5577811,5747772,5851779,5875180,6273106,6308439,6391415,6565938,6638770,6805480,7050216,7219959,7359436,7426159,7613399,7656165,7669698,7674819,7768415,7931493,7947447,7966524,7999474,8166576,8169347,8219859,8226695,8843692,8861986,8961580,9035799,9093571,9126339,9187398,9239698,9322098,9872034,9981346,10210947,10391379,10513480,10753896,11368245,11427820,11446834,11729599,11827665,12098133,12126128,12280119,12447058,12567346,12603859,12616176,12659980,13354647,13533625,13641894,13713384,14193198,14247447,14457394,14825347,14966248,15057695,15191976,15315639,15427557,15459239,15636412,15759699,15848439,16204867,16240350,16272706,16352620,16756570,16837029,17013778,17033506,17083847,17090973,17176659,17323040,17478979,17861356,18069234,18499479,18589007,18788447,18851794,19117415,19177186,19333750,19488420,19553847,19566695,19623144,20107884,20584447,20653420,20655439,20787648,20890114,21007919,21064252,21104265,22076037,22173634,22511216,22554274,22555267,22609347,22940898,23028754,23101891,23149810,23200500,23274479,23288044,23386104,23480034,23594015,23819299,24035266,24333580,24445018,24514899,24747200,24784104,24946359,24969970,25000437,25124125,25124231,25204947,25325118,25341199,25711567,26256754,26262695,26309367,26351111,26706215,26751939,26994364,27094659,27395980,27522519,27608019,27737746,27779772,27840600,27882117,28150066,28312818,28332439,28632147,28918415,29200296,29231098,29312979,29366147,29504639,29507770,29677727,29696640,29762425,29843020,29907447,29963964,30109219,30123731,30148950,30241415,30445708,30531176,31266079,31320675,31476719,31515234,31676416,31676620,31812631,31852419,31903036,31967107,31980466,31989608,32047458,32117987,32158880,32189379,32221810,32405506,32439215,32441847,32448247,32668924,32694099,32850333,32875176,32898220,33213778,33408720,33952119,34027570,34119447,34347573,34702098,34704339,34737487,34835218,35064695,35409324,35635968,35714910,35801794,35811624,35988309,36178740,36289698,36451959,36730810,36984573,37012439,37073554,37121861,37314165,37445847,37584810,37611159,37693779,37798499,38011944,38095904,38590656,38666172,38767666,38780794,38927058,39210946,39410536,39477864,39521599,39801776,40090464,40214380,40288077,40369498,40489171,40570359,40833084,40882786,40897239,41091058,41305474,41340226,41368492,41549847,42041747,42077634,42119619,42200794,42517750,42657059,42763437,42769347,42843225,42857892,42885106,43010476,43013170,43153999,43210847,43336599,43414488,43486156,43722695,43950211,44076972,44151815,44336853,44384767,44412597,44421625,44762447,44776998,44935279,44986511,44994359,45031299,45101772,45104626,45130618,45433239,45678679,45686380,45699440,45864695,45994947,46190527,46293580,47287084,47354199,47405779,47571815,48083879,48150519,48255847,48257256,48301679,48305704,48423215,48438885,48841299,49468012,49775336,49972947,50266965,50700154,50996386,51021300,51145420,51154647,51220065,51411870,51615804,51668144,51682978,51814415,51864271,51896428,52335619,52467234,52578871,52866407,52878039,52911826,52962220,52982178,53031230,53305950,53618096,54289413,54343917,54422720,54512259,54634736,54731599,54762815,54823656,54839328,54899799,54912418,55037634,55382380,55552296,55895047,55997253,56020759,56021015,56028994,56044991,56207932,56366979,56859680,56860492,56927866,56952898,57086178,57739651,57755027,58107858,58126662,58234871,58403980,58495039,58763459,59007820,59123139,59792866,59809426,59841625,59915459,60262359,60320358,60358147,60606695,60676077,61169847,61173331,61225560,61374504,61464078,61648570,61676613,61694244,61891679,62083564,62123080,62177298,62297074,62449539,62457826,62496333,62524599,62676695,62780407,62936579,63089615,63406810,63554664,63616978,63637476,63796947,63802879,63952588,63967140,64020679,64338851,64435180,64913847,65213554,65307264,65596867,65629036,65715378,65833509,65877459,66009571,66025347,66313591,66323959,66458856,66462994,66504647,66882706,66910659,66984279,67131447,67197106,67225218,67645779,68231616,68317612,68424815,68576767,68743959,68832695,68878755,68989544,69046317,69183839,69623458,69888465,70084776,70152178,70166956,70199799,70200466,70809384,71140947,71192524,71498997,71652067,71809950,71924405,72233425,72454306,72728034,72780418,72851980,72913269,73082679,73470672,73511799,73930066,73966831,73978284,74547696,74765170,74766213,75071959,75212034,75316546,75707538,75758900,75998146,76088172,76132245,76151207,76268914,76280019,76374892,76491447,76514015,76597280,76678588,76694879,76760568,76880044,77054199,77322216,77440867,77613237,78248794,78259651,78359692,78373225,78593847,78647746,78754759,78845373,78888754,78912695,78970485,79109458,79150839,79200079,79660557,79813186,79960759,79983447,80024296,80041420,80125906,80156207,80467539,80699218,80881539,80967778,81207728,81412319,81500919,81633647,81660499,81740794,81754876,81912759,82109778,82185586,82599234,82654506,83066554,83276615,83279319,83623845,83657059,83702819,83732818,83811431,83831314,83866158,83891139,83958999,84235184,84459215,84574991,84831394,85031359,85418380,85718567,85719247,86171940,86309286,86355639,86420986,86430412,86680110,86736178,86761448,86930759,86987493,87197519,87307545,87349759,87422376,88347826,88602274,88671464,88914039,88995820,89198768,89718204,89902419,89968119,90027333,90094781,90249484,90363247,90633625,90711695,90713527,90910680,91146970,91277079,91345511,91358694,91360840,91392665,91489939,91816818,91916736,92022778,92207959,92252499,92329978,92369026,92458784,92622706,92646695,93128048,93162220,93461591,93480279,93673347,93683779,93709810,93867538,93994647,94047870,94088506,94132771,94484866,94591618,94695234,94764582,94954947,95209171,95401239,95449978,95680771,96049704,96151187,96225448,96669879,96819154,96863951,96966597,96971392,97035964,97036378,97340194,97489347,97606629,97966810,98037731,98154994,98350173,98720265,99401818,99743879,99755397,99861459,99931938,...,2382528572468392719836739228215615942173616057661583027868524973560512327024941567961014778538918926858109931553449928107391709898782975434837656579409423529996342551253407497003713780252086819822757760548240008498332806631222036730990737553030399444264999002476950700488185244954357527059302348017355671017507923668206914992621406696884212300751238669771757065034906978417205955272119558930937718945813017518474228959294726821359359463761020597270197109628074982276441098656045144267703006215974257749865852627724205174910697334800745226077942482087920056282002725567918464519602851296213963509080505220249361153440870814117392716866682586329713891218110997275588726585819517770759371784973329865844108633733979874470722761948990175935243517480487019408247552845219861378046390363207297599866445045319354416770746072482053299020649530427527574042753693391528071978819629057017380505358522507672528347010990183308924823029807318388146313891629853418667636788737392484040735540335923758019558782189481151815810236146308951351943682307929956435098220592861214240340770385678286118550952984717930199319735441309664710298445699125846098668949145865849802745270434534210293645394530662566921254196484173731721900256150316147291421060983127063694750787203984636310063898855492494760761626140810713225257197429136671693067864895376981159326666014865995011021693830826655095745436994365467621172553938937719819915774290610351253542602905314438476221590049173196008112731241903996601118146845916440187019745494294135695026577553222327364758449051447416323681094733475338270470788614371614368971145876485638685594013061074734768873081623487690521297349110292576711061129933325232379389531243102288479511848360076821748086105992903508153711705449555675639301633632585176848773345224419476159163233878889862707119667837705617263130972950209365249578522042088335045000939006907686248143195488090181718441591079404470887689801425521049770830872900047544612853709420321364605152701500218317512473178798835838297714081426321625617108124254489492493785979358678543274831941541763808288725071969018721878879319828561987696229514194620693674604311393706052432683125874245124414340438682672647827469502824818863348508232532496006022423927698497083833466169980620731847441683767364575375779607591004634685674824746574114301157618764154133550706779822706574568611049936691505498230676533606139644014855650647573413597932892701170680559978717061825767431718809632442948750760362068290427}
15490  2361384929903335386201687355003578918211322865079201974611884944: {263041,355741,448369,725821,804596,1143374,1175492,1361624,1370689,1531827,1645981,1737601,1882094,2012029,2103512,2274531,2366451,2656196,2707775,2844824,2902532,2922109,2985854,3200427,3249330,3464701,3465952,3640772,3868250,3899196,3901694,3914881,4004701,4222491,4267022,4500596,4641900,4809841,4813934,4951360,5026775,5065304,5343361,5432029,5541134,5570280,5698467,5785981,5874289,5941632,5954795,6032130,6085022,6168939,6266565,6337796,6434272,6446894,6684336,6704372,6948596,6988622,7145754,7184715,7238556,7343975,7519878,7663696,7798849,7802372,7838727,8247614,8411252,8506850,8621658,8754584,8812770,8833921,8919709,9199295,9400288,9409659,9603421,9626612,9773629,9848907,9958155,10028401,10208220,10226264,10233092,10567022,10575324,10596596,10610362,10620349,10622032,10888768,10957021,10959812,11039154,11054615,11098814,11201975,11376241,11504547,11949786,11982254,11999211,12043249,12047732,12168452,12249864,12429464,12540481,12623101,13095467,13141850,13162712,13265538,13292979,13442370,13527169,13614596,13690609,13738334,13772221,13781097,13853761,13855172,13859547,13983147,14097949,14284775,14338528,14808051,14972019,15157660,15770220,15824975,15868861,16130844,16172654,16373492,16662301,16821568,16977661,17141730,17170251,17806196,17894174,18189192,18227581,18284512,18407822,18670587,18707810,18851019,18924264,18989970,18996596,19545515,19601294,19697314,19840129,20143681,20219389,20255968,20420852,20440775,20449454,20462841,20570076,20747329,20897521,20956622,21012932,21131252,21271741,21289797,21653800,21686091,21718429,22014781,22134974,22302734,22309981,22326695,22383601,22449372,22787964,22902212,23454618,23551729,23840881,24092312,24360525,24409059,24528930,24665972,24772669,25132622,25134855,25481149,25520667,25550259,25551601,25816775,25972801,25984560,26071796,26164192,26330315,26714779,26792034,26810512,27014461,27103851,27268574,27289501,27426589,27716864,27768049,27990907,28139020,28277691,28714561,28765779,29000625,29110055,29218622,29232630,29434716,30025022,30042241,30145796,30161826,30346574,30416975,30587864,30760189,30827822,30934000,30980130,31181472,31212529,31306712,31307774,31335171,31596378,31782707,31852609,31916221,32686532,32799229,32986609,33045472,33260451,33261812,33297469,33333916,33421309,33606596,33742955,33766824,33831411,33945847,34244975,34411347,34484219,34522909,34543131,34724715,34800750,34826554,34932066,35079156,35220051,35256974,35304001,35541889,35669252,35719549,35896561,35955421,36052899,36126212,36307069,36500370,36656654,36667527,36696692,36810692,37039696,37117501,37120800,37176156,37303775,37454955,37460509,37574269,37750424,37987677,38057135,38163970,38176196,38306689,38933728,38963534,39026941,39083972,39385131,39409729,39518449,39595520,39595775,39788989,39876596,39878795,39951952,39987010,40198600,40483969,40491546,40642621,40836155,40853149,40936622,41010289,41093970,41122775,41529409,41606619,41669658,41689022,41760900,42020312,42225099,42267491,42445681,42469227,42469892,42646129,42729944,42745921,42919172,42994141,43255796,43289629,43436401,43553419,43592132,43628414,43631089,43800444,43833568,43846647,44261655,44544960,44662622,44681281,44764530,44945946,45209626,45223425,45269492,45285469,45492596,45668562,45796764,45835934,45967489,46012381,46101949,46269464,46272452,46545469,46633309,46855022,46915834,46981789,47212432,47272851,47495869,47514624,47514930,47538241,47619880,47622769,47748832,47805394,47854554,47970699,47984412,48071187,48238320,48298622,48332715,48386264,48602612,48608259,48614641,48728894,48775921,48936049,49003386,49213501,49263170,49300574,49312764,49347330,49565041,49752220,49820667,49927796,50113080,50148212,50258372,50267975,50325361,50362621,50658109,50682592,50719694,50792027,51020989,51041355,51306109,51454208,51554896,51710615,51759601,51828289,51902744,52053147,52066429,52252827,52466461,52637152,52821374,52983709,53113986,53235421,53266561,53451889,53453952,53572365,53664829,53694961,53702691,53717436,53763095,53903869,53992321,54050929,54093812,54175451,54204494,54253789,54268110,54357695,54424861,54434547,54444112,54481309,54529652,54868381,54868979,55096215,55399796,55549789,55600189,55610331,55625281,55969009,55981022,56103512,56159492,56205889,56252401,56377215,56435569,56458141,56592061,56723389,56978269,57017916,57025796,57040369,57107975,57122161,57124300,57143856,57321601,57446818,57588721,57599294,57782132,57788701,57806449,57859261,57866975,57885984,57945841,57979969,57999258,58000622,58019351,58047361,58151499,58171191,58305409,58390587,58412509,58486849,58769296,58792561,58805629,58816419,58932014,58968961,59074909,59108855,59115804,59142301,59207101,59216796,59299441,59329022,59348221,59395201,59492221,59572861,59595649,59603101,59680321,59702664,59737021,59742961,59898589,59915329,59943409,59958781,59960689,59965981,59975809,59979841,59987822,60041732,60135696,60321570,60365851,60382130,60554247,60577652,60904094,61249626,61324179,61326596,61554254,61636587,61835015,61958211,62010339,62052738,62219170,62587022,63116451,63138932,63301191,63776625,63931775,64200692,64286838,64327659,64343008,64515714,64519755,64585180,64870535,65121732,65229234,65379614,66115458,66202775,66403139,66630596,67022620,67165497,67652658,67656939,67695927,67980254,68028400,68206196,68224622,68293420,68529570,68549160,68821072,68833022,69196334,69227975,69440370,69678734,69956312,70021259,70039022,70259915,70398014,70504052,70642904,70874654,70930626,71056762,71074600,71075615,72056174,72385884,72455227,72458556,72683012,72758174,73004975,73098208,73119104,73199732,73383512,73705786,73759775,74069728,74202018,74376014,74663004,74946974,75155972,75627374,75851807,75916267,76050231,76114904,76190414,76414622,76494579,76531950,76533347,76718130,76972622,77117805,77423706,77477144,77502216,77524467,77587531,77604455,77653850,77844642,78048922,78406574,78700851,78830852,79367739,79443330,79473267,79546845,79940735,79958925,80349812,80427144,80543975,80901436,80989934,81487042,81559796,81634080,81832672,81952104,82036295,82041854,82235484,82258992,82368627,82556451,82903064,83073570,83266052,83328444,83366132,84043491,84197267,84204014,84311898,84406622,84709454,84739552,84849968,85062596,85289520,85290738,85391799,85397015,85429347,85629267,85955738,86236930,86551796,87076352,87161787,87189993,87376622,87605970,87620504,87708695,87778012,87836612,88033796,88337822,88511730,88611808,88990655,89214212,89312372,89508596,89633624,89689299,89714139,90194372,90480537,90975488,91064975,91658612,91838340,92061756,92138914,92196117,92217614,92472855,92541366,92662574,93125346,93184620,93265947,93445611,93446368,93599732,93686739,94234622,94412512,94455802,94492094,94698625,94833374,94854596,95110215,95256734,95331996,95425467,95456214,95468615,95516827,95746600,95848235,95928882,95950710,96100055,96465031,96587294,96652770,96751022,96970712,96995534,97209791,97217692,97443572,97820331,97949615,97960896,98015732,98119454,98186594,98443554,98573067,98637712,99174946,99396928,99523022,99688284,99694491,...,3176704763291190293115652304287487922898154743548777370491366631414016436033255423948019704718558569144146575404599904143188946531710633913116875439212564706661790068337876662671618373669449093097010347397653344664443742174962715641320983404040532592353332003302600933984246993272476702745736464023140894690010564890942553323495208929178949734334984893029009420046542637889607940362826078574583625261084023357965638612392969095145812618348027463026929479504099976368588131541393525690270674954632343666487803503632273566547596446400993634770589976117226741709336967423891286026137135061618618012107340293665814871254494418823190289155576781772951854957481329700784968781092690361012495713297773154458811511645306499294297015931986901246991356640649359210996737126959815170728520484276396799821926727092472555694328096642737732027532707236703432057004924522037429305092838742689840673811363343563371129347986911078566430706409757850861751855506471224890182384983189978720980720447898344026078376252641535754413648195078601802591576410573275246797627457148285653787693847571048158067937312957240265759647255079552947064594265501128131558598861154466403660360579378947058193859374216755895005595312231642295867008200421529721894747977502751593001049605312848413418531807323326347682168187747617633676263238848895590757153193835974879102221353154660014695591774435540127660582659153956828230071918583626426554365720813801671390137207085917968295453398897594677483641655871995468157529127888586916026327325725514260035436737629769819677932068596555098241459644633784360627718152495485825294861168647518247458684081432979691830775497983587361729798813723435614748173244433643172519374990803051306015797813435762330781474657204677538282273932740900852402178176780235798364460299225968212217645171853150276159557116940823017507963933612486999438029389451113393334585342543581664190927317453575624588788105872627850253068567361399694441163866730059483804945893761819473536935333624423349964238398447784396952108568428834156144165672652656658381305811571391033109255389018411051633429292024962505172426438082650261639352259494258232805748524941403243577501165660165885787251576896863769959337099758484464677643376661341363231903597996111777954893307494309129922245023152767167706143454672846247566432995432152401543491685538844734275706430275432758148066582255340664307568711474852858686474200863431218130577190268227574079971622749101023242291746176590598334347149424387236}
15491  2371896718303143331504877458167657420760389437559438544518386397: {1005745,1191421,1206894,1469365,1702030,1715061,1763238,1840573,2042436,2211781,2489221,2629390,2823141,3032708,3155268,3231349,3320245,3416881,3556030,3628165,3743014,3984294,4267236,4332440,4353798,4432141,4478781,4550965,4873995,4928869,5198928,5461158,5625745,5629988,5782414,5802375,5848794,5852541,6041341,6189200,6285301,6331630,6400533,6705734,6750894,6962850,6962989,7220901,7427040,7597956,7660261,7922176,7922245,8042840,8138461,8225252,8311701,8355420,8380465,8509093,8685745,8912448,8947981,8993941,9048195,9127533,9294278,9506694,9527672,9579620,9651408,9670341,9752965,10026504,10056558,10297813,10422894,10451636,10482933,10514065,10718631,10857834,10875781,10943230,11155622,11279817,11359381,11495544,11517373,11703558,11750360,12033265,12326173,12371421,12546212,12616878,12760275,12782830,12791365,12932487,13131876,13219155,13245745,13277540,13383469,13610960,13699765,14100432,14439918,14547661,14718872,14852318,15059665,15067789,15210565,15226798,15312330,15339396,15349638,15536830,15850533,15862986,15894894,15915543,15933048,15983281,15998948,16333152,16338694,16413661,16439718,16453390,16558731,16648221,17018245,17277973,17318965,17422141,17687384,17723972,17923160,17924679,17973381,18071598,18094021,18187142,18252678,18374796,18479396,18644196,18947075,19112641,19712775,19744068,19898307,19962692,20163555,20190001,20421894,20466865,20607501,20775949,20782758,21026960,21080773,21507792,21716701,22117909,22257745,22456741,22736490,22855640,22893668,23381521,23459198,23655330,23732941,23745745,24196266,24252256,24258981,24560238,24894116,25127509,25134692,25207718,25232352,25319960,25356673,25461469,25526065,25712595,26012653,26266165,26395441,26414065,26709294,26764381,26841261,27067250,27244369,27283788,27393373,27426768,27611733,28061715,28129981,28168429,28386396,28484955,28494894,28627765,28914788,29129221,29401941,29508481,29545971,29650694,29692273,29932496,30115390,30201361,30383952,30460309,30631278,30674181,30832465,30855114,30918478,31125421,31272824,31434933,31519398,31690069,31696878,32122189,32409734,32454301,32480700,32545412,32589745,32705240,32975773,33031621,33202461,33454101,33513140,33674058,34027556,34067012,34167694,34181946,34353318,34646080,34957958,35173775,35181927,35242453,35439349,35600773,35722712,36138468,36767773,36793395,36998958,37178014,37230829,37388701,37576894,37682245,37698933,37703588,37803421,37957621,38234830,38338981,38354372,38505013,38667500,38976840,39107694,39133390,39246288,39565021,39677713,40068589,40188051,40215768,40411141,40485781,40858165,40902861,41168894,41306840,41310878,41575296,41577265,41667395,41780228,42008245,42015838,42128504,42208530,42257101,42337981,43456573,43827933,43848945,44022781,44103061,44152074,44347268,44586565,44992369,45022432,45037533,45108548,45110534,45157765,45218694,45242739,45414901,45519861,45870865,45877333,45881796,46013365,46023361,46057508,46203782,46241733,46299620,46401000,46470195,46548958,46576088,46772208,46945981,46960068,46961661,46980109,47188030,47394567,47638598,47720245,48070532,48089029,48307981,48422173,48667160,48854965,48890036,48947701,49006813,49029798,49090573,49494400,49568208,49685701,49713841,49845745,49892718,49939940,50000874,50248250,50248462,50287813,50298673,50409894,50650236,50682398,51162673,51239221,51299701,51423134,52201125,52239831,52398099,52498213,52513508,52525390,52618734,52702222,52885461,53087365,53412430,53503878,53513413,53648965,53988728,54069745,54189318,54490165,54748381,54750555,54791960,54984981,55045038,55157509,55216038,55475492,55559544,55681200,55764234,56052289,56300132,56586865,56625636,56664878,56865745,57245955,57264294,57836830,57840565,58087909,58242469,58400592,58445301,58462196,58625958,58732294,58778893,59009278,59015540,59355454,59393280,59524850,59686040,59712829,59814894,59923261,59927928,59980515,60218438,60247462,60297900,60369601,60482830,60737319,60753265,60891416,61062352,61211773,61404933,61640955,61812541,61984021,62190275,62251069,62409601,62409745,62478481,62504487,62532158,62533533,62641350,62685265,62822965,62944813,62953438,62956069,63030468,63352832,63353240,63560209,63625262,63639781,63704838,63806072,63934214,63960932,63979216,64094916,64210573,64235974,64308133,64317760,64347229,64378758,64443620,64574389,64811012,64878430,64883694,64896494,65337848,65388198,65442621,65700666,65750352,65796440,65867461,66151213,66167473,66427556,66483073,66519829,66600541,66817440,66993933,67111861,67146795,67418919,67617265,67792501,67814439,67904238,68055140,68162065,68238894,68255941,68502843,68695146,68753901,69173053,69192901,69249745,69404196,69408678,69416149,69474974,69670436,69886213,70129390,70199365,70282533,70373751,70818648,71271936,71272395,71282245,71405375,71429820,71603588,71623248,71708091,71781831,71976618,72227665,72318373,72357480,72401233,72447933,72540181,72576961,72579396,72903918,73093341,73461620,73505079,73894755,73950861,73969146,74020995,74024878,74147108,74238109,74243722,74628330,74891694,75052165,75164053,75169620,75222318,75387558,75596998,75722065,76023888,76079541,76191808,76481581,76658245,76667941,76704913,77121781,77181312,77332344,77374309,77535332,77561588,77854116,78421892,78429421,78596401,78821072,78923665,78955728,79043198,79232061,79573261,79603552,79670979,80180928,80250865,80428760,80576154,80671681,80731475,80738996,80978342,81140718,81306741,81402165,81422941,81666168,81765572,81794478,81984181,82182116,82278349,82610948,82680452,82736984,83099694,83288245,83778275,83971533,84083494,84155268,84239238,84401588,84403261,84586069,84849373,85035500,85257745,85314118,85366775,85460593,85526874,85538694,85686450,85715784,85770212,86013121,86020952,86026340,86047621,86170227,86307998,86398941,86421694,86673198,86719873,86828976,86942101,86972312,86998887,87000933,87445390,87747373,87847741,87900422,88082773,88130065,88153944,88303630,88325461,88398021,88555633,88673706,88769534,88825194,88843250,88901989,88993533,89524894,89553996,89586349,89870558,89973022,89981733,89988718,89996881,90062598,90203544,90209252,90261236,90407749,90482355,90573195,90741121,90853765,90866478,91356141,91357358,91357429,91372760,91398880,91433221,91499665,91729390,91874439,91989894,92331381,92381054,92587160,93079107,93154333,93211141,93328755,93880533,93944965,94036213,94252573,94282141,94441969,94458373,94574168,94708398,94716109,94811558,95143630,95755441,95794741,96167758,96301038,96365773,96430257,96511694,96514512,96603358,96611408,96773571,96846430,96876589,96877770,97107901,97682598,97843851,98020693,98069421,98153581,98257501,98365069,98538565,98561773,98936024,99049873,99173187,99550672,99592513,99945894,...,4765057144936785439673478456431231884347232115323166055737049947121024654049883135922029557077837853716219863106899856214783419797565950869675313158818847059992685102506814994007427560504173639645515521096480016996665613262444073461981475106060798888529998004953901400976370489908715054118604696034711342035015847336413829985242813393768424601502477339543514130069813956834411910544239117861875437891626035036948457918589453642718718927522041194540394219256149964552882197312090288535406012431948515499731705255448410349821394669601490452155884964175840112564005451135836929039205702592427927018161010440498722306881741628234785433733365172659427782436221994551177453171639035541518743569946659731688217267467959748941445523897980351870487034960974038816495105690439722756092780726414595199732890090638708833541492144964106598041299060855055148085507386783056143957639258114034761010717045015345056694021980366617849646059614636776292627783259706837335273577474784968081471080671847516039117564378962303631620472292617902703887364615859912870196441185722428480681540771356572237101905969435860398639470882619329420596891398251692197337898291731699605490540869068420587290789061325133842508392968347463443800512300632294582842121966254127389501574407969272620127797710984989521523252281621426450514394858273343386135729790753962318653332029731990022043387661653310191490873988730935242345107877875439639831548581220702507085205810628876952443180098346392016225462483807993202236293691832880374039490988588271390053155106444654729516898102894832647362189466950676540941577228743228737942291752971277371188026122149469537746163246975381042594698220585153422122259866650464758779062486204576959023696720153643496172211985807016307423410899111351278603267265170353697546690448838952318326467757779725414239335675411234526261945900418730499157044084176670090001878013815372496286390976180363436883182158808941775379602851042099541661745800095089225707418840642729210305403000436635024946357597671676595428162852643251234216248508978984987571958717357086549663883083527616577450143938037443757758639657123975392459028389241387349208622787412104865366251748490248828680877365345295654939005649637726697016465064992012044847855396994167666932339961241463694883367534729150751559215182009269371349649493148228602315237528308267101413559645413149137222099873383010996461353067212279288029711301295146827195865785402341361119957434123651534863437619264885897501520724136580854}
15492  2382454929950573883774879814293890620837243223251198339587266507: {293987,479291,526082,633491,711482,818267,896738,1217627,1451642,1554491,1609192,1676747,1810341,2012291,2286748,2350984,2498627,2553045,2644857,2650187,2723248,2741027,2741378,2952707,3063654,3291962,3404987,3475202,3495227,3555347,3764188,3790885,3825491,3944085,4024058,4207024,4453307,4549062,4732902,5018291,5312392,5334045,5344067,5415550,5614521,5689648,5805064,5844218,5971708,5976441,6051491,6168947,6315587,6400854,6491291,6498660,6530697,6608267,6929291,6929402,6931904,7037485,7191227,7281544,7626347,7736500,7798392,7803388,7828787,7829762,8009402,8088491,8191737,8336713,8405027,8444982,8491187,8534044,8673621,8773191,8949491,9001192,9120827,9283800,9497445,9519491,9619682,9627868,9803291,9902720,10053550,10058601,10126341,10130608,10281565,10444275,10481147,10686722,10818347,10864058,10902467,11070491,11082268,11140560,11210291,11321987,11396934,11571962,11748578,11878547,11883264,11909590,11974525,12064260,12072587,12170044,12293867,12337878,12487067,12533130,12569747,12624827,12675592,12868544,12879013,12893788,13064545,13368672,13408744,13529027,13692491,13897192,13941417,13977244,14260041,14291508,14369430,14477112,14667227,14687950,14909291,15039756,15084837,15311291,15327392,15418187,15476461,15597698,15604744,15634341,15677454,15682765,15711491,15871067,16136387,16286751,16414845,16495228,16506491,16596925,16733433,16769891,16822504,17013700,17243316,17509168,17555337,17625540,17667842,17789507,17839418,18398590,18694187,18800576,18819318,18925317,19174245,19206842,19253224,19547258,19697814,19842947,19916310,19998685,20056802,20416440,20452528,20466184,20474147,20750291,20775347,20900507,21134044,21150648,21193192,21220724,21240698,21244064,21659877,21721547,21777536,21869891,21914042,21919624,21968627,22078308,22109230,22154965,22197628,22278477,22337747,22386827,22403950,22460387,22752482,22840197,22968495,22997627,23009094,23024457,23099245,23305245,23361707,23794479,23842341,23844347,23899572,23940491,23964508,23998422,24086498,24095464,24336904,24443147,24499728,24508041,24657491,24659577,24680085,24776291,24858928,24918587,24953365,25080962,25246202,25508387,25578827,25836491,26190934,26283700,26325424,26531076,26585958,26742227,26884740,26903507,27054338,27107397,27229192,27280713,27316427,27363721,27379017,27381218,27476668,27544442,27562194,27707522,27710344,27719094,27908291,27966294,28195898,28247291,28569550,28617085,28677056,28718867,28808291,29009027,29616102,29717507,29805491,29944038,30046787,30315320,30439547,30632841,30699947,30786491,31109891,31117645,31174137,31238747,31257373,31303067,31345907,31410107,31418365,31540440,31649950,31737722,32048147,32261688,32345308,32746984,32887667,33012491,33324602,33447107,33643136,33955322,34104735,34163627,34244891,34283460,34340502,34366547,34467707,34649291,34830227,35030507,35070467,35188797,35428667,35482995,35521849,35567267,35612392,35788348,35862947,36039491,36143485,36294399,36312827,36378384,36455162,36545867,36569024,36603947,36815644,36840357,36862441,36893267,37027667,37341174,37415620,37485491,37561381,37655987,37702038,37811577,37848528,37863491,37979940,37993192,38219627,38256947,38591387,38996627,39051587,39091030,39202588,39252491,39361667,39394628,39597227,39680258,39795491,39813467,40063941,40287362,40438778,40490627,40508291,40511936,40600875,40614107,40681765,40754077,40841704,40877387,40881550,40898908,40925682,41034491,41140152,41494658,41536307,41795042,41891425,41913244,42025864,42065291,42251147,42262504,42301667,42469547,42534445,42543482,42579594,42583765,42669947,42742341,43296947,43307600,43372182,43394891,43436858,43557491,43703147,44029562,44120291,44269948,44374307,44453267,44476041,44605468,44619962,44653390,44767202,44898744,45173085,45537707,45575928,45804424,45885467,45946917,45975491,45990467,46124891,46282671,46332707,46377717,46656107,46699907,46909236,46990067,47103458,47129485,47240137,47279097,47545317,47560787,47645291,47681762,47715491,47799467,47942965,48184624,48334375,48614601,48623387,48721050,48818118,48864947,48944891,48958187,49057860,49331944,49545338,49548227,49586987,49995947,50122067,50265244,50269710,50347067,50511087,50740667,50849891,50962298,51041334,51078347,51100518,51103202,51221147,51251541,51272919,51327491,51529977,51633550,51677291,51917867,51945602,51969120,52087547,52143592,52225285,52328384,52421507,52436937,52660630,52672667,52780547,53004491,53279989,53369891,53411027,53429558,53462267,53584068,53621024,53685347,53924291,54028922,54129587,54177947,54207702,54264491,54407291,54463907,54492107,54537148,54557627,54579002,54641291,54853178,54879347,55040987,55235027,55261187,55356491,55433728,55434085,55498437,55536098,55569491,55619867,55644947,55767021,55769267,55818491,55830313,55859291,55981814,55988507,56012507,56264027,56278040,56365341,56379107,56385685,56401907,56447291,56477387,56514827,56555382,56785667,56885291,57052427,57134267,57170617,57201587,57221627,57254867,57294491,57352245,57359891,57429122,57430907,57456491,57526187,57531558,57571885,57607307,57644291,57824891,57874525,57911689,57941291,58001250,58076747,58159067,58220110,58318307,58323491,58400291,58425491,58437244,58465260,58499891,58519427,58572491,58601027,58615187,58661541,58684907,58700085,58805867,58823291,58849187,58869432,58883267,58925147,59030291,59065427,59092307,59111267,59148587,59159627,59220827,59231387,59255747,59303291,59365307,59399891,59430491,59542187,59587067,59619827,59722787,59733227,59786147,59819891,59828291,59858387,59888291,59902547,59930291,59939507,59953427,59958491,59965547,59970587,59976491,59989067,59994587,59998307,59998667,60026941,60050044,60084482,60088165,60291592,60323652,60693148,60833950,61112545,61175728,61324153,61520378,61655644,61753341,61868000,61960260,61966317,62362944,62424925,62425058,62613424,62615548,62670342,63023757,63192756,63312795,63565414,63705218,63832442,64025533,64845157,65373064,65598458,65641885,65973218,66090944,66228111,66520902,66523624,66594938,66667832,66842618,67213192,67485910,67533648,67662822,67665801,67828041,67891694,68489950,68822694,68968438,69045818,69086262,69305673,69344365,69449430,69601500,69653108,69823437,69864132,70158312,70375165,70440102,70513948,70608002,70782045,71083778,71338504,71439098,71457897,71793122,71910842,72105798,72252424,72394861,72614138,73000740,73077745,73313308,73335054,73393384,73544697,73621384,73769425,74079392,74215273,74235002,74241600,74352312,74607550,74839077,74909910,74921018,75001311,75148538,75268333,75372375,75372693,75500848,75614841,75975354,76023597,76100773,76114270,76327940,76352392,76613378,77134701,77867456,77927068,78053882,78167944,78476437,78770262,78788085,78819458,78928101,79036898,79053333,79191040,79191550,79577978,79753192,79757590,79903904,79951165,79974020,80118645,80255817,80266681,80397200,80554525,80967938,80983092,81013765,81283977,81285242,81672310,81706298,81873244,82020578,82187940,82245550,82567557,82752397,82824057,83034445,83058818,83213238,83339316,83378044,83521800,83646351,84040624,84450198,84534982,84775549,84891362,84938454,84939784,84997317,85068925,85292258,85459888,85491842,85838344,85896441,85988282,86511592,86569021,86579258,86755245,86872802,87088045,87106838,87184264,87256828,87262178,87600888,87667136,87693294,87938937,88098441,88513917,88523310,89033181,89089920,89287275,89325244,89362562,89504485,89529060,89722341,89891892,90327657,90371193,90419252,90446850,90448501,90538984,90570938,90724245,90818749,90985192,91337124,91593528,91671868,91827025,91934978,92024762,92203898,92538928,92544904,92683885,93090938,93266618,93710044,93798237,93831668,93962025,93963578,94424864,94430157,94545702,94991738,95029248,95029860,95076482,95239760,95245538,95437893,95497664,95557257,95610788,95709108,95901321,95941398,95968824,96142374,96353961,96476640,96568137,96597244,96665430,96772528,96919165,96951985,97205224,97216518,97229282,97317645,97325541,97344741,97457788,97551842,97872098,98006772,98027365,98082297,98363881,98427002,98526340,98550999,98601148,98625528,98694660,99130082,99504440,99505861,99641334,99855592,...,7147585717405178159510217684646847826520848172984749083605574920681536981074824703883044335616756780574329794660349784322175129696348926304512969738228270589989027653760222491011141340756260459468273281644720025494998419893666110192972212659091198332794997007430852101464555734863072581177907044052067013052523771004620744977864220090652636902253716009315271195104720935251617865816358676792813156837439052555422686877884180464078078391283061791810591328884224946829323295968135432803109018647922773249597557883172615524732092004402235678233827446263760168846008176703755393558808553888641890527241515660748083460322612442352178150600047758989141673654332991826766179757458553312278115354919989597532325901201939623412168285846970527805730552441461058224742658535659584134139171089621892799599335135958063250312238217446159897061948591282582722128261080174584215936458887171052141516075567523017585041032970549926774469089421955164438941674889560256002910366212177452122206621007771274058676346568443455447430708438926854055831046923789869305294661778583642721022311157034858355652858954153790597959206323928994130895337097377538296006847437597549408235811303602630880936183591987700763762589452521195165700768450948441874263182949381191084252361611953908930191696566477484282284878422432139675771592287410015079203594686130943477979998044597985033065081492479965287236310983096402863517661816813159459747322871831053760627808715943315428664770147519588024338193725711989803354440537749320561059236482882407085079732659666982094275347154342248971043284200426014811412365843114843106913437629456916056782039183224204306619244870463071563892047330877730133183389799975697138168593729306865438535545080230465244258317978710524461135116348667026917904900897755530546320035673258428477489701636669588121359003513116851789392918850628095748735566126265005135002817020723058744429586464270545155324773238213412663069404276563149312492618700142633838561128260964093815458104500654952537419536396507514893142244278964876851324372763468477481357938076035629824495824625291424866175215907056165636637959485685963088688542583862081023812934181118157298049377622735373243021316048017943482408508474456590045524697597488018067271783095491251500398509941862195542325051302093726127338822773013904057024474239722342903472856292462400652120339468119723705833149810074516494692029600818418932044566951942720240793798678103512041679936151185477302295156428897328846252281086204871281}
15493  2393059768240370584910514888141765997818656593533370203278742171: {15493,789123,1067223,1345107,1408043,2011490,2057111,2177463,2382842,2413788,2613923,2858435,2938730,3404060,3430122,3526476,3681146,3818867,4084872,4112067,4423562,4595481,4648343,4705235,4937943,4978442,5079431,5212803,5258780,5268791,5646282,5825027,6036087,6065416,6310536,6371351,6462698,6640490,6752087,6823593,6833762,7099353,7112060,7256330,7302647,7428083,7464635,7486028,7876043,7968588,8123325,8228987,8534472,8664880,8707596,8766327,8864282,8957562,9095927,9101930,9601281,9670625,9711131,9747990,9754235,9857738,10394103,10397856,10629203,10667555,10922316,11008007,11091143,11251490,11259976,11564828,11604750,11697588,11705082,11732651,11744643,12014103,12034835,12082682,12160043,12378400,12570602,12663260,12667473,12801066,13411468,13424723,13501788,13654151,13776311,13852835,13925700,13925978,14429523,14441802,14719691,14854080,15080325,15195912,15212555,15257303,15320522,15816827,15844352,15844490,16030083,16085680,16117235,16276922,16296087,16450504,16553171,16623402,16710840,16760930,16846571,17018186,17095401,17357943,17371490,17471555,17622867,17807387,17824896,17863667,17864385,17895962,17907911,17987882,18096390,18255066,18432227,18506817,18544043,18588556,18799695,19013388,19055344,19159240,19179671,19302816,19340682,19397963,19505930,20053008,20113116,20589803,20595626,20619035,20845788,20903272,20965866,21028130,21083531,21267125,21294791,21361187,21383843,21437262,21554145,21715668,21751562,21886460,22031925,22311244,22559634,22718762,22991088,23034746,23396547,23407116,23500720,23516181,23825543,24066530,24246551,24271607,24522083,24652346,24742842,25092424,25233756,25464791,25520550,25565660,25582730,25864974,26139347,26263752,26417555,26438310,26491490,26501763,26525905,26555080,26759127,26766938,26918123,27221920,27399530,27466967,27597885,27747035,27965447,28200864,28228977,28339811,28653611,28810263,28879836,29095322,29123291,29320887,29437744,29500787,29546721,29696147,29704636,29874465,29955635,30085203,30090827,30119330,30135578,30421130,30453596,30624660,30678792,30699276,31073660,31160843,31701066,31725972,31789788,31831086,31861047,31866096,31966562,31997896,32458547,32582747,32666304,32677388,32827322,32854625,32871063,32879436,32906780,32980067,33117462,33138491,33163845,33244043,33244523,33296442,33605925,33875591,34036490,34128723,34297163,34345835,34425443,34513641,34555946,34637930,34844282,35374768,35443991,35447944,35736491,35846320,35849358,35946762,35997633,35998547,36129747,36143196,36188042,36374284,36505356,36749592,36772631,36958792,36979691,37288392,37430327,37621443,37672967,37869303,37894150,37962587,38225282,38355083,38492891,38510027,39046967,39286401,39425550,39488136,39796614,39878937,39925384,40078871,40327110,40380002,40403891,40431635,40581507,40843788,40886411,40933730,41071827,41215002,41316663,41343291,41549483,41551898,41561283,41565516,41578641,41882867,41949441,42053920,42161546,42293847,42414107,42432323,42854325,43015584,43165451,43433402,44235818,44318423,44424153,44515490,44735435,44913482,44916057,44946971,45472980,45625643,45711280,45787336,45883307,46019555,46763042,46769525,46918396,47210483,47310660,47314487,47353787,47465882,47474925,47491490,47606583,48095291,48268403,48392532,48504512,48517962,48569111,49003235,49013207,49041287,49120476,49243285,49788232,49793147,49986903,50255018,50269384,50415436,50464704,50639920,50713346,50922938,50932983,51052130,51123635,51425190,51510753,51682091,52025306,52026923,52391555,52532330,52744763,52755143,52790882,52828130,53202887,53418588,53528762,53682522,53767547,54134500,54488738,54567576,54589523,54682743,54786746,54853536,55123451,55223466,55295243,55327427,55337435,55521947,55756835,56011761,56123430,56259962,56336858,56553057,56772792,56969910,56989788,57181811,57201431,57255530,57385943,57829576,57847283,58208171,58258442,58334353,58636545,58786547,58803882,58811543,59016962,59091942,59301388,59384546,59520387,59864992,60230780,60402722,60431043,60555443,60658167,60766691,60767904,60920618,61189367,61262556,61322325,61348362,61388523,61664930,61710228,61836956,62241987,62250842,62259191,62421191,62545648,62692563,62831555,62869866,63038796,63220871,63380138,63393756,63648107,63815223,63869391,64219211,64244378,64316507,64418711,64818827,64819468,64908602,64961400,65058273,65090824,65155287,65179490,65186147,65410480,65951546,66044343,66063242,66159827,66404922,66528491,66660707,66808343,66908202,66929943,66980085,67026280,67055627,67150803,67348116,67471907,67813427,67814603,68055112,68134024,68171435,68335388,68363892,68393627,68396951,68649347,68706636,68946551,69292160,69692771,69747491,69751907,69784043,69895367,69915916,69976091,70347550,70363854,70484906,70569707,70655187,70730747,70878698,71201546,71445424,71522643,71572091,72030971,72276936,73046555,73081575,73093523,73227177,73253843,73535546,73586790,73997916,74051927,74304611,74318007,74322311,74356028,74402627,74461658,74777402,75062555,75108551,75153788,75364490,75397866,75404565,75407176,75606842,75697643,75866435,75915242,76286231,76315187,76443447,76469660,76562001,76650777,76654803,76677962,76708744,77010026,77069555,77305847,77335000,77450325,77652011,77711987,77843363,77918403,77953680,78215388,78266780,78269435,78492576,78990945,79130042,79221611,79355426,79553867,79612043,80137178,80144337,80274347,80376102,80431536,80822282,80971562,80976791,81043383,81115427,81311553,81716330,81805722,81868503,81994907,82037267,82241687,82279767,82337788,82613680,82621756,83150592,83154530,83304147,83334790,83560456,83972721,84016490,84031676,84257008,84387491,84417060,84514202,84675962,84833073,85054571,85471787,86143683,86291927,86297337,86731331,86913146,87001875,87066385,87268787,87330165,87373643,87655866,87697890,87735947,87759371,87952151,88045562,88142435,88206122,88304148,88567187,88694536,88871891,89173130,89984738,90044864,90075066,90126723,90162467,90208883,90217096,90221068,90315530,90387323,90419591,90437388,90485478,90829802,91039722,91143923,91250925,91354427,91439111,91641635,91741730,91754666,91763592,92026730,92046722,92115016,92280567,92407564,92483466,92599240,92802000,92940390,93097916,93152176,93166487,93544416,93637587,93891962,93920136,93923322,93960218,94005513,94157447,94376060,94454291,94470731,94664171,94735367,94789134,95277196,95348121,95409925,95426891,95440490,95557827,95748663,96141064,96178058,96312107,96615962,96794603,96844346,96922211,96949643,97334320,97408835,97709930,97780072,97895402,98013626,98059596,98181146,98279111,98397687,98563547,98852183,98959827,98988800,99136416,99336407,99371402,99427682,99605507,99623171,99691490,99781353,99785436,99795143,99879880,99892407,99967525,...,9530114289873570879346956912862463768694464230646332111474099894242049308099766271844059114155675707432439726213799712429566839595131901739350626317637694119985370205013629988014855121008347279291031042192960033993331226524888146923962950212121597777059996009907802801952740979817430108237209392069422684070031694672827659970485626787536849203004954679087028260139627913668823821088478235723750875783252070073896915837178907285437437855044082389080788438512299929105764394624180577070812024863897030999463410510896820699642789339202980904311769928351680225128010902271673858078411405184855854036322020880997444613763483256469570867466730345318855564872443989102354906343278071083037487139893319463376434534935919497882891047795960703740974069921948077632990211380879445512185561452829190399465780181277417667082984289928213196082598121710110296171014773566112287915278516228069522021434090030690113388043960733235699292119229273552585255566519413674670547154949569936162942161343695032078235128757924607263240944585235805407774729231719825740392882371444856961363081542713144474203811938871720797278941765238658841193782796503384394675796583463399210981081738136841174581578122650267685016785936694926887601024601264589165684243932508254779003148815938545240255595421969979043046504563242852901028789716546686772271459581507924637306664059463980044086775323306620382981747977461870484690215755750879279663097162441405014170411621257753904886360196692784032450924967615986404472587383665760748078981977176542780106310212889309459033796205789665294724378933901353081883154457486457475884583505942554742376052244298939075492326493950762085189396441170306844244519733300929517558124972409153918047393440307286992344423971614032614846821798222702557206534530340707395093380897677904636652935515559450828478671350822469052523891800837460998314088168353340180003756027630744992572781952360726873766364317617883550759205702084199083323491600190178451414837681285458420610806000873270049892715195343353190856325705286502468432497017957969975143917434714173099327766167055233154900287876074887515517279314247950784918056778482774698417245574824209730732503496980497657361754730690591309878011299275453394032930129984024089695710793988335333864679922482927389766735069458301503118430364018538742699298986296457204630475056616534202827119290826298274444199746766021992922706134424558576059422602590293654391731570804682722239914868247303069726875238529771795003041448273161708}
15494  2403711437451344868939963036315226825363463333111629617969696872: {587974,664393,958582,1033609,1052164,1266982,1422964,1585273,1636534,1793476,2435254,2498953,2771653,2903284,3017235,3108982,3218384,3353494,3405433,3574263,3620682,4024582,4215109,4255075,4408095,4573496,4662409,4701968,4997254,5106090,5145183,5289714,5300374,5307239,5446496,5482054,5482756,5521719,5640133,5905414,6127308,6345733,6521413,6573475,6583924,6635343,6809974,6950404,6959353,6990454,7110694,7467663,7528376,7581770,7650982,7888170,8048116,8176009,8414048,8469423,8521033,8890075,8906614,9036409,9098124,9357535,9465804,9549193,9694047,9852479,9960735,9974533,10036582,10250643,10624784,10668090,10688134,10735609,10831100,10884495,11155909,11229042,11379296,11610128,11688436,11907913,11943416,11952882,12102982,12337894,12631174,12801708,12982582,12997320,13061394,13216534,13296423,13436343,13639909,13652895,13858582,13858804,13863808,14074970,14372473,14382454,14394191,14456035,14563088,14621985,14786607,14938213,15252694,15340153,15473000,15596784,15606776,15657574,15659524,15660409,15740293,15829075,16018804,16176982,16383474,16535173,16673426,16764335,16772233,16810054,16877235,16889964,16982374,17068088,17165893,17322853,17347242,17407125,17546382,17557623,17898982,18002384,18124023,18241654,18290363,18413509,18567600,18722533,18855903,18994890,19038982,19201599,19239364,19255736,19606582,19805440,20023033,20107100,20117202,20252682,20261216,20563130,20578591,20778313,20888550,20888967,20962294,21373444,21377353,21636694,21662703,21728116,21804934,21955871,22140982,22164536,22281120,22420582,22488133,22643974,22793868,22980783,23000953,23143924,23235695,23497156,23757094,23766528,23766735,23819180,23949050,24128520,24145174,24340088,24415383,24446713,24587734,24661093,24675756,24935103,24974134,25066260,25139494,25141395,25249654,25351184,25371013,25441609,25527279,25737088,25758026,25787576,26057235,26129090,26737344,26817488,26843943,26981823,27058054,27144585,27183109,27358075,27382599,27384982,27594373,27794384,27882834,27889055,27935113,27954488,27998159,28274053,28520082,28583016,28738860,28954224,29011023,29258895,29280073,29334454,29375900,29818582,30079512,30169674,30465913,30622582,30654784,30836374,30856009,30893439,30952922,31016951,31195396,31209488,31268682,31354908,31365530,31422982,31448799,31542195,31742134,31957075,32155893,32272774,32338943,32573502,32627343,32704933,32829690,32990456,33012982,33193850,33466866,33539782,33645008,33839451,34027400,34078143,34250233,34486632,34552119,34674853,34855753,34934711,35018336,35110674,35251080,35335684,35454073,35513509,35579014,35678836,36099795,36103909,36687109,36797180,36978519,37033573,37114263,37130795,37388374,37601152,37638636,37831909,37850634,38057413,38066995,38280825,38348490,38374095,38413684,38506448,38616133,38797461,38842075,39094516,39395628,39495109,39657465,39685894,39737235,39819973,39832620,39997370,40063919,40113604,40150407,40514953,40832880,40846735,40905056,40932368,40948294,41099295,41133475,41500582,41550694,41611909,41801014,41980367,42268088,42301296,42325573,42386384,42441448,42481396,42488128,42577033,42876409,43074553,43319754,43418533,43443094,43555072,43564703,43642983,43739782,43828084,43839248,43937254,43985711,44156616,44218460,44309930,44381893,44390723,44395256,44556954,44675494,44773654,44807900,44920774,45039109,45178995,45203367,45270409,45467855,45504964,45545593,45631695,45680394,45727609,45936990,45995254,45998473,46018188,46048914,46177609,46198490,46355593,46399909,46610490,46723414,46795513,47271109,47551599,47588958,47684682,47688694,47737993,47746629,47799144,47880982,47929016,47949843,47996844,48113509,48172996,48190928,48564553,48673808,48886294,48967033,48999456,49016082,49126009,49240983,49314982,49319154,49360170,49518409,49552582,49676193,49717856,49837174,49906730,49944663,50055673,50131273,50161924,50467909,50492404,50504953,50600879,50871433,51016774,51054735,51157654,51230713,51512953,51672982,51833919,51956895,52266423,52381868,52431493,52567400,52650848,53062152,53171916,53484454,53665609,53769480,53774037,53807014,53920143,54108676,54189487,54214794,54282063,54458384,54561426,54632854,54727442,54758034,54762436,54953336,55060933,55087609,55088884,55124388,55246153,55415044,55420688,55438188,55504633,55755913,55816582,55932588,56391796,56421193,56494582,56534053,56841225,56954471,57139100,57213733,57234170,57273673,57337923,57354112,57437734,57468793,57616582,57656713,57675109,58018054,58027909,58044793,58095013,58111609,58273609,58336393,58413253,58590373,58633033,58647995,58716409,58862533,58900873,58987813,59047753,59082853,59138325,59232204,59248633,59407609,59435014,59497609,59548223,59610982,59617271,59691109,59694921,59724409,59844613,59888076,59890693,59943109,59981413,60000133,60015973,60093574,60490665,60570003,60630640,60879094,61265682,61399894,61400595,61572982,61822503,62219782,62235290,62327847,62348274,62477494,62514746,62606134,62691814,62820214,62836730,63019295,63080880,63242319,63299900,63475444,64096294,64523376,64690616,65150103,65493968,65775334,65981279,66024982,66353727,66420343,66649204,66773235,66894214,67120151,67286272,67370223,67668125,67910644,68209470,68327254,68441087,68489782,68566920,68681004,68733094,68935414,69298582,69660454,70061014,70140934,70144563,70377594,70857334,70965990,71043698,71134534,71198823,71224784,71237235,71576696,71725894,72078982,72286970,72473999,72588798,72625654,72756768,72776943,72910324,73091734,73115399,73138048,73207894,73631288,73680714,73724882,73786534,74055334,74126735,74682348,74831240,74970982,75122762,75288475,75311974,75382527,75404076,75623154,75666539,75697056,75726982,75871459,75959880,75986384,76070019,76384407,76439254,76513894,76578195,77137785,77182774,77296195,77607719,77993254,78037959,78103174,78182060,78405176,78504982,78723334,78789256,78798495,78939959,79186323,79194454,79242195,79360516,79590982,79626934,80127882,80293143,80523783,80574724,80600639,80877556,80981254,81016582,81023872,81024335,81201750,81228214,81363530,81508154,81683408,81733107,81754774,81763100,81797816,81851364,82068982,82180119,82280304,82835199,82989316,83072614,83590084,83782850,83826488,84051728,84123431,84130582,84185145,84389943,84502294,84505287,84525008,84603334,84939094,85068890,85086964,85159188,85167530,85339894,85419235,85454865,85484682,85557563,85883295,86593894,86615200,86744364,86789782,86873716,87114982,87387663,87394895,87406294,87708959,88059124,88205823,88240582,88525443,88539896,88637913,88748614,88906534,88952082,89076819,89210936,89239924,89306780,89534404,89797488,90346170,90604083,91075414,91151856,91380927,91608848,91770934,91893834,91898639,91950982,91980934,92022543,92249782,92497395,92565342,92665414,92755434,92945035,93312214,93376263,93399814,93818472,93942235,93980134,94206916,94258970,94304799,94480274,94558194,94749143,94860623,95070207,95090634,95121574,95290582,95363524,95430982,95587075,95598934,95885930,96366567,96369248,96668750,97082111,97229202,97246774,97362903,97442100,97636236,97729894,97769235,97833475,97889782,97916374,98115720,98525231,98663888,98927319,99090676,99094863,99096454,99173974,99607383,99991894,...,14295171434810356319020435369293695653041696345969498167211149841363073962149649407766088671233513561148659589320699568644350259392697852609025939476456541179978055307520444982022282681512520918936546563289440050989996839787332220385944425318182396665589994014861704202929111469726145162355814088104134026105047542009241489955728440181305273804507432018630542390209441870503235731632717353585626313674878105110845373755768360928156156782566123583621182657768449893658646591936270865606218037295845546499195115766345231049464184008804471356467654892527520337692016353407510787117617107777283781054483031321496166920645224884704356301200095517978283347308665983653532359514917106624556230709839979195064651802403879246824336571693941055611461104882922116449485317071319168268278342179243785599198670271916126500624476434892319794123897182565165444256522160349168431872917774342104283032151135046035170082065941099853548938178843910328877883349779120512005820732424354904244413242015542548117352693136886910894861416877853708111662093847579738610589323557167285442044622314069716711305717908307581195918412647857988261790674194755076592013694875195098816471622607205261761872367183975401527525178905042390331401536901896883748526365898762382168504723223907817860383393132954968564569756844864279351543184574820030158407189372261886955959996089195970066130162984959930574472621966192805727035323633626318919494645743662107521255617431886630857329540295039176048676387451423979606708881075498641122118472965764814170159465319333964188550694308684497942086568400852029622824731686229686213826875258913832113564078366448408613238489740926143127784094661755460266366779599951394276337187458613730877071090160460930488516635957421048922270232697334053835809801795511061092640071346516856954979403273339176242718007026233703578785837701256191497471132252530010270005634041446117488859172928541090310649546476426825326138808553126298624985237400285267677122256521928187630916209001309905074839072793015029786284488557929753702648745526936954962715876152071259648991649250582849732350431814112331273275918971371926177377085167724162047625868362236314596098755245470746486042632096035886964817016948913180091049395194976036134543566190982503000797019883724391084650102604187452254677645546027808114048948479444685806945712584924801304240678936239447411666299620149032989384059201636837864089133903885440481587597356207024083359872302370954604590312857794657692504562172409742562}
15495  2414410142750188210163250199101648042688931306868885333971825256: {30986,881961,1315205,1437873,1578246,1778705,1872233,1900473,2134446,2241845,2454801,2690214,2816086,2892329,3629105,3652881,3911633,4001809,4022980,4114222,4354926,4468229,4663473,4765684,4827576,5030241,5227846,5431023,5716870,5877460,6036873,6226753,6587329,6808120,6853445,6860244,6964793,7052952,7362292,7495881,7637734,7659135,7934571,7950561,8169744,8223081,8224134,8229905,8630401,8688005,8847124,8858121,9190962,9296686,9410470,9875886,9956884,10060145,10158862,10214961,10300481,10425606,10450489,10485681,10517560,10537582,10666041,10853617,11292564,11372655,11476473,11650054,11832255,12037553,12072174,12130832,12621072,12742702,12925396,13280980,13359921,13504174,13538875,13647186,13655929,13667524,14061113,14198706,14224120,14512660,14605294,14610545,14856166,14929270,14934577,14972056,15054873,15752086,15937176,16002135,16032201,16246650,16457974,16843563,16848769,17068944,17090513,17323505,17329760,17415192,17532654,17694769,17728564,17915124,17929323,18098729,18154473,18191854,18203860,18506841,18946761,19202562,19341250,19393969,19422262,19473873,19495980,19508470,19574405,19592091,19715476,19824801,20023505,20787873,20788206,20795712,20915441,21112455,21258406,21297577,21335110,21573681,21783541,21844632,22016014,22182286,22502980,22519952,22564129,22879041,23129656,23209500,23395176,23410164,23465302,23486361,23489286,23689781,24028206,24049205,24069670,24165364,24265473,24320086,24460177,24575211,24756800,25010139,25133875,25141204,25149833,25215081,25326520,25334946,25473561,25602132,25909253,26020863,26319573,26402309,26716805,26822936,26848473,26849446,27003576,27160145,27308302,27362481,27552622,27705670,27851400,27851956,28492335,28558473,28859046,28866649,28883604,28929905,29371445,29409873,29439382,29708160,29773975,30084961,30094753,30160650,30175803,30379023,30391824,30425110,30514606,30641044,30844695,31332825,31443441,31489001,31633654,31688704,31688980,32060166,32171360,32234470,32455041,32460961,32553844,32592174,32707401,32901008,33106342,33126929,33211473,33246804,33421680,33466373,33521860,33630873,33693142,33965961,34020809,34036372,34190802,34715886,34742980,34829833,34943110,35245734,35614774,35635641,35649792,35727334,35728770,35791924,35815822,35923575,35975764,36192780,36217761,36510132,36719875,36864454,36881601,36984577,37013634,37026881,37037137,37088086,37136267,37177112,37461201,37599390,37709241,37874481,38026776,38110688,38154289,38318480,38359342,38360101,38605632,38637039,38681364,38795926,38828357,38845849,38994245,39011860,39193635,39688037,39918041,40106016,40226232,40370593,40587081,41077473,41179606,41191252,41238070,41691576,41806544,41824251,41888353,41931732,41937889,42056260,42058313,42167062,42534250,42589582,42722374,42767686,42780123,42874524,43046729,43108290,43431336,43503124,43772920,44001681,44063850,44169605,44235841,44598545,44622488,44727873,44779913,45119268,45254511,45437524,45696577,45933873,45982176,45996475,46069492,46254561,46429383,46554857,46793094,46814232,46903023,47001440,47032362,47048295,47134473,47424361,47613201,47651086,47658977,47750053,48017105,48084169,48102641,48133060,48409161,48493102,48543214,48860253,48868145,49044166,49047673,49244535,49304692,49485684,49519473,49636889,49790775,50142005,50184848,50200299,50309673,50467512,50929582,51041100,51131320,51165460,51313049,51729948,51906833,52222081,52278694,52527504,52666011,52835110,52876620,52982980,53003526,53051810,53101745,53110160,53368521,53518254,53527337,53533876,53836246,54443840,54785105,54799060,54933934,55130629,55195770,55273075,55494070,55917121,55930894,56009875,56082561,56401728,56457954,56604289,56679622,56775951,56881205,57202933,57307222,57522735,57620526,57759672,57762337,57777929,58190644,58246582,58641774,58753673,58875488,59001574,59093442,59392294,59409272,59528841,59748930,59911270,59996055,60170406,60181654,60216245,60238660,60271156,60842260,60874721,60902117,60907192,61249320,61357584,61398552,61422441,61902517,62147320,62250873,62321686,62326041,62629609,62701521,62702405,63115505,63402132,63451944,63579576,63620513,63662172,63722094,63732192,63933124,63995792,64246697,64427377,64917094,64973609,64979631,65164641,65165494,65332608,65354776,65477335,65609673,65654644,65709250,65742126,65758872,65813560,65905881,65960134,66234924,66276982,66327690,66464895,66488086,66489046,66531113,66592884,66835431,67013241,67160481,67211850,67381161,67564241,67635845,67751182,67980721,68072980,68257446,68402533,68453045,68520591,68594326,68604529,68691670,68850886,68861105,68905485,68940599,68955529,68992881,69027282,69073371,69111892,69268805,69275860,69297735,69688564,69915735,70085121,70489745,70749536,70887982,70895888,71366273,71383437,71423875,71472982,71527023,71533041,71573089,71680153,71692640,71698716,71821473,71893524,71995266,71997094,72040369,72259494,72286392,72376084,72748568,73010712,73329441,73348177,73499184,73524123,73545262,73917584,73959382,73972473,73978731,74040255,74093057,74328873,74499169,74576784,74755761,74860095,74860654,75242886,75345934,75738606,75788300,75925174,76450564,76525161,76710166,76736481,76985782,77020054,77142329,77472409,77509473,78059569,78093934,78572802,78785617,78851100,78976272,79124875,79344305,79354817,79593228,79757874,79850768,79992337,80143141,80157742,80226681,80654220,80710521,80760004,80807782,80863270,81163014,81242257,81322191,81687576,81692761,81702629,81772822,81794821,81842139,81867460,81949281,82091163,82137051,82143654,82428853,82430004,82633326,82686582,83098966,83103796,83122566,83131032,83157282,83311505,83724873,83735801,83765734,83898882,84107840,84323092,84587694,84741873,84828214,84864646,84888305,85520209,85708650,85851255,86031168,86156601,86330902,86424873,86866804,87027081,87231797,87964177,88471636,88636846,88848306,89030980,89152521,89257769,89416473,89470870,89826964,89832114,89893942,90140361,90945960,91137905,91251286,91318641,91366393,91422560,91525801,91574672,91766614,91805381,91898523,92039110,92099841,92359473,93329673,93352935,93522411,93526084,93539050,93716241,93772119,93836792,93909201,94037721,94230321,94255095,94420966,94621320,94628974,94707574,94931764,94949850,94982980,95213166,95440009,96144441,96189929,96190582,96324673,96536806,96771977,96785064,96935017,97009024,97035924,97133993,97138222,97194721,97727575,98006470,98026414,98082574,98240952,98486570,98663001,99037473,99200645,99576464,99586294,99636169,99973806,...,21442757152215534478530653053940543479562544518954247250816724762044610943224474111649133006850270341722989383981049352966525389089046778913538909214684811769967082961280667473033424022268781378404819844934160076484995259680998330578916637977273594998384991022292556304393667204589217743533721132156201039157571313013862234933592660271957910706761148027945813585314162805754853597449076030378439470512317157666268060633652541392234235173849185375431773986652674840487969887904406298409327055943768319748792673649517846574196276013206707034701482338791280506538024530111266180676425661665925671581724546982244250380967837327056534451800143276967425020962998975480298539272375659936834346064759968792596977703605818870236504857540911583417191657324383174674227975606978752402417513268865678398798005407874189750936714652338479691185845773847748166384783240523752647809376661513156424548226702569052755123098911649780323407268265865493316825024668680768008731098636532356366619863023313822176029039705330366342292125316780562167493140771369607915883985335750928163066933471104575066958576862461371793877618971786982392686011292132614888020542312792648224707433910807892642808550775963102291287768357563585497102305352845325622789548848143573252757084835861726790575089699432452846854635267296419027314776862230045237610784058392830433939994133793955099195244477439895861708932949289208590552985450439478379241968615493161281883426147829946285994310442558764073014581177135969410063321613247961683177709448647221255239197979000946282826041463026746913129852601278044434237097529344529320740312888370748170346117549672612919857734611389214691676141992633190399550169399927091414505781187920596315606635240691395732774953936131573383405349046001080753714702693266591638960107019775285432469104910008764364077010539350555368178756551884287246206698378795015405008451062169176233288759392811635465974319714640237989208212829689447937477856100427901515683384782892281446374313501964857612258609189522544679426732836894630553973118290405432444073814228106889473487473875874274598525647721168496909913878457057889266065627751586243071438802543354471894148132868206119729063948144053830447225525423369770136574092792464054201815349286473754501195529825586586626975153906281178382016468319041712171073422719167028710418568877387201956361018404359171117499449430223549484076088802455256796133700855828160722381396034310536125039808453556431906885469286691986538756843258614613843}
15496  2425156090195300578852756142715202868953229993379088390743299758: {46479,355879,448543,818479,1175948,1279279,1328786,1738279,1917164,2067218,2104183,2104328,2367369,2533964,2559943,2845928,3013903,3170546,3201669,3273068,3466063,3556279,3586952,4006279,4035321,4096063,4224129,4870508,4997906,5028725,5256703,5434183,5543306,5806568,5876623,5957105,6034470,6171333,6217964,6317263,6436768,6532389,6668479,6706988,6810866,7148526,7193143,7241364,7346825,7841769,8049164,8321023,8430218,8510150,8575305,8816190,8923303,9146992,9180343,9202865,9324818,9403936,9692479,9994508,10117279,10212180,10290366,10579428,10600748,10614478,10892992,10961479,10964108,10965512,11043438,11058905,11280266,11380879,11456601,11715103,11810828,12131263,12254616,12297223,12336201,12446105,12545623,12628279,12691466,13042826,13100549,13146950,13167848,13270686,13619948,13777903,13786443,13859479,13900808,13918706,13945029,13980908,14115705,14185063,14221388,14813829,14935326,15056752,15154903,15163540,15238293,15301964,15638409,15776340,15806373,15955183,16096232,16156745,16352018,16601225,16828096,16938846,17042066,17063479,17084405,17475081,17780150,17813228,18072818,18108261,18140825,18196248,18312823,18699463,18715070,18931608,19098386,19114053,19388094,19704958,19848583,19921470,19949066,20073164,20228023,20238449,20256261,20470779,20501286,20831383,20981503,21249568,21298059,21336180,21376268,21471218,21662200,21768990,21907941,22024279,22160705,22284249,22311818,22393279,22393905,22458084,22466863,22687183,22754825,22758592,23052943,23220256,23376872,23416903,23470069,23628129,23815826,23851279,23886832,23905764,24205964,24320153,24369975,24497983,24644345,24675788,24686961,25209703,25262348,25562863,25603416,25965164,25994640,26122788,26298981,26433068,26592846,26680879,26872686,26957503,27279818,27287781,27301663,27305790,27438823,27717164,27717608,27727616,28120303,28128725,28149940,28458343,28744946,28764908,28788382,28803843,28912070,29011875,29126176,29133393,29243970,29262705,29573214,29660383,29876426,29990143,30206705,30448783,30505388,30680306,30709279,30946000,31182309,31193568,31213552,31315148,31319048,31320818,31355479,31426505,31480586,31658150,31887609,31930903,32002665,32037608,32057983,32353964,32529973,32766948,32939479,33024021,33070346,33273429,33312943,33346852,33528670,33544466,33620108,33754470,33779928,33964748,34136176,34331786,34417783,34645706,34694484,34814250,34814945,35081479,35092764,35115246,35197953,35233929,35797964,35913583,35972479,36004768,36042309,36104505,36248046,36480129,36483308,36580726,36789463,36827018,37077823,37135200,37192663,37445066,37478503,37705879,37711806,37989780,38002419,38077964,38269279,38301305,38403198,38478728,38511472,38603863,39044677,39045943,39213164,39610880,39611225,39862423,40046066,40214200,40234404,40237903,40274169,40505364,40522432,40662703,40692305,40962453,41030623,41126260,41157182,41328933,41556626,41558505,41777100,41777934,41902325,41924588,42214663,42467023,42545465,42746888,42754706,42767479,43000133,43273388,43288569,43325406,43428725,43456232,43609868,43798663,43911742,44159073,44278543,44281964,44329072,44421103,44562240,44739905,44841164,44938279,44969705,44976266,45240975,45287948,45354943,45583903,45587736,45637665,45771909,45961566,46001906,46036423,46081279,46287848,46348903,46471390,46525879,46919863,46994312,47450481,47514188,47533056,47533470,47563543,47638360,47816479,47898100,48025279,48090249,48257040,48290348,48351705,48396583,48680176,48764825,48830766,48882583,48888261,48893426,49118729,49175468,49322186,49351512,49436479,49592143,49613161,49630879,49659513,49785103,49870206,49948268,50132520,50278988,50282790,50353183,50390479,50427703,50499308,50539713,50702368,50742026,50883218,51054558,51263983,51286203,51474176,51489065,51516052,51575152,51857623,51983113,52073829,52114470,52129783,52258180,52297543,52414665,52529383,52570325,52692823,52868601,53293793,53297479,53422161,53474688,53591001,53593155,53634976,53687886,53723733,53726383,53905879,53963646,54053479,54116108,54199279,54289170,54366218,54378905,54485479,54597943,54716150,54765198,54769964,55188746,55296681,55300879,55520451,55583623,55588768,55632129,55659223,55765668,55778110,55808479,55870226,55908976,55996318,56264023,56399085,56493343,56548106,56796905,57040164,57076543,57166032,57185429,57477720,57539013,57550879,57586865,57644479,57808423,57844063,57896983,57908448,57926693,58000879,58022046,58102183,58193889,58517790,58560146,58627279,58668908,58751800,58845583,58910023,59138479,59183263,59194279,59258863,59310703,59408983,59446279,59623183,59637164,59645863,59786479,59872303,59946823,59963383,59991103,59995783,60002263,60006223,60020479,60025879,60029479,60159024,60166325,60339348,60931826,61245164,61309568,61630865,61672748,61712018,61769409,61786878,61857105,61905844,62033902,62390792,62418976,62537364,62709816,62731060,62845964,62897598,63084390,63250593,63484268,63654997,63801375,63884373,63914150,63956825,64042121,64083561,64151529,64311786,64545548,64662435,64677886,65147004,65254686,65409866,65659380,65980912,66025964,66095775,66228725,66387700,66917345,66933732,67079564,67290016,67678902,68054800,68156286,68498825,68500466,68973264,69104238,69349706,69711506,69869422,70036672,70189641,70221348,70502160,70548543,70671368,70908146,71027018,71158028,71357672,71476629,72199590,72207818,72738305,72739653,72814821,73374218,73566249,73594360,73957038,74067146,74228526,74234501,74261590,74776748,75202304,75277272,75298325,75338945,75663818,75701268,76052825,76114826,76133990,76394373,76561650,76696980,76748190,76827368,77012896,77232266,77594922,77684150,78189032,78418041,78496769,78791256,78990218,79252665,79314930,79371788,79474470,79505289,79577715,79639946,79665240,79916405,79994740,80127838,80227208,80277381,80300814,80754369,80884921,81029906,81665760,81693470,81810112,81864736,81896588,82068305,82107193,82198590,82266950,82400901,82793655,83001164,83101388,83223818,83241105,83602028,83725697,83896341,83960734,84536176,84602592,84651146,84686931,84772768,84797513,84882896,84962792,84976256,85019433,85091225,85154066,85752818,85960833,86149106,86389865,86430789,86594825,86639508,86837066,86886188,87110144,87110705,87129406,87285966,87369873,87479564,87656168,87678496,87733349,87874508,87962661,87971422,88227013,88313232,88436920,88502361,88619860,88640163,88763786,88781446,88790512,89088441,89113908,89350988,89547308,89615800,89623395,89839541,89841548,89866905,90078218,90255609,90272481,90357990,90406734,90470105,90540818,90935710,91009928,91091186,91263390,91360788,91455218,91873980,91990508,91996946,92036376,92097828,92355218,92396980,92711186,92799818,93220980,93446828,93482529,93591026,94542218,94735375,95103198,95177916,95369364,95377388,95475986,95493258,95563205,95583141,95598288,95761964,95858032,95899686,95993688,96227018,96345992,96381856,97129106,97347616,97375641,97748241,97772588,97934066,97998912,98032164,98252018,98481966,98563875,98613189,98629964,98638308,98720340,98940201,99036818,99105164,99352386,99415473,99435712,99491535,99674348,99732129,99733569,99813460,99889326,...,28590342869620712638040870738587391306083392691938996334422299682726147924299298815532177342467027122297319178641399137288700518785395705218051878952913082359956110615040889964044565363025041837873093126578880101979993679574664440771888850636364793331179988029723408405858222939452290324711628176208268052210095084018482979911456880362610547609014864037261084780418883741006471463265434707171252627349756210221690747511536721856312313565132247167242365315536899787317293183872541731212436074591691092998390231532690462098928368017608942712935309785055040675384032706815021574235234215554567562108966062642992333841290449769408712602400191035956566694617331967307064719029834213249112461419679958390129303604807758493648673143387882111222922209765844232898970634142638336536556684358487571198397340543832253001248952869784639588247794365130330888513044320698336863745835548684208566064302270092070340164131882199707097876357687820657755766699558241024011641464848709808488826484031085096234705386273773821789722833755707416223324187695159477221178647114334570884089244628139433422611435816615162391836825295715976523581348389510153184027389750390197632943245214410523523744734367950803055050357810084780662803073803793767497052731797524764337009446447815635720766786265909937129139513689728558703086369149640060316814378744523773911919992178391940132260325969919861148945243932385611454070647267252637838989291487324215042511234863773261714659080590078352097352774902847959213417762150997282244236945931529628340318930638667928377101388617368995884173136801704059245649463372459372427653750517827664227128156732896817226476979481852286255568189323510920532733559199902788552674374917227461754142180320921860977033271914842097844540465394668107671619603591022122185280142693033713909958806546678352485436014052467407157571675402512382994942264505060020540011268082892234977718345857082180621299092952853650652277617106252597249970474800570535354244513043856375261832418002619810149678145586030059572568977115859507405297491053873909925431752304142519297983298501165699464700863628224662546551837942743852354754170335448324095251736724472629192197510490941492972085264192071773929634033897826360182098790389952072269087132381965006001594039767448782169300205208374904509355291092055616228097896958889371613891425169849602608481357872478894823332599240298065978768118403273675728178267807770880963175194712414048166719744604741909209180625715589315385009124344819485124}
15497  2435949486740635273717155135129559540426332248843222343851718798: {15497,61972,1469935,1763922,1841287,1993179,2212639,2396455,2490187,2630410,2875746,3100827,3138583,3156492,3167455,3232603,3418207,3557410,3744466,3800946,4091335,4268892,4483690,4622839,4755819,4909602,4993903,5080747,5380428,5632172,5784658,6088135,7258210,7304539,7305762,7496859,7617343,7772455,7823266,7981963,8003618,8045960,8173579,8228444,8231119,8314959,8383735,8709852,8936458,9051705,9326946,9531368,9594823,9655152,9713647,10012123,10060482,10061455,10216299,10455692,10722789,10760983,10862046,11010859,11433740,11521867,11754920,12073746,12163207,12376639,12453506,12493135,12645327,12765225,12984199,13174658,13224285,13250935,13616240,13705135,13706890,13720488,13899727,13929586,13987227,14084203,14105904,14226199,14724584,14763535,14991762,15275468,15318270,15435549,15869142,15901122,15921717,16339488,16446162,16448268,16459810,16565157,16617679,16676587,16920399,17024935,17260802,17376010,17428939,17476135,17555407,17694248,17716242,17776735,18342703,18381924,18437023,18593372,18820940,18954425,19037199,19108639,19127455,19564239,19720425,19751772,19906029,19913768,20120290,20197879,20317724,20429922,20454763,20600962,20683543,20851212,20878059,20900978,20971362,21035120,21075164,21332082,21389407,21456523,21624439,21707234,22266535,22402989,22585128,22745310,22952946,23130943,23286583,23300108,23664510,24075106,24144348,24252907,24261664,24528027,25091455,25242144,25323559,25366567,25408269,25485404,25563099,25850792,25858279,26473183,26561960,26670225,26719842,26720335,26803207,26925127,27008348,27077750,27109227,27173119,27294372,27311858,27335048,27404167,27963487,28032907,28072605,28122226,28141003,28397412,28448240,28647579,29025320,29082141,29140639,29210588,29221090,29381419,29508463,29557437,29712332,29858540,29869154,29882205,29923599,29924143,29944112,30109746,30139483,30257455,30751929,30844735,31504172,31577935,31874352,32004270,32064402,32206827,32456455,32493300,32653485,32915948,33041335,33131263,33463243,33467727,33620383,33668887,33687126,33697538,34137888,34181026,34182223,34306087,34646455,34647010,34659520,34830384,35065308,35098879,35187425,35389538,35457128,35711479,35723739,35830248,35858646,35956135,36197458,36308946,36383708,36407720,37013682,37403527,37440139,37893522,38024203,38101723,38131735,38405124,38682500,38787938,38833423,38844524,38947746,38991960,39016940,39143935,39148810,39150007,39184182,39349543,39430952,39580459,39649602,39889269,39923239,40047010,40309029,40442455,40501867,40919727,40958685,41120023,41575746,41576412,41591424,41683565,41830882,42025135,42224910,42425143,42455935,42516812,42595154,42670220,42679243,43117419,43147362,43182573,43233319,43368105,43396399,43473607,43567082,43689264,43865955,44032028,44359821,44364572,44747455,44814639,45005960,45017887,45027103,45039904,45128258,45604135,45758082,46020459,46041319,46259312,46419000,46790352,46820328,46930604,46964299,46972722,46978572,46981227,47075023,47220879,47222767,47379562,47487225,47597455,47665183,48056412,48098410,48139340,48330728,48441067,48530946,48549799,48640172,48920354,48967039,49016455,49150422,49513600,49605519,49643383,49705279,49733239,49806103,50020278,50156647,50267750,50282408,50293005,50299666,50316699,50430162,50631705,50653040,50669892,50873407,50945803,50947122,51204264,51407825,51497679,51818506,51968559,52031899,52041726,52221375,52240639,52314319,52405735,52639146,52672869,52758487,52804618,53433610,53645872,53696946,53698892,54007152,54091735,54320290,54372069,54512335,54591943,54603727,54616604,54724962,54769903,54871089,55105244,55240527,55341823,55352455,55411340,55476523,55702800,55703912,56051455,56157343,56167599,56567709,56609935,56984670,57116946,57396583,57604797,57718092,57733298,57767208,57785563,57848599,57859810,58110943,58742890,58794187,58819746,58878764,59392735,59416320,59547950,59872625,60069099,60169922,60189506,60321300,60351606,60362935,60758046,60783648,60850220,60910063,61029212,61082743,61282088,61344439,61469335,61689390,61735773,61791199,61837447,61924183,62334939,62435335,62437963,62665650,62666901,62848735,62886882,62978002,62981083,63124135,63267308,63377408,63377960,64120332,64132059,64255063,64342720,64395065,64468940,64910082,64921922,64988109,65102263,65107688,65184348,65322725,65414802,65802016,65867613,66193399,66212684,66253858,66422946,66493608,66843360,66932746,67043720,67223947,67261746,67336063,67386284,67464399,67573039,67645135,67831423,67931922,68035207,68041618,68072744,68283007,68381604,68415403,68462455,68942349,69002859,69220087,69431772,69436159,69485960,69659666,69707085,69886220,70198807,70491468,71229548,71271282,71299584,71300205,71454668,71457540,71583848,71588299,71631644,71697439,71847150,71951528,72385560,72435522,72605623,72617563,72861703,73020264,73062763,73246149,73336135,73340139,73439750,73728908,73763202,73969154,73983279,74027268,74053762,74071339,74074274,74176172,74272534,74299663,74342443,74354224,74546455,74805309,74922402,75187879,75198780,75418482,75424185,75646447,75748962,76053552,76113039,76221376,76308578,76324827,76556455,76581837,76636960,76699147,76718684,76720202,77090935,77211264,77274078,77362728,77382305,77591852,77656714,77691698,77988490,78023720,78171705,78387270,78413825,78557455,78627679,79187887,79202923,79355335,79365199,79376074,79633687,79818103,79836082,80212032,80241463,80452464,80531829,80597599,80681935,80741186,80945469,81174162,81433755,81549327,81676519,82074225,82147797,82154946,82359212,82382504,82476140,82532455,82783119,82900939,82984625,83383152,83613088,83648502,83667165,83776706,83805339,83849455,83863464,83875778,83994477,84112520,84116626,84302743,84334124,84341959,84436519,84619303,84822159,84827563,85068500,85179164,85243423,85444748,85535372,85560246,85749048,86046823,86093458,86216580,86862672,87006248,87033069,87243223,87545840,87776685,87783367,87840219,88003362,88117399,88127700,88339210,88361707,88471682,88947535,89197090,89244976,89455746,89559826,89772223,89887963,89947687,90238536,90509022,90875048,91168207,91314703,91393154,91397739,91469983,91668269,91817359,91867746,91964352,91992950,92138984,92283463,92418139,92509122,92568027,92680317,92858766,93050853,93109714,93247783,93470935,93510463,93586188,93628464,93806046,94002880,94064724,94096590,94268946,94319083,94346397,94626585,94690183,94848722,95226402,95302172,95317954,95500106,95793487,95834263,95871225,96034210,96168338,96205282,96266120,96405547,96467679,96784603,96818322,96976327,96986204,97016829,97086428,97295743,97720506,97736290,97852087,97882029,98088332,98090443,98095346,98114799,98192359,98479663,98489070,98580799,98600407,98609384,98685643,98971368,99038946,99214735,99273778,99347083,99581550,99758683,99796783,99993425,...,42885514304431068957061306107881086959125089037908494501633449524089221886448948223298266013700540683445978767962098705933050778178093557827077818429369623539934165922561334946066848044537562756809639689868320152969990519361996661157833275954547189996769982044585112608787334409178435487067442264312402078315142626027724469867185320543915821413522296055891627170628325611509707194898152060756878941024634315332536121267305082784468470347698370750863547973305349680975939775808812596818654111887536639497585347299035693148392552026413414069402964677582561013076049060222532361352851323331851343163449093964488500761935674654113068903600286553934850041925997950960597078544751319873668692129519937585193955407211637740473009715081823166834383314648766349348455951213957504804835026537731356797596010815748379501873429304676959382371691547695496332769566481047505295618753323026312849096453405138105510246197823299560646814536531730986633650049337361536017462197273064712733239726046627644352058079410660732684584250633561124334986281542739215831767970671501856326133866942209150133917153724922743587755237943573964785372022584265229776041084625585296449414867821615785285617101551926204582575536715127170994204610705690651245579097696287146505514169671723453581150179398864905693709270534592838054629553724460090475221568116785660867879988267587910198390488954879791723417865898578417181105970900878956758483937230986322563766852295659892571988620885117528146029162354271938820126643226495923366355418897294442510478395958001892565652082926053493826259705202556088868474195058689058641480625776741496340692235099345225839715469222778429383352283985266380799100338799854182829011562375841192631213270481382791465549907872263146766810698092002161507429405386533183277920214039550570864938209820017528728154021078701110736357513103768574492413396757590030810016902124338352466577518785623270931948639429280475978416425659378895874955712200855803031366769565784562892748627003929715224517218379045089358853465673789261107946236580810864888147628456213778946974947751748549197051295442336993819827756914115778532131255503172486142877605086708943788296265736412239458127896288107660894451050846739540273148185584928108403630698572947509002391059651173173253950307812562356764032936638083424342146845438334057420837137754774403912722036808718342234998898860447098968152177604910513592267401711656321444762792068621072250079616907112863813770938573383973077513686517229227686}
15498  2446790540239560200625552432603497321390710320914622282149432656: {77465,92958,479477,572057,711758,726197,897086,910901,1095317,1493897,1636958,1646837,2104457,2134901,2287001,2351896,2558558,2560277,2645883,2657572,2742101,2923637,3044501,3225557,3466517,3476558,3496601,3646901,3834328,3916937,3945615,4126517,4134436,4208366,4208656,4275977,4313619,4723157,4734738,5067928,5109257,5119886,5287001,5336115,5434901,5553077,5616699,5691856,5701419,5995097,6027806,6341092,6347417,6403338,6546136,6725535,6932126,7019477,7040215,7112558,7173904,7364403,8012558,8070642,8091737,8178197,8192126,8339947,8448258,8494601,8676987,8953097,9038837,9210101,9381077,9608597,9741016,9995812,10033817,10057450,10285555,10372697,10513406,10626101,10738517,10868366,10887315,10906901,10958643,11074997,11086612,11158937,11214857,11613136,11734899,11753246,11914210,12005427,12068940,12160601,12342666,12435928,12574901,12634526,12822617,12873536,12884011,13064778,13069615,13234037,13336958,13404687,13413976,13621732,13643657,13698137,13779797,13990419,14292175,14297052,14386286,14482728,14619401,14693650,14754101,15090723,15157001,15183797,15317657,15482467,15664757,15683538,15718037,15797897,15957401,16098328,16222601,16293069,16513397,16642046,16776917,16860436,17020300,17150610,17379977,17424547,17632380,17797001,17846606,18110619,18160217,18293984,18341237,18360686,18405730,18470297,18649636,18680259,18727817,18807872,19094335,19384958,19761987,19989016,20079317,20234558,20331797,20424360,20560335,20580732,20834357,20859401,20894379,20984501,21158856,21201496,21228956,21383477,21785984,21829877,21922958,21928216,21931024,22086876,22117810,22199897,22470101,22487643,22494617,22560532,22619443,22761758,22913202,22934537,22977405,23056277,23080601,23241715,23430206,23444501,23526175,23565401,23621656,23803713,23851683,23918167,23950937,24022997,24262526,24382217,24501557,24509232,24525401,24594446,24668297,24669243,24672402,24689715,24787157,24892210,25091246,25256558,25382932,25397155,25496117,25590101,25847897,25891203,25918037,26064015,26085652,26197877,26201098,26293900,26335696,26343955,26541372,26574363,26984501,27122357,27239896,27328601,27555806,27572886,27718958,27801616,27837412,27890058,27920777,27961816,27988757,28124501,28231410,28370126,28442776,28485077,28741999,28821257,29125135,29333237,29627658,29686901,29870652,30016601,30113504,30147977,30180435,30309806,30327080,30475157,30476586,30603928,30644883,30778901,30865397,30901443,30908597,31024987,31124117,31188617,31276818,31317401,31351467,31424501,31457043,31552680,31612746,31856755,31910366,31998123,32192464,32313490,32560851,32704036,32819477,32902901,33090137,33202450,33318101,33442037,33627401,33656192,33760435,33877692,34084132,34117965,34118537,34126958,34168810,34321817,34429419,34443401,34502083,34544501,34625237,34950162,34966937,35326217,35496765,35560300,35564297,35626456,36056597,36112659,36115337,36145636,36154457,36216522,36281650,36330101,36392496,36407957,36505097,36513235,36621401,36625646,37083737,37140415,37217717,37323175,37398926,37430140,37503497,37598357,37674101,37863216,37881737,38069657,38196772,38228106,38331401,38610101,38628617,38776188,39070601,39380215,39409916,39435401,39507977,39544217,39616601,39697166,39842940,39868937,39886901,39898132,39994517,40079763,40146328,40262297,40456046,40476898,40512522,40616625,40941558,40967787,41002572,41037401,41054837,41144935,41557001,41625737,41660057,41662766,41916437,41963006,42086357,42137177,42183339,42221717,42238601,42289387,42322901,42474137,42490901,42499136,42591317,42596118,42672360,42752536,42942436,43089077,43318901,43324400,43416917,43465817,43537980,43579637,43628297,43725401,43806101,43815882,43831635,43997107,44048558,44190677,44286101,44321410,44428697,44568498,44617817,44623636,44786558,44787810,44803731,44916168,44933726,45054617,45085577,45164619,45316757,45374366,45378101,45479635,45509650,45517184,45591797,45999497,46044437,46105886,46193717,46371797,46440512,46724501,46753744,46833806,46940138,46942601,47256258,47287817,47529557,47586101,47631652,47702558,47740937,47773664,47811528,47866901,48006405,48096603,48336917,48353125,48405257,48411928,48418901,48487001,48555655,48640306,48739950,48740923,48771175,48995966,49104137,49170197,49288690,49351576,49373922,49614101,49807001,49883657,50362457,50374901,50419406,50449397,50524696,50530689,50546307,50818339,51106901,51125726,51206832,51271539,51273557,51285401,51532277,51764117,51930328,51970515,51981401,51989280,52105877,52245576,52307477,52318601,52484501,52550357,52597962,52605017,52702901,52866136,53024501,53066837,53084307,53146015,53185692,53337775,53361758,53380277,53534297,53595401,53621827,53686517,53706677,53745372,53787969,53915006,54277397,54296187,54463419,54467957,54524501,54559636,54562037,54575562,54603326,54611580,54618101,54673877,54701657,54877646,54897403,55040035,55127477,55242137,55294601,55390037,55434328,55435216,55455232,55455715,55520523,55594901,55603337,55628597,55678901,55720601,55893557,55917977,56047001,56166101,56240606,56252297,56257450,56299880,56329817,56437001,56505077,56512601,56550101,56617097,56840283,56916686,56942357,56969227,57012437,57116057,57217877,57258101,57331097,57396617,57489892,57529816,57576764,57607686,57699977,57712217,57820937,57824140,57862517,57880217,57944501,57979157,57996377,58023750,58049407,58053257,58120457,58181907,58197401,58252352,58266786,58357001,58408601,58421619,58464437,58487940,58525410,58558601,58602197,58654601,58663255,58723215,58776273,58810457,58858901,58863257,58902101,58927637,58986101,59022857,59070857,59106101,59129237,59146428,59200601,59251337,59272601,59276117,59320766,59324501,59354777,59422901,59426057,59441717,59451017,59474403,59481497,59563651,59584601,59598101,59637401,59652617,59662601,59731157,59752852,59753237,59757557,59776601,59851637,59872277,59888597,59932757,59936777,59962901,59975177,59978357,59979401,59980286,60006197,60007001,60011657,60022037,60030617,60040601,60042377,60046937,60070515,60174175,60413410,60800215,60897566,61010776,61360612,61418558,61892000,62363619,62364618,62387136,62427104,62630296,62635867,62638096,62641636,62710958,62746323,62853010,62957587,62961172,63316300,63337365,63775218,63861806,63892731,64005330,64075216,64115966,64707928,64721043,65059946,65350623,65533896,65878958,66048042,66140692,66546858,66625886,66693704,67057340,67088932,67123615,67240216,67508940,67559856,67692387,67929496,68270755,68272352,68458819,68637123,68663572,68835566,68881555,69120403,69264175,69291412,69388968,69628500,69629890,70162958,70185528,70230492,70395906,70459083,70467858,71069343,71595928,71827166,71944958,72009536,72084618,72084691,72147615,72209010,72496092,72796419,72960258,72966616,73161452,73380531,73578926,73598455,73654036,73725633,74155646,74270400,74385326,74890132,74957006,75030417,75401625,75411758,75423612,75449499,75645243,75686143,75979560,76004838,76062775,76130467,76155928,76286515,76420683,76538558,76602610,76806396,76957456,77022944,77207726,77727759,78062589,78089354,78091886,78426328,78958719,79084135,79206927,79221760,79222450,79515667,79724846,80092132,80150415,80428400,80468808,80475806,80545419,80548338,80586175,80621611,81010728,81044864,81325406,81384610,81480435,81924906,82061246,82087443,82252520,82314364,82657866,82765855,83113252,83117010,83554200,83555868,83804650,83849176,84232855,84429326,84934046,85090930,85477005,85493776,85509412,85534958,85675419,86000266,86283211,86546776,86577138,86599947,86650812,86789715,86857450,86912464,87219736,87357775,87597326,87731683,87823484,88114335,88229619,88318146,88557086,88563928,88658144,88842206,89036935,89124480,89318335,89321925,89479810,89499883,89539555,89682328,89876558,89939410,89952532,90254883,90284259,90481950,90527409,90575896,90709886,91137069,91167806,91175472,91275330,91543818,91923132,92003812,92072846,92161135,92162558,92534085,92575696,92697806,92720215,92942780,93051758,93575779,93684283,93839726,93988624,93998475,94330323,94467003,94773691,94900962,95028376,95066112,95066940,95127086,95276720,95632958,95796200,95898355,96050558,96180498,96514080,96580696,96703410,96793166,96989815,97360352,97365123,97382883,97529650,97661532,97765166,97776522,97786852,98122203,98237458,98350936,98644372,98703024,98872958,98948551,99184286,99226322,99261758,99319026,99380787,99570206,99634419,99740412,99896536,...,64328271456646603435591959161821630438687633556862741752450174286133832829673422334947399020550811025168968151943148058899576167267140336740616727644054435309901248883842002419100272066806344135214459534802480229454985779042994991736749913931820784995154973066877668913181001613767653230601163396468603117472713939041586704800777980815873732120283444083837440755942488417264560792347228091135318411536951472998804181900957624176702705521547556126295321959958024521463909663713218895227981167831304959246378020948553539722588828039620121104104447016373841519614073590333798542029276984997777014745173640946732751142903511981169603355400429830902275062888996926440895617817126979810503038194279906377790933110817456610709514572622734750251574971973149524022683926820936257207252539806597035196394016223622569252810143957015439073557537321543244499154349721571257943428129984539469273644680107707158265369296734949340970221804797596479950475074006042304026193295909597069099859589069941466528087119115991099026876375950341686502479422314108823747651956007252784489200800413313725200875730587384115381632856915360947178058033876397844664061626938377944674122301732423677928425652327889306873863305072690756491306916058535976868368646544430719758271254507585180371725269098297358540563905801889257081944330586690135712832352175178491301819982401381865297585733432319687585126798847867625771658956351318435137725905846479483845650278443489838857982931327676292219043743531407908230189964839743885049533128345941663765717593937002838848478124389080240739389557803834133302711292588033587962220938665112244511038352649017838759573203834167644075028425977899571198650508199781274243517343563761788946819905722074187198324861808394720150216047138003242261144108079799774916880321059325856297407314730026293092231031618051666104536269655652861738620095136385046215025353186507528699866278178434906397922959143920713967624638489068343812433568301283704547050154348676844339122940505894572836775827568567634038280198510683891661919354871216297332221442684320668420462421627622823795576943163505490729741635371173667798196883254758729214316407630063415682444398604618359187191844432161491341676576270109310409722278377392162605446047859421263503586589476759759880925461718843535146049404957125136513220268157501086131255706632161605869083055213077513352498348290670648452228266407365770388401102567484482167144188102931608375119425360669295720656407860075959616270529775843841529}
15499  2457679459448735667381150269206921379177667344604113048681944497: {30994,123944,139437,1067637,1345629,2057909,2455437,2614937,2939870,3321965,3355037,3527844,3682574,3820349,3837837,3986358,4425278,4434437,4792910,4980374,5168045,5214837,5260820,5581421,5727869,5751492,6201654,6277166,6288557,6312549,6312984,6334910,6465206,6836414,7102107,7114820,7488932,7601892,7679829,7926365,8142677,8182670,8513501,8523389,8537784,8632637,8967380,9041709,9245678,9433229,9511638,9605007,9819204,9987806,10161494,10351517,10398189,10668837,10760856,10856429,10881437,11264344,11285909,11569316,11737229,11832509,12018837,12026981,12105963,12176270,12288189,12494765,12672387,13138589,13858265,13879661,14086037,14516420,14609078,14611524,14626937,14993718,15086175,15234686,15534989,15544910,15646532,15770109,15963926,16007236,16091920,16302549,16347158,16422197,16456888,16462238,16629918,16767470,17027165,17419704,17490389,17629869,17871315,17872916,18103410,18513999,18551309,18653892,18951789,19062736,19187189,19189646,19237469,19310304,19427294,19597167,19607717,19620749,20005437,20024246,20120964,20122910,20432598,20597837,20668949,20911384,21075545,21275375,21445578,21459317,21521966,21579429,21724092,21789209,22021718,22040475,22582937,22867480,23043734,23116901,23312045,23468621,23509840,23525307,23834909,24147492,24326414,24466589,24753278,24887429,24907012,24963069,24986270,25290654,25357709,25530450,25725915,25968398,26026181,26349316,26448570,26476637,26501870,26536195,26769909,26778437,27232480,27336569,27410270,27413780,27440976,27541029,27608595,27799454,27859172,27974454,28168406,28200665,28211808,28350869,28452398,28486169,28498637,29077437,29449168,29527070,29983524,30092789,30351837,30476237,30550936,30636540,30871098,31173149,31253309,31286489,31728665,31738284,31802244,31843434,31987877,32607065,32678976,32867375,32884437,32892324,32896536,32919620,33130314,33176715,33235358,33257549,33353174,33467621,33840798,34049870,34142637,34369803,34438937,34521604,34752020,34760057,34796765,34857878,34952270,35110814,35128037,35145309,35260781,35388496,35432484,35457917,35553470,35619389,36393789,36418637,36685406,36763848,36874046,36891669,37008603,37186744,37338315,37408469,37636869,37641880,37884837,37908850,38074398,38203661,38217278,38254910,38437421,39128478,39155129,39301647,39354677,39440850,39503544,39547469,39812058,39827536,40240580,40395758,40432157,40635448,40859844,40880045,40909526,41201924,41333709,41359329,41367086,41578437,41702424,41756118,41801956,41835087,41942724,42070240,42150328,42279077,42347115,42360437,42448949,42555189,42605165,42664164,42778814,42913046,43182629,43244249,43248878,43402061,43414468,43978901,44125997,44209109,44247437,44441487,44450375,44533070,44805978,44834429,44964509,45029309,45170256,45182045,45361877,45439037,45464709,45490620,45714879,45905892,46257869,46261886,46573166,46600216,46787675,46915227,47329020,47419119,47745965,47865549,48150212,48287237,48288696,48470235,48505037,48505814,48523328,48556121,48588149,49056054,49262395,49803675,49872665,50163209,50182910,50314109,50338589,50484288,50623289,50647118,50733134,50816538,50952437,50970808,51126198,51190437,51253215,51701584,51716558,51898061,52235669,52425243,52613261,52946366,53123920,53213849,53340450,53384429,53439684,53440670,53606414,53678045,53850254,54016696,54155500,54218454,54324783,54346238,54422475,54588744,54623716,54670096,54777077,54801509,54808334,54866237,54938469,55316909,55483781,55779545,55926974,56057429,56065814,56098389,56145210,56244452,56282006,56619437,56794824,56896480,57079949,57217817,57295158,57342159,57404057,57408437,57846869,57870137,58050640,58118621,58164282,58281278,58356991,58421176,58442180,58533149,58762838,58835189,59016926,59114874,59424664,59438309,59478137,59539565,59545749,59717080,59738308,59764410,59847198,59848286,59888224,60219492,60278966,60514910,60684069,60715347,60768783,60769469,61043477,61090697,61213421,61412337,61503858,61689470,61738937,61799261,62442377,62494149,62646437,62944509,63008344,63155870,63748704,63845789,63894177,64008540,64062389,64128804,64174169,64413654,64912910,64986600,65110757,65306970,65723823,65831896,65902397,66052661,66072837,66082670,66262526,66367769,66482115,66636437,66852747,66926486,66935454,67081901,67179837,67181715,67240766,67337774,67374252,67395076,67400589,68061549,68199545,68264475,68275776,68292029,68362052,68364446,68594681,68612174,68623037,68676569,69158829,69209381,69292910,69294020,69319040,69660768,69720089,69922829,70130616,70197758,70250709,70374850,70410207,70620749,70758461,70779076,70884387,70914256,71422958,71447478,71553837,71597621,71660496,71717292,71862365,71912270,71970955,72280175,72356189,72394916,72617892,72767416,72815440,72960459,73072277,73109925,73122389,73368029,73493949,73933035,74015021,74027364,74060883,74304509,74309357,74432189,74691065,74807054,74880278,75120869,75560837,75629109,75728429,75787044,76039349,76048406,76203446,76263470,76317269,76688589,76700765,76810248,77365000,77493437,77575876,77666846,77689048,77895492,77983920,78033880,78287870,78297620,78300014,78302045,78368364,78472037,78699086,78701465,78861904,78896943,78909209,79145375,79160918,79253909,79299204,79778538,79828517,79846478,80042637,80094020,80164409,80251961,80618058,80872509,80884910,81003734,81147461,81839454,81863343,81904989,81917370,82240046,82316469,82675865,83149829,83151492,83152824,83182848,83329721,83367130,83661764,83711669,83821675,83861165,84050270,84360909,84386175,84420569,84449820,84508109,84546029,84733337,84838661,84850286,84911870,85033624,85190308,85340440,85355789,85358486,85375029,85505369,85775357,85829465,86057069,86092541,86234838,86294724,86365146,86411529,86466638,86614265,86736210,86792798,86947214,87035625,87134164,87302981,87378528,87400179,87409469,87731910,87788115,87988229,88064056,88128941,88373789,88504109,88719642,88729144,88949597,88981149,89494910,89629278,89970429,90011920,90035774,90054206,90079808,90153091,90244229,90256516,90455117,90620115,91208270,91346349,91451815,91516164,92040918,92067545,92082638,92127837,92268269,92518624,92838000,93259997,93369821,93546927,93580704,93612665,93640656,93861208,93928598,93945444,93957144,93962454,94066437,94150046,94194461,94279515,94441758,94445534,94703189,94759124,94765637,94974450,95194910,95272061,95330366,95662827,95792709,95847437,96007995,96112824,96173949,96196820,96278680,96661456,96832829,96882134,97061892,97099598,97280344,97589919,97840708,97864889,97934078,97973837,98032910,98071949,98300844,98417957,98593661,98818437,98891237,99027200,99072063,99211038,99286766,99410558,99466478,99612206,99820287,99938829,...,85771028608862137914122612215762173918250178075816989003266899048178443772897896446596532027401081366891957535924197411866101556356187115654155636858739247079868331845122669892133696089075125513619279379736640305939981038723993322315666551909094379993539964089170225217574668818356870974134884528624804156630285252055448939734370641087831642827044592111783254341256651223019414389796304121513757882049268630665072242534610165568936940695396741501727095946610699361951879551617625193637308223775073278995170694598071386296785104052826828138805929355165122026152098120445064722705702646663702686326898187928977001523871349308226137807200573107869700083851995901921194157089502639747337384259039875170387910814423275480946019430163646333668766629297532698696911902427915009609670053075462713595192021631496759003746858609353918764743383095390992665539132962095010591237506646052625698192906810276211020492395646599121293629073063461973267300098674723072034924394546129425466479452093255288704116158821321465369168501267122248669972563085478431663535941343003712652267733884418300267834307449845487175510475887147929570744045168530459552082169251170592898829735643231570571234203103852409165151073430254341988409221411381302491158195392574293011028339343446907162300358797729811387418541069185676109259107448920180950443136233571321735759976535175820396780977909759583446835731797156834362211941801757913516967874461972645127533704591319785143977241770235056292058324708543877640253286452991846732710837794588885020956791916003785131304165852106987652519410405112177736948390117378117282961251553482992681384470198690451679430938445556858766704567970532761598200677599708365658023124751682385262426540962765582931099815744526293533621396184004323014858810773066366555840428079101141729876419640035057456308042157402221472715026207537148984826793515180061620033804248676704933155037571246541863897278858560951956832851318757791749911424401711606062733539131569125785497254007859430449034436758090178717706931347578522215892473161621729776295256912427557893949895503497098394102590884673987639655513828231557064262511006344972285755210173417887576592531472824478916255792576215321788902101693479080546296371169856216807261397145895018004782119302346346507900615625124713528065873276166848684293690876668114841674275509548807825444073617436684469997797720894197936304355209821027184534803423312642889525584137242144500159233814225727627541877146767946155027373034458455372}
15500  2468616454032008764627569219614557337518750622183622532956380703: {46491,108451,154930,185916,941779,958954,1126171,1144114,1423516,1452394,1677619,1794172,1821802,1952371,2135179,2190634,2317699,2772739,2954251,2987794,3225979,3273916,3293674,3406771,3497059,3677419,4208914,4269802,4306411,4409805,4574002,4664251,4703792,4753531,5117116,5120554,5291766,5315144,5484202,5523861,5730859,5847274,5979537,6089002,6172219,6451114,6576025,6611779,6637917,6933034,6953116,6993202,7189365,7293802,7311331,7470561,7668656,7833874,7891230,8253034,8268872,8416732,8417312,8524459,8551954,8610571,8627238,8893525,9125731,9302481,9361165,9382339,9415749,9446314,9469476,9502365,9697809,9856301,9978571,10135856,10218514,10239772,10254621,10574002,10672230,10824211,10869802,11106154,11209225,11233398,11328139,11383712,11402838,11579131,11990194,12055612,12274005,12682184,12694834,12806676,13092272,13235851,13451070,13645531,13864252,13868517,14038954,14053411,14080430,14225116,14267457,14347808,14399777,14459491,14461645,14728806,14783059,14981709,15024979,15185899,15242241,15346531,15426739,15746851,16025116,16141284,16183474,16356394,16384252,16542091,16679894,16896516,16989202,17353974,17799499,17906194,18077674,18145525,18188659,18264405,18297461,18420202,18498691,18762154,18807571,19217194,19482032,19558165,19991624,20009045,20067634,20107459,20114900,20571110,20586577,20636659,20745394,20862379,21026812,21252202,21477034,21736732,21774630,21813802,21833011,21913617,21917286,21981259,22149994,22173224,22203091,22317874,22341145,22429714,22490577,22497859,22571371,22852029,23083939,23226272,23317365,23375251,23469798,23506492,23828420,23945889,23954419,24010854,24137880,24321202,24385771,24520737,24528979,24685332,24693357,24871856,24944877,25027939,25149802,25151205,25269052,25452811,25523371,25645234,25747072,25768022,26129556,26139230,26225011,26468074,26673916,26732069,26809374,26827952,26850331,27155115,27243464,27287314,27396274,27559594,27947611,27980838,28015579,28584350,28594104,28772572,28784469,28825579,28965456,29140941,29238802,29293291,29387300,29508202,29823499,30036369,30152539,30181446,30184365,30314002,30367594,30635314,30648897,30805219,30964934,31133765,31329514,31367076,31436074,31595794,31803277,31834531,31914802,32152411,32168367,32196656,32282949,32445202,32538401,32586138,32720059,32936645,33026794,33032577,33284092,33467851,33553834,33720872,33967817,34021891,34040600,34144219,34266259,34267225,34301220,34327171,34565601,34751539,34759954,34823965,34849094,35264760,35530291,35556017,35589691,35594002,35693212,36221238,36320434,36413731,36489621,36587968,36682474,36704611,36721372,36811460,36881537,36940594,37051291,37129917,37299272,37360518,37455634,37479405,37615744,37935981,37963099,38132011,38188670,38244259,38295675,38523619,38634859,38769916,38952597,39523974,39672855,39752805,39893419,39978032,40158634,40469116,40640851,40663594,40775189,40848720,41061619,41115405,41120670,41149525,41161464,41632651,41668714,41684131,41699181,41718802,41788758,41961681,41969002,42245659,42252609,42317712,42346819,42397291,42402992,42457912,42498019,42678597,42766954,42947731,43145731,43152005,43440025,43440571,43571968,43659754,43845916,43856432,43862048,44173752,44214139,44235620,44290605,44399794,44599457,44641171,44940202,44975286,44989234,45121064,45238886,45293851,45523516,45826404,45869074,45954810,46022491,46112554,46161202,46306647,46424251,46483430,46860412,46889002,47052350,47130802,47243312,47264609,47467099,47607426,47703366,47763451,47765151,47836334,47889379,47901874,48045994,48345571,48427579,48525052,48764434,49003114,49018464,49050802,49113019,49188892,49336594,49338486,49344804,49379430,49545451,49574314,49584331,49695471,49784420,49853037,49892779,50029761,50083219,50121091,50182492,50300725,50384179,50513116,50532931,50761197,50765864,50794310,50936059,50992234,51074805,51118529,51180202,51294979,51436531,51502405,51695794,51716179,51782406,51836074,51957091,51996581,52127011,52128030,52171304,52252445,52286817,52328539,52395754,52402196,52428331,52428405,52494499,52587800,52625971,52666221,52671392,52687910,53045299,53082744,53148726,53330205,53390611,53452459,53544691,53696971,53727211,53969002,54172171,54244714,54268085,54479792,54572851,54657202,54684739,55028109,55111612,55120771,55132301,55145772,55305739,55311069,55437916,55603232,55614619,55674824,55780116,55790011,55814779,55841554,55923632,55977514,56177659,56249002,56341459,56410579,56456299,56462820,56479051,56524339,56569339,56740252,56833291,56863275,56885552,56970154,57111597,57128131,57230011,57270259,57325917,57382365,57483998,57505699,57543931,57602909,57642514,57712411,57962899,58082851,58149811,58166371,58231891,58250270,58375099,58571659,58666474,58672459,58686571,58692717,58756051,58823731,58876579,58915459,59088331,59123539,59146651,59161275,59203171,59255316,59289859,59373802,59439979,59556979,59582251,59598739,59718087,59741304,59767651,59774131,59799331,59868019,59878459,59888611,59947579,59994379,60003451,60017131,60022099,60031171,60033202,60045859,60058037,60062419,60187765,60227008,60295954,60360870,60593637,60619612,60654160,60950314,60953172,61207856,61289766,61355921,61364289,61557802,61730794,61802886,61817194,62049974,62050629,62248234,62377234,62553636,62634177,62634802,62702934,62849002,62914086,63105360,63225492,63671489,63713510,63820732,63996246,64168221,64369569,64384928,64626980,64873317,64878749,65121702,65408072,65638954,65805802,66180274,66404900,66636202,66799605,66884074,67208967,67254802,67312384,67520870,67694375,67755384,67977917,68168264,68235930,68237074,68253916,68279645,68337620,68643634,68858838,68886802,69004166,69089002,69250474,69392829,69859749,69900324,69933874,70305565,70652434,70993530,71120600,71128594,71252912,72113194,72225318,72230674,72291272,72308914,72433044,72563300,72660202,72758721,72784992,72815914,73010194,73026470,73052725,73242802,73251292,73584081,74167474,74280830,74404421,74435434,74646350,74672885,74797852,74860280,75006994,75196714,75274365,75348202,75726432,75763474,75970677,76099701,76139314,76224807,76393544,76456212,76662802,76689297,77056049,77220202,77257234,77552376,77574837,77638001,78141202,78760430,78819832,78870802,79015954,79088434,79233202,79394332,79419549,79685880,79737874,79773802,79796264,79989034,80010675,80159526,80161005,80292656,80409621,80524594,80775381,80905877,80912092,80953796,81025044,81233250,81327681,81519357,81687749,81883116,81935574,82005144,82074802,82109674,82128557,82212501,82289870,83114002,83251474,83320114,83325532,83747389,83832874,83890461,83926012,84098721,84172714,84217815,84243845,84274354,84366678,84423009,84443434,84477202,84578774,84645802,84948274,84981802,84998272,85120301,85182634,85192236,85344720,85452565,85505072,85884872,85942737,86178154,86617525,86637802,86648800,86833834,86931634,87075960,87159274,87246423,87256594,87421917,87450802,87612202,87631764,87663270,87994214,88097116,88144257,88381354,88473845,88525389,88572202,88642820,88672311,88857394,89136996,89235634,89247272,89573116,89575620,89607462,89646615,89770797,89772429,89832336,89862817,89867452,90109234,90171154,90329238,90418449,90493645,90633514,90748732,90756202,90772365,90959270,91019300,91034368,91183594,91998994,92088874,92211772,92255787,92387434,92534205,92743594,92881024,93449002,93507488,93667612,93880276,93885202,93973061,94512516,94575634,94733805,95059114,95172202,95263304,95405116,95481874,95547328,95579057,95623056,95733802,96012810,96193206,96434177,96620481,96673834,96706250,96810514,96823856,96837802,96969845,96974002,97111310,97280612,97369365,97479900,97481846,97542350,97872025,97960455,97991932,98208274,98340394,98577380,98703152,98747844,99124005,99228202,99393789,99614002,99767314,...,128656542913293206871183918323643260877375267113725483504900348572267665659346844669894798041101622050337936303886296117799152334534280673481233455288108870619802497767684004838200544133612688270428919069604960458909971558085989983473499827863641569990309946133755337826362003227535306461202326792937206234945427878083173409601555961631747464240566888167674881511884976834529121584694456182270636823073902945997608363801915248353405411043095112252590643919916049042927819327426437790455962335662609918492756041897107079445177656079240242208208894032747683039228147180667597084058553969995554029490347281893465502285807023962339206710800859661804550125777993852881791235634253959621006076388559812755581866221634913221419029145245469500503149943946299048045367853641872514414505079613194070392788032447245138505620287914030878147115074643086488998308699443142515886856259969078938547289360215414316530738593469898681940443609595192959900950148012084608052386591819194138199719178139882933056174238231982198053752751900683373004958844628217647495303912014505568978401600826627450401751461174768230763265713830721894356116067752795689328123253876755889348244603464847355856851304655778613747726610145381512982613832117071953736737293088861439516542509015170360743450538196594717081127811603778514163888661173380271425664704350356982603639964802763730595171466864639375170253597695735251543317912702636870275451811692958967691300556886979677715965862655352584438087487062815816460379929679487770099066256691883327531435187874005677696956248778160481478779115607668266605422585176067175924441877330224489022076705298035677519146407668335288150056851955799142397301016399562548487034687127523577893639811444148374396649723616789440300432094276006484522288216159599549833760642118651712594814629460052586184462063236103332209072539311305723477240190272770092430050706373015057399732556356869812795845918287841427935249276978136687624867136602567409094100308697353688678245881011789145673551655137135268076560397021367783323838709742432594664442885368641336840924843255245647591153886327010981459483270742347335596393766509517458428632815260126831364888797209236718374383688864322982683353152540218620819444556754784325210892095718842527007173178953519519761850923437687070292098809914250273026440536315002172262511413264323211738166110426155026704996696581341296904456532814731540776802205134968964334288376205863216750238850721338591441312815720151919232541059551687683058}
15501  2479601734564324403265969908341919107081343902877690740193609595: {61988,232395,247888,278874,1438431,1716171,1779395,2135274,2178591,2242715,2691258,2732703,2893451,3285951,3913151,4092395,4115818,4469963,4481691,4650751,4910874,4932059,4940511,5229874,5879740,6045251,6313371,6396395,6404703,6643930,6710074,6861003,7055688,7235263,7365148,7431931,7640698,7675674,7680831,7937649,7972716,7984031,8226303,8691395,8770911,8850556,8868874,9100639,9133503,9585820,9676671,9960748,10336090,10399551,10429674,10489803,10520915,10521640,10763771,10940703,11096911,11162842,11455738,11502984,11750811,11836845,12233611,12379551,12403308,12554332,12577114,12613663,12625098,12625968,12669820,12799715,12827931,12930412,12940857,12987563,13672828,14169471,14204214,14229640,14836879,14977864,15069515,15077579,15203784,15327771,15359658,15852730,15861003,16008345,16285354,16304703,16365340,16659231,16850097,17027002,17046778,17075568,17104257,17265274,17330315,17492671,17781395,17934760,17985291,18083418,18105791,18491356,18603491,18866458,19023276,19042251,19113611,19210014,19401571,19408051,19638408,19975612,20031395,20176605,20322988,20480315,20564191,20703034,20796378,21058431,21119563,21120645,21337674,21521712,21712858,21730811,21762874,22093209,22132319,22528688,22571818,23138632,23474458,23665018,23838031,24037674,24053962,24211926,24275211,24352540,24534591,24576378,24989530,25019841,25143625,25344774,25361011,25483803,26030961,26277178,26283515,26371643,26412611,26859291,27116511,27170915,27630303,27716530,27735643,27759322,27970763,28143231,28172074,28825791,29032840,29218156,29223048,29253874,29383115,29505763,29700851,29785525,29987436,30101451,30172350,30469372,30856665,31069978,31089820,31118091,31290571,31293064,31540218,31586315,31710659,31837483,31878303,31927852,32014472,32143199,32183840,32215551,32605098,32636863,32661945,32694316,32720703,32844394,32875929,32913776,32924476,33224991,33259836,33342395,33476811,33534940,33644571,34054330,34839408,34980778,35204697,35259738,35720771,35742630,35745832,35965715,36016281,36017371,36206820,36481803,36734125,37027998,37102618,37150673,37255019,37307784,37692559,37724703,37903578,38111711,38125472,38363891,38374378,38379292,38467851,38474938,38620608,38652033,38854588,39194334,39208845,39215434,39241498,39480931,39552643,39702111,39703523,40010874,40048492,40214061,40241928,40245820,40865196,40930971,41094411,41195674,41337898,41339391,41571091,41605115,41822768,41904811,41971257,42151090,42550750,42876525,42891156,42918634,43043932,43063691,43158858,43448184,43578418,43858203,43984639,44043436,44051711,44080950,44262303,44341471,44420131,44616515,45165874,45272169,45426043,45471003,45551391,45649891,45734960,45901715,45952971,46014325,46087468,46226611,46233802,46447401,46624090,46937242,46994271,47019680,47050614,47154111,47393691,47442943,47669818,47872203,48294984,48462395,48652828,48667803,48715471,48879207,48933178,49506556,49540191,49774858,49814024,49926138,49972540,50330751,50331443,50581308,50586395,50715418,51060900,51196163,51333071,51451830,51904819,51936796,52052362,52139931,52273641,52327931,52532483,52698632,52897140,52908251,52953274,53003740,53072390,53391003,53539818,53548223,53556874,53609491,54331857,54464960,54480651,54673138,54807395,54820540,54827560,54881952,55023711,55082058,55217190,55294525,55410891,55598908,55718344,55948908,56040777,56064763,56183451,56336812,56401330,56423616,56701738,56904395,56904796,56972338,56997274,57232063,57283005,57863651,58154874,58540771,58575515,58776971,58898336,59054140,59285961,59647231,59752319,59967048,60185578,60237951,60656315,60703674,60952474,60995391,61101872,61221439,61273080,61486115,61681005,61742196,62230525,62346298,62503071,62506618,62572978,62578203,62683137,62728115,62829451,62953503,62985983,63141395,63254863,63457330,63476568,63601619,63604488,63645791,63686868,63975754,64070731,64150431,64617179,64652383,64999211,65214130,65357952,65489631,65502745,65734750,65768874,65784648,65793072,65839240,66061279,66260628,66353430,66470716,66515098,66526763,66599691,66706348,66844351,66935242,67155791,67410303,67462929,67483851,67681596,67858329,68099740,68285274,68685643,68739606,68803611,68877874,68889515,68932215,68967353,69043208,69168831,69241803,69297395,69504040,69520114,69593530,69715756,69725145,69788539,69821731,69904540,70221628,70256074,70290618,70333503,70521562,70578525,70696203,70776992,70864968,70915834,70925315,71106940,71238778,71411139,71555049,71708239,71754501,71852811,71940763,72068991,72142291,72448403,72787578,72837274,73146651,73370812,73504671,73527696,73576203,73748092,73783338,74004891,74007729,74017206,74024659,74069145,74361471,74373488,74528371,74676630,74816938,75130651,75149263,75213023,75273738,75283760,75769674,75774515,75817700,76148796,76191465,76407322,76434556,76488351,76509820,76755083,76770303,76874842,77346271,77424719,77543691,77673609,77754111,77884651,78091363,78192045,78256956,78310258,78593631,78603294,78709354,78881700,79007088,79031865,79094938,79624116,79655072,79723089,79775915,80219651,80481160,80783725,80791516,80864314,80953503,81270896,81367071,81719688,81725023,81760090,81819052,81985803,82332059,82403848,82667418,82718658,82734172,83006125,83156874,83355391,83404848,83512236,83603912,83670174,83722591,83762331,83885448,83966271,84140480,84300656,84373503,84558154,84694230,84720874,84897898,85110378,85210330,85317395,85328328,85422025,85455231,85553731,85557628,85786579,85787339,85826092,86225997,86365258,86463771,86488498,86497756,86804122,86828936,87375405,87905471,87957802,87999711,88251994,88418218,88494874,88517683,88882974,88900750,88918363,89060703,89066140,89293163,89299171,89611956,89668858,89929018,90049803,90058618,90340512,90364090,90443931,90541305,90704125,90723754,90801131,90878074,90929418,90981240,91402291,91425471,91429758,91561663,91564115,91811784,91934649,92336703,92515738,92523772,92596191,92704329,92725791,93074961,93146332,93200432,93372351,93497315,93565851,93575350,93830454,93952203,94054401,94206799,94273503,94371129,94658040,94838238,95479363,95491930,95570265,95731098,95994369,96300424,96574474,96577392,96940470,97010074,97011628,97046656,97112242,97173131,97176298,97682553,98112108,98116799,98322611,98458431,98524790,98708703,99242915,99270411,99388351,99607350,99745330,99809119,99954303,...,192984814369939810306775877485464891316062900670588225257350522858401498489020267004842197061652433075506904455829444176698728501801421010221850182932163305929703746651526007257300816200419032405643378604407440688364957337128984975210249741795462354985464919200633006739543004841302959691803490189405809352418141817124760114402333942447621196360850332251512322267827465251793682377041684273405955234610854418996412545702872872530108116564642668378885965879874073564391728991139656685683943503493914877739134062845660619167766484118860363312313341049121524558842220771001395626087830954993331044235520922840198253428710535943508810066201289492706825188666990779322686853451380939431509114582839719133372799332452369832128543717868204250754724915919448572068051780462808771621757619419791105589182048670867707758430431871046317220672611964629733497463049164713773830284389953618407820934040323121474796107890204848022910665414392789439851425222018126912078579887728791207299578767209824399584261357347973297080629127851025059507438266942326471242955868021758353467602401239941175602627191762152346144898570746082841534174101629193533992184880815133834022366905197271033785276956983667920621589915218072269473920748175607930605105939633292159274813763522755541115175807294892075621691717405667771245832991760070407138497056525535473905459947204145595892757200296959062755380396543602877314976869053955305413177717539438451536950835330469516573948793983028876657131230594223724690569894519231655148599385037824991297152781811008516545434373167240722218168673411502399908133877764100763886662815995336733533115057947053516278719611502502932225085277933698713595951524599343822730552030691285366840459717166222561594974585425184160450648141414009726783432324239399324750640963177977568892221944190078879276693094854154998313608808966958585215860285409155138645076059559522586099598834535304719193768877431762141902873915467205031437300704903851113641150463046030533017368821517683718510327482705702902114840595532051674985758064613648891996664328052962005261387264882868471386730829490516472189224906113521003394590649764276187642949222890190247047333195813855077561575533296484474025029728810327931229166835132176487816338143578263790510759768430279279642776385156530605438148214871375409539660804472503258393767119896484817607249165639232540057495044872011945356684799222097311165203307702453446501432564308794825125358276082007887161969223580227878848811589327531524587}
15502  2490635512535653079057371149449984589352945690884829646733975514: {77485,92982,216902,309860,371832,418311,448717,633901,911137,1371757,1555501,1883558,1917908,2252342,2288228,2651917,2847032,2904788,3202911,3355238,3557677,3588344,3643604,3647857,3904742,4036887,4097677,4270358,4381268,4635398,5347597,5545478,5908502,5975588,6055501,6173727,6319777,6451958,6547832,6587348,6758797,6813542,6994118,7349675,7354838,7366311,7844811,8410657,8417828,8539604,8612822,8819610,9148004,9206435,9328502,9407584,9507062,9781537,9965895,10065111,10234232,10241108,10583532,10628977,10630288,10965937,10968404,11047722,11063195,11217901,11461047,11461718,11513511,11694548,11959074,11982275,12178004,12344438,12450935,12633457,12881101,12902228,13105631,13152050,13223558,13275834,13292401,13303311,13701901,13865197,13866068,13906232,13986404,14272177,14378730,14587604,14622662,14677357,14941122,15337312,15504135,15644511,15667748,15692915,15722401,15782460,15837275,16163015,16506068,16537744,16744263,16833464,16834624,16913101,17048918,17091035,17103908,17183607,17221142,17254476,17787050,17931937,18251462,18604962,18722330,18764678,18831498,18865671,18892628,18937647,18938952,19004730,19395618,19712602,19957142,20246303,20271712,20388001,20437028,20456675,20479544,20509242,20915437,21148004,21306321,21344460,21648422,21739604,21885601,22212308,22255501,22418450,22466796,22476577,22656278,22767424,22805676,23039487,23114195,23158262,23717101,23779095,23980388,24111224,24329591,24428031,24548010,24794401,24936817,24969515,25364368,25389668,25403735,25540503,25570167,25613352,25714957,25897911,26184544,26414797,26471702,26762017,26902140,27038497,27125127,27291062,27381431,27451057,27728504,27737034,27929101,28012663,28077908,28106822,28160860,28299687,28450232,28534914,28695616,28799554,28815021,28918982,28923290,29457612,29566118,29739937,29963418,30049958,30069517,30371798,30440675,30484482,30693062,30788257,30853478,30918001,31054551,31194567,31241101,31277603,31369837,31434097,31493702,32006511,32050232,32072737,32282568,32366948,32569287,32644311,32712788,32768504,32954737,33017197,33084182,33328417,33359788,33452401,33637837,33793032,33857727,33978404,34494637,34676401,34707948,35211687,35456557,35497527,35544839,35598998,35812388,35989537,36056511,36080943,36155348,36165901,36291050,36317889,36377318,36522695,36528810,36594922,36840404,36864567,36997382,37153057,37484295,37496497,37524308,37585691,37610401,37615142,37724017,38017161,38086715,38343757,38434388,38862275,38964064,39116330,39415767,39557101,39828001,39909815,39983248,40018090,40135268,40214918,40229800,40257697,40788337,40867895,41050957,41142220,41155595,41173154,41273318,41490788,41574795,41638983,41673901,41724758,41918675,41930401,42053624,42258111,42286477,42504404,42789037,42954068,43431601,43473464,43549260,43587271,43627604,43666022,43675501,43820977,43827234,43834572,43880811,43962518,44299988,44346448,44406182,44491297,44633101,44635748,44682290,44859428,44981154,44995718,45101101,45142742,45258525,45424417,45704058,46105357,46111303,46150177,46167878,46452544,46594417,46604967,46634730,46682401,46750502,46939596,46988077,47012984,47310327,47656840,47673517,47757901,47883937,47891778,47908838,47974115,48021708,48092557,48275760,48568235,48642404,48753551,48771542,48907647,48909037,49041474,49057958,49266591,49370664,49386714,49658017,49743712,49889754,50055878,50060615,50299604,50302410,50307275,50418337,50455597,50538104,50787697,50897101,50905622,51046742,51081495,51290468,51328237,51494144,51536044,51783601,51886957,52193137,52259112,52278460,52360717,52450022,52471167,52526497,52723057,52889607,52936148,53347832,53421601,53464138,53514157,53613945,53618748,53655904,53700662,53727601,53804915,53967217,54114637,54217559,54231277,54310230,54318001,54486928,54546097,54574628,54741901,54792548,55054295,55119188,55334317,55541997,55653927,55668001,55743277,55895222,55916401,55961676,56031158,56204977,56322157,56573617,56855367,56945101,57050401,57112717,57168700,57188208,57315757,57453601,57545144,57561567,57568938,57609335,57651158,57712407,57737101,57863857,57930912,57969697,58055917,58281882,58444717,58477604,58490401,58586582,58638001,58680877,58774600,58791501,58823151,58862247,58872397,59012977,59016404,59097901,59179297,59235277,59450737,59515501,59626417,59646998,59786401,59805517,59858977,59901601,59976877,60016311,60049777,60067597,60071917,60072738,60305078,60362892,60368730,60412807,60628004,60735188,60816035,61270628,61297794,61610438,61793511,61883195,61929868,62006847,62267530,62465675,62659028,62734152,62872148,63191588,63226635,63606554,63669062,63826125,63829604,64304822,64336734,64377951,64393312,64565898,64738287,64890404,64920995,65076802,65172276,65367627,65440118,65873290,66053588,66065154,66121425,66254675,66454751,66568184,66935702,67107668,67441744,67748811,67935634,68043782,68081200,68288438,68525675,68532518,68534450,68602440,68654342,69131202,69138311,69350703,69498635,69503078,69519908,69647930,69698188,69936135,70405863,70421015,70529520,70575921,71060582,71112034,71130995,71179382,71188004,71386424,71504727,72103367,72442476,72511543,72640868,72827462,72979242,73153423,73175936,73364948,73399767,73409222,73442744,73622920,73763074,73817675,73881188,74102582,74259834,74598544,74662287,74721036,74889207,74911268,74958810,75231488,75871962,75910763,75926198,75975319,76073127,76264022,76377340,76488518,76591350,76592879,77047238,77177745,77269718,77539832,77905194,78078543,79047948,79345710,79429911,79505610,79608585,79786838,79956064,80309727,80317268,80335311,80938232,81281702,81327188,81550378,81697440,82009707,82123238,82230810,82241340,82299050,82322928,82623087,82825785,83088395,83265302,83337428,83368262,83382935,83398362,83437604,83577516,83923362,83938004,84262871,84491318,84505218,84601995,84635424,84693638,84794582,84805984,84915824,84996038,85052607,85124675,85357194,85458507,85495911,85533908,85895462,86291462,86304010,86880050,86881142,87143936,87144695,87232311,87319508,87380675,87691832,87712864,87724096,87777035,88347504,88428278,88471240,88581210,88799588,88883675,89198914,89282342,89523071,89880404,89950572,89978468,90242128,90278367,90477772,90587702,91047032,91055511,91428711,91652808,91713515,91738148,91909620,92044982,92185115,92225108,92322404,92613294,92848502,92966860,93519447,93600023,93720824,93759927,93778004,93859467,94104700,94261604,94486624,94529218,94772125,94934198,95185995,95214852,95406732,95526902,95530302,95543195,95591503,95637275,95672668,95778758,95803748,95963631,96091988,96540067,96691142,96855158,97050104,97528868,97821195,98006228,98036928,98101604,98226038,98377784,98427791,98602125,98653311,98673188,98676972,98689608,98758860,98933351,98974187,99090902,99148628,99168662,99390942,99530145,99568840,99706074,99772647,99785558,...,257313085826586413742367836647286521754750534227450967009800697144535331318693689339789596082203244100675872607772592235598304669068561346962466910576217741239604995535368009676401088267225376540857838139209920917819943116171979966946999655727283139980619892267510675652724006455070612922404653585874412469890855756166346819203111923263494928481133776335349763023769953669058243169388912364541273646147805891995216727603830496706810822086190224505181287839832098085855638654852875580911924671325219836985512083794214158890355312158480484416417788065495366078456294361335194168117107939991108058980694563786931004571614047924678413421601719323609100251555987705763582471268507919242012152777119625511163732443269826442838058290490939001006299887892598096090735707283745028829010159226388140785576064894490277011240575828061756294230149286172977996617398886285031773712519938157877094578720430828633061477186939797363880887219190385919801900296024169216104773183638388276399438356279765866112348476463964396107505503801366746009917689256435294990607824029011137956803201653254900803502922349536461526531427661443788712232135505591378656246507753511778696489206929694711713702609311557227495453220290763025965227664234143907473474586177722879033085018030340721486901076393189434162255623207557028327777322346760542851329408700713965207279929605527461190342933729278750340507195391470503086635825405273740550903623385917935382601113773959355431931725310705168876174974125631632920759859358975540198132513383766655062870375748011355393912497556320962957558231215336533210845170352134351848883754660448978044153410596071355038292815336670576300113703911598284794602032799125096974069374255047155787279622888296748793299447233578880600864188552012969044576432319199099667521284237303425189629258920105172368924126472206664418145078622611446954480380545540184860101412746030114799465112713739625591691836575682855870498553956273375249734273205134818188200617394707377356491762023578291347103310274270536153120794042735566647677419484865189328885770737282673681849686510491295182307772654021962918966541484694671192787533019034916857265630520253662729777594418473436748767377728645965366706305080437241638889113509568650421784191437685054014346357907039039523701846875374140584197619828500546052881072630004344525022826528646423476332220852310053409993393162682593808913065629463081553604410269937928668576752411726433500477701442677182882625631440303838465082119103375366116}
15503  2501718000354935435382048823428642520722160395911469110419787058: {123976,139473,325353,387325,464790,495776,557748,2397385,2491153,2825337,2860285,2876862,3139801,3233857,3378513,3419533,3432342,3558790,3630985,4270548,4357182,4485430,4554505,4624633,4995841,5032857,5272201,5382516,5465406,5476585,5729353,5786902,5828797,5857113,6405537,6571902,6756457,6953097,6968401,7469485,7826302,8184790,8231636,8234185,8318217,8862753,8939926,8954953,8963382,9000937,9301502,9435673,9677937,9821748,9864118,9881022,10220313,10305817,10459748,10491177,10522285,10674505,11032257,11288833,11435005,11759480,12030097,12090502,12167953,12335761,12626742,12792790,12801385,12809406,12919233,13141993,13229415,13287860,13393897,13420148,13710505,13722006,13883257,13992753,14111376,14260593,14470526,14558977,14618185,14729281,14730296,14863862,15222505,15281396,15351348,15361662,15473281,15875298,15945432,15968062,16127785,16452606,16571583,17099401,17192577,17332585,17382790,17483005,17541822,17701112,17737748,17818957,17919601,17938611,18201278,18234505,18267006,18444217,18516657,18805513,19127533,19171640,19353342,19584685,19728075,19835337,19913751,19921496,20632585,20672180,20792137,20799102,20859348,20979606,21027001,21041830,21043280,21097321,21379885,21397753,21527542,21568095,21881406,21933993,22135201,22193822,22325684,22411683,22588813,22911476,23005968,23501622,23615785,23673690,23751433,24262441,24287377,24467222,24759102,24806616,24893953,25108664,25154228,25227326,25250196,25251936,25339640,25546285,25573377,25599430,25655862,25831713,25860824,25881714,25975126,26156377,26435005,26680575,26935633,27174505,27265597,27345656,27377193,27484897,27765385,27907443,27983617,28043953,28083495,28147017,28190377,28247247,28338942,28408428,28459280,28493581,28507095,28672441,29093427,29152057,29519977,29531533,29568903,29673758,29935713,29955728,29975485,30139030,30151297,30155158,30224893,30407568,30655542,30719316,30763863,31149673,31261441,31505377,31705460,31722006,31737085,32016690,32472633,32479777,32570708,32603917,32609406,32730680,33160081,33318462,33627675,33700194,33897601,33984417,34054004,34093556,34151136,34208514,34319473,34530548,34660630,34737393,34985342,35097385,35201075,35562790,35747821,35869520,35970582,36166836,36211582,36428113,36796921,36822015,36982712,37046137,37206982,37454857,37732916,37832953,37987417,38039281,38046552,38084502,38227222,38420028,38447497,38517901,38803142,38816102,39072337,39108817,39276816,39707553,39951224,40062790,40353210,40458685,40645976,40890985,40913101,40936593,40960630,41128382,41136361,41406068,41592756,41605551,41699735,42080401,42116862,42160233,42239126,42241290,42441697,42473005,42675348,42802371,43043424,43199331,43255501,43378473,43384935,43425716,43461622,43490641,43525748,44186418,44220841,44264638,44349177,44765485,44803201,44945127,45027517,45035533,45041113,45057376,45074937,45143636,45194185,45557697,45726723,46039593,46050505,46246537,46277264,46280217,46579201,46679353,46905385,46948916,47240553,47241193,47330036,47676062,48042985,48075348,48107924,48127657,48423852,48550422,48705080,48986377,49069182,49152756,49626273,49825537,49979060,50039682,50169085,50287250,50337997,50352001,50636461,50689548,50722022,50893453,50967606,51202861,51427775,51715921,51863485,52061113,52061922,52539337,52554356,52567030,52743286,52779073,52825222,53130505,53237617,53398497,53692585,53718582,53802577,54233022,54341830,54436575,54534505,54565977,54625033,54793215,54880513,54892383,55201201,55260606,55363417,55374985,55433060,55471286,55496073,55518644,55794685,55941526,56074285,56096077,56286462,56344148,56422713,57094801,57219241,57651582,57862033,58065680,58247161,58436312,58446096,58507748,58674495,58766230,58784737,58817233,58884481,59011526,59401702,59493613,59571050,59970073,59974872,60027135,60202902,60322377,60344700,60785281,60803005,60806281,60906553,60938744,61713330,61759731,61909977,62139956,62179640,62236182,62463121,62527933,62581142,62586128,62587137,62874505,63080436,63172630,63421318,63609901,63674966,63689737,63756606,63855704,64028944,64113085,64262401,64286398,64367680,64397497,64420055,64431102,64861057,65210196,65273726,65323890,65348075,65388632,65441406,65499033,65688788,65740851,65751858,65827552,65848952,65943777,66170185,66449982,66519672,66566401,66609273,66684790,66704137,66953622,67023435,67069880,67164577,67289142,67471731,67493577,67714113,67847353,67858417,67858993,68108660,68218285,68490685,68556087,68898985,69251817,69463693,69471457,69587341,69678816,69952095,69961556,70021681,70125753,70409394,70519476,70616377,70820953,71111917,71404201,71441542,71460875,71485260,71491664,71837667,71863257,71931430,72032562,72034742,72413640,72457837,72646177,72690937,72963606,73097005,73157313,73468250,73562211,73586937,73770505,74055996,74080071,74100457,74131801,74205236,74301346,74353441,74510038,74615568,74834631,75083817,75217753,75222817,75385118,75449406,75453615,75676333,75785005,75807156,75918985,76222201,76223422,76250944,76358433,76365757,76570113,76588285,76727782,76730353,76748756,76758584,76935702,76949876,77190121,77241216,77304066,77412335,77434801,77702701,77709176,77762617,78323785,78388668,78417690,78430868,78482996,78590185,78675033,78961862,78989485,79103497,79105286,79404222,79407046,79605697,79666153,79787005,80021748,80096984,80196207,80428122,80483856,80491640,80550993,80735533,81113005,81465345,81730392,81861942,82005721,82048537,82163197,82188822,82342801,82391348,82566985,82675796,82678782,83142182,83210230,83645536,83779777,83809622,83842833,83884585,83889817,83942514,84046737,84302180,84918841,85101500,85753050,85782312,85837268,86080561,86087864,86116657,86127382,86317716,86348257,86353407,86476737,86788621,86896368,86899885,87122735,87156836,87277501,87422823,87716406,87819361,87879873,87969278,88086872,88103422,88161900,88397953,88524606,88682942,88840262,88973401,88985005,89233030,89304961,89470497,89657257,89807821,90109107,90331748,90451657,90457617,90544338,90553095,90801085,90852086,90942006,91102782,91299782,91469920,91498801,91703843,91706185,91803430,91905942,91946691,92028650,92047633,92174936,92351485,92415657,92453222,92455297,92467604,92894802,93248180,93394297,93401295,93403057,93547117,93639085,93874484,93988542,94039360,94101228,94308222,94532521,94787382,94885886,95339636,95409831,95471675,95503593,95744406,96445321,96457233,96505101,96589968,96848847,96924790,97016353,97305656,97334401,97335606,97430942,97615203,97758414,97866356,98160177,98231137,98444401,98639041,98809935,99013112,99080382,99097731,99295441,99549716,99628048,99798241,99852276,99945080,...,385969628739879620613551754970929782632125801341176450514701045716802996978040534009684394123304866151013808911658888353397457003602842020443700365864326611859407493303052014514601632400838064811286757208814881376729914674257969950420499483590924709970929838401266013479086009682605919383606980378811618704836283634249520228804667884895242392721700664503024644535654930503587364754083368546811910469221708837992825091405745745060216233129285336757771931759748147128783457982279313371367887006987829755478268125691321238335532968237720726624626682098243049117684441542002791252175661909986662088471041845680396506857421071887017620132402578985413650377333981558645373706902761878863018229165679438266745598664904739664257087435736408501509449831838897144136103560925617543243515238839582211178364097341735415516860863742092634441345223929259466994926098329427547660568779907236815641868080646242949592215780409696045821330828785578879702850444036253824157159775457582414599157534419648799168522714695946594161258255702050119014876533884652942485911736043516706935204802479882351205254383524304692289797141492165683068348203258387067984369761630267668044733810394542067570553913967335841243179830436144538947841496351215861210211879266584318549627527045511082230351614589784151243383434811335542491665983520140814276994113051070947810919894408291191785514400593918125510760793087205754629953738107910610826355435078876903073901670660939033147897587966057753314262461188447449381139789038463310297198770075649982594305563622017033090868746334481444436337346823004799816267755528201527773325631990673467066230115894107032557439223005005864450170555867397427191903049198687645461104061382570733680919434332445123189949170850368320901296282828019453566864648478798649501281926355955137784443888380157758553386189708309996627217617933917170431720570818310277290152119119045172199197669070609438387537754863524283805747830934410062874601409807702227282300926092061066034737643035367437020654965411405804229681191064103349971516129227297783993328656105924010522774529765736942773461658981032944378449812227042006789181299528552375285898445780380494094666391627710155123151066592968948050059457620655862458333670264352975632676287156527581021519536860558559285552770313061210876296429742750819079321608945006516787534239792969635214498331278465080114990089744023890713369598444194622330406615404906893002865128617589650250716552164015774323938447160455757697623178655063049174}
15504  2512849411354043695426630257347062362107851888585561528456544935: {108479,154970,170423,185964,433804,479663,572279,619720,664823,697185,743664,818903,836622,897434,942023,1267802,1586303,1739183,1822274,1952879,2013863,2652263,2743514,2924783,3015479,3111002,3467879,3558143,3678383,3767116,3835816,4008383,4128143,4217879,4315293,4504684,4576456,4725023,4814279,5022263,5148513,5303834,5338185,5555279,5643863,5694064,5791343,5809576,5997479,6349943,6405822,6496463,6535773,6672023,6710476,6728145,7115354,7176688,7287208,7295714,7313279,7371383,7806143,7809484,8073774,8181479,8195354,8198109,8325479,8540716,8680353,8762536,9042479,9128183,9185279,9270796,9697703,9811223,9857853,9981263,10037879,10122743,10235783,10289545,10695194,10827143,11079503,11090956,11163479,11387063,11582279,11739453,11817004,11951176,12054743,12111002,12277185,12347454,12639554,12827879,12889009,12903916,12910343,13074685,13095664,13174696,13294223,13409889,13445073,13517594,13627084,13703783,13785479,13867103,13952253,13988236,14057279,14111543,14699350,14709676,14732622,14796177,14821533,15488473,15689622,15751223,15804479,15884303,16070279,16609825,16678583,16775185,16821314,16835656,16915463,17079208,17177903,17225644,17431309,17465663,17639220,18135753,18245543,18296008,18412870,18426479,18555479,18657004,18812879,18815168,18940113,19014124,19101745,19189185,19214109,19248623,19563074,19931790,20037263,20130222,20163743,20340479,20416103,20468464,20482216,20583009,20642543,20918423,21167064,21257954,21260576,21705789,21888743,21931874,21936808,21970081,22036943,22095444,22126390,22172185,22209479,22258703,22295793,22435802,22504343,22577879,22628221,22922094,22923436,23017583,23027022,23042493,23389096,23430479,23744663,23812947,23918148,23927449,23952093,23961383,23964550,24033479,24105503,24356008,24464543,24678909,24688876,24798023,24901870,24940463,25266914,25507343,25577879,25762202,25804456,25840225,25929479,25999583,26074185,26211262,26304100,26312733,26441903,26447116,26551668,26584802,26606622,27203279,27301917,27317879,27400509,27403802,27614903,27728783,27730394,27732136,27812464,27907105,27955943,27972808,28001279,28544354,28565279,28639345,28753153,28757460,29030013,29175208,29245324,29346479,29354714,29412983,29678279,29882244,30227279,30674624,30727943,30814583,30987479,31008270,31198653,31202879,31267343,31289022,31335496,31385830,31442785,31444802,31469409,31562745,31564920,31567223,31674550,31886783,32162279,32291313,32326030,32359873,32541503,32730143,32822109,32834663,33012136,33043103,33075488,33290733,33478223,33488526,33666928,33669248,33826202,34097836,34182070,34195583,34207816,34367214,34398743,34442284,34508952,34701983,34957321,34983383,35252433,35481983,35510535,35565229,35574100,35581103,35863874,35896943,36073703,36132479,36502924,36580703,36700833,36812879,37101479,37138653,37158983,37209924,37444660,37521503,37529356,37662996,37731342,37785256,37840989,37875294,37877904,38009460,38144279,38293943,38399145,38483793,38791236,38822571,38962689,39199463,39400103,39425204,39631825,39834503,39852503,39914284,40282103,40335479,40492606,40543424,40654223,40689479,40713385,40776002,40812623,40874056,40913350,40959088,41018484,41075183,41214479,41439743,41680823,41697983,41732279,41830874,42007537,42158279,42293543,42296008,42508413,42567505,42612642,42612743,42616945,42688920,42696263,42912479,42995279,43160279,43163185,43296844,43438943,43455263,43479208,43487879,43601783,43650479,43771202,43892879,44165423,44419453,44424616,44498903,44510637,44511002,44656463,44836900,44844479,44933592,44953154,45208545,45232737,45309479,45312556,45340223,45386279,45534848,45611352,45983313,46023503,46068479,46078974,46113383,46173143,46228390,46316524,46440479,46705223,46836623,47140703,47166145,47434202,47558190,47583009,47597279,47696063,47780423,47850503,47906423,47960776,48025035,48222448,48362879,48659182,48675863,48797183,48856062,48914109,48997943,49096020,49170479,49236479,49588802,49628279,49821479,49873634,49939030,49949279,49977693,50290343,50390279,50427623,50477303,50514479,50550291,50613263,50728736,50779336,50807470,50918663,50979143,51081006,51087503,51131773,51140334,51226704,51312771,51337823,51429914,51455783,51479279,51757585,51795822,51827879,51976703,51990945,52169279,52369088,52370663,52478013,52536503,52798103,52829594,52937879,52943404,53129183,53307479,53321401,53344185,53411279,53431943,53524034,53738063,53748143,53768279,53804280,53888423,53955873,53987663,54076994,54193463,54250254,54282145,54317373,54407185,54528623,54582124,54622583,54734279,54762023,54762862,54902114,55160663,55301783,55345463,55380263,55457008,55474068,55662479,55687703,55810473,55854023,55858202,55873741,55886903,55952279,56025326,56033279,56155816,56213644,56216543,56310479,56321720,56387879,56429545,56449223,56517623,56592863,56599374,56674703,56857103,56900464,57048479,57069828,57126753,57152279,57172823,57215053,57254279,57274463,57334583,57340833,57367703,57391232,57407183,57472343,57568583,57599108,57617833,57630042,57718823,57749543,57828479,57837964,57846580,57876383,57917879,57956701,57988103,58034279,58051463,58108223,58136303,58175279,58204713,58224153,58503383,58655903,58679783,58686145,58698743,58722263,58850279,58915224,58929263,58988903,59115383,59132236,59162545,59169983,59230463,59237879,59263583,59292479,59303183,59379479,59467823,59477279,59479874,59492879,59502143,59514383,59590823,59610479,59702879,59732303,59774279,59781023,59796479,59800823,59802983,59873543,59917943,59926836,59964623,59977223,59981279,60002903,60023279,60048983,60062879,60071303,60076343,60088463,60089279,60094185,60099916,60134905,60139034,60529815,60743596,60881350,60968964,61386124,61440945,61576514,61692573,61706956,61836002,62109102,62389134,62473825,62482202,62555206,62739674,62868194,62987404,63175293,63358689,63361935,64013022,64075297,64100464,64145474,64565136,64733896,65138574,65192433,65288622,65425576,65537008,65692945,65909474,66034394,66168364,66279627,66396957,66656834,66719576,66904802,67163761,67275674,67586064,67715454,67956808,67995529,68989274,69291325,69352802,69398305,69415896,70084861,70423374,70430185,70913114,70995054,71089678,71197996,71514093,71624776,71979074,72113022,72161886,72310696,72331802,72582100,72635778,72754636,72825633,73045390,73057620,73134685,73189844,73603773,73680808,73729134,73994764,74272957,74306114,74968590,74992994,75048616,75059523,75171382,75220802,75230284,75326881,75430875,75448034,76034322,76083033,76173430,76451409,76687514,76868776,77076013,77674945,77724550,77928128,78092883,78232660,78537433,78831534,78850545,79114202,79114929,79237833,79656002,79819630,79966496,80036180,80270536,80329117,80429836,80459600,80515394,80577873,80653069,81349533,81512745,81576674,81708913,81735790,82101914,82110985,82284440,82311190,82346308,82546636,82890909,82981576,83149590,83206929,83277966,83347802,83449516,83837350,83860802,83912289,84107248,84429693,84516222,84572954,84841441,85008808,85135825,85142449,85578074,85908136,86477373,86636473,86863202,86946928,87098520,87174542,87255208,87332044,87351002,87451945,87641954,87654468,87669144,87761622,87925036,88149345,88517289,88599976,88692896,88812364,88982594,89102553,89266202,89271496,89356575,89364580,89718856,89962308,89991436,90202202,90285484,90304353,90517050,90518857,90848834,90889393,91408116,92210714,92222606,92300354,92335756,92569995,92756545,92905088,93188834,93209934,93269460,93354273,93364802,93501004,93871713,93879192,93976154,94025968,94620654,94758945,95131977,95313680,95347034,95512449,95515802,95634909,95767874,95783556,95817676,95935945,95948230,96043416,96185114,96187345,96429597,96551520,96646653,97136470,97284808,97298089,97507102,97543084,97815294,97818074,97910589,97985835,98038585,98082948,98103745,98115916,98162109,98533182,98589421,98627787,98741328,98773428,99316034,99487424,99583393,99674973,99779508,...,578954443109819430920327632456394673948188702011764675772051568575204495467060801014526591184957299226520713367488332530096185505404263030665550548796489917789111239954578021771902448601257097216930135813222322065094872011386954925630749225386387064956394757601899020218629014523908879075410470568217428057254425451374280343207001827342863589082550996754536966803482395755381047131125052820217865703832563256989237637108618617590324349693928005136657897639622220693175186973418970057051830510481744633217402188536981857503299452356581089936940023147364573676526662313004186878263492864979993132706562768520594760286131607830526430198603868478120475566000972337968060560354142818294527343748519157400118397997357109496385631153604612752264174747758345716204155341388426314865272858259373316767546146012603123275291295613138951662017835893889200492389147494141321490853169860855223462802120969364424388323670614544068731996243178368319554275666054380736235739663186373621898736301629473198752784072043919891241887383553075178522314800826979413728867604065275060402807203719823526807881575286457038434695712238248524602522304887580601976554642445401502067100715591813101355830870951003761864769745654216808421762244526823791815317818899876477824441290568266623345527421884676226865075152217003313737498975280211221415491169576606421716379841612436787678271600890877188266141189630808631944930607161865916239533152618315354610852505991408549721846381949086629971393691782671174071709683557694965445798155113474973891458345433025549636303119501722166654506020234507199724401633292302291659988447986010200599345173841160548836158834507508796675255833801096140787854573798031468191656092073856100521379151498667684784923756275552481351944424242029180350296972718197974251922889533932706676665832570236637830079284562464994940826426900875755647580856227465415935228178678567758298796503605914157581306632295286425708621746401615094311902114711553340923451389138091599052106464553051155530982448117108706344521786596155024957274193840946675989992984158886015784161794648605414160192488471549416567674718340563010183771949292828562928847668670570741141999587441565232684726599889453422075089186430983793687500505396529463449014430734791371532279305290837838928329155469591816314444644614126228618982413417509775181301359689454452821747496917697620172485134616035836070054397666291933495609923107360339504297692926384475376074828246023661485907670740683636546434767982594573761}
15505  2524029959791760035369476716355287365570367868353660095647459366: {232455,247952,278946,542255,650706,774650,929580,991552,1115496,1254933,1346151,1901703,2733411,3356339,3821831,4004399,4115271,4666503,4708895,4794770,4982306,5083379,5583587,5630855,5650674,5720570,5753724,6230783,6279602,6376307,6467714,6757026,6839066,6864684,7117580,7261970,7308323,7667219,7955751,8235383,8388095,8541096,8714364,8970860,9109010,9249266,9608733,9718679,9761855,9991682,10065714,10457279,10544402,10637471,10673031,10675895,10765032,10930812,10943571,10953170,11016563,11369699,11458706,11527859,11573804,11588495,11657594,11714226,12110661,12293031,12616931,12811074,13143804,13512914,13787027,13863695,13906194,13936802,14731199,14771255,14840723,14938970,14944307,15269171,15652604,15829151,15997799,16009007,16042791,16129895,16369580,16463272,16468370,16566047,16636434,17033855,17293667,17438003,17485295,17725506,17879852,17909906,17921939,17926764,18001874,18166503,18387095,18521181,18603004,18871346,18959331,19194707,19355874,19643496,19728236,19762044,20208383,20276391,20440626,20465459,20611634,20919496,20982354,21044570,21311507,21349010,21377831,21532055,21797711,22049025,22064514,22098933,22477139,22577666,22578899,22870010,23321255,23402759,23518960,23534433,23767655,24060194,24181004,24265619,24335906,24476207,24671522,25231971,25253484,25379759,25528307,25585580,25602770,25618812,25838466,26159783,26283986,26458830,26575720,26787794,26840296,27418559,27421010,27444012,27488483,27619305,27766514,27985506,28222752,28521186,28654295,28885619,28941052,29117954,29145983,29236370,29344611,29458562,29460592,29727724,29897685,29931839,30104531,30195333,30445010,30488183,30562792,30702696,30723324,30861095,30946562,31750596,31845767,31886931,31890864,31936124,32255570,32482151,32880125,32897811,32905212,33005831,33058895,33062099,33143166,33164399,33189585,33653703,34198802,34383141,34385154,34452431,34540533,34665170,34765580,34852463,34966010,35083644,35402224,35475496,35633351,35637914,35764799,35839202,35877222,35946825,36269687,36402556,36469010,36534012,36556655,36888434,37009007,37033314,37061267,37352805,37459763,37611026,37900371,38044307,38179079,38255066,38343280,38385191,38540111,38643303,38706684,38871539,39169370,39316893,39456150,39601043,39670674,39827502,39842992,39877203,39909933,39953447,40396823,40918439,41105703,41265170,41344360,41584274,41595591,41598204,41718696,41959212,41965679,42054002,42083660,42086560,42194642,42622295,42759770,42795506,42816531,43052855,43055084,43136190,43762812,43867986,44032071,44264831,44270402,44387644,44431919,44467625,44651368,44823366,45177626,45437951,45628655,45726407,45822952,45919151,46011936,46065263,46219511,46238639,46366199,46512405,46805825,46911695,46933533,46988723,47003244,47078745,47099639,47167203,47231570,47347380,47502866,47511825,48132863,48466259,48489045,48524882,48574754,48607187,48934444,49136339,49281505,49518204,49613232,49731383,49759103,49787906,49892855,50217328,50232789,50308456,50333831,50454652,50500392,50503872,50679280,50739303,51092570,51146754,51198860,51273105,51286499,51311724,51550821,51663426,51721648,51722687,51763428,51950252,52059107,52256051,52312754,52870010,53244563,53361150,53795811,53809583,53871266,54121055,54349010,54531194,54691312,54754386,54798599,54969794,55530770,55814886,55967234,56046125,56087906,56166990,56294034,56380754,56494494,56530367,56597013,56640695,56642159,56677884,56812941,56816856,56918560,56987162,57014190,57226727,57240143,57247379,57344882,57430931,57800147,57892991,57895655,58186854,58304114,58379629,58832471,59039954,59063066,59137806,59347516,59403287,59462207,59871426,59911456,59950970,60278060,60302594,60310316,60449786,60738909,60814199,60815136,61164003,61311084,61370025,61438632,61527726,61942847,62041463,62299346,62522882,62671679,62746311,62845799,63010754,63271859,63410920,63444012,63474170,63918963,64033380,64366751,64470707,64669331,64869503,64945266,64959554,65141416,65207834,65218812,65237783,65461360,65656803,65667539,65812067,66179255,66211511,66320162,66580463,66636924,66712823,66766503,67255350,67260179,67400388,67429731,67795202,67867871,67968834,68025011,68108008,68187112,68227655,68302272,68417028,68638946,69061096,69118461,69321260,69342585,69472871,69474786,69747407,69803063,69970684,70030799,70104719,70194770,70236719,70267055,70402150,71125580,71151303,71337285,71495642,71735543,71739040,71941164,71998885,72297455,72308225,72333672,72384551,72423164,72608879,72856226,72988773,73284093,73593842,73644030,73915295,73965424,74092274,74110163,74382707,74383203,74413964,74580791,74810451,74908545,74909714,75124895,75169619,75465832,75665906,75929495,75974834,76078562,76093104,76169004,76211205,76348307,76454444,76552883,76621509,76710501,76732655,76840056,76894994,77035802,77133695,77144871,77524979,77606284,77632204,77693733,77712839,77772743,77774087,78112559,78144674,78217634,78263411,78503999,78553632,78632927,78669383,78734255,78837047,79244339,79244391,79415106,79616063,79902448,80125580,80196311,80286051,80706420,80917370,81115491,81291952,81295187,81375381,81781970,81826202,81848111,81873186,81921260,82102631,82144293,82256764,82272722,82353171,82710455,82812136,83185512,83211102,83399470,83787303,83790191,84037989,84160802,84233724,84320466,84386783,84453647,84478252,84480863,84482580,84579431,84883394,84899061,84946010,85124207,85350696,85604742,85907471,86086848,86359523,86398662,86445063,86511002,86756946,86769870,86851432,86923244,86981282,87051496,87842327,88024307,88163567,88372836,88441682,88529276,88698354,88997495,89219811,89530970,89606402,89758319,89819687,89890254,89936099,90055034,90071066,90080783,90082226,90114752,90149874,90188077,90208551,90233831,90287272,90388370,90727625,90943295,91115394,91322025,91453446,91487305,91510739,91526087,92079186,92101010,92364771,92493074,92493455,92554528,92560434,92638259,92754003,92999591,93158402,93163653,93296639,93358706,93485951,93583701,93723303,93731363,93810770,93832809,93897832,94037855,94109511,94302291,94339919,94481106,94482386,94660072,94802783,95352124,95505599,95886959,96019533,96085970,96150696,96215848,96218211,96255314,96458579,96847704,96999047,97100844,97410160,97707861,97790825,97932933,97972754,98110391,98138364,98305512,98531159,98864211,98930291,99051591,99142511,99252546,99400499,99651074,99811427,99835283,99958120,99985251,...,771939257479759241227103509941859565264251602682352901029402091433605993956081068019368788246609732302027617823317776706794914007205684040887400731728653223718814986606104029029203264801676129622573514417629762753459829348515939900840998967181849419941859676802532026958172019365211838767213960757623237409672567268499040457609335769790484785443401329006049289071309861007174729508166737093623820938443417675985650182811491490120432466258570673515543863519496294257566915964558626742735774013975659510956536251382642476671065936475441453249253364196486098235368883084005582504351323819973324176942083691360793013714842143774035240264805157970827300754667963117290747413805523757726036458331358876533491197329809479328514174871472817003018899663677794288272207121851235086487030477679164422356728194683470831033721727484185268882690447858518933989852196658855095321137559814473631283736161292485899184431560819392091642661657571157759405700888072507648314319550915164829198315068839297598337045429391893188322516511404100238029753067769305884971823472087033413870409604959764702410508767048609384579594282984331366136696406516774135968739523260535336089467620789084135141107827934671682486359660872289077895682992702431722420423758533168637099255054091022164460703229179568302486766869622671084983331967040281628553988226102141895621839788816582383571028801187836251021521586174411509259907476215821221652710870157753806147803341321878066295795175932115506628524922376894898762279578076926620594397540151299965188611127244034066181737492668962888872674693646009599632535511056403055546651263981346934132460231788214065114878446010011728900341111734794854383806098397375290922208122765141467361838868664890246379898341700736641802592565656038907133729296957597299002563852711910275568887776760315517106772379416619993254435235867834340863441141636620554580304238238090344398395338141218876775075509727048567611495661868820125749202819615404454564601852184122132069475286070734874041309930822811608459362382128206699943032258454595567986657312211848021045549059531473885546923317962065888756899624454084013578362599057104750571796891560760988189332783255420310246302133185937896100118915241311724916667340528705951265352574313055162043039073721117118571105540626122421752592859485501638158643217890013033575068479585939270428996662556930160229980179488047781426739196888389244660813230809813786005730257235179300501433104328031548647876894320911515395246357310126098348}
15506  2535259860857771970436177006305946048938885539516061437063579094: {201409,216958,309940,340846,371928,418419,867608,959326,976059,1034413,1144558,1161975,1218733,1239440,1329646,1394370,1487328,1637806,1673244,1794868,1884046,2409793,2535604,2955409,3046093,3172606,3478366,3498433,3644548,3905758,4027726,4666093,4755409,5304526,5487028,5556013,5849566,6030958,6222004,6526609,6935758,7116286,7192155,7356766,7473459,7534232,7671632,7836109,8016766,8256286,8435758,8476011,8580855,8614033,8630586,8896975,9009368,9152912,9215053,9419403,9450046,9628558,9701571,10044526,10135539,10258599,10297026,10491073,10607668,10676370,10744333,10892955,10912813,11110558,11213575,11287726,11332753,11388128,11582686,11619152,11994958,12084109,12499009,12699886,12811644,12829633,12992926,13071546,13344046,13420952,13456290,13663515,13873899,14230708,14353376,14405363,14467255,14574416,14591428,14626558,14742766,14987523,15098571,15433153,15612286,15618968,15673453,15816603,16072513,16147548,16362958,16390708,16396218,16429755,16650958,17081432,17188059,17337409,17360706,17486391,17525072,17571339,18084958,18256366,18304559,18370558,18541592,19216611,19395406,19565755,19622446,19715706,19735693,19962526,20040109,20075758,20245486,20269371,20461975,20471566,20579090,20594563,20859291,20905203,21390388,21544909,21654286,22159006,22181912,22326958,22349815,22408455,22581133,22774126,23164558,23253755,23458093,23478906,23485259,23634008,23902352,24036973,24109486,24222004,24396433,24468109,24554370,24660295,24694908,24702555,24954651,25279108,25534609,25605133,25655758,25778018,25807832,25820686,26149370,26191328,26349392,26588259,26588446,26742443,26819778,26864859,26890146,26931409,27002811,27035188,27254168,27344833,27407566,27570958,27734206,27904506,27976472,28028113,28114558,28223086,28307019,29033811,29039533,29398700,29419352,29465244,29592354,29643066,29704813,30226255,30231853,30660939,30884173,30917451,30976946,31041059,31379244,31473531,31502446,31566855,31608958,31768606,31815619,31981975,32023515,32140558,32230609,32546509,32923213,33096771,33219650,33357166,33550370,33642628,33671312,33730513,33830926,33866499,33980999,34158416,34305015,34343233,34355806,34404109,34451288,34646893,34862618,34931326,35068993,35248813,35278440,35606509,36090291,36176315,36271506,36431053,36491086,36503859,36592016,36722113,36825740,36852958,37007283,37069009,37110958,37159655,37314008,37625758,37630336,37698253,37880226,37981393,38028248,38203490,38378370,38404155,38428218,38497246,38757699,39040909,39069947,39126148,39425979,39533713,39642433,39688245,39859009,39863580,39920155,40074526,40095083,40181691,40260444,40327486,40660909,40680958,40832206,40936928,40964432,41131515,41166018,41285086,41446609,41649771,41653393,41704909,41756353,41836846,41978259,42012493,42334128,42418573,42515908,42521152,42720109,42781779,43027963,43216909,43411578,43456975,43462609,43676931,43777486,43854555,43863748,43873616,43900333,43940162,44019899,44073886,44187843,44190888,44252780,44344370,44418958,44517406,44591586,44871604,45008686,45155758,45178513,45256442,45409453,45503195,45667515,45844188,45846872,46035166,46046509,46054044,46084986,46419843,46778192,46860958,47149009,47321233,47489326,47619853,47625894,47836296,47854898,47904186,47922766,47929100,48066958,48211006,48383355,48576193,48712016,48929086,49020109,49150519,49179373,49357818,49377752,49596046,49611409,49645271,49650253,49714749,49803740,49843393,49880926,49958413,50148673,50186509,50412013,50533828,51014686,51155758,51288109,51298203,51524404,51577731,51608912,51680450,51858958,51997755,51999166,52020673,52148370,52422524,52449015,52491409,52604575,52608200,52625466,52883806,52894232,52948033,53103336,53107693,53169604,53213244,53456871,53758609,53758803,53815833,53818855,54320173,54406558,54603834,54605293,54633409,54635758,54703515,54745153,54801018,54807604,55229806,55286593,55332651,55457566,55460788,55464272,55484555,55549971,55572109,55624928,55673773,55814210,55848913,55911886,55945616,56002558,56044753,56399533,56416539,56514193,56998739,57088708,57130558,57184909,57266413,57278690,57286609,57382599,57506306,57514920,57580909,57786433,58060026,58204609,58221133,58270273,58350416,58490648,58692958,58709428,58726033,58754055,58823053,58825966,59006509,59184225,59187409,59255233,59352109,59356558,59393293,59491213,59506011,59594507,59599213,59663723,59719633,59741253,59764488,59777233,59817409,59823853,59842753,59848909,59901073,59996113,60039313,60076609,60096013,60107713,60109009,60428459,60454558,61168055,61349248,61455886,61629166,61897755,61974958,62016540,62376411,62397306,62405758,62534686,62578044,62670992,62771660,62885570,62889604,62938818,63068315,63081003,63125490,63129840,63134446,63291963,63349100,63773566,63998575,64139655,64193259,64324558,64582626,64652060,64704285,64719746,64937815,65083006,65460286,65644218,65669326,65801979,66024272,66032603,66086206,66150976,66405603,66581466,66956446,66977052,67235049,67333856,67338496,67652404,67766439,68195672,68364140,68391166,68415632,68494283,68734428,68797486,68884568,69017904,69403966,69914642,69966766,70504866,70847355,70963966,71021070,71130458,71148200,71162206,71254299,71727748,71793886,72147406,72264958,72460619,72787323,72862131,73005848,73161406,73401666,73625758,74184395,74202958,74277306,74317966,74419848,74681859,74889320,75043006,75058712,75325992,75347575,75387895,75462684,75570512,75681978,75725351,75750588,75755808,75995003,76018920,76170059,76288558,76587886,76612723,76638855,76720131,76798290,76967586,77495139,77582472,77645142,77925378,78398926,78469131,78800206,78850408,79001363,79263650,79305015,79669006,79705006,79828568,80041725,80564206,80670958,80806899,80985212,81086848,81308446,81378958,81426770,81523515,81552004,81625246,81748112,81796791,81826700,81918176,82036968,82131579,82150366,82160603,82428958,82454691,82827563,82879486,83296155,83361646,83395966,83464558,83661748,83722329,83950851,84015074,84131859,84188867,84250485,84316558,84441051,84571131,84587086,84592016,84741741,85016826,85135010,85225284,85225486,85233890,85377840,85392526,85480743,85521285,85824958,85990558,86017323,86320558,86326370,86593688,86651575,86877886,86910526,86958416,86975758,87203566,87280281,87300958,87456171,87463355,87542404,87777131,87785758,88330846,88559931,88594599,88706709,88838906,88849232,88906975,88997806,89021274,89022004,89312926,89673800,89688958,89807139,89867184,89906308,89926455,90417090,90453891,90465474,90528955,90618958,90625112,90674679,90680446,90772558,91069696,91222704,91966626,91970123,92047006,92136958,92157948,92226766,92291589,92346286,92456780,92633048,92880958,93017455,93410446,93449019,93673246,93784323,94281406,94332290,94516131,94822787,94868404,94934411,95116380,95166018,95194558,95211255,95392126,95560846,95568055,95701006,95812846,95921552,96050070,96444896,96565079,96725758,97007855,97040255,97157627,97318364,97351726,97417899,97439331,97594366,97712124,97811751,97828218,97995886,98192040,98340958,98472958,98602259,99177604,99256558,99480243,99642958,99747268,99878060,99898558,99955386,...,1157908886219638861840655264912789347896377404023529351544103137150408990934121602029053182369914598453041426734976665060192371010808526061331101097592979835578222479909156043543804897202514194433860271626444644130189744022773909851261498450772774129912789515203798040437258029047817758150820941136434856114508850902748560686414003654685727178165101993509073933606964791510762094262250105640435731407665126513978475274217237235180648699387856010273315795279244441386350373946837940114103661020963489266434804377073963715006598904713162179873880046294729147353053324626008373756526985729959986265413125537041189520572263215661052860397207736956240951132001944675936121120708285636589054687497038314800236795994714218992771262307209225504528349495516691432408310682776852629730545716518746633535092292025206246550582591226277903324035671787778400984778294988282642981706339721710446925604241938728848776647341229088137463992486356736639108551332108761472471479326372747243797472603258946397505568144087839782483774767106150357044629601653958827457735208130550120805614407439647053615763150572914076869391424476497049205044609775161203953109284890803004134201431183626202711661741902007523729539491308433616843524489053647583630635637799752955648882581136533246691054843769352453730150304434006627474997950560422442830982339153212843432759683224873575356543201781754376532282379261617263889861214323731832479066305236630709221705011982817099443692763898173259942787383565342348143419367115389930891596310226949947782916690866051099272606239003444333309012040469014399448803266584604583319976895972020401198690347682321097672317669015017593350511667602192281575709147596062936383312184147712201042758302997335369569847512551104962703888848484058360700593945436395948503845779067865413353331665140473275660158569124929989881652853801751511295161712454930831870456357357135516597593007211828315162613264590572851417243492803230188623804229423106681846902778276183198104212929106102311061964896234217412689043573192310049914548387681893351979985968317772031568323589297210828320384976943098833135349436681126020367543898585657125857695337341141482283999174883130465369453199778906844150178372861967587375001010793058926898028861469582743064558610581675677856658310939183632628889289228252457237964826835019550362602719378908905643494993835395240344970269232071672140108795332583866991219846214720679008595385852768950752149656492047322971815341481367273092869535965189147522}
15507  2546539330676684825999463316941401812305223610303888703654613376: {325437,387425,464910,495904,511269,557892,759157,1084510,1301412,1438989,1549300,1716837,1859160,1983104,1994469,2091555,2230992,2243585,2456709,2509866,2692302,2826069,3169505,3803406,3914669,4471697,4555685,4758909,4933973,5217549,5466822,5858637,6041589,6047597,6592453,6712678,6858785,7622273,7643662,7777505,7883197,7956789,8008798,8178869,8230542,8637109,8774349,9003269,9046437,9333006,9417790,9589540,9964612,10166758,10403637,10674429,10862053,11035149,11167174,11261710,11301348,11441140,11507448,11743333,12025149,12338957,12384429,12461566,12559204,12653637,12752614,12935428,12945879,13259585,13436917,13514052,13666597,13678132,13729368,14072069,14175069,14235160,14442837,14523940,14562749,14616646,14946253,15066789,15334438,15445539,15911502,16014555,16223893,16470766,16665837,16776190,16931589,17082192,17374029,17428728,17708533,17788385,17879893,17941720,17992437,18218020,18239285,18498532,19049829,19121069,19217466,19409173,19437358,19489389,19523710,19607319,19983364,20016069,20131428,20184435,20488385,20608549,20679757,20914558,21088804,21274942,21346062,21351790,21530064,21861624,21887142,21906340,21939837,22033126,22114149,22581853,22739398,22917412,23055718,23146013,23147608,23176990,23301713,23315188,23418429,23428452,23847397,24221322,24479413,24544357,24544437,24586062,24594327,24976437,25169429,25233862,25622148,25741933,26041059,26287608,26737985,27025828,27127437,27384549,27555837,27574054,27727390,27812388,27873604,27981677,28159373,28365613,29093109,29400509,29433669,29462398,29539217,29542510,29573559,29681446,29877940,29888614,29943789,30113637,30144877,30277505,30368229,30538342,30707349,30868635,31305208,31598885,31658302,31995598,32018014,32085582,32259790,32481429,32486389,32649757,32739160,32926544,32936740,33132094,33152933,33238509,33272868,33274717,33490437,33492449,33793985,34047317,34067710,34161189,34204493,34587334,34746837,34876006,34970590,35218359,35451012,35734709,35759704,35819812,35843878,35853528,36003748,36031489,36164229,36333006,36748375,36774190,36831555,37042362,37066093,37206008,37742692,37842797,37918662,38126693,38389414,38483637,38667027,38711748,38731029,39119069,39224055,39286992,39456472,39524088,39882669,40116013,40229667,40335219,40416766,40536709,40552782,40881252,40930918,41111349,41223268,41356437,41601309,41838992,41856759,41964708,42053285,42089140,42171837,42334629,42623014,42698020,42706973,42755662,43064110,43205533,43261409,43595422,44069069,44098050,44129028,44197866,44270629,44388531,44464599,44954278,44987893,45039233,45056693,45155332,45157798,45732373,45740020,46032175,46282453,46465419,46642510,46805518,47037920,47068866,47253669,47413437,47535310,47652909,48120388,48210837,48312349,48362008,48531238,48671812,48907685,48952414,49085989,49343044,49675853,49829475,50035749,50325555,50463942,50506968,50746389,50759518,51056614,51171160,51179317,51205540,51237624,51533709,51676932,52293927,52319566,52348349,52396989,52567972,52640773,52917660,53144885,53151440,53575588,53680592,54407259,54736629,54796417,54829685,54837118,54842020,54888024,54976966,55173697,55238610,55279437,55315975,55533028,55666437,55971012,56089505,56110673,56438637,56445504,56820339,57042372,57305235,57308590,57567555,57642327,57745869,57771238,57807709,57823733,57882104,57886229,58235908,58291966,58472740,58689222,58899917,58917124,58921184,59455448,59671213,59776013,59795370,59863678,59911375,59985677,60111789,60209062,60273997,60390666,60429013,60491229,60611317,60890020,60976366,61021437,61125584,61245493,61248309,61405392,61446648,61722190,61749027,61893124,61927629,61950913,62254675,62755269,63167285,63501192,63691534,63773862,63781728,63872248,63880117,64405505,64414253,64511140,64642853,64964302,65117367,65528155,65666229,65676373,65760250,65795622,65810424,65910243,66011662,66110829,66117790,66124198,66236609,66286332,66328798,66379170,66391909,66462005,66516555,66552977,66628437,66776109,66887379,67307406,67379933,67513029,67733637,67884663,68033869,68079917,68397604,68455969,68509505,68766282,68770308,68904862,68994107,69009397,69052749,69081066,69127479,69265397,69325985,69330340,69489893,69531160,69704926,69849997,69932020,70167288,70291437,70804448,70950992,71233989,71266702,71275828,71360885,71438841,71529598,71678404,71754444,71782347,71856279,71884149,71893650,72100437,72316509,72539374,72805112,72909173,72938020,73068024,73113310,73321729,73353269,73386785,73393629,73776868,74018014,74036727,74066628,74122534,74394069,74557573,74705610,74821389,74919526,75222052,75769477,75800742,76088614,76358158,76510132,76522029,76686560,76733637,76770382,77080222,77286606,77376589,77413368,77520675,77743078,77788437,77998749,78222555,78338740,78352333,78464575,78612005,78633786,78847333,78912300,78938199,79124573,79186375,79202086,79296973,79325709,79341348,79417109,79655004,79685984,79754406,79819866,79906894,80650109,80793646,80815075,81053917,81305773,81609837,81767297,81836878,81858769,81905751,81953637,82201527,82211406,82494529,82530340,82688720,82844709,83168548,83186349,83191182,83196408,83437392,83721315,83867829,83918424,83931358,84003837,84108004,84167320,84173120,84389284,84565505,84674693,84778369,85244590,85455175,85519540,85587253,85591012,85633062,85695837,85918035,86102993,86105710,86110168,86259459,86272380,87090039,87525624,87735972,87940109,88039437,88064142,88238949,88529662,88540804,88775288,88863838,88935250,88953217,89034837,89302736,89646732,89659685,90006797,90355252,90471589,90681837,90820033,90837137,90875902,91257310,91452814,91531253,91645904,91838302,92023872,92130526,92183829,92316517,92344493,92439022,92443749,92477278,92650957,92732398,92962437,93024810,93595959,93608637,93611650,93802029,93823390,93867066,93977446,94006488,94157490,94199278,94243813,94328355,94334406,94380653,94408227,94463140,94688235,94694760,94701669,95005732,95023650,95518717,95660349,95793109,96265726,96486837,96873939,96932518,96978090,97049764,97079619,97149508,97214374,97624509,97868888,98156333,98190429,98272678,98361677,98373877,98466327,98503989,98563010,99036408,99129309,99226464,99427309,99462766,99518206,99575812,99785710,99862913,99872199,...,1736863329329458292760982897369184021844566106035294027316154705725613486401182403043579773554871897679562140102464997590288556516212789091996651646389469753367333719863734065315707345803771291650790407439666966195284616034160864776892247676159161194869184272805697060655887043571726637226231411704652284171763276354122841029621005482028590767247652990263610900410447187266143141393375158460653597111497689770967712911325855852770973049081784015409973692918866662079525560920256910171155491531445233899652206565610945572509898357069743269810820069442093721029579986939012560634790478594939979398119688305561784280858394823491579290595811605434361426698002917013904181681062428454883582031245557472200355193992071328489156893460813838256792524243275037148612466024165278944595818574778119950302638438037809369825873886839416854986053507681667601477167442482423964472559509582565670388406362908093273164971011843632206195988729535104958662826998163142208707218989559120865696208904888419596258352216131759673725662150659225535566944402480938241186602812195825181208421611159470580423644725859371115304087136714745573807566914662741805929663927336204506201302146775439304067492612853011285594309236962650425265286733580471375445953456699629433473323871704799870036582265654028680595225456651009941212496925840633664246473508729819265149139524837310363034814802672631564798423568892425895834791821485597748718599457854946063832557517974225649165539145847259889914181075348013522215129050673084896337394465340424921674375036299076648908909358505166499963518060703521599173204899876906874979965343958030601798035521523481646508476503522526390025767501403288422363563721394094404574968276221568301564137454496003054354771268826657444055833272726087541050890918154593922755768668601798120029997497710709913490237853687394984822479280702627266942742568682396247805684536035703274896389510817742472743919896885859277125865239204845282935706344134660022770354167414274797156319393659153466592947344351326119033565359788465074871822581522840027969978952476658047352485383945816242480577465414648249703024155021689030551315847878485688786543006011712223425998762324695698054179799668360266225267559292951381062501516189588390347043292204374114596837915872513516784987466408775448943333933842378685856947240252529325543904079068363358465242490753092860517455403848107508210163192998875800486829769322081018512893078779153426128224484738070984457723012222050909639304303947783721283}
15508  2557868586312051366201611512382848317109899799726492217345348100: {170467,402818,433916,619880,634147,681692,697365,726667,743856,836838,1626765,1647907,1735216,1918652,1936625,1952118,2014387,2068826,2288491,2289116,2323950,2437466,2478880,2659292,2743891,2788740,2974656,3275612,3346488,3589736,3649291,3764799,3768092,4038453,4278787,4819586,5071208,5260867,5438491,5705109,5910818,6057907,6092186,6345212,6498187,6956732,6996866,7289096,7373347,7811516,8055452,8200233,8327707,8500291,9187747,9332186,9510818,9529747,10040587,10069017,10609052,10974056,11112026,11222467,11465493,11699132,11891491,11986925,12013197,12061916,12307291,12345813,12444008,12455765,12886387,12968827,13053218,13789267,13871516,13999509,14115427,14126685,14232572,14301425,14384310,14713532,14764291,14946918,15068464,15250137,15328267,15343264,15672218,15699005,15808867,16033532,16169285,16512572,16750761,16871516,16892565,16920187,16952022,16999027,17097665,17161710,17228066,17261172,17793950,17939491,18018736,18154925,18305824,18430106,18483307,18692349,18838806,18900092,19128921,19257116,19403142,20089052,20093587,20254157,20271078,20396707,20517198,20594052,20982146,20999491,21149467,21215336,21352740,21488666,21785910,21825626,21924969,22221116,22265107,22338907,22427150,22575452,22665506,22772525,22776256,23001657,23072947,23123165,23165372,23238304,23582491,23867253,23989916,24168218,24339029,24519427,24706149,24805267,24979205,24998018,25164285,25399772,25623288,25659266,25726291,25985852,26143092,26217187,26361005,26688092,26841904,26912580,27327030,27382925,27392057,27463291,27747798,28009627,28281067,28461416,28618747,28646765,28706752,28810726,28826199,28934510,29143985,29148832,29156037,29182856,29253116,29285565,29485532,29975046,30017347,30197142,30866306,30996907,31224572,31237936,31255387,31289741,31346906,31371837,31448491,31633206,31912413,32019093,32027685,32087491,32145026,32295096,32555257,32725916,32781416,32792436,32830713,32859510,33032491,33049689,33301916,33467947,33653491,33782285,34109097,34162864,34376118,34450027,34524413,34571491,34583577,34674818,34721412,34765485,34842005,34972782,35050144,35142678,35558633,35770291,35947627,36169916,36183067,36331983,36512732,36534067,36609118,36741116,36879093,36940291,37083184,37228291,37347425,37600277,37628467,37850793,38433222,38790812,39131510,39244892,39431412,39471386,39901507,39925052,40080218,40151516,40490972,40538742,40702867,40808491,40923950,40943132,41071291,41158180,41170925,41189126,41228107,41361081,41591085,41718582,41746147,41810406,42256987,42316757,42358291,42710587,42780776,43089818,43308572,43502587,43697707,43843291,44193597,44313765,44318012,44363824,44522169,44653916,44699630,44774765,44816910,44832921,44891107,45004685,45162266,45355867,45493891,45548252,45807513,45949291,46174291,46329116,46507510,46916186,46957812,46970518,47056291,47178365,47186107,47268016,47487453,47698891,47804704,47993397,48027021,48073946,48128373,48218972,48389685,48444008,48448627,48530491,48792866,48814747,48936218,49015627,49108740,49214707,49320590,49389816,49405110,49411987,49698141,49909302,50483491,50558216,50646841,50851229,51069218,51101565,51210266,51311516,51392491,51498547,51529085,51556036,51615664,51641372,51847387,51881001,52023517,52087291,52298740,52314009,52382656,52455885,52589491,52611425,52655227,52698784,52818307,52979587,53176518,53176892,53372525,53452627,53484886,53639556,53729718,53765817,53780292,53789227,53862818,53909467,54005622,54070376,54087667,54499509,54508336,54662947,54689666,54774547,54815132,54912427,54932933,55048507,55141916,55161285,55468412,55563543,55701907,55727107,55777291,55809012,55888217,55952944,55975147,56056226,56072347,56229116,56444165,56446172,56608891,56614038,56877993,57002227,57086467,57148891,57175025,57210667,57352291,57490387,57584121,57700267,57919291,57972427,58007491,58067622,58079066,58086977,58421491,58797400,58838704,58925491,58930488,58990291,59015707,59138467,59184708,59265187,59286132,59393491,59409626,59413867,59511427,59668891,59723827,59829667,60059491,60086491,60097291,60102907,60120547,60150485,60452510,60463706,60625149,60829173,60839765,61321878,61396377,61678805,61768346,61834902,61953892,62082118,62758488,62947062,63004892,63133710,63217916,63537212,63631238,63704473,63934521,63963950,64006925,64047030,64133493,64281116,64461218,64596165,65093018,65393133,65709965,65846426,66147075,66193542,66296799,66439300,66714332,66969485,67100740,67285256,67342624,67431417,67461026,67661852,67732998,67736697,67961998,68316832,68552525,68610030,68686466,68711612,68808218,68902576,69293786,69416285,69725236,69862652,69963765,70137986,70208277,70497626,70556880,70603299,71213018,71302965,72180582,72352630,72543012,72794885,72796857,72862106,72982172,73007718,73090925,73184032,73428621,73444226,73646405,73651480,73705916,74014566,74138018,74221916,74319310,74628016,75251516,75260672,75346397,75396506,75695913,75760452,75962786,76056496,76112525,76139277,76406980,76584921,76756740,76808310,76856436,76994492,77366405,77515398,77678377,78081818,78139894,78252296,78479349,78851958,79067426,79284866,79376490,79718018,79727160,79840310,80149052,80190166,80349929,80363382,80520888,80638925,80654972,80947789,81321818,81361916,81664412,81873856,81928864,82255677,82263030,82332036,82465449,82570172,82857915,82893218,83299542,83306786,83409818,83512706,83673692,83790773,83956518,84024986,84668256,84837146,85031816,85042304,85440218,85497005,85563558,85635277,85962885,86055926,86433818,86656857,86662925,86823156,86913950,86925218,87353862,87415025,87437949,87554972,87709110,87727496,87747232,87800666,87801593,87880324,88033833,88039798,88147772,88295641,88375686,88381776,88505560,88688740,88837916,89034812,89094785,89183172,89598005,89693055,89743208,89795517,89909369,90017372,90311516,90313593,90357026,90512884,90542309,90585999,90818906,90912941,91006390,91172525,91335030,91464549,91688376,91693744,92070332,92093018,92108088,92169972,92221085,92583285,92839686,93556384,93721916,94027565,94298018,94642466,94978652,95239706,95251788,95537301,95637665,95660793,95672592,95709796,95808372,95845532,95858200,96133916,96422012,96766710,97152386,97424032,97446453,97858172,97923425,98040218,98301038,98358746,98640375,98693433,98715636,98755504,99017493,99176685,99186297,99192092,99222818,99290542,99300506,99429498,99493197,99568755,99607480,99686786,99761852,99916826,...,2315817772439277723681310529825578695792754808047058703088206274300817981868243204058106364739829196906082853469953330120384742021617052122662202195185959671156444959818312087087609794405028388867720543252889288260379488045547819702522996901545548259825579030407596080874516058095635516301641882272869712229017701805497121372828007309371454356330203987018147867213929583021524188524500211280871462815330253027956950548434474470361297398775712020546631590558488882772700747893675880228207322041926978532869608754147927430013197809426324359747760092589458294706106649252016747513053971459919972530826251074082379041144526431322105720794415473912481902264003889351872242241416571273178109374994076629600473591989428437985542524614418451009056698991033382864816621365553705259461091433037493267070184584050412493101165182452555806648071343575556801969556589976565285963412679443420893851208483877457697553294682458176274927984972713473278217102664217522944942958652745494487594945206517892795011136288175679564967549534212300714089259203307917654915470416261100241611228814879294107231526301145828153738782848952994098410089219550322407906218569781606008268402862367252405423323483804015047459078982616867233687048978107295167261271275599505911297765162273066493382109687538704907460300608868013254949995901120844885661964678306425686865519366449747150713086403563508753064564758523234527779722428647463664958132610473261418443410023965634198887385527796346519885574767130684696286838734230779861783192620453899895565833381732102198545212478006888666618024080938028798897606533169209166639953791944040802397380695364642195344635338030035186701023335204384563151418295192125872766624368295424402085516605994670739139695025102209925407777696968116721401187890872791897007691558135730826706663330280946551320317138249859979763305707603503022590323424909861663740912714714271033195186014423656630325226529181145702834486985606460377247608458846213363693805556552366396208425858212204622123929792468434825378087146384620099829096775363786703959971936635544063136647178594421656640769953886197666270698873362252040735087797171314251715390674682282964567998349766260930738906399557813688300356745723935174750002021586117853796057722939165486129117221163351355713316621878367265257778578456504914475929653670039100725205438757817811286989987670790480689940538464143344280217590665167733982439692429441358017190771705537901504299312984094645943630682962734546185739071930378295044}
15509  2569247845770418652882407331593201187277828212545980639227215814: {542395,604227,650874,774850,852115,929820,991808,1022538,1115784,1255257,1518314,2169020,2398315,2602824,2861395,2877978,2928177,3098600,3103239,3141019,3324115,3433674,3485925,3656199,3718320,3966208,3988938,4094515,4183110,4437307,4461984,4487170,4626427,4710115,4913418,4997779,5019732,5274247,5384604,5652138,5831059,6292627,6339010,6377959,6759079,7229379,7606812,7829338,7931515,7988167,8147947,8519011,8695915,8866227,8943394,9111370,9138279,9517818,9602299,9764395,9867946,10019911,10069315,10435098,10495299,10640227,10769347,10888507,10933644,11717274,12048487,12083178,12095194,12994291,13184906,13261315,13425356,13717570,13790599,13910539,13998279,14266227,14623915,15077395,15244546,15273127,15287324,15555010,15766394,15913578,16017596,16357738,16432867,16461084,16570339,16630627,16668039,16689559,17274218,17339395,17548698,17790715,18006538,18092874,18115207,18356971,18391915,18563419,18666012,18835580,19179080,19579827,19929224,20041915,20333516,20640715,20699659,20807274,20934439,21089395,21348858,21576465,21724106,22070298,22334348,22420377,22523420,22597627,22602696,22882280,23014896,23149027,23483911,23486666,23508327,23625115,23711299,24050298,24071395,24677914,24768858,24903739,24923132,25111315,25118408,25157011,25307274,25428033,25505228,25534999,25742565,25842099,25870856,25878427,25891758,25932787,26043091,26426347,26519170,26690925,26873834,27028104,27333194,27354379,27356264,27458736,27645159,27776395,28144138,28163047,28219315,28258209,28350138,28470320,28504699,28683739,28885674,28956715,29047880,29104713,29125498,29233292,29892506,29947459,29987395,30133578,30163111,30406617,30668876,30775797,30891078,31273639,31473219,31749715,31823004,32029110,32160007,32232999,32447786,32482315,32678865,32738439,32941532,33014419,33279259,33331674,33360115,33489511,33552380,33640725,33646579,33863178,33998259,34164384,34208947,34748058,34857456,35126227,35283691,35417066,35481127,35576770,35759786,35883440,35984874,36252327,36436040,36442327,36478570,36566395,36856915,36997064,37433179,37497027,38099658,38131687,38228551,38242138,38434932,38462611,38488899,38550139,38818346,38874716,38978778,39030715,39047420,39180739,39214638,39724171,39954427,39966728,40032138,40115911,40262856,40368870,40458427,40907395,40976770,40990545,41217098,41359514,41621697,41627395,41829116,42177608,42306547,42388507,42476659,42549884,42692124,42703580,43060128,43086307,43216089,43272379,43401765,43723248,43774284,43812680,43879674,44066252,44154667,44228298,44238439,44863639,44962569,45053179,45058819,45163706,45212395,45295713,45391687,45478796,45640915,45834824,45926395,45931099,46111436,46231627,46292026,46295216,46299459,46353980,46597459,46603426,46630376,46836858,46856904,47020359,47035747,47311579,47449809,47694794,47702419,48145387,48217539,48364699,48442644,48488515,48958826,49056115,49088714,49088874,49172124,49188654,49289265,49906315,49952874,50189395,50196019,50338858,50467724,50613715,50656219,51178915,51244296,51359767,51447725,51483866,51564177,51954727,52012227,52081627,52082118,52459173,52575216,52714017,53248819,53475970,53576071,54051656,54135715,54254874,54769098,54901927,54913677,55111674,55148108,55353019,55397515,55454780,55520071,55624776,55747208,55817395,55963354,56201827,56318746,56731226,56935315,57117079,57649833,57884779,57911395,58157011,58186218,58310851,58697265,58801018,58840279,58847779,58867338,58874599,58924796,59078434,59085020,59147118,59207079,59362892,59418859,59516827,59755880,59777228,59783911,59887578,60120327,60227274,60273715,60289754,60440899,60555010,60736458,60808113,60808999,60930427,61076684,61083847,61385925,61414698,61737270,61783689,62577873,62610416,62715609,63018919,63197770,63316604,63991196,64036028,64139395,64171164,64215979,64305259,64383499,64445045,64519580,64551715,64634727,64962858,64972778,65033347,65299514,65373425,65478320,65829319,65853088,65873480,65946067,66228739,66245251,66264188,66305866,66471115,66477018,66545736,66549434,66597787,66980874,66984898,67049445,67125691,67225365,67388707,67587970,67625827,67743399,68094634,68135420,68322378,68337139,68408986,68470759,68518915,68639371,68927395,69174668,69274459,69335515,69493674,69752012,69761265,69821587,69941180,69968599,70286395,70374279,70436718,70455777,70557715,70644379,70666759,70804651,70902024,71469418,71519408,71639624,71687756,71707056,72007496,72062978,72110919,72328458,72666012,72918667,73189299,73404327,73496750,73548380,73663110,73980885,74084724,74107665,74132186,74160859,74352919,74382739,74402839,74412016,74863953,75485384,75685594,75706219,75837324,76089319,76253386,76396099,76603827,76761559,76778828,76795219,76815399,76967274,77214247,77334054,77423496,77442365,77462058,78238138,78283927,78448110,78525307,78573984,78756115,78912944,78960619,79022395,79048176,79421515,79667239,79764777,79765338,80227329,80232026,80304451,80351395,80459334,80594577,80660611,80670438,80794227,80833532,81008433,81073418,81105564,81518539,81762504,81861836,82034499,82124419,82222698,82446536,82712874,83049125,83202618,83384011,83392915,83677984,83713518,83875925,83929416,84084339,84106570,84178280,84343674,84577315,84669258,84685771,84894151,84921057,85246028,85310947,85396040,85411399,85413946,85511324,85561339,85889515,86114227,86128220,86148631,86411066,86522818,86690227,87044179,87101433,87118599,87156545,87190844,87328315,87359971,88138138,88196100,88258056,88395732,88434199,88541258,88777062,88929198,89009107,89114439,89908556,89960167,89975786,90078466,90113386,90167707,90303139,90310664,90315596,90514327,90678765,90695559,90849139,91227715,91386979,91464691,91464746,91480040,91739417,91982817,92064350,92132395,92564906,92652519,92752353,92777395,92930838,93046807,93123177,93285020,93431011,93440611,93510859,93583771,93611036,94064395,94075840,94137732,94147579,94392967,94420593,94507338,94700565,94826874,95070620,95305818,95446857,95508725,95913307,95945925,96070545,96240776,96243115,96421674,96624698,96691827,96724016,96990331,97056379,97062476,97343624,97639527,97815370,97904828,97928899,98171978,98484067,98686088,98769639,99290313,99351706,99427207,99658950,99905239,...,3473726658658916585521965794738368043689132212070588054632309411451226972802364806087159547109743795359124280204929995180577113032425578183993303292778939506734667439727468130631414691607542583301580814879333932390569232068321729553784495352318322389738368545611394121311774087143453274452462823409304568343526552708245682059242010964057181534495305980527221800820894374532286282786750316921307194222995379541935425822651711705541946098163568030819947385837733324159051121840513820342310983062890467799304413131221891145019796714139486539621640138884187442059159973878025121269580957189879958796239376611123568561716789646983158581191623210868722853396005834027808363362124856909767164062491114944400710387984142656978313786921627676513585048486550074297224932048330557889191637149556239900605276876075618739651747773678833709972107015363335202954334884964847928945119019165131340776812725816186546329942023687264412391977459070209917325653996326284417414437979118241731392417809776839192516704432263519347451324301318451071133888804961876482373205624391650362416843222318941160847289451718742230608174273429491147615133829325483611859327854672409012402604293550878608134985225706022571188618473925300850530573467160942750891906913399258866946647743409599740073164531308057361190450913302019882424993851681267328492947017459638530298279049674620726069629605345263129596847137784851791669583642971195497437198915709892127665115035948451298331078291694519779828362150696027044430258101346169792674788930680849843348750072598153297817818717010332999927036121407043198346409799753813749959930687916061203596071043046963293016953007045052780051535002806576844727127442788188809149936552443136603128274908992006108709542537653314888111666545452175082101781836309187845511537337203596240059994995421419826980475707374789969644958561405254533885485137364792495611369072071406549792779021635484945487839793771718554251730478409690565871412688269320045540708334828549594312638787318306933185894688702652238067130719576930149743645163045680055939957904953316094704970767891632484961154930829296499406048310043378061102631695756971377573086012023424446851997524649391396108359599336720532450535118585902762125003032379176780694086584408748229193675831745027033569974932817550897886667867684757371713894480505058651087808158136726716930484981506185721034910807696215016420326385997751600973659538644162037025786157558306852256448969476141968915446024444101819278608607895567442566}
15510  2580677328005392207902052648588241605620857859355745658014856334: {201461,263381,340934,572501,665081,805636,867832,911609,976311,1034681,1096169,1162275,1239760,1268294,1280441,1363384,1394730,1453334,1487712,1495061,1533807,1673676,1678709,1953641,2106101,2277471,2288789,2319209,2711275,2744249,2774549,2925929,3016661,3228089,3253530,3295814,3409001,3470432,3559541,3649769,3679829,3830009,3837304,3873250,3904236,4028774,4099829,4137652,4219541,4309241,4316967,4458581,4576982,4578232,4647900,4726889,4816181,4874932,4957760,5113301,5150511,5291189,5318584,5487782,5577480,5646101,5734649,5882069,5949312,5983407,6176309,6274665,6323129,6528341,6551224,6692976,6730755,6762389,6879221,7179472,7199849,7298582,7370127,7529598,7536184,8076906,8098229,8415161,8478207,8530169,8557574,8759801,9131861,9217529,9388649,9508515,9531029,9559481,9639172,9786809,10126841,10142416,10521734,10747241,10876982,10915769,10971881,11084009,11168021,11335829,11391701,11410218,11587001,11726261,11744007,11821636,11920889,12115814,12142841,12184372,12502421,12557621,12690424,12833141,12888149,12915641,12996374,13409129,13415091,13667055,13791161,13872821,13913464,13993732,14063081,14198741,14276727,14388329,14578192,14746694,14793269,14801919,14927849,15169589,15330389,15357161,15623032,15652647,15677801,15731129,15890921,15970709,16110904,16156601,16400466,16655414,16685561,16781695,17000582,17001401,17394581,17438071,17551349,17575911,17942009,18124767,18142791,18330869,18375494,18511721,18664372,19021636,19059494,19109155,19256789,19333481,19777359,20021995,20045801,20081174,20096441,20121749,20138034,20248169,20424821,20500409,20576355,20776949,21002489,21152489,21218104,21551081,21948112,21978607,21997049,22219061,22224052,22342121,22366709,22444934,22587641,22636999,22710101,22866819,22930986,23100629,23332515,23398264,23544475,23649591,23730869,23782982,23870367,23936731,23973850,24026394,24043961,24116021,24123832,24188009,24523001,24536607,24546869,24614582,24689909,24691626,24888016,24911530,24951401,25046249,25400789,25416895,25589141,25772774,25911327,25937654,26011061,26106436,26244341,26323047,26708501,26870201,26985461,27009807,27139311,27146489,27578534,27627221,27743032,27809429,27917935,27999018,28036469,28149689,28154275,28230854,28253370,28285289,28307861,28465144,28488149,28602850,28645481,28764307,28768620,29048249,29426261,29427064,29528582,29757881,29846009,29893836,30043829,30136928,30175349,30306581,30500274,30656534,30686528,30741941,30806969,30893561,30936809,31153915,31210911,31281641,31344436,31346069,31398010,31581689,31617734,31645781,31881535,31965161,32023287,32067064,32177081,32240501,32282741,32338570,32372431,32556521,32586159,32849849,32975081,33025144,33058409,33105447,33120821,33473129,33493781,33501522,33740981,33743032,33782069,33785130,33840374,33904044,33998054,34150421,34195330,34323420,34455401,34456132,34475669,34522344,34698089,34778729,34879349,34970887,35120021,35229999,35259881,35478869,35558261,35587900,35878982,36037472,36075447,36090809,36149621,36309850,36539861,36541615,36611648,36656309,36830441,36860212,36905407,36966614,37016871,37119221,37153287,37176761,37234229,37253369,37384698,37520489,37677612,37710329,37748201,37800184,37880501,37960911,38257842,38336095,38368469,38514232,38554709,38647529,38806284,38814101,38837637,39053561,39090281,39218549,39273401,39473909,39582869,39655349,39778755,39908021,39926009,40033769,40105471,40178104,40187174,40284089,40310751,40355321,40408661,40508314,40542156,40709561,40793414,40801579,40832789,40999791,41034396,41095529,41176915,41188104,41287061,41701589,41753081,41770229,41940475,41964292,41998982,42023839,42026489,42216207,42280949,42298934,42365369,42382229,42430672,42516821,42525207,42634169,42705480,42734441,42934121,42977332,42983861,43066601,43231481,43328511,43460969,43509941,43571820,43651252,43672661,43688247,43769909,43849938,43915241,43963541,44235881,44331449,44436691,44442232,44442581,44530214,44663669,44677814,44757941,44838759,44854300,44914421,45101141,45150904,45194069,45200367,45331012,45409781,45455801,45517049,45545050,45552512,46003314,46092521,46137461,46145894,46182329,46197269,46242041,46246330,46330744,46336617,46476608,46582901,46773689,46861289,46977641,47164982,47194421,47208809,47295199,47580089,47721449,47734506,47876021,47918009,47979832,48001769,48043665,48182261,48336436,48457301,48470969,48539189,48593395,48671679,48678058,48778807,48809275,48823529,48863861,49037801,49038854,49157429,49223609,49302761,49412298,49434041,49590521,49610534,49655381,49694201,49938389,49958410,49996036,49997511,50318069,50328570,50455481,50492789,50505209,50542421,50579561,50641301,50678249,50794767,50799544,50934869,50983349,51246576,51318532,51331001,51402089,51413909,51452582,51822569,51971704,52006121,52040309,52122087,52232681,52277609,52286184,52286395,52434374,52599509,52610489,52676201,52722010,52828409,52968341,52989749,53125599,53187355,53191529,53365155,53369621,53376184,53379475,53442281,53504249,53555669,53596661,53639679,53657909,53683808,53799701,53825160,53977311,54273941,54341561,54360809,54589289,54626921,54654060,54673781,54683129,54717855,54739049,54765850,54784114,54785429,54794681,54822389,54923369,54926582,55059509,55068521,55082815,55361429,55413749,55495596,55594601,55662569,55713209,55721621,55746809,55888181,56019254,56083829,56091881,56282729,56368661,56399669,56507189,56552789,56562134,56575481,56620649,56628149,56687861,56783801,56848495,56922832,57149487,57188501,57209081,57222761,57237494,57293530,57310901,57331049,57363207,57364469,57371129,57413504,57443861,57509141,57621452,57637301,57639295,57652398,57718889,57774581,57811349,57869020,57931829,57937769,57942475,58025909,58054889,58089401,58106549,58129301,58174421,58191209,58227519,58230101,58287970,58297664,58312074,58365712,58439609,58468167,58486229,58506232,58516949,58571130,58680761,58733429,58752341,58761749,58821957,58943189,58969301,58971064,58982249,59003669,59007929,59033321,59155961,59187449,59210729,59233721,59282549,59289941,59304629,59344361,59355029,59379641,59427689,59487161,59519081,59525369,59544041,59565461,59633081,59683049,59738069,59824181,59846261,59852729,59871701,59881961,59950092,59960249,59975189,60008981,60025781,60034694,60047609,60048207,60051221,60074489,60083381,60096761,60096907,60101609,60102389,60106901,60108341,60110441,60113129,60116921,60127481,60132629,60134549,60135401,60138581,60140021,60394284,60553305,61395631,61465155,61732612,61825647,61993814,62039271,62449144,62475872,62510774,62579482,62684671,62693812,62743674,62896982,63006559,63084655,63266412,63824826,64038186,64055370,64174982,64290052,64590192,64920739,65110514,65451832,65562832,65584872,65661426,65719020,65819511,66049711,66064982,66099378,66342447,66603832,66935894,67306982,67564570,67745559,68218194,68325728,68752236,68900054,68935135,69048826,69142982,69167154,69174127,69318475,69349636,69438039,69442824,69530970,69684010,69905139,69945564,70100288,70255287,70285356,71117266,71540582,71542191,71895254,72140719,72339832,72366134,72663966,73025464,73068134,73218236,73438239,73482232,73633071,73633311,73655995,73758186,73782981,73856275,73880582,74166368,74203615,74456582,74694850,74721535,74929311,75200554,75256934,75508287,75701586,76345855,76866444,77225799,77581624,78123177,78263020,78489784,78862824,78942772,79021831,79145755,79803014,79850104,79988995,80045035,80160436,80213955,80303032,80649475,80981944,81077484,81382311,81405734,81616982,81847900,81886264,82142582,82153647,82316360,82341850,82378252,82456214,82667511,82722162,82830235,83182170,83437164,83492294,83620812,83945031,84210679,84478119,84513974,84633514,84716582,85096839,85169275,85175671,85421174,85561552,86179636,86350327,86468335,86617144,87005174,87190015,87279327,87395414,87426475,87686582,88201527,88301007,88387194,88617651,88627530,88636024,88720677,88727648,89044338,89307832,89399260,89549530,89569447,89609695,89633820,89665842,89782214,89831367,90009370,90324532,90340911,90434631,90711734,90832515,90987782,91096504,91104687,91615026,91898582,91935475,91993951,92122047,92348582,92605905,92658232,93015020,93648511,93757279,93832372,93915624,93941036,94112582,94356730,94372214,94536032,94796655,94959007,94974906,95397782,95609408,95973535,95986794,96054042,96147892,96256746,96437944,96779370,96888016,96897254,97060982,97182799,97444287,97459167,97585732,97629494,97872436,97949271,98031254,98217480,98429414,98641180,98779632,98810220,98823974,99025459,99396282,99458799,99715527,99818604,99824151,...,5210589987988374878282948692107552065533698318105882081948464117176840459203547209130739320664615693038686420307394992770865669548638367275989954939168409260102001159591202195947122037411313874952371222319000898585853848102482594330676743028477483584607552818417091181967661130715179911678694235113956852515289829062368523088863016446085772301742958970790832701231341561798429424180125475381960791334493069312903138733977567558312919147245352046229921078756599986238576682760770730513466474594335701698956619696832836717529695071209229809432460208326281163088739960817037681904371435784819938194359064916685352842575184470474737871787434816303084280094008751041712545043187285364650746093736672416601065581976213985467470680382441514770377572729825111445837398072495836833787455724334359850907915314113428109477621660518250564958160523045002804431502327447271893417678528747697011165219088724279819494913035530896618587966188605314875988480994489426626121656968677362597088626714665258788775056648395279021176986451977676606700833207442814723559808436587475543625264833478411741270934177578113345912261410144236721422700743988225417788991782008613518603906440326317912202477838559033856782927710887951275795860200741414126337860370098888300419971615114399610109746796962086041785676369953029823637490777521900992739420526189457795447418574511931089104444408017894694395270706677277687504375464456793246155798373564838191497672553922676947496617437541779669742543226044040566645387152019254689012183396021274765023125108897229946726728075515499499890554182110564797519614699630720624939896031874091805394106564570444939525429510567579170077302504209865267090691164182283213724904828664704904692412363488009163064313806479972332167499818178262623152672754463781768267306005805394360089992493132129740470713561062184954467437842107881800828227706047188743417053608107109824689168532453227418231759690657577831377595717614535848807119032403980068311062502242824391468958180977460399778842033053978357100696079365395224615467744568520083909936857429974142057456151837448727441732396243944749109072465065067091653947543635457066359629018035136670277996286974087094162539399005080798675802677878854143187504548568765171041129876613122343790513747617540550354962399226326346830001801527136057570841720757587976631712237205090075395727472259278581552366211544322524630489578996627401460489307966243055538679236337460278384673454214212953373169036666152728917912911843351163849}
15511  2592157252921717552255957334544767356866226860886432863514167694: {15511,511401,759353,1007045,1084790,1192961,1208454,1301748,1549700,1704230,1859640,1902441,1983616,2045076,2092095,2180001,2231568,2510514,3036628,3357641,4005953,4338040,4653761,4796630,4880295,4943721,5172065,5205648,5585753,5722790,5732321,5755956,5809875,5856354,6043161,6093665,6197200,6206478,6233201,6282038,6594161,6648230,6865473,6867348,6971850,7312398,7436640,7436741,7932416,7977876,8189030,8231673,8366220,8874614,8923968,8974340,9106529,9252854,9420230,9440561,9826836,9995558,10039464,10359569,10548494,10769208,10947873,11104121,11294397,11294681,11304276,11662118,11841713,12036329,12048965,12115359,12174281,12387881,12585254,12678020,12755918,12836361,13148801,13518158,13670153,13890449,14097041,14239121,14458758,14777045,15213624,15230465,15547073,15658676,15782601,15863030,15976334,16295894,16315473,17038022,17115327,17391830,17492165,17571353,17713121,17732454,17886788,18173721,18222740,18276558,18453809,18565841,19035636,19204598,19252433,19420661,19494561,19528790,19622969,19735892,20039822,20138630,20473481,20870196,20990598,21108353,21280454,21408881,21476081,21538694,21644081,21777014,21867288,22120041,23134913,23330465,23434548,23486969,23777045,24096974,24166356,24190388,24275153,24600699,24907001,24983121,25346561,25494689,25500873,25748681,25988582,26369812,26522630,26827553,26850712,26949641,27197801,27357941,27435140,27563241,27581198,27753713,27780065,27821078,27996558,28058681,28532454,28589241,28897001,29247830,29525153,29535329,29731013,30121761,30154790,30207051,30489092,30500129,30546254,30574648,31110020,31532788,31827156,31858193,32012801,32035192,32496761,32633045,32715476,32865734,32922168,33075161,33140678,33261254,33283601,33336078,33379118,33667401,33699953,34337321,34396479,34548436,34678790,34787141,35097396,35155841,35485769,35581430,35647313,35674473,35960775,36013076,36039591,36185748,36230414,36713942,36783830,36921873,37037439,37126838,37332024,37367295,37474481,37671160,37717049,38007281,38233529,38358160,38467649,38659161,38886953,38906481,39159654,39180545,39507041,39578513,39858448,40083830,40451609,40539401,40667032,41281430,41367801,41399318,41598101,41614548,41868878,41932241,41982353,41998527,42178790,42346281,42380055,42463769,42482201,42697716,42904275,43070165,43152930,43448212,44140596,44292873,44370281,44449601,44484875,44668696,44840754,44869481,45046840,45064721,45195254,45205392,45455813,45475241,45750411,45764560,45984801,46029792,46075265,46256681,46298054,46704161,46967822,46973332,47016654,47097015,47118101,47250230,47265761,47370521,47409713,47422598,47426601,47473913,48100596,48142790,48507855,48594053,49070753,49098761,49355828,49537716,49807478,49846264,49851449,50222630,50236816,50252283,50314022,50353553,50614548,50677695,50760561,50856066,50920181,50992241,50997081,51010456,51069998,51192953,51292995,51306761,51485130,51599681,51684198,51741712,51756854,51783516,51865574,52079513,52086182,52288841,52455365,52806521,52852694,53038340,53381850,53644721,53721665,53747668,53818473,54056208,54464775,54564065,54643001,54653441,54666388,54708758,54712528,54917472,55188053,55290318,55360241,55392209,55449921,55552790,55587701,56067875,56077047,56101433,56288276,56326094,56438630,56516418,56663765,56700276,56940640,57009398,57270353,57367478,57386763,57448901,57771348,57892361,57913430,58095760,58209426,58250996,58278353,58466584,59785012,59894918,59974790,60267156,60280761,60326222,60420545,60762471,60813234,61138421,61190121,61337752,61401041,61551594,61782156,62332289,62495045,62547278,62870321,62946438,62998473,63039449,63297353,63448401,63499430,63646008,63723041,63897281,64058220,64148165,64224341,64296953,64320014,64465998,64694753,64895572,64964630,65357730,65476878,65774907,65883064,66028838,66409313,66420341,66558518,66663348,66720230,66795321,66979022,67016721,67104760,67134449,67281450,67293158,67551593,67726356,67883921,67894409,67996518,68317575,68328768,68417894,68473781,68648309,68678561,68731013,69004971,69027353,69218841,69369495,69496116,69714912,69868841,69977753,70252454,70265153,70567382,70653713,70675961,70747473,70813889,70834132,70859201,70962254,71153540,71519572,71601759,71650481,71653553,71656853,71755049,71766880,71969748,71987633,72026815,72190001,72336275,72412913,72504654,72684329,72729569,72872080,72884654,72957140,73017087,73129361,73132790,73558281,73713830,73994128,74118447,74139281,74362601,74415801,74866358,74937615,74994054,75492855,75790001,76199316,76263374,76457102,76484276,76869864,76925222,76977798,77100278,77165765,77178873,77556521,77636692,77749432,77936261,77957556,78061430,78094840,78144353,78361478,78367265,78429276,78651561,78970901,79083015,79260953,79275401,79448342,79709441,79908854,79933456,80064276,80231822,80362565,80369153,80424641,80525712,80737740,80916854,81075953,81814790,81953540,81981090,82091441,82148775,82176171,82389873,82434196,82516421,82719028,83243394,83254790,83394869,83658232,84028881,84355216,84383201,84612833,84613094,84777014,84843201,84953318,85099768,85384248,85407160,85422521,85572533,85842689,85856241,85940295,86120256,86159849,86172614,86432178,86478597,86544758,86687045,86803530,87371369,87431955,87446496,87468111,87548568,87625360,87759348,87856695,88132504,88309334,88456596,88476878,88575353,88671173,89727278,89795153,89925138,90052041,90106358,90117638,90223063,90314921,90327412,90372401,90424790,90526169,90591426,90783374,90957592,91253201,91281830,91462121,91522795,91621433,91669648,91852790,91862198,92222872,92463254,92584052,92590432,92598918,92707960,92990721,93059561,93194918,93206852,93260752,93275873,93443249,93673716,93713808,93766161,93769049,93869223,94040718,94071494,94115511,94345473,94565189,94581953,94623158,94716281,94839929,94847561,94899618,95347529,95389588,95404838,95737239,95882261,95926481,96057279,96083055,96262473,96290774,96435078,96498353,96729398,96885288,96977030,97069721,97665771,97828775,97917652,98112230,98148833,98177428,98177748,98344248,98377308,98400953,98492139,98569781,98578530,98678465,98679953,98780801,99097473,99149067,99722453,99812630,99874529,99905748,...,6947453317317833171043931589476736087378264424141176109264618822902453945604729612174319094219487590718248560409859990361154226064851156367986606585557879013469334879454936261262829383215085166603161629758667864781138464136643459107568990704636644779476737091222788242623548174286906548904925646818609136687053105416491364118484021928114363068990611961054443601641788749064572565573500633842614388445990759083870851645303423411083892196327136061639894771675466648318102243681027640684621966125780935598608826262443782290039593428278973079243280277768374884118319947756050242539161914379759917592478753222247137123433579293966317162383246421737445706792011668055616726724249713819534328124982229888801420775968285313956627573843255353027170096973100148594449864096661115778383274299112479801210553752151237479303495547357667419944214030726670405908669769929695857890238038330262681553625451632373092659884047374528824783954918140419834651307992652568834828875958236483462784835619553678385033408864527038694902648602636902142267777609923752964746411248783300724833686444637882321694578903437484461216348546858982295230267658650967223718655709344818024805208587101757216269970451412045142377236947850601701061146934321885501783813826798517733893295486819199480146329062616114722380901826604039764849987703362534656985894034919277060596558099349241452139259210690526259193694275569703583339167285942390994874397831419784255330230071896902596662156583389039559656724301392054088860516202692339585349577861361699686697500145196306595635637434020665999854072242814086396692819599507627499919861375832122407192142086093926586033906014090105560103070005613153689454254885576377618299873104886273206256549817984012217419085075306629776223333090904350164203563672618375691023074674407192480119989990842839653960951414749579939289917122810509067770970274729584991222738144142813099585558043270969890975679587543437108503460956819381131742825376538640091081416669657099188625277574636613866371789377405304476134261439153860299487290326091360111879915809906632189409941535783264969922309861658592998812096620086756122205263391513942755146172024046848893703995049298782792216719198673441064901070237171805524250006064758353561388173168817496458387351663490054067139949865635101795773335735369514743427788961010117302175616316273453433860969963012371442069821615392430032840652771995503201947319077288324074051572315116613704512897938952283937830892048888203638557217215791134885132}
15512  2603687841379379195687217657374225335307280158310433888242802776: {294367,402922,526762,681868,942511,1127047,1145002,1330162,1611272,1627185,1735664,1812681,1823218,1937125,1952622,2069362,2136847,2192338,2319511,2324550,2479520,2501887,2536588,2556345,2560882,2726768,2774911,2789460,2906668,2956567,2975424,2990122,3047287,3067614,3347352,3357418,3409447,3680311,3765771,3795785,3907282,4130311,4212202,4554942,4577578,4638418,4757287,5422550,5488498,5549098,5646847,5851858,6033322,6353311,6456178,6507060,6591628,6617047,6818002,6940864,7119082,7194945,7299538,7359658,7491487,7660018,7674608,7746500,7808472,8057548,8199658,8275304,8439082,8584185,8618482,8633934,8784531,8917162,9153964,9156464,9295800,9309717,9423057,9453778,9560767,9632362,9749864,9816511,9915520,9972345,10226602,10241311,10301022,10457775,10582378,10637168,10833007,10968597,10975564,11154960,11217925,11292202,11469298,11764138,11898624,11966814,12172207,12283545,12352618,12549330,12586927,12646258,12917407,13056682,13102448,13311921,13385952,13410967,13461510,13524778,13758442,13879281,14130345,14358944,14399698,14597164,14633527,14740254,14956807,14993337,15059196,15072368,15198511,15359287,15759967,15822741,15847525,16153812,16158847,16196458,16793311,16830322,16956414,17060338,17115148,17493177,17519602,17579911,18263722,18359311,18435058,18777298,18877881,19017030,19062058,19118962,19133877,19278344,19573345,19573618,20124607,20253682,20277237,20284832,20805007,21043468,21494482,21628687,21688137,21753964,21831538,21943762,22000207,22168018,22336042,22358485,22369927,22671658,22778425,22783402,22820436,23174002,23452522,23488014,23494373,23643272,23758447,23794545,23841778,23964501,24119527,24231628,24285682,24368744,24443841,24478807,24550447,24669865,24693511,25004842,25049911,25115242,25380848,25557033,25616407,25666282,25776298,25831282,25992748,26087745,26598681,26752817,26818258,26830182,27012487,27334110,27414837,27582322,27745642,27826928,27987464,28030793,28126162,28312087,28397482,28514911,28553454,28776658,28806897,29156384,29293185,29319727,29493388,29519311,29586538,29603838,29855698,30059733,30207945,30237985,30311167,30339178,30660778,30714322,30833311,31246064,31305294,31355602,31462258,31485897,31781842,31827961,31920681,31941418,32221808,32308041,32313202,32561527,32665521,32800932,32938447,32962265,33310828,33371122,33498967,33563390,33994181,34001164,34002802,34176127,34293925,34298311,34420207,34481047,34723687,34789162,34876142,34904911,35085487,35102698,35151822,35504311,35583653,35884018,36145461,36249534,36285582,36661738,36750988,37023442,37259311,37328744,37545511,38043272,38111365,38112511,38118988,38218310,38281207,38513578,38666962,38672311,38887525,38982873,39085109,39114967,39415985,39554718,39783945,39932527,40040311,40043990,40091602,40162348,40192882,40243498,40276068,40308511,40496338,40849642,40894345,41000818,41152710,41371797,41553898,41725687,41731617,41777167,41994837,42004978,42304978,42389311,42436208,42540727,42641311,42798681,43044661,43102162,43185545,43484647,43615481,43631311,43871745,43896224,43957214,43971007,43994098,44259367,44438122,44448104,44450167,44634149,44684242,44687047,44733418,44889868,45016345,45175282,45232185,45273998,45420202,45432967,45733638,45819381,45861972,46201258,46205311,46665030,46796528,47000407,47088950,47217127,47299182,47461738,47517511,47565964,47740734,47873462,47940511,47947700,48024247,48052788,48087922,48232042,48247664,48376018,48479647,48643087,49046002,49073214,49093738,49166311,49169593,49229164,49298601,49379818,49383252,49664537,49677367,49711017,49776032,49823060,49891881,49902802,50004117,50068677,50092498,50214127,50327311,50514511,50801578,50833790,50956447,51158261,51173527,51178282,51316807,51352447,51423511,51545548,51774511,51822654,51875308,52018185,52022122,52212872,52488682,52554487,52620511,52646094,52881727,53170087,53372145,53417002,53514607,53668327,53670533,53740402,53970922,54019614,54252649,54278622,54292978,54310265,54345621,54665887,54693967,54805567,55070913,55079527,55157068,55175745,55254442,55346287,55424911,55486064,55618858,55682311,55690257,55732927,55835870,55858207,55932511,55998036,56072938,56103367,56247007,56294311,56299378,56308550,56461708,56506740,56526511,56570578,56594767,56615722,56639911,56930288,56976298,57205700,57290962,57323047,57343207,57383311,57482311,57528614,57537240,57617887,57647681,57823807,57950311,58096498,58209511,58259407,58373311,58499167,58716665,58739481,58751311,58852522,58854128,58862767,58982647,59021311,59057164,59059327,59109007,59204911,59228167,59285047,59372311,59393407,59504287,59515762,59570311,59683567,59692018,59787672,59799127,59867167,59892367,59966311,59976607,59991511,60036511,60067327,60087658,60112687,60117511,60125745,60141847,60154447,60155527,60273856,60350698,60613162,61000548,61313068,61373056,61483882,61613938,61694785,61787122,61873618,61922145,62098977,62307830,62421822,62563282,62688872,62692138,62796020,62803317,63163378,63235468,63268185,63291562,63763070,63930322,64046574,64134128,64354162,64481002,64565482,64677140,64729395,64744862,65113042,65172318,65699698,65950162,66050288,66116818,66210894,66241642,66297925,66497761,66946258,66987562,67003044,67184585,67261131,67481962,67486064,67564138,67570260,67680748,67792881,67808088,67996108,68030753,68300842,68332985,68390660,68646840,68910802,68912264,68951338,69044688,69396178,69447081,69557458,69758698,69941774,70240042,70360345,70451733,70459998,70519762,70524981,70875345,70957738,71116522,71133897,71175800,71757964,72074944,72150894,72181618,72214185,72299242,72558473,72619700,72813745,73079722,73083230,73200953,73223296,73312618,73660882,73720424,73810814,73933228,74033742,74238442,74306574,74353522,74462297,74468458,74506738,74711217,74731265,74769396,75040978,75333945,75355224,75420658,75471033,75496402,75600368,75761002,75921822,75959893,76284099,76515684,76604997,76672190,76736938,77028464,77109418,77115941,77227695,77295058,77526297,77612568,77628202,77635281,77675274,77798361,78107122,78129273,78180562,78437098,78546802,78947818,79165738,79279041,79310698,79557510,79587893,79816042,79852018,80067538,80072775,80210942,80356208,80374348,80568178,80621502,80695013,80710642,80817322,81016628,81084312,81119465,81419122,81586828,81603158,81665578,81751241,81999582,82063137,82068792,82191058,82353830,82376208,82574122,82935477,83329185,83403178,83506162,83540458,83880950,83928584,83997964,84047678,84052978,84432414,84489141,84561898,84597868,84657945,84730738,84764458,84774627,84861344,85033642,85050414,85268338,85410960,85468882,85514097,85868242,85954664,85967722,86051217,86133202,86462962,86657022,86870145,86921938,87019882,87143640,87302504,87314139,87345322,87376494,87539818,87699876,87824341,87830482,87927082,88318517,88471762,88542665,88662898,88873382,88884464,88885162,88941925,89060428,89327338,89355628,89399465,89515882,89677518,89708600,89828842,89842377,89962185,90202282,90301808,90388138,90400734,90489333,90662024,90819562,90911602,91034098,91090100,91105024,91196425,91219851,92006628,92185042,92274922,92291788,92327391,92364658,92394538,92484082,92492660,92661488,92673234,92953216,93165802,93547378,93722578,93820917,93955282,94329964,94388842,94417618,94419657,94590398,95160178,95249145,95442898,95469012,95605345,95752042,95836018,95959664,96003538,96087330,96364522,96480021,96509189,96672872,96698997,96914602,96941938,97045865,97078378,97186790,97343358,97356116,97446945,97557614,97618550,97647058,97727722,98036595,98075602,98077708,98215317,98314858,98447218,98605522,98824596,98868082,99043257,99181042,99221068,99310762,99388402,99837777,99876778,99916820,99992072,99995022,...,10421179975976749756565897384215104131067396636211764163896928234353680918407094418261478641329231386077372840614789985541731339097276734551979909878336818520204002319182404391894244074822627749904742444638001797171707696204965188661353486056954967169215105636834182363935322261430359823357388470227913705030579658124737046177726032892171544603485917941581665402462683123596858848360250950763921582668986138625806277467955135116625838294490704092459842157513199972477153365521541461026932949188671403397913239393665673435059390142418459618864920416652562326177479921634075363808742871569639876388718129833370705685150368940949475743574869632606168560188017502083425090086374570729301492187473344833202131163952427970934941360764883029540755145459650222891674796144991673667574911448668719701815830628226856218955243321036501129916321046090005608863004654894543786835357057495394022330438177448559638989826071061793237175932377210629751976961988978853252243313937354725194177253429330517577550113296790558042353972903955353213401666414885629447119616873174951087250529666956823482541868355156226691824522820288473442845401487976450835577983564017227037207812880652635824404955677118067713565855421775902551591720401482828252675720740197776600839943230228799220219493593924172083571352739906059647274981555043801985478841052378915590894837149023862178208888816035789388790541413354555375008750928913586492311596747129676382995345107845353894993234875083559339485086452088081133290774304038509378024366792042549530046250217794459893453456151030998999781108364221129595039229399261441249879792063748183610788213129140889879050859021135158340154605008419730534181382328364566427449809657329409809384824726976018326128627612959944664334999636356525246305345508927563536534612011610788720179984986264259480941427122124369908934875684215763601656455412094377486834107216214219649378337064906454836463519381315155662755191435229071697614238064807960136622125004485648782937916361954920799557684066107956714201392158730790449230935489137040167819873714859948284114912303674897454883464792487889498218144930130134183307895087270914132719258036070273340555992573948174188325078798010161597351605355757708286375009097137530342082259753226244687581027495235081100709924798452652693660003603054272115141683441515175953263424474410180150791454944518557163104732423088645049260979157993254802920978615932486111077358472674920556769346908428425906746338073332305457835825823686702327698}
15513  2615269315197717150812726866326771096443550008637108977523912013: {31022,604383,790143,852335,1022802,1409863,1518706,1717503,1995243,2014090,2169580,2385922,2416908,2603496,2734827,2928933,3099400,3104043,3170735,3288507,3408460,3486825,3633335,3719280,3804882,3841323,3967232,4090152,4184190,4360002,4463136,4485183,4601421,4935887,5021028,5036127,5860923,6049943,6073256,6318303,6715282,6832413,6866367,6957627,6972911,7240891,7625231,8011906,8133825,8182043,8232747,8239535,8323647,8531131,8676080,8777787,9049983,9307522,9593260,9683125,9684267,9760590,9887442,10022507,10071935,10227003,10312487,10344130,10411296,10678623,10949307,11039487,11171506,11442455,11445580,11464642,11490027,11511912,11619750,11712708,12086322,12187330,12243127,12299487,12394400,12412956,12466402,12564076,12623467,12658623,12927723,12950901,13188322,13296460,13375743,13719455,13730946,13734696,13914143,13943700,14180667,14448543,14624796,14640223,14848411,14873280,14873482,15089327,15339903,15451533,15864832,15873567,15955752,16378060,16463346,16693883,16732440,16868551,16938303,17110511,17203947,17646207,17749228,17847936,17948680,17950221,18213058,18246455,18361727,18505708,18528927,18823995,18840460,18881122,18969387,19585023,19638571,19653672,19991116,20078928,20192265,20287167,20580187,20637663,20687863,20719138,21096988,21135991,21322651,21393935,21538416,21599547,21747743,21809047,21895746,22110381,22208242,22588794,22589362,22608552,23324236,23683426,24072658,24097930,24230718,24294687,24348562,24489031,24775762,25170508,25245483,25356040,25380823,25434621,25511836,25590507,25672722,26279403,26297602,26304335,27036316,27192455,27340306,27395583,27652587,27757327,27780898,28165947,28194082,28478242,28524523,28525545,28593087,28678443,28917516,29171087,29360427,29550743,29554090,30120187,30130087,30289535,30380523,30427248,30460930,31094146,31317352,31525847,31565202,31726060,31735367,31952668,32241723,32490935,32591788,32630946,32662651,32747307,32915643,33252027,33287863,33504063,34007487,34076044,34175103,34230654,34761003,34783660,34984330,35142706,35178783,35232021,35426242,35464908,35762667,35771111,35773576,36045607,36347442,36428523,36445480,36553116,36866735,36907618,37070207,37131682,37284047,37507263,37672863,37857563,38071272,38393783,38405263,38409196,38499423,38504866,38664447,38746923,38841322,38892091,38989122,39057580,39134447,39245938,39471784,39964823,40079644,40126427,40227387,40245273,40277260,40946962,41001165,41373483,41618463,41638535,41740392,41937727,41981196,42189243,42216706,42501455,42560908,42596223,42817762,42830181,42952162,43077388,43164987,43288162,43519031,43554028,43734576,44240082,44288023,44379807,44405757,44783547,44832311,45056807,45074447,45461767,45508767,45686263,45938735,45991167,46071483,46269826,46276667,46660930,46869096,46957941,46973938,47033403,47193387,47480107,47554090,47648735,47672763,47714831,47806447,47912127,48158927,48193948,48332712,48380776,48469803,48550306,49201398,49814002,49966242,50056683,50202935,50345085,50693122,50989378,51001746,51004203,51236351,51497362,51945367,51977164,52183743,52283227,52314213,52654047,52661407,52727733,52739624,53045260,53655106,53701424,53826027,53899282,54374301,54395602,54428373,54715882,54852763,54870280,54992607,55126482,55162396,55507426,55535163,55560130,55642156,55983343,55993116,56112335,56117362,56132567,57064908,57178482,57269911,57327465,57770367,57794002,58000443,58495660,58586503,58823567,58923071,59050306,59070658,59332077,59457455,59462026,59934625,60009083,60065985,60137403,60243522,60289323,60298231,60309580,60365247,60414102,60456743,60635263,60744507,60978184,61000258,61092508,61149296,61274463,61501227,61536455,61729065,61795903,62220040,62278825,62330847,63007467,63065576,63457467,63654312,63716386,64025602,64070384,64120783,64321991,64431935,64439387,64505371,64653243,64703227,64844135,64993522,65266090,65430952,65731468,65844336,65935821,65991147,66150322,66281356,66522508,66567202,66610511,66657183,66672156,66758236,67026363,67100127,67208507,67334802,67399906,67643423,67762923,67910997,68106743,68130303,68600457,68674642,68792958,68946335,69096872,69301887,69357580,69517547,69574282,69633071,69997545,70194792,70311682,70577135,70633425,70948773,70971538,71158247,71162860,71192607,71294626,71348946,71507125,71611101,71764411,71810193,71921550,71997007,72026152,72079182,72124951,72131883,72348063,72371496,72460828,72564027,73427884,73437511,73567660,73569003,73609821,73640607,73821455,73843746,74069727,74074878,74082487,74253676,74346767,74501167,74664048,74734590,74854203,74948962,75138747,75189343,75210331,75342320,75434098,76014562,76202367,76250685,76389691,76467058,76641335,76716320,76767423,76935298,77240411,77318322,77406907,77733981,77773906,77812962,78033183,78319308,78361090,78495025,78733023,78969141,79014082,79044335,79157026,79329271,79688123,79716896,80087071,80125503,80167660,80238847,80610603,80846425,80903218,80956383,81029421,81078802,81334064,81417933,81439467,82216727,82562860,82735602,82798636,82881663,83196202,83229096,83428287,83737756,83753805,83864482,83964706,83997054,84109407,84357580,84449067,84462825,84588763,84600935,84692562,84760110,84855867,84923583,84927538,84964402,84995135,85395432,85464447,85488325,85808550,85936443,85953127,86140330,86292921,86305860,86896424,87144747,87334631,87493063,88278783,88281192,88585746,88585771,88586887,88740562,88899202,88969750,88988071,89273643,89337392,89363951,89538027,89681508,89697455,89738962,89807431,90042263,90093680,90129442,90131487,90390508,90410784,90510587,90526047,90774625,90911626,90919743,90950482,91474087,91500822,91529120,91633387,91969602,92059584,92108123,92150530,92225823,92352703,92381111,92416535,92420907,92513362,92517227,92596108,92680683,92810427,93408322,93461745,93632733,93844923,93935644,93946664,94033308,94038207,94194030,94236202,94500460,94531522,94741042,94745067,94819426,94845196,94853202,94937343,94947826,95047303,95644605,95895483,96069861,96201192,96285580,96437767,96531243,96721503,96848223,97015710,97117293,97188106,97669563,97758477,98141506,98197522,98549547,98703431,98711656,98925243,99075432,99175227,99316341,99362463,99466267,99614956,99692528,99702898,99753151,99887611,99902591,...,15631769963965124634848846076322656196601094954317646245845392351530521377610641627392217961993847079116059260922184978312597008645915101827969864817505227780306003478773606587841366112233941624857113666957002695757561544307447782992030229085432450753822658455251273545902983392145539735036082705341870557545869487187105569266589049338257316905228876912372498103694024685395288272540376426145882374003479207938709416201932702674938757441736056138689763236269799958715730048282312191540399423783007105096869859090498510152589085213627689428297380624978843489266219882451113045713114307354459814583077194750056058527725553411424213615362304448909252840282026253125137635129561856093952238281210017249803196745928641956402412041147324544311132718189475334337512194217487510501362367173003079552723745942340284328432864981554751694874481569135008413294506982341815680253035586243091033495657266172839458484739106592689855763898565815944627965442983468279878364970906032087791265880143995776366325169945185837063530959355933029820102499622328444170679425309762426630875794500435235223812802532734340037736784230432710164268102231964676253366975346025840555811719320978953736607433515677101570348783132663853827387580602224242379013581110296664901259914845343198830329240390886258125357029109859089470912472332565702978218261578568373386342255723535793267313333224053684083185812120031833062513126393370379738467395120694514574493017661768030842489852312625339009227629678132121699936161456057764067036550188063824295069375326691689840180184226546498499671662546331694392558844098892161874819688095622275416182319693711334818576288531702737510231907512629595801272073492546849641174714485994114714077237090464027489192941419439916996502499454534787869458018263391345304801918017416183080269977479396389221412140683186554863402313526323645402484683118141566230251160824321329474067505597359682254695279071972733494132787152843607546421357097211940204933187506728473174406874542932381199336526099161935071302088238096185673846403233705560251729810572289922426172368455512346182325197188731834247327217395195201274961842630906371199078887054105410010833988860922261282487618197015242396027408033636562429562513645706295513123389629839367031371541242852621651064887197678979040490005404581408172712525162272763929895136711615270226187182416777835744657098634632967573891468736989882204381467923898729166616037709012380835154020362642638860119507109998458186753738735530053491547}
15514  2626901897159561046090302979141548929268817349057292555699296728: {46533,263449,588734,634393,726949,805844,819433,1053524,1096453,1363736,1534203,1556713,1740313,1885022,2015173,2106649,2254094,2278059,2290004,2660324,2711975,3021135,3222544,3254370,3470149,3471328,3578883,3625362,3646436,3831013,3874250,3905244,4138724,4260575,4273694,4280473,4384676,4639022,4649100,4959040,5003774,5073176,5112690,5121764,5314099,5351833,5453536,5549822,5578920,5707323,5795173,5813336,5913134,5950848,5980244,6094574,6135228,6276285,6500773,6540003,6694704,6714836,6818894,6939433,7360622,7531542,7591570,7814564,8260622,8331049,8417413,8424404,9109884,9155156,9191449,9276836,9514574,9618949,10072923,10129573,10383913,10845100,10974853,10976996,11098196,11227033,11293694,11394793,11703716,11729449,11991575,12017859,12066644,12561049,12706622,12891673,12912356,12974149,13014120,13183256,13234094,13636004,13876633,13881728,13961283,14121253,14202649,14238164,14306975,14389890,14599076,14640885,14719316,14831163,14982974,15320036,15349216,15493000,15516195,15616944,15705095,15735493,15895333,16115096,16399316,16550608,16620575,16757259,16878164,17006149,17084953,17168370,17196963,17236964,17267868,17429625,17569062,17834324,18129483,18280995,18307928,18312928,18568549,18591600,18619434,18699603,18846114,18907556,19121534,19262233,19264724,19499728,19633022,19782483,19831040,19944690,20102149,20178073,20453204,20472575,20482622,20596419,20602044,20782873,20915550,21164756,21274336,21666014,21937194,21951128,22052773,22186535,22274713,22309920,22310223,22348549,22422313,22435850,22584404,22716649,22938596,23132135,23528276,23550575,23797248,23882473,23933628,24344414,24567090,24695019,24705236,24958693,24988895,25098660,25173854,25292516,25834814,25878313,26113364,26204896,26371235,26623842,26771904,26821934,26923020,27049556,27319587,27338149,27402683,27516884,27749413,27758562,28260690,28321683,28717888,28799396,29155295,29194328,29267054,29480508,29913614,29986674,30096793,30118392,30144736,30359449,30397022,30718574,30946213,31078707,31301879,31398553,31463135,31519934,31591333,31645482,31695050,31889795,32292649,32307624,32317694,32392916,32843619,32859973,33312363,33483493,33586622,33660644,33792553,33795395,33883191,33884043,33912828,34120676,34230296,34526953,34537811,34986354,35039204,35159822,35525139,35572427,35609113,36023653,36108987,36146895,36200233,36346077,36522843,36527444,36609733,36718622,36870116,37163643,37554596,37614863,37646533,37755762,37760293,37930393,38034060,38124116,38237924,38267754,38509083,38556688,38826649,39102949,39146690,39147236,39322693,39446403,39657575,39867013,39940835,40249214,40507364,40554474,40569664,40739735,40934053,41010459,41248549,41300713,41610014,41671347,42086936,42278149,42291123,42328873,42333179,42595055,42717363,42732073,42988964,43031449,43257374,43376274,43479575,43507928,43663076,43719913,43887524,44000414,44331135,44336036,44489449,44672084,44716970,44739854,44773273,45147673,45343316,45425449,45556850,45566804,45640872,45691395,46147171,46348004,46641219,46731493,46905044,46976028,46988746,47286544,47347803,47516894,47589090,47683556,47808793,47893033,47929002,48011495,48018853,48239054,48463256,48474649,48571364,48737488,48821975,48881449,48887682,48946419,48957614,49042153,49100894,49281049,49339730,49387022,50009684,50099555,50099822,50230484,50346575,50761696,50870963,51026473,51114066,51232814,51332564,51345981,51552596,51662564,51985496,52175490,52476495,52714059,52848613,53010073,53042149,53139363,53197362,53201135,53355911,53483653,53505634,53636516,53660364,53846735,53941033,54024974,54148933,54295273,54382213,54442535,54521163,54525673,54668220,54829674,54954251,54972649,55108549,55164644,55182379,55361427,55401193,55479493,55491284,55653856,55697523,55761049,55974928,55984933,56061586,56252324,56624174,56794964,56822149,57016873,57029822,57106908,57246949,57252083,57267433,57428713,57553316,57566053,57613794,57661993,57756133,57757299,57811753,57921049,57994211,58010149,58080133,58109519,58199833,58261983,58312768,58483683,58522393,58586370,58639454,58716613,58745413,58788073,58868907,58952233,58986776,59038622,59173076,59179033,59207676,59317273,59465449,59553253,59562649,59599513,59617513,59711396,59774149,59803813,59946373,60066073,60119466,60138649,60148549,60163993,60166693,60171049,60242435,60415890,60459763,60475970,60622334,60678356,61321556,61420443,61428644,61666622,62492128,62610588,62711204,62924516,62971794,63022883,63325059,63563684,63655922,63841362,63882836,64116767,64226643,64428243,64443616,64616082,64626404,64932243,64971455,65123054,65331042,65601864,65876894,65924530,66306575,66360123,66621656,66742244,66997934,67126780,67988362,68002328,68005604,68352254,68587850,68596622,68840414,68952995,68962094,69404739,69447374,69552695,69578324,69752284,69809822,69991395,70170974,70205396,70303644,70460907,71008622,71167306,71331135,71768036,72290922,72499068,72571164,72825459,73119575,73323476,73501976,73802097,74046884,74321027,74518622,74657488,74721003,74949363,75091022,75386975,76034371,76039683,76086544,76222730,76225022,76237976,76365635,76436620,76484067,76502619,76562414,76652411,77027156,77246043,77333924,77344622,77775050,77965746,78170218,78229934,78588263,78831970,79109436,79567890,79865054,80080622,80087980,80183204,80324696,80385764,80482659,80486996,80552136,80617022,80848923,80992676,81593403,81699284,81788690,82001636,82073823,82164335,82203331,82305420,82689723,82743594,82851695,83107796,83153135,83261139,83340195,83447795,83451374,83463234,83554334,83989674,84009956,84176043,84609956,84778622,84872416,84896351,85081454,85282622,85597362,85767723,86089322,86204324,86371090,86372699,86691003,86696975,86969294,87230962,87262622,87743490,87792448,87914428,87942014,87988196,88518734,88575459,88605987,88876244,88896208,88900334,88953575,89193039,89268298,89368484,89374094,89466836,89779736,90032690,90350564,90365283,90464370,90547996,90576035,90621153,90840404,90865934,91467276,91500387,91638762,91723944,91784855,91959575,92402516,92410622,92817095,93330060,93593056,94000814,94058419,94177900,94434254,94598364,94923476,95035022,95131928,95481468,95574579,95666179,95746924,95881022,95895400,96038403,96048494,96105576,96175844,96464084,96495328,96615103,96752036,96959294,97286174,97490283,97899135,98092004,98146428,98187476,98332622,98339186,98458328,98504483,98597202,98759636,98766504,99010307,99225483,99329074,99354734,99422034,99552064,99646120,99783762,99805604,99850803,...,20842359951953499513131794768430208262134793272423528327793856468707361836814188836522957282658462772154745681229579971083462678194553469103959819756673637040408004638364808783788488149645255499809484889276003594343415392409930377322706972113909934338430211273668364727870644522860719646714776940455827410061159316249474092355452065784343089206971835883163330804925366247193717696720501901527843165337972277251612554935910270233251676588981408184919684315026399944954306731043082922053865898377342806795826478787331346870118780284836919237729840833305124652354959843268150727617485743139279752777436259666741411370300737881898951487149739265212337120376035004166850180172749141458602984374946689666404262327904855941869882721529766059081510290919300445783349592289983347335149822897337439403631661256453712437910486642073002259832642092180011217726009309789087573670714114990788044660876354897119277979652142123586474351864754421259503953923977957706504486627874709450388354506858661035155100226593581116084707945807910706426803332829771258894239233746349902174501059333913646965083736710312453383649045640576946885690802975952901671155967128034454074415625761305271648809911354236135427131710843551805103183440802965656505351441480395553201679886460457598440438987187848344167142705479812119294549963110087603970957682104757831181789674298047724356417777632071578777581082826709110750017501857827172984623193494259352765990690215690707789986469750167118678970172904176162266581548608077018756048733584085099060092500435588919786906912302061997999562216728442259190078458798522882499759584127496367221576426258281779758101718042270316680309210016839461068362764656729132854899619314658819618769649453952036652257255225919889328669999272713050492610691017855127073069224023221577440359969972528518961882854244248739817869751368431527203312910824188754973668214432428439298756674129812909672927038762630311325510382870458143395228476129615920273244250008971297565875832723909841599115368132215913428402784317461580898461870978274080335639747429719896568229824607349794909766929584975778996436289860260268366615790174541828265438516072140546681111985147896348376650157596020323194703210711515416572750018194275060684164519506452489375162054990470162201419849596905305387320007206108544230283366883030351906526848948820360301582909889037114326209464846177290098521958315986509605841957231864972222154716945349841113538693816856851813492676146664610915671651647373404655396}
15515  2638585811015381912266958178477158125846518939924394569137881016: {62044,883101,1007305,1193269,1208766,1316905,1580286,1704670,1874653,2045604,2819726,2827533,2862505,3037412,3325405,3381141,3435006,3990486,4028180,4339160,4439029,4558045,4771844,4833816,4881555,5086669,5173405,5206992,5276293,5438043,5469654,5480845,5811375,5833321,5857866,6198800,6208086,6295069,6341470,6402205,6410541,6577014,6761701,6816920,6958533,6973650,7266670,7313053,7438560,7475305,7505661,7609764,7669035,7682646,7934464,8151109,8180304,8240713,8324733,8368380,8393545,8522317,8720004,8869701,8926272,8970366,9007933,9141861,9202842,9724969,9768205,9871774,10042056,10072254,10228341,10362253,10530505,11023693,11040933,11297313,11387355,11443945,11535349,11596045,11721846,11844781,12099886,12146512,12345349,12390933,12636606,13430564,13556375,13664826,13721245,13732734,13872745,13915254,13945822,14100709,14271861,14481782,14570293,14629645,15083305,15250462,15485317,15551101,16019437,16023812,16140445,16267650,16364086,16465494,16479070,16647294,16940541,17045005,17062262,17352160,17449333,17555574,17797705,17832841,18099966,18248845,18399145,18615044,18620389,18820141,19059933,19131013,19150045,19186520,19207237,19257421,19366250,19368534,19521180,19628053,19774884,19851141,20045014,20143870,20221513,20454006,20499145,20624974,20688260,20822592,21043357,21097705,21357246,21481669,21546205,21584835,21898614,22078974,22152493,22292905,22343012,22474461,22884910,22891160,22929284,22980054,23023824,23239500,23425416,23634445,24080905,24172644,24306301,24374660,24486254,24598974,24788800,24825912,24932804,25128152,25246934,25317246,25396249,25545037,25566505,25752555,25855446,25901802,26353593,26376644,26395597,26455945,26592920,26751486,27438910,27461892,27469392,27828286,27887400,27929151,27996229,28005421,28230505,28269171,28361334,28673245,28682301,28897086,29174893,29249592,29280446,29410345,29449533,29696822,29727829,29746560,29746964,29917035,29951509,30178654,30679806,30723933,30881545,30903066,31373325,31615645,31729664,31747134,31911504,32172613,32499021,32629321,32641705,32756120,32905791,32926692,33027301,33170269,33387766,33464880,33653775,33737102,33811945,33876606,33924013,34221022,34396105,34407894,34474921,35292414,35498456,35695872,35753293,35775769,35897360,35900442,35999245,36293317,36426116,36492910,36516621,36723454,36826069,36850635,37011416,37057854,37647990,37680920,37760781,37762244,37938774,38069437,38146669,38547913,38565181,38752221,38879017,39102781,39139573,39170046,39277142,39307344,39626773,39935763,39979477,39982232,40157856,40232901,40384530,40462213,40491145,40574334,41160374,41275326,41375726,41438276,41637843,42075805,42193976,42271982,42391035,42405349,42645302,42650845,42787870,43076832,43199094,43495486,43524709,43618094,43791492,43799005,43900581,44092213,44220762,44416484,44870421,44980011,45177588,45178724,45217104,45409573,45487309,45595533,45659305,45949021,46077861,46087645,46095193,46249801,46282693,46396669,46615717,46648472,46943245,47019253,47279901,47366852,47422141,47468223,47542575,47655145,47797405,48145316,48164173,48195860,48461436,48476541,48497749,48589374,48606697,48638917,48697124,48934045,48978062,49551524,49701829,49791433,50341016,50377321,50379933,50490966,50634205,50712080,50761646,50869242,51005509,51023672,51181014,51345444,51613429,51756517,51975253,52375573,52479531,52558806,52595204,52608670,52739733,52957069,53269801,53736205,54072632,54384910,54578845,54680612,54791166,54834469,54859405,55077933,55244893,55305174,55420045,55514654,55561796,55840105,56331894,56388164,56567197,56633643,56679145,56956484,56958505,57049046,57051090,57186174,57264157,57356886,57401631,57463849,57468421,57835032,57916333,57935005,58293949,58342174,58631305,58720035,58720854,58870741,58930789,59101486,59108180,59442217,59502037,59604445,60240374,60260174,60373821,60579070,60714205,60761046,60831711,60854496,60921860,60954301,60981577,61108069,61154329,61997317,62082493,62188292,62415021,62512105,62634704,62788105,63043621,63051694,63130404,63452120,63470734,63659593,63704773,63905336,64165705,64314229,64408621,64440745,64483446,64578205,64886061,64981870,65064411,65183576,65261892,65325302,65494614,65831286,65855197,65972269,66000621,66254581,66504054,66575726,66587929,66623773,66708229,67008126,67045645,67075455,67109781,67569301,67912261,68014974,68152088,68335275,68350206,68461308,68955805,69364105,69518761,69522006,69567320,69792937,69849373,69968660,70150789,70284109,70285412,70315405,70357566,70464042,70483119,70852484,70929816,70993705,71167513,71275341,71383635,71461093,71525334,71542222,71547152,71672197,71893503,71941645,72091214,72358581,72514441,72691609,72694884,72857046,72890960,73106232,73148389,73331523,73392253,73436421,73651341,73733470,73815236,73966345,74009595,74080533,74140414,74189917,74263364,74568094,74629381,74639245,75014526,75149733,75281581,75345726,75715126,75847945,76119301,76142544,76651945,76671099,76785805,76787566,76810526,76818392,76825321,76849221,76998846,77009732,77250469,77328894,77493846,77495293,77682644,77784182,77825197,77978244,78115160,78263235,78268894,78314701,78389005,78491876,78557269,78655645,78684157,78721513,78943568,79454605,79458637,79796043,79853545,79929646,80159288,80252854,80258451,80293669,80390221,80446069,80454774,80490546,80554520,80783005,81037461,81085213,81772981,81893924,82002330,82157101,82227433,82244511,82746966,83236926,83240437,83277070,83427805,83480784,83844781,83875454,83908475,83962392,84092379,84378486,84433412,84508777,84936261,85002910,85007005,85121816,85192446,85544733,85635524,85660362,85867573,85904324,86151037,86154776,86329974,86420691,86576324,86857369,86972905,87038062,87108056,87190355,87346057,87469152,87756745,87864361,87879555,87899557,87959181,87986293,88221277,88480164,88557933,88576046,88759614,88811514,89567094,89664622,89710045,89879017,89996269,90113614,90148894,90179199,90204709,90522373,90623835,90713955,90781789,90923534,90933501,91017534,91372526,91580269,91585717,91654345,91877470,91925161,91982334,92142966,92393317,92499933,92539652,92553334,92558605,93060181,93321860,93357709,93738192,93915882,93947876,94066806,94386774,94402309,94457691,94960214,95108180,95297470,95345526,95429662,95483883,95545775,95612894,95762043,95824254,96283945,96317854,96387896,96524869,96665424,96667405,96761552,96898237,96924123,96939606,97100612,97684581,97996563,98402796,98705821,98716309,98807989,98815341,98886795,99467269,99628004,99877357,99932484,...,31263539927930249269697692152645312393202189908635292491690784703061042755221283254784435923987694158232118521844369956625194017291830203655939729635010455560612006957547213175682732224467883249714227333914005391515123088614895565984060458170864901507645316910502547091805966784291079470072165410683741115091738974374211138533178098676514633810457753824744996207388049370790576545080752852291764748006958415877418832403865405349877514883472112277379526472539599917431460096564624383080798847566014210193739718180997020305178170427255378856594761249957686978532439764902226091426228614708919629166154389500112117055451106822848427230724608897818505680564052506250275270259123712187904476562420034499606393491857283912804824082294649088622265436378950668675024388434975021002724734346006159105447491884680568656865729963109503389748963138270016826589013964683631360506071172486182066991314532345678916969478213185379711527797131631889255930885966936559756729941812064175582531760287991552732650339890371674127061918711866059640204999244656888341358850619524853261751589000870470447625605065468680075473568460865420328536204463929352506733950692051681111623438641957907473214867031354203140697566265327707654775161204448484758027162220593329802519829690686397660658480781772516250714058219718178941824944665131405956436523157136746772684511447071586534626666448107368166371624240063666125026252786740759476934790241389029148986035323536061684979704625250678018455259356264243399872322912115528134073100376127648590138750653383379680360368453092996999343325092663388785117688197784323749639376191244550832364639387422669637152577063405475020463815025259191602544146985093699282349428971988229428154474180928054978385882838879833993004998909069575738916036526782690609603836034832366160539954958792778442824281366373109726804627052647290804969366236283132460502321648642658948135011194719364509390558143945466988265574305687215092842714194423880409866375013456946348813749085864762398673052198323870142604176476192371347692806467411120503459621144579844852344736911024692364650394377463668494654434790390402549923685261812742398157774108210820021667977721844522564975236394030484792054816067273124859125027291412591026246779259678734062743082485705243302129774395357958080980010809162816345425050324545527859790273423230540452374364833555671489314197269265935147782937473979764408762935847797458333232075418024761670308040725285277720239014219996916373507477471060106983094}
15516  2650321281487461717262479016179436386318469208367137463851860886: {77555,93066,294443,356339,526898,665339,1127339,1177468,1268786,1373003,1453898,1587539,1611688,1638866,1813149,2107048,2137403,2192906,2370429,2411363,2557005,2563283,2727472,3017843,3068406,3113426,3470603,3480626,3500723,3651203,3770044,3796765,3921563,4030346,4213298,4229589,4310939,4508188,4556118,4580008,4818083,5035225,5152509,5320648,5423950,5559683,5736923,5964805,5985729,6042270,6178763,6445088,6508740,6530939,6618803,6677339,6940298,6942656,6969539,7157766,7250724,7292872,7493483,7551539,7662026,7748500,7810488,8188043,8204481,8277448,8504843,8521150,8547388,8560946,8619803,8763323,8769352,8786799,8849339,9221243,9278044,9298200,9312129,9512205,9620243,9865521,9918080,9989339,10007548,10146352,10225380,10243528,10460475,10628198,10639043,10703666,10835939,10900005,10907072,11099644,11157840,11172563,11340443,11414646,11523969,11590346,11626672,11826268,11901696,11960488,12189148,12270456,12552570,12590363,12645539,12838403,12920939,12975923,13001546,13080006,13389408,13429672,13455549,13637788,13804263,13878539,13878866,14068883,14285939,14475443,14691539,14721244,14807661,15063084,15108381,15183140,15443843,15629128,15764339,15817643,15977363,16242923,16521244,16662098,16788205,16834826,16848808,17087339,17349539,17480339,17582769,18149829,18219768,18310312,18382898,18553672,18725843,18954909,19029148,19237898,19341683,19418339,19876763,20029765,20130323,20145846,20180939,20259146,20497239,20509163,20599101,20767826,20810939,20861123,20872881,20918733,21634883,21684539,21690200,21722673,21949706,21953992,21987133,22055939,22196392,22376363,22425539,22454066,22587388,22719923,22789586,22875693,22964363,23268805,23407432,23458898,23596163,23983150,24035718,24126539,24133288,24198563,24401475,24533723,24546129,24698241,24718605,24962339,24970941,25122098,25246643,25413244,25482683,25593393,25741403,25783346,25824712,25860325,25948298,26028240,26333361,26366512,26442083,26468188,26789723,26951339,27066539,27149949,27227483,27272008,27365123,27479603,27639539,27753266,27763456,27922566,27928765,28162283,28242506,28405298,28476328,28613950,28661605,28779780,29049375,29052801,29061323,29198152,29281770,29328539,29372963,29438632,29662326,29965948,30035483,30067521,30215805,30254723,30364043,30468325,30640072,30681009,30698432,30755939,30821003,30937461,30986000,31015763,31032390,31061149,31166005,31233888,31360403,31410190,31470986,31660283,31724339,31790666,32035869,32191883,32230192,32255339,32384989,32798632,32847921,32970805,32990339,33052883,33101216,33118461,33136163,33241150,33509339,33514518,33674363,33756328,33756683,34012298,34169906,34227539,34327365,34336740,34393926,34470081,34471523,34473928,34532339,34535736,34673963,34859250,34984453,35136539,35138124,35376203,35634539,35668648,35792843,36166763,36258966,36381923,36557243,36561990,36615539,36615856,36625856,36729381,36848003,36898461,36919729,36963803,37137098,37183200,37183705,37194539,37238868,37252043,37399206,37538483,37692228,37728443,37815112,37870401,37898723,37975869,38243068,38293523,38330939,38524466,38529448,38783169,38832923,38852703,38999456,39127643,39266044,39292523,39564966,39662080,39889380,39891539,40127229,40204298,40356146,40428539,40481843,40817413,40835363,40906408,40945150,40958339,40965244,41158365,41192838,41204088,41255363,41565746,41742429,41773883,41831100,42040141,42302123,42329512,42454043,42538163,42542001,42548672,42755939,42839339,42955763,43005539,43332028,43345629,43532003,43792163,43874388,43902256,43920669,43937603,43985939,44034203,44048389,44105546,44373070,44453929,44497043,44545233,44549426,44619840,44620446,44645713,44697098,44844626,44871700,45168808,45267981,45433298,45448643,45479339,45525323,45532645,45814883,45877192,45981203,46019709,46161539,46206443,46264270,46266203,46354599,46429883,46607339,46651523,46754339,47045939,47056552,47101150,47202805,47313553,47594496,47620701,47647883,47732723,47764946,47831339,47867256,47943563,48041339,48497003,48619763,48688828,48890243,49064339,49134180,49223843,49289963,49390038,49410472,49656539,49721339,49917386,49977790,50004083,50081649,50197320,50347708,50520683,50570363,50585032,50605653,50607539,50706323,50814909,51331533,51335939,51359723,51395339,51611841,51669628,51756626,51797845,51886403,51955403,52035539,52069763,52126643,52226728,52340963,52409792,52508123,52596539,52742470,52793603,52901963,52938621,53052323,53247684,53369243,53535323,53543808,53643868,53780603,53846040,53850663,54011339,54099112,54257339,54373643,54639174,54676298,54687539,54706283,54739365,54799523,54805366,54855083,54983603,54992723,55033768,55085181,55119563,55498826,55517124,55520605,55586781,55772363,55780763,55880939,55917169,56150483,56285939,56457803,56471985,56473405,56504003,56521380,56610683,56643366,56723243,56745539,56908161,57035629,57224723,57245339,57279539,57367523,57435776,57480539,57598792,57674339,57749843,57993203,58110083,58144523,58184339,58229363,58284923,58310590,58312403,58388656,58473083,58534108,58535339,58720043,58734539,58755069,58915713,58961016,58965539,59022323,59086163,59135939,59144123,59196539,59208565,59228123,59274539,59312339,59319803,59396243,59462363,59479283,59576603,59633077,59711843,59788403,59790923,59827228,59860523,59896043,59906723,59921339,59925443,59931539,59960939,59973348,59974043,59983163,60019283,60035243,60053339,60095963,60107603,60119483,60120229,60123563,60131339,60155939,60158003,60172403,60173339,60174683,60181523,60181645,60183083,60185339,60185603,60186563,60193586,60236784,60244825,60289472,60576795,60718898,60794044,60861501,60871405,61419457,61437148,61740561,61892426,61912989,61939405,62063589,62157414,62603758,62797106,62926270,63039868,63182666,63290964,63390100,63407973,63779590,63967953,64181805,64585298,64615248,64635388,64785832,64798641,64945933,65243229,65427141,65687238,65719946,65744005,66331143,66624726,66966986,67173244,67216093,67321288,67585106,67590790,67766382,67768086,67825656,68241352,68350765,68460592,68538613,69053906,69075622,69452245,69972708,70078408,70139377,70319644,70485205,71050278,71144854,71195605,71218226,72047306,72217974,72293790,72400466,72692154,72884061,73045686,73054888,73219466,73437244,73467093,73740232,73885225,74327286,74481589,75109192,75229726,75293066,75385429,75511524,75520586,75736449,75774361,75860786,76068120,76142469,76152325,76219549,76248232,76303863,76475848,76535508,76771521,77018166,77113376,77653298,77735365,78205898,78293380,78294472,78645386,78838209,78892806,78913005,79315150,79734026,79881670,80391553,80498428,81014728,81108948,81139328,81479470,81577365,81868106,82020918,82186749,82497098,82601426,82957761,83220028,83271981,83342694,84173872,84339409,84497841,84556298,84582246,84657746,84666358,85190110,85434726,85464146,85573569,85576635,85779261,85977928,86035329,86062898,86514748,86752548,86959150,87015856,87326152,87439826,87460825,87513261,87775048,87833941,87856765,88000828,88081281,88565605,88652229,88662270,88672072,88978898,89344168,89433940,89479708,89546546,90295346,90360561,90390261,90589213,90686632,90850898,90868605,90960037,91113700,91133608,91141569,91281744,91382790,92269045,92294342,92696008,92829205,93282438,93462986,93810088,93952056,93977492,94573088,94577541,94695606,94884157,95033788,95178180,95206101,95367112,95617586,95786066,95858004,96022990,96037706,96262165,96478108,96534193,96725169,96926512,96949298,97103305,97142728,97373773,97472805,97474976,97643950,97762898,97775364,97892838,97915228,97987953,98084306,98114845,98201788,98241921,98562098,98679460,98746929,98774044,99756081,99863589,...,46895309891895373904546538228967968589803284862952938737536177054591564132831924882176653885981541237348177782766554934937791025937745305483909594452515683340918010436320819763524098336701824874571341000871008087272684632922343348976090687256297352261467975365753820637708950176436619205108248116025611672637608461561316707799767148014771950715686630737117494311082074056185864817621129278437647122010437623816128248605798108024816272325208168416069289708809399876147190144846936574621198271349021315290609577271495530457767255640883068284892141874936530467798659647353339137139342922063379443749231584250168175583176660234272640846086913346727758520846078759375412905388685568281856714843630051749409590237785925869207236123441973632933398154568426003012536582652462531504087101519009238658171237827020852985298594944664255084623444707405025239883520947025447040759106758729273100486971798518518375454217319778069567291695697447833883896328950404839635094912718096263373797640431987329098975509835557511190592878067799089460307498866985332512038275929287279892627383501305705671438407598203020113210352691298130492804306695894028760100926038077521667435157962936861209822300547031304711046349397991561482162741806672727137040743330889994703779744536029596490987721172658774376071087329577268412737416997697108934654784735705120159026767170607379801939999672161052249557436360095499187539379180111139215402185362083543723479052985304092527469556937876017027682889034396365099808484368173292201109650564191472885208125980075069520540552679639495499014987638995083177676532296676485624459064286866826248546959081134004455728865595108212530695722537888787403816220477640548923524143457982344142231711271392082467578824258319750989507498363604363608374054790174035914405754052248549240809932438189167664236422049559664590206940578970936207454049354424698690753482472963988422202516792079046764085837215918200482398361458530822639264071291635820614799562520185419523220623628797143598009578297485805213906264714288557021539209701116680755189431716869767278517105366537038546975591566195502741981652185585603824885527892719113597236661162316230032501966582766783847462854591045727188082224100909687288687540937118886539370168889518101094114623728557864953194661593036937121470016213744224518137575486818291789685410134845810678561547250333507233971295903898902721674406210969646613144403771696187499848113127037142505462061087927916580358521329995374560261216206590160474641}
15517  2662108534274080724757842223823996657541425995952822330833116741: {124088,139599,790347,1410227,1471835,1766202,1843667,1903179,2014610,2180847,2215499,2386538,2417532,2458299,2633810,3160572,3289359,3409340,3749306,4007507,4091208,4602609,4655567,4670139,4712555,5220939,5635235,5639452,5655066,5725010,6045519,6074824,6235619,6319947,6381263,6650810,6762282,6834177,6870012,7242767,7439627,7673183,7980972,8056360,8135925,8642699,8678320,8878058,8963087,9063405,9110063,9116090,9543688,9667632,9685625,9763110,10173338,10346810,10410447,10413984,10465427,10552586,10645739,10684235,10736649,10869083,10876086,10939308,10961690,11378543,11493039,11597555,11622750,11666642,11715732,11750963,12246299,12397600,12416172,12509435,12590138,12682940,12781725,12804410,12821082,12841419,13154028,13406063,13523402,13633840,13675487,13797743,13874555,13917066,13947300,14533340,14626106,14742707,14782835,14877120,14950610,15011322,15219528,15236435,15281039,15338070,15365292,15868928,15942297,16010243,16021523,16055499,16234463,16302218,16360608,16481426,16578923,16649466,16736760,16787090,17044634,17047235,17121969,17307119,17385519,17440008,17739402,17852544,17940732,18015866,18283722,18401555,18405684,18828855,18978925,19144907,19209743,19421843,19449938,19502319,19536410,19620009,19743548,20084112,20144508,20456682,20481503,20585519,20621939,20651555,20724506,20811023,20818299,21061010,21116627,21141467,22047386,22081866,22494623,22594626,22596623,22609379,22774710,22887890,23070698,23192090,23420963,23443692,23689562,23773007,23786435,23863007,24199772,24293024,24690698,24781866,24916787,24993147,25252239,25273212,25387427,25548383,25758803,26180219,26507723,26810063,26861128,27112750,27290363,27329652,27442490,27465468,27574347,27745490,27830508,27891644,28201418,28215983,28234235,28384043,28519523,28543722,28698803,28856847,28963564,29140586,29259290,29536787,30164687,30166610,30218769,30252347,30388719,30500924,30970634,31102202,31151739,31177967,31210067,31289903,31766555,32038874,32047624,32280890,32509499,32535300,32728172,32924559,32930988,32958140,33085235,33088223,33190307,33294588,33507023,33681099,33713267,33881082,34090010,34124524,34184379,34479419,34704320,34879619,34898666,35111148,35188347,35595410,35665682,35793107,35974725,36053577,36199932,36298043,36461279,36497690,36798290,37038323,37230088,37240778,37457435,37640282,37683147,38022179,38119866,38208827,38262026,38300090,38373040,38414474,38482763,38514842,38675019,38732500,38737068,38922447,39042360,39201227,39256106,39400883,39522707,39549768,39702282,39984683,40090028,40142543,40287740,40428299,40443026,40563119,40908012,40998290,41174483,41249948,41376520,41629899,41645184,41883849,42086714,42195410,42363759,42607947,42714492,42920925,42963338,43092410,43169670,43234163,43294883,43453019,43797228,43922655,44157948,44261903,44304986,44493489,44585810,44686024,44948922,45017123,45082427,45698387,45769820,45782320,45858568,45960108,46047648,46255859,46479000,46548585,46850832,47115285,47136563,47206479,47268890,47336723,47685999,47803835,47818979,48154547,48161810,48343739,48345288,48612602,48645263,48749320,48972508,49082555,49117919,49197948,49577600,49651824,49861725,49865608,50222267,50256304,50271777,50398943,50493868,50634492,50682563,50792498,51018447,51090074,51133010,51206555,51254859,51327023,51505110,51590889,51710892,51803604,51958883,52099919,52108979,52288875,52309499,52707186,52753288,52791194,52911890,53185840,53502972,53665859,53851619,54165035,54388449,54832427,54841643,54842985,54877820,54923784,54930479,54938784,55209587,55549103,55656572,55705647,55774800,55858302,55992458,56010842,56089625,56098809,56461010,56538342,56574563,56687603,56722668,57146783,57346490,57364602,57475919,57786699,57794172,57845519,57915107,58349786,58499184,58560892,58601747,58820690,58899066,58906127,59347449,59393644,59450003,59455658,59493120,59493928,59547779,59711183,59834070,59903018,60306447,60357308,60468383,60534219,60840623,60861035,60861707,61116143,61285583,61318607,61359612,61417725,61425299,61447866,61763090,61789257,61806132,61871819,62348619,62516123,62585627,62746650,62934635,63231290,63459328,63494268,63748019,63823008,63923027,64137467,64345226,64522703,64587035,64920179,64998042,65187203,65258642,65283410,65289419,65512240,65720543,65811582,65853384,65863823,66054602,66158319,66340538,66435419,66559605,66717203,66764939,66775532,66824139,66916367,66929760,66930669,67045647,67054835,67266939,67307550,67474204,67623890,67753212,67848026,68149947,68442044,68500499,68507663,68792210,68815788,68949842,69054287,69291119,69396405,69802043,70085507,70584828,70651725,70887887,70996912,71391744,71506586,71551538,71647419,71792699,71794720,71800884,71998490,72218627,72586634,72852232,72985820,73033242,73167635,73208987,73370219,73446908,73652138,73701270,74022832,74085057,74101763,74115708,74396603,74421803,74606243,74639099,74784035,74876079,74966685,75208907,75230687,75287459,75295980,75361840,75521562,75524488,75877548,75992555,76138874,76293338,76410383,76796435,76803167,77095826,77130362,77504442,77588063,77634939,77758034,77833499,77967227,78176147,78205562,78279146,78324959,78340092,78403823,78554284,78614688,78694403,78799835,79113705,79237625,79253546,79292267,79306463,79350803,79678259,79741907,79871526,79922243,79958954,79964464,80315712,80346443,80465802,80769060,80794235,80810027,80924426,80982290,81109007,81148668,81243563,81958761,82014447,82083827,82123619,82208049,82320748,82549259,82550652,82751452,82876552,83248239,83275686,83446223,83855699,83966555,84151610,84387952,84454019,84519803,84543964,84782070,84810698,84938543,84965049,84999887,85290604,85301690,85575740,85643123,86153664,86197199,86398188,86736299,86990972,87049418,87236188,87465885,87516947,87582984,87598010,87801162,87899555,87903347,87911003,88184426,88232819,88441524,88832968,89739983,89740842,89831987,89960022,90217043,90290379,90355176,90357448,90409487,90434208,90819146,90879203,90974618,91078347,91191066,91318610,91597643,91796555,91898042,92155722,92175290,92190386,92499602,92565386,92793338,92838639,93072299,93231434,93236121,93296944,93369923,93479963,93863903,93886490,93905637,94038506,94195659,94305503,94389405,94559802,94619027,94733704,94754363,94773999,94844282,94936446,95072627,95085150,95310290,95594810,95669385,95827979,95855519,96290632,96328346,96391720,96538127,96877947,96922872,96947507,96953082,96995498,97075883,97109747,97178748,97213394,97277834,97394248,97424603,97866725,97868090,97956124,97980107,98441567,98530857,98579919,98608403,98709419,99103048,99391187,99403658,99582866,99937089,...,62527079855860498539395384305290624786404379817270584983381569406122085510442566509568871847975388316464237043688739913250388034583660407311879459270020911121224013915094426351365464448935766499428454667828010783030246177229791131968120916341729803015290633821005094183611933568582158940144330821367482230183477948748422277066356197353029267620915507649489992414776098741581153090161505704583529496013916831754837664807730810699755029766944224554759052945079199834862920193129248766161597695132028420387479436361994040610356340854510757713189522499915373957064879529804452182852457229417839258332308779000224234110902213645696854461449217795637011361128105012500550540518247424375808953124840068999212786983714567825609648164589298177244530872757901337350048776869950042005449468692012318210894983769361137313731459926219006779497926276540033653178027929367262721012142344972364133982629064691357833938956426370759423055594263263778511861771933873119513459883624128351165063520575983105465300679780743348254123837423732119280409998489313776682717701239049706523503178001740940895251210130937360150947136921730840657072408927858705013467901384103362223246877283915814946429734062708406281395132530655415309550322408896969516054324441186659605039659381372795321316961563545032501428116439436357883649889330262811912873046314273493545369022894143173069253332896214736332743248480127332250052505573481518953869580482778058297972070647072123369959409250501356036910518712528486799744645824231056268146200752255297180277501306766759360720736906185993998686650185326777570235376395568647499278752382489101664729278774845339274305154126810950040927630050518383205088293970187398564698857943976458856308948361856109956771765677759667986009997818139151477832073053565381219207672069664732321079909917585556885648562732746219453609254105294581609938732472566264921004643297285317896270022389438729018781116287890933976531148611374430185685428388847760819732750026913892697627498171729524797346104396647740285208352952384742695385612934822241006919242289159689704689473822049384729300788754927336989308869580780805099847370523625484796315548216421640043335955443689045129950472788060969584109632134546249718250054582825182052493558519357468125486164971410486604259548790715916161960021618325632690850100649091055719580546846461080904748729667111342978628394538531870295565874947959528817525871695594916666464150836049523340616081450570555440478028439993832747014954942120213966188}
15518  2673947796053722752074662763565144832581297798779838543943445735: {108577,155110,186132,588886,712678,1035217,1053796,1219681,1330678,1954657,2254678,2354936,2411677,2537572,2649303,2746006,2907796,3021915,3048481,3175078,3223376,3229777,3277732,3501181,3579807,3626298,3681757,3950715,4214096,4221757,4261675,4274806,4385812,4740858,4822726,5026897,5114010,5126566,5315471,5454944,5623959,5737681,6003037,6035686,6136812,6226852,6882877,6941206,6961252,7001446,7049315,7302406,7320097,7540088,7593530,7843126,8060692,8350727,8426596,8459178,8482599,8534737,8587515,8621878,9016376,9112236,9160016,9393697,9636166,9976215,10070450,10143423,10245457,10305018,10641296,10847900,10921681,11090017,11119366,11473846,11593297,11929610,11971458,12084540,12357526,12890176,13017480,13061878,13237606,13317087,13354678,13674135,13880596,13885312,13939078,14070817,14315532,14501448,14585744,14644665,14986966,15043681,15103078,15260007,15324052,15445981,15497000,15520215,15620976,15686497,15828879,15853675,16085917,16245181,16314129,16376086,16408962,16442535,16554896,16800337,17009686,17042300,17094776,17121892,17239606,17434125,17499963,17526646,17538704,17573598,17665597,17698678,18166675,18442486,18444637,18556088,18596400,18624258,18754237,18885207,19024410,19206615,19231623,19240486,19731042,19836160,19978678,20015096,20285103,20292704,20360737,20450760,20487056,20875599,20889181,20920950,21256396,21278086,21407332,21671878,21800010,21814144,21939159,22199288,22231837,22315680,22345126,22425915,22516983,22680886,22829292,23007105,23047938,23180692,23253344,23503487,23652536,23803392,23920976,24202081,24378296,24453327,24540912,24561181,24679435,24722139,24974199,25060897,25105140,25180635,25180726,25291078,25566951,25676806,25841878,25951846,26003092,26160012,26469217,26609103,26778816,26859344,26911098,27023799,27275576,27425583,27608526,27757078,27757732,28041671,28137766,28571878,28595197,28950886,29065681,29174907,29304615,29383078,29442488,29532637,29615322,29864017,30061981,30126168,30216762,30249715,30366280,30685023,30847357,30887686,30912337,31086759,31171537,31258256,31528678,31591515,31635286,31954726,32485846,32576327,32953681,33042488,33071079,33078817,33122799,33324196,33576410,33669652,33697616,33891939,34162065,34174678,34331835,34375357,34497181,34606047,34699078,34788135,34800481,34864555,34960678,35165538,35534343,35580637,36204455,36299658,36439536,36620624,36757117,36765796,37036047,37107344,37172799,37277137,37451686,37563517,37909818,38058296,38126155,38130877,38187217,38475796,38579581,38683366,38836678,39100271,39572317,39681181,39753526,40059530,40126247,40260646,40291692,40361878,40381777,40518292,40669125,40859677,40910215,40994478,41018326,41163735,41197675,41198202,41535652,41618235,41621878,41722246,41745762,41797981,41837466,42156577,42302127,42461137,42562081,42655655,42815583,43061359,43161697,43269766,43369078,43380400,43445346,43632407,43653457,43702237,43710879,43888935,43899412,43907984,43974266,44041681,44111878,44392784,44752726,44851078,44908132,45174776,45249915,45439846,45548497,45579172,45751386,45822817,45928726,46159127,46229437,46274257,46452817,46455951,46537610,46653303,46814864,46917796,47192326,47542717,47670481,47755297,47966077,47966300,48058311,48071436,48253078,48266576,48397126,48415625,48421335,48628477,48802950,49067446,49092258,49188667,49232737,49396482,49437210,49683803,49924678,49941882,49974877,50112535,50244196,50359675,50493286,50542417,50579677,50821623,50826488,50965366,51021181,51135015,51186786,51381181,51482806,51562435,51566692,51628897,51649424,51720650,51803677,51896596,52056480,52057187,52317217,52347999,52518097,52666722,52733024,52884166,52912081,52936376,53232481,53393115,53498523,53579446,53638237,53902678,54133078,54273703,54299898,54454966,54544016,54670177,54726481,54730246,54746535,54865981,54959206,55003681,55197435,55279078,55405981,55506532,55526912,55741537,55792081,55845132,55857530,55861167,55917181,55966717,56113597,56161981,56281681,56324566,56446237,56460423,56485012,56515681,56584477,56629981,56810596,56952656,57132577,57179799,57212275,57227900,57323210,57379681,57393039,57450135,57519037,57559560,57621711,57768481,57772263,58005757,58098750,58105602,58122646,58179997,58247677,58264417,58396304,58427857,58491217,58537981,58563540,58657078,58733137,58745926,58804957,58877264,58884159,59035681,59245597,59324652,59337181,59359357,59413537,59553423,59612257,59621437,59709277,59805181,59897377,59931896,59988637,59999581,60035617,60070966,60085117,60112081,60135042,60138577,60173857,60187681,60202081,60431610,60509446,60664539,60728086,60936650,61215635,61280144,61362018,61396864,61497435,61511878,61642006,61874922,61972000,62031526,62064780,62122298,62332010,62467776,62720806,62820380,62941972,63117335,63130071,63293115,63320566,63448678,63581332,63745703,64071738,64383766,64445007,64460384,64510678,64638615,64754505,64769978,65597264,65695842,65941610,65980678,66083927,66105766,66202432,66236922,66272326,66457479,66482300,66523567,66878715,67018678,67029036,67348726,67423383,67512656,67513366,68024596,68339812,68455078,68597275,68654730,68673480,68787852,68940162,68943046,68947856,69064678,69071472,69347926,69570715,69718500,69968906,70273078,70276248,70752406,70903335,71269078,71337296,71585686,72242715,72333526,72516983,72517932,72586631,72763846,72918903,73114486,73123980,73201115,73231078,73231712,73251712,73458762,73696006,73796922,73839458,73927606,74242055,74274196,74366400,74367410,74389078,74477736,74504086,74798412,75076966,75384456,75446635,75456886,75630224,75740802,75797446,75951738,75989371,76188747,76486136,76587046,76635111,76661878,76699515,77048932,77058896,77257665,77566338,77665846,77705406,77728847,77998912,78255286,78532088,78585046,79060779,79062767,79129932,79186791,79324160,79367835,79778760,79783078,80254458,80408596,80712292,80857078,80963686,81000179,81634826,81670726,81812816,81890300,81916678,81930488,82316730,82385676,82408176,82510726,82891991,83131492,83469415,83484858,83547766,83662200,83787453,83845003,83988687,84016263,84080282,84254303,84342755,84604246,84659024,84691515,84807513,84908086,85076326,85084002,85097344,85219967,85511878,85552555,85678678,85911526,86011078,86019735,86046903,86664056,86691258,86715167,87064006,87524679,87584326,87748776,87804512,87841338,87875206,87971878,88068406,88096778,88211092,88231035,88348599,88746140,88907858,88994086,89090466,89098852,89183487,89239680,89240892,89291426,89394196,89689252,89743400,89751105,89854527,89967559,90337616,90535962,90866596,90897286,90958678,91050646,91065290,91232275,91629766,91754384,91808635,91962406,92039418,92041607,92171799,92323078,92412886,92528540,92532406,92644635,92709198,92859766,93214678,93303046,93508678,94091878,94113104,94119975,94202300,94405610,94627106,94846935,95008199,95188992,95241402,95295766,95465446,95529892,95662678,95691071,95734512,95887126,96082678,96517839,96994006,97233143,97239526,97377656,97497063,97780486,97887963,97925115,98128678,98192855,98268360,98447686,98579926,98679287,98717373,98780076,98820944,99035959,99081903,99313078,99442678,99510807,99673847,99834772,99955580,...,93790619783790747809093076457935937179606569725905877475072354109183128265663849764353307771963082474696355565533109869875582051875490610967819188905031366681836020872641639527048196673403649749142682001742016174545369265844686697952181374512594704522935950731507641275417900352873238410216496232051223345275216923122633415599534296029543901431373261474234988622164148112371729635242258556875294244020875247632256497211596216049632544650416336832138579417618799752294380289693873149242396542698042630581219154542991060915534511281766136569784283749873060935597319294706678274278685844126758887498463168500336351166353320468545281692173826693455517041692157518750825810777371136563713429687260103498819180475571851738414472246883947265866796309136852006025073165304925063008174203038018477316342475654041705970597189889328510169246889414810050479767041894050894081518213517458546200973943597037036750908434639556139134583391394895667767792657900809679270189825436192526747595280863974658197951019671115022381185756135598178920614997733970665024076551858574559785254767002611411342876815196406040226420705382596260985608613391788057520201852076155043334870315925873722419644601094062609422092698795983122964325483613345454274081486661779989407559489072059192981975442345317548752142174659154536825474833995394217869309569471410240318053534341214759603879999344322104499114872720190998375078758360222278430804370724167087446958105970608185054939113875752034055365778068792730199616968736346584402219301128382945770416251960150139041081105359278990998029975277990166355353064593352971248918128573733652497093918162268008911457731190216425061391445075777574807632440955281097847048286915964688284463422542784164935157648516639501979014996727208727216748109580348071828811508104497098481619864876378335328472844099119329180413881157941872414908098708849397381506964945927976844405033584158093528171674431836400964796722917061645278528142583271641229599125040370839046441247257594287196019156594971610427812529428577114043078419402233361510378863433739534557034210733074077093951183132391005483963304371171207649771055785438227194473322324632460065003933165533567694925709182091454376164448201819374577375081874237773078740337779036202188229247457115729906389323186073874242940032427488449036275150973636583579370820269691621357123094500667014467942591807797805443348812421939293226288807543392374999696226254074285010924122175855833160717042659990749120522432413180320949282}
15519  2685839294489298403249864274582711619857793544510830609900743209: {232665,248176,279198,883329,1069017,1317245,1580694,1875137,1996017,2060569,2618317,2820454,2943670,3171965,3382017,3532404,3634745,3687334,3806358,4029220,4097165,4119009,4361694,4430998,4762617,4773076,4835064,4916598,5267620,5439447,5482265,6321144,6412209,6578718,6597577,6818680,6975617,7111287,7234089,7498612,7628189,7671015,7689849,7783565,7889329,7993337,8015014,8182416,8185217,8701565,9053529,9205218,9311134,9340278,9425110,10075865,10316489,10411809,10441878,10502169,10533245,10776317,10953609,11270470,11278904,11310132,11390295,11450020,11764689,12091038,12149648,12471238,12639894,12688767,12762526,12932817,13002701,13301620,13447369,13524564,13559875,13668354,13740024,14454249,14485534,14879254,14957929,15105675,15346366,15457527,15489329,15843529,15961944,16112720,16236577,16271850,16679049,17210769,17285398,17350745,17356640,17513209,17722297,17756116,17893801,17894415,17926174,17957187,18126810,18126977,18220126,18232180,18536289,18825017,19087376,19155065,19335264,19371250,19424377,19526220,19592817,19856409,20032017,20346676,20693620,20695969,20820894,20827968,20908617,20930854,21048809,21105172,21291478,21302875,21331009,21368470,21397249,21402365,21473298,21738166,21752172,21878616,21923380,22158257,22480449,22654617,22757086,22986078,23195110,23245500,23319869,23333284,23431464,23501926,23866129,24492598,24563449,24564129,24613443,24795200,24832344,25018870,25173401,25180276,25365880,25514529,25563450,25608820,25642164,25682838,25762177,25859409,26289969,26308056,26360397,26443517,26548017,26570495,26759165,26812126,27046804,27267680,27350974,27595486,27663729,27749110,27834132,27894600,27936387,28536615,28860729,28912177,28975865,29066680,29172457,29252212,29423417,29485414,29565670,29596563,29754240,29901220,29968017,30022644,30182801,30439056,30472870,30562078,30676140,30730584,31327309,31381425,31737856,31874761,31884594,31917129,32020486,32043046,32110998,32468926,32503865,32507817,32604436,32700015,32721216,32962852,33157846,33298932,33301009,33473520,33517689,33574180,34021329,34089268,34094470,34243938,34571907,34614238,34697165,34771038,34880016,35478804,35705088,35881464,36031732,36567444,36803110,36811368,37095049,37657710,37771089,37936617,37957850,38289814,38419486,38420317,38515209,38762817,38843686,38899876,38927769,39004638,39072820,39240018,39487096,39527929,39599209,39749981,39980417,40142201,40168224,40289016,40366647,40568401,40913364,40963006,41171038,41243878,41303110,41412789,41449012,41622046,41635617,41636598,41655245,42087065,42122020,42206649,42233254,42282934,42740249,42857817,43295117,43426329,44036281,44074617,44094772,44163732,44422983,44473177,44989246,45082589,45189252,45193246,45218758,45325143,45479629,45549420,45775780,45957245,46141396,46280737,46319329,46331529,46384180,46841926,46887384,47066657,47293017,47379124,47452929,47546014,47572870,47726014,47733449,47932089,48094745,48396209,48399544,48586048,48728769,49381396,49563732,49833574,49986294,50364615,50390429,50504478,50546424,50647865,50774854,51096766,51262017,51393137,51517606,51919565,52048617,52360438,52440409,52441017,52682041,52748307,53015446,53610881,53620126,53722256,54225500,54449487,54580726,54659304,54874265,54884980,54930936,55148694,55490980,55661016,55783288,56130769,56135165,56177529,56402836,56431966,56468470,56768086,56864727,56973965,57039046,57087444,57397606,57713694,57869537,57927128,58025049,58255017,58281172,58348841,58518580,58647245,58878689,59073574,59630289,59823401,59957875,60089295,60329374,60333220,60390969,60437538,60476257,60480509,60504694,60542817,60659209,60777438,61001848,61293601,61491717,61527489,61797303,61820317,61941268,61999309,62013569,62204404,62303478,62355934,62420134,62432817,62579806,62583369,62618643,62756199,62805245,62903017,63533110,63676157,64077748,64095248,64347089,64458365,64561780,64728649,64870745,64904649,65018998,65053617,65070600,65168019,65456344,65849118,65861976,65916280,65961399,66138841,66167817,66170470,66176446,66380614,66444121,66589176,66636977,66925369,67014046,67129089,67276617,67362198,67426534,67669817,67762164,68087017,68159769,68180020,68249048,68368758,68627079,68715577,68893089,68958838,69319769,69383165,69408640,69660509,69759238,69797332,69806415,69870961,70222296,70376694,70606265,70788489,71013245,71190820,71331364,71480057,71534875,71586214,71689177,71949450,72107154,72228169,72379617,72399864,72533309,72595689,72596086,72922558,72995380,73204425,73596580,73601169,73638387,74076646,74094723,74155815,74460176,74481556,74615977,74887017,74912823,74914870,75280564,75301169,75366294,75739929,75831049,76044358,76239732,76417654,76448049,76524052,76600180,76746080,76780179,76828948,76965526,77029684,77224209,77350038,77465000,77474136,77515457,77580975,77844894,78084720,78402454,78512212,78525475,78677465,78801766,79000083,79045414,79099536,79326249,79404564,79476665,79719449,79969366,80180056,80285086,80369169,80575480,80854017,80856598,80886052,81106817,81126238,81199617,81369289,81449847,81571649,81682449,81794417,81816024,81821809,81922717,81996580,82095369,82348966,82438809,82499896,82753040,82918617,83102875,83259798,83290368,83767698,83786295,83820889,84173428,84390820,84486849,84727518,84741161,84845917,85030745,85205449,85215894,85424765,85428984,85654297,85841850,85887577,85926676,85984815,86184820,86339340,86468326,86589766,86906038,87100889,87148125,87158403,87183969,87594456,87845310,87985617,88108489,88118889,88315896,88523806,88609972,88620769,88986978,89171620,89372048,89897844,90034246,90106449,90164854,90202563,90317089,90421849,90647415,90764169,90891037,90909149,91092129,91396774,91404975,91524281,91539640,91564640,91604777,91717136,91920216,92043027,92095296,92144417,92267817,92388889,92463009,92511718,92812383,92842745,92958000,93047289,93097170,93183447,93498015,93503201,93644861,93701664,93876769,94081209,94209449,94230570,94273126,94317841,94412958,94537780,94673446,94980849,95173017,95371998,95607670,95637958,95868001,96107607,96309094,96311165,96323620,96575649,96687478,96690576,96766017,97053521,97154967,97225204,97290526,97498640,97945016,98165110,98235838,98395896,98543763,98912415,98971017,99155200,99158649,99303648,99355383,99408489,99723450,99731216,99926857,...,140685929675686121713639614686903905769409854588858816212608531163774692398495774646529961657944623712044533348299664804813373077813235916451728783357547050022754031308962459290572295010105474623714023002613024261818053898767030046928272061768892056784403926097261461913126850529309857615324744348076835017912825384683950123399301444044315852147059892211352482933246222168557594452863387835312941366031312871448384745817394324074448816975624505248207869126428199628441570434540809723863594814047063945871828731814486591373301766922649204854676425624809591403395978942060017411418028766190138331247694752750504526749529980702817922538260740040183275562538236278126238716166056704845570144530890155248228770713357777607621708370325920898800194463705278009037609747957387594512261304557027715974513713481062558955895784833992765253870334122215075719650562841076341122277320276187819301460915395555555126362651959334208701875087092343501651688986851214518905284738154288790121392921295961987296926529506672533571778634203397268380922496600955997536114827787861839677882150503917117014315222794609060339631058073894391478412920087682086280302778114232565002305473888810583629466901641093914133139048193974684446488225420018181411122229992669984111339233608088789472963163517976323128213261988731805238212250993091326803964354207115360477080301511822139405819999016483156748672309080286497562618137540333417646206556086250631170437158955912277582408670813628051083048667103189095299425453104519876603328951692574418655624377940225208561621658038918486497044962916985249533029596890029456873377192860600478745640877243402013367186596785324637592087167613666362211448661432921646770572430373947032426695133814176247402736472774959252968522495090813090825122164370522107743217262156745647722429797314567502992709266148678993770620821736912808622362148063274096072260447418891965266607550376237140292257511647754601447195084375592467917792213874907461844398687560556258569661870886391430794028734892457415641718794142865671064617629103350042265568295150609301835551316099611115640926774698586508225944956556756811474656583678157340791709983486948690097505899748300351542388563773137181564246672302729061866062622811356659618110506668554303282343871185673594859583984779110811364410048641232673554412726460454875369056230404537432035684641751000521701913887711696708165023218632908939839433211315088562499544339381111427516386183263783749741075563989986123680783648619770481423923}
15520  2697783258232386353529082749681715286616718691438141398246860152: {217154,310220,356431,372264,418797,727231,819751,912199,1177772,1425356,1649191,2070434,2107471,2107592,2371041,2439362,2661356,2927839,3561871,3832519,3909314,3922591,4230681,4415505,4461511,4509356,4709872,4823354,5036525,5075144,5265031,5298606,5442799,5492012,5531001,5709537,5797471,5815592,5885959,5966345,6043830,6096962,6327319,6350156,6446752,6459554,6542541,6555464,6584525,6646497,6679111,7002362,7029751,7159614,7252596,7363514,7374897,7553551,7901430,8420791,8428192,8443514,8507119,8523350,8549612,8771624,9373265,9481716,9537439,9645452,9708151,9868077,9869041,10048711,10053794,10228020,10253132,10630942,10909888,11231599,11247918,11399431,11475362,11734231,12006074,12022521,12067879,12071372,12273624,12453704,12648991,12896959,12979471,13555039,13765754,13807827,13882412,13922504,13966701,14002892,14010417,14098630,14127079,14137665,14208511,14289871,14312525,14604812,14640194,14938159,15080176,15187060,15662817,15686252,15822031,15981799,16121384,16538719,16627025,16701454,16853192,16905705,16918356,16965198,17069474,17092111,17175030,17243756,17406751,18032752,18136557,18188311,18224472,18320032,18706857,18787394,18959841,19143789,19270399,19272332,19347151,19952430,20140900,20186671,20262559,20286846,20490914,20502531,20610036,20867071,21167599,21282592,21317431,21690751,21695800,21728301,21843362,22180034,22195145,22238732,22318881,22358191,22431991,22505719,22726471,22790225,22947692,23019549,23186594,23748079,23859220,23942916,24169080,24407775,24715052,24826999,24969631,25433345,25537279,25780352,25867025,25889719,25928097,25959991,26034960,26123756,26381465,26475212,26634174,26709356,26889261,27005431,27190215,27330189,27348270,27404225,27761192,27761791,27770624,27830119,27878156,28141634,28170679,28631064,28779151,29002896,29056875,29166605,29171488,29289330,29381791,29973932,30087362,30206156,30520014,30648104,30765271,30891962,30994000,31025191,31040430,31231341,31241952,31372994,31396281,31412911,31475345,31477279,31605799,31657758,31669951,31707350,31937217,32011025,32052705,32171834,32209947,32307511,32490362,32607249,32628258,32752172,32817924,32885070,33109792,33374839,33600674,33684799,33808279,33808505,34019372,34084600,34135629,34189552,34243784,34479117,34479212,34551209,34603879,34725199,34792665,34868250,34906639,34999926,35053292,35077408,35147196,35252889,35331194,35387311,35397356,36217399,36333350,36393439,36565265,36685399,36738897,36884972,36889274,37112176,37192800,37248516,37376525,37508474,37528305,37770414,37778431,37948639,38048820,38343271,38345175,38413230,38463246,38480972,38524257,38678719,39341839,39462084,39672320,39886519,39940591,39957356,40030192,40218189,40530631,40570206,40585408,40721474,40755545,40848799,40901520,40954279,40974112,41026461,41203565,41268991,41321191,41393229,41623665,41632879,41751198,41778362,41841900,41967725,42349601,42350071,42400759,42512792,42556172,42611585,42753559,42814664,42853711,43053151,43102831,43343756,43600020,43628288,43878318,43887919,44228121,44348505,44398576,44463674,44559751,44631360,44690252,44701879,44851830,45030991,45033966,45039665,45361772,45495031,45658584,45709305,45843117,46014210,46087519,46095876,46361384,46446079,46506688,46623631,47006974,47018911,47305072,47606784,47826891,47834239,47841952,47960599,48030729,48064569,48166497,48404162,48582679,48624845,48703389,48756592,48810377,48841025,48906654,49081824,49122362,49268119,49347391,49358870,49444278,49544311,49700551,49736769,49894231,49948398,50121794,50124271,50210280,50361270,50361452,50464471,50582156,50686237,50688031,50890697,50982079,51133902,51141705,51353612,51365907,51378871,51683756,51811265,51903692,51921357,51974959,52006184,52146319,52156557,52214359,52320024,52652525,52715479,52938434,53072671,53218206,53376617,53557632,53607559,53718688,53821759,53822196,53972599,54032431,54047598,54151231,54210199,54414319,54551152,54557959,54586471,54727951,54839839,54851166,54975569,55032871,55118465,55204665,55217052,55513039,55514156,55515464,55845319,56043751,56083342,56275532,56379919,56486565,56542711,56746831,56936775,57052759,57074071,57143756,57190394,57219725,57221239,57274301,57283231,57303751,57425359,57434721,57465319,57602911,57629229,57676745,57774631,57901772,57976591,57980225,58016717,58083079,58117999,58131362,58132061,58135351,58254799,58265529,58349814,58506957,58607239,58609230,58682479,58755919,58766156,58799119,58860027,58884976,58992151,59005399,59065274,59070559,59096119,59171071,59223905,59230644,59255239,59347111,59402191,59496799,59556631,59604511,59613871,59668519,59717917,59728034,59846719,59935639,59954431,59990071,60048679,60110671,60122119,60123962,60139759,60186271,60203911,60212839,60214351,60216511,60252336,60433524,60499430,60732560,61370046,61444509,61694714,61726745,61756557,61775372,61824674,61865817,61954665,62173518,62343074,62433069,62454897,62516512,63057356,63183030,63270572,63349881,63424401,63909452,64141649,64971692,65152654,65907362,66084976,66142158,66157634,66245598,66648392,67152820,67339304,67395232,67483869,67781875,67783878,67789869,67828137,68324130,68349356,68606225,68663670,68750714,68994362,69212094,69218897,69363725,69398156,69576270,69600962,69729110,69921356,70157549,70262889,70331076,70503545,71068686,71161274,71319021,71359305,71589021,72187409,72408910,72599316,72851465,72879072,73148225,73241248,73514234,73531592,74072094,74214688,74345598,74349869,74554274,74750361,74903372,74979441,75127034,75416525,75756717,75819636,76116592,76162281,76252310,76261754,76374434,76645149,76951592,77159162,77276409,77366732,77426585,77673356,77755505,78200542,78540657,78618761,79144634,79362362,79507052,79523169,80097185,80119060,80252494,80430189,80521292,80583384,80702225,80723756,80763554,81036584,81338250,81719354,81820430,81871089,81988956,82036652,82327470,82395350,82396404,82723041,83071304,83236470,83243756,83444492,83491524,83595962,83674932,84313154,84604254,84647949,84702705,84922274,84929297,85124162,85152129,85225025,85311310,85558569,85631166,85701889,86096409,86122718,86323394,86539532,86570541,86738156,86760800,86890692,87246665,87264814,87306914,87404474,87421758,87777870,87798824,87815968,87869837,87948532,88083362,88223756,88364269,88610361,88785568,88988525,89164205,89505452,89627417,89702156,89816264,90349552,90494061,90499830,90656307,90757041,90879692,91096994,91158344,91166157,91244225,91502772,91645634,91857452,91995725,92318254,92458874,92548514,92905634,92911902,93075220,93101945,93306606,93455217,93533901,93629728,93630201,93709121,93835592,93869709,94100705,94384652,95085434,95299665,95340962,95510594,95655065,95750225,95932154,95932600,96036185,96116622,96142872,96287105,96506156,96533152,96794252,96831250,96842670,97256954,97399001,97528497,97605900,98134892,98140265,98184516,98377334,98465474,98773677,98792964,98874420,99089549,99255705,99264669,99367606,99570921,99849356,99883764,99949754,...,187581239567581495618186152915871874359213139451811754950144708218366256531327699528706615543926164949392711131066219739751164103750981221935638377810062733363672041745283279054096393346807299498285364003484032349090738531689373395904362749025189409045871901463015282550835800705746476820432992464102446690550433846245266831199068592059087802862746522948469977244328296224743459270484517113750588488041750495264512994423192432099265089300832673664277158835237599504588760579387746298484793085396085261162438309085982121831069022563532273139568567499746121871194638589413356548557371688253517774996926337000672702332706640937090563384347653386911034083384315037501651621554742273127426859374520206997638360951143703476828944493767894531733592618273704012050146330609850126016348406076036954632684951308083411941194379778657020338493778829620100959534083788101788163036427034917092401947887194074073501816869279112278269166782789791335535585315801619358540379650872385053495190561727949316395902039342230044762371512271196357841229995467941330048153103717149119570509534005222822685753630392812080452841410765192521971217226783576115040403704152310086669740631851747444839289202188125218844185397591966245928650967226690908548162973323559978815118978144118385963950884690635097504284349318309073650949667990788435738619138942820480636107068682429519207759998688644208998229745440381996750157516720444556861608741448334174893916211941216370109878227751504068110731556137585460399233937472693168804438602256765891540832503920300278082162210718557981996059950555980332710706129186705942497836257147467304994187836324536017822915462380432850122782890151555149615264881910562195694096573831929376568926845085568329870315297033279003958029993454417454433496219160696143657623016208994196963239729752756670656945688198238658360827762315883744829816197417698794763013929891855953688810067168316187056343348863672801929593445834123290557056285166543282459198250080741678092882494515188574392038313189943220855625058857154228086156838804466723020757726867479069114068421466148154187902366264782010967926608742342415299542111570876454388946644649264920130007866331067135389851418364182908752328896403638749154750163748475546157480675558072404376458494914231459812778646372147748485880064854976898072550301947273167158741640539383242714246189001334028935885183615595610886697624843878586452577615086784749999392452508148570021848244351711666321434085319981498241044864826360641898564}
15521  2709779916927492761822967608681547149187218989748866996098902506: {325731,387775,465330,496352,558396,1472215,1766658,1781695,1844143,2138034,2216071,2634490,2897191,3105651,3161388,3326695,3659043,3750274,3992034,4121138,4440751,5088643,5236634,5636695,5640908,5736031,5863971,5887340,6297511,6343930,6764034,6865015,7064808,7235031,7269490,7315891,7374668,7612716,7675171,7937695,7947909,8058440,8154271,8194330,8238018,8243911,8525623,8723388,8861996,9065745,9145443,9446671,9525234,9546152,9670128,9689331,9728743,9833196,10027699,10503543,10535240,10687015,10739421,10878894,10896991,10964530,11027971,11045271,11301991,11381491,11852145,12044119,12056815,12057859,12182191,12642288,12665271,12785025,12816415,12824418,13157311,13157436,13195154,13637360,13899439,13921351,13951234,14084851,14106211,14222574,14468178,14746543,14997224,15080691,15089215,15256378,15342030,15379698,15567130,15778658,15946413,15986674,16014391,16030028,16364832,16370434,16445671,16702531,16871877,17213043,17311603,17353015,17403130,17503615,18009111,18107058,18256015,18371239,18410436,18465799,18622268,18680556,18850220,18983825,19607815,20151730,20632978,20648631,20823618,20883756,20950723,21004338,21066490,21147945,21422791,21490051,21552634,21554695,21907218,21960291,22500451,22540940,22557808,22620264,22780590,22900040,23167111,23427031,23529378,23729743,24090415,24182076,24291043,24299296,24942476,25052181,25176125,25176679,25192291,25279788,25377534,25447797,25511299,25525052,25604211,25762545,25865634,25952959,26005402,26063383,26187031,26603240,26817091,26894738,26967151,27049128,27119750,27336708,27480048,27798415,28181091,28684615,28908498,28971068,29554519,29566111,29750383,29758508,29824025,29915858,29928645,29963311,30186739,30211350,30430269,30520039,30692732,30736371,30893815,30915054,30978658,31687058,31923888,32185219,32225440,32473154,32543700,32654695,32765043,33094015,33183271,33198943,33270051,33358098,33386695,33522871,34078243,34235671,34359631,34421538,34570796,34701490,34713280,34779891,34847695,35026418,35311183,35444594,35508979,35512232,35670583,35787602,35788830,35852348,35914374,36253620,36253954,36440252,36464360,37072578,37198693,37462831,37467415,37499011,37650034,37757695,37877251,38174752,38310130,38670528,38742500,38848754,39052440,39154951,39185634,39712818,39951261,40064034,40147459,40478119,40489951,40566211,40693352,40940215,41022405,41387240,41391938,41641788,41655936,41817234,41861708,42097618,42130099,42210344,42212451,42339511,42491359,42524215,42582956,42605750,42662018,42736940,42794498,42804730,42946596,43099015,43476332,43504344,43757232,43816615,43846760,43933995,44189071,44246695,44316514,44960898,45080239,45088471,45098119,45131043,45309234,45505411,45514172,45780021,45972156,46106215,46337943,46390220,46414951,46491000,46560645,46639738,46666568,46862928,47003852,47059491,47296471,47401651,47440783,47486637,47561025,47732258,48101215,48257751,48402511,48576031,48625663,48735543,48942387,48985196,49044391,49102723,49126898,49128258,49226886,49327605,49590400,49664688,49721311,49883839,49946695,50037740,50346802,50360552,50386423,50401011,50731760,51025411,51029058,51126900,51217640,51263143,51284328,51365676,51524354,51718818,51995779,52302375,52499889,52579938,52601023,52616112,52720794,52840831,52887034,52977991,52996791,53096034,53140990,53195215,53518330,53624252,53865631,54093608,54179695,54500025,54535360,54688951,54701948,55190972,55327458,55333911,55428199,55498220,55624231,55668264,55789200,55862815,55872774,56161759,56246311,56262711,56655621,56702215,57073230,57486271,57619845,57694869,57721458,57824354,57951730,58133360,58203079,58317343,58344914,58356439,58504424,58846834,58886371,58921891,58953943,58970828,59131340,59193126,59508480,59802440,59936034,60040291,60045288,60365602,60488431,60855309,60877543,60878112,60945740,61082211,61124156,61178191,61352280,61461168,62107111,62372899,62532511,62626797,62654618,62667543,62762850,62951815,63068323,63081139,63227695,63475712,63749522,63769188,63834258,64040972,64086092,64192015,64221996,64340143,64472899,64604695,64702759,64879615,64937071,64937852,65007730,65015634,65208872,65400030,65442432,65817477,65925704,66315692,66597864,66602018,66695511,66782311,66947040,67035378,67148360,67243651,67277745,67332643,67441351,67550949,67595863,67939399,68042658,68142511,68178536,68188940,68391271,68487876,69021315,69143814,69228476,69309283,69392695,69394330,69542076,69554419,69760032,70023523,70103743,70178431,70344415,70510461,70700383,70907011,70957608,71410176,71429695,71700163,71703943,71762928,71811751,72063464,72377215,72460183,72606243,72687391,72975631,73134888,73176931,73359981,73457695,73606220,73622736,73683543,74038305,74166417,74187811,74190098,74386279,74922597,75182691,75315420,75541905,75542178,75671431,75873234,75915700,76579628,76700853,76823971,76838972,76840634,76855423,77030418,77219215,77525634,77687372,77799752,77853751,77855538,77855863,78009276,78145640,78480036,78589231,78752791,78821695,78974192,79055858,79088215,79198339,79198418,79407651,79489783,79499962,79698991,79729891,79763551,79827309,79886815,79960834,80284402,80325391,80336448,80421823,80578032,80723623,80733294,81071397,81136802,81214615,81582271,81826728,81842743,81926012,82106143,82276749,82342076,82439479,82487756,82606220,82825578,82898024,83244092,83271234,83273196,83310490,83878723,83941025,84125013,84174130,84244040,84413298,84466508,84476431,84565868,85378471,85436695,85480498,85628503,85715634,85785591,86590234,86747695,86852658,87112231,87197043,87401695,87524721,87913845,87927343,88072562,88149234,88189544,88327464,88597911,88728943,88845966,88946354,89080519,89592051,89978492,90089551,90165178,90185943,90241711,90378504,90386492,90437516,90585379,90650286,90749145,90819043,90959258,91098840,91536199,91551560,91914490,92055069,92282792,92542071,92561474,92566771,92638658,92663058,92737011,92768360,93260277,93336643,93514611,93629215,93657079,93683852,93774768,93831859,94133314,94439743,94586034,94626799,94758248,94774545,94901839,94905858,94909891,95092028,95145740,95452028,95466898,95853511,95864178,95945671,96189490,96357811,96708415,96792418,96799088,97066159,97091695,97136431,97172096,97457538,97728981,98212903,98347471,98452831,98744623,98762792,98848771,98861043,99127464,99213237,99236451,99368397,99383815,99418543,99667148,99787423,99972588,...,281371859351372243427279229373807811538819709177717632425217062327549384796991549293059923315889247424089066696599329609626746155626471832903457566715094100045508062617924918581144590020210949247428046005226048523636107797534060093856544123537784113568807852194522923826253701058619715230649488696153670035825650769367900246798602888088631704294119784422704965866492444337115188905726775670625882732062625742896769491634788648148897633951249010496415738252856399256883140869081619447727189628094127891743657463628973182746603533845298409709352851249619182806791957884120034822836057532380276662495389505501009053499059961405635845076521480080366551125076472556252477432332113409691140289061780310496457541426715555215243416740651841797600388927410556018075219495914775189024522609114055431949027426962125117911791569667985530507740668244430151439301125682152682244554640552375638602921830791111110252725303918668417403750174184687003303377973702429037810569476308577580242785842591923974593853059013345067143557268406794536761844993201911995072229655575723679355764301007834234028630445589218120679262116147788782956825840175364172560605556228465130004610947777621167258933803282187828266278096387949368892976450840036362822244459985339968222678467216177578945926327035952646256426523977463610476424501986182653607928708414230720954160603023644278811639998032966313497344618160572995125236275080666835292413112172501262340874317911824555164817341627256102166097334206378190598850906209039753206657903385148837311248755880450417123243316077836972994089925833970499066059193780058913746754385721200957491281754486804026734373193570649275184174335227332724422897322865843293541144860747894064853390267628352494805472945549918505937044990181626181650244328741044215486434524313491295444859594629135005985418532297357987541241643473825617244724296126548192144520894837783930533215100752474280584515023295509202894390168751184935835584427749814923688797375121112517139323741772782861588057469784914831283437588285731342129235258206700084531136590301218603671102632199222231281853549397173016451889913113513622949313167356314681583419966973897380195011799496600703084777127546274363128493344605458123732125245622713319236221013337108606564687742371347189719167969558221622728820097282465347108825452920909750738112460809074864071369283502001043403827775423393416330046437265817879678866422630177124999088678762222855032772366527567499482151127979972247361567297239540962847846}
15522  2721829501216328887992535837515190818130042219045665041483388974: {170621,434308,449297,620440,697995,712862,744528,837594,943121,1097021,1219997,1281437,1454462,1639502,1680017,1824398,2016221,2138237,2290577,2355544,2503517,2649987,2655377,2850712,2928221,2958497,3207051,3298382,3411677,3562337,3833021,3951735,4013117,4140868,4214942,4215184,4282721,4742082,4878724,5295377,5322712,5625411,5650577,5798237,5855678,5988051,6063521,6181707,6357521,6504221,6621437,6767777,6943121,7051135,7123742,7359175,7380221,7641617,7665038,7818628,7845182,7854951,8352883,8461362,8537021,8831010,8852897,8923022,8938877,9018712,9218335,9396221,9419744,9515895,9567197,9646708,9709457,10073050,10146051,10150288,10248221,10389521,10502417,10530062,10597212,10885598,10904235,10924637,10980797,10984024,11062002,11077495,11093021,11345057,11419074,11594942,11631184,11771918,11902817,11932690,12087660,12097277,12193924,12291495,12319037,12357027,12512657,12654638,12700312,12893504,12919108,12926237,13085082,13110928,13122571,13169050,13292994,13358222,13556897,14004724,14059502,14129021,14287851,14319228,14505192,14727028,14749794,14778557,14967137,15107102,15343121,15744221,15802860,15904157,16318341,16446795,16567457,16841582,16856384,16887028,16936721,17014238,17046700,17099224,17199521,17543248,17566097,18216797,18501521,18746530,18963432,19074878,19236627,19290904,19416302,19426577,19736154,19738082,19792731,20037535,20097422,20107588,20265437,20417021,20456040,20506264,20669021,20895137,20926851,20945297,21170621,21261884,21320477,21333861,21702267,21768317,21819776,22287521,22386017,22463198,22495836,22508957,22533521,22798862,22884567,22950724,23013045,23047517,23069547,23277835,23350695,23412497,23468462,23562775,23667987,23775677,23896337,23980011,23992721,24012148,24045042,24135758,24142744,24209117,24547248,24555651,24711521,24830621,24907408,25068221,25297982,25564577,25752737,25793918,25958942,26104695,26244221,27032477,27110078,27160587,27531508,27615654,27651857,27764824,27845008,27933402,27970721,28005784,28020834,28176175,28197260,28254158,28275330,28310621,28417022,28579742,28625050,28648721,29209624,29280388,29452817,29876318,30114977,30160352,30202721,30227595,30334097,30374120,30835037,30949467,30965021,31073203,31178095,31181021,31235427,31325634,31372504,31506507,31599735,31644062,31738877,31906315,31963598,32121917,32242768,32270177,32328951,32775521,32860827,32963837,33005597,33068177,33077438,33254050,33402908,33706384,33811410,33836712,33930396,33936737,34138948,34170885,34184222,34350060,34487512,34548497,34609277,34750817,34813502,34932221,35032721,35294067,35606683,35631521,35809757,35947937,36065504,36125021,36213835,36273114,36376622,36448944,36632957,36640064,36691217,36934051,36981437,37116257,37198135,37269857,37413714,37574788,37670621,37746557,37919682,38030177,38066301,38287578,38365915,38405537,38540798,38544664,38592017,38694302,38703521,38798451,39008103,39621521,39904860,39911057,39965117,40073021,40281800,40342107,40373342,40501757,40525118,40573692,40679625,40833247,40855517,40873121,40978577,40981828,41005062,41220072,41328017,41639777,41734142,42170621,42335198,42424721,42565184,42634862,42760721,42777437,43027217,43213495,43362747,43381502,43391600,43406717,43456602,43668221,43686724,43749521,43814417,44008337,44056637,44065483,44360068,44376797,44390290,44477464,44567357,44637762,44709521,44716382,44725277,44803937,44815435,44863982,44873787,45011438,45240737,45317025,45452942,45548897,45550315,45580450,45655997,45895384,46039098,46110557,46230557,46372581,46373188,46467987,46469021,46675997,46822877,46910621,47041697,47114237,47215457,47331907,47496158,47530587,47559521,47630621,47718440,47856797,47885832,47983121,48053021,48136637,48338160,48428125,48591377,48686717,48709731,48754577,48815550,48876221,48997217,49277021,49356317,49430104,49653998,49722557,49916177,49939262,50037147,50133437,50486237,50635517,50808221,50866690,51003677,51064337,51074558,51173021,51191371,51364637,51400337,51424097,51459677,51542417,51560704,51632307,51648221,51734050,51779438,51856194,51881021,51919982,52052235,52069920,52099217,52235537,52247512,52327135,52539627,52571297,52659617,52725521,52736477,52762930,52932317,52950424,53166891,53228695,53268348,53418712,53421175,53431457,53566397,53617937,53681403,53683245,53720417,53778522,53842337,53871561,54010862,54072797,54345415,54380430,54380931,54568721,54660378,54696540,54748157,54804221,54808450,54859997,55043837,55445777,55480721,55522384,55523582,55524221,55541248,55608867,55660238,55730237,55756312,55781021,55915037,55939937,55956497,56030621,56152721,56283268,56304797,56320637,56341358,56391521,56475051,56554397,56623121,56691197,56780957,56892715,57057763,57170621,57262128,57281597,57437537,57444221,57465195,57477521,57558302,57576221,57641021,57684991,57711377,57793277,57805757,57830621,57886097,57987775,58005792,58101521,58113750,58165277,58273121,58273131,58333210,58342976,58350737,58574177,58578660,58594721,58695521,58754815,58763582,58769021,58773857,58778451,58817021,58840721,58882877,59018717,59023121,59049377,59088221,59109521,59113757,59147357,59233121,59272721,59292221,59315357,59353277,59364497,59371937,59386721,59490077,59569227,59573777,59589917,59627837,59655521,59656219,59767997,59800157,59870717,59910497,59930621,59947864,59950097,59975057,60048221,60065021,60096051,60110621,60125537,60143551,60174724,60179297,60192317,60197777,60203537,60208157,60213521,60218237,60219197,60220577,60224657,60226721,60229277,60412312,61040028,61231495,61296208,61443283,61530542,61783924,61988000,62050382,62080860,62087907,62462682,62483904,62547175,62725851,62745988,62792562,62825822,62950690,62954558,63055531,63146427,63211598,63315516,63339902,63414700,63874434,63908625,63993027,64022050,64105410,64191747,64207095,64343668,64419894,64615022,64971127,64980724,65214498,65256516,65504344,65635848,65770140,66219584,66474771,66749678,67030315,67201348,67369598,67441347,67616558,67617010,67963851,68038744,68074783,68169200,68271258,68377435,68379104,68487568,68565211,68958234,68958424,68988715,69102418,69207758,69372775,69450398,69585330,69736500,69813278,69959607,69999852,70106584,70154816,70294392,70505778,70662388,70774622,70794712,71598387,72434798,72535771,72666700,72786878,73130530,73370798,73477794,73690347,73692387,73713535,73769944,73778548,73840329,73914175,74224352,74385600,74497032,74753050,75016948,75056610,75520203,75540828,75556862,75803767,75897278,76097640,76182175,76405195,76543587,76686542,76690350,76826460,76926492,76961944,77048514,77165851,77286531,77357438,77578227,78683678,78869907,78924168,79081191,79330551,79344640,79644051,79711485,79773038,79881182,79914712,80051215,80060384,80107615,80277495,80436378,80747443,81061262,81140412,81170816,81172315,81442948,81511090,81697598,81803040,81804151,81908558,81948224,82052922,82407130,82537982,82642382,82786458,82894615,82913467,82991187,83247330,83265758,83502396,83556724,83683800,83809161,83935450,84699202,84700142,84801518,85025584,85112344,85223170,85236175,85507118,85609845,85629328,85707422,86106302,86205662,86417443,86535595,86582187,86687512,86736531,86927595,87200040,87256576,87517371,87756636,87775838,87868027,88270251,88456242,88697010,88789689,88797152,88927348,89119502,89262720,89380504,89403758,89703660,89904051,90061982,90067932,90079330,90548403,90723544,90990062,91317168,91418610,91686234,92007775,92028420,92175038,92191752,92722768,92892158,93013376,93247262,93981927,94013948,94037822,94144275,94610144,94894625,94920979,95213568,95624283,95653782,95668478,95683904,95724535,95751387,95921198,96048715,96061458,96129138,96332994,96808324,97109215,97165358,97249690,97406778,97511595,97513184,97523451,97620754,97682050,97813308,98100045,98163648,98244724,98536238,98694782,98704963,98717740,98888556,99088622,99401102,99473538,99788462,99896796,99903027,...,422057789027058365140918844060711717308229563766576448637825593491324077195487323939589884973833871136133600044898994414440119233439707749355186350072641150068262093926887377871716885030316423871142069007839072785454161696301090140784816185306676170353211778291784385739380551587929572845974233044230505053738476154051850370197904332132947556441179676634057448799738666505672783358590163505938824098093938614345154237452182972223346450926873515744623607379284598885324711303622429171590784442141191837615486195443459774119905300767947614564029276874428774210187936826180052234254086298570414993743084258251513580248589942108453767614782220120549826687614708834378716148498170114536710433592670465744686312140073332822865125110977762696400583391115834027112829243872162783536783913671083147923541140443187676867687354501978295761611002366645227158951688523229023366831960828563457904382746186666665379087955878002626105625261277030504955066960553643556715854214462866370364178763887885961890779588520017600715335902610191805142767489802867992608344483363585519033646451511751351042945668383827181018893174221683174435238760263046258840908334342697695006916421666431750888400704923281742399417144581924053339464676260054544233366689978009952334017700824266368418889490553928969384639785966195415714636752979273980411893062621346081431240904535466418217459997049449470246016927240859492687854412621000252938619668258751893511311476867736832747226012440884153249146001309567285898276359313559629809986855077723255966873133820675625684864974116755459491134888750955748599088790670088370620131578581801436236922631730206040101559790355973912776261502840999086634345984298764940311717291121841097280085401442528742208209418324877758905567485272439272475366493111566323229651786470236943167289391943702508978127798446036981311862465210738425867086444189822288216781342256675895799822651128711420876772534943263804341585253126777403753376641624722385533196062681668775708985612659174292382086204677372246925156382428597013193852887310050126796704885451827905506653948298833346922780324095759524677834869670270434423969751034472022375129950460846070292517699244901054627165691319411544692740016908187185598187868434069978854331520005662909847031613557020784578751954337332434093230145923698020663238179381364626107168691213612296107053925253001565105741663135090124495069655898726819518299633945265687498633018143334282549158549791351249223226691969958371042350945859311444271769}
15523  2733932242742106992153070074489196090557076221443065459399959810: {542885,651462,775550,930660,992704,1069293,1116792,1256391,2061101,2181693,2459253,2494373,2618993,2736597,2944430,3238037,3423953,3533316,3563390,3688286,4276068,4432142,4657373,4947573,5176085,5268980,5794382,6098405,6211302,6322413,6322776,6653390,7113123,7318086,7442513,7500548,7891373,7984068,8242276,8646053,8783517,8881502,9113597,9611021,9773285,10177286,10367621,10473268,10685613,10873301,11112773,11273390,11281816,11472062,11497557,11727942,11767773,11774680,11850917,12058385,12397517,12595022,12631637,12687860,12692043,13246515,13384533,13450853,13528068,13730030,14129616,14250197,14470062,14538980,14631782,14749336,14858021,14961821,15109575,15225432,15242405,15350342,15559157,15795093,15875390,15895818,16116880,16148885,16308542,16328397,16388660,16476036,16487822,16593003,16645733,16879541,17051246,17128611,17392413,17446776,17505905,17585021,17657877,17723992,17898437,17899035,17942981,18131490,18290886,18408785,18893342,18981957,19050468,19092304,19267397,19340256,19378662,19435793,19457486,19627623,19638221,19666392,19753575,19939491,20037333,20055398,20718461,21007086,21070480,21089253,21108785,21124901,21308375,21374030,21478842,21660917,21757788,21793982,21823217,21929060,22055942,22090542,22124691,22603982,22660653,22762982,23505317,23704290,24088238,24113630,24115718,24294221,24364382,24505061,24569813,25134485,25262373,25284576,25330542,25366277,25397333,25514621,25521357,25558421,25570050,25632830,25648836,25901933,26314622,26314872,26390308,26577355,26848421,27218957,27274720,27379313,27450941,27520757,27798878,27842702,27902468,28119795,28169702,28212422,28445148,28612317,28688405,28936356,29124453,29493086,29604231,29607123,29754257,29974661,29994448,30015185,30139757,30146133,30149717,30161382,30176573,30178430,30512756,30524021,30684060,30759396,31134260,31557316,31892826,31973348,32028782,32060056,32522237,32729664,32740868,32891342,33044477,33405062,33520157,33677141,33694797,33726581,33743754,34198293,34414385,34426086,34623206,34706030,34806260,35007230,35158133,35202693,35246575,35675237,36018222,36067563,36069137,36203637,36214116,36512030,36600485,36742478,36820872,36931598,37104701,37244536,37361112,37503917,37700440,37746437,37946973,37967650,38037077,38263397,38585237,38690877,38917781,38938413,39215630,39216593,40158461,40303460,40483421,40665117,40966481,41265956,41297262,41423481,41630513,41647236,41753635,41767512,41900103,41901446,41965157,42008676,42031251,42132980,42295890,42381237,42412995,42625533,42673685,42845582,42869613,42937575,42980102,43105268,43109390,43251341,43814436,43920582,44317013,44404853,44814477,44904533,45000902,45081880,45115616,45240528,45433421,45561180,45716573,45800080,45972917,46274033,46331621,46334222,46741373,46854062,46968485,46988451,47058756,47446997,47459486,47466093,47837777,47945397,48180830,48189221,48364152,48582086,48598592,48786773,49109117,49616157,49790117,49881075,49884952,50104362,50241953,50352250,50353358,50384582,50392997,50559576,50717115,50755068,50895594,51022598,51050104,51208422,51227285,51276333,51525090,51731268,51783581,51905918,51979157,52010804,52126766,52220253,52317197,52330157,52374062,52454381,52860773,53206480,53297777,53307077,53634182,53789476,53934302,54098256,54239500,54409671,54564933,54608405,54673416,54854033,54960096,55450085,55570877,55596830,56020133,56120571,56362182,56879523,57294101,57307121,57316301,57369230,57431367,57811197,57816996,57942136,57961553,57966485,58041453,58624613,58901357,59109038,59132222,59473361,59500766,59517016,59533901,59648050,59831716,59857290,59926622,60338621,60373478,60422700,60560013,60787677,60860538,61040078,61343261,61385464,61449557,61472742,61507593,61787630,61830108,61945373,61957316,62015441,62115317,62381021,62601213,62610353,63374116,63502797,63772997,63847776,63952293,64162493,64274513,64370438,64442117,64450880,64548701,64946308,65072253,65087400,65184903,65309390,65530086,65889701,66188030,66289037,66366542,66397886,66472913,66540102,66585435,66658421,66716196,66773390,66956643,67045742,67074573,67295973,67341701,67517157,67604717,67947773,68104733,68156486,68179413,68370675,68471342,68701937,68719262,68785457,68843076,69058647,69141592,69402980,69426560,69559782,69695390,69886421,69889277,69925373,70052836,70354085,70622366,70731173,70889188,71017958,71024464,71244237,71341166,71575204,71577660,71704696,71828748,72171941,72469637,72507240,72507908,72787517,72880504,72928720,73223325,73399313,74130677,74145156,74197517,74397386,74420693,74473301,74480997,74550437,74908893,74925662,74934830,74998022,75218405,75238253,75300068,75515390,75754502,75851573,76159277,76300035,76349504,76466897,76611837,76620260,77229905,77341056,77457437,77485000,77601075,77669157,77697508,77784291,77804081,77879973,78104880,78207941,78309902,78355733,78371268,78432485,78434717,79032593,79144395,79268375,79323581,79383101,79425636,79902522,80128068,80139701,80292017,80294918,80377937,80429585,80432357,80667783,80841953,80956238,80979902,81016293,81132422,81225905,81386704,81390461,81570645,81880430,81944033,81990567,82044810,82155797,82200677,82212675,82406357,82774480,82783876,83283576,83285373,83311872,83460017,83490357,83634468,83723416,84001685,84195236,84260198,84420688,84424902,84512037,84580637,84679022,84868433,84971837,84982718,85048430,85165912,85211500,85324036,85473880,85489253,85588996,85609460,85893192,86198030,86227157,86337453,86460917,86952664,87008688,87170625,87499815,87514464,87633230,87693520,87867990,87911057,88132541,88145373,88327985,88378142,88493390,88518773,88633028,88740497,89046161,89429873,89775437,89868821,89921796,90160478,90176942,90196238,90262086,90446573,90618468,90831461,90833375,91010822,91028344,91471301,91533917,91560042,91618181,91944312,92212430,92223185,92295813,92675886,92780440,92829902,92982000,93075573,93121290,93279476,93333136,93348797,93598037,93694023,93725856,93771185,94007704,94118982,94188843,94238733,94426035,94431837,94452221,94592942,94639121,94656101,94803302,94817397,94881566,94914221,94973274,95009853,95122050,95422997,95464516,95811651,96033075,96158115,96202430,96500597,96515502,96629841,96805022,96922533,97149773,97152062,97251326,97471086,97821747,97884774,97970392,98018513,98088782,98205446,98225717,98253796,98256516,98453772,98482181,98655210,98757557,99047453,99180800,99329376,99442622,99531197,99767678,99800417,99818141,99893390,...,562743718702744486854558458747615623077639418355435264850434124655098769593983098586119846631778494848178133393198659219253492311252943665806915133430188200091016125235849837162289180040421898494856092010452097047272215595068120187713088247075568227137615704389045847652507402117239430461298977392307340071651301538735800493597205776177263408588239568845409931732984888674230377811453551341251765464125251485793538983269577296297795267902498020992831476505712798513766281738163238895454379256188255783487314927257946365493207067690596819418705702499238365613583915768240069645672115064760553324990779011002018106998119922811271690153042960160733102250152945112504954864664226819382280578123560620992915082853431110430486833481303683595200777854821112036150438991829550378049045218228110863898054853924250235823583139335971061015481336488860302878602251364305364489109281104751277205843661582222220505450607837336834807500348369374006606755947404858075621138952617155160485571685183847949187706118026690134287114536813589073523689986403823990144459311151447358711528602015668468057260891178436241358524232295577565913651680350728345121211112456930260009221895555242334517867606564375656532556192775898737785952901680072725644488919970679936445356934432355157891852654071905292512853047954927220952849003972365307215857416828461441908321206047288557623279996065932626994689236321145990250472550161333670584826224345002524681748635823649110329634683254512204332194668412756381197701812418079506413315806770297674622497511760900834246486632155673945988179851667940998132118387560117827493508771442401914982563508973608053468746387141298550368348670454665448845794645731686587082289721495788129706780535256704989610945891099837011874089980363252363300488657482088430972869048626982590889719189258270011970837064594715975082483286947651234489448592253096384289041789675567861066430201504948561169030046591018405788780337502369871671168855499629847377594750242225034278647483545565723176114939569829662566875176571462684258470516413400169062273180602437207342205264398444462563707098794346032903779826227027245898626334712629363166839933947794760390023598993201406169554255092548726256986689210916247464250491245426638472442026674217213129375484742694379438335939116443245457640194564930694217650905841819501476224921618149728142738567004002086807655550846786832660092874531635759357732845260354249998177357524445710065544733055134998964302255959944494723134594479081925695692}
15524  2746088374153854593510736010729098714353341988200775414413844020: {201643,341242,480283,868616,898594,977193,1127923,1163325,1240880,1395990,1425724,1489056,1496419,1675188,1886242,2194042,2321323,2439994,2503843,2562874,2908924,2958883,3231043,3279004,3360034,3648796,4032442,4276474,4313203,4416645,4581154,4671619,4711088,5007034,5028883,5118019,5299974,5310754,5345085,5532429,5701424,5856442,5916994,6414102,6534403,6586225,6596764,6648213,6823354,6973243,7124674,7666042,7903470,8026234,8105803,8281736,8429884,8430368,8565442,8624419,8691573,8968723,9316953,9375685,9484164,9757448,9871589,9980085,9994723,10302845,10590754,10645424,10757419,10977129,11178619,11250822,11301154,11596474,11598019,11711356,11932243,11976102,12127042,12363414,12715042,12905669,13008442,13091585,13242874,13322253,13535554,13886242,14076619,14102270,14247484,14402203,14718350,14760442,14807563,15265929,15283234,15330076,15372043,15508493,15637256,15690364,15693019,15709902,15773083,15859825,16092619,16172323,16705766,16910085,16922724,17074042,17201923,17208093,17591913,17594683,17662020,17705794,17846044,17877754,18037424,18173725,18436670,18529963,18792442,18839419,18839488,18892533,19031790,19134394,19293416,19418914,19531483,20146100,20292102,20300576,20445163,20485825,20496442,20595045,20779042,21004834,21060124,21194424,21705093,21771196,21808470,21849274,21947673,21961594,21968048,22124004,22154990,22186042,22536763,22690114,22838148,23025513,23189884,23262368,23415883,23543836,23805634,23813085,23843727,23865380,24175320,24194554,24387848,24462813,24582990,24638074,24714054,24715123,24731733,25025314,25071883,25309276,25400624,25576869,25787008,25838216,25852474,26170164,26221856,26245142,26271403,26338100,26585988,26716444,26898019,27113794,27174643,27197235,27411325,27436329,27997603,28009448,28052549,28119004,28258042,28337443,28340013,28575702,28638456,28675483,29010384,29067993,29186229,29454056,29499588,29557114,29934274,30083097,30214204,30686242,30861403,30926419,31250419,31488442,31510629,31605720,31808314,32061045,32218263,32588969,32636682,32690973,32780563,32893590,32987885,33083913,33094123,33134914,33135813,33156619,33683164,33712768,33774056,33777619,33873442,33905973,34028476,34093400,34144473,34198448,34330363,34399042,34452403,34878085,35086496,35132194,35298619,35556435,35656963,36132357,36170445,36173577,36433594,36483019,36546573,37003042,37294963,37493060,37923019,37926864,37995813,38140945,38149756,38205619,38355075,38449245,38473254,38581808,38832604,38853154,38917825,39263083,39446645,39471933,39472308,39476164,39585462,39966685,40075070,40079563,40194844,40215176,40455043,40530874,40834042,40879843,40912080,40926085,41012528,41338042,41698317,41764053,41790274,41853702,41890594,42228619,42254553,42318633,42341242,42523768,42640954,42667722,42684163,42784603,43233019,43404534,43507825,43536634,43639552,43649333,43675603,43724419,44239629,44495683,44575042,44668841,44732923,44772034,44921419,44926396,44991672,45017914,45067042,45242073,45267645,45387619,45572083,45597724,45769134,45901448,46026090,46095034,46139094,46253563,46298419,46521619,46555670,46701390,46824994,46936924,47125550,47335974,47551354,47792674,47839239,47960022,47985442,48024296,48043173,48075523,48090084,48271516,48285488,48418234,48449419,48695443,49094496,49111302,49219603,49337013,49423042,49661242,49814816,50040619,50107593,50136442,50379325,50382763,50595964,50607619,50615631,50644843,50699369,51129154,51481123,51505474,51552043,51582445,51587836,51639129,51832843,51917884,51934809,52059045,52077389,52209390,52380619,52488442,52510845,52581283,52666225,52680643,52746523,53514619,53712281,53881585,54027333,54064954,54093283,54220156,54294757,54321174,54416419,54730843,54768045,54815083,55063016,55113717,55231308,55303714,55386619,55397397,55529648,55673323,55690016,55750003,55800763,55866804,55941442,56011568,56041668,56148019,56172283,56352350,56363803,56394520,56504419,56508316,56550660,56621242,56710483,56834044,56866723,56951475,57159484,57250100,57297442,57456403,57555763,57595003,57953419,58218019,58235083,58302619,58319323,58385419,58419248,58450363,58560776,58607683,58786963,58823445,58905634,58983019,59036443,59127163,59250643,59309683,59476003,59607043,59663419,59751619,59752636,59940619,59947243,59973019,60064603,60183619,60208243,60212923,60219403,60229954,60320704,60405442,60455190,60498893,60668194,60748240,61670074,61898934,61930042,61945893,62146406,62356190,62362042,62470854,62651268,62741609,62745008,62852169,63013014,63199470,63288124,63443835,63477754,63770441,63812630,63927196,64243834,64268373,64470153,64485536,64540354,64657902,64664085,65013505,65551042,65721654,65880873,65927674,66011194,66136354,66154876,66508100,66549373,66805816,67236845,67412768,67501353,67622820,67673424,67799375,67860792,67873474,68277896,68341770,68368444,68700120,68975024,69096994,69218554,69501333,69501634,69627004,69864442,70065442,70281093,70588134,71189229,71213366,71263042,71619514,71895874,72131008,72250042,72271245,72427670,72546228,72614789,72753244,72873129,72897888,73257989,73265914,73280128,73382434,73868102,73962874,74232514,74396270,74520173,74539714,74789645,74827428,75149576,75156543,75341242,75493114,75528375,75530037,75576873,75839364,76018849,76060354,76083581,76132602,76343391,76533897,76575156,76702021,76731830,76811074,76812633,77081596,77089328,77184034,77287635,77388604,77407042,77446645,77596902,77858877,78016206,78190149,78561093,79217645,79243042,79649801,79809720,79822114,79930234,80146042,80451273,80563600,80684214,80746684,80901453,81003514,81031613,81050236,81147384,81182885,81359250,81666494,81711034,81746242,81957154,81963656,82010124,82256741,82440144,82656034,83279554,83395245,83468284,83877541,84341242,84543273,84670396,84849442,85130368,85269724,85521442,85554874,85724093,86053845,86054434,86426990,86725494,86753725,86763004,86783200,86813434,86913204,87336442,87373448,87499042,87566045,87628834,88016674,88113274,88130966,88611485,88663557,88698333,88720136,88753594,88780580,88954928,89134714,89251149,89275524,89419042,89432764,89450554,89469005,89472075,89607874,89630870,89727964,89747574,89785935,89889933,90002473,90022876,90481474,90560217,90634050,90634885,90905884,91097794,91100630,91160900,91290807,91311994,91560117,91790768,92078196,92209113,92221114,92461114,92681445,92745162,92746376,92935974,92938042,93351994,93645754,93821242,93842441,94083394,94125085,94228474,94430914,94663814,94992316,95061174,95119042,95261242,95436880,95713594,95728409,95771664,95775325,95966242,96106042,96273274,96555657,96584201,96676320,96677633,96856250,97121885,97182754,97373434,97419462,97509154,97631100,97752442,97964085,97994434,98295129,98554042,98712634,98860208,99282045,99307996,99445114,99549813,99596829,99810153,99832354,99878524,...,844115578054116730281837688121423434616459127533152897275651186982648154390974647879179769947667742272267200089797988828880238466879415498710372700145282300136524187853774755743433770060632847742284138015678145570908323392602180281569632370613352340706423556583568771478761103175859145691948466088461010107476952308103700740395808664265895112882359353268114897599477333011345566717180327011877648196187877228690308474904365944446692901853747031489247214758569197770649422607244858343181568884282383675230972390886919548239810601535895229128058553748857548420375873652360104468508172597140829987486168516503027160497179884216907535229564440241099653375229417668757432296996340229073420867185340931489372624280146665645730250221955525392801166782231668054225658487744325567073567827342166295847082280886375353735374709003956591523222004733290454317903377046458046733663921657126915808765492373333330758175911756005252211250522554061009910133921107287113431708428925732740728357527775771923781559177040035201430671805220383610285534979605735985216688966727171038067292903023502702085891336767654362037786348443366348870477520526092517681816668685395390013832843332863501776801409846563484798834289163848106678929352520109088466733379956019904668035401648532736837778981107857938769279571932390831429273505958547960823786125242692162862481809070932836434919994098898940492033854481718985375708825242000505877239336517503787022622953735473665494452024881768306498292002619134571796552718627119259619973710155446511933746267641351251369729948233510918982269777501911497198177581340176741240263157163602872473845263460412080203119580711947825552523005681998173268691968597529880623434582243682194560170802885057484416418836649755517811134970544878544950732986223132646459303572940473886334578783887405017956255596892073962623724930421476851734172888379644576433562684513351791599645302257422841753545069886527608683170506253554807506753283249444771066392125363337551417971225318348584764172409354744493850312764857194026387705774620100253593409770903655811013307896597666693845560648191519049355669739340540868847939502068944044750259900921692140585035398489802109254331382638823089385480033816374371196375736868139957708663040011325819694063227114041569157503908674664868186460291847396041326476358762729252214337382427224592214107850506003130211483326270180248990139311797453639036599267890531374997266036286668565098317099582702498446453383939916742084701891718622888543538}
15525  2758298129110747166572133816095802161506207025269336177873782245: {511863,760039,1085770,1302924,1347891,1551100,1782155,1861320,1985408,2093985,2138586,2233584,2512782,2829363,2897939,3291063,3636155,3659991,3826771,3844311,4098755,4122202,4363386,4560995,4918506,4988746,5040051,5237986,5473194,5888860,6048663,6414711,6476074,6847906,6871731,6978323,7066632,7126780,7246519,7376572,7510551,7949961,7966131,7996439,8245955,8537767,8552136,8784663,8864284,8875491,9013763,9314746,9621153,9895146,10235031,10320491,10352170,10537355,10537960,10687011,10780499,11499063,11588764,11855205,12039351,12060983,12196810,12252643,12353339,12422604,12644826,12645552,12848163,13007747,13306780,13682599,14226246,14579723,14636172,14639195,14651611,14885026,15001096,15782746,15886131,15968136,16484552,16876233,16881739,16951731,17123843,17292106,17394711,17567034,17763004,17809355,17964153,18190563,18227194,18545121,19072563,19143443,19162595,19222042,19512663,19546570,19612955,19653847,19864311,20303331,20354572,20596183,20735242,20829363,20946536,20956151,21152419,21153405,21339367,21371226,21746602,22077525,22140663,22166903,22225546,22307555,22546780,22563632,22608439,22924851,22944124,22995114,23155927,23173139,23455884,23535546,23549360,23564853,23701834,23735891,24116770,24508267,24795034,25058649,25182625,25190044,25263274,25375720,25384086,25611063,25772299,25959683,26325155,26493030,26558691,26769066,26816631,26901706,27056136,27213995,27460060,27655005,27779011,28014419,28188663,28259232,28500394,28546711,28547685,28701591,28940124,28987355,29077960,29128371,29263564,29429795,29498672,29552299,29716042,29831725,29923642,30153643,30219150,30438153,30450864,30484810,30700684,30744663,31118314,31168563,31507251,31550411,31590186,31636595,31750780,31791636,32041879,32233760,32297770,32524531,32617084,32656794,32712705,32773911,32777320,32922625,32942391,32952072,32975644,33186006,33232485,33279063,33291466,33395555,33759082,34035171,34102492,34244579,34257222,34784826,34818739,34893552,35011810,35148755,35170042,35188279,35315754,35447984,35708451,35776523,35796874,35798070,35885962,36073843,36262980,36291831,36581772,36817570,36874485,36957111,37071081,37099091,37208297,37537971,37767755,37786684,37963914,38100936,38171639,38184608,38435371,38534794,38680512,38757324,38778711,38871586,38904347,38914972,39255246,39276442,39332784,39367713,39507150,39614731,39878982,40074666,40110796,40163767,40670691,41436922,42014172,42021259,42103955,42140960,42141143,42178506,42217570,42249802,42387063,42535595,42616750,42748060,42863553,42957684,43321834,43515576,43587964,43646434,43858120,44111884,44181084,44249382,44322811,44335671,44867243,44901411,45207964,45321306,45525964,45786067,46029363,46646147,46866325,47010634,47085203,47232663,47408580,47687195,47712471,47844043,48176476,48180139,48196451,48227260,48231436,48540755,48588442,48728764,48955023,49010122,49139626,49143463,49340385,49345205,49702371,50243555,50268970,50410091,50524746,50569152,50661084,50732554,50794666,50810163,51029242,51042714,51116842,51140100,51240679,51265660,51297672,51598563,51803866,52409603,52629244,52629744,52698291,52780616,53154710,53694043,53696842,54437914,54549440,54650391,54758626,54901882,55041514,55238299,55504563,55597756,55685404,55804936,56152771,56157995,56239590,56339404,56424844,56890296,56997155,57224634,57376810,57709881,57872712,57875767,57953963,58248906,58279731,58455089,58671155,58870163,58986172,59208462,59214246,59378193,59508514,59743159,59949322,59988896,60030370,60112605,60279514,60292266,60299434,60322764,60339395,60353146,60356860,60796311,60994091,61021307,61025512,61048042,61251063,61368120,61518792,61844731,62007063,62037947,62268520,62685411,62780553,62835891,63114632,63244955,63511863,63701003,63746903,63785652,63946696,63961431,64001583,64057564,64120112,64484795,64897355,65044474,65106801,65304951,65459328,65481736,65755879,65782684,66088954,66470227,66810124,66862563,67040314,67158051,67354282,67389594,67453162,67458899,67487508,67526871,67600563,67775195,68396586,68536123,68653701,68828770,68852172,69039135,69090199,69142551,69208641,69246412,69412060,69612520,69833505,70014460,70052085,70237491,70316266,70405386,70493150,70635395,70688325,71003961,71042555,71327031,71350474,71449355,71508503,71562625,71689011,71718199,71940033,71978163,72036444,72053251,72135126,72138274,72181339,72407274,72428232,72561611,72627351,72739379,72994619,73024060,73200970,73409011,73484956,73641744,73666953,73863196,74134563,74209402,74238347,74489072,74491863,74690795,74722224,75007834,75204663,75330551,75400880,75492874,75893946,75935300,76074154,76333763,76451767,76526794,76693731,77170474,77258211,77381754,77467543,77545703,77630119,77835562,77876826,78314085,78431260,78433186,78732663,78939907,79110155,79908995,80316922,80606920,80744627,80966842,81097431,81153079,81330234,81481761,81826571,81932962,82531912,82593043,82594524,82693595,82846962,82955571,83135125,83261026,83294472,83507270,83535024,83800206,83802892,83900711,83912163,83930314,84017352,84062502,84265960,84528525,84591780,84762474,84825990,84931863,85251066,85347370,85460555,85691164,85739226,85875150,85921243,85946163,85960204,86021611,86210536,86218780,86502682,87033755,87403187,87628872,87841164,88358451,88634026,88655767,88656091,88809706,89057779,89434739,89628954,89809066,90001804,90163760,90231232,90344931,90352771,90481056,90608163,90682785,90866842,90941555,91002291,91122360,91433146,91600160,91641539,91945834,91985051,92454347,92505111,92548066,92591543,92663242,92668444,92848401,92895063,93219609,93482746,93534285,93543063,93706281,93708124,93936970,93976902,94117512,94246571,94519521,94799205,94893994,94918972,94932186,95216631,95675554,95718945,95890794,96351995,96361660,96365751,96378442,96513163,96728304,96735755,96810531,96961367,96986853,97164172,97197184,97389331,97573546,98218234,98326563,98495719,98582481,98891511,99016791,99204531,99232314,99544183,99580234,99762150,99769904,99831139,...,1266173367081175095422756532182135151924688691299729345913476780473972231586461971818769654921501613408400800134696983243320357700319123248065559050217923450204786281780662133615150655090949271613426207023517218356362485088903270422354448555920028511059635334875353157218141654763788718537922699132691515161215428462155551110593712996398842669323539029902172346399215999517018350075770490517816472294281815843035462712356548916670039352780620547233870822137853796655974133910867287514772353326423575512846458586330379322359715902303842843692087830623286322630563810478540156702762258895711244981229252774754540740745769826325361302844346660361649480062844126503136148445494510343610131300778011397234058936420219998468595375332933288089201750173347502081338487731616488350610351741013249443770623421329563030603062063505934887284833007099935681476855065569687070100495882485690373713148238559999996137263867634007878316875783831091514865200881660930670147562643388599111092536291663657885672338765560052802146007707830575415428302469408603977825033450090756557100939354535254053128837005151481543056679522665049523305716280789138776522725003028093085020749264999295252665202114769845227198251433745772160018394028780163632700100069934029857002053102472799105256668471661786908153919357898586247143910258937821941235679187864038244293722713606399254652379991148348410738050781722578478063563237863000758815859004776255680533934430603210498241678037322652459747438003928701857694829077940678889429960565233169767900619401462026877054594922350266378473404666252867245797266372010265111860394735745404308710767895190618120304679371067921738328784508522997259903037952896294820935151873365523291840256204327586226624628254974633276716702455817317817426099479334698969688955359410710829501868175831107526934383395338110943935587395632215277601259332569466864650344026770027687399467953386134262630317604829791413024755759380332211260129924874167156599588188045006327126956837977522877146258614032116740775469147285791039581558661930150380390114656355483716519961844896500040768340972287278574033504609010811303271909253103416067125389851382538210877553097734703163881497073958234634078220050724561556794563605302209936562994560016988729541094840671062353736255863011997302279690437771094061989714538144093878321506073640836888321161775759004695317224989405270373485208967696180458554898901835797062495899054430002847647475649374053747669680075909875113127052837577934332815307}
15526  2770561742286459352894398113388011791664450196887058438608493969: {403286,449413,682484,820069,912553,960566,1281769,1628655,1737232,1741669,1797188,1938875,1954386,2255846,2291173,2326650,2481760,2564953,2791980,2851448,2978112,2992838,3019813,3207879,3350376,3472873,3653593,3769173,3772484,3924133,4014169,4388084,4463269,4642646,4879988,5007686,5125748,5356069,5817848,5888293,5917766,6183303,6329833,6462086,6545079,6558008,6681769,6720068,6769573,7297592,7361075,7377759,7483119,7643653,7856979,8064884,8209791,8337733,8510533,8552948,8626406,8769193,8833290,8908475,9162308,9220715,9343238,9422176,9626713,9714111,9797353,10014068,10057766,10137769,10236038,10271859,10599948,10621508,10690170,10983769,11064858,11080355,11402848,11404069,11712884,11833988,11906053,12156073,12571333,12828204,12984793,13068806,13125959,13172450,13193528,13296426,13646708,13946486,13972119,14214373,14249348,14295769,14423983,14485955,14842719,15332084,15528255,15806940,15908569,16052468,16211606,16563472,16633475,16859768,16860736,17130884,17248838,17383146,17492569,17937446,18195973,18273769,18295215,18328219,18633906,18739033,18751370,18967239,18968328,19355353,19432069,19514896,19743178,19960170,19989446,20271193,20605690,20621183,20951269,21181508,21290848,21339369,21514838,21774553,21954258,22203755,22327539,22357238,22441669,22501644,22515433,22602308,23102953,23192948,23196038,23422712,23467813,23674119,23864486,23952204,24254084,24726828,25265113,25430084,25443215,25619173,25811338,25938159,25971433,26016884,26041669,26183170,26350551,26461573,26485748,26644506,26740069,27071108,27086569,27340791,27362473,27499993,27772484,27774169,27842533,28153238,28183475,28204540,28494968,28522213,28680155,28804406,28833063,29319855,29436700,29461669,29520884,29615126,30058153,30387013,30518053,30531858,30566468,30660152,30744086,30844393,31016986,31102863,31274512,31380728,31386038,31419804,31487555,31491673,31546166,31684453,31719650,31748569,32056839,32185238,32322373,32344646,32619903,33015769,33338319,33411532,33700453,33820170,33845448,33947269,34148084,34325075,34403846,34416186,34492671,35183826,35189366,35303319,35324040,35411588,35552751,35692088,35755508,35998693,36074848,36175155,36347450,36410713,36579455,36873340,37059926,37166533,37192551,37568473,37584884,37678838,37678976,37785066,37796569,37894911,38063580,38076129,38268788,38375855,38417893,38586832,38837828,39062966,39470569,39688475,39739545,39960133,40153599,40292200,40336873,40352559,40550569,40584204,40601152,40603813,40771355,40890326,40971650,40992884,41190090,41219555,41289433,41341669,41558084,42009668,42120248,42388848,42421993,42573733,42628115,42750591,42875269,43074853,43124569,43410186,43421353,43542392,43616940,43698548,43895346,43910233,43923188,43936096,44248008,44309980,44372084,44574063,44885463,45073526,45328725,45380228,45564613,45676296,45702313,45727215,46051026,46156633,46183039,46379768,46524736,46677471,46692313,46831766,47043673,47087269,47087672,47233355,47260933,47385279,47611268,47626170,47687454,47730760,47944069,48153769,48350640,48389108,48446655,48608773,48643715,48775696,48829319,48925626,48985191,49014853,49165980,49276148,49334533,49428108,49430246,49463466,49766569,49779009,49921513,49937199,50050628,50138495,50143766,50492293,50529769,50618552,50638623,50716069,50753113,50801248,51153738,51385833,51407593,51443269,51574016,51585253,51676432,51704948,52175833,52177239,52277893,52340328,52443712,52446553,52490284,52517715,52542806,52676200,52755063,52843993,52973631,53167273,53171976,53397323,53432888,53435075,53638693,53695311,53697105,53796038,53828943,53883493,54064069,54093913,54212569,54227588,54349286,54359269,54394470,54484955,54618793,54647269,54822650,54872658,55139855,55225303,55226355,55228633,55752793,55879333,55953359,55979269,55995206,56018896,56105098,56238008,56343769,56438233,56509955,56516084,56600773,56674886,56680026,56782213,56804569,56907455,56937193,56945871,57109993,57151404,57257413,57276912,57296519,57319513,57340069,57350966,57461893,57541669,57802191,57830569,58020768,58032133,58039223,58085593,58120873,58135986,58173253,58190569,58276069,58307379,58372458,58376293,58824169,58882869,58908112,58914663,58999176,59045353,59110693,59114228,59174233,59260725,59295913,59388073,59399269,59443333,59454169,59517673,59548453,59655769,59701669,59796313,59818473,59828569,59868548,59979013,60004069,60033769,60056233,60111999,60155269,60166194,60170533,60187993,60203653,60220595,60229573,60233893,60239833,60249769,60251173,60256069,60260569,60284075,60289295,60428408,60910955,61372484,61722806,61852838,62155383,62500838,62976884,63021258,63211440,63267759,63326355,63374703,63616628,63925125,64082075,64122090,64166531,64436526,64982751,65177938,65273364,65381946,65469651,65561126,65786555,65787180,65975770,66167826,66188246,66269828,66271626,66313238,66374073,67366328,67425536,67548112,67555238,67746884,67811946,67981959,68056952,68186800,68288946,68396896,68660726,68798084,68904806,69245759,69497195,69606755,69756170,70172992,70264388,70424255,70515951,70531055,70597238,71112870,71313926,72215423,72264714,72340890,72347154,72867188,72882663,72966038,73093146,73515183,73709439,73732715,74006084,74378711,74589926,74986120,75403455,75434219,75446075,75787119,75846038,75853728,75991626,76098831,76191999,76281890,76299512,76411238,76543863,76564071,76675263,76710150,76898490,76946508,77163616,77665208,77705799,77706308,77835650,78526166,78649259,78893290,78943866,78944616,78952328,79170924,79732065,79933370,80071955,80150140,80159126,80389688,80430352,80443583,80545263,80910086,81061748,81656871,81668084,81759686,81824160,81852170,82025056,82137939,82228355,82352823,82562271,82676084,83396634,83512655,83528106,83580548,83707404,83781188,84359385,84457238,84509106,84637266,84682484,84962243,85047536,85281908,85335444,85368326,85569206,85836951,86065215,86466038,86558015,86765075,86809068,87015650,87073268,87279104,87298666,87351206,87373359,87448838,87518075,88479258,88812693,88821369,88991366,89150084,89262771,89337682,89465846,89544068,89662199,89842838,89852792,89923983,89983344,90035828,90045555,90134084,90419271,90438399,90449151,90484146,90529719,90535290,90647843,90775238,91018907,91144166,91195448,91280075,91538268,91572063,91802896,91856195,92052180,92190068,92278188,92328995,92507126,92596838,93043238,93111340,93402780,93649988,93745487,93873848,94131583,94251100,94671948,94919125,95102708,95585348,95678478,95920044,95970884,96048592,96086346,96151046,96180168,96543032,96570976,96836468,96898838,97390886,97566711,98039075,98188992,98222604,98439206,98674026,98846084,99087263,99128003,99133431,99322484,99629632,...,1688231156108233460563675376242846869232918255066305794551302373965296308781949295758359539895335484544534400179595977657760476933758830997420745400290564600273048375707549511486867540121265695484568276031356291141816646785204360563139264741226704681412847113167137542957522206351718291383896932176922020214953904616207401480791617328531790225764718706536229795198954666022691133434360654023755296392375754457380616949808731888893385803707494062978494429517138395541298845214489716686363137768564767350461944781773839096479621203071790458256117107497715096840751747304720208937016345194281659974972337033006054320994359768433815070459128880482199306750458835337514864593992680458146841734370681862978745248560293331291460500443911050785602333564463336108451316975488651134147135654684332591694164561772750707470749418007913183046444009466580908635806754092916093467327843314253831617530984746666661516351823512010504422501045108122019820267842214574226863416857851465481456715055551543847563118354080070402861343610440767220571069959211471970433377933454342076134585806047005404171782673535308724075572696886732697740955041052185035363633337370790780027665686665727003553602819693126969597668578327696213357858705040218176933466759912039809336070803297065473675557962215715877538559143864781662858547011917095921647572250485384325724963618141865672869839988197797880984067708963437970751417650484001011754478673035007574045245907470947330988904049763536612996584005238269143593105437254238519239947420310893023867492535282702502739459896467021837964539555003822994396355162680353482480526314327205744947690526920824160406239161423895651105046011363996346537383937195059761246869164487364389120341605770114968832837673299511035622269941089757089901465972446265292918607145880947772669157567774810035912511193784147925247449860842953703468345776759289152867125369026703583199290604514845683507090139773055217366341012507109615013506566498889542132784250726675102835942450636697169528344818709488987700625529714388052775411549240200507186819541807311622026615793195333387691121296383038098711339478681081737695879004137888089500519801843384281170070796979604218508662765277646178770960067632748742392751473736279915417326080022651639388126454228083138315007817349329736372920583694792082652952717525458504428674764854449184428215701012006260422966652540360497980278623594907278073198535781062749994532072573337130196634199165404996892906767879833484169403783437245777087076}
15527  2782879449373534766872226934058283098214641600922194583754626961: {15527,604929,853105,1023726,1440849,1520078,2171540,2246485,2495017,2605848,2695782,2931579,3102200,3238873,3383769,3424837,3489975,3564310,3722640,3919729,3970816,4187970,4277172,4467168,4477477,4489257,4715605,5025564,5090617,5485105,5658726,5738257,5795878,6099985,6385393,6407185,6582126,6963969,7272310,7318729,7319982,7511529,7653542,7688622,8197510,8244404,8247109,8400085,8726772,8876649,9121990,9450337,9693129,9732517,9837012,9977492,10080102,10081105,10475972,10652629,10691185,10946388,11032249,11306377,11452885,11544337,11777720,12048793,12097326,12400729,12517585,12829422,12939609,12952148,13162417,13249935,13276885,13695812,13743462,13806673,13904833,13956646,14014857,14133264,14253560,14253889,14493038,14641105,14752297,14753144,14792485,15021102,15086649,15103033,15290929,15354057,15497353,15899922,15932262,15992878,16035255,16491910,16589653,16597287,17058385,17075534,17104272,17462929,17569326,17589577,17728568,17750982,17811685,18027526,18629492,18634873,18834769,19165105,19242306,19603209,19758675,19790292,19944639,20065585,20237269,20470062,20494873,20640982,20704340,20919729,21059713,21074710,21075920,21374022,21413605,21560998,21666529,21767497,22624069,22998126,23177528,23511433,23710410,24078702,24121966,24317409,24393620,24505286,24706678,24845208,24933097,25289652,25291104,25372849,25416037,25696326,25873257,26015494,26074719,26197249,26416129,26476885,26524993,26613560,26827633,26855377,26906169,27226009,27365198,27386437,27458137,27950859,28127055,28196113,28252885,28452492,28538053,28991185,29159446,29272344,29278390,29303222,29614767,29750953,29770052,29940255,29984169,30002192,30317605,30908535,31230577,31310233,31565492,31764193,31772262,31787605,31936272,32272257,32521105,32931387,32969104,33107185,33196273,33211897,33535857,33752466,33763478,33838885,33903462,34247686,34584212,34715605,34789422,34794057,35134068,35255675,35526008,35618710,35796729,35803717,35928306,36381126,36454388,36484969,36795875,36855217,36901105,37090242,37317913,38099593,38145126,38176633,38208085,38273353,38286886,38325190,38428657,38444084,38507953,38717007,38909413,39025326,39093140,39225910,39274755,39307694,39426553,39657649,39728622,39966759,40001209,40163233,40582297,40606662,40709144,41192366,41201713,41470484,41658726,41764415,41893072,41912302,42229857,42304838,42306810,42678734,42685105,42742452,43137193,43206609,43323013,43481329,43493204,44155050,44264485,44281326,44291233,44333806,44422689,44451092,44615110,44694385,44916217,45093560,45111937,45127264,45216878,45797787,45849702,45888248,45990228,46091675,46116129,46131109,46311854,46318849,46346278,46525479,46652233,46753777,46911768,46981105,47055889,47071092,47079057,47098720,47129706,47167333,47319249,47403668,47420329,47471782,47579475,47758273,47835985,48233540,48277857,48516969,48535537,48547285,49016534,49208257,49590068,49740793,49803169,49830229,50117298,50365250,50380088,50526548,50715493,50730255,50751440,50768172,51222126,51241105,51283237,51544598,51605769,51624279,51919366,51947605,52133929,52512085,52650310,52775739,52784049,52874857,52986060,52998913,53117382,53538132,53633262,53803412,53886649,54112272,54427990,54521175,54623185,54877513,54903985,54920120,54966169,55310010,55387475,55465105,55558022,55589889,55646149,56028838,56377326,56518257,56518464,56677599,56725285,57000788,57093422,57095370,57183913,57403182,57880248,57953017,57974710,58155920,58256742,58527128,58594449,58859590,58945537,58997344,59104598,59432084,59514085,59549833,59586469,59663450,59847284,60307286,60438300,60486385,60512197,60876306,60880153,60901297,60901728,60969620,61002049,61029253,61156513,61335489,61401368,61457475,61489326,61595185,61785135,61912129,62046073,62236628,62337126,62557093,62563285,63014502,63100822,63106153,63180372,63273190,63501560,63583272,64083758,64291237,64380553,64467520,64595540,64631185,64962409,65049062,65110153,65115279,65229673,65234168,65313588,65425410,65547822,65554640,65612855,65843019,65845250,65884782,65904144,65951288,66323029,66372012,66464970,66558126,66582932,66762073,66791110,66808369,67270009,67518164,67610289,67705009,67784485,67957057,67966393,68070342,68204984,68489158,68514444,68719813,69076539,69083287,69336529,69356017,69569652,69573829,69637478,69697093,69787104,70023620,70131097,70247649,70297510,70340084,70340977,70376558,70631508,70645105,70749577,70895968,71223109,71416902,71439255,71531181,71553046,71593748,71596140,71732197,71771924,71840329,72147686,72525960,72583662,72806833,73163544,73257097,73388439,73450729,73635140,73748970,73892785,73914222,74142162,74145369,74195199,74198182,74248033,74416594,74440057,74445073,74835685,75075942,75215649,75337249,75535510,75573368,75795877,75927828,76201872,76343278,76369216,76664929,76715605,76730607,76870742,77069588,77310817,77361024,77514648,77557422,77743172,77808694,77829944,77884129,78510492,78552884,78621193,78665568,78721105,78735426,78814209,79014300,79053157,79229462,79358233,79520785,79520929,79730089,79757964,79761217,79796017,79974313,80149332,80221592,80327534,80357113,80694057,81296953,81341382,81523929,81591705,81837289,81875077,82139617,82233975,82291669,82308987,82428313,82837285,82873844,83066929,83481733,83992809,84028344,84042518,84157647,84207910,84281920,84282286,84357012,84435140,84475153,84499604,84510049,84602809,84683605,84774126,84785473,85012329,85020039,85071190,85233500,85496120,85511497,85727106,85915368,85997605,86026449,86215333,86249593,86643668,86926117,87031152,87175928,87203979,87292868,87558687,87716240,87830485,88223768,88290529,88362168,88498764,88542937,88645622,88671342,89734486,89802822,89950213,90068473,90212629,90249291,90278713,90415928,90593089,90642612,90856297,91051928,91083985,91572134,91997029,92058726,92192809,92507605,92584209,92779257,93292294,93430993,93541153,93553273,93732650,93751257,94021268,94170406,94465326,94503793,94531887,94817160,94817833,94885273,94947289,95374390,95424942,95688086,95983717,96183135,96352952,96360278,96392902,96396553,96454520,96462872,96654789,96973993,97011217,97081510,97132885,97176884,97342729,97457528,97489033,97766907,97910046,98020244,98072919,98279252,98286926,98341689,98672773,98680770,98690410,98773729,98889553,98963655,99251739,99282369,99404742,99407439,99459577,99469857,99956473,99995173,...,2532346734162350190845513064364270303849377382599458691826953560947944463172923943637539309843003226816801600269393966486640715400638246496131118100435846900409572563561324267230301310181898543226852414047034436712724970177806540844708897111840057022119270669750706314436283309527577437075845398265383030322430856924311102221187425992797685338647078059804344692798431999034036700151540981035632944588563631686070925424713097833340078705561241094467741644275707593311948267821734575029544706652847151025692917172660758644719431804607685687384175661246572645261127620957080313405524517791422489962458505549509081481491539652650722605688693320723298960125688253006272296890989020687220262601556022794468117872840439996937190750665866576178403500346695004162676975463232976701220703482026498887541246842659126061206124127011869774569666014199871362953710131139374140200991764971380747426296477119999992274527735268015756633751567662183029730401763321861340295125286777198222185072583327315771344677531120105604292015415661150830856604938817207955650066900181513114201878709070508106257674010302963086113359045330099046611432561578277553045450006056186170041498529998590505330404229539690454396502867491544320036788057560327265400200139868059714004106204945598210513336943323573816307838715797172494287820517875643882471358375728076488587445427212798509304759982296696821476101563445156956127126475726001517631718009552511361067868861206420996483356074645304919494876007857403715389658155881357778859921130466339535801238802924053754109189844700532756946809332505734491594532744020530223720789471490808617421535790381236240609358742135843476657569017045994519806075905792589641870303746731046583680512408655172453249256509949266553433404911634635634852198958669397939377910718821421659003736351662215053868766790676221887871174791264430555202518665138933729300688053540055374798935906772268525260635209659582826049511518760664422520259849748334313199176376090012654253913675955045754292517228064233481550938294571582079163117323860300760780229312710967433039923689793000081536681944574557148067009218021622606543818506206832134250779702765076421755106195469406327762994147916469268156440101449123113589127210604419873125989120033977459082189681342124707472511726023994604559380875542188123979429076288187756643012147281673776642323551518009390634449978810540746970417935392360917109797803671594124991798108860005695294951298748107495339360151819750226254105675155868665630614}
15528  2795251487087774474388357752705844877705982353424964384295366144: {263687,480407,806572,898826,943487,1035887,1364968,1374071,1535589,1558127,1640138,1825106,1921132,1955927,2108567,2280117,2321927,2563538,2565287,2714425,2747471,3020207,3050471,3257310,3474464,3483338,3503471,3594376,3654071,3684167,3834527,3877750,3908772,3924647,4043673,4104671,4511692,4582346,4653300,4732487,4963520,5129906,5346465,5564087,5583960,5702896,5741471,5889071,5956224,5985676,6007007,6039626,6281955,6360047,6415758,6700752,6945746,7033487,7307186,7538346,7544968,7848266,8028338,8488089,8540447,8626727,8693817,8776168,8926538,8942471,9285292,9400007,9542567,9759976,9798671,9827087,9873189,10015372,10054127,10251496,10305505,10393727,10712138,10908465,10979973,11181647,11237687,11349671,11480313,11532933,11601167,11635696,11740607,11776586,11835532,11935487,12185471,12296265,12366606,12471865,12600671,12659666,12909001,12924172,13090158,13094965,13116016,13261247,13363538,13440136,13539146,13671767,13682985,14080487,14134847,14216327,14406167,14595184,14649671,14722150,14755518,14966238,15054071,15120153,15188471,15287306,15512497,15713958,15750767,15830807,15990671,16097087,16129768,16190185,16419582,16675466,16943807,17021066,17022767,17105896,17119765,17206727,17252812,17538386,17666580,17816950,18145989,18198527,18224471,18324616,18441430,18586847,18686476,18767447,18844352,19244133,19253426,19428222,19594706,20028136,20115532,20275538,20280337,20375207,20472076,20543718,20615193,20677847,20934969,21029471,21199896,21243016,21380340,21429407,21739557,21967538,22129716,22160710,22247807,22371047,22531653,22543247,22616927,22805696,22808138,23130671,23286865,23425768,23471207,23495471,23667976,23761847,23812106,23849883,23898393,23989317,24075407,24312146,24370489,24435527,24737865,25079207,25142666,25268807,25613301,25646471,25656408,25880425,25904927,25969586,26137612,26251918,26255807,26344900,26353989,26387056,26488727,26592852,26626473,27041289,27293416,27389471,27892972,27944238,28051367,28323287,28428746,28498696,28526471,28549007,28591538,28847966,28863459,28886087,28971910,29685438,29731967,30084671,30282167,30492025,30522671,30544487,30664168,30705093,30870767,30961473,30979127,31044047,31056510,31085257,31259927,31303007,31612065,31613880,31817138,32061033,32104936,32341497,32423212,32790647,33083471,33126944,33266950,33705671,33719536,33721472,33788087,33829247,34261768,34497189,34497676,34503767,34625471,34706447,34766292,34827671,34928471,34985138,35529071,35565615,35620501,35874892,36118053,36182949,36201047,36391946,36494567,36547538,36590430,36656438,36708671,36757929,36786287,36883127,36999071,37060017,37212565,37267812,37478066,37502740,37593527,37688687,37934478,37935167,37936656,37972967,38048471,38544489,38703671,38710706,38864138,38870567,39023241,39029792,39275807,39456865,39486356,39912527,39920340,39978892,39984671,40152217,40361327,40542386,40628207,40981247,41047797,41211380,41242366,41729447,41902538,42021167,42242687,42363016,42445967,42496607,42580847,42581696,42597671,42678738,43029676,43198007,43230265,43549106,43739169,43739207,43771727,43908516,43917585,43954833,43982327,44079071,44082577,44407510,44542607,44655078,44714476,44883338,44936807,44968127,45003288,45030866,45204616,45403247,45434087,45567985,45587807,46119527,46205906,46385896,46392076,46537847,46788767,46845424,46935626,47066471,47283671,47348238,47413127,47655887,47658393,47698487,47728972,47783471,47868167,47904408,48055105,48078647,48204071,48508168,48672047,48866425,48943007,49023671,49237367,49343447,49453656,49501607,49943471,50211767,50501567,50514071,50530226,50628699,50645217,50836367,50855193,50860168,50886430,51068471,51211237,51238346,51371529,51429071,51488471,51594887,51622676,51838105,51852287,51876318,51910247,51942866,51944927,52014071,52033768,52083338,52184133,52253807,52366340,52467671,52634471,52701102,52919327,52923146,52971496,53177471,53188127,53289012,53428065,53480138,53556047,53690207,53726197,53843327,53892459,54014687,54114407,54142216,54173138,54366505,54437807,54457127,54571689,54629567,54681582,54724946,54771287,54864767,54920471,54999986,55239671,55248647,55544968,55548338,55563865,55635363,55685066,55772567,55840247,55890671,55974071,56064887,56089487,56170967,56187167,56306476,56339471,56366950,56409080,56449847,56574071,56612471,56620127,56681087,56726471,56794007,56905127,56989936,57044426,57079897,57100607,57192647,57217689,57297167,57360310,57399887,57430329,57474071,57480767,57487785,57608812,57613007,57666126,57677927,57707377,57886487,57978407,58050647,58098167,58139327,58220471,58328087,58537989,58602671,58639710,58734647,58754471,58838865,58870727,58873400,58922471,58923338,58961541,59041768,59063087,59102471,59124071,59128367,59166671,59230252,59254585,59313407,59332967,59405471,59531471,59592933,59612207,59679361,59682167,59697527,59736527,59850671,59903927,59913671,59973887,60001967,60061607,60070847,60072671,60107471,60116306,60155087,60159287,60186671,60204071,60218687,60244727,60249767,60259247,60266471,60273767,60275471,60291925,60774026,60909993,61036106,61063716,61132936,61320304,61488172,61688786,61788549,61987585,62033972,62205726,62488089,62549024,62761456,62772076,62839608,62868453,62975110,62983346,63092332,63158185,63368906,63439300,63457257,63460215,63497138,64018101,64113678,64370476,64644746,64689292,65239806,66031538,66126697,66232575,66421989,66500709,66676638,66823064,66922665,67254265,67400906,67640340,67690896,67825317,67894538,68101201,68296168,68591809,68650150,68774553,68807692,68832372,68985342,69467781,69519417,70193893,70367652,70378732,70606638,70648080,70694559,70823176,71105502,71207673,71250985,71384176,71511016,71997386,72149696,72350310,72694900,72821426,73158910,73524801,73746680,74119852,74290105,74333066,74385102,74809105,75136946,75169768,75175947,75357676,75357952,75547875,75570132,75593138,75789822,75833173,76127160,76152258,76212025,76278937,76537576,76751710,76833189,76835786,77173664,77195797,77316897,77675656,77795785,77879049,78125932,78941138,78975465,79113937,79376950,79479090,79670437,79676073,79920266,80307198,80449893,80584400,80673746,80705118,80744425,81101138,81168408,81202304,81207626,81542710,81641985,81780652,81835897,81943300,81985768,82380180,82439110,82578866,82683338,82965015,83116168,83228665,83337033,84019336,84043257,84240496,84308833,84397705,84405013,84565989,84777696,84843986,85147466,85256230,85275337,85501182,85640133,85643055,85750538,86104773,86149706,86249138,86820372,86842706,86962065,87084784,87233880,87385113,87397096,87529525,87790692,87820466,87846376,87872192,87902113,87925105,88289385,88496016,88619960,88656897,88744168,89148126,89492185,89495175,89714905,89770926,90147052,90460929,90657450,90760456,91129226,91314459,91352592,91404626,91454430,92043925,92101177,92102052,92233989,92313266,92366078,92759536,93049472,93354942,93384626,93505689,93663532,94087346,94174538,94175344,94466710,94521753,94521866,94651233,94770558,94909785,94957801,95069689,95222536,95252340,95374908,95461520,95888138,96125637,96307538,96336985,96701280,96778216,96893310,97178965,97217546,97287430,97296073,97449457,97551392,97573593,97658638,97851252,97970382,98029706,98138115,98191105,98321733,98331960,98552296,98593957,98669066,98743477,98767875,98827173,98856216,98860492,98926932,99533138,99558018,99697455,99837189,99843026,99874398,...,3798520101243525286268269596546405455774066073899188037740430341421916694759385915456308964764504840225202400404090949729961073100957369744196677150653770350614358845341986400845451965272847814840278621070551655069087455266709811267063345667760085533178906004626059471654424964291366155613768097398074545483646285386466653331781138989196528007970617089706517039197647998551055050227311471553449416882845447529106388137069646750010118058341861641701612466413561389967922401732601862544317059979270726538539375758991137967079147706911528531076263491869858967891691431435620470108286776687133734943687758324263622222237309478976083908533039981084948440188532379509408445336483531030830393902334034191702176809260659995405786125998799864267605250520042506244015463194849465051831055223039748331311870263988689091809186190517804661854499021299807044430565196709061210301487647457071121139444715679999988411791602902023634950627351493274544595602644982792010442687930165797333277608874990973657017016296680158406438023123491726246284907408225811933475100350272269671302818063605762159386511015454444629170038567995148569917148842367416329568175009084279255062247794997885757995606344309535681594754301237316480055182086340490898100300209802089571006159307418397315770005414985360724461758073695758741431730776813465823707037563592114732881168140819197763957139973445045232214152345167735434190689713589002276447577014328767041601803291809631494725034111967957379242314011786105573084487233822036668289881695699509303701858204386080631163784767050799135420213998758601737391799116030795335581184207236212926132303685571854360914038113203765214986353525568991779709113858688884462805455620096569875520768612982758679873884764923899830150107367451953452278298438004096909066866078232132488505604527493322580803150186014332831806762186896645832803777997708400593951032080310083062198403860158402787890952814489374239074267278140996633780389774622501469798764564135018981380870513932568631438775842096350222326407441857373118744675985790451141170343969066451149559885534689500122305022916861835722100513827032433909815727759310248201376169554147614632632659293204109491644491221874703902234660152173684670383690815906629809688983680050966188623284522013187061208767589035991906839071313313282185969143614432281634964518220922510664963485327277014085951674968215811120455626903088541375664696705507391187487697163290008542942426948122161243009040227729625339381158512733802998445921}
15529  2807678093172644223485523793228608203246245762449885480114338898: {31054,1008215,1194347,1209858,1348239,1706210,2047452,2401415,2460207,2737659,2881698,3040156,3145079,3827759,3845307,4343080,4492970,4632407,4885965,4990034,5004239,5211696,5225007,5391564,5639615,5816625,5863158,6204400,6477746,6601847,6767538,6849674,6873519,6979950,7128620,7445280,7482095,7679147,7694859,7839458,7941632,8375940,8539979,8554344,8649407,8934336,8954954,8970059,8978514,9059439,9431210,9623637,10051128,10181234,10418619,10877519,10960779,10970210,11307519,11317452,11387387,11476514,11591756,11606615,11760119,11772399,12042507,12199970,12519215,12636539,12770786,12814370,13164252,13389807,13416491,13927938,14113547,14544620,14637458,14639964,14655407,14794415,14863787,14967659,15023058,15307084,15377244,16022687,16034039,16068207,16155215,16395020,16488808,16494218,16800170,17320571,17453544,17524619,17664879,17733767,17753298,17849039,18243980,18549909,18587639,18900674,18989499,19159799,19386258,19465034,19635237,19658939,19674024,19954984,20045307,20160204,20162210,20308719,20497547,20638007,20709479,20827211,20951944,21305258,21382370,21501227,21566015,21892776,22064498,22083225,22133277,22449357,22512107,22612754,22905770,22930959,23088674,23358095,23439167,23555440,23570937,23791499,23881739,24097586,24194652,24328379,24629373,24801458,24936359,25013199,25035170,25144415,25531599,25590095,25658844,25879218,25904296,26307579,26324834,26499870,26528447,26553770,26725425,26831147,27311591,27391624,27486924,27613346,27662145,27786239,27809666,27913292,28029714,28030859,28091819,28237931,28266528,28406159,28507120,28507778,28554107,28880139,28986076,29142333,29282210,29392059,29504594,29506288,29584970,29979047,30042204,30173298,30206066,30275879,30413307,30581858,30708114,30815577,30994706,31202219,31347719,31799844,31864524,31895471,31985756,32070510,32658959,32672015,32931125,32951307,32983820,33179306,33194574,33241065,33322679,33533291,33954827,34116770,34151068,34208544,34212207,34866215,34925858,35138652,35179154,35457136,35501964,35527547,35623370,35718159,36055052,36326399,36468219,37067639,37119179,37258984,37269746,37669538,37713999,38330210,38484612,38512991,38582927,38954379,39138299,39206418,39231959,39377877,39431687,39517350,39554039,39580584,39889278,40015919,40131170,40474538,40499327,40529015,40587659,40940124,40989746,41281964,41408680,41839458,41916357,42119426,42149420,42151840,42444647,42532079,42643119,42748044,42827210,42887307,43121996,43122095,43271949,43333058,43457865,43486991,43534994,44064971,44502647,44528157,44843615,45052199,45117839,45248138,45509399,45529547,45996252,46310807,46350059,46355056,46439327,46584765,46878425,47022866,47173487,47374439,47420820,47465639,47725707,48157404,48243932,48381407,48601847,48634818,48650951,48787240,49010572,49357945,49413356,49690416,49866194,49900425,49973615,50261639,50579304,50582208,50745698,50832074,50980319,51051947,51392652,51514225,51661547,51746514,51803879,52030988,52140731,52149438,52394498,52477707,52716431,52832258,52953770,53049986,53227120,53491319,53655266,53710754,53787095,53812338,54452018,54587919,54730396,54772874,54821307,54885645,54916274,54984657,55295867,55425239,55592651,55893095,55901718,56042207,56217099,56254110,56392226,56505770,56618759,56901717,56904984,57076106,57316559,57516167,57960599,57982370,57990095,58066059,58296207,58318892,58470181,58544688,58556780,58606444,59229534,59501906,59540104,59661215,59759147,59880510,59968338,60004384,60635210,60813579,61210007,61333691,61817070,61863549,61920191,61970279,62039639,62461154,62565287,62572139,62620466,62635079,62853807,62943887,63114491,63130984,63528386,63544524,63575210,63872544,64018107,64528345,64544514,64771019,65042210,65238167,65323659,65457925,65773547,65862774,65938208,66033407,66181931,66214370,66392546,66423794,66611265,66970379,66982617,67071714,67213271,67325007,67504932,67526956,67546299,67631279,67677770,67806924,67966199,67974407,68131307,68495372,69168424,69308859,69345611,69431210,69578844,69588114,69916751,70060139,70215287,70268136,70383095,70403439,70511350,70897031,71022357,71052016,71237420,71593458,71607434,71737451,71737547,71856612,72011015,72071999,72275879,72726647,72762252,72770171,72908776,72969938,73214987,73516919,73591750,73710434,73802210,74037815,74180484,74454767,74579999,74635826,74697407,75711647,75795339,76199186,76290252,76329645,76353266,76416170,76472459,76546706,76573772,76650380,76857314,76857519,76860215,76865579,76888168,77015906,77434014,77542465,77651147,77814477,77818826,77896751,77914299,78050652,78125007,78186280,78451820,78465095,78549510,78615388,78755879,78853106,78865415,79051653,79299125,79315298,79368587,79384719,79415399,79457244,79933518,79984727,80002418,80171279,80220207,80323919,80326466,80409431,80463095,80463959,80521067,80861615,80873879,81164594,81213324,81259707,81418288,81422219,81875579,81976007,82022373,82087419,82384732,82403426,82499979,82940968,83317452,83319719,83322507,83527599,83528830,83786144,83824604,83875499,83921207,84459714,84550425,84609676,84613620,84680939,84713039,84902207,85005131,85357468,85370210,85484904,85566639,85673279,86009615,86040465,86044439,86233259,86274386,86413218,86499189,86646026,86805407,86962658,86986408,87473951,87588599,87959565,87973415,87979679,88310100,88385007,88528970,88562652,88582466,88667612,88679159,88845378,88902184,89230220,89388770,89810891,89832434,90174459,90187120,90223874,90254528,90420959,90433756,90483659,90604007,90632747,90868625,91161039,91507439,91554159,91595574,91669199,91699404,91776496,91857997,91980456,92183350,92232258,92262218,92449199,92533179,92623708,92637698,92649815,92692556,93050958,93145007,93304466,93308589,93507554,93553391,93823536,93882107,93962210,94111778,94142184,94158114,94197095,94197440,94259412,94334666,94379531,94462665,94475019,94638498,94807336,94840658,94898279,94943564,95053359,95158950,95245707,95516546,95671970,95996399,96170517,96467080,96555714,96967119,97033938,97071074,97094570,97152719,97415279,97657415,97859709,98033068,98056919,98170007,98416514,98685647,98786591,98796359,98903147,99047307,99180136,99481586,99606338,99660458,99992267,...,5064693468324700381691026128728540607698754765198917383653907121895888926345847887275078619686006453633603200538787932973281430801276492992262236200871693800819145127122648534460602620363797086453704828094068873425449940355613081689417794223680114044238541339501412628872566619055154874151690796530766060644861713848622204442374851985595370677294156119608689385596863998068073400303081962071265889177127263372141850849426195666680157411122482188935483288551415186623896535643469150059089413305694302051385834345321517289438863609215371374768351322493145290522255241914160626811049035582844979924917011099018162962983079305301445211377386641446597920251376506012544593781978041374440525203112045588936235745680879993874381501331733152356807000693390008325353950926465953402441406964052997775082493685318252122412248254023739549139332028399742725907420262278748280401983529942761494852592954239999984549055470536031513267503135324366059460803526643722680590250573554396444370145166654631542689355062240211208584030831322301661713209877634415911300133800363026228403757418141016212515348020605926172226718090660198093222865123156555106090900012112372340082997059997181010660808459079380908793005734983088640073576115120654530800400279736119428008212409891196421026673886647147632615677431594344988575641035751287764942716751456152977174890854425597018609519964593393642952203126890313912254252951452003035263436019105022722135737722412841992966712149290609838989752015714807430779316311762715557719842260932679071602477605848107508218379689401065513893618665011468983189065488041060447441578942981617234843071580762472481218717484271686953315138034091989039612151811585179283740607493462093167361024817310344906498513019898533106866809823269271269704397917338795878755821437642843318007472703324430107737533581352443775742349582528861110405037330277867458601376107080110749597871813544537050521270419319165652099023037521328845040519699496668626398352752180025308507827351910091508585034456128466963101876589143164158326234647720601521560458625421934866079847379586000163073363889149114296134018436043245213087637012413664268501559405530152843510212390938812655525988295832938536312880202898246227178254421208839746251978240067954918164379362684249414945023452047989209118761751084376247958858152576375513286024294563347553284647103036018781268899957621081493940835870784721834219595607343188249983596217720011390589902597496214990678720303639500452508211350311737331261228}
15530  2820159506403700506550822027995078320243823531515023664834441897: {46581,294709,527374,573241,960814,1220629,1588981,1613144,1797652,1814787,1886974,2071774,2139349,2413561,2559315,2729936,2748142,2778169,3050869,3071178,3116254,3232309,3280276,3413461,3650212,3684649,3800195,3842264,3911854,4135189,4217134,4322547,4560234,4643854,4762921,5030869,5120041,5127076,5130574,5428850,5494942,6040414,6100942,6184489,6514620,6624949,6739455,6888361,6948928,6966676,7006942,7188752,7308142,7368334,7485051,7500469,7669054,7755500,7817544,7849294,8087346,8195701,8209342,8794737,8910775,8972329,9023384,9058261,9164692,9306600,9464974,9572341,9716619,9828409,9927040,10151307,10259812,10274511,10469925,10508089,10692930,10846201,11099029,11128174,11167920,11405792,11482942,11759187,11778142,11912448,11971352,12014014,12079252,12563910,12720094,12831516,12850681,13401504,13432431,13467771,13673641,13891492,14066974,14082421,14146815,14427707,14489401,14489695,14614372,15076692,15089936,15217429,15271851,15458809,15696532,15779641,16056676,16179061,16258729,16455315,16976178,17080894,17214771,17253454,17387634,17460611,17552336,17680441,17836969,17853076,17884942,18180775,18227029,18299955,18332951,18570584,18800014,19085134,19133855,19156179,19221555,19519952,19539769,19597342,19654174,19746378,20030744,20074261,20108254,20378101,20493775,20502992,20529589,20611010,20626507,20787454,20891907,21424276,21432469,21816930,21880021,21956187,21959946,22251001,22363294,22398889,22475374,22534587,22620181,22666259,22699342,22804975,22960626,22987561,23065866,23202334,23271392,23481214,23498869,23553172,23671064,23789461,23870974,23967671,24006649,24370942,24592530,24725929,24733212,24741327,24943730,25200255,25201342,25319332,25438009,25818002,25848344,26180316,26189930,26232032,26283001,26522494,26629947,26727076,26880272,26979241,27078292,27255721,27343534,27365970,27668281,28078249,28160974,28269694,28350121,28351011,28432654,28553269,28801487,28812334,29079387,29190368,29197551,29299342,29359381,29444300,29511036,29559289,29758549,29932476,30108142,30220969,30240306,30243315,30376942,30549109,30574612,30940501,31024994,31199989,31329301,31427916,31501534,31661614,31907641,31957887,31981342,32073555,32194174,32226421,32259536,32380370,32601611,32795689,32839164,33096747,33109429,33171961,33350932,33887614,33919131,34042132,34045534,34211792,34239530,34358655,34407481,34413454,34505624,34529449,34633011,34711861,34891615,34954069,35076772,35134969,35315221,35333160,35554549,35633900,35970601,36146379,36232595,36291978,36397054,36448942,36649232,36792121,36882860,37139881,37173694,37202187,37372952,37534894,37552755,37688704,37770709,38336629,38488266,38506852,38616889,38728489,38818827,38856444,39189412,39337141,39487251,39719929,39749805,39830655,39937081,39982195,40056272,40231064,40528309,40551076,40560674,40750414,40944152,41005561,41087436,41229775,41230386,41355694,41420019,41529001,41714499,41736361,41869938,42044571,42058942,42399792,42486032,42604789,42688835,42705589,42760680,42761667,42858814,43006261,43304341,43479114,43697749,43746601,43844089,43923315,43935076,44256891,44259432,44321420,44377455,44495614,44742094,44991481,45063306,45068815,45086494,45233854,45259947,45309099,45611392,45616276,45687541,45872787,46062171,46142581,46261342,46322581,46492059,46573730,46811641,46851536,46942414,46990942,47335952,47421481,47523694,47593129,47624212,47699766,47721109,47796786,47806069,47890741,47978634,48101161,48105765,48150814,48624292,48680761,48740978,48871054,49286101,49475730,49523701,49768959,49791861,50158414,50220949,50285332,50410489,50523349,50537614,50672821,51175155,51226602,51259189,51292942,51312816,51509929,51602455,51760850,51809854,51939172,52097591,52104181,52275001,52275224,52388787,52503836,52511614,52644469,52686775,52689800,52707978,52768731,52774112,52977454,53069881,53185704,53198329,53252946,53435055,53700601,53762089,53853781,53902495,54082578,54586832,54778942,54791509,54847669,54875641,55239611,55259689,55419961,55446421,55525369,55707061,55785944,55809301,55859989,55888476,55904619,56035129,56102734,56206741,56230969,56398549,56504307,56631829,56646574,56700409,56745769,56857492,56997392,57052942,57098014,57183076,57412021,57492949,57495315,57631801,57695932,57726918,57772174,57880309,57943820,57990901,58273141,58357561,58374229,58423801,58488889,58504981,58646569,58767529,58809627,58954261,59022841,59141749,59180089,59276025,59350441,59370876,59407861,59441449,59463934,59517301,59559061,59629369,59658421,59696149,59810809,59833917,59949481,59990521,59997109,60016441,60022741,60076201,60087289,60098089,60123829,60138409,60169342,60196755,60212281,60243241,60268981,60294649,60304915,60522371,60564334,60711807,60984050,61045342,61088974,61263215,61328336,61410186,61484619,61741534,61766695,61922946,61958254,62088094,62113020,62170514,62519854,62606014,62759187,63179139,63224130,63227760,63634276,63795179,64122066,64209872,64240815,64682994,64846424,64999587,65038735,65302491,65581294,66166942,66253888,66533900,67277147,67411342,67439072,67442944,67576174,67658494,67872207,68412995,68523536,68994378,68995352,69007534,69250942,69412894,69532584,69655342,69856942,69970276,70534299,71058142,71131230,71241002,71749784,72236106,72365898,72402094,72573347,72783892,72898615,72952227,72989134,73095076,73180860,73195975,73258055,73312876,73417342,73515858,73572574,73766254,73998142,74120034,74425130,74535624,74799291,74956132,75005480,75187054,75377374,75868956,75870334,75873312,75945934,76096942,76113107,76118547,76248111,76731787,77088978,77407342,77421412,77619771,77728276,77741134,77789411,78046482,78059584,78224157,78551614,78591747,78913730,78972712,79248387,79430655,79574979,79825054,79840680,79957784,79969342,80304434,80482899,80566131,80718507,80722654,81063047,81084772,81256414,81678027,81962494,82095594,82159311,82374411,82422760,82484732,82956419,83458894,83805076,83852577,83910079,84042334,84381165,84408695,84485374,84588339,84726032,84758655,84891934,84993214,85161694,85163392,85195342,85357476,85614159,85619215,86059352,86396014,86460530,86782619,86973555,87098212,87478338,87478414,87543454,87817032,87835170,87909666,87926707,87964654,88158142,88165154,88421459,88815020,88844301,89046775,89085214,89252859,89310156,89428952,89766676,89820765,89873614,89936254,89952507,90006576,90037387,90061732,90409232,90806494,90868174,90952815,91135970,91175614,92239054,92411812,92725605,92771792,92784152,93075694,93577534,93690848,93691731,93871252,93930699,94132942,94155971,94567342,94696476,94826254,95292579,95311774,95316786,95362815,95396974,95457944,95566942,95717215,95736334,95808816,95812975,96110210,96157294,96408142,96715151,96816771,97016336,97344094,97563315,97732850,97886014,98047342,98064775,98269235,98474734,98686894,98794161,98907312,99003214,99321555,99588819,99635691,99751379,99886942,...,7597040202487050572536539193092810911548132147798376075480860682843833389518771830912617929529009680450404800808181899459922146201914739488393354301307540701228717690683972801690903930545695629680557242141103310138174910533419622534126691335520171066357812009252118943308849928582732311227536194796149090967292570772933306663562277978393056015941234179413034078395295997102110100454622943106898833765690895058212776274139293500020236116683723283403224932827122779935844803465203725088634119958541453077078751517982275934158295413823057062152526983739717935783382862871240940216573553374267469887375516648527244444474618957952167817066079962169896880377064759018816890672967062061660787804668068383404353618521319990811572251997599728535210501040085012488030926389698930103662110446079496662623740527977378183618372381035609323708998042599614088861130393418122420602975294914142242278889431359999976823583205804047269901254702986549089191205289965584020885375860331594666555217749981947314034032593360316812876046246983452492569814816451623866950200700544539342605636127211524318773022030908889258340077135990297139834297684734832659136350018168558510124495589995771515991212688619071363189508602474632960110364172680981796200600419604179142012318614836794631540010829970721448923516147391517482863461553626931647414075127184229465762336281638395527914279946890090464428304690335470868381379427178004552895154028657534083203606583619262989450068223935914758484628023572211146168974467644073336579763391399018607403716408772161262327569534101598270840427997517203474783598232061590671162368414472425852264607371143708721828076226407530429972707051137983559418227717377768925610911240193139751041537225965517359747769529847799660300214734903906904556596876008193818133732156464264977011209054986645161606300372028665663613524373793291665607555995416801187902064160620166124396807720316805575781905628978748478148534556281993267560779549245002939597529128270037962761741027865137262877551684192700444652814883714746237489351971580902282340687938132902299119771069379000244610045833723671444201027654064867819631455518620496402752339108295229265265318586408218983288982443749407804469320304347369340767381631813259619377967360101932377246569044026374122417535178071983813678142626626564371938287228864563269929036441845021329926970654554028171903349936431622240911253806177082751329393411014782374975394326580017085884853896244322486018080455459250678762317025467605996891842}
15531  2832695966593035533837711377419508793232771689728100346288310364: {62108,791061,1411501,1441221,2016430,2247065,2388694,2419716,2696478,2830461,3107661,3361981,3412420,3920741,4094904,4100345,4122213,4478633,4562765,4606767,4674381,4802830,4920414,5475318,5592973,5763396,5867781,6080312,6290158,6325701,6408845,6840351,6965781,7655518,7690614,7695861,7895461,7999541,8143275,8242413,8686160,8708345,8985940,9017261,9060621,9151413,9264814,9694375,9771930,9980068,10008478,10034189,10423392,10450014,10474933,10510413,10783128,10784681,10962213,11052501,11279230,11455865,11503581,11633250,11726316,11773941,12131019,12314013,12358133,12408800,12824765,12955492,13012793,13203694,13457821,13535076,13699348,13747038,13930361,13959900,14197461,14257240,14585381,14890560,14964190,15099065,15358294,15389718,15678916,15855853,15883264,16039395,16249261,16692261,16713341,16751880,17079958,17108688,17224413,17298814,17364365,17526901,17667213,17868672,17907709,17909908,17940118,17957028,18021021,18118878,18141101,18267965,18383129,18639701,18845865,18862420,19080141,19247274,19620665,20070845,20102256,20362468,20712181,20837238,21100461,21413893,21755038,21921558,21940420,22316345,22615038,22617301,22634904,22774774,22953028,23182181,23183512,23213230,23520238,23544798,24085014,24399940,24582541,25038430,25273078,25410541,25464267,25541572,25621341,25628740,25880181,26081451,26328504,26422973,26464121,26779614,26780345,26827413,26832982,27855876,28200021,28227094,28627701,29089240,29195149,29274916,29279928,29310814,29396013,29441465,29481261,29585321,29588830,29619567,29727574,29758661,29935318,30046116,30162381,30192421,30614168,30754488,30916515,31181181,31351801,31649165,32045374,32068078,32136414,32206229,32310430,32701333,32725395,32790040,32939919,32977616,32988436,33408845,33544941,33600340,33713061,33847865,34049013,34257941,34440939,34598799,34641142,34803501,34907088,34911301,35049238,35202181,35221821,35329758,35467534,35506596,35698078,35806461,35813033,35826133,36487960,36556413,36805375,36888795,37099818,37175278,37415595,37801348,37802013,37901861,37978998,38218265,38243533,38319598,38727003,38772516,38930068,39180581,39270474,39284895,39317878,39348048,39630253,39780953,39783741,39909968,40090614,40320408,40324420,40465021,40600093,40617438,40995094,41015301,41048955,41276014,41418958,41654422,41688665,41903888,41987101,42157709,42241461,42404541,42552665,42610516,42648981,42764740,43002454,43132030,43148501,43218501,43785552,43845965,43949013,44070709,44128996,44166450,44266554,44542375,44898714,45024214,45109529,45162213,45225508,45360459,45515353,45565413,45740821,45811540,45861918,46103575,46177348,46330901,46537491,46716190,46878334,47110880,47141874,47252301,47492421,47535853,47582998,47763478,47862841,47972013,48133565,48195172,48291261,48389304,48570555,48656758,48812701,48986765,49076621,49258746,49602916,49872718,50026398,50070340,50288830,50688845,50831421,51063198,51068301,51180190,51317688,51359295,51433181,51620181,51758436,51808592,52006189,52615158,52635293,52649668,52723309,52999740,53056894,53107540,53450850,53652653,53662294,54437967,54595581,54623182,54673413,54783248,54882841,54918845,54973848,55226692,55324290,55401775,55572478,55619332,55760541,55826584,56059428,56061718,56174773,56183638,56198249,56302341,56475862,56533056,56740621,56812318,57014240,57015556,57020345,57108214,57732399,57760278,57898453,57915341,57972152,58284666,58564420,58655101,58784118,58992533,59009188,59012576,59169940,59530265,59870789,59958094,60079301,60084408,60346596,60370933,60412132,60523501,60551758,60780365,60826614,60841011,61125621,61163716,61416228,61631154,61845579,61989412,62033541,62404438,62695438,62781061,62804907,62856665,63088413,63109493,63599688,63729048,63772181,63790942,63971512,64141020,64195861,64288221,64514789,64745549,64779493,64923965,65127221,65218671,65317918,65344030,65349661,65629795,65862250,65902614,65967640,66190549,66358612,66389148,66482130,66645358,66743421,67066582,67113141,67485221,67594959,67629741,67850781,67909654,68233540,68302136,68417088,68424414,69101123,69392013,69600509,69732430,69851716,69860595,69925909,69963061,70277304,70358308,70413621,70486413,70914272,71003928,71055094,71071865,71241641,71246740,71285541,71436318,71478845,71549649,71695179,71848669,71967951,72110104,72119915,72226221,72429775,72652798,72768041,72936438,73023101,73111467,73306581,73470221,74135278,74169229,74213595,74238358,74517968,74539492,74589853,75237621,75277381,75301933,75339076,75427998,75806421,76660420,76839903,76905593,76939413,76969224,77025982,77165854,77327261,77330933,77641275,77714781,77908758,78039481,78250333,78276598,78412836,78463918,78475909,78755754,78767421,78863374,79034700,79061967,79108078,79161168,79466181,79542845,79778556,79879419,80031838,80262340,80776133,80949076,80998654,81058030,81123867,81175318,81186133,81880248,81979492,82168413,82313081,82493189,82563928,82817360,83089061,83167375,83525701,83678916,83832714,83886421,83933693,84154101,84238852,84298840,84303680,84889294,84969861,85064158,85286238,85496088,85579413,85647021,85654420,85774614,85954909,86243992,86244190,86543898,86590377,86658261,86666116,86915730,86973982,87069988,87462845,88129942,89005294,89056314,89195901,89477401,89687230,90104398,90235678,90254013,90339683,90388453,90496276,90616661,90846501,90962041,90979865,90981161,91018798,91059094,91368845,91476075,91568013,91581781,91633461,91641095,91740973,91992504,92115279,92461261,92612301,92621614,92628701,92700118,92710112,92878654,92884419,92937381,93132141,93169530,93255771,93578309,93695165,93756850,93779781,93909021,94045732,94346974,94748878,94836195,94841640,94931278,95161261,95451414,95942893,96183099,96314808,96487864,96762814,96776765,97024491,97160345,97203694,97269636,97301902,97574480,98021144,98371941,98412101,98517941,98536333,98715890,98826712,99250413,99380832,99732388,99800850,99947230,...,11395560303730575858804808789639216367322198221697564113221291024265750084278157746368926894293514520675607201212272849189883219302872109232590031451961311051843076536025959202536355895818543444520835863211654965207262365800129433801190037003280256599536718013878178414963274892874098466841304292194223636450938856159399959995343416967589584023911851269119551117592943995653165150681934414660348250648536342587319164411208940250030354175025584925104837399240684169903767205197805587632951179937812179615618127276973413901237443120734585593228790475609576903675074294306861410324860330061401204831063274972790866666711928436928251725599119943254845320565597138528225336009450593092491181707002102575106530427781979986217358377996399592802815751560127518732046389584548395155493165669119244993935610791966067275427558571553413985563497063899421133291695590127183630904462942371213363418334147039999965235374808706070904851882054479823633786807934948376031328063790497391999832826624972920971051048890040475219314069370475178738854722224677435800425301050816809013908454190817286478159533046363333887510115703985445709751446527102248988704525027252837765186743384993657273986819032928607044784262903711949440165546259021472694300900629406268713018477922255191947310016244956082173385274221087276224295192330440397471121112690776344198643504422457593291871419920335135696642457035503206302572069140767006829342731042986301124805409875428894484175102335903872137726942035358316719253461701466110004869645087098527911105574613158241893491354301152397406260641996275805212175397348092386006743552621708638778396911056715563082742114339611295644959060576706975339127341576066653388416366860289709626562305838948276039621654294771699490450322102355860356834895314012290727200598234696397465516813582479967742409450558042998495420286560689937498411333993125201781853096240930249186595211580475208363672858443468122717222801834422989901341169323867504409396293692405056944142611541797705894316327526289050666979222325572119356234027957371353423511031907199353448679656604068500366915068750585507166301541481097301729447183277930744604128508662442843897897977879612328474933473665624111706703980456521054011151072447719889429066951040152898565869853566039561183626302767107975720517213939939846557907430843296844904893554662767531994890455981831042257855024904647433361366880709265624126994090116522173562463091489870025628827280844366483729027120683188876018143475538201408995337763}
15532  2845287714593741198486541309081045651504845264793927441109379380: {77635,93162,589418,912907,1054748,1097731,1146482,1374427,1921628,2017531,2292067,2441258,2657107,3024645,3177962,3226288,3564667,3583041,3595304,3629574,3773948,4015747,4044717,4105747,4143548,4265525,4278698,4827122,5118630,5320273,5447107,5459872,5496284,5556338,5802067,6067531,6101738,6142356,6232508,6464618,6508531,6560552,6772267,6826922,7204245,7210387,7300424,7369298,7380621,7600390,7684528,7823708,8212977,8270378,8427547,8434268,8645094,8858827,9120468,9287708,9435237,9525842,9545131,9715987,10061738,10240082,10254152,10261148,10396531,10650547,10857700,10989884,11232425,11240731,11408707,11483277,11535921,11910907,12080828,12201884,12368978,12475085,12659347,13029240,13249898,13319731,13478910,13730131,13776722,13897221,13897856,13933352,14013884,14138731,14301667,14377504,14616284,14657895,14707747,14736668,14970102,15000938,15012717,15338108,15511000,15635088,15675021,15698588,15995107,16174692,16194365,16391402,16418684,16711147,16918845,17124185,17449875,17578387,17589474,17821550,17944658,18046768,18116522,18281467,18329384,18359227,18613200,18929948,19144682,19433238,19440307,19598645,19656818,19805541,19854080,20285573,20302614,20431531,20519624,20549022,20620557,20809531,20939850,21016178,21035467,21335707,21385860,21692402,22198058,22256348,22303531,22335840,22387385,22446285,22525147,22811584,22965884,23037441,23084577,23518374,23556284,23578025,23824896,23913667,23942704,24028028,24158504,24376781,24848731,24991507,25127820,25440188,25453085,25619937,25663032,25701362,25948221,26053147,26787397,26803008,26821387,26864862,26910177,26935542,27178317,27347282,27425525,27782984,27786547,27854947,27991531,28133948,28164842,28293630,28331731,28691285,28855414,28870911,28978802,28979390,29228744,30137707,30153384,30179872,30434858,30499925,30543702,30917618,31255857,31312531,31393064,31559282,31634731,31763107,31869101,31926965,32035925,32113352,32358122,32517458,32632557,32882337,32905531,32910630,33093667,33405787,33530131,33716107,33839731,33922557,33952356,33963067,34038121,34161788,34162161,34429542,34506908,34757731,34775268,34819845,34921222,35060131,35104672,35280357,35317197,35360882,35540227,35673938,35706152,35769884,35837947,36074827,36127521,36251731,36361550,36427987,36454058,36593645,36599910,36665902,37141168,37241947,37557645,37600028,37909617,37985131,38170268,38267710,38312358,38443110,38716147,39039904,39079538,39194684,39308348,39489787,39492756,39544507,39925531,40061488,40148522,40169421,40216508,40249473,40623787,40756202,40987550,40994731,41005984,41059178,41152627,41222020,41235545,41253014,41362147,41574908,41777731,41783814,42000425,42035131,42340641,42848552,42864938,42896827,43146307,43633860,43760042,43786531,43912374,43919892,43932547,43966221,44383245,44502002,44591361,44726588,44797778,44842267,44902977,44950748,44983531,45069174,45240362,45332518,45398684,45449731,45609950,45921252,45975122,46131732,46225747,46404668,46494667,46542784,46962428,46997738,47106344,47112067,47155627,47251685,47342128,47578922,47672731,47741948,47935342,47969587,48011707,48013298,48068061,48095731,48102117,48204621,48221227,48465645,48662585,48741884,48798307,48848261,49185060,49400947,49451858,49466424,49482654,49887460,50179267,50400510,50402684,50405525,50557627,50595067,50638664,50725633,50744107,50781187,50876018,51111667,51220531,51472027,51507667,51636004,51696688,51961713,52205347,52273531,52341427,52360632,52379860,52464064,52509907,52566002,52573857,52676587,52994637,53044988,53197867,53201301,53259894,53263145,53454152,53455925,53547117,53669827,53760544,53884531,53958482,54035731,54095707,54125587,54156584,54273907,54478531,54511442,54622531,54679627,54687068,54708067,54731940,54905131,55043731,55161245,55336562,55580131,55649727,55762917,55975073,56013427,56156498,56210131,56321948,56378467,56496547,56531885,56539388,56612827,56700242,56702022,56839987,56865308,56968497,57106538,57124531,57230731,57264425,57376387,57479397,57538531,57578347,57602974,57624668,57721685,57923731,58158774,58193731,58228507,58245787,58331107,58380736,58395102,58598684,58638907,58685131,58718762,58760731,58863547,58877947,58888600,58905711,58906531,58948867,58976817,59022072,59118578,59176531,59336587,59360131,59440267,59495347,59506147,59517098,59659507,59752747,59764369,59864952,59871187,59879107,60135921,60211531,60216284,60243965,60251707,60277267,60297067,60305131,60306787,60441938,60480612,60486630,60753884,60926157,61098218,61149224,61492641,61881002,61914021,62003645,62049988,62128437,62399978,62481633,62587925,62658602,62855832,63003068,63096341,63323228,63815282,63915774,63962684,64147110,64388348,64452842,64503681,64519072,64698045,64760740,65203222,65591378,65678328,65812085,66193494,66218858,66249675,66343922,66384425,66399831,66701864,67348071,67536321,67775228,67838262,68084264,68091068,68423584,68479060,68717310,68792877,68814962,68826908,69011248,69033365,69058898,69266022,69272621,69423722,69524165,69783230,69908138,70074285,70153544,70269938,70317501,70630442,70666320,70712811,71109098,71267800,71269445,71374497,71645217,71941202,72243437,72292758,72465190,72583956,72794108,72897884,72985137,73205525,73298464,73584242,73761485,73765720,73888119,73962425,74279762,74347388,74404374,74745904,74809077,75039597,75069788,75105510,75377408,75433245,75463493,75515165,75541418,76454645,76594797,76673258,76770285,76976532,77013704,77233778,77456978,77486765,77637654,77712888,78378824,78674282,78922737,78974502,79439858,79499610,79585341,79661310,79874162,79964390,80112544,80176275,80462128,80474801,80493441,81056618,81102152,81121348,81500828,81888304,81934773,82011122,82174872,82459550,82460772,82711388,82840038,82948265,82986435,83058002,83358717,83428998,83472722,83739876,84089142,84092577,84117884,84275457,84426881,84713793,84799584,84972064,85209578,85218477,85291925,85377670,85411178,85521360,85523334,85662321,85717628,85768501,86012522,86473373,86608682,86640417,86958228,87314645,87395498,87426999,87493202,87688178,87846630,87870152,87947885,88176177,88513782,88518864,88642840,88754910,88991228,89058425,89484188,89696981,89937141,89982962,90126612,90137630,90172988,90467708,90519894,90618198,90683021,90827637,91054229,91222784,91232552,91239921,91375082,91745574,92124342,92285162,92446731,92522684,92645162,92984118,93147460,93174365,93606657,93623282,93703072,93781853,93884828,93981884,94043157,94173845,94671904,94842962,95047388,95186258,95248424,95399532,95442218,95593572,95612138,95686413,95778193,95781482,95825525,95957268,96202322,96211530,96301628,97248584,97361522,97481956,97742108,97976877,98016045,98572202,98793375,98853921,98951460,99047402,99166457,99537918,99583722,99723195,99968037,...,15194080404974101145073078386185621823096264295596752150961721365687666779037543661825235859058019360900809601616363798919844292403829478976786708602615081402457435381367945603381807861091391259361114484282206620276349821066839245068253382671040342132715624018504237886617699857165464622455072389592298181934585141545866613327124555956786112031882468358826068156790591994204220200909245886213797667531381790116425552548278587000040472233367446566806449865654245559871689606930407450177268239917082906154157503035964551868316590827646114124305053967479435871566765725742481880433147106748534939774751033297054488888949237915904335634132159924339793760754129518037633781345934124123321575609336136766808707237042639981623144503995199457070421002080170024976061852779397860207324220892158993325247481055954756367236744762071218647417996085199228177722260786836244841205950589828284484557778862719999953647166411608094539802509405973098178382410579931168041770751720663189333110435499963894628068065186720633625752092493966904985139629632903247733900401401089078685211272254423048637546044061817778516680154271980594279668595369469665318272700036337117020248991179991543031982425377238142726379017204949265920220728345361963592401200839208358284024637229673589263080021659941442897847032294783034965726923107253863294828150254368458931524672563276791055828559893780180928856609380670941736762758854356009105790308057315068166407213167238525978900136447871829516969256047144422292337948935288146673159526782798037214807432817544322524655139068203196541680855995034406949567196464123181342324736828944851704529214742287417443656152452815060859945414102275967118836455434755537851221822480386279502083074451931034719495539059695599320600429469807813809113193752016387636267464312928529954022418109973290323212600744057331327227048747586583331215111990833602375804128321240332248793615440633611151563811257957496956297069112563986535121559098490005879195058256540075925523482055730274525755103368385400889305629767429492474978703943161804564681375876265804598239542138758000489220091667447342888402055308129735639262911037240992805504678216590458530530637172816437966577964887498815608938640608694738681534763263626519238755934720203864754493138088052748244835070356143967627356285253253128743876574457729126539858072883690042659853941309108056343806699872863244481822507612354165502658786822029564749950788653160034171769707792488644972036160910918501357524634050935211993783684}
15533  2857934992304392113541593104811225916487970742423445920608929807: {124216,139743,884127,1318435,1582122,1719723,1876831,2402035,2823002,2882442,3145891,3661887,4032860,4494130,4633603,4717435,4766943,4777388,4839432,4942267,5005531,5179435,5392956,5444361,5660922,5740483,6057763,6215322,6387871,6418047,6723962,6824840,6870355,7240683,7677945,7790635,7841482,8189808,8200690,8244426,8334507,8957266,8972383,9125530,9152607,9213534,9348762,9454003,9605660,9696927,9779635,9840828,10240383,10374331,10542835,10656763,10950636,11053947,11185946,11310763,11400585,11526792,11609635,11735562,11858587,12053467,12067231,12160624,12191683,12405567,12580316,12651402,12817690,12826435,12967641,13167523,13419967,13572125,13680702,13737355,13812031,13910227,13931562,14095807,14288763,15092607,15101035,15252355,15296863,15311036,15360123,15381228,15391722,15569227,15790922,15999082,16038211,16286550,16484826,16596091,17372320,17416690,17517355,17954671,17971880,18034522,18121242,18270355,18302826,18420835,18480187,18529628,18553467,19164763,19172635,19279867,19388750,19543860,19623235,19650931,19874847,19960136,20016956,20068378,20218365,20523355,20665083,20832607,20846784,20900028,20949866,20967007,21020826,21138691,21439483,21566256,21569362,21924426,22105002,22178431,22455153,22501407,22558460,22911730,23007162,23266500,23341051,23452632,23520607,23547882,23662435,23748187,23797663,24262038,24310111,24587103,24628026,24716266,24817600,25196347,25211887,25575151,25649530,25910984,25973131,26025586,26384211,26407388,26732325,26915642,26916987,26988163,27070152,27174783,27318667,27397123,27398696,27468931,27494076,27538687,27820435,27860722,27919800,28099183,28245247,28394922,28514480,28707355,28717023,29149857,29170762,29209147,29445355,29450143,29485227,29577547,29781120,29928380,30035035,30198130,30283723,30453921,30716588,30779436,30823533,31210303,31242883,31357832,31409775,31524267,31711706,31766528,31800235,32078790,32210431,32498522,32538603,32543467,33065947,33297087,33384522,33426682,33503760,33548947,34104751,34159916,34217376,34386403,34448826,34597628,34728730,35053802,35167435,35277561,35334426,35737344,35815418,35819816,35880236,35914056,36042042,36237756,36282202,36335851,36535930,36766258,37279402,37492483,37528447,37691730,37724840,38061907,38160282,38288287,38494548,38552043,38610307,39185707,39241330,40026331,40141690,40204512,40297293,40403313,40724936,40993171,41020923,41218051,41424362,41674476,42163231,42200922,42247263,42440445,42524467,42702235,42779071,42827786,43133635,43283121,43334443,43468203,43469085,43510076,43575811,43843116,43880840,44144287,44308831,44632690,44712355,44933743,45230076,45234602,45269808,45549548,45652287,45815553,45906056,46002787,46304323,46364362,46367024,46376427,46426460,46772383,47000035,47040476,47089596,47109931,47333323,47338923,47387011,47712835,48170028,48220531,48440323,48537183,48776187,48799880,48993355,49135435,49165082,49365945,49822747,49922707,50076860,50270635,50436307,50546156,50821082,50928534,50993683,51083144,51242682,51257480,51303331,51527525,51644313,51760362,51968635,52162902,52381833,52642147,52657008,52845946,52882003,52928242,53041323,53341807,53505571,53510907,53559228,53560690,53654826,53665964,54542325,54681087,54731563,54899865,54998853,55471387,55711752,55908235,56188435,56400042,56454188,56633491,56748355,57255402,57401565,57468537,57664665,57999643,58005835,58178480,58249147,58364131,58390298,58402027,58549832,58559856,58619307,58621628,58703035,58792026,58882930,58939627,58962522,59000251,59170642,59177660,59239134,59455148,59512291,59517322,59573731,59677435,59870636,60092232,60222783,60324762,60384842,60927355,61134303,61228336,61384351,61481325,61508976,61588767,61833030,61879521,62070451,62156347,62359325,62362362,62675721,62703602,63003355,63117727,63298330,63734131,63780607,63814627,64090748,64136156,64272828,64297407,64316323,64412458,64483987,64545005,64620860,65402666,65450790,65474825,65580080,65640063,65868561,65879838,65932831,65955232,65976872,66306235,66332107,66666571,66698731,66701731,66753003,66817690,67089882,67196667,67200680,67296367,67386991,67426122,67603761,67695730,67860543,67998777,68098026,68358835,68414925,68445403,68515882,68581471,68746627,68881878,68962683,69197598,69282284,69383203,69607002,69814176,69822602,69932731,70098476,70402435,70404362,70443642,70496607,70659516,70674235,70756387,70777183,70935068,70964383,71013192,71081635,71368383,71396156,71546431,71612922,71626066,71652266,71903013,72019947,72030835,72599347,72789247,72835807,72975920,73112826,73248355,73285963,73610750,73777590,74177787,74199636,74223981,74246047,74350556,74445547,74469103,74716843,74831190,75270355,75367123,75369727,75600765,75602696,75604026,75803722,75942355,75957996,76314027,76374331,76436530,76487066,76517467,76639196,76886383,76915627,77454006,77545032,77562485,77586031,77854771,77860136,78361162,78407023,78540948,78569790,78635756,78696096,78753835,78776371,78849003,79084003,79154035,79260506,79561906,79567482,79819936,79828483,79889841,79953355,80181228,80485435,80640816,80648840,80930042,80937723,80950925,81182431,81200186,81234876,81328987,81646003,81767163,81869443,81907411,81990188,82030602,82097910,82209427,82255147,82503931,82552028,82837916,83004843,83308844,83342371,83377330,83514307,83807776,83943043,83944687,83974202,84057787,84234747,84315418,84482922,84636067,84719035,84809082,84818707,85050363,85053033,85092511,85105330,85113835,85221032,85297962,85529480,85544863,85598825,85659807,86004908,86033635,86264060,86283247,86297002,86404461,86437002,86517247,86828443,87180283,87238161,87448891,87571104,87592653,87691930,87898026,87999331,88002571,88078143,88090207,88141418,88257992,88332900,88533108,88677867,89084750,89275647,89797428,90048428,90219058,90324426,90451016,90662907,90720918,90729945,90893551,90992635,91030706,91122355,91130826,91386763,91481642,91607707,91623080,91647327,91677871,91693051,91723836,91881713,92207150,92354696,92661802,92821503,92934235,93074982,93169243,93432380,93599967,93756668,93837235,93907231,93987903,94221760,94283748,94296067,94504602,94514611,94717891,94984842,95071706,95165996,95526956,95722923,95725682,95873661,95944026,96220665,96267130,96390344,96582522,96679263,96778608,97049443,97141110,97141987,97313516,97381867,97527691,97625402,97804833,97973530,98153242,98196163,98327647,98387067,98517492,98832211,99112543,99205832,99290241,99328287,99500611,99515883,99745436,...,22791120607461151717609617579278432734644396443395128226442582048531500168556315492737853788587029041351214402424545698379766438605744218465180062903922622103686153072051918405072711791637086889041671726423309930414524731600258867602380074006560513199073436027756356829926549785748196933682608584388447272901877712318799919990686833935179168047823702538239102235185887991306330301363868829320696501297072685174638328822417880500060708350051169850209674798481368339807534410395611175265902359875624359231236254553946827802474886241469171186457580951219153807350148588613722820649720660122802409662126549945581733333423856873856503451198239886509690641131194277056450672018901186184982363414004205150213060855563959972434716755992799185605631503120255037464092779169096790310986331338238489987871221583932134550855117143106827971126994127798842266583391180254367261808925884742426726836668294079999930470749617412141809703764108959647267573615869896752062656127580994783999665653249945841942102097780080950438628138740950357477709444449354871600850602101633618027816908381634572956319066092726667775020231407970891419502893054204497977409050054505675530373486769987314547973638065857214089568525807423898880331092518042945388601801258812537426036955844510383894620032489912164346770548442174552448590384660880794942242225381552688397287008844915186583742839840670271393284914071006412605144138281534013658685462085972602249610819750857788968350204671807744275453884070716633438506923402932220009739290174197055822211149226316483786982708602304794812521283992551610424350794696184772013487105243417277556793822113431126165484228679222591289918121153413950678254683152133306776832733720579419253124611677896552079243308589543398980900644204711720713669790628024581454401196469392794931033627164959935484818901116085996990840573121379874996822667986250403563706192481860498373190423160950416727345716886936245434445603668845979802682338647735008818792587384810113888285223083595411788632655052578101333958444651144238712468055914742706847022063814398706897359313208137000733830137501171014332603082962194603458894366555861489208257017324885687795795955759224656949866947331248223413407960913042108022302144895439778858133902080305797131739707132079122367252605534215951441034427879879693115814861686593689809787109325535063989780911963662084515710049809294866722733761418531248253988180233044347124926182979740051257654561688732967458054241366377752036286951076402817990675526}
15534  2870638042673547801801104306472521696021758588016452169888154992: {108689,155270,186324,356753,573389,635213,943853,1036289,1128653,1178836,1282433,1650689,1825814,2109496,2195462,2292964,2322833,2373183,2414189,2657453,2748854,3474689,3843256,3926189,4016273,4035062,4136273,4234503,4323663,4465613,4584134,4674689,4823789,4882516,5041075,5269889,5314214,5655053,5971735,6009389,6049290,6355924,6452576,6538733,6685313,6741195,6890189,6948653,7129334,7166082,7190608,7259148,7547896,7560593,7821773,8031494,8089434,8211494,8287096,8491383,8531050,8557396,8630189,8773889,9322983,9574913,9631889,9654244,10085943,10143233,10237260,10256513,10640546,10894214,10919744,10992568,11102033,11112676,11604134,11605889,11745389,11762223,11940353,12007075,12079373,12135062,12203476,12284712,12301035,12366639,12465016,12854189,12909293,12929236,13017062,13121104,13266689,13435899,13544534,13653844,13688295,13732013,13820301,14023143,14140673,14222189,14303633,14408490,14412113,14420774,14493389,14600848,14738596,14761242,14952593,15200780,15369056,15647416,15703889,15725395,15837389,15917393,16183553,16425954,16540756,16778919,16855094,16868536,17029889,17108813,17290188,17371373,17465119,17603343,17606993,17717654,18240936,18284033,18387713,18575416,18852689,18870474,18977103,19051684,19090262,19138795,19226535,19289453,19431974,19545293,20123476,20130689,20383889,20434433,20459693,20480164,20508304,20521053,20522296,20793062,20837633,20897343,21301094,21338753,21715400,21886289,21935873,21979768,22306733,22454573,22464850,22481462,22552973,22626689,22672111,22817414,22966554,22994189,23071842,23087583,23162035,23432813,23686383,23821814,23973859,23998623,24158093,24161656,24403768,24429825,24446189,24518033,24727239,24737956,24852353,24950170,24995153,25021195,25279889,25318694,25916333,25986689,26058480,26125035,26499796,26639462,26957820,27033389,27051783,27181863,27194753,27438103,27454239,27460262,27553444,27794442,27795712,27866704,28018433,28027768,28198075,28277462,28358573,28603334,28629389,28755008,28808923,28809293,29083125,29232568,29315790,29368193,29412689,29415494,29473336,29568173,29745389,29811713,29940204,30001876,30025434,30076289,30102567,30361613,30676216,30949889,30993233,31022000,31058189,31209473,31270176,31338833,31342339,31350042,31397176,31424799,31531239,31960013,31990214,32349384,32354043,32388730,32782804,32837368,32886639,32910593,33009235,33119633,33157503,33422294,33556013,33803789,33837690,34248370,34367595,34510743,34580813,34763153,34783373,34899750,35156774,35178948,35186093,35321823,35426189,35565713,35618407,35634319,35643100,35889316,36021389,36093536,36233044,36393057,36511889,36562934,36609389,36658768,36718454,36942039,37074399,37190189,37226400,37410475,37663483,37820753,37859896,37953389,38179853,38289364,38386433,38395735,38474295,38740973,38866476,38880614,39038379,39197290,39313636,39349889,39386513,39611082,39708160,39950093,39986189,40112273,40167799,40373463,40434689,40571146,40577153,40605228,40648193,40863062,41001473,41019053,41039248,41098044,41176913,41241114,41542733,41619062,41784653,41791083,41801873,41879700,42032356,42042113,42070934,42348689,42517889,42592383,42671414,42699895,42771720,42803693,42904013,43020689,43219793,43247035,43269389,43384804,43549073,43756143,43793933,44004689,44053133,44396116,44512696,44607062,44612993,44671680,44697751,44774770,44849933,44850295,44892570,45006893,45050294,45194189,45297195,45503789,45623168,45733889,45931768,46074882,46169154,46188689,46517633,46813313,46959953,47036748,47112568,47156050,47567559,47649792,47723789,47827334,47885408,48034253,48056056,48118185,48118253,48188033,48317008,48561389,48698189,48739073,48747783,48753562,48807053,49130573,49264013,49303889,49330433,49409873,49697462,49698689,49957889,49983014,50047853,50076783,50140023,50255640,50277389,50566913,50616833,50753453,50880376,50906170,50938193,51231103,51239874,51326064,51402724,51529133,51673239,51896442,51939473,51974189,52093095,52106294,52123793,52294733,52317389,52486289,52580703,52686593,52785773,53001639,53090189,53111693,53218733,53250689,53574794,53606016,53642774,53721389,53723127,53729724,53820354,53871084,53894993,53905133,54046253,54063063,54146093,54353153,54356634,54387595,54423303,54690413,54694564,54803895,54851050,54869393,54916013,54925313,55149387,55308689,55565968,55573094,55709894,55831889,55848833,55919103,55983062,55983233,56057933,56123789,56229713,56267896,56329684,56421713,56461133,56508173,56537595,56587260,56663462,56678189,56851793,56936935,57157889,57240423,57333389,57354113,57382570,57436289,57456653,57550733,57590573,57616973,57649793,57688913,57710828,57729763,57741822,57753473,57861389,57905153,57957604,57958780,58033075,58046189,58106189,58326893,58349453,58383053,58449389,58457488,58698113,58773773,58800595,58861995,58876673,58895873,59129453,59194193,59354093,59377613,59396993,59442689,59468813,59498189,59523473,59586689,59593553,59676653,59692673,59724113,59733389,59757773,59885393,60045389,60051713,60055889,60105389,60199553,60203789,60212535,60214733,60244493,60263789,60266753,60275213,60275414,60292433,60300689,60306768,60318893,60323789,60325613,60359744,60869716,60999850,61087404,61835236,62136543,62511714,62596075,62625062,62786128,63118564,63182695,63269462,63301383,63526214,63738202,63853930,64071850,64226704,64241679,64716244,65034916,65265114,65764674,65811062,65821260,66152359,66187334,66811574,66949035,67060262,67082455,67432214,67679462,67845114,67851903,67904712,67926134,68076242,68127619,68323576,68324322,68859084,69013816,69515462,69546543,69550536,69639690,69842444,70120262,70209344,70560714,70567735,70634394,70721764,71080454,71347876,71412304,71539768,71675894,72149654,72255042,72503462,72723100,72855974,72908116,73187290,73199820,73277035,73331804,73747623,73972075,74282336,74318935,74483894,74568403,74838295,75115290,75200056,75819234,75970262,76231623,76340536,76392801,76535420,76624716,76864023,76886220,77225743,77432294,77640543,78079808,78159076,78244353,78389368,78616696,78979574,78985512,79089014,79144639,79268919,79392363,79851062,80113435,80122976,80170195,80297044,80338842,80341035,80433016,80482239,80498946,80776075,80810359,81247574,81512404,81867643,81975100,81989462,82011968,82118356,82305254,82444040,82471090,82506028,82724294,83149816,83555462,83567628,84000850,84070262,84341551,84600063,84681282,85697104,85729876,85793654,85883103,86292614,86602855,86805103,87267720,87520084,87573062,87585447,87623095,87824748,87839784,87865094,87932442,88188039,88324395,88443783,88668835,88755963,88766490,88858701,89004004,89182722,89245195,89275983,89453176,89595556,89684534,89805954,89901496,89967062,90138348,90480724,90487143,90577263,90665036,90797368,90899462,91219900,91842504,91950244,92136919,92263464,92451494,92749545,92809336,92938195,92989334,93085568,93543543,93924856,93995476,94055403,94212688,94224134,94311254,94503370,94684256,94947495,95106583,95157844,95345462,95483896,95798995,95870684,95939174,96023414,96026596,96136122,96191462,96204234,96409242,96442454,96618687,96646711,96931290,97325170,97333831,97483768,97596614,97696522,98103999,98176185,98294695,98370120,98801894,98819757,98903716,98932848,98965308,99774920,99777223,...,34186680911191727576414426368917649101966594665092692339663873072797250252834473239106780682880543562026821603636818547569649657908616327697770094355883933155529229608077877607609067687455630333562507589634964895621787097400388301403570111009840769798610154041634535244889824678622295400523912876582670909352816568478199879986030250902768752071735553807358653352778831986959495452045803243981044751945609027761957493233626820750091062525076754775314512197722052509711301615593416762898853539813436538846854381830920241703712329362203756779686371426828730711025222882920584230974580990184203614493189824918372600000135785310784755176797359829764535961696791415584676008028351779277473545121006307725319591283345939958652075133989198778408447254680382556196139168753645185466479497007357734981806832375898201826282675714660241956690491191698263399875086770381550892713388827113640090255002441119999895706124426118212714555646163439470901360423804845128093984191371492175999498479874918762913153146670121425657942208111425536216564166674032307401275903152450427041725362572451859434478599139090001662530347111956337129254339581306746966113575081758513295560230154980971821960457098785821134352788711135848320496638777064418082902701888218806139055433766765575841930048734868246520155822663261828672885576991321192413363338072329032595930513267372779875614259761005407089927371106509618907716207422301020488028193128958903374416229626286683452525307007711616413180826106074950157760385104398330014608935261295583733316723839474725680474062903457192218781925988827415636526192044277158020230657865125916335190733170146689248226343018833886934877181730120926017382024728199960165249100580869128879686917516844828118864962884315098471350966307067581070504685942036872181601794704089192396550440747439903227228351674128995486260859682069812495234001979375605345559288722790747559785634741425625091018575330404368151668405503268969704023507971602513228188881077215170832427834625393117682948982578867152000937666976716358068702083872114060270533095721598060346038969812205501100745206251756521498904624443291905188341549833792233812385525987328531693693933638836985424800420996872335120111941369563162033453217343159668287200853120458695697609560698118683550878908301323927161551641819819539673722292529890534714680663988302595984671367945493126773565074713942300084100642127796872380982270349566520687389274469610076886481842533099451187081362049566628054430426614604226986013289}
15535  2883397109704274119676647085745756477461039987066615740517956331: {232905,248432,279486,1473545,1768254,1845809,2218073,2636870,2738721,2866205,3164244,3293193,3362849,3439446,3753662,4123281,4804070,5283113,5594417,5646004,5764884,5840861,6052593,6103145,6291782,6604409,6770441,6876201,7251209,7323774,7944905,7971321,8065720,8988260,9073935,9267206,9434870,9533886,9554776,9618497,9678864,9884534,10011062,10358870,10694001,10696745,10749123,10785912,10888722,10906889,11321844,11480966,12047241,12067805,12115526,12134151,12260573,12317241,12407153,12430644,12641441,12775742,12796575,12836094,13447924,13649680,13691489,13740710,13890845,14261273,14481366,14759969,14869553,15254345,15355890,15581270,15682964,15859961,15960819,16161545,16253489,16341321,16379616,16401380,16460609,16488852,16658681,16669014,17067305,17406201,17598689,17740649,17914532,17944766,17957009,18202593,18251060,18305214,18423245,18427068,18697524,18908006,19000975,19211320,19232297,19393854,19525593,19559270,19681656,20316801,20480766,20609513,20675945,20734577,20748662,21085670,21141449,21166109,21313526,21353297,21419441,21612735,21631161,21677753,21840221,21901272,22107894,22141863,22371892,22621526,22801170,23053584,23219270,23471124,23717174,23814605,24106934,24134462,24321248,24383366,24524297,24638931,24811134,25154345,25160632,25282641,25302804,25385993,25534553,25578497,25600205,25635380,25652870,25789169,25922081,25935282,26087057,26210873,26335046,26576481,26839934,26841689,26869289,27144250,27240113,27361404,27472529,27474710,27542273,27624062,27797081,27820454,27863124,28191614,28305711,28577526,28635393,28732697,29147961,29202713,29777501,29997977,30163241,30185214,30202070,30504710,30593726,30622072,30720246,30762456,30783444,30922445,31138454,31189593,31581844,31951641,31998164,32076422,32545721,32547713,32573100,32969652,33124745,33127409,33192182,33229169,33697275,33703337,33722193,34226121,34441805,34449831,34519901,34607763,34744640,34833380,35034710,35185481,35343257,35541473,35732721,35909342,35943760,36069044,36242484,36540710,36605652,36841670,36960374,37059256,37106934,37425255,37502345,37978041,38066873,38329526,38345270,38460461,38559734,38777500,38948609,39087720,39246470,39301862,39749694,39920272,39959193,40033912,40136756,40190297,40436730,40526729,40610657,40978505,40998509,41046710,41190393,41223497,41330166,41665214,41691663,41693568,41800056,41899732,41934014,42041652,42049049,42277382,42377969,42416193,42878966,42905001,43132512,43138724,43848852,43973685,44123241,44210004,44229209,44351801,44356862,44520329,44553875,44861645,44910306,45002814,45038151,45116920,45291305,45815897,45823460,46014324,46310381,46533000,46682102,46905264,47025063,47041214,47095764,47324870,47445233,47496374,47595326,47861705,47985321,48524076,48583095,48620222,48702377,49142045,49147481,49174206,49175393,49234409,49256052,49432532,49635200,49829273,50133441,50392694,50423774,50756535,51150302,51299060,51372555,51387809,51821968,51824177,51946262,52051172,52170521,52349625,52357961,52540445,52735161,52768422,52814776,53348753,53464650,53831284,53833974,53914673,53976326,54140304,54231005,54349566,54637334,54794246,54797392,54844401,54906209,54937862,54988152,55077374,55077681,55274189,55317713,55495145,55640870,55675373,55721444,55839600,56198366,56298209,56490494,56789844,57028960,57339017,57351773,57414710,57434046,57543401,58299714,58320921,58341524,58418294,58795935,58890710,58900286,58970454,59155094,59416623,59520077,59562240,59783129,59856760,60070070,60387089,60396260,60539249,60567446,60856719,60907842,60932969,61294593,61433176,61558872,61647066,61861671,62420606,62428593,62429753,62485766,62589869,62597297,62715664,62819550,63048534,63106401,63423412,63533056,63600470,63822953,64007121,64157580,64253405,64420862,64996193,64997044,65077206,65086934,65800049,65941457,66131894,66513737,66594174,66769044,66797969,66843113,66853364,66910593,67007520,67097894,67162155,67338855,67575441,68001041,68209502,68319832,68368205,68434752,68580653,68590697,68772806,68789609,68839901,68897652,69112323,69135089,69195256,69253731,69372857,69457460,69883997,70087601,70107604,70167569,70334870,70378889,70412105,70555122,70668852,70734075,71474688,71630836,71639632,71741001,71760472,71769869,71828112,71878433,72084084,72100121,72138535,72447005,72448475,72475512,72564404,72671702,72756089,73071860,73130343,73457501,73532516,74509697,74546193,74558804,74974521,74984966,75056894,75377081,75383460,75449680,76087145,76123814,76320564,76359255,76576574,76705673,76859811,76989096,77104086,77220614,77294045,77844663,77864909,77924633,78159441,78271529,78371414,78417281,78482660,78663809,78825773,78898205,78991337,79447697,79771553,80052662,80283380,80362191,80409024,80464161,80594586,80730531,80806626,80895305,81208169,81293645,81449872,81534951,81907841,81986342,82041846,82184249,82220153,82276575,82436102,82647773,82848724,83348952,83359641,83548409,83564841,83974593,84326462,84401844,84494526,84554873,84619037,84647153,84880890,84995193,85048934,85298297,85404470,85457249,85558142,85655572,85706861,86073855,86078681,86267270,86528513,86566242,86612733,86668886,86936406,86938170,87020152,87151622,87303055,87686232,87761680,87981101,88204697,88288574,88336697,88402205,88617662,88713761,88809821,89163833,89184845,89265380,89424710,89867486,90260573,90363007,90413121,90460152,90469204,90539616,90668273,90903875,90985709,91099096,91135145,91304574,91499775,91543577,91631106,91664755,91689809,91812112,92005574,92608646,92728724,92734048,92752854,92828729,92852920,93421721,93479849,93544766,93767571,93937593,94000070,94080952,94179192,94219862,94666646,94677846,94713053,94730249,94774022,94868609,94904193,94997153,95289321,95425670,95607303,95669275,95702369,95780895,95942873,95967857,96107775,96340056,96441062,96880646,97074366,97540577,97552374,97599760,97698845,97897671,97986710,98270870,98330164,98563409,98647011,98655953,98716593,98731890,98943929,99281001,99341021,99514289,99645494,99845414,99878381,...,45582241214922303435219235158556865469288792886790256452885164097063000337112630985475707577174058082702428804849091396759532877211488436930360125807845244207372306144103836810145423583274173778083343452846619860829049463200517735204760148013121026398146872055512713659853099571496393867365217168776894545803755424637599839981373667870358336095647405076478204470371775982612660602727737658641393002594145370349276657644835761000121416700102339700419349596962736679615068820791222350531804719751248718462472509107893655604949772482938342372915161902438307614700297177227445641299441320245604819324253099891163466666847713747713006902396479773019381282262388554112901344037802372369964726828008410300426121711127919944869433511985598371211263006240510074928185558338193580621972662676476979975742443167864269101710234286213655942253988255597684533166782360508734523617851769484853453673336588159999860941499234824283619407528217919294535147231739793504125312255161989567999331306499891683884204195560161900877256277481900714955418888898709743201701204203267236055633816763269145912638132185453335550040462815941782839005786108408995954818100109011351060746973539974629095947276131714428179137051614847797760662185036085890777203602517625074852073911689020767789240064979824328693541096884349104897180769321761589884484450763105376794574017689830373167485679681340542786569828142012825210288276563068027317370924171945204499221639501715577936700409343615488550907768141433266877013846805864440019478580348394111644422298452632967573965417204609589625042567985103220848701589392369544026974210486834555113587644226862252330968457358445182579836242306827901356509366304266613553665467441158838506249223355793104158486617179086797961801288409423441427339581256049162908802392938785589862067254329919870969637802232171993981681146242759749993645335972500807127412384963720996746380846321900833454691433773872490868891207337691959605364677295470017637585174769620227776570446167190823577265310105156202667916889302288477424936111829485413694044127628797413794718626416274001467660275002342028665206165924389206917788733111722978416514034649771375591591911518449313899733894662496446826815921826084216044604289790879557716267804160611594263479414264158244734505211068431902882068855759759386231629723373187379619574218651070127979561823927324169031420099618589733445467522837062496507976360466088694249852365959480102515309123377465934916108482732755504072573902152805635981351052}
15536  2896212438458683996579549353308765899850614852396654680128681258: {217378,310540,372648,419229,666199,713506,1146778,1270426,1497583,1681543,1887706,2072578,2257306,2357672,2505799,2564866,2652381,3301378,3414799,3505303,3651628,3955305,4218992,4226743,4390924,4585928,4645666,4746366,4828378,5122063,5159169,5300263,5314906,5497708,5630493,6010183,6949378,6978799,7057505,7206105,7686512,7851799,7852378,8032546,8070124,8272546,8360429,8469006,8647326,8931226,9061903,9147799,9168268,9349378,9437673,9647578,9765032,10082150,10512343,10539778,10628428,10934983,10985661,11187703,11235325,11310106,11355823,11943470,12018778,12098580,12108799,12524599,12711848,12905152,12938599,13077466,13268503,13370626,13482390,13780378,13897306,13900809,14152305,14258668,14300829,14332164,14381216,14518296,14826801,14981599,15016593,15095792,15121186,15538305,15643546,15706063,16062988,16106023,16178868,16265503,16333083,16422988,16574192,16809905,16982766,17062100,17114792,17221449,17260378,17373799,17547778,18173289,18645966,19149826,19163613,19254141,19263778,19308488,19603705,20158903,20171886,20286466,20462599,20474520,20501725,20513026,20611065,21281092,21722049,21788428,21839488,21985136,22015553,22204066,22225352,22393165,22813825,22997503,23033835,23070799,23208268,23211778,23371905,23490778,23524446,23880706,24014150,24089383,24158746,24270124,24406952,24449743,24569424,24602070,24733278,24930032,25003521,25520023,25708378,25818586,25858472,26034124,26242208,26533378,26794313,26871798,26917149,27060463,27089068,27307688,27376590,27457821,27464026,27640602,27964865,28046286,28281346,28362009,28444378,28607266,28633663,28816980,28824226,28841548,28986778,29090781,29201696,29338905,29477192,29522484,29771983,29905186,30102823,30300463,30401560,30721149,30738112,31122993,31278943,31294832,31407778,31408183,31450790,31628505,31674778,31834786,31877329,31922263,31970289,32044225,32304799,32367106,32426849,32621599,32851908,33081512,33161841,33187303,33557838,33710188,33737072,33809023,33932289,34046909,34059778,34117183,34201755,34217626,34484599,34580376,34728103,34742746,34788799,34828905,34930238,35029673,35206686,35213986,35435308,35575761,35630983,35987599,36160401,36201693,36481872,36568066,36575049,36775426,36809623,37150832,37157599,37216701,37705378,37740948,37788823,37954206,38072863,38103368,38180524,38277590,38355103,38453070,38479305,38578906,38863948,38902923,39090586,39135799,39477305,39502569,39997705,40010743,40246952,40259901,40261378,40716375,40767778,40868866,40919386,40960328,41016608,41025799,41042106,41044592,41212065,41436093,41586124,41675266,41730681,41794686,41808799,42094481,42117463,42287421,42372703,42602188,42677506,42827599,42866289,43077799,43430800,43541725,43572799,43768783,43772578,43866343,43871746,43959536,44511389,44541199,44613466,44909146,44929700,44962924,44967583,45086305,45105946,45253378,45277821,45303105,45344222,45527023,45634828,45711199,45757065,45890589,45933108,45988378,46080369,46143684,46175166,46212929,46324070,46707681,46836199,46865626,46880263,47273599,47372766,47643628,47746423,47947718,47997246,48114633,48293983,48316186,48323312,48471875,48583783,48747799,48807536,48859650,48892378,49036066,49152799,49454478,49475912,49704706,49788273,49900340,49979863,49990306,50042390,50170945,50286583,50559778,50637388,51431599,51609799,51832666,51973378,52116960,52167943,52250070,52374665,52507423,52552065,52806799,52999592,53003143,53100343,53260903,53278924,53576623,53638903,53754029,53864013,53915599,53915640,53923405,54066778,54103566,54363726,54389506,54811065,54876206,54908263,54908478,54920524,54936199,55106888,55262505,55319743,55440561,55479799,55506223,55588884,55591424,55660401,55733408,55868599,56036866,56055536,56265463,56396150,56554924,56620783,56689903,56717146,56937799,57206668,57258778,57279325,57468799,57494289,57510016,57517905,57617846,57618586,57668599,57839601,57880063,57936223,58166250,58294063,58412503,58465136,58543543,58631580,58654423,58736386,58806703,58825378,58830988,58869705,58946672,58952793,58993903,59136346,59142799,59270599,59448799,59460103,59490778,59600503,59623426,59624541,59747383,59779853,59853223,59880408,59970943,60003752,60027103,60040423,60050868,60066199,60152578,60182623,60205134,60257143,60303799,60314599,60332023,60545849,60655095,60723226,61352432,61570065,61790665,61899778,61986466,61995249,62044000,62116378,62418946,62497821,62540352,62677666,62684678,62700084,62790413,62794352,62849598,62901021,63062478,63416073,63920026,63980428,64123825,64318449,64698768,64708086,64777460,65063965,65565608,65674736,65773278,65821186,66018470,66239266,66315006,66535293,66844588,67112026,67289105,67365459,67504221,67607578,67675380,68496740,68735190,69021486,69161626,69526306,69566746,69651805,69799500,70023153,70313548,70357896,70372186,70561821,70643646,70852378,70987305,71131426,71236814,71244561,71268638,71286200,71392989,71778632,72042778,72187072,72466088,72786114,72926905,72930333,73023778,73125868,73218778,73317536,73436908,73761309,73884078,74148798,74380378,74452800,74820950,75326966,75495325,75589041,75635661,75641506,75719792,75906778,76142633,76359706,76578728,76725453,76761553,76772866,76791470,76948590,77481946,77732952,77761228,77919393,78076758,78394580,78627272,78699778,78773026,79152633,79222164,79279265,79416320,79711709,79900186,79972378,80196975,80224546,80335598,80746926,80750961,80869378,80964489,81142292,81154306,81210456,81246305,81296386,81524349,81726124,81956001,82002946,82038106,82078496,82191369,82196088,82320833,82353826,82406793,82482228,82616061,83085466,83238124,83461305,83566705,83569306,83582166,83603746,83759400,84064712,84084226,84141868,84297549,84697378,84735741,85035778,85184766,85342828,85399790,85543440,85607386,85808026,86041378,86122065,86151069,86439586,86494070,86538778,86769608,86821825,87098146,87449571,87512286,87587866,87627441,87634505,87960829,88009378,88106266,88336065,88350429,88455681,88455773,88732641,88792232,89025392,89214124,89225986,89343360,89395502,89538545,89549540,89699866,89700590,89785140,90013786,90100588,90105105,90388378,90594390,90705505,90851169,91007578,91246336,91339825,91361763,91467778,91863536,91915645,92149764,92338308,92377378,92470599,93035266,93198505,93626626,93630909,93728649,93915437,93919906,94073496,94225136,94229325,94312100,94572801,95135118,95299584,95400705,95447578,95654668,95770816,96068506,96112112,96236370,96236506,96376066,96631293,96634016,96752669,97122778,97396378,97478146,97495566,97507124,97614106,97615809,97630401,98103325,98261146,98528026,98607778,98660866,98794829,98819746,99151393,99197841,99394924,99397378,99891261,99915778,99966028,...,68373361822383455152828852737835298203933189330185384679327746145594500505668946478213561365761087124053643207273637095139299315817232655395540188711767866311058459216155755215218135374911260667125015179269929791243574194800776602807140222019681539597220308083269070489779649357244590801047825753165341818705633136956399759972060501805537504143471107614717306705557663973918990904091606487962089503891218055523914986467253641500182125050153509550629024395444105019422603231186833525797707079626873077693708763661840483407424658724407513559372742853657461422050445765841168461949161980368407228986379649836745200000271570621569510353594719659529071923393582831169352016056703558554947090242012615450639182566691879917304150267978397556816894509360765112392278337507290370932958994014715469963613664751796403652565351429320483913380982383396526799750173540763101785426777654227280180510004882239999791412248852236425429111292326878941802720847609690256187968382742984351998996959749837525826306293340242851315884416222851072433128333348064614802551806304900854083450725144903718868957198278180003325060694223912674258508679162613493932227150163517026591120460309961943643920914197571642268705577422271696640993277554128836165805403776437612278110867533531151683860097469736493040311645326523657345771153982642384826726676144658065191861026534745559751228519522010814179854742213019237815432414844602040976056386257917806748832459252573366905050614015423232826361652212149900315520770208796660029217870522591167466633447678949451360948125806914384437563851977654831273052384088554316040461315730251832670381466340293378496452686037667773869754363460241852034764049456399920330498201161738257759373835033689656237729925768630196942701932614135162141009371884073744363203589408178384793100881494879806454456703348257990972521719364139624990468003958751210691118577445581495119571269482851250182037150660808736303336811006537939408047015943205026456377762154430341664855669250786235365897965157734304001875333953432716137404167744228120541066191443196120692077939624411002201490412503513042997809248886583810376683099667584467624771051974657063387387867277673970849600841993744670240223882739126324066906434686319336574401706240917391395219121396237367101757816602647854323103283639639079347444585059781069429361327976605191969342735890986253547130149427884600168201284255593744761964540699133041374778548939220153772963685066198902374162724099133256108860853229208453972026578}
15537  2909084275062497571694789195483033856199764490864365117616915874: {326067,388175,465810,496864,558972,1070259,1720167,1905639,2062963,2621359,2831559,2947090,3108867,3385959,3536508,3691618,3847299,4012687,4436146,4564535,4943543,4952067,5273740,5477442,5488655,5732410,6059327,6243679,6328488,6586386,6725698,6872135,6878892,6968499,7119549,7242567,7507324,7972359,8246562,8544403,9020759,9608140,10038083,10087655,10424067,10566226,11122867,11188834,11292008,11460335,11529768,11681722,11778567,12048819,12105186,12206290,12362927,12408819,12583564,12703509,12970989,13208818,13285535,13396839,13540882,13752402,13935767,14024067,14099459,14471367,14502418,14591039,14647548,14662999,14975443,15123225,15507383,15809667,15889810,15942642,16131440,16719827,16894927,16965159,17823335,17915205,17976520,18028167,18147870,18390263,18534412,18846959,18869740,19067772,19109552,19158359,19236994,19357728,19447183,19453447,19616199,19669123,19769068,20022124,20055939,20078735,20223585,20528735,20670567,20717740,20845959,21073343,21327625,21356083,21388002,21393490,21498246,21571824,21777444,21813778,22626163,22643688,22681779,22961932,23173939,23465319,23894227,24094482,24135610,24231052,24268302,24521146,24634482,24814306,24861288,25202903,25218419,25282882,25474149,25551484,25593150,25672188,25792543,25890567,26321667,26601365,26895848,27235535,27299360,27382978,27481420,27781690,27968949,28036247,28214483,28522546,28568899,28724739,28895667,28946323,28962732,29010335,29519938,29739106,30177199,30257829,30337655,30429699,30508690,30711780,30769539,31162540,31365928,31719922,31921638,32066803,32323090,32506978,32542655,32549959,32682642,32759232,32802760,32921218,32977704,33217943,33306099,33317362,33338028,33340447,33557639,33861335,34113587,34134610,34812402,34817667,34845823,35197378,35216083,35236167,35286669,35481298,35804399,35821059,35827007,35829064,35840287,35889532,35914018,36021225,36051935,36238119,36405186,36502120,36610428,36846490,36854136,36903105,37099917,37138483,37395048,37780723,37816012,38001950,38201603,38422640,38464594,38465479,38562567,38727879,38787708,39051186,39118540,39363312,39800067,40027199,40189523,40307697,40633602,40961532,41064885,41196039,41219026,41351890,41460903,41469154,41497324,41668327,42003559,42069429,42137735,42171340,42282898,42332218,42422019,42627052,42666567,42706594,42838882,42910899,43165463,43225470,43236339,43262322,43291423,43355506,43480167,43680442,43802544,44155859,44215788,44283726,44294135,44445187,44743784,44857779,45243052,45602340,45821863,46107168,46348979,46374643,46438540,46942248,47111667,47176185,47434348,47512167,47629210,47725655,47752179,47789303,48213868,48218527,48268924,48452927,48550659,48579935,48642496,48766732,49048594,49095959,49277862,49622268,49773263,50308690,50321264,50336757,50565282,50605608,50771986,51069106,51089667,51156994,51200410,51270760,51305740,51326439,51578338,51844162,51870564,51982655,52114119,52174114,52395357,52421746,52450439,52503283,52670092,52810029,52820979,53152962,53252735,53679868,53683378,53738578,54288500,54480226,54722808,54852099,54945058,54949420,55084546,55163139,55248124,55594162,55640908,55726248,56071639,56162125,56203655,56383228,56558067,56611422,56931309,57043535,57155052,57270786,57369907,57416385,57465394,57679605,57868359,57921139,57999119,58295922,58405426,58417223,58635879,58916759,59554535,59555002,59995954,60326482,60370428,60392067,60404140,60551807,60731047,61009420,61151667,61187452,61244144,61303299,61365763,61379079,61440492,61524912,61563159,61566888,61844890,62071903,62276908,62375425,62379186,62512899,62692029,62806303,63163688,63296735,63407827,63903282,63996328,64016259,64152844,64422383,64771223,65091442,65095426,65146200,65152823,65375479,65658867,65807619,65939304,66249490,66254818,66366239,66384364,66458338,66522439,66534247,66598655,66684047,66920199,67006387,67363719,67394550,67406674,67444386,67658919,67748999,67880067,68016333,68166739,68452242,68650655,68798863,68883610,68899662,68982567,69039802,69215526,69262749,69486105,69489280,69628163,69666760,69953383,70069420,70298439,70370962,70686514,70693655,71059149,71082946,71269439,71465442,71508335,71818684,71887520,71921577,71995869,72138088,72237727,72474279,72484968,73081420,73211304,73289475,73338567,73499459,73538735,73554099,73556623,73683340,73920748,74118512,74181717,74213868,74465303,74557059,74703583,74850510,74985459,75004690,75063585,75839667,75845687,75923407,75956082,76133746,76659052,76690540,76920922,77119468,77361107,77555000,77693203,77748999,77897218,77960067,78175440,78375105,78492940,78603724,79001623,79499388,79572839,79813427,79840544,79918386,79975535,80067824,80213383,80273512,80380594,80873460,80971825,81053458,81100167,81155349,81221314,81464563,81545589,81584259,81667247,81957010,81997018,82018639,82093420,82314309,82345199,82362717,82380786,82446994,82660332,83330428,83383326,83387136,83555735,83600112,83799464,83868028,84055299,84080183,84083304,84098098,84554764,84594225,84755938,84832386,84947239,85075719,85620925,85754863,85757932,85810002,85888167,86265024,86271503,86277448,86426769,86427879,87202967,87249375,87697704,87891935,87947370,88104579,88113299,88238067,88246482,88420008,88458418,88703602,88704519,88713724,89040658,89107750,89236167,89435139,89505527,89723290,89820612,89954767,90005628,90076302,90228867,90233840,90307701,90582610,90652019,90652159,91084839,91407335,91617679,91631543,91631794,91646920,91715063,91796135,92028648,92527583,92620762,92849667,92979699,93066000,93174567,93364204,93615863,93628419,93810528,94016499,94027017,94050126,94082428,94191528,94274397,94428883,94565363,94593717,94649740,94890466,94992748,95190652,95511043,95715487,95723410,95880039,95970642,96461123,96588559,97048152,97062129,97166190,97167263,97201535,97240444,97404754,97993225,98284090,98294962,98348412,98350786,98450879,98468818,98512104,98557007,98576947,98659917,98731779,98865064,99027705,99270400,99358899,99472509,99658546,99909127,...,102560042733575182729243279106752947305899783995278077018991619218391750758503419717320342048641630686080464810910455642708948973725848983093310283067651799466587688824233632822827203062366891000687522768904894686865361292201164904210710333029522309395830462124903605734669474035866886201571738629748012728058449705434599639958090752708306256215206661422075960058336495960878486356137409731943134255836827083285872479700880462250273187575230264325943536593166157529133904846780250288696560619440309616540563145492760725111136988086611270339059114280486192133075668648761752692923742970552610843479569474755117800000407355932354265530392079489293607885090374246754028024085055337832420635363018923175958773850037819875956225401967596335225341764041147668588417506260935556399438491022073204945420497127694605478848027143980725870071473575094790199625260311144652678140166481340920270765007323359999687118373278354638143666938490318412704081271414535384281952574114476527998495439624756288739459440010364276973826624334276608649692500022096922203827709457351281125176087717355578303435797417270004987591041335869011387763018743920240898340725245275539886680690464942915465881371296357463403058366133407544961489916331193254248708105664656418417166301300296727525790146204604739560467467989785486018656730973963577240090014216987097787791539802118339626842779283016221269782113319528856723148622266903061464084579386876710123248688878860050357575921023134849239542478318224850473281155313194990043826805783886751199950171518424177041422188710371576656345777966482246909578576132831474060691973595377749005572199510440067744679029056501660804631545190362778052146074184599880495747301742607386639060752550534484356594888652945295414052898921202743211514057826110616544805384112267577189651322242319709681685055022386986458782579046209437485702005938126816036677866168372242679356904224276875273055725991213104455005216509806909112070523914807539684566643231645512497283503876179353048846947736601456002813000930149074206106251616342180811599287164794181038116909436616503302235618755269564496713873329875715565024649501376701437156577961985595081081800916510956274401262990617005360335824108689486100359652029479004861602559361376087092828682094356050652636724903971781484654925459458619021166877589671604144041991964907787954014103836479380320695224141826900252301926383390617142946811048699562062167823408830230659445527599298353561244086148699884163291279843812680958039867}
15538  2922012866709621810346964592995101340941297026800790070507270619: {170797,434756,621080,635377,698715,745296,838458,1098157,1332398,1427012,2109937,2293556,2540852,2749261,2995166,3363086,3656461,3775412,3837037,4107361,4145156,4420635,4514612,4715344,4735597,5011598,5129732,5304762,5537427,5892961,6069937,6511117,6592175,6602756,6654219,6829598,6950497,7010606,7303256,7823857,7910610,8216163,8437984,8453486,8517361,8598615,8776237,8781848,8948461,9171856,9291332,9384155,9492732,9548977,9634477,9656756,9805261,9879579,9880507,10088547,10244126,10318338,10600526,10629812,10995416,11260986,11748577,12010175,12020366,12082657,12332461,12369843,12912817,13325197,13817677,13898756,13957598,14115010,14226097,14412210,14794861,15198961,15373024,15703598,15704756,15729455,15761677,15849339,16065092,16140248,16545092,16559437,16720858,16783251,16938012,17294652,17428657,17522583,17862452,18123806,18157779,18295598,18309435,18336536,18366961,18698756,18875346,19294897,19295156,19530064,19813227,20164300,20311323,20440237,20628603,20818417,20893837,21024686,21079556,21256856,21753627,21869966,21942157,21971322,22375406,22387117,22470650,22620212,22711646,22755937,23168015,23488177,23533867,23587175,23633761,23834715,23886940,23913963,24037556,24197160,24217598,24573037,24711335,25027655,25049198,25287277,25423696,25782961,25810304,25877198,25897175,26154932,26537006,26741252,26964780,27221805,27445187,27524461,27560756,27794612,27801618,27867361,28004017,28072237,28304610,28517336,28601658,28664328,28682977,28702415,28762432,28855491,29036592,29421517,29653602,29963198,30033186,30191584,30242372,30288815,30414577,30545761,31002637,31076610,31287092,31350431,31412126,31649197,31713457,31939355,32082003,32090235,32125976,32212046,32247369,32357736,32531006,32666166,32720667,32845976,32920717,33148384,33421261,33619810,33855457,33965532,34124200,34229584,34351775,34442898,34520756,34747598,34955761,35095556,35627603,36141723,36203415,36346578,36402453,36445261,36620977,36781719,36912397,36951723,37221459,37291932,37317361,37604461,37673207,37718797,37924323,38003377,38299652,38327226,38389725,38508282,38527556,38616976,38901937,38953175,39150811,39207410,39399277,39563761,39999217,40317806,40343772,40376461,40572932,40925198,40949040,41003450,41026052,41074467,41172961,41222130,41672535,41850157,42362797,42562184,42616417,42783819,43117019,43444098,43563757,43576856,43678976,43970272,44031106,44279907,44293297,44408132,44450704,44608659,44770657,44786330,44861915,45240817,45519457,45627650,45763035,45995006,46067670,46068961,46141598,46294861,46416536,46423556,46518961,46743810,46829677,46981556,47048892,47093197,47180461,47270015,47579883,47740657,47761412,47882457,48028300,48037261,48178766,48317492,48484635,48540248,48760467,48813904,48898175,48899486,49023963,49138848,49148257,49204140,49252247,49348237,49381827,49466556,49546417,49748023,49860064,49976043,50007042,50622961,50809261,50883277,51040046,51201915,51416756,51536461,51637172,51716944,51871655,51958957,52068248,52218603,52303117,52337137,52484416,52714175,52739761,52796067,52904461,52969837,53066756,53132017,53221947,53283815,53482477,53588626,53743596,53834298,53871027,53946337,54120926,54157261,54178136,54607779,54615376,54683437,54740461,54753180,54915642,54928052,55076557,55104097,55213537,55268227,55269735,55281204,55348717,55871437,55929730,55996787,56092572,56553815,56562692,56670961,56716897,56724018,56888756,57002925,57181837,57214532,57267326,57392077,57575137,57633960,57648452,57683096,57696891,57886177,57973556,58048175,58071217,58181562,58196461,58231597,58249057,58283761,58403392,58576779,58677810,58917361,58954384,59044968,59190961,59216737,59254861,59292935,59400877,59525617,59543966,59547361,59621197,59767537,59810372,59921761,59975437,60084877,60143917,60205646,60256237,60260017,60267335,60284461,60299761,60324961,60336155,60600926,60803120,60950403,60958415,61442298,61476224,61828539,62027835,62203731,62245986,62557886,62589664,62815556,62816366,62901580,63120827,63257010,63349556,63424347,63498327,63669572,63754658,63844526,63940578,64059891,64088450,64132175,64258323,64609598,64734212,64838205,64853698,64893483,65033259,65243198,65520663,65703816,65837615,66163024,66323682,66374606,66425589,67099835,67115676,67420376,67474144,67618046,67860625,67864578,68093818,68119556,68234366,68403510,68435252,68686775,68969198,69060155,69160752,69456206,69485492,69551135,69577598,69657810,69860476,70059346,70239323,70413372,70427972,70479035,70870616,71151522,71261966,71443815,71975198,72320802,72403386,72963744,73136132,73150098,73324531,73550852,73572891,73619246,73916793,74301664,74315198,74433402,75410756,75463035,75481896,75492767,75505175,75577646,75847923,75908412,76145726,76157979,76206736,76261775,76361048,76484315,76555180,76603659,76710206,76735491,76800615,76906140,76958610,77157812,77367507,77727896,77766243,77805846,77846135,78181172,78261171,78271598,78632619,78954610,79005138,79729443,79995410,80021486,80191055,80493904,80506019,80519802,80522756,80525067,80607867,81432750,81535556,81720339,81737732,81838772,81920656,82033216,82051598,82084212,82089184,82417587,82424130,82626819,82872186,82980455,83172248,83350532,83391243,83461362,83589372,83617598,84188962,84234926,84574842,84745406,84917133,85204376,85355012,85655198,85732578,85906179,86155598,86198091,86506931,86861600,87083450,87145598,87443883,87537566,87545156,87586775,87608139,87732686,87743492,87919072,89022778,89082398,89226932,89332503,89773355,89818292,89859400,89925848,89935166,89993931,90172610,90211892,90489723,90506756,90555642,90606210,90688444,90718199,91054046,91089551,91269656,91351775,91422398,91514130,91781178,91866216,91976756,92104175,92160738,92287368,92350332,92400935,92425858,92648140,92767335,93415362,93568779,93672398,93731252,93760526,94204747,94547198,94745532,95287256,95492846,95823815,95854923,95863175,95895436,95994492,96229266,96399335,96587966,96632372,96646624,96943750,97167566,97495598,97512527,97615072,97637163,97643139,97719300,97784756,98072132,98116175,98254655,98305598,98908956,98951824,99374235,99382227,99409412,99576546,99687507,99800680,99959726,99980612,...,136746723644766910305657705475670596407866378660370769358655492291189001011337892956427122731522174248107286414547274190278598631634465310791080377423535732622116918432311510430436270749822521334250030358539859582487148389601553205614280444039363079194440616166538140979559298714489181602095651506330683637411266273912799519944121003611075008286942215229434613411115327947837981808183212975924179007782436111047829972934507283000364250100307019101258048790888210038845206462373667051595414159253746155387417527323680966814849317448815027118745485707314922844100891531682336923898323960736814457972759299673490400000543141243139020707189439319058143846787165662338704032113407117109894180484025230901278365133383759834608300535956795113633789018721530224784556675014580741865917988029430939927227329503592807305130702858640967826761964766793053599500347081526203570853555308454560361020009764479999582824497704472850858222584653757883605441695219380512375936765485968703997993919499675051652612586680485702631768832445702144866256666696129229605103612609801708166901450289807437737914396556360006650121388447825348517017358325226987864454300327034053182240920619923887287841828395143284537411154844543393281986555108257672331610807552875224556221735067062303367720194939472986080623290653047314691542307965284769653453352289316130383722053069491119502457039044021628359709484426038475630864829689204081952112772515835613497664918505146733810101228030846465652723304424299800631041540417593320058435741045182334933266895357898902721896251613828768875127703955309662546104768177108632080922631460503665340762932680586756992905372075335547739508726920483704069528098912799840660996402323476515518747670067379312475459851537260393885403865228270324282018743768147488726407178816356769586201762989759612908913406696515981945043438728279249980936007917502421382237154891162990239142538965702500364074301321617472606673622013075878816094031886410052912755524308860683329711338501572470731795930315468608003750667906865432274808335488456241082132382886392241384155879248822004402980825007026085995618497773167620753366199335168935249542103949314126774775734555347941699201683987489340480447765478252648133812869372638673148803412481834782790438242792474734203515633205295708646206567279278158694889170119562138858722655953210383938685471781972507094260298855769200336402568511187489523929081398266082749557097878440307545927370132397804748325448198266512217721706458416907944053156}
15539  2934998461666749682508547252374793298327062239800861955400691863: {543445,652134,776350,931620,993728,1117944,1257687,1783765,1998597,2140518,2866945,2900557,3176065,3440334,3811278,4125926,4492749,4719265,5044629,5181445,5242718,5284477,5643265,5663118,5842369,5894180,6217734,6390349,6412165,6771918,6772189,7073016,7383236,7517397,7638049,7684117,7694598,7957143,8025374,8195797,8253445,8872292,9129070,9620989,9887086,9904134,10244397,10378357,10515909,10547480,10660897,10954884,10977310,11394757,11464820,11614165,11863189,11865915,12070945,12118654,12487358,12656976,12680229,13172772,13287265,13451396,13744270,13757784,13817389,13936998,14122717,14239098,14485134,15014648,15114781,15302797,15366189,15477507,15575269,15900789,15944718,16033057,16044469,16493124,16602529,16662997,16891479,17088806,17139397,17331781,17373445,18030549,18041518,18599749,18649357,19216280,19287349,19630945,19658557,20076166,20081365,20175310,20681365,20739949,20848134,20936397,21132452,21172515,21515197,21618315,21784429,22245734,22328065,22377668,22526677,22584016,22641697,22920670,23059536,23194237,23363444,23373445,23454337,23555397,23557134,24097638,24118945,24210372,24412580,24725854,24817638,24952669,25081287,25167128,25205375,25407018,25541197,25928797,25941978,26349445,26417636,26436661,26571070,26793678,27081764,27185709,27443397,27504804,27871534,28048134,28110229,28198918,28218157,28275265,28313019,28560289,28740229,28942734,29004836,29182078,29295096,29325998,29774077,29785249,29858675,29950886,30005749,30046945,30222181,30246450,31014766,31334629,31537029,31579069,31619334,31779620,31788901,31885284,32262880,32693665,32804949,32956983,33222277,33344389,33426565,33439654,33555181,33563109,33705975,33712069,33789854,33930318,34067469,34275757,34450945,34743265,35194597,35646670,35830410,35953040,36056334,36295740,36326397,36350029,36513397,36780526,37068824,37132789,37241911,37346941,37573797,37693918,37739480,37802965,38129749,38135544,38219104,38316718,38458549,38473988,38538181,38715456,38815797,38894366,38906894,38939809,39108865,39232398,39257569,39338246,39538136,39805509,40041949,40044248,40111878,40157470,40194781,40447170,40525837,40614469,41057470,41341134,41435480,41691918,41702427,42146686,42179797,42456915,42472717,42559789,42655250,42712166,42776004,42786980,42902487,42996492,43143648,43150945,43171117,43356769,43554888,43627556,43869445,44480403,44907997,44944797,45049779,45141409,45147349,45151381,45252326,45287376,45363558,45559717,45923864,46347878,46614915,46930638,47118189,47405869,47496709,47788454,47874565,48159445,48188964,48240229,48271220,48318069,48462104,48536604,48682561,48796509,48999249,49042292,49160269,49268964,49628612,49722576,49779757,50294449,50405806,50429715,50436838,50472709,50565764,50716165,50755009,50948298,51013729,51085117,51102968,51186300,51282565,51344376,51585086,51664347,51781134,52057357,52121397,52184197,52643334,53202730,53791696,54471070,54519867,54598720,54765956,54962840,55008997,55461349,55510165,55563380,55628941,55937898,56072494,56428966,56655589,57045092,57137798,57228469,57449478,57490839,57553537,57762423,57791334,57892646,57925464,57998509,58020670,58022497,58029445,58726945,58811115,58955509,58992829,59039876,59478212,59632897,59701765,60035375,60354398,60396865,60476709,60515658,60559729,60675310,60859398,60927589,61017380,61076929,61204957,61249777,61387797,61423560,61505175,61539078,61833195,62011789,62325080,62445997,62731856,63156181,63439844,63843276,64133606,64270945,64546465,64646180,64779781,65013956,65085310,65099918,65161357,65166147,65365284,65518464,65605520,65842436,65955408,66046659,66077077,66333445,66374881,66435886,66612198,66634724,66676056,66680894,66815917,67115278,67179495,67257061,67520317,67675549,67722670,68011909,68222989,68227174,68269220,68441475,68660065,68992509,69101505,69212397,69410389,69624804,69628897,69635334,69691646,69960517,70115715,70394756,70432166,70472334,70573338,70703365,70943221,70962596,71110945,71518165,71608798,71642118,71654014,71658128,71680574,71779064,71784061,71828036,72042450,72060565,72103870,72268149,72466945,72476238,72775717,72806257,72810372,72817861,73004240,73061077,73220856,73262557,73349229,73692980,73708272,73806210,74199834,74276966,74529229,74553829,74745997,74762965,74790096,75010563,75561446,75632024,76003900,76403206,76547809,76560069,76845280,76929188,76930958,77125134,77368357,77455758,77575416,78102372,78237080,78519445,78626975,78685117,78726624,78807109,79186945,79583221,79586965,79600134,79823869,79860949,80054398,80379046,80382939,80461921,80516629,80615394,80751447,80818141,80917765,81181389,81267204,81923064,82129770,82287829,82373463,82392078,82438052,82703780,82921806,82938308,82994648,83336654,83376349,83894595,83975797,83977669,84007118,84138858,84275470,84342680,84565796,84664436,84768709,84844038,84851941,85060621,85086027,85149445,85254104,85333134,85413188,85544065,85677764,85821798,85900989,86282737,86330926,86450940,86472678,86524644,86582846,86711012,86856865,86862997,86960334,87272343,87325595,87360884,87483169,87530941,87605088,88004449,88016715,88034965,88036909,88311718,88431576,88567452,88588270,88615429,88832929,88890374,89315949,89487568,89715558,90021409,90195949,90308469,90479869,90486104,90901389,91204680,91420165,91643726,91728829,91938565,92068897,92163447,92214336,92697958,92749286,92877080,93205597,93238117,93368979,93446029,93614581,93767041,93836829,93884496,93944917,94223334,94224549,94263445,94352370,94577677,94737697,94868696,94885515,94893997,95024334,95258420,95451310,95504358,95578606,95631987,95693975,95766789,95910867,96059809,96110917,96132675,96427736,96437054,96447265,96537848,96905854,96914397,97049749,97101318,97159870,97280547,97284992,97533464,97726465,97864797,98097188,98120929,98191918,98367181,98555724,98570029,98861029,98971117,99151597,99244536,99367489,99485523,99546526,99561909,99904369,...,205120085467150365458486558213505894611799567990556154037983238436783501517006839434640684097283261372160929621820911285417897947451697966186620566135303598933175377648467265645654406124733782001375045537809789373730722584402329808421420666059044618791660924249807211469338948071733772403143477259496025456116899410869199279916181505416612512430413322844151920116672991921756972712274819463886268511673654166571744959401760924500546375150460528651887073186332315058267809693560500577393121238880619233081126290985521450222273976173222540678118228560972384266151337297523505385847485941105221686959138949510235600000814711864708531060784158978587215770180748493508056048170110675664841270726037846351917547700075639751912450803935192670450683528082295337176835012521871112798876982044146409890840994255389210957696054287961451740142947150189580399250520622289305356280332962681840541530014646719999374236746556709276287333876980636825408162542829070768563905148228953055996990879249512577478918880020728553947653248668553217299385000044193844407655418914702562250352175434711156606871594834540009975182082671738022775526037487840481796681450490551079773361380929885830931762742592714926806116732266815089922979832662386508497416211329312836834332602600593455051580292409209479120934935979570972037313461947927154480180028433974195575583079604236679253685558566032442539564226639057713446297244533806122928169158773753420246497377757720100715151842046269698479084956636449700946562310626389980087653611567773502399900343036848354082844377420743153312691555932964493819157152265662948121383947190755498011144399020880135489358058113003321609263090380725556104292148369199760991494603485214773278121505101068968713189777305890590828105797842405486423028115652221233089610768224535154379302644484639419363370110044773972917565158092418874971404011876253632073355732336744485358713808448553750546111451982426208910010433019613818224141047829615079369133286463291024994567007752358706097693895473202912005626001860298148412212503232684361623198574329588362076233818873233006604471237510539128993427746659751431130049299002753402874313155923971190162163601833021912548802525981234010720671648217378972200719304058958009723205118722752174185657364188712101305273449807943562969309850918917238042333755179343208288083983929815575908028207672958760641390448283653800504603852766781234285893622097399124124335646817660461318891055198596707122488172297399768326582559687625361916079734}
15540  2948041309277978986347677705404271461951813267392771633031421342: {201851,341594,449819,666371,728171,869512,978201,1036691,1129091,1164525,1221419,1242160,1270754,1375139,1397430,1490592,1497971,1559339,1676916,1743251,1957451,2140739,2196314,2293259,2415131,2506451,2567291,2664796,2749619,2779979,2854024,2931659,3210777,3234419,3476051,3566531,3687059,3837539,4017851,4107899,4137899,4219874,4227851,4287779,4587112,4676531,4766051,5081704,5160501,5271971,5361011,5498522,5568491,5716917,5746019,5990332,6070739,6188579,6188889,6335699,6541331,6629339,6726172,6775859,6892931,6980651,7039091,7214219,7312922,7330811,7367725,7550824,7650779,7674074,7853891,7864077,8214722,8290312,8345531,8494677,8547299,8841270,8863571,8978339,9029224,9207491,9229045,9326601,9430688,9471194,9578771,9721211,9835019,10005491,10023196,10157877,10259464,10515179,10609524,10656299,10769051,10994171,11074854,11090365,11190731,11246819,11358899,11414891,11541897,11610611,11785922,11917379,12038061,12112091,12139874,12167651,12583331,12942131,12997211,13022234,13137817,13184350,13205512,13272131,13308438,13327019,13436699,13659196,13693605,13819571,13900994,14021212,14228051,14309531,14331025,14418059,14499371,14606512,14823899,14830629,14856201,15227939,15362219,15647714,15763859,15790571,15821220,15924011,16003979,16110491,16270019,16432326,16465965,16561739,16588211,16814245,16826099,16875968,16906972,17034722,17115971,17197230,17378651,17431091,17552474,17563696,17692811,17896922,17979779,18177981,18343712,18369539,18395459,18473171,18582664,18731037,18757499,18768310,18985464,19097954,19268954,19313512,19374491,19553579,19610522,19759158,19761014,20177094,20215331,20468411,20488252,20544179,20616405,20636676,20846531,20905497,20921939,21197819,21201052,21259624,21358647,21447779,21597371,21727701,21990832,22021237,22390331,22414979,22521972,22538099,22636451,22759211,23004131,23077451,23126291,23497154,23515859,23637179,23917077,23927531,24020350,24024059,24040732,24165314,24240779,24456851,24528731,24600539,24664922,24739686,24863219,25101179,25290971,25456619,25574699,25633209,25825634,25998131,26068451,26415565,26488859,26650394,26767691,26929811,27062277,27114611,27275891,27390851,27635354,27688811,27797512,27803051,27915196,27972085,28030931,28099139,28212659,28230020,28452194,28552019,28687259,28709771,28824420,29204305,29381411,29492651,29589722,29825171,30114249,30155891,30243779,30262965,30397922,30515725,30572219,30746048,31072331,31272201,31288451,31331579,31407196,31409512,31417739,31458910,31460771,31523354,31698678,31932011,31974659,32038571,32130184,32280496,32357051,32435221,32631611,32925779,33009539,33022045,33090184,33118874,33197531,33368601,33441716,33566502,33819491,33852205,33860699,33876024,33984131,34127771,34381005,34536011,34589304,34595869,34657859,34779419,34857314,34860299,34981379,35038717,35045166,35082059,35162459,35335701,35442851,35642171,35681939,35724904,35860499,36038411,36097571,36146457,36176339,36247612,36256045,36315558,36529211,36591196,36618870,36673072,36685211,36733922,36918251,37034339,37088781,37207931,37226457,37265651,37342499,37397512,37610459,37629539,37750692,37838891,37971611,38085059,38110527,38198219,38254691,38404931,38461139,38589794,38590312,38741099,38912967,39060128,39148451,39185291,39626454,39643091,39724525,39856605,39951539,40023779,40131899,40183381,40190517,40328600,40383059,40400939,40508051,40622646,40650419,40774571,40880474,41197259,41257206,41563331,41636834,41787674,41807301,41857091,41874299,42049372,42063059,42072201,42105349,42131459,42159112,42298377,42386819,42404341,42420731,42513712,42640379,42741299,42825179,43042331,43092251,43125491,43241579,43291211,43340771,43414101,43507254,43587491,43620251,43739932,43773117,43816139,43881179,43884314,43942644,43962299,43988997,44027051,44075531,44123939,44300819,44522881,44588171,44715097,44750812,44774234,44778299,44794091,44926329,44941300,45014339,45108251,45240424,45369675,45423292,45450131,45511874,45542699,45573491,45726971,45757571,46076939,46257851,46317899,46336030,46522149,46527059,46541939,46586531,46705091,46852571,46976354,47067734,47116019,47174350,47267522,47319131,47429001,47669430,47706419,47763299,47773880,47827926,47834219,47919059,48003611,48059819,48075112,48092485,48213731,48255539,48311171,48394320,48435196,48518651,48765251,48955259,49076579,49146074,49157099,49170491,49330571,49396931,49422670,49555379,49568531,49634171,49764851,49985171,50055310,50075219,50098396,50113691,50159481,50215931,50266859,50343011,50557211,50574554,50632259,50644739,50682131,50684781,50781491,50818619,50847392,50895477,50956477,50966411,51258539,51306779,51474611,51557939,51565922,51620608,51652691,51735179,51754396,51794350,52003451,52072739,52187579,52309864,52324331,52380971,52426139,52549691,52749779,52760819,52914539,53074012,53120651,53142179,53174411,53281331,53313251,53470005,53482504,53483725,53618099,53745615,53752571,53814179,53906051,53929560,53956811,54084501,54137891,54177779,54257171,54443610,54501971,54534445,54665579,54751259,54789131,54890374,54930011,54948659,54985859,55046629,55048922,55087499,55121512,55124219,55170789,55224539,55233611,55359779,55546091,55589224,55603236,55624859,55734722,55831739,55891211,55908131,55958699,56008034,56017331,56042339,56092139,56133419,56144474,56239811,56288459,56456459,56495939,56519531,56540877,56574299,56609220,56659571,56690339,56728619,56797019,56864771,56976251,57020339,57034672,57071411,57203316,57264731,57328656,57341819,57365954,57390371,57404830,57472691,57475077,57493091,57513419,57524864,57587339,57653699,57710982,57725771,57790451,57898571,57904859,57917411,57961091,57973499,57998219,58053371,58073184,58083731,58101851,58207201,58209059,58214939,58319411,58341549,58360341,58365011,58381979,58404491,58438019,58465739,58627859,58690691,58711379,58737059,58832819,58843034,58848597,58930499,58935299,58949651,59001659,59007369,59020331,59125211,59169491,59182619,59208659,59230139,59234411,59247179,59268299,59297531,59305811,59307204,59354819,59390819,59418371,59437811,59483651,59494931,59509859,59550251,59564699,59614259,59635019,59645291,59715179,59728091,59744051,59775371,59781539,59799851,59808899,59820851,59838539,59895419,59926396,59935979,59951699,59989739,60021251,60033011,60060419,60066372,60080219,60095171,60099371,60105611,60149171,60158531,60160379,60167817,60171299,60180179,60195659,60212099,60230771,60236205,60248291,60271139,60276179,60289379,60292811,60311891,60314819,60323171,60335651,60339025,60340139,60340859,60345011,60346331,60350699,60355739,60363491,60366011,60367859,60370091,60370691,60383168,60484744,60577630,60670755,60829154,61091522,61302865,61586205,62005274,62011701,62035765,62153220,62537877,62574184,62700862,62806681,62824252,63207205,63220029,63298394,63426914,63878710,63982875,64068249,64164006,64180470,64251952,64424092,64494738,64715472,65062012,65332332,65441334,65691952,65841434,66178021,66296768,66842522,67239620,67710914,67878489,67931064,68045337,68248400,68457445,68459168,68703550,68885796,69041512,69454225,69495196,69521817,69911522,70191112,70395957,71255206,71306365,71682681,72283446,72406830,72620317,72693156,72804906,72890522,73241954,73563438,73799845,73824794,73903446,74347765,74442918,74583864,74597341,74634722,75208922,75346414,75437594,75608709,75655257,75848646,76006754,76271725,76422447,76599304,76654452,76779450,77016564,77055112,77233952,77377629,77671701,77803874,77906350,78301622,78414820,78798554,78965001,79127522,79175341,79299805,79804095,79998434,80635612,80687544,80752922,80807725,81145864,81267445,81706605,81850396,81898080,82006900,82052104,82148934,82303045,82345922,82444260,83010109,83293405,83345070,83700314,83906847,84108741,84374269,84470617,84643449,84725594,85124368,85232834,85336525,85341781,85567638,85706697,86174217,86234038,86687001,86838969,86888196,87031005,87127514,87153712,87357952,87940544,87993445,88062212,88559814,88586594,88703245,88816264,88901408,89217318,89541314,89572660,89723830,89785045,90481634,90531597,90773487,91012965,91038914,91255300,91289097,91526070,91990012,92116225,92135340,92137922,92172661,92283196,92308617,92589722,92833072,92847112,93037922,93487620,93659354,93939769,93963112,94097784,94186394,94360922,94540030,95004875,95143477,95159766,95481314,95522824,95764914,96056600,96074522,96161485,96200409,96357532,96634984,96684217,96969270,97080496,97371589,97520934,97627808,97627965,97649877,97796350,97798972,98047926,98277696,98296514,98408280,98504494,98670649,98696474,98763654,98933112,99092834,99496046,99653829,99720128,99918297,99952086,...,307680128200725548187729837320258841917699351985834231056974857655175252275510259151961026145924892058241394432731366928126846921177546949279930849202955398399763066472700898468481609187100673002062568306714684060596083876603494712632130999088566928187491386374710817204008422107600658604715215889244038184175349116303798919874272258124918768645619984266227880175009487882635459068412229195829402767510481249857617439102641386750819562725690792977830609779498472587401714540340750866089681858320928849621689436478282175333410964259833811017177342841458576399227005946285258078771228911657832530438708424265353400001222067797062796591176238467880823655271122740262084072255166013497261906089056769527876321550113459627868676205902789005676025292123443005765252518782806669198315473066219614836261491383083816436544081431942177610214420725284370598875780933433958034420499444022760812295021970079999061355119835063914431000815470955238112243814243606152845857722343429583995486318874268866218378320031092830921479873002829825949077500066290766611483128372053843375528263152066734910307392251810014962773124007607034163289056231760722695022175735826619660042071394828746397644113889072390209175098400222634884469748993579762746124316993969255251498903900890182577370438613814218681402403969356458055970192921890731720270042650961293363374619406355018880528337849048663809346339958586570169445866800709184392253738160630130369746066636580151072727763069404547718627434954674551419843465939584970131480417351660253599850514555272531124266566131114729969037333899446740728735728398494422182075920786133247016716598531320203234037087169504982413894635571088334156438222553799641487241905227822159917182257651603453069784665958835886242158696763608229634542173478331849634416152336802731568953966726959129045055165067160959376347737138628312457106017814380448110033598505116728038070712672830625819167177973639313365015649529420727336211571744422619053699929694936537491850511628538059146540843209804368008439002790447222618318754849026542434797861494382543114350728309849509906706856265808693490141619989627146695073948504130104311469733885956785243245402749532868823203788971851016081007472326068458301078956088437014584807678084128261278486046283068151957910174711915344453964776378375857063500632769014812432125975894723363862042311509438140962085672425480700756905779150171851428840433146098686186503470226490691978336582797895060683732258446099652489873839531438042874119601}
15541  2961141659969450900061254570033072722739620476463591679548877221: {15541,512391,760823,1086890,1304268,1552700,1863240,1906131,1987456,2096145,2235888,2497271,2515374,3241799,3294471,3330995,3427931,3567530,3997194,4013723,4281036,4446491,5733890,5801114,6245291,6305651,6329811,6352130,6606971,6880668,7254023,7487915,7622556,7900571,8164811,8247783,8251852,8407715,8536643,8977031,8985498,9438530,10089258,10362890,10485436,10568954,10969383,11286530,11326236,11511111,11554823,11684738,11788360,12265331,12322083,12435468,12528995,12780698,12824330,13261905,13426919,13466531,13543836,13544378,14146032,14206791,14766472,15034794,15276098,15368234,15389196,15914286,16050748,16259831,16391594,16506890,16612281,16899323,17073995,17478791,17526515,17678883,17744584,17747531,17862923,17919299,18209811,18258140,18602171,19174691,19241978,19533351,19774172,19776525,19808268,19962657,20255651,20488794,20617511,20756714,20843399,20851491,21031818,21094960,21133715,21174323,21321794,21909768,21954620,22789514,22929640,23179943,23228330,23471571,23532839,23726378,23731830,23809991,24141890,24237308,24322823,24347303,24598451,24648489,24974716,25313952,25360458,25427051,25439123,25552083,25610315,25795845,26328711,26345544,26501315,26549171,26574530,26845383,26902792,27332819,27411371,27483323,27488540,27515568,27634778,27873996,28052663,28113911,28152465,28245434,28259879,28478196,28646931,28903431,28953911,28970268,29415783,29638737,29641521,30029296,30050915,30185051,30229562,30265641,30299411,30559859,30605594,30732378,30955014,31150538,31226471,31259291,31801578,31889436,31920323,32066114,32075111,32088938,32684363,32722823,32986248,33205058,33325994,33348731,33559559,33766523,33782958,33981239,34177612,34278794,34663562,34746890,34854851,34893995,35245731,35287525,35555399,35717123,36030525,36061098,36083036,36247971,36889223,36997383,37109529,37199498,37298714,37548071,38308199,38432560,38574698,38612939,38738451,39168743,39258995,39261890,39262691,39317114,39462491,39585371,39656123,39693671,39975591,40152332,40162730,40350620,40531139,40626503,41362730,41453031,41479898,41696268,41802145,41872794,42065723,42264904,42345030,42565331,42678291,43030394,43236630,43520963,43568858,44384583,44491468,44656130,44755336,44957111,45053354,45168032,45283394,45309515,45487079,45545123,45596883,45738995,45771131,45841340,46119072,46173011,46346891,46388474,46726888,46746890,46797191,46908674,47098631,47110794,47114268,47188365,47285031,47502923,47548017,47566823,47894171,48195276,48231323,48237890,48420744,48579623,48640571,48825160,49451708,49635276,49678311,49848851,49875491,49905338,50162574,50301011,50334256,50349753,50410750,50452163,50814036,51020411,51082394,51857594,51883956,52039979,52285971,52392131,52561715,52567749,52698890,52835272,52873322,52924151,53142140,53360723,53587356,54163528,54371418,54473337,54674915,54752411,54886794,54927731,54928305,55009608,55100883,55339559,55468571,55636199,55743068,55938515,56096268,56176625,56211443,56220458,56320451,56397836,56436314,56550530,56626038,56779115,57120578,57480458,57884691,57885468,58009672,58364156,58590192,58651996,58693211,59439681,59548154,59570498,59717350,59901772,60011498,60093890,60411323,60444362,60492900,60543995,60562871,60933969,61320711,61417223,61522331,61885809,61968563,62029532,62455251,62622995,62669258,62681511,62992931,63074058,63158138,63238668,63559240,63577802,63770568,64237571,64349771,64525760,64692995,64821863,65260881,65289131,65387330,65609898,65826471,65913966,66342515,66444554,66688778,66853130,66879308,67024391,67110362,67126218,67161351,67265819,67411950,67423223,67424138,67579708,67684403,67860636,68029379,68134938,68267811,68551514,68782379,68901890,69486530,69504045,70115063,70389194,70464531,70601601,70761525,70813991,70901283,70952459,71002631,71293340,71504145,71660820,71741889,71795591,71895479,71906080,72112668,72256523,72333131,72554723,72591480,72652794,72700058,72827399,72874439,73026794,73324451,73561052,73719111,74134005,74137648,74217419,74265578,74284871,74483822,74507831,74512931,74639123,74693882,74907995,75082965,75147594,75326291,75387836,75478960,75605930,75771971,75861831,76249223,76259498,76271088,76438208,76557923,76633436,76917098,76947976,77076362,77348883,77430912,77631594,77691525,77714231,77788732,77813788,77879618,78091091,78217730,78464796,78515138,78530315,78676492,79076272,79125131,79417523,79611018,80047211,80083898,80088496,80223756,80314940,80389562,80472419,80527163,80530115,80894340,81051674,81228938,81241223,81327515,81371699,81665415,82114940,82217723,82335561,82505159,82573383,82680611,82682268,82870960,83383836,83404854,83557739,83582471,83602083,84012051,84049525,84216711,84293372,84359594,84555611,84680411,84913830,84945434,85071719,85119578,85310500,85424332,85491011,85552008,85573960,85589351,85740443,85804974,85992984,86011019,86048931,86107245,86287296,86301890,86328119,86342234,86566473,86713538,86868995,87006323,87109776,87255112,87542339,87738890,88264551,88371323,88960806,89815994,89889594,89979323,90099558,90152711,90282818,90294698,90302762,90365051,90491651,90504652,90574752,90703799,90727116,90866445,91021211,91119434,91243731,91435331,91637283,91800743,91847728,92695756,92866823,93007911,93229830,93516491,93861276,94051293,94236378,94811738,94947591,94993418,95025659,95140371,95576908,95749130,95818065,96005303,96124091,96246009,96270705,96318890,96377928,96480458,96542440,96613691,96636138,96742107,96924208,97073208,97100411,97365122,97593018,97998498,98018525,98084584,98133731,98162001,98320538,98341043,98537928,98695619,98762151,98863763,98873963,98984711,99257224,99445152,99555323,99559514,99640871,99935123,...,410240170934300730916973116427011789223599135981112308075966476873567003034013678869281368194566522744321859243641822570835795894903395932373241132270607197866350755296934531291308812249467564002750091075619578747461445168804659616842841332118089237583321848499614422938677896143467544806286954518992050912233798821738398559832363010833225024860826645688303840233345983843513945424549638927772537023347308333143489918803521849001092750300921057303774146372664630116535619387121001154786242477761238466162252581971042900444547952346445081356236457121944768532302674595047010771694971882210443373918277899020471200001629423729417062121568317957174431540361496987016112096340221351329682541452075692703835095400151279503824901607870385340901367056164590674353670025043742225597753964088292819781681988510778421915392108575922903480285894300379160798501041244578610712560665925363681083060029293439998748473493113418552574667753961273650816325085658141537127810296457906111993981758499025154957837760041457107895306497337106434598770000088387688815310837829405124500704350869422313213743189669080019950364165343476045551052074975680963593362900981102159546722761859771661863525485185429853612233464533630179845959665324773016994832422658625673668665205201186910103160584818418958241869871959141944074626923895854308960360056867948391151166159208473358507371117132064885079128453278115426892594489067612245856338317547506840492994755515440201430303684092539396958169913272899401893124621252779960175307223135547004799800686073696708165688754841486306625383111865928987638314304531325896242767894381510996022288798041760270978716116226006643218526180761451112208584296738399521982989206970429546556243010202137937426379554611781181656211595684810972846056231304442466179221536449070308758605288969278838726740220089547945835130316184837749942808023752507264146711464673488970717427616897107501092222903964852417820020866039227636448282095659230158738266572926582049989134015504717412195387790946405824011252003720596296824425006465368723246397148659176724152467637746466013208942475021078257986855493319502862260098598005506805748626311847942380324327203666043825097605051962468021441343296434757944401438608117916019446410237445504348371314728377424202610546899615887125938619701837834476084667510358686416576167967859631151816056415345917521282780896567307601009207705533562468571787244194798248248671293635320922637782110397193414244976344594799536653165119375250723832159468}
15542  2974299765254008345589020005857326552269273047490065785931323484: {403702,480841,683188,899638,1332742,1456342,1590217,1630335,1739024,1940875,1956402,2073382,2258182,2324041,2329050,2442838,2484320,2541508,2750278,2780341,2794860,2962357,2981184,2995942,3118678,3234841,3353832,3416137,3486502,3506677,3773061,3914902,4138441,4281478,4318297,4392628,4586518,4830262,5012902,5134582,5302357,5329592,5351295,5499238,5559958,5708048,5863318,5995791,6365941,6421554,6468838,6952102,7133062,7374118,7675078,8035702,8215798,8275798,8439748,8455702,8575558,8600835,8701671,9151477,9174224,9237337,9353062,9528195,9532102,10006837,10163408,10262041,10314815,10321002,10543942,10722022,10997044,11136982,11433834,11492038,11946841,11980664,12141478,12197077,12377158,12377778,12612697,12671398,12920663,13082662,13106795,13258678,13452344,13478247,13551718,13785862,13961302,14078182,14157795,14420041,14428438,14625844,14661622,14663797,14735450,15068617,15101648,15133887,15301558,15348148,15391177,15526511,15544335,15707782,15728154,15792757,15853431,16192537,16429444,16580624,16590517,16691062,16929795,16989354,17094598,17223541,17527107,17682540,17727142,17851957,17956678,18058448,18398041,18414982,18458090,18653202,18785941,18861376,18942388,19157542,19171047,19236495,19442422,19670038,19786057,20010982,20046392,20063435,20315754,20316567,20518928,20547097,20698441,21030358,21219048,21312598,21450841,21538102,21600457,21988342,22047577,22149708,22180730,22381462,22418197,22493638,22552191,22565941,22717798,22822675,22829782,22914147,23052351,23080777,23083794,23154037,23221222,23539943,23571844,23834758,23871429,24076122,24172117,24224182,24279748,24335302,24532297,24587391,24717715,24760335,25104841,25166662,25460341,25602037,25884262,25994422,26044468,26275634,26368700,26411024,26516041,26544262,26616876,26654038,26873398,27318392,27387210,27417877,27443275,27639142,27801988,28042424,28456102,28578841,28619062,28662050,28714057,28836118,28862967,28916341,28998742,29213024,29385817,29647798,29661258,29712402,29918041,30296635,30379957,30455878,30724438,30733191,31135071,31218395,31228441,31295428,31357897,31527718,31547727,31581142,31642440,31848022,31982691,32007958,32220982,32540038,32864652,32931930,33014617,33123478,33176422,33628490,33652198,33751936,33813944,34069444,34184271,34231942,34360675,34394460,34561717,34757302,34805077,34842495,34862182,34865737,35104948,35127392,35385622,35589567,35597745,35707417,35793844,35959558,36212835,36355962,36687424,36739078,36790918,36946342,36981791,37165328,37175317,37462074,37514998,37536620,37635541,37970928,38040687,38195908,38537908,38627024,38654197,38748982,38765941,39107158,39154777,39160919,39210037,39221044,39518316,39522028,39861795,39976117,40354188,40407541,40430662,40674841,40886027,40936822,40976504,41088358,41232810,41273352,41452167,41570197,41693062,41810994,41843878,41881237,42138457,42368151,42395638,42402104,42519248,42717294,42722015,42748441,42849097,42895558,43128151,43194742,43455402,43888597,43981664,44042474,44780662,44801737,44829958,45037717,45043944,45076198,45103795,45272902,45344343,45518422,45908391,46008262,46098567,46154902,46230863,46252582,46432521,46550041,46725807,46904857,46994308,47031718,47274358,47341897,47393087,47702367,47834154,47855062,47856841,47941657,48040700,48048118,48081464,48099171,48133407,48330628,48481558,48913702,49057462,49179337,49201078,49264963,49329844,49479372,49577497,49726438,49760867,49807587,49988991,50007157,50190415,50202358,50352217,50438275,50579017,50581942,50654041,50674437,50758463,50913238,51149398,51266418,51418191,51496117,51638677,51651268,51744841,51995343,51996262,52120335,52136902,52163017,52770841,52831130,52977718,53300788,53323477,53535382,53824597,53859622,54091647,54124554,54229222,54551782,54781702,54912841,54968857,54996757,55244617,55270708,55377622,55539637,55595024,55606102,55614335,55799247,55830392,55851541,55927897,55944170,55948071,56028697,56061862,56198278,56425318,56460040,56585941,56816341,56904388,56973337,57104038,57301675,57374518,57419542,57525577,57648840,57665941,57764041,57862047,57917257,58227541,58349257,58400341,58408610,58646041,58762822,58845877,58892835,58948441,58975671,58985302,59061337,59179444,59195977,59247817,59372377,59408341,59489737,59501077,59650342,59732341,60077077,60174997,60185941,60196597,60212041,60221291,60228498,60244095,60308917,60311782,60339157,60356041,60378037,60388117,60487558,60525930,60795844,61031450,61144438,61492096,61522703,61814635,62044095,62144662,62219847,62544402,62576902,62663158,62809191,62814392,62819024,62835478,62917820,62921542,63046708,63397356,63517545,63864022,63949318,64077142,64260368,64545591,64560992,64714102,64854945,64870442,65055107,65263222,65353287,65851558,66019078,66044090,66180368,66237748,66395062,66427675,66737202,66883432,66984195,67133004,67329479,67580031,67638982,67704410,67721398,67752048,67925091,67968262,68255542,68762010,69072022,69178608,69191738,69315718,69558838,69582711,69678835,69714628,69720598,69962758,70077434,70090332,70120335,70164118,70324918,70363011,70497295,70666191,70671402,70885702,71284342,71363878,71449808,71720998,72076822,72195142,72292914,72352678,72356835,72495224,72512090,72631116,72955195,73058422,73182392,73237740,73314995,73346144,73370422,73467844,73836502,74068678,74177562,74415862,74452914,74531302,74684998,74795024,74858007,74877215,75220918,75243861,75259078,75501384,75616125,75677782,75943222,76170118,76221054,76348223,76396438,76509382,76623591,76809862,76922278,77179588,77180624,77482198,77536915,77786391,77825934,78120256,78296902,78370582,79048335,79252908,79286182,79309983,79449050,79713210,79903078,80047558,80263798,80366762,80381034,80657200,80766118,80801878,81016102,81245292,81300838,81549142,81557127,81760948,82330191,82394518,82514412,83126662,83273668,83575348,83599135,83614602,83714182,83748598,84098744,84126118,84144402,84210698,84262918,84318224,84330687,84474635,84596754,84654471,84773638,84808682,84825795,84841462,84939057,85027424,85280758,85482598,85650358,85680867,85824011,86084662,86184502,86220687,86250982,86483158,86582422,86681542,86828202,86850071,87014508,87174982,87240502,87479864,87546234,87632278,87762358,87768628,87885288,87924598,87977994,87994951,88054102,88151062,88247878,88490087,88601638,89045762,89116675,89176342,89322231,89355747,89430194,89501624,89548468,89556598,89576025,89588182,89852658,89882600,90017247,90028678,90140835,90216502,90480848,90666543,90739350,90846584,90900262,91023748,91085398,91146982,91453942,91515142,91951315,92153878,92515702,92635798,92672060,93044298,93054118,93083878,93173062,93410182,93705142,93952708,94003887,94135468,94232038,94234795,94348700,94535044,94611087,94638262,94737207,94858002,95338860,95366703,95412838,95526598,95547760,95655852,95668438,95791795,95838118,95840423,96007222,96119638,96150224,96184970,96427462,96511078,96622342,96788640,96870392,97037302,97235915,97267235,97530502,97910518,98080995,98153158,98292148,98314198,98340982,98345615,98414847,98661142,98793862,98845340,98870949,99110758,99137062,99189871,99268342,99529702,99666831,99828911,99970342,...,615360256401451096375459674640517683835398703971668462113949715310350504551020518303922052291849784116482788865462733856253693842355093898559861698405910796799526132945401796936963218374201346004125136613429368121192167753206989425264261998177133856374982772749421634408016844215201317209430431778488076368350698232607597839748544516249837537291239968532455760350018975765270918136824458391658805535020962499715234878205282773501639125451381585955661219558996945174803429080681501732179363716641857699243378872956564350666821928519667622034354685682917152798454011892570516157542457823315665060877416848530706800002444135594125593182352476935761647310542245480524168144510332026994523812178113539055752643100226919255737352411805578011352050584246886011530505037565613338396630946132439229672522982766167632873088162863884355220428841450568741197751561866867916068840998888045521624590043940159998122710239670127828862001630941910476224487628487212305691715444686859167990972637748537732436756640062185661842959746005659651898155000132581533222966256744107686751056526304133469820614784503620029925546248015214068326578112463521445390044351471653239320084142789657492795288227778144780418350196800445269768939497987159525492248633987938510502997807801780365154740877227628437362804807938712916111940385843781463440540085301922586726749238812710037761056675698097327618692679917173140338891733601418368784507476321260260739492133273160302145455526138809095437254869909349102839686931879169940262960834703320507199701029110545062248533132262229459938074667798893481457471456796988844364151841572266494033433197062640406468074174339009964827789271142176668312876445107599282974483810455644319834364515303206906139569331917671772484317393527216459269084346956663699268832304673605463137907933453918258090110330134321918752695474277256624914212035628760896220067197010233456076141425345661251638334355947278626730031299058841454672423143488845238107399859389873074983701023257076118293081686419608736016878005580894445236637509698053084869595722988765086228701456619699019813413712531617386980283239979254293390147897008260208622939467771913570486490805499065737646407577943702032162014944652136916602157912176874029169615356168256522556972092566136303915820349423830688907929552756751714127001265538029624864251951789446727724084623018876281924171344850961401513811558300343702857680866292197372373006940452981383956673165595790121367464516892199304979747679062876085748239202}
15543  2987515877735874248155751951778855231502558547554387811699452271: {31082,605553,853985,1024782,1349457,1521646,1999113,2173780,2184513,2608536,2934603,3105400,3110073,3176885,3387273,3493575,3664257,3726480,3812262,3831217,3974912,4125417,4192290,4471776,4493913,4663393,4678017,4994542,5030748,5229753,5490785,5872353,6422217,6483598,6588942,6661990,6855862,6879777,7135060,7245393,7452133,7519353,7640021,7701873,7994388,8027446,8197913,8248857,8339937,8562072,8794977,8892982,9125377,9632331,9703257,10041977,10428153,10483081,10549685,10699593,11061177,11467780,11512617,11602228,11770801,12053553,12075041,12323697,12413697,12490582,12611302,12659622,12683553,12704260,12863337,13213942,13746305,13761336,13941173,14029593,14298153,14508046,14975830,15118697,15245112,15481503,15513401,15801142,15815913,15868177,16083033,16329622,16495566,16503704,16705473,16726313,16815430,17073286,17150751,17238057,17540593,17954062,17970996,18212217,18282305,18397397,18565737,18566667,18854273,18877060,19007097,19185185,19623993,19888017,20178516,20327577,20536805,20656753,20678793,20725780,20941953,20970872,20980577,21081521,21117273,21137908,21430537,21642657,21790073,21938766,21992433,22103175,22192841,22573060,22652472,22952337,23022222,23109646,23369476,23561673,23576720,23592231,23677985,23763557,23903593,24530662,24537121,24644166,24870936,25036593,25057990,25212737,25484031,25561396,25641897,25648660,25989941,26523810,26590713,26853838,26933062,26935017,27087672,27088756,27622473,27687135,27811537,27979803,28292064,28413582,28431961,28736313,29163633,29217841,29228177,29464805,29505057,29532944,29587201,29608373,30016473,30069588,30349685,30473631,30552196,30736468,30778392,31376293,31545537,31797137,31828572,31968897,32101496,32307153,32519662,32555585,32783188,32960875,32982513,33013780,33224562,33271095,33572193,33740457,33798646,34076697,34147990,34244673,34625691,34752485,34831833,34938457,34957582,35053030,35357766,35489168,35495062,35725846,35752137,35838598,35854441,36114183,36116197,36336273,36419622,36502953,36516280,37101841,37204342,37356617,37749993,37931393,38273281,38349382,38468513,38483956,38826393,38949941,38991633,39066702,39119285,39211337,39413451,39548344,39553050,39616536,39661297,39816393,39925314,39981057,40310097,40496497,40511302,40977588,41080815,41235022,41458713,41513428,41686798,41702982,42020017,42063636,42071281,42189920,42267430,42348646,42586805,42643588,42684153,42928593,42993075,43254177,43498113,43604201,43819536,43881185,43909240,44105137,44173217,44374993,44471697,44491887,44568603,44742305,45093121,45144677,45163217,45579028,45683817,45859280,46086657,46359886,46456660,46920775,46943142,47065678,47291577,47371713,47452756,47463660,47573017,47619982,47744885,47772033,47900437,48011937,48172385,48283780,48331473,48425353,48471833,48474616,48645646,48694606,48810057,48851593,49026305,49196902,49296978,49397895,49402535,49685217,49764633,49949432,50442735,50469077,50478297,50627904,50720916,50854102,50878246,51104166,51220630,51336821,51347913,51591690,52135953,52293273,52657422,52691088,53002630,53078433,53098342,53149060,53690766,53757457,53805584,53939337,54533943,54665638,54822742,54962593,54966646,54977080,55031136,55108617,55186377,55269556,55419513,55747992,56105326,56193111,56218777,56227822,56242037,56272497,56304930,56490868,56519758,56956392,57293862,57806862,57907822,57940536,58123473,58440017,58523003,58660737,58742885,58831566,59038841,59277474,59283042,59918177,60050875,60058592,60101830,60126113,60370102,60413285,60459124,60531282,60598822,60645993,61092821,61119718,61211188,61389817,61405233,61464756,61632537,61662305,61849215,61910028,61917973,62111081,62301076,62452942,62518582,62539593,62716491,62765817,63433321,63593457,63603156,63775541,63778872,63822737,63840646,64034593,64075941,64132228,64150222,64177876,64343337,64564085,64565057,64792113,65183103,65368726,65401297,65445646,65972496,66063711,66242257,66410116,66560533,66625985,66651988,66697462,66710261,66742841,67119118,67170993,67244937,67340297,67533046,67565916,67614297,67909353,67962478,68240873,68277633,68355224,68557588,69012393,69088385,69232353,69327124,69378873,69493780,69709702,69787990,70491462,70547577,70575050,70911537,71110798,71130485,71434246,71593841,71751231,71782593,71904841,72061050,72072177,72122196,72137617,72166072,72495942,72646517,72722337,73370553,73586193,73586401,73778446,73801617,73974305,73994766,74219058,74398996,74494937,74589657,74597428,75096142,75303537,75418697,75872913,75875573,75994805,76369857,76544881,76616398,76724097,76865120,76899627,77149396,77225878,77476902,77558497,77636441,77994393,78205353,78313921,78337486,78517990,78523780,78525382,78634228,78647275,78808385,78924982,79170742,79246695,79312246,79314257,79387342,79466577,79490761,79951182,80303073,80304664,80325460,80398357,80701240,80789433,81062278,81186831,81253006,81343833,81699113,81827673,81923033,81950857,82172553,82725460,82797185,82906062,82959796,83066433,83392536,83409153,83604290,83745588,83916255,83951953,84092793,84131446,84297417,84529808,84637977,84690060,84761593,85130662,85356582,85656057,86022241,86060788,86061777,86124337,86129313,86473260,87041926,87137716,87143285,87236993,87612915,87672193,88144233,88147937,88477953,88759897,88760761,88769166,88982936,89162341,89312260,89475513,89510672,89548693,89914222,90106708,90219593,90336064,90342747,90467673,90566788,90570193,90619030,90731337,90788895,90974158,91053173,91090246,91193766,91477990,91542262,91547175,91653577,91667297,91682680,91716657,91812697,91834805,92092853,92238144,92346022,92693782,92703017,92776948,92879521,93216993,93453776,93493780,93594382,93816603,93817348,93865353,93994737,94197262,94221588,94228536,94253217,94376730,94382313,94465897,94570062,95005846,95096034,95133646,95548777,95788342,95796033,95923977,96115713,96390552,96462646,96474485,96475780,96841488,97071153,97075001,97159246,97205177,97242361,97281142,97305663,97447097,97506097,97650320,97894833,98777337,98896601,98903416,99028617,99066135,99270552,99356622,99592593,99661057,99697702,99750982,99810676,...,923040384602176644563189511960776525753098055957502693170924572965525756826530777455883078437774676174724183298194100784380540763532640847839792547608866195199289199418102695405444827561302019006187704920144052181788251629810484137896392997265700784562474159124132451612025266322801975814145647667732114552526047348911396759622816774374756305936859952798683640525028463647906377205236687587488208302531443749572852317307924160252458688177072378933491829338495417762205143621022252598269045574962786548865068309434846526000232892779501433051532028524375729197681017838855774236313686734973497591316125272796060200003666203391188389773528715403642470965813368220786252216765498040491785718267170308583628964650340378883606028617708367017028075876370329017295757556348420007594946419198658844508784474149251449309632244295826532830643262175853111796627342800301874103261498332068282436885065910239997184065359505191743293002446412865714336731442730818458537573167030288751986458956622806598655134960093278492764439619008489477847232500198872299834449385116161530126584789456200204730922176755430044888319372022821102489867168695282168085066527207479858980126214184486239192932341667217170627525295200667904653409246980739288238372950981907765754496711702670547732111315841442656044207211908069374167910578765672195160810127952883880090123858219065056641585013547145991428039019875759710508337600402127553176761214481890391109238199909740453218183289208213643155882304864023654259530397818754910394441252054980760799551543665817593372799698393344189907112001698340222186207185195483266546227762358399741050149795593960609702111261508514947241683906713265002469314667661398924461725715683466479751546772954810359209353997876507658726476090290824688903626520434995548903248457010408194706861900180877387135165495201482878129043211415884937371318053443141344330100795515350184114212138018491877457501533920917940095046948588262182008634715233267857161099789084809612475551534885614177439622529629413104025317008371341667854956264547079627304393584483147629343052184929548529720120568797426080470424859968881440085221845512390312934409201657870355729736208248598606469611366915553048243022416978205374903236868265311043754423034252384783835458138849204455873730524135746033361894329135127571190501898307044437296377927684170091586126934528314422886257017276442102270717337450515554286521299438296058559510410679472075935009748393685182051196775338298957469621518594314128622358803}
15544  3000790251115349775941547740644424144254159581815077326533278677: {46623,263959,728359,807404,961682,1098583,1283263,1366376,1537173,1559743,1799276,2019103,2282469,2567959,2665484,2717225,2912684,3180434,3260670,3478048,3881750,3912804,3928759,4146764,4288903,4516364,4648082,4658100,4737463,4826959,4885676,4968640,5083016,5500556,5560682,5589720,5718393,5806663,5924714,5962368,5991884,6237356,6288435,6469682,6689743,6707664,6832274,6953263,6973004,7013354,7040959,7391023,7491813,7546122,7829804,8276882,8562956,8636594,8779759,8785256,8865943,8918825,9173036,9638359,9660524,9723823,9725397,9883413,9992985,10025804,10064959,10269164,10283793,10404943,10604714,10659184,10702590,10998476,11119916,11249863,11416096,11417983,11726636,11753359,11991582,12041169,12087583,12170959,12731882,12843108,12937676,13000759,13330663,13339473,13904204,13905223,14266124,14313463,14334725,14440741,14502785,14748236,15350156,15848359,15880325,16071404,16431596,16551596,16879496,16911404,17151116,17201670,17403342,17435959,17514583,18302954,18348448,18349513,18474674,18530143,18706124,18735873,18916953,18989433,19056390,19064204,19379959,19820913,20013674,20326816,20524082,20629630,20642004,20645141,20902759,20978143,21087884,21203863,21444044,21762069,21994088,22273964,22463745,22470703,22765759,22867668,22984076,23132959,23596325,23701713,23893682,23961328,24282956,24394154,24494433,24583759,24743349,24754316,24755556,25013383,25223145,25225394,25298359,25342796,25609929,25841326,25907225,26165324,26213590,26286703,26422385,26517356,26904688,26931093,26956494,27103436,27571724,27922604,28016503,28084759,28088809,28156364,28216325,28315590,28840082,28856876,29211845,29251688,29323244,29327594,29434759,29470900,29501503,30137234,30203296,30267774,30603116,30696296,30782354,31053022,31081759,31088670,31341103,31415564,31456308,31470343,31585514,31706862,31727959,31792183,31951745,31984423,32060825,32385074,32858888,32908149,33061543,33161248,33181034,33382124,33561223,33859590,33860945,33871183,33978708,33994663,34189196,34447082,34533333,34604801,34664469,35054214,35213623,35365080,35454284,35693143,35703914,35913356,36116896,36638359,36696823,36795993,36796082,36829964,36916180,36966249,37306404,37571882,37586985,37722752,37884776,38021623,38190245,38315084,38342094,38420585,38472990,38884844,39197959,39340076,39572114,39692383,39785715,40021964,40092784,40126870,40280757,40399593,40631508,40633134,40823359,40978985,41037856,41094194,41267225,41396882,42060716,42415289,42434863,42438096,42620373,42625196,42637759,42901682,43076204,43139959,43200914,43634959,43705753,43976684,44095154,44299416,44315863,44361460,44363959,44762924,44836394,44987276,45104382,45123703,45131882,45435596,45496663,45589183,45645350,45659564,45773359,45828294,46104702,46161554,46167588,46308074,46442444,46721383,47079886,47143688,47161663,47669516,47742858,48104945,48146983,48152244,48230863,48344234,48448364,48559496,48670604,48779493,48850783,49064594,49174782,49374943,49414759,49435430,49520670,49808959,49836843,50209682,50333324,50697969,50911423,50920682,50969633,51204074,51221985,51768524,51891785,51988844,52022959,52088936,52332703,52366759,52400743,52436373,52551268,52579545,52737400,52822048,53032082,53036649,53088524,53162503,53194759,53233752,53242593,53304485,53308076,53544823,53588769,53746796,53757897,53947303,54158983,54278359,54364937,54455263,54542743,54629433,54636784,54687103,54744343,54774420,54835754,54886550,54970423,55060841,55136959,55164463,55273759,55278284,55603976,55806513,55930759,56081743,56084848,56156263,56279023,56519143,56774959,56912204,56973785,57157682,57238124,57302863,57324100,57428114,57428359,57449023,57524073,57651703,57672236,57711103,57725934,57832682,57847183,57942223,57997484,57998383,58070825,58126903,58198759,58222229,58286959,58304383,58426048,58600053,58771634,58985503,59295596,59315945,59322516,59329575,59332759,59381863,59424804,59441623,59465023,59577703,59672959,59723359,59762383,59809543,59810821,59836082,59872543,59887971,59980183,60128359,60134623,60187759,60289063,60300943,60304759,60354725,60376759,60387343,60397423,60399223,60401959,60593270,60759914,60766953,60911756,61448876,61466382,61852533,62270142,62436790,62456882,62530197,62554473,62590856,62715794,63055436,63095454,63145313,63162284,63284880,63401145,63522969,63696044,63965382,64015916,64441964,65080076,65729304,65863860,66029234,66246956,66352844,66436325,66635393,67256980,67304396,67503872,67627888,68138888,68368542,68463884,68721350,68788920,69086945,69123434,69514604,69539829,69610154,69684990,69724364,69731474,70209896,70254784,70266581,70414713,70598517,70613585,70771244,71179134,71195490,71414834,71429973,71587688,71919116,72425670,72708649,72711924,72968469,73041909,73374848,73478156,73581836,73795353,73892684,73945467,73963582,74330656,74350634,74924148,75029996,75073240,75271082,75573905,75941856,76081374,76117109,76281153,76317369,76391816,76513985,76656249,76830945,77075816,77254048,77308394,77387535,77497964,77531882,77860069,77876345,78214316,78309554,78321838,78420074,78442088,78986133,79036632,79044056,79503945,79647513,79723590,79952234,80165285,80222345,80536149,80708376,80815082,80861324,81349682,81772054,81873644,81953008,81998457,82176716,82234113,82449969,82465620,82546704,82904334,83012645,83140394,83314985,83386124,83621988,83687756,83762474,84157989,84276914,84341733,84457395,84736302,84779637,84791276,84804208,85038496,85434588,85444030,85496882,85696985,85698194,85791116,85940793,86256302,86389484,86540489,86658905,86710293,86861733,86867225,86910804,87777194,87963328,88084948,88247349,88916211,88924563,89561324,89603474,89659916,90075434,90087888,90152396,90152745,90207590,90545804,90555153,90688686,90796923,90898233,91036844,91679577,91816782,92016524,92197134,92309804,92461726,92505164,92865042,92998745,93100082,93246785,93451614,93679413,93777873,93809714,93988616,94063436,94548716,94683794,94786174,95404734,95668308,95710124,95713682,95760969,95883314,96081400,96096236,96162928,96198342,96225333,96266814,96436745,96661256,96963116,97550369,97827404,98053089,98114924,98154725,98168469,98292785,98358674,98402156,98529926,98659688,98696213,98958744,99154994,99452876,99521734,99615174,99977982,...,1230720512802902192750919349281035367670797407943336924227899430620701009102041036607844104583699568232965577730925467712507387684710187797119723396811821593599052265890803593873926436748402692008250273226858736242384335506413978850528523996354267712749965545498843268816033688430402634418860863556976152736701396465215195679497089032499675074582479937064911520700037951530541836273648916783317611070041924999430469756410565547003278250902763171911322439117993890349606858161363003464358727433283715398486757745913128701333643857039335244068709371365834305596908023785141032315084915646631330121754833697061413600004888271188251186364704953871523294621084490961048336289020664053989047624356227078111505286200453838511474704823611156022704101168493772023061010075131226676793261892264878459345045965532335265746176325727768710440857682901137482395503123733735832137681997776091043249180087880319996245420479340255657724003261883820952448975256974424611383430889373718335981945275497075464873513280124371323685919492011319303796310000265163066445932513488215373502113052608266939641229569007240059851092496030428136653156224927042890780088702943306478640168285579314985590576455556289560836700393600890539537878995974319050984497267975877021005995615603560730309481754455256874725609615877425832223880771687562926881080170603845173453498477625420075522113351396194655237385359834346280677783467202836737569014952642520521478984266546320604290911052277618190874509739818698205679373863758339880525921669406641014399402058221090124497066264524458919876149335597786962914942913593977688728303683144532988066866394125280812936148348678019929655578542284353336625752890215198565948967620911288639668729030606413812279138663835343544968634787054432918538168693913327398537664609347210926275815866907836516180220660268643837505390948554513249828424071257521792440134394020466912152282850691322503276668711894557253460062598117682909344846286977690476214799718779746149967402046514152236586163372839217472033756011161788890473275019396106169739191445977530172457402913239398039626827425063234773960566479958508586780295794016520417245878935543827140972981610998131475292815155887404064324029889304273833204315824353748058339230712336513045113944185132272607831640698847661377815859105513503428254002531076059249728503903578893455448169246037752563848342689701922803027623116600687405715361732584394744746013880905962767913346331191580242734929033784398609959495358125752171496478404}
15545  3014123140193532644534529208130073865739320030894292526777023521: {62164,1009255,1195579,1211106,1442523,1707970,2049564,2249095,2698914,3043292,3331855,3640855,3924283,3998226,4347560,4369026,4447639,4482679,4770651,4891005,5183455,5217072,5645455,5822625,5869206,6107095,6210800,6220146,6307279,6353770,6774546,6875695,6972123,6987150,6987343,7328514,7452960,7489855,7624524,7662434,7687099,7796695,7949824,8166919,8250834,8341023,8384580,8538847,8716255,8887071,8943552,8987826,9326786,9356034,9704523,9787255,9989084,10061496,10248411,10333831,10382383,10459506,10520031,10703695,10981570,11319183,11399179,11466295,11744706,11867791,12075655,12415183,12415323,12532255,12836455,12844434,12954891,12967196,13177884,13323980,13711724,13748095,13759554,13899895,14106763,14270120,14270503,14490786,14658295,14769559,14904266,15038706,15280042,15403746,15581311,15907071,15988776,16039279,16053885,16054892,16172095,16395826,16497714,16679874,17124144,17338507,17380255,17589954,17610079,17785964,17832655,17867551,17987373,18157579,18250754,18435295,19097823,19187695,19244827,19264662,19294831,19406514,19666183,20083954,20089255,20539495,20689495,20856306,20966162,21099370,21139255,21399186,21438895,21691783,22122354,22535419,22935560,23025234,23204456,23359207,23382655,23463439,23541602,23830255,24107106,24150082,24353611,24647394,24827394,24981164,25222604,25231483,25319244,25367106,25402423,25408520,25551163,25595227,25726674,25802505,26105013,26227903,26359855,26427884,26488159,26556079,26805055,26859259,26886679,27257743,27454431,27492610,27522672,27712011,27842455,27882346,28059186,28059931,28584585,28596306,28730095,28751527,29016092,29231983,29473051,29796871,29951660,30020511,30237394,30353695,30490224,30786123,30942895,30944445,30963006,31026802,31602284,31631826,31678495,31736354,32166066,32659244,32692831,32706655,32991132,33007408,33091711,33146695,33149179,33250759,33410946,33452626,33575023,33630860,33879295,33990043,34131259,34146572,34301502,34464655,34476114,34542391,34903255,35081186,35195455,35840523,35845639,35908124,35941992,36071095,36424434,36564610,36591231,36654055,36794794,36838625,37131474,37133334,37708546,37754120,37838091,38014194,38221579,38253895,38370370,38622943,38640391,38761989,39178891,39247986,39269455,39320385,39472759,39776034,39817087,40357032,40434741,40655154,41073610,41250727,41313506,41357586,41451560,41727655,41883906,41941744,41961154,42163042,42234546,42275816,42473385,42489559,42736495,42812347,42861074,43188079,43260123,43285314,43368151,43532287,43580146,43609879,43877532,43984866,43991391,44179003,44206350,44317855,44385682,44891695,45146120,45205851,45304944,45401661,45499003,45577819,45904674,46037455,46038631,46044444,46145225,46173531,46219292,46340671,46373083,46579533,46633005,46707007,46738952,47123346,47153440,47184462,47355970,47378271,47527114,47560293,47807186,47893855,48258103,48577611,48606055,48653479,48734107,49061324,49074242,49121743,49175095,49179451,49288332,49741872,49771551,50027455,50073186,50115980,50425474,50789385,50968062,51122792,51283794,51297320,51343519,51421579,51479899,51670623,51858007,51979882,52204711,52575895,52581321,52683271,53047620,53061679,53181426,53281495,53374711,53555871,53701387,53707676,53845255,53866124,53870034,53949703,54175344,54177512,54766999,54970855,55194123,55244946,55374270,55451825,55623074,55953655,55959606,56234095,56357823,56584128,56794495,56827164,56863922,57074455,57376447,57472626,57513141,57580891,57709485,57968779,58053055,58327266,58435682,58456354,58929610,58985551,59010114,59065888,59174402,59216746,59358171,59559007,59586895,59621527,60032946,60139176,60190305,60560455,60699370,60838255,60947262,60949701,60972559,61073671,61104392,61433659,61472936,61556784,61641291,61984687,62095323,62119207,62205583,62470363,62630839,62639227,62752586,62916655,63091074,63594274,63657144,63937794,64202992,64352523,64534231,64614306,64710655,64801371,64986055,65038423,65039324,65111170,65186959,65306119,65566376,65689085,65921750,65965026,65984587,66027560,66103279,66142731,66360655,66383791,66449124,66542190,66635095,66718999,66753703,66842839,66886543,67144386,67183495,67254591,67349083,67441339,67480914,67597292,67656573,67697823,68045431,68153394,68295980,68468025,68489346,68636827,68742441,69097855,69157053,69163549,69242331,69251382,69418267,69462111,69504970,69663666,69779407,69876914,69915164,69929527,70106060,70213159,70619829,70715532,70812391,70978336,70990124,71140255,71306503,71451692,71504274,71547655,71614287,71655125,71677196,71708882,71926063,72090295,72228366,72232394,72496855,72516351,72672546,72839244,73005906,73032560,73538443,73596891,73762173,74119495,74153145,74203682,74281005,74335207,74408684,74532319,74558527,74713234,75314523,75426871,75499986,75792079,75862786,76139695,76269211,76381023,76435183,76546562,76698764,76806111,76811095,76937026,76967912,77401339,77652786,77899882,77975263,77983266,78133404,78238570,78422674,78468571,78819295,78826902,78877903,78952855,79096688,79106100,79233072,79322594,79548123,79620055,79632786,79823383,79850628,79962114,80019895,80068039,80452279,80552455,80620194,80992994,81022604,81350095,81933751,81955176,82161630,82240039,82253631,82329825,82388023,82470044,82568383,82808695,82917426,82941055,83026856,83166523,83373596,83405964,84040034,84071225,84127272,84130495,84142562,84379840,84534860,84578599,84610903,84674167,84697292,84802111,85173610,85287176,85368306,85579855,85736523,85857186,85986150,86039503,86142171,86327227,86508354,86588901,86749023,86893255,86996226,87155455,87208402,87517447,87639072,87762370,87818480,88039471,88157451,88159483,88210274,88346434,88464055,88749986,88867591,88943394,88983774,89137206,89484610,89754123,89898895,90186242,90289354,90326434,90389719,90699163,90889905,91139871,91158056,91367634,91718560,91847695,91977295,92173314,92199573,92301691,92365855,92719772,92913320,93276379,93405213,93482491,93655185,93685323,93735031,93787495,93841550,93886284,94073691,94131356,94583154,94589479,94643181,94743426,94774663,94905512,94927320,94932079,95146034,95239964,95489770,95544066,95800874,95948073,96023874,96344770,96512779,96567560,96662946,96723739,96850706,96872455,96943666,96949232,97291292,97389212,97605007,97620114,97703186,97767895,98052610,98393804,98502583,98593956,98795790,98805070,98889487,98909479,99043851,99370434,99529266,99582679,99898864,99943351,...,1846080769204353289126379023921553051506196111915005386341849145931051513653061554911766156875549352349448366596388201568761081527065281695679585095217732390398578398836205390810889655122604038012375409840288104363576503259620968275792785994531401569124948318248264903224050532645603951628291295335464229105052094697822793519245633548749512611873719905597367281050056927295812754410473375174976416605062887499145704634615848320504917376354144757866983658676990835524410287242044505196538091149925573097730136618869693052000465785559002866103064057048751458395362035677711548472627373469946995182632250545592120400007332406782376779547057430807284941931626736441572504433530996080983571436534340617167257929300680757767212057235416734034056151752740658034591515112696840015189892838397317689017568948298502898619264488591653065661286524351706223593254685600603748206522996664136564873770131820479994368130719010383486586004892825731428673462885461636917075146334060577503972917913245613197310269920186556985528879238016978955694465000397744599668898770232323060253169578912400409461844353510860089776638744045642204979734337390564336170133054414959717960252428368972478385864683334434341255050590401335809306818493961478576476745901963815531508993423405341095464222631682885312088414423816138748335821157531344390321620255905767760180247716438130113283170027094291982856078039751519421016675200804255106353522428963780782218476399819480906436366578416427286311764609728047308519060795637509820788882504109961521599103087331635186745599396786688379814224003396680444372414370390966533092455524716799482100299591187921219404222523017029894483367813426530004938629335322797848923451431366932959503093545909620718418707995753015317452952180581649377807253040869991097806496914020816389413723800361754774270330990402965756258086422831769874742636106886282688660201591030700368228424276036983754915003067841835880190093897176524364017269430466535714322199578169619224951103069771228354879245059258826208050634016742683335709912529094159254608787168966295258686104369859097059440241137594852160940849719937762880170443691024780625868818403315740711459472416497197212939222733831106096486044833956410749806473736530622087508846068504769567670916277698408911747461048271492066723788658270255142381003796614088874592755855368340183172253869056628845772514034552884204541434674901031108573042598876592117119020821358944151870019496787370364102393550676597914939243037188628257244717606}
15546  3027514800877055571176122538374642752318667341118152072875487025: {77705,93246,295013,527918,821129,1129529,1221893,1456718,1590629,1614808,1651973,1816659,1923364,2197166,2507429,2561955,2566526,2659529,2732752,3023753,3074346,3119486,3477413,3567929,3598552,3658373,3804115,3929273,4038206,4048371,4109513,4229513,4319429,4564938,4767929,5135918,5274053,5330968,5363129,5434450,5452133,5659529,5825368,5997339,6014153,6191033,6360868,6521340,6553539,6631973,6956096,6983429,7763500,7825608,7857518,8293528,8435429,8577806,8637113,8803809,8953253,9032728,9067973,9211193,9296164,9316200,9330219,9474926,9530655,9653918,9771352,9810533,9937280,10066313,10161819,10166032,10480725,10660613,10857929,10992771,11001112,11121364,11179440,11436786,11493651,11613326,11615333,11849428,11922233,11924736,11983768,12117029,12200393,12376251,12474712,12486355,12576870,12671429,12864713,12939364,13277573,13379486,13415328,13442213,13481739,13664548,13906526,13907129,13946008,13990179,14026708,14034051,14081918,14315429,14505353,14667833,14721929,14782046,14983626,15092244,15659608,15689259,15850553,16010633,16197029,16208995,16472355,16553764,16654975,17125912,17139655,17273188,17517029,17559518,17570512,17617059,17731886,17837650,18346072,18480953,18558629,19266651,19276718,19321048,19447646,19450794,19459529,19766826,19985970,20051608,20068615,20129918,20299973,20303899,20538328,20552933,20567586,20639331,20809886,20930873,21209428,21318368,21405180,21681353,21736179,21996952,22053893,22103429,22232455,22239832,22356399,22473929,22499726,22558059,22832192,22835966,22920063,23087429,23105619,23136293,23160713,23453272,23506718,23983164,24082338,24106853,24175166,24341918,24398803,24539429,24587333,24593739,24611273,24746571,25017029,25019811,25463764,25538693,25656713,25686216,25875352,26001518,26079929,26313929,26384931,26500553,26661326,26678946,26849093,27011129,27376131,27808408,27810446,27883913,28043429,28111673,28532248,28564793,28626926,28669450,28881482,28896993,29005570,29109771,29126693,29439173,29496472,29772233,30125931,30323333,30432953,30700312,31226455,31284459,31367429,31449243,31528255,31539653,31649055,31696718,31760650,31946633,32053253,32098779,32142808,32646629,32863192,33024773,33034855,33066629,33103192,33183531,33441893,33587129,33758992,33822808,34143653,34246073,34302232,34403340,34537851,34613129,34806684,34871918,35029166,35312403,35579273,35718629,36015929,36114629,36160659,36225123,36252473,36270115,36546533,36605908,36696896,36699026,36761033,36935813,36949348,36971091,36991339,37060286,37225673,37241091,37283429,37341113,37412248,37439575,37471746,37628453,37819013,37833906,37978866,38050659,38103353,38112780,38128408,38273093,38479673,38590011,38666633,38759918,38927033,39204293,39222713,39502855,39534629,39641826,39662393,40025273,40027348,40474373,40581413,40653632,40794629,40824055,40896583,41048164,41200073,41238915,41259260,41284008,41290282,41583929,41722553,41805518,41823519,41956286,42038575,42088779,42175768,42407726,42492773,42661733,42683215,42888088,42894459,42947129,43063973,43113929,43197029,43313033,43362629,43494533,43524138,43984613,43988176,44097929,44146373,44371493,44387513,44547928,44658629,44732443,44885155,44927490,44941406,45006053,45334073,45356091,45531518,45643193,45735336,45933893,45968152,46265918,46327013,46387013,46444509,46540203,46551353,46610873,46773893,46921253,47192650,47315129,47403426,47405323,47447739,47488313,47604531,47774393,47787364,47859593,47922656,48071333,48169529,48249099,48281273,48565912,48695753,48788308,48859529,48988866,49022153,49167518,49463429,49486698,49508632,49511112,49831013,50026766,50116419,50141093,50178939,50332553,50446290,50450788,50585033,50596718,50622629,50685592,50710073,50747429,50846693,51219858,51452253,51539129,51657929,51681593,51682652,51714171,51814450,52102073,52274213,52330648,52353929,52427180,52489673,52573406,52621779,52657733,52844770,53034712,53053733,53204933,53343929,53375813,53466343,53523653,53742473,53788819,53809376,53845433,53862186,53912988,53967929,54169529,54199493,54206872,54318629,54417029,54636651,54726533,54821573,54846915,54849929,54990629,55143448,55147913,55157093,55192191,55284773,55579529,55697211,55700001,55797029,55845208,55865573,55950533,56033006,56076473,56169518,56177618,56192393,56298629,56312728,56432650,56443493,56554373,56562819,56577929,56631180,56632613,56717753,56748473,56786693,56794313,56900153,56922629,56997029,57011813,57021291,57300773,57370579,57509093,57529529,57549893,57555555,57663929,57680164,57713752,57729929,57762629,57774115,57935753,57954629,58114243,58139429,58157513,58357433,58374629,58420133,58423690,58459529,58503376,58504073,58646488,58655188,58869518,58871979,58916453,58941800,58989113,59003006,59165129,59178533,59222693,59287433,59399429,59459129,59524613,59535929,59580473,59602313,59627429,59655653,59664051,59686793,59737253,59740553,59795429,59851013,59937893,59970629,60002213,60042533,60064313,60083129,60123593,60149129,60179429,60204233,60236839,60274468,60319673,60320933,60331913,60337733,60348773,60359993,60363833,60383429,60401573,60406592,60408713,60409529,60416393,60417029,60419129,60419273,60535548,60982731,61206232,61326655,61392592,61538587,61564708,61610415,61970259,62036379,62106044,62163518,62177340,62644975,62682206,62825859,62831128,62912616,62940686,62941731,63171028,63244563,63351819,63413724,63455918,63584366,63903490,63968846,64121650,64249471,64291611,64770148,64927971,65071903,65370219,65717776,65816298,65977299,66123086,66309525,66322496,66362068,66578523,66764248,67122446,67134595,67332655,67346923,67719180,67721890,67742366,67957416,67989326,68378392,68857011,68894164,69066666,69209602,69328938,70108428,70427246,70685019,70730160,70776693,70908568,71033955,71290671,71386286,71407828,71710779,71826712,72233792,72648499,73276718,73393646,73591986,73592164,73611363,73659928,73832360,73932498,74474851,74612808,74626279,75109779,75143764,75173970,75445504,75638211,75769552,76043246,76380490,76452093,76630168,76684188,76841170,76925691,76945980,77769688,77969823,78395918,78680152,78750919,79144228,79384766,79571430,79763299,79772139,80043928,80185568,80253740,80561514,80799186,80805051,81263016,81266268,81299155,81646718,81957970,82075712,82188388,82534450,82793764,82867419,83042323,83061405,83434611,83939409,84121432,84496615,84830578,84869726,84876192,85072063,85240746,85250392,85275518,85295883,85369975,85803364,86152408,86208939,86279918,86401828,87269918,87393955,87411506,87490899,87632575,87653523,87684531,87953368,88190308,88394415,88515171,88598832,88631726,88722920,88727918,88737655,88761603,88825119,89314615,89525848,89596495,89672788,89974552,90049419,90208764,90247406,90263764,90871192,90993326,91049055,91178366,91290700,91319128,91420893,91546718,91656588,92209404,92323108,92335176,92616148,92884888,93010855,93442766,94128879,94159772,94287376,94323326,94636611,95339032,95391411,95485716,95873455,95906691,96209890,96293966,96304488,96461726,96688468,96721723,96896728,96921459,97118992,97341208,97558986,97666755,97701566,98129188,98349564,98749886,98829518,98859019,98870860,98882625,98947539,99041340,99617918,99673686,99813285,...,2769121153806529933689568535882329577259294167872508079512773718896577270479592332367649235313324028524172549894582302353141622290597922543519377642826598585597867598254308086216334482683906057018563114760432156545364754889431452413689178991797102353687422477372397354836075798968405927442436943003196343657578142046734190278868450323124268917810579858396050921575085390943719131615710062762464624907594331248718556951923772480757376064531217136800475488015486253286615430863066757794807136724888359646595204928304539578000698678338504299154596085573127187593043053516567322708941060204920492773948375818388180600010998610173565169320586146210927412897440104662358756650296494121475357154801510925750886893951021136650818085853125101051084227629110987051887272669045260022784839257595976533526353422447754347928896732887479598491929786527559335389882028400905622309784494996204847310655197730719991552196078515575229879007339238597143010194328192455375612719501090866255959376869868419795965404880279835478293318857025468433541697500596616899503348155348484590379754368368600614192766530266290134664958116068463307469601506085846504255199581622439576940378642553458717578797025001651511882575885602003713960227740942217864715118852945723297263490135108011643196333947524327968132621635724208122503731736297016585482430383858651640270371574657195169924755040641437974284117059627279131525012801206382659530283643445671173327714599729221359654549867624640929467646914592070962778591193456264731183323756164942282398654630997452780118399095180032569721336005095020666558621555586449799638683287075199223150449386781881829106333784525544841725051720139795007407944002984196773385177147050399439254640318864431077628061993629522976179428270872474066710879561304986646709745371031224584120585700542632161405496485604448634387129634247654812113954160329424032990302386546050552342636414055475632372504601762753820285140845764786546025904145699803571483299367254428837426654604656842532318867588888239312075951025114025003564868793641238881913180753449442888029156554788645589160361706392278241411274579906644320255665536537170938803227604973611067189208624745795819408834100746659144729067250934616124709710604795933131263269102757154351506374416547613367621191572407238100085682987405382713571505694921133311889133783052510274758380803584943268658771051829326306812152012351546662859563898314888175678531232038416227805029245181055546153590326014896872408864555782942385867076409}
15547  3040965490182844964166372929357354382424939400765141544973795580: {124328,139869,791877,1412957,2018510,2185077,2391158,2404205,2422212,2885046,3148733,3295749,3415940,3849789,4099128,4498190,4611519,4637789,4664597,4679229,5010053,5097197,5397828,6057309,6086584,6663710,6847407,7256837,7281710,7328189,7454057,7703877,7848566,7903637,7951085,7996452,8151675,8257769,8549933,8695120,8738052,8895278,8965358,9127733,9541302,9625973,9704375,9745097,9782010,10366910,10434144,10485797,10915373,11046509,11290910,11620205,11645250,11738412,11786277,12202757,12214190,12270089,12421600,12440292,12614558,12707540,12866709,13471757,13549092,13702157,13751390,13901705,13944246,13974300,13974686,14212389,14480877,14657028,14672489,14811785,14905920,14979710,14985173,15249048,15324868,15374198,15593390,15899648,16052813,16174205,16333838,16473413,16501668,16671629,16682046,16769160,16905917,17077694,17080685,17155179,17419989,17432510,17533385,17545157,17774142,17887104,17926253,17971037,17975652,18496973,18653572,18712068,18865305,19247333,19409046,19459853,19574510,19681853,19978168,20069229,20122992,20496822,20521613,20625509,20667662,20692205,20750693,20764766,20859789,20919012,21040062,21122877,21182537,21407390,21458957,21591485,21963140,22173069,22475439,22638366,22640933,22798358,22932590,23489412,23735582,24151310,24332357,24607997,24830366,24830646,24965717,25064510,25672910,25688868,25809413,25909782,25934392,25942229,26107349,26339277,26355768,26511785,26597829,26647960,26756475,26862773,27012677,27423448,27496190,27519108,27563789,27799790,28124957,28213526,28540240,28541006,28587389,28755293,28915077,28965293,28981572,29171469,29176191,29316590,29539118,29594957,29604413,29650239,29808532,29978955,30014453,30021293,30077412,30194877,30196829,30560084,30807492,30851379,31162622,31214829,31384457,31814142,31829705,31977552,32078558,32107770,32109784,32344190,32735717,32791652,32995428,33359748,33362357,33729533,33749589,34248288,34253949,34417637,34546889,34677014,34760510,34947509,35179908,35212829,35220158,35260077,35370749,35571928,35665310,35735102,35974746,36123507,36262749,36315158,36368933,36501508,36512877,36870590,36903797,37162613,37527077,37562789,38195646,38283197,38375390,38489654,38529324,38558333,38589662,38813028,38979437,39002277,39332366,39991989,40018419,40062773,40167908,40178510,40222133,40506989,40558253,41030537,41078990,41378990,41712612,41715669,41932324,42198740,42278510,42410933,42495173,42563093,42798372,42877790,42940389,43004175,43320053,43322223,43383566,43508355,44116613,44244708,44263613,44349893,45070838,45170957,45757385,45789317,45871120,46050468,46186685,46405373,46408912,46494173,46718414,46765310,46926878,47083204,47228873,47376317,47431013,47545077,47640975,47660510,48214212,48250517,48300164,48707222,48740453,48864557,49213709,49273637,49294788,49654788,49962328,49968053,50034185,50445208,50462966,50499533,50638488,50734212,50804846,50817040,51040457,51102326,51190454,51310205,51315677,51453348,51574075,51605010,51864773,52201949,52210026,52211549,52307877,52455806,52543749,52719710,52855768,52930037,52976318,53112158,53390429,53555453,53610110,53718518,53771549,53773358,54515486,54781277,54908862,54949253,54977237,54985220,55045344,55048539,55317257,55424022,55521773,55590429,55684910,55764692,56118372,56119862,56207619,56342693,56685053,56750859,56968299,57169170,57192612,57383933,57460190,57503054,57588389,57958949,58028837,58032184,58052969,58139877,58302893,58418717,58463966,58946102,59462739,59593742,59734205,59831093,59903320,60041022,60474788,60707390,60770957,60980448,60985385,61572246,61885790,61888890,61926012,61935423,62044997,62053604,62112233,62639033,62708277,62709257,62848373,62934429,63063485,63204568,63263652,63356990,63472708,63611589,64332132,64452437,64603315,65286207,65318488,65385662,65413310,65533975,65982264,66014816,66112013,66183422,66259493,66293390,66298358,66501518,66565949,66821892,66905252,67051397,67150046,67261720,67391235,67412109,67758590,67980086,68048477,68054309,68211029,68262518,68293144,68297277,68508557,68603004,68634089,68845133,68929310,68952228,69084782,69188957,69398877,69427349,69806510,69938633,69999173,70038437,70162372,70298213,70390910,70788975,71105139,71681046,71691278,71816248,71883984,72100205,72142190,72284717,72848868,72856013,73129220,73182462,73308110,73318985,73483299,73515689,73589588,73606253,73677250,73751277,74230047,74262948,74266668,74313989,74568293,74594093,74752253,74784869,75040149,75343085,75383357,75417092,75508240,75669435,75676182,75895077,76028388,76443158,76507790,76740740,76766789,76829787,76955885,76959197,77245886,77280782,77523978,77632555,77721675,77925737,77988749,78122057,78335117,78357782,78495972,78538910,78640770,78727733,78848093,78860109,78945518,78963785,79267155,79461773,79512293,79552068,79634174,79904237,80714064,80793279,80869482,80962685,80969657,81274277,81310308,81517493,82071929,82147220,82501454,82627012,82715172,82903120,82952585,83421653,83455310,83767812,83883488,83922308,83973797,84019469,84049509,84254277,84266427,84326084,84469092,84551632,84648975,84685193,84784637,84946770,84979118,85003529,85173557,85472990,85524773,85624694,85722148,85810733,86117705,86369789,86376158,86520246,86570628,86596109,86736302,86909069,87040697,87064574,87160292,87219758,87635535,87755064,87969732,87982782,88082693,88083317,88304277,88358006,88405949,88412700,88504509,88635710,88771364,89259785,89572457,89783390,89917253,90292240,90332489,90411702,90594917,90609888,90803322,90980477,90998006,91155638,91761437,91776533,91809348,91964719,91990205,92074910,92077262,92088888,92290450,92347062,92438584,92681342,92746166,92904917,93159066,93245277,93254069,93266010,93289133,93414014,93477904,93553133,93663533,93929705,94023309,94056893,94246692,94306880,94368924,94411029,94711940,94756542,95054228,95120586,95183877,95376549,95614372,95787710,95855235,95953269,96182475,96516206,96651389,96736997,97155222,97212110,97306958,97468214,98122648,98148484,98243486,98287709,98350190,98358902,98576664,98724447,98801513,98930285,99184629,99203669,99483744,99543102,99596357,99680933,99974117,...,3692161538408706578252758047843106103012392223830010772683698291862103027306123109823532313751098704698896733192776403137522163054130563391359170190435464780797156797672410781621779310245208076024750819680576208727153006519241936551585571989062803138249896636496529806448101065291207903256582590670928458210104189395645587038491267097499025223747439811194734562100113854591625508820946750349952833210125774998291409269231696641009834752708289515733967317353981671048820574484089010393076182299851146195460273237739386104000931571118005732206128114097502916790724071355423096945254746939893990365264501091184240800014664813564753559094114861614569883863253472883145008867061992161967142873068681234334515858601361515534424114470833468068112303505481316069183030225393680030379785676794635378035137896597005797238528977183306131322573048703412447186509371201207496413045993328273129747540263640959988736261438020766973172009785651462857346925770923273834150292668121155007945835826491226394620539840373113971057758476033957911388930000795489199337797540464646120506339157824800818923688707021720179553277488091284409959468674781128672340266108829919435920504856737944956771729366668868682510101180802671618613636987922957152953491803927631063017986846810682190928445263365770624176828847632277496671642315062688780643240511811535520360495432876260226566340054188583965712156079503038842033350401608510212707044857927561564436952799638961812872733156832854572623529219456094617038121591275019641577765008219923043198206174663270373491198793573376759628448006793360888744828740781933066184911049433598964200599182375842438808445046034059788966735626853060009877258670645595697846902862733865919006187091819241436837415991506030634905904361163298755614506081739982195612993828041632778827447600723509548540661980805931512516172845663539749485272213772565377320403182061400736456848552073967509830006135683671760380187794353048728034538860933071428644399156339238449902206139542456709758490118517652416101268033485366671419825058188318509217574337932590517372208739718194118880482275189704321881699439875525760340887382049561251737636806631481422918944832994394425878445467662212192972089667912821499612947473061244175017692137009539135341832555396817823494922096542984133447577316540510284762007593228177749185511710736680366344507738113257691545028069105768409082869349802062217146085197753184234238041642717888303740038993574740728204787101353195829878486074377256514489435212}
15548  3054475466242899933155550854318149188303536294869584126643772339: {108787,155410,186492,573907,590026,1055836,1498747,1642258,1682851,2259058,2416387,2443786,2913436,3027765,3054451,3181258,3229616,3303946,3508051,3586737,3633318,3688987,3846728,4140067,4230067,4269925,4327569,4394332,4678987,5014858,5036827,5123910,5133052,5304451,5319058,5325761,5465504,6047506,6148692,6191851,6238972,6747285,6896587,6954826,7135858,7197104,7316746,7334707,7608230,7858546,8076412,8096742,8219026,8459026,8638858,8983147,9129876,9241051,9535858,9840307,9995565,10271836,10548106,10661936,10726258,10774867,10868900,10904266,10922565,11112547,11319058,11365051,11650736,11772849,11951707,11994678,12028306,12382066,12721736,13042680,13107078,13263946,13342917,13444051,13448037,13912192,13966858,14311953,14425987,14507347,14673015,15478051,15527000,15550365,15651216,15715036,15719107,15884425,16119427,16279051,16587056,16870858,16936365,17155612,17230747,17274226,17467875,17480897,17607618,17906506,18065456,18135946,18321285,18422386,18483547,18592328,18632400,18660438,18871267,18921837,18949852,19061310,19156085,19307836,19542704,19621066,19794451,19874560,20132626,20323638,20332064,20627085,20916369,20961450,20962029,21321226,21684451,21715858,21985542,22002224,22242728,22358880,22469565,22649467,22692593,22873572,22987302,23061297,23164051,23226652,23230666,23316965,23390085,23698856,23844466,23849472,23967536,23995517,24037987,24234058,24254851,24400786,24500757,24614851,24752502,24949424,24972710,25023069,25153740,25342858,25471507,25542427,25616541,25684051,25729426,25878728,26148765,26527747,26555146,26661213,26758972,26830656,26884426,26963478,27222907,27329096,27453925,27813052,27814258,27892016,27980358,28053416,28068102,28096061,28163836,28591627,28630858,28659307,28834949,29010706,29113569,29335666,29361765,29443858,29564092,29599267,29798851,29931547,29967252,30184488,30262027,30745233,31001493,31125437,31147149,31242667,31307467,31319216,31378518,31436851,31560093,31701106,32021266,32111085,32394058,32417990,32944710,33029851,33107528,33309950,33957549,34197537,34251824,34271851,34279310,34398885,34546376,34760587,34882051,35034058,35119036,35141024,35184451,35234118,35365027,35463772,35603373,35604787,35675300,36199147,36226965,36692144,36961906,37117258,37245549,37245969,37260665,37366267,37596765,37653547,37995907,38200105,38222707,38509365,38533302,38553436,38642096,38864673,38895292,38901588,38919058,39229051,39533652,39971940,40049851,40103216,40137230,40158067,40259836,40480987,40599946,40607798,40989565,41076656,41105866,41135172,41224387,41244285,41278662,41619772,41699685,41861746,42159451,42261907,42320289,42418856,42516787,42636736,42810360,42811509,43071187,43362706,43472358,43717037,43910851,43974885,43993904,44056867,44107786,44139557,44206858,44308677,44395051,44464910,44479664,44712798,44947858,44999452,45013747,45116118,45626885,45664384,45666427,45671932,45840126,46174858,46211238,46248797,46272586,46321426,46350067,46574347,46618987,46743933,46906544,47013436,47017507,47721213,47797051,47882227,47966328,48093907,48117837,48161655,48164676,48213706,48345547,48350332,48516285,48683836,48797606,49078858,49174666,49187478,49222546,49493142,50034058,50039622,50111707,50209885,50303587,50606851,50719387,50778161,50927528,51077386,51313426,51344851,51372432,51750704,51949507,52003036,52015521,52140765,52159858,52226851,52415405,52465747,52627858,52748425,52769862,52830237,53001106,53322652,53357892,53386051,53497965,53602653,53698186,53701051,53947867,53962119,54022258,54220027,54378973,54472737,54752262,54832387,54973507,55029451,55168051,55303997,55305885,55616816,55620892,55625827,55767826,55885387,55910947,56086858,56087851,56223346,56285707,56455051,56644267,56737147,56806051,57064496,57129586,57153677,57253852,57293469,57338900,57417907,57563085,57734481,57762964,57793986,57800947,57884493,57954451,57992107,58011140,58048051,58176067,58219542,58253386,58438507,58455427,58538947,58604467,58763227,58854005,58878346,58929547,58992944,58998549,59002267,59073187,59101051,59196307,59300851,59542051,59544466,59564587,59619667,59683387,59754451,59756501,59783827,59877067,60019051,60056851,60127051,60146707,60251862,60267765,60271051,60335851,60353851,60375205,60378907,60411667,60424051,60426427,60434851,60646666,60865906,61400624,61618485,62068485,62452910,62568918,62734858,62839217,62898486,63056510,63079306,63298110,63393436,63417765,63521300,63893266,64106506,64197558,64285616,64316685,65075349,65293258,65726384,66049546,66069710,66133258,66206384,66367062,66652597,66883786,67174258,67517984,67606257,67645616,68287306,68492146,68604464,68680469,68731525,68806680,69075702,69226258,69613368,69705865,69743836,70058332,70077621,70147965,70390317,70624806,71158546,71437258,71490765,72031858,72229258,72321318,72450246,72504946,72540230,72727421,73060833,73093066,73211816,73393792,73398052,73522066,73871626,73898696,73942182,73982678,74120572,74451346,74482182,74566858,74682226,74824496,74879150,74943492,75256906,75593485,75638026,75667812,75694449,75931193,75957732,76101318,76136761,76206706,76207269,76225560,76256816,76546186,76653489,76785681,76959346,77180022,77333266,77407515,77519836,77567005,77854066,78315039,78408586,78445426,78683709,79005710,79069258,79079565,79283652,79324786,79340885,79464477,79668237,80050546,80054696,80415165,80577777,80660037,80883761,80948746,81162826,81307264,81589258,81648110,81773229,81793166,82096328,82363293,82400146,82477830,82518520,82568016,82580564,83136033,83167858,83445106,83527365,83611036,83631565,83647038,83912572,84077150,84177558,84179793,84351536,84815452,84985546,85323466,85366430,85753755,85776176,85788918,85857317,85894258,86127946,86190285,86227858,86254581,86394058,86626066,86725258,86989066,87048276,87695949,87702965,87969226,87976352,88015733,88195858,88292746,88419153,88742986,88775026,89095856,89317258,89390613,89464886,89770310,89854980,89882812,90012106,90061533,90668146,90712182,91061085,91063036,91286386,91411525,91470672,91867786,91936304,91986985,92358369,92531836,92654026,92774026,92828685,92833335,92889018,93080406,93102706,93221746,93547786,93842506,93988433,94265717,94271365,94385300,94630258,94806852,94810646,94895478,94976626,95035485,95080541,95209062,95548786,95574728,95719186,95845312,95925925,96142666,96339058,96498198,96562546,97131824,97391506,97576616,97719058,97977732,98044306,98078493,98119965,98335036,98926858,98973396,99017264,99022224,99228349,99275133,99440085,99447537,99662026,99752277,...,5538242307613059867379137071764659154518588335745016159025547437793154540959184664735298470626648057048345099789164604706283244581195845087038755285653197171195735196508616172432668965367812114037126229520864313090729509778862904827378357983594204707374844954744794709672151597936811854884873886006392687315156284093468380557736900646248537835621159716792101843150170781887438263231420125524929249815188662497437113903847544961514752129062434273600950976030972506573230861726133515589614273449776719293190409856609079156001397356677008598309192171146254375186086107033134645417882120409840985547896751636776361200021997220347130338641172292421854825794880209324717513300592988242950714309603021851501773787902042273301636171706250202102168455258221974103774545338090520045569678515191953067052706844895508695857793465774959196983859573055118670779764056801811244619568989992409694621310395461439983104392157031150459758014678477194286020388656384910751225439002181732511918753739736839591930809760559670956586637714050936867083395001193233799006696310696969180759508736737201228385533060532580269329916232136926614939203012171693008510399163244879153880757285106917435157594050003303023765151771204007427920455481884435729430237705891446594526980270216023286392667895048655936265243271448416245007463472594033170964860767717303280540743149314390339849510081282875948568234119254558263050025602412765319060567286891342346655429199458442719309099735249281858935293829184141925557182386912529462366647512329884564797309261994905560236798190360065139442672010190041333117243111172899599277366574150398446300898773563763658212667569051089683450103440279590014815888005968393546770354294100798878509280637728862155256123987259045952358856541744948133421759122609973293419490742062449168241171401085264322810992971208897268774259268495309624227908320658848065980604773092101104685272828110951264745009203525507640570281691529573092051808291399607142966598734508857674853309209313685064637735177776478624151902050228050007129737587282477763826361506898885776058313109577291178320723412784556482822549159813288640511331073074341877606455209947222134378417249491591638817668201493318289458134501869232249419421209591866262526538205514308703012748833095226735242383144814476200171365974810765427143011389842266623778267566105020549516761607169886537317542103658652613624304024703093325719127796629776351357062464076832455610058490362111092307180652029793744817729111565884771734152818}
15549  3068044988309091706408599404384229820552021763181743291592620205: {233115,248656,279738,885039,1319795,1583754,1878767,2463387,2825914,3365887,3388587,3641795,3665679,4037020,4370154,4771887,4782316,4808410,4844424,4955919,5449977,5492915,5599471,5770092,6297466,6416315,6591498,6831880,6989147,7522287,7685865,7699578,7798715,7978587,8198256,8660587,8996380,9071259,9223038,9275578,9329194,9358458,10020106,10095515,10194394,10336499,10432239,10703787,10795656,10891579,10975119,11131519,11412345,11787819,12079727,12114618,12145113,12173168,12328539,12688539,12839795,12958287,13327420,13586125,13694814,14303787,14513674,14563420,14656378,14908114,15407754,15519419,15697132,15807274,15822159,15902170,15992904,16089387,16268287,16303350,16356399,16515538,16978587,17099866,17390240,17476104,17790556,17930716,17992017,18042459,18255466,18573099,18661427,18861587,19082604,19251946,19408750,19462387,19468579,19490194,19564020,19643795,19660617,19895919,20733820,20736499,20868288,20950287,20971594,20988719,21089699,21444515,21830746,21860059,22093018,22581820,22643887,23191951,23209307,23240410,23290500,23365259,23476824,23572554,23687315,23772779,23912959,24134795,24405514,24428380,24540178,24546739,24843200,24880584,25229116,25306287,25415080,25733418,25911339,26000027,26411427,26453771,26859759,26943514,27098184,27203919,27404314,27502780,27633579,27803410,27888492,27948600,27949372,27990657,28424778,28591965,28961754,28969087,29033315,29314056,29344978,29431599,29480687,29623570,29793347,29811840,29959420,29970346,30190639,30198939,30228079,30241871,30485457,30498096,30649736,30748396,31186780,31442175,31799296,31981839,32091727,32105626,32348410,32573787,32575387,32667676,32946826,32978313,33003336,33343258,33364092,33448715,33538320,33811834,34155388,34161370,34298027,34310358,34480953,34766315,34839978,34845999,34865020,34872907,35066770,35090314,35204795,35548284,35766699,35774208,35852506,35942074,35951304,36351087,36601179,36955115,36993946,37116499,37128753,37307144,37424136,37459065,37730610,37810111,38014287,38494666,38594139,38818092,38919706,38965139,39149020,39363706,39832719,39956336,40058387,40138458,40221071,40245984,40326639,40445217,40647631,40993644,41043226,41251018,41335324,41384410,41501386,41529532,41700739,41719578,41721387,41838024,41970537,42080124,42102153,42207407,42245754,42365074,42814780,42823439,42917914,42946287,43182970,43379387,43516059,43898795,43926280,44003499,44165787,44329715,44346138,44392387,44479759,44561587,44594125,44950878,45170819,45180971,45276732,45281866,45568939,45596716,45857659,45865180,46978824,47067777,47471164,47551659,47826539,48031899,48191795,48302620,48591087,48619115,48626985,48664714,49215994,49417065,49660732,49661292,49931434,49964925,50129020,50324795,51345820,51377736,51418965,51618826,51819564,51868784,51884458,52024715,52091567,52214698,52405519,52551087,52678554,52696979,52711536,52785211,52851177,53023570,53195658,53295920,53512950,53725546,54025354,54846896,54947659,54992380,55038216,55127578,55442859,55599580,55675887,56249315,56249914,56427052,57080480,57082012,57089915,57174778,57403867,57510586,57799953,57830154,57930586,57963144,57966511,58342938,58352382,58378587,58633180,58766795,58993919,59078236,59189914,59208826,59300478,59617064,59957910,60028906,60042586,60154824,60205845,60389754,60393658,60437915,60594367,60599339,60854795,60899919,60911697,61116659,61120168,61413871,61614984,61658799,61702758,61917993,62325244,62429658,62768914,62792619,63628284,63659410,63955104,64060339,64157116,64215540,64219568,64472579,64661359,64688380,64822571,64855759,65003795,65044059,65208537,65471434,65583304,65990856,66161679,66310287,66586819,66653315,66697365,66719496,66724714,66769307,67069197,67421787,67459066,67499178,67564187,67674177,67801787,68267699,68496576,68507898,68760189,68835274,68903419,69093778,69262287,69316857,69354028,69408879,69455699,69482139,69521020,69526115,69797699,69895018,70008331,70047859,70359816,70425658,70440316,70520154,70741498,71143856,71330620,71470204,71567315,71622287,71673625,71834287,71949492,72203705,72247014,72320559,72513925,72525498,72630316,72737866,73003016,73025754,73108547,73196409,73618287,73741180,73761999,73781217,73807594,73833819,74239713,74325226,74761987,75051087,75054154,75059433,75125578,76391292,76455467,76566394,76616079,76750780,76970139,76979308,77058648,77116666,77179324,77626056,77958874,78004554,78132379,78239787,78568591,78664732,78941787,79063339,79154793,79241795,79401625,79501659,79876079,79983978,80036838,80125546,80335816,80357020,80444266,80547279,80870651,81013978,81033387,81116506,82061074,82128393,82157980,82589867,82757980,83425224,83431338,83627887,83651739,83864648,84032639,84130287,84335019,84397480,84557020,84821866,84907331,84990346,85126186,85379539,85596744,85694379,85755580,85821907,85880778,86008350,86062427,86640106,86644446,86690979,86767132,87016710,87179795,87329313,87380079,87572915,88233226,88288879,88317519,88489416,88527226,88699786,89316699,90141676,90255059,90341914,90377793,90444641,90495499,90724387,90969999,91068547,91298859,91514770,91578634,91742240,91747565,92100936,92128787,92325887,92373370,92569819,92600819,92650715,92810746,92817824,92988346,93436828,93530620,93679365,93690971,93828131,93853377,93853756,94102287,94166408,94347729,94457746,94502911,94584765,94618959,94752634,94862026,94947165,95090154,95281950,95321020,95586511,95839899,96055231,96159759,96296337,96428424,96501034,96538607,96600328,96899795,97112879,97280779,97414444,97480906,97729114,97939887,98427418,98433071,98547274,98589576,98635139,99074319,99104565,99199887,99309576,99550593,99924656,99936106,...,8307363461419589801068705607646988731777882503617524238538321156689731811438776997102947705939972085572517649683746907059424866871793767630558132928479795756793602794762924258649003448051718171055689344281296469636094264668294357241067536975391307061062267432117192064508227396905217782327310829009589030972734426140202570836605350969372806753431739575188152764725256172831157394847130188287393874722782993746155670855771317442272128193593651410401426464046458759859846292589200273384421410174665078939785614784913618734002096035015512897463788256719381562779129160549701968126823180614761478321845127455164541800032995830520695507961758438632782238692320313987076269950889482364426071464404532777252660681853063409952454257559375303153252682887332961155661818007135780068354517772787929600579060267343263043786690198662438795475789359582678006169646085202716866929353484988614541931965593192159974656588235546725689637022017715791429030582984577366126838158503272598767878130609605259387896214640839506434879956571076405300625092501789850698510044466045453771139263105105801842578299590798870403994874348205389922408804518257539512765598744867318730821135927660376152736391075004954535647727656806011141880683222826653594145356558837169891790470405324034929589001842572983904397864907172624367511195208891049756447291151575954920811114723971585509774265121924313922852351178881837394575038403619147978590850930337013519983143799187664078963649602873922788402940743776212888335773580368794193549971268494826847195963892992358340355197285540097709164008015285061999675864666759349398916049861225597669451348160345645487319001353576634525175155160419385022223832008952590320155531441151198317763920956593293232884185980888568928538284812617422200132638683914959940129236113093673752361757101627896484216489456813345903161388902742964436341862480988272098970907159638151657027909242166426897117513805288261460855422537294359638077712437099410714449898101763286512279963813970527596956602766664717936227853075342075010694606380923716645739542260348328664087469664365936767481085119176834724233823739719932960766996609611512816409682814920833201567625874237387458226502302239977434187201752803848374129131814387799393789807308271463054519123249642840102863574717221714300257048962216148140714517084763399935667401349157530824275142410754829805976313155487978920436456037054639988578691694944664527035593696115248683415087735543166638460770978044690617226593667348827157601229227}
15550  3081674316757983541490767110029039359924807349309972526650768507: {217574,310820,357121,372984,419607,821341,1147814,1180052,1283761,1376029,1652401,2111581,2111672,2294749,2375631,2568961,2660221,2933569,2997494,3284516,3365702,3840049,4020481,4238871,4290589,4518116,4828861,4832774,4887572,5046275,5826872,5897629,5977895,6055530,6074749,6108902,6339889,6362516,6459232,6555231,6607892,6692401,6780349,7016102,7043761,7173474,7212615,7266636,7377974,7693456,8280134,8460134,8539850,8655138,8788664,8869501,8955649,9357974,9446199,9727741,9813169,9887247,10029716,10073654,10154161,10247820,10266104,10608902,10638116,10651522,10663489,10931008,11245475,11549367,11758141,11925469,12095012,12175921,12297384,12383702,12477944,12923389,13336129,13494570,13582909,13793174,13834557,13909652,13913367,13993791,14037687,14271716,14394208,14633492,14669414,14725981,14969089,15030159,15216460,15291591,15372829,15717092,15935041,16152824,16193484,16438052,16659275,16732081,16918052,16969789,17277716,17521921,17600509,17966294,18171927,18204275,18259752,18482102,18537949,18615601,19071716,19465021,19621415,19680614,19991130,20542221,20543672,20987101,21062449,21096212,21323872,21452516,21549734,21737341,21737800,21770511,21808532,21845130,21984567,22109761,22225094,22238195,22362171,22413395,22554289,22638116,22730102,22775581,23111631,23142961,23301472,23545698,23654269,23710911,23799709,23853255,23903414,23989356,24056612,24455025,24594481,24764132,24773307,25443472,25593409,25649799,25917275,25946749,26085360,26214156,26298289,26527892,26685834,26787421,26818519,26888102,26896074,27065341,27383199,27411121,27823681,27824384,27933716,28028989,28097281,28227275,28233649,28573309,28623906,28843741,28851974,28877919,29014694,29113125,29235291,29346030,29514781,29781181,30535475,30573469,30835261,30956102,31054000,31100730,31302432,31430072,31438214,31457391,31536395,31549249,31768850,31806721,31906127,31999069,32063041,32238854,32558102,32643751,32746119,33076801,33139527,33139549,33174112,33576769,33741716,33763069,33872730,34010461,34077667,34256701,34311224,34378475,34461494,34548452,34860615,34935750,34936715,34961794,34988509,35109469,35215236,35358831,35813012,36066781,36130912,36271892,36303229,36479809,36608271,36642570,36655741,36714241,36772669,36810267,36844772,36967094,37063729,37184656,37264800,37320876,37449275,37742534,37754929,37843674,37869121,37899704,38122620,38312170,38435495,38600127,38615672,38939581,38983475,39085408,39242132,39547441,39588902,39711709,39749120,40265252,40415271,40416049,40630321,40647276,40664128,40834595,40843441,41106471,41213629,41254170,41371201,41705115,41736349,41832738,41922900,41924058,42506929,42637167,42642452,42694235,42860989,43161661,43211521,43368902,43431716,43442631,43581275,43971084,43999489,44004448,44017467,44338429,44386561,44435355,44485456,44717760,44911261,44939130,44955519,45052849,45298934,45385186,45566461,45658909,45747144,45974604,46122594,46207549,46328102,46453304,46461332,46633930,46780170,46790209,47142721,47230129,47360701,47397712,47688932,47698944,47876509,47935072,47991034,48075974,48158439,48172609,48298429,48468116,48509702,48522615,48630781,48801572,48877021,48936275,48999169,49001514,49229702,49420239,49441501,49481281,49505004,49600189,49679101,49875121,49898848,49945420,50014887,50030641,50046138,50307480,50685716,50717751,50939569,50943014,51013441,51084854,51233082,51242055,51306049,51368102,51458852,51465537,51669155,51700861,51757456,51911915,52164931,52259967,52293889,52297530,52396381,52430401,52600155,52635471,52866109,53030449,53055494,53110292,53225281,53322426,53480147,53517944,53518475,53661312,53768852,53778759,53913111,53926956,54009181,54130429,54220609,54310141,54339841,54445814,54658192,54719389,54748081,54805249,54890461,54907850,55142209,55197361,55490919,55626104,55628516,55784032,55960716,56106832,56115901,56136204,56190529,56192122,56215261,56327672,56482561,56553949,56577601,56595915,56787229,56995895,57035521,57183254,57261716,57318614,57331475,57338929,57385391,57402109,57485341,57608029,57669898,57688381,57741999,57747889,57884221,58021412,58129247,58146301,58182589,58227138,58307329,58342321,58359709,58379559,58529629,58671332,58723530,58801969,58878109,58887716,58952449,59024989,59045559,59067649,59128184,59198534,59271229,59297149,59335489,59338955,59505841,59597702,59607901,59629789,59813821,59863094,59869981,59934504,59999041,60022909,60030721,60104881,60178141,60207687,60231601,60253489,60333661,60349501,60364189,60368976,60378275,60395869,60433201,60434749,60440221,60448321,60450301,60524054,61490466,61564839,61876527,62002986,62075915,62076615,62250874,62252079,62294298,62485334,62579367,62614934,62638432,62661275,62757036,62873702,63120186,63368631,63402212,63547611,63877639,64042532,64182275,64222170,64266059,64376871,64774455,64788116,64835980,65889420,66059702,66215056,66519207,66619900,67426317,67915098,67922799,68395074,68503648,68543702,68558620,68740475,68797770,69092752,69499475,69521174,69764102,70068116,70238072,70282048,70293839,70368902,70468236,70533815,70730054,70927544,71206746,71209574,71350600,71352515,72398294,72453930,72997071,73291475,73381567,73384288,73823991,73847795,73923812,74234516,74491098,74491938,74494079,74521330,74732534,74897151,75193530,75307094,75991814,76400210,76445414,77018730,77066604,77106872,77284192,77428239,77729346,77790584,77803176,77826687,77838116,77906555,78322047,78458102,78771251,79017831,79067304,79535355,79793487,79943880,80099702,80196395,80206432,80269425,80274460,80316134,80519672,80588319,80860475,80961974,81038031,81167827,81199892,81215596,81979130,82153312,82211732,82270344,82395607,82448774,82488570,82557324,82691367,83239544,83399370,83723492,84018539,84318902,84374871,84523814,84525287,84640578,84837712,85033574,85094027,85273472,85620720,85623018,85762167,86142374,86265879,86692535,86725412,86745231,86895879,86901275,86944716,87434074,87514407,87528573,87821702,87949770,87987808,88050395,88113734,88215572,88279114,88413716,88617354,88784871,88790102,88813239,88929820,88950717,88959328,89163275,89337755,89425596,89895716,89936865,89998904,90027494,90043359,90063879,90153767,90232236,90584631,90590487,90787895,91253770,91328768,91332854,91343864,91680252,92176475,92349716,92422476,92497594,92545172,92554137,92642852,92700134,93148694,93237974,93487866,93644487,93813088,94026872,94035014,94153371,95442426,95489115,95594102,95764454,95932656,95938475,96187814,96224135,96235674,96323310,96329352,96427412,96474155,96691094,96700664,97032570,97367672,97588211,97595212,98157716,98207151,98330915,98349332,98374956,98445092,98986284,...,11076484615226119734758274143529318309037176671490032318051094875586309081918369329470596941253296114096690199578329209412566489162391690174077510571306394342391470393017232344865337930735624228074252459041728626181459019557725809654756715967188409414749689909489589419344303195873623709769747772012785374630312568186936761115473801292497075671242319433584203686300341563774876526462840251049858499630377324994874227807695089923029504258124868547201901952061945013146461723452267031179228546899553438586380819713218158312002794713354017196618384342292508750372172214066269290835764240819681971095793503273552722400043994440694260677282344584843709651589760418649435026601185976485901428619206043703003547575804084546603272343412500404204336910516443948207549090676181040091139357030383906134105413689791017391715586931549918393967719146110237341559528113603622489239137979984819389242620790922879966208784314062300919516029356954388572040777312769821502450878004363465023837507479473679183861619521119341913173275428101873734166790002386467598013392621393938361519017473474402456771066121065160538659832464273853229878406024343386017020798326489758307761514570213834870315188100006606047530303542408014855840910963768871458860475411782893189053960540432046572785335790097311872530486542896832490014926945188066341929721535434606561081486298628780679699020162565751897136468238509116526100051204825530638121134573782684693310858398916885438618199470498563717870587658368283851114364773825058924733295024659769129594618523989811120473596380720130278885344020380082666234486222345799198554733148300796892601797547127527316425335138102179366900206880559180029631776011936787093540708588201597757018561275457724310512247974518091904717713083489896266843518245219946586838981484124898336482342802170528645621985942417794537548518536990619248455816641317696131961209546184202209370545656221902529490018407051015281140563383059146184103616582799214285933197469017715349706618418627370129275470355552957248303804100456100014259475174564955527652723013797771552116626219154582356641446825569112965645098319626577281022662146148683755212910419894444268756834498983183277635336402986636578916269003738464498838842419183732525053076411028617406025497666190453470484766289628952400342731949621530854286022779684533247556535132210041099033523214339773074635084207317305227248608049406186651438255593259552702714124928153664911220116980724222184614361304059587489635458223131769543468305636}
15551  3095363713095671216186073968479550061465216834764585001036045377: {15551,326361,388525,466230,497312,559476,1475065,1721721,1770078,1847713,2220361,2639590,3167508,3757534,4105645,4496241,4926774,4948009,5048553,5098513,5647645,5651828,6064801,6109465,6731774,6777174,7249161,7283590,7330081,7331358,7690081,7953145,8009881,8074040,8259865,8259901,8740308,8982841,9083295,9163353,9543774,9564632,9616820,9688848,9747613,9911838,10524153,10760211,10798621,10899954,10918201,10985830,11049361,11066961,11198942,11403601,11540184,12420001,12420201,12537145,12594932,12690201,12809775,12832630,12982707,13029613,13182996,13297645,13435609,13663760,13978294,14036961,14133721,14276041,15044574,15110481,15118765,15126529,15371730,15399156,15597430,15913353,15957174,15977283,16045501,16396512,16477681,17152729,17321174,17345233,17387065,17616913,17839645,17975713,17992760,18142518,18291865,18446076,18551156,18575553,18658388,18716916,19020575,19175761,19187101,19646365,20040212,20191030,20241855,20388788,20547565,20672998,20689761,20856889,20864478,21147565,21407574,21531961,21591312,21597145,21700201,21783158,21801361,21950238,22004121,22263038,22544161,22824690,23472541,23548129,23575638,23825401,23839645,24159454,24229236,24290226,24346336,24657078,25225849,25377078,25412281,25679590,25916574,26114113,26370265,26566441,26654840,26815645,26897113,26949441,27172250,27260665,27268321,27350509,27389628,27429181,27501313,27570961,27723153,28061713,28240201,28278169,28297645,28607574,29027348,29126840,29312756,29520921,29816228,29986695,30022321,30070765,30245809,30319021,30579769,30815508,30955165,31038838,31246681,31394264,31603633,31614548,31644318,31804340,31813609,31985808,32178774,32248249,32324601,32536574,32606700,32712798,32767695,33031076,33159865,33162241,33337641,33788713,33957174,34095153,34199732,34780480,34917145,34952208,35318547,35379913,35578609,35581112,35740393,35836921,35855121,35861432,35984034,36084918,36510932,37146198,37161673,37322854,37375969,37723174,38165208,38236561,38333089,38488441,38503892,38817500,38924774,38937158,38980388,39128040,39231841,39287590,39321234,39488161,39791838,40028751,40332153,40344111,40557649,40568761,40646641,41041213,41467640,41472998,41736576,41900574,41943188,41977438,42177145,42179398,42212929,42421921,42889030,42935859,43185565,43277961,43522041,43549273,43661492,43720118,44019045,44186036,44196361,44275081,44766265,44942929,44986321,45163640,45176701,45186889,45287774,45339865,45516889,46055965,46383902,46418614,46434153,46480820,46506361,46581000,46651095,46730518,46828201,46953648,47145108,47157321,47165569,47374630,47533993,47545558,47653275,47825918,48269590,48277753,48358281,48497041,48672841,48720493,48811028,48837153,48856760,49052665,49080356,49093478,49286713,49686400,49761168,49881481,50331565,50458232,50485033,50612574,50809095,50830160,51124921,51441841,51466836,51692241,51737161,51822678,52000054,52403625,52426561,52442691,52498081,52822854,52907542,53303065,53395693,53404321,53719518,53887028,54196368,54289645,54407838,54808628,54963855,55005560,55267158,55450641,55606820,55776984,55897200,55898744,55981314,56613801,56765511,56849556,57183930,57468255,57598381,57923508,57938174,57991681,58051801,58066630,58076665,58470409,58628112,58689956,58863198,58961374,58971121,59001601,59069713,59247140,59383353,59586694,59611165,59623680,59918840,59940692,60381278,60397878,60456158,60483742,60585145,60970914,60996192,61001965,61253401,61297501,61299472,61458313,61496792,61562761,61881255,62008873,62061601,62373560,62431775,62749107,62884350,62886087,63191833,63206209,63357145,63598592,63963678,64183454,64211252,64323565,64391581,64696820,65053353,65147574,65150774,65331601,65335352,65893652,65956626,66006672,66387865,66426733,66686516,66728184,66745213,66778129,66897430,67076640,67211065,67408695,67468513,67623668,67728673,67948401,68066761,68074369,68077779,68276641,68310776,68322740,68596054,68620716,68827069,68961906,69183891,69464761,69492153,69532630,69535645,69679956,69691998,69692689,69730040,69745814,69950895,70133540,70160833,70170255,70180628,70316641,70409590,70454713,70860001,71096568,71533398,71548416,71577145,71705012,71839993,71884148,71902608,71954641,71986551,72113961,72526765,72601993,72702174,72764553,72834601,72922729,73202358,73319641,73339165,73502271,73609645,73844553,73910230,73987892,74232998,74257506,74534449,74556241,74561401,74614288,74848272,74918130,75069207,75461220,75620222,75822241,75915421,76028574,76299193,76414521,76608493,76627281,76787161,76849623,76989332,77005933,77052153,77188278,77430001,77636184,77839412,77930278,77946013,78009193,78298040,78446295,78727412,78749041,78909181,79176541,79252765,79356409,79469713,79583241,79665438,79912672,79925881,79983639,80053165,80099281,80116774,80276916,80442142,80491968,80579833,80638921,80653278,80890434,80985145,81044975,81295262,81668721,81741601,81987288,82004413,82086452,82273513,82361775,82502036,82670648,82768820,83002772,83059064,83274875,83401478,83439156,83442774,83612029,83676048,83941074,84043633,84158569,84160248,84204306,84288183,84414814,84491508,84613081,84644521,84730148,84735841,84918409,85196713,85629560,85644961,85646878,85698275,85774881,85796413,85835828,85892574,85977921,86350141,86365940,86384209,86392801,86504847,86618641,86758774,87032118,87282361,87340707,87585145,87797590,87852560,88006998,88085295,88194121,88331574,88659430,88692276,88784774,88797801,88959518,89123174,89188250,89396553,89588113,89794641,89901756,90266881,90341638,90356461,90361942,90553464,90563732,90763009,90786081,91005313,91137878,91193432,91714969,91715318,91730360,91785313,91800841,92235699,92404765,92793145,93004479,93314641,93376311,93441447,93728001,93840349,93922401,93957648,94020289,94135554,94310553,94407433,94651561,94680279,94942328,95087569,95103318,95653078,96063798,96135901,96333255,96383590,96605240,97182174,97238230,97253970,97255729,97297645,97329428,97336561,97499281,98405113,98431988,98761729,98834130,98928073,98938633,99089553,99321464,99322584,99862868,99929850,...,16614726922839179602137411215293977463555765007235048477076642313379463622877553994205895411879944171145035299367493814118849733743587535261116265856959591513587205589525848517298006896103436342111378688562592939272188529336588714482135073950782614122124534864234384129016454793810435564654621658019178061945468852280405141673210701938745613506863479150376305529450512345662314789694260376574787749445565987492311341711542634884544256387187302820802852928092917519719692585178400546768842820349330157879571229569827237468004192070031025794927576513438763125558258321099403936253646361229522956643690254910329083600065991661041391015923516877265564477384640627974152539901778964728852142928809065554505321363706126819904908515118750606306505365774665922311323636014271560136709035545575859201158120534686526087573380397324877590951578719165356012339292170405433733858706969977229083863931186384319949313176471093451379274044035431582858061165969154732253676317006545197535756261219210518775792429281679012869759913142152810601250185003579701397020088932090907542278526210211603685156599181597740807989748696410779844817609036515079025531197489734637461642271855320752305472782150009909071295455313612022283761366445653307188290713117674339783580940810648069859178003685145967808795729814345248735022390417782099512894582303151909841622229447943171019548530243848627845704702357763674789150076807238295957181701860674027039966287598375328157927299205747845576805881487552425776671547160737588387099942536989653694391927785984716680710394571080195418328016030570123999351729333518698797832099722451195338902696320691290974638002707153269050350310320838770044447664017905180640311062882302396635527841913186586465768371961777137857076569625234844400265277367829919880258472226187347504723514203255792968432978913626691806322777805485928872683724961976544197941814319276303314055818484332853794235027610576522921710845074588719276155424874198821428899796203526573024559927627941055193913205533329435872455706150684150021389212761847433291479084520696657328174939328731873534962170238353669448467647479439865921533993219223025632819365629841666403135251748474774916453004604479954868374403505607696748258263628775598787579614616542926109038246499285680205727149434443428600514097924432296281429034169526799871334802698315061648550284821509659611952626310975957840872912074109279977157383389889329054071187392230497366830175471086333276921541956089381234453187334697654315202458454}
15552  3109113439962644186825076389628595901061221811453555801375850222: {170951,435148,621640,635951,699345,714242,745968,839214,914087,1222367,1560551,1642682,1683287,1744607,2142407,2295628,2325551,2360104,2567522,2655117,2751767,2752058,2933951,2964287,3304802,3418367,3569327,3659807,3959385,4021007,4223162,4223344,4291151,4321127,4470887,4589498,4739951,4751262,5137922,5320442,5365247,5454287,5636301,5750567,5867138,5994988,6370151,6517151,6569032,6731404,6956951,7064785,7219967,7390161,7394951,7511447,7680098,7831151,8040962,8369053,8477742,8525327,8581178,8985551,9036232,9157607,9657722,9665548,9775144,9842951,10013567,10092550,10097661,10155527,10165761,10410551,10523687,10925385,10946807,10997037,11368127,11424167,11653744,11795258,11954951,11955790,12021025,12094151,12111060,12149498,12205367,12217804,12344207,12538247,12679778,12725032,12918464,12952727,13110462,13215784,13384802,13447727,13560698,14032204,14087522,14315661,14346948,14425230,14429951,14533272,14673887,14755948,14809127,14867757,14998127,15213647,15386912,15401807,15743665,15776951,15937247,16283567,16349931,16478745,16560268,16575551,16734407,16798413,16920268,17079700,17310276,17577328,17602967,17629151,17739002,17864447,17911298,17994887,18540551,18566447,18715948,18892398,19248945,19455482,19626338,19774494,19800047,19927487,20059432,20147308,20308322,20495640,20532208,20713151,20839151,20967441,21217804,21276232,21303044,21326978,21366167,21615887,21740447,21862016,22490950,22557527,22566861,22582151,23057595,23098734,23170727,23188945,23322985,23396145,23463287,23516282,23803151,23827367,23850938,23935761,24189647,24190024,24351842,24594768,24622007,24765551,24767404,24955888,25027967,25050265,25123151,25478951,25485985,25597151,25620767,25846778,25981761,26325527,26672258,26989140,27092447,27165818,27213777,27438167,27469981,27553007,27586348,27669114,27713447,27819304,27826734,27987582,28055927,28075374,28124207,28373951,28543432,28600151,28712951,28788416,28848047,29266984,29338828,29451962,29519207,29608151,29807807,29852087,29938178,30060318,30286545,30402887,30432920,30583182,30599951,30745658,30839927,31009497,31133473,31296717,31360151,31378753,31434184,31446407,31489487,31870082,32111361,32195687,32305648,32386968,32661647,32674737,32876104,32925357,33081887,33144647,33165551,33318550,33394557,33457367,33464162,33602687,33836104,33939578,34015727,34237035,34282487,34323407,34555432,34690247,34811951,34993967,35014151,35043842,35201018,35235647,35363457,35596007,35659789,35932588,36239181,36284185,36343854,36408550,36435339,36519504,36640945,36964204,36985617,37069607,37075898,37231202,37270285,37301207,37358927,37646447,37707241,37760951,38045951,38065617,38121647,38143432,38234951,38404367,38519385,38778527,38874861,38930042,39242830,39361228,39518185,39608687,39755425,39790967,39982260,39990551,40171151,40422647,40440551,40547807,40758375,41084442,41087344,41220407,41237951,41288845,41604527,41974202,42124898,42192424,42275951,42530951,42647744,42749665,42784151,42868151,42884927,42905032,42911361,42968687,43099468,43135607,43384487,43474682,43475600,43541022,43617064,43690260,43969134,44006927,44150953,44168807,44219522,44410127,44450188,44476390,44724342,44824151,44826790,44918927,45060551,45076247,45108578,45154607,45276232,45460204,45551162,45589727,45638665,45682151,46215551,46223262,46230647,46285922,46558257,46575647,46602944,47091396,47165567,47308538,47340047,47383487,47421822,47466477,47599418,47685551,47706510,47806828,47899151,47969951,47978712,48054647,48113224,48129865,48195167,48268161,48521875,48653207,48725485,48804861,48910050,48911401,49007951,49069197,49188962,49210151,49528264,49546614,49609151,49622327,49688087,50052647,50398247,50650487,50688047,50775407,50886944,50935761,50948951,51133151,51186818,51299598,51603647,51686807,51834550,51893498,51968951,52131407,52170720,52428312,52428985,52485551,52596578,52721087,52876151,52887167,52975007,53040551,53055784,53299847,53371668,53406527,53574842,53586047,53637038,53776204,53792148,53809693,53876687,53976051,53989151,54127377,54130682,54231167,54241151,54380087,54576865,54766398,54787487,54822242,54882407,54910727,55013951,55051247,55208327,55232545,55647362,55648768,55719297,55830767,55867432,55950551,55984281,56026727,56057978,56127287,56160551,56194562,56324951,56357447,56454550,56467298,56494127,56584761,56612807,56958047,57032567,57091607,57146618,57168433,57247812,57565967,57586367,57620207,57626951,57687482,57700607,57703948,57727151,57755838,57760151,57766727,57991847,58016951,58029388,58072967,58101025,58195127,58201151,58226250,58319951,58387161,58405737,58412687,58441247,58470582,58514567,58692060,58705247,58931385,58965551,58970447,58981851,59029562,59038151,59127527,59218487,59284607,59288951,59314847,59378327,59495951,59562362,59576927,59632607,59647151,59668727,59687757,59717951,59771929,59818151,59884007,59923007,60021287,60037151,60047567,60223127,60248087,60259151,60268151,60269927,60360551,60365687,60389447,60410951,60419087,60431207,60436247,60454727,60455567,60460247,60463367,60465887,61013785,61070950,61146938,61350445,61670522,61912204,62108000,62201460,62209497,62604864,62850861,62860144,62876428,62914782,62966157,63072790,63098498,63269097,63537700,63613442,63812254,63998138,64126082,64333545,64477708,65116204,65287502,65492238,65580177,66153602,66279054,66279098,66348224,67153538,67358785,67483432,67526138,67745460,67931661,68020922,68155334,68510785,68513402,68622448,68698201,68756950,68922988,69096904,69362161,69508525,69575853,69627921,69721230,69871500,69873430,69923588,69977018,70095777,70218938,70430472,70717662,71061945,71318337,71626024,71738877,72133562,72261824,72336817,72404385,72543784,72606458,72676681,72959618,73216542,73285140,73311482,73362445,73428482,73545338,73620534,73640217,73689544,73934188,74058925,74127458,74369312,74529600,74641752,74898550,74925865,75485068,75509858,75687348,75738242,75799408,75918861,75950797,76245240,76624340,76870990,77200254,77231344,77734017,77879162,77966950,78000081,78170816,78484264,79094882,79177804,79234281,79361313,79423418,79498240,79794253,80264065,80530504,80579277,80830542,80832098,80871025,81260642,81294552,81328256,81611757,81669190,81686882,82212942,82367065,82427258,82508340,82742402,82900737,83074537,83358145,83410230,83472698,83665476,83845800,83848116,83971971,84529585,85013858,85274334,85284904,85388470,85403425,85721978,85775895,86323322,86423042,86737804,86863432,86885262,86906281,86907261,87099945,87162550,87666925,87725785,87942168,87998978,88008896,88034934,88038457,88294797,88442061,88676858,88773122,88870710,88970912,89380041,89435520,89631265,89812921,89822522,89855185,89878260,89911038,90105698,90571917,90596817,90597868,90684237,90725613,90770372,91132922,91317818,91456371,91494288,91949208,92245188,92415098,92484865,92656204,92906608,92922664,93267860,93560340,93580418,93903073,94285442,94326525,94460258,94721402,94795424,95105089,95377864,95397888,95753018,95870144,95945517,95982068,96151948,96236665,96275181,96316878,96345218,96596858,96936232,97019404,97045230,97261562,97299265,97603144,97721361,97726161,97754042,97872550,97998338,98003028,98409265,98459404,98747341,98840478,98883002,98934939,98962562,99010008,99200378,99294637,99358202,99750242,99797696,99890840,99893521,...,24922090384258769403206116822940966195333647510852572715614963470069195434316330991308843117819916256717552949051240721178274600615381302891674398785439387270380808384288772775947010344155154513167068032843889408908282794004883071723202610926173921183186802296351576193524682190715653346981932487028767092918203278420607712509816052908118420260295218725564458294175768518493472184541390564862181624168348981238467012567313952326816384580780954231204279392139376279579538877767600820153264230523995236819356844354740856202006288105046538692391364770158144688337387481649105904380469541844284434965535382365493625400098987491562086523885275315898346716076960941961228809852668447093278214393213598331757982045559190229857362772678125909459758048661998883466985454021407340205063553318363788801737180802029789131360070595987316386427368078748034018508938255608150600788060454965843625795896779576479923969764706640177068911066053147374287091748953732098380514475509817796303634391828815778163688643922518519304639869713229215901875277505369552095530133398136361313417789315317405527734898772396611211984623044616169767226413554772618538296796234601956192463407782981128458209173225014863606943182970418033425642049668479960782436069676511509675371411215972104788767005527718951713193594721517873102533585626673149269341873454727864762433344171914756529322795365772941768557053536645512183725115210857443935772552791011040559949431397562992236890948808621768365208822231328638665007320741106382580649913805484480541587891678977075021065591856620293127492024045855185999027594000278048196748149583676793008354044481036936461957004060729903575525465481258155066671496026857770960466594323453594953291762869779879698652557942665706785614854437852266600397916051744879820387708339281021257085271304883689452649468370440037709484166708228893309025587442964816296912721478914454971083727726499280691352541415864784382566267611883078914233137311298232143349694305289859536839891441911582790869808299994153808683559226026225032083819142771149937218626781044985992262408993097810302443255357530504172701471219159798882300989828834538449229048444762499604702877622712162374679506906719932302561605258411545122387395443163398181369421924814389163557369748928520308590724151665142900771146886648444422143551254290199807002204047472592472825427232264489417928939466463936761309368111163919965736075084833993581106781088345746050245263206629499915382312934134071851679781002046481472803687681}
15553  3122923761138667501564735678924441519630447059547311950077393099: {31102,543935,652722,777050,932460,994624,1071363,1118952,1258821,2065091,2464023,2624063,2869535,2950130,3443442,3540156,3695426,3851283,4128087,4440722,4957203,5279180,5289251,5747903,5847647,6334743,6335016,6778307,6884247,7126893,7493735,7515068,7706883,7906703,7980663,8211290,8414255,8553251,8662823,8800707,8992482,9466223,9853548,9896018,10097106,10197026,10894391,11134403,11295290,11303656,11325383,11520147,11563811,12061443,12069047,12081935,12129602,12218930,12716613,12871767,13184543,13463548,13476983,13554348,13928207,14486583,14498322,14567180,14660162,14662716,14678183,15138825,15272255,15380162,15878447,15906290,16019762,16148080,16519730,16519802,17480616,17492387,17540255,17552003,17692887,17876807,17933207,17933685,17965682,18166590,18224247,18326706,18444935,18616703,19019667,19087548,19129264,19233640,19377696,19473623,19495226,19665693,19689491,19823676,20077203,20271407,20341047,20700335,21048306,21131283,21150335,21166271,21349625,21444407,21520422,21597242,21637845,21799908,21836402,21971660,22098722,22133922,22397884,22662263,22807202,23080368,23394935,24341891,24366227,24617543,24840002,24840402,24975503,25074290,25184135,25189864,25380402,25446863,25458911,25564451,25608611,25619550,25665260,25965414,26059226,26365992,26522255,26595290,26608503,26628805,26866947,26871218,27327520,27504911,27829607,27956588,28073922,28074467,28267442,28338597,28552082,28586231,28598483,28766591,29183223,29236751,29439507,29606591,29661741,29812367,30089148,30220962,30236003,30237530,30253058,30462483,30583751,30743460,30798312,30959255,31194860,31363091,31396703,31826706,31914348,31954566,31990467,32091002,32583863,32585927,32709767,32793024,32955362,33374783,33375503,33736425,34007651,34305458,34482935,34642348,34648101,34690466,34774130,35233826,35274423,35583251,35679290,35745047,35776407,35951426,35985520,36139727,36285036,36527763,36546563,36583730,36673535,36892152,36918371,37102312,37151106,37316776,37433832,37541903,37577507,37819907,38041150,38111567,38164931,38351522,38374202,38573447,38642951,38770167,39199187,39292730,39616703,39724547,40008387,40080424,40382060,40483710,40748727,40777576,41095130,41345996,41379522,41503671,41711543,41713778,41728956,41740101,41981373,42047447,42099071,42113061,42295130,42598583,42815148,43063922,43182624,43194290,43337231,43396151,43400402,43566316,43602722,43900476,44008242,44133827,44177943,44491283,44526076,44907267,44915735,45088322,45090477,45188663,45522851,45649380,45869591,45874773,46118487,46205255,46208927,46364903,46423811,46945082,47096258,47135267,47151276,47501267,47650802,47679290,47805123,47931767,48318908,48458472,48580452,48617411,48692672,48884003,49201535,49205027,49314156,49888007,49914287,49977825,50196243,50451698,50491607,50754156,50801111,50824562,50909367,51359180,51833148,52080527,52228226,52232063,52565763,52740530,52801527,53132882,53309680,53402687,53631290,53792687,53794226,53874335,53898882,54344500,54515781,54521330,54536642,54612825,54701018,54779256,54858362,54962063,55002626,55058963,55141922,55446306,55511903,55562735,55613847,55741127,55846803,56123426,56480402,56556338,56595290,56825255,57215148,57280451,58051583,58054696,58253680,58325927,58395063,58625512,58738943,58864245,59041842,59048003,59590151,59632456,59687063,59758535,59973390,60044642,60141530,60459791,60491618,60638042,60794903,60982931,61159538,61626663,61631016,61910330,61958663,62077676,62493362,62502851,62672771,62788528,62961303,63187347,63207266,63229096,63288636,63475811,63608680,63627218,63897887,63971616,64287623,64357548,64478351,64496498,64649202,65073148,65212023,65213400,65311533,65425596,65535390,65953701,66019091,66062152,66285347,66319730,66324482,66329283,66675282,66714585,67086513,67220255,67240185,67318367,67577426,67662867,67914348,68190306,68326743,68399464,68535623,68673731,69334893,69428883,69560960,69693143,69834290,69904416,70025351,70169987,70464191,70637094,70759826,70962807,71007887,71132733,71157218,71162224,71399127,71480786,71559765,71673842,71710242,71722864,71854631,71968068,72129935,72169836,72184487,72390383,72536735,72611447,73021864,73365075,73783443,74275247,74292396,74319921,74323346,74343107,74597591,74624291,74645708,74698247,74751938,75384983,75446348,76005503,76309187,76330416,76473122,76666178,76780227,76949397,76976882,77007784,77390255,77609027,77635000,77751825,77840247,77849548,77874316,77960776,78256080,78463682,78509603,78575180,78589187,78595535,78642468,78894867,78919607,78976322,79083911,79422125,79583676,80057502,80362263,80451527,80455557,80597135,80664306,80688222,81115298,81137522,81196023,81293282,81307331,81395255,82082426,82149597,82233363,82316687,82364087,82935280,82945996,83455631,83471043,83473152,83801148,83886376,83954876,84006563,84086967,84291843,84354290,84358796,84425858,84681825,84700947,84746927,84819203,84843842,84846647,85037303,85402751,85719927,85778060,85807607,85871718,86153735,86181407,86371130,86531223,86555922,86633757,87044082,87075071,87098546,87322984,87339375,87404485,87440236,87610727,87705873,88038090,88086167,88372072,88392722,88544343,88550162,88700003,88817567,88819091,88913807,89220431,89343543,89532530,89608103,89885858,89972642,90052991,90104471,90327280,90353402,90373778,90562343,90575548,90679730,90748463,90774851,91033778,91508183,91606425,91651991,91713407,91720407,92111930,92417735,92505783,92767804,92837228,92868306,92943011,92961640,93012722,93162000,93302190,93461036,93531107,93656402,93700247,93784847,93907296,94095491,94290216,94314642,94331138,94356335,94372173,94609185,94647747,94749260,94823951,94841471,95067986,95091116,95099951,95109347,95300543,95306550,95420163,95651836,95718381,95780425,95997207,96189123,96539180,96555506,96716562,96994082,97345682,97349903,97440986,97622056,97674306,97713520,97931253,98105330,98160712,98186956,98238357,98417927,98573426,98972255,99230403,99372800,99418581,99418647,99460127,99522336,99725987,99762962,99995327,...,33229453845678359204274822430587954927111530014470096954153284626758927245755107988411790823759888342290070598734987628237699467487175070522232531713919183027174411179051697034596013792206872684222757377125185878544377058673177428964270147901565228244249069728468768258032909587620871129309243316038356123890937704560810283346421403877491227013726958300752611058901024691324629579388520753149575498891131974984622683423085269769088512774374605641605705856185835039439385170356801093537685640698660315759142459139654474936008384140062051589855153026877526251116516642198807872507292722459045913287380509820658167200131983322082782031847033754531128954769281255948305079803557929457704285857618131109010642727412253639809817030237501212613010731549331844622647272028543120273418071091151718402316241069373052175146760794649755181903157438330712024678584340810867467717413939954458167727862372768639898626352942186902758548088070863165716122331938309464507352634013090395071512522438421037551584858563358025739519826284305621202500370007159402794040177864181815084557052420423207370313198363195481615979497392821559689635218073030158051062394979469274923284543710641504610945564300019818142590910627224044567522732891306614376581426235348679567161881621296139718356007370291935617591459628690497470044780835564199025789164606303819683244458895886342039097060487697255691409404715527349578300153614476591914363403721348054079932575196750656315854598411495691153611762975104851553343094321475176774199885073979307388783855571969433361420789142160390836656032061140247998703458667037397595664199444902390677805392641382581949276005414306538100700620641677540088895328035810361280622125764604793271055683826373172931536743923554275714153139250469688800530554735659839760516944452374695009447028406511585936865957827253383612645555610971857745367449923953088395883628638552606628111636968665707588470055221153045843421690149177438552310849748397642857799592407053146049119855255882110387826411066658871744911412301368300042778425523694866582958169041393314656349878657463747069924340476707338896935294958879731843067986438446051265638731259683332806270503496949549832906009208959909736748807011215393496516527257551197575159229233085852218076492998571360411454298868886857201028195848864592562858068339053599742669605396630123297100569643019319223905252621951915681745824148218559954314766779778658108142374784460994733660350942172666553843083912178762468906374669395308630404916908}
15554  3136794941547684556531060792326568056580642334741829716501558065: {46653,202033,341902,666973,870296,945073,979083,1165575,1243280,1271902,1398690,1428484,1491936,1591453,1678428,1828174,1959229,2444734,2508733,2782513,2964673,3121102,3285364,3366574,3418813,3489214,3690433,4231729,4284814,4321693,4425195,4591256,4651102,4720208,4770433,5128129,5135044,5165163,5310234,5503534,5504116,5543139,5573629,5867902,5928574,6547393,6598975,6609604,6661083,6836734,6987133,7138654,7319614,7861213,7918770,8042014,8122033,8446324,8446688,8555293,8582302,8642254,8941774,9072829,9178996,9393835,9416413,9479902,9502524,9890699,10275844,10640884,10730494,10779229,10863793,10908574,11201329,11272602,11501134,11621629,11734276,11989976,12123613,12316935,12740302,13034302,13138064,13462808,13488723,13913902,14129570,14431933,14439934,14513329,14780322,14789902,14838193,14844027,15022894,15145659,15242653,15295539,15360196,15662302,15805873,16081924,16126129,16206013,16604353,16738106,16829435,16942935,16955484,17050654,17162356,17395633,17631613,17971102,18072464,18194403,18208975,18315214,18328395,18569053,19315444,19331096,19550288,19572913,19685902,20027134,20185100,20195322,20311054,20331522,20412829,20716093,20821102,20867293,21047374,21618973,21747483,21850770,21893614,21990243,21994074,22041131,22585393,22736254,22848334,23070243,23307488,23590516,23830813,23859435,23909902,23911580,24029643,24042050,24120829,24188302,24222120,24298996,24410734,24435608,24688414,24779595,24779703,25076494,25126813,25359556,25450064,25482673,25553629,25624513,25836928,25905454,26220924,26431568,26769604,26895454,26948523,26957629,27121396,27249885,27304129,27464575,27490059,27997355,28064408,28175044,28400833,28631322,28672129,28693896,28739773,28850460,28859902,29066544,29242839,29347774,29511896,29618254,29735514,29996254,30341629,30427294,30773824,30803614,31256893,31321729,31386493,31487330,31553902,31572459,31874494,32081575,32280633,32395863,32464523,32567134,32652179,32699862,32754603,32856193,32957490,33120536,33148083,33151102,33170653,33200883,33468814,33596826,33840536,34159400,34164829,34210803,34620552,34837633,34945735,35019613,35070371,35154656,35205934,35258302,35478004,35621533,35680379,35681329,35728894,35822596,35989774,36038593,36216253,36275329,36862129,37081102,37132894,37210753,37260003,37260603,37384093,37431896,37611435,37671553,37784796,38014129,38070603,38297629,38429325,38497890,38803393,38910964,38948121,38993575,39088839,39192733,39252676,39358513,39548988,39600094,39854974,39892935,40015153,40118864,40294616,40306827,40447153,40554433,40616644,40821373,40991280,41064416,41244733,41426302,41678302,41819329,41934882,42110883,42143387,42282973,42334129,42401163,42435608,42552464,42588829,42606088,42653956,42732334,42828123,42892093,43142833,43231774,43292413,43302935,43480894,43724032,43786333,44079229,44127793,44563103,44847613,44981900,45083953,45115054,45133722,45164302,45271729,45331443,45356295,45379587,45965629,46115190,46197468,46238653,46341454,46377890,46419229,46598653,46643329,46645970,46792290,46926574,47032564,47042173,47606302,47654734,47693953,47701876,47740059,47871522,47931849,47992573,48136503,48371329,48379294,48380048,48703684,48785329,49189536,49232413,49244014,49352833,49433043,49531102,49534808,49631293,49788829,49911776,50055934,50100530,50139073,50177629,50246302,50369329,50477575,50709853,50784733,50797859,50957902,50971970,51154813,51194302,51241534,51297323,51458187,51517693,51625153,51682495,51693556,51802813,51963522,52035699,52161195,52178399,52221853,52529329,52651054,52697629,52850739,52897213,53191729,53320753,53344516,53518935,53825329,53927139,53978280,54009793,54184894,54251713,54331636,54427554,54457895,54875595,54876334,54893233,54939962,55034173,55106014,55172696,55325459,55338228,55426894,55638608,55653468,55657595,55659313,55726659,55842013,55944829,55970353,55975164,56096893,56111854,56150748,56248414,56320129,56344573,56655793,56747902,56795329,57044413,57061725,57086864,57154753,57200302,57348829,57425902,57474973,57527283,57561303,57576832,57639133,57696094,57739393,57778993,57804383,57837853,57876733,58029373,58048129,58213693,58231729,58493629,58510513,58533968,58577329,58642993,58659229,58677656,58723453,58903924,58939095,58968829,58983553,59038414,59216302,59236273,59302333,59391793,59513473,59571613,59605633,59615614,59704174,59724829,59849531,59863933,59876356,59919229,60120636,60121729,60190129,60196573,60273793,60284593,60334273,60398635,60424129,60435073,60447133,60451453,60457393,60472513,60473629,60573090,60725565,60805774,60865840,61166364,61199902,61491316,61642695,61679854,62018994,62069283,62266946,62570667,62593434,62720302,62757506,62868368,62892814,62978974,63442695,63740164,63894131,64198975,64222722,64391374,64595883,64611296,64773936,64791435,65100603,65323294,65349474,65404083,65752208,65850714,66012363,66163774,66289294,66331102,66637100,66789114,66914734,66928324,67205374,67381811,67632483,67672208,67879156,67930625,68031454,68215679,68474070,68564974,68646814,69110864,69380494,69623902,69987934,70028302,70087684,70402036,70417623,70471294,70644387,70726914,71192014,71319578,71476203,71518935,71865176,72478362,72568370,72687708,72817100,72870678,73039008,73281890,73400579,73928408,73971234,74139214,74151796,74462404,74540570,74602414,74717854,75292894,75414482,75521902,75677547,76091902,76131234,76236843,76243294,76286864,76407611,76469902,76808734,77038770,77325563,77557054,77597095,77749722,77860084,78342339,78485660,78722456,79036370,79110795,79217374,79510850,79581934,79699323,79964520,79981102,80342302,80446935,80691339,80845294,80848323,80881102,81095614,81188783,81341435,81516750,81781995,81804963,81973463,82051527,82168884,82174688,82287543,82440814,82475902,82503939,82577690,82712883,83169459,83209054,83948404,84040231,84185139,84249796,84384848,84551902,84720603,84834507,84892935,85061902,85295488,85419299,85499330,85568302,85736302,85769854,85810064,85822722,85890623,85937374,86198936,86271214,86768974,86949364,86951200,87082044,87234128,87380520,87938268,88013854,88301906,88337614,88439044,88562763,88820254,88900376,88952780,89448684,89648302,89653580,89837854,89960085,90066963,90121102,90152494,90177043,90212295,90217156,90309214,90552464,90737427,90920408,90957063,91102324,91179454,91277330,91364302,91739307,92431102,92446524,92461294,92571844,92865495,93116514,93151294,93205888,93307135,93740043,94182792,94302299,94307935,94331134,94617076,94680094,94766974,94810899,94843644,94932954,95198836,95371102,95413020,95440827,95613656,95798302,95915099,95939902,95957424,96109294,96226448,96259730,96390334,96536322,96744747,96973803,97043750,97306414,97311935,97342895,97450970,97609722,97820100,97822802,98015902,98138394,98218975,98303085,98377924,98420302,99056528,99093228,99218302,99244654,99376174,99479595,99486723,...,49844180768517538806412233645881932390667295021705145431229926940138390868632661982617686235639832513435105898102481442356549201230762605783348797570878774540761616768577545551894020688310309026334136065687778817816565588009766143446405221852347842366373604592703152387049364381431306693963864974057534185836406556841215425019632105816236840520590437451128916588351537036986944369082781129724363248336697962476934025134627904653632769161561908462408558784278752559159077755535201640306528461047990473638713688709481712404012576210093077384782729540316289376674774963298211808760939083688568869931070764730987250800197974983124173047770550631796693432153921883922457619705336894186556428786427196663515964091118380459714725545356251818919516097323997766933970908042814680410127106636727577603474361604059578262720141191974632772854736157496068037017876511216301201576120909931687251591793559152959847939529413280354137822132106294748574183497907464196761028951019635592607268783657631556327377287845037038609279739426458431803750555010739104191060266796272722626835578630634811055469797544793222423969246089232339534452827109545237076593592469203912384926815565962256916418346450029727213886365940836066851284099336959921564872139353023019350742822431944209577534011055437903426387189443035746205067171253346298538683746909455729524866688343829513058645590731545883537114107073291024367450230421714887871545105582022081119898862795125984473781897617243536730417644462657277330014641482212765161299827610968961083175783357954150042131183713240586254984048091710371998055188000556096393496299167353586016708088962073872923914008121459807151050930962516310133342992053715541920933188646907189906583525739559759397305115885331413571229708875704533200795832103489759640775416678562042514170542609767378905298936740880075418968333416457786618051174885929632593825442957828909942167455452998561382705082831729568765132535223766157828466274622596464286699388610579719073679782883823165581739616599988307617367118452052450064167638285542299874437253562089971984524817986195620604886510715061008345402942438319597764601979657669076898458096889524999209405755245424324749359013813439864605123210516823090244774790886326796362738843849628778327114739497857040617181448303330285801542293773296888844287102508580399614004408094945184945650854464528978835857878932927873522618736222327839931472150169667987162213562176691492100490526413258999830764625868268143703359562004092962945607375362}
15555  3150727247262740783104595741769435919238119091114995819119735100: {62204,512853,761509,1087870,1305444,1554100,1785605,1864920,1907853,1989248,2098035,2142726,2237904,2517642,2742261,2903549,3667101,4017349,4106705,4130182,4681653,4928046,5049861,5233821,5248126,5739070,5900260,6250933,6418805,6427221,6880145,6886884,6976653,7080312,7390852,7702566,7965351,8011949,8255301,8256174,8262005,8801853,8881444,8892861,9914406,10255101,10491229,10557905,10558360,10578502,10707981,10801409,10979421,11473745,11495806,11695294,11779957,11878155,12063021,12084413,12657781,12669486,12670032,12844805,12873453,12963381,13032977,13301105,13412661,13556614,13768494,14115893,14219853,14253786,14667845,14888773,14987470,15030136,15413766,15813406,15961326,16095741,16362861,16422580,16828510,16908903,16914709,17106502,17157173,17251701,17325646,17601414,17984964,18668669,18932446,19110453,19200245,19551453,19707096,19792036,20102405,20194212,20394052,20672821,20870853,20996861,21194355,21381157,21452945,21659901,21788782,22170483,22184853,22210133,22268806,22534341,22590580,22607312,22650766,23040294,23127622,23493453,23782001,24122886,24138094,24144305,24163870,24259204,24437860,24556357,25107159,25231375,25247813,25433226,25575981,25743534,25822909,26010113,26369086,26464037,26927096,26953966,26956653,27108696,27472821,27856414,28247549,28454077,28973166,28980469,28996644,29134360,29320324,29325432,29356366,29488145,29528853,29610469,29804909,29889475,30040701,30212533,30277650,30292983,30373745,30466581,30497283,30544510,30760324,31231653,31571061,31611821,31699445,31756894,31812580,31949317,32039524,32296160,32752909,32776155,32840421,32991111,33039460,33039604,33462005,33596753,33901745,34104381,34153349,34272501,34961232,34965613,34984774,35080510,35104006,35218805,35257789,35385774,35753614,35864853,35866414,35867370,35868929,35931364,36063075,36144433,36282453,36333180,36448494,36616101,36653412,36889870,37032621,37131157,37171301,37233406,37280327,37614741,38039334,38175096,38258528,38303029,38467280,38510641,38755392,38858181,38947246,38990452,39331386,39378982,39647352,40154406,40343181,40527973,40542814,40682094,41400670,42052933,42096612,42262566,42300670,42332542,42699250,42888814,42946983,43040844,43194484,43216349,43275690,43289853,43342957,43599816,43672804,43943320,44021661,44197444,44267844,44347505,44409781,44427381,44603271,44778245,44795768,44954573,44994381,45128197,45324526,45586801,45614404,45640941,46160736,46205421,46388989,46403213,46737437,46789870,47177933,47230995,47330853,47610181,47811741,48276109,48290261,48463021,48638705,48683782,48732454,48850701,49049793,49065845,49235086,49436235,49680004,49680804,49726653,49951006,50148580,50203221,50368270,50379728,50395239,50508401,50760804,50770805,50893726,50917822,51128902,51217222,51239100,51330520,51342949,51930828,52112093,52118452,52717541,52731984,52808901,52887453,53044510,53096549,53190580,53217006,53257610,53317445,53593341,53733894,53742436,53799733,53984661,54655040,55009822,55621653,55659214,55699341,55913176,56137861,56147844,56148934,56227375,56534884,56677194,57104164,57172462,57196966,57533182,57746835,58366446,58473502,58790705,58879014,59213182,59323482,59400141,59624734,59627345,59782461,60178296,60441924,60472006,60475060,60506116,60879605,60924966,61113461,61167502,61486920,61596624,61918510,62139453,62159837,62389720,62517453,62726182,62793406,62882029,62902323,63050149,63653412,63825233,63828696,63873293,63909132,63980934,64098501,64182004,64616945,64687357,64847661,64881181,65167726,65171854,65221341,65229629,65419534,65586048,65910724,66444017,66600757,66680645,66749566,66751006,67472850,67672581,67700583,67746453,67914545,68015302,68610916,68882149,68930641,68965870,69172785,69284696,69296202,69380932,69512181,69548260,69566835,69825137,69968955,70188435,70389861,70467652,70548846,71166502,71352833,71358580,71409453,71482101,71490094,71552814,71807283,71902852,71961013,71971040,72279454,72322309,72568941,72570072,72703121,73055526,73093126,73167460,73347070,73587173,73629905,73784304,73836742,73866021,74204624,74296653,74302212,74383637,74633552,74845445,74867664,75083806,75083901,75150795,75155014,75369453,75424069,75477461,75639814,76082300,76223134,76329862,76436853,76457955,76485893,76703044,76748404,76791453,76862301,76864145,77146894,77285902,77450549,77451629,77540334,77619133,77696933,77787829,77945283,78398374,78585460,78976581,79233406,79449094,79555357,79675205,80016774,80160848,80308117,80505149,80764120,80967420,81277341,81301253,81497454,81555152,81641331,81987341,82190260,82314501,82409943,82441553,82622093,82659021,82691992,82757233,82759044,83007342,83140341,83296375,83423086,83427556,83457912,83480202,83660405,83661949,83962746,84094894,84167781,84198142,84226122,84372621,84590260,84848945,85121853,85197166,85630296,85800453,86127844,86138853,86365248,86372609,86388580,86544141,86674462,86792302,86800804,87132632,87205444,87574577,87609605,87800952,88002545,88016484,88267654,88355886,88557621,88824453,88982566,89052152,89232049,89423421,89556261,89814534,89831470,90176644,90180954,90377326,90758093,90859635,91021375,91045702,91208661,91298760,91725373,91739182,91749546,91799853,91884421,92236974,92362181,92410510,92417854,92519781,92689745,92729806,92847622,93028491,93078005,93400419,93890151,93890164,94080453,94108357,94136259,94192516,94270534,94302552,94339221,94432181,94468461,94676189,95002534,95301604,95358580,95610246,95863534,96334083,96577349,96587061,96637816,96701653,96916944,97160904,97234822,97319197,97325105,97385344,97525373,97768006,97984941,98024211,98107075,98403070,98410054,98628312,98776071,99245661,99433941,99496653,99738973,99776014,99828574,99955650,...,74766271152776308209618350468822898586000942532557718146844890410207586302948992973926529353459748770152658847153722163534823801846143908675023196356318161811142425152866318327841031032465463539501204098531668226724848382014649215169607832778521763549560406889054728580574046572146960040945797461086301278754609835261823137529448158724355260780885656176693374882527305555480416553624171694586544872505046943715401037701941856980449153742342862693612838176418128838738616633302802460459792691571985710458070533064222568606018864315139616077174094310474434065012162444947317713141408625532853304896606147096480876200296962474686259571655825947695040148230882825883686429558005341279834643179640794995273946136677570689572088318034377728379274145985996650400956362064222020615190659955091366405211542406089367394080211787961949159282104236244102055526814766824451802364181364897530877387690338729439771909294119920531206733198159442122861275246861196295141543426529453388910903175486447334491065931767555557913919609139687647705625832516108656286590400194409083940253367945952216583204696317189833635953869133848509301679240664317855614890388703805868577390223348943385374627519675044590820829548911254100276926149005439882347308209029534529026114233647916314366301016583156855139580784164553619307600756880019447808025620364183594287300032515744269587968386097318825305671160609936536551175345632572331807317658373033121679848294192688976710672846425865305095626466693985915995021962223319147741949741416453441624763675036931225063196775569860879382476072137565557997082782000834144590244448751030379025062133443110809385871012182189710726576396443774465200014488080573312881399782970360784859875288609339639095957673827997120356844563313556799801193748155234639461163125017843063771255813914651068357948405111320113128452500124686679927076762328894448890738164436743364913251183179497842074057624247594353147698802835649236742699411933894696430049082915869578610519674325734748372609424899982461426050677678078675096251457428313449811655880343134957976787226979293430907329766072591512518104413657479396646902969486503615347687145334287498814108632868136487124038520720159796907684815775234635367162186329490194544108265774443167490672109246785560925772172454995428702313440659945333266430653762870599421006612142417777418476281696793468253786818399391810283928104333491759897208225254501980743320343265037238150735789619888499746146938802402215555039343006139444418411063043}
15556  3164720945510928354999761541612399681812683844206366909540349219: {77755,93306,404066,450283,683804,914323,1284259,1333946,1376563,1631805,1740592,1745059,1890146,1942625,1958166,2331150,2486560,2543804,2661259,2752483,2797380,2856968,2983872,3025723,3182906,3214089,3356856,3479683,3656348,3776463,3918458,3931843,4112203,4472059,4889468,5017466,5565026,5811259,5929346,6195273,6242204,6342403,6570728,6733148,6783043,6837626,6978428,7221883,7375325,7380866,7392069,7571659,7872189,8463458,8569628,8608605,8643386,8786803,8850390,8959243,9182512,9217363,9238565,9302204,9440416,9540866,9817123,10073083,10256258,10270088,10330326,10620468,11006059,11007068,11008232,11086278,11101805,11147258,11427259,11553849,11735804,11762923,11857148,11930323,12347563,12384261,12597043,13011403,13094786,13151369,13197950,13219208,13322166,13588483,13673468,13974266,14277308,14639228,14732059,14813203,14871609,15722426,15837540,15867753,16021723,16084028,16244066,16892648,16893376,17056003,17110586,17164604,17243709,17284508,17542941,17607883,17883548,18145658,18357992,18623443,18787670,18832826,18959804,19004229,19005048,19781398,20334921,20528225,20551688,20652741,21071443,21281768,21372259,21380679,21460988,21558458,21727586,21817148,21821323,22402658,22481205,22545204,23002268,23120649,23243258,23468552,23518723,23561209,23720109,23941989,23979952,24247226,24633870,24740045,25242765,25320523,25480604,25492565,25659753,25675483,25988469,26028643,26068604,26276128,26402121,26868883,26925616,26977446,27146659,27827804,27904603,28109803,28238225,28246243,28259140,28398669,28863866,28879868,29026658,29560644,29579804,29676386,29688054,29861059,30045788,30291318,30324005,30455923,30485306,30547325,30591078,30720392,30914563,31324604,31499059,31611746,32077723,32163848,32252258,32412026,32683173,33154843,33208706,33403209,33476212,33658870,33885870,33910968,33976149,34026259,34101308,34272643,34324712,34334059,34560441,34691433,34791266,35263226,35942204,36143059,36144928,36184329,36207141,36245805,36388806,36417950,36630428,36650405,36656790,36673123,36731659,36790123,37138106,38149839,38450405,38454259,38615301,38630888,38662192,38791003,39100576,39145826,39196297,39371804,39553629,39621523,39765725,40049405,40054268,40370200,40390644,40430949,40622108,40663044,40703683,40825658,40969723,41299325,41299505,41391643,41432186,41444059,41642204,41734586,41757043,41784621,42094748,43167113,43183363,43233259,43237946,43459749,43494966,43531123,43701540,43787228,43980486,43988148,44034549,44082262,44409163,44505283,44914205,45170786,45416475,45472508,45636259,45696668,45816765,46140486,46276843,46614976,46770259,47181032,47211259,47385643,47635341,47661626,47718870,47819804,47823160,48059286,48084100,48241658,48282259,48376604,48444240,48597992,48738065,48821468,48871216,48924029,49066123,49309469,49376828,49508059,49559190,49559406,49805821,50152988,50253626,50289259,50719112,50856259,50900128,50965346,51041659,51107258,51249026,51673856,51729763,51810908,52150963,52441848,52460059,52477161,52595563,52620765,52656009,52863136,53078661,53320243,53539208,53630421,53790908,53799621,53801055,53897046,53915258,53993105,54242792,54341923,54371659,54401323,54499770,54519259,54591005,54608258,54672741,54780403,54809059,54922963,54929150,54980118,55202683,55246805,55334805,55394203,55850109,55994710,56049403,56128816,56249563,56350088,56612443,56636059,56801666,56845363,56891083,57018005,57059001,57071083,57262644,57344258,57387792,57479546,57644563,57700920,57719804,57824059,58133088,58202059,58309843,58362763,58397683,58420869,58466659,58485678,58695548,58997079,59023792,59068473,59236508,59311363,59375803,59413603,59471028,59546659,59649043,59660059,59806723,59826523,59865259,59912059,59921203,59957059,59992508,60049723,60073483,60148003,60155059,60231609,60252259,60378259,60412603,60429163,60443923,60468043,60480643,60486259,60491659,60494683,60624109,60683258,60814221,60854588,61023141,61547648,61607228,62100005,62101005,62513786,62643458,62685725,62772986,62974660,63107804,63144918,63393849,63451005,63498813,63748988,64048875,64163150,64333221,64561266,64791726,64913535,64929046,65134268,65148065,65304358,65399724,65509206,65712386,65914980,66241072,66296166,66302204,66341306,66401766,66488225,66937628,67178045,67193652,67681072,67986789,68318800,68329658,68421606,69241104,69380069,69675266,69891470,70039226,70140742,70184805,70309312,70411868,70516604,70668605,70956008,71243066,71360758,71362658,71380205,71457788,71645192,71979548,72077186,72355493,72432506,72550658,73025673,73098681,73724258,73852629,74162204,74265788,74421506,74520006,74521206,74768186,74863792,74926509,75222870,75343106,75552405,75569592,75593825,75632645,76028258,76141206,76241053,76340589,76376733,76595258,76693353,76825833,76858650,76860773,76995780,77606786,77821928,77896242,77920633,77987150,78177678,78385466,78505352,78717026,79097976,79200188,79566765,79709948,79785870,79825509,79886415,80030306,80227505,80237728,80589232,80600841,80613654,80894306,81108866,81233288,81642746,81982560,82128832,82388405,82489466,82514733,82852604,83356604,83488821,83638658,83869764,84221766,84223401,84286774,84558089,84565946,84668258,84802326,84871216,85015791,85104928,85177658,85212176,85307912,85464668,85656246,85758693,85763645,85784186,85795449,86285666,86299773,86463548,86584826,86605870,86726165,86935325,86961788,87448064,87549669,87572666,87710253,88084565,88158458,88255586,88318521,88819773,88985223,89126206,89198225,89437101,89695226,89836109,89878565,89963800,90167906,90230108,90267444,90328604,90543458,90662886,90708009,90712590,90759174,91387449,91459325,91751253,91931258,92230380,92394936,92477306,92682908,92755780,92838458,92877765,93197306,93286658,93291940,93584580,93853148,93927317,94065128,94084346,94089273,94190109,95102875,95212604,95309468,95387906,95403752,95480118,95743044,95863698,95878805,95935505,95971401,95985146,96273006,96742658,96758588,96760096,96877729,97407368,97570658,97751589,97757781,98129301,98231825,98379072,98464826,98488028,98705666,98866086,99062204,99069616,99262586,99320273,99577658,99823552,...,99688361537035077612824467291763864781334590043410290862459853880276781737265323965235372471279665026870211796204962884713098402461525211566697595141757549081523233537155091103788041376620618052668272131375557635633131176019532286892810443704695684732747209185406304774098728762862613387927729948115068371672813113682430850039264211632473681041180874902257833176703074073973888738165562259448726496673395924953868050269255809307265538323123816924817117568557505118318155511070403280613056922095980947277427377418963424808025152420186154769565459080632578753349549926596423617521878167377137739862141529461974501600395949966248346095541101263593386864307843767844915239410673788373112857572854393327031928182236760919429451090712503637839032194647995533867941816085629360820254213273455155206948723208119156525440282383949265545709472314992136074035753022432602403152241819863374503183587118305919695879058826560708275644264212589497148366995814928393522057902039271185214537567315263112654754575690074077218559478852916863607501110021478208382120533592545445253671157261269622110939595089586444847938492178464679068905654219090474153187184938407824769853631131924513832836692900059454427772731881672133702568198673919843129744278706046038701485644863888419155068022110875806852774378886071492410134342506692597077367493818911459049733376687659026117291181463091767074228214146582048734900460843429775743090211164044162239797725590251968947563795234487073460835288925314554660029282964425530322599655221937922166351566715908300084262367426481172509968096183420743996110376001112192786992598334707172033416177924147745847828016242919614302101861925032620266685984107431083841866377293814379813167051479119518794610231770662827142459417751409066401591664206979519281550833357124085028341085219534757810597873481760150837936666832915573236102349771859265187650885915657819884334910905997122765410165663459137530265070447532315656932549245192928573398777221159438147359565767646331163479233199976615234734236904104900128335276571084599748874507124179943969049635972391241209773021430122016690805884876639195529203959315338153796916193779049998418811510490848649498718027626879729210246421033646180489549581772653592725477687699257556654229478995714081234362896606660571603084587546593777688574205017160799228008816189890369891301708929057957671715757865855747045237472444655679862944300339335974324427124353382984200981052826517999661529251736536287406719124008185925891214750724}
15557  3178776304678352004161548335240092546945522685864775228159912718: {124408,139959,606099,854755,1025706,1523018,2000919,2175740,2499847,2610888,2835219,2937249,3108200,3179755,3245143,3431467,3496725,3571210,3729840,3815706,3978496,4196070,4285452,4475808,4570435,4774359,5035284,5484522,5749387,5807098,5877687,6111835,7334202,7526199,7646923,7802755,8034698,8205319,8213410,8260364,8347539,8416435,8723035,8894019,8986327,9032419,9363306,9468667,9632203,9856092,10099722,10256439,10467642,10496252,10712035,11071299,11328307,11478140,11566807,11627755,11800520,12072163,12378907,12424819,12501866,12695187,12837610,12854442,12965079,13187947,13275585,13440823,13758835,13760290,13773768,13931803,13953306,14160624,14281579,14311299,14609899,14669755,14781067,14781704,14821435,15384387,15405132,15495489,15930702,16023898,16063243,16510602,16512348,16524010,16629417,16682419,16720887,17091835,17496919,17603706,17623747,17762888,17785722,17846635,17982727,18171703,18299035,18621547,19194547,19642179,19796925,19828812,19983249,20105035,20276659,20510202,20534983,20764123,20864983,20961399,20982458,21115810,21116720,21157004,21415962,21455755,21602818,21605635,21708619,21958842,22354435,22947490,22991612,23377363,23390588,23559914,23583639,23699755,23756310,23834647,24126042,24168826,24366099,25315562,25338972,25340064,25422139,25465507,25665879,25689610,25746906,25926762,25959019,26065954,26248339,26508763,26602210,26825322,26826235,26880343,26907547,27113228,27218487,27271435,27278899,27361123,27536988,27581719,28143367,28181505,28231786,28249239,28289143,28439706,28507572,28752835,29254819,29335690,29495959,29635267,29672097,29777546,29974940,30034123,30040723,30060272,30330787,30827532,31258807,31626812,31850755,31922652,32191482,32337687,32585755,32591379,32725722,32845160,33261283,33276667,33383467,33603987,33657020,33751363,33802027,33817806,33829418,34213004,34314346,34503402,34651292,34784755,34864887,35202828,35235619,35323925,35969928,36099835,36370839,36392563,36950805,36974755,37337338,37557235,37864892,37965847,38220906,38251543,38400490,38985403,39102906,39155755,39247219,39414192,39584072,39734839,39848059,40088803,40204810,40242103,40388424,40466169,40788104,41057227,41283403,41345642,41741706,41845265,41993722,42388710,42523243,42609667,42626635,42762314,42845623,42905890,43222003,43295799,43319802,43401859,43539987,43577564,43643947,44340966,44369706,44379223,44420266,44514579,44532081,44537612,44927755,45068682,45181160,45185683,45204643,45214624,45301532,45436977,45727959,45788035,45886617,46080588,46220899,46255244,46524643,46743523,46846807,46986906,47147479,47259643,47417619,47462443,47513719,47564002,48245772,48276188,48288610,48327740,48378387,48518408,48618039,48630007,48875720,49112714,49214755,49306327,49813059,49838203,49927219,50067835,50214318,50462750,50488305,50495626,50777635,50828805,50866452,51073867,51151962,51487068,51519943,51645818,52020226,52052755,52186899,52235959,52447219,52618435,52738172,52894839,52928074,53425159,53743159,53854192,53907932,53913306,53991739,54217392,54583209,54626925,54734035,54945642,54985123,54985185,55526347,55707159,55712828,55755739,56293123,56495098,56721883,56840635,56908154,57120835,57946332,57960938,57993288,58014583,58268720,58640648,58650864,58712732,58718739,58976290,58994419,59057706,59092867,59220938,59609818,59774755,59778950,59973463,60081402,60105125,60180727,60425066,60470755,60555300,60585966,60631027,60747490,60933162,60994566,61020067,61026835,61089020,61121419,61148443,61238487,61520648,61587019,61721035,62086507,62148279,62254819,62463306,62601879,62680003,62689543,62691235,62750467,63142122,63223642,63398890,63513788,63625160,63898634,64079048,64592320,64623703,64763635,64856919,65089099,65238163,65242449,65505818,65552310,65680842,65970729,65982222,66078920,66079208,66123393,66155683,66924010,66938659,67193506,67238635,67335883,67756179,67803490,68094187,68101363,68208762,68303467,68306698,68545002,68692183,69210729,69472759,69834283,69922464,69931226,69969548,70161020,70208012,70267867,70344283,70437610,70515578,70771548,71026363,71079127,71492439,71507228,71578305,71729706,71732828,71734740,71737858,71862728,71873467,72088929,72126150,72149755,72288866,72362487,72564906,72666360,72892243,72896988,72903703,72951703,73232202,73306824,73369435,73779740,74045635,74065242,74262314,74338785,74339109,74342602,74393323,74466812,74560654,74644423,74833459,74990635,75229482,75380439,75486619,76068235,76078668,76350192,76448019,76517056,76606058,76660887,76817719,76873539,76934560,77009035,77021282,77510784,77716362,77894492,77976427,77980904,78036019,78039859,78662772,78718325,78757964,78884755,78899323,79294704,79501027,79513543,79676659,79686235,79885579,79917847,80308812,80686362,80845569,80872887,81022867,81055946,81085628,81364188,81417835,81749655,81912387,82306987,82393725,82470177,82801340,82877755,83478283,83672035,83992065,84074059,84105866,84193224,84525132,84601340,84665084,85202499,85231447,85398500,85777628,85893966,86016387,86081688,86219319,86388968,86432698,86551380,86579706,86652439,86685914,86966659,87199632,87345608,87586003,87633523,87728517,87886640,88014835,88043322,88139923,88145755,88394888,88463659,88535688,88695010,88819562,88854762,89206542,89322235,89556490,89591536,89623507,89909146,89974435,89976343,89988762,90256394,90302347,90392419,90463723,90585907,90649052,91024887,91137187,91173602,91228808,91281882,91532467,91821127,91836163,92176699,92321472,92374279,92410842,92702755,92777978,92789719,92806426,92832235,93314659,93352903,93474874,93579740,93614203,93770679,93965187,94159479,94355866,94461990,94661706,94664347,94717377,95008243,95080363,95134279,95220362,95623482,96083299,96244725,96552218,96580522,96841899,96926042,97163383,97187589,97277410,97367564,97393569,97464908,97682323,97701402,97956537,98099586,98131690,98263809,98470172,98485783,98568579,98865883,98872470,98986747,99000235,99360008,99361608,99444249,99453306,99511959,99602649,99637435,99747703,99902012,...,149532542305552616419236700937645797172001885065115436293689780820415172605897985947853058706919497540305317694307444327069647603692287817350046392712636323622284850305732636655682062064930927079002408197063336453449696764029298430339215665557043527099120813778109457161148093144293920081891594922172602557509219670523646275058896317448710521561771312353386749765054611110960833107248343389173089745010093887430802075403883713960898307484685725387225676352836257677477233266605604920919585383143971420916141066128445137212037728630279232154348188620948868130024324889894635426282817251065706609793212294192961752400593924949372519143311651895390080296461765651767372859116010682559669286359281589990547892273355141379144176636068755456758548291971993300801912724128444041230381319910182732810423084812178734788160423575923898318564208472488204111053629533648903604728362729795061754775380677458879543818588239841062413466396318884245722550493722392590283086853058906777821806350972894668982131863535111115827839218279375295411251665032217312573180800388818167880506735891904433166409392634379667271907738267697018603358481328635711229780777407611737154780446697886770749255039350089181641659097822508200553852298010879764694616418059069058052228467295832628732602033166313710279161568329107238615201513760038895616051240728367188574600065031488539175936772194637650611342321219873073102350691265144663614635316746066243359696588385377953421345692851730610191252933387971831990043924446638295483899482832906883249527350073862450126393551139721758764952144275131115994165564001668289180488897502060758050124266886221618771742024364379421453152792887548930400028976161146625762799565940721569719750577218679278191915347655994240713689126627113599602387496310469278922326250035686127542511627829302136715896810222640226256905000249373359854153524657788897781476328873486729826502366358995684148115248495188706295397605671298473485398823867789392860098165831739157221039348651469496745218849799964922852101355356157350192502914856626899623311760686269915953574453958586861814659532145183025036208827314958793293805938973007230695374290668574997628217265736272974248077041440319593815369631550469270734324372658980389088216531548886334981344218493571121851544344909990857404626881319890666532861307525741198842013224284835554836952563393586936507573636798783620567856208666983519794416450509003961486640686530074476301471579239776999492293877604804431110078686012278888836822126086}
15558  3192893594315116034877091720403898755411634059675568425187790921: {108857,155510,186612,264197,481337,729017,808132,900566,945317,1367608,1499717,1538559,1653257,1828646,2020937,2284527,2417957,2568518,2570297,2667892,2719675,2753126,2783237,3026117,3056441,3263610,3480137,3481184,3490118,3510341,3661241,3780292,3842057,3885250,3916332,4112741,4142777,4292837,4662300,4831397,4973120,5040137,5087608,5322518,5356815,5456441,5504966,5594760,5713936,5723559,5967744,6018917,6051446,6195941,6294105,6343241,6365812,6372677,6428178,6713712,6901157,6959366,7047497,7312696,7552926,7836916,7863686,8124197,8224406,8226783,8710647,8944118,8989157,9075257,9247241,9778936,9846917,10034932,10273097,10325455,10782137,11001303,11130052,11260517,11622518,11624777,11858692,11959817,12052047,12099077,12182537,12320115,12390546,12484408,12626441,12684806,12933991,13120315,13141456,13453241,13466296,13566086,13590341,13675252,13699877,13956856,14044959,14109497,14347675,14443766,14517317,14679941,14750650,14761732,14784138,14842277,15085241,15143318,15149583,15488741,15542527,15701463,15744378,15863717,16023941,16582457,16847177,16926916,17139256,17217210,17286772,17452997,17573606,17636537,17700780,17715077,17918486,18236837,18365024,18434726,18477130,18604408,18626057,18752799,18880832,19081732,19256415,19281663,19322117,19578437,19634246,19808441,19935941,20146166,20469257,20512516,20540176,20640435,20660652,20721977,20923577,20929959,21240936,21699941,21824441,22012118,22014136,22016464,22172556,22203610,22294516,22665737,22788677,22854518,23033957,23107698,23471608,23525846,23546441,23714296,23860646,23896053,24035847,24272441,24488837,24695126,24765903,24768522,24776357,24786015,25194086,25324217,25490117,25561097,25608377,25679237,25702841,25820741,26022806,26189572,26302738,26313737,26395900,26405559,26438416,26446255,26644332,26678583,27176966,27346936,27948532,28045637,28136741,28554616,28680677,28725797,28739515,28950917,29238235,29278456,29464118,29621477,29626406,29743218,30130697,30591941,30765303,30919241,30940997,31266377,31374437,31444852,31473687,31568441,31673715,31675080,31697417,31735506,31975877,32043446,32123943,32168056,32210441,32404227,32488132,32866277,32938263,33159941,33180857,33243557,33472841,33597497,33785296,33786752,33866597,33891535,34112006,34175417,34221172,34298441,34329208,34421235,34487418,34569016,34636063,35010341,35085882,35211941,35215766,35339871,35392697,35492837,35634465,35689591,35732357,35767096,35911241,36089477,36189063,36253239,36291316,36326117,36581177,36715984,36873797,37087241,37246886,37261157,37376741,37468675,37575340,37665652,37779017,37855241,37919608,37973343,38008458,38010096,38064197,38253317,38309897,38422841,38534415,38620359,38815877,38890143,38964677,39098931,39242297,39371237,39533515,39562796,39810341,39903315,40064357,40237983,40514057,40621241,40669842,40728137,40870217,40994117,41056450,41103376,41305482,41763941,41833157,41867717,42071275,42142886,42347679,42348197,42453607,42563536,42603017,42659559,42744518,42761358,42766255,42805577,42921976,43116916,43190597,43306937,43314115,43455172,43634296,43637177,43642646,43801097,44003535,44029241,44094137,44432741,44512841,44666319,44805316,44962410,45090408,45287237,45318437,46004536,46241298,46284857,46486516,46911497,46937104,47037446,47058617,47122418,47331115,47408441,47440218,47883978,47910341,47959904,47995397,48122441,48206777,48287223,48388517,48494452,49074917,49088583,49155941,49267740,49370597,49480090,50485530,50539877,50641046,50715941,50726709,50744127,50961208,50977097,50985130,51015679,51161477,51310567,51319506,51350966,51392441,51471519,51560777,51755103,51976938,52056377,52057286,52137208,52333241,52401737,52515257,52549157,52552256,52616741,52784441,52804242,53114441,53233637,53330441,53341157,53690297,53737766,53804741,53830567,53851232,53954892,54000137,54051077,54293318,54471955,54598217,54762437,54848441,54886457,54933797,54943241,55110583,55222841,55405241,55414277,55655608,55672015,55725497,55809206,55984457,56006007,56009957,56069167,56194757,56219606,56359397,56476450,56492486,56518280,56560697,56626915,56749241,56797338,56834117,56864741,56902841,56910437,56970917,57082937,57127241,57331359,57372857,57387017,57478277,57513017,57581897,57600735,57622841,57663497,57727732,57759736,57763877,57819055,57819307,58053316,58072997,58085477,58165817,58256837,58274827,58328357,58375397,58433477,58496441,58602917,58654359,58668677,58743941,58853897,58950341,58995017,59004857,59121288,59139257,59159608,59329097,59352772,59367941,59376108,59389241,59427077,59512841,59606537,59684741,59722118,59759417,59769797,59823941,59840441,59843717,59869637,59935241,59991557,60087737,60090341,60091576,60210341,60229817,60303077,60307215,60327941,60345235,60377417,60409157,60409675,60421637,60428741,60434441,60456197,60459017,60459941,60483257,60487877,60493241,60503237,60505097,60508997,60511397,60582636,60648010,60911846,60970612,61094650,61182156,61440784,61829126,62018463,62612559,62649208,62879887,62990583,62998118,63223492,63583065,64143471,64155446,64327696,64358835,64504516,64824052,64979703,65366346,65922715,66309686,66417412,66511449,66554559,66630399,66806418,66952424,67317740,67384915,67603023,67771740,67821936,67952298,68052518,68202616,68233291,68545286,68649424,68668118,69120882,69382866,69582532,69641035,70480359,70526452,71346003,71884408,72286118,72289856,72368658,72414282,72432915,72491610,72777612,72835900,73260856,73300810,73313580,73346246,73390915,73463318,73580246,73669071,74276212,75321477,75590347,75694125,75743439,76299678,76361275,76427407,76727943,76900810,76908518,77230602,77261776,77324384,77345527,77468727,77582006,78030339,78201152,78291652,78392594,78743608,79107258,79243046,79392111,79392235,79531450,79825207,80098810,80108536,80610079,80740400,80781288,80861898,80869959,81244216,81326088,81407366,81651316,81939446,81994627,82418463,82598650,82599010,82783286,82864372,82888118,83284408,83469172,83514086,83569242,84189496,84742647,85362231,86334226,86366726,86466518,86475892,86919498,86940007,86941407,86989932,87062246,87403080,87461935,87574456,87701275,87760015,87960972,87976296,88069098,88164524,88464435,88586559,88818326,88831407,89010566,89384035,89414727,89666035,89668425,89828410,90122103,90341572,90637599,90832950,90835459,90878949,90945016,91121235,91207291,91272518,91393336,91399743,91491849,91633530,92224675,92280972,92553686,93083515,93229952,93540518,93694959,94049263,94362064,94422518,94713183,94771286,94835463,95098335,95270682,95323252,95437740,95639608,95646320,95847951,96118572,96168200,96483316,96564518,96753208,96888480,97195984,97368115,97476130,97642936,97742432,97848058,98132246,98258727,98328465,98447455,98521263,98618938,98753656,98936047,98973333,99016118,99118380,99118812,99611642,99932287,...,224298813458328924628855051406468695758002827597673154440534671230622758908846978921779588060379246310457976541461166490604471405538431726025069589068954485433427275458598954983523093097396390618503612295595004680174545146043947645508823498335565290648681220667164185741722139716440880122837392383258903836263829505785469412588344476173065782342656968530080124647581916666441249660872515083759634617515140831146203113105825570941347461227028588080838514529254386516215849899908407381379378074715957131374211599192667705818056592945418848231522282931423302195036487334841953139424225876598559914689818441289442628600890887424058778714967477843085120444692648477651059288674016023839503929538922384985821838410032712068716264954103133185137822437957989951202869086192666061845571979865274099215634627218268102182240635363885847477846312708732306166580444300473355407092544094692592632163071016188319315727882359761593620199594478326368583825740583588885424630279588360166732709526459342003473197795302666673741758827419062943116877497548325968859771200583227251820760103837856649749614088951569500907861607401545527905037721992953566844671166111417605732170670046830156123882559025133772462488646733762300830778447016319647041924627088603587078342700943748943098903049749470565418742352493660857922802270640058343424076861092550782861900097547232808763905158291956475917013481829809609653526036897716995421952975119099365039544882578066930132018539277595915286879400081957747985065886669957443225849224249360324874291025110793675189590326709582638147428216412696673991248346002502433770733346253091137075186400329332428157613036546569132179729189331323395600043464241719938644199348911082354579625865828018917287873021483991361070533689940670399403581244465703918383489375053529191313767441743953205073845215333960339385357500374060039781230286986683346672214493310230094739753549538493526222172872742783059443096408506947710228098235801684089290147248747608735831559022977204245117828274699947384278152033034236025288754372284940349434967641029404873930361680937880292721989298217774537554313240972438189940708908459510846043061436002862496442325898604409461372115562160479390723054447325703906101486558988470583632324797323329502472016327740356682777316517364986286106940321979835999799291961288611798263019836427253332255428845090380404761360455198175430851784313000475279691624675763505942229961029795111714452207368859665499238440816407206646665118029018418333255233189129}
15559  3207073085140332625875264722382683823500585093726302077120070584: {15559,233265,248816,279918,1010165,1196657,1212198,1350849,1709510,2051412,2742969,3046036,3334865,3835169,3852777,4001838,4129689,4351480,4451657,4725365,4895415,4999694,5221776,5235177,5670438,5827875,5874498,6216400,6312977,6359510,6398609,6490286,6862934,6993450,7142420,7459680,7631412,7956992,7957265,7983777,8174297,8257449,8392140,8546561,8556569,8570904,8951616,9077169,9140870,9548718,9642267,9796145,10070568,10439049,10674677,10923857,10969044,11329389,11498774,11614196,11755374,11783009,11795529,12212249,12223670,12336609,12543665,12661049,13416177,13835249,13912565,14668404,14683877,14823365,14892617,14996849,15052398,15293846,15322577,15605510,15884609,16069396,16278857,16410638,16426820,16486217,16520728,16623989,16695078,16832870,17094065,17433777,17446070,17788038,17972654,18064838,18452165,18511361,18585819,18726612,18937334,19027209,19262369,19264406,19697129,19712184,20199444,20349129,20512878,20537657,20678177,20750009,20935284,20992504,21158645,21424070,21452729,21475649,21608465,21665649,22125975,22142598,22176207,22656614,22714977,22956280,23133614,23206961,23255510,23601040,23616567,23852165,23928569,24144326,24757814,24849638,24985289,25003732,25390374,25618649,25640645,25675220,25708884,25825815,25930158,26127641,26360409,26375894,26551170,26580257,26877729,26881646,27033689,27517670,27520580,27547536,27652089,27715695,27863606,27868145,27906612,28147049,28321248,28461449,28563158,28609577,28622598,29219798,29248097,29339510,29451369,29562134,29563408,29627441,29642870,30038057,30219249,30247889,30768774,30810264,30990978,31296209,31861404,32047796,32112497,32126486,32596577,32736965,32994875,33018177,33021204,33024696,33048020,33121769,33179657,33258834,33305415,33364838,33441774,33598961,34183670,34281777,34444409,34573877,34661547,34895477,34935665,34993838,35207412,35247494,35288769,35398241,35525776,35571444,35693270,35790969,35965454,36343406,36598070,37042689,37152783,37191569,37243094,37556729,37791129,38180009,38389094,38588561,38675489,39034209,39284358,39306065,39308789,39454107,39508697,39593850,39657624,39966498,40210070,40253969,40553318,40578857,40589777,40610165,40674041,40765449,41020404,41069966,41528246,41729966,41922798,41964916,42231620,42233440,42314008,42443897,42596201,42776465,42831924,42911510,43205636,43211270,43417238,43571921,43917684,44196177,44298017,44439609,44591057,44614827,44708870,45139889,45206369,45364145,45540737,45620057,45887489,45894980,45983224,46080449,46383077,46530737,46754726,46781176,46969175,47082065,47119828,47167278,47265797,47399510,47413169,47512620,47558849,47603259,47622569,47669294,48065169,48252084,48301937,48337652,48475577,48698657,48732198,48778529,49453495,50006921,50360069,50539769,50631124,50677944,50680128,50844278,50931014,51080549,51168009,51331758,51379220,51468857,51493812,51731127,51764657,51853524,51918038,52131908,52242761,52496678,52580129,52628823,52819601,52823649,52971209,53017526,53204420,53423669,53650644,53652470,53760686,53815094,53896145,54226456,54318965,54436974,54542870,54557798,54722246,54818057,54823889,54983669,54992297,55073976,55163438,55405097,55564961,55701521,55870329,56006645,56152577,56286734,56363010,56463572,56498478,56578286,56879412,57012687,57015144,57505670,57633377,58074329,58108145,58348961,58509638,58583371,58671380,58991918,59039129,59270534,59344194,59555092,59613509,59677289,59949880,60068246,60081446,60120544,60618065,60633737,60661574,61004763,61453961,61584675,61655064,61958223,61983077,62041121,62160629,62517614,62898857,63214329,63253624,63701510,63845304,64103249,64116777,64142037,64382964,64592849,64675374,65171510,65182758,65365577,65451444,65463969,65690320,66044969,66444089,66522566,66553334,66766934,66814337,67207974,67314040,67443615,67502726,67604054,67635612,67658836,67764089,68110361,68264177,68426008,68562689,68628692,68900657,69006804,69302584,69361947,69569510,69720677,69729774,69993269,70054121,70094969,70353497,70405656,70471238,70556169,70647850,70683627,70877729,71088689,71160327,71825967,71939856,71979737,72159665,72199670,72566645,72741678,72785126,72873857,72913241,73411049,73573877,73665809,73901610,73949510,74190965,74220135,74600177,74674676,75114470,75728295,75729784,75862457,75931694,75961569,76213265,76339169,76441812,76477695,76503086,76627649,76800980,76979259,77026449,77965407,77970806,78050081,78085929,78183989,78205812,78311510,78494438,78540377,78620081,78828384,79029365,79114769,79168144,79206363,79469678,79523897,79576889,79696118,79969169,80140937,80177606,80329169,80409620,80483429,80484206,80566901,80606649,80621969,80630645,80681777,80776848,80932338,81030065,81439977,81467801,81576208,81581009,82114454,82135877,82566806,82691284,83021765,83483412,83684657,83690530,83713809,83987444,84147175,84329409,84659057,84714675,84738729,84751349,84777420,85046486,85171601,85196007,85219334,85253270,85437569,85524628,85691246,85811780,86215649,86409449,86444006,86591598,86639604,86803718,86978165,87079974,87155128,87287894,87767729,88158065,88475201,88681932,88739412,88758446,88840532,88854089,89029158,89064162,89075224,89583177,89855510,90137364,90140069,90362320,90371366,90409286,90429248,90554969,90603064,90669089,90784577,90873954,90972015,91044875,91127717,91367769,91455918,91576070,91641975,91773234,91908329,92161176,92441798,92510488,92630129,92743689,92845265,93049286,93487046,93626417,93693614,93736961,93973812,94134089,94294958,94497177,94519286,94564601,94835238,94924886,95027438,95128004,96117641,96233169,96491544,96552376,96577220,96655480,96756774,97036816,97215089,97236078,97260014,97751440,97864565,98049519,98225428,98248949,98429510,98612654,98814617,98878757,98979521,98990369,99464529,99626118,99676406,99854438,...,299065084611105232838473401875291594344003770130230872587379561640830345211795971895706117413838995080610635388614888654139295207384575634700092785425272647244569700611465273311364124129861854158004816394126672906899393528058596860678431331114087054198241627556218914322296186288587840163783189844345205115018439341047292550117792634897421043123542624706773499530109222221921666214496686778346179490020187774861604150807767427921796614969371450774451352705672515354954466533211209841839170766287942841832282132256890274424075457260558464308696377241897736260048649779789270852565634502131413219586424588385923504801187849898745038286623303790780160592923531303534745718232021365119338572718563179981095784546710282758288353272137510913517096583943986601603825448256888082460762639820365465620846169624357469576320847151847796637128416944976408222107259067297807209456725459590123509550761354917759087637176479682124826932792637768491445100987444785180566173706117813555643612701945789337964263727070222231655678436558750590822503330064434625146361600777636335761013471783808866332818785268759334543815476535394037206716962657271422459561554815223474309560893395773541498510078700178363283318195645016401107704596021759529389232836118138116104456934591665257465204066332627420558323136658214477230403027520077791232102481456734377149200130062977078351873544389275301222684642439746146204701382530289327229270633492132486719393176770755906842691385703461220382505866775943663980087848893276590967798965665813766499054700147724900252787102279443517529904288550262231988331128003336578360977795004121516100248533772443237543484048728758842906305585775097860800057952322293251525599131881443139439501154437358556383830695311988481427378253254227199204774992620938557844652500071372255085023255658604273431793620445280452513810000498746719708307049315577795562952657746973459653004732717991368296230496990377412590795211342596946970797647735578785720196331663478314442078697302938993490437699599929845704202710712314700385005829713253799246623521372539831907148907917173723629319064290366050072417654629917586587611877946014461390748581337149995256434531472545948496154082880639187630739263100938541468648745317960778176433063097772669962688436987142243703088689819981714809253762639781333065722615051482397684026448569671109673905126787173873015147273597567241135712417333967039588832901018007922973281373060148952602943158479553998984587755209608862220157372024557777673644252172}
15560  3221315049047151510564579792248255896077297946761439457509646358: {217714,295279,311020,373224,419877,528394,962674,1038031,1458034,1616264,1684159,1801132,1818297,1890634,2564265,2735216,2999434,3056839,3077118,3238639,3306514,3510799,3657292,3691879,3807545,4041874,4143319,4323391,4569054,4835914,5137036,5140594,5335784,5439350,5506252,5566474,5575831,5664751,6002757,6052234,6112882,6373519,6527220,6638119,6960274,6962368,6980236,7020682,7322482,7340551,7499541,7515439,7560584,7684114,7770500,7832664,8212111,8225482,8285554,8505657,8585674,8645191,8811747,8928025,9162511,9324600,9420199,9539265,9662794,9735429,9946240,10018951,10080274,10175216,10274479,10294401,10490175,10529359,10645036,10713630,10868191,10912882,10952719,11009932,11189520,11427872,11447118,11935488,12037834,12102892,12128551,12211999,12391882,12588210,12686482,12731624,12745354,12856356,12876991,13290271,13427424,13711305,13802314,13918732,14094994,14111431,14323077,14455637,14517745,14519311,14625392,14681959,15105852,15673832,15727372,16212751,16248394,16292599,16448812,16453566,16611271,16849519,17248161,17402911,17421294,17633061,17717551,17888236,17978314,18150514,18265399,18335505,18368441,18494482,19557872,19693834,20069864,20086745,20497471,20533525,20546194,20650910,20666437,20951719,21478399,21564274,21703039,22002606,22260104,22298911,22521034,22578597,22668991,22940769,23037271,23245036,23249554,23408265,23717384,23919634,24104094,24198154,24203671,24365074,24615957,24640230,24779959,24781092,24968816,25042617,25137799,25249305,25252882,25369612,25564831,25635751,25706599,25867982,26169105,26240630,26282912,26340991,26682057,26906482,26932592,26958981,27039031,27097257,27132172,27180682,27350504,27399754,27913712,28072591,28089918,28218994,28406001,28695350,28752631,28887532,28896609,28955239,29034634,29157199,29359882,29501300,29523464,29568276,29625919,29684554,29958559,30157279,30170482,30286636,30299166,30421231,30618439,30769317,30945679,30977482,31085054,31254665,31335991,31400791,31402926,31465519,31488756,31727434,32047882,32094025,32136105,32300431,33164914,33185959,33213897,33248671,33623431,33694354,33853832,33984921,34278512,34400725,34426519,34434420,34573544,34700421,34793071,34883265,34905994,34914679,35035999,35147212,35273074,35401560,35430154,35698111,35757871,35836972,36216489,36292471,36473674,36730048,36869452,36954260,37024757,37136721,37208816,37252114,37274457,37401919,37505598,37761664,37861279,38085561,38146039,38163464,38512830,38563326,38644234,38710159,38895237,39156874,39267079,39268492,39377599,39432751,39563841,39616882,39707431,39826755,39871882,40059745,40088959,40197319,40235321,40292332,40322469,40520671,40627879,40933529,40938514,41025032,41080352,41276505,41280870,41310025,41321304,41443954,41795409,41847154,41859918,41891911,42304039,42355231,42481872,42844737,42933897,43114471,43363951,43399882,43648882,43660951,43829697,43857511,44009265,44024236,44028272,44032928,44101591,44150191,44198719,44343201,44345112,44407220,44464305,44589032,45331474,45577354,45709036,45805831,45989431,46067914,46153161,46215396,46486467,46667671,46934431,46943216,47051692,47092882,47428592,47448149,47546791,47721292,47792106,47932999,48018031,48071694,48145039,48189729,48229351,48544882,48852511,48977674,49379479,49390252,49419511,49531806,49537044,49552714,49572030,49855111,49888251,50047257,50162661,50205031,50388172,50435071,50549119,50648434,50737759,50775271,50980234,51122194,51183151,51216754,51219799,51275505,51358474,51405682,51582319,51641482,51831799,52045612,52251271,52285759,52379144,52422991,52456145,52490757,52605476,52627474,52761031,52789525,52791800,52811118,52871241,52876832,52892510,53124559,53288664,53351359,53357166,53383471,53539905,53948181,54007045,54010591,54353932,54515109,54693872,54897105,54954079,55094839,55346921,55425319,55864641,55897064,56004271,56029759,56091274,56156119,56206159,56273482,56379031,56403439,56524399,56572279,56690719,56714191,56760919,56922199,57109232,57361354,57368725,57451594,57479030,57583641,57776119,57901834,57913711,58066639,58085431,58269391,58476470,58514839,58548751,58556912,58565599,58697791,58762159,58809679,58899785,58926537,58928236,59008111,59022871,59180479,59221951,59242954,59252812,59302951,59390775,59486436,59530399,59612551,59623999,59646679,59702119,59723791,59857639,59872757,59915311,59949747,59979319,60104599,60200071,60240031,60261394,60291257,60295111,60315105,60344359,60359479,60378631,60422065,60425359,60453871,60475039,60518599,60519751,60639761,60829977,61183882,61530606,61594181,61604949,61838482,61881994,62292369,62532754,62594949,62748874,62884197,62889704,62947374,63136882,63288905,63347430,63350160,63394834,63471012,63951754,64086892,64224025,64247886,64336112,64367265,64420882,64808454,64816905,64976264,65125857,65130689,65164885,65732554,65876526,66263561,66319882,66361714,66487114,66505525,66945682,67063305,67194994,67570592,67573504,67733194,67783070,68224012,68350834,68442344,68596882,68658416,68842470,68974836,69138032,69272126,70020682,70132089,70171764,70423882,70431532,70579465,70679742,70750917,70785394,70985674,71099265,71268930,71379182,71464714,71503941,71534192,71822482,72178954,72378126,72506478,72582632,72652234,73098297,73162354,73339225,73431968,73747594,74174482,74443865,74493772,74522314,74753482,74937350,75150680,75331304,75558034,75710482,75839216,75946686,76016916,76020192,76128394,76260737,76266417,76396521,76506634,76619794,76845682,76880617,76997637,77068830,77240718,77631754,77780286,77877057,77929354,77940821,78197862,78484594,78742474,78745017,79067030,79125592,79277681,79526289,79620682,79806630,80128714,80475966,80478705,80641029,80722641,80946677,81028114,81242482,81339684,81456274,81655461,81740434,81814305,81836697,81988234,82083369,82112900,82206752,82610964,82745157,83527882,83666314,83735434,84142550,84285772,84430101,84483329,84544515,84573545,84695358,84696394,84747717,84867429,84907214,85127072,85206034,85319118,85489036,85522716,85532510,85611154,85785865,85843952,86233832,86258505,86381194,86613874,86628230,86910344,87268592,87274354,87285292,87602194,87764457,88007070,88058482,88188274,88487877,88865482,88905801,89016291,89025682,89332638,89610632,89924820,90102369,90122169,90180816,90574474,90636874,90992361,92009072,92291801,92482596,92569714,92973032,93343345,93776421,93822994,93874208,94074892,94117234,94244836,94338881,94662230,94816882,94880436,95266457,95552265,95767956,95820682,95919808,95990794,96001225,96244882,96413554,96574446,96777034,96902741,96988904,97013061,97497449,97757265,97774137,98149834,98177166,98311882,98535480,98741194,98960180,99783849,99830001,...,448597626916657849257710102812937391516005655195346308881069342461245517817693957843559176120758492620915953082922332981208942811076863452050139178137908970866854550917197909967046186194792781237007224591190009360349090292087895291017646996671130581297362441334328371483444279432881760245674784766517807672527659011570938825176688952346131564685313937060160249295163833332882499321745030167519269235030281662292406226211651141882694922454057176161677029058508773032431699799816814762758756149431914262748423198385335411636113185890837696463044565862846604390072974669683906278848451753197119829379636882578885257201781774848117557429934955686170240889385296955302118577348032047679007859077844769971643676820065424137432529908206266370275644875915979902405738172385332123691143959730548198431269254436536204364481270727771694955692625417464612333160888600946710814185088189385185264326142032376638631455764719523187240399188956652737167651481167177770849260559176720333465419052918684006946395590605333347483517654838125886233754995096651937719542401166454503641520207675713299499228177903139001815723214803091055810075443985907133689342332222835211464341340093660312247765118050267544924977293467524601661556894032639294083849254177207174156685401887497886197806099498941130837484704987321715845604541280116686848153722185101565723800195094465617527810316583912951834026963659619219307052073795433990843905950238198730079089765156133860264037078555191830573758800163915495970131773339914886451698448498720649748582050221587350379180653419165276294856432825393347982496692005004867541466692506182274150372800658664856315226073093138264359458378662646791200086928483439877288398697822164709159251731656037834575746042967982722141067379881340798807162488931407836766978750107058382627534883487906410147690430667920678770715000748120079562460573973366693344428986620460189479507099076987052444345745485566118886192817013895420456196471603368178580294497495217471663118045954408490235656549399894768556304066068472050577508744569880698869935282058809747860723361875760585443978596435549075108626481944876379881417816919021692086122872005724992884651797208818922744231124320958781446108894651407812202973117976941167264649594646659004944032655480713365554633034729972572213880643959671999598583922577223596526039672854506664510857690180760809522720910396350861703568626000950559383249351527011884459922059590223428904414737719330998476881632814413293330236058036836666510466378258}
15561  3235619759107811125938430106551178048644014537372397213500313694: {31118,326571,388775,466530,497632,559836,792591,1414231,1444011,2020330,2187051,2251415,2393314,2424396,2701698,2835951,3419020,3928331,4102824,4487303,4499151,4571615,4615677,4668811,4959771,5485938,6062811,6092072,6421295,6615511,6669730,6853581,6882815,7253871,7460791,7670338,7705554,7710891,8003676,8159025,8259378,8349711,8702960,8725295,8903314,9034751,9078351,9135979,9169323,9450730,9713125,9790830,9999388,10440411,10443552,10470354,10531023,10983723,11140171,11340876,11526171,11655750,11748996,12338223,12382103,12428331,12432800,12625954,12719020,12797218,12878511,12980572,13306295,13714603,13725868,13762415,13986900,14121371,14284840,14494191,14613671,14919360,15120411,15128615,15136319,15262824,15913984,15914530,15967554,16070445,16348594,16369323,16514898,16784280,17093122,17113138,17141808,17170677,17398415,17561131,17770471,17903232,18056751,18154338,18176411,18281740,18587823,18675911,18882315,19029723,19097436,19118031,19284534,19477591,19483711,19592290,19659215,20141136,20561015,20703471,20752711,20878098,21142491,21349354,21815471,21847714,21877063,21938088,22360295,22658778,22997548,23227391,23228392,23510748,23566018,23591058,23931691,24372591,24424498,24447340,24673218,24680349,25087330,25242239,25257611,25322098,25833031,26131941,26474303,26515631,26832354,26967471,27225771,27670498,27741723,27825130,28258571,29056295,29262431,29336808,29367754,29540751,29622103,29646730,29785234,29816471,29993698,30104796,30214123,30251851,30587692,30645154,30819291,30976365,31211020,31413031,31712015,31769218,31834199,32138792,32269259,32346411,32557714,32821276,32853640,32972434,33003909,33041456,33247978,33390156,33393031,33609791,33665740,33781551,33915215,34166603,34188130,34324751,34867554,34874331,34892140,35576076,35879451,35896903,35945308,36109415,36129676,36156141,36297231,36547611,36876625,36904330,36960345,37022722,37171638,37400159,37453224,37839499,37858295,37874668,37879323,38054418,38513351,38524738,38528812,38801973,39015403,39360945,39394258,39424368,39707863,39858383,40359723,40398888,40698258,40771023,41025756,41075314,41099631,41356354,41500018,41733151,41870568,41985008,42134877,42240539,42317290,42328491,42848140,42905458,42951298,43043025,43216930,43331298,43551951,43655303,43934015,44039823,44156779,44225291,44251950,44285196,44352414,44514331,44526831,44796215,45255723,45313228,45429954,45448749,45604663,45831751,45912560,46086815,46192825,46267228,46413922,46466223,46511020,46627581,47104389,47196479,47202080,47233134,47591151,47704330,47857138,47956831,48071823,48288652,48528551,48909931,49085615,49258411,49515628,49699276,49747371,49970578,50007464,50365415,50541531,50780748,51237298,51281290,51350440,51417768,51533291,51651630,51860316,52255282,52358991,52446283,52720818,52751788,52826479,52909611,53102340,53117471,53145231,53160514,53755458,53757083,53763292,53820871,54067378,54710511,54990871,55028491,55030295,55035340,55041160,55095072,55304178,55367503,55431390,55509025,55727212,55736290,55813224,55878171,56258397,56284783,56294098,56642496,56854231,56922898,57126316,57136295,57219154,57245196,57448519,57769245,57844989,57966351,58439596,58496194,58508399,58679020,58735311,58814615,58902738,59124268,59126816,59254882,59285740,59425323,59651615,59807823,59887051,60076114,60438498,60495778,60826831,61407771,61461979,61537548,61620528,61737815,61921305,61981956,62165931,62592418,62770731,62789877,62985215,63233003,63509803,63722808,64095592,64224994,64252972,64873919,64906603,65057015,65099823,65193154,65473323,65473930,65478751,65756845,65914891,65989750,66036354,66042408,66049392,66096040,66243538,66319819,66359314,66469943,66517668,66610830,66626863,66729676,66788903,66822239,66883548,67197922,67616831,67942415,67997211,68366031,68367340,68563554,68696431,68888818,68957863,69101871,69147754,69234893,69251803,69323094,69738779,69790954,69871330,69987676,70414824,70494988,70577538,70639323,70796482,71051552,71142888,71386540,71581938,71688159,71930908,72107541,72686812,72817323,72911351,73165511,73196140,73466511,73616411,73660295,74066015,74085378,74297709,74305566,74329071,74358045,74383138,74486188,74583839,74820391,75113458,75454603,75582258,75972651,76046551,76360018,76470351,76683291,76778188,76825131,77037711,77056103,77108523,77177122,77350978,77462223,77481371,78068418,78409303,78568716,78612130,78617578,78630379,78908214,78941211,79017394,79187700,79216677,79315248,79338765,79932996,80035749,80108615,80420140,80494063,80507938,80536871,80933663,81106636,81157714,81179554,81220330,81348082,81351403,81530898,81794711,82040808,82047643,82058303,82139932,83056492,83459932,83845596,83929832,84050251,84098603,84136911,84410223,84463240,84466880,84628016,84865291,84887794,85192402,85280015,85552930,85663848,85823020,85888951,86042031,86123239,86177391,86218545,86406311,86411272,86422540,86834476,86852751,87143842,87339071,87714705,87835368,88039415,88251851,88392354,88596034,88864431,88879218,89182114,89229654,89417740,89655631,90279778,90392091,90412738,90728290,91081474,91240114,91774559,91774978,91775823,91789960,91966448,92160898,92295909,92642191,92757723,92766154,92822991,93061474,93117215,93509452,93562352,93799131,93938350,94123311,94164130,94239656,94334556,94421061,94469303,94531594,94576939,94705323,94713131,94799020,94826338,95021145,95025240,95092251,95117698,95206518,95245138,95338588,95351191,95927631,96130338,96371829,96504168,96603874,96631323,96675304,96951154,97212681,97318919,97397314,97464396,97557058,97564511,98512139,98598831,98713271,98814789,98906990,99012503,99479823,99542571,99730671,...,672896440374986773886565154219406087274008482793019463321604013691868276726540936765338764181137738931373929624383499471813414216615295178075208767206863456300281826375796864950569279292189171855510836886785014040523635438131842936526470495006695871946043662001492557225166419149322640368512177149776711508791488517356408237765033428519197347027970905590240373942745749999323748982617545251278903852545422493438609339317476712824042383681085764242515543587763159548647549699725222144138134224147871394122634797578003117454169778836256544694566848794269906585109462004525859418272677629795679744069455323868327885802672662272176336144902433529255361334077945432953177866022048071518511788616767154957465515230098136206148794862309399555413467313873969853608607258577998185536715939595822297646903881654804306546721906091657542433538938126196918499741332901420066221277632284077777896489213048564957947183647079284780860598783434979105751477221750766656273890838765080500198128579378026010419593385908000021225276482257188829350632492644977906579313601749681755462280311513569949248842266854708502723584822204636583715113165978860700534013498334252817196512010140490468371647677075401317387465940201286902492335341048958941125773881265810761235028102831246829296709149248411696256227057480982573768406811920175030272230583277652348585700292641698426291715474875869427751040445489428828960578110693150986265858925357298095118634647734200790396055617832787745860638200245873243955197660009872329677547672748080974622873075332381025568770980128747914442284649238090021973745038007507301312200038759273411225559200987997284472839109639707396539187567993970186800130392725159815932598046733247063738877597484056751863619064451974083211601069822011198210743733397111755150468125160587573941302325231859615221535646001881018156072501122180119343690860960050040016643479930690284219260648615480578666518618228349178329289225520843130684294707405052267870441746242826207494677068931612735353484824099842152834456099102708075866263116854821048304902923088214621791085042813640878165967894653323612662939722917314569822126725378532538129184308008587489326977695813228384116346686481438172169163341977111718304459676965411750896974391969988507416048983221070048331949552094958858320820965939507999397875883865835394789059509281759996766286535271141214284081365594526292555352939001425839074874027290517826689883089385335143356622106578996497715322449221619939995354087055254999765699567387}
15562  3249987489578711321057012814250835123651430759475304243530195574: {46677,171061,435428,590558,622040,699795,746448,839754,1056788,1377097,1561561,1925348,2076062,2296537,2753557,2916068,3030495,3232528,3368318,3571657,3589971,3602264,3636594,3781268,4023637,4052547,4273775,4473817,5128530,5330563,5470432,5902297,5998868,6079561,6113678,6154236,6477278,6521461,6613028,6961561,7021598,7224757,7314584,7383758,7615090,7661977,8083748,8228907,8286638,8646782,8876617,9138108,9671828,10004595,10162357,10274072,10281188,10671568,10672117,10878700,11012504,11132948,11151662,11329502,11505507,11558331,11935177,12005514,12102361,12104468,12225764,12352597,12389067,12499235,12685237,12747038,13054440,13276238,13354971,13594057,13758361,13920548,13924736,13960472,14041364,14167861,14176095,14644964,14681102,14686245,14738137,14819317,14999082,15030878,15121168,15368228,15541000,15665328,15705531,15898775,16225715,16424222,16450964,16571108,16587061,17011314,17142217,17157335,17171348,17290382,17483625,17623494,17856050,18007477,18325022,18649200,18786517,18840398,18938931,19078530,19195827,19325588,19470858,19892480,19941577,20037902,20160548,20324843,20350432,20548958,20588802,20853961,20980350,21058718,21231061,21290072,21427260,21736382,21755977,21825764,21905438,22019864,22379040,22852175,22855744,22894236,23820361,23870976,23871795,23951331,23965657,24075668,24205784,24257102,24423971,24423998,24522891,24772347,24783764,24903061,25176420,25372964,25463248,25490708,25615861,25639683,25669707,25712712,25753982,26110537,26531737,26580542,26854848,27231507,27422610,27573397,27604628,27837464,27848437,28121443,28189988,28222862,28258837,28395061,28646154,28734361,28746935,28911274,28926801,29035490,29038622,29250784,29363918,29388435,30211704,30559175,30863257,31317147,31347664,31454744,31578037,31707061,32024031,32028361,32220277,32425502,32496788,32585198,32771571,32897624,32907132,33222542,33483157,33699038,33794377,33918361,33988167,34350037,34496322,34805822,34842588,35142361,35263177,35266122,35349027,35386587,35435102,35776472,35922517,35956628,36301028,36530798,36636747,36671010,36736882,36749077,36807577,36988964,37009827,37630995,37905397,37983147,38234615,38472757,38529097,39013775,39115744,39387668,40139728,40173490,40248531,40455637,40670197,40989877,40994942,41026595,41067050,41092388,41301820,41332874,41464537,41505747,41737695,41777737,41881561,41903438,42082175,42139861,42903961,42956798,43004617,43128548,43254997,43406078,43553077,43615175,43756531,44005212,44051631,44383561,44470095,44520208,44527957,44597822,44677851,44931635,44990547,45042068,45157194,45162095,45193237,45333961,45337982,45706057,45881538,45967731,46074542,46346137,46490072,46499108,46794697,46816530,46839157,46927861,47279797,47343335,47434768,47653827,47799061,47839268,48012361,48161015,48208188,48307957,48349897,48396308,48407342,48730148,48765337,48836571,49051861,49231914,49280460,49458651,49559918,49562184,49733017,49871967,49937632,50085234,50275598,50316757,50498610,50505764,50739224,50884297,50921557,51069877,51129662,51271502,51282195,51413198,51735964,52075861,52301331,52338210,52421461,52481260,52565824,52659097,52681982,52826677,53350837,53364114,53560175,53731861,53812964,53865184,53917962,54041461,54078062,54193561,54194514,54253897,54264344,54361364,54403477,54428099,54433177,54639061,54701008,54783961,54799508,54841417,54870037,55207861,55263157,55345561,55356495,55534083,55757457,55827424,55955797,56083643,56145182,56179836,56259061,56437988,56641535,56670937,56788117,56812002,57081627,57150997,57390700,57411061,57474457,57505262,57681097,57721561,57775064,57787107,57793218,57821461,57834035,57860917,57910478,58069268,58110361,58138775,58257817,58314398,58418197,58504777,58521877,58606297,58719764,58956361,59002600,59031061,59046928,59060437,59091387,59136552,59146837,59251838,59369108,59377561,59539957,59701237,59712217,59766037,59917118,59963317,60198217,60314558,60340964,60341461,60360815,60435061,60453961,60477397,60524917,60573272,60598332,60842462,61047387,61236878,61538634,61612971,61891358,61894535,61954964,62034531,62124095,62170108,62250027,62509330,62671982,62801582,62805852,62931038,62977512,63454868,63475935,64095764,64188050,64272210,64358187,64426947,64600862,64825395,64996947,65939735,66329828,66371918,66377925,66427794,66497342,66528621,66712811,67204115,67246862,67388708,67707664,67969842,68144931,68557024,68794175,68801450,68853038,68868840,69147088,69400842,69586142,69620883,69659015,69766530,69811988,69829358,70071998,70294424,70546148,70803120,70849701,70860308,71396222,71407895,71515742,71556495,71673944,71785707,72432978,72584942,72793123,72947348,73049495,73348775,73438603,73460096,73738904,73905335,73908520,74049514,74107175,74273442,74417632,74504228,74548914,74803838,74955867,75011196,75523328,75609863,75722558,76171122,76205543,76292078,76326928,76855947,76921935,77025660,77126652,77288468,77420318,77477445,77790474,78313748,78382923,78534158,78536984,78755198,78865502,79081227,79127682,79233764,79414862,79653510,79740771,79743764,80119490,80177918,80316215,80394638,80470642,80584664,80630891,80633187,80644938,81041342,81101067,81255758,81867058,81877028,82050064,82160704,82459699,82553010,82561740,82620050,82642608,82887908,82956267,83147085,83412095,83590818,83604435,83694308,83719836,83783822,84441147,84590891,84608078,84710462,84963744,85384347,85459175,85689474,85828731,85867794,86228942,86727902,86799764,87297764,87321902,87484595,87659394,87715022,87744291,88018530,88048472,88056544,88065856,88108691,88118735,88203182,88300382,88354107,88397438,88604467,88686402,88690224,88814440,88882323,88928610,89178064,89233175,89913635,90114171,90657747,90662948,90743667,90858515,90858911,91154708,91230839,91418072,91495175,91611662,91978862,92135828,92306322,92430792,92972934,93107735,93335342,93868862,93886432,93888627,94103384,94185764,94857184,94896298,95093582,95442584,95584212,95865998,95972735,96036062,96143388,96290078,96337491,96379458,96458702,97089764,97705022,97789731,97955348,98210895,98758958,98780504,98811251,98839022,98984625,99054531,99063612,99074088,99105428,99144060,99365307,99538971,99710222,99776502,99916245,...,897195253833315698515420205625874783032011310390692617762138684922491035635387915687118352241516985241831906165844665962417885622153726904100278356275817941733709101834395819934092372389585562474014449182380018720698180584175790582035293993342261162594724882668656742966888558865763520491349569533035615345055318023141877650353377904692263129370627874120320498590327666665764998643490060335038538470060563324584812452423302283765389844908114352323354058117017546064863399599633629525517512298863828525496846396770670823272226371781675392926089131725693208780145949339367812557696903506394239658759273765157770514403563549696235114859869911372340481778770593910604237154696064095358015718155689539943287353640130848274865059816412532740551289751831959804811476344770664247382287919461096396862538508873072408728962541455543389911385250834929224666321777201893421628370176378770370528652284064753277262911529439046374480798377913305474335302962334355541698521118353440666930838105837368013892791181210666694967035309676251772467509990193303875439084802332909007283040415351426598998456355806278003631446429606182111620150887971814267378684664445670422928682680187320624495530236100535089849954586935049203323113788065278588167698508354414348313370803774995772395612198997882261674969409974643431691209082560233373696307444370203131447600390188931235055620633167825903668053927319238438614104147590867981687811900476397460158179530312267720528074157110383661147517600327830991940263546679829772903396896997441299497164100443174700758361306838330552589712865650786695964993384010009735082933385012364548300745601317329712630452146186276528718916757325293582400173856966879754576797395644329418318503463312075669151492085935965444282134759762681597614324977862815673533957500214116765255069766975812820295380861335841357541430001496240159124921147946733386688857973240920378959014198153974104888691490971132237772385634027790840912392943206736357160588994990434943326236091908816980471313098799789537112608132136944101155017489139761397739870564117619495721446723751521170887957192871098150217252963889752759762835633838043384172245744011449985769303594417637845488462248641917562892217789302815624405946235953882334529299189293318009888065310961426731109266069459945144427761287919343999197167845154447193052079345709013329021715380361521619045441820792701723407137252001901118766498703054023768919844119180446857808829475438661996953763265628826586660472116073673333020932756516}
15563  3264418515905507716397175243015623986904064094580428107355126039: {62236,544285,653142,777550,885837,933060,995264,1119672,1259631,1320985,1585182,1880461,2406685,2828462,2888022,3114093,3151981,3645085,4040660,4374102,4502830,4642573,4726585,4786628,4848792,5015221,5052477,5403396,5454891,5671902,6400261,6838040,6995461,7498585,7692795,7856662,8205648,8266285,8974606,8989813,8998302,9143230,9170517,9231354,9337622,9635941,9715917,9919542,10054957,10104685,10345837,10532397,10677433,10971876,11075637,11422635,12089785,12125622,12184144,12215413,12429957,12842590,12851485,12970173,13231022,13339460,13446037,13598375,13707162,13765630,13838821,13916185,13959193,14507742,14921582,15130585,15282205,15326533,15340676,15411108,15421782,16007352,16318050,16518756,16628281,16688893,16699422,16727493,16747933,16994253,17166061,17400685,17405920,17450590,17551705,17806628,17888377,18008271,18069502,18156702,18271958,18306205,18338646,18421177,18516157,18628813,18901460,19120557,19190677,19201993,19210285,19267381,19426250,19581660,19914357,19998776,20563705,20713885,20772181,20873077,20880822,20887104,20940708,21062046,21180061,21464185,21481213,21967446,22021653,22280342,22498623,22546317,22681752,23052342,23311500,23497992,23566477,23843893,24156985,24357781,24381997,24636333,24676446,24764206,24856662,24865600,25200685,25251908,25438040,25516971,25581061,25594436,25757022,25935573,25961144,25969093,26435241,26612590,26784075,27040693,27282205,27371737,27429206,27450553,27451736,27487533,27522901,27524830,27973800,28083541,28092637,28242742,28260597,28300117,28569680,28617795,28785421,28988382,29206287,29227342,29635117,29831737,29838720,30052381,30056853,30094585,30240822,30257230,30269437,30272638,30342553,30525648,30823437,30883203,30979705,31270933,31304413,31470525,31588077,31628197,31716205,31827968,31829060,31863385,31935108,32140890,32273461,32604573,32607157,32697188,32730937,32738646,32858157,33029796,33396493,33568560,33764461,34029661,34186244,34226276,34283616,34341354,34453333,34505785,34582873,34796830,35122262,35237485,35249293,35540942,35806464,35864797,36113502,36308676,36352822,36385653,36563480,36635997,37175646,37190557,37351822,37602037,37764630,38059446,38136397,38194872,38236062,38362957,38569068,38630973,38667961,38955182,38967422,39184580,39224557,39262597,39318430,39870813,40094773,40257877,40282272,40620985,40678813,41122030,41133915,41406942,41505422,41756196,42284982,42334293,42607237,42626293,42698708,42969231,43366911,43553235,43557933,43630942,43695428,43754126,43876176,44045877,44231077,44396821,44720590,44945785,44977861,45021373,45211993,45317556,45376285,45995096,46236205,46454782,46456784,47021496,47132036,47182116,47202661,47425453,47481301,47532397,47863382,47869981,48315277,48638253,48745182,48791221,48848996,48877797,48894680,49179757,49234585,49236997,49346436,49360698,49833813,49920637,50019877,50174660,50484478,50515222,50548557,50553181,50644196,51365485,51403801,51627275,51666062,51744483,52139461,52208733,52263882,52266253,52538917,52744957,52899183,52948606,52984933,53001613,53031262,53152653,53664708,53910685,53934942,54451542,54796197,54838093,55006515,55105323,55340996,55483446,55548013,55579357,55650260,55777657,56302585,56517142,57648373,58096957,58112590,58123885,58524862,58673616,58735508,59017717,59047693,59081502,59116021,59244206,59293460,59570468,59632942,59799085,59987396,59997157,60209592,60260235,60428246,60495385,60503702,60654793,60912685,61175384,61290308,61492413,61507621,61600575,61638582,61952730,61999311,62192341,62422040,62543461,62714701,62775193,62826062,62855157,63132205,63241237,63256237,63424030,63538436,63668398,63939517,64277584,64435197,64441753,64521541,64531141,64538518,64669955,64692822,65109117,65115428,65601575,65642552,65707280,65944868,66007818,66082912,66495956,66780312,66786062,66797641,66896733,67219582,67266205,67331480,67362157,67428157,67563102,67735791,67830430,67863373,67951705,68006973,68333206,68376260,68499385,68649502,68719861,68822307,68880697,69111813,69735108,69748662,69784280,69861721,70011481,70071661,70224795,70511581,70547485,70915213,71054077,71152152,71688661,71738375,71758902,71793806,71890616,71901721,72218830,72259352,72312282,72586585,72594462,72611013,73095222,73399705,73430293,73753250,73808660,73847871,73920690,74045444,74211385,74339877,74343276,74391637,74614333,74646421,74800318,74906448,75127851,75413397,75426205,75678998,75716590,75747915,75749336,75758646,76108836,76526461,76669177,76694493,76907253,77026702,77042413,77049476,77057624,77066137,77119797,77443705,77603946,77712635,78030806,78507315,78721890,78788516,78848736,78971737,79022973,79238233,79318585,79415726,79419637,79716766,79949173,79990813,80046171,80119705,80719446,80797776,80876943,81054793,81117093,81291771,81344461,81396516,81489157,81542046,82030213,82051512,82150628,82199262,82340461,82370317,82418557,82625917,82665061,82712708,82912285,83000036,83466302,83512261,83677177,83741136,83970016,84217773,84235885,84269754,84481078,84634580,84656982,84773401,84802357,85218003,85696280,85711693,85810916,85902596,86086050,86142661,86257893,86432941,86433860,86451517,86662596,86689827,86865717,87001213,87103902,87264985,87310606,87471597,87667717,87868030,88079646,88144537,88179301,88182685,88263397,88313558,88450582,88503900,88570392,88575385,88704828,88877757,88971577,89028662,89053662,89592430,89658901,89875677,90011797,90471837,90511446,90621253,90626456,90859908,90897498,91079821,91173193,91184185,91209326,91263693,91568893,91663502,91712221,91825120,91855317,92059583,92173630,92307951,92385650,92410573,92534456,92686261,92827844,92837037,92932446,93022040,93130285,93255162,93591877,93763995,93778597,93913657,94007973,94202373,94208778,94392958,94396557,94404160,94466268,94481677,94885561,94903261,95119381,95171677,95182302,95408660,95714276,95913662,96143646,96211993,96282075,96408315,96577304,96610585,96901293,97057102,97240573,97819862,97892185,98171230,98516822,98618917,98841061,99031256,99042205,99398552,99494742,99557877,99641691,99679705,99746013,99941156,...,1345792880749973547773130308438812174548016965586038926643208027383736553453081873530677528362275477862747859248766998943626828433230590356150417534413726912600563652751593729901138558584378343711021673773570028081047270876263685873052940990013391743892087324002985114450332838298645280737024354299553423017582977034712816475530066857038394694055941811180480747885491499998647497965235090502557807705090844986877218678634953425648084767362171528485031087175526319097295099399450444288276268448295742788245269595156006234908339557672513089389133697588539813170218924009051718836545355259591359488138910647736655771605345324544352672289804867058510722668155890865906355732044096143037023577233534309914931030460196272412297589724618799110826934627747939707217214517155996371073431879191644595293807763309608613093443812183315084867077876252393836999482665802840132442555264568155555792978426097129915894367294158569561721197566869958211502954443501533312547781677530161000396257158756052020839186771816000042450552964514377658701264985289955813158627203499363510924560623027139898497684533709417005447169644409273167430226331957721401068026996668505634393024020280980936743295354150802634774931880402573804984670682097917882251547762531621522470056205662493658593418298496823392512454114961965147536813623840350060544461166555304697171400585283396852583430949751738855502080890978857657921156221386301972531717850714596190237269295468401580792111235665575491721276400491746487910395320019744659355095345496161949245746150664762051137541960257495828884569298476180043947490076015014602624400077518546822451118401975994568945678219279414793078375135987940373600260785450319631865196093466494127477755194968113503727238128903948166423202139644022396421487466794223510300936250321175147882604650463719230443071292003762036312145002244360238687381721920100080033286959861380568438521297230961157333037236456698356658578451041686261368589414810104535740883492485652414989354137863225470706969648199684305668912198205416151732526233709642096609805846176429243582170085627281756331935789306647225325879445834629139644253450757065076258368616017174978653955391626456768232693372962876344338326683954223436608919353930823501793948783939977014832097966442140096663899104189917716641641931879015998795751767731670789578119018563519993532573070542282428568162731189052585110705878002851678149748054581035653379766178770670286713244213157992995430644898443239879990708174110509999531399134774}
15564  3278913114728227805744914993199061144755833199533454918502313504: {77795,93354,202163,342122,357443,574499,822083,870856,979713,1038299,1100003,1166325,1181116,1244080,1399590,1492896,1500299,1592483,1679508,1745963,2113499,2113576,2327363,2377773,2510363,2662643,2754194,2784323,2936243,3123122,3572123,3843563,3850696,3933899,4152124,4234499,4242693,4332033,4474403,4593074,5042123,5050825,5131499,5280299,5507114,5832136,5983285,6060990,6465056,6551723,6561153,6698603,6736636,6754245,6903899,6991763,7143314,7179942,7204528,7273188,7342499,7400843,7562536,7575683,8047274,8105094,8214299,8507853,8547550,8947634,9078899,9164963,9222299,9565643,10021643,10078499,10257060,10661126,10871123,10940864,11012003,11124563,11769299,11784993,11804594,11964683,11997736,12131843,12159122,12187499,12227356,12308472,12935723,12954556,13042922,13226056,13293899,13348883,13461909,13497453,13705499,13714845,13847031,13923122,14006433,14043196,14169803,14449514,14629168,14740163,14767516,14848403,14879313,14983523,15230180,15323954,15387683,15950483,16137299,16167496,16457814,16573276,16615883,16674325,16748363,17293564,17460299,17498929,17539043,17722499,17753234,18188433,18276216,18322523,18815003,19175845,19263885,19343656,19407299,19846533,20009190,20324714,20548144,20560743,20562376,20648445,20856923,20882123,21008003,21343136,21344234,21484523,21757400,21759083,21761613,21933299,22025008,22258285,22265896,22303324,22305299,22354763,22382373,22659004,22716001,23011014,23043899,23116662,23117363,23132673,23626825,23848043,23870354,23969123,24011028,24020269,24204722,24208936,24451528,24477075,24571523,24705194,24778134,24787163,24998470,25049133,25370474,25494076,25572299,25619603,25643243,25690499,26108880,26175885,26325323,26552476,26558963,26709942,26815043,26977499,27093299,27104253,27188114,27235053,27255083,27407937,27439499,27507969,27516722,27841096,27849472,27920944,28082728,28126499,28335722,28352190,28421963,28761203,28864693,28873883,29139375,29289928,29362204,29372490,29476274,29638634,29812499,29967563,29998164,30061756,30144299,30210443,30242336,30474299,30736456,31020299,31082000,31321233,31330656,31345499,31388723,31411062,31518203,31564885,31593069,31776299,31797550,31990499,31993045,32451430,32848444,32881403,32901928,32951169,32986523,33142216,33174122,33258899,33420513,33613043,34022628,34191299,34284434,34293899,34314670,34342696,34437203,34578513,34580764,34844483,34967250,35147843,35246988,35712100,35749163,36014954,36165803,36244763,36343283,36650044,36891299,36988499,37014669,37146309,37240283,37284993,37298400,37336763,37573034,37680796,37797083,37877862,37911443,38044499,38157060,38271683,38328299,38391654,38635533,38651176,38941716,39224363,39445499,39482243,39720299,39756803,39784960,39786325,39883154,39918885,40075804,40245709,40321096,40480163,40587563,40649686,40676843,40700864,40871485,41014283,41097916,41143809,41177604,41287245,41418899,41707922,41853899,41905763,41940299,41960700,42117436,42146843,42364113,42454499,42462122,42580144,42708899,42732805,42782845,42854520,42927923,43011803,43262243,43328723,43378499,43472764,43482573,43511954,43651528,43708499,43810876,43841013,43872299,43904963,44039728,44165123,44758080,44870003,44964923,45075299,45200963,45361233,45385845,45408957,45543899,45704350,45711488,45729323,45788472,45821603,45852299,46005299,46354163,46802843,46950803,47200499,47389883,47640722,47741952,47743590,47807483,47902662,47931314,48035003,48105683,48151336,48211335,48411568,48514204,48847942,48847996,48980725,49045782,49060643,49107969,49437299,49463963,49544694,49567528,49662923,49742003,49806122,49833899,49899299,50184683,50352840,50377043,50745928,50893643,50926496,50981416,51079283,51231722,51263123,51279366,51339414,51425424,51507964,51512031,51565523,51625403,51851123,52120499,52195245,52221074,52442723,52465499,52544963,52578899,52635299,52683393,53063474,53101163,53161084,53242499,53296499,53311413,53371763,53373385,53403899,53528461,53709696,54031499,54051923,54062123,54170253,54204083,54384299,54463014,54529233,54619285,54823499,54845220,54947363,55032323,55146794,55209256,55218803,55365683,55474499,55608899,55674928,55696874,55759043,55763469,55898243,55975643,56027733,56043899,56195603,56242886,56379976,56445724,56517674,56563523,56646945,56714003,56790122,56799803,56892299,57028883,57089169,57292308,57354093,57437233,57468722,57493870,57535403,57570083,57618299,57638843,57700043,57733763,57822548,57833723,57840323,57853602,57873203,57899363,57970643,58070980,58077244,58122803,58181761,58276403,58324499,58430843,58432773,58451133,58471499,58488803,58501568,58540283,58723499,58727836,58776870,58846043,58915045,58969403,58977645,59044163,59049083,59073563,59390963,59395283,59459123,59517083,59557523,59601083,59639843,59647499,59658923,59703899,59729603,59751323,59811299,59895299,59921123,59933843,59949563,59989499,60013403,60098483,60122603,60193499,60205499,60233483,60273299,60279683,60347003,60356123,60357923,60408203,60423408,60426299,60466499,60504299,60549323,60550499,60551243,60556043,60557843,61061245,61118350,61683045,61726514,62110413,62258133,62634294,62695328,62718325,62904289,62909488,63156074,63226933,63305245,63414122,63427473,64048062,64056722,64324117,64440554,64851004,64993576,65170396,65446413,65543142,65631189,65795248,65814264,66280669,66445084,66966314,67080885,67398076,67425421,67588754,67836722,67976334,68700074,68992644,69176245,69562825,69611644,69682173,69685176,70284722,70526354,70532244,70698054,70773174,70870204,71552944,71795073,71845034,71913256,72602056,73061596,73117773,73273494,73342020,73419385,73473764,73498154,73615154,73977928,74019654,74041047,74116825,74463085,74561377,74984245,75261990,75726717,75772833,75810794,75966294,76469230,76612885,76945514,77058194,77499093,78027550,78231488,78395823,78775336,78842413,79298149,79422909,79423045,79546893,80279456,80346980,80497062,80902413,80911274,80967649,81340394,81394285,81677313,81979754,81989884,82053190,82134100,82184776,82431085,82603640,82665748,82929074,83011494,83119945,83225169,83475390,83555474,83763122,83806876,84164350,84279722,84505141,84775713,85170901,85470325,85807922,85913596,86009234,86257096,86509994,86652349,86812156,86973733,87106154,87168885,87230350,87513062,87787293,88010424,88103262,88622253,88767122,88866309,88940190,89040416,89055914,89195644,89355702,89449413,89863270,89981094,90084136,90314388,90324190,90386474,90642369,90667922,90675964,90755553,91412114,91763076,91935462,92149084,92260825,92315629,92457873,92556805,92692274,92929095,92980144,92998216,93589394,93633060,93678314,93855722,94085761,94239093,94559594,94686670,94869536,95136045,95291053,95307654,95502597,95598122,95678536,96024722,96311845,96322030,96416376,96615914,96699794,96792616,96807777,96814684,97039233,97460296,97522621,97530674,97673142,98103722,98463828,98485645,98560920,98917302,99011727,99119836,99124368,99466034,99743934,99875264,99971053,...,2018689321124960321659695462658218261822025448379058389964812041075604830179622810296016292543413216794121788873150498415440242649845885534225626301620590368900845479127390594851707837876567515566532510660355042121570906314395528809579411485020087615838130986004477671675499257447967921105536531449330134526374465552069224713295100285557592041083912716770721121828237249997971246947852635753836711557636267480315828017952430138472127151043257292727546630763289478645942649099175666432414402672443614182367904392734009352362509336508769634083700546382809719755328386013577578254818032889387039232208365971604983657408017986816529008434707300587766084002233836298859533598066144214555535365850301464872396545690294408618446384586928198666240401941621909560825821775733994556610147818787466892940711644964412919640165718274972627300616814378590755499223998704260198663832896852233333689467639145694873841550941237854342581796350304937317254431665252299968821672516295241500594385738134078031258780157724000063675829446771566488051897477934933719737940805249045266386840934540709847746526800564125508170754466613909751145339497936582101602040495002758451589536030421471405114943031226203952162397820603860707477006023146876823377321643797432283705084308493740487890127447745235088768681172442947721305220435760525090816691749832957045757100877925095278875146424627608283253121336468286486881734332079452958797576776071894285355903943202602371188166853498363237581914600737619731865592980029616989032643018244242923868619225997143076706312940386243743326853947714270065921235114022521903936600116277820233676677602963991853418517328919122189617562703981910560400391178175479447797794140199741191216632792452170255590857193355922249634803209466033594632231200191335265451404375481762721823906975695578845664606938005643054468217503366540358031072582880150120049930439792070852657781945846441735999555854685047534987867676562529392052884122215156803611325238728478622484031206794838206060454472299526458503368297308124227598789350564463144914708769264643865373255128440922634497903683959970837988819168751943709466380176135597614387552924025762467980933087439685152349040059444314516507490025931335154913379030896235252690923175909965522248146949663210144995848656284876574962462897818523998193627651597506184367178527845279990298859605813423642852244096783578877666058817004277517224622081871553480069649268156005430069866319736989493145967347664859819986062261165764999297098702161}
15565  3293471563886408892690352893817420045276872884871106001206353040: {124472,140031,513183,761999,1088570,1306284,1476395,1555100,1771674,1849379,1866120,1990528,2099385,2222363,2239344,2519262,2641970,3170364,3369359,3760922,4131291,4684683,4813370,5103119,5190155,5605247,5656924,5776044,6228186,6303962,6617219,6889611,7290170,7336703,8081320,8260671,8267363,8420795,8748204,9005660,9091485,9285146,9453170,9573256,9697584,9756419,10030442,10104954,10395803,10498019,10714971,10769913,10806792,10909782,11059343,11343804,11572799,11883131,12070911,12157641,12800522,12821325,13421451,13676080,13990922,14146559,14997170,15284195,15385590,15601451,15713324,15890771,15991689,16193195,16411296,16532570,16925699,17505983,17553995,17706891,17775059,17949212,17979626,17992079,17996604,18238683,18286460,18341034,18459395,18462708,18675244,19037725,19271882,19319771,19431834,19482659,19564383,19691603,19839084,20109914,20209370,20287163,20691674,20716595,20884683,21064794,21182819,21354866,21395087,21461051,21551519,21616955,21674271,21882731,21943752,22151274,22679891,22845270,22985931,23215967,24179570,24251244,24360959,24368288,24430826,24572387,24686721,24859914,25478699,25628687,25685180,25702970,25940346,26462044,26629851,26678920,26892074,26894399,27196750,27414324,27531260,27596063,27677642,27832370,27851291,27879155,27918386,28323755,28608467,28789187,28999439,29015484,29259443,29843164,30013785,30049859,30221951,30232163,30261170,30487071,30564410,30607643,30653066,30681352,30822216,30843564,31387487,31867595,32014704,32016351,32124959,32611403,32636100,33037512,33190595,33256562,33377786,33398844,33454986,33495866,33819779,33988506,34332122,34516521,34674993,34801370,34811840,34901180,34909019,34988243,35103410,35280959,35613256,35772971,35776754,35805531,36016542,36139004,36307083,36313404,36543916,36574991,36612410,36677292,36702755,36842354,37032314,37057791,37167201,37257626,37497705,37577195,37606943,37802920,38055711,38141363,38195087,38241114,38327819,38381354,38403986,38420570,38534762,38535731,38852500,39163320,39755423,39828714,39997552,40064913,40554203,40594763,40782171,41060555,41078579,41127410,41275083,41427770,41544362,41746154,41761644,41774208,41881416,42124092,42132419,42360122,42503583,42528285,42928370,42962426,43225955,43371587,43429907,43934892,44043306,44058735,44214411,44402687,44438771,44457951,44560684,44608739,44640125,44997246,45092634,45363504,45812555,46104684,46244843,46401251,46549019,46623000,46995984,47100995,47116593,47132954,47171903,47538623,47577491,47641151,47687786,47696325,48308099,48313970,48655199,48677145,48715562,48763994,48764747,49272666,49332479,49352892,49528412,49713324,49731200,49761183,49953083,50094755,50401370,50503816,50531051,50840627,50876080,51033942,51162122,51171359,51188872,51372395,51426651,51472005,51514044,51871146,51922288,51925667,51938186,52273091,52450875,52459871,52474763,52646795,52870482,53225180,53452943,53568150,54022431,54081386,54340955,54564410,54743474,54763595,54858412,54901106,54903472,54975066,55045802,55049660,55101791,55784963,55947600,56167082,56174651,56185274,56359551,56409419,56485484,56521194,56600234,56816793,56869379,57139360,57235590,57325007,57451307,57463403,57570842,57587481,57650699,57976764,58121531,58412574,58454684,59270234,59636867,59663474,59677440,59733491,59824731,60104762,60113706,60189170,60481644,60514460,60538874,60545276,60642755,60685106,60974529,61030367,61051296,61059995,61309919,61353179,61619363,61646874,61766406,61959410,62541866,62561883,62608826,62712779,62924099,62941050,63176154,63256394,63432410,63526799,63655936,63658120,63693183,63726770,63870216,63947843,64281780,64384955,64546922,64730687,65209146,65214314,65267931,65394376,65461874,65477292,65716314,66059592,66070847,66451355,66792986,67137120,67528922,67790651,68059322,68134211,68372488,68452552,68556525,68567232,68682708,68906666,68928419,69011570,69165746,69509087,69593660,69748211,70244524,70381139,70474970,70498586,70557155,70905731,71081884,71461083,71612928,71615385,71729594,71853993,71896971,71905247,71911139,71911679,72007823,72021323,72227004,72240731,72278185,72369299,72588725,72596555,72617352,72668171,72705644,72771306,73126960,73271913,73271994,73386239,73409795,73568673,74317041,74351292,74381114,74401343,74656187,74703644,74709183,74757371,74839859,75204074,75474959,75529260,76118892,76272794,76389744,76472124,76725914,76847583,76858463,76919049,77009121,77138136,77261946,77335922,77910364,77934844,78016979,78080747,78331611,78369160,78449114,78525194,78571151,78636860,78823619,79542779,79595211,79741626,80189546,80360747,80515754,80564544,80653571,81063755,81241970,81357626,81373439,81462995,81694521,82069151,82244060,82267830,82381043,82720191,82811963,82813884,83010844,83056355,83512392,83545311,83718719,84247595,84364329,84569964,84668586,84693539,84722963,84776511,85185183,85214474,85252586,85277759,85397416,85626059,85911299,85938462,86203083,86240805,86473343,86697503,86733822,86780403,87014555,87106470,87115866,87261884,87390856,87508252,87752352,88091754,88165305,88385087,88462154,88587755,88793642,88886771,89342363,89441180,89891570,89955722,90042746,90175667,90423986,90440363,90537937,90590651,90635112,90752570,91326995,91677525,91842205,91868879,91944191,91990192,92472410,92589771,92909564,92913568,93859571,93951441,94042992,94108223,94172687,94264072,94364232,94405322,94734111,94850906,94915619,94962602,95064794,95121183,95132387,95174243,95184143,95726764,95739962,95899139,96072093,96085083,96134363,96630554,96660831,96764483,97276506,97490364,97582442,97648811,97697992,97755594,97789360,98314713,98359514,98469170,98473994,98494811,98692872,98721396,98766479,99029171,99320831,99667626,99801119,99841274,...,2691585761499947095546260616877624349096033931172077853286416054767473106906163747061355056724550955725495718497533997887253656866461180712300835068827453825201127305503187459802277117168756687422043347547140056162094541752527371746105881980026783487784174648005970228900665676597290561474048708599106846035165954069425632951060133714076789388111883622360961495770982999997294995930470181005115615410181689973754437357269906851296169534724343056970062174351052638194590198798900888576552536896591485576490539190312012469816679115345026178778267395177079626340437848018103437673090710519182718976277821295473311543210690649088705344579609734117021445336311781731812711464088192286074047154467068619829862060920392544824595179449237598221653869255495879414434429034311992742146863758383289190587615526619217226186887624366630169734155752504787673998965331605680264885110529136311111585956852194259831788734588317139123442395133739916423005908887003066625095563355060322000792514317512104041678373543632000084901105929028755317402529970579911626317254406998727021849121246054279796995369067418834010894339288818546334860452663915442802136053993337011268786048040561961873486590708301605269549863760805147609969341364195835764503095525063243044940112411324987317186836596993646785024908229923930295073627247680700121088922333110609394342801170566793705166861899503477711004161781957715315842312442772603945063435701429192380474538590936803161584222471331150983442552800983492975820790640039489318710190690992323898491492301329524102275083920514991657769138596952360087894980152030029205248800155037093644902236803951989137891356438558829586156750271975880747200521570900639263730392186932988254955510389936227007454476257807896332846404279288044792842974933588447020601872500642350295765209300927438460886142584007524072624290004488720477374763443840200160066573919722761136877042594461922314666074472913396713317156902083372522737178829620209071481766984971304829978708275726450941413939296399368611337824396410832303465052467419284193219611692352858487164340171254563512663871578613294450651758891669258279288506901514130152516737232034349957307910783252913536465386745925752688676653367908446873217838707861647003587897567879954029664195932884280193327798208379835433283283863758031997591503535463341579156238037127039987065146141084564857136325462378105170221411756005703356299496109162071306759532357541340573426488426315985990861289796886479759981416348221019999062798269548}
15566  3308094142424257954171690577663172208810638760679333827079218541: {108913,155590,186708,404326,684244,714886,1130989,1148998,1632855,1644166,1741712,1943875,1959426,1960753,2076598,2144353,2200006,2332650,2362232,2488160,2657511,2799180,2966989,2985792,3000598,3184966,3359016,3491926,3778893,3962955,4226998,4227152,4235053,4654726,4684513,4755546,5020726,5310733,5325286,5508388,5568646,5578033,5641383,5666989,5755873,5872486,6246244,7071155,7144246,7220055,7687126,7701392,7867798,8304248,8376599,8468998,8485386,8664066,8948806,9186148,9252193,9342279,9455943,9595489,10084246,10101650,10262998,10560598,10935255,10957153,11014228,11257075,11378893,11631073,11664272,11966570,12121980,12216973,12550189,12930112,12965089,13103446,13122306,13397206,13473272,13508490,13707373,13807798,13927719,13983526,14179755,14286628,14359884,14409056,14546376,14684998,14688013,14801686,15012589,15045663,15125072,15151366,15157431,15416689,15738673,16094548,16139533,16210188,16299373,16364673,16428598,17015706,17095100,17895268,18157798,18329926,18444598,19131286,19200783,19641655,20043286,20125489,20156998,20514120,20582113,20885089,20986383,21322252,21742246,21881728,21936433,22024006,22249126,22436515,22495755,22858075,23078385,23120689,23344055,23486989,23538598,23569986,23609188,23929366,23995472,24263686,24286513,24318244,24374998,24454712,24503053,24616944,24798855,25646989,25717873,25871446,25909112,26085844,26352589,26452112,26587798,26697766,26846183,26923818,26969439,26994906,27120433,27410998,27429690,27466573,27511551,27694062,27742189,27846244,28012866,28086392,28153453,28339606,28899028,28907823,29147751,29258336,29480326,29535032,29696806,29758626,29839153,29967046,30164871,30170893,30314055,30460360,30647908,30775366,31024993,31037511,31161599,31415089,31479853,31597191,31900966,31939039,32032299,32106475,32274598,32315233,32334992,32378989,32696689,32915628,33077555,33146552,33226911,33231766,33264013,33348650,33496726,33638989,34112819,34196593,34267905,34319713,34414075,34503853,34587128,34870189,34920598,34997858,35078086,35414833,35444998,35506468,35774689,36269355,36376866,36552432,36645046,36646239,37246189,37289871,37303955,37630006,37879393,38164333,38351690,38447473,38527770,38554455,38687312,38728813,38814598,38910519,39451873,39693066,40018380,40338111,40594189,40649428,40795125,41096288,41121486,41124752,41296890,41516463,41713846,41748555,41764246,41860813,41877579,41964493,42016006,42376333,42478573,42686272,42688468,42732913,42969046,43136113,43186189,43435489,43514800,43518166,43523226,43626475,43866598,44050016,44123953,44172589,44190839,44221153,44516570,44531792,44606648,44610598,44709526,44764746,44790263,44893489,45082993,45173755,45318008,45318253,45391755,45411853,45432002,45679895,45846615,45979599,46022028,46087798,46233324,46234726,46265346,47003233,47223373,47253650,47696086,47740708,47938246,48022056,48040538,48409444,48417872,48565625,48631153,48903056,48954150,49143046,49410388,49446193,49556268,49574326,49685089,49842913,49884843,49921393,49996940,50066679,50098266,50182479,50243799,50740948,50803213,50840689,50982759,50988152,51144598,51239206,51248173,51286486,51380998,51498183,51754189,52202055,52217760,52280689,52315213,52351770,52650646,52655115,52656493,52824433,53104952,53117926,53414113,53419884,53446189,53630086,53665131,53731633,53887693,53949613,53954998,54024813,54072589,54186598,54208506,54376228,54470106,54510166,54523489,54815874,54878998,54918615,54929713,55015938,55033444,55263531,55485553,55548471,55620013,55682192,55698944,55700855,55841888,55886439,56063713,56165089,56165456,56252998,56388973,56437933,56559073,56671444,56704380,56749153,56843926,56911693,57115489,57220079,57226189,57361671,57522406,57572031,57605979,57630855,57729386,57747766,57802143,57852589,57950689,58122733,58160173,58215793,58278750,58570033,58579856,58603873,58724408,58744980,58952548,59062189,59261773,59277268,59342989,59356273,59408689,59534689,59624998,59664973,59743071,59825927,59895983,59909233,59935126,59996328,60003553,60021553,60123512,60207853,60250189,60276973,60288598,60338893,60372589,60420886,60481453,60484672,60498913,60520333,60530989,60542689,60554353,60565873,60568033,60948598,61472912,61691115,61910515,62040598,62141655,62164000,62316543,62619231,62642466,62661312,62690998,62777446,62822124,63036406,63129770,63186138,63540183,63552598,63595100,63980998,63986090,64392555,64443639,64902860,65696888,65762806,65803856,65902338,65973046,66064959,66284432,66348244,66517798,66531475,66841026,67226086,67495869,67638951,68045256,68382598,68568868,68573015,68587798,68629340,68685392,68760263,68812075,68874406,69157026,69161528,69688966,69934500,70295686,70493976,70606855,70699431,71424200,71498326,71531679,72029908,72331606,72470955,72489526,72686566,73068355,73073343,73145991,73300088,73782598,73908999,73976998,74029338,74292618,74480566,74569986,74596800,74673526,74722739,75146068,75361592,75594166,75602055,75643075,75681595,75755724,75822886,76019411,76088998,76314120,76466999,76543366,76550913,76656598,76743183,76783308,77271066,77302352,77806719,77883432,77907279,78448726,78890998,78964486,79305723,79440598,79513606,79569920,79572650,79766308,79837770,80151608,80352225,80491418,80642192,80960326,81122079,81175126,81299372,81353686,81401728,81742970,81846615,82028566,82115211,82195832,82287618,82351659,82355208,82462599,82481063,82568703,82574490,82837798,83415844,83707798,83811526,83880598,83921400,84234872,84250623,84277911,84293686,84728226,84781791,84900351,84908998,84924244,85160288,85417798,85465610,85485743,85565690,85709040,85853385,85855846,86023606,86356263,86524486,86657446,86756998,86945528,86965146,86992075,87023908,87303056,87416998,87618861,87621752,87682026,87744598,87805655,87809926,88079456,88117991,88131439,88330246,88627343,88852355,88905351,89495211,89516160,89740006,89929846,90150598,90157143,90170559,90283755,90401926,90722466,90771690,90808311,90817914,90882055,91027659,91087798,91408700,91422976,91458646,91576944,91643206,91704598,92010598,92470311,92649609,92708326,92939115,93379555,93605686,93812799,93901606,93913239,94400998,94411575,94764231,94779766,94884591,95148615,95191007,95281444,95483904,95487180,95590155,95614966,95805324,95862628,96070006,96211366,96302672,96422670,96820383,96823136,96846743,97028408,97387955,97418555,97695884,97695992,97813719,97821471,97961450,98091564,98121286,98192811,98215938,98296075,98574471,98874598,98927926,99089388,99135056,99325846,99484006,99612244,99667798,99798598,...,4037378642249920643319390925316436523644050896758116779929624082151209660359245620592032585086826433588243577746300996830880485299691771068451252603241180737801690958254781189703415675753135031133065021320710084243141812628791057619158822970040175231676261972008955343350998514895935842211073062898660269052748931104138449426590200571115184082167825433541442243656474499995942493895705271507673423115272534960631656035904860276944254302086514585455093261526578957291885298198351332864828805344887228364735808785468018704725018673017539268167401092765619439510656772027155156509636065778774078464416731943209967314816035973633058016869414601175532168004467672597719067196132288429111070731700602929744793091380588817236892769173856397332480803883243819121651643551467989113220295637574933785881423289928825839280331436549945254601233628757181510998447997408520397327665793704466667378935278291389747683101882475708685163592700609874634508863330504599937643345032590483001188771476268156062517560315448000127351658893543132976103794955869867439475881610498090532773681869081419695493053601128251016341508933227819502290678995873164203204080990005516903179072060842942810229886062452407904324795641207721414954012046293753646754643287594864567410168616987480975780254895490470177537362344885895442610440871521050181633383499665914091514201755850190557750292849255216566506242672936572973763468664158905917595153552143788570711807886405204742376333706996726475163829201475239463731185960059233978065286036488485847737238451994286153412625880772487486653707895428540131842470228045043807873200232555640467353355205927983706837034657838244379235125407963821120800782356350958895595588280399482382433265584904340511181714386711844499269606418932067189264462400382670530902808750963525443647813951391157691329213876011286108936435006733080716062145165760300240099860879584141705315563891692883471999111709370095069975735353125058784105768244430313607222650477456957244968062413589676412120908944599052917006736594616248455197578701128926289829417538529287730746510256881845268995807367919941675977638337503887418932760352271195228775105848051524935961866174879370304698080118888629033014980051862670309826758061792470505381846351819931044496293899326420289991697312569753149924925795637047996387255303195012368734357055690559980597719211626847285704488193567157755332117634008555034449244163743106960139298536312010860139732639473978986291934695329719639972124522331529998594197404322}
15567  3322781130595833523902968586331780844376908711001672468373959570: {233385,248944,280062,606489,855305,1026366,1072329,1523998,1723497,2066953,2177140,2466249,2612568,2626429,2939139,2952790,3110200,3114897,3300009,3498975,3543348,3698758,3732240,3981056,4198770,4444726,4478688,4500897,4777449,4953113,5038524,5237889,5283940,6071057,6340497,6340728,6738718,6885485,6982089,7133319,7266217,7521844,7531089,7807805,7987929,8262582,8352969,8670649,8808729,9369366,9626740,10057553,10206238,10380310,10716369,10904233,11210494,11313848,11482685,11530689,11552088,11789113,11801697,12285949,12456372,12607924,12703497,12728079,12996099,13234438,13423209,13767785,13779222,13962797,14126849,14580340,14673406,15126369,15142193,15152475,15394497,15840897,16162640,16521342,16534726,16752257,16841590,17496408,17858285,17949855,18011320,18182970,18425933,18570292,18906340,19146512,19195649,19395168,19512838,19655169,19683459,20060884,20095809,20118185,20209908,20262735,20652169,20688889,20711697,20791606,20975289,20996038,21209917,21368875,21397873,21429942,21539826,21613584,21819564,21823937,22027497,22118686,22202529,22369085,22670473,22687608,22727049,23145598,23392493,23766262,24141822,24315282,24575593,24642897,25267409,25469977,25523559,25601044,25642650,25843153,26652815,26842902,27236697,27352160,27494889,27666897,27981844,28090817,28293118,28476193,28696929,29003233,29273849,29511485,29515049,29994340,30064929,30235497,30263737,30277313,30397805,30568390,30771180,31202902,31426648,31781542,31846553,31974169,31983378,32386390,32607305,32613369,32613529,32822592,33036009,33065140,33282953,33373689,33622829,33851398,34179857,34807805,35011966,35107990,35307897,35354979,35413782,35550118,35874089,35894049,35896877,35898424,35959252,35984158,35993208,36123785,36172669,36395529,36477366,36562497,36572920,36682068,36918790,36925416,37350488,37414673,38075450,38276513,38309885,38528297,38540749,38543764,38639542,38807169,38863668,38965318,39010733,39030817,39128766,39383206,39653257,39678168,39881697,40046649,40219828,40385727,40418740,40492359,40574326,41116497,41144535,41383348,41433190,41541093,41769366,42019299,42129588,42365638,42509409,42709732,42790174,42873353,42922102,43103038,43233910,43250273,43348542,43429949,43672337,43765462,43887504,44220489,44302548,44383085,44444569,44545209,44614633,44637939,44950569,45163273,45223757,45234233,45359782,45690540,45911353,45971862,46163049,46425073,46431934,46439369,46466833,47851449,47975629,48359140,48411897,48500689,48502488,48721918,48736576,48861652,49144774,49192649,49373442,49719828,49847649,49870673,50022975,50245089,50811785,50957398,51257374,51370360,51383857,51405940,51880692,52127833,52380897,52496787,52552529,52608073,52617129,52924088,53167497,53259702,53357840,53360585,53784148,53788798,54393500,54565299,54828648,54967569,55012477,55062520,55192126,55355284,55664740,55702582,55758310,55836772,56182009,56445009,56647510,57216934,57484777,57527535,57578374,57791655,57998878,58030968,58034569,58112009,58221897,58518886,58792297,59063057,59539599,59675885,59686328,60027570,60099718,60443902,60464326,60511805,60516337,60522340,60974142,61128820,61188173,61215286,61306132,61362704,61644432,61682229,61687128,61762985,61945335,62015629,62496175,62570769,62646369,62774974,63024009,63099193,63426185,63735190,63923849,64029408,64032702,64137577,64249918,64346017,64453569,65222806,65272200,65277249,65280833,65284839,65799897,65941393,66075024,66381190,66513124,66652969,66665677,66755572,66774855,66797688,66909972,66915897,66991732,67064289,67147119,67639558,67970285,67977012,68148003,68348177,68664244,68791805,69033042,69131697,69349986,69352089,69398019,69602740,69623680,69766433,69802360,69818038,69976486,70090753,70132657,70206820,70561918,70839305,70880475,71226512,71408429,71544129,71545942,71553508,71611062,71907369,71921353,72033084,72060807,72278008,72457177,72614166,72626808,72940013,73087832,73149982,73224820,73354584,73405510,73431225,73684708,73690685,73705513,73714569,74064628,74096585,74115582,74334402,74342713,74361489,74515252,74613473,74995410,75147399,75154390,75213886,75453457,75605840,76077337,76111422,76282726,76390174,76482228,76655638,76669033,76716897,76762708,76807972,76841140,76858809,76929729,77069524,77071462,77071497,77511977,77679769,77705000,78326640,78527655,78661273,78975969,79155913,79440713,79493875,79510846,79657428,79676889,79728569,79995104,80129826,80371273,80445129,80932497,81108406,81128575,81189526,81279897,81312759,81564342,81705159,81765249,82090637,82121110,82157158,82223811,82254820,82318497,82505789,82523907,82550166,82855540,82935305,83088724,83288249,83492308,83523288,83548416,83762832,84248184,84264838,84379497,84720244,84899857,85007166,85056570,85116109,85265889,85483993,85711085,85786675,85856740,85924852,86283609,86451910,86594079,86621649,86743174,86859814,87418125,87869784,88086612,88117470,88428822,88805374,88877542,88900753,88915902,89121368,89217478,89280250,89301757,89437497,89902689,89994492,90037385,90138937,90185268,90361457,90432897,90631329,90727008,90828809,90832729,91422897,91625110,92209368,92236589,92489686,92802502,93031897,93060897,93098038,93246000,93932585,93938093,93963699,93991968,94036497,94166169,94201990,94233186,94265908,94343806,94554609,94694655,94779207,95077246,95154982,95282302,95328897,95375572,95392650,95699713,95971497,95979135,96616198,96627940,96654833,97226513,97310398,97354290,97431124,97527988,97529494,98545332,98551673,98644209,98644769,98664958,98705784,98780017,98853507,98959569,99051137,99056824,99426648,99462400,99522366,99707885,99776697,99816889,99906166,...,6056067963374880964979086387974654785466076345137175169894436123226814490538868430888048877630239650382365366619451495246320727949537656602676878904861771106702536437382171784555123513629702546699597531981065126364712718943186586428738234455060262847514392958013433015026497772343903763316609594347990403579123396656207674139885300856672776123251738150312163365484711749993913740843557907261510134672908802440947484053857290415416381453129771878182639892289868435937827947297526999297243208017330842547103713178202028057087528009526308902251101639148429159265985158040732734764454098668161117696625097914814950972224053960449587025304121901763298252006701508896578600794198432643666606097550904394617189637070883225855339153760784595998721205824865728682477465327201983669830443456362400678822134934893238758920497154824917881901850443135772266497671996112780595991498690556700001068402917437084621524652823713563027745389050914811951763294995756899906465017548885724501783157214402234093776340473172000191027488340314699464155692433804801159213822415747135799160522803622129543239580401692376524512263399841729253436018493809746304806121485008275354768608091264414215344829093678611856487193461811582122431018069440630470131964931392296851115252925481221463670382343235705266306043517328843163915661307281575272450075249498871137271302633775285836625439273882824849759364009404859460645202996238358876392730328215682856067711829607807113564500560495089712745743802212859195596778940088850967097929054732728771605857677991429230118938821158731229980561843142810197763705342067565711809800348833460701030032808891975560255551986757366568852688111945731681201173534526438343393382420599223573649898377356510766772571580067766748904409628398100783896693600574005796354213126445288165471720927086736536993820814016929163404652510099621074093217748640450360149791319376212557973345837539325207998667564055142604963603029687588176158652366645470410833975716185435867452093620384514618181363416898579375510104891924372682796368051693389434744126307793931596119765385322767903493711051879912513966457506255831128399140528406792843162658772077287403942799262319055457047120178332943549522470077794005464740137092688705758072769527729896566744440848989630434987545968854629724887388693455571994580882954792518553101535583535839970896578817440270928556732290350736632998176451012832551673866245614660440208947804468016290209598959210968479437902042994579459958186783497294997891296106483}
15568  3337532809870249688910363101670116987191869008359413063013501232: {217826,264367,311180,373416,420093,636607,808652,1100287,1368488,1429772,1539549,1562167,1654327,2261978,2285997,2297996,2571967,2721425,2937007,3265710,3288332,3483424,3663631,3887750,3918852,3921506,4115431,4153196,4288706,4295647,4400012,4429185,4665300,4724464,4976320,5315022,5548137,5598360,5933978,5971584,6001196,6298155,6347431,6369932,6524047,6604925,6667089,6718032,6964327,6983852,7052167,7402807,7557786,7925910,8453996,8454304,8470106,8966431,9224767,9309452,9369026,9402305,9511092,9899617,10041452,10081207,10108077,10421767,10621466,10650572,11016776,11137292,11156066,11282766,11333978,11511746,11744972,11772487,11940031,12033425,12107287,12190807,12393873,12492488,13352527,13599631,13764007,13846087,14054049,14142310,14255407,14288492,14440110,14825431,14987647,15230431,15309357,15374252,15402784,15570465,15735596,15759905,16608496,16753198,16815741,16937996,16970772,16991047,17328132,17897612,18225425,18372296,18504386,18684558,18794431,18911886,19190978,19335727,19851657,19950031,20168492,20203300,20525996,20668833,20862847,20938447,21121196,21240127,21840031,21870510,21914306,21989287,22010109,22028456,22361167,22514150,22757786,22805047,23172967,23212865,23262146,23328544,23632925,23685031,23933140,24243960,24433946,24626647,24782013,24802089,24913927,25076105,25100378,25262385,25342687,25627087,25698007,25839631,25860224,25930178,26206892,26244612,26543431,26794412,26946544,27016980,27274455,27414746,27498317,27615596,27855438,27929431,27967052,28066447,28271431,28359510,28407727,28573256,28719768,28818112,29092752,29269257,29369996,29376026,29603372,29821447,30025178,30091326,30250144,30302732,30314862,30615031,30833378,30942631,31073167,31187409,31398247,31411121,31477346,31494057,31785967,32001305,32043007,32107087,32144913,32189096,32235031,32279066,32309739,32420376,32598746,32681677,32729346,32857196,32996647,33178029,33810031,34031412,34190200,34304527,34718397,34977305,35520607,35649393,35696573,35790536,36212733,36315596,36472923,36531631,36659852,36707887,36825031,36889196,37000207,37290727,37492925,37694431,37746137,38094607,38262572,38401566,38463975,38547631,39273967,39283310,39495007,39769687,40086572,40250978,40264353,40313996,40475431,40743631,41028240,41116087,41164226,41331425,41432527,41770178,41798431,41902327,41954167,41972766,42439677,42468607,42644504,42723127,42925447,43484492,43575031,43673887,43763456,43872866,43919767,44048012,44406127,44454367,44498252,44550631,44873030,44949065,44991510,45122167,45590527,45716150,45852585,45868087,46156770,46188631,46241378,46308577,46415431,46640431,46688110,46804353,46863631,46973978,47077196,47139972,47218376,47435527,47672313,47858732,47867167,47975067,47990944,48179705,48375631,48527372,48573026,48579585,48636488,48749996,48909424,49006106,49078207,49118887,49200031,49233888,49481767,49597710,49680847,50274785,50523425,50777097,50949631,51208687,51293978,51435746,51608647,51729185,51742892,51818224,52140007,52171688,52225537,52485247,52517949,52655167,52661985,52705178,52890031,52904224,53055631,53120673,53175596,53284447,53325177,53387165,53395532,53692366,53847636,53938878,53976237,53989812,54072847,54103447,54240866,54315631,54405487,54465031,54716049,54821996,54845047,54859380,54902431,54933146,54987967,55023102,55268407,55378185,55378567,55388124,55405927,55484378,55514647,55692488,55989631,56025732,56172784,56293327,56306906,56318167,56658367,56679212,56846431,56961631,57113175,57186631,57339847,57510631,57573487,57717631,57758167,57798056,57815646,57858247,57959313,58072087,58258927,58295502,58349647,58420927,58447977,58473631,58516672,58560031,58693149,58960652,59070064,59074809,59114431,59186431,59393612,59417767,59456431,59494447,59517252,59544127,59674807,59678306,59753431,59807431,59910031,59929687,59934092,60151087,60329742,60341786,60385447,60401431,60448925,60479767,60483727,60498847,60502447,60509431,60525631,60540031,60572431,60582007,60587407,60628110,60861489,60920720,61077065,61295816,61550732,62049986,62075022,62149785,62323198,62654049,62830178,62959706,63194382,63243257,63548457,63801932,63878078,63951853,64064598,64185261,64212950,64257425,64383153,64549196,64630466,64654557,64669984,64757978,64850865,65022813,65393378,65648193,65831256,66155110,66293104,66453822,66463532,66528026,66697300,66993452,67230185,67277978,67991875,68039673,68225638,68393186,68535810,68639426,68828150,68957793,69007706,69174256,69194105,69580925,69647901,69740378,69795965,69841196,69995716,70156172,70829666,70889996,71012936,71549378,72538710,72753732,73082877,73104864,73290092,73292478,73717161,74060163,74492378,74579742,74607910,75260012,75652925,75758786,76328666,76411025,76436097,76632665,76703380,76886061,76894946,77055540,77108910,77374624,77457626,77629196,77821038,77981197,78903746,79386132,79889553,80036760,80676222,80683197,81188378,81262129,81298856,81590250,82192576,82242972,82249504,82593780,82788189,83032926,83141405,83427692,83444465,83497110,83528492,83553873,83637465,83721626,83739665,83755158,83928986,84032012,84116153,84752666,84957146,84971265,85372544,85376936,85465826,85825401,85830305,85938092,86272226,86367561,86372378,86674721,86870978,86998317,87003425,87029600,87036332,87046452,87252950,87733196,87758525,87778329,88100032,88247906,88345178,88381678,88442306,89033140,89063584,89213296,89221196,89419052,89441885,89529492,89580526,89786978,90041355,90149577,90165986,90258509,90347510,90636016,90636506,90665853,90696489,90783510,90823706,90864004,91359790,91461213,91531025,91693230,91822929,91959198,92044056,92105885,92175596,92466648,92469452,92530692,92580785,93144065,94006466,94162461,94446746,94507300,95392172,95481416,95602785,95876492,95953385,96002221,96009965,96044112,96049053,96051425,96081076,96336905,96374877,96818888,96835744,97131250,97262306,97806112,97834209,97908300,98286092,98820776,98849597,98892386,99112536,99148652,99356609,99370178,99571785,99685826,99769686,99842786,99993880,...,8074757284499841286638781850632873047288101793516233559859248164302419320718491241184065170173652867176487155492601993661760970599383542136902505206482361475603381916509562379406831351506270062266130042641420168486283625257582115238317645940080350463352523944017910686701997029791871684422146125797320538105497862208276898853180401142230368164335650867082884487312948999991884987791410543015346846230545069921263312071809720553888508604173029170910186523053157914583770596396702665729657610689774456729471617570936037409450037346035078536334802185531238879021313544054310313019272131557548156928833463886419934629632071947266116033738829202351064336008935345195438134392264576858222141463401205859489586182761177634473785538347712794664961607766487638243303287102935978226440591275149867571762846579857651678560662873099890509202467257514363021996895994817040794655331587408933334757870556582779495366203764951417370327185401219749269017726661009199875286690065180966002377542952536312125035120630896000254703317787086265952207589911739734878951763220996181065547363738162839390986107202256502032683017866455639004581357991746328406408161980011033806358144121685885620459772124904815808649591282415442829908024092587507293509286575189729134820337233974961951560509790980940355074724689771790885220881743042100363266766999331828183028403511700381115500585698510433133012485345873145947526937328317811835190307104287577141423615772810409484752667413993452950327658402950478927462371920118467956130572072976971695474476903988572306825251761544974973307415790857080263684940456090087615746400465111280934706710411855967413674069315676488758470250815927642241601564712701917791191176560798964764866531169808681022363428773423688998539212837864134378528924800765341061805617501927050887295627902782315382658427752022572217872870013466161432124290331520600480199721759168283410631127783385766943998223418740190139951470706250117568211536488860627214445300954913914489936124827179352824241817889198105834013473189232496910395157402257852579658835077058575461493020513763690537991614735839883351955276675007774837865520704542390457550211696103049871923732349758740609396160237777258066029960103725340619653516123584941010763692703639862088992587798652840579983394625139506299849851591274095992774510606390024737468714111381119961195438423253694571408976387134315510664235268017110068898488327486213920278597072624021720279465278947957972583869390659439279944249044663059997188394808644}
15569  3352349462936902292793306306543526310510269947785501203002055908: {15569,326739,388975,466770,497888,560124,1010815,1197427,1212978,1710610,1787215,2052732,2144658,2872495,2906167,3047996,3392967,3446994,4110415,4133906,4354280,4898565,4932498,5191495,5225136,5252858,5294707,5500015,5831625,5853679,5878278,5882259,5905580,6220400,6229794,6433059,6600018,6785299,6997950,7086696,7397516,7464480,7501495,7962112,7962415,7972533,8019187,8397540,8729815,8889452,8900967,8957376,9001794,9554898,9639679,9906226,10077048,10398487,10475778,10567495,10567880,10811167,10930927,11336679,11636815,11886199,11888865,12142114,12551815,12680994,12681456,12705159,13044751,13313215,13477436,13770970,13921615,13964178,14053539,14266638,14532434,14681215,15043688,15062178,15539479,15605479,15615610,15932199,15975858,16075759,16496887,16525164,16695367,16705938,16734099,16924149,17000967,17267619,17341298,17617458,17860615,17895319,18185827,18738732,18885967,19217815,19253480,19274899,19324759,19669495,19696687,20115106,20412476,20760620,20780239,21116959,21172495,21213465,21432738,21660165,21808466,22230307,22372015,22420988,22627696,22685767,22965370,23061378,23104176,23578226,23603394,24391459,24571898,24912744,25001599,25129797,25210615,25215848,25254125,25406994,25456158,25657495,25979167,25992198,26144551,26401495,26468876,26529367,26597527,26846418,27535570,27558444,27756579,27925594,28026837,28103539,28165459,28253698,28273267,28367829,28615879,28786467,29160680,29346812,29658319,29916425,30064039,30252738,30284386,30304950,30615607,30788994,31316719,31395619,31681794,32325280,32743639,32758615,32805765,32871459,33042684,33069452,33287287,33493015,33504514,33620851,33683180,33771225,33777559,34042867,34136679,34519495,34596367,34893219,34958815,34992816,35262967,35421151,35716570,35782279,35899710,36022640,36365940,36420919,36584467,36650919,36712495,36851866,37004215,37140584,37313941,37650567,37812680,37878415,37995379,38281507,38293024,38391298,38613751,38682967,38790336,38895267,39025676,39239779,39310338,39334399,39366918,39534367,39879031,40120039,40121768,40191618,40236370,40273651,40419816,40525470,40616047,41071495,41122119,41304338,41316079,41377778,41423394,41583212,41783157,41950578,41992076,42262627,42419834,42471367,42539265,42556927,42737750,42795746,42859884,43079652,43227168,43441159,43600231,43639128,43647874,44054994,44064039,44237372,44326687,44405058,44738170,45037767,45136989,45220831,45235879,45240151,45340946,45375216,45394495,45454098,45472293,45570547,45650227,45824815,46111495,46250067,46291196,46780039,46784986,47216019,47221207,47532524,47828215,48283644,48418599,48630564,48730927,48810259,48898119,49094019,49151186,49285794,49877167,50108215,50392495,50392879,50534818,50544199,50554279,50573299,50853799,50939954,51047118,51113959,51202088,51285300,51559987,51686306,53145367,53305630,53458639,53633839,53685804,53784931,54355615,54473394,54704320,54989778,55060015,55116067,55333794,55441507,55622815,55737811,55963688,56181634,56336911,56586236,56766079,56952386,57339859,57393858,57602349,57670867,58006466,58112239,58136767,58547698,58846495,58924965,59022970,59030098,59748967,59823415,59988680,60020851,60129858,60227539,60376467,60470994,60527474,60554626,60659215,60678559,60795610,60937495,61046179,61136780,61169167,61542360,61746339,62081431,62136319,62216719,62405804,62655267,62853296,62959149,63563084,63693106,63883207,63948338,63966756,64673971,64678615,64772780,65214610,65226738,65227058,65408047,65645184,65809299,66072018,66130280,66208087,66469495,66504511,66565906,66744415,66747378,67245658,67309545,67487265,67702796,68155351,68357119,68359714,68527495,68574225,69235155,69362067,69546319,69615610,69775651,70023932,70032165,70038799,70099447,70215980,70460967,70615794,70709958,70827564,70849015,71100236,71136499,71748178,71788098,71793754,71796848,71918504,71968316,71986416,72247570,72345338,72687079,72769159,72791058,72859539,72949567,72954732,72960931,73124994,73145840,73364136,73459159,73509159,73700815,73837580,73850832,74242015,74396565,74451439,74648647,74700976,74704819,74829346,74891767,74917615,75546019,75546367,75912727,76005079,76150900,76389139,76553026,76619770,76938415,76940967,77056594,77081498,77087528,77153619,77279084,77522467,77614338,77727336,77767507,77930636,78021466,78061634,78257532,78766412,78960799,79057767,79306514,79356336,79738951,79752415,79763394,79980499,80093298,80193007,80439656,80538549,80579167,80619391,80686495,80771454,80837480,80908317,80984718,81148652,81361299,81521191,82062367,82232994,82289070,82399719,82451239,82534653,82766696,82866380,83079415,83082186,83226567,83371625,83538732,83546239,83741815,84038598,84139567,84142579,84259176,84460359,84716527,84731276,84806479,85018111,85018818,85227091,85419464,85580348,85746706,85844204,86206076,86451247,86467820,86468179,86500546,86697084,86723469,86859898,87301495,87344674,87443253,87494645,87530924,87695215,87775008,88179559,88208599,88440978,88605096,88612495,88766170,88796659,88889138,89090418,89229266,89275878,89366167,89517459,89901138,90326546,90373279,90447514,90468466,90494613,90512679,90719564,90942165,91209199,91381080,91612615,91748359,91822706,91907719,91943724,92326098,92722879,92850146,92863868,92878738,92933666,93074979,93112533,93387367,93484797,93798151,93884479,94075015,94245267,94439559,94518799,94762387,94791573,95158399,95199007,95702898,95817117,95879225,95951258,96096897,96308527,96319425,96718280,96823794,96945699,97001378,97004976,97036495,97136967,97278799,97443836,97473152,97723304,97759639,98090067,98289548,98312959,98385298,98431567,98520439,98746884,98880727,99043831,99175027,99232665,99346867,99439656,99680733,99695298,99741346,99792039,99827827,...,12112135926749761929958172775949309570932152690274350339788872246453628981077736861776097755260479300764730733238902990492641455899075313205353757809723542213405072874764343569110247027259405093399195063962130252729425437886373172857476468910120525695028785916026866030052995544687807526633219188695980807158246793312415348279770601713345552246503476300624326730969423499987827481687115814523020269345817604881894968107714580830832762906259543756365279784579736871875655894595053998594486416034661685094207426356404056114175056019052617804502203278296858318531970316081465469528908197336322235393250195829629901944448107920899174050608243803526596504013403017793157201588396865287333212195101808789234379274141766451710678307521569191997442411649731457364954930654403967339660886912724801357644269869786477517840994309649835763803700886271544532995343992225561191982997381113400002136805834874169243049305647427126055490778101829623903526589991513799812930035097771449003566314428804468187552680946344000382054976680629398928311384867609602318427644831494271598321045607244259086479160803384753049024526799683458506872036987619492609612242970016550709537216182528828430689658187357223712974386923623164244862036138881260940263929862784593702230505850962442927340764686471410532612087034657686327831322614563150544900150498997742274542605267550571673250878547765649699518728018809718921290405992476717752785460656431365712135423659215614227129001120990179425491487604425718391193557880177701934195858109465457543211715355982858460237877642317462459961123686285620395527410684135131423619600697666921402060065617783951120511103973514733137705376223891463362402347069052876686786764841198447147299796754713021533545143160135533497808819256796201567793387201148011592708426252890576330943441854173473073987641628033858326809305020199242148186435497280900720299582638752425115946691675078650415997335128110285209927206059375176352317304733290940821667951432370871734904187240769029236362726833797158751020209783848745365592736103386778869488252615587863192239530770645535806987422103759825027932915012511662256798281056813585686325317544154574807885598524638110914094240356665887099044940155588010929480274185377411516145539055459793133488881697979260869975091937709259449774777386911143989161765909585037106203071167071679941793157634880541857113464580701473265996352902025665103347732491229320880417895608936032580419197918421936958875804085989158919916373566994589995782592212966}
15570  3367231373710717439719893720864852699227863139545729475439556916: {171149,295469,435652,450689,528734,622360,667661,700155,746832,840186,915149,1131281,1273214,1500881,1593101,1617304,1685249,1819467,1961261,2022509,2200574,2419841,2565915,2736976,2754989,2859544,2967761,3028481,3079098,3124334,3216987,3240749,3308654,3664109,3694289,3809995,3845069,3935441,4025741,4146029,4296209,4326221,4476161,4523956,4571994,4595992,4685741,4745549,5133521,5143934,5170491,5371601,5442850,5816621,5874014,6023681,6200849,6200859,6377729,6524909,6531420,6554321,6576664,6642509,6789329,6966848,6994541,7228589,7327262,7345421,7381975,7398747,7666049,7775500,7837704,7843012,7879287,8230862,8306392,8362241,8577412,8591294,8795021,8800024,8817417,8858370,8996369,9168641,9246895,9254669,9330600,9344691,9426509,9448928,9569489,9655181,9900027,9952640,10025681,10167821,10281389,10423169,10496925,10630044,10677869,10790861,10960109,11016461,11096274,11111815,11196720,11213441,11438081,11634221,11867956,11943168,11969549,12002392,12136781,12220289,12359309,12553601,12596310,12609041,12694862,12739864,13023821,13048094,13163227,13209850,13334178,13436064,13502691,13711121,13765889,13928654,13967704,14104334,14257361,14332347,14692049,14746241,14805614,14827469,14854529,14859339,15016721,15115572,15259469,15713667,15796589,15851820,16037249,16223981,16596269,16755341,16846795,16907992,16908608,16940212,16993409,17257169,17546381,17625089,17886929,17932862,18213171,18252161,18408209,18449534,18618904,18738052,18797069,18804610,18822929,18900461,19021491,19022184,19492481,19799234,20082904,20162414,20182061,20216154,20656455,20843534,20891021,20941421,20946267,20966609,21092429,21242932,21301144,21399957,21798651,21843149,21992429,22033552,22063867,22274584,22312132,22438541,22565532,22593267,22667956,22808321,23023492,23053841,23127341,23176301,23200769,23423415,23489944,23493761,23542481,23544974,23880062,23963787,24066850,24076289,24214574,24381614,24654209,24787746,24917549,24984976,25058907,25346381,25512449,25515595,25654481,25701761,25725389,25843409,25950775,25984769,26011947,26426187,26570669,26705054,26826881,26896589,27058961,27174701,27199262,27336401,27528014,27692174,28026235,28093421,28108098,28284620,28434641,28510814,28576984,28615889,28880220,28886801,29447501,29650862,29848109,29892461,29975294,30172659,30224081,30460862,30618714,30641549,30748504,30805568,30969089,31077869,31140930,31424621,31471192,31519810,31532561,31597229,31726349,31855181,32149107,32325101,32431361,32498011,32712699,32896529,33086095,33216992,33506396,33628589,33631482,33875992,33898001,33941544,33982094,34207181,34330349,34371341,34448055,34453229,34514561,34592067,34656264,35043089,35106547,35164289,35244929,35367339,35405091,35646209,35795224,36321041,36450850,36683515,36744592,36857847,36908801,37008772,37296641,37369116,37412369,37588862,37719569,37823772,37929581,38110491,38184237,38346701,38381956,38459789,38497421,38671454,38834669,38988297,39002321,39298769,39501389,39703314,39900062,40269627,40336984,40406600,40499969,40553741,40661069,40750289,40768109,40874861,41016749,41051992,41140481,41303355,41336815,41337666,41439341,41491841,41725694,41874641,41876894,41888391,41909249,41926541,41978369,42103975,42186859,42236429,42242392,42380547,42475661,42480254,42492689,42526721,42747149,42949421,43234001,43350509,43400321,43450061,43680062,43697681,43741020,43828612,43978574,44020218,44056912,44236109,44477969,44609071,44670161,44722334,44801827,45028300,45129869,45145601,45365009,45379107,45426579,45427409,45457425,45515572,45610094,46183491,46345934,46423469,46425730,46438529,46524292,46657088,46663469,46827281,46871789,47019629,47225261,47265850,47269121,47370062,47458349,47522691,47588561,47761169,47866280,47875601,47889869,48046289,48131201,48173549,48258029,48342221,48440081,48487920,48648461,48782095,48855041,48867892,48964481,48968227,49127681,49208849,49253294,49289729,49490669,49530641,49564026,49604178,49703021,49827854,49900241,49965581,50152210,50200756,50250701,50256771,50353421,50404589,50442881,50524770,50595329,50685374,50958989,51107501,51230381,51254174,51291521,51396014,51630209,51679262,51690029,51720448,51797201,51860356,51880109,51979015,52056449,52300301,52392269,52413784,52460909,52489224,52490095,52529261,52608641,52676369,52698881,52866701,52911149,53065709,53086862,53434541,53466641,53574855,53588824,53773229,53814989,53849565,53893088,54033960,54062861,54093521,54113921,54336209,54416081,54445901,54544781,54548910,54662381,54829492,54884561,54951341,54996634,55008269,55064909,55093121,55231192,55251629,55277799,55279361,55288589,55296715,55389569,55398701,55525709,55668941,55710876,55858862,55934104,56000909,56009489,56035181,56128769,56132894,56187821,56304749,56411921,56428289,56542862,56582189,56598221,56669969,56719020,56748929,56772461,56815454,56858129,56865869,56981009,57146512,57154061,57198509,57439536,57550721,57586947,57636224,57675281,57695789,57736589,57863995,57870509,57877121,57936269,58007681,58090829,58160129,58185089,58185504,58240781,58332161,58362221,58486289,58526861,58538514,58578449,58595501,58657409,58679681,58739992,58752052,58965507,59008529,59028689,59050377,59112941,59127569,59132429,59199629,59206744,59218541,59246669,59288321,59415655,59435501,59448449,59499521,59561741,59618189,59642894,59680781,59692289,59699921,59745041,59756141,59770829,59835341,59903981,59927249,59943629,59985281,60031661,60050356,60055661,60076241,60093569,60141101,60149249,60173261,60182652,60204269,60255761,60272141,60287427,60323201,60354221,60354555,60368081,60377741,60401921,60416129,60417869,60499949,60500288,60511361,60513809,60518609,60534401,60555149,60556049,60562961,60574541,60579329,60586061,60592769,60596621,60597389,60599501,60601601,60604289,60605201,60605464,60629724,60788205,61230062,61666756,61885262,61956507,62066667,62135091,62146334,62374818,62796494,62822242,62925867,62928691,62954692,62988114,63571934,63629751,64002610,64086014,64106625,64193619,64214174,64289826,64378192,64470062,64558132,64619478,64840752,65197492,65363354,65458692,65471811,65714392,65993294,66082491,66356058,66607587,67107255,67451587,67620062,68011419,68062824,68181147,68380400,68609054,69436794,69442747,69954610,70177479,70384699,70732795,71041214,71298786,71393146,71581072,72420859,72425466,72631192,72945846,73063262,73319704,73415774,73650062,73726779,73778392,73928691,74000414,74581454,74742031,74985850,75388862,75492274,75802227,76189214,76409931,76420975,76525144,76570677,76803132,76927950,77095262,77529459,78007255,78547934,78566620,78990014,79453855,79539374,79958445,80173144,80501956,80528706,80627992,80950862,80965975,81487262,81710091,82056480,82232174,82328452,82484667,82662850,82865054,83000691,83540356,83596862,83804654,83908334,83945532,84272451,84628495,84879354,84937214,85289008,85428579,85446254,85507891,85850894,86090787,86968984,87009699,87150062,87347774,87526912,87529915,87745732,87769975,87821547,87839534,88096024,88534455,88545147,88812254,88875295,88908734,88996504,89101262,89746060,89898130,89917267,89960395,89983020,90194787,90244334,90706491,90791211,90831939,91181054,91193415,91432300,91705170,91736174,92296975,92313540,92377262,92482756,92617154,92830862,93280862,93376220,93608706,93727262,93947956,94012171,94122259,94154392,94279944,94436752,94871054,95188625,95344626,95539659,95717464,95734334,95922507,95950134,95981888,96359410,96598855,96751262,96871747,97054744,97146052,97159170,97272976,97413295,97499992,97714351,97818848,97821915,97840107,97840587,98012212,98156414,98237774,98400062,98458015,98467776,98963534,99108027,99195420,99361694,99409999,99848859,...,18168203890124642894937259163923964356398229035411525509683308369680443471616605292664146632890718951147096099858354485738962183848612969808030636714585313320107609312146515353665370540889107640098792595943195379094138156829559759286214703365180788542543178874040299045079493317031711289949828783043971210737370189968623022419655902570018328369755214450936490096454135249981741222530673721784530404018726407322842452161571871246249144359389315634547919676869605307813483841892580997891729624051992527641311139534606084171262584028578926706753304917445287477797955474122198204293362296004483353089875293744444852916672161881348761075912365705289894756020104526689735802382595297930999818292652713183851568911212649677566017461282353787996163617474597186047432395981605951009491330369087202036466404804679716276761491464474753645705551329407316799493015988338341787974496071670100003205208752311253864573958471140689083236167152744435855289884987270699719395052646657173505349471643206702281329021419516000573082465020944098392467077301414403477641467247241407397481568410866388629718741205077129573536790199525187760308055481429238914418364455024826064305824273793242646034487281035835569461580385434746367293054208321891410395894794176890553345758776443664391011147029707115798918130551986529491746983921844725817350225748496613411813907901325857509876317821648474549278092028214578381935608988715076629178190984647048568203135488823421340693501681485269138237231406638577586790336820266552901293787164198186314817573033974287690356816463476193689941685529428430593291116026202697135429401046500382103090098426675926680766655960272099706558064335837195043603520603579315030180147261797670720949695132069532300317714740203300246713228885194302351690080801722017389062639379335864496415162781260209610981462442050787490213957530298863222279653245921351080449373958128637673920037512617975623996002692165427814890809089062764528475957099936411232501927148556307602356280861153543854544090250695738126530314675773118048389104155080168304232378923381794788359296155968303710481133155639737541899372518767493385197421585220378529487976316231862211828397786957166371141360534998830648567410233382016394220411278066117274218308583189689700233322546968891304962637906563889174662166080366715983742648864377555659304606750607519912689736452320812785670196871052209898994529353038497655021598736843981320626843413404048870628796877632905438313706128983738379874560350491884993673888319449}
15571  3382178827337422393560858382072484759502140730638956262914610892: {31138,544565,653478,777950,793101,933540,995776,1120248,1260279,1415141,1909821,2021630,2394854,2425956,2502101,3248069,3300861,3421220,3434561,3574430,4021493,4105464,4289316,4618647,4686501,4962981,5654945,5744990,5754581,5812334,6095992,6257381,6785934,6857991,6893988,7268093,7700021,7715901,8164275,8220830,8267812,8708560,8811021,9477221,9719375,9797130,9803765,9864996,10382990,10450272,10502093,10505716,10589414,10721765,10990893,11000030,11147381,11338541,11418341,11663250,11707358,11756556,11764518,11811160,12083069,12221741,12289121,12346293,12440800,12459588,12866118,12886941,13199861,13200036,13287555,13570598,13944389,13995900,14173392,14794493,14795032,14834945,14928960,15002990,15924224,15924830,15945066,16038374,16066241,16291541,16644411,16795080,17367653,17459630,17572541,17778904,17801934,17914752,18003588,18525749,18638501,18894465,19042293,19109796,19279358,19490261,19496321,19572141,19812452,19814775,20001267,20154096,20553701,20657501,20796974,20892981,20951556,21134990,21135760,21156501,21175265,21215393,21492341,21622334,21861854,22208421,22573301,22673358,23224973,23273630,23422565,23502881,23772398,23777730,24284228,25004861,25103630,25361988,25362912,25410318,26089502,26272181,26553665,26626430,26899293,26904941,26954872,27054701,27537293,27541940,27674301,27843230,27890165,27928356,28107078,28206915,28334945,28533276,28779365,29064868,29362430,29641493,29650469,29698851,30087376,30124356,30243621,30324231,31078958,31210958,31231220,31265301,31320821,31433441,31864398,31951716,31982453,32137421,32151518,32993774,33050328,33147533,33306893,33390734,33411876,33413861,33468198,33625229,33848298,34001934,34471181,34535238,34682596,34922561,35001821,35234916,35294861,35317461,35355775,35625029,35721230,35790638,35820093,35920493,36100275,36182081,36321861,36371654,36572421,36962093,37181619,37477464,37771934,37863989,38342693,38435630,38506960,38549798,38618789,38649518,38705573,39338990,39339521,39393374,39733733,40057581,40230212,40569941,40610669,40705733,40798893,40824952,41292021,41521240,41538261,41560478,41760161,41882995,42162147,42233918,42344990,42426930,42629309,42648461,42766221,42865476,43320330,43616932,44185469,44460614,44476293,44543141,44744030,44841976,44962941,45241781,45255392,45371534,45576509,45634433,45691293,45862061,45928071,45930740,46116293,46122756,46208352,46260965,46437101,46711395,46890221,47156452,47206788,47279715,47302721,47450021,47557301,47596133,47977445,48327293,48339509,48782918,48942341,49143796,49825488,49946741,50003198,50045789,50259594,50399441,50421230,50431696,50447223,50508250,50813988,50912316,50973141,51314990,51397493,51805901,51958334,51984396,52283573,52289102,52802990,52937752,53012381,53029781,53058734,53195054,53465633,53692836,53856101,54040781,54676275,54785765,54866501,55071140,55116888,55513158,55576901,55608149,55745069,55806881,55851188,56053674,56207078,56285375,56321453,56330918,56383293,56507396,56546534,56735658,56894465,57231758,57500093,57572934,58007181,58119821,58155365,58321360,58693624,59085053,59316638,59554971,59832850,59850093,60128078,60505476,60568772,60609900,60680981,61075493,61084865,61231214,61334141,61577988,62006499,62312261,62588541,62633438,62737361,62750945,62791238,62808161,62815341,63115541,63363588,63552293,63720381,64154741,64556093,64643093,64650560,64825445,64948973,65148221,65487278,65517230,65520093,65521781,65611530,65742918,65967861,66030327,66085368,66138904,66362909,66495773,66574574,66866309,66959501,66986030,66999461,67009028,67083501,67241702,67366360,67397189,67542450,67555118,67817213,68085734,68273358,68415141,68536865,69038990,69192734,69518901,69536333,69638595,69786438,69917630,69985632,70108709,70151501,70252373,70331693,70525934,70549493,70842302,70898775,70933733,71055093,71091029,71433140,71564558,71799420,71939393,72045280,72731880,72841838,73019309,73168934,73301838,73424990,73440065,73468781,73703732,73879941,74008430,74281168,74346039,74406267,74627882,74741781,74869061,75062945,75228315,75301134,75625360,75756830,75787155,75990758,76028061,76097861,76399133,76563014,76586048,76782596,76881261,77083445,77084021,77094021,77227502,77365934,77518893,77580672,77699981,77790534,77871941,78051352,78106901,78245921,78479558,78620676,78668798,78693365,78733836,79068734,79586021,79630293,79758062,79958141,80240078,80243536,80383236,80472740,80547233,80547302,80629889,80685173,80697665,80746061,80839632,81050940,81097361,81232094,81496865,81531869,81823365,82101413,82142990,82244238,82385093,82462133,82494951,82608676,82632158,82669829,82755556,82844801,82846788,83166424,83566314,83752781,83788293,83901156,83984152,84104861,84199341,84525254,84814293,84839668,84846701,84922901,84942734,84946853,85078530,85113854,85223181,85238189,85312493,85475500,85591492,85719768,85908353,85944821,86159304,86179349,86454336,86882318,87178193,87200462,87278256,87295748,87713309,87807771,88109988,88128078,88474744,88653374,88810116,89324993,89464341,89476340,89715041,90059069,90075534,90273978,90333221,90441662,90471758,90480302,90550061,90668381,90681892,90750432,90788990,90881429,90908196,90944586,91141094,91198721,91300454,91617461,91649630,91845093,92222990,92500134,92582392,92827893,93057293,93219501,93442181,93560078,93562227,93569972,93810389,94194741,94233363,94432038,94442414,94482171,94751693,95065048,95097101,95221541,95357901,95656430,95938493,96003915,96129021,96192533,96321261,96434739,96567288,96705093,96837198,96929217,97261128,97291541,97461854,97620518,97796238,98045031,98188038,98208275,98302372,98325761,98571588,98956001,98989941,99067973,99188621,99534087,99754334,99842861,...,24224271853499523859916345551898619141864305380548700679577744492907257962155473723552195510520958601529461466477805980985282911798150626410707515619447084426810145749528687138220494054518810186798390127924260505458850875772746345714952937820241051390057571832053732060105991089375615053266438377391961614316493586624830696559541203426691104493006952601248653461938846999975654963374231629046040538691635209763789936215429161661665525812519087512730559569159473743751311789190107997188972832069323370188414852712808112228350112038105235609004406556593716637063940632162930939057816394672644470786500391659259803888896215841798348101216487607053193008026806035586314403176793730574666424390203617578468758548283532903421356615043138383994884823299462914729909861308807934679321773825449602715288539739572955035681988619299671527607401772543089065990687984451122383965994762226800004273611669748338486098611294854252110981556203659247807053179983027599625860070195542898007132628857608936375105361892688000764109953361258797856622769735219204636855289662988543196642091214488518172958321606769506098049053599366917013744073975238985219224485940033101419074432365057656861379316374714447425948773847246328489724072277762521880527859725569187404461011701924885854681529372942821065224174069315372655662645229126301089800300997995484549085210535101143346501757095531299399037456037619437842580811984953435505570921312862731424270847318431228454258002241980358850982975208851436782387115760355403868391716218930915086423430711965716920475755284634924919922247372571240791054821368270262847239201395333842804120131235567902241022207947029466275410752447782926724804694138105753373573529682396894294599593509426043067090286320271066995617638513592403135586774402296023185416852505781152661886883708346946147975283256067716653618610040398484296372870994561801440599165277504850231893383350157300831994670256220570419854412118750352704634609466581881643335902864741743469808374481538058472725453667594317502040419567697490731185472206773557738976505231175726384479061541291071613974844207519650055865830025023324513596562113627171372650635088309149615771197049276221828188480713331774198089880311176021858960548370754823032291078110919586266977763395958521739950183875418518899549554773822287978323531819170074212406142334143359883586315269761083714226929161402946531992705804051330206695464982458641760835791217872065160838395836843873917751608171978317839832747133989179991565184425932}
15572  3397192110198838966962853213878211662318914884748731150357642458: {46707,202267,342298,481771,590938,871304,901378,946171,980217,1057468,1166925,1223947,1244720,1335322,1400310,1493664,1680372,1830298,2262562,2546428,2785771,3001762,3032445,3059227,3186202,3234608,3241171,3370498,3422827,3592281,3638934,3694771,3922522,4045018,4276525,4326787,4401148,4776067,4839682,5044771,5131830,5333993,5361645,5473952,5509978,5669227,5719088,5758147,5935522,6056962,6158196,6248668,6433974,6481498,6555187,6617308,7328218,7388578,7521427,7619990,7690138,7870882,8051482,8131771,8292058,8592418,8617485,8652442,8718501,8952322,9047912,9143988,9191984,9371482,9491098,9599347,10178901,10267042,10287868,10334765,10340982,10743202,10885700,11130571,11633242,11748028,12047362,12331245,12401698,12401718,12638467,12755458,12945653,13049818,13062840,13108642,13132145,13153328,13285018,13466107,13578658,13933696,13989082,14457178,14654524,14690842,14694067,14695695,14763950,14797494,14856571,15099787,15332098,15503707,15551000,15556541,15574485,15675408,15686024,15758574,15825547,15884121,16226227,16461724,16500045,16612784,16625107,16724482,16863571,17154824,17182588,17494875,17561037,17590042,17600048,17634834,17646777,17653771,17716740,17889427,17992738,18280747,18337282,18436771,18493790,18509338,18661200,18689382,18825571,18853018,18897856,19138978,19299177,19310362,19800054,19828027,19905280,20051362,20134027,20210347,20335642,20355897,20562778,20846338,20969587,20993850,21260088,21355738,21581722,21646747,21920218,22032922,22192548,22223630,22393440,22426882,22466467,22504485,22876162,23204107,23268442,23497147,23570227,23585513,23735912,23886336,23887245,23917599,23939098,24004784,24057561,24079771,24273562,24440578,24585787,24718618,24765565,25107202,25192620,25218082,25389724,25479728,25516171,25729147,26047642,26096188,26189445,26326454,26419700,26668356,26702901,26872128,27005382,27422242,27531778,27857308,27935408,28208668,28514722,28642771,28664694,28919037,28981171,29384098,29492482,29611228,29654938,29709058,29718678,30033442,30231144,30316771,30355285,30518938,31195461,31427334,31494187,31593178,31702485,31703640,32074498,32393827,32433501,32447962,32792781,33090787,33192538,33510682,33654547,33693590,33815984,33817216,33880424,33986818,34010037,34427425,34514338,34581187,34910445,34947307,35068771,35092762,35250178,35250427,35658597,35666595,35671771,35721833,35773858,35865724,36089587,36267571,36331085,36426342,36504322,36816418,36899068,37237808,37263907,37437571,37476104,37594138,37609220,37645858,37655445,37800922,37897507,38042982,38044368,38115477,38296171,38859571,38984962,39039025,39134253,39236729,39249667,39415771,39598468,39855547,39939645,40165808,40236571,40324828,40364122,40432308,40667707,40774771,41041171,41312910,41687068,41764845,41782042,41882842,41892534,41933218,41933467,42160617,42184858,42243427,42485864,42499747,42602288,42799914,43207867,43211641,43353245,43357771,43597302,43686298,43984858,43999867,44043645,44067104,44127734,44194987,44243587,44549168,44624264,44677747,44877082,45131064,45153307,45186534,45335912,45616642,46046984,46107682,46254682,46320533,46352602,46401538,46446571,46618437,46816437,46846830,46979888,46987522,47084962,47089948,47248147,47760124,47796597,47898307,47927574,48068947,48133700,48152578,48196171,48227277,48280627,48429148,48763228,49308418,49312027,49360333,49432771,49490661,49575492,49835098,49857197,49909267,49969952,50086101,50117814,50202297,50287765,50692762,50772447,50868667,51002901,51024898,51031190,51308962,51356921,51403522,51450778,51603787,51686818,51711571,51802857,51901550,51969538,52023894,52066171,52344667,52482187,52852374,53141338,53185267,53410108,53476867,53508907,53581845,53653762,53685957,53793178,54117922,54349402,54398524,54521165,54557481,54672802,54990667,55056028,55075771,55299547,55384348,55409707,55680067,55943227,56020771,56052470,56186842,56216196,56224387,56274571,56447947,56569240,56641771,56657901,56830987,56869282,56877571,57021628,57151027,57153968,57231778,57261907,57413425,57653445,57760440,57773602,57824697,57871541,57889387,57948571,57974277,58197547,58625227,58758571,58887307,58895002,58918771,58945565,59008485,59041747,59090061,59145571,59301724,59396347,59461867,59512987,59635747,59696218,59728771,59784922,59806387,59921227,59950588,59989771,60190147,60300307,60326947,60345318,60394267,60432571,60448162,60467347,60481171,60571171,60594571,60600187,60614227,60921724,61237428,61283098,61429745,61497008,61611136,61938178,62155738,62281860,62340717,62849242,62942384,63039620,63065122,63194458,63350877,63452698,63517485,63640395,63710362,64298214,64650202,64862722,64980495,64996022,65425398,65793058,66172190,66433984,66690921,67012792,67116045,67257178,67262964,67751984,67796002,67883088,67964188,68057301,68294933,68414362,68660698,68742682,68838925,68896110,68906458,69029122,69184134,69312528,69813985,70086178,70213094,70328578,70489858,70634245,70734678,70810182,71292418,71590448,72642082,72770621,72901700,73174377,73367030,73486133,73489184,73715694,73817602,74017544,74593282,74738232,74824738,75004797,75177724,75389391,75439138,75631845,75647544,75710965,75762375,75859162,76220982,76368474,76693402,76763912,76919578,76972485,76994842,77342908,77415401,77669338,77937501,77976594,78004642,78433653,78597538,79002778,79204485,79406628,79588101,79792581,79800124,80539254,80673968,80813200,80999938,81009593,81107482,81322138,81500578,81536218,81749722,82033498,82068701,82103984,82280962,82606710,82673630,82675332,82878682,82983682,83181917,83269737,83451388,83749282,83753788,83761285,83776782,83818498,83853082,83956738,84080511,84207950,84310617,84373718,84472858,84484784,84496377,84761094,84819801,84951322,84960508,84985378,85053442,85103487,85494298,85847637,85898842,86359401,86468002,86701018,86800642,86900122,87360124,87395362,87482040,87657224,87957148,88040436,88113824,88472218,88955938,88974957,89218142,89291425,89340322,89444668,89603654,89749275,90056600,90192117,90259738,90291202,90730018,90758214,90853158,90854818,90914850,91031144,91220188,91846821,92129665,92366982,92691868,92846938,92851460,92877058,93048584,93314176,93326938,93654562,93743578,93950157,94039258,94186857,94450522,94531700,94538242,94740124,94916698,95045382,95177122,95522338,95732560,95751202,95779738,95978245,96092578,96262402,96347098,96516058,96684442,96880162,96975840,97296922,97564190,97710082,97735784,97928962,97936454,98230917,98255362,98275845,98417295,98417698,98506588,98579458,98614377,98981338,99025913,99061282,99128052,99208356,99382261,99406042,99655708,99800482,99861861,99931162,...,36336407780249285789874518327847928712796458070823051019366616739360886943233210585328293265781437902294192199716708971477924367697225939616061273429170626640215218624293030707330741081778215280197585191886390758188276313659119518572429406730361577085086357748080598090158986634063422579899657566087942421474740379937246044839311805140036656739510428901872980192908270499963482445061347443569060808037452814645684904323143742492498288718778631269095839353739210615626967683785161995783459248103985055282622279069212168342525168057157853413506609834890574955595910948244396408586724592008966706179750587488889705833344323762697522151824731410579789512040209053379471604765190595861999636585305426367703137822425299355132034922564707575992327234949194372094864791963211902018982660738174404072932809609359432553522982928949507291411102658814633598986031976676683575948992143340200006410417504622507729147916942281378166472334305488871710579769974541399438790105293314347010698943286413404562658042839032001146164930041888196784934154602828806955282934494482814794963136821732777259437482410154259147073580399050375520616110962858477828836728910049652128611648547586485292068974562071671138923160770869492734586108416643782820791789588353781106691517552887328782022294059414231597836261103973058983493967843689451634700451496993226823627815802651715019752635643296949098556184056429156763871217977430153258356381969294097136406270977646842681387003362970538276474462813277155173580673640533105802587574328396372629635146067948575380713632926952387379883371058856861186582232052405394270858802093000764206180196853351853361533311920544199413116128671674390087207041207158630060360294523595341441899390264139064600635429480406600493426457770388604703380161603444034778125278758671728992830325562520419221962924884101574980427915060597726444559306491842702160898747916257275347840075025235951247992005384330855629781618178125529056951914199872822465003854297112615204712561722307087709088180501391476253060629351546236096778208310160336608464757846763589576718592311936607420962266311279475083798745037534986770394843170440757058975952632463724423656795573914332742282721069997661297134820466764032788440822556132234548436617166379379400466645093937782609925275813127778349324332160733431967485297728755111318609213501215039825379472904641625571340393742104419797989058706076995310043197473687962641253686826808097741257593755265810876627412257967476759749120700983769987347776638898}
15573  3412271509918199495559896152086837239124955801950119606391561931: {62276,513447,762391,886407,1089130,1306956,1321835,1352067,1555900,1586202,1867080,1881671,1991552,2002983,2100465,2240496,2520558,2745447,2830282,3183035,3393843,3819642,3838627,4043260,4502643,4779303,4789708,4851912,5004202,5055747,5458401,5501435,5883783,6067527,6496138,6601722,6842440,6869122,7148860,7259523,7654811,7697745,7810835,7916923,8042986,8210928,8213783,8264967,8271635,8578632,8903283,9085443,9237294,9373002,9650961,9722247,9925962,10992327,11082867,11309890,11429985,11489980,11509162,11535207,11624668,11806323,12077223,12191984,12438087,12514762,12672487,12859835,12888627,12978663,13428483,13494403,13571868,13607125,13715982,13725271,13787976,14057223,14236647,14536186,14685035,14906071,15010471,15148067,15400042,15400563,15431802,15511473,15543491,16114803,16328550,16441660,16535624,17177171,17417120,17449863,17622042,17956387,18071043,18318155,18602547,18602577,18890843,18954442,19133187,19438750,19574727,19594260,19607530,19662963,19729992,19927527,20367987,20577155,20765980,20768923,20900544,20983623,21004186,21011432,21122411,21178828,21443530,21478235,21685767,21832403,21894067,21981786,22000060,22036263,22145925,22196241,22294762,22677082,22836682,22998147,23326500,23401571,23414716,23513112,23529036,23622320,23637861,24166138,24443482,24578242,24649363,24692586,24881600,24919176,25086723,25261907,25732236,25773882,26385063,26399722,26400072,26452251,26575110,26989107,27141196,27505923,27740685,27764007,27888778,27991800,28034073,28279527,28346784,28708467,28965543,29526503,29588986,29590064,29645371,29666003,29669890,29700081,29857920,30005980,30077043,30237607,30289127,30503463,30844167,31269507,31490775,31648667,31737155,31848448,31849660,31858907,31890132,32033607,32076748,32132482,32372583,32583082,32620235,32791591,32880327,33024625,33049383,33288822,33335445,33590160,33640323,34314243,34735306,34821635,34902663,34919260,35145082,35260835,35557808,35603868,35829504,35908647,36007176,36410343,36660867,37014035,37051498,37077927,37175131,37214627,37225351,37277002,37429187,37660803,37788930,37827123,38005223,38084586,38219592,38543243,38558716,38980522,38992642,39046231,39071463,39144282,39288227,39489681,39624904,39629550,39668923,39738907,40002534,40291111,40308192,40508073,41107402,41133363,41297667,41315002,41593948,41785962,41903112,42102307,42269980,42271520,42313002,42350530,42430786,42772083,42889991,42984682,42997041,43244668,43446803,43723708,44076147,44238723,44260007,44416842,44482407,44563587,44578017,44832155,45006971,45050163,45146602,45232547,45241403,45346716,45640387,45778407,46123835,46449946,46547260,46792211,46845130,47005762,47011525,47141001,47389767,47544796,47555460,47665927,47994427,48111747,48346547,48566363,48568456,48671943,49211987,49296727,49498085,49788807,50009722,50207260,50266023,50406035,50540385,50723976,50725824,50820636,50980227,51437291,51771507,52108835,52179004,52487047,52544362,52639143,52779227,52867747,52875267,53107330,53252860,53660787,53798586,53809882,53863147,53909744,54109402,54639513,54756483,55074586,55083880,55224627,55348602,55410571,55686460,55780330,55856712,56204083,56214156,56328787,56351507,56391207,56413830,56468787,56669890,56701383,57064473,57066552,57493171,57558730,58129736,58477443,58553987,58636193,58724860,58862435,59086103,59154611,59282986,59300938,59397702,59700155,60167125,60174752,60243143,60248712,60487242,60536435,60546183,60648462,60954035,61185083,61969365,62157916,62217091,62421916,62462440,62530602,62641642,62673063,62824263,62838801,62866882,62899827,63277287,63728796,63903432,63964906,64199871,64274842,64303036,64690727,64765351,64925267,64957447,65395953,65529447,65977287,65987548,66100656,66191601,66295066,66613786,66762635,66781468,66823752,66827722,66841331,66875171,66936396,67168423,67250458,67315623,67472087,67696596,67779801,67998155,68003868,68326183,68424963,68749867,68820035,68942362,69070476,69161523,69230435,69305671,69365192,69382023,69528903,69602307,69845122,69907451,70003642,70118227,70270245,70469832,70481283,70589722,70627443,70634922,70711550,71250058,71277035,71442460,71581276,71640186,71736071,71840986,71891361,72045271,72200550,72228867,72364162,72485803,72643722,72743308,73144842,73641763,73924186,73962627,74127155,74363238,74470811,74752647,74938235,74954928,75176721,75543868,75727978,76025003,76039143,76152155,76537347,76546785,76577171,76685386,76700071,76871260,76963443,77013920,77099596,77105283,77176167,77237578,77299036,77411146,77530227,77852325,77954307,78035841,78677980,78679042,78786748,78799525,79278561,79467466,79472327,79652251,79712007,80115162,80402851,80460424,80480643,80689767,81139882,81176883,81221338,81411466,81417511,81524103,81597786,81649904,81655111,81858443,82009203,82112167,82210483,82584042,82718771,82855747,83042480,83076522,83120956,83520322,83765990,84078705,84280263,84281747,84324294,84467836,84689980,84853860,84955235,85258618,85296922,85303923,85518811,85532442,85730952,85847667,86190571,86295547,86640660,86660403,87233864,87407123,87851323,88321127,88342503,88370938,88921228,88952586,89086282,89488060,89544327,89677383,89683952,89925882,90483562,90510784,90517977,90638227,90672243,90743068,90755623,91127125,91153018,91268866,91382586,91724122,91833067,91846067,91856142,91861480,91924647,91992007,92232586,92245512,92416704,92471063,92521930,92714563,92874202,92907267,93233607,93422790,93780442,93972155,93974747,94273863,94312904,94413576,94559430,94597683,94605442,94791687,94900042,95114602,95179047,95192266,95427163,95565543,95951611,95954890,96447321,96654586,96678635,96679018,96975303,97294083,97394747,97434451,97494033,97565836,97642787,97700707,97884682,98138097,98287592,98683547,98689587,98791403,99258285,99650976,99750155,99893482,...,54504611670373928684811777491771893069194687106234576529049925109041330414849815877992439898672156853441288299575063457216886551545838909424091910143755939960322827936439546060996111622667322920296377787829586137282414470488679277858644110095542365627629536622120897135238479951095133869849486349131913632212110569905869067258967707710054985109265643352809470289362405749945223667592021165353591212056179221968527356484715613738747433078167946903643759030608815923440451525677742993675188872155977582923933418603818252513787752085736780120259914752335862433393866422366594612880086888013450059269625881233334558750016485644046283227737097115869684268060313580069207407147785893792999454877958139551554706733637949032698052383847061363988490852423791558142297187944817853028473991107261606109399214414039148830284474393424260937116653988221950398479047965015025363923488215010300009615626256933761593721875413422067249708501458233307565869654961812099158185157939971520516048414929620106843987064258548001719247395062832295177401231904243210432924401741724222192444705232599165889156223615231388720610370598575563280924166444287716743255093365074478192917472821379727938103461843107506708384741156304239101879162624965674231187684382530671660037276329330993173033441089121347396754391655959588475240951765534177452050677245489840235441723703977572529628953464945423647834276084643735145806826966145229887534572953941145704609406466470264022080505044455807414711694219915732760371010460799658703881361492594558944452719101922863071070449390428581069825056588285291779873348078608091406288203139501146309270295280027780042299967880816299119674193007511585130810561810737945090540441785393012162849085396208596900953144220609900740139686655582907055070242405166052167187918138007593489245488343780628832944387326152362470641872590896589666838959737764053241348121874385913021760112537853926871988008076496283444672427267188293585427871299809233697505781445668922807068842583460631563632270752087214379590944027319354145167312465240504912697136770145384365077888467904911131443399466919212625698117556302480155592264755661135588463928948695586635485193360871499113424081604996491945702230700146049182661233834198351822654925749569069100699967640906673914887913719691667523986498241100147951227946593132666977913820251822559738069209356962438357010590613156629696983588059115492965064796210531943961880530240212146611886390632898716314941118386951215139623681051475654981021664958347}
15574  3427417315365485492921604398453534875564060480938799717318309446: {77845,93414,357673,404534,684596,729769,963542,1181876,1562773,1633695,1654969,1742608,1747093,1802756,1892342,1944875,1960434,2023033,2114936,2333850,2379303,2447894,2489440,2664373,2670644,2800620,2938153,2987328,3029269,3360744,3660596,3780837,4245423,4525124,4746793,5054075,5092856,5283769,5571542,5729463,5987135,6003524,6064890,6084373,6118454,6372404,6469216,6482342,6703033,6740996,6845654,7054969,7184562,7277868,7389542,7405753,7506303,7842613,7845044,8090036,8364469,8553050,8653574,8802296,8936075,9228469,9552134,9679364,9744207,9902583,10085269,10089542,10170553,10263660,10303683,10667986,10723290,10947904,11019433,11019956,11272693,11338454,11438176,11516294,11871044,12064479,12112213,12113924,12195769,12316392,12497336,12612469,12867948,12962996,13110374,13234616,13769653,13851769,13855941,13933813,14059503,14342953,14362475,14468671,14530835,14656436,14750293,14777156,14888943,14993833,15042854,15239980,15380276,15741764,16102964,16263542,16584116,16600873,16759993,16964835,17077369,17184836,17234970,17263743,17304884,17437002,17904644,18095824,18287976,18383968,18385003,18742964,18772143,18982196,19198694,19420969,20357802,20534084,20552075,20573973,20575736,20669530,20681964,20685071,20947369,21022933,21399673,21486404,21771400,21804279,22261142,22444969,23100063,23147703,23182969,23266484,23496056,23549269,23986453,24094724,24492825,24662490,24803396,24803436,24924793,25068073,25276934,25510916,25709269,25891306,25957475,26099636,26125680,26217284,26264290,26306656,26433063,26473535,26570036,26932214,27113269,27157316,27500075,27867392,27978164,28147369,28420393,28431663,28895413,28914356,29158125,29268395,29309048,29381684,29388134,29391390,29411295,29500969,29527900,29594988,29713142,29834869,29901433,30199574,30664196,30891253,31007414,31102000,31113082,31148970,31152469,31350816,31372048,31506279,31517148,31651094,31735993,31768242,31864873,32121769,32165295,32452454,32923448,32972679,33000090,33011833,33225568,33250214,33442143,33448964,33638953,33727142,33926495,33949813,34015623,34073653,34255023,34309648,34320469,34365176,34381993,34671791,34989750,35122074,35180084,35200096,35269668,35293554,35296213,35307542,35433480,35778854,35985476,36249207,36371893,36561494,36665223,36674564,36783913,36867363,36873542,36987580,37017769,37018676,37038879,37322400,37366393,37378764,37507475,37651142,37706036,37795712,38277956,38509753,38598354,38620724,38660823,39014869,39599583,39600108,39656054,39810560,39812075,39862665,40062073,40095935,40102724,40268054,40420694,40671284,40710073,40711794,40923769,41125556,41136313,41505493,41692676,41833167,41923093,41939174,41974969,41987700,42497399,42520176,42540853,42711476,43047733,43163444,43293494,43649075,43695913,43745269,43840436,44065844,44383479,44385096,44428693,44447260,44476969,44504835,44717269,44786880,44853764,44932934,45008970,45660469,45752324,46408214,46536884,46976953,46994294,47140454,47171026,47241769,47471824,47772672,47774490,47835198,47878196,48009568,48115122,48148213,48159542,48198395,48198723,48547124,48874623,48881156,49145269,49171574,49437236,49531130,49548469,49707733,49933233,49944469,50139769,50214404,50385240,50436164,50714869,50779448,50863519,50959456,51032342,51052153,51068303,51237013,51458294,51673333,51992435,52095284,52102959,52192376,52378890,52549033,52652908,52684969,52717623,52718773,52837475,52839400,53336712,53347369,53405802,53667769,53744256,54010764,54055835,54104233,54134869,54256693,54317173,54467113,54654635,54703273,54844484,54848533,54906133,55063556,55133653,55167431,55273513,55328953,55438969,55577247,55714616,55870816,55915503,56074873,56352469,56417336,56451253,56621353,56683395,56716969,57029444,57065269,57126879,57285542,57329388,57397369,57630613,57794773,57835093,57838074,57934633,57962342,58109269,58128313,58184075,58314793,58334939,58470783,58476469,58488963,58581013,58716423,58768196,58984964,59139193,59222456,59309876,59418116,59430995,59437356,59444325,59534869,59645353,59715769,59727253,59869993,59931769,59981269,60003801,60019573,60066884,60201769,60232873,60277369,60305593,60383353,60429433,60462288,60524473,60528469,60543733,60547369,60624373,60628153,60633542,60636469,60694543,60710570,61037876,61661103,61972503,62390922,62678943,62759075,62854668,62988374,63186356,63404970,63407280,63469503,63525795,63646179,64148996,64477023,64787654,64867002,64895924,65223755,65585562,66181574,66385076,66566075,66625263,67021364,67309094,67387180,67631968,67634432,67719903,67760848,67973636,68020074,68854850,69028676,69162374,69608075,69674919,69820890,69894614,70137542,70185524,70267695,70402871,70500356,70500854,70508643,71317194,71333190,71343542,71443666,71547716,71731448,72179174,72535142,72662170,72852684,73008644,73406075,73632836,73798136,74475616,74527814,74875142,74952208,75014583,75188276,75218440,75291716,75310890,75601844,75795014,76085964,76088736,76230954,76329631,76592342,76950071,77697395,77719142,77969924,78027395,78078050,78268506,78473458,78499334,78816543,78831542,79196936,79660995,79711094,79879290,80331616,80378795,80473142,80649656,80697879,80714823,80728244,80864616,81164103,81335414,81549542,82082342,82484435,82523791,82611879,82625820,83022903,83374136,83476835,83529690,83564084,83670495,83765684,83785068,83866436,83866934,84321234,84369716,84486854,84620745,84971728,84999494,85004835,85204576,85599828,86001643,86338095,86415734,86423282,86706490,86715542,87194604,87372596,87969716,87999734,88087290,88134208,88255468,88389974,88487174,88924479,88951407,89096553,89098336,89248528,89303075,89355494,89476595,89754164,90262128,90306614,90373068,90671824,90730863,90929135,90972693,91233284,92093968,92215364,92509364,92641066,92705204,92803076,92893142,93236874,93632874,93693660,93795903,93959776,93962463,93975044,94169924,94179896,94300323,94429835,94496294,95520248,95593194,95796614,95855148,95947359,96089075,96137894,96267400,96305156,96374495,96392342,96412263,96454554,96561254,96623795,96858296,96990283,97526456,97739579,98347475,98483435,98616836,98624054,98720666,98865542,98887943,98981322,99150984,99442599,99670196,99714394,99818534,99920679,99939904,...,72672815560498571579749036655695857425592916141646102038733233478721773886466421170656586531562875804588384399433417942955848735394451879232122546858341253280430437248586061414661482163556430560395170383772781516376552627318239037144858813460723154170172715496161196180317973268126845159799315132175884842949480759874492089678623610280073313479020857803745960385816540999926964890122694887138121616074905629291369808646287484984996577437557262538191678707478421231253935367570323991566918496207970110565244558138424336685050336114315706827013219669781149911191821896488792817173449184017933412359501174977779411666688647525395044303649462821159579024080418106758943209530381191723999273170610852735406275644850598710264069845129415151984654469898388744189729583926423804037965321476348808145865619218718865107045965857899014582822205317629267197972063953353367151897984286680400012820835009245015458295833884562756332944668610977743421159539949082798877580210586628694021397886572826809125316085678064002292329860083776393569868309205657613910565868988965629589926273643465554518874964820308518294147160798100751041232221925716955657673457820099304257223297095172970584137949124143342277846321541738985469172216833287565641583579176707562213383035105774657564044588118828463195672522207946117966987935687378903269400902993986453647255631605303430039505271286593898197112368112858313527742435954860306516712763938588194272812541955293685362774006725941076552948925626554310347161347281066211605175148656792745259270292135897150761427265853904774759766742117713722373164464104810788541717604186001528412360393706703706723066623841088398826232257343348780174414082414317260120720589047190682883798780528278129201270858960813200986852915540777209406760323206888069556250557517343457985660651125040838443925849768203149960855830121195452889118612983685404321797495832514550695680150050471902495984010768661711259563236356251058113903828399745644930007708594225230409425123444614175418176361002782952506121258703092472193556416620320673216929515693527179153437184623873214841924532622558950167597490075069973540789686340881514117951905264927448847313591147828665484565442139995322594269640933528065576881645112264469096873234332758758800933290187875565219850551626255556698648664321466863934970595457510222637218427002430079650758945809283251142680787484208839595978117412153990620086394947375925282507373653616195482515187510531621753254824515934953519498241401967539974695553277796}
15575  3442629816662789082238281407718604189833273169902326350633266637: {124552,140121,606801,855745,1026894,1445313,1477345,1524782,1772814,1850569,2178260,2223793,2253445,2613912,2643670,2704134,2838513,2940651,3111800,3172404,3338305,3500775,3671841,3734160,3763342,3931873,3983104,4005966,4200930,4456249,4480992,4491349,4575745,5041116,5490894,5656405,5660564,6319489,6366070,6787686,7504405,7639284,7677254,7702009,7965505,8086520,8182729,8357313,8426245,8555377,9005286,9042913,9097335,9177681,9558606,9579416,9703824,9723513,9806305,10008404,10111494,10112545,10268481,10776843,10916802,10935169,11002870,11084313,11421289,11580289,11767566,12099205,12100033,12135054,12393289,12829575,12980361,12992276,13203444,13684880,13738244,13774945,14297720,14328201,14519046,14626873,14838805,15134313,15142405,15309622,15395490,15621670,15833846,16001979,16070389,16084935,16085972,16203745,16421856,16427566,16503289,16529934,16543270,17007681,17157264,17274441,17372137,17517313,17806566,17902261,18003769,18170886,18320545,18471445,18474588,18746004,19049975,19205593,19225345,19301922,19444494,19665561,19677205,19851924,20128705,20300293,20559049,20730145,21024001,21481045,21631105,21984654,22165734,22380805,22564281,22579129,22619780,22859970,22979960,23018324,23070414,23248489,23249336,23428705,23508949,23612646,23727745,23812741,24154446,24383968,24395313,24400921,24876174,25029524,25344974,25495189,25600993,25645417,25667605,25719670,25777254,25852455,25957326,26043733,26154697,26155503,26856966,26858005,26988806,27143736,27214250,27431964,27450542,27575952,27613993,28105369,28114441,28114446,28473294,28798041,28808017,29072372,29083105,29289073,29370070,29812142,29854981,30020942,30069529,30118405,30296134,30536703,30627553,30800084,30801126,30863604,31004245,31004295,31022946,31086982,31888645,32229606,32298673,32624545,32657100,32756341,32771605,32883320,33071248,33156121,33212545,33391713,33946645,34056073,34354342,34355929,34834240,34899726,34972705,35244084,35434897,35796241,35892673,35912774,36142086,36142945,36636310,36727105,36909875,36993735,37205094,37205154,37781686,37908884,37915401,38266374,38330245,38697973,38715601,38836959,38877500,39149454,39188520,39215060,39255001,39293353,39325926,39396435,39459984,39781153,39855054,40125961,40398321,40631809,40735974,41105269,41154310,41531960,41537846,41801088,41811205,41967246,42008372,42022864,42244822,42279193,42357656,42487849,42887060,42956470,43272889,43371534,43664806,43695049,43788134,43963572,43975105,44000120,44072526,44082201,44087085,44291850,44343889,44392482,44432017,44569713,44589524,44981845,45299361,45354164,45668329,45673364,45843205,45996294,46128241,46234475,46273345,46274773,46431541,46511121,46579489,46653000,46669623,46723455,46803142,46829432,47026224,47058072,47132545,47202433,47244640,47275722,47315029,47476641,47652363,47847445,47907217,48275905,48332276,48352033,48678681,48686689,48750289,48886964,49156484,49218433,49275361,49298726,49365169,49385172,49500135,49763200,49838352,49875321,49985413,50128405,50173446,50523814,50563921,50590713,50839105,51406945,51443989,51464472,51547764,51819649,51959497,52115845,52297177,52307281,52484625,52579753,52683111,52770126,52799444,52800144,52904502,52940331,52961313,53150220,53389345,53487673,53668281,53954305,53978214,54282392,54800545,54842241,55011846,55082305,55310313,55463353,55481370,55528014,55559075,55777556,55983600,56067205,56068146,56446489,56476713,56559054,56693568,57190405,57416934,57488737,57897531,57931086,58083289,58142113,58159621,58171105,59053006,59100361,59162329,59177972,59180128,59290742,59332006,59339780,59400162,59484081,59675797,59715840,59847745,60011960,60154086,60402081,60475214,60578254,60631041,60683905,61006926,61067691,61101445,61688334,61796545,62241097,62539014,62592193,62765017,62768005,62908761,62981550,63045205,63290641,63297334,63474310,63696896,63699320,63717814,63780264,64067214,64153496,64264964,64573369,64581337,64659841,64745166,64940241,65119105,65166164,65240470,65314969,65583182,65760654,65816135,66049250,66098766,66113977,66513001,66577644,66670890,66883633,67180320,67280646,67399401,67480873,67513455,67678249,67916161,68178601,68555605,68628486,68829445,69297319,69470612,69612321,69643270,69805326,69838520,69916597,70290164,70427209,70491441,70521670,70568449,70710681,70756539,71115616,71207736,71286805,71659008,71661735,71752797,71817294,72014352,72068953,72172683,72239313,72715441,72820686,72952369,72978229,73231969,73321734,73460245,73684633,73731205,73757361,74028070,74102996,74137345,74155854,74272645,74296695,74350262,74429254,74450702,74554004,74705017,74858374,75083605,75321606,75577860,75654246,75942889,76010446,76169172,76297345,76439184,76548513,76729861,76909393,77086486,77117432,77126341,77187441,77961044,77985284,78067669,78092462,78131857,78142926,78288564,78568335,78576454,78622441,78979362,78982945,79034293,79249808,79259100,79337846,79477814,79606729,80005068,80108703,80186245,80582222,80616384,80767489,81007177,81016146,81119905,81409273,82094521,82133749,82214804,82266726,82407409,82595334,82630004,82981345,83187896,83332513,83571924,83580217,83776705,83806224,84175561,84204614,84233975,84539960,84543040,84626004,84701060,84751009,84778993,84861572,84967045,84969121,85335649,85544166,85682329,85779982,85928313,85969364,85994082,86285845,86489336,86753833,86757111,86893606,86943513,87447416,87688837,87731905,88125445,88152294,88477446,88520014,88833684,88964814,89040901,89127174,89156034,89434645,89664310,90013942,90100326,90293204,90357289,90465094,90482806,90500293,90693432,90950313,91065855,91260805,91280774,91556814,91928569,92041045,92247670,92483161,92759497,92899892,93094520,93467689,93584422,93586383,93664801,93690260,93921841,93985345,94011524,94023050,94114645,94282002,94482561,94502305,94779534,94959493,95089592,95107455,95110920,95197417,95236153,95331854,95988854,96223494,96348049,96693094,96922609,97132726,97136912,97181481,97300503,97343886,97462405,98378343,98423974,98558881,98593454,98696473,98981749,98996170,99102649,99272361,99385921,99577614,99605701,99787849,99867889,...,109009223340747857369623554983543786138389374212469153058099850218082660829699631755984879797344313706882576599150126914433773103091677818848183820287511879920645655872879092121992223245334645840592755575659172274564828940977358555717288220191084731255259073244241794270476959902190267739698972698263827264424221139811738134517935415420109970218531286705618940578724811499890447335184042330707182424112358443937054712969431227477494866156335893807287518061217631846880903051355485987350377744311955165847866837207636505027575504171473560240519829504671724866787732844733189225760173776026900118539251762466669117500032971288092566455474194231739368536120627160138414814295571787585998909755916279103109413467275898065396104767694122727976981704847583116284594375889635706056947982214523212218798428828078297660568948786848521874233307976443900796958095930030050727846976430020600019231252513867523187443750826844134499417002916466615131739309923624198316370315879943041032096829859240213687974128517096003438494790125664590354802463808486420865848803483448444384889410465198331778312447230462777441220741197151126561848332888575433486510186730148956385834945642759455876206923686215013416769482312608478203758325249931348462375368765061343320074552658661986346066882178242694793508783311919176950481903531068354904101354490979680470883447407955145059257906929890847295668552169287470291613653932290459775069145907882291409218812932940528044161010088911614829423388439831465520742020921599317407762722985189117888905438203845726142140898780857162139650113176570583559746696157216182812576406279002292618540590560055560084599935761632598239348386015023170261621123621475890181080883570786024325698170792417193801906288441219801480279373311165814110140484810332104334375836276015186978490976687561257665888774652304724941283745181793179333677919475528106482696243748771826043520225075707853743976016152992566889344854534376587170855742599618467395011562891337845614137685166921263127264541504174428759181888054638708290334624930481009825394273540290768730155776935809822262886798933838425251396235112604960311184529511322271176927857897391173270970386721742998226848163209992983891404461400292098365322467668396703645309851499138138201399935281813347829775827439383335047972996482200295902455893186265333955827640503645119476138418713924876714021181226313259393967176118230985930129592421063887923761060480424293223772781265797432629882236773902430279247362102951309962043329916694}
15576  3457909305189697301146029762074588166316282815655546846717845614: {108983,155690,186828,264503,715346,809068,1224263,1285919,1369192,1459538,1540341,1593719,1685903,1927084,2115143,2287173,2298623,2363752,2512319,2659221,2722825,2968919,3060023,3125546,3267390,3309938,3484223,3485216,3494186,3605512,3784684,3889750,3920868,3936983,3965505,4027319,4046066,4056201,4117583,4229872,4237823,4667700,4687583,4758606,4777319,4837103,4895788,4978880,5314223,5328746,5341288,5462903,5601240,5645013,5818919,5876306,5907743,5974656,6008949,6058538,6301395,6645143,6721488,7075705,7321192,7523423,7561674,7581719,7872719,8236341,8381989,8452319,8490846,8884919,9050248,9086183,9258383,9493586,9549105,9659063,9744719,10108150,10181529,10185712,10540703,10567538,10879919,11143084,11458926,11515881,11778863,11946503,11974270,12007048,12129780,12141719,12168746,12225263,12236908,12364343,12510505,12558719,12641903,12697319,12744808,12891023,12938432,12964684,13304783,13406066,13469783,13481992,13507929,13691308,13716743,13853663,14109938,14337909,14344919,14369124,14555736,14752319,14779084,14811506,14833583,15012606,15022919,15103943,15167241,15685226,15690088,15749543,15883463,16180072,16240345,16310663,16375203,16504305,16629719,16728938,17079743,17106100,17172805,17307148,17604592,17632463,17651349,17872150,17894423,18202581,18337919,18456938,18908423,19104268,19358728,19488414,19805166,19833623,20107465,20139719,20170538,20179084,20190623,20266919,20341106,20343169,20527320,20607366,20975543,21025919,21335972,21446580,21652919,21778569,21895808,21952103,22038866,22039912,22101263,22472903,22522319,22545386,22676908,22876352,22964433,23032588,23093235,23137319,23210783,23432505,23503919,23552663,23577023,23742088,23750769,24128958,24159263,24224426,24227848,24391538,24445993,24520823,24632784,24640943,24641349,24794901,24814905,24994672,25224938,25357463,25594703,25735896,25736663,25854743,25925992,26066783,26220748,26469232,26559023,26709849,26908463,27140423,27256329,27539306,27601943,27703538,27711882,27762719,27867626,27877319,28119006,28174343,28274725,28288223,28447319,28685906,28724950,28772905,28937342,28952883,29061670,29166741,29192063,29312872,29500586,29554312,29777886,29839343,29861543,29987666,30085708,30171503,30479960,30633503,30760552,31048463,31157183,31286905,31483528,31503743,31546919,31611623,31805303,32205928,32339903,32403719,32446223,32527084,32976981,33100943,33142919,33168232,33201746,33248601,33519986,33664919,33830903,33913703,33929670,34154738,34289955,34325783,34346303,34369672,34469940,34527486,34530623,34591919,34605621,34609768,34632743,34874004,35301719,35418969,35442503,35542823,35809288,35961983,36100919,36140543,36191648,36231669,36340465,36554663,36575952,36633143,36767936,36770006,36926303,37062949,37140143,37314261,37314383,37372319,37485928,37544286,37718423,37947719,37964392,38017461,38080943,38194823,38397388,38478263,38500105,38572343,38579505,38665881,38841938,38853383,38935989,39262319,39299303,39630719,39868463,40086719,40285449,40483209,40501823,40573583,40627319,40715604,40716719,40821375,40975753,41068168,41104150,41147946,41151472,41160719,41175813,41339060,41363928,41370142,41512319,41686919,41894738,41895383,41947319,41981903,41999183,42045866,42171669,42496823,42547919,42598943,42709941,42799346,42972808,43172183,43255703,43305719,43422143,43471919,43542800,43608558,43719719,44014703,44055105,44500583,44522284,44692919,44718213,44724863,44889938,45010919,45031413,45357023,45444201,45683783,45868919,46200126,46201689,46220543,46295406,46365938,46507823,46532968,46534419,46630473,46672823,46732583,46851719,46896263,46992112,46999919,47098538,47264663,47293919,47337743,47386105,47439719,47497093,47613623,47972906,48189448,48199103,48344409,48409943,48465863,48596875,48743543,48922319,48985650,49018825,49324980,49557383,49597319,49606792,49606872,49729919,49795919,49849586,49887983,49953503,49966583,50136146,50161823,50380919,50470463,50508719,50553868,50724143,50736743,50949719,51021832,51258719,51295463,51418538,51531513,51646943,51782612,51914950,52199272,52248743,52251360,52349589,52364303,52421783,52434568,52510465,52524743,52528580,52613312,52706183,52807343,52866126,52930103,52947070,53140072,53303423,53422223,53497319,53529383,53608825,53678063,53864428,53869161,54124919,54213129,54226538,54314632,54327719,54477719,54507503,54576719,54625919,54945623,54954465,54983783,55000150,55012319,55031303,55125743,55153919,55312223,55339919,55449983,55728983,55734784,55736905,55807641,55807731,55956328,56069063,56094719,56134309,56162783,56247143,56263919,56294738,56363903,56446343,56470919,56672529,56692705,56728583,56807423,56840786,56863326,56869919,56924183,57008663,57077063,57091705,57189623,57285719,57399561,57558863,57586943,57607919,57732263,57790826,57828712,57847319,57946919,58012319,58044719,58128023,58308983,58316250,58435823,58536790,58547543,58618096,58633703,58650719,58695743,58724181,58763368,58776268,58782780,58822590,58860023,58923719,58988889,59001938,59055800,59112863,59152319,59166983,59186423,59189976,59258183,59364719,59426284,59445143,59488703,59548343,59662919,59669738,59721719,59733263,59782581,59786183,59797319,59802866,59808383,59833919,59862623,59876783,59945663,59949023,59978903,59995223,60052319,60091943,60191903,60218663,60291743,60315383,60322319,60353449,60360263,60397919,60399148,60415345,60421583,60445919,60544703,60562343,60563543,60573983,60579503,60582719,60589943,60600503,60610919,60630743,60631919,60633623,60638783,60645023,60645719,60648719,60651719,60652103,61103961,61108705,61328392,61445605,61657717,61731465,61782506,62014828,62204000,62226164,62297940,62304938,62306769,62701632,62744096,62950869,63012558,63034296,63302188,63367233,63471986,63536484,63729746,64243538,64330590,64434705,64904908,65057301,65197873,65497209,65682201,65846896,65945358,65999305,66000180,66023666,66108789,66437775,66451136,66500428,66588723,66884286,66897928,67277906,67454284,67477753,67852990,67899626,68031246,68147306,68510046,68619296,68640938,68730352,68763986,68994441,69343582,69721945,69979500,70204713,70244148,70360168,70400192,70539336,70587108,70592426,70615084,70866960,70913583,71557708,71970952,72498414,72743786,72789409,73122988,73330446,73349128,73567826,73734726,73747084,73948089,73972465,73975160,74035538,74037352,74077758,74174725,74644800,74732786,74757528,75014950,75260169,75302284,75412072,75591424,75678169,75785721,76516489,76555912,77019506,77196708,77241448,77321646,78029738,79155189,79199166,79200216,79312108,79356753,79621120,79624150,79725330,80124146,80191870,80205448,80331205,80536108,80703733,80841388,80967321,81342568,81420146,81423588,81457705,81847538,82251112,82272626,82517769,83010986,83203393,83222055,83292021,83385352,83666334,83846186,83878348,83949938,83975400,84102219,84838581,84994798,85040352,85081706,85422952,86095466,86125401,86326888,86586988,86838265,86896629,87298150,87391826,87490538,87680872,87862705,88131688,88579509,88766958,88770192,88857386,88894520,88936113,88953938,88998009,89009670,89100243,89434538,89573760,89707528,89865868,90017940,90231129,90712821,90867381,90940993,91313257,91320938,91504648,91510389,92532501,92628745,92816428,93073768,93192505,93808521,93953906,93988588,94280908,94342052,94472325,94483538,94943648,94946001,95211465,95545344,95548980,95576721,95670396,95756392,96019136,96100821,96230244,96296426,96319084,96396790,96397446,97094248,97117749,97451305,97481605,97749246,97762312,97860705,98290538,98343148,98374773,98640981,98874472,99062260,99073875,99096938,99148149,99415466,99866466,99888938,...,163513835011121786054435332475315679207584061318703729587149775327123991244549447633977319696016470560323864898725190371650659654637516728272275730431267819880968483809318638182988334868001968760889133363488758411847243411466037833575932330286627096882888609866362691405715439853285401609548459047395740896636331709717607201776903123130164955327796930058428410868087217249835671002776063496060773636168537665905582069454146841216242299234503840710931277091826447770321354577033228981025566616467932748771800255811454757541363256257210340360779744257007587300181599267099783838640260664040350177808877643700003676250049456932138849683211291347609052804180940740207622221443357681378998364633874418654664120200913847098094157151541184091965472557271374674426891563834453559085421973321784818328197643242117446490853423180272782811349961964665851195437143895045076091770464645030900028846878770801284781165626240266201749125504374699922697608964885436297474555473819914561548145244788860320531961192775644005157742185188496885532203695712729631298773205225172666577334115697797497667468670845694166161831111795726689842772499332863150229765280095223434578752418464139183814310385529322520125154223468912717305637487874897022693563053147592014980111828987992979519100323267364042190263174967878765425722855296602532356152031736469520706325171111932717588886860394836270943502828253931205437420480898435689662603718861823437113828219399410792066241515133367422244135082659747198281113031382398976111644084477783676833358157305768589213211348171285743209475169764855875339620044235824274218864609418503438927810885840083340126899903642448897359022579022534755392431685432213835271621325356179036488547256188625790702859432661829702220419059966748721165210727215498156501563754414022780467736465031341886498833161978457087411925617772689769000516879213292159724044365623157739065280337613561780615964024229488850334017281801564880756283613899427701092517344337006768421206527750381894690896812256261643138772832081958062435501937395721514738091410310436153095233665403714733394330198400757637877094352668907440466776794266983406765391786846086759906455580082614497340272244814989475837106692100438147547983701502595055467964777248707207302099902922720021744663741159075002571959494723300443853683839779398000933741460755467679214207628070887315071031771839469889090950764177346478895194388631595831885641590720636439835659171898696148944823355160853645418871043154426964943064994875041}
15577  3473256073588699376499851862529116755223554427696153126240561982: {233535,249104,280242,1011335,1073019,1198043,1213602,1711490,2053788,2068283,2189307,2408855,2628119,2890626,2954690,3049564,3154823,3545628,3701138,4356520,4447586,4506890,4646759,4673627,4688319,4730855,4901085,4964907,5019743,5227824,5241279,5287340,5408268,5677026,5834625,5881302,6069099,6119735,6223600,6344808,6406043,6676610,7001550,7137909,7343682,7468320,7468487,7526684,7863746,7918967,7966208,7993119,8011932,8401860,8814459,8912498,8961984,8982698,9087807,9145403,9151490,10082232,10506167,10687079,10981788,11151707,11312810,11321128,11342511,11796743,12440879,12638978,12732140,12736269,13497887,13575372,13728827,13851323,13928855,14157563,14240379,14300039,15008810,15162225,15278568,15296135,15340379,15354508,15404018,15851307,15931010,16173040,16205855,16365458,16643303,16714626,16852490,16938887,17110754,17114135,17188389,17646527,17961023,17961405,18010572,18085826,18194670,18253119,18355362,18473855,19117212,19158832,19284923,19407648,19447026,19503887,19612610,20016808,20109099,20222988,20225090,20536962,20702279,20774327,21164907,21199367,21382625,21553686,21568283,21633935,21736679,21833604,21870338,22005740,22168626,22217259,22518909,22685243,22697519,22842578,23160578,23527839,23535132,23587883,23880335,24198410,24200066,24270108,24655727,24786578,25093407,25223855,25454999,25648763,25659150,25860023,25960722,25984552,26406888,26669965,26808225,26915483,26942327,27314159,27369760,27475487,27476488,27548087,27549890,27685407,28180187,28346135,28494623,28595440,28630703,28656402,28790735,29022203,29038092,29232621,29253746,29677610,29707749,30073463,30255719,30255807,30268626,30283547,30284810,30511659,30619244,30790980,30911049,31243340,31333127,31411883,31667692,32003958,32140778,32169870,32171944,32407490,32634719,32636879,32775935,32800187,32843712,32855132,33006578,33058299,33059868,33086540,33218843,33818079,34015362,34314528,34548882,34614359,34744274,35015399,35034626,35613132,35804522,35934647,36007538,36193437,36196199,36336639,36341772,36587307,36603419,36641090,36942890,36949176,37492008,37601207,37607135,37837407,37878683,38099950,38171159,38357567,38397803,38411186,38450690,38603844,38888988,39331122,39354410,39703848,40257410,40585679,40600586,40658855,40716347,41118098,41308959,41460290,41555307,41567823,41776367,41801439,42048002,42165767,42178509,42962090,43028859,43087425,43262210,43405943,43406013,43463663,43592505,43969308,44250879,44331468,44560427,44644103,44666829,44761610,44981499,45062267,45128562,45158258,45192503,45239560,45674363,45719940,45880247,45941183,45959920,46036648,46140828,46437599,46496978,46497563,46498672,46585583,46857410,47017898,47225292,47455490,47525303,47625482,47996735,48308892,48532079,48767936,48790626,48801842,48802679,48835643,48961787,49309499,49752348,49802619,49966319,50059048,50279979,50600123,50689948,50880143,50894505,50990378,51140687,51201986,51211163,51232107,51290834,51335210,51417947,51439340,51529643,51554508,51673825,51704910,51791229,51914652,51966263,52087466,52309394,52311006,52881503,53662343,53713932,53716010,53977612,54287472,54428500,54863928,54901084,55048487,55056863,55144619,55151904,55155009,55227986,55424927,55652855,56210738,56228882,56228892,56316429,56946588,57369563,57496223,57596082,57616034,57695543,57700859,58072379,58144744,58166210,58167239,58262907,58418063,58535687,58578146,58740140,59624284,59683583,59709962,59779919,60041884,60139058,60236810,60592268,61073406,61077803,61255106,61358363,61400903,61565147,61600168,61602252,61656225,61721919,61727208,62008490,62008590,62045892,62055213,62173964,62336879,62761943,62842107,62974583,63068799,63192335,63314603,63777290,63997799,64180487,64199019,64459212,64500287,64597346,64728265,64782683,65249090,65314200,65412837,65512682,65543210,65547599,65660725,65766640,65985563,66122603,66142496,66312242,66425090,66696479,66709487,66783426,66986423,67330535,67334907,67586267,67893290,68112146,68187479,68643887,68708684,68711858,68767679,68943263,69300189,69323627,69443109,69548907,69563579,69668480,69799452,69945410,70075223,70179767,70436423,70488168,70647807,70869794,70979627,71174747,71592482,71785346,71825548,71959359,71961179,71969723,72284172,72285890,72425687,72962183,72999083,73272620,73443323,73454210,73470335,73478475,73497647,73819750,73987470,74282855,74410188,74410308,74682107,74745083,74774379,75204219,75498935,75536027,75563372,75817768,75830802,76532748,76660490,76720763,77115227,77127807,77395946,77431202,77518535,77673918,77730299,77755000,77782705,77872425,78142079,78298908,78377040,78430120,78494087,78510002,78586706,78632699,78651852,78712763,78792870,78919968,79127735,79207343,79299189,79310207,79420605,79562306,79710108,80066567,80251922,80796642,81131135,81263618,81339807,81439547,81471948,81563903,82210538,82308620,82445399,82500225,83063920,83075692,83125535,83602176,83622410,83753183,83786843,83934492,84016744,84045728,84317855,84442107,84489644,84558386,84715312,84850583,84879959,84957467,84975698,85172399,85261179,85294989,85542023,85774120,85789547,85912940,86515163,86530043,86545778,86686239,86743068,87081839,87329612,87390098,87474375,87576268,87805185,87875207,87927144,87950210,88000240,88145052,88164402,88174170,88233885,88263287,88268855,88502907,88579079,88583700,88687778,88784964,88864034,89139426,89179048,89359847,89447135,89504607,89704299,89750687,89963690,90598722,90708328,90892919,91166747,91336658,91346728,91403735,91686410,91796543,91992588,92142589,92183855,92256482,92468950,92546690,92549546,92673759,92738687,92863082,93022242,93158978,93306000,93339246,93446910,93457407,93606284,93658864,93736343,94052448,94116144,94127855,94265090,94404866,94489280,94518837,94551444,94630058,94789127,94953282,94989767,95207979,95304726,95452487,95594619,95694890,95762603,95814434,95977847,96210959,96300767,96361223,96365307,96495885,96551810,96664552,96704066,96839879,97329767,97357362,97373378,97500578,97773928,98312968,98436866,98483879,98550722,98597452,98730338,98770344,98918037,99000270,99035499,99140135,99398939,99526400,99676704,99750642,99801527,99881819,99970826,...,218018446681495714739247109967087572276778748424938306116199700436165321659399263511969759594688627413765153198300253828867546206183355637696367640575023759841291311745758184243984446490669291681185511151318344549129657881954717111434576440382169462510518146488483588540953919804380535479397945396527654528848442279623476269035870830840219940437062573411237881157449622999780894670368084661414364848224716887874109425938862454954989732312671787614575036122435263693761806102710971974700755488623910331695733674415273010055151008342947120481039659009343449733575465689466378451520347552053800237078503524933338235000065942576185132910948388463478737072241254320276829628591143575171997819511832558206218826934551796130792209535388245455953963409695166232569188751779271412113895964429046424437596857656156595321137897573697043748466615952887801593916191860060101455693952860041200038462505027735046374887501653688268998834005832933230263478619847248396632740631759886082064193659718480427375948257034192006876989580251329180709604927616972841731697606966896888769778820930396663556624894460925554882441482394302253123696665777150866973020373460297912771669891285518911752413847372430026833538964625216956407516650499862696924750737530122686640149105317323972692133764356485389587017566623838353900963807062136709808202708981959360941766894815910290118515813859781694591337104338574940583227307864580919550138291815764582818437625865881056088322020177823229658846776879662931041484041843198634815525445970378235777810876407691452284281797561714324279300226353141167119493392314432365625152812558004585237081181120111120169199871523265196478696772030046340523242247242951780362161767141572048651396341584834387603812576882439602960558746622331628220280969620664208668751672552030373956981953375122515331777549304609449882567490363586358667355838951056212965392487497543652087040450151415707487952032305985133778689709068753174341711485199236934790023125782675691228275370333842526254529083008348857518363776109277416580669249860962019650788547080581537460311553871619644525773597867676850502792470225209920622369059022644542353855715794782346541940773443485996453696326419985967782808922800584196730644935336793407290619702998276276402799870563626695659551654878766670095945992964400591804911786372530667911655281007290238952276837427849753428042362452626518787934352236461971860259184842127775847522120960848586447545562531594865259764473547804860558494724205902619924086659833388}
15578  3488670415770617066309175307414142854660591458520900188769794896: {217966,295621,311380,373656,420363,529006,575017,1039237,1430692,1618136,1820403,1962277,2146021,2329477,2448526,2567235,2571838,2738384,2919076,3080682,3187438,3371806,3514921,3811955,3854168,4148197,4230286,4335939,4432035,4574346,4597246,4688197,4727504,5024638,5136217,5318442,5445650,5551707,5760421,5937838,6120046,6251092,6534780,6609175,6619876,6646021,6671379,6760335,6910297,6968446,6970432,6988372,7211024,7349317,7569368,7779500,7841736,7873966,7931010,8054638,8092132,8112402,8221957,8235166,8459744,8475646,8515539,8821953,9335400,9375166,9408355,9431557,9517212,9554638,9674206,9791576,9905987,9957760,10014915,10286917,10502325,10542121,10628446,10657492,10682576,10796677,10925806,11015523,11135077,11202480,11219497,11290026,11637838,11752612,11795619,11815486,11949312,11976037,12017898,12117076,12602790,13290286,13368747,13442976,13474047,13727235,14151410,14642384,14862697,15046846,15123348,15163438,15745438,15915175,16152937,16312921,16472682,16763978,16870597,16904638,16969215,16981692,17514707,17661157,17739817,17769838,18100496,18172366,18516766,18522457,18911077,18958467,18987172,19098210,19193135,19318126,19489438,19606057,20216300,20218921,20363058,20371424,20751397,21081406,21135076,21730921,21759838,21955237,22104421,22286168,22513215,22736483,22917852,23031762,23067097,23106027,23557726,23580421,23893006,23896515,23948540,24014096,24041927,24162757,24259560,24283438,24337492,24450526,24473816,24548187,24668521,24728686,25021010,25071939,25117438,25278735,25283806,25394638,25489616,25598437,25666131,25782046,25876864,25929368,26586277,26609566,26812132,26939566,26963984,27005317,27015858,27128739,27283237,27292005,27382616,27433486,27507175,27533043,27707326,28150451,28219876,28675818,28689838,28723417,28738248,28890719,28994137,29111472,29170539,29196421,29418915,29504638,29558168,29623012,29667166,29866021,29999077,30025212,30045838,30198121,30207886,30330457,30334482,30337635,30396517,30660037,30805443,31370452,31380176,31499086,31766926,32330529,32360144,32480690,32621326,32750406,32805507,33008610,33252939,33259438,33457876,34159486,34212200,34263867,34345610,34351621,34474597,34614296,34658521,34740867,35209184,35264926,35266921,35302698,35744300,35748457,35788846,36297615,36300099,36343897,36405162,36675838,36913876,37179867,37743577,37816846,38087017,38208536,38274055,38314537,38371237,38488725,38717456,38878297,38941083,38976828,39054175,39324121,39490117,39584615,39610332,39667246,40214930,40279438,40282067,40341076,40358168,40381246,40526377,40533838,40682212,40686338,41054640,41068915,41214732,41324835,41358175,41951086,42006121,42051838,42520921,42623017,42671944,42876997,42893160,42984603,43179397,43305838,43429417,43557138,43791616,43801667,43874917,43880619,43904206,44077732,44079824,44202526,44266021,44516415,44945806,45044638,45090772,45129157,45353816,45364777,45402939,45427215,45458521,45752704,45928866,46065176,46186470,46274638,46421566,46515877,46695877,46865010,47007838,47105326,47140837,47154046,47484176,47501538,48005937,48211167,48221737,48254805,48257916,48318526,48448852,48455696,48611235,48683077,48766021,48783076,48891986,49041646,49265568,49281886,49282698,49499557,49509867,49589802,49629810,49896997,49975621,49989344,50441317,50449876,50632297,50714926,50746021,50876651,51023043,51189406,51471792,51473326,51668521,51709486,51823323,51851984,52116411,52133566,52441496,52551939,52614277,52938464,52951237,53118046,53313577,53419698,53443177,53539621,53706783,53816926,53856421,53900147,54011307,54012121,54280846,54484243,54512658,54961635,55051621,55078612,55136617,55203886,55332421,55407076,55414335,55423764,55525438,55735252,55740121,55754638,56080357,56238012,56348686,56506921,56549450,56576446,56676517,56866021,56894638,56935897,57028057,57149925,57371812,57449900,57545810,57616779,57676035,57703237,57874684,57905766,58123340,58234921,58333482,58384126,58454377,58560217,58625744,58680421,58730857,58797097,58813477,58878277,58926121,58996683,59001172,59031615,59080921,59108624,59184997,59199577,59271397,59341417,59462917,59555772,59678686,59723086,59769817,59825797,59962921,59975332,60041257,60106021,60132697,60171416,60271621,60343006,60386115,60438121,60492121,60525637,60530137,60571177,60578521,60616537,60660421,60668521,60900879,60959920,61267006,61521104,61677147,62096926,62190435,62314366,62573810,62967056,63007486,63072003,63093838,63223246,63362435,63610606,64299175,64411856,64443135,64679806,64807438,64892446,64893315,65054168,65953962,66201886,66285838,66336464,66340547,66403492,66497202,66781627,67039972,67142415,67329838,67472015,67661806,67692843,67737387,67827406,67859340,68035625,68309476,68579910,68626355,68651566,68692606,68739344,68939880,69054972,69061246,69183838,69211242,69219536,69265486,69745467,69748008,70286115,70526847,70603438,70837938,70885006,71085646,71183235,71438223,71618576,71923966,72201838,72281086,72383296,72463338,72680930,72868211,73109326,73151904,73185939,73202763,73266286,73425175,73514651,73535872,73540012,73852606,74125898,74280286,74530355,74628522,74628766,74744638,74971856,75052355,75088572,75436846,75740335,75895438,75928784,76034922,76161886,76284151,76389646,76485567,76794776,76802979,76936251,76956526,77000210,77002815,77144686,77159010,77331762,77557365,77683876,77706766,77717455,77871978,78031667,78131199,78464091,78466509,78524638,78598606,79261438,79369787,79736926,79928387,80173438,80570898,80574015,80966418,81003646,81147166,81254638,81431208,81433438,81642750,81951506,82136336,82208300,82295892,82302944,82321438,82351626,82678120,82727856,82740284,82841979,83024638,83373838,83789476,83790766,83894638,83963806,83998366,84091732,84316107,84343323,84343338,84581483,84993646,85095838,85197886,85419882,85552187,85598692,85885855,85945616,86023847,86344366,86394123,86424051,86511406,86611438,86844286,86943838,87085600,87217116,87249315,87439438,87867219,88029406,88110210,89001166,89044568,89385838,89436426,89449726,89564943,89779876,89781935,90021838,90062826,90208587,90355215,90714046,90888402,91367566,91590775,91610109,91737838,91882659,92399027,92400252,92403378,92441086,92590812,92731876,93012735,93012885,93015646,93065936,93068838,93260946,93345646,93465166,93703438,93792526,93984224,93999838,94197076,94454215,94529326,94587838,94675486,94772210,94879438,94994186,95227246,95377139,95665935,95945812,96378896,96398206,96688818,96819886,96896019,96931726,97193750,97487086,97610723,97844638,97873635,97971300,98037650,98269023,98314815,98649960,99114766,99194638,99213584,99213744,99459838,99468363,99591838,99637635,99699172,99775966,99907006,99933166,...,327027670022243572108870664950631358415168122637407459174299550654247982489098895267954639392032941120647729797450380743301319309275033456544551460862535639761936967618637276365976669736003937521778266726977516823694486822932075667151864660573254193765777219732725382811430879706570803219096918094791481793272663419435214403553806246260329910655593860116856821736174434499671342005552126992121547272337075331811164138908293682432484598469007681421862554183652895540642709154066457962051133232935865497543600511622909515082726512514420680721559488514015174600363198534199567677280521328080700355617755287400007352500098913864277699366422582695218105608361881480415244442886715362757996729267748837309328240401827694196188314303082368183930945114542749348853783127668907118170843946643569636656395286484234892981706846360545565622699923929331702390874287790090152183540929290061800057693757541602569562331252480532403498251008749399845395217929770872594949110947639829123096290489577720641063922385551288010315484370376993771064407391425459262597546410450345333154668231395594995334937341691388332323662223591453379685544998665726300459530560190446869157504836928278367628620771058645040250308446937825434611274975749794045387126106295184029960223657975985959038200646534728084380526349935757530851445710593205064712304063472939041412650342223865435177773720789672541887005656507862410874840961796871379325207437723646874227656438798821584132483030266734844488270165319494396562226062764797952223288168955567353666716314611537178426422696342571486418950339529711750679240088471648548437729218837006877855621771680166680253799807284897794718045158045069510784863370864427670543242650712358072977094512377251581405718865323659404440838119933497442330421454430996313003127508828045560935472930062683772997666323956914174823851235545379538001033758426584319448088731246315478130560675227123561231928048458977700668034563603129761512567227798855402185034688674013536842413055500763789381793624512523286277545664163916124871003874791443029476182820620872306190467330807429466788660396801515275754188705337814880933553588533966813530783573692173519812911160165228994680544489629978951674213384200876295095967403005190110935929554497414414604199805845440043489327482318150005143918989446600887707367679558796001867482921510935358428415256141774630142063543678939778181901528354692957790388777263191663771283181441272879671318343797392297889646710321707290837742086308853929886129989750082}
15579  3504152626920058166458407902593744093882768933485862788816236444: {326949,389225,467070,498208,560484,793509,1415869,1788365,2022670,2146038,2396086,2427204,2908037,3372397,3422980,3648845,3672789,3857757,4107576,4136566,4378614,4621023,4781157,4817710,5057709,5256238,5610301,5781252,5909380,6099128,6309646,6345429,6623197,6861519,6895869,7002677,7091256,7402276,7536957,7813865,7977663,8168475,8274845,8567629,8713040,8735465,8895172,8906757,9013780,9180069,9293518,9347254,9376638,9461710,9724375,9802170,9929814,10039486,10115165,10356509,10452669,10455648,10482558,10574680,10816536,11354052,11669250,11762604,11810949,11896515,12081957,12103157,12138198,12168603,12239470,12352749,12447200,12689616,12713469,12812086,13321865,13353220,14003100,14062749,14275818,14331957,14511309,14687364,14690765,14702857,14936640,14936974,15053368,15146345,15727492,15837934,15932416,15942669,15986238,16023864,16388709,16803720,16935039,17183837,17456757,17628918,17723229,17791117,17824996,17923968,17965396,18026847,18175614,18197597,18290806,18302980,18904185,19500397,19722589,19935429,20164464,21012334,21029429,21227115,21374158,21414589,21963576,22303414,22570269,22625620,22642256,22685022,22688197,22745157,23410649,23593486,23618157,23733965,23818889,23959789,24709023,24881758,25145967,25270375,25277956,25356957,25464280,25472538,25489789,25863397,26050457,26418845,26546537,26654757,26995774,27150744,27258549,27457654,27702646,27775149,27857710,27876589,28291637,28315126,28480758,28600078,28646557,28647315,28977189,29234157,29537957,29935675,30017620,30287509,30324450,30421865,30544587,30557136,30592270,30680758,30709016,30808036,31622109,31660949,31702614,31862020,31999021,32307077,32346080,32411710,32639757,32730916,33286606,33429252,33432469,33515165,33704980,33877774,34221508,34228270,34376778,34547643,35274845,35293054,35313397,35336589,35839509,35922046,35922810,36021144,36171652,36389340,36425157,36506238,36675789,36710724,36947710,37028765,37093029,37229069,37337951,37531515,37676157,37925709,38091957,38234424,38317664,38569846,38570857,38673069,38815296,38894052,39007774,39041129,39213065,39225220,39684589,39904841,39914349,40033616,40136357,40218198,40299941,40307029,40409349,40445976,40450180,40523787,41073924,41150229,41404558,41548654,41560989,41822345,42329814,42398734,42765250,42906629,43013727,43034757,43107372,43136566,43267870,43463657,43473358,43667208,43740676,44011480,44256957,44337252,44434518,44500749,44680375,45024437,45037818,45068757,45269741,45311829,45370486,45395038,45501723,45685156,45886309,46142345,46321156,46461157,46810469,47055678,47070264,47175766,47248629,47252117,47650389,47760670,47919629,48365309,48396820,48400132,48540216,48721035,48931989,49125609,49311454,49512915,49573156,49889157,50186814,50426345,50447710,50852765,50909998,51239229,51297526,51318300,51518415,51593357,51720046,51921444,51969104,52168381,52649989,52813776,52897389,52954047,53339930,53616450,53683269,53819741,53830966,53884654,54607743,54628318,54739520,54950974,54952976,55013757,55055689,55096174,55097165,55099780,55370814,56360374,56363465,56692270,56725269,56922397,56989246,57190880,57261406,57312804,57581470,58044406,58076184,58079941,58465242,58507492,58838029,59355220,59415498,59500869,60146926,60322395,60419157,60511438,60511614,60537252,60561065,60567094,60569620,60571869,60718169,60800757,60898669,60978845,61023318,61029507,61208957,61235849,61238488,61534141,61581960,61822098,62486680,62666254,62823766,62926629,63062345,63077757,63148237,63307109,63335384,64007916,64281556,64339740,64343888,64396069,64598069,64814980,64958757,65269438,65273758,65335707,65551870,65600374,65687424,65710264,65856309,66013156,66116598,66119736,66173080,66303789,66437686,66547721,66705181,67195429,67418709,67566957,67636158,67933757,68030724,68401829,68629056,68848265,68893299,69039529,69097764,69228718,69258845,69279705,69411957,69488548,69591629,69632349,69669065,69821741,70030798,70069252,70145701,70297515,70511757,70657989,70731069,71226264,71252307,71609044,71714765,71764517,71812375,71869294,72015076,72306349,72343355,72386874,72392398,72477789,72514429,72654175,72673278,72683544,73174614,73206838,73282180,73337979,73562469,73670857,73751465,73885780,73898352,73922829,73924047,74384703,74400541,74444715,74499869,74826349,74907997,74969165,74984016,75202414,75214270,75512149,75674814,75757366,76054889,76072389,76199900,76342318,76607597,76715134,76784109,76795606,76822372,76901380,77146409,77207688,77209989,77564229,77573837,77777976,77913997,78200349,78662244,78708820,78723061,79407696,79677069,80032709,80129547,80514820,80725389,81171358,81201172,81317710,81421269,81430877,81432694,81768987,82144429,82236196,82617918,82805829,82920580,83004365,83110614,83135646,83288157,83552734,83602878,83631957,83799965,84096004,84331534,84357018,84523029,84824175,84864669,85073501,85341957,85386845,85924180,85989517,86057718,86174850,86318715,86507417,86524420,86811886,86812026,86858649,86927326,87185010,87500223,87576189,87938616,88469269,88501758,88662936,88967509,89120854,89288206,89333658,89518029,89523220,89584629,89962998,90124534,90257124,90316516,90385006,90432389,90479120,90514509,90619571,91348726,91439880,91760494,91882366,91900509,91919840,91925015,92073296,92281656,92308457,92875198,92993956,92995126,92997344,93145389,93171166,93471549,93714820,93860715,94035796,94262749,94450584,94511229,94580669,94640757,94687981,94823957,94834869,94910980,95050606,95250964,95415909,95993470,96617784,97019709,97064158,97104845,97211157,97302269,97338669,97535872,97581252,97603684,97605358,97671286,97923574,98618998,98630741,98930943,99302829,99428757,99504696,99605238,99745803,99932638,...,490541505033365358163305997425947037622752183956111188761449325981371973733648342901931959088049411680971594696175571114951978963912550184816827191293803459642905451427955914548965004604005906282667400090466275235541730234398113500727796990859881290648665829599088074217146319559856204828645377142187222689908995129152821605330709369390494865983390790175285232604261651749507013008328190488182320908505612997716746208362440523648726897703511522132793831275479343310964063731099686943076699849403798246315400767434364272624089768771631021082339232771022761900544797801299351515920781992121050533426632931100011028750148370796416549049633874042827158412542822220622866664330073044136995093901623255963992360602741541294282471454623552275896417671814124023280674691503360677256265919965354454984592929726352339472560269540818348434049885893997553586311431685135228275311393935092700086540636312403854343496878720798605247376513124099768092826894656308892423666421459743684644435734366580961595883578326932015473226555565490656596611087138188893896319615675517999732002347093392493002406012537082498485493335387180069528317497998589450689295840285670303736257255392417551442931156587967560375462670406738151916912463624691068080689159442776044940335486963978938557300969802092126570789524903636296277168565889807597068456095209408562118975513335798152766660581184508812830508484761793616312261442695307068987811156585470311341484658198232376198724545400102266732405247979241594843339094147196928334932253433351030500074471917305767639634044513857229628425509294567626018860132707472822656593828255510316783432657520250020380699710927346692077067737067604266177295056296641505814863976068537109465641768565877372108578297985489106661257179900246163495632181646494469504691263242068341403209395094025659496499485935371262235776853318069307001550637639876479172133096869473217195841012840685341847892072688466551002051845404694642268850841698283103277552033011020305263619583251145684072690436768784929416318496245874187306505812187164544214274230931308459285700996211144200182990595202272913631283058006722321400330382800950220296175360538260279719366740247843492020816734444968427511320076301314442643951104507785166403894331746121621906299708768160065233991223477225007715878484169901331561051519338194002801224382266403037642622884212661945213095315518409667272852292532039436685583165894787495656924772161909319506977515696088446834470065482560936256613129463280894829194984625123}
15580  3519703003500893280244995452238930673124367395575860511295966893: {171259,435932,450979,591242,622760,700605,747312,822931,840726,1058012,1150034,1286251,1655611,1747771,2078474,2115691,2573971,2756779,2861384,3030451,3034005,3219057,3236272,3594129,3640806,3847579,3924554,4278725,4292042,4299019,4479091,4658954,4748659,4838371,4897052,5134470,5143676,5285851,5336737,5375131,5476768,5838152,6161364,6204849,6352459,6374876,6529219,6567921,6705691,6743612,6793819,7029842,7226565,7233379,7386725,7583731,7623910,7708336,7884357,8296394,8454571,8460572,8671878,8864070,9148692,9194492,9252845,9376394,9455008,9464469,9575899,10049276,10174651,10272434,10430179,10636884,10891300,11103414,11118965,11267225,11520842,11782051,11875676,11949739,12117139,12200731,12240092,12367699,12502184,12617611,12700771,12949819,13069560,13171697,13218350,13239752,13292042,13342758,13363459,13520670,13775299,13820594,13857451,13936892,13939531,13940277,13940864,13976744,14020881,14064957,14192565,14422048,14698634,14703255,14837659,14894721,15000019,15059229,15138736,15404659,15559000,15683472,15723837,15747932,15807499,15862020,16109276,16184264,16224804,16443914,16470332,16691525,16919488,16951292,17031078,17163691,17503875,17643906,18030139,18207297,18264931,18359205,18670800,18750332,18816710,18863114,19034424,19109276,19218129,19348412,19506211,19583152,19659365,19811974,19915520,20029830,20196331,20573834,21004650,21031891,21084242,21107419,21256892,21314984,21365152,21408811,21413727,21593354,21851612,22008139,22031046,22157251,22270154,22281245,22404960,22405461,22438994,22456745,22528771,22580052,22878725,23192971,23275676,23505224,23559451,23591238,23630972,23756901,23851339,23898624,23952074,23979357,24035796,24234152,25079011,25205580,25649539,25862299,26003779,26356219,26443377,26580572,26737494,26870389,26885952,26948094,27194731,27263421,27436209,27454470,27471931,28091419,28282025,28302820,28433059,28637179,29284768,29581171,29725394,29914891,30093692,30180571,30246696,30326876,30970699,31101379,31490876,31518501,31556491,31597445,31814971,31830350,31967837,32061237,32264539,32305874,32456131,32625842,32945364,33027019,33153091,33455121,33527956,33529579,33741194,33809276,33938430,33963384,33965539,34027533,34143577,34336411,34397971,34643491,35029414,35322314,35390229,35479634,35539676,35674099,36151891,36200992,36344732,36859939,37033532,37035331,37044914,37151899,37322637,37442059,37522025,37822154,37845259,37916934,37974344,38131099,38196420,38208807,38386270,38510045,38528251,38584699,38636252,38978876,39212114,39311971,39643531,39827525,40081579,40136011,40432600,40437842,40493661,40515019,40726116,40742848,40783579,40913645,41186481,41502794,41553969,41786565,41943859,41995771,42131225,42162812,42270152,42472689,42613099,42721137,42776885,42900117,43069291,43461842,43519676,43717939,43767331,43910474,44208842,44499571,44572336,44595979,44740051,44787931,45026430,45214565,45262771,45403819,45472966,45486675,45730411,45835704,45888405,45915451,46021137,46063524,46134194,46212054,46327579,47001499,47115452,47160842,47310451,47485411,47553921,47786012,47793030,47874859,47897080,48003379,48028192,48083854,48216139,48325514,48519120,48566876,48617565,48674984,48760891,48901052,48947632,49031525,49096374,49252939,49333939,49337042,49457372,49615171,49813891,49929909,50010811,50042020,50143878,50234876,50557470,50562725,50567612,50780491,50789276,50816661,50979232,51080299,51196874,51265339,51332262,51338851,51342405,51564092,51565167,51738019,51753728,51858736,52163539,52268299,52714771,52748611,52939581,53016739,53172554,53181979,53219132,53345419,53583677,53624264,53698651,53730331,53879132,53883069,53884215,53918899,53927968,54010634,54031716,54166291,54257478,54378979,54528739,54566474,54584010,54647251,54675845,54759357,54765232,54866972,54909691,54967219,55014350,55052971,55066086,55166299,55334131,55414652,55418461,55421565,55444579,55526659,55769011,56057299,56108779,56134411,56286691,56300902,56439752,56485699,56775571,56963059,57106445,57123331,57351636,57379676,57446834,57476496,57496481,57582979,57646051,57781438,57790699,57831379,57854769,57871771,57901445,57971491,57988274,58165531,58222944,58241777,58334011,58341078,58370659,58392842,58425091,58461019,58511661,58532011,58619131,58636339,58837830,59009276,59073739,59116336,59148979,59193259,59222419,59246024,59334332,59537059,59625259,59732042,59756731,59768251,59890219,59911459,59921971,59998154,60013339,60032851,60050424,60091676,60126091,60178579,60275779,60327297,60327691,60348859,60396242,60415772,60427051,60450811,60489619,60496025,60500165,60556651,60573211,60592291,60599419,60622099,60660914,60662491,60668964,60670411,60675270,60676531,60680131,60683011,60793034,61320074,61610886,61966445,62106837,62322981,62740904,62760352,62998172,63494721,63533852,63598101,64147875,64390469,64661058,64704849,64720288,64901805,64961380,65210037,65242652,65500812,65611014,66017220,66505878,66518876,66651777,66915752,67556727,68055729,68092557,68318972,68424400,68527734,68691220,68703242,68874725,68949194,69228592,69317042,69481734,70418368,70529852,70533842,70583517,70605396,70763649,71488600,71496914,71577692,71641005,72595230,72600198,72687794,72810324,73134365,73351676,73827752,73967181,74194025,74359734,74638289,75280221,75487154,75633692,75671565,75712025,76174034,76364997,76417072,76548110,76629074,76742474,76946289,76977450,77434912,77580069,77756594,77882166,77953656,78108350,78648242,78923741,78980234,79169230,79220664,79334492,80009895,80351945,80424675,80429860,80558876,80564134,80682152,80716336,80746449,80762492,80826981,81018725,81052754,81067676,81364424,81372676,81942477,82109280,82137830,82426461,82429464,82516445,82644261,82649670,82716350,83056221,83902172,84012242,84103676,84540561,85038405,85041842,85246034,85258757,85343888,85483869,85753994,85786320,85892109,85969206,86358794,86372205,86611676,86858834,86860685,87066609,87114276,87583232,87586565,87603334,87697863,87749834,87761238,87808412,88155464,88159648,88211057,88405052,88532042,88707409,89032830,89123247,89511305,89891612,90018845,90089276,90181544,90220389,90258314,90707632,90729554,90767157,90767421,90805878,90850641,90854430,90917042,91505408,91534977,91602725,91857732,92130352,92357225,92372940,92549276,92733147,92843132,93031754,93391754,93730020,93999381,94015676,94210652,94235649,94281674,94308092,94460821,94968352,95003076,95249875,96011874,96027965,96076897,96126725,96422334,96443474,96509610,96515832,96637052,96897704,96911392,97222470,97366154,97532042,97566152,97783972,97904157,97910637,98083292,98327805,98386025,98400561,98531136,98563772,98565396,98999114,99019734,99174897,99179604,99259620,99656529,99793994,99951242,99978688,...,654055340044487144217741329901262716830336245274814918348599101308495964978197790535909278784065882241295459594900761486602638618550066913089102921725071279523873935237274552731953339472007875043556533453955033647388973645864151334303729321146508387531554439465450765622861759413141606438193836189582963586545326838870428807107612492520659821311187720233713643472348868999342684011104253984243094544674150663622328277816587364864969196938015362843725108367305791081285418308132915924102266465871730995087201023245819030165453025028841361443118977028030349200726397068399135354561042656161400711235510574800014705000197827728555398732845165390436211216723762960830488885773430725515993458535497674618656480803655388392376628606164736367861890229085498697707566255337814236341687893287139273312790572968469785963413692721091131245399847858663404781748575580180304367081858580123600115387515083205139124662504961064806996502017498799690790435859541745189898221895279658246192580979155441282127844771102576020630968740753987542128814782850918525195092820900690666309336462791189990669874683382776664647324447182906759371089997331452600919061120380893738315009673856556735257241542117290080500616893875650869222549951499588090774252212590368059920447315951971918076401293069456168761052699871515061702891421186410129424608126945878082825300684447730870355547441579345083774011313015724821749681923593742758650414875447293748455312877597643168264966060533469688976540330638988793124452125529595904446576337911134707333432629223074356852845392685142972837900679059423501358480176943297096875458437674013755711243543360333360507599614569795589436090316090139021569726741728855341086485301424716145954189024754503162811437730647318808881676239866994884660842908861992626006255017656091121870945860125367545995332647913828349647702471090759076002067516853168638896177462492630956261121350454247122463856096917955401336069127206259523025134455597710804370069377348027073684826111001527578763587249025046572555091328327832249742007749582886058952365641241744612380934661614858933577320793603030551508377410675629761867107177067933627061567147384347039625822320330457989361088979259957903348426768401752590191934806010380221871859108994828829208399611690880086978654964636300010287837978893201775414735359117592003734965843021870716856830512283549260284127087357879556363803056709385915580777554526383327542566362882545759342636687594784595779293420643414581675484172617707859772259979500164}
15581  3535321843261755949179030838550885538260316448453202729090288652: {15581,544915,653898,778450,886863,934140,996416,1120968,1261089,1322515,1587018,1725051,1882639,2503711,2831738,3117711,3250159,3436771,3576730,4045340,4292076,4792172,4854408,4957579,5108383,5461209,5816074,5886831,6076531,6121315,6429595,6438063,6744794,6845960,6988431,7297690,7344271,7345578,7701705,7715514,7968595,8215152,8273132,8275891,8429515,8757228,9242046,9562314,9635420,9766483,10066639,10115418,10512476,10544763,10575715,10939411,11070751,11220602,11435865,11493115,11562504,11584783,11818760,12198256,12229651,12444091,12444591,12561595,12619292,12690858,13007817,13246394,13296105,13614125,13723038,13791738,13975411,14005354,14064591,14161231,14182512,14303731,14804552,14844595,15073914,15300115,15408651,15627730,15955326,16336950,16509691,16549690,16655121,16767391,17135258,17281263,17421115,17426080,17470930,17524111,17651083,17790344,17813514,18027560,18360138,18442579,18537739,18587036,18650611,18694508,18700051,18753276,18923420,19448750,19604340,19684915,19827525,19859628,19938063,20014137,20078972,20136595,20230330,20281005,20308171,20567071,20587915,20713018,20730891,20905338,20911296,20965116,21149360,21189115,21204883,21506251,21573871,21633072,21742291,22047951,22247599,22708104,23338500,23437915,23525208,23621898,23793030,23886595,24163914,24185515,24206314,24276396,24337206,24478940,24665871,24705498,24894400,25379232,25426938,25461571,25505083,25546617,25624172,26164843,26465859,26508523,26571115,26618251,26643730,26706440,26949283,27072211,27314515,27321211,28006200,28125498,28225065,28294671,28551636,28663914,29022618,29094595,29374728,29381530,29405714,29538715,29669659,29681371,29717961,29855011,29873280,29873948,30044745,30106736,30292690,30304879,30860751,31454984,31506975,31626363,31675868,31864832,31885338,31972476,32047728,32390031,32645371,32777418,33046569,33225715,33227551,33313291,33405231,33435571,33607440,33658491,33870078,34367674,34493491,34913514,35257836,35378525,35386857,35446458,35448643,35582234,35648239,35649992,35847936,35928111,35929483,35930792,36053694,36351228,36395194,36581612,36605960,36986383,37617115,37808370,37908595,38024911,38181091,39000794,39363595,39445178,39565171,39796591,39870858,40106241,40305199,40328928,40422141,40637179,40647571,41181705,41909945,42024668,42058858,42261595,42295759,42454230,42504331,42590611,42656899,42676171,42748316,42829178,43289851,43634203,43927152,44283151,44361091,44424595,44588091,44606828,45140538,45251240,45255979,45264931,45284512,45370044,45376394,45430915,45490314,45606319,46291915,46292731,46481551,46821298,46921231,47186972,47220751,47236314,47258299,47333491,47467930,47480731,47588431,47627203,47637778,47745525,47919578,48295315,48458811,48705583,48723595,48815323,48938763,49237771,49384783,49418046,49763516,49916131,50004811,50078179,50291934,50540750,50555912,50593603,50611791,50713914,50907645,50928560,50945076,50979578,51224431,51543151,51726794,51840271,52100914,52201039,52317583,52544121,52703515,52837690,52983471,53046691,53093074,53219451,53309514,53500603,53991548,54301488,54399595,54517098,54898291,54902011,54915308,55405292,55550298,55567371,55613011,55644139,55715420,55753178,55843411,56380699,56468731,56583274,56630252,56733231,56875401,56961516,57200156,57293114,57294630,57579405,57710491,57954378,58468314,58551283,58818171,58894315,59075914,59087611,59116831,59732515,59871350,60035240,60274351,60575018,60648900,60656763,60708595,60726091,60843730,61089174,61114272,61126315,61184540,61361516,61416811,61418032,61616072,61821715,62129803,62254191,62552525,62793595,63209515,63244218,63321898,63405228,63486595,63724040,63932899,63982831,63998042,64014451,64455115,64599283,64614154,64692160,64724239,64823420,65192763,65279514,65340571,65459011,65461832,65865711,66260491,66313263,66523915,66573212,66858504,66864938,66876283,67030330,67348915,67409960,67440979,67539645,67755548,67861483,68209339,68209449,68443016,68456540,68583715,68753556,69095286,69201291,69268315,69318081,69600691,70155019,70298143,70549690,70586108,70596883,70626794,70673178,70741263,71137219,71193871,71473291,71679018,71689545,71724595,71773999,71844092,71845620,71979823,71986483,72042288,72097531,72125781,72343304,72488271,72778680,72825763,72850314,73012476,73067599,73351578,73421448,73462351,73644561,73761595,73895420,74005563,74057530,74167915,74186058,74458138,74675902,74682619,74706811,75063030,75114595,75215817,75352314,75519715,75604783,75836205,75851418,76064851,76183914,76449103,76468848,76635328,76795311,76939951,76998393,77136031,77139692,77141714,77346138,77582383,77630592,77788104,77827999,78015548,78082258,78426130,78450440,78747715,78908851,79369178,79417315,79514479,79637791,79758831,79801243,79809682,79828698,80043151,80067232,80255491,80272714,80436396,80599882,80614058,80737843,80799631,80818698,80891952,80900360,81015951,81047574,81201725,81386217,81553315,81849711,81876015,82147848,82300458,82466851,82516603,82521525,82580731,82599129,82809116,83097308,83121978,83148595,83644690,84208543,84326539,84451353,84659628,84785491,84797468,84812611,85002523,85084579,85370383,85398715,85530500,85716091,85813258,85864025,85964323,86027454,86069514,86170251,86214744,86273132,86535740,86672157,86927314,86946716,86982411,87235483,87334416,87481352,87511617,87589263,87770299,88022960,88162315,88256745,88287283,88367311,88513914,88674504,88869036,89001498,89360750,89472115,89598063,89765083,89997231,90048874,90075636,90137514,90536251,90539482,90594363,90623658,90727291,90740972,90790076,90911311,90940639,90991371,91003446,91012905,91189551,91370312,91678171,91689595,91772618,91980111,91984651,92284690,92416329,92642312,92922314,93620938,94023619,94111356,94140528,94351532,94497258,94504234,94542115,94593043,95014483,95283871,95300778,95521340,95839258,96236491,96387571,96730618,96745231,96793640,96800264,96962383,96991587,97080432,97442070,97536691,97863978,98251218,98416521,98622908,98735251,98960059,99020371,99025830,99121003,99132643,99146312,99168115,99758817,99778314,...,981083010066730716326611994851894075245504367912222377522898651962743947467296685803863918176098823361943189392351142229903957927825100369633654382587606919285810902855911829097930009208011812565334800180932550471083460468796227001455593981719762581297331659198176148434292639119712409657290754284374445379817990258305643210661418738780989731966781580350570465208523303499014026016656380976364641817011225995433492416724881047297453795407023044265587662550958686621928127462199373886153399698807596492630801534868728545248179537543262042164678465542045523801089595602598703031841563984242101066853265862200022057500296741592833098099267748085654316825085644441245733328660146088273990187803246511927984721205483082588564942909247104551792835343628248046561349383006721354512531839930708909969185859452704678945120539081636696868099771787995107172622863370270456550622787870185400173081272624807708686993757441597210494753026248199536185653789312617784847332842919487369288871468733161923191767156653864030946453111130981313193222174276377787792639231351035999464004694186784986004812025074164996970986670774360139056634995997178901378591680571340607472514510784835102885862313175935120750925340813476303833824927249382136161378318885552089880670973927957877114601939604184253141579049807272592554337131779615194136912190418817124237951026671596305533321162369017625661016969523587232624522885390614137975622313170940622682969316396464752397449090800204533464810495958483189686678188294393856669864506866702061000148943834611535279268089027714459256851018589135252037720265414945645313187656511020633566865315040500040761399421854693384154135474135208532354590112593283011629727952137074218931283537131754744217156595970978213322514359800492326991264363292988939009382526484136682806418790188051318992998971870742524471553706636138614003101275279752958344266193738946434391682025681370683695784145376933102004103690809389284537701683396566206555104066022040610527239166502291368145380873537569858832636992491748374613011624374329088428548461862616918571401992422288400365981190404545827262566116013444642800660765601900440592350721076520559438733480495686984041633468889936855022640152602628885287902209015570332807788663492243243812599417536320130467982446954450015431756968339802663122103038676388005602448764532806075285245768425323890426190631036819334545704585064078873371166331789574991313849544323818639013955031392176893668940130965121872513226258926561789658389969250246}
15582  3551009445241566243901752467503776442434309232075434059568354455: {202397,342518,357857,482081,637181,871864,901958,980847,1101281,1167675,1182484,1245520,1378877,1401210,1494624,1645862,1681452,1686557,2024081,2116024,2146577,2300068,2380527,2572502,2787581,2939681,3061217,3311222,3425057,3495542,3576317,3848081,4028897,4119197,4156948,4231382,4247607,4329617,4479677,4749281,4779197,5056675,5147942,5316317,5365095,5513558,5722768,5821217,5910077,5990215,6060902,6068010,6205757,6382781,6438114,6472544,6559517,6706577,6970781,7188258,7281612,7409681,7526417,7672157,7695158,7846781,7849108,8542397,8557450,8584084,8598038,8724111,8958182,8974817,9175997,9317908,9434081,9497318,9605777,9676742,9748637,9794104,9834257,10117191,10268940,10287352,10289681,10341415,10571702,10673474,10750262,10946535,10953536,10968977,11018367,11138081,11278781,11391197,11573271,11676304,11979281,12044275,12146657,12230237,12322728,12409698,12647057,12704918,12749752,12953983,12979217,13058438,13135842,13140595,13411382,13487224,13587638,13612637,13863069,13941437,14059684,14343471,14453130,14459681,14466758,14773450,14839697,14866781,15002081,15029117,15110177,15167462,15173127,15245117,15247820,15416672,15433697,15566551,15768714,15774115,15836477,15970337,16592788,16610081,16769297,16830903,16875281,16909142,16921144,17007581,17166077,17343756,17429597,17728140,18032657,18293537,18297384,18388984,18423677,18505690,18579581,18752788,18910016,18928938,19036287,19151798,19354781,19869591,19969757,20098552,20148257,20224637,20275517,20349302,20351777,20544868,20584557,20687607,20860358,21008031,21110417,21261281,21273768,21512081,21737117,21782600,21787037,22011281,22160417,22206828,22237930,22534450,22606097,22610871,23041684,23220797,23233795,23368135,23441595,23564102,23587217,23654275,23708957,23751352,23879057,23899478,23932989,24097181,24234278,24242237,24401462,24480184,24505425,24603617,24735398,24819581,24824535,25004368,25082657,25098715,25178081,25235222,25401542,25534781,25653281,25676957,25702887,25866077,25899638,26007581,26139120,26148797,26206395,26343394,26383517,26436700,26479504,26570717,26584084,26685516,26720271,26726918,27041340,27499037,27523111,27540207,27550598,27641188,27714902,27873784,27879062,27880554,27881728,27953488,27958397,28041762,28118417,28129914,28385130,28459997,28664081,28777181,28844096,29002781,29173125,29397268,29406510,29675318,29789442,29919377,30000038,30008081,30118458,30207197,30251357,30277472,30345495,30598675,30809318,30909917,30997181,31069527,31118000,31193743,31358007,31366944,31439443,31447674,31495864,31614998,31626017,31724040,31755281,31884257,32030215,32218552,32368528,32418557,32449608,32887828,32940664,33116177,33221117,33383050,33534737,33838976,33846557,33902584,34062156,34327382,34362257,34403297,34485281,34608017,34669277,34710077,35007750,35075837,35197181,35287812,35318237,35432847,35689545,35699681,35728759,35799581,35978897,36060278,36216977,36245871,36309471,36394781,36414594,36505809,36529862,36571937,36718410,37058247,37341600,37342435,37390097,37447997,37467281,37500664,37633420,37726228,37736417,37780171,38068848,38137181,38140407,38218552,38436258,38496737,38696824,38778557,39012422,39166304,39318730,39336797,39447581,39539681,39594835,39623948,39649937,39704957,39831040,39965595,40059660,40106237,40160657,40392662,40539581,40647197,40700897,40790237,40808081,40914977,41147668,41163281,41707517,41968097,42009300,42019997,42063782,42168484,42188247,42214838,42381281,42513784,42569117,42620177,42629968,42637181,42730304,42817622,42827454,42891281,42995871,43186708,43243997,43327457,43493777,43533927,43626257,43703224,43741757,44016278,44062092,44072295,44108571,44118497,44236423,44314502,44458781,44523197,44540308,44562490,44715677,44795537,44809920,44810922,44877988,44913490,45057542,45160104,45176081,45270497,45411581,45439035,45727015,45757450,46244477,46350737,46385942,46551352,46920737,47009681,47010448,47024477,47068817,47118902,47157281,47182476,47261944,47362577,47508257,47513802,47702678,47797248,47828007,47904148,47958714,48011837,48026081,48071592,48182237,48238781,48309281,48393617,48468304,48783377,49166127,49261757,49342781,49356257,49544081,49624097,49954397,50019857,50158022,50411160,50536337,50789777,50805117,50977757,51015137,51089681,51274781,51287057,51299078,51323837,51458081,51551511,51651617,51711677,51724598,51759581,52007558,52173281,52370271,52451297,52520081,52530835,52588577,52634081,52712438,52735997,52870877,52886754,53037857,53161144,53169687,53192081,53355581,53373351,53435395,53474988,53560097,53740637,53740778,53771904,53896188,53914063,54080541,54298781,54389462,54389537,54399581,54526842,54539357,54592791,54608657,54872418,54908940,54943862,55044797,55073297,55130081,55177181,55186577,55214717,55317281,55354337,55372817,55464737,55546781,55758535,55780157,56077181,56120081,56128637,56154257,56182838,56373281,56505377,56529917,56564050,56605640,56651537,56699681,56712555,56739581,56787197,56866118,56889377,56904977,56928317,56974781,57135137,57269777,57274358,57279103,57321437,57423581,57644177,57809681,57910781,57983777,58010081,58049297,58203281,58364897,58389281,58473617,58479581,58501191,58569536,58602977,58654781,58688957,58705937,58822781,58898717,58962557,58983715,59009681,59162342,59167037,59167767,59206397,59211281,59235581,59326097,59404637,59418257,59450788,59485277,59550497,59580317,59638781,59642897,59675537,59723537,59774237,59797181,59806287,59829782,59838497,59849597,59875217,59887639,60007457,60046817,60075581,60103697,60134177,60140177,60178397,60187384,60250781,60290081,60300257,60342077,60361142,60365597,60372497,60383837,60410237,60467357,60493392,60504317,60506081,60555281,60589457,60603581,60608477,60627857,60631037,60652157,60653752,60658877,60679517,60687581,60691217,60691937,60697181,60698237,60698657,60699677,61941398,62202758,62204395,62981752,63037002,63088287,63112982,63194890,63300391,63629942,63660700,63681345,63935674,64122474,64243767,64529078,64611748,64912262,65251684,65890728,66054038,66306182,66910242,67055912,67059158,67482388,67489435,67618552,67710807,67876860,67926768,67931078,68055066,68064591,68235471,68287154,68644135,68672822,68795942,68831191,69256615,69286982,69644275,70058828,70231947,70644628,70780458,70787815,70854471,70959268,71079352,71201895,71348198,71456667,71500195,71879367,72303782,72401984,72689464,73719878,74067064,74070662,74089828,74127069,74303798,74645274,74884118,75044050,75437901,75644308,75690518,75811125,75833868,75948688,76070871,76097827,76262198,76392840,76417614,76469367,76480675,76546183,76701895,76772540,77020090,77056502,77169398,77272504,77590191,77957752,78151371,78424228,78623942,79256535,79287062,79639611,79655050,79949023,79964271,80163158,80272022,80865200,80875684,80987322,81029275,81030038,81062023,81452232,81485696,81567158,81775647,81827290,82372962,83005588,83107938,83216515,83325447,83573130,83629767,83887718,83991542,84262450,84325624,84540304,84694435,84700231,84874911,84945378,85226198,85442274,85553770,85570675,85800234,85939671,85941945,86138582,86753023,86923684,86931567,87039352,87435878,87534662,87702471,87820948,88208887,88232635,88417684,88613871,88999142,89144672,89191958,89480102,89575862,89805115,89807025,90052860,90429130,90525542,90807638,90862527,90945932,90973350,91265595,91460822,91633761,91671408,91776810,91830902,92042274,92127048,92268388,92369275,92424108,92655158,94002998,94230904,94321684,94620902,94866327,94970822,94982847,95107842,95289199,95572024,95586060,95749718,95794160,95997063,96006758,96056384,96167708,96424615,96432278,96651028,96921231,97038240,97133752,97235130,97349968,97519435,97521782,97802104,97895264,97919271,98063050,98192748,98505878,98667878,98674084,98914744,99230342,99627782,99859818,...,1471624515100096074489917992277841112868256551868333566284347977944115921200945028705795877264148235042914784088526713344855936891737650554450481573881410378928716354283867743646895013812017718848002200271398825706625190703194340502183390972579643871945997488797264222651438958679568614485936131426561668069726985387458464815992128108171484597950172370525855697812784955248521039024984571464546962725516838993150238625087321570946180693110534566398381493826438029932892191193299060829230099548211394738946202302303092817872269306314893063247017698313068285701634393403898054547762345976363151600279898793300033086250445112389249647148901622128481475237628466661868599992990219132410985281704869767891977081808224623882847414363870656827689253015442372069842024074510082031768797759896063364953778789179057018417680808622455045302149657681992660758934295055405684825934181805278100259621908937211563030490636162395815742129539372299304278480683968926677270999264379231053933307203099742884787650734980796046419679666696471969789833261414566681688958847026553999196007041280177479007218037611247495456480006161540208584952493995768352067887520857010911208771766177252654328793469763902681126388011220214455750737390874073204242067478328328134821006460891936815671902909406276379712368574710908888831505697669422791205368285628225686356926540007394458299981743553526438491525454285380848936784328085921206963433469756410934024453974594697128596173636200306800197215743937724784530017282441590785004796760300053091500223415751917302918902133541571688885276527883702878056580398122418467969781484766530950350297972560750061142099132782040076231203211202812798531885168889924517444591928205611328396925305697632116325734893956467319983771539700738490486896544939483408514073789726205024209628185282076978489498457806113786707330559954207921004651912919629437516399290608419651587523038522056025543676218065399653006155536214083926806552525094849309832656099033060915790858749753437052218071310306354788248955488737622561919517436561493632642822692793925377857102988633432600548971785606818740893849174020166964200991148402850660888526081614780839158100220743530476062450203334905282533960228903943327931853313523355499211682995238364865718899126304480195701973670431675023147635452509703994683154558014582008403673146799209112927868652637985835639285946555229001818556877596118310056749497684362486970774316485727958520932547088265340503410196447682808769839388389842684487584953875369}
15583  3566766109775077914495281018439886914429598438927415742375308361: {15583,31162,513777,762881,1089830,1307796,1352937,1478105,1556900,1773726,1851521,1868280,1992832,2101815,2224937,2241936,2468793,2522178,2645030,2875085,3174036,3450102,3765278,3841097,3858753,4966833,5007422,5196185,5243313,5299481,5663476,5858957,6235422,6347073,6500318,6791417,6873542,7153460,7721913,8090680,8270337,8569841,8584152,8679593,9001433,9091353,9102015,9584344,9657171,9708816,9811385,9915158,10216766,10407881,10730105,10782387,10915481,10922418,11156033,11542737,11632148,11647385,11773662,11801321,11896937,12153062,12242630,12836175,12859190,12876126,12897057,13437273,13463417,13489588,13691920,13976862,14245977,14515113,14595380,14688542,14691156,14706653,14806001,15403410,15431028,15619577,15857553,15937190,16010211,16090361,16125393,16430304,16546264,16551782,16859030,17514456,17574605,17586233,18484092,18614547,19057377,19059775,19124628,19226813,19270840,19342217,19511453,19532966,19587657,19703763,19714481,19727681,20117073,20133278,20230836,20381457,20710313,20740985,20782433,20900057,21024952,21089526,21151430,21420161,21679695,21700137,21878822,21908237,22141502,22160175,22441204,22751193,22871730,22986230,23125008,23169566,23440985,23637520,23653071,23874713,24389561,24396512,24459302,24888182,24889182,25123190,25238584,25363713,25381716,25496393,25681085,26015634,26292617,26492788,26592210,27228250,27407117,27446076,27558881,27583476,27758535,27950822,28010708,28129182,28191233,28322462,28336697,28365024,28393407,28505681,28607462,28653953,28727697,28802105,28823081,29609104,29664761,29689190,30147828,30257177,30381773,30523953,30600230,30643481,30817302,31255460,31290537,31311353,31457933,31910652,32673900,32813081,33019382,33045875,33099380,33173297,33230105,33310242,33332801,33356895,33441233,33534782,33651497,33801675,33859721,34270516,34551485,34562526,34842230,34852160,34941860,35048222,35302166,35346153,35580688,35627028,35652881,35814857,35849217,36055120,36351417,36454001,36602193,36720276,36746585,36885158,37075478,37103097,37174072,37199561,37301222,37389016,37400102,37506552,37651097,37846840,37852833,37893377,38102313,38240321,38580893,38735657,38849457,38897500,39208680,39369830,39370253,39515091,39655050,39719256,39876126,40028274,40090377,40156481,40157944,40273190,40460660,40562010,40616342,40642481,40732433,41109785,41134142,41175830,41325897,41354201,41426036,41461782,41572353,41792573,41810676,41818593,41820831,41822592,41930232,42062643,42129737,42194871,42298720,42378230,42409766,42577695,43012502,43147742,43266144,43484582,44095902,44109765,44219897,44495198,44512977,44577713,44684163,45000057,45177687,45210041,45416208,46152137,46213977,46516001,46677000,46875830,47041775,47050416,47157785,47171511,47243796,47422497,47586060,47594657,47633417,47696897,47773190,48025757,48327828,48371030,48377081,48412628,48550913,48552792,48674412,48957880,49331742,49410996,49529935,49788800,49985897,50074575,50438813,50590217,50758464,50853876,50923142,51010166,51093234,51160733,51248344,51434585,51491073,52181897,52329686,52334633,52511625,52521017,52536737,52663961,52710605,52902137,52931718,53017046,53072033,53142230,53236502,53287460,53412880,53898377,53898566,53983385,54082817,54090417,54144422,54621891,54629030,54642422,54794793,55077615,55109033,55492481,55675385,55788617,55850717,56012400,56097485,56240873,56250996,56450130,56589342,56817641,57103272,57327828,57530381,57654387,58045236,58189190,58190093,58518633,58673923,58749456,58763060,58811428,58853273,58978095,59077430,59130977,59166233,59339318,59362742,59435922,59710022,59746560,59747896,59880185,60089490,60213472,60585380,60588993,60609758,60914633,61123001,61692137,61721502,62194433,62361497,62909968,63013950,63095673,63252726,63322257,63339617,63351736,63603281,63729664,63770676,63944952,64095456,64226433,64241181,64412753,64693337,64780062,64808681,65198897,65290742,65554836,66024417,66093138,66414617,66451430,66455102,66471753,66547457,66626582,66735773,66810462,66843735,66871142,66918281,67051577,67214880,67216383,67316982,67370235,67586313,67613441,67740156,67870337,68213033,68636175,68735348,68986982,69578913,69827028,69830813,70307297,70386401,70515672,70678353,70757050,70773714,70892916,70897286,71164468,71270703,71296478,71299984,71554017,71695872,71856222,71858966,71861584,71938071,71995901,72092081,72107057,72107388,72702456,72753257,72790388,73027697,73163224,73211920,73784921,73972766,74313485,74419817,74488697,74744081,74959793,75234230,75237033,75531713,75616073,75616740,75817190,76049822,76159433,76362182,76948617,77586897,78001588,78011337,78167657,78307853,78727190,78890356,79032521,79068657,79130342,79330131,79575875,79593182,79636721,79741716,80020337,80212482,80455481,80610398,80611037,80611167,80657856,80692877,80748377,80764685,80844282,81274358,81295142,81564605,81584193,81790263,82308627,82363410,82415793,82452041,82735697,82910477,83625521,83819890,84049336,84117716,84170393,84215993,84274257,84352985,84523190,84591518,84823817,84846075,84908460,84913217,84992033,85008662,85013657,85181222,85206173,85299177,85304777,85313798,85352342,85496632,85576841,85658356,85911537,85975517,86352617,86550401,86579702,87268406,87573535,87854304,87911033,88261277,88288721,88305785,88493321,88566302,88699085,88722182,88743513,88849190,88881233,89176182,89213656,89449481,89744673,90237161,90281076,90282461,90502480,90511958,90529862,90541713,90569024,90740088,90752788,90861830,90929033,90952481,90980628,91212638,91892897,91991201,92051777,92583830,92585462,92612285,92774873,92912097,92963102,93133481,93304137,93472193,93642596,93842462,93971657,94288481,94373944,94441502,94472628,94516598,94555385,94555503,94666982,94669473,94792335,94826561,94935860,94961462,95176862,95254406,95275556,95285681,95296337,95444913,95490473,95491050,95800337,95839156,95903511,95965675,96017201,96183711,96338813,96590630,96793617,96917622,96975641,97368393,97411166,97447190,97498481,97630646,97849841,97877526,98030285,98402573,98475542,98610137,98769566,98836092,99081057,99145577,99437993,99459273,99527032,99658637,99832262,...,1962166020133461432653223989703788150491008735824444755045797303925487894934593371607727836352197646723886378784702284459807915855650200739267308765175213838571621805711823658195860018416023625130669600361865100942166920937592454002911187963439525162594663318396352296868585278239424819314581508568748890759635980516611286421322837477561979463933563160701140930417046606998028052033312761952729283634022451990866984833449762094594907590814046088531175325101917373243856254924398747772306799397615192985261603069737457090496359075086524084329356931084091047602179191205197406063683127968484202133706531724400044115000593483185666196198535496171308633650171288882491466657320292176547980375606493023855969442410966165177129885818494209103585670687256496093122698766013442709025063679861417819938371718905409357890241078163273393736199543575990214345245726740540913101245575740370800346162545249615417373987514883194420989506052496399072371307578625235569694665685838974738577742937466323846383534313307728061892906222261962626386444348552755575585278462702071998928009388373569972009624050148329993941973341548720278113269991994357802757183361142681214945029021569670205771724626351870241501850681626952607667649854498764272322756637771104179761341947855915754229203879208368506283158099614545185108674263559230388273824380837634248475902053343192611066642324738035251322033939047174465249045770781228275951244626341881245365938632792929504794898181600409066929620991916966379373356376588787713339729013733404122000297887669223070558536178055428918513702037178270504075440530829891290626375313022041267133730630081000081522798843709386768308270948270417064709180225186566023259455904274148437862567074263509488434313191941956426645028719600984653982528726585977878018765052968273365612837580376102637985997943741485048943107413272277228006202550559505916688532387477892868783364051362741367391568290753866204008207381618778569075403366793132413110208132044081221054478333004582736290761747075139717665273984983496749226023248748658176857096923725233837142803984844576800731962380809091654525132232026889285601321531203800881184701442153041118877466960991373968083266937779873710045280305205257770575804418031140665615577326984486487625198835072640260935964893908900030863513936679605326244206077352776011204897529065612150570491536850647780852381262073638669091409170128157746742332663579149982627699088647637278027910062784353787337880261930243745026452517853123579316779938500492}
15584  3582592138498449199872682700111223750893623752725624029766128090: {46743,404794,668263,685036,715714,964162,1132303,1274362,1634745,1743728,1803916,1946125,1961694,2202562,2335350,2364968,2422039,2491040,2660589,2757754,2802420,2970463,2989248,3243703,3291724,3362904,3373114,3425503,3783267,3967545,4048162,4149823,4232048,4240039,4293154,4600136,4690039,4761054,4779823,5145004,5175153,5575162,5584639,5647917,5879362,6029239,6122434,6622444,6850114,6991084,7001023,7079345,7152634,7511133,7696162,7876903,8057794,8238394,8313896,8386301,8462764,8495214,8572423,8659234,8941825,8959354,9004783,9353133,9498562,9558394,9750477,9864103,10113350,10295884,10310313,10632634,10730190,10885783,11027116,11224039,11445536,11642434,11645239,11820154,11980430,12121804,12136020,12411514,12565543,12765562,12876228,12945088,13119034,13413154,13941562,14376516,14461663,14477981,14540185,14563224,14819362,14868823,14872737,15031183,15052834,15274183,15325149,15344314,15390316,15693562,15698216,16239703,16383627,16638943,16861985,17084794,17114900,17168168,17196076,17448222,17660493,17747239,17916364,17949634,18229593,18244225,18351994,18363945,18396833,18452263,18608143,18635816,18868162,18994636,19211554,19288785,19314189,19353484,19497274,19588208,19668514,20234382,20537880,20574704,20579362,20682830,20698381,20965293,21143404,21346948,21500524,21893070,21907072,21937954,22032813,22036734,22083761,22276162,22557562,22634023,22782394,23105115,23146542,23150623,23352608,23905785,23958562,24088550,24245743,24293314,24460474,24535039,24645456,24819396,24827673,25288545,25294114,25409836,25499504,25538503,25680703,25907966,25958434,26116876,26271684,26281190,26597983,26822764,26974448,27017239,27086863,27175276,27225274,27364639,27726138,27882874,28051505,28119368,28686942,28804063,28906260,28919362,28933516,29299449,29478343,29546900,29679394,29733562,30004162,30058234,30199917,30220354,30334924,30346254,30410239,30476263,30490234,30495640,30833344,30867394,31133102,31537428,31548230,31634289,31672954,31727145,31940674,32039239,32527313,32715389,32818233,32931823,33115985,33185576,33212253,33220162,33247183,33538594,33661806,33750562,33818284,33842288,33934639,34015162,34307595,34332154,34479345,34552039,34687512,34754349,34859194,35013385,35101543,35138201,35456280,35825143,36065314,36587074,36594768,36656239,36688953,36777968,36847354,37011380,37159162,37332273,37333773,37473223,37505576,37684785,37761583,37820032,37857876,38072574,38105239,38303596,38389639,38709562,39023451,39069325,39287623,39739182,39888315,39939514,40197104,40296514,40449274,40551034,40600039,40698604,40703554,40814743,40842375,40921663,41089736,41169114,41187703,41374225,41375214,41720716,41926233,42016062,42193773,42220834,42224897,42388303,42483693,42522562,42547536,42644263,42695239,42838145,42911193,43024162,43251223,43401343,43474234,43501063,43565200,43574074,43677325,43946239,44022562,44320834,44413656,44475860,44533785,44649293,44842301,45068900,45199543,45212194,45221742,45622039,45900345,46083368,46084639,46225953,46441594,46467590,46736270,46765039,46883190,47032663,47128204,47174434,47308550,47417914,47502704,47758114,47798956,47819983,47865978,48034543,48194362,48331903,48468556,48484474,48500239,48621875,48709039,48802924,48960368,49010850,49207234,49365103,49470796,49529073,49639162,49649070,49963423,49965363,50008736,50165314,50197430,50302173,50356162,50468863,50470444,50507239,50575825,50803084,51069562,51296503,51306562,51353914,51405774,51732154,51782545,51799276,51840823,51843789,51947743,52015162,52124503,52263345,52278240,52279409,52297594,52412790,52541383,52572333,52678039,52686788,52767034,52847239,52873400,52953249,52959008,53141434,53168168,53371032,53440542,53453836,53506039,54082680,54136039,54410143,54998074,55027039,55046222,55080414,55101196,55197463,55282376,55327737,55429804,55432769,55613217,55747568,55758124,55761108,55763456,55906976,55916794,55951833,56083524,56100153,56139943,56236834,56259828,56267383,56342983,56770260,56919994,56947783,57222103,57328162,57333343,57554362,57635239,57688192,57760303,57923023,58005562,58022383,58061623,58328239,58346250,58492183,58615663,58769239,58794536,58813020,58852039,58916983,58996543,59054745,59224423,59239039,59350636,59436103,59482575,59503063,59578884,59656423,59693143,59776303,59814189,59838754,59867023,59932039,60000076,60016162,60024703,60042411,60175039,60236916,60373039,60409785,60414394,60470239,60493423,60502714,60515785,60520783,60554944,60556063,60574639,60667303,60674863,60686023,60690990,60709639,60843015,60924513,61197350,61618636,61701213,61763745,61819834,61994362,62139054,62192673,62236000,62387486,62716014,62733888,62878886,62895348,62991728,63229996,63252034,63448080,63510562,63567345,63614649,63768514,64017821,64060430,64437104,64518753,64721613,64737056,64837114,64899216,65226873,65775656,65881328,66143853,66232354,66442234,66609325,66742797,66766100,67069474,67677952,67693114,67805168,68124312,68654764,68724514,68806594,68970562,69216034,69338554,69420154,70015500,70151674,70313745,70394362,70575624,70636474,70865694,71379090,71399362,71457518,71599162,71659785,71957794,72120556,72433954,72491742,72556545,72618942,72789562,72829188,73011618,73059724,73143874,73436820,73453825,73514285,73543169,73997613,74116494,74683200,74684870,74780194,74809553,74895994,74934562,75001328,75266840,75452456,75472834,75560342,75731725,76137696,76274362,76280814,76384713,76437104,76515249,76639851,76872516,76993474,77393648,77557114,78024844,78061949,78332608,78494529,78637460,78673594,78895162,79079362,79189670,79247896,79299874,79397577,79409914,79525569,79662080,79713345,79854753,79931190,80119320,80212474,80321314,80785324,80847849,81079162,81216633,81294394,81345953,81401794,81580474,81616162,81829954,81943545,81963633,82295336,82326562,82577201,83415034,83936194,84018600,84039994,84127564,84202921,84336968,84376494,84429676,84675195,84762562,84884013,85027568,85138234,85240354,85259936,85274362,85460608,85635244,85654908,85782562,85919185,85991742,86373416,86487994,86654914,86987554,87067854,87086153,87252514,87283785,87406448,87483514,88032556,88124184,88144590,88217142,88236994,88472846,88616145,88629004,88917562,88955585,89008977,89044113,89046394,89080616,89124980,89153883,89431354,89565033,89591074,89619840,89621844,89755976,89826980,90115084,90134235,90320208,90351613,90352162,90540994,90823162,90878070,90914637,90987985,91454030,91514900,92488954,92582253,92701474,92771884,93102704,93841474,94019362,94020896,94048954,94137634,94237804,94314562,94364952,94485209,94520925,94523888,94725154,94879089,95016514,95027604,95405356,95594496,95656014,95808296,95917428,96023674,96052162,96101789,96143184,96364474,96477562,96618562,96787234,96936608,96959261,97170093,97501985,97566754,97936113,98332254,98523514,98612945,98685562,98712514,99088162,99102941,99139707,99248194,99677145,99682653,99908794,99939873,...,2943249030200192148979835984555682225736513103736667132568695955888231842401890057411591754528296470085829568177053426689711873783475301108900963147762820757857432708567735487293790027624035437696004400542797651413250381406388681004366781945159287743891994977594528445302877917359137228971872262853123336139453970774916929631984256216342969195900344741051711395625569910497042078049969142929093925451033677986300477250174643141892361386221069132796762987652876059865784382386598121658460199096422789477892404604606185635744538612629786126494035396626136571403268786807796109095524691952726303200559797586600066172500890224778499294297803244256962950475256933323737199985980438264821970563409739535783954163616449247765694828727741313655378506030884744139684048149020164063537595519792126729907557578358114036835361617244910090604299315363985321517868590110811369651868363610556200519243817874423126060981272324791631484259078744598608556961367937853354541998528758462107866614406199485769575301469961592092839359333392943939579666522829133363377917694053107998392014082560354958014436075222494990912960012323080417169904987991536704135775041714021822417543532354505308657586939527805362252776022440428911501474781748146408484134956656656269642012921783873631343805818812552759424737149421817777663011395338845582410736571256451372713853080014788916599963487107052876983050908570761697873568656171842413926866939512821868048907949189394257192347272400613600394431487875449569060034564883181570009593520600106183000446831503834605837804267083143377770553055767405756113160796244836935939562969533061900700595945121500122284198265564080152462406422405625597063770337779849034889183856411222656793850611395264232651469787912934639967543079401476980973793089878966817028147579452410048419256370564153956978996915612227573414661119908415842009303825839258875032798581216839303175046077044112051087352436130799306012311072428167853613105050189698619665312198066121831581717499506874104436142620612709576497910977475245123839034873122987265285645385587850755714205977266865201097943571213637481787698348040333928401982296805701321777052163229561678316200441487060952124900406669810565067920457807886655863706627046710998423365990476729731437798252608960391403947340863350046295270905019407989366309116029164016807346293598418225855737305275971671278571893110458003637113755192236620113498995368724973941548632971455917041865094176530681006820392895365617539678776779685368975169907750738}
15585  3598487834354837396355922025601680761548177494944130991665633838: {31166,62324,607191,856295,1027554,1073571,1446243,1525762,1911543,2069347,2179660,2254895,2615592,2629471,2705874,2942541,2956210,3113800,3303843,3503025,3547452,3703042,3736560,3934403,3985664,4025119,4114655,4136631,4203630,4449874,4483872,4494239,4937586,5044356,5059671,5290060,5750170,6072243,6263023,6348072,6431255,6439731,6900204,7141581,7274659,7530556,7682194,7717506,8027459,8278055,8362743,8738855,8819043,9183651,9933666,10014844,10275171,10392370,10486626,10578455,10598962,10728951,10822319,11326952,11544243,11717914,12086691,12300223,12357591,12470844,12694146,12742821,12869855,12988851,13000636,13058207,13439031,13582834,13735939,13747084,13783895,14247843,14306920,14337591,15022147,15152255,15170025,15443826,15911311,15948951,16095285,16181360,16306339,16540674,17139682,17168304,17190503,17359186,17463651,17730231,17970645,18002866,18182706,18204030,18204659,18617271,18704879,19148343,19168688,19218023,19237895,19314342,19417632,19622770,19678551,19830316,20119731,20433532,20676163,20815762,20912343,21234559,21393625,21460210,21488791,21495095,21564774,21830962,21844836,22229043,22253363,22312066,22395455,22579251,23016471,23085474,23264296,23294770,23540343,23547324,23602642,23743295,23793874,24191855,24306124,24485260,24604447,25627191,25672350,25718380,25752252,25794114,26172333,26429255,26515367,26556839,26683685,26874546,26875655,26924451,26926834,26979176,27383840,27527991,27953724,28123559,28302243,28491954,28817331,29030226,29037379,29190760,29245911,29297263,29308103,29377084,29382312,29413306,29502771,29612002,29862719,30351573,30806820,30862056,30869043,31024245,31239154,31673231,31715106,31762295,31874380,32020422,32180722,32250786,32319683,32646095,32817379,32839605,32860608,32906931,33055101,33092528,33103564,33321959,33414243,33528455,33718060,33836343,33969095,34173591,34719813,35028912,35149210,35172466,35915903,35937843,35953519,36132825,36166895,36215023,36439971,36690711,36933625,36968184,37229094,37243511,37254307,37918655,37941171,38114754,38119550,38249256,38453626,38541680,38684434,38861949,38937651,39022906,39065932,39175314,39407526,39421785,39428962,39455362,39769951,39920327,40234146,40266556,40322947,40461672,40742707,40762914,40837911,41420626,41481970,41564866,41589207,41800114,41824311,42049904,42135223,42179052,42272855,42302860,42840322,43030413,43359390,43379043,43400274,43723439,43757644,43816474,44283004,44320350,44496751,44519091,44600343,44882408,45006243,45041903,45087351,45330531,45502386,45519381,45735351,45743460,45972460,46250016,46264225,46301091,46339132,46522147,46699653,46881970,47275040,47306142,47322345,47509431,47749426,47879495,47911011,48032023,48372079,48384071,48779122,48793024,48918604,49335043,49776364,49778364,49830243,49929119,50246380,50307891,50477168,50492709,50606711,50625843,50727426,50763432,50873255,50992786,51022743,51362170,51445219,51498231,51613379,52031268,52150895,52214723,52288791,52585234,52613783,52820351,52985576,53184420,53840627,54097971,54456500,54814234,54880611,54892152,55117762,55166952,55271031,55453639,55517070,55594825,55738743,55901644,56021416,56248231,56258364,56336125,56372791,56382466,56644924,56673394,56730048,56786814,57011362,57108861,57214924,57307906,57455394,57553699,57604210,57646162,58064343,58121459,58179743,58910255,59218208,59329522,59378380,59608773,59748695,59909271,60295656,60444771,60514354,60585695,60673911,60736099,60763546,60826551,61003655,61047906,61055331,61200460,61286962,61634604,61753671,61838495,62062821,62088871,62265487,62281727,62510920,62581074,62622706,62915866,63024093,63088055,63331251,63331811,63503855,63783843,63821304,63949463,64536243,64749095,65211351,65347800,65361111,65582023,65626162,65858485,66020899,66033843,66038764,66091750,66198760,66346594,66460210,66481251,66620484,66665602,66713790,66817295,66882466,66928103,67069564,67302994,67603350,67719442,67818291,67832613,68379331,68541032,68803303,68876495,69102970,69125052,69287255,69341909,69359539,69662391,69684460,69697655,69701385,69704320,69883720,69962327,70096444,70104405,70324785,70604332,70692306,70761651,70962825,71126871,71161376,71254056,71305762,71629714,71637171,71698434,71798967,72008419,72110240,72291543,72702834,72726711,72844631,72908002,73025999,73204386,73440552,73493170,73516275,73699951,73733363,73770316,73794847,73810851,74150956,74188295,74206194,74348144,74399122,74458743,74473605,74602444,74778032,74800204,74855911,75000095,75013104,75247971,75296145,75302194,75534243,75576739,75624371,75693680,75705666,75786754,76204626,76480642,76604343,76959843,77023295,77030871,77108661,77161786,77176511,77471314,77598231,77604659,77698914,77770723,77795000,77848163,77945539,78022743,78417360,78446391,78536479,78619185,78739660,78740506,79030182,79037495,79150551,79310100,79438512,79712151,79752252,79822007,80056548,80160813,80180754,80312962,80315888,80466007,80546380,80921320,81124020,81232684,81284962,81463283,81464866,81718627,82148111,82219570,82268284,82274431,82351660,82497111,82569333,82620621,82651794,82708402,82783223,82852072,82923564,83144706,83457625,83585146,83621352,83637186,83641662,83645184,83832259,83860464,83875191,84125286,84259474,84355251,84389742,84597440,84756460,84819532,85155390,85217431,85379991,85818455,85992243,86025004,86257903,86268743,86295484,86331543,86532288,86969164,87008343,87519375,87745967,88191804,88219530,88439794,88990396,89005747,89025954,89155426,89368326,89406319,89758131,90000114,90024243,90150695,90355374,90420082,90621591,90754071,90832416,91036485,91281559,91324655,91796025,91904863,92009159,92304274,92427954,92543651,92729751,92991543,93032002,93208581,93354000,93581229,93751660,94074021,94083550,94100832,94315570,94318329,94343022,94487592,94844994,94878051,95172120,95189314,95265843,95266834,95393794,95546380,95652771,96051514,96090645,96279907,96655656,96742060,96754162,96825256,97101826,97105584,97255671,97348824,97531055,97778551,97915760,98296825,98663484,98821992,99059870,99167039,99348531,99577600,99663351,99933763,99971794,...,4414873545300288223469753976833523338604769655605000698853043933832347763602835086117387631792444705128744352265580140034567810675212951663351444721644231136786149062851603230940685041436053156544006600814196477119875572109583021506550172917738931615837992466391792667954316876038705843457808394279685004209180956162375394447976384324514453793850517111577567093438354865745563117074953714393640888176550516979450715875261964712838542079331603699195144481479314089798676573579897182487690298644634184216838606906909278453616807918944679189741053094939204857104903180211694163643287037929089454800839696379900099258751335337167748941446704866385444425712885399985605799978970657397232955845114609303675931245424673871648542243091611970483067759046327116209526072223530246095306393279688190094861336367537171055253042425867365135906448973045977982276802885166217054477802545415834300778865726811634689091471908487187447226388618116897912835442051906780031812997793137693161799921609299228654362952204942388139259039000089415909369499784243700045066876541079661997588021123840532437021654112833742486369440018484620625754857481987305056203662562571032733626315298531757962986380409291708043379164033660643367252212172622219612726202434984984404463019382675810447015708728218829139137105724132726666494517093008268373616104856884677059070779620022183374899945230660579315474576362856142546810352984257763620890300409269232802073361923784091385788520908600920400591647231813174353590051847324772355014390280900159274500670247255751908756706400624715066655829583651108634169741194367255403909344454299592851050893917682250183426297398346120228693609633608438395595655506669773552333775784616833985190775917092896348977204681869401959951314619102215471460689634818450225542221369178615072628884555846230935468495373418341360121991679862623763013955738758888312549197871825258954762569115566168076631028654196198959018466608642251780419657575284547929497968297099182747372576249260311156654213930919064364746866466212867685758552309684480897928468078381776133571308965900297801646915356820456222681547522060500892602973445208551982665578244844342517474300662230591428187350610004715847601880686711829983795559940570066497635048985715094597156697378913440587105921011295025069442906357529111984049463674043746025211019440397627338783605957913957506917857839665687005455670632788354930170248493053087460912322949457183875562797641264796021510230589343048426309518165169528053462754861626107}
15586  3614453501600017285969484643830313652219281007454102217711537687: {46749,77905,93486,264673,809588,916093,1336526,1370072,1379233,1431428,1541331,1748449,1928324,2264606,2288643,2548724,2666449,2724575,3269490,3486493,3487456,3607832,3892250,3923388,3939553,4058811,4405124,4434315,4670700,4729936,4840273,4844078,4982080,5321178,5377249,5466493,5515508,5554563,5604840,5940926,5978496,6305445,6487406,6583448,6612575,6674811,6725808,6746228,6796513,6851006,7236253,7406379,7566534,7586749,7674193,7935090,8096324,8299646,8464096,8480078,8544673,8586308,8625255,9200272,9235873,9380078,9413195,9522108,9559646,9665533,9911083,10290008,10350306,10689373,11028349,11150324,11169278,11295834,11450449,11523291,11576259,11758724,12058478,12205693,12244868,12372733,12518555,12705949,13038013,13244888,13616353,13700228,13863133,13945249,13982168,14002046,14158690,14305268,14900499,15022266,15249313,15392324,15588555,15729939,15753806,15894433,15898443,16115588,16250795,16476788,16627792,16772602,16773949,16925528,16990428,17144846,17183855,17318468,17487073,17576871,17883650,17918708,18009566,18037693,18350749,18706266,18997124,19041219,19116788,19500954,19728206,19975393,20204893,20226700,20281249,20356259,20374251,20591768,20620626,21116413,21265268,21460380,21771566,21793249,22054232,22448078,22612573,22891072,23165739,23284868,23290478,23606779,23640308,23715793,23960860,24243608,24272040,24461723,24658813,24787895,24811011,24823028,25089949,25131086,25531124,25541915,25709523,25731793,25752456,25873633,25890176,26038779,26085853,26238068,26826308,26858449,27004299,27274059,27306045,27883124,27897949,28172413,28309213,28649953,28753032,28923326,28955962,28971513,29080370,29126448,29434155,29638724,29737646,29745474,30062366,30105668,30260449,30382655,30548366,30606575,30650298,30688628,30780632,31180753,31223643,31387124,31396432,31635613,31893949,32147975,32190315,32279293,32347161,32470993,32479406,32746443,32767254,33168349,33231313,33277886,33468099,33545053,33723970,34105249,34169588,34229800,34336336,34392152,34413949,34628211,34659613,34720849,34896444,34942155,35320986,35403963,35494478,35570593,35690811,35832728,35899268,36228349,36459186,36488450,36703988,36721355,36727890,36760033,36793666,36904526,37052893,37169533,37216286,37271632,37736324,37989272,38423108,38508525,38546749,38577570,38603233,38628378,38691171,38706968,38994548,39176416,39272107,39337028,39717793,39842975,40155553,40311819,40390251,40468764,40749949,40963933,41070493,41075760,41149408,41158724,41335633,41365660,41379455,41396762,41930586,42016573,42147575,42286808,42693896,42737931,43001048,43250603,43291873,43545339,43640893,43786140,43789393,43814144,43875908,44065626,44073468,44119959,44133373,44167522,44418003,44552324,44618653,44762833,44810749,45115124,45268046,45564788,45800353,46210230,46260433,46293084,46301246,46362379,46397053,46705216,46858731,47379133,47572659,47811570,47917124,47943073,48030633,48177100,48271083,48376179,48491486,48586628,48832415,48920948,49018739,49034449,49070078,49279393,49290912,49404839,49638792,49655346,49840849,49902151,49998673,50333195,50426749,50577090,50588228,50770513,50819672,50846113,50999008,51077006,51182749,51361406,51367249,51694813,51815932,51916868,52227793,52233752,52470973,52543368,52562380,52723815,52758699,52778449,52878575,53195966,53408413,53473213,53645528,53761249,53948896,54034478,54173726,54350552,54380449,54450548,54500833,54679249,54697055,54729278,54970849,55085473,55353755,55394749,55452276,55505053,55559773,55765748,55843641,56103010,56168353,56238736,56690749,56928349,57021373,57136033,57172131,57179325,57373884,57465575,57608126,57680439,57682333,57703249,57812520,57827233,57838724,57867032,57908449,57923915,58026651,58106449,58389949,58534359,58587553,58598898,58674493,58762971,58924513,58956686,59093800,59111289,59143443,59183043,59358788,59431249,59467124,59577373,59615713,59702653,59750749,59809249,59963473,59973403,60008324,60035293,60064993,60116468,60122449,60168349,60351219,60399834,60440708,60533713,60644413,60654673,60669848,60670333,60684193,60692508,60710113,60722749,60729553,60730849,60820478,60952526,60980468,60991280,61144371,61148255,61666688,61734788,62130939,62220455,62222955,62266204,62347299,62700171,62807975,63074856,63096460,63268578,63345908,63454290,63881348,64078478,64260483,65039085,65054626,65100411,65430778,65636466,65724711,65863646,66231970,66371152,66424506,66440324,66480525,66494366,67077188,67323612,67501124,67636568,67684576,67869278,68030324,68070625,68253579,68615190,68664308,68958690,69104078,69375024,69508698,69514379,69718388,69877055,70026770,70203086,70276402,70322955,70806155,70912560,70959213,71518655,71624139,71650286,72130628,72495563,73168683,73174148,73189536,73312478,73377906,73555936,73694708,74022760,74222975,74318324,74664546,74667546,74946446,75011152,75369570,75523166,75640064,75715752,76091139,76145148,76210478,76489179,76500575,76607192,76779278,77043255,77419124,78046902,78138650,78575246,78877851,79478364,79776630,79879028,80394208,80593028,80898548,81102068,81200078,81397208,81407108,81629486,81684750,81843326,82179472,82221351,82338228,82375406,82548455,82676643,82748450,82750428,83275605,83441432,83836955,83852466,84032124,84387546,84441668,84449794,84573699,84722099,84776606,84967386,85010091,85045124,85095072,85180221,85288526,85390478,85517043,85676290,85822386,85961859,86048324,86183091,86406315,86469243,86502446,86802686,86948468,87002126,87105575,87130400,87148148,87354650,87620555,87892478,88045124,88255415,88641668,88827312,88951720,88994283,89067570,89298586,89684602,90010019,90137800,90399086,90424388,90443484,90771531,91145319,91244078,91571859,91800690,91930443,92166736,92169278,92212895,92451906,92688695,92883188,92935180,93253055,93472540,93500255,93530078,93766380,93871611,93934059,94065326,94109147,94256408,94348868,94373799,94617100,94835828,95005408,95516228,95597912,95639966,95731956,96069086,96388724,96663806,96937112,96968948,97000478,97243750,97418078,97605848,97920736,98021700,98414468,98424575,98439243,98730206,98941592,99058146,99137625,99278324,99298140,99472043,99512543,99519891,99690315,99926846,99930726,99998403,...,5886498060400384297959671969111364451473026207473334265137391911776463684803780114823183509056592940171659136354106853379423747566950602217801926295525641515714865417135470974587580055248070875392008801085595302826500762812777362008733563890318575487783989955189056890605755834718274457943744525706246672278907941549833859263968512432685938391800689482103422791251139820994084156099938285858187850902067355972600954500349286283784722772442138265593525975305752119731568764773196243316920398192845578955784809209212371271489077225259572252988070793252273142806537573615592218191049383905452606401119595173200132345001780449556998588595606488513925900950513866647474399971960876529643941126819479071567908327232898495531389657455482627310757012061769488279368096298040328127075191039584253459815115156716228073670723234489820181208598630727970643035737180221622739303736727221112401038487635748846252121962544649583262968518157489197217113922735875706709083997057516924215733228812398971539150602939923184185678718666785887879159333045658266726755835388106215996784028165120709916028872150444989981825920024646160834339809975983073408271550083428043644835087064709010617315173879055610724505552044880857823002949563496292816968269913313312539284025843567747262687611637625105518849474298843635555326022790677691164821473142512902745427706160029577833199926974214105753966101817141523395747137312343684827853733879025643736097815898378788514384694544801227200788862975750899138120069129766363140019187041200212366000893663007669211675608534166286755541106111534811512226321592489673871879125939066123801401191890243000244568396531128160304924812844811251194127540675559698069778367712822445313587701222790528465302939575825869279935086158802953961947586179757933634056295158904820096838512741128307913957993831224455146829322239816831684018607651678517750065597162433678606350092154088224102174704872261598612024622144856335707226210100379397239330624396132243663163434999013748208872285241225419152995821954950490247678069746245974530571290771175701511428411954533730402195887142427274963575396696080667856803964593611402643554104326459123356632400882974121904249800813339621130135840915615773311727413254093421996846731980953459462875596505217920782807894681726700092590541810038815978732618232058328033614692587196836451711474610551943342557143786220916007274227510384473240226997990737449947883097265942911834083730188353061362013640785790731235079357553559370737950339815501476}
15587  3630489445808023525399418205765695642680610587995524593457348249: {62332,124648,140229,1011985,1198813,1214382,1712590,1789285,2004789,2055108,2147142,2410405,2892486,2909533,3051524,3156853,3185905,3396909,3823086,4138694,4359320,4509790,4649749,4904235,5022973,5231184,5258942,5411748,5506405,5760517,5838375,5885082,5912420,6227600,6607686,6894385,7006050,7094904,7266117,7406084,7473120,7661713,7868806,7971328,7981767,8050238,8221189,8229310,8273262,8407260,8432785,8899748,8911389,8967744,8988478,9003757,9486997,9731109,9875172,10088712,10119342,10120405,10276509,10580120,10732885,11349801,11350237,11500340,11589277,11902635,12095533,12144486,12234397,12449469,12526046,12696144,12720117,12862510,12879462,13213477,13466893,13800408,13937905,13958773,14070117,14145109,14283162,14339469,14549318,14698405,14809837,15061112,15306085,15364388,15435012,15525459,15557533,16054918,16556110,16725486,16753917,16943751,17125285,17477710,17530909,17638086,17881585,18017797,18087717,18367302,18544933,18907909,19231777,19240405,19297453,19867332,20029688,20144485,20316049,20550342,20595985,20784740,20905453,20973252,21003069,21141493,21156910,21197924,21213157,21238035,21457902,21514597,21644638,21648085,22398385,22533399,22653904,22712209,23088486,23266573,23435828,23630709,23746405,23880877,23895985,24173382,24600446,24715182,24941688,25158903,25283375,25284853,25300069,25388292,25485642,25514977,25717269,25739710,25977702,26001272,26116414,26299429,26581585,26825475,26878062,26933053,27014349,27082717,27165668,27414193,27471878,27494168,27567790,27635509,28059399,28344013,28495686,28613840,28649233,28675182,29106085,29251431,29550385,29592309,29681173,29951075,30044294,30093133,30304510,30340050,30389617,30887652,30930939,31028785,31319437,31353637,31432213,31822622,31897902,31913905,32190570,32362720,32612678,32657349,32658109,32797585,33081348,33240613,33341437,33532885,33660253,33666289,33672117,33868597,34224037,34279364,34336608,34381006,34382653,34506877,34636849,34718372,34853905,34927302,34935717,35460462,35941290,36005732,36365412,36408060,36409318,36627109,37000957,37048405,37234542,37357159,37409758,37625917,37632085,37696629,38195989,38296686,38326453,38337376,38360785,38436046,38475790,38628684,38835264,39233905,39245540,39357102,39380497,39660632,39812029,40157149,40239462,40867064,41137297,41352326,41631524,41824686,42469118,42673453,42711985,42787250,42920420,42977582,42990190,43129548,43306813,43384989,43433943,43491793,43620555,43661924,43689672,44300509,44458086,44467213,44506726,44606469,44618211,44624132,44790910,44874085,45093549,45158502,45293413,45704533,45822549,45879985,45975447,46032942,46170948,46310689,46528592,46589540,46616053,46834813,46939837,47080686,47094648,47170405,47205284,47239069,47486590,47499157,47556733,47587748,47944453,48028885,48383710,48610477,48612248,48719109,48724477,48743185,48867373,48970520,49150881,49171285,49208894,49916829,50024209,50097613,50451937,50585955,50633653,50913073,51254382,51344700,51436760,51448405,51484177,51504504,51563413,51588228,51707075,52344666,52550509,52858510,52981479,53030734,53067277,53086117,53113678,53208133,53241717,53367370,53529349,53749092,53751310,53848902,53853668,53958352,54096829,54688779,54732675,54767680,54844885,54923317,55055982,55091835,55092733,55180309,55190499,55356789,55665733,55690405,55803133,55824429,55907448,56247118,56393905,56604486,56955985,56983908,57406693,57634662,57738349,57866355,57942567,58060452,58074758,58381520,58456453,58491822,58594526,58607173,58616206,58754168,58764624,58826612,59005542,59181997,59224004,59725438,59818609,59896405,60091933,60221375,60703146,60733285,61117333,61138837,61151185,61240789,61613640,61708309,61724112,61738086,62048490,62095143,62289853,62478308,62802913,62895879,63235285,63346462,63430212,63524590,63748760,64008109,64039429,64040844,64361444,64501572,64631533,64639366,64769915,64896085,64985173,65215789,65292190,65366173,65634758,65679210,65702975,65721216,65813862,66098439,66110202,66185056,66207128,66251283,66643918,66828486,66902497,67031293,67056910,67068949,67436120,67533589,67672686,67730893,67902069,67938190,67968949,68063185,68347182,68437597,68688997,69315345,69439626,69451869,69608989,69707185,70057824,70120753,70298420,70344932,70404637,70482493,71222557,71717355,71831806,71875686,71907038,72265650,72298405,72333790,72430046,72737229,72879942,73011253,73035553,73096573,73288933,73381422,73545757,73605117,73867250,73936368,74198485,74333905,74458188,74483019,74487022,74508614,74538613,75010405,75145585,75550885,75837310,75865635,75882342,76094737,76225585,76229508,76239100,76498512,76615509,76907252,77042109,77083360,77168485,77368868,77723898,77832755,77875302,78045812,78128497,78131864,78187909,78193189,78350628,78815052,78843570,78857924,78870575,78910724,79096849,79182385,79539902,79657597,79793949,79840654,79851685,80041069,80468292,80533112,80645894,80674333,80713873,80923344,81051717,81070189,81260589,81485414,81525828,81617293,81675822,81932797,82093917,82158829,82474357,82499029,82757653,82841252,82963940,83050405,83129732,83178414,83398909,83600228,83648173,83648622,83846485,84099808,84154515,84270446,84358104,84376405,84545710,84605720,84819973,84905713,85037905,85326973,85405117,85680644,85830385,86060826,86412189,86573893,86599909,86718780,86758086,86800548,86821429,87139429,87147985,87269857,87446878,87486517,87515288,87632948,87757393,87898347,88323277,88401949,88435029,88566008,88636789,88640700,88905397,88993502,89038182,89200686,89764816,90012486,90083806,90163285,90174702,90479677,90599751,90648733,90661062,91004772,91038762,91230717,91317217,91428789,91467685,91470702,91486920,91714597,91929493,91944920,92000197,92118385,92201879,92500032,92528450,92602182,92678264,92897905,92975509,93044294,93399306,93544213,93763940,93797413,94550080,94612284,94644690,94902867,95018862,95051557,95181435,95498852,95758990,95822022,96064046,96117717,96274789,96427093,96744158,96768142,96773905,97002157,97393477,97483213,97558244,97576717,97581939,97586048,97734109,97837208,98146167,98428177,98454699,98670086,98795469,98882557,99347955,99552728,99556728,99636759,99660486,99741549,99848785,99858238,99948013,...,8829747090600576446939507953667046677209539311210001397706087867664695527205670172234775263584889410257488704531160280069135621350425903326702889443288462273572298125703206461881370082872106313088013201628392954239751144219166043013100345835477863231675984932783585335908633752077411686915616788559370008418361912324750788895952768649028907587701034223155134186876709731491126234149907428787281776353101033958901431750523929425677084158663207398390288962958628179597353147159794364975380597289268368433677213813818556907233615837889358379482106189878409714209806360423388327286574075858178909601679392759800198517502670674335497882893409732770888851425770799971211599957941314794465911690229218607351862490849347743297084486183223940966135518092654232419052144447060492190612786559376380189722672735074342110506084851734730271812897946091955964553605770332434108955605090831668601557731453623269378182943816974374894452777236233795825670884103813560063625995586275386323599843218598457308725904409884776278518078000178831818738999568487400090133753082159323995176042247681064874043308225667484972738880036969241251509714963974610112407325125142065467252630597063515925972760818583416086758328067321286734504424345244439225452404869969968808926038765351620894031417456437658278274211448265453332989034186016536747232209713769354118141559240044366749799890461321158630949152725712285093620705968515527241780600818538465604146723847568182771577041817201840801183294463626348707180103694649544710028780561800318549001340494511503817513412801249430133311659167302217268339482388734510807818688908599185702101787835364500366852594796692240457387219267216876791191311013339547104667551569233667970381551834185792697954409363738803919902629238204430942921379269636900451084442738357230145257769111692461870936990746836682720243983359725247526027911477517776625098395743650517909525138231132336153262057308392397918036933217284503560839315150569095858995936594198365494745152498520622313308427861838128729493732932425735371517104619368961795856936156763552267142617931800595603293830713640912445363095044121001785205946890417103965331156489688685034948601324461182856374701220009431695203761373423659967591119881140132995270097971430189194313394757826881174211842022590050138885812715058223968098927348087492050422038880795254677567211915827915013835715679331374010911341265576709860340496986106174921824645898914367751125595282529592043020461178686096852619036330339056106925509723252214}
15588  3646595973876817096991263828317901079476646255712367096461868232: {77915,93498,109067,155810,186972,295811,451211,529346,575387,730427,947147,1619176,1821573,1832186,1963547,2116787,2300411,2568885,2673052,2740144,2758466,2862856,3032027,3082662,3220713,3244547,3486947,3496898,3517211,3668411,3814405,3856648,3940067,4120811,4301267,4338729,4529212,4577286,4751147,4840907,5097448,5288627,5332898,5449150,5734629,5912411,6089987,6208041,6538980,6650411,6764685,6797411,6914867,6972986,6974912,7061507,7215664,7354187,7390525,7784500,7846776,7879106,7888413,8117622,8372267,8574707,8810248,8827623,8868630,9257605,9265811,9341400,9437867,9459872,9581027,9680546,9688156,9838211,9911529,9964160,10293827,10435787,10509075,10549211,10642356,10690811,10754498,10932986,11031016,11109126,11124685,11209680,11227067,11283347,11803209,11881852,11956211,11956992,12075357,12123707,12235211,12343965,12409893,12610890,12624467,12974812,13166896,13178473,13225150,13349622,13451616,13480811,13482717,13492456,13593026,13702012,14138507,14375425,14472506,14547227,14812758,15008267,15116411,15133068,15173498,15179013,15278387,15348386,15520811,15870180,16057211,16192648,16599292,16616987,16928192,16960156,17014667,17089346,17093987,17172616,17250510,17278787,17525977,18216729,18400544,18471746,18665267,18760156,18789069,18826390,19044216,19119292,19205485,19293765,19319193,19331066,19440107,19619867,19822166,20233211,20360411,20580016,20700612,20892467,21378746,21424743,21521267,21823977,21871211,22056698,22120211,22300648,22338556,22591668,22640507,22751113,22900898,23046582,23083667,23152518,23206307,23517448,23719211,24057397,24082377,24116956,24180227,24325211,24411386,24489736,24686411,24745466,24834165,25037110,25088229,25189067,25411898,25617107,25735547,25759211,25980925,26018987,26076026,26089667,26216565,26457129,26489776,26497405,27141227,27232706,27303347,27400456,27550953,27726266,27890498,27964336,28004092,28199411,28317380,28449947,28610536,28676867,28744787,28909309,29294785,29531867,29688107,29800998,30021587,30044532,30498626,30529427,30784648,30825513,30989411,31076627,31177110,31337507,31459878,31507612,31735365,31769747,31788866,31796886,31834307,32048987,32091827,32186853,32231176,32369507,32466957,32501590,32953576,33131411,33255584,33257387,33545204,33547898,33550211,33851056,33862211,33957085,33980856,33986507,34254827,34289692,34367710,34501307,34562747,34632729,34636936,34685411,34703053,34787411,34974146,35153742,35475707,35696411,35758681,35767300,35776427,35837416,36019132,36075386,36260073,36701498,36900669,36961307,37072773,37412532,37465811,37754411,37869347,37945811,37994248,38082438,38155427,38228463,38231411,38233576,38345147,38609565,38797211,38966553,39001908,39058787,39174621,39337307,39456412,39521987,39724211,39950786,40180211,40317093,40409786,40453400,40541411,40562498,40613267,40712518,40720811,40748502,40970627,41094947,41183536,41207817,41241252,41351685,41360027,42040811,42230627,42232826,42453707,42530536,42535717,42641411,42709427,42743529,42849205,42920760,42997067,43012773,43215467,43299107,43397965,43543132,43586498,43911827,43993787,44108464,44481347,44529707,44896156,45007165,45066441,45225146,45456765,45497411,45510075,45637667,45668747,45782144,45823667,46100507,46331478,46359587,46569736,46580956,47034227,47093411,47213558,47280616,47431586,47663747,47733933,47846853,47921720,47965811,48250211,48285855,48334907,48461411,48487216,48544080,48726347,48795587,48878411,48919017,48923446,49056925,49166027,49317626,49575790,49610867,49622022,49646056,50007707,50020811,50179898,50262172,50294147,50792411,50855411,50867987,51043211,51062248,51083830,51114349,51303107,51352211,51409897,51419046,51463586,51486587,51504912,51571509,51716411,51747266,51776411,51780352,51883907,52039405,52077558,52171706,52237547,52390953,52476136,52549667,52583987,52697867,52867187,52934411,53056907,53190693,53266211,53418587,53494187,53650525,53652616,53716898,53911935,53960411,54002027,54008598,54177467,54548118,54577405,54612090,54613977,55048667,55105811,55190987,55217173,55247411,55377947,55570811,55579907,55607147,55766248,55780165,55795898,55849067,55851813,56102411,56114637,56136827,56179667,56188211,56344826,56365787,56432507,56515187,56564411,56618426,56774387,56798267,56853707,56924411,56963411,57033107,57040811,57260747,57299906,57305411,57445029,57481187,57506064,57654069,57659387,57713685,57763907,57846227,57846652,57911924,57931237,57943026,57947507,58046987,58160740,58196027,58236925,58240547,58252896,58259507,58353227,58387537,58420811,58445147,58547147,58692947,58710107,58744211,58772411,58868310,58877747,58942787,59006605,59035653,59125907,59146211,59191427,59265347,59275067,59277448,59365811,59407787,59458211,59475292,59484685,59490948,59551787,59720267,59811347,59838227,59868467,59890811,59945411,59959667,59966747,60029027,60049211,60052547,60101627,60124732,60211336,60293507,60301547,60343211,60359193,60406547,60415811,60499427,60520898,60550187,60565811,60604307,60645947,60652187,60659411,60664067,60676211,60686411,60699347,60722411,60730811,60733667,60734987,60745211,60765310,61096732,61213150,61300596,61377256,61561264,62028489,62361506,62447286,62737029,62774248,62792864,63271226,63703677,63787898,64180875,64295950,64380630,64466373,64485285,64558586,64694322,64941986,64958812,65492886,65534508,66336698,66462626,66555772,66687129,66760089,66936198,67090106,67186365,67317085,67447940,67737753,68210498,68339176,68365381,68459600,68672672,68784304,68827898,69049413,69256422,69319226,69441698,69792888,69884310,70466473,70621029,70641972,70807926,70988956,71141186,71229885,71381622,71665456,71798536,72456698,72575565,72918372,72976900,73407976,73442710,73455780,73520066,73533265,73587332,73809052,73813341,74030005,74105786,74339066,74432572,74543264,75472648,75978544,76575877,76846216,76881573,77017050,77093498,77155140,77206466,77256756,77382342,77413936,77495257,77989096,78097885,78352832,78516999,78544214,78674056,79287765,79435586,79546101,79670517,79685950,80051055,80311106,80451805,80623638,80626965,80773353,80780502,80937528,81093481,81499898,81927866,82140986,82151520,82153357,82298816,82317448,82583973,82671266,82731320,82758910,82793524,83861172,84033146,84295150,84370677,84573616,84906729,85387792,85475862,85607557,86002096,86451993,86501206,86583746,87090678,87108637,87112137,87281786,87572280,87578786,87628288,87737733,87751816,87873025,87891789,87924309,87931165,88131252,88146936,88239918,88266746,88335044,88508313,88836006,89104648,89237306,89525666,89588157,89621498,90230248,90536092,91054719,91129576,91600706,92420460,92520866,92586168,92602492,92607129,92724758,92794106,93072735,93410432,93717462,94758266,95019693,95145318,95286885,95298875,95623140,95834248,95886146,96061266,96134065,96354200,96542166,96711085,96752358,96959049,96982972,97173256,97557265,97664830,97827877,97841896,97938285,98037478,98068898,98140156,98452137,98518815,98558786,98572405,98581824,98638405,98720793,98809678,99128617,99165303,99277584,99310692,99681698,99804302,99965877,99997346,...,13244620635900864670409261930500570015814308966815002096559131801497043290808505258352162895377334115386233056796740420103703432025638854990054334164932693410358447188554809692822055124308159469632019802442589431359626716328749064519650518753216794847513977399175378003862950628116117530373425182839055012627542868487126183343929152973543361381551551334732701280315064597236689351224861143180922664529651550938352147625785894138515626237994811097585433444437942269396029720739691547463070895933902552650515820720727835360850423756834037569223159284817614571314709540635082490929861113787268364402519089139700297776254006011503246824340114599156333277138656199956817399936911972191698867535343827911027793736274021614945626729274835911449203277138981348628578216670590738285919179839064570284584009102611513165759127277602095407719346919137933946830408655498651163433407636247502902336597180434904067274415725461562341679165854350693738506326155720340095438993379413079485399764827897685963088856614827164417777117000268247728108499352731100135200629623238985992764063371521597311064962338501227459108320055453861877264572445961915168610987687713098200878945895595273888959141227875124130137492100981930101756636517866658838178607304954953213389058148027431341047126184656487417411317172398179999483551279024805120848314570654031177212338860066550124699835691981737946423729088568427640431058952773290862670901227807698406220085771352274157365562725802761201774941695439523060770155541974317065043170842700477823502010741767255726270119201874145199967488750953325902509223583101766211728033362898778553152681753046750550278892195038360686080828900825315186786966520009320657001327353850501955572327751278689046931614045608205879853943857306646414382068904455350676626664107535845217886653667538692806405486120255024080365975039587871289041867216276664937647593615475776864287707346698504229893085962588596877055399825926755341258972725853643788493904891297548242117728747780933469962641792757193094240599398638603057275656929053442693785404235145328400713926897700893404940746070461368668044642566181502677808920335625655947996734734533027552422901986691774284562051830014147542805642060135489951386679821710199492905146957145283791470092136740321761317763033885075208328719072587335952148391022131238075633058321192882016350817873741872520753573518997061016367011898365064790510745479159262382736968848371551626688392923794388064530691768029145278928554495508584160388264584878321}
15589  3662773394033975923585839706990439071615792117787447703096234275: {124664,140247,233715,249296,280458,794019,1416779,2023970,2397626,2428764,2504999,2748279,3251831,3341315,3374567,3425180,3438539,3578570,4009578,4110216,4137699,4294284,4460267,4623993,4820810,5245347,5613911,5661515,5784972,5819066,6103048,6313706,6325187,6371810,6793818,6865929,7646172,7708967,7999347,8173725,8190107,8277388,8563091,8718640,9019580,9299498,9652139,9730625,9808470,10045946,10459479,10462368,10517884,10823496,11012810,11431607,11521034,11676750,11770164,11805899,11818659,11824840,12110195,12176433,12455200,12685559,13215372,13302945,13788770,14012100,14168567,14189808,14520819,14532234,14812168,14852315,14921447,14946240,15026039,15323426,15737612,15915419,15942656,15963534,16084907,16100476,16131747,16218515,16399479,16442378,16458620,16546524,16663689,16716947,16814520,16865570,17127515,17387831,17799496,17822778,17935488,17976956,18007514,18916335,18973994,19462218,19513067,19750344,19837725,20024433,20177424,20238684,20240810,20389539,20553018,20577767,20718347,20749115,20807099,21160240,21200195,21428519,21465770,21494339,21585047,21708759,21916739,22219137,22599527,22699602,22700474,22760247,23000680,23022579,23178554,23450195,23530187,23606231,23805270,23899115,23975399,24191066,24288972,24468794,24898938,25034219,25052092,25392288,25440234,25624247,25634019,25725020,25758924,25875765,26012747,26426954,26933786,26936567,27496859,27600816,27707619,27875810,27917546,27923195,28140234,28202279,28239585,28290218,28516739,28566324,28678938,28834379,28996599,29098636,29304827,29396810,29619674,29733249,29882099,30102899,30122224,30146195,30268919,30307319,30612170,30728776,30870024,31050918,31115066,31357739,32019731,32068119,32109836,32660147,33085047,33112220,33244967,33450972,33454379,33507834,33821219,33887502,34250570,34351347,34569873,34728777,34955420,35005115,35061818,35276172,35308547,35396725,35763170,36035594,36175434,36617079,36734604,37089866,37118199,37214219,37263959,37555665,37815818,38117847,38427671,38463554,38480810,38594906,38595947,38664131,39114039,39384515,39734664,39780299,40059376,40288970,40632098,40748519,40849059,41100684,41191970,41370539,41569480,41589399,41810906,41835747,41931505,41946504,42006138,42282986,42313820,42395848,42426314,42476070,42862115,42915804,43029194,43289276,43296170,43440299,44679467,44701497,44709125,44796770,45023915,45066798,45097319,45227579,45294899,45307808,45424418,45630167,45747939,45916619,45976979,46176972,46491227,46533146,46765665,46871656,46946039,47189817,47261418,47358107,47492810,47683299,47695329,47761754,47791970,48346764,48569747,48752385,48795467,48840611,49200892,49320119,49320515,49430364,49883376,50317806,50321847,50566750,50569706,50600138,50776584,50971284,51029954,51180779,51250967,51434538,51479420,51551565,51570167,51867767,51955404,52002544,52006859,52232828,52344791,52355147,52461219,52541399,52598858,52684919,52730613,53163170,53528579,53650950,53705099,53756124,53866106,54028698,54113079,54165434,54331336,54428915,54828386,54927467,54943756,54988336,55052247,55091699,55099907,55135580,55271018,56118798,56120195,56387459,56498387,56688026,56991372,57123657,57227680,57298466,57350364,57541139,57552707,57740387,58188059,58212170,58226195,58502862,59100770,59184618,59362346,59796779,59902150,59926179,60088588,60186266,60609020,60614679,60680100,60779234,60843747,60938579,61068777,61122753,61448627,61574231,61775304,61861878,62057570,62105147,62281619,62638874,62649047,62707274,62811107,62823719,62827715,62864426,62882339,63189107,63349239,63364631,63645244,63795804,63827810,64231979,64381140,64550459,64725440,65225356,65314698,65316218,65379747,65595170,66038567,66162696,66481226,66682874,67065770,67240439,67320506,67332578,67344234,67737194,67837719,68240459,68240747,68397047,68448074,68558728,68673216,68762012,68765306,68839799,68996891,69013754,69084899,69273698,69436744,69497217,69618071,69707810,69854604,69871434,70191491,70820337,70920924,71017739,71034839,71147379,71882580,72011464,72017111,72027767,72308315,72389905,72700925,72730824,72816120,72818636,73056311,73106231,73254218,73385169,73500407,73555379,73976439,74001914,74096810,74344115,74363685,74433033,74469084,74714318,74740199,74773379,74819516,74956667,75155915,75251834,75264170,75269847,75393258,75645947,76013267,76370915,76391978,76489079,76593372,76625745,76652906,76674752,76721570,76782839,76800659,76872092,76951580,77128569,77195379,77257368,77620899,77670528,77966567,78116337,78257559,78467810,78491080,78714204,78760994,78774551,78951467,79269059,79321264,79371899,79624058,79679207,79738379,80314298,80478924,80575347,80842487,81012897,81193139,81198515,81627971,81734128,81739799,81822177,81918135,82198199,82274594,82295747,82704652,83194715,83263048,83649372,83693847,83818331,83854967,84309925,84517239,84927639,84938236,85026599,85047059,85346906,85423970,85574500,85611659,85761107,85840840,85856279,85949859,85955164,85980380,86045387,86259096,86280347,86386859,86597351,86613626,86769978,86867886,86914539,86983586,87241110,87323848,87379344,88302465,88529399,88601018,88648331,88736195,88916172,88934426,89013452,89029079,89121779,89212938,89236422,89248264,89581820,89748170,90165431,90187098,90317004,90441527,90586826,90677881,90781347,90854519,91147965,91221125,91409066,91645098,91759970,91819725,91950894,91984165,92065884,92261315,92341896,92621378,93040715,93057184,93179080,93232106,93542259,93669626,93670929,93749879,93809627,93879674,93920531,94161372,94189296,94340810,94410568,94478138,94749671,94906839,94973180,94998314,95045747,95113466,95175496,95288459,95681847,95888906,96057770,96376859,96443925,96570945,96767420,96837879,97041483,97220954,97224496,97406219,97412979,97438218,97448954,97486370,97536899,97590059,97734746,97804499,97888499,97941040,98239329,98301762,98342570,98417788,98562347,99071867,99505047,99693939,99833658,...,17659494181201152893879015907334093354419078622420002795412175735329391054411340344469550527169778820514977409062320560138271242700851806653405778886576924547144596251406412923762740165744212626176026403256785908479502288438332086026200691670955726463351969865567170671817267504154823373831233577118740016836723824649501577791905537298057815175402068446310268373753419462982252468299814857574563552706202067917802863501047858851354168317326414796780577925917256359194706294319588729950761194578536736867354427627637113814467231675778716758964212379756819428419612720846776654573148151716357819203358785519600397035005341348670995765786819465541777702851541599942423199915882629588931823380458437214703724981698695486594168972366447881932271036185308464838104288894120984381225573118752760379445345470148684221012169703469460543625795892183911929107211540664868217911210181663337203115462907246538756365887633948749788905554472467591651341768207627120127251991172550772647199686437196914617451808819769552557036156000357663637477999136974800180267506164318647990352084495362129748086616451334969945477760073938482503019429927949220224814650250284130934505261194127031851945521637166832173516656134642573469008848690488878450904809739939937617852077530703241788062834912875316556548422896530906665978068372033073494464419427538708236283118480088733499599780922642317261898305451424570187241411937031054483561201637076931208293447695136365543154083634403681602366588927252697414360207389299089420057561123600637098002680989023007635026825602498860266623318334604434536678964777469021615637377817198371404203575670729000733705189593384480914774438534433753582382622026679094209335103138467335940763103668371585395908818727477607839805258476408861885842758539273800902168885476714460290515538223384923741873981493673365440487966719450495052055822955035553250196791487301035819050276462264672306524114616784795836073866434569007121678630301138191717991873188396730989490304997041244626616855723676257458987465864851470743034209238737923591713872313527104534285235863601191206587661427281824890726190088242003570411893780834207930662312979377370069897202648922365712749402440018863390407522746847319935182239762280265990540195942860378388626789515653762348423684045180100277771625430116447936197854696174984100844077761590509355134423831655830027671431358662748021822682531153419720680993972212349843649291797828735502251190565059184086040922357372193705238072660678112213851019446504428}
15590  3679022015842409749419099108389733746831307453022018283748624054: {109081,155830,186996,218134,311620,373944,420687,482329,591622,902422,1058692,1150774,1225369,1460854,1502821,1894294,2147689,2331289,2514601,3035955,3062809,3238352,3517669,3596439,3643146,3664372,3699109,3927094,4151449,4233574,4241701,4281475,4331881,4600822,4781701,5050729,5137770,5319109,5340167,5346104,5367855,5480288,5516932,5675941,5725712,6014367,6031621,6064054,6165324,6441426,6489094,6973894,6993796,7034422,7231215,7336822,7530409,7628810,7713296,7880134,8241622,8602534,8662501,8677458,8728599,9058424,9094681,9154572,9470559,9502294,9557715,9610921,9681814,9868069,10190727,10194896,10346735,10577254,10665796,10898300,10974889,11274475,11397349,11469258,11824822,11985769,12153241,12179974,12416082,12570661,12653929,12903301,12960647,13077960,13147355,13300822,13317481,13529370,13594822,13729861,13829734,13945972,13949247,13949824,14123014,14431328,14549221,14708374,14712705,14781050,15037381,15068919,15118489,15569000,15574559,15693552,15758212,15764761,15776826,16235244,16326469,16519215,16645861,16744534,16884649,17149414,17281189,17281551,17515125,17620496,17655246,17737260,17911909,18515210,18531622,18538021,18682800,18875734,18919744,19162054,19361092,19376312,19672015,19676422,19823058,19928320,20125595,20464921,20573275,20587654,20683155,20871574,20920681,21018150,21098422,21284712,21381622,21508996,21798351,21865972,22062032,22123369,22218252,22249370,22419360,22454134,22471195,22566694,22717801,22985139,23086981,23234149,23606418,23763704,23912422,23913984,23945301,24150714,24247414,24328729,24470422,24617881,24663567,24687930,24819786,24833989,25192729,25221780,25248934,25298355,25549669,25620841,25762969,25949624,26333792,26356946,26450300,26699244,26734167,26887679,26903232,26961622,26965434,26984912,27011271,27098821,27168409,27186052,27404024,27791461,28277014,28460991,28476901,28750850,28945012,29094454,29193327,29222569,29625516,30016534,30026089,30232822,30266136,30346996,30357829,30358026,30361215,30490021,30556774,30696772,30829527,31015909,31041622,31315115,31342249,31740360,31988407,32114422,32156275,32198655,32385296,33198584,33233974,33325381,33856384,33920312,33950341,34029334,34049403,34050711,34165547,34178692,34187974,34345232,34501020,34506649,34557574,34629481,34767831,35051954,35299909,35481241,35707905,35722009,36140581,36286599,36318889,36373295,36433458,36673561,36703191,36801088,36943492,37096367,37317061,37330534,37348407,37491049,37520312,37578138,37652780,37779589,38088432,38123461,38160351,38237509,38238584,38410970,38521369,38587530,38638386,38662132,38880214,39239734,39362149,39473029,39640431,39644332,39803941,40137295,40400679,40466422,40565989,40673701,40720822,41012699,41160032,41390275,41401224,41734981,41784934,41813715,41876319,42210351,42435327,42460741,42665509,42716521,42757492,42849486,43018407,43021081,43042534,43423129,43473061,43647954,43694275,43742422,44095215,44113396,44213401,44240422,44429511,44553349,44601296,44677112,45175321,45183336,45281014,45502226,45505189,45801796,45918255,46093164,46167334,46305036,46382761,46412614,46576377,46672599,47034896,47057221,47101609,47438422,47497861,47539919,48114794,48164754,48233912,48272869,48357541,48360454,48650422,48818089,48822772,48979472,49372822,49490932,49512709,49668330,49951081,50029849,50074220,50176458,50261751,50378134,50534821,50573161,50823796,50831253,50877289,51234214,51324841,51361669,51375855,51471094,51518422,51544729,51797989,51961850,52037974,52152052,52153669,52179334,52398361,52433130,52570981,52592727,52673689,52892275,52910821,52914258,52979552,52994810,53078041,53276329,53374501,53568901,53644755,54053391,54111595,54198181,54263151,54282454,54465412,54606694,54651241,54769321,54800912,55088101,55101906,55173529,55258309,55398169,55452532,55590949,55634799,55780996,55860229,55928672,56008184,56044441,56122309,56199529,56301481,56326789,56398822,56634760,56697769,56723727,56865349,56899894,56982889,57006181,57052549,57221072,57353734,57489574,57692521,57695331,57721215,57817369,57818618,57892359,58059289,58214809,58365721,58439449,58589570,59035429,59063734,59204521,59278501,59376214,59379049,59476069,59569561,59601996,59828869,59908249,59930281,59988887,60043174,60046309,60066469,60076441,60089064,60115609,60172201,60234949,60318469,60357529,60407867,60423301,60433455,60450661,60514021,60537349,60580549,60614569,60668389,60695461,60712741,60737689,60755941,60756841,60757151,60948147,60997252,61058854,61501115,61569296,61651026,61713311,61787955,61978822,62153254,62354220,62675014,62716359,62919756,63009207,63010031,63015224,63424479,63470730,63539494,63577732,63593772,63639471,63668614,63714105,64097974,64183654,64349275,64373706,64462352,64543791,64739014,64933914,64944255,65003180,65256659,65291035,65907152,66262822,66511168,66514774,67090408,67095796,67100422,67195155,67600197,67702112,67724422,67914170,67961712,67973014,68136627,68509654,68579384,68679695,68735420,68919475,69002614,69125494,69265458,69273872,69370822,69406106,69574822,69799719,69948292,70307484,70892127,70951414,71239215,71392822,71517362,71534600,71552854,71642631,71674832,71687955,72038264,72150772,72520146,72855167,73402996,73801338,73922614,74145546,74825064,74931622,75110735,75476709,75508822,75738694,75761275,75850125,75854559,75891622,75900207,75988496,76164876,76310854,76408367,76456926,76462822,76467152,76544931,76690294,77029447,77151807,77219130,77594422,77933106,78003816,78092231,78117574,78349242,78674614,78898287,78912824,79043974,79448422,79556555,79744755,79901572,80360422,80476425,80634186,80799159,80819572,80906800,81043047,81082822,81124996,81226534,81248151,81425036,81441622,81497004,81531695,81941254,82189894,82242579,82367072,82415634,82482504,82609247,82703370,82720054,82906527,83278559,84081622,84178197,84461254,84465652,84907414,85032039,85061072,85071434,85282822,85418854,85487058,85698410,85841520,85947699,85952515,85994134,86025546,86430934,86598214,86795930,87086264,87172996,87318255,87754293,87823654,87987574,88216928,88651155,88776927,88962694,89043519,89059414,89792312,89853225,90014330,90132882,90279399,90450292,90913530,90994822,91020150,91023295,91168851,91275334,91337494,91564288,91647334,92201014,92662956,92719174,92792817,93086355,93139472,93161912,93524395,93958311,94060911,94068454,94186822,94243919,94296639,94427116,94561232,94863172,95327494,95467866,95693706,95741715,95843440,95931622,96090115,96189475,96500422,96571710,96669814,96922822,96974432,97088160,97090331,97452694,97591174,97756822,97838034,97846892,97972047,97974327,98113850,98332054,98392755,98635252,99151580,99221734,99244044,99292112,99721839,...,26489241271801729340818523861001140031628617933630004193118263602994086581617010516704325790754668230772466113593480840207406864051277709980108668329865386820716894377109619385644110248616318939264039604885178862719253432657498129039301037506433589695027954798350756007725901256232235060746850365678110025255085736974252366687858305947086722763103102669465402560630129194473378702449722286361845329059303101876704295251571788277031252475989622195170866888875884538792059441479383094926141791867805105301031641441455670721700847513668075138446318569635229142629419081270164981859722227574536728805038178279400595552508012023006493648680229198312666554277312399913634799873823944383397735070687655822055587472548043229891253458549671822898406554277962697257156433341181476571838359678129140569168018205223026331518254555204190815438693838275867893660817310997302326866815272495005804673194360869808134548831450923124683358331708701387477012652311440680190877986758826158970799529655795371926177713229654328835554234000536495456216998705462200270401259246477971985528126743043194622129924677002454918216640110907723754529144891923830337221975375426196401757891791190547777918282455750248260274984201963860203513273035733317676357214609909906426778116296054862682094252369312974834822634344796359998967102558049610241696629141308062354424677720133100249399671383963475892847458177136855280862117905546581725341802455615396812440171542704548314731125451605522403549883390879046121540311083948634130086341685400955647004021483534511452540238403748290399934977501906651805018447166203532423456066725797557106305363506093501100557784390076721372161657801650630373573933040018641314002654707701003911144655502557378093863228091216411759707887714613292828764137808910701353253328215071690435773307335077385612810972240510048160731950079175742578083734432553329875295187230951553728575414693397008459786171925177193754110799651853510682517945451707287576987809782595096484235457495561866939925283585514386188481198797277206114551313858106885387570808470290656801427853795401786809881492140922737336089285132363005355617840671251311895993469469066055104845803973383548569124103660028295085611284120270979902773359643420398985810293914290567582940184273480643522635526067770150416657438145174671904296782044262476151266116642385764032701635747483745041507147037994122032734023796730129581021490958318524765473937696743103253376785847588776129061383536058290557857108991017168320776529169756642}
15591  3695342150206099389741324664094036968597168816799578880847811903: {233745,249328,280494,327201,389525,467430,498592,560916,887433,1323365,1353633,1588038,1726161,1883849,2191281,2833558,2841441,3843073,4047940,4580465,4677841,4795252,4857528,4960769,5009998,5464719,5496558,5890641,6080441,6350361,6503662,6682630,6749134,6850360,6877078,6896165,6901233,7157140,7475221,7706655,7926121,8019156,8220432,8275398,8588568,8742245,8920534,9052241,9096081,9153649,9247986,9641620,9662139,9733641,10460841,10490694,10551633,11005233,11227822,11323030,11443215,11569944,11638132,11820201,12206096,12362433,12406073,12627412,12650374,12743620,12903801,13016187,13332245,13510081,13587636,13622875,13731858,14148761,14253441,14522721,14641961,15292344,15417934,15865881,15998694,16347450,16380214,16554776,16954273,17126182,17203887,17432465,17437280,17737233,17977249,18039160,18211721,18269961,18598996,18624123,19225481,19304278,19461250,19616940,19697765,19951233,20091892,20294055,20392233,20744601,20793241,20918958,20924736,21035768,21184521,21646992,22025620,22062561,22171575,22705921,22863214,23042068,23254993,23272601,23353500,23540328,23611798,23637318,23649680,23665239,23978521,24201365,24220390,24352866,24678001,24910400,25116801,25306601,25371118,25509601,25724121,26430744,26482869,26567141,26605890,26886245,27332465,27577540,27772815,27797433,27898273,28024200,28134473,28313601,28313681,28337134,28379616,28743081,29041638,29048761,29064468,29514633,29624336,29680273,29700581,29704630,29734587,29842894,29892480,30052078,30283201,30324569,30646852,30881481,31307361,31475224,31527225,31647633,31830838,31885312,31927068,32072433,32169814,32178961,32200952,32263494,32437030,32798958,32830273,32884756,32917240,33062875,33093048,33327378,33334961,33374055,33433894,33458761,33629040,33674981,33681201,33731140,33850041,33982565,34232873,34255030,34391561,34775662,34967701,35409627,35598992,35645556,35868633,35870976,35929841,35953912,36015028,36181265,36226071,36371121,36705633,37031895,37229679,37832670,37873401,37933745,37947988,38049521,38370965,38924436,39026134,39092473,39500688,39535419,39675450,39935813,40048866,40354848,40442433,40448151,40477368,40481620,40779078,41106036,41155534,41436694,41498230,41614198,42204673,42320480,42323369,42400390,42415521,42723365,42857038,42931540,42988678,43126275,43170094,43417518,43641681,43833478,44438274,45024801,45199054,45285269,45294341,45349233,45399204,45400948,45520494,45537039,45693973,45835161,46001360,46045158,46179365,46357108,46562433,46900390,47060374,47065975,47212462,47289209,47610540,47798230,47950798,48171633,48327665,48382132,48577944,48937588,49007161,49270001,49555415,49797876,49850961,49948601,50068438,50104184,50784576,50880468,51044001,51248494,51268038,51281961,51450040,51497573,51517848,51633401,51751530,51836361,52025494,52208929,52235249,52577931,52634201,52853908,52929649,53222081,53446865,53861513,53867572,53873134,53926561,54650187,54993718,55138321,55141745,55201632,55415238,55751620,55835092,55846390,55995801,56280468,56367207,56404558,56417189,56479170,56580436,57033478,57132648,57252245,57357876,57616455,57668758,57881295,57957579,57993198,58125313,58144361,58197272,58202321,58320321,58609654,58704107,58793620,58859601,58883761,59126441,59155241,59239348,59466498,59764198,60006961,60205798,60244448,60292390,60313361,60537838,60614638,60699633,60946561,61028465,61081233,61224340,61457552,61582249,61740048,61863665,62101836,62230132,62592775,62677401,62715478,63033481,63529745,64039462,64136238,64219672,64274229,64446121,64563801,64766129,65033713,65190065,65320294,65471931,65613633,66170094,66224440,66360633,66489934,66599573,66770821,66901944,66908758,67015668,67551161,67642438,67748441,67775004,67921521,68081765,68253339,68501140,68702694,69048721,69139746,69251001,69315665,69457554,69618921,69726245,69877049,69910840,70010230,70123636,70200649,70552344,70617094,70793450,71157633,71526340,71821409,72071188,72172191,72247131,72350868,72362593,72491473,72540681,72975633,73234158,73307921,73469208,73762601,74059233,74179732,74236398,74428438,74458369,74502495,74527918,74732009,74885473,75111330,75264687,75567201,75570841,75631636,76200481,76235694,76246565,76851321,76855342,76927108,76961620,77189812,77191894,77206641,77277633,77328262,77942775,78056961,78228078,78269001,78568273,78649695,78769030,79371387,79469328,79472165,79492215,79560598,79567169,79853153,80118752,80577940,80695481,81091193,81253975,81264196,81423681,81497038,81516673,81698118,81910041,82201368,82208953,82383940,82652859,82741078,83138960,83178798,83421041,83621812,83671494,83863010,83869745,83893008,84012276,84263513,84565972,84598233,84627640,84791696,84852628,84952140,85349841,85724230,85831608,85919275,86030601,86058388,86234361,86398273,86574821,86578552,86592340,86727927,86880598,87435365,87884355,87958801,88595601,89036713,89064321,89358934,89402994,89418250,89593540,89824073,89833861,90047830,90064761,90133596,90188465,90194638,90455158,90589798,90615616,90745273,90848836,91260334,91495878,91588281,91753745,91833238,91953958,92353944,92476539,92823121,92968233,92982454,93000281,93066292,93229881,93531330,93743312,93892078,94012521,94084709,94379634,94522836,94654913,94716214,94762009,94897841,94985620,95206095,95309241,95366598,95390658,95502921,95523508,95541121,95583940,95850649,96146961,96275481,96560559,96693528,96927841,97108521,97139494,97400871,97504770,97590934,97681222,98401784,98640238,98641030,98799881,98860728,99394233,99766752,99772161,99876965,...,39733861907702594011227785791501710047442926900445006289677395404491129872425515775056488686132002346158699170390221260311110296076916564970163002494798080231075341565664429078466165372924478408896059407327768294078880148986247193558951556259650384542541932197526134011588851884348352591120275548517165037882628605461378550031787458920630084144654654004198103840945193791710068053674583429542767993588954652815056442877357682415546878713984433292756300333313826808188089162219074642389212687801707657951547462162183506082551271270502112707669477854452843713944128621905247472789583341361805093207557267419100893328762018034509740473020343797468999831415968599870452199810735916575096602606031483733083381208822064844836880187824507734347609831416944045885734650011772214857757539517193710853752027307834539497277381832806286223158040757413801840491225966495953490300222908742508707009791541304712201823247176384687025037497563052081215518978467161020286316980138239238456199294483693057889266569844481493253331351000804743184325498058193300405601888869716957978292190114564791933194887015503682377324960166361585631793717337885745505832963063139294602636837686785821666877423683625372390412476302945790305269909553599976514535821914864859640167174444082294023141378553969462252233951517194539998450653837074415362544943711962093531637016580199650374099507075945213839271187265705282921293176858319872588012703683423095218660257314056822472096688177408283605324825086318569182310466625922951195129512528101433470506032225301767178810357605622435599902466252859977707527670749305298635184100088696335659458045259140251650836676585115082058242486702475945560360899560027961971003982061551505866716983253836067140794842136824617639561831571919939243146206713366052029879992322607535653659961002616078419216458360765072241097925118763613867125601648829994812942780846427330592863122040095512689679257887765790631166199477780266023776918177560931365481714673892644726353186243342800409887925378271579282721798195915809171826970787160328081356212705435985202141780693102680214822238211384106004133927698544508033426761006876967843990204203599082657268705960075322853686155490042442628416926180406469854160039465130598478715440871435851374410276410220965283953289101655225624986157217762007856445173066393714226899174963578646049052453621225617562260720556991183049101035695095194371532236437477787148210906545114654880065178771383164193592075304087435836785663486525752481164793754634963}
15592  3711734109375860452241746936657121730004552792981601951269702382: {171391,218162,311660,358087,373992,420741,436268,623240,637591,701145,747888,841374,964658,1183244,1804844,2025391,2117384,2301007,2301548,2382057,2450738,2758927,2921708,2941591,3005642,3578647,3788588,4031527,4250337,4295378,4482607,4662578,5029202,5059925,5468647,5994065,6071910,6125618,6357487,6476704,6534391,6711007,6975391,7035338,7192878,7286292,7328744,7398218,7414591,7514997,7677247,7854188,8244837,8302898,8467148,8483402,8562950,8663762,8946425,9201644,9563402,9583591,9755167,9755493,10023945,10101458,10123701,10275540,10315617,10438591,10638218,10680334,10692208,10735710,10960576,11033864,11286391,11351882,11451424,11959447,12028734,12052025,12063242,12126991,12128108,12330648,12377767,12413097,12882852,12978188,13380801,13871979,13947788,13950967,13987592,14068844,14196991,14462430,14485429,14547665,14673644,15012391,15060818,15255607,15257620,15426592,15736041,15760268,15784265,15929525,15981367,16483244,16841733,16984545,17019391,17205068,17325002,17354916,17457198,17573287,18116848,18189362,18309144,18406297,18436567,18941118,18975561,19004588,19115430,19221842,19363628,19736138,20289847,20366167,20381454,20389792,20597787,20693470,20709029,21154508,21276391,21331592,21796600,21877447,21949778,22176247,22548950,22794698,22938516,23126901,23248745,23649644,23726047,23971538,23998041,24017647,24306482,24359948,24521175,24570321,24832164,24957391,25114865,25141322,25307858,25671991,25689273,25806602,25921294,26026591,26155920,26167927,26294710,26601644,26634962,26870287,26940127,27058740,27189644,27459722,27532025,27540821,27634567,27659468,27891944,27898494,27899648,27979087,28175833,28246028,28662727,28798591,28802585,28862656,28956417,29098442,29191875,29416748,29425410,29562100,30074762,30137838,30236978,30933247,31129591,31138000,31149118,31378437,31387104,31459673,31516424,31529522,31553652,32101591,32470488,32652938,33038430,33183607,33246607,33291722,33489068,33685591,33769298,33872647,34121047,34294821,34298828,34471925,34562378,34563102,34737007,34798207,35030250,35240992,35310492,35417697,35455977,35474520,35751749,35823818,35827591,36330585,36529299,36600727,36836167,37030420,37063244,37076042,37187167,37365600,37751468,37804481,37839488,37996087,38056677,38308565,38324108,38621767,38722184,38752624,38903287,39344030,39352844,39571591,39646116,39856640,39908835,40251190,40769887,40823527,40929842,41105945,41146550,41175308,41355967,41366310,41743148,41841362,41881207,42036300,42163925,42196844,42244591,42505701,42569424,42763244,43011391,43017992,43363687,43562457,43596702,43662847,43731944,43841161,44124064,44246738,44436504,44496391,44498740,44556945,44641327,44764341,44833567,44838720,44908268,44942390,45018785,45078117,45133388,45435602,45684391,45970278,46173962,46466527,46468298,46916887,47212836,47434985,47527408,47746257,47824844,47827968,47890602,48139591,48254721,48301428,48351991,48395241,48494828,48655545,48657458,48895807,48940844,49198437,49235762,49327134,49375860,49386991,49639572,49667978,49991067,50065087,50150841,50385458,50443560,50497868,50596710,50602025,50836207,50922613,51099338,51210967,51241682,51382545,51395647,51525938,51759607,51899248,52163493,52667584,52713892,52900600,52976767,53398488,53468334,53664425,53775358,53806464,53923244,53930868,53969824,54022542,54197642,54336818,54351391,54372104,54442327,54533369,54562567,54711247,54808048,54945391,55032007,55231591,55510591,55582922,55647391,56176591,56192213,56253487,56554028,56554591,56749005,56751185,56797591,56921982,56953802,56963407,56986807,57194167,57501700,57739567,57890024,57904591,57945127,57946385,58005391,58143487,58188908,58296991,58386654,58445138,58445887,58536607,58539201,58572391,58695367,58797967,59227591,59251032,59257327,59301391,59484847,59513175,59706391,59973007,59994391,60033068,60052178,60073299,60116647,60173887,60263527,60456127,60465644,60477665,60532272,60577807,60678391,60689407,60693992,60703087,60715658,60716052,60722430,60732247,60754207,60762487,60766591,60980042,61113548,61168617,61171985,61393544,61659054,61733301,62031818,62083244,62155041,62247345,62421297,62630230,62684498,63480720,63600585,63976814,64228844,64285557,64312550,64397310,64483017,64755141,64770592,65126277,65750217,66067385,66397168,66467948,66650762,66657411,66841841,67334465,67712768,67798581,67840624,67900682,68058668,68098806,68101422,68280741,68331094,68357384,68375948,68690464,69002040,69013298,69067737,69115148,69258962,69535662,69689525,69793865,70103908,70350585,70590561,70599818,70725545,70818693,70962482,71415810,71444018,71697345,71926197,72281162,72573198,72637778,72746590,72866916,72933913,73347122,73406382,73492025,73602176,73886984,74049185,74192734,74634122,74661068,74696814,74982098,75040624,75102657,75156276,75305560,75559178,75756233,76176864,76246922,76320702,76352933,76475018,76477168,76530425,76821940,76872741,76902057,77042738,77175060,77276772,77324264,77627295,77760428,77787665,78038241,78479468,78724298,78946058,79280862,79288664,79607882,80274590,80786981,80801358,80809701,80932844,81131978,81347402,81441644,82025398,82320064,82490577,82780550,82802448,83122857,83469962,83569868,83627430,83752638,83769585,84420702,84606837,84718755,84870654,84921482,85331018,85433042,85514984,85550217,85626425,85698972,86036814,86042162,86085068,86101561,86503137,86846258,86946122,86989797,87295908,87388550,87484844,87654545,87914481,88190430,88226792,88426802,88480844,88859022,89106698,89199747,89202592,89354224,89407925,89646297,90088985,90308697,90350642,90366672,90438585,90562028,90806757,90921957,91004452,91010378,91034801,91407449,91603592,91836510,92186328,92334668,92610072,92724665,92765522,92825228,93152754,93345198,94069792,94073217,94114442,94203218,94539545,94876844,94995722,95079838,96059193,96151573,96158885,96202025,96204357,96229588,96329508,96467824,96487265,96545738,96715082,96720908,97300844,97636178,97645544,97958944,97980441,98745644,98981864,99025418,99255141,99336660,99734901,99902162,...,52978482543603458681637047722002280063257235867260008386236527205988173163234021033408651581509336461544932227186961680414813728102555419960217336659730773641433788754219238771288220497232637878528079209770357725438506865314996258078602075012867179390055909596701512015451802512464470121493700731356220050510171473948504733375716611894173445526206205338930805121260258388946757404899444572723690658118606203753408590503143576554062504951979244390341733777751769077584118882958766189852283583735610210602063282882911341443401695027336150276892637139270458285258838162540329963719444455149073457610076356558801191105016024046012987297360458396625333108554624799827269599747647888766795470141375311644111174945096086459782506917099343645796813108555925394514312866682362953143676719356258281138336036410446052663036509110408381630877387676551735787321634621994604653733630544990011609346388721739616269097662901846249366716663417402774954025304622881360381755973517652317941599059311590743852355426459308657671108468001072990912433997410924400540802518492955943971056253486086389244259849354004909836433280221815447509058289783847660674443950750852392803515783582381095555836564911500496520549968403927720407026546071466635352714429219819812853556232592109725364188504738625949669645268689592719997934205116099220483393258282616124708849355440266200498799342767926951785694916354273710561724235811093163450683604911230793624880343085409096629462250903211044807099766781758092243080622167897268260172683370801911294008042967069022905080476807496580799869955003813303610036894332407064846912133451595114212610727012187002201115568780153442744323315603301260747147866080037282628005309415402007822289311005114756187726456182432823519415775429226585657528275617821402706506656430143380871546614670154771225621944481020096321463900158351485156167468865106659750590374461903107457150829386794016919572343850354387508221599303707021365035890903414575153975619565190192968470914991123733879850567171028772376962397594554412229102627716213770775141616940581313602855707590803573619762984281845474672178570264726010711235681342502623791986938938132110209691607946767097138248207320056590171222568240541959805546719286840797971620587828581135165880368546961287045271052135540300833314876290349343808593564088524952302532233284771528065403271494967490083014294075988244065468047593460259162042981916637049530947875393486206506753571695177552258122767072116581115714217982034336641553058339513284}
15593  3728198206955131633797295015257463157602592314868538483057035184: {327243,389575,467490,498656,545335,560988,654402,779050,934860,997184,1121832,1262061,1446987,1479055,1774866,1852711,2226367,2256055,2646730,2707266,2876935,3176076,3452322,3652135,3676107,3767698,3936427,4382562,4496551,4508463,4735735,5302891,5667116,5682882,5862727,6412651,6443067,6795787,6993867,7008991,7543803,7686146,8095880,9107865,9160930,9188427,9355682,9590504,9654631,9715056,9817735,9921538,10019996,10365847,10553007,10583935,10698103,10789317,10929438,10993116,11097327,11502055,11781282,12114091,12160882,12239143,12454347,12700722,12725103,12844425,12995643,13007324,13365260,13498268,13700720,13754156,13792330,13802466,13865611,14314280,14345103,14950442,15152187,15160135,15167647,15356203,15413310,15852242,15957327,16020501,16038312,16103565,16222735,16440864,16550796,16660471,16721263,17027823,17177136,17434735,17484490,17586055,17841068,18043101,18094863,18104482,18192162,18307298,18342055,18495972,18552127,18665143,19072025,19283240,19324278,19467282,19700335,20604055,20812471,20921682,20981388,21048427,21103266,21506335,21522943,21693645,21860623,22010466,22264891,22455644,22591227,22646060,22721023,22886430,23139888,23276264,23612347,23640402,23755735,23840407,24204535,24405451,24412192,24724866,24812146,25254824,25300748,25487240,25807602,25987503,26019463,26032374,26073991,26185797,26443135,26664490,27020162,27093223,27175272,27245750,27284043,27463716,27503983,27576871,28297522,28411677,28506882,28660351,28673145,28832763,29045442,29283922,29562055,29604207,29692687,30110671,30449935,30572181,30584688,30663391,30835868,31040205,31444411,31731762,31900087,31997388,32336491,32694900,32760428,32924667,33109552,33194767,33252055,33461623,33673387,33823425,33829951,33881911,33908546,33987055,34192047,34252364,34407774,34520263,34574335,34864930,34874560,35307535,35317663,35474466,35838127,35954498,35957307,35957431,36078320,36423442,36459723,36539922,36641323,36770935,36952625,37197992,37248246,37477567,37640743,37675627,37711983,37961787,38265451,38437627,38450962,38593063,38608556,38709903,38760727,38881941,38922500,39076591,39233880,39339487,39395530,39395863,39442065,39902466,39952443,40183784,40588110,40784466,41189583,41489202,41586482,41837916,41847741,41849472,41861335,42071536,42328891,42369042,42690007,42709423,42873535,43293984,43508671,43647663,44051240,44125122,44138115,44317867,44343150,45109003,45112143,45206757,45311167,45355467,45411842,45726428,46084136,46182007,46288025,46329055,46509986,46517707,46545202,46707000,46723677,47080656,47189335,47223596,47274636,47294283,47299360,47330478,47517583,47575591,47625787,47905135,47957042,48402730,48408391,48440780,48705732,48979407,49191055,49276447,49356002,49557645,49820800,49937583,50018527,50117047,50233602,50471623,50613202,50623087,50632927,50653771,50653947,50742236,50932831,51019202,51448242,51469135,51843567,51844653,52020391,52178935,52242091,52545375,52571167,52746055,52861488,52965738,53087863,53107243,53134282,53211780,53454055,53719351,53735727,53772490,54664930,54944623,55155080,55201723,55545630,55594866,55614063,55623425,55656343,55687327,55796546,55824907,55887247,56048400,56135335,56268946,56416735,56627202,56627362,56674268,56759232,57428971,57486162,57556111,58083276,58097522,58128936,58228183,58479487,59016045,59029266,59169247,59231791,59248672,59360546,59401162,59409260,59469174,59685788,59781055,59784960,59812711,59841823,60104156,60376785,60566402,60618535,60649138,61141051,61176055,61291471,61293704,61394763,61719825,61732567,61762962,62049465,62614722,62762043,62898823,62950448,63054450,63122335,63295266,63364747,63661676,63770624,63854136,63982591,64033387,64144866,64339628,64357922,64401904,64526988,64567183,64651111,64735207,64874060,65010847,65395053,65597916,65660546,65769512,65834480,65892365,66125750,66186096,66370107,66590527,66654756,66669922,66748110,66867788,66917522,66928711,66961591,67258080,67349962,67362402,67404055,67413585,67462280,67493527,67658731,67700082,67965130,68153403,68258503,68263327,68464423,68465746,68510060,68716063,68783122,68955417,69014767,69260943,69377581,69551324,69655063,69702447,69876703,69935402,69998911,70210591,70692535,70819254,71053243,71192647,71197984,71291112,71528887,71737266,71741952,71835903,71859682,71877125,71907824,72030056,72042991,72154687,72362530,72452142,72736135,72742242,72800527,72882367,72986187,73411266,73772347,73853643,73990701,74063790,74459358,74501967,74537227,74759563,74825611,75041335,75578187,75582055,75663547,75665340,75746802,75867490,75895065,75895976,76099042,76391935,76649007,76678591,76741930,76862523,77198443,77216647,77288907,77604055,77642731,77848872,77888491,78052268,78184946,79001376,79070838,79350900,79392463,79688911,79871626,80097732,80153143,80202501,80286055,80663037,80709696,80745367,80884866,80896302,80954736,80963240,81033813,81214423,81296463,81505227,81506491,81558156,82212072,82230751,82311068,82581967,82644967,82790587,82873388,82996460,83084935,83228396,83374383,83840047,84274507,84393727,84409346,84640960,84646738,84800780,84831042,84879847,84968647,85073335,85151047,85360267,85382973,85430703,85439851,85446730,85469935,85714076,85863080,85878523,85977356,86252550,86314591,86340188,86393935,86609131,86619787,86835036,87173983,87283362,87579981,87629885,87666956,87667707,87838687,88319647,88436587,88876548,88941643,90049602,90078267,90189067,90341791,90398108,90515143,90570538,90588682,90698466,90797983,90798408,90801896,90982027,91040988,91073487,91074078,91083645,91266091,91387946,91470063,91670322,92002720,92090316,92358730,92392303,92488581,92592043,92714216,92869351,93047727,93124866,93326335,93800780,93945345,93966367,94026747,94033927,94120748,94131950,94424924,94578418,95221080,95314471,95347591,95358667,95596460,95901596,95965221,96027425,96343266,96468825,96595965,96655330,96764264,97041931,97155888,97200535,97390651,97616743,97875176,98014322,98099335,98466583,98540002,98588503,98674207,98722987,98812807,98921623,99110830,99503083,99595752,99701922,99897202,99976143,...,79467723815405188022455571583003420094885853800890012579354790808982259744851031550112977372264004692317398340780442520622220592153833129940326004989596160462150683131328858156932330745848956817792118814655536588157760297972494387117903112519300769085083864395052268023177703768696705182240551097034330075765257210922757100063574917841260168289309308008396207681890387583420136107349166859085535987177909305630112885754715364831093757427968866585512600666627653616376178324438149284778425375603415315903094924324367012165102542541004225415338955708905687427888257243810494945579166682723610186415114534838201786657524036069019480946040687594937999662831937199740904399621471833150193205212062967466166762417644129689673760375649015468695219662833888091771469300023544429715515079034387421707504054615669078994554763665612572446316081514827603680982451932991906980600445817485017414019583082609424403646494352769374050074995126104162431037956934322040572633960276478476912398588967386115778533139688962986506662702001609486368650996116386600811203777739433915956584380229129583866389774031007364754649920332723171263587434675771491011665926126278589205273675373571643333754847367250744780824952605891580610539819107199953029071643829729719280334348888164588046282757107938924504467903034389079996901307674148830725089887423924187063274033160399300748199014151890427678542374531410565842586353716639745176025407366846190437320514628113644944193376354816567210649650172637138364620933251845902390259025056202866941012064450603534357620715211244871199804932505719955415055341498610597270368200177392671318916090518280503301673353170230164116484973404951891120721799120055923942007964123103011733433966507672134281589684273649235279123663143839878486292413426732104059759984645215071307319922005232156838432916721530144482195850237527227734251203297659989625885561692854661185726244080191025379358515775531581262332398955560532047553836355121862730963429347785289452706372486685600819775850756543158565443596391831618343653941574320656162712425410871970404283561386205360429644476422768212008267855397089016066853522013753935687980408407198165314537411920150645707372310980084885256833852360812939708320078930261196957430881742871702748820552820441930567906578203310451249972314435524015712890346132787428453798349927157292098104907242451235124521441113982366098202071390190388743064472874955574296421813090229309760130357542766328387184150608174871673571326973051504962329587509269926}
15594  3744734757905787696498607831528569926767357342169983981746206484: {171413,202553,342782,436324,623320,668693,701235,716174,747984,823673,841482,872536,981603,1040309,1168575,1246480,1275182,1287413,1402290,1495776,1503209,1564793,1682748,1929316,1964309,2331893,2366488,2576309,2662299,2789753,2972393,3245813,3579113,3609688,3970095,4032053,4050782,4060899,4234768,4302953,4602014,4603096,4693109,4764114,4842809,4901476,5052053,5178483,5380073,5517854,5588309,5651547,5843416,5883182,6011284,6092393,6387833,6564713,6573843,6917609,7005653,7083895,7157294,7357109,7577176,7590773,7853033,8063054,8143673,8391691,8462453,8500674,8524323,8590756,8664809,8965214,9325156,9613493,9670709,10058404,10119850,10808309,10937294,11034293,11147093,11456633,11529219,11793209,11988130,11989013,12143820,12156533,12212309,12251236,12524995,12574073,12629609,12712853,12714974,12906809,12953408,12962153,13068782,13376213,13422014,13733609,13741395,13788473,13950782,14033523,14070676,14144309,14385756,14572584,14657488,14796436,14829182,14882307,15014453,15029994,15041513,15284693,15354494,15419513,15708376,15822773,16259155,16394157,16489674,16605796,16706575,16783253,16872835,16889333,16934296,16966804,17101109,17125900,17180393,17192695,17327524,17671923,17892850,18241323,18403288,18465173,18595193,19051083,19126804,19167182,19510334,19510986,19525433,20047890,20202916,20247402,20366731,20521493,20551080,20631234,20688495,20703699,20877182,20977109,21276436,21279413,21360668,21384416,21430133,21471420,21680693,21921152,22067728,22097971,22179413,22301335,22353209,22425663,22572782,22703764,22724309,22902848,23119965,23167253,23534393,23778363,23875433,23918894,24057468,24104050,24126484,24253982,24256216,24263273,24474307,24661296,24673109,24755534,24826194,25200053,25675733,25699433,25765704,25956376,26030393,26101109,26171753,26226735,26761602,27153209,27156723,27222773,27288243,27384809,27460947,27500309,27743958,27895576,27901934,27975184,28069555,28120553,28137688,28307575,28393982,28689653,28757609,28825493,28924860,28938473,28970858,28986417,29095330,29200923,29347288,29612153,30024782,30121636,30212309,30366953,30511214,30515240,30543209,30853184,31382523,31416809,31472082,31520536,31568530,31625935,31654899,31784213,31848809,31859050,31913333,31962734,32170709,32384309,32448233,32548243,32966488,33015699,33062453,33272693,33335609,33683466,33690773,33711593,33969090,34002233,34038782,34329645,34410136,34517333,34578809,34640213,34650004,34681109,34709832,34914396,35146574,35160811,35230073,35351273,35460603,35853173,36191609,36233696,36330293,36378724,36618288,36783209,36812594,36873134,37087299,37218219,37328873,37367609,37882236,37887413,37951122,38009176,38173673,38230860,38420309,38443684,38544835,38571413,38711403,38727256,38928233,39048561,39077609,39472276,39485753,39688373,39816809,39853433,39996735,40127093,40308533,40323619,40530243,40579694,40686953,40732334,40762908,40779584,40848053,40868625,40950535,40955093,41195574,41380373,41386940,41418058,41748713,42252067,42309016,42446283,42552782,42663184,42760323,42815455,42815609,43035413,43237109,43287353,43370933,43568163,43593200,43754894,43769333,43899556,43925883,43933973,43983209,44228309,44352494,44503913,44552309,44678023,44761193,45097900,45222293,45316853,45426809,45589396,45738809,45877032,46253802,46383593,46429109,46497490,47058773,47206613,47299288,47324309,47452094,47543609,47597643,47861993,47933813,47943076,47996082,48035294,48148073,48162293,48260695,48374633,48445013,48612964,48653125,48719896,48821609,49042350,49140642,49233209,49395833,49409333,49664328,49677653,49797353,49914782,49969109,50074133,50229730,50230709,50282644,50360309,50514773,50615716,50706233,50807609,50862819,50933609,51145973,51220373,51343982,51378546,51405113,51611661,51613204,51842588,51888953,52053182,52173113,52231733,52297395,52311840,52335854,52417973,52579253,52589420,52613609,52647893,52784309,52897109,52930793,53203288,53211699,53269924,53416553,53557109,53631991,53740574,53876309,53880254,53931747,54117480,54239609,54361913,54379288,54422633,54462953,54635163,54672533,54790709,54809883,54810293,54919444,55064050,55081642,55109753,55128809,55195253,55251893,55269134,55318936,55438613,55521593,55530773,55640309,55775609,55783888,55796988,55799296,55872369,55958174,56196473,56351666,56366393,56441813,56492056,56549609,56574293,56737013,56769173,56833109,56856953,56912309,57006293,57045113,57158035,57183209,57325454,57495353,57548323,57589109,57597182,57605170,57676443,57716693,57725312,57730709,57821033,57912834,57984233,58017653,58024313,58123253,58155833,58196884,58233209,58252373,58294291,58296809,58383750,58421609,58464533,58555193,58585013,58602809,58661609,58708073,58748309,58765433,58833496,58850820,58899833,59029495,59087573,59093295,59124200,59240693,59245673,59314553,59484473,59502713,59591993,59661113,59724053,59781173,59853699,59863913,59879273,59909609,59920853,60018809,60070709,60104309,60110933,60149524,60153209,60178553,60245609,60275676,60344309,60375893,60445109,60473956,60529013,60543209,60550975,60553109,60566633,60576053,60594293,60660713,60690809,60709109,60727673,60744809,60747413,60769493,60781109,60786809,60788309,60790073,60791273,60882165,61176699,61866494,62233803,62259182,62276000,62298236,62379723,62756874,62774208,62919346,63026299,63032848,63059044,63107304,63427795,63553563,64203182,64448527,64940976,65305876,66076860,66187683,66367214,66408979,66493214,66514725,66583444,66978136,67371182,67538596,67745294,68117763,68242094,68589642,68597656,68943850,69124756,69126204,69474014,69596414,69764979,69817803,70060500,70481984,70620984,70835394,70842835,70911954,70949040,70995717,71503498,71647636,71655182,71935563,72604095,72661170,73058598,73201454,73672334,74034003,74060840,74126488,74152084,74261575,74374334,74607235,74705587,74731200,75130195,75350403,75502936,75608962,75678976,75919803,75992174,76113354,76528803,76617130,76648216,77172363,77243534,77444368,77505248,77806574,78688060,78705688,78994903,79143182,79292232,79448607,79451659,79577095,79701423,79713280,79817670,80424535,80502380,80658735,81092575,81124939,81539774,81647054,81859684,81997395,82211890,82293100,82350616,82711934,82732620,83318445,83392299,83486296,83584735,83682724,83694819,83762414,84072600,84327850,84393688,84403419,84489182,84668731,84940803,84941043,85011402,85138848,85335631,85526488,85637575,85640779,86022782,86035984,86229243,86727374,86939155,87124914,87146283,87193404,87325694,87463888,87682322,88248128,88493476,88543899,88873008,88992782,88997480,89040819,89101743,89113890,89203761,89282654,89528682,89667134,89677440,89816536,89884780,90037570,90156234,90266776,90849603,90871204,90973707,91368782,91940556,92347924,92494339,92644443,92933054,92936596,93833774,93922083,94268251,94425672,94581675,94869970,94942899,95054816,95475523,95492514,95649688,95655936,95781204,96217299,96279182,96509442,96536883,96602856,96703982,96790482,96989656,97311090,97314916,97565335,97711411,97791614,97881688,98396874,98471524,98490819,98654268,98751720,98773982,99015763,99188625,99279144,99335956,99982134,...,119201585723107782033683357374505130142328780701335018869032186213473389617276547325169466058396007038476097511170663780933330888230749694910489007484394240693226024696993287235398496118773435226688178221983304882236640446958741580676854668778951153627625796592578402034766555653045057773360826645551495113647885816384135650095362376761890252433963962012594311522835581375130204161023750288628303980766863958445169328632073047246640636141953299878268900999941480424564267486657223927167638063405122973854642386486550518247653813811506338123008433563358531141832385865715742418368750024085415279622671802257302679986286054103529221419061031392406999494247905799611356599432207749725289807818094451199250143626466194534510640563473523203042829494250832137657203950035316644573272618551581132561256081923503618491832145498418858669474122272241405521473677899487860470900668726227526121029374623914136605469741529154061075112492689156243646556935401483060858950940414717715368597883451079173667799709533444479759994053002414229552976494174579901216805666609150873934876570343694375799584661046511047131974880499084756895381152013657236517498889189417883807910513060357465000632271050876117171237428908837370915809728660799929543607465744594578920501523332246882069424135661908386756701854551583619995351961511223246087634831135886280594911049740598951122298521227835641517813561797115848763879530574959617764038111050269285655980771942170467416290064532224850815974475258955707546931399877768853585388537584304300411518096675905301536431072816867306799707398758579933122583012247915895905552300266089006978374135777420754952510029755345246174727460107427836681082698680083885913011946184654517600150949761508201422384526410473852918685494715759817729438620140098156089639976967822606960979883007848235257649375082295216723293775356290841601376804946489984438828342539281991778589366120286538069037773663297371893498598433340798071330754532682794096445144021677934179059558730028401229663776134814737848165394587747427515480912361480984244068638116307955606425342079308040644466714634152318012401783095633524100280283020630903531970612610797247971806117880225968561058466470127327885250778541219409562480118395391795436146322614307554123230829230662895851859867304965676874958471653286023569335519199181142680697524890735938147157360863676852686782161670973549147303107085285583114596709312433361444632719635343964640195536314149492580776225912262307510356990459577257443494381263904889}
15595  3761344078553977227342664404606266845293076369230682098356738637: {514173,545405,654486,763469,779150,934980,997312,1074261,1090670,1121976,1262223,1308804,1558100,1869720,1912773,1994368,2070677,2103435,2243664,2411645,2524122,2631161,2893974,2958110,3158477,3549732,3705422,4027709,4452734,4512110,4652141,5025557,5112989,5293460,5414532,5753870,6076173,6126845,6267053,6352152,6630029,6903021,6904644,7146171,7304270,7350893,7352214,7514105,7535396,7872854,8276781,8283353,8765124,8824773,8993102,9016926,9471470,9775289,10605782,10735941,10738445,11080733,11334232,11365764,11656445,11725454,12094581,12455333,12573005,12751011,12825302,12886134,13447821,13591574,13744829,13987734,14017982,14316653,14817509,15087606,15179775,15314045,15372292,16102877,16191760,16405941,17588345,17667029,17809469,17925401,17982195,18215730,18321860,18376854,18495545,18711364,19072461,19181008,19309262,19430112,19603173,19635470,19843076,20039992,20133021,20731694,20757245,20926173,21106014,21167870,21208505,21224189,21396206,21407375,21578634,21659405,21761933,21858876,21925241,21986232,22194654,22243773,22544991,22711829,23004110,23031741,23260997,23562564,23908505,24228182,24321764,24408629,24432461,24478286,24620477,24734511,24908694,25253645,25401444,25450206,25484573,25678877,25688850,25991286,26014648,26313053,26595545,26642429,26700835,26730520,26839275,26973629,26996536,27345893,27401440,27508312,27580469,27584660,27604932,27731222,27905501,28150781,28379705,28628560,28690206,28750773,28845677,29265501,29266479,29900884,30071835,30108869,30158105,30280661,30304374,30320270,30335294,30371103,30712406,30826620,30946851,31315773,31704484,31914654,32032157,32041002,32076624,32187269,32207130,32445470,32675093,32798681,32881728,33101592,33258029,33320942,33358709,33442526,33859173,33886349,34055646,34100093,34354272,34869470,34968980,34976729,35172110,35680733,35682136,35878341,36086202,36156075,36189726,36208964,36238553,36380973,36384324,36482357,36614596,36684110,36991944,37020389,37104254,37133301,37239291,37330286,37652045,37680533,38144050,38215853,38566480,38648556,38747993,38934564,39305741,39400670,39601109,39795821,40142403,40187717,41208110,41386877,41615937,41624942,41843364,41852901,41962776,42096854,42206532,42590973,42629909,43012670,43045886,43312505,43387290,43456287,43642995,43673837,43721246,44020932,44525741,44529782,44911288,45037173,45182454,45292120,45442046,45473405,45648053,45766821,45772860,46279776,46492121,46509269,46552528,46552877,46640429,47208123,47224694,47280804,47352795,47511470,47581877,47680814,47734061,47788575,47944101,48054605,48404069,48409070,48810902,48824384,49340345,49366973,49430549,49449732,49624292,50025053,50509648,50525199,50601496,50953635,50974480,51058173,51479309,51590429,51615204,51733675,51975006,52038926,52064748,52147982,52371594,52375661,52561781,52578053,52719861,52886270,53328980,53549561,54040324,54124853,54186446,54350544,54491500,54568086,54874445,54927432,55007966,55153742,55218891,55309701,55489529,56285021,56372375,56409461,56595044,56823354,56861837,56926683,56986745,57013764,57320702,57346290,57575033,57665526,58090884,58140437,58235801,58567844,58605869,59124110,59208414,59385374,59753657,59928845,60022949,60221342,60766205,60869541,60899870,61098501,61144362,61169376,61170509,61326782,61431029,61671736,61740653,61793361,62080410,62127087,62129561,62186237,62853305,62888822,63213629,63269645,63463524,63800174,63829173,63994776,64072733,64516505,64672982,64803235,64860677,65249573,65389800,65518469,65520856,65632341,65736775,65849334,66065069,66200237,66219104,66321629,66389534,66504110,66528741,66587405,66923246,67067189,67103693,67346774,67646850,67659902,67763822,67817092,67974110,68384094,68504728,68649305,68815548,68847833,68867477,69040526,69112121,69148670,69380703,69404429,69729860,69746235,69749120,70362221,70441109,70519349,70615070,70635326,70948932,71178141,71676254,71908996,71914614,71914862,71994123,72052941,72056789,72148253,72156640,72381341,72746105,72846884,72919446,73050509,73079844,73282646,73541870,73563525,73710963,73844477,73905250,74395984,74496492,74546933,74774669,74802677,74835677,74872173,74955134,75018101,75186905,75281486,75344595,75351254,75423966,75592445,75675821,75923574,76519061,76530902,76831001,76875254,76901924,77011253,77015973,77067819,77186126,77217112,77419806,77521454,77763882,77821253,77845000,77872795,78079773,78153182,78228413,78234077,78467760,78503781,78589469,78678974,78725021,78791060,78791726,78823805,78884130,78983429,79093997,79699349,79804932,79904886,80082533,80328389,80367568,80518637,80610861,80674841,80820381,81176220,81568932,81632345,82379166,82541933,82596075,82622463,82903701,82976153,82978404,83172964,83229305,83675832,83693477,83695482,83698944,83722670,83937261,84143072,84281501,84423245,84527499,84657782,84738084,84865949,84979733,85273721,85380014,85418846,85646477,85747070,85988181,86042681,86314013,86395773,86405945,86407755,86587968,86645933,86869251,87017342,87185501,87295326,87315689,87575625,88102480,88250244,88276230,88357397,88371269,88635734,88686300,89059781,89064077,89464409,89559545,90218006,90224286,90413514,90620153,90622334,90710934,90769061,90823684,91023533,91452856,91904957,92062757,92123501,92168272,92249311,92364014,92576050,92658110,92690105,92799741,93019972,93035414,93090404,93388773,93414000,93447354,93544901,94135311,94161312,94296653,94365677,94378670,94379019,94447192,94549272,94588566,94598720,94660956,95035166,95100989,95151182,95251574,95810270,95914084,96304773,96325853,96805460,96816782,96881560,97411464,97843421,97927157,97958814,98360075,98382110,98552894,98712004,98969549,99052613,99115290,99211037,99516101,99550821,99641600,99738041,99739821,99875166,99998693,...,158935447630810376044911143166006840189771707601780025158709581617964519489702063100225954744528009384634796681560885041244441184307666259880652009979192320924301366262657716313864661491697913635584237629311073176315520595944988774235806225038601538170167728790104536046355407537393410364481102194068660151530514421845514200127149835682520336578618616016792415363780775166840272214698333718171071974355818611260225771509430729662187514855937733171025201333255307232752356648876298569556850751206830631806189848648734024330205085082008450830677911417811374855776514487620989891158333365447220372830229069676403573315048072138038961892081375189875999325663874399481808799242943666300386410424125934932333524835288259379347520751298030937390439325667776183542938600047088859431030158068774843415008109231338157989109527331225144892632163029655207361964903865983813961200891634970034828039166165218848807292988705538748100149990252208324862075913868644081145267920552956953824797177934772231557066279377925973013325404003218972737301992232773201622407555478867831913168760458259167732779548062014729509299840665446342527174869351542982023331852252557178410547350747143286667509694734501489561649905211783161221079638214399906058143287659459438560668697776329176092565514215877849008935806068778159993802615348297661450179774847848374126548066320798601496398028303780855357084749062821131685172707433279490352050814733692380874641029256227289888386752709633134421299300345274276729241866503691804780518050112405733882024128901207068715241430422489742399609865011439910830110682997221194540736400354785342637832181036561006603346706340460328232969946809903782241443598240111847884015928246206023466867933015344268563179368547298470558247326287679756972584826853464208119519969290430142614639844010464313676865833443060288964391700475054455468502406595319979251771123385709322371452488160382050758717031551063162524664797911121064095107672710243725461926858695570578905412744973371201639551701513086317130887192783663236687307883148641312325424850821743940808567122772410720859288952845536424016535710794178032133707044027507871375960816814396330629074823840301291414744621960169770513667704721625879416640157860522393914861763485743405497641105640883861135813156406620902499944628871048031425780692265574856907596699854314584196209814484902470249042882227964732196404142780380777486128945749911148592843626180458619520260715085532656774368301216349743347142653946103009924659175018539852}
15596  3778026486595985286419436798070920627075999614696289662287289631: {202579,342826,405106,575683,685564,872648,981729,1168725,1246640,1337386,1402470,1432348,1495968,1595779,1636005,1647346,1682964,1745072,1947625,1963206,2080618,2337150,2423923,2492960,2550364,2574826,2804580,2991552,3006418,3129586,3365496,3428179,3786183,3858632,3928618,4243363,4333579,4340961,4437165,4663786,4693723,4732976,5142283,5152618,5324598,5558133,5579506,5767243,5944786,6034003,6211483,6491626,6616825,6679101,6768165,6918523,7158226,7219376,7883179,7940190,8064106,8101564,8121798,8469536,8605906,8630805,9184579,9204028,9206192,9386218,9419245,9528228,9685618,9802952,9917453,10043179,10104106,10356966,10554883,10760146,10809763,10956405,11028321,11035708,11176618,11303094,11401963,11686832,11766364,11809281,12022568,12184786,12241843,12659083,12775666,12991579,13129426,13147686,13489653,13525389,13835218,14011306,14146243,14167790,14207205,14314588,14714218,15043579,15124723,15154352,15181546,15448579,15706066,15851779,15908673,16126108,16173043,16287346,16783382,16924906,17001348,17048646,17181512,17329618,17534993,17588181,17919403,17930428,18623779,18650312,19215365,19226986,19237953,19329201,19341418,19861603,20116808,20168179,20239700,20387361,20473603,20549779,20981601,21005323,21026973,21616618,21874588,21983443,22068586,22294186,22356403,22631409,22762817,22902325,22913266,23058438,23170579,23389205,23537779,23586418,23621969,23903179,23976260,23978026,24069773,24287640,24313066,24424618,24502472,24700723,24803845,25049990,25148146,25259218,25425706,25429948,25632043,25703179,25813618,25906816,25924306,26137564,26752426,26844028,27180403,27323595,27467218,27482790,27527443,27565281,27576946,27901564,28067046,28141352,28147579,28288618,28771512,28924181,28963893,29145168,29235643,29314976,29453205,29592872,29658364,29764614,30028906,30059988,30083026,30238963,30402205,30437683,30569386,30708988,30839026,31095403,31097541,31221869,31416752,31421563,31645546,31659021,31751805,32068483,32094309,32367951,32518310,32771779,32788314,32979348,33211592,33291981,33413150,33566506,33716779,33745670,33778666,33868592,33933608,33966043,34202218,34251800,34360786,34385390,34480825,34506165,34584163,34655048,34706923,34890523,35343846,35497843,35785700,35798803,36157579,36342273,36395323,36482646,36717429,36806576,36930346,37190386,37363041,37376105,37969963,38102166,38175309,38253608,38255803,38334364,38533275,38539843,38822083,38986929,39020668,39021972,39050866,39297377,39325579,39547483,39630605,39823243,40095780,40151779,40405832,40494804,40639723,40733462,40747363,40961779,41042986,41102160,41262468,41376990,41407398,41596833,41754364,41755579,41954218,42327403,42552872,42558826,42721336,42737803,42768832,42839683,42860266,42942840,43035309,43278433,43361386,43494883,43544779,43711225,43793179,43842304,44088883,44135456,44195942,44276309,44284579,44358826,44575963,44602670,44706418,44851326,45145564,45245779,45261205,45407528,45434563,45448618,45456561,45480405,45502941,45668923,45762163,45768245,45805696,46068609,46239930,46334506,46406779,47068786,47081779,47126203,47347243,47522779,47556726,47566483,47750866,47837788,47871981,48061503,48114936,48170779,48208100,48252968,48310695,48507964,48512432,48526546,48551803,48668205,48844123,48948614,48968323,49322592,49346218,49418179,49436629,49511068,49579603,49652388,49819579,49934261,49981413,50017579,50163789,50252803,50400106,50600779,50829523,50942923,51083469,51351466,51390043,51398866,51531408,51573283,51912752,52060786,52202218,52304205,52343506,52453470,52462483,52600579,52737523,52758165,52805563,52974403,53523204,53631763,53886643,53962769,54043603,54129303,54198763,54284589,54306418,54313446,54445546,54576486,54683179,54769618,54921894,55000618,55026165,55149163,55234483,55487916,55541779,55651363,55656381,55786723,55791152,55803868,55950368,55995429,56078179,56139110,56182003,56241106,56275376,56360923,56561083,56615150,56732443,56787964,56923963,57041323,57216075,57330749,57379306,57404779,57515218,57650986,57849720,57876946,57941716,57972834,58036579,58135579,58190660,58252003,58401846,58403203,58495363,58694576,58846003,59042563,59101005,59198443,59224306,59243803,59258779,59543179,59609779,59622883,59674579,59798779,59941637,59971579,60014923,60049564,60088003,60118243,60167203,60243272,60259723,60277363,60361243,60423163,60424618,60459523,60473563,60500779,60569683,60592579,60663643,60724123,60733906,60740683,60770779,60792163,60802243,60803179,61022428,61030480,61086418,61706368,61812165,62030365,62437413,62765046,62833618,62944164,63041072,63137060,63145281,63251870,63309798,63568426,63697618,63718100,63826666,63925468,64341418,64519005,64568829,64768618,64896466,65080935,65096486,65581869,65932976,66031398,66124906,66545386,66661225,66671218,66794673,67366932,67381546,67423186,67550405,67564973,67773681,67938180,68004466,68077564,68114375,68163069,68659290,68820272,68893253,69034666,69157618,69280426,69300008,69362218,69419664,69828792,70293148,70321622,70460146,70702546,70743805,70837041,70921206,71267205,71521221,71706346,72383218,72467392,72613605,72660586,72757448,73209805,73216353,73236576,73566418,73625188,73746268,74174598,74436438,74657746,74735218,75764472,75774826,75902244,76018352,76166441,76347346,76461720,76840618,76887368,77089670,77142826,77422806,77454512,77856466,77962509,78058389,78097122,78155218,78221973,78557391,78944552,78971506,79329405,79376746,79633618,79706866,79993470,80021249,80254186,80617066,80647238,81060486,81159388,81279669,81373906,81464668,81525816,81559168,81696106,81737250,81852129,81901070,81910186,82391148,82511949,82641293,82730613,82760746,82773880,82836116,83497426,84504134,84618032,84771365,84892566,85105564,85235031,85326368,85520646,85630910,85631218,85981053,86019435,86070826,86474218,86498289,86574706,86741866,87136326,87162325,87186400,87509788,87538666,87799112,87851766,87867946,87966418,88288421,88302049,88456618,88686165,88704988,88798913,88812621,89007826,89078061,89104618,89356046,89522386,89886245,90195800,90332013,90444586,90633706,90853618,91058605,91178792,91349805,91477618,91716543,91754064,91990173,92507604,92767186,92858218,92994980,93120615,94117546,94333233,94413226,94598576,94648618,94904188,95087218,95195286,95375117,95700261,95723986,95867626,95886152,95992164,96070588,96127405,96296146,96324586,96521390,96749266,96890026,97009473,97225928,97306250,97439792,97643218,98084700,98281284,98466418,98488825,98774001,98791666,98818666,99179969,99328656,99355306,99584301,99594706,99756165,99829564,99938218,...,238403171446215564067366714749010260284657561402670037738064372426946779234553094650338932116792014076952195022341327561866661776461499389820978014968788481386452049393986574470796992237546870453376356443966609764473280893917483161353709337557902307255251593185156804069533111306090115546721653291102990227295771632768271300190724753523780504867927924025188623045671162750260408322047500577256607961533727916890338657264146094493281272283906599756537801999882960849128534973314447854335276126810245947709284772973101036495307627623012676246016867126717062283664771731431484836737500048170830559245343604514605359972572108207058442838122062784813998988495811599222713198864415499450579615636188902398500287252932389069021281126947046406085658988501664275314407900070633289146545237103162265122512163847007236983664290996837717338948244544482811042947355798975720941801337452455052242058749247828273210939483058308122150224985378312487293113870802966121717901880829435430737195766902158347335599419066888959519988106004828459105952988349159802433611333218301747869753140687388751599169322093022094263949760998169513790762304027314473034997778378835767615821026120714930001264542101752234342474857817674741831619457321599859087214931489189157841003046664493764138848271323816773513403709103167239990703923022446492175269662271772561189822099481197902244597042455671283035627123594231697527759061149919235528076222100538571311961543884340934832580129064449701631948950517911415093862799755537707170777075168608600823036193351810603072862145633734613599414797517159866245166024495831791811104600532178013956748271554841509905020059510690492349454920214855673362165397360167771826023892369309035200301899523016402844769052820947705837370989431519635458877240280196312179279953935645213921959766015696470515298750164590433446587550712581683202753609892979968877656685078563983557178732240573076138075547326594743786997196866681596142661509065365588192890288043355868358119117460056802459327552269629475696330789175494855030961824722961968488137276232615911212850684158616081288933429268304636024803566191267048200560566041261807063941225221594495943612235760451937122116932940254655770501557082438819124960236790783590872292645228615108246461658461325791703719734609931353749916943306572047138671038398362285361395049781471876294314721727353705373564323341947098294606214170571166229193418624866722889265439270687929280391072628298985161552451824524615020713980919154514886988762527809778}
15597  3794782301104121048859838700518902751957186262435187855400632637: {514239,607659,763567,856955,1028346,1090810,1308972,1526938,1558300,1790435,1869960,1994624,2006079,2103705,2148522,2181340,2243952,2471019,2524446,2617608,2911403,2944809,3116200,3120927,3187955,3376303,3505725,3739440,3825546,3862239,3988736,4141354,4206870,4487328,4509627,4694379,4823290,5048244,5262322,5616799,5787948,5892927,5916220,6316954,6995679,7099464,7410844,7666643,7728927,7986897,8055418,8226479,8369259,8577583,8687419,8905468,8917179,9024220,9304282,9737439,10051114,10077023,10126955,10225978,10519747,10586920,10737339,10829064,10925323,11505035,11507740,11910285,12096159,12152346,12182697,12253690,12534106,12704304,12908859,13260058,13794635,13806042,13809288,13989827,14079327,14292342,14528427,14608540,14701786,14704428,14707955,14719939,15028210,15033823,15070792,15156159,15171563,15535449,15745708,16140219,16319023,16553562,16566706,16764927,16784687,16954641,17530248,17602207,17649546,17893235,17986204,18033852,18277179,18461603,18942940,19163499,19232939,19550578,19694139,19721529,19745503,20157635,20752827,21016959,21211564,21251685,21439663,21471882,21476890,21866267,22071327,22161466,22413035,22668464,22731528,22772319,23312890,23450908,23559099,24189162,24431019,24623683,24910666,25146010,25175073,25299625,25387359,25502022,25572969,25650604,25772268,25893763,25994427,26895642,27183148,27343235,27489658,27975468,28035964,28145387,28633306,28679839,28840479,29012127,29060143,29330939,29635018,29691907,29712107,29970325,30175212,30323167,30359550,30628090,30744584,31486507,31787435,31908323,32205754,32383520,32424927,32671955,32811882,33102879,33441279,33471907,33555035,34369899,34587657,34876955,35060659,35176690,35334058,35355103,35379627,35618938,35850802,35943779,35964390,35966747,35967039,36431460,36469599,36636927,36643720,36753708,36991090,37072955,37233763,37283263,37381169,37422728,37487243,37574985,37722219,37888827,38064287,38138559,38144922,38351423,38362016,38386235,38407147,38603027,38616019,38618524,38720427,38860224,38886459,39206346,39270940,39686152,39731587,40079984,40128639,40183139,40266042,40638139,40774399,41200827,41224185,41365419,41463388,41514490,41852346,42100569,42168139,42212028,42221347,42335740,42417010,42432927,42448378,42792412,42814750,43157268,43318810,43335083,43523866,43717752,43757507,43850482,43972464,44260063,44389308,44487546,44531539,44646921,44732125,45043359,45089982,45124539,45302843,45423658,45854079,46008220,46063482,46258539,46521994,46529759,46865243,47125128,47468319,47817010,47917955,47975483,48456364,48643528,48775835,48777465,48817258,48864922,48956572,49182471,49240954,49469022,49817388,50119725,50349759,50507290,50618505,50667999,50802888,50900412,50969146,51303327,51357754,51377700,51517667,51541179,51578085,51982572,52029296,52192955,52626106,52654619,52712863,53015769,53191090,53243003,53284858,53401670,53461040,53678550,53947258,53947699,53993072,54691786,54723969,54802880,55016624,55120507,55160938,55169320,55209864,55395519,55462444,55785579,55811002,56301562,56431955,56439083,56759410,57153249,57257120,57380412,57501546,57691354,58224899,58531002,58532958,58576299,59149739,59797235,59801768,60131423,60143670,60217738,60260125,60316210,60336767,60561322,60608748,60634955,60637507,60640540,60670588,60742206,60783343,60970507,61100193,61280579,61424812,61564479,61653240,61888835,61893702,62065485,62111097,62137699,62313883,62631546,62931327,63408968,63662767,63829308,63838239,64064314,64082004,64153248,64290399,64374538,64414260,64673363,64791263,64890940,65042079,65350186,65408843,65597362,65763456,66203184,66293913,66474943,66516058,66538239,66641884,66717418,66783499,66885052,66904005,67059627,67276447,67276989,67577519,67718346,67772698,68012939,68111292,68172927,68200186,68432479,68708544,69076483,69359895,69501759,69673187,69738940,69754835,69937960,69953458,70344220,70603179,70984955,71335089,71361466,71364272,71547419,71626299,71756682,72172404,72312150,72379452,72417928,72427145,72477106,72600307,72738325,72761946,72768648,72789819,72964714,73083323,73229192,73368220,73422921,73983888,74019327,74040778,74208508,74266602,74478582,74587043,74660572,74761643,75061955,75304090,75361066,75600159,76144547,76278035,76288100,76431706,76824223,77027199,77098299,77132960,77297112,77495986,77662847,77869128,78091179,78303327,78380107,78515259,78611482,78680205,78801340,78815743,78921325,79202218,79591642,79598783,79647625,79781443,79906835,80284806,80375434,80727203,81459627,81470169,81668319,81782143,81864729,82154427,82252307,82338379,82382841,82416220,82500927,82666379,82773754,83231874,83249884,83454239,83686728,83705802,83900383,83925552,84193708,84208665,84246847,84361659,84413064,84416123,84922725,85072687,85096955,85173203,85181946,85259818,86025340,86068959,86091772,86272827,86476479,86625010,86774580,86815419,86912574,86959251,87285990,87347674,87442492,87602769,87866435,87994627,88041864,88577503,88836459,89051482,89059564,89075743,89822576,89859467,90074346,90323107,90364908,90584240,90636927,90724529,90884092,90946810,91005599,91013299,91100859,91296106,91352563,91377227,91533642,91545720,91629627,91976659,92031485,92182835,92559552,92984242,93018538,93105056,93105754,93222367,93280858,93991403,94147569,94250427,94416246,94449388,94561608,94705590,94877805,94964697,95022940,95163754,95352639,95361628,95468122,95546427,95577150,95739999,95888202,96109027,96109210,96354799,96512127,96808138,96818140,97152927,97344699,97588123,97621804,97644729,97648768,98680690,98733946,98861098,98899464,99047097,99187359,99244307,99248584,99818079,...,357604757169323346101050072123515390426986342104005056607096558640420168851829641975508398175188021115428292533511991342799992664692249084731467022453182722079678074090979861706195488356320305680064534665949914646709921340876224742030564006336853460882877389777735206104299666959135173320082479936654485340943657449152406950286087130285670757301891886037782934568506744125390612483071250865884911942300591875335507985896219141739921908425859899634806702999824441273692802459971671781502914190215368921563927159459651554742961441434519014369025300690075593425497157597147227255106250072256245838868015406771908039958858162310587664257183094177220998482743717398834069798296623249175869423454283353597750430879398583603531921690420569609128488482752496412971611850105949933719817855654743397683768245770510855475496436495256576008422366816724216564421033698463581412702006178682578363088123871742409816409224587462183225337478067468730939670806204449182576852821244153146105793650353237521003399128600333439279982159007242688658929482523739703650416999827452621804629711031083127398753983139533141395924641497254270686143456040971709552496667568253651423731539181072395001896813152628351513712286726512112747429185982399788630822397233783736761504569996740646208272406985725160270105563654750859986055884533669738262904493407658841784733149221796853366895563683506924553440685391347546291638591724878853292114333150807856967942315826511402248870193596674552447923425776867122640794199633306560756165612752912901234554290027715904609293218450601920399122196275739799367749036743747687716656900798267020935122407332262264857530089266035738524182380322283510043248096040251657739035838553963552800452849284524604267153579231421558756056484147279453188315860420294468268919930903467820882939649023544705772948125246885650169881326068872524804130414839469953316485027617845975335768098360859614207113320989892115680495795300022394213992263598048382289335432065033802537178676190085203688991328404444213544496183763242282546442737084442952732205914348923866819276026237924121933400143902456954037205349286900572300840849061892710595911837832391743915418353640677905683175399410381983655752335623658228687440355186175386308438967842922662369692487691988687555579601914897030624875414959858070708006557597543428042092574672207814441472082591030558060346485012920647441909321255856749343790127937300084333898158906031893920586608942448477742328677736786922531070971378731772330483143791714667}
15598  3811611842532630546253942756969638567785138796904472567906879523: {264877,405158,451501,685652,730897,810212,1102417,1151366,1371128,1542519,1565197,1636215,1745296,1947875,1963458,2026177,2118157,2290407,2337450,2493280,2674772,2726675,2804940,2864696,2991936,3033997,3191558,3222783,3272010,3294692,3365928,3490144,3670801,3786669,3895250,3926412,4123501,4161236,4674300,4754257,4847846,4985920,5100728,5149652,5609160,5738319,5983104,6012836,6212031,6259172,6310305,6730992,6801901,6856358,6978157,7066177,7234935,7395275,7417537,7572366,7717264,7855117,7857236,7893483,8486726,8667158,8681922,8874330,9263555,9327572,9387446,9465952,9475431,9587437,9673297,9844801,10284566,10305236,10442797,10649196,10698001,11116266,11131835,11159012,11280275,11534486,11889572,12068006,12083127,12215617,12382801,12422966,12633037,12965677,12983252,13186943,13233650,13358202,13536330,13627501,13792237,13837046,13956423,14202817,14284717,14316452,14384675,14438752,15076671,15261901,15338967,15423757,15766358,15880380,16068301,16128212,16203128,16243596,16628497,16939072,17105857,17211812,17261610,17659501,18228519,18260675,18287917,18369158,18380535,18408056,18412384,18772436,18801159,18838490,19056456,19371236,19605904,19682135,19834906,19890087,20086358,20208212,20374801,20709063,20713932,21109766,21285457,21438513,21520292,21619526,21912810,22052679,22056642,22071416,22353236,22409197,22482755,22542315,22606188,22803926,23222977,23373664,23532728,23589997,23618562,23678675,23882317,24045136,24369572,24483686,24830343,24850059,25318166,25398097,25551332,25754317,25896301,25983158,26037997,26108737,26258852,26295372,26474319,26514455,26601901,26901511,26952001,26979306,27050778,27670436,28022612,28292486,28334401,28335580,28414410,28471057,28629176,28675501,28811437,29313635,29325867,29428436,30087158,30221377,30249446,30308704,30363092,30897158,31012801,31209037,31412132,31469677,31703558,31793857,31817346,32004863,32063255,32180497,32207823,32215335,32252216,32346086,32500717,32574692,32744887,33242199,33261901,33566764,33701137,33849812,33978935,34002696,34097292,34183123,34363024,34384237,34659236,34691857,34725383,34814401,34969335,35044955,35069986,35176362,35603917,35724301,35838806,35860856,36283743,36912301,37088017,37204801,37247558,37300624,37365999,37379437,37719015,38253033,38430730,38453972,38475906,38658402,38682836,38922001,39723206,39866317,40140097,40233616,40336358,40343463,40479400,40774722,40843501,40947206,41004097,41099558,41110801,41217217,41234487,41901901,41963202,42010646,42053946,42265537,42563087,42574417,42829837,42949959,43233236,43335277,43684801,43749176,43784017,43966886,44030797,44137172,44452527,44567377,44588372,44712806,44808397,44999917,45262818,45473677,45525634,45539325,45754477,45804650,45826532,45942135,46116876,46341158,46399597,46536001,46761901,46778410,46986001,47075558,47172836,47243938,47340817,47806358,47952520,47956052,48079501,48139546,48273155,48308631,48575280,48626132,48838957,48849236,49004944,49088675,49217823,49401446,49413517,49607690,49815277,50099980,50296292,50518436,50851412,50859896,50901901,51147239,51264086,51406358,51534097,51627236,51813632,51824401,51829235,51848612,51932077,52275128,52326547,52356301,52598977,52765035,52804177,52919675,53001087,53040301,53206801,53428407,53490515,53504852,53534401,53688056,53776203,53918017,53946585,54360806,54382957,54564397,54624301,54647190,54831697,54934436,54965580,55006657,55054886,55130562,55150477,55153892,55252703,55482847,55486635,55571137,55626001,55680577,55803128,55949137,56134092,56236237,56282704,56287501,56295158,56464657,56577236,56589037,56856337,57021901,57138001,57217383,57510275,57543024,57627457,57754897,57848362,57927786,57941197,58042177,58290336,58334317,58425107,58446637,58471286,58538257,58628077,58629952,58750801,58809519,58836301,58906410,59185744,59311501,59316728,59384401,59529228,59696557,59746957,59784001,59808337,59937037,60014401,60046477,60057812,60119976,60138817,60166052,60187597,60399063,60404497,60477926,60478657,60499501,60570455,60582337,60703297,60723277,60727057,60744877,60751501,60766801,60780301,60801901,60804410,60812737,60822637,60875366,61138772,61195715,61417976,61678052,62190806,62195082,62271735,62443738,62778519,62833504,62843126,63291092,63318042,63365687,63503610,63625515,63672567,64075543,64136966,64188618,64222125,64735902,64978215,65036620,65285799,65543558,65576628,65775723,65958696,66423184,66583962,66731319,66826300,67133012,67433558,67491340,67557332,67634973,67737184,67867216,67932086,68135487,68404436,68503600,68721572,68770780,68961650,69012330,69095223,69168326,69310096,69328055,69413846,69781046,69782991,70687692,70995686,71571400,71597606,71725515,72315158,72684546,72790646,72965292,73225887,73297383,73434858,73613152,73860692,73861431,74203533,74380772,74726082,74752210,75760935,75800675,75838235,75939926,76204332,76350618,76453719,76507216,76511606,76668728,76781015,77036631,77066550,77079686,77644166,77973858,78041336,78043944,78101732,78594754,78651158,78939159,79094966,79261210,79646486,79786635,79927287,80102505,80191560,80303558,80517825,80811664,80920887,80989608,81113675,81279446,81419299,81466924,81494726,81923558,82037679,82085972,82204320,82524936,82741407,82753980,82814796,83193666,83302355,83508728,83511158,83606315,83716503,83908436,84278843,84452343,84654806,85105744,85117652,85139115,85442672,85475606,85537664,85679366,85720532,85885680,86070618,86252319,86537031,86556866,86722772,86842511,86989766,87089558,87173675,87422450,87586358,87684608,87796503,87799437,87930275,88177766,88270912,88391884,88552618,88569158,88717652,89151926,89205340,89412836,89702652,90215505,90291128,90326607,90433079,90474315,90491558,90522410,90815056,90841983,90869126,90897236,90913122,90960810,91005882,91113309,91337846,91524326,91536490,91611392,91710275,92137218,92479860,92669012,92760635,92813558,92840553,93325715,93947319,94137572,94163558,94252406,94570567,94694486,95045558,95113452,95132966,95360125,95501732,95675576,95743962,96096471,96123006,96229872,96341558,96416200,96505936,96561807,96621390,97015928,97024864,97053092,97103606,97336410,97688246,97897228,97936646,98025279,98396043,98501675,98645184,98692436,98836358,98873258,99022136,99041327,99159206,99304776,99639158,99774087,99868522,99962826,...,476806342892431128134733429498020520569315122805340075476128744853893558469106189300677864233584028153904390044682655123733323552922998779641956029937576962772904098787973148941593984475093740906752712887933219528946561787834966322707418675115804614510503186370313608139066222612180231093443306582205980454591543265536542600381449507047561009735855848050377246091342325500520816644095001154513215923067455833780677314528292188986562544567813199513075603999765921698257069946628895708670552253620491895418569545946202072990615255246025352492033734253434124567329543462862969673475000096341661118490687209029210719945144216414116885676244125569627997976991623198445426397728830998901159231272377804797000574505864778138042562253894092812171317977003328550628815800141266578293090474206324530245024327694014473967328581993675434677896489088965622085894711597951441883602674904910104484117498495656546421878966116616244300449970756624974586227741605932243435803761658870861474391533804316694671198838133777919039976212009656918211905976698319604867222666436603495739506281374777503198338644186044188527899521996339027581524608054628946069995556757671535231642052241429860002529084203504468684949715635349483663238914643199718174429862978378315682006093328987528277696542647633547026807418206334479981407846044892984350539324543545122379644198962395804489194084911342566071254247188463395055518122299838471056152444201077142623923087768681869665160258128899403263897901035822830187725599511075414341554150337217201646072386703621206145724291267469227198829595034319732490332048991663583622209201064356027913496543109683019810040119021380984698909840429711346724330794720335543652047784738618070400603799046032805689538105641895411674741978863039270917754480560392624358559907871290427843919532031392941030597500329180866893175101425163366405507219785959937755313370157127967114357464481146152276151094653189487573994393733363192285323018130731176385780576086711736716238234920113604918655104539258951392661578350989710061923649445923936976274552465231822425701368317232162577866858536609272049607132382534096401121132082523614127882450443188991887224471520903874244233865880509311541003114164877638249920473581567181744585290457230216492923316922651583407439469219862707499833886613144094277342076796724570722790099562943752588629443454707410747128646683894196589212428341142332458386837249733445778530878541375858560782145256597970323104903649049230041427961838309029773977525055619556}
15599  3828515432723634613691978642058529706728539389626292402245205614: {607737,857065,1012765,1028478,1199737,1215318,1527134,1713910,1727049,2056692,2181620,2506609,2617944,2945187,3053876,3116600,3253921,3343465,3440749,3506175,3580870,3739920,3989248,4012158,4118365,4207410,4297044,4362680,4463137,4487904,4787337,4908015,4942038,4963321,5048892,5201545,5235216,5822806,5842875,5889618,6083569,6232400,6241854,6329257,6375910,6437065,6752606,7011450,7271769,7478880,7516045,7651092,7724478,7823965,7977472,8034697,8195377,8282708,8413740,8568601,8974656,9019254,9388758,9646580,9821545,10096488,10284537,10418617,10524644,10832077,11233598,11358549,11575896,11659465,11785854,11832440,11909209,12633908,12730089,12881545,13000737,13022883,13069981,13311495,13948765,13991358,14081169,14177737,14198928,14821688,14861965,15333286,15426849,15457854,15635689,15973794,16107049,16110836,16229065,16452958,16674399,16738518,17155166,17301729,17374838,17810936,17834358,17895565,17930029,18048440,18102009,18608564,18634449,18721777,19312489,19362169,19474878,19734817,19850475,20037303,20102228,20154046,20160265,20253910,20304495,20451956,20591137,20755569,21039494,21173840,21474678,21514765,21599017,21658128,21850646,22729837,23010070,23015480,23284657,23440909,23465545,23649537,23820570,24192318,24214045,24304692,24365394,24438769,24507380,25050529,25068212,25260265,25304521,25408608,25817718,25892415,26520116,26539321,26900365,27553737,27589270,27612084,27618576,27941545,27979654,28158049,28158654,28220689,28257735,28584684,28671469,29056854,29217080,29403572,29408856,29415910,29439878,29576137,29752359,29889697,30056420,30067646,30129537,30141584,30312318,30343126,30461965,31070898,31378249,31456609,31491416,31664649,31939165,32280438,32429289,32638046,32807149,32823565,32869215,33084963,33107124,33133412,33207649,33352297,33529854,33569374,33909282,34108897,34205889,34409377,34588045,34663837,35028265,35060496,35204414,35299092,35419475,35427843,35690017,35786470,35972408,36067704,36491809,36554358,36655537,36725529,36785545,36923206,37885880,37953865,37977249,38280529,38326998,38356417,38465878,38689321,38757997,38775769,38974737,39101156,39265165,39315889,39388278,39443058,39491006,40198129,40315270,40352521,40468959,40576167,40718365,41505654,41958455,42033918,42312265,42423128,42438729,42503370,42621615,42879326,42943764,42953780,42962089,43324045,43340737,43519837,43525549,43732534,44142654,44322932,44502409,44826070,45130737,45324409,45328921,45336928,45374169,45463056,45544638,45740737,46199929,46345737,46625780,46901816,46977049,47118198,47313937,47388877,47555337,47726019,48067465,48353545,48378324,48427177,48519129,48648289,48827737,48862038,48872221,48905449,49247366,49821332,49974577,50292020,50350146,50599250,50774718,50952589,51004044,51145938,51214189,51284137,51301208,51544536,51787526,51902137,51988854,52040689,52262617,52378801,52604979,52764543,52868329,53249977,53740729,53758209,53791284,54041545,54366296,54686470,54979316,55171465,55223137,55735465,55871337,55950936,56071928,56290774,56876569,57266612,57283165,57359678,57451249,57578569,57646095,57680958,57713859,57777757,57783337,57987603,58024254,58120286,58174897,58225969,58652761,58661878,58966045,59192209,59270036,59383814,59424214,59584809,59865037,59940650,59945065,60350424,60504537,60646334,60719100,60782665,60797389,61061545,61162083,61164769,61256180,61420809,61488397,61489168,61649337,62624975,62870365,62923549,62944803,62973014,63015969,63080919,63148045,63564265,63574870,63816646,64411508,64534045,64760329,64767040,64810765,64849854,65036521,65343910,65417377,65623764,65950329,66205758,66616369,66881065,66882558,66943814,66987577,66989857,67069209,67085137,67110070,67783537,67894227,68285137,68286169,68288451,68491249,68668045,68706975,68739798,68942365,69175314,69511737,69753910,69904237,70026349,70121318,70167615,70175389,70353380,70380529,70613337,70668116,70710206,70721545,70759254,70865907,71064409,71237876,71701604,71709537,71887558,71928780,71933494,71934078,72063721,72209319,72862920,72939198,73070137,73104001,73154521,73273854,73287440,73345897,73507416,73547977,73603489,73982180,74102169,74145910,74411535,74467526,74566526,74762338,74771521,74845456,74974486,75037537,75072265,75149970,75207565,75444438,75777654,76063537,76128574,76154509,76277118,76289844,76423465,76702846,76724032,76772470,76814294,76896129,77097565,77109537,77206054,77232038,77237048,77440854,77676577,77720448,77772918,78412692,78541880,79004737,79113865,79114489,79372304,79463174,79730977,79894681,80137129,80159968,80257278,80366278,80532084,80737777,80896057,81133201,81246349,81276278,81295775,81541209,81548798,81681361,81970785,81996529,82401654,82448370,82582329,82695843,82730838,82858417,82926776,83028980,83532875,83704692,83716129,83916265,84201138,84303337,84336278,84364175,84424056,84442694,84442737,84446665,84671480,84834020,84865854,84888937,84896756,84971869,85102729,85505545,85584824,85629500,85901965,85963475,86065069,86314536,86637620,86644369,86670166,86772543,86891679,87047732,87435504,87515014,87554569,87700964,87706929,87825949,87944928,88354669,88359615,88380289,88520126,88778616,88975092,89063078,89293842,89464250,90086718,90179964,90224521,90249078,90377389,90550609,90605686,90716889,90847316,91047217,91206615,91313049,91708158,91929049,92001001,92016440,92086609,92094937,92126964,92325865,92517078,92628337,92975965,93043988,93059518,93286209,93292623,93569137,93665607,93730486,93981721,94071289,94250256,94264689,94321777,94704409,94936638,94977063,95255415,95634020,95835910,95950966,96205449,96282927,96912728,97103853,97287056,97469929,97551670,97554930,97559041,97627165,97634516,97656769,97729844,97913144,98315337,98364942,98481908,98627737,98938044,98960689,99136237,99378937,99634776,99764509,99875943,...,715209514338646692202100144247030780853972684208010113214193117280840337703659283951016796350376042230856585067023982685599985329384498169462934044906365444159356148181959723412390976712640611360129069331899829293419842681752449484061128012673706921765754779555470412208599333918270346640164959873308970681887314898304813900572174260571341514603783772075565869137013488250781224966142501731769823884601183750671015971792438283479843816851719799269613405999648882547385604919943343563005828380430737843127854318919303109485922882869038028738050601380151186850994315194294454510212500144512491677736030813543816079917716324621175328514366188354441996965487434797668139596593246498351738846908566707195500861758797167207063843380841139218256976965504992825943223700211899867439635711309486795367536491541021710950992872990513152016844733633448433128842067396927162825404012357365156726176247743484819632818449174924366450674956134937461879341612408898365153705642488306292211587300706475042006798257200666878559964318014485377317858965047479407300833999654905243609259422062166254797507966279066282791849282994508541372286912081943419104993335136507302847463078362144790003793626305256703027424573453024225494858371964799577261644794467567473523009139993481292416544813971450320540211127309501719972111769067339476525808986815317683569466298443593706733791127367013849106881370782695092583277183449757706584228666301615713935884631653022804497740387193349104895846851553734245281588399266613121512331225505825802469108580055431809218586436901203840798244392551479598735498073487495375433313801596534041870244814664524529715060178532071477048364760644567020086496192080503315478071677107927105600905698569049208534307158462843117512112968294558906376631720840588936537839861806935641765879298047089411545896250493771300339762652137745049608260829678939906632970055235691950671536196721719228414226641979784231360991590600044788427984527196096764578670864130067605074357352380170407377982656808888427088992367526484565092885474168885905464411828697847733638552052475848243866800287804913908074410698573801144601681698123785421191823675664783487830836707281355811366350798820763967311504671247316457374880710372350772616877935685845324739384975383977375111159203829794061249750829919716141416013115195086856084185149344415628882944165182061116120692970025841294883818642511713498687580255874600168667796317812063787841173217884896955484657355473573845062141942757463544660966287583429334}
15600  3845493394913092149026008970817877858888095735892491799642326948: {264911,296039,482639,529754,637919,810316,903002,916919,1133471,1371304,1380479,1461794,1542717,1596191,1620424,1657751,1822977,1965071,2149079,2204834,2290701,2302199,2302732,2424551,2570865,2668871,2727025,2742256,3064799,3085038,3130394,3272430,3429071,3489671,3490592,3671279,3701519,3817345,3852599,3895750,3926916,4052354,4124039,4154159,4236314,4304639,4484951,4580814,4674900,4754879,4784831,4986560,5054039,5143631,5349544,5371305,5453350,5471519,5590511,5609880,5679671,5729392,5828111,5983872,6018237,6067994,6094799,6311115,6383116,6445566,6544020,6589384,6655679,6731856,6979079,6980288,7008431,7242959,7341602,7413057,7535399,7573338,7681319,7790500,7852824,7885271,8233991,8247002,8322472,8552639,8734209,8812631,8834427,9244511,9348600,9362781,9445439,9508514,9563865,9617351,9695692,9760391,9874679,9971840,10102871,10128909,10201456,10299304,10353385,10517175,10557719,10897511,11218320,11236151,11405039,11461271,11476638,11586717,11657831,11966208,12025672,12058225,12133559,12245159,12424062,12518344,12579191,12620610,12662519,12718031,12912071,12968977,12995111,13050431,13155805,13461984,13528881,13603802,13712716,13876391,13956314,14083137,14132354,14150111,14204759,14469870,14722319,14790550,14835074,15128879,15144732,15263999,15290999,15434528,15452831,15584569,15710234,15714472,15786966,15792385,15909791,16630799,16657391,16790231,16850397,16973452,17028839,17187551,17334316,17363844,17451431,17678781,17688239,17748660,18055319,18290471,18316559,18527110,18550991,18655144,18680951,18774892,18836639,18931904,18950862,19174874,19346594,19689602,20138545,20173871,20224871,20479391,20530199,20569132,20610472,20885594,20987037,21061751,21298392,21396002,21689951,21764999,21989711,22039559,22232532,22263670,22318024,22412399,22560550,22857431,22999929,23068972,23186781,23226311,23250839,23260705,23544551,23593391,23617799,23779144,23885759,23910071,23960691,24128519,24136012,24166254,24346319,24431234,24679437,24765602,24845932,24851999,24971879,25107777,25127785,25266074,25564945,25686959,25732749,25758071,25781759,25900079,25931354,25966504,26062257,26112551,26183231,26373886,26394839,26467300,26629199,26716404,26751537,26886071,27049031,27072660,27234791,27255002,27554989,27584474,27674092,27912846,27926831,28201631,28405634,28498031,28569434,28632904,28702439,28769350,28770431,28838351,28877504,29212317,29244359,29513591,30153342,30231069,30248039,30292271,30380865,30446831,30523802,30634225,30677934,30688919,30847514,30951911,31039319,31148399,31335265,31365959,31474439,31475857,31496111,31532716,31559241,31760760,31863311,31927871,32078231,32121119,32136602,32212017,32256424,32406256,32463071,32487192,32775969,33150145,33256994,33287999,33350951,33706319,33727151,33878144,33976511,34017959,34142111,34211714,34286591,34410119,34423624,34515105,34523220,34594871,34656311,34717679,34758551,34901351,34942079,35319002,35609471,35730855,35749919,35770141,35849999,36029639,36208631,36268151,36288477,36406751,36446279,36457038,36521350,36548091,36575834,36623759,36702431,36738316,36754465,36761070,36800591,36816112,36824768,36859391,37120237,37346591,37443431,37544872,37570525,37602318,37676980,37790399,37823929,37905479,38020271,38112912,38381879,38589911,38646479,38726577,38742472,38834519,38946959,39211808,39338231,39364270,39375311,39560231,39597119,39669812,39762719,39780174,39872759,40164791,40172716,40201151,40328159,40416424,40580999,40749602,40760639,40796471,40868039,41010791,41039089,41117519,41135279,41241671,41383079,41383905,41416765,41418126,41427864,41969481,41978351,42219532,42237981,42272519,42341399,42570914,42581471,42598559,42836951,42853919,42877026,43040584,43141151,43239052,43309031,43459439,43585281,43692119,43807871,43825620,43840871,43956119,44005391,44105358,44113284,44123865,44142832,44159817,44299511,44526479,44574911,44591039,44671559,44706472,44783951,44818394,44888557,44965510,45007559,45023471,45084630,45101469,45212376,45468477,45481439,45514689,45607852,45715679,45777839,45808871,45963551,46148111,46422791,46445954,46453151,46498631,46559159,46606347,46747328,46769999,46784999,46949471,47065456,47179994,47231279,47237124,47357350,47363759,47393111,47539391,47568551,47570509,47713871,47764634,47887199,48002111,48090272,48102239,48386159,48420657,48470711,48512879,48739144,48778271,48861479,48876445,48930599,48957069,48967372,48985751,49062937,49435871,49557119,49624199,49660686,49700118,49824239,49837511,49996151,50035631,50061911,50294781,50354061,50580791,50636332,50733959,50796194,50863923,50873351,50923799,50999231,51102664,51174119,51433511,51508634,51792602,51845999,51966316,52075994,52202279,52217474,52260959,52296071,52366079,52482119,52517704,52590744,52620311,52643231,52677551,52806621,52825439,52848071,52927031,52948638,52960751,52994399,53016791,53028910,53061479,53203802,53479631,53544599,53555399,53620031,53679705,53692225,53801591,53803022,53904002,53907311,53928359,53958612,54101556,54126719,54240239,54484559,54574991,54753911,54822791,54831537,55113551,55170839,55227839,55256231,55275119,55312799,55340872,55384809,55403665,55554599,55582151,55646159,55691639,55835831,55960319,56045224,56221799,56256119,56298839,56400551,56501111,56584972,56600519,56608751,56633399,56668802,56671160,56771711,56828820,56891831,56942114,57041399,57064751,57080279,57103511,57149759,57157439,57241391,57258352,57316871,57351002,57376679,57490497,57531239,57553031,57622874,57698817,57787991,57836711,57878159,57912479,58020959,58061111,58160231,58270391,58282225,58289591,58371959,58459151,58477631,58520471,58627270,58640711,58651734,58658471,58717151,58763519,58769279,58803671,58820759,58856872,58871591,58954871,59014799,59079071,59082417,59126519,59164587,59236509,59279999,59329559,59397599,59487431,59538119,59701511,59710031,59760479,59764631,59797559,59801639,59825951,59962031,59973239,60042551,60049679,60132719,60152759,60162671,60174316,60185519,60201599,60230039,60242471,60287951,60320159,60442754,60446737,60451871,60472905,60493079,60495431,60498892,60523031,60534191,60572711,60596951,60598919,60617408,60620039,60654239,60705311,60726184,60735671,60743279,60749399,60754151,60772919,60775991,60782879,60792911,60795479,60796319,60802751,60817199,60823871,60825839,60829799,60833111,60834071,60834671,60838319,61753021,61794316,62025602,62258481,62276665,62418074,62824264,62865025,62939354,63050877,63407116,63587714,63634692,63755055,64009726,64126510,64318989,64360994,64415646,64430670,64504432,64692172,65001434,65149384,65298649,65489774,65598801,66213981,66484398,66523802,67133528,67239105,67402274,67582417,67699624,67957870,68005392,68194584,68316957,68366246,68724145,68726048,68768474,69318472,69383714,69450766,69577057,69628802,69938670,70089910,70139972,70352724,70677297,71207834,71448602,71583265,71677612,71721712,72560929,72567486,73293057,73824602,73871049,74087545,74176034,74409602,74495116,74601248,74731998,74758874,74886721,75438030,75525219,75898875,76162077,76506066,76570225,76718907,76861460,76907944,76951812,77316804,77365672,77681289,77844002,77983281,79446412,79732634,80280194,80467232,80514385,80672716,80686926,80958800,81549444,81687002,81894412,82008194,82029705,82199116,82221602,82434434,82468974,83803802,83926404,84021292,84107892,84436161,84531074,84798637,85126174,85148834,85659674,85674001,85899918,86039517,86466472,86521437,86670554,87036381,87180429,87369602,87498352,87568034,87933772,87941725,87992817,88061594,88274344,88335145,88905054,89047345,89075721,89134754,89136321,89176744,89425612,89616794,89627005,89910975,89999834,90091177,90525636,90947354,90969501,91051268,91078650,91508954,91609300,91653064,91884270,92233752,92477725,92682316,92799194,93072002,93523802,93556820,93972002,94151116,94194001,94345672,94459521,94487876,94681634,95362305,95612716,95724969,95905040,95912104,96159002,96279092,96546310,96617262,97059277,97150560,97252264,97274781,97677914,97698472,98009888,98015865,98177350,98435646,98802892,98827034,99215380,99308637,99602269,99630554,...,1072814271507970038303150216370546171280959026312015169821289675921260506555488925926525194525564063346284877600535974028399977994076747254194401067359548166239034222272939585118586465068960917040193603997849743940129764022628674226091692019010560382648632169333205618312899000877405519960247439809963456022830972347457220850858261390857012271905675658113348803705520232376171837449213752597654735826901775626006523957688657425219765725277579698904420108999473323821078407379915015344508742570646106764691781478378954664228884324303557043107075902070226780276491472791441681765318750216768737516604046220315724119876574486931762992771549282531662995448231152196502209394889869747527608270362850060793251292638195750810595765071261708827385465448257489238914835550317849801159453566964230193051304737311532566426489309485769728025267100450172649693263101095390744238106018536047735089264371615227229449227673762386549676012434202406192819012418613347547730558463732459438317380951059712563010197385801000317839946477021728065976788447571219110951250999482357865413889133093249382196261949418599424187773924491762812058430368122915128657490002704760954271194617543217185005690439457885054541136860179536338242287557947199365892467191701351210284513709990221938624817220957175480810316690964252579958167653601009214788713480222976525354199447665390560100686691050520773660322056174042638874915775174636559876342999452423570903826947479534206746610580790023657343770277330601367922382598899919682268496838258738703703662870083147713827879655351805761197366588827219398103247110231243063149970702394801062805367221996786794572590267798107215572547140966850530129744288120754973217107515661890658401358547853573812801460737694264676268169452441838359564947581260883404806759792710403462648818947070634117318844375740656950509643978206617574412391244518409859949455082853537926007304295082578842621339962969676347041487385900067182641976790794145146868006296195101407611536028570255611066973985213332640633488551289726847639328211253328858196617743046771600457828078713772365800200431707370862111616047860701716902522547185678131787735513497175231746255060922033717049526198231145950967257006870974686062321065558526158925316903528767987109077463075966062666738805744691091874626244879574212124019672792630284126277724016623443324416247773091674181039455038761942325727963767570248031370383811900253001694476718095681761759826827345433226986033210360767593212914136195316991449431375144001}
15601  3862546053736788791397419112749503770204729603256687771984245978: {15601,794631,1012895,1199891,1215474,1354503,1417871,1714130,2025530,2056956,2192691,2399474,2430636,2878415,3054268,3307251,3427820,3454098,3845543,4113384,4363240,4627557,4680851,4695591,4908645,5013218,5235888,5305619,5765711,5843625,5865743,5890374,6078531,6107752,6233200,6354471,6507842,6686930,6799283,6871221,6881498,7012350,7161740,7282163,7479840,7480031,7978496,7978895,8024316,8180025,8236730,8414820,8594088,8725360,8926274,8975808,9011891,9101991,9159539,9495551,9574674,9668349,9738125,9816030,9884076,9926642,10097784,10403090,10470432,10522463,10953551,11012403,11360007,11360471,11645612,11685750,11779236,12106439,12119615,12167138,12312911,12370503,12464800,12483708,12658514,12751820,12874130,13225391,13479059,13505212,13750163,13971359,14022900,14262771,14543538,14957760,15032090,15302184,15448956,15647930,15954944,16069394,16323251,16390754,16531031,16565416,16827480,17137202,17140895,17214957,17949312,18034163,18038508,18636093,18777516,18930915,19249151,19293160,19528271,19643090,20192976,20405703,20569074,20697491,20806751,20837234,20924339,20934471,21049288,21198531,21216815,21256463,21664154,21667895,21704805,22185825,22252611,22467196,22717098,22720691,23151792,23318930,23468615,23565351,23571708,23624579,23664880,23680449,23818418,23902451,25053791,25267816,25460178,25526111,25644179,25711415,25763090,26001474,26045766,26139962,26198663,26622990,27438959,27518231,27660611,27790665,27897530,27982716,28162338,28224371,28355474,28369619,28397856,28426293,28762311,28836215,29019891,29534403,29643376,29723930,29905343,30120671,30170015,30417071,30666572,30853698,30915708,31057415,31271378,31328391,31347731,31947588,32044583,32094003,32214098,32221672,32458130,32851763,32905916,33084125,33348798,33395505,33477036,33690899,33840825,33899663,34310332,34592615,34603458,34749676,35069711,35364371,35494463,35621872,35668716,35791130,35860058,36096880,36204018,36249381,36646851,37148403,37217128,37268898,37443554,37660511,37899111,38417063,38457539,38624978,38694359,38724338,38897031,38949756,39118163,39415895,39416351,39469634,39560829,39700950,40074606,40204456,40308092,40320530,40507820,40608990,40648631,40690199,40700111,40784963,40882503,40903912,41174663,41182274,41376711,41511138,41869269,42078988,42179111,42347680,42559271,42608451,42646751,42854151,42949356,43029530,43154025,43198034,43316256,43701292,44418431,44714831,45132371,45230013,45330311,45459674,45665939,45723743,45785703,45922895,45952991,46016901,46020140,46030960,46271271,46527311,46569314,46658711,46881818,46931090,47096225,47299074,47641140,47650691,47689343,48204903,48384636,48423263,48428090,48609384,48730788,48877538,49014760,49039571,49358483,49386131,49587265,49885491,50101058,50136424,50215895,50497871,50520530,50609042,50817216,51220871,51317571,51499763,51635436,51784830,52242719,52598711,52774415,52964039,52978503,53040232,53078642,53135411,53570543,53577971,53800730,54048815,54685557,54782025,54863751,54971231,55107474,55141605,55142951,55178540,55224168,55237152,55511063,55558019,55853939,55883090,55916471,55959308,56316098,56317308,56403477,56441378,56515470,57005711,57009815,57169368,57342938,58113708,58163123,58233551,58434160,58510199,58741837,58807144,58817712,58831820,58879756,58921871,59046405,59152274,59237171,59504718,59670261,59779394,60112840,60135292,60259074,60283168,60624636,60653663,60686252,60799091,60923930,61124403,61209215,61764911,62127189,62141796,62435351,62697779,62756498,62913218,62931791,62982832,63238151,63295415,63329298,63856371,63878330,64315539,64487831,64560876,64600631,64858578,64957895,65076083,65276092,65614298,65647130,65738430,66158037,66169926,66214248,66266824,66347831,66415298,66704594,67059708,67138748,67227591,67294451,67448265,67626945,67694963,67818564,67950023,68217794,68411778,68752151,68818754,68874551,69050519,69176090,69327674,69431363,69668931,70056530,70120992,70408828,70546991,70598184,70731215,70769991,70838950,70855686,71036025,71090051,71380034,71572940,71646951,71944816,72080663,72135408,72983618,73108716,73113539,73311074,73451058,73571090,73846412,74491029,74506559,74550177,74798291,75015071,75217895,75619751,75623615,75658163,75771760,75907730,75954498,76194291,76549043,76561058,76653996,76712834,76861343,76931756,77240051,77242895,77262951,77378642,77515994,77551538,77688903,77949474,78029651,78113991,78199463,78202312,78264743,78326211,78530330,78631778,78776556,78886116,78982012,79169831,79258895,79422957,79433591,79543365,79730663,79805703,80196431,80396258,80630540,80704533,80705042,80787359,80843183,80856003,80865215,80937918,81152334,81256991,81436730,82262723,82552463,82834499,83011308,83883479,83916910,83923091,84067836,84624530,84846256,84877458,85003203,85006740,85095731,85113863,85243230,85404659,85413171,85486163,85758652,85887528,85907560,85923011,85924178,86026503,86112431,86434311,86455343,86648090,86664659,86681474,86900291,87039674,87051098,87465068,87674965,87940905,87977601,88018511,88285308,88366343,88407263,88645864,88717583,88989971,89004818,89191103,89597015,89652140,89893271,90236339,90261474,90347663,90648818,90657842,90664131,90673856,90735071,90748338,90804743,90926112,91089276,91376231,91481474,91799591,92000591,92083763,92399858,92691474,92883431,93038403,93118895,93251560,93627111,93633491,93803632,93822803,93882911,93954098,93993959,94236396,94409031,94627874,94777754,94938863,95110674,95119679,95287511,95381571,95408531,95452038,95604431,96014589,96076825,96134930,96135263,96189765,96379763,96519311,96541491,96623469,96646005,96707090,96756648,96854354,97038258,97296578,97502151,97655474,97724076,97744442,97810898,98234661,98494732,98517791,99010163,99261983,99308015,99642664,99726597,99785703,99949154,...,1430419028677293384404200288494061561707945368416020226428386234561680675407318567902033592700752084461713170134047965371199970658768996338925868089812730888318712296363919446824781953425281222720258138663799658586839685363504898968122256025347413843531509559110940824417198667836540693280329919746617941363774629796609627801144348521142683029207567544151131738274026976501562449932285003463539647769202367501342031943584876566959687633703439598539226811999297765094771209839886687126011656760861475686255708637838606218971845765738076057476101202760302373701988630388588909020425000289024983355472061627087632159835432649242350657028732376708883993930974869595336279193186492996703477693817133414391001723517594334414127686761682278436513953931009985651886447400423799734879271422618973590735072983082043421901985745981026304033689467266896866257684134793854325650808024714730313452352495486969639265636898349848732901349912269874923758683224817796730307411284976612584423174601412950084013596514401333757119928636028970754635717930094958814601667999309810487218518844124332509595015932558132565583698565989017082744573824163886838209986670273014605694926156724289580007587252610513406054849146906048450989716743929599154523289588935134947046018279986962584833089627942900641080422254619003439944223538134678953051617973630635367138932596887187413467582254734027698213762741565390185166554366899515413168457332603231427871769263306045608995480774386698209791693703107468490563176798533226243024662451011651604938217160110863618437172873802407681596488785102959197470996146974990750866627603193068083740489629329049059430120357064142954096729521289134040172992384161006630956143354215854211201811397138098417068614316925686235024225936589117812753263441681177873075679723613871283531758596094178823091792500987542600679525304275490099216521659357879813265940110471383901343072393443438456828453283959568462721983181200089576855969054392193529157341728260135210148714704760340814755965313617776854177984735052969130185770948337771810928823657395695467277104104951696487733600575609827816148821397147602289203363396247570842383647351329566975661673414562711622732701597641527934623009342494632914749761420744701545233755871371690649478769950767954750222318407659588122499501659839432282832026230390173712168370298688831257765888330364122232241385940051682589767637285023426997375160511749200337335592635624127575682346435769793910969314710947147690124283885514927089321932575166858668}
15602  3879673735236351126524457465018087132021995282310409612011074823: {296077,529822,592078,669037,948001,965278,1059508,1275838,1620632,1688737,1806004,1823211,1833838,2266942,2333101,2516557,2571195,2742608,2760958,2923588,3038295,3085434,3192382,3240848,3247501,3315502,3520417,3599211,3645954,3702001,3817835,3930142,4154701,4284775,4298158,4335277,4409668,4581402,4604398,4605464,4785457,4849102,5054701,5141730,5181147,5337742,5344283,5454050,5484512,6129598,6170076,6213937,6260788,6544860,6858142,6979342,6981184,7009357,7342558,7403038,7519827,7634690,7705198,7791500,7853832,8104708,8148001,8248078,8308318,8472628,8582701,8609278,8835561,8952175,8969902,9161628,9274477,9349800,9509758,9569662,9761763,9973120,10030395,10047217,10108078,10287262,10322247,10518525,10699088,10742610,10898977,10906700,10943038,11153101,11181022,11219760,11359342,11458784,11656222,11967744,12036474,12135988,12163117,12189598,12355095,12622230,12766232,12891132,13088040,13178768,13311358,13389411,13463712,13493677,13958158,13960576,14016862,14362011,14485918,14494739,14557015,14683204,14724045,14724337,14826114,14889963,15070798,15130957,15146676,15293101,15362638,15535777,15581000,15604635,15705648,15770542,15939775,16259917,16467982,16494004,16644944,16659697,16881515,16898701,17105278,17295601,17453857,17468418,17528625,17625262,17668854,18250707,18319117,18418127,18489022,18697200,18725562,18865201,18890878,18987771,19017028,19127730,19234702,19311195,19391384,19520782,19639201,19749358,19943680,20205742,20253217,20257818,20402912,20558497,20598608,20634637,20706770,20722339,21034350,21115438,21542701,21795022,21815307,22109339,22436640,22472302,22548135,22810078,22922542,22953276,23173434,23254177,23315662,23471895,23621197,23913517,23932416,24051344,24104091,24116450,24267118,24490318,24586131,24848124,25036688,25158382,25241220,25325038,25436062,25705803,25714417,25785517,25824142,25937954,25990222,26100862,26311610,26422177,26923968,27057762,27207604,27331501,27425432,27752782,27912628,28083995,28166274,28193963,28228657,28264708,28300222,28409518,28939740,29046001,29444638,29464635,29517997,29581100,29670148,29719201,30257758,30289464,30517537,30527998,30581998,30715501,30853611,30869056,30905662,31169138,31255851,31420468,31428944,31500877,31573932,31584770,31819582,32496231,32564987,32786797,33166957,33261598,33314782,33580462,33700794,33732337,33946904,34057678,34075647,34375102,34661677,34668632,34727688,34902862,34967857,34978395,35178899,35332897,35357562,35376478,35497320,35727627,35790923,35875597,36110638,36580942,36633118,37054220,37101982,37310288,37361902,37549784,37673278,37815601,37863808,37901724,37988077,38190267,38274097,38333215,38349748,38388001,38644635,38693188,39002211,39068649,39209943,39379204,39400177,39511201,39934485,39952417,40225837,40277090,40347742,40449742,40605601,40713457,40958782,41060398,41132395,41138264,41142001,41220944,41407501,41771188,41846295,41974074,42123502,42243507,42273803,42533211,42596784,42605617,42792004,42861037,42887915,43379902,43437095,43466701,43529998,43566637,43869371,43979422,44079118,44355757,44465064,44527340,44585895,44598577,44636048,44701007,44824798,45031117,45121100,45714862,45999858,46137944,46280547,46373562,46410203,46452622,46501678,46521410,46793101,46907067,47089102,47150797,47186782,47235598,47239501,47558288,47591437,47771518,47820142,47921382,48024877,48257038,48272024,48321147,48332508,48408817,48687195,48692638,48862468,49035757,49358874,49531204,49566001,49691864,49703998,49846477,49943758,50023197,50084077,50215554,50255570,50385115,50532148,50634775,51008557,51129890,51373918,51456251,51465498,51516142,51563518,51800158,51862708,51905187,51927457,51933008,52034701,52124514,52225102,52366462,52598735,52733101,52747772,52789678,52934600,53258398,53432808,53503074,53565601,53686695,53772142,53790087,54098062,54145320,54260977,54306027,54469582,54505201,54510004,54568459,54626615,55109978,55168948,55295437,55348184,55574797,55825692,55846957,55853662,55903347,56165331,56241697,56403262,56445601,56620237,56811268,56815501,56935201,56996062,57122977,57138868,57169201,57265808,57328717,57404878,57440497,57525175,57538700,57540862,57676702,57755008,57931501,57937467,57983471,58086507,58172557,58289197,58327501,58424634,58488718,58782001,58951201,59027182,59033101,59081377,59204451,59298097,59551425,59556001,59583217,59596717,59663137,59778157,59815201,59899117,59934001,59990701,60012877,60111909,60150001,60274957,60306684,60443437,60462138,60480795,60496078,60509857,60584542,60613537,60636577,60668977,60689137,60703501,60761730,60792097,60811501,60829357,60838177,60849517,60893662,60913485,61047604,61268450,61355868,61377838,61695028,61773411,61903822,62078638,62266707,62296798,62670530,62731918,62948878,62951714,62992222,63065432,63118482,63521520,63726622,63855742,64156462,64242238,64273204,64424034,64512848,64544295,64797051,64812512,64926142,64974384,65551938,66300290,66513988,66575998,66701902,66884851,67412638,67454302,67756288,67953022,68035918,68189511,68284222,68423428,68427023,68573182,68820238,68847248,68973175,69030210,69046440,69189742,69312622,69435358,69517102,69802702,69853971,69884158,69949135,70322727,70396635,70638004,70948611,71218942,71461710,71499838,71540282,71699998,72059278,72417262,72536302,72576954,72642135,72813502,72892558,72914076,72980843,73042700,73096182,73151668,73247518,73316307,73404862,73476632,73508930,73522140,73539775,73599695,73601182,73632224,73649536,73718782,74240474,74693182,74886862,75089744,75141050,75151587,75169115,75204636,75353960,75580798,75647858,75780795,75810958,75857815,75913563,76040542,76225824,76402063,76763758,77179822,77292958,77453154,77484944,77565131,77669038,77677245,77893918,78423616,78676462,78728540,78750622,79120462,79194238,79339624,79525438,79560348,79617963,79745518,80329582,80345432,80402302,80656318,80701095,80832848,81161998,81499204,81521278,81592942,81595115,81736078,82021582,82078178,82227431,82235038,82270558,82483342,82661211,82766158,82767810,82833530,82836252,82855728,83824635,83923435,83938962,83956702,84439064,84474147,84475962,84545038,84662067,84682798,84773205,85141828,85162942,85197118,85673902,85707838,85754052,86014407,86081168,86282302,86478104,86618062,86918878,87170562,87187331,87384238,87615742,87651240,87681742,87912238,88010782,88011035,88210716,88226568,88247730,88285664,88319634,88599022,88728411,89052958,89149822,89182078,89257077,89343118,89412944,89466175,89567902,89636788,89669091,89777114,89931020,90015118,90046942,90169260,90202938,90388611,90424752,90936954,90962878,91029378,91215704,91385895,91431358,91555678,91617742,91927102,92296222,92308015,92845582,92891908,92906302,92997262,93118318,93212694,93494656,93539998,93569998,93898942,94130912,94134747,94359988,94369827,94462558,94474248,94714700,94727518,94786222,94993947,95078782,95137102,95141018,95427742,95529268,95774398,95817495,96004222,96164695,96180544,96204478,96213803,96772318,96841314,96941422,97025758,97287867,97478288,97556542,97722958,97752890,97861198,97914138,97934744,97971502,98125874,98421447,98470695,98607645,98727515,98871742,99114238,99248398,99254889,99321372,99400236,99574651,99622947,99648478,99675022,99992302,...,2145628543015940076606300432741092342561918052624030339642579351842521013110977851853050389051128126692569755201071948056799955988153494508388802134719096332478068444545879170237172930137921834080387207995699487880259528045257348452183384038021120765297264338666411236625798001754811039920494879619926912045661944694914441701716522781714024543811351316226697607411040464752343674898427505195309471653803551252013047915377314850439531450555159397808840217998946647642156814759830030689017485141292213529383562956757909328457768648607114086214151804140453560552982945582883363530637500433537475033208092440631448239753148973863525985543098565063325990896462304393004418789779739495055216540725700121586502585276391501621191530142523417654770930896514978477829671100635699602318907133928460386102609474623065132852978618971539456050534200900345299386526202190781488476212037072095470178528743230454458898455347524773099352024868404812385638024837226695095461116927464918876634761902119425126020394771602000635679892954043456131953576895142438221902501998964715730827778266186498764392523898837198848375547848983525624116860736245830257314980005409521908542389235086434370011380878915770109082273720359072676484575115894398731784934383402702420569027419980443877249634441914350961620633381928505159916335307202018429577426960445953050708398895330781120201373382101041547320644112348085277749831550349273119752685998904847141807653894959068413493221161580047314687540554661202735844765197799839364536993676517477407407325740166295427655759310703611522394733177654438796206494220462486126299941404789602125610734443993573589145180535596214431145094281933701060259488576241509946434215031323781316802717095707147625602921475388529352536338904883676719129895162521766809613519585420806925297637894141268234637688751481313901019287956413235148824782489036819719898910165707075852014608590165157685242679925939352694082974771800134365283953581588290293736012592390202815223072057140511222133947970426665281266977102579453695278656422506657716393235486093543200915656157427544731600400863414741724223232095721403433805045094371356263575471026994350463492510121844067434099052396462291901934514013741949372124642131117052317850633807057535974218154926151932125333477611489382183749252489759148424248039345585260568252555448033246886648832495546183348362078910077523884651455927535140496062740767623800506003388953436191363523519653654690866453972066420721535186425828272390633982898862750288002}
15603  3896876766865286526695032437476538869720097283964311214478583454: {31202,794733,888117,1324385,1418053,1447917,1589262,1885301,1913757,2025790,2257505,2399782,2430948,2709006,2750757,2835742,3400413,3428260,3654485,3938957,4029781,4051060,4113912,4141437,4385382,4499441,4628151,4788573,4798948,4861272,4973253,5468931,5512085,5756830,5895213,6108536,6270277,6447237,6614502,6855640,6872103,6906597,6908196,7013501,7273653,7691086,7712595,7825985,8006613,8181075,8226768,8726480,9194397,9255114,9361702,9391182,9739375,9817290,10026436,10130885,10287213,10372517,10469013,10471776,10590785,10611238,11013837,11104557,11170453,11452035,11531422,11557797,11687250,11731486,11780748,12157062,12215504,12372117,12462477,12466400,12696997,12708942,12913917,13015684,13373860,13454853,13598566,13633375,13742442,13762996,14024700,14264637,14323480,14354493,14564326,14934901,14959680,14960062,15162117,15169985,15430893,15573581,15929797,15956992,15957790,16048632,16113915,16360050,16414557,16473460,16771533,16829640,16967461,17039013,17188176,17450720,17484333,17852548,17951616,18023782,18054711,18203982,18284397,18319078,18354005,18927413,18933345,18991102,19149348,19336698,19476250,19536673,19632060,19768152,19853284,19967037,20195568,20617505,20806180,20937237,20940864,21025293,21044926,21163301,21513757,21728877,21907102,22024806,22239171,22279301,22606197,22720014,22720942,23043957,23291224,23371500,23446961,23558472,23655813,23771285,23997253,24212878,24239230,24334276,24625822,24701973,24741006,24929600,24967416,25311077,25317028,25503640,25657917,25748260,26202627,26437893,26450782,26503281,26958118,27010424,27500326,27733533,27919957,27942718,28045800,28088343,28336317,28525542,28691595,28852053,29087076,29281173,29331301,29583773,29624037,29703541,29723633,29915520,30064180,30306757,30308613,30335053,30348197,30386727,30604368,30897912,31060155,31295860,31551525,31673157,31909888,32138788,32357501,32646502,32689813,32692533,32781508,32856061,33062062,33130832,33654960,33708453,34009505,34215117,34274404,34281790,34383813,34429914,34760151,34890785,34973493,35330885,35898624,35995981,36068326,36077016,36174675,36400677,36735477,36976375,37087685,37272186,37555032,37737573,37861830,37942357,37987557,38079053,38154093,38498302,38586320,38736213,38906931,38985333,39056542,39151293,39275585,39286180,39365117,39467415,39816517,40198733,40370701,40385952,40586643,40811406,41138148,41394982,41613502,41629173,41674468,41846593,41848678,41868942,42098576,42238021,42249411,42397062,42433630,42450333,42512926,42614277,42973181,43328308,43335790,43409610,43480381,43531073,44166957,44346797,44371650,44505222,44635333,44934392,45320417,45329633,45386637,45434196,45441382,45729697,45791997,45872997,46018741,46303584,46317775,46358493,46637860,46753707,46937230,47130702,47143416,47249158,47329760,47360898,47377155,47636836,47729373,47804902,47937185,47994101,48088417,48366485,48429661,48660893,49224005,49308677,49892397,49972173,50107582,50370693,50535632,50551191,50665697,50920356,51052222,51086517,51288358,51422830,51526180,51562653,52002948,52091532,52213985,52279924,52354293,52397326,53036343,53064717,53245980,53490005,53968837,54165957,54871413,54877918,54949677,55036462,55142113,55182253,55321222,55581330,55652973,55659175,55795060,55965432,56042853,56314453,56324676,56401375,56438797,56448742,56460977,56509917,56710948,56739238,56795712,56852586,57524622,57672430,58039782,58667957,59068806,59201333,59270381,59286752,59447860,59810686,60155117,60241342,60340030,60360173,60415635,60521613,60674613,60834142,61078085,61333144,61438173,61590597,61630357,61707396,61831416,61914005,62114830,62162113,62542756,62656782,62695462,62961111,63165185,63185253,63405917,63895176,64024001,64089166,64188006,64292053,64428196,64443344,64698461,64816397,64828385,64916260,65069853,65084557,65294997,65659477,65703526,65811832,65934715,65969133,66118677,66168250,66697596,66791010,66954072,66972401,67237197,67381798,67681650,67799326,68039333,68137505,68572293,68620664,68961185,68999787,69148417,69185230,69206916,69422171,69499352,69560343,69678933,69700373,69752517,69782115,69932357,70139422,70302253,70633653,70728742,70780173,70853397,70988926,71014085,71243744,71337432,71423585,71582260,71657277,71720116,71730213,71878301,71882073,71923375,72193760,72385557,72408036,72418837,72498762,72547861,72929537,73038957,73293702,73787233,73821077,73884181,74038311,74296806,74434256,74537796,74555997,74887108,74915637,75321022,75323331,75383355,75668341,75712517,75798222,76309505,76694835,76729301,76834126,76915078,77060877,77118785,77198247,77249956,77266817,77274213,77345277,77388718,77448676,77700237,77794062,77899512,77938901,78186771,78236326,78337653,78411073,78549693,78831790,78832702,78846637,78939268,79121658,79184517,79341061,79401900,79813741,79887597,80149212,80254611,80341505,80408912,80560741,80616184,80641060,80658213,81015640,81147093,81217980,81297262,81380398,81400222,81560501,81569926,81704373,81765006,81807824,82017773,82284641,82349326,82364548,82664967,82753422,83022276,83142485,83738538,83780493,84157976,84358222,84449717,84604893,84695360,85118542,85206437,85216902,85293502,85494093,85529285,85692901,85708302,85898712,86059060,86107317,86308050,86311293,86358901,86396068,86515053,86632512,87402584,87577253,87636951,87733077,87848801,88297505,88494317,88540773,88613581,88836862,89105917,89110741,89429662,90264742,90460026,90660622,90693207,90744117,90816637,90876813,90919348,90941053,91142595,91303375,91331878,91340493,91413233,91439585,91447486,91571406,91845790,91902675,91905982,92024837,92033802,92040280,92061920,92066757,92542542,92855733,92930381,93054622,93117957,93138628,93317422,93445197,93763636,93862180,94005795,94097877,94158017,94192450,94423317,94427571,94488333,94598148,94677723,94836037,95282280,95301382,95378686,95589933,95783613,96234693,96363357,96409806,96636051,96769272,96846526,96856180,97003237,97218768,97389213,97461576,97584317,97755076,97895317,98029520,98079142,98327907,98410675,98716966,98772262,98877437,99023701,99174530,99450435,99770982,99863997,...,3218442814523910114909450649111638513842877078936045509463869027763781519666466777779575583576692190038854632801607922085199933982230241762583203202078644498717102666818818755355759395206882751120580811993549231820389292067886022678275076057031681147945896507999616854938697002632216559880742319429890368068492917042371662552574784172571036815717026974340046411116560697128515512347641257792964207480705326878019571873065972275659297175832739096713260326998419971463235222139745046033526227711938320294075344435136863992686652972910671129321227706210680340829474418374325045295956250650306212549812138660947172359629723460795288978314647847594988986344693456589506628184669609242582824811088550182379753877914587252431787295213785126482156396344772467716744506650953549403478360700892690579153914211934597699279467928457309184075801301350517949079789303286172232714318055608143205267793114845681688347683021287159649028037302607218578457037255840042643191675391197378314952142853179137689030592157403000953519839431065184197930365342713657332853752998447073596241667399279748146588785848255798272563321773475288436175291104368745385972470008114282862813583852629651555017071318373655163623410580538609014726862673841598097677401575104053630853541129970665815874451662871526442430950072892757739874502960803027644366140440668929576062598342996171680302060073151562320980966168522127916624747325523909679629028998357270712711480842438602620239831742370070972031310831991804103767147796699759046805490514776216111110988610249443141483638966055417283592099766481658194309741330693729189449912107184403188416101665990360383717770803394321646717641422900551590389232864362264919651322546985671975204075643560721438404382213082794028804508357325515078694842743782650214420279378131210387946456841211902351956533127221970851528931934619852723237173733555229579848365248560613778021912885247736527864019888909029041124462157700201547925930372382435440604018888585304222834608085710766833200921955639997921900465653869180542917984633759986574589853229140314801373484236141317097400601295122112586334848143582105150707567641557034395363206540491525695238765182766101151148578594693437852901771020612924058186963196675578476775950710586303961327232389227898188000216417234073275623878734638722636372059018377890852378833172049870329973248743319275022543118365116285826977183891302710744094111151435700759005083430154287045285279480482036299680958099631082302779638742408585950974348294125432003}
15604  3914155477495048733862819023893731560859307705844837085510551886: {46803,358363,592154,824203,1059644,1184156,1338074,1658179,1896002,1930556,2026963,2118979,2119016,2383893,2551676,2943883,3038685,3241264,3377474,3490579,3599673,3612008,3646422,3667676,4063509,4253613,4285325,4533884,4666202,4845979,5033114,5063825,5142390,5344969,5485216,5521916,5847176,5998685,6076590,6170868,6384764,6481696,6495002,6539563,6578073,6631004,6716323,7040834,7068979,7198422,7291908,7404002,7595803,7635670,7858243,7860284,8309402,8569550,8596316,8635245,8670554,8814979,8819336,9162804,9208796,9210928,9570914,9677179,9698204,9763003,9921753,10109402,10283460,10362294,10675484,10688566,10908100,10969024,11295523,11464363,11536629,12136843,12259196,12340152,12427874,12521576,12533045,12638179,12721483,12970963,13053979,13089720,13716284,13880179,13882671,13958684,13962368,14018714,14042553,14086773,14208643,14290579,14372443,14685116,14725935,14780683,14806076,15039654,15269380,15410396,15430123,15583000,15707664,15916857,16209416,16269605,16296002,16496156,16616636,16717325,16945256,17033563,17165402,17192323,17203745,17218556,17297133,17508979,17530875,17597229,17671122,17904350,17939804,18235593,18295579,18323256,18373843,18548954,18608203,18699600,19019516,19063413,19139324,19384723,19523526,19946240,20060790,20094434,20216156,20230579,20379821,20397849,20536003,20574524,20591825,20613663,20644494,21037050,21398176,21445363,21485220,21797954,21813400,21821203,21846489,21886076,22045843,22306202,22315685,22362044,22439520,22440093,22493179,22718684,22863979,22917568,23312444,23600179,23634121,23892643,23935488,23936685,24072948,24271976,24326234,24379196,24490037,24540075,24710190,24816605,25122763,25244460,25409179,25532464,25782264,26007725,26120179,26176080,26190883,26357536,26622716,26778822,26927424,26987354,27035673,27305973,27478617,27520579,27916316,27921152,28033724,28141363,28486653,28724022,28824283,28960003,28971836,28989478,29005047,29114030,29214375,29366408,29448090,29448674,29567179,29652228,29779926,29901979,30141596,30234979,30261914,30293352,30301363,30417845,30586202,30725276,31071554,31162000,31209270,31411296,31541084,31567389,31646285,31872979,31879550,32130883,32185325,32515579,32519834,32860653,32935964,32988008,33037209,33289888,33319394,33763030,33797402,34028443,34080021,34081413,34210556,34461883,34591202,34707979,34769323,34907714,34936836,34952923,35057250,35250524,35337708,36319317,36358845,36457723,36501414,36638234,36836254,36938733,36978044,37111509,37394400,37397179,37451124,37455283,37580225,37730402,37781756,37975542,38034056,38255460,38469404,38622390,38782768,39041564,39119825,39278402,39317593,39387979,39498716,39609883,39676173,39720403,39887360,40173485,40214179,40411484,40437177,40506434,40515636,40805824,40809763,40976885,41116994,41197216,41250489,41269274,41413540,41444678,41555179,41914077,42026923,42068700,42230876,42286483,42646843,42788313,42843005,43085402,43155523,43300697,43356979,43407163,43590044,43630614,43806043,43855579,44053003,44218678,44831179,44873280,44879203,44944604,45022843,45096270,45620156,45824563,45845084,45906552,46010179,46346868,46469179,46508354,46631324,46943790,47242394,47409643,47585179,47827034,47864832,47975923,48102688,48208182,48232900,48275803,48487843,48534236,48969753,48980636,49107725,49172262,49236283,49462061,49593093,49696248,49959949,50073376,50079979,50276179,50316764,50482440,50650076,50872124,51378643,51411606,51422685,51428834,51562603,51571034,51644871,51648284,51875908,51980444,52093085,52201724,52280443,52623220,52662979,52844354,52867963,53036803,53666501,53822179,53847936,53949043,54102489,54115524,54160385,54414523,54415208,54475363,54626203,54663002,54775243,54850864,54863803,55009963,55067923,55296883,55437643,55505564,55576603,55825256,55908279,56167990,56332548,56387926,56457314,56523979,56529416,56600444,56792745,56819036,56867203,56915083,57103723,57355579,57555163,57585353,57747453,57812203,57879480,58018483,58078963,58092002,58118923,58217563,58297325,58331801,58502683,58584813,58648123,58683763,58889276,58929270,59035994,59162200,59336083,59340296,59438402,59546045,59551003,59736979,59978179,59989483,60043081,60077323,60190579,60382603,60515516,60578928,60626179,60649363,60735043,60752179,60768163,60771979,60789979,60793363,60811933,60861403,60865579,61035074,61055996,61163996,61217109,61431002,61707222,61738112,61811324,62092473,62338276,62420253,62511702,62773017,62803413,62840936,62857888,63001754,63147864,63169540,63595593,63639164,63650445,63769389,64407725,64489997,64992462,65003685,65114415,65129974,65349905,65573594,66333914,66523196,66557475,66629564,66757833,67160924,67401588,67464674,67893808,68115356,68151294,68162073,68750204,69323354,69337264,69455376,69743825,69805724,69935714,69956790,70357798,70405845,70539161,70665794,70696053,70715124,70752956,70873737,70888685,70994640,71041347,71455254,71581846,71707353,71751194,72221276,73161884,73266236,73638229,74108440,74203964,74309825,74620576,74723804,74753657,75099568,75161373,75346556,75631202,75727616,75803448,75976154,76380534,76477261,76548194,76578333,76666430,76699496,76776002,76932537,77098901,77134245,77289270,77386376,78004422,78137298,78178445,78419886,78595989,78758408,78800354,79022402,79045733,79868970,79904834,80451674,80535245,80554180,80695484,80899484,81145325,81211202,81426914,81917564,82120796,82264790,82276528,82284002,82316877,82441888,82554693,82815002,82981833,83371995,83542376,83692590,83948148,84247004,84487014,84547606,84673113,85066422,85108857,85193568,85211234,85278879,85390541,85584008,85722074,85775830,86286933,86508645,86759804,86874190,86933402,87059673,87059996,87133274,87738742,87958844,88158236,88603209,88711514,88930128,89054680,89171790,89197154,89272096,89402014,89477825,89649596,89650145,89716029,90062234,90242200,90362013,90510045,91251213,91429724,91999716,92275888,92561094,92747124,92820406,92905244,93003356,93042820,93172245,93586202,93608885,93814134,93985173,94043193,94178204,94301594,94373564,94471196,94479002,95116576,95182874,95543036,95640284,95842764,96049754,96133749,96282009,96514076,96544048,96562445,96642294,96665016,96810845,96817634,97177873,97374390,97385276,97724936,97928789,98071514,98555289,98674085,98717748,99062408,99132002,99252375,99383728,99407996,99692954,99887516,...,4291257086031880153212600865482184685123836105248060679285158703685042026221955703706100778102256253385139510402143896113599911976306989016777604269438192664956136889091758340474345860275843668160774415991398975760519056090514696904366768076042241530594528677332822473251596003509622079840989759239853824091323889389828883403433045563428049087622702632453395214822080929504687349796855010390618943307607102504026095830754629700879062901110318795617680435997893295284313629519660061378034970282584427058767125913515818656915537297214228172428303608280907121105965891165766727061275000867074950066416184881262896479506297947727051971086197130126651981792924608786008837579559478990110433081451400243173005170552783003242383060285046835309541861793029956955659342201271399204637814267856920772205218949246130265705957237943078912101068401800690598773052404381562976952424074144190940357057486460908917796910695049546198704049736809624771276049674453390190922233854929837753269523804238850252040789543204001271359785908086912263907153790284876443805003997929431461655556532372997528785047797674397696751095697967051248233721472491660514629960010819043817084778470172868740022761757831540218164547440718145352969150231788797463569868766805404841138054839960887754499268883828701923241266763857010319832670614404036859154853920891906101416797790661562240402746764202083094641288224696170555499663100698546239505371997809694283615307789918136826986442323160094629375081109322405471689530395599678729073987353034954814814651480332590855311518621407223044789466355308877592412988440924972252599882809579204251221468887987147178290361071192428862290188563867402120518977152483019892868430062647562633605434191414295251205842950777058705072677809767353438259790325043533619227039170841613850595275788282536469275377502962627802038575912826470297649564978073639439797820331414151704029217180330315370485359851878705388165949543600268730567907163176580587472025184780405630446144114281022444267895940853330562533954205158907390557312845013315432786470972187086401831312314855089463200801726829483448446464191442806867610090188742712527150942053988700926985020243688134868198104792924583803869028027483898744249284262234104635701267614115071948436309852303864250666955222978764367498504979518296848496078691170521136505110896066493773297664991092366696724157820155047769302911855070280992125481535247601012006777906872382727047039307309381732907944132841443070372851656544781267965797725500576004}
15605  3931510197421129294699459129824970055291142541745871225074618194: {62404,888231,1324555,1480195,1589466,1776234,1854139,1885543,2007111,2228083,2413195,2648770,2836106,2844003,2895834,3160507,3178524,3189595,3770602,3827514,4051580,4515010,4584595,4655131,4799564,4861896,5028787,5066211,5116279,5418012,5469633,5501514,5667355,5671484,6800826,6856520,6902395,6999303,7308970,7355623,7549671,7670587,7713585,7716919,7877914,7980955,8059562,8102120,8227824,8230711,8282874,8288683,8288755,8770764,8998882,9060403,9114885,9256302,9577146,9597896,9722544,9742503,9781579,9825355,9946506,10561251,10745395,10797633,10937862,10956379,11024170,11087863,11106003,11443399,11453505,11510995,11513660,11790426,12122755,12217072,12417259,12464103,12540554,12854325,12894474,13005831,13229004,13344355,13635125,13711280,13744206,13813194,13816392,14027002,14161543,14183239,14356371,14547306,14655163,14827099,15164103,15323995,15382172,15425190,15543441,15651970,16013226,16032849,16101499,16362150,16453536,16535299,17145355,17212723,17405767,17448355,17452960,18356395,18388794,18507595,18510228,18641811,18723404,18782364,19086725,19262995,19478750,19634580,20052872,20261770,20574426,20620195,20745034,20770795,20938026,20943552,21028071,21181570,21222476,21237979,21523195,21607399,22027674,22209114,22340906,22424755,22559481,22622839,22904070,23062844,23115594,23374500,23462972,23554459,23561496,23774395,23924155,24314124,24431008,24444003,24744234,24924954,24932800,25270195,25329463,25393994,25417884,25650823,25695607,25718155,25748103,25827834,26031368,26205427,26330083,26506683,26747720,26856525,26909706,27197132,27266750,27357595,27484884,27525992,27823431,27952555,28049400,28339399,28398355,28529274,28646960,28708986,28864507,29128652,29140555,29285289,29869802,29913091,29919360,29920124,30091185,30141651,30324234,30339970,30473995,30687283,30861786,30966741,31147162,31555575,31714171,31859594,31913984,31915580,32097264,32227830,32696323,32696931,32720100,32829114,32946920,33220531,33278395,33279799,33380299,33459303,33543066,33659280,33705403,33934922,34078026,34263799,34376352,34895395,34901440,34968666,35042155,35503627,35703943,35705096,35866051,35903232,35985379,36047564,36109422,36214795,36407964,36489351,36568794,36638156,36708010,37065285,37291651,37676995,37854826,37866690,37982204,38240683,38298696,38406595,38673396,38790811,38952500,39073346,39106987,39264120,39370243,39426355,39536304,39706568,39934074,40168233,40391136,40481031,40710619,41169955,41235010,41612360,41874474,41881728,42050586,42089852,42326602,42570259,42763195,43027514,43086033,43457754,43484217,43671045,43814204,44049612,44063155,44172135,44173011,44352583,44429899,44478342,44558602,44669889,45100123,45212394,45392871,45440028,45441884,45879303,46087914,46217851,46222555,46522411,46553863,46582448,46607331,46743000,46813905,46893922,47116944,47227195,47311626,47332483,47542570,47613307,47819325,47994506,48086755,48425756,48445963,48446611,48478460,48668552,48779751,48801955,48847099,48891187,49251644,49371271,49373395,49403946,49463239,49482012,49859200,49934832,49979091,50514355,50622154,50634056,50644545,50662531,50696103,51007280,51304039,51315834,51496520,51544459,51624199,51766925,51886803,51922759,52361571,52405254,52409851,52585875,52788595,52875786,52901564,53006562,53270899,53916236,54020848,54159883,54487555,54752121,54957351,54985819,55000652,55157299,55254381,55467066,55572583,55839914,55885436,56091600,56176686,56180755,56595603,56672634,56963313,57025195,57051084,57306355,57383190,57704106,57800179,57933585,58174152,58273891,58289155,58562346,58662602,58917603,59167546,59180803,59215171,59248074,59278099,59407082,59447266,59792587,59831040,60128360,60291125,60613514,60617226,60667795,60670106,60696394,60759651,60773454,61208736,61210099,61225795,61339147,61471399,61512259,61675491,61795824,61903911,62120310,62167017,62362987,62591720,62714023,62895955,63103050,63312595,63346314,63590155,63819776,64114363,64277576,64560355,64628103,64715002,64785451,64844885,64975555,65252155,65291803,65293004,65379626,65385066,65445921,65563016,65712122,65779025,66124124,66243367,66261664,66328017,66642211,66660067,66981139,67013563,67016323,67112059,67147123,67309920,67416906,67612663,67644405,67713079,68019010,68430234,68548808,68563580,68767626,68859828,68913607,69381955,69520302,69762531,69781570,69946986,70053787,70266163,70407991,70415685,70486699,70661770,70750555,70863591,71023795,71092411,71584483,71740551,71797248,71991962,72091687,72136652,72154032,72211843,72312273,72349350,72801354,72857251,73099579,73121539,73470954,73576519,73611595,73758393,73952750,74175370,74544372,74851507,74886007,75110064,75475146,75644395,75723660,75884714,75975114,76093699,76158106,76308186,76319995,76454995,76996604,77062183,77117409,77143251,77172640,77264155,77356551,77472426,77703079,77813862,77922845,77970666,78113084,78279043,78302586,78551170,78572360,78730234,78776311,78934830,78961925,79266531,79548955,79633034,80134363,80397466,80741402,80769499,80771904,80928199,81173286,81622812,81994503,82255291,82276296,82295419,82595563,82647331,82709203,82789964,83153995,83227004,83258346,83286955,83348936,83498503,83693186,83697356,83737884,83951155,84197152,84251985,84476042,84498822,84581889,84685971,84794124,84867260,84900666,84947083,85025852,85144195,85228554,85509319,85937755,85946362,86098651,86383363,86653459,86656616,86671580,86679607,86819220,86960762,87062146,87138003,87243091,87257155,88333914,88393905,88431259,88441195,88505863,88553991,88693594,88740667,88743300,89010444,89157603,89214211,89270666,89580403,89868784,89906659,90276595,90640834,90659266,90680083,90759739,90773274,90868392,90882764,91052743,91082743,91452355,91459394,91552611,91582795,91583994,91745994,91965187,92037482,92146503,92308601,92464171,92560833,92607168,92635550,92664631,92716986,92754955,93086983,93275720,93404755,93507414,93767553,93847111,93874460,93907339,94183195,94261404,94286832,94498316,94502631,94659520,94721796,94741531,94754310,94984039,95144323,95162779,95273672,95312899,95392507,95421883,95458746,95609804,95874370,95988202,96176834,96389683,96545659,96732970,96859322,97321786,97466407,97488693,97694961,98360391,98448010,98617354,98751091,99419719,99500871,99581191,99784794,99804211,99944346,99993019,...,6436885629047820229818901298223277027685754157872091018927738055527563039332933555559151167153384380077709265603215844170399867964460483525166406404157288997434205333637637510711518790413765502241161623987098463640778584135772045356550152114063362295891793015999233709877394005264433119761484638859780736136985834084743325105149568345142073631434053948680092822233121394257031024695282515585928414961410653756039143746131944551318594351665478193426520653996839942926470444279490092067052455423876640588150688870273727985373305945821342258642455412421360681658948836748650090591912501300612425099624277321894344719259446921590577956629295695189977972689386913179013256369339218485165649622177100364759507755829174504863574590427570252964312792689544935433489013301907098806956721401785381158307828423869195398558935856914618368151602602701035898159578606572344465428636111216286410535586229691363376695366042574319298056074605214437156914074511680085286383350782394756629904285706358275378061184314806001907039678862130368395860730685427314665707505996894147192483334798559496293177571696511596545126643546950576872350582208737490771944940016228565725627167705259303110034142636747310327246821161077218029453725347683196195354803150208107261707082259941331631748903325743052884861900145785515479749005921606055288732280881337859152125196685992343360604120146303124641961932337044255833249494651047819359258057996714541425422961684877205240479663484740141944062621663983608207534295593399518093610981029552432222221977220498886282967277932110834567184199532963316388619482661387458378899824214368806376832203331980720767435541606788643293435282845801103180778465728724529839302645093971343950408151287121442876808764426165588057609016714651030157389685487565300428840558756262420775892913682423804703913066254443941703057863869239705446474347467110459159696730497121227556043825770495473055728039777818058082248924315400403095851860744764870881208037777170608445669216171421533666401843911279995843800931307738361085835969267519973149179706458280629602746968472282634194801202590244225172669696287164210301415135283114068790726413080983051390477530365532202302297157189386875705803542041225848116373926393351156953551901421172607922654464778455796376000432834468146551247757469277445272744118036755781704757666344099740659946497486638550045086236730232571653954367782605421488188222302871401518010166860308574090570558960964072599361916199262164605559277484817171901948696588250864006}
15606  3948941258369174956912263579424004899740714598268723980438288907: {78005,93606,358409,576053,716726,731273,1184308,1226633,1648406,1689173,1750709,2119288,2149913,2368312,2384199,2517209,2578313,2664351,2676148,2761433,2974709,3316358,3430409,3521333,3581909,3792004,3861112,3944693,3973155,4053926,4237958,4238032,4246133,4254159,4343751,4486709,4696793,4767786,4846613,5064475,5103352,5145653,5294873,5655903,5681909,5741271,5771033,5887766,5919413,5999455,6077370,6363353,6482528,6569909,6754948,6772515,6923093,6981158,7069913,7089355,7199346,7224016,7292844,7335352,7538393,7888409,8127018,8252271,8398159,8507226,8570650,8902709,9067768,9332404,9691958,9850073,10066228,10106933,10127650,10192409,10201239,10284780,10561973,10689938,10703753,10817033,10963455,10970432,10986713,11043832,11694352,11816871,11970773,11997370,12089343,12153180,12166409,12222233,12341736,12389513,12424311,12584309,12667673,12769528,12963392,12990004,13000409,13079126,13156146,13262008,13331993,13432646,13498323,13744853,13884453,13964309,14081668,14137958,14155913,14292533,14365719,14392075,14396844,14583816,14782709,14808004,14919759,15191606,15270293,15271340,15459209,15540053,15716486,15720568,15782153,15996809,16184213,16406793,16536255,16618804,17115353,17139100,17192632,17270490,17341108,17511413,17546263,17629958,17638672,17685639,17774453,18062873,18324233,18325608,18376409,18417592,18421856,18636809,18810831,19141828,19227715,19341711,19354358,19396408,19526006,19843506,19875593,20003573,20218804,20258933,20309909,20488073,20564309,20566920,20616309,20719791,20724588,21040503,21146393,21350968,21377132,21448409,21774293,21816200,21820959,21938048,22372373,22496393,22521173,22591046,22777447,22928726,23073258,23137785,23404255,23477955,23554709,23627993,23920409,24019839,24041909,24085243,24211673,24273686,24518392,24543225,24574133,24680304,24855748,25043152,25066090,25276358,25412873,25442966,25769333,25941926,26107958,26179440,26194709,26528095,26897909,26967833,27060953,27130709,27432568,27547733,27583191,27663113,27760358,27765342,27824309,27917368,27924736,28008053,28037428,28085106,28168409,28173546,28417286,28581158,28692533,28744886,28783253,28828555,28851209,28942771,29218125,29328715,29370232,29451870,29561366,29571593,29612152,29928713,30079308,30239513,30261653,30392655,30526709,30538760,30570773,30702773,30820792,30860246,30861639,31031513,31117551,31118873,31166000,31227893,31241959,31407039,31415328,31445333,31575413,31772355,31833714,31942409,32200073,32328473,32418832,32539210,32592004,32796809,32992312,33041511,33219209,33233272,33313671,33366293,33434650,33511359,33890512,33996415,34067126,34157909,34302473,34330804,34356105,34384646,34407490,34437112,34594266,34672409,34673391,34713353,34733813,34743247,34835993,34917593,34978709,35017958,35061750,35194458,35342244,35384309,35626133,35808700,35826773,35879608,36285209,36410815,36471186,36591158,36646512,36747686,36876809,36935573,37013813,37097908,37116351,37216406,37364309,37387431,37399200,37400155,37519253,38038409,38039032,38090991,38126826,38172053,38278648,38457113,38570633,38665013,38741751,38769446,38853173,38946953,39047052,39412853,39892480,39894475,39965333,40121580,40188868,40238873,40364559,40432312,40461158,40759642,40795698,40870133,40900125,40995209,41072006,41149048,41183650,41227326,41288988,41929493,41999093,42051209,42074100,42362393,42584983,42653909,42793911,42796352,42858293,42890726,42970440,43063479,43531253,43595908,43626800,43642406,43692978,43772152,43829909,44027573,44091686,44125973,44207753,44304799,44370713,44597513,44612404,44631370,44694233,44724088,44804703,44806709,44879040,44880186,44986358,45046409,45059455,45363209,45437368,45486351,45509955,45567413,45707993,45727958,45785813,45797695,45835136,45878933,46292679,46340213,46522709,46568153,46624888,46628633,46720743,46854293,47018633,47200358,47268242,47461913,47477755,47608073,47785286,47789391,47870976,47873370,48145896,48284309,48341745,48538613,48543952,48652468,48690625,48758392,48804233,48956693,48980074,49053209,49080150,49243671,49367573,49420380,49624073,49633210,49691093,49930709,50062709,50102153,50128409,50245526,50285273,50298293,50314599,50488920,50646809,50818358,50902383,50939093,50989493,51064928,51117039,51173551,51276809,51400409,51564528,51620873,51970613,52015450,52240358,52325333,52352160,52381766,52452999,52569353,52612315,52707209,52715072,52843913,52990709,53024393,53080373,53245432,53247113,53455733,53557644,53618393,53682953,53832473,53854848,53864309,53974708,54001433,54071346,54164133,54302453,54485909,54611946,54636809,54767755,54785909,54853191,54854873,54957234,55041158,55062015,55174709,55281127,55288853,55317209,55596809,55615193,55706633,55832632,55842304,55896053,56067448,56203913,56242879,56281493,56282726,56392409,56667893,56782239,56800035,56802355,56973306,57029513,57099893,57138713,57367433,57367639,57448044,57588953,57648566,57873113,57893909,57920006,57943672,57978956,58010094,58097909,58131209,58228060,58229909,58326809,58409333,58428750,58455163,58496693,58515209,58533653,58588553,58610019,58696409,58714133,58732816,58824713,58859033,58896180,58897348,58909973,59053493,59107253,59117909,59134358,59304456,59309273,59349209,59383733,59437193,59456393,59527253,59559852,59609909,59711753,59803958,59886809,59901111,59926409,59934233,59980207,60014453,60069593,60083993,60101813,60174473,60204533,60214409,60237173,60283192,60309209,60348053,60362633,60469958,60472073,60494933,60507353,60523828,60532195,60545753,60557333,60566453,60573209,60584309,60586704,60598075,60602726,60642773,60665909,60698453,60768473,60788213,60805013,60816053,60821273,60835690,60841013,60861209,60868853,60869909,60873353,60875993,60880409,60881033,60884309,60886613,61172404,61450552,61564555,61852515,62143108,62324000,62418540,62811711,62822592,63075879,63082168,63134778,63292570,63489903,63745958,63759100,64261766,64370650,64541271,65031158,65039668,65186631,65721306,65871928,65976016,66074418,66126955,66579776,66638788,66717513,66837903,67395295,67526060,67594804,67818591,68056886,68160042,68162826,68421112,68750815,68923766,68937583,69131871,69182404,69415958,69538646,69815428,69856795,69873672,69905846,70114500,70340883,70501048,70675416,70967439,71313855,71991759,72638634,72717690,72915446,72930319,73002828,73276468,73672508,73877466,73956088,74105919,74223018,74788800,74794358,74902248,74910566,75160450,75460804,75563512,75824539,75933231,75951084,76068112,76215451,76510920,76938808,76973751,77244780,77565536,78083128,78239650,78556804,78607881,78635186,78775958,78997432,79219766,79313679,79352346,79440806,79509843,79774720,80346970,80428358,80822968,80859823,80874354,81012868,81031272,81611648,81616255,81619526,81953770,82233988,82394432,82500978,82538548,82655155,82827080,82889356,83110358,83200599,83364463,83759871,83828154,84053846,84137400,84265029,84461752,84572966,85008951,85293686,85576626,85686010,85704475,86074785,86170804,86311046,86556159,86601394,86713958,86814326,87180088,87261228,87612086,87711158,87843519,87993903,88106006,88345231,88437356,88751319,88872111,89110623,89170899,89662358,89746560,89758406,89889208,90045686,90170815,90192540,90920271,90925839,91005159,91044591,91116883,91160181,91240312,91489867,91649126,91690168,91813104,92020358,92693736,92938358,93016708,93180465,93262648,93887580,94484788,94654575,94819286,95019471,95170358,95436487,95654068,95729664,95951846,96205376,96245755,96416364,96465800,96551606,96975686,97068472,97072503,97641355,97939506,97961272,98069439,98077599,98215450,98344524,98472566,98568183,98924122,99186186,99244159,99392496,99919898,...,9655328443571730344728351947334915541528631236808136528391607083291344558999400333338726750730076570116563898404823766255599801946690725287749609606235933496151308000456456266067278185620648253361742435980647695461167876203658068034825228171095043443837689523998850564816091007896649679642226958289671104205478751127114987657724352517713110447151080923020139233349682091385546537042923773378892622442115980634058715619197916826977891527498217290139780980995259914389705666419235138100578683135814960882226033305410591978059958918732013387963683118632041022488423255122975135887868751950918637649436415982841517078889170382385866934943943542784966959034080369768519884554008827727748474433265650547139261633743761757295361885641355379446469189034317403150233519952860648210435082102678071737461742635803793097838403785371927552227403904051553847239367909858516698142954166824429615803379344537045065043049063861478947084111907821655735371111767520127929575026173592134944856428559537413067091776472209002860559518293195552593791096028140971998561258995341220788725002197839244439766357544767394817689965320425865308525873313106236157917410024342848588440751557888954665051213955120965490870231741615827044180588021524794293032204725312160892560623389911997447623354988614579327292850218678273219623508882409082933098421322006788728187795028988515040906180219454686962942898505566383749874241976571729038887086995071812138134442527315807860719495227110212916093932495975412311301443390099277140416471544328648333332965830748329424450916898166251850776299299444974582929223992081187568349736321553209565248304997971081151153312410182964940152924268701654771167698593086794758953967640957015925612226930682164315213146639248382086413525071976545236084528231347950643260838134393631163839370523635707055869599381665912554586795803859558169711521200665688739545095745681841334065738655743209583592059666727087123373386473100604643777791117147306321812056665755912668503824257132300499602765866919993765701396961607541628753953901279959723769559687420944404120452708423951292201803885366337759004544430746315452122702924671103186089619621474577085716295548298303453445735784080313558705313061838772174560889590026735430327852131758911883981697167683694564000649251702219826871636203916167909116177055133672557136499516149610989919746229957825067629355095348857480931551673908132232282333454307102277015250290462861135855838441446108899042874298893246908338916227225757852923044882376296009}
15607  3966448993501131136595347744391493119987835060682253737111295288: {15607,124808,140409,1075089,1480385,1776462,1854377,2072273,2228369,2472609,2633189,2649110,2960390,3178932,3345185,3378473,3552468,3708278,3771086,4014222,4456166,4465433,4740005,4826390,4974537,5297540,5620409,5672212,5688006,5791668,6080889,6321014,6332513,6356937,6357048,6379190,6418433,7151679,7541204,7655028,7934297,8103160,8199593,8443685,8573009,8693009,8831649,9030020,9116055,9169190,9310262,9599128,9663353,9723792,10057574,10132422,10232558,10471737,10707749,10799019,10836024,10932353,10939266,11003028,11173337,11334710,11342968,11604257,11665505,12190527,12582785,12760839,12855975,13524017,13601652,13713040,13755497,13804790,13878113,13998606,14537937,14617940,14711246,15043553,15099342,15191475,15341174,15370049,15427170,15433838,15755828,15961910,16034907,16115393,16119124,16204240,16237505,16455648,16461422,16565748,16577366,16577510,16675493,16736369,16971857,17541528,17553569,17602085,17995793,17996055,17997764,18120806,18229770,18510005,18512604,18682097,19089175,19154292,19195792,19445088,19485006,19541717,19563158,19618689,19650710,19734219,19893012,20148969,20342309,20773505,20831273,21122502,21206937,21423875,21453593,21490790,21595266,21676385,21875724,21912758,22048340,22175726,22212006,22787409,22886798,22907010,23021990,23027320,23574729,23580852,23927285,24003497,24245510,24427697,24434144,24703457,24834518,24928206,25081108,25273505,25536017,25547957,25698953,25708650,25788948,25905735,25910633,26011662,26042969,26444937,26458008,26663153,26688710,26721415,26968193,27270250,27422560,27488412,27626388,27632784,28054004,28323086,28366478,28712742,28868273,29031537,29079113,29094612,29289009,29310326,29654198,29765259,30132473,30137873,30314609,30328206,30647990,30764344,30850380,31069685,31086882,31303940,31394657,32026452,32065698,32202998,32724300,32907072,33070598,33284153,33492017,33493817,33860513,33886569,34290710,34393089,34425446,34609887,34811534,34896710,34905920,35046785,35349569,35378273,36005417,36266789,36410529,36510713,36712790,36777588,37015190,37020456,37283622,37307393,37446808,37564728,37599135,37709969,37914537,37952153,38164449,38173450,38300633,38525990,38641109,38912889,38957500,39133577,39161937,39269160,39631913,39757697,39863489,40105744,40218953,40523540,40740005,40796777,41148852,41240390,41490068,41541590,41640537,41648013,41857397,41876052,41887104,42056142,42127659,42195569,42260319,42363140,42444952,42475958,42625929,42663593,42748217,42871737,42913505,43046390,43117329,43214798,43707809,44055348,44177805,44342049,44418228,44646857,44681812,44760875,44849510,45118962,45245678,45808140,46125688,46231188,46290369,46370549,46372385,46528469,46589753,46676993,46749000,46925944,47108918,47122992,47300129,47548790,47669369,47750571,47848310,48628248,48787457,48808815,48853553,48862016,48888006,49059017,49405289,49488468,49849908,49865600,50088869,50151975,50236085,50540390,50658926,50700713,50787988,50835768,51100689,51301646,51391214,51436310,51496206,51576969,51611235,51630953,51655668,51891399,52062736,52067753,52262993,52410854,52416689,52526937,52592625,52660166,52747793,52791687,53013366,53495440,53713050,53769233,53819412,54394264,54494885,54533500,54706779,54715190,54886737,54969768,55051984,55121529,55196897,55532597,55646862,55706897,55765505,55824609,55905110,55938389,56098800,56565113,56678798,56796710,56906033,57058548,57190239,57293920,57417972,57608513,57637937,57729014,58154169,58257304,58281110,58570578,58944737,59739604,59800373,59826182,59838720,59840248,59868473,60182370,60283302,60648468,60679940,60691737,60815585,60947990,61010417,61139463,61193547,61374566,61608009,61646393,61688417,61723572,61775475,61840989,61933482,62234609,62294324,62354213,62884853,62956517,63111150,63428342,63439673,63719188,63827968,63831160,64194528,64336089,64455660,64512857,64711577,65392646,65393862,65440200,65463609,65539467,65569433,65658228,65676689,65893840,66118073,66137529,66251993,66374033,66441062,66556790,66559598,66760598,66827009,66918606,66947055,67086132,67318560,67320279,67321457,67410806,67468385,67479537,67554833,67869844,68156052,68320649,68322737,68326313,68476769,68527598,68591937,68752704,68901269,69122753,69458297,69699809,69790790,69802880,69937332,69940949,70084310,70574633,70720097,70800537,70902363,71007254,71257313,71407886,71410192,71677929,71732102,71806464,71810055,71970758,72095128,72108917,72218844,72429590,72473695,72566657,72648017,72785075,72815928,72978702,73137588,73276312,73416020,73470111,73620225,73621685,73641977,73904033,74130570,74449815,74535473,74583302,74605169,74832833,74861273,75076409,75353990,75368289,75649097,75654785,75709652,75733380,75964408,76103753,76227537,76282577,76465505,76481366,76597392,76813190,77346792,77581622,77678885,77881889,77905000,78023175,78146692,78213974,78295409,78360537,78528240,78572649,78653057,78740486,78786569,78852710,79072608,79155473,79201109,79413136,79698875,79835273,79868148,80228897,80336466,80390873,80782272,80962062,81107019,81288917,81299585,81421238,81604817,81724073,81835073,81917919,82339910,82391669,82435851,82470020,82561737,83041829,83224720,83298485,83748948,83763456,84101172,84179704,84347009,84407575,84424089,84493505,84653204,84934913,85140518,85341269,85459959,85526390,85716113,85862393,86055028,86172066,86472849,86478005,86714969,86880009,86915508,86968434,87015141,87269285,87342090,87628408,87643125,87918473,88054337,88099224,88126310,88344270,88346022,88426073,88637633,88701537,88705166,88859798,88956684,89026217,89117204,89339778,89534117,89705937,89928917,90200246,90271793,90384497,90424788,90424853,90704937,90782839,90785742,90880056,90880457,90883768,90904089,90965777,91073489,91253535,91353017,91595585,91758606,91977233,92036489,92090635,92134313,92175828,92435702,92445110,93044822,93107726,93164896,93214662,93486000,93617609,93627810,93787844,94233888,94326005,94454390,94623252,94664966,94702167,94860713,94938855,95085140,95226614,95445929,95618937,95638650,95642417,95989012,96173510,96392649,96490997,96555975,96851512,96891926,96893222,96956920,97028369,97134737,97337104,97520897,97546737,97559502,97603910,97694198,97782374,98196005,98503288,98581959,98680049,98742542,98746790,98807892,98926478,98964024,99050777,99111627,99288209,99433313,99718400,99869664,99958182,...,12873771258095640459637802596446554055371508315744182037855476111055126078665867111118302334306768760155418531206431688340799735928920967050332812808314577994868410667275275021423037580827531004482323247974196927281557168271544090713100304228126724591783586031998467419754788010528866239522969277719561472273971668169486650210299136690284147262868107897360185644466242788514062049390565031171856829922821307512078287492263889102637188703330956386853041307993679885852940888558980184134104910847753281176301377740547455970746611891642684517284910824842721363317897673497300181183825002601224850199248554643788689438518893843181155913258591390379955945378773826358026512738678436970331299244354200729519015511658349009727149180855140505928625585379089870866978026603814197613913442803570762316615656847738390797117871713829236736303205205402071796319157213144688930857272222432572821071172459382726753390732085148638596112149210428874313828149023360170572766701564789513259808571412716550756122368629612003814079357724260736791721461370854629331415011993788294384966669597118992586355143393023193090253287093901153744701164417474981543889880032457131451254335410518606220068285273494620654493642322154436058907450695366392390709606300416214523414164519882663263497806651486105769723800291571030959498011843212110577464561762675718304250393371984686721208240292606249283923864674088511666498989302095638718516115993429082850845923369754410480959326969480283888125243327967216415068591186799036187221962059104864444443954440997772565934555864221669134368399065926632777238965322774916757799648428737612753664406663961441534871083213577286586870565691602206361556931457449059678605290187942687900816302574242885753617528852331176115218033429302060314779370975130600857681117512524841551785827364847609407826132508887883406115727738479410892948694934220918319393460994242455112087651540990946111456079555636116164497848630800806191703721489529741762416075554341216891338432342843067332803687822559991687601862615476722171671938535039946298359412916561259205493936944565268389602405180488450345339392574328420602830270566228137581452826161966102780955060731064404604594314378773751411607084082451696232747852786702313907103802842345215845308929556911592752000865668936293102495514938554890545488236073511563409515332688199481319892994973277100090172473460465143307908735565210842976376444605742803036020333720617148181141117921928145198723832398524329211118554969634343803897393176501728012}
15608  3984033737421411566842564873439413473058987855450418699961655269: {109207,156010,187212,716818,1041247,1152106,1433452,1462546,1504567,2368616,2425807,2453266,2664693,2792287,3296812,3378346,3501418,3973665,4238576,4246687,4299826,4440585,4736624,4768398,5034418,5056687,5146327,5156626,5325391,5328702,5352296,5522866,5562417,5593447,5656629,5949418,6021333,6216391,6393727,6621925,6632716,6684249,6860818,7042666,7090265,7163818,7239585,7363927,7584008,7722224,7889386,7946310,8107852,8238367,8399237,8475916,8476064,8492266,8508318,8532009,8672887,8687502,8973418,9393586,9426505,9481521,9535572,9568785,9693226,9879967,9925097,10128950,10206704,10291306,10589746,10988191,11242207,11287525,11311806,11363818,11482542,11542066,11664127,11775532,11838826,11998910,12000367,12154740,12251791,12726706,12919087,12965056,13139818,13509896,13545030,13753785,13846186,13962316,13965393,14139826,14178710,14398692,14448032,14585688,14670704,15076786,15086361,15198633,15299407,15348837,15776818,16254036,16346791,16408899,16504542,16796318,16905727,17002065,17014452,17141300,17302807,17805418,18135536,18272425,18664808,18950887,19383916,19694785,19700146,20132456,20148905,20213866,20255300,20384818,20402478,20569560,20643391,20707185,20997909,21123946,21379876,21407506,21634066,21926910,21940864,21973426,22066869,22087664,22151791,22375567,22497205,22524391,22649013,23011761,23140755,23150757,23388704,23633742,23941546,23942865,23994740,24178686,24306360,24332818,24444466,24577687,24683472,24692133,24779026,24848622,24866049,24866265,24866407,25168618,25335346,25539056,25796791,25926784,25980008,26000818,26158252,26312292,26524016,26663986,26865292,26918801,26996646,27181209,27343567,27344655,27413047,27489706,27560425,27768906,27928618,28163336,28275916,28311826,28585066,28719487,28731438,28784150,28793688,29167632,29227509,29344737,29476065,29565418,29616008,29839518,30266191,30383212,30398887,30540586,30542680,30729367,30918418,31058047,31080106,31351385,31432972,31441136,31564306,31580191,31683753,31993618,32025433,32097727,32236185,32368426,32392899,32765957,32813586,32869137,33072510,33237608,33263589,33318009,34205093,34230706,34278200,34330197,34360515,34385264,34532985,34540980,34682216,34739191,35022826,35045191,35067505,35092526,35259916,35277344,35371278,35531047,35548906,36125746,36368265,36370207,36648466,36651216,36725527,36752818,36835184,36843712,37139333,37251777,37273618,37392309,37544527,37621662,38006191,38283656,38406367,38455430,38463247,38562975,38683422,38708716,38792816,38971927,39017493,39052012,39129925,39585727,39687012,39751186,39861847,39971791,40007146,40033065,40359977,40437608,40517866,40619818,40679407,40787191,40894687,40905375,40976146,41060201,41128618,41133840,41232618,41439582,41449176,42081006,42292786,42369391,42472567,42484629,42549717,42701936,42754264,42882391,42896818,42984127,43069113,43538527,43548586,43632400,43641918,43876096,43965489,44481297,44621191,44744746,44992786,45042346,45182092,45481087,45492309,45554894,45575191,45715807,45809191,45857452,45902287,45971985,46146516,46275570,46591327,46630323,46808510,46862407,46955910,47109418,47255986,47264167,47594981,47840818,48039678,48083818,48098547,48170486,48304497,48423346,48547372,48603367,48696875,49020607,49036784,49086450,49148266,49360608,49605897,49632967,49711496,50086304,50132180,50307391,50385367,50552716,50654425,50770927,50825746,50885932,50961007,50975141,51436065,51538666,51638169,51862585,51883852,52215916,52217301,52345065,52358880,52360217,52389418,52762807,52797007,52865191,52953925,53056190,53101567,53465887,53628607,53795818,53935666,54011791,54121906,54168391,54261418,54865136,55069185,55095466,55166382,55271287,55326226,55356391,55520716,55522785,55530684,55648618,55834736,55849472,55852265,55907191,55925433,56016106,56074856,56170212,56223847,56301391,56336818,56347092,56479807,56629927,56679391,56801791,56834572,56850247,56970127,56993887,57041191,57158191,57162316,57260175,57385066,57489772,57566506,57657110,57673207,57702418,57788985,57885542,58364767,58383847,58436250,58552327,58657430,58740464,58837447,58903740,58989727,59006287,59071807,59122732,59143186,59152087,59224304,59469607,59540527,59636791,59857426,59951791,60031927,60158616,60191767,60201847,60298687,60362191,60477833,60479026,60509287,60523306,60560191,60645367,60669127,60752647,60785310,60814207,60837391,60857047,60887287,60898447,61053418,61077520,61141546,61405546,61641584,61720492,61723278,61784789,61860585,62063026,62235102,62237746,62312385,62332000,62455786,62483918,62814078,62830656,62890666,63083237,63084213,63150826,63484985,63544710,63667428,63713937,63884818,64116773,64400146,64569585,64656946,64822197,64837664,65078420,65184008,65332241,65593618,65984624,66083022,66438418,66466544,66468857,66627342,66732586,66869300,67022718,67274265,67678443,67781024,67868517,67992830,68134252,68166875,68315818,68604946,68661608,68712210,68769292,68814980,68874224,69188532,69344818,69346782,69426706,69467626,69486494,69671986,69835186,69957418,70035916,70123500,70388916,70663377,70684488,70768618,71252266,71323185,71617400,71653546,71759216,71772465,72570418,72821630,72942372,73182316,73293024,73332009,73495372,73657241,73753618,73871146,74027626,74195816,74232702,74432812,74674505,74728618,74774862,74798400,74800310,75038506,75810585,75849925,75988389,76076818,76078064,76181982,76253652,76344106,76557296,76674857,76914226,76952469,77086821,77141266,77154465,77244309,77330026,77483502,77538892,77706346,77867905,77893906,78094104,78616281,78825706,78990249,79520049,79523297,79648985,79784960,79788950,79930666,80243160,80377736,80477746,80569575,80729118,80864624,80922316,81471689,81519284,81591396,81740266,81800250,81990418,82072785,82144012,82298096,82367300,82454652,82577976,83470293,83857665,83858986,83998186,84102418,84148200,84333073,84724786,84745073,84837305,85018197,85169966,85195065,85307818,85587822,85592704,85716586,85781452,85940880,86126958,86190377,86593521,87062506,87191816,87253600,87284812,87385956,87421665,87544304,87659818,87855867,88055146,88183372,88251946,88415506,88609598,88741426,89195026,89224808,89262740,89388466,89448176,89609406,89613418,89739273,89758080,89760372,89972716,90092818,90118910,90273555,90424953,90491269,90726418,90874736,90972702,91019910,91134826,91415986,91421985,91455916,91571626,91595390,91670272,91757866,91770025,92061849,92577737,92585358,92680426,92900223,93045418,93136306,93249776,93257266,93441486,93708586,94037266,94353413,94400716,94536484,94637065,94666725,94923826,94955510,95142513,95216146,95561609,95570572,95578782,95741952,95746740,96251141,96291792,96568618,96683490,97077226,97087904,97304936,97381250,97516784,97608466,97683365,97799513,97913386,97960148,98088969,98090793,98106418,98160300,98487342,98735146,98840760,99248146,99266420,99382186,99661593,99835185,99839397,99861418,...,19310656887143460689456703894669831083057262473616273056783214166582689117998800666677453501460153140233127796809647532511199603893381450575499219212471866992302616000912912532134556371241296506723484871961295390922335752407316136069650456342190086887675379047997701129632182015793299359284453916579342208410957502254229975315448705035426220894302161846040278466699364182771093074085847546757785244884231961268117431238395833653955783054996434580279561961990519828779411332838470276201157366271629921764452066610821183956119917837464026775927366237264082044976846510245950271775737503901837275298872831965683034157778340764771733869887887085569933918068160739537039769108017655455496948866531301094278523267487523514590723771282710758892938378068634806300467039905721296420870164205356143474923485271607586195676807570743855104454807808103107694478735819717033396285908333648859231606758689074090130086098127722957894168223815643311470742223535040255859150052347184269889712857119074826134183552944418005721119036586391105187582192056281943997122517990682441577450004395678488879532715089534789635379930640851730617051746626212472315834820048685697176881503115777909330102427910241930981740463483231654088361176043049588586064409450624321785121246779823994895246709977229158654585700437356546439247017764818165866196842644013577456375590057977030081812360438909373925885797011132767499748483953143458077774173990143624276268885054631615721438990454220425832187864991950824622602886780198554280832943088657296666665931661496658848901833796332503701552598598889949165858447984162375136699472643106419130496609995942162302306624820365929880305848537403309542335397186173589517907935281914031851224453861364328630426293278496764172827050143953090472169056462695901286521676268787262327678741047271414111739198763331825109173591607719116339423042401331377479090191491363682668131477311486419167184119333454174246746772946201209287555582234294612643624113331511825337007648514264600999205531733839987531402793923215083257507907802559919447539119374841888808240905416847902584403607770732675518009088861492630904245405849342206372179239242949154171432591096596606906891471568160627117410626123677544349121779180053470860655704263517823767963394335367389128001298503404439653743272407832335818232354110267345114272999032299221979839492459915650135258710190697714961863103347816264464564666908614204554030500580925722271711676882892217798085748597786493816677832454451515705846089764752592018}
15609  4001695826183094238312949327506396426174403179086916952213733687: {31214,234015,249616,280818,1075227,1728159,1791815,2072539,2150178,2193819,2633527,2913647,2960770,3552924,3679899,3708754,4121015,4144546,4456738,4683259,4945218,4966511,5067519,5252127,5266378,5298220,5920780,6087479,6357864,6449739,6636007,6690370,6756946,7104936,7152597,7416556,7483879,7542172,7551627,7734939,7993053,8028444,8039867,8284299,8290895,8912332,8924127,8930866,9164251,9480010,9652780,9949074,10134815,10291227,10563999,10594895,10595080,10745727,10839047,11240818,11344424,11376012,11583336,11821159,11834079,11919465,12126587,12161778,12642028,12665026,12713874,12714096,12738399,12758380,12762477,12836866,13031253,13078391,13460127,14090379,14303358,14539839,14719415,15082408,15193425,15310056,15436959,15868594,15884619,16206320,16331707,16399186,16887370,16967709,17045727,17146018,17217167,17223813,17313099,17386018,17452895,17615899,17663298,17758239,17825527,17998365,18060040,18232110,18338380,18620524,19090059,19198256,19326706,19447584,19709727,20115148,20264844,20317545,20465116,20745127,20769279,20943474,21070139,21209739,21268065,21415498,21426625,21598038,21672048,21864706,21878532,22006056,22287947,22346674,22615179,22669420,22685936,22732507,23208514,23282011,23299727,23331010,23665227,23864999,24229895,24381054,24642919,24756813,25165570,25194477,25319125,25521678,25711950,25914007,26100887,26708127,26724845,27048034,27203304,27426080,27510994,27609580,27756226,27997212,28553599,29075874,29082907,29235880,29422492,29550219,29993425,30087106,30198684,30320799,30346939,30382950,30577227,30603717,30682348,30740098,30854340,30867676,31510999,31511656,31685919,31722359,31923820,32069814,32111259,32216347,32230786,32238248,32408480,32451099,32475010,32697815,32890365,32911296,32922844,32960139,33131496,33154732,33155020,33350986,33373967,33472738,33498199,33581615,33943714,34431647,35008327,35083056,35107138,35204170,35344895,35382907,35450613,35912319,35991586,35992110,35995528,36241612,36268029,36459540,36499227,36666699,37020010,37025208,37168539,37272933,37301279,37364194,37409981,37752927,37979015,38003019,38178350,38308584,38391584,38890176,38970012,39001227,39083434,39117119,39126316,39237378,39291215,39301420,39468438,39786024,39995979,40214327,40297938,40378811,40494969,40684618,40806091,41234559,41547010,41653359,41662546,41892927,42245004,42413874,42467739,42847750,42877599,42907186,42981580,43097157,43176225,43190532,43352770,43497559,43751448,43825516,44074895,44096680,44294491,44348127,44351452,44424012,44566327,44759277,45111767,45286039,45358511,45574818,45773596,45810879,45814020,46043980,46054640,46377627,46620159,46901759,47149458,47161704,47346459,47777419,47854570,47990427,48006994,48012719,48385895,48459119,48491020,48552639,48632527,48815015,48855394,48868288,49065499,49220379,49406914,49608765,49669036,49856412,50007047,50162216,50547010,50685359,51072034,51095914,51346059,51397906,51417300,51577896,51811470,51821266,52023324,52085938,52296827,52534239,52638789,52889874,52916016,53056917,53323359,53326306,53377420,53442830,53936386,54188619,54540500,54845120,54972699,54976824,55129227,55163719,55252776,55265568,55910427,56108008,56336527,56432493,56477615,56646172,56732956,57036007,57321815,57425484,57683145,57736546,58025133,58063074,58158226,58189224,58193371,58578018,58620652,59308396,59530518,59626779,60010719,60078907,60264946,60275746,60629218,60656412,60684215,60776799,60830587,60836999,60929727,61018399,61295980,61328327,61355039,61464219,61528688,61692927,61700760,61848927,62139370,62159373,62173764,62607880,62665225,62789314,63121509,63190895,63439179,63607415,64048847,64052904,64131396,64345227,64405996,64723559,64854815,64921339,65269895,65322879,65448600,65462877,65814144,66141196,66526651,66568306,66835711,66849679,66984034,66987634,67117119,67489179,67563519,67721026,67773138,67827407,68065727,68332341,68535959,68581420,68786178,68850892,69219774,69400895,69413355,69623068,69793420,69811840,70093570,70212765,70283071,70330519,70433865,70664127,70699138,70756546,70883979,71043215,71452895,71761227,71862215,72010834,72059517,72125727,72213787,72255729,72533578,72635019,72821058,72957839,73021426,73393367,73425580,73555176,73629675,73722399,73903415,74030380,74040912,74567244,74614786,74645159,74820911,74893616,74974159,75129456,75198270,75419938,75741899,75829074,75904306,76204319,76238619,76292839,76328898,76346900,76601266,76759727,77051980,77150615,77282218,77307999,77727947,77825778,77915000,77969147,78071707,78267154,78323874,78442039,78538320,78584127,78877531,79263826,79515394,79584285,79726978,79946591,80189339,80211488,80437906,80592319,80693727,80749279,80903499,81047080,81182859,81185711,81348025,81392127,81480010,81592907,81593554,82297704,82305739,82480780,82643199,82749573,82980136,82989339,83083180,83281074,83296026,83472927,83586625,83714794,83752104,83774208,84024159,84112284,84255318,84312379,84391138,84505227,84520638,84726280,84889904,84951916,85141819,85167815,85251858,85327186,85496434,85743474,85827010,85961615,86018725,86077599,86092780,86234658,86349759,86406287,86429596,86485665,86553627,86828313,87415618,87544895,87654375,87883079,87986145,88110696,88355610,88684098,88714779,88836456,89293714,89363624,89521750,89699020,89786139,89940799,90237924,90491356,90609719,90718539,90784959,90852319,91177965,91423567,91477895,91580127,91616280,91712319,91869215,92108319,92207179,92251376,92462376,92488127,92580738,92584917,92741098,92744770,92966999,93041015,93056938,93094539,93179506,93352653,93353986,93356619,93498000,93683679,93725877,93851888,94217836,94221117,94245984,94335999,94455739,94600258,94726239,95097580,95317065,95338738,95501142,95696620,95827227,95963851,96429691,96600219,96923615,96985419,97256496,97491659,97574914,97617630,97707106,97724032,97776012,98118034,98390427,98810578,98976936,99124533,99657627,99699816,99731200,99941013,...,28965985330715191034185055842004746624585893710424409585174821249874033676998201000016180252190229710349691695214471298766799405840072175863248828818707800488453924001369368798201834556861944760085227307941943086383503628610974204104475684513285130331513068571996551694448273023689949038926680874869013312616436253381344962973173057553139331341453242769060417700049046274156639611128771320136677867326347941902176146857593750480933674582494651870419342942985779743169116999257705414301736049407444882646678099916231775934179876756196040163891049355896123067465269765368925407663606255852755912948309247948524551236667511147157600804831830628354900877102241109305559653662026483183245423299796951641417784901231285271886085656924066138339407567102952209450700559858581944631305246308034215212385227907411379293515211356115782656682211712154661541718103729575550094428862500473288847410138033611135195129147191584436841252335723464967206113335302560383788725078520776404834569285678612239201275329416627008581678554879586657781373288084422915995683776986023662366175006593517733319299072634302184453069895961277595925577619939318708473752230073028545765322254673666863995153641865362896472610695224847481132541764064574382879096614175936482677681870169735992342870064965843737981878550656034819658870526647227248799295263966020366184563385086965545122718540658364060888828695516699151249622725929715187116661260985215436414403327581947423582158485681330638748281797487926236933904330170297831421249414632985944999998897492244988273352750694498755552328897898334923748787671976243562705049208964659628695744914993913243453459937230548894820458772806104964313503095779260384276861902922871047776836680792046492945639439917745146259240575215929635708253584694043851929782514403180893491518111570907121167608798144997737663760387411578674509134563601997066218635287237045524002197215967229628750776179000181261370120159419301813931333373351441918965436169997267738005511472771396901498808297600759981297104190884822624886261861703839879171308679062262833212361358125271853876605411656099013277013633292238946356368108774013309558268858864423731257148886644894910360337207352240940676115939185516316523682668770080206290983556395276735651945091503051083692001947755106659480614908611748503727348531165401017671409498548448832969759238689873475202888065286046572442794655021724396696847000362921306831045750871388583407567515324338326697128622896679740725016748681677273558769134647128888027}
15610  4019435597294143742903653954129666574409139834338437260402732841: {46821,218414,312020,374424,421227,451849,638329,917509,1288741,1433636,1751161,2082494,2119801,2303689,2304212,2578981,2866904,2925092,3009134,3036361,3225267,3491941,3582841,3855109,4307449,4441155,4737232,4757989,4851614,4906532,5296261,5329386,5563131,5584574,5831941,6216819,6593624,6622775,6685107,6756692,6807289,6983689,7002836,7247749,7400975,7417827,7598821,7686409,7899567,7947330,8384521,8477152,8493374,8599652,8881170,8905081,9270695,9427715,9473248,9536796,9595129,9766921,9852709,9926371,10035555,10068836,10113374,10135419,10292654,10313252,10650782,10657404,10704592,10706629,11045732,11046181,11124834,11140415,11186894,11313258,11805961,11898836,12042666,12065975,12225541,12392869,12432782,12643321,12726661,12787454,13059301,13197107,13243850,13265432,13368498,13390789,13396299,13721636,13803529,13968121,14085332,14180530,14214469,14220015,14296441,14327636,14378341,14479170,14727854,14868229,14923611,15168016,15274489,15436489,15444448,15778772,15802535,15840229,15892620,15947975,16215704,16476734,16798474,16801861,16861227,16951832,16952128,16984532,17016636,17064018,17120101,17345774,17375004,17595301,17946836,18242667,18381541,18459769,18694021,18787172,18853010,18963042,18997539,19070811,19071144,19137570,19255299,19386452,19392889,19470181,19759934,19850194,20257900,20315641,20413408,20544709,20582612,21179492,21454501,21455037,21830521,21905509,21976382,22428409,22484414,22575050,22577161,22623612,22727636,22922975,22965084,23084132,23275655,23328254,23551064,23610361,23677652,23756809,23802891,23997820,24000734,24048841,24309480,24503582,24598779,24989989,25143935,25331055,25420261,25453412,25581395,25719027,25838174,25918969,25930112,26060809,26079027,26202361,26279636,26414149,26494947,27019792,27090060,27185161,27348165,27507570,27572699,27692372,27924632,27930786,28208467,28222501,28279652,28336775,28357420,28496389,28797384,28837129,28896064,28972921,28990059,29171376,29341408,29647561,29982181,30153572,30172722,30315001,30397266,30579961,30598814,30697674,31171909,31415211,31496087,31498249,31553636,31628281,31952101,32123247,32209861,32338309,32397057,32508072,32693582,32797059,32817798,33009084,33520011,33592636,33811454,33919609,34004130,34028904,34282600,34416121,34511975,34605614,34724101,34785481,34812771,34846789,34969189,34996515,35610836,35757769,35793131,35878009,36057829,36271072,36544850,36571581,36778115,36829561,37240069,37329616,37414921,37473061,37531129,37748355,37820389,37848239,37901774,38222329,38282517,38352935,38567925,38584595,38620741,38767832,38959429,39127801,39389570,39400292,39794809,39904775,40264912,40297810,40427732,40510600,40572051,40769636,40804956,40883449,41044261,41139120,41151109,41153555,41257669,41266491,41286782,41414370,41443415,41443775,41575621,41628361,41634339,41943289,41995818,42047689,42099781,42247892,42307429,42719269,42759752,42815012,43268132,43428901,43613811,43828069,43853820,43877641,43881728,43891939,43946852,44075209,44133738,44175328,44303582,44709349,44751134,44853961,44902021,44994410,45045769,45048782,45130659,45141241,45298026,45302015,45574425,45754789,45894649,46023522,46110147,46281510,46301514,46356169,46538761,46777408,47124229,47267484,47390341,47478469,47883092,47885730,47989480,48001189,48044281,48104721,48215929,48343909,48346179,48357372,48555769,48612720,48665636,48712515,48888932,48891001,48907895,48974089,49094507,49126775,49155374,49303561,49366944,49384266,49558052,49668709,49697244,49732098,49732530,49732814,49948681,50026479,50107081,50146501,50209107,50337236,50536741,50670692,50881801,50915571,51078112,51108601,51406969,51591109,51593582,51853568,51960016,52001636,52309669,52316504,52344841,52589029,52624584,52660707,52726981,52806255,53048032,53066821,53100409,53167369,53327972,53333509,53497849,53726975,53730584,53837602,53853061,53884921,53987379,53988165,53993292,54362418,54507001,54537349,54596531,54627961,54687134,54688009,54689310,54781895,54826094,54895909,54979412,55071301,55120850,55129189,55215481,55329529,55439315,55470469,55498441,55530015,55537812,55637221,55692229,55746949,55857236,55936201,56046291,56326672,56355529,56551832,56623652,56926021,57068581,57138889,57162181,57170132,57216995,57267525,57438974,57462876,57554975,57568300,57587376,57591049,57612901,57973369,58055161,58115749,58155781,58254601,58332361,58335264,58455018,58558729,58613701,58625151,58649989,58689474,58703881,58739449,58809721,58856067,58912969,58952130,59079289,59130836,59143801,59202657,59232016,59345509,59390329,59419849,59463589,59604709,59679036,59828089,59865349,59889829,59914021,59961541,60019321,60030661,60041929,60118789,60129481,60181861,60242341,60271609,60290761,60433609,60446907,60532382,60536101,60606661,60613775,60766424,60797774,60816901,60824389,60835081,60838501,60841849,60848329,60900601,60905029,60907621,60911941,60915721,60917881,61026927,61081172,61085360,61458734,61836836,62086295,62116094,62160212,62320515,62493819,62702770,62865944,62882272,63128612,63160382,63367506,63620811,63987236,64050866,64195454,64271625,64360779,64472370,64736852,64785798,65029155,65531914,65627172,65738274,66145020,66475216,66527178,66636018,66721775,66919259,68175625,68362227,68410186,68461412,68556400,68660394,68721030,68770528,69065970,69081960,69364432,69478382,69621827,70045652,70090382,70135010,70185052,70519832,70554688,70724187,70742556,70807715,70916195,71062094,71097812,71781855,72010491,72251492,72607619,72736530,72740414,73018387,73275815,73283091,73296932,73302432,73451054,73505636,73670368,73687424,74110371,74135495,74278666,74503554,74547236,74784618,75089054,75243324,75820515,76012382,76441367,76567312,76608051,76619975,76643871,76812734,76910860,76926494,77096859,77125950,77366844,77417432,77585632,77717205,77731899,77943854,78034986,78104024,78128907,78193171,78259850,79171454,79334811,79374024,79502372,79723694,79943582,79989459,80014292,80066130,80164245,80507495,80719954,80875216,80904579,81035732,81239636,81358814,81574382,81789374,81810750,81952292,82120402,82257236,82267680,82465236,82676495,82879164,82898352,84162012,84585572,84738782,84945134,84969258,85099434,85403872,85508528,85726775,85764782,85793636,85968254,86063615,86138226,86604819,87028835,87077054,87094611,87097172,87237339,87241775,87264800,87283836,87752192,87867027,87930978,88381667,88878979,88962594,89242382,89295777,89489492,89985572,90084692,90149147,90364184,90397419,90413619,90943827,90962174,90984618,91109788,91150382,91431614,91618382,91714904,91781975,91804574,91943970,92293032,92537975,92551140,93182654,93209055,93260646,93617020,93724814,93911820,94183971,94218836,94254611,94511972,94528334,95189962,95433625,95681636,96079356,96167636,96197094,96314975,96340972,96608994,96846692,97094744,97206734,97393750,98041214,98073568,98172900,98296532,98721216,99211794,99265934,99422992,99666359,99852459,...,38621313774286921378913407789339662166114524947232546113566428333165378235997601333354907002920306280466255593619295065022399207786762901150998438424943733984605232001825825064269112742482593013446969743922590781844671504814632272139300912684380173775350758095995402259264364031586598718568907833158684416821915004508459950630897410070852441788604323692080556933398728365542186148171695093515570489768463922536234862476791667307911566109992869160559123923981039657558822665676940552402314732543259843528904133221642367912239835674928053551854732474528164089953693020491900543551475007803674550597745663931366068315556681529543467739775774171139867836136321479074079538216035310910993897733062602188557046534975047029181447542565421517785876756137269612600934079811442592841740328410712286949846970543215172391353615141487710208909615616206215388957471639434066792571816667297718463213517378148180260172196255445915788336447631286622941484447070080511718300104694368539779425714238149652268367105888836011442238073172782210375164384112563887994245035981364883154900008791356977759065430179069579270759861281703461234103493252424944631669640097371394353763006231555818660204855820483861963480926966463308176722352086099177172128818901248643570242493559647989790493419954458317309171400874713092878494035529636331732393685288027154912751180115954060163624720877818747851771594022265534999496967906286916155548347980287248552537770109263231442877980908440851664375729983901649245205773560397108561665886177314593333331863322993317697803667592665007403105197197779898331716895968324750273398945286212838260993219991884324604613249640731859760611697074806619084670794372347179035815870563828063702448907722728657260852586556993528345654100287906180944338112925391802573043352537574524655357482094542828223478397526663650218347183215438232678846084802662754958180382982727365336262954622972838334368238666908348493493545892402418575111164468589225287248226663023650674015297028529201998411063467679975062805587846430166515015815605119838895078238749683777616481810833695805168807215541465351036018177722985261808490811698684412744358478485898308342865182193193213813782943136321254234821252247355088698243558360106941721311408527035647535926788670734778256002597006808879307486544815664671636464708220534690228545998064598443959678984919831300270517420381395429923726206695632528929129333817228409108061001161851444543423353765784435596171497195572987633355664908903031411692179529505184036}
15611  4037253389723660132151569705902913635773853972595397104241101844: {62428,327621,390025,468030,499232,561636,1792045,2150454,2508541,2880265,2914021,3123741,3256429,3443401,3456318,3583630,3656365,4145078,4300356,4387638,4513701,5267054,5309029,5769421,5827294,5869513,5921540,6133165,6803653,7017109,7105848,7277421,7359798,7417508,7994079,8242030,8289092,8376861,8445865,8753545,8913476,9366518,9501661,9890436,9933022,10086109,10135038,10377853,10504254,10532756,10596440,10749565,11367781,11607253,11841560,11920995,12114229,12174958,12468181,12586045,12715728,12740061,12891565,12899478,13233901,13272014,13321755,13380740,13513892,13807165,13980349,14002441,14188741,14209872,14305194,14331421,14832853,14833112,14873545,14967758,15084344,15103254,15170061,15185269,15438981,15469878,15976173,15986106,16056888,16079734,16568598,16581790,16687251,16780341,16799821,16969887,17152045,17558101,17606665,17685253,17824664,17848254,17861732,17909545,18063999,18235261,18328502,18478249,18649173,18960020,19181181,19305560,19723465,19865775,19898148,20052747,20269630,20347561,20582454,20607181,21127998,21189790,21190160,21230665,21270795,21491454,21615781,21678094,21718755,21784381,21886021,22091781,22433545,22481636,22688848,22752024,23166672,23483965,23639869,23642318,23668158,23838930,24233065,24253174,24323556,24434053,24715101,25197711,25284056,25322375,25324189,25330052,25427748,25428192,25476798,25510861,25516760,25524954,25554553,25596027,25673732,25728265,26018661,26062506,26156782,26340301,26474365,26601481,26670061,26920254,27001453,27374101,27536041,28180758,28279515,28409545,28444563,28606716,28706355,28855165,29079678,29357581,29438830,29597065,29639901,29775291,29997275,30164816,30386850,30620112,30873918,31737188,31769238,31816765,31937149,32412640,32663414,32798372,32849545,32964573,33393253,33712789,33726621,33774740,33862575,33921853,33935418,34091454,34292036,34434334,34447626,34615465,34626198,34772036,34905790,34992381,35231798,35326596,35349565,35446775,35516478,35651054,35996730,36001101,36120080,36464220,36676760,36755373,37241048,37414783,37521109,37691965,37719781,38180118,38386381,38396512,38482429,38637901,38653412,38757261,38895168,39419454,39441961,39442045,39642181,39873781,39987433,40230296,40384069,40529688,40635090,40716709,40930232,41261355,41490254,41538558,41886948,41896179,41990795,42140278,42378589,42419478,42536130,42830996,42853250,43196076,43344096,43719133,43729412,43757064,43797253,44012112,44513545,44575894,44693348,45161581,45230358,45259083,45338840,45364429,45371872,45465014,45595899,45695749,45776941,45898221,46046511,46382521,46417028,46564022,46599454,46662020,47014261,47312341,47330454,47351029,47425801,47720413,47729998,48459790,48686101,48762108,48800053,48910153,49040373,49226697,49250365,49285838,49334461,49482853,49513626,50101801,50331140,50388954,50530681,50534665,50638250,50717181,50962045,51006195,51043356,51323941,51423900,51700141,51828014,51908421,52201774,52303669,52419613,52633141,52809865,52909453,53170621,53416254,53449690,53518765,53605513,53931133,54085165,54096068,54180901,54406608,54817275,54852160,54933565,55007701,55021988,55178821,55219160,55512452,55594429,55890229,55994424,56579941,56852661,57107198,57822601,58151748,58165814,58471760,58698349,58844984,59084355,59100438,59853865,59986850,60174212,60186709,60397368,60446715,60641598,60693878,60765900,60832045,60844921,61111165,61154454,61207434,61233853,61364696,61480196,61495621,61536121,61704853,61708680,61735352,61805341,61930173,61947565,62121555,62250733,62476381,62921545,62993727,63021998,63023312,63338365,63371838,63444718,63847640,64109221,64139628,64222518,64432694,64461572,64476496,64642441,64816960,64902198,64950020,65002045,65317141,65395630,65586421,65780730,65822592,65845688,65920278,66200607,66262992,66309464,66310040,66455373,66659965,66701972,66747934,66945476,66996398,67042789,67126701,67163230,67173181,67491615,67573173,67740253,67887428,67947039,67994293,68341021,68544901,68724265,68863294,69035283,69095209,69422265,69452271,69736621,69821545,70016654,70166112,70214276,70408340,70514053,70689790,70765814,70779565,70901226,71136061,71462665,71824638,71828595,71960375,71983172,71984220,71991056,72119653,72483224,72536058,72919080,72998454,73150201,73212469,73333398,73605061,73733061,73913545,74040020,74050416,74076399,74337078,74545866,74598147,74598795,74599221,74602558,74624581,74728388,74819962,74846701,74852221,75505854,75958030,76006038,76351465,76356700,76599013,76617168,76769869,76783168,77092741,77296045,77390373,77700265,77780352,77940024,78002454,78166868,78234238,78252632,78309421,78474756,78582430,78602840,78910765,78936876,79068661,79485001,79572048,79672549,79782853,79793101,79984045,79991958,80165461,80199781,80250541,80411701,80428654,80595876,80756403,80757622,80839849,80895853,80921065,80989938,81369236,81543627,81612182,82030701,82033965,82060261,82239141,82327753,82469118,82681275,82889389,82922869,83094020,83306718,83325092,83785854,83937769,84373453,84490008,84494509,84827748,84935478,84957901,85169533,85250749,85460149,85576765,85695500,85755198,85814372,85884901,85963160,85978621,86158461,86194314,86352450,86381064,86705540,86720749,86737981,86995118,87502896,87557065,87622621,87651032,87682527,87731315,88034211,88149790,88193360,88424713,88428195,88467253,88588982,88696254,88702904,88775293,88848024,88872265,89050381,89132654,89518554,90223534,90314365,90572078,90573901,90621541,90716041,90717022,90796741,90798573,91149636,91196661,91377853,91461241,91547192,91621165,91621758,91628040,91860301,91882045,92072509,92087960,92109280,92188101,92755254,93174141,93184045,93240318,93803518,93943981,94054155,94079029,94298916,94323408,94692918,94740573,94778653,95001253,95051259,95554838,95709140,95980854,96013988,96025438,96076299,96138575,96293181,96427981,96708555,96771790,96918238,96938941,96982040,97105278,97161253,97178697,97265054,97630030,97634869,97710788,97736576,98130998,98297871,98440758,98581801,98607411,98813828,98929141,99213481,99217530,99313933,99326653,99334453,99338072,99377965,99460501,99712824,99790767,99954027,...,57931970661430382068370111684009493249171787420848819170349642499748067353996402000032360504380459420699383390428942597533598811680144351726497657637415600976907848002738737596403669113723889520170454615883886172767007257221948408208951369026570260663026137143993103388896546047379898077853361749738026625232872506762689925946346115106278662682906485538120835400098092548313279222257542640273355734652695883804352293715187500961867349164989303740838685885971559486338233998515410828603472098814889765293356199832463551868359753512392080327782098711792246134930539530737850815327212511705511825896618495897049102473335022294315201609663661256709801754204482218611119307324052966366490846599593903282835569802462570543772171313848132276678815134205904418901401119717163889262610492616068430424770455814822758587030422712231565313364423424309323083436207459151100188857725000946577694820276067222270390258294383168873682504671446929934412226670605120767577450157041552809669138571357224478402550658833254017163357109759173315562746576168845831991367553972047324732350013187035466638598145268604368906139791922555191851155239878637416947504460146057091530644509347333727990307283730725792945221390449694962265083528129148765758193228351872965355363740339471984685740129931687475963757101312069639317741053294454497598590527932040732369126770173931090245437081316728121777657391033398302499245451859430374233322521970430872828806655163894847164316971362661277496563594975852473867808660340595662842498829265971889999997794984489976546705501388997511104657795796669847497575343952487125410098417929319257391489829987826486906919874461097789640917545612209928627006191558520768553723805845742095553673361584092985891278879835490292518481150431859271416507169388087703859565028806361786983036223141814242335217596289995475327520774823157349018269127203994132437270574474091048004394431934459257501552358000362522740240318838603627862666746702883837930872339994535476011022945542793802997616595201519962594208381769645249772523723407679758342617358124525666424722716250543707753210823312198026554027266584477892712736217548026619116537717728847462514297773289789820720674414704481881352231878371032633047365337540160412581967112790553471303890183006102167384003895510213318961229817223497007454697062330802035342818997096897665939518477379746950405776130572093144885589310043448793393694000725842613662091501742777166815135030648676653394257245793359481450033497363354547117538269294257776054}
15612  4055149543908154402452959297388274669930661756168136261794006567: {78035,93642,171611,436828,451907,483011,624040,669467,702045,748848,824627,842454,903698,948611,1103411,1276658,1566611,1835018,2150747,2334611,2577482,2670947,2867272,3067187,3225681,3249611,3502322,3522707,3674147,3855611,4036787,4164988,4239602,4308011,4338107,4488467,4607378,4608424,4788587,5157962,5184477,5326787,5375445,5386427,5733808,5773307,5850184,6018268,6072722,6217617,6365867,6450534,6581457,6660947,6983882,7013987,7165682,7401925,7424411,7710218,7862411,7900581,8614898,8740941,8882310,8992787,9271885,9474464,9515978,9625067,9703228,9813064,9882611,10053947,10196507,10361365,10592522,10658772,10906307,11039697,11047667,11126262,11141845,11169148,11301611,11414267,11663882,12255107,12363045,12433638,12589427,12672827,12978011,12978973,13165945,13187248,13198801,13245550,13370214,13513384,13614578,13640507,13967378,14005672,14049777,14380307,14489411,14495498,14801950,14835654,14870267,14897411,14899533,15197642,15202557,15276587,15303611,15372818,15438611,15465587,15546467,15596581,15756381,15799134,15869267,15894660,16083827,16271147,16644611,16725925,16769042,16804187,16892365,16954304,16986748,17043011,17199304,17201867,17307611,17597747,17762340,17810162,18262437,18462347,18488411,18541390,18852467,18855430,18946496,19073592,19190258,19349217,19395611,19533842,19705418,19852742,19908021,20071110,20137672,20226748,20270838,20394947,20573027,20585308,20626504,20649227,21301564,21314808,21409184,21413258,21457791,21558011,22091464,22092362,22123549,22158107,22207907,22249668,22280830,22327165,22373788,22431611,22451637,22580387,22626516,22654881,23204817,23611922,23638187,23700025,23760227,23797672,23979159,24052307,24085332,24119601,24131950,24294827,24451082,24657107,24785738,24852897,24865564,24872685,25137347,25233011,25286642,25453322,25574908,25590611,25922747,26064611,26118602,26394214,26418011,26441507,26487700,26530864,26736996,26772381,26781578,26792598,26979707,27142667,27212387,27443272,27492753,27607058,27936242,28102045,28170664,28249547,28361060,28363787,28428938,28440030,28523387,28592882,28655272,28756682,28864067,28958340,29067611,29455708,29651987,29736458,29847222,30319547,30336032,30404445,30408011,30548978,30872978,30873681,30888896,31394411,31524707,31557544,31605070,31633067,31662565,31680458,31691997,31784685,31785240,31895950,32092165,32150411,32237181,32431408,32517141,32585917,32811827,32953468,33297587,33596948,33603722,33612107,33722454,33903664,33904256,33924827,33969064,34033272,34128036,34173707,34240202,34442027,34565411,34691548,34749947,34750008,34790867,34994987,35056067,35190602,35201509,35463477,35502237,35758395,35763347,35783411,35813953,35893672,35903627,36379761,36485334,36763082,36919538,36953027,37382027,37388042,37556411,37574344,37706020,37826387,37845611,37926084,37941611,37995078,38056547,38141622,38142288,38215197,38275140,38287431,38510598,38772904,38785778,38871827,38940362,38984411,39093759,39235173,39519868,39635411,39671485,39700388,39746027,39911411,40380381,40515800,40631282,40826816,40836347,40908011,40997965,41015267,41089418,41157827,41165224,41175611,41264411,41282147,41950187,42071987,42124067,42218425,42271137,42300973,42358984,42383387,42486611,42726347,42743411,42865045,42909002,42910074,42998411,43465045,43503011,43603067,43619517,43661042,43736027,43811018,43835411,43851947,43952764,44148227,44158245,44716907,44729737,44856818,44968828,45069347,45148907,45150100,45154322,45247224,45455272,45528011,45580275,45762611,45845950,45855947,45918011,45930168,46168264,46310877,46551310,46592267,46656508,47102128,47147267,47220722,47355304,47413307,47513618,47605782,47653857,47937611,47995640,48001468,48067067,48097682,48138707,48238667,48316765,48352427,48366611,48522107,48618960,48913547,48995121,49007164,49148147,49197558,49610411,49677611,49757987,49878011,49957667,49979978,50129267,50287870,50662110,50840522,50903127,50903747,50906824,51055187,51117947,51137181,51162790,51305027,51416411,51428747,51438054,51465707,51489361,51600611,51649427,51651501,51671439,51676348,51837938,51860224,51939297,51975587,52083011,52121618,52158054,52358685,52404722,52424747,52506227,52559272,52828298,52847697,52907747,52989894,53054387,53121611,53188547,53274717,53476581,53508011,53538745,53605787,53681387,53694109,53895227,53995095,54018433,54032507,54039584,54180120,54370322,54547907,54558011,54661765,54696330,54698627,54768347,55015140,55145398,55235867,55293011,55349867,55378187,55384744,55481411,55518707,55620611,55703267,55712411,55849264,55861572,55866685,55947347,56237747,56416934,56426507,56445002,56451947,56544611,56559304,56669411,56673550,56714840,56824907,56841107,56913611,56992778,56993411,57080267,57181667,57220307,57270177,57387947,57594768,57603011,57614977,57674258,57711611,57792128,57930347,57945842,57951107,57980118,57992411,58020781,58021285,58026611,58094411,58134707,58194611,58266947,58327525,58342752,58351187,58361809,58421411,58552787,58571267,58577411,58668611,58682816,58752107,58880147,59097611,59129181,59282411,59295122,59363627,59388587,59403467,59408411,59476787,59622611,59663507,59685947,59752067,59845787,59883011,59903411,59907467,59964362,59979107,59986907,60059411,60110987,60199187,60236411,60256307,60304787,60307144,60345347,60345444,60390467,60504611,60557867,60616667,60630002,60660107,60698411,60724787,60742667,60763067,60794507,60794532,60807611,60833147,60853547,60872627,60879347,60892427,60908987,60931427,60933347,60952635,61159922,61197628,61395348,62235381,62307837,62343818,62830422,62913925,62992174,62996498,63107272,63210417,63256562,63422821,63629217,63804195,63904202,64246494,64279875,64419722,64523173,64676618,64794114,65016144,65387164,65594118,65635596,66018168,66863841,67040022,67185272,67620085,67622908,67839218,67845537,68008260,68057808,68197521,68471053,68565200,68777485,68832242,69023950,69211228,69390565,69448202,69570962,69625542,69693578,69846033,69899181,69938378,69993030,70995681,71221672,71515538,71586262,71594997,71756018,72115658,72542144,72689685,73089700,73143162,73556230,73659122,73928757,74270439,74480138,74659232,74792113,74829842,74946122,75062258,75217765,75496710,75583431,75640778,75696478,75803548,75957375,76444658,76565034,76694653,76705870,76850245,77135850,77169190,77241482,77535664,77615041,77742021,77918858,78255602,78302661,78779140,78800584,79086397,79589618,79809550,80103793,80124381,80174535,80529824,80576965,80595620,80855464,81021200,81144102,81187525,81539272,81609912,81766898,82088522,82278240,82280341,82302218,82307110,82515338,82532982,82573564,82828740,82886830,82887550,83151242,83256722,83268678,83377465,83681845,83886578,83991636,84095378,84199562,84495784,84614858,84859285,85434469,85438538,85519504,85630024,85660797,86536264,86857802,86920813,87227622,87248721,87656138,87707640,87755282,87763456,87767845,87783878,87893704,88010425,88150418,88267476,88350656,88607164,88650657,89418698,89502268,89707922,89804042,89978965,89980275,89988820,90091538,90097564,90261318,90282482,90596052,90604030,90962397,91040817,91148850,91509578,91731681,91789298,91811151,92047044,92220294,92550025,92563020,92603028,92712338,93077522,93410485,93554816,94248458,94532997,94534968,94780682,94956938,95057757,95167077,95445875,95766184,95771460,95978960,96002378,96088562,96209442,96333777,96431858,96649041,96687818,96692358,96714744,97111538,97225440,97331272,97353297,97425030,97708585,97777864,97782002,97815790,97948178,98093445,98189014,98253550,98310748,98607122,98671095,98733888,98768532,98880417,99116104,99130801,99282673,99337418,99394488,99464196,99465060,99465628,99897362,...,86897955992145573102555167526014239873757681131273228755524463749622101030994603000048540756570689131049075085643413896300398217520216527589746486456123401465361772004108106394605503670585834280255681923825829259150510885832922612313427053539855390994539205715989655083344819071069847116780042624607039937849308760144034888919519172659417994024359728307181253100147138822469918833386313960410033601979043825706528440572781251442801023747483955611258028828957339229507350997773116242905208148222334647940034299748695327802539630268588120491673148067688369202395809296106776222990818767558267738844927743845573653710002533441472802414495491885064702631306723327916678960986079449549736269899390854924253354703693855815658256970772198415018222701308856628352101679575745833893915738924102645637155683722234137880545634068347347970046635136463984625154311188726650283286587501419866542230414100833405585387441574753310523757007170394901618340005907681151366175235562329214503707857035836717603825988249881025745035664638759973344119864253268747987051330958070987098525019780553199957897217902906553359209687883832787776732859817956125421256690219085637295966764021000591985460925596088689417832085674542443397625292193723148637289842527809448033045610509207977028610194897531213945635651968104458976611579941681746397885791898061098553690155260896635368155621975092182666486086550097453748868177789145561349983782955646309243209982745842270746475457043991916244845392463778710801712990510893494263748243898957834999996692476734964820058252083496266656986693695004771246363015928730688115147626893978886087234744981739730360379811691646684461376318418314892940509287337781152830585708768613143330510042376139478836918319753235438777721725647788907124760754082131555789347543209542680474554334712721363502826394434993212991281162234736023527403690805991198655905861711136572006591647901688886252328537000543784110360478257905441794000120054325756896308509991803214016534418314190704496424892802279943891312572654467874658785585111519637513926037186788499637084074375815561629816234968297039831040899876716839069104326322039928674806576593271193771446659934684731081011622056722822028347817556548949571048006310240618872950669185830206955835274509153251076005843265319978441844725835245511182045593496203053014228495645346498909277716069620425608664195858139717328383965065173190090541001088763920493137252614165750222702545973014980091385868690039222175050246045031820676307403941386664081}
15613  4073124401757850719660528209424000267534169232739320977635622284: {124856,140463,546035,655242,780050,936060,998464,1123272,1263681,1355547,1914987,2508863,2752527,3256847,3443843,3584090,3848507,3866223,4032371,4300908,5017082,5118911,5206235,5253483,5760530,5828042,6247482,6274307,6359403,6512858,6886802,6911067,6912636,7167260,7312730,7359407,7522835,7736943,8290156,8292947,8586431,8600712,8775276,9027402,9109083,9675801,9786611,10428011,10475823,10534108,10618058,10748523,11093567,11538842,11565327,11654588,11739026,11824211,11843080,11919947,12129035,12254963,12266330,12705167,12922347,13323465,13607306,13961435,14034218,14211696,14273967,14554842,14719596,14735123,14835016,14944511,15049391,15649787,15888783,15988158,16484060,16578184,16689393,16753722,16891730,17495823,17507090,17620463,17826952,17946227,18048191,18576107,18650457,18733036,19003322,19330031,19379627,19752611,19765871,19780872,19866044,19868325,20055321,20172218,20270076,20421867,20750483,20755706,20822963,20951067,21008508,21065512,21192880,21233435,21499130,21550763,21743247,22202925,22253481,22735562,22796463,23059227,23214506,23683120,23698701,23841990,24012863,24228458,24349916,24460847,24649331,24936362,25073363,25153563,25172090,25283435,25431456,25480122,25545923,25664111,25731635,25783130,25798956,26467802,26544028,26626955,26643510,26715243,26761480,27027784,27128243,27612851,27614330,27682127,27812085,27938027,27960698,27967235,28004882,28183487,28283145,28377482,28419744,28560971,28610388,28662842,28709423,28785387,29300763,29558127,29665706,29666224,29722931,29731067,29747090,29779113,29928587,29935516,30106665,30168688,30206508,30340122,30370538,30406257,30877962,30939756,31081955,31406963,31519163,31952346,31968635,31972212,32113776,32119887,32159468,32836787,32877551,33109625,33137196,33138543,33163580,33374502,33421245,33560682,33599642,33926291,33939774,34139711,34304090,34564883,34695323,35116202,35213330,35370506,35417883,35451325,35649328,35696508,35722511,35723464,35819090,36019571,36127998,36197925,36470522,36657004,36676623,36819635,36956498,37064111,37178607,37298346,37321871,37920040,37929963,38179983,38362362,38611120,38724587,38793011,39177903,39351407,39446930,39591321,39731550,39773363,39796296,39842387,40105494,40172367,40188897,40397231,40539260,40695122,40722011,41164908,41191835,41206691,41214362,41410587,41435891,41904363,41996185,42255996,42379580,42380320,42461330,42541590,42643407,42660045,42745187,42889323,42982908,43135023,43231562,43356188,43364435,43437510,43568762,43772042,44183562,44305967,44543471,44577923,44604687,44770833,44867090,44963272,45297731,45365723,45377696,45504048,45701711,45823467,45989363,46309467,46333344,46967930,47132525,47279738,47284636,47336316,47407605,47520687,47579003,47677860,47688047,47726627,47843925,48119747,48461651,48466130,48506348,48645083,48647112,48868106,48949871,49396847,49399835,49430202,49489391,49625485,50083787,50181827,50395422,50405583,50568112,50583681,50644750,50648378,50660104,50855496,50856384,50953596,51021722,51033520,51049908,51109106,51192054,51347464,51360303,51456530,52037322,52125012,52283267,52313564,52640027,52680602,52768751,52785903,52948730,53005307,53156483,53202962,53340122,53612507,53619647,53840508,54002906,54004067,54728001,54748202,54940955,55015643,55072082,55144623,55218863,55379307,55601711,55759307,55960307,56082063,56211035,56361516,56437625,56475467,56559030,56819090,56889126,56992617,57212433,57213432,57412710,57710330,57765897,57835823,58159356,58178667,58279043,58304363,58320635,58410543,58715162,58787113,58877660,58967603,59194130,59279802,59550582,59994550,60001835,60329632,60773700,60946923,61240224,61258955,61634127,61670447,61747836,61813427,62202803,62318963,62378411,62746511,63474376,63538476,63633530,63874298,64363503,64365111,64537883,64595435,64825280,65326828,65491563,65596744,65699090,65702507,65716527,65929146,66543887,66786506,66867203,67285227,67425578,67453242,67549480,67725150,67731483,67843706,67870836,68003147,68182908,68353307,68503343,68584072,68768925,68868668,68895252,68950511,69230930,69252396,69544072,69811580,69826965,69984762,70239131,70444607,70463596,70653192,70699130,70748531,70831083,70893550,71032956,71129747,71270427,71302108,71346863,71408673,71993460,72002202,72137171,72146523,72240160,72465707,72676643,72928440,73353520,73510746,73670843,73796337,73835723,73933811,74482096,74564387,74829566,74926271,74969967,75042218,75383930,75431805,75439562,75678443,75719231,75765443,75993165,76260783,76360236,76497035,76609007,76744185,76772762,76793024,76906991,76964858,77102927,77157081,77275802,77306824,77514522,77756907,77790336,78182427,78237081,78260291,78607083,78838908,78883922,78884090,79232387,79242447,79284362,79484841,79747562,79793291,79974866,80460592,80768138,80906387,81059376,81270180,81433418,81555483,81733955,81756107,81860464,81866831,82044495,82423643,82522710,82718097,82980508,83077116,83773896,83792358,83795411,83981590,84280556,84334223,84528635,84625401,84667503,84757178,84838956,85010325,85049051,85072260,85079507,85164863,85489167,85555631,85661992,85706500,86143427,86392152,86415011,86511387,86514035,86523827,86688192,86726591,86918763,86967887,86970177,87418811,87438266,87458824,87514128,87594506,88024224,88090163,88673711,88942683,89027090,89151788,89163587,89169071,89260427,89386696,89628011,89946543,90323162,90460716,90518166,90677680,90728027,90728858,90743744,90930028,90945003,91002863,91109603,91130111,91191798,91362125,91391498,91553882,91739883,91796442,92013371,92093022,92155391,92765042,92834056,92955803,93128044,93198908,93323951,93324040,93515727,93895727,94028522,94067387,94158467,94245633,94409711,94488261,94494747,94624682,94660908,94702058,94754435,94851602,94884843,94897727,95193611,95440826,95459996,95483327,95856303,95989007,96213971,96369741,96629583,96919580,97014927,97191171,97372202,97524216,97559123,97600106,97750163,97820306,97960187,98043131,98080746,98391177,98453394,98473925,98500730,98571676,98668922,98965706,99027252,99091391,99339587,99633263,99857147,...,115863941322860764136740223368018986498343574841697638340699284999496134707992804000064721008760918841398766780857885195067197623360288703452995315274831201953815696005477475192807338227447779040340909231767772345534014514443896816417902738053140521326052274287986206777793092094759796155706723499476053250465745013525379851892692230212557325365812971076241670800196185096626558444515085280546711469305391767608704587430375001923734698329978607481677371771943118972676467997030821657206944197629779530586712399664927103736719507024784160655564197423584492269861079061475701630654425023411023651793236991794098204946670044588630403219327322513419603508408964437222238614648105932732981693199187806565671139604925141087544342627696264553357630268411808837802802239434327778525220985232136860849540911629645517174060845424463130626728846848618646166872414918302200377715450001893155389640552134444540780516588766337747365009342893859868824453341210241535154900314083105619338277142714448956805101317666508034326714219518346631125493152337691663982735107944094649464700026374070933277196290537208737812279583845110383702310479757274833895008920292114183061289018694667455980614567461451585890442780899389924530167056258297531516386456703745930710727480678943969371480259863374951927514202624139278635482106588908995197181055864081464738253540347862180490874162633456243555314782066796604998490903718860748466645043940861745657613310327789694328633942725322554993127189951704947735617320681191325684997658531943779999995589968979953093411002777995022209315591593339694995150687904974250820196835858638514782979659975652973813839748922195579281835091224419857254012383117041537107447611691484191107346723168185971782557759670980585036962300863718542833014338776175407719130057612723573966072446283628484670435192579990950655041549646314698036538254407988264874541148948182096008788863868918515003104716000725045480480637677207255725333493405767675861744679989070952022045891085587605995233190403039925188416763539290499545047446815359516685234716249051332849445432501087415506421646624396053108054533168955785425472435096053238233075435457694925028595546579579641441348829408963762704463756742065266094730675080320825163934225581106942607780366012204334768007791020426637922459634446994014909394124661604070685637994193795331879036954759493900811552261144186289771178620086897586787388001451685227324183003485554333630270061297353306788514491586718962900066994726709094235076538588515552108}
15614  4091178306663015496089403729486145583515095881321469919507895335: {109249,156070,187284,202813,343222,483073,873656,903814,966022,982863,1134493,1170075,1248080,1338934,1404090,1497696,1597633,1649254,1684908,1807396,1897222,2206822,2518513,2553316,3133222,3432193,3670036,3704893,4301494,4338673,4669222,4699249,5148349,5154964,5341894,5376135,5684893,5734544,6041149,6134374,6396253,6451362,6499222,7004644,7045414,7348294,7525623,7711222,7892593,8073574,8154493,8329976,8479204,8616022,8640795,8676214,8742063,8959075,8976934,9022813,9214756,9216848,9371223,9454273,9577174,9769287,10311793,10315924,10330203,10362695,10368954,10653574,10750890,10772854,10822849,10969095,11467616,11546614,11668849,11700368,12036536,12145444,12435234,12731734,12901068,12924349,12980639,13007473,13162914,13167635,13321894,13541103,13967764,14027974,14331364,14505911,14568235,14803850,14848822,14899453,15305713,15420436,15467713,15598583,15724822,15801162,15927087,16673533,17229796,17308263,17468413,17481882,17608539,17764620,17985574,18399495,18432323,18490993,18543770,18881053,18948928,19031956,19250134,19406456,19626128,19765222,20107894,20393014,20410959,20605075,20722730,20738311,20804353,21051327,21185044,21317544,21561073,21711553,21812614,21832263,22079394,22095334,22252524,22283690,22338296,22603222,22828534,23327764,23416295,23568253,23649311,23982237,24152893,24510214,24660673,24726090,24832555,24867276,25130583,25178854,25337595,25345654,25956022,25957946,26260635,26331890,26374496,26397602,26445373,26491100,26740428,27026768,27076849,27229156,27281014,27425149,27934756,28011344,28099554,28504983,28760614,28800349,28978822,28990996,29544433,29603900,29671308,29740534,29794822,29799066,30258327,30395284,30405114,30437395,30478849,30553174,30607222,30745636,30877222,30931174,31092934,31133559,31137649,31193162,31258031,31512762,31598268,31738534,31789320,32112349,32167654,32248695,32433649,32542294,33007453,33180035,33289222,33323713,33451850,33538084,33608374,33784730,33908608,33973496,34086022,34103343,34323649,34398608,34403734,34615222,34821759,34939249,35195494,35524680,35620324,35762985,35788993,36208573,36342687,36387313,36446749,36524874,36924694,36976822,37037149,37082780,37404543,37419395,37704934,37710860,37758135,37851613,37892992,38147184,38196349,38220183,38380516,38424733,38481649,38674695,38698434,38791222,39067684,39342863,39382513,39410836,39549373,39701703,39705484,39816042,39965265,40142220,40199335,40275344,40373953,40453496,40541676,40753213,40789894,41146054,41170616,41182333,41253008,41288893,41298454,41421495,41454475,41941047,42007323,42026749,42545149,42566223,42603128,42629616,42750493,42818368,42826516,42915582,42994263,43005553,43116022,43309249,43328527,43610353,43859293,44007793,44182928,44184724,44247098,44302849,44316214,44327591,44415814,44498559,44499336,44561660,44620635,44654330,44747576,44837053,44863222,44903274,44929031,45160774,45253032,45309762,45510183,45555807,45821255,46316943,46409634,46615453,46660849,47223844,47276374,47288833,47400050,47520454,47595344,47772349,47928519,47958318,48104614,48161473,48170664,48239202,48263900,48375133,48589654,48629149,48838849,48902164,49046749,49088113,49314214,49493851,49571476,49619293,49705794,49731128,49745370,49900273,49992059,50061753,50274694,50341023,50399463,50451649,50466022,50573284,50674075,50798653,50906644,50909661,51026749,51149816,51181222,51438193,51456135,51804673,51845494,52129222,52237204,52270333,52516033,52674303,52788428,52792513,52819995,52826749,52836022,52883014,52974475,52975400,52996849,53055759,53061728,53473992,53544762,53563156,53585196,53626813,53691613,53728635,53959414,54191997,54195235,54285334,54424774,54568573,54705783,54886544,54897649,54985506,55214116,55332349,55434747,55540079,55640833,55723453,55872484,55947519,56204090,56257693,56283649,56341328,56437873,56499094,56689153,56722120,56727574,56857876,56880060,57028849,57046774,57185764,57239773,57310544,57397151,57511933,57513364,57543543,57728134,57916680,57921649,58135222,58206913,58402033,58421149,58589953,58608349,58788349,58892893,58911416,59044849,59105795,59170395,59190973,59303974,59361649,59421553,59472916,59509249,59597325,59663293,59694444,59703793,59921053,60011063,60095473,60139249,60158241,60243649,60283393,60624349,60632935,60639094,60672064,60689149,60713053,60741313,60777853,60808890,60816022,60851063,60888733,60907633,60914653,60933373,60934849,60944893,61042683,61097956,61745956,61747362,61777792,61821543,62788822,63049414,63115088,63210140,63266134,63325130,63360916,63383994,63569370,63570480,63691995,63791900,63812385,64184330,64300822,64474362,64847343,64862816,65034282,65156265,65171834,65353143,65391955,65623654,65658063,65906936,66275343,66595174,67193896,67207444,67224214,67300635,67444908,67643471,67807328,67808512,67849654,67938128,68066544,68256072,68347414,68480404,68884054,68973047,69130822,69383096,69499894,69500016,69581734,69989974,70112134,70381204,70403018,70451895,70919607,70926954,71004474,71516790,71526694,71566822,71627906,71787344,71807254,72699195,72759522,72970668,73302159,73526164,73597075,73839076,73906054,74145303,74764054,74776084,74954243,75112822,75148688,75412040,75593133,75652774,75691222,75852168,75883222,75967125,75972567,75990156,76113094,76254659,76283244,76284576,76430394,76526471,76532583,76550280,76574862,76663659,76788081,77021196,77148511,77184795,77545808,77571556,77743654,77880724,77968822,78055983,78187518,78213359,78470346,79020903,79039736,79270822,79342970,79400776,79423095,79492054,79804443,79822822,80010183,80760762,81004359,81031600,81229799,81262564,81653632,81658535,81672694,81816022,81995930,82030534,82122303,82178836,82315654,82330448,82351222,82528822,82564294,82608123,83900374,84143974,84248134,84436850,84542274,84601946,84717968,84766774,84838545,84973222,85228635,85333689,85452694,85486822,85730090,85818004,85820148,85996822,86085835,86119065,86565495,86930090,87006022,87206134,87239034,87264475,87322084,87472054,87622036,87670822,87703894,87905528,88072743,88079495,88296454,88316490,88390679,88791195,88919703,89127635,89325873,89433814,89459474,89713636,89937656,89991825,90138694,90297814,90300200,90308644,90494448,90910544,91056022,91160550,91525222,91691900,91711894,91836022,91860336,92336528,92621754,93102620,93184534,93313016,94204256,94294534,94441444,94668119,94710608,94826614,95027236,95211564,95307714,95450295,95485583,95811447,95875222,95991280,96002936,96134134,96195364,96277414,96288479,96477334,96633530,96704854,96733222,97044214,97146791,97237920,97240403,97827094,97990242,98014328,98296294,98395116,98548635,98893719,99220822,99355222,99515974,99756022,99915334,99959956,...,173795911984291146205110335052028479747515362262546457511048927499244202061989206000097081513141378262098150171286827792600796435040433055179492972912246802930723544008216212789211007341171668560511363847651658518301021771665845224626854107079710781989078411431979310166689638142139694233560085249214079875698617520288069777839038345318835988048719456614362506200294277644939837666772627920820067203958087651413056881145562502885602047494967911222516057657914678459014701995546232485810416296444669295880068599497390655605079260537176240983346296135376738404791618592213552445981637535116535477689855487691147307420005066882945604828990983770129405262613446655833357921972158899099472539798781709848506709407387711631316513941544396830036445402617713256704203359151491667787831477848205291274311367444468275761091268136694695940093270272927969250308622377453300566573175002839733084460828201666811170774883149506621047514014340789803236680011815362302732350471124658429007415714071673435207651976499762051490071329277519946688239728506537495974102661916141974197050039561106399915794435805813106718419375767665575553465719635912250842513380438171274591933528042001183970921851192177378835664171349084886795250584387446297274579685055618896066091221018415954057220389795062427891271303936208917953223159883363492795771583796122197107380310521793270736311243950184365332972173100194907497736355578291122699967565911292618486419965491684541492950914087983832489690784927557421603425981021786988527496487797915669999993384953469929640116504166992533313973387390009542492726031857461376230295253787957772174469489963479460720759623383293368922752636836629785881018574675562305661171417537226286661020084752278957673836639506470877555443451295577814249521508164263111578695086419085360949108669425442727005652788869986425982562324469472047054807381611982397311811723422273144013183295803377772504657074001087568220720956515810883588000240108651513792617019983606428033068836628381408992849785604559887782625145308935749317571170223039275027852074373576999274168148751631123259632469936594079662081799753433678138208652644079857349613153186542387542893319869369462162023244113445644056695635113097899142096012620481237745901338371660413911670549018306502152011686530639956883689451670491022364091186992406106028456991290692997818555432139240851217328391716279434656767930130346380181082002177527840986274505228331500445405091946029960182771737380078444350100492090063641352614807882773328162}
15615  4109311603500313433437504034554411799231857432780799634642721004: {234105,249712,280926,514833,764449,1092070,1310484,1355721,1449033,1560100,1872120,1996928,2008401,2106135,2246544,2259245,2473881,2527362,2711094,2845833,3191645,3310233,3829974,3849001,3941993,4502909,4587545,4699833,5017726,5505054,6443705,6452241,6513694,6887686,7003833,7168180,7288729,7675517,7697014,7732446,8012841,8064742,8236001,8601816,8697481,8755805,9066233,9201561,9677043,9748833,10034164,10237822,10412470,10506966,10531969,10568121,10599005,10937977,11022441,11518445,11521060,11566833,11656084,12110361,12324013,12425249,12494964,12548614,12718806,12894905,12924033,13014321,13025716,13465401,13773604,13822134,13825272,14334520,14365761,14625460,14664593,14718814,15045670,15181805,15473886,15553431,15980361,16126335,16159281,16580312,16585894,16980649,17172862,17201424,17319921,17459705,17550552,17914205,18054804,18218166,18239969,18652851,18741089,19097601,19275545,19351602,19546009,19573222,19744371,19982841,20716153,20856022,20951646,21041961,21068216,21236116,21275629,21497046,21537245,21953581,22187134,22205775,22273233,22296593,23077684,23130654,23308769,23309176,23478052,23587233,23648422,23686160,23701743,23789945,23839894,24258070,24509926,24532660,25410334,25844694,26222823,26481305,26566697,26608349,26646930,26978361,27214612,27815655,27922870,28068436,28423392,28547934,28875201,29109684,29159705,29439192,29470246,29647833,29670032,29726809,29889022,29920529,30098782,30161841,30319801,30330313,30589521,31084095,31299574,31777566,31976316,32382713,32715241,32718921,32968120,33113875,33119091,33143001,33156368,33378786,33425535,33507444,33783460,33904833,34036445,34242801,34445009,34918445,34991646,35014180,35101393,35240926,35396809,35653904,35892454,36008669,36024289,36096382,36238745,36765321,37004875,37089135,37152214,37277737,37300914,37466072,37768281,37994105,38006644,38018481,38396369,38432045,38451769,38660062,38759254,38934033,38936919,39154129,39497835,39505222,39531742,39561744,39596403,39732088,39736650,39997757,40110642,40344436,40540152,40685353,40843734,40921521,41500966,41511412,41645926,41902134,41922605,42017016,42131024,42149331,42217513,42385760,42466870,42998260,43101526,43140921,43468233,43486494,43514737,44405850,44506962,44525405,44610801,44692233,44698599,44756089,45471124,45592926,45607671,45765421,45829761,45910833,46054537,46118454,46315833,46353475,46396761,46429012,46583993,46639401,46789743,47138575,47269143,47366240,47397402,47607801,47683980,47975645,48025726,48126013,48251481,48456916,48699832,48813441,48834605,48921694,49263545,49298662,49631855,49872724,49933833,50146726,50177775,50307126,50344180,50412561,50566870,50677095,50705021,50862912,50960244,51091846,51129033,51328222,51463270,51547489,51566260,51577949,51597912,51605601,51713489,51922833,52629721,52793241,52923161,52935604,53088056,53253910,53287020,53305769,53430486,53522960,53533145,53945057,54011113,54055568,54256486,54787311,55225702,55228660,55230905,55364254,55387041,55465233,55624170,55702075,55876054,55921396,55934470,56009764,56358601,56366974,56557401,56566290,56754964,56839488,57121942,57220776,57325684,57418846,57570774,57649453,57668569,58047651,58186833,58601526,58794659,59029805,59116254,59331412,59332448,59445862,59462134,59494180,59558226,59724063,59857174,59871032,60213330,60329875,60337376,60413016,60680244,60710209,60741076,60812514,61127705,61184841,61719081,61755924,61879512,61947681,61964345,62163910,62210941,62403617,62813926,63038326,63216605,63455321,63633305,63904692,63937270,63944424,64073693,64227552,64239774,64318936,64373373,64674033,65135401,65296505,65673574,65711113,65755102,65985535,66219250,66274392,66277086,66327160,66370647,66474321,66623721,66749004,66842490,66953945,66981495,67121364,67199284,67294833,67354911,67656593,67741161,67852582,67853729,67879548,67964643,68279422,68608180,69017645,69129766,69159769,69390646,69475679,69614451,69840605,70099517,70232404,70426660,70741012,70835766,70902650,70914561,71072345,71100075,71280681,71298656,71393016,71445022,71446928,71482205,71630813,71638180,71891705,71935193,71937477,72039142,72156921,72255996,72358803,72395850,72604249,72884481,72941044,72986141,73314008,73353246,73421849,73639270,73879553,73912996,73971321,74128222,74341145,74357214,74558691,74596692,74618055,74643742,75083209,75412041,75699033,75771281,75840080,75859926,76359966,76372445,76724724,76771833,76917337,77182445,77222240,77327021,77449174,77586022,77753369,77758769,77768241,77999393,78193833,78355806,78695449,78702814,78893860,79012675,79182642,79201145,79254033,79324521,79402777,79463100,79546726,79592592,79684774,79739875,80210988,80317143,80344734,80377794,80623897,80781181,80794462,80822369,80939121,81078520,81217217,81390244,81428001,81444022,81637161,81648889,82308881,82329816,82338001,82383670,82413382,82428724,82478259,82762733,82821174,82871782,82944353,83553833,83808726,83992370,84002569,84009305,84306135,84511992,84748641,84759160,84760640,84922660,85083180,85091361,85286814,85320090,85490374,85570161,85600505,85762537,85778646,85965816,86190649,86270046,86440673,86463124,86592201,86712376,86728870,86875020,87137524,87202833,87544084,87976505,88367124,88611934,88955961,89086942,89155846,89180737,89209374,89541666,89734180,89926544,90433609,90595462,90731446,90755392,90958641,91008096,91111673,91121641,91213335,91224033,91403422,91646934,91907705,91978726,92084353,92298845,92618934,92621043,92666688,92725121,93470105,93935860,94183233,94265050,94559476,94569272,94574121,94672632,94815210,94899201,94987695,95041374,95075991,95158006,95354055,95355720,95376094,95453254,95687850,96239494,96276495,96451233,96711543,96923302,96932260,96964445,96964769,97012696,97078633,97290166,97294224,97350905,97551423,97703377,97736212,97757751,97899742,98435481,98793694,98799670,98860404,98978782,99250970,99892761,...,260693867976436719307665502578042719621273043393819686266573391248866303092983809000145622269712067393147225256930241688901194652560649582769239459368370204396085316012324319183816511011757502840767045771477487777451532657498767836940281160619566172983617617147968965250034457213209541350340127873821119813547926280432104666758557517978253982073079184921543759300441416467409756500158941881230100805937131477119585321718343754328403071242451866833774086486872017688522052993319348728715624444667003943820102899246085983407618890805764361475019444203065107607187427888320328668972456302674803216534783231536720961130007600324418407243486475655194107893920169983750036882958238348649208809698172564772760064111081567446974770912316595245054668103926569885056305038727237501681747216772307936911467051166702413641636902205042043910139905409391953875462933566179950849859762504259599626691242302500216756162324724259931571271021511184704855020017723043454098525706686987643511123571107510152811477964749643077235106993916279920032359592759806243961153992874212961295575059341659599873691653708719660077629063651498363330198579453868376263770070657256911887900292063001775956382776788266068253496257023627330192875876581169445911869527583428344099136831527623931085830584692593641836906955904313376929834739825045239193657375694183295661070465782689906104466865925276547999458259650292361246604533367436684049951348866938927729629948237526812239426371131975748734536177391336132405138971532680482791244731696873504999990077430204894460174756250488799970960081085014313739089047786192064345442880681936658261704234945219191081139435074940053384128955254944678821527862013343458491757126305839429991530127128418436510754959259706316333165176943366721374282262246394667368042629628628041423663004138164090508479183304979638973843486704208070582211072417973595967717585133409716019774943705066658756985611001631352331081434773716325382000360162977270688925529975409642049603254942572113489274678406839831673937717963403623976356755334558912541778111560365498911252223127446684889448704904891119493122699630150517207312978966119786024419729779813581314339979804054193243034866170168466085043452669646848713144018930721856618852007557490620867505823527459753228017529795959935325534177505736533546136780488609159042685486936039496727833148208861276825992587574419151985151895195519570271623003266291761479411757842497250668107637919044940274157606070117666525150738135095462028922211824159992243}
15616  4127524638639190645601762684787229619026530050667875320442741239: {218498,312140,374568,405626,421389,686444,731743,966146,1381903,1638105,1747312,1807628,1932044,1950125,1965726,2268986,2304583,2340150,2496160,2671639,2677868,2808180,2995392,3195266,3298508,3369816,3584239,3614792,3675103,3791043,3794444,3947263,4066641,4413644,4849783,5037026,5106632,5298343,5387839,5744961,5834239,5923303,6266444,6721639,6864386,7074583,7250623,7340072,7409786,7526589,7689463,8257581,8474839,8602988,8677346,8960225,8995183,9338444,9398498,9684943,9770541,9856663,10113703,10296698,10309928,10331529,10683788,10710943,10752270,11369786,11469088,11473639,11545521,11598669,12082298,12097113,12268748,12542705,12648463,12731839,12792506,12902724,12998444,13891543,14009288,14090828,14302303,14384239,14401325,14507773,14570105,14696588,15051246,15356733,15422444,15618705,15760449,15785186,15927343,16147148,16282145,16308986,16659952,16958408,17206639,17217005,17232044,17281590,17352428,17484126,17681623,17918150,17953868,18045626,18281825,18429512,18433696,18434689,18467503,18742446,18822921,18908546,19078209,19154348,19478383,19538574,19555639,20017663,20395529,20400703,20623586,20631848,20660406,20725390,20733201,20737908,20740973,21307148,21501780,21545708,21645698,21914863,21938190,22078221,22214239,22512463,22568505,22661143,22935232,23093228,23210829,23337698,23400736,23767063,24059239,24073072,24290888,24508913,24712423,24870468,24878841,25463468,25759293,25802136,25848698,25961278,26014946,26143063,26325828,26335270,26545145,26643788,27082206,27197143,27266839,27327249,27683503,27935528,27959839,28055948,28662728,28713823,28847105,28985839,29011822,29027403,29136470,29347565,29359833,29607700,29697644,29798906,30611426,30665825,30840872,30935426,31197166,31251463,31284033,31427469,31449644,31602324,31707583,31854174,32245569,32782813,33280701,33347066,33622423,33935263,34018265,34184239,34432063,34459592,34493839,34616526,34695981,34765577,34801639,34862983,34936826,34963764,35085545,35217078,35472633,35529240,35759841,35971148,36387105,36764889,36798990,36864646,36905839,36981986,37087540,37140703,37432663,37490839,37548943,37762106,37897856,38063912,38115501,38500268,38695903,38767041,38812912,38978143,39146623,39252256,39530444,39758839,39970395,40215788,40786028,40821918,41064343,41210150,41437303,41445460,41476622,41608706,41648839,41884305,42102654,42120583,42229325,42370088,42612353,42635088,42821901,43122146,43423106,43625228,43664526,43767725,43899703,44158788,44190668,44205369,44244943,44505048,44567380,44676592,44833533,44924839,45148173,45164239,45206444,45657068,45824983,46452049,46608343,46655528,46832590,46949361,47136506,47298622,47415103,47459239,47508305,47666349,47964474,48069583,48305786,48917023,49020428,49165639,49321346,49452180,49665110,49734552,49735663,50068179,50173639,50261166,50330743,50357708,50430545,50675190,50691308,50909623,50947639,51174223,51206441,51509239,51889265,51912044,51915892,52018783,52374103,52387153,52487469,52521270,52663780,52748992,52795204,52861389,52890746,52982200,53096839,53130463,53480856,53561023,53747825,53838681,53915839,54053536,54105703,54144573,54153698,54458312,54538639,54562028,54569023,54689839,54850298,55132639,55316657,55531303,55559239,55728321,55869512,55951371,56022688,56199108,56279069,56491639,56838905,56864239,56984839,57009966,57127183,57197383,57312943,57426703,57471703,57521228,57600698,57648823,57800023,57957644,57981992,57990093,58036265,58138881,58192639,58369543,58388839,58492733,58759639,58865263,58951303,59088866,59207800,59257833,59297613,59342616,59481068,59589644,59598132,59604975,59630839,59906023,60014239,60071839,60083143,60165963,60170983,60223543,60342343,60379639,60433423,60467839,60516654,60571145,60579223,60586639,60629623,60650143,60656839,60790568,60810228,60869383,60874790,60883639,60887023,60896743,60911503,60924463,60957698,60964639,61106348,61214444,61265601,61491272,61754444,61862348,62185868,62251449,62267118,62275298,62340905,62386324,62468889,62516062,62853201,62930225,63025524,63196536,63477068,63578640,63700305,64149757,64224698,64335308,64457825,64497390,64652289,64867298,65084588,65229741,66014906,66169505,66360070,66578444,66608775,66647426,66760443,66903700,67076168,67216748,67569460,67817216,67946992,68172044,68206686,68389389,68647298,68797216,68807468,69035825,69177681,69230444,69643518,69878498,69901745,70012205,70390988,70943705,71049360,71096103,71240648,71525970,71577986,71657105,72038589,72417146,72685374,72774626,72893498,73049748,73382541,73849388,73947993,73953644,74074298,74164265,74165560,74367725,74809086,74838790,75220089,75409868,75421720,75460689,75516270,75703226,75785984,75850305,75873329,75926345,76294368,76392698,76440366,76637769,76761032,76849466,76963298,76992333,77194905,77349390,77396868,77582444,78135368,78685726,78765026,78821672,79098746,79403406,79410968,79632084,79880865,79930530,80145729,80284440,80398670,80550688,80747906,80906992,80911853,81083352,81384729,81506426,81513601,81579788,82292108,82341232,82364666,82506016,82577786,82596908,82748113,82838553,82842990,82908950,83046381,83436255,83814081,83882094,83901705,83999105,84014646,84053498,84376457,84550461,84849435,84886109,85090298,85132446,85206256,85259232,85500986,85636736,85653032,85682913,85760225,85831164,85988526,86011106,86128269,86232044,86356161,86618498,86657054,87220706,87718586,87790505,87902289,88015586,88033325,88365856,88369448,88426265,88494196,88605698,88632428,88655182,88674381,88831628,88997118,88998672,89123320,89168793,89193201,89241270,89308660,89337339,89495152,89547725,89674106,89726444,89785761,89806548,89858062,90319995,90321548,90506064,90537821,90619524,91020366,91111614,91175513,91176305,91218771,91548737,91642510,92391245,92633886,92819268,93230906,93245865,93321698,94220889,94447688,94552748,94557489,94577666,94800100,95040908,95190688,95544698,95857038,95905905,95916636,96209228,96322946,96341328,96359661,96478404,96527800,96750266,97179308,97258298,97677698,97804328,98093498,98176226,98510361,98617325,98628428,98632653,98987702,99142952,99238586,99328875,99411588,99415629,99462256,99490740,99664433,99800546,99984118,...,347591823968582292410220670104056959495030724525092915022097854998488404123978412000194163026282756524196300342573655585201592870080866110358985945824493605861447088016432425578422014682343337121022727695303317036602043543331690449253708214159421563978156822863958620333379276284279388467120170498428159751397235040576139555678076690637671976097438913228725012400588555289879675333545255841640134407916175302826113762291125005771204094989935822445032115315829356918029403991092464971620832592889338591760137198994781311210158521074352481966692592270753476809583237184427104891963275070233070955379710975382294614840010133765891209657981967540258810525226893311666715843944317798198945079597563419697013418814775423262633027883088793660072890805235426513408406718302983335575662955696410582548622734888936551522182536273389391880186540545855938500617244754906601133146350005679466168921656403333622341549766299013242095028028681579606473360023630724605464700942249316858014831428143346870415303952999524102980142658555039893376479457013074991948205323832283948394100079122212799831588871611626213436838751535331151106931439271824501685026760876342549183867056084002367941843702384354757671328342698169773590501168774892594549159370111237792132182442036831908114440779590124855782542607872417835906446319766726985591543167592244394214760621043586541472622487900368730665944346200389814995472711156582245399935131822585236972839930983369082985901828175967664979381569855114843206851962043573977054992975595831339999986769906939859280233008333985066627946774780019084985452063714922752460590507575915544348938979926958921441519246766586737845505273673259571762037149351124611322342835074452573322040169504557915347673279012941755110886902591155628499043016328526223157390172838170721898217338850885454011305577739972851965124648938944094109614763223964794623623446844546288026366591606755545009314148002175136441441913031621767176000480217303027585234039967212856066137673256762817985699571209119775565250290617871498635142340446078550055704148747153998548336297503262246519264939873188159324163599506867356276417305288159714699226306373084775085786639738738924324046488226891288113391270226195798284192025240962475491802676743320827823341098036613004304023373061279913767378903340982044728182373984812212056913982581385995637110864278481702434656783432558869313535860260692760362164004355055681972549010456663000890810183892059920365543474760156888700200984180127282705229615765546656324}
15617  4145817759948284975849637441408295635746914929994338411257217178: {327747,390175,468210,499424,561852,608439,858055,1029666,1449219,1528898,2184140,2259535,2415055,2620968,2711442,2898066,2948589,3120200,3162943,3347335,3403479,3510225,3744240,3942499,3993856,4016802,4123135,4212270,4468303,4493088,4503487,4518490,4658719,4743055,4792899,4947762,5032663,5054724,5422188,5517055,5691666,6336583,6383290,6422563,6620466,7555539,7659948,7698002,7833055,7883986,8044003,8204863,8578519,9005818,9021187,9175090,9399666,10035452,10296579,10714639,10753735,10844623,11010108,11114679,11673055,12258127,12887410,12904482,13016019,13027388,13085119,13354735,13492963,13775372,13887043,14007666,14097747,14336360,14577458,14838607,15335935,15351034,15379939,15394028,15445047,15464892,15587623,16025682,16125823,16128405,16129484,16248055,16472002,16686223,17054679,17203632,17394962,17511610,17613535,18052867,18123447,18132466,18370735,18403122,18580903,18944479,19188759,19257799,19269007,19278055,19354086,19497666,20068328,20183935,20475644,20824940,20945923,21013932,21063938,21136242,21182383,21198010,21254527,21540055,21556327,21690535,21875954,22044882,22442335,22576869,23036890,23042120,23133666,23312168,23468143,23649043,23677779,23927107,23942935,24220722,24443587,24463479,24648026,24850498,24989928,25079887,25097228,25437612,25789810,25848066,25922385,26028642,26051432,26226189,26350519,26633935,26877225,26930802,26932135,26985763,27068439,27135247,27467263,27546727,27547208,27644268,27650544,27689299,28113669,28181767,28361443,28362819,28398883,28669040,28731522,28866535,29250920,29307861,29329186,29437628,29610499,29738743,30091340,30152143,30363610,30375763,30448447,30935379,30947772,30990609,31088085,31106862,31380067,31829335,31960722,32252670,32318562,32468547,32721799,32907285,33160624,33171788,33304735,33305923,33406207,33961298,34345724,34402848,34573807,34639842,34919410,35006547,35069935,35101104,35828410,35990239,36109608,36436332,36479938,36534343,37009625,37073827,37122055,37305702,37482178,37734499,38195202,38270479,38497363,38551090,38703204,38734663,38773047,38941917,39022419,39092018,39137383,39146444,39312055,39400999,39488742,39502905,39965682,40244983,40623309,40823587,41217367,41432306,41712044,41903292,42083922,42136432,42472232,42551258,42756223,42994092,43012003,43074490,43391623,43517733,43570399,43704705,43907162,44374268,44411550,44546466,44593186,44698359,44963935,45179107,45370807,45377527,45917139,46155368,46261308,46359425,46403139,46617538,46618352,46707463,46795749,46956104,47174466,47296844,47372320,47403486,47579890,47591287,47651023,47679788,47781261,48125335,48516140,48885823,49019852,49065320,49353799,49413055,50020599,50194783,50269735,50734243,50820668,50982535,51664723,51689388,51806825,51924789,52101583,52405239,52445646,52722679,52825617,52962610,53133394,53170207,53191747,53216698,53293860,53312743,53633539,53804863,53956722,54201919,54429224,54531535,55029847,55198485,55238335,55296969,55472979,55631310,55709225,55773703,55845740,56136872,56508055,56602183,56643159,56846784,56942863,57071335,57095868,57645943,57750402,58219368,58243603,58294207,58300159,58319410,58691647,58878384,58940492,59255107,59295666,59324407,59340064,59453618,59778044,59841058,60197564,60323682,60639602,60660626,61179042,61232877,61257607,61275535,61386823,61815225,62168190,62214933,62335567,62411743,62413059,62500999,62599148,62925823,62947135,62997727,63153981,63364135,63481363,63555132,63952632,64164319,64667527,64683219,64765426,64890055,64894865,65113543,65134659,65342479,65430482,65437842,65494183,65496789,65829725,65936240,65994005,66227750,66238182,66286002,66312736,66711919,66757572,66851070,67014888,67165903,67199239,67566920,67809666,68072890,68202535,68365039,68368447,68485602,68890018,68968963,69122023,69484597,69745219,69836890,69983292,69996883,70028360,70108663,70202786,70248885,70481852,70541407,70620703,70704759,70793618,70947933,71163667,71307808,71784908,71901535,71946711,72017338,72048578,72192764,72268999,72447055,72458679,72477490,73178863,73530642,73982019,74009750,74178270,74304428,74351335,74487055,74497665,74555474,74601828,74653699,74875747,74932144,74946403,75124999,75391749,75536562,75988210,76012785,76013288,76036962,76154023,76244167,76382935,76518055,76792738,76864090,76903538,77193055,77320124,77323267,77327935,77518508,77732335,77769043,77868066,77873838,77982905,78280567,78308258,78339799,78346519,78781905,78995670,79010444,79063484,79123488,79192806,79206703,79336119,79346335,79464176,79473300,79515847,79995514,80196559,80221284,80419135,80688872,80832943,81080304,81230547,81342127,81355735,81370706,81687468,81843042,82275447,82319599,82641727,82659919,82922323,83001932,83022824,83223055,83291852,83629625,83804268,83845210,83970343,84020935,84034032,84262048,84298662,84401599,84435026,84461825,84771520,84933740,85014319,85215055,85514949,85578787,85918663,85996520,86009335,86011987,86203052,86281842,86401047,86538055,86720863,86750083,86754403,86772499,86936466,86972988,86990419,87029474,87312199,87441727,87928783,87988735,88483303,88503247,88633299,88811700,89013924,89050810,89086627,89221602,89384466,89397198,89512178,90330883,90774981,90942248,91185852,91215342,91312185,91415107,91436547,91530842,91659522,91821666,91896727,92109074,92179267,92193943,92236908,92311735,92379749,92442055,92536039,92631666,92706950,92737219,92793522,92858024,93015823,93167986,93278802,93400677,93412947,93579486,93678199,93735523,93774093,94091863,94243543,94262335,94277150,94538286,94732480,94794804,95038687,95057923,95215602,95236927,95367960,95951290,96051452,96252026,96337047,96502962,96554407,96624703,96746085,96913832,96978055,97300947,97399664,97542163,97626882,97669210,97776847,97843388,97929799,98527090,98597324,98745439,98967919,99022359,99077887,99263710,99501283,99540105,99745448,99867666,99971139,...,521387735952873438615331005156085439242546086787639372533146782497732606185967618000291244539424134786294450513860483377802389305121299165538478918736740408792170632024648638367633022023515005681534091542954975554903065314997535673880562321239132345967235234295937930500068914426419082700680255747642239627095852560864209333517115035956507964146158369843087518600882832934819513000317883762460201611874262954239170643436687508656806142484903733667548172973744035377044105986638697457431248889334007887640205798492171966815237781611528722950038888406130215214374855776640657337944912605349606433069566463073441922260015200648836814486972951310388215787840339967500073765916476697298417619396345129545520128222163134893949541824633190490109336207853139770112610077454475003363494433544615873822934102333404827283273804410084087820279810818783907750925867132359901699719525008519199253382484605000433512324649448519863142542043022369409710040035446086908197051413373975287022247142215020305622955929499286154470213987832559840064719185519612487922307985748425922591150118683319199747383307417439320155258127302996726660397158907736752527540141314513823775800584126003551912765553576532136506992514047254660385751753162338891823739055166856688198273663055247862171661169385187283673813911808626753859669479650090478387314751388366591322140931565379812208933731850553095998916519300584722493209066734873368099902697733877855459259896475053624478852742263951497469072354782672264810277943065360965582489463393747009999980154860409788920349512500977599941920162170028627478178095572384128690885761363873316523408469890438382162278870149880106768257910509889357643055724026686916983514252611678859983060254256836873021509918519412632666330353886733442748564524492789334736085259257256082847326008276328181016958366609959277947686973408416141164422144835947191935435170266819432039549887410133317513971222003262704662162869547432650764000720325954541377851059950819284099206509885144226978549356813679663347875435926807247952713510669117825083556223120730997822504446254893369778897409809782238986245399260301034414625957932239572048839459559627162628679959608108386486069732340336932170086905339293697426288037861443713237704015114981241735011647054919506456035059591919870651068355011473067092273560977218318085370973872078993455666296417722553651985175148838303970303790391039140543246006532583522958823515684994501336215275838089880548315212140235333050301476270190924057844423648319984486}
15618  4164191316801863623285284223050646053920755028084742303748599370: {171677,265217,436996,576497,624280,702315,749136,811252,842778,917981,1041917,1372888,1463486,1544499,1659677,1932292,2293347,2335517,2427377,2580317,2730175,2763581,2763806,2946557,3276210,3493757,3494624,3615256,3705857,3864088,3900250,3931452,3947777,4067163,4128881,4347099,4537972,4609166,4680300,4760477,4992320,5059997,5299037,5328881,5343278,5355736,5477981,5616360,5990784,6025203,6102017,6318405,6368381,6390532,6545597,6597016,6739632,6777735,6928577,7168478,7229584,7251581,7350206,7368797,7421643,7582086,7588888,7894526,8133282,8156657,8388977,8537499,8823197,8827288,9025217,9574935,9699566,9886577,9930699,10074052,10213264,10596686,10775678,10825757,10995581,11165117,11489922,11547003,11668478,11671997,11812337,11825979,11846606,12148337,12399581,12532888,12544315,12677981,12927857,12983297,13066397,13443278,13508381,13508727,13728772,13762635,14099499,14149166,14495357,14501246,14577137,14680144,14819572,15053178,15378926,15444977,15552881,16284235,16358081,16515162,16917437,16949678,17050097,17129597,17205976,17219215,17354692,17526017,17559787,17684081,17710397,17920450,17946881,17990366,18313457,18496157,18574337,18676888,18796996,19242535,19331115,19356723,19369886,19481117,19541082,19713326,20161855,20227406,20398147,20593396,20619856,20657981,20663058,21011499,21315677,21367576,21421886,21504540,21567197,21866187,22017917,22515677,22540481,22664381,22689137,22739572,22795003,22938176,22947278,23026551,23091042,23197338,23623937,24038523,24103807,24159857,24164596,24194226,24377981,24512059,24537496,24595457,24708003,24715997,24740081,25004477,25085410,25296926,25463678,25585012,25594555,25601777,25673117,25805448,25934081,25996888,26031175,26092443,26146877,26267415,26429597,26640881,27198699,27224381,27548957,27604683,27783086,28018576,28170497,28181656,28604606,28740797,28768478,28802650,28854257,28965079,29015546,29031129,29080577,29140210,29246499,29393176,29598077,29754737,29933297,30089117,30102492,30421697,30487997,30713466,30730481,30844888,31190717,31237410,31371535,31473857,31520898,31570372,31595907,31604081,31704363,31712381,31797015,31854686,32165057,32229437,32294296,32357981,32443517,32564290,32617972,32813931,33067323,33319904,33916816,33940481,34023617,34413278,34434010,34457981,34464088,34555335,34563180,34643057,34700499,34704856,34868381,34950077,34968252,34990877,35072381,35174081,35363246,35659457,35780081,35836300,35860337,35907736,36080381,36091252,36259697,36331083,36497777,36563650,36675581,36797035,36852737,36859024,36867392,36869378,36935006,36972039,37163203,37275747,37484892,37574237,37614175,37645842,37817092,37844381,38156418,38246657,38308696,38322881,38607581,38684715,38772099,38956766,39003137,39042963,39077148,39111278,39432317,39562097,39820481,39894017,40035326,40385947,40387037,40396203,40791058,40801406,40910081,41086591,41247172,41263696,41320812,41450780,41461757,41464735,41466402,41475816,41481946,41602877,42040577,42075377,42144881,42404381,42507677,42559217,42614296,42815837,42932155,43003560,43091416,43097283,43104497,43291396,43323677,43524797,43574897,43757981,43829726,43876380,43907057,43993779,44022557,44156442,44170481,44428478,44739581,44884337,45024926,45137010,45322286,45545415,45832817,45848381,45870464,45926081,46186456,46421658,46479617,46631537,46660293,46675396,46801472,47156957,47216381,47423357,47438081,47534126,47625571,47941083,48092381,48118478,48146144,48379005,48477843,48581776,48590081,48646337,48933055,48939581,49017826,49064177,49119763,49424846,49501937,49637057,49677437,49740936,49744577,49757682,50339837,50352881,50430977,50624957,50926936,50931581,50941947,51183581,51494081,51518586,51604272,51629117,51677981,51697396,51847997,51922556,51959763,52029892,52140055,52286126,52379115,52454081,52570481,52651656,52670540,52697597,52812317,52903517,53016797,53090290,53151677,53207537,53287576,53373917,53417981,53571197,53742615,53744381,54116081,54164412,54313757,54394286,54488177,54533678,54589697,54654498,54670337,54719907,54919037,54938717,55210877,55354097,55367006,55373057,55410881,55467835,55542257,55551581,55681277,55736381,55772957,55871056,55908977,55919678,55958553,56016497,56111896,56223267,56323517,56400881,56486081,56578877,56604017,56859581,56948417,56972477,57052157,57138881,57146717,57216881,57255581,57292803,57324737,57325456,57427646,57483581,57660797,57694210,57826635,57945917,57971678,57987581,58023644,58054806,58131137,58231517,58272940,58381937,58388381,58458737,58540637,58608881,58633457,58638027,58695130,58700381,58719666,58813697,58883777,58935581,58986737,59121055,59215400,59216897,59233113,59243357,59395288,59397917,59442881,59462657,59535677,59564381,59597812,59599735,59726081,59919581,59923697,59948523,60074177,60100637,60152381,60174077,60240881,60278237,60288257,60311357,60356381,60447581,60516703,60547517,60593597,60644081,60645175,60728477,60742337,60751997,60768881,60852317,60856577,60889277,60895217,60902081,60906497,60912881,60917981,60939677,60960881,60964097,60966557,60968381,60972017,60975857,60980081,61222852,61274815,61331650,61681744,61824499,61870852,62148459,62394332,62502926,62568066,62854938,62899288,63125883,63204648,63415166,63525835,63708348,63826887,64491138,64611735,65374231,65565626,65860743,66511627,66561402,66617325,66694132,66819699,66889779,67244846,67870526,68036530,68368478,68864126,68919184,68987678,69233052,69391962,69531154,69603278,69657643,69725966,69807175,69873652,69926307,69927528,70171090,70434156,70602763,70761699,70945266,71058480,71105229,71369835,71519682,71942296,72644971,72774210,73529778,73597980,73675615,73729292,73811678,73963972,74175080,74281406,74722555,74865326,74981678,75097886,75246955,75524212,75795712,76127824,76231002,77000536,77391806,77534082,77625824,77956286,78248935,78293246,78504512,78668469,79060888,79443915,79517678,79574467,79700091,79825047,79940790,80431576,80935083,81250771,81572056,81643836,82128686,82420300,82874606,82890920,82953244,83217412,83297678,83446965,83768610,84205308,84241166,84458650,84740176,84799603,85224706,85270176,85643802,86244292,86625603,86846212,87250456,87277267,87329052,87479115,87535450,87799406,88102315,88317576,88381336,88410738,88489886,88943499,89010096,89134760,89180427,89353184,89667066,89731135,89761587,89849678,90195523,90240955,90296346,90328478,90412888,90485523,90959403,90990939,91314136,91649966,91768563,92637307,92880535,92904098,93216686,93252285,93311056,93665180,93898722,94273012,94303099,94597244,94830206,94918478,95016610,95332698,95623099,95928948,96139166,96611572,96650155,96898135,97148139,97834046,97862443,98017087,98040856,98145723,98156763,98331278,98642692,98763055,98829355,98904360,99321187,99330220,99341625,99357273,99429003,99469104,99471326,99717631,...,782081603929310157922996507734128158863819130181459058799720173746598909278951427000436866809136202179441675770790725066703583957681948748307718378105110613188255948036972957551449533035272508522301137314432463332354597972496303510820843481858698518950852851443906895750103371639628624051020383621463359440643778841296314000275672553934761946219237554764631277901324249402229269500476825643690302417811394431358755965155031262985209213727355600501322259460616053065566158979958046186146873334001011831460308697738257950222856672417293084425058332609195322821562283664960986006917368908024409649604349694610162883390022800973255221730459426965582323681760509951250110648874715045947626429094517694318280192333244702340924312736949785735164004311779709655168915116181712505045241650316923810734401153500107240924910706615126131730419716228175861626388800698539852549579287512778798880073726907500650268486974172779794713813064533554114565060053169130362295577120060962930533370713322530458434433894248929231705320981748839760097078778279418731883461978622638883886725178024978799621074961126158980232887190954495089990595738361605128791310211971770735663700876189005327869148330364798204760488771070881990578627629743508337735608582750285032297410494582871793257491754077780925510720867712940130789504219475135717580972127082549886983211397348069718313400597775829643998374778950877083739813600102310052149854046600816783188889844712580436718279113395927246203608532174008397215416914598041448373734195090620514999970232290614683380524268751466399912880243255042941217267143358576193036328642045809974785112704835657573243418305224820160152386865764834036464583586040030375475271378917518289974590381385255309532264877779118948999495530830100164122846786739184002104127888885884124270989012414492271525437549914938916921530460112624211746633217253920787903152755400229148059324831115199976270956833004894056993244304321148976146001080488931812066776589926228926148809764827716340467824035220519495021813153890210871929070266003676737625334334681096496733756669382340054668346114714673358479368098890451551621938936898359358073259189339440743943019939412162579729104598510505398255130358008940546139432056792165569856556022672471862602517470582379259684052589387879805976602532517209600638410341465827477128056460808118490183499444626583830477977762723257455955455685586558710814869009798875284438235273527491752004322913757134820822472818210352999575452214405286386086766635472479976729}
15619  4182645660086288194031725477360576307223623432167545195888948306: {15619,546245,655494,780350,936420,998848,1014065,1123704,1201277,1216878,1264167,1716110,2059332,2195229,2415365,2898438,3057796,3163349,3381077,4145709,4368280,4519070,4659317,4686269,4830110,4914315,5033309,5241936,5422884,5624741,5672465,5772389,5796132,5850375,5897178,6240400,6325886,6640277,6694670,6806958,6913749,7020450,7488480,7488689,7723877,7884998,7987712,7988165,8014917,8033604,8246270,8424540,8936606,8986176,9006974,9036980,9170141,9317438,9486110,9506549,9585798,9895524,10065326,10109448,10752717,10844376,10966277,11025309,11034110,11373129,11373629,11383332,11453717,11841789,12120461,12199923,12592565,12673166,12766580,12845126,13240709,13240932,13987541,14549349,15055229,15111078,15319896,15396004,15666110,15767972,15895029,15946229,16088006,16116017,16163517,16342277,16409726,16550237,17157038,17160965,17234883,17421461,17502717,17769909,17836997,18011636,18042374,18350180,18524465,18696629,18799332,20070904,20164917,20593158,21223749,21429278,21470309,21507470,21535949,21689246,21693365,21751869,21959249,22020216,22229358,22579767,22643237,22747277,22759217,23068389,23346110,23496245,23575697,24516254,24658949,24772743,25424517,25719029,25741745,25774820,25808964,26032038,26054776,26170238,26229101,26683877,26709470,26880675,26985549,26985926,26989277,27550744,27774086,27948869,28015332,28195494,28257509,28424465,28672720,28708529,29054829,29154916,29311623,29361557,29569989,29677214,30156077,30205745,30327629,30341109,30366749,30671870,30702068,30715157,30759878,30788056,30890094,30929784,30994587,31175246,31419269,31497269,31981265,32051364,32132829,32251646,32256810,32258968,32496110,32723717,32944004,33372446,33518069,33520109,34109358,34407264,34420917,34636563,34789924,34796007,35023220,35227070,35535701,35898629,36105734,36246894,36264932,36291339,36702917,36741470,36806244,37161806,37287509,37336349,37628115,37704989,37888958,37945389,38195517,38377518,38515598,38538014,38556110,38671217,38708172,38995332,39462965,39662717,40136656,40367870,40413149,40747397,40772465,40832501,40951288,41649880,41674629,41891846,42027864,42127876,42272484,42364766,42396020,42509054,42608717,42781469,42906909,43080110,43112654,43152717,43203975,43381070,43523319,43581809,43710315,43741781,43751908,44089764,44470037,44561069,44595317,44795375,44884670,45114065,45153738,45777329,46066469,46070199,46073780,46084240,46267332,46564817,46624336,46626629,46713557,46856115,46936286,47271365,47281347,47298086,47355558,47782029,47854214,47885870,48441444,48846435,48887174,48926958,49097909,49296052,49700996,49979856,50159774,50194456,50708549,50875224,51018449,51281009,51558965,51579620,51619917,51651015,51696132,51813475,51844770,51970877,52057284,52102864,52452378,52643309,52701038,53044869,53267870,53754450,53861604,53864270,53971526,54114245,54136878,54270494,54845475,54934526,55036877,55093454,55094416,55199729,55207517,55288536,55294517,55301088,55304067,55378598,55402509,55623557,55750229,56227338,56363534,56468763,56609597,56722886,56725638,56797766,57234627,57338080,57463044,57525509,57664337,57733070,58231181,58327217,58344245,58435149,58501840,58579301,58615722,58658372,58666917,58875256,59220998,59477486,59847089,59942417,60052989,60182680,60304286,60727220,60751526,60869957,60896894,61058309,61186587,61202109,61243829,61527917,61870758,61895544,61981218,62176170,62199603,62213724,62222919,62282981,62402609,62760134,62934017,62949509,63005969,63658670,63921444,64505340,64621745,64637124,64903195,64937094,65037365,65152349,65443598,65620397,65744589,65814570,65838175,66234663,66303749,66321248,66343576,66609470,66611846,66642717,66812414,66893489,67375469,67537389,67607381,67705515,67922596,67983429,68380301,68529917,68691448,68805696,68833349,69147614,69178277,69279684,69632487,69754301,69838820,70013094,70139870,70202208,70328861,70330997,70377629,70629917,71301189,71312741,71375549,71656820,71980478,72177717,72219216,72493829,72529555,72841175,72872664,72923429,72959876,73068686,73199381,73526739,73699709,73864817,74019250,74137269,74147654,74244110,74497265,74611404,74636523,74890997,74964356,75023429,75468998,76344149,76390404,76528565,76540958,76952369,76994726,77102180,77277879,77333669,77338565,77406408,77469326,77546094,77883834,77992915,78044838,78184036,78274766,78292888,78356741,78429189,78624110,78801998,78848117,78929021,78977484,79005810,79111277,79423349,79635435,79899869,79931364,80453357,80489966,81003197,81246618,81352769,81591429,81647174,81788141,81800517,81898589,81981747,82434734,82455617,82723589,82864612,83050509,83367665,83424088,83806584,83879517,84167844,84272864,84944464,85102516,85214069,85408817,85512446,85785749,85929917,85988184,86024006,86141469,86148980,86541315,86783246,86957517,87035466,87082209,87140798,87342065,87409410,87814324,87986861,88042695,88079499,88125989,88709789,88748536,88821461,88823100,89092932,89186372,89198189,89396718,89927870,90000209,90342701,90358214,90622037,90741614,90755054,90846077,90852811,90911789,90951149,91482737,91834278,91908869,91997475,92161615,92310736,92391607,92454965,92522616,92718850,92806278,93235076,93236704,93414926,93591498,93754389,93852099,93912208,93992837,94282407,94348932,94405265,94593688,94744640,94806972,95122749,95159780,95182574,95302046,95359576,95401757,95483549,95508557,95562522,96026741,96250670,96492101,96736707,97032280,97597349,97728989,97771646,97999109,98039704,98130640,98348439,98707598,98826110,98840789,99365381,99672317,99842103,...,1042775471905746877230662010312170878485092173575278745066293564995465212371935236000582489078848269572588901027720966755604778610242598331076957837473480817584341264049297276735266044047030011363068183085909951109806130629995071347761124642478264691934470468591875861000137828852838165401360511495284479254191705121728418667034230071913015928292316739686175037201765665869639026000635767524920403223748525908478341286873375017313612284969807467335096345947488070754088211973277394914862497778668015775280411596984343933630475563223057445900077776812260430428749711553281314675889825210699212866139132926146883844520030401297673628973945902620776431575680679935000147531832953394596835238792690259091040256444326269787899083649266380980218672415706279540225220154908950006726988867089231747645868204666809654566547608820168175640559621637567815501851734264719803399439050017038398506764969210000867024649298897039726285084086044738819420080070892173816394102826747950574044494284430040611245911858998572308940427975665119680129438371039224975844615971496851845182300237366638399494766614834878640310516254605993453320794317815473505055080282629027647551601168252007103825531107153064273013985028094509320771503506324677783647478110333713376396547326110495724343322338770374567347627823617253507719338959300180956774629502776733182644281863130759624417867463701106191997833038601169444986418133469746736199805395467755710918519792950107248957705484527902994938144709565344529620555886130721931164978926787494019999960309720819577840699025001955199883840324340057254956356191144768257381771522727746633046816939780876764324557740299760213536515821019778715286111448053373833967028505223357719966120508513673746043019837038825265332660707773466885497129048985578669472170518514512165694652016552656362033916733219918555895373946816832282328844289671894383870870340533638864079099774820266635027942444006525409324325739094865301528001440651909082755702119901638568198413019770288453957098713627359326695750871853614495905427021338235650167112446241461995645008892509786739557794819619564477972490798520602068829251915864479144097678919119254325257359919216216772972139464680673864340173810678587394852576075722887426475408030229962483470023294109839012912070119183839741302136710022946134184547121954436636170741947744157986911332592835445107303970350297676607940607580782078281086492013065167045917647031369989002672430551676179761096630424280470666100602952540381848115688847296639968972}
15620  4201181142206507293034295508494791169287029733526759191026928794: {202891,296419,343354,530434,576571,873992,949099,983241,1152994,1170525,1227739,1248560,1404630,1498272,1622504,1685556,1690699,1825317,1835962,1967611,2083834,2574165,2745776,2794459,2926972,2977411,3088998,3319354,3524539,3822245,3864584,4159579,4347657,4586694,4671034,4701091,4791091,4854754,5060659,5160634,5329579,5460350,5527162,5527612,5776339,5893114,6398779,6552420,6575971,6778605,6987514,6989248,7230512,7245165,7411714,7545379,7728176,7800500,7862904,7895554,8134326,8244931,8257762,8694198,8845767,9075944,9112891,9218332,9360600,9488829,9520954,9984640,10042005,10059331,10119994,10210437,10315939,10530675,10598074,10657762,10686556,10711472,10912171,10955962,11166619,11232720,11296225,11420419,11827497,11981568,12050406,12177931,12204034,12369405,12596251,12636810,12736762,12781064,13012771,13091194,13194032,13344691,13404909,13479264,13510461,13555470,13757971,13857154,13976157,14169451,14229165,14336956,14378697,14459168,14497339,14503162,14700412,14737594,14843286,15097989,15164172,15177776,15474091,15555019,15789052,15797371,15958225,16199851,16266564,16313314,16551165,16777954,16919779,17074998,17317219,17475691,17562041,17646394,17654576,17712859,18050434,18342139,18576931,18966811,19009749,19149870,19245005,19267689,19399132,19709965,19773154,19861398,19895179,20148104,20202331,20426528,20508331,20813179,21193372,21551356,21651514,21795979,21991162,22330234,22514545,22543699,22666617,22692379,22797929,22937725,22979844,23094006,23136691,23336956,23343994,23499165,23624674,23651779,23651958,23693212,24106901,24132009,24163339,24236131,24296674,24614589,24743659,24799162,25065776,25088630,25247659,25355962,25605499,25735557,25855714,25966594,26132794,26456971,26668219,26886556,26939549,27016762,27017454,27063561,27088771,27158611,27457544,27525270,27576139,27853051,28197571,28198998,28226597,28298332,28881211,28968797,28990714,29002492,29154274,29287939,29360288,29557651,29639144,29759179,29960059,30106356,30426259,30558811,30757099,30757852,30889737,30889954,31105762,31413379,32050117,32126971,32143917,32218525,32261205,32512531,32533869,32568470,32716162,33022579,33030324,33344037,33402091,33834874,33899356,34028851,34100194,34231457,34259194,34339531,34411952,34438430,34709384,35016691,35019165,35052034,35119574,35199859,35368162,35420794,35564251,35805739,35832377,35840900,35865931,35893762,35980732,36443645,36463891,36626914,36774381,36992314,37054651,37148674,37353776,37593992,37869619,38042419,38214571,38377585,38485070,38500051,38613739,38662230,38713446,38739772,38896699,38962234,39048057,39082164,39255357,39401491,39426652,39457219,39623971,40010539,40064205,40323710,40454812,40478889,40796294,40827019,40934659,41042011,41180005,41186792,41239712,41315962,41326116,41661129,42022998,42047491,42099691,42293241,42514699,42631354,42735152,42822931,42843772,43009080,43026979,43128571,43134394,43381291,43487405,43732374,43779025,43920149,44035834,44079331,44374171,44515821,44859811,45031354,45080962,45328762,45331165,45378274,45479144,45527611,45590006,45621859,45856219,45876352,45894556,45949459,46007805,46042411,46053102,46139817,46182084,46335141,46394676,46502851,46685011,46762869,47180011,47247874,47446339,47622451,47797411,48077046,48207614,48319714,48329192,48377469,48385215,48388452,48744165,48755962,49024118,49074992,49114291,49190914,49416006,49431994,49480162,49524331,49686331,50008954,50058669,50086291,50170820,50361979,50440099,50593852,50927356,51092491,51164037,51170024,51189110,51203554,51346234,51503539,51515849,51610896,51687499,51833371,51868162,51869659,51993776,52062350,52121659,52184886,52293754,52534830,52580299,52659845,52718971,52840605,52856491,52859194,52924819,52995025,53060611,53228731,53281762,53689891,53754619,54010651,54158601,54370341,54397398,54448762,54631621,54689885,54929731,55097914,55112205,55209366,55393411,55562539,55566172,55742709,55756579,55784011,56027659,56037152,56317531,56340994,56343451,56363312,56497459,56698771,56748379,56833437,56919739,57111259,57158419,57209212,57275059,57435331,57481594,57536956,57566277,57592225,57605300,57708514,57745291,57773397,57807021,57834165,57930158,57978931,58031092,58050629,58062258,58161154,58280420,58400779,58458451,58492998,58496539,58627579,58646011,58719019,58786352,58826371,58844011,58948339,59066779,59196154,59197819,59355139,59416051,59460979,59475811,59509474,59548891,59577619,59716939,59743939,59836171,59866594,59937259,60057139,60105017,60136771,60178234,60180691,60204984,60325339,60335131,60401659,60429091,60551805,60572299,60595411,60674611,60745099,60768571,60785419,60836899,60843394,60872899,60934099,60953251,60975994,60976219,60980971,60991339,60992851,61426932,61460962,61620065,61689776,62126245,62381434,62474820,62743070,62837769,62947714,63041796,63140744,63191814,63208162,63408726,63424762,63547149,63594030,63709372,63763581,64330114,64458874,64474525,64588592,64620165,64668981,64715962,64887034,65071605,65128580,65235944,65627862,66134646,66639808,66962269,67327005,67730607,67833632,67880962,68047234,68506277,68826556,68868020,68915962,68928176,69110670,69126360,69286114,69400998,69409712,69736762,69900154,69936504,69981754,70144762,70348162,70404429,70726492,70947129,71033337,71318914,71560162,71672600,71720674,71781321,71815472,71828805,72160762,72182504,72519394,72662166,72995554,72996077,73065317,73127300,73322965,73330761,73351162,73390437,73594070,73705474,73718048,73734784,73738756,73870012,73944078,74326406,74551494,74969784,75148474,75228350,75239661,75291684,75634184,75688762,75909025,76312836,76490497,76493314,76617392,76645762,77215162,77369430,77544198,77654969,77767155,77913532,78006274,78085926,78154296,78222556,78678567,78864634,79051557,79124194,79640962,79788034,79901805,80070652,80631675,80771894,80774074,80792406,80796405,80957289,81205317,81405741,81582116,81602812,81820162,82173182,82322669,82401789,82494344,82527392,82640181,82641624,82769477,82901560,82923514,82929470,82932804,82951632,82963892,83067897,83205754,83439629,84081154,84150754,84289762,84341007,84545301,84808762,84903245,85015354,85084329,85088457,85118434,85196649,85228592,85631674,85784741,85864310,86007120,86182832,86194566,86208994,86582792,86599605,86647354,87049594,87149794,87298525,87515962,87659452,87752760,87814114,87923583,87987558,88045114,88312884,88340962,88438537,88831497,88856956,88936169,89216229,89479162,89571025,89768674,90049852,90274020,90456429,90644572,91090830,91127289,91199845,91345341,91665634,91696762,91740928,91852162,92372912,92806137,92843316,92959234,92971827,93263074,93264255,93320586,93350792,93602944,93705445,94140201,94313914,94432762,94846714,94876162,95068252,95251142,95488005,95882166,96184762,96236956,96292288,96377725,96758010,96955686,97163552,97180162,97292674,97405641,97730045,97866110,97879162,98035652,98128354,98165397,98239526,98721855,98849692,99003874,99274114,99354874,99481872,99489154,99515364,99914205,99917769,...,1564163207858620315845993015468256317727638260362918117599440347493197818557902854000873733618272404358883351541581450133407167915363897496615436756210221226376511896073945915102899066070545017044602274628864926664709195944992607021641686963717397037901705702887813791500206743279257248102040767242926718881287557682592628000551345107869523892438475109529262555802648498804458539000953651287380604835622788862717511930310062525970418427454711201002644518921232106131132317959916092372293746668002023662920617395476515900445713344834586168850116665218390645643124567329921972013834737816048819299208699389220325766780045601946510443460918853931164647363521019902500221297749430091895252858189035388636560384666489404681848625473899571470328008623559419310337830232363425010090483300633847621468802307000214481849821413230252263460839432456351723252777601397079705099158575025557597760147453815001300536973948345559589427626129067108229130120106338260724591154240121925861066741426645060916868867788497858463410641963497679520194157556558837463766923957245277767773450356049957599242149922252317960465774381908990179981191476723210257582620423943541471327401752378010655738296660729596409520977542141763981157255259487016675471217165500570064594820989165743586514983508155561851021441735425880261579008438950271435161944254165099773966422794696139436626801195551659287996749557901754167479627200204620104299708093201633566377779689425160873436558226791854492407217064348016794430833829196082896747468390181241029999940464581229366761048537502932799825760486510085882434534286717152386072657284091619949570225409671315146486836610449640320304773731529668072929167172080060750950542757835036579949180762770510619064529755558237897998991061660200328245693573478368004208255777771768248541978024828984543050875099829877833843060920225248423493266434507841575806305510800458296118649662230399952541913666009788113986488608642297952292002160977863624133553179852457852297619529655432680935648070441038990043626307780421743858140532007353475250668669362192993467513338764680109336692229429346716958736197780903103243877873796718716146518378678881487886039878824325159458209197021010796510260716017881092278864113584331139713112045344943725205034941164758519368105178775759611953205065034419201276820682931654954256112921616236980366998889253167660955955525446514911910911371173117421629738019597750568876470547054983504008645827514269641644945636420705999150904428810572772173533270944959953458}
15621  4219798117092576772876611639545963851647028685355718910376418718: {31238,515031,764743,795651,1092490,1310988,1419691,1560700,1729491,1872840,1997696,2028130,2106945,2247408,2402554,2433756,2528334,2753943,3125751,3381511,3432220,3658715,4118664,4390458,4633497,4830730,4970339,4979031,5625463,5796876,6092171,6115592,6326698,6762154,6880041,6909515,7006551,7021619,7282131,7740951,7941451,8190525,8290743,8291418,8736560,8839671,9038140,9318634,9372538,9660220,9750625,9828630,10066618,10092599,10384523,10481271,10483872,10845768,11117571,11183431,11249482,11344930,11522915,11544778,11592264,11700750,11794356,11843331,12201489,12386643,12480800,12651772,12711703,13041297,13280554,13358195,13389340,13536211,13613916,13827498,14011451,14040900,14176151,14281431,14952199,14976960,14977378,15179991,15447754,15769996,15897111,15975424,15976330,15986643,16029834,16067208,16433943,16492540,16810631,16849080,17629591,17873212,17921195,17972352,18012019,18013948,18073960,18075609,18306051,18340282,18375515,18490139,18634876,18955215,18972220,19013098,19105143,19171596,19262771,19559371,19636791,19736315,19791048,20130652,20218896,20333205,20785731,21505434,21688752,21754743,21932554,22050618,22068220,22106391,22264929,22746258,22747258,22766664,22907434,23317811,23683578,24025351,24240922,24248915,24399846,24469971,24725731,25166931,25185130,25340579,25346332,25355591,25533160,25612497,25690252,25934251,26469591,26481418,26481864,26491715,26939195,27075651,27975082,28189043,28368791,28724805,29098698,29171195,29616515,29659731,29792097,30110458,30222156,30370711,30639792,30792008,31332220,31535491,31535944,31790058,31892458,32086003,32176012,32232034,32327034,32477271,32684554,32819452,32894743,32986743,33100474,33399971,33495351,33608195,33740171,34299143,34314076,34321930,34458371,34469766,34641009,34842922,35005434,35015991,35372915,35437011,35477937,35539818,35673994,35999531,36022643,36023272,36038443,36084748,36253115,36299731,36445011,36700360,37048930,37198743,37393258,37598664,37632945,37986439,38033943,38411351,38447315,38783571,38949891,39199191,39411251,39794251,40141808,40329834,40525143,40526181,41186316,41287905,41895211,42288043,42298497,42374195,42406199,42447498,42858556,42940618,43014940,43071898,43378492,43386730,43486071,43503738,43731411,43918498,44040432,44328919,44458716,44687191,44773771,44801125,44975915,45159534,45286474,45494554,45518434,46136778,46334931,46587451,46602071,46658643,46692220,46992490,47151394,47381939,47814583,48424715,48717611,48852705,49032508,49074243,49283315,49317898,49545486,50046011,50568515,50752311,50849034,51150291,51388791,51438058,51483490,51549640,51617928,51657645,52064076,52109552,52337879,52340476,52458202,52578051,52679361,52736291,53052243,53131191,53367754,53418940,53554715,53761350,53840643,53971098,53971852,53978554,54940371,55101488,55206931,55248151,55488471,55548172,55723011,55897738,56030664,56390988,56515018,56848930,57081451,57345440,57368195,57417058,57727605,57993345,58070169,58109658,58258871,58309832,58315211,58443351,58623246,58723114,58736339,59139978,59339843,59354428,60312154,60411490,60485565,60655258,60682218,60733498,61194441,61343740,61404136,61430314,61519756,61576112,61702519,61780188,61859568,61973943,61989174,62350492,62713525,62838538,62994538,63034497,63159691,63242315,63319891,63659195,63947031,63962530,64102728,64151351,64265658,64503292,64513620,64517936,64701591,64992220,65447434,65598561,65736931,65888008,66053751,66179911,66578359,66729203,66744892,66887923,66902251,67036138,67040218,67547031,67621443,67880051,67993143,68067411,68218716,68385009,68814528,68841834,69079653,69230083,69273126,69457715,69579848,69592014,69781931,70046440,70338019,70454140,70871811,71071402,71511515,71658611,71797258,71921195,72006625,72115569,72182551,72211468,72269959,72311421,72479571,72493788,72529864,72538865,72582678,72714811,72850525,73133943,73405834,73450331,73482940,73536177,73612488,73786371,74124009,74147991,74220243,74323612,74575018,74672698,74880179,75013431,75256230,75409978,75759943,75777916,75890778,76391034,76755036,76783665,76805331,76820579,77019351,77031196,77076028,77112220,77342434,77416344,77783543,77802243,77952631,77990664,78093525,78277329,78440631,78802245,78925930,78939319,79288791,79325434,79636715,79725239,79922643,80008883,80273312,80735740,80813083,80826298,81248723,81410725,81494794,81544930,81596097,81665002,81673143,81681943,81902576,82113371,82370263,82381643,82646871,82794851,82814049,83118451,83299760,83349258,83587031,83783692,84055728,84255752,84377911,84428423,84511491,84544968,84550499,84729532,84792040,85018108,85217434,85306139,85562938,85813818,86033195,86085025,86160220,86222391,86225308,86305434,86407950,86562771,86743331,86762140,86895237,87046638,87093387,87163618,87241731,87420630,87483562,87503816,87679331,87739497,88179528,88408115,88794231,88940074,89122138,89190634,89264211,89590750,89615443,89769340,89799891,90228130,90267351,90307476,90470443,90864473,90923683,91052311,91147031,91265091,91409125,91463991,91554658,92132099,92132938,92140398,92147560,92168480,92173445,92191443,92229731,92278903,92337515,92534664,93129634,93248672,93253258,93427114,93572151,93712230,93872572,94114605,94421571,94542730,94562694,94596172,94711116,94787721,94812243,94840523,94947079,95082551,95113089,95137143,95391045,95564058,95708428,95731051,95771740,96039319,96495171,96688311,96882888,97073943,97330551,97391915,97692870,97698059,97774348,97778195,97853916,97955891,98195818,98441793,98592104,99201969,99401992,99959712,...,2346244811787930473768989523202384476591457390544377176399160521239796727836854281001310600427408606538325027312372175200110751873045846244923155134315331839564767844110918872654348599105817525566903411943297389997063793917488910532462530445576095556852558554331720687250310114918885872153061150864390078321931336523888942000827017661804285838657712664293893833703972748206687808501430476931070907253434183294076267895465093788955627641182066801503966778381848159196698476939874138558440620002003035494380926093214773850668570017251879253275174997827585968464686850994882958020752106724073228948813049083830488650170068402919765665191378280896746971045281529853750331946624145137842879287283553082954840576999734107022772938210849357205492012935339128965506745348545137515135724950950771432203203460500321722774732119845378395191259148684527584879166402095619557648737862538336396640221180722501950805460922518339384141439193600662343695180159507391086886731360182888791600112139967591375303301682746787695115962945246519280291236334838256195650385935867916651660175534074936398863224883378476940698661572863485269971787215084815386373930635915312206991102628567015983607444991094394614281466313212645971735882889230525013206825748250855096892231483748615379772475262233342776532162603138820392368512658425407152742916381247649660949634192044209154940201793327488931995124336852631251219440800306930156449562139802450349566669534137741310154837340187781738610825596522025191646250743794124345121202585271861544999910696871844050141572806254399199738640729765128823651801430075728579108985926137429924355338114506972719730254915674460480457160597294502109393750758120091126425814136752554869923771144155765928596794633337356846998486592490300492368540360217552006312383666657652372812967037243476814576312649744816750764591380337872635239899651761762363709458266200687444177974493345599928812870499014682170979732912963446928438003241466795436200329769778686778446429294483149021403472105661558485065439461670632615787210798011030212876003004043289490201270008147020164005038344144020075438104296671354654865816810695078074219777568018322231829059818236487739187313795531516194765391074026821638418296170376496709569668068017415587807552411747137779052157768163639417929807597551628801915231024397482431384169382424355470550498333879751491433933288169772367866367056759676132444607029396625853314705820582475256012968741271404462467418454631058998726356643215859158260299906417439930187}
15622  4238496940206207756488307809070632705002771231869133334563119796: {46857,405782,592838,638821,686708,825157,1060868,1104121,1153142,1638735,1747984,1898198,1950875,1966482,2305477,2305988,2341050,2455478,2497120,2764297,2809260,2996544,3042195,3245008,3371112,3381398,3603831,3650634,3671924,3676537,3792501,3935222,4039417,4167668,4290275,4491397,5148330,5351143,5389957,5479417,5491552,5588918,5853944,5925637,5954822,6177996,6585687,6638708,6812677,6989221,7049078,7246095,7429321,7644490,7729168,7867621,8319158,8565157,8695314,9173388,9342068,9402182,9490047,9582182,9709508,9774757,10121318,10143231,10203337,10321268,10659158,10920700,11054324,11055097,11055224,11297675,11552678,11786228,11983717,12075275,12402937,12437127,12737017,12797558,12986821,13104840,13151942,13557210,13975028,13977951,13978496,13979557,14058807,14390137,14461024,14490330,14742945,14823428,15043321,15090758,15099927,15449221,15456352,15601000,15725808,15791108,15814715,16014457,16268652,16489862,16515524,16736675,16874223,17017395,17317167,17388396,17551125,17691534,18151888,18225782,18436664,18631621,18721200,18865657,18977658,19041908,19563877,19712495,19920831,19969280,20084010,20118662,20239988,20420874,20615675,20631878,20741247,21061350,21196148,21315524,21373112,21422944,21824342,21911924,22074121,22333238,22341515,22465440,22466067,22517435,22592450,22596517,22840838,23171631,23293595,23654994,23715275,23777317,23923621,23963136,23964495,24044751,24100812,24355862,24408068,24738810,25155577,25163315,25192502,25273620,25473524,25562128,25728121,26025542,26083621,26182388,26225317,26388064,26437321,26689382,26809818,26929477,26943007,26958528,27020922,27110940,27278857,27510423,27515942,27585275,27593951,27714308,27952314,28041157,28338902,28384777,28458330,28519647,28673912,28757394,28918336,28994678,28998757,29006324,29400824,29475188,29686572,30195978,30328344,30355552,30739717,30948182,31110038,31520363,31526821,31578104,31594742,31656997,31682915,31916450,32054231,32112815,32258151,32367817,32399702,32533128,32626628,32898831,33075927,33102330,33555908,33637897,33839558,34075621,34119387,34120887,34149996,34235851,34361151,34509817,34634438,34879177,34951382,35001721,35124082,35184997,35292788,35309152,35425718,35525367,35820719,35911621,36100868,36361383,36599769,36684278,36687097,36982117,37153862,37508617,37566757,37777695,37877411,37933622,37971721,38019498,38299740,38490010,38535378,38657737,38798264,38996857,39165275,39419930,39546308,39722127,39722796,39790358,39833317,39943621,40220015,40296208,40404662,40653577,40853056,41016662,41024315,41191417,41298121,41626358,41962623,42089221,42386744,42892595,43102712,43118821,43303028,43591958,43648047,43982324,44267257,44660468,45029090,45087398,45091621,45105935,45165687,45187237,45333234,45384758,45595858,45875450,45895177,45959688,46188012,46273382,46404037,46495621,46673912,46687988,46998330,47039077,47249348,47303558,47303916,47386424,47484037,47528137,47685087,47838687,48051721,48180997,48213802,48264018,48326678,48348051,48352357,48472262,48480121,48490551,48593348,49026277,49026831,49229178,49438117,49487318,49598324,49650711,49722121,49802617,50131552,50177260,50495318,50711924,50975497,51013477,51021103,51164677,51210998,51471114,51482895,51537637,51704649,51711428,51933188,52264383,52265588,52473637,52508151,52717321,52913942,53160517,53227621,53309727,53336438,53510991,53573195,53728619,53768675,53773112,53879098,54033524,54034908,54127122,54136837,54177542,54223115,54317222,54355321,54600697,54751717,54871237,54915088,54960121,55050540,55152278,55193977,55394821,55536121,55573395,55592137,55706102,55758457,55813321,56089887,56395142,56397996,56453194,56525797,56596664,56898937,57279097,57371257,57652007,57762422,57937594,57981428,58004984,58046437,58087621,58189321,58229497,58308548,58365275,58399319,58426057,58575878,58720576,58725577,58761721,58815397,59115302,59156677,59278288,59454217,59498821,59518358,59670757,59684617,59752837,59909221,59920118,59971321,59995657,60124357,60212712,60285817,60374917,60475897,60494751,60518917,60535621,60629797,60700357,60781321,60798277,60852518,60882121,60882367,60914377,60932197,60938821,60959737,60992677,61000057,61011397,61117622,61290635,61514198,61515704,61779474,61779908,62211524,62826758,63463631,63671247,64100234,64253942,64287834,64410927,64437050,64522410,64564643,64607847,65025062,65067738,65080095,65136940,65255607,65425595,65432324,65877747,66045158,66060648,66688074,66773675,66804182,67464815,67669748,67739301,67798712,67929711,68057702,68200388,68241831,68277651,68462914,68518388,68679062,68823904,68876860,69205167,69418768,69435215,70033382,70038330,70104068,70239148,70399718,70488735,70727091,70736324,70841588,71128502,71611478,71664754,71681800,71731862,71787524,71961464,72887290,72927782,73253828,73548762,73723783,73976847,73984628,74109302,74193035,74297348,74318229,74707552,74840183,75187984,75739238,76084838,76273551,76429142,76565839,76679675,76755170,76899695,76970140,77000102,77157087,77188199,77225235,77227478,77324460,77426892,77479544,77793398,77924468,77938115,78096114,78164328,78510714,78687303,78802982,78853304,78914438,79137227,79247942,80021078,80051631,80128410,80629115,80642025,80647420,80909624,80956647,80957778,80967831,81240275,81592588,81654038,81869318,82084022,82360010,82373584,82479424,82631924,82652232,83322258,83431115,83846607,84045996,84094982,84199382,84586482,84772527,85029398,85262708,85273395,85470304,85489379,85645862,85687544,86018160,86053958,86125587,86257142,86268091,86268788,86762582,86974810,86976743,87164487,87464748,87558050,87840298,87934869,88067675,88071668,88084671,88158662,88709967,88748342,89031642,89719622,90062708,90161924,90264335,90468231,90617235,90657524,90662330,90756548,90958288,90982887,91023327,91055222,91100247,91180012,91243718,91712438,91752704,91789112,91853675,91898918,92015610,92084822,92106204,92145471,92279634,92364168,92670282,92789352,92904515,92983761,93005702,93370022,93525738,94257807,94360022,94491807,94495748,94722395,94892678,95244902,95594822,95943795,96154092,96288995,96345035,96390275,96398487,96415228,96639428,96658384,96754938,96770430,96776904,97290427,97488330,97511924,98048236,98149984,98171151,98228582,98381828,98832012,98863988,98960324,99048662,99372662,...,3128326415717240631691986030936512635455276520725836235198880694986395637115805708001747467236544808717766703083162900266814335830727794993230873512420442452753023792147891830205798132141090034089204549257729853329418391889985214043283373927434794075803411405775627583000413486558514496204081534485853437762575115365185256001102690215739047784876950219058525111605296997608917078001907302574761209671245577725435023860620125051940836854909422402005289037842464212262264635919832184744587493336004047325841234790953031800891426689669172337700233330436781291286249134659843944027669475632097638598417398778440651533560091203893020886921837707862329294727042039805000442595498860183790505716378070777273120769332978809363697250947799142940656017247118838620675660464726850020180966601267695242937604614000428963699642826460504526921678864912703446505555202794159410198317150051115195520294907630002601073947896691119178855252258134216458260240212676521449182308480243851722133482853290121833737735576995716926821283926995359040388315113117674927533847914490555535546900712099915198484299844504635920931548763817980359962382953446420515165240847887082942654803504756021311476593321459192819041955084283527962314510518974033350942434331001140129189641978331487173029967016311123702042883470851760523158016877900542870323888508330199547932845589392278873253602391103318575993499115803508334959254400409240208599416186403267132755559378850321746873116453583708984814434128696033588861667658392165793494936780362482059999880929162458733522097075005865599651520973020171764869068573434304772145314568183239899140450819342630292973673220899280640609547463059336145858334344160121501901085515670073159898361525541021238129059511116475795997982123320400656491387146956736008416511555543536497083956049657969086101750199659755667686121840450496846986532869015683151612611021600916592237299324460799905083827332019576227972977217284595904584004321955727248267106359704915704595239059310865361871296140882077980087252615560843487716281064014706950501337338724385986935026677529360218673384458858693433917472395561806206487755747593437432293036757357762975772079757648650318916418394042021593020521432035762184557728227168662279426224090689887450410069882329517038736210357551519223906410130068838402553641365863309908512225843232473960733997778506335321911911050893029823821822742346234843259476039195501137752941094109967008017291655028539283289891272841411998301808857621145544347066541889919906916}
15623  4257277968547342551113784643943241875170626269130304615400087845: {62476,608673,858385,889257,1030062,1326085,1529486,1591302,1729713,1887721,2184980,2621976,2839382,2847297,2882485,2949723,3121400,3458982,3511575,3683217,3745680,3995392,4056260,4213890,4494816,4589905,4805108,4867512,4970977,5056668,5072097,5122201,5209585,5313121,5475951,5507886,5874037,5902833,6092953,6251502,6763022,6808897,6864440,7317430,7364137,7722495,8237328,8298277,8298385,8383377,8780916,8932233,9070897,9266994,9661460,9673321,9792901,9940678,9958062,10434721,10573617,11100697,11250926,11466735,11593752,11677585,11927617,12136885,12137521,12184342,12231184,12431641,12478737,12653396,12901585,13042971,13524308,13650875,13760082,13817905,13819030,14013102,14043238,14103273,14373273,14564262,14672137,14732785,15181977,15481902,15659857,15882902,15988737,16132081,16381050,16581486,16582836,16753633,17232721,17329017,17468785,17473120,17679342,18076280,18529285,18637268,18701473,18745076,19196337,19320440,19392097,19501250,19657260,19727913,19738885,19765321,20133236,20185198,20335815,20644405,20769046,20852761,20962542,20967744,21089137,21691536,21735495,22235142,22366862,22498964,22636137,22689860,22765093,23045830,23089556,23184528,23401500,23588712,23658217,23686662,23802385,23886517,24402978,24734793,24773286,24961600,25089673,25299985,25303544,25423406,25680721,25725721,26069833,26082594,26124421,26495185,26537301,26561108,26644405,26716390,26778680,27072422,27227832,27338673,27389905,27557413,27630841,27654996,28022902,28081800,28352302,28466487,28562862,28715941,29380417,29762053,29904398,29947957,29953920,29954756,30126015,30168961,30177993,30359982,30510085,30631311,30895508,30947817,31505401,31539992,31592025,31751017,31794222,31841905,31950848,31952660,31973286,32059668,32134416,32727985,32736513,32867886,32985080,33499857,33526753,33621262,33698160,33739057,33888675,33895441,33948481,34261257,34642885,35259182,35386033,35482491,35745721,35746424,35842390,35944704,36024038,36027896,36147920,36151218,36257905,36533793,36548521,36612102,36680564,36712393,36751030,36843985,36980278,37088401,37108215,37269752,37334977,37714873,37788753,37910430,37944440,38026196,38128273,38210286,38343192,38512297,38525542,38749777,39038313,39118742,39273582,39472630,39472693,39582096,40034073,40214727,40260601,40261304,40415617,40437792,40531383,40666410,40783285,40839673,41273913,41463121,41571462,41928471,41944885,42411721,42508353,42687495,42792553,43010868,43136091,43377504,43492017,43509486,43593061,43831321,43865108,44101236,44115985,44136440,44212782,44404657,44529858,45126085,45152521,45196633,45293967,45378997,45395233,45492516,45494516,45533328,45814868,46422273,46576933,46635622,46665057,46944361,47051473,47367156,47388121,47392113,47719177,47874675,48050702,48481844,48497830,48502897,48599553,48799692,48939942,49373137,49428817,49432885,49451462,49522081,49653495,50116417,50333862,50370260,50570053,50681158,50692664,50711182,50754361,50759337,51031621,51066320,51224994,51380504,51868502,51951657,52427073,52674457,52686123,52939182,52950577,52962836,52963728,52983430,53138577,53826241,53878390,54128785,54151302,54977905,55026417,55308793,55730793,55764673,55825585,55933777,55950164,55996837,56378086,56533957,56737582,56900433,56964961,57029247,57449610,57540361,57735015,57803067,58197396,58316953,58342390,58359985,58594657,59061685,59129895,59233030,59250697,59319462,59323873,59584194,59685537,59862661,59957893,60220916,60438193,60444312,60606993,60741422,60741685,60892453,61259641,61279584,61384033,61524993,61584016,61853857,61997905,62439537,62664440,62721575,62787121,62966281,63070982,63071888,63389905,63506377,63580116,63784916,64172006,64352024,64464068,64639285,64654068,64692613,64900177,64916485,64954542,65331985,65369108,65387937,65638904,65789486,65973486,66200948,66321001,66799942,66990702,67059781,67216390,67480342,67541905,67543635,67624897,67631097,67794601,67999851,68077137,68393787,68598286,68628152,68643860,68813175,68851393,68916742,68939532,68996641,69148837,69282018,69410073,69685844,70010868,70024537,70031982,70490377,70497495,70745830,70795921,70874022,70955337,70955874,71079636,71191273,71331217,71347988,71999062,72045286,72046544,72076886,72169496,72184261,72320703,72396027,72476785,72490017,72506230,72599462,72708393,72885685,72890022,73270417,73400720,73843767,74097860,74230977,74397486,74712961,74786516,74904793,74976601,75154153,75197328,75265890,75742977,75815233,75972878,76067886,76274053,76816497,76822702,76894630,77153857,77206671,77224885,77567142,77764405,77899782,78398382,78822502,78868633,79237441,79370913,79546693,79588502,79845481,80004657,80262433,80283616,80315473,80659668,80818647,80902837,81050286,81052362,81190683,81266313,81421175,81475833,81668521,81790405,82372632,82392421,82575810,82728417,82987321,83559153,83790422,84002917,84434353,84439417,84576086,84587185,84592713,84596994,84679791,84748390,84812398,84894996,85134937,85250485,85526737,85647985,85717112,85881236,86029880,86045353,86096075,86143796,86199397,86486521,86643633,86756984,86773460,86788057,86906391,86972142,87007476,87462822,87476101,87630085,87798935,87836996,87863817,88009657,88080864,88420405,88494757,88517641,88539241,88551985,88609777,88657838,88672953,88917432,89122873,89277537,89318197,89374382,89547542,89602250,89734405,89880177,89951830,90012841,90319068,90572948,90787957,90974713,90989108,91036868,91189321,91278777,91567285,91676433,92073601,92229721,92271297,92273556,92480785,92669211,92669862,92871685,93174902,93204142,93317286,93384440,93714553,93956497,93984980,94128577,94220737,94240137,94302788,94763878,94852897,95255221,95545657,95629166,96150351,96212675,96380913,96431751,96592453,96655575,96783615,96849430,97240801,97405585,97435222,97537593,97601607,97705410,98065016,98107561,98148486,98566630,98635796,98658613,98784673,98920657,99006697,99067737,99090972,99411721,99923317,...,4692489623575860947537979046404768953182914781088754352798321042479593455673708562002621200854817213076650054624744350400221503746091692489846310268630663679129535688221837745308697198211635051133806823886594779994127587834977821064925060891152191113705117108663441374500620229837771744306122301728780156643862673047777884001654035323608571677315425328587787667407945496413375617002860953862141814506868366588152535790930187577911255282364133603007933556763696318393396953879748277116881240004006070988761852186429547701337140034503758506550349995655171936929373701989765916041504213448146457897626098167660977300340136805839531330382756561793493942090563059707500663893248290275685758574567106165909681153999468214045545876421698714410984025870678257931013490697090275030271449901901542864406406921000643445549464239690756790382518297369055169758332804191239115297475725076672793280442361445003901610921845036678768282878387201324687390360319014782173773462720365777583200224279935182750606603365493575390231925890493038560582472669676512391300771871735833303320351068149872797726449766756953881397323145726970539943574430169630772747861271830624413982205257134031967214889982188789228562932626425291943471765778461050026413651496501710193784462967497230759544950524466685553064325206277640784737025316850814305485832762495299321899268384088418309880403586654977863990248673705262502438881600613860312899124279604900699133339068275482620309674680375563477221651193044050383292501487588248690242405170543723089999821393743688100283145612508798399477281459530257647303602860151457158217971852274859848710676229013945439460509831348920960914321194589004218787501516240182252851628273505109739847542288311531857193589266674713693996973184980600984737080720435104012624767333315304745625934074486953629152625299489633501529182760675745270479799303523524727418916532401374888355948986691199857625740998029364341959465825926893856876006482933590872400659539557373556892858588966298042806944211323116970130878923341265231574421596022060425752006008086578980402540016294040328010076688288040150876208593342709309731633621390156148439555136036644463658119636472975478374627591063032389530782148053643276836592340752993419139336136034831175615104823494275558104315536327278835859615195103257603830462048794964862768338764848710941100996667759502982867866576339544735732734113519352264889214058793251706629411641164950512025937482542808924934836909262117997452713286431718316520599812834879860374}
15624  4276141560660758571403285592041356640020438995067426838003269757: {78095,93714,265319,358823,638903,669983,811564,1135223,1185676,1277642,1289903,1373416,1506119,1545093,1650314,1752743,1968119,2029583,2121736,2208242,2294229,2306284,2336423,2386953,2428319,2520143,2673023,2731225,2795183,3039119,3252143,3277470,3434423,3495968,3586103,3707303,3796396,3858623,3901750,3932964,4039943,4259073,4491983,4610954,4611976,4682100,4762343,4852319,4910956,4994240,5070325,5151719,5188473,5301119,5390663,5528594,5618520,5837303,5993088,6006385,6045119,6084390,6320835,6490016,6548183,6742224,6762796,7019543,7207662,7301268,7343848,7353074,7371719,7585002,7605863,7870444,7897823,8078834,8159903,8247119,8261829,8335336,8479343,8580550,8595263,8913383,8982794,9115319,9377253,9604103,10062023,10119119,10144533,10296660,10461023,10702286,10779914,10830119,10915103,10958834,10976145,10983104,11177836,11254319,11479823,11707888,11817119,11851274,11909644,12013343,12076825,12237119,12355992,12599663,12655319,12933119,13016303,13071719,13171374,13277416,13348319,13403543,13625354,13816703,13900491,13978442,14098156,14173319,14228063,14492190,14501303,14583119,14858642,14911017,14937093,15045383,15072503,15288980,15451343,15458336,15478343,15735242,15801719,15816745,15855503,16638316,16818143,16876389,16905385,17130314,17136719,17216183,17322023,17390628,17480543,17533319,17612423,17796719,18276513,18321119,18346776,18399503,18582119,18634223,18660263,18684136,18804364,18894263,18980094,19164364,19419016,19549514,19566623,19669583,20242636,20259119,20286462,20406674,20514119,20565023,20640123,20642536,20728545,20819063,20945783,21019653,21064857,21318316,21726983,21841400,21846393,21852263,22027319,22108648,22110194,22110448,22140601,22595350,22599743,22773119,23105356,23143319,23222853,23296585,23431345,23572456,23585183,23824353,23927063,23951423,23967434,24150550,24170303,24243119,24571575,24678503,24805874,24872229,24874254,25166545,25474034,25595116,25612943,25684319,25755623,25973642,26087423,26209680,26229143,26303884,26441183,26464703,26519013,27114420,27213119,27375743,27561119,27597493,27950056,27955902,27956992,27959114,28117614,28123705,28251719,28362325,28525943,28780274,28821719,28861945,28922048,28980660,29093543,29251875,29485890,29566463,29611319,29646856,29678543,30013583,30086642,30181516,30199854,30277797,30501719,30567983,30612119,30766343,30898442,30912704,31007903,31153569,31202000,31270319,31278121,31443813,31451616,31524409,31553303,31582216,31629430,32028914,32136719,32179703,32244119,32522423,32537304,32565119,32611033,32841863,32979724,33031048,33032663,33138383,33201385,33352713,33473350,33550293,33748446,33768503,34034790,34039319,34080863,34453319,34568745,34597463,34634334,34720703,34776792,34966319,35027543,35102250,35210783,35228641,35383068,35529993,35825317,35917223,35937263,36236903,36303776,36336383,36451564,36514943,36604467,36873328,36929063,37159929,37164119,37263242,37417463,37442400,37443445,37592063,37731314,37882273,37955316,37977743,38083816,38092823,38135109,38264903,38619385,38663903,39021863,39123891,39127754,39171719,39424990,39451319,39636719,39673703,39784463,39841662,39938560,39940825,40074585,40168020,40224623,40237324,40479976,40608633,40678223,40841748,40876223,41055383,41091119,41215943,41231350,41263756,41304863,41322623,41482494,41676143,42034353,42096143,42113543,42122700,42148319,42333577,42392296,42528453,42528743,42580319,42631048,42666119,42746224,42844293,42845888,43125983,43142903,43395743,43429319,43596719,43646783,43648684,43823848,43879463,44044703,44094119,44127023,44148242,44340119,44356081,44616743,44666476,44683030,44764213,44856597,44874983,44907119,44930880,44932134,44955263,44957941,45034870,45115223,45184900,45193034,45306119,45539973,45574583,45681676,45778319,45850705,45903023,46058183,46089119,46243319,46343262,46518863,46549319,46587190,46701119,47047223,47309988,47430550,47448119,47492303,47532745,47554634,47639063,47668319,47691333,47814119,47847242,47926272,47928990,47959929,47988023,48089502,48201624,48203783,48275303,48488663,48502823,48711724,48816136,48951719,49131743,49200623,49301829,49477620,49704119,49731023,49811543,50011583,50104319,50311154,50326630,50385004,50431893,50497319,50547240,50691119,50844863,50946719,50947048,51035423,51124256,51456242,51473063,51547103,51876719,51912983,52051084,52167242,52364776,52377863,52450634,52738703,52761719,52776128,52874642,52876319,52888773,52933319,52967423,53080583,53181743,53248823,53378764,53619636,53763585,53858954,53886014,53917056,53925119,54031319,54036057,54041844,54052463,54189119,54221880,54226827,54376103,54557714,54621383,54732263,54831385,54832223,54918153,54970823,55020846,55031884,55117583,55126545,55170550,55187902,55272143,55358183,55415183,55428616,55470417,55603103,55778663,55824383,55904628,55942319,55969343,56082314,56308021,56357423,56383319,56494703,56537183,56571023,56638319,56677804,56721719,56738303,56769554,56865645,56868145,56916660,56942903,57007319,57031343,57039294,57063263,57150383,57205319,57268585,57298583,57315429,57347824,57383063,57434041,57474119,57514788,57674783,57783743,57788313,57836672,57876719,57989356,57997514,58003223,58012648,58065503,58140743,58208303,58268423,58308143,58438463,58464143,58496063,58578119,58678113,58701719,58744223,58801648,58869383,58910373,58939319,58950376,59025119,59092463,59175023,59208945,59234423,59282303,59360663,59373144,59511983,59684063,59702543,59730023,59770703,59793023,59871719,59922743,59926943,59988983,60009263,60049633,60084503,60126743,60141863,60164303,60215543,60226319,60279119,60303143,60330119,60340103,60363119,60369623,60391956,60411119,60435983,60524663,60602305,60624119,60644183,60656688,60696719,60708119,60711104,60772319,60795983,60797903,60814823,60851783,60883703,60901319,60915119,60934319,60943823,60951719,60985319,60999615,61008023,61011719,61012703,61018319,61019423,61022303,61024319,61479434,61896364,62220076,62357193,62962825,63040726,63053642,63148309,63156208,63189484,63313994,63365830,63832900,64108462,64225630,64516302,64735634,64799404,65066256,65253256,65264229,65797662,66151854,66203545,66204660,66319173,66794787,67111816,67275794,67679116,68151242,68238774,68241774,68299992,68471702,68722302,69017377,69019634,69268876,69758354,69902764,69937705,69953433,70003442,70248164,70369994,70585576,70618304,70851436,71050734,71641438,71823242,72076053,72201736,72722766,72746745,73199538,73368556,73374194,73409913,73964234,74177193,74307724,75002473,75017234,75133514,75276145,75500793,75555390,75754822,75867244,75912361,75943442,76021737,76038996,76066773,76303669,76599480,76837491,76980020,77070756,77315474,77596528,77802753,77993714,78330550,78839860,79092616,79408773,79444254,79445592,79475145,79580716,79666634,79731145,79887242,80440030,80580085,80592416,80809324,80817585,80953477,81226953,81307154,81706112,81711385,82033324,82048630,82382834,82596242,82751185,83252716,83925246,84178442,84567129,84773488,85106373,85785190,85804825,85806889,86174415,86205424,86237642,86606056,87107305,87183916,87296094,87513585,87964648,88447489,88534514,88849545,88979193,89184985,89320936,89376291,90058180,90174796,90183242,90211870,90331374,90374474,90666468,90769516,91112133,91191716,91222417,91595833,91750900,91790354,91919376,92376024,92546764,92622325,92808074,92991242,93347824,93375976,93483145,93996660,94078154,94450741,94498696,94606473,94607116,94607832,94772848,94968074,95056274,95370174,95546953,95677374,96103442,96258009,96361994,96427604,96528036,96653356,96696102,96704714,96944524,96960242,96981102,97186696,97209301,97431813,98052554,98053662,98458356,98684229,98876234,98960229,98974636,99196648,99301422,99444242,99605234,...,7038734435363791421306968569607153429774372171633131529197481563719390183510562843003931801282225819614975081937116525600332255619137538734769465402945995518694303532332756617963045797317452576700710235829892169991191381752466731597387591336728286670557675662995162061750930344756657616459183452593170234965794009571666826002481052985412857515973137992881681501111918244620063425504291430793212721760302549882228803686395281366866882923546200404511900335145544477590095430819622415675321860006009106483142778279644321552005710051755637759825524993482757905394060552984648874062256320172219686846439147251491465950510205208759296995574134842690240913135844589561250995839872435413528637861850659248864521730999202321068318814632548071616476038806017386896520236045635412545407174852852314296609610381500965168324196359536135185573777446053582754637499206286858672946213587615009189920663542167505852416382767555018152424317580801987031085540478522173260660194080548666374800336419902774125909905048240363085347888835739557840873709004514768586951157807603749954980526602224809196589674650135430822095984718590455809915361645254446159121791907745936620973307885701047950822334973283183842844398939637937915207648667691575039620477244752565290676694451245846139317425786700028329596487809416461177105537975276221458228749143742948982848902576132627464820605379982466795985373010557893753658322400920790469348686419407351048700008602413223930464512020563345215832476789566075574938752231382373035363607755815584634999732090615532150424718418763197599215922189295386470955404290227185737326957778412289773066014343520918159190764747023381441371481791883506328181252274360273379277442410257664609771313432467297785790383900012070540995459777470901477105621080652656018937150999972957118438901111730430443728937949234450252293774141013617905719698955285287091128374798602062332533923480036799786438611497044046512939198738890340785314009724400386308600989309336060335339287883449447064210416316984675455196318385011897847361632394033090638628009012129868470603810024441060492015115032432060226314312890014063964597450432085234222659332704054966695487179454709463217561941386594548584296173222080464915254888511129490128709004204052246763422657235241413337156473304490918253789422792654886405745693073192447294152508147273066411651495001639254474301799864509317103599101170279028397333821088189877559944117461747425768038906223814213387402255363893176996179069929647577474780899719252319790561}
15625  4295088076642700389981710747384592942677846355365709497125856301: {124952,140571,1014455,1201739,1217346,1482095,1716770,1778514,1856519,1916463,2060124,2230943,2475471,2652170,2882855,3058972,3182604,3312363,3459426,3775442,4035479,4369960,4745495,4916205,5243952,5313803,5678764,5694594,5764970,5852625,5874791,5899446,6138695,6242800,6279143,6425867,6809771,6916431,6917964,7023150,7293419,7366434,7491360,7990784,8112520,8292891,8427780,8453495,8703071,8989632,9126585,9179810,9610216,9735024,9838055,9941954,10113336,10144194,10244402,10419170,10626242,10720151,10811493,10945007,10951902,11015772,11029611,11377503,11617739,11748074,11805666,12118251,12185906,12331943,12479423,12503004,12870825,13474191,13526044,13617794,13728880,13894187,13972295,14344343,14634860,14728274,14887055,15387851,15444990,16053429,16169871,16348619,16438251,16474656,16596554,16596770,16694807,16766754,16991639,17561832,17573963,17622695,17701199,17776911,17864466,18062219,18141794,18533988,19111225,19322920,19345067,19346642,19585802,19757061,19881356,19916124,20365943,20438031,20625899,20729483,20797895,20869442,20967663,21147234,21289319,21738285,21804023,22201394,22287963,22501852,22933470,23187504,23306027,23355170,23505455,23602863,23855234,23955455,24273770,24275042,24368684,24456299,24462368,24863282,24957474,25303295,25306792,25533863,25577639,25695471,25803170,25940999,26085942,26647895,27025799,27048616,27301750,27398783,27520164,27634439,27635810,27638060,27703643,27959711,28026204,28086476,28206546,28470141,28746546,28881695,28902167,29128524,29324271,29344274,29465570,30349943,30363954,30429693,30610011,30963804,31319714,31765804,31977474,31993895,32094287,32249579,32264162,32762100,32879855,33162972,33165291,33165672,33263471,33323339,33507266,33893025,34465442,34658034,34722311,34937570,34946240,35044439,35358684,35419979,35951151,36152560,36225825,37058570,37093259,37208811,37274536,37302167,37311381,37402946,37490152,37726895,37754123,38211051,38345867,38392674,38640880,38784194,38840951,38960463,39002500,39314520,39455826,39477770,39530642,39873431,39909803,40266472,40370396,40671630,40753823,40848347,41224655,41238719,41288810,41538092,41705522,41925084,41933853,41935488,41938671,42176421,42178274,42244943,42714119,43170411,43383072,43470990,44228835,44470284,44578667,44733724,44997928,45129963,45272274,45299781,45379720,45530186,45564455,45795191,45819179,46091660,46179112,46277591,46347663,46369056,46424423,46599479,46803000,47177424,47316434,47355083,47373324,47444145,47468879,47604770,47725403,47763911,47773034,47826971,48043371,48500039,48508583,48805956,48844139,48987947,49469586,49546572,49923200,50122943,50147063,50179346,50210025,50296655,50599970,50607088,50622669,50761067,50846812,51052185,51361442,51451442,51579695,51581579,51691739,51951501,52139666,52165188,52248842,52467227,52478231,52653375,52990370,53074602,53122216,53288810,53432780,53557360,53661323,54144844,54455664,54560855,54677346,54779810,55114826,55261682,55309992,55833095,55894863,56004143,56045804,56163600,56395391,56481125,56519471,56596971,56631839,56704604,56932974,57096599,57102095,57125724,57431882,57880811,58350071,58691631,58722839,58760834,59137485,59291711,59524106,59762493,59808796,59895914,59907840,59909512,60252030,60337922,60355986,60719964,60889655,60893579,61020170,61262622,61762379,61791016,61847025,61895634,62223741,62251631,62533823,62981255,63010802,63079984,63176519,63184050,63336239,63502034,63588444,63683810,63901696,63905320,63946572,64119336,64268832,64869191,65063855,65177771,65455970,65473026,65735772,65970160,66222363,66452639,66723455,66728351,66905327,66999714,67024545,67053506,67100183,67242524,67396320,67398201,67478114,67552305,67777350,67789551,67790882,67896962,68056271,68522514,68789855,69206039,69248231,69285770,69514893,69880785,70023551,70293767,70358783,70518364,70772066,70847255,70964982,71145825,71331951,71491442,71492848,71684780,71770863,71889408,71893485,72048076,72055792,72134253,72193679,72288683,72295840,72302436,72486695,72515810,72521951,72651239,73067586,73097042,73224204,73361128,73424786,73502060,73687970,73960556,74176802,74216430,74539504,74669954,74692523,74949167,75052991,75429746,75466731,75489945,75577506,75780299,75820860,75888880,76052392,76256546,76420572,76686384,76969067,77024594,77051084,77184363,77370455,77499554,77775095,78076626,78155819,78237484,78250863,78321119,78547164,78675951,78945260,78945386,78986855,79164192,79311963,79791125,79865579,80068146,80429454,80521202,80522608,80676527,80788431,80829021,80831234,80875584,80969591,80999255,81062766,81332820,81566570,81679346,81703979,81836571,82531269,82547826,82686359,82755825,82756271,82781853,82926242,83142924,83856942,83889770,84123471,84598895,84823442,85016706,85038359,85115207,85146023,85154331,85247471,85374990,85558941,85585106,85963679,86021736,86272182,86482343,86586095,86592311,86755008,86797067,86818523,86984034,86996271,87018972,87035483,87186122,87378455,87487559,87662642,87730216,87810205,88202472,88231970,88272880,88425564,88564295,88745867,88809314,89059716,89232791,89239067,89699423,90252170,90305042,90393266,90494999,90531647,90587934,90757994,90790466,90883079,90985032,90989032,91066656,91181831,91464779,91518239,91629736,91710695,92085647,92144183,92219151,92227019,92302811,92844546,92884655,93153866,93271244,93330114,93888722,94102946,94558667,94561089,94580463,94734312,94776242,94784226,94834055,94970991,95048745,95088599,95438354,95558123,95749350,96101404,96162693,96225025,96338445,96517343,96529547,96774453,96963688,96995660,97005794,97103451,97141463,97199106,97599384,97767407,97879884,98549825,98696493,98746274,98857634,98865770,98902924,99044162,99227781,99250943,99303599,99306990,99417191,99475895,99711371,...,9384979247151721895075958092809537906365829562177508705596642084959186911347417124005242401709634426153300109249488700800443007492183384979692620537261327358259071376443675490617394396423270102267613647773189559988255175669955642129850121782304382227410234217326882749001240459675543488612244603457560313287725346095555768003308070647217143354630850657175575334815890992826751234005721907724283629013736733176305071581860375155822510564728267206015867113527392636786793907759496554233762480008012141977523704372859095402674280069007517013100699991310343873858747403979531832083008426896292915795252196335321954600680273611679062660765513123586987884181126119415001327786496580551371517149134212331819362307998936428091091752843397428821968051741356515862026981394180550060542899803803085728812813842001286891098928479381513580765036594738110339516665608382478230594951450153345586560884722890007803221843690073357536565756774402649374780720638029564347546925440731555166400448559870365501213206730987150780463851780986077121164945339353024782601543743471666606640702136299745595452899533513907762794646291453941079887148860339261545495722543661248827964410514268063934429779964377578457125865252850583886943531556922100052827302993003420387568925934994461519089901048933371106128650412555281569474050633701628610971665524990598643798536768176836619760807173309955727980497347410525004877763201227720625798248559209801398266678136550965240619349360751126954443302386088100766585002975176497380484810341087446179999642787487376200566291225017596798954562919060515294607205720302914316435943704549719697421352458027890878921019662697841921828642389178008437575003032480364505703256547010219479695084576623063714387178533349427387993946369961201969474161440870208025249534666630609491251868148973907258305250598979267003058365521351490540959598607047049454837833064802749776711897973382399715251481996058728683918931651853787713752012965867181744801319079114747113785717177932596085613888422646233940261757846682530463148843192044120851504012016173157960805080032588080656020153376576080301752417186685418619463267242780312296879110272073288927316239272945950956749255182126064779061564296107286553673184681505986838278672272069662351230209646988551116208631072654557671719230390206515207660924097589929725536677529697421882201993335519005965735733152679089471465468227038704529778428117586503413258823282329901024051874965085617849869673818524235994905426572863436633041199625669759720748}
15626  4314117878147540034346737001332480145717191815367490718131909863: {109333,156190,187428,296533,530638,670069,717646,1042453,1277806,1339966,1623128,1826019,2270446,2371352,2555284,2575155,2579806,2667771,2746832,3012238,3069973,3090186,3300628,3505486,3823715,3936238,3978255,4059166,4243472,4251673,4416484,4588458,4612568,4672846,4702933,4773906,4792969,4856638,5040286,5152393,5189139,5331673,5346046,5462450,5590366,5600053,5663163,6078238,6223753,6504286,6554940,6578569,6667093,6868846,6991936,7098455,7172206,7372693,7414606,7592792,7717246,7803500,7865928,8079886,8408939,8518146,8541891,8647455,8849169,8983966,9202969,9221908,9223952,9364200,9524686,9634069,9704638,9821912,9988480,10140650,10303438,10376946,10534725,10602238,10781326,11001493,11049651,11057188,11237040,11255833,11674606,11986176,12012770,12090238,12168780,12266713,12641670,12684853,12980032,13096366,13484448,13525592,13769715,14039086,14415324,14585113,14602536,14687696,14706148,14743438,14912931,15074569,15170004,15211726,15216291,15366603,15480469,15561433,15628755,15740888,15795646,15884569,15939363,16157668,16286869,16319806,16427853,16494238,16523658,16670672,16907555,16958686,17161100,17190526,17622111,17708499,17799193,17826766,17965588,18230638,18278859,18293575,18349813,18662869,18754506,19208206,20124046,20238238,20287513,20289066,20426691,20593320,20593369,20922046,20974069,21404572,21559828,21660238,21730069,21830206,21917668,21952290,21966208,22092411,22143443,22355672,22404313,22508638,22776373,22959646,23167485,23220469,23415776,23588569,23634238,23667539,23702548,23819288,23954869,24026686,24153650,24246613,24319369,24474238,24711984,24851695,24894831,24895155,25150131,25199326,25310638,25688053,25866238,26032606,26143438,26342748,26468569,26554832,26696638,26796699,26807086,27170569,27212691,27240373,27250708,27588313,27633406,27800982,27956884,28127315,28196312,28278793,28346638,28456126,28552969,28984380,29002606,29019963,29166238,29378703,29717284,29822034,29874186,30090766,30145006,30460855,30506293,30577960,30902686,30916672,30956686,31304163,31470484,31492873,31603438,31633490,31711006,31720851,32463253,32615219,32803883,33276632,33302091,33636286,33752778,33794569,33810770,34044553,34260628,34273438,34355413,34400205,34432366,34479253,34547575,34644046,34781256,34961086,34971733,35032755,35066638,35094133,35108095,35224846,35233163,35593438,35782851,35882713,35942869,36410655,36412563,36553026,36642238,36693552,36777493,36799006,37164238,37268446,37294923,37320526,37368272,37436211,37608728,37788526,37960188,38232793,38328728,38347273,38632213,38704755,38838032,38915353,39099028,39128913,39133246,39339166,39373187,39476233,39707255,39919753,40249369,40406723,40485272,40518238,40572924,40813348,40952625,41028238,41130046,41280246,41285072,41329369,41453715,41457090,41638126,41891566,42039306,42120469,42129714,42172633,42309819,42339011,42587353,42636632,42690313,43119819,43150069,43361923,43453966,43682800,43692786,43704526,43903369,44016411,44054638,44198355,44217296,44220388,44220896,44281202,44445493,44769959,44882569,45190700,45199486,45313813,45545931,45546238,45786133,46210712,46286638,46445706,46481939,46593170,46862690,46979571,47144912,47170366,47249173,47471113,47648706,47691253,47854126,47902846,47934868,47966211,48298069,48301100,48340606,48396243,48486238,48511369,48680713,48753125,48890773,48974293,49143150,49357006,49531999,49611748,49744458,49748508,50030591,50113333,50152969,50260899,50333090,50462995,50506453,50948068,50968693,51190232,51225886,51368638,51494869,51511246,51698163,51716053,51898393,51922615,51947284,51987051,52174846,52406355,52419360,52420823,52458286,52574869,52607768,52882366,52929406,52954633,53038026,53056693,53124373,53458453,53752969,54041653,54067139,54199513,54228840,54355573,54426238,54751486,54842869,55122238,55194986,55454473,55587855,55817173,55900112,55911804,55913984,55917155,55918228,55953433,56104419,56235228,56247410,56377369,56403253,56503438,56724650,56758069,57051886,57146293,57217033,57560548,57589011,57614575,57643438,57723890,57781333,57844096,57961320,58036213,58176291,58187086,58320469,58503750,58533913,58683673,58882069,58971780,59121973,59132926,59183739,59216655,59222638,59236633,59293712,59295963,59357086,59515273,59617333,59810869,59876569,59940469,60027166,60062869,60173284,60222133,60296473,60363032,60377113,60399708,60425173,60555594,60615253,60675733,60711193,60776713,60788953,60812569,60866569,60886153,60917653,60966793,60985369,61003438,61007445,61029973,61039369,61040053,61135966,61224238,61532686,61796884,61825408,61933215,62015806,62307138,62404000,62540638,62556242,62558283,62887626,62903232,63048818,63106606,63164432,63258860,63267411,63558515,64057828,64190987,64273438,64359406,64488238,65044846,65074608,65130238,65206485,65222066,65683726,65959448,66062096,66065326,66276766,66402770,66545843,66705426,66790975,66946700,67100586,67496892,67537006,67681055,67908411,68069580,68078638,68161726,68295279,68906638,69137490,69194926,69268668,69441406,69553584,69932638,70055086,70057255,70204500,70421566,70457282,70766136,70880755,70974651,71059986,71407155,71650634,71659551,71834446,71874526,72473806,72607552,72672766,72903128,73029886,73208934,73746656,73858126,74204379,74319858,74328238,74526484,74760995,74834926,74884800,74886890,75184126,75269019,75462628,75764546,75899955,75910632,75955486,76167632,76185646,76270218,76529806,76763939,77042163,77177163,77238770,77327806,78043726,78209499,78247782,78255508,78343438,78373263,78849980,78902638,79273438,79347406,79485555,79568926,79611903,79615403,79683324,79877120,79881650,79933215,80149170,80176019,80336040,80449246,80474648,80959952,81217266,81356446,81565991,81683496,81752446,82016019,82110766,82169715,82182238,82431886,82462700,82527512,82609726,82645246,82672239,82892523,82964988,83352286,84053155,84068706,84192286,84227086,84245400,84296638,84430687,84667154,84784592,84843227,85056906,85057486,85160638,85262096,85332238,85399461,85492448,85688586,85691776,86147823,86251966,86285806,86791486,86858638,87193438,87293566,87297368,87647696,87758926,88089406,88141251,88147955,88188238,88254046,88296484,88680238,88712162,89233486,89286159,89332952,89366060,89528426,89605975,89713194,89749966,89814238,89843871,89861760,89864268,89910526,89915882,90060095,90069740,90230446,90369800,90378045,90386068,90506883,90533979,90596011,90612238,91079946,91149166,91363352,91530255,91556638,91701410,91806046,91877575,91893933,92116366,92178238,92450695,92486638,92684963,92686524,92843451,93037726,93098638,93174380,93402238,94094446,94516203,94619976,94776075,94861100,94896238,94984606,95065490,95109268,95253051,95278126,95336638,95382666,95525715,95628238,95672291,95694484,95852544,95857980,95919858,95976046,96179004,96313855,96403248,96407566,96550606,96977326,97005646,97423448,97632272,97796855,97903438,97912787,98183955,98209539,98263486,98401246,98603658,98681575,98955240,99408238,99462046,99623086,99728563,...,14077468870727582842613937139214306859548744343266263058394963127438780367021125686007863602564451639229950163874233051200664511238275077469538930805891991037388607064665513235926091594634905153401420471659784339982382763504933463194775182673456573341115351325990324123501860689513315232918366905186340469931588019143333652004962105970825715031946275985763363002223836489240126851008582861586425443520605099764457607372790562733733765847092400809023800670291088955180190861639244831350643720012018212966285556559288643104011420103511275519651049986965515810788121105969297748124512640344439373692878294502982931901020410417518593991148269685380481826271689179122501991679744870827057275723701318497729043461998404642136637629265096143232952077612034773793040472091270825090814349705704628593219220763001930336648392719072270371147554892107165509274998412573717345892427175230018379841327084335011704832765535110036304848635161603974062171080957044346521320388161097332749600672839805548251819810096480726170695777671479115681747418009029537173902315615207499909961053204449618393179349300270861644191969437180911619830723290508892318243583815491873241946615771402095901644669946566367685688797879275875830415297335383150079240954489505130581353388902491692278634851573400056659192975618832922354211075950552442916457498287485897965697805152265254929641210759964933591970746021115787507316644801841580938697372838814702097400017204826447860929024041126690431664953579132151149877504462764746070727215511631169269999464181231064300849436837526395198431844378590772941910808580454371474653915556824579546132028687041836318381529494046762882742963583767012656362504548720546758554884820515329219542626864934595571580767800024141081990919554941802954211242161305312037874301999945914236877802223460860887457875898468900504587548282027235811439397910570574182256749597204124665067846960073599572877222994088093025878397477780681570628019448800772617201978618672120670678575766898894128420832633969350910392636770023795694723264788066181277256018024259736941207620048882120984030230064864120452628625780028127929194900864170468445318665408109933390974358909418926435123882773189097168592346444160929830509777022258980257418008408104493526845314470482826674312946608981836507578845585309772811491386146384894588305016294546132823302990003278508948603599729018634207198202340558056794667642176379755119888234923494851536077812447628426774804510727786353992358139859295154949561799438504639581122}
15627  4333231328394465649446033584886951794875309085027570249734595350: {234285,249904,281142,795957,1076469,1420237,1916709,2009949,2028910,2074933,2403478,2434692,2636569,2964190,3194105,3405669,3433540,3557028,3713038,3832926,3869709,4035997,4120248,4125785,4461886,4518357,4635279,4950942,5258229,5304340,5520605,5765710,5904357,6088749,6117944,6279949,6365208,6624726,6643693,6882687,6918852,7009269,7160859,7284957,7550884,7560429,7681433,8019069,8049173,8070958,8193675,8242349,8385549,8594173,8739920,9117357,9490990,9754375,9756429,9832410,10303269,10487904,10627606,10758309,10851593,11121909,11357528,11389188,11527385,11529940,11575869,11705250,11749582,11798892,11834893,12119829,12277390,12485600,12558286,12777219,12851734,13093529,13475949,13619542,13773277,13821485,13832862,13835928,14046300,14287029,14556957,14586838,14732868,14748409,14982720,15200933,15210975,15455157,15565419,15597653,15903357,15981568,16171989,16225040,16585782,16855560,16906990,17406142,17511909,17846173,17979264,18019155,18135357,18253170,18359620,18382685,18956669,18962505,19220432,19470048,19561213,19644549,19676110,19783693,19883908,20197085,20226672,20288388,20488804,20769229,20838340,20841877,21058629,21196013,21252484,21440302,21451375,21622986,21890014,21903804,21908597,22031544,22059222,22115157,22456985,22755006,22817589,23235478,23496148,23611332,23693469,24236502,24371812,24479709,24663886,24671773,24741357,24785487,24958846,25006008,25350413,25438029,25741650,25785789,26740149,26755715,26948382,26949785,27052088,27235588,27345957,27397085,27457760,27788374,27944590,28131759,28586773,28688686,28735309,28812309,29117053,29269720,29388029,29456548,29628185,29769737,29774110,30186069,30357357,30433599,30775702,30889980,31383069,31970093,32106858,32339742,32490357,32697238,32740669,32745309,32876502,32907637,32928435,32949312,33193108,33193540,33389614,33533508,33537637,33762957,33983278,34063385,34439469,34946105,35123664,35147926,35245390,35402398,35424613,35451357,35553822,35728932,36036617,36040029,36124438,36230475,36283588,36711357,37067976,37146605,37307053,37559813,37798989,37965957,38138117,38222450,38645840,38677757,38690134,38693284,38799357,39048909,39162713,39171604,39215157,39338105,39426629,39514122,39762712,39832248,40044957,40210629,40426133,40434373,40731886,40876062,41251798,41450109,41458966,41595790,41701473,41738884,41935326,42294468,42519957,42578638,42684189,42825785,43419893,43476570,43503909,43608046,43749357,43842677,44402788,44575926,44618509,44733051,44791453,44811279,45003704,45136149,45217509,45338653,45390713,45866940,46031797,46090333,46354029,46375008,46435029,46612054,46620149,46710340,47010910,47205726,47405157,47450235,47566509,47710468,47910910,48163609,48547540,48550084,48689029,48736517,48737368,48873785,48912598,48924736,49469149,49726564,49914948,50454429,50606590,50613584,50629167,50716155,51016685,51067726,51155278,51390942,51410157,51606340,51618137,51648549,51881998,51966069,52171884,52441629,52599957,52817653,52837269,53053453,53295790,53347613,53390157,54051598,54097232,54603500,54797566,54829539,54963357,55040328,55198509,55268878,55271620,55275485,55276120,55407286,55604377,55746357,55902669,55919422,55980789,56052408,56172952,56402749,56413092,56488375,56548553,56682789,56940282,57493092,57714517,57763390,57804334,58257048,58281773,58648542,58688548,58699869,58759133,58931140,59008749,59266229,59362997,59918585,60376375,60453797,60699886,60727908,60777357,60859386,60908297,61090237,61220022,61426553,61542357,61695069,61920369,61927608,62014685,62185635,62457189,62639428,62837349,63058959,63194571,63531608,63685085,63790237,63954948,63987790,64176629,64188574,64499158,64528324,64916933,64934105,65156333,65180949,65524200,65536853,65539179,65556789,65759710,66081957,66325944,66330582,66331344,66421803,66526942,66646678,66928537,67014532,67709309,67786050,67799229,68319357,68930884,68990329,69316068,69429957,69444622,69548077,69668559,69875140,69889755,69892480,69897785,70088878,70294035,70415317,70717368,70755549,70839958,71473059,71686409,71781189,71854269,71902302,71950685,72211573,72305120,72451650,72510909,72729357,73226633,73714725,73903609,73938029,74035509,74117140,74186518,74417622,74549072,74604334,74616687,74622762,74805892,74980304,75141613,75216605,75453790,75499635,75508246,76385197,76422102,76691734,76785348,76838829,77052957,77246105,77266869,77281760,77568388,77681902,77813717,77820413,77920926,78005000,78166333,78262269,78534937,78629040,78687429,78911652,78955540,79061284,79073575,79323549,79394109,79464493,79557039,79746862,79756853,79819606,79942933,80072285,80283317,80532944,80687053,80740792,80885813,81343260,81507646,81639357,81696694,82127229,82145237,82449310,82477438,82577620,82683357,82792479,82826969,83076184,83151289,83411044,83683375,83850168,83867706,83870976,83877342,84352842,84356548,84371115,84489886,84584093,84755157,85086975,85245517,85428238,85577829,86257693,86340822,86465157,86585835,86766144,86941980,87280629,87713357,87755625,87985913,88173757,88457670,88699389,88833957,88940568,89035629,89157334,89467448,89995856,90036437,90040749,90259926,90544548,90599562,90759440,90833391,91060372,91089397,91128910,91182389,91505157,91590382,91638358,91703949,91836357,92167853,92183320,92299029,92358224,92555182,92595929,92695326,92738112,92848846,93023709,93040237,93158105,93198958,93223229,93412837,93460707,93606000,93810957,93834363,94328285,94331439,94354848,94573227,94632868,94659909,94710166,94746648,94888290,94937758,95209540,95450806,95527822,95546068,95653942,96077053,96086742,96305797,96410157,96539109,96732357,97000078,97017166,97567269,97605293,97611912,97688278,97695357,97735973,97780213,97819385,97833099,97975894,98525589,98562475,98939172,98947013,99093144,99097989,99142997,99186157,99415149,99437477,99604155,99846400,...,21116203306091374263920905708821460289323116514899394587592444691158170550531688529011795403846677458844925245811349576800996766857412616204308396208837986556082910596998269853889137391952357730102130707489676509973574145257400194792162774010184860011673026988985486185252791034269972849377550357779510704897382028715000478007443158956238572547919413978645044503335754733860190276512874292379638165280907649646686411059185844100600648770638601213535701005436633432770286292458867247025965580018027319449428334838932964656017130155266913279476574980448273716182181658953946622186768960516659060539317441754474397851530615626277890986722404528070722739407533768683752987519617306240585913585551977746593565192997606963204956443897644214849428116418052160689560708136906237636221524558556942889828831144502895504972589078608405556721332338160748263912497618860576018838640762845027569761990626502517557249148302665054457272952742405961093256621435566519781980582241645999124401009259708322377729715144721089256043666507218673522621127013544305760853473422811249864941579806674427589769023950406292466287954155771367429746084935763338477365375723237809862919923657103143852467004919849551528533196818913813745622946003074725118861431734257695872030083353737538417952277360100084988789463428249383531316613925828664374686247431228846948546707728397882394461816139947400387956119031673681260974967202762371408046059258222053146100025807239671791393536061690035647497430368698226724816256694147119106090823267446753904999196271846596451274155256289592797647766567886159412866212870681557211980873335236869319198043030562754477572294241070144324114445375650518984543756823080820137832327230772993829313940297401893357371151700036211622986379332412704431316863241957968056811452999918871355316703335191291331186813847703350756881322423040853717159096865855861273385124395806186997601770440110399359315834491132139538817596216671022355942029173201158925802967928008181006017863650348341192631248950954026365588955155035693542084897182099271915884027036389605411811430073323181476045345097296180678942938670042191893792351296255702667977998112164900086461538364128389652685824159783645752888519666241394745764665533388470386127012612156740290267971705724240011469419913472754761368268377964659217237079219577341882457524441819199234954485004917763422905399593527951310797303510837085192001463264569632679832352385242277304116718671442640162206766091679530988537209788942732424342699157756959371683}
15628  4352428792174198645783654442340149809140834669352223357906551232: {218666,312380,374856,421713,593066,732307,918571,1061276,1340138,1435292,1568227,2030107,2084906,2555612,2581987,2679932,3043365,3246256,3496027,3605217,3652038,3859627,4131571,4291925,4446285,4540892,4742704,5110568,5150310,5159612,5335542,5353201,5481571,5493664,5569557,5749389,6024476,6106027,6139946,6180372,6601256,6630425,6692829,7010972,7080187,7256371,7426413,7432267,7647430,7870747,7872476,7956510,8118332,8486944,8503346,8648565,8832968,9176916,9225136,9345692,9405866,9438605,9547812,9585938,9713276,9864571,9937089,9937837,10080572,10121827,10304786,10378278,10663346,10692092,10924900,11180732,11200106,11313787,11326326,11820307,12106437,12156476,12447506,12658747,12992107,13008572,13075267,13109880,13157138,13334186,13407187,13655371,13737692,13983872,14196910,14231947,14236485,14344412,14412425,14745386,14748615,14829212,15185584,15434492,15607000,15731856,15859867,15941409,16101571,16159772,16817878,17036292,17061907,17083782,17294910,17538187,17557875,17624373,17698338,17967932,18090571,18405938,18416085,18443816,18447904,18639427,18717547,18728400,18837429,19049372,19268138,19277601,19409276,19643824,19976960,20281300,20429313,20570827,20606876,20749293,20753892,21069450,21204476,21562652,21880257,22002986,22083547,22099302,22114376,22474080,22511666,22680571,22949525,23349212,23640907,23670577,23933947,23972352,24025540,24180476,24337560,24533426,24733867,24854885,24878673,25283340,25360485,25369706,25453507,25611005,25739347,25810627,25960064,26047925,26109213,26165947,26192732,26448907,26565605,26660371,26968896,27011371,27051184,27379755,27539430,28078172,28739371,28830648,28875667,29170226,29205072,29370185,29375392,29412296,29486876,29514165,29620147,29825862,30149138,30340008,30423452,30432582,30464765,30621307,30733206,30960938,31122866,31257510,31481776,31591292,31736371,31769138,31866187,31878726,32160453,32189467,32315336,32434479,32573738,32575027,32639612,32835021,32855706,32988476,33047316,33088833,33341344,33653371,33778867,33815110,33917372,34044485,34091347,34132509,34322200,34381052,34772467,34792373,34853217,35017987,35201371,35244222,35416998,35598386,35653532,35931176,36108571,36288067,36354753,36461276,36557718,36587150,36699626,36820685,36995829,37292971,37325738,37438269,37468147,37509012,37584571,38416412,38612475,38732971,39184267,39378241,39686467,40237627,40248092,40422573,40476476,40575026,40578132,40673371,40853382,41104507,41186640,41186738,41211571,41477971,41491385,41491925,41682561,41844092,41916885,41948138,42162187,42645197,42680227,42809144,42936547,43033029,43119656,43320476,43367489,43443787,43460138,43660412,43794571,43835336,43904580,43932416,44141827,44184822,44286886,44289571,44631787,44661165,44711344,44808626,44922307,45017276,45114547,45353227,45354485,45552746,45825187,45919292,45965371,46104907,46163553,46334970,46440938,46565347,46831552,46883371,47108371,47177138,47268476,47335078,47405096,47552971,47638576,47684947,47909738,48053372,48120187,48160287,48206371,48307300,48366605,48420571,48493226,48509613,48638738,48948476,48964505,49045857,49052371,49151333,49314753,49423968,49538357,49703390,49748827,49789147,49789662,49790310,50037013,50084421,50300262,50398652,50621276,50974917,51041371,51230371,51245909,51305467,51376106,51732476,52065212,52173605,52286876,52502971,52677571,52685496,52721889,52781467,52868085,52937138,53103597,53109664,53257747,53330733,53357971,53393276,53593398,53614172,53687371,54073147,54186657,54341138,54417667,54425382,54480746,54501416,54723307,55139107,55176626,55266812,55312987,55359293,55503485,55590157,55597027,55601964,55913768,56116867,56254630,56392624,56557586,56693276,56761267,56912252,57105938,57244387,57314371,57333675,57542971,57968760,58005212,58035201,58039926,58082971,58226107,58332476,58387925,58443907,58537817,58634347,58726867,58757406,58817587,59027971,59271183,59308267,59434568,59508571,59582371,59638085,59644068,59724571,59748372,59949787,59987371,60012067,60181532,60290012,60306907,60327571,60397627,60426571,60586627,60684425,60687605,60825307,60921710,60931147,60947707,60970387,60984067,60987307,60993571,61007971,61012586,61043467,61051027,61097829,61155920,61314093,61805372,61833344,61877697,61913372,62158205,62188449,62393685,62608326,62902989,62940968,62985746,63206876,63266980,63422012,63441702,63867957,64507925,64926506,65214855,65230438,65412069,65607766,66553264,66604182,66863889,67272572,67505556,67589138,67621540,68089106,68254375,68521256,68546876,68710826,68800410,68864732,68958506,69089525,69095150,69288092,69562512,69702413,69918081,69922172,69943466,70065510,70133276,70188266,70216190,70449692,70466326,70516365,70648193,70808589,71186876,71565702,71765426,71866365,71885738,72691661,72821310,72825126,73106052,73284476,73360685,73368897,73387104,73554986,73598012,73663925,74328476,74536892,74589846,74641052,74736544,74872422,75217456,75577052,75909885,75920376,76465586,76601589,76657456,76694546,76732917,77086413,77264426,77409510,77676064,77822997,77830706,78198056,78257826,78266492,78284017,78299285,78678332,78746374,78952466,79414510,79839506,79943685,80498738,80660405,80813446,80970544,81036476,81077397,81145848,81626696,81905250,82056476,82196349,82260092,82560492,82570144,82658738,82903317,82907430,82914180,83110929,83276252,83768165,83783132,83879133,84078612,84240938,84259428,84345266,84619638,84678022,85174706,85273264,85380626,85410423,86163605,86239638,86300138,86645085,86706501,86723846,86907932,87343925,87365600,87385572,87409052,87806738,87972813,88032822,88109276,88396710,88434592,88440776,88441792,88484033,88562404,88890986,88981921,89539918,89765138,90253493,90381400,90398972,90627626,91049829,91091862,91092476,91289079,91572266,91830033,92421424,92573276,92646425,92891412,92963878,93186340,93507365,93725380,93959142,94289824,94340732,94363709,94498346,94753477,94942226,95297412,95382506,95708252,95805692,95869736,95932422,95981685,96282861,96596138,96602200,96681212,96748737,96792486,96960485,96972476,97022738,97361426,97506250,97781546,97948586,98080157,98286300,98639565,98694425,98714012,98826605,99063998,99223496,99233057,99488916,99495873,99497016,99781721,99790413,99970017,...,28154937741455165685227874278428613719097488686532526116789926254877560734042251372015727205128903278459900327748466102401329022476550154939077861611783982074777214129331026471852183189269810306802840943319568679964765527009866926389550365346913146682230702651980648247003721379026630465836733810372680939863176038286667304009924211941651430063892551971526726004447672978480253702017165723172850887041210199528915214745581125467467531694184801618047601340582177910360381723278489662701287440024036425932571113118577286208022840207022551039302099973931031621576242211938595496249025280688878747385756589005965863802040820835037187982296539370760963652543378358245003983359489741654114551447402636995458086923996809284273275258530192286465904155224069547586080944182541650181628699411409257186438441526003860673296785438144540742295109784214331018549996825147434691784854350460036759682654168670023409665531070220072609697270323207948124342161914088693042640776322194665499201345679611096503639620192961452341391555342958231363494836018059074347804631230414999819922106408899236786358698600541723288383938874361823239661446581017784636487167630983746483893231542804191803289339893132735371377595758551751660830594670766300158481908979010261162706777804983384557269703146800113318385951237665844708422151901104885832914996574971795931395610304530509859282421519929867183941492042231575014633289603683161877394745677629404194800034409652895721858048082253380863329907158264302299755008925529492141454431023262338539998928362462128601698873675052790396863688757181545883821617160908742949307831113649159092264057374083672636763058988093525765485927167534025312725009097441093517109769641030658439085253729869191143161535600048282163981839109883605908422484322610624075748603999891828473755604446921721774915751796937801009175096564054471622878795821141148364513499194408249330135693920147199145754445988176186051756794955561363141256038897601545234403957237344241341357151533797788256841665267938701820785273540047591389446529576132362554512036048519473882415240097764241968060460129728240905257251560056255858389801728340936890637330816219866781948717818837852870247765546378194337184692888321859661019554044517960514836016816208987053690628940965653348625893217963673015157691170619545622982772292769789176610032589092265646605980006557017897207199458037268414396404681116113589335284352759510239776469846989703072155624895256853549609021455572707984716279718590309899123598877009279162244}
15629  4371710635855739453408061743599463945602013929952544839714224811: {15629,327999,390475,468570,499808,562284,889599,1326595,1591914,1794115,1888447,2010207,2152938,2840474,2917387,3127359,3194515,3349915,3833418,4019898,4057820,4149866,4471747,4806956,4869384,5273138,5478057,5676115,5776099,5928380,6341467,6388210,6449515,6811338,6867080,7114056,7426076,7530595,7665852,7682419,7725465,7728847,7739418,8003313,8071994,8211187,8240496,8243407,8251570,8585131,8763715,8923772,9036714,9209919,9270558,9512659,9840595,9901884,10097791,10147915,10516458,10608680,11041210,11380939,11461087,11471145,11531420,11682115,11808714,11934765,12128251,12141595,12177498,12235888,12559898,12600715,12730416,12755019,13249219,13249452,13287386,13365115,13656125,13765374,13837704,13975915,13996531,14018538,14018659,14108799,14321718,14378907,14569914,15101768,15120858,15195595,15362866,15457179,15567417,15995019,16038138,16098346,16126387,16138339,16141916,16260715,16387350,16484698,16771098,16800159,16819279,16989489,17172115,17188346,17432671,17479840,17930515,17964739,18234714,18256447,18499651,18536515,18671259,18757987,18981980,19293115,19350079,19508750,19512858,19664820,19735707,20001279,20199715,20606538,20975808,21255212,21295365,21516618,21703186,22118079,22243818,22459915,22657807,22715056,22778376,23054770,23059880,23151738,23410500,23499164,23590867,23597784,23669786,23811715,24239658,24261595,24486079,24554780,24971200,25116572,25226817,25351625,25554438,25625673,25690687,25703468,25735759,25758595,25942365,26187058,26505595,26547507,26590651,26632387,26701147,26951898,26953315,27239084,27546554,27608907,27642970,27665724,27671856,28092600,28212559,28275919,28383487,28574058,28902207,29113914,29173676,29186515,29465736,29496818,29947507,29959579,29965440,30031925,30225595,30399391,30401866,30421950,30910314,31130838,31195306,31439779,31604175,31806714,31963136,32343978,32412127,32450080,32740915,32870659,33004479,33148953,33171564,33272059,33711120,33767499,33813980,34174927,34731307,34812284,35023818,35097715,35692346,35958528,36038310,36270714,36506340,36562699,36719240,36765370,36800139,36858595,37458001,37729699,37913338,37925010,38029315,38054559,38355919,38431327,38440864,38833027,38850979,38940096,39122426,39289098,39352220,39391999,39489115,39567386,39688387,39767816,40033891,40266307,40276219,40394170,40453344,40576776,40764427,40799515,40977608,41235595,41309145,41479459,41538458,41676680,41683754,42117258,42392026,42396715,42504968,42880604,42902750,42976315,43245972,43425547,43755339,43770091,43780028,43807608,43817194,44063088,44118444,44230314,44566915,44738793,44913970,45223707,45406099,45417691,45510012,45576595,45635178,45648873,46099809,46289539,46441407,46470956,46595107,46684299,46886265,46992296,47222664,47386938,47653707,47688739,47776339,47818089,48020515,48074779,48473004,48521107,48743624,48860607,48924547,48959418,49000639,49283559,49327772,49343546,49447999,49482714,49570974,49917692,50012016,50310115,50595595,50700826,50722665,50876058,51314419,51483300,51571578,51760207,52005247,52142179,52305115,52365247,52866333,53125497,53397579,53480298,53511430,53896764,53899570,53993791,54104176,54150595,54471176,54575515,54691914,54794170,54836577,54880725,54915520,55049439,55073347,55243387,55576748,55659967,55889180,55988607,56263518,56271595,56987059,57173546,57377372,57399115,57470618,57624618,57690859,57895807,58234106,58289407,58539440,58617691,58776058,58913096,59085595,59256370,59301199,59307019,59539474,59548220,59886019,59956099,60066715,60257791,60372138,60384125,60714714,60862539,60867198,61185595,61280073,61551404,61779960,61780107,62323291,62460499,62766138,62811487,62922207,62998315,63047179,63276595,63512959,63940186,64213716,64665595,64679484,64807219,64885939,64980714,65081515,65190207,65358595,65394476,65481338,65490618,65545387,65662867,65753004,65815274,65856870,65898624,66277233,66346879,66386216,66387080,66430329,66741595,66745579,66763771,66779228,67017715,67067016,67075274,67117507,67122187,67212939,67525914,67966556,68073979,68126770,68153707,68329119,68418307,68423299,68625379,68878459,68878938,69083515,69502455,69661407,69892210,70041907,70052191,70247328,70295852,70311979,70490780,70765707,70804796,70849226,70866595,70902714,71002617,71107644,71140315,71423359,71457864,71864607,72001567,72073234,72080058,72248876,72460950,72506515,72567176,72739839,72915595,72958107,73236187,73247071,73422714,73747819,74135952,74293210,74555085,74614106,74684493,74685465,74939467,75119626,75183307,75226915,75362515,75450393,75597978,75845107,75931914,76214347,76276234,76303939,76444900,77002939,77064159,77256715,77291680,77355514,77380268,77385679,77386568,77391715,77397259,77598714,78097818,78325426,78343208,78430314,78676210,78853258,78899407,79008595,79028244,79083725,79268179,79277515,79405707,79525424,79664496,79767391,80089914,80390097,80421258,80505427,80852266,80868746,80990659,81056767,81405979,81463772,81511707,81638073,81721119,81752124,81841531,82383907,82503596,82764939,82900218,82917932,83191580,83402946,83477768,83870652,83886019,84090715,84381945,84467107,84526925,84588936,84836379,85039914,85137259,85157276,85368378,85651570,85658907,85683595,86080915,86610115,86788267,86820559,86839786,86953140,87007818,87059889,87216092,87381307,87402715,87498714,87666595,87685354,88062115,88136109,88551979,88805576,88879171,88983595,89151852,89159119,89237018,89352859,89466102,89582906,89622558,89723227,90007408,90272298,90401791,90435018,90555379,90677306,90727939,90781426,90907747,91382565,91518879,91569259,91605595,91733880,91969579,91997515,92063594,92180666,92265499,92278747,92708058,92750016,92870058,92910595,93171115,93224108,93240298,93301315,93420680,93750907,93912489,93992959,94021820,94053907,94258099,94316851,94411452,94471315,94478619,94810314,94900470,95131807,95133018,95162553,95292187,95420936,95821820,96327218,97055167,97095080,97100168,97378058,97389759,97473034,97474736,97661059,97747570,97825196,97833115,97845657,97849472,97856899,98146219,98347915,98411649,98938298,99277387,99429691,99443059,99453128,99829896,99906273,99963019,...,42232406612182748527841811417642920578646233029798789175184889382316341101063377058023590807693354917689850491622699153601993533714825232408616792417675973112165821193996539707778274783904715460204261414979353019947148290514800389584325548020369720023346053977970972370505582068539945698755100715559021409794764057430000956014886317912477145095838827957290089006671509467720380553025748584759276330561815299293372822118371688201201297541277202427071402010873266865540572584917734494051931160036054638898856669677865929312034260310533826558953149960896547432364363317907893244373537921033318121078634883508948795703061231252555781973444809056141445478815067537367505975039234612481171827171103955493187130385995213926409912887795288429698856232836104321379121416273812475272443049117113885779657662289005791009945178157216811113442664676321496527824995237721152037677281525690055139523981253005035114498296605330108914545905484811922186513242871133039563961164483291998248802018519416644755459430289442178512087333014437347045242254027088611521706946845622499729883159613348855179538047900812584932575908311542734859492169871526676954730751446475619725839847314206287704934009839699103057066393637827627491245892006149450237722863468515391744060166707475076835904554720200169977578926856498767062633227851657328749372494862457693897093415456795764788923632279894800775912238063347362521949934405524742816092118516444106292200051614479343582787072123380071294994860737396453449632513388294238212181646534893507809998392543693192902548310512579185595295533135772318825732425741363114423961746670473738638396086061125508955144588482140288648228890751301037969087513646161640275664654461545987658627880594803786714742303400072423245972758664825408862633726483915936113622905999837742710633406670382582662373627695406701513762644846081707434318193731711722546770248791612373995203540880220798718631668982264279077635192433342044711884058346402317851605935856016362012035727300696682385262497901908052731177910310071387084169794364198543831768054072779210823622860146646362952090690194592361357885877340084383787584702592511405335955996224329800172923076728256779305371648319567291505777039332482789491529331066776940772254025224313480580535943411448480022938839826945509522736536755929318434474158439154683764915048883638398469908970009835526845810799187055902621594607021674170384002926529139265359664704770484554608233437342885280324413532183359061977074419577885464848685398315513918743366}
15630  4391077227393142002638696784637440804877609378609893438554809348: {171809,358961,437332,452429,624760,702855,732401,749712,843426,949709,1104689,1186132,1228529,1383149,1464614,1599281,1837142,2122541,2122552,2387871,2429261,2521121,2680276,2765729,2870584,2948849,3136454,3229407,3526829,3678449,3950861,4060214,4132109,4162289,4169812,4260711,4313069,4764209,4854221,5063969,5072275,5111224,5163974,5359864,5392781,5482289,5601521,5750127,5928749,6008695,6029847,6047501,6086730,6224799,6492512,6550769,6727841,6934061,6992054,7210434,7304076,7410475,7433249,7550369,7696589,7719254,7900961,7909707,8250401,8263142,8395661,8569709,8583850,8685581,8892570,9003569,9081784,9205421,9263021,9282595,9485408,9582315,9694001,9894509,10066061,10208801,10217007,10221136,10300620,10319224,10322849,10465229,10671084,10706402,10919501,10963142,10987328,11004449,11061041,11139114,11154715,11174129,11315309,11498778,11609127,11681441,11990189,12048952,12107991,12212054,12279892,12360744,12377355,12688289,12743921,12938381,13021601,13202512,13214047,13260850,13353761,13385658,13555071,13904801,13905837,14021944,14160374,14315981,14414275,14507249,14512742,14589101,14752589,14852826,14864534,15160049,15294860,15565709,15741494,15744952,15774687,15808241,15888941,15913020,15942701,16236664,16561815,16665329,16973888,17006692,17064269,17223341,17297130,17619761,17665936,17698829,17713071,18266247,18353832,18407201,18450272,18485549,18668081,18691384,18720161,18811732,18839847,18877210,18980081,19095624,19171876,19426552,19677869,19729142,19874178,19875674,19931079,20037389,20161144,20177395,20216561,20243654,20344301,20599181,20609572,20648061,20756556,20827889,20954669,21027807,21030641,21326692,21384184,21482577,21484961,21736241,21811469,21849800,21854871,21936689,22186529,22361464,22400212,22410701,22460429,22627574,22652652,22681287,22683809,22708589,23044299,23227121,23276321,23640614,23644301,23668769,23727475,23790989,23961761,24057207,24147519,24212874,24253601,24312952,24326381,24581025,24727047,24761549,24895012,24906029,25156647,25170161,25265969,25317494,25695521,25743089,25766861,25782519,25838129,25984214,26017144,26098829,26150534,26169761,26219760,26314276,26476301,26569015,26664269,26668372,26687729,26814374,27225101,27294881,27310742,27352071,27387809,27457421,27475384,27712049,27873581,27967744,27988721,28393820,28463894,28472970,28688824,28766369,28824850,28902641,29015981,29106509,29263125,29269287,29309729,29373955,29490772,29497230,29658424,29691821,30371168,30581741,30693475,30868984,30909807,31021901,31087649,31214000,31395715,31437089,31463712,31545869,31632749,31719734,31871009,31882818,32129335,32203142,32258801,32274927,32319544,32387489,32473121,32554779,32856881,33047789,33153569,33365727,33635756,33804941,34048855,34072584,34096589,34123814,34167564,34366001,34469261,34531121,34582155,34589820,34613489,34675181,34727607,34796839,34798349,34982561,35023409,35043821,35076374,35105009,35115750,35227169,35248746,35328749,35396676,35504679,35692781,35813549,35855407,35934029,35935864,36181142,36359487,36467095,36789041,36811876,36832170,36887632,36895808,37005389,37083821,37181681,37191847,37278854,37435094,37456800,37609889,37674858,37995809,38072609,38098744,38283149,38331657,38473709,38536276,38555202,38682401,38739149,38818552,39021809,39280587,39287648,39858989,39932621,39953920,39969389,40042829,40244129,40262381,40298861,40427847,40562600,40698029,40752161,40858626,40950029,41118259,41141654,41213752,41236109,41319831,41464455,41484749,41498586,41502449,41507784,41872301,42138900,42169121,42186509,42267475,42408952,42549809,42601421,42650671,42704429,42738701,42861087,42943661,42960689,43125304,43147469,43248941,43501361,43515355,43668641,43670871,43760514,43801889,43901489,43951181,44005972,44066849,44116301,44167094,44198604,44228752,44245227,44362481,44411501,44687921,44929901,44948160,44978081,45023332,45138161,45329201,45360929,45361142,45376781,45602799,45632925,45833009,45899050,45973229,45988769,46365471,46619021,46696257,46698424,46792959,46906529,47116529,47281814,47341154,47354609,47472881,47517101,47561249,47662279,47707889,47710071,47867894,47944704,48051080,48143009,48229169,48360952,48443309,48515967,48675120,49066852,49116461,49190275,49226861,49350449,49467734,49709770,49757346,49798061,49958669,50171021,50197421,50394401,50485709,50566680,50628401,50720970,50739412,50757281,50907014,50974541,51012641,51063329,51101261,51202061,51222010,51252487,51314849,51478694,51501389,51548959,51621254,51881201,51920128,51941741,51977969,52095850,52169969,52218426,52331894,52385464,52442381,52535727,52687409,52825841,52897814,52963121,52997261,53131210,53144369,53166881,53278961,53320742,53538519,53600755,53697569,53708429,53937792,53987981,54022742,54057465,54062321,54083489,54102368,54220301,54397169,54406071,54551309,54612461,54725035,54733901,54759510,54794189,55078860,55148055,55179041,55275761,55333409,55366399,55419341,55476269,55579889,55617329,55802609,55839281,55857569,56002721,56029709,56128049,56156344,56269361,56417261,56554349,56605229,56781041,56870007,56887515,56928929,56977649,57018029,57066221,57122081,57169649,57185441,57209069,57256109,57333869,57395501,57478742,57607181,57661296,57710669,57732641,57751334,57805361,57819809,57884429,57934241,58060529,58087939,58088695,58102049,58245101,58305329,58340452,58345121,58410144,58456301,58462769,58501409,58520621,58545331,58683639,58739441,58740370,58750784,58812209,58824592,58889741,58933647,58936781,58973752,58994861,59028330,59040749,59130989,59147681,59208269,59240294,59262509,59273261,59351079,59399789,59506721,59526689,59551469,59643809,59651724,59737889,59742509,59783729,59806349,59833229,59912141,59967521,60005069,60025649,60029741,60090161,60098081,60179309,60205601,60235169,60257009,60267821,60298276,60324269,60344909,60355121,60382001,60411629,60499661,60563347,60567281,60575789,60591255,60603629,60679841,60680016,60704561,60709409,60747041,60758381,60841901,60846904,60865164,60896141,60911009,60929530,60941729,60947489,60979361,60992429,60996941,60999149,61003469,61009709,61017581,61024049,61036589,61056269,61061681,61065761,61070381,61070861,61073549,61242614,61466412,61659715,61872151,61921876,62245732,62307687,62397115,62515020,62525631,62963552,63175887,63182584,63472742,63496279,63538276,63588039,63732374,63757452,64320906,64354125,64378934,64630672,64868958,65147476,65150054,65279224,65424619,65670042,65711412,65725791,65976952,66094632,66177666,66345471,66682688,67306742,67370955,67557734,67630220,67713247,67834744,68088970,68182694,68265018,68452767,68550307,68644400,68762104,69470935,69544934,69584746,69706434,69861475,70035974,70402742,70488444,70833996,71080407,71196772,71307064,71721715,71862352,72217142,72576134,72709506,72922552,73043047,73115436,73174300,73399252,73439127,73641370,73991658,74015319,74224071,74356461,74435275,74585942,74651476,74876538,74936294,75018024,75169142,76051239,76314087,76832824,76939255,77224950,77357367,77465942,77704879,78368534,78756482,79372934,80220447,80267145,80475254,80496184,80845146,80849355,80952952,81150052,81156264,81346742,81706764,81743095,82037871,82191255,82209014,82373280,82373476,82375579,82423142,82955942,82982770,82983850,83365122,83474035,83493319,83688184,83833770,83896276,84324374,84395277,84958195,84962647,85290394,85360454,85618288,85760319,85873094,86066058,86205927,86239312,86436927,86640952,86734978,86887574,86920276,87021487,87320824,87351159,87589142,87670672,87809160,87864832,87869815,88113475,88164087,88283654,88369644,88505995,88573772,88579142,88884555,89263574,89309211,89322330,89422688,89617252,89844614,90034552,90229094,90311095,90558207,90706454,90708970,91072071,91105492,91300797,91650374,91838584,91930742,92209814,92327106,92669940,92881876,93130694,93663104,93766742,94149207,94216742,94354276,94536952,94670156,94810192,95105942,95277152,95369894,95556125,95819476,95910279,96106744,96240374,96320574,96412742,96614600,96725335,96733210,96841142,96986452,97019226,97277476,97471071,97896952,97929010,98091714,98104742,98222007,98235927,98302666,98629506,98722911,98785305,98847936,99076714,99406780,99497654,99578294,99579324,99580620,...,63348609918274122791762717126464380867969349544698183762777334073474511651595065587035386211540032376534775737434048730402990300572237848612925188626513959668248731790994809561667412175857073190306392122469029529920722435772200584376488322030554580035019080966956458555758373102809918548132651073338532114692146086145001434022329476868715717643758241935935133510007264201580570829538622877138914495842722948940059233177557532301801946311915803640607103016309900298310858877376601741077896740054081958348285004516798893968051390465800739838429724941344821148546544976861839866560306881549977181617952325263423193554591846878833672960167213584212168218222601306051258962558851918721757740756655933239780695578992820889614869331692932644548284349254156482068682124410718712908664573675670828669486493433508686514917767235825216670163997014482244791737492856581728056515922288535082709285971879507552671747444907995163371818858227217883279769864306699559345941746724937997373203027779124967133189145434163267768130999521656020567863381040632917282560420268433749594824739420023282769307071851218877398863862467314102289238254807290015432096127169713429588759770971309431557401014759548654585599590456741441236868838009224175356584295202773087616090250061212615253856832080300254966368390284748150593949841777485993124058742293686540845640123185193647183385448419842201163868357095021043782924901608287114224138177774666159438300077421719015374180608185070106942492291106094680174448770082441357318272469802340261714997588815539789353822465768868778392943299703658478238598638612044671635942620005710607957594129091688263432716882723210432972343336126951556953631270469242460413496981692318981487941820892205680072113455100108634868959137997238113293950589725873904170434358999756614065950110005573873993560441543110052270643967269122561151477290597567583820155373187418560992805311320331198077947503473396418616452788650013067067826087519603476777408903784024543018053590951045023577893746852862079096766865465107080626254691546297815747652081109168816235434290219969544428136035291888542036828816010126575681377053888767108003933994336494700259384615092385168958057472479350937258665558998724184237293996600165411158381037836470220870803915117172720034408259740418264284104805133893977651711237658732025647372573325457597704863455014753290268716198780583853932391910532511255576004389793708898039497057155726831912350156014327920486620298275038592965611629366828197273028097473270878115049}
15631  4410528936332317052894574160911171320236365833559557352116076610: {31258,546665,655998,780950,937140,999616,1124568,1265139,1482665,1779198,1857233,2196921,2231801,2511761,2653190,2755713,3183828,3260609,3350345,3447821,3588230,3776894,4020414,4305876,4472321,4689881,4704681,5212265,5680948,5834774,6090321,6254718,6342281,6389030,6699830,7494461,7666836,7745961,7946561,8039796,8115640,8212241,8299732,8586233,8943494,9029321,9130095,9177209,9613912,9738768,10440089,10488081,10542833,10546276,10815651,10956114,11352230,11552198,11578881,11856760,11933753,12269201,12394713,12682934,12719873,12776420,12875775,12899030,13338855,13505129,13544921,13622676,13734160,13776833,14207081,14228112,14852152,14961809,15061190,15331704,15349865,15364838,15450930,15457694,15478836,15667913,16006626,16059603,16143988,16354961,16422374,16444713,16480992,16486814,16503140,16708671,16998233,17170262,17248167,17527430,17641001,17847544,18023609,18073428,18318081,18419838,18541116,18597689,18711161,19025318,19118575,19286381,19402073,19566281,19681190,19775489,19803768,19891275,20078487,20195582,20295830,20964809,21032916,21217360,21240561,21258365,21273833,21575801,21643721,21769113,22082420,22279239,22296801,22761878,22765001,22922174,22942290,23062840,23364230,23514665,23612241,23617428,23869530,23948681,23964845,24040961,24256502,24283190,24354996,24471776,24741641,25102721,25119796,25201430,25460832,25510038,25761965,25945695,25951121,26498438,26498904,26574772,26658365,26730230,27010361,27159761,27312250,27492029,27530748,27675408,27951830,27993062,28000265,28037076,28037318,28217598,28279601,28315815,28424489,28643436,28757814,29139828,29593713,29765609,29811267,29813511,30203536,30241716,30361721,30365481,30391190,30475901,30725732,30739049,30914358,31118765,31134834,31408361,31443881,31555901,31990038,32076276,32196692,32252774,32276678,32283832,32521430,32751521,32774700,32892845,32969396,33335465,33336401,33542196,33544121,33600318,33638558,33941361,33966233,33978978,34344230,34376692,34605041,34865342,34959680,35137601,35460921,35492275,35861030,35926553,35929478,36062033,36319311,36469428,36512894,36863465,36999302,37073030,37107833,37342518,37515974,37734641,37963960,37976241,38305241,38491433,38586230,38700158,38769929,38976321,39017500,39025716,39225801,39329640,39471414,40002558,40221561,40399430,40727321,40861121,40864193,40966113,41213076,41951616,42044695,42315833,42510424,42590730,42695841,42709455,42794849,42814721,43033236,43237275,43406372,44236158,44245845,44357609,44487636,44919830,45315614,45418841,45430112,45556752,45755369,45837281,46014845,46109540,46119760,46303476,46821000,46998328,47181734,47195568,47339572,47579601,47623430,47634281,47824227,48170345,48176141,48304713,48479316,48523190,48972158,48973373,49109560,49136801,49481921,49942400,50233144,50240129,50453634,50703250,50747993,51108876,51185721,51251346,51321101,51381374,51390281,51406936,51471518,51517190,51602033,51712001,51884730,52374116,52614561,52673625,52702001,52873119,53011190,53095014,53181302,53218241,53241041,53264774,53402294,53675453,53903796,53906630,54271713,54478168,55007465,55079561,55093108,55217814,55248255,55284761,55285940,55331448,55343712,55618733,55667249,55793561,55824089,55918281,56152641,56185200,56279165,56425118,56512287,56551838,56766974,57119321,57148116,57729833,57804414,57832803,57897341,58227828,58276553,58347281,58347352,58373030,58625369,58931472,58993636,59355401,59895014,59919158,59930880,60063850,60166841,60451190,60798782,60803732,60843900,60917201,61287939,61333565,61615661,61712481,61742609,61820628,61886201,62247879,62261676,62390612,62393681,62879558,62983181,63208350,63424265,63539729,63613428,63807233,63926272,64222601,64687956,64824254,64900160,65481830,65640771,65741318,65779961,66008958,66250641,66297906,66343128,66544118,66621449,66931433,67228721,67422240,67534998,67627960,67659929,68041713,68349854,68848575,68887481,69008141,69275453,69462614,69566033,69624568,69808793,70047636,70195430,70386569,70434161,70833833,70922721,71011731,71213753,71368169,71384692,71801841,71917056,72076620,72212873,72335681,72541428,72679433,72925565,72980153,73012680,73125398,73227161,73256609,73438480,73530740,73600278,73700201,73717190,73757441,74201601,74564655,74636019,74916002,75161081,75372845,75459398,75810833,75826676,75850020,76058630,76081455,76109118,76360521,76405721,76698953,76711838,76833015,76862654,76881728,77218041,77402345,77431881,77666054,77701958,77807165,77880192,78143775,78244852,78327639,78497841,78578196,78704440,78780233,78783998,78978230,79134772,79326221,79346721,79376774,79422845,79535632,79696815,79887233,79981113,80067782,80358761,80532614,80552438,80788340,80906688,81034113,81153552,81434345,81528854,81599030,81852209,81955216,82139265,82424033,82471190,82618290,82719833,82735001,82788953,82958918,82999169,83076916,83353360,83367508,84093401,84234516,84432521,84537775,84784052,84793430,85009936,85092761,85280873,85659833,85761208,85805500,85952630,86218113,86280041,86491944,86627001,86851094,87510678,87521933,87540182,87560056,87615216,87634388,88055249,88110555,88126176,88197641,88236888,88460628,88542495,88587233,88860441,88995965,89133830,89477586,89827940,90071501,90447414,90531833,90694241,90812198,90835382,90983153,91020024,91021841,91114121,91153190,91270356,91297746,91394295,91467875,91502033,91553741,91749065,91863921,92199618,92579078,92882814,92941912,93190214,93314345,93368598,93438233,93772530,93824801,93984592,94177529,94270553,94445328,94773876,95008769,95209113,95307414,95323433,95377478,95552678,95582849,95598561,95636178,95794361,96041030,96149558,96481359,96566993,96568401,96643181,96716921,96946008,97042214,97179161,97303437,97487248,97673801,97721214,97725081,97849094,97918836,98001278,98505063,98567118,98655544,98687092,98895998,98917673,98965428,99141948,99213233,99266499,99596441,99835384,...,84464813224365497055683622835285841157292466059597578350369778764632682202126754116047181615386709835379700983245398307203987067429650464817233584835351946224331642387993079415556549567809430920408522829958706039894296581029600779168651096040739440046692107955941944741011164137079891397510201431118042819589528114860001912029772635824954290191677655914580178013343018935440761106051497169518552661123630598586745644236743376402402595082554404854142804021746533731081145169835468988103862320072109277797713339355731858624068520621067653117906299921793094864728726635815786488747075842066636242157269767017897591406122462505111563946889618112282890957630135074735011950078469224962343654342207910986374260771990427852819825775590576859397712465672208642758242832547624950544886098234227771559315324578011582019890356314433622226885329352642993055649990475442304075354563051380110279047962506010070228996593210660217829091810969623844373026485742266079127922328966583996497604037038833289510918860578884357024174666028874694090484508054177223043413893691244999459766319226697710359076095801625169865151816623085469718984339743053353909461502892951239451679694628412575409868019679398206114132787275655254982491784012298900475445726937030783488120333414950153671809109440400339955157853712997534125266455703314657498744989724915387794186830913591529577847264559789601551824476126694725043899868811049485632184237032888212584400103228958687165574144246760142589989721474792906899265026776588476424363293069787015619996785087386385805096621025158371190591066271544637651464851482726228847923493340947477276792172122251017910289176964280577296457781502602075938175027292323280551329308923091975317255761189607573429484606800144846491945517329650817725267452967831872227245811999675485421266813340765165324747255390813403027525289692163414868636387463423445093540497583224747990407081760441597437263337964528558155270384866684089423768116692804635703211871712032724024071454601393364770524995803816105462355820620142774168339588728397087663536108145558421647245720293292725904181380389184722715771754680168767575169405185022810671911992448659600345846153456513558610743296639134583011554078664965578983058662133553881544508050448626961161071886822896960045877679653891019045473073511858636868948316878309367529830097767276796939817940019671053691621598374111805243189214043348340768005853058278530719329409540969109216466874685770560648827064366718123954148839155770929697370796631027837486732}
15632  4430066133817864491497041080801974032165430719693356186813502783: {46887,203047,343618,483631,717922,874664,904858,983997,1135807,1171425,1249520,1405710,1464802,1499424,1686852,1899418,2153527,2209378,2372264,2457058,2668797,2766298,2796631,2929228,2979727,3198562,3674284,3709231,3979785,4162831,4245082,4245104,4343767,4775742,4794847,4858522,5042242,5360552,5382345,5531458,5665341,5691607,5741168,5897698,6030621,6272908,6458814,6581167,6669727,7053658,7101185,7356898,7901722,8120428,8164231,8264218,8324578,8339624,8412173,8521422,8599831,8626138,8752161,9033631,9293047,9382077,9528418,9583545,9708442,10049745,10127938,10144550,10222448,10327948,10374665,10580407,10719728,10785562,10964578,11203042,11500254,11857498,12017390,12019831,12059694,12095002,12173460,12449598,12606487,12985024,12995633,13101538,13182845,13415241,13455682,13521247,13868122,13984108,14420868,14608152,14820950,14866498,15100738,15162127,15393178,15438508,15567847,15616601,15801922,15819414,15970525,16373887,16434171,16500802,16526284,16694287,16791322,16933831,17028345,17139418,17167700,17328297,17331631,17371162,17490247,17727631,17785140,18007138,18163568,18410842,18514231,18526042,18565190,18970816,19024401,19164630,19348545,19388002,19680631,19789018,20132122,20179985,20417602,20434014,20442272,20601240,20628925,20638448,20645698,20678407,20930458,20982967,21058927,21342168,21412804,21814567,21839002,21926284,21974656,22008898,22122082,22278228,22309430,22348258,22591785,22630618,22711831,22997556,23047257,23176395,23186541,23218254,23304247,23362882,23672167,23980378,24009939,24097904,24215982,24329887,24402607,24424108,24559784,24633561,24721488,24730221,24754710,24909631,25376578,25487842,25755393,25770607,25876762,26043202,26291145,26405024,26428094,26521700,26691631,26707522,26771316,27110142,27252367,27603025,27629757,27809602,27811674,28043888,28248353,28320748,28537977,28631962,28828550,29014498,29025484,29178202,29505178,29521785,29705652,29729068,29785831,30120631,30293373,30320098,30443745,30586327,30589720,31114231,31131418,31399745,31482988,31489904,31549374,31572367,31616482,31777882,31826040,31885402,32473328,32542207,33123630,33218465,33243127,33330658,33947776,34013384,34128538,34142817,34383261,34413435,34446682,34495207,34594260,35046345,35049247,35239522,35331872,35397658,35426142,35804295,35839231,35959687,36259567,36384753,36424785,36438631,36532494,36707664,36814402,36900544,36971098,37196621,37336162,37382768,37440322,37623464,37679694,37754420,37802145,37960162,38078647,38191248,38265057,38343752,38365567,38407165,38650687,38853104,39046831,39355738,39458284,39606631,39747657,39748356,39751348,39862158,40074778,40095345,40245865,40268887,40322288,40323607,40354790,40433122,40487308,40688602,40968375,40974631,41082127,41123537,41198362,41211745,41219144,41296122,41509231,41513112,41655778,41909338,41927745,41989593,42055614,42055977,42061282,42193447,42326397,42653384,42768368,42965154,42967807,42969922,42970865,43136721,43171567,43472482,43622938,43699600,43709742,43873378,43925407,43954001,44074231,44222407,44373058,44711647,44722928,44800424,44821402,44905327,44920858,44981069,45255148,45305304,45362574,45367618,45384487,45417178,45586785,45668527,45996631,46088598,46089727,46371537,46454242,46552642,46702251,47281228,47288602,47337538,47454950,47495887,47581978,47668397,47923522,47985057,48114414,48295038,48379161,48415017,48425748,48507202,48625904,48652762,48771875,48782145,49162050,49454094,49523098,49790024,49812058,49980967,50180047,50219647,50313294,50340322,50400477,50416567,50457837,50494831,50531938,50634988,50968467,50996527,51053933,51391042,51486178,51516345,51523207,51533722,51560287,51565038,51676258,51968428,51999631,52034288,52197658,52298013,52301068,52339522,52357831,52439520,52604287,52628552,52639207,52952602,52984447,53120527,53138030,53328538,53336744,53375458,53628748,53718631,53791545,53816047,53894217,54136087,54257965,54417967,54450202,54589762,54621484,54673729,54704142,54769341,54775618,54914842,54950768,55424098,55498953,55609545,55747162,55822831,55935488,55977442,56013777,56013847,56273961,56280607,56437207,56540167,56616631,56787640,56817367,56927788,56945940,57109831,57228631,57377648,57532738,57619087,57636925,57649700,57805282,57879345,58031962,58050237,58213018,58216831,58475167,58513831,58526250,58538574,58571287,58619458,58747910,58981544,58994460,59174465,59207121,59226631,59307631,59316848,59383642,59433487,59657047,59755831,59824231,59851087,59864407,60003837,60043327,60115687,60196831,60409231,60531847,60571121,60599145,60726247,60742336,60761527,60844831,60890047,60921497,60925831,61030807,61051831,61058527,61068247,61071631,61076167,61085887,61086607,61163482,61386950,61737968,61819614,61880093,62043802,62175298,62428000,62791430,62874178,62927424,63091738,63265498,63439468,63742018,63765636,63886095,64258670,64406284,64517602,64549854,64639088,64774978,64946242,65109558,65433017,65467645,65713762,66095578,66307138,66354237,66731454,67013881,67271512,67379745,67609882,67973421,68097710,68145168,68193178,68247628,68335128,68732002,68866385,68938522,69062242,69107425,69164310,69179640,69226978,69350362,69455214,69593678,69596698,69965122,70046818,70087642,70152748,70210018,70231500,70454338,70497492,70657498,70772601,70793352,71009358,71385562,71435145,71627098,71710814,71868058,71871728,72362284,72718974,72784785,72934190,73121633,73458237,73578082,73623752,73664340,73742045,73775264,73791616,74010778,74167642,74363362,74383694,74557708,74870188,74913600,75041057,75219778,75349716,75680451,75991618,76004665,76054875,76145218,76197488,76549453,76566298,76615049,76663314,76877019,76947418,77072061,77072552,77110404,77207277,77237809,77275785,77364802,77478298,77637104,77827095,77988265,78043618,78561174,78575296,79516785,79642521,79717978,79771953,79865242,79897161,79907840,79938778,80085658,80103441,80488258,80524762,80597722,80855694,80859945,81125200,81324173,81396058,81504322,81717252,81900058,82236518,82283308,82427504,82472218,82639662,82826721,82928910,82969498,82997172,83004898,83015568,83744602,84277800,84338242,84373018,84534950,84637677,84817904,84827757,85099618,85150461,85202842,85301342,85408858,85477402,85722174,85887322,85921378,86250608,86294938,86323601,86497882,86706621,87002722,87030710,87337282,87341742,87355961,87521028,87559545,87603778,87802978,87902362,88011944,88133698,88232602,88334188,88397208,88457504,88490454,88724962,88823002,89230865,89375842,89842521,89859802,89878737,89896320,89956162,90046664,90095775,90276322,90658402,90676785,90721858,90722284,90753562,91198173,91205598,91265850,91666018,91798100,91913425,91946458,91977538,92730942,93238042,93392514,93396848,93585918,93813058,94233058,94319337,94563628,94682308,94709218,94783345,94812525,94945762,95034202,95122498,95324558,95415778,95420142,95735788,95889408,96102160,96286018,96458338,96721904,96886618,97031934,97236381,97259309,97350240,97352957,97806065,98133704,98222745,98232922,98380550,98453722,98611977,98700898,98918465,98935468,99013437,99419540,99446859,99514692,99596122,99816177,99917338,...,126697219836548245583525434252928761735938699089396367525554668146949023303190131174070772423080064753069551474868097460805980601144475697225850377253027919336497463581989619123334824351714146380612784244938059059841444871544401168752976644061109160070038161933912917111516746205619837096265302146677064229384292172290002868044658953737431435287516483871870267020014528403161141659077245754277828991685445897880118466355115064603603892623831607281214206032619800596621717754753203482155793480108163916696570009033597787936102780931601479676859449882689642297093089953723679733120613763099954363235904650526846387109183693757667345920334427168424336436445202612102517925117703837443515481513311866479561391157985641779229738663385865289096568698508312964137364248821437425817329147351341657338972986867017373029835534471650433340327994028964489583474985713163456113031844577070165418571943759015105343494889815990326743637716454435766559539728613399118691883493449875994746406055558249934266378290868326535536261999043312041135726762081265834565120840536867499189649478840046565538614143702437754797727724934628204578476509614580030864192254339426859177519541942618863114802029519097309171199180913482882473737676018448350713168590405546175232180500122425230507713664160600509932736780569496301187899683554971986248117484587373081691280246370387294366770896839684402327736714190042087565849803216574228448276355549332318876600154843438030748361216370140213884984582212189360348897540164882714636544939604680523429995177631079578707644931537737556785886599407316956477197277224089343271885240011421215915188258183376526865433765446420865944686672253903113907262540938484920826993963384637962975883641784411360144226910200217269737918275994476226587901179451747808340868717999513228131900220011147747987120883086220104541287934538245122302954581195135167640310746374837121985610622640662396155895006946792837232905577300026134135652175039206953554817807568049086036107181902090047155787493705724158193533730930214161252509383092595631495304162218337632470868580439939088856272070583777084073657632020253151362754107777534216007867988672989400518769230184770337916114944958701874517331117997448368474587993200330822316762075672940441741607830234345440068816519480836528568209610267787955303422475317464051294745146650915195409726910029506580537432397561167707864783821065022511152008779587417796078994114311453663824700312028655840973240596550077185931223258733656394546056194946541756230098}
15633  4449689192599934724829624704083993611443195127813628435215801094: {62516,515427,765331,1076883,1093330,1311996,1357287,1561900,1874280,1999232,2075731,2108565,2197203,2249136,2530278,2637583,2849127,2965330,3314067,3558396,3661535,3685587,3714466,3853447,4149447,4393842,4463602,4592855,4690483,4797843,5023522,5306380,5511426,6367623,6367656,6521218,6700690,6895642,7027031,7163613,7176460,7287783,7297171,7495423,7553788,7563363,7841135,8040828,8297187,8611752,8846547,8944642,9076727,9178387,9379762,9409362,9688221,10150535,10392527,10424530,10580487,11035347,11361896,11669548,11852583,12145331,12180642,12338287,12396327,12439631,12486867,12509436,12684562,12778060,12782133,12909935,12939207,13399660,14292627,14562663,14681567,14988922,15191907,15216825,15333672,15491922,15893122,15960607,16079592,16178343,16231280,16424482,16446867,16599464,16804563,17172466,17250381,17480135,17786247,17886988,18026085,18058642,18089541,18142503,18260190,18354418,18674397,19227824,19298135,19477536,19652307,20183523,20657855,20740147,20802183,20880178,20976162,21085666,21092552,21102707,21300271,21459625,21489811,21555367,21631302,21912228,21979087,22231425,22299747,22651107,22704460,23089767,23104396,23157762,23492351,23702883,23713520,23729121,23867506,23901887,24538402,24751203,24789426,25186983,25360247,25365868,25439746,25552840,25578943,25709127,25751550,25798060,26056743,26141231,26677710,26766005,27010258,27010707,27089842,27245352,27407855,27468320,27553666,27616263,27789063,27847785,28414162,28456224,28746945,29082003,29388031,29641043,29683527,29704304,29761711,29923618,30122380,30198183,30355027,30407267,30530135,30626403,30651021,30663408,30699730,30729676,30901860,30915388,30957672,30968547,31335826,31395687,32013252,32119206,32287976,32709922,32758503,32844748,32889426,32920531,32961984,32973628,33006280,33013347,33152125,33183123,33417342,33464145,33522387,33550783,33945927,33996466,34340524,34496334,34827381,35044323,35054860,35282002,35400935,35695088,35970567,36047218,36066751,36146856,36281855,36323973,36327967,36636162,36839676,37082232,37132065,37161335,37195378,37321711,37422322,38050636,38064867,38231763,38237150,38572762,38706343,38804146,38815143,39064803,39132562,39177911,39200371,39353735,39362380,39550978,39607536,39642141,39782550,40061283,40156974,40276703,40391164,40441907,40591660,40665213,41714403,41717511,41929618,42065832,42434720,42481122,42516730,42547666,42947943,43056371,43151602,43242825,43287442,43521747,43538226,43566271,43615343,43767303,44164840,44257767,44433587,44558478,44593602,45417863,45480147,45523756,45530002,45819007,45844348,45884580,46049983,46125680,46669651,46697127,46728460,47029330,47193025,47224482,47234856,47324061,47424723,47666823,47739060,47828103,47851747,47897362,47929690,48081922,48087191,48513004,48566380,48709992,48755423,48943552,49322855,49405367,49483282,49685445,49689185,49995987,50205442,50239592,50402860,50609135,50921664,51020076,51192807,51523930,51608851,51670023,51891390,51902242,52350847,52690867,52859283,52984847,52996876,52997808,53096487,53139213,53149544,53316730,53460460,54020722,54074527,54319522,54624500,54798741,54984058,55061496,55221603,55350816,55456647,55903660,55986124,56000530,56004243,56074152,56074636,56160483,56435196,56519541,56559202,56568935,56631630,56848978,56940243,57286872,57515628,57716431,58279656,58781927,58862573,59033607,59043823,59101535,59187426,59289527,59316563,59531218,59622534,59627022,59793237,60112167,60273587,60407072,60483432,60532185,60649683,60723442,60730962,60782380,60932063,60951802,61032903,61114183,61450391,61451464,61478098,61797543,61828716,61944183,62237530,62269668,62284183,62476751,62483667,62816722,62864007,62887762,63083421,63091923,63111802,63293735,63980076,64152552,64393384,64420783,64447731,64454883,64505548,64553356,64567664,64621303,64823951,64960535,65042860,65182007,65208723,65211667,65376335,65434407,65503042,65549400,65564613,65785690,65788567,65810067,65938792,66559587,66670930,66672802,67035935,67084392,67088242,67103471,67200636,67232103,67277116,67381287,67438483,67882722,67932466,67957956,68043861,68051427,68125767,68171303,68276855,68688460,68753384,69132897,69210082,69284527,69681363,69730684,69828963,69836303,69919360,70275202,70392967,70921842,70932903,70984550,71006307,71159735,71182425,71372967,71722060,71853106,71858956,71885283,72062125,72124066,72171621,72326131,72442557,72638622,72760803,72938856,72979143,73025788,73726930,73743075,73998604,74146060,74181141,74215666,74284647,74660767,74685036,74718087,74939447,75031948,75092407,75469282,75469941,75510483,75776263,75797907,75927920,75952482,76610482,76881431,76982866,77010451,77086563,77172460,77229267,77300583,77347557,77400316,77514387,77539858,77952642,78013267,78035000,78051432,78296487,78451602,78509283,78659280,78790831,78942828,79299335,79428903,79707045,79992807,80005116,80063187,80314643,80443122,80507855,80798860,81454642,81675303,81722242,81722531,81728386,81884643,81932226,82056213,82163427,82177103,82372263,82405343,82426152,82434787,82446311,83041031,83136147,83184127,83620743,83903232,83966163,84089390,84631666,85020848,85181460,85309535,85372607,85391682,85418910,85487623,85589698,85629442,85866991,86066472,86299107,86474550,86543831,86707923,86812744,87047943,87319527,87690935,87747383,87789375,87807861,87929187,88121865,88472316,88491690,88667507,88715218,88793971,88975272,89075463,89285731,89685151,89839660,90071831,90452855,90631228,90837682,90860224,91113504,91510738,91593263,91674562,91745223,92029690,92080425,92203607,92219080,92239520,92350627,92606952,92631863,92729421,93065703,93197135,93262947,93587735,93642000,93996656,94187145,94216727,94311267,94341287,94363468,94391136,94637607,94679144,94898247,95159202,95246860,95268562,95613027,95648454,96340690,96352282,96388005,96609426,96776403,96824781,96958632,97046380,97162467,97419363,97643171,97664337,97773887,97818631,97944316,97946746,98089927,98219120,98273602,98570643,98963842,99071327,99143367,99182063,99460707,99884800,...,190045829754822368375288151379393142603908048634094551288332002220423534954785196761106158634620097129604327212302146191208970901716713545838775565879541879004746195372984428685002236527571219570919176367407088589762167307316601753129464966091663740105057242900869375667275119308429755644397953220015596344076438258435004302066988430606147152931274725807805400530021792604741712488615868631416743487528168846820177699532672596905405838935747410921821309048929700894932576632129805223233690220162245875044855013550396681904154171397402219515289174824034463445639634930585519599680920644649931544853856975790269580663775540636501018880501640752636504654667803918153776887676555756165273222269967799719342086736978462668844607995078797933644853047762469446206046373232156138725993721027012486008459480300526059544753301707475650010491991043446734375212478569745184169547766865605248127857915638522658015242334723985490115456574681653649839309592920098678037825240174813992119609083337374901399567436302489803304392998564968061703590143121898751847681260805301248784474218260069848307921215553656632196591587401942306867714764421870046296288381509140288766279312913928294672203044278645963756798771370224323710606514027672526069752885608319262848270750183637845761570496240900764899105170854244451781849525332457979372176226881059622536920369555580941550156345259526603491605071285063131348774704824861342672414533323998478314900232265157046122541824555210320827476873318284040523346310247324071954817409407020785144992766446619368061467397306606335178829899110975434715795915836134014907827860017131823872782387275064790298150648169631298917030008380854670860893811407727381240490945076956944463825462676617040216340365300325904606877413991714339881851769177621712511303076999269842197850330016721621980681324629330156811931901807367683454431871792702751460466119562255682978415933960993594233842510420189255849358365950039201203478262558810430332226711352073629054160772853135070733681240558586237290300596395321241878764074638893447242956243327506448706302870659908633284408105875665626110486448030379727044131161666301324011801983009484100778153845277155506874172417438052811775996676996172552711881989800496233475143113509410662612411745351518160103224779221254792852314415401681932955133712976196076942117719976372793114590365044259870806148596341751561797175731597533766728013169381126694118491171467180495737050468042983761459860894825115778896834888100484591819084292419812634345147}
15634  4469398487041119284750795168640259222149273085610252832572266117: {78145,93774,406094,687236,825793,967262,1290733,1435844,1639995,1661389,1749328,1809716,1952375,1967994,2123089,2271614,2342850,2499040,2582989,2674753,2811420,2929604,2949613,2998848,3373704,3588433,3795417,3798836,3861133,3951889,4307054,4418756,4447995,4744528,4914116,5304589,5337594,5532596,5571699,5593262,5858456,5959454,6108433,6397124,6590763,6632975,6695403,6994753,7348568,7418462,7535283,7610893,7959570,8267139,8325662,8397889,8490164,8490208,8687534,8970575,9265489,9442235,9551484,9589694,9717044,9781827,9941659,10051035,10084484,10125889,10211533,10343463,10721104,10764690,11062916,11064013,11330682,11383214,11482336,11795396,12061242,12161473,12545816,12747373,12917628,12997393,13080589,13162334,13339454,13412653,13416963,14069643,14107316,14114043,14202370,14319889,14524531,14586935,14713796,14811073,15636795,15803444,15866413,15947089,15972575,16240856,16328462,16528436,16649156,16679248,16749575,16824346,17042844,17148589,17199662,17252276,17504322,17624653,18067262,18270963,18455983,18586094,18725389,18764154,19026843,19056836,19167090,19416884,20099490,20255876,20273389,20289100,20444896,20655896,20749330,20764931,20960593,21160814,21439456,21571124,21867793,21929156,22242733,22358735,22406084,22466833,22483383,22913089,23000508,23237883,23282989,23714996,23839683,23944273,24034780,24039662,24090433,24119388,24190004,24346920,24636723,24899196,25212974,25750573,25758699,25821889,25970048,25991266,26203076,26248273,26365690,26830482,26911364,27042494,27087963,27390285,27531627,27736244,27968216,28203793,28251979,28380575,28547053,28841736,28880495,29216304,29641900,29700673,29732996,29969089,30201476,30302989,30324254,30635089,30786356,30877016,31135694,31233202,31320267,31464243,31603844,31628499,31638828,31685713,31707335,31941050,31945489,32247575,32268589,32446953,32747774,32868342,33001604,33052568,33163693,33388574,33582644,33794413,33867662,34056690,34231633,34278836,34335400,34656594,34663262,34736643,34742324,34850113,34980494,35034253,35339713,35455262,35570280,35801259,36014276,36327136,36364813,36807603,36821684,37028462,37052084,37130380,37184139,37544173,37652975,37941632,38048802,38123053,38159619,38329260,38412095,38627325,38644235,38697090,38776004,39203089,39361262,39578036,39982273,40016565,40264244,40311889,40359970,40515387,40634763,40835204,40868028,40884544,41055935,41202480,41217035,41257850,41276896,41291396,41330499,41338573,41356814,41657389,41860916,41965934,42117854,42391213,42621243,42684336,42701389,42752833,42825608,42925655,43263313,43515853,43629134,43678004,43818575,43852568,43949312,43959643,44017796,44164033,44244164,44556456,44618860,44696516,44702989,44885427,44993293,45137473,45183570,45233233,45261236,45376333,45423662,45895489,45995112,46049595,46094514,46352790,46373082,46436508,46505851,46543633,46608494,46635073,46725764,47003739,47344334,47563295,47960756,48019878,48102253,48178809,48195808,48317713,48431964,48616333,48659774,48805214,48848216,49064883,49119568,49202975,49244353,49267122,49334139,49368013,49442976,49460442,49509420,49572673,49815889,49819262,49856173,50126013,50215489,50412589,50488955,50739575,50753156,50975684,50994699,51510786,51541214,51705133,51744501,51753524,51924589,52086404,52582290,52810048,52845613,52856188,52923003,52982989,53043400,53186893,53287873,53383262,53415044,53542632,53770031,53976589,54070827,54104173,54220284,54504734,54680747,54755089,54785293,54935233,54954243,55171393,55200589,55206050,55259514,55460113,55601773,55619204,55623348,55657933,55741633,55793067,55879693,56069953,56087776,56133483,56344211,56496706,56594113,56641496,56670253,56904695,56968333,57041233,57075954,57208813,57263924,57302989,57305435,57355725,57657100,57696443,57843853,57859143,57972589,58028996,58050968,58160833,58201873,58206219,58303213,58356404,58402753,58410575,58444331,58481089,58500493,58558273,58671889,58690573,58698843,58837453,58873453,58962193,59010356,59043570,59299153,59326467,59411304,59458136,59571662,59673825,59860033,60077293,60125389,60159211,60235461,60241262,60389773,60586746,60621073,60640196,60641255,60707975,60708589,60738253,60780589,60887490,60996589,61015489,61019053,61029313,61032589,61097389,61101889,61104913,61105489,61172654,61179440,62228462,62262836,62799490,62894427,62965976,62979808,63003575,63098748,63144734,63232964,63555764,63652080,63721683,63770804,63775095,63821499,64614407,64727403,64931163,64946656,65084414,65307339,66246095,66247260,66436930,66486254,66661316,66825575,66837717,66890403,67022483,67895552,68026768,68257076,68280625,68285634,68295003,68766522,68826870,68893364,68990414,69188520,69879575,69982655,70092690,70093295,70098494,70479044,70543995,70663744,70795316,70836723,70852284,71608590,71678462,71846043,71894535,71919374,72122883,72519134,72769506,72849570,72877262,73064988,73131019,73415328,73628804,73801088,73942196,74224923,74393242,74672324,74765536,74880644,74897867,75246928,75308163,75359388,75508840,75604290,75920324,75961151,75977975,76157294,76382496,76530114,76559279,76687504,76731134,76814330,77285895,77301374,77706208,77837085,77853363,78093662,78711476,78916568,79198223,79213262,79495314,79496712,79502696,79724316,79975095,80149556,80190690,80491730,80537774,80631935,80644576,80647214,80691695,80709580,80866244,80974616,81005507,81031083,81303575,81377204,81479283,81936750,81949262,82164254,82247074,82396724,82423490,82438288,82476087,82592244,82844251,83018462,83026224,83311556,83818676,83855490,83979186,84000795,84096395,84111228,84111954,84122564,84386894,84652794,84838803,84947445,85273467,85306768,85536736,85555271,85860575,85930308,85935614,85939844,85941730,86273442,86343134,86944964,87163355,87245876,87399200,87419484,87746756,87850814,87908002,88148462,88444814,88746116,88781139,89296827,89423294,89433801,89440533,89445856,89600848,89642804,89652575,89810654,89823695,89841716,89962138,90510296,90610608,90725148,90735236,90768974,90834356,91085163,91096443,91173570,91281047,91282235,91337054,91427703,91654703,91993262,92177196,92179454,92217147,92498255,92682575,92743074,92908484,93105284,93356295,93404502,93789935,94225083,94331643,94562456,94577204,94667703,94675076,94909900,94991774,95163956,95336794,95847044,95970114,96228828,96412939,96465575,96590076,96750395,96758322,96830034,96851496,97014404,97251808,97305524,97543750,97564290,98254563,98324100,98678535,98908188,99046196,99580048,99624116,99779867,99961934,...,253394439673096491167050868505857523471877398178792735051109336293898046606380262348141544846160129506139102949736194921611961202288951394451700754506055838672994927163979238246669648703428292761225568489876118119682889743088802337505953288122218320140076323867825834223033492411239674192530604293354128458768584344580005736089317907474862870575032967743740534040029056806322283318154491508555657983370891795760236932710230129207207785247663214562428412065239601193243435509506406964311586960216327833393140018067195575872205561863202959353718899765379284594186179907447359466241227526199908726471809301053692774218367387515334691840668854336848672872890405224205035850235407674887030963026623732959122782315971283558459477326771730578193137397016625928274728497642874851634658294702683314677945973734034746059671068943300866680655988057928979166949971426326912226063689154140330837143887518030210686989779631980653487275432908871533119079457226798237383766986899751989492812111116499868532756581736653071072523998086624082271453524162531669130241681073734998379298957680093131077228287404875509595455449869256409156953019229160061728384508678853718355039083885237726229604059038194618342398361826965764947475352036896701426337180811092350464361000244850461015427328321201019865473561138992602375799367109943972496234969174746163382560492740774588733541793679368804655473428380084175131699606433148456896552711098664637753200309686876061496722432740280427769969164424378720697795080329765429273089879209361046859990355262159157415289863075475113571773198814633912954394554448178686543770480022842431830376516366753053730867530892841731889373344507806227814525081876969841653987926769275925951767283568822720288453820400434539475836551988952453175802358903495616681737435999026456263800440022295495974241766172440209082575869076490244605909162390270335280621492749674243971221245281324792311790013893585674465811154600052268271304350078413907109635615136098172072214363804180094311574987411448316387067461860428322505018766185191262990608324436675264941737160879878177712544141167554168147315264040506302725508215555068432015735977345978801037538460369540675832229889917403749034662235994896736949175986400661644633524151345880883483215660468690880137633038961673057136419220535575910606844950634928102589490293301830390819453820059013161074864795122335415729567642130045022304017559174835592157988228622907327649400624057311681946481193100154371862446517467312789092112389893083512460196}
15635  4489194393123370773670509267309853058582667659244799030879176197: {125032,140661,609141,859045,1030854,1450893,1530662,1794805,2153766,2186660,2262145,2623992,2714574,2918509,2951991,3123800,3407421,3514275,3662005,3748560,3947053,3998464,4151462,4217130,4394406,4498272,4508689,4748545,5060556,5126149,5275166,5523445,5698254,5930660,6142645,6429997,6460581,6628134,6915745,7027933,7116792,7323070,7369813,7371174,7428932,7706894,7996405,8006391,8298894,8304673,8389893,8787684,8927204,8939181,9185710,9380966,9595686,9800449,10047044,10393861,10612705,10612760,10727041,10977589,11022852,11109253,11127693,11939355,12146305,12487453,12488493,12605605,12735246,12735312,13031301,13042436,13401380,13791284,13828645,13903117,14054062,14188933,14210749,14327226,14352920,14353573,14384541,14575566,14594342,14744245,14990846,15107576,15126726,15397741,15605677,15682270,16081656,16147035,16567309,16594374,16705537,16996023,17074821,17223504,17634145,17693094,17712589,17889284,18073909,18091863,18153454,18356774,18392245,18759524,18818724,18966421,19280173,19376442,19743501,19754305,20009181,20301070,20660545,20785054,20811445,20849060,21160974,21206917,21303555,21565345,21649309,21818053,22070694,22325413,22723792,23339096,23705166,23821045,24271105,24290662,24361284,24472189,24492693,24676574,24792654,24879262,24973734,25018872,25236519,25319845,25361375,25369124,25378453,25550293,25556120,25564266,25700653,25799493,25819870,25878414,26256157,26256483,26711509,26799320,26963905,27017389,27043189,27100893,27411445,27416413,27721573,27879141,28007605,28146231,28214509,28585254,28750635,28920997,29125326,29363134,29403253,29643745,29971201,29977844,30043475,30149235,30237505,30383814,30433650,30667344,30747013,30983844,31123995,31741221,31786244,31921214,32159184,32356686,32462560,32753845,32848964,32893734,33198928,33430309,33609126,33639205,33770593,34330069,34344932,34500762,34670305,34960270,35572357,35572494,35773573,35773976,35935861,36032053,36052170,36059493,36117284,36179082,36285006,36520380,36708836,37052375,37166245,37348794,37472407,37751845,37778653,37819461,38370997,38455648,38482945,38596270,38955072,38986899,39304614,39447133,39504805,39548535,39703789,40245723,40367046,40563741,40780333,40789429,41252005,41265409,41315710,41480294,41604366,41760356,41952324,41978305,42171332,42185104,42205414,42444853,42600542,42652669,42742189,42848545,42919250,42979622,43110734,43262604,43427905,43787077,43824456,43865389,43958174,44439373,44462850,44515909,44599494,45017845,45302214,45408920,45486381,46027105,46179534,46208792,46315105,46315524,46412975,46703541,46849803,46980877,46984702,47405766,47427040,47458242,47735012,47794981,47803774,47911575,48470005,48986017,49076804,49121661,49302513,49411813,49467181,49472545,49502406,49561309,49578852,50082861,50091469,50330305,50373966,50720494,50731736,50761141,50770561,50794597,50801493,50879492,51044005,51085035,51105680,51157886,51403549,51418254,51503100,51596120,51614245,51984891,51994893,52025869,52113486,52282462,52326145,52385773,52470741,52512421,52783933,53182893,53355420,53375509,53532010,53696053,54020516,54021414,54179684,54490704,54597505,54815710,54936640,55022245,55095229,55107332,55232526,55305205,55542693,55578126,55695570,55773575,55870645,56576545,56668909,56828324,56912448,57073203,57493890,57912289,58045635,58164006,58312309,58367893,58388161,58407205,58776062,59041893,59282086,59297293,59367054,59393869,59408608,59523422,59847236,59950945,60244760,60396366,60539955,60710054,60814534,61060270,61252806,61302042,61326816,61399460,61431781,61459352,61631569,61803720,61830776,61886775,61915344,61937094,62035221,62347477,62671652,62791374,62835853,62948901,62999569,63176781,63441445,63719605,64026504,64156513,64210333,64238412,64575952,64691905,65108005,65419844,65443701,65517006,65688349,65689496,65778852,65841062,65923968,65947256,66012560,66026694,66070235,66304250,66366246,66496309,66768805,66834684,66928290,67044774,67101566,67112209,67775355,67891854,67992932,68100541,68135493,68681048,68992668,69051997,69141771,69524005,69529185,69559623,69564859,69654762,69826957,69912741,70069441,70088646,70109720,70190977,70545301,70564004,70801870,70852789,71016501,71232421,71390176,71579905,71941134,72029817,72030013,72071375,72094436,72133502,72231517,72293712,72536245,72563710,72647946,72655934,72945505,72989661,72999061,73080481,73207821,73272324,73679352,73719229,73762945,73900683,74164464,74190663,74264130,74322670,74390756,74643422,74728893,74741053,74771077,74844644,74968549,74997997,75800245,75869221,76101272,76129734,76463526,76474300,77033281,77145524,77214973,77266179,77311821,77412686,77608292,77630286,77828545,78100213,78129606,78265124,78355822,78371809,78400742,78707470,78724760,78873435,79041205,79101956,79196509,79215072,79284282,79444705,79565100,79713505,80074893,80081557,80122566,80313948,80536669,80553406,80782328,80883814,80928109,81022261,81088909,81183320,81330426,81757101,82742149,82809075,82889271,83326645,83428806,83435022,83664493,83859236,84131664,84505381,84745059,84869440,84962244,85033460,85095332,85321345,85613931,85895886,86019949,86112742,86116705,86266561,86303204,86485650,86574884,86876053,87043494,87076452,87091813,87132542,87230686,87534606,88098805,88329680,88494145,88515534,88564801,88565355,88611229,88679053,88867174,89116956,89187204,89357493,89387521,89758933,90083629,90361893,90590977,90718309,90835726,90859873,90880119,90944749,90960294,91047512,91060004,91260373,91331235,91526869,91638014,91688696,91758981,91769160,92036005,92099966,92145877,92251360,92286709,92427745,92846101,93125677,93272773,93339302,93340405,93342693,93394254,93456920,93600805,93850309,94029421,94058660,94199235,94386050,94448964,94469712,94547893,94648122,94717101,94849446,94900405,95329153,95333646,95478120,95587597,95607613,95656206,95703494,95794724,95859380,96163844,96174382,96581173,97026008,97132760,97419984,97510846,97626621,97887104,98047213,98389345,98645710,98810734,98943301,98966564,99084253,99370890,99378370,99468277,99481861,99488989,99623629,99655395,99729381,99776461,99991974,...,380091659509644736750576302758786285207816097268189102576664004440847069909570393522212317269240194259208654424604292382417941803433427091677551131759083758009492390745968857370004473055142439141838352734814177179524334614633203506258929932183327480210114485801738751334550238616859511288795906440031192688152876516870008604133976861212294305862549451615610801060043585209483424977231737262833486975056337693640355399065345193810811677871494821843642618097859401789865153264259610446467380440324491750089710027100793363808308342794804439030578349648068926891279269861171039199361841289299863089707713951580539161327551081273002037761003281505273009309335607836307553775353111512330546444539935599438684173473956925337689215990157595867289706095524938892412092746464312277451987442054024972016918960601052119089506603414951300020983982086893468750424957139490368339095533731210496255715831277045316030484669447970980230913149363307299678619185840197356075650480349627984239218166674749802799134872604979606608785997129936123407180286243797503695362521610602497568948436520139696615842431107313264393183174803884613735429528843740092592576763018280577532558625827856589344406088557291927513597542740448647421213028055345052139505771216638525696541500367275691523140992481801529798210341708488903563699050664915958744352453762119245073840739111161883100312690519053206983210142570126262697549409649722685344829066647996956629800464530314092245083649110420641654953746636568081046692620494648143909634818814041570289985532893238736122934794613212670357659798221950869431591831672268029815655720034263647745564774550129580596301296339262597834060016761709341721787622815454762480981890153913888927650925353234080432680730600651809213754827983428679763703538355243425022606153998539684395700660033443243961362649258660313623863803614735366908863743585405502920932239124511365956831867921987188467685020840378511698716731900078402406956525117620860664453422704147258108321545706270141467362481117172474580601192790642483757528149277786894485912486655012897412605741319817266568816211751331252220972896060759454088262323332602648023603966018968201556307690554311013748344834876105623551993353992345105423763979600992466950286227018821325224823490703036320206449558442509585704628830803363865910267425952392153884235439952745586229180730088519741612297192683503123594351463195067533456026338762253388236982342934360991474100936085967522919721789650231557793669776200969183638168584839625268690294}
15636  4509077288454952272218578351920652725779656133919023582570530791: {109403,156290,187548,265523,452603,812188,825899,1043123,1374472,1546281,1651586,1692443,1934524,2154083,2295993,2522099,2581466,2733325,2871688,2980499,3041483,3230649,3279990,3322778,3437099,3498656,3619432,3904750,3935988,4043099,4071861,4246178,4254443,4543228,4685700,4706003,4856123,4998080,5155763,5165978,5305283,5335163,5349506,5484443,5603723,5622840,5693099,5859208,5899226,5997696,6227193,6227843,6325695,6375923,6591609,6730499,6747408,6818963,7025099,7176866,7377563,7413325,7553363,7590834,7597672,7722266,7903778,7912749,8486099,8547381,8614108,8837512,8895990,9286165,9295523,9489056,9783899,9828232,9942201,10609178,10675188,10984605,11008883,11056761,11065192,11143398,11159005,11186524,11263403,11432723,11560341,11716912,11918908,11995043,12191099,12216866,12414683,12448341,12558805,12609899,12665603,12794248,12943643,13026899,13181526,13219129,13265950,13390806,13524923,13772963,13778565,13989506,13992899,14071449,14184923,14393529,14403899,14595083,14697136,14758643,14836924,15070566,15221786,15814763,15895499,15919140,16029899,16217723,16303045,16534278,16651324,16751725,16795778,16980328,16980416,17150963,17239105,17375068,17495099,17547923,17706203,17941150,17969363,18493283,18530978,18884470,19102869,19102968,19179388,19434088,19563654,19883318,20102070,20168968,20251778,20301803,20421709,20423066,20429483,20684243,20686926,20988899,21039563,21081093,21115499,21442208,21490839,21529380,21820763,21863349,21870899,21891513,22125832,22128026,22196003,22361605,22486269,22544603,22661364,22690089,22766428,22792643,22916363,22964672,23310923,23449405,23523405,23590792,23972099,24093899,24122484,24322946,24336899,24409643,24540373,24627443,24891561,25091632,25468283,25494746,25778099,25825643,25835256,25849403,25994786,26061325,26161178,26181203,26252099,26324668,26539641,26675963,26678908,26825306,26833926,27120563,27230181,27306899,27469523,27535161,27724283,28070123,28139286,28214632,28228086,28230899,28404740,28414163,28574099,28639778,28847363,29049062,29064663,29173870,29322803,29427592,29622146,29973563,29995883,30329723,30451605,30639683,30772043,31101683,31177581,31273590,31302229,31516643,31606888,31711405,31732826,31741461,31894178,31945150,31950323,32402243,32481712,32552099,32594843,32656924,33056872,33106041,33295499,33298312,33358496,33499150,33648692,33820499,34085688,34236899,34297178,34399324,34485203,34504552,34547099,34691243,34752899,35008644,35060099,35121323,35223203,35249306,35557749,36134524,36310763,36435993,36541926,36727403,36904883,36911966,37014861,37172188,37188981,37316483,37318893,37450778,37460601,37472305,37528308,37898363,38053686,38113672,38129099,38334180,38346399,38549123,38700899,38729805,38757683,38817621,38833768,38946443,39040523,39452099,39732805,39822899,40198980,40318403,40336643,40432693,40511752,40546778,40578200,40772003,40826099,40889792,41061205,41131283,41238443,41311792,41363099,41498660,41529862,41892899,41921186,42321628,42622523,42708443,42725603,42811283,42877881,42878912,42931165,43142248,43270499,43687989,43735586,43858312,43973243,44044701,44138483,44237243,44384843,44390269,44433899,44482883,44485466,44717470,44726723,44812168,44933666,44952683,44966766,45000899,45146605,45161099,45352283,45399899,45575721,45650475,45826178,45886045,45903323,45918923,46001016,46136483,46475766,46565978,46566899,46688723,46915763,46976003,47429992,47541899,47586083,47679366,47688899,47881821,47888546,48069560,48079324,48180866,48238776,48340499,48380008,48411899,48535029,48624899,48693840,49003763,49087163,49142603,49184099,49273446,49340601,49417883,49595099,49798392,49865099,50224523,50237723,50264099,50413689,50425948,50434763,50552123,51040499,51078563,51129203,51167099,51267803,51501146,51517398,51603899,51643778,51751143,51909899,51940096,51946283,51982532,52006763,52200445,52406152,52440405,52496546,52623899,52714165,52731380,53004323,53027099,53230643,53309099,53358741,53398283,53608043,53660964,53771603,53776933,53822728,54078255,54084988,54101929,54156803,54175926,54268623,54314243,54427509,54459563,54674603,54780570,54795899,54896099,54945899,55015283,55063254,55240499,55337099,55472488,55480499,55640843,55761899,55936432,56009003,56023191,56063123,56407586,56502923,56503958,56761150,56840363,56963603,57077003,57094106,57244163,57314723,57322523,57430883,57453899,57478309,57590483,57683472,57703849,57760990,57768563,57841403,57894405,58131683,58382099,58415099,58432608,58451833,58493483,58499963,58512899,58557923,58777163,58813763,58868123,58945499,58956921,58974899,58992443,59050403,59101883,59186243,59246963,59283800,59401346,59465992,59561123,59581043,59654603,59668765,59726363,59810099,59877899,59938178,60095917,60143003,60150899,60197603,60246899,60276563,60309323,60362483,60383243,60396923,60402952,60473099,60495443,60514283,60550569,60605978,60618443,60648508,60730499,60747803,60755099,60795083,60834899,60860003,60901163,60940499,60960323,60990803,61012883,61047683,61048763,61063043,61065899,61090499,61100099,61103963,61106963,61107899,61110923,61116899,61117403,61117643,61270178,61346005,61572712,61754032,61973565,62220441,62271388,62406549,62466404,62640534,62928486,63207688,63256998,63277656,63308121,63371426,63414670,63599365,63882100,63890978,63900813,64378875,64469433,64495150,64537178,64622701,64666101,64893906,65495548,65736684,65937261,66003208,66105136,66327386,66588613,66694275,66777148,66899241,67165288,67525645,67588826,67724605,67735324,67953321,68113380,68463266,68557672,68670800,68884165,69070573,69269301,69313188,69326524,69473286,69484648,69700226,69960988,70068506,70477053,70679426,70684537,70910524,71035405,71108649,71140560,71187363,71602518,71705661,72028552,72654272,72729626,73615206,73643368,74056924,74104168,74253609,74260760,74368278,74809045,74907481,75088346,75305950,75560949,75883264,76080741,76097604,76246106,76319238,76362481,76658520,76736829,76749325,76824190,77127381,77254650,77288470,77394180,77552008,78170229,78339565,78406178,78423693,78722524,79156072,79208389,79666573,79964546,80033130,80227609,80298015,80528488,80623778,80719940,81030774,81032121,81269526,81670408,81736056,81769088,81774805,82111870,82223565,82404960,82434070,82515700,82553792,82582792,82660998,82677146,82713628,82848789,83314778,83367189,83543355,83721832,83931868,84235708,84782426,84897757,84991165,85242486,85368672,85402778,85505666,85566253,85651216,85851310,86240835,86526626,87031706,87246009,87258268,87356008,87637150,87705136,87898624,87919286,88035592,88164093,88205005,88328066,88488328,88515661,88923129,89050581,89112912,89237720,89285133,89393032,89405978,89770854,89986586,90118045,90274946,90367140,90466466,90522472,90594549,90752666,90847324,91065081,91221801,91590405,91790978,91879209,91953063,91990224,92099190,92189028,92705580,92744533,92746164,92873016,92905641,92988445,93011702,93087266,93216988,93270146,93451528,93555805,94007478,94187061,94688668,95126590,95592875,95620597,95733781,95921512,96039756,96204506,96357618,96391616,96431905,96635426,96863928,97010365,97232666,97319548,97610428,97696432,97831405,97975717,98129766,98130613,98239136,98275509,98405950,98488706,98534244,98668278,98736026,98761593,98877445,98885952,98920884,99018840,99040041,99145346,99456375,99549369,99631778,99638524,99712346,...,570137489264467105125864454138179427811724145902283653864996006661270604864355590283318475903860291388812981636906438573626912705150140637516326697638625637014238586118953286055006709582713658712757529102221265769286501921949805259388394898274991220315171728702608127001825357925289266933193859660046789032229314775305012906200965291818441458793824177423416201590065377814225137465847605894250230462584506540460533098598017790716217516807242232765463927146789102684797729896389415669701070660486737625134565040651190045712462514192206658545867524472103390336918904791756558799042761933949794634561570927370808741991326621909503056641504922257909513964003411754461330663029667268495819666809903399158026260210935388006533823985236393800934559143287408338618139119696468416177981163081037458025378440901578178634259905122426950031475973130340203125637435709235552508643300596815744383573746915567974045727004171956470346369724044960949517928778760296034113475720524441976358827250012124704198702308907469409913178995694904185110770429365696255543043782415903746353422654780209544923763646660969896589774762205826920603144293265610138888865144527420866298837938741784884016609132835937891270396314110672971131819542083017578209258656824957788544812250550913537284711488722702294697315512562733355345548575997373938116528680643178867610761108666742824650469035778579810474815213855189394046324114474584028017243599971995434944700696795471138367625473665630962482430619954852121570038930741972215864452228221062355434978299339858104184402191919819005536489697332926304147387747508402044723483580051395471618347161825194370894451944508893896751090025142564012582681434223182143721472835230870833391476388029851120649021095900977713820632241975143019645555307532865137533909230997809526593550990050164865942043973887990470435795705422103050363295615378108254381398358686767048935247801882980782701527531260567767548075097850117603610434787676431290996680134056220887162482318559405212201043721675758711870901789185963725636292223916680341728868729982519346118908611979725899853224317626996878331459344091139181132393484998903972035405949028452302334461535831466520622517252314158435327990030988517658135645969401488700425429340528231987837235236054554480309674337663764378556943246205045798865401138928588230826353159929118379343771095132779612418445789025254685391527194792601300184039508143380082355473514401541487211151404128951284379582684475347336690504664301453775457252877259437903035441}
15637  4529047552277416333952232805282152955338842814199156842496894599: {234435,250064,281322,1015235,1202663,1218282,1718090,2061708,2418155,2477379,2512727,2901786,3061324,3167003,3261863,3449147,3589610,3872199,4307532,4373320,4524290,4664699,4919985,4984167,5039123,5126807,5247984,5429148,5679035,5837018,5857125,5903982,6247600,6369267,6647963,6814842,7028550,7324010,7370759,7497120,7732823,7748967,7894106,7996928,8024259,8302924,8305739,8434260,8599703,8709779,8788812,8848839,8996544,9017378,9497090,9682043,9801707,10121112,10252298,10550332,10765299,10767635,10953443,11046890,11110679,11194967,11386251,11396508,11466983,11583399,11855667,11861320,12285290,12859994,12921162,13256268,13343985,13831490,13983155,14055866,14233584,14646140,14739626,14742348,14757899,14857787,14857864,14898635,15413788,15913767,15992810,16012782,16134683,16597788,16609346,16715097,16768739,16779786,17004827,17441639,17575368,17647847,17854408,17857643,17878362,18325299,18371420,18546155,18761932,19191372,19360103,19579547,19600898,19772289,19796423,19898925,20086209,20094088,20641943,20787722,20814155,20871563,20984259,21225410,21225520,21454082,21718835,21955178,22045704,22218506,22255386,22605849,22669463,22785659,22832679,23603003,23878710,23974235,24292610,24687803,24801417,24974906,24976986,25193667,25211210,25470492,25470624,25585547,25749143,26062602,26084872,26093339,26384579,26802760,26911725,27582568,27656027,27657290,27796467,27806234,28108124,28326705,28377866,28421498,28458035,28654452,28705840,28707146,28741883,28753799,28769082,28924763,29136023,29151132,29188684,29345481,29488490,29824977,29981692,30153105,30191483,30196163,30215152,30253452,30373499,30377667,30634599,30795482,31030389,31211354,31364540,31533863,31568147,32163312,32294070,32761859,32905835,33134618,33188748,33192039,33348635,33349463,33411074,33449387,33769703,33926003,33979547,33992046,34149642,34447008,34749299,35268290,35386188,35417939,35425178,35447783,35505925,35778568,36147818,36183726,36306908,36337379,36484419,36713548,36745559,36784490,37519048,37637448,37749467,37932842,38025623,38242119,38376023,38560346,38752884,38992179,39210647,39241767,39487002,39508547,39508610,40018362,40237959,40250889,40602140,40821155,41321090,41501243,41570108,41622890,41698120,41938427,42060865,42208929,42277859,42321948,42332507,42342129,42413834,42607110,42959667,42999155,43130690,43298618,43573593,43632443,43636106,43760805,44141388,44374823,44433219,44647499,44650826,44733287,45168155,45447584,45855383,46120163,46465235,46619339,46678192,46768403,46910385,47094887,47410332,47505803,47599239,47642090,47841267,47917725,48194939,48538427,48542210,48581324,48722568,48944378,48985386,49026023,49353148,49585308,49758524,49947468,50037744,50162099,50248725,50473038,50615987,50639690,50722750,50738248,50756906,51077723,51100586,51112240,51128532,51401306,51445767,51598986,51639740,51732263,51756828,51873325,52032743,52364363,52508039,52512314,52512966,52519259,52722659,52852583,52873959,52902035,53423018,53598640,53876123,53927810,54034778,54086378,54201786,54271979,54812889,54822890,54832826,55306727,55358759,55367949,55443146,55758282,55984583,56015210,56176167,56292462,56429018,56676323,57080529,57170508,57501270,57592343,57752807,57841994,57925799,58250652,58395779,58648403,58726268,58769627,58806506,59059067,59287490,59917163,59942402,59955688,59987963,60012059,60086950,60099155,60298470,60475010,60767628,60799067,60820167,60867300,61314983,61334688,61336787,61494026,61600583,61910459,61967688,62247990,62294793,62881779,63024983,63032435,63080147,63482442,63572488,63842428,64318368,64437947,64637987,64713372,64841147,64925120,64978165,65426939,65507690,65603379,65697928,65787468,65914225,66381383,66397856,66647303,66728199,66860618,66972347,67076205,67218252,67278410,67286099,67400499,67450149,67541186,67606235,67858007,68461283,68660138,68689864,68739267,68914547,69001524,69261563,69340610,69713649,69848967,69920540,70078619,70348403,70411283,70462427,70632587,70712843,71144714,71144988,71461607,71519049,71547146,71547952,71832819,71871722,72064106,72104340,72118986,72234568,72259943,72271299,72358164,72364259,72570012,72707627,73040760,73256603,73338023,73417672,73910169,74104750,74332490,74680043,74697588,74944814,75007763,75503690,75557306,75638922,75795827,75810635,75884939,76436507,76741994,76911296,76965890,77031143,77192540,77251719,77276097,77427287,77465667,77839235,77910144,77973798,78033479,78083005,78218903,78441059,78448739,78586547,78609228,78744819,78894266,78940439,79009610,79097070,79207163,79407578,79515923,79852625,79918547,79927703,80300219,80491446,80734092,80976323,81099623,81127482,81263889,81448547,81560666,81578858,81770087,81869435,82170855,82504010,82530818,82594881,82631420,82960588,83208732,83471435,83520712,83904648,83931323,83956610,84342664,84370208,84410828,84465287,84611379,84669155,84755937,84889706,85126379,85141725,85181363,85201084,85212539,85305338,85484378,85604423,85641159,85697090,85838500,85959244,86031203,86221468,86525208,86641485,86658155,86855810,87451235,87574154,87648912,87730778,87916348,88638155,88818023,88878746,88925700,89031818,89102019,89198988,89207447,89708387,89907267,90035690,90449063,90568667,90602843,90604428,90817840,90908967,90972762,91151207,91254059,91905267,92054210,92215979,92359068,92417584,92498329,92571155,92630210,92631048,92825950,93407082,93476327,93699606,93960801,93961754,93969404,94392729,94811532,94854080,94885497,94916484,95057139,95122005,95470024,95589962,95607548,95823150,95832347,95836467,96139943,96742725,96805767,96940010,97216859,97333607,97340859,97972034,98153608,98197763,98243322,98403155,98605026,98748227,98823626,98876219,98934362,98945090,99004812,99122618,99157704,99380843,99491079,99789479,...,760183319019289473501152605517572570415632194536378205153328008881694139819140787044424634538480388518417308849208584764835883606866854183355102263518167516018984781491937714740008946110284878283676705469628354359048669229266407012517859864366654960420228971603477502669100477233719022577591812880062385376305753033740017208267953722424588611725098903231221602120087170418966849954463474525666973950112675387280710798130690387621623355742989643687285236195718803579730306528519220892934760880648983500179420054201586727616616685589608878061156699296137853782558539722342078398723682578599726179415427903161078322655102162546004075522006563010546018618671215672615107550706223024661092889079871198877368346947913850675378431980315191734579412191049877784824185492928624554903974884108049944033837921202104238179013206829902600041967964173786937500849914278980736678191067462420992511431662554090632060969338895941960461826298726614599357238371680394712151300960699255968478436333349499605598269745209959213217571994259872246814360572487595007390725043221204995137896873040279393231684862214626528786366349607769227470859057687480185185153526036561155065117251655713178688812177114583855027195085480897294842426056110690104279011542433277051393083000734551383046281984963603059596420683416977807127398101329831917488704907524238490147681478222323766200625381038106413966420285140252525395098819299445370689658133295993913259600929060628184490167298220841283309907493273136162093385240989296287819269637628083140579971065786477472245869589226425340715319596443901738863183663344536059631311440068527295491129549100259161192602592678525195668120033523418683443575245630909524961963780307827777855301850706468160865361461201303618427509655966857359527407076710486850045212307997079368791401320066886487922725298517320627247727607229470733817727487170811005841864478249022731913663735843974376935370041680757023397433463800156804813913050235241721328906845408294516216643091412540282934724962234344949161202385581284967515056298555573788971824973310025794825211482639634533137632423502662504441945792121518908176524646665205296047207932037936403112615381108622027496689669752211247103986707984690210847527959201984933900572454037642650449646981406072640412899116885019171409257661606727731820534851904784307768470879905491172458361460177039483224594385367006247188702926390135066912052677524506776473964685868721982948201872171935045839443579300463115587339552401938367276337169679250537380588}
15638  4549105565472613692071743202364767910980069207874579612790913188: {218806,296761,312580,375096,421983,483817,531046,577237,905206,1229161,1507477,1624376,1651798,1827423,1969897,2086246,2577135,2748944,3072361,3092562,3255097,3303172,3384886,3826655,3869048,4254997,4308166,4352679,4591986,4706617,5044198,5066617,5162932,5335861,5384415,5466650,5604457,5743376,5783161,5960998,6050677,6082966,6406357,6461298,6559980,6645556,6672361,6786435,6874198,6997312,7238864,7554361,7809500,7871976,8086198,8143722,8254777,8492356,8508886,8690197,8755527,8855973,9086456,9123817,9371400,9412006,9712246,9996160,10222263,10311526,10328377,10331956,10378655,10542825,10584661,10610566,10670326,10699012,10968886,10986015,11180137,11207446,11245680,11386198,11434261,11687737,11718416,11798452,11841159,11995392,12024697,12454386,12455686,12651390,12695161,12751846,13000631,13183218,13187915,13361017,13460998,13494816,13526067,13637926,14050198,14245635,14353732,14755126,14760661,14826650,15106726,15181668,15195344,15378447,15444532,15622607,15807556,15816937,15825498,16570335,16972198,17094762,17228216,17338837,17582327,17675024,17735017,17791980,17814037,17971861,18307675,18427935,18521977,18572330,18591046,18600277,18978112,19267235,19289991,19381743,19567798,19656464,19884402,20747235,21067861,21083799,21218356,21350376,21597817,21969210,22017766,22049257,22109439,22113522,22130384,22286796,22318010,22373048,22526806,22572661,22795897,22824263,22865446,22964275,23120682,23433824,23452415,23837816,23989215,23990086,24019173,24134747,24382198,24413161,24433732,24829366,24896682,24914019,25117610,25169679,25219798,25280617,25331206,25588496,25853161,25887286,26053798,26363052,26438258,26531900,26703337,26781612,26817543,27049846,27403897,27545926,27557130,27979012,27985798,28142898,28369846,28787058,28807798,29002259,29123797,29190166,29394272,29401347,29517286,29673848,29799157,30000361,30141132,30443572,30798697,31128277,31181583,31193977,31306247,31456057,31629526,31651861,31790998,31838115,31838280,32059798,32181123,32435446,32492857,32606090,32829167,32932767,33068556,33258361,33302648,33327759,33383079,33503450,33591556,33960656,33960832,34301926,34478210,34511161,34634857,34750136,34990198,35095846,35126761,35135155,35249017,35412406,35431861,35818065,35882300,35916277,35938726,36438915,36485855,36515317,36986566,37061956,37107157,37462359,37465479,37477115,37768940,37816815,37923637,38096761,38205738,38205936,38269237,38358776,38383861,38498197,38868176,39065557,39093903,39127308,39205675,39625717,39681337,39766636,39958357,40068661,40204140,40337936,40343161,40503556,40603606,40843418,40846132,40858966,41262997,41368486,41373852,41485935,41709351,41977798,42079126,42162186,42230998,42566799,42632247,42732661,42835477,42884416,42981678,43058760,43060719,43153623,43597417,43641526,43726698,43741798,43783026,44145877,44232735,44251664,44256052,44392006,44395967,44723210,44972538,45089206,45322728,45380178,45383635,45532856,45585286,45832726,45833017,45891935,45926761,45929344,46193223,46621846,46711957,46817031,46898810,46938937,47046810,47181584,47387497,47944198,48046837,48187798,48244968,48441105,48645892,48673798,48819286,48942697,49026361,49080746,49254886,49701927,49725877,49783122,50116611,50167417,50183264,50246761,50561257,50716777,50752675,50936566,50988069,50989492,51100537,51224463,51556198,51588661,51651286,51670512,51698806,51962635,51989572,52028437,52122650,52322356,52362406,52461227,52504198,52649336,52668661,52902435,52911337,53079282,53116537,53137767,53184361,53251897,53351926,53357816,53650612,53667852,53781817,54167161,54221727,54241126,54275589,54324661,54460362,54613798,54695317,54939046,55070322,55176735,55448566,55625927,55661161,55883497,56074261,56140246,56278572,56429264,56456172,56461798,56599861,56802037,56809480,56828326,56899263,56975161,57144757,57148198,57168697,57263737,57279556,57287317,57334261,57485687,57694726,57840519,57853417,57961237,58098124,58129326,58150777,58347740,58512361,58570357,58645606,58665577,58832437,58855184,59010997,59114677,59230503,59244292,59262915,59265337,59346517,59472661,59518777,59579257,59739637,59904661,59947126,59991766,60027543,60103631,60305017,60379861,60400597,60451177,60461077,60528361,60556117,60659446,60724597,60726655,60762217,60776761,60876661,60888757,60903210,60917737,60934261,60975157,61007161,61019797,61057237,61063861,61097557,61119337,61133161,61279366,61544086,61691435,61981635,62198155,62203366,62355162,62434335,62547180,62604458,63033286,63205247,63213776,63422810,63465652,63482922,63620751,63788356,63890300,63900646,63910665,64240463,64549675,64696035,64804486,64947927,64963424,65104198,65189686,65313848,65454159,66113744,66212082,66590998,66596624,66716992,66976239,66998300,67297384,67640998,68171376,68473798,68594356,68798648,68970406,69009104,69079439,69094198,69382486,69505798,70017288,70120198,70242646,70446406,70498612,71115498,71463135,72269048,72621526,72813315,72871986,73080623,73083852,73407835,73416567,73454806,73478079,73799831,73809766,73823932,74029722,74344376,74377962,74632966,74637786,74901556,74921202,74944610,75056616,75709557,75796726,75959535,76084125,76107372,76135359,76227344,76258198,76372283,76650879,76668360,76692798,77098246,77101959,77398479,77401798,77459610,77515366,77635242,77667536,77892886,78081046,78768471,78769449,78904198,79465610,79645798,79803035,80134527,80397960,80636806,80673286,80865386,80891715,81023504,81052167,81093556,81129567,81156400,81302679,81544006,81628859,81652198,81779584,82122410,82234335,82249239,82262566,82476886,82623584,82726198,82997320,83059724,83164719,83536271,83637423,83785798,83842372,84022815,84438693,84495763,84643256,84643527,85245046,85416886,85451206,85622566,85755762,85757824,85862330,85884407,86251905,86284496,86540998,86762991,87375978,87400675,87471172,87716624,87946486,88089402,88209759,88276966,88474486,88527023,88540903,88769686,88780538,88867798,88931235,88965766,88970932,89039111,89434940,89453446,89624336,89867332,89905366,89913603,89933532,90001798,90130425,90293210,90322198,90447705,90665839,90704566,90712515,90799798,91151442,91300950,91652356,91772090,91806646,91837846,92002032,92241039,92272966,92951532,93131956,93133798,93371985,93377446,93831526,93952006,94535903,94814447,94859984,95083798,95172166,95223663,95358732,95377798,95632871,95763642,95777092,96139120,96158648,96361732,96437831,96477552,96490675,96680998,96760016,96823798,97070058,97249798,97387680,98007526,98174326,98261535,98285206,98368198,98546892,98681202,98835766,99190198,99449567,99596784,99730198,...,1140274978528934210251728908276358855623448291804567307729992013322541209728711180566636951807720582777625963273812877147253825410300281275032653395277251274028477172237906572110013419165427317425515058204442531538573003843899610518776789796549982440630343457405216254003650715850578533866387719320093578064458629550610025812401930583636882917587648354846832403180130755628450274931695211788500460925169013080921066197196035581432435033614484465530927854293578205369595459792778831339402141320973475250269130081302380091424925028384413317091735048944206780673837809583513117598085523867899589269123141854741617483982653243819006113283009844515819027928006823508922661326059334536991639333619806798316052520421870776013067647970472787601869118286574816677236278239392936832355962326162074916050756881803156357268519810244853900062951946260680406251274871418471105017286601193631488767147493831135948091454008343912940692739448089921899035857557520592068226951441048883952717654500024249408397404617814938819826357991389808370221540858731392511086087564831807492706845309560419089847527293321939793179549524411653841206288586531220277777730289054841732597675877483569768033218265671875782540792628221345942263639084166035156418517313649915577089624501101827074569422977445404589394631025125466710691097151994747876233057361286357735221522217333485649300938071557159620949630427710378788092648228949168056034487199943990869889401393590942276735250947331261924964861239909704243140077861483944431728904456442124710869956598679716208368804383839638011072979394665852608294775495016804089446967160102790943236694323650388741788903889017787793502180050285128025165362868446364287442945670461741666782952776059702241298042191801955427641264483950286039291110615065730275067818461995619053187101980100329731884087947775980940871591410844206100726591230756216508762796717373534097870495603765961565403055062521135535096150195700235207220869575352862581993360268112441774324964637118810424402087443351517423741803578371927451272584447833360683457737459965038692237817223959451799706448635253993756662918688182278362264786969997807944070811898056904604668923071662933041245034504628316870655980061977035316271291938802977400850858681056463975674470472109108960619348675327528757113886492410091597730802277857176461652706319858236758687542190265559224836891578050509370783054389585202600368079016286760164710947028803082974422302808257902568759165368950694673381009328602907550914505754518875806070882}
15639  4569251710569731803636613983544194111095172198270397558839362353: {328209,390725,468870,500128,562644,796569,1357809,1421329,2030470,2405326,2436564,2477697,3129369,3385417,3436180,3854929,4123416,4128965,4638843,4836310,4954758,5025454,5077329,5631961,5803572,6122648,6334006,6453665,6462249,6523726,6887979,6898294,7179220,7566297,7744398,7950649,8055377,8199975,8306945,8615064,8710897,8746640,8941497,9048580,9124449,9329398,9691947,9761875,9839970,9968334,10078246,10104281,10253614,10311297,10495968,10615445,10858296,10859957,10954849,11358070,11674036,11714250,11807964,12129297,12215583,12495200,12738534,12763329,12914945,13103621,13295926,13373765,13551889,13629684,14027669,14057100,14118009,14568369,14648020,14741518,14748065,14994240,15074689,15465646,15467289,15497934,15788212,15915849,15993856,16005489,16048518,16453329,16605848,16611478,16811169,16830089,16868520,17079297,17199406,17250497,17419558,17577624,17697678,17942165,17993088,18032881,18034756,18511541,18681579,18683529,18770057,18977085,18994180,19127769,19305665,19364086,19576417,19603414,19759445,19774827,20191497,20242224,20456889,20504596,20858089,21075297,21100664,21530598,21535270,21906886,22093780,22132689,22221358,22239975,22331177,22389934,22660089,22772502,22793016,22933966,23166798,23327041,23711334,23722640,23738247,24570580,24754369,25458297,25642143,25719988,25842324,25964617,26512536,26522945,26607761,26687970,27662980,27858495,27886569,27966310,28111732,28401857,28467168,29139817,29292280,29351697,29479252,29484696,29515798,29715574,29715728,29797270,29826603,29966777,30406369,30542165,30827576,31783769,31827534,31985620,32025564,32123281,32269366,32278657,32953815,33026649,33164875,33170283,33195576,33218692,33430194,33477015,33537478,33559572,33563929,33790209,34009654,34298169,34681023,34883278,34973765,35076037,35150736,35295694,35708816,35715286,35756724,35985129,36573297,36650598,36742840,37092310,37244049,37345023,37373489,37384609,37523864,37676415,37829697,37996809,38054465,38382744,38456297,38720206,38830929,39080697,39159094,39193109,39201796,39544578,39592846,39657387,39797850,39841249,39909649,40172418,40188176,40574769,41283886,41318889,41335695,41575444,41628310,41743126,41968518,41978697,41989445,42214347,42450820,42451040,42455897,42554769,42908164,43180587,43211697,43437670,43785249,43910356,44091408,44275929,44437012,44510772,44852875,45199097,45211698,45338926,45447281,45571318,45665358,46068169,46327445,46641577,46688089,46993049,47206006,47211175,47444289,47686497,47757420,47948470,48089697,48552929,48585220,48653169,48909135,49375606,49602834,49708295,49949812,49953972,50255175,50387334,50422420,50629445,50783669,50940984,50941248,51057665,51171094,51452889,51498286,51717315,52125204,52169744,52186678,52485297,52643769,52769158,53005409,53094721,53118609,53605520,53823450,53908089,55165136,55271749,55312054,55314580,55320065,55479849,55592934,55612468,56216248,56570809,56653410,56755732,56842996,56916070,57149617,57308607,57308904,57411680,57414292,57483766,57507598,57538164,57849526,58272046,58302264,58377368,58690962,58885211,58976980,59649954,59963384,60198817,60297281,60306210,60382966,60392326,60430304,60506904,60746998,60755334,60807365,60905409,61138129,61265127,61269198,61288449,61447697,61474229,61590964,62052729,62060778,62308597,62422708,62483269,62501129,62729080,62966697,63067726,63118689,63136294,63235417,63243279,63346497,63393457,63736865,64173077,64326624,64472517,64588140,64986965,65051329,65402945,65462289,65523718,65590047,65612697,65674539,65811670,66269236,66377496,66384078,66588009,66697270,66698926,66806981,66822148,66898774,66966241,66981109,67063265,67084815,67166297,67458807,67539406,67633809,67852006,67959094,67984092,68070267,68299284,68377929,68618497,68670089,68749089,68894016,69311749,69498598,69932769,70348215,70536580,70570215,70772376,70835878,70850356,70895566,71011850,71557136,71599445,71916297,72281697,72295636,72367452,72613816,72622655,72674758,72800689,72934675,72968838,73010697,73099349,73228929,73427096,73491118,73568980,73621119,73882329,74055365,74062849,74674683,74790449,75038096,75200017,75274896,75498934,75865684,75888809,76051246,76353749,76404849,76484238,76752046,77120692,77334297,77476929,77505768,77548209,77882057,77984358,78120377,78183975,78421294,78483534,78543609,78756297,78974004,79017094,79017220,79032001,79332065,79618923,79735445,79820081,79862875,80027889,80036724,80475918,80501778,80908789,81204280,81361689,81642310,81690543,81754937,81920697,82004449,82408569,82437497,82562197,82605483,82642180,83002486,83073257,83140216,83172849,83245780,83396240,83747875,83876854,84121730,84138817,84210369,84417858,84527369,84555718,84643896,84665014,84684258,84692697,84827668,85214220,85242489,85521397,85722297,85742945,85919334,85998310,86261380,86324737,86542089,86560897,86578217,86597236,86672209,86844437,87147186,87193989,87264886,87272212,87521610,87968409,88054469,88123265,88245409,88282776,88749646,88866438,89294998,89301652,89320729,89466574,89920689,89987649,90336310,90787049,90895168,90969431,90989169,91030729,91354815,91629269,91710766,91919049,92240326,92279915,92316129,92667797,92930470,93112609,93150089,93238678,93305049,93356384,93532743,93536806,93626945,93820770,93906687,94189774,94549929,94648729,94820664,95011606,95134215,95193377,95198478,95224383,95284180,95682534,95835450,95845009,95850969,96152521,96389878,97076854,97084420,97162648,97206729,97445136,97656297,97681049,97784529,97888756,97970772,98052046,98706296,99170616,99318123,99517048,99886497,99894936,...,1710412467793401315377593362414538283435172437706850961594988019983811814593066770849955427711580874166438944910719315720880738115450421912548980092915876911042715758356859858165020128748140976138272587306663797307859505765849415778165184694824973660945515186107824381005476073775867800799581578980140367096687944325915038718602895875455324376381472532270248604770196133442675412397542817682750691387753519621381599295794053372148652550421726698296391781440367308054393189689168247009103211981460212875403695121953570137137387542576619975637602573416310171010756714375269676397128285801849383903684712782112426225973979865728509169924514766773728541892010235263383991989089001805487459000429710197474078780632806164019601471955709181402803677429862225015854417359089405248533943489243112374076135322704734535902779715367280850094427919391020609376912307127706657525929901790447233150721240746703922137181012515869411039109172134882848553786336280888102340427161573325929076481750036374112596106926722408229739536987084712555332311288097088766629131347247711239060267964340628634771290939982909689769324286617480761809432879796830416666595433582262598896513816225354652049827398507813673811188942332018913395458626249052734627775970474873365634436751652740611854134466168106884091946537688200066036645727992121814349586041929536602832283326000228473951407107335739431424445641565568182138972343423752084051730799915986304834102090386413415102876420996892887447291859864556364710116792225916647593356684663187066304934898019574312553206575759457016609469091998778912442163242525206134170450740154186414855041485475583112683355833526681690253270075427692037748044302669546431164418505692612500174429164089553361947063287702933141461896725925429058936665922598595412601727692993428579780652970150494597826131921663971411307387116266309151089886846134324763144195076060301146805743405648942348104582593781703302644225293550352810831304363029293872990040402168662661487446955678215636603131165027276135612705367557891176908876671750041025186606189947558038356725835939177699559672952880990634994378032273417543397180454996711916106217847085356907003384607494399561867551756942475305983970092965552974406937908204466101276288021584695963511705708163663440929023012991293135670829738615137396596203416785764692479059479787355138031313285398338837255337367075764056174581584377803900552118524430140247066420543204624461633454212386853853138748053426042010071513992904361326371758631778313709106323}
15640  4589486371752363357300698026543398273843126489545949746753782013: {171919,437612,593522,625160,703305,750192,843966,919279,967634,1062092,1105399,1154474,1384039,1754551,1810412,2458322,2583991,2675791,2767519,3014954,3042271,3045705,3248752,3303596,3498751,3607989,3654846,3680839,3939794,3953431,4044151,4172492,4295225,4315879,4767319,5154270,5357317,5396311,5497888,6144722,6185124,6510194,6606344,6769772,7085791,7254465,7262119,7432137,7438159,7538181,7613911,7653310,7701679,7738096,8401231,8488351,8509994,8616332,8705358,8836111,8974025,9183972,9413234,9501009,9785589,10088396,10133234,10215631,10325864,10347441,10472239,10671722,10768830,10933300,11068471,11208914,11310725,11322919,11486752,11492191,11566322,11616597,11829871,11921996,11998279,12101354,12165932,12250351,12669031,12812714,12922596,13002679,13085911,13119960,13291112,13344722,13572870,13748396,13831759,13994097,13994624,14243599,14407831,14477728,14530117,14592545,14759955,14817151,14898799,14952501,15108722,15117369,15305959,15380421,15619000,15743952,15872959,15953671,16034311,16172396,16287444,16509554,16676839,16984712,17017772,17037105,17235271,17380394,17511054,17552791,17571375,17711119,17711946,18172912,18247634,18310025,18463081,18742800,18824012,18889399,19107801,19424492,19735265,19943889,19992320,20358631,20444526,20623052,20656754,20663912,20757310,20772917,20969479,21045511,21085650,21169322,21221132,21340652,21398024,21877111,21937772,21952279,21972030,22112277,22252231,22360274,22414892,22491360,22543445,22551031,22772396,22868522,23198469,23246901,23375474,23436832,23596904,23682318,23742725,23808079,23990784,24049394,24072777,24100831,24908772,24911372,24917217,25044319,25302780,25390322,25503692,25630745,25799109,25833151,25975639,26001262,26129337,26366436,26375830,26472079,26546517,26683759,26722034,26921996,26974129,26989632,27052134,27275852,27593551,27617225,28009351,28100396,28285111,28491270,28707464,28901359,29037511,29046129,29405121,29510252,29521322,29653300,30049471,30213452,30363336,30383191,30390688,30713225,30756894,30781279,30889064,31245214,31569679,31615112,31633874,31650996,31765159,31895119,32024791,32091257,32149985,32295897,32302905,32604751,32833381,32860329,33140670,33178879,33332037,33584901,33809959,33944396,34158753,34189524,34247431,34275397,34400949,34456432,34495831,34578725,34677674,34750197,34804711,34927759,35139665,35164654,35234119,35350048,35356159,35470034,35567001,35583960,35628074,35943722,36142399,36615350,36849065,36855870,36916471,37043954,37144660,37182092,37200554,37210951,37620199,37910359,37956224,38534470,38579982,38763486,39135596,39221911,39312928,39501991,39768804,39835711,39982025,40031955,41251879,41358799,41494470,41518639,41523365,41730751,41949465,42135722,42167598,42412159,42436712,42700752,42722551,42774031,42825439,43195634,43838479,43938199,43938420,44035532,44098514,44186239,44218878,44227044,44260768,44273697,44573361,44573592,44636020,44695905,44746096,45053612,45145322,45256231,45399439,45494551,45591794,45648526,45730892,45928550,45965791,46241364,46613431,46704799,46867648,46904830,47246959,47675632,47734831,47741301,47978430,47980172,48038346,48170791,48257119,48269494,48343159,48404049,48556999,48684439,48764396,48826322,48867464,49002245,49189217,49435471,49658732,49793364,49828038,49882951,50003479,50145291,50235220,50282191,50306217,50339358,50439596,50439871,50561234,50662412,50674231,51014481,51020911,51080197,51176992,51361759,51436711,51706322,51733639,51774572,51953311,51969305,51989671,52107596,52324917,52467961,52726104,52806079,52876516,52943541,53046991,53063525,53063800,53250679,53406674,53418439,53485039,53563224,53572929,53635086,53635205,53650279,54039511,54099692,54786871,54807794,54817111,54847279,54887945,54975897,55056439,55091852,55114260,55203679,55232911,55262071,55377991,55546265,55634599,55638465,55662751,55774639,55802431,55958024,55971596,56103391,56285796,56704519,56729791,56739692,57003031,57076039,57100231,57267559,57454471,57574116,57615596,57879919,58004518,58030111,58080309,58156039,58197439,58247594,58340071,58380332,58439791,58537711,58595599,58728151,58738641,58746799,58788544,58802694,58838959,58893391,58929319,59017879,59034572,59316867,59347696,59389269,59598314,59617279,59661559,59696775,59873239,60000722,60068719,60093559,60118111,60178231,60225031,60258627,60282264,60304159,60390271,60411079,60431599,60441751,60501151,60548671,60638311,60672151,60731525,60759271,60781519,60830911,60887144,60930559,61060591,61064191,61067719,61077871,61084279,61135759,61138711,61148431,61152391,61597394,61925829,62256554,62363166,62387954,62437265,62442465,62612494,62614689,62912114,62952777,63028025,63259052,63303722,63537089,63581996,63676230,63676560,64119596,64248709,64362246,64870892,64985714,65156505,65212180,65658334,65865534,66137112,66516722,66605296,66655518,66766158,67006900,67183112,67817547,67921312,67921664,68008389,68356977,68498037,68603852,68956420,69022322,69143225,69269714,69500272,69515585,69756137,69980396,70191692,70253522,70270310,70498034,70809009,70824812,70863722,70944665,71053745,71636130,71764600,71767865,71832554,71877452,71922705,72747689,72877830,72971710,73030634,73721225,73973132,74063409,74123912,74214314,74404251,74924718,74930958,74954230,75537880,75581001,75633630,75847274,76193522,76411476,76411872,76538474,76717552,76756641,76767722,76988705,76996394,77247429,77736352,78028385,78131114,78187806,78254616,78280017,78411350,79153737,79251434,79362674,79533272,79916714,80137322,80408280,80675872,80686322,80735175,81007112,81207212,81639337,81686836,81692264,81717932,82525994,82736972,82747704,82836545,82968081,82971870,83389401,83418702,83527685,83955596,84158252,84324372,84461996,84506609,84980115,85017317,85133598,85264494,85374105,85465322,85670954,85768832,85963356,86117520,86121438,86225649,86261397,86307246,86368009,86774289,87077417,87194834,87283052,87408069,87453396,87483596,87566052,88036443,88170725,88291754,88465470,88503328,88512104,88562945,88784012,88791934,89446420,89474931,89945076,90178412,90323057,90369545,90459315,90574449,90588489,90645456,90677477,90760356,90767270,91065712,91120497,91133001,91170572,91665452,91666034,91783870,91853522,91858688,91903797,91961225,92386446,93091167,93243692,93423914,93634062,93797620,93877874,94093620,94363168,94436441,94601589,94704441,94774994,94832105,95888396,96093674,96375596,96400865,96489936,96882210,97291784,97347596,97638572,97885394,98052722,98161492,98285577,98509772,98717505,98771525,99403854,99451754,99566244,99576117,99858629,...,2280549957057868420503457816552717711246896583609134615459984026645082419457422361133273903615441165555251926547625754294507650820600562550065306790554502548056954344475813144220026838330854634851030116408885063077146007687799221037553579593099964881260686914810432508007301431701157067732775438640187156128917259101220051624803861167273765835175296709693664806360261511256900549863390423577000921850338026161842132394392071162864870067228968931061855708587156410739190919585557662678804282641946950500538260162604760182849850056768826634183470097888413561347675619167026235196171047735799178538246283709483234967965306487638012226566019689031638055856013647017845322652118669073983278667239613596632105040843741552026135295940945575203738236573149633354472556478785873664711924652324149832101513763606312714537039620489707800125903892521360812502549742836942210034573202387262977534294987662271896182908016687825881385478896179843798071715115041184136453902882097767905435309000048498816794809235629877639652715982779616740443081717462785022172175129663614985413690619120838179695054586643879586359099048823307682412577173062440555555460578109683465195351754967139536066436531343751565081585256442691884527278168332070312837034627299831154179249002203654149138845954890809178789262050250933421382194303989495752466114722572715470443044434666971298601876143114319241899260855420757576185296457898336112068974399887981739778802787181884553470501894662523849929722479819408486280155722967888863457808912884249421739913197359432416737608767679276022145958789331705216589550990033608178893934320205581886473388647300777483577807778035575587004360100570256050330725736892728574885891340923483333565905552119404482596084383603910855282528967900572078582221230131460550135636923991238106374203960200659463768175895551961881743182821688412201453182461512433017525593434747068195740991207531923130806110125042271070192300391400470414441739150705725163986720536224883548649929274237620848804174886703034847483607156743854902545168895666721366915474919930077384475634447918903599412897270507987513325837376364556724529573939995615888141623796113809209337846143325866082490069009256633741311960123954070632542583877605954801701717362112927951348940944218217921238697350655057514227772984820183195461604555714352923305412639716473517375084380531118449673783156101018741566108779170405200736158032573520329421894057606165948844605616515805137518330737901389346762018657205815101829011509037751612141764}
15641  4609809934865604871112598907043083023618663259355135762735231028: {15641,547015,656418,781450,890283,937740,1000256,1125288,1265949,1327615,1451451,1593138,1731711,1889899,2263015,2715618,2842658,3687483,3948571,4060940,4129495,4510423,4522431,4810652,4873128,4955394,4976719,5215615,5482269,5780551,5909691,6099991,6258738,6770834,6872360,7709858,7731405,8056411,8246832,8257930,8462215,9035131,9217083,9277686,9519991,9672620,9765291,9909516,10050908,10154658,10446799,10770415,10861351,11263922,11389711,11479965,11607144,11629723,11941423,12137599,12151579,12245296,12610495,12668012,12764991,12907330,12924498,13047452,13058037,13105303,13259431,13513819,13666625,13775958,13796588,14007319,14119851,14358440,14861623,14902495,15132594,15199851,15207415,15214639,15488796,15677983,15901298,16007583,16110754,16153245,16399950,16613890,16813371,17185495,17230128,17349483,17421794,17493280,17592091,17882994,18080923,18097160,18152031,18248898,18658796,18723271,19219071,19298791,19383894,19414543,19523750,19679940,19788199,19936668,20017083,20156492,20208562,20215495,20359305,20386951,20507228,20622594,20647291,20978299,20991936,21113563,21230890,21272215,21716592,21719914,21909698,21928351,22663083,22716140,23347951,23348072,23428500,23530015,23615928,23914183,23964091,24258594,24280615,24431166,24764331,24990400,25119031,25477068,25526658,25604023,25778815,25829890,26070591,26154679,26207242,26266581,26391391,26526415,26567919,26591852,26675815,26721871,26747530,27027931,27103778,27259368,27371451,27422215,27509719,27663223,27732331,28018615,28055338,28114200,28236018,28442779,28465495,29136738,29296040,29483036,29496130,29796631,29988480,30149378,30423019,30495511,30666789,30931292,30934578,30985131,30995868,31135965,31139215,31428571,31576424,31628475,31753983,31831698,31879615,31987712,31998919,32010978,32097036,32437339,32906658,32958045,33211696,33222956,33458023,33540411,33565831,33622338,33652495,33660178,33737040,34094815,34158594,34302783,34398812,34500994,34502911,34839116,35063211,35125495,35155248,35395356,35523477,35884330,35986176,36065762,36069512,36074091,36887815,37023082,37066625,37132123,37363158,37367058,37540114,37593679,37766815,37954170,37988360,38085483,38172571,38255538,38611330,38712631,38728172,38795119,39001893,39152834,39206828,39518890,39549654,39563745,39719191,39950971,40083051,40382994,40462939,40484448,40578201,40913778,41009192,41281423,41716178,42150594,42201328,42430495,42736905,42759031,42842431,43061196,43070540,43459471,43804063,43813772,44187560,44265378,44281983,44442716,44479950,44662354,44779868,45320178,45431719,45441391,45448351,45453199,45545004,45586032,45785179,45867932,46135341,46333596,46430825,46472311,46477615,46654082,46867821,47403931,47422668,47443759,47445280,47450811,47476494,47518111,48894523,48919495,48963271,49141160,49508738,49711005,50175151,50198791,50916594,51284286,51439976,51665023,51684648,51929234,52016511,52406299,52521643,52746981,53025072,53045890,53205051,53215522,53276251,53375940,53396431,53442111,53710423,53716891,53915583,54285991,54923025,55044415,55283805,55286431,55325960,55565931,55703659,55716990,55773138,55795025,55800831,55829671,55932620,56223464,56317015,56599639,56803714,56934336,57163615,57801705,57869973,58145229,58279634,58385191,58584560,58703394,58785223,58958504,58969392,59031596,59320591,59347291,59431148,59431456,59594540,59653206,59933554,59975215,60305179,60508411,60812738,60955495,60963751,61084330,61352623,61616731,61655152,62073415,62241705,62371663,62794025,63024151,63049495,63203583,63251397,63328015,63562363,63567538,63655068,63971240,64051128,64246562,64538732,64557314,64718215,64793451,64858423,64975579,65134495,65216239,65443831,65596591,65713831,65907630,66053298,66095645,66147771,66328317,66329750,66340566,66391152,66437384,66522511,66860388,66954030,67074956,67119144,67127858,67303471,67580418,67624615,67703719,67717983,67770811,67967791,68019308,68387691,68472789,68596338,68679031,68864815,68892825,69362046,69591613,69766556,69854203,69947530,69964495,70152074,70301472,70357245,70591388,70650823,70881223,70924615,71260423,71414359,71417632,71430572,71480731,71513448,71967645,71970258,72019495,72057519,72058459,72404241,72975415,73146594,73239483,73301196,73485680,73545271,73793215,74006251,74184620,74488098,74690046,74742057,74746978,74769218,74997631,75047728,75352830,75509037,75659394,75841851,75993618,76108930,76274671,76363711,76748923,76765488,76912594,77440412,77448091,77457463,77559483,77661858,78161394,78318188,78386218,78402223,78403592,78461311,79073815,79089156,79185692,79314774,79378351,79477495,79595700,79682498,79819298,79948411,80110011,80149495,80320951,80344836,80356411,80376352,80452629,80567911,80959831,81088615,81149538,81353743,81515225,81765739,82211691,82489423,82567772,82637778,82671390,83054059,83150888,83256620,83486252,83758625,83937036,83957394,83978890,84428694,84662479,84901640,84902080,84911794,85109538,85130311,85234711,85336543,85754815,85816328,86195525,86361174,86423394,86875340,86910571,87006777,87125611,87371391,87475495,87570498,87579223,87739615,87820712,88112239,88182816,88204041,88531015,88551858,88874024,88948423,89021544,89231611,89397471,89705750,89846815,90001083,90119023,90398194,90423396,90677852,90754411,90798871,90894562,90981751,91080751,91142636,91330716,91564123,91641271,92042431,92136338,92322523,92352271,92396091,92466415,92654890,93283154,93376178,93384831,93544749,93581931,93888571,93918741,93986098,94127191,94238719,94266799,94332823,94368171,94390159,94412012,94422350,94888578,94955583,94964263,95372994,95514345,95514840,95541391,95896940,96179394,96543369,96619471,97105858,97170440,97306338,97478571,97818270,98487501,98751212,98798301,99039259,99205668,99234151,99406591,99416590,99506863,99775083,99899624,99907944,99983277,...,3420824935586802630755186724829076566870344875413701923189976039967623629186133541699910855423161748332877889821438631441761476230900843825097960185831753822085431516713719716330040257496281952276545174613327594615719011531698831556330369389649947321891030372215648762010952147551735601599163157960280734193375888651830077437205791750910648752762945064540497209540392266885350824795085635365501382775507039242763198591588106744297305100843453396592783562880734616108786379378336494018206423962920425750807390243907140274274775085153239951275205146832620342021513428750539352794256571603698767807369425564224852451947959731457018339849029533547457083784020470526767983978178003610974918000859420394948157561265612328039202943911418362805607354859724450031708834718178810497067886978486224748152270645409469071805559430734561700188855838782041218753824614255413315051859803580894466301442481493407844274362025031738822078218344269765697107572672561776204680854323146651858152963500072748225192213853444816459479073974169425110664622576194177533258262694495422478120535928681257269542581879965819379538648573234961523618865759593660833333190867164525197793027632450709304099654797015627347622377884664037826790917252498105469255551940949746731268873503305481223708268932336213768183893075376400132073291455984243628699172083859073205664566652000456947902814214671478862848891283131136364277944686847504168103461599831972609668204180772826830205752841993785774894583719729112729420233584451833295186713369326374132609869796039148625106413151518914033218938183997557824884326485050412268340901480308372829710082970951166225366711667053363380506540150855384075496088605339092862328837011385225000348858328179106723894126575405866282923793451850858117873331845197190825203455385986857159561305940300989195652263843327942822614774232532618302179773692268649526288390152120602293611486811297884696209165187563406605288450587100705621662608726058587745980080804337325322974893911356431273206262330054552271225410735115782353817753343500082050373212379895116076713451671878355399119345905761981269988756064546835086794360909993423832212435694170713814006769214988799123735103513884950611967940185931105948813875816408932202552576043169391927023411416327326881858046025982586271341659477230274793192406833571529384958118959574710276062626570796677674510674734151528112349163168755607801104237048860280494132841086409248923266908424773707706277496106852084020143027985808722652743517263556627418212646}
15642  4630222787423185507457940895066030004578382956851737922550437900: {203177,343838,359237,639641,875224,919397,950441,984627,1136537,1172175,1187044,1250320,1291397,1406610,1500384,1569641,1687932,1838558,1935268,2031941,2124184,2210798,2308457,2308948,2389707,2768078,2798441,2951141,3073157,3509102,3529577,3620824,3711641,3863141,4073427,4135337,4263987,4316441,4346597,4497257,4767941,4797977,4916644,5076175,5167982,5351582,5397017,5535038,5695337,5784677,5844197,6013315,6029908,6084542,6091410,6111641,6230297,6497504,6607192,6733157,6821657,6997502,7215978,7309692,7361678,7433091,7614917,7878041,7879588,7906862,8088302,8169641,8344984,8576537,8590450,8631758,9388107,9534638,9873797,10074137,10156251,10308540,10331141,10714634,10729637,10792622,10995776,11183141,11493737,11564787,12027941,12090775,12168041,12279977,12289444,12370248,12386895,12563635,12698597,12754277,13020388,13032197,13212688,13419941,13530437,13539544,13668377,13916529,14171582,14508930,14524238,14764697,14819177,14864274,14876318,14928041,15076362,15227822,15231987,15306620,15308057,15335141,15403358,15476192,15835015,15875141,15902057,16117097,16304837,16309315,16705817,16802462,16839077,16895883,16976702,17019988,17078441,17232664,17237657,17245735,17410716,17634437,17672222,17739941,17948050,18367944,18657641,18826468,18892037,18918041,19002018,19360995,19386747,19436441,19571178,19925957,20176792,20266468,20429563,20431262,20651728,20663937,20694882,20944478,20997797,21073817,21124457,21200357,21343444,21537660,21866600,21955397,22105541,22136942,22417828,22579097,22621450,22628777,22645838,22698891,22973504,22984382,23132644,23233194,23323495,23659742,23811497,23843992,23851947,23958041,23996558,24166131,24201641,24202708,24331864,24420197,24500702,24549811,24599925,24710597,24920835,24927641,25047941,25195615,25338062,25625428,25634035,25646441,25845192,25860677,26005358,26132691,26171822,26239920,26263577,26475941,26499497,26582224,26687657,26689444,26711141,26824491,26968937,27145740,27202457,27373347,27496792,27620777,27629371,27663518,27988194,27989248,28312217,28395175,28487198,28769177,28815662,28928357,28955456,29060234,29075841,29185090,29285625,29335877,29519910,29634302,29797598,29808041,29905002,30053957,30217444,30234738,30312843,30611918,30760842,30807941,30933891,31049897,31238000,31247141,31487904,31560823,31596197,31704857,31745918,31846335,31907342,32029637,32068622,32344792,32416997,32574888,32579871,32864547,33019108,33078041,33239815,33268517,33310757,33353678,33374057,33689477,33836057,33969424,34003097,34035544,34074210,34252697,34470542,34521797,34563077,34760788,34768997,34830617,35022108,35105582,35137637,35142750,35259941,35422238,35423892,35442857,35483417,35847017,35866699,35883043,35967641,36148037,36287897,36345824,36387557,36387891,36467141,36495268,36566441,36620050,36646749,36744677,36853795,36926162,36981317,37334117,37470617,37485600,37645541,37648024,37778798,37926031,37935641,38147237,38215602,38289987,38319641,38664115,38744835,38776217,38848984,39310863,39470530,39471077,39526937,39731141,39887778,39897497,39984640,40008041,40081577,40121295,40283141,40655667,40717262,40719557,40845977,40889052,40900037,41246104,41276441,41313508,41327824,41383337,41514620,41525417,41528695,41543141,41545834,41938958,42083007,42091022,42171300,42338644,42354027,42442264,42488357,42681304,42746777,42781097,42796048,42849641,42998515,43105541,43292057,43548895,43611941,43705107,43754222,43875544,43904558,43944060,43945541,43962137,44193641,44224554,44244195,44259497,44341637,44456297,44504462,44505317,44720548,44829784,44830277,44982720,45009979,45023717,45086890,45102062,45168041,45224067,45423017,45502277,45544792,45737044,45879941,45973637,46129157,46396938,46401867,46493802,46728041,46750948,46873664,46940057,47193808,47255141,47270057,47364636,47485450,47610917,47616158,47713817,47747547,47757797,47981568,48016467,48098788,48145554,48193637,48201662,48279941,48365957,48410215,48480197,48579737,48693017,49008535,49195531,49210277,49359987,49403141,49817544,49822744,49834434,50012441,50025797,50088638,50092457,50291237,50433507,50462057,50490267,50605560,50683397,50780644,51007384,51042917,51106457,51195077,51237891,51261490,51446117,51588691,51598218,51632297,51666302,51743141,51751491,51792197,51938597,51951278,51975017,52002524,52258674,52406441,52465541,52571417,52653317,52688297,52732872,52746437,52751660,52815941,52827497,52931141,52944158,53093034,53226917,53271941,53367518,53444068,53826495,53834777,53838175,53843992,53948258,53979264,54098643,54104268,54187877,54240617,54345497,54551704,54675737,54767215,54857897,55187102,55234450,55301957,55398437,55455941,55534623,55541657,55553395,55683077,55701797,55785641,55794917,55923941,55974835,56018702,56044737,56050587,56069477,56114537,56150441,56200792,56310171,56536937,56570222,56639657,56673641,56715941,56841641,56931255,56982540,57014597,57047141,57135977,57239717,57287141,57326441,57334915,57383307,57414928,57489317,57565637,57678617,57782441,57802718,57891941,57916995,57956777,58075022,58092258,58132711,58175141,58278041,58311941,58379141,58419077,58550117,58575941,58608041,58633577,58729251,58765541,58810242,58851557,58857641,58924037,59020504,59030597,59036441,59042644,59208041,59278335,59306600,59324481,59340137,59372441,59399141,59555141,59674757,59850137,59863877,59891141,59913641,59931497,59953637,60082277,60086441,60098942,60111257,60131717,60172037,60250277,60339941,60407657,60426904,60428441,60495641,60515177,60524837,60562757,60574491,60602537,60617477,60652517,60678041,60689177,60726672,60766382,60781376,60795941,60798377,60805637,60845417,60927941,60945257,60947141,60963737,60999941,61017497,61031141,61052441,61089641,61094057,61100441,61106537,61111397,61114217,61120517,61138457,61151141,61158437,61161641,61164197,61167017,61370667,61426450,61513788,61562558,61778128,62490428,62574267,63139358,63225891,63230224,63267748,63301992,63530318,63790238,64049582,64182514,64299970,64591794,64605810,65209502,65666762,65720658,66281340,66357758,66398067,66664074,66719925,66993531,67169802,67619918,67888792,67980267,68317506,68379048,68494862,68550794,68603143,68801898,68912864,68991662,69157450,69355348,69500394,69609422,69765091,69855518,69915775,69981123,70279330,70329308,70468238,70700096,70712318,70940068,71134002,71167920,71214741,71256148,71887444,72284798,72757027,73230700,73698130,73711740,73789495,73832942,74087908,74263107,74288935,74289320,74364184,74401108,74421902,74493175,75089287,75240398,75820718,75912448,76374891,76843123,76926429,77068940,77159964,77526972,77764771,77893851,78271192,78443822,78625856,79003982,79537608,79568835,79671422,79823283,79964050,80063910,80673415,82439071,82503758,82717598,82988940,83037278,83046730,83461502,83575485,83659707,83843695,83898930,84271444,84335196,84824318,84873424,85024135,85205571,85401504,85445102,85548062,85650878,86391268,87208195,87412171,87419451,87676958,87876398,87876840,88055091,88071064,88197028,88239235,88372478,88437756,88454088,88521536,88547394,89146722,89147184,89272040,89288215,89391810,89479809,89492192,89900331,90107224,90290644,90334651,90512462,90798878,90989102,91183588,91219107,91297052,91461784,91626495,91857100,91931582,92482728,92730775,93226862,93409598,93735296,93809660,94448563,94493918,95351264,95351307,95469662,95482602,95956860,95960344,96076692,96341582,96369843,96514238,96538988,96686318,96800515,96808098,96835971,97113998,97321819,97368878,97528792,97652644,97734928,97897735,98004490,98378434,98861445,98870942,98982115,99079947,99317464,99322531,99475243,99494625,99510849,99586728,99656076,99765902,99871447,...,5131237403380203946132780087243614850305517313120552884784964059951435443779200312549866283134742622499316834732157947162642214346351265737646940278747630733128147275070579574495060386244422928414817761919991391923578517297548247334495554084474920982836545558323473143016428221327603402398744736940421101290063832977745116155808687626365973129144417596810745814310588400328026237192628453048252074163260558864144797887382160116445957651265180094889175344321101924163179569067504741027309635944380638626211085365860710411412162627729859926912807720248930513032270143125809029191384857405548151711054138346337278677921939597185527509773544300321185625676030705790151975967267005416462377001289130592422236341898418492058804415867127544208411032289586675047563252077268215745601830467729337122228405968114203607708339146101842550283283758173061828130736921383119972577789705371341699452163722240111766411543037547608233117327516404648545661359008842664307021281484719977787229445250109122337788320780167224689218610961254137665996933864291266299887394041743133717180803893021885904313872819948729069307972859852442285428298639390491249999786300746787796689541448676063956149482195523441021433566826996056740186375878747158203883327911424620096903310254958221835562403398504320652275839613064600198109937183976365443048758125788609808496849978000685421854221322007218294273336924696704546416917030271256252155192399747958914502306271159240245308629262990678662341875579593669094130350376677749942780070053989561198914804694058722937659619727278371049828407275996336737326489727575618402511352220462559244565124456426749338050067500580045070759810226283076113244132908008639293493255517077837500523287492268660085841189863108799424385690177776287176809997767795786237805183078980285739341958910451483793478395764991914233922161348798927453269660538402974289432585228180903440417230216946827044313747781345109907932675880651058432493913089087881618970121206505987984462340867034646909809393495081828406838116102673673530726630015250123075559818569842674115070177507817533098679018858642971904983134096820252630191541364990135748318653541256070721010153822483198685602655270827425917951910278896658923220813724613398303828864064754087890535117124490990322787069038973879407012489215845412189788610250357294077437178439362065414093939856195016511766012101227292168523744753133411701656355573290420741199261629613873384900362637160561559416244160278126030214541978713083979115275895334941127318969}
15643  4650725318614626232752503896262009195401892337519664453603389018: {15643,31282,515757,765821,1094030,1312836,1483805,1562900,1780566,1858661,1875480,2000512,2109915,2233517,2250576,2419085,2531898,2655230,2757837,2886185,2902902,3168221,3186276,3316197,3463422,3779798,4152117,4526030,4666493,5041061,5263653,5319941,5431236,5685316,5781293,5881577,6145805,6817637,7301861,7374966,7537385,7751973,7897142,8027373,8121880,8258990,8302557,9020846,9044862,9126813,9137115,9521213,9621304,9746256,9849485,9910788,9953438,10431230,10496253,10823967,10964538,11042517,11391173,11561102,11819382,11847101,11860293,12132453,12139157,12199982,12346217,12493877,12517476,12729677,12885675,12947637,13261133,13541668,13744720,14009117,14301957,14360957,14973341,15078581,15361805,15419716,15462810,15970877,16071951,16112822,16188933,16275485,16493664,16515860,16924430,17654693,17721701,17980937,18070262,18434166,18555372,19039982,19133275,19345240,19530582,19819032,20101816,20309316,20753477,20790653,20863493,20893598,21257373,21274985,21290381,21313961,21540830,21569237,21722702,21763395,21786357,21829277,22296411,22314477,22527844,22614543,22779422,22841733,22959930,23105037,23214288,23259446,23533085,23688797,23882846,24059693,24275198,24303158,24490592,24508157,25203693,25220990,25333085,25336024,25465053,25529982,25563437,25814660,25848996,26094904,26116074,26210606,26508333,26518862,26679305,26922075,27027638,27057101,27333250,27430517,27551916,27593033,27593176,28014638,28022285,28237997,28239702,28301693,28503027,28616261,28716880,28915805,29356767,29406941,29723246,29781101,29804990,30253385,30265188,30399702,30414830,30429278,30646893,30762941,30977592,31042323,31355966,31416717,31580393,31802596,32015166,32031785,32221508,32306490,32774573,32776997,32799900,32900297,32942021,33205413,33227780,33302117,33361805,33626742,33932175,33968757,33992861,34205741,34370990,34460256,34476573,34698966,34843588,34849791,34986560,35184182,35489613,35765988,35954477,35994837,36090341,36161846,36194320,36304062,36497796,36751053,37136981,37317592,37346141,37394261,37446542,37771805,38007093,38335037,38391101,38438142,38562077,38597582,38767788,38829086,38868041,38886077,39008037,39047500,39226061,39257733,39359880,39427517,39576398,39851693,39873336,40034166,40312984,40417124,40430990,40718610,40773902,40801541,41014456,41245188,41273885,41294582,41495277,41956598,41982291,41983872,42227126,42461780,42544430,42730797,43223493,43433184,43439828,43450985,43590351,43594901,43777635,43819396,43856702,44279865,44392037,44451453,44631461,44696397,44857503,45255053,45326166,45352107,45385421,45432280,45619085,45791141,45848777,45917877,46138061,46141263,46331357,46695902,46696144,46857000,47060030,47113493,47231856,47618877,47732741,47781437,47819837,47828366,47861013,47882717,47928182,48102933,48517188,48561230,48564941,48739253,48862332,49175693,49528662,49980800,50030517,50238062,50787437,50954136,51053316,51111315,51208046,51361193,51557630,51641885,51642941,51659780,51705813,51893275,52141182,52189541,52309358,52414484,52533162,52658373,52714125,52743317,52782782,52873541,52923305,53052830,53108477,53133357,53135838,53183704,53351630,53443742,53495060,53717417,54055862,54109757,54207556,54518736,54742902,54844430,54930075,55019438,55326446,55389243,55464662,55900685,56037230,56069897,56110676,56228400,56472036,56668197,56885558,56930990,57171305,57323403,57743261,58273476,58438685,58592080,58966072,58992260,59205795,59360597,59402693,59593262,59831667,59976960,60123485,60298756,60846038,60991022,61075893,61333578,61790717,61862584,61869156,61934717,61970262,61991736,62271930,62278430,62318751,62499401,62607677,62857142,62908437,63104873,63136533,63152848,63256950,63475805,63507966,63663396,63759230,63975424,63997838,64021956,64194072,64272557,64776233,64874678,64944557,65003155,65068661,65254037,65631333,65813316,65831597,65856837,65916090,65939575,66336831,66423392,66445912,66673157,66756693,66805085,66805877,66916046,67080822,67131662,67178141,67244676,67304990,67320356,67474080,67630335,67653093,68135957,68189630,68317188,68480453,68487293,68605566,68636213,68797624,69001988,69005822,69238217,69595407,69678232,69740703,70106153,70126422,70250990,70310496,70438757,70790712,71046954,71228175,71269757,71283293,71424237,71768660,71972352,72131524,72139024,72148182,72218331,72278441,72302493,72372941,72392837,72819773,73036877,73313837,73366997,73775630,73803305,74046164,74133250,74264246,74726316,74734116,74751651,75001613,75080228,75132957,75187358,75533630,75908340,75976720,76170966,76345142,76511076,76758917,76892235,77062181,77073737,77222660,77397327,77425262,77456344,77499453,77590238,77926917,78003786,78113035,78305668,78388011,78413656,78617513,78843821,79037780,79084685,79099308,79127490,79416237,79438382,79546781,79639551,79649513,79901942,79949861,80029061,80051277,80166102,80765988,80922387,80925878,80968896,81064397,81156402,81480473,81827556,82018384,82025621,82562846,82583513,82780653,82799357,82851675,83432356,83965301,84028053,84111497,84301188,84402656,84498053,84855333,84860990,85159997,85337693,85347677,85473810,85518062,85684862,86122392,86141080,86156573,86694185,86704077,86900237,86902781,86918942,87112533,87138387,87461933,87590681,87608126,87627544,87911635,88215363,88269293,88375120,88530756,88563966,88659221,88675085,88885432,88959900,89070185,89324708,89559736,89806541,89859305,90142793,90148413,90484517,90605501,90638441,90640356,90863438,90882782,90896702,90906398,91090008,91149573,91172064,91188293,91538375,91570358,91735864,92139675,92194061,92270682,92343837,92410397,92533903,92609885,92667192,92861650,92944622,92955230,93001385,93136733,93308164,93735642,94598141,94674461,94709037,94807862,94845336,94887518,94890560,94901622,94952988,95036222,95082797,95200901,95295477,95397581,95657141,95670317,95685357,96074373,96273771,96336175,96410741,96449955,96632237,96887691,96908715,97789046,97814253,97838990,97882661,97926542,97950293,98154797,98282320,98500143,98580987,98994557,99017476,99294461,99369941,99422010,99533597,99536637,99996111,...,6841649871173605261510373449658153133740689750827403846379952079935247258372267083399821710846323496665755779642877262883522952461801687650195920371663507644170863033427439432660080514992563904553090349226655189231438023063397663112660738779299894643782060744431297524021904295103471203198326315920561468386751777303660154874411583501821297505525890129080994419080784533770701649590171270731002765551014078485526397183176213488594610201686906793185567125761469232217572758756672988036412847925840851501614780487814280548549550170306479902550410293665240684043026857501078705588513143207397535614738851128449704903895919462914036679698059067094914167568040941053535967956356007221949836001718840789896315122531224656078405887822836725611214709719448900063417669436357620994135773956972449496304541290818938143611118861469123400377711677564082437507649228510826630103719607161788932602884962986815688548724050063477644156436688539531394215145345123552409361708646293303716305927000145496450384427706889632918958147948338850221329245152388355066516525388990844956241071857362514539085163759931638759077297146469923047237731519187321666666381734329050395586055264901418608199309594031254695244755769328075653581834504996210938511103881899493462537747006610962447416537864672427536367786150752800264146582911968487257398344167718146411329133304000913895805628429342957725697782566262272728555889373695008336206923199663945219336408361545653660411505683987571549789167439458225458840467168903666590373426738652748265219739592078297250212826303037828066437876367995115649768652970100824536681802960616745659420165941902332450733423334106726761013080301710768150992177210678185724657674022770450000697716656358213447788253150811732565847586903701716235746663690394381650406910771973714319122611880601978391304527686655885645229548465065236604359547384537299052576780304241204587222973622595769392418330375126813210576901174201411243325217452117175491960161608674650645949787822712862546412524660109104542450821470231564707635506687000164100746424759790232153426903343756710798238691811523962539977512129093670173588721819986847664424871388341427628013538429977598247470207027769901223935880371862211897627751632817864405105152086338783854046822832654653763716092051965172542683318954460549586384813667143058769916237919149420552125253141593355349021349468303056224698326337511215602208474097720560988265682172818497846533816849547415412554992213704168040286055971617445305487034527113254836425292}
15644  4671317919312429450029850702246667361202439735763601178060920076: {46923,406354,577459,670843,687676,718474,950563,1279282,1600723,1641045,1750448,1838794,1900882,1953625,1969254,2273074,2339443,2344350,2374088,2500640,2582794,2670849,2813220,2982043,3000768,3139282,3375864,3677116,3797847,3870536,3982845,4063882,4166083,4248368,4347163,4354353,4421596,4616914,4617896,4779414,4798603,5068603,5158459,5195133,5536156,5596882,5606659,5669697,5696083,5902282,6146314,6789045,6940459,7018204,7059154,7106645,7241648,7423282,7726282,7908283,8146854,8270674,8418641,8527974,8606683,8632882,8693194,8994514,9214003,9473203,9535882,9595954,9833288,9903763,10152350,10335964,10703164,10794034,11062449,11070076,11269459,11390674,11569354,11688394,11845713,12026630,12059816,12169084,12182820,12197683,12223282,12388485,12460594,12950659,12995008,13214384,13366459,13466314,13531269,13567293,13643314,13995004,14431956,14521123,14619384,14723356,14866182,14930157,15229834,15337243,15646845,15756082,15759176,15813724,15823459,15904243,16176604,16339282,16446807,16689968,16927085,17153074,17180900,17263516,17341653,17504803,17589089,17729073,17821459,18299973,18608059,18686323,18776214,18920683,19069276,19274645,19747594,20148274,20236483,20312502,20543059,20617080,20644825,20662282,20848483,21429268,21459274,21585244,21991552,22169021,22366282,22833041,22987474,23129574,23194215,23985883,24055882,24144029,24169233,24181550,24205123,24336082,24559954,24578888,24740496,24773790,25127270,25386645,25397194,25508554,26040776,26064394,26425376,26503363,26715043,26839882,27060874,27079088,27105393,27336754,27415963,27485659,27651249,27833058,27902323,28159805,28343164,28559973,28796203,29013413,29017860,29048476,29295873,29529394,29610523,29638354,29728548,29752636,29856082,30152724,30455644,30463974,30613240,30616114,30670282,30806716,30952384,31208059,31340397,31535659,31670030,31750282,31804114,32234194,32268325,32311245,32507659,32571883,32584053,32609674,32618630,32652893,33400243,33411634,33604924,33678154,33791766,33953404,34039976,34156882,34169133,34439895,34465328,34475314,34491470,34650883,34712659,34821432,34889169,35268874,35273861,35344444,35479882,35824269,35872723,35887649,35896100,35993323,36412797,36454737,36735888,36829459,37315282,37652936,37784074,37831485,37836082,38004036,38294973,38516563,38573659,38721990,38773494,38872882,39142356,39174111,39315909,39700459,39753245,39778293,39851914,40276885,40307923,40353584,40472083,40532936,40541457,40744243,40859126,40862524,40999875,41122243,41303456,41327874,41389764,41534725,41549923,41888956,41920363,41995594,42021957,42147634,42248914,42359553,42387917,42400714,42686888,42908059,43075320,43112683,43417459,43554485,43669459,43733200,43910794,43969483,44118523,44211082,44273884,44584869,44707485,44821673,44835656,45158194,45191683,45242900,45257554,45291676,45397782,45599553,45622245,45643917,45947008,45968764,46137043,46265288,46322659,46466388,46535741,46646990,46781659,46963243,47008459,47033949,47278243,47319484,47622994,47687984,47703894,47722123,47897659,47916082,47993116,48022749,48072043,48332262,48403282,48405416,48459735,48502963,48663728,48809375,48840394,48968659,49001404,49099622,49177459,49199850,49421194,49793059,49841670,49855282,50034763,50095882,50234203,50391230,50440113,50521405,50549563,50676124,50783059,51128443,51166459,51250856,51268070,51292882,51556485,51595313,51690384,51721354,51948163,52010716,52048449,52129603,52265382,52343644,52479840,52527154,52776273,52837363,52951882,52975459,52998994,53077225,53146459,53164448,53180443,53375314,53378888,53422282,53648659,53648982,53845003,53937874,54129761,54134659,54242769,54291480,54299785,54404914,54456093,54746694,54774245,54938683,54993584,55241554,55258742,55327036,55805923,55976388,55978496,56169813,56624434,56790350,56836459,56861443,56974396,57203659,57322459,57538354,57577483,57631324,57657213,57856714,57896373,57910912,58018843,58120468,58140173,58151682,58243629,58330963,58370180,58571250,58588363,58671754,58703059,58870243,59039820,59049163,59066659,59268604,59364597,59573323,59595196,59616082,59633659,59779459,59810004,59863483,59931523,60051249,60100003,60107914,60185683,60197921,60221323,60301963,60346459,60434888,60452659,60469476,60503059,60625686,60646485,60767659,60812803,60944563,60961843,60968453,61014763,61064659,61077915,61130323,61160853,61163803,61172659,61223836,61521684,61615882,61867782,61941873,62099794,62476000,62494282,62934897,62975808,63121646,63192394,63340689,63409714,63491836,63692670,63814684,63816645,64059274,64137244,64574725,64689584,64833994,65149776,65159742,65518105,65729094,65785053,66038216,66156082,66479630,66537034,66621514,66707356,66748114,66868825,67378954,67672114,67759445,67774301,67938848,67989249,68006194,68071088,68148420,68505394,68611949,68941084,69043594,69126154,69521576,69537994,69661234,70043853,70044216,70138345,70211164,70275274,70285500,70519882,70590045,70844476,70847784,70885714,70966834,71694034,71733398,71742549,71766086,71892273,71935282,72296074,72575794,72691648,72775114,72775782,72841845,72934282,72990536,73132882,73240100,73293498,73489354,73707590,73740325,73852324,73962634,74292993,74668234,74941234,74971200,75291082,75296048,75357093,75373445,75557596,75852062,75871282,76294474,76431204,76579974,76639282,76674101,76812069,77297341,77328230,77336445,77489670,77552434,77697968,77774753,78211773,78364769,78464037,78621726,78799743,78941060,78942154,79053874,79174173,79462282,79579245,79703757,79775556,79794994,79969280,80016082,80027445,80163154,80165613,80242590,80268881,80566282,81083793,81311334,81434524,81439114,81691954,81778104,81800074,82114353,82266645,82449653,82492208,82529157,82552882,82627016,82655648,82766674,82989669,83029240,83050834,83057390,83086282,83091668,83196993,83877916,84055845,84150445,84166014,84182044,84342600,84677288,84708054,84884528,84976714,85328337,85362608,85396485,85493554,85562194,85592096,85699282,85997030,86211082,86252485,86584114,87097790,87223882,87410214,87508444,87751088,87809116,87888120,87891082,87924274,88387282,88449108,88488390,88518994,88683274,88912594,89008924,89010634,89389893,89441096,89659568,89660554,89710825,89965440,90019958,90047434,90164405,90173780,90204124,90336082,90448134,90846034,91004554,91089584,91269057,91474088,91486533,91759882,91947274,92000367,92258314,92557705,92793876,92803734,92955393,92987604,93407895,93417645,93456082,93501896,93747328,93850285,93880114,94285713,94387616,94510282,94540114,94729272,94885425,94970900,95221834,95232316,95261949,95427634,95495094,95515594,95638845,95963136,95996757,96032934,96197576,96291108,96387274,96403324,96528325,96559882,96731914,96820430,96960394,97159474,97312017,97386034,97427993,97882085,98017070,98391062,98420554,98719974,98797225,98806282,98874135,99635088,99645488,99668868,99843997,...,10262474806760407892265560174487229700611034626241105769569928119902870887558400625099732566269485244998633669464315894325284428692702531475293880557495261466256294550141159148990120772488845856829635523839982783847157034595096494668991108168949841965673091116646946286032856442655206804797489473880842202580127665955490232311617375252731946258288835193621491628621176800656052474385256906096504148326521117728289595774764320232891915302530360189778350688642203848326359138135009482054619271888761277252422170731721420822824325255459719853825615440497861026064540286251618058382769714811096303422108276692674557355843879194371055019547088600642371251352061411580303951934534010832924754002578261184844472683796836984117608831734255088416822064579173350095126504154536431491203660935458674244456811936228407215416678292203685100566567516346123656261473842766239945155579410742683398904327444480223532823086075095216466234655032809297091322718017685328614042562969439955574458890500218244675576641560334449378437221922508275331993867728582532599774788083486267434361607786043771808627745639897458138615945719704884570856597278780982499999572601493575593379082897352127912298964391046882042867133653992113480372751757494316407766655822849240193806620509916443671124806797008641304551679226129200396219874367952730886097516251577219616993699956001370843708442644014436588546673849393409092833834060542512504310384799495917829004612542318480490617258525981357324683751159187338188260700753355499885560140107979122397829609388117445875319239454556742099656814551992673474652979455151236805022704440925118489130248912853498676100135001160090141519620452566152226488265816017278586986511034155675001046574984537320171682379726217598848771380355552574353619995535591572475610366157960571478683917820902967586956791529983828467844322697597854906539321076805948578865170456361806880834460433893654088627495562690219815865351761302116864987826178175763237940242413011975968924681734069293819618786990163656813676232205347347061453260030500246151119637139685348230140355015635066197358037717285943809966268193640505260383082729980271496637307082512141442020307644966397371205310541654851835903820557793317846441627449226796607657728129508175781070234248981980645574138077947758814024978431690824379577220500714588154874356878724130828187879712390033023532024202454584337047489506266823403312711146580841482398523259227746769800725274321123118832488320556252060429083957426167958230551790669882254637938}
15645  4692000982079299233103926187477146634088902638948860430637154842: {31286,62564,609531,859595,1031514,1077711,1531642,1918923,2077327,2188060,2625672,2639611,2758191,2851323,2953881,2967610,3125800,3386719,3409611,3516525,3561132,3717322,3750960,3874191,4001024,4040659,4219830,4467034,4501152,4596395,4708923,4838170,5063796,5310460,5515674,5526995,5634127,5772370,5805804,6095823,6287203,6336442,6372552,6632394,6920195,6925371,6926844,7169121,7559596,8304234,8395323,8604127,8772755,8853423,9052060,9083723,9219471,9332986,10082122,10527306,10552339,10588731,10639882,10862472,11134923,11370632,11562586,11589423,11763154,12220281,12291610,12406011,12449219,12731311,12791961,12919955,12949323,13039791,13378955,13491771,13635274,13789279,13837595,14198063,14303823,14393931,14603722,14692883,14749932,14765491,14975263,15074770,15211355,15228525,15503946,15615707,15794284,16054746,16191051,16243760,16517980,16605114,17086011,17354031,17493755,17532591,18039945,18041692,18089724,18253626,18274230,18275279,18334923,18404195,18690891,18978611,19042426,19242608,19492512,19698970,19767155,19806607,19821576,19906876,20199471,20220755,20464971,20862460,20992506,21220547,21476125,21506527,21579395,21647934,21929076,22085034,22299273,22782346,22785679,22844751,23122204,23353979,23634123,23638764,23694202,23720586,23836595,24264906,24278314,24399964,24508923,24692434,24987754,25034952,25394783,25459354,25729611,25771350,25895274,26522266,26659859,26786585,26981555,27083336,27489440,27995851,28018234,28164321,28412879,28603914,28721914,28768591,29422283,29621391,29784979,29946682,30157162,30222411,30468753,30723610,30839432,30925620,30993423,31941754,32143902,32188911,32225644,32377866,32445743,32550970,32946319,32987328,33031720,33549423,33792323,33848860,34352159,34481211,34511819,34694361,35169283,35309386,35428955,35443402,35466319,35961874,36083823,36140524,36272325,36310595,36356203,36504123,36839931,36868332,37110744,37160685,37190795,37351027,37690905,38069555,38079964,38095791,38262831,38266550,38508395,38526139,38690480,38736451,39061164,39096591,39231199,39472763,39638064,40075187,40203632,40259823,40482127,40591311,40618632,40764043,41005131,41506954,41581306,41726986,41749587,41787196,42006155,42354739,42441755,42472463,42514746,42549970,42580762,42627922,43081660,43138474,43445404,43470779,43526790,43572714,43658554,43893779,44180555,44294091,44457531,44592822,44628954,44784123,44844499,44870125,45055688,45229086,45558844,45683466,45695961,45919860,45924171,46005423,46210074,46428576,46518892,46706527,47066170,47377594,47505045,47625423,47706171,47765692,48119386,48220003,48351291,48550396,48606316,48914511,48927945,48981184,49016314,49526623,50117451,50407386,50441980,50517231,50666170,50672048,50687649,50930106,51059964,51078155,51126874,51235323,51629320,51697992,51712971,51737205,51813599,52189808,52232148,52361195,52421212,52880527,52903311,53016666,53025971,53037724,53219823,53358610,53844150,54049487,54055276,54114202,54116803,54666500,54861034,55103832,55186066,55186352,55342355,55668979,55972923,56029276,56044570,56468971,56475994,56479404,56553625,56603386,56614595,56676111,56754123,57006054,57232522,57433760,57460955,57783439,57831610,58082985,58160241,58309323,58329487,58350479,58713534,58813882,59149355,59432459,59446492,59562202,59609980,59777871,59991395,60506770,60530376,60799404,60829660,60831379,60858556,61251755,61288689,61293786,61525882,61955184,61991811,62084646,62333011,62711932,62833434,62993391,63160786,63221451,63345155,63373371,63578831,63601071,63605192,63866719,64030332,64063570,64443016,64612980,65013395,65429555,65549146,65553994,65599800,65613659,65800594,65866191,65884042,66316623,66410826,66455560,66604234,66723610,66832907,67192763,67253484,67737291,67864350,67886331,67937514,67985339,67985722,68096673,68411482,68741980,68920512,68953146,69070483,69158795,69397932,69628879,69687176,69699582,69970485,69973120,70236707,70368364,70979226,71217995,71434491,71531976,71555841,71874123,71908954,71989674,72039155,72180682,72298639,72323692,72388640,72498393,72604923,72608124,72615691,72650585,72962725,72995592,73260591,73502106,73564259,73649433,73799775,73990891,74085755,74092627,74131791,74273962,74493995,74635184,74692282,74762505,74782923,74788522,74893084,75143823,75543610,75586845,76014186,76529795,76670074,76782202,76876284,76902105,76939323,76942283,77124154,77195164,77477531,77535576,77582031,77658172,77736082,77772154,78016074,78073903,78095000,78260959,78398073,78452122,78515466,78719760,78790731,78855034,79152796,79364795,79427823,79498491,79703386,79746672,79768355,80039827,80062971,80068332,80133423,80171555,80473473,80625968,80781787,80834248,80861980,80906811,81374747,81437220,81547804,81603082,81607371,81814159,82028912,82120041,82490376,82547770,82589164,82862331,82888113,82990554,83105483,83384195,83719823,83913196,83964582,83967744,84172879,84454252,84560351,84923560,84936651,85088860,85185525,85461594,85555171,86176355,86307531,86446986,86706451,86785071,86866368,86878139,86879656,86901970,87180702,87189802,87227523,87555270,87638792,87713404,87763955,87856875,88007631,88555595,88559730,88784074,88866127,88902906,89262922,89348131,89355727,89392794,89424123,89715006,89754859,90161871,90510106,90652332,90704214,90770842,90864560,90938529,91004417,91066411,91238170,91550125,91582282,91697554,91835754,92276122,92282526,92315405,92376779,92423823,92662714,92801673,92906591,93149691,93186707,93391804,93392288,93527119,93714000,93741423,94120060,94226986,94446995,94463712,94682469,94788591,95114571,95230319,95237754,95465482,95539005,95562874,95639674,95656732,95722026,95765434,95856364,96088911,96205866,97034376,97122460,97129882,97250991,97478506,97724664,97739613,97895467,98351386,98593641,98676325,99057324,99234123,99553379,99719445,99805551,99932271,99961600,...,15393712210140611838398340261730844550916551939361658654354892179854306331337600937649598849404227867497950504196473841487926643039053797212940820836242892199384441825211738723485181158733268785244453285759974175770735551892644742003486662253424762948509636674970419429049284663982810207196234210821263303870191498933235348467426062879097919387433252790432237442931765200984078711577885359144756222489781676592434393662146480349337872953795540284667526032963305772489538707202514223081928907833141915878633256097582131234236487883189579780738423160746791539096810429377427087574154572216644455133162415039011836033765818791556582529320632900963556877028092117370455927901801016249387131003867391777266709025695255476176413247601382632625233096868760025142689756231804647236805491403188011366685217904342610823125017438305527650849851274519185484392210764149359917733369116114025098356491166720335299234629112642824699351982549213945636984077026527992921063844454159933361688335750327367013364962340501674067655832883762412997990801592873798899662182125229401151542411679065657712941618459846187207923918579557326856284895918171473749999358902240363390068624346028191868448446586570323064300700480988170220559127636241474611649983734273860290709930764874665506687210195512961956827518839193800594329811551929096329146274377365829425490549934002056265562663966021654882820010774090113639250751090813768756465577199243876743506918813477720735925887788972035987025626738781007282391051130033249828340210161968683596744414082176168812978859181835113149485221827989010211979469182726855207534056661387677733695373369280248014150202501740135212279430678849228339732398724025917880479766551233512501569862476805980257523569589326398273157070533328861530429993303387358713415549236940857218025876731354451380435187294975742701766484046396782359808981615208922868297755684542710321251690650840481132941243344035329723798027641953175297481739267263644856910363619517963953387022601103940729428180485245485220514348308021020592179890045750369226679455709528022345210532523452599296037056575928915714949402290460757890574624094970407244955960623768212163030461467449596056807965812482277753855730836689976769662441173840194911486592194262263671605351373472970968361207116921638221037467647536236569365830751071882232311535318086196242281819568585049535298036303681876505571234259400235104969066719871262223597784888841620154701087911481684678248732480834378090643625936139251937345827686004823381956907}
15646  4712774901175392291526191644405686216945660785992655240904813142: {46929,78205,93846,265693,812708,1154918,1341686,1375352,1436948,1547271,1901126,2297463,2309053,2558564,2676829,2735075,2768593,3201446,3282090,3500896,3591229,3677588,3801764,3907250,3938508,4045729,4136413,4451415,4546148,4678886,4688700,4748176,4859293,5001280,5165588,5308753,5341698,5488033,5575983,5626440,5845729,5964086,6001536,6278564,6329745,6380113,6638075,6700551,6751728,7257255,7354232,7595694,7704733,7741072,7965690,8127764,8273511,8332166,8491729,8496736,8578813,8658555,8694326,8708706,8843192,8926429,9233828,9235792,9449495,9504663,9558828,9597206,9948591,9949303,10134013,10137206,10316918,10390266,11072312,11193764,11213318,11315075,11339394,11392166,11804564,12292628,12456351,12757729,13091233,13578090,13672093,13880918,13919953,13999479,14036408,14118308,14213290,14331613,14483296,14823229,14846564,14904913,15123183,15452564,15790959,15816566,15959823,15960253,16040929,16121533,16293708,16541348,16837282,17055948,17213366,17265764,17343879,17386388,17639329,17644731,17989028,18113233,18349213,18428006,18437415,18897313,18946406,19071764,19191908,19666576,19742855,19807526,20304700,20443873,20452911,20647475,20671928,21054433,21130429,21406328,21588068,21905583,21961633,22124898,22140152,22538918,22552115,22612155,22635229,22781348,22932733,23138708,23255919,23376788,23691426,23697919,24053260,24082119,24111229,24119632,24338168,24365640,24395366,24446564,24766033,24776970,24883595,24907671,24921188,25486753,25901318,25986973,25990016,26078075,26428768,26695453,26732918,26932628,26984503,27062538,27134586,27257053,27286628,27380439,27411345,27605713,27990008,28090813,28563639,28863912,28902755,29042246,29238768,29446712,29548455,29732364,29860314,30459668,30499955,30674486,30795133,31059229,31293690,31488759,31512164,31518352,31627448,31646918,31808486,31974493,32103599,32353208,32426833,32471901,32678564,32893614,33127551,33320929,33379936,33854170,34013533,34173519,34288579,34306148,34361800,34527032,34573729,34683306,34820833,34882429,35009606,35178178,35250493,35458146,35494429,35541303,35580879,35642918,36339133,36397359,36417471,36599946,36992929,37038651,37216118,37372646,37481631,37521373,37552428,37841366,37928353,38138552,38189031,38549290,38657025,38842911,39071713,39423727,39495188,39520993,39783399,39910333,40282055,40296548,40472966,40625004,40732753,40949329,41086118,41234160,41289650,41324564,41696966,41698273,42027351,42067453,42311075,42743713,42795229,42846673,42858536,42905871,42918548,43082871,43170488,43417583,43860433,43983104,44010013,44338042,44356513,44732564,44845393,44920023,45175655,45235743,45279229,45517729,45666082,45974948,46036093,46085415,46175953,46259148,46388430,46499773,46683229,46956253,47538913,47599955,47759773,47912631,47971766,48111764,48215853,48288058,48338466,48363100,48410246,48454429,48566799,48672164,48826455,49119908,49157776,49296829,49480992,49547580,49595579,50094811,50254540,50773290,50794388,51017108,51086929,51276829,51982033,52018429,52054753,52081552,52128788,52233995,52850752,52870333,52964079,53006726,53165103,53430086,53448673,53679764,53713633,53852075,53942811,54038353,54121748,54158176,54210786,54261373,54306755,54673508,54831926,54848929,54879133,54971318,54999229,55265233,55294429,55302498,55323553,55654543,55666116,55695613,55723729,55804646,55835473,56319610,56387639,56429473,56686328,56764093,56948555,57119946,57135073,57159229,57278929,57399825,57420193,57489853,57512929,57592406,57604513,58026826,58035720,58096952,58148615,58275229,58476829,58591746,58784413,58949329,59038429,59058788,59142973,59221046,59276708,59376829,59457096,59505272,59707115,59712164,60109393,60207313,60277729,60305448,60345553,60431953,60483613,60493729,60552913,60680929,60687995,60689533,60757895,60907729,60911288,60927948,60974653,60976279,61094353,61109329,61112893,61129633,61138813,61152673,61190113,61198429,61199293,61199329,61226480,61232228,61340564,61613432,61904768,62260431,62371959,62416118,62590479,62680794,63052475,63071318,63340060,63500564,63608228,63772119,63824955,63871143,63941883,64468388,64536650,64622490,64707711,65015318,65143766,65168106,65219348,65237260,65290185,65305786,65359071,65487831,65526515,66297155,66800486,66823268,66889233,66943431,67209848,67356308,67569095,67583532,67843629,67906808,68079952,68313764,68333125,68338266,68525199,68879790,68930656,68950628,68982940,69301766,69315111,69425318,69642864,69778338,70036595,70537748,70547722,70599255,70688888,70729967,70959764,71066391,71648538,71745446,71775298,71792200,71986646,72179079,72825594,72909474,73471776,73524471,73658918,74308115,74512475,74630564,75305872,75568148,75611079,75662970,75672164,75999255,76008072,76019699,76037075,76073195,76395159,76589946,76683943,76690311,77033126,77147318,77307263,77443980,77546988,77745764,78284712,78348222,78389915,78631818,79400918,79506490,79524999,79556586,79703828,80037915,80553770,80615846,80707168,80766225,80944166,81065872,81067943,81082914,81171303,81488486,81718252,81725048,81999750,82244486,82291551,82606912,82655748,82779099,82779528,83069450,83099846,83777912,83840726,83991188,84043914,84066855,84295268,84497828,84713991,84719106,84775834,84801428,84905079,85373776,85509081,85816118,85848783,85927475,86150640,86225366,86747415,86834918,87108970,87338918,87466400,87821588,87938966,87960455,88070301,88220823,88237046,88422164,88547768,89169738,89343303,89414970,89643346,89671312,90316388,90383366,90404615,90485800,90515108,90583352,90760155,90795564,91199106,91244490,91287834,91351403,91725347,91894016,91937528,91940679,92274086,92288823,92530576,92645318,92932776,93071482,93126969,93293980,93563318,93616355,93926486,94016918,94067898,94250151,94556486,94638968,94741179,94863223,95245988,95375968,95407788,95444246,95795318,95832164,95986232,96045498,96095355,96144086,96493955,96664524,96806564,96810832,96919470,97005926,97072715,97327456,97440499,97618750,97680788,97937318,98002808,98193683,98199244,98323719,98330991,98354918,98399700,98700891,98826063,98842388,98940995,99586118,99616239,99683340,99710564,99906351,...,20524949613520815784531120348974459401222069252482211539139856239805741775116801250199465132538970489997267338928631788650568857385405062950587761114990522932512589100282318297980241544977691713659271047679965567694314069190192989337982216337899683931346182233293892572065712885310413609594978947761684405160255331910980464623234750505463892516577670387242983257242353601312104948770513812193008296653042235456579191549528640465783830605060720379556701377284407696652718276270018964109238543777522554504844341463442841645648650510919439707651230880995722052129080572503236116765539429622192606844216553385349114711687758388742110039094177201284742502704122823160607903869068021665849508005156522369688945367593673968235217663468510176833644129158346700190253008309072862982407321870917348488913623872456814430833356584407370201133135032692247312522947685532479890311158821485366797808654888960447065646172150190432932469310065618594182645436035370657228085125938879911148917781000436489351153283120668898756874443845016550663987735457165065199549576166972534868723215572087543617255491279794916277231891439409769141713194557561964999999145202987151186758165794704255824597928782093764085734267307984226960745503514988632815533311645698480387613241019832887342249613594017282609103358452258400792439748735905461772195032503154439233987399912002741687416885288028873177093347698786818185667668121085025008620769598991835658009225084636960981234517051962714649367502318374676376521401506710999771120280215958244795659218776234891750638478909113484199313629103985346949305958910302473610045408881850236978260497825706997352200270002320180283039240905132304452976531632034557173973022068311350002093149969074640343364759452435197697542760711105148707239991071183144951220732315921142957367835641805935173913583059967656935688645395195709813078642153611897157730340912723613761668920867787308177254991125380439631730703522604233729975652356351526475880484826023951937849363468138587639237573980327313627352464410694694122906520061000492302239274279370696460280710031270132394716075434571887619932536387281010520766165459960542993274614165024282884040615289932794742410621083309703671807641115586635692883254898453593215315456259016351562140468497963961291148276155895517628049956863381648759154441001429176309748713757448261656375759424780066047064048404909168674094979012533646806625422293161682964797046518455493539601450548642246237664976641112504120858167914852335916461103581339764509275876}
15647  4733640072565599796098181483947538921485400325234569112193068760: {15647,62572,125128,140769,1015885,1203433,1219062,1719190,1732377,1796185,2012529,2063028,2155422,2851689,2920753,3063284,3198205,3837846,4154654,4376120,4596985,4752205,4802169,4923135,4978633,5251344,5279222,5516382,5682685,5702646,5860875,5907762,5935220,6102337,6251600,6434953,6456985,6773438,6819222,7018329,7033050,7122264,7434644,7501920,7691293,7737793,7748382,7848205,8002048,8012547,8081318,8252929,8439660,8934068,8946129,9002304,9084889,9192790,9417846,9676340,9688273,10127592,10159705,10620920,10735309,11031348,11053990,11268254,11393541,11474353,11542285,11544740,11611608,11948535,12191646,12281857,12450817,12498249,12574406,12672884,12745104,13041489,13063059,13264788,13840390,13850742,13853688,13913833,13992205,14338242,14395809,14694769,14755705,15119192,15205809,15365785,15409609,15475377,15585399,16145053,16608468,16718413,16779529,16790646,16819977,17009091,17088249,17208254,17452849,17545510,17647885,17706846,18087937,18104120,18167446,18438942,18558205,18616873,18665972,18730537,18779713,19315705,19372633,20164244,20367135,20676685,20821377,20884993,21054612,21104678,21177462,21279764,21295897,21319935,21582205,21598057,21724944,21732985,22269846,22486285,22684033,22741264,23125172,23178846,23513533,23526308,23618173,23694913,23724849,23839705,23989885,24440562,24491257,24583220,24812022,24898438,25255923,25380875,25462622,25583922,25765873,25820049,25839910,25898646,26079582,26110129,26621449,26757910,26983542,26985085,27187777,27270548,27578558,27600157,27642009,27674017,27675190,27743089,28309057,28396126,28419609,28476685,28607646,28787862,28923385,29207444,29220985,29385766,29499864,29530982,29667769,29711289,29796313,29950526,29982193,30066575,30149540,30211153,30215593,30422710,30457050,30558205,31007892,31151485,31231414,31588568,32109492,32382102,32487520,32785489,33035960,33187347,33210228,33371233,33456313,33578857,33665785,33808377,33947833,34108285,34172022,34640737,34708062,34771789,34987510,35065182,35440729,35537139,36079890,36083197,36083384,36179448,36507252,36548460,36550558,36593049,36669846,36808390,37165455,37381782,37501219,37774177,37808089,37957222,38074585,38084852,38344969,38485216,38572033,38851977,38985024,39390205,39397940,39534310,39613214,39643152,39813752,40099377,40313089,40398942,40441510,40593807,40701879,40848205,40929942,41297437,41724920,41985012,42441094,42838993,42859057,42882685,42952250,43013054,43095193,43158790,43295868,43563369,43654669,43858152,44170068,44474089,44598546,44790471,45266737,45564692,45571358,45689502,46011729,46244408,46649629,46680409,46707958,46798873,46940535,47017393,47268246,47277528,47388404,47441172,47470377,47673190,47683417,47712729,48130633,48529812,48556628,48799928,49017846,49057753,49340421,49368985,49384868,49600537,49975508,50069904,50130433,50194729,50291953,50370685,50781255,50789566,50834833,50918708,51374557,51459222,51542700,51655705,51766033,51790548,52024959,52067113,52514409,52767267,53044532,53187219,53273137,53297377,53319718,53417353,53464377,53573170,53648185,53737729,53911753,53963110,54166672,54899919,54978880,55136377,55824177,55851337,55881673,55915705,55991702,56036468,56058969,56328642,56713393,56762049,56825758,57207828,57443828,57468685,57537182,57823935,57963289,58358113,58686793,58808617,58844566,59242782,59418457,59569958,59893364,59956093,60139705,60314324,60328873,60444822,60453875,60709449,60840205,60937506,61399885,61447220,61479529,61629177,61640953,61678864,61851240,61852777,61934475,61986846,62533633,62545449,62624089,62818175,63492985,63771385,63883508,64287804,64289209,64377822,64451288,64755732,64792957,64882513,64891486,65101940,65160985,65892638,65974656,66063440,66424513,66507063,67098846,67099705,67164637,67584646,67652185,67697720,67729993,68232889,68341885,68499123,68506273,68704318,68959657,68962422,69023638,69256093,69388722,69582645,69899737,70135153,70245853,70338566,70393933,70618772,70758913,70857910,70886804,70932638,71301697,71442073,71509417,71779069,71923748,71957649,72167646,72281048,72432087,72507699,72544650,72615369,72621190,72712406,73008246,73305673,73322173,73332913,73679862,73736664,73823485,74035489,74095885,74221488,74321370,74381590,74640205,74702054,74799289,74829193,75008593,75020977,75381810,76139110,76159928,76159935,76191582,76525662,76533100,76540285,76675705,77016790,77052278,77276089,77380960,77472902,77479297,77914297,78122328,78193182,78432637,78462398,78499849,78945526,78991729,79175075,79260433,79276128,79375705,79409629,79510089,79510285,79670077,80143849,80145129,80150374,80407264,80445337,80519646,80585485,80964254,80991553,81153193,81182622,81237264,81316179,81524185,81528086,81546575,82010262,82247889,82456977,82480369,82521757,82809097,82820809,82934029,82953747,83013908,83086993,83162612,83453972,83499174,83529085,83574392,83706969,83987953,84012310,84133213,84195385,84479415,84709478,84883510,84944926,85029492,85099940,85161524,85236493,85255844,85267969,85392205,85450153,85679919,85752457,86087473,86163320,86178817,86188285,86228675,86276948,86388609,86890808,86922673,86941558,87040239,87053580,87145428,87159409,87317108,87787558,87887619,88146433,88172185,88361110,88588182,88683217,88699705,88748329,88831569,88915062,89185644,89257908,89568246,89688998,89740250,90111376,90458172,90931789,91018753,91116097,91117688,91300249,91366932,91391922,91601377,91677277,91839720,91848342,92010846,92358337,92420148,92857152,92918689,93037784,93198913,93288205,93347089,93413054,93624177,94021191,94132340,94460185,94590205,94606977,94755188,95010090,95225857,95250846,95412342,95422297,95531384,96238772,96440006,96702582,96804975,96822313,96933735,97100792,97182205,97212632,97522977,97715649,97752159,97829022,97855890,97958679,97962368,98032628,98941609,99053246,99629785,99705193,...,30787424420281223676796680523461689101833103878723317308709784359708612662675201875299197698808455734995901008392947682975853286078107594425881641672485784398768883650423477446970362317466537570488906571519948351541471103785289484006973324506849525897019273349940838858098569327965620414392468421642526607740382997866470696934852125758195838774866505580864474885863530401968157423155770718289512444979563353184868787324292960698675745907591080569335052065926611544979077414405028446163857815666283831757266512195164262468472975766379159561476846321493583078193620858754854175148309144433288910266324830078023672067531637583113165058641265801927113754056184234740911855803602032498774262007734783554533418051390510952352826495202765265250466193737520050285379512463609294473610982806376022733370435808685221646250034876611055301699702549038370968784421528298719835466738232228050196712982333440670598469258225285649398703965098427891273968154053055985842127688908319866723376671500654734026729924681003348135311665767524825995981603185747597799324364250458802303084823358131315425883236919692374415847837159114653712569791836342947499998717804480726780137248692056383736896893173140646128601400961976340441118255272482949223299967468547720581419861529749331013374420391025923913655037678387601188659623103858192658292548754731658850981099868004112531125327932043309765640021548180227278501502181627537512931154398487753487013837626955441471851775577944071974051253477562014564782102260066499656680420323937367193488828164352337625957718363670226298970443655978020423958938365453710415068113322775355467390746738560496028300405003480270424558861357698456679464797448051835760959533102467025003139724953611960515047139178652796546314141066657723060859986606774717426831098473881714436051753462708902760870374589951485403532968092793564719617963230417845736595511369085420642503381301680962265882486688070659447596055283906350594963478534527289713820727239035927906774045202207881458856360970490970441028696616042041184359780091500738453358911419056044690421065046905198592074113151857831429898804580921515781149248189940814489911921247536424326060922934899192113615931624964555507711461673379953539324882347680389822973184388524527343210702746945941936722414233843276442074935295072473138731661502143764464623070636172392484563639137170099070596072607363753011142468518800470209938133439742524447195569777683240309402175822963369356497464961668756181287251872278503874691655372009646763913814}
15648  4754596893926860195243943282371566800688334125049727194590910813: {78215,93858,109487,156410,187692,296951,452951,531386,639887,733247,1043927,1229951,1384751,1508447,1625416,1662887,1828593,2125007,2309836,2340047,2578785,2683372,2750704,2799527,2873896,3043847,3094542,3233133,3802252,3829105,3955487,4167167,4594926,4618106,4859927,5117128,5339351,5353658,5470150,5488751,5537186,5756769,5786951,5935751,6231981,6402892,6410567,6558527,6564180,6824351,7001207,7001792,7182458,7355176,7383407,7419025,7559351,7603528,7705751,7814500,7877016,7918833,8091458,8172887,8260247,8272826,8274573,8405687,8553969,8608967,8840807,8861643,8902830,9092296,9274127,9293305,9357772,9377400,9475727,9496352,9718586,10002560,10160157,10228833,10331176,10335287,10477847,10549575,10591751,10617506,10683396,10733951,10976066,11151966,11167585,11187647,11252880,11272487,11329007,11441951,11622573,11691458,11836247,11928172,12003072,12095425,12121977,12172967,12256967,12557128,12659490,12760226,12954167,13009727,13229293,13276150,13370087,13401102,13425407,13503456,13789185,14126769,14430925,14514510,14525087,14708464,14770751,14906951,14934167,15191388,15409466,15482144,15827807,15841105,15881687,15931380,15962447,16255528,16391951,16547022,16580985,16664332,16902381,16983458,16993472,17157626,17165207,17317110,17350847,17388652,17417412,17562527,17686384,17720951,17826407,17852858,18115751,18287469,18377951,18467656,18471584,18665447,18743687,18861609,18898990,18925967,19003967,19009326,19117656,19194412,19522127,19897182,19898606,19934351,20268026,20274412,20293367,20599847,20633836,20760585,20776113,20780532,20854367,21082751,21209351,21507363,22064927,22144624,22387528,22426636,22439447,22630150,22678788,22712951,22784332,22936007,23332465,23609128,24212087,24285047,24585256,24793751,24912702,25185969,25205305,25515458,25729127,25812381,25990751,26182466,26318265,26560269,26599705,26722847,27050951,27156180,27251169,27284351,27344186,27632951,27639997,27658413,27761836,27839906,27998958,28072816,28232927,28236616,28426580,28576607,28663226,28906465,28966592,29145407,29348951,29407885,29646458,29664287,29693128,29809826,30000407,30156647,30246366,30334727,30490127,30729025,30799751,30821807,30905128,31129751,31261247,31326887,31572961,31581918,31588727,31633132,31657017,31675751,31766193,31784351,31919646,31920506,32081858,32243066,32587416,32624567,33082696,33093167,33283751,33389351,33404769,33674564,34088185,34111896,34413647,34426732,34531528,34687758,34768269,34772776,34837033,34846751,35031287,35255951,35276327,35278658,35289462,35378087,35459351,35880493,35978056,36164951,36226466,36509305,36543887,36660843,36698426,36856012,36874830,37057751,37218033,37234367,37347657,37686925,37794626,37892812,37940617,37953647,38050007,38143528,38193933,38299607,38375883,38383816,38699951,38759865,38847969,38983751,39096767,39119373,39247007,39333152,39485710,39545951,39615052,39750287,40136865,40357487,40463857,40475313,40485167,40609400,40757447,40887746,40905822,40919951,41171447,41278751,41294950,41343856,41367837,41385767,41512785,41705087,42108866,42260858,42440087,42509351,42594189,42699937,42767951,42812656,42853751,42870887,42911469,42922247,43176136,43181793,43431887,43684007,43811166,43923266,44017367,44078649,44249796,44280304,44281751,44296473,44527751,44707007,44925789,45077836,45104230,45190967,45224310,45270458,45398447,45562696,45634065,45685575,45865466,45950327,46043951,46059527,46183847,46277416,46338527,46511838,46753576,46797767,46847121,46979447,47339351,47382852,47395838,47561951,47606065,47768087,47782751,47914367,48088847,48106520,48161207,48164238,48222458,48239264,48573153,48676336,48731280,48775247,48790732,48893128,48985967,49055807,49139351,49247425,49429487,49470647,49532066,49552751,49553940,49767190,49815342,49837847,49842376,50278727,50567807,50762687,50955767,50973506,51258033,51311689,51399287,51802636,51820751,51973946,51980032,51991607,52003751,52062093,52076447,52156150,52172927,52481265,52530167,52597773,52717751,52775951,52857536,52880207,52995287,53290751,53358167,53390906,53465836,53525447,53569751,53690927,53865256,53897951,53969006,54048647,54119835,54125076,54176567,54269172,54271751,54514106,54573256,54737951,54760878,54822690,54825837,55004769,55079447,55211426,55212585,55246727,55430353,55517207,55678367,55715951,55846487,55980016,56072673,56075687,56129951,56181626,56183927,56394877,56440751,56449487,56775527,56876087,56935833,56955865,57081887,57127278,57345887,57361607,57385127,57431951,57439727,57616367,57727824,57805510,57840407,57992951,58057247,58084492,58246247,58416047,58477536,58612957,58613207,58632527,58670951,58759487,58803167,58821767,58889351,58893424,58925807,58979951,59003807,59092127,59096910,59235505,59246567,59263367,59301465,59324351,59419821,59438087,59464728,59517167,59669927,59714351,59720628,59733887,59762951,59806007,59903951,59993951,60085007,60127127,60220967,60224951,60248687,60302951,60374087,60381407,60392327,60449351,60466751,60480527,60487367,60537647,60566951,60598413,60598751,60662265,60695785,60703751,60720767,60729167,60809207,60848951,60860951,60919336,60971927,60991247,60999910,61044407,61049327,61080287,61094567,61097327,61101407,61132607,61138247,61144751,61145807,61159751,61180751,61199351,61208087,61348972,61394913,61590266,61731085,62118458,62469385,62587380,62977518,63024328,63036704,63245917,63254896,63293836,63616972,63648385,63661641,63948986,64207198,64428375,64519581,64706416,64738185,64853666,64943802,65357128,65787228,66255102,66305665,66639937,66641858,66759872,66897819,67708340,68027066,68347038,68357037,68534253,68577158,68612296,68723600,69054064,69147458,69366612,69641666,69764858,70019212,70045585,70061937,70356356,70500986,70902369,70916292,70988858,71082606,71161758,71285836,71509785,71804785,72678266,72794718,72834942,73127593,73199892,73526769,73985858,74077302,74432236,74745292,74866705,74963262,75042746,75104856,75392905,75682732,75856706,76029457,76184349,76277104,76378062,76809025,77098580,77188833,77314050,77685822,78143426,78847454,78990376,79041986,79566798,79727977,79820666,79854385,79979577,80359755,80564110,80593096,80944665,80945932,81078349,81250008,81377425,81408061,81465506,81898658,82172236,82468320,82579300,82649128,83393932,83396546,83589961,83987553,84054702,84134906,84492963,84622150,84963193,85061053,85238637,85487426,85590458,85693346,85717072,85811742,85837096,86165742,86305773,86340976,86835166,87720866,87966208,88020026,88266849,88273465,88608505,88676084,88713026,88864173,89354937,89465128,89690786,89840046,89904685,90351310,90471486,90558458,90667233,91035458,91332164,91363129,91406259,91737121,91949896,92072186,92170830,92351906,92518296,92776860,92816017,92980269,92999546,93366458,93912506,94596733,95077826,95199910,95519546,95666375,95807569,95825262,95943532,96223528,96431706,96566733,96576116,96676932,96726200,96820492,96908858,97133598,97337229,97344328,97652910,98051233,98239816,98315552,98593658,98838957,98961984,99095160,99191158,...,46181136630421835515195020785192533652749655818084975963064676539562918994012802812948796548212683602493851512589421524463779929117161391638822462508728676598153325475635216170455543476199806355733359857279922527312206655677934226010459986760274288845528910024911258287147853991948430621588702632463789911610574496799706045402278188637293758162299758371296712328795295602952236134733656077434268667469345029777303180986439441048013618861386620854002578098889917317468616121607542669245786723499425747635899768292746393702709463649568739342215269482240374617290431288132281262722463716649933365399487245117035508101297456374669747587961898702890670631084276352111367783705403048748161393011602175331800127077085766428529239742804147897875699290606280075428069268695413941710416474209564034100055653713027832469375052314916582952549553823557556453176632292448079753200107348342075295069473500161005897703887337928474098055947647641836910952231079583978763191533362479800085065007250982101040094887021505022202967498651287238993972404778621396698986546375688203454627235037196973138824855379538561623771755738671980568854687754514421249998076706721090170205873038084575605345339759710969192902101442964510661677382908724423834949951202821580872129792294623996520061630586538885870482556517581401782989434655787288987438823132097488276471649802006168796687991898064964648460032322270340917752253272441306269396731597731630230520756440433162207777663366916107961076880216343021847173153390099749485020630485906050790233242246528506438936577545505339448455665483967030635938407548180565622602169984163033201086120107840744042450607505220405636838292036547685019197196172077753641439299653700537504709587430417940772570708767979194819471211599986584591289979910162076140246647710822571654077630194063354141305561884927228105299452139190347079426944845626768604893267053628130963755071952521443398823730032105989171394082925859525892445217801790934570731090858553891860161067803311822188284541455736455661543044924063061776539670137251107680038367128584067035631597570357797888111169727786747144848206871382273671723872284911221734867881871304636489091384402348788170423897437446833261567192510069930308987323521520584734459776582786791014816054120418912905083621350764914663112402942608709708097492253215646696934605954258588726845458705755148605894108911045629516713702778200705314907200159613786670793354666524860464103263734445054034746197442503134271930877808417755812037483058014470145870721}
15649  4775645764655503153092654904096921948086936502379526465888478577: {15649,31294,125144,140787,234615,250256,281538,797079,1422239,2031770,2406866,2438124,2514659,2887295,3264371,3354215,3438380,3451799,3464754,3592370,4025058,4126056,4310844,4477487,4641813,4752815,5321987,5703378,5841506,5883839,6126568,6349607,6396410,6435779,6653087,6820259,6892389,6927159,7675692,7955759,8003615,8030487,8205225,8221727,8305779,8309308,8596151,8752240,9039779,9193970,9504410,9604338,9768125,9846270,9957266,10502688,10558444,10736687,10773687,10987487,11032764,11365370,11405292,11697215,11721750,11815524,11870440,12137187,12204674,12409239,12503200,12869906,12913970,13354245,13520771,13546876,13560599,13638444,13915619,14036658,14066100,14223587,14244528,14577879,14869288,14910215,15003840,15382586,15411587,15475586,15496764,15696410,15926259,16004096,16025094,16159199,16162636,16464099,16505858,16582247,16720559,16727949,16879320,17537187,17868136,17871407,17892258,18004608,18044471,18169778,18385580,18835692,18989235,19140339,19308719,19352680,19376546,19589087,19914225,20101653,20255184,20319410,20657987,20830415,20989091,21241840,21470618,21512099,21668867,21735815,21771765,22001759,22062696,22107980,22536508,22787082,22948706,23084570,23089480,23114199,23223216,23342051,23897070,23976419,23993015,24383292,24563714,24707039,24770279,24820533,24901634,24996498,25148812,25343015,25345768,25475187,25490208,25736439,25792295,25975665,25981487,26082978,26126118,26279831,26529576,26779287,27041987,27523871,27680780,27701484,27707376,27827666,27984410,28003079,28033295,28348485,28457411,28480415,28513989,28676484,28791618,28947359,29389538,29511410,29845773,29847909,30215087,30238384,30386339,30402039,30411618,30426179,30511199,30731570,30819218,30950754,31170798,31444739,31480799,32290106,32299427,32787287,33216936,33375587,33436826,33559058,33581292,33585839,33639954,33795971,33945225,34018182,34176498,34416508,34702295,34905698,35091020,35098607,35295770,35413692,35533225,35604431,35806067,36175874,36208240,36334892,36609959,36877884,37116410,37233746,37331944,37369053,37461074,37559426,37779119,38273187,38631410,38745266,38746487,39273699,39539279,39541415,39867359,40328279,40328488,40492739,40734270,40826207,40909379,41016279,41353370,41642754,41759859,41769986,41998437,42093205,42109224,42209356,42354924,42559528,42591794,42639870,42691127,42781487,42994839,43033415,43164410,43196114,43449888,43465970,43612079,44469687,44539692,44556047,44682287,44714739,44972570,45368066,45369549,45482528,46070015,46155959,46250344,46357692,46804967,47027066,47052616,47132099,47236346,47366015,47372877,47389826,47449698,47542727,47679410,47751599,47879469,47880759,47901299,47979770,48122787,48364599,48881124,48982514,49030271,49166440,49518815,49624044,49796876,50511846,50655359,50761750,50925244,51167844,51449987,51531746,51640098,51679820,51772787,51797292,52031637,52159164,52220258,52548851,52560287,52745219,52917987,52934193,53242898,53304419,53515820,53967084,53970170,54339699,54375554,54541096,55047639,55146287,55157116,55200314,55284018,55307759,55312245,55348034,55350380,55486178,55732787,56028131,56347295,56618114,56691939,56792252,56839218,56953370,57060719,57187487,57215292,57575724,57775967,57846770,57964607,58414888,58441970,58694471,58771532,58999728,59061964,59228565,59335538,59422578,59592626,59901052,59964386,60035759,60133150,60299080,60422306,60431186,60845420,60914100,60988415,61116410,61178039,61331619,61358733,61649027,61687247,61942425,62015784,62302970,62462828,63056927,63129599,63163299,63177136,63391287,63614771,64218984,64753295,64764204,64975040,65570978,65716749,65884899,66071920,66374694,66420456,66557447,66742466,66832295,66912626,67009751,67024919,67157714,67331570,67616754,67656345,67836465,67895666,67905687,68216570,68344044,68798199,68968679,69116579,69281474,69357119,69416124,69543578,69767757,69890531,69975020,70130364,70469927,70518959,70609379,70768127,70881458,71074278,71093757,71297759,72159780,72166394,72166768,72246357,72296771,72317987,72333687,72358896,72401027,72605615,72634439,72848399,73014504,73096920,73101116,73186098,73339692,73395971,73616780,73785827,73844039,74010287,74298099,74330910,74650785,74723013,74763564,75002438,75066359,75107459,75248687,75280487,75548354,75616178,75914444,76149170,76169704,76460259,76686215,76689938,76970432,77144066,77703954,77960919,77970048,78234225,78281987,78510071,78780410,78795880,79068620,79083491,79117295,79226428,79286304,79370639,79521215,79577639,79627504,79989827,80086359,80198754,80456159,80626178,80797884,80883020,80953509,80961959,81039311,81187614,81403758,81512399,81696410,81771159,81859884,81948311,82141317,82234035,82594874,82817139,82886999,83097971,83449840,83970024,84195587,84272439,84576287,84635425,84882188,85176287,85671011,85677986,85690917,85718114,85765370,85904500,85959839,86026108,86190386,86317580,86344919,86380607,86591736,86708265,87126738,87309338,87496487,87524015,87716304,87945445,88340136,88645365,88646519,88666439,88890179,88948178,89107295,89197092,89279939,89371199,89580942,90519971,90533474,90802547,91129384,91142716,91225379,91326287,91343267,91379004,91499865,92023458,92230199,92384759,92385399,92446259,92488816,93040295,93177687,93299258,93360818,93415916,93431615,93597746,93872087,93881070,93939587,94034786,94466277,94536492,94555056,94603415,94713059,94776808,94882344,94940754,95346380,95366834,95425458,95592167,95678639,95908319,95923479,96215411,96261266,96310797,96373225,96757319,97059624,97113256,97280499,97415703,97599856,97788479,98035692,98115506,98193719,98680842,98737970,98769736,98825039,99201074,99382653,99458087,99951016,99962787,...,61574848840562447353593361046923378203666207757446634617419568719417225325350403750598395397616911469991802016785895365951706572156215188851763283344971568797537767300846954893940724634933075140977813143039896703082942207570578968013946649013699051794038546699881677716197138655931240828784936843285053215480765995732941393869704251516391677549733011161728949771727060803936314846311541436579024889959126706369737574648585921397351491815182161138670104131853223089958154828810056892327715631332567663514533024390328524936945951532758319122953692642987166156387241717509708350296618288866577820532649660156047344135063275166226330117282531603854227508112368469481823711607204064997548524015469567109066836102781021904705652990405530530500932387475040100570759024927218588947221965612752045466740871617370443292500069753222110603399405098076741937568843056597439670933476464456100393425964666881341196938516450571298797407930196855782547936308106111971684255377816639733446753343001309468053459849362006696270623331535049651991963206371495195598648728500917604606169646716262630851766473839384748831695674318229307425139583672685894999997435608961453560274497384112767473793786346281292257202801923952680882236510544965898446599934937095441162839723059498662026748840782051847827310075356775202377319246207716385316585097509463317701962199736008225062250655864086619531280043096360454557003004363255075025862308796975506974027675253910882943703551155888143948102506955124029129564204520132999313360840647874734386977656328704675251915436727340452597940887311956040847917876730907420830136226645550710934781493477120992056600810006960540849117722715396913358929594896103671521919066204934050006279449907223921030094278357305593092628282133315446121719973213549434853662196947763428872103506925417805521740749179902970807065936185587129439235926460835691473191022738170841285006762603361924531764973376141318895192110567812701189926957069054579427641454478071855813548090404415762917712721940981940882057393232084082368719560183001476906717822838112089380842130093810397184148226303715662859797609161843031562298496379881628979823842495072848652121845869798384227231863249929111015422923346759907078649764695360779645946368777049054686421405493891883873444828467686552884149870590144946277463323004287528929246141272344784969127278274340198141192145214727506022284937037600940419876266879485048894391139555366480618804351645926738712994929923337512362574503744557007749383310744019293527827628}
15650  4796787085874624740669813486022332095702850597141891003106601066: {46941,109501,156430,187716,218974,312820,375384,422307,484189,593902,671101,905902,1044061,1062772,1279774,1466494,1693969,2087854,2156029,2432401,2459902,2769502,3016894,3047655,3074749,3250832,3257629,3325774,3440221,3610299,3657186,4250014,4258321,4297975,4619672,4680094,5070589,5157570,5160481,5197131,5360747,5366744,5388555,5501408,5599054,5698321,5747792,5787709,6037587,6087694,6189084,6233569,6466266,6588961,6943201,7031581,7604504,7658210,7910974,8334334,8555067,8697121,8762259,9189852,9236212,9304189,9594615,9719854,10234256,10386635,10678702,10707316,10849021,10940300,10977502,11074372,11513538,11573902,11871502,12202621,12286609,12463962,12621841,12805784,12821134,13010627,13039261,13117054,13128360,13198055,13537789,13648702,13786081,13790955,14002414,14003584,14198461,14256615,14364916,14406507,14609041,14710352,14766814,14769405,14838050,14935899,14936209,15118702,15207056,15411502,15629000,15634619,15754032,15829981,15837666,15910801,16182916,16233361,16345774,16520494,16545652,16549146,16811374,16933595,16954909,17048055,17107938,17217934,17353249,17512081,17582625,17681614,17723286,17749789,17805660,17986849,18184592,18307011,18548254,18586610,18694141,18715544,18754800,18951454,18992704,19006621,19304859,19370955,19437172,19937149,20005120,20203295,20320314,20321809,20457666,20628241,20662352,20670574,20955694,21054987,21099150,21183502,21235012,21366792,21467902,21767101,21952132,22068061,22177547,22218109,22303932,22335170,22375294,22505760,22544974,22658014,22741009,22883902,22981975,23073879,23213379,23245146,23382916,23544615,23672494,23856344,24006144,24037641,24190850,24243954,24288541,24345934,24513934,24652321,24758787,25114256,25318980,25520452,25661329,25908334,26019454,26458586,26552300,26740174,26802204,26838387,26850814,27006912,27254667,27497761,27578370,27634975,27914641,28170635,28253538,28260061,28603681,28861850,28877281,29029020,29050174,29064819,29416928,29541502,29813902,29868334,30027229,30161149,30361489,30382776,30479115,30818932,30826429,30964288,31156369,31436015,31615261,31655614,31682210,31763374,31862760,31924894,32205927,32511056,32522461,32586721,32665451,32783902,32906941,33094044,33161970,33328664,33415549,33478801,33804762,33966916,33986944,34107361,34180623,34315252,34330414,34418941,34423059,34600975,34626855,34634220,34666909,34701694,34728721,34777304,34790461,34834824,35125054,35281789,35287427,35372768,35441902,35652814,35705716,35845605,35949841,36231502,36489949,36574938,36755902,36845571,36846781,36935312,36943168,37239587,37330894,37352451,37487374,37494241,37494747,37723218,37797980,37851934,38007934,38018652,38235312,38305681,38388824,38420449,38534929,38592061,38989969,39044254,39124467,39189177,39496381,39794364,39797212,39868702,39996961,40107409,40382269,40469051,40491709,40536052,40548824,40586734,40818301,41171039,41199694,41267672,41303329,41410321,41521170,41552226,41561064,41708734,41741499,41976615,42165502,42404219,42418702,42877969,43014726,43020635,43187427,43439101,43489681,43741501,43863775,44084307,44129854,44140669,44190241,44267115,44289169,44289248,44437021,44775056,44838911,44853272,44878894,45214621,45260300,45357576,45418615,45425902,45568664,45617427,45872014,45879901,45973789,46067389,46097355,46228827,46426131,46664930,46756197,47032801,47218256,47347549,47723459,47747041,47791069,48424174,48435159,48570094,48783841,49078429,49170512,49245181,49587502,49825404,50155239,50300989,50338587,50371938,50410610,50459931,50616061,50771869,50849341,51027273,51030916,51113027,51194401,51232381,51264747,51458254,51624762,51830269,51976861,51981502,52013329,52158481,52358547,52364932,52445329,52636530,52761695,52943655,53120538,53176381,53199410,53210401,53244349,53312029,53379421,53445694,53908189,54101902,54263811,54312360,54324241,54502338,54568702,54688372,54758689,55090141,55265902,55279994,55316826,55383901,55523672,55674615,55679812,55850619,55997916,56086801,56145632,56191611,56195089,56339139,56460769,56465854,56473232,56642461,56719249,56853160,56895901,56920849,57044509,57093469,57153214,57214609,57286429,57326452,57404689,57451489,57726241,57812930,57925501,57933184,57947115,58033681,58117899,58290814,58625629,58644961,58683409,58697902,58740541,58815770,58908049,59104861,59122321,59292916,59328574,59342749,59386256,59391889,59597341,59619652,59747101,59819281,59917309,59985169,60000814,60102781,60238609,60313294,60320509,60484129,60492732,60593821,60641087,60659089,60669454,60746209,60848701,60863389,60951841,60976609,60980254,60988561,61064161,61096669,61101405,61117729,61154449,61160929,61175869,61196029,61211581,61214749,61218961,61220221,61458050,61599502,61643614,61810256,61951571,62030055,62246095,62259502,62464131,62522494,62653774,62654979,63145922,63163836,63177454,63266264,63314034,63351502,63532386,63568702,63656555,63839292,63841012,63887691,63959805,64163716,64486132,64599775,64746615,64794171,65174832,65198955,65249134,65508599,66165392,66186334,66567502,66648491,66778702,66809538,66894775,67349128,67458855,68052099,68176370,68223792,68827294,68853464,68946395,69063056,69187975,69375516,69536538,69545552,69674066,69693502,70062574,70511902,70540599,70552654,70557316,70578924,70756174,70854519,70918702,70990315,71084739,71174547,71519115,71760986,71956112,71969655,72329902,72452932,73018610,73087774,73321686,73396852,73464415,73473771,73712024,73749660,73827455,74115502,74436066,74468734,74695314,74876315,75373850,75589252,75767769,75785624,75881234,75907294,76056775,76100014,76142625,76287056,76387866,76599214,76751766,76767632,77297619,77399902,77460147,77519730,77695938,77967502,78078535,78193534,78238746,78330387,78494014,78666304,78971420,79091902,79230104,79500574,79738211,79864347,80273730,80714974,80927714,80950626,80955255,80970334,81218800,81514894,81563331,81775492,81811644,81839902,82342894,82557502,82589900,82687712,82735674,82771534,82800471,82926027,82929707,83022051,83025570,83229267,83410174,84217732,84521716,84880174,84927171,84974099,85018702,85188378,85258827,85399874,85430055,85535902,85625312,85707502,85741774,85822938,85844494,86352272,86363586,86423519,86770155,86863774,87368014,87457139,87468775,87622332,87662955,87846532,88034734,88157298,88499592,88560608,88563502,88592946,88609147,89003307,89055502,89107739,89133867,89388939,89414014,89851578,89946579,90155672,90199725,90208460,90381934,90448620,90540916,90633459,90646779,90796894,91125392,91268130,91371150,91376395,91674615,91730932,91900654,92020975,92087902,92119054,92367694,92554832,92677054,92827931,93023676,93454455,93507152,93595534,93694242,93958894,94678702,94765704,94791676,94893055,95123902,95212130,95536174,95565502,95819867,95828734,96177694,96213040,96322414,96328476,96444916,96478528,97146306,97352672,97462560,97550494,97581464,97786256,97971934,98063819,98111614,98278702,98356467,98494850,98835775,98858974,98941294,99033035,99064132,99105502,99107880,99534380,99562041,99630684,99675694,99684752,...,92362273260843671030390041570385067305499311636169951926129353079125837988025605625897593096425367204987703025178843048927559858234322783277644925017457353196306650951270432340911086952399612711466719714559845054624413311355868452020919973520548577691057820049822516574295707983896861243177405264927579823221148993599412090804556377274587516324599516742593424657590591205904472269467312154868537334938690059554606361972878882096027237722773241708005156197779834634937232243215085338491573446998851495271799536585492787405418927299137478684430538964480749234580862576264562525444927433299866730798974490234071016202594912749339495175923797405781341262168552704222735567410806097496322786023204350663600254154171532857058479485608295795751398581212560150856138537390827883420832948419128068200111307426055664938750104629833165905099107647115112906353264584896159506400214696684150590138947000322011795407774675856948196111895295283673821904462159167957526383066724959600170130014501964202080189774043010044405934997302574477987944809557242793397973092751376406909254470074393946277649710759077123247543511477343961137709375509028842499996153413442180340411746076169151210690679519421938385804202885929021323354765817448847669899902405643161744259584589247993040123261173077771740965113035162803565978869311574577974877646264194976552943299604012337593375983796129929296920064644540681835504506544882612538793463195463260461041512880866324415555326733832215922153760432686043694346306780199498970041260971812101580466484493057012877873155091010678896911330967934061271876815096361131245204339968326066402172240215681488084901215010440811273676584073095370038394392344155507282878599307401075009419174860835881545141417535958389638942423199973169182579959820324152280493295421645143308155260388126708282611123769854456210598904278380694158853889691253537209786534107256261927510143905042886797647460064211978342788165851719051784890435603581869141462181717107783720322135606623644376569082911472911323086089848126123553079340274502215360076734257168134071263195140715595776222339455573494289696413742764547343447744569822443469735763742609272978182768804697576340847794874893666523134385020139860617974647043041169468919553165573582029632108240837825810167242701529829326224805885217419416194984506431293393869211908517177453690917411510297211788217822091259033427405556401410629814400319227573341586709333049720928206527468890108069492394885006268543861755616835511624074966116028940291741442}
15651  4818021260441494012145769784483711465238057304506568582447229072: {31298,62588,234645,250288,281574,328461,391025,469230,500512,563076,890853,1328465,1358853,1594158,1891109,1919661,2199741,2844478,3131781,3689853,3857893,4042213,4063540,4154253,4525341,4695901,4813732,4876248,4988661,5029318,5485779,5774590,6289621,6375021,6528742,6653941,6708430,6876760,6903598,6929508,7020141,7184740,7504081,7736355,8050116,8252112,8398581,8621688,8954974,9131541,9188989,9283626,9505630,9699399,10112069,10643974,11205061,11406756,11487315,11545265,11683012,11767678,11866461,12159389,12253136,12501501,12699214,12792820,12871558,13306174,13384145,13640518,13675375,13784778,13842965,13854318,14038481,14579781,15224429,15351384,15911518,15979093,16007230,16018053,16060974,16376101,16410450,16443454,16466253,16611558,16618616,16843061,17192302,17270307,17360853,17504480,17807253,17873701,17956145,18079558,18387940,18525809,18695943,19008820,19208676,19231701,19300061,19536250,19597201,19675581,19692540,19914532,20228645,20473053,20682065,20874301,21003621,21005376,21116888,21127133,21473374,21547374,21580333,21942461,21974974,22065528,22150221,22257075,22678053,22730740,22810584,23117253,23394430,23443500,23631048,23740880,23756499,23929553,24274374,24296465,24409348,24518661,24780741,24818478,24823719,25006400,25217061,25608661,25661907,25739812,25826901,25827940,26171489,26522421,26543765,26584929,26708490,27041542,27093752,27121198,27276888,27440165,27822381,27831238,27879915,28073316,28132200,28243613,28423901,28427181,28447174,28489056,29155758,29162581,29228645,29422069,29433701,29738576,29820430,30007680,30430141,30442709,30480471,30686499,30765172,30823174,30951172,30993528,31005861,31392820,31433541,31648725,31775253,31852518,31900565,32008192,32019509,32050188,32201853,32318398,32325272,32928198,33011716,33164494,33190375,33441118,33455898,33464981,33502755,33562941,33590221,33758640,33817461,33987021,34325853,34867719,35074374,35480221,35508741,35736272,35742814,35784516,36009216,36069221,36088942,36092513,36109213,36286275,36339556,36365931,36518901,36770901,36771160,37617869,37671384,37978470,38059909,38280678,38486261,38523665,38617438,38705360,38737541,38753092,38862501,39029181,39178174,39246613,39687879,39828450,39872581,39940693,40110261,40203306,40276221,40489229,40510368,40638820,40917013,41315974,41367555,41660830,41976241,41978182,42316261,42380307,42458645,42483680,42894065,42941236,43024198,43292775,43337734,43471630,43487741,43543530,43575261,43910813,44003518,44125392,44215960,44312253,44485661,44632145,44720853,44773621,44802501,45073016,45470801,45574164,45897412,46169140,46178960,46228398,46446432,46684102,46692461,47247475,47474669,47483421,47523315,47645061,47794140,47887341,47952838,47986030,48583213,48766584,49127428,49175853,49414078,49540558,49641066,49742955,49746515,49803268,49992996,50143421,50297624,50670065,50686030,50691536,50707143,50950374,50980416,51472878,51495621,51584590,51951330,51962974,52052541,52165956,52252236,52411669,52440509,52559662,52687581,52838381,53059152,53135989,53162853,53479221,53558574,54083974,54347253,54862407,55047742,55133853,55314961,55357981,55361560,55402968,55414752,55655332,55968820,55996341,56006158,56066590,56231061,56575375,56584827,56614813,56696970,56777901,56914822,56960830,57011901,57027978,57352968,57583236,57894718,58428101,58566381,58779076,58930487,59022820,59112421,59359421,59385701,59691546,59695818,59803053,60246781,60430174,60476768,60772678,60804078,60823236,60852358,60880101,60995941,61003361,61022398,61186021,61463140,61638436,61799541,61901508,62281755,62328339,62341596,62563101,62889478,62961598,63248253,63628053,63788645,64498021,64522089,64580212,64598854,64696381,65456165,65574574,65639261,65866021,66194781,66312421,66433872,66751174,66858833,66873652,67118116,67162584,67171678,67182113,67279908,67318341,67591942,67890450,68036364,68138853,68352996,68360465,68808021,68833016,69326341,69366193,69404590,69599765,69811396,69997395,70182040,70197214,70475389,70591540,70827384,71066450,71208862,71612134,71658065,71797601,72351748,72416480,72636261,72669784,72855141,72857941,73219918,73755768,74116145,74232820,74381253,74467492,74524565,74663888,74738106,74747509,74922148,75118852,75181093,75557907,75558238,75615915,75864301,76546374,77187381,77262820,77437143,77490532,77492974,77934413,77943701,77972253,78547398,78658801,78886213,78954795,79078558,79082830,79093789,79680807,79734718,79799115,79801265,79883309,80164613,80168541,80204645,80408621,80607665,80656558,80656976,80985478,81152853,81468540,81652414,81753507,81818758,81819749,81853053,82032558,82531573,82706740,82898853,82919991,82955441,82975239,83282641,83285508,83519718,83539972,83753021,83996874,84186410,84218448,84418712,84698781,84709848,84718469,85119056,85183588,85279740,85382254,85383781,85562974,85729821,85989678,86066830,86328820,86392228,86628229,86719395,86740693,86899776,86911841,86931940,87224158,87436221,88046853,88196645,88223655,88771421,88939374,88992861,89079384,89112094,89364574,89429478,89945140,90001221,90178013,90469941,90566165,90654613,90736132,90739098,90965056,91004181,91102093,91323821,91470381,91672081,91746065,92140030,92187075,92299741,92311918,92399253,92413541,92465421,92500688,92715384,93184981,93371861,93389253,93565213,93609934,93783741,93980661,94054132,94105232,94264198,94451249,94472692,94486565,94718883,94732030,94745754,94766181,94779652,94899396,94971051,95026133,95027253,95085454,95267261,95298579,95353053,95358820,95503198,95758938,95761518,95802598,95959540,96245574,96691813,96729198,97197221,97762248,97873701,97965028,98060542,98206693,98332880,98714275,99037630,99248088,99279501,99592013,99593752,99851253,...,138543409891265506545585062355577600958248967454254927889194029618688756982038408438846389644638050807481554537768264573391339787351484174916467387526186029794459976426905648511366630428599419067200079571839767581936619967033802678031379960280822866536586730074733774861443561975845291864766107897391369734831723490399118136206834565911881274486899275113890136986385886808856708404200968232302806002408035089331909542959318323144040856584159862562007734296669751952405848364822628007737360170498277242907699304878239181108128390948706218026645808446721123851871293864396843788167391149949800096198461735351106524303892369124009242763885696108672011893252829056334103351116209146244484179034806525995400381231257299285587719228412443693627097871818840226284207806086241825131249422628692102300166961139083497408125156944749748857648661470672669359529896877344239259600322045026225885208420500483017693111662013785422294167842942925510732856693238751936289574600087439400255195021752946303120284661064515066608902495953861716981917214335864190096959639127064610363881705111590919416474566138615684871315267216015941706564063263543263749994230120163270510617619114253726816036019279132907578706304328893531985032148726173271504849853608464742616389376883871989560184891759616657611447669552744205348968303967361866962316469396292464829414949406018506390063975694194893945380096966811022753256759817323918808190194793194890691562269321299486623332990100748323883230640649029065541519460170299248455061891457718152370699726739585519316809732636516018345366996451901091907815222644541696867806509952489099603258360323522232127351822515661216910514876109643055057591588516233260924317898961101612514128762291253822317712126303937584458413634799959753773869939730486228420739943132467714962232890582190062423916685654781684315898356417571041238280834536880305814679801160884392891265215857564330196471190096317967514182248777578577677335653405372803712193272575661675580483203409935466564853624367209366984629134772189185329619010411753323040115101385752201106894792711073393664333509183360241434544620614146821015171616854733665204603645613913909467274153207046364511271692312340499784701577530209790926961970564561754203379329748360373044448162361256738715250864052294743989337208827826129124292476759646940090803817862775766180536376117265445817682326733136888550141108334602115944721600478841360012380063999574581392309791203335162104238592327509402815792633425253267436112449174043410437612163}
15652  4839348692954991098643047150536639645563583221725600075259491807: {46947,78235,93882,172051,219002,312860,359467,375432,422361,437948,625640,703845,750768,844614,968378,1106251,1187804,1292227,1342202,1570651,1811804,2088122,2125544,2391237,2559548,2769667,2932988,2953051,3387938,3683707,3865651,4138027,4175708,4266717,4312058,4500187,4864802,4919804,5079425,5400547,5539004,5848027,5937307,6017165,6033788,6095310,6149498,6382627,6501664,6515258,6651548,6880442,7220598,7267867,7314372,7444051,7543977,7619947,7883251,8500028,8516642,8582227,8595950,8661885,8980925,9016747,9239344,9360188,9793113,10062645,10141178,10223827,10315140,10320962,10355397,10394262,10480651,10721494,10733488,10777110,11002816,11198108,11332051,11396642,11495584,11501467,11575418,12007987,12075174,12175388,12176251,12378168,12428107,12467138,12932532,13013251,13177922,13429051,13432461,13677667,13886402,13925439,14008147,14063162,14258445,14419627,14541289,14603765,14829307,14911027,15074251,15209008,15316420,15481051,15821948,15886051,15965961,15991025,16047547,16128187,16668668,16850707,17110134,17394242,17524518,17651517,17725867,18379704,18435427,18472424,18477277,18608378,19048821,19189230,19307337,19439708,19959261,20068387,20460777,20468512,20677167,20773270,20781477,20788889,21139387,21215347,21357404,21414632,21698042,21880600,21955004,22121251,22148744,22495651,22719427,22984925,23027076,23147804,23707033,23743004,23761025,23867277,23975251,24010845,24091461,24405242,24573218,24615675,24665181,24893165,24917337,24927924,25066051,25210267,25243682,25611568,25642268,25784251,25788453,25998307,26021254,26078522,26140651,26234108,26256720,26396110,26495251,26988667,27075578,27119337,27297404,27338947,27572162,27581910,27756907,28004828,28007168,28284613,28396922,28413425,28447747,28513230,28729832,28790467,28813014,29063347,29218082,29304375,29420704,29533628,29538810,29676100,29871798,29872418,30237404,30414112,30511685,30823004,31139107,31258000,31269238,31508064,31659962,31675332,31728787,31821602,31924051,32053867,32174765,32210061,32284925,32321061,32365832,32466722,32691548,32962461,33040988,33091304,33098292,33209251,33336187,33399547,33622748,33867190,33909818,34029187,34096110,34215876,34435868,34706498,34898587,34960147,35024162,35083051,35091645,35165250,35266867,35363228,35389051,35446572,35499578,35510947,35611320,35973698,36369184,36411561,36415987,36595051,36614022,37069387,37096508,37173220,37227717,37363507,37388282,37431088,37509600,37597507,37902908,37946347,37985408,38013242,38062051,38350051,38456465,38609718,38688965,38741910,38750227,38874344,39241025,39438889,39874298,40010240,40062735,40315651,40406590,40562313,40640628,40643618,40681797,40915332,40969267,41023267,41256482,41264645,41324704,41341148,41399251,41559307,41746857,41771707,41911388,42088147,42109974,42198300,42367004,42454051,42470024,42670761,42733584,42816427,42867907,42935804,43226251,43434281,43534202,43733637,43904264,43982251,44010421,44136122,44355094,44378827,44436218,44607864,44670340,44730645,44750588,45011520,45089948,45206251,45316028,45424445,45445651,45482018,45540907,45767804,45963950,46147758,46234761,46426758,46490292,46753027,46765832,47089230,47161267,47344988,47608027,47712688,47778777,48012288,48075282,48307867,48381700,48394051,48441365,48477597,48479947,48487908,48522787,48577082,48691868,48693427,49027868,49304642,49323067,49392297,49447051,49517574,49570387,49614653,49746741,50057251,50114077,50137387,50161677,50183847,50228512,50637960,50729227,50798525,51040904,51152947,51304867,51322658,51342667,51493147,51816668,52038908,52047187,52083547,52514251,52611561,52795627,52917172,52934587,53104600,53378251,53478907,53480348,53545651,53604408,53614221,53676545,53676774,53701628,54013824,54101347,54133413,54292507,54509334,54667051,54743909,54910987,54995522,55120651,55156740,55268251,55269950,55326787,55355947,55558051,55700251,55756627,55829282,55840651,55924027,56170267,56251051,56341270,56507076,56520122,56773051,56967705,57145651,57194107,57207362,57337747,57371765,57385051,57421017,57548347,57711425,57723700,57754562,57926157,58017067,58058040,58100348,58129638,58270651,58311907,58373251,58513867,58670251,58767261,58833856,58951051,59005267,59083004,59094187,59350147,59464051,59627804,59736668,59742675,59870347,59953507,59980651,60020827,60054458,60175051,60199747,60228889,60260227,60304959,60322298,60330427,60386947,60409051,60494587,60515251,60535627,60633187,60688267,60722978,60732187,60765552,60790651,60889867,60951427,60958230,61091827,61127251,61158067,61165051,61174987,61187227,61212787,61231147,61246267,61409285,61637864,61652858,61928576,61973961,62254085,62312738,62491245,62872030,62967273,63230522,63311228,63364420,63526748,63586061,63725520,63849788,64411854,64536297,65006601,65022112,65044922,65173442,65207445,65315295,65330902,65567804,65813882,66005277,66188088,66323940,66657328,66831098,66957602,67099901,67609524,67933832,67973888,68214722,68361246,68630504,68660828,68837882,68846118,69201950,69253710,69268440,69333818,69342597,69403388,69457442,69554608,69569165,69580922,69669648,69961025,70026153,70250108,70563578,70574854,70745536,70883804,71305628,71411432,71691210,71899682,71929257,71979045,72463004,72979898,73149876,73215493,73473845,73511804,73691142,73693562,73778525,73866373,73870624,73886336,74121117,74310837,74461599,74479174,74661788,74704902,74974748,74988482,74989494,75446436,75595960,75703868,76015868,76029045,76037304,76425561,76470624,76611362,76647713,76777648,76828925,76840898,77048045,77069858,77184122,77209317,77376885,77926995,77944461,77979938,78088508,78248934,78378354,78839493,78992762,79588728,79594424,79737404,79993922,80214818,80337861,80725265,80764538,80938102,80983418,81072104,81097648,81125961,81173468,81636602,82342078,82399388,82535344,82571613,82606658,82820642,83042340,83104452,83122128,83417468,83482998,83592065,83897645,83953230,84009237,84099885,84331004,84808438,84837404,85045455,85372233,85441245,85541967,85755938,86029452,86041270,86374854,86842077,86878202,86979362,87144533,87264245,87483002,87727550,88168614,88239425,88259708,88281338,88380482,88534230,88578338,88578496,88620521,88874042,89119177,89537319,89543727,89550112,89677822,89706544,89757788,90429242,90439685,90520600,90645261,90715152,90837230,90851804,91137328,91159017,91206117,91234854,91278537,91533597,91744028,91759802,91947578,92134778,92194710,92457654,92791025,92852262,93084365,93329860,93512394,93652685,93898565,94065602,94334217,94436512,94442397,94695098,95446918,95494082,95582138,96524953,96578525,96848348,96863165,96870318,96898281,97140188,97567682,98156858,98341024,98361861,98490362,99175004,99386441,99650808,...,184724546521687342060780083140770134610998623272339903852258706158251675976051211251795186192850734409975406050357686097855119716468645566555289850034914706392613301902540864681822173904799225422933439429119690109248826622711736904041839947041097155382115640099645033148591415967793722486354810529855159646442297987198824181609112754549175032649199033485186849315181182411808944538934624309737074669877380119109212723945757764192054475445546483416010312395559669269874464486430170676983146893997702990543599073170985574810837854598274957368861077928961498469161725152529125050889854866599733461597948980468142032405189825498678990351847594811562682524337105408445471134821612194992645572046408701327200508308343065714116958971216591591502797162425120301712277074781655766841665896838256136400222614852111329877500209259666331810198215294230225812706529169792319012800429393368301180277894000644023590815549351713896392223790590567347643808924318335915052766133449919200340260029003928404160379548086020088811869994605148955975889619114485586795946185502752813818508940148787892555299421518154246495087022954687922275418751018057684999992306826884360680823492152338302421381359038843876771608405771858042646709531634897695339799804811286323488519169178495986080246522346155543481930226070325607131957738623149155949755292528389953105886599208024675186751967592259858593840129289081363671009013089765225077586926390926520922083025761732648831110653467664431844307520865372087388692613560398997940082521943624203160932968986114025755746310182021357793822661935868122543753630192722262490408679936652132804344480431362976169802430020881622547353168146190740076788784688311014565757198614802150018838349721671763090282835071916779277884846399946338365159919640648304560986590843290286616310520776253416565222247539708912421197808556761388317707779382507074419573068214512523855020287810085773595294920128423956685576331703438103569780871207163738282924363434215567440644271213247288753138165822945822646172179696252247106158680549004430720153468514336268142526390281431191552444678911146988579392827485529094686895489139644886939471527485218545956365537609395152681695589749787333046268770040279721235949294086082338937839106331147164059264216481675651620334485403059658652449611770434838832389969012862586787738423817034354907381834823020594423576435644182518066854811112802821259628800638455146683173418666099441856413054937780216138984789770012537087723511233671023248149932232057880583482884}
15653  4860769789763076952658846641200935892639466386071655078382402824: {62596,125176,140823,328503,391075,469290,500576,547435,563148,656922,782050,938460,1001024,1126152,1266921,1452567,1484755,1781706,1859851,2013303,2234947,2264755,2656930,2717706,3132183,3188316,3199435,3666235,3782218,3839322,3951607,4399482,4513891,5081907,5219635,5688956,6149755,6263562,6468087,6923755,7036051,7297203,7379706,7542235,7694251,7715786,8084426,8127080,8256103,8308506,8314435,9050682,9142965,9224247,9391802,9627464,9752496,9772887,9977322,10058636,10113367,10320663,10405867,10454851,10625035,10830897,10971558,11549180,11700235,11950627,12501907,12579242,12750042,12774963,12893925,13057484,13307882,13416860,13753520,13807196,13859016,13997635,14040282,14040283,14205367,14369480,14370187,15008162,15211767,15219235,15472710,15481443,15591393,15690067,16082241,16100232,16163371,16165665,16504224,16797162,16845223,17094963,17243376,17266051,17363127,17733091,17909948,17992507,18112761,18263082,18377978,18528187,18567252,18700707,18737803,19011260,19145525,19380151,19398798,19429507,19766883,19777435,19803451,20224138,20829603,20835835,21094743,21287948,21843307,22351351,22410122,22809163,22813512,22974630,23090530,23366024,23535356,23732922,24299635,24318778,24506272,24523927,25003002,25138603,25393027,25398428,25407847,25579867,25585640,25665201,25743116,26091363,26286777,26612348,26696755,26768290,27074491,27281036,27350750,27443755,27448147,27569556,27685930,27708636,27912567,28076962,28256167,28320103,28771531,28783845,28934755,28954891,29159562,29678755,30448858,30702768,30782851,31159905,31566391,31812427,31823036,31958186,32014460,32036106,32052835,32121948,32462551,32547063,32752202,32792635,32820900,32886908,32921467,32932506,33223116,33237232,33591883,33686122,33804727,33809707,34015051,34121755,34227751,34369831,34384604,34540614,34721706,34785283,35006035,35008960,35614506,35747402,35912290,35977747,36159116,36607863,36619411,36775880,36783463,36859827,36917035,37051618,37095125,37161271,37391886,37407187,37796755,37865523,38017640,38416231,38417352,38463402,38528755,38600122,38825347,38893051,39031881,39072500,39117783,39194402,39351162,39385080,39452887,39549523,39594165,39829064,40338691,40457290,40613367,40828051,40864435,40920103,40946106,41301235,41358243,41364130,41372865,41748602,42007242,42010752,42028435,42233776,42254266,42494551,42595383,42769845,42875683,42946748,43044835,43094748,43160666,43219521,43677451,43827123,43884922,43949948,44131056,44204035,44300442,44308215,44514150,44660791,44807697,44808627,45239851,45356106,45461480,45483763,45488707,45621168,46234506,46370635,46466525,46788860,46887000,46903857,47262096,47378635,47480851,47481760,47489943,47512998,47732403,47812567,47850907,47859106,48548748,48592930,48596707,48700083,48818443,48818696,49037322,49076791,49469827,49561482,49636956,49647438,50012800,50434122,50668483,50800785,50820307,50829547,50864727,51130411,51144165,51217322,51323814,51394603,51479624,51653802,51655880,51676435,51705211,52059747,52342978,52389235,52447351,52536243,52573963,52747875,52777747,52958755,53044842,53087530,53169858,53249367,53416980,53669755,53933131,53960547,54083084,54187504,54242396,54553776,54880330,54921033,55415863,55644762,55662476,55759830,55837925,55873003,55938235,56042647,56082423,56106427,56146632,56264400,56362435,56487226,56645035,56847802,56854362,56894348,56978112,57019863,57075451,57209755,57651751,57914577,57985783,58112865,58311516,58325162,58430683,58457290,58844138,58857907,58867402,59181235,59367187,59442103,59477152,59640860,59811447,60015360,60051691,60073963,60477125,60609885,60860282,60864835,60885418,60960942,60965427,61284835,61372998,61378231,61530344,61646348,61884723,61902344,61975147,61987056,62011722,62485003,62648707,62785640,62867082,63164961,63297450,63550506,63611767,63631447,63705036,63801130,64016384,64039018,64100376,64231051,64286167,64403706,64636796,64650544,64770835,65048635,65301303,65856396,66023432,66146465,66204183,66328988,66380750,66532641,66654327,66850435,66882236,66911796,66929962,67005510,67125882,67127035,67180442,67228051,67517280,67634922,67756267,67823527,67974042,68180227,68223027,68533267,68651706,68732683,68945925,69221637,69640137,69645121,69735438,70148748,70152043,70421251,70633845,70938091,70960442,71017482,71469787,71472544,71485628,71569032,72018432,72112923,72138442,72154625,72177884,72185026,72218426,72325531,72572550,72625435,72679112,72731862,72865623,73037802,73084147,73165387,73361527,73541802,73542320,73853755,73956963,74064727,74276361,74534755,74670835,75038227,75085891,75235738,75299923,75342768,75956940,75957367,76119818,76561356,76972522,76983987,77047330,77234876,77410720,77475082,77506184,77517667,77725002,78058362,78190951,78356348,78493226,79139035,79205525,79375758,79391131,79408435,79656900,79745162,79812235,79881386,80002051,80220522,80406612,80515161,80552442,80978458,81020736,81060307,81117067,81277640,81764001,81834026,81959755,82283323,82493283,82554091,82631948,82735110,82904925,83321660,83743923,83764087,83952482,83956364,84511905,84598123,84604327,84632522,84760614,84780183,84917290,84967360,85269571,85693207,85788130,85811043,85826035,85882472,86048396,86585550,86631843,86658451,86675468,86754235,86943260,86975482,87087060,87150522,87194457,87647971,87812635,87821626,87860803,88007036,88134451,88180627,88250784,88431920,88604755,88624506,88689331,88971322,89132035,89264290,89304103,89441706,89547242,89605002,89866051,90081687,90146032,90189811,90483447,90578755,90697771,90869803,90941602,91084467,91148328,91151443,91437345,91638631,91794824,91889755,92115283,92322787,92338280,92357920,92408611,92456796,92479287,92892864,93235531,93327235,93368204,93384922,93469107,93718435,93896323,94308045,94312147,94341907,94407547,94494950,94629835,94845783,94949338,94966842,95019835,95038507,95046630,95263291,95290122,95588280,95704651,95719051,95732647,95774682,95905676,95972060,96617781,96696067,96782683,97166426,97439671,97533168,97567383,97610635,97760163,97900267,97996353,98254856,98351706,98720823,98828156,98850643,98980843,99058627,99081116,99200587,99282132,99485910,99493030,99598267,99606536,99671755,99985992,...,277086819782531013091170124711155201916497934908509855778388059237377513964076816877692779289276101614963109075536529146782679574702968349832934775052372059588919952853811297022733260857198838134400159143679535163873239934067605356062759920561645733073173460149467549722887123951690583729532215794782739469663446980798236272413669131823762548973798550227780273972771773617713416808401936464605612004816070178663819085918636646288081713168319725124015468593339503904811696729645256015474720340996554485815398609756478362216256781897412436053291616893442247703742587728793687576334782299899600192396923470702213048607784738248018485527771392217344023786505658112668206702232418292488968358069613051990800762462514598571175438456824887387254195743637680452568415612172483650262498845257384204600333922278166994816250313889499497715297322941345338719059793754688478519200644090052451770416841000966035386223324027570844588335685885851021465713386477503872579149200174878800510390043505892606240569322129030133217804991907723433963834428671728380193919278254129220727763410223181838832949132277231369742630534432031883413128126527086527499988460240326541021235238228507453632072038558265815157412608657787063970064297452346543009699707216929485232778753767743979120369783519233315222895339105488410697936607934723733924632938792584929658829898812037012780127951388389787890760193933622045506513519634647837616380389586389781383124538642598973246665980201496647766461281298058131083038920340598496910123782915436304741399453479171038633619465273032036690733992903802183815630445289083393735613019904978199206516720647044464254703645031322433821029752219286110115183177032466521848635797922203225028257524582507644635424252607875168916827269599919507547739879460972456841479886264935429924465781164380124847833371309563368631796712835142082476561669073760611629359602321768785782530431715128660392942380192635935028364497555157155354671306810745607424386545151323351160966406819870933129707248734418733969258269544378370659238020823506646080230202771504402213789585422146787328667018366720482869089241228293642030343233709467330409207291227827818934548306414092729022543384624680999569403155060419581853923941129123508406758659496720746088896324722513477430501728104589487978674417655652258248584953519293880181607635725551532361072752234530891635364653466273777100282216669204231889443200957682720024760127999149162784619582406670324208477184655018805631585266850506534872224898348086820875224326}
15654  4882284958970294876716407960351863085184701615318590635939232827: {78245,93894,109529,156470,172073,187764,203333,344102,438004,625720,703935,718934,733529,750864,826853,844722,875896,985383,1106393,1137413,1173075,1251280,1407690,1501536,1601753,1689228,1756133,1936756,1971929,2212502,2375608,2433029,2584454,2672559,2684404,2800613,2983973,3141302,3258473,3501929,3623608,3714533,3985395,4047833,4076559,4168793,4176244,4251088,4259429,4319813,4500773,4782474,5119096,5311529,5539334,5610329,5673327,5758983,5848793,5865976,5906102,6413093,6599223,6775876,7003973,7092329,7111195,7367414,7731302,7913513,8263529,8276054,8351416,8424031,8496233,8533434,8612393,8624116,8699429,8931173,9000374,9046853,9395343,9623333,9729604,9839608,10158850,10801094,11069559,11078008,11277029,11573679,11696054,11700329,11874614,12034330,12037673,12067576,12126639,12190620,12205913,12261929,12298996,12462759,12573295,12681029,12765254,13003328,13030516,13042793,13098329,13303096,13375529,13576023,13760884,13789829,13844933,14087703,14257193,14436475,14441196,14535734,14613029,14628744,14888102,14940293,14965983,15087954,15103493,15239894,15483173,15510233,15766502,15888233,15915173,15969029,16049753,16237829,16321855,16457337,16692953,16771075,17000056,17033284,17164454,17191900,17251973,17258995,17323770,17569829,17649113,17754713,17961850,18033494,18478688,18720376,18751529,18868863,19011929,19125063,19452773,19586226,19607813,19961823,20125290,20282356,20378693,20445271,20447654,20557529,20630280,20641924,20710794,20788524,20961302,20990213,21060423,21370073,21442988,21466976,21554220,22005632,22074329,22124393,22274393,22387435,22396216,22449029,22512243,22664102,22747493,22793284,22991168,23002934,23150836,23193029,23209065,23764075,23978693,24003113,24015974,24125093,24150348,24222533,24295529,24350776,24352502,24368453,24568687,24659429,24756336,24856214,24934276,25195743,25213913,25501529,25811813,25865064,26026502,26355844,26499113,26522693,26609935,26858102,26864922,26992613,27355334,27394623,27566967,27621929,27772804,27850878,28016294,28038233,28126324,28314329,28516890,28817513,28839254,28931333,29082578,29098197,29207530,29419195,29632553,29658614,29744933,29822054,30013829,30080873,30148502,30336207,30415013,30418016,30570329,30632840,30962102,31165733,31341029,31643896,31748035,31772102,31931922,31982050,32095094,32178895,32209829,32256374,32532329,32639429,32916953,33265435,33337336,33425753,33615183,33701414,33846233,34101295,34117829,34159493,34220268,34429529,34461945,34635795,34677593,34788484,34842329,34850431,35049036,35108933,35292713,35303034,35451734,35599383,36001253,36321893,36478167,36759408,36870854,36944848,36954554,36957029,37216756,37504503,37545029,37971653,38097642,38356133,38378460,38614674,38879416,39265829,39509033,39546329,39676613,39778795,39880553,39918522,40009829,40018075,40046693,40136774,40152435,40340453,40831529,40921554,40937024,41026125,41047913,41108635,41354334,41423813,41528895,41546540,41562954,41577778,41583833,41778533,42115443,42165029,42278774,42430694,42461033,42634073,42714808,42716359,42829264,42892133,42943529,42980755,43029029,43233413,43250393,43396084,43504133,43537829,43739343,43756073,43761200,43910008,44006213,44238053,44242502,44297488,44451929,44778329,44991302,45044671,45198895,45213893,45229913,45309893,45421529,45438854,45469253,45659429,45673287,45926873,45969850,46020713,46054152,46295608,46776293,47049029,47414066,47486008,47522050,47571929,47734554,47793029,47937279,47950502,48021690,48054159,48182922,48186473,48229829,48330713,48416873,48545573,48616793,48810484,48840625,49081829,49128303,49146436,49231350,49330362,49398759,49497029,49786330,49796933,49834674,49855848,49905029,50066213,50079593,50132102,50146373,50345513,50420534,50487364,50529183,50595173,50634329,50738393,50829029,51174953,51223136,51284536,51331423,51568502,51576906,51800153,51810921,51996614,52020329,52042508,52056773,52082559,52105253,52157044,52201829,52281302,52468216,52513440,52792220,52875113,52944473,52990502,53082329,53196329,53286953,53399513,53421759,53621103,53683435,53754329,53839051,53868435,53977334,54111653,54151156,54164551,54186329,54238674,54345029,54501929,54594808,54677894,54861029,54937435,54991913,55041893,55131353,55144324,55163820,55279013,55308329,55405529,55451671,55513814,55521113,55577427,55578473,55739429,55860953,55944293,56009656,56014336,56087829,56136233,56509529,56569226,56793844,56826850,56895494,57026460,57083993,57237893,57325673,57357353,57420329,57459664,57580934,57626028,57695103,57770503,57900183,57964073,58114853,58126694,58164329,58351493,58392293,58426073,58436164,58486075,58493033,58519351,58608750,58635499,58669829,58682693,58791603,58797029,58815833,58841408,58859429,58963673,58981829,59026743,59059673,59067256,59077620,59112773,59147813,59217029,59301929,59352200,59368553,59428613,59450213,59556293,59633753,59664233,59743596,59744836,59883653,59971433,59998553,60125573,60188633,60192773,60253913,60273893,60347993,60415529,60433829,60474808,60487529,60511973,60539429,60563033,60599333,60621929,60669029,60685935,60771929,60828224,60852329,60859973,60877529,60882473,61023370,61088873,61093829,61106693,61146329,61159529,61177829,61191173,61197413,61228073,61243433,61246553,61249829,61251929,61256453,61419159,61646008,62046195,62278214,62516000,62538476,62622903,63010863,63016128,63319924,63350664,63381399,63457574,63594223,63643204,63848102,64107734,64349530,64420122,64569850,64642122,64697347,64731664,64740999,64933444,65383096,65827383,65924922,66081976,66182608,66196584,66418502,66450663,66672374,66771225,66799094,67245496,67603855,67734380,67802995,67817911,67819636,68034159,68058374,68192220,68431752,68871736,69351759,69412996,69578095,69797174,69920294,70048324,70166102,70183290,70330500,70533734,70726456,70778102,70893144,70999156,71021894,71117935,71222640,71269497,71788659,71947396,72738368,72823122,72831974,72889395,73190102,73228044,73555983,74138774,74193016,74342223,74346440,74455434,74471157,74551075,74727014,74776564,74862176,74994007,75019200,75147163,75195014,75651183,75805816,75892694,75970816,76026484,76124102,76700102,76825983,76912930,76985721,77057935,77219436,77377930,77480703,77483820,77500454,77748688,78482050,78514467,78877778,79299883,79567263,79631295,79748596,79754787,80020480,80125470,80320471,80631302,80795995,80813180,81124626,81281256,81287236,81363594,81830664,81938534,82046534,82320495,82512964,82529290,82649408,82682296,82798502,82911235,83118614,83467143,83493714,83543414,83602795,83639745,83822776,84176294,84219948,84396600,84730839,84734008,84908102,84940048,85271703,85281543,85341522,85467168,85632854,85665091,85735814,85871608,85972999,86452502,86868562,87068404,87155719,87467274,87487743,87685935,87808528,87964502,88020842,88266207,88272244,88301103,88710188,88757654,88872436,89215728,89340680,89357035,89461290,89501176,90023040,90179896,90222355,90412502,90632056,90848890,90891302,90964036,91081814,91290423,91328127,91441413,91535608,91927900,92059497,92295516,92469522,92853516,92980584,93017583,93506054,93531664,94178460,94300623,94322534,94689976,94946175,95216054,95325759,95425376,95557554,95701695,96024576,96058527,96150564,96543595,96605559,96615734,96763400,96788102,96882730,96955194,96959894,96975816,97045574,97154164,97383736,97386854,97396831,97945435,98055736,98609284,98646134,98784594,98894102,99035148,99140774,99229306,99493482,99571125,...,415630229673796519636755187066732802874746902362764783667582088856066270946115225316539168933914152422444663613304793720174019362054452524749402162578558089383379929280716945534099891285798257201600238715519302745809859901101408034094139880842468599609760190224201324584330685927535875594298323692174109204495170471197354408620503697735643823460697825341670410959157660426570125212602904696908418007224105267995728628877954969432122569752479587686023202890009255857217545094467884023212080511494831728723097914634717543324385172846118654079937425340163371555613881593190531364502173449849400288595385206053319572911677107372027728291657088326016035679758487169002310053348627438733452537104419577986201143693771897856763157685237331080881293615456520678852623418258725475393748267886076306900500883417250492224375470834249246572945984412018008078589690632032717778800966135078677655625261501449053079334986041356266882503528828776532198570079716255808868723800262318200765585065258838909360853983193545199826707487861585150945751643007592570290878917381193831091645115334772758249423698415847054613945801648047825119692189790629791249982690360489811531852857342761180448108057837398722736118912986680595955096446178519814514549560825394227849168130651615968680554675278849972834343008658232616046904911902085600886949408188877394488244848218055519170191927082584681836140290900433068259770279451971756424570584379584672074686807963898459869998970302244971649691921947087196624558380510897745365185674373154457112099180218756557950429197909548055036100989355703275723445667933625090603419529857467298809775080970566696382055467546983650731544628328929165172774765548699782772953696883304837542386286873761466953136378911812753375240904399879261321609819191458685262219829397403144886698671746570187271750056964345052947695069252713123714842503610640917444039403482653178673795647572692990589413570288953902542546746332735733032006960216118411136579817726985026741449610229806399694560873101628100953887404316567555988857031235259969120345304157256603320684378133220180993000527550080724303633861842440463045514850564200995613810936841741728401822459621139093533815076937021499354104732590629372780885911693685262610137989245081119133344487083770216145752592156884231968011626483478387372877430278940820272411453588327298541609128351796337453046980199410665650423325003806347834164801436524080037140191998723744176929373610005486312715776982528208447377900275759802308337347522130231312836489}
15655  4903894610445303970418479558578143311193689632172686943776835056: {125192,140841,234705,250352,281646,516153,547505,657006,766409,782150,938580,1001152,1078401,1094870,1126296,1267083,1313844,1564100,1876920,2002048,2078657,2111535,2252304,2420945,2533842,2641301,2905134,2969510,3170657,3318753,3355505,3563412,3719702,3876681,4026606,4469894,4479209,4529510,4670081,4711953,5044937,5132729,5220305,5313860,5435412,6264366,6352049,6376632,6398870,7173711,7307489,7332470,7379273,7564436,7678644,7903214,8224889,8309001,8315333,8469845,8599457,8609657,8798964,8859153,9027782,9693257,9813029,10163814,10439270,10456193,10559129,10780145,11051121,11123513,11377912,11596953,11640209,11952161,12162005,12299510,12355733,12414081,12527124,12800151,12936174,13500561,13847510,14072102,14594406,14759412,14774981,14875049,15084470,15238275,15373745,15388502,15431572,15692081,16168852,16201641,16254160,16288145,16380329,16512206,16617012,16628870,16788161,17201105,17544081,17607953,17811921,18051495,18101364,18285930,18448494,18783604,19147881,19254928,19432001,19504992,19545774,19596689,19805993,19819337,19954644,20117272,20226734,20405333,20641326,20769473,20811734,20895737,20909702,21250070,21291605,21306929,21330389,21489875,21661794,21803601,21943116,22332153,22631931,22859841,23098360,23400470,23649753,23901254,25003814,25158484,25352945,25500084,25549926,25627109,25733873,25746681,25787850,25802405,25985655,26114968,26123561,26415233,26615764,26803735,26833720,26942775,27050241,27507040,27614392,27688409,27718032,27995270,28080564,28080566,28410734,28491605,28738960,28740374,28787081,28938545,29170169,29379339,30009941,30016324,30187935,30231137,30423534,30438470,30671481,30945420,30962886,31066191,31167845,31182786,31380134,31441953,32156417,32164482,32200464,32326742,32331330,32802473,32944805,33008448,33488249,33594324,33690446,33965297,33996153,34019489,34189926,34486752,34504401,34532102,34716005,34726254,35157905,35191913,35458961,35466182,35819896,35985014,36023961,36225522,36379733,36526164,36528753,36755956,37056374,37134504,37284321,37375457,37401414,37475606,38022520,38291050,38364833,38421257,38550929,38760302,38797596,38859014,39039753,39533766,39554870,39606902,39951041,39986993,40287153,40297383,40448276,40508657,40790273,40927577,41033001,41550257,41659206,41671670,41776317,42024441,42189486,42575896,42775335,43258881,43485605,43623867,43686614,43811295,44487921,44702702,44733081,44820244,44873969,45222753,45618326,45627024,45826913,45884501,45909689,45949260,46181060,46443153,46514213,46520945,46689689,46732048,47070712,47446673,47465844,47658153,47770457,47818793,47897883,47919881,47973075,48142641,48251333,48384561,48599270,48637556,48938609,49008449,49012544,49047854,49531121,50006004,50220833,50244053,50277206,50552121,50786054,50796856,50815694,51159734,51171280,51330402,51486232,51683849,51933175,52182726,52230137,52573554,52784633,52915457,52954551,53177601,53224696,53393510,53536580,53759381,53940257,54148982,54245105,54335033,54562072,54701500,54887510,54896294,55139112,55306281,55336649,55371860,55417272,55431831,55754633,55825134,56113733,56153924,56505761,56512334,56629481,56640206,56743049,57146463,57210209,57543062,57567690,57788177,57821729,57869510,57909782,57922011,58319124,58464341,58839809,59357510,59877783,60205161,60262769,60897716,61011689,61013105,61382331,61405536,61408049,61433045,61565702,61673249,61885649,61983233,62031501,62319810,62344431,62366667,62373701,62656913,62917073,63109205,63132782,63418161,63458849,63624854,63646041,63646072,63916372,64028920,64072212,64105670,64243896,64322513,64918889,64925102,65053135,65094126,65196305,65304881,65502953,65504404,65585270,65641800,65773816,65842934,65865012,65990275,66330089,66363753,66446232,66474464,67183766,67364273,67372244,67486953,67609454,67619414,67688945,68030102,68158281,68243510,68455502,68533721,68739662,68769208,68930405,68954775,69081228,69443412,69570566,70012070,70017920,70161221,70714649,70992305,71121099,71229012,71283075,71494804,71601831,71824580,71925753,71955494,72032535,72274383,72318232,72334949,72347009,72429113,73045205,73215726,73238822,73344929,73551760,73566926,73719654,73834070,73847025,73995543,74039381,74103236,74142257,74190250,74322542,74679495,74681045,74752011,74783772,74814374,75137657,75198153,75200801,75277889,75593510,75630801,75731046,75974561,76035280,76345049,76818881,76832462,76834704,76926804,77057510,77200244,77352753,77365359,77650694,77786102,77994921,78063762,78124433,78145000,78173095,78235566,78313529,78388804,78421953,78532193,78702324,78770160,78905774,78907409,79099046,79149905,79188330,79303049,79451333,79485753,79554005,79658128,80012489,80093657,80393513,80677382,80834417,80914580,80966001,80993861,81166805,81226734,81358011,81656102,81728870,81840206,81892212,82016841,82602470,82716486,82728260,82745730,82853729,82863713,83270721,83497204,84014484,84021504,84056870,84467552,84508532,84667975,84774545,84853839,84989102,85190766,85210769,85240275,85312313,85343241,85539690,85751366,85798769,85893496,86089670,86132489,86189496,86321332,86371401,86414129,86439042,86650673,86766245,86991113,87190041,87354902,87531041,87560405,87654246,87769844,87899896,87913125,88262112,88408070,88600884,88616430,88681541,88748945,89028300,89029217,89321582,89414057,89503061,89615394,89617254,89812949,89934245,90479702,90679169,90709637,90712212,90922960,90967526,90977414,91068089,91242336,91535055,91695749,92266337,92469012,92482121,92605051,92741270,92933050,93417321,93470705,93577720,93590609,93774000,93807714,93977849,94150961,94212689,94524192,94673513,94757270,94961702,94963520,94979886,95025996,95033105,95186361,95275769,95452373,95464806,95471729,95625134,95701814,95718212,95745113,95772153,96161601,96524295,96630183,96716777,96854775,96963183,97097496,97185860,97193414,97400166,97636886,97637392,97959497,98074644,98153582,98313737,98887383,98939654,98993921,99122964,99273912,99294876,99627753,99685745,99906641,...,554173639565062026182340249422310403832995869817019711556776118474755027928153633755385558578552203229926218151073058293565359149405936699665869550104744119177839905707622594045466521714397676268800318287359070327746479868135210712125519841123291466146346920298935099445774247903381167459064431589565478939326893961596472544827338263647525097947597100455560547945543547235426833616803872929211224009632140357327638171837273292576163426336639450248030937186679007809623393459290512030949440681993108971630797219512956724432513563794824872106583233786884495407485175457587375152669564599799200384793846941404426097215569476496036971055542784434688047573011316225336413404464836584977936716139226103981601524925029197142350876913649774774508391487275360905136831224344967300524997690514768409200667844556333989632500627778998995430594645882690677438119587509376957038401288180104903540833682001932070772446648055141689176671371771702042931426772955007745158298400349757601020780087011785212481138644258060266435609983815446867927668857343456760387838556508258441455526820446363677665898264554462739485261068864063766826256253054173054999976920480653082042470476457014907264144077116531630314825217315574127940128594904693086019399414433858970465557507535487958240739567038466630445790678210976821395873215869447467849265877585169859317659797624074025560255902776779575781520387867244091013027039269295675232760779172779562766249077285197946493331960402993295532922562596116262166077840681196993820247565830872609482798906958342077267238930546064073381467985807604367631260890578166787471226039809956398413033441294088928509407290062644867642059504438572220230366354064933043697271595844406450056515049165015289270848505215750337833654539199839015095479758921944913682959772529870859848931562328760249695666742619126737263593425670284164953123338147521223258719204643537571565060863430257320785884760385271870056728995110314310709342613621491214848773090302646702321932813639741866259414497468837467938516539088756741318476041647013292160460405543008804427579170844293574657334036733440965738178482456587284060686467418934660818414582455655637869096612828185458045086769249361999138806310120839163707847882258247016813517318993441492177792649445026954861003456209178975957348835311304516497169907038587760363215271451103064722145504469061783270729306932547554200564433338408463778886401915365440049520255998298325569239164813340648416954369310037611263170533701013069744449796696173641750448652}
15656  4925599155828444630638059850904702520177150466307818620505816720: {109543,156490,187788,203359,219058,312940,344146,375528,406666,422469,577903,688204,876008,985509,1137559,1173225,1251440,1407870,1437868,1467058,1501728,1509223,1642305,1653706,1689444,1751792,1955125,1970766,2212786,2274826,2346150,2502560,2525359,2815380,3003072,3203506,3378456,3512266,3532783,3800763,3873512,3943858,4350559,4357701,4425004,4454265,4712143,4751216,4866058,5162503,5168908,5342143,5345118,5368808,5579553,5601226,5611063,5789983,5967946,6039909,6057823,6282604,6516946,6642325,6680263,6704841,6794265,6945943,7003858,7034359,7247216,7429066,7970790,8095666,8153118,8337586,8352488,8502176,8518858,8639626,9001546,9396549,9455545,9564948,9598305,9653359,9955673,10083559,10238192,10597423,10623058,10853383,10938559,10998705,11078668,11220658,11346654,11448103,11517966,11697586,11701903,11731952,11812204,11854821,12291583,12710623,12826186,12961183,13198446,13541673,13543303,13551752,14007946,14184658,14222390,14734828,15245721,15462604,15512359,15658905,15827026,15917359,16320559,16527058,16552108,16702832,16721959,16848062,16992466,17066868,17224786,17248232,17398858,17602613,17836303,17862346,17994343,18000748,18093706,18449265,18790686,19246666,19289465,19404261,19459208,19679216,20211065,20317700,20713423,20771265,21018559,21108153,21602188,21851743,21891609,22139118,22156016,22554058,22626705,22825183,22850597,23082753,23147358,23196343,23392108,23400658,23479505,23639359,23749228,24006559,24068660,24075346,24135152,24162593,24253278,24371959,24381240,24411826,24523858,24597992,24662983,24735559,24768309,24925518,24943305,25146590,25362058,25530508,25744063,26006656,26061032,26085586,26196658,26526559,26606192,26751058,27152046,27160303,27428895,27521768,27579658,27649183,27672741,27689866,28175406,28341463,28514386,28872950,28882392,28958359,29035721,29071468,29226058,29257488,29318661,29366383,29776204,29880586,29931966,30040663,30175908,30206986,30340101,30479788,30961989,30966346,31020466,31217601,31236223,31342409,31364553,31448105,31533004,31694863,31776466,31830346,31875105,31938058,32099506,32214703,32475658,32492691,32601559,32643710,32914674,33269705,33385906,33494143,33542150,33872359,34000112,34066568,34328908,34383800,34434823,34503946,34517990,34647540,34744783,34806559,34868263,35100705,35139658,35298226,35481343,35509426,35663863,35851881,35923700,36026959,36066988,36327559,36566743,36957376,37159663,37253909,37440752,37503058,37505721,37511959,37520405,37737726,38023858,38151103,38250126,38323903,38324889,38610463,38681775,38724583,38905546,39008623,39172452,39215626,39571303,39923646,40250580,40564712,40757386,40890542,40892359,40895308,41115058,41186873,41260560,41283848,41421588,41577048,41922604,41980426,41992905,42120846,42120849,42537343,42616101,42740146,42885976,42933952,42950623,43053223,43108440,43110561,43257559,43460743,43511359,44011264,44148658,44212423,44248786,44447249,44508559,44548786,44774870,44792432,44802103,44898058,44996359,45024486,45050453,45237559,45328204,45494986,45586568,45635301,45657705,45667183,45944945,45982336,46005868,46301672,46370263,46386058,46418130,46444329,46571609,46774179,47070201,47528150,47594983,47741813,47771959,47816023,47957386,48006226,48031948,48246723,48250186,48252703,48300696,48445066,48490113,48496995,48591058,48639559,48701552,48705004,48736906,49020583,49104463,49137374,49229743,49318858,49512672,49712428,49868552,50088559,50248543,50391486,50427826,50535669,50560345,50838223,51003058,51260359,51284889,51623626,51730128,51798153,52042063,52053004,52089381,52711688,52721959,52896559,52998226,53045386,53103703,53199273,53219870,53240359,53274343,53610223,53716204,53729844,53977521,53985226,54260383,54338283,54355423,54512383,54710668,54789246,55002559,55133934,55243858,55445359,55545608,55584561,55690313,55701756,55759783,56025305,56032588,56076466,56102121,56120143,56147359,56213409,56252648,56520823,56628658,56676559,56702263,56955343,57033780,57273583,57321463,57436575,57439903,57552089,57635026,57648559,57678508,57726325,57862666,57961543,58069903,58091359,58140453,58165156,58196394,58288521,58415060,58682263,58838390,59054503,59160559,59177983,59265106,59300649,59317228,59332305,59410353,59430703,59489866,59590183,59636623,59644108,59651959,59786743,60027658,60078559,60143359,60161746,60173057,60206359,60297004,60504943,60536263,60635983,60664409,60672414,60683143,60788983,60796945,60830026,60836032,60899359,60928303,61066903,61088359,61140658,61154383,61162663,61226959,61241863,61265680,61266559,61276063,61924204,61975397,62331466,62488809,62507505,62682058,63278453,63284229,63287792,63496070,63544204,63863844,63964100,64190188,64357790,64419658,64512748,65064658,65278858,65529921,65533793,65833906,66530870,66674672,66851506,66920725,67054053,67230366,67402828,67692466,68202590,68235658,68318986,68376875,68427489,68440536,68859058,68923890,69159233,69214825,69271590,69355186,69576968,69684658,69700862,70098072,70192405,70217866,70585426,70606068,70903468,71198766,72002506,72643786,72898905,72956334,73518816,73571781,73741708,73889696,73909108,73914058,74433512,75009006,75090058,75156809,75415809,75943306,76122145,76179081,76195284,76223541,76460501,76712266,76739601,76756920,76912409,76995603,77229348,77758832,78274089,78531658,78860331,79018066,79092658,79353226,79557590,79761106,79837044,79895465,80019658,80036150,80090265,80093386,80273548,80304870,80680906,81223473,81663058,81843108,81874048,81880505,82052250,82095826,82217270,82331265,82344441,82708668,82847626,83057790,83093080,83125908,83155556,83167666,83557066,83737701,84215305,84230886,84330058,84557548,84768501,84861388,84922066,84960309,85268146,85429616,85432718,85658528,85784266,85887058,85961510,86058058,86314593,86351535,86466826,86500786,86792168,86804265,86864673,87008266,87075658,87478686,87512146,87522400,87820016,88012426,88476106,88485004,88594976,88629281,88903858,89036265,89368505,89556658,89780725,89982604,90089342,90397790,90427786,90459826,90619786,90843058,90877708,90938506,91318858,91346574,91853746,91939700,92041426,92108304,92348553,92591216,92629045,93479715,93552586,94098058,94645397,94699173,94828132,94924193,94972016,95044100,95143858,95437281,95469108,95586058,95743337,95874558,95901004,96043380,96108318,96158505,96365844,96372946,96459658,96500305,96661426,96833746,97091146,97233586,97387653,97409333,97620968,97641189,97681250,97986005,98163658,98256606,98292872,98377905,98462700,98660724,98764401,98797518,98994058,99565109,99572660,99593866,99669348,99711696,99810058,99920953,...,831260459347593039273510374133465605749493804725529567335164177712132541892230450633078337867828304844889327226609587440348038724108905049498804325157116178766759858561433891068199782571596514403200477431038605491619719802202816068188279761684937199219520380448402649168661371855071751188596647384348218408990340942394708817241007395471287646921395650683340821918315320853140250425205809393816836014448210535991457257755909938864245139504959175372046405780018511714435090188935768046424161022989663457446195829269435086648770345692237308159874850680326743111227763186381062729004346899698800577190770412106639145823354214744055456583314176652032071359516974338004620106697254877466905074208839155972402287387543795713526315370474662161762587230913041357705246836517450950787496535772152613801001766834500984448750941668498493145891968824036016157179381264065435557601932270157355311250523002898106158669972082712533765007057657553064397140159432511617737447600524636401531170130517677818721707966387090399653414975723170301891503286015185140581757834762387662183290230669545516498847396831694109227891603296095650239384379581259582499965380720979623063705714685522360896216115674797445472237825973361191910192892357039629029099121650788455698336261303231937361109350557699945668686017316465232093809823804171201773898816377754788976489696436111038340383854165169363672280581800866136519540558903943512849141168759169344149373615927796919739997940604489943299383843894174393249116761021795490730371348746308914224198360437513115900858395819096110072201978711406551446891335867250181206839059714934597619550161941133392764110935093967301463089256657858330345549531097399565545907393766609675084772573747522933906272757823625506750481808799758522643219638382917370524439658794806289773397343493140374543500113928690105895390138505426247429685007221281834888078806965306357347591295145385981178827140577907805085093492665471466064013920432236822273159635453970053482899220459612799389121746203256201907774808633135111977714062470519938240690608314513206641368756266440361986001055100161448607267723684880926091029701128401991227621873683483456803644919242278187067630153874042998708209465181258745561771823387370525220275978490162238266688974167540432291505184313768463936023252966956774745754860557881640544822907176654597083218256703592674906093960398821331300846650007612695668329602873048160074280383997447488353858747220010972625431553965056416894755800551519604616674695044260462625672978}
15657  4947399008539336240145814718181361307415961401877811182717336747: {234735,250384,281682,328587,391175,469410,500704,516219,563292,609999,766507,860255,1032306,1095010,1314012,1532818,1564300,1797335,1877160,2002304,2111805,2156802,2189740,2200587,2252592,2480559,2534166,2627688,2922623,2956149,3128200,3319179,3389323,3412239,3519225,3753840,4004096,4157314,4223070,4504608,4697707,4805259,4841890,5067684,5268399,5282602,5531255,5638459,5810268,5915787,5939020,6341314,6461135,6637506,6711010,7126824,7299087,7308427,7439404,7506967,7753362,7853255,8017677,8053212,8401839,8720959,8939788,8951919,8958418,9059020,9192523,9340162,9423906,9775419,10089874,10265458,10440610,10505787,10627720,10870824,10967503,11143599,11857783,11956185,12143499,12229677,12357319,12506379,12528732,12704098,12753264,12778287,12797740,12959439,13502319,13848335,14347422,14614978,14664940,14758546,14765255,15092203,15128872,15357288,15627743,15806428,15934587,16449778,16618002,16630666,16830987,16939690,17019981,17026807,17198914,17219314,17276949,17546379,17597928,17718306,18055564,18418535,18791783,18993239,19239279,19328255,19386514,19626058,19797669,20327628,20690135,20772139,20809399,20878540,20912386,21011919,21118258,21236903,21276987,21333127,21333585,21523243,21560290,22102242,22247026,22500935,22755824,22803403,23193906,23280418,23354059,23528663,23740539,23904322,24081547,24324010,24599020,24711466,24790587,24828162,25054248,25272093,25397125,25399583,25488699,25600302,25837179,25872348,26098287,26638559,26793519,27001122,27002735,27140559,27695020,28144204,28186029,28642063,28869999,29188812,29240135,29445119,29518824,29549962,29686535,29686859,29750098,29808247,29827367,30001463,30085825,30168940,30412759,30454523,30476550,30747490,30777004,30863144,31384162,31913135,32316043,32337704,32403282,32508320,32576290,32760658,33024412,33208677,33234024,33257740,33576322,33831087,34402210,34721037,35088162,35100987,35116663,35215906,35494123,35623842,36102990,36113019,36123367,36202728,36339335,36379917,36571860,36617739,36785787,36896988,37220255,37388277,37428043,37525229,37567208,37719885,38043087,38099735,38211947,38295762,38509856,38766559,38864002,39009984,39091548,39128379,39193378,39294987,39416255,39503519,39611986,39638674,39888247,39909288,40126587,40234544,40453468,40513963,40728069,40810666,41282652,41369487,41534799,41538946,41623468,41791474,41819404,42263109,42500140,42583210,42613858,42660778,42771579,42911135,42979750,43122923,43309425,43323588,43607202,43634983,43682759,43839087,43886232,43927847,44503019,44664306,44820879,44897949,44904625,45083735,45263862,45310479,45426343,45478583,45488447,45500543,45719682,46122727,46196720,46449519,46530699,46800940,47047823,47299506,47664699,47745519,47802508,47907087,48149259,48602407,48713487,48783199,48831047,48965565,49221067,49372011,50007628,50078859,50313225,50316968,50705890,51000168,51099852,51119135,51254218,51467746,51493362,51575700,51604810,51718607,51755919,51776985,51971310,52229936,52247122,52403255,52709487,52830466,52947339,53231528,53264139,53452223,53607470,53667440,53885550,54100482,54159079,55014080,55228784,55376818,55436064,55990540,56161128,56161132,56254587,56513119,56606589,56658023,56660255,56821468,56983210,57035787,57375189,57477920,57480748,57507335,57574162,57877090,58340338,58358319,58374859,58396283,58758678,58823439,58873103,59408747,59478767,59885469,60019882,60032648,60039935,60368363,60375870,60462274,60570827,60847068,60876940,60879847,60881255,61136079,61335813,61342962,61519319,61672587,61846843,61890840,61925772,62132382,62140535,62335690,62365572,62381839,62555863,62574263,62760268,62883906,62970639,63181269,64110219,64303019,64312834,64328964,64400928,64653484,64662660,65042603,65066255,65129323,65604946,65889610,65891839,66016896,66222987,66373179,66823179,66976498,67059967,67145255,67162305,67188648,67208327,67347087,67380892,67536729,67841099,67930594,67992306,68038978,68242479,68379852,68388335,68698219,68750567,68973504,69008802,69064204,69432010,69452508,69579087,69627195,70040735,70181243,70315810,70383826,70917922,70932364,71292225,71639792,71936079,71970028,72009339,72047922,72098135,72375279,72451044,72667599,72706445,72759466,72801607,72886567,72886587,73018825,73052328,73057506,73105359,73369943,73511912,73706061,73978287,74049079,74112748,74146535,74269008,74555135,74568642,74750914,74802828,74877623,74951212,75371255,75587229,75641739,75943147,76045040,76504587,76582100,76729666,76842514,77101858,77405255,77435439,77520604,77595192,77718028,78079506,79067532,79109740,79213804,79430255,79497339,79568079,79829805,79902082,79955125,79973986,80237735,80574306,80594766,80640935,80844943,80896552,80977839,81017314,81044423,81580546,81855154,82066002,82099723,82183869,82304567,82533959,82658119,82700901,82865787,83100514,83318412,83343340,83552634,84048882,84114699,84253535,84378972,84752063,84942987,85151792,85418347,85550670,86006263,86452539,86517762,86793999,86971210,87247734,87294591,87373228,87622590,87883487,88257585,88352887,88629335,88806059,88897659,88975842,89234799,89405404,89425723,89466162,89640488,89747938,90041487,90225967,90242619,90445506,90893447,91008621,91074389,91236652,91245039,91254048,91274827,91653826,91710987,91737287,91769002,91819378,91898520,92177135,92346623,92362120,92386385,92886306,93028426,93041890,93379378,93409019,93464096,93497199,94023087,94141424,94366943,94487903,94764523,94893346,94931688,95169163,95244105,95316306,95540914,95637586,95795766,95839762,95946150,96265723,96285282,96502567,96502666,96536685,96629487,96769122,97198540,97275112,97342519,97596987,97877218,97918287,97925543,98016898,98025088,98095708,98190719,98750859,99062242,99389227,99630647,99796305,...,1246890689021389558910265561200198408624240707088294351002746266568198812838345675949617506801742457267333990839914381160522058086163357574248206487735674268150139787842150836602299673857394771604800716146557908237429579703304224102282419642527405798829280570672603973752992057782607626782894971076522327613485511413592063225861511093206931470382093476025011232877472981279710375637808714090725254021672315803987185886633864908296367709257438763058069608670027767571652635283403652069636241534484495186169293743904152629973155518538355962239812276020490114666841644779571594093506520349548200865786155618159958718735031322116083184874971264978048107039275461507006930160045882316200357611313258733958603431081315693570289473055711993242643880846369562036557870254776176426181244803658228920701502650251751476673126412502747739718837953236054024235769071896098153336402898405236032966875784504347159238004958124068800647510586486329596595710239148767426606171400786954602296755195776516728082561949580635599480122463584755452837254929022777710872636752143581493274935346004318274748271095247541163841837404944143475359076569371889373749948071081469434595558572028283541344324173512196168208356738960041787865289338535559443543648682476182683547504391954847906041664025836549918503029025974697848140714735706256802660848224566632183464734544654166557510575781247754045508420872701299204779310838355915269273711753138754016224060423891695379609996910906734914949075765841261589873675141532693236095557023119463371336297540656269673851287593728644165108302968067109827170337003800875271810258589572401896429325242911700089146166402640950952194633884986787495518324296646099348318861090649914512627158860621284400859409136735438260125722713199637783964829457574376055786659488192209434660096015239710561815250170893035158843085207758139371144527510831922752332118210447959536021386942718078971768240710866861707627640238998207199096020880648355233409739453180955080224348830689419199083682619304884302861662212949702667966571093705779907361035912471769809962053134399660542979001582650242172910901585527321389136544551692602986841432810525225185205467378863417280601445230811064498062314197771888118342657735081055787830413967735243357400033461251310648437257776470652695904034879450435162118632290836822460817234360764981895624827385055389012359140940598231996951269975011419043502494404309572240111420575996171232530788120830016458938147330947584625342133700827279406925012042566390693938509467}
15658  4969294583784507180540163864739095010293185218072827515761953963: {172117,219086,265897,312980,375576,406718,422523,438116,453241,625880,688292,704115,751056,813332,844938,1155806,1376408,1385641,1548459,1642515,1663957,1752016,1955375,1971018,2034037,2275118,2299227,2346450,2502880,2737175,2815740,2875736,2934116,2954197,3003456,3018446,3045817,3235203,3284610,3307412,3378888,3503584,3801249,3910250,3941532,3958057,4320937,4425572,4549652,4692300,5005120,5050718,5492341,5630760,5939641,6006144,6235971,6334605,6407012,6562837,6756912,7024532,7065566,7262835,7423775,7601526,7710841,7747024,7886377,7887716,7923903,8411257,8701118,8715402,8850008,8908530,9299255,9424286,9502432,9511971,9625897,9732116,9956259,10066515,10325006,10337816,10484857,10684286,10690236,10737616,10741141,11159106,11174735,11202452,11222126,11323775,11336617,11579966,11630043,11935892,12079818,12115646,12265237,12565208,13033892,13101877,13237763,13284650,13360526,13409682,13434517,13437627,13588530,13848697,13891886,14007716,14010243,14068718,14135859,14494432,14858132,14917141,15080437,15134811,15398187,15660915,15941580,15973417,15997175,16134841,16191332,16306236,16675172,16704976,17004352,17037716,17279252,18003092,18331175,18521641,18793098,18911090,19056147,19129896,19196610,19306718,19758035,19911346,20076841,20167118,20476384,20614357,20996137,21194846,21224341,21246116,21521133,21706766,21877118,21922467,21997410,22130677,22137819,22157336,22441316,22505257,22569455,22579957,22693308,22896206,23035932,23395172,23403806,23463904,23624408,23709642,24583166,24674667,24927003,24945999,25409535,25421246,25652372,25798371,25828971,25866937,25922366,26098175,26152057,26223157,26396892,26577459,26718841,27005251,27070741,27083346,27086606,27103504,27769141,28015892,28253737,28295491,28369316,28444780,29079771,29439087,29469656,29686357,30022777,30491442,30748775,30925208,31024718,31317810,31368579,31654052,31677387,31808341,31834718,32003497,32128283,32262697,32340435,32641118,32871307,33054116,33104216,33153363,33224437,33370539,33405664,33414841,33443918,33696124,33984932,34044841,34133736,34169977,34314943,34449572,34496464,34543657,34618775,34790859,34797716,34920627,34976341,35180255,35205226,35405497,35672606,35724692,35856483,35988686,36001496,36187412,36373177,36486015,36898530,37067199,37242243,37581372,37673641,37711175,37964341,38080117,38400453,38471255,38493332,38578930,38808522,38825641,38918416,39109141,39358432,39558997,40059577,40390057,40422130,40501683,40635400,41043241,41280515,41426846,41542530,41572175,41579641,41739157,42037118,42213817,42216306,42889141,43043257,43204376,43552297,43703486,43783218,44004277,44027347,44054137,44278236,44312032,44324943,44401141,44625147,44744617,45108116,45253410,45468757,45650366,45701194,45706537,45714825,46121235,46165506,46294716,46392686,46577587,46639657,46784216,46801316,46959010,47076243,47230741,47278718,47498456,47677141,48013118,48137320,48150692,48203317,48270304,48325186,48506556,48548341,48604923,48743918,48761641,48762480,48823652,48864435,49047716,49099177,49140987,49195984,49325966,49471118,49514617,49536618,49851036,49886610,50084137,50293180,50364483,50566835,50724116,51061016,51370741,51488126,51603315,51633577,52013312,52029335,52112341,52122064,52171172,52274255,52393316,52528567,52578937,52632243,52823859,52825141,53053118,53102197,53125175,53212384,53435763,53502116,53575957,53840341,54154485,54228277,54304092,54320606,54543637,54764963,54857790,55043536,55159316,55298366,55329877,55345482,55379732,55388341,55761337,55901557,55957141,56284597,56350812,56549557,56682926,56832697,57028772,57180457,57204757,57443643,57443797,57721141,57745900,57764784,57878137,57916718,58053241,58071442,58142936,58296003,58452116,58501175,58514976,58629817,58637322,58707577,58732766,58790067,58915477,59007097,59388841,59417979,59458011,59552408,59582377,59753135,59761172,59780341,59863932,59924341,59993641,60081326,60215797,60289237,60351816,60413972,60450517,60461497,60536341,60567337,60680202,60791977,60911317,60933241,60959576,61176277,61210297,61213717,61215999,61229737,61235641,61260841,61288057,61293097,61293241,61923978,61932692,62040932,62308419,62435202,62472446,62509535,62684818,62687211,62729106,62896210,63066008,63389726,63552932,63660692,63750210,63874815,63876116,63920787,63991167,64199012,64322923,64429406,64469625,64951316,64985382,65203118,65287420,65410803,65829348,66539410,66771812,66988286,66996459,67084300,67125707,67744718,67895793,68000224,68133136,68579523,68657816,68767600,68869646,69007892,69035980,69295080,69489566,69613118,69736526,69988175,70201410,70201415,70279316,70596452,70784483,70949259,70962686,71018852,71026835,71327726,71703762,71847400,71850935,72053918,72133976,72655118,73133486,73243651,73914752,74319326,74507818,74881504,75006116,75011442,75023918,75040810,75475452,76047716,76058835,76096175,76302206,76500252,76647806,76649778,76677191,76881327,77201619,77220926,77240043,77363550,77407215,77449166,77811092,77956965,78017246,78344904,78370683,78431252,78435427,78450335,79142606,79245699,79847292,80411205,80501160,80816855,80828325,81129424,81150723,81514772,81733639,81781084,81784718,81790616,82230116,82373746,82521120,82567696,82843176,83065227,83154096,83845208,83960852,83985810,84226115,84241692,84241698,84604223,85074686,85115723,85232202,85474815,85480292,85771952,85867904,85901246,86106446,86216880,86221122,86330255,86361243,86515118,86815635,86921486,87022718,87510507,88022528,88138017,88297316,88424846,88497572,88665455,88894498,89017118,89097572,89549740,89584864,89604206,89796116,89962535,89992718,90029823,90048972,90100906,90475118,90563805,90656408,90693411,90782219,90989972,91173136,91270602,91315410,91334366,91889890,91964672,92011736,92014443,92603344,92640935,92740526,92772116,92836260,92888658,93143218,93198573,93503535,93548358,93689015,94140402,94325859,95056300,95189966,95483626,95543918,95632046,95727625,95914772,96012452,96063896,96469251,96493446,96500372,96505406,96601392,96890132,96900755,96980226,96993990,97147535,97182116,97279118,97403104,97410008,97473812,98041166,98208926,98269367,98274748,98407419,98459486,98637716,98834415,98887175,99017255,99025344,99424856,99737104,99933779,...,1662520918695186078547020748266931211498987609451059134670328355424265083784460901266156675735656609689778654453219174880696077448217810098997608650314232357533519717122867782136399565143193028806400954862077210983239439604405632136376559523369874398439040760896805298337322743710143502377193294768696436817980681884789417634482014790942575293842791301366681643836630641706280500850411618787633672028896421071982914515511819877728490279009918350744092811560037023428870180377871536092848322045979326914892391658538870173297540691384474616319749701360653486222455526372762125458008693799397601154381540824213278291646708429488110913166628353304064142719033948676009240213394509754933810148417678311944804574775087591427052630740949324323525174461826082715410493673034901901574993071544305227602003533669001968897501883336996986291783937648072032314358762528130871115203864540314710622501046005796212317339944165425067530014115315106128794280318865023235474895201049272803062340261035355637443415932774180799306829951446340603783006572030370281163515669524775324366580461339091032997694793663388218455783206592191300478768759162519164999930761441959246127411429371044721792432231349594890944475651946722383820385784714079258058198243301576911396672522606463874722218701115399891337372034632930464187619647608342403547797632755509577952979392872222076680767708330338727344561163601732273039081117807887025698282337518338688298747231855593839479995881208979886598767687788348786498233522043590981460742697492617828448396720875026231801716791638192220144403957422813102893782671734500362413678119429869195239100323882266785528221870187934602926178513315716660691099062194799131091814787533219350169545147495045867812545515647251013500963617599517045286439276765834741048879317589612579546794686986280749087000227857380211790780277010852494859370014442563669776157613930612714695182590290771962357654281155815610170186985330942932128027840864473644546319270907940106965798440919225598778243492406512403815549617266270223955428124941039876481381216629026413282737512532880723972002110200322897214535447369761852182059402256803982455243747366966913607289838484556374135260307748085997416418930362517491123543646774741050440551956980324476533377948335080864583010368627536927872046505933913549491509721115763281089645814353309194166436513407185349812187920797642662601693300015225391336659205746096320148560767994894976707717494440021945250863107930112833789511601103039209233349390088520925251345956}
15659  4991286298565057305914969873531580511405298445645561658802468079: {328629,391225,469470,500768,547645,563364,610077,657174,782350,860365,938820,1001408,1016665,1032438,1126584,1204357,1219998,1267407,1533014,1720510,1733709,2064612,2190020,2516269,2628024,2956527,3065636,3128600,3266461,3412677,3454009,3519675,3594670,3667645,3754320,4004608,4134265,4223610,4313604,4379480,4401174,4505184,4527669,4926915,4961118,4982461,5068332,5255376,5531965,5687065,5845246,5865375,5912298,6107029,6256400,6638358,6778646,6824478,7038450,7038757,7507680,7576077,7743757,8008192,8008765,8065717,8314628,8446140,8780665,9009216,9045589,9395414,9610518,9683780,9859645,10135368,10409869,10536798,10565204,10598349,10873897,10994557,11062510,11276918,11402289,11483197,11620536,11831574,11878040,12165145,12682628,12922270,13051677,13073103,13120441,13275012,13362795,13422020,13529461,14003065,14136429,14253648,14598174,14616854,14878808,14919865,15013934,15232261,15487509,15506724,15629749,15706510,16026429,16035354,16106424,16157497,16292365,16592917,16738659,16803678,16833189,17369949,17441918,17466301,17509645,17879576,17903838,17916836,18118040,18119727,18173469,18291757,18385046,18572665,18680324,18847812,18995677,19321129,19387669,19550838,19926975,20040789,20114523,20179748,20239165,20382795,20530916,20671357,20837829,20843965,20881220,21002581,21011574,21103077,21239629,21255440,21297145,21599065,21741648,21935006,21953749,22287198,22503865,22701517,23375077,23636377,23715566,23912370,23991829,24286998,24459354,24714638,25012758,25057464,25408196,25506528,25556574,25595480,25740517,25785949,25918878,26296741,26557645,26683897,27004638,27059557,27541561,27696670,28051645,28189647,28366635,28475701,28694844,28794915,28960077,28966189,29229956,29243965,29329880,29517092,29530510,29867019,30017689,30184406,30250677,30257744,30530809,30714576,30794797,31255486,31464949,31501309,31612856,31792269,31869174,32035981,32065465,32560149,32815677,32899556,32996115,33236004,33261332,33336469,33482317,33661974,33879380,34039962,34053614,34344309,34397828,34438628,34542997,34553898,34798777,35019865,35092758,35105709,35195856,35436612,35461645,35555975,35564463,35627341,35991709,36111128,36837070,36874749,37583566,37637221,37803829,37986478,38131869,38478558,38656510,38757469,38773028,38883549,38926189,39243769,39252116,39567565,39595338,40111321,40625019,40629909,40655256,40852477,40936189,41317645,41380270,41544278,41561149,41618798,41757080,41824772,42023838,42120155,42236516,42473806,42481165,42553974,42666254,42667170,42718597,43046486,43061965,43120580,43497145,43510357,44204484,44494052,44584717,44655865,44678389,45001870,45234265,45511648,45606806,45737163,45838837,46379149,46387812,46537077,46560836,46685977,46708118,46976715,47057326,47481078,47573497,47752077,47808644,48116665,48163094,48615037,48648020,48961677,49095829,49198040,49422932,49543909,49581174,49656324,50108496,50165877,50169397,50544186,50794250,50799166,50840029,50875069,50977398,51200604,51674358,51744696,51860317,52108357,52196574,52243669,52582861,52594477,52807839,53277118,53339629,53459197,53508909,53587038,53773369,53983029,54002244,54005470,54098221,54281118,55182757,55347795,55390040,56288408,56372058,56385145,57284126,57739998,57803149,57868395,58008277,58212783,58377624,58480270,58501645,58732861,58890238,59037648,59099924,59373070,59373718,59421829,59500196,59616494,59654734,60002809,60002926,60075589,60171650,60188365,60337880,60376261,60633195,60825518,60909046,60953100,61029565,61309645,61494980,61553689,61554008,61726288,62140269,62313795,62768324,62866475,62933317,63055677,63097897,63117229,63170809,63324459,63405145,63656461,63826270,64632086,64675408,64806564,65011549,65016640,65152580,65213965,65293261,65491645,65521316,65555229,65673397,65674827,66048824,66417354,66468048,66476269,66515480,66874789,66877645,67152644,67247437,67662174,67880115,68046757,68475549,68551477,68551791,68804420,68949145,69013789,69224665,69248259,69442074,69589029,69935941,69954109,70176324,70201974,70233326,70300729,70431812,70438515,70448569,70516237,70918077,70988246,71247684,71285965,71344429,71566789,72019677,72143797,72182375,72205980,72226038,72246734,72405456,72487779,72678670,72759834,73065145,73112509,73115877,73143720,73235478,73364557,73379497,73571574,73630717,73793976,73892149,73988949,74206677,74304927,74440510,74701465,74776554,74829915,74856086,75050458,75067861,75115189,75134416,75439770,75517465,75994477,76086174,76199470,76423894,76453369,76591524,76838869,77013277,77019712,77232189,77415865,77533118,77551165,77728004,78019968,78183096,78256758,78386756,78589974,78832510,79007038,79053277,79223972,79277348,79324357,79441165,79575865,79579677,79776494,79818576,79845145,80041597,80206141,80248765,80253174,80469088,80510269,80906936,81027926,81054997,81189145,81217477,81448261,81456138,81480909,81565609,81609275,81621332,82001701,82286685,82565304,82738974,82941469,82947549,83018223,83069598,83077892,83152861,83246936,83464765,83582948,83638808,83855375,84055909,84526218,84763261,85000280,85024389,85166420,85227716,85233757,85302649,85321556,85516621,85543158,85822270,85959500,86245846,86259865,86294975,86618850,86647176,86875077,86996749,87107163,87214404,87269966,87365518,87678174,87772464,87849145,87855694,87955983,88099149,88245565,88773565,89006038,89328612,89526169,89641758,89795898,89809250,89901757,90121989,90167470,90527724,90579061,90620958,90852686,90862717,90957166,90976894,91001086,91020303,91092757,91439364,91749289,92245454,92393440,92462557,92787577,92885967,92899038,92991277,93061398,93601880,93652803,93708669,93757645,94003357,94027227,94093659,94095646,94175269,94344315,94599012,94698637,95059645,95084589,95329398,95477017,95491038,95605016,95625315,95743669,95756197,95814174,96298518,96644109,96820729,97204814,97248877,97263865,97426974,97478073,97566398,97662094,97804677,97807309,97852189,97931130,98039065,98057029,98339509,98442134,98744022,99097069,99351349,99522457,99809115,...,2493781378042779117820531122400396817248481414176588702005492533136397625676691351899235013603484914534667981679828762321044116172326715148496412975471348536300279575684301673204599347714789543209601432293115816474859159406608448204564839285054811597658561141345207947505984115565215253565789942153044655226971022827184126451723022186413862940764186952050022465754945962559420751275617428181450508043344631607974371773267729816592735418514877526116139217340055535143305270566807304139272483068968990372338587487808305259946311037076711924479624552040980229333683289559143188187013040699096401731572311236319917437470062644232166369749942529956096214078550923014013860320091764632400715222626517467917206862162631387140578946111423986485287761692739124073115740509552352852362489607316457841403005300503502953346252825005495479437675906472108048471538143792196306672805796810472065933751569008694318476009916248137601295021172972659193191420478297534853212342801573909204593510391553033456165123899161271198960244927169510905674509858045555421745273504287162986549870692008636549496542190495082327683674809888286950718153138743778747499896142162938869191117144056567082688648347024392336416713477920083575730578677071118887087297364952365367095008783909695812083328051673099837006058051949395696281429471412513605321696449133264366929469089308333115021151562495508091016841745402598409558621676711830538547423506277508032448120847783390759219993821813469829898151531682523179747350283065386472191114046238926742672595081312539347702575187457288330216605936134219654340674007601750543620517179144803792858650485823400178292332805281901904389267769973574991036648593292198696637722181299829025254317721242568801718818273470876520251445426399275567929658915148752111573318976384418869320192030479421123630500341786070317686170415516278742289055021663845504664236420895919072042773885436157943536481421733723415255280477996414398192041761296710466819478906361910160448697661378838398167365238609768605723324425899405335933142187411559814722071824943539619924106268799321085958003165300484345821803171054642778273089103385205973682865621050450370410934757726834561202890461622128996124628395543776236685315470162111575660827935470486714800066922502621296874515552941305391808069758900870324237264581673644921634468721529963791249654770110778024718281881196463993902539950022838087004988808619144480222841151992342465061576241660032917876294661895169250684267401654558813850024085132781387877018934}
15660  5013374571684353014271068631836763613474951109676186877661084874: {172139,203411,265931,297179,344234,438172,484499,531794,625960,640379,704205,751152,813436,827171,845046,876232,906482,920459,985761,1173525,1230899,1251760,1376584,1408230,1502112,1548657,1571459,1626664,1689876,1695059,1829997,2299521,2311139,2311612,2526011,2580765,2587331,2737525,2752816,2771282,2985131,3076739,3096918,3285030,3327914,3504032,3594491,3832045,3910750,3942036,4068074,4140179,4261091,4351691,4550236,4598454,4692900,4773539,5005760,5073899,5313611,5392005,5403371,5474350,5631480,5702051,5751472,5851091,5868232,5908394,5940419,6006912,6036892,6059411,6091634,6118859,6335415,6385979,6470406,6569220,6593291,6601761,6614824,6741131,6757776,7006739,7007168,7095131,7389251,7441677,7565339,7602498,7820500,7883064,7887419,7916114,7916651,8586779,8641874,8702891,8767869,8847851,8851144,8868447,9021539,9099304,9137171,9384600,9655931,9713411,9957537,10010240,10101436,10143491,10167969,10236717,10343579,10393285,10557675,10600259,10984682,11261520,11451179,11507651,11879282,12012288,12014459,12104725,12294899,12434819,12471942,12669210,12769811,12814024,12964691,13018957,13020299,13125674,13206505,13380971,13513824,13546979,13685099,13795451,13933211,14049064,14093121,14131132,14345291,14415777,14525670,14536979,14847550,14946419,15082499,15109691,15191219,15203052,15421682,15494048,15597779,15644629,15772754,15775432,15805197,15847806,15853285,15975611,16056371,16137059,16244531,16325051,16593765,16777525,16822514,16915377,16966619,17099699,17402236,17430804,17524211,17656451,17700016,17735699,17747361,17817060,17841251,17999339,18130859,18550379,18598510,18848572,18915779,19004864,19023942,19251794,19383405,19464232,19538531,19912518,20079659,20133030,20464019,20642771,20650012,20675632,20969714,21024491,21075251,21368572,21379139,21380472,21475232,21482282,21897261,21908171,21925281,22233899,22318212,22349470,22396045,22404904,22444252,22520901,22608059,22647550,22673234,22831691,23159932,23260086,23277011,23350405,23559765,23646131,23695211,23871784,24053031,24159636,24231292,24306011,24378971,24451859,24530474,24670091,24742691,24791051,24960059,25130416,25205517,25224685,25320899,25663645,25679939,25799219,25894499,26067784,26101525,26155859,26162877,26203754,26475526,26510699,26569300,26721052,26722739,26746259,26819364,26855757,26869034,26875254,27004451,27074699,27177060,27448139,27577569,27634091,27661249,27697394,27783772,28015432,28020486,28050611,28119779,28137436,28271718,28280891,28898651,28988864,29171339,29326257,29645771,29716264,29834282,30049619,30094331,30160874,30269622,30650531,30796374,31091891,31245611,31289459,31321830,31517361,31597237,31747931,31760245,31883160,31943339,31946834,31994350,32267579,32269682,32382664,32611451,32612472,32654291,32902509,33314219,33350344,33409952,33430797,33441059,33504371,34008704,34075432,34133531,34548971,34558504,34569659,34755491,34858451,34920131,35063771,35186579,35410979,35492339,35532971,35573349,35674931,35868555,35908081,36006184,36198779,36378851,36430497,36518459,36537445,36617939,36662350,36689031,36796499,36896365,36974411,37033571,37043282,37071957,37171331,37387019,37519137,37562771,37586196,37621211,37699019,37822180,37969789,37989659,38112294,38163179,38201651,38259792,38334861,38374379,38393220,38450939,38613436,38774891,38878317,39115379,39134219,39516070,39528011,39583979,39695699,39751451,39822692,39899771,39955259,40153682,40334236,40341659,40414859,40506957,40905611,40952768,41067899,41124445,41228714,41319059,41426219,41545005,41576665,41604179,41745971,41975291,41992274,42115739,42185771,42238211,42349225,42389692,42448682,42492232,42551339,42655139,42706931,42913379,42964811,42997285,43042266,43048285,43067459,43413532,43559531,43610051,43754236,43844934,43994820,44028251,44177579,44260259,44261354,44275638,44295765,44314672,44408579,44474291,44523491,44882632,45010514,45011531,45043811,45138910,45159914,45236819,45276609,45332891,45386616,45444611,45492371,45682691,45714299,45792412,45997331,46071864,46091099,46200131,46662971,46790344,46807612,46846091,46883229,46927808,47193851,47248816,47419284,47477939,47641091,47803761,47817971,47964491,48255131,48466285,48571139,49065145,49121819,49166332,49191539,49252357,49349334,49358051,49605659,49687619,49854006,49864211,49891998,49972211,50106491,50492961,50530811,50661731,50817779,50819070,50842492,50895371,51059943,51080421,51240971,51304744,51342251,51530771,51596742,51643019,51655451,51657942,51733874,51828659,51830847,51844732,52085531,52121939,52134059,52196350,52206611,52280965,52304114,52446314,52493939,52553219,52639137,52659419,52793784,52795645,52904699,52939451,53020259,53123579,53146451,53154918,53260331,53316971,53350859,53418419,53437682,53630459,53859757,53861459,53900725,54010502,54110411,54141482,54166692,54173212,54207008,54376211,54533291,54554099,54564491,54709139,54923171,55023851,55143611,55255605,55340651,55369931,55437971,55467011,55486331,55538282,55582451,55617565,55639739,55781699,55800491,55884659,55968179,55977419,56005091,56031784,56142371,56196779,56250899,56295779,56375349,56438051,56507474,56560859,56569571,56590982,56738632,56742131,56818739,56889560,56928251,56979717,57192059,57272819,57296891,57360731,57384539,57416171,57463379,57502499,57687491,57717837,57733019,57792721,57890099,57984765,58000139,58065299,58094051,58129811,58159542,58201045,58221851,58360811,58388219,58530011,58541857,58642211,58648739,58720019,58745699,58803011,58834571,58853411,58872179,58878174,58939312,59001539,59019731,59037851,59079851,59168531,59203499,59323619,59372714,59393007,59407259,59467451,59673059,59718779,59760805,59842379,59923571,59937659,59942339,60007019,60011579,60045554,60052259,60074579,60114251,60233531,60294851,60306899,60330779,60362171,60442139,60456971,60529211,60553739,60564131,60571019,60591491,60604979,60615011,60641411,60651179,60744899,60806219,60810025,60858659,60903131,60928211,60947699,60957251,60982884,61009691,61024811,61035371,61059899,61077539,61096379,61138331,61165259,61187099,61192619,61199339,61223051,61229939,61235459,61242851,61251779,61259171,61265219,61273931,61276139,61297451,61298291,61300979,61302971,61303859,61307531,61497550,61778665,61850416,62049436,62070405,62316417,62428197,62635620,62737158,63035757,63308104,63354774,63616682,63669436,63710709,63830961,63999381,64000755,64006994,64256566,64525394,64569729,64680870,64722229,65282236,65742614,66108232,66208432,66306726,66448874,66741078,66811328,66829682,66887836,67392248,67502805,67969864,68089682,68267472,68339954,68410209,68629886,68899144,68992928,69087314,69237550,69581718,69595432,69841254,69845677,69952682,70062177,70360510,70410452,70585989,70793569,70810994,71221617,71345212,71449384,71712966,71977372,72002992,72244641,72374824,72746354,72841069,72972030,73183957,73797060,73874905,74134398,74371761,74375245,74484486,75022849,75162744,75347282,75422350,75816279,75928682,76160234,76191375,76198749,76466097,76800906,76868725,76942510,76986664,77157860,77511537,77617044,77651282,77836832,78218282,78294861,78460405,78716864,79117994,79330381,79915677,80119154,80380557,80780114,80844260,81003366,81008205,81270800,81421677,81440725,81901645,82086482,82561030,82853692,83085060,83144350,83159282,83478314,83654389,83940805,84074236,84427634,84432612,84558087,85698037,85778282,85926189,86005525,86086514,86408752,86609997,87104594,87406972,87513349,87566436,87720405,88008554,88039765,88054694,88108274,88335357,88556472,88624064,88649886,88802282,89059605,89060577,89250294,89424741,89482101,89489234,90004389,90216232,90257475,90438997,90506820,90937514,91238277,91300732,91363569,91402388,91413074,91429650,92242470,92331012,92589432,92785372,93155174,93279314,93568432,93602632,93918020,94152486,94461482,94557436,94557661,94996912,95354282,95739405,96026236,96274640,96301384,96406634,96540608,96650372,96948129,97013112,97096682,97160005,97209846,97487836,97523282,97524960,97647304,97728870,97983445,98095432,98198354,98281974,98281981,98391968,98651932,98942236,99029234,99029965,99073236,99096685,99437569,99626031,99702072,99773220,99986809,...,3740672067064168676730796683600595225872722121264883053008238799704596438515037027848852520405227371802001972519743143481566174258490072722744619463207022804450419363526452509806899021572184314814402148439673724712288739109912672306847258927582217396487841712017811921258976173347822880348684913229566982840456534240776189677584533279620794411146280428075033698632418943839131126913426142272175762065016947411961557659901594724889103127772316289174208826010083302714957905850210956208908724603453485558507881231712457889919466555615067886719436828061470344000524934338714782280519561048644602597358466854479876156205093966348249554624913794934144321117826384521020790480137646948601072833939776201875810293243947080710868419167135979727931642539108686109673610764328529278543734410974686762104507950755254430019379237508243219156513859708162072707307215688294460009208695215708098900627353513041477714014874372206401942531759458988789787130717446302279818514202360863806890265587329550184247685848741906798440367390754266358511764787068333132617910256430744479824806038012954824244813285742623491525512214832430426077229708115668121249844213244408303786675716084850624032972520536588504625070216880125363595868015606678330630946047428548050642513175864543718124992077509649755509087077924093544422144207118770407982544673699896550394203633962499672531727343743262136525262618103897614337932515067745807821135259416262048672181271675086138829990732720204744847227297523784769621025424598079708286671069358390114008892621968809021553862781185932495324908904201329481511011011402625815430775768717205689287975728735100267438499207922852856583901654960362486554972889938298044956583271949743537881476581863853202578227410206314780377168139598913351894488372723128167359978464576628303980288045719131685445750512679105476529255623274418113433582532495768256996354631343878608064160828154236915304722132600585122882920716994621597288062641945065700229218359542865240673046492068257597251047857914652908584986638849108003899713281117339722083107737415309429886159403198981628937004747950726518732704756581964167409633655077808960524298431575675555616402136590251841804335692433193494186942593315664355027973205243167363491241903205730072200100383753931945311773329411958087712104638351305486355896872510467382451703082294945686874482155166167037077422821794695990853809925034257130507483212928716720334261727988513697592364362490049376814441992842753876026401102481838220775036127699172081815528401}
15661  5035559823755755054251557936783261829034446124101761721446602407: {15661,516351,547715,657258,766703,782450,797691,938940,1001536,1016795,1095290,1126728,1204511,1220154,1267569,1314348,1359723,1423331,1564700,1720730,1877640,2002816,2033330,2064876,2112345,2253168,2408714,2439996,2534814,2889515,3066028,3441020,3467418,3860363,4129224,4156923,4380040,4645377,4927545,4991871,5032538,5134703,5256048,5326079,5687795,5787971,5866125,5888363,5913054,6102111,6131272,6257200,6532922,6825354,6825503,6897681,6908018,7039350,7189340,7335290,7382111,7508640,7546115,7744751,7961891,8009216,8211525,8268530,8318531,8447220,8627208,8758960,8802348,8862591,9010368,9055338,9137451,9532211,9705609,9775625,9816803,9853830,9922236,9964922,10136664,10510752,11063930,11127791,11212271,11374130,11403747,11404331,11484671,11690492,11730750,11824596,11874171,12153179,12214058,12292931,12512800,12626795,12962811,13276451,13276716,13557292,13571051,13648956,13803503,14025299,14076900,14077514,15015360,15152154,15487514,15989363,16016384,16017530,16131434,16159571,16477023,16629256,16892280,17031203,17468543,17561330,17663915,17818923,18001763,18018432,18058379,18091178,18633659,18707913,18790828,19003815,19221036,19367560,19604291,19609811,19688511,19719290,20270736,20819738,20887811,21073596,21130408,21196698,21594203,21617531,21747794,21752795,21788505,21989114,22125020,22271325,22553836,22704431,22804578,22809311,22966394,23132523,23241072,23560715,23639411,23659131,23663148,23716319,23756080,23771709,24330290,24513503,24536543,24789371,25233771,25365256,25812515,25844540,26001731,26103354,26146206,26240882,26550024,26710715,26725590,26756411,26844040,27058922,27212291,27625091,27897765,28006130,28055315,28270703,28272858,28334831,28507296,28535913,28877691,28949915,29181551,29196348,29233708,29440979,29757616,29816003,29823179,29839730,29868777,30027868,30199545,30238691,30289115,30420611,30464522,30975018,31013448,31259498,31413020,31454571,31505411,32052858,32070708,32212848,32223423,32314994,32584730,32938403,33185834,33211625,33401315,33477318,33524205,33607356,33666378,33822239,33971325,34009851,34245359,34671971,34729715,34739898,34883836,34890129,34932602,35019290,35171795,35759152,35807676,35833672,35833919,36236080,36239454,36346938,36393851,36583514,36770092,36795711,37145330,37180703,37360648,37695624,37842431,37991354,38084399,38606879,38642258,38775338,38913059,39101676,39272303,39305631,39473183,39570011,39713289,39770531,39853950,40081578,40229046,40303551,40312881,40359496,40478330,40765590,40941551,41061832,41342714,41546091,41675658,41687930,41762440,42003251,42005162,42023148,42030729,42206154,42407577,42479258,42510880,42594290,42877619,43198130,43483296,43860683,43870012,43907498,44574396,44751423,44802431,44891651,45007730,45241311,45307631,45403034,45404433,46194561,46750154,46841531,46982745,47272754,47277725,47431132,47726411,47824740,47920251,47983658,47991525,48266795,48404523,48573996,48918708,49027811,49429276,49577711,49646303,49778365,50025516,50114928,50337299,50417795,50694731,50816392,51013056,51113148,51190960,51421331,51481034,51571898,51837756,52593482,52987115,53115290,53170379,53321171,53367794,54009276,54119114,54173171,54266915,54692795,54993525,55083122,55186091,55393340,55394591,55564923,55726403,55776479,55932059,56071679,56103290,56379294,56733270,56765291,56951402,57168441,57240515,57389688,57589830,57844703,57920154,57932378,58389983,58459912,58487930,58509515,58659760,58968217,59034184,59061020,59274105,59473631,59734038,60035378,60230523,60286751,60368812,60501354,60515488,60896003,61061618,61429152,61457915,61589594,61843071,62452283,62510972,62518211,62681531,62929898,62988411,63002618,63179051,63225712,63327971,63553115,63584538,63664799,63673023,63738348,64071962,64130930,64563399,64805915,64851491,65120298,65631354,65767401,65798771,65799112,65992230,66392031,66413457,66472008,66522664,66672938,66964634,67061963,67323948,67363331,67515771,67708365,67716515,67739871,67758760,68079924,68107228,68569259,68688618,68795656,68877256,69085994,69107796,69141731,69318659,69411563,69597554,69700703,70039730,70185516,70211418,70391712,70521179,70664303,70823411,70873224,70923290,71111950,71128926,71254682,71353763,71366111,71983418,72222256,72478571,72820403,73399679,73674140,73749498,73901771,74024001,74781009,74837997,74867231,75088751,75094571,75167132,75230363,75274442,75307091,75607658,75972956,76228605,76263738,76375211,76957116,77164763,77313020,77347391,77395113,77486913,77514938,77546056,77561795,77600811,77767098,77852378,78154751,78294525,78456171,78487538,78504232,78571403,78669471,78939203,79135130,79190676,79586795,79732377,79742051,80156523,80222642,80672051,81015753,81102299,81212223,81250038,81259818,81310512,81576251,81602795,81704954,81872378,81902303,82012379,82585343,82635290,82760540,83088556,83122298,83237596,83307423,83337371,83514160,83609795,83649544,84047676,84209219,84240310,84263711,84473032,84761211,84886473,84947612,84962330,85107948,85260851,85332508,85334340,85437194,85441391,85447883,85737599,85833503,86092972,86123930,86166251,86241160,86256671,86412083,86447651,86994290,87001199,87020714,87239313,87693803,88013065,88317261,88408968,88716563,88767203,88988104,89059071,89169434,89181515,89311730,89356778,89847803,89971715,90003740,90068331,90468530,90590879,91015691,91023296,91161563,91213612,91299551,91414319,91474326,91677674,91688303,92246325,92758298,92775624,93074154,93121672,93245291,93371954,93416236,93628703,93953430,94105737,94114652,94962156,95032161,95146994,95313203,95425023,95504154,95617288,95668331,95984291,96010491,96233330,96326188,96384849,96447325,96528803,96788091,96833411,96914531,97021305,97230074,97296040,97367651,97864931,97923354,98191658,98271563,98396080,98613921,98845864,98901851,99087818,99162348,99312648,99460089,99635483,99673311,99800351,...,4987562756085558235641062244800793634496962828353177404010985066272795251353382703798470027206969829069335963359657524642088232344653430296992825950942697072600559151368603346409198695429579086419202864586231632949718318813216896409129678570109623195317122282690415895011968231130430507131579884306089310453942045654368252903446044372827725881528373904100044931509891925118841502551234856362901016086689263215948743546535459633185470837029755052232278434680111070286610541133614608278544966137937980744677174975616610519892622074153423848959249104081960458667366579118286376374026081398192803463144622472639834874940125288464332739499885059912192428157101846028027720640183529264801430445253034935834413724325262774281157892222847972970575523385478248146231481019104705704724979214632915682806010601007005906692505650010990958875351812944216096943076287584392613345611593620944131867503138017388636952019832496275202590042345945318386382840956595069706424685603147818409187020783106066912330247798322542397920489854339021811349019716091110843490547008574325973099741384017273098993084380990164655367349619776573901436306277487557494999792284325877738382234288113134165377296694048784672833426955840167151461157354142237774174594729904730734190017567819391624166656103346199674012116103898791392562858942825027210643392898266528733858938178616666230042303124991016182033683490805196819117243353423661077094847012555016064896241695566781518439987643626939659796303063365046359494700566130772944382228092477853485345190162625078695405150374914576660433211872268439308681348015203501087241034358289607585717300971646800356584665610563803808778535539947149982073297186584397393275444362599658050508635442485137603437636546941753040502890852798551135859317830297504223146637952768837738640384060958842247261000683572140635372340831032557484578110043327691009328472841791838144085547770872315887072962843467446830510560955992828796384083522593420933638957812723820320897395322757676796334730477219537211446648851798810671866284374823119629444143649887079239848212537598642171916006330600968691643606342109285556546178206770411947365731242100900740821869515453669122405780923244257992249256791087552473370630940324223151321655870940973429600133845005242593749031105882610783616139517801740648474529163347289843268937443059927582499309540221556049436563762392927987805079900045676174009977617238288960445682303984684930123152483320065835752589323790338501368534803309117627700048170265562775754037868}
15662  5057842477210379205356822311409513719837031738347706398984042848: {203437,297217,344278,406822,531862,594358,671617,688468,876344,951661,968998,985887,1063588,1173675,1231057,1251920,1280758,1408410,1502304,1602577,1626872,1642935,1654342,1690092,1752464,1812964,1830231,1840918,1955875,1971522,2342161,2347050,2461798,2503520,2581095,2753168,2816460,3004224,3049995,3097314,3142918,3253328,3260161,3379752,3390118,3442897,3613071,3659994,3802221,3832535,4170961,4301275,4599042,4622278,4623224,4804237,5052022,5074561,5161530,5174662,5201127,5344237,5364863,5475050,5505632,5542564,5702797,5970262,6153478,6193836,6416461,6570060,6655828,7008064,7037137,7188982,7548807,7664090,7821500,7884072,7917697,8136148,8180461,8280358,8522182,8616961,8703382,8869581,8986675,9051661,9100472,9196908,9385800,9484561,9547078,9799383,10011520,10147798,10238031,10362027,10559025,10627222,10784010,10806742,10942957,10948700,11002935,11028097,11262960,11404102,11502944,11702182,11736464,11816788,11880838,12013824,12044161,12073784,12118822,12183268,12237718,12402795,12670830,12771958,12940812,13049857,13138440,13186582,13203522,13229648,13482262,13515552,13583007,14013478,14014336,14190262,14550599,14613115,14778502,14780745,14784877,14883354,14947383,15111757,15130678,15204996,15599917,15641000,15766128,15774838,15832228,15833302,16407757,16595895,16946615,17061195,17173558,17283748,17367661,17405782,17526637,17535738,17596125,17695702,17702288,17736894,17764561,18043078,18198608,18274342,18321087,18489107,18769200,18944461,19311862,19426822,19722061,19915074,20020480,20202872,20286982,20335938,20473434,20687158,20786570,20802199,21103597,21115350,21116271,21200518,21969364,22194599,22237057,22523040,22728231,22902358,23015302,23231271,23280337,23488535,23723137,23758564,24024576,24026295,24028918,24197151,24209450,24236461,24455377,24589798,24746257,24818797,24869638,24943884,25324561,25338420,25539622,25628048,25826797,25929382,26037914,26040598,26251348,26341995,26413010,26538157,26750161,26761942,27027648,27093958,27136767,27242317,27370198,27590902,27656275,27661357,27866422,28098128,28186242,28192295,28262264,28690582,28831554,29051340,29073958,29578935,29695100,29852461,29892838,30164998,30188161,30219382,30382438,30406104,30522061,30843364,30988096,31195558,31229607,31289258,31354463,31512961,31545508,31550864,31610394,31695612,31706570,31795047,31951222,32112742,32274118,32305675,32489062,32621691,32650102,32690567,32936977,32983671,33187530,33555050,33645028,33830754,33933238,34199398,34206867,34449591,34574977,34804472,34822657,34861608,34884397,35048422,35312902,35314559,35400032,35471398,35494722,35634120,35682502,35929103,35998678,36261718,36344557,36495435,36542135,37100758,37197020,37534835,37697144,37831558,38009728,38047884,38457037,38503588,38571661,38743057,38766810,38928464,39027277,39077062,39140461,39155031,39219309,39266275,39361323,39825036,40088385,40146157,40159318,40266060,40366477,40530961,40588383,40928038,40966417,41285542,41300024,41343661,41351264,41450797,41939428,42009195,42048982,42150502,42409287,42436823,42558337,42737144,42758278,42760944,42950464,42964564,43533037,43604795,43794522,43816342,43850562,44184961,44333677,44464343,44467798,44580097,44636424,44698940,44759595,44792090,44809808,44873387,44888504,45041802,45216118,45260497,45295100,45346468,45663382,45696783,45962615,46020817,46114561,46208017,46319864,46462527,46520172,46554022,46700810,46889247,47119530,47292262,47390422,47486161,47743568,47840977,48079287,48106062,48278017,48319272,48462584,48472491,48612022,48757942,48877095,48903718,49060948,49297537,49340182,49485382,49582102,49710097,49778751,49920118,50215977,50260832,50315437,50411034,50449370,50499567,50553037,50641798,50826961,50904577,51152423,51327290,51359878,51598438,51654911,51664897,51788998,51887377,52109847,52135568,52143661,52203050,52311718,52324561,52325754,52398903,52407508,52528935,52786477,52926157,52951052,53021398,53030161,53138600,53304337,53372161,53439697,53442104,53445478,53492518,53638728,53711514,53738068,53750508,54008902,54149398,54354120,54359181,54449677,54520407,54574957,54837515,54875271,54896278,55155138,55268182,55322498,55394788,55506817,55567544,55717995,55904977,55988461,56030864,56040972,56101222,56180737,56207917,56239558,56274872,56449297,56543436,56561782,56580877,56736397,56987031,57113857,57162961,57404161,57522061,57574223,57684097,57797302,57963387,57977728,58127617,58163007,58207331,58342678,58502161,58652514,58661137,58758157,58890961,59110417,59216257,59288915,59291542,59336461,59432528,59502061,59629357,59668564,59691277,59736961,59780925,59855617,59955661,60024961,60099238,60118957,60122367,60188662,60196199,60267599,60308497,60321748,60343569,60344461,60425857,60539244,60546637,60697297,60717495,60950017,60978817,61052077,61076557,61094161,61111117,61132717,61148385,61251661,61257997,61272577,61298317,61301062,61307137,61322797,61592748,61786595,62014071,62183782,62491222,62513487,62531895,62578918,62643660,63007743,63034722,63194474,63309231,63495862,63520490,63718887,63766320,63886678,63891435,63893668,63988700,64535158,64539364,64765328,64797195,65222902,65224944,65308582,65805018,65861247,66628438,66700688,66819904,66861594,66882118,67008742,67511595,67852799,68017408,68104551,68150864,68267062,68691203,69097942,69117008,69139318,69185831,69241675,69510982,69716902,69840262,70125231,70127542,70373158,70821958,70909131,70984678,71065942,71146698,71349862,71737110,71816162,71975487,72012368,72397558,72757702,72860994,73036918,73074890,73193351,73235878,73324700,73378062,73592998,73792730,73826275,73913903,73948822,74067142,74086564,74143914,74342662,74774038,75038274,75125542,75172392,75242422,75398038,75461015,75644360,75939578,75979318,76224588,76326358,76403302,76489907,76519584,76669722,76748758,76786440,76901878,77221551,77226872,77357847,77549782,77756634,77864591,78138715,78230758,78268438,78890223,79032140,79056022,79167958,79391398,79502902,79645384,79672935,79799542,79910518,80051691,80307364,80668472,80683318,80829718,81013914,81178671,81481463,81811222,81905536,82135798,82248890,82457428,82544891,82624683,82638118,82852438,83090010,83153330,83208358,83491942,83665127,83950582,83984548,84154935,84231478,84371542,84476422,84568941,84698450,84779384,84897364,84984464,85099905,85102678,85134035,85310278,85413862,85427103,85826758,85929622,85994570,86084532,86096570,86134918,86384745,86490131,86827064,86880231,86898567,87119062,87220102,87508472,87689868,87731895,87989640,88056502,88355158,88520518,88522708,88551276,88591530,88629344,88663367,88817158,88948582,89046982,89601057,89765264,90021028,90023062,90053067,90087622,90277820,90319828,90473638,90553218,90665782,90752031,90773232,90889222,90984742,91365382,91428598,91584824,91592427,91994662,92092675,92143728,92182198,92384391,92400262,93325942,93580688,93615224,93692182,93766458,93855616,93958915,94387702,94394847,94497632,94503927,94838568,94955878,94966195,95282182,95376807,95607522,95635942,95780159,95928982,96107943,96196395,96510262,96641275,96932570,97142278,97680447,98130290,98243638,98332664,98383078,98447031,98504714,98698668,98716102,98988345,99211318,99375238,99708012,99728422,99783996,99944422,...,7481344134128337353461593367201190451745444242529766106016477599409192877030074055697705040810454743604003945039486286963132348516980145445489238926414045608900838727052905019613798043144368629628804296879347449424577478219825344613694517855164434792975683424035623842517952346695645760697369826459133965680913068481552379355169066559241588822292560856150067397264837887678262253826852284544351524130033894823923115319803189449778206255544632578348417652020166605429915811700421912417817449206906971117015762463424915779838933111230135773438873656122940688001049868677429564561039122097289205194716933708959752312410187932696499109249827589868288642235652769042041580960275293897202145667879552403751620586487894161421736838334271959455863285078217372219347221528657058557087468821949373524209015901510508860038758475016486438313027719416324145414614431376588920018417390431416197801254707026082955428029748744412803885063518917977579574261434892604559637028404721727613780531174659100368495371697483813596880734781508532717023529574136666265235820512861488959649612076025909648489626571485246983051024429664860852154459416231336242499688426488816607573351432169701248065945041073177009250140433760250727191736031213356661261892094857096101285026351729087436249984155019299511018174155848187088844288414237540815965089347399793100788407267924999345063454687486524273050525236207795228675865030135491615642270518832524097344362543350172277659981465440409489694454595047569539242050849196159416573342138716780228017785243937618043107725562371864990649817808402658963022022022805251630861551537434411378575951457470200534876998415845705713167803309920724973109945779876596089913166543899487075762953163727706405156454820412629560754336279197826703788976745446256334719956929153256607960576091438263370891501025358210953058511246548836226867165064991536513992709262687757216128321656308473830609444265201170245765841433989243194576125283890131400458436719085730481346092984136515194502095715829305817169973277698216007799426562234679444166215474830618859772318806397963257874009495901453037465409513163928334819267310155617921048596863151351111232804273180503683608671384866386988373885186631328710055946410486334726982483806411460144400200767507863890623546658823916175424209276702610972711793745020934764903406164589891373748964310332334074154845643589391981707619850068514261014966425857433440668523455977027395184728724980098753628883985685507752052802204963676441550072255398344163631056802}
15663  5080222956304889970373726189569004816356845095147711794347403663: {31322,516417,610233,766801,797793,860585,891537,1032702,1095430,1314516,1329485,1423513,1453497,1533406,1564900,1595382,1877880,1892561,1921137,2003072,2033590,2112615,2190580,2253456,2266205,2409022,2440308,2481513,2535138,2628696,2719446,2761377,2846662,2957283,3129400,3441460,3520575,3692697,3755280,3954137,4005632,4045321,4066660,4129752,4224690,4506336,4516781,4645971,4714377,4817428,4879992,5069628,5085177,5489991,5779030,6132056,6294457,6882040,6898563,6928205,6933417,6934836,7578033,7720726,7742295,7761993,7962913,8212575,8258448,8313846,8319785,8724313,8760080,8955393,9230217,9290754,9776875,9855090,9983742,10065076,10170185,10269406,10512096,10564561,10652158,10783473,10971721,11375590,11496135,11575942,11732250,11776726,11826108,12168761,12204222,12262544,12420537,12514400,12746017,12783273,13055073,13065844,13572793,13650708,13651006,13685875,13795362,13816036,14078700,14214497,14320617,14378680,14670580,14764222,14770985,14992561,15017280,15092230,15221697,15229085,15489502,15923782,15940833,16018432,16176015,16210113,16423050,16537060,16637062,16894440,17106153,17254416,17277161,17517920,17553273,17604696,17677513,17725182,17821257,18020736,18060697,18110676,18178233,18274902,18356577,19006245,19064422,19157937,19411218,19551250,19633606,19707660,19779873,19790285,19805283,19844472,19929844,20223393,20273328,21020217,21021504,21143417,21285393,21604685,22021597,22127860,22167753,22255582,22325031,22424542,22696017,22748260,22807494,22808662,22969342,23380984,23461500,23649192,23662257,23748342,23749953,23947997,24306358,24428116,24585862,24729481,24792553,25025600,25253590,25424177,25760337,25925622,26108673,26191661,26303607,26543553,26552902,26553432,26605341,27064617,27114584,27142102,27297912,27411513,27461705,27607006,28028377,28050598,28153800,28155028,28967793,29140233,29698205,29872611,30030720,30304308,30413737,30430473,30453913,30466337,30503907,30710151,30975028,31030737,31179855,31621213,31673025,31800777,31832897,31978726,32032768,32035060,32262868,32319142,32483561,32814185,32954046,32985001,33258512,33784560,33831437,34062406,34353537,34391921,34522953,34937086,35122660,35210017,35327830,35637846,36003526,36036864,36043377,36116758,36137521,36182356,36314175,36884697,37118875,37267318,37304457,37395001,37415826,37431257,37581656,38007630,38309433,38442072,38554205,38570761,38735120,38894073,39056871,39060897,39208582,39219622,39253901,39277441,39377022,39431885,39438580,39619515,39971737,40142913,40354673,40520777,40529881,40541472,40640937,40811257,41055297,41386353,41639476,41775622,41799633,42056285,42147192,42260816,42279363,42349177,42393396,42404761,42522161,43035873,43188406,43235062,43247331,43495588,43505590,43577010,43610937,43978228,44250040,44449417,44542650,44722873,44839257,45107672,45247497,45268961,45329073,45408862,45506093,45518297,45573657,45609156,45618622,45932788,46265046,46482144,46496275,46761841,46793337,46933887,47066081,47121430,47278822,47318262,47326296,47415591,47432638,47512160,47543418,47559855,47926833,48129485,48169113,48180281,48411177,48621601,48627977,48660580,48733593,48975153,49027006,49073086,49240513,49502057,49578742,49781295,50332575,50467542,50730512,50746131,50899857,51299097,51625030,51689080,52003462,52206708,52292412,52424285,52481764,52572633,52792777,52969353,53100048,53207097,53242083,53421430,53451180,53512822,53523753,53688080,53705705,53998017,54117844,54392577,54424582,55250182,55358173,55651137,55795530,55873675,56012260,56110630,56541406,56545716,56618875,56658817,56669662,56683085,56747337,57014592,57071826,57755382,57828061,57899830,58150215,58363102,58392696,58467416,58615593,58881958,59406017,59431793,59515232,59632006,59646358,59679460,59737554,60055736,60238977,60399090,60477382,60578230,60841222,60929044,61050893,61326185,61392057,61543193,61569581,61928313,61950036,62026896,62518996,62826040,62909142,63010822,63073473,63225753,63652937,64105716,64137417,64141416,64328297,64425696,64446846,64629988,64949441,65169460,65310377,65509385,65691783,65724513,65775843,65876806,65917657,66188815,66371668,66423250,66701697,66759337,66802630,66954636,67048410,67086253,67172585,67188135,67214712,67332756,67562703,67573513,67644478,67824177,67942650,68019702,68303273,68490718,68495073,68777393,69243485,69343942,69459430,69479796,69689711,69767672,69780258,69831033,69865204,69972233,70038580,70051215,70208897,70319021,70343590,70584913,70679295,70938393,71085633,71518304,71615352,71667344,71667838,72159093,72472160,72478908,72693876,72700057,72787702,72918033,73136913,73167028,73355577,73540184,73591422,74010273,74078173,74181961,74228073,74290660,74361406,74373153,74585705,74721296,74880177,74906681,75240217,75391248,75402185,75616551,75674055,75684862,75962697,75973681,75982708,76168798,76569913,76990935,77039817,77213758,77284516,77397657,77550676,77567837,77683497,77826118,78203352,78304575,78467577,78488631,78544606,78611262,78946366,79140022,79155577,79426578,79532097,79541062,79707900,79867085,79946537,79985875,80136721,80163156,80168217,80238777,80458092,80471273,80567271,80607102,80625762,80674205,80718992,80956660,81013353,81036397,81224097,81531180,81883102,81884561,81913321,82123664,82344417,82596097,82607981,82685428,82732707,82902273,82983747,83092182,83351316,83375860,83524880,83819417,84006502,84010324,84046296,84061458,84151833,84359337,84412308,84607273,84659297,84815154,84842673,84958516,85021760,85188580,85538777,85656493,85755238,86041081,86396260,86695561,86695953,86715761,86966592,87514017,87721366,87740024,87814996,87978771,88937313,88974361,89148792,89451937,89502846,89604862,89783302,90015460,90148857,90248801,90261613,90282993,90482622,90615262,90728281,90806068,90808866,90928913,91173457,91410553,91655875,91951593,92371537,92389122,92608205,92811533,93015473,93275673,93296561,93500308,93683062,93736833,93868377,93965490,94404497,94524557,94545508,94552083,94555450,94791711,94803121,94862264,95243793,95280735,95452822,95649480,95830017,95840502,95967316,95983050,96303457,96533590,96802737,96809046,97147992,97832561,97834353,97837416,97962873,98010721,98055622,98707527,98790175,98858552,99155422,99184217,99265217,99292606,99377393,99556730,99942657,...,11222016201192506030192390050801785677618166363794649159024716399113789315545111083546557561215682115406005917559229430444698522775470218168233858389621068413351258090579357529420697064716552944443206445319021174136866217329738016920541776782746652189463525136053435763776928520043468641046054739688700948521369602722328569032753599838862383233438841284225101095897256831517393380740278426816527286195050842235884672979704784174667309383316948867522626478030249908144873717550632868626726173810360456675523643695137373669758399666845203660158310484184411032001574803016144346841558683145933807792075400563439628468615281899044748663874741384802432963353479153563062371440412940845803218501819328605627430879731841242132605257501407939183794927617326058329020832292985587835631203232924060286313523852265763290058137712524729657469541579124486218121921647064883380027626085647124296701882060539124433142044623116619205827595278376966369361392152338906839455542607082591420670796761988650552743057546225720395321102172262799075535294361204999397853730769292233439474418114038864472734439857227870474576536644497291278231689124347004363749532639733224911360027148254551872098917561609765513875210650640376090787604046820034991892838142285644151927539527593631154374976232528949266527261233772280633266432621356311223947634021099689651182610901887499017595182031229786409575787854311692843013797545203237423463405778248786146016543815025258416489972198160614234541681892571354308863076273794239124860013208075170342026677865906427064661588343557797485974726712603988444533033034207877446292327306151617067863927186205300802315497623768558569751704964881087459664918669814894134869749815849230613644429745591559607734682230618944341131504418796740055683465118169384502079935393729884911940864137157395056337251538037316429587766869823254340300747597487304770989063894031635824192482484462710745914166397801755368648762150983864791864187925835197100687655078628595722019139476204772791753143573743958725754959916547324011699139843352019166249323212245928289658478209596944886811014243852179556198114269745892502228900965233426881572895294727026666849206409770755525413007077299580482560827779946993065083919615729502090473725709617190216600301151261795835935319988235874263136313915053916459067690617531402147355109246884837060623446465498501111232268465384087972561429775102771391522449638786150161002785183965541092777093087470148130443325978528261628079203307445514662325108383097516245446585203}
15664  5102701687129327419334264522823503403231983640995138442355384506: {46983,265999,359743,406874,594434,688556,813644,1063724,1188716,1293223,1343234,1376936,1549053,1643145,1752688,1757263,1903322,1937996,1956125,1971774,2127176,2127199,2300109,2347350,2393073,2462114,2503840,2561516,2587999,2738225,2816820,2955343,3004608,3046999,3050385,3205154,3253744,3285870,3308684,3380184,3504928,3613533,3625928,3660462,3681836,3802707,3868663,3911750,3943044,4050463,4079169,4269993,4301825,4322623,4684322,4694100,4923596,5007040,5083325,5162190,5365549,5506336,5632920,6008448,6021785,6099990,6120463,6194628,6285836,6337035,6506656,6520322,6565423,6759504,6780236,6885794,7226142,7319988,7449943,7604442,7625983,7665070,8341922,8414599,8501863,8602550,8668545,8850199,9198084,9244556,9246448,9608474,9715999,10104044,10149122,10323060,10349324,10402254,10688474,10729726,10950100,11011264,11085128,11405594,11510743,11581089,11848999,11940524,12186103,12306956,12387672,12470769,12581345,12832922,13023823,13140120,13311656,13439983,13854343,13936131,13936999,14016128,14074274,14377964,14782635,14975613,15086623,15097614,15328180,15404109,15643000,15768144,15835394,15978237,16060783,16272296,16332305,16360922,16560716,17044364,17063385,17233922,17270045,17363913,17406764,17581999,17598375,17665089,17739162,17973350,18103322,18200944,18306333,18338225,18372199,18393816,18771600,18969122,19094156,19466383,19598766,20023040,20295596,20458361,20476062,20476509,20671325,20693043,20724054,21081199,21118050,21254444,21385183,21568020,21613484,21885914,21897400,22005870,22056194,22146333,22290223,22525920,22589599,22638345,22664263,22808204,23005888,23234253,23332999,23404364,23472928,23633576,23701999,23725261,23761676,23885673,24027648,24088322,24142423,24147568,24237644,24366536,24475436,24584417,24634575,24798199,24805590,24912305,24955593,25232143,25341660,25543916,25881624,26099714,26163463,26234599,26276880,26305663,26373164,26407044,26459296,26587773,26964524,27012343,27031104,27166014,27412353,27659825,28026956,28028672,28335199,28380524,28435325,28596633,28610383,28952743,29101198,29116827,29226230,29326875,29450409,29557004,29561490,29569754,29699599,29766708,29767063,29894766,30103303,30223514,30261356,30370999,30409992,30535145,30703999,31101223,31199834,31282000,31298863,31532256,31549676,31664456,31666604,32082943,32341999,32664199,32815514,32883949,33191790,33366703,33383373,33636813,33893230,34122390,34185703,34211241,34212993,34347116,34454013,34559599,34567496,34621663,34735322,34811564,35053274,35071476,35115583,35192250,35193785,35391404,35404576,35421943,35473788,35529122,35543983,35622513,36086156,36397216,36450103,36459537,36548684,36642174,36878793,36978214,37538400,37880385,37888922,38098183,38213743,38623724,38718785,38853644,38888433,39297199,39444122,39469213,39577999,39801343,39829353,39830148,40040960,40043825,40328585,40354663,40405744,40573964,40671876,40713153,40946868,41374316,41410509,41573140,41604398,41812663,42075897,42207194,42230700,42232542,42234583,42286999,42401036,43064599,43371103,43467677,43624543,43903325,43938728,44076199,44389198,44474114,44767183,44815999,45046080,45058999,45227945,45348223,45456462,45491863,45587263,45729823,45804716,46030604,46246999,46462542,46560674,46709599,46977070,47446274,47517128,47968089,48049152,48052590,48057836,48271999,48394302,48418900,48444943,48472922,48478713,48530983,48659503,48910754,49179596,49298225,49431069,49492514,49499743,49637594,49652801,49705303,49739276,49887768,49909063,50152609,50191303,50548999,50649122,50676840,51079244,51093609,51132199,51158989,51256096,51474343,51653594,51858764,52049345,52075828,52081196,52249999,52405629,52502696,52548769,52683990,52826020,52924423,52991745,53076314,53166343,53456769,53500322,53523884,53606263,54005289,54055296,54175137,54187916,54273534,54369485,54484634,54575023,54606199,54740396,54791743,54972785,55095223,55181804,55184863,55312550,55322714,55391503,55507999,55623343,55732844,55765903,55822423,55900977,55906663,56045623,56123739,56196256,56237143,56372484,56384590,56524528,56609599,56967943,57011445,57239599,57263863,57381164,57415985,57455383,57595999,57663108,57936199,58102680,58147916,58385263,58446823,58487503,58587943,58666999,58686583,58812873,58829433,58953199,59063143,59065533,59152783,59157870,59390200,59541943,59704922,59785676,59950183,60061063,60281383,60329996,60330199,60342223,60376322,60389599,60438764,60491983,60502999,60598903,60619423,60649663,60764876,60812208,60825725,60834703,60843199,60876463,61044122,61046713,61181023,61240999,61255543,61258999,61275199,61278223,61329199,61334599,61340143,61686728,61976192,62391116,62459214,62578516,62663433,62708926,63025922,63091016,63101728,63220788,63391224,63413140,63590094,63902444,64225484,64347661,64548236,64611350,64782609,64852593,64978124,65243382,65258385,65300204,65365515,65381134,65602205,65873954,65967342,66375060,66813975,67110100,67290056,67647305,67661508,67866476,68113293,68398796,68413734,68427933,68899182,69149954,69397569,69608944,69645314,69723216,69768794,70015325,70096844,70625804,70629118,70682145,70800064,70918233,70942796,70977393,70989444,71148957,71268240,71315127,71365004,71858206,71997356,72523436,72689114,72990870,73084270,73540509,73609629,74201516,74368113,74394040,74599325,75069670,75394288,75663116,75701313,76019456,76095768,76161305,76772521,76914074,77007176,77143322,77396561,77437545,77486114,77533620,77856928,78005193,78054554,78148745,78154124,78280922,78310062,78438618,78532550,78722646,79650072,80132145,80176770,80269233,80292314,80318636,80532120,80732954,80787485,81061922,81176766,81461825,81636873,81765073,81856076,81932834,82571084,82600048,82687322,82702528,82875273,82901594,82964585,83004481,83693295,83878856,84018390,84097964,84165945,84301004,84636761,84812109,84818574,84873646,85004493,85116674,85474288,85516556,85521888,85607739,85900928,85929128,86501233,86633073,86849745,87066074,87209590,87331505,87544653,87548225,87589044,87632684,87701124,88322937,88369922,88667354,88928686,88935596,89160194,89272848,89397880,89448009,89469537,89519190,89584180,89606331,89619616,89746774,89777008,90083604,90432236,90520994,90590200,90598635,90692936,90716073,90817133,90867345,91261833,91326764,91393566,91458785,91925230,92041634,92229122,92416034,92639728,92863325,92925054,93040344,93108044,93401620,93778494,94239060,94363713,94516233,94584524,94780844,94972322,94978385,95487136,95681954,96158574,96212124,96556034,96605645,96638544,96670269,96925168,96938345,96944982,97224044,97515884,97553053,97754190,97807436,98121896,98595074,98680364,98815209,98970764,99164204,99420194,99557502,99634875,99840236,...,14962688268256674706923186734402380903490888485059532212032955198818385754060148111395410081620909487208007890078972573926264697033960290890978477852828091217801677454105810039227596086288737259257608593758694898849154956439650689227389035710328869585951366848071247685035904693391291521394739652918267931361826136963104758710338133118483177644585121712300134794529675775356524507653704569088703048260067789647846230639606378899556412511089265156696835304040333210859831623400843824835634898413813942234031524926849831559677866222460271546877747312245881376002099737354859129122078244194578410389433867417919504624820375865392998218499655179736577284471305538084083161920550587794404291335759104807503241172975788322843473676668543918911726570156434744438694443057314117114174937643898747048418031803021017720077516950032972876626055438832648290829228862753177840036834780862832395602509414052165910856059497488825607770127037835955159148522869785209119274056809443455227561062349318200736990743394967627193761469563017065434047059148273332530471641025722977919299224152051819296979253142970493966102048859329721704308918832462672484999376852977633215146702864339402496131890082146354018500280867520501454383472062426713322523784189714192202570052703458174872499968310038599022036348311696374177688576828475081631930178694799586201576814535849998690126909374973048546101050472415590457351730060270983231284541037665048194688725086700344555319962930880818979388909190095139078484101698392318833146684277433560456035570487875236086215451124743729981299635616805317926044044045610503261723103074868822757151902914940401069753996831691411426335606619841449946219891559753192179826333087798974151525906327455412810312909640825259121508672558395653407577953490892512669439913858306513215921152182876526741783002050716421906117022493097672453734330129983073027985418525375514432256643312616947661218888530402340491531682867978486389152250567780262800916873438171460962692185968273030389004191431658611634339946555396432015598853124469358888332430949661237719544637612795926515748018991802906074930819026327856669638534620311235842097193726302702222465608546361007367217342769732773976747770373262657420111892820972669453964967612822920288800401535015727781247093317647832350848418553405221945423587490041869529806812329179782747497928620664668148309691287178783963415239700137028522029932851714866881337046911954054790369457449960197507257767971371015504105604409927352883100144510796688327262113604}
15665  5125279097614967324902229425893293931229355063461639215236394355: {62644,610311,860695,891651,1017055,1032834,1204819,1220466,1329655,1485895,1533602,1595586,1721170,1783074,1861279,1892803,2014851,2065404,2190860,2236663,2422495,2629032,2658970,2847026,2854983,2906994,2957661,3066812,3129800,3172687,3190764,3201895,3521025,3693171,3755760,3785122,3842274,4006144,4067180,4135855,4225230,4381160,4506912,4532410,4602295,4673071,4807731,4818044,4880616,4928805,4963026,5048167,5070276,5257392,5438892,5490693,5522754,5693324,5867625,5914566,6154495,6258800,6882920,7026483,7041150,7385394,7510560,7700167,7743285,7857295,7908274,8011264,8068819,8090642,8133320,8259504,8262451,8449380,8475295,9012672,9033562,9095383,9149985,9291942,9428754,9634856,9699487,9759984,9780483,10139256,10170354,10328691,10839213,10878079,10979982,11406663,11497605,11555695,11558060,11647699,12170323,12264112,12465199,12511543,12512883,12588914,12630055,12903825,12936655,13125487,13687625,13764080,13797126,13856410,13866834,13869672,14238259,14381263,14412711,14711743,14925655,15156066,15223683,15383695,15441452,15484590,15523986,15603381,15925826,16032711,16094589,16425150,16516896,16627692,16639570,16798951,17108391,17448626,17520160,17619283,17746759,17910786,17972455,18460434,18581508,19160225,19249383,19317463,19553750,19710180,19967484,20130152,20340370,20418463,20538812,20679379,20700895,20909167,21024192,21111411,21129122,21146131,21304316,21305455,21320719,21566946,21691219,21758455,21860143,21943442,22646421,22751180,22992270,23151884,23464500,23540767,23553452,23652216,23753091,23867695,23951071,24337522,24408444,24525088,24541383,24841074,25028800,25369495,25492034,25566546,25599583,25643599,25850883,26110146,26131688,26140351,26195023,26568055,26608743,26763319,26960025,27016855,27095359,27145586,27154983,27301416,27302012,27371750,27469303,27590724,27632072,27706399,28157400,28269079,28428994,28453683,28510255,28641234,28757360,29255455,29341160,29398149,29528444,29541970,29702095,29702131,29985122,30034560,30184460,30246559,30250567,30297055,30443394,30458170,30594295,30714093,30806743,30979004,31086081,31677075,31847564,31881666,31929895,32036864,32352030,32420226,32823703,32828871,32846100,32966455,33008805,33074120,33084291,33274124,33705655,33788880,33987127,34212306,34508832,34554322,35033695,35035840,35106546,35209392,35355026,35450364,35475655,35481751,35642514,35843203,36005671,36041472,36101743,36121394,36125119,36132483,36221352,36356466,36549804,36713154,36946255,37208385,37826695,38012490,38128844,38315874,38389663,38446387,38521219,38822436,39102500,39149571,39267212,39415320,39437095,39559746,39580570,39583255,39610566,39688944,39780799,39859688,40012723,40446786,40546656,40749021,40859863,41577487,42040434,42043008,42286834,42570786,42933895,43145107,43209370,43514455,43651797,43705231,43839345,43872007,44043194,44239255,44255720,44335506,44342235,44354631,44511164,44526163,44650062,44842149,44849084,45107695,45335271,45392034,45496520,45614988,45617324,45685855,45856723,45938684,45939859,46544143,46734643,46761968,46799751,46853719,46923000,47298384,47324514,47477203,47496684,47499906,47517943,47591959,47888191,47895994,48279655,48567055,48612716,48856232,48970099,49080847,49171724,49223271,49458962,49508503,49585106,49787685,50051200,50253463,50276383,50507180,50717455,50839845,50848354,50859751,51183585,51503059,51520674,51717895,51745399,51851244,51966425,52102983,52217346,52383322,52579911,52603267,52607214,52788375,52886023,53001295,53087106,53094511,53105804,53106864,53210682,53293683,53794351,53975887,54129234,54229168,54284204,54595824,54823026,54923410,54963261,55204639,55214012,55467321,56056754,56101196,56307600,56310056,56833383,57255895,57538255,57935586,58024399,58280466,58426819,58480783,58502431,58878799,59166183,59396410,59745222,60061440,60072295,60523625,60608616,60827474,60860946,60907826,60932674,61007814,61420302,61474495,61713619,61750879,61950056,62061474,62174095,62359710,62406597,62468407,63242426,63310791,63346050,63348813,63601554,63665794,63849055,63957452,64065536,64070120,64336723,64364143,64525736,64638284,64823455,64967122,65094785,65101495,65628370,65815759,65908092,65970002,66032525,66517024,66583797,66711171,66904855,67243279,67381279,67569120,67662874,67734895,67876243,68124812,68184693,68233351,68425495,68707074,68783842,68977255,69045906,69666055,69693813,69841011,69874172,70207111,70245320,70420034,70465605,70544023,70655660,70682611,70841839,71169411,71275692,71726455,71862463,72007052,72073728,72078885,72086754,72233516,72275042,72364712,72371347,72591453,72628350,72684895,72709383,73140871,73366131,73393999,73769394,73861939,74237750,74238771,74456391,74534636,74608914,74732095,74790002,74831652,74862514,75113959,75163312,75187987,75412495,75548455,75956095,75973683,76015260,76024351,76618866,76868851,76884144,77043703,77108410,77141522,77184991,77470240,77480391,77788146,77988895,78004819,78015619,78113742,78121794,78223145,78417164,78439244,78507802,78554882,78591847,78754044,78863770,78877160,79025985,79239030,79266425,79356319,79614471,79878055,79943474,80072659,80250483,80281855,80285826,80685295,80692879,80709346,81041554,81059762,81082944,81180271,81222655,81281874,81410301,81622514,81625255,81726951,82110594,82618759,82772706,82917343,82968825,82974151,82984071,83030383,83212903,83278952,83551244,83599266,83887625,84112570,84294384,84521632,84558726,84576885,84698354,84786792,84809522,84833095,85044322,85367743,85498495,85856659,86071746,86376812,86434471,86470124,86494662,86991176,87011180,87048643,87154020,87221874,87621055,87956456,88203007,88282255,88500080,88678495,88736805,88852243,88898834,89085300,89206255,89445746,89557383,89678514,89996695,90215344,90494994,90537922,90564483,90654295,90658146,90768967,90817724,90898819,91012186,91036594,91147314,91218312,91237244,91406323,91438003,91566183,91713139,91865576,92326567,92530092,92664341,92751895,92964288,92992550,93308767,93458563,93523682,93586674,93688821,93867774,94041619,94063389,94132162,94242860,94482271,94538883,94557644,94578895,94636524,94652592,94736323,94831182,94865276,95024320,95086836,95112751,95119710,95385141,95533519,95693719,95793343,95853666,96258970,96338226,96360562,96772663,96822354,96917025,96940879,97243202,97255954,97321160,97467186,97692655,97865073,97950306,98054012,98071701,98146172,98242903,98378167,98481026,98810931,98951013,99004114,99059311,99135511,99157484,99278143,99515383,99561079,99562590,99661207,99675871,99971731,...,22444032402385012060384780101603571355236332727589298318049432798227578631090222167093115122431364230812011835118458860889397045550940436336467716779242136826702516181158715058841394129433105888886412890638042348273732434659476033841083553565493304378927050272106871527553857040086937282092109479377401897042739205444657138065507199677724766466877682568450202191794513663034786761480556853633054572390101684471769345959409568349334618766633897735045252956060499816289747435101265737253452347620720913351047287390274747339516799333690407320316620968368822064003149606032288693683117366291867615584150801126879256937230563798089497327749482769604865926706958307126124742880825881691606437003638657211254861759463682484265210515002815878367589855234652116658041664585971175671262406465848120572627047704531526580116275425049459314939083158248972436243843294129766760055252171294248593403764121078248866284089246233238411655190556753932738722784304677813678911085214165182841341593523977301105486115092451440790642204344525598151070588722409998795707461538584466878948836228077728945468879714455740949153073288994582556463378248694008727499065279466449822720054296509103744197835123219531027750421301280752181575208093640069983785676284571288303855079055187262308749952465057898533054522467544561266532865242712622447895268042199379302365221803774998035190364062459572819151575708623385686027595090406474846926811556497572292033087630050516832979944396321228469083363785142708617726152547588478249720026416150340684053355731812854129323176687115594971949453425207976889066066068415754892584654612303234135727854372410601604630995247537117139503409929762174919329837339629788269739499631698461227288859491183119215469364461237888682263008837593480111366930236338769004159870787459769823881728274314790112674503076074632859175533739646508680601495194974609541978127788063271648384964968925421491828332795603510737297524301967729583728375851670394201375310157257191444038278952409545583506287147487917451509919833094648023398279686704038332498646424491856579316956419193889773622028487704359112396228539491785004457801930466853763145790589454053333698412819541511050826014154599160965121655559893986130167839231459004180947451419234380433200602302523591671870639976471748526272627830107832918135381235062804294710218493769674121246892930997002222464536930768175945122859550205542783044899277572300322005570367931082185554186174940296260886651957056523256158406614891029324650216766195032490893170406}
15666  5147955617542214729672143651112079363114127540812184627197785617: {78305,93966,266033,297293,359789,531998,578273,719486,734093,813748,920813,1188868,1293389,1377112,1510193,1549251,1627288,1664813,1830699,2127448,2158253,2300403,2377432,2393379,2581755,2586446,2674611,2680289,2686468,2738575,2753872,2986289,3077933,3098106,3286290,3443789,3504653,3505376,3514526,3687053,3806644,3833515,3875992,3912250,3943548,3988455,4254352,4254398,4270539,4353389,4360491,4504289,4600218,4694700,4715213,4786146,4865633,4924228,5007680,5083975,5123032,5165873,5175998,5315693,5405489,5476450,5495213,5614733,5633640,5677683,5763411,5793773,5910686,5942753,6009216,6022555,6061793,6093998,6100770,6337845,6410308,6507488,6571740,6595889,6617368,6684653,6760368,6798615,6832433,7009856,7097933,7116655,7227066,7251856,7274573,7320924,7363672,7444539,7605414,7737326,7823500,7886088,8100926,8158338,8284131,8430499,8539986,8603650,8645246,8871849,8938289,9227489,9368644,9388200,9803489,9847192,10014080,10166650,10233389,10324380,10561725,10604513,10731098,10746893,10860653,11012672,11078091,11087789,11265840,11455793,11709773,11850593,11862411,12016896,12043570,12135963,12199980,12215789,12240926,12389256,12439853,12571672,12635489,12674070,13013312,13040644,13053389,13108973,13130846,13386413,13519008,13550343,13552493,13560472,13690673,13771588,13937913,14021489,14143131,14213933,14433389,14447575,14452284,14624993,14639976,14788913,14843489,14899886,15115889,15197453,15208884,15251966,15255531,15330140,16062989,16143713,16251233,16331789,16412273,16469973,16683844,16829198,16866989,17003726,17186573,17205100,17337090,17584433,17613883,17700398,17743073,18138413,18374753,18396168,18400973,18489112,18492896,18636593,18883371,18923693,19216948,19301815,19431998,19624289,20208088,20267789,20298244,20646120,20695689,20698648,20728013,20784615,20800251,20804508,21109553,21160289,21376948,21459452,21539789,21900200,21992813,22022528,22170256,22243373,22293389,22617713,22734099,22811188,22865227,22965473,23021486,23162178,23212913,23226885,23285979,23336333,23360993,23697998,23729933,23881048,23888739,24145889,24178063,24372206,24389489,24462413,24613912,24637725,24753389,24775344,24801773,24825953,24941538,24959355,25162690,25665844,25673515,25762733,25881953,26047646,26172939,26238413,26280240,26623312,26630395,26866179,26879966,27016289,27086573,27180173,27296993,27530033,27690651,27708686,27785453,27872262,27873998,27947489,28032256,28132193,28148548,28362353,28438975,28477133,28637489,28755928,28820273,28939855,28979789,29054311,29093489,29330625,29388173,29441815,29565270,29658989,29951226,30173246,30195228,30375533,30397793,30510555,30656360,30808218,31171853,31286000,31369313,31536288,31670788,31693683,31827533,31956474,32022833,32121566,32239073,32346893,32350419,32544592,32664610,32721844,32915163,32946989,33121432,33329453,33519713,34088728,34126770,34127515,34149233,34315889,34467844,34488405,34540090,34564913,34585613,34626989,34727826,34813528,34833389,34874573,34877227,34936289,34997933,35080013,35141489,35163998,35196750,35330178,35478324,35508833,35691533,35792753,35946700,36206644,36395873,36401888,36455789,36506283,36595313,36612666,36676450,36744398,36787632,36910555,37050989,37110113,37261611,37287053,37541489,37543200,37638989,37697393,37730575,37938244,38181293,38188312,38238051,38349819,38723755,38793389,38850353,38932766,39134093,39165219,39197532,39546989,39602993,39770573,39809455,39974513,40046080,40159073,40379489,40416113,40591192,40718379,40916722,40952124,40953018,40979693,41015789,41057625,41195789,41342650,41386086,41448108,41592655,41606753,41819489,42162398,42236100,42258989,42311393,42508888,42643491,42728033,42749203,42770366,42961851,42986093,43071713,43088813,43136040,43226968,43378289,43581233,43631789,43771828,43794800,43933613,44011740,44112388,44249393,44292666,44312955,44496653,44545889,44580446,44595053,44839793,44920973,44977683,45051840,45114989,45179198,45276690,45328526,45355889,45515489,45616408,45665091,45687255,45705953,45800753,46011776,46067789,46254893,46409933,46468506,46579553,46665998,46808728,46945856,47037233,47218289,47263373,47267152,47403998,47450522,47523352,47661055,47710253,47771346,47822499,47989553,48055296,48176644,48284846,48294893,48295136,48367073,48467789,48475288,48528045,48630339,48682289,48733072,48753389,48852593,48878125,48950872,49084015,49133873,49168834,49217633,49269150,49271299,49596398,49611180,49632113,49727789,49824610,49911186,50200289,50293613,50360033,50464286,50558093,50571233,50683320,50793389,50884193,51087832,51154253,51306989,51318459,51370289,51370891,51408173,51721073,51763248,51831483,52053389,52150733,52199428,52235489,52326926,52469198,52553760,52611326,52617953,52659819,52746328,52814088,52918592,52945889,52969073,53003789,53032539,53084513,53175546,53324333,53346989,53380913,53463771,53549453,53660813,53760353,53881133,53924813,53929048,54024686,54062208,54173489,54182091,54206299,54248333,54312173,54332028,54365153,54470513,54534699,54595889,54616673,54824706,54924593,54985313,55055789,55069731,55105889,55319650,55402289,55431533,55470413,55494307,55499489,55528493,55638955,55643789,55926989,55945613,56038253,56053912,56057344,56061355,56202989,56248289,56460019,56620913,56629613,56670398,56761048,56776289,56870650,56878433,56962673,56987789,57018735,57021655,57136973,57153389,57193266,57220766,57251213,57331853,57419633,57423355,57473811,57537773,57607793,57707789,57723053,57905486,57948173,58130273,58151789,58166093,58187489,58202396,58233654,58279373,58452460,58465889,58653750,58680583,58685933,58698989,58783073,58840493,58890989,58900818,58909793,59057633,59075789,59093873,59114008,59122980,59135789,59139508,59224289,59270753,59339619,59370855,59379053,59399198,59415849,59533416,59534126,59655473,59742989,59789532,59833133,59852813,59925473,59963489,59977613,60078989,60145889,60154673,60206606,60244973,60294989,60343853,60347873,60414989,60447028,60453389,60522712,60570893,60592013,60605933,60623153,60656993,60670179,60693293,60725453,60731789,60741998,60753713,60765895,60772193,60819984,60822989,60857453,60860273,60978893,61000673,61007789,61012493,61068593,61070290,61121633,61140593,61162289,61195889,61214513,61236173,61244333,61275233,61288289,61290353,61304813,61322033,61330289,61338989,61342433,61350413,61353953,61354289,61407998,61464655,62202446,62399668,62564000,62597726,63060651,63064512,63099352,63133975,63319123,63328912,63333208,63430251,63856179,64165886,64683998,64814055,65328398,65631028,65767898,66064791,66382255,66383580,66503259,66733406,66766746,66975093,67273626,67786460,67855255,68088051,68244780,68371406,68422482,68425986,68694232,68908026,69017515,69119198,69134992,69243326,69470644,69623128,69872539,70106548,70126495,70142952,70231166,70384500,70387570,70782808,70809152,70843886,70947576,70986771,71058244,71087966,71245026,71249859,71843991,72172312,72794432,72869083,72900206,72919074,73097368,73284348,73757586,73956428,74188443,74377659,75076800,75760770,75777844,76117279,76196366,76272531,76427486,76961899,77247448,77281011,77437570,77707288,77776866,78326019,78574983,78594398,78888244,78910821,78938426,79155998,79602686,79630659,79658706,79660296,79816023,79946815,80081920,80087650,80382379,80657170,80709326,80797855,80811488,81147928,81172003,81193851,81343752,81426306,81893736,82234539,82385115,82748632,82821018,83146280,83208796,83625326,84085131,84151794,84414388,84461400,84465084,84469166,84573998,84802072,85156015,86129198,86742206,86903379,86935354,87249086,87342715,87420699,87806650,87877456,88152398,88319575,88778396,88948228,89094615,89534366,89617833,89631998,90008815,90092160,90117998,90291895,90455890,90473779,90696446,90912924,90983726,91174526,91241211,91291419,91361739,91399011,91459646,91468663,91511721,91609432,91843087,92061208,92130453,92493998,92925084,93092211,93121348,93168295,93419198,93539565,93954140,94594027,94706227,94863639,94892548,95019075,95034256,95402331,95498691,95936178,96098304,96105180,96115672,96543998,96788604,96837800,96889886,96945844,96957426,97061966,97319006,97450683,97821508,98021455,98049055,98359192,98442555,98596450,98862138,98955003,98985028,98999486,99275188,99305602,99410606,99478552,99775536,99818126,...,33666048603577518090577170152405357032854499091383947477074149197341367946635333250639672683647046346218017752677688291334095568326410654504701575168863205240053774271738072588262091194149658833329619335957063522410598651989214050761625330348239956568390575408160307291330785560130405923138164219066102845564108808166985707098260799516587149700316523852675303287691770494552180142220835280449581858585152526707654018939114352524001928149950846602567879434090749724434621152651898605880178521431081370026570931085412121009275199000535610980474931452553233096004724409048433040524676049437801423376226201690318885405845845697134245991624224154407298890060437460689187114321238822537409655505457985816882292639195523726397815772504223817551384782851978174987062496878956763506893609698772180858940571556797289870174413137574188972408624737373458654365764941194650140082878256941372890105646181617373299426133869349857617482785835130899108084176457016720518366627821247774262012390285965951658229172638677161185963306516788397226605883083614998193561192307876700318423254342116593418203319571683611423729609933491873834695067373041013091248597919199674734080081444763655616296752684829296541625631951921128272362812140460104975678514426856932455782618582780893463124928697586847799581783701316841899799297864068933671842902063299068953547832705662497052785546093689359228727363562935078529041392635609712270390217334746358438049631445075775249469916594481842703625045677714062926589228821382717374580039624225511026080033597719281193984765030673392457924180137811965333599099102623632338876981918454851203591781558615902406946492871305675709255114894643262378994756009444682404609249447547691840933289236774678823204046691856833023394513256390220167050395354508153506239806181189654735822592411472185169011754614111949288763300609469763020902242792461914312967191682094907472577447453388132237742499193405266105946286452951594375592563777505591302062965235885787166057418428614318375259430721231876177264879749641972035097419530056057498747969636737784868975434628790834660433042731556538668594342809237677506686702895700280644718685884181080000547619229312266576239021231898741447682483339840979195251758847188506271421177128851570649800903453785387507805959964707622789408941745161749377203071852594206442065327740654511181870339396495503333696805396152263917684289325308314174567348916358450483008355551896623278331279262410444391329977935584784884237609922336543986975325149292548736339755609}
15667  5170731678548531086452836449159788989130649356379355232201625566: {15667,125288,140949,797997,1017185,1079229,1204973,1220622,1423877,1486085,1721390,1783302,1861517,2034110,2065668,2080253,2236949,2409638,2440932,2643329,2659310,2971790,3067204,3191172,3358085,3391493,3442340,3566148,3722558,3785606,3879669,4029702,4130808,4381720,4473326,4482653,4647159,4758305,4844990,4929435,5258064,5271789,5317940,5642069,5694052,5709966,5790197,5813988,5868375,5915322,6133624,6155285,6259600,6345374,6356933,6381528,6381597,6403790,6443213,6900327,7042050,7179219,7386342,7511520,7570244,7684548,7763997,8012288,8012885,8134360,8214675,8231213,8271710,8450460,8606069,8616293,8762320,8866029,9013824,9064820,9140997,9151155,9204590,9346142,9535877,9615462,9636088,9761232,9779375,9857610,9926052,10096334,10140552,10514784,10749089,10840599,10877784,10981386,11000213,11045508,11386648,11408121,11408717,11605989,11710805,11735250,11829132,11865413,12151389,12157853,12237507,12308990,12513149,12517600,12809979,12905475,12967869,13281557,13765840,13931693,14030693,14052966,14082300,14383109,14770788,14786369,15021120,15249975,15400334,15429389,15486570,15714590,15816548,16022528,16096647,16137638,16177973,16181284,16266640,16300805,16519008,16524902,16601453,16739873,16898760,16950590,17214485,17682077,17749037,18025344,18065355,18067124,18111317,18190766,18299970,18361389,18583884,18857508,19011105,19162675,19269712,19398974,19519968,19560966,19696269,19834613,20278512,20340708,20657382,20822789,20854805,20895917,21506375,21537173,21678426,21756158,21862949,21959964,22349829,22813326,22829729,22877949,22995210,23111390,23116120,23295398,23369069,24021185,24340646,24528224,24930398,25023086,25025766,25161437,25177828,25243797,25260110,25372805,25505589,25602869,25635077,25807650,25873310,26005635,26250974,26310269,26550597,26721185,26824315,27098837,27375250,27472829,27528160,27594252,27712820,27733668,27739344,27778949,28476518,28513985,28660493,28762526,28797473,28809269,28825422,28981253,29147997,29423486,29827637,29851310,30312132,30447366,30461837,30767390,30882904,30969180,31047972,31206762,31594853,31629377,31851652,32065422,32082305,32189178,32336813,32850300,33033792,33255384,33279140,33414773,33597902,34216782,34532229,34743267,34897252,35040320,35139233,35185685,35238566,35493518,35517293,35546997,35645669,35821572,35944910,36407969,36558309,36652493,36816629,36920868,37163016,37195277,37412307,37744035,37823597,38320450,38498766,38634926,38791649,38860613,39071469,39107500,39420360,39588485,39914357,39934968,40260304,40319949,40375133,40680740,40836926,40873493,40902305,40957637,41077624,41350817,41358758,41401790,41563029,41582933,41808393,41810997,41818334,42048384,42222822,42258244,42292262,42360149,42415877,42608632,42610910,42641438,42740573,42832013,43084805,43133892,43382438,43516910,43716833,43720286,43886884,44347905,44460893,44607653,44701853,44926839,44933375,45258305,45259869,45292842,45455573,45502360,45525077,45984540,46153037,46212327,46303768,46929000,47081534,47106904,47187917,47304432,47422805,47506182,47735390,47856149,47902142,47934711,48182349,48288929,48675044,48814589,48816888,48996915,49047173,49050176,49082766,49665917,49682148,50057600,50738990,50984068,51133092,51176513,51190155,51199166,51287198,51701766,51724757,51810135,51833573,52091739,52220292,52263376,52270733,52280702,52390046,52465733,52621829,52745997,52795125,52957373,52995267,53136110,53191013,53217486,53526638,53807189,53920050,54033710,54190718,54194309,54291172,54309966,54602832,54604024,54714785,54743500,54918999,54938606,55014675,55116597,55140485,55181448,55211933,55264144,55372577,55379693,55412798,55416557,55465829,56157569,56314800,56538158,56787533,56857988,56907366,57020510,57127013,57282468,57514720,57703733,57833093,58399149,58483757,58510049,58510910,58682320,58763573,58796298,59056888,59083940,59173397,59404190,59404262,59970244,60069120,60107453,60128129,60220805,60368920,60493118,60501134,60594110,60886788,60916340,60920237,61188590,61375083,61428186,61429527,61433573,61613486,61721693,61934957,61958008,62013975,62079129,62172162,63150773,63243597,63354150,63689813,63695128,63763332,63859790,63960197,64073728,64155549,64704060,64763117,64840452,65249285,65647406,65657742,65692200,65932910,66017610,66148240,66168582,66438999,66548248,66636053,66776573,66870669,67411310,67577760,67591517,67768797,67915035,67974254,67992789,67993877,68424612,68586989,69017664,69049877,69108644,69702759,69998997,70067390,70071680,70213092,70418784,70710052,70900728,70951310,70963502,71004437,71105997,71175783,71285028,71657019,71686406,72011342,72082944,72203486,72242788,72250238,72264966,72391457,72405053,72427269,72442704,72712932,72752995,72934277,73065575,73099608,73426308,73482893,73753251,73892510,73903725,73924385,74201813,74394597,74416770,74736915,74824613,74866779,75154253,75367949,75558785,75653390,75696429,75942557,76024980,76034309,76257688,76405373,76631748,76779326,76892774,77042438,77377949,77644872,77999585,78185069,78205000,78299142,78490389,78534017,78534424,78703797,78830640,78874190,78916989,79119492,79161140,79166510,79176173,79221132,79377888,79462853,79561598,79719376,79763319,80025446,80158253,80553557,80893572,81037029,81093312,81498042,81719726,82038785,82237059,82979475,83154974,83370209,84080868,84086016,84101213,84573668,84629117,84674549,84733075,85005597,85141572,85305975,85789899,85831149,85867790,86064293,86200013,86290214,86418740,86838305,86858229,87028910,87043733,87272069,87303594,87350481,87410462,87633185,87678690,87728177,87744014,87980625,88086388,88351227,88478510,88511440,88671012,88684470,88709262,88769453,88822805,89022328,89052326,89098469,89098797,89300124,89301189,89388677,89684298,89698168,89882657,90215390,90309909,90670542,90752837,90784068,90993040,91051649,91112997,91132699,91142093,91229976,91234648,91371710,91605435,91713446,91877368,91879718,92111997,92200277,92338613,92395469,92445535,92477717,92492093,93088286,93281477,93303669,93469286,93523936,93599502,93666797,93707438,93846000,93896589,93981149,94285973,94397813,94596768,94649028,94722305,94828853,94954406,94993368,94999812,95035886,95183918,95776382,95791988,95795693,95819909,96248829,96559310,96568157,96871457,97025997,97134110,97225432,97532477,97712464,97940198,97992597,98161694,98343448,98391053,98446542,98610305,98651847,98917924,99017006,99170212,99575370,99984749,...,44888064804770024120769560203207142710472665455178596636098865596455157262180444334186230244862728461624023670236917721778794091101880872672935433558484273653405032362317430117682788258866211777772825781276084696547464869318952067682167107130986608757854100544213743055107714080173874564184218958754803794085478410889314276131014399355449532933755365136900404383589027326069573522961113707266109144780203368943538691918819136698669237533267795470090505912120999632579494870202531474506904695241441826702094574780549494679033598667380814640633241936737644128006299212064577387366234732583735231168301602253758513874461127596178994655498965539209731853413916614252249485761651763383212874007277314422509723518927364968530421030005631756735179710469304233316083329171942351342524812931696241145254095409063053160232550850098918629878166316497944872487686588259533520110504342588497186807528242156497732568178492466476823310381113507865477445568609355627357822170428330365682683187047954602210972230184902881581284408689051196302141177444819997591414923077168933757897672456155457890937759428911481898306146577989165112926756497388017454998130558932899645440108593018207488395670246439062055500842602561504363150416187280139967571352569142576607710158110374524617499904930115797066109044935089122533065730485425244895790536084398758604730443607549996070380728124919145638303151417246771372055190180812949693853623112995144584066175260101033665959888792642456938166727570285417235452305095176956499440052832300681368106711463625708258646353374231189943898906850415953778132132136831509785169309224606468271455708744821203209261990495074234279006819859524349838659674679259576539478999263396922454577718982366238430938728922475777364526017675186960222733860472677538008319741574919539647763456548629580225349006152149265718351067479293017361202990389949219083956255576126543296769929937850842983656665591207021474595048603935459167456751703340788402750620314514382888076557904819091167012574294975834903019839666189296046796559373408076664997292848983713158633912838387779547244056975408718224792457078983570008915603860933707526291581178908106667396825639083022101652028309198321930243311119787972260335678462918008361894902838468760866401204605047183343741279952943497052545255660215665836270762470125608589420436987539348242493785861994004444929073861536351890245719100411085566089798555144600644011140735862164371108372349880592521773303914113046512316813229782058649300433532390064981786340812}
15668  5193607714136395113198604756421126784118742611690514344797756684: {109627,156610,187932,297331,532066,594586,719578,952027,1045267,1063996,1156546,1438972,1468186,1627496,1695931,1830933,1841626,1973707,2377736,2435227,2582085,2586778,2674953,2754224,3020386,3051165,3098502,3254576,3329626,3535531,3614457,3661398,3717907,3834005,3988965,4254896,4263307,4302925,4316506,4457685,4600806,4715827,4754864,4786758,5163510,5166547,5172892,5346331,5349222,5360578,5366921,5372936,5477150,5507744,5583837,5678409,5794531,5972578,6044553,6062587,6155866,6196212,6240931,6572580,6647425,6709989,6887578,7009306,7010752,7029052,7117565,7267485,7374106,7613288,7667030,7751984,7824500,7887096,7976910,8271187,8431577,8508704,8508796,8541078,8564949,8706778,8707507,8720982,8872983,9008578,9142027,9200436,9389400,9430426,9462805,9518061,9572292,9605685,9731266,9848456,9963317,10015360,10167950,10246064,10331746,10351996,10563075,10631386,10810978,10952900,10990426,11032531,11079513,11229466,11267280,11331025,11355366,11526822,11587546,11821372,11885506,12018432,12045110,12123586,12187996,12201540,12407565,12675690,12820616,13014976,13143480,13191778,13234736,13369306,13520736,13597230,13664866,13802947,13806885,14019213,14019712,14195866,14233310,14423193,14454132,14503712,14549146,14641848,14727344,14786415,14889078,15144501,15199531,15210828,15474652,15647000,15772176,16201852,16253467,16316676,16472079,16568262,16860998,17079972,17207300,17290492,17602875,17743698,17771947,17851147,17876578,18009331,18403531,18454978,18463485,18737288,18776400,18952387,19030507,19606978,19694384,19770685,20028160,20226605,20333300,20466778,20577787,20648760,20883787,21079449,21123450,21209026,21462196,21493786,21721306,22025344,22156182,22175578,22471387,22531680,22583905,22911586,23100501,23216227,23229855,23364331,23419546,23571885,23701186,23724822,24033792,24087140,24206457,24271926,24319987,24399960,24431578,24481852,24778512,24787353,24829531,24879706,25143344,25270978,25348140,25425885,25694827,25909531,26026624,26081288,26106778,26217946,26261692,26772826,27022541,27038016,27100686,27104986,27120944,27184147,27286149,27324331,27381346,27449955,27543176,27875826,28042978,28286262,28427866,28847347,28866778,28895150,28904568,29098461,29249986,29279952,29341449,29577826,29686978,29799772,30201667,30231778,30394906,30402331,30417768,30503932,30511062,30602347,30660280,30986073,31198507,31472285,31527187,31592707,32125978,32148853,32287426,32502466,32517639,32634237,32663578,32824546,32939946,33143587,33367688,33658396,33733978,34007452,34219989,34336913,34373146,34410200,34492815,34590931,34641025,34667085,34674180,34900531,34943097,35168866,35227766,35400796,35486146,35514331,35942921,36276826,36510969,36749506,36792336,36801946,36898747,36978224,36985792,37273186,37282553,37395597,37534629,37538649,37722787,37766742,37847386,37890165,38433896,38475331,38603630,38647267,38711475,38761531,38809965,38863996,39159187,39248578,39376461,39721147,39814565,40054867,40416176,40440931,40515797,40535578,40596488,41062875,41218541,41292240,41391378,41397296,41456026,41569230,41598925,41600502,41609016,41631307,42213427,42219106,42320578,42683227,42714777,42753896,42918904,43079578,43095931,43143789,43198387,43238133,43621565,43706347,43800400,43985626,44045056,44135229,44256787,44340512,44355931,44486746,44504107,44586778,44776965,45235426,45468198,45475387,45622376,45671049,45730454,45808531,45930946,46042972,46151085,46324356,46417867,46425826,46453770,46571958,46672666,46721986,46810143,47060467,47395996,47459866,47762096,47777478,47778521,47997907,48098133,48172867,48283767,48291778,48356126,48389947,48744412,48778978,48884375,48924826,49156531,49227824,49275450,49282027,49506778,49550688,49603546,49651906,49883076,49918710,50302627,50325380,50382331,50396853,50580331,50850925,50893387,51048187,51325173,51331688,51347030,51525466,51674777,51730531,51763906,51915931,52095292,52172467,52345878,52353547,52476826,52560480,52822805,52857849,53094427,53240277,53246624,53260790,53402227,53732358,53759932,53902267,53917365,54032578,54173146,54213257,54258667,54360346,54480931,54593986,54858605,55060066,55186387,55381302,55417372,55570906,55733237,55744524,55747996,55894978,56049307,56064512,56186827,56241331,56264386,56297096,56640931,56724706,56821867,56877950,56954266,56974147,57274978,57391531,57439267,57463027,57480675,57511856,57557347,57640546,57748149,57879710,57952389,57959578,58033627,58108622,58142347,58186978,58229717,58249267,58437187,58661250,58776346,58795531,58852987,58883630,58928587,58947307,59130540,59317978,59391907,59508331,59540947,59791507,59895331,59902452,59995627,60262747,60346492,60361531,60390456,60512227,60588331,60609427,60660907,60711053,60720307,60739531,60751066,60786331,60795586,60843805,60874531,60978427,61015147,61021110,61138267,61230931,61244107,61252531,61255389,61264627,61312720,61357867,61362907,61369531,61616436,62023049,62038137,62102685,62343706,62572000,62727501,62738626,63072576,63334233,63341576,63387366,63438393,63655066,63730085,63912948,63916365,63962157,64045666,64243132,64478146,64693786,64700838,65073657,65089184,65275365,65329220,65443688,65580429,65584181,65830326,65893978,66242864,66658906,66725477,67039426,67863965,67939263,68177456,68253540,68255030,68298466,68429375,68631778,68717621,68935688,68976810,69080180,69129826,69171226,69253978,69455652,69627056,69666778,69749146,69754454,69872578,69995866,70160026,70282978,70327996,70393500,70622301,70660356,70956648,71017666,71072485,71259273,71383066,71585506,71603085,71853213,71893400,72413288,72791746,72803776,72911578,73012566,73190626,73225332,73352900,73488796,73575264,73624149,73821110,73854925,74101978,74220226,74523222,74574106,74962805,75082978,75086400,75277978,75394786,75461150,75876488,76108485,76145425,76362586,76376624,76476102,76699638,76798749,76930797,77447510,77552649,77586778,77700706,77865532,77894537,78268186,78330438,78395064,78421053,78485897,78585069,79093978,79205986,79541146,79618910,79704165,79826229,79830317,79949026,80092160,80289957,80318146,80392697,80758978,80832226,80880075,81050565,81182384,81286077,81436758,81464949,81833444,81904248,81906036,81959386,82031578,82115250,82391578,82407909,82576637,82685300,82772172,82896216,83119197,83185310,83213506,83638978,84324796,84472200,84517978,84622786,84807237,85017776,85072253,85286982,85361049,85456066,85498406,85530765,85540732,85923702,85972186,86050517,86143426,86177626,86272080,86385805,86453936,86756578,87162466,87263578,87543656,87589600,87766365,87867226,88023480,88194447,88224776,88387565,88498786,88585332,88625910,88993306,89091778,89106285,89106393,89160892,89190106,89679586,89841946,89955366,90103680,90229978,90303485,90358396,90553380,90657052,90711778,90739677,90751701,90891165,91030978,91232816,91330182,91374510,91411906,91601506,91782885,92023552,92135578,92142279,92420229,92509786,92819866,92935157,92937012,93159106,93258243,93331996,93617456,93891712,94074466,94436578,94526746,94534304,94807996,94901044,94997357,95031225,95046704,95322110,95420506,95542692,95644998,95789685,95930549,95979106,96110592,96353288,96569692,96589786,96590272,96624521,96734146,96935578,96950576,97056090,97260678,97364578,97466144,97506778,97705186,97756250,97901744,98168030,98177093,98267746,98337668,98435266,98471109,98486613,98538300,98542598,98899365,98951425,99026415,99192796,99222360,99252873,99264226,99455578,99649220,99822372,...,67332097207155036181154340304810714065708998182767894954148298394682735893270666501279345367294092692436035505355376582668191136652821309009403150337726410480107548543476145176524182388299317666659238671914127044821197303978428101523250660696479913136781150816320614582661571120260811846276328438132205691128217616333971414196521599033174299400633047705350606575383540989104360284441670560899163717170305053415308037878228705048003856299901693205135758868181499448869242305303797211760357042862162740053141862170824242018550398001071221960949862905106466192009448818096866081049352098875602846752452403380637770811691691394268491983248448308814597780120874921378374228642477645074819311010915971633764585278391047452795631545008447635102769565703956349974124993757913527013787219397544361717881143113594579740348826275148377944817249474746917308731529882389300280165756513882745780211292363234746598852267738699715234965571670261798216168352914033441036733255642495548524024780571931903316458345277354322371926613033576794453211766167229996387122384615753400636846508684233186836406639143367222847459219866983747669390134746082026182497195838399349468160162889527311232593505369658593083251263903842256544725624280920209951357028853713864911565237165561786926249857395173695599163567402633683799598595728137867343685804126598137907095665411324994105571092187378718457454727125870157058082785271219424540780434669492716876099262890151550498939833188963685407250091355428125853178457642765434749160079248451022052160067195438562387969530061346784915848360275623930667198198205247264677753963836909702407183563117231804813892985742611351418510229789286524757989512018889364809218498895095383681866578473549357646408093383713666046789026512780440334100790709016307012479612362379309471645184822944370338023509228223898577526601218939526041804485584923828625934383364189814945154894906776264475484998386810532211892572905903188751185127555011182604125930471771574332114836857228636750518861442463752354529759499283944070194839060112114997495939273475569737950869257581669320866085463113077337188685618475355013373405791400561289437371768362160001095238458624533152478042463797482895364966679681958390503517694377012542842354257703141299601806907570775015611919929415245578817883490323498754406143705188412884130655481309022363740678792991006667393610792304527835368578650616628349134697832716900966016711103793246556662558524820888782659955871169569768475219844673087973950650298585097472679511218}
15669  5216584159681297504843922712915865260429633642120253188707042313: {31334,234915,250576,281898,798099,891879,1079367,1329995,1424059,1595994,1734819,1798715,1893287,2034370,2080519,2158458,2202279,2409946,2441244,2643667,2762439,2847754,2924867,2972170,3442780,3566604,3723034,3880167,4068220,4131336,4160506,4473898,4530579,4647753,4701319,4819276,4881864,4985651,4994439,5286658,5318620,5492097,5943580,6110939,6134408,6382344,6466115,6474759,6661627,6716170,6782986,6884680,6901209,7132296,7180137,7445116,7512739,7571212,7745265,7759338,8023833,8040867,8059404,8215725,8261616,8617399,8763440,8786315,8946652,8958867,8965306,9199591,9233799,9294318,9516610,9689980,9780625,9858870,10331367,10513959,10516128,10543578,10635880,10635995,11061159,11218039,11284138,11388104,11419932,11500545,11580394,11627976,11736750,11830644,11965365,12267248,12310570,12519200,12690748,12713866,12750919,12763056,12763194,12807580,12811617,12886426,12939995,13060167,13081473,13512867,13691125,13800654,14084100,14145639,14358438,14596899,14772684,14776715,14788267,14998327,15023040,15140488,15234995,15242051,15251925,15369096,15497619,15527994,15947079,16024576,16025770,16216467,16268720,16395127,16429350,16462426,16485639,16543420,16844199,16900920,17033049,17212138,17232586,17290233,17381319,17524640,17732058,17828259,17894347,18027648,18067665,18129640,18185379,18281994,18302310,18303527,18409180,18692284,18806267,19013535,19071754,19230924,19272176,19343315,19522464,19558750,19619899,19715220,19787667,19837159,19852104,20053959,20192668,20252315,20281104,20395845,20497299,21029568,21293799,21349965,21498178,21509125,21613115,21681198,21755568,21823719,21962772,21967859,22000426,22091016,22333617,22374407,22773296,22816242,22817434,22821127,23211978,23421610,23470500,23658264,23730826,24100279,24302778,24315706,24475014,24617980,24852393,25026298,25035200,25291497,25416625,25619958,25810950,25935738,26563114,26615547,26659091,26701067,26814867,26827745,27531680,27682467,27863386,28061386,28105932,28164600,28766218,28812967,29196727,29410467,29541576,29572738,30024587,30042240,30108925,30499950,30602315,30700167,30800668,30858778,30973140,31429180,31633096,31685175,31813539,32045056,32056571,32185411,32193294,32240679,32275276,32355946,32362568,32496167,32533280,32581959,32601610,32827115,32829667,33038016,33049804,33202906,33234273,33263367,33479746,33503987,33629659,33797520,33901180,34367379,34428970,35129319,35364154,35498074,35521927,35551779,35587233,36050688,36130710,36134248,36222634,36381532,36407889,36599940,36647367,36722778,37167768,37249715,37319559,37409659,37554041,37661411,37715016,37906467,38022210,38103991,38129915,38325350,38539424,38782379,38797948,39039936,39121932,39160167,39326919,39392538,39669226,39919579,40137131,40159239,40557024,40651029,40657479,40681416,40964551,41072019,41314764,41645578,41709610,41791834,41813739,42024859,42064467,42072995,42429393,42509315,42641799,43012750,43074346,43300167,43342725,43356852,43512316,43538627,43725898,43874979,43919928,44250995,44366739,44530467,44699658,44825479,44915227,45347667,45592359,45626652,45659458,45755898,45766593,45926179,45990420,46215619,46222780,46232240,46590796,46731787,46738138,47084339,47530307,48042370,48188967,48431139,48579995,48681292,48753699,48995367,49056448,49236819,49259959,49409919,49860796,50046172,50051532,50201867,50322874,50355656,50487594,50520220,50600967,50745610,50881979,51011178,51205738,51270154,51559719,51615300,51746620,51893687,52011270,52501948,52620538,52753299,52841649,53101194,53108219,53229219,53442370,53648630,54133031,54197674,54415239,54750500,54945658,55056320,55124259,55188504,55202919,55423879,55425640,55467336,55478688,55557898,55909779,56557267,56650113,56771079,56953036,57027970,57263227,57320986,57525052,57553715,57594946,57618538,57650844,57905445,57962506,58295994,58420231,58846972,58872867,59244995,59655274,59702620,60318727,60415751,60624264,60803367,60894732,60923674,60930515,61066807,61257859,61534780,61567067,61765808,61894951,61938360,62087067,62095944,62184039,62353845,62400753,62413524,62623019,62906725,63189706,63258754,63328659,63361627,63480867,63516067,63677639,63703304,64130844,64164610,64297307,64378356,64619367,64673626,65119115,65336051,65364199,65700600,65716067,65978439,66067584,66391927,66510768,66558280,66730119,66829546,66880167,67112539,67195804,67199915,67853139,68202297,68433564,68595681,68896419,69064458,69271715,69447859,69486534,69638739,69680655,69684995,69794504,69857937,70008999,70080640,70082979,70278466,70346459,70371370,70477132,70987036,71034586,71093994,71189799,71291338,71643144,71666217,71889820,72191207,72437667,72534189,72815938,72943819,73116618,73168467,73240859,73304986,73387239,73633258,73841736,73913175,74260167,74326032,74390554,74405319,74477859,74824614,74878065,74935739,75269779,75433115,75488070,75647194,76035719,76503179,76600699,76640900,76997532,77020545,77196679,77269852,77288199,77583298,77597939,77645859,77721226,78142938,78215000,78271607,78518817,78715239,78751699,78840720,79176970,79680499,79828714,79869936,79891185,80258051,80303915,80520608,80598537,80639898,80750266,80908099,81048867,81259719,81361480,81540519,81661525,81673852,81746986,81804610,81890979,81915274,82155248,82590099,82598267,82701634,82717516,82803580,83071953,83126058,83165866,83234387,83356359,83616786,83621994,83636668,83842467,84096768,84309127,84396579,84445644,84516488,84584524,84720298,84819251,84831754,85087059,85217264,85221820,85282876,85316925,85431399,85481146,85664026,85912467,86169610,86267784,86350225,86460819,86750147,86764876,86819565,86843419,86939367,87033820,87162933,87280467,87433666,87440572,87773768,87909995,87991875,88164519,88225859,88325445,88695810,88921786,88976967,89215306,89403706,89853678,89866750,90297259,90516610,90519738,90585684,90911146,91004720,91050154,91126599,91193379,91348999,91446667,91531665,91691125,91778587,91809299,91860995,91969080,92306074,92424654,92523827,92607536,93051767,93515559,93858000,94107939,94163068,94213808,94375834,94608864,94845610,95012364,95081049,95137499,95243191,95470780,95482599,95712298,95804284,95869422,96068499,96341191,96364698,96577858,96717219,96804151,97040679,97051257,97331915,97350088,97629178,97633776,97993830,98049139,98094346,98100352,98165532,98745489,98840967,99331834,99364296,99416459,99988359,...,100998145810732554271731510457216071098563497274151842431222447592024103839905999751919018050941139038654053258033064874002286704979231963514104725506589615720161322815214217764786273582448976499988858007871190567231795955967642152284875991044719869705171726224480921873992356680391217769414492657198308536692326424500957121294782398549761449100949571558025909863075311483656540426662505841348745575755457580122962056817343057572005784449852539807703638302272249173303863457955695817640535564293244110079712793256236363027825597001606832941424794357659699288014173227145299121574028148313404270128678605070956656217537537091402737974872672463221896670181312382067561342963716467612228966516373957450646877917586571179193447317512671452654154348555934524961187490636870290520680829096316542576821714670391869610523239412722566917225874212120375963097294823583950420248634770824118670316938544852119898278401608049572852448357505392697324252529371050161555099883463743322786037170857897854974687517916031483557889919550365191679817649250844994580683576923630100955269763026349780254609958715050834271188829800475621504085202119123039273745793757599024202240244334290966848890258054487889624876895855763384817088436421380314927035543280570797367347855748342680389374786092760543398745351103950525699397893592206801015528706189897206860643498116987491158356638281068077686182090688805235587124177906829136811170652004239075314148894335227325748409749783445528110875137033142188779767686464148152123740118872676533078240100793157843581954295092020177373772540413435896000797297307870897016630945755364553610775344675847707220839478613917027127765344683929787136984268028334047213827748342643075522799867710324036469612140075570499070183539769170660501151186063524460518719418543568964207467777234416555507035263842335847866289901828409289062706728377385742938901575046284722417732342360164396713227497580215798317838859358854783126777691332516773906188895707657361498172255285842955125778292163695628531794639248925916105292258590168172496243908910213354606926303886372503981299128194669616005783028427713032520060108687100841934156057652543240001642857687936799728717063695696224343047450019522937585755276541565518814263531386554711949402710361356162523417879894122868368226825235485248131609215557782619326195983221963533545611018189486510001090416188456791753052867975924942523702046749075351449025066655689869834993837787231333173989933806754354652712829767009631960925975447877646209019266827}
15670  5239661452439769644893145364281708622921071529962407398159584095: {47001,219254,313220,359881,375864,422847,453589,594662,640789,1064132,1189172,1386709,1439156,1572469,1904054,2090534,2127992,2313092,2393991,2680981,2877944,2936372,3048181,3051555,3237687,3254992,3391862,3505561,3614919,3661866,3683252,3947414,3961141,4142869,4271631,4303475,4458255,4505461,4755472,4776649,4870454,5085275,5164170,5173556,5349906,5367607,5508448,5584551,5854921,6024095,6040772,6102330,6122869,6197004,6240759,6509152,6648275,6659252,6710847,6745561,7071062,7228914,7322796,7429475,7435814,7668010,7716949,7892629,7929987,7977930,8505241,8509792,8526614,8592469,8605850,8633012,8853721,8915370,8940661,9201612,9287701,9306395,9431654,9464015,9509728,9573516,9806101,9964591,10074255,10174479,10327020,10333094,10345784,10493269,10692662,10698444,10721156,10733842,10745872,10749769,10954300,11015488,11167674,11183315,11356818,11515381,11589062,11639007,11945156,12089106,12112475,12125174,12275161,12311732,12392424,12443209,12481862,12694741,13112521,13145160,13247927,13294850,13419978,13445449,13447959,13694389,13775156,13941477,13942681,14018612,14021504,14025301,14058104,14235130,14272729,14274915,14534970,14748212,14788305,14847541,15092809,15226576,15334060,15337429,15503968,15649000,15774192,15815367,15863435,15953820,16009475,16148149,16542374,16711369,16863154,16926207,17017408,17017592,17082156,17111509,17129898,17370591,17413556,17415014,17441964,17605125,17668681,17745966,18017156,18143449,18284054,18400872,18458521,18465855,18694069,18778800,18860852,18925610,19036122,19070799,19144584,19144791,19211370,19329639,19462532,19552201,19696912,19926634,20030720,20324761,20335900,20492128,20663492,20679275,20700981,20703992,21126150,21166261,21262772,21394249,21537657,21621956,21905800,21980852,22065062,22159026,22299721,22458932,22534560,22662050,22673941,22710732,22748569,22972021,23011475,23053644,23175092,23291991,23365355,23642744,23771012,24036864,24038655,24090220,24247172,24375992,24403080,24644025,24693639,24808921,24815130,25098649,25240835,25351380,25641232,25817929,25818207,25848879,26029952,26032309,26246041,26286960,26317141,26383556,26469472,26598087,26738612,26742229,27024181,27041472,27094489,27194460,27329732,27422991,27453465,27605894,27613770,27678959,28038426,28039424,28317247,28391732,28466620,28607631,28846386,28908264,29007424,29098292,29283696,29338125,29454688,29572830,29712841,29778156,29780341,30289002,30399062,30421656,30451381,30772475,30949304,31115221,31181209,31294000,31378741,31544352,31617467,31967449,32247267,32291989,32403704,32506934,32521797,32633352,32944158,33000639,33136524,33381961,33445429,33721996,34159944,34201429,34224363,34226151,34326421,34414600,34580984,34637641,34817967,34885321,35131849,35132415,35205750,35315989,35487396,35543894,35560501,35596239,35702294,35753156,35803861,35931071,36018662,36454167,36473559,36646549,36712521,36807062,36825289,36909956,36926970,37298761,37474576,37539447,37552800,37592341,37904774,37994099,38000329,38061014,38116249,38231881,38429937,38500835,38716425,38903607,39213956,39286475,39388768,39541370,39597001,39820489,39844671,40056320,40344095,40429141,40453210,40666600,40933556,41029081,41155574,41245081,41297520,41312255,41620309,41767574,41780041,41795079,42092079,42158898,42246900,42307801,42376475,42418052,42828361,42924392,42987572,43085941,43149327,43442612,43948249,44050688,44061199,44297269,44312364,44351156,44359107,44789749,44838601,44942774,45063360,45130201,45167810,45476915,45610441,45749925,45753109,45823172,46201002,46288167,46432454,46459710,46595509,46728662,46779541,46839092,47053429,47143770,47234581,47369689,47402372,47449644,48067584,48174280,48289941,48412914,48497435,48533919,48543852,48599449,48639974,48685129,48799920,48863156,48902415,48963704,49235029,49526089,49557024,49567381,49574706,49649749,49659062,49759412,49804359,49976341,50218261,50219619,50286688,50541956,50696280,50811721,50851770,51198361,51389654,51502489,51643455,51690229,51764821,51819062,52053248,52096921,52162576,52213556,52278901,52435892,52523384,52601929,52708309,52954009,52988821,53046231,53247111,53367001,53545652,53569609,53802709,54045082,54076032,54196065,54201372,54209972,54241888,54290329,54333951,54368294,54390395,54572298,54637621,54648662,54762692,54807071,54854089,54899910,55084167,55086352,55127221,55365109,55453129,55540501,55740391,55751652,55827061,55939669,55967641,56023369,56078809,56085956,56351689,56572524,56855732,57002389,57033315,57176521,57298741,57488025,57514201,57561289,57654601,57694694,57733556,57746761,57778475,57790300,57809136,57949909,58190281,58196922,58238495,58483609,58499972,58559904,58624981,58682898,58704181,58723801,58897141,59027929,59088807,59119189,59155652,59208649,59296309,59373956,59466229,59503839,59599544,60004249,60101269,60141769,60181621,60322201,60383221,60403334,60442441,60463556,60544501,60640729,60651061,60691669,60759961,60789812,60804662,60835536,60851615,60885961,61007864,61022124,61041481,61070191,61082521,61108441,61204694,61225621,61239769,61274329,61289881,61304281,61311049,61320560,61320661,61323721,61326709,61385461,61386901,61387189,61972146,62325995,62397014,62468367,62557715,62564415,62687751,62944570,63054374,63150275,63185414,64251956,64297706,64519125,64574852,64611519,64683275,65004932,65035278,65268474,65327156,65588847,65627435,65649092,65879892,66287174,66735376,67049487,67177319,67316792,67467956,68014904,68438125,68439978,68489187,68633847,68673826,68746292,68820400,68985630,69181862,69282050,69334170,69348360,69801062,69886194,70107207,70337732,70455532,70801592,70972292,71028662,71191295,71885842,71906315,72063555,72553652,73021938,73299967,73499012,73558715,73584672,73603892,73797494,73951927,73956448,73971584,74546372,74565106,74628275,74791194,75069258,75077298,75445574,75484311,75533484,75694772,75731391,75780330,76118415,76516767,76736147,76802047,76808607,76867792,76905231,76918475,76950662,77207260,77294534,77422950,77426327,77523062,77619930,77727992,78016905,78318374,78497156,78752922,78930807,79442294,79629130,79651791,80109734,80163555,80472945,80832352,80881862,81031594,81071156,81192976,81296511,82125750,82418487,82437082,82584480,82782756,82794592,82912052,83138460,83197850,83201004,83218032,83262614,83336847,83994755,84426854,84438212,84641156,85181327,85366454,85429554,85507792,85541955,85837808,85981479,86159156,86191862,86287578,86392419,86396774,86427807,86476266,86943759,87243130,87412694,87443991,87600800,87971252,88090112,88096415,88270458,88513574,88681024,88711862,88722887,88733795,88973492,89008214,89173556,89222119,89482911,89553930,89862275,90470852,90936396,90950774,91244752,91342098,91385511,91460908,91617062,91861892,92085944,92302170,92648712,92835734,92851652,92907540,93143916,93345332,93443972,93620286,94120934,94784559,94791992,94888131,94919732,95009551,95524192,95554956,95557042,95801125,95995814,96196266,96246915,96345734,96567534,96583556,96587315,96712252,96779894,97010439,97488824,97557956,97590571,97768750,97849652,98313062,98455648,98550900,98564054,99013556,99101376,99207092,99303812,99501479,99766152,99837420,...,134664194414310072362308680609621428131417996365535789908296596789365471786541333002558690734588185384872071010710753165336382273305642618018806300675452820960215097086952290353048364776598635333318477343828254089642394607956856203046501321392959826273562301632641229165323142240521623692552656876264411382256435232667942828393043198066348598801266095410701213150767081978208720568883341121798327434340610106830616075756457410096007712599803386410271517736362998897738484610607594423520714085724325480106283724341648484037100796002142443921899725810212932384018897636193732162098704197751205693504904806761275541623383382788536983966496896617629195560241749842756748457284955290149638622021831943267529170556782094905591263090016895270205539131407912699948249987515827054027574438795088723435762286227189159480697652550296755889634498949493834617463059764778600560331513027765491560422584726469493197704535477399430469931143340523596432336705828066882073466511284991097048049561143863806632916690554708644743853226067153588906423532334459992774244769231506801273693017368466373672813278286734445694918439733967495338780269492164052364994391676798698936320325779054622465187010739317186166502527807684513089451248561840419902714057707427729823130474331123573852499714790347391198327134805267367599197191456275734687371608253196275814191330822649988211142184374757436914909454251740314116165570542438849081560869338985433752198525780303100997879666377927370814500182710856251706356915285530869498320158496902044104320134390877124775939060122693569831696720551247861334396396410494529355507927673819404814367126234463609627785971485222702837020459578573049515979024037778729618436997790190767363733156947098715292816186767427332093578053025560880668201581418032614024959224724758618943290369645888740676047018456447797155053202437879052083608971169847657251868766728379629890309789813552528950969996773621064423785145811806377502370255110022365208251860943543148664229673714457273501037722884927504709059518998567888140389678120224229994991878546951139475901738515163338641732170926226154674377371236950710026746811582801122578874743536724320002190476917249066304956084927594965790729933359363916781007035388754025085684708515406282599203613815141550031223839858830491157635766980646997508812287410376825768261310962618044727481357585982013334787221584609055670737157301233256698269395665433801932033422207586493113325117049641777565319911742339139536950439689346175947901300597170194945359022436}
15671  5262840031557446460214608183480455677717248226820911899039706555: {15671,62668,328881,391525,469830,501152,563796,891993,1330165,1486465,1596198,1783758,1798945,1861993,1893529,2158734,2237521,2518201,2659990,2848118,2856081,2891365,2925241,3135801,3191988,3268969,3456661,3469638,3597430,3670465,3786574,4068740,4161038,4316916,4404558,4604065,4819892,4882488,5087793,5287334,5329489,5492799,5524878,5695508,5849734,5892133,5921121,5944340,6466945,6829873,6885560,7044169,7133208,7305681,7446068,7550965,7746255,7760334,8024859,8136440,8262672,8321012,8324065,8947796,9052561,9061158,9098881,9153495,9295506,9402638,9638552,9763728,9971302,9988878,10125049,10417873,10573316,10606593,10637240,10791265,10843371,10984194,11153721,11502015,11887160,11966895,12221878,12268816,12300841,12469993,12764688,12789921,12908775,12932230,12949518,13323254,13373055,13401445,13432340,13539889,13565972,13692875,13769360,13802418,14056501,14147481,14264592,14360274,14717401,14890232,14890393,14931445,15025478,15142424,15389665,15490530,15499641,15518676,16038993,16047666,16081734,16100763,16118808,16431450,16523232,16751511,16864681,17035227,17218945,17234798,17286049,17383593,17523265,17526880,17572630,17893304,17917734,17930612,18013333,18115993,18133659,18187761,18399182,18435265,18467598,18549589,18588636,18645649,18722793,18808681,19033220,19167575,19336021,19379960,19561250,19717740,19942275,20129967,20662734,20687401,21018769,21027918,21032256,21087156,21271760,21271990,21328993,21352695,21631441,21766945,21802455,22122318,22436078,22521445,22568276,22776208,22839864,23001090,23160788,23255952,23473500,23576065,23661288,23930730,24010321,24328165,24534496,24552313,24621140,24813561,25038400,25294731,25381496,25419875,25422529,25427732,25501838,25526112,25526388,25615160,25623234,25694847,25772852,25829365,25879990,26120334,26122521,26162946,26442481,26578465,26618949,26662513,27025734,27027445,27080641,27229801,27382250,27426081,27476065,27562789,27601308,27786121,28073665,28168200,28288873,28291278,28353241,28388415,28460641,28497649,28554183,28716876,28817055,28968865,29193798,29545368,29553430,29576534,29713765,29842369,29854261,29889951,29996654,30028441,30046080,30112775,30258361,30280976,30308965,30469990,30484102,30503850,30554341,30738192,30995238,31055988,31489201,31689225,31849273,31894158,32049152,32051540,32432934,32537440,32790254,32836441,32858700,32924852,32959573,32971278,32979445,33086840,33097593,33238539,33423265,33522793,33688398,33801840,33844129,33993075,34066098,34162165,34267369,34424276,34465172,34580466,34694281,34762638,35049280,35464116,35489665,35583275,35656518,35788694,36055296,36135330,36259280,36370758,36372865,36563988,36604620,36607054,36818360,37222695,37384568,37450513,37558843,37612534,38027070,38143508,38246401,38404561,38461848,38544352,38686630,38938069,39044928,39117500,39239798,39430440,39498553,39539401,39575334,39595621,39674318,39704208,40107918,40385336,40504630,40562208,40791690,40994598,41361493,41408841,41420655,42057639,42059136,42152495,42587598,42699930,42843241,42905209,42996356,43018250,43226230,43269579,43362396,43511136,43647438,43925544,43935718,44000852,44182032,44359245,44667234,44691445,44748814,45292249,45433503,45519589,45541969,45546592,45598593,45632484,45634868,45642254,45957961,46137445,46423956,46843220,46872001,46941000,47316528,47461652,47610421,47757121,47868601,48200558,48605556,48631412,48652993,48760401,48875161,48950028,49017445,49235960,49416237,49704786,50052596,50070400,50369689,50582994,50727541,50833250,51166945,51239916,51454741,51621900,51871476,52149601,52508929,52623673,52808625,53022565,53126228,53231094,53315841,53318182,53355481,53381881,53402134,53553441,53629734,53655490,53734465,53821081,54027993,54303265,54391081,55063360,55210593,55221601,55364934,55390455,55394041,55438945,55726772,55812889,55968049,56107969,56122772,56172181,56211864,56329200,56709109,56857161,57091521,57278965,57532436,57625934,58393454,58449721,58548865,58820934,58902193,58926289,59083152,59145476,59252965,59312055,59437081,59513041,59532793,60049174,60084480,60217850,60625441,60679815,60999900,61078945,61204630,61400334,61471393,61601336,61717556,61733361,61946280,61951393,62199265,62651361,62722561,62858360,63147061,63177445,63238347,63266192,63370350,63627078,64090112,64113142,64362001,64370822,64386588,64389121,64481358,64550552,64711892,64725136,64992334,65066560,65101249,65163918,65203220,65266945,65344609,65544865,65570521,65654230,65659334,66076032,66099608,66405812,66468546,66526734,66653521,66932065,66945253,66959492,67007974,67259318,67307449,67414161,67433761,67595040,67751715,67762465,67802360,68011993,68453365,68734758,68813161,68857940,69301503,69648681,69689565,69990433,70008481,70092993,70107445,70245769,70258638,70715655,70728308,70787593,70869481,70996148,71043854,71069665,71103558,71174466,71400433,72101376,72166945,72237875,72261420,72268496,72410293,72445268,72526201,72619371,72763064,72815778,72959961,73124965,73199880,73294734,73436821,73445556,73447369,73944565,74152441,74217445,74335536,74362059,74488593,74499430,74639118,74819318,75108082,75322822,75430032,75579445,75812934,75987265,76044420,76207982,76259830,76277655,76513141,76650700,77074129,77078848,77084481,77215333,77564758,77595896,77728593,78046441,78079872,78243864,78320334,78554293,78613201,78622513,78653838,78785076,79338452,79839158,80103721,80274262,80314945,80318478,80476441,80575201,80718565,81067623,81114048,81154789,81256165,81281761,81302058,81314958,81362832,81552441,81658945,81858447,81929102,81972993,82061365,82144038,82349865,82378921,82629528,82942993,82949521,83218729,83291156,83419220,83583668,83627478,84049718,84128934,84145990,84334945,84858786,85018630,85283598,85302721,85316881,85503553,85583089,85793089,85932865,86025500,86148692,86542041,86600334,86685450,86713704,86761609,87024181,87024632,87077254,87083161,87294601,87295383,87451796,87749958,87839856,87922165,87962881,88024347,88069415,88501990,88715365,88733478,89060934,89121553,89399316,89650958,89830454,90295993,90605001,90692065,90695334,90976201,91166761,91184718,91206993,91253304,91318916,91511796,91533186,91807041,91852358,91873765,91980840,92004865,92430049,92431238,92445560,92464480,92501593,92958219,93181592,93182965,93463574,93476276,93595521,94079881,94168678,94310401,94416855,94454569,94581561,94618465,94778121,95060614,95375593,95390401,95570593,95731801,95844841,96084740,96377934,96446559,96509075,96862278,96980401,97159990,97326361,97362584,97507398,97552917,97558993,97902711,97990734,98014009,98112896,98121445,98473638,98519918,98819838,98965861,99236929,99429481,99430761,99599701,99721592,...,201996291621465108543463020914432142197126994548303684862444895184048207679811999503838036101882278077308106516066129748004573409958463927028209451013179231440322645630428435529572547164897952999977716015742381134463591911935284304569751982089439739410343452448961843747984713360782435538828985314396617073384652849001914242589564797099522898201899143116051819726150622967313080853325011682697491151510915160245924113634686115144011568899705079615407276604544498346607726915911391635281071128586488220159425586512472726055651194003213665882849588715319398576028346454290598243148056296626808540257357210141913312435075074182805475949745344926443793340362624764135122685927432935224457933032747914901293755835173142358386894635025342905308308697111869049922374981273740581041361658192633085153643429340783739221046478825445133834451748424240751926194589647167900840497269541648237340633877089704239796556803216099145704896715010785394648505058742100323110199766927486645572074341715795709949375035832062967115779839100730383359635298501689989161367153847260201910539526052699560509219917430101668542377659600951243008170404238246078547491587515198048404480488668581933697780516108975779249753791711526769634176872842760629854071086561141594734695711496685360778749572185521086797490702207901051398795787184413602031057412379794413721286996233974982316713276562136155372364181377610471174248355813658273622341304008478150628297788670454651496819499566891056221750274066284377559535372928296304247480237745353066156480201586315687163908590184040354747545080826871792001594594615741794033261891510729107221550689351695414441678957227834054255530689367859574273968536056668094427655496685286151045599735420648072939224280151140998140367079538341321002302372127048921037438837087137928414935554468833111014070527684671695732579803656818578125413456754771485877803150092569444835464684720328793426454995160431596635677718717709566253555382665033547812377791415314722996344510571685910251556584327391257063589278497851832210584517180336344992487817820426709213852607772745007962598256389339232011566056855426065040120217374201683868312115305086480003285715375873599457434127391392448686094900039045875171510553083131037628527062773109423898805420722712325046835759788245736736453650470970496263218431115565238652391966443927067091222036378973020002180832376913583506105735951849885047404093498150702898050133311379739669987675574462666347979867613508709305425659534019263921851950895755292418038533654}
15672  5286120338077163563088962950934480126077861756615662956669798615: {78335,94002,172271,359927,438508,453647,484871,626440,672047,704745,719762,751728,827807,845694,907178,1107671,1189324,1281578,1386887,1603607,1758167,2035871,2128264,2378344,2394297,2675637,2773247,2773418,2878312,3079127,3144938,3238101,3262271,3536447,3597287,3808108,3989985,4173671,4181068,4255984,4272177,4324871,4626184,4777271,4787982,4807367,5085925,5204457,5361962,5396145,5407607,5497367,5679861,5706527,5755888,5855687,5872744,6024865,6096362,6103110,6123671,6241557,6242567,6475374,6509984,6568871,6606837,6687287,6783724,7011122,7119385,7229838,7277447,7323732,7366504,7430425,7571327,7894828,7922282,7922927,7931001,8185871,8285738,8287317,8433733,8543262,8606950,8622671,8774601,8916510,9010922,9028727,9307585,9317807,9510944,9553298,9634871,9740908,9893567,10170550,10328340,10347112,10401265,10699812,10735214,10950287,11016896,11092247,11169102,11184745,11640501,11709842,12048190,12081544,12192671,12204660,12245738,12304847,12394008,12481518,12724367,13018304,13028953,13216645,13249621,13296550,13318504,13421694,13491122,13558007,13591737,13861871,13943259,14103957,14142124,14457828,14645592,14858950,14871628,14931407,14956953,14983317,15122087,15203687,15336020,15366671,15433898,15656641,15785258,15859974,15955860,16150367,16338527,16419047,16476291,16740407,16790425,16957465,17010482,17019584,17053228,17184938,17211700,17266024,17273447,17671127,17707442,17830740,17881322,18014327,18332817,18403224,18461087,18575402,18612790,18722807,18863308,18928030,19019456,19147032,19398345,19424277,19612202,19929182,19984881,20148510,20276327,20348958,20353247,20634671,20654040,20666188,20691568,20703627,20986538,21245327,21385324,21396888,21442312,21467684,21491744,21499538,21540411,21548927,21908600,22030976,22208809,22335348,22366630,22413265,22527671,22538217,22713636,22776671,23030762,23178124,23235795,23278014,23296967,23791525,23862767,23890312,24071499,24122601,24178212,24224950,24250348,24253871,24472967,24550322,24623464,24647175,24784848,24836687,24886418,24963724,25342871,25389482,25845527,25852197,26225042,26290320,26320967,26358945,26495854,26589700,26746127,26769671,26839956,26876601,26890898,26895918,27098447,27262247,27379007,27388778,27550312,27598773,27701397,27797687,27882954,27885362,27959807,28037224,28043008,28050602,28116208,28210345,28282871,28470260,28545458,28549830,28950985,29069940,29341875,29496424,29576610,29672207,29695082,29874671,30185618,30210671,30453152,30455927,30668120,30674858,30776425,30994101,31007936,31119887,31207871,31298000,31541877,31548384,31630734,31645871,31726870,31784665,31907640,31907985,32018950,32102327,32216065,32296298,32711497,33084748,33153671,33183477,33422738,33471671,33654117,33726308,33766847,33852414,34034816,34035184,34081367,34164312,34223018,34259796,34501635,34642967,34725671,34741182,34827112,34830028,34883928,34911287,34952447,35014127,35157767,35210250,35219207,35337169,35337362,35341871,35491932,35525327,35566007,35896095,36034312,36232607,36286898,36472847,36552671,36568108,36801744,36917042,36931710,37127567,37388138,37557600,37715207,37721704,37851220,38025671,38072244,38141598,38199407,38252757,38289168,38289582,38422740,38434851,38602271,38659278,38811887,38819985,38868887,38925064,39104402,39152807,39180501,39244419,39393824,39622007,39733871,39853268,40061440,40064425,40104671,40380671,40453967,40538601,40563671,40649522,40671800,40818527,40984256,41073375,41089847,41156065,41215847,41326984,41358550,41401962,41407984,41466671,41644871,42016487,42252300,42262271,42332207,42332522,42436917,42463993,42525544,42697271,42788498,42852647,43030345,43075314,43081465,43110167,43212671,43243912,43653527,43720871,43790697,43811600,43961704,44130124,44221871,44304671,44318052,44330145,44364801,44453207,44568287,44599442,44617487,44862407,44902117,44917864,44994981,45069120,45324100,45347882,45378887,45421464,45497138,45522671,45704985,45726153,45755775,45824087,45944042,46022950,46107288,46138247,46350184,46492857,46583982,46730710,47076671,47285488,47287847,47392847,47542024,47679385,47838407,47841237,48073728,48077310,48180440,48189671,48392447,48494344,48622271,48649401,48707927,48751984,48806160,48821687,48896875,49185381,49288050,49387278,49410527,49456917,49617842,49630260,49740671,50197298,50360567,50426927,50481670,50532597,50702760,50950607,51099147,51282464,51436247,51635858,51636414,51697758,51712127,51774287,51870699,52059904,52064618,52082087,52118687,52143957,52264367,52492082,52573920,52634282,52767112,52894007,52938944,52975487,53033447,53196174,53410967,53477224,53478671,53484458,53484777,53683041,53691167,53745445,53901169,53988167,54048362,54082944,54188978,54202995,54300671,54388920,54501767,54556137,54659464,54833927,54845982,54874871,54906930,54910581,54986807,55001065,55211788,55227540,55227671,55357918,55463927,55531967,55561007,55705127,55847447,55960007,56043671,56076852,56078848,56089871,56263607,56281727,56317871,56418801,56481733,56634494,56783464,56933240,57013871,57022247,57040605,57043585,57047327,57215262,57261671,57310367,57342671,57414887,57430847,57502271,57533807,57580871,57666407,57692772,57743327,57804287,57816528,57837157,57857207,58014848,58029945,58072271,58137647,58188047,58196584,58223807,58461671,58502687,58554025,58563671,58567392,58586869,58676250,58723127,58762271,58859697,58909376,58947407,59046671,59113727,59131847,59145660,59203607,59227271,59280047,59309087,59327065,59363001,59425682,59484671,59511477,59534207,59545127,59556312,59560682,59593871,59673671,59782367,59797607,59827871,60017567,60022271,60050327,60114671,60119207,60132767,60161877,60285647,60376727,60396887,60412871,60467807,60547271,60578004,60633767,60675287,60688871,60756945,60774047,60789265,60798124,60843312,60874367,60902762,60903047,60933671,60944567,61012271,61034447,61051247,61063007,61097087,61125167,61187535,61254671,61276871,61320527,61327271,61338887,61342871,61348607,61390127,61396007,61400687,61401047,61491897,61544950,61898608,62230442,62362418,62565745,62588000,62757482,63088704,63234934,63667681,63881397,63934898,64049895,64494534,64527375,64583978,64771993,64807408,64839345,65013868,65043594,65266704,65471157,65888316,65903577,66001278,66273048,66407785,66763922,66890858,67000851,67123221,67443992,67896409,68319888,68402858,68448726,68452302,68463381,68652842,68829200,69161968,69275282,69635934,69658465,69770642,70153465,70263698,70264830,70411500,70631978,70974792,71087788,71121002,71192478,71404588,71506312,71607722,71862142,71915545,72037324,72300837,72908334,72947118,73293098,73425042,73614124,73650578,73819912,73853940,73931845,74557179,74597522,74949152,75078894,75080533,75105600,75184682,75809548,75874491,75988198,76000658,76122028,76146553,76232498,76249875,76463762,76859874,77001670,77146945,77432850,77807214,78427912,78572950,78777536,79082740,79194002,79391377,79640978,79689342,79846641,79977273,80103201,80112640,80444601,80483235,80688190,80858282,80889865,80906420,81203221,81333200,81504025,81533893,81867112,82058162,82311148,82490162,82595040,82624510,83007265,83047401,83240618,83535148,83560082,83590158,83699365,84184158,84317796,84493800,84615602,84752950,84836104,85192261,85656722,85763929,85848784,85975144,86072425,86171882,86298654,86438901,86885224,87256393,87580801,87590181,87896498,88101376,88122398,88231401,88410385,88594538,88624728,88702312,88718214,88745185,89579498,89677202,89885548,90073761,90126720,90260402,90326775,90335620,90556585,90953830,91220882,91499850,91503841,91506218,91646344,91806945,91878409,92100501,92402004,92576334,92864908,92919420,93191018,93457324,93559082,93678184,94106858,94287540,94469162,94739378,94804744,94899288,95055525,95440617,95813375,96135168,96169713,96348560,96556233,96579882,96722037,96825828,96994870,97067838,97087704,97198898,97279948,97370258,97488501,97599840,97726312,97745877,97804830,97927408,98470058,98481345,98489001,99052178,99114048,99134762,99149412,99173065,99299498,99318124,99518824,99608718,99667813,99702819,99790101,99952682,...,302994437432197662815194531371648213295690491822455527293667342776072311519717999255757054152823417115962159774099194622006860114937695890542314176519768847160483968445642653294358820747346929499966574023613571701695387867902926456854627973134159609115515178673442765621977070041173653308243477971594925610076979273502871363884347195649284347302848714674077729589225934450969621279987517524046236727266372740368886170452029172716017353349557619423110914906816747519911590373867087452921606692879732330239138379768709089083476791004820498824274383072979097864042519681435897364722084444940212810386035815212869968652612611274208213924618017389665690010543937146202684028891149402836686899549121872351940633752759713537580341952538014357962463045667803574883562471910610871562042487288949627730465144011175608831569718238167700751677622636361127889291884470751851260745904312472356010950815634556359694835204824148718557345072516178091972757588113150484665299650391229968358111512573693564924062553748094450673669758651095575039452947752534983742050730770890302865809289079049340763829876145152502813566489401426864512255606357369117821237381272797072606720733002872900546670774163463668874630687567290154451265309264140944781106629841712392102043567245028041168124358278281630196236053311851577098193680776620403046586118569691620581930494350962473475069914843204233058546272066415706761372533720487410433511956012717225942446683005681977245229249350336584332625411099426566339303059392444456371220356618029599234720302379473530745862885276060532121317621240307688002391891923612691049892837266093660832326034027543121662518435841751081383296034051789361410952804085002141641483245027929226568399603130972109408836420226711497210550619307511981503453558190573381556158255630706892622403331703249666521105791527007543598869705485227867188120185132157228816704725138854167253197027080493190139682492740647394953516578076564349380333073997550321718566687122972084494516765857528865377334876491086885595383917746777748315876775770504517488731726730640063820778911659117511943897384584008848017349085283139097560180326061302525802468172957629720004928573063810399186151191087088673029142350058568812757265829624696556442790594159664135848208131084068487570253639682368605104680475706455744394827646673347857978587949665890600636833054568459530003271248565370375259158603927774827571106140247226054347075199967069609504981513361693999521969801420263063958138489301028895882777926343632938627057800481}
15673  5309502814947088825164522785515526749683065398793542445818161078: {31342,125336,141003,548135,657762,783050,939660,1002304,1079643,1127592,1268541,1360767,1486655,1783986,1862231,1922367,2081051,2237807,2518523,2644343,2660330,2972930,3192396,3269387,3457103,3567516,3597890,3723986,3787058,3863327,4047911,4160127,4317468,4475042,4717407,4760135,5036402,5138651,5226335,5319980,5696236,5712162,5782730,5850482,6271602,6298487,6383976,6445691,6537938,6913322,6939276,7181973,7194860,7340930,7387787,7573148,8042943,8137480,8322076,8324927,8479655,8633832,8809116,9053723,9144543,9154665,9208130,9639784,9713061,9764976,9824351,9868535,10175586,10468271,10516683,10571351,10574668,10658978,10753223,10844757,10985598,11049756,11136347,11391016,11653691,11699468,11784266,11842242,11883423,11888680,11965967,12176135,12428607,12814893,12910425,12933890,13374765,13516383,13541627,13659746,13771120,13937051,14088338,14266416,14329947,14611362,14892136,15101930,15107771,15255825,15435323,15492510,15520668,15710207,16001687,16049718,16102821,16272880,16525344,16642024,16648130,16746311,16753653,17564763,17628347,17677655,17895592,18072285,18105122,18122316,18197762,18306990,18368607,18589535,18591012,18722277,18762023,18805276,19170025,19277104,19338503,19454447,19527456,19828871,19942604,19944825,19977756,20132541,20236683,20250098,20428967,20835746,20904023,21021467,21146632,21213186,21274480,21316535,21514625,21545531,21582530,21610847,21686742,21968388,22035767,22288425,22307442,23004030,23150847,23579135,23677887,23774320,23789961,23933790,24013403,24106523,24443756,24532571,24537632,24601682,24939986,25515723,25529376,25579842,25656791,25763771,25777407,25809371,25817550,25832735,25864460,25899036,26561163,26646508,26731655,26746110,26802890,26821983,26834605,26864680,27079778,27131944,27385750,27538720,27566327,27604836,27863103,27919185,28113002,28294962,28392045,28501307,28529184,28720548,28972655,29418303,29434802,29463671,29780464,29780786,29862890,29893773,30044807,30050956,30222765,30284848,30312935,30433307,30473723,30523437,30558263,30779330,30981060,30999282,31037352,31204655,31479807,31493243,31530023,32077986,32095332,32163468,32201526,32237616,32249307,32838143,32862900,33006491,33046464,33237125,33366527,33503022,33549945,33635303,33729362,34059431,34070454,34437890,34469596,34546143,34572098,34767186,34917021,35046530,35053760,35145260,35232647,35587825,35786608,35835468,35861224,35861771,36026666,36161111,36231986,36267318,36337425,36375522,36798364,36825483,36870530,36935196,37099178,37177272,37209851,37291298,37329627,37445586,37466651,37617362,37838423,37871867,38066440,38084223,38335150,38466491,38595551,38672042,38759920,38806703,38961287,39122500,39303131,39337563,39435480,39743781,39884550,39997607,40033307,40259934,40336347,40343877,40556411,40837487,41083167,41325468,41355935,41374802,41599271,41824431,41828043,42037538,42055836,42064512,42075903,42157885,42174312,42432551,42543520,42543980,42657986,42705390,42818187,42824745,42931103,43262882,43533890,43537535,43604910,44244636,44364915,44542623,44872156,45042890,45136552,45278427,45552416,45679728,45710135,45880571,46002180,46012287,46171223,46227551,46321576,46420967,46511904,46568087,46728383,46792571,46947000,47152130,47314025,47322576,47446101,47501627,47590305,47827031,47861460,48020642,48028425,48444447,48656330,48658871,48995291,49068992,49104626,49242280,49588667,49627122,49685531,49816585,50076800,50134107,50302247,50589462,50762992,50778621,50839750,50845058,50855464,50922011,51003676,51052224,51052776,51230320,51246468,51334527,51389694,51545704,51658730,51759980,52111773,52240668,52245042,52325892,52815375,52826747,52846607,52884962,53006043,53156930,53211647,53237898,53325026,53822327,54051468,54054890,54161282,54430347,54459602,54764500,54852162,54952130,55125578,55162655,55202616,55375563,55394183,55397565,55572242,55820171,55945223,56082207,56147330,56336400,56571983,56577746,56582556,56655125,56695487,56706482,56776830,56921282,56995298,57108366,57212397,57433752,57434373,57634110,57865271,57937730,57988917,58387596,58656603,58786607,59013493,59090736,59106860,59153068,59427530,59475407,59684738,59708522,59779902,59993308,60056882,60057311,60092160,60225550,60516722,60561952,60617930,60939980,60968204,60974283,61007700,61108682,61476384,61910987,61990476,62037825,62056007,62102943,62111976,62568023,62620391,62730767,62978402,62990171,63378450,63498783,63698546,63788316,64098304,64103080,64182747,64592423,64612971,64865868,65070167,65074880,65580508,65672882,65717400,65849704,65919146,65942556,65958890,65960687,66173680,66195186,66477078,66536651,66846530,66899163,66935087,67045586,67308071,67376796,67603680,67688258,67843847,67986150,68021823,68132196,68245707,68324330,68534738,68624423,68769083,68848552,68916063,68930344,69014735,69034425,69076943,69160932,69388562,69525276,69875973,70096065,70098560,70243823,70576127,70581071,70719227,70928232,70979330,71166550,71313036,71562167,71577388,71633723,72110592,72115965,72270660,72518560,72741516,72745730,73127976,73209240,73214108,73636720,73932075,73959503,74080917,74126663,74231591,74426763,74445390,74769136,74901026,74925467,75117686,75225068,75228251,75295947,75722505,75997655,76024571,76054140,76064183,76287016,76492802,76809122,76908827,76923696,77088704,77225447,77373260,77408507,77453787,77454621,77546637,77614523,77876138,78089856,78096927,78235000,78479596,78738123,78772343,78860880,78951423,78997106,79078802,79125083,79150668,79191242,79207067,79348636,79408416,79545167,79701071,79794261,80106431,80190551,80215836,80226687,80770672,80929151,81009260,81072543,81124416,81267335,81283467,81583380,81968411,81989196,82076447,82184411,82268973,82360395,82722986,82743383,82817682,82841310,82954151,83017727,83036877,84115278,84118272,84304990,84951741,85175196,85399860,85510523,85514687,85686482,85712783,85810418,85822893,85992712,86036500,86452460,86479247,86539158,86724792,86751671,87022272,87078971,87094667,87294876,87634703,87762551,87851088,87871436,88001704,88014375,88294607,88364064,88448423,88718490,88859735,89138523,89255735,89334468,89341023,89382890,89497628,89607047,89985071,90046655,90584498,90816431,90867006,91039178,91083938,91087607,91093184,91197186,91264968,91269263,91269736,91284508,91354143,91373723,91485371,91762811,91915922,92017655,92236703,92274890,92317425,92847912,93317663,93345663,93543627,93686440,93704891,93744002,93882000,94136223,94260347,94633056,94761935,94786571,94852401,94867451,94923304,95152535,95220842,95267867,95388071,95514242,95563271,95737202,95834711,95902347,96060263,96401116,96741801,96875967,97211112,97262824,97305986,97520802,97565391,97750322,97900056,97941383,98034890,98150423,98349407,98429711,98471920,98832474,98853425,99001917,99409572,99497531,99568271,...,403992583242930217086926041828864284394253989096607369724889790368096415359623999007676072203764556154616213032132259496009146819916927854056418902026358462880645291260856871059145094329795905999955432031484762268927183823870568609139503964178879478820686904897923687495969426721564871077657970628793234146769305698003828485179129594199045796403798286232103639452301245934626161706650023365394982303021830320491848227269372230288023137799410159230814553209088996693215453831822783270562142257172976440318851173024945452111302388006427331765699177430638797152056692908581196486296112593253617080514714420283826624870150148365610951899490689852887586680725249528270245371854865870448915866065495829802587511670346284716773789270050685810616617394223738099844749962547481162082723316385266170307286858681567478442092957650890267668903496848481503852389179294335801680994539083296474681267754179408479593113606432198291409793430021570789297010117484200646220399533854973291144148683431591419898750071664125934231559678201460766719270597003379978322734307694520403821079052105399121018439834860203337084755319201902486016340808476492157094983175030396096808960977337163867395561032217951558499507583423053539268353745685521259708142173122283189469391422993370721557499144371042173594981404415802102797591574368827204062114824759588827442573992467949964633426553124272310744728362755220942348496711627316547244682608016956301256595577340909302993638999133782112443500548132568755119070745856592608494960475490706132312960403172631374327817180368080709495090161653743584003189189231483588066523783021458214443101378703390828883357914455668108511061378735719148547937072113336188855310993370572302091199470841296145878448560302281996280734159076682642004604744254097842074877674174275856829871108937666222028141055369343391465159607313637156250826913509542971755606300185138889670929369440657586852909990320863193271355437435419132507110765330067095624755582830629445992689021143371820503113168654782514127178556995703664421169034360672689984975635640853418427705215545490015925196512778678464023132113710852130080240434748403367736624230610172960006571430751747198914868254782784897372189800078091750343021106166262075257054125546218847797610841445424650093671519576491473472907300941940992526436862231130477304783932887854134182444072757946040004361664753827167012211471903699770094808186996301405796100266622759479339975351148925332695959735227017418610851319068038527843703901791510584836077067308}
15674  5332987907028888528577824994843673120377873135917201637308323661: {47013,109669,156670,188004,203593,344542,484933,719854,877016,907294,969742,986643,1045669,1138873,1174575,1252880,1344094,1409490,1439524,1503456,1655614,1691388,1814356,2215342,2378648,2528293,2563156,2675979,2773774,2804233,3207214,3445573,3516334,3990495,4071742,4256528,4355653,4459395,4756688,4788594,4807993,5351274,5396835,5546494,5546836,5585979,5617669,5680587,5756624,6064969,6158254,6289876,6476202,6524542,6599353,6649975,6712563,6954169,7072894,7120295,7194574,7396069,7554603,7616216,7979970,8347342,8362136,8434811,8511968,8544354,8568243,8649742,8674095,8775723,8993575,9058873,9232393,9252368,9407403,9466435,9554542,9575964,9614734,9664933,9806907,9923593,9967139,10171850,10353253,10369983,10402595,10408914,10723924,10792290,10815214,10866469,10994734,11011395,11207173,11359722,11413054,11511776,11711374,11716069,11745488,12049730,12192724,12206220,12222373,12247342,12483114,12485134,12642313,12950748,12976969,13019968,13030619,13137742,13213674,13218335,13374574,13393669,13567448,13808569,13812195,14022244,14238770,14459676,14550853,14554894,14561771,14624335,14647464,14733008,14860850,14960713,15142654,15263379,15658643,15789656,15844564,15845854,15862002,15988467,16260169,16340773,16371742,16478397,16571476,16574634,16867466,16983013,17086524,17213900,17245342,17541193,17549202,17676399,17763363,17833020,17858569,18021844,18057454,18503303,18615170,18635614,19021888,19038469,19106596,19269742,19400835,19481816,19738633,19787134,20279173,20341100,20489619,20656680,20663113,20694224,20802530,20818171,21132507,21399624,21470428,21652933,21900574,21917043,22033792,22105669,22184494,22338204,22369490,22652895,23238765,23281002,23300293,23419684,23506595,23740451,24074577,24096380,24163088,24257353,24385342,24403513,24409320,24491476,24609694,24788016,24928255,24963036,24972195,24985273,25448734,25777669,26036608,26057906,26433290,26499242,26593100,26637008,26773573,26843388,26982244,27116014,27157683,27183474,27196069,27266233,27296643,27460485,27723742,27886518,28207914,28284248,28310053,28915656,28928569,29201593,29291184,29717900,29743256,29862814,29913906,29966634,30244174,30375147,30407374,30554695,30672040,30682633,30733342,30867796,31253619,31278469,31313282,31378571,31570516,31606969,31672453,31719948,31819779,31911720,32300734,32330575,32373795,32530113,32677054,32838094,32952582,32967013,33308135,33461163,33480814,33580850,33914930,34020964,34039168,34106456,34369876,34423400,34506045,34532048,34546894,34731013,35101669,35342254,35414884,35661480,35713669,35762644,35900685,36028654,36378553,36558373,36665634,36806448,36902523,36922174,37150804,37212169,37225580,37409979,37445614,37563695,37565113,37726616,37740613,37856060,38038912,38294064,38369763,38378569,38608393,38726325,38796690,38848554,39177913,39224404,39494483,39572293,39796069,39858364,39969762,40074169,40119165,40204335,40297020,40405513,40531379,40552654,40619667,40697916,40706494,40843273,41078625,41114533,41269342,41308080,41332376,41383136,41407254,41491273,41973076,42023353,42169503,42286693,42442443,42490654,42704293,42756169,42770648,42793776,42884624,42935368,42983488,42999076,43080822,43086995,43097854,43495507,43728133,43778569,43817200,43931575,44061952,44152203,44417618,44498531,44575753,44670696,44671179,44733260,44794335,44826530,45055342,45076434,45102491,45427272,45498469,45546313,45553342,45997955,46061524,46161733,46168995,46255333,46356248,46471590,46498923,46556028,46593934,47130169,47583050,47725534,47780624,48022969,48116979,48142998,48245202,48302289,48356424,48415333,48449900,48500696,48507742,48903125,48945934,49100644,49246928,49294350,49308169,49349893,49569696,49673374,49684591,49763173,49772836,49927448,50184719,50254533,50369593,50594043,50685742,50686393,50778964,50882053,50959813,51105681,51656835,51691054,51704394,51858147,52091653,52150779,52273993,52450084,52569795,52580640,52641934,52717890,52810213,52991708,53089573,53179400,53179975,53296069,53432293,53492254,53499973,53539342,53679912,53753202,53781796,53791836,53800969,53965669,54039999,54196894,54347979,54400977,54448969,54524494,54563283,54758014,54777556,55100624,55197546,55305795,55402794,55513669,55595374,55629733,55648767,55765908,55770724,55919614,55936947,56074448,56086016,56090195,56101204,56168379,56232416,56247493,56329033,56420690,56426043,56565742,56856073,56940520,57033733,57090916,57099660,57232453,57498169,57502725,57618491,57869113,57901970,58008063,58139880,58200133,58306873,58616293,58683750,58774693,58966213,58984969,58992848,59153220,59168569,59344414,59344969,59390164,59749342,59754469,59815813,59826825,59905669,60035593,60063673,60132613,60199753,60242483,60303433,60314051,60371236,60389901,60421342,60485413,60651193,60661669,60712969,60762469,60906304,60911854,61021669,61029193,61065733,61126969,61152313,61237093,61309669,61336240,61348873,61349716,61371913,61394233,61405573,61409353,61552850,61988202,62015872,62062203,62239774,62415742,62596000,63056307,63083754,63096768,63261468,63291742,63453740,63569330,63754595,63815280,63815970,63986979,64037900,64058085,64204654,64432130,64592596,64699975,64894323,65300835,65407365,65422994,66169496,66307342,66366954,66751139,66845476,66943342,67308234,67452616,67533694,67564335,67704828,68069632,68070368,68162734,68328624,68446036,68455625,68519592,69003270,69239027,69285934,69451342,69482364,69654224,69660056,69767856,69822574,69904894,70028254,70315534,70420500,70438414,70674338,70674724,70683742,70728195,70983864,71050654,71132014,71792190,72030963,72068624,72465214,72573796,72945694,72984495,73105342,73136216,73603488,73656939,73834084,73863420,73883575,73941335,74255134,74440683,74776276,74991635,75115200,75243623,75430414,75443408,75702440,75884193,76051342,76144488,76174975,76210255,76259625,76267587,76283196,76398814,76505514,76548719,76578336,76579164,76845480,76869702,77001491,77084541,77204542,77318556,77488095,77623774,77639970,77737774,77850128,78208804,78305614,78361002,78367563,78488838,78787648,79244014,79327443,79467742,79706536,79735395,79856847,79861019,79987539,80122880,80128850,80209342,80761342,80907934,81077202,81082335,81127342,81241923,81299044,81343600,81637054,81689403,81968512,81975635,82146750,82179694,82278243,82312130,82428195,82431694,82653968,82688367,82717100,82803924,82815968,82933342,83057891,83289742,83358363,84032974,84220995,84504600,84524542,84664414,84665044,84866619,84873834,84927986,85051088,85059723,85104971,85165245,85381923,85394542,85492947,85576996,85662549,85705294,86060690,86150628,86162930,86220334,86425342,86451165,86487824,86906595,87307054,87441742,87581394,87592043,87623200,87923408,88260248,88443742,88609342,88636104,88660290,88729602,88731539,88906414,89136574,89141295,89198884,89234974,89471735,89527107,89562783,89669853,89724814,89804234,89835728,89989962,90085323,90138240,90338325,90648200,90695764,90757774,90775083,90842928,90926895,90994276,91045342,91409970,91452306,91511550,91517635,91648174,91663023,91888084,92045900,92214576,92276494,92700368,92970899,92985714,93167964,93461420,94031335,94153342,94467603,94570976,94575694,94785694,95067675,95084048,95358770,95547819,95676814,95682474,95853803,95967443,96147456,96154620,96360880,96379342,96716575,96784894,96988688,97244542,97298802,97415854,97503968,97521851,97612320,97643374,97793750,98099495,98214851,98370762,98509323,98576100,98774556,98821054,98878719,98913834,98938335,99185795,99235684,99260520,99292779,99481342,99715617,...,605988874864395325630389062743296426591380983644911054587334685552144623039435998511514108305646834231924319548198389244013720229875391781084628353039537694320967936891285306588717641494693858999933148047227143403390775735805852913709255946268319218231030357346885531243954140082347306616486955943189851220153958547005742727768694391298568694605697429348155459178451868901939242559975035048092473454532745480737772340904058345432034706699115238846221829813633495039823180747734174905843213385759464660478276759537418178166953582009640997648548766145958195728085039362871794729444168889880425620772071630425739937305225222548416427849236034779331380021087874292405368057782298805673373799098243744703881267505519427075160683905076028715924926091335607149767124943821221743124084974577899255460930288022351217663139436476335401503355245272722255778583768941503702521491808624944712021901631269112719389670409648297437114690145032356183945515176226300969330599300782459936716223025147387129848125107496188901347339517302191150078905895505069967484101461541780605731618578158098681527659752290305005627132978802853729024511212714738235642474762545594145213441466005745801093341548326927337749261375134580308902530618528281889562213259683424784204087134490056082336248716556563260392472106623703154196387361553240806093172237139383241163860988701924946950139829686408466117092544132831413522745067440974820867023912025434451884893366011363954490458498700673168665250822198853132678606118784888912742440713236059198469440604758947061491725770552121064242635242480615376004783783847225382099785674532187321664652068055086243325036871683502162766592068103578722821905608170004283282966490055858453136799206261944218817672840453422994421101238615023963006907116381146763112316511261413785244806663406499333042211583054015087197739410970455734376240370264314457633409450277708334506394054160986380279364985481294789907033156153128698760666147995100643437133374245944168989033531715057730754669752982173771190767835493555496631753551541009034977463453461280127641557823318235023887794769168017696034698170566278195120360652122605051604936345915259440009857146127620798372302382174177346058284700117137625514531659249393112885581188319328271696416262168136975140507279364737210209360951412911488789655293346695715957175899331781201273666109136919060006542497130740750518317207855549655142212280494452108694150399934139219009963026723387999043939602840526127916276978602057791765555852687265877254115600962}
15675  5356576061105928240105570225332589945611427057330585333147525626: {62684,235005,250672,282006,516813,767389,1079781,1096270,1315524,1360941,1454613,1566100,1799405,1879320,2004608,2016141,2081317,2114235,2159286,2255184,2267945,2483421,2537082,2644681,2721534,2925989,2973310,3203945,3323013,3567972,3724462,3844734,3863821,3957173,4160661,4162102,4475614,4520249,4810821,5037046,5274501,5288686,5320660,5945860,6107613,6384792,6538774,6664189,6914206,6933545,7135032,7182891,7195780,7316869,7447972,7574116,7705097,7726654,7862345,8026911,8095822,8267741,8319741,8320254,8634936,8731021,8950084,9237381,9434814,9520270,9714303,9786813,10072804,10277302,10452670,10609341,10639960,10791861,10980157,11392472,11424324,11565460,11700964,11871517,11969955,12371593,12521013,12543204,12596974,12767952,12816531,12891382,12974613,13075876,13404905,13815949,13826644,13878552,14225453,14331813,14363946,14389720,14422101,14681860,14775574,15146296,15240905,15257775,15613371,16003741,16085886,16188435,16222821,16274960,16492101,16644152,16649854,16959310,17039583,17046589,17119581,17267664,17527805,17567061,17618232,17901229,18074595,18107446,18289086,18309330,18371013,18416260,18724671,18727701,19279568,19329893,19426122,19529952,19648702,19706613,19737070,19805705,19820511,20061861,20351172,20714345,20796133,20833501,20936542,21033366,21142702,21149336,21317956,21357769,21358155,21506446,21517375,21613621,21689514,21832341,21971196,22099512,22272694,22291275,22527305,22713981,22782032,23307382,23398936,23399189,23555897,23568532,23684484,23766846,23768781,23777360,23793003,23883245,23931934,24352270,24557613,24748717,24857214,24861951,25301199,25426375,25443773,25629786,25820850,25867780,25868013,26025349,26323803,26749530,26838035,27032766,27083254,27086181,27319492,27542240,27874102,27922755,27953421,28176676,28287269,28467989,28532832,28659894,28675237,28904613,29222724,29274605,29467453,29680701,29721221,29784272,29843149,30120475,30203860,30215542,30448093,30511650,30614345,30870646,30985020,31041336,31203795,31420414,32003374,32099436,32205642,32508773,32545760,32850861,33010789,33050688,33241375,33276741,33284048,33296260,33492622,33507306,33516989,33554235,33727805,33857513,34418429,34578629,34921503,35129526,35256694,35355310,35791184,36124973,36144570,36165829,36210244,36244632,36395524,36578013,36613980,36737214,36914541,37147375,37179070,37182024,37424317,37444554,37524046,37568447,37610552,38173101,38340050,38554208,38584745,38677006,38908894,39054912,39086859,39463145,39649935,39657742,39748863,39885208,39889650,39955512,40265082,40473366,40500196,40561717,40674021,40775211,40857934,41585613,41671492,41808046,41829777,42042934,42293264,42311871,42382093,42426372,42438109,42526205,42548960,42555293,42633070,42962345,43029250,43091062,43165060,43172837,43221694,43373484,43686517,43733321,43936776,44071534,44268605,44555093,44576850,44614884,44703305,44757661,44794221,44870859,44949951,45366261,45478957,45611061,46008060,46100013,46301694,46438505,46531975,46969923,47158270,47320075,47355774,47548640,47548853,47579922,47867580,47981821,48026806,48213046,48451101,48839701,48887512,49015581,49030505,49065142,49075264,49203364,49257141,49428873,49622413,49822955,49879972,50221221,50221349,50371275,50872395,51031446,51058752,51159684,51313582,51527542,51554814,51618742,51635100,51665470,51728920,51778889,51798072,51820341,52466345,52920053,53013381,53122326,53293016,53463310,53492220,53605780,53643966,53669210,53729360,53748845,54042981,54159556,54222493,54263888,54771500,54998451,55077440,55132654,55209672,55383261,55726206,55776649,55838370,55916575,56168421,56226004,56589924,56784090,57002614,57058368,57441096,57576905,57898309,57945310,58195035,58272831,58518413,58836606,58869604,58927342,59021039,59560928,59561572,59725780,59787546,59954643,60089614,60101912,60445530,60562375,60569696,60625870,60828981,60866614,60947446,60952549,61046874,61059741,61116526,61375805,61558660,61904013,61962120,61998564,62074704,62110881,62216045,62409310,62455081,62959614,62986486,63060046,63473705,63702341,63735981,63994189,64155972,64190664,64326936,64403052,64475232,64498614,64621233,64646781,65562605,65676286,65725800,65969293,66012982,66092928,66239635,66474250,66626427,66733054,66962537,67006044,67099890,67122877,67227245,67239795,67270606,67286969,67325093,67458724,67583013,67614651,67920173,68116949,68118862,68140908,68330013,68471945,68875780,68939192,69092286,69144196,69204073,69475081,69534372,69707385,69713405,69743219,69763549,69834042,69890901,70093060,70107520,70126505,70290520,70465294,71175650,71363645,71374575,71573216,71588301,71670936,71722448,71723542,72053332,72214497,72219653,72322222,72367803,72463972,72522733,72534636,72674850,72751044,72761613,72886189,73418901,73455929,73596728,73650966,73706669,73741060,73870392,73941525,74136361,74198356,74237705,74354544,74419702,74510061,74582596,74659254,74891172,74933302,75234724,75464045,75676846,75743734,76028613,76132880,76168446,76670300,76687145,76932982,77191102,77227717,77344084,77519840,77536581,77556591,77613406,77628041,77922574,78245000,78606262,78675126,78870960,78962901,79076835,79317175,79487562,79769100,79995214,80047375,80066614,80238381,80289197,80309013,80519868,80629803,80672694,80687754,80740745,81112822,81295341,81532277,81674974,81786741,81949373,82137021,82166334,82650936,82660621,82711870,82749604,82796319,83104191,83198542,83393061,83413993,83556845,83648862,83656086,83879421,83885813,84075076,84111672,84129024,84151806,84315770,84348624,84631035,84725261,84848613,84865102,85087040,85087960,85315972,85410780,85557545,85636374,85649490,85862206,86525764,86852955,87046649,87067780,87075070,87209820,88025625,88343405,88489272,88729830,88909973,89016621,89085246,89530717,89624013,89744312,90085780,90273104,90556854,90632013,90717245,91104832,91359456,91367781,91420270,91482781,91761142,92004360,92024574,92292605,92329275,92342446,92443333,92455102,92560589,92601661,92643152,92841934,92982303,93023808,93136174,93359661,93369797,93456766,93470345,93520493,93585142,93623613,93894000,94304260,94625631,94628050,94645152,94892202,94937613,95003254,95174621,95180610,95353995,95415029,95654062,95722920,95723955,96041284,96056850,96306981,96620629,96648195,96888894,97312660,97317742,97352189,97455613,97761005,97990582,98087557,98134491,98137984,98209252,98484560,99177334,99254244,99371062,99461013,99550431,99633170,...,908983312296592988445583594114944639887071475467366581881002028328216934559153997767271162458470251347886479322297583866020580344813087671626942529559306541481451905336927959883076462242040788499899722070840715105086163603708779370563883919402478827346545536020328296865931210123520959924730433914784776830230937820508614091653041586947853041908546144022233188767677803352908863839962552572138710181799118221106658511356087518148052060048672858269332744720450242559734771121601262358764820078639196990717415139306127267250430373014461496472823149218937293592127559044307692094166253334820638431158107445638609905957837833822624641773854052168997070031631811438608052086673448208510060698647365617055821901258279140612741025857614043073887389137003410724650687415731832614686127461866848883191395432033526826494709154714503102255032867909083383667875653412255553782237712937417068032852446903669079084505614472446155672035217548534275918272764339451453995898951173689905074334537721080694772187661244283352021009275953286725118358843257604951226152192312670908597427867237148022291489628435457508440699468204280593536766819072107353463712143818391217820162199008618701640012322490391006623892062701870463353795927792422834343319889525137176306130701735084123504373074834844890588708159935554731294581042329861209139758355709074861745791483052887420425209744529612699175638816199247120284117601161462231300535868038151677827340049017045931735687748051009752997876233298279699017909178177333369113661069854088797704160907138420592237588655828181596363952863720923064007175675770838073149678511798280982496978102082629364987555307525253244149888102155368084232858412255006424924449735083787679705198809392916328226509260680134491631651857922535944510360674571720144668474766892120677867209995109748999563317374581022630796609116455683601564360555396471686450114175416562501759591081241479570419047478221942184860549734229693048140999221992650965155700061368916253483550297572586596132004629473260656786151753240333244947630327311513552466195180191920191462336734977352535831692153752026544052047255849417292680540978183907577407404518872889160014785719191431197558453573261266019087427050175706438271797488874089669328371782478992407544624393252205462710760919047105815314041427119367233184482940020043573935763848997671801910499163705378590009813745696111125777475811783324482713318420741678163041225599901208828514944540085081998565909404260789191874415467903086687648333779030898815881173401443}
15676  5380267725891508554824570496109100663852602340018623332111051216: {78355,94026,219338,313340,376008,407186,423009,453763,689084,734563,969866,1439708,1644405,1665883,1754032,1814588,1939484,1957625,1973286,2091338,2277746,2313523,2349150,2505760,2688188,2773963,2818980,2879048,3006912,3238929,3311228,3382776,3598219,3628712,3805623,4053619,4082301,4430684,4459965,4507219,4757296,4868803,5056586,5126312,5319163,5351958,5547548,5586693,5608466,5767101,5946643,6243153,6414428,6650825,6713421,6748219,6836923,6891146,7032668,7432325,7555569,7632019,7933029,7980990,8143484,8513056,8595883,8711306,8918790,8944219,8994725,9031123,9309965,9467645,9513376,9577188,9615986,9808161,9896203,9968413,10371309,10702548,10754083,10793670,11092988,11093672,11171958,11187605,11235338,11361174,11513248,11589981,11858563,12027403,12129938,12143733,12316508,12480381,12579752,12591005,12783619,12952404,13049084,13198706,13253009,13299950,13425126,13699963,13908338,14031019,14145788,14152221,14240590,14280405,14360923,14389148,14456825,14563633,14626205,14792138,14935483,15109206,15232432,15343723,15415953,15679005,15959940,16344845,16694684,16724272,16869622,17023936,17088708,17136486,17198443,17283305,17299484,17348190,17551446,17755363,17987150,18117746,18352325,18464786,18504736,18505669,18544843,18780283,18814806,18895461,18932870,19109084,19151928,19229468,19329866,19337073,19613814,19638019,19847186,19934278,20333323,20343700,20410219,20474069,20706506,20739966,20805190,20817828,20820833,21251323,21447848,21545919,21555019,21584580,21630428,21732938,21989468,22022790,22163361,22414346,22719444,22758283,22826108,23020325,23023552,23353003,23422748,23432138,23490976,23869603,24099460,24128829,24385448,24412440,24444746,24494684,24603293,24966228,24970268,24974781,25284626,25438965,25542163,25900723,25901496,25953938,26039936,26061238,26275484,26328619,26427348,26436670,26647445,26749148,26787338,27106363,27134896,27161169,27316963,27433629,27463995,27617138,27624390,27666523,28044488,28083619,28477540,28498123,28919352,29101706,29109788,29115019,29123542,29139183,29248670,29294928,29460665,29466016,29473053,29605605,29721700,29726083,29793619,29921426,30285308,30526758,30864403,31195243,31317286,31404813,31550049,31579312,31689128,31691708,31714053,31724004,31976934,32047003,32259669,32334725,32371363,32500603,32520338,32534271,32681546,32743484,32909233,32956794,33142952,33149268,33409041,33460723,33734932,33966026,34149365,34173048,34342219,34427800,34490684,34899557,34961073,34963219,35082386,35098404,35220845,35352798,35526726,35577019,35650269,35666040,35717138,35820523,35897901,36043688,36114908,36528405,37006606,37230340,37271228,37285821,37668619,37754825,38043776,38076938,38213192,38250019,38444679,38539484,38731275,38801670,38963632,39334843,39477266,39574268,39951019,40124295,40549149,40558346,40624881,40682200,40831723,40979238,41103163,41265163,41313360,41326226,41388448,41605060,41620325,41636342,41800483,41811153,41853619,42170923,42265014,42776573,42799248,42849523,42901219,42940856,42989841,43107283,43305866,43801148,43834086,44067584,44211338,44368988,44676408,44738980,44861203,44958763,45262805,45305790,45323313,45494405,45633619,45767475,46305969,46477530,46562004,46600586,46631389,46839368,46849483,47013190,47130621,47304163,47480902,47662723,47884483,48005061,48149154,48192760,48308463,48326176,48409363,48514706,48582019,48770684,48796219,48807026,48818640,48982952,49219388,49576032,49593763,49856510,49926072,49944390,49970546,50043619,50238933,50260959,50405203,50625245,50839219,50897468,51264523,51403781,51417019,51555338,51606019,52073216,52089365,52115812,52125643,52162219,52307803,52589173,52666723,52694289,52866580,52885041,52998484,53018443,53032965,53053219,53186200,53191603,53274016,53431003,53547146,53686776,53866243,53956325,53964488,54192763,54216855,54232028,54315366,54366948,54392138,54417043,54532466,54593286,54920970,55105821,55159219,55426843,55447484,55529837,55573003,55768605,55773036,55888219,56000683,56166831,56286069,56304019,56415828,56568496,56598643,56620106,56729683,57454219,57510075,57782323,57831312,57857138,58008043,58015509,58226563,58248019,58363341,58375243,58403186,58561219,58582368,58718153,58741363,58761019,58934683,58953619,59065723,59229019,59435800,59486512,59486613,59504923,59571019,59725628,59827812,59834475,59933268,60321793,60397623,60412123,60471883,60488348,60495283,60692923,60703219,60710049,60750294,60753619,60814748,60858163,60894019,61063363,61084963,61092019,61109390,61152283,61270219,61286901,61289083,61338763,61344080,61356403,61365266,61369219,61372243,61380883,61421923,61427683,61432219,61434019,61466684,61504205,61735592,62349965,62507238,62556938,62626564,62712069,62757142,63064401,63141032,63213938,63344906,63439896,63639558,63823440,63949605,64397137,64543875,64601468,64636593,64661150,64747590,64832541,65060226,65354108,65676188,65905164,65934026,66107301,66616270,66865275,66922326,66961628,67007225,67161700,67699445,67829860,68041928,68078336,68212912,68464375,68739752,68846800,69012090,69064096,69093788,69452541,69462026,70203338,70282505,70684508,70737405,70829768,71033661,71322960,71369883,71427338,71525288,71801370,72040209,72057308,72319569,72757106,73116746,73331268,73587005,73597713,73612896,73805046,73844348,74301608,74424338,74451160,74451965,74657225,74819958,74891228,75127390,75130226,75453232,75481226,75712120,76077824,76547169,76588128,76739526,76757138,76948325,76970373,77216786,77291313,77332221,77428113,77452650,77498205,77593380,77697108,78355826,78448808,78526273,78988966,79144586,79592138,79683489,79716728,79939524,80148338,80194965,80238330,80408670,80465949,80503815,80594040,80811026,81062758,81105308,81239334,81395832,81412988,81686546,81827941,82157250,82229066,82538684,82616160,82664752,82698981,82766272,82814508,82982546,83589309,83757555,83946152,84046706,84323405,84339006,84573386,84701837,84884886,84981308,85176135,85408586,85503921,85512338,85541296,85587552,85769248,85870736,85966976,85998152,86094725,86161644,86173990,86195708,86430245,86917965,86991014,87456266,87557138,87616325,87634400,87863150,88123904,88254909,88304406,88391013,88757009,88835236,88997062,89151506,89256433,89341392,89342358,89466520,89588670,89653060,89681319,90066665,90110684,90134421,90152868,90204982,90579965,90668295,90854544,90886961,90938805,90996938,91092626,91106684,91299921,91421169,91570311,91674789,91995910,92123048,92176325,92323466,92337990,92510666,92712496,92747945,92943180,92997846,93112056,93187868,93228245,93613965,94043405,94260338,94439421,94479729,94590069,95166100,95451068,95561248,95837875,96045938,96233958,96285996,96490404,96604578,96680105,96712848,96747921,96830666,96899800,97001392,97015484,97806250,97891868,98201288,98493856,98514429,98588700,98616338,98699786,99019473,99139392,99346748,99369182,99526346,99545672,99711375,99854896,...,1211977749728790651260778125486592853182761967289822109174669371104289246078871997023028216611293668463848639096396778488027440459750783562169256706079075388641935873782570613177435282989387717999866296094454286806781551471611705827418511892536638436462060714693771062487908280164694613232973911886379702440307917094011485455537388782597137389211394858696310918356903737803878485119950070096184946909065490961475544681808116690864069413398230477692443659627266990079646361495468349811686426771518929320956553519074836356333907164019281995297097532291916391456170078725743589458888337779760851241544143260851479874610450445096832855698472069558662760042175748584810736115564597611346747598196487489407762535011038854150321367810152057431849852182671214299534249887642443486248169949155798510921860576044702435326278872952670803006710490545444511557167537883007405042983617249889424043803262538225438779340819296594874229380290064712367891030352452601938661198601564919873432446050294774259696250214992377802694679034604382300157811791010139934968202923083561211463237156316197363055319504580610011254265957605707458049022425429476471284949525091188290426882932011491602186683096653854675498522750269160617805061237056563779124426519366849568408174268980112164672497433113126520784944213247406308392774723106481612186344474278766482327721977403849893900279659372816932234185088265662827045490134881949641734047824050868903769786732022727908980916997401346337330501644397706265357212237569777825484881426472118396938881209517894122983451541104242128485270484961230752009567567694450764199571349064374643329304136110172486650073743367004325533184136207157445643811216340008566565932980111716906273598412523888437635345680906845988842202477230047926013814232762293526224633022522827570489613326812998666084423166108030174395478821940911468752480740528628915266818900555416669012788108321972760558729970962589579814066312306257397521332295990201286874266748491888337978067063430115461509339505964347542381535670987110993263507103082018069954926906922560255283115646636470047775589538336035392069396341132556390240721304245210103209872691830518880019714292255241596744604764348354692116569400234275251029063318498786225771162376638656543392832524336273950281014558729474420418721902825822977579310586693391431914351798663562402547332218273838120013084994261481501036634415711099310284424560988904217388300799868278438019926053446775998087879205681052255832553957204115583531111705374531754508231201924}
15677  5404063352037135856369347494432122313497779758710343916571197947: {125368,141039,329007,391675,470010,501344,564012,610779,861355,1033626,1454799,1534778,1799635,2159562,2192540,2268235,2424355,2519167,2631048,2721882,2909226,2926363,2959929,3132200,3137007,3175123,3270223,3360235,3416619,3457987,3523725,3598810,3758640,3957679,4009216,4032282,4139035,4162634,4228470,4318572,4485523,4510368,4520827,4535890,4676659,4966842,5052043,5074164,5289362,5443068,5538355,5851978,5946620,6361003,6407890,6646026,6934435,7135944,7448924,7584879,7689468,7727642,7914346,8018035,8027937,8075023,8236483,8321322,8324204,8412699,8611579,8790835,8951228,9040498,9621642,9706963,10074092,10128943,10179355,10336719,10549002,10577372,10641320,10886443,11007283,11891720,11971485,12215226,12769584,13066959,13077548,13135579,13328378,13378185,13828412,13866235,13867090,14061907,14227279,14270064,14365782,14391560,14423979,14633738,14895944,15148232,15395635,15410194,15453308,15647803,15724690,16053822,16190505,16191644,16311355,16535482,16612123,16639482,16640508,16757937,16811899,16853007,16871167,17041761,17269872,17462042,17682235,17900168,17986435,18194907,18312943,18474762,18556723,18766867,18869628,19017619,19040540,19428606,19573626,19798059,19949925,20137689,20145608,20554604,20862507,20868355,20905340,20925283,21218682,21264163,21279920,21337267,21360885,21583722,21624355,21960314,22188207,22663809,22784944,22844419,22848648,23130920,23401928,23740783,23743034,23886355,23939910,24036835,24538927,24743186,25042026,25086408,25193948,25304433,25429625,25447039,25535904,25633062,25704729,25782764,25949226,26022285,26151752,26160499,26327169,26327179,26714803,26809810,26980725,27038035,27176619,27486835,27631898,27653288,27653587,27697179,27727987,27757104,28222209,28399305,28450906,28532635,28663626,28727892,28779440,28816003,28844202,28994799,29000083,29278435,29363720,29420721,29483179,29551148,29770779,29901417,30124325,30273883,30292592,30481810,30515550,30618355,31059759,31109949,31207785,31212835,31226742,31538227,31615183,32007482,32171772,32376870,32445642,32549920,32599407,32844355,32849179,32984202,33034185,33288304,33299708,33436435,33436543,33621519,33643987,33857263,33861859,33918620,34013323,34079166,34093178,34239162,34422847,34535328,35055610,35134122,35148207,35236464,35509099,35596925,35668579,35802458,36149190,36214892,36387235,36578172,36618660,36667119,36742026,36832520,36840319,37152125,37449342,37455402,37573249,37856635,37881679,37926939,38419459,38551183,38559136,38646703,38659786,38852244,38930907,39059904,39091857,39289363,39297404,39413226,39474140,39610987,39611410,39614635,39641022,39655005,40123722,40157779,40181007,40391059,40557583,40702344,40899763,40929355,40984447,41425707,41428690,41436585,41592266,41667002,41873084,42066732,42168665,42285404,42298672,42635912,42715538,42716310,42768043,42860083,42942187,43012892,43034750,43113355,43227242,43379028,43652559,43664682,43685313,43744963,43873005,43942392,43984627,44199024,44545388,44582550,44636323,44882139,45054610,45143635,45354367,45427962,45564064,45790137,46537925,46589035,46614764,46797872,46798378,46975929,47111794,47137064,47218927,47368968,47533692,47537562,47554720,47586006,47766490,47863868,47887279,47965401,48174355,48223723,48704540,48780507,49022319,49115226,49435191,49467835,49497434,49547179,49714428,49723902,50292619,50602398,50747227,50852750,50887546,50949039,51209443,51259572,51641700,51735560,51736026,51867343,51920383,52006325,52050698,52304563,52623579,52647606,52656019,53029197,53290089,53499060,53521963,53575707,53676070,54018643,54065532,54160879,54166508,54172362,54638984,54751435,55084480,55248403,55461235,55501519,55509909,55748204,55845510,55906842,55923725,55959667,56129743,56194099,56353352,56574538,56824603,56935978,57065664,57115407,57319788,57350474,57740863,57809226,57870523,58202505,58445448,58472623,58549210,58934906,59215899,59361402,59442442,59460379,59536687,59568544,59686298,60147283,60166819,60240950,60407720,60431084,60447343,60837519,60896186,60963355,61023300,61106347,61228690,61468857,61473103,61524235,61625203,61741292,61762063,61970040,61976047,61989339,62082672,62407590,62454513,62584627,62840828,63397521,63621835,63731503,64006748,64198872,64411284,64414099,64918387,64958799,65008003,65013907,65017546,65091520,65144765,65370283,65701722,65751129,66021578,66083225,66101376,66248105,66317007,66482750,66553482,66568096,66592520,66679723,66985244,67014612,67033978,67108470,67455610,67715026,67790035,67861363,67958685,68364859,68631379,68642707,68836858,69157258,69309355,69390163,69716295,69752137,69843006,69900879,70259052,70383043,70513388,70519785,70710620,71221353,71439727,71580643,71582368,72223731,72249946,72289140,72331658,72420488,72438547,72489264,72554779,72772059,72791048,73156026,73210539,73227960,73452883,73474428,73531183,73829082,73978747,74294750,74358140,74364048,74657035,74784765,74848634,74889108,74916585,74944879,74955819,75048092,75136894,75156763,75166207,75203083,75221104,75248383,75610435,76018435,76346202,76680100,76833355,77108416,77169490,77333007,77354012,77817788,78077263,78109824,78173718,78283205,78926290,79299870,79315484,79497726,79566019,79770416,79779300,79824307,79911024,80020303,80320719,80530164,80544367,80607667,80751835,80946732,81000392,81123434,81150163,81186283,81348042,81473049,81550422,81588207,81692635,81715868,81798699,81889929,82095235,82097803,82381455,82981699,83171226,83342984,83616092,83659554,83702035,83952125,84085868,84296083,84586528,84623742,84764186,84787325,84852744,84876218,84930159,85052410,85097920,85110586,85266140,85350499,85434259,85826383,85924690,85926127,86058500,86182124,86256283,86330120,86345647,86345674,86367235,86443388,86746968,86785707,87090943,87102463,87373034,87466642,87604779,87873552,88143068,88271563,88317403,88355635,88537210,88863187,89110186,89153700,89229768,89406610,89515322,89588442,89741718,89899902,90071635,90331387,90732522,90957914,91125441,91222122,91292827,91664085,91787647,91857307,92016120,92047899,92200026,92305435,92603388,92735489,92877010,92895379,93063950,93100159,93614035,93760857,93835407,93939846,94118143,94135713,94316540,94640150,94711548,94820907,95017359,95097280,95097706,95159844,95459337,95607667,95735160,95860723,95882239,95963642,96053612,96426092,96849259,96902202,96934867,96991725,97121385,97590339,97598767,97679402,97775024,97920943,97966867,98031162,98061010,98130284,98150528,98177107,98321179,98406728,98514282,98857746,98901039,99004267,99137779,99244826,99355699,99468547,99645910,99759427,99759944,99909103,99924405,...,1817966624593185976891167188229889279774142950934733163762004056656433869118307995534542324916940502695772958644595167732041160689626175343253885059118613082962903810673855919766152924484081576999799444141681430210172327207417558741127767838804957654693091072040656593731862420247041919849460867829569553660461875641017228183306083173895706083817092288044466377535355606705817727679925105144277420363598236442213317022712175036296104120097345716538665489440900485119469542243202524717529640157278393981434830278612254534500860746028922992945646298437874587184255118088615384188332506669641276862316214891277219811915675667645249283547708104337994140063263622877216104173346896417020121397294731234111643802516558281225482051715228086147774778274006821449301374831463665229372254923733697766382790864067053652989418309429006204510065735818166767335751306824511107564475425874834136065704893807338158169011228944892311344070435097068551836545528678902907991797902347379810148669075442161389544375322488566704042018551906573450236717686515209902452304384625341817194855734474296044582979256870915016881398936408561187073533638144214706927424287636782435640324398017237403280024644980782013247784125403740926707591855584845668686639779050274352612261403470168247008746149669689781177416319871109462589162084659722418279516711418149723491582966105774840850419489059225398351277632398494240568235202322924462601071736076303355654680098034091863471375496102019505995752466596559398035818356354666738227322139708177595408321814276841184475177311656363192727905727441846128014351351541676146299357023596561964993956204165258729975110615050506488299776204310736168465716824510012849848899470167575359410397618785832656453018521360268983263303715845071889020721349143440289336949533784241355734419990219497999126634749162045261593218232911367203128721110792943372900228350833125003519182162482959140838094956443884369721099468459386096281998443985301930311400122737832506967100595145173192264009258946521313572303506480666489895260654623027104932390360383840382924673469954705071663384307504053088104094511698834585361081956367815154814809037745778320029571438382862395116907146522532038174854100351412876543594977748179338656743564957984815089248786504410925421521838094211630628082854238734466368965880040087147871527697995343603820998327410757180019627491392222251554951623566648965426636841483356326082451199802417657029889080170163997131818808521578383748830935806173375296667558061797631762346802886}
15678  5427963392140828241492576434122049073161800845621229667698300137: {109697,156710,172337,188052,266237,438676,453821,485057,578717,626680,705015,752016,814372,846018,907526,921521,1108097,1378168,1469126,1511357,1550439,1697021,1939732,1974977,2129117,2302167,2344577,2590337,2740675,2804957,2879416,3239343,3263537,3288810,3331766,3507377,3508064,3629176,3689921,3872177,3878968,3915250,3946572,4082823,4182676,4266077,4363839,4555492,4627046,4698300,4869437,5011520,5319857,5349821,5376376,5398215,5499521,5547926,5637960,5758096,5798321,5947421,6013824,6048423,6126077,6243951,6245021,6342705,6393521,6477858,6622456,6765552,6803835,7015037,7196438,7257424,7280321,7433275,7450263,7456817,7611246,7934043,8107238,8164602,8189117,8276657,8422397,8626097,8713277,8777967,8858417,8861368,8919930,9014438,9061277,9292637,9311155,9514592,9611835,9725057,9737606,9926237,9969039,10113172,10252624,10405255,10613021,10638326,10703916,10869377,11039921,11095096,11173386,11189035,11216932,11534202,11591463,11719217,11871519,11893286,12029021,12057137,12281777,12481983,12486306,12592615,12701597,12828856,13033951,13036157,13221715,13254703,13301650,13397297,13426842,13452737,13496438,13560747,13563521,13673846,13782292,13812317,13867517,13950257,14065336,14432463,14801021,14864650,14964797,15111138,15209921,15264038,15345821,15372977,15662647,15823503,15860417,15866058,15961980,16264637,16286968,16346935,16425821,17026112,17191766,17285515,17422612,17599037,17627407,17757821,17784257,17837580,17888438,17989450,18062246,18153521,18322839,18390077,18547421,18573617,18619930,18935290,19026752,19154376,19231972,19316635,19616322,19792406,19936826,19992567,20239555,20336177,20361821,20476687,20742618,20800635,20898497,21025757,21405096,21508166,21548673,21587340,21950607,22162097,22185976,22187344,22343916,22375210,22470676,22487357,22612097,22722348,22786397,22860977,22882783,23026496,23115291,23179962,23356337,23381021,23587035,23717126,23800675,24054806,24080733,24196627,24259876,24287466,24337457,24606439,24633016,24702077,24803223,24959223,24960762,24992477,25159504,25182010,25545857,25567238,25693255,25832897,25904808,25928321,26047421,26098168,26131675,26193063,26397412,26506018,26599900,26757821,26850252,27204017,27320957,27344321,27399926,27693821,27712143,27816676,28062038,28291576,28295357,28304442,28364417,28481180,28560810,28639937,28721846,28778296,28913650,28982717,29076619,29127266,29142909,29252410,29360439,29414321,29584276,29870966,29887997,30067517,30218412,30402737,30464864,30558557,30687446,30736157,30831906,30891137,31199921,31221917,31287857,31331777,31358010,31492435,31660157,31828023,31919880,31986737,32228455,32268317,32375583,32505521,32689690,32940471,33275057,33389368,33448544,33486977,33550397,33739244,33782321,34047872,34177416,34272972,34396886,34566610,34598968,34696380,34741697,34803677,35030321,35102892,35153537,35235521,35510726,35614551,35724737,35909865,35947421,35974300,36235492,36429917,36629597,36704650,36848321,36927617,36929572,36938935,37009472,37011338,37026557,37089686,37114779,37306423,37439921,37560566,37563039,37615997,37629612,37790922,37865740,38217521,38218168,38303856,38390717,38429117,38449593,38458936,38659732,38674146,38677937,38887421,38923839,39077021,39227628,39276038,39341117,39622337,39694372,39752957,39808817,39846017,39868556,40123997,40214715,40455197,40666646,40687400,40820438,40838321,40856477,40948138,41127857,41244931,41413012,41447847,41479932,41610380,41624635,41635656,41641666,41647421,42335537,42398275,42502646,42676359,42770237,42873821,42895696,42995439,43091838,43110038,43131521,43169160,43234097,43260856,43266303,43319357,43465876,43540097,43793117,43978936,44045580,44077697,44244017,44293757,44326722,44393021,44475521,44639921,44828692,44885021,45268615,45438888,45513857,45516566,45545777,45652216,45722715,45752477,45773325,45847421,46040650,46047104,46302257,46627421,46706006,46719677,46840113,46845496,46864276,46872797,46981952,47146397,47402417,47462321,47670977,47685821,47739206,47809111,47907521,48011223,48198920,48257658,48287537,48432257,48504317,48565305,48668463,48770896,48824880,48889492,48989368,49115777,49121755,49206586,49269821,49309183,49325597,49342675,49476303,49561217,49767197,49932456,49940536,49949562,50173757,50347697,50414237,50427521,50569252,50612657,50704637,50877930,50900417,51084326,51094397,51118749,51139767,51286577,51358743,51540017,51727997,51777821,51801446,51802992,51907876,52079872,52122476,52135217,52147421,52317437,52341355,52401857,52550968,52583415,52657238,52701183,52747421,52854696,52856755,52873340,53201537,53213021,53294890,53316017,53452337,53498296,53508797,53574676,53609921,53676977,53703687,53766115,53821277,53843357,54051521,54203057,54212726,54223785,54269792,54322338,54374321,54633926,54867258,54896321,54927990,55049021,55113039,55234276,55239857,55248780,55333046,55535297,55593521,55651457,55681735,55983677,56067521,56088976,56104577,56167238,56174013,56183103,56609921,56618717,56741021,56921537,56955080,56996246,57031517,57081821,57255617,57320897,57377597,57401777,57449921,57489821,57537437,57561137,57678557,57838704,57839921,57989679,57997757,58173821,58203412,58219576,58230038,58238657,58247084,58268455,58278366,58394417,58497340,58532657,58589856,58760321,58799537,58819037,58915457,58921330,58932032,58946106,58947197,59041217,59084477,59119839,59169821,59193917,59211210,59259521,59283137,59370557,59417115,59439197,59443400,59452166,59461533,59523377,59573021,59587238,59632817,59712797,59790977,59829835,59837021,59842852,59961521,60005117,60104321,60173021,60185583,60235517,60351617,60429821,60453917,60485597,60512897,60566321,60570616,60599837,60654257,60675521,60696497,60740957,60747677,60749923,60857021,60872321,60880675,60976577,61011677,61053516,61055537,61099457,61169021,61209821,61303997,61305521,61326017,61334321,61339697,61346237,61372637,61381277,61387421,61388417,61409921,61421021,61437377,61440317,61443521,61728806,62062759,62143035,62388399,62390486,62500503,62634572,62809626,63100098,63158624,63367927,63378256,63383416,63428106,63448008,63692167,63953868,64073307,64074465,64094006,64519338,64552125,64669450,64742726,64840863,65001206,65040676,65068542,65363092,65486968,65497023,65626171,65818466,65913588,66285904,66298536,66818082,66873825,66921446,67469864,67581915,67708135,67932052,68141943,68298730,68346096,68684438,68855600,68981368,69685255,69799114,69922146,69926263,69926438,70164772,70196808,70197567,70441690,70667691,70705596,70875343,71053452,71154038,71300538,71306343,71332080,71379009,71434276,71641046,71649735,71795802,72087376,72229816,72925111,73056810,73672839,74013212,74246151,74460680,74542456,74571642,74585853,75337238,75509650,75538855,75903597,76087552,76153876,76279125,76331319,76426384,76500038,76889358,77078968,77176615,77462550,77603340,77604039,77927264,78076047,78551035,78669686,78954532,78971409,79148536,79902038,80008435,80248590,80514105,81098298,81116692,81249762,81258543,81364400,81663446,81958476,82206326,82530326,82626720,82652452,82776896,83210120,83240650,83272684,83600966,83622306,83707238,83731555,83768265,83860263,84341846,84530028,84861807,85403967,85553146,85598496,85699046,85802438,85881712,85979682,86025711,86105887,86214566,86611732,86713839,87289951,87602296,87668172,87823815,88135168,88141735,88388275,88402359,88422676,88737976,89042103,89163663,89352816,89477960,89529447,89722406,89917526,90361425,90525610,90543343,90611580,90646626,90988810,91267238,91344279,91534950,91843035,92611938,92947675,92955060,93124008,93201172,93262778,93611385,93678736,93698966,93810115,94026380,94261242,94608326,94666759,94779223,94961804,95325446,95768966,95850125,96010122,96298308,96385520,96616926,96652352,96692515,96818726,97029412,97164038,97272235,97526319,97541368,97592438,97614052,97637280,97965904,98395507,98438776,98552583,99032367,99144355,99152064,99187526,99713020,99724125,99830223,99852144,99888780,99941092,...,2726949936889778965336750782344833919661214426402099745643006084984650803677461993301813487375410754043659437966892751598061741034439263014880827588677919624444355716010783879649229386726122365499699166212522145315258490811126338111691651758207436482039636608060984890597793630370562879774191301744354330490692813461525842274959124760843559125725638432066699566303033410058726591519887657716416130545397354663319975534068262554444156180146018574807998234161350727679204313364803787076294460235917590972152245417918381801751291119043384489418469447656811880776382677132923076282498760004461915293474322336915829717873513501467873925321562156506991210094895434315824156260020344625530182095942096851167465703774837421838223077572842129221662167411010232173952062247195497844058382385600546649574186296100580479484127464143509306765098603727250151003626960236766661346713138812251204098557340711007237253516843417338467016105652645602827754818293018354361987696853521069715223003613163242084316562983732850056063027827859860175355076529772814853678456576938012725792283601711444066874468885306372525322098404612841780610300457216322060391136431455173653460486597025856104920036967471173019871676188105611390061387783377268503029959668575411528918392105205252370513119224504534671766124479806664193883743126989583627419275067127224585237374449158662261275629233588838097526916448597741360852352803484386693901607604114455033482020147051137795207063244153029258993628699894839097053727534532000107340983209562266393112482721415261776712765967484544789091858591162769192021527027312514219449035535394842947490934306247888094962665922575759732449664306466104252698575236765019274773349205251363039115596428178748984679527782040403474894955573767607833531082023715160434005424300676362033601629985329246998689952123743067892389827349367050804693081666189415059350342526249687505278773243724438711257142434665826554581649202689079144422997665977952895467100184106748760450650892717759788396013888419781970358455259720999734842890981934540657398585540575760574387010204932057607495076461256079632156141767548251878041622934551722732222213556618667480044357157574293592675360719783798057262281150527119314815392466622269007985115347436977222633873179756616388132282757141317445942124281358101699553448820060130721807291546993015405731497491116135770029441237088333377332427435349973448139955262225034489123676799703626485544833620255245995697728212782367575623246403709260062945001337092696447643520204329}
15679  5451968300755456757251680316034521495055275069596889133809046899: {15679,235065,250736,282078,548345,658014,783350,940020,1002688,1017965,1128024,1205897,1221558,1269027,1361289,1722710,2067252,2203689,2424665,2519489,2909598,3069556,3175529,3270641,3394097,3458429,3599270,3864809,4319124,4385080,4536470,4677257,4704329,4848710,4933215,4997649,5038334,5052689,5228345,5262096,5443764,5646401,5694365,5794649,5818452,5852726,5872875,5919858,6264400,6274014,6350246,6540446,6720470,6833238,6915974,6940569,7047450,7197620,7517280,7517549,7753697,7915358,8018432,8064564,8278070,8321889,8325268,8456940,8637144,8971046,9020736,9041654,9071780,9205481,9353318,9543209,9708209,9716787,9933684,10104086,10148328,10472297,10578724,10794657,10886136,11076710,11225249,11416869,11417489,11497937,11703956,11893240,11970569,12160857,12167201,12246903,12307169,12641465,12722006,12815780,13291769,13292052,13379895,13521657,13868870,14021165,14041481,14251097,14271888,14606409,14897848,15169758,15378936,15455284,15716249,15828692,15957489,16036070,16055874,16150046,16178237,16472966,16642644,16648408,16760079,16814057,16825398,17223158,17227865,17301303,17488721,17581670,17839929,17902456,18080996,18655241,18729459,19243284,19412729,19413926,19461929,19632509,19836497,19952475,20140263,20148184,20244657,20257886,20358710,20510769,20673438,20927969,21098004,21154744,21282640,21553889,21642569,21710777,21772886,21778265,22014566,22296975,22666707,22730657,22835897,22896057,23387081,23666717,23783440,23799087,23942970,24039965,24430452,24755129,25181009,25539168,25787649,26133918,26155096,26163857,26271158,26656756,26756370,26787497,26832657,26984175,27093369,27243809,27656824,27732470,27734180,27929895,28057289,28088345,28123814,28402935,28454558,28540128,28731564,28783120,28847958,29215697,29267476,29424483,29688609,29791888,29857721,29905239,30274097,30277769,30296464,30324845,30791270,30820388,30906616,31113927,31295606,31449380,32107644,32206121,32262249,32361737,32381010,32383288,32622710,32996765,33070964,33224246,33249875,33278964,33281016,33440897,33515874,33562815,33623798,33651569,33706014,33742334,34017689,34083522,34539744,34712129,34769943,34770845,34843757,34924084,35166317,35364470,35513657,35575689,35601475,35800336,35972870,36082209,36389814,36431199,36625886,36949524,36980345,37113446,37441143,37533734,37739256,37773015,37853249,38035238,38081080,38128481,38350857,38481569,38821757,38857212,38890841,39147252,39596118,39759027,39816737,39899850,39945689,40013129,40275378,40291216,40896977,40989809,41099889,41109208,41725014,41736710,41810680,41850566,42051869,42093057,42174055,42437364,42456663,42528326,42559840,42674534,42721770,42841215,42865697,42927281,43082769,43167444,43248710,43370475,43690899,43697969,43878615,43911641,43920628,44376414,44769257,44806449,44854289,44967875,45294365,45327618,45560489,45569888,45688838,45697296,45982097,46031169,46161965,46247859,46261840,46761857,46803856,46811009,46896377,47037015,47332175,47481566,47486068,47772710,47781689,47879820,47931689,47994209,48073670,48324665,49034535,49077854,49125101,49159289,49486372,49617965,49835695,50084052,50172816,50387896,50395601,50608866,50859250,50894078,50942129,51071808,51266124,51409458,51549497,51565528,51595329,51766265,51849915,51874097,51898452,52012975,52044570,52303504,52320998,52654338,52654358,52999289,53266089,53382929,53429606,53619620,53961450,54076070,54332345,54353238,54973670,55056975,55250009,55263796,55306576,55307174,55394358,55422737,55455974,55460489,55514208,55517007,55634529,55996841,56035865,56340849,56444418,56594057,56686383,56717489,56798610,56832017,56901812,57065270,57301097,57327252,57455784,57558880,57632006,57688404,57989598,58000166,58011219,58076717,58083257,58458041,58529249,58555757,58556870,58580345,58727440,58809641,58841442,58914057,58966358,59036131,59102296,59541558,59802834,60248650,60358697,60547766,60585184,60963620,60999969,61031100,61111865,61230657,61236710,61297769,61422207,61806557,62119518,62219898,62415570,62425670,62453484,62462499,62524841,63076454,63201089,63211565,63230366,63253229,63556937,63739841,63753969,64014964,64343544,64637757,64665057,64753740,64884845,64891284,65099840,65153095,65198814,65224649,65688710,65698358,65875217,65968404,66068370,66091675,66490083,66576608,66599416,66688457,66872870,66873086,66968345,67156349,67243038,67287974,67444097,67714526,67723718,67837240,68026646,68158332,68186356,68274849,68295329,68478324,68650241,68845694,69042845,69060975,69070656,69104009,69254969,70059009,70111220,70268244,70271357,70296414,70472928,70539629,70906337,71018198,71193850,71337158,71437769,71604916,71608809,72298380,72386487,72429784,72436601,72541457,72754265,72774470,72775049,72808855,72991529,73121675,73156344,73237320,73334238,73484052,73665040,73680638,73809879,73928537,74304250,74803565,74898684,74910804,74924343,75146498,75181817,75319049,75713270,75763358,75853878,76316895,76626489,76652009,76838918,77102366,77118272,77255789,77293406,77319572,77645729,77702169,77704488,77861814,78119808,78183714,78293215,78578726,78594808,78663401,78803309,78826452,78948280,78985857,79221974,79222820,79229270,79282044,79310010,79942335,80247444,80315558,80362014,80765777,80782118,80960729,81115166,81254009,81300845,81319089,81404688,81483507,81672029,81703865,81799526,81858710,81950889,81968894,82300887,82391985,82682129,82851414,82857380,82873170,82999569,83184532,83334004,83746168,84133464,84250857,84337330,84570808,84597344,84915065,85271824,85348697,85412909,85431076,85432620,85494369,85536086,85720166,85746557,85884374,86025784,86069500,86133929,86226710,86267537,86454484,86758056,86785337,86900489,87305118,87329364,87345057,87370626,87417549,87489926,87705965,87746010,87884784,87969254,88381995,88398048,88419159,88816815,88821629,89070569,89090776,89165100,89167721,89178249,89272646,89292845,89380857,89544209,89764278,90109220,90287270,90697241,90708734,90852029,90855924,90983057,91128128,91202671,91580274,92273129,92516515,92593209,92625569,92747347,93075850,93178070,93229528,93585729,93595744,93596756,93951858,94214439,94223588,94274128,94359257,94437854,94471241,94569449,94650147,94737936,94906049,95067384,95075124,95109440,95142159,95172012,95192345,95532980,95727736,95774558,95782577,95930802,96141009,96348710,96404081,96447446,96779007,96947549,97004175,97033097,97114089,97409080,97501809,97561014,97602813,98044638,98230452,98693165,98727699,98870382,98935670,98994868,99094358,99428856,99447804,99751241,99766409,...,3635933249186371953782334376459778559548285901869466327524008113312867738236615991069084649833881005391545917289190335464082321379252350686507770118237226165925807621347711839532305848968163153999598888283362860420344654414835117482255535677609915309386182144081313187463724840494083839698921735659139107320923751282034456366612166347791412167634184576088932755070711213411635455359850210288554840727196472884426634045424350072592208240194691433077330978881800970238939084486405049435059280314556787962869660557224509069001721492057845985891292596875749174368510236177230768376665013339282553724632429782554439623831351335290498567095416208675988280126527245754432208346693792834040242794589462468223287605033116562450964103430456172295549556548013642898602749662927330458744509847467395532765581728134107305978836618858012409020131471636333534671502613649022215128950851749668272131409787614676316338022457889784622688140870194137103673091057357805815983595804694759620297338150884322779088750644977133408084037103813146900473435373030419804904608769250683634389711468948592089165958513741830033762797872817122374147067276288429413854848575273564871280648796034474806560049289961564026495568250807481853415183711169691337373279558100548705224522806940336494017492299339379562354832639742218925178324169319444836559033422836299446983165932211549681700838978118450796702555264796988481136470404645848925202143472152606711309360196068183726942750992204039011991504933193118796071636712709333476454644279416355190816643628553682368950354623312726385455811454883692256028702703083352292598714047193123929987912408330517459950221230101012976599552408621472336931433649020025699697798940335150718820795237571665312906037042720537966526607431690143778041442698286880578673899067568482711468839980438995998253269498324090523186436465822734406257442221585886745800456701666250007038364324965918281676189912887768739442198936918772192563996887970603860622800245475665013934201190290346384528018517893042627144607012961332979790521309246054209864780720767680765849346939909410143326768615008106176208189023397669170722163912735630309629618075491556640059142876765724790233814293045064076349708200702825753087189955496358677313487129915969630178497573008821850843043676188423261256165708477468932737931760080174295743055395990687207641996654821514360039254982784444503109903247133297930853273682966712652164902399604835314059778160340327994263637617043156767497661871612346750593335116123595263524693605772}
15680  5476078534397122099765555106857591715236971027257153625205051521: {203671,219394,297559,313420,344674,376104,423117,485119,532474,578791,877352,907642,952759,970114,987021,1139311,1157434,1175025,1232479,1253360,1410030,1504032,1511551,1628744,1692036,1815052,1832337,1843042,2160199,2216194,2584065,2756336,2938252,3022714,3100878,3394042,3538279,3720799,3836945,3879464,3949954,4258234,4364397,4604334,4689154,4719511,5080519,5180674,5350519,5398905,5481350,5609914,5619871,5709511,5758832,6245839,6424039,6478686,6527074,6577620,6663532,6690799,6804705,7014754,7016128,7045471,7258352,7273065,7379842,7398991,7557501,7744354,7757936,7830500,7893144,8165646,8190199,8365352,8532154,8727678,8779089,8879787,8997025,9110984,9149311,9254092,9322759,9396600,9411021,9525369,9738874,9810669,10023040,10080705,10249857,10373961,10406585,10571175,10639714,10699642,10752752,10796430,10956151,10999042,11095852,11211679,11275920,11296711,11339725,11516192,11596642,11873037,11894842,12027648,12058759,12096846,12252154,12311479,12417105,12487902,12490042,12647431,12685410,12731239,12787042,12955716,13035617,13065751,13223405,13244912,13456569,13531104,13562481,13607670,14029977,14030074,14227471,14392876,14514848,14560642,14567357,14629945,14638951,14866550,14900526,14913634,15156129,15222492,15375079,15664649,15862591,15868086,16019725,16214476,16266871,16329204,16347511,16378234,16428079,16553314,16615065,16844794,17252194,17389279,17426554,17555934,17629661,17716834,17722736,17786719,17839860,18024319,18028876,18122554,18418879,18510401,18576199,18585274,18622310,19029184,19083009,19223670,19319105,19450114,19475212,19785865,19852474,19938078,19979119,20226344,20364679,20505248,20748439,20803305,20810510,20826157,21054151,21226042,21276652,21407832,21662119,21738754,22079842,22190192,22346772,22378070,22433864,22490551,22601245,22640239,22754637,22885709,23068404,23182926,23384359,23438434,23743038,23786572,24054105,24058042,24083811,24114274,24199721,24225069,24340951,24487039,24563554,24705631,24709449,24963966,24972612,24996079,25185230,25238097,25403194,25657712,25834737,25860511,26067902,26072314,26372505,26443430,26509406,26603300,26785279,26794594,26853684,26905474,26992876,27043289,27121494,27127042,27207991,27278191,27347692,27348319,27488359,27564584,27624634,27735034,27900514,27976231,28130672,28322551,28335377,28391599,28667071,28864926,29009791,29080337,29120889,29602042,29689831,29729300,29929594,30094399,30222276,30386829,30419842,30429559,30528076,30538065,30563119,30691642,30745954,31010157,31226599,31325294,31555639,31647006,31686751,31720834,31732116,31752199,31923960,32173537,32529274,32573936,32659329,32693870,32851642,32982031,33021849,33173839,33320945,34052224,34185871,34363277,34383532,34498351,34571030,34667725,34747039,34809031,34845224,35117911,35179471,35198074,35254814,35515642,35568514,35675160,35776876,35914455,35970557,35973199,35978900,36124492,36307042,36575479,36584345,36635311,36645678,36780154,37094842,37147234,37229671,37239860,37870580,38053504,38308752,38463944,38525485,38626759,38633270,38684071,38798479,39200877,39232644,39311725,39406737,39584812,39591271,39647359,39873652,39985134,40134555,40204279,40479110,40480039,40589839,40672354,40723642,40863079,40917511,40953374,41338705,41485236,41598705,41601270,41671999,41796994,42051514,42185721,42359959,42681837,42777271,42810192,43016332,43097346,43174680,43241239,43271937,43343551,43547311,43655105,43749919,43800391,43850791,43901214,44089409,44101711,44324194,44371952,44374688,44400439,44548831,44647399,44687832,44750420,44941352,44974714,45087391,45119837,45224194,45444696,45521551,45569431,45572794,45721954,45765566,46052992,46186905,46230582,46359924,46712674,46743031,46762042,46943409,47174070,47425591,47434252,47601350,47694079,47871631,48048031,48109612,48161466,48393254,48519752,48527191,48571515,48574932,48674914,48912751,48934065,49124431,49212878,49266032,49376071,49404154,49606446,49789711,49836369,49912399,49918446,49921524,49984954,50196151,50273811,50319008,50356711,50364020,50435697,50436559,50559021,50613501,50634919,50713759,50753071,50948551,51091714,51103639,51125283,51134476,51386510,51665794,51714509,51749911,51809616,51856642,52094842,52156999,52196336,52263350,52302871,52386126,52794824,52874839,53012036,53046705,53119279,53153911,53199800,53222959,53360191,53515642,53530111,53700504,53959305,54029071,54320671,54384679,54408034,54584721,54637831,54641914,54688642,54799852,54842161,54900785,54917119,54938829,55130311,55250551,55387642,55424286,55546111,55575271,55633352,55670169,55691191,56004031,56087839,56124076,56300601,56308159,56362519,56583152,56590714,56608884,56629999,56728834,56962360,57052857,57093319,57121620,57217879,57279874,57389239,57443692,57509479,57556592,57580759,57827300,57965434,58153238,58214791,58254532,58274489,58285818,58322071,58364479,58504820,58551751,58720878,58828642,58831471,58927951,59022631,59168552,59206591,59224591,59278159,59357585,59383351,59394177,59618719,59741932,59746879,59775994,59793751,59809231,59849775,59855239,59870431,60018391,60103711,60117679,60135034,60186439,60369391,60413067,60436824,60467599,60671719,60692959,60703471,60744799,60805474,60823999,60852511,60929728,61001839,61072471,61079959,61101991,61117114,61226479,61243759,61265791,61281559,61286671,61320439,61342399,61374892,61403599,61417639,61436359,61442191,61450471,61458031,61472314,61663812,61782274,61857965,62399842,62443834,62575714,62587521,62605065,62663554,62716020,62775849,62984870,63320314,63376061,63656046,63792489,63839760,63973474,64011801,64082655,64456910,64536634,64751166,64873065,65011042,65379380,65880942,66550114,66564621,66778736,66897088,66973954,67024525,67100794,67220329,67478488,67564642,67991427,68095744,68354832,68533257,68545944,68770457,68793772,69079745,69133220,69197936,69392760,69483394,69607354,70060642,70205784,70307074,70471042,71021452,71127265,71222349,71229102,71449474,71659065,71819730,71894842,71948600,72110505,72470984,72859834,73259194,73277897,73346897,73409300,73616781,73696642,73855234,73859144,73877870,73999457,74018944,74022676,74053114,74179372,74229558,74612846,74879842,75121132,75126078,75231994,75259224,75272561,75581844,75731480,75913299,76204525,76288875,76341117,76435042,76436336,76607712,76781434,76785277,76858234,76899186,76917872,77114187,77319464,77348292,77355874,77774842,77847678,77954429,78066855,78154042,78455256,78481497,78552076,78682234,78981507,78981537,79244674,79388744,79505914,79617634,79692034,79737112,80018705,80144409,80247994,80429430,80910394,80942175,81114105,81333292,81374800,81529857,81575837,81640876,81676642,81712954,81896276,82255714,82460505,82489862,82640129,82826024,82895694,82959864,82960761,83091537,83183961,83220760,83249270,83271312,83283332,83294842,83761769,84666627,84671074,84796550,85005292,85197915,85232945,85352718,85540474,85597905,85747642,85791392,85990878,86183676,86220076,86263042,86338320,86448009,86468194,86521712,86532606,86638714,86931752,86984397,87000249,87080194,87586234,87639025,87835305,87957872,88091160,88155394,88262163,88449537,88488034,88587514,88653444,88786042,88951042,89279842,89312337,89506145,89657384,89704251,89770042,90372975,90537230,90821649,90877776,91027714,91033132,91091554,91304432,91445430,91504954,91546650,91694842,91855065,92081300,92094208,92604514,93179277,93254842,93329847,93412012,93439354,93623355,93638505,93680226,93690992,93728552,93745594,93963904,94292794,94614681,94791389,94804834,94845549,94924642,95341954,95371642,95478412,95618222,95815042,96022446,96397840,96515316,96575074,96649465,96864514,97008634,97130610,97336926,97541792,97559357,97649760,97778984,97798221,97978736,98231554,98243510,98413172,98533065,98539642,98547537,98618366,98651194,98685350,98952606,99028525,99102555,99122434,99534394,99864912,99881072,99899124,...,5453899873779557930673501564689667839322428852804199491286012169969301607354923986603626974750821508087318875933785503196123482068878526029761655177355839248888711432021567759298458773452244730999398332425044290630516981622252676223383303516414872964079273216121969781195587260741125759548382603488708660981385626923051684549918249521687118251451276864133399132606066820117453183039775315432832261090794709326639951068136525108888312360292037149615996468322701455358408626729607574152588920471835181944304490835836763603502582238086768978836938895313623761552765354265846152564997520008923830586948644673831659435747027002935747850643124313013982420189790868631648312520040689251060364191884193702334931407549674843676446155145684258443324334822020464347904124494390995688116764771201093299148372592201160958968254928287018613530197207454500302007253920473533322693426277624502408197114681422014474507033686834676934032211305291205655509636586036708723975393707042139430446007226326484168633125967465700112126055655719720350710153059545629707356913153876025451584567203422888133748937770612745050644196809225683561220600914432644120782272862910347306920973194051712209840073934942346039743352376211222780122775566754537006059919337150823057836784210410504741026238449009069343532248959613328387767486253979167254838550134254449170474748898317324522551258467177676195053832897195482721704705606968773387803215208228910066964040294102275590414126488306058517987257399789678194107455069064000214681966419124532786224965442830523553425531934969089578183717182325538384043054054625028438898071070789685894981868612495776189925331845151519464899328612932208505397150473530038549546698410502726078231192856357497969359055564080806949789911147535215667062164047430320868010848601352724067203259970658493997379904247486135784779654698734101609386163332378830118700685052499375010557546487448877422514284869331653109163298405378158288845995331955905790934200368213497520901301785435519576792027776839563940716910519441999469685781963869081314797171081151521148774020409864115214990152922512159264312283535096503756083245869103445464444427113237334960088714315148587185350721439567596114524562301054238629630784933244538015970230694873954445267746359513232776264565514282634891884248562716203399106897640120261443614583093986030811462994982232271540058882474176666754664854870699946896279910524450068978247353599407252971089667240510491991395456425564735151246492807418520125890002674185392895287040408658}
15681  5500294551553566924108658738574764793263145975919618095891704363: {31358,329091,391775,470130,501472,517011,564156,767683,798711,1096690,1316028,1361463,1425151,1455171,1566700,1736151,1880040,2005376,2035930,2115045,2256048,2268815,2411794,2443116,2538054,2722578,2764563,3324291,3394531,3445420,3672815,3865303,3958691,4134504,4407378,4521983,4534071,4651317,4849330,4989479,5038978,5091063,5647123,5819196,5924931,6115631,6139112,6351058,6387351,6541282,6788194,6906501,6916858,7033731,7048679,7198540,7319683,7729618,7771011,7972111,8222025,8329415,8414871,8638248,8770160,9072940,9354514,9408658,9697420,9718029,9788125,9790611,9866430,9995298,10076668,10105378,10424543,10456690,10522131,10524192,10887528,11069763,11292802,11388730,11567615,11589298,11616531,11636904,11705452,11745750,11839716,12248469,12376351,12528800,12548028,12700492,12760723,12798231,13080892,13091517,13440940,13588471,13666476,13831948,13869815,13881138,14094900,14395240,14608311,15009859,15034560,15035098,15253799,15507394,15830716,15959571,16036864,16049463,16129128,16194645,16498563,16556140,16643778,16650536,16913880,17274288,17297159,17394963,17698051,17842263,17942092,17991095,18041472,18081559,18083308,18143560,18145269,18378231,18410962,18706636,18731853,18735063,19028115,19086418,19180563,19416418,19433574,19629631,19867368,20208172,20268095,20296656,20411505,20804131,20944594,21045111,21157448,21365983,21589314,21772272,21840963,21984791,22047103,22153420,22299825,22350789,22370451,22450498,22536095,22833738,22834978,22995874,23390083,23407912,23786480,23802129,23941138,24119011,24321714,24334402,24344015,24493806,24567351,24614338,24821191,24829971,25267191,25282930,25444012,25631560,25658191,25878291,26139831,26333901,26575251,26583538,26584104,26595815,26759790,27043314,27183831,27737740,27877911,27933465,28042330,28082962,28502194,28543776,28835505,29175171,29212818,29490791,29733215,29778711,29795696,29873471,29907117,30339516,30448963,30489571,30757872,30910568,31215765,31432498,31657384,31657951,31839063,31869743,31914978,32072140,32081279,32111748,32300092,32356474,32365891,32608131,32945932,33119763,33254125,33285288,33296816,33520158,33529991,33567105,33628114,33650796,33655951,33741095,34184615,34446316,34455730,34602606,34774389,34977442,35157651,35163340,35170831,35614557,35679858,35804912,36087063,36161992,36162383,36171411,36845331,37161625,37310482,37445949,37458918,37474583,37690439,37777845,38104791,38160095,38271011,38486568,38561171,38812271,38825458,38827852,38923858,39101853,39108471,39265018,39323683,39665145,39672994,39764109,39904950,40191891,40280526,40296368,40358211,40489314,40515772,40682241,40690563,40717420,41021538,41346876,41436951,41602551,41850771,41855938,42196008,42309488,42454783,42565280,42979415,43107778,43285138,43297389,43421554,43545772,43556530,43572551,43995983,44029132,44403063,44501059,44593950,44721095,44894391,44973625,45155615,45321359,45333414,45461314,45548879,45571559,45629763,45671794,45792114,45961903,46037463,46118931,46195471,46549825,46774162,46782851,46987941,47333434,47338225,47470509,47566880,47581251,47598174,47885940,48079930,48332791,48679183,48684263,48793911,48860904,49040805,49277463,49481015,49510258,49560071,49842065,50240831,50362018,51078336,51575298,51772483,51798983,51856545,52267836,52310192,52327714,52513039,52542316,52543139,52797111,52853923,52882221,53273463,53313512,53352771,53512740,53574994,53665314,53770415,53968350,54186738,54460563,54487618,54968517,55170231,55313648,55422991,55464940,55468360,55642263,55720851,55859790,55938025,56114578,56176690,56247628,56745599,56805870,56909116,57080256,57463128,57566240,57695916,57895039,57949905,58431394,58534952,58848966,59043677,59226751,59292815,59377218,59583776,59715442,59810478,59977701,60137015,60548194,60555538,60592928,60649690,60664451,60718665,61008531,61085463,61305751,61430061,61582540,61640776,61813232,61943059,62227854,62401905,62591212,62695491,62898760,62955025,63077271,63412111,63918095,64215288,64404131,64412242,64524498,64626751,64646019,64723474,64762020,64766576,64821511,65143139,65245420,65415043,65767271,65851821,65993530,66141928,66265045,66448492,66486291,66499750,66557928,66562032,66836899,66881794,67031748,67125630,67165111,67247596,67303138,67351559,67412028,67462071,67484668,67654531,67836291,67946531,68035378,68167044,68359191,68499815,68582931,68648349,68857871,69079488,69345873,69424258,69465151,69502303,69539886,69541690,69687514,69769973,69848168,70053791,70069011,70143063,70155095,70332634,70728940,70761105,71027314,71151378,71202950,71402025,71600672,71804615,71936591,71945740,72164418,72242199,72284125,72472771,72589881,72779628,72818165,72862398,73012371,73131025,73251772,73484591,73819317,73899048,73960690,74106231,74201171,74226892,74409669,74677415,74877669,74882286,74892079,74977431,75067468,75328903,75404431,75478512,75546030,75706498,76011031,76065283,76070476,76162160,76256962,76637571,76701714,76718615,76963138,77079765,77498691,77643514,77714424,77781682,77784963,78085283,78142263,78294504,78395025,78450211,78579189,78813631,79192236,79248259,79518054,79633474,79799700,79891378,80026258,80273463,80320343,80550756,80582432,81132103,81612051,81724225,81793954,81962871,81979618,82012483,82032963,82199778,82218416,83081463,83116031,83136429,83450028,83473420,83621360,83701132,84103738,84186114,84348110,84705571,84874728,84886071,84886439,84913326,85056652,85093251,85119680,85349068,85443540,85556611,85638479,85682430,85731394,85854562,85919811,85992215,86165538,86334888,86416525,86497420,86559391,86740950,86818919,86948151,87229857,87381798,87395938,87428727,87757230,87823282,87841256,88081317,88242963,88496191,88752828,88776815,89538514,89612898,89663991,89708578,89935750,90202551,90588730,90655236,90838783,91035311,91120978,91139776,91208211,91214333,91280503,91377676,91394592,91500611,91675671,91761625,91964194,92062338,92208471,92323930,92495718,92523680,92528345,92673411,92724215,93523714,93557651,93599763,93607712,93622018,93665751,93755683,93792754,93863571,93901415,93995331,94074030,94477305,94517159,94664350,94963132,94972136,94980471,95317219,95484069,95545420,95563378,95759640,95863378,95960211,95988418,96147340,96416659,96649330,96659983,96685365,96804951,97126749,97390931,97516563,98069070,98155708,98190095,98250202,98318578,98347271,98821413,98972744,99235930,99381551,99671390,99785183,99825171,...,8180849810669336896010252347034501758983643279206299236929018254953952411032385979905440462126232262130978313900678254794185223103317789044642482766033758873333067148032351638947688160178367096499097498637566435945775472433379014335074955274622309446118909824182954671793380891111688639322573905233062991472078440384577526824877374282530677377176915296200098698909100230176179774559662973149248391636192063989959926602204787663332468540438055724423994702484052183037612940094411361228883380707752772916456736253755145405253873357130153468255408342970435642329148031398769228847496280013385745880422967010747489153620540504403621775964686469520973630284686302947472468780061033876590546287826290553502397111324512265514669232718526387664986502233030696521856186741586493532175147156801639948722558888301741438452382392430527920295295811181750453010880880710299984040139416436753612295672022133021711760550530252015401048316957936808483264454879055063085963090560563209145669010839489726252949688951198550168189083483579580526065229589318444561035369730814038177376850805134332200623406655919117575966295213838525341830901371648966181173409294365520960381459791077568314760110902413519059615028564316834170184163350131805509089879005726234586755176315615757111539357673513604015298373439419992581651229380968750882257825201381673755712123347475986783826887700766514292580749345793224082557058410453160081704822812343365100446060441153413385621189732459087776980886099684517291161182603596000322022949628686799179337448164245785330138297902453634367275575773488307576064581081937542658347106606184528842472802918743664284887997767727279197348992919398312758095725710295057824320047615754089117346789284536246954038583346121210424684866721302823500593246071145481302016272902029086100804889955987740996069856371229203677169482048101152414079244998568245178051027578749062515836319731173316133771427303997479663744947608067237433268992997933858686401300552320246281351952678153279365188041665259345911075365779162999204528672945803621972195756621727281723161030614796172822485229383768238896468425302644755634124868803655168196666640669856002440133071472722880778026082159351394171786843451581357944446177399866807023955346042310931667901619539269849164396848271423952337826372844074305098660346460180392165421874640979046217194492473348407310088323711265000131997282306049920344419865786675103467371030399110879456634500860765737987093184638347102726869739211127780188835004011278089342930560612987}
15682  5524616812692623915535536538099772203117107730172912016439835336: {47037,172381,407342,438788,595118,626840,641281,689348,705195,752208,828337,846234,970238,1064948,1157582,1573681,1645035,1754704,1759297,1815284,1905518,1940228,1958375,1974042,2037181,2278622,2314868,2350050,2464958,2506720,2820060,3008064,3023102,3053895,3257488,3384072,3617691,3630104,3664674,3686084,3690877,3807081,4083867,4146097,4306775,4320398,4327681,4432388,5168130,5371723,5411137,5512672,5859517,5876504,6045428,6201756,6395197,6611067,6788084,6839617,7076558,7273995,7441598,7558467,7673890,7723057,7758928,7898881,7899908,8516468,8728794,8998175,9034717,9208668,9378308,9439022,9526587,9811923,10161038,10182291,10361348,10375287,10701038,10797810,10962700,11099677,11219828,11239742,11341175,11419022,11517664,11594427,12121775,12453277,12491678,12595835,12848078,12957372,13054148,13155240,13327064,13381598,13456381,13609410,13705537,13871281,14029508,14031771,14032256,14090942,14112987,14449117,14516704,14546130,14569219,14631815,14759684,14797982,14799645,14859697,14992947,15115002,15158067,15350017,15488708,15512881,15515872,15661000,15685035,15786288,15875615,15918781,16331292,16351115,16380398,16730704,16801175,16885597,16939203,17064308,17083095,17285377,17289935,17383947,17455356,17558178,17618625,17759574,17994050,18158557,18221968,18298622,18508184,18512767,18645518,18793200,18822042,19050738,19477748,19490881,19621338,19788395,20046080,20161410,20418817,20481923,20495677,20499714,20695175,20747922,20813170,20821707,20828819,21142350,21279428,21399284,21505504,21564157,21592860,21912302,21998084,22191704,22423358,22427615,22543681,22551840,22552647,22593422,22604135,22679450,23032384,23193284,23261091,23383295,23746074,23789684,24055296,24117518,24193692,24504308,24612731,24622958,24834210,24965667,24975804,24980084,25260215,25264957,25294862,25370820,25462478,25574084,25911432,26071234,26131502,26197681,26446810,26489824,26553181,26913138,27046747,27047857,27062208,27124962,27215340,27399037,27616443,27691775,27700211,28059954,28060148,28095997,28165297,28454942,28629627,28785752,28854337,29029696,29121284,29124627,29134714,29150361,29259890,29277902,29733100,29801052,29806897,29827268,30312258,30444984,30750158,31329298,31341181,31416891,31641743,31725182,31736172,31805015,32039450,32126557,32177651,32321281,32383971,32428952,32533742,32658408,32695022,32756468,32856158,33106628,33230130,33285181,33675747,33689588,33792637,34250607,34252467,34358017,34367671,34493811,34504388,34672175,34778558,34853108,35041117,35111868,35259322,35348737,35433668,35445472,35471281,35573438,35679720,35911707,35958577,35958659,36048638,36057752,36245108,36482571,36501603,36680881,36740709,36837758,36921507,37020802,37152398,37170548,37244620,37451677,37744897,37924395,38023271,38058368,38152381,38166018,38268157,38441281,38447340,38638210,38900228,38950424,39571730,39704948,39858781,39875307,39876156,39958238,39970237,40025857,40090175,40139685,40375115,40452688,40564971,40729358,41010496,41182415,41392957,41496878,41606610,41621020,41652314,41874097,42063495,42108302,42124443,42452084,42553304,42753291,42815664,42922417,42974077,43057895,43324238,43333681,43477508,43819227,43954175,44092381,44159684,44341681,44380384,44693544,44756140,44867728,44981102,44981437,45202490,45280478,45509274,45561181,45771418,45799681,46136808,46365852,46649323,46735681,46768718,46876868,47102017,47148747,47486076,47573144,47732017,47872467,48108210,48116084,48167622,48228548,48304381,48399442,48450138,48534711,48534815,48650557,48681902,48736381,48821917,48864577,48974078,49127108,49411262,49418898,49702657,49784881,49927932,49945224,49992158,50280237,50370460,50442171,50472157,50476194,50644715,50806388,50896775,51218083,51315424,51483037,51634237,51669474,51683595,51721022,51821617,51903909,52135804,52144628,52190977,52227517,52466163,52745010,52886860,53018812,53082877,53206600,53255857,53519787,53570558,53589188,53697181,53707368,53810948,53863681,53935679,53985752,54086578,54242988,54254084,54255937,54415982,54432215,54556382,54695384,54696638,54976718,55036415,55129168,55249268,55281181,55429681,55470068,55488577,55801028,55864381,55952462,55965723,56005681,56089597,56145181,56188377,56261344,56418781,56645102,56670754,56783198,57071281,57334142,57489277,57513217,57631837,57729852,57863677,57874187,58019582,58160674,58238187,58241778,58284337,58385787,58557181,58598077,58624379,58798237,58856881,58897527,58991197,59010097,59140381,59204084,59284957,59372977,59379662,59458600,59509491,59609857,59738881,59857425,59859188,60069937,60188798,60222397,60420789,60444552,60465217,60524797,60593917,60733971,60745117,60773658,60775681,60795697,60805597,60839684,60859118,60945457,61056152,61076130,61117147,61126238,61135537,61329181,61383284,61401757,61417777,61442077,61453057,61481137,61481281,61491908,61532307,62020314,62453198,62650588,62783907,63111278,63294012,63373502,63441668,63464232,63504398,63847920,64347074,64661667,64813463,64927707,65058548,65132331,65147872,65318658,65334795,65387740,65677895,65703284,65964062,66043698,66347678,66641890,66890925,68000121,68104448,68191971,68371742,68507691,68688171,68726554,68767064,68996702,69142060,69331175,69335450,69494078,69618062,69690448,70161243,70235822,70309535,70358942,70396148,70509628,71000151,71031284,71136395,71137028,71350320,71397261,71553752,71828910,71941114,71946398,71957800,72119895,72248984,72614084,73150958,73168690,73270622,73291356,73560308,74189684,74265387,74294468,74459342,74479720,75128603,75543027,75741160,76107008,76617504,76861099,76927888,76978175,77050970,77253518,77266540,77362947,77368142,77485859,77596958,78239015,78401754,78465288,78491571,78623450,78813474,79169624,79182542,79294718,79442207,79747304,79970268,80269110,80362491,80408558,80497971,80952525,80958220,80960078,81179678,81280107,81344708,81447284,81556775,81726158,81731427,81835022,81906748,82677410,82970472,83060615,83100619,83197410,83202540,83343998,83593988,83789685,84059495,84103028,84171867,84265035,84355835,84371442,84719918,85208805,85363674,85554542,85620384,85818839,86032664,86194692,86349360,86482478,86543874,86601151,86687102,87094622,87310210,87499838,87600782,87647091,87701582,87802428,88178818,88203422,88273449,88411175,88648388,88743904,88749376,88800878,89065827,89097662,89294798,89375664,89500840,89573163,89715717,89882704,89932175,89949428,90174782,90239674,90448388,90822291,90833307,90889392,90974535,91043102,91138862,91145588,91443908,91531132,91564715,92105984,92373810,92461164,92719848,92783615,93341781,93425348,93486062,93524084,93834335,93886818,94348140,94851182,94868504,95088095,95202700,95388158,95743262,96096062,96219224,96322932,96618363,96711643,96786508,96786747,97039504,97054382,97085211,97143030,97149864,97349828,97665607,97825502,97868130,98248862,98425756,98532064,98752142,98808308,98990295,99212892,99578171,99579422,99672738,99749625,99824798,99836892,99843048,99969908,...,10907799747559115861347003129379335678644857705608398982572024339938603214709847973207253949501643016174637751867571006392246964137757052059523310354711678497777422864043135518596917546904489461998796664850088581261033963244505352446766607032829745928158546432243939562391174521482251519096765206977417321962771253846103369099836499043374236502902553728266798265212133640234906366079550630865664522181589418653279902136273050217776624720584074299231992936645402910716817253459215148305177840943670363888608981671673527207005164476173537957673877790627247523105530708531692305129995040017847661173897289347663318871494054005871495701286248626027964840379581737263296625040081378502120728383768387404669862815099349687352892310291368516886648669644040928695808248988781991376233529542402186598296745184402321917936509856574037227060394414909000604014507840947066645386852555249004816394229362844028949014067373669353868064422610582411311019273172073417447950787414084278860892014452652968337266251934931400224252111311439440701420306119091259414713826307752050903169134406845776267497875541225490101288393618451367122441201828865288241564545725820694613841946388103424419680147869884692079486704752422445560245551133509074012119838674301646115673568420821009482052476898018138687064497919226656775534972507958334509677100268508898340949497796634649045102516934355352390107665794390965443409411213937546775606430416457820133928080588204551180828252976612117035974514799579356388214910138128000429363932838249065572449930885661047106851063869938179156367434364651076768086108109250056877796142141579371789963737224991552379850663690303038929798657225864417010794300947060077099093396821005452156462385712714995938718111128161613899579822295070431334124328094860641736021697202705448134406519941316987994759808494972271569559309397468203218772326664757660237401370104998750021115092974897754845028569738663306218326596810756316577691990663911811581868400736426995041802603570871039153584055553679127881433821038883998939371563927738162629594342162303042297548040819728230429980305845024318528624567070193007512166491738206890928888854226474669920177428630297174370701442879135192229049124602108477259261569866489076031940461389747908890535492719026465552529131028565269783768497125432406798213795280240522887229166187972061622925989964464543080117764948353333509329709741399893792559821048900137956494707198814505942179334481020983982790912851129470302492985614837040251780005348370785790574080817316}
15683  5549045780270699772857293380494059190275241243645584581365653035: {15683,62716,548485,611013,658182,783550,861685,892677,940260,1002944,1034022,1128312,1269351,1331185,1455357,1535366,1597422,1736373,1894981,2193380,2269105,2425285,2632056,2722926,2850302,2858277,2893585,2910342,2961063,3133400,3176341,3417933,3472302,3525075,3697437,3760080,3959197,4010752,4071860,4230090,4512096,4522561,4534653,4537630,4607605,4678453,4823588,4886232,4990117,5053981,5076108,5141941,5333581,5445156,5497011,5529126,5540485,5896657,6116413,6480597,6648582,6789062,6835117,6890840,7345630,7392517,7556785,7730606,7752195,7917382,8269008,8330257,8485105,8814756,9043966,9068142,9105877,9302634,9698660,9830641,9874885,9978958,10077956,10182126,10614837,10645585,11143477,11162397,11294246,11510835,11638392,11661181,11722885,11849862,12184381,12231262,12278224,12479581,12702116,12774702,12951685,13082564,13093191,13576388,13703375,13813002,13833716,14024785,14067462,14097358,14158533,14397080,14639366,14728717,15241557,15255757,15459236,15542022,15653821,15944222,16051557,16194661,16196715,16317685,16444050,16658830,16829742,16859613,17128533,17276496,17536885,17540320,17639677,18027217,18145880,18449605,18709028,18737517,18817316,19024933,19272117,19339837,19360885,19394840,19417741,19436058,19576250,19581222,19732860,19990596,20072397,20153336,20210756,20414115,20442097,20849086,20913380,21044262,21048384,21136413,21170557,21272341,21330385,21775056,21819195,21987613,22139526,22196973,22394581,22585604,22672503,22777460,23135230,23178596,23233062,23273808,23410904,23491500,23679432,23978737,24347185,24496938,24570597,24571237,24752702,25057600,25096056,25187533,25400984,25521446,25596462,25673281,26161784,26183034,26225281,26337267,26599285,26639361,26749105,26881880,26991075,27176942,27332952,27447933,27497605,27663896,27739630,27762276,27968277,28189800,28233063,28301821,28310677,28375333,28576107,28790480,28991605,29216622,29432007,29737105,30019718,30069120,30070196,30242115,30505717,30507598,30630385,30749571,31014788,31121883,31219755,31225105,31550533,31661432,31713525,31919142,31967605,32073728,32085397,32098926,32258256,32389290,32868453,32984977,32997126,33112280,33287556,33301072,33387997,33635037,33827760,33870397,33890133,34019175,34081621,34293781,34548576,34594318,34789926,34852753,35075185,35396102,35619111,35684526,35884184,35884981,35982190,36082944,36143557,36163118,36166616,36176277,36287120,36290538,36401605,36690301,36756462,36821924,36934437,37166375,37234141,37251315,37284085,37413272,37463706,37470126,37695277,37942293,38056230,38172836,38193717,38361126,38817253,38832836,38867148,38900917,38968081,38986357,39106851,39197253,39259262,39528997,39570157,39626353,39670215,39734736,40059037,40369707,40416344,40416781,40536190,40593312,40687443,40823010,40945585,41383285,41608262,41626501,41889188,42089931,42090222,42111985,42314896,42682413,42731966,43130485,43178628,43544544,43566385,43681926,43702071,43889835,43916853,43969582,44094206,44292085,44306840,44599650,44701578,44740902,44900996,45072190,45306385,45468387,45564913,45572293,45667476,45669956,45910381,45991748,46125237,46450837,46463185,46555775,46598017,46780166,46815824,46993947,47237533,47532157,47572960,47573581,47587773,47604258,47858461,47882276,48059175,48238022,48625285,48643428,48668804,48688030,48690181,48800613,48987612,49026781,49042533,49134702,49171981,49228676,49284237,49631185,49642382,49659942,49845195,50334577,50534382,50565860,50766913,50888024,50927857,51263120,51316382,51494833,51756582,52026275,52167837,52279662,52324861,52549981,52667802,52881037,52888983,52947277,53065105,53150502,53156197,53167076,53168208,53191630,53360157,53424133,53519580,53857297,54072957,54086628,54346885,54367662,55199605,55256637,55475480,55531203,55728597,55755822,55866930,55945175,56084660,56151517,56165924,57004388,57087552,57185941,57249027,57671010,57892981,57957315,58098253,58350342,58425636,58544413,58548517,58570993,58596085,58981582,59357595,59466430,59483677,59508613,59513677,59557422,59579101,59591392,59746942,59814234,59937357,60145105,60171181,60285685,60471037,60679032,60897926,60979142,61094037,61408885,61515744,61821136,62096437,62245317,62409915,62431530,62478471,62609533,62679901,62771797,62864996,62963075,63162453,63217861,63314768,63315902,63507985,63678126,63739486,63829956,64144280,64162558,64223496,64355281,64412557,64600184,64712948,64731782,64986357,65112037,65169755,65180785,65216262,65891864,66108575,66239526,66273515,66508250,66570576,66593632,66978157,66986485,67040316,67059982,67134210,67256228,67263685,67301592,67311902,67351381,67360381,67471653,67482190,67803735,67817605,67920717,68263911,68369230,68657127,68658013,68668237,68892632,68911460,69061585,69205212,69273421,69337585,69548778,69751285,69778891,69954884,70153077,70315302,70326680,70341662,70557841,70764997,71229114,71359716,71609824,72162315,72174126,72251433,72257581,72323984,72324766,72342822,72599163,72675207,73022853,73306897,73461117,73504597,73560157,73690662,74005105,74007613,74116893,74128347,74323250,74620964,74823985,74891898,74917836,74949166,74988237,75278581,75380878,75445693,75555690,75714291,76049605,76104277,76113973,76209582,76320190,76542022,76572913,76729105,76864885,76958797,76973136,77122342,77504211,77581533,77624542,77650916,77655704,77847716,78203706,78216942,78313235,78342181,78530036,78647366,79117515,79302085,79330290,79345988,79528218,79544821,79597297,79809900,80051917,80158621,80355837,80383782,80561052,80592736,80716422,80978628,81031544,81129867,81217777,81323185,81364482,81381126,81434840,81623973,81734675,81834573,82043076,82044957,82129105,82129837,82465077,82673293,82693752,82715761,82873902,83009941,83205102,83284597,83309581,83701542,83711876,83928693,84191821,84392016,84618976,84761893,84909566,84967653,85006131,85130560,85174797,85434961,85859677,85958830,86001213,86215556,86427575,86535217,86570276,86594778,86843108,87029373,87091544,87113060,87145102,87152197,87241011,87362667,87692293,87819841,87991966,87995185,88058264,88137035,88789105,88806126,88861021,88921285,89002118,89069493,89187900,89442190,89485333,89788782,89947250,90044581,90283197,90311230,90366781,90642718,90666828,90767605,90922628,91097758,91143118,91160487,91259526,91288677,91343588,91544581,91584228,91614195,91689357,91893313,91923806,91950385,92074926,92237862,92390942,92587501,92737105,92771063,92868085,93030471,93099650,93418621,93548324,93565702,93679797,93975882,94078093,94495717,94646737,94666868,94666917,94676450,94849381,94941018,95060253,95133760,95162502,95196348,95224117,95256597,95450461,95771880,95899741,96159860,96520611,96583175,96665582,97358366,97368526,97587822,97721808,97977987,98005093,98081610,98217133,98494141,98554926,98946093,98962030,99020516,99042673,99065547,99120142,99315997,99521517,99684130,99962835,...,16361699621338673792020504694069003517967286558412598473858036509907904822064771959810880924252464524261956627801356509588370446206635578089284965532067517746666134296064703277895376320356734192998194997275132871891550944866758028670149910549244618892237819648365909343586761782223377278645147810466125982944156880769155053649754748565061354754353830592400197397818200460352359549119325946298496783272384127979919853204409575326664937080876111448847989404968104366075225880188822722457766761415505545832913472507510290810507746714260306936510816685940871284658296062797538457694992560026771491760845934021494978307241081008807243551929372939041947260569372605894944937560122067753181092575652581107004794222649024531029338465437052775329973004466061393043712373483172987064350294313603279897445117776603482876904764784861055840590591622363500906021761761420599968080278832873507224591344044266043423521101060504030802096633915873616966528909758110126171926181121126418291338021678979452505899377902397100336378166967159161052130459178636889122070739461628076354753701610268664401246813311838235151932590427677050683661802743297932362346818588731041920762919582155136629520221804827038119230057128633668340368326700263611018179758011452469173510352631231514223078715347027208030596746878839985163302458761937501764515650402763347511424246694951973567653775401533028585161498691586448165114116820906320163409645624686730200892120882306826771242379464918175553961772199369034582322365207192000644045899257373598358674896328491570660276595804907268734551151546976615152129162163875085316694213212369057684945605837487328569775995535454558394697985838796625516191451420590115648640095231508178234693578569072493908077166692242420849369733442605647001186492142290962604032545804058172201609779911975481992139712742458407354338964096202304828158489997136490356102055157498125031672639462346632267542854607994959327489895216134474866537985995867717372802601104640492562703905356306558730376083330518691822150731558325998409057345891607243944391513243454563446322061229592345644970458767536477792936850605289511268249737607310336393333281339712004880266142945445761556052164318702788343573686903162715888892354799733614047910692084621863335803239078539698328793696542847904675652745688148610197320692920360784330843749281958092434388984946696814620176647422530000263994564612099840688839731573350206934742060798221758913269001721531475974186369276694205453739478422255560377670008022556178685861121225974}
15684  5573581918741295255422569219002785436341744426190470325259319667: {78395,94074,203723,266339,344762,360203,578939,641363,672563,814684,877576,987273,1175325,1190236,1253680,1282562,1294883,1378696,1410390,1504416,1551033,1573883,1604843,1656674,1692468,1940476,2129896,2303049,2315164,2396133,2437739,2683403,2741725,2959163,3147362,3264803,3290070,3447803,3509408,3518594,3600083,3630568,3721763,3811036,3880456,3916750,3948084,3964739,4074362,4084389,4176923,4275453,4358483,4365513,4509563,4557244,4629736,4700100,4720739,4781003,4929916,5013440,5089825,5208453,5411843,5640120,6016128,6029485,6046204,6068939,6107790,6345135,6425723,6514976,6751763,6768144,6806445,6958739,7106339,7235382,7260208,7329348,7372168,7381754,7459763,7614162,7929203,8167734,8279939,8292194,8293689,8513123,8613550,8640796,8655362,8716739,8864776,8948963,9064883,9151739,9498443,9815243,9972873,10183593,10336260,10503083,10743446,10822274,10873739,10959083,11018445,11025344,11356403,11595909,11719034,11723939,11753008,11864939,11876073,12090856,12123325,12403512,12597445,12650843,12706739,12790394,12790523,13124939,13222134,13565949,13576168,13602213,13679234,13817939,13953951,13955939,14038643,14153116,14231339,14286323,14547990,14883196,14968437,15107243,15116934,15273189,15347780,15379283,15446114,15517856,15542123,15797762,15799816,15877645,15920963,15947963,16352003,16353205,16727483,16941369,16970485,17032936,17128043,17292145,17457588,17634169,17685803,17774793,17870939,17996350,18069434,18346893,18397739,18417336,18476483,18659939,18756616,18878044,19053174,19162053,19324045,19493603,19623846,19752443,20322076,20364582,20421683,20484541,20719503,20722696,20750574,21101193,21110939,21146037,21402076,21415403,21595620,21668243,21925400,21959049,22199354,22225861,22439656,22479484,22496939,22546883,22682350,22696523,22838044,22870739,22891561,23035328,23188854,23313033,23386285,23521645,23916333,24030323,24205909,24243550,24421043,24615877,24666075,24712739,24785483,24906554,24983356,24988245,25003283,25124003,25191670,25244613,25263445,25696156,25914744,25915739,26108296,26141725,26310480,26580683,26654128,26763196,26912762,27051803,27215939,27218820,27286163,27332939,27403043,27411074,27703753,27742562,28059016,28063542,28064512,28181884,28225974,28232005,28376939,28471825,28881443,28898234,28973245,29033408,29087773,29092260,29138438,29154087,29223203,29263630,29364375,29371833,29519368,29595964,29599290,29719394,29743739,29901323,29985894,30148163,30230004,30316134,30416339,30483203,30638939,30700034,30977416,31025762,31031744,31273629,31301939,31322000,31370070,31398661,31411739,31565123,31566393,31572576,31645789,31751230,31805363,31837562,32066339,32606339,32662584,32702230,32736613,32760796,33183923,33209289,33461408,33565739,33602350,33771194,33878406,33923963,34128616,34166190,34238123,34508939,34570754,34579870,34702845,34767894,34819739,34849593,34881683,34910712,35116356,35169803,35237250,35364301,35374643,35519148,35741339,35842739,35963257,35984363,35988100,36317114,36443936,36506963,36597244,36686603,36745407,37016368,37025534,37103243,37129053,37291036,37339739,37586400,37587745,37644084,37692323,37770323,38028133,38101476,38282169,38394693,38408939,38768485,38848883,38955496,38981762,39242676,39274551,39359939,39576790,39641339,39772043,39827939,40092160,40322820,40419683,40602923,40765413,40837634,40930739,40963846,40991354,40999428,41390350,41417603,41495844,41609445,41626340,41643414,41657638,41827739,42057683,42268739,42284700,42496597,42558856,42798568,42877739,42998363,43011008,43128314,43185720,43255523,43357883,43612523,43824604,43824933,43865363,43996168,44116403,44149739,44315939,44383408,44527021,44842403,44846716,44855230,44936593,45029577,45087362,45103680,45105294,45134939,45186844,45208270,45328523,45358900,45568883,45584843,45664523,45761397,45775739,46012739,46027405,46064768,46386568,46481339,46522182,46759043,46766590,46789739,46942739,47125283,47426963,47492148,47579368,47716045,47740283,47878713,47917739,48110592,48148389,48235036,48240083,48356339,48387384,48529763,48541045,48583935,48673403,48759203,49008616,49225462,49245916,49393523,49463003,49495689,49628939,49668420,49807403,49930163,49931334,49951608,49960168,50374739,50414723,50481203,50520430,50529914,50589724,50741640,50771339,50924956,50927963,50966939,51148168,51224939,51352739,51568163,51822864,51891477,52142468,52184889,52200563,52249283,52263004,52346339,52361485,52395362,52430843,52859243,52893620,52979648,53023043,53094153,53106362,53139083,53265803,53380163,53526789,53538923,53826276,53851739,53906939,53973285,54093494,54095714,54124416,54244677,54249924,54266243,54362723,54430680,54435807,54500939,54658739,54679643,54798074,55134693,55232886,55271939,55291883,55383550,55400422,55440443,55596923,55616339,55684043,55712939,55732163,56026043,56044739,56109923,56119908,56120296,56126245,56191994,56195559,56205189,56330594,56348603,56384843,56429963,56525161,56573003,56678939,56909884,56955803,56981339,57084345,57087445,57091163,57257483,57259254,57331283,57380123,57436739,57489685,57532883,57541689,57571504,57596339,57651443,57655381,57708674,57713939,57737243,58055939,58059392,58129739,58242568,58249254,58269428,58296443,58300722,58519780,58555804,58576283,58637483,58677923,58711403,58836803,58856339,58869323,58888893,58952939,59003723,59028923,59078939,59249963,59303603,59339003,59466200,59494739,59602104,59613794,59644643,59654536,59819939,59830283,59852845,59906843,60130403,60267083,60281053,60328403,60392363,60458603,60538523,60624516,60695939,60738323,60748739,60772763,60804285,60836005,60858563,60880739,60889968,60950843,60977123,61130939,61150043,61199939,61210739,61225523,61234515,61235843,61295363,61311203,61344083,61391339,61395203,61403939,61418003,61424603,61429883,61433963,61439843,61468403,61474163,61489739,61496339,61500316,61535845,62412393,62658596,62682362,62833782,63135333,63207325,63283486,63450364,63472344,63610030,64078900,64097949,64253114,64355302,64642562,64767942,64857904,65067484,65316816,65390044,65512936,65522889,65712316,65954373,66141309,66213256,66458845,66460260,66570362,66899475,67052367,67111353,67351494,67379176,67585274,67608285,67948741,68501214,68504934,68716034,68735342,68987622,69008776,69283357,69344350,69557116,69706216,70082234,70105825,70170249,70207405,70223736,70518644,70697474,70867336,70890944,70902601,70942562,71146876,71255485,71359440,71406387,71823414,71917154,71917318,72097276,72115504,72357033,72490216,72965142,73003206,73032045,73361762,73481418,73675516,73702053,73843014,74041604,74304796,74341096,74463573,74489240,74489913,74903354,75489794,75801573,75848790,76046542,76116736,76205101,76304762,76332036,76536314,76597729,76882562,76894680,76974573,77050981,77276420,77634873,77800456,77900848,78419493,78581245,79001703,79143460,79409896,79717562,79725753,79750614,79752312,79787445,79916476,79940474,80051714,80180350,80279370,80750230,80891185,80905376,81129942,81265657,81458716,81551493,82020992,82364830,82785914,82993756,83213220,83242040,83304628,83633733,83748194,83800395,84070285,84126990,84216604,84248886,84904168,85106608,85506582,85631328,85844834,85948154,86115790,86139325,86506515,86648476,86667362,86955016,87443605,87525513,87638454,87908350,88184762,88319368,88472373,88683362,88760768,88788349,89199645,89336133,89387088,89512280,89620413,89721351,89735456,89962204,89962874,90404980,90560956,91018548,91122362,91346889,91468713,91542836,91574197,91599362,91949053,92273616,92731704,93276205,93298646,93471362,93537436,93647295,93753736,94204034,94297494,94972152,94973853,95146288,95464034,95517189,95609229,95744934,95915173,96216420,96232168,96243837,96335244,96457096,96608762,96798884,96900276,97063645,97069422,97069630,97097673,97301114,97309645,97363804,97472762,97643834,97729154,97824393,97948156,98162545,98254216,98433349,98822524,98837796,99182485,99359289,99405314,99569762,99590953,99762375,99855864,99890448,99984316,...,24542549432008010688030757041103505276950929837618897710787054764861857233097157939716321386378696786392934941702034764382555669309953367133927448298101276619999201444097054916843064480535101289497292495912699307837326417300137043005224865823866928338356729472548864015380142673335065917967721715699188974416235321153732580474632122847592032131530745888600296096727300690528539323678988919447745174908576191969879779806614362989997405621314167173271984107452156549112838820283234083686650142123258318749370208761265436215761620071390460404766225028911306926987444094196307686542488840040157237641268901032242467460861621513210865327894059408562920890854058908842417406340183101629771638863478871660507191333973536796544007698155579162994959506699092089565568560224759480596525441470404919846167676664905224315357147177291583760885887433545251359032642642130899952120418249310260836887016066399065135281651590756046203144950873810425449793364637165189257889271681689627437007032518469178758849066853595650504567250450738741578195688767955333683106109192442114532130552415402996601870219967757352727898885641515576025492704114946898543520227883096562881144379373232704944280332707240557178845085692950502510552490050395416527269637017178703760265528946847271334618073020540812045895120318259977744953688142906252646773475604145021267136370042427960351480663102299542877742248037379672247671175231359480245114468437030095301338181323460240156863569197377263330942658299053551873483547810788000966068848886060397538012344492737355990414893707360903101826727320464922728193743245812627975041319818553586527418408756230992854663993303181837592046978758194938274287177130885173472960142847262267352040367853608740862115750038363631274054600163908470501779738213436443906048818706087258302414669867963222988209569113687611031508446144303457242237734995704735534153082736247187547508959193519948401314281911992438991234842824201712299806978993801576059203901656960738844055858034459838095564124995778037733226097337488997613586018837410865916587269865181845169483091844388518467455688151304716689405275907934266902374606410965504589999922009568007320399214418168642334078246478054182515360530354744073833338532199600421071866038126932795003704858617809547493190544814271857013479118532222915295981039380541176496265623922937138651583477420045221930264971133795000395991846918149761033259597360025310402113091197332638369903502582297213961279553915041308180609217633383340566505012033834268028791681838961}
15685  5598225694563561445789240423780153550833817221569984924893432617: {31366,125432,141111,517143,767879,1018355,1096970,1206359,1222026,1316364,1487795,1567100,1723370,1785354,1863659,1880520,1923843,2005888,2068044,2115585,2239523,2256624,2425595,2485011,2538702,2662370,2893955,2910714,3070732,3176747,3194844,3395399,3472746,3789962,4051019,4386760,4538210,4679051,4721043,4763795,4850570,4935105,5054627,5264112,5277891,5334263,5445852,5648567,5696555,5700604,5716554,5787170,5820684,5875125,5897411,5922126,6111543,6162395,6266800,6303323,6352682,6450647,6835866,6835991,6944604,7050150,7394874,7520160,7557755,7756679,7918394,8021504,8143720,8460180,8736611,9024192,9045122,9069306,9075260,9161685,9215210,9356906,9647176,9772464,9980234,10107962,10152216,10283882,10579499,10667162,10761491,10800995,10853073,10890312,10987187,10994022,11058252,11072631,11080970,11421243,11502359,11793314,11879147,12232826,12251601,12438291,12527603,12920325,12961194,12983043,13297164,13578124,13670234,13781680,13824839,13947767,14399723,14691260,14785034,14903819,15113570,15447191,15461212,15504390,15834764,16115169,16184459,16233411,16412039,16538016,16660514,16759187,16970210,17495447,17578551,17629512,17691395,17769539,18029531,18087932,18132359,18136284,18211754,18603995,18605268,19184725,19185591,19397320,19634699,19661282,19749770,19833201,19957916,20155912,20364252,20518851,20846891,21229674,21291170,21821985,21888203,22286954,22324794,22588492,22675401,22739399,22844759,22856171,23021670,23169171,23276784,23322362,23445770,23597555,23675819,23696643,23699724,24368762,24462524,24551639,24556448,24574391,24959162,25402595,25404232,25549404,25632443,25829447,25903370,26165128,26186382,26466323,26752595,26994525,27104151,27105239,27130139,27152776,27406750,27504563,27626004,27667432,27811223,28049570,28099355,28134924,28194716,28314311,28317066,28547555,28579761,28693667,28794160,28830827,29278732,29435769,29457434,29862539,30483114,30511514,30546873,30846563,30918472,31084044,31125861,31229195,31307642,31631447,31888444,32103114,32120195,32389322,32393430,32635370,32888100,32989211,33299031,33317660,33453995,33553019,33659484,33719226,34023525,34086059,34257066,34298183,34552992,34783281,35073770,35080640,35227355,35259803,35279354,36052211,36054434,36291760,36365325,36859271,36899210,36994955,37238999,37359831,37418056,37448747,37475034,37634632,37787505,37901303,38049866,38496647,38544234,38625299,38679674,38721770,38789680,38835482,38872116,38973083,39152500,39162444,39465720,39534071,39981192,40028651,40144794,40306672,40369143,40421512,40588247,40828230,40868963,40884194,40950995,41006807,41116611,41398859,41613843,41631947,41698172,41826760,42088524,42095313,42096768,42272826,42338961,42341114,42409523,42544682,42660770,42882539,43347351,43550112,43638390,43707657,43715147,43767467,43895445,43975226,44279052,44393946,44398935,44579091,44754647,44789162,44978841,44985125,45171208,45345006,45474201,45508187,45554920,45746555,45973811,46050051,46270460,46357192,46466124,46538643,46547616,46613795,46764731,46821808,46983000,47055105,47358864,47626845,47756343,47912183,47957474,48694370,48871091,48993876,49053345,49105259,49141194,49142474,49505404,49654343,50115200,50192112,50375066,50403525,50656791,50801968,50817609,50925491,50962247,51042892,51192924,51235787,51249285,51346562,51856131,51869805,52032925,52151841,52197719,52323568,52366068,52450562,52674534,52855875,52887923,53198570,53278722,53498210,53763760,53869703,53982150,54257723,54353884,54440123,54475671,54665904,54780755,54895866,54995210,55327792,55479260,55524552,55530071,55538301,55812539,55936554,56058395,56223323,56379600,56466126,56483555,56603642,56621354,56698625,56739491,56750666,57152214,57323819,57580960,57770567,57936599,57983210,58433244,58472643,58480727,58864014,58956779,59365185,59474210,60039436,60104027,60138240,60140392,60197771,60293795,60382679,60484230,60992939,61011434,61015196,61129799,61256451,61260770,61445769,61487031,61499142,61504727,61526819,61557395,61794359,62008919,62029576,62085525,62104523,62243766,62439510,62450210,62465121,62486457,62495771,63101066,63204419,63237155,63322864,63427050,63428939,63656195,63838284,63935210,64147456,64170794,64197852,64516512,64692471,64778580,65048459,65178085,65328755,65431991,65629643,65736906,65969954,65994252,66117025,66224560,66575112,66588407,66602144,66714659,66775994,67270074,67282845,67494563,67631043,67655520,67657941,67740794,67780266,67812405,68038350,68075399,68163242,68587562,69097152,69188636,69248603,69483659,69579852,69705506,69783273,69808439,70054007,70149885,70150370,70298891,70792204,70851419,71137355,71238222,71369052,71465771,71768368,71769962,71964380,72165888,72287114,72326236,72333232,72352554,72476219,72574240,72581076,72592883,72803210,72836785,73149725,73194755,73235411,73380602,73512924,73643848,73838193,73868874,74184851,74291147,74332750,74468282,74502630,74568170,74826544,74897001,74927412,74940252,74983703,75390554,75423899,75780645,75794871,75884586,76085639,76112460,76123931,76345672,76387434,76495859,76722252,76875395,77279447,77634506,77665672,77734296,77801834,77936162,77972714,78213702,78323245,78394506,78518524,78593043,78625259,78684083,79057994,79140314,79186631,79252706,79312955,79340430,79469472,79607723,79659543,80098625,80118074,80169059,80549003,80739414,80832688,80833562,81072380,81140241,81143571,81153371,81186624,81334355,81356759,81374886,81646020,81737555,81891170,82034519,82140395,82197111,82714391,82766570,82849329,83075325,83100633,83216524,83253002,83778376,84179862,84180444,84203147,84223970,84287991,84399959,84495891,84629792,85364826,85395323,85463932,85581491,85888881,85972439,86260970,86357256,86563011,86581739,86819003,86934731,86946395,87089088,87132770,87363852,87373463,87373881,87404142,87451083,87779670,87831299,87833706,87939164,88148305,88188412,88584170,88613680,88911179,88933595,89199300,89403156,89420691,89481804,89589047,89801992,90121595,90144380,90612770,90887627,90936774,91129826,91144586,91237657,91253099,91334952,91339912,91820762,91873259,91983496,92094395,92250474,92447027,92503163,92552005,92585159,92782921,92880995,92901674,92926370,93111550,93196034,93560332,93631648,93781079,93987894,94023543,94169159,94250673,94475066,94606811,94925229,94944647,95064314,95145920,95147162,95175546,95208516,95415045,95716922,95764552,95917163,95932103,96118350,96379671,96476044,96532953,96595525,96686219,96904007,96963843,97072619,97151913,97250570,97286856,97337608,97376060,97380362,97601226,97651799,97975224,98053562,98085066,98151587,98269404,98343962,98427251,98457352,98507027,98568474,98929325,99262370,99263651,99284764,99319884,99647603,99690390,99855543,99895595,...,32723399242677347584041009388138007035934573116825196947716073019815809644129543919621761848504929048523913255602713019176740892413271156178569931064135035493332268592129406555790752640713468385996389994550265743783101889733516057340299821098489237784475639296731818687173523564446754557290295620932251965888313761538310107299509497130122709508707661184800394795636400920704719098238651892596993566544768255959839706408819150653329874161752222897695978809936208732150451760377645444915533522831011091665826945015020581621015493428520613873021633371881742569316592125595076915389985120053542983521691868042989956614482162017614487103858745878083894521138745211789889875120244135506362185151305162214009588445298049062058676930874105550659946008932122786087424746966345974128700588627206559794890235553206965753809529569722111681181183244727001812043523522841199936160557665747014449182688088532086847042202121008061604193267831747233933057819516220252343852362242252836582676043357958905011798755804794200672756333934318322104260918357273778244141478923256152709507403220537328802493626623676470303865180855354101367323605486595864724693637177462083841525839164310273259040443609654076238460114257267336680736653400527222036359516022904938347020705262463028446157430694054416061193493757679970326604917523875003529031300805526695022848493389903947135307550803066057170322997383172896330228233641812640326819291249373460401784241764613653542484758929836351107923544398738069164644730414384001288091798514747196717349792656983141320553191609814537469102303093953230304258324327750170633388426424738115369891211674974657139551991070909116789395971677593251032382902841180231297280190463016356469387157138144987816154333384484841698739466885211294002372984284581925208065091608116344403219559823950963984279425484916814708677928192404609656316979994272980712204110314996250063345278924693264535085709215989918654979790432268949733075971991735434745605202209280985125407810712613117460752166661037383644301463116651996818114691783214487888783026486909126892644122459184691289940917535072955585873701210579022536499475214620672786666562679424009760532285890891523112104328637405576687147373806325431777784709599467228095821384169243726671606478157079396657587393085695809351305491376297220394641385840721568661687498563916184868777969893393629240353294845060000527989129224199681377679463146700413869484121596443517826538003443062951948372738553388410907478956844511120755340016045112357371722242451948}
15686  5622977576210892380809365345400335068775082602120305109934740901: {47049,109753,156790,188148,297673,407446,532678,579013,672649,689524,720406,1046473,1157878,1232953,1282726,1345126,1605049,1629368,1645455,1755152,1833039,1958875,1974546,1975993,2350650,2380472,2507360,2565124,2585055,2589766,2678031,2757392,2820780,2990149,3008832,3102066,3147766,3209686,3313348,3384936,3808053,3838415,3880952,3993555,4259792,4366071,4606098,4630328,4792266,4811749,4875478,5172613,5209119,5366806,5483450,5622073,5684943,5711749,5801353,5918326,6069733,6248293,6294724,6529606,6580140,6807315,6895606,7018816,7037188,7125755,7200166,7261136,7275855,7401913,7443526,7578313,7622072,7760912,7833500,7896168,7929478,8148724,8168778,8281033,8353846,8441279,8550906,8574831,8680755,8716966,8731026,8883189,9019126,9114488,9239749,9259472,9400200,9441478,9529023,9562006,9859832,10026880,10103749,10179650,10253799,10416906,10575225,10823686,11045833,11092311,11280240,11301253,11344075,11877591,12032256,12058970,12092408,12137878,12215580,12690270,12736393,12851446,13029952,13404553,13503526,13536288,13567683,13570873,13603959,13612890,13822815,13917478,14035359,14212678,14470764,14520416,14658696,14744336,14763508,14919526,14970351,15136549,15161943,15228324,15425823,15858406,15950149,16000743,16335468,16354249,16434853,16491033,16559878,16584388,16587378,16621455,16756549,16972655,17026246,17227100,17281592,17310724,17433478,17636423,17689971,17729552,17873413,17897926,18031813,18129766,18303478,18349239,18364075,18426553,18662533,18996886,19326515,19441791,19630486,19793455,19945746,20367186,20505351,20672520,21006166,21139333,21486892,21644548,21747478,21822649,21918166,22036890,22050688,22177551,22228703,22274953,22609915,22670355,22712806,22894487,23191818,23246053,23256585,23438068,23447878,23506016,23729878,23752146,23758679,24058249,24181712,24209003,24246650,24424549,24789049,24807024,24947395,24990771,25194890,25301686,25413478,25455315,25580788,25581046,25943353,26249878,26444268,27053663,27131898,27152336,27204426,27290149,27317631,27358468,27360313,27570373,27635878,27907902,27911878,27988549,28077286,28235615,28306232,28404133,28462678,28572646,29091491,29095980,29491923,29624655,29766392,29936874,30214486,30233868,30443173,30546378,30578155,30643513,30695560,30758566,30892228,31035712,31084246,31306633,31595524,31599632,31635493,31755290,31766533,31841926,31844511,31895926,31936755,32185879,32287813,32611273,32704006,32706410,32740799,32930303,32997049,33380233,33430431,33454966,33487191,33882738,33940970,33950149,34065872,34256086,34376459,34532505,34584290,34825093,34887049,34915176,34983543,35134153,35168655,35195749,35243395,35257273,35268338,35368823,35371606,35549586,35741878,35746873,35992700,36050533,36138868,36412549,36553143,36598415,36652453,36693786,36795478,36834672,36950713,36952966,37319878,37438743,37513232,37756088,38106348,38324106,38530213,38648090,38702473,38855055,38987206,39101893,39247692,39279573,39504886,39524807,39666373,39860555,40223653,40444549,40562543,40644152,40729164,40843366,40937353,40969082,40991749,41110125,41262649,41439006,41445392,41501148,41647075,42064549,42074355,42202386,42221878,42292074,42475599,42502031,42804152,42830806,42902053,43191240,43336486,43528903,43619749,43822213,43850800,43872649,43918098,44186151,44398708,44451722,44571193,44620549,44879312,44942339,44958968,44993878,45093766,45352249,45364700,45393046,45544633,45592549,45676088,45724671,45741478,45767271,45783122,46020553,46070656,46302649,46377708,46489273,46626066,46772570,46961463,47043290,47450149,47495113,47832666,47940793,48060646,48154671,48379273,48411818,48487100,48552649,48583983,48590145,48842086,48940625,48953055,49231754,49332150,49360453,49425478,49570966,49722739,49813108,49966712,49976490,49979833,50006566,50223251,50248006,50383340,50423749,50489226,50526890,50578839,50780473,51015049,51247033,51385599,51392312,51815653,51829488,51831478,52122715,52149049,52216592,52283450,52610655,52620960,52622843,52919031,53044549,53161366,53183653,53308256,53424313,53526392,53560249,53761993,53825524,54081651,54092473,54103606,54275879,54431878,54437640,54572326,54574693,54665878,54669193,54700549,54806086,54822148,55348815,55407506,55485124,55607749,55636873,55752649,56118032,56127084,56129024,56148793,56212551,56363768,56451948,56464010,56690233,56753878,56943650,57074799,57077413,57252553,57448393,57568453,57615973,57762886,57796468,57816351,57838075,57940549,57946490,58019511,58066816,58082655,58141753,58175546,58184520,58251013,58253223,58272649,58276876,58308174,58358473,58379749,58446406,58527260,58728750,58743666,58965433,59038736,59191928,59198580,59244613,59262649,59334073,59438788,59487478,59786053,59802646,59848549,59909893,59971788,60014473,60058213,60143749,60157753,60217191,60296326,60346249,60410149,60460008,60472249,60591049,60632268,60636553,60713413,60745273,60796933,60832678,60866233,60894853,60966406,61044793,61123273,61152649,61214533,61227493,61242345,61252549,61277878,61287973,61310149,61326291,61331173,61378693,61399753,61400068,61482373,61498249,61504549,61505593,61881755,61954832,62051524,62063488,62547258,62603878,62644000,62740140,62797322,62823478,63130246,63132786,63145152,63291578,63409239,63502460,63511671,63610726,63675124,63803615,63817023,63991155,64132678,64438367,65212678,65325168,65404460,65457585,65473226,65521592,65962839,66367846,66418578,66590919,66802463,66922816,67131478,67183743,67204700,67542388,67756812,67847926,67942355,67957463,68017509,68257232,68332380,68476246,69017878,69141508,69159740,69349075,69405690,69535788,69639478,69699186,69763366,69821424,70232712,70339606,70474500,70728602,70749286,71038296,71482678,71685478,71926514,71936211,71968726,71976200,72634228,72887872,73013926,73041555,73194488,73306079,73373206,73490814,73711791,73713711,74032736,74051068,74206486,74258106,74582072,74679478,75049295,75172800,75175490,75288168,75384646,75540646,75562599,76056266,76202952,76268995,76564338,76789386,76817878,77019843,77536970,77697766,77910992,77963524,78485352,78549102,78576743,78675843,78719878,79011801,79153580,79282678,79544086,79655878,79797855,79918083,79922423,80184320,80247315,80485559,80645640,80839366,80973225,81205846,81530826,81675268,81861478,81880331,81927692,81982708,81998856,82343799,82492815,82780700,82835206,82991688,83218890,83252680,83286828,83315276,83655478,83793983,83904831,84115366,84537478,84569400,84699189,84756067,84905463,84932031,84993194,85117712,85125999,85170407,85597136,85728321,85755478,85996726,86022016,86150183,86256628,86371440,86485795,86511046,86715766,86974815,87225046,87649208,87649866,87730726,87992336,88232806,88296021,88299478,88490255,88631878,88766816,89054042,89211315,89684806,89693432,89710460,89873186,89955475,90059154,90174724,90207360,90210588,90269878,90373688,90407795,90416540,90657046,90717800,90726345,90945151,91137766,91169686,91329046,91517151,91522794,91551478,91891155,92025478,92054810,92129536,92248713,92773136,92962678,93042383,93044364,93365649,93518086,93533180,93579478,93659265,93675315,93885478,94250566,94651599,94853926,94984296,95140575,95158736,95432090,95480566,95757426,95835478,95902815,96041231,96221184,96256191,96296778,96470072,96480166,96712678,96774768,97059526,97082090,97167870,97346806,97518406,98017232,98148155,98290367,98450924,98491832,98605359,98787046,98926006,98954931,98991378,99257878,99336840,99614806,99757679,99860326,99862668,99903216,99920336,...,49085098864016021376061514082207010553901859675237795421574109529723714466194315879432642772757393572785869883404069528765111338619906734267854896596202553239998402888194109833686128961070202578994584991825398615674652834600274086010449731647733856676713458945097728030760285346670131835935443431398377948832470642307465160949264245695184064263061491777200592193454601381057078647357977838895490349817152383939759559613228725979994811242628334346543968214904313098225677640566468167373300284246516637498740417522530872431523240142780920809532450057822613853974888188392615373084977680080314475282537802064484934921723243026421730655788118817125841781708117817684834812680366203259543277726957743321014382667947073593088015396311158325989919013398184179131137120449518961193050882940809839692335353329810448630714294354583167521771774867090502718065285284261799904240836498620521673774032132798130270563303181512092406289901747620850899586729274330378515778543363379254874014065036938357517698133707191301009134500901477483156391377535910667366212218384884229064261104830805993203740439935514705455797771283031152050985408229893797087040455766193125762288758746465409888560665414481114357690171385901005021104980100790833054539274034357407520531057893694542669236146041081624091790240636519955489907376285812505293546951208290042534272740084855920702961326204599085755484496074759344495342350462718960490228936874060190602676362646920480313727138394754526661885316598107103746967095621576001932137697772120795076024688985474711980829787414721806203653454640929845456387486491625255950082639637107173054836817512461985709327986606363675184093957516389876548574354261770346945920285694524534704080735707217481724231500076727262548109200327816941003559476426872887812097637412174516604829339735926445976419138227375222063016892288606914484475469991409471068306165472494375095017918387039896802628563823984877982469685648403424599613957987603152118407803313921477688111716068919676191128249991556075466452194674977995227172037674821731833174539730363690338966183688777036934911376302609433378810551815868533804749212821931009179999844019136014640798428836337284668156492956108365030721060709488147666677064399200842143732076253865590007409717235619094986381089628543714026958237064445830591962078761082352992531247845874277303166954840090443860529942267590000791983693836299522066519194720050620804226182394665276739807005164594427922559107830082616361218435266766681133010024067668536057583363677922}
15687  5647838034179554204488829539914025729957495714469057802890363012: {62732,235185,250864,282222,611169,799017,861905,1034286,1080609,1425697,1535758,1736817,1924089,2017689,2036710,2082913,2193940,2412718,2444052,2632728,2646709,2961819,2975590,3134200,3206405,3395833,3446740,3525975,3570708,3727318,3761040,3847686,3884649,4011776,4051537,4136088,4141685,4231170,4479046,4513248,4653099,4721649,4814529,4851190,4970022,4991393,5077404,5324740,5649289,5787910,5821428,6117977,6141464,6304129,6353494,6389688,6669313,6790798,6909147,6945492,7188399,7313217,7579924,7711013,7868405,7975177,8050209,8080193,8102038,8225175,8274089,8627353,8773520,8796485,8877489,9076420,9358102,9442086,9527590,9701140,9791875,9794409,9870210,10109254,10185905,10343409,10528224,10555782,10580857,10668526,10800249,10891704,10893413,11165289,11297134,11393110,11401208,11433108,11574340,11641368,11750250,11794822,11844252,11894217,12223086,12253167,12324790,12530769,12533600,12606646,12705364,12826359,12901294,13075449,13096539,13143989,13528689,13593697,13671732,13671982,13889208,14100300,14162217,14343009,14789748,14805349,15040320,15115510,15121393,15269475,15513358,15625359,15836788,16043008,16235529,16287440,16920360,17473222,17914993,18048384,18088455,18088513,18090244,18138612,18150520,18206817,18323370,18324713,18430420,18454385,18713812,19035405,19277169,19294352,19544928,19860073,19960468,20215924,20255289,20304432,20419335,20567764,20730485,20876217,21158998,21319017,21334324,21522982,21533875,21601990,21638405,21706146,21780624,21974374,21988044,22116504,22145262,22161940,22379289,22842486,23004718,23574053,23586628,23758294,23787609,24465652,24503202,24767953,24830737,24839817,24876582,24881067,25055206,25448753,25539369,25840650,25922388,25966086,26045593,26150217,26594328,26731973,26846889,26858615,27055685,27156248,27194649,27340468,27455217,27563360,27649678,27895534,28495329,28799446,28846249,29297585,29382520,29445729,29570068,29744129,29807638,29918619,30227140,30513593,30550779,30894382,30922424,31008780,31509249,31669528,31975985,32222689,32230338,32368918,32466822,32621217,32824078,32867809,32877249,33036577,33055335,33076032,33321028,33518374,33940420,34069209,34198085,34787727,34990894,35157102,35171817,35259024,35264329,35382790,35539078,35563633,35594817,35628219,36059062,36175864,36264718,36272568,36369975,36423508,36455029,37207990,37210536,37453633,37500433,37792335,37952529,38120217,38369450,38371182,38371569,38615285,38630257,38794640,39269398,39322564,39339097,39374817,39494405,39499540,39580409,39666402,39915832,39966577,40183589,40311824,40417049,40697847,40728504,40806639,40874209,41037702,41453817,41693782,41861853,41867817,42115929,42459348,42582340,42694017,42858969,43206113,43643970,43720873,43767029,43776406,44573908,44589809,44649588,44792449,44905311,44968273,44990875,45173585,45176984,45321729,45350802,45478798,45576677,45689518,45712342,45819567,46043340,46137849,46269313,46338342,46553568,46626369,46644724,46785913,46835593,46891540,47195110,47351638,47393286,47399448,47632935,47762889,47843889,48254753,48737524,48925048,48925577,49056009,49059615,49103278,49112896,49148782,49318297,49579409,49918324,50182449,50805190,50808464,50824107,50911455,51098808,51264886,51384129,51658894,51792937,51806740,51819077,51876435,51953753,52330256,52372764,52902507,52932646,53057409,53324379,53505190,53556833,53612817,53989050,54195689,54208302,54210478,54260278,54305552,54813500,55009126,55040679,55193217,55252008,55334864,55429449,55498385,55622446,55979817,56099140,56198710,56269848,56389432,56623489,56628622,56634132,56705875,57095110,57159522,57331393,57387334,57486159,57588320,57661654,57972135,58480809,58510793,58557464,58871538,58914868,58987073,59257329,59523977,59594537,59725078,60608875,60966228,61023028,61093746,61265049,61453623,61693126,61836944,62158509,62168088,62251722,62266385,62458390,62503909,62615284,62676853,62979175,63262894,63303579,63332817,63438111,63589633,63776888,64045177,64206228,64240390,64246209,64778644,64786860,65004729,65049833,65259313,65270740,65413073,65776200,65877147,65978422,66598062,66635320,66677583,66907990,67106038,67175089,67281905,67318968,67339397,67438452,67490817,67640649,67972889,68047050,68089569,68172118,68408849,68514132,68527685,68596366,68612217,68674683,68831089,69105984,69356405,69566562,69939099,70080977,70147540,70158855,70161280,70428773,70454710,70519606,70558708,70564935,70640233,71748999,72090969,72104422,72108868,72245585,72583520,72617727,72730650,72846095,73029697,73159075,73263129,73718542,73798420,73847631,73989910,73998225,74138217,74230409,74298485,74356449,74477998,74719662,74836112,74897494,74950068,74964735,75009849,75206153,75269264,75372009,75575010,75733839,75790335,75802606,76099732,76592837,76693057,76750085,76993294,77088468,77250598,77359348,77443540,77564405,77579360,77670964,77744232,77747217,77946166,78286129,78305000,78324888,78425175,78481753,78844597,78931440,79068142,79076977,79378075,79593905,79742049,79773073,79962384,80057302,80289588,80613344,80738286,80843024,81002833,81155409,81176494,81203033,81647817,81656460,81737926,81755575,81768388,81858489,81901990,81998817,82013614,82209129,82233222,82258513,82463897,82797718,82817989,83111259,83227686,83263894,83396344,83653520,83952209,84005875,84177048,84190626,84193536,84411313,84427985,84545652,84677922,84682228,84696015,84819046,85089364,85130817,85321540,85415475,85671713,85765078,85791589,86180353,86426885,86449675,86644329,86694702,86919735,87100224,87263319,87276780,87415314,87430294,87462261,87534934,87669609,87790890,87950452,88053617,88093125,88115499,88328693,88532017,88558104,88787892,88797870,88979249,89118673,89158182,89231217,89509294,89578324,89600713,89703969,89957682,89970250,89998837,90342416,90404197,90444489,90690012,90792785,90948402,91016374,91109840,91249017,91249319,91449609,91460257,91493110,91916817,91947622,92100102,92525393,92540920,92563835,92714384,92932248,93077286,93095232,93160649,93227590,93529462,93643616,93820887,93905817,93966000,94110210,94195983,94235217,94554713,94671173,94695369,94699179,94717728,94937367,95253690,95416089,95512686,95824366,95914948,96148897,96199017,97388740,97454405,97742182,97819017,97987752,98106690,98115113,98164393,98209839,98210518,98282388,98284948,98386409,98941975,99010808,99308686,99342353,99420329,99533657,99551769,99592297,99627867,...,73627648296024032064092271123310515830852789512856693132361164294585571699291473819148964159136090359178804825106104293147667007929860101401782344894303829859997604332291164750529193441605303868491877487738097923511979251900411129015674597471600785015070188417646592046140428020005197753903165147097566923248705963461197741423896368542776096394592237665800888290181902071585617971036966758343235524725728575909639339419843088969992216863942501519815952322356469647338516460849702251059950426369774956248110626283796308647284860214171381214298675086733920780962332282588923059627466520120471712923806703096727402382584864539632595983682178225688762672562176726527252219020549304889314916590436614981521574001920610389632023094466737488984878520097276268696705680674278441789576324411214759538503029994715672946071441531874751282657662300635754077097927926392699856361254747930782510661048199197195405844954772268138609434852621431276349380093911495567773667815045068882311021097555407536276547200560786951513701751352216224734587066303866001049318327577326343596391657246208989805610659903272058183696656924546728076478112344840695630560683649289688643433138119698114832840998121721671536535257078851507531657470151186249581808911051536111280796586840541814003854219061622436137685360954779933234861064428718757940320426812435063801409110127283881054441989306898628633226744112139016743013525694078440735343405311090285904014543970380720470590707592131789992827974897160655620450643432364002898206546658181192614037033478212067971244681122082709305480181961394768184581229737437883925123959455660759582255226268692978563991979909545512776140936274584814822861531392655520418880428541786802056121103560826222586347250115090893822163800491725411505339214640309331718146456118261774907244009603889668964628707341062833094525338432910371726713204987114206602459248208741562642526877580559845203942845735977316973704528472605136899420936981404728177611704970882216532167574103379514286692374987334113199678292012466992840758056512232597749761809595545535508449275533165555402367064453914150068215827723802800707123819232896513769999766028704021961197643254505927002234739434162547546081591064232221500015596598801263215598114380798385011114575853428642479571634442815571040437355596668745887943118141623529488796871768811415954750432260135665790794913401385001187975540754449283099778792080075931206339273591997915109710507746891641883838661745123924541827652900150021699515036101502804086375045516883}
15688  5672807540997350996624735024406823807461420328921073938434214738: {78415,94098,219506,266407,313580,376296,423333,595346,641527,735127,814892,922111,1065356,1158026,1345298,1379048,1440812,1551429,1667167,2092946,2130487,2303637,2315756,2465906,2565452,2690252,2742425,2959927,3055065,3210098,3258736,3290910,3509647,3510304,3619077,3666078,3917750,3949092,3951986,4308425,4463385,4701300,4760944,4782247,5014720,5130248,5170110,5179532,5356062,5373781,5503111,5514784,5590977,5641560,5771529,5951311,5980298,6017664,6130087,6204132,6295532,6346755,6397711,6419372,6626696,6655925,6718569,6769872,7019647,7276785,7455033,7616106,7676830,7761904,7987110,8427967,8519584,8681865,8732142,8864287,9212196,9260656,9474905,9530241,9584532,9623498,9750956,9976057,10186197,10345226,10418238,10733612,10762711,10966900,11244146,11345525,11369886,11423498,11602706,11836652,11868127,12037111,12126425,12139466,12153057,12205807,12496586,12589448,12710167,13059212,13160280,13614630,13711111,13791212,13876927,13959727,14037153,14037632,14074376,14163129,14251510,14290207,14291385,14400332,14467925,14522272,14551710,14803826,14805315,14887052,14947711,15111367,15156626,15163881,15244144,15356311,15519247,15521824,15667000,15792336,15833673,15858956,15881705,16002789,16006327,16297448,16337556,16562066,16707692,16732087,16882558,16945701,17089665,17101812,17149662,17361510,17433932,17462052,17625375,17692233,17766378,18038252,18228976,18334629,18402847,18479498,18487185,18518944,18717487,18800400,18882956,18909969,18952711,19058046,19124012,19351941,19499047,19576807,19719664,19795985,20053760,20207498,20359300,20504311,20507598,20507973,20833812,21040567,21150450,21421447,21647372,22091666,22184622,22553287,22560480,22602506,22612805,22628167,22673265,22688150,23001487,23038025,23270037,23392265,23755182,23761717,24037207,24064512,24117940,24184816,24275756,24431160,24841087,24950585,25131247,25269905,25380540,25472786,25564327,25702892,25709705,26059904,26066311,26209833,26280367,26564767,26667905,26809106,27007052,27057121,27072576,27130111,27135366,27141746,27207918,27225780,27340927,27485055,27645630,27702425,27710837,27830311,27834956,28070718,28177711,28425356,28661047,28941528,29040832,29317392,29483285,29488672,29527016,29839052,29940702,30089887,30273098,30323886,30425407,30456648,30582065,30851646,31355287,31421167,31653881,31716812,31738497,31900298,32001486,32189993,32284473,32400727,32402985,32530111,32559219,32670936,32708498,32869706,32961561,32982066,33119756,33168776,33174756,33217893,33242910,33513098,33808111,33945310,34052492,34175585,34263729,34380853,34454200,34507077,34563184,34621448,34866956,34926353,34933687,35272846,35365111,35379942,35459104,35637441,35746826,35795852,35853847,35972453,35975311,36063626,36259532,36606956,36698478,36728150,36754803,36853106,36877111,36962585,37055527,37314873,37325066,37582809,37783925,37993772,38037857,38054311,38459527,38653030,38760975,38883582,38949129,39202711,39260972,39529861,39586910,39877927,39891492,40045111,40432687,40734372,41010702,41345040,41413111,41474517,41651285,41841367,41843301,42012332,42212311,42278666,42317647,42425525,42579727,42809417,42891847,42973784,42995311,43199169,43289096,43355167,43494956,43534469,43645298,43660807,43836332,44073780,44101376,44164447,44355102,44363887,44457406,44512711,44549906,44711457,44857447,45004111,45219830,45340710,45343807,45425612,45529385,45788974,45822967,46059847,46341573,46383636,46492106,46513170,46667311,46805767,46876136,46895756,47012032,47443327,47459756,47504292,47517358,47801311,48116498,48345507,48363424,48373207,48418006,48493300,48546727,48553377,48700233,48849098,48890311,49153205,49229287,49236117,49340753,49374425,49578098,49614048,49729097,49729111,49894790,49981542,50229673,50277561,50389780,50459407,50603372,50826956,50910630,51161576,51162092,51237781,51443249,51886706,51961687,52256311,52486341,52499756,52735653,52796311,52888536,53074185,53227925,53308617,53559007,53894167,53927287,53993311,54088593,54107326,54263796,54304672,54397077,54408852,54479311,54580298,54635262,54700567,54716936,54720626,54856447,55041127,55140746,55271756,55313287,55491487,55550311,55572473,55638007,55717385,55753927,55804777,55811985,55815804,55823756,55925647,55977098,56066767,56122711,56154572,56471230,56612464,56719087,56808266,56925356,57145292,57354487,57548311,57554175,57556773,57737527,57899311,58168447,58182982,58191960,58305905,58490287,58614425,58763237,58815727,58894207,58904097,58983846,59009767,59047711,59178247,59196607,59249310,59499603,59532784,59582311,59856487,59873748,60124111,60194311,60262711,60302887,60428972,60467736,60494047,60554167,60577711,60723727,60847711,60886346,60921905,60943111,61048087,61092756,61096687,61156310,61287026,61373887,61378567,61391120,61421407,61436527,61457047,61472167,61490311,61517132,61556553,61784456,62071424,62168492,62397905,62540673,62613266,63191048,63199264,63270986,63510580,63533066,63683852,63689022,63791852,63873510,64371758,64575626,64758425,65222546,65408012,65412820,65465955,65481598,65664609,65860606,65994098,66760466,66860862,66909932,66974382,67765476,67881940,67900298,68026203,68131744,68218197,68512172,68516875,68534277,68568513,68752918,69065010,69168580,69507513,69650186,69774098,69830352,69967086,69971033,70123925,70268306,70337310,70391498,70486790,70514546,70536676,70737646,70743212,70792665,71027457,71089929,71099172,71483756,71493746,71985400,72101066,72277736,72825098,72971801,73106286,73196830,73304906,73387572,73590956,73643585,73654917,73669344,73723173,73901426,73905932,74639756,74877486,75026464,75512176,76207785,76212696,76278785,76648212,76897329,77060426,77296180,77404946,77488341,77710110,77974412,78203786,78269105,78495384,78559146,79009772,79049614,79332746,79398969,79721110,80257785,80447306,80889098,80973305,80983575,81125086,81288304,81312453,81315717,81390417,81458328,81588425,81686732,81874706,81938164,81983498,82220250,82513689,82525298,82878012,82890784,83002296,83294150,83433669,84129098,84148710,84298065,84404772,84443756,84584148,84942933,84951198,85004062,85608304,85642665,85661612,85739283,85804106,86081001,86382480,86492481,86634457,86672972,87057806,87239498,87644426,87684425,87701600,87745298,87836196,88198385,88307307,88372302,88797416,88825253,88903444,89142386,89241098,89325061,89587617,89758624,89884678,89917936,89987756,90136085,90187532,90601313,90704498,90729400,90786092,91089266,91185098,91352176,91449342,91482956,91534542,91566244,91640619,92041106,92141312,92248025,92539689,92605298,92755416,92978546,93252132,93377583,93545140,93687585,93922926,94086580,94727369,94894341,94900298,94990226,95119297,95124665,95665332,95881586,96121292,96309342,96360585,96699185,96758546,96804425,96823636,96974200,97088705,97105298,97167966,97180290,97684172,97881250,97906110,98463508,98664300,98720906,98850956,98967633,99141932,99445478,99626216,99897093,99933424,99952980,99959666,...,98170197728032042752123028164414021107803719350475590843148219059447428932388631758865285545514787145571739766808139057530222677239813468535709793192405106479996805776388219667372257922140405157989169983650797231349305669200548172020899463295467713353426917890195456061520570693340263671870886862796755897664941284614930321898528491390368128526122983554401184386909202762114157294715955677790980699634304767879519119226457451959989622485256668693087936429808626196451355281132936334746600568493033274997480835045061744863046480285561841619064900115645227707949776376785230746169955360160628950565075604128969869843446486052843461311576237634251683563416235635369669625360732406519086555453915486642028765335894147186176030792622316651979838026796368358262274240899037922386101765881619679384670706659620897261428588709166335043543549734181005436130570568523599808481672997241043347548064265596260541126606363024184812579803495241701799173458548660757031557086726758509748028130073876715035396267414382602018269001802954966312782755071821334732424436769768458128522209661611986407480879871029410911595542566062304101970816459787594174080911532386251524577517492930819777121330828962228715380342771802010042209960201581666109078548068714815041062115787389085338472292082163248183580481273039910979814752571625010587093902416580085068545480169711841405922652409198171510968992149518688990684700925437920980457873748120381205352725293840960627454276789509053323770633196214207493934191243152003864275395544241590152049377970949423961659574829443612407306909281859690912774972983250511900165279274214346109673635024923971418655973212727350368187915032779753097148708523540693891840571389049069408161471414434963448463000153454525096218400655633882007118952853745775624195274824349033209658679471852891952838276454750444126033784577213828968950939982818942136612330944988750190035836774079793605257127647969755964939371296806849199227915975206304236815606627842955376223432137839352382256499983112150932904389349955990454344075349643463666349079460727380677932367377554073869822752605218866757621103631737067609498425643862018359999688038272029281596857672674569336312985912216730061442121418976295333354128798401684287464152507731180014819434471238189972762179257087428053916474128891661183924157522164705985062495691748554606333909680180887721059884535180001583967387672599044133038389440101241608452364789330553479614010329188855845118215660165232722436870533533362266020048135337072115166727355844}
15689  5697886571232327431867829695263826274199325190858192462928090442: {125464,141147,329259,391975,470370,501728,564444,893019,1018615,1206667,1222338,1331695,1598034,1723810,1737039,1801015,1895707,2017947,2068572,2161218,2851394,2894695,2928607,3071516,3139419,3206815,3362815,3473634,3698859,3848178,4035378,4073420,4165826,4387880,4488967,4815147,4825436,4888104,4936365,4992031,5265456,5293418,5335627,5499117,5798359,5876625,5898919,5923638,5927979,5951180,6118759,6268400,6365887,6412810,6474415,6791666,6837739,6893480,7051950,7141416,7454636,7522080,7695372,7711999,7755165,7769298,7869415,8023552,8024215,8034093,8103074,8242807,8272176,8275147,8283370,8462340,8618191,8958092,8970447,9026496,9306198,9443298,9549319,9629058,9702380,9940044,9982786,10136731,10154808,10649480,11015767,11298578,11424159,11424799,11515245,11575820,11642856,11980665,12174991,12188695,12189067,12235954,12282928,12315079,12608258,12706988,12779376,13098213,13300279,13338626,13417015,13581596,13708625,13818294,13890984,14050471,14072719,14260267,14376798,14435247,14626434,14795815,15159848,15422026,15517839,15627357,15736810,15950354,16100418,16160386,16204076,16324015,16450350,16548178,16624927,16866219,16884139,17054829,17135247,17239015,17254706,17404059,17547040,17592970,17754978,18000415,18152840,18209199,18570991,18608815,18667231,18716204,18744879,18830407,18884172,19055180,19402280,19583750,19588818,19740420,19823695,20218508,20371810,20421945,20686818,20884615,21056448,21111564,21161714,21178699,21337052,21377265,21600498,21656479,21724747,21783408,21786826,21792415,21827565,22205739,22330578,22547815,22594268,22734939,22786220,22802416,22866216,23148680,23282736,23420287,23500500,23577079,23589644,23603695,23688504,23788434,23905015,23987959,24446172,24506334,24649580,24843099,25061538,25067200,25213292,25323837,25410728,25449125,25652718,25724493,25790347,25802588,25836139,26042265,26150898,26193078,26235367,26287978,26347471,26649567,26693311,27057378,27059215,27187394,27261319,27343464,27343964,27719247,27778416,28200600,28324434,28493707,28587069,28686018,29022679,29579496,29610698,29747947,29876911,29888839,30063127,30075799,30080640,30147425,30231020,30242786,30293767,30311247,30344695,30538950,30761397,30854527,31026716,31250718,31673576,31725675,32086016,32128615,32471058,32574880,33137499,33276933,33758815,33840720,33903759,34032225,34609807,34734439,34793695,34946444,35531695,35632773,35696071,35829986,35898907,36061519,36096768,36176910,36177026,36180488,36277224,36301040,36413634,36646740,36649426,36860840,36908770,37298815,37427624,37602061,37877959,38070810,38209179,38290699,38554338,38581147,38588704,39089856,39646015,39720146,39920936,40213659,40431848,40510578,40589131,40608864,40703049,40712619,40811877,40838670,40931287,41016619,41135528,41399695,41460970,41468445,41752434,42106077,42317996,42565615,42593947,42638034,42668648,42801007,42954871,43045964,43067750,43203980,43211659,43276810,43412292,43561248,43583695,43772647,43948748,43976088,44233008,44290524,44323880,44670727,44744815,44758578,44766379,44911053,45324415,45409647,45485829,45572311,45684972,45758695,46009436,46277469,46776847,46926847,47145199,47148106,47173256,47492215,47516588,47575218,47812399,47850447,47877319,48002229,48931304,49006404,49062747,49076215,49156711,49304559,49473099,49535906,49639819,49661474,49679634,49753164,49762134,49864365,50110412,50269647,50427991,50897506,50917965,50938639,51078738,51582667,51681300,51844776,51932172,52091186,52300434,52345159,52515415,52697047,52909269,53069913,53188656,53417239,53463946,53563807,53620239,53693778,53717230,54061399,54095439,54111370,54312496,54368695,54389298,54680936,54795415,54910434,55047717,55092225,55126720,55279659,55285519,55292167,55299356,55458607,55791068,55987599,56032831,56774791,56782015,56990658,57598892,57692498,57915439,57979545,58114087,58325373,58518427,58593847,58595170,58619695,58765040,58848031,58891458,59140136,59324695,59380365,59488258,59615276,59837238,60119599,60454280,60494731,60616625,60695659,61027186,61101558,61153879,61516053,61646647,61788764,61844848,61846327,62017560,62987225,63018498,63055147,63243019,63254215,63294439,63339056,63417999,63533695,63781531,63951970,63952615,64445378,64460676,64737836,64933644,65176651,65242434,65421631,65467947,65624695,65648156,65735618,65754498,66073154,66110670,66152064,66532653,66605659,66642056,66686109,66824859,67023031,67036748,67386847,67829745,67880840,68011065,68138418,68178367,68396170,68683461,68684647,68695231,69089695,69149119,69575454,69738159,69769755,69779695,69981788,70193215,70314204,70328731,70343634,70518048,70528658,70765580,70792459,70952407,71078156,71127266,71156695,71189634,71256438,71276037,71431615,72118124,72174747,72351728,72483211,72529436,72545136,72627009,72739950,72847016,72910058,73254319,73273647,73522807,73773127,73976107,74367147,74415980,74421072,74842185,74907266,74972313,75000866,75032599,75261679,75536215,75584670,75905058,76240434,76365945,76738900,76742364,76743138,76896415,77165407,77230570,77260514,77306359,77589280,77697739,77710615,77830059,78538796,78645128,78678194,78714511,78749634,78988810,78999080,79160818,79207147,79332804,79388225,79604815,79739815,79831664,79933154,80083531,80367178,80607019,80623648,80834098,81160989,81213607,81395694,81457008,81605791,81613278,81725239,81748418,81760015,81766025,81870447,81952893,82024987,82075404,82080939,82711119,82907634,83387564,83637415,83723706,83735634,83965647,84231858,84706845,84802219,84852425,84918696,85164680,85212399,85388034,85603759,85640215,85717938,86412226,86460725,86568799,87125287,87172939,87274473,87287940,87441746,87534058,87552812,87726847,88170845,88429015,88475769,88873965,88879999,89147816,89179618,89225431,89299176,89354695,89584898,89699479,89810622,89936546,89981750,90080287,90347170,90353968,90643458,90701604,90756331,90957596,91043227,91153354,91329519,91379036,91424684,91580107,91639134,91734465,91929319,91930539,91988695,92086680,92275698,92382415,92538626,92646367,92676684,93107136,93252738,93289448,93299695,93455239,93571826,93671186,93783080,93919899,94194667,94357579,94390220,94420327,94703276,94786572,94798896,94887067,94906479,95265870,95299599,95501227,95525778,95533533,95661847,95687778,95810265,95846047,95938759,95941927,96509506,96557637,96620225,96863439,97010959,97098967,97442587,97468015,97475048,97833819,97850096,97851154,98112018,98119230,98206556,98222397,98225792,98297564,98636594,98762215,98790909,98991147,99158818,99216247,99289279,99546679,99674047,99836648,...,147255296592048064128184542246621031661705579025713386264722328589171143398582947638297928318272180718357609650212208586295334015859720202803564689788607659719995208664582329501058386883210607736983754975476195847023958503800822258031349194943201570030140376835293184092280856040010395507806330294195133846497411926922395482847792737085552192789184475331601776580363804143171235942073933516686471049451457151819278678839686177939984433727885003039631904644712939294677032921699404502119900852739549912496221252567592617294569720428342762428597350173467841561924664565177846119254933040240943425847613406193454804765169729079265191967364356451377525345124353453054504438041098609778629833180873229963043148003841220779264046188933474977969757040194552537393411361348556883579152648822429519077006059989431345892142883063749502565315324601271508154195855852785399712722509495861565021322096398394390811689909544536277218869705242862552698760187822991135547335630090137764622042195110815072553094401121573903027403502704432449469174132607732002098636655154652687192783314492417979611221319806544116367393313849093456152956224689681391261121367298579377286866276239396229665681996243443343073070514157703015063314940302372499163617822103072222561593173681083628007708438123244872275370721909559866469722128857437515880640853624870127602818220254567762108883978613797257266453488224278033486027051388156881470686810622180571808029087940761440941181415184263579985655949794321311240901286864728005796413093316362385228074066956424135942489362244165418610960363922789536369162459474875767850247918911321519164510452537385957127983959819091025552281872549169629645723062785311040837760857083573604112242207121652445172694500230181787644327600983450823010678429280618663436292912236523549814488019207779337929257414682125666189050676865820743453426409974228413204918496417483125285053755161119690407885691471954633947409056945210273798841873962809456355223409941764433064335148206759028573384749974668226399356584024933985681516113024465195499523619191091071016898551066331110804734128907828300136431655447605601414247638465793027539999532057408043922395286509011854004469478868325095092163182128464443000031193197602526431196228761596770022229151706857284959143268885631142080874711193337491775886236283247058977593743537622831909500864520271331581589826802770002375951081508898566199557584160151862412678547183995830219421015493783283767677323490247849083655305800300043399030072203005608172750091033766}
15690  5723075601501508424504198599770304011957063584112725075875613318: {109781,156830,172469,188196,297749,360341,439012,454169,532814,627160,641609,672821,705555,735221,752592,846666,953369,1108949,1190692,1283054,1295381,1388489,1470254,1629784,1667381,1698329,1833507,1844222,2038229,2130712,2161589,2315609,2316052,2397051,2530901,2585715,2690596,2758096,2776469,2881624,2990921,3052121,3102858,3241827,3334334,3449141,3540569,3692789,3839395,3875189,4057301,4185892,4260974,4269401,4277091,4607274,4631512,4722581,4813001,4873241,4931812,5083829,5091775,5130904,5210451,5380504,5484850,5503829,5772267,5862581,5919854,6031795,6053067,6110130,6130889,6248739,6398549,6420196,6428249,6517472,6576629,6581820,6843209,6961481,7019294,7020608,7050101,7238154,7332156,7438975,7462709,7639061,7835500,7898184,7903972,7940127,8195609,8603849,8616850,8885457,8926770,9039509,9155381,9242201,9300041,9318295,9402600,9521888,9564494,9619215,9905429,10029440,10106441,10163801,10187499,10260496,10340220,10359064,10577925,10712124,10747562,10963481,11006222,11029568,11048789,11105621,11181954,11197615,11219189,11283120,11360969,11543058,11653947,11902622,11960596,12035328,12066869,12127975,12154611,12207449,12235541,12260174,12408264,12425055,12459989,12591064,12693510,12739829,12795422,12795701,12838744,12991001,13253392,13264867,13311850,13408181,13437138,13463669,13539744,13574549,13823561,13959297,14039294,14044361,14164947,14237141,14374601,14443587,14469775,14553570,14566709,14910066,14974179,14977049,15140681,15232212,15353660,15385589,15521369,15523808,15548501,15629849,15883735,15974220,16008521,16439369,16761161,16855934,16947867,16976995,17001749,17039168,17215061,17363730,17401289,17464284,17728574,17772569,18168629,18353931,18424392,18431669,18484181,18521312,18562889,18720089,18746261,18912387,18949810,18981449,19060482,19169064,19246996,19501912,19579541,19952114,20007939,20121929,20255095,20372394,20507189,20609621,20690452,20727441,20836476,21068981,21196121,21467224,21525422,21565197,21677429,21933800,21939651,22234387,22331381,22488292,22631381,22656329,22691050,22739772,22780949,22846996,23133039,23205412,23252681,23395255,23605215,23673304,23696921,23736254,23818975,23925531,24065141,24074222,24150627,24240579,24252850,24278932,24306114,24411614,24504629,24675525,24723401,24796181,24822267,24844661,24868889,24993172,25134869,25178896,25273135,25375829,25420334,25735769,25882059,26118424,26212889,26320560,26389455,26568629,26592281,26632467,26671315,27134069,27229260,27298121,27344921,27368309,27415061,27422222,27508469,27582424,27714379,27753854,27919454,28074306,28075264,28112501,28148752,28242835,28326258,28482775,28503020,28527509,28580414,28582770,28688201,28800664,28935850,28962761,29044544,29103420,29145161,29375625,29383227,29487055,29607652,29610630,29711861,29774104,29824601,29895422,29914649,30116789,30222734,30313252,30327762,30452249,30488288,30496841,30557715,30712622,30719321,30811975,30896729,31030227,31038494,31043648,31334000,31359989,31516615,31584672,31645001,31657927,31667346,31688729,31717912,31742571,31763410,31819721,31885109,32005578,32012654,32145941,32253235,32340809,32400747,32594896,32675112,32680239,32685641,32749171,33007061,33124132,33305429,33390389,33415384,33432821,33464174,33495867,33765116,33891402,33939509,34179330,34179955,34203624,34299324,34524821,34628681,34723020,34867864,34897781,34924104,34930819,34939061,34959689,35144981,35186069,35250750,35377867,35384466,35391029,35532756,35574809,35682651,35757941,35977051,35993587,36001109,36061721,36076504,36102089,36457952,36463961,36669258,36703769,36759501,36805694,36958996,36974370,37037888,37179929,37335067,37357301,37434974,37592307,37600800,37765912,37768649,37788775,37819938,37905422,38042719,38079689,38116092,38248024,38253749,38427161,38479077,38542409,38703882,38783395,38829269,38924489,38998094,39153614,39226347,39227849,39289617,39378761,39431967,39439328,39591970,39622901,39847061,39995861,40107520,40125641,40414996,40457561,40494281,40586067,40718600,40781091,40877909,41005001,41008622,41015196,41015946,41276021,41276599,41312021,41437769,41667624,41688089,41901401,42081134,42219209,42300900,42342101,42486651,42512899,42814891,42842894,42898901,42916169,42950681,43019609,43029027,43071221,43276949,43294744,43362329,43379381,43464521,43668041,43683055,44183332,44369244,44416047,44437529,44520149,44913941,44953831,45106574,45120960,45125321,45205012,45206261,45225610,45256334,45346530,45364179,45367541,45376300,45591989,45687701,45799001,45808425,45894089,46002974,46036181,46067669,46076050,46349621,46540074,46675289,46767689,46784530,46859801,46876077,47195081,47316041,47466521,47510364,47523434,47601269,47809589,47845819,48074414,48129024,48235880,48265289,48369632,48396149,48551512,48569621,48641561,48706587,48862320,48955721,49237961,49251989,49489241,49613909,49682174,49901170,49997621,50024789,50262494,50308121,50441801,50468441,50481749,50539810,50761080,50945572,50994521,51033461,51128654,51149849,51291221,51405784,51418901,51419410,51449827,51671861,51747619,51859481,51971189,52119808,52132622,52192661,52265909,52278089,52419666,52459829,52560734,52897495,52923929,52982549,53087561,53129534,53168789,53203481,53261141,53335810,53444309,53467061,53580341,53618212,53670389,53737589,53744979,53782229,53807455,53882201,54004975,54014104,54014489,54114242,54145152,54260222,54265365,54265539,54270732,54283492,54415836,54451560,54489689,54620451,54681854,54690101,54711029,54721481,54742361,54866969,54935935,54970110,54974139,55233881,55291260,55304021,55363155,55404850,55421674,55502261,55579579,55648841,55658549,55660622,55669912,55716629,55745561,55774421,55946069,56141436,56143049,56170901,56189429,56309081,56355422,56463509,56606741,56730389,56739161,56850712,56869781,57015641,57106215,57117209,57150809,57292181,57322094,57390581,57511795,57519989,57567989,57591881,57607769,57678869,57772661,57831507,57849941,57883056,58081664,58180469,58246169,58311221,58311799,58382741,58460489,58634784,58647221,58674389,58770751,58834709,58874069,58893641,58932569,58966570,58977344,59022281,59054032,59060249,59066549,59085401,59116661,59153909,59317961,59359541,59394869,59395735,59447321,59580219,59595209,59600789,59650649,59678104,59683529,59710709,59812169,59874761,59881404,59900501,59946329,59991509,60142169,60179774,60184469,60207689,60212309,60276149,60368969,60458261,60499541,60507701,60511769,60536009,60546196,60591449,60595349,60618581,60647772,60664181,60671669,60741209,60759029,60765867,60780149,60790601,60796567,60800981,60814709,60824921,60831689,60850814,60851801,60874901,60900821,60913296,61002329,61028501,61062389,61097801,61164130,61164569,61181621,61186421,61258005,61269449,61339721,61360841,61393481,61395029,61411529,61424309,61440341,61444169,61470041,61478489,61485461,61493849,61514441,61517129,61530101,61533209,61535561,61536281,61540889,61543241,61543541,61703292,62110411,62191455,62628651,62638015,62710574,62842334,63307762,63433624,63476994,63741139,63800596,63957051,64002972,64379986,64568946,64601625,64801454,64805970,64915215,65060222,65118438,65341872,65416996,65676559,65739412,65923122,65964132,66239512,66337552,66349512,66435786,66485820,67026196,67137867,67616222,67890620,68104984,68351170,68527458,68761706,68814487,68908400,69014154,69124195,69126368,69242896,69733912,69738835,69852706,69867374,70545692,70722159,70730222,70759884,70918208,71274882,71362827,71493652,71591704,71707694,71944906,71950622,71998615,72127252,72519064,73213912,73396956,73456300,73509606,73706212,73754222,73925170,74111054,74303859,74492211,74519095,74519451,74629746,74643201,74650132,75165618,75567850,75987544,76075714,76108622,76346259,76618107,76919054,77235955,77306060,77521950,77767164,77898258,78004339,78136779,78405422,78450651,78521944,79059722,79173820,79755854,79782984,80090222,80195919,80540667,80575845,80865374,80922295,81167055,81468744,81583947,81628267,82021404,82060195,82365651,82690080,82693039,82826222,82949034,83302570,83682734,83686602,83795935,84024664,84424622,84557332,84635294,84851050,85159454,85290667,85485987,85618834,85783694,85947568,85990622,86398338,86538747,86578192,86710334,86989912,87068938,87290596,87321614,87357067,87477235,87672664,87892755,88147560,88202752,88328894,88337187,88456975,88710204,88727774,88847695,88914812,89025422,89099812,89232387,89422914,89714894,89755857,90008222,90147655,90439660,90661795,90681420,90687614,90851224,91058770,91540779,91577948,91645934,91652337,92119694,92683146,92767272,92984212,93019975,93026340,93334622,93611534,93752272,93791512,94024064,94527747,94886654,94919512,95008584,95034716,95602622,95923625,95927955,96232996,96668067,96691014,96726848,96746414,96836012,96986600,97093454,97106754,97400466,97698196,97780622,97863651,98173495,98306410,98458574,98472234,98603427,98631747,98681506,98748850,99109731,99156196,99166005,99228096,99458194,99458222,99789580,99963084,...,220882944888072096192276813369931547492558368538570079397083492883756715097874421457446892477408271077536414475318312879443001023789580304205347034682911489579992812996873494251587580324815911605475632463214293770535937755701233387047023792414802355045210565252939776138421284060015593261709495441292700769746117890383593224271689105628328289183776712997402664870545706214756853913110900275029706574177185727728918018259529266909976650591827504559447856967069408942015549382549106753179851279109324868744331878851388925941854580642514143642896025260201762342886996847766769178882399560361415138771420109290182207147754593618897787951046534677066288017686530179581756657061647914667944749771309844944564722005761831168896069283400212466954635560291828806090117042022835325368728973233644278615509089984147018838214324595624253847972986901907262231293783779178099569083764243792347531983144597591586217534864316804415828304557864293829048140281734486703321003445135206646933063292666222608829641601682360854541105254056648674203761198911598003147954982731979030789174971738626969416831979709816174551089970773640184229434337034522086891682050947869065930299414359094344498522994365165014609605771236554522594972410453558748745426733154608333842389760521625442011562657184867308413056082864339799704583193286156273820961280437305191404227330381851643163325967920695885899680232336417050229040577082235322206030215933270857712043631911142161411772122776395369978483924691481966861351930297092008694619639974543577842111100434636203913734043366248127916440545884184304553743689212313651775371878366982278746765678806078935691975939728636538328422808823754444468584594177966561256641285625360406168363310682478667759041750345272681466491401475176234516017643920927995154439368354785324721732028811669006893886122023188499283576015298731115180139614961342619807377744626224687927580632741679535611828537207931950921113585417815410698262810944214184532835114912646649596502722310138542860077124962002339599034876037400978522274169536697793249285428786636606525347826599496666207101193361742450204647483171408402121371457698689541309999298086112065883592929763517781006704218302487642638244773192696664500046789796403789646794343142395155033343727560285927438714903328446713121312066790006237663829354424870588466390615306434247864251296780406997372384740204155003563926622263347849299336376240227793619017820775993745329131523240674925651515985235371773625482958700450065098545108304508412259125136550649}
15691  5748375110479675914900049114192627572578816993920435360613782477: {235245,250928,282294,548765,658518,783950,799221,940740,1003456,1128888,1269999,1426061,1488365,1786038,1864373,1924581,2037230,2205381,2240381,2413334,2444676,2521421,2663390,2766333,2895065,3196068,3273149,3363245,3447620,3461081,3474078,3602030,3791414,4035894,4052573,4137144,4322436,4489541,4654287,4707941,5001501,5232365,5336309,5702788,5789390,5857214,5899673,6143032,6164765,6278838,6305741,6366701,6391461,6413630,6725630,6838613,6910911,6947268,7397718,7523321,7696356,8025245,8070756,8146840,8227275,8243861,8331652,8619293,8775760,8879781,8977934,9064181,9165195,9212549,9630294,9650872,9776208,9794375,9872730,9879965,9984062,10480349,10528941,10530912,10586836,10671254,10857231,10998234,11017181,11233901,11596718,11753250,11797838,11847276,11855958,11902360,11979773,12237518,12532421,12536800,12731774,12768893,12825620,12925275,12948830,13390155,13557269,13583332,13675478,13786960,14103900,14282832,14346741,14405261,14909272,14950745,15019469,15044160,15390744,15423998,15510330,15538596,15728333,15738830,16047104,16048430,16068186,16121343,16206148,16485614,16509333,16544352,16550294,16566740,16627061,16772931,16924680,17064173,17236382,17314587,17776373,17853933,17916184,17940894,18052992,18390261,18612396,18783821,18886596,19040265,19098638,19192075,19193133,19258116,19360841,19404760,19476893,19647641,19851749,19880088,19965572,19967775,20155707,20273462,20309616,20714141,21045749,21058941,21298960,21830355,21896621,22031534,22061273,22365099,22597156,22848318,22849598,22853621,23030490,23151640,23285712,23762189,23961330,24041141,24058745,24134621,24349982,24377390,24378134,24471908,24565856,24630158,25200581,25216516,25283901,25413976,25558752,25642301,25674701,25863065,26045595,26052341,26196426,26350853,26592861,26600558,26677252,26834030,27140573,27163192,27417250,27515141,27598169,27636588,27678521,27753173,27781968,28100942,28110365,28145438,28424715,28520534,28534229,28558745,28590723,28753596,28870494,29006765,29238461,29252868,29591630,29928171,30319696,30348665,30468533,30479501,30509381,30558591,30593561,30844052,31035678,31241465,31254714,31473620,31529621,31566941,31900708,32200836,32288133,32320772,32408152,32648030,32900700,33045173,33096356,33249854,33405173,33467021,33674381,33732438,33768278,34036575,34109658,34270494,34478030,34509412,34808118,35094080,35185940,35509956,35604381,35628775,35700653,36000830,36111333,36305680,36379275,36418398,36459171,36464441,36617421,37009565,37141982,37217630,37334462,37432408,37489758,37660814,37768344,37882901,37891565,38110360,38130501,38157869,38681549,38804560,38921069,39006413,39167500,39177636,39480840,39647390,40437016,40743620,40843890,40928789,40936541,41133333,41373636,41405165,41630781,41769230,41879181,42084281,42111459,42112896,42206395,42223128,42323428,42357398,42425981,42482573,42489387,42674104,42754530,42806501,42870621,42874155,42980981,43200996,43312958,43403775,43449494,43566816,43573652,43584830,43655130,44411478,44415945,44661156,44676461,44843133,44888861,44980061,45095630,45188536,45334101,45395261,45469878,45491643,45572440,45595901,45604832,45732432,46068933,46198745,46297360,46474733,46557741,46565472,46840574,47001000,47154158,47179288,47207390,47262341,47377008,47501019,47576868,47645115,47671961,47810030,47968973,47975918,48008367,48018981,48711173,48715229,48892344,49012668,49299160,49686198,49744373,50123076,50134400,50196261,50338301,50426584,50518745,50647674,50821456,50837103,50898250,51268995,51305436,51448986,51580694,51605176,51672278,51914621,52084530,52218341,52301796,52386156,52470734,52546829,52575956,52691693,52694942,52876125,52887893,53076699,53299134,53386622,54114756,54118430,54374788,54522638,54686928,54687928,55003887,55208541,55229165,55438494,55459001,55461555,55504421,55556832,55885709,56010221,56152461,56401200,56506265,56648868,56720375,56729907,56858133,56987414,57174138,57372036,57932249,57959573,58045358,58055823,58497141,58503413,58574741,58730421,58855709,59158992,59221396,59264861,59387955,59495894,59544293,59591861,59753822,59777678,60126254,60151598,60161280,60294850,60462040,60485572,60587534,60622494,60689390,61017173,61077900,61512933,61522794,61523919,61709054,61818581,61983149,62053432,62501436,62642741,62804621,63121701,63302681,63347152,63451350,63454181,63681965,64062173,64172032,64257230,64264341,64863221,64942116,64976921,65145533,65149760,66274998,66489101,66553866,67012613,67022765,67192493,67386029,67517630,67659861,67681440,67807518,67838415,67854365,67884501,67922669,68019795,68064450,68348453,68704229,68706701,69004461,69114075,69158141,69219614,69452729,69468878,69547673,69587390,69810111,69892888,70176795,70664429,71063390,71265546,71285151,71392142,71493773,71504141,71645309,71659972,71797814,72111621,72123038,72193536,72353820,72354052,72360976,72554448,72602080,72827268,72961373,73293480,73298852,73521581,73598789,73721680,73817540,74046101,74523261,74597630,74851755,74855248,74940269,75204122,75233981,75378173,75393741,75682745,75755918,75809715,76059941,76116173,76141620,76418358,76581398,76692981,76713581,77108676,77129115,77162294,77177408,77316473,77500181,78179712,78198933,78306341,78629499,78841101,79292030,79299749,79440292,79494821,79639001,79694301,79750745,79841872,79896281,80003715,80207261,80427318,80863696,81021156,81171363,81178262,81185273,81217728,81317213,81388901,81390333,81406098,81425238,81623754,81677340,81735881,81771245,81862574,82022781,82033238,82067573,82172549,82174265,82271056,82455165,82799390,82921940,82936890,83054573,83107275,83115773,83132511,83490933,83504868,83782745,84212154,84372089,84533133,84635992,84863275,85131230,85187894,85276068,85337296,85511861,85602014,85909742,85983141,86091928,86135500,86407960,86423318,86423501,86553620,86824584,87122496,87167390,87169469,87545294,87897496,87952176,88182115,88397189,88449855,88466016,88555901,88581048,88647760,88947173,89341454,89367065,89489630,89517156,89532758,89533661,89822106,90022073,90092189,90159065,90269661,90648830,90768149,90819294,90971658,91144622,91195481,91276221,91339973,91369944,91375301,91517390,91746195,91820375,91874573,92018872,92132765,92539061,92554938,93312665,93553694,93853694,94065861,94263501,94290398,94296212,94346512,94544669,94644173,94961643,94984430,95033176,95150436,95215491,95378909,95500373,95624798,95700894,95754638,96004458,96569979,96632575,96725573,96853419,96938621,97202181,97208955,97556141,97590333,97677657,97691573,97862608,98012808,98056061,98125494,98152430,98270501,98313422,98609118,98884683,98946198,98967275,99071812,99279638,99322948,99359268,99506328,99524268,99619373,99653679,99728441,99728730,99844013,...,294510593184096128256369084493242063323411158051426772529444657178342286797165895276595856636544361436715219300424417172590668031719440405607129379577215319439990417329164659002116773766421215473967509950952391694047917007601644516062698389886403140060280753670586368184561712080020791015612660588390267692994823853844790965695585474171104385578368950663203553160727608286342471884147867033372942098902914303638557357679372355879968867455770006079263809289425878589354065843398809004239801705479099824992442505135185234589139440856685524857194700346935683123849329130355692238509866080481886851695226812386909609530339458158530383934728712902755050690248706906109008876082197219557259666361746459926086296007682441558528092377866949955939514080389105074786822722697113767158305297644859038154012119978862691784285766127499005130630649202543016308391711705570799425445018991723130042644192796788781623379819089072554437739410485725105397520375645982271094671260180275529244084390221630145106188802243147806054807005408864898938348265215464004197273310309305374385566628984835959222442639613088232734786627698186912305912449379362782522242734597158754573732552478792459331363992486886686146141028315406030126629880604744998327235644206144445123186347362167256015416876246489744550741443819119732939444257714875031761281707249740255205636440509135524217767957227594514532906976448556066972054102776313762941373621244361143616058175881522881882362830368527159971311899588642622481802573729456011592826186632724770456148133912848271884978724488330837221920727845579072738324918949751535700495837822643038329020905074771914255967919638182051104563745098339259291446125570622081675521714167147208224484414243304890345389000460363575288655201966901646021356858561237326872585824473047099628976038415558675858514829364251332378101353731641486906852819948456826409836992834966250570107510322239380815771382943909267894818113890420547597683747925618912710446819883528866128670296413518057146769499949336452798713168049867971363032226048930390999047238382182142033797102132662221609468257815656600272863310895211202828495276931586055079999064114816087844790573018023708008938957736650190184326364256928886000062386395205052862392457523193540044458303413714569918286537771262284161749422386674983551772472566494117955187487075245663819001729040542663163179653605540004751902163017797132399115168320303724825357094367991660438842030987566567535354646980495698167310611600600086798060144406011216345500182067532}
15692  5773785578908182954205728301966191455138385729596037984041169180: {203827,219562,313660,344938,376392,423441,485491,595498,672907,720682,878024,908338,987777,1065628,1140187,1175925,1254320,1283218,1345642,1411110,1470442,1505184,1693332,1698547,1906738,2217898,2346691,2381384,2566108,2590762,2679057,2776978,2807491,2940508,3055845,3083107,3259568,3334762,3396658,3620001,3667014,3688444,3723691,3995085,4076458,4261424,4309525,4323178,4631218,4632104,4794102,5061802,5084491,5171430,5211117,5375153,5381192,5403045,5516192,5552938,5687121,5713987,5763248,5803627,5981842,6053841,6104242,6205716,6429091,6483654,6607147,6668668,6898282,7081138,7128485,7385578,7581307,7678790,7750378,8114602,8371784,8444513,8521948,8538802,8554182,8634091,8684085,8785821,9069691,9214548,9263024,9330187,9418257,9445162,9503491,9620445,9626002,9746482,9863624,9935491,10088445,10167658,10183550,10261808,10414565,10420902,10622947,10761008,10969700,11007658,11096577,11475787,11544534,11725162,11839708,12063590,12106134,12220260,12237187,12261778,12497478,12797098,12840392,12856498,13034944,13045613,13153258,13163640,13233545,13466901,13686418,13922962,14038588,14041216,14100202,14445441,14476308,14664312,14809095,14815147,14877950,14925418,14976093,15224467,15278122,15550627,15671000,15676661,15796368,15807944,15880254,16006881,16032025,16391218,16441627,16497351,16979165,17207698,17233700,17395077,17563027,17629875,17696757,17770914,17783937,17801491,17853540,18079018,18310762,18356277,18484402,18591691,18600082,18636590,18748867,18805200,19043776,19097661,19128988,19238430,19423245,19810858,19995907,20058880,20212882,20257685,20327602,20374998,20513217,20520992,20680440,20708425,20718128,20919091,21155850,21424248,21495124,21831907,21907507,21926962,22012444,22059136,22097578,22211242,22237229,22363908,22395230,22438378,22566240,22659547,22721938,22809091,23086116,23135997,23265495,23307894,23330227,23608245,23700307,23767793,23805244,23921192,24070656,24072645,24102279,24133738,24255950,24309222,24414898,24471082,24508147,24520348,24728421,24816528,24825441,24850110,24872467,24919978,24956965,25182128,25387020,25479658,25590844,25591402,25677488,25739491,25854573,25982002,26506784,26529734,26596147,26623700,26816362,26874276,26911341,26927338,27079488,27149098,27372307,27512491,27647122,27918594,28078588,28088722,28246445,28329894,28357133,28474282,28647957,28749202,28887174,28939550,29107140,29133418,29444827,29820132,29948358,29954098,30255691,30281362,30410193,30464424,30589885,30590491,30707320,30723907,30771178,30923491,31042738,31047616,31097002,31259698,31520645,31715347,31767470,31948440,32017042,32690587,32753357,32878738,33047301,33204091,33346565,33522322,33711868,33895734,33953990,33965707,34003498,34078336,34272477,34274397,34430122,34545735,34654747,34727460,34802578,34903147,34928568,34965067,35212027,35273587,35382389,35457148,35545138,35941995,36127867,36337258,36524973,36566085,36567201,36609691,36707862,36848784,36863338,36945237,36968362,37042624,37125778,37339841,37440178,37492522,37618267,37794091,37824774,37899620,37962898,38120964,38338128,38493992,38555065,38835427,39003824,39120547,39159082,39294639,39342025,39539969,39797491,39875885,39900837,39904228,40015878,40243858,40251045,40400965,40510190,40519147,40629091,40744788,40902691,41011627,41014378,41065987,41125875,41219242,41281877,41370445,41380904,41454882,41672952,41712691,42137962,42151413,42218157,42392242,42518333,42780801,42923227,42934448,43050844,43130394,43136765,43305741,43354858,43386547,43545601,43867600,43879302,43894507,43982425,44123261,44387445,44468774,44642947,44662762,44692267,44937787,44959577,44976584,45154529,45262762,45312658,45382100,45479544,45561898,45615667,45693992,46266078,46410824,46505362,46553517,46790510,46791067,46882071,47210430,47346608,47393842,47472508,47519707,47637950,47851062,47851937,48130282,48148444,48273691,48301254,48481158,48505700,48557864,48612228,48823228,48959375,48972045,49009258,49260667,49351050,49428427,49446802,49592362,49644534,49689322,49737778,49741813,49874781,49965691,49986344,50242517,50269738,50357792,50490787,50546270,50598657,50652417,50751658,50768491,50840668,50929525,51159091,51164487,51405741,51471538,51717045,51764118,52177747,52212177,52214467,52236848,52287691,52425778,52469491,52641120,52649491,52778910,52898467,52904285,53137258,53184562,53264934,53282587,53342630,54001245,54268138,54296753,54446827,54458520,54467065,54596242,54627597,54689842,54731947,54736618,54830122,54844444,54884269,55016938,55164848,55194187,55428758,55507708,55669387,55712973,55814107,55826445,55838908,56001693,56148612,56150528,56225002,56234637,56297504,56429491,56485670,56491221,56617987,56652516,56750467,56881147,56965550,57006040,57055018,57137107,57160828,57165540,57336691,57376402,57459091,57601328,57698491,57861787,57871700,57925522,57976267,58089088,58206840,58290322,58308907,58416187,58437427,58479691,58751250,58766454,58945027,58974110,59079091,59172691,59215304,59221260,59300707,59389987,59423722,59471085,59548208,59613691,59649202,59790844,59829298,60197827,60225691,60233578,60386827,60445468,60525427,60609091,60626504,60655524,60776491,60804341,60904498,60955987,60976576,60993682,61045627,61115430,61156277,61265835,61409947,61425244,61438642,61494691,61500667,61516867,61532491,61538107,61548691,61552147,61623950,61793458,62060454,62076988,62087296,62118353,62653845,62668000,62719978,63033230,63169344,63290002,63315854,63334692,63377458,63435824,63485142,63526820,63536097,63639442,63770218,64011156,64025308,64131795,64291882,64506470,64681618,64801494,64969437,65174241,65189792,65350224,65360478,65371282,65377245,65482695,65498342,65684957,65719945,66014122,66248264,66610858,66617217,66780778,66830768,66865642,66928348,66991734,67271941,67530232,67643445,67782804,67879018,67968485,68204817,68358660,68359910,68407248,68598648,69049642,69257362,69446040,69735728,69795562,69848208,69861638,69878122,69919378,70260861,70289962,70372138,70501500,70731237,70755734,70768932,70782058,70811085,71065512,71149618,71365302,71515882,71715045,71954102,71963877,71987174,72002218,72123442,72153008,72204178,72915904,72927922,73338516,73403213,73407538,73519002,73611388,73917992,73948740,74026745,74056493,74075776,74359858,74529297,74670134,74714602,74869948,75184614,75201600,75330437,75531824,75537298,75577550,75606965,75639876,75810844,75971511,76085438,76159378,76232184,76347375,76496048,76507498,76844233,76854322,76910309,76958154,77084818,77173479,77371041,77407764,77508417,77535469,77566790,77658538,77848978,77996188,78126795,78307228,78452694,78455698,78579234,78706101,78757522,78863934,78878656,79042413,79183940,79245802,79694122,79948701,79991722,80079933,80215040,80251282,80516513,80829992,80915122,80988562,81172134,81177645,81437200,81562182,81755818,81783957,82010002,82017244,82030392,82031892,82552042,82553198,82624042,82875538,83154029,83157741,83335248,83376178,83802802,84162268,84438418,84601800,84684202,84973302,85025798,85481121,85629782,85685788,85761207,85797802,85832338,85901362,86039218,86058054,86142442,86553898,86589488,86724658,86758762,86929042,87068037,87336082,87366110,87693221,88366664,88738488,88832094,88875058,89040298,89243841,89574965,89630733,89666517,89827882,89907662,90189381,90213148,90227397,90241920,90250642,90410024,90412522,90442275,90442565,90451220,90512668,90693060,90728358,90735082,90752600,90881301,90933741,91034085,91183978,91375402,91598002,91616850,91623565,91788178,92005948,92072362,92135338,92152100,92271925,92284191,92563581,92699242,93080148,93350578,93535378,93569060,93719602,93752154,94390162,94632082,94933042,95020728,95046868,95177025,95202538,95619178,95691638,96148828,96258048,96385845,96471760,96530578,96739264,96773873,96792298,97103024,97139242,97283122,97413174,97634369,97724640,97728137,97911442,98475922,98503978,98978482,99227818,99300365,99364348,99412497,99802340,99830799,99995242,...,441765889776144192384553626739863094985116737077140158794166985767513430195748842914893784954816542155072828950636625758886002047579160608410694069365822979159985625993746988503175160649631823210951264926428587541071875511402466774094047584829604710090421130505879552276842568120031186523418990882585401539492235780767186448543378211256656578367553425994805329741091412429513707826221800550059413148354371455457836036519058533819953301183655009118895713934138817884031098765098213506359702558218649737488663757702777851883709161285028287285792050520403524685773993695533538357764799120722830277542840218580364414295509187237795575902093069354132576035373060359163513314123295829335889499542619689889129444011523662337792138566800424933909271120583657612180234084045670650737457946467288557231018179968294037676428649191248507695945973803814524462587567558356199138167528487584695063966289195183172435069728633608831656609115728587658096280563468973406642006890270413293866126585332445217659283203364721709082210508113297348407522397823196006295909965463958061578349943477253938833663959419632349102179941547280368458868674069044173783364101895738131860598828718188688997045988730330029219211542473109045189944820907117497490853466309216667684779521043250884023125314369734616826112165728679599409166386572312547641922560874610382808454660763703286326651935841391771799360464672834100458081154164470644412060431866541715424087263822284322823544245552790739956967849382963933722703860594184017389239279949087155684222200869272407827468086732496255832881091768368609107487378424627303550743756733964557493531357612157871383951879457273076656845617647508888937169188355933122513282571250720812336726621364957335518083500690545362932982802950352469032035287841855990308878736709570649443464057623338013787772244046376998567152030597462230360279229922685239614755489252449375855161265483359071223657074415863901842227170835630821396525621888428369065670229825293299193005444620277085720154249924004679198069752074801957044548339073395586498570857573273213050695653198993332414202386723484900409294966342816804242742915397379082619998596172224131767185859527035562013408436604975285276489546385393329000093579592807579293588686284790310066687455120571854877429806656893426242624133580012475327658708849741176932781230612868495728502593560813994744769480408310007127853244526695698598672752480455587238035641551987490658263046481349851303031970470743547250965917400900130197090216609016824518250273101298}
15693  5799307489603805244570123903097414758747248118040884419650033042: {329343,392075,470490,501856,517407,564588,768271,893247,1081023,1097530,1317036,1332035,1362507,1567900,1598442,1881480,1896191,1924827,2006912,2018463,2083711,2116665,2205663,2257776,2539998,2647723,2852122,2860107,2976730,3207635,3326847,3572076,3675635,3728746,3849162,3868267,3886143,4053091,4074460,4165467,4410762,4480762,4610555,4708543,4826668,4889352,5002143,5042842,5094987,5326780,5500521,5532666,5790130,6114687,6306547,6392136,6484767,6546298,6726490,6895240,6922162,6946827,6948156,7054091,7191153,7204060,7325311,7524283,7582828,7592703,7713971,7757145,8071788,8105146,8274288,8277263,8329407,8335835,8630671,8644872,8972763,8979082,9111707,9156363,9213727,9308574,9415882,9725481,10003002,10347423,10432547,10464730,10621707,10652435,10672618,11078367,11235343,11405576,11518185,11578780,11625567,11714428,11799346,12171903,12286064,12329530,12385867,12487571,12557676,12611482,12733402,12782922,12808203,12827260,12831273,13451260,13677226,13712125,13821822,13831951,13894536,14167743,14439003,14619723,14738147,14795436,14799635,14811043,15046642,15251487,15275325,15392712,15631353,16022227,16050490,16141512,16293680,16454550,16487722,16511487,16663304,17238586,17310491,17316801,17548235,17551520,17587743,17759562,17955868,18095385,18128362,18159201,18330390,18392667,18425098,18746217,19195647,19260588,19284747,19301744,19352267,19552416,19588750,19650163,19729887,19745460,19759930,19867711,19968124,20529627,20820127,20884443,20931043,20960698,21057882,21061824,21150303,21173672,21342508,21382411,21542125,21638587,21714462,21996468,22034362,22316925,22388127,22408991,22467802,22917183,23193436,23506500,23595676,23694552,23711916,23804720,23820381,23911235,23959546,24475036,24586827,25064842,25073600,25463548,25537786,25651240,25811547,25850550,25897660,26656371,26780310,26868905,27114538,27118527,27166664,27350956,27466143,27515555,27573920,27726603,27900123,27954885,28082587,28207800,28320011,28565664,28693482,28810522,28857343,28857645,29501491,29716287,29756555,29818544,29901490,30038938,30088320,30319323,30491403,30562497,30650435,30781488,30847996,31020660,31077192,31456666,31477660,31733775,31894307,31988555,32094208,32096860,32136372,32242686,32412296,32890443,32971228,33018666,33088704,33100588,33133480,33146367,33254122,33279625,33316863,33545862,33592845,33657567,33682243,33849360,34082907,34128346,34472764,34629174,34961841,35098235,35552746,35707866,35832368,35881788,36105984,36166787,36200607,36208291,36383925,36463833,36622347,36706623,36780522,37224792,37275165,37379967,37503467,37567642,37773192,38080530,38162767,38197276,38219487,38384150,38386266,38387103,38516232,38721682,38809520,38953786,38973003,39295282,39329891,39354511,39703498,39760176,39794601,39931144,39935550,39982243,40224543,40311414,40391007,40546924,40599647,40609471,40619232,40723647,41428282,41470683,41877891,42089683,42091498,42117882,42133083,42139835,42488131,42494841,42597920,42711423,43123803,43330761,43409325,43660710,43700127,43738051,43793242,44063068,44122546,44321435,44730198,44894623,44922537,44931147,45194312,45356291,45422043,45607067,45696636,45699196,45707242,45997627,46060980,46156767,46303280,46564107,46571424,46645503,46889547,47157371,47374525,47524378,47604491,47651205,47922660,48025563,48037567,48082282,48117490,48269242,48370387,48699964,48721787,48754780,48756268,48943816,49131712,49260316,49318107,49679887,49880285,50283483,50401162,50433032,50567802,50827952,50843601,50930985,50960627,51005247,51117504,51284602,51349402,51645183,51726130,51813391,52091190,52104682,52203867,52392852,52701706,52981307,53048191,53185722,53201116,53280427,53317707,53354504,53668060,53813555,54281146,54326384,54505887,54834500,55030282,55061793,55196338,55273176,55295007,55357042,55452543,55506346,55563936,55688667,55841251,56160267,56201884,56220730,56238783,56290876,56727625,56737161,56849430,56944347,57041068,57068458,57117490,57181446,57507192,57740988,57967231,58013530,58476922,58505736,58586147,58738623,59088953,59183260,59340635,59522507,59856342,60023817,60185555,60365787,60632125,60639392,60697330,60765285,60937066,60959002,61018762,61029035,61117182,61169723,61187122,61353643,61521567,61662563,61688104,61688771,61828863,62071356,62182323,62482930,62509428,62947240,63059242,63133882,63206943,63550835,63588363,63801416,64396691,64401672,64454687,64576266,64641544,64678243,64695591,64816304,65032287,65296060,65465887,65801400,65818953,66046747,66090346,66192712,66499708,66703161,66810346,66934042,66994143,67348762,67464876,67536556,67894143,67968987,68073150,68219316,68342847,68540988,68555555,68911523,68956060,69018824,69284227,69384635,69399117,69556747,69616236,69758043,69798635,69844351,70108163,70185765,70188160,70347167,70371880,70726243,70815645,71019912,71090763,71208762,71257550,71401306,71451035,71456925,71776593,72001660,72195423,72222666,72339625,72451881,72606991,72611360,72721737,72758550,72836796,72840667,72918342,72928882,73058323,73234842,73354067,73513887,74019130,74026575,74170203,74223643,74283964,74388543,74435260,74466801,74533983,74606667,74668924,74738555,74864816,74979516,75051971,75235787,75321628,75404607,75536688,75556835,75765802,75783130,75819405,76127487,76153247,76220720,76261002,76315738,76622723,76781555,77207307,77320831,77363098,77596235,77609120,77646177,77842138,78012826,78335000,78355272,78392591,78638667,78961680,79108771,79168365,79294780,79408525,79705887,79776843,79897401,80013945,80031635,80627903,80874032,81195907,81402207,81487240,81687780,81857578,81873082,81894363,82034763,82104927,82245183,82266666,82525407,82747272,82757407,82769651,82810330,83143137,83261562,83512507,83538460,83660435,83758362,84168562,84222918,84225792,84337503,84412790,84446256,84646856,84714796,84728505,84851962,84953627,84965146,84978774,85348208,85448325,85509060,85582527,85613002,85704947,85741242,85748310,85961962,86064603,86401992,86625916,86807550,86887691,86888283,86898988,86980387,87133632,87147304,87169660,87310260,87435483,88126875,88149681,88362971,88461165,88822956,88831890,89135583,89154751,89322312,89352922,89473803,89624947,89686266,89743947,89777722,89960122,90191260,90350367,90377072,90425771,90668202,90790522,90939756,90983286,91106243,91144880,91191802,91209664,91351867,91356747,91464864,91490523,91591123,91673145,92014235,92137866,92157963,92397490,92435925,92594720,92690187,92709247,92949466,92991203,93090681,93115482,93130944,93438283,93587435,93681148,93831871,94002000,94079967,94308316,94358576,94414780,94524682,94549845,94754016,94763555,94935003,94973781,94996111,95002038,95066187,95153736,95227713,95285987,95290230,95343922,95459163,95620060,95655327,95937946,95951836,96016734,96037962,96186883,96437823,96759705,97022427,97202241,97422346,97430458,97495235,97784688,97884035,98021951,98025336,98040717,98056923,98247513,98598320,98979925,99021183,99372396,99381887,99488746,99916287,...,662648834664216288576830440109794642477675105615710238191250478651270145293623264372340677432224813232609243425954938638329003071368740912616041104048734468739978438990620482754762740974447734816426897389642881311607813267103700161141071377244407065135631695758819328415263852180046779785128486323878102309238353671150779672815067316884984867551330138992207994611637118644270561739332700825089119722531557183186754054778587800729929951775482513678343570901208226826046648147647320259539553837327974606232995636554166777825563741927542430928688075780605287028660990543300307536647198681084245416314260327870546621443263780856693363853139604031198864053059590538745269971184943744003834249313929534833694166017285493506688207850200637400863906680875486418270351126068505976106186919700932835846527269952441056514642973786872761543918960705721786693881351337534298707251292731377042595949433792774758652604592950413247484913673592881487144420845203460109963010335405619940799189877998667826488924805047082563623315762169946022611283596734794009443864948195937092367524915215880908250495939129448523653269912320920552688303011103566260675046152843607197790898243077283033495568983095495043828817313709663567784917231360676246236280199463825001527169281564876326034687971554601925239168248593019399113749579858468821462883841311915574212681991145554929489977903762087657699040697009251150687121731246705966618090647799812573136130895733426484235316368329186109935451774074445900584055790891276026083858919923630733526333301303908611741202130098744383749321637652552913661231067636940955326115635100946836240297036418236807075927819185909614985268426471263333405753782533899683769923856876081218505089932047436003277125251035818044399474204425528703548052931762783985463318105064355974165196086435007020681658366069565497850728045896193345540418844884027859422133233878674063782741898225038606835485611623795852763340756253446232094788432832642553598505344737939948789508166930415628580231374886007018797104628112202935566822508610093379747856286359909819576043479798489998621303580085227350613942449514225206364114373096068623929997894258336197650778789290553343020112654907462927914734319578089993500140369389211368940383029427185465100031182680857782316144709985340139363936200370018712991488063274611765399171845919302743592753890341220992117154220612465010691779866790043547898009128720683380857053462327981235987394569722024776954547955706115320876448876101350195295635324913525236777375409651947}
15694  5824941327467630292774331684727485545657798023493525507471309499: {172513,360433,407654,439124,627320,689876,705735,735409,752784,828973,846882,970982,1190996,1345814,1441364,1646295,1756048,1760653,1816676,1959875,1975554,2131256,2280374,2351850,2397663,2508640,2566436,2593009,2691284,2822220,2940884,3010368,3052909,3386664,3397094,3511009,3602413,3809997,3813476,3876193,4278183,4331053,4435796,4465095,4512493,4693382,4762768,4784113,4874509,5093075,5132216,5181524,5358114,5553956,5593119,5614982,5773743,5881016,6033335,6111690,6166214,6519136,6578353,6616143,6658475,6669524,6721143,6793316,7022413,7111009,7240002,7334028,7376888,7447382,7564263,7905133,7990170,8152916,8298999,8431309,8518753,8522848,8619050,8646356,8685195,8867809,8954893,9005075,9262436,9264208,9302509,9478535,9588204,9648973,9819447,9979879,10089735,10123604,10166509,10168982,10342860,10383243,10422234,10750306,10762384,10806090,11032384,11105876,11108593,11374242,11427974,11526496,11607254,11872909,11963684,12107682,12157719,12208484,12295009,12411432,12799153,12858182,12967308,13050253,13214294,13337336,13467313,13468623,13796564,13882573,13962861,13965409,14048173,14123823,14162276,14256970,14296033,14378509,14473475,14580391,14643035,14771156,15004503,15162614,15357580,15500756,15525613,15697095,16008927,16034075,16093873,16229204,16738993,16743568,16814075,16889026,17043896,17077604,17108364,17268182,17368170,17571642,17699019,18139382,18429096,18489313,18494295,18526048,18526963,18660374,18803809,18836514,18890324,18917223,19006982,19100103,19174383,19240890,19252004,19492964,19585009,19662733,19727248,19870982,20176890,20335316,20367100,20515839,20523616,20666593,20732733,20829130,20841804,20844791,21125809,21245894,21522016,21939400,22015316,22193154,22444835,22569963,22637809,22712653,22951574,23011309,23089068,23450324,23679416,23752909,23770831,24075735,24127180,24212268,24440520,24474374,24523556,24681825,24731583,24851809,24960155,24994956,25142113,25594196,25680784,25712996,25857879,26069888,26091226,26306516,26327280,26363053,26467090,26576353,26639343,26678135,26933802,27071533,27192543,27352909,27372836,27423073,27495585,27637647,27845924,28077176,28082432,28200404,28328653,28360759,28890882,28952616,28991795,29016973,29328624,29383125,29494595,29618190,29630294,29639895,29755900,29765809,29850836,29952186,30103309,30170593,30448934,30505933,30556244,30593795,30772909,31101254,31342000,31353322,31435309,31441047,31586823,31592736,31615888,31698253,31760508,31829435,32013762,32064050,32372075,32571693,32738509,32782436,32883254,32994702,33051543,33315553,33442993,33701703,33949873,33958330,34188695,34415396,34467400,34639309,34790154,34939751,34949809,35011693,35126054,35196913,35259750,35393514,35504173,35541828,35567874,35602982,35626573,35707080,35870509,35939319,36113293,36158036,36621524,36712554,36968804,37132273,37183382,37200164,37273180,37497734,37597263,37610400,38087552,38195322,38257976,38304433,38306679,38476860,38477773,38559995,38775825,38846490,38879713,39347075,39545023,39621716,39673009,39897073,39991814,40008673,40117760,40121075,40170465,40175533,40425764,40507309,40515370,40655204,40671807,40749996,41026434,41041984,41214035,41325409,41360880,41375735,41416850,41436256,41540833,41838182,41915053,42311700,42391009,42600673,42825839,42848496,42964813,42990248,43040223,43090955,43215783,43376653,43478893,43551167,43663814,43733233,43815014,43853924,44024888,44118272,44128903,44195156,44422484,44474458,44727816,44790460,44852235,44876756,44880013,44929009,45058407,45132480,45172909,45319094,45443876,45618182,45703153,45846253,46083313,46130509,46172232,46271994,46530990,46615788,46660454,46685191,46875853,47184999,47216490,47332333,47400614,47535586,47610488,47746595,47842384,48141312,48145290,48204558,48267476,48354913,48364029,48511900,48618444,48787633,48829796,48873313,48942164,49016294,49040696,49456842,49506733,49527999,49633056,49650882,49700220,49744934,49748171,49837933,49839956,49881183,49913930,50042593,50245453,50248939,50318793,50364256,50486509,50526433,50683655,50774040,50959316,51181688,51182804,51192519,51271309,51354976,51462983,51478982,51615073,51709146,51803533,51943761,51964004,53013568,53059468,53192294,53247400,53329119,53487073,53561799,53632724,53748552,53822682,53854676,53924653,53957809,53977091,54158976,54298196,54731953,54744614,54763309,54888013,54891287,55024982,55078835,55103473,55170783,55294244,55345393,55494253,55553293,55593791,55786573,55826239,55837188,55930033,55986913,56071693,56157176,56177444,56211553,56351463,56485873,56492890,56561351,56659788,56714266,56779309,56948564,57120795,57123995,57295914,57413809,57498404,57559393,57576225,57579399,57631213,57774348,57796273,57879100,57889009,57918623,58082523,58214280,58266836,58430679,58669391,58671793,58773133,58785779,58852909,58872673,58889654,58931533,58942923,59047309,59066353,59234509,59252833,59343373,59555247,59640264,59687533,59736673,59817133,59896716,59903325,59908196,60149773,60391471,60396013,60467121,60511382,60535009,60547213,60562724,60595309,60607153,60699313,60765409,60820386,60859693,60874955,60879853,60928848,60943475,60945335,61048333,61090993,61147693,61179770,61180982,61215409,61283809,61309153,61414640,61418593,61423309,61447814,61470433,61485409,61502509,61505713,61517809,61542356,61567309,61572493,61574509,61575373,61575395,61846982,62085476,62095232,62142423,62194004,62519396,63041290,63137247,63176823,63430694,63534940,63896880,64034084,64863227,65381174,65491065,65506714,65689863,65757476,66094602,66183819,66408182,66501395,66693130,67044644,67085075,67095297,67280543,67423736,67791468,67907980,67931414,68006996,68156672,68543125,68544954,68548794,68560863,68860244,69091470,69309494,69454920,69605156,69806294,69857136,69930134,70252355,70363595,70424054,70547174,70764778,70914296,71090276,71286567,71301335,71883990,72123423,72176235,72255734,72403863,72674516,73049946,73132170,73134402,73219382,73412599,73415724,73697568,73726676,73890474,73936724,73979075,74065999,74085248,74251556,74679682,74880356,74985044,75186287,75236534,75588182,75601743,75649548,75799240,75851703,75925796,76241928,76253891,76676256,76854059,76926903,76987984,77024103,77110130,77589195,77670854,78007648,78136785,78157023,78241094,78318164,78589278,78684050,79052559,79079938,79503203,79594982,79751770,79778583,79801674,79808456,80031756,80487716,80502090,80801930,81020380,81038294,81258182,81317687,81421719,81489576,81620075,81805382,82023254,82028756,82131974,82251750,82438484,82545423,82563754,82740890,82761808,82794507,82909764,83035563,83124635,83259519,83345904,83425382,84275924,84302826,84331095,84420695,84436314,84784484,85036666,85274145,85561602,85602687,85676235,85772169,85846454,85868896,85884731,86101688,86195075,86260788,86273530,86611482,86709716,86773094,87020295,87091202,87715383,87735200,87758604,87789014,87964850,88246522,88774890,88937548,89285894,89325524,89384534,89784513,89875574,89919154,89953168,90002075,90309058,90525524,90625316,90764200,90959088,91045995,91123796,91231334,91387984,91405599,91438503,91528143,91632827,91675773,91780683,92007923,92532156,92821648,92854955,93010724,93044075,93107034,93336155,93581020,93582134,93724395,93764142,94152035,94420860,94588863,94693216,94700823,94787684,94945016,95039414,95155879,95275900,95702124,95703874,96260564,96296888,96547382,96602508,96864399,96962316,97011400,97115728,97224456,97646456,97918750,97944090,98018516,98521334,98702100,98856854,98893604,99118475,99135519,99184724,99289068,99378644,99475556,99483626,99749562,99931382,99972688,...,883531779552288384769107253479726189970233474154280317588333971535026860391497685829787569909633084310145657901273251517772004095158321216821388138731645958319971251987493977006350321299263646421902529852857175082143751022804933548188095169659209420180842261011759104553685136240062373046837981765170803078984471561534372897086756422513313156735106851989610659482182824859027415652443601100118826296708742910915672073038117067639906602367310018237791427868277635768062197530196427012719405116437299474977327515405555703767418322570056574571584101040807049371547987391067076715529598241445660555085680437160728828591018374475591151804186138708265152070746120718327026628246591658671778999085239379778258888023047324675584277133600849867818542241167315224360468168091341301474915892934577114462036359936588075352857298382497015391891947607629048925175135116712398276335056975169390127932578390366344870139457267217663313218231457175316192561126937946813284013780540826587732253170664890435318566406729443418164421016226594696815044795646392012591819930927916123156699886954507877667327918839264698204359883094560736917737348138088347566728203791476263721197657436377377994091977460660058438423084946218090379889641814234994981706932618433335369559042086501768046250628739469233652224331457359198818332773144625095283845121749220765616909321527406572653303871682783543598720929345668200916162308328941288824120863733083430848174527644568645647088491105581479913935698765927867445407721188368034778478559898174311368444401738544815654936173464992511665762183536737218214974756849254607101487513467929114987062715224315742767903758914546153313691235295017777874338376711866245026565142501441624673453242729914671036167001381090725865965605900704938064070575683711980617757473419141298886928115246676027575544488092753997134304061194924460720558459845370479229510978504898751710322530966718142447314148831727803684454341671261642793051243776856738131340459650586598386010889240554171440308499848009358396139504149603914089096678146791172997141715146546426101391306397986664828404773446969800818589932685633608485485830794758165239997192344448263534371719054071124026816873209950570552979092770786658000187159185615158587177372569580620133374910241143709754859613313786852485248267160024950655317417699482353865562461225736991457005187121627989489538960816620014255706489053391397197345504960911174476071283103974981316526092962699702606063940941487094501931834801800260394180433218033649036500546202596}
15695  5850687579493984335853932452885579563161735963586170423145958673: {548905,611481,658686,784150,862345,940980,1003712,1034814,1129176,1270323,1456473,1488745,1536542,1786494,1801705,1864849,2018721,2162046,2195060,2240953,2270845,2634072,2664070,2725014,2929729,2963331,3135800,3196884,3208045,3364105,3420561,3527775,3676105,3762960,3792382,3849654,3962233,4013824,4036926,4167422,4233330,4411326,4490689,4515552,4526029,4766845,5079996,5095641,5145889,5295446,5544745,5704244,5720214,5953460,6368329,6415270,6454777,6476905,6653694,6942445,7040073,7054993,7144152,7351270,7398193,7457492,7698324,7714957,7736534,7772286,8037171,8106182,8148920,8245969,8278321,8330934,8336653,8336905,8422473,8491645,8621497,8821524,8961524,9167535,9221110,9249321,9417086,9653336,9778704,9838189,10004286,10085684,10189974,10191145,10433881,10653560,10768381,10807945,10860003,11001042,11065332,11152033,11171073,11578045,11580260,11670169,11985255,12229374,12613094,12654505,12784272,12928575,12969534,13092596,13452980,13790480,13844324,13882345,13893654,13896312,13956697,14108182,14243713,14382306,14408120,14650622,14913409,14954605,15048566,15165656,15185406,15253473,15260605,15427942,15457081,15514290,15633351,15665857,16125459,16143576,16209135,16210292,16548576,16554526,16658814,16671670,16769917,17061363,17141961,17245705,17261342,17289744,17312713,17410881,17653273,17702845,17945526,17958164,18161523,18223414,18312726,18427454,18463945,18617148,18831764,18837649,19039561,19196975,19287273,19375945,19450962,19821441,20006004,20286505,20457853,20694846,20719489,20865094,20929460,21243414,21288697,21304870,21345236,21347005,21385455,22156734,22470686,22743921,22811152,22870861,23036370,23157560,23251134,23428856,23598692,23612905,24065005,24343806,24366205,24567529,24572128,24659060,24771734,24975142,25115352,25222964,25333539,25419145,25458875,25466804,25476433,25565844,25616406,25654520,25662546,25693069,25902273,26052255,26357463,26483353,26703577,26815129,26902520,27209073,27354452,27424250,27519145,27643644,27663902,27789072,27990561,28254771,28335486,28510473,28849357,28861335,28878006,29239446,29312905,29476294,29517433,29590872,29599270,29622086,29806473,30074689,30093284,30158975,30265335,30502974,30550650,30654445,30785424,31243695,31262706,31651777,31868841,31898401,31992745,32044454,32100980,32141245,32283024,32550793,32587360,32883145,32909100,32975444,33022974,33289731,33326608,33475729,33574609,33900973,34216045,34427361,34462609,34477172,34620982,34633602,34807405,35096470,35103040,35175486,35250505,35519124,35911736,35912833,36190770,36194989,36256724,36318402,36660780,36711561,36785334,36850196,36882961,37194875,37313545,37492434,37508281,37616467,37925833,38195305,38391294,38521176,38521777,38569494,38603488,38704534,39104832,39136839,39177500,39300326,39459774,39490920,39519860,39600913,39700635,39735422,39857809,39936248,40089913,40400703,40437841,40939393,40978045,41059254,41640254,41659177,41768886,41862086,41921396,42115764,42123648,42300606,42347344,42685016,42764822,42910609,43019245,43084250,43277174,43336323,43428924,43612129,43795597,43956937,43992936,44035729,44068724,44427285,44445441,44633850,44776254,44783977,44817982,44928279,44935604,45197545,45362113,45673401,45776905,45834366,45946153,46211005,46386872,46500205,46591475,46633933,46651881,46825033,47013000,47029983,47191352,47389104,47423832,47568793,47609440,47640762,47684269,47822470,47919092,47943313,47981401,48020643,48096075,48279577,48728041,48950072,49064569,49137529,49173654,49324881,49492053,49527145,49605193,50129684,50147200,50373373,50532205,50819005,50927096,50937495,51075572,51268717,51302480,51623094,51701100,51795320,51928129,52185231,52591033,52689081,52705297,52889625,53090271,53312742,53351811,53404473,53560620,53737810,53899261,54229076,54237054,54333328,54475153,54701912,54817405,54932286,55031110,55068831,55147840,55243945,55453206,55480129,55528105,55565761,55775073,55800246,55909770,55988075,56095945,56165174,56246601,56259853,56415600,56640022,56804845,57131328,57292983,57386964,57621044,57714686,57715290,57807697,58269735,58995769,59002982,59432574,59513110,59530273,59625409,59637088,59802980,59987721,60077876,60176640,60236461,60334345,60638646,60639875,60773055,60982806,61037245,61124994,61177705,61300870,61539651,61544257,61562976,61566409,61695992,62041320,62050009,62125275,62154384,62299945,62589337,62728657,62757273,62913332,62955320,63467550,63699145,63784681,63788614,63977110,63978505,64188416,64193720,64272744,64485372,64824592,64955005,65083297,65495721,65671873,65722521,65780886,65827009,65942456,65943169,66037332,66177408,66201176,66266960,66292734,66324335,66508244,66559250,66633726,66711687,66758329,67040905,67091724,67185690,67315134,67318345,67364486,67537993,67698720,67872745,67978641,68165814,68256692,68366161,68427273,68444041,68945528,69117805,69258348,69407991,69796485,69832399,69923682,69990681,70196470,70221805,70344781,70682953,70819921,70824735,70897009,71100921,71105492,71185705,71303379,71415732,71664736,71763576,71873005,72001453,72211968,72217935,72306837,72333574,72348875,72401214,72416582,72523309,72767850,72833545,72927666,73244694,73413246,73524441,73561044,74185263,74269393,74449584,74476323,74550330,74617401,74759934,74870895,74885245,75006934,75032233,75135284,75259369,75338977,75546384,75703405,76161060,76173721,76325534,76394552,76438974,76546129,76768300,76772532,76774206,76927945,77018761,77032464,77218473,77443364,77563719,77606845,77619040,77728381,77742505,77907572,77946006,78149245,78155689,78169729,78590564,78659782,78709022,78734713,79406996,79418675,79520352,79589202,79788441,79862288,79871100,79964486,80042605,80227969,80449086,80600833,80622828,80734023,80782014,80849089,81093848,81199294,81218942,81238464,81338281,81447294,82057393,82116921,82196845,82537473,82737601,82780429,82856564,82941366,83076889,83137561,83190973,83755782,83805805,84179366,84182996,84235764,84259777,84266166,84279670,84739335,84884975,84976262,84989682,85008745,85071399,85195840,85422846,85440649,85637161,85943871,86075305,86247606,86602381,86661522,86818650,87006445,87221233,87321420,87400254,87476102,87586484,88126136,88245092,88334481,88642870,88862845,88915021,88971169,89260057,89460396,89789246,89845074,89862294,90388624,90437569,90712582,90767073,90843145,90844086,90946957,91079329,91214134,91230579,91393272,91398392,91414484,91583113,91615633,91769655,91771473,91995254,92121960,92158345,92171721,92313534,92420905,92507257,92606560,92770473,92814445,93128214,93142848,93291006,93491857,93600445,93644353,93731305,93779094,94314742,94456969,94561935,94749050,94907245,95048756,95146041,95208982,95302410,95845320,95884129,95977777,95994433,96051126,96075134,96164564,96234980,96538484,96740774,97138489,97399928,97443574,97509560,97512536,97718089,97887632,97897705,98071761,98260071,98263424,98438593,98520632,98571457,98636214,99141903,99359774,99472033,99612273,99713713,99754189,99760570,99854137,99869881,99875329,...,1325297669328432577153660880219589284955350211231420476382500957302540290587246528744681354864449626465218486851909877276658006142737481825232082208097468937479956877981240965509525481948895469632853794779285762623215626534207400322282142754488814130271263391517638656830527704360093559570256972647756204618476707342301559345630134633769969735102660277984415989223274237288541123478665401650178239445063114366373508109557175601459859903550965027356687141802416453652093296295294640519079107674655949212465991273108333555651127483855084861857376151561210574057321981086600615073294397362168490832628520655741093242886527561713386727706279208062397728106119181077490539942369887488007668498627859069667388332034570987013376415700401274801727813361750972836540702252137011952212373839401865671693054539904882113029285947573745523087837921411443573387762702675068597414502585462754085191898867585549517305209185900826494969827347185762974288841690406920219926020670811239881598379755997335652977849610094165127246631524339892045222567193469588018887729896391874184735049830431761816500991878258897047306539824641841105376606022207132521350092305687214395581796486154566066991137966190990087657634627419327135569834462721352492472560398927650003054338563129752652069375943109203850478336497186038798227499159716937642925767682623831148425363982291109858979955807524175315398081394018502301374243462493411933236181295599625146272261791466852968470632736658372219870903548148891801168111581782552052167717839847261467052666602607817223482404260197488767498643275305105827322462135273881910652231270201893672480594072836473614151855638371819229970536852942526666811507565067799367539847713752162437010179864094872006554250502071636088798948408851057407096105863525567970926636210128711948330392172870014041363316732139130995701456091792386691080837689768055718844266467757348127565483796450077213670971223247591705526681512506892464189576865665285107197010689475879897579016333860831257160462749772014037594209256224405871133645017220186759495712572719819639152086959596979997242607160170454701227884899028450412728228746192137247859995788516672395301557578581106686040225309814925855829468639156179987000280738778422737880766058854370930200062365361715564632289419970680278727872400740037425982976126549223530798343691838605487185507780682441984234308441224930021383559733580087095796018257441366761714106924655962471974789139444049553909095911412230641752897752202700390591270649827050473554750819303894}
15696  5876546734779397197942423122359171182285917727632184312202217103: {203879,266543,345026,454343,720866,735503,815308,829079,878248,988029,1047143,1176225,1254640,1379752,1389023,1411470,1470818,1505568,1552221,1657946,1693764,1760879,1941964,1977263,2131583,2304813,2381992,2679741,2691628,2743825,2882728,3083903,3243069,3292590,3450479,3512096,3521306,3541943,3633352,3919750,3951108,3967823,3996105,4087521,4149863,4262512,4361879,4560748,4703700,4795326,4814879,5017280,5132872,5175983,5186018,5326103,5382568,5625743,5644440,5688573,5774481,5864879,5881768,5954423,6020736,6055389,6073703,6105818,6251133,6252383,6349995,6401063,6608879,6616989,6773328,6794188,7022018,7052879,7130305,7204826,7288943,7441825,7619994,7626952,7642079,7730183,7752386,7935479,7943169,8286503,8432423,8446669,8556366,8580321,8662106,8871592,8930190,9024986,9245879,9321865,9332663,9386764,9525536,9568226,9622905,9679079,9749018,9980541,10186150,10253879,10264432,10363048,10716228,10882463,11026905,11053223,11107912,11186238,11201905,11229964,11308823,11535479,11547486,11604801,11658429,11762032,12043583,12066670,12159273,12223380,12296663,12324743,12332428,12496401,12607105,12661079,13038272,13079879,13156706,13232286,13269949,13316950,13339048,13442286,13586632,13718543,13829183,13831665,14044826,14125629,14222018,14462879,14475325,14480004,14654903,14668056,14753776,14873879,14894764,15006429,15128526,15228623,15284961,15554879,15636263,15810266,15980340,16096079,16305832,16365745,16501563,16597998,16768079,16816225,16862618,16901879,17037506,17045696,17238100,17292712,17302079,17305405,17370390,17620943,17735618,17909786,18010150,18044303,18176183,18344061,18413063,18524872,18528416,18570623,18605018,18806423,18919641,18957070,19067663,19176408,19297946,19454301,19638894,19665479,19959758,20179470,20247208,20262865,20333018,20337964,20500249,20618303,20685720,20695079,20766486,20840481,20844468,21154223,21162273,21281303,21500612,21524768,21573459,21585479,21612180,21838079,21964079,21975933,22064768,22211752,22217186,22447705,22572849,22665983,22715879,22748484,22778109,22855948,23052992,23141913,23214508,23271435,23336879,23386343,23539705,23745818,23756303,23780903,23927368,24197879,24215364,24315438,24416968,24590018,24634753,24806879,24822864,24831789,24879623,24988221,25007505,25290479,25598306,25716364,25818743,25892013,25934616,26081423,26100506,26161825,26295623,26428588,26603879,26674672,26681545,26918289,26934626,26937246,27075479,27239783,27335121,27380303,27427079,27469089,27590543,27593128,27641181,27707063,27765146,27925722,27930818,28096346,28124879,28194263,28247646,28324552,28355879,28513940,28540103,28592066,28757018,28884143,28946950,29044079,29160782,29176443,29286070,29498365,29542312,30009006,30130223,30325228,30715160,30777503,30823825,31001512,31042269,31051226,31297641,31394190,31422769,31440023,31528705,31724879,31833505,31865121,31899503,31957305,32017854,32068150,32187746,32312183,32420303,32458408,32635943,32743463,33235101,33477986,33487136,33511703,33628150,33706029,33778052,33976079,34087792,34155208,34193065,34216728,34394879,34536364,34540703,34554555,34665383,34706879,34736340,34876701,34944217,34955183,34975823,35017079,35143284,35222879,35386943,35398038,35876063,35997623,36078503,36139079,36278764,36515709,36541079,36858192,36978626,36979583,36988590,37052096,37053926,37078703,37157601,37320748,37349389,37462713,37492823,37607618,37616605,37630079,37669223,37673028,37780648,37834446,38013964,38078303,38200206,38348766,38424609,38445383,38481780,38493819,38504008,38560703,38885879,38985928,39170018,39227663,39325466,39454496,39698063,39741964,40070783,40126225,40144943,40353780,40532183,40588513,40670632,40734200,41031678,41047232,41079263,41115479,41136375,41219305,41292433,41333186,41465466,41495853,41565479,41658260,41683608,41689582,41868623,42098879,42251618,42310223,42415463,42491788,42503229,42677303,42831313,42971879,43023623,43044032,43092503,43096465,43317009,43400879,43740479,43859169,43878800,44030632,44043383,44214441,44386308,44398905,44433129,44459783,44561209,44608463,44889670,44952863,45139926,45148079,45275618,45320905,45425306,45470879,45710879,45754461,45825975,45903148,45917423,46022618,46059623,46062745,46138343,46154063,46178136,46837823,46894059,46900648,46929863,47358832,47385743,47505818,47536103,47541662,47864173,48066681,48114863,48151470,48254360,48424536,48493943,48667079,48710183,48810479,48881040,48948748,48971875,48981503,49047112,49193663,49363650,49399825,49463166,49534461,49681703,49703618,49764383,49860479,49920310,49989912,50092223,50267879,50284226,50508863,50535479,50694503,50930879,51061079,51188392,51280583,51293423,51357503,51361568,51425992,51469561,51700079,51715758,51825479,51931473,51950403,52049183,52139776,52182452,52221383,52258079,52379879,52401745,52613032,52644705,52654560,52726106,52763229,52934180,53152079,53152706,53233223,53278686,53290943,53325479,53356270,53405783,53531183,53700623,53867604,53983993,54034103,54078023,54143066,54286155,54385086,54403343,54477603,54563303,54626783,54705818,54745672,54752879,54773783,54846146,54991170,55083503,55085905,55178001,55275294,55564079,55600897,55632623,55691848,55778183,55807079,55835903,56092079,56154352,56164864,56166863,56169505,56204063,56238651,56342423,56369879,56400808,56657306,56721518,56790623,56799383,56929823,57449879,57555023,57586941,57627023,57666743,57699649,57714143,57781764,57854241,57900863,57905232,57926029,57983590,58000079,58033946,58056801,58201823,58347503,58369079,58419143,58440479,58657248,58676893,58751879,58766250,58793293,58871903,58930943,58950489,58969943,58989190,59059823,59078879,59123063,59189661,59191703,59236380,59260588,59279790,59356079,59373983,59415479,59511800,59531618,59603133,59689463,59701672,59898865,59904372,59939879,59955263,60124583,60163079,60206618,60247823,60327337,60341186,60347879,60413879,60499079,60552743,60560879,60609023,60724343,60782903,60800783,60819889,60832463,60842879,60866903,60897868,60903863,60917063,60984263,61011866,61112488,61116383,61187590,61207943,61237079,61298423,61300583,61325879,61418879,61439783,61453463,61460783,61481543,61489343,61501703,61515479,61531079,61533023,61545818,61549079,61565183,61570079,61583183,61587623,61588881,61590143,61590479,61590743,62134237,62202508,62460381,62653329,62662105,62684000,62706644,62793129,62870618,62882094,63173646,63185472,63231776,63396506,63450909,63521016,63658870,63844465,64027524,64128100,64147233,64626375,64744150,64871521,64915761,65143386,65477018,65564872,65701753,65766508,65989404,66103086,66631106,66845233,66885986,66950775,67164381,67226973,67403406,67786345,67899746,67916660,68377390,68751549,68830792,68934800,69278618,69336553,69580308,69879502,69899618,70023386,70252108,70393826,70519500,70787028,70957117,71008346,71083656,71135748,71205964,71253146,71414160,71461143,71733705,71741018,71878638,72026305,72226586,72316072,73243048,73425108,73760481,73937608,74264546,74366764,74400328,74546360,74753725,74995468,75097345,75194526,75195901,75220800,76175104,76390644,76515952,76608866,76613358,76656541,76953720,76955546,77110369,77119990,77434641,77551650,77692980,77759426,78641665,78694150,79090046,79243432,79346018,79513369,79794146,79969113,79973593,79983628,80017346,80235520,80242150,80340930,80351066,80606715,80851528,81014618,81030740,81310408,81343614,81355581,81499992,82052868,82083968,82398429,82428070,82546665,82650818,82721760,82751470,82833700,82872512,83081666,83135305,83179809,83676364,83700369,83830106,83864655,84247761,84623400,84782018,84960033,85201346,85224937,85320865,85323469,85651678,85696992,85895713,85929626,85980496,86080446,86181910,86205553,86431566,86572029,86572935,86753306,86957786,87102334,87327628,87466466,87630028,87707848,88049776,88236544,88257806,88390312,88504473,88844968,88856521,88881865,88948916,89148861,89269665,89455632,89580920,89704470,89753512,89760026,89858018,90116814,90264960,90345818,90638188,90887752,90957969,91236364,91406306,91474209,91687491,91692506,91951305,92166626,92261018,92344464,92543988,93061980,93101953,93231576,93320908,93370382,93751706,93919105,94369998,94432980,94664666,94801228,95071172,95201325,95220976,95493190,95682921,95684768,95960375,95965665,95988817,96102721,96282624,96290580,96409116,96534952,96709826,96728058,96804205,97023800,97236888,97384465,97575266,97659592,97746626,97884328,98032588,98081392,98238205,98353297,98509033,98671329,98913684,99013466,99055998,99258745,99266112,99301764,99400440,99439101,99489868,99496342,99675866,99679912,99762366,99821869,99827860,99838875,99950589,...,1987946503992648865730491320329383927433025316847130714573751435953810435880869793117022032296674439697827730277864815914987009214106222737848123312146203406219935316971861448264288222923343204449280692168928643934823439801311100483423214131733221195406895087276457985245791556540140339355385458971634306927715061013452339018445201950654954602653990416976623983834911355932811685217998102475267359167594671549560262164335763402189789855326447541035030712703624680478139944442941960778618661511983923818698986909662500333476691225782627292786064227341815861085982971629900922609941596043252736248942780983611639864329791342570080091559418812093596592159178771616235809913554831232011502747941788604501082498051856480520064623550601912202591720042626459254811053378205517928318560759102798507539581809857323169543928921360618284631756882117165360081644054012602896121753878194131127787848301378324275957813778851239742454741020778644461433262535610380329889031006216859822397569633996003479466774415141247690869947286509838067833850790204382028331594844587811277102574745647642724751487817388345570959809736962761658064909033310698782025138458530821593372694729231849100486706949286485131486451941128990703354751694082028738708840598391475004581507844694628978104063914663805775717504745779058197341248739575406464388651523935746722638045973436664788469933711286262973097122091027753452061365193740117899854271943399437719408392687200279452705949104987558329806355322223337701752167372673828078251576759770892200578999903911725835223606390296233151247964912957658740983693202910822865978346905302840508720891109254710421227783457557728844955805279413790000217261347601699051309771570628243655515269796142308009831375753107454133198422613276586110644158795288351956389954315193067922495588259305021062044975098208696493552184137688580036621256534652083578266399701636022191348225694675115820506456834871387558290022268760338696284365298497927660795516034213819846368524500791246885740694124658021056391313884336608806700467525830280139243568859079729458728130439395469995863910740255682051841827348542675619092343119288205871789993682775008592952336367871660029060337964722388783744202958734269980500421108167634106821149088281556395300093548042573346948434129956020418091808601110056138974464189823835296197515537757908230778261671023662976351462661837395032075339600370130643694027386162050142571160386983943707962183709166074330863643867118345962629346628304050585886905974740575710332126228955841}
15697  5902519284531605238234299146795420388376480609852394228265456242: {517539,768467,1019135,1081299,1097810,1207283,1222962,1317372,1568300,1724690,1881960,2007424,2069628,2084243,2117205,2206227,2258352,2427455,2486919,2522387,2540646,2648399,2912946,2977490,3073084,3179183,3274403,3364535,3462407,3572988,3603410,3729698,4037442,4324092,4390120,4481906,4491263,4541690,4682639,4709747,4938885,5058503,5146547,5268144,5281959,5328140,5450028,5700935,5859458,5879625,5926662,6271600,6369143,6393768,6416090,6673583,6728210,6841122,7055550,7192989,7352210,7399139,7525920,7526207,7584764,7699308,7762643,7779027,7924466,8027648,8073852,8247023,8334844,8337719,8466660,8492735,8622599,8743319,8822652,8981378,9031104,9052058,9067667,9158727,9216083,9533690,9719423,9839447,10159992,10191282,10291778,10533027,10590892,10807239,10995623,11089490,11153459,11408488,11429991,11440428,11511203,11628579,11671667,11733455,11888303,11906920,12736658,12830540,12834549,12909554,12953810,12993159,13307388,13395285,13537479,13562483,13884890,14037455,14080146,14109986,14267603,14288304,14352339,14623527,14702540,14796386,14914984,15131123,15279225,15396648,15415535,15429914,15473068,15544572,16074342,16196903,16209263,16212364,16297840,16491938,16556642,16661868,16673306,16673810,16779357,16833479,16844946,16983290,17242994,17321229,17508899,17643048,17655539,17716307,17923048,17926463,18100005,18335070,18442220,18498642,18618455,18834172,19306672,19368287,19435283,19557408,19676378,19735059,19848429,19975425,20008572,20163429,20171368,20379948,20382290,20460479,20862959,20867762,20936447,20952143,21053843,21067239,21307120,21333027,21364847,21536762,21547625,21615890,21720006,21735923,22002084,22130664,22304066,22342146,22692789,22756883,23156090,23160520,23340338,23694023,23715399,23970510,24050387,24143987,24458748,24783983,24896997,25226188,25293927,25309010,25422455,25556259,25568544,25696367,25849523,25857150,25939068,26055585,26185192,26194079,26603427,26864679,26875765,26905960,27015225,27126323,27580960,27608783,27688648,27764690,27787308,27792624,27907527,27913394,28216364,28401107,28435605,28487426,28545203,28569935,28715783,28764612,28816240,28946919,29018135,29301244,29458341,29826818,29885807,29909210,29939637,30097132,30269205,30312743,30331312,30370812,30499527,30506946,30521210,30605327,30855884,30914162,31028580,31149729,31266702,31331714,31541747,31690607,32145455,32243399,32250918,32287152,32418270,32420584,32891639,33035735,33058067,33097152,33109052,33317628,33325779,33343340,33539834,33691007,34056983,34112687,34122726,34283922,34491410,34522684,34579488,34625426,34821762,34884239,35306546,35405690,35554679,35586803,35618727,35642425,35891052,35916328,36323046,36446828,36473157,36625452,36723383,36854908,36885027,36927890,37234296,37524563,37663528,37675298,37906535,38079122,38393950,38397459,38469119,38526803,38574546,38751890,38901924,39150759,39642882,40012008,40095059,40401939,40405869,40453223,40573010,40915706,41038067,41389692,41438978,41647719,41730188,41858920,41888583,41896227,42144519,42222565,42371469,42442439,42486828,42577394,42609740,42690472,42694010,42770910,42888099,42916223,43135527,43170455,43420425,43741173,43929105,44313468,44546963,44789843,44821439,44941372,44997743,45013509,45348455,45487842,45543263,45622304,45741722,46036403,46072740,46315120,46502268,46576839,46639919,46650935,46801079,46815983,46857712,47091285,47197384,47225810,47517455,47574899,47902463,48026781,48102225,48130010,48281619,48382919,48687612,48730367,48732410,48908759,49070867,49135058,49144256,49181999,49216403,49318120,49350707,49543468,49677455,49950284,50216979,50230704,50379839,50442225,50445928,50667078,50838290,50917750,50933608,50952866,51131688,51232812,51309040,51325092,51386138,51541607,51609203,51804546,52072825,52104510,52238963,52714926,52929239,52966706,53097057,53114735,53294183,53407154,53473427,53630258,53805040,54299999,54418146,54708904,54848500,55038290,55287288,55327804,55467939,55482885,55578144,55580889,55981122,56411427,56509542,56660279,56670972,56751669,56898743,57020946,57237503,57300309,57369263,57378935,57523149,57698714,57722670,57756012,58143983,58150739,58478892,58624319,58625810,58755027,58952588,58988199,59034866,59181744,59198540,59244172,59612946,60149378,60150743,60186568,60226943,60317950,60530670,61005948,61101300,61185935,61308890,61369607,61547517,61570848,61842803,61878143,61999779,62007203,62153039,62198199,62487390,62525412,62534373,62717183,62829239,63253583,63276563,63303554,63377427,63630503,63737682,63796802,63814883,63985490,64087667,64088908,64201960,64282490,64497359,64566048,64695407,65100287,65101586,65174720,65228065,65766290,65818200,65950888,66045948,66167725,66579462,66640163,66653216,66767063,66905843,66951458,67149218,67334505,67709889,67801946,67913427,68137959,68432090,68731223,68854722,68875379,68925218,68954344,69033927,69241964,69267204,69338003,69614810,70108499,70192940,70206080,70350972,70353959,70501010,70621583,70745087,71038248,71146607,71258727,71312493,71823472,71825666,72227205,72381540,72389978,72513448,72520499,72636804,73321560,73423122,73570668,73571363,73700392,73765922,74014163,74045475,74075735,74194749,74389750,74555427,74627090,74880465,74984868,75016562,75232934,75426339,75513719,75851666,76122335,76390610,76744367,76782588,77042352,77043554,77138988,77206976,77341523,77409068,77573637,77739347,77753135,78209664,78273678,78355000,78383305,78534323,78600652,78896207,78919548,78981840,79039720,79089159,79201826,79248179,79401270,79470844,79526783,79616543,79715618,79729059,79872496,79918029,80034405,80160125,80179826,80231687,80801406,80875682,81055463,81214599,81421043,81577629,81878786,81956090,82058727,82118508,82208135,82269219,82311443,82486755,82871279,82912941,83088959,83280508,83318354,83361443,83534399,83537772,83724172,83842792,84231528,84247296,84468083,84601212,84694688,84792947,84838319,84895825,84985959,85082277,85370032,85452143,85512143,85529644,85648787,85821218,86038490,86168500,86368823,86554348,86672646,86857848,86975385,87050919,87219923,87224258,87591194,87772919,87815135,87913874,87985872,88071458,88137448,88149375,88483785,88854570,88890882,88919685,88941143,89007455,89178803,89267700,89297427,89552508,89567954,89569907,89635964,89856558,89871208,90309927,90395090,90463607,90511779,90724226,90937007,90958823,91091363,91346802,91517799,91553810,91668732,91781385,91892306,92318727,92382407,92422010,92519303,92574959,92670983,92773744,92854069,92958455,93000410,93182950,93267866,93303762,93462407,93650066,93744335,93857267,94026000,94059966,94162919,94245683,94305927,94323141,94382704,94760469,94778208,94847664,95021843,95094759,95137586,95218880,95281524,95368538,95415923,95488305,95537807,95644940,95731247,95838184,95886626,95962802,96041286,96192150,96559154,96764927,96976919,97061687,97116225,97456082,97715079,97900144,98129138,98215527,98275058,98310527,98347308,98649762,98984106,99054290,99154629,99210386,99659987,99946659,99979535,...,2650595338656865154307321760439178569910700422462840952765001914605080581174493057489362709728899252930436973703819754553316012285474963650464164416194937874959913755962481931019050963897790939265707589558571525246431253068414800644564285508977628260542526783035277313661055408720187119140513945295512409236953414684603118691260269267539939470205320555968831978446548474577082246957330803300356478890126228732747016219114351202919719807101930054713374283604832907304186592590589281038158215349311898424931982546216667111302254967710169723714752303122421148114643962173201230146588794724336981665257041311482186485773055123426773455412558416124795456212238362154981079884739774976015336997255718139334776664069141974026752831400802549603455626723501945673081404504274023904424747678803731343386109079809764226058571895147491046175675842822887146775525405350137194829005170925508170383797735171099034610418371801652989939654694371525948577683380813840439852041341622479763196759511994671305955699220188330254493263048679784090445134386939176037775459792783748369470099660863523633001983756517794094613079649283682210753212044414265042700184611374428791163592972309132133982275932381980175315269254838654271139668925442704984945120797855300006108677126259505304138751886218407700956672994372077596454998319433875285851535365247662296850727964582219717959911615048350630796162788037004602748486924986823866472362591199250292544523582933705936941265473316744439741807096297783602336223163565104104335435679694522934105333205215634446964808520394977534997286550610211654644924270547763821304462540403787344961188145672947228303711276743638459941073705885053333623015130135598735079695427504324874020359728189744013108501004143272177597896817702114814192211727051135941853272420257423896660784345740028082726633464278261991402912183584773382161675379536111437688532935514696255130967592900154427341942446495183411053363025013784928379153731330570214394021378951759795158032667721662514320925499544028075188418512448811742267290034440373518991425145439639278304173919193959994485214320340909402455769798056900825456457492384274495719991577033344790603115157162213372080450619629851711658937278312359974000561477556845475761532117708741860400124730723431129264578839941360557455744801480074851965952253098447061596687383677210974371015561364883968468616882449860042767119467160174191592036514882733523428213849311924943949578278888099107818191822824461283505795504405400781182541299654100947109501638607788}
15698  5928605722078592550635001652159337407315982803818497890725130071: {297901,407758,485677,533086,579457,690052,908686,1233901,1441732,1471006,1513297,1630616,1646715,1658158,1756496,1834443,1960375,1976058,2094286,2162701,2352450,2439937,2509280,2587035,2759504,2778046,2822940,2941636,3011136,3104442,3315892,3387528,3521758,3810969,3841355,3883928,3954526,4180717,4263166,4369419,4466235,4609626,4725037,4763984,5176657,5356801,5359482,5383256,5405115,5487650,5594547,5626477,5765456,5805901,6056163,6167806,6253201,6431617,6486138,6585180,6660175,6698701,6722859,6812535,6900958,6965137,7024192,7042612,7083886,7266704,7584301,7839500,7902216,7935646,7992210,8175042,8299726,8525024,8723758,8724817,8789187,8889993,9121496,9160237,9407400,9480955,9590652,9624135,9629758,9982427,10034560,10092315,10261683,10265744,10351966,10372036,10418555,10583325,10652206,10765136,11028315,11225197,11251486,11288880,11377146,11480401,11548962,11729758,11763536,11886699,11908846,12041472,12073357,12110778,12147406,12211636,12326401,12502266,12504766,12699990,12802126,12998017,13050611,13217758,13233978,13238615,13472067,13546656,13578087,13581901,13588376,14044036,14105758,14244877,14260610,14300535,14409652,14577886,14883650,15239988,15253904,15284158,15286923,15437667,15460366,15504772,15638401,15682667,15870958,15886338,16038175,16573006,16634235,16864846,16893338,17112732,17160642,17324212,17649947,17743184,17860380,17888257,18046801,18049972,18378175,18441901,18491758,18599437,18643730,18665326,18678097,18773528,19051072,19104987,19136452,19245810,19341335,19358158,19364331,19430715,19498036,19961082,20265455,20372300,20507758,20528864,20621197,20726096,20827335,21120219,21164979,21432456,21764926,21916801,22053810,22106446,22194579,22215824,22372476,22403810,22459928,22617646,22893517,22912043,23052775,23070958,23094972,23144871,23209602,23316858,23414401,23524064,23542715,23784301,24087166,24111513,24133340,24227567,24318546,24446760,24593326,24649486,24664856,24737617,24737907,24834963,24992802,25009959,25010715,25214210,25267419,25322158,25474935,25822477,25864491,26076544,26159758,26313412,26464572,26539898,26633900,26678096,26884572,27173264,27243757,27437086,27502605,27524557,27594577,27658366,27663330,27734401,27747963,28089652,28251258,28368011,28444036,28911277,28925758,28950650,28960008,29113799,29253457,29309806,29336112,29507552,29514567,29747758,29789528,29932417,30012858,30257052,30457246,30569922,30573435,30604177,30670957,31109758,31272526,31301643,31426787,31532735,31598317,31620532,31795201,31960680,32192158,32305143,32423835,32580009,32611664,32731490,32955587,33003126,33195996,33219217,33410701,33456099,33513219,33536158,33537997,33632450,33725236,33803758,34075012,34091392,34476200,34585424,34604158,34610810,34734135,34740780,34981201,35010507,35241886,35270455,35289901,35412877,35471236,35819572,35955765,36020300,36023437,36088606,36352366,36626555,36686737,36688122,36826126,37049744,37056832,37141246,37210036,37282177,37354163,37612846,37621415,37839282,37914140,37963515,38103697,38135326,38352816,38569855,38595892,38681857,38785725,38853901,38908602,39139201,39252817,39277788,39330958,39816577,39872557,39919516,40358940,40494416,40525730,40666036,40675928,40977037,41000498,41085901,41236606,41297711,41371440,41386315,41390158,41532972,41647035,41679175,41680962,41688936,41870091,42308446,42317137,42324546,42562606,42731139,43001224,43047937,43049536,43146918,43153355,43170958,43224360,43676158,43928158,43951866,44129536,44140187,44317837,44423504,44434372,44566907,44615917,44714701,44740227,44863815,44895410,45145698,45331966,45431758,45496968,45556218,45558535,45711896,45760419,45781815,45830017,46068635,46105984,46161901,46283826,46371243,46429016,46536877,46542870,46673758,46772686,46900053,46953217,46997571,47079410,47491636,47512606,47561806,47634157,47854736,47870291,48298897,48376377,48395758,48430728,48516877,48627405,48630876,48733057,48833936,49180036,49269506,49613758,49645728,49663578,49759246,49976442,49992337,50015010,50033197,50309751,50580958,50716801,50835277,51184089,51196612,51302701,51379597,51425883,51432728,51637486,51737115,51784026,51869232,51938139,52058701,52162735,52162846,52201012,52232643,52243201,52323650,52498477,52591246,52663247,52678657,52857176,52959819,52963201,53108535,53207758,53262175,53312401,53349344,53363090,53415757,53552557,53822701,53836578,53869252,53874492,54055297,54150958,54413677,54479566,54484569,54573697,54670242,54760606,54854158,54905323,54938178,55181086,55186256,55282362,55391835,55414126,55530292,55760077,55851444,55861636,56176715,56187217,56192692,56249758,56353537,56388526,56495292,56512947,56649104,56711758,56810701,56941201,57027880,57080206,57118683,57184132,57196801,57371437,57514036,57518317,57566701,57590925,57686401,57707027,57733777,57768286,57861819,57893900,58088158,58127835,58321564,58323457,58352886,58431277,58473901,58572140,58723597,58996730,59084624,59135617,59210497,59392657,59445901,59464323,59567617,59911597,59973517,60018012,60064237,60260446,60265837,60335051,60650456,60818257,60827663,60828877,60859515,60870637,60979537,60998401,61130701,61155217,61232257,61315201,61328017,61373559,61376401,61414957,61430320,61468417,61477201,61489837,61509457,61555006,61562701,61578577,61580557,61647650,61929335,62003024,62084538,62102452,62142179,62158467,62437855,62595282,62788380,62845538,62880046,63057410,63449267,63449758,63667010,63730242,63799006,63866091,63914610,64035708,64041015,64136300,64156365,64375492,64487843,64624366,64840606,64916816,65271886,65486926,65710151,66470202,66955972,66974272,67023406,67256300,67297747,67412058,67556104,67952158,68175584,68231763,68310416,68386130,68433456,68560625,68612583,68789758,69072728,69081406,69109110,69159755,69330766,69345419,69413758,69472680,69753402,69888434,69910366,69951646,70034158,70286568,70445758,70773886,70796076,70838715,71752126,71995246,72157006,72195015,72278158,72557528,73031418,73082158,73098615,73362443,73431371,73690735,73702587,73716384,73957252,73959166,73977180,73998175,74055215,74104192,74107852,74157406,74315202,74641496,74698778,74925426,74985646,75215236,75233210,75260158,75338446,75346056,75561296,75668892,76000617,76027928,76156606,76257435,76376625,76400412,76429299,76666343,76697532,76849218,76873711,76890766,76963560,76987638,77008016,77079207,77120267,77121406,77706819,77771758,77971856,78156765,78340036,78455326,78637307,78650932,78908992,79072389,79396126,79450059,79483928,80110731,80111135,80141566,80252450,80289886,80445387,80707560,81064366,81177026,81341264,81468400,81627219,81943199,82063356,82094464,82158526,82230958,82272750,82438610,82557435,82584866,82666372,82930932,82991706,83130958,83316520,83367216,83379164,83737246,83858411,83971683,84197758,84503236,84620446,84764313,84821143,84830926,84983576,85006458,85354606,85531419,85662626,85943758,86047246,86088064,86185006,86192930,86548071,86552455,86584005,86634018,86801758,87480958,87718338,87726947,87741175,87757600,87938715,88061264,88086766,88428882,88552299,88772616,88797810,88866258,88867883,88882123,88919566,89122418,89216926,89382251,89419419,89779340,89905726,90224067,90279852,90296158,90476925,90551236,90641810,90796005,90850612,90941758,91014979,91421758,91508922,91651950,91806296,91834846,91963335,92045236,92119246,92125490,92276686,92308126,92356272,93675646,93731085,93788118,93801296,93859726,94717664,94771486,94900883,94955331,95011636,95072206,95083324,95606523,95695203,95728346,95978235,96001091,96133362,96229726,96302940,96423735,96508720,96761335,96849072,96987886,97334158,97420366,97620958,97652379,97762080,97897496,97943750,97963006,98094224,98250815,98387326,98649435,98727300,98799650,98926332,99068922,99338555,99363406,99407236,99528766,99720958,99840620,99869193,99979824,...,3975893007985297731460982640658767854866050633694261429147502871907620871761739586234044064593348879395655460555729631829974018428212445475696246624292406812439870633943722896528576445846686408898561384337857287869646879602622200966846428263466442390813790174552915970491583113080280678710770917943268613855430122026904678036890403901309909205307980833953247967669822711865623370435996204950534718335189343099120524328671526804379579710652895082070061425407249360956279888885883921557237323023967847637397973819325000666953382451565254585572128454683631722171965943259801845219883192086505472497885561967223279728659582685140160183118837624187193184318357543232471619827109662464023005495883577209002164996103712961040129247101203824405183440085252918509622106756411035856637121518205597015079163619714646339087857842721236569263513764234330720163288108025205792243507756388262255575696602756648551915627557702479484909482041557288922866525071220760659778062012433719644795139267992006958933548830282495381739894573019676135667701580408764056663189689175622554205149491295285449502975634776691141919619473925523316129818066621397564050276917061643186745389458463698200973413898572970262972903882257981406709503388164057477417681196782950009163015689389257956208127829327611551435009491558116394682497479150812928777303047871493445276091946873329576939867422572525946194244182055506904122730387480235799708543886798875438816785374400558905411898209975116659612710644446675403504334745347656156503153519541784401157999807823451670447212780592466302495929825915317481967386405821645731956693810605681017441782218509420842455566915115457689911610558827580000434522695203398102619543141256487311030539592284616019662751506214908266396845226553172221288317590576703912779908630386135844991176518610042124089950196417392987104368275377160073242513069304167156532799403272044382696451389350231641012913669742775116580044537520677392568730596995855321591032068427639692737049001582493771481388249316042112782627768673217613400935051660560278487137718159458917456260878790939991727821480511364103683654697085351238184686238576411743579987365550017185904672735743320058120675929444777567488405917468539961000842216335268213642298176563112790600187096085146693896868259912040836183617202220112277948928379647670592395031075515816461556523342047325952702925323674790064150679200740261287388054772324100285142320773967887415924367418332148661727287734236691925258693256608101171773811949481151420664252457911682}
15699  5954806542877670576336433167309247791369049485646094317147501593: {611637,799629,862565,1035078,1363029,1426789,1536934,1802165,2038270,2162598,2195620,2206509,2414566,2445924,2487237,2634744,2930477,2964087,3136600,3141429,3398437,3449380,3528675,3677045,3763920,3869749,4014848,4139256,4144865,4167069,4168486,4234410,4412454,4516704,4656663,4710349,4854910,4973838,5044774,5081292,5282637,5296798,5653621,5825892,5931789,5954980,6146168,6358366,6394749,6548806,6729070,6914439,6924814,7056797,7145976,7206820,7459396,7527169,7981309,8039223,8074884,8086397,8231475,8648184,8744437,8780240,8803265,8963812,8982526,9083380,9217261,9251709,9365278,9419494,9729207,9799375,9877770,10117006,10143221,10293094,10351437,10436549,10536288,10563918,10625829,10656280,10900056,10901777,10997029,11401870,11718916,11759250,11853324,11889829,11903469,11988315,12262563,12449589,12543200,12738286,12787536,12832180,12965045,13085637,13154081,13347166,13456420,13604149,13682244,14081729,14111100,14385978,14444637,14704420,14798278,15051840,15052414,15169528,15264545,15398616,15525286,15527949,15558054,15848932,15978309,16028389,16055296,16147704,16426837,16494046,16669688,16675438,16877229,16894949,16933320,16985470,17065719,17245198,17323443,17486638,17555045,17594637,17645304,17863269,17962756,18012065,18062208,18102421,18104116,18135334,18166167,18221109,18317454,18338837,18432166,18582881,18753399,18757149,19049985,19067380,19203189,19380965,19438846,19652437,19678894,19826637,19850967,20319984,20382564,20583556,20865637,21066054,21158637,21181784,21390915,21581749,21614478,21646909,21655265,21866829,21991246,22178980,22306918,22325475,22562465,22816976,22859982,22880856,22926237,23022406,23190549,23257158,23343334,23417101,23435357,23466910,23776606,23806437,23813840,23829507,23920565,24372545,24849829,24859509,25297269,25340007,25465375,25473316,25661080,25669098,25687909,25740963,25819108,25907620,25986318,26065837,26614776,26752577,26790570,27074958,27124966,27737637,27769780,27965595,27997989,28074910,28160292,28219972,28535206,28576608,28704678,28719469,28868715,29037237,29247054,29405080,29512837,29592772,29829968,29908049,29941623,30166675,30262246,30558450,30761637,30793296,30831070,30859828,30946136,31089144,32148684,32393806,32403277,32418526,32424728,32559197,32595680,32647389,32891765,32983876,33080715,33113284,33159669,33292375,33323736,33346612,33347620,33558714,33605715,33666958,33689892,33926469,33966580,34485988,34606437,34632077,34642458,34814403,34975287,35017798,35112065,35211457,35286096,35311078,35432614,35555045,35591437,35846096,35852926,36130749,36200010,36477819,36670140,36884440,36889989,36974229,36997284,37236910,37489203,37626071,37668344,37821315,37983237,38315309,38606117,38613344,38736574,38870566,38871937,39114816,39239637,39352756,39470118,39525665,39696858,39809847,39950850,39997909,40017144,40214561,40326858,40342736,40625389,40759896,40764580,40920958,41043781,41155629,41487549,41494995,41725918,41735524,41872894,41904286,42107686,42134478,42156545,42376887,42593765,42614240,42666054,42729694,43073524,43095250,43231780,43388637,43425975,43440012,43471846,43964709,44004168,44261328,44339045,44608132,44621637,44684292,44774465,45003637,45019287,45025375,45385578,45513766,45549109,45601601,45685869,45854883,46250029,46312180,46321040,46512545,46664637,46680676,46908789,47388046,47392675,47430798,47941020,48100774,48244865,48287974,48288237,48915037,48917496,49097235,49504689,49567966,49793994,49899395,50304237,50448675,50452376,50587854,50618020,50705637,50832545,50844910,51112518,51137088,51392734,51699046,51714300,51878136,51906237,51916215,51993797,52111170,52370384,52388158,52573861,52604717,52862829,53069149,53206854,53211029,53729358,53751530,53811920,54030450,54132909,54237461,54252646,54528549,55032183,55161920,55217566,55239189,55377296,55529380,55542965,55574616,55585248,55711869,55815054,55826788,56419269,56432728,56758923,56802214,56811281,56871210,56974852,57090406,57139870,57202989,57431566,57529224,57632480,57893838,58036270,58362903,58602488,58916682,58996437,59111591,59295349,59364545,59653636,59771614,59818420,59879274,60194264,60438637,60534221,60538410,60625486,60662624,60734669,60741624,60788595,60999054,61013892,61042420,61184917,61210654,61475045,61500747,61711768,61828324,61854909,62057160,62085237,62299458,62521443,62533404,62552737,62663428,62744909,63083494,63381214,63462669,63486819,63487837,63801149,63843909,63995765,64290910,64486798,64501836,64574304,64720377,64756437,64836540,64841168,64896589,65218541,65251265,65311309,65464421,65514237,65783278,65892237,65927799,66071470,66116134,66194304,66218104,66524437,66635256,66651558,66686680,67079668,67227301,67243969,67336565,67343115,67382014,67430957,67718547,67997949,68113966,68147637,68222237,68225374,68245452,68334327,68567844,68982820,69045368,69158976,69250852,69412865,69425739,69548437,69643524,69768478,69814305,69827045,70010637,70159029,70240865,70374821,70483649,70613092,70619115,70695181,70811380,71109358,71173606,71237454,71268909,71284850,71342709,71480165,71782104,71832656,71892545,72367375,72593637,72646092,72893656,72901955,72946314,73086949,73215175,73250904,73446766,73570577,73709816,73770054,73820597,73855780,73904259,74252737,74360629,74420637,74468592,74495367,74638869,74964663,74978821,75022515,75049126,75327056,75350596,75417589,75492037,75813070,75871437,76099069,76158244,76787900,76794918,76938238,77053606,77149092,77216117,77456229,77503780,77628065,77676039,77748449,77803848,78244269,78301518,78485475,78886869,78906529,79285764,79811637,80024016,80044635,80170375,80190118,80330509,80469365,80754867,80803878,80811738,80906446,81146020,81226437,81227809,81658301,81719349,81831412,82005363,82076134,82140909,82281237,82407267,82759037,82771629,82779384,82877956,82923543,83121189,83295438,83395517,83460376,83694965,83717840,83777166,83792454,84070375,84289038,84374637,84445130,84582789,84742938,84884878,84973656,85067637,85154788,85219480,85380944,85388020,85541820,85620309,85660309,85776198,85832446,86271054,86340910,86652429,86659957,86840850,87132237,87482346,87529329,87858210,88397249,88495095,88626936,89093926,89579686,89642878,89670709,89882744,89995486,90027018,90390669,90696910,90975684,91086526,91244608,91319291,91483444,91956097,91989329,92072806,92145480,92332509,92446565,92471475,92630240,92634815,92707637,93004536,93126807,93153678,93233237,93279838,93301870,93602158,93631966,93715424,93892923,94019045,94182570,94268307,94320069,94394768,94451620,94586115,95034910,95149798,95174637,95500515,95595363,95698509,95804926,95871915,96053562,96204450,96224869,96260020,96529861,96563238,96765838,96936549,96991381,97260909,97375224,97460734,97464820,97507157,97817518,97907829,97925045,98141734,98230389,98270116,98288512,98313665,98363998,98432806,98518069,98636240,98701414,99086936,99354910,99611789,99705303,99900568,...,5963839511977946597191473960988151782299075950541392143721254307861431307642609379351066096890023319093483190833594447744961027642318668213544369936438610218659805950915584344792864668770029613347842076506785931804470319403933301450269642395199663586220685261829373955737374669620421018066156376914902920783145183040357017055335605851964863807961971250929871951504734067798435055653994307425802077502784014648680786493007290206569369565979342623105092138110874041434419833328825882335855984535951771456096960728987501000430073677347881878358192682025447583257948914889702767829824788129758208746828342950834919592989374027710240274678256436280789776477536314848707429740664493696034508243825365813503247494155569441560193870651805736607775160127879377764433160134616553784955682277308395522618745429571969508631786764081854853895270646351496080244932162037808688365261634582393383363544904134972827873441336553719227364223062335933384299787606831140989667093018650579467192708901988010438400323245423743072609841859529514203501552370613146084994784533763433831307724236942928174254463452165036712879429210888284974194727099932096346075415375592464780118084187695547301460120847859455394459355823386972110064255082246086216126521795174425013744523534083886934312191743991417327152514237337174592023746218726219393165954571807240167914137920309994365409801133858788919291366273083260356184095581220353699562815830198313158225178061600838358117847314962674989419065966670013105256502118021484234754730279312676601736999711735177505670819170888699453743894738872976222951079608732468597935040715908521526162673327764131263683350372673186534867415838241370000651784042805097153929314711884730966545809388426924029494127259322362399595267839829758331932476385865055869169862945579203767486764777915063186134925294626089480656552413065740109863769603956250734799199104908066574044677084025347461519370504614162674870066806281016088853095895493782982386548102641459539105573502373740657222082373974063169173941653009826420101402577490840417730706577239188376184391318186409987591732220767046155525482045628026857277029357864617615369981048325025778857009103614980087181013894167166351232608876202809941501263324502902320463447264844669185900280644127720040845302389868061254275425803330168416923392569471505888592546613273724692334785013070988929054387985512185096226018801110391931082082158486150427713481160951831123886551127498222992590931601355037887888039884912151757660717924221727130996378686867523}
15700  5981122244524596291231022325952046787357562189777791155025836391: {266611,454459,595802,815516,829291,922819,971354,1066172,1109659,1158914,1380104,1552617,1817372,2039539,2305401,2317099,2467802,2686171,2744525,2883464,2942012,3026594,3057405,3243897,3261232,3293430,3316316,3512371,3512992,3603811,3621849,3668886,3695179,3920750,3952116,3968851,4188572,4311725,4325402,4704900,4876411,4879874,5018560,5174070,5377897,5519008,5556092,5645880,5883272,6022272,6134899,6208884,6252729,6351615,6580939,6618681,6631784,6775056,7043516,7113811,7282365,7443725,7460757,7567161,7621938,7682710,7767856,7909052,7945197,8361434,8522131,8526332,8609539,8738838,8932470,8958451,9008525,9045499,9219252,9306211,9324245,9450074,9527968,9537549,9739291,9823209,10093605,10256611,10353314,10387221,10713602,10718964,10766512,10810230,10975300,11113051,11189094,11204765,11252954,11354225,11368579,11530912,11611802,12046819,12112326,12215659,12335612,12506402,12720451,12863234,12972276,13139131,13170360,13273337,13320350,13397402,13445718,13473789,13625070,13722259,13801916,13888219,13930274,13971091,14047917,14048384,14053891,14085224,14129241,14167772,14384371,14466811,14533408,14585977,14648645,14816655,15123739,15168602,15175509,15439641,15531979,15679000,15804432,15845877,15871292,15984420,16040225,16181419,16350084,16599452,16745899,16820525,16906531,17050048,17102805,17146939,17447516,17449634,17578374,17638875,17779986,18242992,18320474,18380525,18418171,18534061,18575779,18814800,18961910,19107429,19181304,19248270,19259516,19670971,19811165,19964854,20020749,20069120,20184630,20523366,20531488,20675299,20703932,20744072,20837110,20852777,21166650,21211051,21304412,21530272,21578967,21591571,22056630,22197417,22450394,22453445,22502972,22577760,22578621,22630145,22722331,22754292,22797139,22960802,23097924,23287929,23337081,23393011,23459516,23527072,23773398,23817692,23834225,24082944,24146714,24204811,24221556,24294812,24423272,24652802,24741069,24862531,25004532,25009532,25013157,25297771,25399980,25478205,25604252,25729445,25867797,25874059,25996034,26101222,26229957,26231899,26435516,26467956,26477230,26800699,26944134,27077869,27093312,27153859,27156174,27163802,27176752,27203001,27435091,27476181,27648249,27723725,28088072,28211516,28341139,28371637,28410331,28489754,28521220,28601070,28819304,29155772,29158269,29518341,29767300,29846731,30116731,30184051,30479976,30507808,30568316,30573846,30875334,30920732,31009544,31185211,31276802,31365334,31599081,31741916,31772676,31841645,32076350,32214677,32273885,32365219,32384525,32421717,32559619,32959801,32986869,33146012,33268470,33460377,33521899,33729692,33786676,33839059,33965419,34225464,34289973,34321284,34407217,34533609,34648424,34655251,34712225,34717531,34885737,35015001,35027851,35089699,35200365,35274965,35299894,35486368,35520619,35664909,35720760,35776514,35887171,36008779,36093602,36099944,36130099,36756350,36883802,36911659,36983516,36990965,37198874,37209019,37287460,37330652,37356194,37547056,37681051,38102144,38206579,38209974,38272904,38491620,38496019,38503647,38574785,38682670,38716316,38728662,38861430,38955379,38979477,38996072,39922164,40027891,40083619,40185855,40194859,40530910,40612437,40687449,40744600,40910899,41015516,41057728,41128771,41229845,41242394,41391605,41452192,41561059,41654670,41683265,41684525,42112365,42240438,42253699,42329958,42359179,42458225,42802809,42864912,43037779,43057017,43107485,43192651,43398139,43500451,43529852,43833602,43870581,44058019,44107620,44145829,44212892,44389158,44431648,44557339,44744952,44807620,44902579,44919856,44951611,45195691,45235292,45244291,45393369,45486211,45787034,45824086,45837675,46105550,46106779,46141916,46154011,46189944,46201171,46246605,46289742,46419204,46633716,46807699,46828802,46945939,47048128,47085430,47402059,47568602,48174332,48223026,48266680,48380179,48423811,48455134,48510859,48590709,48627789,48637092,48684091,48893520,48941779,49186652,49190945,49298972,49329712,49365499,49378637,49475234,49475814,49669926,49864459,49985604,50019918,50021430,50110051,50338071,50428420,50500437,50534838,50553571,50644316,50949211,50949870,50955725,51277177,51337651,51529171,51644954,51728982,51831859,51963687,52018699,52153088,52169405,52319516,52423411,52526697,52626824,52669981,52929144,52966617,53031739,53079796,53148921,53267800,53310811,53356192,53551219,53769144,53779389,53841905,53988331,53997797,54039725,54054499,54300015,54346528,54445459,54487514,54794731,54874172,54912341,54981571,55005210,55049114,55165819,55189154,55316732,55326660,55468802,55495926,55556131,55615099,55760165,55819219,55855365,55991371,56132851,56179304,56188939,56244739,56502516,56733979,56736022,56888072,56969851,57473131,57594451,57618499,57666379,57690211,57808291,57822554,57851516,57890225,57901300,57920016,57940841,58104861,58129339,58227598,58240579,58305849,58350845,58506914,58605331,58619612,58672224,58691897,58909891,58968859,59015104,59029134,59103931,59122939,59179531,59205177,59290771,59309059,59399419,59487979,59495516,59545287,59579056,59726371,59775619,59864834,59926275,59966131,60025716,60204019,60274579,60302299,60383731,60414697,60490287,60514104,60588211,60648331,60660139,60752011,60807091,60828619,60901699,60914492,60931939,61064491,61099771,61139844,61146870,61182931,61208354,61266091,61341914,61353139,61381437,61468051,61486339,61519459,61547971,61551211,61554379,61563451,61597219,61619251,61621411,61621771,62219516,62545052,62588877,62603286,62809341,62853574,62856429,63065470,63161529,63196634,63201717,63241064,63272525,63590402,63781949,63921360,63999081,64094541,64384316,64496089,64610286,64642875,64847670,64888109,65160018,65207769,65223328,65462980,65911174,66006252,66391992,66438434,66821402,66912198,67026438,67072316,67075994,67264900,67306349,67450472,67607516,68078367,68150024,68182784,68270649,68952400,69170848,69208316,69221620,69411725,69468270,69481560,69783485,69962402,70021014,70024757,70483772,70540910,70579802,70825754,70942472,71082069,71146197,71218565,71639144,71911530,72040600,72046874,72151161,72177212,72431961,72704732,73027829,73253110,73373474,73376244,73440757,73652252,74099488,74113664,74282492,74351949,74420072,74564354,74567045,74690991,74708326,74773025,75215129,75225692,75242830,75678564,75828280,75881781,75927030,76207394,76267365,76270652,76303025,76668777,76705632,76883537,77089101,77139710,77191784,77285405,77363714,77548569,77571450,77707802,77817204,78166755,78278402,78329285,78505634,78555576,78582237,78647401,78661916,79533701,79633154,79745114,79810281,79839032,80594037,80627295,80717880,80988832,81045675,81051460,81332072,81351856,81378969,81953677,81954074,82000996,82171802,82473212,82595422,82742880,82772630,82780316,82826349,83065944,83294070,83358350,83361924,83377872,83722581,83740182,83849585,84616892,84634274,84649092,84831989,85125212,85203321,85306815,85462278,85635609,85709805,85917677,86002448,86095874,86099072,86147349,86228525,86293836,86306710,86341916,86448720,86563565,86701069,86840757,87054405,87352316,87412997,87856316,87903732,88259072,88266365,88280374,88375023,88514225,88635674,88847008,88868744,89133814,89231834,89429402,89480454,89657421,89727630,89790820,89818911,90291396,90663932,90670877,90807615,90863516,90938229,90993936,91026617,91112436,91117070,91423792,91498581,91520838,91563630,91660034,91815981,92137270,92211968,92319725,92323802,92567652,92742486,92858032,93073754,93085740,93347516,93449187,93545372,93800106,93906434,93995142,94158820,94188245,94625241,94800101,94983272,95025212,95071821,95123612,95197805,95268314,95709472,95740582,95984875,96436365,96597794,96730197,96752754,96791516,96823657,96861456,96879725,97033754,97254810,97261752,97466114,97667872,98360072,98539012,98674917,99107205,99174201,99227516,99291456,99327156,99518492,99952884,99977337,99984674,...,7951786015970595462921965281317535709732101267388522858295005743815241743523479172468088129186697758791310921111459263659948036856424890951392493248584813624879741267887445793057152891693372817797122768675714575739293759205244401933692856526932884781627580349105831940983166226160561357421541835886537227710860244053809356073780807802619818410615961667906495935339645423731246740871992409901069436670378686198241048657343053608759159421305790164140122850814498721912559777771767843114474646047935695274795947638650001333906764903130509171144256909367263444343931886519603690439766384173010944995771123934446559457319165370280320366237675248374386368636715086464943239654219324928046010991767154418004329992207425922080258494202407648810366880170505837019244213512822071713274243036411194030158327239429292678175715685442473138527027528468661440326576216050411584487015512776524511151393205513297103831255115404958969818964083114577845733050142441521319556124024867439289590278535984013917867097660564990763479789146039352271335403160817528113326379378351245108410298982590570899005951269553382283839238947851046632259636133242795128100553834123286373490778916927396401946827797145940525945807764515962813419006776328114954835362393565900018326031378778515912416255658655223102870018983116232789364994958301625857554606095742986890552183893746659153879734845145051892388488364111013808245460774960471599417087773597750877633570748801117810823796419950233319225421288893350807008669490695312313006307039083568802315999615646903340894425561184932604991859651830634963934772811643291463913387621211362034883564437018841684911133830230915379823221117655160000869045390406796205239086282512974622061079184569232039325503012429816532793690453106344442576635181153407825559817260772271689982353037220084248179900392834785974208736550754320146485026138608334313065598806544088765392902778700463282025827339485550233160089075041354785137461193991710643182064136855279385474098003164987542962776498632084225565255537346435226801870103321120556974275436318917834912521757581879983455642961022728207367309394170702476369372477152823487159974731100034371809345471486640116241351858889555134976811834937079922001684432670536427284596353126225581200374192170293387793736519824081672367234404440224555897856759295341184790062151031632923113046684094651905405850647349580128301358401480522574776109544648200570284641547935774831848734836664297323454575468473383850517386513216202343547623898962302841328504915823364}
15701  6007553326762729130754391791488337449781492810079084490665008865: {893703,1019395,1207591,1223274,1332715,1457031,1599258,1725130,1738371,1897159,2070156,2271715,2523031,2726058,2853578,3073868,3275239,3463291,3604330,3677515,3701703,3963751,4076540,4145395,4325196,4391240,4413018,4527763,4539891,4829132,4891848,4940145,4974474,4995859,5147863,5235715,5269488,5503329,5802811,5860954,5881125,5928174,6123451,6273200,6282858,6488103,6796874,6898760,6945115,7057350,7057699,7319811,7354090,7401031,7527840,7739498,7761105,8029696,8087431,8278512,8289730,8334138,8336972,8339851,8468820,8804395,8824908,9033408,9313326,9420698,9556651,9709820,9841963,9886315,9947676,10089548,10162584,10437883,10487059,10565274,10593596,10657915,10903171,11156311,11307242,11432907,11433571,11524065,11651784,11863578,11909960,11987443,12184339,12198439,12292336,12324571,12542151,12716732,12789498,13097612,13108257,13155763,13310491,13398705,13458140,13719125,13828878,13849628,14061259,14113594,14175111,14249191,14291952,14413640,14918792,15054338,15273379,15419515,15529971,15738403,15962618,16070403,16078446,16149768,16172794,16215345,16462950,16783641,16879431,17252395,17296368,17417703,17488874,17560480,17606530,17709715,17927624,17965052,18151063,18166760,18168489,18341191,18434522,18503418,18681619,18730556,18759603,18838988,19294851,19458414,19489363,19598750,19755540,19839115,19864459,19980525,20096103,20168577,20234012,20286442,20437605,20586188,20702874,20749315,20873098,20895411,21072576,21127836,21194983,21251658,21312560,21370363,21673171,21800112,21803554,21809395,21994058,22013011,22420519,22752903,22803740,23437832,23518500,23706648,23777479,23779658,23806938,23976630,24006403,24074395,24525126,24577063,24899178,25086400,25216891,25471699,25476572,25486231,25575072,25664360,25879915,25930090,26171274,26174451,26255539,26308162,26367561,26630515,26669979,26694332,26756011,26912840,27133351,27208298,27282331,27364488,27480711,27696331,27839911,28128715,28163458,28222200,28442865,28771956,28872405,28889274,29324395,29408840,29596556,29772115,29899939,29947281,30103680,30104828,30276945,30317371,30339056,30368515,30529090,30541159,30785049,30797232,31050572,31055898,31116108,31255665,31261915,31587451,31697864,31749975,31956618,32005315,32056778,32110592,32122459,32295408,32853674,32900131,32988092,33044395,33084945,33339376,33350876,33426643,33488791,33573331,33675591,33754458,33789898,33866640,33914011,33970940,34121563,34131438,34441203,34475863,34490396,34646886,34761211,34973276,35110090,35189274,35264395,35290608,35651525,35660097,35726538,35925512,36024130,36124416,36204842,36208232,36220071,36270668,36332334,36442218,36444715,36634908,36677674,36864332,36979203,37165762,37209125,37506798,37514298,37738819,37940551,38099970,38134760,38210395,38406378,38479051,38650915,38706439,38761930,38862091,38877692,38946259,38994051,39031483,39151833,39304874,39357788,39653274,39677395,39701934,39715845,40219723,40416201,40620679,40639968,40734261,40745703,40765128,41167112,41432515,41441563,41731274,42132108,42162115,42233345,42317274,42363568,42627079,42734631,42781830,42901605,42987979,43163498,43228956,43293818,43310530,43733658,43982492,44357960,44613836,44630311,44650950,45124930,45424471,45617851,45625411,45633952,45719964,45761712,45852474,45860769,46044812,46048471,46229395,46313001,46381098,46504603,46514316,46609325,46663315,46686668,46834202,46870714,46915203,46933820,46963411,47048001,47553212,47612874,47627680,47659014,47841130,47849251,48114525,48395395,48745090,48746539,48969691,49156891,49699658,49719018,49777063,49902705,50305771,50466859,50594538,50680014,50930750,50946632,50986843,51269395,51322160,51338196,51375818,51481926,51638216,51815240,51948391,51972636,52000471,52131674,52943011,52949841,53229552,53458411,53505154,53581140,53605651,53664771,53925271,54140403,54149916,54244423,54249932,54412315,55134525,55266115,55325703,55328131,55335931,55475274,55501651,55539560,55798311,55922119,55931190,55995978,56009525,56034291,56076019,56149820,56320584,56439944,56544115,57070412,57153216,57314961,57409356,57438938,57677395,57737430,58024005,58074474,58092993,58292145,58494108,58612651,58810160,59019163,59025674,59040259,59185544,59577751,59582563,59631271,59659936,59816098,59883246,60217915,60333350,60524492,60542119,60796365,61116900,61201411,61483315,61523274,61586592,61623715,61662140,61719656,61863591,61892272,62074663,62169211,62178288,62482005,62684251,63035525,63269971,63305395,63360657,63494937,64297368,64429819,64488391,64514011,64787612,64806554,64837052,64849456,65018731,65117563,65118394,65187403,65191360,65294778,65399395,65750403,65783530,65967752,66161430,66226568,66319338,66349745,66583737,66584750,66647472,66693224,66695240,67055683,67117428,67211430,67333916,67379784,67400563,67429339,67439779,67542811,67852938,67933160,68592715,68680551,68736129,68971976,69145915,69158325,69212874,69264154,69284916,69434613,69497419,69628806,69859153,69950574,70035596,70126663,70224130,70243203,70384039,70422914,70572192,70622156,70628145,70710739,70865228,71007691,71110090,71165563,71182874,71352903,71540443,71550151,71692192,71705852,72261498,72314395,72334539,72342919,72376625,72400020,72682701,72955638,73274515,73340280,73391803,73768880,73779978,73948458,73994568,74094211,74212851,74213721,74369395,74473820,74504889,74978406,75029877,75032145,75061351,75252142,75275299,75282391,75336688,75642630,75802257,75966474,76143115,76192423,76424805,76576291,76630618,76662571,77212234,77226688,77367043,77467431,77473148,77551111,77593473,77741132,77743874,77760151,77774395,78181315,78229632,78432919,78479274,78705512,78706363,78775843,78940236,79051330,79393716,79619694,79691131,79901700,79947691,79995818,80034288,80252563,80424163,80429122,80480395,80653716,80669671,80685472,81250778,81277051,81519792,81529160,81731271,81828725,81841916,82087562,82089799,82225939,82311258,82507815,82538251,82573671,82783731,82975098,82989990,83110363,83110411,83170243,83203203,83243889,83451836,83471048,83745788,83808572,83840395,84029671,84081125,84215372,84268956,84313090,84426379,84509395,84753774,84868183,85104033,85187530,85228480,85332108,85459388,86065063,86147048,86190500,86463560,86479111,86510395,86527025,86733831,86777274,86851950,86880024,86943692,87225559,87341397,87463591,87760371,87929418,88008336,88104715,88133011,88522656,88543701,88678090,89060071,89216264,89243274,89294683,89368584,89548930,89594071,89797251,90007274,90038574,90050750,90151699,90221515,90771156,90880915,91027532,91098218,91203202,91255411,91351771,91371738,91709766,91720305,91812531,92001331,92012871,92065315,92500058,92608819,92624360,92642080,92680663,92853115,93025090,93329274,93361352,93817578,93904929,94032115,94271191,94280361,94493611,94598205,94605859,94642339,94756699,94776092,94785350,94794951,94861596,95338315,95385603,95755963,95882040,96201548,96489730,96575948,96576474,96915429,97178011,97271505,97740027,97757863,97830074,97834992,98119771,98194470,98203579,98327395,98337211,98866761,99009378,99135932,99434599,99587988,99657651,99798790,...,11927679023955893194382947921976303564598151901082784287442508615722862615285218758702132193780046638186966381667188895489922055284637336427088739872877220437319611901831168689585729337540059226695684153013571863608940638807866602900539284790399327172441370523658747911474749339240842036132312753829805841566290366080714034110671211703929727615923942501859743903009468135596870111307988614851604155005568029297361572986014580413138739131958685246210184276221748082868839666657651764671711969071903542912193921457975002000860147354695763756716385364050895166515897829779405535659649576259516417493656685901669839185978748055420480549356512872561579552955072629697414859481328987392069016487650731627006494988311138883120387741303611473215550320255758755528866320269233107569911364554616791045237490859143939017263573528163709707790541292702992160489864324075617376730523269164786766727089808269945655746882673107438454728446124671866768599575213662281979334186037301158934385417803976020876800646490847486145219683719059028407003104741226292169989569067526867662615448473885856348508926904330073425758858421776569948389454199864192692150830751184929560236168375391094602920241695718910788918711646773944220128510164492172432253043590348850027489047068167773868624383487982834654305028474674349184047492437452438786331909143614480335828275840619988730819602267717577838582732546166520712368191162440707399125631660396626316450356123201676716235694629925349978838131933340026210513004236042968469509460558625353203473999423470355011341638341777398907487789477745952445902159217464937195870081431817043052325346655528262527366700745346373069734831676482740001303568085610194307858629423769461933091618776853848058988254518644724799190535679659516663864952771730111738339725891158407534973529555830126372269850589252178961313104826131480219727539207912501469598398209816133148089354168050694923038741009228325349740133612562032177706191790987565964773096205282919078211147004747481314444164747948126338347883306019652840202805154981680835461413154478376752368782636372819975183464441534092311050964091256053714554058715729235230739962096650051557714018207229960174362027788334332702465217752405619883002526649005804640926894529689338371800561288255440081690604779736122508550851606660336833846785138943011777185093226547449384669570026141977858108775971024370192452037602220783862164164316972300855426962321903662247773102254996445985181863202710075775776079769824303515321435848443454261992757373735046}
15702  6034100291492226815426566443952661051997661183702002741882819934: {297977,360617,485801,533222,642101,829397,908918,922937,954101,1140917,1191604,1296377,1575701,1631032,1658582,1834911,1845638,1942708,2132344,2219318,2317828,2348201,2398887,2587695,2760208,2962601,3105234,3543317,3634744,3726101,3842335,3878201,4060457,4079078,4089087,4280367,4610802,4634198,4786601,4935604,5095675,5372342,5406495,5418197,5489050,5717717,5766928,5867177,5884024,5956757,6036415,6053188,6114810,6487794,6522464,6581801,6586860,6611477,6619527,6632632,6700457,6759737,7024742,7025984,7026101,7207622,7243698,7337772,7390358,7461711,7645097,7733237,7841500,7904232,7937702,8202101,8377144,8523257,8623450,8639801,8650804,8791431,8892261,9075701,9336377,9409800,9424287,9654101,9752822,9759748,10037120,10195311,10348140,10421215,10586025,10755794,10772777,10972277,11031135,11038016,11112184,11228201,11291760,11540117,11609247,11766544,12044544,12076601,12137275,12245417,12269798,12417768,12434595,12501207,12505458,12611935,12703230,12750137,13053943,13057301,13161878,13237362,13241995,13263568,13550112,13585577,13969989,14087032,14131047,14227622,14303801,14564730,14887450,14921514,14961977,15134322,15153077,15243876,15365420,15370997,15535712,15561257,15642677,15686671,15818104,15847911,15890394,15895915,16183637,16372015,16722868,16748201,16774997,16822675,16960863,17044262,17052664,17219078,17312035,17477676,17575157,17707817,17795367,17864940,17916902,18017050,18090998,18438504,18447017,18499577,18604601,18612422,18648490,18735701,18900148,19055936,19075098,19184247,19478582,19518101,19646418,19777301,20009897,20138837,20187210,20508103,20513222,20678201,20703797,20706628,20743317,20774442,20780537,21061301,21170391,21427204,21437928,21533024,21620460,21847337,21922997,21950600,21973397,22048937,22226102,22378188,22409530,22456315,22505908,22581507,22708450,22737158,22800377,22825301,23061824,23223604,23413195,23421077,23548735,23717237,23943927,24093638,24117669,24224652,24259191,24431318,24644191,24671224,24694425,24890357,25012804,25035701,25292515,25301417,25440902,25726468,25732735,25758101,25877801,25901717,25944552,26233311,26278262,26340720,26378357,26409795,26546674,26640700,26794804,26828201,26891436,26947578,27087317,27157817,27250140,27322037,27444518,27532601,27603832,27651783,27735631,27755127,27776438,27860548,27942182,28021397,28095834,28096768,28107782,28170448,28206677,28258482,28335544,28368377,28437557,28504675,28690601,28768742,28933622,29066816,29171954,29187621,29297290,29398125,29466617,29633310,29738297,30143657,30247478,30278201,30337204,30351018,30429663,30613301,30879282,31054311,31063958,31309647,31358000,31434823,31607801,31608864,31682203,31691754,31742584,31804757,31845715,31848437,31877487,31968840,32044601,32080450,32362838,32700168,32705331,32715317,32991087,33198904,33335801,33367915,33420857,33463337,33491798,33548201,33641050,33813062,33991637,34100096,34159637,34205610,34293878,34681337,34895032,34899268,35033237,35095097,35156748,35277750,35300777,35403317,35559972,35607797,35669487,35710407,35964945,36004639,36021223,36034601,36155897,36485984,36640948,36738101,36761050,36787689,36836342,36917417,36995695,37068122,37151558,37155497,37348767,37510457,37629600,37631035,37745657,37923820,38071891,38096297,38214858,38362608,38496540,38519032,38578997,38694101,38813215,38895135,38904377,38961557,39246377,39256911,39341942,39462243,39622330,39660857,39922601,39929708,40041498,40138240,40275317,40369260,40478201,40812447,40935701,41046732,41062976,41135417,41189717,41235115,41350598,41407864,41460137,41488144,41585717,41674220,41688595,41705554,41942357,42119477,42245187,42260597,42333300,42366101,42383657,42422102,42463675,42608824,42628601,42698297,43044857,43060544,43062101,43112995,43157934,43183142,43216937,43333911,43422377,43507637,43716595,43829801,44065337,44113260,44332601,44394834,44578303,44680277,44900788,44906890,44910101,44975477,45005944,45057017,45155520,45157242,45170837,45183439,45260290,45338335,45444662,45508584,45594278,45734057,45793635,45877301,45921604,45940757,46080415,46177577,46195848,46209017,46575858,46583847,46674162,46786022,46815701,46831097,46907957,46919032,46969301,47054144,47546796,47635384,47668450,47934927,47962997,48085167,48165888,48293428,48388601,48409622,48443112,48446777,48533801,48589624,48597115,48735737,48846544,49197235,49280511,49305604,49374197,49384951,49482138,49541717,49666601,49725062,49887017,50009064,50010101,50019064,50026314,50078201,50159657,50595542,50631687,50684847,50799960,50956410,50958377,51197157,51208504,51346937,51458890,51735594,51748118,51787351,51853817,51891317,51970329,51992068,52202444,52286837,52323497,52408757,52459914,52463798,52665135,52757801,52783911,52871032,52935912,52947497,52954460,53111801,53332277,53355317,53470037,53572601,53589807,53601398,53730857,53798201,53888268,54004699,54036195,54075701,54141557,54155738,54186624,54307263,54307718,54312348,54327604,54353504,54406002,54455801,54498501,54551957,54663327,54870182,54952362,54978115,54992117,55016511,55145897,55296498,55297877,55447450,55537301,55625897,55694357,55748643,55767295,55781801,55839737,55868597,56011817,56176144,56209301,56260197,56271447,56403257,56423032,56430677,56530601,56674217,56682278,56743274,56754101,56820662,56979508,56981237,57042440,57149955,57202140,57345017,57435701,57556015,57606137,57609567,57638201,57638608,57709877,57721783,57948247,58035797,58141301,58142895,58311544,58316538,58356571,58358335,58405397,58476917,58498217,58533557,58575701,58667275,58699399,58748201,58788857,58948601,58957311,59007317,59036682,59116457,59135477,59141801,59229497,59266601,59394197,59412137,59418101,59441515,59471417,59479911,59534600,59552901,59593301,59693462,59761301,59869301,59890517,59948201,59994677,60070697,60202997,60217337,60222101,60233462,60250517,60287957,60292601,60315701,60320297,60350479,60368102,60388277,60450101,60489017,60618101,60662057,60677801,60701177,60731897,60824597,60846101,60863801,60884777,60935957,60959952,60978857,61015616,61042217,61078697,61105301,61116917,61136632,61147692,61159337,61315577,61369877,61386197,61444601,61463477,61484537,61501301,61530617,61542101,61570601,61585301,61594937,61597397,61612601,61628597,61637417,61637717,61750668,61841464,62019088,62370422,62553604,62596911,62730668,63198162,63475911,63483832,63545352,63683290,64152700,64172745,64429354,64547770,64730438,64745247,64769050,64843434,64896403,64940727,64965795,65119238,65600487,65919602,65973738,66292024,66536940,66920754,66976425,67043798,67459384,67573352,67678118,67687395,67812415,67930838,68450928,68579946,68642568,68778711,68814434,68867323,69067218,69296848,69310502,69363151,69424450,69435062,69571647,69771474,70030002,70033711,70055702,70179398,70187275,70251303,70306071,70400730,70549930,70599788,70972736,71041238,71329818,71338015,71419311,71441520,71488521,71553028,71761695,71774342,72017558,72187204,72199888,72260198,73037167,73117635,73512700,73767604,73823318,73967032,73981930,74397748,74418038,74549487,74574920,74578527,74661304,74712388,75094112,75224743,75362102,75378667,75655615,75891807,76020021,76204288,76396125,76413158,76419948,76545808,76685947,76983240,76992038,77007294,77063727,77077675,77149570,77222889,77365340,77432632,77457324,77722860,77910758,77958954,77992144,78064231,78197511,79543867,79844328,80055782,80167238,80257731,80371710,80389718,80984515,81046315,81061820,81224874,81374898,81489200,81691183,81821798,82031032,82115456,82257542,82459690,82484788,82756531,82783210,82904384,83122118,83212911,83309340,83366530,83369050,83896785,83993967,84167395,84224730,84480876,84507398,84659916,84718358,84916450,85605618,85729824,85928659,86075558,86114034,86158407,86214970,86385302,86606145,86796278,87000902,87059704,87111711,87544495,87667204,87741162,88116038,88215240,88277695,88291658,88425784,88538511,88581535,88778316,88863296,88890607,89114678,89489904,89615240,89632315,89724147,89805158,89824869,89839712,89903222,90391382,90470584,90488582,90500025,90682471,90786738,90972422,91574068,91648172,91675350,92211100,92213558,92283832,92284911,92308022,92379888,92402342,92493210,92579484,92838408,93092275,93267432,93615398,93657604,93891878,94096256,94170860,94804118,94812223,95137204,96025639,96348664,96446052,96533360,96760358,96841435,96847622,96910268,97021718,97176415,97181418,97209831,97255578,97274184,97368182,97677591,97696879,97787040,97883558,97942167,98373304,98381890,98597944,98659424,98675295,98730998,98757274,98950468,98951628,99242145,99339852,99479007,99705991,99728918,99877125,99971208,...,17891518535933839791574421882964455346897227851624176431163762923584293922927828138053198290670069957280449572500783343234883082926956004640633109809315830655979417852746753034378594006310088840043526229520357795413410958211799904350808927185598990758662055785488121867212124008861263054198469130744708762349435549121071051166006817555894591423885913752789615854514202203395305166961982922277406232508352043946042359479021870619708108697938027869315276414332622124303259499986477647007567953607855314368290882186962503001290221032043645635074578046076342749773846744669108303489474364389274626240485028852504758778968122083130720824034769308842369329432608944546122289221993481088103524731476097440509742482466708324680581611955417209823325480383638133293299480403849661354867046831925186567856236288715908525895360292245564561685811939054488240734796486113426065095784903747180150090634712404918483620324009661157682092669187007800152899362820493422969001279055951738401578126705964031315200969736271229217829525578588542610504657111839438254984353601290301493923172710828784522763390356495110138638287632664854922584181299796289038226246126777394340354252563086641904380362543578366183378067470160916330192765246738258648379565385523275041233570602251660802936575231974251981457542712011523776071238656178658179497863715421720503742413760929983096229403401576366757874098819249781068552286743661061098688447490594939474675534184802515074353541944888024968257197900010039315769506354064452704264190837938029805210999135205532517012457512666098361231684216618928668853238826197405793805122147725564578488019983292393791050051118019559604602247514724110001955352128415291461787944135654192899637428165280772088482381777967087198785803519489274995797429157595167607509588836737611302460294333745189558404775883878268441969657239197220329591308811868752204397597314724199722134031252076042384558111513842488024610200418843048266559287686481348947159644307924378617316720507121221971666247121922189507521824959029479260304207732472521253192119731717565128553173954559229962775196662301138466576446136884080571831088073593852846109943144975077336571027310844940261543041682501499053697826628608429824503789973508706961390341794534007557700841932383160122535907169604183762826277409990505250770177708414517665777639839821174077004355039212966787163163956536555288678056403331175793246246475458451283140443482855493371659653382494668977772794804065113663664119654736455272982153772665181392989136060602569}
15703  6060763642779280241044362127111573193237969120468292875157255014: {799833,1363377,1427153,1489505,1787406,1865801,2038790,2242097,2415182,2428385,2446548,2487873,2665430,2768457,2897285,2914062,3180401,3198516,3328977,3450260,3476742,3794318,3870737,4140312,4543430,4657851,4684433,5046062,5060441,5148521,5340401,5452116,5707156,5803553,5904197,6118617,6147736,6169505,6550478,6843857,6916203,6926582,6951297,7208660,7330001,7355030,7401977,7403406,7566485,7927502,8058513,8153080,8233575,8290790,8340917,8650392,8746673,8782480,8826036,9055526,9079782,9172215,9557873,9658264,9723161,9731691,9783696,9801875,9843221,9880290,9948948,9991718,10295726,10471430,10537113,10538976,10811433,10813505,10865547,10999841,11006658,11085537,11157737,11435033,11605622,11721908,11762250,11856348,11906553,12185897,12199685,12246902,12326153,12393797,12542057,12546400,12565716,12778697,12935175,12976206,13312193,13593748,13797520,13840841,13890230,14063057,14114700,14115398,14416337,14629233,14639622,14708180,14802062,14921081,15031001,15055680,15478996,15522210,16059392,16133691,16174862,16557024,16579460,16668276,16673944,16679702,16839953,16937640,17608790,17649816,17790041,18050357,18066816,18404697,18626652,18684017,18758187,18841396,19054845,19113302,19206775,19419640,19683926,19742817,19772630,19856043,19895352,20179096,20325168,20833457,20875766,20903585,20960201,20974118,21130548,21187192,21315830,21341433,21396101,21587321,21675953,21806342,21847095,21913457,22078277,22312622,22331175,22382271,22614484,22701483,22865814,22867142,23048130,23303568,23625185,23727156,23819920,23835591,23974886,24153353,24368678,24396878,24584672,24602777,24649142,24793601,25084302,25433464,25566393,25578996,25662017,25813601,25828617,25883285,26195224,26204153,26216514,26311526,26496977,26620982,26784005,26797410,26875353,26916280,27025575,27136497,27161441,27285833,27438250,27536297,27657756,27699256,27774761,27918633,27972735,28100657,28122518,28132385,28227188,28347017,28350222,28498382,28583904,28612647,28827280,29029505,29049041,29217873,29469627,29837584,29903777,30102917,30108676,30280815,30324401,30492017,30533153,30546758,30769833,30839030,30882401,31059942,31161663,31266005,31476806,31925236,32140806,32156892,32158085,32299536,32345588,32430690,32901713,32925900,33027317,33300875,33339153,33493505,33567282,33591881,33614295,33704153,33758862,33914177,34062675,34070081,34105737,34337801,34504790,34592736,34765673,34825685,34835406,34977748,35120960,35213060,35419430,35568353,35855248,35930104,36094097,36140457,36231881,36302126,36333520,36336978,36646977,36682382,36869044,37006836,37282721,37363238,37461112,37519206,37677976,37921505,38161353,38589702,38881973,38916828,38978726,39018101,39197500,39380201,39417393,39511080,39579737,39677573,39678230,39728918,39820011,39961050,40192206,40337154,40421367,40468024,40572884,40875210,40960601,41054153,41166777,41172376,41405748,41498630,41664657,41680961,41746196,41790822,41913273,42143751,42145152,42161673,42255672,42387723,42389966,42503316,42515921,42625120,42740726,42993497,43153113,43346342,43400433,43600224,43607108,43618790,43624085,43757931,43766681,43945935,43988116,44026022,44449965,44807441,44838833,44841038,45371217,45505806,45526527,45607480,45801185,46027397,46262153,46317041,46318923,46595937,46875664,47037000,47404775,47413296,47537631,47554958,47559316,47613876,47855393,47953260,48006257,48012806,48120675,48148790,48544257,49050252,49154126,49370153,49684577,49711817,49798356,49912135,50172800,50237697,50377457,50433782,50461575,50473337,50719593,50832533,50943398,50953144,50972462,50984657,51022601,51150144,51308415,51328720,51440817,51759830,51860180,52092775,52342548,52348902,52511078,52616324,52735122,52744913,52916625,52928657,53261030,53339958,53388664,53465273,53494553,53512022,53825680,54111281,54266702,54416596,54503177,54564662,54728976,54961422,55141575,55254513,55335233,55392662,55502213,55548353,55602183,55679822,55727337,55877141,55929401,56083217,56125985,56224097,56257430,56326916,56444400,56885730,57322287,57402005,57543912,57744810,57778548,57976901,58005521,58648790,58817680,59012913,59026961,59126683,59193112,59433495,59544230,59799878,59894562,60062247,60207360,60209656,60366785,60553890,60634742,60678112,60737030,61058180,61082318,61393553,61570098,61594464,61598081,61632005,62025897,62031257,62101144,62111796,62232216,62511330,62523830,62558331,62569013,62853857,63112001,63174902,63352133,63395728,63499950,63633153,63839897,63913236,64010630,64113556,64221184,64244918,64590816,64721153,64736901,64774713,64990085,65253055,65328641,65508257,65705657,65707348,65800262,65976184,66088790,66089777,66169890,66193075,66592251,66678752,66701752,66853286,66977582,67146662,67351182,67360335,67508916,67572737,67579796,67733280,67735863,67753553,67828022,67890435,67909505,67941880,68166993,68243126,68262876,68391417,68401577,68882406,68951726,68980792,69293772,69328757,69522422,69863787,69889241,69946552,70011243,70179033,70220180,70378548,70528790,70581216,70713497,70720001,70933481,71224385,71303050,71320194,71453076,71502675,71549777,71777153,71851024,72048260,72248832,72409684,72416464,72440142,72541336,72614433,72664668,72678617,72884436,72887537,72889430,73269816,73320497,73355348,73728664,73958406,74223207,74331524,74418250,74587593,75013596,75028596,75039471,75330041,75477638,75881102,75893313,76177241,76199940,76213553,76269520,76420790,76434615,76812756,76958102,77188335,77301830,77372561,77412878,77523860,77603391,77622177,77724182,77755384,77892518,77988102,78062966,78192005,78303666,78413335,78609748,78689871,78695697,78715576,78775217,79161761,79306548,79354790,79361537,79403868,79431690,79701557,79855361,80190875,80402097,80439446,80642297,80748353,80832402,81233607,81241358,81279936,81322757,81380417,81461577,81468522,81491406,81530256,81609003,81799733,82305273,82334224,82428543,82811177,82865030,82883126,82944747,83171175,83181137,83394377,83462548,83567237,84264216,84305081,84324230,84466690,84634548,84727136,85023417,85114911,85230993,85254158,85469262,85496177,85563660,85578377,85681697,85803210,85970657,85975958,86076641,86273201,86326996,86457912,86587636,86621060,87467316,87474807,87934421,87964984,88249735,88555023,88627553,88715920,88961717,89227672,89260622,89301900,89441285,89540193,89682617,89694041,89780357,90234005,90249860,90350193,90499253,90552153,90839057,90848942,91235702,91250822,91267904,91439928,91523424,91559153,91651313,91704948,91721538,91890875,92089624,92096942,92209505,92458790,92626002,92762196,92889643,92997185,93009206,93028632,93218650,93326630,93373336,93390485,93555633,93668404,93741428,93830406,93867640,93926822,94096002,94442657,94797243,94975001,95106424,95225748,95255360,95318028,95452937,95524935,95575241,95682260,95698502,95748101,96028601,96029801,96229050,96644031,96706675,96790790,96804281,96821655,97015217,97095657,97099733,97153575,97265151,97490180,97493078,97678857,97939382,98313782,98623001,98879403,98960607,99170693,99307793,99378977,99399316,99438036,99554126,99766601,99805410,99921617,...,23855358047911786388765895843952607129196303802165568574885017231445725230570437517404264387560093276373932763334377790979844110569274672854177479745754440874639223803662337379171458675080118453391368306027143727217881277615733205801078569580798654344882741047317495822949498678481684072264625507659611683132580732161428068221342423407859455231847885003719487806018936271193740222615977229703208310011136058594723145972029160826277478263917370492420368552443496165737679333315303529343423938143807085824387842915950004001720294709391527513432770728101790333031795659558811071319299152519032834987313371803339678371957496110840961098713025745123159105910145259394829718962657974784138032975301463254012989976622277766240775482607222946431100640511517511057732640538466215139822729109233582090474981718287878034527147056327419415581082585405984320979728648151234753461046538329573533454179616539891311493765346214876909456892249343733537199150427324563958668372074602317868770835607952041753601292981694972290439367438118056814006209482452584339979138135053735325230896947771712697017853808660146851517716843553139896778908399728385384301661502369859120472336750782189205840483391437821577837423293547888440257020328984344864506087180697700054978094136335547737248766975965669308610056949348698368094984874904877572663818287228960671656551681239977461639204535435155677165465092333041424736382324881414798251263320793252632900712246403353432471389259850699957676263866680052421026008472085936939018921117250706406947998846940710022683276683554797814975578955491904891804318434929874391740162863634086104650693311056525054733401490692746139469663352965480002607136171220388615717258847538923866183237553707696117976509037289449598381071359319033327729905543460223476679451782316815069947059111660252744539701178504357922626209652262960439455078415825002939196796419632266296178708336101389846077482018456650699480267225124064355412383581975131929546192410565838156422294009494962628888329495896252676695766612039305680405610309963361670922826308956753504737565272745639950366928883068184622101928182512107429108117431458470461479924193300103115428036414459920348724055576668665404930435504811239766005053298011609281853789059378676743601122576510880163381209559472245017101703213320673667693570277886023554370186453094898769339140052283955716217551942048740384904075204441567724328328633944601710853924643807324495546204509992891970363726405420151551552159539648607030642871696886908523985514747470092}
15704  6087543886865387598163130591720712247550725246592618617530475174: {579679,595954,673423,721234,954223,971602,1066444,1284202,1513879,1606903,1658794,1817836,1845874,1908202,2281834,2383208,2533183,2592754,2681109,2993623,3058185,3151402,3262064,3269023,3317164,3622773,3669822,3691276,3885416,3998145,4264688,4273279,4312825,4371093,4438636,4635656,4696402,4797774,4817383,5088463,5175390,5215113,5379269,5520416,5691477,5718463,5925202,6076879,6210468,6612343,6815145,7056583,7086634,7133945,7269488,7410679,7452202,7569093,7684670,7756402,8120914,8158156,8178174,8450981,8560734,9010825,9221604,9250783,9268396,9511063,9573202,9684223,9825717,9871208,10115863,10191350,10373983,10389873,10744684,10812990,10836394,10978100,11032545,11105109,11314879,11435434,11533856,11734354,11768048,11891253,11913514,12072830,12106376,12229620,12436185,12667903,12975588,13003279,13044928,13086943,13163602,13173720,13222954,13239054,13265264,13400914,13420879,13519474,13583289,13619673,13836679,14049484,14051968,14052202,14250679,14415244,14487396,14580583,14589701,14652385,14675544,14780716,14820435,14923422,14987577,14991343,15290194,15400303,15443589,15466474,15683000,15707145,15808464,15875404,16404202,16509987,16754288,16777303,16992185,17018143,17046514,17246900,17279602,17301608,17408433,17418103,17582862,17643375,17656709,17784522,18151402,18370353,18385225,18538793,18672754,18685879,18764503,18819600,18848574,19308202,19348745,19464309,19505644,19519496,19780063,20074240,20321863,20390622,20696280,20706703,20724325,20835345,20842430,20858101,21089743,21172050,21173097,21511588,21545554,21698863,21944554,21959433,22062270,22076032,22203093,22224368,22254281,22456402,22528879,22583520,22828543,22920821,23080234,23218494,23283315,23533088,23551745,23720623,24089088,24153202,24236849,24262293,24274550,24309583,24490834,24539596,24821143,24835536,24869190,25002414,25010916,25019553,25039303,25223870,25401463,25406460,25500274,25905463,26107886,26114602,26323756,26413185,26474724,26483990,26527136,27100224,27171154,27326023,27536623,27606679,27939978,28174064,28262094,28268105,28455244,28607602,28669953,28717783,28992679,29124953,29129460,29525889,29658945,29774900,29843028,29923954,30268644,30306154,30487752,30684679,30730840,30741994,30751423,31071424,31122514,31285354,31313649,31373342,31438841,31461177,31636208,31678279,31695822,31780788,31791830,31973745,32331679,32367274,32709513,32744030,32778473,32968229,33234343,33445736,33468933,33496402,33549994,33616879,33645350,33921726,34088524,34105328,34298721,34300713,34438156,34572195,34624070,34811143,34955352,35150314,35283985,35409521,35415634,35429263,35590734,35729880,35833804,35962329,36025829,36034100,36100879,36181996,36553017,36595317,36643903,36877008,36894034,36973713,36999154,37209202,37224844,37296980,37471402,37626453,37635845,37800296,38111872,38121703,38150196,38368494,38757679,38957164,39036202,39271543,39292836,39324771,39467289,39554602,39667183,39891679,39906545,39931473,40019794,40170679,40196115,40277674,40374420,40431985,40503103,40668343,41016206,41026444,41051383,41157375,41214463,41356402,41407594,41413256,41484823,41486634,41548884,41561074,42122602,42183777,42340782,42390583,42525333,42550937,42747573,42854408,42875856,43066048,43069183,43120879,43240920,43633879,43694674,43722185,43837063,43845994,43901200,43946794,44016325,44097874,44389879,44452204,44584001,44687743,44756376,44819060,44912630,44994053,45011816,45163014,45416900,45474316,45600754,45650602,45820137,45853279,46086305,46123648,46258545,46447208,46589913,46715081,46826390,46839103,46842154,47023279,47097470,47215209,47434474,47658823,47887854,47971303,48148279,48187276,48211209,48235338,48324103,48449304,48518382,48646035,48758623,48862636,48996875,49288382,49342448,49388850,49780714,50025608,50059879,50071402,50350923,50464879,50585030,50602834,50638293,50716105,50881804,51019783,51214543,51445879,51452936,51465470,51516202,51755602,51757185,51793973,51803434,51889104,52182745,52253109,52345303,52418383,52466622,52556524,52681440,52683449,52756714,52819590,53093348,53129145,53133343,53238103,53281400,53480023,53589608,53656402,53782872,53895156,53953279,54118879,54174634,54315634,54338501,54453189,54500280,54505467,54508885,54644074,54763279,54889036,54985145,55023573,55065202,55207664,55303566,55378879,55471262,55510254,55552876,55721096,55792663,55821679,55884364,56042794,56044857,56191668,56193536,56215564,56248279,56278809,56340896,56413354,56414383,56516964,56671088,56736754,56875114,57009350,57180679,57381202,57528943,57537484,57729161,57867244,57884553,57932863,58133632,58249879,58343908,58364033,58375242,58381423,58468089,58489063,58552783,58594580,58796250,58933234,59154343,59248303,59266620,59430823,59448679,59449145,59476594,59517345,59593377,59606143,59623279,59941575,59950879,59966503,60012943,60028279,60177679,60235423,60287314,60288309,60305983,60333703,60358193,60401743,60467983,60494956,60505731,60506863,60556402,60631783,60674408,60702036,60714943,60859326,60870679,60912583,60922879,60973279,61021879,61198279,61203233,61226602,61275679,61283023,61312815,61402903,61443223,61459423,61464679,61554679,61591903,61626679,61641583,61644103,61758564,62108622,62127916,62247945,62619294,62686233,62716000,62869646,63215602,63217728,63364406,63383508,63473669,63485168,63584949,63609514,63691430,63696874,63754974,63937680,64089202,64111089,64160900,64512581,64725676,64825225,65019513,65400336,65410662,65428185,65430634,65770405,65982174,66039033,66397808,66671602,66735830,66841714,66926674,66983596,67096402,67261557,67282100,67626124,67983274,68020745,68035961,68200192,68258709,68319274,68411220,68587756,68876129,69362674,69372017,69790064,69798536,70066474,70190194,70313496,70408645,70555500,70601554,70806634,71119944,71215594,71332437,71338974,71420814,71929890,72009278,72019209,72042446,72069202,72223185,72311794,72971968,73281896,73476202,73522100,73575378,73672684,73731189,73834834,73991390,74136244,74303116,74310994,74697534,75020914,75259200,75262070,75491314,75650673,75847640,76143782,76192594,76322725,76415097,76429716,76458693,76695749,76725216,76969361,76993080,77038064,77157994,77388202,77595001,77626430,77639745,77790270,77808754,77923114,78074213,78492754,78513822,78523353,78683884,78766617,78924486,79102683,79244660,79321714,79845202,79859416,79891545,80009937,80082996,80141945,80268033,80276480,80550634,80578421,80738520,80956402,81400053,81624894,81701669,81846993,81871402,81974633,82093464,82125952,82134185,82270834,82379434,82442133,82470230,82701196,82767113,82815728,82920274,82976288,83088993,83171434,83218121,83348440,83377190,83411108,83519733,83884714,84238954,84386145,84474745,84490374,84521194,84666600,84732202,84767314,84844204,84853681,84927350,85217648,85257202,85328595,85396594,86089714,86121088,86124202,86225990,86315868,86366284,86433874,86617215,86667822,86844754,87015274,87433190,87659602,87775225,87973185,88130674,88226520,88665202,88789668,88901969,89156606,89316345,89360554,89699817,89801576,89813780,89820202,89841843,89950954,90011888,90060325,90114034,90311040,90314484,90341674,90366878,90512105,90520580,90676670,90830835,90889324,90952113,91017168,91049893,91105545,91188556,91468114,91587270,91623477,91694185,91754602,91843208,91881514,92160830,92355147,92355154,92391696,92418034,92914405,93151716,93167694,93348324,93572044,93631402,93662194,93766995,93785745,93815914,93838064,93938602,94108288,94762353,94937381,95093592,95249925,95270768,95336900,95869854,95925994,96015945,96037913,96170334,96331776,96367377,96586856,96777202,96819244,96886224,96893554,96904825,97067602,97179248,97194230,97471474,97693088,97803173,98262185,98394470,98561022,98611208,98700393,98748394,98769902,98964276,99083434,99133185,99254835,99333202,99450124,99774034,99873221,...,35783037071867679583148843765928910693794455703248352862327525847168587845855656276106396581340139914560899145001566686469766165853912009281266219618631661311958835705493506068757188012620177680087052459040715590826821916423599808701617854371197981517324111570976243734424248017722526108396938261489417524698871098242142102332013635111789182847771827505579231709028404406790610333923965844554812465016704087892084718958043741239416217395876055738630552828665244248606518999972955294015135907215710628736581764373925006002580442064087291270149156092152685499547693489338216606978948728778549252480970057705009517557936244166261441648069538617684738658865217889092244578443986962176207049462952194881019484964933416649361163223910834419646650960767276266586598960807699322709734093663850373135712472577431817051790720584491129123371623878108976481469592972226852130191569807494360300181269424809836967240648019322315364185338374015600305798725640986845938002558111903476803156253411928062630401939472542458435659051157177085221009314223678876509968707202580602987846345421657569045526780712990220277276575265329709845168362599592578076452492253554788680708505126173283808760725087156732366756134940321832660385530493476517296759130771046550082467141204503321605873150463948503962915085424023047552142477312357316358995727430843441007484827521859966192458806803152733515748197638499562137104573487322122197376894981189878949351068369605030148707083889776049936514395800020078631539012708128905408528381675876059610421998270411065034024915025332196722463368433237857337706477652394811587610244295451129156976039966584787582100102236039119209204495029448220003910704256830582923575888271308385799274856330561544176964763555934174397571607038978549991594858315190335215019177673475222604920588667490379116809551767756536883939314478394440659182617623737504408795194629448399444268062504152084769116223027684976049220400837686096533118575372962697894319288615848757234633441014242443943332494243844379015043649918058958520608415464945042506384239463435130257106347909118459925550393324602276933152892273768161143662176147187705692219886289950154673142054621689880523086083365002998107395653257216859649007579947017413922780683589068015115401683864766320245071814339208367525652554819981010501540355416829035331555279679642348154008710078425933574326327913073110577356112806662351586492492950916902566280886965710986743319306764989337955545589608130227327328239309472910545964307545330362785978272121205138}
15705  6114441532176667886194415343274368622835709688510331178277295272: {893931,1081851,1333055,1457403,1599666,1897643,1926303,2085307,2272295,2488191,2649751,2726754,2768811,2854306,2862303,2979010,3399739,3422751,3574812,3731602,3889131,3964763,4056199,4077580,4146455,4484194,4528919,4614095,4727103,4830364,4856770,4893096,4975746,5330860,5504733,5536914,5548295,5655787,5794570,5828124,6311383,6360802,6397032,6657954,6900520,6953484,7044603,7196661,7588636,7741474,7763085,8089499,8280624,8637307,8747791,8887803,9086860,9118703,9315702,9368866,10092124,10120882,10197695,10297042,10593079,10629951,10680802,10904232,10905959,11001247,11178303,11414312,11527005,11585495,11607106,11634603,11808394,12181371,12237234,12267261,12295472,12339010,12497159,12780331,12841101,13100956,13159127,13430855,13687714,13722625,13832406,13853164,13902594,14359803,14417320,14660002,14710060,14749463,14803954,14806812,14822431,15032923,15132970,15138907,15287025,15675887,15855004,16117026,16219485,16254591,16306160,16467150,16581580,16681834,17079559,17153151,17300784,17493346,17561855,17564960,17601531,17652072,17870271,18019055,18109245,18111052,18159564,18344430,18475895,19051751,19115746,19316528,19367183,19446322,19463382,19567392,19603750,19686442,19745403,19760580,19834431,19844255,19858581,19882987,19897896,19983436,20101371,20279211,20591452,20942860,21074226,21077952,21078303,21302327,21558625,21622866,21627010,21731094,21999682,22013316,22081111,22171074,22315474,22385133,22870066,22935291,23199711,23211244,23426107,23443816,23524500,23712696,23813106,24371794,24382055,24399370,24493804,24606303,24652306,24787594,25084114,25092800,25131432,25557394,25569771,25870350,25919403,25952412,26374293,26624386,26676783,26889485,27187496,27227103,27595040,27681682,27780460,28009131,28126114,28229400,28230796,28272861,28341839,28523099,28832674,28879531,28962303,29258466,29265019,29279244,29416360,29604124,29842162,30062002,30111360,30495931,30506983,30585933,30674495,30957992,31044420,31263645,31758075,32118784,32267382,32318331,32349724,32415739,32904695,32916831,33075259,33093405,33114048,33158920,33336552,33347888,33359404,33581999,33679906,33684603,33875280,34620351,34827741,35217580,35224999,35299632,35305063,35569055,35580082,36100714,36133632,36194663,36218279,36229803,36236599,36411825,36497383,36736251,36809394,37218625,37253304,37303785,37368034,37497607,37503621,37516374,37543867,37682792,37835805,38109690,38226604,38250411,38413550,38621099,38674879,38839280,39161829,39171903,39367852,39385339,39485634,39545260,39626543,39712086,39725985,39790704,40080391,40358192,40463831,40641307,40650336,40756731,40921423,41666914,41751532,41807170,41909967,41920402,41948236,42261096,42374384,42393141,42610655,42631660,42638123,42682866,42792202,42911403,43047695,43174642,43351906,43612684,43694190,43772407,43826914,44156554,44625244,44662350,44764542,44792255,44885931,45021319,45042625,45227495,45228968,45402966,45459231,45731628,45734284,46096260,46112991,46531055,46607136,46621225,46683771,46855163,46890907,46928031,47060013,47250370,47454312,47543733,47639840,47641583,47671182,47687745,47949772,48306706,48310607,48407983,48550911,48696455,48737356,48755959,48793756,49116045,49169344,49205554,49298284,49587202,49637423,50168604,50244603,50318759,50324991,50468025,50866928,50882589,51132786,51157992,51283055,51324034,51627202,51657234,51766570,51936105,52390448,52408306,52433028,52623052,52625243,52725471,52935451,52993954,53022143,53090107,53123451,53241964,53386101,53568010,53594820,53619599,53750706,53832560,54051150,54272994,54322882,54571666,54876500,55072594,55315512,55341051,55398512,55498731,55549522,55565255,55813803,55837266,55945470,56023825,56201314,56207103,56245036,56264770,56454376,56694034,56700444,56771125,56812831,56842895,56996764,57167808,57225294,57552741,57654560,57984343,58059010,58098082,58435746,58554303,58631303,58939254,59331903,59663999,59675168,59807554,60029691,60205834,60217352,60234095,60416511,60561630,60648802,60984034,61066306,61073719,61078295,61093516,61524309,61539666,61678060,61764802,62034603,62111391,62119884,62229951,62323326,62341611,62532010,62749447,62953612,63183903,63511173,63602255,63850472,64121659,64281612,64313784,64316170,64599072,64691176,64861380,65125127,65542011,65695655,65768991,65803426,65851800,65920191,66054634,66098383,66146811,66366685,66601750,66678306,66987010,67092167,67134564,67183762,67228590,67368945,67408306,67517724,67744521,67828354,68125350,68140162,68211474,68401131,68475903,68488031,68611295,68675602,68910811,69009580,69185472,69441095,69531346,69651370,69670812,69855455,69876989,69955496,70239585,70241920,70263231,70269455,70426120,70646205,70838860,71136706,71151711,71710496,71831781,71860208,71921855,72047783,72188194,72280914,72334055,72353007,72361883,72463762,72604252,72667040,72673956,72777573,72929885,73027159,73243225,73293954,73364764,73738088,73932573,74013672,74083275,74281831,74565442,74671071,74726476,74922224,75038412,75107103,75355952,75447151,75618695,75843010,75877545,75904251,76322706,77179404,77198205,77246543,77274303,77633403,77659895,77705151,77763946,77833656,77957452,78036202,78205979,78221099,78377083,78395000,78576379,78699933,78760402,78834786,79022160,79135071,79159474,79229385,79355146,79356460,79457836,79640022,79922100,80201125,80362807,80384412,80444927,80484603,80674308,80842734,80907095,80936048,81145768,81261951,81298199,81473451,81750420,81921202,81966111,82108306,82333554,82344752,82353787,82597803,82811496,82913911,82955349,82997260,83206893,83244503,83265381,83329314,83361922,83492392,83578183,83581644,83729495,83826546,84064191,84102625,84287502,84290304,84323346,84511344,84513499,84532655,84620031,84775446,84779932,84890171,85006632,85031842,85105131,85250240,85312671,85481452,85514025,85734695,85892911,85986994,86071803,86284807,86306226,86692684,86800866,86931223,86956463,87200448,87214216,87215159,87237580,87248170,87515862,87533362,87562863,87891870,87976232,88052044,88194375,88399851,88899930,89214891,89614882,89677666,89682076,90103399,90430971,90742434,90834603,90986119,91011612,91053054,91214960,91288989,91354277,91423231,91602370,91642043,91839903,91902625,92054794,92090855,92524306,92634082,92637846,92670305,92744399,92878895,93162933,93191874,93552887,93706283,93751328,93928941,94074000,94304469,94809550,94823403,94826592,95046609,95073307,95075262,95109916,95118632,95227752,95360231,95414271,95537145,95545311,95599739,95632461,95710786,95906520,96012514,96025612,96133803,96241350,96297580,97088514,97545899,97644103,98100504,98115993,98145951,98279647,98308252,98354855,98503823,98556991,98740306,98973261,99055825,99369154,99423634,99536663,99596712,99714139,99824270,...,53674555607801519374723265648893366040691683554872529293491288770752881768783484414159594872010209871841348717502350029704649248780868013921899329427947491967938253558240259103135782018930266520130578688561073386240232874635399713052426781556796972275986167356464365601636372026583789162595407392234126287048306647363213153498020452667683774271657741258368847563542606610185915500885948766832218697525056131838127078437065611859124326093814083607945829242997866372909778499959432941022703860823565943104872646560887509003870663096130936905223734138229028249321540234007324910468423093167823878721455086557514276336904366249392162472104307926527107988297826833638366867665980443264310574194428292321529227447400124974041744835866251629469976441150914399879898441211548984064601140495775559703568708866147725577686080876736693685057435817163464722204389458340278195287354711241540450271904137214755450860972028983473046278007561023400458698088461480268907003837167855215204734380117892093945602909208813687653488576735765627831513971335518314764953060803870904481769518132486353568290171069485330415914862897994564767752543899388867114678738380332183021062757689259925713141087630735098550134202410482748990578295740214775945138696156569825123700711806754982408809725695922755944372628136034571328213715968535974538493591146265161511227241282789949288688210204729100273622296457749343205656860230983183296065342471784818424026602554407545223060625834664074904771593700030117947308519062193358112792572513814089415632997405616597551037372537998295083695052649856786006559716478592217381415366443176693735464059949877181373150153354058678813806742544172330005866056385245874385363832406962578698912284495842316265447145333901261596357410558467824987392287472785502822528766510212833907380883001235568675214327651634805325908971717591660988773926435606256613192791944172599166402093756228127153674334541527464073830601256529144799677863059444046841478932923773135851950161521363665914998741365766568522565474877088437780912623197417563759576359195152695385659521863677689888325589986903415399729338410652241715493264220781558538329829434925232009713081932534820784629125047504497161093479885825289473511369920526120884171025383602022673102525797149480367607721508812551288478832229971515752310533125243552997332919519463522231013065117638900361489491869609665866034169209993527379738739426375353849421330448566480114978960147484006933318384412195340990992358964209365818946461317995544178967408181807707}
15706  6141457089333213988137307612207191934016636887285265590865811905: {360709,923173,1159358,1191908,1346846,1442468,1908446,1943204,2132888,2132953,2399499,2568404,2779333,3027758,3213806,3317588,3605209,3635672,3691748,3696613,3816404,4061509,4090131,4281459,4468515,4516009,4563668,4766416,5066366,5096975,5185508,5329573,5362218,5597403,5987246,6037955,6116370,6302804,6405253,6524128,6538046,6634328,6663575,6726291,6761509,7245546,7285155,7293733,7339644,7382552,7463619,7770832,7996290,8305371,8437993,8529376,8546558,8612953,8625650,8691855,8742186,8877272,9049093,9271312,9392804,9485795,9541203,9595548,9634766,9829609,9986931,9987523,10176926,10350780,10430226,10758538,11040832,11358575,11382954,11436926,11612211,11850404,12051673,12153758,12304933,12420936,12473413,12615155,12809509,13224686,13630290,13973553,13976773,14053299,14059609,14113166,14173268,14267890,14472709,14538976,14821358,14904404,15138186,15181323,15369340,15375193,15445563,15512804,16021203,16241828,16316312,16356348,16376195,16901962,16913509,17121468,17234053,17316455,17410659,17633113,17712591,18021650,18188773,18355851,18387575,18443208,18501566,18504709,18508515,18536792,18976453,19022126,19146404,19368446,19651434,19742416,19818755,20231726,20382700,20513339,20531571,20726975,20747966,20748609,20779746,20853891,21296293,21489368,21625980,21672788,21956200,21979609,21990003,22065090,22205931,22210218,22629758,22638815,22699455,22806853,22870868,23067712,23468708,23536096,23773273,23782506,23789059,23827028,23920873,24145660,24175539,24212752,24459240,24650483,24700725,24872370,24979295,25022751,25308709,25335806,25597573,25739315,25951176,25957033,26006558,26089856,26173886,26178575,26240019,26314693,26327204,26347440,26445908,26478108,26530528,26801828,26812393,26841758,27038948,27088243,27166578,27239346,27376873,27516645,27673358,27727333,28098968,28103936,28104404,28422853,28501358,28673619,28830488,28905433,28974792,29014055,29161166,29169483,29179402,29179609,29195073,29304770,29351088,29405625,29529663,29561432,29640870,29792293,29846844,29975154,29982686,30130153,30197509,30580388,30617255,30800606,30887178,30932948,30933673,31265413,31366000,31414290,31611339,31616928,31750808,31858009,32227019,32434299,32440515,32444773,32596641,32768233,32808404,32972443,32999523,33019974,33256611,33473211,33473509,33508576,33554606,33854533,33984370,34036286,34093028,34305099,34420399,34493800,34559204,34603216,34671193,34725575,34733509,34816866,34836206,35105893,35165724,35286750,35288495,35313418,35569044,35659609,35719659,36025513,36302804,36557691,36599055,36740706,36770450,36978459,37005155,37077586,37107673,37181391,37345508,37371758,37529006,37626171,37639200,37697148,37757509,38336091,38616404,38697490,38805525,38928618,39011288,39038992,39428953,39560126,39575347,39711013,39936579,40047109,40102873,40148480,40437155,40643726,40781244,41203033,41392560,41413406,41448650,41473573,41522523,41670690,41684860,41699255,41716202,42179486,42189171,42344100,42346194,42432613,43023176,43091108,43213993,43249011,43397726,43522009,43584563,43887699,43889108,43918866,44021975,44124540,44152064,44406186,44448736,44508562,44579653,44763243,44912804,44974213,45057758,45072133,45093003,45167040,45218473,45267109,45657086,45841642,46160468,46177513,46224709,46271833,46436988,46566630,46739113,46877893,47066176,47103490,47199193,47381209,47441246,47783255,47786533,48009193,48178176,48306404,48401073,48449113,48473698,48524586,48549100,48619166,48752773,48924709,48981668,49079192,49209815,49307353,49397579,49431575,49642286,49671072,49738380,49786319,50004828,50021832,50039106,50078606,50177509,50287471,50380009,50447740,50519859,50739973,50802926,50812920,51000548,51326953,51403993,51595333,51747109,51810926,51935209,52189415,52215772,52229204,52435295,52452313,52647512,52690183,52826370,52949448,52967980,53054272,53289575,53340613,53370123,53375209,53751013,54085093,54151071,54200448,54342308,54347173,54515855,54652046,55013209,55044133,55073246,55213358,55214091,55618009,55735513,55781555,55869163,55879956,56052051,56052709,56274561,56348128,56471209,56524188,56536210,56604779,56767813,56899753,56910488,57164535,57167855,57215204,57339906,57384709,57435566,57620325,57653593,57725413,57867109,57985358,58006213,58187653,58249906,58258920,58342633,58847209,59051778,59160553,59217253,59228451,59317890,59347033,59549800,59568129,59686056,59698393,59847908,59937215,60020953,60424153,60537288,60612308,60677593,60701353,60759493,60870373,60921695,60964009,60975504,60992195,61013509,61070533,61116073,61211059,61234009,61344709,61369358,61461680,61483988,61493209,61502846,61535653,61583173,61596709,61599913,61622855,61660393,61668709,61669033,61669609,62142848,62245028,62500371,62570708,62627298,62710755,62746684,62877682,62880603,62922354,63272416,63356558,63391644,63561576,63583660,63947490,64024299,64188303,64520827,64663358,64734548,64761963,65027859,65419026,65488060,65541285,65556946,65740371,65778815,65936458,66234831,66468686,66552455,66891472,66937866,66992804,66993525,67099988,67146813,67233758,67290700,67843452,68104449,68177048,68210656,68595625,68597442,68601426,68876312,69144390,69248140,69622286,69910704,70051619,70300628,70306295,70567970,70819042,70831268,70858526,70875555,71002547,71181468,71245955,71459760,71506773,71667608,71924658,72051658,72068200,72201758,72363992,72460059,73055843,73106034,73190634,73287806,73754016,73788068,73808331,73947426,73998308,74380803,74418404,74449688,74593960,74942804,75252906,75271690,75600592,76223744,76243406,76300392,76312439,76366895,76699179,76736988,76979203,76986051,77097575,77440803,77485851,77515358,77604923,77649855,77914328,78072404,78543086,78585672,78612459,78649542,78692015,78934578,79109204,79334366,79490931,79783358,79813090,79862946,80039588,80341358,80352015,80392230,80555348,80626059,80748840,80863970,81006206,81076725,81336686,81380123,81409491,81484323,81857499,81985111,82032412,82052888,82102766,82314750,82428926,82608891,82712804,82815188,82826512,82969646,82973268,83097768,83122148,83228803,83324283,83755899,83918205,84245204,84301971,84367554,84397155,84681564,84781166,84864527,85041051,85050666,85101874,85495146,85708816,85751712,85837941,86132096,86138366,86241758,86261975,86481840,87088515,87147123,87267758,87389348,87444370,87653619,87674126,87691988,87802400,87893588,88032650,88195748,88408881,88548575,88779758,88904408,89168002,89375486,89512752,89638120,89711331,89825260,89988106,90023632,90308751,90326028,90705659,90755315,90833800,90842445,90948632,90973203,91061531,91201508,91301204,91476051,91599459,91640274,91703183,91705955,91706558,92078567,92172610,92247296,92309499,92517090,92647203,92894416,93179826,93408095,93430162,93484989,93652780,93678206,93684308,93798015,94046558,94194940,94430418,94836467,94868948,95229043,95317646,95775708,95942606,96296558,96374552,96422418,96470676,96474255,96648206,96898608,97036764,97292070,97446815,97517246,97725272,97815679,97993750,98572103,98576764,98684896,98705139,98777700,99081951,99195575,99322295,99561428,99902625,...,71566074143735359166297687531857821387588911406496705724655051694337175691711312552212793162680279829121798290003133372939532331707824018562532439237263322623917671410987012137514376025240355360174104918081431181653643832847199617403235708742395963034648223141952487468848496035445052216793876522978835049397742196484284204664027270223578365695543655011158463418056808813581220667847931689109624930033408175784169437916087482478832434791752111477261105657330488497213037999945910588030271814431421257473163528747850012005160884128174582540298312184305370999095386978676433213957897457557098504961940115410019035115872488332522883296139077235369477317730435778184489156887973924352414098925904389762038969929866833298722326447821668839293301921534552533173197921615398645419468187327700746271424945154863634103581441168982258246743247756217952962939185944453704260383139614988720600362538849619673934481296038644630728370676748031200611597451281973691876005116223806953606312506823856125260803878945084916871318102314354170442018628447357753019937414405161205975692690843315138091053561425980440554553150530659419690336725199185156152904984507109577361417010252346567617521450174313464733512269880643665320771060986953034593518261542093100164934282409006643211746300927897007925830170848046095104284954624714632717991454861686882014969655043719932384917613606305467031496395276999124274209146974644244394753789962379757898702136739210060297414167779552099873028791600040157263078025416257810817056763351752119220843996540822130068049830050664393444926736866475714675412955304789623175220488590902258313952079933169575164200204472078238418408990058896440007821408513661165847151776542616771598549712661123088353929527111868348795143214077957099983189716630380670430038355346950445209841177334980758233619103535513073767878628956788881318365235247475008817590389258896798888536125008304169538232446055369952098440801675372193066237150745925395788638577231697514469266882028484887886664988487688758030087299836117917041216830929890085012768478926870260514212695818236919851100786649204553866305784547536322287324352294375411384439772579900309346284109243379761046172166730005996214791306514433719298015159894034827845561367178136030230803367729532640490143628678416735051305109639962021003080710833658070663110559359284696308017420156851867148652655826146221154712225613324703172984985901833805132561773931421973486638613529978675911091179216260454654656478618945821091928615090660725571956544242410276}
15707  6168591071158485472655393362106791940612935735052056210878443554: {1489885,1739037,1787862,1803085,1866277,2020269,2163702,2242669,2429005,2666110,2862669,2914806,2931973,3181213,3199332,3210505,3795286,3852606,4146985,4170614,4541637,4544590,4614685,4685629,4770505,4820709,4976382,4997773,5061733,5299502,5453508,5537622,5704585,5708612,5724606,5805037,5958020,6125797,6459733,6481885,6799478,6845502,7149624,7463204,7599549,7720873,7767613,7778262,7878505,7929526,8043327,8090533,8112398,8155160,8284669,8292910,8968388,8980869,9057838,9119869,9174555,9228190,9454206,9560317,9660728,9713540,9786192,9807069,9951492,10661720,10776649,10868319,10907353,11009466,11073828,11096590,11311574,11437957,11518573,11589140,11656248,11741005,11994435,12189013,12498757,12622766,12721604,12794064,12819837,12938475,13113279,13160809,13315597,13315908,13801040,13906968,13967413,14066653,14089206,14276773,14393322,14452149,14751349,14813005,15177272,15265389,15279253,15468949,15482948,15526170,15645339,16137807,16178998,16207273,16219693,16561248,16782793,17074431,17155389,17274614,17495582,17520109,17716585,17775606,18173720,18230637,18237406,18630505,18631404,18737732,18803197,18852133,19211675,19369669,19391005,19837029,20184248,20241764,20302285,20395390,20445435,20594084,21169749,21186158,21259902,21361604,21401835,21749893,21808464,21811918,22002494,22021477,22232037,22356606,22707279,22771453,22828624,22888489,23054010,23170990,23214212,23269206,23447413,23604313,23616788,23709193,23933005,24362742,24474468,24534522,24586597,24590944,24678020,24994318,25226677,25352943,25478375,25560662,25682202,25866253,26201912,26318254,26724109,26861710,27032475,27090985,27375428,27445250,27664812,27706328,27752349,27781957,27805188,28345477,28533189,28588585,28719606,28834640,28871593,29052669,29320004,29335885,29420120,29477151,29498926,29607908,29613624,29644862,29782309,29783785,30065846,30097813,30182075,30265940,30277814,30347589,30574050,31121949,31169619,31351774,31676173,31710008,32134813,32234052,32438970,32509182,32612320,32909005,32934300,33057385,33097635,33163160,33315327,33363668,33502285,33709117,33798685,33922933,33944637,34134877,34159118,34306302,34601568,34649893,34986692,35123710,35129920,35130505,35203062,35304144,35673759,35740542,36038110,36199309,36218490,36222104,36319128,36688860,36747013,36911389,36951790,37308555,37645279,37753333,37955269,38003709,38103502,38225485,38231492,38633056,38666185,38734366,38877037,38892644,38926764,38961373,39009837,39134784,39207500,39260829,39365353,39372884,39490806,39521160,39668862,39687817,39688510,39717162,39765974,39795792,39966872,40202742,40262637,40479253,40558422,40749867,40859019,41010505,41182904,41510037,41885720,42148452,42155904,42156606,42604654,42616285,42752037,42944293,43025317,43117250,43199005,43245732,43254020,43261573,43462188,43646053,43741749,43769103,43823209,43829353,43957155,43999364,44026632,44162222,44342148,44461305,44630948,44770266,44962731,44974029,45378505,45643117,45648493,45740132,45870582,46066573,46200909,46330767,46399422,46422488,46681885,46831369,46852214,46887632,47049000,47121435,47199973,47425392,47626212,47980669,48270505,48743588,48764110,48798740,48987608,49212606,49213609,49304612,49529961,49575188,49796677,50168228,50185600,50262864,50331909,50390509,50845657,50976555,51054429,51114788,51139542,51308233,51642373,51740700,51838806,51886057,51904824,52106075,52225299,52254309,52748586,52930125,52963669,52970127,53028949,53248772,53353566,53778970,53863885,54374992,54454206,54861385,55111059,55155675,55190080,55363364,55560920,55608589,55616379,56018262,56057637,56067997,56141005,56238613,56252228,56293509,56303689,56458800,56461592,56545722,56683678,56935813,57046198,57274333,57665348,57700585,57759062,57852253,57924606,58046235,58181353,58392927,58516932,58530038,58558488,58587133,58635397,58638829,58662409,58832720,59208248,59340189,59654917,59684324,60124004,60189673,60222720,60266773,60282889,60383005,60686375,60965589,60991862,61013966,61171866,61227085,61348990,61591693,61718269,61744393,61883173,61915984,61917913,62088840,62120109,62172975,62193469,62506035,62527290,62574303,62709157,62777413,63059675,63269229,63318493,63368617,63516150,63519291,63750685,64237568,64513669,64534764,64636662,64699448,64831478,65096589,65143477,65269715,65286505,65498653,65809390,65833662,65878213,65878299,66150518,66186810,66209975,66228096,66317840,66609279,66673104,66683293,66695776,66718808,66762843,66810733,67163998,67359812,67369206,67586637,67750560,67927885,67992733,68060749,68175037,68257333,68485629,68762463,68776213,68974117,69240702,69655482,69849945,70411693,70435160,70449998,70599264,70610126,70655235,71138110,71160164,71161869,71519005,71719213,71796277,72201428,72267264,72389326,72436558,72459606,72473198,72567109,72579817,72697669,72710547,72786879,72823650,72928749,72994766,73472502,73618788,73858573,74061733,74437250,74463429,74506608,74607570,74736068,74809885,74995214,75007242,75032748,75058659,75087734,75090469,75117909,75119773,75365584,75562309,75671610,75765385,76204389,76219380,76453208,76500822,76827100,76854985,77242198,77349758,77581669,77678560,77716389,77791357,77806285,78213385,78323658,78343806,78433355,78735704,78770678,78971268,79090520,79239555,79253086,79299469,79424172,79451970,79479575,79580053,79581408,79667773,80160782,80178373,80283877,80716384,80918185,80927662,81282614,81300672,81343753,81513462,81700309,81821017,81842846,81860075,81978069,82609869,82801909,82820037,82845097,83333828,83503064,83614340,83741005,83819934,83840804,83874985,83896472,84062869,84113375,84327733,84522192,84748768,84786282,84804315,84892909,85032013,85221310,85263320,85276246,85365732,85509613,85518589,85584404,85600549,85822806,85992853,86009859,86095390,86153349,86349284,86425093,86560175,86703812,86978037,87225368,87290269,87374859,87388380,87544814,87653828,87875785,88313108,88488373,88539085,88577667,88976835,88998373,89043157,89250488,89324700,89529084,89584510,89771862,90042638,90085250,90454990,90457936,90805932,90862693,90918462,91151533,91188997,91291369,91463256,91468568,91469557,91973917,92054037,92192520,92225982,92235085,92254269,92443117,92497885,92730613,92756653,92913359,93023005,93062110,93075049,93214272,93242450,93367542,93565093,93678505,93710326,93781814,93856062,93940947,94120026,94223509,94316523,94383531,94500740,94642573,94908624,95034837,95087466,95279680,95283166,95342364,95375490,95899544,95921235,96055813,96069229,96613412,96621214,96815966,96995037,97101822,97217533,97392910,97474712,97511918,97587512,97590505,97797637,98110333,98128539,98232090,98335419,98338688,98377237,98411108,98596568,98886505,98904687,99174404,99196297,99274846,99663877,99703029,...,107349111215603038749446531297786732081383367109745058586982577541505763537566968828319189744020419743682697435004700059409298497561736027843798658855894983935876507116480518206271564037860533040261157377122146772480465749270799426104853563113593944551972334712928731203272744053167578325190814784468252574096613294726426306996040905335367548543315482516737695127085213220371831001771897533664437395050112263676254156874131223718248652187628167215891658485995732745819556999918865882045407721647131886209745293121775018007741326192261873810447468276458056498643080468014649820936846186335647757442910173115028552673808732498784324944208615853054215976595653667276733735331960886528621148388856584643058454894800249948083489671732503258939952882301828799759796882423097968129202280991551119407137417732295451155372161753473387370114871634326929444408778916680556390574709422483080900543808274429510901721944057966946092556015122046800917396176922960537814007674335710430409468760235784187891205818417627375306977153471531255663027942671036629529906121607741808963539036264972707136580342138970660831829725795989129535505087798777734229357476760664366042125515378519851426282175261470197100268404820965497981156591480429551890277392313139650247401423613509964817619451391845511888745256272069142656427431937071949076987182292530323022454482565579898577376420409458200547244592915498686411313720461966366592130684943569636848053205108815090446121251669328149809543187400060235894617038124386716225585145027628178831265994811233195102074745075996590167390105299713572013119432957184434762830732886353387470928119899754362746300306708117357627613485088344660011732112770491748770727664813925157397824568991684632530894290667802523192714821116935649974784574945571005645057533020425667814761766002471137350428655303269610651817943435183321977547852871212513226385583888345198332804187512456254307348669083054928147661202513058289599355726118888093682957865847546271703900323042727331829997482731533137045130949754176875561825246394835127519152718390305390771319043727355379776651179973806830799458676821304483430986528441563117076659658869850464019426163865069641569258250095008994322186959771650578947022739841052241768342050767204045346205051594298960735215443017625102576957664459943031504621066250487105994665839038927044462026130235277800722978983739219331732068338419987054759477478852750707698842660897132960229957920294968013866636768824390681981984717928418731637892922635991088357934816363615414}
15708  6195843992688741290908162935720267808252917939047922707248170105: {454691,579827,642347,721418,736067,923291,954467,1047947,1234691,1390091,1576307,1669307,1846346,1978787,2164091,2318291,2318716,2383816,2441507,2595347,2681793,2693692,2810387,2884936,3055667,3245553,3269867,3727547,3816892,3886408,3970907,3999165,4153091,4265776,4265906,4334987,4372209,4728107,4798998,4878947,5089787,5136808,5330267,5360291,5510291,5558666,5692929,5778909,5809691,5959091,6055516,6138107,6255921,6257291,6406091,6427612,6435827,6584387,6635176,6703091,6816885,6851291,7117547,7135765,7210418,7271344,7383496,7393226,7447525,7464573,7471547,7632808,7736291,7912427,7949253,8123018,8180262,8293067,8306433,8453137,8562918,8586909,8614091,8643227,8730587,8876027,8937030,9032018,9079307,9127336,9166307,9311147,9329005,9513587,9532832,9744467,10132732,10175987,10193950,10199217,10268253,10371016,10376747,10659146,10724436,11062091,11194806,11210485,11232707,11317907,11374667,11488091,11667393,11894289,11974492,12075910,12081467,12141925,12168597,12222227,12232740,12334691,12439365,12475091,12605608,12727307,12810506,13006787,13048256,13062587,13076092,13146227,13268656,13280113,13327150,13452582,13480067,13523018,13586757,13729691,13840427,13842285,13895747,14181309,14254547,14309627,14392187,14486425,14491092,14570310,14584547,14587466,14679288,14765104,14831291,14927238,15241091,15404507,15541664,15649091,15893027,15902005,15992580,16298147,16514199,16610742,16644885,16755107,16875986,16967361,17022827,17058752,17093116,17225906,17251300,17383710,17484372,17661217,17754544,17794691,18098186,18191291,18428387,18542624,18586091,18691067,18743507,18785608,18822107,18934149,18971590,18979091,19005227,19082406,19191096,19269532,19353685,19526267,19604147,19659218,19785587,19973862,19975046,20353852,20378987,20701560,20789291,20860452,21133809,21146627,21451667,21517076,21589983,21704987,21932291,22058291,22081664,22585307,22717150,22765908,22835027,22873852,22909787,22926673,23034227,23224422,23282507,23289255,23422165,23700808,23776667,23801291,23924291,24103346,24243037,24268497,24307516,24316547,24609866,24755387,24841872,24876827,24946826,25046507,25230310,25302205,25408787,25619018,25742605,25841147,25911921,25960787,25984691,26243373,26247107,26449372,26663409,26702005,26816291,26839907,27169691,27260580,27263627,27356109,27380867,27404291,27544667,27614747,27731387,27746257,27754691,27871091,27947106,27953546,28106598,28119218,28226332,28346536,28357787,28450091,28535780,28703267,28932587,28945418,29017765,29046947,29077952,29132389,29520985,29642716,29808808,29954627,30157091,30276372,30291707,30362646,30470747,30593085,30693827,30738680,30750386,30805067,30847525,30891126,30938291,30960467,31025608,31292147,31622027,31687787,31694341,31731587,31779237,31889853,31928291,32042406,32059067,32124347,32384747,32483656,32579291,32632624,32665547,32712696,32717877,32752390,33003741,33244427,33350987,33534909,33542291,33627107,33803924,33827018,34175291,34219285,34242936,34468106,34581015,34632910,34697291,34756485,34821318,34821827,34903809,34971013,35111291,35193707,35266226,35419691,35425182,35542547,35624291,35807747,36018433,36031091,36035041,36043300,36051347,36112067,36152507,36334091,36377546,36544113,36650005,36711702,36775150,36801783,36886416,36934691,37003132,37009418,37009885,37014227,37017030,37073584,37232291,37311347,37409987,37491477,37822091,37832425,37952906,38044252,38086477,38230667,38292808,38308091,38340993,38481827,38523303,38597291,38712467,38736892,38769947,38980091,39265091,39302868,39477381,39484832,39637510,39717347,39736091,39848387,39941747,40183547,40220627,40292565,40294691,40463452,40497707,40552907,40619677,40681427,40765400,40937291,41010107,41026678,41063142,41167875,41209691,41227787,41453950,41495932,41497218,41498267,41559492,41704585,41707782,41909507,42351707,42439547,42457091,42592586,42823667,42864157,42978736,43079409,43135067,43238291,43251960,43345576,43648307,43733365,43902227,43912400,43959218,43980006,44087291,44130180,44187827,44248389,44404667,44411862,44420436,44437907,44467293,44653187,44752091,44981747,44998091,45098769,45259516,45277630,45398910,45416721,45420227,45613706,45741736,45861075,45868787,45900587,46106507,46135424,46201091,46279691,46295387,46747091,46885907,46937416,46978091,47027661,47039387,47072192,47222507,47525147,47546546,47565012,47578118,47654056,47675267,47789365,47809691,47841746,48017507,48032291,48291320,48351078,48413867,48425504,48457547,48472091,48615805,48631547,48658455,48763773,48775667,48847427,48918480,49009375,49033067,49216105,49300966,49330091,49401450,49403893,49456307,49692947,49734467,49744740,49817291,49899827,49958590,50045502,50077667,50104907,50145707,50617418,50671612,50749067,50762291,51038147,51195146,51233027,51238677,51336227,51349091,51413291,51426107,51459453,51478630,51509029,51807217,51869627,51902352,51914066,51919691,52013116,52056707,52106291,52179712,52347772,52352291,52357150,52461947,52480038,52629386,52654408,52685565,52694880,52727267,52787027,52804593,52822787,52891816,52956216,53012291,53061056,53071091,53176427,53362091,53534291,53603656,53610813,53624786,53659427,53683516,53828507,53973587,53995787,54057165,54067525,54077896,54106307,54139307,54176486,54205091,54327735,54333156,54478692,54529691,54689291,54753746,54805187,54999205,55033290,55054691,55064987,55208291,55346716,55420307,55427685,55454666,55599227,55643533,55697507,55756091,55788685,55843427,55862747,55901291,56197936,56207872,56208808,56270387,56288987,56409107,56464091,56612017,56779091,56787947,56814467,56845706,56911091,57002716,57049907,57155253,57175165,57220547,57347238,57379691,57470507,57495107,57552227,57660976,57665291,57673307,57697307,57745091,57784691,57810866,57855467,57949584,57971987,58018091,58028110,58101549,58199627,58288667,58322332,58338966,58354691,58358804,58359218,58378957,58390146,58420067,58534691,58570091,58609540,58682027,58702176,58811250,58838377,58939667,58985867,59005547,59044691,59059326,59102867,59122864,59173091,59179427,59198387,59229827,59236209,59281740,59304467,59322947,59384027,59450291,59474147,59503293,59532765,59539091,59562467,59575743,59584586,59648961,59648987,59693688,59716907,59767091,59800187,59908427,59950308,59965372,59977067,59987507,60039227,60064787,60110291,60257291,60260306,60304113,60304691,60355907,60374291,60395018,60437627,60529691,60659147,60715091,60719027,60837633,60862667,60887867,60898547,60905627,60916187,60929485,60957707,60988091,60998425,61001387,61021091,61084691,61130291,61156787,61160776,61234510,61240427,61266707,61316867,61401227,61411787,61489067,61494347,61543187,61550627,61552091,61559291,61571747,61579691,61584827,61587347,61591067,61599467,61601212,61616147,61624307,61630765,61631027,61639091,61643291,61651091,61658747,61661291,61675907,61676291,61681091,61684691,61685147,61774356,61865896,61867346,61968985,62530826,62710285,62732000,62828580,63222678,63233856,63234909,63501616,63716018,63893485,63906981,64454038,64675875,64868598,64881030,64889546,65193282,65536466,65616808,65944886,65999046,66039948,66243333,66513222,66560965,66896557,66946422,66947018,67017152,67109212,67155399,67709066,67968740,68072572,68186056,68610198,68805873,68840798,68893741,68987600,69118408,69204205,69206432,69342386,69451150,69467018,69599133,69633732,69672412,70060573,70211786,70278321,70315285,70331448,70573500,70576990,70626836,71138088,71319218,71439318,72051026,72081685,72605608,73065181,73115382,73146165,73198110,73409413,73481412,73540900,73818909,73956918,74010310,74155172,74215346,74362782,74605405,74691016,74743516,75058012,75155005,75252342,75278400,75394296,75515018,76322197,76672182,76709313,77232808,77394980,77611050,77758209,77857236,78022576,78077984,78094177,78857906,79120252,79122879,79150694,79422026,79873158,80030349,80034997,80094218,80205746,80296960,80668455,80874310,81287452,81390529,81562488,81681309,82406066,82785120,82788277,82826812,82897300,82947146,83045046,83341380,83369720,83398510,83432404,83912101,84027393,84199765,84358972,84378342,84688200,84692388,84818583,84865226,85025517,85290373,85389073,85569297,86046352,86182216,86271997,86427986,86498022,86638593,86795452,86886909,87044018,87169126,87775398,87778216,87795057,87837732,88043950,88249080,88304128,88812372,88897472,88950205,89017124,89159306,89526486,89825608,89948426,90115516,90144266,90186006,90251785,90334080,90436946,90534218,90717253,91314172,91487793,91520949,91683284,91714909,91757799,92023485,92090341,92320936,92355026,92449418,92543666,92873976,93133260,93173437,93420085,93478226,93755786,93790935,94132352,94206980,94398386,94762418,94848589,94882492,95274225,95566510,95573066,96018386,96033875,96176509,96356352,96612808,96802146,96898226,96947396,96954993,97049172,97098200,97238332,97247217,97505546,97849418,97963336,98158384,98419630,98428813,98614706,98714085,98750493,98795158,98863150,99225777,99280215,99284572,99342144,99476760,99572638,99744337,...,161023666823404558124169796946680098122075050664617587880473866312258645306350453242478784616030629615524046152507050089113947746342604041765697988283842475903814760674720777309407346056790799560391736065683220158720698623906199139157280344670390916827958502069393096804909116079751367487786222176702378861144919942089639460494061358003051322814973223775106542690627819830557746502657846300496656092575168395514381235311196835577372978281442250823837487728993599118729335499878298823068111582470697829314617939682662527011611989288392810715671202414687084747964620702021974731405269279503471636164365259672542829010713098748176487416312923779581323964893480500915100602997941329792931722583284876964587682342200374922125234507598754888409929323452743199639695323634646952193803421487326679110706126598443176733058242630210081055172307451490394166613168375020834585862064133724621350815712411644266352582916086950419138834022683070201376094265384440806721011511503565645614203140353676281836808727626441062960465730207296883494541914006554944294859182411612713445308554397459060704870513208455991247744588693983694303257631698166601344036215140996549063188273067779777139423262892205295650402607231448246971734887220644327835416088469709475371102135420264947226429177087768267833117884408103713984641147905607923615480773438795484533681723848369847866064630614187300820866889373248029616970580692949549888196027415354455272079807663222635669181877503992224714314781100090353841925557186580074338377717541442268246898992216849792653112117613994885251085157949570358019679149435776652144246099329530081206392179849631544119450460062176036441420227632516990017598169155737623156091497220887736096736853487526948796341436001703784789072231675403474962176862418356508467586299530638501722142649003706706025642982954904415977726915152774982966321779306818769839578375832517797499206281268684381461023003624582392221491803769587434399033589178332140524436798771319407555850484564090997744996224097299705567696424631265313342737869592252691278729077585458086156978565591033069664976769960710246199188015231956725146479792662344675614989488304775696029139245797604462353887375142513491483280439657475868420534109761578362652513076150806068019307577391448441102823164526437653865436496689914547256931599375730658991998758558390566693039195352916701084468475608828997598102507629980582139216218279126061548263991345699440344936880442452020799955153236586022972977076892628097456839383953986632536902224545423121}
15709  6223216371182512536245626456206554434874070997878037731565329642: {1082127,2085839,2524319,2650427,2769519,2898395,2979770,3276911,3367115,3400607,3465059,3478074,3575724,3606170,3732554,4040538,4327404,4485338,4494707,4771115,4858010,5332220,5342447,5657231,5725338,5805779,5829612,5863946,5906459,6362426,6374027,6398664,6398859,6421010,6460559,6678707,6846479,7198497,7569395,7590572,7705212,7986419,8034515,8253347,8293970,8337999,8341228,8629211,9074639,9083274,9089180,9229370,9371258,9541010,9561539,9641418,9952764,9995546,10123466,10599004,10778027,10815627,10907016,11029907,11075244,11089839,11409170,11417224,11439419,11449212,11610074,11916040,12184527,12190571,12251594,12270393,12665915,12783599,12844377,12919466,12963770,13317299,13405545,13548027,13572911,13598956,13612859,13691004,13969199,14068451,14299248,14926408,14968115,15036767,15199098,15290925,15441746,15470927,15535226,15556524,15757010,15859052,15988719,16086654,16181066,16224796,16310320,16345115,16437407,16569338,16585820,16646267,16784939,16792209,17936776,17940227,17961738,18057299,18113865,18114011,18115676,18239738,18349110,18456380,18908412,19120634,19215759,19321456,19383179,19427080,19572384,19614138,19902984,19990725,20178873,20284527,20738207,21070031,21323440,21366395,21553298,21564125,21736638,21814706,21855465,21881199,22018932,22147656,22193180,22390857,22623148,22875914,22891427,23037146,23178280,23312496,23482010,23789711,23988870,24068879,24086915,24378026,24612239,24803219,24865739,24916113,24997514,25245532,25313979,25442315,25443208,25588128,25639674,25704419,25838859,25876950,26075565,26082707,26226558,26321618,26381291,26631194,26631816,26839307,26896345,27147279,27147407,27602080,27630011,27710579,27813936,27934826,28133306,28178412,28357919,28423199,28457385,28553546,28567151,28592315,28623609,28786644,28875299,28904298,29488827,29502698,29626010,29960793,29962569,30354544,30384395,30530778,30558506,30628859,30937898,30965896,31052340,31290678,31565999,31680239,32268251,32275614,32357996,32414546,32439386,33040019,33061715,33122496,33506207,33565586,34075725,34148862,34310778,34351007,34549228,34836633,34991164,35040218,35282915,35433170,35551212,35669725,35741891,36155019,36347440,36461274,36474812,36914799,36916127,37053395,37261010,37262808,37420239,37475464,37606394,37704266,37845465,37927379,38423350,38428527,38726351,38739338,38782010,39033107,39594959,39674058,39893747,40024019,40090739,40368496,40483528,40604570,40790780,40890870,40983827,41070191,41070239,41188168,41697299,41920659,41930319,42159897,42178827,42254905,42339498,42372316,42519804,42723208,42803670,42855947,43418127,43499786,43616928,43623836,43834979,43996571,44004988,44042954,44464074,44713212,44728067,44856227,45054125,45414558,45447839,45542906,45543969,45657248,45776978,45987887,46045259,46072607,46108020,46125579,46253915,46280339,46336689,46341980,46428424,46538412,46852067,46894826,46903199,47208626,47233576,47318159,47418386,47555315,47727347,47866010,48063609,48087119,48421115,48725484,48948936,49069044,49128585,49173194,49181888,49182707,49356040,49988636,50453354,50579315,50705886,50740527,50956750,51121324,51314819,51364404,51581699,51702159,51732506,51869915,51949365,51975407,52231977,52403824,52412819,52607651,52636508,52752911,52899339,53137773,53448218,53515679,53723420,53948219,54064950,54132659,54181970,54566319,54750856,54890500,55067553,55162725,55329624,55412656,55504698,55514127,55525545,55563914,55610376,55615727,56574395,56690954,56704427,56827499,56929359,56943227,57066378,57177170,57414707,57439212,57669280,57743186,57859679,57990299,58105338,58640008,58671770,58840240,58924811,58954302,58997852,59215816,59227248,59289724,59333459,59456265,59564618,59567570,59662799,60131692,60195626,60290627,60364150,60478607,60531880,60555628,60695178,61148100,61224287,61540017,61594713,61599599,61891247,62180925,62243898,62245827,62339238,62561673,62593427,62645771,62703548,63302747,63339515,63352346,63420016,63529907,63679547,63864911,63888879,64269626,64468104,64877940,64938299,65016395,65018364,65052179,65224640,65354639,65434715,65533679,65818010,65868600,65938827,65970009,66002627,66114770,66195270,66326320,66617793,66630654,66727336,67004570,67104395,67270811,67287779,67418234,67578707,67597370,67845866,67889274,67916445,68098365,68269754,68318236,68420559,68612604,68773427,68785211,69183395,69203136,69239339,69299786,69533171,69973384,70162991,70247420,70259840,70261010,70406124,70608288,70747787,71253395,71319819,71347518,71367177,71481084,71586959,71762619,72076220,72398618,72436980,72444208,72526617,72638256,72681887,72902915,72948505,73134659,73261925,73377720,73494026,73628591,73685711,73822778,73903580,73951449,74102175,74617110,74937885,74956715,75027011,75068253,75290558,75321119,75327227,75409439,75506666,75910538,75926127,76007418,76147979,76207004,76243427,76450970,76462984,76616507,76792719,76805939,77001515,77088719,77217945,77266112,77332370,77407499,77468732,77754074,77785288,77853528,77871099,77922746,78019674,78269568,78415000,78521658,78535725,78597407,78720057,78730706,78745768,78944079,78958139,78981612,79042320,79337724,79375634,79377020,79434324,79531948,79591584,79933744,79988819,80300447,80405484,80437179,80525274,80780819,80921987,80958506,81116844,81118619,81264729,81280979,81499734,81718038,82021010,82130619,82365808,82549935,83020074,83181999,83213819,83427311,83771440,83886515,84296904,84311808,84313212,84469811,84536207,84960925,85090715,85209308,85232570,85268559,85504074,85717919,85888586,85915427,86020857,86050634,86234500,86398010,86436347,86491464,86508040,86523146,86523599,86716299,86924376,86953667,87042165,87090515,87270431,87292106,87483498,87508449,87538206,87538827,87585219,87646418,87658706,87914310,87998728,88053264,88216875,88283545,88324444,88588989,88684296,88922610,89250959,89261896,89376879,89540532,89729039,89925462,89948058,90390459,90592527,90757010,91286234,91296986,91377601,91401107,91447019,91480264,91687427,91741164,91851765,91926125,92015267,92133146,92401818,92591579,92661534,92693965,92798844,92801019,92804879,92844976,93363770,93429395,93662738,93704428,93775264,93796239,93822515,94098000,94242870,94399946,94756259,94834017,94850784,95099039,95252424,95574027,95961338,95972987,96541010,96592751,96681057,96743725,97053791,97137779,97302897,97321545,97334319,97487176,97528220,97597480,97789923,97975216,98304699,98425212,98427218,98609224,98661659,98900315,98917329,98998569,99059922,99150376,99347027,99593354,99769833,99844307,99944171,...,214698222431206077498893062595573464162766734219490117173965155083011527075133937656638379488040839487365394870009400118818596995123472055687597317711789967871753014232961036412543128075721066080522314754244293544960931498541598852209707126227187889103944669425857462406545488106335156650381629568936505148193226589452852613992081810670735097086630965033475390254170426440743662003543795067328874790100224527352508313748262447436497304375256334431783316971991465491639113999837731764090815443294263772419490586243550036015482652384523747620894936552916112997286160936029299641873692372671295514885820346230057105347617464997568649888417231706108431953191307334553467470663921773057242296777713169286116909789600499896166979343465006517879905764603657599519593764846195936258404561983102238814274835464590902310744323506946774740229743268653858888817557833361112781149418844966161801087616548859021803443888115933892185112030244093601834792353845921075628015348671420860818937520471568375782411636835254750613954306943062511326055885342073259059812243215483617927078072529945414273160684277941321663659451591978259071010175597555468458714953521328732084251030757039702852564350522940394200536809641930995962313182960859103780554784626279300494802847227019929635238902783691023777490512544138285312854863874143898153974364585060646044908965131159797154752840818916401094489185830997372822627440923932733184261369887139273696106410217630180892242503338656299619086374800120471789234076248773432451170290055256357662531989622466390204149490151993180334780210599427144026238865914368869525661465772706774941856239799508725492600613416234715255226970176689320023464225540983497541455329627850314795649137983369265061788581335605046385429642233871299949569149891142011290115066040851335629523532004942274700857310606539221303635886870366643955095705742425026452771167776690396665608375024912508614697338166109856295322405026116579198711452237776187365915731695092543407800646085454663659994965463066274090261899508353751123650492789670255038305436780610781542638087454710759553302359947613661598917353642608966861973056883126234153319317739700928038852327730139283138516500190017988644373919543301157894045479682104483536684101534408090692410103188597921470430886035250205153915328919886063009242132500974211989331678077854088924052260470555601445957967478438663464136676839974109518954957705501415397685321794265920459915840589936027733273537648781363963969435856837463275785845271982176715869632727230828}
15710  6250708726130115435577652347381645200575200082217644398019765681: {486049,673681,909382,954589,1048081,1159654,1284694,1442836,1472134,1607521,1700509,1846582,1908934,1979041,2095894,2349409,2469382,2780182,3086689,3152614,3338614,3692692,3957574,4183969,4328182,4365841,4469655,4636582,4637432,4767632,4883014,5180701,5190694,5217111,5360989,5363586,5387384,5409255,5598831,5620774,5769872,5810449,6060807,6079261,6111334,6436669,6491106,6539734,6614941,6665275,6703969,6728007,7287015,7455094,7633784,7772816,7941814,7942801,7998330,8306182,8531552,8531812,8588007,8644369,8669974,8744418,8795919,9341329,9456214,9488215,9543639,9597996,9631515,9757894,9990071,10179574,10273616,10426535,10660534,10720582,10892641,11020582,11117332,11361475,11385858,11557818,11619382,11744401,11918182,12111032,12252001,12276214,12440955,12511842,12514582,12757009,12812182,12855224,12871654,13060607,13092241,13168774,13248755,13270352,13406182,13624911,13633770,13702582,13844055,14056887,14235094,14271530,14311515,14420836,14462127,14542688,14668861,14766992,14786452,14895050,14929146,14943094,14993319,15185199,15265616,15472582,15694679,15824854,15898506,16246036,16300381,16360524,16586134,16612866,16784221,16906274,16998695,17113755,17125836,17173818,17228182,17286454,17415111,17461174,17752054,17823649,17874060,18061789,18064036,18158614,18254672,18332614,18377391,18457249,18614929,18622294,18658010,18772321,19007869,19027174,19065664,19379199,19445655,19488934,19823815,20265464,20280995,20351974,20387900,20398434,20407549,20536506,20732275,20742032,20753494,20792209,21175069,21318292,21448872,22124182,22162081,22262807,22389612,22420970,22465414,22635814,22644595,22749334,22798647,22913041,22976182,23070475,23162619,23302839,23334786,23635515,23788578,23804689,23948984,24129981,24151820,24162934,24271599,24283850,24337194,24393361,24444454,24465480,24669382,24758941,24854007,24878730,24904669,24950182,25211216,25412449,25454614,25621012,25988449,26013574,26096512,26125174,26152184,26292454,26537312,26560226,26654300,26843809,26905164,26942607,26960134,27046036,27095159,27173514,27267601,27359607,27408289,27459382,27523665,27618781,27680854,27684570,27741475,27758749,27791494,28278935,28362618,28385041,28509094,28619254,28680951,28730461,28784374,28972850,28982184,29074081,29140620,29169094,29174932,29358576,29421207,29530208,29662582,29854476,30482182,30497629,30765181,30809014,30965089,31083328,31298182,31556915,31626769,31758241,31786054,31804010,31985160,32235247,32329947,32596294,32604957,32722059,32791031,33028398,33221484,33289770,33441169,33510214,33568609,33751972,33934722,34045654,34117504,34186232,34264381,34313871,34429187,34451812,34502600,34555719,34577761,34767420,34889341,34968744,35199121,35223015,35322434,35423087,35445649,35509088,35589382,35983305,36039647,36056929,36178321,36196372,36382582,36567039,36721021,36856774,37020001,37085248,37172182,37382134,37382807,37487014,37496271,37571216,37644214,37671421,37847569,37868298,37943180,37958182,38010454,38164812,38382192,38459511,38539064,38707370,38815425,39052534,39176509,39208294,39290269,39318436,39339837,39482427,39571174,39686161,39742429,39946791,39947724,39950092,40447495,40522621,40577809,40624871,40707704,40757974,40962109,41125729,41234449,41329379,41403120,41578582,41720904,41902239,42146941,42199959,42267618,42293254,42358621,42464029,42567239,42726289,42830319,42903334,43034152,43142161,43179966,43186535,43356447,43409974,43706461,43738955,43864582,43909501,44116582,44163328,44211901,44254047,44439015,44759569,45005629,45011291,45170614,45434300,45444001,45531816,45593515,45636961,45670054,45747704,45796167,45819574,45837759,45853346,45876541,45971869,46068454,46303249,46406847,46448844,46565014,46578510,46584481,46844330,46936017,47001469,47401616,47548381,47553334,47602582,47848582,47906999,48040609,48206692,48413421,48480529,48486074,48536994,48615032,48621819,48633094,48654481,48659079,48870301,49219732,49254241,49465021,49510774,49683744,49753654,49893652,49922401,50093014,50348379,50460620,50532061,50604410,50771389,50817574,50850589,50988475,51047329,51086461,51223293,51238036,51310007,51358369,51435409,51466167,51485210,51512161,51682294,51813839,51823842,51891601,51921574,51969382,52374109,52486746,52494214,52560327,52898744,52965395,53149755,53302621,53326818,53404010,53475601,53544289,53632582,53679814,53680801,53883409,54182461,54339382,54521160,54527254,54529795,54540049,54636061,54691911,54699709,54712218,54761734,54808582,54826141,55006235,55075549,55089334,55229494,55462774,55492514,55509382,55708321,55742182,55854301,55883281,55891515,55894212,55907092,56213196,56238436,56409591,56452664,56475229,56556399,56693072,56715574,56799229,56900182,57061309,57071560,57215101,57240481,57391249,57406534,57588241,57635025,57636769,57685009,57804349,57865174,57890836,57927475,57968401,58035530,58093894,58109007,58155904,58173015,58264778,58386419,58504081,58546849,58589329,58838161,58958689,59041970,59115361,59191969,59210941,59285432,59468989,59486881,59504701,59511087,59617616,59661841,59780029,59909254,59942749,60005821,60067741,60143521,60173329,60275389,60314182,60373921,60387709,60547549,60552744,60583414,60636001,60725292,60732769,60802321,60874307,60880189,60906855,60941494,60954529,60964861,61083229,61173949,61186170,61226711,61326481,61336305,61387654,61415869,61428541,61477360,61487581,61500772,61509181,61558141,61567069,61607389,61610134,61646269,61676689,61681981,61691809,61695050,61782252,61876582,61920934,62051216,62189831,62485795,62584294,63244054,63375574,63388682,63463174,63509247,63558474,63779706,63856582,63901655,64084812,64118134,64205505,64248694,64769494,64967312,65158582,65249679,65265248,65331094,65425392,65435754,65504780,65760539,65795635,66007482,66064431,66488854,66696111,66701974,66905111,67069818,67084582,67154275,67254214,67607848,67654036,68062127,68121837,68314359,68350582,68438570,68485872,68613125,68665467,68902547,68936212,69162030,69265820,69394582,69512970,69642636,69643654,69807618,69942026,70222582,70342239,70387414,70532452,70812939,70839382,70850364,71085094,71127579,71248582,71615494,71799015,72036866,72062182,72070082,72086600,72102694,72224134,72305014,72668182,72755092,73088226,73300010,73423404,73550300,73603566,73747315,73759791,73772832,73869382,74006264,74018836,74019770,74028454,74034060,74112155,74147168,74464582,74622694,74819974,74982954,75164615,75644182,75664850,75680031,75694535,75905812,76058829,76088504,76172954,76435125,76461334,76585616,76616182,76681986,76963654,76998887,77046606,77194582,77424934,77473784,77539894,77598759,77624767,77960182,78104159,78379435,78530182,78605736,78954762,78969664,79275020,79434694,79472182,79696774,79883494,80045231,80172327,80367094,80441254,80585130,80589382,80926904,80995414,81097425,81105814,81239354,81272955,81362854,81530800,81874582,82020214,82053356,82126284,82335750,82419382,82455574,82798859,82907900,82991864,82994436,82996534,83118984,83257047,83345871,83409170,83415564,83819014,84703414,84879094,84914182,85036431,85185172,85301279,85397795,85599567,85647334,85728314,85765755,85957472,86158818,86270134,86283071,86476582,86503920,86614779,86691152,86756579,87158007,87296614,87466730,87794399,87804454,87809275,87824800,87918436,87960012,88007655,88174582,88260360,88375654,88431453,88496778,88809334,88823724,88840872,88875814,88934586,88950367,89306374,89346927,89351355,89450879,89504182,89963494,89996182,90095275,90197538,90293439,90519032,90546225,90555260,90797820,90833442,90840454,91042767,91227412,91483472,91722150,91737574,91801174,92213014,92270848,92379475,92402182,92559382,92590774,93185351,93365847,93494182,93508857,93771814,93874832,93956182,94055322,94078774,94144384,94445014,95028519,95050294,95093092,95130024,95156236,95258755,95308112,95350534,95578730,95619382,95683492,96035014,96064582,96188807,96404439,96582640,96702156,96827734,96835915,96851008,96885887,96915094,96944182,97231610,97263094,97316910,97527546,97551334,97694854,97836960,97840691,98018750,98066134,98432210,98441399,98601932,98660182,98727015,98802900,98807786,98912614,99172155,99221275,99292905,99385894,99414935,99468934,99489480,99634582,99799654,99917180,99945981,...,322047333646809116248339593893360196244150101329235175760947732624517290612700906484957569232061259231048092305014100178227895492685208083531395976567684951807629521349441554618814692113581599120783472131366440317441397247812398278314560689340781833655917004138786193609818232159502734975572444353404757722289839884179278920988122716006102645629946447550213085381255639661115493005315692600993312185150336791028762470622393671154745956562884501647674975457987198237458670999756597646136223164941395658629235879365325054023223978576785621431342404829374169495929241404043949462810538559006943272328730519345085658021426197496352974832625847559162647929786961001830201205995882659585863445166569753929175364684400749844250469015197509776819858646905486399279390647269293904387606842974653358221412253196886353466116485260420162110344614902980788333226336750041669171724128267449242701631424823288532705165832173900838277668045366140402752188530768881613442023023007131291228406280707352563673617455252882125920931460414593766989083828013109888589718364823225426890617108794918121409741026416911982495489177387967388606515263396333202688072430281993098126376546135559554278846525784410591300805214462896493943469774441288655670832176939418950742204270840529894452858354175536535666235768816207427969282295811215847230961546877590969067363447696739695732129261228374601641733778746496059233941161385899099776392054830708910544159615326445271338363755007984449428629562200180707683851114373160148676755435082884536493797984433699585306224235227989770502170315899140716039358298871553304288492198659060162412784359699263088238900920124352072882840455265033980035196338311475246312182994441775472193473706975053897592682872003407569578144463350806949924353724836713016935172599061277003444285298007413412051285965909808831955453830305549965932643558613637539679156751665035594998412562537368762922046007249164784442983607539174868798067178356664281048873597542638815111700969128181995489992448194599411135392849262530626685475739184505382557458155170916172313957131182066139329953539921420492398376030463913450292959585324689351229978976609551392058278491595208924707774750285026982966560879314951736841068219523156725305026152301612136038615154782896882205646329052875307730872993379829094513863198751461317983997517116781133386078390705833402168936951217657995196205015259961164278432436558252123096527982691398880689873760884904041599910306473172045945954153785256194913678767907973265073804449090846242}
15711  6278321579263204741935235255365167588791316087742118643080095595: {1364073,1739481,1803545,1927041,2164254,2208201,2769873,2863401,2932721,3143841,3704073,3872713,4057753,4170273,4171678,4615865,4713961,4728921,4999049,5007921,5048638,5300854,5539038,5796790,5936361,5959540,6127361,6313801,6492273,6553822,6679561,6734230,6801214,6930118,6954873,6956148,7151448,7212340,7324521,7465108,7532941,7786041,8045379,8081076,8431161,8654808,8970676,8989414,9122201,9167001,9224329,9542230,9716020,9736659,9809601,10151009,10597153,10664440,10664765,10684894,11182641,11248321,11314462,11450676,11611558,11659224,11727892,11812918,11912721,11997495,12206249,12459273,12501953,12724852,12748054,12785233,12797328,12797718,12842020,12921118,13004961,13116627,13357414,13692958,13896665,14092541,14184321,14396994,14636841,14755121,15038689,15138790,15181144,15269361,15410424,15972838,15990801,16040713,16069030,16080873,16506694,16530873,16587940,16675998,16682456,16907921,17078787,17258422,17336727,17429073,17732281,17877273,17942521,18026045,18149278,18166548,18178360,18414321,18458740,18483065,18597149,18742516,18767763,18771873,19082020,19123078,19218273,19282836,19307481,19672861,19753161,19905528,19991092,20109273,20246932,20307545,20450655,20553873,20955361,21198008,21208553,21352641,21407295,21556054,21631254,21663553,21814032,22059814,22150488,22179678,22342575,22393719,22414641,22434929,22580045,22818340,22834448,22878838,22883161,22898424,23208873,23220148,23737281,23832080,23847759,24021773,24369054,24381142,24503188,24540786,24879201,24919299,25331830,25359411,25484875,25488089,25567198,25688754,25760727,25838932,25842273,25927540,25929681,26191761,26272349,26628081,26634598,26647865,26811090,27096054,27145822,27197912,27225718,27237921,27382008,27498921,27933441,27938398,27987015,28115113,28136902,28540761,28598496,29233401,29535529,29547881,29852816,29912953,29931101,29936230,30073534,30189775,30398196,30527961,30581850,30597651,30804759,30883492,30941854,31070452,31113048,31130241,31514020,31718104,31719181,31977438,32026265,32173308,32272393,32362132,32449592,32620640,32690230,32874814,33138676,33171640,33186273,33292534,33317875,33569878,33584418,33631455,33698121,33721681,33807545,33953721,34124001,34464273,35002179,35318641,35619241,35682867,35873552,35880454,35923476,36114598,36227730,36228022,36231352,36244401,36425775,36468665,36479476,36505791,36666681,36698220,36912760,37004073,37318095,37425273,37654883,37816824,38181921,38206849,38241268,38344841,38431518,38636081,38642912,38689753,38766358,38854160,39020361,39144768,39187761,39228276,39438681,39641921,39805968,39840339,39981450,40029241,40357746,40440201,40569054,40646969,40760271,40937161,41189073,41476414,41521281,41526855,41687241,42138301,42140062,42189965,42538153,42543927,42646880,42732790,42763641,42928881,43064765,43106596,43128250,43176561,43459275,43473276,43629412,43657361,43710930,43753641,43762398,44037864,44081153,44295312,44386360,44493873,44587129,44781714,44946481,45245465,45246296,45636749,45723273,45751828,45782854,46074292,46213521,46286401,46356560,46624992,46858081,46947273,46964020,47428975,47579422,47679081,47706015,47977740,48137758,48173830,48756052,48894441,49001201,49148045,49224478,49396081,49542597,49606438,49731478,49832226,49934655,49937615,49995028,50265321,50491064,50627958,50884630,50886416,50902083,51019613,51068481,51176256,51279348,51408838,51677718,51753900,51874753,51899453,52151130,52165414,52453116,52643236,52762582,52983651,53262388,53263632,53342329,53384073,53640521,53678614,53792690,54294558,54294814,54349321,54573873,55204160,55260022,55285161,55421158,55627872,55758273,55869652,56073201,56230521,56266612,56356824,56466321,56715838,56792875,56802447,56846398,56855069,56914770,56937273,57015681,57107092,57134302,57184630,57247218,57573288,57750598,57808596,58061055,58578801,58579033,58812441,58977654,59005396,59078249,59156867,59252020,59356761,59687153,59921586,59925138,60258365,60709088,60768790,60781481,61061556,61117012,61136961,61241021,61257718,61425481,61524665,61875796,61931792,62104680,62367065,62367873,62581356,63075775,63131998,63360478,63401427,63439881,63687721,64047545,64355001,64471229,64536502,64551228,64715992,64755481,64769949,64829092,64878772,65114961,65268809,65796873,65895281,66080038,66123430,66174873,66244992,66577441,66966169,67012414,67131172,67296541,67483889,67755921,67789561,68078321,68151450,68297724,68505081,68621556,68702014,68729361,68780019,69098456,69102681,69638413,69673266,69847521,69867765,69883865,69982328,70080436,70266495,70298045,70565830,70750129,70811041,70866340,71102424,71330001,71339450,71403873,71483782,71772873,72310038,72363545,72390329,72617881,72694880,72729111,72805491,72922548,72925033,72949624,72949641,73144201,73438973,73627901,73829598,73832254,74106790,74266161,74522020,74525616,74630481,74840478,74950928,75139521,75212788,75408532,75476713,75690930,75854758,75906615,76226361,76241393,76712381,76846700,76857054,76875965,77227815,77452702,77478676,77523441,77564020,77735763,77882361,77954073,78066214,78251921,78483329,78730119,78741321,79189918,79204153,79348116,79787494,79990227,80048038,80106015,80181478,80448873,80519721,80721881,80736992,80967056,81209140,81291613,81329921,81509073,81581560,81781740,81790881,81880975,81967654,82068327,82140382,82140478,82142601,82212873,82376336,82591361,82634001,82844241,82866653,83194161,83238771,83264073,83394598,83611021,83613273,83841318,83860638,84319794,84357654,84509810,84567545,84678996,84744632,84869401,85039608,85073361,85350273,85446416,85607340,85711894,86109801,86170265,86582275,86797761,86836254,86999572,87053295,87083113,87140841,87233856,87247672,87397167,87669958,87993142,88009976,88085908,88165565,88189721,88562955,88675321,88928148,89426424,89456134,89712454,89728753,89863881,90108250,90471273,90546781,90829116,90875121,90895678,90943865,91022953,91085812,91087938,91314496,91412241,91553956,91608601,91779255,91937875,91975774,92081481,92090518,92145214,92216040,92251158,92415201,92507830,92523545,92542575,92560678,92668409,92673378,92683960,92814873,92856848,92881401,93076824,93546841,93704134,93743441,93789652,93806398,93876441,93946153,94417252,94467152,94636318,94704929,94836772,94866081,94882265,95063361,95083023,95110630,95194761,95337711,95454694,95669559,95732020,95784873,96127218,96174238,96177201,96373041,96605329,96842230,96856753,97154241,97450968,97737873,97897872,97996641,98138088,98153631,98257170,98266769,98346388,98363776,98365414,98542961,98595913,98712080,99011223,99093775,99500489,99733281,99754753,99977272,99978353,...,483071000470213674372509390840040294366225151993852763641421598936775935919051359727436353848091888846572138457521150267341843239027812125297093964851527427711444282024162331928222038170372398681175208197049660476162095871718597417471841034011172750483875506208179290414727348239254102463358666530107136583434759826268918381482184074009153968444919671325319628071883459491673239507973538901489968277725505186543143705933590506732118934844326752471512463186980797356188006499634896469204334747412093487943853819047987581034835967865178432147013607244061254243893862106065924194215807838510414908493095779017628487032139296244529462248938771338743971894680441502745301808993823989378795167749854630893763047026601124766375703522796264665229787970358229598919085970903940856581410264461980037332118379795329530199174727890630243165516922354471182499839505125062503757586192401173864052447137234932799057748748260851257416502068049210604128282796153322420163034534510696936842609421061028845510426182879323188881397190621890650483625742019664832884577547234838140335925663192377182114611539625367973743233766081951082909772895094499804032108645422989647189564819203339331418269788676615886951207821694344740915204661661932983506248265409128426113306406260794841679287531263304803499353653224311141953923443716823770846442320316386453601045171545109543598193891842561902462600668119744088850911742078848649664588082246063365816239422989667907007545632511976674142944343300271061525776671559740223015133152624326804740696976650549377959336352841984655753255473848711074059037448307329956432738297988590243619176539548894632358351380186528109324260682897550970052794507467212869468274491662663208290210560462580846389024308005111354367216695026210424886530587255069525402758898591915505166427947011120118076928948864713247933180745458324948898965337920456309518735127497553392497618843806053144383069010873747176664475411308762303197100767534996421573310396313958222667551453692272993234988672291899116703089273893795940028213608776758073836187232756374258470935696773099208994930309882130738597564045695870175439439377987034026844968464914327088087417737392813387061662125427540474449841318972427605261602329284735087957539228452418204057922732174345323308469493579312961596309490069743641770794798127191976975996275675171700079117586058750103253405426826486992794307522889941746417648654837378184644791974037098321034810641327356062399865459709758068918931230677884292370518151861959897610706673636269363}
15712  6306055454564367698449515237559221335995193236354732883561645296: {454807,642511,972098,1110511,1297207,1347362,1818764,1909178,2041111,2096162,2319308,2569388,2885672,2944268,3215042,3246381,3401018,3693164,3698047,3817868,3880711,3958082,4154167,4191788,4698818,4789711,4938764,5421727,5560364,5871007,6173378,6257517,6305228,6677228,6764167,6853087,7296607,7385384,7449425,7572957,7915148,7951281,8308557,8367938,8528887,8656364,8695185,8731682,8939310,9015425,9273164,9274864,9331385,9535264,9766028,9830733,9919927,10101345,10201821,10361402,10381388,10395177,10434222,10721978,10727172,10774768,10818510,11121967,11197662,11213345,11241548,11377711,11539744,11547847,11620898,12121614,12145025,12158522,12222668,12225511,12873338,12982212,13066111,13079468,13229882,13283501,13330550,13407938,13456014,13484121,13733407,13899511,14065327,14313345,14313511,14574030,14597149,14659865,14890087,14910188,15267568,15545632,15883628,15885602,15906065,15951511,15996660,16027341,16052525,16612364,16759711,16920487,16971693,17063104,17063624,17176014,17288738,17321167,17339948,17417337,17488836,17591838,17719377,17720047,18548257,18591247,18682658,18748711,18912428,18976430,19087278,19122081,19195992,19196577,19263030,19381677,19515788,19980142,20036121,20152927,20359148,20539437,20547232,20734925,20853070,20868749,21321068,21441164,21595491,21785282,21988927,22041164,22064527,22234664,22708185,22722950,22771716,23073425,23115636,23238764,23428145,23488802,23798173,23836364,23852525,23959257,24103545,24222064,24504002,24552428,24760041,24881910,24988865,25013997,25023684,25029164,25174711,25308665,25514018,25624364,25710448,25743308,25887633,25896511,26121214,26184482,26337548,26397487,26497510,26540704,26611111,26812364,26824087,27223917,27249822,27267540,27405164,27459127,27688110,27753341,28113774,28157887,28393393,28470188,28522925,28543060,28573687,28623030,28684617,28841672,28924254,29025185,29085376,29337722,29533984,29572904,29790100,29858292,29873287,29886188,29986638,30210967,30370398,30531232,30628985,30945164,31389358,31649708,31702433,31741111,31797012,31937887,32298665,32334081,32409425,32446881,32492072,32600762,32721048,33089721,33172268,33225732,33269517,33552487,33568442,33812548,33996511,33997390,34185727,34227510,34251672,34318257,34347636,34456364,34572908,34749487,34830222,34922348,35245711,35430607,35504108,35647298,35676127,35748120,36027629,36042247,36123578,36128072,36163711,36317228,36345367,36509344,36553581,36571713,36665228,36754782,36811179,36914498,37184527,37229858,37244588,37316020,37544642,37833967,37997745,38015738,38054348,38096201,38126287,38131328,38350797,38358847,38532511,38533131,38604365,38758398,38838065,38891310,38977868,39392525,39590509,39647630,39951897,40122127,40216635,40233511,40452665,40530928,40561990,40644081,40703948,40718733,40775800,40796868,40815098,40838577,40950487,41073012,41423345,41464550,41484064,41506988,41584418,41762647,41907597,42205353,42295087,42350138,42400711,42636584,42897744,43543567,43601261,44179681,44202511,44248364,44324162,44452711,44525614,44779224,44841940,44904345,44930828,45094807,45110301,45271628,45289190,45289927,45498668,45597294,45599345,45826082,45872775,45916111,45952364,46140950,46153711,46248247,46295407,46325238,46412781,46605678,46669572,46948087,47271030,47451007,47541511,47577156,47609378,47801585,47856007,47897968,47966157,48259962,48303640,48325868,48543198,48561607,48567700,48648511,48674388,48786722,48888908,48930960,48993247,49035345,49312221,49338764,49517882,49708014,49710511,49757460,49805393,49809338,49900364,49938801,50122711,50306737,50354817,50376627,50422432,50824898,50909228,51242024,51393367,51963607,51976898,52027148,52193024,52250348,52304368,52584908,53074624,53120452,53161111,53308600,53405047,53577127,53679511,53687618,53810328,53820681,53883245,53885214,53920268,54016111,54092072,54115687,54171897,54190318,54341595,54342033,54347028,54410527,54535202,54536765,54719214,54816578,54918764,54954449,55047330,55075807,55237562,55361708,55369140,55482950,55517498,55582988,55591111,55679887,55884511,56170711,56255167,56311111,56504647,56557870,56626493,56725236,56770082,56854711,57018188,57189785,57238508,57361902,57419407,57460922,57568748,57592865,57647277,57736711,57808207,57945700,57964368,58148162,58149537,58281240,58338188,58349864,58594447,58705025,58717152,58842414,58884247,59043511,59060416,59292487,59325164,59564647,59708952,59804047,59853511,59972175,60013711,60269527,60382711,60461149,60517711,60536619,60556807,60730687,60853581,60912127,60933511,60945065,60964364,60995258,61006087,61016167,61055767,61149727,61234537,61300711,61388407,61459687,61530362,61576111,61617511,61618028,61645447,61671367,61683247,61693327,61712767,61716007,61930178,62166656,62214621,62493785,62596364,63113830,63210093,63253538,63516482,63572108,63608020,63830921,63970320,64099185,64470494,64659894,64692375,65192588,65209914,65444118,65566395,65582062,65643597,65804045,66056796,66442968,66577985,66579540,66882338,67020428,67137218,67172571,67357961,67503944,67869444,68091308,68235008,68372464,68528762,68627742,68674281,68858374,68903624,69005200,69111438,69155522,69534840,69778682,69837065,69937488,70333265,70398242,70446030,70644868,70846174,70891298,71018176,71178764,71369133,71383865,71966610,72079294,72113858,72206637,72260745,72356642,72392744,72765164,73134078,73442042,73497073,73713548,73756745,73836717,74040002,74065025,74151553,74170496,74344364,74409657,74597217,74748339,74764268,74765614,74974028,74992542,75142432,75288428,75342842,75695138,75736596,75886360,75916364,75941937,76020908,76326945,76329624,76341713,76396265,76764384,76919022,76942493,77008729,77078128,77113257,77344745,77414740,77516577,77630850,77634689,78105068,78226695,78248121,78353018,78416588,78580538,78636872,78679674,78964854,79142348,79143873,79372322,79484858,79893582,79895448,79900184,80517921,80689035,80894990,81036365,81045242,81098465,81155618,81249742,81411341,81415408,81441837,81442221,81515948,81924218,82251458,82468898,82658758,82806240,82890033,83131737,83157164,83441808,83804478,83913965,84293882,84399918,84535236,84586508,84717242,84928058,85073757,85134478,85269597,85372155,85452578,85660638,85701453,85776945,85806668,85870827,86068304,86284322,86359932,86373070,86625897,86712894,86819948,87412922,87477910,87480113,87600545,87729164,87819002,88233164,88326656,88423802,88466481,88508094,88582925,88878030,88961741,89462317,89519138,89882379,89887707,90011258,90022582,90341228,90868600,90888002,91063632,91153185,91187030,91273922,91340108,91495408,91592334,91639148,91675518,91706692,91738361,91753082,91886577,91943738,92113889,92136908,92606498,92813694,92897688,93130028,93152525,93157020,93168962,93688660,93872034,94002938,94015985,94260665,94697997,94803232,95040717,95096762,95106668,95205164,95697164,95813998,96058375,96081218,96413384,96804753,96826842,96848345,96955025,96961058,96972148,97073988,97230064,97243638,97266188,97308962,97318158,97740602,97853197,98439464,98508482,98930042,99021548,99120057,99185145,99367488,99507308,99787304,99844802,...,644094667293618232496679187786720392488300202658470351521895465249034581225401812969915138464122518462096184610028200356455790985370416167062791953135369903615259042698883109237629384227163198241566944262732880634882794495624796556629121378681563667311834008277572387219636464319005469951144888706809515444579679768358557841976245432012205291259892895100426170762511279322230986010631385201986624370300673582057524941244787342309491913125769003295349950915974396474917341999513195292272446329882791317258471758730650108046447957153571242862684809658748338991858482808087898925621077118013886544657461038690171316042852394992705949665251695118325295859573922003660402411991765319171726890333139507858350729368801499688500938030395019553639717293810972798558781294538587808775213685949306716442824506393772706932232970520840324220689229805961576666452673500083338343448256534898485403262849646577065410331664347801676555336090732280805504377061537763226884046046014262582456812561414705127347234910505764251841862920829187533978167656026219777179436729646450853781234217589836242819482052833823964990978354775934777213030526792666405376144860563986196252753092271119108557693051568821182601610428925792987886939548882577311341664353878837901484408541681059788905716708351073071332471537632414855938564591622431694461923093755181938134726895393479391464258522456749203283467557492992118467882322771798199552784109661417821088319230652890542676727510015968898857259124400361415367702228746320297353510870165769072987595968867399170612448470455979541004340631798281432078716597743106608576984397318120324825568719398526176477801840248704145765680910530067960070392676622950492624365988883550944386947413950107795185365744006815139156288926701613899848707449673426033870345198122554006888570596014826824102571931819617663910907660611099931865287117227275079358313503330071189996825125074737525844092014498329568885967215078349737596134356713328562097747195085277630223401938256363990979984896389198822270785698525061253370951478369010765114916310341832344627914262364132278659907079842840984796752060927826900585919170649378702459957953219102784116556983190417849415549500570053965933121758629903473682136439046313450610052304603224272077230309565793764411292658105750615461745986759658189027726397502922635967995034233562266772156781411666804337873902435315990392410030519922328556864873116504246193055965382797761379747521769808083199820612946344091891908307570512389827357535815946530147608898181692484}
15713  6333910878276758744685924374720887986150131907052286341461174000: {1458147,2021043,2273455,2524963,2728146,2863767,2899135,3144243,3211735,3277747,3465943,3478962,3607090,3680335,3854082,3966787,4328508,4416402,4531231,4616455,4772335,4822563,5101527,5239735,5343811,5539746,5726802,5865442,5907967,5937123,6173455,6287682,6462211,6848227,6950455,7048227,7063111,7408146,7723831,7745426,7881535,8115506,8287843,8340546,8343356,8346535,9123367,9231730,9260067,9427922,9457842,9893935,9998098,10015842,10097276,10152307,10445887,10495111,10601708,10780783,10820455,11078076,11591455,11593580,11872722,11919080,11996647,12207535,12254722,12503551,12550087,12551907,12627602,12976735,12984546,13097523,13107644,13359122,13408965,13468460,13602428,13860236,13909746,13912296,13972771,14051935,14094343,14260147,14302896,14424680,14425567,14649042,14757007,14930216,14930671,15065882,15278335,15474883,15542103,15572082,15651333,15750487,16082967,16090758,16162152,16227765,16349335,16789231,16796493,16862322,16910083,17309616,17332711,17431347,17801431,17941352,17978828,18182421,18237783,18244402,18334002,18448658,18599527,18637735,19084460,19310007,19432040,19455331,19473318,19504327,19619202,19844823,19854535,19879711,19995825,20111907,20184021,20302018,20765455,21194306,21328880,21329530,21369788,21674935,21861045,21927487,22365282,22496642,22628924,22901352,23223116,23318448,23455784,23613391,23625836,23640535,23825442,23828403,23994990,24394735,24412498,24918546,25003906,25236463,25448935,25449704,25496108,25505827,25570466,25594656,25595436,25678447,25684040,25764021,25830211,25842236,25876291,25933107,26009922,26233254,26387757,26514007,26651335,26714828,26801455,27178831,27385916,27551455,27553927,27793330,28023987,28185082,28368642,28430563,28464645,28630917,28793988,28894545,29048455,29273682,29510242,29793763,29795455,29934943,29970213,30077378,30122287,30277580,30362288,30538722,30690535,30820848,31279605,31286455,31612063,31935247,31945676,31981602,32030455,32081426,32138060,32161746,32179135,32588611,32677923,32921935,33013388,33061746,33175880,33351996,33364912,33452407,33515455,33613471,33815842,33940087,34084425,34157574,34256455,34502371,34516844,34673454,34858146,34920223,35233203,35464562,35587735,35678825,35754546,35885042,36052090,36236911,36298556,36333096,36356720,36756003,36828642,36917480,36966130,37194298,37237625,37307011,37322865,37357735,37485032,37535526,37543746,37551607,38164040,38246156,38271027,38349763,38436546,38565672,38614962,38681455,38976487,39061567,39181821,39276723,39345722,39506322,39562135,39746265,39811056,39982184,40218546,40493864,40615090,40874733,40901310,40987111,41107746,41465335,41532165,41910722,42170661,42265685,42396016,42417106,42660211,42705282,42814590,42934545,43070455,43112108,43216135,43262508,43278211,43327106,43386381,43628064,43652935,43840063,44006583,44119628,44300976,44359356,44380135,44665027,44685150,44787438,44829282,44836771,44869858,44979957,45160090,45396535,45414511,45555597,45636680,45642607,45660823,45668896,45757676,45766322,45796848,45831535,46417746,46440296,46540447,46555735,46645025,46849543,46879267,47084037,47330563,47474562,47567935,47664160,47695518,48037327,48043546,48722335,48738108,48762284,48784111,48784327,48901143,49006376,49081572,49267171,49716547,49758402,49838598,50352663,50663660,50718822,50879935,50969750,50976178,50996085,51056131,51134396,51341265,51377508,51521454,51595063,51677864,51684546,51855080,51859362,51883735,52245333,52383522,52426351,52544698,52652611,53256162,53259007,53269196,53295730,53470947,53622180,54185367,54192108,54291644,54395824,54451436,54475842,54538207,54764016,54997842,55132173,55310455,55371747,55844787,55866882,55876796,55974030,56052425,56163535,56230226,56273804,56316963,56589535,56862367,56873335,57023607,57081522,57196992,57440455,58005271,58137597,58210723,58336965,58466802,58658143,59065951,59071058,59095762,59471445,59600167,59628487,59705632,59825906,59862202,59872460,60147068,60213031,60290671,60379550,60407335,60709625,60789283,60796392,60842985,61055922,61111135,61163700,61195302,61222647,61609518,61637671,61673455,61766984,61883708,62140904,62196825,62226096,62260482,62375455,62376627,62894887,63028040,63152611,63343651,63393343,63436208,63438362,63525207,63636535,63858787,63954876,64052530,64346616,64538947,64544786,64724264,64899184,65033935,65237647,65241280,65277187,65312935,65380460,65524327,65731135,65747887,65749628,66277352,66343280,66372546,66400565,66486243,66585068,66635750,66709171,66788421,67107367,67139756,67168836,67262910,67396242,67400335,67443362,67452991,67481311,67615090,67616167,67907442,67933785,68248002,68395941,68445847,68648455,68739123,68791183,68807263,68928546,69202135,69211425,69478735,69487857,69908517,69912661,70004358,70198783,70547671,70637282,70694431,70906545,70979071,71238482,71272735,71365734,71414067,71548135,71747104,71760908,71846952,71960935,72084847,72229196,72389943,72399811,72432125,72455460,72456044,72462704,72488802,72726247,72814797,72851550,72922735,72937330,72958952,73011582,73180083,73333362,73396440,73647667,73705027,73825520,74008146,74151943,74156455,74276823,74357107,74562021,74636190,74714007,74850546,75309766,75633648,76205455,76237347,76363842,76413698,76482536,76689682,76863036,77022535,77272162,77285824,77287111,77379506,77532716,77708320,77818687,77965347,78040722,78245455,78246211,78289536,78375522,78456552,78825847,78877362,79283842,79330243,79465135,79510025,79611936,79680678,79753687,79962900,80058482,80531427,80694127,80715492,80827821,80880402,81138108,81285477,81293938,81433087,81490735,81520542,81802803,81852943,81874322,82078821,82224867,82290007,82378146,82570995,82856343,82952828,83042562,83053710,83224425,83276247,83287327,83374482,83470711,83775535,84096067,84276602,84280124,84361711,84379930,84836805,84934147,85065607,85076306,85087854,85114135,85155123,85293760,85465580,85527282,85552207,85600351,85737367,85815727,85857762,86042853,86129530,86134531,86191383,86213192,86256500,86353122,86918550,86946552,87222243,87258824,87313891,87314722,87421860,87507282,87524796,87991711,88075728,88162306,88263621,88306085,88590624,88772720,88973455,88987746,89129347,89174258,89563428,89666563,89838127,89892962,90223111,90490930,90492592,90543751,90898147,90956455,91273498,91446546,91492887,91503656,91565708,91689187,92141935,92148584,92295543,92427042,92479543,92572802,92615671,92713120,92895267,92930455,93249984,93317923,93455335,93716162,93717535,93755827,93894546,93928040,94110535,94503427,94670745,94679287,94857950,94880307,94895455,95026135,95037811,95158844,95274723,95358162,95412030,95637631,95809711,95955480,96275516,96347660,96705741,96768425,96989841,97512104,97631335,97788882,97814871,97837411,98002402,98020735,98166177,98196223,98296090,98373093,98417263,98448956,98792162,98927935,99085194,99212876,99462956,99664452,99702943,99832711,99869310,99875230,99986287,99990056,...,966142000940427348745018781680080588732450303987705527282843197873551871838102719454872707696183777693144276915042300534683686478055624250594187929703054855422888564048324663856444076340744797362350416394099320952324191743437194834943682068022345500967751012416358580829454696478508204926717333060214273166869519652537836762964368148018307936889839342650639256143766918983346479015947077802979936555451010373086287411867181013464237869688653504943024926373961594712376012999269792938408669494824186975887707638095975162069671935730356864294027214488122508487787724212131848388431615677020829816986191558035256974064278592489058924497877542677487943789360883005490603617987647978757590335499709261787526094053202249532751407045592529330459575940716459197838171941807881713162820528923960074664236759590659060398349455781260486331033844708942364999679010250125007515172384802347728104894274469865598115497496521702514833004136098421208256565592306644840326069069021393873685218842122057691020852365758646377762794381243781300967251484039329665769155094469676280671851326384754364229223079250735947486467532163902165819545790188999608064217290845979294379129638406678662836539577353231773902415643388689481830409323323865967012496530818256852226612812521589683358575062526609606998707306448622283907846887433647541692884640632772907202090343090219087196387783685123804925201336239488177701823484157697299329176164492126731632478845979335814015091265023953348285888686600542123051553343119480446030266305248653609481393953301098755918672705683969311506510947697422148118074896614659912865476595977180487238353079097789264716702760373056218648521365795101940105589014934425738936548983325326416580421120925161692778048616010222708734433390052420849773061174510139050805517797183831010332855894022240236153857897729426495866361490916649897797930675840912619037470254995106784995237687612106288766138021747494353328950822617524606394201535069992843146620792627916445335102907384545986469977344583798233406178547787591880056427217553516147672374465512748516941871393546198417989860619764261477195128091391740350878878755974068053689936929828654176174835474785626774123324250855080948899682637944855210523204658569470175915078456904836408115845464348690646616938987158625923192618980139487283541589596254383953951992551350343400158235172117500206506810853652973985588615045779883492835297309674756369289583948074196642069621282654712124799730919419516137837862461355768584741036303723919795221413347272538726}
15714  6361888378913775136985342048625949925077724801681812791677283451: {486173,673853,736349,830033,909614,1048349,1110653,1141793,1285022,1669949,1762913,1944196,2041373,2221022,2534813,2594414,2688593,2694724,3637528,3728993,3818356,4063613,4082222,4092219,4185053,4192324,4638616,4820513,5091773,5138776,5182049,5218443,5410635,5422433,5771344,5781123,5871773,5888536,6140513,6430084,6492762,6624603,6765053,6802036,7386328,7396094,7415549,7635736,7761422,7915553,7916164,8208593,8308334,8309619,8383576,8590203,8734049,8798163,8966753,9169949,9256913,9397636,9431523,9517373,9579422,9661793,9834833,9877528,9950033,10266173,10429195,10524113,10843454,11112219,11120728,11322449,11618139,11742014,12173259,12255293,12311549,12346756,12510819,12515034,12610456,12621595,12816413,13063939,13095773,13151549,13252135,13354456,13528334,13706174,13847595,13984349,14141883,14186763,14260349,14398049,14480573,14491975,14590493,14593214,14672849,14770768,14898850,14997147,15023763,15138173,15145914,15546833,15698683,15830296,15899549,15902562,15980753,16384555,16385693,16617114,16735876,16762013,16788833,16835575,16922813,17003035,17029853,17057774,17163473,17312728,17325295,17390370,17463364,17809083,17878620,18030850,18382083,18436049,18514973,18546328,18549728,18620093,18662770,18777533,18829949,18941403,19070528,19091549,19476819,19532056,19612349,19661466,19690193,19839854,20038683,20202690,20403642,20464673,20523811,20722804,20762776,20790354,20864619,20868444,20951453,21231953,21443956,21454344,21549536,21637020,21973563,22218653,22243934,22268491,22395324,22426690,22473535,22483096,22598823,22669949,22755422,22919549,23079488,23095694,23241796,23292449,23358123,23366813,23855575,24136137,24243228,24290050,24317044,24400349,24445336,24451022,24663067,24838973,25057313,25178333,25293483,25419773,25746676,25924193,25964424,26132222,26158936,26329949,26459764,26567002,26638673,26661100,26712235,26815876,26851613,26912028,26968242,27345953,27366603,27463133,27466814,27501003,27626849,27672987,27743549,27799022,28130654,28286155,28370273,28439549,28626690,28627022,29014049,29028895,29148060,29194298,29209977,29288033,29319730,29428803,29532295,29780174,29820376,30148049,30305213,30453027,30535136,30551393,30774353,30818849,31091264,31217873,31372349,31702049,31767256,31767773,31771204,31791459,31812130,31870135,31903022,31993320,31994295,32054682,32105050,32138849,32204093,32302795,32464349,32744993,32799403,33224728,33366173,33393535,33493853,33519422,33547923,33578813,33744963,33840974,33943386,34022753,34126208,34127248,34232395,34316753,34352028,34577476,34642334,34679896,34834674,34837853,34900049,34977672,34984411,35183676,35209949,35251133,35271713,35432131,35438754,35440094,35456573,35558993,35738163,35992485,36068093,36128849,36189533,36618747,36772433,37096514,37182494,37365316,37377819,37497422,37505859,37722449,37824856,37846975,37859453,37952860,38151713,38174556,38244162,38248733,38355699,38391984,38393154,38526060,38730833,38763354,38788349,39014883,39031576,39349881,39454049,39736349,39923549,39932095,39960284,40072242,40072733,40172575,40202849,40305854,40572449,40635259,40718296,40975313,41078874,41084513,41094464,41175293,41266735,41469850,41608253,41689995,41706140,41737498,41787293,41983313,42160673,42277623,42407633,42425213,42552963,42578107,42642136,42844733,42880579,42882328,42896849,43146055,43190982,43242449,43362653,43570564,43669949,43720913,43754849,43910523,43974653,43977854,44082328,44129054,44209853,44226593,44260049,44265363,44469328,44675549,44725073,44955233,45022783,45116067,45218131,45373195,45416370,45445900,45543432,45652349,45684413,45808083,45923873,46129949,46146850,46231272,46318973,46477528,46856290,46956113,46977604,47292449,47564753,47596346,47672728,47705050,47807695,47819549,47918514,47972403,48122139,48207090,48242619,48439133,48444128,48482849,48584573,48671453,48873053,49008004,49104856,49520082,49524413,49592619,49760849,49763820,49977730,50027994,50047368,50058328,50063393,50172449,50213213,50349422,50576849,50617330,50723763,51013373,51028036,51104849,51236361,51248728,51260753,51402653,51420896,51486616,51492449,51528763,51775266,51793022,51897953,52010181,52242428,52287219,52368964,52575773,52675096,52756433,52794974,52852049,52995020,53081408,53182673,53196843,53222222,53241053,53587133,53624728,53631819,53648174,53700893,53827563,53858813,53890135,54046111,54059549,54078135,54136913,54169949,54202913,54373291,54388349,54447834,54499644,54535080,54810328,54815549,54868049,54918254,54993233,55096673,55149535,55242963,55311293,55376220,55449195,55506682,55601873,55661153,55664851,55759313,55791447,55895393,55905053,56039453,56191133,56227548,56275553,56303289,56315619,56315774,56470013,56515793,56552273,56633731,56741693,56786786,56848349,56874833,56940376,57045850,57086120,57147374,57197095,57246060,57254993,57369234,57430973,57464093,57529949,57554513,57611549,57654819,57676253,57683344,57732449,57827873,57848508,57890849,57914333,57922443,57992093,57992683,58007549,58050370,58170752,58213073,58420049,58478033,58613693,58648913,58675444,58690913,58744411,58860919,58862813,58996733,59018583,59042849,59067968,59140349,59145808,59236049,59259483,59311313,59342333,59360849,59379293,59422049,59440253,59530193,59580200,59670353,59716584,59746574,59772376,59816993,59973276,60032033,60058013,60094049,60104273,60327819,60330593,60396113,60400733,60421934,60535613,60574673,60596093,60671549,60740796,60783773,60829949,60837533,60922635,60929633,60940349,60952855,60958049,60968573,60999713,61062464,61234013,61257970,61270049,61283549,61291553,61317713,61351965,61360349,61367633,61402973,61476413,61538849,61567613,61588049,61591073,61620893,61636349,61661619,61661693,61667933,61676753,61708733,61732193,61890328,62778716,62866083,63299416,63329575,63404866,63482222,63594024,63625659,63839083,63875774,63917995,64057923,64221885,64597330,64668162,64818850,64893762,64946167,64984144,64990659,65201524,65442096,66179442,66344536,66451464,66539034,66586495,66922219,67027725,67104974,67136884,67181157,67243923,67304787,67625096,67740135,67864555,67993022,67994780,68064295,68371454,68455020,68503344,68636514,68649483,68695272,68912728,69145816,69498974,69626619,69660444,69844696,69845995,70342255,70491422,70861214,71008216,71211843,71294596,71352254,71496240,71543277,72055258,72065319,72084494,72247156,72256144,72327422,72634456,72690734,73018688,73107162,73143426,73330456,73509564,73622358,73828996,74369054,74459716,74489176,74632040,74637603,74757897,74840575,75089284,75183835,75282427,75436543,75667934,75995490,76031476,76078233,76108696,76192402,76252574,76262656,76351471,76454625,76464267,76701594,76717694,77065022,77066262,77208730,77282181,77354635,77516796,77526819,77676130,77782620,77789043,77955736,78575283,78785050,78817047,79181018,79295260,79604863,79884243,79903794,79943595,80065699,80244254,80433270,80467022,80630011,80905330,81061856,81123980,81288162,81407896,81421747,81437466,81551600,81593736,81630196,81677154,81713763,81725575,81900974,82146024,82187035,82496763,82846690,82929100,82968128,83013976,83168836,83231335,83525294,83800323,83815194,83924695,83961045,84345339,84410706,84590174,84700276,84801422,85273168,85323091,85622283,85795488,85994551,87087134,87202522,87491299,87700203,88359362,88405022,88496728,88606587,88643643,88648324,88905422,89051228,89558448,89683880,89701135,89738859,89793303,89808690,89861656,90189614,90220602,90286495,90543256,90569325,90570055,90578380,90579854,90997336,91194588,91198690,91583883,91652164,91745550,91750087,91792953,91832222,91904728,92125663,92281900,92307422,92414277,92496494,92590814,92650476,92825562,93209179,93211356,93339144,93390723,93896174,94542060,94902014,95083022,95154312,95157543,95218756,95603170,95712014,95795936,95932314,96078795,96213403,96519924,96607280,96651736,96817179,96915895,97086396,97123214,97135400,97297022,97348776,97573444,97771891,97777816,97861920,97986494,98070690,98466571,98624442,98677528,99035764,99416028,99421022,99514920,99558819,99610786,99618676,99800728,99877602,99937411,99953625,...,1449213001410641023117528172520120883098675455981558290924264796810327807757154079182309061544275666539716415372563450802025529717083436375891281894554582283134332846072486995784666114511117196043525624591148981428486287615155792252415523102033518251451626518624537871244182044717762307390075999590321409750304279478806755144446552222027461905334759013975958884215650378475019718523920616704469904833176515559629431117800771520196356804532980257414537389560942392068564019498904689407613004242236280463831561457143962743104507903595535296441040821732183762731681586318197772582647423515531244725479287337052885461096417888733588386746816314016231915684041324508235905426981471968136385503249563892681289141079803374299127110568388793995689363911074688796757257912711822569744230793385940111996355139385988590597524183671890729496550767063413547499518515375187511272758577203521592157341411704798397173246244782553772249506204147631812384848388459967260489103603532090810527828263183086536531278548637969566644191571865671951450877226058994498653732641704514421007776989577131546343834618876103921229701298245853248729318685283499412096325936268968941568694457610017994254809366029847660853623465083034222745613984985798950518744796227385278339919218782384525037862593789914410498060959672933425861770331150471312539326960949159360803135514635328630794581675527685707387802004359232266552735226236545948993764246738190097448718268969003721022636897535930022428833029900813184577330014679220669045399457872980414222090929951648133878009058525953967259766421546133222177112344921989869298214893965770730857529618646683897075054140559584327972782048692652910158383522401638608404823474987989624870631681387742539167072924015334063101650085078631274659591761765208576208276695775746515499283841033360354230786846594139743799542236374974846696896013761368928556205382492660177492856531418159433149207032621241529993426233926286909591302302604989264719931188941874668002654361076818979704966016875697350109267821681387820084640826330274221508561698269122775412807090319297626984790929646392215792692137087610526318318133961102080534905394742981264262253212178440161184986376282621423349523956917282815784806987854205263872617685357254612173768196523035969925408480737938884788928470209230925312384394381575930927988827025515100237352758176250309760216280479460978382922568669825239252945964512134553934375922111294963104431923982068187199596379129274206756793692033652877111554455585879692832120020908808089}
15715  6389988487268773655181608151410224427891029131697556102542817226: {1364421,1927533,2430245,2916294,3182837,3331533,3368405,3873701,3891621,4042086,4058789,4496429,4546910,4688021,4772945,5049926,5064317,5152469,5240405,5456292,5727534,5798270,6123333,6288486,6315413,6376469,6423470,6463037,6555494,6681269,6931886,6957924,7214180,7335629,7360670,7407653,7708164,7933574,8037605,8256509,8347313,8502545,8632517,8642837,8657016,8832804,9062462,9232910,9544670,9645126,9730637,9739143,9850769,9895205,10203054,10479470,10496453,10687622,10782161,11034149,11079492,11094141,11166293,11453604,11642133,11685149,11730884,11747045,11815934,11874246,11998181,12346910,12403313,12462501,12575364,12924422,13696454,13851509,13900910,13974557,14096454,14126222,14369133,14816292,14831921,15148637,15433445,15447662,15476861,15490852,15752501,15763070,16228037,16231012,16265181,16575686,16652669,16681092,16686712,16693070,16791377,16852901,17090549,17613021,17675933,17947109,18167429,18246734,18463460,18520134,18772551,18855844,18915684,19506821,19672709,19787870,19882253,19895717,19996196,20031684,20194552,20292501,20304614,20484113,20559261,20849453,20891774,20919845,20976317,20990222,21203416,21389669,21412529,21561566,21640910,21829205,21889821,22156152,22348275,22718871,22889069,23182910,23187160,23745444,23838160,23853843,23993294,24415070,24509444,24925671,25007102,25100174,25103814,25255204,25586661,25726049,25903505,25953470,25969092,26085555,26092829,26195046,26215288,26224301,26391437,26718244,26804945,26817930,26936920,27046275,27204856,27720472,27796349,27819492,27824592,27865013,27945542,27994155,28103870,28188686,28520294,28605792,28849360,28851134,28898021,29052245,29071637,29298084,29492199,29514014,29759781,29860432,29861342,30131764,30304035,30344909,30347717,30396305,30526613,30556670,30605463,30949766,31084206,31144164,31185531,31302666,31500974,32165934,32181516,32183345,32324304,32455530,32698670,32929853,33074705,33096749,33326375,33365901,33456701,33519845,33578462,33592986,33640035,33724644,33820166,34096277,34133133,34152629,34619232,34643541,34665422,34862694,35595701,35602862,35628509,35755637,35882704,35957656,35959253,36364842,36435075,36475566,36488804,36668004,36676533,36765917,36897316,37199054,37275470,37311869,37522037,37567997,38168920,38513813,38572037,38620014,38864080,38910662,38946636,39008654,39066581,39198333,39238404,39689646,39709070,39714005,39759422,39850503,39991650,40141373,40223814,40368042,40452363,40500077,40604036,40667837,40999589,41200221,41478929,41530910,41698533,41713637,42195981,42388612,42657760,42659060,42739576,42872429,42940035,42940533,42966749,43221845,43349870,43722090,43791447,43801037,43854974,43979595,44670261,44730564,44745269,44842637,44993284,45050789,45257848,45802704,46063121,46090709,46446232,46546421,46636896,46693793,46706645,46911568,46921637,47006069,47226782,47251672,47281070,47441075,47629853,47650884,47656806,47718195,47854533,47959037,47989980,48082023,48157575,48439313,48789470,48790373,48824996,49127549,49750133,49822829,49837092,49950355,50007812,50279133,50416613,50438033,50472926,50761461,50897870,50899408,50915079,50992216,51011654,51140932,51189312,51190872,51356894,51368080,51528042,51660422,51684472,51752582,51866214,51963501,52019844,52132675,52252011,52300829,52466508,52775514,52785941,52991213,53028014,53158131,53160141,53302670,53429656,53602910,53973893,54154037,54357662,54463205,54771832,55102910,55107854,55386989,55586660,55644771,55773741,55920209,55973093,56047974,56246133,56370164,56737284,56807375,56861126,56929290,57261834,57303797,57366243,57587976,57589731,57789090,58051469,58096910,58145031,58547364,58594157,58722005,59020484,59171959,59587526,59590910,59636141,59869886,59940426,60108363,60154756,60244574,60298637,60458781,60502589,60555160,60724576,61077444,61114109,61260005,61381070,61618311,61641696,62132189,62204775,62225813,62559210,62572910,62606247,62789777,62903093,63224126,63555149,63785045,63870494,63891352,63963204,64060910,64162852,64164149,64276120,64323492,64358270,64572293,64786473,65177222,65178029,65246021,65303035,65355846,65461205,65559101,65843870,65966781,66026776,66123492,66193581,66243775,66351760,66595109,66703992,66729824,66845669,66904814,67030910,67115981,67226942,67296917,67489973,67631684,67880174,68124555,68168850,68211269,68315148,68512910,68955101,69004742,69033688,69220275,69346908,69382193,69716292,69840446,69943109,70284435,70436561,70466406,70911461,70929124,71072189,71175470,71231909,71357650,71394519,71509092,71557575,71770084,71877771,72104180,72310635,72473822,72597112,72637229,72666192,72713440,72735773,73074149,73344305,73512006,73657284,73834960,73932260,74280123,74330321,74388596,74475250,74614022,74645730,74715470,74966595,74970064,75041991,75071052,75087492,75103214,75388637,75524133,75569909,75601181,75925995,76273301,76328080,76492312,76542054,76699526,76873092,77131344,77229924,77362910,77434637,77437841,77622413,77662899,77689533,77952974,78123134,78363642,78473395,78553446,78628949,78691444,78777329,78847397,79012644,79124270,79192461,79225349,79492530,79622112,79622669,79708757,79833333,79964368,80325629,80416637,80437092,80472261,80987728,81230180,81501905,81517469,81671751,81749466,81802620,81974222,82215492,82377381,82406717,82875701,82930670,82967201,83064330,83185493,83260023,83821444,83921105,84341322,84473661,84531370,84570269,84792032,84834212,84936581,84993475,85180179,85320422,85410564,85555589,85563413,85568775,85629180,85644893,85721061,85869090,85949201,86053851,86140910,86224216,86342837,86432270,86525016,86556422,86654212,86714321,86749349,86772762,87075555,87105941,87256128,87305870,87325637,87542453,87680126,87876581,88003169,88013166,88239256,88601952,88718712,88760270,89044157,89091149,89118245,89330054,89370300,89574876,89619861,89658564,89673542,89739716,89959914,90308945,90320180,90632901,90793070,90829022,91047509,91065617,91111194,91273360,91285214,91321646,91337792,91339313,91438109,91482701,91515352,91532644,91593696,91663070,91734053,91886955,92023589,92286245,92764229,92778317,92835492,92880592,92960791,93074645,93080894,93111470,93290050,93699086,93758534,93861605,94168074,94271981,94360469,94661126,94949124,95039345,95107299,95135870,95223333,95328320,95391036,95650109,95813661,95842469,96074654,96087092,96107837,96882989,96895995,97002243,97228275,97270229,97340643,97444670,97476216,97524568,97568222,97568654,97706933,97802286,98012752,98163144,98343677,98534342,98700317,99119075,99269163,99386261,99433094,99516804,99677196,99781829,99808551,...,1932284001880854697490037563360161177464900607975411054565686395747103743676205438909745415392367555386288553830084601069367372956111248501188375859406109710845777128096649327712888152681489594724700832788198641904648383486874389669887364136044691001935502024832717161658909392957016409853434666120428546333739039305075673525928736296036615873779678685301278512287533837966692958031894155605959873110902020746172574823734362026928475739377307009886049852747923189424752025998539585876817338989648373951775415276191950324139343871460713728588054428976245016975575448424263696776863231354041659633972383116070513948128557184978117848995755085354975887578721766010981207235975295957515180670999418523575052188106404499065502814091185058660919151881432918395676343883615763426325641057847920149328473519181318120796698911562520972662067689417884729999358020500250015030344769604695456209788548939731196230994993043405029666008272196842416513131184613289680652138138042787747370437684244115382041704731517292755525588762487562601934502968078659331538310188939352561343702652769508728458446158501471894972935064327804331639091580377999216128434581691958588758259276813357325673079154706463547804831286777378963660818646647731934024993061636513704453225625043179366717150125053219213997414612897244567815693774867295083385769281265545814404180686180438174392775567370247609850402672478976355403646968315394598658352328984253463264957691958671628030182530047906696571777373201084246103106686238960892060532610497307218962787906602197511837345411367938623013021895394844296236149793229319825730953191954360974476706158195578529433405520746112437297042731590203880211178029868851477873097966650652833160842241850323385556097232020445417468866780104841699546122349020278101611035594367662020665711788044480472307715795458852991732722981833299795595861351681825238074940509990213569990475375224212577532276043494988706657901645235049212788403070139985686293241585255832890670205814769091972939954689167596466812357095575183760112854435107032295344748931025497033883742787092396835979721239528522954390256182783480701757757511948136107379873859657308352349670949571253548246648501710161897799365275889710421046409317138940351830156913809672816231690928697381293233877974317251846385237960278974567083179192508767907903985102700686800316470344235000413013621707305947971177230091559766985670594619349512738579167896148393284139242565309424249599461838839032275675724922711537169482072607447839590442826694545077452}
15716  6418211736424828568785186642613006341891538228779284253939548637: {580123,972346,1048483,1141939,1347706,1472698,1515043,1660066,1701163,1819228,2096698,2221306,2283586,2442763,2570044,3339898,3454939,3525826,3888392,4082746,4276603,4374441,4442044,5069626,5188828,5377186,5389448,5633083,6063129,6081643,6260563,6706603,6820365,6973363,7275056,7457986,7574889,7593283,7636712,7945939,8127226,8164444,8184438,8370106,8384648,8591301,8697405,8735203,9017725,9277232,9432729,9635205,9641026,9691939,9833241,10183546,10277552,10364098,10397829,10436886,10821270,10844866,10982539,11041005,11494243,11542688,11562246,11743546,11749123,11777072,11900361,12281026,12341323,12860168,12985524,13249206,13530106,13593693,13598443,13604072,13847923,13849365,14317005,14467689,14600873,14663605,14772656,14792188,14831098,15167539,15271472,15304581,15522844,15576139,15719205,15831106,15832328,15901723,16031433,16387939,16417186,16616668,16619238,16767152,16791139,17180406,17468098,17592139,17596326,17670233,17723901,17811369,17910523,17933506,18339898,18464923,18513826,18520365,18552989,18701443,18795272,18863046,19034746,19094203,19158844,19323586,19363565,19386633,19669666,19755056,19900066,20288765,20338939,20532346,20544681,20851365,20858390,20874073,21048226,21144681,21189333,21686908,21868939,22171483,22224438,22241456,22644898,22698163,22938377,23079325,23171493,23236278,23484028,23569805,23644605,23804249,24255413,24346518,24477139,24510586,24623098,24693512,24842539,24863529,24995245,25021638,25030068,25039605,25220912,25243190,25632826,26127878,26191546,26303098,26504270,26708912,27056668,27279523,27349939,27370101,27412348,27695190,27770923,27780201,27968698,28283766,28373526,28397539,28466803,28520698,28796098,28961146,28983950,29147261,29180986,29186428,29345698,29497123,29541536,29681805,29769139,29797700,29994294,30047526,30175003,30276346,30291828,30456921,30636805,31093666,31337661,31397366,31462949,31485333,31569005,31660592,31706803,31799098,31805124,31838203,31961506,32342349,32461365,32685283,32769110,32771386,33234228,33397805,33456403,33471752,33524026,33577666,33647563,33671150,33845626,34006070,34059706,34115548,34280083,34326946,34625456,34650590,34774365,34780740,34926728,34967539,35215363,35277139,35618166,35646283,35757240,35989941,36061700,36134443,36622605,36764166,36872098,37029946,37037323,37092656,37099456,37240186,37325540,37334683,37397129,37510653,37555066,37650261,37655721,37659898,37664705,37689139,37882806,38141056,38183098,38332243,38909323,38930205,38953638,39064112,39224698,39292569,39322932,39380386,39600617,39679708,39705139,39761443,40077366,40226895,40320523,40405380,40597363,40640453,40807284,40929346,41036563,41047622,41345213,41362939,41445608,41525552,41580708,41632939,41729238,41736888,41902906,41918313,42155805,42283029,42432139,42463906,42780441,42887912,42908688,43099072,43266763,43274040,43276701,43612393,43677163,43947126,43981939,44233939,44271021,44437306,44487868,44533963,44536982,44618189,44790648,44792013,44853380,44947070,44966192,45197646,45223913,45223939,45339898,45510844,45611005,45708139,45835005,45839098,45899803,45995203,46121645,46158976,46191388,46424649,46483592,46584898,46626309,46716246,46733626,46750949,46953999,47071603,47251461,47618083,47711150,47842723,47925353,48248901,48272274,48486456,48505843,48580100,48634088,48683295,48800698,48890672,48895939,48902044,49048005,49326134,49533139,49677946,49818109,50114626,50319581,50356666,50367693,50389479,50586966,50599243,50730249,50755045,50839546,50917483,51114043,51153139,51493352,51501763,51848386,51919939,51928848,51957523,51998133,52144363,52264444,52294041,52317872,52476139,52659898,52919528,52985765,53134004,53277346,53322200,53323825,53404293,53424470,53505523,53539939,53631752,53703226,53824056,53913763,53936484,54014203,54246043,54547263,54691906,54713349,54733206,54926266,54933628,55002006,55253698,55345974,55443043,55487098,55598044,55770139,55798581,55904933,55913205,55915939,55944883,56241605,56261308,56453563,56572310,56740546,56752939,56859643,56879098,57253380,57254044,57274939,57300283,57744163,57773429,57930021,58028098,58057790,58296120,58365993,58388596,58419954,58432123,58512981,58540483,58561939,58576066,58639460,58857606,59064590,59248603,59525083,59534469,59542939,59560348,59560723,59563605,59613643,59639133,59640752,59981923,59987475,60183163,60296098,60335721,60343939,60404477,60414139,60427963,60552063,60610426,60613939,60676939,60689323,60897629,60906054,61006843,61031245,61057603,61070272,61077403,61102786,61125643,61284403,61433443,61548706,61624963,61637698,61645123,61652683,61722883,61729939,61737139,61743403,62182528,62213657,62296365,62435746,62509765,62744698,63404098,63522473,63534512,63535546,63542408,63582918,63624260,63740270,63806044,63926165,63986640,63988590,64109364,64210100,64277698,64408186,64605590,64928698,65024805,65489986,65583135,65598806,65782461,65785733,66449456,66732346,66787070,66930773,66987706,67038844,67095846,67157626,67489926,67681948,67886772,68045506,68252416,68254496,68464790,68633506,68704056,69154952,69284668,69359792,69425213,69483325,69669348,69675706,69800098,69955344,69968822,70367352,70419898,70462705,70502266,70543426,70840173,70864262,70877508,70880188,70913146,70921605,71117986,71476326,71485209,71984970,72136186,72257698,72379066,73184205,73237494,73544866,73775605,74193028,74364988,74730632,74755638,74994844,75011718,75193445,75444898,75446189,75649712,75693950,75709389,75718906,75905720,76303426,76346805,76349112,76488324,76497466,76517481,76711398,76754561,76783968,76786308,77035341,77052120,77209349,77292063,77461666,77490633,77526708,77576698,77628873,77799321,78029766,78063152,78699762,78908098,79163271,79472698,79542021,79847098,79864190,79920568,79954005,80075933,80144484,80145466,80203565,80345150,80404365,80405698,80611708,81144898,81270518,81436592,81536493,81950626,82157748,82169026,82188928,82350586,82533470,82654365,82661781,82939700,83216506,83379990,83412280,83474996,83574586,83966626,84071961,84321346,84539605,84555246,84815266,84850426,85105926,85156214,85284272,85291689,85333997,85393935,85689466,85761158,85764656,85793698,85892751,86292110,86381964,86484898,86683635,86725306,87141128,87145365,87339898,87441826,87509698,87821046,87949306,87955708,88164656,88258108,88419706,88453186,88520098,88530726,88661405,88938656,88970141,88984489,89351098,89381289,89386365,89450146,89485193,89712605,89804829,89910466,89910639,90045566,90130225,90232134,90366861,90436262,90746390,90832740,90891800,91086864,91304698,91368826,91616166,91847746,92071605,92259898,92293700,92415325,92462544,92637946,92955056,92985745,93221093,93712580,93838815,93859365,93912226,93955208,94584898,94836189,95010377,95129506,95192692,95290013,95345456,95410100,95615390,95639098,95805741,95837028,95944806,96091365,96111557,96225701,96244278,96414180,96485238,96537405,96878266,96888256,96965698,97169146,97342906,97746106,97765833,97784393,98016008,98033769,98209712,98364305,98479157,98765805,99040164,99048826,99185238,99521698,99527640,99955460,...,2898426002821282046235056345040241766197350911963116581848529593620655615514308158364618123088551333079432830745126901604051059434166872751782563789109164566268665692144973991569332229022234392087051249182297962856972575230311584504831046204067036502903253037249075742488364089435524614780151999180642819500608558957613510288893104444054923810669518027951917768431300756950039437047841233408939809666353031119258862235601543040392713609065960514829074779121884784137128038997809378815226008484472560927663122914287925486209015807191070592882081643464367525463363172636395545165294847031062489450958574674105770922192835777467176773493632628032463831368082649016471810853962943936272771006499127785362578282159606748598254221136777587991378727822149377593514515825423645139488461586771880223992710278771977181195048367343781458993101534126827094999037030750375022545517154407043184314682823409596794346492489565107544499012408295263624769696776919934520978207207064181621055656526366173073062557097275939133288383143731343902901754452117988997307465283409028842015553979154263092687669237752207842459402596491706497458637370566998824192651872537937883137388915220035988509618732059695321707246930166068445491227969971597901037489592454770556679838437564769050075725187579828820996121919345866851723540662300942625078653921898318721606271029270657261589163351055371414775604008718464533105470452473091897987528493476380194897436537938007442045273795071860044857666059801626369154660029358441338090798915745960828444181859903296267756018117051907934519532843092266444354224689843979738596429787931541461715059237293367794150108281119168655945564097385305820316767044803277216809646949975979249741263362775485078334145848030668126203300170157262549319183523530417152416553391551493030998567682066720708461573693188279487599084472749949693393792027522737857112410764985320354985713062836318866298414065242483059986852467852573819182604605209978529439862377883749336005308722153637959409932033751394700218535643362775640169281652660548443017123396538245550825614180638595253969581859292784431585384274175221052636636267922204161069810789485962528524506424356880322369972752565242846699047913834565631569613975708410527745235370714509224347536393046071939850816961475877769577856940418461850624768788763151861855977654051030200474705516352500619520432560958921956765845137339650478505891929024269107868751844222589926208863847964136374399192758258548413513587384067305754223108911171759385664240041817616178}
15717  6446558661764531036446202385480910741517067506949274511718968761: {1458519,2021559,2209047,2274035,2490099,2728842,3145047,3212555,3331959,3402343,3425379,3855066,3967799,4532387,4715767,4860490,5009847,5288739,5552555,5660119,5832588,6124119,6365674,6486035,6663066,6682123,6736810,7336567,7535827,7604439,7725803,7747402,7783242,8065779,8084172,8117578,8289959,8754499,8992858,9093820,9227863,9376042,9545890,10099852,10128634,10154903,10205555,10304938,10480810,10912584,11009683,11186979,11252647,11455068,11596540,11903563,12190839,12246666,12276657,12404899,12555159,12576972,12630826,12752938,12846940,12926074,13110988,13362538,13853287,13863772,13915848,14097947,14428360,14461539,14671258,14721340,14815306,15275319,15416328,15546147,15655329,15687923,15867148,16075210,16231905,16267299,16445863,16513018,16694626,16914407,17005090,17265034,17285674,17314032,17343369,17615319,17665608,17949403,18124924,18421539,18465820,18490235,18604283,18864203,19066379,19089340,19290252,19403555,19461274,19478286,19680427,19701538,19790410,19873809,20295159,20406108,20770835,20852119,20889739,20958940,20992906,21318683,21375244,21415267,21564322,21606823,22068298,22158984,22188282,22246647,22332586,22907208,23284266,23370298,23444119,23461768,23462483,23494090,23631868,23746659,23748492,23948555,23996362,24625779,24693820,24806626,24925002,24928857,25150728,25770609,25848844,26202147,26394489,26741219,26900259,27108635,27392908,27509847,27703018,27770739,27801820,27949114,28192908,28252444,28294569,28552119,28738266,28752643,28985379,29287783,29355035,29504499,29632584,29663842,29850099,30117083,30297274,30560887,30572663,30798519,30866890,30895324,30953722,30981704,31287585,31505002,31526140,31572339,32440663,32456074,32462024,32530362,32931379,33151372,33305338,33336657,33362184,33373424,33386140,33582754,33705802,33820835,33967347,34181098,34265435,34672163,34854417,35226042,35252083,35351866,35894218,36264907,36334858,36483035,36493468,36519777,36765879,36926920,36934647,37040268,37247125,37526923,37532457,37545102,37711688,37831368,37864785,38221543,38449239,38917099,39013642,39191817,39287319,39345418,39390683,39454647,39575740,39657299,39756405,39764506,39791434,39992392,40063368,40389104,40495019,40585002,40609228,40662743,40673143,40968226,41091319,41118522,41542785,41698906,41783548,41839690,41952634,41953047,41980444,42154507,42406832,42425649,42497299,42554827,42560289,42644435,42779338,42781047,42825058,43123132,43194147,43281820,43441719,43475925,43658410,43771479,43779642,44018547,44312304,44676599,44696550,44963767,44991441,45056683,45071289,45077125,45414519,45437742,45601723,45664907,45778138,46304587,46358803,46365820,46374320,46640499,46656925,46927783,47096049,47490888,47676320,47698647,47707686,47942259,47986588,48347843,48830140,48971539,49018888,49153665,49157079,49599635,49676099,49756519,49851342,50014204,50200348,50207628,50286039,50366499,50506725,50510408,50768439,51009105,51089559,51173322,51452098,51490419,51807010,51906940,51938184,51975885,52171110,52185658,52390092,52430576,52448602,52782874,53427249,53436488,53609890,53635860,53873840,54092550,54409712,55146249,55308147,55440944,55544919,55552627,55592698,55599607,55609835,55638984,55649184,55730026,55860279,55891084,55927387,55988310,56066725,56207740,56332599,56377372,56489847,56824209,56888555,57040588,57211584,57274647,57698720,57702268,57739235,57796042,58104490,58143274,58430457,58596168,58625303,58837047,58984398,59028028,59070579,59519562,59639207,59710307,59720864,59722684,60116049,60263528,60510583,60608070,60689818,60695434,60725125,60792610,61053226,61113340,61127555,61210926,61255783,61264787,61394019,61571433,61784123,61899532,62168412,62288328,62371062,62593857,62605332,62625979,62818043,62854359,63001948,63695859,64331868,64363032,64366690,64648608,64911060,65175323,65330555,65389303,65397340,65859706,65920689,66149410,66150019,66193498,66417505,66652750,66655959,66731802,66805473,66913402,67039690,67156924,67185972,67280070,67420605,67449288,67470467,67640332,67796469,68009847,68192554,68266266,68301203,68305258,68540819,68667035,68758647,69238464,69287082,69330844,69391099,69497555,69725388,69877347,69930497,69952087,70074369,70100439,70216907,70326635,70457783,71191402,71205724,71257018,71511274,71566725,71567555,71765408,71915312,71918506,72408411,72729684,72870150,72951132,72977608,72985745,73201047,73299325,73336008,73353066,73531834,73794632,73906043,73989201,74340019,74376599,74398108,74450435,74516919,74550940,74623738,75044074,75135994,75171939,75534999,75880449,76248487,76259319,76337840,77027626,77144074,77240028,77728160,77772579,77821324,77893272,78017308,78133162,78396666,78476808,78989847,78999427,79379292,79418140,79428010,79433623,79518844,79530325,79701006,79757555,79916019,79927363,79983300,80136705,80231063,80262625,80282746,80447628,80554839,80736084,80753207,80904726,81000154,81208072,81335674,81752819,81999178,82037859,82099809,82210807,82389399,82400442,82503009,82855499,82880547,82898987,82957858,83018961,83061820,83230647,83397066,83427274,83798555,84391962,84602435,84777224,84858465,85110819,85315520,85318120,85318647,85479152,85744858,85764007,85837883,85880070,85881066,85933498,85960459,86443690,86605835,86699740,87042147,87086685,87444180,87582894,87602074,87629931,87709948,87864099,87959190,88286409,88596885,88600235,89152439,89299063,89340522,89461128,89490538,89685274,89775703,89986568,90101578,90444147,90515696,90915639,91359081,91424249,91605408,91645687,91654179,91735579,92062603,92126242,92181418,92323059,92456547,92694619,92741285,92817923,92892464,92956235,93092842,93134939,93273792,93387586,93413290,93653619,93743555,93823136,93843274,94012138,94117047,94453564,94503344,94562140,94742483,94854443,94882150,95106147,95259706,95301768,95303319,95313612,95374377,95436390,95610405,95709066,95918074,95979960,95982885,96164046,96315150,96338827,96416547,96612279,96878626,96908385,97103719,97393047,97578940,97580746,97649992,98173463,98234979,98255098,98356483,98398209,99500266,99540023,99614219,99645658,99674184,99900710,...,4347639004231923069352584517560362649296026367944674872772794390430983423271462237546927184632826999619149246117690352406076589151250309127673845683663746849402998538217460987353998343533351588130576873773446944285458862845467376757246569306100554754354879555873613613732546134153286922170227998770964229250912838436420265433339656666082385716004277041927876652646951135425059155571761850113409714499529546678888293353402314560589070413598940772243612168682827176205692058496714068222839012726708841391494684371431888229313523710786605889323122465196551288195044758954593317747942270546593734176437862011158656383289253666200765160240448942048695747052123973524707716280944415904409156509748691678043867423239410122897381331705166381987068091733224066390271773738135467709232692380157820335989065418157965771792572551015672188489652301190240642498555546125562533818275731610564776472024235114395191519738734347661316748518612442895437154545165379901781467310810596272431583484789549259609593835645913908699932574715597015854352631678176983495961197925113543263023330968731394639031503856628311763689103894737559746187956055850498236288977808806906824706083372830053982764428098089542982560870395249102668236841954957396851556234388682155835019757656347153575113587781369743231494182879018800277585310993451413937617980882847478082409406543905985892383745026583057122163406013077696799658205678709637846981292740214570292346154806907011163067910692607790067286499089702439553731990044037662007136198373618941242666272789854944401634027175577861901779299264638399666531337034765969607894644681897312192572588855940051691225162421678752983918346146077958730475150567204915825214470424963968874611895044163227617501218772046002189304950255235893823978775285295625728624830087327239546497851523100081062692360539782419231398626709124924540090688041284106785668616147477980532478569594254478299447621097863724589980278701778860728773906907814967794159793566825624004007963083230456939114898050627092050327803465044163460253922478990822664525685094807368326238421270957892880954372788939176647378076411262831578954954401883306241604716184228943792786759636535320483554959128847864270048571870751848447354420963562615791617853056071763836521304589569107909776225442213816654366785410627692775937153183144727792783966481076545300712058274528750929280648841438382935148767706009475717758837893536403661803127766333884889313295771946204561598789137387822620270381076100958631334663366757639078496360062726424267}
15718  6475029800979830113236504364417848317704366609704098920623804232: {736537,1110937,1160246,1390981,1944692,2096966,2134597,2283878,2319781,2597017,2695412,2945396,2965657,3030086,3320132,3402326,3638456,3882217,3973477,4093263,4193396,4442612,4567172,4882117,4885526,5140088,5513881,5782599,5962981,6410281,6588697,6679796,6855781,6909878,7051652,7290735,7476457,7776784,8165492,8444677,8553206,8619781,8748882,8881897,8884088,9317317,9548511,9664357,9994599,10105215,10139252,10377656,10526917,10754372,10778896,11266166,11367275,11382277,11621103,11674863,12126258,12163286,12176367,12230437,12314857,12483481,12521126,12624815,13155097,13413206,13489287,13640730,13946726,13988137,14064063,14318835,14319337,14401957,14495675,14550112,14915972,14978281,15149778,15186566,15192951,15273424,15387781,15457407,15551077,15721215,15891878,15958057,16039237,16058675,16254452,16328888,16368876,16388735,16740212,16769296,17168197,17182602,17329715,17394810,17470406,17806981,18035450,18369999,18401675,18554464,18835177,18865458,18946239,19129407,19270410,19282052,19383878,19389111,19666482,19833935,20043807,20367092,20529047,20555104,20728196,20795658,20873772,21466777,21642540,21689732,21965078,22006887,22073881,22082010,22222959,22656155,22988486,23050597,23082275,23085376,23124492,23423017,23487092,23498246,23554144,23800722,23861675,23941381,24088837,24112815,24562052,24669359,24682646,24769527,24894697,25041939,25185577,25507635,25720336,25897551,25928511,25971048,25979557,26122981,26198675,26498412,26719055,27060212,27108991,27187386,27196886,27208144,27400837,27695846,27698730,27751657,27891481,28239781,28404271,28586281,28634010,28935378,29068357,29191911,29201746,29217429,29327210,29539835,29545312,29552307,29584376,29662196,29685615,30335078,30493417,30542944,30609162,30828037,30867275,31045688,31152278,31425817,31438410,31489359,31662212,31664656,31755397,31803446,32062866,32251703,32311055,32346483,32603881,32775878,32797957,32834372,32997727,33102447,33233336,33238476,33282423,33376297,33498879,33534304,33582278,34012057,34201381,34241135,34360812,34446763,34752275,34926399,34936196,34993343,35055447,35184278,35192652,35241135,35261977,35315555,35340466,35447802,35622738,35821046,35867012,35937157,35994543,36180517,36362281,36679796,36929846,37027652,37040730,37105978,37142437,37209939,37261381,37387503,37402886,37439257,37590544,37726092,38069492,38188406,38317688,38619155,38647172,38727130,38773266,39339332,39407675,39510112,39800132,39973657,40252837,40577530,40677878,41064692,41089362,41439215,41554527,41621737,41702730,41716780,41732675,41748146,41782981,41923671,42096452,42289362,42315781,42378666,42474217,42684457,42891527,43107399,43256677,43373816,43737878,43769317,44196607,44274757,44342966,44448876,44482912,44495763,45117481,45289796,45396326,45445911,45458437,45616835,45699817,45876754,46158650,46177177,46224517,46300335,46318981,46342986,46430583,46472556,46756927,46879717,46968056,47018281,47139610,47257503,47289210,47608498,47925481,48510826,48586981,48684111,48693036,48795543,48890137,48954278,49021172,49246196,49387024,49443781,49469675,49685078,49727058,49778437,49958007,49990490,50043276,50060136,50079210,50190277,50374131,50441824,50486380,50558703,50761535,50794537,51265652,51271647,51459781,51541919,51727657,52229435,52255756,52383092,52475555,52606196,52730587,52835737,52839063,53008540,53027799,53120281,53225797,53417824,53641381,53841327,53879017,53903915,54079897,54102275,54113336,54502287,54559046,54634981,54699878,54740202,54824696,54857497,54975503,55014277,55390380,55541846,55560402,55623397,55653097,55679063,55800517,55937396,56061337,56231977,56317653,56567532,56747052,56795078,56835481,56888617,56915077,56933606,57041396,57149977,57592196,57771877,57795817,57843481,57922292,57957275,57967900,58031257,58294522,58361972,58372856,58414981,58520463,58630981,58691396,58777897,58875947,58994246,59001637,59018127,59080837,59083072,59197477,59292697,59330281,59363610,59538278,59595400,59646759,59687151,59892457,59983235,59988588,60095052,60130597,60323881,60350006,60394981,60464281,60552692,60583656,60759877,60783781,60842281,60865177,60877503,60913842,60975337,60985957,61037675,61058281,61201381,61219237,61273610,61452339,61485097,61503781,61620997,61625497,61634281,61666537,61677783,61700377,61719781,61762117,61763557,62187332,62517755,62548359,62675322,62750435,62759535,62794732,62925898,62928951,62970666,63138010,63321184,63413606,63598196,63610248,63676406,63855407,63923012,64169007,64237587,64570303,64684698,64883675,64922730,65370566,65487615,65538220,65542772,65669463,66468456,66795610,66912806,66943504,67044825,67048052,67155332,67295126,67342300,67383767,67691252,68012140,68119412,68156613,68231096,68560166,68653892,68667207,69250912,69301180,69548730,69561480,69853456,69863855,69935078,70259675,70430726,70471715,70554278,71057063,71236332,71292566,71300735,71514480,71561529,71979882,72123400,72127835,72268886,73245210,73525231,73528332,73744196,73785035,74059892,74074646,74180071,74185312,74198912,74480372,74651080,74653355,74669366,74777013,74794258,75021306,75110132,75300522,75311442,75319796,75329410,75378278,75765612,76282112,76366196,76391675,76664486,76759983,76971971,77178147,77374415,77710515,77818646,77860410,77907276,78128224,78256665,78278487,78449396,78585138,78645864,78672903,78738247,78752435,78760772,79174311,79201234,79359416,79410278,79522886,80154732,80414835,80453790,80641046,80810760,81138825,81194726,81280906,81614568,81746675,81858692,82047979,82073126,82095244,82690426,82725878,82891216,83051104,83161416,83265878,83389047,83458476,83473776,83595039,83805812,83836626,83946155,83982465,84311610,84550415,84566058,84864278,84927812,84929603,85443743,85560882,85775824,85817376,86198144,86533526,86548080,86553402,86663555,86694063,87156735,87214911,87224786,87354326,87513671,87894252,87963878,88467878,88476597,88542042,88874612,88975736,88995863,89007155,89067926,89073964,89236378,89279343,89496631,89581296,89584026,89706760,89894140,89932384,90395292,90447826,90447878,90679796,90912105,91021688,91034727,91043151,91131359,91188915,91222010,91416278,91579839,91670010,91678196,91799606,91816389,91990406,92243290,92317952,92382776,92849298,92967184,92997635,93169796,93188675,93252618,93432492,93467252,93501898,93556593,93907998,94143206,94502922,95236166,95422300,95685446,95850706,96497802,96544548,96550035,96972912,97011686,97160200,97268176,97276655,97366590,97521635,97601396,97781344,97791878,97804088,98096010,98647787,98652268,98789559,99066278,99224115,99272675,99290247,99355892,99398555,99636218,99979125,...,5796852005642564092470112690080483532394701823926233163697059187241311231028616316729236246177102666158865661490253803208102118868333745503565127578218329132537331384289947983138664458044468784174102498364595925713945150460623169009662092408134073005806506074498151484976728178871049229560303998361285639001217117915227020577786208888109847621339036055903835536862601513900078874095682466817879619332706062238517724471203086080785427218131921029658149558243769568274256077995618757630452016968945121855326245828575850972418031614382141185764163286928735050926726345272791090330589694062124978901917149348211541844385671554934353546987265256064927662736165298032943621707925887872545542012998255570725156564319213497196508442273555175982757455644298755187029031650847290278976923173543760447985420557543954362390096734687562917986203068253654189998074061500750045091034308814086368629365646819193588692984979130215088998024816590527249539393553839869041956414414128363242111313052732346146125114194551878266576766287462687805803508904235977994614930566818057684031107958308526185375338475504415684918805192983412994917274741133997648385303745075875766274777830440071977019237464119390643414493860332136890982455939943195802074979184909541113359676875129538100151450375159657641992243838691733703447081324601885250157307843796637443212542058541314523178326702110742829551208017436929066210940904946183795975056986952760389794873075876014884090547590143720089715332119603252738309320058716882676181597831491921656888363719806592535512036234103815869039065686184532888708449379687959477192859575863082923430118474586735588300216562238337311891128194770611640633534089606554433619293899951958499482526725550970156668291696061336252406600340314525098638367047060834304833106783102986061997135364133441416923147386376558975198168945499899386787584055045475714224821529970640709971426125672637732596828130484966119973704935705147638365209210419957058879724755767498672010617444307275918819864067502789400437071286725551280338563305321096886034246793076491101651228361277190507939163718585568863170768548350442105273272535844408322139621578971925057049012848713760644739945505130485693398095827669131263139227951416821055490470741429018448695072786092143879701633922951755539155713880836923701249537577526303723711955308102060400949411032705001239040865121917843913531690274679300957011783858048538215737503688445179852417727695928272748798385516517096827027174768134611508446217822343518771328480083635232356}
15719  6503625694081915541019850549939578207413804193608743651961478180: {1740369,2430865,2917038,3145449,3183649,3369265,3425817,3681745,4043118,4150165,4418094,4497577,4545129,4548070,4689217,4980198,5001601,5065609,5103489,5241745,5457684,5553265,5708965,6130489,6290094,6378097,6425110,6663918,6804686,6850758,7065817,7328289,7710132,7773577,7935598,8096737,8258617,8349745,8634721,8814565,9064774,9080449,9431534,9720980,10019694,10156201,10206865,10364817,10449889,10499137,10577478,10915717,11105110,11320238,11527417,11665176,12001249,12248238,12674065,12731348,12829809,12972070,13123323,13170901,13326132,13364246,13442965,13473620,13581601,14099749,14287777,14673134,15071654,15208878,15291001,15451606,15494804,15566484,15689929,15756529,16131558,16168344,16219717,16235156,16579918,16899249,16916569,17339377,17508998,17533561,17985716,18187640,18189387,18244929,18362377,18455726,18606661,18644965,18752084,18781689,19068817,19091780,19395589,19511809,19887337,20119809,20199704,20257268,20309806,20318065,20411110,20461095,20609876,20920089,20925265,20961620,21083521,21321409,21766657,21825168,22019366,22038409,22373958,22505294,22724667,22779849,22788937,22910136,23193080,23727397,23805001,23807126,23837817,24084289,24102565,24381678,24493332,24553314,24809798,25110318,25153944,25261652,25458865,25501201,25505876,25693880,25773903,25852148,25886329,25910245,26092215,26205609,26221976,26725076,26786917,26856577,27053175,27112165,27164977,27647701,27706574,27727544,27728389,27831696,28195894,28298187,28548817,28585441,28856720,28905615,28923078,29075817,29079169,29342516,29358865,29442680,29499723,29630612,30550638,30648469,30702565,30832656,30914257,31092294,31193487,31310658,31375846,31586209,31734296,31947529,32150420,32159521,32463810,32534598,32891726,32947617,33026036,33123015,33389252,33527977,33612337,33825265,33828814,34010180,34482729,34530068,34571348,34628064,34686738,35230638,35247369,35331216,35701083,35898806,35968537,36131329,36249848,36843078,36931640,36980470,37023969,37077745,37208566,37566049,37728406,37782361,37952089,38132758,38178680,38580504,38751241,38807110,38906929,38922548,38956572,39360854,39403076,39577765,39580820,39747618,39919417,40266181,40500217,40590318,40781079,40795329,40812216,41003017,41042965,41097049,41541670,41543769,41548095,41704238,41779478,41917880,41985812,42637366,42750488,42830534,42951015,43128644,43213646,43403067,43670245,43679977,43802619,43990815,44024881,44136596,44317968,44376564,44493294,44665172,44833765,45431977,45477049,45502617,45684001,45814416,45849745,45913743,46284565,46568532,46728417,46740596,46867717,46888238,46923536,46924966,46988180,47157615,47263736,47349169,47493318,47496984,47586865,47684857,47705169,47897110,47971609,47992724,48055969,48094299,48308965,48354049,48803089,49026409,49163817,49174165,49251541,49251558,49387640,49613252,49750165,49850004,49857714,50301456,50364217,50373417,51037249,51076249,51330865,51541218,51682177,51697688,52009177,52060537,52145975,52404294,52620565,52776417,52788978,52799617,53010699,53171703,53434107,53482438,53668417,53731569,53800518,54217270,54307081,54785816,55019694,55394769,55406036,55541478,55561095,55603640,55658967,55898228,55987657,56104329,56385816,56504888,56589138,56612245,57104238,57282609,57476532,57505286,57970758,58090695,58159899,58226197,58575566,58632937,58708117,58710070,58963201,59008998,59108641,59265168,59327684,59700198,59702209,60234166,60236389,60594548,60613201,60866295,61016817,61121774,61145326,61276465,61557745,61597038,61634043,61733780,61790648,61907444,61963408,61965637,62554095,62575170,62622219,62686081,63010004,63052280,63107975,63144678,63343717,63434043,63567999,63906601,64082065,64881326,64912148,64924048,65060724,65093989,65183689,65319695,65478865,65550001,65606817,65757745,65862758,65929417,66045097,66260675,66302744,66514449,66610676,66673314,66724368,66735049,66746848,66772280,67152661,67165508,67411604,67519177,67641670,67934694,68094489,68362196,68472409,68530870,68549617,68815131,68830201,69027769,69237975,69284449,69344326,69439489,69514479,69577861,69708834,69921745,70208401,70452084,70467001,70504166,70703732,70709415,70794097,70929769,70933815,71301745,71412747,71632969,71788436,71990245,72402865,72428257,72459875,72529814,72623041,72669716,72766239,72952465,72966070,72986936,73039554,73364245,73396129,73431417,73531758,73734001,73853840,73869294,74080536,74118817,74494250,74527617,74590587,74985735,75053846,75064914,75090204,75118815,75364201,75369529,75375697,75408169,75423376,75662736,75690865,75729570,76443086,76898478,77734165,77834198,77853769,78027284,78293017,78383634,78493415,78574638,78690836,78781366,78909294,79151480,79314598,79361017,79497745,79512810,79529012,79582868,79643977,79903765,79984784,80040229,80126736,80517601,80778208,80834929,80974057,80990038,81170004,81218456,81325486,81346286,81372217,81464689,81838569,81922775,81928465,81936452,82049817,82110303,82182638,82187017,82237044,82633849,83085570,83268289,83312769,83340603,83397812,83567096,83679380,83810065,83905268,83906094,83944165,83960888,84177875,84309014,84524101,84614065,84813664,84851298,84994598,85015175,85099201,85109654,85120578,85149265,85192617,85288870,85400409,85558676,85562094,85578577,85650116,85817365,86246264,86388294,86563640,86579209,86626475,86736709,86883438,86951850,87036697,87293797,87316820,87326521,87441783,87542958,87559284,87899617,88037094,88235089,88491369,88511509,88624608,89045415,89307417,89353198,89393100,89927534,89982882,90113366,90142578,90154250,90525009,90829038,90875484,91203446,91223737,91259929,91329814,91370763,91462777,91556276,91757737,91910415,92109349,92180245,92574865,92609174,92651809,92716081,92717606,92731640,92748640,92984507,93100465,93280998,93313850,93855566,93887665,94012983,94149745,94192098,94388847,94455999,94707015,94755001,94818529,94981776,95075497,95120409,95352640,95397294,95415372,95446849,95457745,95514609,95685937,95884518,95973176,96036457,96127657,96133849,96695686,97027047,97201189,97296577,97384095,97636297,97660280,97943078,98037776,98055849,98061745,98307330,98314158,98317321,98450965,98457289,99199270,99352198,99481489,99513038,99702684,99742009,99872377,...,8695278008463846138705169035120725298592052735889349745545588780861966846542924475093854369265653999238298492235380704812153178302500618255347691367327493698805997076434921974707996687066703176261153747546893888570917725690934753514493138612201109508709759111747227227465092268306573844340455997541928458501825676872840530866679313332164771432008554083855753305293902270850118311143523700226819428999059093357776586706804629121178140827197881544487224337365654352411384116993428136445678025453417682782989368742863776458627047421573211778646244930393102576390089517909186635495884541093187468352875724022317312766578507332401530320480897884097391494104247947049415432561888831808818313019497383356087734846478820245794762663410332763974136183466448132780543547476270935418465384760315640671978130836315931543585145102031344376979304602380481284997111092251125067636551463221129552944048470228790383039477468695322633497037224885790874309090330759803562934621621192544863166969579098519219187671291827817399865149431194031708705263356353966991922395850227086526046661937462789278063007713256623527378207789475119492375912111700996472577955617613813649412166745660107965528856196179085965121740790498205336473683909914793703112468777364311670039515312694307150227175562739486462988365758037600555170621986902827875235961765694956164818813087811971784767490053166114244326812026155393599316411357419275693962585480429140584692309613814022326135821385215580134572998179404879107463980088075324014272396747237882485332545579709888803268054351155723803558598529276799333062674069531939215789289363794624385145177711880103382450324843357505967836692292155917460950301134409831650428940849927937749223790088326455235002437544092004378609900510471787647957550570591251457249660174654479092995703046200162125384721079564838462797253418249849080181376082568213571337232294955961064957139188508956598895242195727449179960557403557721457547813815629935588319587133651248008015926166460913878229796101254184100655606930088326920507844957981645329051370189614736652476842541915785761908745577878353294756152822525663157909908803766612483209432368457887585573519273070640967109918257695728540097143741503696894708841927125231583235706112143527673042609179138215819552450884427633308733570821255385551874306366289455585567932962153090601424116549057501858561297682876765870297535412018951435517675787072807323606255532667769778626591543892409123197578274775645240540762152201917262669326733515278156992720125452848534}
15720  6532346883411142497911776225817644961225279371050738313045417578: {580271,642839,830351,923999,1111079,1142231,1235639,1473074,1577519,1763591,2134871,2165759,2221874,2320492,2350919,2781839,2781962,2996711,3455831,3516911,3889384,4156319,4193932,4269194,4277711,4338359,4375557,4520111,4567756,4639562,4731791,5184071,5194034,5334431,5390824,5514599,5890792,5931314,5963759,6060172,6064677,6142919,6440879,6589559,6619271,6627141,6640264,6767711,6804652,6822105,6856679,6975191,7034399,7276912,7300439,7418471,7470297,7654151,7764434,7918679,7946954,8186526,8299631,8386792,8650079,8885224,9057479,9134344,9260591,9347519,9435141,9637665,9694511,9752231,9764234,9771052,9925199,9995877,10207029,10276137,10280176,11027762,11241719,11497319,11554031,11565198,11893631,11903397,11925962,12151225,12260231,12344639,12681551,12820562,13017311,13177394,13359592,13435391,13597161,13711562,13819756,13851671,13907039,14072951,14103304,14147301,14266151,14486471,14581470,14678831,14952914,15007679,15029541,15417119,15553568,15580391,15866217,15906071,15914185,15960239,15987311,16330984,16473239,16657665,16842025,16889354,16929791,16980357,17036879,17106412,17239562,17250671,17437319,17497764,17650151,17674741,17763794,17768176,17835959,18206399,18372357,18522671,18601559,18634634,18706631,18759119,18994919,19097022,19328714,19368505,19458105,19698431,19989198,20035079,20046369,20210430,20278504,20293945,20396111,20550359,20755312,20960279,21053834,21317279,21508744,21557792,21622031,21875111,22009701,22177751,22228079,22482145,22532332,22607481,22734550,22754591,22764554,22813317,22944229,23053871,23177409,23242206,23349726,23376791,23440105,23451119,23864725,23944799,24092279,24116831,24197337,24252516,24261601,24326572,24352734,24460874,24484151,24629714,24869877,24898271,24922559,24966962,25042252,25249630,25321585,25623431,25762345,25791599,26007239,26126759,26202025,26263497,26310194,26412791,26626559,26826412,26978574,27281460,27404831,27428279,27568799,27683589,27755711,27767509,27779039,27893452,27895559,27976274,28128126,28452071,28637670,28638674,28803914,28935239,28991350,29095511,29100224,29154697,29209751,29823191,29831944,29956562,29981279,30228911,30299556,30318719,30373132,30385902,30464709,30520319,30546848,30616665,30775562,30914814,30965999,31102154,31298159,31442430,31577065,31718617,31760159,31782071,31783756,31847759,31882345,31891511,31916114,32078474,32087999,32117350,32218631,32315185,32508904,32657776,32737752,32777470,33029049,33082151,33406345,33480424,33509111,33538592,33560937,33572879,33657791,33757941,34038311,34290551,34332479,34336394,34365204,34659430,34708391,34789620,34853879,34916111,34940812,34978271,35019671,35267399,35287991,35349719,35575439,35613962,35698151,35710689,35840951,36046021,36070900,36145631,36186119,36206351,36572517,36678145,36739998,36803350,36829971,36969239,37038265,37108928,37148231,37214697,37406677,37563359,37665477,37670354,37730916,37740191,37798991,37892478,38115649,38150279,38258814,38383031,38540820,38564104,38633879,38749199,38767756,38778222,38806751,38921639,38959871,39207599,39302519,39332964,39472871,39667870,39755351,39886559,40087614,40091951,40147799,40188025,40222151,40333439,40734184,40976879,41049791,41058094,41110208,41158919,41249639,41282545,41355769,41376311,41412431,41456392,41559861,41591316,41646431,41736565,41747544,41807639,42293841,42393191,42481151,42498719,42512725,42917951,42933554,43162585,43214185,43263791,43280999,43285080,43379464,43384079,43384617,43691591,43742591,43827431,43930156,44013774,44147762,44164020,44231879,44282111,44445918,44548799,44747471,44796959,44977799,45026951,45125039,45235477,45239111,45271631,45312310,45482231,45562871,45723551,45825957,45947159,45976972,46010759,46101194,46153391,46164550,46170752,46248119,46248984,46342559,46436711,46638441,46794959,46846034,46887719,46903151,46965987,46974184,46996492,47026319,47041679,47063769,47108288,47601444,47634479,47723350,47844311,47882762,47889071,47937589,48177674,48225630,48391319,48508151,48595439,48609959,48653185,48695715,48769151,48801897,48913031,48984671,49084631,49124104,49253845,49297511,49337589,49338718,49365292,49368071,49441777,49476025,49539054,49745639,49789394,49870199,49952879,50083878,50090039,50131031,50239991,50361959,50371154,50536991,50644031,50743221,50803631,50816879,50896199,51015270,51171551,51391871,51440672,51469079,51481919,51558791,51622631,51795102,51857022,51942096,51959114,52001471,52030107,52245962,52311671,52397350,52482265,52519751,52604759,52785599,52845957,52952759,52996824,53200559,53410151,53438110,53525471,53651399,53662799,53848209,53910805,54056759,54066817,54120424,54200591,54217982,54233591,54266519,54374772,54393772,54416288,54451751,54645359,54801674,54878471,55024799,55170745,55264617,55391692,55397460,55470705,55484519,55503314,55663871,55723079,55762391,55782962,55811351,55812849,55821119,55831465,55879559,55966679,56100911,56336711,56475791,56479562,56530919,56585759,56592609,56808542,56855639,56899919,56908751,56935199,57040271,57161399,57172562,57199137,57268020,57449039,57498839,57589391,57735479,57783599,57815519,57863159,57870756,57949751,58014901,58089359,58136714,58142951,58210665,58248959,58271471,58383822,58403492,58425745,58434858,58478111,58643159,58650239,58654420,58685519,58735225,58766917,58797071,58933631,59020679,59041281,59079670,59090624,59104614,59119439,59168752,59177831,59209991,59305271,59324392,59342879,59349119,59371230,59398751,59417231,59435639,59478311,59586239,59621427,59639231,59726111,59877959,59986679,59990905,60055631,60097391,60112919,60322751,60341999,60384839,60413039,60454799,60477719,60611039,60636839,60670156,60712511,60724871,60773591,60801479,60825071,60856079,60885477,60890351,60913177,60967799,60982151,60986834,61010471,61041719,61062191,61085711,61085888,61105559,61112111,61134791,61169639,61218324,61233479,61313111,61334711,61353191,61368719,61411151,61462631,61499759,61501871,61520519,61597271,61612319,61617191,61632911,61640471,61641959,61649279,61656074,61670039,61677839,61682879,61688999,61697231,61713551,61730759,61734550,61747559,61754951,61761911,61768991,61775111,61779239,61779551,62016565,62091376,62229541,62304556,62312505,62556357,62669217,62851634,62876820,62978718,63324424,63329312,63510794,63606892,63863569,63956049,64125732,64245801,64503406,64622110,64692966,64820469,64971049,65207762,65551756,65595914,65668744,65802529,65995454,66204894,66466672,66476952,66564846,66739941,66752594,66997758,67068608,67164556,68024114,68402762,68482270,68721624,68893526,69257545,69504550,69852798,69872392,69872785,69986686,70110894,70114297,70332357,70368556,70385304,70387449,70482270,70523954,70631110,70680932,70895604,71066149,71239977,71245476,71642092,71734024,71845665,71874314,71989086,72361034,72724562,73121209,73359592,73465777,73859692,73877337,74055304,74081460,74159605,74211956,74284874,74419878,74522762,74775006,74786571,74805772,74878514,75181088,75311269,75452184,75465481,75743185,76138984,76376812,76635376,77167225,77238310,77294344,77311827,77384305,77454260,77546532,78606441,78678664,78762505,78815350,79020224,79183467,79600264,79635361,79947314,80223657,80505674,80700777,81140185,81155060,81325905,81355756,82129384,82178724,82529541,82878430,83109054,83243474,83263345,83312217,83405460,83433560,83465350,83496292,83565962,83847342,83956885,83976529,84192904,84264505,84578724,84631562,84757332,84883707,84948434,85368914,85452745,85656357,85783054,86027497,86214798,86257929,86513354,86747632,86956137,87475756,87524857,87538634,87850609,87863349,88065105,88379665,88393214,88513497,88549514,88685932,88897752,88965824,88991526,89550297,89735545,90234962,90351249,90579592,90786817,90792652,90837145,90891822,90916874,91233670,91399634,91682661,91717989,91753508,92317300,92354354,92395557,92449034,92600670,92637962,92685972,92861166,92945112,93513854,93759434,93862755,93936112,94036562,94279220,94515006,94578420,94717017,94921321,95216996,95850962,97021652,97173962,97321989,97368222,97386072,97534105,97591086,97780274,97809397,97908556,98042344,98363545,98492392,98660401,98774048,98794137,98887562,98939350,99370156,99411265,99454116,99478585,99556874,99821029,99916014,99980980,...,13042917012695769208057753552681087947888079103834024618318383171292950269814386712640781553898480998857447738353071057218229767453750927383021537050991240548208995614652382962061995030600054764391730621320340832856376588536402130271739707918301664263064638667620840841197638402459860766510683996312892687752738515309260796300018969998247157148012831125783629957940853406275177466715285550340229143498588640036664880060206943681767211240796822316730836506048481528617076175490142204668517038180126524174484053114295664687940571132359817667969367395589653864585134276863779953243826811639781202529313586033475969149867760998602295480721346826146087241156371920574123148842833247713227469529246075034131602269718230368692143995115499145961204275199672199170815321214406403127698077140473461007967196254473897315377717653047016565468956903570721927495666638376687601454827194831694329416072705343185574559216203042983950245555837328686311463635496139705344401932431788817294750454368647778828781506937741726099797724146791047563057895034530950487883593775340629789069992906194183917094511569884935291067311684212679238563868167551494708866933426420720474118250118490161948293284294268628947682611185747308004710525864872190554668703166046467505059272969041460725340763344109229694482548637056400832755932980354241812853942648542434247228219631717957677151235079749171366490218039233090398974617036128913540943878220643710877038464420721033489203732077823370201859497269107318661195970132112986021408595120856823727998818369564833204902081526733585705337897793915198999594011104297908823683934045691936577717766567820155073675487265036258951755038438233876191425451701614747475643411274891906623835685132489682852503656316138006567914850765707681471936325855886877185874490261981718639493554569300243188077081619347257694195880127374773620272064123852320357005848442433941597435708782763434898342863293591173769940836105336582186321720723444903382479380700476872012023889249691370817344694151881276150983410395132490380761767436972467993577055284422104978715263812873678642863118366817529942134229233788494736864863205649918724814148552686831378360278909605961450664877386543592810145715612255545342063262890687847374853559168215291509563913768707323729328676326641449963100356231883078327811459549434183378351899443229635902136174823586252787841946524315148805446303118028427153276513680609210985409383299001654667939887315838613684796367412163467860811143228302875894003990100272917235489080188179272801}
15721  6561193913646998483566210965546526266560364866218487372786081700: {2209611,2900615,3332811,3403211,3480738,4172943,4716971,4861730,5154443,5242415,5346539,5661563,5709695,5810231,5834076,5910983,6290898,6367298,6403791,6738530,6851634,6851723,6959343,7338443,7363490,7410491,7537751,7575215,7774571,7791051,7992551,8086236,8300330,8350511,8505815,8836188,8896971,8995154,9090258,9096140,9230219,9378434,9568871,9854543,9960396,10003202,10131218,10206978,10483490,10500479,10915368,11106530,11170571,11417930,11448191,11528891,11646651,11689643,11920431,12002783,12199919,12213815,12260978,12279789,12340391,12408071,12580188,12756194,12850220,13327511,13327836,13609372,13623311,13701516,14079239,14131634,14289611,14646351,14656578,15420264,15547154,15758543,15871196,16050983,16193474,16221791,16517234,16541643,16699490,17269442,17274695,17347797,17535803,17629130,17682731,17743691,17888943,18071183,18127919,18129548,18160898,18705599,18820151,18863068,19230843,19441960,19514303,19766091,19889879,20039388,20312402,20413730,20491991,20567343,20729634,20857451,20899778,20998274,21154956,21383015,21420743,21677423,21700991,21769451,21831434,21872205,22210220,22429371,22640476,22791851,23054834,23330352,23730431,24002498,24496476,24631163,24884831,25334031,25348130,25462696,25659618,25724231,25735943,25843499,25859343,25944140,26102951,26246646,26341802,26645691,26652264,26728492,26885930,26947240,27163202,27317351,27951951,28133183,28165415,28199498,28379723,28445291,28575554,28645533,28993071,29295371,29346268,29554439,29938319,29983797,30137783,30143308,30315645,30408215,30417756,30582002,30903212,30989608,31132968,31302815,31379858,31513058,31580751,31739591,32263116,32336688,32439434,32470312,33065423,33159836,33533015,33739511,33743591,33798498,33833138,33953579,34101825,34146831,34377419,34678754,34805831,34863309,34866815,35017996,35024589,35067122,35642411,35971432,36274343,36375280,36378774,36489858,36529101,36535031,36691311,36724754,36911452,36944571,37213322,37289930,37450443,37504168,37563378,37874445,37957031,37966415,38137634,38183560,38791178,39023618,39063119,39465291,39625403,39723671,39729695,39774674,40156811,40239618,40399408,40467861,40514536,40619612,40636130,40822220,40922190,41102411,41219752,41840178,41850530,41923240,41964411,42167042,42192189,42508271,42642818,42956505,42958011,42983591,43043159,43064111,43205871,43487025,43533314,43650336,43676015,44038732,44076818,44615819,44747916,44934843,45010588,45088625,45449334,45559698,45577874,45578853,45820272,46023659,46163343,46372221,46386160,46653231,46711751,47163645,47355371,47454794,47610002,47614252,47648171,47675634,47874171,47910671,48024251,48117711,48168578,48176025,48205130,48458111,48459695,48763356,48986664,49106628,49146443,49166205,49257863,49619596,49742123,50220636,50307888,50457431,50523304,50531639,50891591,50917730,51002402,51011752,51387760,51504591,51547806,51621791,51688811,51704296,51772658,51820490,51908843,51989145,52184430,52411218,52443952,52648199,53420943,53450152,53527031,53573834,53713154,53990183,54106350,54224330,54329954,54912695,55109997,55205025,55295402,55399151,55408871,55413148,55455088,55456778,55573391,55663392,56118551,56147999,56289419,56354831,56391788,56505531,56596374,56838717,56987711,57097634,57170882,57388221,57460151,57471215,57713440,57811230,57846156,58151634,58158338,58167333,58233671,58685032,58717730,58745615,58885360,58970879,58999446,59261224,59379191,59501805,60131421,61101276,61138343,61296938,61405130,61465391,61587141,61665312,61706615,61828514,61973591,62184588,62386974,62621316,62751692,62767271,63172418,63185099,63426311,63468592,63895058,63914939,64189643,64300840,64319042,64400331,64798391,64927620,64988351,65069196,65783452,65895234,66020661,66052072,66167231,66221643,66246030,66621611,66668877,66778504,66871871,67009259,67055954,67224674,67323023,67632551,67650530,67657628,67968465,67992215,68020360,68054039,68843831,68965458,69060136,69142696,69151791,69239615,69246825,69256128,69293471,69373476,69650231,69683783,70269051,70461276,70494738,70662432,70795919,70803359,71402166,71585025,71633783,71783879,71797612,71824143,71863211,71937074,72262658,72266511,72338445,72499696,72632363,72645743,72764351,72971903,73004365,73318025,73668791,73685819,73686156,73743659,73863280,73960940,74008077,74047938,74128331,74155490,74308581,74417132,74684091,75084839,75125817,75132098,75456812,75525983,75556731,75564722,75837695,75904178,76206671,76265516,76357360,76522905,77148683,77161008,77468183,77502482,77614220,77692653,77785533,77813858,77845096,77880695,77913144,77938671,78368943,78457931,78596025,78721708,78806152,79155530,79161640,79257143,79495236,79508615,79795391,79838834,80157165,80532362,81000434,81180636,81326973,81344783,81417239,81562158,81590658,81624432,81895511,81939695,82006034,82085930,82194098,82202511,83083340,83087538,83096190,83254971,83279183,83408476,83558956,83665751,83674443,83835760,83955695,83971624,84719343,84924011,85212813,85274732,85500976,85597031,85661068,85758843,85787051,85902030,86070539,86180843,86257288,86427292,86503871,86806134,87140183,87205071,87340490,87359954,87370811,87575733,87605238,87652287,87960695,87981630,88049762,88273192,88351165,88568159,88619505,88635936,88656921,88753128,88986588,89056845,89066783,89330344,89410103,89552615,89667530,89714891,89786423,89884343,90196343,90863954,90945419,90954098,91005234,91368002,91447573,91480251,91552031,91628832,91670411,91699490,91827486,92060843,92324615,92484111,92528111,92569130,92601825,92718551,92764945,93137064,93456834,93481192,93507215,93735434,93776476,93847072,93849932,93976360,94277451,94315230,94468077,94527472,94552043,94615751,94698338,94986636,94993968,95088059,95173730,95266191,95369714,95410338,95471015,95794220,95858999,95943218,95985448,96111938,96156491,96188598,96617930,96708098,96755109,96817825,96933165,97039449,97130111,97213871,97606178,97811643,97890443,98052818,98327634,98348330,98393871,98503082,98503116,98775280,98993181,99226504,99285911,99307341,99500330,99700008,99715428,99822443,99847269,...,17390556016927692277410338070241450597184105471778699491091177561723933693085848950187708738531307998476596984470761409624306356605001236510695382734654987397611994152869843949415993374133406352522307495093787777141835451381869507028986277224402219017419518223494454454930184536613147688680911995083856917003651353745681061733358626664329542864017108167711506610587804541700236622287047400453638857998118186715553173413609258242356281654395763088974448674731308704822768233986856272891356050906835365565978737485727552917254094843146423557292489860786205152780179035818373270991769082186374936705751448044634625533157014664803060640961795768194782988208495894098830865123777663617636626038994766712175469692957640491589525326820665527948272366932896265561087094952541870836930769520631281343956261672631863087170290204062688753958609204760962569994222184502250135273102926442259105888096940457580766078954937390645266994074449771581748618180661519607125869243242385089726333939158197038438375342583655634799730298862388063417410526712707933983844791700454173052093323874925578556126015426513247054756415578950238984751824223401992945155911235227627298824333491320215931057712392358171930243481580996410672947367819829587406224937554728623340079030625388614300454351125478972925976731516075201110341243973805655750471923531389912329637626175623943569534980106332228488653624052310787198632822714838551387925170960858281169384619227628044652271642770431160269145996358809758214927960176150648028544793494475764970665091159419777606536108702311447607117197058553598666125348139063878431578578727589248770290355423760206764900649686715011935673384584311834921900602268819663300857881699855875498447580176652910470004875088184008757219801020943575295915101141182502914499320349308958185991406092400324250769442159129676925594506836499698160362752165136427142674464589911922129914278377017913197790484391454898359921114807115442915095627631259871176639174267302496016031852332921827756459592202508368201311213860176653841015689915963290658102740379229473304953685083831571523817491155756706589512305645051326315819817607533224966418864736915775171147038546141281934219836515391457080194287483007393789417683854250463166471412224287055346085218358276431639104901768855266617467141642510771103748612732578911171135865924306181202848233098115003717122595365753531740595070824037902871035351574145614647212511065335539557253183087784818246395156549551290481081524304403834525338653467030556313985440250905697068}
15722  6590167331818112517764462132873826606459272504687644880750864896: {674197,955321,1142377,1160542,1235797,1285678,1608757,1660702,1847998,2166037,2222158,2284462,2471278,2536117,2812921,2946148,3155038,3272821,3527182,3547897,4187221,4269742,4331518,4369237,4443748,4640984,4701838,5094421,5221107,5365177,5563678,5563924,5725177,5993422,6263017,6620137,6911662,7033822,7064917,7292595,7778768,7949077,8312638,8387864,8538388,8555422,8676718,8751114,9040222,9087721,9135512,9279124,9436347,9463582,9522421,9550947,9955321,10107795,10277451,10368142,10386421,10388068,10644217,10668862,10781648,11029198,11045235,11072437,11370175,11781584,11862628,11927518,12120344,12129354,12285838,12450495,12683257,12881758,13179118,13238542,13254282,13280528,13492731,13535422,13609304,13635387,13644210,13713358,13950382,14067651,14068798,14553824,14598421,14600878,14836942,14845417,14940594,15004803,15196827,15255637,15308302,15310467,15528868,15664057,15725235,15837358,15893908,15989497,16062775,16373052,16475497,16599262,16659795,16773584,17011715,17039221,17126895,17300158,17770448,18114958,18268688,18391467,18521182,18630421,18695038,18787957,18870282,19023721,19134291,19275330,19389022,19504462,19528468,19542104,19804921,19838995,19850398,19991754,20037877,20414058,20424697,20552274,20560352,20963221,21197451,21953977,21984867,22055524,22279859,22331797,22483438,22661935,22994638,23108062,23130396,23320731,23578835,23751097,23787262,23806794,23851924,24120277,24290211,24302450,24520462,24560917,24689278,24775851,24926137,25049235,25071721,25363102,25641124,25904163,26034622,26354788,26443695,26654137,26719184,26870782,27115907,27194322,27241347,27361897,27423124,27432277,27572821,27639512,27703342,27762775,27783097,27814078,28062457,28145902,28206608,28294602,28300595,28411523,28479337,28532302,28962421,28972942,29162940,29357662,29905828,30015358,30059082,30468603,30620595,30658921,30834238,30992821,31094451,31107136,31160782,31324921,31349667,31475003,31497411,31732434,31786837,31812142,31828370,31920478,31974622,32259931,32430175,32661968,32747151,32764777,32816147,32946478,33087157,33315330,33410615,33471637,33599221,33684050,33778708,33859582,33960714,34073758,34212824,34455551,34479124,34501342,34582251,34734517,34874638,34995528,35045737,35293417,35300302,35349482,35355157,35450219,35527588,35536352,35662777,35671918,36003747,36067283,36211957,36412798,36514537,36682835,36744714,37045342,37203118,37269268,37413262,37518238,37679135,37989838,38022195,38175721,38194044,38350357,38489427,38629015,38657428,38737010,38916210,39213817,39327721,39369969,39396862,39512703,39780457,39892921,39978396,40070158,40092738,40328895,40420860,40557008,40587890,40727221,40744803,40792222,41001721,41100718,41111017,41274421,41382997,41449795,41510624,41920558,42107668,42188137,42299247,42505657,42599843,42634558,42863331,42872821,43017488,43115584,43244062,43288117,43749817,43750222,43772495,44019402,44207891,44255977,44355502,44456158,44635283,44964290,45045767,45050857,45064664,45214962,45241259,45469100,45509182,45529108,45626634,45873003,45888458,46018537,46107742,46139315,46354818,46444597,46484412,46699452,46753582,46768883,46880210,46902238,46911157,47049721,47069787,47269587,47729450,47867497,47889598,48184558,48233662,48394674,48505032,48523202,48531157,48618421,48653144,48659151,48705468,48921748,48968302,49259428,49390837,49739754,49796542,49845118,49933924,49975477,50084504,50384437,50499260,50643170,50697747,50749707,50774515,50825977,50905321,51027775,51102421,51180757,51246862,51349403,51414037,51491221,51524690,51568117,51583198,51853571,51985897,52014478,52018131,52253518,52321237,52404050,52505017,52526994,52600683,52614421,52620388,52795321,52825582,53222137,53253118,53327221,53431657,53569897,53604277,53652824,53672821,53944117,53957148,54562920,54568161,54734787,54762217,54809662,54856558,54989539,55048415,55087131,55137598,55353877,55367178,55511422,55535018,55558078,55786904,55791118,55819983,55831957,55934895,55952548,55977577,56121397,56256252,56263235,56345067,56514517,56596921,56786677,56904142,56920057,57051637,57206451,57275340,57277348,57334777,57510421,57607828,57633721,57706837,57755221,57795563,57870478,57982700,58154857,58186767,58191022,58200448,58309394,58419502,58431191,58490197,58535427,58598377,58619797,58662421,58767721,59072821,59361721,59517815,59581177,59598997,59646382,59662011,59663888,59890921,59913124,59962558,60131221,60252757,60359427,60383977,60398197,60427619,60457822,60468217,60499859,60599112,60628921,60637438,60654697,60730297,60746264,60771804,60838837,60929418,60954195,60985321,61038421,61040638,61093696,61233330,61302517,61383285,61516537,61551124,61553257,61576297,61592821,61633717,61656937,61705321,61737721,61758457,61784917,61790137,61829628,61931998,62024495,62204308,62596318,62760267,62775795,62884860,63154130,63250563,63437234,63520318,63564142,63567512,63695518,63764690,63783022,63832228,63964227,64156948,64175998,64234700,64437262,64630370,65017808,65299971,65315552,65475504,65554940,66058098,66115227,66164302,66812690,66960848,67018222,67077184,67121874,67145758,67315582,67400971,67515882,68076622,68114459,68174001,68339547,68366811,68581102,68664958,68672788,68730408,68955383,69266435,69318860,69416782,69451811,69579240,69707758,69832222,69881624,69956542,70039342,70489735,70534798,70575982,70699438,71150878,71182191,71227924,71396302,71415003,71421378,71513451,71681902,72092042,72141800,72252867,72291262,72307695,72372238,72412702,73145034,73356290,73475171,73479996,73544003,73606700,73659942,73938478,74076530,74217856,74296462,74429394,74813354,75126718,75330954,75340708,75461832,75475127,75480382,75597982,75784956,76231298,76300558,76376595,76503603,76517628,76766062,76783967,76991623,77081640,77128208,77239043,77267758,77321709,77498398,77535512,77556444,77613502,77658987,77730735,77843278,77919742,78164051,78276645,78415198,78439615,78605038,78616827,78665928,78945742,79335740,79510702,79773118,80175228,80183902,80295598,80360751,80376050,80444302,80569731,80666878,81159525,81336495,81468368,81494931,81796043,81953758,82099582,82116188,82220416,82229315,82317838,82499278,82565090,82711538,82752622,82824862,82862351,82912784,82943103,83119722,83182632,83185167,83292862,83473130,83495088,83615278,83987267,84572035,84587682,84786382,84894561,84962302,84997438,85025450,85646451,85756323,85835902,85867108,86325170,86428370,86527582,86561998,86570160,86716845,86758928,86768158,86769234,86823191,87227451,87237507,87383182,87485182,87654862,87860312,88027548,88076595,88295524,88328040,88463758,88499169,88564222,88891836,89004227,89097598,89494942,89593918,89747015,89955598,90053902,90250078,90470954,90478222,90543262,90624620,90964462,91125742,91447102,91651914,91894318,91945407,91953944,92021518,92107695,92202388,92306782,92329100,92341504,92451175,92496238,92497968,92685118,92742771,92873422,93021415,93276882,93580461,93589918,93692068,93775438,93806302,93931974,93948368,93992984,94052638,94083358,94127538,94216576,94321015,94758627,95202888,95268958,95331895,95446700,95688622,95765524,95778142,95842587,95875178,96148379,96355348,96451260,96478563,96782638,96960563,97016302,97017775,97190878,97219918,97306370,97391430,97538302,97603794,97821899,97826062,97969342,98169262,98248208,98402135,98507690,98595022,98675178,98677436,98730584,98736142,98842851,98883554,98952050,99078108,99369045,99491278,99578788,99740398,99905758,...,26085834025391538416115507105362175895776158207668049236636766342585900539628773425281563107796961997714895476706142114436459534907501854766043074101982481096417991229304765924123990061200109528783461242640681665712753177072804260543479415836603328526129277335241681682395276804919721533021367992625785375505477030618521592600037939996494314296025662251567259915881706812550354933430571100680458286997177280073329760120413887363534422481593644633461673012096963057234152350980284409337034076360253048348968106228591329375881142264719635335938734791179307729170268553727559906487653623279562405058627172066951938299735521997204590961442693652292174482312743841148246297685666495426454939058492150068263204539436460737384287990230998291922408550399344398341630642428812806255396154280946922015934392508947794630755435306094033130937913807141443854991333276753375202909654389663388658832145410686371149118432406085967900491111674657372622927270992279410688803864863577634589500908737295557657563013875483452199595448293582095126115790069061900975767187550681259578139985812388367834189023139769870582134623368425358477127736335102989417733866852841440948236500236980323896586568588537257895365222371494616009421051729744381109337406332092935010118545938082921450681526688218459388965097274112801665511865960708483625707885297084868494456439263435915354302470159498342732980436078466180797949234072257827081887756441287421754076928841442066978407464155646740403718994538214637322391940264225972042817190241713647455997636739129666409804163053467171410675795587830397999188022208595817647367868091383873155435533135640310147350974530072517903510076876467752382850903403229494951286822549783813247671370264979365705007312632276013135829701531415362943872651711773754371748980523963437278987109138600486376154163238694515388391760254749547240544128247704640714011696884867883194871417565526869796685726587182347539881672210673164372643441446889806764958761400953744024047778499382741634689388303762552301966820790264980761523534873944935987154110568844209957430527625747357285726236733635059884268458467576989473729726411299837449628297105373662756720557819211922901329754773087185620291431224511090684126525781375694749707118336430583019127827537414647458657352653282899926200712463766156655622919098868366756703798886459271804272349647172505575683893048630297610892606236056854306553027361218421970818766598003309335879774631677227369592734824326935721622286456605751788007980200545834470978160376358545602}
15723  6619267687312306830523797325901519409218222325890890181127235069: {1740813,1928517,2491053,2771997,3333237,3426693,3682685,3706917,4060861,4419222,4732557,5002877,5290773,5554685,5801230,6132053,6318637,6404613,6497277,6665622,6806422,6954905,6961476,7052757,7067621,7339381,7993573,8345517,8345886,8757853,8990133,9433942,9723460,10308886,10367493,10452557,10484830,10550733,10605301,10672985,10693078,11013901,11323126,11419390,11598905,11620462,11668152,11821966,11908141,12215621,12409657,12468957,12581796,12734596,12795037,12807582,12833133,12985085,13015077,13126671,13477060,13560333,13625053,13703268,13703446,13918686,14195373,14269277,14676886,14726980,14820982,14828285,15050221,15075502,15150430,15549142,15552213,15582102,15693941,15985102,16003293,16172472,16543797,16600660,16701022,17011630,17099341,17672376,17793942,17891277,17990308,18130237,18180516,18192280,18194031,18428757,18460438,18756868,19073693,19137742,19322637,19411085,19709086,19768677,19857813,19867385,19881423,19920792,20006404,20262436,20303133,20413956,20466315,20570037,20860117,20897773,20925573,20966980,21000958,21103197,21224837,21326861,21423481,21830736,21901317,22106617,22213060,22255413,22341142,22410891,22452221,22835860,22896382,22962453,23057782,23293302,23379286,23756037,23840862,24005566,24040217,24184573,24399838,24410585,24427630,24521956,24559578,24680782,24816142,24888013,24898893,25160376,25512388,25522157,25700440,25727533,25950237,26292521,26655022,26655672,27172437,27218744,27246622,27403032,27569405,27781773,28042557,28158478,28263268,28305423,28579222,28763701,28912995,29083533,29256693,29292702,29313156,29775597,29814905,29936221,29987631,30531157,30542317,30621087,30828411,30840528,31094308,31517086,31742392,32051405,32101966,32386948,32443582,32943485,33034468,33083286,33398980,33725157,33961817,34278905,34491957,34524461,34538884,34549390,34662093,34695594,35071606,35258260,35345797,35365462,35487382,35680893,35710191,35777886,36142366,36255838,36259096,36260201,36321796,36453675,36780693,37033917,37382285,37411198,37640302,37726136,38044653,38461686,38719501,38883920,39028606,39051933,39431581,39532182,39779758,40078776,40126957,40306173,40624804,40678517,40791483,40827460,40968637,40983982,41134686,41459268,41555013,41714902,41721117,41799556,41996548,42218853,42223385,42309912,42441903,42571501,42687821,42766030,42798453,42841486,43098905,43354846,43401982,43459413,43538902,43662868,43744410,43823941,44036493,44409485,44420440,44858742,45023037,45088623,45280952,45583702,45619261,45695837,46109668,46251357,46586585,46660704,46741173,46909397,46946221,47248661,47460862,47598651,47718213,47742555,47880717,47961933,48004996,48130477,48321785,48813541,48990373,48992952,49262326,49419717,49769662,49972995,50526075,50668062,50696260,50789373,50925392,50941071,51058937,51110637,51319236,51448462,51471886,51686998,51718686,51752013,51888280,52205902,52311957,52493292,52634585,52654957,52683604,52686821,52950453,52996597,53024223,53152981,53291382,53293277,53304528,53456984,53507877,53771860,53894480,54326404,54391597,54619197,54634702,55117071,55568013,55621573,55804677,55903902,56119893,56266366,56277357,56330830,56398996,56755933,56759446,56836375,56878837,56890582,56911385,56984757,57151108,57291066,57986142,58051321,58105515,58374315,58590742,58692536,59095293,59108878,59386813,59638997,59876638,59967594,60105237,60139107,60275566,60286616,60631290,60816430,60835512,60881835,61146421,61152185,61164004,61188333,61288553,61574285,61651077,61781933,61806424,61979216,62111437,62265936,62417405,62605630,62759716,62842421,62880837,63026116,63124075,63161502,63479182,63951837,64520921,64526232,64581077,64673376,64866093,64878868,64940624,64996693,65625333,65775485,66029103,66130846,66319672,66533253,66684237,67066030,67349113,67446435,67479022,67487182,67596996,67666276,67822443,67843573,67907158,68203650,68263773,68293662,68439951,68754838,68832687,69045653,69161613,69357508,69532227,69611662,69692857,69726618,69733630,69940685,70035992,70049178,70130373,70134244,70320315,70353357,71284822,71594175,71596685,71834397,71942864,72009785,72131177,72276837,72350493,72478375,72548686,72592011,72747421,72750560,72757548,72784803,72979716,73058202,73070062,73111741,73382622,73449508,73452453,73495577,73822904,73889142,74405837,74426644,74579860,74609631,74694813,74767677,74891405,74900886,75008336,75094477,75126756,75197261,75383957,75535837,75748890,75914062,75932830,75964755,76216453,76275268,76300157,76367120,76772153,76870293,76877773,76938905,77287035,77374797,77582356,77755385,78021717,78047236,78126238,78296501,78380277,78543821,78606075,78790491,78930582,79030393,79238373,79250806,79447342,79459390,79549348,79790285,79879677,80196185,80262677,80293375,80313622,80459701,80479236,80784533,80798816,80935722,81029072,81192301,81239224,81272260,81644440,81844380,81943675,82204822,82214493,82243861,82284837,82439504,82706397,82887653,83050767,83267133,83302527,83337117,83340857,83524421,83676697,83680356,83686677,83701060,83846480,83928822,84334084,84384378,84989117,85016542,85285636,85356213,85840985,85913010,85916022,85967182,85994233,86086318,86128222,86389261,86411742,86648575,86805717,86974050,87032221,87066628,87151597,87286533,87300672,87352030,87464091,87629253,88077464,88153636,88534361,89034905,89231638,89469573,89495832,89869686,89943837,90021176,90177250,90602741,90686733,90898668,90956157,91119396,91155748,91157706,91283573,91394127,91530277,91560957,91640544,91748117,91849995,92008375,92047318,92326686,92744442,92772320,92888557,92897997,93306462,93423502,93817757,93894477,94175885,94327290,94710742,94731195,94909588,95155851,95189101,95220004,95228504,95280477,95296342,95346213,95351268,95543277,95576317,95647035,95674533,95748342,95821342,96048502,96235422,96263997,96337156,96352050,96410260,96655893,96680797,96916222,96919390,96935461,96945555,97526712,97757197,97973328,98213256,98292886,98332410,98515726,99087147,99169675,99239192,99246453,99484246,...,39128751038087307624173260658043263843664237311502073854955149513878850809443160137922344661695442996572343215059213171654689302361252782149064611152973721644626986843957148886185985091800164293175191863961022498569129765609206390815219123754904992789193916002862522523592915207379582299532051988938678063258215545927782388900056909994741471444038493377350889873822560218825532400145856651020687430495765920109994640180620831045301633722390466950192509518145444585851228526470426614005551114540379572523452159342886994063821713397079453003908102186768961593755402830591339859731480434919343607587940758100427907449603282995806886442164040478438261723469115761722369446528499743139682408587738225102394806809154691106076431985346497437883612825599016597512445963643219209383094231421420383023901588763421691946133152959141049696406870710712165782486999915130062804364481584495082988248218116029556723677648609128951850736667511986058934390906488419116033205797295366451884251363105943336486344520813225178299393172440373142689173685103592851463650781326021889367209978718582551751283534709654805873201935052638037715691604502654484126600800279262161422354750355470485844879852882805886843047833557241924014131577594616571664006109498139402515177818907124382176022290032327689083447645911169202498267798941062725438561827945627302741684658895153873031453705239247514099470654117699271196923851108386740622831634661931132631115393262163100467611196233470110605578491807321955983587910396338958064225785362570471183996455108694499614706244580200757116013693381745596998782033312893726471051802137075809733153299703460465221026461795108776855265115314701628574276355104844242426930233824675719871507055397469048557510968948414019703744552297123044415808977567660631557623470785945155918480663707900729564231244858041773082587640382124320860816192371556961071017545327301824792307126348290304695028589880773521309822508316009746558965162170334710147438142101430616036071667749074112452034082455643828452950231185397471142285302310917403980731165853266314936145791438621035928589355100452589826402687701365484210594589616949756174442445658060494135080836728817884351994632159630778430437146836766636026189788672063542124560677504645874528691741306121971187986028979924349889301068695649234983434378648302550135055698329688907706408524470758758363525839572945446416338909354085281459829541041827632956228149897004964003819661947515841054389102236490403582433429684908627682011970300818751706467240564537818403}
15724  6648495531886691222687547179378918081632044953524712368426146896: {643003,830563,1298203,1348394,1910642,2284754,2321084,2471594,2571356,2690323,3058819,3217514,3321404,3517819,3695996,3883723,3975019,4066243,4332074,4339483,4444316,4568924,4793443,4942556,5072234,5335819,5625842,5892296,6310076,6545642,6628833,7036243,7054364,7095794,7479403,8374442,8535643,8539484,8663036,8701845,8738474,8885419,8887496,8972683,9281968,9321019,9403676,9668203,9754819,9998433,10188842,10209633,10442214,10730354,11127356,11127848,11450354,11557123,11986844,12154325,12319819,12518829,12526034,12741019,13076683,13240274,13494643,13823324,13910803,14067644,14076763,14129834,14150913,14325163,14407819,14490403,14585190,15463329,15557536,15727245,15898154,15918245,15964603,16039617,16045819,16126963,16625276,16775728,16846325,16934443,16984689,17076776,17110844,17129085,17175283,17255419,17353436,17430693,17502228,17732949,18080444,18175442,18271024,18408725,18448819,18558248,18764323,18872694,18927164,19044842,19101894,19211373,19910642,20215590,20554902,20555169,20736284,20750825,20772842,20776136,20878029,21093883,21288434,21337724,21563296,22015329,22058396,22090470,22144874,22231473,22234363,22487885,22613253,22725645,22740350,23060419,23323713,23373153,23433019,23446085,23563168,23725256,23816401,23855036,23977653,24240688,24258708,24571676,24900990,25008005,25051533,25196443,25328045,25341523,25366514,25517445,25630819,25763516,26208725,26358236,26477084,26508564,26561056,26690913,26985462,27070844,27130723,27218608,27270774,27288420,27426716,27483163,27690657,27763819,27766325,27774593,27900764,28135302,28137596,28544825,28706613,28737043,29107648,29196842,29201756,29563629,29673884,29690834,29881188,30009606,30170419,30393654,30507019,30511274,30574123,30616604,30620934,30652445,31057736,31328114,31450470,31501437,31506019,31674716,31726709,31787816,31890485,31901083,31978994,32097643,32125550,32746104,32950994,33010369,33198524,33319590,33511713,33547168,34023430,34078442,34253790,34342963,34344573,34586673,34600316,34939953,35030419,35068929,35329085,35540896,35586403,35761293,36008349,36055217,36197323,36229916,36537376,36599757,36641445,36782934,36839367,37021173,37042364,37219363,37224213,37260842,37390076,37575914,37740564,38047442,38125373,38268582,38278843,38550660,38778044,38867885,38972203,39008924,39056936,39084208,39609842,39620833,39677990,39700796,39982533,39983508,40075754,40272163,40483685,40549723,40828116,40849394,40869933,41104548,41120704,41208523,41293085,41425819,41748725,41926442,42237717,42394902,42442243,42868833,43018819,43173605,43484083,43634657,43791019,43841923,43907954,43939053,43969734,44072825,44111048,44559718,44663594,44966876,45286819,45323870,45402245,45481363,45989276,46200643,46216124,46248019,46260792,46295323,46483819,46641462,46774861,46950019,47157670,47275629,47502194,47574524,47590603,47613588,47703848,47860819,48152949,48240554,48580422,48604900,48665373,48699403,48786163,49040924,49121834,49378556,49551702,49624929,49637923,49843541,49852274,50098470,50143442,50176123,50257843,50345269,50379883,50726204,50781005,50821819,51034325,51282248,51355969,51410419,51808326,51824085,51945163,52043391,52069244,52132723,52249445,52355419,52495685,52607409,52709576,52750789,52864963,52887390,52900819,53048193,53231073,53290483,53308274,53438368,53666829,53741564,54080621,54213549,54231814,54383757,54388644,54482694,54578585,54723794,54846248,54864554,54920419,55045843,55145642,55231819,55279024,55406684,55415203,55525550,55566194,55628156,55655683,55685419,55715083,56094163,56116797,56122819,56124914,56236723,56291804,56377483,56413216,56460453,56571523,56589204,56601190,56653603,56823046,56949019,56958674,57064604,57210019,57488803,57563323,57637085,57692529,57831019,57924842,57945884,58029713,58272883,58325880,58516819,58542909,58709923,58715324,58781921,58958323,59058763,59235019,59254243,59298273,59330419,59405443,59533963,59669637,59811656,60006245,60012763,60030716,60092323,60118164,60123643,60598843,60664003,60801019,60813043,60918019,60937206,61017163,61027819,61038403,61140283,61241190,61270819,61281493,61305523,61317842,61355419,61387243,61475973,61627003,61642123,61665883,61668476,61670419,61702029,61729819,61746019,61763083,61809019,61809523,61810603,61985642,62188902,62214272,62321564,62572353,62649842,62699334,62950006,62994822,63370325,63464868,63573674,63624284,63656740,63840956,63949244,64149045,64262229,64519862,64595041,64860350,64987637,65032269,65102973,65308353,65323936,65494302,65529554,65616615,65632294,65854505,65892956,66174314,66630660,66821230,66943274,67198442,67214825,67288113,67368100,67557416,67719164,67908005,67921428,68147516,68375553,68425648,68911102,68958248,69002684,69164502,69469034,69749276,69991056,70091474,70498745,70586834,70600604,70698964,70710314,70900438,71055176,71072704,71084321,71191293,71325554,71343836,71438885,72007494,72134566,72423914,72825596,73029074,73365670,73489428,73893489,74090684,74406236,74538536,74654493,74826524,75036476,75330497,75358270,75979676,76002093,76044390,76351442,76388088,76455005,76700714,76978854,77067781,77172693,77207829,77258030,77314856,77474020,77530497,77578029,77694221,77832420,78308853,78427634,78449645,78655442,78739938,78768529,78782645,78793724,79025406,79560914,79655693,79785842,79937073,79956792,80140316,80185476,80657790,80841720,81098585,81114016,81175780,81454442,81489606,81584444,81952053,82003442,82079413,82201436,82222034,82548842,82765994,82899590,83021248,83324941,83841116,83855853,84215336,84376274,84399549,84496245,84582845,84598494,84962141,85011314,85139169,85199686,85269116,85335873,85726662,85745642,85936599,86034976,86049461,86231168,86488124,86576234,86696885,86834293,86979213,87499634,87500444,87544990,87667805,87886113,88038804,88415782,88511954,88663317,88711004,88912316,89270566,89814957,89928580,89951391,90091534,90101714,90129328,90413349,90429924,90482518,90938200,90946935,91018364,91058216,91166273,91224645,91253268,91746006,91776916,91811885,92037074,92215484,92278630,92709636,92889194,92968824,93033305,93224825,93398904,93507164,93537766,93760420,93804476,93822314,93908445,94099442,94139574,94539174,94742253,95218773,95344085,95458900,95734994,95779196,96369116,96467324,96789348,96973009,96977945,97010064,97046404,97062314,97236842,97306288,97318302,97410936,97559045,97843496,97928233,97936604,98518856,98685629,98781674,99196269,99436685,99479508,99593084,99690236,99867848,99950954,...,52171668050783076832231014210724351791552316415336098473273532685171801079257546850563126215593923995429790953412284228872919069815003709532086148203964962192835982458609531848247980122400219057566922485281363331425506354145608521086958831673206657052258554670483363364790553609839443066042735985251570751010954061237043185200075879992988628592051324503134519831763413625100709866861142201360916573994354560146659520240827774727068844963187289266923346024193926114468304701960568818674068152720506096697936212457182658751762284529439270671877469582358615458340537107455119812975307246559124810117254344133903876599471043994409181922885387304584348964625487682296492595371332990852909878116984300136526409078872921474768575980461996583844817100798688796683261284857625612510792308561893844031868785017895589261510870612188066261875827614282887709982666553506750405819308779326777317664290821372742298236864812171935800982223349314745245854541984558821377607729727155269179001817474591115315126027750966904399190896587164190252231580138123801951534375101362519156279971624776735668378046279539741164269246736850716954255472670205978835467733705682881896473000473960647793173137177074515790730444742989232018842103459488762218674812664185870020237091876165842901363053376436918777930194548225603331023731921416967251415770594169736988912878526871830708604940318996685465960872156932361595898468144515654163775512882574843508153857682884133956814928311293480807437989076429274644783880528451944085634380483427294911995273478259332819608326106934342821351591175660795998376044417191635294735736182767746310871066271280620294701949060145035807020153752935504765701806806458989902573645099567626495342740529958731410014625264552026271659403062830725887745303423547508743497961047926874557974218277200972752308326477389030776783520509499094481088256495409281428023393769735766389742835131053739593371453174364695079763344421346328745286882893779613529917522801907488048095556998765483269378776607525104603933641580529961523047069747889871974308221137688419914861055251494714571452473467270119768536916935153978947459452822599674899256594210747325513441115638423845802659509546174371240582862449022181368253051562751389499414236672861166038255655074829294917314705306565799852401424927532313311245838197736733513407597772918543608544699294345011151367786097260595221785212472113708613106054722436843941637533196006618671759549263354454739185469648653871443244572913211503576015960401091668941956320752717091204}
15725  6677851419677800276706426029831948463654003207637261508059383758: {2022591,2865963,2901355,3214195,3427131,3481626,3707391,3857034,4151755,4619995,4826271,4982106,5155759,5347903,5543994,5555395,5711155,5912491,6178195,6498111,6666474,6853386,6853471,7365370,7412383,7413834,7608351,7729747,7776559,7887595,8099839,8121722,8294191,8352643,8438763,8817955,8838444,9130363,9465114,9736867,9818463,9857059,10005754,10581546,10643691,10674355,10828795,10919899,11109370,11173423,11531839,11602460,11754595,12217183,12264106,12513139,12559723,12561663,12637274,12809226,12994554,13107711,13175947,13331244,13612844,13909195,13909810,13922952,14105514,14135242,14436643,14678762,14768323,14942179,14983555,15283263,15663321,15695947,15987146,16095531,16225939,16238467,16691034,16691772,16863691,17175531,17279155,17515706,17540287,17584555,17815099,17980266,18179119,18369439,18789051,18867884,19076131,19392043,19446920,19860411,20617772,20734986,20759599,20781595,20905114,20969660,20989747,21101466,21194751,21210602,21227551,21329587,21345970,21386156,21388555,21691795,21877785,21944323,22027802,22455103,22600555,22646252,22797679,22838780,23197810,23240924,23336304,23631547,23643932,23658955,23736499,23816282,23847231,24043291,24431242,24819314,24937914,25163592,25469192,25590074,25615164,25666266,25698163,25920355,25970170,26030154,26241091,26253342,26295883,26534443,26672155,26797219,26954120,27120666,27175519,27199699,27250106,27263163,27406536,27406892,27572995,27575083,27814339,27837372,27882943,28309041,28378219,28390746,28538554,28567263,28652841,29353772,29453960,29574523,29641964,29656570,29816671,29818795,29865963,30100442,30151004,30300860,30323385,30367147,30714595,30832353,31098284,31104426,31159263,31164204,31387882,31932651,31970204,32006586,32204395,32344944,32947795,33087594,33096355,33135705,33201320,33217311,33402044,33639379,33838555,34023260,34110525,34118107,34174819,34198682,34283395,34875955,35171995,35344752,35587884,35618491,35782554,35980616,36241123,36260474,36361032,36384560,36388062,36502195,36789547,36857514,36920876,37092355,37351485,37513736,38049771,38147386,38270755,38275484,38597167,38645274,38822170,39410947,39418172,39537354,39593395,39715626,39734770,39762846,39841584,40012808,40281667,40478193,40524872,40526107,40606266,40827912,40906161,40932630,41018923,41140074,41498155,41505619,41720234,41740867,41795546,41851146,41933960,42001916,42202953,42206394,42449674,42653722,42846962,43250395,43311487,43661472,43795263,43802634,43873771,44120899,44213234,44426120,44510826,44536251,44682284,44699743,44821782,44871967,44904442,45014409,45287395,45590481,45671720,45766911,45792764,45924906,45931401,46035583,46115564,46120879,46302955,46586604,46737595,46758572,46992171,47175705,47512074,47681724,47776579,47968491,47990467,48011132,48074611,48080434,48188325,48369146,48472555,48761155,48799676,48821170,48855260,49043912,49119156,49361564,49426491,49625995,49632284,49776026,49797786,49979385,50320752,50449243,51024776,51035145,51044314,51065491,51117663,51380685,51400880,51455066,51900474,51946339,52080559,52335199,52585042,52807327,53025643,53090203,53310044,53311344,54004171,54008623,54327967,54344874,54437488,54493244,54580243,54806064,55138810,55174401,55563546,55587739,55891263,56009503,56085114,56208595,56316956,56363871,56526536,56610846,57002539,57071163,57158444,57340627,57402873,57486595,57527402,57770155,57825990,58167066,58513386,58585404,58626312,58706563,59112739,59414763,59468155,59516985,59551194,59629810,59646763,59872442,59975262,60113631,60338467,60756125,61062314,61084634,61242174,61274091,61301155,61656822,61681056,61685179,61723195,61815907,62173279,62188616,62266243,62889663,63034172,63368299,63407755,63484784,63592353,64102810,64203932,64529203,64589503,64773896,64887164,65086555,65221219,65798563,65861931,65886970,65954601,66068936,66166572,66797960,66839577,66995391,67176955,67450314,67505419,67545643,67650499,67668283,67923634,67985805,68139823,68498971,68557810,68983914,69048922,69077768,69098780,69258355,69324186,69391188,69535195,69962193,70143212,70235647,70364755,70482451,70516520,70602547,70691594,70730924,70736505,70974764,71033779,71253291,71330755,71361786,71420382,71555772,72284732,72360831,72432355,72511676,72518192,72520402,72643592,72870633,72907350,73394155,73505011,73561386,73682751,73688419,73694779,74067834,74327553,74415583,74764570,74778411,74822396,75038395,75147705,75215163,75280604,75452272,75649771,76089306,76309951,76323091,76923372,77085595,77168671,77439002,77712489,77767840,77901955,78057212,78103866,78553903,78828019,78863162,78886603,79064364,79331085,79530355,79559516,79570925,79675939,79759987,79801195,79936555,79962411,80157552,80253914,80377819,80383279,80612346,80756323,81249608,81347721,81357034,81496291,81571039,81582966,81654920,81724041,81937274,81967964,82085691,82269372,82296831,82366195,82718463,82918536,82942099,83110026,83288325,83349291,83429804,83442234,83599112,83993096,84187371,84210125,84437706,84446770,84619824,84648955,84883806,84901785,84991171,85143002,85184395,85234569,85375642,85438011,85532060,85596906,85613059,85682972,85700323,85804171,86197810,86203999,86253355,86526379,86709692,86803964,86887263,86918826,87071083,87077804,87186595,87325736,87384367,87488820,87598783,87647882,87934171,88072986,88250755,88373705,88818970,88840880,89090131,89101387,89179795,89198623,89433187,89717484,90046074,90177246,90294523,90561904,90614539,91031995,91124947,91167404,91238522,91391674,91405809,91861785,91976763,92085679,92219336,92502714,92613355,92823919,92837947,92978463,93007795,93173170,93182851,93283353,93321408,93390511,93482346,93533155,93674947,93795595,93818794,93892442,93974763,94049001,94332571,94425009,94492233,94497322,94640179,94855891,94921724,94974595,95197302,95360511,95436426,95485110,95761434,95923866,96009992,96074539,96260954,96643570,96779793,96842525,97290525,97627082,97916959,97980746,97985904,98223967,98241453,98294331,98448441,98492155,98524652,98634283,98764747,98839434,99261471,99539324,99945990,99947299,...,78257502076174615248346521316086527687328474623004147709910299027757701618886320275844689323390885993144686430118426343309378604722505564298129222305947443289253973687914297772371970183600328586350383727922044997138259531218412781630438247509809985578387832005725045047185830414759164599064103977877356126516431091855564777800113819989482942888076986754701779747645120437651064800291713302041374860991531840219989280361241662090603267444780933900385019036290889171702457052940853228011102229080759145046904318685773988127643426794158906007816204373537923187510805661182679719462960869838687215175881516200855814899206565991613772884328080956876523446938231523444738893056999486279364817175476450204789613618309382212152863970692994875767225651198033195024891927286438418766188462842840766047803177526843383892266305918282099392813741421424331564973999830260125608728963168990165976496436232059113447355297218257903701473335023972117868781812976838232066411594590732903768502726211886672972689041626450356598786344880746285378347370207185702927301562652043778734419957437165103502567069419309611746403870105276075431383209005308968253201600558524322844709500710940971689759705765611773686095667114483848028263155189233143328012218996278805030355637814248764352044580064655378166895291822338404996535597882125450877123655891254605483369317790307746062907410478495028198941308235398542393847702216773481245663269323862265262230786524326200935222392466940221211156983614643911967175820792677916128451570725140942367992910217388999229412489160401514232027386763491193997564066625787452942103604274151619466306599406920930442052923590217553710530230629403257148552710209688484853860467649351439743014110794938097115021937896828039407489104594246088831617955135321263115246941571890311836961327415801459128462489716083546165175280764248641721632384743113922142035090654603649584614252696580609390057179761547042619645016632019493117930324340669420294876284202861232072143335498148224904068164911287656905900462370794942284570604621834807961462331706532629872291582877242071857178710200905179652805375402730968421189179233899512348884891316120988270161673457635768703989264319261556860874293673533272052379577344127084249121355009291749057383482612243942375972057959848699778602137391298469966868757296605100270111396659377815412817048941517516727051679145890892832677818708170562919659082083655265912456299794009928007639323895031682108778204472980807164866859369817255364023940601637503412934481129075636806}
15726  6707335907211773598071643829267460450463006824538356475658927233: {674369,736913,924353,1236113,1286006,1298369,1516013,1661126,1671233,2444333,2596406,2598353,2696788,3089873,3548813,3609869,3821284,4370369,4569508,4642168,4824269,4943188,5142712,5222439,5366573,5380646,5426669,5636753,5785551,6085613,6117638,6413633,6435028,6642808,6710993,6859373,6977933,7035638,7066769,7125953,7391992,7473159,7598273,7745453,7767446,7950038,8132486,8315991,8664148,8678966,8740973,8886593,8888632,9137848,9351233,9586886,9698369,9842669,9885112,9999711,10130669,10144468,10280079,10647053,10671638,11048055,11120751,11132369,11251684,11331533,11501933,11756993,11784592,11898413,12182583,12349613,12490193,12620152,12742733,12770753,13091284,13106369,13257666,13746413,13995713,14072486,14108728,14191588,14197671,14271953,14503075,14849453,14904269,14958806,15008631,15668333,15872319,15912593,15993869,16048013,16664055,16748884,16936769,17016055,17071286,17078968,17326072,17337869,17403690,17476948,17737169,17770838,17774992,17922893,17945366,18396159,18451373,18477713,18563936,18609293,18642038,18793169,18807352,18845633,18955911,19002833,19213839,19336406,19491831,19509638,19996866,20043473,20353169,20377684,20419266,20481869,20864715,20884428,21122369,21158271,21202863,21460708,21960173,22010669,22018143,22187153,22254712,22255696,22285543,22388369,22839233,22900708,23114246,23461133,23584855,23757869,23807213,23973688,23980719,24308650,24567953,24639638,25036551,25037658,25052068,25345169,25482038,25634513,25772215,25874753,26153366,26212075,26273559,26480548,26732695,26970399,26989286,27416813,27487169,27646648,27651053,27791213,27821606,27907793,28135288,28153526,28259668,28301826,28307815,28548475,28603073,28650326,28764269,28815638,28948013,28980806,29051155,29170380,29554915,29791169,29904269,30197393,30533933,30926658,30979853,31102479,31115072,31357671,31454490,31483039,31652199,31796308,31815903,31836490,31862093,31929206,31971473,32018955,32079234,32091638,32167853,32253926,32623553,32709953,32817773,32824519,33041703,33250552,33481793,33524369,33551456,33588173,33692650,33868886,33906113,33969378,34153552,34221688,34258170,34258615,34306253,34350566,34473869,34510838,34706872,34786769,34796715,34861386,34932173,34994369,35004456,35011207,35056493,35097869,35366033,35459263,35465898,35714669,35724423,35857553,36160888,36223169,36350884,36384833,36525869,36542048,36566093,36646863,36692215,36817450,36897638,37052455,37116496,37165613,37225169,37228971,37363853,37406871,37462673,37528646,37688755,37745388,37816769,37854328,37875533,37876075,38089684,38203788,38385111,38401169,38422746,38499399,38536493,38825153,38872855,38940113,38955255,39035693,39045231,39380013,39491693,39821284,39961793,39962755,40167053,40352813,40431180,40574669,40680999,40875159,41109804,41110338,41124269,41432513,41472568,41501650,41545684,41552272,41752555,41756058,42187766,42343373,42413933,42466769,42529075,42576868,42586119,42610711,42675448,42782273,42807831,42913423,43043213,43126592,43508369,43713233,43764269,43798253,44030658,44116792,44180940,44289748,44304173,44462946,44468726,44484855,44646679,44654033,44819393,44975770,45049553,45057259,45150663,45226506,45261869,45343169,45451290,45480700,45505169,45826769,46120838,46151095,46271633,46460369,46491713,46647426,46656639,46746306,46866038,46892170,46958033,47081823,47111873,47126336,47280173,47450512,47613869,47632802,47710072,47844355,47884013,47913869,47955306,47958593,48009879,48240173,48481376,48517416,48620813,48722369,48837953,49010369,49053293,49143352,49272715,49323473,49460719,49534733,49631391,49646669,49801980,49813613,49896653,50016010,50103066,50157713,50392886,50402369,50604269,50656090,50683046,50733028,50844173,50963153,51034890,51261638,51298023,51432593,51458369,51527032,51548333,51568231,51688913,51967169,52029869,52364993,52377293,52417450,52502395,52548653,52716472,52954168,52982093,53017128,53122112,53265293,53381826,53474669,53555393,53589869,53647169,53673831,53851793,53964353,53970924,54120593,54141688,54187073,54261446,54264269,54297233,54390711,54415039,54437216,54541548,54558353,54576840,54582093,54719213,54853432,54878273,54966326,55118669,55242413,55286271,55381314,55527638,55532650,55549186,55707487,55725869,55801528,55824269,55852855,55941293,56143313,56162369,56257169,56270604,56275192,56509133,56536769,56677159,56809169,56916113,56960333,56969153,57089650,57100493,57221079,57221453,57240955,57413226,57474086,57644455,57730193,57746369,57810319,57842753,57850733,57961613,57967911,58063169,58124993,58215296,58233255,58307393,58382033,58393684,58403512,58448215,58463213,58492493,58528913,58764269,58906003,59127258,59156813,59215313,59266769,59306031,59342993,59347768,59381668,59455169,59473613,59573439,59602155,59644269,59654093,59762376,59827373,59883533,60013915,60019212,60110669,60152333,60229073,60340838,60377153,60443047,60518033,60616769,60681869,60703169,60765869,60787308,60826769,60909399,60912833,60987713,60999595,61014038,61022548,61069075,61104269,61114433,61127873,61148246,61177133,61212113,61233208,61241868,61249169,61285073,61288013,61304890,61369793,61398945,61404269,61490369,61506413,61517633,61562573,61641869,61661933,61686893,61700033,61701955,61707053,61710111,61726913,61734353,61759169,61776593,61790669,61795793,61805453,61821293,61821869,61826669,62040355,62115472,62580351,62656228,62693319,62776719,62900940,63002874,63012038,63309591,63349432,63453418,63563143,63575632,63674511,63780970,63802166,63957988,63980583,64195286,64251100,64270443,65492208,65703951,65901988,66020738,66319851,66397048,66637555,66639180,66766239,67023426,67094336,67232673,67356663,68046860,68116555,68156884,68507580,68685926,68689146,68887359,69173346,69200632,69469543,69879906,70060838,70137858,70141159,70396195,70658170,71081792,71093407,71172806,71268111,71448055,71522586,72016698,72110434,72120651,72394646,72459832,72553719,73074752,73149223,73199514,73231755,73282890,73493959,73565868,73678734,74042346,74084728,74438726,74448426,74521684,74664039,74696679,74780152,75151828,75481128,76094884,76250746,76410019,76537164,76557686,76566471,76803571,77101320,77182599,77556088,77735770,77850711,77944406,78017848,78113872,78168416,78792715,78877563,79219684,79241666,79355980,79401592,79965066,79967016,80151508,80254915,80544326,80691919,80967370,81099446,81108955,81484183,81517311,81656232,81698788,81739866,82209096,82241408,82417046,82586170,82708215,82851638,83345319,83497450,83852884,84008743,84127671,84475434,84789804,84884486,84916269,85737666,86037638,86291103,86347210,86373475,86738985,86968166,87250599,87269314,87582038,87679015,87683846,87770079,87815908,87878106,87939468,88145650,88222096,88413655,88718455,89026951,89119436,89326791,89327188,89444715,89808663,89933752,89962893,90355915,90573638,90639595,90647740,90804490,90821599,90962726,91593471,91626951,91820443,91863261,91978552,92196307,92401286,92432248,92485233,92496038,92521584,92590646,92967638,93282924,93527995,93549722,93900038,94100755,94315340,94551258,94957687,95004388,95071207,95149048,95181206,95227176,95407696,95721638,96154215,96172927,96305898,96481108,97160844,97209800,97330746,97398806,97571515,97572326,98081848,98243668,98698243,98757112,98830455,99103404,99249858,99275846,99449395,99687082,99704548,...,117386253114261922872519781974129791530992711934506221564865448541636552428329480413767033985086328989717029645177639514964067907083758346447193833458921164933880960531871446658557955275400492879525575591883067495707389296827619172445657371264714978367581748008587567570778745622138746898596155966816034189774646637783347166700170729984224414332115480132052669621467680656476597200437569953062062291487297760329983920541862493135904901167171400850577528554436333757553685579411279842016653343621138717570356478028660982191465140191238359011724306560306884781266208491774019579194441304758030822763822274301283722348809848987420659326492121435314785170407347285167108339585499229419047225763214675307184420427464073318229295956039492313650838476797049792537337890929657628149282694264261149071704766290265075838399458877423149089220612132136497347460999745390188413093444753485248964744654348088670171032945827386855552210002535958176803172719465257348099617391886099355652754089317830009459033562439675534898179517321119428067521055310778554390952343978065668101629936155747655253850604128964417619605805157914113147074813507963452379802400837786484267064251066411457534639558648417660529143500671725772042394732783849714992018328494418207545533456721373146528066870096983067250342937733507607494803396823188176315685483836881908225053976685461619094361115717742542298411962353097813590771553325160221868494903985793397893346179786489301402833588700410331816735475421965867950763731189016874192677356087711413551989365326083498844118733740602271348041080145236790996346099938681179413155406411227429199459899110381395663079385385326330565795345944104885722829065314532727280790701474027159614521166192407145672532906845242059111233656891369133247426932702981894672870412357835467755441991123702188692693734574125319247762921146372962582448577114670883213052635981905474376921379044870914085085769642320563929467524948029239676895486511004130442314426304291848108215003247222337356102247366931485358850693556192413426855906932752211942193497559798944808437374315863107785768065301357769479208063104096452631783768850849268523327336974181482405242510186453653055983896478892335291311440510299908078569366016190626373682032513937623586075223918365913563958086939773049667903206086947704950303135944907650405167094989066723119225573412276275090577518718836339249016728062255844379488623125482898868684449691014892011458985842547523163167306709471210747300289054725883046035910902456255119401721693613455209}
15727  6736949553414579268614371113316006488480943471960815173764983498: {15727,1929009,2491689,3370985,3894609,4045182,4061897,4499873,4776605,5711885,5731926,5802710,5812457,6178985,6320249,6381353,6428390,6467993,6854262,6963252,7414782,7714068,7777553,7995617,8043785,8070969,8262833,8303510,8639129,8649473,8760089,9176457,9239990,9572537,9652542,9964212,10311518,10553457,10695806,10790429,10830185,11016713,11042633,11087988,11110790,11422310,11452577,11533313,11651169,11824982,11925057,12198729,12204593,12345137,12356390,12561329,12680585,12996222,13018449,13332617,13332948,13628537,13706772,13706942,13985273,14064605,14084633,14380329,14438489,14730740,14824766,14827668,14843309,14944097,15160313,15216702,15459494,15488729,15553118,15775190,16007457,16199678,16228013,16243444,16364105,16456433,16588382,16665473,16705286,16804253,16877526,17542529,17635910,17676888,17739485,17817377,18134873,18260726,18712793,18930228,19472873,19473734,19636926,19714118,19886499,19910993,20011508,20936105,20976977,21108729,21163092,21287382,21348710,21657590,21709337,21839798,21846185,21947129,22218740,22346846,22438209,22800593,22917869,23063678,23204920,23459129,23509190,23739533,24190817,24434366,24528212,24618377,24894377,25026278,25119446,25123326,25274548,25472105,25606929,25618452,25701449,25989108,26105535,26215422,26351894,26411729,26537849,26656257,26662488,26825885,26870393,26918049,27203177,27225688,27327857,27578609,27818390,27819620,27845904,27963057,28211028,28270484,28625885,28873286,28908653,28920209,29004609,29094233,29264457,29357524,29536646,29884358,29943977,29949833,29967110,29995299,30368513,30566526,30628899,31315085,31326642,31391894,31640777,31716833,31974292,32191062,32451878,32461433,32476934,32952569,33100685,33122537,33382068,33383544,33643697,33727382,34351062,34558310,34671369,34819217,34951709,35031412,35080574,35169110,35274653,35324585,35630198,35783129,35960532,36288497,36358238,36462975,36738878,36958769,36959457,37341017,37556487,37578102,37596953,37735768,38004329,38152262,38223057,38602193,38784086,38893840,39230049,39720822,39745385,39939953,40483929,41031113,41117729,41235544,41469972,41519198,41563190,41732409,41746313,41810228,41939320,41979494,42202932,42230289,42389502,42421204,42452739,42455102,42659174,42691940,42772312,42777110,42905393,42975489,43000433,43059713,43223457,43383590,43471209,43755570,43885613,43888646,44047529,44055604,44779673,44910206,45086153,45201110,45292504,45438605,45595358,45677560,46126913,46334897,46388633,46389987,46395620,46481848,46672608,47042633,47181735,47263094,47287864,47317910,47373977,47472998,47612105,47632564,47694462,47754735,47893809,47929097,47996753,48086582,48118851,48137457,48380889,48476909,48826337,48862484,49240793,49311593,49638628,49776605,49875828,50327184,50538975,50551073,50803329,50938384,50954067,51103073,51180148,51230328,51332532,51374093,51387255,51396326,51525849,51766257,51840710,51929297,51932105,51940340,52060308,52292079,52473713,52482182,52506684,52591766,52826969,53068886,53198847,53221085,53344310,53397353,53547617,53579057,53594438,53908240,54241332,54351038,54399398,54405689,54500212,54526326,54587249,54813072,54813784,55145990,55150166,55226175,55346457,55362185,55420457,55430753,55628678,55674744,55679969,55765886,56169593,56292969,56618082,56756438,56781492,56850875,57077108,57134526,57305682,57634119,57926513,58057673,58097417,58263209,58707544,58907920,59149046,59283928,59313140,59633342,59637590,59731926,60200884,60302008,60360269,60550553,60601720,60646770,60734294,61295153,61429190,61664706,61665507,61670753,61693097,61963913,62127473,62196568,62208852,62252475,62318526,62328408,62634087,62666669,62718329,62775764,62838173,63281649,63402353,63416285,63865302,63940408,64013172,64408790,64689888,64824137,65432633,65807009,65895590,66045987,66079073,66175188,66192710,66193049,66271410,66402640,66434622,66694419,66703089,66804088,66898073,67278758,67366637,67463655,67676969,67677110,67839759,67861577,68046520,68176935,68221050,68236214,68265617,68349638,68397364,68566790,68853329,68866193,69008249,69181257,69476393,69751910,69971139,70119459,70299057,70338255,70343990,70491629,70689504,70758173,70823393,71042897,71127473,71175768,71236982,71449203,71565108,71932959,71961232,72482246,72520948,72722064,72769120,72776124,72992105,73004390,73579094,73715028,73772633,73841752,74184710,74219297,74227085,74702970,75024015,75027472,75154599,75187529,75414473,75447233,75589329,75984135,76024569,76099542,76278185,76294772,76333049,76541510,76550968,76552335,76706993,76892457,77194334,77290548,77644340,78320285,78626175,78692033,78821894,78836344,78896729,78908729,79074708,79186790,79431252,79469540,79525692,79683168,79826669,79947485,79978793,80025616,80072739,80313875,80481233,80563334,80766689,80878217,80956386,81015713,81049744,81052214,81212532,81392169,81655824,81812322,81865260,82037846,82280148,82364753,82377485,82449489,82470233,82996310,83011238,83031149,83071971,83255417,83291457,83298975,83323779,83440468,83481734,83526113,83591092,83702292,83867920,84003832,84405906,84412788,84899348,85058575,85196105,85307444,85634475,85677533,85693924,85821617,86119839,86211129,86412473,86500790,86622974,87322944,87405329,87590526,87605268,87747542,87945689,88071917,88241798,88426468,88690887,88770857,88852240,89021652,89072502,89364568,89399486,89643564,89743934,89808884,89834033,90028818,90511257,90574790,91121177,91136813,91180962,91343440,91521057,91533822,91585528,91722369,91849812,91862802,91957335,92071166,92121773,92231128,92241758,92605910,92699993,93152105,93173208,93475190,93517144,93643337,93939785,93984342,94047737,94351410,94504311,94518057,95024148,95118605,95180127,95363448,95553158,95600993,95671455,95703249,95936982,95980934,96022264,96087233,96149222,96160868,96292929,96376650,96402137,96705953,96738292,96945110,96961697,97166129,97349273,97522310,97599352,97642340,97710520,98087824,98238312,98285417,98510657,98723128,98777633,98852982,99024605,99031107,99194975,99251990,99264568,99552052,99595572,99863057,99958770,...,156515004152349230496693042632173055374656949246008295419820598055515403237772640551689378646781771986289372860236852686618757209445011128596258444611894886578507947375828595544743940367200657172700767455844089994276519062436825563260876495019619971156775664011450090094371660829518329198128207955754712253032862183711129555600227639978965885776153973509403559495290240875302129600583426604082749721983063680439978560722483324181206534889561867800770038072581778343404914105881706456022204458161518290093808637371547976255286853588317812015632408747075846375021611322365359438925921739677374430351763032401711629798413131983227545768656161913753046893876463046889477786113998972558729634350952900409579227236618764424305727941385989751534451302396066390049783854572876837532376925685681532095606355053686767784532611836564198785627482842848663129947999660520251217457926337980331952992872464118226894710594436515807402946670047944235737563625953676464132823189181465807537005452423773345945378083252900713197572689761492570756694740414371405854603125304087557468839914874330207005134138838619223492807740210552150862766418010617936506403201117048645689419001421881943379519411531223547372191334228967696056526310378466286656024437992557610060711275628497528704089160129310756333790583644676809993071195764250901754247311782509210966738635580615492125814820956990056397882616470797084787695404433546962491326538647724530524461573048652401870444784933880442422313967229287823934351641585355832256903141450281884735985820434777998458824978320803028464054773526982387995128133251574905884207208548303238932613198813841860884105847180435107421060461258806514297105420419376969707720935298702879486028221589876194230043875793656078814978209188492177663235910270642526230493883143780623673922654831602918256924979432167092330350561528497283443264769486227844284070181309207299169228505393161218780114359523094085239290033264038986235860648681338840589752568405722464144286670996296449808136329822575313811800924741589884569141209243669615922924663413065259744583165754484143714357420401810359305610750805461936842378358467799024697769782632241976540323346915271537407978528638523113721748587347066544104759154688254168498242710018583498114766965224487884751944115919697399557204274782596939933737514593210200540222793318755630825634097883035033454103358291781785665355637416341125839318164167310531824912599588019856015278647790063364217556408945961614329733718739634510728047881203275006825868962258151273612}
15728  6766692919622280693643232588802850650034609708622754333808955649: {955687,1049287,1236271,1348738,1473826,1702471,1848706,1981327,2472226,2572012,2596738,3032026,3322252,3342466,4279927,4888666,5186767,5192812,5196706,5393576,5637487,5817271,6067773,6086407,6179746,6265471,6444247,6711871,6978847,7097626,7219738,7422367,7642568,8216167,8597889,8704065,8740738,9139016,9178447,9284336,9642585,9648538,9886376,10281393,10285424,10444878,10733146,10761292,10853338,11122173,11273506,11571102,12171226,12235276,12455265,12772471,12827266,12870056,13024327,13285616,13421986,13442647,13718746,13859985,13955866,14071276,14133538,14251906,14478813,14604367,14686807,14783984,14946318,15196546,15467277,15490906,15534892,15900076,16043709,16264972,16631982,16666185,17046247,17133465,17328296,17357932,17481946,17737473,17773186,17777264,18084271,18275696,18413425,18480271,18534585,18638167,18702466,18717007,19031647,19110127,19173772,19396738,19494333,19685338,19770224,19813207,19999422,20261338,20288936,20304305,20560158,20560413,20664607,21294106,21343276,21735607,22096110,22237149,22241502,22264738,22341271,22503368,22663066,22825053,22867447,23003866,23189241,23315647,23329677,23513986,23569184,23662785,23796826,23822477,23835271,24299517,24365166,24699226,24882573,24980386,25014385,25057929,25240304,25316289,25485466,25541506,26182568,26212738,26453865,26515332,27391089,27444271,27492826,27655087,27773425,27991426,28144972,28217456,28383176,28395342,28543906,28975207,29006150,29043967,29210601,29318287,29455389,29571177,29698906,29808538,29917612,30017262,30336727,30660265,30739567,31006687,31336666,31405207,31593185,31744638,31825186,31866871,31931073,31987738,32023065,32096026,32390167,32486385,32759697,33018797,33328110,33497768,33520269,33614527,33678247,33873538,34032110,34142572,34157936,34595517,34652144,34675738,34774525,34807380,34953896,35263785,35338105,35371471,35474338,35541676,35549984,35679271,35845786,35890732,36081101,36651549,36696905,36792318,36902746,36955426,37071967,37127872,37218586,37284076,37425773,37539417,37586338,37614704,37679169,37684989,37691266,37901047,37911822,38005666,38427678,38672812,38983662,39019276,39232471,39323133,39527841,39630941,39912007,39967865,39968167,39993732,40086946,40247887,40671617,40706338,40746847,40755368,40838532,40963738,41076247,41185471,41376881,41727585,41729430,41768856,42244738,42316542,42405726,42921416,42946087,43309929,43412647,43645789,43789265,43920346,43924207,44021338,44036286,44304969,44374306,44428567,44509424,44511392,44571086,44776738,44826537,44950665,45073471,45678466,45801416,45849789,46041871,46184647,46228492,46922266,46989963,47087841,47119927,47169710,47303527,47515738,47614426,47757487,47947376,47961438,47962061,48248527,48286593,48424927,48617300,48643807,48677817,48715401,48860887,49135906,49279276,49856257,50073102,50075316,50104136,50125567,50358113,50591073,50690338,50964076,50972287,51169207,51269026,51369101,51526593,51544430,51557647,51749506,51837465,51873437,52262785,52306732,52386871,52424150,52547118,52620861,52753665,52764257,52824487,52961096,53026505,53364925,53391847,53445297,53465390,53634271,53940798,53978572,54075127,54208327,54421997,54537357,54729607,54833626,54888727,54974338,55069505,55108317,55293296,55302106,55582426,55643212,55805647,55815586,55947857,56270576,56307052,56367153,56519336,56575471,56603652,56615630,56980471,57096950,57111871,57206146,57228393,57300652,57495271,57528538,57631276,57668647,57693127,57814447,57862471,57896026,57961612,57994525,58102310,58176129,58340760,58394047,58453577,58613287,58656271,59109830,59129887,59510767,59540705,59581233,59582338,59637271,59808538,59845927,60060271,60108007,60170647,60186127,60292471,60336967,60394786,60395287,60438271,60795967,60926647,60944273,61005271,61037887,61067866,61078105,61080367,61090807,61161871,61302271,61410847,61521007,61534471,61579327,61637287,61642687,61678471,61715047,61735567,61743271,61750687,61791871,61804471,61820887,61853316,61959706,62048285,62204958,62230144,62261309,62278797,62344785,62715342,62908980,62966078,62969241,63304398,63584253,63592616,63631806,63672980,63682653,63724186,63858412,63942946,63975185,63988761,64037910,64158468,64165665,64183276,64335706,64507852,64611533,64925425,65075385,65247106,65419906,65633355,65635546,65649038,65832969,65836121,66083406,66501104,66963586,66982097,67048738,67102912,67176346,67365309,67385300,67737772,67801665,67812226,67938756,68125265,68307104,68393037,68443376,68516340,68517230,68612506,68701132,68947738,68981801,69021676,69413744,69573538,69593430,69722772,69864346,69988738,70008912,70022414,70112986,70195738,70732066,70894641,70918526,70931796,70976865,71209497,71346385,71429338,71448846,71541693,71715106,72129873,72321776,72446338,72701768,72769666,73051738,73084096,73132186,73293726,73384430,73503353,73634900,73795276,74104910,74141425,74232992,74331226,74450338,74457942,74727706,74813742,74925346,75057292,75251105,75377510,75490776,75633538,75708656,75751066,75752150,76179368,76407576,76770222,76802338,76845492,76998798,77072986,77094489,77650306,77745710,77761065,77880226,77910510,78071386,78090462,78193997,78469705,78723273,78760026,78887649,78983386,79603329,79642568,79923586,79925510,80016465,80137337,80334106,80391657,80702237,80705626,80862360,81149338,81361998,81526557,81599097,81750318,81789489,81827501,82100369,82219608,82220676,82248538,82718985,82725249,82865026,82894097,82945136,83003300,83091368,83104544,83443017,83505110,83512116,83648829,84019481,84375532,84686746,84827866,84927123,84933538,84983833,85058150,85134657,85153736,85172238,85221422,85350896,85399433,85496705,85564546,85615662,85701789,85826846,85958523,86086426,86253184,86382737,86856497,87016738,87426466,87528538,87596506,88061316,88233584,88361880,88579496,88608346,88723569,88925892,88937452,88969710,89293358,89308066,89450013,89456385,89597889,89638786,89951540,90099106,90114518,90301326,90453012,90523738,90651185,90686338,90902580,90961400,90970155,91010338,91101441,91189549,91653538,92143785,92241676,92302190,92497059,92543266,92920738,92983426,93292577,93294852,93313278,93477789,93492612,93732076,93784340,93916066,94163646,94223746,94252672,94560346,94901024,95227738,95265604,95363177,95368465,95420144,95688710,95768026,95797953,95827738,95910612,95917186,96019758,96299489,96480346,96613185,96962752,97034832,97055425,97241626,97444738,97675906,98020738,98106586,98286704,98545430,98554673,98646946,98843385,98921438,99069466,99262782,99289065,99293338,99336925,99407115,99603960,99627226,99651933,99793306,...,234772506228523845745039563948259583061985423869012443129730897083273104856658960827534067970172657979434059290355279029928135814167516692894387666917842329867761921063742893317115910550800985759051151183766134991414778593655238344891314742529429956735163496017175135141557491244277493797192311933632068379549293275566694333400341459968448828664230960264105339242935361312953194400875139906124124582974595520659967841083724986271809802334342801701155057108872667515107371158822559684033306687242277435140712956057321964382930280382476718023448613120613769562532416983548039158388882609516061645527644548602567444697619697974841318652984242870629570340814694570334216679170998458838094451526429350614368840854928146636458591912078984627301676953594099585074675781859315256298565388528522298143409532580530151676798917754846298178441224264272994694921999490780376826186889506970497929489308696177340342065891654773711104420005071916353606345438930514696199234783772198711305508178635660018918067124879351069796359034642238856135042110621557108781904687956131336203259872311495310507701208257928835239211610315828226294149627015926904759604801675572968534128502132822915069279117296835321058287001343451544084789465567699429984036656988836415091066913442746293056133740193966134500685875467015214989606793646376352631370967673763816450107953370923238188722231435485084596823924706195627181543106650320443736989807971586795786692359572978602805667177400820663633470950843931735901527462378033748385354712175422827103978730652166997688237467481204542696082160290473581992692199877362358826310812822454858398919798220762791326158770770652661131590691888209771445658130629065454561581402948054319229042332384814291345065813690484118222467313782738266494853865405963789345740824715670935510883982247404377385387469148250638495525842292745925164897154229341766426105271963810948753842758089741828170171539284641127858935049896058479353790973022008260884628852608583696216430006494444674712204494733862970717701387112384826853711813865504423884386995119597889616874748631726215571536130602715538958416126208192905263567537701698537046654673948362964810485020372907306111967792957784670582622881020599816157138732032381252747364065027875247172150447836731827127916173879546099335806412173895409900606271889815300810334189978133446238451146824552550181155037437672678498033456124511688758977246250965797737368899382029784022917971685095046326334613418942421494600578109451766092071821804912510238803443387226910418}
15729  6796566569591347025651756856057463549813379435169180177568555131: {31454,2023107,2210739,2773059,3215015,3708339,3858018,3895107,4152815,4548039,4719379,4983378,5013699,6491015,6687247,6741970,7332999,7541599,7731719,7789218,7795059,7996639,8090364,8101907,8123794,8296307,8650579,8999746,9234931,9269619,9553210,10646439,10829607,10922687,11261299,11423770,11463852,11605420,11624914,12220307,12357970,12640498,12762706,12799939,12856780,12935986,13111107,13179311,13451615,13630279,13708524,13926504,14472807,14829564,14845207,15055987,15162259,15294095,15300791,15428136,15555106,15667317,15991234,16087570,16099719,16141938,16280007,16525666,16607020,16910259,17278258,17298946,17356653,17520178,17589095,17752819,17963167,18137191,18256839,18352914,18479980,18878687,19145074,19240899,19305084,19418615,19690447,19695559,19875095,19913539,19928424,20132979,20331215,20578119,20623036,20933799,21106914,21200307,21232979,21377859,21391612,21580858,21660370,21697415,22033426,22052519,22085266,22115119,22175976,22221580,22419477,22794819,22844620,22905154,22909747,23066626,23236359,23302338,23480567,23649964,23850114,23967215,24049439,24397458,24409186,24690274,24712780,24835279,24897559,24947973,25122658,25361170,25517591,25992444,26036898,26222919,26302607,26659779,26665234,26665896,26679095,26761751,27257074,27413544,27413884,27970546,28053699,28129210,28169266,28567187,28760658,28876978,28923907,29095107,29310547,29461480,29528007,29649532,29655336,29686618,29888194,29999133,30140207,30320626,30392007,30433404,30542899,30584659,30840237,30918988,30977458,31106236,31550380,31755919,31941159,32014914,32180111,32309671,32399356,32456026,32486888,32622227,32728210,32912866,33144165,33176764,33330946,33362253,33397107,33410572,33608506,33755052,33994599,34505799,34698887,35085058,35181215,35270979,35271820,35353776,35478970,35634754,35660947,35695239,36269746,36521452,36547749,37048839,37397015,37425586,37470579,37556239,37601779,37806551,37860456,38228199,38250931,38312259,38931839,38945746,38947468,39273852,39319107,39428236,39772998,39821986,40023016,40076239,41239239,41872210,41953954,41987139,42186919,42217458,42326184,42574764,42593013,42678215,42697420,42704387,42815859,43315180,43418674,43509225,43679596,43692370,43708247,43841119,43894258,44427095,44437480,44548359,44638771,44693692,44712807,44863415,44876418,44914207,44998339,45025893,45601186,45835738,46127356,46340959,46409840,46605095,46912207,46918258,47004999,47018380,47479066,47616957,47737779,47981607,48144039,48341015,48381634,48774095,48868732,49056424,49057919,49236754,49454419,49788754,49992165,50052556,50238892,50246652,50549096,50810307,50944210,51048165,51213858,51236904,51402898,51978216,52013607,52211070,52430844,52703788,52823458,53016979,53075698,53211507,53312514,53324976,53651770,53703287,53740786,53768679,53836098,54406354,54451376,54655714,55157218,55188477,55354119,55433139,55595839,55636780,55639240,55643539,55691808,55827879,55926114,56379507,56422056,56536899,56540968,56867733,57008499,57251770,57641517,57746572,57785615,57817306,57840418,58009218,58073647,58188466,58475493,58528914,58647091,58715048,59073292,59146631,59768716,59887954,59899666,59934220,59990598,60130419,60652691,60737026,60771625,61059507,61133052,61257798,61445607,61599095,62594145,62630170,62653284,62783788,62846239,62866799,63281554,63367107,63433666,63474813,63608589,63614047,63705095,63761287,63924659,63948584,64382124,64903756,64922866,64953868,65383415,65592791,65880519,65905138,65972087,66032007,66054429,66201370,66245074,66561459,66656947,66764136,66767088,66856629,67043731,67165107,67195871,67287394,67454764,67473215,68353847,68517699,68702124,69017107,69116620,69342738,69554015,69638434,69687247,69903418,70062824,70161148,70338220,70383399,70383815,70513091,70549306,70620839,70649170,70754565,71260396,71273607,71421639,71566258,71625815,71921064,71942157,72039095,72452015,72475667,72576994,72704947,72716476,72925950,73230079,73477756,73703859,73917538,73918914,73963007,74509519,74682034,75109653,75112974,75156204,75193906,75413591,75471536,75638047,76008658,76035507,76304524,76446114,76903539,77204386,77316645,77507059,77568172,77624259,77787680,77898959,78460098,78636225,78820677,79061359,79441644,79490770,79495411,79591225,79823015,79879906,80198085,80229095,80634815,80911197,80967858,81387319,81425087,81815831,82062226,82235458,82241027,82250439,82461507,82471088,82480819,82686959,82919807,82939944,82950979,82953159,83038396,83041807,83126380,83373639,83464818,83492626,83620456,83723379,83878640,83958988,84231625,84405864,84460578,84672215,84779004,84842408,84905478,84910204,84923445,84967699,85022099,85318348,85383880,85544624,85554220,85645425,85809219,85810786,85876415,85950978,86000866,86119426,86277095,86292807,86446914,86767180,86827567,86844039,86942418,87153465,87185839,87349967,87511140,87771226,87777292,88095058,88111208,88291799,88664745,88782799,89373507,89559346,89712807,89820412,90172306,90402220,90585008,90592179,90653719,90877210,91190716,91355120,91601799,92043625,92169359,92244095,92253826,92669794,92775671,92777266,92779974,92791240,92891447,92939559,92963696,93307437,93345216,93414707,93821615,94073013,94085266,94363470,94449117,94526188,94575728,94635820,94747954,94817591,94945996,94956597,95224210,95265128,95388924,95447709,95509470,95586279,95747507,95787618,95858194,95914419,95993506,96056865,96173164,96237702,96274914,96503559,96761778,96953818,97652674,97700867,97724968,97870659,98129859,98380511,98433319,98453319,98473557,98481586,98623186,98712679,99125109,99277256,99553210,99751656,99807119,...,352158759342785768617559345922389374592978135803518664694596345624909657284988441241301101955258986969151088935532918544892203721251275039341581500376763494801642881595614339975673865826201478638576726775649202487122167890482857517336972113794144935102745244025762702712336236866416240695788467900448102569323939913350041500100512189952673242996346440396158008864403041969429791601312709859186186874461893280989951761625587479407714703501514202551732585663309001272661056738233839526049960030863416152711069434085982946574395420573715077035172919680920654343798625475322058737583323914274092468291466822903851167046429546962261977979476364305944355511222041855501325018756497688257141677289644025921553261282392219954687887868118476940952515430391149377612013672788972884447848082792783447215114298870795227515198376632269447267661836396409492042382999236170565239280334260455746894233963044266010513098837482160566656630007607874530409518158395772044298852175658298066958262267953490028377100687319026604694538551963358284202563165932335663172857031934197004304889808467242965761551812386893252858817415473742339441224440523890357139407202513359452801192753199234372603918675945252981587430502015177316127184198351549144976054985483254622636600370164119439584200610290949201751028813200522822484410190469564528947056451510645724675161930056384857283083347153227626895235887059293440772314659975480665605484711957380193680038539359467904208500766101230995450206426265897603852291193567050622578032068263134240655968095978250496532356201221806814044123240435710372989038299816043538239466219233682287598379697331144186989238156155978991697386037832314657168487195943598181842372104422081478843563498577221437017598720535726177333700970674107399742280798108945684018611237073506403266325973371106566078081203722375957743288763439118887747345731344012649639157907945716423130764137134612742255257308926961691788402574844087719030686459533012391326943278912875544324645009741667012068306742100794456076552080668577240280567720798256635826580492679396834425312122947589323357304195904073308437624189312289357895351306552547805569982010922544447215727530559360959167951689436677005873934321530899724235708098048571879121046097541812870758225671755097740691874260819319149003709618260843114850909407834722951215501284967200169357676720236828825271732556156509017747050184186767533138465869376448696606053349073044676034376957527642569489501920128413632241900867164177649138107732707368765358205165080840365627}
15730  6826571069509007348091112827411667220303009386095132504134580225: {47181,737101,924589,1298701,1392049,1578529,1911374,2098574,2321569,2472542,2697476,2783629,2947652,3404942,3610801,3697412,3962654,3976561,4067821,4159009,4885921,4944452,5144024,5193476,5337901,5428081,5787027,6064052,6146929,6593869,6644504,6684932,6772141,7039009,7127821,7475067,7659181,8451361,8559854,8626609,8976241,9063469,9758701,9777332,9845281,10112955,10190881,10373534,10385624,10393412,10787152,11274974,11391409,11561761,11634542,11683827,12135546,12172814,12185691,12359492,12493549,12530942,12830221,12888494,13165741,13423742,13499619,13957694,13999501,14195252,14329815,14330989,14413681,14439476,14496301,14506775,14844734,14908321,15154669,15285136,15563809,15971149,16052401,16070975,16133581,16214689,16432334,17135655,17182369,17195778,17262541,17342641,17408130,17437371,17481476,18278032,18356894,18535501,18536955,18568672,18850861,18960747,19008109,19144059,19285170,19297076,19403979,19556209,19772752,20178289,20410381,20562786,20570848,20758775,20889756,21102769,21179341,21466292,21522584,21637261,21706676,22016881,22243789,22244346,22547012,23099975,23142204,23332659,23814001,23986851,24109489,24131355,24212907,24256801,24342452,24470552,24788499,24910530,25352461,25544942,25641901,25654532,25740112,25778795,25917387,25930189,25948419,26048654,26145649,26280267,26288929,26571232,26645869,26739515,26843972,26859169,26885294,27142561,27213229,27437492,27529371,27719970,27776975,27911732,27915949,28142552,28267076,28403569,28426027,28503812,28555775,28717611,28749709,28957626,29208734,29231281,29373614,29562455,29567968,29845261,29892636,30251341,30393092,30520621,30587761,30890975,30934554,30981812,30989089,31069784,31255201,31660371,31800152,31915441,31981069,32087418,32177521,32371287,32490555,32529944,33050139,33127899,33263964,33332370,33534541,33916429,34092494,34232689,34266930,34267355,34357731,34358689,34599939,34656592,34715864,34953507,34963892,35020139,35046541,35108641,35474946,35479729,35546372,35554528,35775171,35970481,36092449,36168542,36396109,36551392,36577441,36596187,36613779,36826850,36960542,37035411,37061915,37069170,37276334,37296289,37404932,37434014,37592749,37683987,38041755,38063294,38220254,38347544,38587249,38648735,38793476,38882795,38988666,38990701,39048049,39055347,39333709,39370676,39437975,39540448,39626414,39997851,39998844,40011949,40123981,40499195,40522676,40569229,40577872,40608610,40624561,40885611,41120316,41120826,41282929,41329214,41470955,41763215,41955819,41984461,42193815,42253899,42357169,42463009,42515821,42588212,42686552,42726349,42924371,43039981,43092001,43140987,43315467,43471214,43505569,43812721,43863661,44089775,44167789,44192220,44230459,44474298,44483004,44529476,44529927,44668909,44682542,44832291,45006736,45015409,45309601,45326132,45358381,45480939,45504289,45601201,45650106,45651815,45734894,45842221,46007732,46271521,46318861,46366129,46378482,46466187,46507501,46631294,46659354,47020321,47027972,47138368,47296369,47325570,47478961,47593652,47644954,47670542,47930401,48022371,48506509,48599034,48684039,48684335,48724849,48730332,48854989,49027501,49092315,49285295,49369299,49398452,49411441,49473347,49765146,49914289,49960772,49996419,50028770,50115858,50202829,50243761,50412759,50480608,50632578,50649121,50970932,51083012,51375667,51438241,51476941,51581387,51669361,51859981,52161229,52365136,52421041,52425476,52627587,52894189,52907730,52930081,53030664,53218455,53249869,53371775,53452131,53769889,53871949,54143975,54207469,54404619,54599495,54600589,54782178,54888542,54920269,54985652,55017611,55139761,55263601,55294381,55310174,55546850,55717741,55721699,55747441,55777069,55865521,55867115,55955011,55982449,55982852,56126989,56138379,56155681,56184301,56289944,56298061,56354509,56434912,56687149,56766352,56790684,56903149,56956429,57035809,57087812,57140641,57598129,57622861,57659195,57769741,57914029,57950414,57985201,58012300,58087934,58102381,58148749,58308769,58331341,58418619,58420909,58421202,58574881,58636574,58746529,58772975,58892941,58910778,58921031,59076001,59142354,59272561,59291821,59311009,59397812,59405869,59443309,59461921,59572081,59590189,59617076,59659497,59679649,59732979,59835224,59853169,59920561,59970349,60034524,60051889,60178609,60475249,60503329,60544909,60639409,60673454,60678829,60854221,60866209,60925069,60948109,61015501,61069681,61080301,61085915,61277581,61304689,61304971,61320530,61398541,61406641,61453729,61479134,61519501,61546861,61671601,61691761,61715341,61724269,61764589,61778701,61791661,61808941,61811569,61827949,61853041,61856461,61856929,61858081,62013374,62565695,62673332,62798615,62808315,62810414,62930931,63186370,63326187,63489276,63650372,63733742,63862146,63975476,64046130,64192052,64780334,64972770,65128011,65519394,65538555,65841387,65879735,66037594,66656220,66995536,67040538,67229054,67314627,67356494,67435379,67747076,68064220,68285144,68315872,68401779,68753607,69191034,69304288,69351476,69545975,69549050,69614760,69907792,70159067,70377387,70527570,70676210,70742942,70948676,71083352,71099968,71218599,71358542,71691572,71781464,72162202,72183215,72572451,73167899,73303098,73393810,73581547,73584636,73805492,73841615,73855131,73910852,74143934,74237107,74255744,74437172,74568152,74683131,74710895,74851546,74917775,75078834,75172676,75229408,75358338,75369978,75382532,75802094,75823644,76011332,76416315,76820787,76855356,77030927,77097307,77104347,77345624,77723987,77967324,78038552,78316605,78464942,78479735,78646266,79055682,79235187,79261882,79613547,79824014,79935730,79936334,79968771,79987464,80173892,80477655,80495774,80611179,80754147,81129695,81192335,81343234,81412676,81493694,81510736,81609531,81677064,81927476,81983571,82152494,82370942,82735827,82753762,83356987,83455170,83458860,83537712,83889171,84318455,84489476,84633084,84811452,85509347,85842832,85877655,85892174,86395775,86619858,86725959,86760627,86825294,86867599,87013827,87282699,87291578,87578530,87701435,87793371,87840692,87848414,87922775,88042676,88072572,88609938,88748612,88857134,89018848,89022784,89064107,89075495,89142172,89553476,89565259,89653074,89831931,89849499,89901330,89985897,90146942,90844787,90895595,91105539,91356932,91602832,91699578,91847195,91886697,92083742,92369294,92456984,93844532,93945255,93979926,94175682,94239854,94339420,94607054,94922331,94981931,95031476,95150499,95228852,95375371,95380655,95514974,95894752,95922876,95924122,96497054,96573186,96849854,96960215,97234600,97287614,97355634,97384299,97430802,97721774,97965751,98271812,98558552,98857707,99302055,99367611,99712514,99884939,...,469545012457047691490079127896519166123970847738024886259461794166546209713317921655068135940345315958868118580710558059856271628335033385788775333835684659735523842127485786634231821101601971518102302367532269982829557187310476689782629485058859913470326992034350270283114982488554987594384623867264136759098586551133388666800682919936897657328461920528210678485870722625906388801750279812248249165949191041319935682167449972543619604668685603402310114217745335030214742317645119368066613374484554870281425912114643928765860560764953436046897226241227539125064833967096078316777765219032123291055289097205134889395239395949682637305968485741259140681629389140668433358341996917676188903052858701228737681709856293272917183824157969254603353907188199170149351563718630512597130777057044596286819065161060303353597835509692596356882448528545989389843998981560753652373779013940995858978617392354680684131783309547422208840010143832707212690877861029392398469567544397422611016357271320037836134249758702139592718069284477712270084221243114217563809375912262672406519744622990621015402416515857670478423220631656452588299254031853809519209603351145937068257004265645830138558234593670642116574002686903088169578931135398859968073313977672830182133826885492586112267480387932269001371750934030429979213587292752705262741935347527632900215906741846476377444462870970169193647849412391254363086213300640887473979615943173591573384719145957205611334354801641327266941901687863471803054924756067496770709424350845654207957461304333995376474934962409085392164320580947163985384399754724717652621625644909716797839596441525582652317541541305322263181383776419542891316261258130909123162805896108638458084664769628582690131627380968236444934627565476532989707730811927578691481649431341871021767964494808754770774938296501276991051684585491850329794308458683532852210543927621897507685516179483656340343078569282255717870099792116958707581946044016521769257705217167392432860012988889349424408989467725941435402774224769653707423627731008847768773990239195779233749497263452431143072261205431077916832252416385810527135075403397074093309347896725929620970040745814612223935585915569341165245762041199632314277464064762505494728130055750494344300895673463654255832347759092198671612824347790819801212543779630601620668379956266892476902293649105100362310074875345356996066912249023377517954492501931595474737798764059568045835943370190092652669226837884842989201156218903532184143643609825020477606886774453820836}
15731  6856706988003648803470030502566146836930813707386155946076765741: {15731,62908,2867061,3147861,3371845,3684565,3708813,4046214,4421478,4501021,4621765,5107413,5546118,5813941,5943981,6180565,6382981,6430030,6491845,7071229,7416678,7580065,7716036,7790214,8264941,8305630,8356165,8641333,9087421,9096078,9133861,9438758,9574981,9966756,10027398,10163989,10457893,11455501,12207709,12221665,12221869,12517933,12564541,12839781,12982030,12991765,13336021,13374494,13483940,13592029,14088229,14110561,14442181,14665998,14773981,15083198,15449365,15463438,15560301,15578436,15590118,15993278,16180728,16203814,16247588,16592614,16912461,16929541,17301158,17352709,17451813,17744065,17821933,17999492,18049345,18082753,18203319,18259221,18469862,18539238,18620929,18796413,18832261,18881101,19106420,19332741,19399501,19410481,20135613,20936541,21099709,21235693,21292878,21411733,21659214,21845374,21851845,21952741,22267101,22522598,22847540,22927704,23210840,23249828,23483581,23823349,24052513,24102781,24121345,24440614,24624733,24646933,24648501,24715940,25280996,25525412,25599878,25708021,25713560,25793667,25860109,25871972,26112195,26222214,26305969,26358622,26765173,26832865,26903230,27133345,27186061,27210133,27260558,27417048,27535341,27585661,27668929,27749761,27825133,27853008,28183765,28389133,28397893,28463701,28607389,28927755,28945614,29659128,29690414,29969521,30111974,30144061,30157153,30324518,30376381,30428065,30588190,30600229,30601582,30672001,30844179,30856272,31110212,31334634,31610461,31972093,31982468,32068165,32175140,32199438,32283876,32560014,32963821,33051332,33086593,33214040,33366519,33554101,33554965,33761221,33820518,34296865,34399429,34556516,34597892,34703341,34713306,34889665,35040356,35178190,35333845,35505638,35629765,35926334,36255061,36274382,36513678,36705828,36959960,37350733,37365795,37594933,37757374,37991365,38014141,38290148,38317413,38394061,38481798,38553541,38610168,38686021,38727265,38781109,38837230,39072981,39088129,39380894,39391118,39650773,39750190,39827078,39856848,40265958,40327941,40662430,41156238,41246072,41579955,41867598,42213828,42400614,42465958,42755718,42783224,43091821,43161716,43320740,43394830,43436439,43704865,43813101,44060421,44066852,44105038,44170532,44230238,44351952,44432965,44443160,44838954,45466909,45512101,45589638,45689240,45695329,45706081,45719509,45810308,45819494,46133252,46401831,46472718,46604676,46756165,46961134,47054821,47299928,47700228,47721949,47934430,48098878,48131127,48491845,48794916,48818372,48840613,49213345,49253701,49380548,49425560,49670558,49721221,49774093,49795118,49895946,49998555,50245316,50468821,50653345,50722340,51035182,51138741,51400395,51655201,51984888,52049701,52073796,52355821,52445838,52605214,53110621,53212419,53235265,53319558,53320693,53330468,53331792,53358190,53523502,54252813,54514148,54827088,54827768,55240275,55440813,55603755,55661845,55914501,55941092,56107398,56151021,56154661,56258420,56338532,56657665,56928049,57024781,57094941,57134374,57330381,57509665,57521316,57753956,57847814,58190214,58482999,58621094,58678741,58729141,58784965,58922960,59056014,59299064,59310672,59373236,59439621,59492065,59692981,59749501,59776388,59998266,60280414,60641252,60660589,60784014,60859501,60866808,60912915,61085798,61169318,61680474,61681239,61748065,61837976,61954916,61993821,62197933,62212472,62450965,62808781,63100760,63225709,63392881,63467521,63511838,63713665,63853765,63882318,64029828,64360222,64619342,64638901,64798712,64912052,64973776,65144161,65206821,65244454,65247133,65352589,65456420,65531845,65601349,65825732,66288330,66353528,66661892,66711447,66724506,66794214,66821144,67023813,67217012,67510104,67572109,67677421,67989198,68097829,68283733,68362621,68475159,68602341,68732065,69011598,69081421,69397774,69567723,69631489,69946941,69978565,69989031,70170116,70262893,70280341,70362430,70541958,70543640,70707552,70849669,70957940,70988355,71145901,71269508,71321894,71359765,71390478,71467431,71505813,71680453,71688181,71830069,72485149,72515375,72539492,72811981,72898551,73042904,73095498,73733509,73972501,74097678,74247265,74444821,74521345,74647719,74794030,74851172,74941158,75043155,75112478,75173787,75203558,75206941,75423469,75427621,75613102,75720912,75948867,76456398,76501862,76624518,76727101,77378389,77518753,77863678,77891492,77894936,78341665,78547704,78638214,78856472,78929173,79361595,79545996,79562965,79643972,79969345,80046032,80101921,80152478,80240065,80304829,80899861,81603181,81826333,81948721,82173267,82332813,82478478,82965261,83271301,83320275,83333653,83567389,83744420,83907908,83974278,84195661,84373838,84434916,84589249,84652368,84683845,85080275,85149528,85186026,85356430,85394840,85408774,85631718,85653061,85733581,85915429,86238733,86560141,86630360,86645941,86689345,86837348,86925621,87018450,87105469,87131901,87359192,87384740,87393829,87416494,87631803,87682238,87788516,87954861,88094833,88366167,88625149,88685845,88713531,88854190,88874960,89096718,89125153,89187133,89277542,89387384,89425614,89614465,89726830,89752836,89828414,89942113,89996678,90051786,91004509,91010181,91202372,91295941,91330861,91536781,91610941,91671476,91980795,92181361,92218701,92254712,92256865,92388565,92681918,92819680,93020061,93046465,93210190,93824414,93836516,93965845,94009998,94036760,94215621,94228165,94462501,94612813,94779555,94939969,94958132,95014165,95150869,95233914,95475558,95521093,95600613,95793219,95920609,95941333,95963214,96069195,96288078,96682030,96763268,97170501,97193941,97375621,97459155,97548190,97737464,98112848,98115838,98279091,98473508,98537341,98908838,99056391,99577508,99632269,99704701,99820141,99984330,...,704317518685571537235118691844778749185956271607037329389192691249819314569976882482602203910517973938302177871065837089784407442502550078683163000753526989603285763191228679951347731652402957277153453551298404974244335780965715034673944227588289870205490488051525405424672473732832481391576935800896205138647879826700083000201024379905346485992692880792316017728806083938859583202625419718372373748923786561979903523251174958815429407003028405103465171326618002545322113476467679052099920061726832305422138868171965893148790841147430154070345839361841308687597250950644117475166647828548184936582933645807702334092859093924523955958952728611888711022444083711002650037512995376514283354579288051843106522564784439909375775736236953881905030860782298755224027345577945768895696165585566894430228597741590455030396753264538894535323672792818984084765998472341130478560668520911493788467926088532021026197674964321133313260015215749060819036316791544088597704351316596133916524535906980056754201374638053209389077103926716568405126331864671326345714063868394008609779616934485931523103624773786505717634830947484678882448881047780714278814405026718905602385506398468745207837351890505963174861004030354632254368396703098289952109970966509245273200740328238879168401220581898403502057626401045644968820380939129057894112903021291449350323860112769714566166694306455253790471774118586881544629319950961331210969423914760387360077078718935808417001532202461990900412852531795207704582387134101245156064136526268481311936191956500993064712402443613628088246480871420745978076599632087076478932438467364575196759394662288373978476312311957983394772075664629314336974391887196363684744208844162957687126997154442874035197441071452354667401941348214799484561596217891368037222474147012806532651946742213132156162407444751915486577526878237775494691462688025299278315815891432846261528274269225484510514617853923383576805149688175438061372919066024782653886557825751088649290019483334024136613484201588912153104161337154480561135441596513271653160985358793668850624245895178646714608391808146616875248378624578715790702613105095611139964021845088894431455061118721918335903378873354011747868643061799448471416196097143758242092195083625741516451343510195481383748521638638298007419236521686229701818815669445902431002569934400338715353440473657650543465112313018035494100368373535066276931738752897393212106698146089352068753915055285138979003840256827264483801734328355298276215465414737530716410330161680731254}
15732  6886974896155258850813547923952499147329627115513929337291133257: {78635,94362,830987,955931,1111931,1298867,1392227,1474202,1609787,1764947,1849178,2043731,2321867,2352731,2537747,2597402,2691707,2784098,2814731,2968331,3157058,3702827,3822748,4189931,4197148,4341731,4523627,4643138,4945084,5097731,5368667,5394952,5518907,5567258,5728907,5878667,5895304,6069321,6147731,6416147,6624467,6632217,6773027,6809884,7039931,7069547,7221602,7394824,7483331,7601267,7925308,7953122,8135642,8318018,8319177,8656931,8977427,9093731,9528731,9645045,9673331,9771842,9888904,9933107,10288048,10386952,10536731,10675802,10794347,10856162,11125017,11574054,11685321,12072707,12128104,12293858,12458445,12691787,12831947,13083731,13187738,13289008,13369864,13501931,13544282,13613147,13644117,14078018,14084387,14158137,14255642,14608331,14855507,14950134,14992547,15041097,15184067,15318362,15402467,15593147,16000427,16135787,16854925,16902722,17050931,17119708,17184731,17253218,17611547,17824187,17952482,18126938,18538067,18774731,19036931,19473045,19517402,19554664,19690562,20061741,20181107,20225910,20309485,20381762,20438987,20567627,20721731,20747068,20771248,20786824,21105731,21131267,21207827,21487931,21574304,21998997,22095707,22347587,22397867,22499365,22549948,22624797,22782818,23123522,23195157,23269084,23367654,23385177,23842067,23883025,23989917,24112931,24137507,24260267,24271092,24305721,24345628,24371382,24718984,24888921,24987098,25061884,25089731,25210931,25452731,25660442,25776988,25951737,25957907,26292731,26331482,26673467,26847484,26886731,26999238,27146507,27499187,27592931,27704793,27808857,27915388,27920027,27999002,28082987,28199147,28390504,28430867,28559425,28615667,28659630,28661978,28776947,28827362,28878952,28992602,29013550,29062285,29098331,29531987,29689468,29816642,30309338,30547547,30570272,30681731,30894925,31015931,31127618,31259867,31458731,31601245,31906765,31920227,31939317,31942298,32104802,32141950,32247707,32267162,32339965,32429378,32443331,32488821,32768061,32789507,32864668,33112187,33603467,33783897,34271310,34364738,34391556,34489667,34525082,34685282,34816260,34874742,34962952,35010467,35072627,35176067,35485187,35505731,35690267,35731187,36090313,36118331,36542867,36556064,36643427,36660921,36713788,37003787,37071002,37073910,37137344,37242587,37302107,37435321,37701722,37893347,37921494,38016218,38288118,38302931,38380547,38399817,38570340,38594152,38785931,38807958,38887765,38958587,39112418,39333321,39339947,39358931,39537933,39545504,39755747,39978085,40018331,40218925,40297931,40354845,40356578,40372187,40594187,40649507,40820762,40890837,41016467,41125572,41141696,41198747,41235107,41307731,41314165,41387437,41517550,41560907,41779512,41830427,42205538,42358682,42487547,42540347,42733331,42932584,43045168,43064387,43195645,43247365,43274522,43413352,43418421,43426931,43529867,43785947,43800445,43870907,43938731,44033762,44175107,44443331,44487578,44488692,44535621,45022931,45094024,45167961,45170387,45284627,45486777,45528107,45882285,45902373,46199950,46231931,46284408,46295147,46389731,46484027,46665318,46842827,46935731,47001951,47028347,47319731,47628002,47683667,47773931,47862685,47973702,47974297,47983427,48087587,48218978,48262710,48299157,48425814,48513602,48646187,48684904,48733331,48747827,48840021,48877931,48941104,49079027,49434227,49504667,49576998,49602947,49821060,50005931,50415731,50496827,50671547,50704922,50730777,50950931,51089884,51095867,51283802,51309064,51460427,51480224,51524867,51557590,51614747,51678707,51834774,51860378,51886681,51896838,52033187,52069959,52097308,52220507,52291298,52369067,52430627,52560534,52577858,52767285,52903931,53142464,53258457,53271467,53291738,53330027,53376731,53479030,53619827,53654267,53677187,53687944,53711507,53718338,53770588,53779931,53791307,53889501,53952145,54108229,54117731,54150925,54228731,54285122,54327947,54411573,54426458,54435913,54770517,54874984,54930731,54941267,55058742,55083565,55150307,55181387,55213165,55304987,55439940,55457867,55553950,55787867,55823464,55831898,55886147,55944731,56003027,56176187,56285104,56374931,56534152,56570147,56597747,56616107,56636061,56652731,56698331,56698873,56807138,56852054,56914427,56923331,56976587,57007624,57111550,57152027,57262885,57435222,57499418,57535067,57568331,57609731,57666565,57722697,57805667,57853931,57915252,57933731,58020587,58059337,58255845,58417468,58432931,58462562,58468501,58550627,58586987,58716227,58747228,58758731,58800947,58811929,58863731,59071341,59086677,59095067,59124910,59134931,59135936,59167931,59323547,59329931,59418467,59424731,59455931,59511587,59608931,59625285,59690522,59692427,59740617,59785272,59785931,59866067,59871731,59983331,60086387,60144731,60196931,60222731,60268667,60398937,60450707,60488627,60493331,60502682,60521387,60558347,60590267,60652931,60657347,60696731,60718331,60743987,60786184,60879947,60883931,60907667,60959821,60961931,60993645,61022965,61033067,61041242,61072931,61108331,61125731,61146347,61156547,61175522,61190027,61196627,61238747,61291787,61300907,61362731,61374107,61421027,61444931,61455347,61563707,61626947,61708307,61725685,61731827,61734357,61739267,61756307,61768331,61780931,61781950,61813931,61822427,61824227,61836707,61853507,61869108,61873787,61963624,61978178,62139568,62277193,62510402,62801397,62806645,63320742,63402925,63600304,63600921,63698937,63830882,63912541,63962138,64133577,64174836,64355042,64742574,64981110,65020813,65059888,65092245,65852917,66100278,66157557,66255798,66345357,66527928,66663085,66664740,67069082,67258431,67832858,68142685,68158069,68184988,68384457,68465378,68533860,68534710,68715462,68717378,68729241,68999413,69199878,69313184,69431728,69709077,69907014,69926365,69927784,70040278,70093082,70217282,70323025,70423165,70441701,70949892,70959458,71092744,71109056,71550342,71901645,71940962,72148317,72184898,72192445,72337084,72792218,73102784,73154882,73192374,73227558,73653700,73921084,74070822,74123830,74138340,74216545,74505837,74552668,74592578,74692677,74720485,74809864,74843919,74868028,75185498,75367974,75368953,75801565,76083510,76126588,76439293,76440508,76552773,76695088,77174498,77297470,77443645,77586952,77765590,77977332,77981402,78096098,78110694,78213961,78667418,78668757,78741352,78875950,78907821,79080896,79252828,79696357,79979337,79995702,79997688,80023898,80037285,80247962,80285253,80722873,80998390,81045352,81138458,81140065,81155744,81217220,81249122,81515401,81771222,81820525,82240632,82241652,82282165,82565858,82658428,82915261,82941910,83327365,83526430,83911638,83968922,84021265,84161097,84387630,84507798,84714338,84926018,85031642,85176424,85373104,85452698,85520281,85701561,85848742,86079962,86093389,86184002,86281974,86630934,86771721,86942428,87011138,87285321,87591973,87625442,87712645,87727322,87918061,87931641,88179550,88335578,88384440,88460918,88584021,88697425,88948596,88966008,89058952,89059854,89086885,89337818,89365084,89664582,89997399,90013472,90030818,90420621,90619202,90652264,90674365,90716762,90961878,91008578,91176021,91202402,91300212,91303630,91469788,91628697,91684442,91753977,91855621,92015464,92231629,92520711,92543042,92637722,92732258,92756964,92932374,93015002,93262588,93318708,93563965,94040642,94055944,94276736,94592738,94651140,94957922,95187304,95267757,95289908,95341084,95823477,95860802,96044742,96540333,96929013,97013018,97198068,97364365,97368078,97368670,97449698,97460664,97709978,97866681,98055002,98184630,98570590,98738598,98796904,98822882,98946694,99432495,99530292,99554965,99828578,99921544,99992838,...,1056476278028357305852678037767168123778934407410555994083789036874728971854965323723903305865776960907453266806598755634676611163753825118024744501130290484404928644786843019927021597478604435915730180326947607461366503671448572552010916341382434805308235732077288108137008710599248722087365403701344307707971819740050124500301536569858019728989039321188474026593209125908289374803938129577558560623385679842969855284876762438223144110504542607655197756989927003817983170214701518578149880092590248458133208302257948839723186261721145231105518759042761963031395876425966176212749971742822277404874400468711553501139288640886785933938429092917833066533666125566503975056269493064771425031868932077764659783847176659864063663604355430822857546291173448132836041018366918653343544248378350341645342896612385682545595129896808341802985509189228476127148997708511695717841002781367240682701889132798031539296512446481699969890022823623591228554475187316132896556526974894200874786803860470085131302061957079814083615655890074852607689497797006989518571095802591012914669425401728897284655437160679758576452246421227018323673321571671071418221607540078358403578259597703117811756027835758944762291506045531948381552595054647434928164956449763867909801110492358318752601830872847605253086439601568467453230571408693586841169354531937174025485790169154571849250041459682880685707661177880322316943979926441996816454135872140581040115618078403712625502298303692986350619278797692811556873580701151867734096204789402721967904287934751489597068603665420442132369721307131118967114899448130614718398657701046862795139091993432560967714468467936975092158113496943971505461587830794545527116313266244436530690495731664311052796161607178532001102912022322199226842394326837052055833711220519209798977920113319698234243611167127873229866290317356663242037194032037948917473723837149269392292411403838226765771926780885075365207724532263157092059378599037173980829836738626632973935029225001036204920226302383368229656242005731720841703162394769907479741478038190503275936368842767970071912587712219925312872567936868073686053919657643416709946032767633341647182591678082877503855068310031017621802964592699172707124294145715637363138292625438612274677015265293222075622782457957447011128854782529344552728223504168853646503854901600508073030160710486475815197668469527053241150552560302599415397608129346089818160047219134028103130872582927708468505760385240896725702601492532947414323198122106296074615495242521096881}
15733  6917375367505911838285160424083546764080792777542586935555107190: {15733,31462,125816,141543,2211303,2773767,3896103,4176147,4720583,4735587,4778435,5158391,5246435,5734122,6181355,6295722,6470471,6743690,6964707,7369130,7416167,7417626,7543523,8092428,8350887,8356907,8512355,8652791,8842956,9002042,9088583,9237287,9243530,9862091,9906635,10214826,10508531,10612091,10794563,10832403,11092236,11179127,11627882,11698631,11887962,11929683,12011987,12203463,12361130,12477027,12566147,12765962,12803207,12860060,12983690,13593767,13990631,14142458,14444027,14657763,14833356,14849003,15059831,15160130,15432072,15494663,15580428,15770627,16013703,16063307,16284243,16529882,16611260,16712330,16810691,17110331,17282666,17361081,17696327,17824211,18174842,18188471,18192156,18267722,18440787,18877516,19149962,19412963,19529267,19781607,19905131,19918631,19933512,20054796,20316423,20327978,20507747,20915786,21102407,21117027,21383463,21399635,21629111,21694067,21955547,22425201,22911002,22926683,22977543,23826407,24105863,24415418,24443330,24443738,24841691,25035866,25129082,25269083,25354083,25679562,25711307,25755731,25879827,25933835,25964060,25983530,26672042,26748988,26928723,26967880,27184058,27190407,27213611,27589187,27672467,27753323,27897287,28154867,28176458,28187435,28221122,28611047,28884362,28919771,28931303,29086355,29276103,29331996,29535843,29547962,29577131,30166396,30338865,30432035,30561947,30572643,30592583,30675923,30898730,30926876,30942131,31120602,31156872,31180236,31327355,31614503,31729031,31986556,32221235,32361456,32407628,32495176,33185228,33495347,33559355,33769883,33824922,33859082,34174227,34602316,34685283,34705418,34894235,34903626,35051481,35368427,35488130,35643866,35998984,36001031,36098690,36163907,36165506,36406638,36518442,36557073,36939724,36972983,37078476,37111835,37241858,37480647,37566011,37592826,37664522,37762202,37986683,38212840,38490663,38665482,38744291,38786087,38799002,38820962,38957243,39026867,39111707,39457271,39497223,40187687,40271226,40498857,40994867,41080835,41526971,41873082,41998503,42199418,42471386,42585756,42599291,42823466,42989445,42992967,43241043,43318428,43488903,43520325,43690748,43703690,43902491,43905482,44534202,44724963,44895431,44925803,45045196,45464007,45517943,45695080,45719843,45855408,45892235,46059431,46421680,46499656,46600187,46691427,46747667,46967162,46976951,47646698,47684807,47913447,48015611,48061607,48105026,48157203,48161447,48205562,48212925,48242690,48400743,48644067,48845531,48846731,48881228,49184231,49249466,49293866,49297002,49431880,49467383,49881671,50496227,50561992,51050824,51083267,51199756,51393851,51406965,51416042,51427120,51547107,51587334,51720218,51743944,51787623,52027923,52224390,52312113,52444428,52611938,52717244,53187911,53530346,53665730,53806460,54032147,54036407,54218171,54266690,54372122,54420266,54521116,54834096,55070682,55171322,55337858,55499522,55606503,55610243,55610865,55650266,55701383,55706016,56038631,56367530,56398667,56552583,56778266,56795786,56882241,56927402,57024327,57214778,57432177,57855510,57891228,57948791,58211937,58668627,58733963,58761443,59016947,59318256,59380828,59705027,59939042,60223948,60288122,60314306,60383483,60534867,60649036,60752762,60856130,61176380,61186811,61200458,61203164,61231143,61344002,61513283,61688358,61694471,61712544,62206151,62220424,62276325,62669268,62976947,63220922,63308307,63538023,63862355,63944186,63964936,64136330,64350280,64398876,64567752,64911783,65120028,65121635,65152523,65321387,65458631,65927642,66050643,66102664,66173186,66428080,66731367,66733038,67108202,67109930,67193507,67213235,67392923,67522442,67567931,67641036,67888583,68593730,68798858,68893187,68898683,69113032,69195784,69299925,69347603,69406682,69426612,69640427,69779330,69997977,70080712,70356380,70667690,70850867,70914683,70993847,71011276,71259530,71442003,71689787,71697383,71852668,71960553,72328467,72394065,72510122,72548764,72638721,72702251,72770403,72794231,72821507,73021835,73027356,73028147,73158731,73411656,73434035,73462307,73919920,74365497,74529371,74701466,74731590,75189866,75437303,75514748,75982730,76028282,76057383,76580296,76634826,76788122,76925703,76963596,77107082,77208647,77220336,77336385,77372042,77454530,77528867,77562218,77674460,77714087,77752161,77790567,77845257,77926583,78145962,78176258,78436947,78761788,78782236,78840801,78866787,78868571,79301546,79320731,79500380,79516007,79654156,79713696,79857947,79937607,80112203,80218545,80513531,80531916,80577507,80655882,81324860,81427683,81639687,82298951,82312476,82492144,82588113,83159910,83288891,83330925,83731427,83735196,83747847,84427656,84600107,84801228,84931916,85210707,85231235,85278081,85511436,85566448,85664267,85667325,86050523,86152833,86183642,86249127,86323432,86447291,86641480,86657063,86789660,86815067,86872878,87405047,87409730,87431351,87439847,87626202,87643847,87693843,87980243,88120842,88133704,88210076,88341064,88460476,88687365,88703904,88865930,88886320,89136827,89199131,89395271,89535783,89677908,89855627,90421355,90677483,90754023,90933818,91024202,91179276,91378480,91390658,91412162,91439018,91447187,91561863,91589747,91620616,91638988,91744583,91763283,91840631,92067125,92266504,92401355,92672925,92803662,92871671,92945436,92948327,92967267,93190835,93209352,93512330,93585035,93765603,93922268,94109642,94599856,94801667,94905707,94981113,95158235,95400456,95443898,95550635,95746323,95762411,95868860,95943207,96197756,96214331,96224891,96231287,96262254,96440123,96532563,96743687,96983690,97113861,97471665,97589832,97636744,97681226,97820027,97969991,98426690,98458931,98507402,98761096,98851120,99066035,99150417,99341116,99383697,99442442,99503963,99548186,99571187,99590236,99791892,99903671,99964931,99997110,...,1408635037371143074470237383689557498371912543214074658778385382499638629139953764965204407821035947876604355742131674179568814885005100157366326001507053979206571526382457359902695463304805914554306907102596809948488671561931430069347888455176579740410980976103050810849344947465664962783153871601792410277295759653400166000402048759810692971985385761584632035457612167877719166405250839436744747497847573123959807046502349917630858814006056810206930342653236005090644226952935358104199840123453664610844277736343931786297581682294860308140691678723682617375194501901288234950333295657096369873165867291615404668185718187849047911917905457223777422044888167422005300075025990753028566709158576103686213045129568879818751551472473907763810061721564597510448054691155891537791392331171133788860457195483180910060793506529077789070647345585637968169531996944682260957121337041822987576935852177064042052395349928642266626520030431498121638072633583088177195408702633192267833049071813960113508402749276106418778154207853433136810252663729342652691428127736788017219559233868971863046207249547573011435269661894969357764897762095561428557628810053437811204771012796937490415674703781011926349722008060709264508736793406196579904219941933018490546401480656477758336802441163796807004115252802091289937640761878258115788225806042582898700647720225539429132333388612910507580943548237173763089258639901922662421938847829520774720154157437871616834003064404923981800825705063590415409164774268202490312128273052536962623872383913001986129424804887227256176492961742841491956153199264174152957864876934729150393518789324576747956952624623915966789544151329258628673948783774392727369488417688325915374253994308885748070394882142904709334803882696429598969123192435782736074444948294025613065303893484426264312324814889503830973155053756475550989382925376050598556631631782865692523056548538450969021029235707846767153610299376350876122745838132049565307773115651502177298580038966668048273226968403177824306208322674308961122270883193026543306321970717587337701248491790357293429216783616293233750496757249157431581405226210191222279928043690177788862910122237443836671806757746708023495737286123598896942832392194287516484184390167251483032902687020390962767497043277276596014838473043372459403637631338891804862005139868800677430706880947315301086930224626036070988200736747070132553863477505794786424213396292178704137507830110570277958007680513654528967603468656710596552430930829475061432820660323361462508}
15734  6947908978070300077553085808655248275737886127827226497448123282: {47193,110089,157270,188724,1049689,1143253,1661974,1911862,1982089,2223862,2353033,2597734,2784454,2948404,2999413,3219574,3458953,3529894,3698356,3733813,4087462,4372633,4643734,4705462,4736089,5075494,5194804,5383414,5568196,5629462,5729653,5936662,6314116,6446773,6981589,7070473,7405654,7645496,8219413,8307289,8379862,8394296,8601183,8683462,9047254,9269173,9286276,9443583,9703513,9890168,9963253,10115535,10136053,10195462,10737334,10789904,11037814,11053695,11126439,11134516,11252233,11457814,11757334,11763289,11790608,12102553,12138642,12295462,12832294,13113433,13248934,13264434,13448089,13503063,13546054,13619768,13864789,13865295,14079862,14139094,14279689,14443204,14692789,14789648,14966662,15021973,15202534,15322239,15431833,15850616,15906244,16075075,16271284,16636036,16638354,17053273,17313862,17441823,17454133,17831943,17853193,17954854,18187462,18541695,18724789,18803593,19057462,19118089,19148943,19290090,19346662,19475535,19543684,19777808,19866214,20576096,20750293,20764075,20773904,21073462,21134233,21213687,21351604,21588694,21712324,22250034,22740195,22952089,23148108,23370642,23400073,23596895,24140953,24145414,24256208,24587716,24794823,24916890,25068495,25093333,25383574,25456393,25663894,25817653,25923999,26167462,26375476,26578016,26739728,27003862,27088564,27226294,27262263,27288234,27401583,27596953,28087093,28156036,28168774,28316274,28433279,28511284,28724943,29056789,29125513,29216662,29711014,29900268,29985094,30012373,30082194,30368134,30491967,30636724,30804934,30820213,31186294,31373679,31499111,32000854,32271574,32404789,32455075,32729689,33436235,33629833,33693589,33709850,33805444,34101862,34239416,34366503,34369462,34506436,34891273,35223094,35511193,35648374,35879689,35904964,36253876,36623127,36664995,36665607,37076134,37549462,37553799,37693623,37707995,37742293,37918873,38073862,38519343,38560789,38658595,38946090,38975295,39034804,39109328,39365173,39381124,39931093,39983195,39987289,40008063,40123482,40267189,40362214,40451820,40509535,40618970,40687199,40763524,40776087,40877974,41041333,41135254,41150773,41423113,41443462,41481535,41494136,41542496,41573648,41585653,41855113,42211462,42229333,42262534,42264687,42331683,42415654,42441589,42975862,43148608,43252895,43326543,43434073,43996789,43997994,44191414,44241743,44321943,44450713,44500789,44669471,44695174,44750089,44795734,44998730,45099896,45249594,45275951,45292213,45565636,45729289,46174655,46208089,46247044,46348095,46390314,46538168,46680903,46735308,46770354,46959193,47373589,47684134,47766050,47979834,48225862,48275014,48520534,48542184,48611442,48669193,48691256,48742764,48756313,49144789,49437968,49777842,49974196,50028553,50123768,50179462,50193289,50421862,50438233,50737383,50788623,50905462,50960053,51235993,51320884,51353173,51547033,51553976,51624073,51903474,51915814,52058127,52355439,52585462,52662964,52672393,53104393,53232195,53346934,53465799,53694968,53732953,53773462,53801353,53998476,54105589,54148035,54248259,54272089,54293014,54442871,54599689,54609957,54613435,54777663,54951733,54998374,55031647,55185862,55202293,55409586,55617714,55830776,55840054,55862787,55867573,55955593,55969319,55998004,56165974,56306495,56389239,56398294,56496783,56553589,56643303,56781008,56854153,56861734,56934613,57118850,57231334,57319260,57323956,57553894,57654724,57728089,57757904,57825433,57839831,57985204,57998223,58027100,58110553,58124570,58196662,58198503,58226293,58231443,58540789,58671253,58735513,58841173,58882933,59063974,59342473,59378936,59437333,59548789,59567113,59633284,59728789,59884633,60147289,60163093,60225589,60302089,60406839,60473903,60506713,60546311,60603733,60618676,60670873,60736213,60837013,60897673,61095094,61101535,61132789,61140544,61184089,61233589,61320623,61363462,61454089,61461973,61687189,61789850,61803253,61855093,61867189,61868953,61873813,61889689,62031862,62255236,62519734,62809623,62917462,63202490,63299127,63707079,63813530,63840454,63878634,63884596,63999695,64209604,64235199,64283900,64495414,64534324,64679930,64858756,64886662,64977642,65536122,65555535,65579014,65729336,65858223,65896555,66224374,66801303,67007759,67206934,67258075,67452583,67567794,68151395,68542620,68729476,68783112,68979334,69050164,69370564,69505007,69632520,69749484,69925904,70020934,70145254,70352134,70450743,70970374,71011462,71380534,71462374,71470047,72157539,72180626,72236662,72308343,72364035,73085734,73112128,73286854,73321842,73427576,73600319,73874199,73940799,73945503,74007574,74142004,74147820,74226035,74274688,74485174,74604214,74870642,75279935,75403444,75533003,75786694,75811295,75842988,76032436,76470475,76503955,76576236,76605862,76761094,76799634,76842779,77050579,77116991,77124063,77140680,77188304,77298431,77381001,77571862,77580327,77615916,77743831,77775530,77917174,78224836,78336585,78666642,78679894,78717862,78917907,79075866,79091008,79511494,79956170,80036662,80168039,80295519,80437850,80498595,80595862,80709690,80713156,80733191,80744374,81188374,81299014,81400035,81558183,81630399,81641524,81781674,82032934,82251144,82283392,82397494,82470214,82606023,82615462,82628330,82756983,82774874,83006787,83035100,83121814,83249283,83475399,83559024,83660854,84411076,84551295,84717364,84975094,85080694,85167399,85193679,85391103,85432151,85466662,85822167,85865168,86090336,86128774,86391290,86415959,86494730,86549044,86783265,86826704,86836842,86853862,87059734,87571894,87600890,87741814,87877462,87929303,87945475,88067524,88350214,88764095,88886662,88975156,88977384,89071242,89072399,89815835,89908563,90045862,90188048,90335922,90340774,90432183,90471459,90569254,90685955,90973554,91056214,91129143,91284195,91764570,91800687,91804746,92016003,92399900,92463862,92532537,92568816,92590294,92779462,92968054,93328319,93330636,93685654,93871462,94003902,94056694,94393435,94639462,94831383,95256004,95367334,95399759,95547862,95725370,95916279,95947404,95948594,95966854,96175174,96204495,96222023,96336383,96437956,96525420,96598314,96851628,97027204,97093075,97292374,97369808,97466662,97495654,97680042,97755862,97882208,97896911,97990763,98158054,98452235,98477795,98592431,98868454,98891463,99009334,99153996,99205894,99259779,99375475,99567695,99642120,...,2112952556056714611705356075534336247557868814821111988167578073749457943709930647447806611731553921814906533613197511269353222327507650236049489002260580968809857289573686039854043194957208871831460360653895214922733007342897145104021832682764869610616471464154576216274017421198497444174730807402688615415943639480100249000603073139716039457978078642376948053186418251816578749607876259155117121246771359685939710569753524876446288221009085215310395513979854007635966340429403037156299760185180496916266416604515897679446372523442290462211037518085523926062791752851932352425499943485644554809748800937423107002278577281773571867876858185835666133067332251133007950112538986129542850063737864155529319567694353319728127327208710861645715092582346896265672082036733837306687088496756700683290685793224771365091190259793616683605971018378456952254297995417023391435682005562734481365403778265596063078593024892963399939780045647247182457108950374632265793113053949788401749573607720940170262604123914159628167231311780149705215378995594013979037142191605182025829338850803457794569310874321359517152904492842454036647346643143342142836443215080156716807156519195406235623512055671517889524583012091063896763105190109294869856329912899527735819602220984716637505203661745695210506172879203136934906461142817387173682338709063874348050971580338309143698500082919365761371415322355760644633887959852883993632908271744281162080231236156807425251004596607385972701238557595385623113747161402303735468192409578805443935808575869502979194137207330840884264739442614262237934229798896261229436797315402093725590278183986865121935428936935873950184316226993887943010923175661589091054232626532488873061380991463328622105592323214357064002205824044644398453684788653674104111667422441038419597955840226639396468487222334255746459732580634713326484074388064075897834947447674298538784584822807676453531543853561770150730415449064526314184118757198074347961659673477253265947870058450002072409840452604766736459312484011463441683406324789539814959482956076381006551872737685535940143825175424439850625745135873736147372107839315286833419892065535266683294365183356165755007710136620062035243605929185398345414248588291431274726276585250877224549354030530586444151245564915914894022257709565058689105456447008337707293007709803201016146060321420972951630395336939054106482301105120605198830795216258692179636320094438268056206261745165855416937011520770481793451405202985065894828646396244212592149230990485042193762}
15735  6978576306346309607260713063828481986156523063382023298398252925: {31466,62924,235905,251632,283086,2492961,2867793,3335793,3685505,3896601,4176681,4422606,4622945,4829361,5294841,5547534,6131193,6493505,6689809,6960245,6965601,7058193,7073033,7345009,7613241,7792206,7892645,8075121,8352294,8444193,8653897,8764561,8904993,9136193,9441166,9471174,9556870,10316782,10460561,10492870,11022337,11108481,11468244,11607845,11917297,12362710,12419173,12521129,12569793,12591444,12940942,13025193,13487380,13570881,13869289,13918145,13929414,14280233,14738260,14777753,14832334,14835252,14850901,15087046,15293193,16065361,16106001,16184856,16556721,16701774,16713814,17024710,17186721,17305582,17636001,17685912,17970049,18004084,18054005,18177166,18207963,18443193,18474574,18487060,18885929,19248441,19724182,19813270,19873401,19882805,19896651,19921177,20319081,20339105,20429652,20795045,20876113,20913841,21017062,21119793,21208641,21224182,21439909,21589126,21664806,21696841,22184472,22358254,22449993,22803801,23255764,23397262,23646677,23775924,23859366,24023974,24406926,24429605,24722260,24954054,24957531,25132294,25531924,25541753,25606414,25720120,25967380,25970793,26689505,26772017,26932281,27140405,27187534,27281193,27981262,28158481,28284916,28586193,28785817,28888054,28935001,28935135,29019993,29315526,29580913,29593553,29666712,29698006,29799321,29835761,29959489,30119662,30151769,30320260,30734645,30864144,30989326,31160856,31541254,31610193,32027406,32126614,32322097,32383041,32568486,32969345,32969521,33059764,33222520,33375051,33424660,33621382,33647009,33860705,33987893,34220662,34550969,34565332,34722162,35055963,35195045,35392654,35639105,35648422,36218121,36288149,36307369,36349684,36376942,36384312,36535444,36567973,36881574,37375335,37755032,38075361,38295905,38299924,38495841,38696009,38825926,39058534,39251193,39436277,39462409,39563214,39810262,39837262,39867024,40109592,40505793,40632846,40655956,40720897,40839441,40932351,41015494,41831572,42204814,42234054,42253161,42256805,42474411,42546673,42604849,42720953,42766926,42799270,43133045,43258222,43339217,43388134,43725209,43824993,43858297,43901861,43911094,44149289,44566521,44728673,44850402,44881205,44977641,45109729,45123291,45317345,45552201,45654337,45822004,45853366,45955086,46122661,46207401,46412497,46779441,46930249,46945553,46983097,47652814,47734313,48001281,48211726,48407361,48793505,48830836,48851929,48886660,48887476,49028041,49226405,49683382,49813993,50071732,50258164,50416169,50538166,50564775,50708166,50954405,51152793,51359124,51422614,51511462,51554193,51759654,51867670,51928120,51956569,51967060,52727873,52834641,53344084,53472561,53497976,53857446,53935760,54368116,54380814,54427222,54433873,55178374,55344934,55506646,55614201,55794574,55991989,56309734,56324193,56352916,56374870,56442244,56800081,56957045,57110793,57222094,57513169,57768724,57808805,57839542,57862606,58172710,58419135,58552206,58663992,58694009,59071686,59095924,59154262,60185223,60332792,60543321,60677730,60864070,60928455,61123894,61145286,61185166,61316961,61351846,61702881,61797460,61853752,61855637,61884262,62165193,62241204,62313744,62360472,62467745,62654710,63229006,63317193,63393801,63458062,63623481,63785809,63973112,64151105,64249129,64442470,64463793,64722912,64815256,64990352,65643841,65828705,65996991,65997689,66227473,66287121,66370456,66990694,67042761,67118710,67193601,67498095,67539766,67549109,67649844,67718164,67874391,68348454,69204632,69370566,69410836,69471253,69585471,69747301,69788470,69807252,69997505,70032889,70102962,70155531,70736854,70976260,71287732,71526201,71649075,71654945,71969751,71997968,72002062,72068405,72186773,72197380,72327814,72331012,72338793,72412521,72481505,72533875,72780801,72813276,72917163,73036884,73037521,73114146,73879448,73945966,74156952,74223670,74427301,74483716,74541605,74666763,74961294,75132022,75185652,75269193,75329044,75524404,75632793,75773345,75973366,76358193,76425680,76981326,77330964,77398673,77488582,77572174,77598004,77641924,77819045,77855211,77873721,77914486,78053734,78223414,78356849,78528673,78878193,78914542,78994446,79855745,80019937,80020401,80262005,80354875,80375374,80542452,80600657,80660193,80667905,80997714,81073445,81255457,81419221,81439521,81989734,82161670,82273433,82497561,82778793,82995989,83053942,83114379,83405093,83426571,83746164,83760081,83997006,84248961,84398836,84597441,84942772,85055081,85171512,85198582,85292601,85646932,85678275,85847001,85911845,85978890,85985934,86061781,86312705,86330841,86482086,86636856,86713205,86977806,87040650,87186855,87294993,87381496,87407380,87804982,87810964,88595961,89068404,89256353,89407297,89449926,89790862,89851606,89867161,90090392,90277669,90928014,91035886,91170289,91390160,91439686,91642641,91710816,91784470,91818833,91843921,92045193,92118862,92677505,92684775,92802313,92843360,92999312,93047793,93200374,93242741,93382854,93495334,93735977,93779601,93892073,93934324,93953902,94098529,94254305,94376193,94803735,95040545,95293396,95369614,95545841,95720295,95760681,95817951,95826894,96031222,96123214,96210052,96314406,96322894,96411124,96425850,96485380,96743121,96801486,97019895,97288134,97329993,97466463,97691062,97693462,97739609,97762456,97781045,98287097,98304183,98368462,98368521,98498932,98587732,98594004,98699513,98863760,98934766,99336561,99763342,...,3169428834085071917558034113301504371336803222231667982251367110624186915564895971171709917597330882722359800419796266904029833491261475354074233503390871453214785934360529059781064792435813307747190540980842822384099511014345717656032749024147304415924707196231864324411026131797746166262096211104032923123915459220150373500904609709574059186967117963565422079779627377724868124411814388732675681870157039528909565854630287314669432331513627822965593270969781011453949510644104555734449640277770745374399624906773846519169558785163435693316556277128285889094187629277898528638249915228466832214623201406134660503417865922660357801815287278753499199600998376699511925168808479194314275095606796233293979351541529979592190990813066292468572638873520344398508123055100755960030632745135051024936028689837157047636785389690425025408956527567685428381446993125535087153523008344101722048105667398394094617889537339445099909670068470870773685663425561948398689669580924682602624360411581410255393906185871239442250846967670224557823068493391020968555713287407773038744008276205186691853966311482039275729356739263681054971019964715013214254664822620235075210734778793109353435268083507276834286874518136595845144657785163942304784494869349291603729403331477074956257805492618542815759259318804705402359691714226080760523508063595811522076457370507463715547750124379048642057122983533640966950831939779325990449362407616421743120346854235211137876506894911078959051857836393078434670620742103455603202288614368208165903712863804254468791205810996261326397109163921393356901344698344391844155195973103140588385417275980297682903143405403810925276474340490831914516384763492383636581348939798733309592071487194992933158388484821535596003308736066966597680527182980511156167501133661557629396933760339959094702730833501383619689598870952069989726111582096113846752421171511447808176877234211514680297315780342655226095623173596789471276178135797111521942489510215879898921805087675003108614760678907150104688968726017195162525109487184309722439224434114571509827809106528303910215737763136659775938617703810604221058161758972930250129838098302900024941547775034248632511565204930093052865408893778097518121372882437146912089414877876315836824031045795879666226868347373872341033386564347588033658184670512506560939511564704801524219090482131459427445593005408581159723451657680907798246192824388038269454480141657402084309392617748783125405517281155722690177107804477598842242969594366318888223846485727563290643}
15736  7009377933325640833743885757386459157693548724336963609892760199: {47199,78655,94386,220178,314540,377448,424629,831199,1392583,1672303,2099378,2286506,2600023,3323948,3703783,3823724,3964178,4069399,4160623,4447724,4524799,4706066,5195468,5430199,5520343,5568908,5896808,5998826,6439148,6633909,6863863,6917906,7059788,7130623,7396712,7467626,7662199,7750543,8174924,8321301,8542399,8745266,8892463,9067063,9287468,9410924,9472178,9849199,9935743,10150988,10281199,10389608,10766828,10797223,11136392,11258924,11459306,11688309,11873324,11906383,12498583,12528441,12628232,12751303,12893546,13963178,14088199,14140946,14161749,14206761,14335305,14419543,14502199,14811308,14914399,14996623,15290992,15475173,15739305,16058983,16140199,16221343,16438826,16614578,16759724,16788592,16859225,17202366,17269663,17349799,17366924,17669623,18094508,18422825,18538346,18544065,18572552,18622183,18887166,19407026,19411413,19642423,19780336,19926506,20186743,20231070,20272106,20390924,20496199,20894121,21188263,21264799,21474668,21579808,22075628,22101943,22107390,22248501,22252878,22269032,22404199,22504466,22505105,22630569,22915628,23108825,23514668,23526578,23581216,24205106,24277284,24590924,25052661,25070721,25363399,25537065,25664588,25958373,26013343,26226866,26371903,26497868,26528868,26896178,27006126,27092108,27154399,27225103,27239536,27265749,27711861,27729578,27730590,27788143,27928183,28159724,28278188,28485463,28559378,28886408,29069705,29385578,29579296,29586273,29719905,29926399,29933324,30043946,30197263,30405068,30534223,30601399,30644478,30863666,30902825,31335583,31525593,31701232,31812488,31836273,31914905,31995463,32150150,32257399,32383689,32459225,32497209,32542568,32842543,33035653,33272072,33276708,33537381,33613663,34106546,34248343,34500199,34627724,34883646,34908266,35062663,35095893,35124799,35186863,35356145,35496103,35663886,35706386,35742199,35789049,35909708,35987143,36035961,36374924,36413023,36594463,36610389,36654799,37083390,37431081,37449578,37491943,37607186,37698441,37900325,38114924,38236178,38297886,38409621,38431399,38580180,38693324,38951070,39009199,39066583,39087368,39555616,39732428,39806023,40199143,40644103,40781301,41029663,41152192,41248399,41324705,41500586,41528150,41547808,41574343,41780825,41843983,41971893,42004903,42058399,42146924,42268466,42427374,42536623,42703208,43113199,43165183,43177388,43206665,43332081,43424648,43629799,43834423,43885399,43973289,44500068,44547009,45087223,45179493,45332383,45381199,45437105,45480390,45624199,45669305,45904178,46296216,46342399,46389703,46483989,46531183,46741284,46800146,46810729,47090623,47193790,47311881,47548903,47874905,47999983,48041109,48133903,48189921,48281906,48290828,48512416,48575623,48837199,48852729,49096183,49175432,49437463,49589646,49833780,50136990,50186666,50270503,50311399,50432073,50514799,50716399,50767148,50819945,50912786,51327788,51330993,51504799,51543463,51635306,51735703,51847998,52077199,52083243,52289465,52334924,52412863,52486663,52750952,52791193,52959343,53030983,53088981,53156032,53314663,53472633,53479456,53697199,54007724,54122033,54177128,54452588,54501583,54524526,54565413,54576468,54803166,54983263,55171399,55193906,55202503,55322361,55326199,55356943,55779799,55809463,55976473,56174186,56188543,56217199,56312072,56337548,56632548,56638399,56713349,56866558,57016903,57022568,57069823,57277505,57449886,57657703,57682399,57829063,57949303,58020583,58044199,58074149,58113578,58238889,58251026,58367263,58433324,58587801,58589383,58825399,58826933,59113183,59133199,59310103,59329399,59344821,59348623,59422028,59443663,59499823,59518399,59628343,59715393,59755893,59800536,59970188,60024746,60164388,60202399,60295063,60554053,60626263,60736268,60771199,60907423,60949269,60966463,60983934,61001023,61038545,61108325,61109345,61122199,61224799,61273448,61329343,61356343,61449799,61523241,61590703,61609868,61636063,61640426,61769263,61782223,61827583,61854799,61857463,61885543,61902823,61903903,61905199,62372588,62589665,62747358,62822705,62998222,63307221,63351081,64001708,64150389,64198905,64543148,64644517,64809578,64887333,64910150,64958825,65037401,65082201,65459378,65866641,66680105,66872470,67259666,67275603,67387178,67419700,67610888,67960145,68203724,68478832,68733006,68738924,68780049,68932629,69012872,69782546,70441145,70446188,70552805,71022386,71296748,71479221,71759378,71809928,72210905,72317589,72507752,73246254,73329990,73331214,73869905,74152268,74525073,75098924,75107598,75387246,75388181,75415990,75484586,75807249,75837746,76062249,76147724,76458809,77038686,77121578,77133921,77246825,77267193,77317190,77639481,77801505,77892180,77950590,78069608,78218656,78730346,78762248,78829093,79716689,79862186,79966390,79974578,80016126,80246964,80534378,80724428,80786169,80903640,81019070,81237940,81374398,81527048,81536213,81552174,81571221,81640833,81755948,82082666,82142281,82270508,82301546,82767561,82846226,82886924,82963070,82988272,83017401,83084992,83147296,83171306,83259969,83691861,83710226,84422924,84458666,84464601,84525068,84529374,84562305,84647705,84663366,84831308,84883178,85027217,85542149,85833141,85951724,86115353,86297216,86505790,86653086,86759313,86763545,86793909,86868146,87259065,87828309,87993578,87995988,88382828,88483486,88607529,88643886,88720325,88731393,88901426,89001578,89098229,89109665,89338942,89390348,89500178,89591468,89599573,89997460,90199792,90246725,90413765,90499188,90551902,90584426,91016595,91131272,91236101,91296105,91458578,91685841,91717929,91777749,91879073,92027769,92255177,92349310,92416178,92494088,92696190,92780628,92826393,93076336,93104645,93361806,93470616,93540708,93918386,93982065,94161305,94405505,94747178,94843509,95187093,95368268,95411953,95532100,95959668,96451724,96550028,96663705,96997505,97041068,97052405,97084368,97222884,97338386,97382512,97485528,97512626,98289578,98875936,99555684,99948392,...,4225905112113429223410712151068672495115737629642223976335156147498915887419861294895613223463107843629813067226395022538706444655015300472098978004521161937619714579147372079708086389914417743662920721307790429845466014685794290208043665365529739221232942928309152432548034842396994888349461614805377230831887278960200498001206146279432078915956157284753896106372836503633157499215752518310234242493542719371879421139507049752892576442018170430620791027959708015271932680858806074312599520370360993832532833209031795358892745046884580924422075036171047852125583505703864704850999886971289109619497601874846214004557154563547143735753716371671332266134664502266015900225077972259085700127475728311058639135388706639456254654417421723291430185164693792531344164073467674613374176993513401366581371586449542730182380519587233367211942036756913904508595990834046782871364011125468962730807556531192126157186049785926799879560091294494364914217900749264531586226107899576803499147215441880340525208247828319256334462623560299410430757991188027958074284383210364051658677701606915589138621748642719034305808985684908073294693286286684285672886430160313433614313038390812471247024111343035779049166024182127793526210380218589739712659825799055471639204441969433275010407323491390421012345758406273869812922285634774347364677418127748696101943160676618287397000165838731522742830644711521289267775919705767987265816543488562324160462472313614850502009193214771945402477115190771246227494322804607470936384819157610887871617151739005958388274414661681768529478885228524475868459597792522458873594630804187451180556367973730243870857873871747900368632453987775886021846351323178182108465253064977746122761982926657244211184646428714128004411648089288796907369577307348208223334844882076839195911680453278792936974444668511492919465161269426652968148776128151795669894895348597077569169645615352907063087707123540301460830898129052628368237514396148695923319346954506531895740116900004144819680905209533472918624968022926883366812649579079629918965912152762013103745475371071880287650350848879701251490271747472294744215678630573666839784131070533366588730366712331510015420273240124070487211858370796690828497176582862549452553170501754449098708061061172888302491129831829788044515419130117378210912894016675414586015419606402032292120642841945903260790673878108212964602210241210397661590432517384359272640188876536112412523490331710833874023041540963586902810405970131789657292792488425184298461980970084387524}
15737  7040314442504474237923497798977967989843703981892407122925490559: {15737,62932,125848,141579,330267,393175,471810,503264,566172,3149067,3429759,4154935,4779655,4985922,5159707,5559655,5735586,5946267,6472123,6494335,6671586,6961135,7059099,7371010,7418059,7793202,8048935,8106043,8353362,8359039,8824735,8845212,8998239,9090907,9245890,9658722,9744343,9864607,10167883,10218655,10376859,10589682,10797319,10928263,11049703,11095068,11181979,11201439,11609335,11763655,12262386,12688735,12987010,13117899,13186039,13379618,13458535,13597243,13920490,13931202,13994203,14073655,14115967,14116386,14146066,14208267,14282059,14690018,14841655,15226482,15498619,15584412,15707983,15785290,16150242,16250983,16676143,16704588,16814983,16876639,16888386,16936027,17188959,17307794,17529122,17809986,18272386,18383563,18514135,18628063,18882332,18888343,18942348,19090759,19113740,19340319,19417927,19485403,20633564,20921122,20944767,20949655,20985740,21005863,21107803,21211419,21345943,21708655,22044674,22216962,22618135,22936488,23215690,23834594,24112027,24658239,24725420,24838346,24921867,25042258,25139586,25182888,25275607,25488655,25545019,25803549,25881884,26050386,26261239,26428639,26775439,26817823,26843335,26887663,26974760,27141762,27594535,27679543,27738578,27807519,27835927,27836290,27858828,28330749,28474747,28560466,28581883,28618363,28644535,29110539,29113063,29393335,29476520,29555506,29664668,29670504,29701802,29889759,29981047,30155623,30174092,30346605,30390463,30408159,30586386,30683767,30738655,31622587,32080735,32130722,32212002,32369712,33113442,33122335,33161085,33379317,33403548,33427628,33756699,33865135,33988603,33992239,34049420,34144303,34201447,34373442,34555387,34611164,34974199,35199655,35272002,35289867,35347735,35371824,35645839,35806039,35940098,36008168,36108010,36292807,36307659,36354332,36415926,36817903,36886386,36949148,36974120,37365307,37416655,37771858,37996567,38006335,38408827,38496882,39036943,39340299,39448364,39626540,39708559,39746802,39764647,39765610,39793302,39842354,39965623,40312639,40344267,40509189,40546999,40557343,40638162,40678210,40859304,41057383,41590090,41594367,41595885,41752226,41827682,42034124,42239586,42417282,42448364,42839067,42879818,42932863,43028503,43178252,43284655,43329612,43393682,44075839,44078367,44368944,44716508,44808343,44887135,44899986,45065919,45468655,45607602,45712903,45731647,45966717,46157083,46295499,46511528,46794524,46951579,47291263,47293354,47404987,47551848,47643655,47718732,48047948,48074059,48225225,48366655,48409903,48813852,48859210,49273063,49343323,49444520,49665535,49894747,49908108,49915062,50264588,50488399,50944087,51063848,51083506,51159819,51212828,51440240,51675247,51934760,51941586,52120603,52325469,52362399,52683655,52861159,53066959,53379010,53495829,53544034,53559579,53614267,53864562,53971735,54280810,54369739,54375068,54562386,55625085,55962524,56174367,56316962,56347483,56410779,56413279,56569832,56949943,57172386,57354267,57384823,57446829,57571634,57776108,57870002,57870270,58039986,58300699,58426605,58631052,58749127,59032303,59159527,59161826,59187106,59333424,59396012,59598642,59671522,59693359,59787487,59918978,60239324,60303538,60363535,60386263,60640520,60882907,61469290,61728288,61837639,61978652,62004283,62250879,62292225,62314759,62321712,62758639,62833687,63082508,63220386,63402699,63444283,63458935,63641061,64054812,64159735,64253228,64644194,64766082,65136972,65258983,65377723,65418655,65938690,65939042,66119528,66121543,66445040,66750102,66849320,66941743,67230439,67242764,67294018,67509655,67721410,67975786,68065735,68220585,68310907,68441324,68628799,68856267,68916967,69101938,69130664,69365647,69444324,70111926,70200219,70390090,70421935,70549963,70657423,70785308,70790685,70803703,71278210,71296844,71336167,72196039,72422859,72436242,72576298,72614738,72699368,72721087,72753884,72768624,73041655,73070888,73135946,73752103,73762123,73763148,73820923,74277535,74384469,74750670,74962735,75205485,75265063,75279999,75453103,75462943,75496063,75510064,75708079,75920335,76150722,76369179,76591810,76599848,76757263,76841887,76991682,77012335,77392018,77452959,77651852,77734459,77771997,77965735,78117068,78366907,78385483,78502386,78872554,78924818,79126428,79620524,79674524,79734048,79739863,79821463,80002135,80219184,80440447,80678935,80932327,81011586,81067783,81265692,81311912,81441794,81501223,81678882,81786789,81864702,82030988,82204749,82790859,83415799,83581003,83663144,84261279,84274625,84409628,84468108,84506322,84513610,84948822,85056679,85093346,85199983,85209698,85254655,85299837,85441906,85533852,85598540,85732663,85766839,85923655,86159323,86174829,86266090,86516444,86678434,86776268,87170367,87376539,87394903,87450418,87454843,87649986,87716594,87803722,87822188,88057735,88129207,88298578,88614343,89120935,89133042,89170063,89457346,89700804,89762410,89811547,89955282,90037119,90219458,90246582,90634690,90685327,91104402,91308674,91471159,91475901,91644008,91706732,91830619,91910172,92160187,92245322,92414802,92460639,92690335,92760223,92824994,92909503,93463099,93558882,93748183,93860498,93873655,93891106,93966194,94121037,94405279,94497333,94826143,95184655,95305628,95468626,95796763,96002562,96150703,96256219,96423452,96814722,97214367,97232239,97365225,97587010,97661672,97703858,97752523,97773320,97774952,97996507,98056082,98189067,98452810,99366764,99388327,99627986,...,6338857668170143835116068226603008742673606444463335964502734221248373831129791942343419835194661765444719600839592533808059666982522950708148467006781742906429571868721058119562129584871626615494381081961685644768199022028691435312065498048294608831849414392463728648822052263595492332524192422208065846247830918440300747001809219419148118373934235927130844159559254755449736248823628777465351363740314079057819131709260574629338864663027255645931186541939562022907899021288209111468899280555541490748799249813547693038339117570326871386633112554256571778188375258555797057276499830456933664429246402812269321006835731845320715603630574557506998399201996753399023850337616958388628550191213592466587958703083059959184381981626132584937145277747040688797016246110201511920061265490270102049872057379674314095273570779380850050817913055135370856762893986251070174307046016688203444096211334796788189235779074678890199819340136941741547371326851123896797379339161849365205248720823162820510787812371742478884501693935340449115646136986782041937111426574815546077488016552410373383707932622964078551458713478527362109942039929430026428509329645240470150421469557586218706870536167014553668573749036273191690289315570327884609568989738698583207458806662954149912515610985237085631518518637609410804719383428452161521047016127191623044152914741014927431095500248758097284114245967067281933901663879558651980898724815232843486240693708470422275753013789822157918103715672786156869341241484206911206404577228736416331807425727608508937582411621992522652794218327842786713802689396688783688310391946206281176770834551960595365806286810807621850552948680981663829032769526984767273162697879597466619184142974389985866316776969643071192006617472133933195361054365961022312335002267323115258793867520679918189405461667002767239379197741904139979452223164192227693504842343022895616353754468423029360594631560685310452191246347193578942552356271594223043884979020431759797843610175350006217229521357814300209377937452034390325050218974368619444878448868229143019655618213056607820431475526273319551877235407621208442116323517945860500259676196605800049883095550068497265023130409860186105730817787556195036242745764874293824178829755752631673648062091591759332453736694747744682066773128695176067316369341025013121879023129409603048438180964262918854891186010817162319446903315361815596492385648776076538908960283314804168618785235497566250811034562311445380354215608955197684485939188732637776447692971455126581286}
15738  7071386419894181338090961966217002218477246043723463614500109003: {78665,94398,110117,157310,172997,188772,440356,629080,707715,754896,849258,925061,1049957,1112357,1392761,1517177,1662398,1703561,2044517,2137337,2446217,2785061,2785166,3061577,3276197,3344606,3520997,3734777,4191557,4198756,4282697,4573012,4797797,5190137,5200046,5340677,5821061,5970761,6269561,6418661,6597317,6647896,6716261,6864761,7042697,7131557,7309061,7407566,7478883,7647448,7928057,7928356,8138798,8321246,8603379,8747897,8895448,9049598,9068261,9097337,9184517,9329657,9412132,9532517,9763877,9965897,10007379,10196297,10390936,10860398,11040686,11056515,11137816,11511161,11689803,11766437,11793616,11997652,12077561,12530043,12781061,12878296,13172837,13267818,13451717,13507397,13727726,13835812,13868835,13923977,14119576,14261246,14283557,14338757,14488083,14614277,14696777,14793424,14935252,15026057,15272261,15324398,15501086,15681161,15884523,16223561,16331657,16349848,16642602,17084798,17191817,17272037,17458937,17490532,17784926,18096761,18134126,18229061,18393579,18466697,18574936,18624761,18651077,18782537,18821848,18861317,18944356,19018661,19123397,19480515,19698398,19871486,20069427,20301976,20562398,20779216,20880735,20896803,21174579,21191237,21216761,21219099,21533656,21594446,21750917,22035027,22272784,22357061,22517848,22839723,22918612,23332217,23376618,23456357,23602915,23677935,23746648,23812766,23892175,23975561,24225363,24368777,24997166,25056882,25256464,25332579,25463717,25502606,25787092,25791955,25825097,25961691,26041061,26232175,26293683,26375717,26661317,26714979,26874761,27229061,27323237,27408579,27675257,27792197,27815561,27926356,28176398,28281161,28281892,28323498,28413522,28512761,28670610,28766597,28839086,29004398,29111177,29339897,29622616,29828798,29993246,30224261,30359237,30561161,30581984,30695417,30762437,30873977,30906775,30950346,31340261,31362377,31381683,31478610,31507147,31539017,31693157,32000261,32117966,32131397,32280398,32352355,32442686,32457977,32523077,32877652,33067011,33229156,33320057,33325443,33519448,33577184,33640037,33718450,33937061,34063877,34337657,34404732,34539326,34699598,34733848,34823535,35088761,35339246,35501561,35522117,35751891,36189016,36195977,36418661,36845650,37076692,37080835,37088130,37145104,37200377,37244366,37257519,37319561,37398857,37563387,37616261,37709379,37717615,37774332,37793417,38204261,38611577,38688761,38814052,38822826,38861957,38977061,39075579,39284846,39358661,39529337,39560672,39831161,39853012,40037477,40317257,40373486,40462140,40544212,40595237,40669061,40697587,40712643,40781848,40992398,41054537,41309561,41472677,41581061,41599097,41607867,41754435,41784535,41788242,41868677,42376526,42384761,42455417,42490697,42529598,42561161,42561775,42824261,42840699,42928997,42949336,43068197,43159616,43189577,43263955,43534217,43960517,44011337,44151256,44203886,44214780,44333259,44497002,44505756,44515577,44538064,44548937,44552703,44680867,44764997,44808398,45008932,45010210,45094757,45111161,45193061,45261138,45339977,45442915,45776837,45831256,45879579,46186435,46217650,46223717,46255397,46302857,46413317,47006117,47029336,47053156,47098661,47114057,47162432,47328761,47389817,48157061,48196083,48318003,48410212,48540197,48554568,48598661,48758777,48975557,49181848,49310455,49375397,49460261,49498603,49533175,49670163,49949561,50032457,50105322,50141442,50238437,50442617,50726798,50978297,51017957,51074130,51329176,51371657,51560163,51565637,51745061,51821477,51916746,52026686,52199237,52249061,52434761,52453732,52496261,52508537,52542655,52743806,52908003,52933157,52969097,52995736,53057736,53060455,53441417,53499557,53684261,53741561,53792356,53910147,53972815,53980037,54012252,54148217,54162015,54181637,54184216,54248261,54292517,54308798,54450206,54479072,54531498,54623889,54641957,54685061,54845561,54993737,55119497,55213061,55223417,55329579,55367561,55423722,55459156,55461180,55560677,55576286,55731017,55856366,55859717,55895635,55908857,56006537,56064761,56170757,56209061,56319448,56436197,56556376,56575817,56631161,56657787,56948261,56970926,56983877,57037061,57081161,57118756,57220937,57669317,57745323,57772816,57848837,57854587,57913157,57961061,57969017,58139410,58149797,58493155,58752761,58771156,58969637,59132261,59158592,59172546,59192057,59290277,59367557,59386697,59439810,59456261,59462537,59512457,59620203,59647097,59648415,59665157,59689953,59730761,59754377,59763531,59841797,59852798,59866648,59994617,60059935,60087892,60125561,60184037,60251897,60262217,60394526,60489331,60505061,60528761,60575561,60639737,60810136,60925157,60957243,60980261,60995717,61014857,61017315,61068446,61093061,61125497,61150277,61160777,61167737,61198661,61202798,61232261,61261817,61281161,61288956,61343561,61373561,61488197,61521737,61605317,61607561,61650761,61652837,61671161,61727332,61746437,61790117,61797257,61805561,61805650,61817477,61825061,61835897,61843877,61859657,61872761,61881161,61892261,61900997,61914761,62385135,62628339,62671166,62741523,62830735,63051186,63359379,63402464,63611947,63624976,63625923,63672546,63829810,63937027,63990926,64016035,64300300,64319727,64514798,64767378,64918450,64994418,65085136,65090523,65685086,66071306,66544144,66553416,67024867,67074762,67227326,67349979,67968835,68213092,68411403,68496686,69000398,69255448,69522739,69767292,69816532,69953155,70125326,70191786,70194883,70249598,70373726,70712290,70940031,70992206,71147923,71327772,71412772,71484398,71578098,71819416,71974286,72071922,72220135,72749848,72826046,73188926,73205251,73220778,73288815,73309598,74166780,74245015,74862162,74872593,74899156,74983886,75214372,75299155,75396882,75800650,76229848,76472356,76595772,76625259,76819242,76862383,76862798,77160360,77386648,77473315,77902140,77912379,78018398,78133166,78174736,78853135,79111232,79464856,79612046,80068515,80188507,80316051,80316535,80398286,80796843,81288206,81421215,81562602,81843579,82059326,82304384,82496798,82649410,83001172,83056300,83095616,83148686,83561650,83687966,83943786,84009806,84053455,84116798,84293848,84475443,84536932,84854748,85073246,85406416,85453963,85551655,85553083,85758579,86226398,86330366,86354776,86357451,86413330,86664162,86805003,86805405,86849296,87059979,87259598,87625531,87668846,87770798,87946578,87951787,88481635,88742739,88780659,89000136,89094018,89095123,89121055,89397963,89507283,89878467,90174446,90358986,90455307,90664766,90762398,90874210,90891163,90942355,90960780,91248398,91338610,91808356,92203935,92592432,92684798,92779406,92967978,93062366,93352147,93482568,93600292,93621458,94181246,94387580,94623762,94830579,95030419,95097806,95144203,95749810,95999966,96082218,96246571,96267806,96360979,96379842,96563812,96581656,96966291,97024832,97064815,97149123,97151246,97646335,97674398,97705458,98192366,98350864,98617603,98773927,98874926,98908035,98908563,99179292,99525655,99593155,99667560,...,9508286502255215752674102339904513114010409666695003946754101331872560746694687913515129752791992648167079401259388800712089500473784426062222700510172614359644357803081587179343194377307439923241571622942528467152298533043037152968098247072441913247774121588695592973233078395393238498786288633312098769371746377660451120502713829128722177560901353890696266239338882133174604373235443166198027045610471118586728697563890861944008296994540883468896779812909343034361848531932313667203348920833312236123198874720321539557508676355490307079949668831384857667282562887833695585914749745685400496643869604218403981510253597767981073405445861836260497598802995130098535775506425437582942825286820388699881938054624589938776572972439198877405717916620561033195524369165302267880091898235405153074808086069511471142910356169071275076226869582703056285144340979376605261460569025032305166144317002195182283853668612018335299729010205412612321056990276685845196069008742774047807873081234744230766181718557613718326752540903010673673469205480173062905667139862223319116232024828615560075561898934446117827188070217791043164913059894145039642763994467860705225632204336379328060305804250521830502860623554409787535433973355491826914353484608047874811188209994431224868773416477855628447277777956414116207079075142678242281570524190787434566229372111522391146643250373137145926171368950600922900852495819337977971348087222849265229361040562705633413629520684733236877155573509179235304011862226310366809606865843104624497711138591412763406373617432988783979191327491764180070704034095033175532465587919309421765156251827940893048709430216211432775829423021472495743549154290477150909744046819396199928776214461584978799475165454464606788009926208200899793041581548941533468502503400984672888190801281019877284108192500504150859068796612856209969178334746288341540257263514534343424530631702634544040891947341027965678286869520790368413828534407391334565827468530647639696765415263025009325844282036721450314066906178051585487575328461552929167317673302343714529483427319584911730647213289409979327815853111431812663174485276918790750389514294908700074824643325102745897534695614790279158596226681334292554364118647311440736268244633628947510472093137387638998680605042121617023100159693042764100974554011537519682818534694114404572657271446394378282336779016225743479170354973042723394738578473164114808363440424972206252928177853246349376216551843467168070531323413432796526728908783098956664671539457182689871929}
15739  7102594454032081099096463977188156227860887946580712775182755600: {15739,31474,125864,141597,235965,251696,283158,550445,660534,786350,943620,1006528,1132344,1273887,2493597,4177749,5016909,5248445,5716265,5816909,6298134,6691517,6859518,7783517,7800069,8309870,8766797,9092069,9559310,9579869,9745589,9910445,9971844,10319414,10512557,11025149,11111349,11119310,11268509,11461349,11471172,11542157,11765165,11892534,12016589,12208197,12213941,12354629,12481869,12944246,12988670,13342829,13343172,13574397,13598981,13922270,14095421,14118198,14306117,14742020,14836118,14997065,15586404,15776669,16069469,16097870,16212086,16240457,16253069,16290597,16469117,16561029,16706724,16718078,16878797,17294765,17555981,17649470,17690424,17764229,17974637,17996478,18181814,18491780,18669065,18727181,18841949,19317444,19420409,19488686,19536749,19703117,19708169,19729214,19901727,19912757,20335766,20437310,20591589,20753718,20778317,21008549,21110501,21179364,21391869,21594638,21702389,21726029,21794597,21856526,21863165,22099406,22190136,22363958,22402878,22818077,22986597,23218670,23251629,23477141,23527310,23680445,23757737,24115109,24524772,24963903,25377470,25627197,25919789,25974020,26235798,26264597,26372078,26677389,26759236,26917070,27194486,27201189,27348869,27683081,27840980,27862404,27988406,28147310,28231934,28232772,28292132,28416534,28564118,28622021,28648265,29329517,29380036,29547597,29588477,29683310,29807229,29972861,30392117,30394349,30452964,30687689,30843597,30997238,31168824,31415966,31570580,31626629,31665389,31776329,32233865,32300484,32391669,32486357,32501966,33352286,33409176,33508229,33629966,33753278,33776772,33778589,33872054,34148669,34377918,34615588,34845989,34907945,35058244,35064927,35301737,35352365,35619972,35650397,35684117,35719149,36544772,36767126,36822629,37028270,37256126,37495749,37580669,37585323,37764664,37776686,37884696,38181518,38227480,38253909,38275421,38632349,38680638,38835854,38970806,39126749,40102349,40168349,40562549,41097065,41149421,41150669,41267128,41536445,41842244,41889534,41899310,41971480,42011726,42213929,42215606,42264597,42422838,42485247,42620283,42691886,43005915,43034117,43092821,43113989,43258629,43417310,43506597,44089348,44433924,44667461,44743197,44913029,44989869,45027149,45236270,45872976,46134569,46345865,46371269,46425519,46431380,46618109,46928297,47079197,47217915,47411189,47669188,47819657,47965949,48176949,48224054,48420597,48517565,48664029,48865517,49279517,49314761,49316478,49450840,49486829,49676692,49816265,49843734,50084516,50279172,50365776,50551214,50577675,50589941,50680265,50977310,51090038,51607098,51748517,51763768,51808989,52049397,52100772,52383317,52522478,52854941,52857278,53008869,53208869,53550878,53588789,53635646,53686670,53775326,53949520,54283524,55189070,55268475,55359086,55463069,55477156,55615038,55632195,55637957,55671854,55672580,55717656,55866549,56183549,56212781,56261165,56661498,56814797,56937509,56949494,57054437,57120932,57163766,57236726,57289070,57392189,58221078,58226126,58234239,58300937,58786670,58816445,58927269,58953040,59111012,59329336,59341008,59403604,59727989,59779518,59962094,60311246,60314249,60348184,60512765,60560229,60598517,60693210,60780926,60816318,61172772,61342397,61367534,61477310,61488597,62012357,62045177,62682363,62715497,62841989,63245174,63564789,63656117,63794397,63989981,64161470,64261444,64424004,64739424,65346509,65567165,65660789,66226884,66244670,66305829,66322170,66701117,66745503,66758634,66807096,66821309,66855256,66950477,67086821,67212597,67219349,67240445,67513398,67515315,67593917,67713317,67730270,67891707,67977206,67984478,68098840,68132861,68288606,68402894,68746884,68920181,69110774,69222328,69323945,69326475,69531749,69765449,69948398,70399310,70544004,70546697,70579734,70695470,70743648,70886717,71182757,71291678,71398445,71612078,71867021,71880196,72016336,72216020,72585614,72615318,72708664,72716261,72831852,73277789,73463945,73635806,73757117,73772772,73830581,73898296,73948240,74213957,74277029,74730614,74833310,75109865,75157983,75212163,75543716,75560429,75686717,75717797,75993134,76012670,76090197,76611195,76767317,76817654,76993764,77159165,77875119,78040029,78073886,78680598,78896728,78970061,79112969,79115709,79253080,79417118,79463597,79493604,79529294,79531220,79586604,79684708,79831709,79931246,80375375,80455757,80625278,80688534,81018378,81093998,81114686,81276324,81276509,81356420,81463197,81646037,81675309,81718608,81797247,82114766,82428821,83135583,83180180,83188734,83191770,83364429,83377229,83504452,83655364,83784549,84068248,84479172,84508949,84834564,84896728,85022309,85067597,85266365,85456389,85678134,85759636,85865726,85882109,86057006,86356504,86569310,86605157,86659224,86787364,86883437,87121997,87209115,87242909,87270665,88151678,88156734,88670741,88737888,88758819,88842509,89159715,89171849,89181509,89265965,89433016,89513981,89616686,89774270,89779197,89799972,89823629,89904029,90131838,90377837,90591789,90713129,90937310,91208009,91215204,91425806,91463294,91586117,91602669,91658069,91804197,91867997,91933434,92192777,92314166,92590998,92637389,92708475,92921429,93023056,93589048,93623945,93903158,94006749,94017965,94417397,94513517,94576779,94582526,94586708,94725677,94809974,95103696,95287310,95292029,95437464,95508819,95590445,95744715,95986389,96095896,96148118,96450450,96733310,96772197,96819806,97151067,97241021,97328009,97377675,97491627,97627704,97718420,98361869,98497349,98527629,98546126,98590709,98686646,98777549,98889040,99106959,99331070,99789494,99816216,99830124,...,12677715336340287670232136453206017485347212888926671929005468442496747662259583884686839670389323530889439201679185067616119333965045901416296934013563485812859143737442116239124259169743253230988762163923371289536398044057382870624130996096589217663698828784927457297644104527190984665048384844416131692495661836880601494003618438838296236747868471854261688319118509510899472497647257554930702727480628158115638263418521149258677729326054511291862373083879124045815798042576418222937798561111082981497598499627095386076678235140653742773266225108513143556376750517111594114552999660913867328858492805624538642013671463690641431207261149115013996798403993506798047700675233916777257100382427184933175917406166119918368763963252265169874290555494081377594032492220403023840122530980540204099744114759348628190547141558761700101635826110270741713525787972502140348614092033376406888192422669593576378471558149357780399638680273883483094742653702247793594758678323698730410497441646325641021575624743484957769003387870680898231292273973564083874222853149631092154976033104820746767415865245928157102917426957054724219884079858860052857018659290480940300842939115172437413741072334029107337147498072546383380578631140655769219137979477397166414917613325908299825031221970474171263037037275218821609438766856904323042094032254383246088305829482029854862191000497516194568228491934134563867803327759117303961797449630465686972481387416940844551506027579644315836207431345572313738682482968413822412809154457472832663614851455217017875164823243985045305588436655685573427605378793377567376620783892412562353541669103921190731612573621615243701105897361963327658065539053969534546325395759194933238368285948779971732633553939286142384013234944267866390722108731922044624670004534646230517587735041359836378810923334005534478758395483808279958904446328384455387009684686045791232707508936846058721189263121370620904382492694387157885104712543188446087769958040863519595687220350700012434459042715628600418755874904068780650100437948737238889756897736458286039311236426113215640862951052546639103754470815242416884232647035891721000519352393211600099766191100136994530046260819720372211461635575112390072485491529748587648357659511505263347296124183183518664907473389495489364133546257390352134632738682050026243758046258819206096876361928525837709782372021634324638893806630723631192984771297552153077817920566629608337237570470995132501622069124622890760708431217910395368971878377465275552895385942910253162572}
15740  7133939135992241979245550336670672767903757722219179410616644760: {47211,110131,157330,188796,204451,220234,314620,345994,377544,424737,880712,956419,990801,1143691,1179525,1237219,1258160,1415430,1509792,1517371,1698516,1850122,2099914,2168539,2224714,2446531,2785522,2816179,3034354,3092659,3324796,3407122,3552019,4089034,4274674,4828651,4892434,5371459,5570122,5570332,5641891,5821819,6123154,6270379,6449299,6552394,6627931,6689212,7041994,7073251,7469554,7605259,7958491,8222659,8310571,8383114,8397512,8565394,9098539,9146024,9359899,9447201,9595594,10289277,10380274,10400092,10656979,10681354,10914451,11342131,11642122,11941522,12107419,12464805,12539122,12698611,12837322,13194634,13295792,13432522,13620499,13729522,14085394,14263114,14338965,14618122,14815132,14863579,14957766,15294896,15479121,15856114,15856712,15927811,16277596,16642492,16678965,17206758,17495794,17790896,17838801,17940211,18099196,18136522,18194674,18369034,18427525,18495619,18653659,18659314,18811411,18824264,19047499,19065034,19416369,19483005,19527754,19931794,20014758,20063059,20392594,20681971,20781872,20835979,20883405,21177297,21219739,21720796,21905971,22081372,22113030,22209091,22254177,22275632,22586371,23022322,23114725,23335531,23379606,23484499,23532874,23587232,23995304,24146805,24155122,24318129,24372259,24812251,25060086,25077117,25562122,25756592,25828819,25900891,26345674,26474205,26535636,26688931,26902339,26903434,26994717,27014794,27272721,27455452,27609019,27671624,27679291,27737670,27819619,27847954,28099411,28239152,28522492,28567114,28677514,28793851,28976166,29138371,29228554,29233029,29393554,29586848,29593821,29822011,29870504,30052114,30503649,30544522,30648796,30655965,31002172,31130577,31362322,31367059,31769046,32391957,32447122,32467525,32663314,32699696,32784789,32809291,33044081,33149109,33285204,33325099,33449045,33545937,33604317,33708931,34090171,34169596,34383634,34544074,34657171,34801225,34828005,34917874,34969651,34981064,35280331,35290965,35365165,35527579,35569852,35896291,36108737,36193522,36268252,36458122,36565531,36725045,36746539,36787158,36933394,37106611,37149872,37249522,37302154,37404691,37565074,37643696,37722634,37888712,38037322,38066205,38229739,38246794,38404699,38579011,38961030,39353697,39383899,39396796,39463225,39558117,39742972,39781051,40006411,40138854,40375605,40398019,40603952,40620211,40791729,41115931,41124796,41225299,41334379,41558432,41605819,41761470,41793606,41982609,42220965,42347901,42349158,42382474,42433522,42438198,42515251,42624801,42831259,42846177,43067312,43092619,43188892,43269485,43501834,43558531,43822805,43967779,44069371,44070054,44472859,44522971,44524965,44545568,44714122,44822131,45035696,45118699,45293297,45679446,45680965,45800611,45837224,45992851,46231531,46326499,46495857,46664434,46753236,46912714,47122099,47123949,47205830,47352139,47355870,47493296,47625532,47784350,47951122,48120811,48450726,48737554,48752949,48781771,48998491,49170571,49595731,49994332,50028429,50055091,50113764,50178859,50444949,50465131,50512928,50629917,50665158,50808081,50927434,51005212,51027091,51185059,51380899,51566877,51574184,51583910,51613531,51650194,51913169,51923382,52082122,52302805,52407331,52464350,52518139,52587366,52701379,52751434,52804661,53133811,53169379,53322634,53416339,53429958,53521099,53625211,53749522,53763019,54136051,54269539,54335851,54458122,54646474,54817158,54855979,54951451,55111685,55150689,55233979,55350514,55542405,55584394,55631122,55852712,55870531,55884189,55929499,56017411,56352796,56562322,56563784,56614651,56646996,56665029,56697379,56827044,56968459,56995171,57025522,57232339,57272277,57341220,57533194,57614659,57678172,57811939,57884731,57932899,57980779,58008796,58020957,58039225,58146091,58222354,58253781,58262011,58456209,58466131,58498349,58598971,58679794,58729219,58772059,58877899,59244019,59245232,59399251,59475139,59586485,59586811,59605171,59657596,59767171,59837299,59986492,60202411,60341731,60416611,60448522,60504091,60546859,60569537,60644131,60718474,61110619,61122322,61163968,61226251,61390834,61431379,61456651,61505251,61513099,61524874,61608571,61622179,61635499,61667539,61726219,61747954,61782451,61805131,61813550,61833859,61841419,61848691,61883539,61900692,61901179,61903411,61915291,61930339,61936891,62095865,62605645,62680522,62724754,62763366,62834301,62848965,62957220,63014294,63017589,63078034,63323409,63386314,63620081,63634257,64000522,64037829,64235932,64262794,64560796,64661009,64704710,64885372,64915954,65046154,65125965,65755304,66134022,66458312,66640114,66650886,67038896,67154368,67280074,67436900,67854405,67874122,68127754,68675314,68809464,69034637,69078652,69346445,69399196,69467696,69590725,69647070,70177522,70678492,71003122,71044234,71401165,71503782,72336081,72378032,72391954,72837322,73559717,73691300,73888765,73974717,74153384,74161670,74176260,74254505,74284637,74290208,74400754,74488732,74515038,74639122,74765601,74797714,75126774,75232522,75418758,75435230,75548664,75561941,75586834,75826821,76408522,76465965,76635057,77223154,77377522,77410647,77628104,77645652,77723914,77954122,78151158,78253889,78569692,78717322,78783717,79058674,79121344,79285917,79662322,79706024,80074954,80326317,80326805,80453469,80530005,80634514,80662989,80746972,80924280,81088424,81190474,81338122,81395174,81425286,81563696,81890417,81984796,82109074,82163237,82619122,82783605,82945354,82957589,83038629,83162122,83198194,83215734,83422557,83507781,83508870,83569070,83576484,83737354,84083909,84753052,84769522,84910834,84981394,84992247,85048909,85059196,85122322,85123550,85424241,85648522,85681398,85745649,85855089,85857994,85898672,85933605,86136394,86319232,86379154,86527910,87068434,87331617,87339189,87921034,87963029,88022674,88180005,88302512,88407772,88429560,88666518,88994004,89011512,89031154,89076128,89097874,89105406,89120977,89361734,89529994,89616796,89622449,89669277,89850245,89943141,90017864,90020420,90189514,90222322,90270025,90386122,90466869,90522276,90679954,90885830,91039815,91171389,91224477,91259377,91553674,91662512,91759158,92051301,92215965,92372870,92435300,92447434,92510794,92605714,92826634,94012234,94058672,94106312,94197322,94228114,94324864,94429645,94657522,94779634,94867761,95156369,96242205,96314122,96392166,96636006,96820424,97080394,97109136,97197322,97517554,97934417,97951114,98363696,98620910,98750794,98920522,98997206,99066350,99340326,99367005,99414025,99483255,99605885,99899122,...,19016573004510431505348204679809026228020819333390007893508202663745121493389375827030259505583985296334158802518777601424179000947568852124445401020345228719288715606163174358686388754614879846483143245885056934304597066086074305936196494144883826495548243177391185946466156790786476997572577266624197538743492755320902241005427658257444355121802707781392532478677764266349208746470886332396054091220942237173457395127781723888016593989081766937793559625818686068723697063864627334406697841666624472246397749440643079115017352710980614159899337662769715334565125775667391171829499491370800993287739208436807963020507195535962146810891723672520995197605990260197071551012850875165885650573640777399763876109249179877553145944878397754811435833241122066391048738330604535760183796470810306149616172139022942285820712338142550152453739165406112570288681958753210522921138050064610332288634004390364567707337224036670599458020410825224642113980553371690392138017485548095615746162469488461532363437115227436653505081806021347346938410960346125811334279724446638232464049657231120151123797868892235654376140435582086329826119788290079285527988935721410451264408672758656120611608501043661005721247108819575070867946710983653828706969216095749622376419988862449737546832955711256894555555912828232414158150285356484563141048381574869132458744223044782293286500746274291852342737901201845801704991638675955942696174445698530458722081125411266827259041369466473754311147018358470608023724452620733619213731686209248995422277182825526812747234865977567958382654983528360141408068190066351064931175838618843530312503655881786097418860432422865551658846042944991487098308580954301819488093638792399857552428923169957598950330908929213576019852416401799586083163097883066937005006801969345776381602562039754568216385001008301718137593225712419938356669492576683080514527029068686849061263405269088081783894682055931356573739041580736827657068814782669131654937061295279393530830526050018651688564073442900628133812356103170975150656923105858334635346604687429058966854639169823461294426578819958655631706222863625326348970553837581500779028589817400149649286650205491795069391229580558317192453362668585108728237294622881472536489267257895020944186274775277997361210084243234046200319386085528201949108023075039365637069388228809145314542892788756564673558032451486958340709946085446789477156946328229616726880849944412505856355706492698752433103686934336141062646826865593053457817566197913329343078914365379743858}
15741  7165421059396329807008530198722931238117106089889208831663618481: {31478,62948,235995,251728,283194,330351,393275,471930,503392,518991,566316,770623,1100890,1321068,1572700,1887240,2013056,2123145,2264688,2547774,2775183,3149871,3337071,4155995,4178283,4551531,4987194,5110683,6133551,6412011,6962915,7338651,7347823,8002771,8108111,8355183,8355498,8361515,9184731,9828591,10033818,10170479,10496890,10562991,10931051,11204331,11432530,11633818,12423931,12574671,12596268,12809743,12848091,13000115,13189403,13383034,13640731,13719036,13874623,14119571,14285711,14393391,15067519,15312539,15567034,15570411,15600138,16022031,16071523,16471231,16619740,16940351,17363819,17463183,17533594,17912283,18151099,18184138,18518915,18632819,18808683,19118620,19159738,19255983,19491178,19791951,19820890,19943688,20148783,20346995,20594283,20638828,20803115,20884111,20995891,21025114,21128091,21394671,21448123,21705163,21927183,22050298,22069451,22132123,22222698,22238620,22436649,22537018,22623995,22922698,22942344,23084314,23480143,23530330,23784171,23785068,24033178,24212671,24416394,24427882,24709258,24916651,24963738,25537259,25551551,25757251,25810137,25888492,25977340,26136691,26243691,26685658,26686344,27148794,27150995,27197962,27204783,27292011,27553551,27601715,27844540,27988971,28190842,28236396,28597551,28612234,29291631,29484040,29592259,29672236,29897691,29994130,30022137,30566383,30588891,30608431,30619919,31172808,31553338,31992563,32138938,32195740,32204819,32424172,32480914,32490511,32506138,32581194,32938234,33122058,33152623,33169545,33413448,33436156,33757594,34000931,34319315,34533483,34564223,34589530,35069409,35111962,35298940,35299311,35306251,35380848,35528458,35653115,35949274,35992956,36232683,36363628,36983560,37338130,37454362,37590129,37619003,37683898,37835579,38310995,38343183,38634888,38752715,38840818,38961731,38977372,39073498,39406234,39416338,39458428,39518511,39718811,39803454,39825514,40107571,40355151,40522191,40671532,40874620,41154703,41183178,41507436,41556634,41606505,41771931,42017098,42221002,42358728,42711995,42783738,42850671,43016271,43189276,43404778,43452058,43464249,43589194,43713052,43726330,43742171,43842831,44090331,44198812,44380272,44462315,44727916,44746031,44805756,45078171,45127411,45335315,45496019,45636154,45735491,45749099,45816783,45973194,46437340,46503258,46954282,47043483,47054620,47360890,47515474,47653569,48186223,48230218,48670683,48871123,48871883,48994971,49049544,49095731,49245995,49493311,49678715,49833151,49927806,50754940,51254394,51405995,51575451,51816111,51839578,51948040,51999923,52376811,52471596,52529194,52715779,52744156,53057743,53354778,53354963,53445499,53518472,53745131,53834140,53986115,54290283,54388972,54402378,54687183,54697738,55180737,55366162,55400091,55639051,55681960,55724808,55874283,55953231,55976812,56013523,56294620,56347611,56463868,56465544,56583951,56584264,56833068,57055983,57128236,57244042,57296530,57370191,57535891,58118299,58151023,58441545,58659034,58716911,58760072,59095194,59176954,59192219,59366620,59455411,59531915,59614458,59708891,59731391,59802923,59945722,60208281,60784234,60788698,60905928,61350271,61375378,61687194,61994476,62183599,62337648,62492915,62642205,62690409,62831932,63141160,63253258,63330778,63523737,63552658,63573711,63650283,63657297,63756515,64467730,64600968,64783338,64884211,64972714,65003932,65071771,65252751,66023291,66105081,66704572,66818352,67016458,67071183,67259932,67410043,67427971,67506556,67553544,67557178,67575323,67616219,67744108,67924591,68210111,68297338,68519169,68755836,69126131,69231176,69497971,69691978,69742771,69815890,69996651,70059823,70116488,70129854,70369071,70440995,70603474,70704730,70808745,70952371,71033805,71239944,71300794,71368234,71438298,71676525,71926683,72097715,72510995,72532559,72676089,72831679,73089544,73106331,73287331,73534252,73645258,73771211,74056540,74493551,74512252,74571995,74983115,74991498,75161338,75170646,75181219,75529328,75553372,75624523,75769392,75997737,76304491,76363036,76391151,76454960,76507818,76550842,77264698,77361276,77375865,77429099,77475291,77671708,77885073,77941612,78123183,78253498,78406031,78696525,78765631,78881049,79123291,79127151,79557199,79983951,80144937,80204698,80294915,80336698,80624283,80700995,81106715,81125098,81451123,81488531,81687183,81969711,82194130,82225737,82298842,82301338,82343023,82534256,82750691,83015503,83025771,83072890,83376591,83446683,83621099,83684488,83775211,83779068,83798620,83942960,84023452,84250991,84296125,84427858,84431212,84529194,84717871,84843483,84845676,84970494,85240566,85383772,85538283,86011830,86068234,86185642,86227978,86299791,86348315,86517258,86748995,86834620,87013194,87254323,87333531,88019691,88178696,88348115,88359851,88867848,89290991,89334922,89486394,89826058,89979738,90054298,90472540,90672783,90708923,90725011,91077711,91389971,91683483,91745952,91794031,92086251,92114125,92204611,92269138,92287311,92621931,92691730,92720325,92742538,92847179,92851038,92862760,92964971,92996143,93110915,93236218,93727771,93856594,94020783,94087131,94136623,94145049,94158394,94435830,94521441,94617051,94822378,94892699,95001059,95079471,95338376,95639314,95687359,95931898,96000783,96353898,96394191,96448108,96490771,96793999,96841194,97035130,97053523,97057065,97253503,97328058,97373931,97569231,97731034,98212115,98456339,98559034,98629522,98632956,98738651,98901680,98973658,99201033,99353384,99632530,99687468,99698159,99957823,99960171,99976329,...,28524859506765647258022307019713539342031229000085011840262303995617682240084063740545389258375977944501238203778166402136268501421353278186668101530517843078933073409244761538029583131922319769724714868827585401456895599129111458904294741217325739743322364766086778919699235186179715496358865899936296308115239132981353361508141487386166532682704061672088798718016646399523813119706329498594081136831413355760186092691672585832024890983622650406690339438728029103085545595796941001610046762499936708369596624160964618672526029066470921239849006494154573001847688663501086757744249237056201489931608812655211944530760793303943220216337585508781492796408985390295607326519276312748828475860461166099645814163873769816329718917317596632217153749861683099586573107495906803640275694706215459224424258208534413428731068507213825228680608748109168855433022938129815784381707075096915498432951006585546851561005836055005899187030616237836963170970830057535588207026228322143423619243704232692298545155672841154980257622709032021020407616440519188717001419586669957348696074485846680226685696803338353481564210653373129494739179682435118928291983403582115676896613009137984180917412751565491508581870663229362606301920066475480743060453824143624433564629983293674606320249433566885341833333869242348621237225428034726844711572572362303698688116334567173439929751119411437778514106851802768702557487458013933914044261668547795688083121688116900240888562054199710631466720527537705912035586678931100428820597529313873493133415774238290219120852298966351937573982475292540212112102285099526597396763757928265295468755483822679146128290648634298327488269064417487230647462871431452729232140458188599786328643384754936398425496363393820364029778624602699379124744646824600405507510202954018664572403843059631852324577501512452577206389838568629907535004238865024620771790543603030273591895107903632122675842023083897034860608562371105241485603222174003697482405591942919090296245789075027977532846110164350942200718534154756462725985384658787501953019907031143588450281958754735191941639868229937983447559334295437989523455830756372251168542884726100224473929975308237692604086844370837475788680044002877663092355941934322208804733900886842531416279412162916996041815126364851069300479079128292302923662034612559048455604082343213717971814339183134847010337048677230437511064919128170184215735419492344425090321274916618758784533559739048128649655530401504211593970240298389580186726349296869994014618371548069615787}
15742  7197040820424501680449413622780480633880473149772949463350115610: {47217,78685,94422,173041,220262,314660,377592,408902,424791,440468,629240,691988,707895,755088,849474,925297,1112641,1579741,1651335,1761424,1766077,1912838,1965875,1981602,2287382,2359050,2474438,2516320,2693437,2830860,2970241,3019584,3034742,3397032,3700244,3821661,4162237,4199828,4337078,4344541,4449428,4893062,5522497,5571044,5632358,5882497,6068708,6185318,6649592,6777457,6814244,7104038,7310977,7480791,7753597,8178068,8549348,8633437,8983357,9657302,9679741,9784868,9939697,10742918,11140244,11140664,11283782,11571037,11643638,12246308,12533247,12540758,12840577,12898598,13104788,13255862,13378424,13511041,13761277,14083988,14146502,14342641,14508097,14939108,15002737,15050727,15210518,15745335,15916982,16146817,16227997,16445318,16621142,16766228,16794241,16795024,17130788,17148795,17196541,17356957,17450727,17756737,18197078,18292048,18719798,18894402,19023937,19191188,19728637,20074551,20578554,20582017,20760548,20774675,20800184,21273757,21313958,21350257,21362708,21828902,22413697,22684262,23284244,23350551,23400207,23883044,23898275,23982397,24214838,24277597,24929610,25078244,25229041,25397222,25674644,25798535,26300391,26311741,26389268,26454877,26591584,26865044,27236977,27240998,27276207,27459044,27798275,28170788,28219777,28526228,28677930,28739607,28982077,29236244,29236767,29630264,29727158,29731335,29915532,30278257,30589792,30615037,30958242,31537671,31712228,31713424,31855622,32141041,32360615,32471675,32555192,33075447,33284984,33334047,33357930,33805527,33947377,34074241,34384047,34390141,34413516,34515997,34626471,34805675,34991588,35140957,35203057,35295495,35581792,35635741,35677602,35880422,36049767,36125917,36198392,36247741,36273044,36389348,36429937,36624591,36641823,36671857,36738068,36855050,36991238,37063887,37090295,37307318,37318628,37445607,37622822,37648528,38094998,38130068,38216257,38832738,38966010,39027697,39055508,39085117,39863588,40028487,40029516,40126118,40162417,40244675,40530215,40608241,40723191,40785188,40796943,41322877,41363942,41563744,41671958,41766810,41795195,42078877,42286263,42354594,42439478,42504541,42768241,42918351,43186417,43441592,43548541,43651357,43811942,43907137,44123675,44162744,44226060,44312641,44418182,44508354,44551264,44563741,44991195,45060541,45172742,45404017,45454535,45647197,46044644,46229450,46271041,46413277,46671062,46759212,46828663,46968998,47065748,47174464,47330007,47990608,48208407,48293610,48310244,48636258,48721371,48721715,48744518,48759207,48862717,48871791,48906097,48992641,49323035,49407351,49511231,49548157,49624502,49683087,49716637,49842241,50050141,50120172,50154234,50338177,50460541,50636391,50839415,51093275,51124244,51141697,51415063,51513184,51571357,51657638,51725437,51801782,51884295,52478557,52667943,52691348,52948410,53060317,53071272,53292687,53377862,53379457,53727217,53761597,53804678,53806868,53923911,53986595,53989434,54000241,54029588,54545442,54565117,54641315,54910904,55218038,55234177,55248515,55343248,55358582,55388797,55475340,55602241,55639238,55695908,55841857,55909895,56007195,56047741,56181543,56192641,56198822,56250097,56420737,56477041,56478304,56525847,56671837,56754241,56970817,57024241,57044984,57134228,57355028,57587702,57667741,57717277,57952332,58046675,58079617,58220017,58261227,58276742,58457108,58466058,58610247,58647517,58787108,58818275,58862077,59109351,59124507,59170417,59173696,59187642,59230141,59366977,59386237,59519041,59556337,59574877,59644022,59705181,59738271,59741008,59930557,60104228,60130141,60257437,60288541,60577279,60583741,60760177,60786241,61007298,61031041,61089044,61120897,61195741,61267057,61297592,61311930,61325377,61351927,61540477,61774767,61776241,61814257,61831537,61903357,61913437,61924417,61946557,61950337,61951741,62004344,62261154,62334951,62724644,62734118,63025647,63331503,63443675,63538092,63953351,64175607,64783914,64894244,64935050,65107167,65178087,65326628,65383791,65399392,65569578,65589495,65618582,65930195,66088162,66298218,66570408,66650198,66898090,67091874,67208634,67292675,67417862,67986215,68180342,68339192,68454231,68767268,68959791,69088148,69314342,69602450,69656010,69754887,69835748,69939302,69962128,69971015,70212791,70368275,70431423,70560662,70579835,70581930,70730330,71041335,71055158,71139704,71273211,71410295,71792582,72217474,72345327,72387044,72536504,72916244,73131062,73223927,73450090,73493078,73574316,73866788,74208275,74213222,74299744,74499044,74604308,74809382,74891709,75130148,75287392,75445268,75777424,76074644,76132410,76459478,76493588,76809398,76881591,77156359,77158022,77493095,77759367,77783519,77922060,78539915,78707394,78767798,78793592,78793791,78926450,79116234,79485944,79562102,80012822,80032167,80277708,80751210,80796038,81207904,81240422,81254915,81583458,81603567,82046607,82231862,82249592,82450598,82668758,83049243,83116864,83211638,83380715,83421079,83522940,83587212,83965218,84074915,84383195,84441930,84680135,84695802,84698316,84764948,84867044,84876396,85030502,85249602,85662518,85692354,85866063,85944795,86134624,86185238,86377784,86538970,86934211,87003668,87117062,87645610,87647903,87935558,87988551,88138742,88140108,88642791,88765431,88945718,89045942,89049930,89091136,89421687,89428244,89644262,89918583,90071392,90237398,90586594,90914351,91176351,91183047,91358892,91361930,91601222,91674448,91917815,91985702,92063067,92463062,92530791,92570675,92652998,92991714,93140315,93328868,93506472,93825428,94244198,94247898,94411660,94441715,94704278,94711740,94879887,94986592,94996167,95054663,95251064,95328987,95453795,95568700,95902244,96241622,96701595,96901452,97085023,97089635,97175007,97427015,97459071,97475108,97505898,97563542,97996982,98040787,98341142,99191462,99961631,99988664,...,38033146009020863010696409359618052456041638666780015787016405327490242986778751654060519011167970592668317605037555202848358001895137704248890802040690457438577431212326348717372777509229759692966286491770113868609194132172148611872392988289767652991096486354782371892932313581572953995145154533248395077486985510641804482010855316514888710243605415562785064957355528532698417492941772664792108182441884474346914790255563447776033187978163533875587119251637372137447394127729254668813395683333248944492795498881286158230034705421961228319798675325539430669130251551334782343658998982741601986575478416873615926041014391071924293621783447345041990395211980520394143102025701750331771301147281554799527752218498359755106291889756795509622871666482244132782097476661209071520367592941620612299232344278045884571641424676285100304907478330812225140577363917506421045842276100129220664577268008780729135414674448073341198916040821650449284227961106743380784276034971096191231492324938976923064726874230454873307010163612042694693876821920692251622668559448893276464928099314462240302247595737784471308752280871164172659652239576580158571055977871442820902528817345517312241223217002087322011442494217639150141735893421967307657413938432191499244752839977724899475093665911422513789111111825656464828316300570712969126282096763149738264917488446089564586573001492548583704685475802403691603409983277351911885392348891397060917444162250822533654518082738932947508622294036716941216047448905241467238427463372418497990844554365651053625494469731955135916765309967056720282816136380132702129862351677237687060625007311763572194837720864845731103317692085889982974196617161908603638976187277584799715104857846339915197900661817858427152039704832803599172166326195766133874010013603938691552763205124079509136432770002016603436275186451424839876713338985153366161029054058137373698122526810538176163567789364111862713147478083161473655314137629565338263309874122590558787061661052100037303377128146885801256267624712206341950301313846211716669270693209374858117933709278339646922588853157639917311263412445727250652697941107675163001558057179634800299298573300410983590138782459161116634384906725337170217456474589245762945072978534515790041888372549550555994722420168486468092400638772171056403898216046150078731274138776457618290629085785577513129347116064902973916681419892170893578954313892656459233453761699888825011712711412985397504866207373868672282125293653731186106915635132395826658686157828730759487716}
15743  7228799017826346083086674459990428015663723700306055790160958857: {62956,125896,141633,330393,393325,471990,503456,550585,566388,613353,660702,786550,864985,943860,1006784,1037982,1132632,1274211,1541246,2201780,2642136,2869257,2972403,3145400,3431073,3538575,3711657,3774480,4026112,4246290,4529376,4552113,4625305,5095548,5249785,5550366,5561785,5818393,6299742,6505617,6674142,6963805,7339593,7585885,8311990,8356566,8448537,8517805,9103062,9140857,9277977,9582313,9748081,9974388,10221366,10222585,10515241,10656057,10686685,11464273,11706121,12019657,12217057,12231085,12231241,12267102,12527521,12824022,13346233,13925305,13925830,14099017,14287537,14485953,14677302,14695646,14785297,15307885,15314497,15714001,15780697,16005542,16114377,16216222,16380985,16710366,16710996,16723030,16883113,16925673,17465457,17604985,17707657,18096637,18200161,18369462,18673885,18811137,19098073,19347897,19414417,19541737,19657182,19883793,19917841,20067636,20340958,20520877,20957785,20993780,21013921,21125982,21219753,21251977,21354121,21413485,21862102,22072273,22408662,22481041,22815777,22865060,23267636,23875473,23988985,24070957,24665857,24667977,24847862,24931713,25149342,25192536,25540537,25554817,25619486,25696182,25772221,25880041,25926481,25950685,26000230,26271313,26326141,26378806,26703385,26766068,27281462,27295617,27438072,27749246,27915217,28079697,28239142,28341603,28410961,28419697,28485793,28571422,28786782,29105305,29124361,29608777,29853805,30135038,30180397,30402121,30625078,30867831,30962041,31134068,31140822,31200276,31347805,31673593,31970937,32044062,32093305,32143046,32208937,32651641,32743353,32942462,32986585,33111997,33239480,33581305,33880702,34005277,34026393,34157401,34323805,34425841,34568641,34727638,34926366,35067188,35213485,35657785,35659513,35824566,36187177,36282937,36302198,36322257,36368276,36545305,37037830,37265638,37394415,37617366,37840417,38011393,38095833,38237240,38319476,38511966,38642401,38966713,38982356,39118141,39583902,39640285,39641780,39681217,39887376,40213417,40297566,40562593,40693990,40731097,40861497,41188566,41277656,41553661,41606230,41768222,41991782,42050228,42256182,42789342,42896246,43016895,43410326,43739485,43854366,44100596,44138902,44172001,44264246,44445396,44477240,44590737,44873298,45074036,45247990,45341305,45486685,45845396,45884688,45922585,46089241,46168628,46437363,46648285,46777597,46940413,46960286,47060660,47568342,47570136,47662585,47715337,47759041,47783433,48047041,48066356,48425342,48428521,48819385,48832788,48855764,49102033,49215721,49418516,49759897,49812457,49829485,49833302,49914361,49927476,50036895,50528557,50981485,51074518,51103102,51116137,51124477,51514502,51620274,51695293,51776984,51954680,52273382,52487382,52527841,52881673,53151457,53371316,53372688,53516403,53635393,53820633,54067117,54071137,54253801,54297588,54301990,54395924,54409566,54584022,55107102,55203430,55282575,55486857,55689080,55960977,55977942,56075041,56381684,56434233,56472792,57142497,57195102,57224468,57555805,58117561,58249107,58449015,58583262,58774297,58832185,58968080,59055337,59184518,59199817,59344472,59795382,59796793,59988260,60044274,60189177,60329821,60387805,60707977,61132766,61177782,61216862,61239838,61367773,62045913,62247241,62345616,62507937,62650215,63017977,63106676,63274441,63469441,63516973,63531891,63659217,63905305,63982297,63985126,64277876,64391480,64409638,64603741,64665337,64848344,64961828,64981022,65012276,65162388,65284081,65717913,65864185,65876468,66244116,66305246,66339090,66627273,66762531,66826896,66838561,66872312,67258585,67515188,67536985,67625041,67759113,68001862,68638630,68655193,68924353,68944393,69066966,69128446,69179060,69344175,69392713,69550201,69619885,70006593,70138818,70223924,70453497,70565053,70577617,70597880,70598622,70612502,70761696,71056916,71306230,71417785,71693785,71898548,71968393,71985912,72440415,72465366,72727256,72869137,72954387,73071385,73116777,73483885,73509577,73589917,73790737,73967120,74296273,74436753,74503297,74676260,74908724,75130285,75180258,75231351,75238006,75367796,75525361,75580561,75671158,76361305,76398097,76621990,76686366,77258617,77269776,77439241,77486457,77505430,77681636,77702673,77765017,77923462,77954744,77969197,78146996,78405805,78644641,78812468,78832676,78916856,78919261,79037022,79422615,79437622,79484113,79606908,79651028,79910077,80066793,80215142,80707017,80710302,80888953,80984151,81044382,81117805,81343064,81658285,81749240,81818163,82012573,82309406,82316641,82366356,82450177,82761313,82827057,83014872,83037873,83113268,83213010,83344681,83458857,83543862,83613937,84034196,84298233,84442004,84717456,85423990,85567476,85701342,85720297,85959085,86032542,86360185,86378552,86381553,86809556,86904116,86928498,87178388,87294685,87415113,87426104,87452660,87484342,87490081,87685662,87699087,87700177,88037833,88180662,88371193,88397624,88760544,88781463,88924630,89259121,89455832,89466033,89492062,89611512,90011437,90156342,90254822,90483805,90670630,90992038,91075417,91145305,91231741,91272308,91470982,91498198,91507117,91510947,91633566,91946388,91967895,92253373,92333485,92661673,92859097,92874680,92931361,93006516,93123805,93255385,93391731,93908564,93912685,94086966,94101177,94109240,94306585,94685737,94721780,95030948,95093305,95226241,95307138,95595337,95616985,95824801,95994541,96276241,96372446,96460436,97175871,97341366,97402575,97742246,97743766,97989942,98099088,98191462,98354367,98387353,98427873,98468977,98491990,98617393,98751697,98986622,99132243,99357430,99447327,99569353,99635257,99666302,99782257,99855612,99975297,...,57049719013531294516044614039427078684062458000170023680524607991235364480168127481090778516751955889002476407556332804272537002842706556373336203061035686157866146818489523076059166263844639539449429737655170802913791198258222917808589482434651479486644729532173557839398470372359430992717731799872592616230478265962706723016282974772333065365408123344177597436033292799047626239412658997188162273662826711520372185383345171664049781967245300813380678877456058206171091191593882003220093524999873416739193248321929237345052058132941842479698012988309146003695377327002173515488498474112402979863217625310423889061521586607886440432675171017562985592817970780591214653038552625497656951720922332199291628327747539632659437834635193264434307499723366199173146214991813607280551389412430918448848516417068826857462137014427650457361217496218337710866045876259631568763414150193830996865902013171093703122011672110011798374061232475673926341941660115071176414052456644286847238487408465384597090311345682309960515245418064042040815232881038377434002839173339914697392148971693360453371393606676706963128421306746258989478359364870237856583966807164231353793226018275968361834825503130983017163741326458725212603840132950961486120907648287248867129259966587349212640498867133770683666667738484697242474450856069453689423145144724607397376232669134346879859502238822875557028213703605537405114974916027867828088523337095591376166243376233800481777124108399421262933441055075411824071173357862200857641195058627746986266831548476580438241704597932703875147964950585080424224204570199053194793527515856530590937510967645358292256581297268596654976538128834974461294925742862905458464280916377199572657286769509872796850992726787640728059557249205398758249489293649200811015020405908037329144807686119263704649155003024905154412779677137259815070008477730049241543581087206060547183790215807264245351684046167794069721217124742210482971206444348007394964811183885838180592491578150055955065692220328701884401437068309512925451970769317575003906039814062287176900563917509470383883279736459875966895118668590875979046911661512744502337085769452200448947859950616475385208173688741674951577360088005755326184711883868644417609467801773685062832558824325833992083630252729702138600958158256584605847324069225118096911208164686427435943628678366269694020674097354460875022129838256340368431470838984688850180642549833237517569067119478096257299311060803008423187940480596779160373452698593739988029236743096139231574}
15744  7260696252931869410707029352491585250818558755441716916856847964: {78695,94434,110159,157370,173063,188844,204503,267359,346082,440524,629320,707985,755184,817804,849582,880936,956663,991053,1143983,1179825,1258480,1299863,1383976,1415790,1510176,1517759,1556973,1579943,1611023,1698948,1850594,2138159,2225282,2311869,2539703,2752225,3001343,3159482,3302670,3522848,3532154,3614063,3825676,3888743,3931750,3963204,4193183,4284359,4375463,4527143,4574764,4718100,4890359,4948876,5032640,5101703,5386874,5433023,5643359,5661720,5883263,5940482,6039168,6069484,6369435,6599903,6794064,6986159,7134359,7400488,7643322,7666223,8324474,8325549,8399656,8459159,8663783,8674156,8689082,8898856,9188159,9275303,9449613,9709943,9786124,9854423,9969863,10011213,10286663,10401623,10917359,11044994,11142088,11264716,11402063,11764994,11771159,11912759,12137416,12251783,12370636,12467985,12534849,12702023,12758159,13038359,13299184,13554914,13628488,13654593,14012759,14208076,14427359,14620223,14621954,14702759,14922503,14961582,15032183,15169103,15332049,15507194,15578663,15932159,15986423,16338359,16356136,16419383,16796543,16823423,17098696,17198903,17266874,17279159,17359343,17466143,17966714,18400653,18553463,18737759,18869159,19052783,19236033,19314604,19359482,19569736,19879394,20378783,20739143,20888745,21276743,21485836,21658583,22015953,22043469,22215359,22265783,22280488,22281328,22567564,22642943,23093159,23142074,23287276,23342159,23416703,23788343,24008313,24281063,24324333,24452759,24492616,24819359,25065549,25066494,25081516,25084545,25232663,25377983,25474703,25681154,25797196,25836263,25908359,25956383,26209576,26242225,26458703,26511724,26756848,27022082,27335159,27405743,27522554,27554193,28107623,28167976,28223903,28293004,28581325,28685282,28779263,29009303,29016194,29084545,29261423,29485773,29876159,29878216,30005474,30034583,30101454,30421036,30511437,30552359,30709103,30776159,30843143,31287863,31442759,31490670,31688973,31773359,31833964,32211359,32293634,32455994,32537759,32793153,32862359,32890636,33142223,33242284,33457585,33532456,33588482,33590048,33612993,33719159,34100543,34261576,34297590,34353359,34393082,34713914,34901454,35291159,35332463,35513474,35641223,36009359,36117949,36151823,36273623,36394156,36576863,36584096,36617159,36757943,37271793,37277423,37439596,37724013,37771823,37788804,37870103,38047874,38241743,38382376,38429229,38455583,38544273,38629823,38917585,39000345,39457274,39568209,39831359,40056623,40149102,40168823,40299359,40633223,40670159,40799183,40922193,41129159,41157108,41164034,41274983,41347703,41456543,41521096,41549350,41600368,41623869,41709383,42358713,42529103,42547514,42564359,42627916,42700514,42725416,42775223,42857133,43002359,43141463,43180173,43210823,43262759,43555703,43572863,43657804,43833985,43982303,44033159,44083943,44319983,44336783,44571143,44827394,44837063,45202557,45304861,45368524,45411623,45460345,45557783,45767759,45937617,46008359,46040303,46278863,46326359,46373783,46436903,46531343,46568488,46701102,46711233,46719359,46800414,46983743,47076503,47184359,47766088,47796550,47823263,47899345,47943359,47964794,48066093,48167159,48214569,48429676,48555194,48609359,48727945,48784223,48871223,48929063,49015583,49187759,49413693,49552225,49851023,49859220,50072783,50156488,50306159,50458082,50483063,50550743,50794444,50821053,50912759,51045359,51150863,51349288,51593543,51597070,51632159,51734783,51926413,52091457,52227743,52389549,52451159,52562785,52600782,52623482,52778536,52902263,52909754,52998359,53183168,53564183,53730088,53736849,53783063,53840183,54156359,54178703,54212159,54356303,54453297,54473954,54481996,54542759,54552414,54918088,54993503,55125745,55255103,55556745,55596550,55793159,55892159,55898457,55921703,56009903,56058623,56068343,56203583,56232359,56341576,56342545,56346743,56426049,56439554,56441183,56636903,56719703,56742301,56991023,57035543,57044423,57052456,57176663,57306745,57355860,57410159,57479214,57710785,57728903,57761783,57767949,57851543,57908159,57924263,57964154,58185359,58285823,58472488,58473534,58505063,58513273,58637759,58710359,58825825,58831943,58874303,58902383,58937303,58978943,59162759,59209463,59260528,59327759,59375853,59405183,59424359,59454316,59462670,59531663,59568983,59661023,59703359,59721383,59831064,59862983,59949143,60082945,60254903,60275783,60368159,60446349,60482423,60556514,60597143,60601823,60671063,60680159,60778103,60804143,60825623,60938159,60990263,61037159,61040985,61069705,61138463,61178063,61179584,61192223,61202759,61230074,61230503,61377023,61404383,61526159,61572743,61621463,61637759,61664783,61773145,61775663,61782849,61791143,61796159,61815503,61835159,61846583,61878983,61881359,61884863,61905383,61915943,61916484,61935623,61947359,61962143,61965359,61968359,62409345,62652333,62987673,63075342,63384273,63424456,63426848,63636349,63711244,64184013,64282082,64344369,64721230,64943350,65110384,65115489,65781549,66150894,66208353,66396369,66569968,66668094,66714145,66715860,67309947,67611054,67871985,67894754,67994905,68148482,68210401,68768094,68780282,68827032,69031994,69052249,69252942,69611350,69983176,70281914,70406114,70440429,70477105,70590990,71163584,71175181,71271482,71352513,71355204,71530585,71760844,72099534,72251834,72396784,72495482,72546088,72638013,72778696,72859874,73249182,73283646,73343714,73476136,73710100,73982476,74127774,74180590,74614636,74637256,74749953,74891214,74985325,75245644,75297056,75581233,76189996,76260136,76432514,76497841,76611777,76654653,77271753,77347921,77430411,77665476,77932020,78055394,78111016,78170234,78273853,78410073,78731073,78883345,79727176,80056974,80059032,80252236,80324834,80347345,80489350,81060430,81202285,81216482,81265345,81446382,81452985,81570376,81577837,81593886,81614349,81876033,82345585,82645754,82660653,82727884,82805145,82978753,83127488,83343916,83533620,83590390,83966913,84157754,84393985,84572526,84709188,84878956,85009082,85536482,85792653,85836702,86372834,86473825,86883184,87097082,87302714,87623884,87779905,87814274,87874893,88247350,88325488,88452120,88625282,88776777,88821145,88836364,89016708,89102528,89127482,89693073,89873185,89982390,90066411,90121082,90345484,90808034,90909070,91294394,91699149,91766673,91825293,91859757,91925977,92089288,92302273,92458900,92542082,92826554,93342124,93345325,93518424,93635905,93657326,93937996,94131496,94209745,94348928,94660014,95180701,95977689,95981216,96416814,96587220,96614457,96620488,97102045,97272516,97442742,97443430,97471533,97489036,97518414,97683745,97725434,97743582,97812194,97959421,97985282,98515585,98540845,98646070,98811769,98814702,99022462,99096314,99249004,99366174,99433274,99457869,99508635,99563785,99684482,99974413,...,85574578520296941774066921059140618026093687000255035520786911986853046720252191221636167775127933833503714611334499206408805504264059834560004304591553529236799220227734284614088749395766959309174144606482756204370686797387334376712884223651977219229967094298260336759097705558539146489076597699808888924345717398944060084524424462158499598048112185016266396154049939198571439359118988495782243410494240067280558278075017757496074672950867951220071018316184087309256636787390823004830140287499810125108789872482893856017578087199412763719547019482463719005543065990503260273232747711168604469794826437965635833592282379911829660649012756526344478389226956170886821979557828938246485427581383498298937442491621309448989156751952789896651461249585049298759719322487720410920827084118646377673272774625603240286193205521641475686041826244327506566299068814389447353145121225290746495298853019756640554683017508165017697561091848713510889512912490172606764621078684966430270857731112698076895635467018523464940772868127096063061222849321557566151004258760009872046088223457540040680057090410015060444692631960119388484217539047305356784875950210746347030689839027413952542752238254696474525745611989688087818905760199426442229181361472430873300693889949881023818960748300700656025500001607727045863711676284104180534134717717086911096064349003701520319789253358234313335542320555408306107672462374041801742132785005643387064249365064350700722665686162599131894400161582613117736106760036793301286461792587941620479400247322714870657362556896899055812721947425877620636336306855298579792190291273784795886406266451468037438384871945902894982464807193252461691942388614294358187696421374565799358985930154264809195276489090181461092089335873808098137374233940473801216522530608862055993717211529178895556973732504537357731619169515705889722605012716595073862315371630809090820775685323710896368027526069251691104581825687113315724456809666522011092447216775828757270888737367225083932598538330493052826602155602464269388177956153976362505859059721093430765350845876264205575824919604689813950342678002886313968570367492269116753505628654178300673421789925924713077812260533112512427366040132008632989277067825802966626414201702660527594248838236488750988125445379094553207901437237384876908770986103837677145366812247029641153915443017549404541031011146031691312533194757384510552647206258477033275270963824749856276353600679217144385948966591204512634781910720895168740560179047890609982043855114644208847361}
15745  7292733129662529104465678677818722035016964218082063076124466989: {125912,141651,236055,251792,283266,519123,550655,660786,770819,786650,943980,1006912,1022255,1101170,1132776,1210979,1226706,1274373,1321404,1573100,1729970,1887720,2013568,2075964,2123685,2265264,2548422,2775891,3082492,3337923,4403560,4739223,4782095,4954005,5284272,5298231,5718455,5738514,5897625,5944806,6186095,6290800,6475427,6862146,7077150,7349699,7423314,7548960,7586855,7786499,8052224,8080311,8492580,8910723,9058752,9104226,9250610,9749327,10191096,10499570,10620239,10802831,10842695,11100732,11123570,11464983,11546579,11636786,11924927,12232655,12427103,12486711,12575783,12599484,12813011,13011234,13033623,13348284,13927610,14001347,14080895,14311619,14455103,14679186,14961359,15071363,15171770,15463295,15506531,16246679,16567491,16623980,16713132,16823567,16885271,16897074,17035610,17123519,17562707,17647491,17760095,17837879,18098951,18206124,18281714,18555954,19164626,19495427,19496162,19948776,20332371,20442732,20445170,20889443,20927231,21016607,21030482,21312114,21373370,21431039,21453599,21802979,21932931,21972383,22442373,22826819,22928546,22933379,22944311,23260791,23412242,23486147,23766839,24039314,24143255,24434114,24462170,24462482,24534204,24646979,24669011,25055042,25648044,25731023,25883363,25900311,26143439,26274671,26568503,26692466,26857295,26950071,27234479,27610343,27850610,27851660,28198034,28209455,28423331,28575074,28804247,28942007,28971906,29039223,29109095,29340899,29354604,29391292,29570594,29819091,29978879,30184271,30406007,30585503,30615770,30628994,31351895,31428002,31561394,31753427,32011084,32228754,32246495,32432444,32498819,32761970,32990711,32993543,33116231,33139655,33420732,33421992,33446060,33584579,33682559,33766226,33851346,34161767,34430243,34713111,34930914,34992191,35209970,35315279,35366255,35395583,35415314,35664071,36193274,36330959,36400322,36591503,36738924,37001411,37347770,37384739,37599741,37622274,38026295,38048483,38196146,38521731,38588303,38695794,38774039,38828834,39083474,39123143,39314364,39686291,39767586,39792455,39835682,40135272,40533123,40681916,40747427,41026343,41041754,41071943,41113295,41283831,41552855,41795327,41915570,41987560,42027842,42251964,42439506,42503954,42708242,42826970,43027923,43524291,43724204,43886927,43936247,44144546,44817324,44930627,44962082,45008211,45152181,45492695,45631554,45683567,45730120,46181219,46442327,46535272,46799495,47013827,47236005,47750946,47977970,48053327,48098963,48136751,48141914,48440451,48683991,49059431,49298879,49331714,49333727,49335954,49368707,49695724,49818851,49863426,49920899,50298684,50382723,50385072,51081074,51109634,51163427,51238972,51392364,51433367,51446385,51544442,51589623,51760082,51768419,51852962,51901370,52000460,52070871,52096979,52352181,52542626,52652282,52757612,53270211,53284895,53406770,53532136,54469103,54562924,54572255,54591234,54650303,54876144,55496399,55498492,55744211,55830434,56159394,56442503,56478284,56683206,56710655,56821922,56839394,56971586,57071811,57142844,57573564,57993347,58210610,58248722,58323359,58330691,58707587,58807151,59185911,59217554,59707610,60223653,60270076,60360794,60429911,60537095,60804242,61235279,61250156,61735662,61741907,61746051,61764359,61924082,62069039,62268136,62281644,62324025,62400552,62695610,63026183,63282563,63347186,63477827,63493055,63681359,63821271,63941874,64050771,64088124,64186610,64286092,64291619,64417874,64697183,65303282,65307599,65486706,65883023,65884924,65973170,66223994,66270503,66478960,66727619,67162610,67241091,67427447,67755143,67761404,68010554,68052786,68102495,68314802,68347139,68587511,68647610,68851682,69137282,69455276,69761279,69792671,69852732,70051653,70134376,70200621,70426970,70840127,70914503,71124959,71315570,71319026,71374079,71649132,71694825,71745791,71947191,72374354,72565874,72604396,72644514,72736552,72744227,72758759,72832791,73090610,73215119,74075660,74242499,74317895,74475791,74531276,74788830,75234732,75274883,75680834,75687123,76022786,76191666,76422671,76474480,76638952,76797479,77023932,77284802,77395605,77775203,77933426,77964712,78236282,78579203,78901173,78935223,78987863,79167804,79280570,79283560,79362434,79364631,79639055,79774752,79920503,80071367,80426834,80578127,80595132,80859983,81125186,81387980,81462194,81601631,81710931,81722994,81828621,82365059,82377132,82555312,83037011,83107322,83212460,83346383,83394825,83409911,83536444,83983564,84100456,84512364,84542927,84659331,85578684,85776767,85792492,86033790,86118071,86218821,86820652,86946231,87478970,87708732,87710301,88049351,88175039,88201192,88277804,88344002,88528492,88890792,88954480,89181474,89194005,89467427,89701055,89746596,90022991,90148072,90335759,90413543,90495980,90682610,90834771,90973370,91380179,91519103,91661111,91690792,91769376,91845111,91845170,91904111,92137625,92178482,92209859,92337256,92478095,92874726,93268295,93296570,93555194,93880826,93920572,94057055,94121320,94162019,94551779,94613013,94697891,95136684,95140272,95237495,95325170,95430674,95518082,95566866,95837279,96006863,96027839,96094082,96132712,96306083,96423123,96850684,96857042,97081845,97283303,97415025,97467839,97638770,97665576,97711528,97895423,98204066,98431442,98816471,98837032,98893607,99226341,99519794,99624914,99658970,99666604,99828722,99854952,99984899,...,114099438027062589032089228078854157368124916000340047361049215982470728960336254962181557033503911778004952815112665608545074005685413112746672406122071372315732293636979046152118332527689279078898859475310341605827582396516445835617178964869302958973289459064347115678796940744718861985435463599745185232460956531925413446032565949544666130730816246688355194872066585598095252478825317994376324547325653423040744370766690343328099563934490601626761357754912116412342182383187764006440187049999746833478386496643858474690104116265883684959396025976618292007390754654004347030976996948224805959726435250620847778123043173215772880865350342035125971185635941561182429306077105250995313903441844664398583256655495079265318875669270386528868614999446732398346292429983627214561102778824861836897697032834137653714924274028855300914722434992436675421732091752519263137526828300387661993731804026342187406244023344220023596748122464951347852683883320230142352828104913288573694476974816930769194180622691364619921030490836128084081630465762076754868005678346679829394784297943386720906742787213353413926256842613492517978956718729740475713167933614328462707586452036551936723669651006261966034327482652917450425207680265901922972241815296574497734258519933174698425280997734267541367333335476969394484948901712138907378846290289449214794752465338268693759719004477645751114056427407211074810229949832055735656177046674191182752332486752467600963554248216798842525866882110150823648142346715724401715282390117255493972533663096953160876483409195865407750295929901170160848448409140398106389587055031713061181875021935290716584513162594537193309953076257669948922589851485725810916928561832754399145314573539019745593701985453575281456119114498410797516498978587298401622030040811816074658289615372238527409298310006049810308825559354274519630140016955460098483087162174412121094367580431614528490703368092335588139442434249484420965942412888696014789929622367771676361184983156300111910131384440657403768802874136619025850903941538635150007812079628124574353801127835018940767766559472919751933790237337181751958093823323025489004674171538904400897895719901232950770416347377483349903154720176011510652369423767737288835218935603547370125665117648651667984167260505459404277201916316513169211694648138450236193822416329372854871887257356732539388041348194708921750044259676512680736862941677969377700361285099666475035138134238956192514598622121606016846375880961193558320746905397187479976058473486192278463148}
15746  7324910254542313586422074496558370287006547879421335691556597652: {110173,157390,188868,204529,220318,298813,314740,346126,377688,409006,424899,534718,692164,881048,991179,1050493,1179975,1237693,1258640,1415970,1510368,1517953,1611229,1635608,1651755,1699164,1761872,1840059,1913326,1966375,1982106,1983613,2169373,2287966,2359650,2516960,2540029,2594955,2599726,2767952,2831580,3020352,3035518,3113946,3159886,3222046,3397896,3701188,3822633,3853115,4276318,4450564,4623738,4739773,5079406,5504450,5734129,6002686,6093553,6318964,6605340,6630529,6719773,6987073,7045696,7064308,7228126,7431133,7651352,7777486,7863500,7926408,8313853,8386366,8568718,8607771,8750926,8917209,9054286,9149528,9189373,9436200,9780718,9897752,10065280,10144129,10203406,10293219,10615725,10773748,10866046,11004529,11134971,11286718,11323440,11766526,11880964,12078336,12138968,12281629,12738870,12787933,13040113,13199806,13588128,13626013,13656339,13875915,13972318,14268718,14291293,14800976,14869633,15198529,15286644,15332446,15608029,15749355,16015729,16340593,16648948,16651098,16685355,16799312,16825729,16918318,17327566,17348312,17378164,17455179,17628529,17797712,18376318,18550606,18740353,18899226,19134013,19419886,19516851,19572248,19708846,19939726,20022426,20071453,20381629,20573326,20767729,20779975,20803246,20891415,21834718,21991153,22018779,22089988,22284176,22529432,22595953,22757655,22804126,23420029,23529988,23542318,23825518,24274832,24456253,24503566,24741272,24896029,24935970,25069698,25345611,25404046,25516318,25553415,25912093,25984129,26076718,26598368,27109828,27256976,27309186,27339133,27422571,27691393,27833931,28025518,28111729,28416152,28746939,28806529,28854718,29240446,29243908,29244243,29405518,29562493,29845006,29923164,30064366,30338206,30579313,30664098,30667755,31014388,31157326,31447453,31545723,31864318,31968171,31972846,32060055,32434033,32676718,32712272,32838766,33593086,33646846,34197392,34392819,34397806,34533748,34558318,34673053,34718686,34814575,34932286,35048029,35118363,35358529,35912893,35933428,36058971,36651171,36693255,36693723,36739115,36801306,36823873,37106926,37422193,37475518,37582563,37738318,38105566,38472066,38629208,38713153,38718964,39139472,39288433,39758788,39800029,39856513,40013855,40038699,40417393,40540555,40695133,40718363,40757566,41190529,41478286,41734129,41775915,41777490,41807575,42297051,42483073,42553486,42588913,42862611,42971672,43317166,43457859,43580029,44031906,44040433,44086938,44344129,44355891,44430718,44531566,44545153,44560976,44562656,44645233,44894173,45135128,45285886,45337729,45581629,45923655,45943491,46186318,46254973,46284148,46350013,46574552,46684318,46727293,46833406,46840619,47007229,47142003,47192413,47342091,47422273,47576686,47966593,48016626,48145729,48190333,48343131,48562126,48632413,48648666,48807229,48905518,48985232,49142955,49638718,49664029,50131098,50132988,50163032,50169090,50246653,50465326,50649339,50654173,50755966,50777019,50852395,50935153,50949406,51251953,51362308,51594392,51672526,51680029,51816718,51912766,52287133,52396371,52419152,52473073,52484450,52814955,52917406,53023448,53122971,53198833,53481073,53513696,53689729,53861629,54044164,54065533,54289911,54333373,54399613,54484619,54600483,54655255,54670318,54726493,54811486,55014529,55045108,55108386,55603453,55932529,56021655,56079229,56215246,56252893,56335952,56367229,56433411,56447806,56586008,56675713,57029053,57055729,57162650,57294219,57370564,57421633,57558526,57599293,57846973,58018606,58032388,58043691,58169090,58243251,58502173,58522846,58625211,58722493,58956529,58971546,59181853,59643229,59651379,59752318,59753523,59756432,59805553,59893213,60010948,60012913,60069166,60202908,60225853,60411613,60456433,60558493,60615229,60684529,60842072,60881629,61004029,61022874,61050973,61104718,61163293,61268413,61288573,61318273,61337713,61367579,61418206,61540573,61552318,61556413,61562631,61686286,61730113,61753729,61776193,61812733,61827313,61871233,61949533,61969729,61984093,61984129,62119655,62575726,62873355,62885518,62981340,63041763,63377946,63546718,63644483,63659259,63667928,63755931,64048715,64062363,64240455,64422718,64587268,64911988,65000575,65075518,65586306,65724718,65781272,65947015,66216819,66284446,66484568,66915170,67059083,67064912,67176964,67180096,67225986,67438318,67443123,68201086,68203655,68219123,68447331,68523152,68595180,68706718,68786164,69373115,69427828,69802908,70582318,70597855,70664926,71026948,71282446,71428555,71626419,71966955,72018718,72212871,72235898,72303646,72547246,72788312,73153726,73168192,73234318,73515886,73587899,73997571,74003931,74543586,74554846,74795139,74879192,75337595,75448026,75543646,75577608,75740206,76095748,76483486,76562695,76621611,76664451,76764752,76858458,76911166,77088546,77176043,77259646,77316663,77640123,77779443,77803363,77835170,77852055,78000690,78813939,78879563,78914548,78978423,79136418,79662718,80110155,80113246,80229443,80298204,80337646,80357615,80598718,80795099,81266446,81340318,81598366,81844386,81886851,82258318,82314216,82328068,82356155,82549966,82695406,82913086,83042192,83098700,83200736,83247738,83418766,83745651,84116123,84239091,84701755,84717426,85024809,85058206,85095028,85128718,85232883,85255832,85259091,85401028,85450832,85457379,85497587,85550446,85714266,86004718,86282926,86360346,86421646,86482403,86525518,86819095,87111406,87145726,87315608,87315915,87373083,87667970,87964606,88066318,88167886,88639966,88673566,88826331,89142286,89561415,89654788,89674126,90405114,90541191,90609722,90737048,90755495,90823246,90920690,91115566,91206363,91535518,91875234,92016718,92080606,92557726,92594575,92603493,92652718,92747566,92873806,92886123,93062686,93136976,93164095,93399803,93402204,93422466,93438718,93600828,93967486,94043415,94153006,94368718,95020779,95192867,95532176,95593100,95646526,95798690,95886718,95912811,95929588,96132186,96279915,96334318,96410171,96429138,96626811,96859352,97110388,97218718,97455890,97568446,97742446,97858126,97954923,98031166,98065799,98230059,98375518,98667947,98827386,98959755,99104450,99335991,99702046,99718440,...,171149157040593883548133842118281236052187374000510071041573823973706093440504382443272335550255867667007429222668998412817611008528119669120008609183107058473598440455468569228177498791533918618348289212965512408741373594774668753425768447303954438459934188596520673518195411117078292978153195399617777848691434797888120169048848924316999196096224370032532792308099878397142878718237976991564486820988480134561116556150035514992149345901735902440142036632368174618513273574781646009660280574999620250217579744965787712035156174398825527439094038964927438011086131981006520546465495422337208939589652875931271667184564759823659321298025513052688956778453912341773643959115657876492970855162766996597874884983242618897978313503905579793302922499170098597519438644975440821841654168237292755346545549251206480572386411043282951372083652488655013132598137628778894706290242450581492990597706039513281109366035016330035395122183697427021779025824980345213529242157369932860541715462225396153791270934037046929881545736254192126122445698643115132302008517520019744092176446915080081360114180820030120889385263920238776968435078094610713569751900421492694061379678054827905085504476509392949051491223979376175637811520398852884458362722944861746601387779899762047637921496601401312051000003215454091727423352568208361068269435434173822192128698007403040639578506716468626671084641110816612215344924748083603484265570011286774128498730128701401445331372325198263788800323165226235472213520073586602572923585175883240958800494645429741314725113793798111625443894851755241272672613710597159584380582547569591772812532902936074876769743891805789964929614386504923383884777228588716375392842749131598717971860308529618390552978180362922184178671747616196274748467880947602433045061217724111987434423058357791113947465009074715463238339031411779445210025433190147724630743261618181641551370647421792736055052138503382209163651374226631448913619333044022184894433551657514541777474734450167865197076660986105653204311204928538776355912307952725011718119442186861530701691752528411151649839209379627900685356005772627937140734984538233507011257308356601346843579851849426155624521066225024854732080264017265978554135651605933252828403405321055188497676472977501976250890758189106415802874474769753817541972207675354290733624494059282307830886035098809082062022292063382625066389514769021105294412516954066550541927649499712552707201358434288771897933182409025269563821441790337481120358095781219964087710229288417694722}
15747  7357228236708869194479278492969263493747962113337713143828901229: {236085,251824,283302,330477,393425,472110,503584,519189,566532,613509,770917,802077,865205,1038246,1101310,1321572,1431157,1541638,1573300,1887960,2013824,2044510,2123955,2202340,2265552,2421958,2453412,2548746,2642808,2869989,2973159,3146200,3431949,3459940,3539475,3775440,3899589,4027136,4151928,4247370,4530528,4553277,4626485,4670919,4739829,4833069,5096844,5551782,5563205,6164984,6414477,6675846,6694933,6935607,7619109,7898705,8005837,8256675,8660533,8807120,8830385,9004029,9143189,9478446,9564190,9829375,9908010,10568544,10596462,10621597,10842189,11436910,11477028,11666229,11795250,11889612,12372190,12530717,12579549,12581600,12853077,12950854,13126389,13467185,13581429,13645957,13724292,14154300,14671077,14699398,14789069,14846628,14851205,14862289,15097920,15173710,15179773,15305109,15318413,15572998,15718013,16104448,16160622,16299069,16930077,16985160,17125717,17649789,17821446,17983813,18117504,18158053,18208452,18395333,18501220,19102949,19108305,19498654,19713253,19799709,19936453,20382192,20811185,20958477,20999140,21240478,21359573,21403077,21605662,21648613,21685390,21722705,22077917,22201464,22247140,22929966,22998669,23093158,23273572,23489149,23664833,23849854,24465310,24854206,24864133,24926197,24973422,24976647,25151566,25198968,25377477,25626022,25767157,25991349,26022468,26067246,26696568,26834993,27564477,27612485,27825909,27855220,28002694,28161790,28348839,28600253,28623238,28910206,28957189,29129829,29358372,29412485,29563269,29858669,29909589,29922718,30033639,30142726,30343540,30589429,30859989,30926590,31013062,31204869,32217173,32346949,32493358,32502973,32752077,33134982,33247960,33426264,33647134,33770542,33794148,33800557,33887285,34071220,34206189,34247038,35125414,35294982,35313477,35319793,35400109,35520190,35675758,35738277,36197902,36412248,36554885,36563428,36755349,37111908,37403955,37600213,37604547,37645213,37850093,38106069,38274477,38329252,38767985,38778997,38976677,38990854,38992324,38992369,39115077,39466673,39493237,39897552,40338449,40664742,40741613,40752733,40885464,40890340,40963779,41031589,41778886,41854462,42033214,42038277,42060964,42624228,42746740,42862078,42907198,43167185,43282077,43372493,43605958,43860669,43865862,43892653,43935569,43944766,44108277,44763389,44767509,44884746,44916785,44966389,45096549,45145093,45507309,45653638,45766853,45857092,45866758,45888622,45996147,46395517,46521582,46735989,46824484,46966333,46972294,47321693,47533678,47796477,47959269,48078628,48286510,48398705,48539569,48868228,48924340,48924964,49015077,49068408,49258149,49293958,49338022,49512757,49698485,49772789,50110084,50389629,50470269,51296088,51462046,51596709,51766726,51800622,51837477,52078029,52153973,52286878,52398429,52549342,52736053,53137006,53236813,53384932,53714590,53900142,54404549,54468958,55201959,55220686,55660389,55701220,55703320,55709437,56213277,56396068,56418910,56607477,56844229,56846662,57150148,57158349,57558613,57608494,57708099,57855185,57884014,57943812,58078446,58173997,58218190,58681798,58709208,58782584,59141188,59478277,59638182,59732189,59957758,60368542,60723773,60812014,61136349,61171006,61231540,61257988,61383617,61569157,61877429,61903313,62217429,62666235,62703790,62856004,62918833,63122788,63506854,63689773,63830229,63834853,64022168,64202885,64457508,64492990,64864888,64975749,64997638,65096797,65519293,65523940,65981422,65987086,66047859,66130407,66232462,66279310,66646077,66797349,66841464,66843984,66892120,67169158,67273649,67365118,67532452,67555205,67601537,67702692,67928829,68323534,68806385,68860486,69096829,69152957,69279477,69426222,69861828,69984382,70026477,70250109,70352837,70419940,70630558,70703153,70732510,70791166,70830628,71328142,71365029,71713205,72024939,72386548,72540485,72661918,72800644,72843189,72972999,73183006,73224517,73358277,73477848,74002822,74458077,74485489,74598853,74695540,74769478,75013685,75196647,75199482,75210133,75244548,75253635,75313493,75502493,75697989,75725653,76052590,76096966,76133949,76333837,76392292,76401157,76424109,77043462,77176606,77391588,77508789,77548078,77657668,77725077,77869149,78166948,78246286,78436853,78628728,78726675,79372582,79376109,79394917,79535172,79584910,79671364,80270544,80734085,80909837,81066246,81139985,81318613,81363832,81494854,82005477,82052686,82083508,82143886,82217229,82226590,82567662,82576093,82662579,83060657,83105710,83137729,83590654,83808049,83831140,83971205,83975120,84055684,84284189,84322869,84503928,84671709,84751933,84879012,85007908,85255973,85416484,85653940,85743975,85982705,86004053,86055846,86337789,86784785,86928133,87027909,87048582,87253635,87448408,87451073,87773854,87784269,87872494,88289092,88457319,88783685,88890277,89325629,89628477,89634648,89861254,89924164,90016422,90103749,90304362,90744317,90760657,90985390,91263108,91367134,91425437,91460240,91534311,91657077,91916149,92127309,92277377,92328477,92362438,92529429,92884654,93070544,93314609,93523589,93598990,93863589,93966389,94027654,94328277,94472010,95066919,95119685,95320077,95343493,95501892,95858333,95955940,96106654,96197926,96273502,96283828,96634077,96880902,97367982,97613277,97817093,97907989,98118862,98362853,98379459,98548573,98587077,98597758,98643185,98663428,98667454,98671908,98737414,99391448,99426669,99637702,99726852,99737693,99808109,99841798,...,256723735560890825322200763177421854078281061000765106562360735960559140160756573664908503325383801500511143834003497619226416512792179503680012913774660587710397660683202853842266248187300877927522433819448268613112060392162003130138652670955931657689901282894781010277293116675617439467229793099426666773037152196832180253573273386475498794144336555048799188462149817595714318077356965487346730231482720201841674834225053272488224018852603853660213054948552261927769910362172469014490420862499430375326369617448681568052734261598238291158641058447391157016629197971509780819698243133505813409384479313896907500776847139735488981947038269579033435167680868512660465938673486814739456282744150494896812327474863928346967470255858369689954383748755147896279157967463161232762481252355939133019818323876809720858579616564924427058125478732982519698897206443168342059435363675872239485896559059269921664049052524495053092683275546140532668538737470517820293863236054899290812573193338094230686906401055570394822318604381288189183668547964672698453012776280029616138264670372620122040171271230045181334077895880358165452652617141916070354627850632239041092069517082241857628256714764089423577236835969064263456717280598279326687544084417292619902081669849643071456882244902101968076500004823181137591135028852312541602404153151260733288193047011104560959367760074702940006626961666224918323017387122125405226398355016930161192748095193052102167997058487797395683200484747839353208320280110379903859385377763824861438200741968144611972087670690697167438165842277632861909008920565895739376570873821354387659218799354404112315154615837708684947394421579757385075827165842883074563089264123697398076957790462794427585829467270544383276268007621424294412122701821421403649567591826586167981151634587536686670921197513612073194857508547117669167815038149785221586946114892427272462327055971132689104082578207755073313745477061339947173370428999566033277341650327486271812666212101675251797795614991479158479806466807392808164533868461929087517577179163280292296052537628792616727474758814069441851028034008658941905711102476807350260516885962534902020265369777774139233436781599337537282098120396025898967831203477408899879242605107981582782746514709466252964376336137283659623704311712154630726312958311513031436100436741088923461746329052648213623093033438095073937599584272153531657941618775431099825812891474249568829060802037651433157846899773613537904345732162685506221680537143671829946131565343932626542083}
15748  7389687687924674314517363421044824056489644929111816150362879917: {173107,220346,267427,314780,377736,409058,424953,440636,597626,629480,692252,708165,755376,818012,849798,1069436,1384328,1557369,1580347,1651965,1673587,1762096,1966625,1982358,2100986,2312457,2359950,2475386,2517280,2602027,2752925,2786851,2831940,3020736,3035906,3063547,3066765,3222458,3271216,3303510,3398328,3523744,3632937,3680118,3823119,3826652,3889747,3932750,3964212,3967226,4324925,4338746,4346227,4575932,4719300,5033920,5080058,5189910,5199452,5344147,5394361,5535904,5663160,5974651,6040704,6071036,6227892,6319772,6371055,6422851,6444092,6795792,6869251,7047307,7313851,7402376,7645266,7706230,7933267,8327673,8552636,8899507,8901128,9074251,9247476,9335827,9479546,9683587,9770347,10013769,10158812,11008900,11468258,11915947,12005372,12085651,12187106,12637928,12761587,13097827,13210680,13261058,13439546,13974146,14091392,14128616,14217669,14346285,14431267,14456252,14862015,14862266,15173227,15302704,15419251,15554972,15727000,15852816,15894693,15990787,16234651,16627706,16772732,17137436,17155365,17215542,17283907,17501852,17692875,17834418,17843851,18108572,18241651,18299056,18378746,18558285,18795547,18872400,19426281,19561436,19580707,19795504,20130560,20288258,20406812,20436067,20586438,21231450,21359251,21547496,21732092,22009058,22049097,22269942,22272067,22573436,22646880,22760565,23126525,23359497,23473027,23533052,23761928,23844547,24156672,24240933,24277936,24563258,25477740,25575866,25675147,25963867,26080226,26179651,26248925,26394787,26399612,26732169,26894251,27176256,27252026,27312678,27460747,27751830,27808925,27812467,27944636,27952651,28301851,28537436,28582586,28649251,28994851,29091965,29247981,29601952,29739266,30397058,30573288,30664892,30896947,31216058,31496347,31498710,31826827,31860717,32031458,32155507,32221027,32408493,32528085,32681186,33297896,33302196,33370710,33452227,33598624,33651458,33836636,34394949,34405867,34639737,34655132,34696624,34756328,34819025,34910358,35219251,35257058,35343307,35595424,35652187,35774781,36142651,36628507,36697965,36752636,37101212,37281309,37460133,37480706,37527067,37645651,37727349,37798452,37822987,37929425,38268026,38439033,38839772,39033702,39100869,39103651,39144496,39417692,39560707,39879452,40044852,40142906,40237651,40349467,40627747,40683187,40763258,41146652,41506147,41535458,41559950,41606492,41722867,41782830,42004041,42242685,42578227,42589025,42934857,43365309,43669436,43982306,44037558,44179976,44385067,44568352,44884077,45058864,45083107,45132427,45191906,45214089,45230851,45515310,45573067,45608252,45704285,45815347,46055827,46342027,46389885,46519593,46578547,46840058,47059976,47084636,47369251,47651036,47688787,47911565,47959867,48549664,48713851,48740037,48740405,48912506,48931651,49007132,49482544,49489507,49574251,49702473,49792058,49871940,49910347,50139396,50470701,50655813,50691222,50808092,51032636,51106830,51112925,51370557,51434761,51791851,51824186,51868387,51968258,52058467,52153436,52544251,52576205,52688121,52942473,53089651,53196736,53280285,53433425,53513637,53549227,53791651,53962651,54199027,54219656,54296853,54513952,54563347,54618372,54678266,54790651,54845142,55172107,55382786,55667862,55963027,56019397,56051036,56223458,56254267,56368747,56756777,56832304,57084787,57137851,57321307,57321365,57450187,57493878,57613058,57709436,57727387,57947707,58091347,58416427,58480892,58486281,58487816,58488486,58530605,58595851,58811036,59124986,59187547,59385187,59423851,59481307,59556907,59575627,59612851,59690012,59846328,60087187,60098285,60128732,60169267,60595651,60665851,60676412,60707107,60800851,60997113,61049251,61072507,61084027,61085285,61155425,61156205,61158626,61237747,61328196,61335510,61367851,61432867,61477147,61560307,61606747,61820947,61825987,61872427,61880851,61911667,61997851,61998787,62028776,62314652,62637605,62668329,62781693,62894906,63049821,63091446,63728636,63936342,63945692,64120110,64293117,64360797,64868066,65353436,65408937,65424544,65677532,65798793,65917149,66731165,67186172,67293692,67327119,68394784,68480457,68785638,68795612,68800137,68832933,69067496,69116636,69346106,69437372,69626525,69629150,69782373,69864572,70096058,70236726,70458441,70495085,70717058,71193353,71300517,71437685,71825786,71866856,72117942,72429765,73302342,73386510,73387446,73478230,73602612,73647746,73926485,73940937,74007033,74213852,74844386,74951036,75165126,75476636,76211132,76517357,76539425,76572485,76944132,77193069,77258416,77426306,77437928,77650089,77700933,78278944,78430317,78570005,78576866,78824013,78903485,79517576,79600058,79705509,79713026,80027710,80077398,80571885,80834786,80850213,81081110,81390266,81436726,81515132,81598649,81703437,81904925,82381058,82831029,82956572,83468258,83551830,83554980,83615150,84415565,84594102,84628365,84966146,85106972,85177826,85269993,85725222,85943344,86412741,86634332,86826021,86915718,86967517,87117669,87160058,87327285,88022697,88024925,88063812,88080866,88173876,88538285,88688258,88711782,88861436,89063132,89090306,89121952,89125312,89166473,89290466,89457273,89668201,89788346,89936637,90270256,90483185,90552813,90571772,90675458,91000805,91163258,91218021,91756509,91847310,91886982,91949429,92325821,92372636,92509946,92568296,92700026,93149104,93368636,93369425,93454586,93666812,93681238,94014458,94055685,94284006,94384826,94684182,94844546,95153372,95260281,95485117,95490365,95933186,96033252,96291458,96380666,96686262,96739485,97072085,97122361,97124252,97264826,97297332,97496457,97614458,97708685,97811036,97970464,98285910,98836997,98972133,98980629,99277436,99328058,99348693,99418965,99589205,99999977,...,342298314081187767096267684236562472104374748001020142083147647947412186881008764886544671100511735334014858445337996825635222017056239338240017218366214116947196880910937138456354997583067837236696578425931024817482747189549337506851536894607908876919868377193041347036390822234156585956306390799235555697382869595776240338097697848633998392192448740065065584616199756794285757436475953983128973641976960269122233112300071029984298691803471804880284073264736349237026547149563292019320561149999240500435159489931575424070312348797651054878188077929854876022172263962013041092930990844674417879179305751862543334369129519647318642596051026105377913556907824683547287918231315752985941710325533993195749769966485237795956627007811159586605844998340197195038877289950881643683308336474585510693091098502412961144772822086565902744167304977310026265196275257557789412580484901162985981195412079026562218732070032660070790244367394854043558051649960690427058484314739865721083430924450792307582541868074093859763091472508384252244891397286230264604017035040039488184352893830160162720228361640060241778770527840477553936870156189221427139503800842985388122759356109655810171008953018785898102982447958752351275623040797705768916725445889723493202775559799524095275842993202802624102000006430908183454846705136416722136538870868347644384257396014806081279157013432937253342169282221633224430689849496167206968531140022573548256997460257402802890662744650396527577600646330452470944427040147173205145847170351766481917600989290859482629450227587596223250887789703510482545345227421194319168761165095139183545625065805872149753539487783611579929859228773009846767769554457177432750785685498263197435943720617059236781105956360725844368357343495232392549496935761895204866090122435448223974868846116715582227894930018149430926476678062823558890420050866380295449261486523236363283102741294843585472110104277006764418327302748453262897827238666088044369788867103315029083554949468900335730394153321972211306408622409857077552711824615905450023436238884373723061403383505056822303299678418759255801370712011545255874281469969076467014022514616713202693687159703698852311249042132450049709464160528034531957108271303211866505656806810642110376995352945955003952501781516378212831605748949539507635083944415350708581467248988118564615661772070197618164124044584126765250132779029538042210588825033908133101083855298999425105414402716868577543795866364818050539127642883580674962240716191562439928175420458576835389444}
15749  7422289222588260908337108624594122332146068938172455109476506567: {15749,330519,393475,472170,503648,550795,566604,613587,660954,786850,865315,896439,944220,1007168,1022515,1038378,1133064,1211287,1227018,1274697,1336795,1541834,1604154,1730410,1902967,2076492,2202620,2643144,2862314,2973537,3083276,3146600,3151479,3539925,3713079,3775920,4027648,4089020,4247910,4404680,4531104,4553859,4783315,4833687,4843916,4906824,4955265,5097492,5285616,5520177,5719915,5739978,5899125,5946318,5950839,6292400,6477079,6499315,6508119,6863898,6919880,7078950,7550880,7588795,7620087,7784865,7788487,7799178,7899715,8054272,8055115,8303856,8494740,9061056,9106554,9252970,9341838,9479658,9666138,10175671,10193688,10690795,10805587,11058187,11103564,11126410,11467899,11549527,11559345,12235927,12329968,12362539,12698515,12828954,13351692,13389866,13761125,13871214,14004919,14126779,14219319,15006715,15238218,15320371,15510487,15797410,16011674,16250827,16513350,16688947,16827859,16948999,17202387,17321066,17567191,17614240,17660770,18008058,18070315,18103579,18280659,18286378,18642331,18739171,18854059,18902827,18956892,19128380,19443715,19658750,19816020,19891587,20159319,20791687,20961219,20965915,21137088,21192924,21243194,21260119,21421795,21684378,21739939,21877315,22080739,22293399,22489687,22635715,22832647,22873820,22954056,23332458,23510707,23590500,23667859,23772907,23779224,24080179,24451795,24675319,24744380,24941559,25061434,25159098,25163200,25508515,25706154,25823313,25901708,26252778,26336227,26448931,26751627,26795971,26908387,26934370,27162858,27165115,27291914,27366379,27448584,27568119,28216795,28308600,28430599,29135659,29342154,29398796,29416315,29578138,29693256,29702410,29724578,29862487,29992051,30004099,30178747,30195840,30347420,30359546,30411787,30432387,30610218,30635671,30636826,30879657,31145996,31436026,31847175,32208896,32221291,32321244,32598138,32999515,33013587,33124699,33404913,33677347,33800299,33860154,33970320,34251434,34439047,34743427,34868299,34930795,35299578,35642892,35671795,35833531,35967626,36038167,36235008,36316106,36416904,36790666,36844887,37002440,37854931,38205898,38216610,38331115,38363799,38438359,38657479,38730967,38981659,38997308,39120339,39133147,39426506,39471739,39599418,39696439,39872906,39996427,40764384,40878039,40969017,41082547,41088907,41177479,41622370,41627745,41916954,41998280,42295795,42480956,42719146,42806154,42873879,42965827,43120411,43141699,43211324,43297226,43318915,43370780,43378039,43445410,43941187,44109811,44155834,44402928,44494280,44608899,44842747,45595587,45748051,45759019,45859932,45940795,45997338,46107127,46186316,46376515,46547144,46824087,46978298,47109667,47248065,47329666,47442199,47699708,47850427,47996659,48047187,48149179,48549715,48930620,49021779,49272115,49708412,49728266,49849315,49852394,49946844,49953294,50056065,50303132,50397936,50461627,50477187,50622331,50754954,51144139,51176839,51252044,51433315,51534314,51982698,52008115,52044936,52134492,52365537,52775767,52885587,52888951,52902187,53393136,53623099,53669986,54088099,54275179,54586795,55128954,55224970,55498579,55651818,55710440,56005388,56219659,56221059,56248771,56323580,56697678,56993731,57010315,57091507,57200506,57246476,57402039,57820412,57914378,58259658,58550553,58716744,58747447,58822387,58824970,58855795,59126538,59563795,59717338,59762119,59819178,59845436,60067278,60214359,60285452,60434059,60687080,60929719,61144887,61178858,61258915,61719978,61853180,61911259,62026124,62303187,62339925,62409738,62674245,62807011,62883499,62948059,63510115,63790795,64031671,64434346,64628587,64693898,64986716,65005946,65191795,65427991,65504154,65678371,65973459,66056337,66172507,66269964,66495920,66852528,67294268,67541084,67588296,67601114,67758187,67774570,67787859,68142440,68176651,68272965,68412378,68441587,68494076,68605219,68965171,69577879,70063795,70250828,70260087,70589964,70592587,70605271,70626954,70639586,70800218,71040380,71067079,71228827,71351516,71476554,71764459,71913211,72136795,72395804,72570487,72824496,73101115,73109770,73126856,73368759,73510698,73513795,73618219,73809427,73878871,74057947,74223816,74612515,74688087,74807910,75160915,75200426,75209094,75290426,75512371,75521107,75554659,75700186,75845515,76036833,76212138,76427479,76548954,76658504,76660245,76901659,77288599,77469667,77535970,77557994,77736279,77893315,77952387,77953354,77981708,77984648,77984738,78230154,78447127,78674887,78933346,78986474,79021171,79660795,79795104,79932115,80399671,80507527,80673331,80676898,80997259,81130267,81329484,81483226,81505466,81622699,81691795,81770928,81780680,81920851,81927558,82017399,82063178,82096915,82267713,83026987,83074179,83501793,83557772,83708924,83982715,84066428,84076554,84117115,84121928,84335187,85248456,85493480,85724156,85814396,85994515,86240817,86334370,86395795,86419587,86564154,86661427,86744986,86796715,86904619,87208627,87211916,87330715,87721338,87731724,87732729,87785306,87871138,87889532,88216554,88687479,88727731,89230219,89526778,89535018,89769492,89833570,89884039,89932778,90193098,90290186,91014618,91267339,91307276,91533706,91714184,91716979,91733516,91737939,91777244,91935367,91992294,92003265,92698099,92767315,92791034,92832499,93043164,93326587,93471978,93648968,93688795,93821419,93932666,93944588,94342359,94345795,94577287,94637169,94643386,95049931,95067356,95263915,95592954,95904513,95918538,96157256,96180165,96226867,96328939,96573020,96797410,97079138,97302099,97391419,97736456,97848680,97849928,98030154,98136816,98375479,98516298,98587916,98676044,99025514,99396970,99545578,99608587,99750871,99937339,...,513447471121781650644401526354843708156562122001530213124721471921118280321513147329817006650767603001022287668006995238452833025584359007360025827549321175420795321366405707684532496374601755855044867638896537226224120784324006260277305341911863315379802565789562020554586233351234878934459586198853333546074304393664360507146546772950997588288673110097598376924299635191428636154713930974693460462965440403683349668450106544976448037705207707320426109897104523855539820724344938028980841724998860750652739234897363136105468523196476582317282116894782314033258395943019561639396486267011626818768958627793815001553694279470977963894076539158066870335361737025320931877346973629478912565488300989793624654949727856693934940511716739379908767497510295792558315934926322465524962504711878266039636647753619441717159233129848854116250957465965039397794412886336684118870727351744478971793118118539843328098105048990106185366551092281065337077474941035640587726472109798581625146386676188461373812802111140789644637208762576378367337095929345396906025552560059232276529340745240244080342542460090362668155791760716330905305234283832140709255701264478082184139034164483715256513429528178847154473671938128526913434561196558653375088168834585239804163339699286142913764489804203936153000009646362275182270057704625083204808306302521466576386094022209121918735520149405880013253923332449836646034774244250810452796710033860322385496190386104204335994116975594791366400969495678706416640560220759807718770755527649722876401483936289223944175341381394334876331684555265723818017841131791478753141747642708775318437598708808224630309231675417369894788843159514770151654331685766149126178528247394796153915580925588855171658934541088766552536015242848588824245403642842807299135183653172335962303269175073373341842395027224146389715017094235338335630076299570443173892229784854544924654111942265378208165156415510146627490954122679894346740857999132066554683300654972543625332424203350503595591229982958316959612933614785616329067736923858175035154358326560584592105075257585233454949517628138883702056068017317883811422204953614700521033771925069804040530739555548278466873563198675074564196240792051797935662406954817799758485210215963165565493029418932505928752672274567319247408623424309261452625916623026062872200873482177846923492658105296427246186066876190147875199168544307063315883237550862199651625782948499137658121604075302866315693799547227075808691464325371012443361074287343659892263130687865253084166}
15750  7455033457745483636859457788350249479155419572521377305966028568: {173129,204581,267461,298889,346214,361721,440692,534854,629560,708255,755472,818116,849906,881272,991431,1050761,1113209,1180275,1195252,1238009,1258960,1300361,1384504,1393829,1416330,1510752,1557567,1580549,1611641,1636024,1673801,1699596,1704869,1840527,2046089,2138872,2312751,2324549,2406231,2595615,2602361,2753275,2768656,2817989,2971769,3094649,3114738,3160694,3303930,3347174,3462521,3524192,3707129,3854095,3933250,3964716,3981701,4201972,4286021,4293471,4377161,4624914,4719900,4741001,4801529,4950772,5034560,5111275,5194181,5204054,5374949,5505850,5525369,5573702,5645561,5663880,5735621,5975429,6041472,6054895,6071812,6127094,6133530,6154949,6371865,6423689,6444916,6453509,6542432,6602489,6607020,6781001,6796656,7047488,7048229,7077881,7265874,7314809,7360236,7433081,7492169,7646238,7653304,7757669,7779494,7865500,7928424,7934452,7963721,8462501,8550281,8609967,8649850,8677492,8692454,8754821,8919477,9104549,9151864,9278981,9366089,9438600,9713801,9944969,10067840,10146821,10160116,10204421,10295847,10379820,10398904,10618425,10688294,10788722,10807289,11007461,11071808,11326320,11698767,11949302,12081408,12115529,12142072,12256709,12341321,12455784,12639544,12707141,12742110,12791369,12845702,12847481,12888184,13099589,13127561,13462601,13591584,13629689,13659831,13738502,13768709,13879455,13879781,14012757,14094614,14101541,14219487,14295161,14350409,14499207,14515961,14626169,14627702,14708741,14804752,14873669,14928581,15010889,15202661,15290532,15412460,15448649,15866534,16020101,16074341,16345061,16426121,16507109,16655346,16689615,17105272,17286281,17366501,17473349,17633381,17686661,17799014,17802256,17872889,18148502,18494952,18640229,18671654,18798149,18824441,18959092,19034489,19139321,19243431,19367174,19540694,19583429,19843589,20027538,20084799,20206469,20317624,20387321,20438921,20464709,20696441,20806821,21362249,21921401,22017800,22047941,22602341,22652549,22727801,22857327,22936516,23426681,23476361,23501189,23696115,23798501,23831894,23872649,23910475,24010744,24017511,24143909,24171302,24374212,24389669,24536741,24770025,24903161,24951881,25275856,25523174,25678841,25919561,25967609,25981599,25991621,26039621,26195654,26421360,26491155,26522116,26879092,26921849,27012087,27347081,27417701,27429567,27488249,27816521,27839909,27948292,27956729,28119941,28182784,28236281,28257232,28305989,28435338,28445189,28592275,28692570,28862534,28912504,29022089,29090981,29274341,29488125,29724030,29724532,29957381,30228581,30346454,30386249,30605408,30633221,30722789,30789881,30838502,30856901,30930475,31035269,31109944,31301861,31368329,31454000,31501049,31705632,31789386,31853561,31864791,31981574,32160329,32291321,32377135,32443781,32469302,32487269,32526567,32682569,33255412,33350309,33457289,33545464,33968009,34094969,34274872,34310730,34431084,34567814,34683641,34788101,34998687,35003704,35100281,35307401,35369381,35385750,35657669,35668836,35687702,35739749,35923961,36026021,36168569,36217144,36229541,36483302,36593861,36598112,36694601,36748495,36757492,36775049,36835301,36875429,37116570,37235141,37354469,37532921,37591094,37592151,37738647,37744800,37934275,37946789,38357129,38559231,38609381,38841029,38852562,38932495,39014009,39122872,39161414,39300869,39379167,39566981,39591008,39850361,39981989,40188041,40244069,40261120,40401555,40576516,40652741,40708169,40728751,40744287,40813624,40818809,40872134,40937871,41075849,41172876,41203781,41349509,41621369,41729609,41747621,42052601,42426149,42462900,42532229,42602789,42718502,42866249,42971129,43094992,43214729,43284041,43464184,43680101,43799801,44004089,44013231,44018116,44054981,44098194,44105801,44367207,44392421,44539884,44544134,44553615,44586867,44593349,44660069,44909129,45146872,45156389,45238409,45293760,45385541,45521130,45539319,45596921,45790841,45839141,45915327,45919481,45955239,46253050,46302329,46349861,46365689,46397321,46444709,46555001,46718994,46743161,46946054,47054201,47066104,47146889,47154039,47377349,47392649,47523856,47560421,47689094,47712101,47983109,48013061,48162341,48192101,48313344,48481866,48517349,48555872,48736889,48746635,48896741,48897207,48940169,48954629,49113161,49126516,49427321,49512329,49639301,49919141,50085509,50291849,50373881,50577701,50672201,50790231,50955480,51151732,51230969,51350294,51377151,51530981,51660101,51698681,51801209,51877769,51927734,51954041,52080521,52160452,52359302,52497850,52516901,52566149,52639781,52789574,52799224,52931429,52949367,53099429,53101195,53182841,53277689,53464338,53465849,53570789,53788502,53813129,53870309,53951439,53972729,54014155,54085769,54213475,54242681,54309449,54352512,54420089,54474159,54504052,54606341,54625356,54921494,55056581,55185999,55245221,55369541,55502921,55503660,55617850,55624934,55645049,55795589,55855301,55889272,55905302,55924601,55954181,55973861,55983689,56071781,56130149,56265221,56274809,56293961,56389241,56408201,56502521,56603702,56642501,56697989,56716421,56753189,56798969,57015929,57051641,57069449,57074872,57096101,57104969,57165172,57210761,57237029,57298502,57308847,57324915,57332729,57461669,57470201,57639161,57714149,57732895,57796709,57821321,57886601,57910949,57983561,57989702,58031609,58183930,58267529,58428389,58495962,58526201,58541129,58607909,58695941,58768421,58825829,58868549,58939109,58974089,59084681,59139759,59203904,59206649,59220041,59246729,59266661,59306309,59399127,59442809,59462021,59478532,59493881,59569529,59588261,59624635,59625509,59650181,59699141,59717369,59759621,59777609,59809359,59918921,60038789,60050021,60203909,60252041,60262649,60294281,60309989,60330821,60387449,60536969,60613769,60637349,60656069,60720581,60794116,60814409,60818789,60917321,60979301,60991481,61031561,61086329,61146576,61154441,61163275,61191161,61198409,61244741,61272581,61282889,61323401,61329784,61346501,61365989,61419641,61428869,61447109,61456121,61491449,61528421,61542281,61569401,61574729,61577381,61598309,61608581,61665161,61693001,61708709,61719689,61793894,61820261,61840901,61842569,61857221,61860389,61865081,61880201,61887461,61895909,61904069,61915769,61930361,61933829,61941641,61959929,61964549,61973189,61977989,61981769,61997669,62001701,62012261,62012921,62015561,62015621,62135515,62432116,62433555,62875431,62878915,62992694,62997420,63653654,63721434,63985999,64062916,64065055,64078719,64209231,64311014,64442054,64816986,64945839,65056170,65168115,65362372,66233751,66595792,66604392,66741420,66904454,67076191,67197248,67302916,67673272,68236567,68789898,68811734,68996007,69279474,69310264,69393248,69512656,69638050,69820716,70006735,70404475,70438502,70467447,70514116,70686614,70994499,71190848,71304374,71549562,71558095,72275515,72285302,73257014,73395930,73505272,73606687,74202424,74562618,74592399,74778591,74806795,74920266,74929941,74961412,75054134,75291302,75356815,75454698,75596904,75645974,75858850,76132431,76536052,76878066,77301471,77316475,77532655,77679544,77974047,78067404,78201738,78207302,78288992,78835384,79121414,79758904,80089704,80249911,80285812,80475302,80504979,80698934,81233395,81255494,81366374,81526516,81942847,82293304,82693431,82837455,83012294,83070916,83119900,83212984,83445734,83477727,83565660,84008082,84117835,84137599,84426355,84485370,85046517,85156454,85178050,85519399,85617595,85618687,85800759,85869714,86730618,86871567,87338872,87389487,87692647,87813535,87964612,88075116,88237455,88359952,88689807,88770134,88800475,89136704,89189395,89576007,89728767,89768154,90100917,90117728,90166214,90264854,90383812,90428178,90461702,90494755,91030620,91146134,91216504,91408570,91630694,91768287,92111654,92579967,92684054,92779770,93039186,93157094,93423631,93614607,93680116,94119952,94169272,94738502,95302072,95377574,95823130,95919734,96434767,96651519,97040847,97099328,97427702,97477135,97480074,97480810,97508919,97825012,97863302,98014264,98256231,98693119,98965088,98979014,99148502,99404946,99584116,99743880,99820694,...,770171206682672475966602289532265562234843183002295319687082207881677420482269720994725509976151404501533431502010492857679249538376538511040038741323981763131192982049608561526798744561902633782567301458344805839336181176486009390415958012867794973069703848684343030831879350026852318401689379298280000319111456590496540760719820159426496382433009665146397565386449452787142954232070896462040190694448160605525024502675159817464672056557811560980639164845656785783309731086517407043471262587498291125979108852346044704158202784794714873475923175342173471049887593914529342459094729400517440228153437941690722502330541419206466945841114808737100305503042605537981397816020460444218368848232451484690436982424591785040902410767575109069863151246265443688837473902389483698287443757067817399059454971630429162575738849694773281174376436198947559096691619329505026178306091027616718457689677177809764992147157573485159278049826638421598005616212411553460881589708164697872437719580014282692060719203166711184466955813143864567551005643894018095359038328840088848414794011117860366120513813690135544002233687641074496357957851425748211063883551896717123276208551246725572884770144292268270731710507907192790370151841794837980062632253251877859706245009548929214370646734706305904229500014469543412773405086556937624807212459453782199864579141033313682878103280224108820019880884998674754969052161366376215679195065050790483578244285579156306503991175463392187049601454243518059624960840331139711578156133291474584314602225904433835916263012072091502314497526832898585727026761697687218129712621464063162977656398063212336945463847513126054842183264739272155227481497528649223689267792371092194230873371388383282757488401811633149828804022864272883236368105464264210948702775479758503943454903762610060012763592540836219584572525641353007503445114449355664760838344677281817386981167913398067312247734623265219941236431184019841520111286998698099832024950982458815437998636305025755393386844974437475439419400422178424493601605385787262552731537489840876888157612886377850182424276442208325553084102025976825717133307430422050781550657887604706060796109333322417700310344798012611846294361188077696903493610432226699637727815323944748348239544128398758893129008411850978871112935136463892178938874934539094308301310223266770385238987157944640869279100314285221812798752816460594973824856326293299477438674422748706487182406112954299473540699320840613713037196488056518665041611431015489838394696031797879626249}
15751  7487921013100836778858859253952650173442820614732179853047257300: {31498,519321,550865,661038,771113,786950,802281,944340,1007296,1022645,1101590,1133208,1211441,1227174,1274859,1321908,1431521,1494065,1573700,1730630,1792878,1871513,1888440,2014336,2045030,2076756,2124495,2248961,2266128,2422574,2454036,2549394,2673590,3083668,3208308,3460820,3805934,4152984,4405240,4672107,4741041,4955895,5020761,5252465,5286288,5724628,5899875,5947074,6166552,6188465,6293200,6302958,6696641,6937371,7079850,7426158,7551840,7589765,7806081,8007881,8055296,8056145,8178040,8258775,8360553,8495820,8809360,9062208,9099041,9107718,9190641,9200295,9566630,9667374,9687832,9813648,9831875,9910530,9918065,10194984,10520609,10571232,10624313,10846865,10898811,11040354,11059601,11277161,11439830,11469357,11479956,11669241,11798250,11892636,11901678,12025793,12580601,12584800,12700145,12954158,12974775,12998630,13016238,13038681,13609409,13649441,13727796,13839760,14157900,14460641,14967113,15101760,15177590,15240174,15569730,15576974,15598356,15788753,15799430,16032441,16108544,16110230,16183083,16607712,16691081,16989480,17777921,17844713,17923953,17988401,18105893,18122112,18162689,18213108,18505940,18683676,18959316,19113165,19265575,19268553,19332276,19435301,19551713,19723301,19928009,20351342,20387376,20607753,21009401,21126689,21141921,21381590,21611174,21941553,21980801,22116374,22146293,22207128,22252820,22935798,23099054,23118690,23698865,23799801,23853929,24133601,24471854,24659936,24678473,24725078,24932561,24983019,25298441,25397030,25657908,25740881,26452313,26578721,26698521,26703384,26779732,26911841,27221201,27222753,27244913,27522250,27620921,27704309,27742428,27785381,28007481,28009838,28253558,28434233,28438638,28643969,28670645,29050761,29311041,29352281,29990513,30013430,30041307,30467765,30476436,30585953,30628241,30640742,30711221,30977969,31020974,31594820,31650881,31690001,31800821,32023348,32501654,33026700,33128933,33152645,33377894,33533993,33598865,33655718,33695513,33897998,34019249,34232513,34404774,34443449,34642132,34935365,35134382,35228480,35321540,35409161,35711921,35747841,35838113,36016116,36140630,36205793,36207158,36256953,36561318,36572756,37155665,37284662,37478342,37708118,37805654,37913784,38031161,38256760,38284761,38304809,38788913,38830889,38887430,39072209,39138149,39156833,39293481,39317500,39503513,39632040,39701513,39783174,39800501,40001561,40318638,41042081,41094161,41182841,41569265,41583374,41922438,41931830,42246341,42274176,42385848,42486388,42520238,42590561,42653007,42843590,42971321,43038855,43293801,43368756,43479878,43754630,44115473,44161478,44586045,44586798,44701889,44848481,44979374,45061721,45271430,45519681,45570521,45665294,45747640,45772961,45908112,45946865,46199321,46257753,46653953,46664916,47021414,47181000,47335718,47545814,47558448,47684079,47972361,48160358,48217193,48552101,48703953,48903089,48903113,48903590,49350638,49488760,49883118,49940513,50122868,50318196,50326400,50720645,50990021,51017030,51142433,51412308,51466095,51646626,51803416,51851721,52505556,52672454,52897862,53078625,53091713,53115161,53479889,53503254,53531553,53591942,53663561,53816774,53868740,54325716,54330230,54490241,54583828,54671321,54724953,54732758,54897168,55022645,55136238,55674855,55675061,56386641,56398289,56433590,56617200,56861198,58155509,58271318,58278843,58684308,58742121,58797592,58802201,58832630,59086049,59156276,59214113,59386512,59404820,59449156,59724974,59773913,59984102,60008198,60357494,60391680,60646481,60694840,60719092,60823574,60864774,61220436,61271342,61273652,61308201,61408145,61759314,61788113,62060801,62291992,62371361,62815073,62872052,63474821,63694350,63939665,64040009,64077753,64317113,64417792,64442582,64642488,64927121,65196276,65200565,65227781,65396753,65908361,65999030,66027174,66147291,66181001,66249398,66809826,66816201,67138529,67271033,67354694,67471781,67600598,67645889,67720308,67781201,67940640,67969601,68130065,68281695,68502868,68878094,68974169,68980961,69379575,69428801,69486854,69720869,69736598,69789041,69861590,70078491,70353713,70419081,70599156,70942289,71152313,71285784,71343590,71456465,71533641,71667062,71780201,71935252,72006641,72076334,72470016,72632212,72722799,72811361,72833808,72878489,72907241,73547393,73581332,73689774,74004880,74334761,74348165,75524441,75530801,75673793,75709862,75992645,76411796,76421513,76433220,76662230,76727598,76876718,77025441,77314958,77461934,77619893,77805761,77891601,77963318,77994616,78040145,78240678,78266294,78538953,78746775,78853012,78943478,79018241,79184361,79198836,79392878,79608689,79745812,79814441,79992854,80078645,80196507,80204741,80513513,80682753,80891081,81140681,81504293,81528768,81574709,81702965,81756078,81938034,82165094,82177814,82354958,82382241,82398113,82492889,83244740,83255490,83389313,83426775,83437401,83442593,83657849,83833908,83857953,83996560,84128645,84591590,84697829,84905553,84961912,85087841,85438292,85612308,85747758,85762481,85765121,85931654,85947753,85948913,86237009,86240822,86283398,86422648,86594452,86637830,86741560,86756078,86757161,86890820,86984553,87275895,87311393,87506009,87543401,87743943,87882374,88142645,88219622,88311668,88805856,88914161,88988560,89217798,89241893,89307113,89685494,90449249,91191174,91268513,91416281,91496102,91518038,91555061,91719864,91881590,91994676,92214254,92372632,92690841,92710241,92753030,92898041,93055913,93094288,93648174,93701765,93788081,93956596,94219334,94489041,94496130,94659332,94884398,94911809,95017793,95399416,95480481,95582151,95670065,95700854,95993318,96094374,96298358,96325769,96466521,96663081,96856889,97099430,97225479,97404101,97584255,97861240,98043558,98089313,98438321,98544230,99416824,99456532,99477941,99686513,99698630,99704788,99893688,99906588,...,1026894942243563301288803052709687416313124244003060426249442943842236560643026294659634013301535206002044575336013990476905666051168718014720051655098642350841590642732811415369064992749203511710089735277793074452448241568648012520554610683823726630759605131579124041109172466702469757868919172397706667092148608787328721014293093545901995176577346220195196753848599270382857272309427861949386920925930880807366699336900213089952896075410415414640852219794209047711079641448689876057961683449997721501305478469794726272210937046392953164634564233789564628066516791886039123278792972534023253637537917255587630003107388558941955927788153078316133740670723474050641863754693947258957825130976601979587249309899455713387869881023433478759817534995020591585116631869852644931049925009423756532079273295507238883434318466259697708232501914931930078795588825772673368237741454703488957943586236237079686656196210097980212370733102184562130674154949882071281175452944219597163250292773352376922747625604222281579289274417525152756734674191858690793812051105120118464553058681490480488160685084920180725336311583521432661810610468567664281418511402528956164368278068328967430513026859056357694308947343876257053826869122393117306750176337669170479608326679398572285827528979608407872306000019292724550364540115409250166409616612605042933152772188044418243837471040298811760026507846664899673292069548488501620905593420067720644770992380772208408671988233951189582732801938991357412833281120441519615437541511055299445752802967872578447888350682762788669752663369110531447636035682263582957506283495285417550636875197417616449260618463350834739789577686319029540303308663371532298252357056494789592307831161851177710343317869082177533105072030485697177648490807285685614598270367306344671924606538350146746683684790054448292779430034188470676671260152599140886347784459569709089849308223884530756416330312831020293254981908245359788693481715998264133109366601309945087250664848406701007191182459965916633919225867229571232658135473847716350070308716653121169184210150515170466909899035256277767404112136034635767622844409907229401042067543850139608081061479111096556933747126397350149128392481584103595871324813909635599516970420431926331130986058837865011857505344549134638494817246848618522905251833246052125744401746964355693846985316210592854492372133752380295750398337088614126631766475101724399303251565896998275316243208150605732631387599094454151617382928650742024886722148574687319784526261375730506168332}
15752  7520952511028819146344710113267817022502283292635030123820189340: {47247,204607,298927,346258,409162,534922,597778,692428,723442,881384,991557,1069708,1144567,1180425,1259120,1416510,1510944,1611847,1636232,1652385,1699812,1705087,1762544,1840761,1967125,1982862,2101522,2226418,2355751,2360550,2390504,2476018,2517920,2595945,2600722,2689317,2769008,2787658,2832660,3002887,3021504,3067545,3115134,3161098,3223282,3272048,3279151,3347602,3399192,3409738,3633861,3681054,3738151,3824091,3854585,4010385,4092178,4277744,4326025,4625502,4649098,4812462,4832407,5191230,5204722,5395733,5506550,5537312,5635978,5708901,5826367,5943538,6189298,6229476,6321388,6454351,6607860,6633127,6694348,6722407,6925042,7048384,7078807,7155785,7414258,7708190,7866500,7929432,7963402,8403944,8476853,8572042,8586942,8754322,8920611,9249828,9280207,9439800,9454437,9482002,9541351,9603058,9901544,9975151,10069120,10222550,10388362,10407151,10408108,10619775,10749898,11011700,11050738,11094607,11139237,11147404,11291122,11327760,11471242,11521927,11950858,12082944,12109790,12143624,12254188,12267060,12286567,12309898,12371167,12743730,12847378,12889832,12907018,13084864,13129327,13204978,13214040,13562002,13593312,13661577,14094976,14096458,14155762,14349945,14501061,14531748,14629618,14720472,14865795,14866162,14984338,15040351,15286807,15292476,15306608,15515338,15558988,15696127,15731000,15856848,15868904,15927442,16428367,16560531,16925002,17100562,17159745,17219934,17299700,17354984,17384908,17475751,17509642,17697375,17838954,17852517,18114247,18209098,18303728,18557962,18669151,18732178,18827047,18877200,19063351,19427602,19431237,19497945,19524357,19889938,20135680,20293642,20320232,20408842,20467567,20591694,20759640,20797808,20853487,21007351,21236850,21376588,21577444,21614578,21772351,22014922,22143616,22379167,22652640,22756087,22766385,22860261,23132425,23354595,23365461,23397534,23504527,23699145,23898604,24162816,24165345,24171967,24231058,24284144,24393151,24513418,24540247,24682642,24911568,24979807,25279088,25414282,25484220,25489351,25582738,25691404,25694962,25776368,25995367,26067367,26199178,26255122,26925202,27183168,27259378,27319662,27421687,27477004,27537418,27758910,27759562,27816025,27843967,28025514,28189228,28203082,28438974,28472527,28590322,28700818,28998414,29031922,29252338,29255404,29370151,29417482,29609504,29747338,29857162,30021778,30255607,30405322,30527013,30581064,30824920,30897298,31062151,31395151,31726351,31733068,32040202,32072385,32148682,32416761,32690122,32852242,33014218,33162247,33174561,33310692,33379230,33474665,34121287,34210544,34403697,34572562,34648581,34678035,34733002,34814287,34946698,35126407,35266762,35373322,35436727,35598028,35604512,35745247,35745778,36297004,36599527,36707781,36989904,37087617,37280458,37343308,37596298,37648882,37795447,37918184,37972351,38068978,38095545,38278642,38486862,38731447,38734348,39081388,39166858,39493525,39687178,39819007,39875527,40029185,40055076,40169598,40412938,40635248,40774642,40877842,40929418,41100751,41265127,41283375,41374351,41392882,41483287,41613642,41646151,41754367,42014757,42380337,42556807,42657957,42724498,42873247,42978151,43239151,43302665,43842802,44035600,44095882,44113087,44151925,44667487,45020145,45204682,45305098,45327989,45360487,45455602,45714654,45715945,45873032,45961113,46135207,46373527,46468351,46531461,46853362,46952722,47002378,47170351,47392230,47400751,47597002,47663788,47745298,47820950,48021488,48035022,48215287,48287818,48342604,48525751,48748424,48752481,48779338,48963151,49073482,49146875,49540050,49806322,49903762,50066841,50108167,50232151,50483577,50551712,50721607,50846997,51046348,51240151,51318847,51357682,51436351,51447893,51553207,51607161,51839122,51935218,51963198,51983242,52079242,52315687,52391308,52649407,52701573,52842720,52941151,52982310,53044232,53107985,53754247,53758184,53843698,53891767,54024174,54210945,54310737,54330751,54397207,54505493,54694162,54835402,54841977,54859134,54976498,55513567,55633042,55679818,55896584,55913458,55926993,55994527,56053351,56141047,56217513,56239882,56285767,56365568,56472562,56514464,56562177,56611978,56708481,56870676,56890378,57036151,57089647,57116287,57184550,57222127,57385140,57481687,57633967,57725068,57808351,57825008,57930751,58003327,58044178,58051351,58181962,58217167,58331145,58548682,58780567,58845151,58951351,58976250,58993327,59055751,59448060,59449064,59674761,59736151,59914762,60051727,60281047,60328351,60451327,60457162,60477957,60555151,60655447,60669487,60692908,60772498,60832351,60922567,60935167,61172047,61210816,61248151,61266442,61330807,61445578,61473367,61579762,61591807,61677004,61709887,61713802,61723351,61736527,61857487,61860950,61881607,61932151,61939567,61950151,62000047,62013151,62017687,62023807,62031367,62070538,62219888,62375061,62603722,62653585,62736658,62883657,62897745,62908000,63002098,63411264,63578772,63707122,63729582,63780357,63963148,64265385,64320658,64582642,64754270,64887562,64938604,64974538,65053134,65219817,65365138,65631945,66242217,66510824,66700618,66880197,66914578,67090928,67335925,67469061,67907145,67936018,68189938,68229785,68245289,68497941,68549744,68621460,68862168,69135628,69367282,69576202,69997374,70007408,70200562,70532121,70614802,70738762,70771500,71003577,71315338,71318721,71337672,71375404,71479498,71847922,72052042,72240537,72337138,72434288,72459082,72966604,73187722,73196224,73355385,73389202,73496990,73514984,73550098,73670602,73750858,73945345,74025957,74233140,74256025,74311445,74341673,74470282,74708938,74824677,75065842,75182188,75184302,75477294,75489600,75619817,75868550,75893578,75898865,76525545,76592065,76714258,77118462,77218762,77469939,77682058,77705124,77864990,78028018,78245744,78322828,78590065,78601738,78758334,79008681,79133962,79182016,79346793,79700722,79963978,80254881,80376082,80387913,80488138,80522240,80725161,80803110,80826053,81153032,81305482,81416338,81457502,81488574,81495345,81627248,81637618,81744268,81875742,82099137,82151698,82345752,82407562,82699018,82704357,83242738,83459218,83474489,83495242,84105202,84650385,84852298,84925800,85064458,85205578,85291797,85437004,85628585,85732498,85942258,86189984,86429458,86568082,86928368,86989721,87360202,87406977,87599602,88008178,88026462,88030481,88036232,88109962,88196388,88211602,88248945,88734414,88784842,89079768,89088268,89107230,89173734,89186698,89189221,89320138,89587461,89691077,89818258,89919065,89976153,90012297,90293744,90312778,90476818,90536241,90587520,90771082,90790265,91042260,91078638,91193842,91235361,91297161,91581682,91678282,91830654,91838962,91907013,91910478,91976665,92506100,92604658,92638971,92699722,92731378,92794642,92889418,93110002,93437988,93486322,93892108,94108402,94132208,94293778,94308078,94754698,94785298,95047712,95120842,95378188,95424202,95514745,95541525,95966218,96026122,96324682,96384202,96626688,96663873,96963732,97034698,97111744,97473778,97493270,97793482,97794414,97880338,97909258,98009429,98226322,98253032,98566265,98854642,98998545,99024658,99040761,99278602,99374097,99682265,99838282,...,1540342413365344951933204579064531124469686366004590639374164415763354840964539441989451019952302809003066863004020985715358499076753077022080077482647963526262385964099217123053597489123805267565134602916689611678672362352972018780831916025735589946139407697368686061663758700053704636803378758596560000638222913180993081521439640318852992764866019330292795130772898905574285908464141792924080381388896321211050049005350319634929344113115623121961278329691313571566619462173034814086942525174996582251958217704692089408316405569589429746951846350684346942099775187829058684918189458801034880456306875883381445004661082838412933891682229617474200611006085211075962795632040920888436737696464902969380873964849183570081804821535150218139726302492530887377674947804778967396574887514135634798118909943260858325151477699389546562348752872397895118193383238659010052356612182055233436915379354355619529984294315146970318556099653276843196011232424823106921763179416329395744875439160028565384121438406333422368933911626287729135102011287788036190718076657680177696829588022235720732241027627380271088004467375282148992715915702851496422127767103793434246552417102493451145769540288584536541463421015814385580740303683589675960125264506503755719412490019097858428741293469412611808459000028939086825546810173113875249614424918907564399729158282066627365756206560448217640039761769997349509938104322732752431358390130101580967156488571158312613007982350926784374099202908487036119249921680662279423156312266582949168629204451808867671832526024144183004628995053665797171454053523395374436259425242928126325955312796126424673890927695026252109684366529478544310454962995057298447378535584742184388461746742776766565514976803623266299657608045728545766472736210928528421897405550959517007886909807525220120025527185081672439169145051282706015006890228898711329521676689354563634773962335826796134624495469246530439882472862368039683040222573997396199664049901964917630875997272610051510786773689948874950878838800844356848987203210771574525105463074979681753776315225772755700364848552884416651106168204051953651434266614860844101563101315775209412121592218666644835400620689596025223692588722376155393806987220864453399275455630647889496696479088256797517786258016823701957742225870272927784357877749869078188616602620446533540770477974315889281738558200628570443625597505632921189947649712652586598954877348845497412974364812225908598947081398641681227426074392976113037330083222862030979676789392063595759252498}
15753  7554128576585347198544689042821374402387048036556947768575440812: {62996,519387,613743,771211,802383,865535,896667,1038642,1085163,1101730,1322076,1337135,1431703,1542226,1573900,1604562,1888680,1903451,2014592,2045290,2091691,2124765,2203180,2266416,2422882,2454348,2549718,2643816,2657863,2863042,2974293,2988130,3147400,3152283,3339627,3461260,3540825,3585756,3714027,3743026,3776880,3901083,4028672,4090060,4153512,4181487,4248990,4497922,4532256,4672701,4741647,4834923,4845148,4908072,5021403,5098788,5114607,5347180,5521581,6138267,6167336,6416616,6921640,6938253,6973647,7218693,7353451,7611868,7786845,7807083,7901735,8259825,8305968,8367935,8453967,8663851,8810480,8915307,9283947,9344214,9482082,9833125,9911790,10041522,10178267,10387563,10504930,10572576,10625671,11121387,11278603,11449256,11562285,11799750,11894148,11945103,12239051,12333104,12376930,12433447,12586400,12605916,12858063,12880413,13010135,13131483,13393282,13764625,13874742,13885291,13934255,14130383,14159700,14223003,14404587,14852316,14867983,15103680,15179530,15185611,15317735,15333825,15582543,15612162,16015762,16083847,16110592,16112290,16124847,16356080,16517550,16576107,16721106,16936683,16953323,16991640,17206863,17377151,17618720,17780203,17926287,18124416,18164685,18198082,18215436,18381282,18400590,18464847,18647087,19115595,19133260,19271067,19334748,19360527,19375664,19426847,19448735,19627296,19663750,19725823,19807467,19821060,19836130,19944091,20343003,20389968,20900107,21041218,21142464,21144687,21233643,21248626,21265547,21464551,21624625,21693730,21721807,21731135,21797622,21944427,22080708,22119202,22299243,22476507,22554322,22879660,22938714,22959912,23273007,23338482,23596500,23673911,23785272,23803356,23891163,24051586,24086327,25161202,25169600,25387503,25400290,25650843,25829901,25908316,25949550,25997260,26032476,26077362,26264463,26342951,26720735,26758431,26971805,27218818,27298882,27313647,27455592,27679520,27836943,28098267,28191007,28315800,28429151,28921282,28968283,29141403,29614951,29627807,29834907,29870123,29873255,29934226,30203520,30355180,30440463,30480348,30613263,30887541,31139460,31153948,31196712,31577506,31598860,31804903,31855275,32017127,32064882,32114255,32217088,32220460,32366166,32421867,32672651,33022383,33178411,33215424,33382162,33978960,34346255,35096301,35236535,35413687,35555842,35689426,35847906,35976802,36211786,36244224,36306167,36325378,36346587,36426216,36569255,36610327,36770127,37011880,37023963,37367352,37647887,37659691,37918632,38121423,38226330,38309707,38374107,38531150,38537106,38542443,38664552,38793871,38870602,39103426,39298767,39382683,39446602,39666335,39856018,40138903,40204567,40387803,40702684,40774752,40889067,40979493,41047327,41215506,41306127,41638365,41639343,42018802,42038271,42251743,42253378,42283842,42304623,42654871,42658461,42763180,42885483,43051227,43222348,43389131,43497621,43547883,43878507,43883106,43952423,43961602,44126223,44200391,44232748,44292586,44414256,44497535,44505640,44621007,44707627,44785743,45032667,45067483,45371255,45530951,45607983,45784607,45871596,46176247,46198108,46237380,46345947,46413703,46679135,47038411,47397730,47599602,47707858,47789951,48060303,48223023,48267202,48417935,48851735,48909407,48909511,48943708,49035183,49278363,49319872,49356946,49450156,49521327,49865122,49871467,49966038,50068845,50596882,50794060,51315816,51481762,51858843,52017931,52099503,52420047,52900143,52904626,53059983,53157442,53185487,53396087,53397042,53406768,53559464,53618667,53823682,54442402,54445506,54489826,55044500,55241842,55408618,55484856,55570762,55920687,56014962,56019676,56056591,56394447,56473323,56507116,56868466,56877276,56988847,57103467,57287938,57341290,57417963,57730293,58101522,58196971,58622082,58704562,58750287,58811927,59530767,59579735,59981026,60026860,60082614,60254397,60428255,60619407,60747467,60935530,60952872,61161963,61171906,61256482,61281484,61316763,61394127,61422442,61955938,62041948,62089323,62420463,62772463,62943031,62964311,63189640,63301762,63380002,63601642,63807935,64023467,64046696,64086747,64325611,64707467,65003308,65489135,65720107,65764203,66053400,66143823,66257866,66305290,66755788,67067986,67147147,67197730,67311436,67391026,67795996,67807023,67957647,68038498,68183403,68465026,68571981,68809548,68886898,69123403,69179783,69284264,69551407,69828967,69870730,70113691,70268764,70280043,70429083,70456960,70503567,70643080,70730591,70818322,70942447,71008903,71088345,71395503,71423842,71495682,71617947,71676226,71731425,72032232,72052533,72156335,72281260,72411586,72414316,72431727,72513906,73121887,73122636,73145512,73169007,73344583,73610223,74310075,74311330,74552027,74569324,74709483,74855643,74956684,75416236,75611308,75683647,75827568,75866135,76062322,76513520,76569522,76609618,76921583,77031703,77036523,77096255,77577826,77661778,77758683,77774860,77902827,77944797,77974863,78019367,78118863,78144418,78276298,78313666,78586962,78619627,78635000,79007026,79264080,79403026,79473465,79566348,79601002,79953935,80003122,80420747,80637276,80765547,81036261,81173255,81514927,82041243,82084162,82188322,82253103,82288701,82365682,82464747,82607851,83048423,83080027,83138530,83166748,83169703,83449563,83519727,83685551,83840887,83844876,83863660,83870187,84359823,84492682,84548352,84708843,84771696,84917967,84972776,85040476,85098763,85181122,85289567,85306014,85335567,85687180,85776825,85942642,85971403,86077710,86163103,86419535,86587602,86737512,86959756,87066267,87200551,87272943,87509260,87823023,88230946,88322956,88464375,88705751,89172090,89173596,89219255,89403778,89515531,89696962,89872143,89958748,89970967,89985691,90123442,90382231,90542860,90685743,91039362,91141042,91158747,91208255,91280791,91330588,91460903,91495280,91545922,91816224,91893730,91899663,91952263,92168367,92313383,92369643,92398642,92515506,92570703,92791425,93105807,93307906,93329832,93559883,93845831,93905583,93977735,94042828,94104987,94362000,94503147,94671436,94967807,95091628,95116896,95368158,95382091,95560683,95594373,95657207,95944722,96320716,96434386,96480987,96873963,97104202,97131405,97331343,97407906,97461807,97579701,97806178,97806226,97807180,97903535,98047707,98701276,98816927,98868367,98977520,99766236,99881026,...,2310513620048017427899806868596796686704529549006885959061246623645032261446809162984176529928454213504600294506031478573037748615129615533120116223971945289393578946148825684580396233685707901347701904375034417518008543529458028171247874038603384919209111546053029092495638050080556955205068137894840000957334369771489622282159460478279489147299028995439192696159348358361428862696212689386120572083344481816575073508025479452394016169673434682941917494536970357349929193259552221130413787762494873377937326557038134112474608354384144620427769526026520413149662781743588027377284188201552320684460313825072167506991624257619400837523344426211300916509127816613944193448061381332655106544697354454071310947273775355122707232302725327209589453738796331066512421707168451094862331271203452197178364914891287487727216549084319843523129308596842677290074857988515078534918273082850155373069031533429294976441472720455477834149479915264794016848637234660382644769124494093617313158740042848076182157609500133553400867439431593702653016931682054286077114986520266545244382033353581098361541441070406632006701062923223489073873554277244633191650655690151369828625653740176718654310432876804812195131523721578371110455525384513940187896759755633579118735028646787643111940204118917712688500043408630238320215259670812874421637378361346599593737423099941048634309840672326460059642654996024264907156484099128647037585195152371450734732856737468919511973526390176561148804362730554178874882520993419134734468399874423752943806677713301507748789036216274506943492580498695757181080285093061654389137864392189488932969194189637010836391542539378164526549794217816465682444492585947671067803377113276582692620114165149848272465205434899449486412068592818649709104316392792632846108326439275511830364711287830180038290777622508658753717576924059022510335343348066994282515034031845452160943503740194201936743203869795659823709293552059524560333860996094299496074852947376446313995908915077266180160534923312426318258201266535273480804816157361787658194612469522630664472838659133550547272829326624976659252306077930477151399922291266152344651973662814118182388327999967253100931034394037835538883083564233090710480831296680098913183445971834245044718632385196276679387025235552936613338805409391676536816624803617282924903930669800311155716961473833922607837300942855665438396258449381784921474568978879898432316023268246119461547218338862898420622097962521841139111589464169555995124834293046469515184088095393638878747}
15754  7587449837519216557286803695792539370620776340286181524844409007: {78745,94494,267529,361813,409214,597854,692516,818324,1069844,1113493,1195556,1300693,1384856,1446884,1557963,1652595,1674229,1762768,1767433,1967375,1983114,2139416,2289134,2313339,2360850,2406843,2518240,2695513,2753975,2833020,3021888,3067935,3223694,3272464,3304770,3399624,3410174,3524629,3525088,3634323,3681522,3824577,3934250,3965724,3982729,4203044,4294563,4326575,4347913,4452836,4482195,4530073,4711502,4721100,4781008,4802773,4952036,5035840,5112575,5191890,5201444,5378634,5396419,5436553,5538016,5575316,5614539,5665320,6005774,6043008,6056435,6135090,6230268,6322196,6373485,6446564,6544096,6558302,6683975,6695204,6746883,6798384,6819476,7139029,7267722,7362108,7476302,7494133,7648182,7709170,7936393,8020770,8184356,8555488,8652050,8990473,9251004,9298196,9339529,9514835,9624924,9664814,9774229,9860953,10018099,10207129,10382460,10409444,10552153,10791466,11013100,11074624,11271956,11417802,11652734,11887076,11920729,12378596,12458952,12642776,12766729,12850933,12908702,13187029,13215720,13266254,13388696,13444814,13521973,13850084,13939033,14016321,14096768,14157614,14223123,14311570,14354293,14519893,14828516,14867685,14932633,15062283,15179413,15416380,15733000,15757395,15858864,15926804,16078729,16807888,16953706,16969333,17144084,17173884,17371273,17508644,17691529,17699625,17841222,18499656,18560414,18565395,18879600,18882229,18908874,18964004,19082702,19206116,19667029,19803088,19950302,20089923,20138240,20444629,20445100,20521993,20753653,20776724,20812113,20814302,20816216,21239550,21499796,21521173,22023400,22101476,22189214,22278474,22294808,22582244,22655520,22658953,22769295,22942484,23043854,23418243,23483029,23854729,23901716,23916575,24023643,24150793,24165888,24168435,24219580,24287248,24508376,24534120,24573134,24619796,24742334,24776325,24959029,25081659,25396213,25487460,25686229,25694756,25779664,25814036,25975093,26047129,26169728,26258654,26409956,26428080,26477833,27124004,27186624,27189913,27297123,27323154,27472729,27543253,27571923,27600885,28189952,28192916,28244533,28311524,28599575,28699890,29002122,29063496,29145433,29259236,29440944,29495625,29731590,29732324,29754195,29968676,30080702,30573614,30575029,30584952,30613216,30910729,31030676,31117976,31311193,31392254,31462000,31561827,31576729,31713696,31737808,31854884,31872939,32235529,32301013,32385395,32496575,32497033,32540595,32696433,32856734,33121062,33178803,33831483,33850004,34105333,34201124,34319490,34408071,34439868,34547593,34599400,34709968,34769816,34951502,35007723,35019284,35359573,35394750,35677908,35705034,35791753,36077379,36228494,36281353,36418196,36607456,36645529,36705973,36886873,37115924,37338302,37464356,37654094,37741803,37754400,37899733,37943975,38100435,38126702,38369173,38660233,38855204,38862474,38924325,38942435,38995890,39048714,39064693,39116043,39498575,39779876,40271360,40275575,40587284,40640464,40647253,40702729,40817684,40828227,40935134,40948323,41183388,41519280,41595616,41706974,42014702,42066229,42473700,42753176,42810133,43124629,43154888,43229156,43381923,43384729,43544702,43694473,44029844,44287232,44758334,44901339,45155029,45305280,45512174,45532770,45595993,45720522,45838453,46264850,46413013,46602229,46709190,46730922,46795068,46864531,47009054,47366259,47398290,47576713,47797208,48029593,48097323,48208729,48325632,48330690,48343934,48462116,48549249,48568288,48786302,49026836,49043893,49080494,49130293,49365284,49823136,49959614,50073243,50514313,50558176,50595673,50828564,50878355,50968440,50978702,51165476,51196693,51382808,51389924,51549529,51552736,51990734,52134734,52275253,52398356,52510244,52683529,53011093,53333763,53453975,53534139,53613913,53771859,53850404,53890393,53965203,54027935,54263029,54317679,54366336,54488067,54518756,54594229,54626953,54639324,54843374,54954008,55074836,55290935,55390729,55517820,55519124,55632050,55687934,55995529,56040859,56051028,56113033,56315893,56378456,56401753,56406164,56430229,56543413,56738713,56821333,56877948,56945054,57092053,57180644,57277273,57339495,57381529,57401636,57747635,57787033,57796725,57805659,57996828,58007029,58063844,58126729,58150453,58305903,58475029,58504676,58510808,58565173,58655139,58740302,58834964,58998613,59169903,59219008,59244853,59304793,59422729,59442133,59494676,59519029,59613529,59632213,59714324,59784027,60043556,60075913,60288853,60367513,60511214,60623731,60810644,60867733,60893653,61054026,61125529,61162128,61179635,61182229,61226293,61279753,61300633,61484629,61603573,61649840,61657753,61722229,61749013,61794596,61812695,61823259,61870729,61890313,61917529,61921813,61960693,61974229,61992373,62005513,62043529,62046553,62047129,62124302,62790302,63028203,63380067,63425763,63452702,63466136,63492575,64002323,64080404,64144770,64297364,64833522,65380244,65704484,65824659,65942403,66028436,66324494,66349122,66438879,66621384,66758460,66949330,68242574,68421088,68805625,68807394,69145124,69297162,69356070,69466004,69628574,69893396,70024595,70252814,70533524,70633895,70746644,70873454,71096595,71196056,71209024,71399403,71490494,71491556,71561787,72400803,72594008,73199054,73415562,73979808,74035419,74175234,74351179,74560916,74686616,74797683,74949057,75033575,75192596,75297764,75590894,75836368,75895323,75944702,76137956,76191090,76557284,76601855,76973724,77222643,77462894,77468696,77552435,78162776,78333716,78987050,79356939,79374356,79638014,79736163,79751054,80058370,80095563,80110152,80339196,80735523,80825876,81254135,81270496,81549284,81663603,81668259,81734739,81755684,81858836,82201502,82530254,82566750,82748702,82785764,82862763,82966574,83112927,83227284,83292302,83356143,83444735,83508734,84022443,84029514,84139295,84744995,84760674,85113614,85302699,85315914,85448996,85746494,85931907,85956302,86011935,86478302,86605330,87152283,87685604,87715019,87835955,87933123,88056843,88071200,88191764,88226174,88303850,89334974,89971539,90040290,90123921,90351575,90409364,90517895,90610196,90655978,90720974,90911204,91403295,91429308,91431890,91746064,91757859,91884723,91922226,92133663,92270414,92747054,92933907,92936702,93062922,93211655,93695855,93706724,93905444,94004756,94270295,94340702,94514135,94784460,94801502,94952643,95070003,95194004,95327576,95402463,95490596,95521699,95641900,96042976,96070044,96430574,96575636,96685208,97051502,97218575,97496848,97504962,97558676,97926302,98146964,98293750,99080100,99386799,99457935,99612644,99807524,...,3080684826730689903866409158129062248939372732009181278748328831526709681929078883978902039904605618006133726008041971430716998153506154044160154965295927052524771928198434246107194978247610535130269205833379223357344724705944037561663832051471179892278815394737372123327517400107409273606757517193120001276445826361986163042879280637705985529732038660585590261545797811148571816928283585848160762777792642422100098010700639269858688226231246243922556659382627143133238924346069628173885050349993164503916435409384178816632811139178859493903692701368693884199550375658117369836378917602069760912613751766762890009322165676825867783364459234948401222012170422151925591264081841776873475392929805938761747929698367140163609643070300436279452604985061774755349895609557934793149775028271269596237819886521716650302955398779093124697505744795790236386766477318020104713224364110466873830758708711239059968588630293940637112199306553686392022464849646213843526358832658791489750878320057130768242876812666844737867823252575458270204022575576072381436153315360355393659176044471441464482055254760542176008934750564297985431831405702992844255534207586868493104834204986902291539080577169073082926842031628771161480607367179351920250529013007511438824980038195716857482586938825223616918000057878173651093620346227750499228849837815128799458316564133254731512413120896435280079523539994699019876208645465504862716780260203161934312977142316625226015964701853568748198405816974072238499843361324558846312624533165898337258408903617735343665052048288366009257990107331594342908107046790748872518850485856252651910625592252849347781855390052504219368733058957088620909925990114596894757071169484368776923493485553533131029953607246532599315216091457091532945472421857056843794811101919034015773819615050440240051054370163344878338290102565412030013780457797422659043353378709127269547924671653592269248990938493060879764945724736079366080445147994792399328099803929835261751994545220103021573547379897749901757677601688713697974406421543149050210926149959363507552630451545511400729697105768833302212336408103907302868533229721688203126202631550418824243184437333289670801241379192050447385177444752310787613974441728906798550911261295778993392958176513595035572516033647403915484451740545855568715755499738156377233205240893067081540955948631778563477116401257140887251195011265842379895299425305173197909754697690994825948729624451817197894162797283362454852148785952226074660166445724061959353578784127191518504996}
15755  7620916924283612127423510708749477873464094667429483223574059194: {125992,141741,613821,865645,896781,1022905,1038774,1211749,1227486,1337305,1494445,1542422,1604766,1731070,1793334,1808605,1871989,1903693,2077284,2170326,2203460,2249533,2644152,2674270,2863406,2940949,2974671,3084452,3147800,3209124,3433701,3541275,3777360,3806902,4029184,4090580,4183382,4249530,4406360,4532832,4835541,4845764,4908696,4957155,5099436,5115261,5253805,5287632,5315726,5522283,5566045,5726084,5901375,5948586,5976260,6190045,6294800,6304566,6501805,6679254,6922520,6969145,7067253,7081650,7171512,7428054,7486052,7553760,7787835,7802166,7902745,8057344,8058205,8067951,8180120,8307024,8362974,8369005,8497980,8524345,8995844,9008661,9064512,9202635,9345402,9483294,9669846,9690296,9816144,9837453,10042806,10197576,10229214,10230445,10523293,10694360,10901583,11043162,11062429,11214453,11472273,11563755,11622745,11715109,12028861,12031155,12276534,12334672,12583813,12833232,12978075,13011805,13766375,13843280,13876506,13947294,14089945,14298493,14437386,14464333,14497221,14706902,14858845,15223736,15473245,15573690,15614166,15726037,15792781,15803470,16187199,16519650,16611936,16695349,16735870,16907934,17126703,17312605,17327702,17379373,17479101,17620960,17721253,17830614,17849269,18214189,18535645,18567894,18688428,18910069,18964164,19112701,19270475,19363053,19507957,19556701,19666250,19823580,19899381,19908505,19933093,20083044,20167221,20356534,20536633,20775126,21009860,21145152,21236421,21251342,21370477,21430105,21444829,21467355,21885805,21986413,22242774,22557206,22898512,22959001,23124570,23519749,23599500,23676937,23705005,23788296,23890206,24007645,24478102,24666208,24753860,24866894,25172800,25211832,25430559,25556375,25574413,25716126,25747453,25760826,25792009,25970905,26020270,26262966,26459077,26761833,26786564,26806237,26874745,27228229,27251869,27529250,27626845,27627973,27749484,27770582,27840621,27868510,27936733,28227805,28260766,28319400,28363311,28446006,28624053,28678105,28809174,28960537,29704632,29735966,29873941,29877145,29925453,30190309,30207360,30274475,30359060,30371222,30423589,30635470,30667650,30774745,31165086,31221453,31224324,31773757,31859325,32021221,32031524,32118445,32167694,32221184,32224580,32249694,32267545,32712160,33012445,33014773,33035100,33152214,33283821,33417711,33442212,33873366,33905005,33906646,33983280,34031353,34413726,34565781,34595149,34754302,34756789,35014681,35237440,35241145,35389405,35560406,35847277,35852574,36248832,36329370,36334729,36396164,36430872,36574045,36762564,36801180,36859701,36929694,37025101,37113501,37165405,37294174,37409029,37460845,37652701,37760527,38231190,38266520,38542134,38613133,38669496,38721054,38751328,38788345,38853694,38897470,39254592,39327500,39387981,39451646,39614934,39642120,39672260,39754693,39818605,39888182,40244293,40593781,40686006,40779936,40984731,41104669,41585689,41800214,41822557,42082436,42284928,42289374,42312505,42467286,42497252,42531094,42751405,42776173,42929102,42982309,43049835,43249250,43387460,43394677,43443614,43462270,43503183,43595244,43774105,43888854,43958041,43964377,44161416,44238404,44597385,44598486,44859949,44953014,44959957,45108644,45121053,45522745,45536773,45759320,45860421,45877428,45919824,46125013,46394905,46546014,46676964,46813513,46830445,47005813,47088381,47127949,47193000,47346037,47347822,47570544,47606712,47751973,47782326,48084757,48103172,48130093,48172654,48465757,48569005,48915661,49253509,49285101,49331149,49400437,49681593,49724845,49798573,50322404,50339200,50567353,50734105,50775006,50800580,51022105,51196957,51301686,51466297,51479235,51659802,51816632,51899100,51994520,52046809,52064952,52154724,52427253,52528926,52685902,53092125,53402941,53441470,53516862,53557551,53793949,53943610,54036445,54109081,54112813,54342741,54437636,54597764,54627294,54911184,55037305,55359040,55532869,55673886,55695349,55779901,56007453,56118733,56196534,56382014,56479033,56481141,56631600,56858302,57190053,57842564,57936566,58030477,58282806,58293711,58368181,58493835,58573071,59229902,59255614,59669814,59740246,59746510,59763253,59856949,59868452,60407040,60468601,60577645,60710360,60880926,60960696,61226526,61283545,61402701,61706605,61775082,61781437,61909261,62076949,62278920,62296549,62307896,62393424,62560461,63022053,63155012,63197720,63491209,63519757,63535705,63609806,63710550,63956845,64034254,64129764,64228510,64237405,64434176,64440920,64715893,64732332,64738813,64843734,65317053,65334277,65345302,65350789,65497945,65637805,66044766,66356822,66430848,66764324,67137501,67313005,67785109,67957920,68148445,68268261,68271613,68299155,68392429,68467909,68580783,68692510,68707981,68843545,69397275,69398905,70063785,70096383,70192602,70371877,70473070,70507705,70513581,70827374,70885657,71097435,71111684,71256469,71378852,71475805,71695812,71752045,71792461,71953604,72279433,72423572,72488448,72496035,72515901,72579805,72598933,72612334,72650756,72693174,72805849,72852432,73130845,73138510,73179453,73220654,73540254,73543705,73620741,74023760,74047926,74086429,74368345,74642905,74734704,74939421,75054445,75295774,75319382,75352237,75837264,76013305,76242846,76452660,76468053,76472461,76619414,76748214,76847749,77062300,77074212,77084886,77243245,77318581,77329104,77587742,77741204,77986101,78202101,78206852,78457429,78477949,78597534,78765366,78893204,78980089,79051837,79332670,79712036,80100505,80277806,80371705,80409134,80775606,81405368,81549504,81562549,81725305,81778134,81952357,81958986,82094654,82130605,82265061,82431012,82535545,82612254,83276730,83278686,83400013,83411629,83448075,83512153,83531901,83696293,84037604,84076542,84328453,84503486,84506756,84567684,84599557,84609246,85165021,85309742,85316922,85417581,85526360,85770966,85831897,85971181,86102454,86431405,86444696,86778262,86832505,86995242,87095766,87366745,87757014,87766212,87767773,87904846,87923204,88106941,88110453,88166905,88232329,88252446,88400782,88433305,88465496,88585172,88828512,88995070,89011280,89242014,89331109,89364445,89415254,89571486,89606317,90065334,90134966,90742510,90766821,90791509,91061902,91215966,91569214,91581039,91684789,91743192,91936693,92352494,92396216,92474760,92691894,92827406,93002989,93050749,93186453,93201145,93358270,93990745,94076822,94122205,94185453,94795460,94823389,95042701,95172445,95179053,95199204,95301613,95415716,95579902,95696605,96089629,96120606,96217155,96368413,96446046,96534404,96835870,97250283,97703470,97818814,97819022,97887416,97917145,98070366,98556726,98639744,98713892,98900312,98958037,99042654,99217945,99486741,99523683,99730244,99742934,99859813,99932076,...,4621027240096034855799613737193593373409059098013771918122493247290064522893618325968353059856908427009200589012062957146075497230259231066240232447943890578787157892297651369160792467371415802695403808750068835036017087058916056342495748077206769838418223092106058184991276100161113910410136275789680001914668739542979244564318920956558978294598057990878385392318696716722857725392425378772241144166688963633150147016050958904788032339346869365883834989073940714699858386519104442260827575524989746755874653114076268224949216708768289240855539052053040826299325563487176054754568376403104641368920627650144335013983248515238801675046688852422601833018255633227888386896122762665310213089394708908142621894547550710245414464605450654419178907477592662133024843414336902189724662542406904394356729829782574975454433098168639687046258617193685354580149715977030157069836546165700310746138063066858589952882945440910955668298959830529588033697274469320765289538248988187234626317480085696152364315219000267106801734878863187405306033863364108572154229973040533090488764066707162196723082882140813264013402125846446978147747108554489266383301311380302739657251307480353437308620865753609624390263047443156742220911050769027880375793519511267158237470057293575286223880408237835425377000086817260476640430519341625748843274756722693199187474846199882097268619681344652920119285309992048529814312968198257294075170390304742901469465713474937839023947052780353122297608725461108357749765041986838269468936799748847505887613355426603015497578072432549013886985160997391514362160570186123308778275728784378977865938388379274021672783085078756329053099588435632931364888985171895342135606754226553165385240228330299696544930410869798898972824137185637299418208632785585265692216652878551023660729422575660360076581555245017317507435153848118045020670686696133988565030068063690904321887007480388403873486407739591319647418587104119049120667721992188598992149705894752892627991817830154532360321069846624852636516402533070546961609632314723575316389224939045261328945677318267101094545658653249953318504612155860954302799844582532304689303947325628236364776655999934506201862068788075671077766167128466181420961662593360197826366891943668490089437264770392553358774050471105873226677610818783353073633249607234565849807861339600622311433922947667845215674601885711330876792516898763569842949137957759796864632046536492238923094436677725796841244195925043682278223178928339111990249668586092939030368176190787277757494}
15756  7654530470047667026791304353997649475091993974661224526667868185: {110243,157490,188988,267563,299003,361859,456083,535058,723626,818428,1144859,1195708,1385032,1394363,1558161,1636648,1674443,1705523,1767659,1841229,1984883,2139688,2139803,2226986,2313633,2325443,2391112,2407149,2596605,2601386,2690001,2695859,2754325,2769712,2893768,3065123,3115926,3255489,3305190,3348458,3525536,3534866,3555683,3855565,3934750,3966228,4011405,4074659,4278832,4295109,4378859,4578268,4626678,4721700,4813686,4833659,4894163,5036480,5113225,5391026,5507950,5666040,5710353,5737859,5827883,5887859,6043776,6057205,6097523,6135870,6275073,6374295,6447388,6544928,6609540,6783659,6799248,6820348,6872843,6991643,7049258,7050176,7139963,7157605,7268646,7317683,7363044,7436003,7470325,7649154,7868500,7931448,7965458,7966859,7973589,8406088,8465843,8479009,8553659,8589126,8641403,8653150,8695826,8905672,8922879,8964390,9060146,9195443,9340763,9357565,9369803,9423004,9442200,9456849,9562016,9605546,9904072,10018881,10071680,10150859,10225150,10294859,10383780,10402888,10622475,10757268,10792838,10873106,11076032,11097563,11142081,11150632,11154659,11229078,11244805,11330640,11581859,11703249,11780603,12011548,12086016,12092123,12112870,12270180,12346283,12460536,12544461,12644392,12746970,12796523,12893128,13048883,13088192,13116604,13188803,13320769,13367950,13390408,13493766,13596768,13638952,13774283,14018103,14224941,14278058,14439083,14504769,14535444,14714723,14724216,14879723,14952604,14988266,15017003,15064209,15208859,15290963,15296364,15343821,15418340,15872786,15945203,16041540,16162259,16351763,16368712,16432859,16513883,16564743,16971659,17110976,17304100,17373659,17640659,17773859,17960003,17980946,18414801,18489683,18502008,18596392,18679058,18884843,19029670,19042403,19249848,19329628,19548458,19669763,19721906,20036198,20214923,20414258,20473283,20524859,20764920,20782259,20814759,20818888,20920941,21104306,21582932,21656079,22006643,22026200,22060353,22133123,22149248,22385483,22435859,22543912,22611923,22737443,22812659,22835604,23305468,23360535,23421249,23511203,23705205,23774152,23841458,23882843,24178859,24473723,24620723,24757192,24779475,24917904,24986963,25103805,25285552,25361901,25399859,25533458,25701866,25817404,25991553,26002859,26050883,26074883,26262325,26374058,26431440,26532508,26745921,26777392,26889628,26909843,27043946,27429659,27476723,27500243,27700168,27828683,27851841,27878066,28032642,28193536,28248659,28315228,28318403,28446246,28527203,28623140,28708586,29011883,29039786,29103803,29172659,29499375,29584283,29657032,29735370,29857259,29865266,30124566,30309659,30358826,30534801,30602003,30803603,30832760,30870659,30942325,31162689,31382363,31466000,31514790,31581443,31717728,31853608,31877013,31933763,32157458,32240363,32567123,32697323,33364161,33483205,33557963,33615776,33835809,33907412,33938666,33983483,34131659,34288168,34300523,34347768,34686855,34699523,34742546,34804043,34866659,35017288,35178659,35323643,35383058,35385659,35399250,35447603,35682444,35756243,35797259,35835309,36042683,36164963,36246323,36307259,36610859,36651203,36717153,36852443,36999312,37120828,37130790,37300341,37312259,37550483,37759200,37764458,37817748,37846643,37928008,37948825,38165404,38258243,38412232,38574189,38641239,38917163,39030405,39319523,39334058,39394449,39414803,39585803,39606176,39869363,39900604,40039405,40057403,40179846,40207259,40263323,40276480,40280725,40337963,40449683,40672259,40727723,40889258,40890200,41043986,41095643,41278403,41293875,41314859,41496659,41507306,41532923,41553448,41624226,41628604,41632432,41655873,41802765,42126659,42304859,42391149,42479100,42605963,42669009,42999592,43042346,43044563,43149083,43213761,43409123,43701659,43821443,43872659,44046800,44076803,44127659,44202952,44262923,44378428,44556948,44589616,44603949,44765603,45164488,45179003,45311040,45317906,45339553,45408323,45457259,45495205,45538590,45556833,45619859,45700859,45813923,45862259,45884968,45953205,46001475,46087708,46150763,46373363,46420859,46468283,46578659,46747629,46766963,46836486,46966058,47124659,47462843,47630483,47709458,47782043,47803432,47833150,48047286,48082763,48231923,48251541,48301586,48331776,48336870,48365483,48374541,48439160,48574496,48747683,48922259,48965723,49016752,49066859,49068240,49146268,49159375,49181963,49239592,49484668,49552650,49590325,49665443,49707659,49728321,49777859,49918058,50163318,50359643,50536859,50739659,50766563,50792426,50810049,50859969,50974920,51205859,51297923,51372458,51389512,51558803,51559328,51571763,51597659,51620589,51628072,51726659,51790859,51950186,52094258,52131453,52146683,52339456,52483859,52517308,52582643,52603045,52693163,52819912,52856160,52955666,53121565,53128763,53212259,53247923,53307203,53340609,53530643,53588963,53778861,53797259,53911859,54234325,54248008,54340043,54373248,54379826,54494055,54519409,54594246,54646308,54713363,54832163,54875123,54945458,55035083,55086506,55143846,55201770,55298005,55308083,55394541,55401323,55432259,55534859,55857803,55917443,55941261,55986659,56016203,56133659,56326859,56379904,56385805,56385832,56422259,56489066,56623048,56703659,56977859,57112259,57130043,57199150,57271163,57346785,57392963,57399780,57530243,57673859,57773843,57813201,57856283,57946043,58004244,58026803,58081581,58126992,58138523,58240859,58256483,58280541,58290866,58303163,58346205,58357259,58487003,58518472,58562243,58673603,58783163,58826483,58881888,58947659,58991250,59017859,59052659,59177469,59303963,59422401,59463180,59464648,59499683,59508390,59626163,59644859,59688203,59706659,59737259,59755523,59815883,59832273,59937352,60088859,60128965,60161404,60243083,60291323,60307259,60349403,60427043,60477803,60562259,60649163,60885659,60949859,60958283,60970859,61029009,61032659,61044803,61120043,61139363,61147228,61150058,61169904,61199843,61226432,61251083,61325003,61365659,61388843,61424483,61471523,61498883,61501883,61545923,61593659,61620659,61628603,61641683,61659659,61739123,61765859,61803803,61821458,61827659,61887323,61910003,61936859,61946603,61953323,61972283,61979363,62005763,62019203,62026403,62032259,62036963,62055659,62059859,62060483,62061352,62062859,62062883,62235952,62622386,62700321,62784508,62903005,62924000,63123654,63153458,63427392,63434061,63475616,63500725,63700929,63709768,63745878,63796641,64393653,64471058,64602026,64770790,64873875,64993150,64994066,65081190,65165421,65193405,65392866,65713468,65833281,66242124,66357606,66897729,67429521,67662966,67700008,68047045,68210666,68247205,68402248,68638980,68816142,68879736,69095186,69198800,69419936,69539632,69819021,69903004,70015446,70038568,70719146,70789500,71021733,71229697,71355816,71410068,71583506,71673489,72154758,72258981,72303205,72456988,72562706,72836392,73214912,73291058,73411946,73773746,74231848,74676604,74835565,74928712,75308188,75483606,75508800,75639109,75799466,75887950,76162509,76200870,76253404,76738346,76952529,77320466,77407309,77489703,77710408,77724948,77848650,77884870,77991780,78097428,78129386,78232086,78793389,78943765,78997150,79028853,79559752,80162205,80275293,80542720,80551150,80846689,80915415,81174568,81280928,81294506,81405458,81635368,81656454,81870268,81896646,81940941,82366776,83038560,83191232,83413948,83455405,83510829,84029404,84132458,84294801,84573021,84947400,85287453,85506352,85620266,85651489,86249258,86309776,86458312,86537773,86763846,86769458,86904849,87089404,87388946,87424209,88059688,88574464,88844853,88883421,88889605,89223565,89504721,89516668,89610369,89619765,89802678,89942005,90310058,90529465,90610560,90813445,91024348,91065540,91191986,91321389,91441044,91676906,91839789,92529700,92662623,92826026,93204458,93418380,93461844,93590136,93729062,94018108,94732518,94796580,95153426,95414709,95565825,95594416,96051381,96059186,96194646,96327875,96342765,96417458,96651264,96661380,96687868,96924232,97098498,97136576,97176505,97265601,97572604,97758565,98017953,98034433,98053672,98087786,98160988,98260586,98616505,98730568,98887453,99067149,99535233,99640045,99646272,99919228,...,6931540860144052283699420605790390060113588647020657877183739870935096784340427488952529589785362640513800883518094435719113245845388846599360348671915835868180736838446477053741188701057123704043105713125103252554025630588374084513743622115810154757627334638159087277486914150241670865615204413684520002872003109314468866846478381434838467441897086986317578088478045075084286588088638068158361716250033445449725220524076438357182048509020304048825752483610911072049787579778656663391241363287484620133811979671114402337423825063152433861283308578079561239448988345230764082131852564604656962053380941475216502520974872772858202512570033278633902749527383449841832580344184143997965319634092063362213932841821326065368121696908175981628768361216388993199537265121505353284586993813610356591535094744673862463181649647252959530569387925790528031870224573965545235604754819248550466119207094600287884929324418161366433502448439745794382050545911703981147934307373482280851939476220128544228546472828500400660202602318294781107959050795046162858231344959560799635733146100060743295084624323211219896020103188769670467221620662831733899574951967070454109485876961220530155962931298630414436585394571164735113331366576153541820563690279266900737356205085940362929335820612356753138065500130225890714960645779012438623264912135084039798781212269299823145902929522016979380178927964988072794721469452297385941112755585457114352204198570212406758535920579170529683446413088191662536624647562980257404203405199623271258831420033139904523246367108648823520830477741496087271543240855279184963167413593176568466798907582568911032509174627618134493579649382653449397047333477757843013203410131339829748077860342495449544817395616304698348459236205778455949127312949178377898538324979317826535491094133863490540114872332867525976261152730772177067531006030044200982847545102095536356482830511220582605810229611609386979471127880656178573681001582988282898488224558842129338941987726745231798540481604769937278954774603799605820442414448472085362974583837408567891993418515977400651641818487979874929977756918233791431454199766873798457033955920988442354547164983999901759302793103182113506616649250692699272131442493890040296739550337915502735134155897155588830038161075706658809840016416228175029610449874410851848774711792009400933467150884421501767823511902828566996315188775348145354764423706936639695296948069804738358384641655016588695261866293887565523417334768392508667985374502879139408545552264286180916636241}
15757  7688291110708070531052727978461069871303920284115178895196838319: {236235,251984,283482,802587,1023035,1085439,1211903,1227642,1432067,1494635,1731290,1793562,1872227,2045810,2077548,2092223,2249819,2423498,2454972,2532047,2658539,2674610,2988890,3084844,3209532,3286943,3340479,3462140,3475667,3586668,3617210,3743978,3807386,3902079,4154568,4340652,4406920,4499066,4673889,4957785,5022687,5288304,5302299,5348540,5722835,5726812,5881898,5902125,5949342,6168904,6295600,6418248,6867402,6940017,7082550,7220529,7355327,7554720,7613804,7792463,8058368,8059235,8086539,8181160,8261925,8366764,8499060,8525435,8666063,8812720,9065664,9102527,9203805,9671082,9691528,9756803,9817392,9835625,9914310,10198872,10230522,10507610,10573887,10575264,10631452,10902969,11044566,11063843,11132090,11281487,11452168,11473731,11555423,11716607,11778755,11802750,11897172,11934083,11948187,11952520,12380090,12436619,12589600,12609132,12883689,12979725,13003610,13043739,13358508,13446585,13590219,13614623,13845040,13938290,14134506,14163300,14322623,14343024,14408319,14856108,14871779,14972104,15014435,15107520,15337725,15575670,15604332,15805490,16114688,16116410,16135902,16189257,16259123,16271843,16309659,16360240,16395755,16614048,16697483,16725948,16738010,16843617,16898219,16995960,17048690,17576159,17723519,17991688,18017322,18129024,18169305,18216527,18405270,18690755,18690804,18966588,19120455,19272925,19339692,19380592,19442747,19632288,19674906,19725923,19730867,19949183,20051925,20085612,20240649,20395152,20458428,20460890,20539259,20802383,20905439,20943299,21032723,21046586,21134783,21388720,21417087,21470027,21630125,21662543,21803166,21819743,22086324,22124858,22428906,22482399,22844303,22944546,23127510,23245490,23430218,23785043,23809179,23863103,24057722,24062310,24142847,24162035,24237647,24553068,24669344,25167626,25666464,25795307,25949903,25956150,26023610,26294819,26462459,26971419,26978665,27532750,27686560,27714923,27753012,27796067,27871907,27894588,27940319,28018587,28179890,28544505,28596986,28654943,28826363,28874772,28928666,28975679,28994442,29131835,29322687,29413804,29582859,29717690,30002147,30054297,30429323,30447472,30621387,30640127,30722987,30946490,31147380,31228332,31452074,31585562,31606940,31656459,31663007,32271755,32367659,32374398,33016139,33039300,33165635,33187007,33223872,33390698,33471740,33610703,33612035,33815868,34187963,34253406,34625210,34655404,34758746,34958202,35241920,35394035,35442506,35661228,35691419,35698538,35762187,35778925,35851859,36359267,36428378,36865163,37071290,37135788,37376856,37624643,37820138,37928328,38225402,38300187,38319503,38540950,38552799,38677583,38726106,38845823,39015914,39017459,39113402,39332500,39518927,39561087,39647160,39798762,39817010,39866186,40149347,40166088,40249439,40334442,40565919,40609403,40713068,41073266,41109923,41550252,41591027,41817099,41828003,42019720,42048963,42262547,42290304,42384265,42472842,42502684,42669369,42740954,42860210,42889658,42934710,42987803,43062879,43084643,43559679,43771610,43972826,44485548,44603055,44797899,44865683,44965823,45079007,45114412,45174563,45186849,45538239,45588047,45718643,45797024,45918002,46217423,46249140,46401035,46478123,46819499,46982819,46996403,47039498,47199000,47272185,47353874,47410010,47467007,47576592,47706755,47758079,47780412,47875043,48015290,48236187,48956204,49097099,49259807,49332416,49337603,49371659,49507720,49545167,49733788,49875755,50345600,50423664,50553659,50573819,50861118,50907999,51112750,51148826,51203663,51432252,51494906,51521652,51584018,51808223,51941810,52031567,52035755,52040540,52113819,52137503,52445183,52525932,52575203,52916159,52918154,53074587,53098875,53523666,53573128,53612474,53749490,54119759,54303683,54456458,54503738,54511379,55058500,55253690,55255946,55473035,55498968,55541164,55681242,55696185,55696667,55737020,55746047,55873466,56455610,56521532,56638800,56646687,56726622,56881019,56892012,57248106,57356210,57458483,57609635,57618348,57921074,58169963,58368203,58852859,59001087,59237507,59409264,59471932,59747882,59754290,59850906,59851967,60269769,60380618,60384323,60414720,60548950,60718120,60742444,60847178,61270940,61283747,61333887,61335300,61432835,61549490,61565979,61855835,62116763,62247743,62260959,62330172,62436339,62442906,62448648,63075419,63547514,63574667,63718650,63731843,63875723,64042442,64063048,64236890,64335388,64442368,64449160,64499388,64535090,64563519,64952867,65252867,65424320,65562623,65646635,66024890,66029546,66070200,66304428,66322139,66567642,66835422,66884424,66898943,67029083,67746732,67810010,67813292,67966560,67976859,67996607,68062706,68307885,68827452,68986499,69131562,69190298,69508604,69513578,69614783,69747683,70029362,70254729,70449087,70474880,70482290,70629299,70778810,70960763,71027747,71120812,71430947,71564187,71694554,71705148,71749725,71807807,72070929,72452379,72497664,72505305,72658740,72669458,72792328,72800159,72861744,72935819,73148090,73363667,73525128,73602360,73719402,73859388,73917503,74050202,74227002,74299583,74328975,74330810,74588348,74818058,74877087,74921690,75201755,75244977,75305402,75521054,75553487,75651023,75774323,75805259,76188639,76434035,76462380,76482419,76533040,76857803,77052227,77058687,77084268,77226266,77338992,77442108,77502656,77576690,77707388,77794940,77925279,78141387,78480635,78509184,78655000,78775962,78903292,78990227,79229868,79284240,79344520,79433499,79509386,79555919,79637210,79639583,79776364,79923923,80133083,80235587,80488586,80548943,81187562,81371243,81372012,81559872,81569739,81742463,81891369,81969462,82087067,82141835,82209338,82418187,82629759,82715769,82802655,83171378,83600428,83645114,84164872,84569856,84578748,84625010,84730403,84733599,84808703,84934572,84994504,85062188,85165859,85502810,85552346,85796963,85798725,85798739,85858204,85877699,85964618,86099670,86389247,86498500,86774920,86789354,86790527,86887228,86924540,86984003,87006366,87190488,87378755,87436299,87539663,87548210,87777708,87779039,87916082,87928754,88322832,88476808,88486875,88949987,89194770,89196972,89262585,89284523,89539583,89719898,89906028,89919914,89932367,90217288,90242106,90571235,90820067,91045490,91073546,91158143,91314803,91452383,91518640,91697123,91720842,91725087,91754856,91839648,91892927,92250026,92732187,92746667,92789810,93014927,93028763,93092028,93345755,93353928,93627026,93660890,93933579,94011626,94135235,94176762,94238207,94255898,94386000,94526459,94685481,94692074,94695644,94730187,95141088,95213424,95316755,95407823,95503946,95564652,95618817,95786063,95912147,96169514,96206344,96260186,96345308,96380963,96706587,96903039,96931514,97138010,97156185,97158467,97489725,97491099,97621785,97831322,98089299,98507018,98570202,98612603,98662298,98710787,98800874,98970923,99363186,99449690,99536409,99597146,99660899,...,9242054480192069711599227474387186746818118196027543836244986494580129045787236651936706119713816854018401178024125914292150994460518462132480464895887781157574315784595302738321584934742831605390807617500137670072034174117832112684991496154413539676836446184212116369982552200322227820820272551579360003829337479085958489128637841913117956589196115981756770784637393433445715450784850757544482288333377927266300294032101917809576064678693738731767669978147881429399716773038208884521655151049979493511749306228152536449898433417536578481711078104106081652598651126974352109509136752806209282737841255300288670027966497030477603350093377704845203666036511266455776773792245525330620426178789417816285243789095101420490828929210901308838357814955185324266049686828673804379449325084813808788713459659565149950908866196337279374092517234387370709160299431954060314139673092331400621492276126133717179905765890881821911336597919661059176067394548938641530579076497976374469252634960171392304728630438000534213603469757726374810612067726728217144308459946081066180977528133414324393446165764281626528026804251692893956295494217108978532766602622760605479314502614960706874617241731507219248780526094886313484441822101538055760751587039022534316474940114587150572447760816475670850754000173634520953280861038683251497686549513445386398374949692399764194537239362689305840238570619984097059628625936396514588150340780609485802938931426949875678047894105560706244595217450922216715499530083973676538937873599497695011775226710853206030995156144865098027773970321994783028724321140372246617556551457568757955731876776758548043345566170157512658106199176871265862729777970343790684271213508453106330770480456660599393089860821739597797945648274371274598836417265571170531384433305757102047321458845151320720153163110490034635014870307696236090041341373392267977130060136127381808643774014960776807746972815479182639294837174208238098241335443984377197984299411789505785255983635660309064720642139693249705273032805066141093923219264629447150632778449878090522657891354636534202189091317306499906637009224311721908605599689165064609378607894651256472729553311999869012403724137576151342155532334256932362841923325186720395652733783887336980178874529540785106717548100942211746453355221637566706147266499214469131699615722679201244622867845895335690431349203771422661753585033797527139685898275915519593729264093072984477846188873355451593682488391850087364556446357856678223980499337172185878060736352381574555514988}
15758  7722199484900725239624855078514927273065612239858285028776240972: {220486,299041,314980,377976,425223,487537,535126,598006,723718,912166,1070116,1238641,1447252,1519117,1636856,1705741,1841463,2171041,2289718,2356657,2391416,2449357,2596935,2690343,2770064,2788726,3068715,3096241,3116322,3273296,3348886,3411046,3535318,3635247,3682458,3856055,3969766,4011915,4279376,4279606,4327675,4453972,4483335,4627266,4650886,4743457,4782224,4814298,5106337,5193210,5202772,5380002,5391718,5397791,5425815,5508650,5539424,5615967,5648497,5711079,5787536,6098317,6130246,6231852,6277741,6510978,6610380,6685675,6696916,6725041,6748599,7051072,7069732,7111366,7158515,7436977,7614241,7711130,7869500,7932456,8022810,8149318,8232397,8480087,8557664,8590218,8671777,8757718,8822847,8924013,9156536,9253356,9371041,9443400,9517255,9627372,9667318,9788326,10020647,10072960,10226450,10301103,10458455,10623825,10782052,10927537,11015900,11332080,11420706,11475718,11655766,11775718,12087552,12114410,12122017,12195046,12271740,12376141,12550146,12748590,12894776,13089856,13100591,13219080,13289315,13469857,13567318,13598496,13640696,13745686,13887277,13983286,14098516,14100352,14279926,14315210,14506623,14537292,14634097,14635366,14726088,14871465,14872006,14940650,15046477,15298308,15345783,15737000,15742727,15761415,15862896,15930916,15933718,15947178,16516141,16566849,16698135,16812176,16931686,16958018,17107318,17178252,17282806,17306300,17391652,17482957,17704125,17811344,17845758,17928780,18120292,18390886,18518641,18570135,18681526,18715130,18739606,18755917,18846008,18884400,18913698,19071277,19124032,19149937,19211092,19505415,19808144,20037762,20143360,20301718,20450300,20589718,20767560,20805776,20907435,21201759,21244950,21514536,21585676,21746212,22152064,22195126,22284162,22301264,22309318,22458156,22489610,22661280,22765741,23163718,23363505,23406498,23561206,23708235,24023096,24172032,24174615,24184246,24203853,24225740,24477217,24540360,24624241,24692566,24921072,25088922,25107015,25288784,25493940,25573035,25593046,25786256,26078641,26097766,26176384,26233208,26377606,26641538,26735900,26780816,26937457,26987532,27025983,27193536,27277904,27504241,27548566,27607905,27856141,28036206,28449882,28554541,28556116,28878166,29009538,29039137,29070888,29383117,29429446,29448432,29512359,29759446,29905208,29976532,30034006,30065677,30128418,30417718,30581926,30592728,30687642,30691335,30741037,30836680,31409197,31475617,31569879,31745572,31806637,31890406,32083080,32324518,32703526,32704749,32737424,32788897,32865718,33027766,33129486,33187287,33563041,33643359,33943318,34221952,34416819,34608200,34691265,34747318,34830241,34868235,35145327,35281318,35547718,35761741,35920006,35961892,36086583,36093465,36190897,36767255,36797857,36829602,36979366,37004016,37192784,37358116,37457197,37751439,37769686,38059340,38084806,38283757,38459041,38499696,38633677,38659256,38865517,38934225,39035415,39096916,39339526,39440077,39443812,39508675,39894541,40007437,40072396,40344397,40429846,40828516,40844977,40946566,41049718,41120557,41175457,41299125,41529840,41564518,41629518,41637776,41839675,41841882,42208612,42269835,42524557,42630541,42895479,43051597,43165864,43312158,43312417,43319255,43392999,43491663,44013286,44052400,44120706,44266246,44298496,44576535,44689741,44770966,44871718,45087824,45223846,45474886,45625318,45671208,46397041,46419735,46491937,46610936,46721070,46842498,46876487,47022406,47178111,47240737,47378343,47410410,47470957,47548304,47682916,47765686,48357718,48561597,48770737,48947446,48988717,49165625,49241446,49514384,49558950,49835808,49973926,50086047,50207610,50258797,50300017,50571104,50708257,50723802,50789041,50799718,50891335,51066916,51069517,51307117,51380109,51403732,51581041,51634808,51937815,51983106,52005718,52101766,52138119,52149766,52437303,52524650,52604557,52748116,52862880,53065016,53128355,53163759,53491842,53547807,53554784,53610541,53714977,53779256,53819686,54087892,54361357,54394657,54461041,54642567,54859318,54953446,55000486,55045537,55329037,55400336,55606935,55657366,55703682,55756132,56055167,56065284,56115277,56387072,56393015,56497318,56630456,56636806,56730207,56797837,56892492,57054406,57096817,57150241,57246280,57282541,57338103,57417172,57541741,57718897,57811425,57867937,57965857,57990157,58023766,58079572,58089159,58207606,58345318,58523871,58670103,58685677,58838641,58998750,59168566,59296417,59314064,59415217,59470740,59698143,59700877,59714518,59725515,59730532,59774317,59792497,59799279,59952877,60124237,60249132,60367777,60383437,60460657,60501663,60619318,60667297,60709741,60717652,60976141,61062577,61069602,61195255,61204006,61300717,61352737,61373041,61422541,61516141,61560241,61585837,61607206,61609899,61643041,61665520,61666477,61739917,61741318,61818541,61884650,61926541,61961677,61969741,61995697,62034541,62046241,62059597,62078641,62167235,62325378,62764726,62932000,63029580,63162886,63435456,63693287,63707216,63709263,63754026,63867526,64111431,64290315,64314916,64334487,64402065,64480726,65050675,65134246,65394646,65657415,65959239,66728322,66966410,67115926,67231552,67671618,67814824,67877332,67966966,68263318,68576336,68601046,68695536,68823125,68877003,69373710,69399046,69426455,69485092,69608086,69671275,69733318,70034576,70357318,70559247,70647286,70651915,70766116,70771318,70798500,70895206,71030811,71115015,71364888,71512486,71594518,71670618,72022935,72085366,72329926,72492646,72614518,73221718,73302406,73434306,73644263,73704886,73998624,74241656,74261580,74339915,74370191,74600682,74624518,75100966,75518400,75528916,75635496,75693286,75856016,75897650,75928055,76291677,76330808,76516486,76588675,76669125,76723239,76824464,77148378,77242359,77282478,77376027,77417207,77834326,77912715,78060810,78639046,78668116,78788898,78829606,78940127,79171606,79212352,79377231,79738726,79801208,80078810,80114806,80285499,80359692,80414518,80418711,80419235,80526646,80552960,80561450,80624235,80675926,80899366,81344518,81455446,81684687,81755607,81778516,81780400,82087972,82191286,82556806,82587750,82629718,82880535,82883919,82993318,83014612,83065846,83106896,83248452,83257208,83264864,83311746,83521863,83605530,83810199,84180551,84253318,84609718,84683415,84766615,84782298,84958200,85089933,85211926,85338018,85872159,85999184,86034315,86084692,86089126,86298166,86427522,86818246,86881611,86885755,87403318,87642886,87745318,88064207,88093600,88153606,88255318,88405904,88525846,88756856,88901015,89113896,89179232,89207898,89531206,89621823,89631435,89776359,90328976,90358006,90570927,90622080,90635812,90679106,90816646,90823425,90914518,90990410,91077180,91113666,91239718,91270767,91401718,91627846,91724518,91769936,91906410,92002950,92175416,92301526,92324235,92746726,92841718,92936566,93157318,93235435,93495258,93533926,93664359,93672972,93932116,94249318,94925686,95260966,95265863,95321271,95418916,95546087,95564086,95577975,95606864,95666300,96063663,96094572,96165526,96355335,96463846,96503082,96603172,96663552,96673740,96730966,96749082,96802635,96878320,97134235,97148992,97243675,97495366,97844518,97931446,98033504,98133718,98136480,98292536,98318750,98363926,98479184,98629115,98969336,99037335,99044319,99105300,99180650,99330886,99415318,99456642,99555718,99720455,99836116,99851463,...,13863081720288104567398841211580780120227177294041315754367479741870193568680854977905059179570725281027601767036188871438226491690777693198720697343831671736361473676892954107482377402114247408086211426250206505108051261176748169027487244231620309515254669276318174554973828300483341731230408827369040005744006218628937733692956762869676934883794173972635156176956090150168573176177276136316723432500066890899450441048152876714364097018040608097651504967221822144099575159557313326782482726574969240267623959342228804674847650126304867722566617156159122478897976690461528164263705129209313924106761882950433005041949745545716405025140066557267805499054766899683665160688368287995930639268184126724427865683642652130736243393816351963257536722432777986399074530243010706569173987627220713183070189489347724926363299294505919061138775851581056063740449147931090471209509638497100932238414189200575769858648836322732867004896879491588764101091823407962295868614746964561703878952440257088457092945657000801320405204636589562215918101590092325716462689919121599271466292200121486590169248646422439792040206377539340934443241325663467799149903934140908218971753922441060311925862597260828873170789142329470226662733152307083641127380558533801474712410171880725858671641224713506276131000260451781429921291558024877246529824270168079597562424538599646291805859044033958760357855929976145589442938904594771882225511170914228704408397140424813517071841158341059366892826176383325073249295125960514808406810399246542517662840066279809046492734217297647041660955482992174543086481710558369926334827186353136933597815165137822065018349255236268987159298765306898794094666955515686026406820262679659496155720684990899089634791232609396696918472411556911898254625898356755797076649958635653070982188267726981080229744665735051952522305461544354135062012060088401965695090204191072712965661022441165211620459223218773958942255761312357147362003165976565796976449117684258677883975453490463597080963209539874557909549207599211640884828896944170725949167674817135783986837031954801303283636975959749859955513836467582862908399533747596914067911841976884709094329967999803518605586206364227013233298501385398544262884987780080593479100675831005470268311794311177660076322151413317619680032832456350059220899748821703697549423584018801866934301768843003535647023805657133992630377550696290709528847413873279390593896139609476716769283310033177390523732587775131046834669536785017335970749005758278817091104528572361833272482}
15759  7756256234012453669758928688179168289413520933729955346839687284: {330729,393725,472470,503968,566964,802689,897009,1085577,1337645,1368249,1432249,1605174,1809065,1904177,2046070,2092489,2170878,2423806,2455284,2658877,2864134,2941697,2989270,3434577,3462580,3587124,3744454,3884569,4091620,4155096,4183089,4184446,4499638,4674483,4846996,4909944,5023329,5064094,5116569,5302977,5317078,5349220,5523687,5567465,5954649,5977780,6169688,6419064,6419409,6503465,6573886,6680958,6924280,6940899,6951334,6976329,7173336,7221447,7234420,7487956,7614772,7789815,7804158,8011969,8070003,8087577,8262975,8309136,8371145,8681304,8813840,8837165,8998132,9195369,9347778,9766467,9836875,9915570,10045374,10576608,10604598,10667049,10697080,11282929,11445670,11453624,11566695,11763796,11804250,11898684,11935609,12034215,12223977,12337808,12591200,12836496,12885327,13136577,13477565,13656409,13734804,13769875,13880034,14165100,14441058,14500977,14682489,14710654,15109440,15227608,15339675,15584926,15730049,16090009,16116736,16118470,16173078,16362320,16490257,16523850,16733528,16998120,17050870,17131059,17213577,17332126,17383817,17483649,17623145,17625440,17663577,18131328,18171615,18171961,18205054,18292569,18407610,18409457,18825219,18914897,19117577,19122885,19342164,19383056,19513606,19634784,19671250,19733389,19828620,19913645,20350977,20397744,20461044,20618529,20945977,20974929,21015220,21020209,21147774,21150528,21262904,21375929,21419889,21472815,21632875,21730129,21739565,21805938,21953049,22089132,22127686,22264180,22308009,22410975,22562974,22650365,22904336,22947462,22954057,23110846,23433214,23507161,23557510,23605500,23794344,23868166,23896374,23900577,23905040,23920767,24013865,24760180,24873238,24945289,25179200,25218264,25397529,25437027,25562875,25660977,25767378,25786969,25924209,25959450,26007220,26087478,26167057,26717016,26768637,26813081,26855597,26893170,26982095,27180438,27182765,27229246,27586329,27690080,27876580,28022289,28072695,28109409,28201849,28269012,28326600,28370547,28622297,28645246,28686048,28816638,28830049,29626297,29712216,29743558,29944208,30023309,30028870,30056643,30198017,30215040,30282175,30452577,30655361,30675450,30884577,31151340,31208664,31610980,31867425,32029409,32229376,32232820,32271804,32378514,32518246,32527897,32543686,32619318,32720480,32791510,33020377,33228096,33292689,33394966,33419875,33426243,33451896,33463977,33476020,33687234,33699017,33734415,33796438,33826849,33991920,34097380,34745577,35109747,35152318,35341809,35346877,35447038,35695145,35983376,36034644,36258048,36276369,36338610,36433054,36810540,37038849,37381510,37381608,37470665,37633383,37662329,37770131,37933176,38240910,38324401,38389569,38462969,38545850,38679384,38761184,38885494,39146649,39264576,39349812,39451846,39461734,39566409,39681965,39898366,39962307,40103850,40171224,40369421,40481298,40784569,40790304,40916856,40921780,41078518,41202241,41322849,41604766,41810878,41886598,42054309,42065446,42093172,42267949,42269566,42674823,42777440,42787217,42834174,42940054,43260250,43317249,43325086,43514307,43606332,43639486,44144169,44172648,44249716,44639169,44857812,44952365,44964798,45051009,45084769,45180457,45192627,45548417,45626577,45688606,45724489,45777341,45788429,45872889,45889092,46031463,46255020,46431889,46484089,46490980,46697645,46860436,47056849,47570086,47574175,47618358,47726206,47808497,47835609,48115444,48124620,48285694,48324070,48475294,48486777,48871145,48928169,49055289,49103377,49106136,49298577,49304765,49338688,49541649,49551649,49694229,50090495,50335252,50494097,50914977,51035645,51332928,51590614,51899806,51912300,52047220,52120977,52194017,52589638,52760765,52776601,52921977,52924918,53321577,53507401,53880009,53942838,53957330,54446321,55065500,55244403,55373120,55429846,55469049,55506024,55592134,55743814,55789176,55880638,56037174,56359780,56654529,57030221,57089010,57127209,57193972,57309886,57652726,57749544,57857332,57951358,57988884,58263670,58645374,58760521,58785617,58827608,59009289,59165718,59337971,59435380,59524009,59603645,59800529,60004294,60108594,60644769,60858646,60894944,60968729,61242774,61280254,61419849,61421137,61445974,61574577,61617049,61892980,62294760,62346777,62444277,62456664,62762823,62904148,63171124,63213880,63312918,63326014,63833645,64254665,64543510,64735318,64748796,64961449,64968237,65146849,65469881,65721161,65935145,66019929,66032278,66078600,66181059,66331270,66374014,66399369,66447744,66781396,66789457,66943480,67156449,67221406,67224070,67307577,67325501,67488361,67609865,67631736,67835769,68212329,68375926,68437977,68506812,69250420,69310808,69517492,69695165,69826057,69916404,70081605,70263747,70483840,70533609,70651361,70758029,70788070,70885012,71115615,71322456,71382838,71397076,71524374,71557850,71648529,71703718,71771465,72536577,72599465,72718534,72850057,72856756,73150009,73421169,73730326,73857197,73862169,74142580,74271576,74338425,74543677,74663165,74753712,74960889,75249286,75267961,75311415,75561761,75640276,75856656,75897065,76085703,76199577,76392529,76450804,76600374,76639006,77081900,77105598,77355166,77452212,77520377,77662249,77691646,77974659,78008577,78031828,78034918,78152649,78224649,78226804,78665000,78786975,79037854,79122174,79216189,79294320,79597524,79634020,79732372,80143369,80237763,80298694,80332176,80393645,80452361,80498878,80653489,80668884,80725241,80729529,81131838,81218806,81426136,82146532,82219846,82288977,82430169,82500729,83100504,83182054,83486049,83555523,83634198,83656006,84039440,84097926,84525094,84580608,84745977,84768530,84846665,84945684,84955209,85005368,85187009,85338738,85481908,85581609,85720420,85779316,85869420,85975606,86005969,86125758,86169286,86196877,86598169,86856365,87035649,87119358,87265937,87311409,87357049,87517977,87518477,87543220,87945652,88457645,88498125,88752849,88971096,89206110,89571777,89595798,89731366,89931646,90005569,90158014,90228824,90349126,90373698,90831949,90928977,91076478,91176094,91437286,91594048,91604403,91744369,91806009,91836004,91905289,92311117,92410809,92434846,92498280,92611977,92802070,92826975,92956246,93488067,93596177,93638998,93836329,93882449,93965638,93992806,94078996,94147089,94398000,94411145,94544370,94707748,94744329,94820020,94934014,95111021,95153184,95413510,95516158,95560824,95631039,95694329,95750086,95801289,95932217,96030580,96472374,96604729,96721089,97365841,97701369,97894577,97912408,98091969,98194198,98335145,98519614,98664832,98675206,98743318,99015440,99090334,99467576,99751510,99816761,...,20794622580432156851098261817371170180340765941061973631551219612805290353021282466857588769356087921541402650554283307157339737536166539798081046015747507604542210515339431161223566103171371112129317139375309757662076891765122253541230866347430464272882003914477261832460742450725012596845613241053560008616009327943406600539435144304515402325691260958952734265434135225252859764265914204475085148750100336349175661572229315071546145527060912146477257450832733216149362739335969990173724089862453860401435939013343207012271475189457301583849925734238683718346965035692292246395557693813970886160142824425649507562924618318574607537710099835901708248582150349525497741032552431993895958902276190086641798525463978196104365090724527944886305083649166979598611795364516059853760981440831069774605284234021587389544948941758878591708163777371584095610673721896635706814264457745651398357621283800863654787973254484099300507345319237383146151637735111943443802922120446842555818428660385632685639418485501201980607806954884343323877152385138488574694034878682398907199438300182229885253872969633659688060309566309011401664861988495201698724855901211362328457630883661590467888793895891243309756183713494205339994099728460625461691070837800702212068615257821088788007461837070259414196500390677672144881937337037315869794736405252119396343636807899469437708788566050938140536783894964218384164408356892157823338266756371343056612595710637220275607761737511589050339239264574987609873942688940772212610215598869813776494260099419713569739101325946470562491433224488261814629722565837554889502240779529705400396722747706733097527523882854403480738948147960348191142000433273529039610230394019489244233581027486348634452186848914095045377708617335367847381938847535133695614974937953479606473282401590471620344616998602577928783458192316531202593018090132602948542635306286609069448491533661747817430688834828160938413383641968535721043004748964848695464673676526388016825963180235695395621444814309811836864323811398817461327243345416256088923751512225703675980255547932201954925455463939624789933270754701374294362599300621395371101867762965327063641494951999705277908379309546340519849947752078097816394327481670120890218651013746508205402467691466766490114483227119976429520049248684525088831349623232555546324135376028202800401452653264505303470535708485700988945566326044436064293271120809919085890844209414215075153924965049766085785598881662696570252004305177526003956123508637418225636656792858542749908723}
15760  7790462002192754486700053285792466668668420206515011714724531590: {173239,361951,440972,456199,598082,629960,708705,755952,850446,975074,1070252,1196012,1394719,1447436,1768111,1824332,2047399,2140232,2407761,2477282,2788999,2894504,2973679,3038234,3069105,3256317,3273712,3411482,3617791,3635709,3682926,4075711,4296201,4328225,4342082,4483905,4531831,4579436,4713314,4782832,4895431,4898714,5114525,5193870,5348311,5380686,5398477,5528959,5540128,5577452,5616681,5889391,6058745,6137430,6158959,6192482,6232644,6276669,6546592,6606799,6686525,6697772,6749457,6822092,7052839,7070636,7270494,7364916,7472225,7497079,7596141,7712110,7939532,7975617,8023830,8558752,8559212,8655350,8906551,8907944,8966670,9043025,9081439,9254532,9301772,9359945,9486914,9518465,9564448,9628596,9860829,9864871,9951559,10021437,10021921,10211191,10212674,10297591,10386420,10405544,10427001,10760004,10783436,10795582,10851630,11017300,11078848,11157631,11231934,11247665,11296994,11422158,11575072,11706237,12095359,12196634,12260492,12264919,12463704,12555482,12856111,13021956,13108399,13220760,13324157,13371350,13393832,13450082,13497198,13777999,14021667,14027911,14102144,14139464,14222732,14317030,14442991,14641837,14704745,14873355,14873954,14938711,15021079,15068061,15228482,15422260,15595639,15739000,15864912,15906897,16003879,16045620,16166671,16298636,16464794,16960174,17115328,17168505,17180436,17343554,17515436,17645694,17698831,17706375,17778751,17848026,18313072,18506712,18605041,18742082,18886800,19034510,19254744,19334636,19576652,19753351,20041294,20145920,20452900,20530591,20602206,20607919,20820051,20916910,20932637,21247650,21530239,21564104,21661587,21855074,22031800,22063471,22065981,22442191,22664160,22668559,22743871,22841412,22951436,23311532,23377389,23551436,24013159,24175104,24177705,24228820,24244034,24259617,24390092,24543480,24752282,24785775,25100292,25497180,25576305,25697311,25789552,25998189,26058391,26179712,26201182,26269025,26345959,26438160,26578630,26703799,26939714,27134636,27196992,27272599,27281392,27307581,27484711,27491372,27555271,27611415,27774554,27830225,27966572,27977119,28197032,28200704,28256911,28326679,28465999,28559852,28630420,28813039,29013246,29074584,29158279,29268194,29270409,29270732,29452176,29506875,29742930,29744012,29881300,29911471,30092954,30250951,30596616,30655951,30691566,30924511,30950225,31058359,31391719,31474000,31485454,31522830,31721661,31725792,31861832,31867436,31894356,31987231,32315551,32509025,32576911,32708907,33032282,33133698,33191529,33396270,33482599,33610831,33624352,33844461,33863372,33916036,34214636,34310959,34356504,34421193,34563391,34565612,34612600,34666269,34783304,34814671,34845725,34965914,35149821,35336265,35375839,35408250,35622688,35691516,35802249,35808271,35844561,35857560,36053791,36240584,36298159,36480679,36662551,36723031,36781772,36904039,37037282,37140270,37309857,37363052,37430260,37479212,37511834,37680919,37692016,37768800,37827396,37976479,38142554,38248064,38299874,38422184,38651067,38939175,39010830,39131217,39140719,39427279,39513725,39616288,40075524,40107679,40286720,40291025,40339755,40388119,40603436,40722271,40770657,40843869,40900600,41179436,41328151,41535120,41546311,41611552,41654959,41814870,41845025,42140311,42403518,42489900,42621725,42831079,42967869,43029072,43171352,43197991,43224957,43406071,43492424,43921231,44277559,44304128,44390252,44568324,44602528,44615337,44618636,44780479,44916312,44979220,45043305,45276199,45322560,45531482,45618919,45716191,45861559,45958111,46013175,46327436,46483999,46625911,46727010,46812996,47122412,47416470,47646799,48009391,48046192,48099319,48344064,48349230,48368492,48407706,48451480,48567771,48632839,48777369,48815529,48852079,48928977,48954434,49069519,49080720,49187265,49199119,49248482,49385132,49541551,49626439,49842144,49921279,50046559,50092449,50177844,50214030,50530851,50541199,50577568,50694657,50784631,50985511,50987880,51146070,51152225,51186092,51224191,51474157,51572512,51616231,51809551,51924679,52001071,52157282,52190791,52195532,52352768,52466416,52527751,52616465,52728477,52755212,53040319,53076391,53170557,53283076,53471800,53561632,53874914,53920519,53975064,54051966,54091159,54387072,54507915,54555808,54625111,54649581,54657871,54755719,55008482,55077199,55097132,55215810,55235239,55297951,55312145,55422511,55453471,55607191,55712282,56028031,56072265,56072412,56291119,56434759,56463271,56854879,56899764,57109082,57112232,57152671,57205879,57311431,57361365,57756332,57818775,58019076,58078274,58113725,58141776,58185871,58280191,58328241,58575545,58601239,58766234,58858892,58896864,59024718,59035399,59177769,59180551,59192601,59342119,59479711,59499079,59518892,59556751,59594839,59670151,59688799,59810416,59847549,59871319,59953064,60046639,60068012,60131354,60144305,60155775,60247519,60256836,60328159,60453439,60646957,60704359,60721947,60746479,60835436,60842239,60908479,60985591,61132039,61155439,61163852,61185456,61278991,61342711,61353079,61375284,61382670,61452799,61482074,61562959,61614151,61617777,61673360,61693711,61792999,61939951,61962631,61966951,61971199,61979479,62009719,62038231,62041039,62051551,62058679,62091151,62092879,62093671,62094391,62407149,62716317,62818394,62829897,62919065,62951234,63098169,63139758,63404349,63491144,63613274,63780812,64166160,64251261,64410081,64649036,64890375,64987629,65059025,65407052,65409498,65459229,65474848,65577794,65731436,66055532,66258972,66374574,67126082,67286718,67447197,67886636,68443904,68532909,68831875,68833638,69216400,69382530,69494636,69660482,69736470,70290654,70449725,70562636,71095436,71247869,71355129,71427537,71492465,71523482,71589309,71840012,71923784,72173166,72186930,72321665,72381794,72428541,72486105,72712941,73534510,73595714,73659204,73958732,74008032,74294225,74379697,74385568,74716232,74914394,75502878,75539372,76118680,76169612,76567514,76918082,76999392,77267354,77318512,77366225,77385921,77731034,77849709,77868450,78070830,78193832,78630185,78679052,78880154,78884457,78887624,78950221,78963905,79017350,79387377,79789082,80014874,80144792,80688794,80859692,80914257,80935995,81657032,81689954,81893132,82099436,82241114,82350914,82598250,83059680,83129036,83144769,83259036,83275552,83388201,83476745,83615721,83679350,83683764,83820957,84055761,84417224,84539670,85049114,85261082,85633515,85673357,85790958,85964829,86103194,86331728,86479089,86563025,86624316,86624834,86638510,86785998,86896865,86927037,86983326,87034129,87395505,87968061,88026572,88104800,88241412,88532492,88596992,88606265,88748577,89153070,89246345,89379482,89541932,89743436,90006441,90162891,90175648,90447692,90949772,91070945,91250636,91287969,91342416,91864161,91920381,92168961,92678225,92794082,92839470,92983874,93221872,93442140,93684996,93752974,94044812,94356222,94481474,94550345,94756686,94820820,94941914,94969377,94989021,95096608,95365832,95531372,95563505,96352375,96715436,96815265,97102977,97123194,97197037,97539785,97541474,97783505,97894892,97977434,98331250,98482892,98912681,99028768,99048417,99117900,99496905,99542525,99561021,99665465,99671616,99947852,...,27726163440576209134797682423161560240454354588082631508734959483740387137361709955810118359141450562055203534072377742876452983381555386397441394687663343472722947353785908214964754804228494816172422852500413010216102522353496338054974488463240619030509338552636349109947656600966683462460817654738080011488012437257875467385913525739353869767588347945270312353912180300337146352354552272633446865000133781798900882096305753428728194036081216195303009934443644288199150319114626653564965453149938480535247918684457609349695300252609735445133234312318244957795953380923056328527410258418627848213523765900866010083899491091432810050280133114535610998109533799367330321376736575991861278536368253448855731367285304261472486787632703926515073444865555972798149060486021413138347975254441426366140378978695449852726598589011838122277551703162112127480898295862180942419019276994201864476828378401151539717297672645465734009793758983177528202183646815924591737229493929123407757904880514176914185891314001602640810409273179124431836203180184651432925379838243198542932584400242973180338497292844879584080412755078681868886482651326935598299807868281816437943507844882120623851725194521657746341578284658940453325466304614167282254761117067602949424820343761451717343282449427012552262000520903562859842583116049754493059648540336159195124849077199292583611718088067917520715711859952291178885877809189543764451022341828457408816794280849627034143682316682118733785652352766650146498590251921029616813620798493085035325680132559618092985468434595294083321910965984349086172963421116739852669654372706273867195630330275644130036698510472537974318597530613797588189333911031372052813640525359318992311441369981798179269582465218793393836944823113823796509251796713511594153299917271306141964376535453962160459489331470103905044610923088708270124024120176803931390180408382145425931322044882330423240918446437547917884511522624714294724006331953131593952898235368517355767950906980927194161926419079749115819098415198423281769657793888341451898335349634271567973674063909602606567273951919499719911027672935165725816799067495193828135823683953769418188659935999607037211172412728454026466597002770797088525769975560161186958201351662010940536623588622355320152644302826635239360065664912700118441799497643407395098847168037603733868603537686007071294047611314267985260755101392581419057694827746558781187792279218953433538566620066354781047465175550262093669339073570034671941498011516557634182209057144723666544964}
15761  7824817436365608578723617291363600677045118504973715474581193473: {15761,551215,661458,787450,897123,944940,1007936,1133928,1275669,1337815,1462611,1495015,1605378,1794018,1809295,1872703,1904419,2171154,2250391,2280415,2532691,2675290,2736498,2864498,2942071,3210348,3287779,3476551,3618130,3715923,3808354,3978931,4092140,4184978,4341756,4545103,4557351,4847612,4910568,5117223,5317754,5524389,5724295,5728268,5883394,5978540,6513123,6869154,6925160,6971815,7069971,7174248,7348071,7488908,7769138,7790805,7794451,8071029,8183240,8310192,8366178,8368892,8372215,8527615,8838295,8999276,9104851,9206145,9288723,9348966,9693992,9819888,9924415,10046658,10128188,10233138,10605954,10634156,10698440,10699015,10905741,11047374,11134930,11558371,11568165,11627215,11719603,11909298,11955560,12035745,12245299,12339376,12372031,12838128,12838818,12983025,13006930,13147772,13361916,13450005,13479295,13618099,13771625,13848560,13881798,13902668,13952658,14230371,14303971,14346672,14442894,14468840,14975912,15229544,15319011,15325615,15332119,15579630,15608316,16023938,16140006,16175154,16193373,16263271,16277445,16525950,16618272,16742290,16847901,16945491,17133237,17362608,17386039,17580643,17627680,17674330,17728051,17778415,17996264,18294951,18390738,18411811,18695556,18753559,18833223,18868591,19277825,19447711,19532934,19673750,19831140,20057025,20090748,20175123,20245797,20373295,20544511,21140179,21153216,21209196,21276403,21334098,21394160,21475545,21756631,21894295,22097671,22310931,22506979,22565858,22842723,22850131,22891340,22907248,23133390,23527592,23608500,23791111,23797368,23871218,24068430,24098623,24149011,24168295,24447954,24470815,24672403,24675616,24697191,25182400,25440261,25566125,25570039,25584211,25672992,25770654,25801903,26015331,26273154,26356399,26468541,26772039,26859031,26955130,27312818,27387391,27469608,27539750,27721999,27760068,27879103,28113123,28330200,28551765,28625971,28662259,28689295,28882116,29001954,29139415,29364978,29421308,29439295,30015079,30061941,30218880,30286025,30435391,30455216,30487615,30679350,30730831,30903309,30997879,31169852,31375365,31460098,31671091,31710511,31871475,32033503,32180018,32233472,32236940,32245999,32346156,32689459,32724640,32782611,32980514,33047700,33467056,33555463,33619411,33826351,33918295,33996240,34041139,34044391,34101740,34262118,34364215,34427154,34608403,34664252,34767634,34895071,34958215,34967298,35246290,35250880,35327154,35699815,35788025,36229063,36262656,36343230,36343922,36348703,36366051,36410108,36585138,36588415,36815220,36818914,37128423,37180015,37351625,37650438,37667143,37774933,37829794,37883959,38055871,38087731,38235154,38245770,38684328,38766112,39011551,39027212,39181903,39269568,39301773,39342500,39466778,39657240,39826111,39827290,39834295,39867945,40259731,40374583,40409571,40701954,40778419,40795488,40922088,41237058,41661831,41891954,41949858,42030440,42040418,42295548,42301056,42329215,42395045,42525808,42751858,42768295,42839778,42945630,43153519,43174951,43207015,43265750,43460258,43479130,43519869,43611876,43798711,43902291,43906098,44178264,44255372,44528360,44614395,44616018,44821950,45125948,45139431,45300730,45554239,45808672,45894924,45908114,45977215,46037349,46221692,46683823,46703815,46787825,46831471,46849015,46866428,47014322,47023891,47115020,47146231,47211000,47228181,47284245,47588688,47736332,47770291,47792748,47801154,47810080,47841534,48027730,48033511,48148771,48934399,48934423,49158751,49272403,49520360,49548423,49700547,49746476,49890578,49973203,50094405,50358400,50436528,50566711,50586751,50661199,50754295,50795058,50874054,51022831,51125750,51175303,51183463,51321954,51474295,51534756,51573938,51848418,51918900,52014440,52151011,52174956,52200691,52334114,52448871,52458931,52816819,53112375,53434032,53537274,53626162,53664271,53711194,53786340,53964190,54360876,54365530,54453283,54458492,55172658,55380160,55487815,55541191,55554751,55555923,55710405,55753160,55773295,56044578,56145390,56218818,56224025,56262991,56267751,56291959,56403698,56434579,56500951,56538024,56653200,56741094,57135991,57213831,57244594,57290492,57372096,57449811,57633276,57660098,57909295,58516245,58903015,59124439,59252594,59268199,59424432,59487116,59812183,59888416,60046618,60057740,60113286,60396034,60430080,60460615,60564350,60779059,60905154,61310722,61350900,61439071,61731415,61769154,62101171,62302680,62417328,62722305,62933311,63091831,63221960,63605277,63734850,63982615,64056403,64058818,64458752,64465640,64543608,64678279,64757028,65036492,65055794,65087372,65238636,65244415,65376703,65438623,65440960,65583020,65729719,65944015,66040754,66108631,66456192,66585378,66603845,66789932,66839750,66852486,66903792,66927954,66952040,67314103,67334143,67374468,67398034,67468830,67592876,67653698,67689199,67704439,67983840,68194760,68229199,68297223,68419603,68871415,69026671,69473911,69491154,70090515,70126693,70219494,70304636,70416271,70660579,70683618,70693754,70894076,70988599,71124705,71284111,71390290,71449903,71966752,71968639,72069288,72195415,72307231,72516096,72523845,72552738,72611559,72627379,72677220,72834103,72866108,73431651,73573615,73594663,73621080,73674823,73865071,73872723,74077698,74382871,74398615,74591011,74763020,74763216,74941330,75085015,75266766,75321045,75324658,75352531,75540262,75866352,76044295,76454815,76481820,76486243,76648802,76719105,76779138,76925938,76961431,77091700,77358768,77522368,77530519,77670463,77770988,77856691,78059503,78235923,78293298,78487603,78529152,78699624,78735379,78903692,78923468,79082503,79132818,79363930,79726015,79796732,79924614,80207700,80342448,80462899,80738842,80811295,80812371,80962596,80982931,81077949,81569138,81580608,81627199,81758815,81763891,81833712,81843560,82157036,82164295,82404482,82413859,82512723,82546279,82569415,82645698,82823715,82856911,83136103,83209532,83445103,83497063,83544271,83568423,83621756,83773196,84108618,84130892,84186344,84535898,84539132,84858295,85334359,85349646,85554880,85574434,85663623,85668348,85880108,85899871,86081599,86292499,86520500,86634498,86650172,86728951,86868295,87028614,87117411,87212664,87278972,87529711,87600931,88149351,88203295,88288338,88345296,88473271,88499432,88537077,88796119,88869295,89278338,89300263,89367103,89715624,89800015,89904730,89929596,89956531,90102018,90169538,90197031,90360914,90385254,91096834,91253154,91377212,91448978,91554682,91576858,91614991,91745778,91778184,91787671,91972051,92062926,92074005,92223111,92309203,92361391,92448415,92510040,92863778,92966359,92968178,92981960,93087511,93395290,93720872,94053091,94113698,94227591,94424215,94426851,94653811,94709637,95080063,95140172,95148350,95212015,95236716,95419911,95452412,95616994,95671218,95937103,95944531,96230888,96249240,96303031,96387679,96405811,96571388,96648140,96950588,96973554,97573231,97742290,97856338,98110578,98114247,98206754,98212272,98348815,98366691,98502031,98582719,98597154,98609530,98677376,99083298,99103298,99388458,99541951,99561861,99750583,...,41589245160864313702196523634742340360681531882123947263102439225610580706042564933715177538712175843082805301108566614314679475072333079596162092031495015209084421030678862322447132206342742224258634278750619515324153783530244507082461732694860928545764007828954523664921484901450025193691226482107120017232018655886813201078870288609030804651382521917905468530868270450505719528531828408950170297500200672698351323144458630143092291054121824292954514901665466432298725478671939980347448179724907720802871878026686414024542950378914603167699851468477367436693930071384584492791115387627941772320285648851299015125849236637149215075420199671803416497164300699050995482065104863987791917804552380173283597050927956392208730181449055889772610167298333959197223590729032119707521962881662139549210568468043174779089897883517757183416327554743168191221347443793271413628528915491302796715242567601727309575946508968198601014690638474766292303275470223886887605844240893685111636857320771265371278836971002403961215613909768686647754304770276977149388069757364797814398876600364459770507745939267319376120619132618022803329723976990403397449711802422724656915261767323180935777587791782486619512367426988410679988199456921250923382141675601404424137230515642177576014923674140518828393000781355344289763874674074631739589472810504238792687273615798938875417577132101876281073567789928436768328816713784315646676533512742686113225191421274440551215523475023178100678478529149975219747885377881544425220431197739627552988520198839427139478202651892941124982866448976523629259445131675109779004481559059410800793445495413466195055047765708806961477896295920696382284000866547058079220460788038978488467162054972697268904373697828190090755417234670735694763877695070267391229949875906959212946564803180943240689233997205155857566916384633062405186036180265205897085270612573218138896983067323495634861377669656321876826767283937071442086009497929697390929347353052776033651926360471390791242889628619623673728647622797634922654486690832512177847503024451407351960511095864403909850910927879249579866541509402748588725198601242790742203735525930654127282989903999410555816758619092681039699895504156195632788654963340241780437302027493016410804935382933532980228966454239952859040098497369050177662699246465111092648270752056405600802905306529010606941071416971401977891132652088872128586542241619838171781688418828430150307849930099532171571197763325393140504008610355052007912247017274836451273313585717085499817446}
15762  7859323186241335186716501132555407024338669544602579997086805612: {204737,346478,361997,456257,487661,723902,881944,912398,992187,1181175,1196164,1238957,1259920,1301357,1417410,1511904,1581761,1700892,1768337,1950148,2140504,2392024,2408067,2691027,2789357,2789438,2820161,2894872,3004817,3256731,3281261,3536222,3648664,3893261,4012935,4094798,4104747,4167617,4280464,4296747,4805261,4815522,4954564,5115175,5379137,5427195,5577998,5712531,5789008,5830157,5947358,5980097,6059515,6076468,6138210,6159761,6277467,6512634,6547424,6607661,6637457,6786317,6822964,6875537,7083437,7160335,7235582,7271418,7365852,7473175,7498061,7616237,7675277,7940561,7976631,8151422,8482243,8557037,8592402,8644817,8656450,8684164,8825091,8967810,9063662,9111761,9158872,9286337,9361135,9426628,9547661,9565664,9692561,9790862,9797428,9981761,10229050,10303731,10387740,10461115,10557761,10672577,10696622,10761372,10796954,11057918,11080256,11154904,11233362,11249095,11653707,11778782,12117490,12125261,12274860,12294797,12317918,12384964,12465288,12520397,12549267,12553338,12660235,13093184,13103923,13138157,13213598,13292695,13325851,13373050,13395544,13498914,13529261,13640717,13644184,13946561,14023449,14105678,14141272,14527757,14540988,14638061,14729832,14885777,14944450,14994158,15050561,15069987,15187661,15192282,15297197,15349707,15424220,15433937,15625037,15746731,15879064,15908931,15951234,16033217,16047660,16250177,16434715,16439597,16520657,16571061,16702395,17086061,17117504,17118424,17310700,17378335,17487761,17647937,17813102,17815888,17861057,17863947,17933340,18086050,18162878,18259277,18509064,18576557,18603544,18719890,18813761,18973828,19036930,19128896,19257192,19258227,19510395,19599761,19721658,19729742,19756097,19903118,20042874,20043842,20422382,20425348,20586643,20595182,20610797,20772840,20811088,20822697,20854002,20868077,20928987,21150161,21520008,21533261,21566872,21591164,21664341,21703260,22034600,22157696,22315262,22463868,22495330,22593988,22772177,22822337,22844316,22897517,23150144,23369445,23412474,24035907,24190718,24210009,24262731,24312257,24393268,24520984,24529838,24557777,24738571,24788925,24927408,25110964,25113435,25507661,25712222,25869761,26043912,26086157,26206097,26216798,26441520,26511495,26648314,26707661,26731457,26742700,26787664,26900164,26994396,27205697,27512237,27555998,27559277,27586107,27653261,27981197,28043334,28055822,28144577,28204288,28278928,28330817,28445464,28470161,28493357,28614175,28634060,28840337,28885982,29024657,29185517,29283674,29299401,29409490,29510625,29746710,29747908,29877422,30042158,30136122,30277997,30456964,30844520,30884417,31085261,31191278,31418561,31478000,31529261,31729824,31813794,31860161,32001147,32007758,32091240,32320397,32333342,32597272,32929588,33187277,33380561,33615917,33848787,33920348,33998957,34126061,34230656,34337010,34360872,34687108,34700085,34840877,34882637,35030872,35257037,35291388,35397662,35401937,35412750,35463917,35557502,35567057,35696052,35806827,35813777,36102645,36181697,36324077,36626144,36671931,36728717,36776635,36809261,37013424,37210082,37389377,37484164,37686797,37773600,37824977,37923437,38002061,38069020,38276237,38471117,38509488,38509997,38655981,38669272,38684561,38761937,38962315,39153304,39338177,39409731,39452561,39506702,40082588,40282577,40291840,40296175,40394561,40432695,40673261,40747277,40858061,40905800,40969227,41061182,41204412,41215838,41309625,41389457,41640102,41679761,41770061,41833820,41865274,41932097,42325457,42495300,42573761,42627175,42908237,43013261,43060478,43128208,43323174,43330315,43430477,43502931,43710148,43894337,44047467,44063600,44126942,44131962,44149517,44554061,44787917,44884382,45328320,45337118,45398417,45480077,45487742,45512635,45626561,45642797,45682824,45885377,45902872,46019025,46444397,46491857,46507661,46623064,46754778,47102872,47190147,47195117,47609297,48026318,48032657,48270027,48350208,48355410,48457640,48488068,48519234,48641261,48780184,48784015,48875117,48991277,49078061,49086960,49092497,49178125,49470771,49504564,49564397,49571550,49733837,50055377,50200584,50276561,50345261,50427437,50563757,50807117,50833997,50994360,51007937,51152610,51286061,51364877,51393177,51394622,51579104,51625517,51640731,51664337,51857357,51934061,51996378,52010477,52116782,52151451,52359424,52363277,52402364,52450947,52512557,52538050,52549697,52691918,52697537,52869435,52876320,52990731,53050061,53157260,53241677,53277377,53407598,53407661,53653697,53861777,53879428,53941997,54033197,54101261,54269272,54370637,54393984,54514845,54515883,54545198,54562784,54615162,54877707,54969422,54982744,55087661,55098257,55110542,55222830,55228371,55245761,55319215,55464077,55494977,55549108,55617857,55660450,55920017,55933144,55954238,56048717,56107661,56156561,56195537,56394064,56401408,56407435,56455277,56475657,56513822,56531117,56653358,56744691,56764817,56820161,56931998,57011597,57119704,57137261,57172877,57217217,57260840,57278957,57322817,57352731,57357761,57368655,57626078,57777115,57833537,57866561,57940397,58026492,58029761,58102157,58149168,58197677,58276397,58316558,58500161,58536388,58540818,58541464,58583035,58680257,58731917,58841297,58893775,58904352,58941761,58984337,59013750,59047661,59054657,59089517,59200167,59321261,59381057,59485860,59488024,59518061,59607437,59613761,59670415,59682797,59701457,59740935,59744717,59762600,59793677,59822942,59978561,60065261,60116417,60150161,60185908,60260561,60346577,60373037,60420161,60501902,60602177,60616877,60722477,60759917,60792257,60855761,60860237,60922061,60926417,61003457,61011857,61052931,61086017,61145837,61193232,61260077,61303757,61311902,61335761,61383132,61407917,61450817,61532561,61671917,61807661,61809857,61849022,61855587,61872017,61900450,61909457,61925261,61956497,61964237,61986257,61994561,62021357,62026061,62051597,62065217,62066897,62070161,62078477,62085197,62093777,62107457,62110157,62116718,62183095,62783438,62837931,62924787,62948000,62970908,63045660,63060627,63443322,63451584,63723664,63734872,63788712,63974462,64127787,64259667,64418445,64631102,64898625,65018050,65153822,65190387,65218695,65417814,65859147,66064564,66267396,66383058,66792540,66924027,66965198,67221662,67232925,67248704,67688922,67726744,67832072,67951095,68073115,68429272,68621918,68713008,68842386,68862171,69126782,69131224,69225200,69332538,69566608,69629342,69691450,69931828,70299642,70521483,70672530,70751678,70816500,71245376,71383032,71604498,71613115,71616542,71689122,71701731,71715120,71762301,72041595,72107582,72481168,72596318,72961358,73325102,73446062,73563544,73663051,73808078,74074564,74280540,74358895,74619714,74726104,74835867,74860520,74958424,75023668,75072175,75361838,75384032,75537600,75654792,75952958,76192587,76285108,76311081,76496128,76599748,76688625,76844368,76982931,77302134,77360907,77437003,77772627,77878350,78021660,78262434,78281438,78501171,78854558,79027450,79232576,80151048,80215358,80305911,80439243,80566791,80573440,80582050,80679510,80776238,80946285,81206872,81295615,81359215,81444542,81541314,81548295,81687738,81801200,81978775,82005763,82358872,82656302,82758987,83070240,83092622,83223104,83309918,83487415,83629740,83690050,84066867,84202027,84218085,84280622,84328227,84491095,84605547,84807036,84979800,85111641,85243450,85662158,85866891,85935738,86058144,86342704,86395982,86449914,86490147,86812142,86984848,87842462,87880795,88086691,88555118,88608256,88617595,88780504,88878891,89136648,89205056,89230674,89237272,89560958,89832624,89958440,90069927,90086610,90169929,90552398,90594051,90645120,90846525,91062964,91082635,91237838,91357731,91432382,91723118,91916222,91966083,92026350,92653731,92654872,92967998,93251822,93453775,93454020,93625992,94244824,94832940,95293598,95602275,96018782,96088227,96092384,96198638,96364625,96688128,96698460,96736984,96815412,96902960,97135542,97213735,97265678,97554738,97583691,97631058,97704158,97857954,97908868,98139038,98161440,98374530,98398238,98496964,98629615,98654335,98770264,99061131,99083102,99252878,99684288,99745915,99842558,99878067,...,62383867741296470553294785452113510541022297823185920894653658838415871059063847400572766308068263764624207951662849921472019212608499619394243138047242522813626631546018293483670698309514113336387951418125929272986230675295366760623692599042291392818646011743431785497382227352175037790536839723160680025848027983830219801618305432913546206977073782876858202796302405675758579292797742613425255446250301009047526984716687945214638436581182736439431772352498199648448088218007909970521172269587361581204307817040029621036814425568371904751549777202716051155040895107076876739186673081441912658480428473276948522688773854955723822613130299507705124745746451048576493223097657295981687876706828570259925395576391934588313095272173583834658915250947500938795835386093548179561282944322493209323815852702064762168634846825276635775124491332114752286832021165689907120442793373236954195072863851402590964363919763452297901522035957712149438454913205335830331408766361340527667455285981156898056918255456503605941823420864653029971631457155415465724082104636047196721598314900546689655761618908900979064180928698927034204994585965485605096174567703634086985372892650984771403666381687673729929268551140482616019982299185381876385073212513402106636205845773463266364022385511210778242589501172033016434645812011111947609384209215756358189030910423698408313126365698152814421610351684892655152493225070676473470014800269114029169837787131911660826823285212534767151017717793724962829621828066822316637830646796609441329482780298259140709217303977839411687474299673464785443889167697512664668506722338589116201190168243120199292582571648563210442216844443881044573426001299820587118830691182058467732700743082459045903356560546742285136133125852006103542145816542605401086844924813860438819419847204771414861033850995807733786350374576949593607779054270397808845627905918859827208345474600985243452292066504484482815240150925905607163129014246894546086394021029579164050477889540707086186864334442929435510592971434196452383981730036248768266771254536677111027940766643796605864776366391818874369799812264104122883087797901864186113305603288895981190924484855999115833725137928639021559549843256234293449182982445010362670655953041239524616207403074400299470343449681359929288560147746053575266494048869697666638972406128084608401204357959793515910411607125457102966836698978133308192879813362429757257672532628242645225461774895149298257356796644988089710756012915532578011868370525912254676909970378575628249726169}
15763  7893979904328498298846110560912615873917258712344232513370708207: {31522,519717,771701,1085853,1102430,1322916,1368597,1495205,1574900,1794246,1872941,1889880,2015872,2093021,2126115,2250677,2267856,2437685,2533013,2551338,2659553,2675630,2925222,2990030,3192581,3210756,3288197,3476993,3588036,3618590,3745406,3808838,3885557,4184157,4342308,4500782,4560830,4702373,5065382,5079821,5304333,5350580,5472996,5728996,5884142,6142197,6193205,6420696,6575558,6953102,7223283,7236260,7431846,7595585,7616708,7957862,8014013,8184280,8366997,8369956,8528705,8683512,8921037,9090206,9114702,9207315,9695224,9760541,9768951,9821136,10234446,10635508,10853373,10855205,10907127,11048778,11448590,11456536,11721101,11766788,11783285,11938661,11957080,12227133,12246785,12373613,12590237,12888603,12984675,13026246,13451715,13595493,13659893,13738308,13850320,13894181,13943630,14139942,14348496,14471717,14686293,14696142,14977816,14978621,15343575,15481205,15538276,15581610,15588902,16044933,16094117,16142058,16195431,16278101,16366480,16586877,16620384,16732356,16737784,16744430,16850043,16904693,17055230,17668173,17676590,17730317,17858381,17998552,18119777,18176235,18176597,18209702,18412290,18476877,18577446,18697932,18755957,18830007,18871013,19280275,19387984,19639776,19820397,19848830,20059575,20093316,20248371,20256376,20466276,20547137,20951333,21040781,21158517,21211908,21268312,21396880,21398030,21455861,21638375,21735677,21759413,21811482,21997637,22094748,22163297,22269860,22416675,22491237,22788423,23116742,23136330,23254430,23439206,23717285,23818596,23911120,23926851,24071490,24490598,24678752,24697397,24744062,24889781,24951653,25531685,25676256,25677636,25760597,25805201,25913261,25966050,26013860,26295544,26304893,26599157,26719653,26723832,26900010,26958590,26988955,27129075,27236198,27244317,27265781,27390893,27543250,27642077,27697120,27763596,27805336,27905316,28079835,28242485,28456037,28460742,28522613,28555395,28607942,28693344,28837421,28885788,28937680,29582487,29594613,29633861,29854677,29951824,30018917,30064311,30065763,30219137,30440981,30459088,30491585,30609437,30633573,30638022,30651230,30652013,30664238,30892773,31159260,31216632,31281003,31388705,32047876,32280012,32350308,32386746,32526542,32554890,33031757,33051900,33154337,33236544,33428375,33472893,33484580,33625205,33695802,33721421,33742995,33830693,33835613,33890982,34201061,34259141,34266474,34469861,34725216,34772078,34899533,35118711,35161286,35255360,35348660,35456102,35556830,35705093,35792575,35992528,36070661,36286077,36589902,36633857,36781476,36794757,36823622,36879341,37184885,37391112,37507118,37666446,37737182,38071205,38555650,38568333,38632997,38895422,39065868,39168161,39325197,39347500,39662280,39731957,39972471,40114050,40165013,40181496,40230437,40264877,40350246,40491594,40625021,40746590,40795181,41089022,41119661,41161985,41215013,41333997,42065001,42083733,42280358,42306432,42400435,42418392,42552806,42668196,42682661,42788320,42951090,43159037,43180493,43328973,43358885,43513262,43788590,43925511,44114235,44195342,44620065,44621862,44816133,45012773,45013958,45063237,45131716,45204183,45685446,45700262,45736181,45782680,45814496,46266780,46786917,46837457,46855205,47055184,47217000,47485613,47582222,47586275,47594736,47720691,47742436,47776397,48011637,48039653,48109901,48136860,48192677,48197246,48254357,48298022,48336590,48500013,48895908,48941501,48941630,49115933,49278701,49344806,49351232,49394382,49876397,49903397,49979741,50103235,50364800,50593217,50667677,50880522,51132250,51140078,51168422,51223781,51345984,51505515,51541308,51603806,51762113,52030662,52052021,52292275,52546308,52712798,52937082,53096493,53119125,53132477,53156477,53336253,53544078,53671133,53718062,53910260,54625636,54637685,54713357,54774782,54939216,55079500,55443998,55520136,55548293,55718273,55758206,55768013,55815123,56092481,56226246,56270213,56299157,56660400,56903093,57025517,57103530,57251942,57324518,57378590,57480581,57764232,58003908,58200161,58278830,58729956,58842616,58878590,59260053,59260901,59353063,59875613,60030158,60123882,60437760,60489821,60572050,60610085,60870782,60910432,60975230,61358700,61461662,61591773,61633013,61806618,61823757,61835621,61880705,61995758,62339704,62419877,62460153,62750730,62797911,62920196,63342182,63355661,63421022,63742950,64067006,64090037,64360036,64368101,64466944,64473880,64491998,64590717,64692312,64772117,64984761,65378918,65385341,65449280,65502955,65565222,65588621,65959037,65961028,66095400,66190413,66197943,66446575,66934112,67110926,67238822,67326573,67349285,67524353,67652702,67833317,67836590,67992480,68005677,68082278,68088782,68203480,68231613,68237957,68524236,68667197,68728430,68854308,69216806,69328504,69436385,69535268,69595937,69790142,69874337,69916430,69934596,70132167,70158581,70492580,70501760,70654308,70997861,71056013,71131157,71207021,71399630,71576050,71829797,71977877,72039477,72064013,72458126,72525312,72533115,72686460,72687844,72697406,72732102,72778851,72820216,72934661,72964397,73170276,73170485,73176830,73392293,73630440,73637828,73886117,73946477,74256846,74357325,74360030,74563073,74703250,75232385,75300876,75334286,75549866,75659588,75767918,75834413,76111742,76175462,76470308,76491540,76728915,77091933,77368656,77532224,77680577,77682941,77866877,77994567,78023102,78054424,78082613,78175173,78363806,78539136,78603546,78670157,78685000,78713635,78807075,78933556,79037877,79078997,79314480,79652222,79654580,79668590,79670477,79735890,79954661,80014337,80111397,80519462,80576141,80749166,80819142,80953277,81073013,81402821,81403908,81556838,81590976,81696437,81817797,81844176,81922743,82454133,82464221,82474116,82580705,82665813,82834245,83133797,83323662,83442917,83490675,83507957,83783908,83895617,83899716,83931357,84060880,84080836,84591096,84602112,84644861,84658430,84770733,84790090,84980037,85051616,85198613,85397997,85503716,85536590,85679556,85832357,85891260,86015717,86307038,86349902,86414030,86423981,86439117,86531500,86920516,86958260,86982977,87039738,87223752,87256661,87414785,87474837,87597422,87804582,87811227,87812196,88153013,88356528,88510744,88520625,88807517,89056720,89228790,89232036,89318861,89575661,89643900,89734413,90126977,90251896,90278862,90440321,90601460,90752853,91108478,91342181,91617344,91626977,91789848,91799453,91816228,91954430,91967853,92012453,92018261,92074698,92321621,92443384,92593205,92773533,92850675,92916821,93064541,93127637,93175077,93245383,93367646,93407630,93575650,93662942,93698030,93732856,93779585,94028644,94047782,94175157,94230040,94292462,94422000,94456362,94562813,94568490,94807277,95092517,95164983,95177376,95356385,95472664,95540582,95585496,95602308,95620160,95683068,95749685,95961693,96055460,96067022,96117761,96139061,96297542,96419981,96630053,96932357,96946653,97398197,97480193,97527075,97730733,97868798,97868846,98126721,98317502,98544806,99040720,99096846,99401094,99492952,99574587,99781156,99946406,...,83178490321728627404393047269484680721363063764247894526204878451221161412085129867430355077424351686165610602217133228629358950144666159192324184062990030418168842061357724644894264412685484448517268557501239030648307567060489014164923465389721857091528015657909047329842969802900050387382452964214240034464037311773626402157740577218061609302765043835810937061736540901011439057063656817900340595000401345396702646288917260286184582108243648585909029803330932864597450957343879960694896359449815441605743756053372828049085900757829206335399702936954734873387860142769168985582230775255883544640571297702598030251698473274298430150840399343606832994328601398101990964130209727975583835609104760346567194101855912784417460362898111779545220334596667918394447181458064239415043925763324279098421136936086349558179795767035514366832655109486336382442694887586542827257057830982605593430485135203454619151893017936397202029381276949532584606550940447773775211688481787370223273714641542530742557673942004807922431227819537373295508609540553954298776139514729595628797753200728919541015491878534638752241238265236045606659447953980806794899423604845449313830523534646361871555175583564973239024734853976821359976398913842501846764283351202808848274461031284355152029847348281037656786001562710688579527749348149263479178945621008477585374547231597877750835154264203752562147135579856873536657633427568631293353067025485372226450382842548881102431046950046356201356957058299950439495770755763088850440862395479255105977040397678854278956405303785882249965732897953047258518890263350219558008963118118821601586890990826932390110095531417613922955792591841392764568001733094116158440921576077956976934324109945394537808747395656380181510834469341471389527755390140534782459899751813918425893129606361886481378467994410311715133832769266124810372072360530411794170541225146436277793966134646991269722755339312643753653534567874142884172018995859394781858694706105552067303852720942781582485779257239247347457295245595269845308973381665024355695006048902814703921022191728807819701821855758499159733083018805497177450397202485581484407471051861308254565979807998821111633517238185362079399791008312391265577309926680483560874604054986032821609870765867065960457932908479905718080196994738100355325398492930222185296541504112811201605810613058021213882142833942803955782265304177744257173084483239676343563376837656860300615699860199064343142395526650786281008017220710104015824494034549672902546627171434170999634892}
15764  7928788245945863521738882220863416020271391176300890672865740725: {47283,409474,487723,581899,692956,723994,912514,975322,1447804,1519699,1613083,1653645,1763888,1824796,1968625,1984374,2362350,2392328,2450299,2477914,2519840,2542963,2602714,2691369,2820523,2834820,3023808,3163522,3401784,3465643,3536674,3827007,3900296,4013445,4198603,4281008,4387833,4485045,4784048,4816134,4836163,5198899,5382054,5427885,5578714,5578876,5618109,5640322,5713257,5740843,5789744,6009634,6513462,6562522,6638323,6688225,6751173,6841245,6995299,7072444,7161245,7297328,7439899,7598073,7786522,7971043,8025870,8189596,8209494,8323699,8335234,8483321,8560928,8593494,8675203,8762899,8826213,9045325,9520885,9610522,9631044,9722803,9863337,9909128,10024469,10156243,10230350,10415443,10429653,10462445,10758274,10854390,11017723,11147769,11155996,11274763,11425062,11578016,11660314,11894716,11936793,11960194,12119030,12152936,12276420,12319522,12554934,13025268,13055899,13094848,13105589,13215322,13274914,13294385,13572634,13635309,13645928,13672053,13751074,13892899,14166874,14308699,14320670,14471164,14542836,14645561,14708485,14722699,14731704,14946350,14996122,15217123,15232474,15350554,15351669,15463363,15748733,15881122,15953262,16302844,16573167,16964486,17088403,17114074,17172885,17184804,17289634,17312900,17368328,17490163,17650182,17650363,17724329,17890123,17935620,18127324,18223522,18317744,18572674,18609773,18722270,18842683,18853256,19095322,19131328,19157899,19385122,19422845,19539369,19581724,19594856,19963522,20407243,20458100,20607462,20775480,20915445,20922230,20937961,21025003,21115522,21178723,21209913,21345154,21393244,21522744,21593908,21943003,22044213,22115836,22160512,22246699,22309808,22466724,22498190,22925803,23008601,23307414,23372415,23375299,23383353,23557564,23822203,24213087,24234980,24250522,24329669,24549720,24561283,24589594,24635836,24769928,24930576,25040794,25098534,25106676,25116645,25147363,25320470,25511323,25582845,25873483,26186368,26207846,26276314,26427196,26514885,26585390,26651702,26735323,26746100,26791088,26997828,27058522,27281434,27288368,27314553,27618435,27837325,27866169,27893122,28046898,28148683,28211356,28282544,28497523,29051923,29055514,29081976,29120899,29236493,29276122,29459664,29771554,29773245,29888900,29988316,30101122,30139974,30375322,30384564,30417763,30594394,30699414,30821899,30848440,30867874,31250074,31489699,31493462,31758128,31817862,31886923,31902468,32066434,32095320,32097045,32477899,32500354,32517325,32717223,32803699,32868643,32869430,32879194,33041314,33142122,33404790,34152403,34172122,34235008,34236848,34405699,34621400,34675113,34704495,34756670,34881645,34971403,34975522,35158809,35295874,35593123,35626204,35631776,35722114,35727894,35866680,36107235,36172100,36207643,36268699,36325756,36518554,36735897,36875299,37018128,37116093,37153114,37207088,37439780,37627522,37947656,38073860,38257792,38301763,38514384,38516454,38883883,38941699,38949075,39020790,39199522,39443316,39459484,39512194,39806236,39856963,40026523,40059845,40082899,40085748,40087684,40350015,40363699,40437885,40698283,40844764,40850696,40854297,41173286,41190364,41195299,41221594,41250163,41314875,41414323,41523403,41545680,41622176,41645394,41708004,41736154,41794843,41855725,41857974,41956843,42300322,42598363,42691113,42911913,43020283,43040016,43066522,43133744,43182328,43328682,43406520,43850299,44069200,44185825,44315392,44561443,44630524,44861899,44927736,44990660,45187976,45406003,45544354,45644674,45650443,45688632,45795034,45957033,45976845,45996357,46085899,46300288,46515523,46610203,46738890,46824948,47218603,48071814,48381436,48398899,48420018,48525462,48580119,48624514,48786536,48789813,48832335,49014283,49041968,49059676,49101043,49115554,49184375,49273699,49477142,49487899,49577850,49854816,50221928,50226870,50326699,50543703,50735299,50775763,50836473,51015322,51136699,51295243,51374083,51399711,51424444,51487289,51686563,51739522,52087824,52158117,52172314,52412194,52433596,52741929,52883040,52999483,53022990,53184153,53251483,53296628,53335245,53415322,53429323,53462914,53485400,53575328,53779603,53800328,53883283,53988792,54257899,54391963,54411394,54425299,54458563,54547241,54754699,54884853,54916699,55024474,55108723,55111996,55118554,55172214,55235433,55306522,55962394,56000299,56086668,56111644,56118523,56177203,56260677,56289154,56408576,56414645,56499669,56551603,56557856,56605773,56661634,56890928,56940322,56986714,57022843,57157483,57228350,57268120,57680674,57753643,57771964,57833475,58025299,58049314,58121923,58343133,58371034,58404883,58567348,58598802,58744003,58818980,58831699,59021250,59024803,59066923,59129563,59170963,59353699,59493420,59495816,59626363,59678045,59754844,59757403,59812483,59830699,59848843,59991403,60008899,60084316,60163123,60171075,60272244,60422899,60500299,60525369,60555994,60575899,60635083,60662441,60664243,60737391,60873763,60913928,60940003,61004443,61042243,61103803,61119885,61277683,61394899,61445299,61633533,61689040,61709899,61717603,61768834,61783699,61811203,61824523,61904083,61961899,62030443,62048083,62109283,62170522,62382556,62837122,62956000,63058522,63420537,63459648,63627588,63717689,63720322,63829209,64002294,64015516,64182480,64426635,64640794,64666684,65194544,65269893,65682885,65859176,66293013,66374554,66761122,66932793,67231834,67387825,67520937,67697574,67840696,67997914,68252122,68282045,68297621,68461312,68528169,68550393,68674020,68721744,68849375,69374216,69400170,69681754,69765274,70061744,70514074,70582776,70795324,70803874,70825500,70927834,71115004,71134114,71373333,71392104,71613654,71627554,72205290,72295869,72363394,72447033,72504885,72648154,73252288,73343862,73412445,73457434,73553270,73618522,74017209,74026848,74091573,74420164,74778754,74968328,75373594,75547200,75649954,75846874,76004122,76138040,76320783,76552474,76698375,76710117,76752633,76942234,77018976,77019994,77311962,77338544,77369122,77405709,77446901,77523874,77924630,78045993,78306608,78650245,78676354,78819462,78905122,78970409,79013404,79069197,79405623,80165176,80316117,80450045,80565154,80577093,80583680,80592350,80789122,80865390,80887961,81346522,81494554,81716122,81811600,81938454,82016249,82122364,82162173,82408824,82431676,82451285,82619250,82778914,83165997,83280204,83359522,83538581,83540122,83637309,83667640,83730548,83864194,84339369,84650914,84990600,85147522,85254350,85655295,85816474,85877913,85986777,86026522,86067885,86120956,86256416,86646348,86660630,86860954,86919085,87005862,87056333,87418245,87420296,87788674,88094934,88115725,88127200,88253884,88263924,88299034,88317885,89108122,89575834,89768764,90045237,90185823,90656640,90674236,90796834,90858075,90859805,90960154,90975484,91025270,91253122,91285594,91306173,91365648,91462845,91770754,91805744,92038050,92047285,92192493,92709927,92888794,92983714,92993637,93015322,93246128,93509556,94126095,94205744,94380294,94390234,94574485,95013273,95131533,95218594,95302361,95587885,95614425,96052636,96065314,96100509,96540054,96700416,96710820,96737997,96915280,96976136,97038468,97282522,97560368,97568030,97750234,97982554,98068377,98156122,98173920,98184994,98347833,98356250,98666945,98941542,99009128,99128794,99143100,99467674,99568225,...,124767735482592941106589570904227021082044595646371841789307317676831742118127694801145532616136527529248415903325699842944038425216999238788486276094485045627253263092036586967341396619028226672775902836251858545972461350590733521247385198084582785637292023486863570994764454704350075581073679446321360051696055967660439603236610865827092413954147565753716405592604811351517158585595485226850510892500602018095053969433375890429276873162365472878863544704996399296896176436015819941042344539174723162408615634080059242073628851136743809503099554405432102310081790214153753478373346162883825316960856946553897045377547709911447645226260599015410249491492902097152986446195314591963375753413657140519850791152783869176626190544347167669317830501895001877591670772187096359122565888644986418647631705404129524337269693650553271550248982664229504573664042331379814240885586746473908390145727702805181928727839526904595803044071915424298876909826410671660662817532722681055334910571962313796113836510913007211883646841729306059943262914310830931448164209272094393443196629801093379311523237817801958128361857397854068409989171930971210192349135407268173970745785301969542807332763375347459858537102280965232039964598370763752770146425026804213272411691546926532728044771022421556485179002344066032869291624022223895218768418431512716378061820847396816626252731396305628843220703369785310304986450141352946940029600538228058339675574263823321653646570425069534302035435587449925659243656133644633275661293593218882658965560596518281418434607955678823374948599346929570887778335395025329337013444677178232402380336486240398585165143297126420884433688887762089146852002599641174237661382364116935465401486164918091806713121093484570272266251704012207084291633085210802173689849627720877638839694409542829722067701991615467572700749153899187215558108540795617691255811837719654416690949201970486904584133008968965630480301851811214326258028493789092172788042059158328100955779081414172373728668885858871021185942868392904767963460072497536533542509073354222055881533287593211729552732783637748739599624528208245766175595803728372226611206577791962381848969711998231667450275857278043119099686512468586898365964890020725341311906082479049232414806148800598940686899362719858577120295492107150532988097739395333277944812256169216802408715919587031820823214250914205933673397956266616385759626724859514515345065256485290450923549790298596514713593289976179421512025831065156023736741051824509353819940757151256499452338}
15765  7963748869234405640472153291960084172748760573057722131711264534: {63044,614211,866195,1039434,1085991,1368771,1462983,1543402,1809755,2093287,2171706,2204860,2280995,2645832,2659891,2737194,2942819,2976561,2990410,3149800,3412759,3543525,3588492,3716871,3745882,3779760,3886051,3904071,3979943,4031744,4186042,4252230,4501354,4535712,4546259,4745283,4875370,5066026,5102676,5305011,5319106,5351260,5677447,5850444,5980060,6385162,6421512,6576394,6953986,6973595,7176072,7224201,7237180,7490812,7617676,7771114,8073081,8368071,8368314,8460483,8670487,8684616,8840555,9001564,9014451,9121660,9404746,9770193,9843783,10130764,10159642,10236995,10608666,10633819,10701160,10945992,11457992,11679783,11768284,11940187,12038805,12248423,12284394,12314241,12386410,12502851,12841392,12890241,13151116,13906204,13944995,14307623,14415783,14446566,14472520,14863692,14868395,14879371,15191170,15197287,15233416,15345525,15915724,16028026,16137411,16281585,16368560,16496599,16733994,16739912,17057410,17137593,17145499,17367024,17490471,17842074,17940291,18088955,18178545,18180412,18229404,18414630,18416519,18479283,18832401,19390448,19441763,19521082,19537902,19642272,19822983,19912371,19959367,20358951,20378555,20468892,20626611,20954011,21250311,21271016,21281831,21481005,21641125,21673687,21706746,21710410,21814254,22097556,22166131,22419525,22494183,22659155,22848711,22897180,22913072,23025831,23442202,23516167,23533576,23566570,23821683,23877322,23914160,23929893,24104771,24454266,24477155,24493570,24747226,25180474,25446729,25572625,25590743,25671111,25777206,25934451,25969350,26052492,26363123,26475273,26741555,26865899,26903430,26992385,27190986,27319786,27335283,27476616,27644795,27700640,27788362,27859011,27887260,28083405,28279884,28450979,28642983,28696992,28841107,28943434,28990471,29077683,29372586,29392284,29446955,29650643,29945283,29955632,29957242,30293725,30613351,30624763,30687150,30794795,30911193,30962410,31076552,31163220,31177804,31383345,31673283,32017731,32089866,32188234,32284116,32390862,32540359,32556202,32732960,33033995,33173754,33204199,33240768,33432625,33464712,33475568,33488860,33700086,33747285,33809386,34053083,34110460,34617239,34961121,35264195,35336346,35353180,35360419,35440843,35460634,35716762,35744359,35997104,36239554,36334043,36352470,36353194,36375783,36419404,36824580,36884391,36953754,37154892,37361125,37395864,37485395,37511914,37561191,37647801,37660014,37688647,37742026,37784537,37980705,38560550,38770919,38775968,38823619,39037531,39279552,39311769,39414471,39539479,39640794,39697660,39878085,39977553,40119150,40186632,40384907,40496742,40512752,40587783,40619771,40922151,40932552,41078803,41094274,41218087,41839683,41902666,42070347,42081562,42317034,42423816,42536624,42628963,42688219,42793760,42796060,42911722,43276750,43471354,43518826,43583271,43622964,43810019,43914183,43944187,43995274,44189496,44234459,44326594,44532755,44539720,44657331,44833350,44982474,45151683,45209961,45215125,45407195,45562983,45576846,45742027,45891591,46049121,46233484,46272660,46301811,46508860,46799725,46875111,46878412,47075287,47240193,47376467,47434570,47592325,47637192,47726793,47822240,47827043,47853702,48099651,48142980,48260551,48496787,48595963,48750531,48981196,49122211,49304145,49318791,49324355,49357504,49394794,49488124,49561971,49713183,49757795,49779562,49830803,49903306,50107185,50109605,51055955,51063370,51258183,51352512,51355272,51487955,51521194,51610402,51826522,51932100,52027720,52058839,52080299,52135005,52214039,52463283,52591088,52609786,52830503,52943811,53139271,53198314,53226323,53299687,53439306,53447664,53583171,53591841,53800020,53917180,53977910,54258150,54467207,54472396,54488634,54531562,54777831,54781786,55086500,55284154,55394240,55527192,55610672,55729671,55788155,55810632,56159670,56238325,56441283,56484970,56912074,56921484,57045226,57110790,57215884,57386688,57626779,57674842,57771576,57774681,57875360,58207603,58531185,58799283,58857083,59164974,59189226,59267722,59268291,59360609,59709354,59802083,59903648,60037834,60128622,60131526,60438274,60476795,60702439,60881962,60918176,60983170,61218874,61267146,61276044,61302460,61304026,61324595,61328476,61444759,61759929,61785546,61832391,61949051,62318520,62433264,62468091,62562006,62604231,62777410,62786961,62821291,62991427,63450483,64095752,64280555,64560024,64599783,64700616,64773492,64993023,65053084,65109780,65376107,65541995,65597287,66063514,66103800,66125699,66308674,66473088,66620785,66856750,66945786,66969160,67250410,67391604,67442842,67485990,67661386,67671226,67781964,68315543,68316531,68402122,68467011,68518282,68532948,68692551,68751971,68889995,68939722,69176551,69450432,69544156,69799066,70108335,70139555,70144529,70237422,70322572,70510720,70697320,70912204,71113660,71410186,71585150,71985056,72107721,72141322,72214955,72572154,72630027,72788193,72936771,72944023,73179804,73209185,73267714,73309099,73523725,73562952,73589514,73647244,73673331,73758682,73885859,74215713,74366775,74369770,74693555,74782224,75014236,75105395,75332892,75340305,75400667,75474364,75742771,76142410,76492759,76522983,77111300,77136666,77265994,77609283,77790844,77978195,78131736,78258471,78336322,78529319,78618291,78650394,78695000,79324560,79463914,79534485,79944942,80019395,80122983,80194371,80228100,80330026,80362992,80460874,80529754,80700492,80833355,80983188,81250042,81493180,81590362,81617091,82178044,82239322,82323970,82430026,82435463,82536711,82667994,82671367,82677831,82758321,82959783,83233651,83906563,83943591,84130002,84167466,84433731,84560716,84612864,84800870,84836784,84854119,84992451,85105612,85336392,85365322,85410483,85480071,85576640,85842525,85902180,86230651,86318074,86360986,86521011,86632987,86657946,86717770,87026524,87073971,87300323,87391291,87556551,87577180,87851022,87898203,88228470,88390684,88494155,88531875,88893755,89240130,89243724,89632266,90025546,90027916,90055687,90126474,90263432,90408366,90833991,90850499,91370892,91400524,91472362,91565360,91628992,91704137,92024491,92346619,92533560,92653251,92981803,93025205,93139591,93255783,93573834,93674914,93710410,94110368,94255683,94288999,94434000,94587783,94971226,95164444,95172550,95189472,95441382,95484872,95552794,95580483,95731451,96003441,96023274,96079306,96219802,96273720,96385354,96394492,96508714,96596044,96673180,96961191,97000026,97210939,97403287,97791816,97883002,97883260,98021083,98231866,98557402,98689612,98702464,98766755,98788764,98895203,99561831,99752794,99806794,99924443,99959482,...,187151603223889411659884356356340531623066893469557762683960976515247613177191542201718298924204791293872623854988549764416057637825498858182729414141727568440879894638054880451012094928542340009163854254377787818958692025886100281871077797126874178455938035230295356492146682056525113371610519169482040077544083951490659404854916298740638620931221348630574608388907217027275737878393227840275766338750903027142580954150063835643915309743548209318295317057494598945344264654023729911563516808762084743612923451120088863110443276705115714254649331608148153465122685321230630217560019244325737975441285419830845568066321564867171467839390898523115374237239353145729479669292971887945063630120485710779776186729175803764939285816520751503976745752842502816387506158280644538683848832967479627971447558106194286505904540475829907325373473996344256860496063497069721361328380119710862585218591554207772893091759290356893704566107873136448315364739616007490994226299084021583002365857943470694170754766369510817825470262593959089914894371466246397172246313908141590164794944701640068967284856726702937192542786096781102614983757896456815288523703110902260956118677952954314210999145063021189787805653421447848059946897556145629155219637540206319908617537320389799092067156533632334727768503516099049303937436033335842828152627647269074567092731271095224939379097094458443264831055054677965457479675212029420410044400807342087509513361395734982480469855637604301453053153381174888488865484200466949913491940389828323988448340894777422127651911933518235062422899020394356331667503092537994005520167015767348603570504729360597877747714945689631326650533331643133720278003899461761356492073546175403198102229247377137710069681640226855408399377556018310626437449627816203260534774441581316458259541614314244583101552987423201359051123730848780823337162811193426536883717756579481625036423802955730356876199513453448445720452777716821489387042740683638259182063088737492151433668622121258560593003328788306531778914302589357151945190108746304800313763610031333083822299931389817594329099175456623109399436792312368649263393705592558339916809866687943572773454567997347501175413785917064678649529768702880347548947335031088011967859123718573848622209223200898411030349044079787865680443238160725799482146609092999916917218384253825203613073879380547731234821376371308900510096934399924578639440087289271773017597884727935676385324685447894772070389934964269132268038746597734035605111577736764030729911135726884749178507}
15766  7998862435169367080569184280165234475292894582795008656868328923: {78805,94566,267733,456373,818948,975446,1163798,1301689,1385912,1447988,1559151,1825028,1950644,2141173,2315103,2756075,2895608,3039398,3067093,3226166,3257559,3307290,3527776,3649592,3710953,3937250,3968748,4105791,4168693,4485615,4533589,4724700,4784656,4900598,4955828,5039680,5085926,5205428,5382738,5440789,5618823,5641046,5669640,5891689,5981653,6047616,6279063,6327044,6378345,6689075,6752031,6803568,6931286,7073348,7144633,7313055,7322473,7475075,7599039,7654014,7677289,7800592,7978659,8026890,8397206,8562016,8775666,8970090,8997589,9046475,9346933,9363515,9522095,9568096,9577743,9632268,9672326,9864591,9955513,10025743,10301689,10397798,10430979,10764108,10855770,11157428,11157752,11236218,11251955,11280644,11402075,11426514,11481686,11579488,11656671,11930293,12019268,12100213,12354553,12552471,12663455,13026924,13125044,13197673,13276646,13329239,13376450,13502346,13682490,13990598,14107119,14116789,14144888,14322490,14531689,14594656,14647423,14710355,14879798,14944789,15027193,15196146,15239463,15438133,15573044,15912999,15942086,16051740,16091893,16254613,16379192,16418988,16438895,16647398,16670468,16966642,17121856,17186988,17350406,17382755,17525798,17652426,17706133,17786089,17865973,18090650,18426591,18502453,18579615,18612139,19041770,19055593,19221044,19262088,19445606,19726674,19818256,19894655,20048938,20312486,20460700,20591879,20616553,20830886,20859306,20924890,20940623,21516548,21669849,21692089,21708780,22035446,22148713,22295538,22311992,22549526,22725515,22753513,22786755,22828789,22850124,23156032,23320628,23789432,23873586,23920388,24023413,24042039,24238060,24305872,24319189,24552840,24639044,24744863,25100991,25109868,25586115,26050536,26111798,26189696,26211178,26213653,26429113,26430644,26549828,26588770,26763111,27145268,27191983,27270618,27291856,27344106,27502148,27567289,27621945,27785798,28333748,28339093,28548073,28617398,28621475,28641340,28942328,29085672,29281623,29291122,29306853,29308789,29416970,29445398,29463408,29892700,29992244,29992789,30332089,30434246,30464948,30602233,30701108,30703338,30926726,30938293,31072213,31497466,31762244,31906524,32067433,32350439,32560119,32565615,32605688,32721381,33146334,33690133,33928972,34009273,34176806,34228148,34345770,34369608,34552219,34579268,34625800,34736656,34830613,34859075,34893289,34980326,35163303,35300364,35300726,35349855,35448658,35577973,35780246,35815983,35871240,36254648,36447044,36635488,36681399,36740089,36740355,37120839,37145348,37219546,37444540,37685366,37706512,37770711,37876213,38190644,38262656,38315798,38522089,38665809,38770244,38845690,38954025,38972255,39078738,39163448,39189712,39445993,39927044,40355145,40786479,40814486,40916200,40979679,41214924,41402773,41550960,41682543,41830890,41844460,41861075,41875922,41945653,42050006,42231044,42357446,42419826,42638075,42690308,42786488,43045488,43166953,43187816,43271353,43415151,43886006,43942933,43994089,44058879,44088426,44191475,44231672,44299513,44321024,44493398,44619616,44933448,44935863,44996380,45298873,45446293,45524255,45739189,45851606,45981289,46017202,46030725,46443615,46614828,46744830,46750598,46766706,46978453,47115128,47442133,47644406,48079189,48134799,48282351,48426174,48469960,48501044,48586293,48659338,48702133,48834303,49099440,49122566,49179188,49181689,49271672,49539856,49622075,49760631,49821589,49861152,49989493,50081588,50197068,50213352,50233290,50294726,50550129,50640940,50649589,50714079,50852089,51022646,51165690,51682933,51746966,51837589,51876073,52372736,52415692,52552628,52556473,52593589,52741333,52854392,53004519,53029770,53105653,53170780,53190951,53303404,53356393,53470646,53492200,53495075,53575143,53582176,53638633,53995656,54117044,54359331,54391033,54528705,54529791,54562868,54576736,54629106,54688789,55140373,55236870,55360873,55430631,55485289,55516213,55639189,55674650,55732338,55786244,56083783,56093796,56267871,56297366,56352853,56422712,56490021,56496313,56553193,56565088,56613039,56805589,56995046,57791855,57840825,57980089,58103846,58111028,58125673,58136075,58163952,58241798,58315753,58472986,58552244,58598015,58770793,58919328,58923253,59114089,59461191,59536693,59543108,59546490,59594473,59632633,59726773,59777800,59800789,59909653,59976632,60153589,60178725,60202244,60279948,60399289,60745113,60750644,60769128,60828373,60835526,60975289,61039189,61173433,61188788,61208533,61226495,61265593,61287913,61331689,61384789,61395193,61398828,61533289,61641411,61643798,61665589,61696880,61713973,61735748,61744789,61860155,62012089,62016373,62028793,62084089,62086933,62097589,62117353,62125813,62137333,62138773,62141689,62500148,62853999,62979398,62986924,63122343,63475551,63516256,63635724,63773846,63804936,64132868,64190640,64194090,64367583,64915125,64955798,65000708,65034650,65207031,65278239,65434446,65607398,65737286,65738860,65758388,65992911,66082628,66284244,66489891,66809580,67250025,67396475,67473711,68090495,68304806,68344244,68365269,68470016,68473696,68811398,68858125,69242800,69350226,69408990,69513340,69763290,69942806,69951044,70317618,70591748,71151855,71186246,71252408,71263552,71444228,71455788,71519855,71733360,71780553,72214470,72344200,72415286,72537398,72651512,73037108,73471794,73750598,74036256,74092191,74232186,74306228,74414176,74669343,74854959,74879560,75255044,75895312,76147720,76515584,76595055,76603526,76628075,76660595,77028768,77032908,77281791,77415603,77739783,77767766,77883398,77898150,78041580,78399044,78886632,78914679,78918968,78980503,79024388,79612472,79713926,79797471,80053046,80119690,80158959,80165798,80171496,80175368,80700030,80727398,80875770,80966865,81316355,81387225,81396566,81689528,81701392,81708594,81732951,81797343,82172679,82346572,82380728,82390598,82443188,82500326,82629750,82828646,82926231,83046806,83091360,83244352,83290788,83416008,83472308,83549263,83589686,83711450,83715948,83913686,84239505,84600644,84727455,85196726,85368111,85382226,85567839,85666185,85823826,86040566,86080032,86133044,86267488,86364656,86512263,86657364,86813040,86930195,87700598,87903215,88138400,88371650,88630784,88640255,88747461,88783839,88892075,88901583,89122886,89261048,89564031,89723798,89855472,89981320,90056751,90192933,90197289,90375952,90657411,90812006,91088708,91289348,91300886,91322943,91377264,91474755,91590068,91828311,91900719,91914066,91953690,91956039,91992714,92059055,92171798,92600576,92678319,93031046,93220406,93477780,93649896,93767795,93843009,94166115,94342955,94437206,95594863,96143628,96389125,96762872,96797798,96840036,97050924,97160238,97238555,97249028,97573072,97579626,97664670,98028566,98083936,98119352,98202086,98231108,98368750,98547398,98954284,98975798,99095271,99155700,99463011,99709632,...,249535470965185882213179141808454042164089191292743683578614635353663484236255389602291065232273055058496831806651399685888076850433998477576972552188970091254506526184073173934682793238056453345551805672503717091944922701181467042494770396169165571274584046973727141989528909408700151162147358892642720103392111935320879206473221731654184827908295131507432811185209622703034317171190970453701021785001204036190107938866751780858553746324730945757727089409992798593792352872031639882084689078349446324817231268160118484147257702273487619006199108810864204620163580428307506956746692325767650633921713893107794090755095419822895290452521198030820498982985804194305972892390629183926751506827314281039701582305567738353252381088694335338635661003790003755183341544374192718245131777289972837295263410808259048674539387301106543100497965328459009147328084662759628481771173492947816780291455405610363857455679053809191606088143830848597753819652821343321325635065445362110669821143924627592227673021826014423767293683458612119886525828621661862896328418544188786886393259602186758623046475635603916256723714795708136819978343861942420384698270814536347941491570603939085614665526750694919717074204561930464079929196741527505540292850053608426544823383093853065456089542044843112970358004688132065738583248044447790437536836863025432756123641694793633252505462792611257686441406739570620609972900282705893880059201076456116679351148527646643307293140850139068604070871174899851318487312267289266551322587186437765317931121193036562836869215911357646749897198693859141775556670790050658674026889354356464804760672972480797170330286594252841768867377775524178293704005199282348475322764728233870930802972329836183613426242186969140544532503408024414168583266170421604347379699255441755277679388819085659444135403983230935145401498307798374431116217081591235382511623675439308833381898403940973809168266017937931260960603703622428652516056987578184345576084118316656201911558162828344747457337771717742042371885736785809535926920144995073067085018146708444111763066575186423459105465567275497479199249056416491532351191607456744453222413155583924763697939423996463334900551714556086238199373024937173796731929780041450682623812164958098464829612297601197881373798725439717154240590984214301065976195478790666555889624512338433604817431839174063641646428501828411867346795912533232771519253449719029030690130512970580901847099580597193029427186579952358843024051662130312047473482103649018707639881514302512998904676}
15767  8034129607572367486076688728005390459945582453656088493523127120: {15767,126088,141849,1023685,1212673,1228422,1463169,1732390,1745697,1809985,2078868,2171982,2281285,2438305,2533657,2737542,2925966,2943193,3086804,3193393,3289033,3477877,3619510,3980449,4186574,4343412,4409720,4546837,4559097,4561990,4703569,4839249,4960935,5016913,5081113,5291664,5319782,5474388,5885638,5905875,5953122,5980820,6149257,6194785,6299600,6506785,6825518,7087050,7176984,7350897,7433742,7491764,7559520,7628889,7772102,7808142,7908805,7959886,8063488,8074107,8372084,8461569,8504460,8841685,9002708,9071424,9092518,9490566,9750740,9763033,10132052,10205352,10396929,10610022,10638212,10702520,11354894,11481021,11700888,11960120,12040335,12376777,12593449,12595809,12770324,12843024,13152788,13163499,13455135,13907972,13946785,13947190,14100805,14331793,14352144,14448402,14474360,14475409,14508489,14981624,15024085,15235352,15337993,15542228,15596697,16146162,16283655,16406305,16736142,16736628,16854327,16909009,16920966,17139771,17222529,17340974,17369232,17681110,17862937,18003128,18028902,18243320,18418873,18760753,18809492,18924553,19444249,19466305,19522993,19540386,19687566,19914969,20064675,20253519,20261528,20319284,20473990,20523735,20815753,20838085,20985897,21046153,21217332,21267638,21402320,21483735,21764977,21833713,21891984,22003249,22106137,22319697,22794219,22915984,22976629,23359566,23536568,23537833,23695093,23880374,23913129,24026305,24077610,24496846,24568788,24628482,24772820,24971097,25005702,25324537,25449963,25575875,25579873,25682784,25767169,25780482,26025609,26288697,26302232,26311609,26478639,26826769,26869333,26895685,27135975,27272737,27397897,27649129,27812408,27889990,28454617,28529977,28562655,28615246,28831566,28893132,28945040,28982773,29150785,29168409,29590011,29654449,29727384,29736790,29758742,29896849,29900485,30026593,30073407,30213433,30297575,30382340,30394574,30448753,30466832,30468729,30691050,30798805,31246329,31288959,31387335,31722817,31798153,31831448,32056052,32258353,32274822,32563170,32737120,32993198,33038305,33053169,33187285,33443307,33467988,33479824,33716353,33824289,33931585,34114820,34209793,34268017,34275186,34290998,34377685,34734048,34783513,34908457,34980942,35041669,35417185,35684148,35714209,35801675,35810379,35880582,36177910,36338689,36357090,36360824,36458808,36829260,36833038,36958566,37053529,37365875,37438177,37490305,37664802,37789339,37898473,38081185,38376385,38702713,38780896,38883526,39026497,39042164,39075804,39112513,39167697,39284544,39316767,39517333,39645966,39702805,39824742,39883155,39918734,40390069,40717902,40757110,40905927,40937784,41016159,41225737,41253222,41678697,41908022,42411215,42500622,42542032,42563662,42785185,42926097,42962010,43112713,43170073,43224085,43282250,43347374,43413492,43420820,43427953,43628508,43936683,43991749,43998133,44125455,44168097,44195112,44240137,44332262,44821249,44839050,44988366,45318310,45558805,45651369,45697422,45794360,45820177,45826144,46051662,46055007,46247593,46390089,46431685,46805675,46884404,47032334,47067152,47133140,47246199,47643366,47738305,47754644,47828320,47859786,47905813,48051937,48167449,48209542,48462805,48908532,48954310,48987140,49177657,49369873,49403269,49438513,49494452,49719501,49908805,50360948,50520073,50680633,50893458,51145250,51181486,51265209,51342222,51505813,51518655,51554412,51775477,51841393,51868902,51938700,52104984,52220713,52305575,52470489,52479553,52609033,52726246,52788805,52950169,52950546,52951089,53170249,53172987,53233129,53362885,53483110,53670369,53684857,53731798,53806860,53835793,53984770,54381972,54474169,54639572,54670566,54953232,55289590,55401280,55562497,55576724,55718022,55774520,55822729,55829319,56166810,56245475,56313553,56522869,56528049,56559768,56901958,57285966,57393984,57473697,57682214,57886868,57980942,58075033,58155366,58207393,58268535,58405573,58413169,58618107,58745172,58784568,58862857,58864609,58890949,58893910,59290993,59301286,59890566,59911264,59914484,60515029,60587450,60626305,61221729,61226702,61249526,61374300,61473985,61589590,61822386,61828873,61924820,61982773,62153104,62156533,62326440,62345857,62355608,62436049,62601985,62746335,62766690,62813883,63021193,63075009,63116449,63301175,63346566,63536169,63570073,63629739,64035462,64106713,64179732,64376468,64568232,64766449,64781724,65080718,65112404,65465920,65519615,65690785,65829009,66067990,66132639,66347508,66408398,66463475,66481536,66629255,66740097,66865250,66929424,66951136,66977720,67072753,67400172,67494570,67618772,67646305,67688917,68106166,68203585,68220920,68520553,68777409,69025803,69030889,69054097,69234478,69660913,69732805,69922242,70117245,70125897,70150059,70153447,70528390,70672692,70675189,70706360,70720838,70881686,70921268,70940293,71433524,71466609,71478337,71488718,71994208,72083137,72479108,72638785,72639261,72668086,72704940,72706388,72751566,72838808,72846769,72862357,72989007,73190305,73649160,73683849,73768782,73905193,73907508,74143393,74309784,74347153,74411737,74428885,74620249,74722250,74791728,74970790,75023828,75122382,75252805,75295602,75320028,75349935,75377294,75442089,75484052,75569074,75601273,75938305,75961410,76485985,76533969,76748535,76908073,77121100,77169685,77541838,77551936,77620449,77647238,78075062,78103417,78125185,78539593,78559104,78623538,78733655,78828942,79078958,79281588,79395320,79544655,79756170,79955106,80166085,80205969,80238300,80373264,80494513,80597017,80600713,80766769,80769814,80993484,81025504,81175566,81239542,81250885,81625993,81796033,81844302,81865104,81943659,82015369,82157606,82173575,82188548,82197985,82436174,82578313,82603285,82855305,82888777,83123449,83511975,83598507,83679366,83805332,84140694,84163124,84446049,84634068,84667513,84847632,85073248,85257926,85376438,85430305,85492569,85587520,85592120,85823444,85854433,85898053,86553500,86891675,86942708,87037652,87155769,87166542,87245928,87362697,87438805,87620038,87635449,87709479,87828366,87888374,87990548,88239685,88301077,88378992,88468918,88507297,88653188,88785733,89065510,89079440,89305285,89314662,89319735,89441089,89666700,89964948,89992777,90303366,90419922,90430250,90814390,91125966,91153692,91253289,91296385,91374133,91484054,91758793,91783182,92098242,92465697,92466968,92545320,92603622,92807377,92882785,93002113,93017720,93124273,93269099,93434389,93599450,93750222,93756824,93931273,94068805,94090249,94150574,94469097,94480386,94752934,94869140,95009713,95055433,95184650,95274384,95453586,95644480,95654086,95660769,95707404,95974537,96199302,96285960,96291135,96443209,96445993,96521102,96993574,97191926,97423729,97433697,97501062,97505557,97551975,97962392,97998805,98151669,98195377,98244422,98411097,98489113,98540257,98605929,98608290,98620633,98637582,98648710,98715008,98780485,98789588,98976248,99123942,99426366,99515590,99559124,99661606,99806612,...,374303206447778823319768712712681063246133786939115525367921953030495226354383084403436597848409582587745247709977099528832115275650997716365458828283455136881759789276109760902024189857084680018327708508755575637917384051772200563742155594253748356911876070460590712984293364113050226743221038338964080155088167902981318809709832597481277241862442697261149216777814434054551475756786455680551532677501806054285161908300127671287830619487096418636590634114989197890688529308047459823127033617524169487225846902240177726220886553410231428509298663216296306930245370642461260435120038488651475950882570839661691136132643129734342935678781797046230748474478706291458959338585943775890127260240971421559552373458351607529878571633041503007953491505685005632775012316561289077367697665934959255942895116212388573011809080951659814650746947992688513720992126994139442722656760239421725170437183108415545786183518580713787409132215746272896630729479232014981988452598168043166004731715886941388341509532739021635650940525187918179829788742932492794344492627816283180329589889403280137934569713453405874385085572193562205229967515792913630577047406221804521912237355905908628421998290126042379575611306842895696119893795112291258310439275080412639817235074640779598184134313067264669455537007032198098607874872066671685656305255294538149134185462542190449878758194188916886529662110109355930914959350424058840820088801614684175019026722791469964960939711275208602906106306762349776977730968400933899826983880779656647976896681789554844255303823867036470124845798040788712663335006185075988011040334031534697207141009458721195755495429891379262653301066663286267440556007798923522712984147092350806396204458494754275420139363280453710816798755112036621252874899255632406521069548883162632916519083228628489166203105974846402718102247461697561646674325622386853073767435513158963250072847605911460713752399026906896891440905555433642978774085481367276518364126177474984302867337244242517121186006657576613063557828605178714303890380217492609600627527220062666167644599862779635188658198350913246218798873584624737298526787411185116679833619733375887145546909135994695002350827571834129357299059537405760695097894670062176023935718247437147697244418446401796822060698088159575731360886476321451598964293218185999833834436768507650407226147758761095462469642752742617801020193868799849157278880174578543546035195769455871352770649370895789544140779869928538264536077493195468071210223155473528061459822271453769498357014}
15768  8069551053123564628697470808496335619965466094727527199512143752: {110327,157610,189132,299231,456431,487847,535466,582047,644807,912746,1395431,1520087,1582367,1637896,1675727,1842633,1950892,1986407,2172431,2327231,2327596,2598585,2603378,2605367,2771824,2895976,3098231,3118302,3257973,3527807,3650056,3742007,3858505,3901288,3986327,4106313,4199687,4282346,4388949,4630206,4746527,4897967,5429265,5512150,5652167,5791216,6078796,6134186,6279861,6281831,6431231,6452332,6515118,6614580,6729431,6842985,6878231,7055552,7056527,7299184,7323431,7421906,7476025,7501007,7619231,7766831,7874500,7937496,7979673,8211582,8237807,8337386,8648231,8828457,8929683,8971230,9067178,9202727,9364705,9377231,9449400,9551447,9569312,9783287,9801196,9911656,9985727,10079360,10171852,10216607,10238277,10410856,10418207,10465105,10630575,10765476,10881578,11150613,11237646,11253385,11277767,11282092,11339280,11658153,11712213,11783378,11939829,11963306,12095232,12130127,12188425,12271487,12384431,12525431,12558126,12654088,12665065,12756690,13059407,13108921,13115447,13297765,13330933,13378150,13504062,13607136,13638777,13862572,13896647,13952207,14035487,14146696,14235849,14289266,14367887,14626110,14644946,14726687,14891831,14950150,15056687,15193847,15198078,15308028,15354578,15467567,15601184,15713231,15752737,15915033,15957318,15962905,16053780,16440985,16527431,16794412,17032341,17124032,17384965,17551332,17708567,17728837,17895047,17940180,17995178,18092950,18134231,18531431,18663431,18693866,18727030,18900527,19044190,19058231,19084487,19136192,19155486,19264536,19344652,19427785,19607927,19686167,19729182,19868447,19911026,20051486,20102231,20464607,20594497,20603378,20722487,20795596,20861958,20920785,21235847,21528216,21672603,21711540,22303487,22314856,22315504,22472436,22503910,22561288,22781831,22804150,22853028,22907231,22963372,23014453,23158976,23313342,23511865,23860586,23878487,24038536,24200426,24219243,24335857,24641831,24709106,24748009,25104213,25104942,25154567,25326910,25381449,25399105,25712087,25880927,25953167,26011461,26053848,26217431,26250088,26395346,26521665,26553292,26658478,26752900,27004692,27043353,27288431,27364980,27382847,27665327,27735767,27852517,27981196,27993431,28214238,28233578,28289776,28482647,28552247,28575431,28644980,28691231,29063378,29175407,29189312,29243929,29294846,29310579,29420710,29531349,29759596,29889578,30054386,30392292,30478926,30629231,30710985,30763847,30876266,30966025,31099127,31146088,31499087,31543367,31609727,31764287,31815721,31825998,31884172,31901457,32103480,32183786,32487647,32509226,32531207,32726831,32758384,32837976,32877790,32921807,33294796,33340936,33588431,33695231,33716567,33933284,34141607,34243712,34331831,34373976,34416167,34458287,34700812,34731287,34765510,34856831,35039349,35051596,35304852,35412266,35480231,35572178,35604047,35731946,35820561,35973767,36116415,36156373,36181300,36198431,36320567,36745269,36826367,36853182,36886727,36926927,36942723,37004906,37107431,37159230,37224278,37508553,37585607,37704431,37977925,38000231,38083540,38111186,38232337,38411327,38442088,38524176,38670723,38891212,39069431,39356831,39453348,39471287,39636512,39789310,39907367,40070065,40097876,40133207,40413887,40488431,40624972,40692767,40748327,40877687,40921400,41183758,41233106,41427647,41573087,41661772,41681831,41718612,41834985,41849780,41881246,41952431,41970407,42643525,42647567,42859007,42922869,42929231,43033096,43086767,43174007,43191431,43247349,43295807,43339698,43384178,43417560,43434527,43555487,43864727,44070892,44297426,44306831,44408087,44591076,44605185,44623984,44626487,44638113,44810231,44876807,45099052,45158327,45451030,45453887,45507026,45573510,45591861,45657578,45700248,46036575,46133447,46312064,46515431,46641256,46657487,46814567,46986431,47450231,47465567,47578864,47679431,47747172,47770607,47840776,47921927,48046826,48084078,48412233,48476120,48611744,48638378,48710567,48725231,48802705,48844755,48886007,49103687,49105680,49278088,49290887,49489726,49489797,49717727,50201982,50219736,50344487,50371967,50413127,50577047,50753327,50820767,51172230,51313607,51353087,51412779,51436497,51614447,51692231,51705167,52101072,52152887,52223596,52379392,52422356,52427306,52471413,52578431,52836647,52858226,52861288,53099656,53115407,53177540,53306831,53437247,53472647,53526222,53660231,53764847,53820873,54063431,54176831,54266865,54276025,54278207,54290536,54300647,54383966,54412367,54535635,54541236,54561157,54583712,54688212,54775367,54797087,54840431,55001831,55004296,55134578,55150847,55243890,55249557,55381847,55437849,55526831,55571596,55982231,56140247,56169647,56373431,56478767,56497203,56573687,56667496,56678186,56742527,56899607,57096146,57197927,57234796,57242950,57251231,57282680,57339431,57391967,57818567,57884656,57926207,57975431,58064927,58089167,58145447,58171344,58209287,58325289,58374431,58536047,58558847,58563246,58582244,58605505,58613706,58617578,58716431,58782887,58833940,58890796,58899431,58916425,58926816,58935431,58942607,59378567,59391887,59418431,59468949,59477687,59510327,59555687,59575007,59651567,59693305,59737113,59739431,59764247,59785400,59878101,59946287,59984488,59985578,60034607,60098231,60217007,60321431,60369887,60428231,60459647,60526727,60656831,60664178,60757967,60776831,60800231,60868492,60896327,60929896,61040207,61076853,61135665,61202927,61204466,61233925,61279487,61283231,61305527,61402216,61406676,61423007,61493231,61509431,61575287,61584407,61631831,61671647,61728431,61751687,61824527,61840487,61853452,61868065,61871231,61876586,61879833,61969967,61975127,61991807,61995047,62009231,62037047,62043887,62045231,62051831,62063207,62070431,62080727,62088287,62116247,62118647,62123231,62141327,62141831,62144426,62152967,62155607,62157167,62862033,62951185,62994932,63524488,63733957,63750933,63813048,63845493,64134866,64443015,64700878,64923375,65021061,65120238,65131230,65211376,65442762,66292668,66498393,67258575,67380266,67482549,67857944,67977465,68018546,68299465,68353612,68456296,68546133,68691540,68739216,69077493,69104438,69158536,69251600,69470905,69473312,69661226,69718150,69786578,69960652,70326606,70548501,70600728,70601452,70699710,70897316,71155946,71465049,71560492,71631966,71742480,71789679,72314313,72358585,72509296,72894088,73270976,73362798,73431465,73480178,73480710,74241678,74290696,74439092,74889080,74893105,75370732,75413024,75541422,75752426,76340187,76381288,76525312,76631596,76717875,76772229,77013333,77044178,77331618,77406025,77540488,77691380,77803353,77908050,77944510,78157476,78326896,78379424,78891986,79089369,79425819,79854088,80224665,80470585,80597697,80710290,80908597,80977155,81390505,81572958,81628972,81832400,81959358,82005849,82037221,82429848,82805546,82934385,83101920,83365086,83577033,83661780,83688920,83722150,83751844,83891306,84100012,84250215,84462088,84523465,84714892,84839652,85276150,85352937,85380616,85572976,85717093,85928949,86090976,86333906,86375632,86523321,86542706,86604217,86830302,86971413,87233049,87772012,87885866,87988178,88117758,88176852,88340865,88382950,88463344,88599026,88642048,88651585,88951929,88986796,89239232,89291905,89835849,89866896,89871726,89992760,90597746,90598885,90881175,90882985,90892586,91048510,91478378,91703212,91840053,91874289,91962578,92034404,92061450,92384385,92733579,92887230,93229656,93489660,93501196,93533412,93779785,93956906,94150035,94230256,94355065,94884266,95019849,95288812,95326693,96053193,96158378,96269598,96401375,96564702,96852348,96939920,97002088,97172586,97318676,97404266,97621077,97668606,98198880,98245132,98358376,98363378,98543344,99079712,99101985,99244150,99521262,99612597,99643178,99722304,99978986,...,561454809671668234979653069069021594869200680408673288051882929545742839531574626605154896772614373881617871564965649293248172913476496574548188242425182705322639683914164641353036284785627020027491562763133363456876076077658300845613233391380622535367814105690886069476440046169575340114831557508446120232632251854471978214564748896221915862793664045891723825166721651081827213635179683520827299016252709081427742862450191506931745929230644627954885951172483796836032793962071189734690550426286254230838770353360266589331329830115347142763947994824444460395368055963691890652680057732977213926323856259492536704198964694601514403518172695569346122711718059437188439007878915663835190890361457132339328560187527411294817857449562254511930237258527508449162518474841933616051546498902438883914342674318582859517713621427489721976120421989032770581488190491209164083985140359132587755655774662623318679275277871070681113698323619409344946094218848022472982678897252064749007097573830412082512264299108532453476410787781877269744683114398739191516738941724424770494384834104920206901854570180108811577628358290343307844951273689370445865571109332706782868356033858862942632997435189063569363416960264343544179840692668436887465658912620618959725852611961169397276201469600897004183305510548297147911812308100007528484457882941807223701278193813285674818137291283375329794493165164033896372439025636088261230133202422026262528540084187204947441409566912812904359159460143524665466596452601400849740475821169484971965345022684332266382955735800554705187268697061183068995002509277613982016560501047302045810711514188081793633243144837068893979951599994929401160834011698385284069476220638526209594306687742131413130209044920680566225198132668054931879312348883448609781604323324743949374778624842942733749304658962269604077153371192546342470011488433580279610651153269738444875109271408867191070628598540360345337161358333150464468161128222050914777546189266212476454301005866363775681779009986364919595336742907768071455835570326238914400941290830093999251466899794169452782987297526369869328198310376937105947790181116777675019750429600063830718320363703992042503526241357751194035948589306108641042646842005093264035903577371155721545866627669602695233091047132239363597041329714482177398446439827278999750751655152761475610839221638141643193704464129113926701530290803199773735918320261867815319052793654183807029155974056343684316211169804892807396804116239793202106815334733210292092189733407180654247535521}
15769  8105127441373866863847716587661337251129115407375632068950422932: {31534,236415,252176,283698,803199,1369119,1433159,2047370,2425346,2438615,2456844,2533979,2909495,2926338,3193799,3289451,3413627,3464780,3478319,3491394,3619970,3887039,3905067,4157736,4343964,4562570,4677453,4704167,4876610,5067314,5081759,5362907,5475084,5678891,5851932,5886386,5929079,6173608,6386786,6423519,6578066,6872699,6945309,6955754,7239020,7598495,7960898,8065415,8268225,8373148,8672699,8686824,8819440,9093674,9109499,9118194,9123980,9201279,9407138,9678498,9772677,9843125,9921870,10033826,10162226,10583328,10639564,10948776,11072327,11132859,11771276,11811750,11906244,11961640,12251495,12298514,12317373,12378359,12389570,12506079,12599200,12714815,13013570,13456845,13600767,13625051,13651036,14102615,14174100,14353968,14701794,14867484,14883167,14983528,15119040,15257778,15544204,15616284,15817610,15919772,16126976,16148214,16322367,16710287,16744168,16856469,16923138,17008920,17328215,17675067,17683370,17944959,18005416,18126719,18142848,18185036,18763151,18837189,18981132,19135035,19457639,19501480,19525499,19526066,19741127,19964459,20067225,20256093,20264104,20410704,20793858,20993015,21033719,21150971,21220044,21276424,21405040,21433899,21767759,21939165,21967419,22171799,22425225,22709788,22797117,22962042,22968827,22979567,23031867,23401776,23522171,23881451,23920240,23935977,24080670,24161339,24180815,24706859,24753554,25186898,25191618,25540648,25686048,25803479,25923227,25994495,26305576,26326998,26482751,26910270,26942927,26992767,27139425,27252827,27401399,27736151,27815944,27817439,27893570,27894380,28040799,28090545,28201610,28466939,28566285,28663586,28676891,28704215,28704288,28733229,28896804,28948720,28950818,28986479,28997867,29016978,29173319,29593773,29866539,29963248,30030431,30048170,30077229,30230759,30470704,30621179,30675986,30746519,30905067,31084456,31193394,31292937,31687259,31802219,32292324,32392511,32548667,32567310,32812610,33167039,33191615,33441125,33472284,33473256,33636827,33708654,33755865,33818018,33841932,34058651,34206225,34279542,34445058,34483067,34681948,34738464,34912919,34970013,34976495,35046167,35362220,35369447,35725874,35790879,35806225,35879351,36006256,36057804,36300639,36486640,36837746,37058267,37063659,37199495,37521506,37618984,37653959,37657413,37849106,37990365,38875691,38888498,38932610,39045986,39080772,39183167,39375132,39593019,39747179,39829938,39846599,39855215,39987717,40047767,40129350,40507038,40523056,40638568,40811099,40947980,41047470,41141447,41618495,41631506,41676170,41860679,41971794,42092306,42321357,42350367,42416605,42434664,42535276,42804640,42967470,43020767,43118327,43175591,43376015,43529954,43595067,43667426,43783968,43814495,43942269,44003759,44006498,44131065,44166431,44212274,44639394,44834367,44900087,45081579,45226625,45588438,45623099,45718389,45831968,45953258,46223879,46253627,46314399,46462199,46719132,47032487,47073136,47075666,47390186,47504219,47604425,47738997,47760748,47826258,48052610,48058079,48128759,48155220,48275679,48614015,48763839,48993692,49137576,49256964,49316685,49444859,49545640,49584059,49895579,49942194,50011404,50122345,50649074,50687111,50781215,50899926,51049079,51151750,51159746,51365568,51512399,51534338,51560964,52051218,52077215,52148265,52178027,52312225,52486427,52577394,52604464,52623218,52810391,52957278,52970567,53118399,53152859,53313659,53358267,53541791,53597919,53653538,53691719,53726939,53738666,53791370,54271950,54545474,54795794,55088615,55279773,55298258,55507359,55569599,55583927,55624816,55738845,55745567,55779980,55829867,55836417,56169707,56320751,56373815,56463611,56909234,56925167,57059954,57125310,57166779,57230492,57663132,57786264,57890080,57965546,58082459,58222487,58301570,58336818,58420667,58798331,59180022,59308898,59375701,59454768,59473580,59517484,59562119,59683965,59793698,59800970,59899259,60053186,60146814,60426866,60513719,60522767,60595150,60764680,60789148,60897506,60933664,60937458,61382100,61597610,61775637,61836779,61849659,62133467,62492658,62577918,62774670,62821869,62837567,62887631,63380027,63445634,63548567,63596306,63624119,63662896,63782327,63924767,64112104,64516706,64549644,65004359,65009547,65076267,65126340,65188559,65279495,65303039,65474240,65527945,65787899,65986396,66076610,66106338,66257447,66374570,66446139,66471925,66833627,66886614,66935976,66959648,67081487,67432706,67648578,67847927,67863170,68176545,68229640,68260539,68360265,68419586,68486367,68536034,68550372,68581996,68755370,69055151,69464495,69468096,69567026,69801311,69816914,69872327,69961884,70083338,70435451,70834370,70949399,71368296,71428418,71543495,71603350,71620758,71761164,71863019,72070239,72126117,72355820,72677378,72714180,72721648,72917616,72957567,73227805,73542425,73613495,73658520,73666076,73904327,73917132,73975451,74107058,74234589,74592167,74708039,74731750,74876354,74980610,75302973,75316151,75329604,75578678,75611579,75618047,75652319,75762479,75796946,75832727,76085615,76162370,76441439,76542167,76752770,76758345,77316815,77405426,77561792,77767052,78052994,78084328,78151608,78225026,78335394,78569088,78633534,78640959,78743665,79034666,79267799,79287339,79291932,79405610,79649484,79766310,79837468,80289333,80297279,80780138,81234407,81434399,81435804,81514220,81575949,81669191,81806747,81811854,81875568,82032318,82150919,82451474,82506444,82701867,82865835,83166059,83357394,83756651,83816044,84795551,84822430,84876827,85001244,85017279,85084064,85127324,85442015,85570370,85644219,85852194,85864425,85909079,85924020,86063579,86225426,86336891,86340146,86448170,86564500,86694748,86826984,86841640,86855906,86857259,87051047,87257016,87450815,87606971,87642779,87844869,87873366,87920559,87926367,87983498,87996266,88187567,88250910,88251815,88336194,88390224,88480274,88621645,88664524,89346959,89450615,89642498,89678100,89687111,89976732,89978367,90079019,90161639,90556367,90636620,90891359,90996267,91117610,91229051,91302738,91394844,91588720,91640354,91652288,91727461,91806699,91967099,92103324,92110014,92495186,92780178,92814879,92819519,92863370,93048865,93216639,93280957,93611350,93768808,93896639,94064668,94134304,94213415,94266280,94492398,94704827,94843739,94908887,95129879,95286732,95389547,95476610,95485019,95509288,95656640,95719572,95789495,95811626,96103874,96154727,96202299,96334898,96419084,96668039,96925610,97051317,97114225,97625927,97680357,97696845,97817064,97908620,97974280,98164143,98355314,98689439,98739746,98806538,98877026,98988904,99048239,99439002,99593159,99817610,...,748606412895557646639537425425362126492267573878231050735843906060990452708766168806873195696819165175490495419954199057664230551301995432730917656566910273763519578552219521804048379714169360036655417017511151275834768103544401127484311188507496713823752140921181425968586728226100453486442076677928160310176335805962637619419665194962554483724885394522298433555628868109102951513572911361103065355003612108570323816600255342575661238974192837273181268229978395781377058616094919646254067235048338974451693804480355452441773106820462857018597326432592613860490741284922520870240076977302951901765141679323382272265286259468685871357563594092461496948957412582917918677171887551780254520481942843119104746916703215059757143266083006015906983011370011265550024633122578154735395331869918511885790232424777146023618161903319629301493895985377027441984253988278885445313520478843450340874366216831091572367037161427574818264431492545793261458958464029963976905196336086332009463431773882776683019065478043271301881050375836359659577485864985588688985255632566360659179778806560275869139426906811748770171144387124410459935031585827261154094812443609043824474711811817256843996580252084759151222613685791392239787590224582516620878550160825279634470149281559196368268626134529338911074014064396197215749744133343371312610510589076298268370925084380899757516388377833773059324220218711861829918700848117681640177603229368350038053445582939929921879422550417205812212613524699553955461936801867799653967761559313295953793363579109688510607647734072940249691596081577425326670012370151976022080668063069394414282018917442391510990859782758525306602133326572534881112015597847045425968294184701612792408916989508550840278726560907421633597510224073242505749798511264813042139097766325265833038166457256978332406211949692805436204494923395123293348651244773706147534871026317926500145695211822921427504798053813793782881811110867285957548170962734553036728252354949968605734674488485034242372013315153226127115657210357428607780760434985219201255054440125332335289199725559270377316396701826492437597747169249474597053574822370233359667239466751774291093818271989390004701655143668258714598119074811521390195789340124352047871436494874295394488836892803593644121396176319151462721772952642903197928586436371999667668873537015300814452295517522190924939285505485235602040387737599698314557760349157087092070391538911742705541298741791579088281559739857076529072154986390936142420446310947056122919644542907538996714028}
15770  8140859444757197350409142370600816169029117788412487964473794873: {47301,220654,315220,378264,425547,487909,582121,598462,676261,912862,975694,1070932,1164094,1289614,1613701,1707049,1825492,1986661,2358469,2543941,2790862,3040174,3071055,3164734,3275792,3282949,3351454,3558889,3638019,3685266,3901784,3972814,4291561,4330975,4344862,4389507,4654462,4655192,5110309,5197170,5206756,5210734,5237091,5401907,5429955,5543648,5791952,5833189,6103081,6196462,6236604,6282649,6461929,6515946,6730309,6843855,6998041,7055614,7087141,7300112,7314915,7484014,7600971,7620229,7717010,7802576,7972654,8212626,8399374,8564692,8678629,8766361,8777898,8829579,9048775,9260412,9493054,9552709,9580179,9795934,9867099,10433631,10466435,10678249,10858530,11024300,11107909,11304334,11364841,11404975,11582432,11791621,11941347,12157592,12268372,12301381,12559722,12563662,12862462,12904664,13030236,13110587,13145221,13229160,13299455,13458862,13640511,13648069,13677291,13685970,13756462,14110707,14111104,14113054,14517747,14598368,14645989,14646862,14651147,14714095,14843812,14882805,14952050,15002014,15050739,15223321,15238462,15243339,15305509,15533662,15749000,15754739,15874992,15959346,15960421,16367401,16423164,16475614,16674772,17063795,17296462,17656914,17657641,17717625,17731091,17859366,17942460,17977321,18134356,18405454,18447771,18584355,18616871,18692389,18729410,18754462,18898800,19087129,19102894,19138624,19430255,19520355,19566574,19602392,19823312,19871209,19899715,19971454,20158720,20343704,20415781,20433214,20476554,20493289,20725381,20821712,20836414,20930210,20945947,21261150,21264409,21530952,21763156,22028329,22052691,22301226,22348067,22475292,22506770,22555534,22564184,22634281,22678560,22731295,22886667,22935529,23010661,23017379,23316306,23424426,23459941,23566756,23726415,23879658,23906629,23926612,24190464,24222321,24260254,24338951,24376850,24424489,24542974,24645349,24768862,25050862,25116252,25308176,25330130,25384707,25513380,25956901,26118814,26217842,26230894,26525055,26595530,26661866,26756300,27008124,27198899,27214272,27277554,27669349,27725144,27793294,27904414,28070974,28293392,28387235,28471698,28510021,28578532,28579609,28735774,29133721,29202661,29247647,29252220,29289099,29289892,29453374,29614789,29783662,29888101,29900300,30113374,30387694,30396156,30616056,30709156,30902761,30935134,31190787,31202368,31426462,31505474,31769029,31830066,31914636,31925810,31967209,32107560,32358667,32881970,32883481,32916611,33054862,33207301,33400729,33588824,33721669,34064682,34167961,34248064,34443063,34561007,34769930,34867975,34987429,35049961,35102664,35361541,35417134,35457674,35558747,35790094,35880360,35979301,35990356,36121005,36185900,36224389,36268462,36285481,36346501,36832069,37062862,37130331,37326862,37387732,37454060,37492201,37780347,37787427,37801054,38025829,38088380,38116462,38168974,38272384,38310972,38529072,38689304,38786329,38855570,38960101,39215854,39372334,39458364,39490497,39736894,39822052,39932569,40045609,40102021,40102972,40204462,40365405,40383001,40494889,40717801,40773349,40929214,41188994,41206756,41270041,41324869,41444974,41591192,41706649,41723916,41840355,41841570,41977189,42302415,42471694,42672169,42730259,42995379,43056432,43093801,43198489,43345206,43352435,43423080,43426227,43458949,43525467,43871941,43923241,44202775,44432281,44606974,44629712,44631008,44633881,44884261,44934121,44944872,45007820,45072255,45122576,45183671,45563662,45608300,45706056,45814462,45867781,45926744,46013979,46028906,46317952,46348741,46539109,46626684,46633861,46790091,47023730,47289061,47473669,47721172,47756974,47793961,48077072,48245401,48400852,48423961,48438486,48671714,48733669,48850965,48909061,49126681,49218915,49283662,49418212,49496018,49513861,50208426,50209884,50309134,50312089,50562981,50599621,50653820,50727027,50762898,50798210,50802841,50843269,51184975,51362281,51419313,51424174,51519529,51636709,51667587,51714469,51753241,51761854,51906334,52022922,52107696,52174981,52434862,52500176,52550821,52736041,52790692,52846309,53028649,53043330,53106584,53169095,53280901,53316649,53316956,53458921,53505800,53588811,53844229,54009384,54086706,54186949,54455941,54489241,54522469,54576862,54729960,54765694,55256619,55330654,55471534,55705034,55962392,55986862,56062441,56098091,56180521,56239129,56282259,56428476,56467156,56499301,56579552,56613061,56773659,56965294,57104494,57150862,57218149,57289960,57382462,57403369,57913129,57987109,58108969,58126756,58332747,58350814,58378624,58398915,58440601,58487858,58568979,58589692,58621158,58758121,58841420,58889881,58954789,59061529,59062698,59166469,59519192,59700935,59744907,59776921,59779156,59868901,59887081,59905189,60029929,60047461,60108772,60116869,60194025,60334489,60446629,60570469,60615721,60675049,60718789,60760557,60776101,60784584,60914341,60957852,61058089,61083289,61169221,61216741,61242115,61258462,61297129,61330501,61373989,61421970,61457509,61487641,61527694,61571205,61601689,61713541,61752532,61761061,61841449,61888069,61931161,61932050,61954201,61991749,62006761,62030341,62052121,62060329,62068249,62086789,62093701,62126569,62131609,62145001,62155801,62157349,62198254,62292176,62447259,62514255,62957691,62998174,63086734,63138459,63219454,63528574,63631442,63651996,63768344,63802914,64206960,64367572,64451205,64975294,65018452,65062414,65294931,65453662,65501139,65516768,65675952,65755580,65843614,66009747,66318411,66589592,66681872,66959091,67176862,67390462,67433134,67866568,68283214,68323787,68382657,68487424,68663662,68747952,68832334,68916574,68929887,69401624,69462574,69531020,69713662,69724975,70078698,70103192,70609704,70613499,70824532,70960462,71085279,71144356,71208094,71463892,71538115,71641122,71739387,71947534,72078915,72232830,72312746,72362600,72396862,72641134,73490538,73652734,73706364,73773454,73853854,73885446,74009812,74214862,74318460,74341975,74396855,74448556,74913291,75017106,75171214,75408862,75955850,75973611,75986435,76000462,76167080,76222372,76349889,76464674,76727625,76739619,76822654,76884176,77048352,77301507,77341446,77782424,78076827,78138862,78713662,78866091,78906696,78934827,78942574,79273024,79435917,79578620,79814734,80140130,80195752,80266414,80480307,80607999,80687055,80827774,80976862,81249944,81385534,81407925,81496654,81755374,81818211,81842800,82047707,82193691,82367516,82466212,82482995,82855294,82947387,83146174,83323544,83363662,83437224,83570627,83669970,83699560,83762492,83904862,83940814,85287050,85295134,85363851,85589931,85687965,85718014,85727495,85845738,85858462,86066192,86173534,86348014,86382862,86494698,86591614,86615291,86679396,86768356,86835120,86869054,86948319,87110974,87452355,87505227,87729454,88131659,88141784,88594852,88613662,88770033,88816174,88963347,89182152,89210370,89247968,89252974,89276226,89620462,89690547,89701455,89753614,90079779,90198104,90220221,90316654,90444775,90640299,90892725,90902060,90907774,91014052,91147020,91183722,91315156,91346259,91400496,91406187,92073150,92082595,92266894,92396415,92624128,93030862,93282512,93314974,93629134,93738987,93866877,93972862,94162005,94900462,94931134,95157728,95168451,95358862,95394459,95494344,95541214,95619251,95681552,95843854,96093652,96168156,96775059,96824466,96952240,97208815,97223488,97259267,97276756,97421134,97450462,97605410,97689510,97772014,98207374,98211360,98556176,98581774,98979452,98979594,99114915,99159507,99435454,99561855,99796835,...,1122909619343336469959306138138043189738401360817346576103765859091485679063149253210309793545228747763235743129931298586496345826952993149096376484850365410645279367828329282706072569571254040054983125526266726913752152155316601691226466782761245070735628211381772138952880092339150680229663115016892240465264503708943956429129497792443831725587328091783447650333443302163654427270359367041654598032505418162855485724900383013863491858461289255909771902344967593672065587924142379469381100852572508461677540706720533178662659660230694285527895989648888920790736111927383781305360115465954427852647712518985073408397929389203028807036345391138692245423436118874376878015757831327670381780722914264678657120375054822589635714899124509023860474517055016898325036949683867232103092997804877767828685348637165719035427242854979443952240843978065541162976380982418328167970280718265175511311549325246637358550555742141362227396647238818689892188437696044945965357794504129498014195147660824165024528598217064906952821575563754539489366228797478383033477883448849540988769668209840413803709140360217623155256716580686615689902547378740891731142218665413565736712067717725885265994870378127138726833920528687088359681385336873774931317825241237919451705223922338794552402939201794008366611021096594295823624616200015056968915765883614447402556387626571349636274582566750659588986330328067792744878051272176522460266404844052525057080168374409894882819133825625808718318920287049330933192905202801699480951642338969943930690045368664532765911471601109410374537394122366137990005018555227964033121002094604091621423028376163587266486289674137787959903199989858802321668023396770568138952441277052419188613375484262826260418089841361132450396265336109863758624697766897219563208646649487898749557249685885467498609317924539208154306742385092684940022976867160559221302306539476889750218542817734382141257197080720690674322716666300928936322256444101829555092378532424952908602011732727551363558019972729839190673485815536142911671140652477828801882581660187998502933799588338905565974595052739738656396620753874211895580362233555350039500859200127661436640727407984085007052482715502388071897178612217282085293684010186528071807154742311443091733255339205390466182094264478727194082659428964354796892879654557999501503310305522951221678443276283286387408928258227853403060581606399547471836640523735630638105587308367614058311948112687368632422339609785614793608232479586404213630669466420584184379466814361308495071042}
15771  8176747738602810251850589233687066702019939174347621625636143695: {63068,330981,394025,472830,504352,567396,897693,1338665,1369293,1463541,1606398,1746141,1905629,1934421,2281865,2738238,2866318,3414061,3887533,3981461,4073293,4094740,4186293,4547993,4560261,4747101,4850692,4877230,4913688,5018189,5027181,5067958,5527899,5679613,5818990,5852676,5959221,6150821,6337981,6387598,6508445,6517293,6578902,6827254,6929560,6956638,6981693,6982788,7239940,7774078,7795755,7810134,7816101,8315472,8687928,9125140,9294693,9354906,9408334,9753220,9773919,10134628,10163518,10583421,10637893,10705865,10725814,10950168,11226021,11291581,11357782,11575515,11703864,11772772,11858158,11958981,12318939,12347216,12599061,12773572,12847038,13156132,13166847,13745398,13780375,13890618,13911508,14239581,14478040,14693901,15196990,15335465,15341909,15921796,16102333,16130830,16287795,16536450,16746296,16956501,17152093,17345398,17373648,17638880,17800741,18187348,18218998,18236388,18247960,18402558,18554765,18814276,18839583,18845493,18929381,19293693,19356996,19449221,19545354,19686250,19743661,19748521,19843740,20067652,20188293,20324452,20528955,20634693,20843465,21166656,21169581,21279128,21746773,21897552,21970293,22111781,22144654,22174633,22265718,22428075,22503021,22521389,22667945,22857693,23300493,23542552,23623500,23812488,23923280,23939019,24259501,24502990,24597028,24634746,24713421,24756718,24779140,25012158,25198400,25429630,25944693,26027140,26485371,26789049,26833613,26913690,27201534,27203945,27250102,27302072,27608181,28094115,28131693,28205230,28223533,28348200,28461893,28654341,28707936,29349861,29390221,29403588,29458445,29648989,29734968,29766334,29908265,29957181,29967056,30046361,30221141,30238080,30515556,30625093,30636541,30649821,30678989,30714831,31088408,31232568,31254621,31395315,31635220,31839544,31841641,31891725,32253952,32266589,32296428,32396653,32644734,32710469,33420574,33445375,33451839,33488336,33712938,33760155,33833301,33846276,33853141,34017840,34656430,34974459,35136639,35350134,35366740,35454421,35723165,35819487,35889918,36010832,36253438,36285696,36347981,36370072,36390381,36392293,36565275,36612365,36814461,37153293,37375375,37526302,37576293,37674378,37908149,37962264,37995195,38270070,38353789,38386445,38492501,38838493,38915278,39002960,39036461,39050998,39052132,39178221,39326763,39346341,39482254,39795701,39893295,39928918,39992799,40134450,40185901,40251133,40512186,40528208,40821408,40916331,41094541,41587716,41689941,41856621,41986030,42067438,42106461,42300361,42301942,42440088,42552848,42707547,42810080,42867798,43103661,43535518,43878330,43934838,44180061,44343598,44675493,44759269,44832821,44850450,44987945,45119341,45170061,45232375,45419576,45581541,45594234,45812489,45823721,45924084,45937654,45959134,46063734,46402701,46468261,46734665,46803552,46817575,47038501,47044342,47139693,47258211,47610475,47745099,47762902,47840480,47871954,47888715,48161340,48322678,48361630,48967093,49322955,49413718,49507108,49582293,49777565,49850141,50128715,50373796,50383236,51081296,51097023,51216233,51372096,51508445,51606958,51846454,51988990,52079293,52154895,52611152,52653996,52965502,53125701,53159653,53186511,53246741,53685141,53820540,53849741,53885854,53985534,54278850,54402693,54505654,54802798,55472302,55594293,55631888,55634878,55787140,55788760,55797301,55990293,56081598,56181090,56259775,56403220,56701581,56933878,57010375,57054853,57074009,57132570,57174693,57253461,57327172,57353782,57408430,57408576,57466458,57793608,57897440,57901636,57972958,57995734,58033956,58229929,58265893,58283355,58346638,58823781,58831421,58879661,59058501,59187546,59383247,59605341,59651465,59733078,59846621,59918693,59926496,60060862,60096340,60154458,60306693,60461518,60501065,60726421,60818549,60941408,61015541,61242358,61340293,61351972,61393821,61493038,61664941,61772765,61783491,61810134,62167461,62168912,62303869,62386788,62585874,62762355,63317275,63374518,63604438,63707541,63932941,64097573,64584648,64719689,64783301,64785022,65017809,65097334,65134620,65520149,65625220,65988365,66334078,66382381,66383230,66646195,66882250,66910461,66944568,66946512,67224709,67273654,67417308,67511730,67636036,67683864,67706393,67748549,68059621,68117302,68345493,68412450,68559084,68721693,68890116,68966134,69043359,69363896,69476928,69825838,69940026,69952990,70092334,70171283,70461581,70535595,70583945,70724440,70738894,71024869,71093701,71451748,71581758,71612450,71635461,71758702,72012512,72115608,72601278,72657729,72658445,72674789,72908101,72973280,73007571,73206253,73237115,73337293,73430461,73551775,73675492,73721993,73914521,73925493,74116534,74127318,74244027,74398990,74723945,75043012,75135965,75237968,75307918,75312639,75314826,75463701,75698212,75842461,75980730,76144347,76197315,76535213,77011241,77124061,77136261,77190665,77581229,77642781,77751382,77776996,77859501,77865220,78034383,78091972,78109673,78161544,78366334,78652293,78750264,78785789,78923341,79186038,79278121,79494358,79564995,79659876,79693198,79710430,79975434,80095534,80258700,80459465,81014076,81046112,81130059,81273065,81277136,81610633,81622198,81647141,81865293,81895960,82094940,82148541,82194475,82282894,82467869,82995981,83207301,83236990,83263012,83352340,83557551,83721358,83943588,83980293,84184612,84642714,84700734,84833210,84869328,85070552,85197061,85447941,85609280,85656741,85726293,85934940,86041534,86073693,86136989,86236654,86351182,86752030,86913775,87059908,87062221,87190134,87301549,87334852,87425533,87526221,87567936,87628990,87731787,87884538,87931737,88007518,88012996,88262130,88332862,88424548,88530665,88594047,88930445,89278788,89329865,89464181,89668734,89800174,90074773,90163158,90453250,91176876,91246198,91391293,91436778,91663936,91739123,91815733,91887693,91906516,92132955,92291541,92421401,92447758,92507254,92512265,92628798,92898075,92924398,93060695,93297381,93438264,94064974,94146272,94151332,94497261,94630101,94780372,94829181,95008438,95184329,95208850,95277965,95292861,95447163,95477994,95521496,95652516,95704371,95872429,96105220,96116158,96257518,96310440,96551358,96680701,97228030,97250293,97462941,97527678,97593621,97972061,97987384,98058781,98180493,98275152,98513928,98633370,98765421,98889718,98985133,99091280,99168118,99473275,99791158,99884388,99895829,99963221,...,1684364429015004704938959207207064784607602041226019864155648788637228518594723879815464690317843121644853614694896947879744518740429489723644564727275548115967919051742493924059108854356881060082474688289400090370628228232974902536839700174141867606103442317072658208429320138508726020344494672525338360697896755563415934643694246688665747588380992137675171475500164953245481640905539050562481897048758127244283228587350574520795237787691933883864657853517451390508098381886213569204071651278858762692516311060080799767993989490346041428291843984473333381186104167891075671958040173198931641778971568778477610112596894083804543210554518086708038368135154178311565317023636746991505572671084371397017985680562582233884453572348686763535790711775582525347487555424525800848154639496707316651743028022955748578553140864282469165928361265967098311744464571473627492251955421077397763266967323987869956037825833613212043341094970858228034838282656544067418948036691756194247021292721491236247536792897325597360429232363345631809234049343196217574550216825173274311483154502314760620705563710540326434732885074871029923534853821068111337596713327998120348605068101576588827898992305567190708090250880793030632539522078005310662396976737861856879177557835883508191828604408802691012549916531644891443735436924300022585453373648825421671103834581439857024454411873850125989383479495492101689117317076908264783690399607266078787585620252561614842324228700738438713077478380430573996399789357804202549221427463508454915896035068052996799148867207401664115561806091183549206985007527832841946049681503141906137432134542564245380899729434511206681939854799984788203482502035095155852208428661915578628782920063226394239390627134762041698675594398004164795637937046650345829344812969974231848124335874528828201247913976886808812231460113577639027410034465300740838831953459809215334625327814226601573211885795621081036011484074999451393404483384666152744332638567798637429362903017599091327045337029959094758786010228723304214367506710978716743202823872490281997754400699382508358348961892579109607984594931130811317843370543350333025059251288800191492154961091111976127510578724073253582107845767918325923127940526015279792107710732113467164637599883008808085699273141396718090791123989143446532195339319481836999252254965458284426832517664914424929581113392387341780104590872409599321207754960785603445957158380962551421087467922169031052948633509414678422190412348719379606320446004199630876276569200221541962742606563}
15772  8212793001147659137301781899926770329258576914538437739380915531: {78835,94602,173371,362227,441308,630440,644971,709245,756528,851094,975818,1164242,1196924,1352522,1395787,1582771,1825724,1951388,2048971,2141864,2328188,2409597,2579228,2975971,3227402,3414098,3650984,3973322,4107357,4299477,4716938,4808371,5087882,5118425,5533267,5581724,5983987,6063365,6080348,6142110,6329468,6551584,6565898,6702908,6790747,7117778,7276038,7315845,7370532,7601937,7680307,7768867,7803568,7945628,8583122,8661950,8689724,8728485,8779014,9049925,9088627,9308924,9310384,9581397,9698971,9868353,10220618,10240881,10394340,10413512,10421468,10434957,10474182,10803814,10823107,10859910,11087296,11406425,11583904,11661117,11666378,11715201,12191525,12206162,12274771,12392924,12473208,12565298,12668285,12923858,13031892,13118971,13460618,13687710,13789147,13955971,13996082,14032359,14111228,14112501,14174282,14600224,14629830,14653009,14715965,14950867,14968028,15033307,15197971,15201942,15240458,15245277,15434020,15444427,15605152,15945308,15966965,16088721,16179907,16425252,16445165,16798748,16828771,17036673,17129384,17231971,17357258,17389385,17532722,17555796,17659158,17787237,17793427,17873347,18097550,18520824,18589387,18619237,18986108,19105418,19160358,19270557,19591868,19613371,19734198,19902245,20599733,20618097,20779771,20835927,20867262,20932870,20948609,21356498,21701227,21717060,22048600,22215818,22608668,22729682,22734185,22795485,22809950,22838467,22913707,23164864,23517845,23583242,23882694,23889313,24181771,24196245,24315184,24536744,24602762,24754301,24804675,25084565,25119444,25127324,25405565,25724924,25809328,26008771,26018097,26060472,26221174,26224987,26290442,26458320,26512267,26598910,26726971,26917724,27202357,27225427,27281022,27296138,27328497,27354582,27371940,27512924,27603837,27859601,28221414,28222208,28226108,28281667,28490971,29035494,29196736,29291978,29293724,29302294,29318031,29321707,29428190,29529375,29687624,29765610,29904100,30004028,30101478,30446642,30476924,30486678,30611018,30683227,30746285,30973925,31067324,31086067,31498000,31509478,31552771,31749984,31823813,31918692,31920842,32362781,32533925,32540971,32734802,32736667,32846328,32951228,33216981,33349544,33398577,33512971,33641347,34127590,34342267,34468771,34565401,34592924,34909267,35313828,35315282,35435250,35462182,35594347,35718732,35884920,35954642,36165569,36209587,36268712,36514507,36754485,36810908,36895542,36938371,36952119,37118947,37135077,37168710,37233742,37384778,37458820,37508924,37518237,37797600,37953067,38144445,38174258,38205788,38242061,38277248,38860510,39040710,39120187,39133148,39204784,39464707,39544025,39646624,39742129,39742418,39799430,39942908,40258507,40317440,40370535,40687408,40802301,40831562,40866428,40875153,40953108,40986578,41148427,41450762,41643424,41672828,41695267,41803771,41860420,41891894,42307845,42502027,42522300,42528818,42872971,43061904,43240387,43526312,43768241,44015827,44056658,44105382,44208425,44321467,44422771,44602452,44649501,44674771,44696134,44950584,45013540,45111068,45128368,45173371,45268562,45357120,45462590,45518107,45762187,45773334,45871058,46004467,46021322,46034758,46632612,46848852,46919882,47002387,47133512,47452830,47650027,47759316,47786971,47813258,47853224,48148987,48380928,48444642,48520508,48677902,48753700,48815165,48848978,48967101,48990307,49085948,49207387,49250587,49290698,49537724,49678627,49847827,49996133,50101724,50130861,50182771,50232504,50389771,50499397,50569407,50616352,50660260,50676547,50769414,51026760,51904147,51913802,51984645,52057507,52237628,52435684,52461788,52622347,52659427,53025201,53050110,53191060,53206987,53323732,53385907,53512600,53703427,53834877,54016248,54083587,54320971,54380157,54397798,54428544,54555108,54817771,55338698,55361227,55450288,55548067,55586588,55808828,55913971,56141948,56210971,56289453,56356771,56414587,56500771,56511567,56586307,56586784,56774470,56921971,56943396,57020042,57139987,57157064,57159218,57273907,57379747,57405105,57458371,57471548,58015147,58039627,58267442,58372917,58398187,58405322,58495294,58504440,58559971,58576497,58578198,58579784,58740547,58829107,58906748,59150947,59223381,59229578,59416771,59567324,59670427,59708371,59776202,59800600,59838907,59857267,59893377,60124027,60201675,60226748,60242971,60406771,60438667,60454507,60532627,60693409,60768279,60775388,60792312,60923371,61016107,61232112,61238371,61418312,61437307,61537747,61575907,61585267,61757347,61805522,61870268,61883885,61900627,62024971,62039227,62061547,62069971,62132827,62150971,62155507,62185027,62187907,62381574,62404736,62852924,62967245,62979045,63010948,63101157,63452913,63538058,63660132,63829272,63851620,63934418,64215120,64301697,64717334,65303277,65763940,65766962,65817495,65833222,65902257,66109724,66414602,66515397,66801458,67177648,67275675,67443338,68129364,68335922,68391351,68496128,68886126,68906481,68938701,69095601,69122014,69539860,69733925,69735950,69974858,70099922,70205328,70504025,70566513,70723082,70834268,70915348,71117494,71580188,71644353,71658965,71760720,71807931,71958602,71980712,72242010,72371800,72377045,72448778,72484017,72536924,72542445,72570962,72693002,73664138,74120577,74125724,74260662,74436733,74653724,74775464,74908120,74984402,75120425,75560694,75574854,75602108,76051658,76176760,76232924,76337948,76544768,76621944,76689965,77058144,77378608,77410437,77572658,77711140,77769681,77920202,77983485,78431708,78744668,78916728,78980994,79448253,79473788,79644104,79865138,80091218,80204042,80205944,80408924,80730810,80766002,80828781,80978301,80989778,81418275,81435602,81546698,81758481,81858428,82031525,82204197,82377988,82413512,82540082,82649738,82889948,83182384,83208453,83413298,83447832,83452317,83581309,83680710,83683140,83954378,84122397,84271635,84545045,84604830,84943388,85344338,85400817,85460518,85698855,85738961,85990758,86030673,86112645,86112864,86187602,86199687,86396978,86690412,86704870,86846160,86852454,86917898,86959437,86993601,87050934,87519957,87743882,87846482,88405550,88781319,88864562,89213948,89259424,89262016,89267762,89314685,89599617,89768522,89868242,89889744,90015640,90091293,90144510,90231687,90245152,90367342,90692277,91127324,91216600,91412112,91628924,91735562,91853488,91863537,92027958,92057812,92094365,92239557,92635904,92697482,92715201,93078218,93253368,93267722,93580182,93803765,93878811,94047460,94578122,94622765,94947338,95061777,95406657,95442344,95513948,95587922,96154144,96490802,96801704,96847922,96876972,97177533,97221245,97331525,97343428,97467338,97614965,97646001,97701930,97818122,98253362,98437830,98567324,98836424,98992036,99027722,99501117,99574845,...,2245819238686672939918612276276086379476802721634693152207531718182971358126298506420619587090457495526471486259862597172992691653905986298192752969700730821290558735656658565412145139142508080109966251052533453827504304310633203382452933565522490141471256422763544277905760184678301360459326230033784480930529007417887912858258995584887663451174656183566895300666886604327308854540718734083309196065010836325710971449800766027726983716922578511819543804689935187344131175848284758938762201705145016923355081413441066357325319320461388571055791979297777841581472223854767562610720230931908855705295425037970146816795858778406057614072690782277384490846872237748753756031515662655340763561445828529357314240750109645179271429798249018047720949034110033796650073899367734464206185995609755535657370697274331438070854485709958887904481687956131082325952761964836656335940561436530351022623098650493274717101111484282724454793294477637379784376875392089891930715589008258996028390295321648330049057196434129813905643151127509078978732457594956766066955766897699081977539336419680827607418280720435246310513433161373231379805094757481783462284437330827131473424135435451770531989740756254277453667841057374176719362770673747549862635650482475838903410447844677589104805878403588016733222042193188591647249232400030113937831531767228894805112775253142699272549165133501319177972660656135585489756102544353044920532809688105050114160336748819789765638267651251617436637840574098661866385810405603398961903284677939887861380090737329065531822943202218820749074788244732275980010037110455928066242004189208183242846056752327174532972579348275575919806399979717604643336046793541136277904882554104838377226750968525652520836179682722264900792530672219727517249395533794439126417293298975797499114499371770934997218635849078416308613484770185369880045953734321118442604613078953779500437085635468764282514394161441381348645433332601857872644512888203659110184757064849905817204023465455102727116039945459678381346971631072285823342281304955657603765163320375997005867599176677811131949190105479477312793241507748423791160724467110700079001718400255322873281454815968170014104965431004776143794357224434564170587368020373056143614309484622886183466510678410780932364188528957454388165318857928709593785759309115999003006620611045902443356886552566572774817856516455706806121163212799094943673281047471261276211174616735228116623896225374737264844679219571229587216464959172808427261338932841168368758933628722616990142084}
15773  8248995913548817802073857907604767353157308858080863190269863636: {15773,126136,141903,551635,661962,788050,945660,1008704,1134792,1276641,1463727,1496155,1746363,1795386,1874131,2028783,2252107,2282155,2439235,2677330,2738586,2910235,2927082,3194611,3212796,3224035,3492282,3811258,3868842,3981967,4548571,4563730,4705363,4841103,5018827,5083051,5121147,5364271,5476476,5732636,5930587,5959983,6151603,6828122,6874447,6977155,7075407,7600435,7631823,7753411,7775066,7911835,7962922,8146586,8189480,8319583,8372586,8378635,9095986,9111823,9120522,9213165,9494202,9701384,9754460,9827376,9848847,9932035,10036378,10054362,10135916,10676667,10862155,10914057,11055798,11359226,11636155,11637980,11705352,11918442,12301642,12675962,12775196,12874683,12992925,13016890,13026835,13034586,13157804,13168521,13628527,13654508,13859120,13913276,13963386,13965576,14314927,14479880,14988211,15330927,15491155,15548156,15591510,15620268,15632202,15711273,16205721,16289865,16630944,17375856,17399371,17499567,17639035,18131347,18250280,18309243,18589386,18709812,18710035,18816668,18847947,19292525,19385787,19451707,19462603,19506440,19547838,19931635,20190927,20269256,20327036,20531565,20994123,20998435,21156367,21166842,21261423,21275786,21411730,21451628,21469651,21900336,21944745,22452042,22583162,22715564,22802913,22860687,22985443,23151030,23407728,23545544,23704171,23716316,23732635,23917962,24167503,24489835,24637878,24694432,24713167,25198122,25547144,25603807,25694076,25976671,26035887,26299083,26312264,26333694,26488737,26616187,27146325,27490796,27560750,27743227,27781236,27823016,28260835,28465531,28474207,28479162,28658127,28684207,28740537,28956080,28993891,29180851,29387802,29601297,29908303,30050203,30393980,30670930,30682927,30683818,30754363,31021771,31300893,31399305,31409155,31695343,31735123,31810351,31843592,32034747,32058067,32156155,32204666,32261660,32575590,33052987,33072900,33175507,33323727,33492592,33581227,33647155,33743011,33913002,34070467,34094523,34214925,34304186,34391155,34491871,34634911,34690796,34747296,35277760,35282635,35374863,35601482,35824041,36093871,36256987,36352627,36374696,36376651,36437996,36472776,36495920,36617155,36805116,36904143,37067743,37109530,37380125,37505035,37628552,37679166,37690986,37696027,37858762,38085523,38096155,38497423,38587386,38657827,38713992,38834155,38898442,39090708,39193171,39211987,39331761,39372500,39435663,39487322,39497042,39532531,39687480,39757327,39898365,40135304,40376586,40648904,40921533,40944207,41031873,41057910,41189035,41241823,41269386,41686930,41871571,42332121,42333312,42339162,42558256,42825871,43241155,43444591,43493546,43553241,43795104,43937967,43940586,43953441,44008603,44015011,44142285,44223562,44289308,44349266,44531436,44648415,44856150,45006042,45042778,45152217,45335890,45589171,45669963,45715386,45730017,45818347,45829603,45843787,45916527,46013635,46600986,46719667,46823525,46886155,47031283,47060047,47085104,47247000,47264217,47624976,47757235,47846560,47878038,47881263,48519002,48916435,48971947,48971971,49005980,49102203,49194056,49269492,49426842,49513436,49558280,49928635,50012431,50024316,50396800,50859260,51083035,51191385,51214747,51257311,51525571,51889386,52054280,52091035,52107091,52325525,52857871,52970742,52972923,52984243,53152875,53193273,53253547,53464627,53578098,53667226,53741023,53827380,53931963,54403068,54407890,54500204,54604144,54748387,55216362,55343313,55753065,55844143,55850613,56077167,56188230,56263386,56266925,56388835,56410460,56447066,56696400,56923786,57081307,57261387,57308682,57415872,58097311,58290765,58561065,58699722,58780442,58807176,58887187,58913803,58916890,59170507,59297978,59469936,59532668,59613627,59699145,59816530,59854303,59858107,59914362,59934112,60092722,60442282,60446611,60476160,60538243,60650635,60942125,61023343,61031112,61247343,61250186,61273082,61299642,61357435,61357978,61429662,61479867,61852591,61875211,61922155,62006611,62176143,62176816,62465136,62509242,62627155,62790630,62837841,62983123,63270440,63325325,63640603,63679088,63683282,63783450,63793227,64131727,64507904,64533178,64592856,64793306,64813747,65289468,65297035,65420938,65428531,65488867,65528527,65544605,65577235,65781067,66001267,66084987,66158073,66488825,66654665,66841148,66890750,66903678,66967951,66976672,67044201,67365787,67425876,67520310,67666602,67692552,67706282,67741171,67757371,67876747,67902843,68035680,68193885,68350687,68660001,68806587,69031983,69052137,69269203,69312860,69483235,69528043,69688591,69761035,69948918,70177435,70180201,70273278,70379823,70700268,70733480,70908842,71176927,71179245,71252611,71446330,71638974,71719887,71779836,71839435,71876467,72021664,72111823,72362827,72506876,72571392,72666963,72684271,72695962,72740144,72780762,72784586,73012027,73016853,73130550,73224730,73273467,73628922,73633435,73651387,73936047,74306586,74440603,74459155,74649487,74750750,75052604,75152586,75283435,75348756,75630907,75671851,75816298,75924528,75969235,75990390,76154121,76540140,76562083,76707578,76772890,76985002,77337835,77676986,77830556,77870703,77917807,78005920,78072922,78101996,78104264,78356442,78547951,78566155,78653526,78692682,78763685,78964508,79129627,79575165,79591402,79637983,79786590,79814525,79857836,79985598,80066467,80268900,80371802,80502266,81005107,81024372,81056416,81596697,81642816,81832662,82172203,82189082,82204925,82478671,82610347,82637155,83008047,83175432,83200771,83379882,83496547,83512051,83608507,83713242,83778607,83792971,83972060,84134876,84212922,84428047,84600722,84603884,84701491,84880176,85105696,85161705,85263967,85415094,85530063,85620160,85735596,85738827,85888387,86071387,86207322,86481871,86924825,87038947,87071036,87346171,87401163,87607983,87742941,87756660,87867297,87869676,88360122,88542835,88644185,88687196,88844367,89350986,89475235,89518538,89664303,89665642,89700900,89975890,90238682,90340122,90464750,90671155,90839152,91163082,91188468,91252687,91579123,91624978,91647442,91686907,91848168,91875308,91918268,92042767,92077471,92127468,92383711,92657155,92708283,92805402,92936522,93304673,93317155,93469330,93470323,93572361,93607104,93635150,94077002,94088684,94127407,94279386,94502635,94516422,95092987,95196547,95220950,95291155,95307087,95422435,95490198,95525804,95680960,95743908,95777430,95901627,96200851,96322680,96461971,96645356,96723260,97076001,97138925,97462027,97543603,97934186,98039635,98430835,98526991,98578483,98645910,98650443,98749833,98817523,98827436,99014216,99074011,99164586,99342235,99555130,99621903,99700282,99827467,...,3368728858030009409877918414414129569215204082452039728311297577274457037189447759630929380635686243289707229389793895759489037480858979447289129454551096231935838103484987848118217708713762120164949376578800180741256456465949805073679400348283735212206884634145316416858640277017452040688989345050676721395793511126831869287388493377331495176761984275350342951000329906490963281811078101124963794097516254488566457174701149041590475575383867767729315707034902781016196763772427138408143302557717525385032622120161599535987978980692082856583687968946666762372208335782151343916080346397863283557943137556955220225193788167609086421109036173416076736270308356623130634047273493983011145342168742794035971361125164467768907144697373527071581423551165050694975110849051601696309278993414633303486056045911497157106281728564938331856722531934196623488929142947254984503910842154795526533934647975739912075651667226424086682189941716456069676565313088134837896073383512388494042585442982472495073585794651194720858464726691263618468098686392435149100433650346548622966309004629521241411127421080652869465770149742059847069707642136222675193426655996240697210136203153177655797984611134381416180501761586061265079044156010621324793953475723713758355115671767016383657208817605382025099833063289782887470873848600045170906747297650843342207669162879714048908823747700251978766958990984203378234634153816529567380799214532157575171240505123229684648457401476877426154956760861147992799578715608405098442854927016909831792070136105993598297734414803328231123612182367098413970015055665683892099363006283812274864269085128490761799458869022413363879709599969576406965004070190311704416857323831157257565840126452788478781254269524083397351188796008329591275874093300691658689625939948463696248671749057656402495827953773617624462920227155278054820068930601481677663906919618430669250655628453203146423771591242162072022968149998902786808966769332305488665277135597274858725806035198182654090674059918189517572020457446608428735013421957433486405647744980563995508801398765016716697923785158219215969189862261622635686741086700666050118502577600382984309922182223952255021157448146507164215691535836651846255881052030559584215421464226934329275199766017616171398546282793436181582247978286893064390678638963673998504509930916568853665035329828849859162226784774683560209181744819198642415509921571206891914316761925102842174935844338062105897267018829356844380824697438759212640892008399261752553138400443083925485213126}
15774  8285357159895953728036934988365339793488609411160791195527597927: {110369,157670,189204,204893,346742,582269,645053,676433,724454,739169,882616,992943,1182075,1260880,1289942,1418490,1513056,1614113,1676369,1702188,1769693,1951636,1987169,2049233,2328484,2393848,2606369,2693079,2698973,2705044,2791574,2976353,3007133,3165542,3467873,3621053,3651448,3902776,4015995,4079393,4097942,4107879,4283728,4292669,4353533,4390623,4656376,4748369,4819194,4839293,5111633,5158456,5238423,5353169,5716887,5744573,5803263,5894753,5951942,6104669,6164573,6454804,6791633,6828196,6845595,7059293,7148369,7165795,7301968,7444769,7681313,7946644,8214714,8241053,8329169,8475869,8488711,8598954,8914769,9118973,9293693,9433876,9616742,9729233,9874013,10162973,10175764,10236850,10242183,10307153,10422353,10566173,11066534,11163448,11168033,11367869,11424893,11662599,11944383,11967974,12126730,12160696,12193075,12219879,12284220,12304673,12361169,12558879,12658936,12669895,13064669,13103168,13131796,13148753,13204769,13405816,13484369,13581494,13643979,13680783,14041169,14124413,14235556,14241303,14456669,14547475,14552076,14631690,14649953,14741064,15054567,15062813,15081543,15203874,15227453,15360614,15473873,15537734,15607136,15610493,15891256,15968995,16019153,16371869,16447255,16583697,16858013,17038839,17068135,17166244,17234333,17323900,17379448,17391595,17456970,17558028,17662493,17715869,17735599,17795873,17877663,17902433,17982269,18099850,18177254,18452463,18617848,18620768,19013943,19162794,19171169,19397942,19435195,19525335,19551879,19694369,19736706,19772573,20441236,20473169,20481762,20550653,20602351,20731169,20782673,20788680,20808413,20827024,20842936,20869914,20945079,20948364,21039713,21167933,21321533,21607628,21646214,21704273,21719820,21806033,22085213,22174592,22262369,22353751,22640669,22690973,22812850,22942013,23023231,23167808,23322234,23332756,23387265,23430402,23448303,23516369,23520835,23839133,24209873,24345139,24383050,24412324,24431453,24549542,24757447,24785848,24872669,24946416,25130596,25286993,25336570,25408795,25847716,25892093,25964369,26012513,26036573,26063784,26237942,26372573,26754653,26814535,26921236,27375420,27465533,27578294,27677393,27747869,27863143,27884079,27911942,27992164,28064718,28169213,28222456,28225002,28285793,28348564,28394455,28495133,28518353,28564769,29188253,29200448,29255083,29259660,29306018,29321757,29417693,29431930,29645395,29901734,29936056,29942369,30066614,30101213,30282269,30395942,30403884,30440273,30480916,30490554,30844769,30868040,30888854,30956669,31112993,31210304,31357853,31623869,31750263,31827859,31844669,31890616,31913679,31933930,32020733,32117595,32177442,32359814,32502269,32611169,32850504,32890330,32924983,32936669,33597496,33657542,33678063,33795869,33874743,34073346,34157153,34258768,34363495,34463942,34714516,34726545,34747169,34778770,34998113,35065444,35111592,35118391,35318316,35413793,35567791,35574474,35586854,35620433,35723453,35746694,35876943,35990369,36170167,36195100,36235553,36337373,36661853,36843473,36903869,36956817,37041648,37178774,37238474,37797183,37860413,37972216,37992475,38210836,38246923,38320716,38429393,38541114,38914493,39183736,39226742,39468396,39490013,39500541,39642269,39804490,39888593,40152353,40327075,40433213,40767869,40897313,41173373,41199466,41236194,41341125,41374673,41559542,41671854,41720093,41734524,41828573,41865740,41897218,42712996,42718743,42741127,43044799,43055393,43247453,43363495,43369169,43402454,43434120,43576913,43937693,43971869,44081703,44091233,44097200,44431636,44446973,44480669,44682173,44949053,45195163,45217336,45230369,45443933,45459364,45468370,45525713,45547495,45590970,45619900,45672413,45676934,45769853,45827414,45883169,45915473,46006395,46025727,46124669,46329728,46364369,46396193,46649633,46681169,46838369,47035690,47166484,47535869,47658173,47765388,47778626,47810333,48262013,48291869,48306999,48363542,48392490,48440669,48630368,48863385,49073488,49129313,49205524,49215625,49215953,49508602,49531169,49602269,49609350,49786193,49982753,50169130,50191613,50205473,50238888,50254648,50439869,50480993,50811130,50820893,50847869,50869503,50888273,51142493,51380669,51420113,51449848,51456279,51618656,51681233,51726103,51771869,51990353,52017542,52036194,52066913,52120944,52442348,52449974,52580884,52594769,52681373,52779869,52916640,53024534,53108513,53197820,53402223,53453942,53502269,53537633,53829533,53835448,53887313,53990813,54161873,54364769,54404714,54450854,54476369,54562044,54592276,54656994,54697169,54709164,54743880,54806369,55025848,55207674,55308893,55361635,55371773,55496669,55664295,55719202,55753169,55878031,56103869,56172833,56202269,56221853,56231633,56367713,56442828,56444416,56452216,56511773,56518749,56521313,56536479,56540369,56563334,56606813,56635169,56654033,56788143,56803793,56887133,56981942,57079073,57160253,57347153,57582269,57853373,57878369,57881079,58026833,58059473,58070988,58124369,58268513,58347473,58347663,58393472,58583956,58587448,58594769,58604588,58636062,58643414,58670369,58841213,58856380,59057693,59058750,59086339,59121233,59163233,59191073,59230983,59245563,59266973,59375248,59531220,59567393,59612669,59689373,59720993,59802269,59808200,59820833,59851613,59876093,59984669,60008056,60142673,60202956,60227933,60255953,60409169,60425213,60472913,60564879,60642269,60873053,60893284,60936893,60941393,60953848,60973356,61029713,61072673,61093853,61110653,61222036,61244369,61252193,61257475,61358369,61365713,61366454,61401953,61440893,61465169,61492433,61492570,61586865,61627169,61663073,61700669,61723133,61747793,61782269,61795169,61802813,61868369,61891795,61895633,61904079,61917473,61947850,61978193,62019869,62036669,62039933,62044769,62082269,62085053,62112353,62124113,62126369,62134648,62158973,62162333,62164769,62172134,62187869,62200673,62202653,62204369,62204573,62530395,62996000,63018956,63105542,63499968,63508743,63574075,63647626,63837384,63841684,64725562,65067850,65081942,65240319,65469604,65473334,65692656,65902456,65910879,66335343,66433962,66523899,66699088,66797154,67025942,67282694,67284225,67509063,67564167,68003835,68125255,68255180,68341231,68573079,68684534,68937542,69130802,69185848,69818534,69901479,70513075,70627656,70630564,70870500,70924364,71188694,71437464,71769840,71817057,71909284,72331138,72419174,72537424,72778503,73029014,73508970,73621816,73791084,73876742,73904238,74140263,74237894,74270154,74337420,74415835,74467484,74769556,74917640,75017848,75036474,75595200,75906134,76288890,76348516,76411576,76484122,76554496,77721020,77834079,78081420,78240374,78266296,78409568,78929414,79088050,79293248,79456113,79484258,79484836,79598860,79885816,80367147,80500839,80517014,80634880,80741070,81374816,81604602,81611835,81663124,81732856,81750306,81906216,81973156,82296854,82824543,82901524,83286848,83345656,83390534,83551435,83607542,83720840,83783788,84282345,84395079,84615690,84670599,85004054,85044600,85057636,85385679,85745942,85963023,86123808,86480774,86637439,86641075,87052624,87536482,88031654,88049583,88113316,88154143,88170663,88210764,88375335,88416850,88642934,88845542,88946967,89204904,89299002,89349542,89392268,89724795,89871543,89901168,90027080,90139083,90222136,90256736,90346742,90537124,90633595,90663423,90714240,90925180,91036214,91524374,91546668,91742116,91875279,91909623,91949463,92008934,92036967,92042644,92069516,92144493,93265224,93697704,93763863,93815755,93839764,94004774,94185945,94267024,94905660,95300054,95518632,95524923,95573942,95626516,95675175,95706448,96297974,96761856,96799767,96889284,97041016,97189959,97288195,97355804,97507400,97627495,97630330,97697956,97934202,97980614,98131407,98171896,98414774,98501174,98581396,98705635,99075448,99357254,99695654,99822295,99992266,...,5053093287045014114816877621621194353822806123678059592466946365911685555784171639446394070953529364934560844084690843639233556221288469170933694181826644347903757155227481772177326563070643180247424064868200271111884684698924707610519100522425602818310326951217974625287960415526178061033484017576015082093690266690247803931082740065997242765142976413025514426500494859736444922716617151687445691146274381732849685762051723562385713363075801651593973560552354171524295145658640707612214953836576288077548933180242399303981968471038124284875531953420000143558312503673227015874120519596794925336914706335432830337790682251413629631663554260124115104405462534934695951070910240974516718013253114191053957041687746701653360717046060290607372135326747576042462666273577402544463918490121949955229084068867245735659422592847407497785083797901294935233393714420882476755866263232193289800901971963609868113477500839636130023284912574684104514847969632202256844110075268582741063878164473708742610378691976792081287697090036895427702148029588652723650650475519822934449463506944281862116691131620979304198655224613089770604561463204334012790139983994361045815204304729766483696976916701572124270752642379091897618566234015931987190930213585570637532673507650524575485813226408073037649749594934674331206310772900067756360120946476265013311503744319571073363235621550377968150438486476305067351951230724794351071198821798236362756860757684844526972686102215316139232435141291721989199368073412607647664282390525364747688105204158990397446601622204992346685418273550647620955022583498525838149044509425718412296403627692736142699188303533620045819564399954364610447506105285467556625285985746735886348760189679182718171881404286125096026783194012494386913811139951037488034438909922695544373007623586484603743741930660426436694380340732917082230103395902222516495860379427646003875983442679804719635657386863243108034452224998354180213450153998458232997915703395912288088709052797273981136011089877284276358030686169912643102520132936150229608471617470845993263202098147525075046885677737328823953784793392433953530111630050999075177753866400574476464883273335928382531736172219760746323537303754977769383821578045839376323132196340401493912799649026424257097819424190154272373371967430339596586017958445510997756764896374853280497552994743274788743340177162025340313772617228797963623264882356810337871475142887654263262403766507093158845900528244035266571237046158138818961338012598892628829707600664625888227819689}
15775  8321877427223854405184436207148711996219220807195493633344846798: {31546,236505,252272,283806,520113,772289,1086681,1103270,1323924,1576100,1891320,1934913,2017408,2094617,2127735,2269584,2439545,2553282,2661581,2910605,2927454,2992310,3195017,3381305,3414929,3492726,3590772,3748262,4057566,4074329,4187361,4504214,4513649,4564310,4705961,4748313,4878470,5083697,5354660,5364953,5477172,5681057,5820470,5854164,5931341,6146913,6339593,6389222,6400889,6425592,6448070,6875321,6984564,7228791,7622516,7737684,7963934,8068505,8288129,8535245,8665577,8927913,9097142,9127460,9410726,9682206,9768017,9933305,10037654,10166102,10242294,10640609,10728542,10952952,11076569,11465272,11730089,11792345,11861174,11919966,12303206,12322071,12719705,12898431,13656244,13748894,13904849,13954310,14150814,14425113,15200870,15207017,15263646,15355275,15506822,15550132,15823670,15925844,16106441,16290617,16293172,16378960,16414745,16599801,16639166,16716689,16745172,16757270,16917641,17743913,17794445,17951961,18190095,18191972,18223646,18237569,18241044,18426330,18988404,19402768,19508920,19654752,19697694,19864070,20072756,20108724,20271832,20372241,20562893,21056897,21353334,21457805,21654875,21687617,21724310,21752321,21828114,21947535,22111596,22718452,22805811,22988381,23040921,23272310,23275960,23306601,23410704,23836884,24603284,24694649,25351924,25550392,25551545,25749366,25824989,25985850,26033780,26053670,26069172,26185455,26194049,26315608,26325041,26337042,26492897,26953289,27009535,27149775,27257054,27265881,27309016,27718240,27826552,27904289,27926772,27931152,27972593,28629854,28744191,28959760,28997597,29096913,29165945,29397809,29605059,29656553,29976422,30464297,30515405,30661854,30722643,30982310,31025753,31096312,31183020,31240536,31264404,31304871,31413245,31422546,31814417,32309645,32404937,32411442,32469321,32579730,33225689,33261888,33585521,33651545,34219275,34227257,34285769,34751712,34798742,34983351,34990205,34999134,35145603,35278070,35435705,35463473,35732441,35893097,36261641,36262694,36500560,36574575,36618486,36662093,36824313,36907697,37072481,37178772,37419624,37420070,37633336,37695894,37712777,38004855,38101145,38122073,38585050,38771574,38848409,38903414,38925206,39012880,39062621,39095676,39217001,39356913,39565169,39863270,40063169,40295753,40381854,40538512,40654072,40656257,41063130,41105033,41157209,41367441,41639069,41867913,41988246,41996870,42097077,42312734,42333684,42337503,42522846,42551572,42656393,42823460,42903256,42939302,43037249,43393145,43800672,43831805,43889490,43959027,43972817,44020637,44147895,44183417,44852601,44904084,44917289,45018617,45099921,45166324,45243875,45431128,45593913,45605826,45721374,45735831,45970886,46184633,46302060,46333281,46725641,46815456,46873373,47050529,47091088,47106017,47408342,47432632,47465270,47763545,47813033,47835924,47900895,48147617,48266163,48335006,48539721,48978233,48979670,49275756,49316489,49335495,49388864,49395689,49426334,49941713,50396244,50486313,50612393,50632013,51094288,51110019,51207614,51221321,51264017,51388152,51532157,51695913,51953342,52071774,52168155,52332175,52507049,52598166,52624528,52636097,52667388,52977474,53197793,53232374,53334617,53361711,53380281,53391245,53620041,54179021,54182273,54292650,54367817,54981592,55121500,55486454,55539545,55562472,55646032,55768161,55851281,55857711,56135549,56521670,56824205,56931062,56948414,56958324,57024875,57187889,57316254,57368414,57481074,57524777,57664649,57811671,57912160,57987782,58104737,58237337,58361702,58775604,58840113,58958105,59202594,59706735,59816606,59865761,60100406,60537617,60545981,60787960,61341860,61365854,61367636,61506905,61508726,61799199,61854291,61860497,62043542,62339313,62468393,62507781,62601786,62798610,62818310,62845827,62911817,63031757,63149273,63390686,63470246,63620702,63687184,63949289,64069494,64116134,64312310,64409332,64419089,64523320,65103681,65151180,65497241,65552935,65640617,65726105,66105974,66145800,66282929,66351014,66497275,66647454,66860129,66985184,67162454,67294310,67374401,67486022,67557977,67749833,67826004,68140934,68189046,68202555,68240345,68386455,68429850,68483009,68515401,68608372,68741121,68782310,68983742,69066401,69220841,69269822,69381592,69494592,69649373,69900089,69928781,70212449,70553535,70555520,70565270,70749726,71202964,71516249,71648082,71667939,72187742,72513974,72545313,72588735,72705254,72749392,72753302,72875992,72927449,72945552,72991840,73021553,73229945,73234310,73255735,73570475,73610232,73660841,73808286,74135486,74219060,74262903,74414025,74760250,75010070,75253695,75257104,75358332,75381972,75392054,75420473,75647129,75717524,75792041,75892721,76116605,76171046,76192310,76216695,76527545,76948289,76994846,77174772,77315654,77418521,77427984,77668310,77741261,77796884,78026313,78054291,78181416,78386342,78423974,78663522,78674961,78730793,78745000,78773695,78871326,78944369,78974644,78994084,79065062,79081469,79374960,79514654,79536801,79796730,79802105,80016137,80076893,80180913,80270608,80638769,80753172,81265649,81297808,81607071,81676281,81837005,81838889,81843066,81888414,81985491,82063746,82115820,82378070,82483646,82538772,82724297,82811511,83198321,83286941,83373860,83578803,83743142,84664242,84666624,84678324,84845001,84910889,85116512,85264121,85318975,85472913,85651742,85899593,85900409,85977473,86286941,86482310,86691017,86807729,86889182,86987092,87106482,87590208,87678017,87681473,87875934,87880433,87881172,87906882,87954093,87965121,88017206,88030022,88222121,88284570,88288205,88447124,88578616,88588125,88655455,88698532,89062872,89296830,89381981,89387537,89712300,89886605,90012084,90085556,90304434,90510029,90671780,91178342,91339926,91415849,91430772,91460034,91560689,91636694,91659206,91687574,91762447,91808129,91833054,91839521,92027270,92049681,92084681,92238855,92921775,92989097,93041633,93084355,93122369,93136097,93201972,93258201,93316531,93439334,93461945,93647050,93772310,94062566,94120094,94170208,94494000,94528434,94635521,94658313,95249952,95427233,95435645,95471439,95514470,95693120,95756076,95762526,96024449,96391889,96474353,97038004,97088343,97151275,97276529,97474793,97601775,97622913,97665449,97832870,97943894,97943942,98011960,98204406,98210001,98248409,98388112,98538984,98853684,99011081,99026872,99116560,99356045,99498575,99650943,99778601,99840281,99857270,...,6737457716060018819755836828828259138430408164904079456622595154548914074378895519261858761271372486579414458779587791518978074961717958894578258909102192463871676206969975696236435417427524240329898753157600361482512912931899610147358800696567470424413769268290632833717280554034904081377978690101353442791587022253663738574776986754662990353523968550700685902000659812981926563622156202249927588195032508977132914349402298083180951150767735535458631414069805562032393527544854276816286605115435050770065244240323199071975957961384165713167375937893333524744416671564302687832160692795726567115886275113910440450387576335218172842218072346832153472540616713246261268094546987966022290684337485588071942722250328935537814289394747054143162847102330101389950221698103203392618557986829266606972112091822994314212563457129876663713445063868393246977858285894509969007821684309591053067869295951479824151303334452848173364379883432912139353130626176269675792146767024776988085170885964944990147171589302389441716929453382527236936197372784870298200867300693097245932618009259042482822254842161305738931540299484119694139415284272445350386853311992481394420272406306355311595969222268762832361003523172122530158088312021242649587906951447427516710231343534032767314417635210764050199666126579565774941747697200090341813494595301686684415338325759428097817647495400503957533917981968406756469268307633059134761598429064315150342481010246459369296914802953754852309913521722295985599157431216810196885709854033819663584140272211987196595468829606656462247224364734196827940030111331367784198726012567624549728538170256981523598917738044826727759419199939152813930008140380623408833714647662314515131680252905576957562508539048166794702377592016659182551748186601383317379251879896927392497343498115312804991655907547235248925840454310556109640137861202963355327813839236861338501311256906406292847543182484324144045936299997805573617933538664610977330554271194549717451612070396365308181348119836379035144040914893216857470026843914866972811295489961127991017602797530033433395847570316438431938379724523245271373482173401332100237005155200765968619844364447904510042314896293014328431383071673303692511762104061119168430842928453868658550399532035232342797092565586872363164495956573786128781357277927347997009019861833137707330070659657699718324453569549367120418363489638397284831019843142413783828633523850205684349871688676124211794534037658713688761649394877518425281784016798523505106276800886167850970426252}
15776  8358557405525006736637149283257415979565415064874927271980423754: {47319,220738,315340,378408,409786,425709,582343,676519,693484,1164538,1290106,1352866,1448908,1478338,1520863,1654905,1707703,1765232,1970125,1985886,1987423,2364150,2452183,2521760,2579884,2836980,3007519,3026112,3228226,3352738,3404376,3539386,3829923,3903272,3974338,4098466,4384519,4391181,4488465,4656968,4787696,5202943,5212738,5239089,5384023,5386158,5397946,5410088,5583148,5622393,5952706,6014266,6086349,6331084,6693325,6756321,6846465,6935746,7000783,7089919,7242106,7302896,7317705,7445743,7623223,7805552,8031990,8158786,8195884,8215758,8567456,8585338,8707066,8730705,8769823,8781246,9312752,9496738,9528145,9583833,9638388,9672105,9678586,10032113,10223266,10316912,10476846,10706338,11409325,11433774,11489146,11606526,11789506,11903884,11945901,12209338,12329146,12391063,12729319,12909608,13486183,13583266,13645713,13656392,13691190,14116089,14118586,14296738,14331590,14523309,14603936,14734663,14889538,14899903,15056481,15249153,15311743,15362626,15363441,15639919,15893288,16048519,16092813,16429428,16455319,16482106,16658338,16951738,16977422,17070305,17197908,17664919,17737853,17791761,17829538,17879949,18237946,18454809,18587386,18779263,18867752,19173823,19233484,19437665,19458466,19748026,19907305,20325946,20351528,20366465,20473700,20484366,20501863,20614306,20623341,20811319,20844706,20931465,21132346,21196519,21226221,22133068,22326896,22336066,22356593,22417063,22735738,22739965,22801305,22849786,22895469,23020423,23026157,23260233,23325198,23544583,23735505,23842519,23888766,23895389,23935948,24253460,24321392,24348233,24386150,24439758,24508663,24568440,24609346,24722338,24876223,24958749,25090945,25117758,25135905,25317872,25339790,26040319,26129338,26206336,26263592,26297506,26409538,26811632,26968738,27162988,27209273,27287958,27335469,27361566,27398743,27639495,27751903,28082338,28173319,28248826,28398065,28471112,28482606,28522519,28592143,28913338,29094950,29104152,29215519,29258801,29263380,29299906,29482128,29546541,29627863,29796105,30109134,30125626,30163086,30309343,30407748,30454906,30721228,30754105,30947746,31075468,31214272,31220986,31689905,31782512,31849423,31937990,32030001,32038306,32371009,32507143,32542225,32586465,32742171,32743738,32833303,32894510,32929169,33167394,33716026,33800983,34077678,34136270,34183519,34332488,34437103,34468666,34574189,34647800,34758896,34783190,34908465,34913940,35066023,35116056,35128519,35324986,35431738,35439919,35471198,35572313,35591746,35755326,35804866,35964538,35995903,36199700,36302263,36354508,36363319,36904926,36909583,37210543,37235696,37241536,37540349,37866319,38027886,38325588,38342338,38513383,38624049,38688343,38795884,38870390,38978775,39050670,39080505,39094063,39103758,39388738,39473412,39505563,39545146,39752237,39894919,40121143,40514263,40792903,40882472,40885581,40946338,40963524,41101306,41204702,41344783,41462338,41503553,41563519,41565346,41577360,41616826,41654048,41685872,41739828,41890158,41896728,42079426,42335866,42373519,42643066,42746561,42944781,42957223,43215256,43292428,43408546,43439640,43612066,43779373,43944919,44170426,44349184,44524738,44707502,44906623,44956519,44964633,45006343,45200909,45254383,45281338,45381946,45625700,45696319,45884026,45939319,45992781,46046462,46228543,46335616,46473465,46644468,46657519,46665512,46774530,46860804,46896606,47032738,47041670,47133819,47543983,47678266,47864023,48108893,48315103,48419746,48617163,48690278,48766100,48824648,48862906,48869595,49099084,49152319,49514894,49571696,49625143,49745338,49892832,50008849,50214319,50261192,50380063,50512241,50573986,50673140,50817590,50870383,51429319,51695432,51781183,51784186,51819919,51928738,52025026,52073146,52127568,52198113,52241263,52475884,52498701,52579519,52616743,52745146,52917105,53189465,53346103,53509306,53529325,53629070,53804743,53842472,54012319,54394041,54519919,54553183,54750840,54881863,54927729,54931066,55043503,55156588,55354786,55495738,55641319,55726286,55763863,55768158,55823884,55984328,56065183,56124583,56129436,56130105,56242519,56338426,56444912,56450004,56457905,56532319,56543841,56571586,56697128,56788910,56990266,57036706,57129538,57358519,57593743,57877575,57972823,58144183,58157361,58355121,58376506,58387809,58400896,58510166,58519320,58612036,58643514,58682383,58794343,58816519,58835386,58863860,58948063,59140519,59244919,59290790,59468263,59794905,59803468,59814943,59833519,59872112,59884738,59925319,59943463,60086023,60133228,60202426,60501823,60564538,60572781,60610183,60708893,60744319,60791884,60807768,60830503,60880546,60886519,60954919,60961832,60981108,61130849,61210519,61426663,61499743,61529983,61549783,61594695,61644463,61689538,61715023,61736080,61764919,61777708,61796743,61885303,61912519,61913338,62036503,62061343,62075383,62180143,62191303,62193319,62203903,62225986,62420608,62451917,62715706,62982369,62995305,63247738,63469101,63500526,63655718,63689338,63766493,63781232,63784269,63827358,63867860,64041466,64235190,64354884,64408953,64719628,65004538,65222338,65701008,65780660,65834235,65849966,65873338,66037673,67194992,67315084,67356126,67591738,67749486,68146692,68314306,68408739,68517536,68582061,68726990,68901875,68927884,68956329,69429032,69453090,69494338,69557540,69996226,70130888,70223184,70236782,70636632,70827586,71112513,71135582,71148948,71173708,71197905,71240866,71446906,71493388,71753886,71980738,72340334,72390200,72471106,72502509,72674746,73323706,73469505,73686946,73807738,73913634,74083296,74139501,74357548,74476948,75594366,75720826,75944432,75984950,76421672,76493846,76641432,76677325,76709545,76811421,76858786,77082228,77506289,77828986,77930013,78107661,78367472,78453484,78897249,78936792,78980026,79001082,79284538,79466211,79608980,79777186,79848561,80304706,80511665,80654150,80866426,81438975,81535738,81794626,82346746,82398932,82472388,82682250,82749346,83119084,83229681,83343708,83440186,83469048,83657146,83731480,83794436,84782505,85396593,85422621,85425992,85437486,85482254,85760465,85974381,86052621,86089598,86110786,86221611,86494906,86648513,86726990,86738338,86804908,86868240,86981673,87153826,87542553,87875386,87943738,88163406,88182466,88194400,88803891,88863272,88893946,88961338,89003705,89364346,89724909,89898106,90150609,90390326,90434672,90460738,90887866,90918728,90936740,91051426,91094990,91181940,91239800,91344826,91353868,91539706,91654828,91766338,91830946,92012790,92048781,92051454,92249338,92263089,92659456,92728738,92773825,92792386,93065313,93299266,93362338,93676738,93902679,94071380,94197915,94227465,94332968,94646905,95071738,95086029,95205369,95316346,95375357,95431053,95530776,95557252,95620666,96104241,96174201,96468465,96524026,96583738,96613998,96727084,96784980,96881338,97246105,97260736,97726770,98146976,98258626,98411048,98431250,98431906,98718305,98742605,99017204,99062338,99158961,99204538,99218700,99526521,99572386,99965506,99971181,...,10106186574090028229633755243242388707645612247356119184933892731823371111568343278892788141907058729869121688169381687278467112442576938341867388363653288695807514310454963544354653126141286360494848129736400542223769369397849415221038201044851205636620653902435949250575920831052356122066968035152030164187380533380495607862165480131994485530285952826051028853000989719472889845433234303374891382292548763465699371524103447124771426726151603303187947121104708343048590291317281415224429907673152576155097866360484798607963936942076248569751063906840000287116625007346454031748241039193589850673829412670865660675581364502827259263327108520248230208810925069869391902141820481949033436026506228382107914083375493403306721434092120581214744270653495152084925332547154805088927836980243899910458168137734491471318845185694814995570167595802589870466787428841764953511732526464386579601803943927219736226955001679272260046569825149368209029695939264404513688220150537165482127756328947417485220757383953584162575394180073790855404296059177305447301300951039645868898927013888563724233382263241958608397310449226179541209122926408668025580279967988722091630408609459532967393953833403144248541505284758183795237132468031863974381860427171141275065347015301049150971626452816146075299499189869348662412621545800135512720241892952530026623007488639142146726471243100755936300876972952610134703902461449588702142397643596472725513721515369689053945372204430632278464870282583443978398736146825215295328564781050729495376210408317980794893203244409984693370836547101295241910045166997051676298089018851436824592807255385472285398376607067240091639128799908729220895012210570935113250571971493471772697520379358365436343762808572250192053566388024988773827622279902074976068877819845391088746015247172969207487483861320852873388760681465834164460206791804445032991720758855292007751966885359609439271314773726486216068904449996708360426900307996916465995831406791824576177418105594547962272022179754568552716061372339825286205040265872300459216943234941691986526404196295050150093771355474657647907569586784867907060223260101998150355507732801148952929766546671856765063472344439521492647074607509955538767643156091678752646264392680802987825599298052848514195638848380308544746743934860679193172035916891021995513529792749706560995105989486549577486680354324050680627545234457595927246529764713620675742950285775308526524807533014186317691801056488070533142474092316277637922676025197785257659415201329251776455639378}
15777  8395397787762229750267074233041778852913177924339284356491270999: {63092,331107,394175,473010,504544,567612,614679,866855,1040226,1544578,1746807,1811135,1935159,2029299,2173362,2206540,2217507,2647848,2945063,2978829,3152200,3224855,3415363,3546225,3782640,3869826,4034816,4074847,4189234,4255470,4539168,4733827,4842339,4879090,5020103,5029107,5106564,5309079,5323162,5681779,5821210,5854908,5961507,5984620,6147699,6153167,6340399,6390034,6762610,6829858,6978935,6985452,7181544,7496524,7564687,7755383,7819107,7913855,8079237,8096919,8115132,8148658,8321699,8374722,8929059,9008428,9021399,9027298,9128620,9263203,9411922,9496626,9756940,10167394,10244855,10403619,10709320,10729906,10863159,10954344,11295907,11362114,11640940,11708328,11862682,11949343,12047985,12238179,12293826,12323637,12679186,12778444,12801778,12851184,12878007,12896140,13060599,13171869,13750642,13906627,13969128,14245107,14318579,14457582,14517879,14879855,15245032,15334899,15475368,15715269,15927868,16059507,16137010,16509283,16576258,17070490,17150661,17233719,17331154,17409789,17684259,17807587,17855826,18194284,18254920,18314007,18493719,18821452,19364412,19536034,19756087,19866610,20075308,20332204,20374899,20484588,20536785,20970079,21177879,21281218,21445107,21457084,21497385,21905904,22153138,22334307,22930544,22980643,23043939,23460178,23534179,23552903,23584690,23710223,23722348,23839932,24041855,24606412,24644142,24723159,24912223,24987507,25427607,25439410,25466133,25592125,25610339,25796862,26744307,27312488,27356919,27497788,27666335,27809698,27881079,27908620,28301628,28850226,28863223,29187699,29622039,29915939,29919935,30040927,30057887,30316825,30401740,30414034,30488919,30527292,30710550,30726549,30921459,31013644,31100264,31267059,31647340,31698519,31851688,31853887,32212882,32409079,32565283,32581234,32586344,32757920,32829490,33058519,33199602,33278332,33433378,33490344,33504099,33514540,33738023,33835282,33953735,34079159,34103607,34274679,34643747,34805783,34987797,35387503,35487826,35588890,35772163,35833149,35903922,36380190,36383944,36447292,36475138,36482088,36579225,36659637,36666799,36852660,36914019,37083507,37676637,37813349,37976808,38009685,38368483,38401535,38507267,38805536,38844335,39017840,39194007,39309504,39395388,39446259,39614307,39728140,40145512,40217448,40453107,40543664,40650959,40744482,40820483,40832323,40931937,41042349,41125786,41249779,42113794,42123507,42316567,42373239,42706668,42721567,42723909,42915610,43309750,43370007,43375234,43448620,43455683,43504642,43642425,43656228,43895070,43949859,43978543,44019839,44223192,44776483,45053359,45136627,45163701,45188439,45233503,45244629,45249625,45436904,45443135,45611622,45682359,45777103,45830063,45855623,45976762,46081842,46421619,46537783,46544620,46551920,46613202,46821408,46831479,47056543,47112163,47412983,47673768,47906985,48057459,48494855,48534023,48986287,49115607,49159879,49206568,49341765,49389298,49609987,49751091,49869479,49948099,50552543,50574039,50703848,51100784,51103090,51116517,51204405,51498732,51649978,51702999,51971700,52067560,52107340,52138344,52174785,52370910,52388098,52631216,52650082,52674084,52985794,52987479,53147607,53206797,53341603,53387619,53632989,53707299,53906578,53946807,54019070,54115535,54299550,54514108,54531762,54581839,54618032,55357389,55436480,55653104,55808578,55853544,55862304,55945186,56142727,57032125,57041829,57095903,57259708,57488382,57513507,57919520,57995194,58193826,58305585,58331890,58576005,58655637,58795618,58828579,59083107,59210118,59313106,59317719,59848679,59952844,60750403,60928594,60957625,61030810,61038947,61323708,61364527,61373855,61419507,61445286,61492003,61502447,61651959,61807053,61964620,61996799,62051506,62192624,62193507,62348019,62366040,62425239,62481072,62528808,62609742,62826490,62835237,62845092,62870119,63119139,63341425,63503799,63628834,63957463,63964599,64619290,64808579,64809874,64822884,64938642,65112819,65159460,65418099,65426303,65545283,65594855,65798183,66255639,66451378,66523776,66787107,66868963,67061253,67171042,67250563,67303090,67585687,67922007,68072919,68438550,68454514,68564423,68571538,68804759,68826039,68945735,69069693,69287087,69503424,69597484,69658279,69779855,69966702,69980410,69998268,70161795,70221427,70291206,70344909,70549107,70556140,70562505,70871410,70926946,71464882,71517399,71786194,72523282,72525388,72629619,73001120,73035417,73149150,73236972,73265045,73294359,73324186,73579825,73648626,73815394,74144962,74190863,74272341,74357544,74618007,74630959,74747743,74754335,74839248,74840140,75166535,75266672,75391788,75425554,75458783,75860979,75989855,76009710,76202290,76226385,76244146,77041127,77170100,77222135,77543148,77676279,77696818,77755363,77806828,77850412,77893107,78025760,78037539,78109719,78125242,78191352,78434002,78590963,78713826,78740899,79117719,79130338,79553887,79726540,79834825,80126338,80235943,80263959,80443605,80547203,80591506,80763708,80818679,80899535,81066467,81077024,81308144,81312514,82067879,82126260,82210066,82225825,82314418,82396599,82541347,82734882,83032179,83222327,83243607,83278138,83589429,83652237,83735826,83976492,83993740,84143855,84194154,84450179,84507639,84625468,84667368,84675006,84857379,85045692,85103144,85183365,85229827,85312786,85485399,85555059,85646920,85694307,85806512,85878604,86074498,86109667,86159855,86298199,86786290,86946925,87564759,87601344,87663610,87765249,87778980,87918054,87945634,87965271,88041274,88253079,88295790,88366834,88842863,88936185,88967135,89366735,89705202,89808168,89827107,89834578,90037234,90125683,90199842,90303639,90332648,90487750,90521647,90846807,90862256,90921287,90938887,91187826,91211652,91320819,91442748,91471662,91602767,91774109,91941772,92016547,92369266,92417623,92534307,92604120,92666562,92870007,92946935,93096185,93338979,93451282,93630912,93746746,93992303,94073559,94101058,94182176,94212034,94816684,94865264,94871607,94930540,95250789,95483577,95527090,95534007,95536483,95626066,95671848,95741037,95801790,96062199,96295234,96352785,96532326,96670012,96718687,97020403,97079442,97478179,97506807,97833507,97956466,97959340,98066855,98551512,98632978,98670990,98774949,98777728,98791378,98810007,98852668,98973479,99511225,99883426,...,15159279861135042344450632864863583061468418371034178777400839097735056667352514918339182212860588094803682532254072530917700668663865407512801082545479933043711271465682445316531979689211929540742272194604600813335654054096774122831557301567276808454930980853653923875863881246578534183100452052728045246281070800070743411793248220197991728295428929239076543279501484579209334768149851455062337073438823145198549057286155170687157140089227404954781920681657062514572885436975922122836644861509728864232646799540727197911945905413114372854626595860260000430674937511019681047622361558790384776010744119006298491013372046754240888894990662780372345313216387604804087853212730722923550154039759342573161871125063240104960082151138180871822116405980242728127387998820732207633391755470365849865687252206601737206978267778542222493355251393703884805700181143262647430267598789696579869402705915890829604340432502518908390069854737724052313544543908896606770532330225805748223191634493421126227831136075930376243863091270110686283106444088765958170951951426559468803348390520832845586350073394862937912595965673839269311813684389613002038370419951983083137445612914189299451090930750104716372812257927137275692855698702047795961572790640756711912598020522951573726457439679224219112949248784804022993618932318700203269080362839428795039934511232958713220089706864651133904451315459428915202055853692174383053213596465394709088270582273054533580918058306645948417697305423875165967598104220237822942992847171576094243064315612476971192339804866614977040056254820651942862865067750495577514447133528277155236889210883078208428097564910600860137458693199863093831342518315856402669875857957240207659046280569037548154515644212858375288080349582037483160741433419853112464103316729768086633119022870759453811231225791981279310083141022198751246690310187706667549487581138282938011627950328039414158906972160589729324103356674995062540640350461995374698993747110187736864266127158391821943408033269631852829074092058509737929307560398808450688825414852412537979789606294442575225140657033211986471861354380177301860590334890152997225533261599201723429394649820007785147595208516659282238970611911264933308151464734137518128969396589021204481738398947079272771293458272570462817120115902291018789758053875336532993270294689124559841492658984229824366230020531486076020941317851686393890869794647070431013614425428662962789787211299521279476537701584732105799713711138474416456884014037796677886489122801993877664683459067}
15778  8432399269881360841052027737669768932057308755673820050672404120: {78865,94638,173437,267937,441476,456721,630680,645217,709515,739357,756816,819572,851418,1164686,1353038,1386968,1560339,1676797,2049757,2142817,2316867,2328721,2329076,2580212,2705732,2758175,2897816,2956676,3041726,3069457,3260043,3309810,3415406,3530077,3530464,3897277,3940250,3971772,3974846,4354657,4728300,4810237,4901137,4904366,5043520,5159768,5673960,5804739,6015038,6052224,6166177,6283851,6383205,6435421,6456452,6705476,6808752,6882721,7078772,7318635,7328221,7480775,7505917,7659846,7771921,7806544,7948676,7984743,8196932,8731815,8769038,8782362,8976930,9313936,9354337,9370655,9575392,9585051,9702817,9789757,10143915,10223377,10244787,10405886,10425476,10478178,10568977,10768046,10772316,10795892,10820176,11166296,11244786,11260535,11410775,11427937,11905412,12028532,12109921,12172698,12196175,12222987,12279697,12364477,12533821,12562083,12662168,13124257,13208317,13339403,13386650,13512642,13540947,13543837,13692930,13871492,14001566,14044957,14117883,14179838,14244939,14484212,14551175,14605792,14635410,14891486,15039421,15204157,15246446,15251091,15611104,15614737,15973055,16063980,16094859,16120175,16267921,16317572,16391768,16431516,16835677,17043171,17134912,17170676,17319517,17414132,17461410,17539646,17562492,17720737,17794023,17880721,18279421,18440739,18625504,18676321,18993476,19018779,19056290,19167666,19202667,19276776,19344210,19357172,19699837,19909835,20064226,20245921,20446532,20625963,20633824,20788477,20953692,21412676,21686373,22319197,22697377,22742855,22818650,22867548,22923421,22978292,23213052,23526815,23579012,23807768,23891802,23895457,23898427,24192097,24205515,24418676,24658292,24782126,24864387,25094135,25294237,25415255,25458638,25605735,25730557,25819216,25996731,26019997,26092177,26380177,26783739,26821355,26952721,26972366,27166532,27212731,27291426,27308221,27312784,27382380,27520657,27870227,27873277,28232178,28237172,28363921,28503457,28513051,28573117,28593476,28663180,28712221,29046618,29058721,29207872,29304051,29469326,29652935,29779076,29799806,29799915,30112962,30498306,30623486,30725252,30726882,30758015,31099921,31279838,31633297,31786576,31835951,31898257,31921827,32097038,32185626,32227837,32375123,32555617,32620957,32858856,32910638,32964212,33229707,33316676,33720721,33903476,33954844,34140610,34167517,34372235,34395816,34578583,34862497,34885775,35127323,35190267,35329838,35377035,35475706,35583522,35610721,35659076,35734417,35759898,36103777,36179363,36475892,36531421,36713617,36909618,36955537,36966213,37136221,37174772,37558526,37735504,37911697,38002175,38029921,38159115,38256647,38347646,38466968,38695293,38767055,38875330,38916932,39196321,39483421,39496052,39559175,39654817,39757291,39814610,39939037,40333921,40651892,40703056,40725277,40732930,40947400,40968732,41003726,41168221,41228612,41246682,41597915,41622638,41689412,41714547,41862930,41893175,42264692,42393038,42452442,42522721,43055747,43209277,43275339,43313821,43677457,43784939,43986337,44266136,44343421,44365867,44444797,44495377,44653792,44672132,44713186,44834126,45245437,45471476,45479930,45491857,45559115,45602610,45621051,45699572,45790938,45930877,46040846,46052314,46065825,46172257,46411837,46520466,46650396,46696957,47026321,47089166,47119777,47471010,47685038,47720221,47777532,47790778,47871896,48308497,48319323,48506920,48642784,48696466,48772300,48840721,48871851,48879516,49017326,49059421,49136880,49218692,49244235,49276321,49444676,49660175,49752446,49799403,49917498,50015207,50125921,50150067,50181890,50235516,50271810,50457697,50518663,50635744,50679580,50752923,50865937,51739259,52009117,52080638,52200097,52258676,52389277,52412672,52527184,52595012,52688221,52819076,53231739,53236321,53383335,53415421,53486557,53623264,53855883,53937476,54113821,54310775,54325976,54385117,54418546,54570285,54575916,54670938,54712707,54717757,54723132,54797486,54848797,54946321,55186043,55278990,55424221,55503806,55794877,55892243,55976317,56164676,56243617,56346638,56418577,56497652,56562397,56619421,56676157,56796130,56942224,56965212,57045038,57173821,57184286,57492637,57518737,57622417,57826676,58074721,58180775,58189900,58208304,58386877,58431038,58433821,58517602,58526760,58599812,58618717,58709437,58776721,58964256,58996321,59039377,59093082,59101367,59255726,59572897,59592210,59669917,59708221,59746237,59765137,59895421,60218268,60251252,60326172,60364897,60446077,60493921,60618686,60815496,60867421,60909217,60909812,61004221,61108477,61116723,61279837,61291537,61348957,61371421,61393597,61442456,61508210,61580221,61627921,61688679,61691677,61895492,61924957,61944721,62069857,62074717,62115217,62119357,62127421,62150936,62156797,62197117,62232721,62234017,62236177,62428544,62441972,63170691,63379810,63565024,63698846,63875980,64060002,64076612,64373415,64742018,64964625,65014286,65062851,65084450,65134175,65172930,65256963,65484342,65487476,65666606,65789020,65842605,65858338,66334788,67432052,67601966,67641827,68142635,68155356,68272540,68367038,68417433,68664976,68874206,68937332,68965143,69122763,69148378,69295600,69517792,69566380,69816930,69827880,69919803,70132046,70232112,70257038,70649972,70863476,70879838,70942396,71144626,71183492,71510652,71574635,71609732,71929076,71991806,72399400,72604526,72709016,72726638,73806811,73809852,73819166,74083947,74421086,74465251,74471392,74483072,74941055,75080698,75732638,76055772,76651176,76654635,76684676,77026766,77248098,77266751,77376686,77455775,77474967,77591768,77740780,77957550,78101340,78161010,78188126,78207516,78556365,78582147,78777476,78946824,78975123,79011126,79041067,79090292,79478691,79504474,79789838,80242286,80859867,81028526,81028605,81449325,81585806,81764944,81771162,81797643,81892676,81927048,82202612,82409404,82689566,82924676,83007106,83127038,83130692,83154720,83233652,83308096,83371744,83479656,83712867,83780316,83793456,83917779,84158852,84671732,84747038,85286132,85493122,85889562,85914446,86232573,86430512,86584856,86817092,86879280,86992791,86996855,87224132,87290739,87497835,87558746,87889838,88193427,88195175,88340852,88698368,88815177,88969659,89049476,89415004,89813246,89913038,89929266,90012686,90401818,90508766,90562676,90656735,90763892,91251400,91392638,91392891,91546215,91768052,91878638,91985562,92092924,92167929,92457086,92671232,92946930,93077259,93288936,93315038,93331024,93549060,93550175,93721608,93793212,93914613,94065476,94083340,94239735,94267638,95087966,95356532,95443251,95728046,96217786,96462625,96630206,96839492,96928935,97214811,97234326,97258535,97313015,97380556,97407963,97532200,97649296,97725812,97739190,98198168,98304638,99029788,99143392,99250286,99490676,99658175,99677067,99785664,...,20212373148180056459267510486484777415291224494712238369867785463646742223136686557785576283814117459738243376338763374556934224885153876683734776727306577391615028620909927088709306252282572720989696259472801084447538738795698830442076402089702411273241307804871898501151841662104712244133936070304060328374761066760991215724330960263988971060571905652102057706001979438945779690866468606749782764585097526931398743048206894249542853452303206606375894242209416686097180582634562830448859815346305152310195732720969597215927873884152497139502127813680000574233250014692908063496482078387179701347658825341731321351162729005654518526654217040496460417621850139738783804283640963898066872053012456764215828166750986806613442868184241162429488541306990304169850665094309610177855673960487799820916336275468982942637690371389629991140335191605179740933574857683529907023465052928773159203607887854439472453910003358544520093139650298736418059391878528809027376440301074330964255512657894834970441514767907168325150788360147581710808592118354610894602601902079291737797854027777127448466764526483917216794620898452359082418245852817336051160559935977444183260817218919065934787907666806288497083010569516367590474264936063727948763720854342282550130694030602098301943252905632292150598998379738697324825243091600271025440483785905060053246014977278284293452942486201511872601753945905220269407804922899177404284795287192945451027443030739378107890744408861264556929740565166887956797472293650430590657129562101458990752420816635961589786406488819969386741673094202590483820090333994103352596178037702873649185614510770944570796753214134480183278257599817458441790024421141870226501143942986943545395040758716730872687525617144500384107132776049977547655244559804149952137755639690782177492030494345938414974967722641705746777521362931668328920413583608890065983441517710584015503933770719218878542629547452972432137808899993416720853800615993832931991662813583649152354836211189095924544044359509137105432122744679650572410080531744600918433886469883383973052808392590100300187542710949315295815139173569735814120446520203996300711015465602297905859533093343713530126944688879042985294149215019911077535286312183357505292528785361605975651198596105697028391277696760617089493487869721358386344071833782043991027059585499413121990211978973099154973360708648101361255090468915191854493059529427241351485900571550617053049615066028372635383602112976141066284948184632555275845352050395570515318830402658503552911278756}
15779  8469562550823995769206739195486185041009677215128710573888762460: {126184,141957,551845,662214,788350,946020,1009088,1024465,1135224,1213597,1229358,1277127,1733710,1747029,2029557,2080452,2535589,2911345,3089156,3225265,3291541,3382165,3480529,3493614,3622270,3695845,3870318,4058598,4346724,4413080,4435014,4514797,4562589,4964715,5020741,5123109,5295696,5366317,5890126,5910375,5932849,5957658,5962269,6153949,6304400,6402517,6449710,6830726,6877069,7092450,7092877,7356549,7565280,7739652,7756369,8069632,8070565,8149694,8290237,8322757,8378468,8381845,8510940,8667781,8848465,9022557,9078336,9467654,9684678,9758180,9770509,9935845,10040206,10058214,10213128,10246165,10489909,10618158,10646324,11079397,11363558,11489769,11642420,11709816,11923014,11969240,12295398,12306334,12680798,12780068,13031845,13153557,13173543,13465395,13494865,13525220,13659716,13957870,13970904,14342797,14363088,14881765,14993048,15035665,15129374,15349741,15510766,15608829,15638214,15717267,15827710,16152069,16158474,16193838,16230264,16297316,16643398,16720957,16749444,16867179,16921957,17339365,17406037,17858118,18016856,18042798,18054596,18105265,18257240,18259047,18432997,18526406,18823844,18993252,19513880,20079975,20268963,20334788,20396965,20489710,20539395,20807238,20831797,21002349,21062269,21269757,21418640,21459812,21463345,21726318,21767665,21850477,21908688,21953115,22123069,22337229,22591814,22724228,22869669,23281880,23416656,23725364,23741845,23896741,23898686,24095970,24196465,24476358,24587652,24647274,25358372,25556888,25558165,25599541,25603556,25702368,25756014,25792280,26121198,26192115,26309469,26331757,26343738,26499661,26765845,26889937,27501284,27813254,27835249,27938256,28490214,28584435,28637158,28659037,28722865,28751499,28915164,29016315,29035758,29473765,29759710,30061729,30096339,30472069,30490064,30523345,30669798,30822865,30950736,31430538,31855736,32070349,32119014,32274020,32283061,33018566,33152516,33594109,33658597,33958165,34080541,34140980,34227975,34235989,34301322,34467438,34662308,34819578,35296465,35368518,35615174,35711652,35741557,35741845,35828975,35837703,35902261,36388568,36509840,36628014,36987438,37173189,37223845,37642904,37710469,37927501,38187957,38406565,38512189,38728824,38732869,38805877,38900581,39056389,39072068,39227029,39512174,39733220,39872209,40150616,40421041,40458549,40656157,40664408,40749798,40937139,40969176,41073570,41162077,41167717,41205265,41645845,41887909,41940158,42348267,42355758,42379345,42443555,42562436,42890214,42914168,42994770,43048237,43569927,43811808,43849597,44203989,44306276,44573845,44668614,44699709,44928757,45169443,45594865,45606637,45652309,45747459,45835921,45861088,45935229,45961286,46087878,46090323,46196557,46468465,46737589,46919757,46920356,47068358,47105806,47169380,47419069,47420446,47444696,47535229,47679864,47942737,48083710,48145557,48242389,48278439,48540229,48646165,48990709,48990757,49212824,49215469,49288284,49365957,49370065,49441201,49446318,49824446,49975014,50814865,50855214,50878820,50932266,51081889,51184250,51210915,51220678,51535765,51593724,51881197,52111765,52211797,52260757,52830865,52990981,52994757,53213559,53375283,53485189,53488614,53639847,53762149,53877637,54193009,54382069,54515941,54624976,54713838,54995576,55332670,55364427,55619396,55762158,55781437,55817240,55840165,56337789,56499901,56603256,56839345,57103201,57124465,57521469,57700452,57726446,58312995,58375398,58450417,58936657,59244078,59336581,59721915,59831878,59839870,59881069,60081854,60115774,60633650,60803480,60828068,60965375,60977838,61046749,61054584,61099395,61421100,61453098,61505589,61523365,61805845,61842918,61870023,62004757,62027288,62173837,62200528,62204257,62433957,62534118,62794395,63294680,63349475,63397038,63589557,63620389,63678663,63703376,63707774,64425764,64818158,65130566,65162468,65172688,65323345,65344849,65434669,65513989,65515840,65553661,65658980,65743765,66023845,66117038,66185437,66399204,66556664,66866756,66980688,67008198,67029080,67069779,67251189,67391629,67411921,67421845,67476046,67670564,67767157,67892797,67907470,68158318,68207214,68219895,68403915,68549358,68686407,68738029,68813557,69061269,69078471,69100141,69287494,69611566,69780699,69846001,69975594,70205845,70497829,70622065,70633749,70730257,70743541,70775006,70849489,70975652,71177780,71206515,71527557,71544326,71666298,71686167,71807844,71909029,72283345,72737375,72760380,72767888,72894584,72902701,72950276,72964176,73044699,73158450,73249765,73319274,73333598,73525989,73705320,73828038,74023741,74167014,74404237,74628669,74876247,75272835,75314065,75353274,75407715,75468469,75626698,75659989,75660541,75761749,75953616,76019370,76137265,76591957,76736966,76803070,77014534,77369365,77438509,77611072,77621797,77688670,77761489,78035680,78052465,78120957,78388014,78619008,78790776,78892518,79228614,79456280,79844975,80095765,80291024,80348689,80434896,80557741,80662837,80906214,81087328,81301918,81488964,81627819,81640966,81664646,81689437,81721681,81780709,81859345,81863874,82006407,82084698,82196229,82236275,82251572,82499558,82511077,82918485,82952509,83255709,83811541,83825197,84227588,84247014,84290065,84519957,84633134,84746478,84849841,85194195,85340675,85413336,85435141,85443134,85447818,85567557,85776429,85831220,85923397,86104789,86171665,86181301,86392381,86619500,86740014,86750468,86897240,86911366,86912869,86957975,87009284,87284850,87312456,87630817,87646557,87663061,87776403,87790140,87899718,87957086,88039678,88312465,88446384,88575349,88579345,88639623,88677995,88883589,88979365,89388315,89512165,89552966,89744821,89911345,90106718,90273254,90327402,90376878,90467006,90489258,90499250,90615877,90873808,90886270,90928029,91223244,91364718,91445329,91554206,91660126,91711246,91832797,91953524,92163684,92262315,92843238,92880229,93013189,93073621,93075566,93089240,93103840,93226404,93642816,93662958,93717157,94113086,94224326,94825966,94969957,95069715,95130541,95192149,95347536,95548269,95813970,95855845,96055357,96090003,96114918,96524029,96989710,97068046,97113027,97175975,97521429,97626675,97691797,97759395,97972574,98226513,98231214,98319758,98413136,98471845,98499909,98683530,98696461,98778596,98787507,98862865,99112669,99219974,99502182,99657169,99738958,99804757,99896198,...,30318559722270084688901265729727166122936836742068357554801678195470113334705029836678364425721176189607365064508145061835401337327730815025602165090959866087422542931364890633063959378423859081484544389209201626671308108193548245663114603134553616909861961707307847751727762493157068366200904105456090492562141600141486823586496440395983456590857858478153086559002969158418669536299702910124674146877646290397098114572310341374314280178454809909563841363314125029145770873951844245673289723019457728465293599081454395823891810826228745709253191720520000861349875022039362095244723117580769552021488238012596982026744093508481777789981325560744690626432775209608175706425461445847100308079518685146323742250126480209920164302276361743644232811960485456254775997641464415266783510940731699731374504413203474413956535557084444986710502787407769611400362286525294860535197579393159738805411831781659208680865005037816780139709475448104627089087817793213541064660451611496446383268986842252455662272151860752487726182540221372566212888177531916341903902853118937606696781041665691172700146789725875825191931347678538623627368779226004076740839903966166274891225828378598902181861500209432745624515854274551385711397404095591923145581281513423825196041045903147452914879358448438225898497569608045987237864637400406538160725678857590079869022465917426440179413729302267808902630918857830404111707384348766106427192930789418176541164546109067161836116613291896835394610847750331935196208440475645885985694343152188486128631224953942384679609733229954080112509641303885725730135500991155028894267056554310473778421766156416856195129821201720274917386399726187662685036631712805339751715914480415318092561138075096309031288425716750576160699164074966321482866839706224928206633459536173266238045741518907622462451583962558620166282044397502493380620375413335098975162276565876023255900656078828317813944321179458648206713349990125081280700923990749397987494220375473728532254316783643886816066539263705658148184117019475858615120797616901377650829704825075959579212588885150450281314066423972943722708760354603721180669780305994451066523198403446858789299640015570295190417033318564477941223822529866616302929468275036257938793178042408963476797894158545542586916545140925634240231804582037579516107750673065986540589378249119682985317968459648732460041062972152041882635703372787781739589294140862027228850857325925579574422599042558953075403169464211599427422276948832913768028075593355772978245603987755329366918134}
15780  8506888332540282640074808083029004818009697100994208086208436542: {110411,157730,189276,204971,299459,346874,488219,535874,645299,676691,739451,833531,882952,913442,993321,1182525,1261360,1290434,1419030,1478714,1513632,1521251,1583579,1639144,1702836,1708139,1770371,1844037,2050019,2143091,2174099,2329372,2359979,2600565,2700011,2706076,2773936,2792579,3069851,3100619,3120678,3285059,3353594,3561179,3714299,3861445,4099514,4172459,4285634,4385651,4633734,4657442,4658152,4750211,4841171,5160424,5204291,5240421,5411464,5433405,5445731,5516350,5656571,5795632,5805477,5836979,5913352,5987099,6083452,6087897,6107051,6138914,6436259,6466139,6520086,6615419,6619620,6652521,6830812,6883619,7060154,7060928,7062059,7151171,7506899,7684331,7772939,7794554,7880500,7943544,7949692,7949939,8332451,8567171,8709314,8835189,8918291,8936487,9005891,9210011,9384659,9456600,9559019,9620474,9674565,9704099,9733091,9802274,9808732,9964739,10087040,10167011,10246089,10319536,10473085,10638675,10828859,10943531,11347920,11609478,11941451,12030076,12104448,12139859,12197725,12224541,12309611,12332354,12394379,12567702,12766410,12789011,12870842,12912904,13118917,13154051,13307905,13410952,13545659,13617504,13765442,13796579,13907891,14130131,14157544,14201481,14324171,14527017,14545451,14553025,14637270,14656442,14738651,14903939,14958971,14961550,15011834,15060309,15068939,15087321,15233651,15315899,15319692,15452819,15543842,15613088,15644171,15764749,15897352,15927237,15969486,15975085,16107251,16393864,16459811,16837979,16864931,16906525,17045337,17074645,17321891,17463630,17538076,17564724,17723171,17803211,17883179,17884521,17909819,17953860,17989691,18443097,18459501,18520331,18627872,18705299,18708674,18741310,18837179,19021197,19074059,19150784,19170102,19405634,19579514,19624259,19780811,20287830,20371645,20446754,20489574,20559251,20636699,20811772,20817131,20850952,20894339,20936805,20956356,21137954,21253691,21407219,21536092,21544632,21591784,21640352,21815219,22170539,22332592,22362277,22473851,22489572,22521070,22568245,22694061,22776011,22821550,22855874,22951739,23026931,23152091,23266149,23457321,23529805,23741565,23810824,23849291,23898851,23923619,24047339,24057064,24219842,24220211,24237711,24290757,24345396,24392350,24445974,24515651,24559394,24728954,24956651,24965097,25067642,25124166,25324336,25418485,25734251,25975571,26047811,26095931,26119979,26248514,26383979,26416634,26455811,26678806,26773300,26787177,26824765,26956619,26980379,27025284,27064197,27081894,27087674,27241211,27385860,27548219,27742984,27759971,27789609,27873769,27900779,28003132,28089914,28235766,28359676,28368059,28405285,28489878,28530851,28577291,28600499,28716419,28855259,28968424,29086019,29102350,29211584,29270820,29338931,29430659,29656705,29782972,29910131,30023771,30078842,30363491,30408314,30492892,30502182,30633971,30734565,30791219,30925691,31126859,31210857,31222208,31229474,31438499,31697965,31839997,31903019,31925051,31946110,32004445,32101019,32127960,32189718,32240350,32535842,32560499,32589477,32635144,32783536,32843171,32863032,32937541,33425939,33533219,33618899,33671354,33747179,33887721,34086342,34193891,34269824,34341352,34363139,34376605,34447571,34489739,34616051,34639034,34828264,34888739,34922820,35014139,35076731,35079292,35124984,35131789,35180891,35441474,35581357,35588046,35636819,35761442,35848029,36109331,36143955,36183961,36313451,36354179,36558842,36714537,36881478,36921011,36961259,36970911,37222091,37251008,37352642,37549897,37620731,37739699,37917611,37986952,38037558,38055539,38112580,38261509,38330219,38335332,38405334,38553552,38564411,38634021,38688420,38700491,38714344,38739299,38990771,39144851,39181797,39394139,39399674,39508739,39515607,39819670,39945371,39964259,40128452,40171499,40284131,40342525,40491842,40750331,40893064,41193179,41248211,41251926,41267648,41394611,41440645,41449379,41514109,41576891,41576954,41613251,41719881,41722139,41830739,41907384,41993099,42154811,42387251,42600611,42676225,42735321,42757429,42825352,42900899,42955737,42971219,43061221,43076459,43128971,43216331,43233779,43320899,43327885,43338299,43372746,43553637,43701851,43993571,44044811,44113019,44164091,44452139,44469011,44638394,44639565,44771339,45021299,45212401,45269459,45394754,45466691,45485710,45637300,45695339,45735096,45846842,45906251,45954731,45956584,46004697,46147931,46426104,46467371,46704851,46862171,47053630,47127779,47143331,47145807,47158024,47498819,47615536,47728379,47783604,47790914,47796854,47819699,47880419,48121129,48178521,48331739,48384194,48411030,48643379,48837352,48840085,48849179,48863819,49024331,49082459,49241651,49284899,49316584,49342451,49527849,49564252,49628291,49666525,49728774,49770011,50051051,50188270,50425379,50507771,50588474,50630819,50712491,50807411,50830510,50888459,50915411,50917276,51209771,51211470,51315851,51447731,51451983,51461114,51565739,51638432,51701157,51745837,51748019,51838571,51993462,52039994,52184354,52209539,52222211,52229367,52285451,52623491,52660691,52710179,52760354,52894619,53052777,53137739,53173931,53203045,53246099,53422761,53425259,53508251,53567291,53567478,53642710,53894219,53905442,53944732,53951939,54192179,54273877,54333064,54425462,54540371,54582852,54616442,54625568,54760931,54764760,54837371,54902579,54942021,55041314,55382845,55434779,55445219,55481157,55559531,55662611,55740454,55746554,55785251,55805579,55899349,55957019,56234891,56264291,56293619,56429531,56439179,56464356,56474344,56573411,56639939,56668331,56727842,56809211,56865059,57006914,57026102,57146234,57185099,57186952,57194099,57221051,57319259,57326360,57407699,57424442,57460379,57504059,57633899,57642491,57913211,57938171,58045499,58086419,58093236,58094579,58117442,58119011,58207979,58237081,58280051,58383011,58415744,58608102,58650445,58721459,58818491,58855451,58938652,58961725,58991977,59015699,59051579,59108881,59158019,59227979,59268261,59305870,59493179,59552651,59558152,59599612,59599830,59624459,59727179,59777771,59858891,59908139,59914259,59932571,59999099,60225924,60232859,60464531,60512339,60528131,60538619,60585419,60606011,60636659,60721931,60809699,60922691,60996612,61017779,61022219,61124697,61126379,61146397,61185011,61246972,61305371,61366619,61385339,61389059,61418531,61450504,61453764,61454651,61461779,61493459,61507331,61516030,61527899,61534691,61610355,61632731,61705979,61785611,61825691,61833491,61846331,61941851,61959419,61961579,62005091,62022659,62028371,62059379,62089691,62091299,62105411,62112971,62127491,62134451,62135819,62142539,62143859,62161499,62199842,62203259,62210891,62212499,62215619,62225531,62229899,62246771,62248379,62250731,62251811,62251979,62467801,62559676,62910237,63266594,63533637,63573152,63598525,63671902,63782761,63796514,63843654,64194076,64335321,64371252,64455674,64492155,64750246,65111234,65219869,65241914,65717712,65821276,65928424,66054469,66459414,66633352,67002921,67441442,67806952,67909688,68281220,68335034,68744470,68791632,68941929,69131817,69157166,69524245,69724994,69771550,70254646,70380534,70602537,70658709,70659676,70754070,70951412,71130669,71167044,71221442,71318152,71468834,71519796,72125565,72207554,72358726,72951784,73062842,73427234,73819236,73911074,73932426,74169477,74272442,74349544,74736669,74962521,75117052,75471008,75599689,75823394,76004350,76035085,76059842,76282821,76318230,76398399,76513294,76695292,76776375,76831017,76933936,77390586,77534110,77750660,77833864,78392642,78966842,78992104,79118350,79309634,79514582,79629220,79878074,79940341,80232921,80532205,80667842,81303784,81406112,81450554,81453085,81465860,81894800,81937464,82007452,82070757,82073725,82336442,82457224,82493364,82999005,83195830,83245276,83378824,83429094,83583445,83643237,83725860,83786350,84529384,84588205,84786076,84904884,85045442,86111494,86356957,86418554,86550678,86589669,86627642,87354914,87563097,87569878,87972674,88532272,88686842,88719565,88731734,88866117,88889594,88972225,88990754,89307584,89344264,89426372,89668252,89747817,89759805,90122781,90173661,90490874,90942952,90950475,90959860,90983714,91118230,91187845,91205220,91242102,91399144,91466757,91581876,91861754,92081692,92104628,92131650,92179647,92344514,92764377,92823674,93040932,93300792,93393914,93801177,94052642,94178332,94239554,94942020,95095557,95370076,95399689,95440442,95555064,95561661,95581556,95743792,96616994,96638646,97013840,97227237,97285568,97392932,97544600,97681442,97695849,97743702,97759032,98034652,98118842,98273760,98437384,98488470,98552642,98889352,99175557,99320350,99504892,99598806,99834996,...,45477839583405127033351898594590749184405255113102536332202517293205170002057544755017546638581764284411047596762217592753102005991596222538403247636439799131133814397047335949595939067635788622226816583813802440006962162290322368494671904701830425364792942560961771627591643739735602549301356158184135738843212400212230235379744660593975184886286787717229629838504453737628004304449554365187011220316469435595647171858465512061471420267682214864345762044971187543718656310927766368509934584529186592697940398622181593735837716239343118563879787580780001292024812533059043142867084676371154328032232357018895473040116140262722666684971988341117035939649162814412263559638192168770650462119278027719485613375189720314880246453414542615466349217940728184382163996462196622900175266411097549597061756619805211620934803335626667480065754181111654417100543429787942290802796369089739608208117747672488813021297507556725170209564213172156940633631726689820311596990677417244669574903480263378683493408227791128731589273810332058849319332266297874512855854279678406410045171562498536759050220184588813737787897021517807935441053168839006115111259855949249412336838742567898353272792250314149118436773781411827078567096106143387884718371922270135737794061568854721179372319037672657338847746354412068980856796956100609807241088518286385119803533698876139660269120593953401713353946378286745606167561076523149159640789396184127264811746819163600742754174919937845253091916271625497902794312660713468828978541514728282729192946837430913577019414599844931120168764461955828588595203251486732543341400584831465710667632649234625284292694731802580412376079599589281494027554947569208009627573871720622977138841707112644463546932638575125864241048746112449482224300259559337392309950189304259899357068612278361433693677375943837930249423066596253740070930563120002648462743414848814034883850984118242476720916481769187972310070024985187621921051385986124096981241330563210592798381475175465830224099808895558487222276175529213787922681196425352066476244557237613939368818883327725675421971099635959415584063140531905581771004670458991676599784797605170288183949460023355442785625549977846716911835733794799924454394202412554386908189767063613445215196841237818313880374817711388451360347706873056369274161626009598979810884067373679524477976952689473098690061594458228062823953555059181672609383941211293040843276285988888369361633898563838429613104754196317399141133415423249370652042113390033659467368405981632994050377201}
15781  8544377320001770092708410901732102836277386392984879562873227309: {236595,252368,283914,520311,772583,803811,1103690,1324428,1370163,1434251,1576700,1892040,1935651,2018176,2048930,2128545,2218071,2270448,2427194,2458716,2554254,2911715,3382595,3467420,3494058,3890003,4059114,4075883,4160904,4515371,4681017,4735031,5030391,5071178,5174183,5366999,5822690,5933603,6149271,6178312,6342011,6403331,6428451,6450530,6583082,6764330,6877943,6950601,6961058,6986163,6987228,7244540,7391690,7438871,7566611,7604315,7740636,8117196,8274525,8291291,8382491,8538515,8668883,8693448,8826160,8870028,9029594,9125178,9208371,9265559,9780129,9850625,9892283,9929430,9937115,10041482,10246218,10590231,10591392,10732634,11213351,11298791,11691831,11734583,11780252,11820750,11865698,11915316,11924538,12260915,12307898,12387851,12608800,12805034,12899420,13063971,13661452,13754138,13910183,14184900,14185754,14344631,14430711,14703411,14713098,15037595,15130560,15479304,15512738,16139264,16141130,16299388,16580474,16645514,16756936,16763690,17021880,17335562,17414217,17696930,17750711,18045114,18140603,18156672,18244583,18498531,18777539,18851553,18892811,18935308,19149615,19306263,19369356,19516360,19541018,19761131,19871690,20080412,20116428,20426256,20492330,20570771,20648163,20834471,20979818,21049931,21236316,21292648,21784451,21853271,21922595,21955905,21984663,22158794,22442325,22517751,22727116,22979538,23284840,23315763,23419632,23540183,23846028,23938480,23954229,24275111,24590796,24612668,24725783,25347371,25361596,25560136,25823291,25834883,25943159,26014715,26063690,26195445,26307114,26347086,26920115,26930790,26989730,27050440,27319432,27422411,27915740,27941808,27983351,28063011,28111965,28241603,28488743,28555751,28685594,28726176,28755153,29108451,29369271,29763530,29986096,30048683,30053459,30071330,30254003,30258748,30431745,30474731,30670131,30699482,30734361,31021532,31217658,31276428,31434534,31655420,31706931,32304138,32316948,32387676,32460528,32573591,32594632,33192443,33238583,33286796,33441914,33466625,33498888,33598403,33734358,33781605,33843914,33869771,33875051,34232325,34283811,34509479,34678730,34812074,34939691,35003915,35396531,35449595,35716236,35781431,36033712,36085596,36109192,36112439,36210530,36329763,36514480,36518094,36588525,36668961,36839091,36865994,37052812,37093431,37228715,37472183,37601463,37647688,37686249,37986504,38116115,38378279,39027760,39147779,39213179,39232043,39372771,39624951,39777623,40018209,40159950,40212011,40277003,40311191,40537926,40622841,40631511,40669576,40793930,40979420,41078790,41263271,41614476,41655083,41663594,42004698,42124538,42134871,42327371,42353649,42539514,42732683,42734817,42837280,42919624,42926690,43152011,43208699,43230371,43452636,43535330,43653525,43700954,43817376,43849115,43906230,44246138,44674458,45118263,45148151,45183628,45448456,45612471,45739338,45753273,45861491,46563760,46743563,46833312,46844211,46891331,47207171,47450728,47483690,47541431,47640725,47793482,47797372,47831351,47919165,47948891,48094931,48191940,48284577,48360525,48392930,48646091,48803763,48952716,48997019,49175304,49294548,49335383,49415051,49447523,49933943,49960871,50038583,50160565,50507031,50651411,50716744,50725979,51113776,51116330,51129513,51199082,51207112,51404736,51512028,51584560,51822251,51887831,51958551,52113383,52242396,52384230,52618938,52663514,52687476,52850939,52997783,52999322,53162211,53382069,53531690,53583059,53642163,53732891,53769191,53779874,54203111,54595931,54838263,55002568,55322217,55612211,55626508,55670498,55876512,56028963,56157083,56213399,56335211,56363939,56980428,57046625,57056337,57091523,57168870,57274316,57318074,57445730,57502998,57608001,57687371,57830328,58032630,58071516,58304183,58457891,58915931,58947530,59099511,59331083,59420977,59519420,59607851,59729505,59888723,60123458,60192678,60737763,60944138,60980128,61046690,61339596,61645730,61704851,61877889,61901472,61955315,62212211,62343959,62365431,62403383,62861076,63428759,63646595,63673571,63711472,63832811,64140698,64165079,64238028,64548040,64566122,65055851,65059119,65238611,65522363,66037132,66305032,66957591,67133891,67188218,67317194,67400243,67430915,67775819,67916330,68092131,68104631,68161082,68228565,68281960,68316779,68455950,68471978,68602644,68770263,68934876,69109139,69118091,69324616,69639156,69676091,70239383,70580445,70592930,70737036,71081219,71140811,71213543,71230348,71376251,71423304,71483114,71483690,71657950,71675406,71686371,71695281,71804522,72061019,72150071,72576291,72616545,72777136,72912023,72956471,73019680,73253123,73256028,73478171,73673315,73963211,73971959,73974876,74033399,74346378,74413751,74447690,74499515,74593161,75282405,75285808,75373979,75420938,75855002,75882711,76245765,76375914,76500131,76558715,76813130,76817205,76978451,77024378,77191671,77457648,77465738,77611754,77801162,77958551,77990193,78059991,78112778,78144136,78176231,78199595,78276531,78454058,79024348,79111883,79140531,79184723,79466440,79575083,79744418,79974251,80242595,80301232,80351217,80464065,80673191,80842082,80858163,80917098,81312314,81328816,81499596,81638193,81663803,81874278,81924663,81938352,82147140,82214771,82276595,82324154,82335434,82410530,82561971,83291690,83606003,83610681,83619831,83775818,83822519,83880316,84696534,84711516,84758690,84887110,85091763,85124872,85351525,85510371,85539153,85719351,85780428,85828336,85989540,86096474,86132711,86136663,86528183,87083723,87139854,87176163,87357659,87482603,87623616,87699194,87912153,87914231,88324595,88381283,88407978,88612552,88689265,88910099,88958805,89147690,89337228,89399418,89399745,89417003,89857514,90132443,90230963,90338886,91189730,91213274,91299959,91304618,91452683,91494918,91671842,91722176,91734851,91870458,91905491,91922572,92041271,92124839,92175756,92180646,92274045,92393114,92433383,92936930,93158183,93299763,93475178,93839514,93840712,93896315,93969011,94136716,94211612,94338760,94390583,94838138,94840892,94889392,94899891,94916663,95070458,95095379,95204603,95359728,95464919,95507853,95694771,95765481,95869115,95885474,95934119,96167420,96228659,96291114,96429971,96484778,96556878,96683511,97080458,97125369,97188325,97292330,97513091,97594331,97666851,97862871,97981418,97981514,98288183,98425648,98430938,98576568,98731914,98740130,98870891,98882402,98892636,99050003,99536525,99648892,99689121,99950028,...,60637119444540169377802531459454332245873673484136715109603356390940226669410059673356728851442352379214730129016290123670802674655461630051204330181919732174845085862729781266127918756847718162969088778418403253342616216387096491326229206269107233819723923414615695503455524986314136732401808210912180985124283200282973647172992880791966913181715716956306173118005938316837339072599405820249348293755292580794196229144620682748628560356909619819127682726628250058291541747903688491346579446038915456930587198162908791647783621652457491418506383441040001722699750044078724190489446235161539104042976476025193964053488187016963555579962651121489381252865550419216351412850922891694200616159037370292647484500252960419840328604552723487288465623920970912509551995282928830533567021881463399462749008826406948827913071114168889973421005574815539222800724573050589721070395158786319477610823663563318417361730010075633560279418950896209254178175635586427082129320903222992892766537973684504911324544303721504975452365080442745132425776355063832683807805706237875213393562083331382345400293579451751650383862695357077247254737558452008153481679807932332549782451656757197804363723000418865491249031708549102771422794808191183846291162563026847650392082091806294905829758716896876451796995139216091974475729274800813076321451357715180159738044931834852880358827458604535617805261837715660808223414768697532212854385861578836353082329092218134323672233226583793670789221695500663870392416880951291771971388686304376972257262449907884769359219466459908160225019282607771451460271001982310057788534113108620947556843532312833712390259642403440549834772799452375325370073263425610679503431828960830636185122276150192618062576851433501152321398328149932642965733679412449856413266919072346532476091483037815244924903167925117240332564088795004986761240750826670197950324553131752046511801312157656635627888642358917296413426699980250162561401847981498795974988440750947457064508633567287773632133078527411316296368234038951717230241595233802755301659409650151919158425177770300900562628132847945887445417520709207442361339560611988902133046396806893717578599280031140590380834066637128955882447645059733232605858936550072515877586356084817926953595788317091085173833090281851268480463609164075159032215501346131973081178756498239365970635936919297464920082125944304083765271406745575563479178588281724054457701714651851159148845198085117906150806338928423198854844553897665827536056151186711545956491207975510658733836268}
15782  8582030221214309925009064573255442882169645308386022104240853421: {220822,315460,378552,409942,425871,598918,676777,693748,976438,1071748,1290598,1353382,1478902,1614937,1655535,1667062,1765904,1826884,1970875,1986642,2174377,2365050,2522720,2545897,2580868,2823781,2838060,2957428,3027264,3042502,3073395,3101017,3167158,3278288,3405672,3416278,3469657,3540742,3640791,3688074,3745381,3831381,4100038,4203481,4286182,4334275,4348198,4658744,4719958,5114281,5201130,5241087,5400022,5406023,5412152,5547872,5585158,6088671,6139702,6201238,6241356,6287557,6466981,6570118,6646117,6707188,7092697,7122358,7428598,7606767,7722890,7980457,8199028,8245381,8344918,8571268,8734035,8771302,9055675,9267468,9314884,9316304,9500422,9675795,9682342,9734377,9874623,9994981,10146495,10320848,10408582,10427881,10441587,10480842,10686757,10822928,10866810,10891462,11032700,11087535,11288281,11313142,11544997,11591264,11610954,11673958,11826704,11974198,12166904,12175794,12214102,12277828,12734437,12818857,12872518,12932278,13040172,13230838,13239240,13305042,13544391,13661624,13687767,13767238,14120308,14121856,14124118,14302342,14662319,14725315,14894145,15013798,15062223,15368662,15369327,15482281,15545878,15589108,15728197,15761000,15887088,15899384,15899878,16098951,16124275,16543237,16664902,16867237,17076815,17134342,17418628,17670378,17731125,17798547,17836582,17872974,17886807,17912281,18011782,18151717,18420022,18461847,18549337,18631067,18769318,18866137,18913200,19102981,19118038,19207551,19240948,19349130,19408198,19466182,19604548,19617464,19887781,19929478,20174080,20334022,20374235,20492178,20631207,20639072,20897257,20946170,20961919,21277350,21278631,21282277,21657718,21818281,21887062,22069647,22365119,22695840,22804357,23218956,23269107,23669135,23882902,23904503,23927017,24060152,24208896,24211695,24279718,24395450,24449082,24592837,24619222,24664708,24788758,24870711,24960217,24968271,25100515,25135404,25145535,25532820,25578022,25741684,25825808,25906981,26003343,26123737,26237834,26308102,26545395,26615810,26821904,26984281,27067671,27091318,27235008,27481477,27530884,27593158,27815782,28185637,28260262,28315088,28402962,28408895,28520303,28604677,28648342,28882597,29054034,29090902,29106050,29274540,29311527,29312884,29477302,29807535,29807878,29917942,29923100,30023668,30120618,30137878,30174642,30467302,30631798,30639384,30660997,30738495,30765835,30905638,31087684,31226176,31288342,31465381,31469727,31529498,31595543,31701995,31794704,31797481,31854474,31929817,31938972,31950170,32214502,32787728,32913157,32919622,32941727,33238191,33675958,33729862,33813050,34090674,34149290,34469307,34643782,34894675,34927260,35076152,35129448,35144617,35207077,35446342,35518297,35585879,35606422,35766358,35769042,35819638,35827717,35907720,35979382,36380137,36886194,36919002,37040662,37255744,37410598,37417348,37482620,37554671,37674358,37823435,37884037,38042394,38148118,38301568,38340204,38355781,38531497,38776915,38811268,38938981,39095535,39112537,39159028,39248518,39460671,39520629,39561622,39569275,39767399,39913897,39970597,40083781,40396185,40484595,40533637,40575660,40743290,40893508,40923481,40979148,41118502,41273398,41474281,41519387,41608495,41623544,41634262,41701904,41746981,41788678,41855557,41873610,41912712,42017881,42275908,42507382,42762863,42814438,43028391,43072184,43089264,43183568,43240837,43280704,43345381,43605481,43630438,43796071,44341078,44377151,44476357,44645295,44665184,44724554,44778757,44806223,44947702,44978917,44979144,45028777,45042140,45106995,45136490,45218147,45388122,45552022,45643100,45711748,45719257,45903478,46049223,46053862,46304182,46316015,46491097,46532298,46681177,46826487,46914642,47059610,47151337,47151801,47483130,47522281,47621648,47698582,47797702,47843077,47847238,48094678,48114128,48127247,48439684,48440422,48456207,48475422,48581514,48690792,48784700,48872281,48891948,49031302,49118788,49457908,49651177,49913302,49930194,50027923,50135284,50162871,50248332,50531507,50601537,50648672,50653417,50765871,50836970,51224275,51468502,51574981,51770281,51847897,51951142,52018095,52095622,52191862,52218111,52231657,52239958,52497028,52645477,52767958,52833268,52911622,53357612,53546600,53574354,53624281,53649530,53869477,53913238,53960758,53973481,54050568,54128394,54163788,54175348,54247657,54315795,54482422,54583897,54771720,54777141,55096438,55200079,55298991,55455781,55485968,55519942,55579218,55673257,55747538,55801558,56006264,56127397,56179828,56304517,56450137,56471532,56479535,56719352,56736118,56810570,56979756,57061702,57124057,57154582,57200998,57205381,57392617,57419077,57432838,57653977,57710518,57936848,58016903,58106281,58172038,58204700,58227781,58394857,58423168,58512037,58541640,58677862,58852777,58861318,59134981,59177317,59240281,59281897,59313410,59565944,59643481,59746715,59820262,59871577,59926981,59981737,60047542,60157684,60239925,60659039,60726982,60784357,60798937,60806889,60816628,60827881,60926917,60985784,61004364,61035781,61154171,61165381,61190895,61267942,61402981,61469130,61582438,61592197,61618185,61732057,61816297,61847977,61851382,61942981,61976281,62019877,62106277,62150917,62158981,62166757,62177881,62184937,62194981,62223781,62239657,62253718,62257477,62421714,62444416,62458948,62475743,62495391,62876998,63007047,63186807,63395930,63679994,63806038,63809271,63850102,63892220,64008890,64202038,64255920,64379436,64390035,64480700,65071684,65120998,65178954,65270288,65302995,65551431,65567072,65686342,65726064,65859345,65875082,66062867,66369207,66851878,67011687,67066438,67237798,67342708,67494358,67659031,67775442,68172684,68376119,68387782,68539648,68609007,68682704,68726278,68753210,68895142,68979478,69232102,69278068,69533135,69656528,69717791,69777478,69845640,70028278,70153462,70158584,70249968,70263578,70361782,70882948,71162714,71176092,71225535,71273638,71522884,71592895,71690223,71696058,72218662,72287910,72367922,72589395,72626902,72708358,73117684,73429074,73762956,73825583,73842022,73922518,73941822,74399275,74444182,74484263,74502016,74705284,75099794,75241462,75479398,75835222,75973904,76075116,76111078,76225160,76523018,76660438,76670664,76674495,76798623,76810668,77078027,77107104,77128822,77268042,77286403,77376840,77400982,77428688,77478598,77535983,77981542,78289702,78363594,78576345,78788278,78799348,78928407,78995271,79017478,79031214,79498983,79639340,79890742,79928518,80256904,80297535,80342998,80568262,80669811,80685050,80983684,81500662,81786128,82110623,82386358,82496422,82503852,82535296,82546415,82789222,82881290,82898758,83028218,83153782,83153908,83226502,83439762,83444278,83505747,83661478,83814768,83986198,84309622,84774502,85201222,85352450,85470642,85514858,85650704,85753305,85801798,85911474,85942438,85977111,86122442,86152918,86168595,86254497,86257942,86432662,86467558,86641798,86655770,86676598,86745492,87048945,87107274,87403702,87987142,88089622,88226038,88328182,88421295,88904278,88938022,89037935,89276788,89279130,89345087,89542678,90042598,90185187,90289017,90424802,90538918,90789508,90933382,90971420,91274600,91390678,91416207,91470192,91570035,91693684,91812502,91909462,91913168,92009394,92295862,92468595,92852208,92934742,93409702,93724342,94107260,94255558,94286662,94291614,94316048,94997638,95231072,95456758,95567208,95581828,95593708,95639398,95760838,96211047,96242258,96357042,96516599,96663478,96768388,96822060,96849183,97286758,97333943,97674704,97680170,97698358,97727638,98048662,98164918,98483302,98569798,98633168,98684902,98780435,99055698,99128504,99256582,99333050,99457548,99540022,...,90955679166810254066703797189181498368810510226205072664405034586410340004115089510035093277163528568822095193524435185506204011983192445076806495272879598262267628794094671899191878135271577244453633167627604880013924324580644736989343809403660850729585885121923543255183287479471205098602712316368271477686424800424460470759489321187950369772573575434459259677008907475256008608899108730374022440632938871191294343716931024122942840535364429728691524089942375087437312621855532737019869169058373185395880797244363187471675432478686237127759575161560002584049625066118086285734169352742308656064464714037790946080232280525445333369943976682234071879298325628824527119276384337541300924238556055438971226750379440629760492906829085230932698435881456368764327992924393245800350532822195099194123513239610423241869606671253334960131508362223308834201086859575884581605592738179479216416235495344977626042595015113450340419128426344313881267263453379640623193981354834489339149806960526757366986816455582257463178547620664117698638664532595749025711708559356812820090343124997073518100440369177627475575794043035615870882106337678012230222519711898498824673677485135796706545584500628298236873547562823654157134192212286775769436743844540271475588123137709442358744638075345314677695492708824137961713593912201219614482177036572770239607067397752279320538241187906803426707892756573491212335122153046298319281578792368254529623493638327201485508349839875690506183832543250995805588625321426937657957083029456565458385893674861827154038829199689862240337528923911657177190406502973465086682801169662931421335265298469250568585389463605160824752159199178562988055109895138416019255147743441245954277683414225288927093865277150251728482097492224898964448600519118674784619900378608519798714137224556722867387354751887675860498846133192507480141861126240005296925486829697628069767701968236484953441832963538375944620140049970375243842102771972248193962482661126421185596762950350931660448199617791116974444552351058427575845362392850704132952489114475227878737637766655451350843942199271918831168126281063811163542009340917983353199569595210340576367898920046710885571251099955693433823671467589599848908788404825108773816379534127226890430393682475636627760749635422776902720695413746112738548323252019197959621768134747359048955953905378946197380123188916456125647907110118363345218767882422586081686552571977776738723267797127676859226209508392634798282266830846498741304084226780067318934736811963265988100754402}
15783  8619847747231014384253087674735963125332507752730604985732779602: {331233,394325,473190,504736,567828,614913,867185,898377,1040622,1339685,1464657,1545166,1607622,1907081,1935897,2030073,2207380,2218353,2283605,2500593,2648856,2740326,2868502,2979963,3153400,3226085,3547575,3696785,3784080,3871302,3984497,4036352,4076401,4097860,4257090,4436142,4540896,4551461,4563753,4735633,4750737,4854388,4917432,5108508,5124417,5311113,5532111,5823430,6150057,6342817,6429273,6522297,6765190,6934840,6988116,7079937,7094681,7567573,7758341,7780006,7801695,8100033,8118228,8151766,8321808,8324873,8377737,8383985,8791393,9030742,9209553,9266737,9301857,9362034,9470062,9855177,10060782,10142356,10248785,10348366,10492577,10646041,10683537,10714085,10733998,11056081,11142897,11584335,11643605,11645380,11867206,11953921,12298542,12356624,12517377,12684022,12806662,12856902,12901060,13156953,13166164,13528660,13755886,13790875,13901202,13911961,13922116,13972326,13974456,14250633,14489080,14523513,14783380,14877742,15133222,15208630,15347285,15353657,15481272,15612873,15721263,16234392,16300215,16337193,16549050,16582582,16764982,16969713,17077030,17165281,17337766,17386896,17410481,17416431,17510937,17650385,17652320,17740056,17961297,18059188,18250356,18263691,18321153,18416742,18531118,19308777,19398417,19486385,19560258,19701250,19784566,19846257,19858860,19874230,19957563,20082964,20492436,20650857,20978113,21052633,21180462,21182784,21186177,21453513,21465268,21773285,22128713,22191637,22426702,22520697,22538681,22597582,23052993,23318817,23383662,23469166,23560504,23641500,23731396,23830632,23849076,23849817,24051185,24505685,24521830,24615796,24775702,24997353,25217600,25610068,25701513,25798840,25826593,26127942,26505567,26754873,26809461,27017673,27322904,27508276,27630033,27820366,28153977,28369800,28371508,28677057,28689262,28861422,28874281,29023695,29112297,29199273,29406822,29426196,29894217,30075190,30261120,30501033,30648577,30660097,30691633,30738267,30830885,30958608,31025476,31419255,31916025,32078537,32177105,32278528,32282260,32291297,32486577,32598776,32735681,32830593,33071233,33160948,33291028,33513872,33527380,34043760,34413605,34671124,34828434,35393860,35481577,35501422,35824353,36090228,36281206,36313344,36399941,36419577,36420601,36489166,36593175,36641105,36673623,36928833,36997062,37183137,37403875,37529585,37555078,37688161,37703106,37720097,37785622,37870616,37937177,38299230,38367033,38612526,38738712,38859605,38868241,39032720,39066353,39082036,39356751,39462153,39522262,39743380,39923715,40160824,40232856,40636977,40666553,40852512,40984660,41126017,41141542,41296326,41389737,41668942,41723673,41959636,42099862,42390393,42472632,42585296,42604443,42678337,42972513,43568902,43581051,43636353,43659075,43706542,43845190,43911810,43969326,44215953,44317588,44711817,44876913,44884650,45035502,45180927,45206817,45261963,45454232,45618281,45700953,45794641,45947697,45959076,46265557,46358457,46555681,46569680,46631526,46771685,46839264,46853275,46932513,47080366,47090177,47294247,47692056,47781711,47876960,47908458,47925255,48316297,48321753,48514085,48550222,48552641,48948785,49003217,49005481,49178713,49181592,49225336,49379433,49451566,49629433,49967257,50513937,50594793,50694742,50719575,50723192,51116885,51120272,51136011,51223935,51255557,51646582,51669766,51886318,51965673,52029430,52120201,52127380,52140581,52390890,52614228,52694172,52844885,52857697,52892081,53169513,53200417,53362561,53409633,53589937,53649537,53653563,53729457,53840230,53861580,53969073,53979460,54100880,54638864,54844822,55329291,55378503,55560993,55790293,55831480,55883616,55966702,56115897,56126022,56164261,56223930,56302675,56483206,56511537,56977486,57053875,57063591,57111502,57139685,57222177,57371188,57452352,57510306,58216902,58274581,58738542,58872777,59342433,59527060,59615473,59972192,60097366,60106918,60142660,60508006,60517496,60549605,60863490,60865937,60949462,60980875,61114935,61340262,61388761,61398485,61398964,61468722,61677753,61822385,61910097,62043064,62435316,62451393,62552856,62669105,62683017,62810415,62869068,63086201,63310840,63413862,63761073,64146977,64221657,64608276,64633896,64769381,64775352,64921056,65147182,65189264,65246953,65445657,65451401,65621285,65823857,65847217,66041585,66384886,66434017,66477166,66511617,66573592,66697015,66883828,66933250,66997776,67086831,67196806,67421553,67468716,67563210,67687828,67704735,67719185,67739542,67750102,68082183,68328033,68394617,68464650,68567622,68831153,68855217,69018958,69080793,69357460,69456273,69624148,69684997,69798447,69879382,70007830,70224785,70224791,70248361,70371963,70589415,70793062,70867781,70899190,71224695,71432472,71547873,71562862,71696553,71770857,72067424,72142017,72171192,72218384,72224878,72409157,72421060,72659526,72660633,72713133,72755875,72872271,73028281,73028960,73036188,73177050,73337922,73393681,73546953,73678182,73731988,73778597,74105624,74186862,74457430,74698217,74869953,74895291,74944366,75197105,75202926,75295376,75372498,75383617,75831457,75973008,76020785,76232230,76255455,76509913,76593977,76756558,77071013,77202753,77926713,78055520,78073685,78143433,78169877,78287793,78295558,78359937,78426358,78464086,78598241,78745542,78846281,79151937,79249902,79340053,79367433,79555246,79773457,79865275,80036418,80266801,80319900,80361531,80424022,80474295,80554006,80600875,80622382,80869857,80941137,81075852,81192591,81245682,81263022,81339152,81339605,81587860,81674437,81723633,81958840,82157580,82526542,82644657,83209193,83228952,83279913,83310166,83327188,83368827,83621307,83662037,83702337,84005077,84009396,84178385,84249076,84269742,84483377,84654742,84707298,85079028,85104177,85215855,85457537,85465366,85469634,85592553,85674560,85731873,85801497,85839248,85853380,86149257,86304022,86417398,86460742,86565777,86597585,86737441,86905272,87070660,87258057,87307050,87401908,87494017,87634752,87698230,87812460,88016793,88291977,88492276,88603685,88970115,89105233,89348916,89403605,89730393,90071313,90236526,90296302,90367256,90896912,90974533,91090473,91224942,91397105,91478676,91506546,91722982,91887097,91901913,92101697,92132833,92203695,92373657,92493413,92777073,93089497,93127520,93247177,93380577,93381605,93487126,93632571,93666624,93688422,93741353,93782662,93981073,94315497,94403281,94414342,94901456,94967380,95082862,95093895,95281450,95519991,95586964,95594744,95662702,95709057,95775153,95838330,95897782,96013335,96189862,96303057,96383880,96569154,96721050,96785860,97292182,97607526,97681497,97768431,97905432,97994038,98134177,98350608,98499185,98529513,98589096,98670766,98779081,98812623,98830102,98895046,99062977,99549175,99867886,99921742,99974897,...,136433518750215381100055695783772247553215765339307608996607551879615510006172634265052639915745292853233142790286652778259306017974788667615209742909319397393401443191142007848787817202907365866680449751441407320020886486870967105484015714105491276094378827682885314882774931219206807647904068474552407216529637200636690706139233981781925554658860363151688889515513361212884012913348663095561033660949408306786941515575396536184414260803046644593037286134913562631155968932783299105529803753587559778093821195866544781207513148718029355691639362742340003876074437599177129428601254029113462984096697071056686419120348420788168000054915965023351107818947488443236790678914576506311951386357834083158456840125569160944640739360243627846399047653822184553146491989386589868700525799233292648791185269859415634862804410006880002440197262543334963251301630289363826872408389107269218824624353243017466439063892522670175510628692639516470821900895180069460934790972032251734008724710440790136050480224683373386194767821430996176547957996798893623538567562839035219230135514687495610277150660553766441213363691064553423806323159506517018345333779567847748237010516227703695059818376750942447355310321344235481235701288318430163654155115766810407213382184706564163538116957113017972016543239063236206942570390868301829421723265554859155359410601096628418980807361781860205140061839134860236818502683229569447478922368188552381794435240457490802228262524759813535759275748814876493708382937982140406486935624544184848187578840512292740731058243799534793360506293385867485765785609754460197630024201754494397132002897947703875852878084195407741237128238798767844482082664842707624028882721615161868931416525121337933390640797915725377592723146238337348446672900778678012176929850567912779698071205836835084301081032127831513790748269199788761220212791689360007945388230244546442104651552952354727430162749445307563916930210074955562865763154157958372290943723991689631778395144425526397490672299426686675461666828526587641363768043589276056199428733671712841818106456649983177026265913298907878246752189421595716745313014011376975029799354392815510864551848380070066328356876649933540150735507201384399773363182607237663160724569301190840335645590523713454941641124453134165354081043120619169107822484878028796939432652202121038573433930858068419296070184783374684188471860665177545017828151823633879122529828857966665108084901695691515288839314262588952197423400246269748111956126340170100978402105217944898982151131603}
15784  8657830612165268352779667450734598295308223336087359129804926783: {173503,268039,362503,441644,630920,709785,739639,757104,819884,833743,851742,1197836,1353554,1387496,1560933,1583983,1770823,1952876,2143496,2143639,2317749,2411433,2581196,2706764,2759225,2957804,3229874,3311070,3334124,3531808,3623383,3653768,3941750,3973284,3990439,4110489,4302753,4348754,4730100,4812103,4903039,5045440,5091794,5122325,5161736,5647562,5676120,5806953,5898583,5914856,6054528,6067985,6085004,6146790,6168583,6202034,6334316,6385635,6556576,6654213,6811344,6832556,6939314,7081484,7281582,7376148,7490762,7662762,7952023,8200076,8406962,8481439,8572364,8668550,8696396,8735145,9317488,9439916,9793639,9880543,10147785,10227439,10228562,10313983,10402260,10482174,10573183,10800044,10812046,10824304,11095744,11170316,11670009,12177342,12227649,12279404,12369439,12402476,12482712,12575114,12677945,12933962,13140236,13213639,13292234,13414376,13546113,13967263,14043051,14133943,14185394,14205093,14244716,14383423,14556725,14857196,14963023,15091173,15210343,15213534,15445780,15522549,15621103,15960914,16100997,16126325,16398056,16457705,16490762,16689836,16842583,16910825,17004223,17142536,17402645,17407063,17468070,17542604,17800809,17808103,18111350,18447813,18479225,18534936,18629768,18632608,19000844,19026033,19209993,19285353,19351590,19364684,19468754,19629703,19749246,19786303,19989962,20292990,20615441,20633829,20641696,20817164,20851803,20855762,20883174,20958489,20961684,21182743,21373514,21645856,21733620,21782924,22065400,22175070,22316613,22573985,22576562,22626284,22699833,22782439,22812945,23089994,23182528,23221908,23347916,23653408,23905639,23907541,23948396,24333808,24350383,24351588,24428204,24555656,24773177,24823575,24873873,25012639,25103705,25147473,25468874,25615545,25637714,25745036,25864556,26006649,26031223,26080344,26103439,26391583,26461676,26463439,26478480,26610084,26831585,27088782,27323248,27375534,27534476,27603343,27625113,27796677,27885439,28240616,28243712,28248236,28306423,28523929,28585639,28604684,29324638,29340387,29450630,29551875,29664245,29676849,29788290,29811345,29964439,30027596,30124446,30737324,30738654,30769745,30964562,30979639,31091756,31178216,31381183,31456394,31522000,31770693,31774176,31798768,31799756,32012585,32197902,32248550,32308039,32635639,33086474,33136789,33329804,33640053,33671863,33734474,33896373,34153630,34268684,34385345,34500223,34626583,34837256,34878439,34941223,35075493,35140721,35203749,35340756,35462250,35464385,35597094,35673164,35745948,35750863,35773614,35824562,36023564,36120439,36303434,36365383,36782745,36791263,36840044,36923694,36972703,37098674,37163553,37262134,37538636,37732274,37826400,37988623,38205962,38236076,38415102,38481896,38698260,38751463,38781845,38816396,38932364,39191913,39209096,39234928,39673639,39772453,39775562,39858956,40348160,40352825,40668044,40748470,40800439,40984356,41262414,41278144,41451185,41613785,41626639,41730549,41794514,41844223,41892340,41909225,41923838,42168439,42554700,42557262,42564554,42649903,43033893,43072169,43282783,43292133,43315436,43338905,43491439,43636562,43698943,43774124,43801637,44059303,44110233,44139294,44242325,44382793,44466823,44517439,44730238,45112785,45391680,45514639,45563743,45608714,45953983,46195543,46437912,46483039,46538214,47143783,47190439,47338270,47765804,47809006,47854034,48108439,48120304,48417792,48423390,48559436,48790900,48852545,48898164,49185674,49238444,49329416,49577516,49645639,49679225,49741422,49900303,49920434,49936542,50026663,50034281,50201030,50270808,50291070,50525623,50537929,50933503,51065640,51156044,51230825,51483368,51651616,51758993,51813962,52006686,52037263,52242651,52247474,52449545,52475668,52616204,52952809,53090790,53231620,53252133,53516143,53551639,53643808,53937343,53968562,54135342,54182636,54212383,54287681,54421809,54470016,54733749,54781543,54879823,54962954,55061768,55186316,55207097,55396985,55495593,55549639,55631564,55826983,55913561,56038663,56276263,56332617,56371274,56422423,56480383,56520524,56554659,56630176,56678433,56709343,56805924,56817790,56905903,56989063,57040606,57209354,57261583,57296684,57448063,57448845,57553039,57765194,57918789,58085263,58108068,58158703,58181804,58212100,58251893,58303639,58422439,58549080,58623054,58625768,58631743,58954604,59006981,59123909,59283393,59410639,59615070,59615756,59630023,59707639,59784103,59803039,59821903,59835884,59846200,59915143,60047336,60241236,60270103,60275756,60320863,60349284,60517423,60564943,60934604,61162183,61263596,61278768,61321994,61333039,61390639,61446439,61476990,61489783,61531670,61562863,61661143,61689223,61712313,61786639,61811276,61819903,61867639,61912783,61944489,62119639,62160463,62164639,62175368,62235703,62243263,62247943,62283439,62283583,62452352,62503413,62576684,62930762,62939454,63058996,63149793,63191086,63403990,63589408,63594962,63708948,63859634,63877944,63900340,64429004,64842421,65159225,65236457,65353353,65559813,65575456,65767785,65826314,65839244,65867715,65883454,65953989,66476382,67326975,67351916,67459724,67474325,67553253,67626100,67667633,68181348,68298580,68938614,69287564,69789350,69854520,69947289,70152304,70258896,70289234,70414154,70620549,70892684,71036594,71171758,71212844,71532716,71538084,71639276,71655434,71713985,71815440,71862687,71958764,72760274,72825333,73772388,73834969,73838004,74081324,74177349,74408825,74511488,74821196,74834696,74965240,75109342,75178325,75348716,75618917,75646870,75768074,76042113,76084788,76296236,76603136,76680408,76711562,76748705,77062994,77296229,77469873,77504649,77553830,77622536,77829477,77877962,78044145,78191070,78225074,78318056,78497036,78586335,78921342,79041258,79071349,79123244,79138550,79534798,79827794,79941194,79960673,80167562,80760345,80792370,80969190,81067274,81151320,81486580,81787016,81846962,81958296,82237004,82267233,82393753,82546796,82948562,83038774,83216990,83247088,83268524,83403808,83493962,83577356,83604785,83645401,83711114,83747220,83825424,83950053,84035762,84189033,84335895,84551816,84609785,84724809,85014764,85287521,85466229,85525726,85628876,85667253,86056782,86144368,86178528,86265459,86367136,86378921,86481674,86561408,86690762,86696825,87030185,87210962,87260876,87325353,87592142,88107813,88682156,88754302,88952714,89290590,89330368,89449108,89557514,89612446,89895404,89957834,89958288,90057554,90084280,90146049,90160377,90213990,90272980,90436294,90526325,90762009,90776244,91104044,91286200,91295235,91423496,91424193,91438514,91515413,91806956,92010393,92098446,92107724,92164985,92203083,92608364,92632030,92982194,93064596,93362354,93652974,93829284,94119220,94302674,94303602,94966260,95044562,95120793,95243296,95397164,95595404,95686154,95694476,96189356,96228256,96254494,96879368,96880844,96912414,96950844,97163028,97346389,97381584,97569400,97720773,97744562,97783896,98062604,98237576,98915816,99302354,99577329,99715749,99826604,99860388,...,181911358333620508133407594378362996737621020452410145328810069172820680008230179020070186554327057137644190387048870371012408023966384890153612990545759196524535257588189343798383756270543154488907266335255209760027848649161289473978687618807321701459171770243847086510366574958942410197205424632736542955372849600848920941518978642375900739545147150868918519354017814950512017217798217460748044881265877742382588687433862048245885681070728859457383048179884750174874625243711065474039738338116746370791761594488726374943350864957372474255519150323120005168099250132236172571468338705484617312128929428075581892160464561050890666739887953364468143758596651257649054238552768675082601848477112110877942453500758881259520985813658170461865396871762912737528655985848786491600701065644390198388247026479220846483739213342506669920263016724446617668402173719151769163211185476358958432832470990689955252085190030226900680838256852688627762534526906759281246387962709668978678299613921053514733973632911164514926357095241328235397277329065191498051423417118713625640180686249994147036200880738355254951151588086071231741764212675356024460445039423796997649347354970271593413091169001256596473747095125647308314268384424573551538873487689080542951176246275418884717489276150690629355390985417648275923427187824402439228964354073145540479214134795504558641076482375813606853415785513146982424670244306092596638563157584736509059246987276654402971016699679751381012367665086501991611177250642853875315914166058913130916771787349723654308077658399379724480675057847823314354380813005946930173365602339325862842670530596938501137170778927210321649504318398357125976110219790276832038510295486882491908555366828450577854187730554300503456964194984449797928897201038237349569239800757217039597428274449113445734774709503775351720997692266385014960283722252480010593850973659395256139535403936472969906883665927076751889240280099940750487684205543944496387924965322252842371193525900701863320896399235582233948889104702116855151690724785701408265904978228950455757475275533310902701687884398543837662336252562127622327084018681835966706399139190420681152735797840093421771142502199911386867647342935179199697817576809650217547632759068254453780860787364951273255521499270845553805441390827492225477096646504038395919243536269494718097911907810757892394760246377832912251295814220236726690437535764845172163373105143955553477446535594255353718452419016785269596564533661692997482608168453560134637869473623926531976201508804}
15785  8695979533203796659577655241420709391645738787887937471804055268: {552055,662466,788650,946380,1009472,1024855,1135656,1214059,1229826,1277613,1497295,1734370,1796754,1875559,2030331,2081244,2253823,2441095,2679370,2929314,3090332,3197047,3215244,3226495,3383455,3697255,3814162,3871794,4060146,4167655,4414760,4436706,4516519,4567210,4708951,4844811,4966605,5001186,5086927,5175499,5297712,5480652,5737004,5912625,5959926,6306800,6404959,6452170,6523131,7095150,7095583,7393570,7440763,7568160,7606255,7637691,7742604,7759327,7917895,7968994,8072704,8130859,8152802,8195720,8293399,8325931,8384623,8471343,8514180,8540695,8671087,8851855,8872284,9081792,9102922,9127506,9220185,9303051,9471266,9501474,9708776,9834864,9894799,10217016,10248834,10250095,10408971,10493911,10622226,10715455,10870495,10922373,10961719,11064222,11216203,11236143,11494143,11646860,11737579,11799895,12300114,12610443,12685634,12858546,13002825,13044594,13226407,13500055,13530380,13869680,13962895,13976232,14159874,14189362,14348299,14999719,15135146,15342843,15349255,15503095,15516682,15560012,15603390,15723261,16200066,16218069,16236456,16301047,16303532,16425295,16643616,16649746,16755474,16767970,17582786,17755243,17805895,18061484,18145231,18266013,18419106,18440059,18533474,18571495,18603714,18724068,18862671,18940124,19307225,19400943,19466623,19710354,19938351,20121564,20284712,20497570,20576023,20696732,20862295,20985154,21278091,21292082,21367074,21428170,21467996,21486199,21858859,21928255,22112162,22285794,22541563,22820301,23168670,23287210,23290760,23722327,23734412,23751055,23907842,23941371,24205855,24597084,24710539,24713248,24732091,24736143,25034754,25368044,25613324,25713804,25802120,25841479,26021455,26202105,26313906,26332328,26636623,26900239,27057320,27167025,27228655,27280939,27511772,27581750,27802404,27823922,27844232,27944652,27948912,28282855,28487359,28496011,28501266,28670059,28978160,29027385,29047026,29184895,29203131,29566760,29623869,29688703,29755484,29931211,29935495,29984943,30266444,30417260,30439485,30482599,30535255,30694570,30707314,30962544,31225746,31283643,31324761,31442526,32060271,32181295,32330695,32468784,32600430,32674386,32739883,33077095,33078463,33098100,33165164,33200911,33262605,33529964,33671659,33768919,33864843,33939426,34154060,34307959,34330562,34418095,34518283,34634991,34675532,34773792,34820962,34832862,35021874,35300770,35304640,35310295,35480112,35755855,35922594,36118376,36380503,36500712,36527382,36642306,36833484,36931327,37062236,37534495,38146603,38203311,38421655,38456571,38617554,38687623,38796834,38864695,38972770,39120516,39223183,39402500,39562927,39569132,39692514,39717720,39748460,39749695,39787771,39831583,39915126,40165928,40321483,40436527,40633173,40671751,40682287,40984872,41063301,41301714,41662255,41956226,42105266,42360924,42365568,42372354,42835855,42907026,42930536,43163239,43477867,43546570,43986957,44042311,44175945,44257426,44291239,44383274,44591455,44682435,44853404,44873323,45029455,45041394,45047947,45077362,45186669,45195164,46050055,46105986,46107981,46446843,46637634,46767324,46903303,46923295,46938332,47121008,47184591,47219359,47283000,47462792,47661264,47698152,47699634,47795095,47843563,47888863,48102370,48179047,48296853,48372825,48520495,48558847,48665455,49011370,49043660,49231592,49347979,49460167,49551404,49629711,49823695,49994706,50435200,50601711,50664343,50835055,51220136,51230445,51262111,51297547,51403026,51597680,51653186,51901099,52232059,52255884,52280779,52365425,52541419,52669927,53011134,53193375,53232223,53294383,53395641,53509746,53618922,53660421,53736843,54035346,54144295,54403447,54455151,54536827,54645808,54717655,54790423,55016552,55260066,55385541,55640732,55648011,55893201,56227963,56307954,56598411,56739600,56743016,57308943,57354114,57378524,57561607,57622653,57722844,57748562,58047390,58224594,58274767,58398546,58472839,58813644,58852392,58884859,58932343,59663343,59707255,59788434,59972719,60150380,60522240,60699295,60988625,61002066,61122705,61297154,61320194,61383266,61476534,61548055,61661770,61893621,61917216,61922719,61971895,62050952,62054287,62228119,62508823,62691771,62838510,62885757,63190303,63614119,63832050,63835893,63846831,63945055,64155211,64157074,64354210,64557056,64564520,64582594,64777663,64842283,64863703,64973154,65197552,65454843,65459767,65471362,65480359,65594585,65661186,65770255,66051943,66142466,66208941,66321896,66539525,66582056,67027744,67054760,67095357,67151359,67437847,67728295,67767559,67810303,67919719,67928863,68087520,68413071,68528299,68827210,68839951,68982895,69110791,69342248,69539455,69656868,69807321,70508107,70650655,70787720,70963154,71002844,71007405,71307319,71394679,71563639,71620855,71648706,71713509,71781051,71932471,72180456,72562412,72626688,72635085,72727255,72765125,72799882,72839154,72841202,72930667,72978332,73186350,73282210,73347246,73693255,73778511,73788031,73857666,73982839,73994124,74366274,74432779,74519695,74612133,74707963,74794855,74807750,74880651,74904813,75059170,75110156,75301545,75344695,75376322,75406212,75436605,75440194,75469003,75571244,75741232,75874354,75941311,76168255,76579495,76598460,76603771,76734066,77225052,77264095,77477424,77652223,77719210,77720943,77736482,77791831,78010029,78065440,78132706,78164072,78179911,78220855,78371211,78632059,78713502,78823745,78856363,78924306,79044524,79190383,79205167,79486760,79636185,79847430,79875425,79995559,80067367,80321648,80465712,80536255,80690959,80952843,81067303,81203013,81273954,81333106,81705024,81892459,81969320,82252034,82283084,82299055,82444431,82592652,82779474,83265439,83337884,83447346,83560903,83919272,84189895,84199724,84324655,84494443,84532625,84556911,84769447,84780786,84945264,85170592,85208886,85226685,85318711,85356674,85373225,85560909,85814031,85945026,85957879,86138191,86551339,86609455,86647791,87137804,87162102,87272706,87318150,87413084,87664519,87690380,87736747,87823620,87934581,87938652,88279711,88431906,88615855,88635176,88888567,89016055,89415895,89422605,89423634,89444767,89545003,89549095,89753826,89769300,89948455,90071004,90361854,90413634,90523926,90651583,90908464,91236562,91401906,91589282,91620859,91869799,91895394,91918152,91982991,92215485,92297505,92458219,92531114,92601655,92716914,93111362,93139360,93195727,93234559,93263052,93375821,93526495,93542191,93543370,93678528,93706550,93865026,94160732,94180354,94185895,94396143,94409181,94588494,94696111,94786629,94806859,95105985,95370295,95384112,95392443,95563422,95753920,95789451,95816916,95850510,95855191,96086839,96092299,96274999,96632594,96643506,97028170,97100444,97105282,97897570,98006434,98010962,98062459,98121295,98314699,98357426,98363184,98450672,98602747,98739471,98758866,98825181,98903132,98904055,99258866,99714573,99843991,99934514,...,272867037500430762200111391567544495106431530678615217993215103759231020012345268530105279831490585706466285580573305556518612035949577335230419485818638794786802886382284015697575634405814731733360899502882814640041772973741934210968031428210982552188757655365770629765549862438413615295808136949104814433059274401273381412278467963563851109317720726303377779031026722425768025826697326191122067321898816613573883031150793072368828521606093289186074572269827125262311937865566598211059607507175119556187642391733089562415026297436058711383278725484680007752148875198354258857202508058226925968193394142113372838240696841576336000109831930046702215637894976886473581357829153012623902772715668166316913680251138321889281478720487255692798095307644369106292983978773179737401051598466585297582370539718831269725608820013760004880394525086669926502603260578727653744816778214538437649248706486034932878127785045340351021257385279032941643801790360138921869581944064503468017449420881580272100960449366746772389535642861992353095915993597787247077135125678070438460271029374991220554301321107532882426727382129106847612646319013034036690667559135695496474021032455407390119636753501884894710620642688470962471402576636860327308310231533620814426764369413128327076233914226035944033086478126472413885140781736603658843446531109718310718821202193256837961614723563720410280123678269720473637005366459138894957844736377104763588870480914981604456525049519627071518551497629752987416765875964280812973871249088369696375157681024585481462116487599069586721012586771734971531571219508920395260048403508988794264005795895407751705756168390815482474256477597535688964165329685415248057765443230323737862833050242675866781281595831450755185446292476674696893345801557356024353859701135825559396142411673670168602162064255663027581496538399577522440425583378720015890776460489092884209303105904709454860325498890615127833860420149911125731526308315916744581887447983379263556790288851052794981344598853373350923333657053175282727536087178552112398857467343425683636212913299966354052531826597815756493504378843191433490626028022753950059598708785631021729103696760140132656713753299867080301471014402768799546726365214475326321449138602381680671291181047426909883282248906268330708162086241238338215644969756057593878865304404242077146867861716136838592140369566749368376943721330355090035656303647267758245059657715933330216169803391383030577678628525177904394846800492539496223912252680340201956804210435889797964302263206}
15786  8734295230619786749469392032466196901524632404086808140854101563: {205049,299573,347006,536078,582713,725006,739733,833849,883288,927893,993699,1182975,1261840,1419570,1479278,1514208,1615349,1639768,1667486,1677653,1703484,1844739,2143913,2174933,2395672,2453753,2601555,2608373,2695131,2707108,2774992,2793653,3121866,3167966,3531893,3541646,3862915,3905752,4019055,4286992,4287278,4393971,4539449,4635498,4822866,4843049,5162392,5357333,5413528,5518450,5538293,5721243,5749049,5807691,5915608,6090219,6289193,6459748,6622140,6655059,6668248,6850815,7005353,7063616,7153973,7171255,7246766,7307536,7332053,7450613,7501779,7628213,7775993,7883500,7946568,7980878,7982549,8220978,8495179,8605506,8658473,8697508,8921813,8939889,9009449,9097013,9301049,9460200,9624206,9678255,9794933,9806078,10090880,10183588,10244650,10323472,10642725,10689593,11033849,11090355,11295124,11352240,11548073,11605049,11613906,11797166,11829712,11953491,12109056,12135970,12170008,12229203,12293580,12337166,12399353,12404068,12540533,12668632,12771270,12794153,12878549,13113152,13308426,13495253,13622688,13654383,13662773,13665112,13691259,13878628,14162968,14206899,14252211,14558575,14563164,14752296,14981524,15047573,15239849,15322133,15325524,15373251,15459113,15650549,15732473,15904046,15933339,15977813,16195349,16385273,16400152,16547753,16596333,16813924,16871849,16912975,16962878,17144728,17337100,17392792,17409449,17470290,17749123,17810549,17890553,17997113,18156713,18450171,18607349,18634976,18792233,18879832,18924053,19028451,19287819,19450015,19566891,19587278,19710773,19761086,20127413,20295570,20379415,20454878,20457124,20627966,20645333,20804520,20903093,20964348,21146366,21211349,21239811,21284043,21339449,21600088,21624092,21648608,21976949,22191488,22340632,22432853,22576855,22702719,22810793,22861049,23036693,23040787,23161913,23275023,23340018,23405085,23675155,23933813,24300099,24354684,24363703,24455298,24558808,24599849,24738878,24804952,24893993,24965424,24974619,25016213,25040633,25133211,25150228,25151955,25355890,25454549,25867924,25870915,26059049,26131253,26280472,26374179,26427278,26467253,26539049,26584468,26828752,26834995,27092226,27324053,27418613,27536633,27628659,27800211,27889493,27905571,27912953,27934526,28086102,28267886,28310549,28370788,28410186,28489432,28613033,28729013,28766846,29113450,29167913,29277391,29351849,29565531,29668015,29714392,29926046,30182346,30420686,30427068,30715049,30746355,30872213,30891560,31045098,31118393,31242206,31477731,31603579,31710055,31921828,31938123,32005433,32016655,32050611,32142255,32201994,32252650,32640533,32771093,32796112,32915410,32923049,32966393,32981524,33168243,33379672,33428691,33685166,33821650,33826553,34008446,34285072,34378793,34389715,34753005,34805290,34814126,34904693,34930815,34936140,35085208,35092793,35145187,35155349,35197013,35259449,35601618,35616206,35838713,35861763,35879849,36125993,36222700,36391349,36553973,36695849,36895626,36958450,37069872,37159253,37194355,37239413,37259536,37265216,37339433,37552131,37564219,37833055,37935353,37994549,38001688,38021575,38052066,38419986,38570706,38582549,38703180,38729368,38937508,39163349,39221033,39259406,39470859,39498492,39572606,39964373,39979924,40303349,40359593,40434473,40585980,40825493,41194613,41230882,41267658,41268053,41283392,41323049,41372625,41456455,41469353,41529943,41634328,41703606,41711524,41735883,41766348,41869049,41912455,41916978,41923368,42175253,42229049,42365486,42621353,42674549,42692575,42747028,42751899,43077643,43150073,43289849,43291712,43344415,43411733,43467240,43515893,43565848,43570539,43723349,44066549,44130800,44185913,44236949,44350140,44491049,44524793,44633226,44817619,45147970,45153124,45252568,45374453,45399666,45564878,45625890,45815849,45929333,45977849,46041855,46058549,46060971,46171193,46179988,46267433,46327795,46365056,46443816,46506773,46538549,46695832,46728533,46838619,47163789,47167349,47198453,47306816,47811278,47815082,47896792,48131753,48139483,48311849,48667616,48700766,48703176,48856408,48900645,49011579,49093493,49111312,49253125,49267349,49310633,49368233,49461415,49546354,49647150,49650139,49668533,49685575,49739513,49747746,49838549,50025278,50207410,50294946,50493353,50834453,50875049,50909139,50937748,51103733,51231090,51275428,51490072,51495843,51697913,51729112,51765571,51931049,52013298,52062446,52123349,52160688,52206878,52231443,52249293,52288553,52477493,52532811,52627349,52689449,52726613,52783166,52813049,52923352,52926878,52951155,52956960,53203193,53220168,53359349,53454773,53537849,53663170,53854613,53883891,54177564,54294583,54369593,54493013,54604373,54646496,54751068,54758933,54791073,54933653,54963459,54987833,55031033,55068952,55191893,55206686,55250226,55435049,55593354,55622393,55694549,55745849,55770878,55920667,56019413,56066755,56168873,56296949,56326313,56481232,56487424,56491349,56493955,56496472,56612846,56663573,56701493,56870549,57047858,57146549,57171278,57209368,57254933,57281849,57415349,57459449,57564473,57702713,57830453,57926331,57973049,58031659,58154153,58195251,58243253,58259299,58339349,58434293,58459155,58535849,58649276,58672915,58680774,58854713,58876949,58891733,58901260,58913849,58965173,59014483,59045033,59103750,59131423,59236949,59306549,59328490,59341049,59353698,59429813,59538771,59576580,59590133,59622690,59834549,59872689,59927849,59928878,59970773,59989049,60037433,60055192,60214313,60248892,60438953,60487733,60567593,60625013,60674467,60761849,60776693,60921173,60963113,61058453,61154549,61169719,61226153,61238549,61304575,61311413,61404533,61408313,61441973,61471349,61474648,61477308,61539490,61570133,61636853,61684793,61760693,61786793,61801013,61837049,61876949,61882133,61929124,61939255,61952571,61959278,62072873,62087849,62109353,62136233,62144213,62158073,62162549,62181113,62183512,62199593,62217653,62234933,62249273,62261813,62268473,62271893,62289449,62294549,62297849,62298773,62299253,62356432,62491627,62762366,62912788,62934339,63044000,63157899,63541386,63548352,63558531,63597536,63599512,64025170,64360539,64395804,64497100,64616078,65244751,65271278,65319855,66079663,66172948,66273578,66386139,66574911,66659608,67280106,67343726,67468948,67562091,67616043,67792746,68307260,68393563,68537368,68770690,69000446,69158979,69253166,69550915,69674512,69735523,69756878,69882446,69956451,70150986,70281442,70407498,70409779,70681512,70924500,70928770,71194188,71346328,71491896,71501726,71547228,71549451,71649124,71723155,72047128,72153555,72240878,72606868,72730766,73429363,73517055,73565490,73582526,73680088,73847388,73945406,74197348,74327106,74524268,74992059,75077272,75187975,75464548,75628531,75652800,75977246,76411924,76472152,76830204,76963792,77097631,77104539,77396520,77479779,77502926,77555779,77563690,77632792,77864728,78383826,78418192,78469856,79347278,79516701,79544906,79551124,79717912,79970839,80264619,80428383,80696320,80705650,81053019,81336088,81496940,81600878,81968712,82524828,82556288,82890099,82902370,83227570,83253278,83461098,83589028,83688446,83784680,83818450,83847676,84336878,84461931,85109400,85114524,85129108,85299806,86031171,86067786,86144338,86389903,86565566,86584266,86622843,86630872,86677810,86982878,87071085,87273124,87336891,87397886,87548248,87597819,87603274,88118606,88220466,88278588,88484650,88753555,88765586,88933646,89034878,89367811,89460476,89682651,90225570,90703015,90783360,91029278,91127486,91169419,91217428,91222915,91503099,91907966,91945731,91980291,92074899,92214801,92391086,92492655,92875824,92966078,93076428,93887695,94257765,94287566,94380878,94464055,94676540,95321347,95531608,95618012,95708068,95748075,96216878,96235611,96240608,96531315,96541147,96835584,96846780,96873891,97118872,97459731,97581800,97705090,97796328,98207043,98371348,98476888,98491779,98658832,98805655,99155032,99213699,99291278,99358450,99482844,99800606,99840868,99873084,...,409300556250646143300167087351316742659647296017922826989822655638846530018517902795157919747235878559699428370859958334777918053924366002845629228727958192180204329573426023546363451608722097600041349254324221960062659460612901316452047142316473828283136483048655944648324793657620422943712205423657221649588911601910072118417701945345776663976581089455066668546540083638652038740045989286683100982848224920360824546726189608553242782409139933779111858404740687893467906798349897316589411260762679334281463587599634343622539446154088067074918088227020011628223312797531388285803762087340388952290091213170059257361045262364504000164747895070053323456842465329710372036743729518935854159073502249475370520376707482833922218080730883539197142961466553659439475968159769606101577397699877946373555809578246904588413230020640007320591787630004889753904890868091480617225167321807656473873059729052399317191677568010526531886077918549412465702685540208382804372916096755202026174131322370408151440674050120158584303464292988529643873990396680870615702688517105657690406544062486830831451981661299323640091073193660271418969478519551055036001338703543244711031548683111085179455130252827342065930964032706443707103864955290490962465347300431221640146554119692490614350871339053916049629717189708620827711172604905488265169796664577466078231803289885256942422085345580615420185517404580710455508049688708342436767104565657145383305721372472406684787574279440607277827246444629481125148813946421219460806873632554544562736521536878222193174731398604380081518880157602457297356829263380592890072605263483191396008693843111627558634252586223223711384716396303533446247994528122872086648164845485606794249575364013800171922393747176132778169438715012045340018702336034036530789551703738339094213617510505252903243096383494541372244807599366283660638375068080023836164690733639326313954658857064182290488248335922691750790630224866688597289462473875116872831171975068895335185433276579192472016898280060026385000485579762924091304130767828168598286201015138525454319369949949531078797739896723634740256568264787150235939042034130925089398063178446532593655545140210198985070629949800620452206521604153199320089547821712989482173707903572521006936771571140364824923373359402496062243129361857507323467454634086390818297956606363115720301792574205257888210554350124052565415581995532635053484455470901637367589486573899995324254705087074545866517942787766856592270200738809244335868379020510302935206315653834696946453394809}
15787  8772778427786066942556025533092972108996283786781972291956721848: {15787,520509,772877,804117,1087509,1104110,1324932,1434797,1577300,1892760,2018944,2049710,2096213,2129355,2218917,2271312,2428118,2459652,2501229,2555226,2663609,2994590,3383885,3417533,3468740,3593508,3751118,4060662,4162488,4507646,4517093,4682799,4736837,4751949,4882190,5176157,5312469,5358740,5685389,5834717,5858628,6180664,6394094,6405773,6430488,6430917,6452990,6766910,6953247,7234299,7394510,7441709,7569497,7628324,7743588,8074685,8120292,8277675,8294453,8335310,8385689,8672189,8793629,8829520,8873412,9033038,9134420,9269093,9417902,9609197,9689622,9854375,9896057,9933210,10002372,10173854,10350998,10595424,10648757,10870149,10871885,10961304,11058893,11085053,11217629,11474008,11496437,11825250,11919852,11956973,11971317,12251333,12331467,12392597,12613600,12729485,12809918,12904340,12908259,13046262,13383677,14118905,14138573,14190300,14191166,14350133,14436309,14709117,14787140,14881526,15001637,15136320,15212510,15218693,15275382,15366975,15485208,15505085,15518654,15835790,15937988,16145408,16261718,16305604,16391440,16519853,16586798,16651862,16729493,16769246,16942686,17028360,17081390,17342174,17348285,17420859,17695749,17703710,17744568,18163584,18203955,18205844,18255012,18440370,18505749,18606102,18726905,18784733,18900077,18942532,19002948,19156905,19417552,19548053,19669728,19789598,19962639,20434032,20497668,20500190,20817942,20983469,20987822,21017405,21244452,21430910,21488957,21671375,21704333,21740990,21792797,21844746,21861653,21923438,22128444,22432406,22472286,22988286,22995413,23006009,23293720,23475158,23599790,23856069,24600228,24928253,25220886,25371268,25444317,25571405,25717092,25833197,26000093,26005650,26089188,26205435,26452814,26513189,26640029,26974013,27000110,27030115,27060760,27432917,27739360,27925790,27952464,28319748,28378724,28696598,28881653,29019833,29207213,29380917,29641629,29999438,30064973,30270292,30443355,30682317,30685686,30698510,30699557,30941949,31006190,31033364,31120024,31206780,31437785,31446522,31719549,31838813,32334905,32400132,32436138,32472912,32602094,32607064,32850590,33082709,33230585,33251477,33287232,33299492,33510948,33535940,33773237,33882797,33888197,34953077,35010027,35086649,35165572,35463485,35490629,35510486,35611790,35920589,36122968,36290462,36430037,36532026,36682947,36838212,36880118,37066948,37100909,37108317,37142990,37207428,37448136,37725342,37741733,37880248,38033835,38120117,38614450,38692589,38801886,38878157,38933246,39092729,39420708,39595997,39640917,39876702,39902285,40093973,40243128,40569424,40638339,40858853,40995140,41136509,41152046,41188733,41226905,41276189,41393464,41724590,41901789,41909693,41970308,42129153,42401829,42556182,42584164,42615279,42734148,42749357,42856340,42935992,42972398,43070213,43150269,43225253,43246997,43670175,43717718,43856510,44054393,44217389,44224324,44571588,44889069,44951693,45053813,45082349,45083126,45262973,45273519,45278375,45631029,45640602,45806333,46307933,46337340,46567647,46574420,46581520,46863309,47073689,47444654,47468824,47502110,47815684,47882742,48113357,48185333,48229709,48302991,48378975,48411710,48671885,49191269,49194168,49373115,49421078,49426496,49434413,49464182,49466489,49472286,49501973,49974905,50058197,50069508,50527749,50732475,50736088,50745413,51012669,51226648,51427608,51571673,51604240,51682958,51907733,52042910,52139405,52207935,52221189,52404210,52548293,52627812,52664656,52871213,53032109,53273246,53402427,53424309,53433785,53753477,53790317,53800478,54114640,54334050,54410573,54457310,54561878,54797429,55023544,55163500,55343439,55437675,55604808,55633517,55647844,55649573,55688464,55804697,55810133,55889304,55894109,55897824,56356877,56385533,56441405,56565710,56595929,56974718,56992022,57002532,57078099,57232373,57340118,57629979,57724985,57856059,57956320,58054770,58094052,58149293,58327157,58369790,58406262,58480313,58488149,58866389,58889109,59133520,59224253,59247738,59358909,59377406,59510968,59630717,59862422,59870990,59969886,59970197,60501113,60532888,60592409,60834520,60878970,60965198,61070510,61389140,61414628,61531373,61728797,61846323,61901487,61907933,61925088,61930637,62236073,62428037,62451492,62555409,62567286,62649522,62875467,62885052,62910809,62960189,63041237,63080153,63548229,63672185,64094285,64120542,64362590,64470077,64661390,64872029,64937568,65200860,65263637,65348772,65479766,65692613,66060389,66154190,66156926,66196200,66330328,66333893,66401822,66451229,66525210,66913133,66949839,67028333,67059928,67343318,67537838,67721955,67729686,67878852,67928693,67937549,68099499,68131637,68308120,68343053,68347317,68438835,68615918,68661124,68836190,69036566,69269982,69273989,69351064,69547584,69591197,69641924,69665724,69753173,70043748,70601540,70609280,70620590,70960224,71031353,71098133,71169077,71316437,71511710,71716917,71722623,71845188,72088733,72236752,72761006,72939989,72956537,73001424,73051149,73054764,73284612,73311595,73626575,73666968,73862654,74124472,74319531,74442293,74470725,74621619,74679449,75037917,75068990,75311115,75402893,75442419,75705293,75740213,75802013,76293206,76406622,76529477,76604717,76631789,76843310,76846635,76913142,77008613,77235108,77375246,77411405,77593668,77729390,77945540,77989109,78019947,78093669,78241032,78310317,78446366,78640985,78805000,79125854,79138264,79174749,79200509,79360697,79385028,79390317,79435440,79496920,79499390,79575542,79663166,79709789,79794053,79830252,80139449,80331856,80494755,80621375,80642966,80873054,81077669,81266346,81328133,81343502,81364574,81903173,81969744,82126602,82603428,82716185,82787813,82810029,82875339,83324510,83350889,83390031,83571629,83590157,83656317,83855453,83912452,84210532,84336185,84721848,84731136,84744708,84919269,84979013,85384075,85571787,85671710,85756917,85814052,85861072,86008313,86167277,86326478,86760653,86875253,86955734,87093140,87973914,88021161,88084622,88291229,88351890,88514852,88582478,88655625,88766548,88944293,88992735,89030547,89182910,89364870,89434035,89523077,89561405,89706808,89746646,89790989,89893317,90058910,90082788,90095894,90154724,90184013,90373338,90390328,90758585,91770809,91832419,91940837,92078357,92100110,92211972,92215962,92309235,92476793,92746685,92893686,92928797,92938917,93061373,93155335,93275268,93534648,93806606,93846590,93876664,94143549,94242016,94330685,94369182,94438718,94566000,94819613,94925584,95018813,95312079,95322528,95396304,95399268,95514905,95590190,95687126,95777726,96037755,96204740,96287357,96358094,96468053,96567869,96576053,96593706,96745650,96781997,96924117,97040990,97117694,97330910,97355237,97540589,97906917,98022740,98087320,98463184,98695958,98910917,98920334,99102808,99164213,99259422,99410367,99438905,99647390,99857069,99989412,...,545734075000861524400222783135088990212863061357230435986430207518462040024690537060210559662981171412932571161146611113037224071899154670460838971637277589573605772764568031395151268811629463466721799005765629280083545947483868421936062856421965104377515310731541259531099724876827230591616273898209628866118548802546762824556935927127702218635441452606755558062053444851536051653394652382244134643797633227147766062301586144737657043212186578372149144539654250524623875731133196422119215014350239112375284783466179124830052594872117422766557450969360015504297750396708517714405016116453851936386788284226745676481393683152672000219663860093404431275789953772947162715658306025247805545431336332633827360502276643778562957440974511385596190615288738212585967957546359474802103196933170595164741079437662539451217640027520009760789050173339853005206521157455307489633556429076875298497412972069865756255570090680702042514770558065883287603580720277843739163888129006936034898841763160544201920898733493544779071285723984706191831987195574494154270251356140876920542058749982441108602642215065764853454764258213695225292638026068073381335118271390992948042064910814780239273507003769789421241285376941924942805153273720654616620463067241628853528738826256654152467828452071888066172956252944827770281563473207317686893062219436621437642404386513675923229447127440820560247356539440947274010732918277789915689472754209527177740961829963208913050099039254143037102995259505974833531751928561625947742498176739392750315362049170962924232975198139173442025173543469943063142439017840790520096807017977588528011591790815503411512336781630964948512955195071377928330659370830496115530886460647475725666100485351733562563191662901510370892584953349393786691603114712048707719402271651118792284823347340337204324128511326055162993076799155044880851166757440031781552920978185768418606211809418909720650997781230255667720840299822251463052616631833489163774895966758527113580577702105589962689197706746701846667314106350565455072174357104224797714934686851367272425826599932708105063653195631512987008757686382866981252056045507900119197417571262043458207393520280265313427506599734160602942028805537599093452730428950652642898277204763361342582362094853819766564497812536661416324172482476676431289939512115187757730608808484154293735723432273677184280739133498736753887442660710180071312607294535516490119315431866660432339606782766061155357257050355808789693600985078992447824505360680403913608420871779595928604526412}
15788  8811429851188340517558936862864715624942833485411465085255969917: {410098,599146,694012,959347,1072156,1165426,1450012,1479466,1656165,1667698,1709011,1766576,1855786,1971625,1987398,1988947,2175211,2365950,2523680,2824867,2839140,2958556,3028416,3074565,3230698,3279536,3334972,3355306,3406968,3563011,3642177,3689478,3832839,4287826,4296547,4335925,4349866,4491885,4791344,4907506,5203110,5206987,5216746,5388211,5390262,5408081,5414216,5549984,5587306,5626677,6090993,6110227,6243732,6335932,6698425,6738211,6761469,7006267,7063786,7083292,7323285,7629211,7725830,7811504,8038110,8336827,8573984,8574556,8688907,8787942,9078898,9127387,9270996,9535405,9591141,9645732,9679485,9686098,10039757,10150365,10324784,10714666,10827056,10949347,11036900,11076586,11091765,11378467,11418025,11442486,11498098,11615382,11831216,12180438,12502965,12578386,12824011,12919496,13244280,13310118,13336496,13549557,13664611,13701630,13915387,14010706,14126853,14127232,14307946,14331907,14342510,14493532,14534433,14615072,14663827,14664106,14899815,14901226,14912011,15003558,15077107,15256426,15260781,15488587,15526497,15551986,15767000,15893136,15961756,15965098,16130425,16441956,16990358,17211012,17316946,17395016,17737875,17843626,17879778,17919667,17999587,18018898,18194026,18483925,18602098,18920400,19189747,19214877,19248412,19356510,19569393,19589866,19612156,19896067,19922485,20130211,20181760,20367176,20382005,20489300,20646944,20751427,21285450,21286749,21379186,22067698,22180710,22284307,22322289,22590248,22704480,22757305,22818765,22913073,23096146,23210098,23227812,23277981,23594332,23659424,23678165,23753685,23906982,24218112,24271940,24340016,24392577,24458406,24587160,24674332,24677011,24798706,24808136,24880197,24897547,24977793,25044211,25081066,25153869,25337264,25414029,25542540,25588306,25622085,25757098,25990507,26013261,26226304,26555565,26616852,26990506,27230021,27245376,27308766,27325546,27330224,27382518,27564211,27660555,27757256,27909153,27917011,28325936,28413798,28504422,28531181,29117150,29126328,29447947,29504592,29684397,29963048,30095146,30132307,30471787,30479698,30644266,30651048,30746502,30750285,30918226,31145347,31226913,31301098,31464946,31481733,31546027,31607597,31714085,31808092,31811707,31866678,31877947,31955626,32010211,32146365,32390698,32395693,32611485,32767119,32770546,32800304,32885157,33095506,33145217,33192666,33446107,33627848,33639211,33648609,33708429,33743698,33825950,33925756,34289456,34468507,34482429,34600553,34674200,34785584,34818898,34940580,35212737,35223211,35399685,35473405,35498246,35621098,35781106,35994226,36219281,36313426,36900342,37214698,37269952,37568993,37584466,37759664,37831329,37837865,37848106,38056902,38575638,38791705,38841211,38900030,39008475,39015307,39133782,39174556,39421546,39522172,39679221,39989611,40159387,40254826,40500165,40591140,40758830,40909756,40914248,40943107,41219587,41255932,41290666,41494267,41535221,41609040,41624365,41806186,41888685,41919925,41928696,42292732,42422698,42479622,42568086,42678898,42999211,43044897,43104547,43200176,43248184,43297216,43418827,43953898,43956965,44142067,44382976,44394077,44650027,44681264,44823317,44865706,44999157,45051211,45153710,45405438,45621586,45722098,45937027,46028529,46047765,46073386,46081574,46323826,46333685,46509285,46550046,46680036,46810170,46893907,47169783,47350310,47592667,47867626,47913211,48004147,48145601,48600198,48654207,48676987,48709368,48727406,48903141,48910596,49116547,49117616,49199698,49275885,49376827,49477756,49609904,49787986,49930848,49949238,50032426,50081266,50266422,50300456,50303910,50711780,50909098,51126211,51243925,51405427,51720211,51735848,51741830,51837067,52072097,52118098,52262506,52298011,52462885,52560944,52748358,52748587,52854556,52933267,52934506,52966277,53078098,53168936,53230205,53265729,53417685,53570425,53653987,53657504,53669990,53689267,53934211,54184452,54278011,54379747,54435693,54514387,54648106,54798039,54837226,55073266,55221133,55257318,55280405,55320177,55600422,55714485,55778986,55811142,55825906,55869052,56172204,56189611,56248867,56535772,56588013,56621098,56684107,56741576,56820372,56978864,57226066,57266227,57453211,57458026,57533692,57714211,57842011,57921675,58017907,58039037,58092211,58165867,58202829,58218025,58226900,58263067,58335826,58399869,58554782,58677437,58703698,58754467,58977307,59064427,59131062,59336030,59428784,59700547,59769605,59815053,59852092,59983507,60074227,60232987,60284611,60364692,60500827,60658867,60682181,60735187,60794947,60839011,60841372,60854136,61076467,61177493,61422211,61430098,61455907,61492710,61563547,61614667,61634611,61728069,61744426,61775011,61783120,61843267,61986907,62039611,62081947,62090196,62126011,62141347,62236786,62240707,62272387,62277211,62484412,62499569,62586885,62955462,63207158,63420110,63834273,63843656,63876246,64010866,64033310,64101222,64284510,64403988,64458597,64505300,64858913,65281066,65542186,65576577,65592224,65784765,65830820,65846098,65932786,65963048,66088061,66336486,66759344,66857382,67370332,67624689,67643300,67653106,67684837,68016892,68460903,68570144,68757586,68779430,68954375,69245981,69506010,69559805,69610580,69628252,69744389,69809386,69861630,69872280,70170416,70185586,70290374,70310698,70394026,70518898,71166981,71203236,71232412,71253165,71677426,71723526,71759698,71824113,72251986,72445400,72617565,72782698,73107946,73391698,73791252,73853741,73916900,74131617,74139744,74196273,74208429,74318506,74388710,74478826,74519072,74530432,74678866,75104262,75128438,75666110,75870706,75989098,76003376,76043150,76104132,76736425,76768285,76839972,77107433,77141412,77165098,77315881,77406360,77458736,77524437,77875016,78064365,78326698,78442066,78493457,78518812,78606315,78941718,78996984,79091537,79145212,79909869,79928746,79959848,80606698,80700717,80719186,80868946,81171960,81501075,81650986,81685965,81842817,82142081,82389226,82414709,82461764,82535316,82536106,82566784,82646098,82745250,82912910,82938706,83059886,83211557,83268656,83407212,83423048,83471766,83532696,83738098,83824910,83833956,83846736,84350506,84458098,84730972,84848565,85242706,85309213,85349098,85385150,85462077,85488033,85494056,85503798,85826405,86010177,86155286,86300146,86579698,86583424,86688830,86714957,86823466,86934480,87031786,87052405,87082155,87131696,87141078,87446698,87554685,87609393,88133098,88251925,88261600,88371826,88473898,88700280,88871607,88982098,89049586,89066109,89266452,89379173,89635238,89793633,89806485,89954829,90295940,90306248,90505136,90748906,90799332,91129756,91251780,91318455,91447797,91538689,91605765,91631698,91858666,91955698,92083710,92117098,92121942,92342386,92359976,92534866,92655590,92730112,92887632,93013546,93077098,93391664,93457066,93677238,93850929,93974283,94327578,94334698,94396906,94613632,95622556,95630164,95793584,96180813,96263506,96278966,96543885,96553421,96623698,96992085,97335232,97371281,97401532,97406352,97431925,97712816,97801290,98023158,98186986,98219649,98222624,98506250,98534698,98621266,98736466,98922830,99092708,99231285,99235389,99294300,99300278,99337066,99371150,99479026,99495492,99602733,99677098,99787815,...,818601112501292286600334174702633485319294592035845653979645311277693060037035805590315839494471757119398856741719916669555836107848732005691258457455916384360408659146852047092726903217444195200082698508648443920125318921225802632904094284632947656566272966097311889296649587315240845887424410847314443299177823203820144236835403890691553327953162178910133337093080167277304077480091978573366201965696449840721649093452379217106485564818279867558223716809481375786935813596699794633178822521525358668562927175199268687245078892308176134149836176454040023256446625595062776571607524174680777904580182426340118514722090524729008000329495790140106646913684930659420744073487459037871708318147004498950741040753414965667844436161461767078394285922933107318878951936319539212203154795399755892747111619156493809176826460041280014641183575260009779507809781736182961234450334643615312947746119458104798634383355136021053063772155837098824931405371080416765608745832193510404052348262644740816302881348100240317168606928585977059287747980793361741231405377034211315380813088124973661662903963322598647280182146387320542837938957039102110072002677407086489422063097366222170358910260505654684131861928065412887414207729910580981924930694600862443280293108239384981228701742678107832099259434379417241655422345209810976530339593329154932156463606579770513884844170691161230840371034809161420911016099377416684873534209131314290766611442744944813369575148558881214555654492889258962250297627892842438921613747265109089125473043073756444386349462797208760163037760315204914594713658526761185780145210526966382792017387686223255117268505172446447422769432792607066892495989056245744173296329690971213588499150728027600343844787494352265556338877430024090680037404672068073061579103407476678188427235021010505806486192766989082744489615198732567321276750136160047672329381467278652627909317714128364580976496671845383501581260449733377194578924947750233745662343950137790670370866553158384944033796560120052770000971159525848182608261535656337196572402030277050908638739899899062157595479793447269480513136529574300471878084068261850178796126356893065187311090280420397970141259899601240904413043208306398640179095643425978964347415807145042013873543142280729649846746718804992124486258723715014646934909268172781636595913212726231440603585148410515776421108700248105130831163991065270106968910941803274735178973147799990648509410174149091733035885575533713184540401477618488671736758041020605870412631307669393892906789618}
15789  8850250230438475853666064979800355255289466073904372752612080518: {31574,615147,867515,898719,1041018,1340195,1545754,1608234,1748139,1812515,1907807,2175018,2208220,2219199,2501547,2649864,2783679,2869594,2947307,2981097,3154600,3548925,3698195,3785520,4037888,4099420,4168715,4192426,4258710,4437834,4542624,4737439,4846047,4856236,4919304,5002458,5023931,5032959,5110452,5327218,5534217,5989180,6157859,6431739,6524799,6767770,6835066,6937480,7097387,7187016,7361259,7502236,7570459,7804665,7825119,7919915,8085393,8121324,8132927,8324976,8380959,8794747,8854115,9015292,9034186,9270271,9365598,9473674,9503898,9764380,10352314,10496579,10595679,10624938,10717480,10718195,10964507,11060299,11304559,11370778,11588745,11669434,11717256,12057165,12361328,12788188,12811546,12848959,12860976,12861834,12905980,13181913,13229771,13533820,13618347,13796125,13906494,14468598,14529147,14789020,14883418,15113647,15138994,15220639,15256648,15487176,16071999,16149370,16240584,16555350,16588906,16614879,16670620,16771378,17163729,17247147,17344378,17423073,17587258,17659040,17746824,17821279,18066076,18116915,18268840,18270657,18444767,18538186,18835804,18867579,19218394,19379244,19708750,19766467,19771219,19792114,19866420,19952195,19965177,20004744,20347708,20552445,20701996,21016059,21190848,21297514,21461919,21513765,21707119,21740298,21743770,21922608,21996159,22117786,22170106,22200139,22351839,22435258,22505337,22547327,22884639,22948016,22992874,23327979,23570987,23650500,23728379,23839704,23913946,23942634,23947647,24060515,24287599,24502666,24515195,24662934,24785194,25227200,25458970,25485537,25611625,25615931,25619836,25808680,25816518,25836499,25975419,26092524,26217667,26765439,26767354,26819667,26907107,27028347,27291039,27903147,28237810,28277146,28380600,28382332,28700266,28872618,29034765,29384799,29418234,29424367,29492915,29574280,29763052,29938847,30003274,30272640,30339925,30425020,30437386,30550764,30660319,30733950,30842915,30970416,31010170,31037308,31671580,31875976,31878379,31928175,32068779,32290816,32433931,32523436,32611208,32782880,33039706,33101547,33173596,33271065,33303724,33458986,33538492,33764027,33885372,34056720,34162780,34644219,34684348,34696570,34815147,34832507,34841718,35391498,35407420,35489136,35799967,35860473,36327168,36407910,36411688,36510024,36687609,36880740,37011498,37198059,37212204,37453810,37569466,37621599,37746559,37800154,37842161,37885064,38005896,38313810,38382459,38397871,38635647,38830847,38835104,39096106,39097747,39339456,39579196,39760115,39925278,40446851,40485759,40868064,40963149,40988319,40995336,41000380,41073777,41635884,41966938,41975644,42034810,42348979,42407195,42488904,42620697,42756633,42861820,42870047,42977914,43342750,43408666,43481980,43488959,43585594,43675725,43689492,43723306,43846876,44012899,44053547,44256888,44810911,44864812,44944572,45142719,45171199,45268867,45719547,45966399,45976572,45990826,46012018,46119753,46377339,46522819,46587440,46950316,46951647,47092627,47197419,47199580,47712138,47800017,47901227,47933439,48334879,48586047,48968195,49155819,49200456,49246979,49402715,49643259,49648879,49788999,49856506,50441772,50591507,50615547,50738925,50742536,50888634,51137195,51142810,51275219,51434184,51569915,51666394,52000186,52011300,52178376,52228347,52294127,52410870,52865915,52877971,52905628,52912607,53026378,53220799,53247369,53280058,53431647,53671659,53912507,53948026,53991339,54000220,54060230,54121520,54470139,54550751,54865834,55350513,55478720,55822047,55851580,55863199,55904928,56376699,56639496,56757448,56772159,56998747,57085353,57393196,57717667,57763306,57863457,58039666,58296907,58350045,58414426,58700673,58761834,59132319,59283258,59374571,59638339,59998876,60129946,60382239,60540584,60886710,61138245,61364634,61371372,61397020,61399114,61847195,61883898,61935999,62012380,62066728,62240048,62376031,62413560,62709279,62875570,62893044,63088219,63389725,63439098,63634047,63677626,63719433,63852129,64006507,64018347,64669810,64794227,64800264,64872276,64945824,65204188,65214128,65271979,65701180,65930847,66068195,66165418,66461170,66502954,66574464,66598984,67021896,67071880,67298559,67302271,67546474,67618891,67638259,67730565,67765594,67776394,67827947,68108157,68140639,68432379,68583147,68617067,69110079,69122361,69282847,69485739,69825069,69836315,69906154,69964867,69992299,70020054,70173298,70215255,70331144,70543139,70669715,70789631,70926970,70981258,71020972,71025465,71223580,71801439,71841178,71917115,72245936,72580924,72783625,72860074,72900297,72995167,73056367,73064052,73091109,73365894,73676424,73760236,73799547,73806899,74133896,74201818,74216634,74247827,74285980,74414856,74681979,74807299,74815115,74896272,74923857,75048639,75121899,75399633,75412531,75450684,75455865,75483466,75709931,75760496,75930067,76051715,76067670,76240234,76363647,76539259,76623359,77228900,77385178,77603772,77612745,77756314,77866492,78105515,78177147,78185458,78393759,78841416,78876527,79017967,79122537,79191994,79281834,79401759,79617147,79753404,79804570,80187946,80486256,80504985,80610431,80631625,80814979,80880971,81138848,81276678,81539659,81717706,81742307,81972159,81990280,82130891,82255839,82273018,82288525,82304092,82377466,82453810,82552378,82565087,82609899,82786928,82798399,82885977,83005619,83361547,83400633,83449180,83668479,83716713,83738859,83803578,83819386,83940616,84212915,84258306,84554125,84803658,84931647,85021115,85112364,85168328,85230558,85295359,85351919,85468296,85491131,85498714,85712680,85839099,85871984,85944796,86140426,86187039,86236691,86300538,86450506,86493994,87013225,87035315,87162787,87340350,87435436,87503739,87713020,87832173,88055547,88108786,88434778,88448648,88632059,88696593,89004045,89040515,89141059,89143176,89731999,89778138,89903386,90107626,90164698,90166252,90525946,90547038,90556750,91010179,91262058,91281204,91612666,92145147,92168947,92239065,92396125,92615866,92616639,92674680,93133211,93135294,93148840,93163040,93283039,93355179,93726618,94065539,94147378,94433193,94810737,94889308,94937648,95004220,95130165,95631368,95765484,95814369,95879939,95983471,96016299,96049965,96151833,96226714,96370666,96426765,96459418,96605982,96757950,96794659,96823420,97095871,97343770,97921599,98148515,98313279,98382538,98388336,98746230,98759651,98769147,98842156,98852992,98868826,98899179,98928364,98931515,98932978,98944572,99003946,99101899,99504729,99949810,...,1227901668751938429900501262053950227978941888053768480969467966916539590055553708385473759241707635679098285112579875004333754161773098008536887686183874576540612988720278070639090354826166292800124047762972665880187978381838703949356141426949421484849409449145967833944974380972861268831136616270971664948766734805730216355253105836037329991929743268365200005639620250915956116220137967860049302948544674761082473640178568825659728347227419801337335575214222063680403720395049691949768233782288038002844390762798903030867618338462264201224754264681060034884669938392594164857411286262021166856870273639510177772083135787093512000494243685210159970370527395989131116110231188556807562477220506748426111561130122448501766654242192650617591428884399660978318427904479308818304732193099633839120667428734740713765239690061920021961775362890014669261714672604274441851675501965422969421619179187157197951575032704031579595658233755648237397108056620625148413118748290265606078522393967111224454322022150360475752910392878965588931621971190042611847108065551316973071219632187460492494355944983897970920273219580980814256908435558653165108004016110629734133094646049333255538365390758482026197792892098119331121311594865871472887396041901293664920439662359077471843052614017161748148889151569125862483133517814716464795509389993732398234695409869655770827266256036741846260556552213742131366524149066125027310301313696971436149917164117417220054362722838321821833481739333888443375446441839263658382420620897663633688209564610634666579524194195813140244556640472807371892070487790141778670217815790449574188026081529334882675902757758669671134154149188910600338743983584368616259944494536456820382748726092041400515767181241528398334508316145036136020056107008102109592368655111215017282640852531515758709729289150483624116734422798098850981915125204240071508494072200917978941863976571192546871464745007768075252371890674600065791868387421625350618493515925206686005556299829737577416050694840180079155001456739288772273912392303484505794858603045415576362958109849848593236393219690170904220769704794361450707817126102392775268194189535339597780966635420630596955211889849401861356619564812459597960268643465138968446521123710717563020810314713421094474770120078207488186729388085572521970402363902259172454893869819089347160905377722615773664631663050372157696246745986597905160453366412704912102768459721699985972764115261223637599553828363300569776810602216427733007605137061530908805618946961504090839360184427}
15790  8889240298287852866470116883672522922695436643045664630261000757: {47361,268141,362641,457069,645709,820196,834061,928129,1198292,1388024,1561527,1678081,1918694,2144312,2318631,2330509,2330852,2412351,2760275,2900024,2958932,3262527,3312330,3335396,3418022,3533152,3711572,3716689,3943250,3974796,3977894,4083601,4304391,4350422,4540621,4731900,4904941,5047360,5124275,5358721,5649734,5678280,5917112,5990989,6056832,6070295,6149130,6288639,6388065,6461396,6559072,6619729,6656751,6669944,6710612,6813936,7066669,7126022,7284354,7378956,7486475,7503687,7511809,7665678,7689361,7955149,7990827,8484781,8572801,8575652,8593094,8671850,8699732,8983770,9361741,9377795,9582688,9710509,9815012,9884461,9971329,10151655,10252599,10318081,10406220,10413974,10433492,10776422,10780524,10816162,10828432,11099968,11174612,11253354,11269115,11608141,12181986,12205475,12220454,12289549,12487464,12543889,12671864,13349567,13396850,13476422,13522938,13551279,13554769,14012534,14048397,14056321,14127572,14166584,14210511,14255847,14472301,14646570,15051649,15216529,15258422,15451660,15463309,15528471,15623008,15937407,15985235,16036609,16076220,16132475,16673654,16849489,16917275,17011201,17056167,17147968,17149112,17377814,17504151,17575884,17895469,18157796,18254774,18486275,18541992,18850189,19070810,19182282,19217319,19291464,19292751,19358970,19372196,19716241,20079514,20300730,20649568,20838275,20859741,21268561,21429332,21654112,21702897,21898694,22073800,22153172,22183530,22325127,22489681,22582595,22708491,22756934,22836050,22867501,22884972,22996196,23168461,23230764,23544755,23662432,24064429,24224055,24360781,24360876,24833025,24883359,25005930,25156772,25157067,25434635,25461841,25648022,25838992,25877495,26016567,26114701,26258989,26380887,26474881,26488560,26546701,26620236,26672992,26761729,26976109,27099114,27329222,27403260,27807279,27830774,27891479,27897601,28021412,28038289,28253706,28254464,28388749,28528429,28534807,28615892,28663814,28685020,28737409,28827591,28876369,28987064,29068866,29222509,29230144,29327654,29328212,29563125,29688171,29799630,29802452,29824022,30007116,30045901,30154214,30318061,30512852,30521562,30656641,30977174,31052994,31103972,31395181,31461889,31534000,31786272,31860227,31923512,31930196,31946271,32024795,32059021,32260850,32388241,32610447,32615655,32780929,32883912,32976301,33149431,33176679,33255159,33558529,33652887,33751309,33980716,34422024,34489311,34633892,34790032,34957201,35207761,35475750,35477915,35687252,35759556,35767309,35839334,35870919,35890861,35913951,35999174,36037796,36206951,36259789,36388052,36747661,36753999,36967850,36994401,37170769,37177791,37203815,37204196,37351021,37840800,38031275,38065549,38188455,38285819,38360209,38379494,38429754,38496824,38713020,38724777,38796635,39138786,39179732,39224312,39520849,39589475,39692461,39792134,39844970,40151031,40260422,40363520,40484749,40654295,40734352,40764010,40764289,40978600,41207809,41293888,41466995,41502854,41629655,41923115,42026989,42242701,42356715,42415719,42570900,42573498,42670669,42703475,42723841,42758372,43050399,43251601,43308927,43355435,43356289,43823821,44127351,44135396,44259275,44361420,44399719,44488849,44539501,44568614,44644578,44892049,45004911,45180496,45389569,45408960,45514610,45586561,45637530,45656079,45733549,45826146,45977089,46074001,46100925,46192292,46218829,46420196,46455624,46515255,46554241,46555962,47074189,47167789,47188664,47214481,47261101,47318848,47356330,47507370,47723341,47813964,47860609,48178381,48358381,48436224,48543880,48680032,48759169,48785154,48916812,48979309,49174320,49197649,49348664,49354022,49473995,49559559,49597412,49616272,49662767,49760394,49795094,49955586,50053009,50088422,50095021,50162132,50188479,50262349,50307738,50674528,50828058,50920141,51085080,51121921,51176612,51244170,51250475,51514196,51949741,51981014,52026522,52044855,52142161,52256749,52262577,52332781,52452608,52469555,52671361,52856941,52973011,53087247,53111130,53233704,53545729,53577275,53581261,53616721,53981012,54002029,54242689,54308387,54352475,54412429,54460042,54490752,54513409,54611865,54617532,54651092,54660448,54765036,54808595,55008589,55128422,55228151,55234129,55321110,55393069,55514512,55517247,55612561,55767181,55818306,55834022,56081015,56101009,56180715,56354199,56484301,56599789,56651872,56685649,56700231,56742529,56827596,57008844,57062362,57241489,57295489,57322381,57470715,57561169,57870481,58144909,58193869,58218241,58234300,58252656,58274111,58362961,58505089,58644159,58687895,58690561,58895894,58915921,58999475,59009184,59029487,59112589,59155501,59368794,59468161,59647981,59687149,59783809,59821969,59840941,59859841,59878669,59887917,59926096,59953261,59971729,60190292,60240109,60264614,60524689,60556801,60572749,60604429,60788461,60943574,60959396,61045069,61085569,61112209,61190401,61253581,61288532,61302096,61454929,61477249,61493004,61499281,61500570,61539751,61605121,61713229,61731949,61741201,61836452,61838221,61911121,61918861,62174209,62188141,62209921,62218129,62267521,62281741,62290694,62294161,62328109,62329261,62330881,62453826,62602196,62929892,62950407,62963466,63052215,63092054,63215194,63428170,63616184,63623414,63733356,63755894,63911252,64020422,64292730,64466871,64781396,64791386,64867159,65014125,65112999,65222970,65261339,65378391,65534238,65541092,65584959,65600608,65770314,66132035,66191012,66290434,66385332,66892214,67255696,67278422,67297218,67416858,67487396,67500275,67651900,67693439,67851512,68578912,68937014,68964858,68986239,69018027,69201106,69348400,69571168,69637796,69814475,69881160,70425474,70427687,70446422,70799370,70946810,70996492,71242196,71562212,71568207,71741495,71988452,72438562,72626852,73448039,73800684,73863127,74429396,74522287,74539904,74784759,74998595,75137986,75168932,75519328,75647759,75662658,75675730,75696212,76113804,76332951,76714215,76746275,77151276,77325707,77392567,77499591,77515475,77583410,77682422,77800060,78000279,78016950,78021647,78030614,78267564,78349112,78616305,78843092,79044344,79358442,79539567,79920087,79979222,79991171,80318774,80509652,80922039,81000330,81090345,81182280,81505235,81517660,81819512,81828496,81886214,82126475,82298751,82425187,82439174,82511864,82581332,82988534,83070442,83218080,83248730,83612372,83677447,83777370,83839850,83857392,84585464,84845396,84959244,85136172,85320059,85357796,85998422,86089794,86209094,86400352,86411867,86496368,86594432,86644959,86837654,87059499,87621639,87907796,87913930,88142751,88284134,88765952,88776215,88788154,88924887,89029475,89300054,89362528,89646634,89731412,89998314,90102422,90194919,90307420,90726155,90810876,91192607,91243172,91330065,91444196,91550327,91874054,92046951,92057058,92095530,92098671,92146772,92163148,92200295,92647652,92667370,92825847,92857475,93018570,93100092,93360072,93620340,93787814,94313355,94339566,94700620,95158647,95185334,95345591,95516439,95735252,95826422,96008294,96291202,96536125,97004715,97200396,97308414,97333115,97353974,97383727,97418736,97454812,97806282,97821192,98233094,98235232,98340931,98399396,98551770,98753654,98955512,99219808,99248127,99575972,99691755,99754431,99861696,99898476,...,1637202225002584573200668349405266970638589184071691307959290622555386120074071611180631678988943514238797713483439833339111672215697464011382516914911832768720817318293704094185453806434888390400165397017296887840250637842451605265808188569265895313132545932194623778593299174630481691774848821694628886598355646407640288473670807781383106655906324357820266674186160334554608154960183957146732403931392899681443298186904758434212971129636559735116447433618962751573871627193399589266357645043050717337125854350398537374490157784616352268299672352908080046512893251190125553143215048349361555809160364852680237029444181049458016000658991580280213293827369861318841488146974918075743416636294008997901482081506829931335688872322923534156788571845866214637757903872639078424406309590799511785494223238312987618353652920082560029282367150520019559015619563472365922468900669287230625895492238916209597268766710272042106127544311674197649862810742160833531217491664387020808104696525289481632605762696200480634337213857171954118575495961586723482462810754068422630761626176249947323325807926645197294560364292774641085675877914078204220144005354814172978844126194732444340717820521011309368263723856130825774828415459821161963849861389201724886560586216478769962457403485356215664198518868758834483310844690419621953060679186658309864312927213159541027769688341382322461680742069618322841822032198754833369747068418262628581533222885489889626739150297117762429111308985778517924500595255785684877843227494530218178250946086147512888772698925594417520326075520630409829189427317053522371560290421053932765584034775372446510234537010344892894845538865585214133784991978112491488346592659381942427176998301456055200687689574988704531112677754860048181360074809344136146123158206814953356376854470042021011612972385533978165488979230397465134642553500272320095344658762934557305255818635428256729161952993343690767003162520899466754389157849895500467491324687900275581340741733106316769888067593120240105540001942319051696365216523071312674393144804060554101817277479799798124315190959586894538961026273059148600943756168136523700357592252713786130374622180560840795940282519799202481808826086416612797280358191286851957928694831614290084027747086284561459299693493437609984248972517447430029293869818536345563273191826425452462881207170296821031552842217400496210261662327982130540213937821883606549470357946295599981297018820348298183466071771151067426369080802955236977343473516082041211740825262615338787785813579236}
15791  8928400790640765974567897917465993399940441303587647232143484992: {15791,63148,1025245,1214521,1230294,1497865,1735030,1797438,1876273,2082036,2254681,2537521,2680390,2878041,2913565,3091508,3216468,3294049,3483181,3496278,3625030,3698665,3815614,4169245,4350036,4416440,4438398,4639465,4968495,5003094,5127033,5177473,5299728,5370409,5567358,5739188,5836201,5894614,5914875,5937373,5962194,5966841,6309200,6525633,6882313,7097850,7098289,7396390,7443601,7571040,8075776,8076745,8133961,8198840,8337430,8384852,8387821,8388265,8474601,8517420,8875668,9085248,9168841,9223695,9474878,9611641,9692094,9712472,9838608,9898573,10004916,10047862,10065918,10220904,10497913,10654436,10689033,10719565,10874665,10926531,10965901,11068434,11087881,11220481,11498517,11499361,11978360,12254449,12268765,12315718,12395761,12565873,12863478,12889641,13007775,13041865,13049598,13231453,13387081,13475655,13535540,13670132,13874960,13968265,14142169,14194774,14374032,14722518,14830561,15004472,15005473,15140918,15609330,15620961,15650238,15839830,16164633,16170786,16224243,16242648,16265854,16649952,16733761,16761918,16880031,17419369,17589494,17659465,17708230,18030584,18068372,18272979,18330681,18540542,18731196,18789529,18947348,19007796,19314575,19474081,19528760,20095275,20214633,20284407,20704628,20993158,21018801,21191358,21249876,21434960,21436390,21798361,21929014,21969855,22120598,22550209,22609118,22697245,22741556,22887633,23177490,23338868,23434512,23574001,23915089,24114330,24215245,24722656,25010481,25363681,25576376,25623092,25697918,25721952,25723668,25811960,25959769,26066721,26363826,26459542,26519953,26646841,26786665,27067640,27236694,27382161,27439921,27592250,27691465,27812988,27856621,27933073,28498273,28606215,28745245,28773423,28937196,29038455,29058294,29578040,29700121,29766836,30072649,30084781,30119271,30227294,30273373,30277988,30441278,30451095,30513296,30718369,30974352,31445965,32094913,32143998,32298740,32481168,32848041,33110700,33177812,33229758,33275295,33341240,33542756,33684721,33768361,33781873,34106809,34135401,34254075,34321273,34327458,34494294,34688756,34836961,34846146,34962001,35026765,35174516,35318080,35493648,35642558,35769865,35856275,35929753,36132152,36135649,36233830,36394441,36537680,36541314,36660265,36889534,37076372,37253065,37508895,37671608,37735158,37739353,38141065,38436788,38472033,38541721,38758488,38879965,38930449,39172969,39417500,39532934,39542438,39584228,39732840,39902941,39904390,39912745,39930354,40009488,40648671,40695416,40857289,40993833,41104890,41199241,41290081,41403992,41746161,42032118,42380559,42381696,42475895,42595028,42923838,42995721,43027530,43081201,43180081,43236289,43292365,43414238,43480596,43487540,43603299,43845216,43991481,43992318,44235572,44308273,44340212,44400278,44609065,44699445,44703678,44736033,44870516,44963161,45010674,45047245,45094654,45231321,45485065,45641569,45687361,45769278,45782343,45871069,45882541,45891001,45896032,45897049,45985748,46465761,46505245,46579491,46655958,47141974,47301000,47456758,47679408,47827892,47885268,47895294,48121030,48125641,48242161,48391275,48575198,48974665,49005332,49028233,49030390,49325868,49570388,49965913,50454400,50598001,50664601,50758369,50917940,50971074,51121261,51223250,51231862,51239672,51281773,51617360,51633036,51672998,51950838,52185048,52252321,52435334,53213625,53252881,53314801,53447965,53526313,53530878,53534708,53639334,53759001,53767201,53814214,53998761,54056694,54582078,54811441,55169245,55451775,55647721,55664161,55806294,56399929,56475620,56543449,56554292,56610541,56761200,56764664,57146989,57247201,57400532,57569241,57644631,57740365,57745236,58025245,58069530,58708179,58769598,58836468,58848734,58953841,58954921,58985830,59148560,59370073,59526104,59688201,59767455,59877694,59903041,59923441,60006548,60390633,60545280,60679850,60850040,60874772,61093561,61101528,61146015,61320638,61467900,61557901,61685830,61940832,61946473,61996765,62020340,62074616,62222281,62254281,62533081,62702665,63343160,63469369,63714781,63751952,63756758,63856350,63860247,63970765,64137558,64206769,64392745,64581632,64802509,64867862,65046872,65222416,65395021,65565760,65603929,65858089,66077281,66079412,66203094,66347192,66542130,66607448,66852921,66917972,66966867,67076984,67177561,67476265,67528054,67770744,67954921,68113440,68271915,68313865,68325560,68456295,68555473,68625841,68739219,69163801,69288438,69349681,69368696,69393140,69630294,69665014,69683436,69833943,69899629,70782996,70798849,70814840,70978272,71034495,71127529,71259313,71261055,71334673,71592073,71599934,71720946,71964241,72197881,72654336,72769609,72792875,72815820,72823376,72975373,73020048,73177731,73375218,73761480,73816333,74010061,74012281,74022996,74031033,74257321,74396118,74424408,74640591,74692641,74907620,74933379,75132633,75138932,75237865,75243198,75461607,75493118,75600308,75684322,75718081,75719809,75770128,76011792,76199245,76242087,76610665,76627620,76633153,76764918,76795742,76866255,77271294,77295565,77661694,77670208,77682649,77971521,78039783,78192212,78195494,78252745,78662365,78662881,78678912,78886609,79158392,79220761,79520230,79666695,79850556,79889065,80160301,80410381,80722273,80891353,80893702,80971518,80976745,81098401,81139561,81690063,81736128,81784669,81926298,81926365,81976638,81990672,82000760,82141393,82147554,82267981,82575889,82692633,82738765,82981665,83271768,83660473,83727459,83751033,83889649,83933876,83951288,84069620,84359245,84527641,84564875,84697958,84814390,84914989,84977808,85241394,85502329,85513266,85593543,85723640,85740094,85955828,86066161,86458969,86586073,86685500,86817332,86897761,86963960,86977918,86979601,87047245,87139693,87171188,87351450,87378984,87446612,87449329,87693752,87730369,88025798,88107094,88343841,88513776,88745615,89052745,89053191,89452765,89475373,89621822,89729624,89889144,89985565,90285438,90288733,90342398,90396921,90537734,90783565,91003873,91359049,91415361,91439094,91656961,91685521,91932798,91953144,91981652,92024036,92184049,92239506,92250855,92495473,92754678,93036745,93045638,93174880,93436041,93680739,93900632,93903294,93961165,94185254,94238881,94394838,94399160,94445199,94620265,94638081,94822791,94977433,95142255,95156569,95266873,95306509,95424276,95435121,95600034,95633841,95802454,95866878,96030633,96290269,96439095,96592801,96669758,97172094,97187079,97250075,97576921,97657741,97770841,97834455,97936390,98101201,98301357,98311638,98400912,98493958,98553865,98655471,98805430,98937601,99064801,99286518,99297758,99435651,99577998,99713012,99733981,...,2455803337503876859801002524107900455957883776107536961938935933833079180111107416770947518483415271358196570225159750008667508323546196017073775372367749153081225977440556141278180709652332585600248095525945331760375956763677407898712282853898842969698818898291935667889948761945722537662273232541943329897533469611460432710506211672074659983859486536730400011279240501831912232440275935720098605897089349522164947280357137651319456694454839602674671150428444127360807440790099383899536467564576076005688781525597806061735236676924528402449508529362120069769339876785188329714822572524042333713740547279020355544166271574187024000988487370420319940741054791978262232220462377113615124954441013496852223122260244897003533308484385301235182857768799321956636855808958617636609464386199267678241334857469481427530479380123840043923550725780029338523429345208548883703351003930845938843238358374314395903150065408063159191316467511296474794216113241250296826237496580531212157044787934222448908644044300720951505820785757931177863243942380085223694216131102633946142439264374920984988711889967795941840546439161961628513816871117306330216008032221259468266189292098666511076730781516964052395585784196238662242623189731742945774792083802587329840879324718154943686105228034323496297778303138251724966267035629432929591018779987464796469390819739311541654532512073483692521113104427484262733048298132250054620602627393942872299834328234834440108725445676643643666963478667776886750892883678527316764841241795327267376419129221269333159048388391626280489113280945614743784140975580283557340435631580899148376052163058669765351805515517339342268308298377821200677487967168737232519888989072913640765497452184082801031534362483056796669016632290072272040112214016204219184737310222430034565281705063031517419458578300967248233468845596197701963830250408480143016988144401835957883727953142385093742929490015536150504743781349200131583736774843250701236987031850413372011112599659475154832101389680360158310002913478577544547824784606969011589717206090831152725916219699697186472786439380341808441539409588722901415634252204785550536388379070679195561933270841261193910423779698803722713239129624919195920537286930277936893042247421435126041620629426842188949540240156414976373458776171145043940804727804518344909787739638178694321810755445231547329263326100744315392493491973195810320906732825409824205536919443399971945528230522447275199107656726601139553621204432855466015210274123061817611237893923008181678720368854}
15792  8967732446567883834376305772772783995664724128018379062474286377: {78935,94722,299687,488591,536282,677207,725282,834167,914138,928247,959591,1291418,1640392,1668122,1709447,1771727,1845441,1856258,2051591,2330807,2361791,2396584,2547527,2602545,2696157,2702087,2776048,2979791,3123054,3287591,3356162,3471887,3625247,3747791,3837388,3864385,3900791,4020585,4288624,4358591,4637262,4661018,4661704,4824702,5117591,5244417,5389607,5437545,5449967,5520550,5723421,5800048,5841527,5917864,6171791,6291647,6441287,6525054,6620591,6624660,6650447,6657597,6670792,6799607,6836044,7066304,7067591,7097327,7173985,7334927,7423144,7433378,7504641,7690367,7886500,7949592,7955788,7956191,7985687,8167202,8351037,8498413,8608782,8700844,8841921,8943291,9013007,9081242,9100607,9392087,9463800,9566591,9740807,9809882,9885767,10001591,10094720,10248550,10434791,10481065,10578791,10646775,10693847,10717442,10837487,11094585,11124167,11299468,11356560,11438591,11834224,11981978,12113664,12121247,12140590,12298260,12319487,12506145,12577278,12742967,12776130,12883727,12922792,13118144,13128913,13239458,13313502,13318045,13339888,13421224,13627872,13974791,14133338,14212317,14252044,14391191,14538141,14568708,14757912,14916047,14971127,14972950,15007374,15023618,15071793,15081191,15098877,15246047,15328367,15331356,15378722,15492791,15629591,15738887,15776761,15910298,15981654,16066007,16283447,16473287,16602651,16878767,16919425,16969562,17013527,17087665,17121191,17145602,17151304,17186188,17343700,17399464,17523791,17897927,17924591,17967540,18164207,18297047,18473577,18694367,18723482,18755590,18879167,19165376,19295217,19421018,19574397,19630024,19640591,19768922,19797287,19901591,19942658,20303310,20447087,20505198,20636162,20808791,20812440,20827948,20866984,21066191,21292161,21297167,21425207,21552844,21561048,21578591,21632324,21656864,21986207,22062407,22083777,22199936,22341191,22349224,22379329,22506708,22538230,22585465,22711377,22946087,23216282,23413995,23475357,23684185,23759745,24067847,24216191,24256179,24363972,24398781,24410950,24440908,24462791,24579098,24684047,24974928,24978047,25087778,25142877,25343728,25880785,25925591,26046191,26142527,26262767,26384241,26550527,26562345,26699134,26789447,26793700,26952844,27003791,27045876,27102558,27109538,27501407,27619367,27713591,27810813,27925127,28025068,28096794,28112642,28255144,28322927,28333168,28392887,28421022,28426945,28511694,28532591,28555847,28741607,28880591,28903727,28944602,29173585,29249807,29293140,29662727,30103298,30345167,30433058,30516844,30683687,30903320,30926618,30953207,31056942,31246016,31488791,31489737,31599791,31615633,31787037,31821191,31874814,31931591,31970470,32028865,32063807,32073218,32152440,32154585,32261591,32264950,32893521,32962657,33180897,33347308,33692207,33698978,33777791,33834550,33913677,34022402,34112334,34295936,34298224,34394447,34521191,34647647,34755628,34766235,35008302,35046191,35151768,35171447,35233967,35275607,35338007,35608489,35648927,35790938,35855207,36171495,36228493,36265367,36285791,36315592,36509548,36570887,36712847,36894791,36972550,37083984,37208545,37416767,37700378,37774967,37847485,38012327,38071487,38091191,38141620,38364564,38385791,38434638,38483591,38546877,38582928,38585502,38717940,38744392,38853407,39143327,39239567,39432482,39545739,39546191,39689313,40115591,40159028,40209791,40322567,40373425,40378847,40601460,40770791,40789367,40855041,41232791,41299136,41342927,41388375,41397887,41472265,41676550,41719482,41762447,41871191,41928445,42051791,42249527,42537122,42571007,42695327,42748487,42790033,42858664,42942791,43118591,43276127,43308224,43360945,43363367,43380791,43405794,43587441,43727591,43797388,43968145,44147600,44156591,44258807,44306344,44367060,44513087,44650254,44664791,44834713,44899487,44979362,45165190,45246877,45340941,45416982,45513868,45661917,45672100,45735002,45741191,45757487,45769944,45838847,45984791,45992392,46000967,46290767,46336922,46345465,46461528,46609727,47089510,47191367,47269127,47324864,47547407,47731487,47868791,47884007,48020591,48045985,48128858,48215997,48381647,48448110,48721562,48721752,48987791,49002407,49220687,49271875,49336367,49480285,49666050,49669081,49765607,49766718,49844637,50011860,50187647,50285087,50313544,50314134,50409791,50561327,50684591,50766407,50869270,50902127,50923682,50942687,51144407,51296044,51491187,51621191,51677984,51741441,51754990,51764807,51959087,51997727,52033134,52085341,52229402,52266191,52269219,52278887,52342247,52517978,52693367,52755407,52761774,52841927,52949762,52977120,53093402,53240472,53243785,53304767,53345984,53388767,53424647,53463837,53523458,53555591,53567447,53919407,53952218,53977367,54023591,54081191,54184367,54198228,54298247,54315289,54350745,54359425,54422591,54534791,54658444,54806520,54811971,54822767,54964727,55255247,55294465,55334301,55403591,55425265,55498127,55614558,55661548,55777847,55782958,55795202,56042824,56076578,56081807,56088145,56359007,56466191,56504927,56507412,56508928,56602737,56620367,56696687,56706191,56777498,56916013,56931887,56987591,57056858,57069614,57180287,57231784,57261791,57306791,57315767,57327628,57342647,57370040,57474818,57475967,57482185,57493607,57528791,57655182,57752738,57882047,57974128,58053793,58132007,58137732,58164791,58205591,58238087,58281517,58445018,58460288,58571567,58655308,58656424,58679591,58692361,58793591,58913207,58950167,59023487,59036989,59126250,59167727,59231591,59273807,59299401,59313657,59343527,59376342,59378087,59599260,59604904,59648044,59706191,59784865,59802791,59856585,59891327,59895531,59965967,59984447,59990591,60014232,60027287,60045527,60075767,60091802,60171191,60253007,60258791,60308428,60310487,60321887,60344591,60537791,60543167,60591191,60636122,60697609,60716087,60816647,60889967,60918791,60994247,61025704,61043124,61063127,61099127,61103591,61125791,61130207,61195487,61208327,61233791,61256665,61279727,61292087,61313282,61352807,61472591,61491191,61567127,61612367,61657335,61679327,61717967,61758527,61791791,61852607,61877591,61888487,61901927,61933367,61954348,61962985,62027591,62047607,62069087,62105988,62174591,62189207,62207687,62207944,62212127,62226407,62233247,62234591,62242487,62248847,62271191,62295287,62300591,62304791,62308007,62309567,62316887,62326367,62342327,62343791,62346287,62790362,62923778,63048177,63068000,63572544,63647425,63720454,63847024,63860392,63892542,64049590,64118042,64385757,64521700,64541295,64776482,65121357,65220894,65231310,65269633,65561858,65767824,65952602,65988477,66298862,66353358,66510318,66600417,66918385,67055517,67117058,67305774,67502618,67516011,67641981,67961432,68653917,68844048,68978622,69263593,69267784,69580064,69762121,69914402,69983937,70415522,70436641,70594525,70692865,70712961,70951500,70955830,71185137,71374504,71519112,71534618,71678668,71741838,71750665,71781722,71827902,71842941,71998348,72075592,72181545,72413902,72519578,72776104,72862797,73457377,73495322,73507998,73545585,73935700,73988802,74341538,74355582,74407630,74408392,74702042,75008185,75657373,75681600,76062550,76093465,76131098,76376910,76456611,76571638,76720418,76732033,76758988,76834875,76847793,76859508,76993648,77127037,77426040,77449554,77509497,77525425,77593270,77926257,78277572,78359464,78448624,78513421,78653001,79041698,79178950,79384922,79584268,79689940,80001337,80296317,80302062,80459001,80520844,80721321,80727040,80969498,81085041,81308590,81468704,81528020,81528578,81827581,81873117,81957200,82163053,82415618,82587776,82599265,82933990,83005708,83232721,83259310,83647465,83709441,83846230,84053978,84485402,84713430,84831438,85141800,85146996,85341338,85406950,85447682,85516744,86100798,86422849,86503202,86617854,86710870,86712578,86741425,87104295,87647642,88154397,88254702,88270792,88273101,88478745,88518550,88722840,88799438,88977698,89079002,89137228,89289156,89401897,89784098,89816541,90009822,90360992,90779138,90817920,91019775,91029220,91173122,91204201,91275060,91312158,91467098,91652292,91954178,91980957,92148002,92201850,92207401,92384584,92437658,92528745,92584849,92840392,92911248,93030510,93108482,93111924,93634525,93923665,94148378,94335578,94377328,94428962,94500385,94522202,94637696,94712660,95014740,95357713,95446682,95627928,95635137,95721218,95784525,96206337,96356762,96577969,96716762,96872448,97087760,97301793,97360064,97518338,97570308,97740265,97833624,97958618,98348640,98395298,98697328,98708044,98947990,99119118,99194824,99232544,99304641,99325534,99520788,99590188,99813195,99911172,...,3683705006255815289701503786161850683936825664161305442908403900749618770166661125156421277725122907037294855337739625013001262485319294025610663058551623729621838966160834211917271064478498878400372143288917997640563935145516111848068424280848264454548228347437903501834923142918583806493409848812914994846300204417190649065759317508111989975789229805095600016918860752747868348660413903580147908845634024283247420920535706476979185041682259404012006725642666191041211161185149075849304701346864114008533172288396709092602855015386792603674262794043180104654009815177782494572233858786063500570610820918530533316249407361280536001482731055630479911111582187967393348330693565670422687431661520245278334683390367345505299962726577951852774286653198982934955283713437926454914196579298901517362002286204222141295719070185760065885326088670044007785144017812823325555026505896268908264857537561471593854725098112094738786974701266944712191324169861875445239356244870796818235567181901333673362966066451081427258731178636896766794865913570127835541324196653950919213658896562381477483067834951693912760819658742942442770725306675959495324012048331889202399283938147999766615096172275446078593378676294357993363934784597614418662188125703880994761318987077232415529157842051485244446667454707377587449400553444149394386528169981197194704086229608967312481798768110225538781669656641226394099572447198375081930903941090914308449751492352251660163088168514965465500445218001665330126339325517790975147261862692990901064628693831903999738572582587439420733669921418422115676211463370425336010653447371348722564078244588004648027708273276009013402462447566731801016231950753105848779833483609370461148246178276124201547301543724585195003524948435108408060168321024306328777105965333645051847922557594547276129187867451450872350203268394296552945745375612720214525482216602753936825591929713577640614394235023304225757115672023800197375605162264876051855480547775620058016668899489212732248152084520540237465004370217866316821737176910453517384575809136246729088874329549545779709179659070512712662309114383084352123451378307178325804582568606018793342899906261891790865635669548205584069858694437378793880805930395416905339563371132152689062430944140263283424310360234622464560188164256717565911207091706777517364681609457268041482716133167847320993894989151116473088740237959793715481360099238114736308305379165099957918292345783670912798661485089901709330431806649283199022815411184592726416856840884512272518080553281}
15793  9007236008319766081710920754865647069450569731174681328850457616: {31582,126296,142083,804423,1087923,1371207,1435343,1937127,2050490,2097011,2429042,2460588,2502183,2664623,2784387,2995730,3470060,3594876,3752546,3892967,4078991,4164072,4509362,4684581,4796735,5034243,5075042,5178131,5360780,5756082,5827130,5836943,6183016,6346847,6432936,6495251,6588098,6955893,6966362,6991527,6992556,7237053,7250060,7397330,7444547,7631228,8280825,8338490,8388887,8545055,8700072,8796983,8832880,8876796,9278930,9612863,9787581,9858125,9899831,9936990,9944735,10006188,10254066,10354946,10599456,10740818,10835903,10876055,11063111,11134716,11150067,11221907,11307443,11478376,11500823,11672402,11743571,11789228,11829750,11874746,11924388,11933682,12250803,12256007,12618400,12852227,12913173,13051266,13388783,13621863,13764626,14044211,14124335,14143967,14195700,14196578,14714823,14792780,14887202,15007391,15117491,15142080,15224531,15372825,15554003,16076163,16151552,16153490,16267922,16397680,16674860,16769704,16775642,16776530,16875071,16949202,17034840,17176271,17751336,17764307,17815055,17972967,18170496,18210885,18258611,18337682,18447390,18865917,18949756,19164195,19223282,19384188,19424944,19555571,19677216,19776263,19797146,19859187,19970253,20009832,20095724,20131836,20441808,20586527,20995826,21200007,21308872,21378066,21439130,21482735,21679625,21749330,21853062,21931802,22136868,22175762,22205807,22440962,22459425,22511061,22535427,22997034,22998722,23014823,23068083,23865447,23918147,23956720,23972481,24508898,24537530,24631436,24723251,24791522,25131746,25454343,25718403,25726956,25779282,25854671,26015550,26034935,26083730,26099196,26462906,26650247,26774162,26941055,26951310,27040405,27071080,27340264,27749920,27860183,27936530,28004867,28085223,28133385,28263287,28284338,28389548,28748064,29030951,29131527,29445036,29653383,29661122,29913987,30008944,30010946,30281836,30454965,30551135,30668147,30679727,30757797,30954243,31061591,31218660,31241922,31300476,31679660,31776143,31851011,32329266,32341572,32448486,32485296,32531708,33299904,33467522,33492125,33523836,33624167,33691055,33760062,33786191,33807345,33901343,34111187,34824423,34838738,35031335,35100143,35178988,35318930,35416460,36061168,36136744,36303527,36545958,36616425,36661362,36868647,37081084,37115123,37462392,37501331,37579058,37631667,37756211,37894696,38015592,38146055,38166227,38407667,38629150,38768051,38935427,38948162,39057520,39262127,39908063,40048701,40190550,40243343,40308047,40342067,40429266,40568814,40653837,40664307,41199191,41409256,41684135,41687111,41986316,42037602,42145191,42168963,42359783,42382716,42499752,42631533,42705767,42767541,42869920,42872780,43416903,43444535,43596722,43858028,43939710,44024351,44071271,44241196,45100418,45154947,45182723,45218236,45394490,45483112,45636935,45649587,45693203,45775266,46238291,46295327,46354980,46389927,46585413,46677736,46779407,46869024,46927247,47148002,47677025,47812221,47830178,47867987,47955705,48109827,48228660,48285887,48397425,48430490,49034591,49037471,49373171,49445312,49521011,50020962,50077811,50198785,50548467,50690207,50727362,50751825,51033603,51127823,51152752,51168501,51246184,51280487,51324371,51395836,51443904,51447336,51591431,51623920,51919538,52133442,52154291,52512453,52727652,52919084,53039906,53234387,53293682,53397491,53573330,53686407,54135280,54241967,54244787,54431951,54473388,54746735,54764322,54818447,54879842,55184500,55382930,55458825,55625976,55713242,55866146,55877843,55915523,56257091,56550567,56550707,56892335,56996546,57013463,57090125,57135527,57212430,57490490,57546846,57651957,57874392,57878253,58076910,58116588,58171571,58311791,58510643,59148723,59156080,59400242,59466253,59533672,59934647,60145298,60169562,60238542,60454588,60546746,60555976,60609311,60615623,60882556,60902190,61026592,61436738,61752743,61931651,61948704,61954391,62452691,62514825,62579223,62891930,62935223,63066143,63104351,63679091,63805683,64120055,64189826,64287996,64597480,64962336,65107343,65108691,65403383,65572607,65696082,65889587,66085727,66221400,66355624,66459516,66550590,66682480,66975381,67085512,67369442,67451927,67469043,67536722,67563746,67655783,67747785,67827791,67963607,68125473,68213618,68270802,68323055,68508150,68564531,68602503,68642546,68654916,68800007,68988588,69163127,69300563,69377512,69505383,69576935,69673922,69692292,69908567,69924002,70053530,70349032,70634265,70636160,70794503,70987296,71058671,71136791,71285116,71343791,71539730,71659535,71712550,71859506,71973443,72193287,72264304,72271298,72467660,72672165,72788882,73075360,73082343,73082628,73107287,73309367,73319135,73320530,73440671,73535423,73745927,73779068,74152744,74499075,74506130,74536823,74560055,74650077,74827151,75017790,75343216,75385535,75470316,75471201,75478706,75507827,75727763,75880727,76282130,76303905,76385523,76873576,76944066,77083442,77236943,77442935,77508467,77516976,77632485,77759930,77832287,77860898,78019667,78049701,78344103,78345938,78776967,78835000,79065868,79084876,79142661,79168456,79172711,79230887,79391663,79424643,79465680,79640103,79805882,79808780,79825490,79860708,80018976,80285187,80420663,80652125,80836511,80928327,81108767,81235343,81297342,81390832,81560711,81714578,81795167,81854447,81987666,82209780,82398482,82580162,82717127,82807984,82819571,83382863,83421837,83492322,83671367,83674437,83692803,84059807,84064236,84114867,84761118,84763392,84925847,84951790,85166247,85190056,85585287,85604421,85847676,85991442,86000447,86041391,86055060,86162402,86212227,86360162,86470067,86472578,86482773,86584730,86629107,86795471,86828476,86961192,86975080,86990723,87206598,87424991,87667527,87690432,87741587,87783731,87785027,87981827,87982962,87984636,88450031,88471144,88616546,88680424,88689375,88800556,89064513,89218130,89398890,89407356,89472066,89487047,89559071,89598335,89741032,89926322,89997935,90021348,90094490,90137703,90149843,90189308,90201647,90219011,90462642,90699191,90954183,90970130,91283138,91374722,91528391,91538556,91564686,91742138,91765082,91782002,91792064,91794098,91806767,91946567,91969923,91971496,92419625,92931522,92965223,93010490,93149327,93158982,93229811,93311916,94185543,94283948,94385667,94466771,94602000,94913516,95358816,95580681,95639411,95655784,95770536,95790588,95838813,95948735,96074385,96177063,96242060,96251282,96484322,96585791,96782550,97121027,97150396,97164723,97589687,97831341,97846965,97949330,98010664,98056466,98060780,98197007,98342787,98651736,98705903,98928903,99140776,99448293,99480335,99530037,99612425,99746783,99765477,99896303,99931826,99955607,...,4911606675007753719602005048215800911915767552215073923877871867666158360222214833541895036966830542716393140450319500017335016647092392034147550744735498306162451954881112282556361419304665171200496191051890663520751913527354815797424565707797685939397637796583871335779897523891445075324546465083886659795066939222920865421012423344149319967718973073460800022558481003663824464880551871440197211794178699044329894560714275302638913388909679205349342300856888254721614881580198767799072935129152152011377563051195612123470473353849056804899017058724240139538679753570376659429645145048084667427481094558040711088332543148374048001976974740840639881482109583956524464440924754227230249908882026993704446244520489794007066616968770602470365715537598643913273711617917235273218928772398535356482669714938962855060958760247680087847101451560058677046858690417097767406702007861691877686476716748628791806300130816126318382632935022592949588432226482500593652474993161062424314089575868444897817288088601441903011641571515862355726487884760170447388432262205267892284878528749841969977423779935591883681092878323923257027633742234612660432016064442518936532378584197333022153461563033928104791171568392477324485246379463485891549584167605174659681758649436309887372210456068646992595556606276503449932534071258865859182037559974929592938781639478623083309065024146967385042226208854968525466096596264500109241205254787885744599668656469668880217450891353287287333926957335553773501785767357054633529682483590654534752838258442538666318096776783252560978226561891229487568281951160567114680871263161798296752104326117339530703611031034678684536616596755642401354975934337474465039777978145827281530994904368165602063068724966113593338033264580144544080224428032408438369474620444860069130563410126063034838917156601934496466937691192395403927660500816960286033976288803671915767455906284770187485858980031072301009487562698400263167473549686501402473974063700826744022225199318950309664202779360720316620005826957155089095649569213938023179434412181662305451832439399394372945572878760683616883078819177445802831268504409571101072776758141358391123866541682522387820847559397607445426478259249838391841074573860555873786084494842870252083241258853684377899080480312829952746917552342290087881609455609036689819575479276357388643621510890463094658526652201488630784986983946391620641813465650819648411073838886799943891056461044894550398215313453202279107242408865710932030420548246123635222475787846016363357440737708}
15794  9046912221340437319667610221676072531014417290768049936563836657: {47373,110509,157870,189444,599374,959713,977182,1053709,1072564,1354414,1450564,1668334,1828276,1856494,1919182,1989709,2362093,2582836,3010993,3075735,3280784,3288013,3336244,3418894,3543454,3643563,3690882,3712516,4103182,4337575,4389613,4493595,4661614,4723582,4793168,5095054,5205090,5392314,5404174,5410139,5552096,5628819,5661709,5959582,6246108,6472033,6575182,6651313,6700975,6712324,6764043,6943774,7098253,7250494,7454509,7495582,7612563,7674776,7728770,7801582,7986733,8041170,8577248,8634123,8717182,8740695,8780209,9062575,9130993,9218509,9274524,9322036,9323408,9539035,9649404,9882147,10043579,10176433,10235182,10449543,10488834,10779214,10875090,10899934,11039713,11041100,11095995,11446842,11600096,11683054,11835728,12151213,12343582,12507735,12583294,12882574,13050108,13241182,13249320,13300894,13315194,13341584,13502509,13599214,13672088,13918395,14132608,14135182,14194654,14337709,14347970,14669854,14673491,14736535,14752609,14846288,14866756,14905485,15009282,15380734,15381099,15532419,15659053,15773000,15899184,15911576,15912382,15971374,16111227,16334404,16702074,16996826,17217564,17401688,17508603,17526193,17683842,17744625,17812119,17886582,17900523,17927053,18007009,18026014,18162484,18201214,18490975,18645263,18723373,18784174,18927600,19133182,19481614,19576899,19619764,19771534,20003182,20189440,20497100,20646939,20760109,20837473,20843575,20869582,20962130,20977891,21069133,21157582,21293550,21294867,21387694,21434884,21674974,21989293,22189170,22248334,22330803,22598936,22672609,22713120,22877182,22974433,23668448,23687195,23922731,23963956,24227328,24230235,24242494,24244333,24281180,24401883,24596520,24638974,24981613,25012290,25119655,25154556,25163463,25164795,25423803,25485934,25552260,25566253,25767454,25845584,25929313,26074033,26236288,26257826,26478916,26627004,26636090,26679776,26842448,27255744,27434509,27506523,27671085,27949582,28266676,28424634,28504088,28560013,28782382,28834923,28907953,29076282,29137416,29460913,29515824,29695719,29832094,29940973,29942254,29945900,30014748,30047236,30143586,30162382,30197754,30492094,30656734,30662712,30757444,30789295,30823153,30985582,31259182,31477774,31493739,31553522,31619651,31820596,31892209,31958413,31963308,32067099,32132014,32158695,32566894,32623995,32779593,32877709,32897703,32946574,33157859,33205302,33263643,33267373,33661443,33757534,33838850,33939124,34027054,34175330,34242382,34291204,34302608,34372376,34484209,34495551,34498083,34687400,34798928,34800109,35047582,35486935,35675053,35795854,35849182,35935080,36233099,36291373,36328414,36594094,36763347,36806295,36947154,37187283,37262509,37388734,37446964,37511180,37697619,37758334,37852295,37919473,38097133,38330752,38590434,38668923,38743009,38842036,39023325,39125595,39148794,39260048,39281182,39537844,39594574,39599575,39694359,39797723,39803182,39885316,40121953,40161243,40426965,40460209,40606620,40664635,40795873,40843019,40894174,41010396,41272324,41294509,41617582,41623693,41624880,41655896,41733968,41787313,41896033,41904795,42132382,42426507,42584322,42594334,42850414,43105688,43122096,43157182,43178209,43264648,43313728,43387873,43752013,43829467,43972414,43973735,44124814,44163853,44167554,44215009,44270575,44399872,44491683,44682382,44698448,44722609,44758658,44840411,45013416,45016419,45076460,45170930,45422754,45765133,45892174,46008673,46351355,46432564,46442509,46633453,46827990,46862883,46917709,46950714,47368370,47519490,47570893,47892193,48135694,48432382,48493899,48512358,48524209,48672729,48702193,48727944,48797562,48821900,48881816,48925582,49010893,49158196,49368094,49402609,49617709,49831009,49949856,49956094,50066071,50175556,50201283,50285754,50418673,50570039,50640093,50687456,50707213,50870509,51472609,51630433,51761570,51851182,51903853,52091963,52092382,52258107,52285054,52288333,52482895,52525534,52768482,52777393,52978395,52986479,53101054,53124690,53398268,53398573,53577313,53578894,53587400,53590975,53719009,53905688,54007582,54091752,54102733,54205116,54219076,54578509,54818937,54822535,54909709,54992043,55002814,55072609,55233709,55238734,55301495,55427182,55519153,55621626,55850254,56050136,56193588,56225284,56311009,56368587,56510288,56522795,56645854,56666336,56717233,56745709,56785774,56842044,56853890,57023388,57065182,57111694,57327073,57460813,57483214,57540193,57761182,57807454,57889204,57943725,58052833,58061171,58077709,58347170,58422243,58465933,58499614,58586280,58699823,58790509,59035633,59250913,59314093,59325454,59355853,59640109,60003313,60040033,60112609,60206596,60271693,60285825,60556273,60643899,60690334,60698509,60705323,60775009,60834913,60853221,60866116,60908173,60936973,61033688,61117153,61143793,61209133,61309933,61367374,61382509,61541773,61555403,61657009,61806640,61853236,61894753,61906414,62044513,62064493,62113884,62132209,62186209,62210509,62249713,62257633,62276173,62338273,62361709,62492032,62977582,62979474,63056403,63199582,63231266,63574074,63642382,63749628,63863182,63940940,64057730,64127614,64146436,64244795,64304880,64309170,64523182,64529900,64883651,65395083,65787042,65909565,65925314,66148855,66361794,66694616,67264379,67384414,67397956,67555582,67650627,67669100,67827354,68044804,68091735,68224668,68591872,68596448,68662899,68788894,68980625,69042382,69272399,69295294,69511256,69532470,69770987,70016604,70092382,70303536,70342894,70467934,70551214,70676014,70722003,71216978,71297854,71581876,71710414,71745267,72342990,72456986,72530734,72571582,72631184,72645735,73019096,73141774,73425694,73789582,73945100,74167968,74417090,74541299,74833534,75031443,75400756,75549934,75568235,75694970,76024654,76091043,76103195,76142974,76182382,76283240,76729128,76771582,76869276,76967182,77093754,77136839,77165856,77171004,77412251,77435880,77488784,77595371,77706814,77879307,78041491,78200163,78286654,78479134,78523403,78864964,79091478,79092382,79378626,79559859,79940523,80231182,80318056,80359995,80419582,80475059,80645134,80746850,80757694,81202920,81541582,81578734,81710082,82146483,82319763,82446143,82465582,82598272,82685854,82776750,82795774,82944530,83074395,83243303,83353100,83438964,83524894,83569863,83698811,83742382,83799219,83856890,84103582,84499054,85074244,85142014,85341751,85390654,85494819,85496974,85580066,85717328,85759331,85818645,85885582,86235735,86237182,86320269,86552254,86616448,86721890,86726734,86748179,86761582,86811588,87115365,87174882,87455182,87594776,87936290,88295200,88313182,88517614,88612688,88734120,89026174,89100363,89106395,89300508,89329582,89413259,89669426,89798974,89958724,90217947,90254343,90330380,90357813,90493754,90584575,90681882,90820119,90833964,91027736,91323834,91344200,91353285,91470004,91482382,91514974,91539888,91573603,91677694,91969582,91984784,92001934,92155107,92223835,92581534,92673844,92690930,92923056,93219454,93685739,94179020,94337895,94382734,94538254,94649728,95094814,95462974,95737582,95768014,96041182,96091970,96257716,96284739,96431994,96590243,96705323,96763294,96896220,97443124,97443504,97975582,98004814,98365943,98441374,98543750,98544123,98672734,98832335,98856095,98960570,98970011,99332100,99338162,99531214,99533436,99689274,99760975,99825885,...,7367410012511630579403007572323701367873651328322610885816807801499237540333322250312842555450245814074589710675479250026002524970638588051221326117103247459243677932321668423834542128956997756800744286577835995281127870291032223696136848561696528909096456694875807003669846285837167612986819697625829989692600408834381298131518635016223979951578459610191200033837721505495736697320827807160295817691268048566494841841071412953958370083364518808024013451285332382082422322370298151698609402693728228017066344576793418185205710030773585207348525588086360209308019630355564989144467717572127001141221641837061066632498814722561072002965462111260959822223164375934786696661387131340845374863323040490556669366780734691010599925453155903705548573306397965869910567426875852909828393158597803034724004572408444282591438140371520131770652177340088015570288035625646651110053011792537816529715075122943187709450196224189477573949402533889424382648339723750890478712489741593636471134363802667346725932132902162854517462357273793533589731827140255671082648393307901838427317793124762954966135669903387825521639317485884885541450613351918990648024096663778404798567876295999533230192344550892157186757352588715986727869569195228837324376251407761989522637974154464831058315684102970488893334909414755174898801106888298788773056339962394389408172459217934624963597536220451077563339313282452788199144894396750163861807882181828616899502984704503320326176337029930931000890436003330660252678651035581950294523725385981802129257387663807999477145165174878841467339842836844231352422926740850672021306894742697445128156489176009296055416546552018026804924895133463602032463901506211697559666967218740922296492356552248403094603087449170390007049896870216816120336642048612657554211930667290103695845115189094552258375734902901744700406536788593105891490751225440429050964433205507873651183859427155281228788470046608451514231344047600394751210324529752103710961095551240116033337798978425464496304169041080474930008740435732633643474353820907034769151618272493458177748659099091559418359318141025425324618228766168704246902756614356651609165137212037586685799812523783581731271339096411168139717388874757587761611860790833810679126742264305378124861888280526566848620720469244929120376328513435131822414183413555034729363218914536082965432266335694641987789978302232946177480475919587430962720198476229472616610758330199915836584691567341825597322970179803418660863613298566398045630822369185452833713681769024545036161106562}
15795  9086761834281018593346163687419287035071074362793961948276106904: {63164,236805,252592,284166,899061,1340705,1465773,1608846,1813205,1908533,2031621,2175846,2285345,2502501,2742414,2784741,2870686,2878773,2948429,3228545,3874254,3987533,4100980,4170305,4194022,4554929,4640645,4858084,4921176,5004366,5128341,5315181,5329246,5536323,5568774,5991460,6154773,6715429,6940120,6992421,7085373,7189752,7505092,7642581,7764257,7785934,7807635,8088471,8106261,8136029,8157982,8328144,8331221,8390405,8798101,8939373,9018724,9171173,9369162,9593470,9862773,10068486,10150084,10356262,10415661,10721560,10875741,10968689,11064517,11243373,11512164,11593155,11652545,11654260,11673886,11702373,11963077,12061755,12366032,12569069,12693694,12853861,12865872,12990502,13075773,13176196,13234817,13801375,13911786,13922629,13932724,13983054,13985112,14474106,14500120,14794660,14834333,14889094,15119413,15226477,15262456,15352773,15733251,16168821,16312635,16349901,16561650,16676980,16777774,17090110,17170263,17400144,17423813,17524581,17593966,17665760,17753592,18038869,18515373,18557860,18583445,18874941,19225726,19323861,19479053,19575162,19716250,19774069,19799662,19861773,19873980,19889470,19951341,19972791,20012376,20398821,20418005,20508132,20709892,20994181,21198912,21202773,21291981,21481636,21521955,21671806,21752110,22004781,22126222,22269432,22300134,22443814,22513923,22614886,22703105,22956752,23001646,23071101,23344804,23487142,23578456,23580029,23659500,23749492,23848776,23867364,23868573,23957061,24501606,24512014,24524705,24941077,25053111,25236800,25495239,25621375,25704454,25826346,26102532,26525763,26777566,26793605,26829873,27039021,27243726,27301821,27529252,28088422,28176261,28248670,28266901,28287934,28391400,28393156,28505549,28699773,28896397,29222421,29429646,29585560,29657301,29774404,29954945,30004773,30014782,30075829,30234982,30284160,30351475,30449062,30745650,31108006,31304373,31443195,31736373,31940325,32081541,32103101,32152326,32303104,32306980,32446357,32512461,32535844,32795360,33096661,33098645,33283755,33349720,33372501,33539408,33551284,33553060,33750142,33898404,34069680,34315773,34352542,34845869,35333345,35502672,35528614,35630110,35945934,36340992,36363741,36403733,36421770,36427889,36448909,36517222,36675364,36709153,36894780,36958461,37432375,37518435,37559045,37717477,37731834,37748981,37761037,37856567,37899512,38228901,38328390,38446564,38446805,38651181,38768376,38849888,39111142,39354432,39386739,39552526,39588257,39594292,39718374,39775745,39857213,39940506,39954135,40019664,40191448,40263672,40313221,40883616,41173054,41924373,41991652,42400014,42423905,42617744,42636951,42756132,42771589,42864005,42878260,42965470,43173573,43359250,43498660,43614423,43706124,43863604,43894829,44273736,44351524,44411614,44748141,44881924,44913381,44918850,45022122,45070854,45105541,45215379,45243573,45296631,45653213,45738141,45829717,45985101,45994068,45997444,46029646,46136166,46478373,46591477,46808705,46888773,46888975,47110669,47126333,47167477,47216661,47330283,47730894,47836294,47913440,47944962,48198021,48552545,48689953,48850341,49017796,49040741,49043869,49075060,49216381,49262872,49419861,49422305,49446502,49583044,49807953,49856645,50005573,50263492,50636301,50758275,50908686,51040581,51262995,51363573,51436806,51453912,51558564,51590405,51709342,52031100,52069870,52167460,52180769,52198392,52571373,52925812,52933133,53300494,53328413,53404477,53548324,53693781,53773773,53882110,53902620,53933429,54080810,54142160,54492621,54645253,54680528,54891141,55420731,55499840,55720366,55873060,56009734,56083101,56170446,56207329,56266770,56345575,56526574,56568676,56637501,56779096,57142861,57496128,57885651,58040705,58061902,58263054,58357789,58723191,58890072,58921773,58969973,59306766,59322244,59391861,59704773,59827974,60011309,60017888,60021892,60563672,60822349,60909930,61027375,61102270,61336294,61341261,61359454,61447745,61515594,61908486,62094017,62123182,62426373,62437320,62483844,62600952,62719445,63112417,63198573,63359320,63552286,63702022,63876483,63891501,63891709,64031029,64275621,64658532,64683144,64735773,64884413,64896972,64970592,65063416,65958621,66187221,66251331,66253709,66485653,66599808,66747835,66935044,66984250,67023573,67047672,67137987,67248334,67382110,67520124,67572382,67614690,67756395,67773845,67802686,67854413,68134131,68222374,68447333,68643389,68838261,69309421,69648846,69677476,69738433,70062670,70200286,70241985,70278299,70281605,70302229,70357976,70426071,70637860,70832920,71052555,71279235,72122336,72203541,72273488,72361505,72464753,72607054,72648573,72768537,73091916,73196343,73232850,73318741,73322724,73388373,73737294,74029169,74052141,74162168,74230246,74276309,74924784,74934141,75002662,75158116,75258245,75263334,75428631,75512422,75789392,75959269,76031184,76082645,76292110,76332454,76645429,76815334,77258300,77316545,77536102,77642355,77776773,77870854,77896324,78115040,78138573,78427581,78524254,78658589,78788301,78831853,79152723,79649269,79651581,79687035,79816126,79926175,80097402,80183045,80328517,80368341,80381100,80486686,80616094,80662375,80684134,80858532,81011373,81137628,81307674,81328614,81738241,81774029,82162397,82398382,82504221,82818512,82830157,82858101,83140773,83305861,83319329,83368270,83374222,83393521,83432439,83726273,83775381,83972632,84070753,84075204,84247445,84290382,84337926,84586375,84719566,84765432,84968781,84999504,85056005,85178661,85263066,85280835,85411534,85535082,85597773,85667541,85739840,85745560,86224821,86399521,86641773,86711181,86833806,86889070,87193444,87196309,87436213,87472253,87520755,87716056,87749421,87879420,88048702,88142542,88482392,88945697,88988181,89477345,89768077,90200836,90213181,90309894,90365446,90436472,90626209,90788980,90966224,91035501,91273870,91299174,91386406,91550532,92051061,92172413,92205061,92431375,92476582,92590654,92709960,92779854,92859621,93170826,93295829,93355472,93558814,93602081,93738048,93854494,94250945,94296004,94466373,94469211,94799373,94846899,95354050,95361111,95463573,95624442,95652277,95660356,95735974,95794773,95911410,96086595,96191421,96219654,96457320,96463755,96571774,96784773,96794850,96860980,97407709,98069182,98074942,98581205,98665877,98680563,98746342,98855917,98887971,98890624,99042022,99542691,...,11051115018767445869104511358485552051810476992483916328725211702248856310499983375469263833175368721111884566013218875039003787455957882076831989175654871188865516898482502635751813193435496635201116429866753992921691805436548335544205272842544793363644685042313710505504769428755751419480229546438744984538900613251571947197277952524335969927367689415286800050756582258243605045981241710740443726536902072849742262761607119430937555125046778212036020176927998573123633483555447227547914104040592342025599516865190127277808565046160377811022788382129540313962029445533347483716701576358190501711832462755591599948748222083841608004448193166891439733334746563902180044992080697011268062294984560735835004050171102036515899888179733855558322859959596948804865851140313779364742589737896704552086006858612666423887157210557280197655978266010132023355432053438469976665079517688806724794572612684414781564175294336284216360924103800834136573972509585626335718068734612390454706701545704001020088898199353244281776193535910690300384597740710383506623972589961852757640976689687144432449203504855081738282458976228827328312175920027878485972036144995667607197851814443999299845288516826338235780136028883073980091804353792843255986564377111642984283956961231697246587473526154455733340002364122132762348201660332448183159584509943591584112258688826901937445396304330676616345008969923679182298717341595125245792711823272742925349254477056754980489264505544896396501335654004995990379017976553372925441785588078972703193886081495711999215717747762318262201009764255266347028634390111276008031960342114046167692234733764013944083124819828027040207387342700195403048695852259317546339500450828111383444738534828372604641904631173755585010574845305325224180504963072918986331317896000935155543767672783641828387563602354352617050609805182889658837236126838160643576446649808261810476775789140732921843182705069912677271347016071400592126815486794628155566441643326860174050006698467638196744456253561620712395013110653598950465211530731360552153727427408740187266622988648637339127538977211538137986927343149253056370354134921534977413747705818056380028699718785675372596907008644616752209576083312136381642417791186250716018690113396458067187292832420789850272931080703867393680564492770152697733621275120332552094044828371804124448148399503541962981684967453349419266220713879381146444080297714344208924916137495299873754877037351012738395984455269705127991295419947849597068446233553778179250570522653536817554241659843}
15796  9126785599013416592957703754101718758136944874468850071068059303: {78955,94746,221018,315740,362779,378888,426249,457243,740203,928483,1198748,1772179,1919426,1954364,2107418,2145128,2331403,2413269,2610043,2708828,2901128,3263769,3336668,3534163,3656552,3712988,3838364,3979418,4113621,4176763,4306029,4724186,5126225,5165672,5451379,5811381,5903179,6021986,6072605,6151470,6291033,6442963,6561568,6576026,6672488,6837788,7086908,7158643,7287126,7381764,7425032,7489325,7506549,7781083,7993869,8206364,8353161,8576179,8664163,8675150,8779226,8987190,9323228,9381365,9447164,9586336,9801403,9975283,10190108,10410180,10784628,10808348,10820278,10840363,11104192,11184379,11257638,11273405,11323418,11678901,11919164,12236973,12379363,12492216,12548923,12687605,12802723,12944066,13150364,13302626,13354649,13401950,13424648,13528086,13811443,13887548,14053743,14145379,14196506,14390205,14500988,14561179,14567825,14909018,14975179,14991164,15102729,15225126,15349552,15457540,15469603,15534393,15603164,15973466,16082340,16124803,16470245,17018179,17154496,17268246,17415905,17434364,17481390,17510829,17560418,18125150,18261986,18302083,18437018,18493325,18540763,18549048,18644072,18646816,18937123,19040541,19078070,19298808,19485753,19764294,19802779,20087158,20271283,20352866,20470364,20504563,20631149,20846225,20867679,20899086,20974581,20977668,21354379,21558428,21711159,21750180,21799868,22079426,22082200,22119379,22191990,22333641,22893684,22952563,23178283,23197325,23200192,23366108,23671456,24074683,24302426,24687164,24792053,24842475,25015470,25034083,25166588,25166661,25635165,25765148,25887365,26100216,26270323,26390949,26482364,26498640,26558179,26601788,26630388,26683168,26852045,27005018,27198428,27344176,27556603,27836790,28050523,28265216,28270364,28389308,28610683,28675418,28695940,28750003,28838589,29181005,29339708,29346982,29362743,29473070,29505218,29574375,29686865,29692576,29699493,29733512,29810970,29834205,30018564,30399379,30737779,30761468,30762198,31007203,31064838,31141483,31318106,31409179,31475923,31546000,31798368,31823152,31824764,31942748,32139403,32222454,32507709,32628165,32668808,32795683,33162073,33189333,33404148,33450201,33665721,33922329,33993652,34086643,34404883,34411565,34435128,34502469,34658179,34803376,35017206,35052386,35167517,35223883,35230713,35286379,35367684,35489250,35491445,35624238,35773164,35801046,35854106,35907379,36014018,36052028,36276523,36324968,36402428,36752409,36764683,36768021,36825379,36981950,37188043,37218005,37290526,37368403,37428379,37446746,37568348,37855200,38266364,38556681,38739519,38963228,39153798,39194179,39239528,39543068,39711283,40006364,40166349,40378880,40383725,40669805,40839523,40865589,40994200,41227603,41293878,41447779,41520218,41674946,41687150,41739164,41775883,41924260,41939105,41941325,41955782,42132633,42138266,42315164,42373005,42431901,42584803,42587100,42589734,42744643,42775388,42869768,43105013,43272763,43325179,43349948,43534123,43845379,43978586,44144469,44378340,44496668,44561563,44661606,45022173,45197872,45345218,45352473,45426240,45673593,45754364,45844205,45948866,46097179,46118475,46625443,46662009,47098123,47238523,47285179,47331763,47336896,47374390,47793643,47845462,47927912,48058205,48228489,48248323,48454656,48460470,48484988,48488666,48562360,48803766,48828643,49193040,49277948,49492865,49681709,49783003,49952779,49963226,50024580,50121403,50239310,50309112,50326926,50329590,50625213,50847606,50947243,50971868,50987779,51104520,51132506,51389179,51528813,51534908,51691168,51744283,51798461,51858626,52016443,52148066,52170379,52472576,52489565,52515652,52737379,52885843,52957832,52993213,53254008,53272180,53292921,53359552,53445165,53597825,53610883,53646379,53684896,53918901,54373325,54476683,54511488,54632655,54775833,54829505,54869018,55013046,55039723,55297483,55342170,55439405,55613203,55675483,55799179,55899164,55956197,56102405,56533352,56546179,56597751,56661523,56849268,56930489,56972779,57008176,57120026,57356323,57492585,57496805,57516379,57564764,57621643,57669846,57815906,58152564,58253443,58274832,58540723,58666713,58885243,58921826,58952203,58974379,59031648,59168993,59328789,59391438,59402779,59577561,59664188,59685523,59705179,59821603,59878843,59881946,59884508,59891800,59897779,59910759,59916643,60009883,60029496,60094472,60287172,60324764,60347779,60395508,60612163,60843283,60984188,61030483,61231363,61244179,61272245,61307179,61313468,61325424,61343825,61474003,61496683,61514888,61530163,61563229,61578590,61595179,61646306,61647379,61746379,61759581,61783963,61872883,61962379,61971164,61978805,62000179,62077003,62162179,62219203,62237779,62263483,62275363,62316403,62327779,62340379,62349163,62358523,62377963,62518364,62829365,62955548,62987478,63107044,63239302,63600021,63641192,63784418,63916826,63926616,64134198,64264028,64317390,64448205,64891897,65038875,65133788,65209325,65247990,65559186,65755418,65795406,65893148,66157265,66315718,66410604,66527286,66534746,66617421,66935405,67322886,67378275,67515068,67533183,67606281,67677700,67878248,68054108,68350660,68484764,68582408,68605216,68744752,68968418,68991102,68996166,69044469,69204249,69374800,69597856,69600218,69841325,70095164,70454549,70710845,70973870,71350106,71591708,71596341,71698364,71754441,71870160,71917443,72466198,72582746,72656828,73188188,73476053,73526694,73612590,73894308,74152805,74169753,74374566,74525018,74777468,74893928,75022360,75027365,75395238,75516668,75704590,75838946,76194266,76363029,76661504,76751549,77155209,77180868,77337846,77422093,77486018,77564013,77684072,78046650,78051413,78104805,78251190,78297588,78520096,78562364,79075688,79131913,79189148,79199150,79388718,79595446,79606364,79770632,79950741,80243906,80322486,80823165,80853930,80920418,81121215,81213240,81329270,81591746,81686038,81788348,81848393,82020792,82456621,82544648,82589018,83235164,83247386,83249760,83311792,83467936,83574626,83580549,83668805,83792066,83809590,84014601,84255669,84264764,84400155,84789861,84853014,85168644,85188668,85352597,85700828,86211376,86244192,86314364,86356418,86529296,86627456,86775746,87092853,87096845,87394581,87504026,87658934,87944828,87947470,88249628,88297325,88327706,88335108,88430018,88541150,88799744,88960149,88983366,89364764,89396896,89439449,89445218,89517316,89680822,89741961,89942713,90026832,90032838,90152920,90341860,90845508,91227389,91364895,91530266,91585241,91653405,91784348,92004441,92017346,92039181,92230853,92273391,92608397,92702710,92862729,92865128,92885018,93184773,93266906,93655980,93725766,93835418,93901428,93947645,94736740,95038980,95141786,95328429,95381957,95553033,95784386,96271388,96572875,96864764,96987798,97024716,97048418,97345458,97370405,97404386,97455888,97595124,97643800,97763632,97851164,98021786,98316392,98378449,98736188,98805218,99235418,99662018,99899712,99912188,...,14734820025023261158806015144647402735747302656645221771633615602998475080666644500625685110900491628149179421350958500052005049941277176102442652234206494918487355864643336847669084257913995513601488573155671990562255740582064447392273697123393057818192913389751614007339692571674335225973639395251659979385200817668762596263037270032447959903156919220382400067675443010991473394641655614320591635382536097132989683682142825907916740166729037616048026902570664764164844644740596303397218805387456456034132689153586836370411420061547170414697051176172720418616039260711129978288935435144254002282443283674122133264997629445122144005930924222521919644446328751869573393322774262681690749726646080981113338733561469382021199850906311807411097146612795931739821134853751705819656786317195606069448009144816888565182876280743040263541304354680176031140576071251293302220106023585075633059430150245886375418900392448378955147898805067778848765296679447501780957424979483187272942268727605334693451864265804325709034924714547587067179463654280511342165296786615803676854635586249525909932271339806775651043278634971769771082901226703837981296048193327556809597135752591999066460384689101784314373514705177431973455739138390457674648752502815523979045275948308929662116631368205940977786669818829510349797602213776597577546112679924788778816344918435869249927195072440902155126678626564905576398289788793500327723615764363657233799005969409006640652352674059861862001780872006661320505357302071163900589047450771963604258514775327615998954290330349757682934679685673688462704845853481701344042613789485394890256312978352018592110833093104036053609849790266927204064927803012423395119333934437481844592984713104496806189206174898340780014099793740433632240673284097225315108423861334580207391690230378189104516751469805803489400813073577186211782981502450880858101928866411015747302367718854310562457576940093216903028462688095200789502420649059504207421922191102480232066675597956850928992608338082160949860017480871465267286948707641814069538303236544986916355497318198183118836718636282050850649236457532337408493805513228713303218330274424075173371599625047567163462542678192822336279434777749515175523223721581667621358253484528610756249723776561053133697241440938489858240752657026870263644828366827110069458726437829072165930864532671389283975579956604465892354960951839174861925440396952458945233221516660399831673169383134683651194645940359606837321727226597132796091261644738370905667427363538049090072322213124}
15797  9166984270644070827864493749268980469859030902243675386355959026: {15797,126328,142119,331527,394675,473610,505184,568332,1498435,1798122,1876987,2255539,2442955,2538487,2681410,2879139,2931546,3161127,3199483,3217692,3295303,3386035,3484507,3626410,3817066,4063242,4170835,4351692,4519963,4570690,4641235,4712539,4797955,5005002,5090803,5484828,5569482,5741372,5757546,5838427,5896858,5969127,6409843,6457090,6496903,7086279,7748508,7975066,8137063,8201960,8299723,8340610,8388044,8547235,8677699,8858635,9032979,9109858,9172339,9227205,9281290,9615307,9716168,9842352,9864039,10008732,10206823,10256682,10257955,10630362,10658492,10838659,10930689,10970083,11072646,11137548,11503747,11654035,11746567,11808955,11982920,12259123,12309546,12570667,12737635,13012725,13168839,13236499,13392187,13430858,13480785,13510435,13880240,13984842,14047783,14147563,14170027,14170746,14379504,14836219,14898955,15010184,15285162,15528514,15557959,15571868,15615270,16176942,16212522,16230417,16272058,16313563,16315964,16437955,16656288,16662442,16780810,16879363,16886457,16985127,17000887,17359435,17596202,17768839,17878746,18037448,18126235,18342346,18454183,18699403,18738324,18738955,19186940,19321925,19416099,19503955,19725546,19953939,20102925,20136972,20292129,20300168,20591779,20712524,20831322,21294759,21443120,21751482,21792955,21937378,22129034,22363527,22486746,22837689,23020699,23024328,23186310,23305090,23308520,23347772,23404746,23583043,23924263,23926154,23960199,24123510,24732064,25138138,25387388,25587955,25707722,25731744,25861267,25902369,25981004,26016823,26151546,26222085,26340627,26352392,26469634,26920843,26948035,26991283,27187725,27249835,27392979,27602750,27655527,27823572,27845258,27865448,27867307,27966108,27970224,28585207,28617105,28692103,28948212,29000240,29038363,29207635,29589320,29646441,29668666,29778188,30096307,30130737,30238826,30452954,30524912,30529299,30705546,30730183,30858955,31348629,31458235,31466502,31784347,31859143,32206435,32337642,32625270,32699802,33102955,33119139,33123300,33252235,33287985,33353960,33555548,33998035,34180220,34334587,34340526,34800288,34847626,34850323,35049162,35187932,35331520,35337955,35486635,35507184,35869925,36077738,36432547,36453639,36674635,36959683,37030746,37115720,37124599,37166890,37511047,37523205,37749882,38451452,38451835,38556487,38647722,38850823,38945383,38958106,39150324,39432500,39548138,39599324,39723546,39747960,39778940,39780955,39902682,39928435,39945582,40024752,40119643,40352359,40467499,40507527,40702939,40713523,40797642,40836010,41016264,41419784,41755185,41936923,41988362,42397824,42405546,42492065,42583962,42963272,43013127,43043910,43343612,43504220,44009562,44020473,44082523,44209605,44245699,44252444,44257827,44538864,44600268,44716455,44887628,45027846,45065035,45229772,45406210,45503035,45704887,45888643,45900187,45913504,46003292,46142202,46143297,46338103,46597257,46689608,46939219,46960435,46974284,46977159,47103979,47132359,47156912,47160058,47319000,47473843,47498984,47697552,47734728,47737146,47832955,47880199,47914122,48333681,48596083,48704035,49003212,49024028,49049410,49385767,49428835,49466683,49882154,49933939,50007955,50106222,50473600,50703139,50990478,51242750,51408908,51604603,51652692,51875707,52173955,52187467,52205064,52320823,52405325,52525809,52578579,52582663,52710523,52893955,53051526,53233875,53273539,53436357,53469235,53555132,53587210,53659746,53701569,53781159,53825527,54021027,54078042,54187435,54487452,54578599,54603642,55058504,55472925,55620835,55686043,55846003,55929799,55935789,56170119,56176844,56352522,56497340,56533802,56575868,56782800,56786312,57011098,57168883,57192955,57399546,57605803,57792794,58186423,58319683,58444842,58730697,58859292,58930663,59171120,59314602,59393467,59548808,59909890,59946487,60009546,60009607,60029564,60151658,60469964,60540043,60568320,60606235,60631099,60702950,60898124,60921223,61116967,61491300,61597435,61940817,61947463,62076379,62216012,62280327,62512419,62530725,62557339,62608746,62886390,62933673,63000499,63143083,63207399,63239539,63472746,63714835,63739507,63880650,63884601,64163082,64206202,64304652,64418635,64606208,64613960,64892714,65024922,65071688,65420107,65509963,65532187,65590720,65629063,65644565,65967879,66193322,66197290,66376363,66567510,66590225,66699440,66745002,66992409,67071463,67078816,67102568,67106120,67489699,67500284,67796808,67973563,68017827,68139360,68456119,68631546,68652163,68705084,68892739,68923299,69164059,69181123,69191227,69691738,69799303,69873955,69926443,70666690,70931803,71005344,71057228,71061585,71260220,71768193,71891868,71955955,71991847,72226567,72474019,72681984,72690705,72727482,72732999,72807466,72843540,72855778,72897818,73034444,73205649,73350728,73418306,73789560,73916922,74048263,74285803,74556067,74580235,74855635,74864750,74944839,75036870,75118090,75358965,75405955,75434954,75463668,75490389,75494385,75497962,75522074,75555643,75713134,75747127,75753763,75799024,75999619,76230235,76271409,76457802,76641835,76656780,76681579,76698759,76893128,76893610,77058883,77302362,77463955,77536752,77699776,77787939,78147955,78222099,78222284,78668647,78693703,78694435,78708864,78773478,78883805,79105052,79176514,79188584,79436748,79551490,79714426,79761079,79881012,79908270,80039328,80128843,80191579,80330035,80382896,80441227,80527344,80626442,80652583,80753587,81256987,81380203,81417235,81767232,81956743,82172899,82299907,82303527,82346108,82366435,82519569,82738483,83013255,83284219,83736979,83848746,83910343,83983304,84393835,84597125,84800028,84847810,84947563,85067635,85235488,85273902,85384219,85438325,85512264,85535923,85543178,85605955,85680039,85728010,85756520,85930940,86026843,86347146,86504769,86718500,86723859,86997320,87012967,87228846,87412248,87618955,87727208,87731923,87764023,87789658,87807223,87808039,88382739,88472947,88547472,88703048,88823228,89087157,89489635,89496282,89513443,89622955,89763848,89822919,89826762,89837700,89848699,90044244,90141708,90211082,90430758,90487146,90593262,90821035,91306426,91394503,91476282,91485235,91659434,91970202,91988136,91994888,92059292,92184199,92272332,92367885,92469459,92577427,92956746,93121603,93182954,93267283,93446969,93471835,93617410,93777546,93777950,93826039,94221338,94252666,94334954,94395835,94433322,94481217,94660566,94768819,94858953,94883383,95079883,95243203,95343163,95461788,95672588,95676627,95826880,95875239,95889924,96161707,96166183,96201297,96396042,96476085,97105090,97379906,97700682,97871985,98035592,98081482,98087738,98139943,98150120,98202955,98338779,98394247,98432762,98525744,98633127,98693109,98731387,98839722,98844610,98893004,98986435,99103939,99166088,99228643,99473577,99507955,99615906,99713290,99790929,99802119,...,22102230037534891738209022716971104103620953984967832657450423404497712620999966750938527666350737442223769132026437750078007574911915764153663978351309742377731033796965005271503626386870993270402232859733507985843383610873096671088410545685089586727289370084627421011009538857511502838960459092877489969077801226503143894394555905048671939854735378830573600101513164516487210091962483421480887453073804145699484525523214238861875110250093556424072040353855997146247266967110894455095828208081184684051199033730380254555617130092320755622045576764259080627924058891066694967433403152716381003423664925511183199897496444167683216008896386333782879466669493127804360089984161394022536124589969121471670008100342204073031799776359467711116645719919193897609731702280627558729485179475793409104172013717225332847774314421114560395311956532020264046710864106876939953330159035377613449589145225368829563128350588672568432721848207601668273147945019171252671436137469224780909413403091408002040177796398706488563552387071821380600769195481420767013247945179923705515281953379374288864898407009710163476564917952457654656624351840055756971944072289991335214395703628887998599690577033652676471560272057766147960183608707585686511973128754223285968567913922463394493174947052308911466680004728244265524696403320664896366319169019887183168224517377653803874890792608661353232690017939847358364597434683190250491585423646545485850698508954113509960978529011089792793002671308009991980758035953106745850883571176157945406387772162991423998431435495524636524402019528510532694057268780222552016063920684228092335384469467528027888166249639656054080414774685400390806097391704518635092679000901656222766889477069656745209283809262347511170021149690610650448361009926145837972662635792001870311087535345567283656775127204708705234101219610365779317674472253676321287152893299616523620953551578281465843686365410139825354542694032142801184253630973589256311132883286653720348100013396935276393488912507123241424790026221307197900930423061462721104307454854817480374533245977297274678255077954423076275973854686298506112740708269843069954827495411636112760057399437571350745193814017289233504419152166624272763284835582372501432037380226792916134374585664841579700545862161407734787361128985540305395467242550240665104188089656743608248896296799007083925963369934906698838532441427758762292888160595428688417849832274990599747509754074702025476791968910539410255982590839895699194136892467107556358501141045307073635108483319686}
15798  9207358607527759015111802721743450338292442775906732889513964325: {110537,157910,173657,189492,442036,488777,583157,631480,710415,725558,757776,852498,914486,928601,959957,1053977,1116617,1480406,1856966,1990217,2052377,2145557,2331701,2362697,2397496,2455637,2697183,2795801,2980937,3073397,3544358,3565301,3718601,3838852,3908728,3994037,4022115,4207817,4214836,4290256,4397319,4662806,4826538,5119577,5210357,5220086,5361497,5417656,5439615,5542601,5725599,5802256,6094863,6114197,6473717,6527538,6673336,6742601,6856035,6891701,7068326,7159577,7176715,7313104,7337801,7425976,7507503,7515737,7634201,7676728,7782101,7958836,7959317,8227242,8353526,8354223,8489237,8501647,8612058,8636319,8694617,8845287,9104201,9448372,9685635,9976601,10005557,10236917,10252450,10331344,10438937,10485055,10902758,11622762,11806358,11962599,12043972,12145210,12302940,12409301,12510915,12582066,12832601,12885926,13123136,13133911,13152052,13323115,13344976,13506137,13562057,13664787,13673801,13675576,13813301,13921935,14063897,14173816,14317286,14341577,14397017,14480117,14574252,14763528,14850064,14978650,15013098,15059801,15224777,15334601,15385023,15499097,15562166,15635957,15782767,15945543,15987738,16412728,16561301,16608969,16706322,17128217,17152358,17328326,17350300,17558452,17762647,17974380,18011957,18171701,18464319,18569801,18646456,18762730,18894328,19097801,19172672,19464835,19602806,19648757,19727177,19950566,20146287,20274101,20380216,20394955,20533301,20817497,20820360,20977263,21075017,21256119,21569256,21616696,21640556,21680726,22071701,22208384,22368758,22515276,22546810,22646836,22729397,22927743,22980917,23058343,23292771,23357802,23422905,23838328,23983675,24265413,24318783,24382267,24408087,24473237,24473946,24547097,24758726,24984432,24993663,25037657,25062101,25097846,25171215,25208597,25375210,25573577,25605446,25888132,25890655,26009177,26129717,26300728,26394303,26605252,26709298,26803900,26818119,26849296,27056172,27513519,27584201,27622886,27775096,27796277,28054601,28107486,28290758,28393012,28405301,28614857,28638101,28780410,28893257,29001976,29101301,29122358,29135650,29184715,29299699,29588319,29675801,29818036,29950358,29982328,29995337,30154517,30205458,30450252,30699104,30915080,30939206,31068786,31168457,31206328,31246983,31502837,31569497,31680437,31734235,31901717,31945877,31946932,32144201,32164680,32249606,32341877,32476255,32627223,32800601,32887577,32906067,32940490,33193551,33578777,33664601,33730119,33771701,33857237,34036358,34091801,34308992,34536492,34536917,34779465,34810697,34831810,34868728,34957635,34962780,35021658,35062217,35107119,35120836,35124917,35250101,35354201,35871701,35889231,36185265,36242311,36250300,36282101,36302537,36363797,36523972,36587801,36604166,36874036,36972437,36986650,37081526,37098096,37193801,37222735,37274057,37288144,37293632,37494101,37592863,37707207,37874246,37970837,38081082,38089301,38156140,38384201,38561583,38597616,38794037,38971506,39227319,39450101,39528588,39605558,39704451,40174316,40191257,40398101,40510517,40542566,40585301,40705732,40790297,40846037,40853407,40864601,40940728,40975817,41009126,41252597,41262298,41307737,41404125,41417801,41561611,41673497,41692450,41735358,41767887,41798172,41800757,41944435,41949162,41955336,42054101,42216137,42708758,42725275,42769301,43116856,43192277,43297301,43422318,43454297,43500360,43541237,43558601,43599736,43662617,43984915,44158852,44164400,44229557,44238758,44383980,44502999,44667282,44686937,44737397,44770997,44988617,45271157,45358239,45679431,45787368,45905126,46058319,46314101,46356566,46394650,46400384,46490057,46649177,46732216,46933577,47199753,47339801,47342912,47355317,47801801,47954201,48064315,48149366,48176191,48506463,48540917,48604852,48718997,48792857,48851801,48937905,49049703,49231817,49290625,49374328,49499155,49584106,49635017,49684950,49688023,49723675,50030940,50068166,50333176,50333322,50477897,50711477,50969801,51158297,51270330,51510789,51530296,51648917,51753557,51766601,51774730,51831701,52025801,52105207,52200432,52271439,52345301,52484297,52540646,52573743,52781898,52964728,52997280,53116358,53164757,53203576,53260776,53334101,53366336,53454101,53585177,53620757,53703497,53704090,53797577,53984201,54010036,54042101,54116607,54179515,54328601,54380275,54396856,54486857,54598937,54688352,54820697,54930377,54952217,55093397,55113206,55158101,55275977,55315555,55546119,55623797,55673580,55750335,56101046,56109535,56144201,56184137,56352437,56528117,56530432,56537215,56540728,56624823,56767817,56778616,56786777,56937727,57221366,57286601,57322697,57350836,57367637,57376601,57391880,57500006,57504115,57677178,57719957,57950537,57971583,58191701,58224437,58265177,58273301,58362010,58386197,58437159,58505417,58552601,58679416,58693964,58714747,58715477,58717855,58725486,58738457,58814537,58829657,58897301,58946140,59010436,59081801,59148750,59161397,59232917,59322207,59373730,59385152,59398986,59467024,59497397,59544857,59585319,59621940,59665097,59668410,59763317,59795657,59840597,59854023,59918373,59954357,60022601,60028757,60037128,60047177,60083801,60209717,60227417,60291701,60495317,60630617,60646517,60704201,60798758,60801557,60861557,60930101,61166537,61196463,61216363,61245017,61249301,61254015,61280035,61308437,61333301,61418057,61475558,61491701,61510601,61514357,61522936,61524396,61525577,61544117,61569737,61619801,61685237,61721801,61770101,61788917,61801301,61834697,62014406,62031797,62071577,62093897,62113301,62129676,62156057,62219477,62224457,62240537,62257301,62279957,62282966,62290517,62298101,62308937,62346677,62349257,62361077,62374601,62382101,62393801,62539279,62636212,62818358,62951846,62982543,63092000,63596736,63608319,63646304,63649528,63875943,63885496,64181887,64261135,64278806,64444908,64565865,65015418,65256330,65337616,65591366,66014343,66130051,66324146,66378666,66808296,66900402,66943915,67281487,67331442,67541769,67844658,67987304,68109315,68173286,68809766,68823130,68870256,69004938,69213303,69290011,69316358,69606752,70034412,70104772,70221055,70335034,70447766,70461426,70463503,70572758,70621675,70719835,70735368,70740087,70978500,70982890,71248476,71546328,71602092,71605719,71708212,71814758,71871183,72028036,72104056,72553046,72649936,72804856,73485391,73504818,73529366,73536042,73574115,73650758,73963900,74376086,74436010,74581052,74736806,74823231,74856758,74893492,75036955,75136696,75159333,75587455,75710400,76122655,76485717,76532728,76761307,76864125,77113362,77479038,77615167,77770015,77926456,78307596,78388358,78479056,78543367,79086136,79422566,79577289,80012728,80332698,80380815,80489619,80495527,80757760,80767450,81117063,81339610,81679046,81731178,81858799,81905463,81988400,82455206,82587756,82895558,83040436,83264467,83349892,83374300,83478328,83551766,83848520,83878210,83882650,83911564,84265266,84276532,84375355,84528783,84630328,84746010,84800703,84863802,85169606,85174200,85179468,85489286,85516647,85550776,85739536,85781143,85881355,86099319,86210026,86545526,86650358,86689191,86699896,86770327,87068246,87667263,87690758,87957172,87961111,88288938,88756680,88821535,88971903,88993336,89075275,89123126,89323212,89864835,90014319,90044346,90227487,90395744,90690436,90704946,90852480,91054425,91238983,91293055,91347186,91508728,91688410,91897732,92194358,92236950,92242579,92620171,93250886,93324018,93709567,93913119,94196246,94329585,94477046,94570358,94663526,94673792,94748780,95209119,95394079,95587286,95690924,95820975,95855824,96116410,96244623,96309303,96456978,96496646,96729919,96909312,96920940,96969976,96977332,97124720,97339071,97537383,97607532,97657286,97777855,98386080,98555896,98881315,98985730,98995183,99289983,99295935,99363418,99566006,99851265,99905558,99926452,...,33153345056302337607313534075456656155431430977451748986175635106746568931499950126407791499526106163335653698039656625117011362367873646230495967526964613566596550695447507907255439580306489905603349289600261978765075416309645006632615818527634380090934055126941131516514308286267254258440688639316234953616701839754715841591833857573007909782103068245860400152269746774730815137943725132221331179610706218549226788284821358292812665375140334636108060530783995719370900450666341682643742312121777026076798550595570381833425695138481133433068365146388620941886088336600042451150104729074571505135497388266774799846244666251524824013344579500674319200004239691706540134976242091033804186884953682207505012150513306109547699664539201566674968579878790846414597553420941338094227769213690113656258020575837999271661471631671840592967934798030396070066296160315409929995238553066420174383717838053244344692525883008852649082772311402502409721917528756879007154206203837171364120104637112003060266694598059732845328580607732070901153793222131150519871917769885558272922930069061433297347610514565245214847376928686481984936527760083635457916108434987002821593555443331997899535865550479014707340408086649221940275413061378529767959693131334928952851870883695091739762420578463367200020007092366398287044604980997344549478753529830774752336776066480705812336188912992029849035026909771037546896152024785375737378135469818228776047763431170264941467793516634689189504006962014987971137053929660118776325356764236918109581658244487135997647153243286954786603029292765799041085903170333828024095881026342138503076704201292041832249374459484081120622162028100586209146087556777952639018501352484334150334215604485117813925713893521266755031724535915975672541514889218756958993953688002805466631303018350925485162690807063057851151829415548668976511708380514481930729339949424785431430327367422198765529548115209738031814041048214201776380446460383884466699324929980580522150020095402914590233368760684862137185039331960796851395634592194081656461182282226220561799868965945912017382616931634614413960782029447759169111062404764604932241243117454169140086099156357026117790721025933850256628728249936409144927253373558752148056070340189374201561878497262369550818793242111602181041693478310458093200863825360997656282134485115412373344445198510625888945054902360048257798662141638143439332240893143032626774748412485899621264631112053038215187953365809115383973886259843548791205338700661334537751711567960610452662724979529}
15799  9247909371281460927026709363663296349488933184093084542558963828: {31594,236865,252656,284238,552545,663054,789350,947220,1010368,1088337,1136664,1278747,1371729,2097809,2220609,2665637,2785449,2996870,3420137,3596244,3753974,3894449,4511078,4740449,4798565,4885910,5076974,5268545,5316537,5362820,5689721,5758278,5839169,5863092,6322254,6398966,6435384,6497729,6590606,6717137,6772070,6969014,6994209,7239807,7252820,7575269,7634132,7830129,8126484,8341670,8703384,9039926,9141380,9276161,9282470,9425078,9595910,9616529,9791307,9948545,10010004,10181606,10552817,10602489,10840037,10969656,11138964,11482744,11505209,11515092,11676854,11793716,11810465,11938254,11966129,12062609,12260681,12340863,12402089,12530289,12819686,12857129,12914180,12918087,12993806,13393889,14049569,14149361,14172558,14361137,15054965,15123257,15378675,15497016,15559937,15837089,15950132,16274126,16315649,16354137,16403920,16440065,16532537,16599446,16681220,16776088,16881509,17094470,17355398,17434143,17709537,17717270,17832689,18043457,18065958,18217815,18219716,18344678,18454410,18562580,18799121,18873099,18914609,19230614,19328889,19432336,19611569,19684704,19728078,19989017,20017464,20413646,20513364,20515910,20858537,20999537,21260724,21316984,21475929,21677318,21687875,21809489,21861378,21878417,21940166,21948065,22145292,22275096,22467975,22519647,23007494,23013137,23308070,23343249,23493134,23617910,23927321,23965840,23981607,24303209,24518246,24619092,25059483,25141334,25376729,25475270,25728537,25992489,26025450,26234537,26337678,26472998,26784374,26861716,26961570,27020870,27050695,27305537,27453929,27760480,27870869,27969684,28095566,28144095,28274129,28295126,28308545,28340054,28341492,28759008,28903769,29404209,29672438,29797910,29925849,30020368,30088001,30510137,30570324,31057028,31073537,31115918,31143736,31230540,31898789,32353884,32360165,32425044,32454641,32460834,32521089,32544116,32627126,32631928,32875910,33256565,33312576,33324884,33504875,33553137,33561620,33637049,33758726,33772914,33820215,33908849,33970254,34001774,34718870,34979849,35036703,35192404,35491265,35537678,35757492,35823137,36074896,36252470,36317489,36684692,36710919,36908366,36964409,37138089,37272545,37398806,37476648,37477910,37646769,37727249,38062815,38149769,38373880,38408169,38643850,38832198,38950361,39007910,39193121,39277169,39451092,39907878,39933665,40063947,40205850,40273944,40584258,40600336,40718729,40890689,41183558,41307881,41425048,41434329,41662644,42161229,42436137,42589518,42886240,43170615,43202537,43258361,43280249,43502964,43585910,43683537,43703475,43874756,43901045,44041529,44258068,44727054,44839601,44925537,44973492,45089009,45308187,45312875,45654965,45675378,45710729,45841409,45914609,46041398,46048656,46092545,46344137,46372620,46408809,46553129,46603179,46610180,46617040,46695544,46797329,46809492,47122697,47166086,47262017,47597249,47695175,47848526,47852308,47920398,48004277,48150209,48247020,48374409,49053377,49228937,49410735,49464128,49473137,49504421,49681289,50217895,50276276,50774776,50784281,50882165,51054537,51175910,51300209,51344489,51415444,51463488,51722534,51804738,51947537,51962008,52033646,52247715,52303092,52444170,52532487,52681254,52704784,52717289,52939268,53059001,53794649,53832569,53841686,53896070,53982566,54375450,54499670,54785958,54906249,55198565,55205500,55311054,55479975,55622289,55647144,55676129,55690516,55693337,55730896,55734614,55899809,55932216,55940448,56400209,56428721,56811369,57121623,57170414,57234210,57276857,57384206,57613169,57896424,58000480,58076726,58327169,58415270,58457259,58525157,58911761,58984169,59012837,59178640,59270321,59292882,59337332,59408337,59488891,59556376,59957609,60192614,60261474,60477652,60756065,60813849,60905908,61049824,61058598,61411092,61460366,61513689,61578617,61717910,61893447,62283797,62416121,62538675,62603037,62697258,62916470,62923743,62933004,62959637,63091049,63568694,63671477,63704249,63718286,64047377,64063137,64412870,64675284,65133477,65250540,65399604,65428469,65597729,65744609,66205910,66238278,66246600,66358137,66504470,66575970,66707920,66966137,67000923,67111096,67212497,67345361,67477769,67512545,67662401,67853777,67996070,68185649,68360440,68395601,68669174,68681052,68857689,69172937,69200369,69534849,69591975,69600576,69645329,69695252,69700646,69935381,70011137,70098324,70375864,70571681,70663040,70675910,70973270,71014368,71459177,71688545,71739850,71997809,72001049,72144161,72155476,72224049,72865094,72907278,72995921,73043537,73337489,73349270,73367455,73682675,73763045,73774289,73919366,74051537,74061492,74120321,74231440,74249198,74333780,74376159,74499377,74527425,74737637,74856929,75022094,75046410,75102249,75499764,75499983,75756809,75862409,76009337,76902904,76903670,76905495,77068937,77112974,77295444,77662095,77701646,77869169,77890766,77916212,78295265,78300648,78810969,78865000,79096276,79172847,79198648,79276721,79447092,79495920,79557880,79561910,79674537,79805364,79856870,79891164,80049504,80070137,80139089,80239286,80451509,80556135,80704718,80766377,80934998,81015054,81405878,81427046,81595284,81672020,81759509,82032528,82669809,82839568,83327369,83510370,83873846,83921321,83976724,84151569,84795648,84811092,84848729,84958421,84984130,85167924,85349969,85395137,85832049,85926544,86026254,86087820,86236409,86250009,86515767,86687224,86942777,87008440,87024089,87543015,87630965,87775241,88019124,88040946,88088229,88165046,88419210,88491398,88504888,88515654,88723125,89012681,89060595,89077728,89098479,89200536,89200769,89432910,89502615,89524889,89635265,89775256,90035045,90055692,90130070,90186089,90236249,90254009,90459544,90812420,91006070,91069589,91198137,91409774,91705097,91777286,91800374,91827008,91902391,91982249,92006584,92011529,92213337,92284404,92286594,92454875,92547797,92676206,93001649,93021609,93194514,93226315,93279209,93379216,93424449,93616865,93878438,93920870,93948568,93954318,94207958,94227537,94264718,94313824,94320116,94427769,94638000,94780937,94947686,94997968,95205521,95316689,95395104,95469456,95474292,95577977,95665910,95760398,95828244,96045161,96418209,96622937,96667362,96857969,97192166,97408070,97523127,97615481,97823537,97884495,98006424,98048056,98098820,98387049,98771534,98857670,98881529,98933366,99166769,99486219,99567999,99764308,99867878,99994049,...,44204460075069783476418045433942208207241907969935665314900846808995425241999933501877055332701474884447538264052875500156015149823831528307327956702619484755462067593930010543007252773741986540804465719467015971686767221746193342176821091370179173454578740169254842022019077715023005677920918185754979938155602453006287788789111810097343879709470757661147200203026329032974420183924966842961774906147608291398969051046428477723750220500187112848144080707711994292494533934221788910191656416162369368102398067460760509111234260184641511244091153528518161255848117782133389934866806305432762006847329851022366399794992888335366432017792772667565758933338986255608720179968322788045072249179938242943340016200684408146063599552718935422233291439838387795219463404561255117458970358951586818208344027434450665695548628842229120790623913064040528093421728213753879906660318070755226899178290450737659126256701177345136865443696415203336546295890038342505342872274938449561818826806182816004080355592797412977127104774143642761201538390962841534026495890359847411030563906758748577729796814019420326953129835904915309313248703680111513943888144579982670428791407257775997199381154067305352943120544115532295920367217415171373023946257508446571937135827844926788986349894104617822933360009456488531049392806641329792732638338039774366336449034755307607749781585217322706465380035879694716729194869366380500983170847293090971701397017908227019921957058022179585586005342616019983961516071906213491701767142352315890812775544325982847996862870991049273048804039057021065388114537560445104032127841368456184670768938935056055776332499279312108160829549370800781612194783409037270185358001803312445533778954139313490418567618524695022340042299381221300896722019852291675945325271584003740622175070691134567313550254409417410468202439220731558635348944507352642574305786599233047241907103156562931687372730820279650709085388064285602368507261947178512622265766573307440696200026793870552786977825014246482849580052442614395801860846122925442208614909709634960749066491954594549356510155908846152551947709372597012225481416539686139909654990823272225520114798875142701490387628034578467008838304333248545526569671164745002864074760453585832268749171329683159401091724322815469574722257971080610790934485100481330208376179313487216497792593598014167851926739869813397677064882855517524585776321190857376835699664549981199495019508149404050953583937821078820511965181679791398388273784934215112717002282090614147270216966639372}
15800  9288637326798280943478145641316768353141809807570299689063712408: {47391,205231,221074,315820,347314,378984,426357,884072,960079,977554,994581,1054111,1148071,1166314,1184025,1262960,1420830,1451116,1515552,1704996,1828972,1857202,1919914,2107954,2176879,2233234,2362999,2455951,2827039,2960812,3012151,3104599,3713932,3749719,3980434,4104754,4291114,4495305,4663402,4725394,4756351,4794992,4911274,5392399,5394366,5591602,5630961,5754271,5961874,6146794,6294919,6703525,6743479,6766617,7088716,7130602,7328865,7437202,7457431,7615461,7677704,7817456,7988074,7989871,8044230,8255119,8415634,8429672,8580512,8637417,8794638,9066025,9134599,9222151,9309631,9325612,9483381,9542665,9598449,9653076,9885909,10006879,10047401,10158105,10239154,10420714,10440172,10453521,10699519,10722994,10835312,10879230,10958071,11085202,11130079,11426725,11451198,11558839,11604512,11815231,12189726,12228394,12512505,12749791,12947434,13055076,13087471,13346672,13485202,13559889,13712070,13783402,13923705,14136652,14137617,14319154,14353430,14393865,14626208,14675602,14679077,14742145,14851952,15015006,15031474,15089359,15254311,15268402,15272409,15353456,15564202,15665431,15747439,15917672,15918634,15993031,16142725,16400911,16454484,16707052,16708446,16978474,17003294,17130559,17224116,17272638,17389234,17515281,17690574,17907381,18014431,18174199,18208402,18652361,18810391,18896744,19126759,19229529,19371270,19490709,19912639,19937665,19953202,20011114,20146999,20473834,20504900,20662688,20846191,20851525,20877874,20923519,20970110,20985877,21258837,21805516,22074799,22454959,22774645,23059471,23203225,23245524,23434951,23612716,23883151,23925198,24087944,24290420,24411189,24605880,24818602,24899169,25021830,25065679,25164132,25212199,25641705,25665202,25771852,26012911,26033097,26157559,26246272,26267822,26304104,26575905,26646230,26689952,27012274,27098937,27124114,27250769,27329574,27347602,27351152,27517017,27517351,27626602,27681615,27729679,27843870,28127794,28347632,28552937,28634572,28642279,28683154,28794034,28845921,28920631,28960234,29128639,29148504,29527056,29592117,29700128,29954191,29957300,30026196,30119602,30449554,30620469,30669202,30770046,30773865,30904231,30998194,31124332,31271914,31565534,31891086,31972711,31975476,32038879,32420377,32515977,32792067,32825456,32910249,32957671,33122602,33217938,33282391,33412644,33577145,33798199,34256434,34304716,34499911,34511241,34626917,34656652,34700600,34962105,35116904,35239701,35426865,35442751,35525294,35948760,36023914,36062311,36246917,36308119,36343402,36369391,36735511,36777369,36928638,37139602,37292912,37525460,37712001,37788656,38114959,38195602,38212905,38345344,38409799,38585839,38761231,38821285,38929670,38994079,39038175,39167959,39205612,39297514,39454354,39506517,39709497,39901132,39970831,40141039,40176561,40197631,40292574,40442355,40479511,40531305,40548202,40680145,40760432,40789910,40815391,40858601,40871119,41066602,41369431,41634994,41640720,41643751,41656105,41952025,41954526,42078919,42143349,42150034,42442689,42510081,42512238,42669751,43041199,43138512,43146679,43233392,43281112,43361452,43461391,43565719,43990505,44143402,44236831,44287951,44416768,44427929,44508657,44694319,44696865,44737516,44996071,45030552,45093620,45293672,45458794,45466757,45542551,45855486,45855865,45961834,45983191,46116686,46225471,46585542,46673877,46715604,46845810,46941511,47363359,47641351,47676656,47962399,47967350,48053479,48530826,48637566,48691251,48764534,48816174,48940689,48946474,48947892,49094194,49254871,49313865,49428391,49517452,49857151,49899631,49968864,49987326,50075314,50124202,50195692,50342430,50417194,50486791,50638089,50659371,50734111,50750420,50938231,50955381,51002661,51147154,51180799,51210892,51261079,51539791,51775879,51776264,51781310,51853999,52018354,52078305,52111829,52259434,52354759,52601456,52788606,52880431,53174479,53210504,53306517,53418596,53463919,53606911,53607800,53636238,53698592,53819239,54063679,54112344,54378705,54440671,54642631,54843445,55027038,55168402,55245772,55263241,55297111,55322585,55362549,55550192,55592554,55769071,55892191,56098209,56109202,56214972,56216865,56314039,56373151,56548759,56581516,56778871,56786024,56810602,56920351,57225271,57229714,57276202,57306919,57387919,57521479,57560820,57574399,57786514,57962119,57965775,58003952,58112671,58202602,58211599,58244716,58248297,58262725,58271300,58285039,58369430,58511865,58599398,58722209,59050111,59093959,59176638,59245159,59350999,59351602,59516599,59636072,59815385,59861817,59900716,59964656,59967031,59990674,60041479,60059911,60096559,60150991,60308775,60309034,60310399,60396439,60410916,60769039,60876387,60900504,60904471,60948319,60991519,61048111,61184551,61262959,61351159,61398208,61423951,61528279,61578881,61594591,61668679,61719439,61775337,61830160,61860919,61878412,61887271,61946239,61970431,62088511,62128039,62137572,62170879,62241079,62255551,62278231,62314519,62332159,62336914,62341879,62369599,62384719,62397679,62408911,62409271,62412656,62493966,62845345,63005674,63138994,63360874,63468470,63803434,63884277,63891754,63893864,64269305,64288402,64329360,64499212,64683754,64952510,65254446,65378865,65601202,65775154,65812134,65880980,66174085,66387102,67090581,67157554,67290041,67329202,67460238,67543402,67714474,67736449,68072716,68183602,68513067,68617984,69006875,69062097,69072984,69073834,69298817,69558930,69613145,69621394,69663620,69737456,69915270,69925560,70043316,70124434,70214238,70241672,70249834,70500202,70708402,70749129,71743402,71772789,71778462,71880597,72370530,72484622,72500600,72564202,72605074,72727594,73047944,73175602,73208332,73748072,73910057,73944874,73973300,74163052,74171665,74196192,74387602,74445470,74548114,74576288,74587264,74988202,75185726,75414414,75597065,75748492,75851321,75941674,76132385,76162164,76178602,76312280,76763865,76768402,77123166,77195232,77374837,77441777,77583801,77588074,77707107,77943012,78050469,78071257,78454638,78553349,78666255,78900202,79021881,79057176,79152101,79211116,79408902,80348632,80382514,80505761,80762529,80796202,80844105,80973849,81021034,81085132,81170602,81411464,81563175,81580594,81692074,81706814,81729202,81749505,81881456,81951634,82018252,82178937,82204997,82505194,82524596,82615474,82808250,82835602,82966581,83123222,83275049,83346994,83384900,83470716,83535774,83596344,83601514,83601921,83888870,83898324,83910672,84108202,84432274,85417516,85450550,85538602,85755621,85792049,85851315,86076309,86233712,86384554,86594602,86844636,86908594,87000720,87082474,87115089,87117202,87119065,87199472,87325234,87622905,87969830,88317704,88328800,88459114,88477516,88767960,88939323,89005998,89334564,89373874,89462197,89474794,89541994,89965589,89977234,90194345,90288921,90392211,90542314,90716478,91358862,91574736,91587897,91810252,92116638,92190549,92576865,92628202,92713132,92789300,92800768,92917225,92980114,93298354,93464432,93721481,93867154,94045887,94374705,94399506,94679602,94685824,94710634,95353041,95577429,95603602,95908402,96128630,96298732,96352382,96619305,96742217,97012926,97081834,97209704,97395265,97437994,97585714,97703602,97875810,98099406,98309477,98403461,98463634,98581250,98748656,98870345,98998310,99007769,99168212,99270034,99308865,99357417,99369900,99376046,99447350,99756705,99863955,...,66306690112604675214627068150913312310862861954903497972351270213493137862999900252815582999052212326671307396079313250234022724735747292460991935053929227133193101390895015814510879160612979811206698579200523957530150832619290013265231637055268760181868110253882263033028616572534508516881377278632469907233403679509431683183667715146015819564206136491720800304539493549461630275887450264442662359221412437098453576569642716585625330750280669272216121061567991438741800901332683365287484624243554052153597101191140763666851390276962266866136730292777241883772176673200084902300209458149143010270994776533549599692489332503049648026689159001348638400008479383413080269952484182067608373769907364415010024301026612219095399329078403133349937159757581692829195106841882676188455538427380227312516041151675998543322943263343681185935869596060792140132592320630819859990477106132840348767435676106488689385051766017705298165544622805004819443835057513758014308412407674342728240209274224006120533389196119465690657161215464141802307586444262301039743835539771116545845860138122866594695221029130490429694753857372963969873055520167270915832216869974005643187110886663995799071731100958029414680816173298443880550826122757059535919386262669857905703741767390183479524841156926734400040014184732796574089209961994689098957507059661549504673552132961411624672377825984059698070053819542075093792304049570751474756270939636457552095526862340529882935587033269378379008013924029975942274107859320237552650713528473836219163316488974271995294306486573909573206058585531598082171806340667656048191762052684277006153408402584083664498748918968162241244324056201172418292175113555905278037002704968668300668431208970235627851427787042533510063449071831951345083029778437513917987907376005610933262606036701850970325381614126115702303658831097337953023416761028963861458679898849570862860654734844397531059096230419476063628082096428403552760892920767768933398649859961161044300040190805829180466737521369724274370078663921593702791269184388163312922364564452441123599737931891824034765233863269228827921564058895518338222124809529209864482486234908338280172198312714052235581442051867700513257456499872818289854506747117504296112140680378748403123756994524739101637586484223204362083386956620916186401727650721995312564268970230824746688890397021251777890109804720096515597324283276286878664481786286065253549496824971799242529262224106076430375906731618230767947772519687097582410677401322669075503423135921220905325449959058}
15801  9329543242261429555416115653339258990519831982596918265961833546: {63188,331611,394775,473730,505312,520971,568476,773563,1105090,1326108,1466331,1578700,1749471,1813895,1894440,2020736,2131245,2176674,2273328,2286215,2557494,2743458,2785803,2879871,2949551,3161931,3349851,3701015,3989051,4195618,4441218,4556663,4642415,5027759,5331274,5570898,5970651,5993740,6157131,6162551,6436671,6717991,6840274,6995103,7088091,7102799,7192488,7366911,7375963,7507948,7788898,8091549,8387403,8860895,8942811,9022156,9174671,9220191,9480898,9597130,9771820,10153948,10209419,10504583,10537090,10633074,10695903,10725640,11155803,11379442,11516556,11657015,11678338,11726184,11982111,12066345,12471511,12573863,12623451,12644508,12797932,12858763,12870768,12995458,13050215,13181212,13191957,13434274,13544140,13927963,13938028,13988418,14173631,14479614,14505640,14839991,15125179,15150538,15268264,15358731,15631071,15660258,16084491,16252968,16318845,16534651,16627803,16683340,17005211,17176797,17406768,17670815,18045751,18079852,18282760,18284589,18342591,18458891,18552322,18564940,18704159,18850156,19191820,19233058,19421151,19582614,19897090,20020008,20227803,20363212,20568105,20675103,20883815,20964091,21076951,21105634,21204978,21478731,21530145,21530263,21680074,21939312,22013403,22217143,22277928,22522509,22547211,22902603,22965488,23010418,23016091,23030184,23346303,23353708,23587432,23620930,23876508,23877951,23932258,24125218,24521362,24681726,24804178,25060578,25062669,25467711,25504941,25631125,25635599,25639372,25714258,25828360,25836174,25856311,25908957,25987612,26083851,26535861,26787778,26927711,27256895,27312603,28099138,28277743,28298722,28345116,28722274,29056905,29515895,29929803,30016671,30103991,30109930,30246514,30363025,30683803,30710751,30727291,30757350,30994032,31119874,31316811,31455165,31674178,31900264,32214815,32548252,32631298,32708274,32807840,32880130,33065074,33198892,33362440,33552176,33763018,34188940,34710796,34868286,35419074,35434540,35665378,35793215,35887797,36086914,36131916,36435630,36439432,36441863,36689356,36723271,36908820,37125160,37227903,37446625,37532745,37598242,37746198,37829218,37870973,38461228,38497803,38566331,38657778,38864672,38905415,39223138,39369408,39401733,39456156,39631963,39969345,39978034,40034928,40477823,40518411,40686171,40827292,40883579,40994361,41021403,41026728,41031820,41313163,41439903,41717074,41765805,41999074,42191691,42521448,42633968,42880895,42951858,43024731,43191051,43320815,43354636,43375750,43440351,43618978,43722756,43756834,43880332,43896130,44290584,44550192,44919611,44935950,45039294,45179403,45304231,45674331,45900359,46003803,46014988,46026274,46155069,46319143,46497291,46559191,46616140,46686498,46906825,46907871,46986268,47144411,47235820,47348301,47836629,47854642,47931680,47963214,48372043,48606418,49007015,49036492,49238184,49284791,49683903,49687771,49826907,49876415,49946831,50024731,50118966,50282668,50753458,50950540,51384651,51457074,51984978,52050900,52181563,52334171,52469074,52675356,52918519,52945996,53261563,53287941,53560583,53568748,53651839,53723432,53923140,53954351,54035871,54041740,54101390,54201815,54515103,54592523,54611074,54907858,55392957,55520960,55709403,55741738,55855111,55907131,55921895,55939368,56191132,56228863,56288190,56367025,56548258,56590252,56617090,56680108,56682984,57183479,57293403,57518016,57807538,58341559,58394505,58808418,58919323,58945931,58946271,59181531,59344876,59420159,59595820,59684071,59851698,60040736,60176002,60438861,60822303,61020274,61132571,61140648,61184865,61461463,61586491,61597511,61599903,61896815,62114056,62147074,62231836,62287472,62452491,62461080,62744615,62931789,63225051,63438025,63768357,63797578,63916951,64013615,64529563,64707768,64720330,64850088,64909282,64921668,65042178,65088232,65254252,65263856,65322031,65645819,65751820,65900879,65923483,66215103,66513130,66625152,66649768,66773245,67009750,67106274,67123240,67274098,67517452,67545828,67640430,67690831,67817698,67837463,67940508,68003548,68188191,68783229,68942751,69057215,69175029,69437740,69765151,69878313,69959698,70046743,70073406,70268715,70305053,70329163,70384808,70597511,70726895,70982530,71075356,71162239,71235031,71514984,71646274,71951025,72149792,72492551,72504940,72634978,72796239,72805895,72817019,72839125,72956349,73112539,73146801,73224261,73346863,73369384,73419711,73421838,73641291,73816732,73928818,74276178,74545090,74797612,74875895,74953296,74955820,74980989,75112971,75186303,75293538,75454498,75470359,75513645,75625791,76125630,76299538,76597951,76720731,76747760,76816338,77277991,77287700,77348015,77664396,77671965,77733359,77900722,78015820,78027531,78386242,78389151,78554338,78688763,78862171,78902184,79182909,79432951,79815756,79866139,79867330,80127894,80411700,80454357,80547888,80624015,81168516,81191771,81200672,81437458,81781378,81805751,82351225,82367116,82540557,82615762,82629899,82752603,82850096,82868658,83069351,83325288,83351663,83388831,83758391,83943359,84163803,84322458,84582971,84872274,85058491,85090895,85179036,85215903,85772480,85844571,85914303,86303159,86341230,86405074,86516722,86560498,86679771,87005928,87079525,87171820,87303903,87367074,87406950,87506639,87554145,87596743,87749512,87802090,87899097,88083058,88516136,88700111,88764957,89027403,89454108,89637371,89679202,89851074,89946984,89986011,90178018,90247783,90463551,90616374,90625750,90661063,91081471,91309930,91350756,91421458,91510415,91682818,91829218,92082796,92097312,92185090,92207771,92466625,92559631,92688274,92703815,92745240,92817618,93106258,93204719,93206358,93220360,93234080,93332591,93354763,93391088,93505371,93594658,93618984,93740949,94089631,94245394,94300811,94332172,94508511,94517563,94524034,94685615,94708491,95041311,95194498,95202705,95390350,95697052,95704616,95705151,95837631,95840796,96008554,96300418,96432603,96494040,96748818,97025631,97171339,97428765,97627963,97881669,98106754,98401803,98457874,98662731,98718201,98821470,98835479,98928256,98946274,99008842,99013895,99179743,99362578,99580653,...,99460035168907012821940602226369968466294292932355246958526905320239706794499850379223374498578318490006961094118969875351034087103620938691487902580893840699789652086342523721766318740919469716810047868800785936295226248928935019897847455582903140272802165380823394549542924858801762775322065917948704860850105519264147524775501572719023729346309204737581200456809240324192445413831175396663993538832118655647680364854464074878437996125421003908324181592351987158112701351999025047931226936365331078230395651786711145500277085415443400299205095439165862825658265009800127353450314187223714515406492164800324399538733998754574472040033738502022957600012719075119620404928726273101412560654861046622515036451539918328643098993617604700024905739636372539243792660262824014282683307641070340968774061727513997814984414895015521778903804394091188210198888480946229789985715659199260523151153514159733034077577649026557947248316934207507229165752586270637021462618611511514092360313911336009180800083794179198535985741823196212703461379666393451559615753309656674818768790207184299892042831543695735644542130786059445954809583280250906373748325304961008464780666329995993698607596651437044122021224259947665820826239184135589303879079394004786858555612651085275219287261735390101600060021277099194861133814942992033648436260589492324257010328199442117437008566738976089547105080729313112640688456074356127212134406409454686328143290293510794824403380549904067568512020886044963913411161788980356328976070292710754328744974733461407992941459729860864359809087878297397123257709511001484072287643079026415509230112603876125496748123378452243361866486084301758627438262670333857917055504057453002451002646813455353441777141680563800265095173607747927017624544667656270876981861064008416399893909055052776455488072421189173553455488246646006929535125141543445792188019848274356294290982102266596296588644345629214095442123144642605329141339381151653400097974789941741566450060286208743770700106282054586411555117995882390554186903776582244969383546846678661685399606897837736052147850794903843241882346088343277507333187214293814796723729352362507420258297469071078353372163077801550769886184749809227434781760120676256444168211020568122604685635491787108652456379726334806543125080434931374279602591476082992968846403455346237120033335595531877666835164707080144773395986424914430317996722679429097880324245237457698863793893336159114645563860097427346151921658779530646373616016101984003613255134703881831357988174938587}
15802  9370627889158264067335892787185479410994375642419726542544080625: {78985,94782,173701,410462,442148,457417,631640,646201,694628,710595,757968,834697,852714,1116901,1657635,1768144,1920158,1955108,1973375,1989162,2052901,2108222,2296142,2332628,2368050,2525920,2703817,2841660,2902232,3031104,3265011,3409992,3627577,3657944,3714404,3836241,3839828,3903301,4115187,4215908,4353758,4466468,4725998,4911902,5544037,5654078,5921624,5995657,6024302,6175801,6209198,6293427,6445477,6661827,6804037,7427864,7492175,7499438,7695397,7960868,7996911,8209508,8356347,8582228,8667577,8990610,9326804,9384935,9450788,9512702,9589984,9718201,9822548,9892297,10260411,10585801,10784798,10788732,10844677,11183204,11261922,11277695,11508542,11683347,11923748,12214775,12293588,12589838,12692435,12892357,13359731,13407050,13486958,13533234,13565701,14177432,14221347,14261204,14395695,14400901,14657730,14874404,14914862,15063877,15228901,15230922,15355408,15475897,15634912,15640201,15805635,15949611,15976148,15979742,15997415,16088460,16212997,16476515,16510238,16831268,16859344,16930175,17025157,17069163,17161024,17267401,17274834,17422535,17517507,17589276,18132050,18269198,18309637,18444302,18619262,18627877,18651224,18966762,19085330,19196898,19306152,19493187,19771818,20013758,20094802,20151411,20316210,20478308,20590777,20639003,20841428,20854175,20880344,20907042,20982627,21209401,21399038,21440197,21445988,21670624,21719421,21758460,21916142,22128697,22170404,22204837,22260158,22599815,22725807,22853450,22902396,23117678,23206175,23209024,23490387,23562695,23630462,23989775,24233401,24379452,24456788,24801491,25025010,25454015,25499582,25894868,26064901,26110152,26174942,26281657,26425801,26693344,26970404,27119778,27284617,27424140,27566804,27639397,27828483,27847410,27912731,28062757,28273304,28275234,28553401,28638308,28706860,28787730,28849587,28901701,29192135,29252416,29351204,29358154,29373921,29386297,29484290,29703904,29845635,30030012,30062948,30178718,30508622,30536804,30544818,30706912,31128404,31330862,31423177,31489957,31494878,31623301,31658451,31807467,31835344,31837268,31884503,31955401,31986062,32049215,32285450,32484515,32520111,32801822,32908968,33414104,33416892,33717637,33956948,34006588,34261118,34448232,34515627,34545276,34778468,35030562,35302537,35364997,35381148,35431395,35814762,35898387,35923897,36028862,36187827,36234539,36348398,36415801,36416804,36599077,36782043,36842437,37022589,37024201,37205317,37206267,37304722,37445797,37505737,37590867,37620782,37793488,38253518,38314991,38459058,38513701,38571387,38742540,38754261,38981418,39270457,39825278,39875330,39906404,40022228,40181667,40241701,40293998,40685315,40947668,41009800,41247397,41325376,41467717,41498615,41522617,41692382,41703050,41755748,41847038,41940220,41971754,42067657,42148707,42448083,42517674,42736175,43083411,43346377,43388495,43398757,43611032,44149598,44293175,44431237,44785801,44909918,45164895,45286201,45369771,45549290,45779401,45861695,45877177,46118942,46120357,46136025,46406450,46491048,46679811,46869902,47008003,47122057,47215801,47225432,47309257,47355877,47511267,47766302,47850396,48076535,48175888,48580840,48822378,48946947,49062411,49117897,49211760,49320195,49335877,49597611,49637204,49798338,50043660,50105701,50131358,50231737,50328264,50424398,50523301,50644527,50729401,51014917,51034115,51283410,51289775,51330404,51543704,51811237,52025822,52066194,52302429,52315118,52389577,52492544,52535644,52608208,52803397,53128611,53151810,53292460,53379904,53498067,53533477,53676037,54024548,54027397,54130371,54131401,54193295,54197874,54248228,54349799,54501538,54653445,54659148,54695204,54702304,54850415,54972901,55034034,55034702,55070857,55253204,55363230,55459358,55519417,55676197,55687740,56255588,56397363,56520901,56619297,56665801,56695264,56743827,56808901,56952203,57089701,57105874,57269144,57284558,57309157,57363301,57366308,57443977,57518735,57588068,57629701,57691842,57760201,57841262,57920468,57986667,58257278,58264201,58270175,58297008,58318547,58337317,58732835,58834707,58853701,59010697,59044775,59054112,59074499,59184234,59228857,59400256,59439817,59742757,59762377,59897701,59908382,59914600,59935717,59954617,59967051,60052392,60139657,60239204,60437701,60521401,60635557,60683401,60730597,60899108,61126201,61193701,61220197,61240938,61285177,61295615,61338404,61360777,61540092,61547730,61560901,61583077,61586707,61647877,61788997,61798537,61808462,61817401,61924537,61974217,61996388,62206777,62248664,62287417,62308837,62324677,62381701,62414137,62423497,62425477,62425801,62543828,62575611,62853335,62998611,63131068,63688175,63782172,63945422,63950952,64077758,64198211,64427787,64840754,65031954,65063625,65311103,65428467,65584134,65635251,65650912,65820498,65844195,65915342,66182495,66245204,66435876,66564782,66825288,66960935,67154290,67403925,67552175,67558941,67596398,68512868,68609432,68999822,69022482,69039411,69253834,69313304,69401200,69924210,70029747,70233808,70238915,70479402,70737815,70850135,70853730,70885502,71050588,71781963,71897520,71944821,72047828,72124622,72493834,72616238,72686804,72738782,72909627,73471022,73554738,73857276,74181095,74279204,74494775,74585824,75050920,75178449,75424002,75577312,75705443,76130187,76229918,76391204,76425810,76690688,76780823,76819598,77171678,77185611,77451619,77522462,77642570,77789795,77859340,77977467,77988158,78076350,78081179,78335918,78411224,78595028,78703611,78908708,79013034,79418994,79802264,79941662,80052167,80282078,80353122,80395262,80585148,80884710,80959022,81062610,81096404,81152085,81360290,81520864,81567815,81579820,81630782,81717202,81742238,81879611,81916611,82133204,82189775,82361787,82738862,83269988,83281440,83287502,83312210,83612607,83741539,83904050,83909052,84157838,84286698,84300068,84396815,84432285,84822387,84885378,84925635,85004435,85020162,85024476,85339502,86082398,86277024,86293358,86466784,86477759,86562224,86711307,86722904,86797175,86922782,87131438,87981010,87983483,88212627,88286804,88473662,88575902,88833536,88844195,88855858,89017314,89388638,89393730,89473571,89475032,89777547,89977027,89992142,90061104,90187240,90264003,90587344,90631175,90917588,90933514,91085102,91530411,91710972,91711730,91923668,91966382,92233372,92266031,92270915,92450942,92643719,93171084,93220611,93347754,93431208,93497015,93691620,93694775,93883022,94726718,95282702,95353312,95696367,95924798,95934700,96106958,96609625,97061652,97080495,97275132,97363923,97382502,97458403,97519775,97529068,97563267,97632348,97881378,97892948,97895784,98188388,98415967,98509742,98627730,98856782,99034904,99714302,99769695,99799262,99937728,99974652,...,132613380225209350429254136301826624621725723909806995944702540426986275725999800505631165998104424653342614792158626500468045449471494584921983870107858454266386202781790031629021758321225959622413397158401047915060301665238580026530463274110537520363736220507764526066057233145069017033762754557264939814466807359018863366367335430292031639128412272983441600609078987098923260551774900528885324718442824874196907153139285433171250661500561338544432242123135982877483601802665366730574969248487108104307194202382281527333702780553924533732273460585554483767544353346400169804600418916298286020541989553067099199384978665006099296053378318002697276800016958766826160539904968364135216747539814728830020048602053224438190798658156806266699874319515163385658390213683765352376911076854760454625032082303351997086645886526687362371871739192121584280265184641261639719980954212265680697534871352212977378770103532035410596331089245610009638887670115027516028616824815348685456480418548448012241066778392238931381314322430928283604615172888524602079487671079542233091691720276245733189390442058260980859389507714745927939746111040334541831664433739948011286374221773327991598143462201916058829361632346596887761101652245514119071838772525339715811407483534780366959049682313853468800080028369465593148178419923989378197915014119323099009347104265922823249344755651968119396140107639084150187584608099141502949512541879272915104191053724681059765871174066538756758016027848059951884548215718640475105301427056947672438326632977948543990588612973147819146412117171063196164343612681335312096383524105368554012306816805168167328997497837936324482488648112402344836584350227111810556074005409937336601336862417940471255702855574085067020126898143663902690166059556875027835975814752011221866525212073403701940650763228252231404607317662194675906046833522057927722917359797699141725721309469688795062118192460838952127256164192856807105521785841535537866797299719922322088600080381611658360933475042739448548740157327843187405582538368776326625844729128904882247199475863783648069530467726538457655843128117791036676444249619058419728964972469816676560344396625428104471162884103735401026514912999745636579709013494235008592224281360757496806247513989049478203275172968446408724166773913241832372803455301443990625128537940461649493377780794042503555780219609440193031194648566552573757328963572572130507098993649943598485058524448212152860751813463236461535895545039374195164821354802645338151006846271842441810650899918116}
15803  9411892042294388747345115978174651936827472897694510583496830664: {15803,126376,142173,552685,615693,663222,789550,868285,947460,1010624,1041942,1136952,1279071,1547126,2210180,2443885,2539453,2652216,2880237,2915785,2932662,2983743,3157400,3162333,3200701,3296557,3444213,3485833,3498942,3552075,3627790,3788880,4041472,4262490,4353348,4546656,4572430,4643005,4714333,4799785,5092741,5114988,5181421,5269885,5374501,5486916,5571606,5583085,5759742,5899102,5941897,6323862,6499381,6530637,6699702,6887557,7088997,7367853,7402030,7449277,7978102,8391236,8394217,8481117,8882436,9036453,9113326,9175837,9284830,9313797,9906121,9951085,10055518,10210717,10261885,10555501,10662548,10727785,10842793,11141796,11229037,11249157,11658505,11813485,11941302,11987480,12065677,12278185,12314262,12325102,12405253,12575461,12873342,13435982,13485915,13680548,13979005,13990206,14053141,14175433,14176182,14205598,14269053,14384976,14733822,14751926,14841877,14904685,15015896,15366985,15563893,15577796,15774181,15841117,16177197,16183098,16319821,16774806,16885801,16892883,17007373,17262813,17721790,17826505,17885622,18044312,18270301,18349342,18440382,18593005,18706537,18803917,18884757,18961796,19171213,19194260,19488997,19543640,19616557,19970185,19994101,20110575,20230437,20299851,20307896,20418838,21009166,21039085,21074180,21266148,21391806,21435901,21451280,21815053,21986595,22311606,22372293,22567501,22758884,22846383,23033112,23314030,23356676,23452368,23964222,23969613,24132690,24739141,24765357,24943022,25147726,25246902,25289016,25595864,25597885,25638877,25717526,25741536,25912251,25979701,25990916,26051785,26100430,26362424,26383914,26807485,26868548,27088280,27198075,27403797,27460933,27666453,27713005,27855926,27876056,27928893,27976836,28022797,28347262,28450143,28520101,28627995,28795347,28959228,29011280,29237341,29657727,29679982,29722957,30020637,30095677,30142203,30250358,30296617,30301076,30474315,30536528,30570985,30717462,31262142,31320516,31360563,32098557,32168982,32368585,32505936,32637690,32777701,32874213,33069302,33255606,33366680,33390237,33645637,33713005,34010422,34280175,34353594,34458505,34676517,34813536,34988773,35341630,35445693,35797885,35883575,36091502,36159704,36163501,36422317,36446521,36565520,36569178,36685182,36689005,36917782,36973861,37104644,37129880,37408318,37537515,37578685,37700312,38159653,38171005,38190757,38249373,38383640,38466116,38842302,38910505,39165228,39262413,39287197,39794180,39796585,39877717,40040016,40455606,40679667,40718533,40726424,40729141,41136210,41225701,41322253,41350206,41713801,41767630,41771115,41928182,42153902,42211268,42409956,42412851,42446185,42508235,42908701,42957462,43060290,43060526,43181595,43269397,43360148,43473085,43878624,44026806,44037231,44226435,44342341,44434286,44555856,45045018,45094422,45100741,45268077,45521005,45762933,45805206,45817227,45930976,46020836,46032182,46060368,46692606,46707416,46809277,46996293,47150437,47174864,47241860,47242317,47492101,47753016,47755902,47864516,47944501,47979093,48162493,48250436,48316957,48428175,48614701,49042724,49065901,49202733,49291093,49363452,49608356,49883005,50004277,50027785,50110501,50121156,50125338,50797237,50935422,51009882,51184585,51262250,51271198,51278744,51321097,51391677,51428516,51656720,51672348,51712622,51817914,51975224,52167702,52194685,52425275,52545843,53071722,53086813,53355637,53575556,53722143,53808373,53855422,54043293,54279517,54467581,54513790,54522597,54625206,55690333,55957083,56198276,56293501,56431173,56443117,56555486,56597444,56690232,57380277,57444548,57627901,57688587,58113810,58472127,59000077,59028073,59031790,59285677,59427757,59737917,59812995,59859606,59949637,59972917,60033253,60033342,60042181,60207982,60219860,60440997,60493028,60649141,60726050,61367606,61421502,61454582,61514700,61988064,62046505,62100253,62239748,62538573,62554575,62633622,62770557,62910330,62957631,63348356,63518101,63764233,63776511,63800528,64163005,64229317,64256797,64429630,64852201,65096504,65262596,65416548,65535061,65614477,65615680,65669555,65760260,66130148,66224397,66397784,66615575,66724880,67104352,67364877,67494997,67526036,67530685,67810285,67871101,67889701,68323935,68369005,68377880,68609821,68844277,68919133,69066505,69178413,69208117,69421592,69609675,69663373,69736572,69826981,70304853,70319485,70606573,70838148,70854157,70869080,71314237,71330756,71586430,71649453,71707885,71775594,71985085,72173828,72263832,72400585,72501817,72826501,72871260,72878864,72883726,73154917,73233567,73378712,73446542,73817640,73872937,74250320,74455806,74697507,74795677,74893250,75065490,75196484,75197037,75299005,75492396,75556357,75584701,75636597,75658436,75741946,75818341,75882541,76028773,76123885,76673005,76691917,76922456,76925115,76995606,77132662,77170633,77315556,77495485,77729344,77743501,77810830,77882857,78038733,78070597,78099291,78179785,78270217,78290653,78446276,78472677,78698821,78738816,78803466,78912312,78913835,78947101,79223401,79263926,79727715,79938690,79956068,80069856,80159581,80684197,80955646,81036822,81296811,81372342,81654584,81752307,81767158,81907117,81988722,82042806,82053456,82063640,82331833,82551051,82552053,82626326,82806505,82879806,83044845,83079973,83189037,83434148,83531610,83769097,83998148,84383382,84594037,85042896,85267936,85416973,85428877,85641085,85658811,85761790,85903716,85926837,86049462,86056477,86314237,86382102,86537763,86641630,86655541,86709272,86751500,86761893,86880702,87206857,87237956,87385917,87445512,87513668,87518101,87760664,87792260,87842461,87842557,88038157,88581168,88711453,88776351,88813235,89100384,89547781,89619061,89839222,89862573,89871900,90059785,90078588,90358057,90358806,90608462,90858505,91074661,91348662,91429957,91800718,91861407,91866697,92007606,92029976,92052548,92219557,92255101,92310138,92321595,92638286,92712693,92849005,92994582,93118382,93157741,93216637,93232280,93289501,93303061,93372996,93482543,93813650,93815742,93972536,94150981,94288822,94471640,94696602,94805173,95050357,95489005,95673258,95709284,95863360,95918133,95926428,95966557,96116637,96364201,96680101,96744086,97212836,97261131,97324175,97547931,97653517,97733833,98014030,98072984,98243785,98376201,98476368,98569582,98635885,98730747,98848117,98873013,99017653,99143077,99367806,99375542,99653814,99752830,99847173,99893662,99961693,...,198920070337814025643881204452739936932588585864710493917053810640479413588999700758446748997156636980013922188237939750702068174207241877382975805161787681399579304172685047443532637481838939433620095737601571872590452497857870039795694911165806280545604330761646789099085849717603525550644131835897409721700211038528295049551003145438047458692618409475162400913618480648384890827662350793327987077664237311295360729708928149756875992250842007816648363184703974316225402703998050095862453872730662156460791303573422291000554170830886800598410190878331725651316530019600254706900628374447429030812984329600648799077467997509148944080067477004045915200025438150239240809857452546202825121309722093245030072903079836657286197987235209400049811479272745078487585320525648028565366615282140681937548123455027995629968829790031043557807608788182376420397776961892459579971431318398521046302307028319466068155155298053115894496633868415014458331505172541274042925237223023028184720627822672018361600167588358397071971483646392425406922759332786903119231506619313349637537580414368599784085663087391471289084261572118891909619166560501812747496650609922016929561332659991987397215193302874088244042448519895331641652478368271178607758158788009573717111225302170550438574523470780203200120042554198389722267629885984067296872521178984648514020656398884234874017133477952179094210161458626225281376912148712254424268812818909372656286580587021589648806761099808135137024041772089927826822323577960712657952140585421508657489949466922815985882919459721728719618175756594794246515419022002968144575286158052831018460225207752250993496246756904486723732972168603517254876525340667715834111008114906004902005293626910706883554283361127600530190347215495854035249089335312541753963722128016832799787818110105552910976144842378347106910976493292013859070250283086891584376039696548712588581964204533192593177288691258428190884246289285210658282678762303306800195949579883483132900120572417487541400212564109172823110235991764781108373807553164489938767093693357323370799213795675472104295701589807686483764692176686555014666374428587629593447458704725014840516594938142156706744326155603101539772369499618454869563520241352512888336422041136245209371270983574217304912759452669613086250160869862748559205182952165985937692806910692474240066671191063755333670329414160289546791972849828860635993445358858195760648490474915397727587786672318229291127720194854692303843317559061292747232032203968007226510269407763662715976349877174}
15804  9453336479807814674548091225276738932417724091782970997125655640: {110579,157970,189564,205283,268379,347402,488963,583379,677723,820924,884296,914834,994833,1054379,1117043,1148363,1184325,1263280,1292402,1389256,1421190,1515936,1562913,1669394,1705428,2146379,2233802,2320689,2456579,2549483,2762725,3074579,3315270,3474563,3536288,3840316,3910216,3946750,3978324,4087283,4105802,4216444,4300979,4398993,4544723,4592284,4665256,4736100,4757579,4818323,5051840,5121563,5212379,5248413,5407634,5441685,5454203,5683320,5804464,6062208,6393735,6476243,6530022,6625763,6804923,6819984,6858645,7255154,7315888,7428808,7518683,7672482,7679656,7806602,8230374,8257283,8357409,8431816,8580683,8639613,8698043,8707516,8785979,8848653,8932379,8932936,9370379,9451996,9485793,9574163,9748523,9823804,10049553,10183163,10327643,10489045,10960979,11088074,11103045,11190323,11304803,11308156,11618963,11818379,11843248,11967153,11991314,12048604,12301043,12351602,12418396,12586854,12753203,12809579,12890954,13138909,13147163,13323654,13328185,13511579,13608074,13669989,13927245,13930379,14153003,14485979,14569043,14679683,14855728,14984350,14998876,15083277,15093443,15258443,15390794,15505403,15669683,15788773,15921736,15993822,15997379,16051883,16419016,16712694,16865603,17100685,17135243,17164456,17335154,17698883,17769409,17911953,17981220,18471393,18487653,18653608,18769870,18868403,18901576,19025404,19179968,19310013,19436402,19472245,19645096,19735379,19784594,19813763,19918163,20153973,20520822,20985309,21171602,21212363,21238043,21264273,21308397,21569596,21577464,21596723,21689354,21749963,22100733,22127889,22131803,22366408,22396381,22511843,22523844,22555390,22688579,22814579,23017084,23065979,23067121,23366694,23702245,23847496,23939579,23992825,24236843,24261563,24274647,24385043,24391549,24429550,24557579,24587176,24631403,25162209,25179676,25384870,25784714,26068643,26092763,26342725,26429603,26582685,26719462,26788763,26814100,26828433,26973916,27066468,27131402,27288563,27524013,27572579,27660573,28230803,28354864,28442694,28448605,28522408,28557563,28580843,28791390,28801802,28905923,28929083,29195845,29310853,29315460,29748808,29829724,30008579,30076883,30127754,30349379,30457802,30461844,30507803,30628257,30688379,30710816,30845963,30951794,31269824,31280402,31513749,31516883,31583579,31611270,31639741,31899222,31952296,31959484,31982243,31994830,32087709,32092523,32176920,32422163,32425994,32488645,32575379,32902379,32953030,32967563,32987773,33010979,33020476,33467409,33585685,33662536,33718688,33860350,34050314,34138326,34322048,34510379,34534802,34549668,34552643,34679243,34845070,34931579,34971045,35035014,35140979,35178552,35203643,35495123,35635621,35805683,35946333,36073379,36199035,36264100,36380579,36421403,36441803,36538396,36619274,36787379,36888604,36929003,37238524,37255754,37291379,37302448,37391579,37414533,37721589,37870353,37876345,37933524,38047883,38170660,38393796,38576289,38612304,38636963,38812283,38986374,39006323,39150645,39218843,39543636,39575871,39983483,40021379,40027516,40189604,40248083,40302822,40361003,40529843,40632420,40809803,40865579,40868989,40956616,41181554,41272403,41278006,41327579,41382683,41547563,41682856,41693579,41708350,41760688,41783889,41814084,41911643,41965254,42092483,42290483,42418802,42520893,42683579,42719123,42798076,42822637,42880394,42891976,43300979,43341248,43423283,43438842,43516920,43832284,43874123,43994579,44257394,44302523,44340808,44409674,44519973,44520316,44709083,44759579,44868901,45061043,45199630,45281353,45293723,45343379,45375537,45451614,45478321,45557723,45590579,45706900,45803363,45804792,45884843,46031003,46076193,46128083,46235356,46240979,46273163,46380805,46412350,46418048,46481579,46561379,46893213,46980774,47125390,47239403,47260924,47379443,47425979,47780363,47979550,48082645,48190979,48253473,48466802,48758904,48818123,48862379,48913576,48956535,49126403,49602982,49603953,49732379,49742725,49874579,49883409,50050020,50324243,50532203,50752043,50820323,50908030,50983379,50999164,51015633,51185579,51279323,51478883,51530391,51789736,51820523,52015163,52129802,52131083,52220304,52322843,52349884,52399043,52563314,52764085,52825403,52851602,52924379,53010563,53012445,53386688,53650379,53685923,53733203,53768579,53827379,53862563,53940808,54137253,54152963,54200185,54239556,54313403,54483563,54569234,54663083,54848280,54851579,54853767,54884603,55027773,55124579,55133608,55278794,55339379,55376673,55529963,55656966,55686803,55694820,55825462,55913579,55934003,56112477,56125514,56246483,56531843,56546608,56550468,56590043,56676803,56686403,56819963,56942579,56959441,57054563,57106802,57247763,57276616,57329483,57383603,57413720,57526045,57561923,57575460,57597203,57641123,57699174,57754379,57780323,57803402,58098061,58263453,58357163,58384270,58421579,58445603,58504832,58643003,58702408,58716308,58747842,58772594,58774379,58963379,58968580,59052325,59347523,59407808,59452163,59555003,59602379,59691270,59735579,59781443,59830645,59992379,60011123,60060024,60085379,60103763,60125896,60265979,60313045,60357436,60422363,60534443,60605579,60648683,60683409,60685979,60743893,60881603,60999203,61017244,61073608,61084379,61089636,61139723,61144283,61207283,61211723,61233803,61298843,61303405,61315883,61362083,61378643,61413824,61459523,61471379,61567379,61597043,61622579,61629803,61703723,61704315,61727579,61840979,61915979,61958579,62010445,62025309,62058443,62206379,62238203,62256808,62269379,62285579,62293379,62311283,62325323,62333363,62339843,62374523,62392763,62395379,62402003,62407379,62409563,62429723,62437883,62439203,62440379,62440979,62651445,62661724,62846354,62892273,62979914,62989756,63230853,63246602,63316902,63614934,63670688,63674536,63769006,63910802,63972124,64098430,64206373,64285645,64436193,64570900,64590435,64590789,64969030,65040222,65603644,65817936,66040209,66651429,66828208,66833784,66969445,67307149,67435274,67567527,67641633,67913896,68013176,68522236,68707809,68896464,69031254,69048273,69090552,69556936,69815317,70038909,70061124,70247845,70605074,70729994,70746805,70762296,70862790,71447761,71629524,71633853,71796774,71805685,71847794,72057724,72375654,72469078,72696796,72831602,72833608,73198154,73564086,73684874,74045178,74048402,74410634,74412534,74609444,74891594,75011474,75181734,75188007,75241564,75274825,75586976,75616285,75870613,76403133,76507036,76514823,76629982,76790581,76893375,76906797,76918116,77027402,77142774,77185849,77485080,77508522,77568933,77726871,77799685,77962836,78251553,78540914,79185445,79607583,79650556,79750660,79812808,80044456,80363334,80483402,80526229,80587996,80783133,81370630,81578245,81770685,81890017,81895336,81937809,82019600,82200325,82225969,82494794,82650752,82662685,82935434,82997230,83045234,83384764,83406100,83511496,83694076,83880440,83943508,84135314,84297414,84407545,84833229,84896166,85035348,85472350,85813861,86166822,86692754,86776990,86797514,87170715,87222064,87994669,88299196,88547685,88586350,88862474,89163445,89470069,89571602,89789409,89819836,90050013,90217285,90311973,90329790,90572402,90739542,91089075,91098580,91558802,91723390,91754354,92051409,92132253,92181873,92237884,92240714,92272050,92277757,92655493,92812900,92982096,93359622,93739804,93745309,93950433,93995605,94016006,94244114,94365495,94431602,94450864,94573045,94618514,94711754,95022534,95532604,95700792,96153070,96351776,96644445,96651613,96766813,97161680,97644756,97893894,98057845,98124822,98235794,98334481,98423520,98640390,98671754,99032941,99190189,99195222,99274408,99596676,99945085,...,298380105506721038465821806679109905398882878797065740875580715960719120383499551137670123495734955470020883282356909626053102261310862816074463707742681522099368956259027571165298956222758409150430143606402357808885678746786805059693542366748709420818406496142470183648628774576405288325966197753846114582550316557792442574326504718157071188038927614212743601370427720972577336241493526189991980616496355966943041094563392224635313988376263011724972544777055961474338104055997075143793680809095993234691186955360133436500831256246330200897615286317497588476974795029400382060350942561671143546219476494400973198616201996263723416120101215506068872800038157225358861214786178819304237681964583139867545109354619754985929296980852814100074717218909117617731377980788472042848049922923211022906322185182541993444953244685046565336711413182273564630596665442838689369957146977597781569453460542479199102232732947079673841744950802622521687497257758811911064387855834534542277080941734008027542400251382537595607957225469588638110384138999180354678847259928970024456306370621552899676128494631087206933626392358178337864428749840752719121244975914883025394341998989987981095822789954311132366063672779842997462478717552406767911637238182014360575666837953255825657861785206170304800180063831297584583401444828976100945308781768476972771030984598326352311025700216928268641315242187939337922065368223068381636403219228364058984429870880532384473210141649712202705536062658134891740233485366941068986928210878132262986234924200384223978824379189582593079427263634892191369773128533004452216862929237079246527690337811628376490244370135356730085599458252905275882314788011001573751166512172359007353007940440366060325331425041691400795285520823243781052873634002968812630945583192025249199681727165158329366464217263567520660366464739938020788605375424630337376564059544823068882872946306799788889765933036887642286326369433927815987424018143454960200293924369825224699350180858626231312100318846163759234665353987647171662560711329746734908150640540035985056198820693513208156443552384711529725647038265029832521999561642881444390171188057087522260774892407213235060116489233404652309658554249427682304345280362028769332504633061704367814056906475361325957369139179004419629375241304794122838807774428248978906539210366038711360100006786595633000505494121240434320187959274743290953990168038287293640972735712373096591381680008477343936691580292282038455764976338591939120848048305952010839765404111645494073964524815761}
15805  9494961983183179534502274990565927101731672294875482502920012227: {31606,236955,252752,284346,521103,773759,1026155,1105370,1215599,1231386,1326444,1372251,1579100,1736570,1894920,1938603,2021248,2083884,2131785,2273904,2504091,2558142,3094252,3350703,3421439,3895931,4082099,4420360,4800395,4887770,4972905,5078906,5270555,5304432,5691887,5740355,5760474,5831570,5865324,5920125,5967486,6158703,6314800,6324666,6351683,6401402,6500207,6593114,6719699,6888426,6971666,6997884,7104150,7255580,7377839,7577760,7816319,8082944,8111451,8524980,8706696,8803691,9093312,9144860,9286010,9428666,9599570,9795033,10185482,10229976,10362842,10539770,10556843,10749002,10844171,10882731,10884395,10973832,11071547,11143212,11166170,11508723,11519484,11590799,11709903,11798204,11814995,11883794,12067211,12279755,12345561,12474683,12647724,12998762,13061274,13399404,13775114,13931519,14054927,14135195,14177994,14366639,14735706,14804060,14898554,15018899,15060755,15522995,15565871,15843131,15956204,16308899,16321907,16538879,16632111,16782472,16788434,16887947,16962234,17189459,17629967,17764872,17986971,18050339,18072906,18226652,18351674,18527403,18569660,18627594,18748595,18880281,19336431,19570607,19619051,19812242,19902170,19985481,19996643,20111036,20412111,20421434,20523770,20866559,20969423,21111002,21325096,21455570,21513779,21535739,21685586,21886799,22222811,22283592,22458074,22476525,22498314,22914239,23032451,23086191,23317010,23626970,23781755,23857859,23882604,23974960,23990733,24131354,24556370,24628524,24650204,24810506,24957107,25069041,25150922,25746684,25983023,26002731,26030207,26670683,26871964,26961995,26971830,27361096,27958010,27958259,27980412,28106282,28154805,28350866,28352364,28411196,28538106,28769952,28771355,29053187,29154603,29454719,29467644,29503852,29676891,29683754,29809370,30031792,30300491,30691631,30703283,30733970,30781233,31127786,31155592,31474595,31548362,31682234,31757403,31875407,32354394,32366196,32534031,32639642,33117851,33120923,33517625,33549612,33717395,33771602,33785766,33812099,33833085,34014746,34525626,35050041,35127131,35443580,35653010,35771244,35837039,36088624,36168143,36472499,36540602,36644325,36698684,36880764,36978587,37143551,37186010,37287155,37413074,37530479,37607834,37769514,37923592,38077305,38342426,38388520,38677071,38737283,38798207,38977994,39087280,39233114,39940370,39949355,39988202,40079193,40221150,40460874,40599702,40615792,40697103,40734347,40837676,41275595,41323727,42018332,42078170,42148360,42532296,42664041,42738683,42783612,42799379,42871802,42902560,43187085,43202703,43630106,43973190,44105027,44623212,44744586,45134531,45135002,45191631,45316019,45330125,45517768,45672995,45686703,45692766,46066224,46110755,46427691,46548155,46621307,46628060,46713352,46904736,46920603,47128211,47198207,47416905,47713325,47848833,47928444,47939226,47992245,48022739,48241907,48265380,48285743,48638991,48721283,49429545,49478282,49523387,49530714,49559087,49886044,50010671,50034395,50037503,50117039,50237005,50295452,50493804,50578032,50710283,50790525,51075471,51191728,51195770,51207489,51277754,51364607,51435052,51483072,51630947,51802203,51824502,51959402,51967439,51981832,52103570,52200860,52267605,52552521,52610159,52724848,52767828,53079407,53275151,53439407,53497595,53614970,53737096,54176560,54396150,54474707,54790355,54807594,54860483,54921866,54928911,55332906,55426010,55650395,55711852,55715219,55752112,55857786,55883631,55953672,55958351,56045594,56243219,56661683,56694524,56900286,57040202,57133625,57255990,57590694,57635267,57794195,57918456,58022560,58216127,58356443,58474682,58479561,58547579,58555631,59076155,59315454,59359964,59424659,59445914,59511529,60041274,60191354,60284406,60454233,60500716,60571187,60593234,60602152,60662051,60862319,60948630,61073056,61141970,61434924,61602239,61772331,61917009,61979087,62001899,62278799,62307659,62524284,62562525,62641032,62721126,62947881,63526223,63628203,63729407,63748955,64197114,64320591,64337964,64737170,64946963,65011872,65158263,65275380,65437355,65555402,65748426,66136403,66138604,66386091,66511212,66528683,66614511,66733360,66780474,67105967,67291274,67426010,67799445,68015723,68020844,68177421,68560350,68707188,68917010,69353034,69618525,69627072,69782963,69836207,69977546,70038899,70064891,70347119,70471161,70683260,70688085,70849571,70891386,71113307,71192363,71323391,71398499,71595770,71658419,71767150,71969325,72183004,72319408,72327002,72700203,72844634,72893042,73023887,73041299,73072559,73131040,73138356,73164443,73370364,73378010,73395385,73497059,73710725,73835564,73947722,74209288,74259760,74404473,74527919,74816636,75075030,75157370,75400624,75446795,75939851,76038491,76271555,76319306,76342010,76362045,76381514,76498746,76767280,76932232,77684604,77821010,78080783,78194703,78327155,78330456,78524826,78574394,78737195,78844971,79277403,79291643,79588360,79593170,79755434,79802111,79965155,80080032,80169827,80233283,80379947,80713625,80797439,80911212,81170963,81359334,81437066,81452848,81458282,81791411,81853851,81999599,82004555,82272420,82451402,82644506,82700412,82918191,83427602,83485449,83535260,83542230,83668163,83736731,83738193,83856364,84188271,84307804,84422536,84819912,84825702,84892370,85016470,85427891,85652795,85660203,85817402,85914924,86067683,86107547,86120580,86121052,86143763,86249531,86363190,86455811,86538794,86548761,86705103,86720296,86865107,86946170,87218051,87576405,87757248,87854063,88053612,88074462,88121763,88158891,88394891,88452870,88518779,88684682,88868572,89111712,89536905,89559227,89828207,90072155,90090036,90188844,90201482,90369611,90536154,90870995,91042010,91525866,91599587,91610412,91634454,91861952,91878683,91937377,92017931,92041672,92064364,92120736,92265251,92266943,92583299,93221123,93261805,93314987,93385212,93414832,93618554,93992586,94051955,94269531,94300874,94349728,94469871,94483720,94484634,94542959,94817291,94869903,94934399,94975353,94984202,95062511,95354051,95422401,95506032,95511804,95633795,95653509,95716607,95729032,95866203,95889002,95958186,96147645,96324986,96376523,96398579,96500872,96582299,96633914,96680063,96693107,96856350,97229402,97453545,97560333,97652927,98085448,98131802,98272403,98405466,98447279,98582186,98726904,99216712,99563195,99688325,99766010,99974771,...,397840140675628051287762408905479873865177171729420987834107621280958827177999401516893497994313273960027844376475879501404136348414483754765951610323575362799158608345370094887065274963677878867240191475203143745180904995715740079591389822331612561091208661523293578198171699435207051101288263671794819443400422077056590099102006290876094917385236818950324801827236961296769781655324701586655974155328474622590721459417856299513751984501684015633296726369407948632450805407996100191724907745461324312921582607146844582001108341661773601196820381756663451302633060039200509413801256748894858061625968659201297598154935995018297888160134954008091830400050876300478481619714905092405650242619444186490060145806159673314572395974470418800099622958545490156975170641051296057130733230564281363875096246910055991259937659580062087115615217576364752840795553923784919159942862636797042092604614056638932136310310596106231788993267736830028916663010345082548085850474446046056369441255645344036723200335176716794143942967292784850813845518665573806238463013238626699275075160828737199568171326174782942578168523144237783819238333121003625494993301219844033859122665319983974794430386605748176488084897039790663283304956736542357215516317576019147434222450604341100877149046941560406400240085108396779444535259771968134593745042357969297028041312797768469748034266955904358188420322917252450562753824297424508848537625637818745312573161174043179297613522199616270274048083544179855653644647155921425315904281170843017314979898933845631971765838919443457439236351513189588493030838044005936289150572316105662036920450415504501986992493513808973447465944337207034509753050681335431668222016229812009804010587253821413767108566722255201060380694430991708070498178670625083507927444256033665599575636220211105821952289684756694213821952986584027718140500566173783168752079393097425177163928409066385186354577382516856381768492578570421316565357524606613600391899159766966265800241144834975082800425128218345646220471983529562216747615106328979877534187386714646741598427591350944208591403179615372967529384353373110029332748857175259186894917409450029681033189876284313413488652311206203079544738999236909739127040482705025776672844082272490418742541967148434609825518905339226172500321739725497118410365904331971875385613821384948480133342382127510667340658828320579093583945699657721271986890717716391521296980949830795455175573344636458582255440389709384607686635118122585494464064407936014453020538815527325431952699754348}
15806  9536769337266027614546889282563574971716620584393536882918270847: {47409,221158,299953,315940,379128,410566,426519,536758,694804,977926,1054513,1148509,1166758,1242433,1355446,1641848,1658055,1768592,1829668,1847079,1973875,1989666,1991233,2108758,2177713,2234086,2296726,2368650,2456893,2526560,2549809,2584804,2604855,2778512,2842380,3031872,3105793,3125826,3338788,3410856,3475009,3837213,3867815,4292758,4467604,4641378,4849309,4913158,5098966,5525450,5666113,5846833,6149158,6630540,6656509,6949126,7014493,7072576,7331655,7460353,7618359,7638193,7680632,7820432,7893500,7956648,8174566,8211604,8346673,8432888,8601958,8640711,8747355,8797986,8951229,9069475,9089446,9184568,9225793,9313309,9330512,9400753,9472200,9486999,9515158,9602103,9636646,9889671,10103680,10243126,10332639,10424758,10457499,10496826,10656225,10815268,10883370,10908406,11048509,11366640,11431075,11608928,12124416,12331009,12787470,12839473,12952486,13060044,13092733,13177009,13251526,13609846,13639968,13681153,13717290,13929015,13932253,14142999,14399355,14510308,14631776,14684663,14747755,14857616,14930173,15037366,15278223,15342913,15344964,15359312,15544263,15613204,15753853,15809655,16081309,16123503,16460748,16489009,16514566,16714818,16749255,16863632,16894909,17161366,17279226,17396086,17415032,17571958,17697306,17701309,17825691,17864758,17865872,18181693,18505075,18659459,18740758,18897409,18903992,18971586,19148326,19213633,19497046,19498143,19591911,19647608,19945255,20099106,20155393,20366326,20655286,20662671,20932273,20978090,20993863,21241009,21266991,21921958,22103559,22176148,22206090,22347831,22380646,22609606,22616312,22783315,22842973,23212075,23237926,23444893,23519809,23636758,23686496,23934306,23940959,23967793,23982628,24097208,24265009,24602086,24703204,24836792,24929533,25138795,25173708,25182651,25443351,25506406,25619158,25781908,26096509,26277818,26294326,26647308,26656370,26816509,27023158,27109359,27216148,27261143,27339978,27527511,27600193,27812413,27854490,27860758,27941391,28306006,28585009,28933309,28971958,29138086,29210653,29359366,29693233,29711456,29718363,29853255,29968700,29997752,30166554,30186886,30376513,30516886,30632151,30715453,30781588,30785655,30812755,30985309,31010806,31339366,31577546,31666503,31843472,31987644,31994758,32053213,32103766,32183355,32432719,32528379,32838032,32907313,33183143,33425388,33589955,33684913,33687111,33731206,33747471,33877693,34201370,34270486,34328912,34640099,34670308,34831873,34957873,34975515,35397766,35440455,35458993,35513995,35521309,35538818,35823906,35962440,36197031,36386173,36447409,36752509,36834555,36879815,36942786,36975306,37215759,37297153,37307216,37539740,37597213,37726383,37736806,37803152,37954909,38050808,38359936,38620026,38872804,38896093,38944490,39070513,39290192,39470758,39474973,39569188,39627526,39828047,39836326,40046653,40216753,40307946,40457745,40498813,40611133,40834909,40874183,40890673,41041644,41444353,41936509,41937015,41970618,42159423,42343204,42424726,42476086,42476509,42526299,42528546,42616794,42743809,42807159,43139192,43154928,43193446,43220413,43325533,43378708,43499926,43862863,44201466,44255778,44263606,44304475,44309809,44525631,44714055,44732816,44766973,44792762,44867773,45023686,45047688,45068509,45110780,45367453,45377158,45484103,45629158,45873355,46006273,46034168,46054909,46100955,46131958,46134242,46585153,46691679,46733388,46775809,46965313,47019959,47322543,47404490,47434033,47523351,47694992,47879158,47985650,48214333,48473686,48523126,48531591,48549294,48770086,48783098,48859100,48885553,48959463,49115158,49174352,49262806,49755313,49925809,50104219,50324418,50347009,50359352,50608571,50657403,50678649,50769740,50924593,51005953,51022119,51047095,51208093,51328513,51569428,51788439,51920893,52137286,52185526,52345009,52522915,52572673,52685450,52859206,52909309,53026883,53165370,53438924,53457409,53479515,53577526,53628200,53656866,53849053,53947832,54132936,54262804,54471133,54577126,54706753,54810903,54971713,55037233,55048026,55145158,55199773,55321146,55779015,55924273,56119611,56227393,56376253,56411751,56435293,56461606,56654271,56697409,56709728,56885388,56897210,56981809,57044816,57115126,57161686,57367873,57513639,57582780,57603604,57765853,57811846,57858166,58197313,58271293,58285075,58391690,58466991,58537009,58621706,58630920,58849671,58975453,59086513,59108509,59429809,59497616,59659448,59910555,59982303,60017158,60023809,60098113,60116509,60153766,60255508,60331725,60401053,60569533,60691311,60698758,60777793,60808753,60899553,60915604,60923688,60944509,60959233,61015606,61017409,61157809,61225309,61256514,61376758,61417009,61421632,61581313,61690033,61691926,61761853,61858333,61903588,61903873,61930333,61972993,62021809,62221213,62275933,62286013,62323453,62348509,62357555,62387713,62422813,62434909,62444413,62456509,62456833,62539648,62560804,62869315,63027498,63033766,63117255,63167158,63222540,63279482,63798444,63904592,63918968,63964486,63989660,64175418,64185046,64293815,64307703,64353840,64844326,64851988,64933127,64977290,65150758,65251075,65445159,65804758,65906060,65935126,65959785,65975546,66021958,66040952,66934818,67116879,67171370,67315703,67325072,67437376,67702503,67720700,68100628,68276652,68539149,68644096,69020758,69069604,69099336,69105286,69358486,69639815,69690140,69863158,69942090,70070028,70281958,70357104,70407286,70868155,70990246,71271242,71611366,71892666,71908839,72146758,72398070,72528200,72761158,72842806,72883606,73076792,73238548,73574758,73777208,73858006,73869719,74199955,74217423,74296071,74477048,74511508,74582758,74604896,74783158,74829066,75443178,75625895,75740706,75752690,75867048,75880259,76095766,76341320,76787592,76793655,76916631,77152578,77224608,77273926,77624566,77736753,77939103,77972748,78012646,78155355,78301290,78437686,79087272,79151742,79966966,80042758,80055032,80379208,80422455,80496166,80536463,80605644,80722006,81059686,81264840,81594225,81619606,81731158,81737978,81913232,82211391,82363108,82382799,82509011,82544806,82556012,82655158,82673255,82765366,82999359,83095126,83139015,83365712,83387158,83416700,83521376,83567778,83628168,83762903,83786679,83823286,83930508,84068391,84184966,84438263,84580966,84837604,85026055,85041786,85350429,85367158,85406827,85438246,85560303,85596152,85645274,85760788,85783952,85824767,85883985,86386041,86601958,86682496,86814623,86846566,86877684,87033840,87664568,87712023,87748246,87989158,88354075,88514788,88605046,88681616,88819348,88973181,89039946,89040632,89168871,89418166,89496319,89519158,89737802,89999903,90061911,90122086,90228755,90287031,90399260,90426609,90562706,90587446,90686758,90751074,90889851,90903228,90956642,91115446,91181158,91413800,91422945,91606726,91609584,91643431,91712955,91769686,92062006,92152386,92256166,92294455,92470712,92481958,92546326,92761610,92824700,92836096,92963158,93122758,93520795,93757223,93786426,93961548,94081689,94250780,94478806,94521848,94758886,94851958,95560726,95959100,96165290,96295671,96381958,96506946,96779111,96933604,97105755,97517808,97636246,97724758,97827152,97913070,98252806,98333103,98346983,98622639,99045527,99205964,99207906,99464758,99485450,99749158,99766818,...,596760211013442076931643613358219810797765757594131481751161431921438240766999102275340246991469910940041766564713819252106204522621725632148927415485363044198737912518055142330597912445516818300860287212804715617771357493573610119387084733497418841636812992284940367297257549152810576651932395507692229165100633115584885148653009436314142376077855228425487202740855441945154672482987052379983961232992711933886082189126784449270627976752526023449945089554111922948676208111994150287587361618191986469382373910720266873001662512492660401795230572634995176953949590058800764120701885123342287092438952988801946397232403992527446832240202431012137745600076314450717722429572357638608475363929166279735090218709239509971858593961705628200149434437818235235462755961576944085696099845846422045812644370365083986889906489370093130673422826364547129261193330885677378739914293955195563138906921084958398204465465894159347683489901605245043374994515517623822128775711669069084554161883468016055084800502765075191215914450939177276220768277998360709357694519857940048912612741243105799352256989262174413867252784716356675728857499681505438242489951829766050788683997979975962191645579908622264732127345559685994924957435104813535823274476364028721151333675906511651315723570412340609600360127662595169166802889657952201890617563536953945542061969196652704622051400433856537282630484375878675844130736446136763272806438456728117968859741761064768946420283299424405411072125316269783480466970733882137973856421756264525972469848400768447957648758379165186158854527269784382739546257066008904433725858474158493055380675623256752980488740270713460171198916505810551764629576022003147502333024344718014706015880880732120650662850083382801590571041646487562105747268005937625261891166384050498399363454330316658732928434527135041320732929479876041577210750849260674753128119089646137765745892613599577779531866073775284572652738867855631974848036286909920400587848739650449398700361717252462624200637692327518469330707975294343325121422659493469816301281080071970112397641387026416312887104769423059451294076530059665043999123285762888780342376114175044521549784814426470120232978466809304619317108498855364608690560724057538665009266123408735628113812950722651914738278358008839258750482609588245677615548856497957813078420732077422720200013573191266001010988242480868640375918549486581907980336076574587281945471424746193182763360016954687873383160584564076911529952677183878241696096611904021679530808223290988147929049631522}
15807  9578759330277150251852911746710156339958219097223461422646600806: {63212,331737,394925,473910,505504,568692,615849,805137,868505,1042206,1436617,1466889,1547518,1750137,2033169,2052310,2210740,2287085,2431198,2462772,2652888,2744502,2984499,3158200,3163137,3231005,3351129,3445089,3473140,3552975,3789840,3877206,3990569,4042496,4167768,4173485,4263570,4547808,4558397,4688739,5008182,5029673,5116284,5584505,6164897,6188504,6439137,6701406,6720553,6842878,6962067,7369737,7378777,7648449,7770173,7791862,8036497,8142233,8164198,8288175,8337569,8840720,9223737,9600790,9775540,9866875,9945810,10157812,10213313,10264505,10423689,10541110,10608864,10977053,11383774,11480710,11520948,11663140,11730648,11840250,11934972,12261849,12317406,12476269,12629600,12649332,12703366,12802804,12902937,13000414,13186228,13196979,13244909,13439398,13519085,13634169,13698217,13776852,13943332,13995768,14179037,14208300,14272737,14454969,14511160,14755678,15155520,15238153,15364689,15632638,15637137,15745239,15778193,16165888,16222902,16325055,16362609,16540993,17011697,17049960,17191657,17413392,17607382,18052633,18137885,18186624,18227593,18289720,18572020,18711293,18857332,19176089,19181205,19199140,19428729,19493969,19516505,19590066,19789273,19877289,20370964,20414769,20459952,20575935,20725684,20972089,21079540,21085057,21113686,21441353,21498004,21538477,21688342,21732193,21765462,21768790,21947664,22143094,22286424,22332340,22556049,23017446,23038968,23181598,23419806,23596408,23629990,23767588,24134422,24559510,24691122,24771849,24949366,25021657,25072227,25295448,25645433,25742049,25866217,25918839,25997524,26094129,26122548,26248033,26357937,26545959,26797137,26798808,27550228,27720185,27863038,28109854,28111137,28270390,28355988,28457379,28527377,28710473,28722489,28733278,29245569,29471412,29608120,29797108,29978285,30037798,30121510,30148659,30549489,30707209,30879005,30982929,31045990,31131742,31467135,31686262,31912408,32227385,32471209,32617798,32643814,32882937,33077758,33264222,33294457,33309135,33564944,33570969,33576868,33775894,33914409,33924468,34020185,34378918,34856889,35259934,35455137,35529744,35901459,35973942,36100678,36145812,36431609,36453304,36703348,36903129,37054806,37139320,37255188,37460875,37497190,37746793,37760562,37789993,38259609,38428737,38476985,38672862,38875793,39141214,39142909,39238102,39416727,39441489,39618653,39624484,39804340,39970962,39984555,39993286,40222072,40279897,40534737,40728929,40824222,40842868,41009967,41047540,41329009,41733118,41781735,41791137,41938846,42222004,42459009,42650192,42744169,42911140,43027558,43071478,43337885,43371172,43457937,43707129,43773598,44039049,44064433,44445622,44567184,44916148,44953050,44996628,45249831,45280329,45775329,45828478,45944393,46064902,46172382,46516209,46634020,46924675,47009049,47146753,47204353,47253940,47366319,47563510,47715718,47765208,47949920,47981466,47992137,48155649,48262708,48591005,48627113,49112740,49257048,49300408,49303697,49461485,49621012,49914214,50138082,50301844,50596809,51302055,51405729,51493368,51966046,52005462,52060414,52202017,52929005,52938793,53096649,53308227,53341366,53369249,53672473,53735859,53743928,53923990,53943660,54223385,54722192,55414179,55462959,55916020,55916518,55929097,55960824,56212564,56309610,56388475,56605209,56701732,56704728,56822392,57064969,57076212,57539904,57542710,57785833,57930039,58106374,58309206,58416735,58909438,58935288,59007704,59015129,59206137,59353782,59367508,59441289,59442953,59618740,59706937,59754489,59965169,60063584,60461919,60600982,61073875,61383262,61406566,61467940,61562466,61610113,62141693,62255572,62311184,62949190,62955927,63096724,63160813,63183713,63364468,63462175,63514806,63637089,63714129,63750814,63792819,63925191,63942193,64080073,64461785,64555057,64708788,64732392,64790169,64934969,65068062,65167417,65249889,65279284,65347057,65551793,66235702,66241846,66302199,66383667,66395409,66798655,67035250,67099224,67189143,67434790,67532909,67535529,67543204,67571532,67624198,67666170,67697209,67828505,68029492,68065737,68443737,68936729,69051252,69197937,69201363,69362569,69421217,70048153,70100082,70254262,70331807,70872593,70887160,71106735,71306020,71542488,71674078,71818737,71978475,72004505,72177248,72336286,72710529,72784689,72823941,72944998,73081204,73155129,73174647,73288650,73397368,73506457,73602217,73672737,73761528,73894209,73957174,74287102,74372020,74574310,74826148,74896633,75060958,75215668,75319385,75486627,75499273,75539028,75847184,76017673,76144505,76154610,76627297,76684852,76706497,76777040,77190557,77354142,77379485,77474566,77596414,77910553,77955988,78174560,78201005,78205929,78278289,78466228,78745073,79028175,79288809,79748055,79880740,79898710,79976404,79987075,80158386,80366289,80442300,80485299,80911873,80921748,81064985,81199404,81231584,81394206,81468694,81634393,81675352,81865689,82382575,82551190,82572039,82647454,82706617,82717737,82893673,82981719,83101217,83337809,83383997,83457469,84036664,84136429,84156340,84296720,84650875,84692409,85064592,85125785,85328082,85345815,85477366,85567224,85591913,85598758,85672689,85742529,85743604,85805120,86337005,86374170,86405406,86467069,86717769,86787249,87112675,87260212,87263353,87587535,87788093,87932559,87946380,88210054,88734137,89014253,89246424,89248537,89489172,90025737,90230649,90269062,90270004,90383262,90632038,90660250,91035536,91048137,91098257,91345990,91373406,91385532,91523409,91548185,91612297,91780097,91884771,92065137,92132448,92221510,92277289,92537889,92595133,92855382,93096310,93139385,93233089,93240473,93242614,93256120,93426704,93673949,93809472,93841206,94125817,94256422,94337969,94396414,94541247,94550649,94750737,94833810,94919223,95305793,95426650,95697666,95856888,95878452,95946729,95984490,96045478,96227753,96263127,96277569,96483814,96530760,96571486,96908617,97266489,97277982,97442566,97465935,97665409,97726137,98284969,98707137,98741633,98859090,98873393,98902689,98932753,98956564,98963319,99032937,99046774,99061428,99118174,99772088,...,895140316520163115397465420037329716196648636391197222626742147882157361150498653413010370487204866410062649847070728878159306783932588448223391123228044566298106868777082713495896868668275227451290430819207073426657036240360415179080627100246128262455219488427410550945886323729215864977898593261538343747650949673377327722979514154471213564116782842638230804111283162917732008724480578569975941849489067900829123283690176673905941965128789035174917634331167884423014312167991225431381042427287979704073560866080400309502493768738990602692845858952492765430924385088201146181052827685013430638658429483202919595848605988791170248360303646518206618400114471676076583644358536457912713045893749419602635328063859264957787890942558442300224151656727352853194133942365416128544149768769633068718966555547625980334859734055139696010134239546820693891789996328516068109871440932793344708360381627437597306698198841239021525234852407867565062491773276435733193163567503603626831242825202024082627200754147612786823871676408765914331152416997541064036541779786910073368919111864658699028385483893261620800879177074535013593286249522258157363734927744649076183025996969963943287468369862933397098191018339528992387436152657220303734911714546043081727000513859767476973585355618510914400540191493892753750204334486928302835926345305430918313092953794979056933077100650784805923945726563818013766196104669205144909209657685092176953289612641597153419630424949136608116608187974404675220700456100823206960784632634396788958704772601152671936473137568747779238281790904676574109319385599013356650588787711237739583071013434885129470733110406070190256798374758715827646944364033004721253499536517077022059023821321098180975994275125074202385856562469731343158620902008906437892836749576075747599045181495474988099392651790702561981099394219814062365816126273891012129692178634469206648618838920399366669297799110662926858979108301783447962272054430364880600881773109475674098050542575878693936300956538491277703996061962941514987682133989240204724451921620107955168596462080539624469330657154134589176941114795089497565998684928644333170513564171262566782324677221639705180349467700213956928975662748283046913035841086086307997513899185113103442170719426083977872107417537013258888125723914382368516423323284746936719617631098116134080300020359786899001516482363721302960563877824229872861970504114861880922918207137119289774145040025432031810074740876846115367294929015775817362544144917856032519296212334936482221893574447283}
15808  9620932753826986988097315679950594910249735588867390899226492565: {79015,94818,173767,268447,442316,599906,631880,646447,710865,740767,758256,821132,853038,929191,1073516,1117327,1389608,1563309,1955852,2109026,2146927,2297018,2321277,2333516,2484866,2612047,2710892,2763425,2797591,3078465,3283696,3316110,3536887,3537184,3646797,3659336,3694158,3720991,3947750,3979332,3982466,3996607,4116753,4217516,4341425,4355426,4363087,4468172,4593452,4737300,4819567,4913786,5053120,5099618,5169608,5209710,5364967,5414941,5557024,5684760,5815809,6063744,6211586,6251652,6395355,6627487,6677576,6821712,6896191,6950018,7342591,7512273,7674426,7735630,7787191,7964527,8585516,8935208,9282756,9698618,9809167,9826316,9983191,10052109,10197932,10243687,10264317,10590007,11050900,11332226,11687793,11693666,12219425,12246297,12298316,12558991,12697265,12813007,13261080,13313018,13571167,13822591,13898252,13989847,14028986,14145152,14401185,14489887,14578925,14663310,14918715,14920706,15236718,15276386,15361264,15482191,15640864,15646567,15787000,15811665,15913296,16003505,16056247,16301191,16349132,16423208,16482785,16693346,16865776,16870207,17075661,17203916,17221065,17274487,17281422,17355127,17429165,17494710,17595972,17757247,17760375,17902458,18138950,18178892,18317191,18369136,18451586,18476109,18626618,18661024,18714991,18801506,18944400,18973998,19030316,19055049,19110991,19204206,19273292,19500621,19662367,19779342,20159097,20207360,20486252,20646857,20665278,20676991,20849516,20914998,20993652,21218287,21295327,21312450,21630536,21766740,21816812,22097018,22133517,22214191,22733280,22745407,22862150,23215025,23217856,23448957,23571665,23998925,24243727,24248832,24334353,24662018,24810929,25348567,25463705,25574940,25678946,25904972,25907105,26120088,26148487,26185466,26349425,26354018,26411073,26437207,26503052,26509207,26796487,26872505,27011191,27219692,27279936,27362306,27367591,27434580,27858030,27864506,27915425,27923357,27934087,28285998,28635727,28775191,28798710,28914367,29020616,29122591,29263552,29369326,29385099,29495510,29709485,29715232,29860346,30074732,30556446,30685826,30689928,30718624,31088526,31169191,31226408,31503991,31507706,31619310,31637407,31670529,31704007,31896641,32162618,32247006,32300167,32496905,32532513,32628847,32648193,32653185,32921496,32978018,33020887,33029132,33214641,33429636,33498510,33727264,33789818,33797191,34117591,34245247,34322732,34437785,34526169,34558452,34563127,34772397,34792172,34830064,34942207,35129709,35143916,35194313,35256127,35381191,35394612,35402618,35444985,35651382,35729516,35731744,36201633,36248333,36363386,36432607,36839265,37010150,37036683,37246385,37318918,37403167,37424049,37481516,37523191,37794818,37807984,37943172,38296652,38329577,38414191,38427266,38994092,38996286,39183822,39295216,39576991,39748927,39890510,40034047,40198212,40310786,40732652,41310572,41325342,41542591,41794557,41864546,41925127,41956180,41971085,41987726,42164781,42250207,42405585,42482018,42533982,42732967,43099917,43137857,43315087,43419991,43576807,43784887,43843916,44207118,44352296,44412180,44453191,44695662,44761292,44808007,45056697,45182265,45219212,45232624,45358447,45566630,45605767,45685946,45802327,45879185,46288687,46424150,46475852,46529167,46568985,46697613,46889786,47025937,47039618,47239807,47273516,47286607,47372992,47379991,47529393,47868612,47881918,47934247,47935586,47965256,48194416,48207487,48530018,48834967,48926697,48965721,48967591,49187191,49204172,49404991,49406408,49530605,49616637,49673584,49719593,49749727,49755425,49859066,49896333,50174167,50258191,50277590,50347416,50365302,50591407,50663841,50886702,51012812,51053585,51203767,51238316,51309425,51563816,51568377,51631741,51799927,51837929,51878191,52149847,52193018,52341727,52531807,52555636,52588652,52777505,52889901,53274127,53294616,53312740,53562991,53633018,53638925,53960913,54046316,54092191,54151017,54213965,54218718,54432296,54522286,54605191,54679956,55055022,55200386,55582209,55582591,55624826,55708980,55721516,55739191,55882782,55955407,55998833,56107687,56145185,56245785,56288047,56553727,56582887,56612012,56640843,56727607,56784991,57170018,57342991,57424207,57477991,57690247,57794647,57866618,57943916,58009293,58050607,58276172,58292525,58323847,58372591,58421306,58711821,58718732,58857153,59067425,59178991,59214077,59329687,59386466,59422912,59436726,59640727,59706510,59760607,59799991,59858527,59935567,59937400,59954647,59956443,59989929,59992591,59995504,60177991,60328385,60333108,60373772,60642607,60690991,60722887,60753026,60770191,61033772,61207591,61236333,61264302,61377007,61390925,61430906,61557367,61563176,61571310,61580191,61602727,61613887,61625510,61657807,61841191,61869487,61970618,61992967,62021612,62026265,62116807,62323447,62366287,62373991,62427847,62441887,62473207,62599677,62678732,62877305,62908269,63155092,63333006,63686944,63975288,63989516,64106426,64207532,64222697,64366710,64541337,64607217,64865438,65056758,65660397,65676064,65814626,66366286,66668433,66850776,67179910,67369826,67374222,67429575,67462412,67494942,67755386,68402740,68540972,68657824,68742717,69097353,69258573,69280198,69340616,69663746,69895025,69915746,69951030,70265705,70508273,70795532,70877165,70880910,70917986,71027990,71042618,71077636,71345265,71465933,71573577,71647812,71924880,71972199,72394062,72772346,72894818,73505018,73532081,73669110,73759630,73885572,73950612,74209385,74431518,74523425,74594306,74614432,74871321,75079480,75194426,75207123,75452766,75473612,75606304,75909818,76101616,76719872,76834925,77240052,77745608,77792186,77819465,77888980,77949069,78008193,78090621,78141026,78580384,78870905,78941516,78949946,79138376,79205585,79255052,79656094,79672652,80012049,80093306,80433506,80615892,80885985,80915490,80997626,81222266,81599105,81669818,81748366,81781346,82083288,82888706,83873018,83874030,83874777,83941236,84318846,84429005,84464415,84686408,84849452,84952172,84953018,85036865,85052598,85057092,85233588,85487618,85614318,86278384,86309856,86314065,86386892,86440826,86651066,86757416,86999852,87159561,87300577,87463809,87725726,88017041,88364157,88402932,88511556,88527212,88608950,88619618,89030673,89051262,89132525,89428110,89465632,89507693,89533946,89585524,89735546,90011341,90047372,90095376,90137018,90221560,90734906,90754316,90901473,90968206,91258316,91296953,91351505,91746710,92012546,92068336,92074893,92109818,92109849,92201910,92263916,92268484,92343699,92965025,93170306,93383358,93466776,93532685,93551618,93930626,94019585,94039918,94423785,94645086,94808980,94868066,95046702,95272209,95389984,95454689,95626221,95758316,95856065,95971300,96428666,96947372,97046252,97063182,97098588,97444985,97495741,97540172,97566196,97602093,97718200,97771106,97918926,98082785,98230316,98348704,98525612,99215417,99353553,99362769,99510626,99850925,99851618,99970505,...,1193520422026884153863287226716439621595531515188262963502322863842876481533998204550680493982939821880083533129427638504212409045243451264297854830970726088397475825036110284661195824891033636601720574425609431235542714987147220238774169466994837683273625984569880734594515098305621153303864791015384458330201266231169770297306018872628284752155710456850974405481710883890309344965974104759967922465985423867772164378253568898541255953505052046899890179108223845897352416223988300575174723236383972938764747821440533746003325024985320803590461145269990353907899180117601528241403770246684574184877905977603892794464807985054893664480404862024275491200152628901435444859144715277216950727858332559470180437418479019943717187923411256400298868875636470470925511923153888171392199691692844091625288740730167973779812978740186261346845652729094258522386661771354757479828587910391126277813842169916796408930931788318695366979803210490086749989031035247644257551423338138169108323766936032110169601005530150382431828901878354552441536555996721418715389039715880097825225482486211598704513978524348827734505569432713351457714999363010876484979903659532101577367995959951924383291159817244529464254691119371989849914870209627071646548952728057442302667351813023302631447140824681219200720255325190338333605779315904403781235127073907891084123938393305409244102800867713074565260968751757351688261472892273526545612876913456235937719483522129537892840566598848810822144250632539566960933941467764275947712843512529051944939696801536895915297516758330372317709054539568765479092514132017808867451716948316986110761351246513505960977480541426920342397833011621103529259152044006295004666048689436029412031761761464241301325700166765603181142083292975124211494536011875250523782332768100996798726908660633317465856869054270082641465858959752083154421501698521349506256238179292275531491785227199155559063732147550569145305477735711263949696072573819840801175697479300898797400723434504925248401275384655036938661415950588686650242845318986939632602562160143940224795282774052832625774209538846118902588153060119330087998246571525777560684752228350089043099569628852940240465956933618609238634216997710729217381121448115077330018532246817471256227625901445303829476556716017678517500965219176491355231097712995915626156841464154845440400027146382532002021976484961737280751837098973163815960672153149174563890942849492386365526720033909375746766321169128153823059905354367756483392193223808043359061616446581976295858099263044}
15809  9663290402930087685722422344008606778200463217689409429321729315: {15809,126424,142227,552895,663474,789850,899859,947820,1011008,1026415,1137384,1215907,1231698,1279557,1341895,1610274,1737010,1910227,2084412,2444815,2873234,2916895,2933778,3095036,3163539,3201919,3388615,3445527,3500274,3727299,4066338,4104620,4421480,4523407,4574170,4716127,4862396,4925544,4974165,5094679,5271895,5305776,5376547,5489004,5541237,5585215,5741815,5842879,5921625,5944159,5968998,5973699,6316400,6326274,6414727,6462010,6533139,6702258,6890178,6890179,6946280,7105950,7370679,7579680,7649427,7754412,7814565,7818307,7981138,8084992,8306047,8335536,8346970,8527140,8684311,9095616,9116794,9317379,9377478,9622639,10016364,10059346,10214611,10232568,10425027,10559527,10731895,11169010,11511639,11512519,11593747,11603445,12070279,12268471,12282787,12282895,12329794,12377008,12747415,12878274,13402399,13402812,13441106,13685756,13813625,13924134,14158351,14180839,14370307,14547927,14739474,14757554,15296898,15372895,15540346,15583724,15780199,15847159,16072994,16284466,16313047,16328396,16576350,16675138,16998339,17013859,17372815,17540499,17634451,17681440,18447474,18713671,18926719,19178527,19201580,19551080,19624039,19733750,19891620,19969527,20001727,20315624,20426626,20436415,20529010,20847378,21043479,21082220,21217728,21341539,21444079,21504895,21892387,21954106,21994965,22381059,22576147,22723615,22767548,22855077,22914579,22920067,22961420,23038327,23041896,23326280,23461296,23601127,23680500,23787895,23863927,23869944,24091615,24172399,24523698,24634812,24952538,25040019,25259200,25298664,25393039,25406732,25605608,25607815,25648711,25805874,25922133,25989667,26000828,26061895,26242065,26372456,26393958,26437087,26489818,26853687,26878796,27012007,27038170,27208425,27268338,27271015,27323107,27396434,27553704,27677379,27886664,27939927,27991536,28202259,28358074,28416600,28460997,28545474,28806309,28909938,29022320,29060599,29511356,29669013,30119359,30308239,30311040,30476306,30729378,30753811,30997917,31265276,31274274,31372497,31490478,31556386,31883539,31968675,32331776,32381215,32445804,32650110,32725218,32790307,33081986,33128815,33145527,33807367,33930559,34023394,34024615,34099920,34293225,34383314,34826784,34877047,35214764,36105266,36275770,36373248,36455186,36579440,36993027,37144040,37153027,37422586,37593415,37714664,38352178,38362410,38398280,38518419,38586019,38808259,38857458,38987938,39033010,39180132,39218311,39278199,39531027,39578546,39623719,39754578,40150447,40741928,40829538,40904611,40919904,41043459,41151870,41286415,41451368,41787045,41796759,41944178,41969599,42159080,42170114,42227372,42428997,42882706,42903415,42996008,43076954,43198065,43230607,43307959,43376684,43464386,43490215,43530924,43537580,43895328,43929895,43934407,44053989,44116279,44243265,44279671,44286188,44572848,44661895,44664680,44790519,45112098,45118339,45834669,45923791,45935479,45944119,46028739,46034892,46077936,46285987,46363196,46632789,46839612,46851895,47192816,47259980,47261559,47428965,47535176,47628259,47870815,48243927,48268844,48370509,48742615,49119020,49309999,49382244,49467027,49536031,49543698,49898732,50023459,50043314,50144454,50247765,50590896,50656447,50684727,50915815,51290866,51340759,51484098,51638215,51644119,51732434,51837678,51980707,51995048,52188258,52245096,52445225,52496066,52715874,53091918,53103927,53477073,53594274,53597616,53867779,54297919,54545079,54804895,55100456,55440370,55515225,55726076,55889047,55951615,55972627,55978377,56219708,56222274,56315347,56436319,56524015,56540780,56692227,56711976,56914758,57054754,57212671,57313927,57420946,57444978,57466556,57640899,58094815,58230979,58491138,58494429,58562527,58775733,58942824,58976467,59022079,59091895,59216240,59450551,59594216,59835765,59956570,59992579,60075596,60243020,60297318,60466179,60673039,60677527,60968611,61098978,61163779,61414418,61505215,61629199,61758010,61965858,61988013,61994899,62091980,62149639,62263484,62323567,62796819,62934270,62981589,63048871,63372524,63542467,63712447,63723027,63766015,63800973,63824816,64047895,64254019,64454770,64877047,64942418,65235596,65287628,65679331,65694545,65735815,65765874,66155516,66310677,66313447,66427327,66528444,66588914,66618270,66640925,67043493,67129888,67141938,67153736,67256167,67551788,67557895,67828818,67848936,68027407,68040370,68349945,68439391,68528919,68704807,68757836,69246079,69636225,69651895,69713778,70334679,70519868,70559427,70617091,70765015,70867927,70910274,71059488,71210887,71802918,71822877,71903379,71947884,72190351,72201356,72291624,72429895,72795027,72845215,72863218,72906608,73042531,73398415,73406696,73806258,73901239,74096047,74100607,74109612,74168611,74278640,74342767,74510376,74546947,74788599,74921750,74994380,75416385,75467215,75493586,75521124,75547953,75579986,75808711,75811927,75912739,76292215,76330053,76519218,76721299,76741327,76857474,76953970,77345724,77527015,77588419,77751586,78282428,78285818,78289527,78300319,78348415,78476204,78755347,78833454,78882978,78943865,78977347,79237306,79248968,79608680,79941924,79969110,79986572,79986895,80259415,80444144,80449527,80559794,80715811,80984791,81069474,81233539,81328077,81442687,81457858,81648444,81685736,81783429,82019934,82095080,82235911,82582533,82658018,82673107,82800579,83111839,83437239,83466236,83563470,83582274,83758519,83824173,83877692,83976211,84328015,84444008,84918018,85300384,85488338,85503425,85603111,85676215,85755027,85822280,86055116,86142956,86271799,86675770,86742344,86799927,86915874,86999047,87414258,87547196,87552487,87631959,88078098,88128866,88494415,88745479,88847045,88891244,89025679,89069671,89079699,89134368,89155089,89559765,89832296,89906100,89917951,89993256,90246499,90392719,90499662,90560658,91129539,91550658,91623319,91656956,91888786,91896453,92070439,92129804,92146359,92344764,92356965,92438265,92649439,92955927,93032418,93062359,93193879,93252391,93268040,93381607,93518117,93685927,93849350,94018098,94293506,94342015,94408706,94507880,94732638,94959907,94999509,95086819,95127020,95153167,95266711,95416471,95431436,95530416,95640787,95899840,95962932,95984274,96159639,96311298,96401167,96525416,96550065,97182010,97254226,97298157,97361225,97585137,98225480,98514096,98600816,98607394,98676895,98721939,98754259,98886031,98922970,99068815,99242024,99305959,99549429,99590815,99828428,...,1790280633040326230794930840074659432393297272782394445253484295764314722300997306826020740974409732820125299694141457756318613567865176896446782246456089132596213737554165426991793737336550454902580861638414146853314072480720830358161254200492256524910438976854821101891772647458431729955797186523076687495301899346754655445959028308942427128233565685276461608222566325835464017448961157139951883698978135801658246567380353347811883930257578070349835268662335768846028624335982450862762084854575959408147121732160800619004987537477981205385691717904985530861848770176402292362105655370026861277316858966405839191697211977582340496720607293036413236800228943352153167288717072915825426091787498839205270656127718529915575781885116884600448303313454705706388267884730832257088299537539266137437933111095251960669719468110279392020268479093641387783579992657032136219742881865586689416720763254875194613396397682478043050469704815735130124983546552871466386327135007207253662485650404048165254401508295225573647743352817531828662304833995082128073083559573820146737838223729317398056770967786523241601758354149070027186572499044516314727469855489298152366051993939927886574936739725866794196382036679057984774872305314440607469823429092086163454001027719534953947170711237021828801080382987785507500408668973856605671852690610861836626185907589958113866154201301569611847891453127636027532392209338410289818419315370184353906579225283194306839260849898273216233216375948809350441400912201646413921569265268793577917409545202305343872946275137495558476563581809353148218638771198026713301177575422475479166142026869770258941466220812140380513596749517431655293888728066009442506999073034154044118047642642196361951988550250148404771713124939462686317241804017812875785673499152151495198090362990949976198785303581405123962198788439628124731632252547782024259384357268938413297237677840798733338595598221325853717958216603566895924544108860729761201763546218951348196101085151757387872601913076982555407992123925883029975364267978480409448903843240215910337192924161079248938661314308269178353882229590178995131997369857288666341027128342525133564649354443279410360698935400427913857951325496566093826071682172172615995027798370226206884341438852167955744214835074026517776251447828764737032846646569493873439235262196232268160600040719573798003032964727442605921127755648459745723941008229723761845836414274238579548290080050864063620149481753692230734589858031551634725088289835712065038592424669872964443787148894566}
15810  9705833076019635861803589138885819082574119797000439517848672305: {110621,158030,189636,205361,300029,347534,363101,536894,583601,677981,884632,960689,995211,1117469,1148801,1184775,1199812,1242749,1263760,1292894,1305341,1421730,1481534,1516512,1642264,1706076,1847547,1858382,1991741,2053949,2147032,2178269,2234654,2333489,2415411,2550461,2605515,2612381,2779216,2828849,2983229,3126618,3537341,3568049,3752129,3868795,3905309,3911704,4180529,4218052,4293854,4309851,4394141,4400667,4594036,4642554,4667032,4850561,4911281,4969732,5130775,5214401,5224094,5250411,5395889,5421784,5526850,5546909,5595182,5667581,5908541,6077995,6099507,6118961,6156930,6299009,6448829,6567392,6632220,6658241,6861255,6897089,7073774,7074368,7075889,7293594,7318672,7343549,7388316,7441982,7521629,7699421,7895500,7958664,7964932,7965569,7993214,7995101,8233506,8260529,8348861,8435032,8672129,8682850,8710852,8726174,8789441,8936344,8953497,9023681,9186904,9374081,9474600,9489411,9639134,9693015,9827572,10013489,10053387,10106240,10187201,10199236,10335267,10339216,10419420,10658925,10706609,10729934,10829882,10850429,10965341,11051441,11114048,11369520,11395121,11631618,11965361,11971707,12127488,12390941,12423172,12503304,12520455,12758321,12790710,12842909,12899261,13152449,13236701,13254974,13355152,13643424,13675191,13684829,13792382,13900036,13991729,14066217,14353181,14574941,14685182,14768561,14989361,15024546,15089019,15237149,15347069,15348852,15471260,15511709,15574382,15676061,15758129,15929054,16003901,16085681,16140161,16753515,16899521,17107195,17142269,17171032,17276849,17759681,17776171,17870416,18186689,18319709,18494691,18558641,18565512,18744029,18955421,19139969,19317411,19397236,19479655,19618334,19652632,19665089,19822001,19966382,20104218,20160989,20161659,20291009,20395864,20410495,20472701,20487374,20528634,20886201,21180014,21246941,21298301,21323969,22101800,22109211,22136331,22217309,22318781,22404907,22664452,22899761,22945347,23075899,23201201,23310519,23375586,23387332,23451521,23576381,24001975,24109491,24271901,24400831,24426699,24438850,24492594,24596632,24641921,24715709,24864525,24936641,25012707,25117982,25230209,25352189,25394530,25626014,25789661,26152241,26176349,26296769,26352775,26513021,26522160,26626036,26800349,26824241,27038909,27142334,27371549,27645182,27655421,27671211,27749789,27796504,27961649,27979694,28057972,28243121,28290304,28459435,28570049,28639901,28663169,28701775,28779389,28802370,28941761,28979774,29126849,29149949,29157850,29265329,29322007,29326620,29495489,29600625,29837430,29841412,30090161,30430781,30473436,30552772,30639939,30722528,30769601,30793515,30927101,30964382,31039361,31196189,31271067,31281728,31293134,31441841,31530929,31574000,31597661,31623330,31758415,31826592,32007010,32062769,32106881,32112494,32172989,32304989,32501035,32602382,32698264,32846416,32931159,32965570,32982401,33000331,33386692,33598495,33731552,33737981,33740414,33823709,34151322,34250429,34271681,34407832,34442130,34548974,34562844,34695041,34710254,34842461,34858330,34968509,34989420,35010461,35191944,35219741,35282369,35469821,35511389,35514494,35520750,35649187,35804916,36089981,36192641,36269947,36277900,36357784,36438209,36458621,36634382,36738272,36785547,36804401,36865181,36889195,36903172,36946109,36952218,37006721,37253236,37308701,37322048,37428807,37429982,37469021,37603012,37608881,37621507,37888800,37947996,38006321,38060632,38110098,38124929,38221982,38408412,38439809,38537789,38546584,38616029,38708811,39001242,39081595,39082781,39295169,39324734,39558684,39590937,39602369,39734727,40002461,40059329,40267229,40318194,40414720,40436609,40549169,40557255,40885121,40902507,40972504,41015069,41094651,41273789,41293714,41330556,41347421,41353982,41402561,41457629,41494301,41567549,41593279,41699032,41822909,41829996,41950001,41987304,42094769,42436574,42490241,42537111,42590654,42624900,42757661,42793181,42818211,42838939,43261072,43339649,43364907,43374641,43444529,43496861,43533480,43583921,43601309,43633624,43705469,43809341,44016221,44018455,44067761,44194036,44267034,44428382,44731229,44781761,44815409,44882609,45133469,45298591,45316289,45365981,45382529,45466560,45490814,45495667,45662621,45714459,45724300,45826301,46054109,46094067,46264241,46430050,46435712,46505021,46632701,46791581,46823261,46897914,46911411,47143330,47153969,47235717,47263421,47334579,47403569,47450141,47850749,47942429,47957681,47997850,48094589,48212899,48230849,48261041,48411521,48487454,48497664,48591041,48668706,48887681,48975165,48990749,49087827,49195709,49210289,49324036,49370141,49621858,49622979,49686941,49772669,49943261,50014001,50489729,50600321,50697134,50765249,50847281,50927410,51035091,51051101,51149880,51226289,51346781,51357892,51546161,51574971,51809201,51809944,51814210,51822269,51887489,51900509,52081949,52144939,52159229,52240176,52296974,52363901,52370932,52541309,52698850,52708036,52742141,52784215,52822146,52874414,52953281,53006104,53018414,53039549,53223089,53283869,53572829,53592974,53715581,53745010,53762909,53798321,53892401,54022382,54113789,54157899,54171569,54220855,54275069,54413655,54421975,54439384,54491441,54514049,54547901,54559872,54615389,54626609,54682779,54724612,54727229,54735182,54869160,54882461,54915521,55014269,55057949,55155761,55220609,55357735,55593149,55603649,55687361,55716060,55729012,55749809,55822301,55830850,55846714,55868174,55873841,55945661,55966109,56118449,56133879,56308829,56417729,56571996,56593841,56603549,56738621,56805569,56975921,57004061,57271454,57363329,57390461,57408509,57444509,57489329,57528267,57543615,57550382,57597420,57675389,57701681,57806129,57814781,57828734,57840689,57953995,58041232,58062209,58237181,58245182,58286187,58311089,58343729,58384349,58392449,58481021,58481907,58527104,58549515,58560701,58576541,58623869,58678721,58738652,58759519,58770198,58787249,58886621,58969649,58991020,59021981,59074975,59110781,59191169,59198429,59277761,59306369,59341949,59349041,59367819,59418970,59430464,59571761,59631867,59720692,59792861,59819069,59838641,59909789,60030401,60049181,60142001,60149464,60160349,60190769,60214961,60336055,60426929,60438401,60489629,60595649,60661121,60704129,60709469,60804221,60881201,60921521,60936509,60971201,61039409,61082429,61112892,61180289,61225649,61244307,61263007,61274621,61356929,61371652,61379856,61398775,61415729,61437248,61512881,61571261,61575089,61597889,61616669,61653629,61718141,61727805,61769921,61790129,61806749,61845821,61874369,61886849,61973501,62007389,62010161,62032049,62042801,62056061,62102141,62119361,62133809,62177052,62179889,62266241,62288321,62309249,62324189,62338382,62338481,62343101,62353601,62356529,62360861,62373415,62378801,62381441,62389169,62390429,62418269,62420381,62423489,62441501,62446589,62452816,62453681,62455901,62462129,62467121,62476481,62481281,62488001,62488241,62488541,62586931,62916267,63007982,63015412,63238620,63255171,63274814,63341058,63408014,63793282,64230859,64324059,64325236,64494012,64600334,64615431,64993810,65065026,65196579,65257694,65296386,65306370,65842992,65956036,66041774,66058264,66180439,66429282,66859272,66997020,67454528,67579636,67594382,67668147,68235182,68490494,68645464,68875570,69052338,69116904,69126254,69342847,69544794,69584344,69657595,69660128,69884414,70259418,70274635,70287832,70388626,70512254,70675975,70762382,70789224,70805236,70889970,71302764,71459032,71463488,71475019,71833195,72403266,72496666,72726772,72865214,73678530,73888507,74020300,74073366,74315547,74492770,74637836,74806334,74848098,74963032,75046382,75064971,75094495,75216681,75303775,75589636,75615968,75886344,75899551,76593304,76659154,76828382,76854532,76936299,77226147,77598651,77614975,77756517,77829355,77988184,77992572,78282387,78367644,78590432,78603259,78744099,79073811,79153982,79215655,79497854,79637877,79781020,80068094,80391411,80396424,80621572,81465304,81544495,81609535,82621144,82650684,82694395,83085182,83160555,83327959,83589114,83729092,83850254,83912360,83942170,83975452,84329562,84333411,84439735,84459739,84500414,84811170,84964036,85067964,85372137,85465934,85582131,85947295,86131419,86167467,86199834,86275714,86630174,86836771,86839982,87153614,87569774,87687832,87736707,88028227,88149835,88414236,88704592,88824360,88906382,89391324,89522584,89616014,89934855,90113394,90251695,90364530,90438424,90445977,90465248,90716894,91133260,91211534,91371892,91604654,91648467,91758370,92121627,92577374,92637015,92848300,92948787,92951704,93058334,93137970,93395226,93742975,93779572,94051874,94079236,94401405,94479614,94547032,94573214,94745984,94759982,95058786,95737224,95763836,95868494,95871172,95930512,96388832,96414974,96682155,97060036,97413627,97669934,97853035,97853394,97931442,97935182,98095255,98371987,98374382,98408344,98648811,98809982,98812816,99061210,99228031,99233274,99347168,99439186,99499454,99510850,99718132,99792666,99883371,99927405,99983215,...,2685420949560489346192396260111989148589945909173591667880226443646472083451495960239031111461614599230187949541212186634477920351797765344670173369684133698894320606331248140487690606004825682353871292457621220279971108721081245537241881300738384787365658465282231652837658971187647594933695779784615031242952849020131983168938542463413640692350348527914692412333849488753196026173441735709927825548467203702487369851070530021717825895386367105524752902993503653269042936503973676294143127281863939112220682598241200928507481306216971808078537576857478296292773155264603438543158483055040291915975288449608758787545817966373510745080910939554619855200343415028229750933075609373738139137681248258807905984191577794873363672827675326900672454970182058559582401827096248385632449306308899206156899666642877941004579202165419088030402718640462081675369988985548204329614322798380034125081144882312791920094596523717064575704557223602695187475319829307199579490702510810880493728475606072247881602262442838360471615029226297742993457250992623192109625339360730220106757335593976097085156451679784862402637531223605040779858748566774472091204783233947228549077990909891829862405109588800191294573055018586977162308457971660911204735143638129245181001541579302430920756066855532743201620574481678261250613003460784908507779035916292754939278861384937170799231301952354417771837179691454041298588314007615434727628973055276530859868837924791460258891274847409824349824563923214025662101368302469620882353897903190366876114317803458015809419412706243337714845372714029722327958156797040069951766363133713218749213040304655388412199331218210570770395124276147482940833092099014163760498609551231066177071463963294542927982825375222607157569687409194029475862706026719313678510248728227242797135544486424964298177955372107685943298182659442187097448378821673036389076535903407619945856516761198100007893397331988780576937324905350343886816163291094641802645319328427022294151627727636081808902869615473833111988185888824544963046401967720614173355764860323865505789386241618873407991971462403767530823344385268492697996054785932999511540692513787700346974031664919115541048403100641870786926988244849140739107523258258923992541697555339310326512158278251933616322252611039776664377171743147105549269969854240810158852893294348402240900061079360697004549447091163908881691633472689618585911512344585642768754621411357869322435120076296095430224222630538346101884787047327452087632434753568097557888637004809446665680723341849}
15811  9748561574962033496615210052669130935462463947365099132730130842: {31618,237045,252848,284454,521301,774053,805341,1105790,1326948,1436981,1499765,1579700,1799718,1878653,1895640,1939341,2022016,2052830,2132595,2222301,2257541,2274768,2431814,2463396,2559114,2683790,2787573,3220548,3351981,3422741,3474020,3820454,4083653,4168824,4689927,4744061,4889630,5272565,5694053,5742545,5746468,5833790,5867556,6190072,6212165,6327078,6354101,6403838,6440781,6777230,6891054,6963831,7000548,7380653,7454598,7581041,7819301,7836141,8038541,8132676,8209240,8290275,8392773,8842960,9046814,9148340,9235395,9283229,9432254,9724792,9851088,9869375,9948330,9956165,10189358,10543790,10560869,10610661,10611552,10753094,10888565,10940391,10978008,11082474,11162973,11170430,11483630,11595221,11685758,11843250,11888318,11937996,11947398,11989821,12071813,12284465,12350259,12479441,12628781,12632800,12652548,12749045,12829454,12866933,12924020,13024275,13066278,13089261,13404516,13701701,13780356,13780358,13892560,14211900,14458701,14516021,14741358,15024653,15134789,15159360,15298854,15508824,15528965,15629130,15636614,15849173,15962276,16094901,16169984,16244823,16315121,16612094,16671072,16693940,17054280,17196053,17368622,17375045,17447427,17636693,17846381,17913053,18191232,18232229,18233588,18634758,18754956,19186065,19245278,19339075,19626533,19882461,20004269,20032728,20118692,20429222,20465136,20688573,20850054,20977421,21119054,21463790,21522053,21543953,22027773,22064981,22338020,22536819,22922981,23023278,23025038,23187494,23206890,23361573,23866961,23893581,23945669,24140558,24246545,24321941,24536942,24565574,24565790,24659588,24754016,25028021,25494830,25756548,25839461,25872821,25992989,26680901,26804798,26805624,26882212,27015461,27349253,27371512,27627250,27726701,27848268,27892241,28316702,28330565,28361678,28610981,28740614,29095854,29234165,29427501,29478948,29515108,29949573,30106853,30156327,30312113,30593796,30715061,30731061,30745790,30792951,31080692,31097429,31167448,31560398,31694318,31770021,31813061,31923281,32145988,32479493,32568932,32626094,32656792,33133661,33152700,33282545,33303053,33350276,33662813,33728261,33825053,33996678,34027718,34150589,34745630,35063379,35072465,35080998,35268902,35362880,35850941,36345413,36486653,36658275,36738891,36894948,37301765,37427342,37676973,37853438,38091795,38179421,38190965,38357054,38403160,38439021,38752181,38980229,39102160,39248078,39307253,39467500,39783240,39939054,39954161,40003454,40155581,40631248,40713501,40853252,40872830,41058020,41246909,41467773,41694756,41733365,41969541,42086958,42164440,42435456,42683078,42888158,43009790,43203555,43469661,43736775,43784774,43908212,43989930,44285333,44756145,44762118,44874029,45152294,45333701,45347375,45447230,45535096,45710154,45745781,45829158,45840134,45922840,46076654,46083792,46128965,46348913,46380341,46446573,46566545,46652560,46833173,46922592,46939701,47003765,47158781,47202254,47361000,47434995,47575790,47634461,47727854,47739888,48010515,48168741,48183230,48341813,48344798,48403013,48903573,49047396,49090949,49269624,49448355,49905076,50029853,50080038,50518400,50597328,50610621,50786078,50813464,51186881,51211216,51215630,51226983,51297422,51339653,51611748,51663195,51823461,51844266,51922481,51979334,52001656,52065381,52123790,52287495,52319861,52484130,52630781,52744912,52787916,52874174,52952309,52979636,53271741,53281125,53707374,53757592,54024014,54076340,54416850,54536676,54542030,54646214,54701621,54792868,54881501,54951573,55107408,55242545,55354758,55428327,55773328,55879854,55896221,55983072,56144973,56404518,56616029,56716148,56833200,56921994,57090948,57155375,57165147,57332973,57612618,57800981,57819876,58044640,58121198,58501863,58987101,59022712,59316389,59338026,59722181,60003533,60064781,60238718,60477291,60616478,60622080,60886301,60952612,61458756,61501853,61507622,61655045,61940571,61995834,62025653,62030973,62464229,62526653,62530552,62548548,62744994,62980956,63056933,63112772,63296981,63550589,63654861,63767078,63885981,63937350,64096421,64197365,64663552,64762430,64891608,64971941,65300220,65363741,65450436,65463665,65478641,65580614,65592653,65647973,65885045,65965853,66161741,66163972,66257630,66291054,66400551,66435821,66554501,66642573,67019141,67397069,67529453,67614734,67734641,67861118,67905749,68041781,68046788,68049230,68199840,68236221,68239661,68405765,68586450,68766628,68879693,69244109,69645075,69653568,69661265,69699461,69754094,69989009,70346871,70429528,70714995,71208029,71282141,71425853,71996775,72053813,72056261,72210532,72293501,72551540,72731181,72746496,72910372,73003059,73158880,73159349,73423315,73525253,73738775,73831013,73986054,74115029,74178269,74288080,74306054,74432787,74623421,74650865,74845172,75186830,75429328,75518549,75814901,75821621,76045701,76391115,76646861,76704356,76714565,76724820,76726853,76796560,77036838,77172038,77616518,77714916,77721315,77975876,78066020,78332261,78360264,78436622,78445461,78556398,78769265,79048275,79062054,79133621,79157092,79233219,79247438,79311621,79322021,79484561,79509156,79527621,80300894,80389461,80406545,80513201,80617515,81033573,81202061,81332741,81453101,81483856,81659076,81809222,81839808,81889649,81949253,82031741,82086918,82102773,82303740,82445045,82572830,82728653,82813229,82902736,83574090,83593518,83700341,83746275,83770071,83802261,83888356,83939198,84158321,84318160,84340228,84454744,84474545,84857994,85023569,85415501,85765412,85806830,85907181,85992016,86107301,86153908,86325573,86396130,86461214,86569949,86615918,86743101,86753368,86928772,86980430,87061848,87075160,87090821,87367773,87653813,87790656,87842549,87859790,87868814,87888581,88107978,88155297,88232558,88486530,88506545,88559342,88572376,89128455,89145696,89272421,89323790,89329360,89581038,89592113,89667053,89929493,90224196,90236678,90404273,90806309,90908465,91669338,91847582,91870958,91888238,91972363,92030141,92057478,92069784,92155872,92525375,92571974,92726392,93074501,93265578,93297295,93414533,93507573,93679224,93703790,94385632,94487045,94511973,94519960,94523118,94581053,94857930,94912221,95011587,95070352,95098973,95112021,95165381,95256518,95391413,95689923,95741630,96068165,96119189,96249053,96413489,96435653,96487854,96537688,96697229,96741018,96900501,97234229,97485230,97490715,97512653,97597539,97704581,97886541,97944579,97959555,98238040,98310101,98619998,98764488,98820581,98934054,99062661,99071021,99072062,99087396,99244613,99643923,99726275,99797464,99862001,...,3580561266080652461589861680149318864786594545564788890506968591528629444601994613652041481948819465640250599388282915512637227135730353792893564492912178265192427475108330853983587474673100909805161723276828293706628144961441660716322508400984513049820877953709642203783545294916863459911594373046153374990603798693509310891918056617884854256467131370552923216445132651670928034897922314279903767397956271603316493134760706695623767860515156140699670537324671537692057248671964901725524169709151918816294243464321601238009975074955962410771383435809971061723697540352804584724211310740053722554633717932811678383394423955164680993441214586072826473600457886704306334577434145831650852183574997678410541312255437059831151563770233769200896606626909411412776535769461664514176599075078532274875866222190503921339438936220558784040536958187282775567159985314064272439485763731173378833441526509750389226792795364956086100939409631470260249967093105742932772654270014414507324971300808096330508803016590451147295486705635063657324609667990164256146167119147640293475676447458634796113541935573046483203516708298140054373144998089032629454939710978596304732103987879855773149873479451733588392764073358115969549744610628881214939646858184172326908002055439069907894341422474043657602160765975571015000817337947713211343705381221723673252371815179916227732308402603139223695782906255272055064784418676820579636838630740368707813158450566388613678521699796546432466432751897618700882801824403292827843138530537587155834819090404610687745892550274991116953127163618706296437277542396053426602355150844950958332284053739540517882932441624280761027193499034863310587777456132018885013998146068308088236095285284392723903977100500296809543426249878925372634483608035625751571346998304302990396180725981899952397570607162810247924397576879256249463264505095564048518768714537876826594475355681597466677191196442651707435916433207133791849088217721459522403527092437902696392202170303514775745203826153965110815984247851766059950728535956960818897807686480431820674385848322158497877322628616538356707764459180357990263994739714577332682054256685050267129298708886558820721397870800855827715902650993132187652143364344345231990055596740452413768682877704335911488429670148053035552502895657529474065693293138987746878470524392464536321200081439147596006065929454885211842255511296919491447882016459447523691672828548477159096580160101728127240298963507384461469179716063103269450176579671424130077184849339745928887574297789132}
15812  9791476705071547575056167337073153035520977114840409606566006067: {47427,221242,316060,379272,410722,426681,600058,695068,726202,1073788,1148947,1167202,1242907,1355962,1658685,1769264,1921378,1974625,1990422,2234938,2297602,2364811,2369550,2399624,2485498,2527520,2550787,2585788,2610682,2699577,2843460,2963068,3014467,3033024,3079245,3284528,3291811,3412152,3568507,3647721,3695094,3716764,3838671,3983482,4025685,4107898,4211611,4294064,4342525,4356538,4469308,4666978,4830822,5100922,5211030,5224762,5416313,5558432,5657698,5730681,5758747,5966458,6253236,6479611,6748747,7074682,7106587,7136098,7183085,7334445,7504258,7641187,7737590,7810618,7823408,7996147,8261611,8361058,8436104,8509193,8587708,8619702,8702611,8750685,8788282,8801334,9188072,9285108,9316987,9334064,9404467,9490617,9605757,9701122,9822562,9939464,10165845,10188547,10261550,10336581,10428802,10448188,10448611,10500822,10791778,10843568,11053700,11093818,11138947,11181897,11190364,11310811,11335162,11435425,11817082,12155990,12199014,12237922,12313860,12420907,12598018,12897658,13134784,13182307,13264440,13316482,13570221,13722510,13794178,14147548,14148381,14148736,14151778,14587188,14637344,14687098,14687611,14776632,14883964,14922495,15043258,15266707,15284037,15398842,15791000,15815685,15917328,15929864,15931138,15986428,15990202,16129641,16155025,16467012,16521058,16577107,16623711,16697722,16755645,16870064,17225445,17344258,17365700,17421704,17452348,17528637,17578882,17764875,17832477,17872688,17906994,17921097,18047362,18189187,18373808,18587707,18748162,18949200,18978822,19244181,19278268,19386030,19599417,19655144,19929211,19952845,20026978,20106774,20212480,20374402,20398472,20475547,20670534,20670537,20678432,20838840,20867425,21095611,21317850,21326947,21413218,21459868,21659764,21700858,21864211,21930682,22102882,22112037,22228096,22739040,22790242,22791985,22948281,23263236,23443695,23454921,23529787,23604667,23930722,23943414,23950073,24254976,24497611,24781882,24846344,24918141,25006608,25013707,25040910,25148365,25233811,25516642,25581420,25685818,25798522,26052933,26180107,26304898,26473402,26509948,26710304,26828107,27271517,27286848,27350382,27369658,27584764,27800072,27922525,27952137,27983458,28132434,28247227,28574693,28597507,28667347,28706362,28867917,29149882,29154211,29292667,29370364,29537122,29706307,29978722,30049092,30178038,30185611,30474298,30643833,30694138,30697704,30824485,30942520,31023418,31148764,31275081,31352122,31516258,31678581,31858108,31868611,32007802,32171362,32195685,32280322,32445061,32987347,33312427,33506611,33507030,33602765,33799042,34214390,34276867,34284538,34342064,34534917,34537557,34553698,34653281,34781241,34810335,35519362,35537587,35552342,35599867,35740832,35910187,36210837,36373378,36464227,36639418,36769507,36805413,36848361,36848685,36893885,36989382,37117282,37131024,37488058,37910842,38150611,38242245,38279938,38634822,38794472,38850865,38914387,38959310,39236668,39305264,39330178,39493627,39644002,39843209,39932764,40182485,40207197,40208436,40321978,40323318,40582018,40630507,40711165,40791728,40820990,40910227,40945402,40974748,41021611,41057268,41298811,41440875,41687845,41772402,41847811,42119611,42360028,42475053,42493882,42497107,42542517,42596602,42647938,42817867,43110921,43188811,43608427,43643781,43712611,43879561,44203600,44218422,44272662,44434618,44461781,44637562,44809814,45140947,45328904,45390067,45501449,45799522,45890694,46078027,46118685,46151798,46368547,46402402,46621038,46751172,46774664,46903042,47037893,47152762,47340597,47541477,47965867,48003950,48102811,48218982,48543802,48801662,48853398,48877700,48910867,48939141,48985188,49193264,49218811,49283842,49334375,49431418,49729050,49873282,50025414,50123293,50235964,50460418,50627837,50704378,50787907,50789060,50992387,50995017,51041577,51066565,51252028,51315811,51322525,51579322,51644873,51831547,51909811,51987787,52118445,52304482,52352698,52411507,52593538,52621497,52705550,52903353,53026042,53044320,53252072,53486827,53522827,53600698,53648482,53772811,54077818,54193147,54284668,54399427,54636811,54714233,54743098,54885265,55290364,55305349,55310842,55342422,55499578,55593008,55614211,55923298,55959388,56115944,56141013,56289787,56438467,56486242,56580608,56614507,56780157,56918870,57043267,57140098,57279802,57326338,57403550,57428827,57535581,57558778,57604740,57642811,57826267,57883522,57959548,58232347,58253698,58299898,58315700,58404211,58530658,58644014,58653240,58690627,58872117,58990978,59034067,59144947,59166907,59201250,59210611,59361307,59424811,59466787,59590987,59631811,59674860,59682824,59908581,59928811,60005181,60154747,60173107,60180322,60299611,60439867,60608707,60722611,60861562,60946872,60954811,60999307,61057627,61072027,61105544,61198387,61279878,61309245,61370611,61433611,61445056,61458307,61539202,61587030,61588987,61625837,61667611,61854202,61928764,62024587,62078722,62196811,62216467,62241667,62305027,62377387,62381345,62392378,62405611,62413027,62423611,62471347,62481427,62483227,62504107,62542134,62563456,62586268,62883682,63061858,63130437,63148000,63195322,63246660,63516830,63653184,64014020,64024617,64125538,64213762,64224988,64332237,64345978,64514685,64609978,65002070,65204764,65396528,65677161,65692832,65862318,65931140,65964802,65984895,66000662,66224545,66773384,67143177,67196990,67463104,67475962,67480828,67595425,67647418,67728441,67788061,68170845,68302644,68491085,68500858,68543362,68565231,68743737,68760201,68815664,68884260,69097948,69114981,69125688,69390082,69420508,69684922,69716660,69937018,69978840,70020922,70383888,70439482,70564738,70803381,70895185,70939642,71022778,71028988,71041500,71298374,71363685,71591781,71609832,72179962,72274845,72385282,72517197,72539894,72555800,72715568,72876418,72917242,73268764,73476544,73571094,73608802,73730362,73778390,73806344,73892218,73897901,73904436,73966373,74013442,74506472,74617402,74644096,74857614,74859964,74938042,75120057,75206024,75217762,75243014,75777600,75895992,75909197,76012642,76121264,76179117,76190765,76220196,76249858,76443964,76816824,76823445,76879618,76946133,77075578,77093168,77232058,77417622,77433793,77500829,77766399,77969001,78002484,78130789,78163190,78165562,78185685,78590338,78649468,78726195,78890965,79117368,79181874,79204738,79311261,79469454,80004922,80118658,80534458,80561061,80636388,80829440,80873218,81036021,81098338,81114510,81135593,81625275,81770242,81805014,81813045,81945008,81969321,82030138,82189302,82547578,82587428,82661112,82694842,82704965,82707964,82805122,82915258,82988602,83032137,83135098,83186558,83398064,83645818,83659992,83819781,83900002,83974608,84189538,84470477,84606777,84873148,84980482,85058485,85074222,85181308,85249800,85382991,85515322,85586362,85636422,85677878,85958285,86418927,86522144,86679298,86729814,86749282,86889058,86993722,87066960,87167842,87181797,87202618,87267248,87322781,87410938,87618682,88032442,88036910,88135522,88388072,88534068,88856764,89007039,89462458,89563522,89630818,89765218,90263165,90266938,90358077,90597182,90632578,90689425,90731962,90765058,90924717,90933120,90981628,90991334,91137965,91325242,91428918,91448600,91652602,92108218,92188134,92261433,92528482,92860100,92871424,92993751,93010042,93265402,93556465,93583162,93646522,93795828,93822822,94117491,94286660,94307938,94471434,94526842,94669158,94807138,94900282,95650617,95701498,95880445,95884858,95906025,95915362,95995700,96189178,96425798,96461698,96522082,96823042,96974908,96995328,97143645,97182082,97337412,97469845,97520633,97582525,97775362,97950330,97981498,98175654,98370921,98384489,98391418,98420578,98478497,98648072,98740282,98946365,99243716,99245958,99373882,99386445,99436581,99545338,99886522,...,5370841899120978692384792520223978297179891818347183335760452887292944166902991920478062222923229198460375899082424373268955840703595530689340346739368267397788641212662496280975381212009651364707742584915242440559942217442162491074483762601476769574731316930564463305675317942375295189867391559569230062485905698040263966337877084926827281384700697055829384824667698977506392052346883471419855651096934407404974739702141060043435651790772734211049505805987007306538085873007947352588286254563727878224441365196482401857014962612433943616157075153714956592585546310529206877086316966110080583831950576899217517575091635932747021490161821879109239710400686830056459501866151218747476278275362496517615811968383155589746727345655350653801344909940364117119164803654192496771264898612617798412313799333285755882009158404330838176060805437280924163350739977971096408659228645596760068250162289764625583840189193047434129151409114447205390374950639658614399158981405021621760987456951212144495763204524885676720943230058452595485986914501985246384219250678721460440213514671187952194170312903359569724805275062447210081559717497133548944182409566467894457098155981819783659724810219177600382589146110037173954324616915943321822409470287276258490362003083158604861841512133711065486403241148963356522501226006921569817015558071832585509878557722769874341598462603904708835543674359382908082597176628015230869455257946110553061719737675849582920517782549694819648699649127846428051324202736604939241764707795806380733752228635606916031618838825412486675429690745428059444655916313594080139903532726267426437498426080609310776824398662436421141540790248552294965881666184198028327520997219102462132354142927926589085855965650750445214315139374818388058951725412053438627357020497456454485594271088972849928596355910744215371886596365318884374194896757643346072778153071806815239891713033522396200015786794663977561153874649810700687773632326582189283605290638656854044588303255455272163617805739230947666223976371777649089926092803935441228346711529720647731011578772483237746815983942924807535061646688770536985395992109571865999023081385027575400693948063329838231082096806201283741573853976489698281478215046516517847985083395110678620653024316556503867232644505222079553328754343486294211098539939708481620317705786588696804481800122158721394009098894182327817763383266945379237171823024689171285537509242822715738644870240152592190860448445261076692203769574094654904175264869507136195115777274009618893331361446683698}
15813  9834579275125018620171463654775882951779519556085426888566943540: {63236,331863,395075,474090,505696,568908,616083,868835,900087,1042602,1089303,1342235,1548106,1610682,1750803,1910711,2033943,2099671,2211580,2653896,2668003,2873962,2882067,2985633,2999530,3159400,3232235,3352407,3446403,3554325,3599436,3703835,3728247,3757306,3791280,3878682,3916023,4044032,4105660,4265190,4444602,4515082,4549536,4645955,4863628,4926792,5031587,5118228,5367580,5542641,5575146,5586635,5975223,6161847,6167243,6441096,6534807,6703962,6845482,6948040,7000467,7108211,7246233,7381591,7640908,7651383,7773131,7816545,7837143,8039563,8167306,8337648,8340743,8486547,8697031,8949687,9181667,9379854,9488122,9779260,10512587,10545130,10612023,10704147,10734635,11256387,11388106,11485090,11492936,11606385,11667580,11715927,11735112,12285911,12380144,12424330,12481027,12541587,12583451,12654156,12708202,12807676,12881562,12929553,13060235,13182423,13202001,13554460,13703443,13782108,13817125,13927662,13938631,13987955,14001096,14551683,14733843,14761306,14851307,14909196,14924923,15162082,15243991,15392325,15638602,15643203,15672282,15751233,15784211,16077082,16187667,16265352,16418480,16580550,16640727,16785546,17002743,17198251,17684435,17685920,17725623,17848663,18093628,18233985,18234547,18296680,18298521,18356883,18470790,18566458,18604955,18864508,18897027,19183403,19346487,19449584,19702176,19738750,19896660,19912330,19974723,19983035,20020471,20378716,20583765,20691267,20980087,21087580,21121738,21221322,21223104,21227667,21346967,21449531,21506188,21546691,21707125,21740551,21777130,21815435,21880782,21956016,22030647,22164948,22325946,22340860,22564887,22581911,22967260,23098263,23190442,23371516,23686500,23776636,23875992,23894796,23896707,23979642,23985303,24097835,24143626,24178547,24325063,24568930,24700518,24781587,24958882,25031203,25046583,25257562,25265600,25305096,25498090,25658908,25733866,25848040,26016387,26048550,26132556,26178522,26368323,26443811,26809032,26824835,26860491,27071043,27074705,27403402,27560712,27560716,27785120,28122243,28299427,28423800,28468233,28917402,29032042,29079045,29079223,29482716,29741987,30040467,30049306,30127043,30160161,30269578,30318720,30561603,30597708,30718987,31005801,31017648,31057930,31258260,31273228,31698346,31924552,31927363,31976775,32119827,32189802,32339968,32489646,32551287,32630242,32896023,33137435,33154323,33224188,33342144,33387880,33945163,34108560,34185363,34392106,34480955,34737244,34750090,34894854,35273386,35692762,35826106,35896083,35915121,36382464,36464458,36467176,36712955,36751507,37172823,37269516,37509912,37561365,37804471,38274963,38372130,38490556,38528727,38595863,38678150,38697783,38935955,39157963,39253066,39457347,39633851,39662791,39710103,39764922,39822635,39903347,40008538,40065456,40237384,40359787,40858444,40927831,40930272,41025573,41054487,41377146,41700108,41954842,41975187,42198651,42238108,42927580,42936311,43044106,43059543,43087906,43724823,44055546,44129962,44305683,44370731,44676040,44879767,44968083,45073638,45267057,45711447,45845962,45935507,46041207,46046556,46050076,46374988,46413780,46535127,46595563,46723146,47028183,47274387,47733922,47787162,47891338,48011703,48257043,48281116,48420483,48493090,48643882,48746347,49045835,49073884,49101451,49131148,49131580,49319176,49508032,49915955,50056042,50063047,50260545,50698563,50989660,51218435,51321585,51353867,51426807,51513096,51678922,51745642,51830547,51985978,52222471,52950035,53279043,53328513,53361802,53467351,53601707,53609596,53611248,53764424,54030922,54560067,54698506,54743024,54959127,55254500,55453402,55484073,55675923,55696536,55784482,56232087,56271931,56633404,56661130,56723356,56866263,57208867,57221962,57227267,57419907,57481228,57952233,58191708,58426711,58438965,58468330,58855002,58957896,58995267,59030216,59466003,59899146,60080771,60213706,60312654,60482967,60484977,60624226,60873027,60984407,61097125,61179383,61187592,61231485,61418103,61430122,61462122,61491580,61585902,61832563,62161384,62165531,62194858,62334896,62472247,62658603,62794955,63120796,63185011,63388636,63486325,63540042,63626122,63740823,63846562,63894903,63971907,64065035,64291976,64580551,64893611,64958986,65137864,65193163,65252188,65313584,65696087,65805271,65952227,66267322,66305400,66327633,66408993,66565090,66606106,66651927,66700552,66956343,67214721,67325626,67405687,67456522,67650106,67855835,67933811,67993356,68055436,68301178,68699283,68836041,69112955,69227697,69389143,69491260,69603603,69818587,69931557,69949235,70101187,70126758,70144930,70161996,70354563,70383031,70537804,70725760,70729143,70900247,71004971,71701882,72005925,72328473,72449435,72690826,72815703,72894625,72973306,73202493,73280097,73316550,73403107,73477782,73534651,73789896,73920107,73925763,74147127,74593575,74603530,74805523,74809923,74844407,74854684,75038121,75353946,75690627,75706876,76056567,76183590,76358842,76381930,76714108,76740887,76806320,76878042,77339563,77368983,77410955,77504362,77960458,78204320,78232835,78456723,78496156,78529047,78614506,78890307,78922807,78935000,78997511,79058325,79539063,79566480,79878108,79908322,80006908,80017525,80281235,80311162,80401047,80472723,81116727,81262496,81427002,81505955,81706504,81745660,81833947,82114647,82116040,82413925,82493818,82925431,82935546,82966263,83013633,83249367,83389512,83402647,83466730,83489443,83884947,83939082,84007811,84173916,84328880,84351035,84649367,84729363,84870912,85366156,85378305,85426423,85483847,85710147,85776316,85919703,85989507,86019580,86105325,86317063,86338167,86372435,86407110,86775635,86825283,86939322,87145825,87380547,87449847,87473550,87537211,87569548,87665227,87795987,87816424,87966021,87979860,88486467,88570666,88786235,88801875,89512290,89524236,89748058,89876311,90270483,90304588,90316987,90667402,90694750,90730771,90894460,91070192,91292343,91420308,91491562,91585955,91649131,91658316,91680268,91845680,91919817,92153308,92167584,92239063,92257930,92308803,92380545,92673443,92697826,92760682,92781303,92893146,93118083,93133090,93305120,93574955,93588567,93666346,93709883,93813201,93845184,93879402,93922823,94007530,94317562,94325523,94404508,94592787,94722000,94792983,94869990,95151580,95268922,95275245,95343347,95455708,95479776,95554955,95768071,96021030,96131527,96188307,96320643,96337482,96366460,96518967,96683626,96689596,96806026,96914967,96946603,97503105,97525771,97807146,98094792,98181898,98311835,98322667,98539248,98779511,98793477,98896710,98947203,99000993,99810152,...,8056262848681468038577188780335967445769837727520775003640679330939416250354487880717093334384843797690563848623636559903433761055393296034010520109052401096682961818993744421463071818014477047061613877372863660839913326163243736611725643902215154362096975395846694958512976913562942784801087339353845093728858547060395949506815627390240922077051045583744077237001548466259588078520325207129783476645401611107462109553211590065153477686159101316574258708980510959807128809511921028882429381845591817336662047794723602785522443918650915424235612730572434888878319465793810315629475449165120875747925865348826276362637453899120532235242732818663859565601030245084689252799226828121214417413043744776423717952574733384620091018483025980702017364910546175678747205481288745156897347918926697618470698999928633823013737606496257264091208155921386245026109966956644612988842968395140102375243434646938375760283789571151193727113671670808085562425959487921598738472107532432641481185426818216743644806787328515081414845087678893228980371752977869576328876018082190660320272006781928291255469355039354587207912593670815122339576245700323416273614349701841685647233972729675489587215328766400573883719165055760931486925373914982733614205430914387735543004624737907292762268200566598229604861723445034783751839010382354725523337107748878264817836584154811512397693905857063253315511539074362123895764942022846304182886919165829592579606513774374380776673824542229473049473691769642076986304104907408862647061693709571100628342953410374047428258238118730013144536118142089166983874470391120209855299089401139656247639120913966165236597993654631712311185372828442448822499276297042491281495828653693198531214391889883628783948476125667821472709062227582088427588118080157941035530746184681728391406633459274892894533866116323057829894547978326561292345136465019109167229607710222859837569550283594300023680191995966341730811974716051031660448489873283925407935957985281066882454883182908245426708608846421499335964557666473634889139205903161842520067294580971596517368158724856620223975914387211302592470033155805478093988164357798998534622077541363101040922094994757346623145209301925612360780964734547422217322569774776771977625092666017930979536474834755800848966757833119329993131515229441316647809909562722430476558679883045206722700183238082091013648341273491726645074900418068855757734537033756928306263864234073607967305360228888286290672667891615038305654361141982356262897304260704292673665911014428339997042170025547}
15814  9877870097376631479086800162597294198422251857134486376935679280: {79045,94854,173833,268549,363193,442484,632120,646693,711135,741049,758544,821444,835333,853362,1200116,1305673,1390136,1452404,1563903,2054473,2147576,2297894,2322159,2334404,2416023,2485814,2613049,2705893,2711924,2764475,3317370,3538528,3630373,3842756,3949250,3980844,4089913,4310943,4469876,4499295,4595204,4729622,4739100,4799248,4912549,4970996,5055040,5101574,5132075,5171576,5221364,5367049,5399154,5457733,5635959,5686920,5818023,5926136,6028934,6066048,6079535,6158490,6180613,6397785,6569056,6583622,6630073,6666903,6709475,6772623,6824304,7137014,7295442,7390188,7433528,7677342,7966964,8051370,8215796,8362719,8423222,8588128,8685050,8713076,8938249,8938616,9333956,9551135,9661644,9725893,9900133,10055943,10056319,10201844,10247749,10268223,10334473,10422060,10449524,10832626,11116864,11315396,11455333,11461362,11517494,11932916,11968549,12224075,12250959,12506472,12818149,12902713,12959222,13497494,14069781,14079049,14149364,14213174,14232183,14272196,14366170,14412553,14578873,14584475,14668890,15008516,15241273,15282374,15475180,15621236,15646816,15652933,15817695,15992294,16009595,16062793,16144549,16523222,16722116,16872208,16943075,17018386,17082159,17175416,17227635,17239404,17281573,17362249,17405222,17442853,17501370,17576564,17602668,17844793,18376144,18563749,18570216,18633974,18636495,18668128,18808934,18981234,19062303,19211514,19322343,19402244,19645124,19749049,19878928,20331690,20377094,20523100,20530249,20673162,20857604,20891493,20896376,20897222,21001644,21304249,21381253,21583556,21611833,21687136,22107400,22141959,22187636,22277894,22363794,22375753,22380728,22617035,22621622,22670324,22743123,22830649,22870850,23207749,23457903,23508423,23580635,23634164,24115623,24311980,24398028,24402373,24475844,24627720,24841814,24870825,25178319,25196036,25473395,25795316,25797049,26269568,26359475,26364614,26448613,26520649,26528880,26592613,26632964,26808073,26882735,27140442,27308293,27445020,27588356,27706185,27849687,27926075,27933983,28295096,28296762,28297472,28303556,28368313,28709075,29174376,29214395,29274688,29374196,29375222,29553264,29608125,29720795,29767928,29844990,29868495,30086516,30371749,30533414,30568074,30797684,31582000,31631370,31651513,31682607,31718149,31831983,31834656,31859728,31862276,31908779,31972856,31980404,32073635,32116453,32259282,32310050,32380549,32665695,32709049,32821173,32934024,33035749,33042116,33154214,33247422,33395444,33488919,33511290,33740128,34450890,34450895,34688516,34731400,34785663,34843408,34904696,35021113,35057274,35157764,35207711,35272249,35334853,35522233,35529750,35664954,35745376,35813988,35842194,35969463,36094724,36203749,36215439,36262127,36378374,36747616,36853395,37050777,37058533,37175414,37420549,37438323,37480633,37496324,37886343,37898400,37957644,38247135,38344163,38488362,38556536,38600799,38667193,38772060,39072825,39091535,39198834,39267783,39310288,39858422,39905690,40053049,40053956,40213548,40393033,40424960,40748804,40796944,40951094,41105103,41341068,41341074,41356864,41507593,41530235,41677680,41734850,42191222,42324613,42635700,42653894,42807049,42826436,42919736,43019593,43154279,43319528,43376103,43388773,43401716,43421555,43548063,43728422,43861364,44116549,44205764,44224074,44456192,44576953,44830213,45073959,45404367,45478080,45580484,45583970,45677833,45896562,45923173,46311973,46526472,46552633,46586895,46600549,46839049,46887390,46909842,47043871,47059574,47209334,47263813,47310649,47357413,47547519,47861444,47886828,47900146,48113195,48277573,48284703,48458149,48509952,48734469,48904549,48945363,48995222,49563764,49692688,49836282,50013216,50027414,50081820,50158393,50296730,50368453,50467622,50659513,50865253,51033284,51073055,51162840,51371636,51588159,51597044,51651439,51827749,51857663,51866953,52105866,52125135,52342281,52360214,52370053,52609796,52786249,52797635,52910079,52946804,53019896,53339749,53420608,53539143,53656214,53659475,53664073,53739159,53877049,54391211,54534373,54543034,54573696,54696687,54700764,54739316,54903049,55169528,55600144,55845050,55904274,55966916,55987513,56020151,56139973,56170249,56255479,56264868,56494454,56586553,56615749,56644873,56731813,56995631,57149386,57156793,57195014,57334694,57412724,57431113,57558195,57562595,57698233,57735834,57968735,58017225,58110649,58299764,58308422,58362983,58585334,58600249,58740728,58811173,58879599,58925833,59061049,59074244,59119511,59236619,59412614,59647383,59817913,59957444,59992549,60011593,60012807,60098184,60105733,60351395,60356076,60371222,60464293,60515593,60599653,60948133,60948596,61287666,61301833,61342355,61388276,61395408,61413935,61414475,61430713,61599049,61648970,61655749,61666873,61885040,61902853,61949113,62002249,62046836,62065719,62297528,62312713,62368549,62373193,62386693,62411749,62415673,62450953,62473993,62479033,62488249,62519749,62520649,62550162,62704244,62932263,63032516,63357162,63716216,63737075,63737222,64015604,64342724,64391370,64560644,64566159,64631859,64890122,65360867,65974694,66083319,66194943,66624854,67011995,67013222,67014060,67205530,67598084,67610457,68428780,68553734,68569076,68684128,68768943,69068125,69069834,69075114,69107396,69306562,69562482,69620670,70084719,70791755,70904195,71038724,71075174,71104684,71199734,71481664,71493191,71600883,71680743,71820374,71837007,71851535,72421674,72739635,72746756,72928454,72965823,73278836,73539014,73610826,73696722,73697370,73787770,73978764,74234564,74262048,74976116,75084063,75763127,75821684,76301222,76484490,76559876,76839371,76864475,77269644,77518383,77588944,77618463,77701730,77828774,77918620,77978967,78473336,78610528,78660356,78900995,78987254,79235795,79288004,79686418,79865528,80042703,80113163,80364970,80414394,80416872,80643956,80646636,81046383,81164036,81261014,81422330,81565235,81583456,81641980,81820454,81890804,81942047,81949496,82043222,82047759,82114536,82597622,82881750,83180103,83375690,83544804,83676723,83695622,84239222,84720056,84950106,84987764,84991695,84994214,85069295,85085034,85193204,85295876,85635734,85832943,86221842,86377622,86543651,86864075,87216854,87287562,87333883,87425222,87702495,87759122,88172255,88282503,88407200,88436844,88545324,88869236,88923562,89275124,89619628,89848719,90281894,90320559,90468981,90657808,90780134,90936339,91002898,91599044,91781388,92145183,92156054,92193183,92237370,92303596,92336387,92378853,92714363,92737094,92804804,93242076,93292287,93502344,93549328,93568355,93806084,94075786,94305524,94633595,94681194,95082954,95310063,95439183,95769843,95887519,95892635,95931734,96007900,96205622,96437964,97087604,97438479,97603324,97706796,97755400,97821734,97878282,97970376,98120195,98386528,98437622,98567684,98668750,98862836,99253259,99400983,99458100,99746564,99847635,99909159,...,10741683798241957384769585040447956594359783636694366671520905774585888333805983840956124445846458396920751798164848746537911681407191061378680693478736534795577282425324992561950762424019302729415485169830484881119884434884324982148967525202953539149462633861128926611350635884750590379734783119138460124971811396080527932675754169853654562769401394111658769649335397955012784104693766942839711302193868814809949479404282120086871303581545468422099011611974014613076171746015894705176572509127455756448882730392964803714029925224867887232314150307429913185171092621058413754172633932220161167663901153798435035150183271865494042980323643758218479420801373660112919003732302437494952556550724993035231623936766311179493454691310701307602689819880728234238329607308384993542529797225235596824627598666571511764018316808661676352121610874561848326701479955942192817318457291193520136500324579529251167680378386094868258302818228894410780749901279317228798317962810043243521974913902424288991526409049771353441886460116905190971973829003970492768438501357442920880427029342375904388340625806719139449610550124894420163119434994267097888364819132935788914196311963639567319449620438355200765178292220074347908649233831886643644818940574552516980724006166317209723683024267422130972806482297926713045002452013843139634031116143665171019757115445539748683196925207809417671087348718765816165194353256030461738910515892221106123439475351699165841035565099389639297399298255692856102648405473209878483529415591612761467504457271213832063237677650824973350859381490856118889311832627188160279807065452534852874996852161218621553648797324872842283081580497104589931763332368396056655041994438204924264708285855853178171711931301500890428630278749636776117903450824106877254714040994912908971188542177945699857192711821488430743773192730637768748389793515286692145556306143613630479783426067044792400031573589327955122307749299621401375547264653164378567210581277313708089176606510910544327235611478461895332447952743555298179852185607870882456693423059441295462023157544966475493631967885849615070123293377541073970791984219143731998046162770055150801387896126659676462164193612402567483147707952979396562956430093033035695970166790221357241306048633113007734465289010444159106657508686972588422197079879416963240635411573177393608963600244317442788018197788364655635526766533890758474343646049378342571075018485645431477289740480305184381720896890522153384407539148189309808350529739014272390231554548019237786662722893367396}
15815  9921349987572748622757366365871467301265821040559324975212862425: {126472,142281,553105,663726,790150,948180,1011392,1026805,1137816,1216369,1232166,1280043,1500145,1737670,1800174,1815505,1879129,2085204,2178606,2258113,2684470,2918005,2952169,3096212,3221364,3389905,3446841,3501606,3728721,3821422,4067886,4199342,4423160,4525129,4803445,4976055,5185369,5307792,5336006,5378593,5587345,5744005,5747924,5764134,5923875,5946421,5971266,5999060,6213745,6318800,6417169,6464470,6504337,6526705,6704814,6892801,6892806,7094433,7108650,7198872,7407670,7454953,7456494,7514612,7582560,7652361,7757364,7821289,7832046,8088064,8098731,8211320,8309209,8400613,8530380,8687617,8889204,9030164,9043401,9099072,9237735,9291910,9727256,9853584,9875433,9913669,9958705,10063174,10236456,10269745,10705521,10735160,10851061,10891345,10943163,11085282,11150292,11173270,11237593,11516013,11598169,11667445,11950446,12077055,12287473,12323694,12334486,12631993,12634833,12752305,12882192,13027575,13061905,13069614,13407924,13690964,13896080,14000934,14063857,14144245,14216422,14492466,14519713,14763182,14916145,15028489,15281816,15302766,15546262,15575761,15633090,15674286,15786217,16079126,16248939,16319269,16334612,16675296,16681486,16898677,16973094,17192043,17276241,17394062,17641177,17686705,17840245,17899374,17917609,18284329,18363334,18759708,18760645,18976244,18982489,19185841,19343975,19438833,19526545,19558520,19583137,20246241,20902645,21025174,21090260,21224046,21319761,21349681,21408294,21452257,21469270,21549255,21970705,22003335,22070593,22512774,22776212,22923561,22928809,22970180,22985872,23212770,23335160,23431854,23470224,23610169,23873029,23988441,24181621,24252805,24556405,24571822,24758209,24760288,24784833,24848660,24962054,25083174,25166902,25308312,25416404,25527579,25615352,25653875,25763124,25846033,25859106,26046937,26072005,26107833,26120470,26252055,26364846,26404002,26447173,26687713,26908897,26979445,27022369,27108920,27356209,27406886,27564216,27634250,27733753,27734545,27855324,27877262,27950961,27975910,27976249,28002192,28044313,28213401,28337905,28471851,28817271,29103366,29467686,29522612,29542705,29702614,29818392,29849846,30305929,30324164,30389975,30487982,30497535,30541609,30565641,30594805,30784650,31009743,31277204,31286406,31344564,31345833,31495045,31502466,31568422,32154164,32244145,32375334,32530704,32836960,33161100,33281454,33291205,33416841,33545691,33571092,33671401,33736969,33820369,33833689,33932433,34005486,34306275,34396502,34485445,34890409,35149621,35368870,35371840,35379445,35451246,35697326,36187256,36467970,36469094,36474469,36593360,36597042,36713766,36717745,36941580,37132916,37209910,37262721,37554769,37608145,37729016,37794054,37904587,38220193,38366806,38497105,38692974,38899168,39317281,39404352,39477500,39546921,39638917,39793320,39824660,39827845,39949446,39966070,39975505,40040942,40165849,40710663,40749721,40757432,41167530,41302645,41382534,41744305,41745829,41960174,42175160,42243476,42442644,42445143,42446208,42455334,42693934,42899062,43012376,43093382,43360645,43414250,43481102,43554260,43630870,43761564,43912032,43947205,44061294,44062833,44296657,44329896,44651892,44681720,44767485,44960113,45118405,45129774,45163822,45800121,45852111,45934520,46196526,46380884,46392409,46743032,46845121,46870405,47158501,47186593,47310769,47373000,47447055,47528617,47553272,47751984,47789592,47793414,47959284,47970606,48195670,48273337,48287252,48357094,48388923,48465075,48650126,48651937,49103473,49137860,49401036,49563174,49590817,49731321,49871133,49917764,49991953,50062406,50067445,50093166,50266935,50515124,50531200,50610192,50675929,50742913,50936005,50996180,51317816,51398137,51467732,51676335,51696080,52032774,52097100,52247749,52265112,52333369,52357044,52585911,52736646,52887622,53001553,53294625,53497431,53533045,53608561,53618064,53649670,53720982,53763291,54142086,54149410,54252145,54321193,54510337,54567561,54806804,54826705,54895513,55121424,55121432,55257205,55570240,55751689,55763121,56244486,56337193,56598854,56847600,56936466,56975605,57336169,57732543,57834804,58064084,58158090,58158446,58593121,58798251,58965432,59483974,59787633,59826805,59858535,59996233,60018841,60080934,60098612,60254086,60320322,60539156,60610117,60637440,61123206,61195416,61426641,61437974,61954705,62011602,62011611,62035296,62041489,62115860,62148001,62173477,62516520,62546456,62602275,63073057,63216217,63286833,63396692,63791605,63849104,63854726,63953550,63980841,64214545,64239654,64379604,64496305,64679936,64979292,65102574,65260484,65585257,65592633,65664721,65762245,65792046,66178633,66183505,66274870,66308646,66336111,66448376,66452809,66684288,66775760,67149097,67546681,67890326,67898629,67923073,68059153,68217120,68370726,68375955,68424145,68535193,68664169,68731129,68784212,68844843,68961910,68971921,69474488,69500180,69789708,69882337,69958645,70331085,70364763,70546772,70589361,70814001,71158837,71238673,71385524,71444089,71532889,71652212,71705809,71765905,71792166,71830242,71850219,72072481,72557413,72764928,72874705,72883393,72928916,72934352,73425910,73492833,73503014,73842805,74130049,74345646,74371249,74539032,74754423,74854153,74946805,75019824,75041121,75122730,75445095,75608942,75614593,75642817,75701433,75841009,76185745,76549926,76735345,76744260,76981112,77057454,77191726,77356300,77395566,77558545,77871910,77943541,78158799,78315926,78380305,78506132,78540321,78759169,78790645,78914694,79267702,79284229,79325582,79342273,79358497,79420206,79529844,79645270,79806694,79853401,80017076,80019505,80130912,80285413,80428405,80474768,80484321,80700805,80719574,81015937,81222793,81473929,81716888,81814551,81855662,81860544,82051146,82108974,82267417,82705513,82754292,83380681,83400216,83767575,83791201,83833333,83856411,83909684,83950374,84018553,84397302,84476216,84497605,84741681,85535975,85711345,85724079,85792521,85855160,85872622,86002041,86088212,86119086,86162677,86175812,86199193,86384245,86603751,87032809,87449646,87462633,87878001,87912937,88105753,88111092,88259924,88452481,88576069,88611366,88741462,88798405,88880855,89118921,89352080,89691049,89718193,89759534,89936166,90147276,90534114,90556833,90830113,90933445,91145449,91422894,91598545,91691924,91871014,91931499,92082414,92093112,92100152,92290273,92473455,92749976,92793205,92827560,93070254,93191126,93361129,93446292,93720145,93721861,93825243,94056366,94224217,94387513,94548774,94777105,94998169,95035743,95467844,95574324,95605833,95678473,95699845,95782676,96023406,96514086,96562232,96587055,96645769,96758137,96840966,96986180,97287764,97335183,97398275,97492694,97928929,98091670,98147768,98202902,98256169,98262296,98263160,98325445,98638352,98792137,98962041,99016064,99110005,99831910,99937281,...,16112525697362936077154377560671934891539675455041550007281358661878832500708975761434186668769687595381127697247273119806867522110786592068021040218104802193365923637987488842926143636028954094123227754745727321679826652326487473223451287804430308724193950791693389917025953827125885569602174678707690187457717094120791899013631254780481844154102091167488154474003096932519176157040650414259566953290803222214924219106423180130306955372318202633148517417961021919614257619023842057764858763691183634673324095589447205571044887837301830848471225461144869777756638931587620631258950898330241751495851730697652552725274907798241064470485465637327719131202060490169378505598453656242428834826087489552847435905149466769240182036966051961404034729821092351357494410962577490313794695837853395236941397999857267646027475212992514528182416311842772490052219933913289225977685936790280204750486869293876751520567579142302387454227343341616171124851918975843197476944215064865282962370853636433487289613574657030162829690175357786457960743505955739152657752036164381320640544013563856582510938710078709174415825187341630244679152491400646832547228699403683371294467945459350979174430657532801147767438330111521862973850747829965467228410861828775471086009249475814585524536401133196459209723446890069567503678020764709451046674215497756529635673168309623024795387811714126506631023078148724247791529884045692608365773838331659185159213027548748761553347649084458946098947383539284153972608209814817725294123387419142201256685906820748094856516476237460026289072236284178333967748940782240419710598178802279312495278241827932330473195987309263424622370745656884897644998552594084982562991657307386397062428783779767257567896952251335642945418124455164176855176236160315882071061492369363456782813266918549785789067732232646115659789095956653122584690272930038218334459215420445719675139100567188600047360383991932683461623949432102063320896979746567850815871915970562133764909766365816490853417217692842998671929115332947269778278411806323685040134589161943193034736317449713240447951828774422605184940066311610956187976328715597997069244155082726202081844189989514693246290418603851224721561929469094844434645139549553543955250185332035861959072949669511601697933515666238659986263030458882633295619819125444860953117359766090413445400366476164182027296682546983453290149800836137711515469074067513856612527728468147215934610720457776572581345335783230076611308722283964712525794608521408585347331822028856679994084340051094}
15816  9965019764966806222021090410097671681951684395960421942458449166: {110663,158090,189708,205439,300143,347666,457823,537098,678239,726386,884968,995589,1055183,1185225,1243223,1264240,1293386,1305839,1399703,1422270,1482098,1517088,1642888,1670666,1706724,1848249,2148023,2334383,2400232,2606505,2611346,2613383,2700261,2706239,2780272,2904808,3076943,3127806,3267909,3630839,3870265,3998663,4026705,4108946,4295152,4595788,4644318,4668808,4832046,4971628,5226098,5252409,5397983,5411786,5423848,5528950,5732133,5760239,6001103,6101829,6299013,6634740,6660839,6750503,6810239,7019063,7077056,7167983,7184905,7260746,7465223,7498825,7685512,7702439,7791263,7898500,7961688,8004009,8179826,8352143,8499263,8511349,8621886,8646201,8939752,8956899,8998590,9114983,9190408,9377783,9393265,9459244,9478200,9598496,9696705,9756239,9825098,9941992,10057221,10110080,10203148,10249103,10264150,10339209,10343152,10442728,10662975,10710863,10734098,10798308,10915466,11055839,11111505,11141903,11184741,11199239,11271918,11287705,11373840,11636046,11748069,11852272,12057868,12132096,12159070,12316980,12361226,12795570,12848063,13101503,13138112,13167244,13242023,13260146,13333806,13371589,13418950,13545246,13648608,13690343,13830023,13937865,13941623,14080943,14274028,14590884,14780376,14867056,15078143,15094761,15270839,15354684,15490583,15682439,15764543,15933928,16092239,16102740,16228439,16418783,16431592,16627923,16725438,16759905,16846444,17041439,17113705,17176256,17364623,17370100,17426152,17847239,17876498,17877232,17925669,18327263,18485541,18501729,18592823,18645839,18667912,18831143,19102270,19226903,19323288,19451786,19604421,19751783,19800266,20111886,20112638,20299463,20403688,20418265,20495498,20533103,20536446,20559023,20668946,20791943,20844120,20899048,21001401,21324633,21332903,21384239,21665252,21738699,21768239,22144773,22233728,22328183,22413433,22630792,22859063,22910666,22922724,22954149,22984943,23034988,23319393,23449635,23461463,23511429,23536439,23586383,23720305,23865832,23937098,24108863,24118689,24405839,24448150,24501918,24726263,25012944,25020839,25022229,25069823,25459641,25636298,25805426,25918444,26091093,26362825,26596439,26835839,26849061,26994988,27478223,27545001,27832583,27950303,28139562,28158098,28255439,28298728,28426348,28464366,28470265,28544392,28652423,28712725,28732340,28825106,29139623,29157746,29168950,29232023,29337780,29989439,30017032,30398903,30482546,30564748,30950360,31008239,31060825,31242472,31293632,31305866,31522703,31537761,31611743,31635390,31663849,31770505,31836069,31984588,32019190,32112441,32125586,32187383,32203905,32289098,32385383,33012889,33040703,33046444,33322439,33444232,33744416,33769161,33817583,33886150,33903263,34036772,34164318,34350832,34455270,34478808,34563146,34710839,34724498,34810444,34819155,34885706,34963463,35002740,35147781,35153128,35205336,35298503,35486063,35548439,35662753,35689586,35962439,36106583,36752288,36780839,36821423,36857733,36882239,36903265,37023863,37127498,37140432,37267948,37272990,37336256,37426343,37443081,37546463,37617868,37624761,37626383,37635829,37726103,37750353,37905205,37962468,38083439,38124606,38423028,38644686,38788659,38804488,39096505,39180705,39290248,39498098,39547269,39601943,39606003,39757856,40021439,40078343,40192705,40399439,40663380,40754188,40900153,41046200,41060498,41110329,41293583,41346324,41422439,41451375,41477543,41569223,41609113,41697239,41715208,41782986,41792752,41794444,41815893,41843063,41963865,42003288,42277463,42608498,42762506,42831743,42855241,43167112,43223666,43343303,43374272,43448303,43518143,43655049,44089439,44201529,44214800,44283918,44375272,44482463,44553921,44555788,44601239,44727588,44751506,44761456,44774769,44803943,44903089,44904863,44988743,45234070,45243244,45315829,45340648,45388583,45486246,45487823,45661298,45731973,45741700,46044743,46174439,46176975,46287503,46384103,46415498,46416145,46528463,46624343,46704023,46915806,46929609,47016846,47161270,47177903,47253699,47268328,47287439,47352633,47474303,47829239,48027983,48231246,48231253,48240503,48331103,48481463,48563001,48623960,48796056,48804746,48927743,48951688,49001423,49255440,49346875,49439303,49497143,49683628,49712903,49741650,49780825,49869983,49922181,50040239,50356638,50391239,50392072,50557943,50668439,50946790,51008229,51037583,51590632,51594098,51594753,51613439,51850103,51876239,51967463,52264439,52392239,52430423,52455839,52539136,52620263,52718950,52729228,52804345,52808303,52897226,52957439,53041298,53053305,53057760,53176869,53185226,53265928,53349503,53545989,53616146,53685839,53765470,53828063,53898743,54280884,54442825,54521903,54578423,54616586,54690863,54701955,54703641,54728149,54890040,54895563,54946439,55070649,55143503,55176712,55251863,55348703,55412370,55699374,55750439,55814865,55852150,55867966,56181023,56331383,56590192,56593524,56594944,56607112,56636423,56655839,56691081,56736626,56752439,56867303,57009263,57037439,57065543,57084239,57315239,57388103,57418150,57424343,57451439,57469463,57550209,57585839,57735983,57823223,57875183,57976105,58003823,58039461,58122263,58142329,58272239,58296983,58348752,58370783,58428790,58549376,58748392,58750444,58846223,59005823,59073143,59106528,59147183,59169239,59216250,59441590,59526239,59535856,59608943,59629439,59689980,59717423,59736990,59850143,59876303,59924169,59949105,60061413,60068423,60087239,60118439,60173032,60198623,60253343,60359065,60477239,60743498,60764903,60790177,60843863,60976463,61026023,61050503,61066828,61136148,61286329,61315439,61422325,61485839,61595368,61616783,61650983,61669703,61706543,61735439,61751295,61832543,61849223,61888439,61898063,61926503,62016623,62025239,62045063,62061743,62073801,62094239,62107439,62223983,62245943,62271239,62359223,62369183,62388239,62392823,62397205,62406143,62424239,62430839,62445863,62469383,62479343,62492783,62502239,62503703,62513663,62529239,62533439,62534783,62535623,62535839,62610757,62940261,63143905,63164000,63262740,63303026,63365214,63436298,63663966,63669312,63683001,63719456,63724552,63745225,63817558,63945712,63960808,64040901,64147270,64232906,64334665,64348593,64518564,64620100,64640073,64761098,65121375,65221653,65331390,65418098,65446305,65642346,65868048,66071498,66084232,66091941,66205633,66308428,66494844,66790888,66977838,67022580,67358473,67480256,67694661,67745733,68508505,68901780,68901790,69294789,69377032,69462800,69571326,69686816,69809392,69868513,70042226,70114548,70315528,70415422,70544498,70669706,71044466,71059500,71329908,71490752,71502277,71627976,71684388,71690121,71938926,71955909,72189448,72293505,72407498,72430878,72524254,72535641,72580105,72756748,72975189,73495232,73706790,73916689,74101554,74117066,74344761,74350828,74841098,74876646,74961266,74992648,75093609,75123265,75139749,75673945,75772686,75796800,75915288,76494270,76688326,76976724,77113072,77201598,77244661,77334386,77544120,77644825,78049161,78145650,78183070,78397668,78535566,78620576,79104969,79245865,79331433,79716844,79811380,80106098,80107912,80427096,80474505,80581473,80587633,80786066,80849920,81156229,81213129,81224115,81497608,81575605,81593888,81902188,82210206,82682136,82682148,82713728,83015186,83060470,83355360,83469700,84366729,84382444,84491953,84649226,84898281,85271400,85307788,85404699,85614098,85652872,85839472,85879297,85979509,85980265,86039186,86308558,86639056,86752206,86777546,86803432,86843110,86875225,87096126,87237135,87237669,87456844,87722728,88183465,88233098,88411528,88448148,88912384,89153906,89225961,89231905,89538241,89565265,89660426,90121401,90147918,90381129,90480483,90808734,90956160,91160968,91161145,91167940,91355666,91684809,91793124,91846346,92156961,92623946,93017403,93052944,93105266,93173790,93201098,93678098,93774780,93816793,93819684,94087742,94119148,94418668,94527626,94621298,94714826,95095038,95722888,95773656,95782089,95800292,95930325,96226390,96359481,96555146,96569406,96695375,96725257,96840601,96916298,97019904,97468938,97653861,97809098,97890726,97990444,98132665,98688069,99108457,99127528,99265873,99385376,99412305,99462969,99672564,...,24168788546044404115731566341007902337309513182562325010922037992818248751063463642151280003154531393071691545870909679710301283166179888102031560327157203290048885456981233264389215454043431141184841632118590982519739978489731209835176931706645463086290926187540084875538930740688828354403262018061535281186575641181187848520446882170722766231153136751232231711004645398778764235560975621389350429936204833322386328659634770195460433058477303949722776126941532879421386428535763086647288145536775452009986143384170808356567331755952746272706838191717304666634958397381430946888426347495362627243777596046478829087912361697361596705728198455991578696803090735254067758397680484363643252239131234329271153857724200153860273055449077942106052094731638527036241616443866235470692043756780092855412096999785901469041212819488771792273624467764158735078329900869933838966528905185420307125730303940815127280851368713453581181341015012424256687277878463764796215416322597297924443556280454650230934420361985545244244535263036679686941115258933608728986628054246571980960816020345784873766408065118063761623737781012445367018728737100970248820843049105525056941701918189026468761645986299201721651157495167282794460776121744948200842616292743163206629013874213721878286804601699794688814585170335104351255517031147064176570011323246634794453509752464434537193081717571189759946534617223086371687294826068538912548660757497488777738819541323123142330021473626688419148421075308926230958912314722226587941185081128713301885028860231122142284774714356190039433608354426267500951623411173360629565897268203418968742917362741898495709793980963895136933556118485327346467497828891127473844487485961079595593643175669650886351845428377003464418127186682746265282764354240473823106592238554045185174219900377824678683601598348969173489683643934979683877035409395057327501688823130668579512708650850782900071040575987899025192435924148153094981345469619851776223807873955843200647364649548724736280125826539264498007893672999420904667417617709485527560201883742914789552104476174569860671927743161633907777410099467416434281964493073396995603866232624089303122766284984272039869435627905776837082342894203642266651967709324330315932875277998053792938609424504267402546900273499357989979394545688323949943429728688167291429676039649135620168100549714246273040945023820475179935224701254206567273203611101270784918791592702220823901916080686664858872018003674845114916963083425947068788691912782112878020997733043285019991126510076641}
15817 10008880252334273263540082146723382315452411728959610207246669103: {15817,237135,252944,284562,521499,774347,805647,1089579,1106210,1327452,1437527,1580300,1896360,1940079,2022784,2053610,2100203,2133405,2223147,2275632,2432738,2464332,2505999,2541707,2560086,2668679,3000290,3299483,3475340,3488927,3600348,3631010,3758258,3917019,4085207,4170408,4357212,4516226,4691709,4745867,5368940,5744735,5836010,5904338,6163419,6192424,6214535,6356519,6442728,6724823,6779810,6893682,6966477,7003212,7248069,7457442,7583927,7642844,7822283,7839147,8041607,8117679,8135772,8293425,8398684,8699243,8810399,8846320,9050258,9137387,9286763,9606890,9873125,9952110,10370738,10615584,10672012,10757186,10891119,11079983,11174690,11488010,11495848,11528268,11599643,11824055,11847750,11892842,11942532,11998120,12269739,12427490,12633599,12637600,12753935,12834338,12928940,12932829,13008674,13053410,13409628,13497885,13666763,13706927,13785602,13785612,13942187,14188866,14217300,14377643,14397744,14521559,14737647,14815340,14909906,14912988,14928719,15029224,15072335,15165120,15247883,15304722,15396225,15514728,15642578,15664092,16101147,16176128,16197462,16321343,16334423,16373199,16422640,16459055,16618418,16801226,16907877,17060760,17375234,17454069,17643419,17778408,17842535,17853227,17919887,18060328,18064103,18086802,18198144,18238605,18239183,18286667,18475470,18541839,18583820,19193355,19454512,19517207,19707168,19750866,19801943,19827338,19890219,19917410,20000709,20025563,20126348,20128425,20317869,20472912,20539490,20882603,21058055,21215723,21411042,21470320,21702122,21712625,21782690,21886326,21903563,22073399,22170564,22300584,22346540,22475186,22931723,23032026,23196338,23334890,23876063,23900892,23954843,24154110,24235307,24574946,24647388,24668972,24761387,24976343,25037567,25088157,25263986,25269666,25504610,25764384,25849319,26055150,26123810,26139228,26264903,26814747,26815848,27025823,27081565,27337163,27359687,27381928,27737279,27792160,27821063,27902927,28001868,28047899,28127714,28288490,28432844,28653405,28764683,28793735,28984932,29039426,29086619,29177679,29263703,29526364,29700399,29832290,30056978,30167829,30168957,30563632,30605532,30743247,30758987,30804669,30840647,31003419,31092524,31151522,31266180,31348572,31572434,31784267,31935527,32158252,32398055,32497878,32638538,32669224,33143279,33350592,33362972,33743735,33797354,33946188,33953927,34163723,34365999,34378967,34384086,34552482,34788124,35282354,35373410,35532935,35680490,35798748,35835218,35905647,35915425,36500807,36568658,36672225,36726668,36752877,37006943,37519416,37521290,37771223,37814123,37952488,37964978,38205935,38225099,38371682,38454447,38687950,38708139,38828363,38877666,38995163,39053090,39117040,39166274,39673067,39969527,39980735,40170983,40492482,40765583,41308055,41359787,41751167,41805290,42050348,42180520,42209343,42237147,42448092,42545965,42639522,42696549,42699362,42816588,42832727,42904514,42938540,43098510,43237659,43513055,43736619,43753425,43941410,44006670,44093063,44141186,44302319,44891243,45025548,45141803,45169319,45552424,45723819,45763307,45847122,45857618,45940360,45971744,46425540,46584935,46607687,46657103,46670320,46863708,46940448,46958799,47022335,47220338,47453085,47746058,47976882,48028785,48059663,48188379,48279623,48363242,48433647,48505610,49112810,49143644,49516418,49520576,49531223,49561319,49569666,49697320,49924108,50075819,50166348,50333804,50616624,50829225,50832808,50942735,51055158,51206567,51230704,51246477,51307750,51404843,51526248,51682905,51692066,51718212,51844719,52007243,52086747,52093874,52144010,52215666,52240940,52243055,52328559,52504110,52651403,52729692,52778183,52808004,52894346,53120219,53134679,53342399,53375426,53534379,53817794,53895947,53958890,54044738,54217840,54328139,54712418,54813772,55128432,55268500,55467506,55469090,55691247,55694735,55710648,55754524,55758983,55901922,55909485,55912727,55951820,55952498,55965707,56004384,56088626,56286287,56426802,56554055,56637803,56675810,56943702,57177125,57186909,57634542,57679463,57823703,57967029,58206732,58394543,58442027,58592423,58935372,59045224,59081399,59085410,59247147,59405228,59636784,59699692,60611858,60648328,60704903,60779950,60975964,60995070,61083218,61131282,61189610,61526087,61569300,61590747,61848527,62019486,62104535,62327243,62355383,62554408,62572812,62638199,62674479,62689128,62691666,62990090,63004932,63081119,63136844,63165767,63201143,63745223,63912747,64143759,64308328,64315163,64488290,64750668,64835499,65061408,65503727,65618567,65673920,65911535,66322200,66425877,66461303,66562908,66580319,66582410,66833682,67091382,67127259,67142184,67342802,67422923,67473938,67640738,67667378,67740719,67760927,67851105,67864866,68010972,68229369,68491947,68612550,68793004,68970890,69252839,69406859,69623247,69780818,69836399,70015823,70094423,70299242,70373709,70400987,70525269,70653419,70737740,70741905,70743680,70758890,70902492,70904639,71310407,71394652,72083867,72346869,72374512,72935940,72938188,72948938,73079819,73186720,73194084,73207119,73221599,73427532,73435490,73438055,73883160,74265832,74419820,74525442,74585003,74612475,74946263,75109538,75216290,75458032,75534957,75588108,75624299,75809174,75843947,75850703,75886703,75953003,76066343,76096799,76333535,76420185,76440386,76733612,76757387,76994210,77159423,77360087,77385948,77391147,77798336,78634562,78808704,78955000,79078425,79093842,79277834,79294367,79345839,79561947,79586640,79649320,79655690,79765847,79777839,79898892,79932140,79948523,79951010,80081884,80231303,80331698,80424219,80441663,80544047,80648205,80775125,80857967,80859563,81421326,81484343,81499442,81514864,81921143,81924879,82063883,82335060,82605290,82765068,82885535,82946603,83118555,83488610,83491658,83510759,83549061,83757527,83778225,83801949,83920348,84020123,84191159,84350320,84486952,84885288,84890286,84892416,84910668,85056143,85104939,85387868,85448267,85493399,85798124,86024752,86127225,86134919,86186764,86603243,86721290,86736587,86828500,86962204,87108520,87124187,87261740,87319223,87523128,87643185,87824064,87876203,87894410,88117019,88122588,88125666,88463999,88593314,88659792,88824375,89162385,89303784,89308247,89363440,89534970,89605485,89627903,89900363,89920226,90236810,90259548,90294827,90327644,90945935,91115247,91600242,91670783,91704222,91813403,91869040,92067143,92393052,92656907,92761768,92784818,92938535,93373067,93386543,93486064,93690242,93740810,94317002,94373186,94621538,94746000,94889999,94894110,94954539,95047821,95057234,95106544,95154447,95495949,95503968,95579184,95586828,95726337,95793803,95918568,95941212,96220905,96349359,96391340,96546674,96574504,96714188,96777846,96930150,97141647,97271963,97300252,97303874,97742879,97822607,97942103,97997085,98127147,98206946,98275720,98463519,98802072,98996783,99107247,99126348,99181634,99462642,99646055,99742266,99764225,99835528,99900407,99983906,...,32225051394725872154308755121343869783079350910083100014562717323757665001417951522868373337539375190762255394494546239613735044221573184136042080436209604386731847275974977685852287272057908188246455509491454643359653304652974946446902575608860617448387901583386779834051907654251771139204349357415380374915434188241583798027262509560963688308204182334976308948006193865038352314081300828519133906581606444429848438212846360260613910744636405266297034835922043839228515238047684115529717527382367269346648191178894411142089775674603661696942450922289739555513277863175241262517901796660483502991703461395305105450549815596482128940970931274655438262404120980338757011196907312484857669652174979105694871810298933538480364073932103922808069459642184702714988821925154980627589391675706790473882795999714535292054950425985029056364832623685544980104439867826578451955371873580560409500973738587753503041135158284604774908454686683232342249703837951686394953888430129730565924741707272866974579227149314060325659380350715572915921487011911478305315504072328762641281088027127713165021877420157418348831650374683260489358304982801293665094457398807366742588935890918701958348861315065602295534876660223043725947701495659930934456821723657550942172018498951629171049072802266392918419446893780139135007356041529418902093348430995513059271346336619246049590775623428253013262046156297448495583059768091385216731547676663318370318426055097497523106695298168917892197894767078568307945216419629635450588246774838284402513371813641496189713032952474920052578144472568356667935497881564480839421196357604558624990556483655864660946391974618526849244741491313769795289997105188169965125983314614772794124857567559534515135793904502671285890836248910328353710352472320631764142122984738726913565626533837099571578135464465292231319578191913306245169380545860076436668918430840891439350278201134377200094720767983865366923247898864204126641793959493135701631743831941124267529819532731632981706834435385685997343858230665894539556556823612647370080269178323886386069472634899426480895903657548845210369880132623221912375952657431195994138488310165452404163688379979029386492580837207702449443123858938189688869290279099107087910500370664071723918145899339023203395867031332477319972526060917765266591239638250889721906234719532180826890800732952328364054593365093966906580299601672275423030938148135027713225055456936294431869221440915553145162690671566460153222617444567929425051589217042817170694663644057713359988168680102188}
15818 10052932275987673970312004276086699080615812826054310307313891009: {221326,316180,379416,410878,426843,489397,600286,695332,915646,1074196,1243381,1356478,1452772,1659315,1769936,1975375,1991178,2110366,2179381,2365717,2370450,2458777,2486446,2528480,2586772,2611678,2799406,2844540,2964196,3034176,3080415,3108181,3285776,3293077,3341332,3413448,3649107,3696498,3840129,4296046,4304857,4344175,4500435,4668766,4761877,4800464,5213010,5222692,5226766,5400522,5412478,5418371,5446515,5560544,5637387,5670517,5809616,5851381,6153886,6255612,6535818,6711175,6774339,7019977,7261678,7466197,7644181,7740530,7997326,8053410,8217892,8264857,8353237,8590304,8754015,8794057,8856507,9145417,9191576,9288636,9337616,9408181,9553555,9582997,9664092,9943256,10058867,10169715,10340523,10452196,10498355,10504818,10795966,10823572,10847696,10971157,11057900,11186163,11401177,11464266,11520478,11829397,12002206,12203658,12598026,13150571,13269480,13321678,13340015,13501006,13575387,13620478,14038126,14154112,14335966,14360917,14369810,14410335,14521492,14693557,14776537,14928165,14930446,14997650,15107737,15355381,15371024,15404878,15520117,15556107,15582526,15797000,15802787,15923376,16008018,16012597,16135779,16161175,16359652,16704286,16762035,16998526,17022698,17232015,17243772,17292402,17771625,17839263,17879504,17913798,17997180,18229966,18380816,18519175,18641235,18755566,18786530,18918488,18956400,19196992,19251507,19393410,19512478,19513011,19580115,19650196,19883984,19937497,20114442,20172181,20220160,20406296,20498206,20528300,20561881,20678403,20678418,20686304,20885456,21104437,21283299,21325950,21421726,21468196,21596616,21830932,22111678,22223010,22283806,22331317,22364859,22369482,22398478,22543836,22575410,22710937,22747680,22957083,23013337,23229775,23272092,23463867,23496138,23614681,23704544,23959187,24115736,24264192,24296193,24318140,24582037,24633960,24722452,24927627,25097881,25157935,25201839,25591140,25696126,26062851,26203006,26276224,26334488,26484046,26520292,26667612,26743178,26837900,27090492,27130203,27297216,27380686,27482197,27660046,27713205,27765877,27875730,27883246,27933175,27977881,28161886,28548056,28585571,28679881,29166997,29181768,29236297,29560752,29626299,29734112,29741007,29876115,30156286,30189522,30198937,30539317,30541678,30709368,30809235,30836215,30877897,30981166,31364878,31529086,31549657,31867856,31949257,32116563,32184478,32205480,32456878,32553183,32609497,32674035,32829489,32837566,32863184,33208427,33255846,33450876,33519810,33521737,33692888,33712779,33844117,34082878,34227410,34352512,34548039,34729246,34740200,34794507,34852304,34863637,34989781,35002335,35115637,35541055,35616181,35694478,35752996,35754464,35851338,36231165,36654526,36862419,36907955,36968917,36971082,37003458,37185646,37291678,37335824,37662286,37895979,37904499,38204540,38256915,38453806,38640181,38646576,38815897,38865655,38903572,39049177,39082725,39185715,39208842,39223381,39503566,39600532,39627337,39858371,40197815,40198297,40223772,40225276,40537417,40598926,40649881,40807376,40836530,40990996,41041237,41066206,41072892,41118046,41318617,41337892,41373877,41583886,41594197,41688240,41703715,41798096,41867977,42002802,42191571,42432735,42649266,42665806,42768478,43262617,43330504,43367881,43472857,43477398,43485155,43536478,43559139,43896259,44045077,44289546,44467456,44478707,44656366,44748435,44826866,44912281,45085467,45261584,45412681,45718126,45821332,45845448,45908298,45908335,45969886,46052437,46069976,46295257,46638786,46727283,46727797,46899270,46922926,47022858,47072878,47172766,47358651,47440610,47731664,47874196,48036181,48217726,48237378,48263881,48746817,48803017,48811678,48896300,48957807,49003836,49024597,49452526,49721557,50025888,50041678,50044458,50139646,50142367,50647103,50696031,50919282,50978677,51060181,51272596,51343177,51383317,51576129,51610852,51664571,51741337,51828723,51836888,51976777,52182186,52562935,52629781,52725650,52923531,53060115,53067287,53078197,53192878,53261977,53520735,53552281,53671678,53673175,53698122,53752827,53802517,53837977,53989976,54014197,54701077,54735107,54852987,54956446,55033717,55090002,55099381,55326403,55665166,55900606,56269787,56279124,56281935,56316196,56352181,56500681,56510878,56597456,56852696,56928732,56940530,56947467,57088784,57304846,57408457,57425450,57464680,57489781,57557523,57650212,57886681,58015381,58031925,58279246,58315492,58316499,58316917,58337900,58390681,58464046,58579635,58675560,58749411,58934677,59047897,59203381,59355337,59628181,59689417,59869237,59978878,60034064,60211381,60266137,60338137,60355957,60478681,60513097,60738723,60778057,60797806,60888181,60934297,60965092,60994777,61068757,61112281,61129496,61429555,61720537,61795381,61826377,61900720,61943881,62016457,62016478,62076181,62100697,62121650,62177737,62240917,62375881,62390677,62405135,62422681,62479381,62484944,62515417,62529781,62550517,62587264,62611732,62707935,62917255,63045406,63075522,63223486,63270780,63327698,63541010,63672138,63959283,63969176,64038380,64049043,64224882,64251172,64356771,64374766,64407810,64578196,64647765,64770766,64982603,65301175,65912115,66010005,66025778,66081406,66092888,66211779,66644878,66888464,67488832,67538322,67635166,67772300,67806526,67813867,68073544,68328636,68517215,68701664,68770683,68786427,68910540,68957616,69085625,69126292,69421678,69448996,69620888,69638310,69693155,69771412,69926926,69939775,70005480,70295562,70306256,70410672,70597006,70830507,70972126,71096878,71325506,71379172,71619087,71924878,71965323,72213166,72544863,72758415,73504576,73561678,73642846,73669215,73715466,73764478,73806530,73926083,73994531,74047726,74254996,74256535,74274627,74280864,74354499,74535896,74545980,74624615,74672512,74852686,74886162,75092926,75235736,75249522,75252766,75271658,75452206,75500706,75810410,75924936,76166878,76219955,76249212,76582737,76846056,76961625,77289372,77463271,77538099,77577318,77608976,78140811,78193010,78216015,78323499,78361410,78580496,78756165,78921055,78996196,79094538,79203886,79212006,79341519,79515712,80042878,80063139,80156686,80385410,80726691,80798878,80938335,81067107,81166547,81326760,81508376,81800306,82068627,82092400,82120996,82220658,82571879,82587166,82692648,82844878,82902750,82955086,83138446,83201259,83203635,83218226,83394478,83430416,83565972,83585504,83588888,83631786,83686126,83852883,83927730,83928747,84006576,84132939,84502691,84554926,84640203,85013715,85216996,85415553,85471903,85525012,85663486,85710482,85991255,86334224,86447332,86451813,86686606,86748544,86896606,87036286,87310098,87356087,88178878,88401467,88403058,88422175,88429600,88567836,88628115,88750544,88964926,89107842,89111576,89202478,89243315,89455176,89503012,89522912,89549538,89564563,89607886,89806178,89809726,89977486,90068531,90468140,90486488,90631658,90681296,90777166,90917787,90972492,90975646,91169925,91172735,91322596,91463946,91483400,91492605,91624827,91696923,91713259,91784415,92089486,92348878,92353950,92575006,92768206,92830996,92832290,93024775,93029229,93056926,93248686,93408046,93831612,93859218,94033692,94037499,94322540,94355806,94485135,94507398,94536656,94574878,94705266,94948606,95658478,95911907,95917015,96055966,96462492,96462506,96481006,96662206,96732435,96962926,97126002,97247920,97592112,97609492,97855486,97903376,98002846,98510880,98693750,98878606,98994286,99367256,99425806,99483300,99561650,99739966,99844362,99873615,99915175,...,48337577092088808231463132682015804674619026365124650021844075985636497502126927284302560006309062786143383091741819359420602566332359776204063120654314406580097770913962466528778430908086862282369683264237181965039479956979462419670353863413290926172581852375080169751077861481377656708806524036123070562373151282362375697040893764341445532462306273502464463422009290797557528471121951242778700859872409666644772657319269540390920866116954607899445552253883065758842772857071526173294576291073550904019972286768341616713134663511905492545413676383434609333269916794762861893776852694990725254487555192092957658175824723394723193411456396911983157393606181470508135516795360968727286504478262468658542307715448400307720546110898155884212104189463277054072483232887732470941384087513560185710824193999571802938082425638977543584547248935528317470156659801739867677933057810370840614251460607881630254561702737426907162362682030024848513374555756927529592430832645194595848887112560909300461868840723971090488489070526073359373882230517867217457973256108493143961921632040691569747532816130236127523247475562024890734037457474201940497641686098211050113883403836378052937523291972598403443302314990334565588921552243489896401685232585486326413258027748427443756573609203399589377629170340670208702511034062294128353140022646493269588907019504928869074386163435142379519893069234446172743374589652137077825097321514994977555477639082646246284660042947253376838296842150617852461917824629444453175882370162257426603770057720462244284569549428712380078867216708852535001903246822346721259131794536406837937485834725483796991419587961927790273867112236970654692934995657782254947688974971922159191187286351339301772703690856754006928836254373365492530565528708480947646213184477108090370348439800755649357367203196697938346979367287869959367754070818790114655003377646261337159025417301701565800142081151975798050384871848296306189962690939239703552447615747911686401294729299097449472560251653078528996015787345998841809334835235418971055120403767485829579104208952349139721343855486323267815554820198934832868563928986146793991207732465248178606245532569968544079738871255811553674164685788407284533303935418648660631865750555996107585877218849008534805093800546998715979958789091376647899886859457376334582859352079298271240336201099428492546081890047640950359870449402508413134546407222202541569837583185404441647803832161373329717744036007349690229833926166851894137577383825564225756041995466086570039982253020153282}
15819 10097176665791673792535647662578085841726376708356186378266040204: {31634,331989,395225,474270,505888,569124,616317,869165,900429,1042998,1342745,1373469,1548694,1611294,1815965,1911437,2034717,2179158,2212420,2654904,2875054,2952917,2986767,3160600,3165549,3233465,3555675,3705245,3729669,3792720,3880158,3899389,3917517,4045568,4107220,4176665,4199109,4200406,4266810,4446294,4551264,4865476,4928664,5011998,5083414,5120172,5337358,5544747,6000580,6444069,6528365,6598966,6950680,6977854,7003149,7110917,7200696,7262020,7516516,7776089,7819515,7834038,7840149,8042629,8100783,8118717,8148437,8170414,8340816,8343917,8700349,8714424,9032452,9230829,9383418,9491734,9803727,10221101,10272365,10516589,10737880,10892517,10985417,11489470,11610795,11672020,11808676,11995989,12080115,12290597,12326838,12384848,12429070,12713038,12885456,13065245,13255001,13449646,13529465,13559620,13708669,13787364,13822375,13932954,14006424,14189849,14496138,14914884,14930617,15167854,15285688,15644566,15678294,15757227,16083214,16151629,16193949,16235358,16271544,16553677,16586850,16797368,17024669,17196399,17280717,17398486,17620798,17692640,17855509,18003309,18100516,18151865,18241501,18274774,18305487,18573526,18725561,18897039,18987317,19213780,19746250,19904220,19982517,20028109,20251509,20430717,20449565,20741476,21057189,21101269,21231168,21344024,21355109,21503949,21514372,21554715,21782238,21813349,22159966,22349380,22395669,22496475,22976020,22991696,23042677,23056536,23107317,23199286,23373789,23616197,23648110,23695500,23785684,23885064,23996240,24012027,24187769,24539478,24562745,24854980,24979549,25040749,25056429,25267198,25275200,25497789,25507870,25534047,25660375,25668676,25857880,25865658,25886029,25938603,26017348,26106820,26453897,26819256,26835245,26870697,26915741,26995770,27288665,27333526,27344949,27413854,27571204,27571224,27884374,28133349,28179795,28310269,28377732,28434600,28732517,28755286,28795488,29043118,29090115,29090317,29268717,29475294,29481277,29630680,29739757,29819812,29825976,29857438,30058448,30144670,30171663,30313637,30330240,30397675,30495766,30609444,30747309,30773501,30792450,30903065,31017627,31029456,31285156,31328184,31939609,31988925,32132589,32202294,32352256,32394924,32642686,32668846,32746398,32845280,32918110,33147517,33150365,33167517,33236836,33334515,33425709,33547375,33554223,33597717,33602452,33815754,33863115,34121520,34750468,34899317,34908138,35244207,35286838,35556816,35685070,35706454,35839774,36120656,36128206,36173604,36396288,36477210,36478366,36573334,36950940,37083678,37167640,37914191,38386710,38544189,38905757,38909024,39034414,39304509,39414336,39501732,39603886,39654676,39726069,39780438,39834820,40001418,40051126,40114767,40252696,40256850,40311229,40375309,40635738,40760117,40930901,40945824,41071029,41078980,41360701,41490069,41765206,41813595,41824869,42116110,42242829,42431446,42822084,42940640,43404244,43425250,43565380,43772652,43807126,43962677,44146798,44341128,44601168,44691245,44693080,44896981,44950372,45175117,45234429,45284283,45357277,45812517,45863446,45964889,46064052,46392676,46471749,46663069,46669780,47047317,47241229,47293629,47752126,47755675,47801784,47909686,47993957,48276717,48308220,48470614,48629465,48664349,48685317,49149892,49256349,49294776,49337944,49500665,49522774,49746109,49883769,49952686,50075134,50176314,50279715,50281595,50527972,50539332,51009220,51124317,51238745,51341115,51528768,51672365,51698638,52093869,52110300,52247620,52278456,52529806,52979341,53015237,53488309,53541717,53622269,53629494,53631696,53713741,53777007,54051646,54163130,54674326,54719374,54763856,54981789,55456623,55474558,55505187,55584320,55642126,55778469,55805854,55937517,55973029,56003736,56095798,56255428,56493429,56576980,56865688,57230869,57276665,57306810,57529366,57587470,57680709,57831277,57969864,58078852,58173238,58355358,58527406,58813263,58987381,59014637,59052728,59255349,59400798,59564351,59664580,59752669,59842745,60030989,60113956,60335658,60337914,60898389,60918277,61120375,61127264,61211064,61254795,61486494,61517974,61599309,61609338,61657357,61668809,61677069,61681294,62006838,62185048,62303044,62375829,62532360,62697144,63004203,63041017,63144868,63568534,63871054,63973899,63998709,64090745,64152717,64316504,64513565,64796110,64995756,65216097,65218909,65277076,65304717,65338448,65397109,65601989,65831269,66286558,66356117,66434319,66701184,66725944,66984549,67240299,67431541,67487470,67584761,67594708,67892376,67907854,68327446,68577189,68731998,68748677,68757934,68768172,68862447,68954829,68989517,69104964,69576248,69958179,70348905,70384389,70395245,70534287,70564708,70609317,70746820,70759149,71065870,71160915,71244661,71319829,71360980,71597496,71670436,71811294,71830850,72062765,72326589,72356067,72894365,72902357,72922375,73001614,73137316,73140277,73217517,73344450,73431229,73453336,73505754,73659469,74013886,74178789,74390237,75038832,75042580,75062517,75066687,75209469,75542446,75557101,75628246,75858101,75904976,75929956,76008829,76206365,76378923,76411870,76450198,76685989,76743364,76908894,77375900,77416278,77656726,77755332,77972629,77990326,78106180,78234080,78264665,78273279,78332548,79088475,79175677,79346134,79789317,79939054,79961470,80047975,80313965,80341966,80451949,80507517,80547183,80722745,80768501,80984964,81285749,81531166,82288421,82434669,82616110,82635003,82719574,83497749,83502334,83610580,83850909,84040037,84100696,84361040,84418686,84474294,84715375,84766317,84896184,85091930,85279044,85393098,85398724,85410795,85459189,85633176,85659101,85665454,85809028,85877080,85957269,86138175,86197020,86407865,86475318,86534617,86811245,86946349,87026110,87214265,87418869,87473238,87506850,87570877,87609797,87696069,87855497,87882820,88013340,88186126,88282372,88604638,89223965,89782486,89968317,90051096,90283606,90338638,90351589,90370669,91104848,91188409,91196709,91447638,91526614,91694244,91715236,91880720,91943488,92276149,92666137,92818745,92851080,93024717,93169870,93182475,93215374,93314206,93340640,93727416,93880896,93917598,94044670,94198189,94248629,94440676,94568109,94613283,94835229,94906170,94991547,95311515,95477561,95492116,95508207,95953764,96057570,96065549,96119326,96301637,96337323,96376758,96559246,96562149,96611715,96726484,96867294,96984589,97011220,97156149,97740301,98225620,98287288,98745245,99032836,99038667,99041152,99062446,99122109,99122638,99139332,99296509,99394640,99848216,99967317,...,72506365638133212347194699023023707011928539547686975032766113978454746253190390926453840009463594179215074637612729039130903849498539664306094680981471609870146656370943699793167646362130293423554524896355772947559219935469193629505530795119936389258872778562620254626616792222066485063209786054184605843559726923543563545561340646512168298693459410253696695133013936196336292706682926864168051289808614499967158985978904310586381299175431911849168328380824598638264159285607289259941864436610326356029958430152512425069701995267858238818120514575151913999904875192144292840665279042486087881731332788139436487263737085092084790117184595367974736090409272205762203275193041453090929756717393702987813461573172600461580819166347233826318156284194915581108724849331598706412076131270340278566236290999357704407123638458466315376820873403292476205234989702609801516899586715556260921377190911822445381842554106140360743544023045037272770061833635391294388646248967791893773330668841363950692803261085956635732733605789110039060823345776800826186959884162739715942882448061037354621299224195354191284871213343037336101056186211302910746462529147316575170825105754567079406284937958897605164953472485501848383382328365234844602527848878229489619887041622641165634860413805099384066443755511005313053766551093441192529710033969739904383360529257393303611579245152713569279839603851669259115061884478205616737645982272492466333216458623969369426990064420880065257445263225926778692876736944166679763823555243386139905655086580693366426854324143068570118300825063278802502854870233520081888697691804610256906228752088225695487129381942891685410800668355455982039402493486673382421533462457883238786780929527008952659055536285131010393254381560048238795848293062721421469319776715662135555522659701133474036050804795046907520469050931804939051631106228185171982505066469392005738538125952552348700213121727963697075577307772444459284944036408859555328671423621867529601942093948646174208840377479617793494023681018998262714002252853128456582680605651228744368656313428523709582015783229484901723332230298402249302845893479220190986811598697872267909368298854952816119608306883717330511247028682610926799955903127972990947798625833994161378815828273512802207640700820498073969938183637064971849830289186064501874289028118947406860504301649142738819122835071461425539805674103762619701819610833303812354756374778106662471705748242059994576616054011024535344750889250277841206366075738346338634062993199129855059973379530229923}
15820 10141614255178229235722084140802758889562291601297736675266494746: {47451,173899,268651,363331,442652,457939,632360,711405,741331,758832,821756,835651,853686,929899,978794,1118179,1200572,1306171,1390664,1400059,1564497,1831292,2148392,2148571,2323041,2334979,2416941,2486762,2706931,2712956,2765525,2799739,2905544,2985139,3268737,3318630,3539872,3723859,3907819,3950750,3982356,4183219,4220732,4312581,4358762,4549411,4731434,4740900,4917554,4972892,5056960,5134025,5173544,5223356,5369131,5459851,5550499,5598812,5689080,5820237,5928392,6068352,6081845,6160830,6216362,6300609,6400215,6453019,6571552,6586154,6669441,6682664,6812011,6826896,7080499,7298214,7392996,7500725,7517997,7526539,7625121,7680258,7970779,8006037,8501491,8592092,8609714,8688350,8941771,9000870,9029611,9077525,9337532,9395645,9523754,9600928,9816931,9898449,9991099,10338571,10426020,10445384,10453532,10466781,10801044,10824956,10836742,10857619,10893030,11121088,11202211,11274774,11290565,11341034,11619232,11702762,11751057,12255621,12307772,12511224,12907891,13071636,13161259,13374977,13422350,13548678,13833739,14001139,14039954,14075127,14168251,14237601,14501611,14523356,14590025,14697697,14760845,14932394,15288362,15481060,15494779,15659299,15994652,16106820,16151131,16232851,16435784,16529714,16706474,16884019,16949525,17046091,17180608,17234205,17288659,17369371,17450011,17508030,17588114,17713014,17932339,18290834,18332299,18383152,18490257,18571411,18577272,18643605,18650971,18675232,18676021,18816362,18889219,19069557,19107110,19165994,19328184,19835731,19886512,20117734,20174469,20305099,20339430,20616571,20681046,20849419,20899431,20904392,20996710,21009636,21012497,21390211,21467179,21591932,21647144,21695392,21744207,21942314,22115800,22372326,22385179,22625645,22751781,22802354,22915891,22928532,23040956,23466849,23517441,23593051,23658794,24004412,24017225,24124821,24353037,24407316,24412771,24880275,25076971,25196052,25370299,25516531,25926845,26097729,26301142,26315659,26431197,26532091,26538960,26604091,26643356,26680030,26892965,27002012,27150774,27240956,27391339,27412161,27860289,27936725,28076252,28099459,28308224,28380691,28450819,28671932,28720025,28721834,28739620,28800379,28820670,28939699,29042984,29148139,29286739,29387114,29553074,29619375,29732105,29856330,29860892,29995300,30043891,30215474,30453211,30710762,30724651,30742048,30809756,31040234,31062331,31068725,31112214,31165052,31465171,31594000,31605574,31665619,31732291,31846752,32016036,32025194,32085845,32196979,32271558,32322350,32460931,32521685,32633525,32673357,32719304,33239949,33408572,33524070,33997052,34045396,34148539,34276339,34464005,34464030,34487544,34584804,34721371,34798929,34974091,35221109,35351011,35413579,35472165,35538499,35543250,35678526,35759008,35827596,35994360,36220411,36459932,36649819,36761632,36809217,36832771,37038350,37075699,37257139,37274765,37282470,37437931,37498051,37511132,37558099,37573060,37737811,37836976,37900797,37912800,38261805,38393984,38450179,38503014,38567899,38786820,38798487,39024956,39026022,39106445,39160230,39300392,39767968,39874994,40072051,40228884,40344362,40440320,40468699,40493655,40812592,40861819,40996412,41000289,41056600,41120781,41123762,41356806,41356836,41372608,41527531,41546045,41582539,41747131,41770912,41826561,42003065,42208874,42291091,42566598,42651900,42843452,42936392,43040539,43132929,43170701,43193232,43438085,43462459,43564677,43619491,43661864,43827859,43931611,44138251,44189731,44212941,44223356,44446020,44497099,44567612,44598979,44649811,44662634,44729718,44738964,44786157,44796956,44852419,45003619,45087672,45150820,45217005,45421874,45495360,45502939,45743649,45914166,45946171,46026674,46092619,46188675,46335259,46459550,46544184,46576099,46624051,46671931,46927734,46992276,47193859,47229362,47334691,47381491,47409088,47428219,47918374,48231472,48303441,48347659,48528384,48592386,48636280,48964029,49003269,49106539,49119597,49164074,49267920,49325779,49377165,49444904,49568345,49757477,49793525,49801771,49855254,49887379,50057731,50195762,50226931,50311099,50315870,50394979,50403678,50603419,50723631,51182280,51258331,51348725,51392252,51671137,51877397,51894811,51933979,52125702,52283251,52362207,52406012,52474771,52552448,52588819,52668976,52852411,52930257,52968092,53001451,53040584,53332579,53335224,53486356,53527605,53559681,53675800,53693659,53729371,53759661,53906851,53942131,54180984,54192309,54221779,54255305,54260406,54325459,54411917,54456725,54564859,54594432,54598771,54715815,54717549,54761372,54860001,54964394,54967051,55164259,55320092,55391059,55426410,55531754,55550899,55625517,55751460,55766492,55866350,55927171,55955762,56041469,56187965,56202571,56232811,56276941,56323772,56648611,56677771,56793691,56851219,56908459,57096112,57106531,57171142,57359762,57410659,57465019,57492091,57546019,57580065,57758851,57863539,57990845,58043971,58170691,58333994,58337225,58363536,58385201,58443139,58472594,58515931,58551621,58847059,58870171,59029939,59119651,59121504,59142017,59252598,59259161,59295619,59403259,59405829,59445811,59468224,59482014,59633731,59670657,59752230,59875219,59933971,59972779,60002127,60049531,60068539,60076689,60143851,60162499,60254659,60312572,60379044,60385275,60397874,60433579,60753691,60801859,60849379,60879217,60953607,61003099,61078634,61083356,61247899,61288939,61315939,61418736,61437365,61459291,61484419,61618470,61663699,61672430,61686379,61708771,61741819,61755794,61763491,61877539,61945579,61955011,61962332,61992019,62054011,62079499,62128531,62174971,62204491,62340571,62357419,62362891,62418331,62422939,62436331,62457211,62461171,62465059,62499979,62511931,62525251,62534611,62567371,62568019,62647809,62729756,63058172,63099314,63159965,63174165,63647169,63735712,63761525,63898514,64233126,64271669,64368956,64410960,64913756,65106366,65137875,65218994,65309525,65348070,65385749,65658978,65675132,65710689,65726368,66220197,66416854,66511692,66901752,67039620,67043474,67385776,67425558,67688234,68165756,68454820,68705024,68795169,69096078,69458492,69480400,69589014,69704608,69727274,69979562,70004670,70231274,70319285,70561997,70721225,71082110,71232362,71388956,71505992,71508928,71628189,71702676,71864529,72462330,72598565,72705921,73309052,73588109,73724838,73815910,73937834,73942164,74006916,74284161,74371292,74580725,74583356,74671648,74929029,75112701,75142445,75264471,75324572,75791958,75791969,75808998,76409080,76513830,76907612,77280362,77293152,77547957,77631794,77731310,77807144,77878805,78098354,78165450,78371430,78417684,78446762,78794709,78931085,79007132,79201064,79254674,79716742,80143661,80395630,80396594,80444241,80447544,80450552,81074834,81077469,81197852,81244695,81299762,81596345,81614752,81673060,81981992,82011489,82079061,82082474,82132412,82145784,82236092,82637234,82675784,82747754,83167772,83188394,83211837,83376480,83407430,83463189,83596192,83708781,83735954,84005604,84143697,84383142,84493385,84865470,85298532,85331612,85536956,85960215,86001377,86294049,86381205,86525234,86576597,86661008,86735762,86945714,86954796,86970310,87072956,87118278,87259857,87367189,87533037,87791109,87792518,88084157,88090154,88205885,88433525,88579092,88934912,88957414,89101197,89201225,89312732,89496870,89588045,89653732,89824562,90170934,90503487,90506871,90523168,90825362,91366517,91421645,91436252,91642664,91690896,91816596,91816670,91939772,92104874,92139952,92229741,92276961,92414007,92521941,92590514,93010257,93277572,93454566,93455594,93798540,93803225,93845852,94045716,94145756,94345532,94717302,94881220,94912445,95352801,95463328,95527421,95748392,95806581,95924101,95929205,96072362,96435452,96474756,96527762,96719875,97194165,97493634,97570417,97606034,97623356,97632725,97792600,97915614,97915685,98007672,98049194,98905052,99429837,99443114,...,96675154184177616462926265364031609349238052730249300043688151971272995004253854568605120012618125572286766183483638718841205132664719552408126241308628813160195541827924933057556861816173724564739366528474363930078959913958924839340707726826581852345163704750160339502155722962755313417613048072246141124746302564724751394081787528682891064924612547004928926844018581595115056942243902485557401719744819333289545314638539080781841732233909215798891104507766131517685545714143052346589152582147101808039944573536683233426269327023810985090827352766869218666539833589525723787553705389981450508975110384185915316351649446789446386822912793823966314787212362941016271033590721937454573008956524937317084615430896800615441092221796311768424208378926554108144966465775464941882768175027120371421648387999143605876164851277955087169094497871056634940313319603479735355866115620741681228502921215763260509123405474853814324725364060049697026749111513855059184861665290389191697774225121818600923737681447942180976978141052146718747764461035734434915946512216986287923843264081383139495065632260472255046494951124049781468074914948403880995283372196422100227766807672756105875046583945196806886604629980669131177843104486979792803370465170972652826516055496854887513147218406799178755258340681340417405022068124588256706280045292986539177814039009857738148772326870284759039786138468892345486749179304274155650194643029989955110955278165292492569320085894506753676593684301235704923835649258888906351764740324514853207540115440924488569139098857424760157734433417705070003806493644693442518263589072813675874971669450967593982839175923855580547734224473941309385869991315564509895377949943844318382374572702678603545407381713508013857672508746730985061131057416961895292426368954216180740696879601511298714734406393395876693958734575739918735508141637580229310006755292522674318050834603403131600284162303951596100769743696592612379925381878479407104895231495823372802589458598194898945120503306157057992031574691997683618669670470837942110240807534971659158208417904698279442687710972646535631109640397869665737127857972293587982415464930496357212491065139937088159477742511623107348329371576814569066607870837297321263731501111992215171754437698017069610187601093997431959917578182753295799773718914752669165718704158596542480672402198856985092163780095281900719740898805016826269092814444405083139675166370808883295607664322746659435488072014699380459667852333703788275154767651128451512083990932173140079964506040306564}
15821 10186245881161801794054442468450583949856808593269792879325901150: {63268,553315,663978,790450,948540,1011776,1027195,1138248,1216831,1232634,1280529,1468191,1500715,1738330,1800858,1879843,2085996,2258971,2289115,2542351,2685490,2746938,3097388,3222588,3300319,3391195,3489811,3631930,3730143,3822874,3994111,4069434,4358316,4424840,4526851,4562443,4977945,5187343,5275915,5309808,5750108,5847331,5905834,5926125,5973534,6216115,6321200,6331098,6419611,6466930,6529195,6538143,6998515,7097151,7111350,7376331,7410490,7457791,7459338,7585440,7760316,7798778,7835034,8091136,8214440,8312371,8353330,8398218,8400812,8403811,8533620,8690923,8892588,9102528,9139711,9241245,9324543,9629971,9730952,9857328,9879231,9917443,10023996,10166828,10240344,10567579,10674716,10740115,10947321,11089494,11241871,11520387,11521291,11671915,12001160,12079483,12277819,12292159,12636811,12888138,12914571,13032525,13056730,13066915,13197932,13412611,13501305,13531195,13670239,13901360,13955708,14006298,14169139,14221834,14285631,14358751,14381311,14401392,14524040,14525251,15033032,15384715,15552178,15639030,15668076,15680298,15859243,16085258,16201566,16237434,16255113,16296874,16339545,16340828,16681632,16687834,16912161,17011551,17400698,17428848,17554143,17924443,18064904,18154195,18291343,18461658,18766836,18941251,18983468,18989731,19351325,19522171,19607454,19639003,19993315,20016979,20133525,20323017,20442202,20544730,21033178,21059931,21221119,21357823,21475760,21785034,21909151,21970834,22079011,22398591,22593439,22932543,22978940,23221590,23344040,23617352,23960959,23991978,24160230,24190843,24241471,24581194,24653676,24769696,24794571,24858140,25059711,25412611,25426076,25668379,25682191,25770912,25855891,26130490,26262045,26382171,26457259,26510002,26569521,26899292,26919163,26989915,27058930,27119240,27366643,27417338,27436251,27574728,27644750,27744331,27828139,27865908,27910051,28012848,28055071,28224543,28379698,28629391,28660665,28736191,28748991,28771999,28801195,28992276,29829768,29861234,30005515,30176601,30317491,30335708,30509145,30571376,30848491,31021569,31117339,31289132,31356588,31495065,31514454,31792351,32166428,32303258,32387898,32470716,32543088,32815519,32913471,33107354,33173700,33304195,33558489,33594736,33752515,33956611,34049338,34051195,34174771,34203531,34387843,34392798,34561434,34740943,34796972,35095315,35241596,35385280,35488191,35711018,35839915,35924525,36006618,36201032,36303730,36368683,36483002,36488443,36549548,36610974,37147052,37326115,37451122,37494125,37569343,37794078,37974634,38204131,38427560,38512195,38910751,38956315,39005119,39248539,39451713,39492500,39808440,39965034,40020045,40056218,40503018,40726161,40861434,40899130,41273419,41482952,41760715,41761843,42114378,42202538,42462336,42496315,42556745,42688048,42710218,42958399,43007898,43028744,43082751,43109430,43231005,43264291,43341211,43564476,43626698,44080671,44319932,44329611,44698760,44784495,44791338,44992950,45323211,45574915,45774991,45952040,45979531,45983392,45985819,46066143,46085354,46113072,46214634,46398572,46410511,46560351,46668321,46747578,46888915,46966325,47204671,47232394,47296220,47391000,47408361,47571368,47770128,47992480,48024054,48037791,48335551,48372883,48375538,48407337,48483525,48781195,49078956,49125490,49347811,49573963,49709960,49959098,50081498,50112858,50286105,50534396,50550400,50995578,51015740,51068094,51245515,51320750,51337352,51372523,51380083,51696045,51715760,51731316,51772058,51877206,51955891,52020511,52034696,52213640,52267843,52907794,53314875,53356171,53517789,53554315,53629123,53638512,53670490,53741394,53831482,53991540,54024091,54342031,54577330,54667052,54689898,54827708,55142408,55142448,55279195,55557525,55709515,55768748,55923705,55996195,56266698,56359590,56438525,56479651,56620538,56720131,56755464,56869200,57358411,57465034,57510572,57590976,57754521,58086236,58180230,58180634,58537434,58539033,58607371,58740345,58950588,58962554,59067571,59261360,59354779,59479514,59496139,59639624,59651952,59714876,59812491,60116896,60289340,60343326,60516543,60627274,60660480,60795350,60991532,61015999,61218888,61494618,61547002,61584900,61685643,61806130,62035209,62035254,62058912,62343391,62371291,62567743,62570312,62654371,62656368,63313311,63849897,63879218,63977850,64240315,64265178,64303423,64404588,64704512,64789848,64926739,64993951,65285372,65337692,65492796,65507515,65520451,65690560,65836220,66210115,66295034,66300730,66335034,66473672,66669030,66851418,66857945,66993951,67094577,67094750,67108446,67195434,67204904,67308571,67593403,67631508,67726230,68081251,68132811,68243040,68451715,68491939,68561551,68871249,68923963,69040011,69150115,69289099,69300931,69483811,69500936,69689325,69708115,69744571,69798634,69816276,70033699,70391601,70394233,70404715,70488414,70573676,70688131,70844043,70937119,71113632,71370140,71412908,71679548,71734243,71877561,72102271,72241312,72245779,72256412,72341311,72347208,72585211,72792576,72888579,72954420,72956732,73098463,73116643,73146668,73240651,73746111,73878283,73901880,73957843,74162719,74167356,74335280,74604031,74782881,75293643,75390715,75473805,75605517,75828382,75863311,75867979,76354195,76773420,76780063,77088378,77260291,77452915,77811514,77818048,77834779,78068828,78188553,78360523,78412195,78609018,78789343,78822715,78828672,79003464,79037839,79207772,79309352,79314643,79452138,79560876,79669640,80002836,80102252,80187331,80229534,80461195,80505392,80513700,80564611,80622458,80750618,80779039,80878843,81142195,81271476,81390609,81520234,81861802,81891648,81911491,82001923,82093915,82142058,82157960,82446591,82721402,82737919,82980138,83139615,83175571,83297631,83530412,83627190,83649738,83779843,83799525,83865451,83933643,84050779,84232220,84485658,84693631,84862892,85077859,85207195,85527823,85568525,85644168,85756713,85881280,86039643,86157331,86413939,86808488,86823115,86850500,87066571,87130760,87146431,87500991,87545304,87614252,87621259,87708891,87866731,87898639,87925354,87946111,88139551,88293596,88610443,88682256,88813531,88878897,89138059,89202336,89223021,89236195,89382490,89386160,89628345,89650483,89727043,89793962,89900744,90318991,90350234,90468858,90568566,90596811,90714554,90865819,91617951,91625034,91636315,91726892,91837471,91862851,91929778,92128104,92141131,92325631,92427705,92508645,92633691,92721451,92785352,92943498,92964115,93229195,93323899,93326138,93339560,93396943,94094634,94155715,94482458,94587258,94648971,95340139,95393419,95453683,95504252,95511350,95603568,95819372,95847771,95987914,96134515,96313951,96349689,96553434,96616440,96683851,96759139,96779791,96941228,97258930,97328698,97370634,97659549,97828491,98022105,98299784,98488467,98512698,98553343,98589552,98675888,98758915,98961859,99001330,99045548,99260491,99492218,99625281,99767538,99905372,...,145012731276266424694389398046047414023857079095373950065532227956909492506380781852907680018927188358430149275225458078261807698997079328612189361962943219740293312741887399586335292724260586847109049792711545895118439870938387259011061590239872778517745557125240509253233584444132970126419572108369211687119453847087127091122681293024336597386918820507393390266027872392672585413365853728336102579617228999934317971957808621172762598350863823698336656761649197276528318571214578519883728873220652712059916860305024850139403990535716477636241029150303827999809750384288585681330558084972175763462665576278872974527474170184169580234369190735949472180818544411524406550386082906181859513434787405975626923146345200923161638332694467652636312568389831162217449698663197412824152262540680557132472581998715408814247276916932630753641746806584952410469979405219603033799173431112521842754381823644890763685108212280721487088046090074545540123667270782588777292497935583787546661337682727901385606522171913271465467211578220078121646691553601652373919768325479431885764896122074709242598448390708382569742426686074672202112372422605821492925058294633150341650211509134158812569875917795210329906944971003696766764656730469689205055697756458979239774083245282331269720827610198768132887511022010626107533102186882385059420067939479808766721058514786607223158490305427138559679207703338518230123768956411233475291964544984932666432917247938738853980128841760130514890526451853557385753473888333359527647110486772279811310173161386732853708648286137140236601650126557605005709740467040163777395383609220513812457504176451390974258763885783370821601336710911964078804986973346764843066924915766477573561859054017905318111072570262020786508763120096477591696586125442842938639553431324271111045319402266948072101609590093815040938101863609878103262212456370343965010132938784011477076251905104697400426243455927394151154615544888918569888072817719110657342847243735059203884187897292348417680754959235586988047362037996525428004505706256913165361211302457488737312626857047419164031566458969803446664460596804498605691786958440381973623197395744535818736597709905632239216613767434661022494057365221853599911806255945981895597251667988322757631656547025604415281401640996147939876367274129943699660578372129003748578056237894813721008603298285477638245670142922851079611348207525239403639221666607624709512749556213324943411496484119989153232108022049070689501778500555682412732151476692677268125986398259710119946759060459846}
15822 10231072384354636258115619289214727460725817932746506562139576620: {79085,94902,205517,300257,347798,489521,537302,726662,885304,915878,961421,995967,1149677,1185675,1264720,1306337,1400237,1422810,1482662,1517664,1643512,1671302,1707372,1848951,1859798,1957588,2179937,2236358,2366321,2401144,2607495,2612342,2701287,2707277,2781328,2800097,2800118,2831021,3016397,3128994,3662584,3724337,3755021,3871735,4028235,4092017,4120407,4214321,4296784,4297142,4367021,4646082,4669958,4823921,4833882,4973524,5400077,5413862,5425912,5447895,5531050,5599478,5734311,5811088,5852897,5913137,5970278,6104151,6303917,6483821,6537474,6633521,6637260,6753137,6902477,7079744,7081421,7111217,7187635,7447718,7527521,7705457,7794317,7815638,7901500,7964712,8001377,8366438,8441464,8514583,8590817,8625162,8717524,8858751,8960301,9098822,9462868,9481800,9496647,9700395,9835108,9945784,10021421,10113920,10195277,10268050,10339937,10347088,10446712,10455521,10501015,10599821,10667025,10738262,10919702,11100998,11115735,11146337,11189007,11197624,11378160,11461421,11575757,11640474,11698167,11752551,11856784,12136704,12145517,12163690,12321660,12432724,12529995,12570737,12597327,12601218,12708535,12768557,12800430,12906038,13143104,13153903,13172308,13191137,13338882,13343395,13365328,13624022,13653792,14160998,14170157,14420321,14596428,14697521,14785992,14946317,15001450,15035994,15053078,15250242,15359537,15360516,15524321,15688817,15770957,15806791,15941558,16012074,16071521,16316717,16497415,16506977,16634241,16913357,17002982,17184184,17219428,17376700,17444635,17452397,17559821,17883542,17934797,17961521,18001740,18059222,18155050,18334817,18600497,18675064,18733037,18791290,18918257,19047508,19129457,19201856,19332207,19585095,19633862,19681421,19796898,19838477,19982198,20177777,20426035,20619437,20665183,20677142,20852040,20878157,20890768,20907064,20933562,21009447,21239021,21332751,21470177,21602088,21649912,21673484,21715238,21786060,22242176,22388321,22404422,22489697,22549548,22581130,22682068,22767821,23238464,23328267,23405524,23458545,23502114,23520447,23546417,23621357,23729335,24127887,24302349,24356151,24445311,24511242,24515021,24615544,24832951,25022448,25031751,25105037,25373921,25520177,25815782,26101047,26143272,26319437,26322518,26463821,26749954,26844700,27038477,27097356,27561197,27667478,27692487,28002278,28079908,28150254,28336502,28384817,28475202,28723675,28804577,28943921,28967117,29003222,29046712,29152397,29175521,29180050,29291021,29314097,29395394,29411181,29429357,29521690,29864788,30002657,30576724,30663303,30751757,30817095,30962120,30989558,31072675,31201517,31318598,31549767,31675903,31782595,31892321,31989304,32003021,32213640,32302262,32333921,32465702,32465777,32663021,32677551,32871568,32956251,33059428,33412948,33624115,33639521,33768038,33899050,34092182,34302797,34361216,34468410,34577318,34738742,34832385,34900022,35000417,35016060,35042417,35126321,35176228,35426028,35564717,35627057,35730797,35864678,35987967,36240345,36297583,36349037,36581668,36655457,36664598,36766304,36871791,36899297,36980514,37142822,37154544,37287210,37301942,37350464,37352042,37503857,37632724,37650151,37778438,37919635,38139114,38160557,38214220,38331988,38456177,38475821,38656368,38691377,38867021,39111415,39195735,39235697,39274337,39524717,39620657,39671462,39765003,39773024,40040417,40097357,40208035,40211021,40235468,40348938,40418657,40475117,40587821,40588395,40610198,40678860,40886957,41126007,41233142,41362092,41467125,41497457,41607521,41624947,41698838,41717297,41798862,41808784,41972321,41993420,42019272,42024994,42135437,42351917,42569547,42674477,42780422,42934358,43118177,43183864,43294288,43390784,43417037,43487021,43488414,43496215,43644017,43748321,43835021,43852337,43884628,44051995,44231600,44504417,44623277,44744652,44770358,44791851,44920183,44927117,45251290,45503562,45510497,45530359,45604708,45686935,45831782,45857064,46081912,46100321,46116557,46197617,46343021,46407437,46433815,46647857,46933698,47034882,47186102,47201837,47271681,47295821,47317588,47451821,47899697,47991521,48008824,48034450,48249607,48249642,48310637,48454887,48581847,48706074,48814632,48819821,48825542,49026797,49129697,49334321,49348877,49365625,49661031,49760550,49824737,50153942,50392104,50417777,50740598,50901197,51033062,51074007,51105377,51280877,51361421,51508337,51589197,51842151,51853690,51943277,51956321,52034417,52099277,52184671,52195458,52215521,52292657,52458797,52598321,52602284,52631318,52862394,53064182,53077920,53208182,53286712,53360060,53566527,53631857,53703521,53715437,53785930,53928557,54004024,54009927,54243377,54301548,54404321,54455595,54481912,54676577,54724503,54749023,54755117,54782678,54824322,54916461,55076321,55283117,55399915,55412237,55720578,55813517,55873450,55886177,56152504,56176683,56198918,56243597,56433521,56616448,56669297,56691117,56761382,56775821,56862257,56871821,56901638,56961951,57070817,57098957,57343864,57431021,57440050,57443668,57479240,57485357,57512417,57600758,57619937,57641340,57646637,57743921,57879398,57883697,57998215,58055537,58085968,58164463,58182317,58296278,58332077,58463021,58573478,58695137,58774228,58804291,58973921,59106148,59120275,59131757,59205677,59227697,59238750,59264237,59307821,59422637,59458097,59464210,59563277,59652977,59666657,59712660,59721784,59727821,59894321,59947551,59990600,59991821,60023921,60084327,60087782,60125297,60175217,60181421,60267437,60430948,60452321,60516077,60539021,60673997,60754527,60813319,60815021,60906422,60914657,61021421,61090637,61163057,61266017,61292151,61302497,61307021,61309651,61333997,61348695,61400177,61421524,61449302,61484096,61502321,61559777,61619512,61677617,61681421,61722737,61737521,61755821,61788257,61823537,61830497,61874957,61931057,61940717,61972397,62018417,62068397,62080468,62096717,62124662,62137450,62189537,62221517,62224428,62235821,62315597,62330104,62355437,62379617,62437997,62452877,62460017,62480237,62481521,62489057,62512097,62538977,62555021,62558957,62577197,62582477,62634583,62930342,63167995,63171567,63188000,63211148,63303807,63331238,63464582,63693504,63769675,64032072,64050388,64065327,64171690,64393958,64511847,64543116,64644700,64664145,64921862,65043370,65267050,65346714,65438608,65440047,66230827,66479898,66817144,67048140,67187007,67489425,67994104,68090792,68297078,68333815,68534635,68552678,68928010,68928060,68975088,69128031,69169608,69321951,69395683,69442742,69597858,69710935,69895111,69948182,70121367,70442218,70702022,70827158,70848591,70944330,71076998,71086500,71357052,71518016,71655192,71888215,71988720,72036081,72440822,72563307,72607795,72919864,73299638,73523264,73618434,73665542,73688235,74076700,74151398,74514278,74549530,74564940,74643595,74875862,74938647,74996102,75022264,75116198,75122247,75146120,75169287,75361675,75475622,75673952,75801594,75825600,75957427,76239415,76493367,76523610,76602141,76787968,76900358,76981125,77006028,77135798,77274067,77573640,77596974,77658087,77815809,78049912,78052044,78212890,78320460,78600784,78663151,79361691,79535936,79749988,80144102,80457768,80505735,80612091,80688724,80747223,80880640,80937398,80987310,81187183,81606715,81625184,81672115,81723638,81865995,81992824,82000578,82034847,82113200,82241562,82247524,82295275,82713612,82713672,82745216,83055062,83092090,83165078,83391451,83494262,83541824,83653122,84006130,84400047,84417748,84539385,84582182,84930807,85133196,85303800,85686904,85872784,86012311,86081078,86197551,86265858,86341402,86386464,86876170,86924918,87129354,87238982,87270345,87270951,87323728,87655718,87806151,87863222,88217095,88276502,88379462,88423951,88425882,88443831,88446712,88892040,88994198,89135224,89197958,89212675,89219271,89266135,89299622,89325268,89459436,89477928,89572314,89572327,89593912,89599435,89704838,90007238,90175344,90301640,90320515,90434010,90514989,90843748,90940911,90990720,91005878,91193025,91195915,91433335,91487298,91828332,91892342,92053348,92185238,92241927,92320503,92377350,92670518,92709195,92919100,93052881,93088368,93152198,93248102,93343862,93855468,93984552,94387718,94458724,94669382,94762982,94818176,94856438,95818827,95836748,95966775,96397767,96462944,96606882,96695318,96762079,97056768,97184772,97272560,97586035,97928058,98006538,98213078,98239194,98328148,98446999,98535840,98651558,98754330,98889808,99009715,99136690,99442551,99451095,99502551,99514954,99587050,99603542,99710508,99774758,...,217519096914399637041584097069071121035785618643060925098298341935364238759571172779361520028390782537645223912838187117392711548495618992918284042944414829610439969112831099379502939086390880270663574689067318842677659806407580888516592385359809167776618335687860763879850376666199455189629358162553817530679180770630690636684021939536504896080378230761090085399041808589008878120048780592504153869425843499901476957936712931759143897526295735547504985142473795914792477856821867779825593309830979068089875290457537275209105985803574716454361543725455741999714625576432878521995837127458263645193998364418309461791211255276254370351553786103924208271227816617286609825579124359272789270152181108963440384719517801384742457499041701478954468852584746743326174547994796119236228393811020835698708872998073113221370915375398946130462620209877428615704969107829404550698760146668782764131572735467336145527662318421082230632069135111818310185500906173883165938746903375681319992006524091852078409783257869907198200817367330117182470037330402478560879652488219147828647344183112063863897672586062573854613640029112008303168558633908732239387587441949725512475317263701238218854813876692815494860417456505545150146985095704533807583546634688468859661124867923496904581241415298152199331266533015939161299653280323577589130101909219713150081587772179910834737735458140707839518811555007777345185653434616850212937946817477398999649375871908108280970193262640195772335789677780336078630210832500039291470665730158419716965259742080099280562972429205710354902475189836407508564610700560245666093075413830770718686256264677086461388145828675056232402005066367946118207480460020147264600387373649716360342788581026857977166608855393031179763144680144716387544879188164264407959330146986406666567979103400422108152414385140722561407152795414817154893318684555515947515199408176017215614377857657046100639365183891091226731923317333377854832109226578665986014270865602588805826281845938522626521132438853380482071043056994788142006758559385369748041816953686233105968940285571128746047349688454705169996690895206747908537680437660572960434796093616803728104896564858448358824920651151991533741086047832780399867709383918972843395877501982484136447484820538406622922102461494221909814550911194915549490867558193505622867084356842220581512904947428216457368505214384276619417022311287859105458832499911437064269124334319987415117244726179983729848162033073606034252667750833523619098227215039015902188979597389565179920138590689769}
15823 10276094608982103667224115881244531620459043603003454214960033674: {15823,126536,142353,521697,774641,805953,1089993,1106630,1327956,1373817,1438073,1580900,1897080,2023552,2054390,2101001,2134215,2223993,2276496,2433662,2446985,2465268,2506953,2561058,2669693,2789697,2936382,3001430,3204761,3354537,3476660,3601716,3759686,3900377,3918513,4171992,4200177,4517942,4578230,4693491,4720313,4747673,5084702,5099201,5370980,5493876,6194776,6216905,6445176,6445713,6600638,6782390,6969123,6979622,7004937,7250823,7263860,7386281,7460286,7586813,7645748,7988222,8120793,8138868,8296575,8399217,8702561,8716632,8813753,8849680,8955417,9053702,9124886,9140873,9290297,9797921,9806211,9876875,9955890,10374686,10551830,10619616,10896905,11084201,11171577,11500216,11694662,11723457,11811668,11828585,11852250,11947068,12293885,12432230,12488957,12549657,12638417,12642400,12662196,12839222,12876737,12933860,12937743,13058390,13076286,13648233,13671977,13997030,14194302,14222700,14527097,14752662,14820980,14915582,14918676,14934413,15036161,15146321,15170880,15402075,15520632,15540905,15597556,15670068,16107393,16155737,16182272,16340681,16379553,16428880,16465385,16624742,16651497,16706660,16796436,16801624,16807622,16969433,17067240,17381846,17460711,17785176,17926721,18205056,18245535,18279422,18293681,18482490,18649086,18901827,18943673,19200645,19259942,19359057,19461904,19524653,19714656,19758462,19834886,20008323,20033201,20047992,20333656,20436033,20480688,20993417,21121361,21135158,21223817,21241497,21349432,21480230,21524285,21538601,21560381,21720875,21818897,21894642,22081817,22178988,22483742,22502175,22553991,22579617,22875363,23040774,23042582,23343830,23809385,23912337,24002320,24018111,24158966,24244553,24555638,24584318,25273622,25415873,25504473,25776276,25829142,25859177,25892633,26012921,26065050,26113460,26133830,26395864,26405633,26701337,26825222,26825313,27002610,27062390,27088833,27091855,27232575,27340478,27370121,27747857,27802720,27831677,27911416,27990641,28012596,28058657,28186935,28317497,28338278,28352585,28443668,28571262,28717502,28762622,28775657,28802784,29048080,29050502,29097713,29256905,29450793,29695347,29747321,29973297,30066064,30335357,30557561,30769430,30852413,31015713,31104356,31278060,31336152,31360596,31400343,31718486,31796393,32170516,32403132,32474868,32510226,32572857,32593748,32679090,32681656,33155993,33159137,33363264,33375668,33555875,33606633,33824322,33850961,33871695,33960953,34023102,34332041,34801396,34857696,35099885,35108286,35253171,35841833,35848886,36129808,36209921,36308390,36582686,36766863,36775037,36923316,37021121,37330985,37533672,37785881,37882502,37966936,37979462,38220905,38702650,38723673,38781977,39044342,39214908,39253577,39278006,39483777,39986630,40033958,40124931,40267050,40321673,40646034,40781201,40884404,41089460,41324285,41501217,41766185,41767181,42003417,42007721,42066356,42119862,42225381,42442238,42504753,42712803,42715646,42951520,43346753,43504833,43570068,43770075,43818302,43941668,43970285,44093091,44158022,44282535,44797182,45186878,45727085,45865086,45957880,45985433,46327721,46384637,46443180,46484337,46625873,46675001,46688080,46977897,47040905,47234704,47253521,47671673,47767775,47914985,47921918,47983956,48320460,48381686,48440177,48453393,48482942,48698553,48777677,49133441,49162388,49307352,49539392,49589142,49716280,50068217,50119422,50175881,50294335,50652057,50769017,50825222,50848575,50852152,51138273,51336758,51364382,51541824,51702615,51711782,51865977,52108113,52256561,52260980,52350033,52491775,52524090,52764342,52798481,52914518,52992857,53020004,53139042,53797017,53798584,53838326,53917073,53979830,54117860,54238480,54346877,54348977,54538841,54733286,54834676,54855785,54872502,54923537,54996897,55149456,55289500,55470771,55488662,55656278,55714233,55731816,55820102,55930815,55952913,56025696,56028063,56110142,56449086,56486873,56667657,56759396,57005885,57123833,57208671,57258782,57321330,57472382,57497982,57543998,57602390,57701561,57984552,58417001,58465001,59075153,59146985,59494841,59507193,59579443,59659536,59722468,59767913,60011030,60353202,60523407,60634982,60671416,60915297,61018290,61142752,61696982,61849713,62043138,62073161,62234678,62548257,62578264,62698293,62713176,62990130,63028908,63037491,63057293,63346217,63584702,63599321,63804881,63846653,64170633,64332856,64401537,64606516,64775796,64941432,65021897,65086176,65232621,65413793,65631038,65644481,65752855,65826942,66016697,66212417,66214708,66347400,66608390,66700075,67116978,67155537,67189472,67505030,67787213,67876935,67913222,68093897,68098676,68102390,68255343,68293673,68349542,68407062,68500697,68747673,68775686,68785596,69122868,69279473,69481886,69593944,70146557,70190630,70400547,70483192,70552323,70770560,70779153,70976382,71275721,71405777,71422036,71480561,71679830,71743721,71804585,71849050,72013236,72051675,72109817,72255017,72374463,72402064,72607460,72737366,72966004,72976886,73059111,73099096,73215521,73221948,73238313,73449977,73467785,73678553,73882685,74236217,74294104,74640825,74652230,74902244,74976041,74988250,75138686,75230913,75538685,75576377,75588156,75949268,76110897,76125953,76408262,76549593,76705553,76776905,76811033,76855120,77024390,77390873,77600585,77658377,77780535,77821502,77912630,77993321,78010238,78172457,78293187,78394673,78497078,78903426,78946977,78973337,78985000,79013935,79293591,79324781,79382777,79546493,79596273,79616880,79812273,79930068,80040090,80062985,80112436,80262041,80472521,80678895,80805875,81006036,81264257,81452322,81718601,81722868,81798260,81887117,82174017,82236483,82438253,82546838,82965904,83521430,83523686,83580867,83764697,83810175,83834777,84053057,84228756,84298377,84405076,84924672,84992630,85113490,85142073,85352457,85376096,85420436,85526153,85916798,86015796,86057488,86160075,86165502,86218860,86243537,86349737,86401137,86462010,86528582,86557133,86682422,86819097,87128952,87253396,87318797,87444417,87860217,87957617,88150817,88161342,88639864,88659222,88858125,89149457,89196315,89397520,89568990,89582676,89662157,89662241,89936441,89985900,90131673,90374657,90394001,90473597,90646422,90788861,90877721,91149830,91359633,91548137,91549982,91710521,91904080,91959062,91966784,91971638,91986557,92132286,92152913,92170708,92173953,92226144,92373521,92429268,92595875,92694161,92797144,92821022,93120702,93186993,93206175,93336642,93408881,93422321,93486257,93495156,93601123,93777830,93932650,94395513,94409342,94464788,94592440,94782000,94816722,94926353,94996857,95142736,95171897,95196873,95352377,95466137,95540256,95728721,95832401,95984960,96048108,96075582,96257535,96323921,96487421,96509801,96590937,96671102,96745766,96751076,96810161,96814674,96967050,97309697,97382793,97562390,97565055,97591361,97781177,97900575,98020071,98157912,98250980,98566601,98695622,99035201,99147926,99396161,99419920,99687485,99719847,99918196,...,290025462552532849388778796092094828047714158190747900131064455913818985012761563705815360037854376716860298550450916156523615397994158657224378723925886439480586625483774799172670585448521173694218099585423091790236879741876774518022123180479745557035491114250481018506467168888265940252839144216738423374238907694174254182245362586048673194773837641014786780532055744785345170826731707456672205159234457999868635943915617242345525196701727647396673313523298394553056637142429157039767457746441305424119833720610049700278807981071432955272482058300607655999619500768577171362661116169944351526925331152557745949054948340368339160468738381471898944361637088823048813100772165812363719026869574811951253846292690401846323276665388935305272625136779662324434899397326394825648304525081361114264945163997430817628494553833865261507283493613169904820939958810439206067598346862225043685508763647289781527370216424561442974176092180149091080247334541565177554584995871167575093322675365455802771213044343826542930934423156440156243293383107203304747839536650958863771529792244149418485196896781416765139484853372149344404224744845211642985850116589266300683300423018268317625139751835590420659813889942007393533529313460939378410111395512917958479548166490564662539441655220397536265775022044021252215066204373764770118840135878959617533442117029573214446316980610854277119358415406677036460247537912822466950583929089969865332865834495877477707960257683520261029781052903707114771506947776666719055294220973544559622620346322773465707417296572274280473203300253115210011419480934080327554790767218441027624915008352902781948517527771566741643202673421823928157609973946693529686133849831532955147123718108035810636222145140524041573017526240192955183393172250885685877279106862648542222090638804533896144203219180187630081876203727219756206524424912740687930020265877568022954152503810209394800852486911854788302309231089777837139776145635438221314685694487470118407768375794584696835361509918471173976094724075993050856009011412513826330722422604914977474625253714094838328063132917939606893328921193608997211383573916880763947246394791489071637473195419811264478433227534869322044988114730443707199823612511891963791194503335976645515263313094051208830562803281992295879752734548259887399321156744258007497156112475789627442017206596570955276491340285845702159222696415050478807278443333215249419025499112426649886822992968239978306464216044098141379003557001111364825464302953385354536251972796519420239893518120919692}
15824 10321313402898109177743701993677246434965259054587882215534665931: {110719,158170,189804,411034,584119,600514,695596,979042,1074604,1453324,1525519,1659945,1770608,1831756,1922842,1976125,1991934,2299354,2371350,2459719,2529440,2552743,2612674,2800474,2831383,2845620,2965324,3035328,3081585,3287024,3342604,3414744,3479023,3650493,3697902,3719596,3755503,3841587,3915176,4345825,4359874,4398103,4404573,4472716,4502145,4732642,4802288,4854943,5128183,5214990,5224684,5402574,5414554,5420429,5562656,5600194,5600236,5639529,5662042,5763223,6032794,6124519,6257988,6664303,6713725,6776913,6867345,7112143,7325168,7448674,7510042,7627053,7743470,8056470,8184034,8240814,8356519,8428642,8593568,8594284,8734042,9079825,9236719,9292164,9339916,9557185,9586783,9647842,9667764,9900957,9947048,10062689,10173585,10469433,10800154,10827724,10851824,10895790,11061703,11062100,11190429,11198956,11319823,11468622,11622176,11705794,11826274,11940556,11982333,12175543,12208302,12607834,12967642,13074948,13108519,13267042,13274520,13506274,13580553,13687329,13804954,13949119,14159488,14162842,14222434,14375270,14701421,14764585,14782519,14895436,14933835,15055042,15410914,15562029,15588634,15631276,15803000,15827745,15929424,16002754,16019119,16100983,16167325,16732876,16882928,17029166,17158663,17181634,17250324,17435048,17541993,17717502,17778375,17791949,17920602,17963983,18197644,18526225,18648345,18680753,18762103,18925736,18963600,18993294,19158463,19258833,19400790,19496945,19587585,19614429,19670216,19891568,20042842,20227840,20390554,20492623,20536100,20679874,20694176,20883325,20893424,20911042,20995545,21002030,21017821,21199642,21267703,21291453,21334050,21476524,21839404,21882583,22035583,22128993,22201996,22231470,22292674,22373373,22378014,22395248,22756320,22922842,23096381,23098519,23151514,23280948,23396334,23505102,23713568,24273408,24291034,24327380,24422489,24518503,24643320,24666463,24865448,24937113,25059990,25141474,25194654,25202436,25211433,25417070,25537114,25600860,25812076,25985143,26072769,26286208,26307806,26344616,26382274,26677764,26686790,26730656,27066223,27248044,27307584,27419133,27565183,27723735,27848719,27973629,28321996,28340314,28596449,28840642,28889913,28971343,29179783,29192856,29249119,29318383,29348033,29395042,29571984,29637693,29752329,29892634,30002900,30071988,30106156,30500484,30719074,30721032,30959119,31048642,31228543,31377634,31541914,31613582,31630519,31702737,31883116,32024148,32029903,32143042,32220345,32633434,32641825,32841963,32994830,33013954,33221069,33268482,33725613,33826714,33923719,34005964,34368368,34438856,34561161,34563873,34753400,34879519,34889270,34904794,35015745,35119642,35194519,35554585,35756983,35767084,35869594,35923042,36003480,36118444,36238449,36310100,36375103,36669634,36833457,36876477,36986023,37046719,37200994,37350128,37466074,37582580,37649719,37836514,37910433,38095016,38186263,38258914,38403712,38481823,38664414,38743713,38880445,39067543,39097575,39125719,39170190,39200745,39267724,39362842,39593796,39646063,39676954,39964396,40213145,40237833,40274119,40355554,40503915,40593585,40742185,40852070,41010717,41060863,41238874,41330366,41354284,41393719,41448943,41704080,41719585,41756314,41781536,41814128,41867124,41997223,42018894,42160303,42478042,42507417,42538303,42665502,42856893,42940354,43076253,43143933,43204176,43299824,43346968,43430476,43501745,43546519,43572120,43575753,43755463,43859503,44118343,44484352,44495633,44776642,44808844,44979394,45085519,45099096,45162260,45364136,45535642,46124263,46154145,46476928,46656534,46811048,46917090,47004228,47040894,47073761,47092834,47242714,47319463,47458670,47577729,48014983,48255774,48604698,48712302,48765339,48890622,49018635,49022484,49030042,49049983,49231088,49357423,49531519,49665902,49747519,49961719,50044896,50063502,50210074,50551903,50736483,50747842,51005719,51034653,51040354,51046543,51105505,51361825,51410719,51631564,51965623,52043743,52202094,52286544,52582945,52638874,52645036,52662429,52927642,53087489,53107183,53499908,53689400,53725303,53773329,53867719,54044119,54076954,54079183,54194712,54462585,54698023,54755981,54765343,54874029,54927085,55064719,55122394,55228519,55334956,55347457,55384974,55390519,55896823,56004556,56020519,56159816,56291249,56300508,56673004,56769634,56796463,56823753,56882863,56950404,56969193,57053719,57166183,57447350,57469519,57609154,57631303,57887842,57934234,58006444,58053975,58093424,58304794,58351042,58352023,58360100,58376719,58566513,58582042,58628194,58643623,58762063,58790788,58822362,58858714,58917009,58970719,59043380,59084119,59106583,59283703,59540743,59706343,59729576,59926519,59979945,60005314,60050937,60194143,60376663,60394519,60400575,60551983,60736519,60894701,60969051,60974119,61064623,61108903,61153448,61209703,61320583,61326606,61413823,61452985,61503514,61540903,61634190,61672793,61695343,61924240,61979116,62059519,62145350,62152183,62221519,62330383,62403034,62435719,62459119,62476543,62496703,62504263,62564023,62598223,62637196,63099534,63179793,63351806,63565190,63663357,63784642,63961709,63978608,64006042,64073469,64427280,64604524,64667842,64931404,64931554,65007341,65326042,65326225,65355102,65727453,65743136,65912502,66118856,66237033,66275005,66825896,67195773,67248230,67279042,67536076,67647325,67780317,67798100,67839673,68184364,68543345,68605594,68722432,68797629,68936820,69111875,69154636,69477484,69664770,69800044,70000834,70032120,70084834,70252642,70352456,70852056,70949245,71129434,71254114,71461594,71729356,71882877,71975934,72480690,72572529,72595166,72698074,72724413,73163336,73310914,73329196,73532608,73743582,73798594,73961028,74022689,74285644,74309088,74383713,74574420,74603884,74653085,74700928,74704084,75007714,75179133,75265448,75300302,75556876,75839270,76237833,76278228,76321114,76428440,76663976,76912354,76951642,77005137,77046573,77312736,77382754,77492749,77559881,77567673,77734042,78190321,78222830,78391470,78471394,78548674,78786135,79049434,79146513,79241314,79342924,79371777,79530006,79546048,79708563,80080834,80194714,80416070,80422042,80470936,80697876,80757489,80758145,80837314,80950234,80969745,81175642,81176790,81197501,81220396,81357720,81773914,82099929,82252014,82308753,82466284,82603313,82724184,82768385,82934250,82994914,83215042,83232993,83249894,83397676,83434594,83484417,83597724,83617568,83730153,83944642,83986840,84038544,84049988,84165213,84270874,84673629,84703834,85123345,85139094,85348954,85504441,85560844,85868716,85888173,85981995,86208573,86236354,86246973,86315997,86367728,86403585,86588576,86781568,86834074,86974042,86976828,86992430,87288034,87496642,87670042,87704674,87769256,88103990,88435193,88463200,89008834,89246554,89277545,89489304,89540716,89583702,89840366,89854234,90016545,90502580,90529803,90759325,90952473,91007124,91020994,91060718,91207505,91209416,91373870,91527435,91663564,91714128,91748173,92163824,92200642,92233114,92395234,92545473,92686042,92814874,92867630,93064707,93295714,93352017,93627805,93867396,94069764,94372204,94403674,94485195,94543362,94591642,94635176,94903642,94936585,95377053,95667341,95799394,95948489,95983042,96017648,96068900,96499214,96499284,96621274,96909774,97163694,97412148,97595309,97629264,97639642,97651084,98053594,98259394,98446557,98553533,98668642,98697754,98731250,98740413,99322062,99521100,99649474,99912585,...,435038193828799274083168194138142242071571237286121850196596683870728477519142345558723040056781565075290447825676374234785423096991237985836568085888829659220879938225662198759005878172781760541327149378134637685355319612815161777033184770719618335553236671375721527759700753332398910379258716325107635061358361541261381273368043879073009792160756461522180170798083617178017756240097561185008307738851686999802953915873425863518287795052591471095009970284947591829584955713643735559651186619661958136179750580915074550418211971607149432908723087450911483999429251152865757043991674254916527290387996728836618923582422510552508740703107572207848416542455633234573219651158248718545578540304362217926880769439035602769484914998083402957908937705169493486652349095989592238472456787622041671397417745996146226442741830750797892260925240419754857231409938215658809101397520293337565528263145470934672291055324636842164461264138270223636620371001812347766331877493806751362639984013048183704156819566515739814396401634734660234364940074660804957121759304976438295657294688366224127727795345172125147709227280058224016606337117267817464478775174883899451024950634527402476437709627753385630989720834913011090300293970191409067615167093269376937719322249735846993809162482830596304398662533066031878322599306560647155178260203818439426300163175544359821669475470916281415679037623110015554690371306869233700425875893634954797999298751743816216561940386525280391544671579355560672157260421665000078582941331460316839433930519484160198561125944858411420709804950379672815017129221401120491332186150827661541437372512529354172922776291657350112464804010132735892236414960920040294529200774747299432720685577162053715954333217710786062359526289360289432775089758376328528815918660293972813333135958206800844216304828770281445122814305590829634309786637369111031895030398816352034431228755715314092201278730367782182453463846634666755709664218453157331972028541731205177611652563691877045253042264877706760964142086113989576284013517118770739496083633907372466211937880571142257492094699376909410339993381790413495817075360875321145920869592187233607456209793129716896717649841302303983067482172095665560799735418767837945686791755003964968272894969641076813245844204922988443819629101822389831098981735116387011245734168713684441163025809894856432914737010428768553238834044622575718210917664999822874128538248668639974830234489452359967459696324066147212068505335501667047238196454430078031804377959194779130359840277181379538}
15825 10366729617600565119862769203085694846606742717967795781586554782: {31646,237255,253072,284706,616551,869495,900771,1043394,1343255,1468563,1549282,1611906,1816655,1912163,2179986,2213260,2289695,2655912,2747634,2876146,2884263,2954039,2987901,3161800,3425779,3449031,3557025,3706655,3794160,3919011,3995123,4047104,4108780,4178255,4200711,4202002,4268430,4447986,4552992,4563599,4649495,4867324,4893970,4930536,5013906,5122116,5339386,5546853,5579394,5590895,5699107,5872764,6002860,6409522,6530855,6539811,6709074,6953320,7000295,7098963,7113623,7203432,7519372,7800754,7822485,7837026,8103861,8121831,8151539,8343984,8400291,8400354,8493063,8703667,9035884,9049191,9156460,9188663,9386982,9440626,9495346,10169404,10198402,10520591,10741960,10742855,10987752,10989599,11173011,11265063,11615205,11674895,12084705,12276051,12361221,12389552,12433810,12593039,12642963,12890352,12891426,13101063,13201276,13260047,13534655,13564780,13827625,13938246,13959244,13998695,14009874,14362403,14471763,14501646,14527720,14772562,14862623,14920572,14925695,14936311,15173626,15255667,15291496,15796247,15976444,16157791,16200231,16241586,16277736,16343685,16560019,16593150,16798434,17202933,17211439,17405122,17433264,17558691,17627506,17699360,17739411,17910834,18107404,18249772,18281746,18312453,18580594,18619295,18911751,18994559,19198031,19451463,19539095,19595842,19612422,19753750,19900563,19911780,20035747,20259411,20707431,20749372,20916095,21103660,21239232,21244263,21333651,21465887,21562905,21757267,21793810,21821671,22168402,22343154,22582563,22599203,22747055,23000432,23051539,23116371,23382951,23389324,23446914,23606227,23623336,23657170,23704500,23894136,24004131,24587770,24864460,24977914,25099314,25276834,25284800,25324392,25543749,25670125,25678444,25688723,25753474,25772451,25867720,25875486,26116780,26152572,26576253,26845655,26880903,26926007,27296466,27299255,27343954,27752495,27994060,28388604,28445400,28489941,28743539,29054194,29101185,29101411,29505324,29641960,29751103,29764823,29831164,29837352,29868826,30064263,30072322,30133999,30292642,30325199,30341760,30409225,30585831,30742543,30804150,31019811,31041264,31081810,31195112,31340136,31366563,31503045,31799463,32001075,32214786,32265095,32311474,32364544,32664979,32681362,32759106,32857760,32930770,33160231,33249484,33302994,33333139,33347205,33413320,33439011,33567021,33592872,33603248,33615244,33938866,34060055,34134480,34183463,34384263,34727271,34749779,34763692,34921422,35094501,35257653,35402495,35495839,35570352,35853442,36410112,36436551,36491070,36497759,36558844,36587362,36964980,37298172,37503625,37589985,37632695,37712211,37791981,37803654,37833427,37887346,37928597,38125605,38305671,38401290,38519884,38718114,38923808,39049306,39188071,39429312,39461709,39516924,39573411,39669772,39693619,39853895,39934103,40016646,40030185,40066402,40095984,40667312,40872066,40959667,40961376,41376547,41986834,42242722,42270316,42447634,42482994,42507455,42510471,42698864,42793543,42960460,43048570,43077202,43120762,43260963,43441750,43637794,43789284,44092563,44163634,44357976,44404799,44708855,44838951,44967484,44989043,45004350,45107982,45148055,45159234,45387625,45750726,46078611,46081548,46085164,46390591,46572963,46680967,46687660,46978225,47066451,47216723,47312871,47420373,47559047,47618770,47824674,48004640,48036222,48214563,48317932,48446371,48489106,48950151,49084655,49111276,49139839,49168636,49492245,49520931,49902723,49955495,50547244,50740071,50831746,51008946,51393191,51552552,51658284,51692855,51718354,51785266,52025842,52130100,52226920,52263379,52267660,52333905,52357191,52679463,52791728,52811266,53402674,53509267,53650444,53650626,53804391,53884563,54005220,54038039,54124780,54177666,54183710,54288095,54465150,54680956,54740242,54750943,55004451,55495714,55605440,55663354,55801491,55822832,55981282,56011055,56025192,56117314,56199111,56373870,56452825,56634994,56676556,56705170,56754771,56887336,57142524,57388371,57435004,57525244,57551314,57605568,57853999,57996621,58096160,58101004,58195426,58472659,58513810,58755285,58901586,59010067,59037539,59044263,59390694,59494642,59515431,59946594,60035063,60127079,60132128,60533331,60670714,61115122,61278105,61538860,61558399,61680979,61704826,61858311,61995549,62031426,62187791,62208712,62556120,62634471,62672304,62721192,62800686,63028341,63233407,63256847,63436972,63592786,63717063,63998253,64017919,64341032,64410531,64539455,64806264,64943303,64949736,65020452,65145714,65187496,65358180,65363312,65806295,65857267,66025171,66311986,66318274,66726528,66751336,66874885,67080979,67111750,67164963,67213266,67469091,67610687,67648644,67701922,67743390,67921906,67942319,67986743,68046204,68303463,68664082,69168695,69442291,69602792,69715392,69984801,70005695,70199770,70216572,70375635,70412069,70506342,70561341,70639251,70841255,70864071,71188005,71683666,71697772,72259616,72383661,72419842,72508055,72603743,72616780,72907047,72930803,72950125,73068453,73165372,73224883,73335933,73488485,73533726,73545063,73550074,73591039,73804225,73846632,73976711,74042242,74172479,74498853,74661970,74863711,75067344,75095253,75315111,75571762,75691247,75765004,75933872,75958924,76121763,76441810,76560531,76798099,76799651,77405300,77447346,77473895,77563954,78088684,78296495,78303141,78429816,78507154,78556012,78809459,78958311,78967554,79058003,79391463,79808239,79973260,80067916,80249862,80482807,80534100,80643346,80755655,81115431,81164255,81292068,81562402,81768808,81932639,82178920,82648570,82683591,82805779,82988947,83002434,83077461,83434271,83532370,83534362,83553391,83886863,84006834,84015442,84132712,84234943,84239724,84420095,84450762,84747625,84884476,85009506,85154451,85230455,85425606,85431292,85903040,86171025,86413731,86443295,86693506,86831763,86846855,86901351,87009666,87140136,87250055,87457191,87526563,87540150,87636604,87733711,87873063,87883336,87889199,87940570,87942291,88186182,88233543,88288071,88316044,88565070,89594364,89661695,89775923,90007971,90373756,91204439,91454170,91661495,91730172,91915760,91970866,91989909,92053997,92136871,92255271,92349203,92385631,92451285,92655442,92701639,92769274,92857055,92886360,92968674,93218025,93251746,93254855,93340783,93350002,93376160,93380105,93498211,93604551,93955794,94081810,94446095,94469408,94507042,94649301,95027709,95343346,95347785,95535550,95676963,95829970,95843836,95967912,96009063,96338579,96640920,96763372,96880354,96906786,96965884,97001763,97397106,97397331,97555354,97777747,97989063,98032653,98266882,98320739,98324776,98398063,98614704,98868753,99078784,99178284,99178655,99335431,99432560,...,652557290743198911124752291207213363107356855929182775294895025806092716278713518338084560085172347612935671738514561352178134645486856978754852128833244488831319907338493298138508817259172640811990724067201956528032979419222742665549777156079427503329855007063582291639551129998598365568888074487661452592037542311892071910052065818609514688241134692283270256197125425767026634360146341777512461608277530499704430873810138795277431692578887206642514955427421387744377433570465603339476779929492937204269625871372611825627317957410724149363084631176367225999143876729298635565987511382374790935581995093254928385373633765828763111054661358311772624813683449851859829476737373077818367810456543326890321154158553404154227372497125104436863406557754240229978523643984388357708685181433062507096126618994219339664112746126196838391387860629632285847114907323488213652096280440006348292394718206402008436582986955263246691896207405335454930556502718521649497816240710127043959976019572275556235229349773609721594602452101990351547410111991207435682638957464657443485942032549336191591693017758187721563840920087336024909505675901726196718162762325849176537425951791103714656564441630078446484581252369516635450440955287113601422750639904065406578983374603770490713743724245894456597993799599047817483898959840970732767390305727659139450244763316539732504213206374422123518556434665023332035556960303850550638813840452432196998948127615724324842910579787920587317007369033341008235890632497500117874411997190475259150895779226240297841688917287617131064707425569509222525693832101680736998279226241492312156058768794031259384164437486025168697206015199103838354622441380060441793801162120949149081028365743080573931499826566179093539289434040434149162634637564492793223877990440959219999703937310201266324457243155422167684221458386244451464679956053666547842545598224528051646843133572971138301918095551673273680195769952000133564496327679735997958042812596807766417478845537815567879563397316560141446213129170984364426020275678156109244125450861058699317906820856713386238142049065364115509990072685620243725613041312981718881304388280850411184314689694575345076474761953455974601223258143498341199603128151756918530187632505947452409342454461615219868766307384482665729443652733584746648472602674580516868601253070526661744538714842284649372105515643152829858251066933863577316376497499734311192807373002959962245351734178539951189544486099220818102758003252500570857294681645117047706566938792168695539760415772069307}
15826 10412344108246929516474067017746596595923127475592467047390959944: {47469,221438,268753,316340,363469,379608,427059,458113,822068,835969,930253,1168238,1201028,1391192,1400593,1565091,1958084,2149208,2323923,2417859,2766575,2800813,2906648,3051038,3078913,3269979,3319890,3541216,3663512,3845684,3952250,3983868,4001233,4121451,4314219,4598708,4742700,4919438,5058880,5105486,5135975,5225348,5461969,5552653,5600948,5662766,5691240,5914669,5930648,6070656,6084155,6163170,6303003,6402645,6574048,6671979,6685208,6814669,6829488,6904273,6958046,7172653,7300986,7340955,7395804,7439192,7503575,7511006,7520859,7683174,7830352,8009079,8369091,8504833,8593069,8691650,8719748,8796206,8809146,8945432,9004290,9033169,9120973,9399215,9465284,9604576,9614283,9709886,9907969,10063611,10255873,10256366,10429980,10449368,10805148,10829108,10840858,10861933,11125312,11200388,11200472,11206669,11279058,11294855,11324084,11445575,11526446,11635969,11701131,11755539,12065588,12148753,12249038,12515976,12600531,12711755,12828433,13250893,13328606,13380059,13427450,13553826,13734690,13839313,14080473,14090413,14160939,14224286,14243019,14590669,14650336,14897348,15005569,15020084,15254106,15297603,15486940,16112940,16239469,16321153,16368068,16481628,16501595,16713038,16857284,16955975,17187136,17188568,17376493,17449055,17457169,17468084,18159650,18473438,18579073,18584328,18650715,18658669,18679832,18738193,18976333,19114370,19173566,19295684,19335528,19337139,19801914,19894096,19970555,20125378,20347170,20670419,20702893,20907369,20938866,21014811,21476173,21600308,21655448,21703648,21752469,21783469,21791580,22123406,22124200,22158843,22380858,22397912,22546669,22634255,22639646,22760439,22812215,22937244,23001133,23244352,23411588,23603053,23652548,23881112,23964666,24351086,24362379,24416604,24839243,24889725,25197651,25215668,25935284,25936715,26107683,26149896,26217038,26379575,26441259,26534084,26549040,26615569,26866251,27012548,27046273,27161106,27295723,27374658,27422619,27609908,27616513,27870891,27898238,27970573,28318976,28325684,28393069,28444868,28463233,28750540,29160913,29236655,29393763,29402842,29418633,29529170,29565038,29630625,29790872,29867670,30057133,30110084,30125569,30805969,30821828,31080575,31124058,31177268,31262552,31546093,31606000,31655490,31746433,31858848,32005508,32038238,32098055,32201966,32334650,32473859,32645975,32690715,32869453,33252603,33465752,33514731,33765856,34058332,34317326,34363268,34483153,34500648,34684039,34870096,34992575,35053069,35083986,35170371,35429773,35435004,35485755,35556750,35583898,35841204,35927966,36237073,36360193,36395288,36666733,36881655,36910669,37052450,37288955,37296690,37361506,37466871,37515469,37524206,37575553,37648971,37755373,37851472,37915251,37927200,37986588,38316926,38517666,38630211,38801580,38813229,38993890,39175170,39228858,39286669,39340432,39783136,39805393,40085684,40091053,40455680,40781108,40937233,40944699,40985246,41015931,41072200,41326573,41359748,41388352,41547469,41561855,41602513,41766650,41767213,41786848,41822084,41991090,42004060,42019055,42035642,42148993,42365569,42399284,42535406,42582906,42668100,42688273,42953048,43454615,43581291,43640833,43678808,43765166,44071166,44211469,44257986,44403992,44462940,44585348,44671873,44746746,44756028,44790496,44803239,45025933,45108483,45438963,45512640,45698555,45845684,46192762,46197038,46206225,46303028,46561896,46622715,46647553,46695469,46743313,46792668,47010204,47405569,47427136,47452333,47685073,48149855,48281773,48322179,48467211,48546816,48582068,48654760,48844978,49022043,49037006,49043713,49138659,49286640,49332926,49396155,49587215,49730896,49776419,49827793,49874226,49954491,50119980,50282948,50389308,50404872,50422866,50671633,50834140,50908299,51074228,51201720,51285613,51526669,51624152,51961873,51970286,52145538,52382133,52503169,52572416,52615612,52689232,52764548,52837895,52918573,53355528,53373580,53398273,53461312,53470993,53700575,53758993,53780163,53794669,53936653,53971969,54132446,54432623,54496088,54615168,54629293,54736605,54838266,54881043,55130366,55447470,55454593,55697438,55772113,55947258,56209355,56265169,56295373,56298403,56643992,56680628,56705481,56710669,56831019,57039059,57139969,57192898,57526033,57601935,57606455,57681284,57687169,57779826,57942686,58077171,58359566,58359575,58385712,58407419,58498238,58551313,58573959,58575469,58636766,58696066,58718893,58790084,58906093,59143968,59164523,59275386,59504658,59670913,59691469,59785268,59971693,60005800,60024969,60099603,60106513,60143976,60181969,60200653,60212312,60292993,60397415,60472273,60809233,60888973,60902443,61000968,61027969,61117393,61308099,61389095,61436173,61438148,61442064,61460795,61500433,61513069,61705453,61739473,61816333,61858669,61918238,61920013,61997773,62097284,62147713,62179969,62218669,62407633,62457086,62468113,62506669,62510593,62521933,62571469,62591233,62606353,62614273,62615533,62755268,62980251,63083828,63184055,63227164,63261038,63364083,63405474,63671451,63724491,63766232,64048296,64059806,64286084,64440690,64572855,64615803,64681143,65162625,65266868,65283650,65334575,65410631,65456691,65683926,65989660,66027908,66245451,66442138,66536964,67063055,67451226,67506525,67653428,67655975,67661973,67738851,67847438,68011928,68351195,68626089,68736736,68877712,69122322,69127746,69506800,69759038,69778540,69809588,70031490,70239284,70389038,70588859,70845695,71109170,71428155,71513966,71534168,71547707,71737011,71739188,71793755,71846084,71906555,72006960,72054333,72236888,72476898,72620200,72626255,72733659,72750206,73339268,73616123,73666914,73752954,73972046,74093438,74401988,74700256,74932148,75165160,75299438,75673028,75820811,75820866,76190032,76247619,76372526,76513419,76517828,76807424,76897919,76923575,76963646,77328828,77487426,77577531,77677899,77760890,78038763,78135086,78195150,78251438,78340380,78401490,78535448,78725684,79187592,79216899,79292126,79296215,79353908,79928792,80104011,80174159,80426290,80475666,80475939,80548238,80711108,81007830,81187170,81266499,81275565,81484370,81697725,81704140,82004483,82021434,82110363,82121726,82477748,82660732,82708568,82787438,82897886,83243571,83408160,83439170,83495031,83512628,83563072,83628256,83734248,83971923,83994446,84037788,84175971,84320606,84560805,84952491,84956084,85014834,85057755,85076606,85331004,85713786,85880708,86034179,86152506,86287866,86326971,86408352,86599648,86609543,86693936,86860952,87003490,87093038,87144240,87151506,87293139,87510926,87719006,87770715,88236686,88352379,88968704,88991266,89086041,89241963,89553284,89617688,89622215,89919891,89958788,90171038,90198192,90324520,90728272,90770975,91006071,91071284,91401299,91456715,91672683,92248526,92308290,92406743,92557239,92785007,92953856,93047139,93313068,93622096,93834180,94008456,94081788,94147522,94185668,94201029,94485428,94638926,94706255,94917340,94948655,95155458,95389179,95563787,95960683,96029966,96511548,96756625,97209396,97424604,97530678,97610855,97718571,97781244,98037270,98044968,98060084,98099966,98195015,98462176,98714846,99063038,99328943,99331804,99467979,99477411,99495038,99923438,99966575,...,870076387657598548166336388276284484143142474572243700393193367741456955038284691117446080113563130150580895651352748469570846193982475971673136171777659318441759876451324397518011756345563521082654298756269275370710639225630323554066369541439236671106473342751443055519401506664797820758517432650215270122716723082522762546736087758146019584321512923044360341596167234356035512480195122370016615477703373999605907831746851727036575590105182942190019940569895183659169911427287471119302373239323916272359501161830149100836423943214298865817446174901822967998858502305731514087983348509833054580775993457673237847164845021105017481406215144415696833084911266469146439302316497437091157080608724435853761538878071205538969829996166805915817875410338986973304698191979184476944913575244083342794835491992292452885483661501595784521850480839509714462819876431317618202795040586675131056526290941869344582110649273684328922528276540447273240742003624695532663754987613502725279968026096367408313639133031479628792803269469320468729880149321609914243518609952876591314589376732448255455590690344250295418454560116448033212674234535634928957550349767798902049901269054804952875419255506771261979441669826022180600587940382818135230334186538753875438644499471693987618324965661192608797325066132063756645198613121294310356520407636878852600326351088719643338950941832562831358075246220031109380742613738467400851751787269909595998597503487632433123880773050560783089343158711121344314520843330000157165882662920633678867861038968320397122251889716822841419609900759345630034258442802240982664372301655323082874745025058708345845552583314700224929608020265471784472829921840080589058401549494598865441371154324107431908666435421572124719052578720578865550179516752657057631837320587945626666271916413601688432609657540562890245628611181659268619573274738222063790060797632704068862457511430628184402557460735564364906927693269333511419328436906314663944057083462410355223305127383754090506084529755413521928284172227979152568027034237541478992167267814744932423875761142284514984189398753818820679986763580826991634150721750642291841739184374467214912419586259433793435299682604607966134964344191331121599470837535675891373583510007929936545789939282153626491688409845976887639258203644779662197963470232774022491468337427368882326051619789712865829474020857537106477668089245151436421835329999645748257076497337279949660468978904719934919392648132294424137010671003334094476392908860156063608755918389558260719680554362759076}
15827 10458157733669810338925034562554242957259553183218397560393686372: {63292,332157,395425,474510,506144,569412,1027585,1217293,1233102,1501285,1738990,1752357,1801542,1880557,2086788,2259829,2447605,2543317,2686510,2937126,3098564,3205573,3223812,3301573,3491137,3633310,3824326,4359972,4426520,4576557,4579390,4721509,4807105,4979835,5036053,5100493,5189317,5311824,5495268,5748385,5752292,5768526,5849557,5908078,5928375,5975802,6172717,6323600,6509293,6531685,6851558,6898062,7001185,7114050,7379157,7413310,7460629,7588320,7658229,7827253,7838022,7990246,8094208,8217560,8356510,8401422,8404004,8407009,8494149,8536860,8895972,9105984,9127198,9143197,9244755,9298990,9633637,9734648,9787940,9800413,9861072,9921217,10027812,10244232,10437069,10678772,10859329,10899685,10951479,11093706,11158788,11181790,11246149,11266509,11398214,11524761,11525677,11607013,11745528,11831605,12005720,12282493,12819044,13037475,13061710,13079622,13194309,13213719,13417717,13418148,13506435,13536385,13675453,13906640,14000485,14000590,14074573,14155105,14174533,14197926,14227246,14364229,14406864,14564829,15038744,15039997,15081985,15384549,15396733,15587629,15601508,15644970,15674052,16207722,16243662,16261287,16303078,16331713,16344853,16687968,16800582,16800708,16911553,16918587,16973749,16986126,17289669,17407334,17654629,18071768,18098382,18312920,18373557,18377326,18621685,18773964,18775105,18881252,18948517,18990692,18996973,19358675,19529617,19598173,19992909,20141175,20330739,20338808,20396804,20460085,20602035,20895973,21041182,21071605,21126733,21229213,21336429,21483920,21485710,21835105,21975504,21979198,22190797,22346022,22530126,22881159,22946293,23230410,23349790,23628253,23891233,24119605,24169410,24250717,24552102,24722442,24779104,24867620,25069557,25186078,25285926,25678213,25691989,25780704,25782852,26067013,26202126,26402552,26412349,26520094,26708149,26929429,27000385,27069310,27129560,27239475,27354733,27655250,27710157,27838753,27876492,27918488,27997390,28019748,28671555,28724806,28747213,28760349,28782973,28943526,29003292,29055440,29264485,29282533,29545124,29565685,29702871,29725246,29768629,29841144,29851390,29872622,30188067,30329053,30347252,30511334,30520755,30565333,30582992,30860257,31408299,31519585,31592494,31804477,31845877,31952888,32315582,32381893,32400462,32419105,32483172,32555472,32687370,33120038,33167605,33185109,33186300,33571287,33596868,33765685,33846373,33859597,33959469,33969637,34187809,34340773,34405866,34422878,34512385,34754197,34810244,34866528,34917133,35117382,35176609,35255012,35398720,35407105,35478822,35556085,35821668,35850949,35938175,35946999,36214808,36499544,36526629,36563492,36624906,37030573,37161188,37238590,37583917,37637605,37823502,37989118,38043613,38218957,38396062,38527285,38853493,38902926,38971585,39078190,39175957,39191684,39224844,39325557,39507500,39669313,39801126,39823560,39939229,40006885,40071494,40518822,40741659,40791613,41061987,41414862,41498744,41832190,41847357,42207320,42478464,42488526,42572915,42667302,42931774,42954085,43125810,43357837,43514534,43587620,43643342,43985293,44104263,44293755,44336804,44347557,44410477,44686308,44801505,45165126,45171133,45198406,45494110,46000864,46103078,46232742,46686087,46765902,46778648,46893828,47194849,47212454,47246672,47314340,47409000,47483235,47684077,47788272,48008262,48057357,48090433,48302949,48501975,49175540,49366717,49563493,49628893,49728920,49955828,50107105,50198628,50553668,50569600,50648784,50714893,50976385,51087498,51340250,51356888,51377446,51475989,51506948,51544902,51699685,51735440,51750972,52233560,52277605,52305144,52505075,52625979,52685773,52999105,53152506,53154229,53168869,53335125,53375847,53691310,53761806,53852014,53891949,54592932,54598510,54687908,54937549,55504990,55578675,55731685,55795453,55945035,55988120,56042259,56286309,56501317,56777208,56890800,56979882,57307105,57475389,57487078,57716293,57776499,57878785,58108388,58202370,58202822,58490835,58638109,58762755,58843287,59010648,59283920,59377813,59502206,59510437,59518933,59529646,59662328,59674704,59737652,60128526,60134797,60144644,60267998,60585284,60650398,60656833,60683520,60727585,60818450,61171662,61477869,61485086,61608300,62039622,62082528,62088997,62163620,62221153,62390224,62592397,62649975,62680272,62733126,62853685,62986635,63006090,63053463,63207277,63362629,63542675,63598926,63786193,63803109,63842785,63863137,63874359,64002150,64429572,64530190,64622948,64729088,65329958,65362724,65518212,65647749,65715520,65769515,65861540,65955685,66012133,66106749,66229309,66320462,66386979,66390253,66498968,66605988,66666278,66694410,66716975,66826640,66878022,67120119,67134042,67185744,67200853,67206496,67230488,67619329,67877732,68111269,68120110,68268960,68366926,68518213,68718517,68768526,68783773,69289143,69295557,69454542,69499558,69527384,69771637,69842844,69937693,70189002,70515306,70698829,70715317,70804990,70850785,70950529,70991678,71068993,71140704,71213473,71498797,71706884,72101605,72273493,72369997,72820224,72873102,72982140,72995518,73117688,73174724,73267467,73269229,73487605,73555509,73929960,73999389,74255533,74428213,74596344,74700397,74731585,74811339,74912629,75007250,75179970,75265390,75424422,75583962,75607308,75634299,75666854,75774692,75857194,75935533,76003333,76145389,76251210,76611342,76797685,76802580,77039768,77209693,77436228,77621605,77847616,77955429,78098612,78218307,78376142,78415477,78444085,78847813,78854785,78858624,78923418,79033848,79033955,79146822,79339544,79387238,79403029,79707790,79868206,79914949,80033292,80060370,80132804,80191968,80282533,80347969,80357605,80911333,81078229,81198669,81284989,81334624,81583585,81744132,81919334,81922752,82117453,82257399,82330429,82459537,82487075,82534885,82695549,82753094,82898653,83171205,83207437,83491777,83546157,83920887,83973668,84485444,84540632,84566785,84726829,84895268,84965988,85014910,85020942,85397728,85547989,85587086,85703893,85789347,85920920,86097140,86154404,86190949,86228833,86241524,86447173,86521926,86669739,86883500,86914029,87223175,87261985,87275588,87539349,87578568,87747357,87799105,87900433,87955149,88044099,88185126,88327268,88644817,88715952,88809598,88847557,88913079,89128513,89172253,89256987,89417710,89673985,89677902,89685133,89807605,89934968,89978086,90008700,90215964,90296110,90318468,90355237,90775250,91501452,91571773,91674085,91730113,91873573,92128813,92157222,92163096,92170328,92176477,92781182,92877357,93002485,93145926,93359653,93361934,93375320,93446173,93491893,93624839,93665185,93685629,93793729,93956450,94007509,94132902,94297453,94433446,94591285,94625742,94840746,94891557,94950589,95108211,95118094,95237540,95647285,95649348,96009280,96072444,96089709,96348877,96350893,96429126,96635864,96661035,96836173,96892742,96978212,97900302,97925475,98007973,98169310,98222552,98279678,98337272,98407105,98525889,98867893,98922517,98984490,98999773,99041862,99177757,99192385,99663207,99805446,99910990,...,1305114581486397822249504582414426726214713711858365550589790051612185432557427036676169120170344695225871343477029122704356269290973713957509704257666488977662639814676986596277017634518345281623981448134403913056065958838445485331099554312158855006659710014127164583279102259997196731137776148975322905184075084623784143820104131637219029376482269384566540512394250851534053268720292683555024923216555060999408861747620277590554863385157774413285029910854842775488754867140931206678953559858985874408539251742745223651254635914821448298726169262352734451998287753458597271131975022764749581871163990186509856770747267531657526222109322716623545249627366899703719658953474746155636735620913086653780642308317106808308454744994250208873726813115508480459957047287968776715417370362866125014192253237988438679328225492252393676782775721259264571694229814646976427304192560880012696584789436412804016873165973910526493383792414810670909861113005437043298995632481420254087919952039144551112470458699547219443189204904203980703094820223982414871365277914929314886971884065098672383183386035516375443127681840174672049819011351803452393436325524651698353074851903582207429313128883260156892969162504739033270900881910574227202845501279808130813157966749207540981427487448491788913195987599198095634967797919681941465534780611455318278900489526633079465008426412748844247037112869330046664071113920607701101277627680904864393997896255231448649685821159575841174634014738066682016471781264995000235748823994380950518301791558452480595683377834575234262129414851139018445051387664203361473996558452482984624312117537588062518768328874972050337394412030398207676709244882760120883587602324241898298162056731486161147862999653132358187078578868080868298325269275128985586447755980881918439999407874620402532648914486310844335368442916772488902929359912107333095685091196449056103293686267145942276603836191103346547360391539904000267128992655359471995916085625193615532834957691075631135759126794633120282892426258341968728852040551356312218488250901722117398635813641713426772476284098130728231019980145371240487451226082625963437762608776561700822368629379389150690152949523906911949202446516286996682399206256303513837060375265011894904818684908923230439737532614768965331458887305467169493296945205349161033737202506141053323489077429684569298744211031286305659716502133867727154632752994999468622385614746005919924490703468357079902379088972198441636205516006505001141714589363290234095413133877584337391079520831544138614}
15828 10504171356392635775553168311101632249937411855738784701409011232: {79115,94938,173987,300371,442876,489707,537506,584267,632680,647267,711765,726938,759216,854118,916226,961787,1055987,1244171,1400771,1525907,1588427,1644136,1671938,1849653,1860506,2336171,2336476,2402056,2460347,2608485,2615387,2702313,2782384,2801171,2801186,2832107,3110171,3130182,3541427,3873205,3916168,4029765,4185371,4298416,4307627,4405689,4647846,4835718,4916987,5129507,5449965,5533150,5601626,5674187,5736489,5813296,6005771,6102076,6157826,6186227,6539958,6639780,6869085,7082432,7173587,7190365,7327024,7352171,7649171,7691368,7797371,7904500,7967736,7974947,8002466,8242902,8270267,8505947,8517817,8628438,8652789,8682371,8862117,8946467,8963703,9151427,9197416,9485400,9734867,9838876,10117760,10210972,10271950,10277337,10347093,10450696,10459667,10505005,10671075,10923938,10978427,11105306,11119965,11201896,11322827,11325532,11382480,11757033,11829338,11861296,11979707,11985369,12141312,12168310,12178787,12234925,12326340,12534765,12602133,12606006,12805290,12858371,13112027,13148096,13158901,13168307,13343958,13348465,13370416,13629338,13658976,13690797,13808546,13916092,13948485,13952867,14008667,14345306,14509427,14601972,14681910,14786507,14791608,14878384,15007150,15022012,15041718,15255707,15366348,15503171,15660704,15667787,15777371,15812797,16018158,16023467,16023805,16078067,16159907,16595171,16640559,16738182,16772685,17009666,17097321,17163347,17186138,17383300,17439496,17567027,17592412,17618292,17796457,17890864,18008580,18049067,18066338,18241946,18581627,18608171,18767267,18798430,18930568,19209152,19228566,19419772,19501885,19592565,19619433,19768187,19815938,19951307,20127222,20316371,20511746,20512732,20550227,20705771,20859960,20898736,20964371,21000885,21247907,21296889,21325067,21340869,21610296,21658216,21681716,21723866,22250624,22400776,22400944,22413338,22499171,22558116,22589710,22648168,22853147,22891150,23029547,23052892,23102233,23271938,23402262,23467455,23511078,23601565,23631371,23738365,24131176,24278147,24297506,24311583,24365493,24428677,24454617,24498076,24525467,24599507,24968627,25031952,25200873,25201062,25423510,25479189,25496005,25628507,25656866,25992587,26111001,26501786,26547347,26657212,26760118,26854900,27050171,27074027,27107652,27147573,27469380,27502067,27565989,27620507,27644171,27678626,27958777,27998171,28115771,28160946,28180826,28321878,28448572,28467371,28486038,28817171,29181338,29188307,29257667,29300672,29303867,29355469,29741171,29794696,30011138,30040168,30403067,30508212,30561827,30595206,30973880,31084525,31561773,31573067,31684427,31687957,31906547,31937101,31973027,32225880,32228565,32348387,32414387,32478938,32642306,32736136,32743307,32963256,32968797,33003190,33426076,33519033,33654707,33714568,33795189,33911950,34169171,34374272,34377136,34488371,34752986,34845615,34898110,34914338,34936168,34995347,35024685,35205227,35518547,35643371,35747171,36254115,36294313,36311401,36319300,36386267,36672371,36828153,36931405,36946876,37083663,37098587,37158146,37168656,37301430,37317338,37359664,37360667,37476386,37581371,37661387,37779117,37880771,37928889,37934065,37952666,38228740,38347132,38378197,38474171,38591368,38670371,38671056,38674278,38846267,39303189,39350771,39603828,39780141,39788192,39941110,40116371,40230107,40250756,40286867,40324667,40494371,40569587,40603965,40694340,40887827,40931317,40962371,41340838,41351627,41405786,41482875,41627507,41814738,41877732,41992547,41996085,42029622,42173867,42318347,42695171,42952346,43087209,43139171,43200616,43310896,43385627,43407296,43415289,43490771,43504938,43512805,43560707,43566938,43583160,43665371,44068765,44167187,44246812,44248400,44287307,44317686,44587869,44628347,44761716,44777085,44795824,44808933,44937277,44949371,45033371,45093338,45100427,45268510,45279292,45520878,45533171,45624430,45704365,45767001,45874488,45878747,46002266,46090907,46430771,46451485,46488704,46671371,46767107,46823176,47206106,47225771,47305096,47319827,47366747,47388741,47475947,47522627,47693171,47708627,47762224,47929332,48168587,48290027,48305171,48380771,48473373,48600693,48702172,48724758,48833208,48919187,48989605,49031055,49066907,49140467,49384375,49678486,49680057,49779450,49836467,49850771,49979147,50219867,50395302,50431336,51023747,51091787,51308171,51428987,51608799,51634317,51870568,51873430,51984227,52023347,52166171,52204537,52215366,52299792,52434076,52676073,52677371,52759150,52882518,52940627,53068168,53098080,53218233,53231138,53371547,53480771,53661371,53732502,53768867,53946587,53958371,54025096,54092546,54322212,54365771,54484525,54591446,54707171,54749316,54819371,54845238,54937359,55107347,55205771,55219816,55233026,55249307,55411427,55421005,55432907,55592987,55741782,55782707,55796476,55857885,55941146,56062427,56306171,56495867,56637952,56651368,56663147,56735253,56786138,56837747,56889736,56926466,56933627,56983677,57075947,57132371,57188507,57492107,57501080,57510227,57546371,57591371,57594093,57680771,57804587,57892067,57944171,58124267,58186597,58250747,58321826,58354389,58416587,58473310,58490171,58563107,58617285,58683227,58787526,58805684,58826677,58837266,59009987,59058340,59108267,59130076,59142925,59145707,59261250,59264171,59300771,59452307,59523227,59581744,59683307,59690171,59701689,59735340,59951627,60080987,60107241,60114266,60144467,60219587,60220168,60238187,60251138,60305771,60330107,60491027,60606467,60762707,60773627,60778233,60827747,60836461,60923147,60954371,61135667,61160027,61203371,61246067,61301987,61343171,61449827,61454171,61469425,61514147,61601171,61611938,61643656,61723187,61734587,61779467,61790507,61983371,62002547,62015171,62049227,62061371,62102867,62122293,62148371,62161150,62162171,62186507,62248116,62262947,62354536,62417027,62424371,62444785,62459171,62473787,62489267,62492267,62505371,62525104,62527067,62537147,62561171,62577107,62592587,62596427,62601467,62607371,62615771,62621987,62630027,62630171,62631227,62748285,63092186,63192085,63212000,63310980,63492866,63717696,63732789,63977977,64000953,64011016,64076476,64196110,64383685,64397661,64403932,64669300,64688715,64947718,65271801,65291950,65381430,65465013,65738906,66505206,66931504,67029462,67409797,67531712,67747689,67797609,68116664,68241165,68359885,68634652,68726536,68966306,69001296,69154617,69349113,69368078,69422101,69740192,69921709,69985150,70106138,70148853,70167972,70340742,70818681,70859546,70870008,70971510,71113500,71167796,71682408,71855932,72012393,72474146,72635485,72720386,72790576,73333466,73763310,73821338,73973053,74104900,74577910,74593380,74672065,74723012,74933742,75030938,75048412,75151106,75180805,75297942,75510746,75702944,75731605,75830502,75854400,75973176,76631247,76633852,77010375,77035332,77066169,77260422,77303473,77317353,77603160,77626458,77704525,77987780,78350340,78457716,78573338,78680864,78693097,79566272,79610786,79728759,80171368,80182106,80536965,80642709,80649037,80778021,80778685,80911360,81562216,81703405,81874466,81889398,81897765,81970492,82031862,82144400,82326925,82653146,82719496,82776704,83094938,83123710,83205026,83257485,83423197,83533300,83534426,83573696,83644168,83982180,84008120,84038110,84071284,84297986,84556381,84731138,84798568,84847165,85070812,85165812,85336200,85376546,85469823,85906096,85944733,86045113,86230617,86909230,87162582,87281666,87303555,87304233,87357616,87530332,88142332,88422938,88457677,88515972,88807984,88925880,89170696,89253309,89294469,89343746,89493492,89512056,89580992,89606413,89606478,89633605,90051866,90192789,90216966,90401997,90877926,90975597,91025280,91227675,91397110,91468405,91691368,91757493,92227629,92385524,92394076,92412450,92606056,93059433,93123792,93245430,93295106,93390938,93486626,93585336,93888277,94020408,94099689,94509135,94718365,94811138,94854272,94904666,95370146,95398389,95691673,96003225,96299710,96563546,96644358,96795285,96798901,96914389,96934422,97093632,97164136,97309520,97623265,97689956,97994937,98044086,98074012,98087426,98277318,98573280,98665852,98792310,99174430,99183973,99461792,99480693,99552838,99655586,99748452,99908982,99999417,...,1957671872229596733374256873621640089322070567787548325884685077418278148836140555014253680255517042838807015215543684056534403936460570936264556386499733466493959722015479894415526451777517922435972172201605869584098938257668227996649331468238282509989565021190746874918653389995795096706664223462984357776112626935676215730156197455828544064723404076849810768591376277301079903080439025332537384824832591499113292621430416385832295077736661619927544866282264163233132300711396810018430339788478811612808877614117835476881953872232172448089253893529101677997431630187895906697962534147124372806745985279764785156120901297486289333163984074935317874441050349555579488430212119233455103431369629980670963462475660212462682117491375313310590219673262720689935570931953165073126055544299187521288379856982658018992338238378590515174163581888896857541344721970464640956288841320019044877184154619206025309748960865789740075688622216006364791669508155564948493448722130381131879928058716826668705688049320829164783807356305971054642230335973622307047916872393972330457826097648008574775079053274563164691522760262008074728517027705178590154488286977547529612277855373311143969693324890235339453743757108549906351322865861340804268251919712196219736950123811311472141231172737683369793981398797143452451696879522912198302170917182977418350734289949619197512639619123266370555669303995069996106670880911551651916441521357296590996844382847172974528731739363761761951022107100023024707671897492500353623235991571425777452687337678720893525066751862851393194122276708527667577081496305042210994837678724476936468176306382093778152493312458075506091618045597311515063867324140181325381403486362847447243085097229241721794499479698537280617868302121302447487903912693478379671633971322877659999111811930603798973371729466266503052664375158733354394039868160999643527636794673584154940529400718913414905754286655019821040587309856000400693488983039207993874128437790423299252436536613446703638690191949680424338639387512953093278060827034468327732376352583176097953720462570140158714426147196092346529970218056860731176839123938945156643913164842551233552944069083726035229424285860367923803669774430495023598809384455270755590562897517842357228027363384845659606298922153447997188330958200754239945417808023741550605803759211579985233616144526853948116316546929458489574753200801590731949129492499202933578422119008879886736055202535619853568633458297662454308274009757501712571884044935351143119700816376506086619281247316207921}
15829 10550385842645390790069821292013297377362040300685436998487200109: {126584,142407,553595,664314,790850,806259,949020,1012288,1090407,1138824,1281177,1374339,1438619,2055170,2101799,2434586,2466204,2507907,2670707,2790759,2920595,3002570,3426647,3477980,3504714,3603084,3761114,3901859,4173576,4201779,4519658,4695273,4895210,5086634,5373020,5383367,5700551,5874252,5951699,6197128,6411146,6447624,6603146,6729947,6898919,6971769,6982274,7253577,7266620,7627595,7648652,8047739,8299725,8402439,8719944,8817107,8853040,9144359,9153114,9158780,9236739,9443018,9614210,9801659,9809937,9880625,9959670,10072106,10200986,10378634,10623648,10990536,11088419,11496770,11504584,11537052,11699114,11816156,11856750,11951604,12003699,12298595,12345434,12364353,12647200,12763715,12881639,12942657,13018586,13063370,13677191,13703116,13717379,13796124,14002370,14156915,14228100,14758314,14826620,14921258,15152087,15176640,15259559,15316458,15407925,15654506,15676044,15980492,16161899,16188416,16385907,16435120,16564247,16657959,16713020,16802844,16808008,16814018,16975907,16988298,17073720,17395115,17744007,17791944,18077867,18196139,18211968,18252465,18253091,18254396,18286394,18489510,18597980,18777515,18909009,18950939,19207935,19267274,19469296,19532099,19575880,19600679,19600826,19722144,19817147,19842434,20015937,20055624,20444007,20488464,20712819,20874138,21114779,21129419,21231911,21357544,21517959,21718658,21729125,21799370,21827219,21902958,21990515,22022865,22187412,22317576,22363580,22492298,22510725,22533018,22562577,22796428,23049522,23051354,23214026,23491056,23612231,23663210,23973191,24011440,24027237,24253799,24274715,24564986,24801479,25056659,25107273,25514499,25638088,25640915,25779207,26022887,26070359,26074950,26123420,26159244,26285147,26388618,26415707,26427438,26835434,26836296,27012870,27046547,27072770,27099507,27102145,27350906,27362919,27813280,27842291,27924299,28000970,28001180,28149146,28197645,28310210,28349066,28395852,28454492,28575959,28644119,28728458,28786631,28813728,28816115,28842849,29129658,29500247,29723907,29758667,30077488,30079994,30163970,30190833,30346979,30569147,30569219,30622595,30767619,30769098,30793466,30864179,31175258,31203016,31289940,31348104,31808519,32415444,32487324,32522574,32585799,32606156,32663426,32673287,32689706,33294059,33321515,33375936,33568625,33601164,33601416,33620007,33767447,33823106,33837174,33884565,33947498,33972252,33973979,34189991,34336725,34345139,34579338,34615127,34814668,34907907,35103393,35181107,35266617,35309258,35504867,35560715,35855507,36143536,36196764,36223847,36446259,36625840,36747114,36754652,37243370,37547928,37550210,37762504,37800539,37801593,37843079,37897034,37981384,37993946,38135265,38485299,38717350,39025031,39059234,39196346,39333227,39752679,39899399,39985818,40000259,40140177,40201787,40282350,40661478,40677616,40793608,40920170,40970279,41204070,41387111,41391959,41517939,41782595,41791946,42082364,42143210,42241419,42253466,42271239,42458426,42482817,42672858,42729057,42967840,42971420,43363379,43670210,43772007,43951008,43958396,44127419,44336291,44381594,44692044,45016707,45060252,45386747,45399125,45762318,45798359,45892586,45892809,46183595,46434647,46460820,46699580,47200907,47256506,47271959,47353427,47782466,47785925,47933915,48239210,48317339,48338820,48458759,48501434,48718407,48963459,49104204,49444884,49504785,49558208,49569947,49635239,49735240,49778519,50087399,50139114,50313445,50372156,50571852,50867925,51245939,51356426,51383978,51561408,51565704,51982619,52129479,52134026,52347165,52371507,52380647,52404252,52692647,52805104,52824698,53040188,53416298,53748131,53858858,53938199,54000770,54138620,54259120,54478950,54560219,54709466,55308515,55310500,55420314,55677506,55737219,55752984,55836976,55952145,55960787,55976007,55994780,56009639,56039496,56214579,56508539,56599115,56681351,56928999,57343110,57449612,57494426,57520698,57565946,57887052,58006584,58011417,58110880,58528970,58565066,58645607,59090248,59131370,59405742,59450492,59537258,59602081,59682288,59702780,59745244,59911665,60135719,60376134,60658106,60664619,60694504,60877715,61022668,61041510,61130666,61165984,61696727,61720514,62011257,62108679,62375687,62722107,62816598,63039170,63044433,63129491,63184988,63249539,63608954,63623687,63691754,63905776,64365191,64428519,64631164,64763786,64800924,64838210,64966344,65110944,65257407,65350407,65374740,65542595,65553899,66240076,66335210,66370218,66372600,66476529,66512267,67142574,67193736,67209479,67531370,67640007,67692746,67719194,67792931,67902765,67918938,67939274,68281317,68375618,68436645,68526971,68681546,68811732,68845756,69003399,69024770,69460007,69508394,69620488,69733056,69745595,69834266,70069451,70149947,70173779,70234764,70353218,70510024,70797440,70809159,70814210,70957644,71112170,71222579,71290451,71366939,71433239,71597387,71643336,71701898,71876350,71893998,72139079,72282731,72379559,72429616,72999088,73053258,73087137,73126984,73188647,73243607,73249812,73507105,73822925,73912595,74061146,74198747,74200871,74322376,74477180,74517729,74669175,74883107,75167834,75275210,75592953,75647004,75902039,75908867,75978236,76087226,76124747,76437914,76792124,77054570,77219747,77706986,77805852,77810145,77943170,78014339,78024359,78156380,78323049,78351914,78383368,78449688,78651114,79015000,79138725,79323777,79338626,79430051,79602252,79647120,79846707,79878458,79925207,80013770,80095595,80142988,80229947,80504915,80598753,80605739,80836625,81030299,81037644,81138819,81483318,81546827,81583226,81887169,81984131,82123974,82128167,82267857,82829724,82849539,82997488,83010119,83488679,83574707,83612673,83664380,83694714,83911719,84085991,84414640,84956928,84977052,85018619,85121291,85145830,85179207,85334604,85389699,85793315,85863548,85908170,86239859,86251620,86590907,86669831,86715674,87029068,87175240,87190919,87286684,87352379,87386267,87482739,87709965,87756539,87943511,87970586,87995159,88181289,88208526,88255899,88533107,88587510,88673608,88695114,88820954,88891875,88959745,89183651,89372616,89379899,89603010,89819915,90033371,90171399,90330252,90342266,90376707,90396812,90508259,90913427,90988220,91247819,91885607,92001728,92077321,92160659,92188259,92206156,92337959,92409047,92417907,92465484,92631125,92725307,93183779,93241725,93314339,93372174,93403765,93522119,93531804,93557296,93787656,93810515,94258499,94389698,94424908,94493344,94628680,94638279,94818000,94966470,95208359,95239299,95275307,95368154,95576544,95792315,96016524,96114714,96180866,96294165,96524387,96605898,96734627,97003950,97047899,97421577,97484725,97802711,97898699,97937925,98072145,98351080,98608359,98733434,99073619,99126986,99191099,99257786,99457840,99757809,99911656,99977219,...,2610229162972795644499009164828853452429427423716731101179580103224370865114854073352338240340689390451742686954058245408712538581947427915019408515332977955325279629353973192554035269036690563247962896268807826112131917676890970662199108624317710013319420028254329166558204519994393462275552297950645810368150169247568287640208263274438058752964538769133081024788501703068106537440585367110049846433110121998817723495240555181109726770315548826570059821709685550977509734281862413357907119717971748817078503485490447302509271829642896597452338524705468903996575506917194542263950045529499163742327980373019713541494535063315052444218645433247090499254733799407439317906949492311273471241826173307561284616634213616616909489988500417747453626231016960919914094575937553430834740725732250028384506475976877358656450984504787353565551442518529143388459629293952854608385121760025393169578872825608033746331947821052986767584829621341819722226010874086597991264962840508175839904078289102224940917399094438886378409808407961406189640447964829742730555829858629773943768130197344766366772071032750886255363680349344099638022703606904786872651049303396706149703807164414858626257766520313785938325009478066541801763821148454405691002559616261626315933498415081962854974896983577826391975198396191269935595839363882931069561222910636557800979053266158930016852825497688494074225738660093328142227841215402202555255361809728787995792510462897299371642319151682349268029476133364032943562529990000471497647988761901036603583116904961191366755669150468524258829702278036890102775328406722947993116904965969248624235075176125037536657749944100674788824060796415353418489765520241767175204648483796596324113462972322295725999306264716374157157736161736596650538550257971172895511961763836879998815749240805065297828972621688670736885833544977805858719824214666191370182392898112206587372534291884553207672382206693094720783079808000534257985310718943991832171250387231065669915382151262271518253589266240565784852516683937457704081102712624436976501803444234797271627283426853544952568196261456462039960290742480974902452165251926875525217553123401644737258758778301380305899047813823898404893032573993364798412512607027674120750530023789809637369817846460879475065229537930662917774610934338986593890410698322067474405012282106646978154859369138597488422062572611319433004267735454309265505989998937244771229492011839848981406936714159804758177944396883272411032013010002283429178726580468190826267755168674782159041663088277228}
15830 10596802062380420248009530860605602945349304824942777213923106883: {110761,158230,189876,205621,347974,600742,678841,885752,979414,996471,1075012,1168534,1186275,1265360,1294534,1423530,1453876,1518432,1526101,1619881,1708236,1832452,1923574,2111974,2367529,2488342,2553721,2801542,2832469,3051814,3082755,3176854,3288272,3295609,3343876,3480361,3572629,3651879,3699306,3721012,4216489,4347475,4503855,4672342,4672952,4804112,4920694,5216970,5221141,5230774,5257071,5404626,5422487,5564768,5602342,5602372,5641671,5664214,5855929,6220342,6260364,6716275,6756649,6779487,7025461,7082854,7342815,7629951,7650169,7746410,7832336,8005561,8059530,8271349,8370742,8596832,8615254,8712889,8811378,9083275,9295692,9328021,9560815,9590569,9616719,9671436,9765241,9833974,9904719,10066511,10259014,10461049,10473411,10720789,10899930,11066300,11152249,11203252,11348374,11410261,11448475,11472978,11581909,11626592,12011542,12204152,12315652,12372454,13079916,13198201,13279560,13535161,13729671,13738170,14164527,14164864,14347174,14380730,14421315,14654048,14704342,14707007,14770195,14939505,14954389,15108159,15285301,15298342,15301479,15382736,15532729,15567951,15594742,15697321,15809000,15935472,15949894,16004932,16107541,16434421,16485804,16540534,17011894,17035634,17128895,17245155,17256876,17305578,17364742,17548671,17569429,17724234,17785125,17892934,17927406,18051541,18302854,18394832,18518151,18533275,18610729,18687851,18849301,18970800,19245481,19469734,19527879,19595055,19677752,19954069,19975615,20188969,20235520,20421944,20501161,20543900,20554674,20579029,20694186,20891275,20901392,20919334,21003555,21010010,21025807,21276601,21342150,21353749,21847876,21956854,22121269,22137471,22210612,22239930,22381887,22403792,22433327,22502329,22645654,22651064,22764960,22817995,22881589,22974687,23247475,23481759,23484661,23514066,23658676,23722592,23959414,23970738,24282624,24306361,24336620,24357574,24469850,24603001,24652680,24750889,25069530,25204266,25212012,25221027,25266229,25482447,25610580,25632169,25716742,26068921,26224054,26296192,26317802,26336614,26687916,26696930,26740832,27077929,27258676,27302639,27317952,27381594,27429591,27617092,27648169,27734265,27832184,27896970,27905734,27954475,28017334,28495535,28690612,28900911,29018854,29203944,29261941,29331241,29363820,29401239,29538709,29573014,29583216,29756768,29763651,30014300,30020281,30044024,30083436,30430249,30511414,30732696,31006342,31040341,31311207,31321408,31335574,31554742,31625594,32036316,32046934,32047610,32110549,32156134,32319814,32482087,32577987,32654275,32699055,32854437,33042191,33190342,33233711,33281118,33357481,33476364,33545370,33551989,33738447,33745849,33799527,34019332,34194642,34326694,34372276,34574283,34577031,34692827,34766600,34821039,34878992,34895401,35001475,35021689,35134054,35147689,35184824,35236584,35273401,35494815,35568115,35592914,35694407,35773369,35781728,36017160,36098134,36132676,36145321,36453301,36483892,36847479,37003129,37063861,37163254,37216342,37534534,37596860,37861136,38418304,38457132,38499829,38839544,38969269,39003770,39112425,39144121,39185130,39238866,39536374,39549589,39582927,39631876,39641157,39902614,40253151,40254444,40519305,40576021,40609155,40632742,40688629,40757695,40912981,41023492,41025464,41026359,41100454,41411542,41468821,41524009,41719920,41744041,41797472,41928742,42001455,42001770,42017461,42223719,42465315,42495814,42523599,42593778,42650134,42681738,42773461,42893279,43092687,43220592,43316432,43363432,43410229,43447732,43515349,43518335,43694487,44501248,44652661,44801552,44801888,44826676,44998342,45116232,45119991,45158101,45179420,45245955,45296336,45356051,45656341,45706294,45782300,45902761,45943315,46059094,46105784,46153647,46190199,46204466,46341781,46438549,46543876,46583161,46762887,46804524,46870441,46934910,47022156,47060521,47203130,47262742,47343481,47476730,47716729,48085369,48176809,48262352,48313429,48494581,48556294,48595012,48623166,48730986,48783861,48857354,48909234,48995139,48996152,49034559,49050934,49163641,49199014,49773481,49859449,49937254,50030521,50063904,50401746,50402124,50620201,50734659,50755761,50847020,50921247,50958378,50992010,51073621,51114409,51257014,51313732,51598249,51703967,51869007,51985174,52032661,52222002,52602955,52686889,52837801,52963887,53003572,53094694,53107691,53314424,53520236,53709800,53714275,53968309,54100342,54109141,54144169,54148054,54215304,54295146,54490489,54592981,54728629,54762361,54829609,54938760,54947995,55004134,55095721,55120671,55131978,55161529,55241014,55288342,55357252,55454101,55865055,55917554,55996342,56231542,56321892,56325315,56361652,56476969,56643756,56845551,56897144,56934742,56944681,56972076,56990919,57087061,57115321,57530581,57634342,57692149,57903541,58076025,58135849,58262389,58362676,58374475,58376614,58411861,58510069,58515334,58588851,58601344,58607734,58679161,58710938,58794519,59142841,59320249,59471701,59482342,59535529,59589392,59702569,59743609,59764021,59804629,59978727,60022276,60080336,60250921,60342901,60423525,60433081,60590869,60775801,60792181,60806134,60917927,60992217,61016424,61104661,61119529,61123654,61178281,61190412,61320121,61361269,61380255,61454761,61467829,61631161,61696271,61748521,61793449,61806105,61858681,61931509,61947760,62145961,62169050,62279989,62349109,62393209,62455381,62504341,62521909,62560789,62571049,62586709,62616949,62644921,62645929,62687919,62965195,63123546,63146134,63214815,63368854,63375914,63380199,63687639,63813094,63874202,63946054,63986111,64009287,64451760,64457130,64696774,64828774,64957876,65032079,65284612,65472272,65486614,65505315,65926512,65937594,66006380,66300235,66572391,66852152,67038066,67309414,67429136,67590378,67673275,67823900,68338342,68585447,68643477,68748544,68754272,68838879,68976742,69138125,69505972,69691230,69796220,69828676,69872336,69990694,69993475,70049370,70410454,70884759,71037094,71286742,71494342,71673699,71812015,72358815,72508230,72588626,72622802,72638600,72752151,72772534,73344742,73656306,73862810,73893752,74167326,74197174,74313115,74316292,74337312,74602860,74628475,74634676,74681555,74719328,74721334,74952772,75162742,75208671,75322774,75558234,75761542,75857778,75868130,75905332,76278335,76457480,76694264,76756394,76948342,77034639,77075967,77182736,77340742,77342112,77348556,77589407,77692534,78201039,78220087,78606378,78701542,78981235,79207656,79237047,79560282,79576384,79882220,80124447,80232742,80460214,80501512,80573734,80649334,80788287,80788955,80988742,81001155,81139174,81207930,81388680,81718425,81775654,81862634,81924742,82064199,82634747,82681676,82703254,82800095,82811572,82965750,83130471,83255014,83516259,83629476,83755464,83985094,83992170,84059244,84347734,84636694,85390342,85536979,85904692,86014665,86057195,86174418,86241639,86278342,86281047,86348919,86401232,86621792,86771254,86814592,86830578,86981542,87009876,87025610,87121414,87133876,87166320,87330742,87422699,87793455,87847599,88137530,88334374,88468919,88493624,88496800,88574614,88635372,88697055,89108613,89175738,89256694,89305887,89523432,89554170,89591648,89617866,89632807,89874554,89898742,90066742,90137159,90186676,90200854,90537020,90558584,90564201,90987159,91041756,91066342,91248860,91408730,91534002,91562265,91695999,91748976,91757494,91783087,92004532,92181814,92580771,92861542,92902970,92977408,93096475,93342742,93534214,93646352,94224897,94412212,94451542,94558755,94610192,94639654,94733494,94777482,94951894,94972795,95045254,95386342,95413431,95417254,95524448,95537631,95703839,95858664,95990155,96337174,96580054,96610342,96761542,96946746,97145679,97201386,97257315,97404344,97449516,97666416,97695475,97838374,97979210,98062110,98133814,98280934,98591051,98768750,99356972,99360114,99502815,99555327,99558900,99672934,99701542,99958294,...,3915343744459193466748513747243280178644141135575096651769370154836556297672281110028507360511034085677614030431087368113068807872921141872529112772999466932987919444030959788831052903555035844871944344403211739168197876515336455993298662936476565019979130042381493749837306779991590193413328446925968715552225253871352431460312394911657088129446808153699621537182752554602159806160878050665074769649665182998226585242860832771664590155473323239855089732564528326466264601422793620036860679576957623225617755228235670953763907744464344896178507787058203355994863260375791813395925068294248745613491970559529570312241802594972578666327968149870635748882100699111158976860424238466910206862739259961341926924951320424925364234982750626621180439346525441379871141863906330146252111088598375042576759713965316037984676476757181030348327163777793715082689443940929281912577682640038089754368309238412050619497921731579480151377244432012729583339016311129896986897444260762263759856117433653337411376098641658329567614712611942109284460671947244614095833744787944660915652195296017149550158106549126329383045520524016149457034055410357180308976573955095059224555710746622287939386649780470678907487514217099812702645731722681608536503839424392439473900247622622944282462345475366739587962797594286904903393759045824396604341834365954836701468579899238395025279238246532741111338607990139992213341761823103303832883042714593181993688765694345949057463478727523523902044214200046049415343794985000707246471983142851554905374675357441787050133503725702786388244553417055335154162992610084421989675357448953872936352612764187556304986624916151012183236091194623030127734648280362650762806972725694894486170194458483443588998959397074561235736604242604894975807825386956759343267942645755319998223623861207597946743458932533006105328750317466708788079736321999287055273589347168309881058801437826829811508573310039642081174619712000801386977966078415987748256875580846598504873073226893407277380383899360848677278775025906186556121654068936655464752705166352195907440925140280317428852294392184693059940436113721462353678247877890313287826329685102467105888138167452070458848571720735847607339548860990047197618768910541511181125795035684714456054726769691319212597844306895994376661916401508479890835616047483101211607518423159970467232289053707896232633093858916979149506401603181463898258984998405867156844238017759773472110405071239707137266916595324908616548019515003425143768089870702286239401632753012173238562494632415842}
15831 10643420889288298890620439949730064471526659508709144025413706593: {237345,253168,284814,521961,775033,901113,1107190,1328628,1343765,1469121,1581700,1612518,1752801,1817345,1898040,1912889,1941801,2024576,2135295,2180814,2277648,2290565,2562354,2748678,2877238,2885361,2955161,3167961,3732513,3996641,4088833,4110340,4179845,4202313,4203598,4565333,4577721,4651265,4765281,4869172,4932408,5015814,5037329,5341414,5548959,5581518,5841190,6005140,6174281,6362161,6853294,6955960,7002965,7008513,7009428,7206168,7381041,7522228,7803718,7825455,7846161,8106939,8154641,8347152,8403513,8403558,8496321,9039316,9192161,9330513,9390546,9790420,10173268,10228889,10624281,10678633,10746040,10766734,10993781,11401102,11619615,11748504,11903398,12089295,12299969,12394256,12556113,12597833,12822292,12895248,12922881,13206292,13217067,13265093,13459894,13797838,13832875,13943538,13964548,14004065,14200661,14367881,14507154,14533240,14750961,14868281,15255190,15297304,15388521,15394565,15400649,16095478,16163953,16349895,16599450,16804878,17022561,17037641,17209467,17218033,17439888,17634214,17706080,17869201,18017313,18288718,18306228,18317560,18473478,18558681,18739829,18886036,19228420,19603318,19619874,19761250,19819681,19919340,20006165,20144212,20401972,20607255,20757268,21247296,21371393,21520761,21571095,21829993,21981072,22056513,22176838,22196441,22947513,22993540,23009168,23074104,23392113,23398228,23615233,23632312,23634281,23713500,23903208,23924841,24007398,24206213,24353161,24597190,24690868,24728706,24810801,25294400,25517841,25527430,25553451,25679875,25684769,25698521,25763278,25885314,25958367,26037172,26047113,26126740,26288521,26474069,26586351,26839401,26891109,27309845,27354382,27406232,27434758,27454281,27592248,27763265,28004740,28313830,28331953,28456200,29204601,29516628,29573345,29653240,29762449,29776241,29842516,30304174,30353280,30420775,30519118,30632916,30754321,30786721,30797129,30815850,30832011,31041279,31309012,31352088,31379001,31515015,31960984,31964101,32013225,32323798,32376832,32390129,32677441,32771814,32836529,32870240,32935281,33128494,33315918,33359895,33426040,33605688,33616016,33628036,33951814,33968481,33976596,33984601,34073345,34147440,34196501,34521365,34763033,34790230,34926041,35271099,35488014,35509381,35583888,35590201,35863265,35897281,35939121,35956107,36155734,36392278,36423936,36504930,36506182,36508792,36536361,36572788,36704775,36979020,37195960,37517875,37555030,37604295,37806399,37818018,37901878,37943003,38053289,38415870,38534548,38575113,38938592,38987233,39064198,39151760,39185921,39201358,39201652,39336081,39444288,39476703,39504921,39634294,39684868,40031874,40045395,40111248,40342561,40406353,40888014,40962449,40976928,41072391,41251921,41425638,41748276,41845455,41858601,42026001,42229558,42258838,42463822,42524165,42715088,42810001,42871633,42965345,42986009,43035918,43437316,43458250,43528281,43598740,43654438,43805916,43981030,44045730,44359521,44374824,44421833,44635152,44727160,44931409,44984596,45021450,45066036,45125154,45165845,45592856,45604865,45767121,46000181,46015409,46099044,46102708,46428052,46509513,46650121,46982112,46996075,47003361,47224462,47326420,47332113,47438391,47946382,48022880,48054474,48070401,48071415,48234201,48464953,48479721,48507598,48549430,49129972,49379321,49539845,49602958,49785001,49785513,49921677,50043521,50113318,50214546,50318055,51028998,51276176,51279365,51281830,51291963,51490041,51558414,52045774,52140718,52149900,52246840,52318488,52570294,52701081,52777236,52831414,52854876,53389371,53670868,53672592,54025740,54093094,54145540,54147201,54199014,54204290,54309665,54701812,54725838,55626560,55684582,55744881,55824513,55848598,55963141,56001940,56002360,56033345,56298292,56301801,56395290,56474275,56620420,56698132,56791704,56908984,57151918,57227875,57274873,57288238,57456916,57573262,57627456,57632230,57685698,58179845,58259316,58495633,58505655,58777695,58858299,59000494,59060441,59304561,59447814,59517334,59534129,59853921,60058361,60077081,60154976,60159988,60327940,60381666,60693958,60743765,60949113,61055489,61138294,61138438,61245190,61535238,61538196,61586932,61650681,61716341,61728358,61904401,62117313,62350516,62406032,62544409,62579880,62696208,62893113,63002655,63558775,63617038,63743721,63890667,63975201,64022607,64142165,64344593,64657033,64830888,64974648,65045148,65171598,65212312,65326852,65346574,65379412,66254465,66588118,66643030,66751872,66900295,67107481,67137250,67202328,67202832,67240014,67483249,67497513,67534894,67646212,67674348,67769130,67801633,67894996,67944504,67947958,68379982,68559441,68673450,68690278,68801321,69088641,69158676,69196565,69230254,69306699,69528521,69629336,69815814,70206786,70362214,70402365,70438823,70452065,70533234,70618516,70804695,70894113,70983209,71009734,71121430,71215095,71711014,72287072,72393528,72447694,72834441,72892518,72934749,72953345,73096479,73251680,73252969,73286031,73363851,73487473,73494228,73509304,73576401,73619233,73716721,73798521,74447201,74486740,74905881,74932121,75027845,75095856,75100420,75525008,75601078,75602619,75603186,75686158,75794068,75962768,75987892,76067953,76134481,76270530,76437567,76488015,76885521,76970598,77431921,77434700,77885489,77977761,78050062,78118468,78333003,78392692,78410693,78666454,79238761,79505358,79642041,79798798,79971636,80000518,80020609,80280354,80403574,80564700,81150513,81197345,81222081,81322956,81348401,81355232,81442719,81587216,81605765,81840340,81940558,82351433,82408140,82506201,82507975,82697967,82774222,82783918,82791929,82861521,82932513,83035878,83228681,83513333,83565190,83583892,83876331,83994513,84164728,84286420,84347313,84482838,84506932,84542478,84779875,84916852,84965634,85228801,85345716,85402113,85458114,85524721,85582793,85935680,85942840,86451513,86726758,86882465,87245275,87285845,87340420,87397441,87544014,87564921,87638209,87678569,87773001,87902016,87911601,87916792,88066407,88254838,88672582,88763188,88870241,89223513,89384088,90033414,90120504,90420793,90773494,90798250,91209201,91239833,91259701,91524636,91596718,91685481,91759633,91785172,91785618,91921961,92367190,92781461,92869294,92895365,92921640,93253575,93293345,93376681,93383489,93399160,93516401,93534073,93690965,94401814,94513012,94543918,94685319,94706854,94719201,94881665,95053281,95063871,95550869,95564932,95571850,95719641,95811303,95867830,95919081,96242569,96478420,96634678,96677640,96685695,96917518,97002868,97045161,97060561,97243161,97436814,97643833,97926918,98208408,98229921,98359481,98435761,98889768,98906391,99009570,99025049,99116416,99139894,99270478,99325721,99374353,99470480,99557038,99852775,...,5873015616688790200122770620864920267966211703362644977654055232254834446508421665042761040766551128516421045646631052169603211809381712808793669159499200399481879166046439683246579355332553767307916516604817608752296814773004683989947994404714847529968695063572240624755960169987385290119992670388953073328337880807028647190468592367485632194170212230549432305774128831903239709241317075997612154474497774497339877864291249157496885233209984859782634598846792489699396902134190430055291019365436434838426632842353506430645861616696517344267761680587305033992294890563687720093887602441373118420237955839294355468362703892458867999491952224805953623323151048666738465290636357700365310294108889942012890387426980637388046352474125939931770659019788162069806712795859495219378166632897562563865139570947974056977014715135771545522490745666690572624034165911393922868866523960057134631552463857618075929246882597369220227065866648019094375008524466694845480346166391143395639784176150480006117064147962487494351422068917913163926691007920866921143750617181916991373478292944025724325237159823689494074568280786024224185551083115535770463464860932642588836833566119933431909079974670706018361231271325649719053968597584022412804755759136588659210850371433934416423693518213050109381944196391430357355090638568736594906512751548932255052202869848857592537918857369799111667007911985209988320012642734654955749324564071889772990533148541518923586195218091285285853066321300069074123015692477501060869707974714277332358062013036162680575200255588554179582366830125583002731244488915126632984513036173430809404528919146281334457479937374226518274854136791934545191601972420543976144210459088542341729255291687725165383498439095611841853604906363907342463711738080435139014901913968632979997335435791811396920115188398799509157993125476200063182119604482998930582910384020752464821588202156740244717262859965059463121761929568001202080466949117623981622385313371269897757309609840340110916070575849041273015918162538859279834182481103404983197129057749528293861161387710420476143278441588277039589910654170582193530517371816835469931739494527653700658832207251178105688272857581103771411009323291485070796428153365812266771688692553527071684082090154536978818896766460343991564992874602262719836253424071224651817411277634739955700848433580561844348949640788375468724259602404772195847388477497608800735266357026639660208165607606859560705900374892987362924822029272505137715652134806053429359102449129518259857843741948623763}
15832 10690243200813768436734630229694012463254040964707514613410372849: {221522,316460,363607,379752,411242,427221,458287,647431,695948,930607,1119031,1201484,1307167,1357682,1588831,1660785,1771504,1958828,1977125,1992942,2150024,2336767,2337068,2372550,2418777,2530720,2589068,2847060,2907752,2987431,3036864,3052202,3239762,3271221,3416472,3664904,3843531,3847148,3910831,4094647,4123017,4223948,4315857,4369831,4735058,4976684,5107442,5137925,5554807,5603084,5664938,6007327,6086465,6103628,6165510,6305397,6353708,6458047,6576544,6591218,6637831,6687752,6906967,6960722,7145258,7303758,7398612,7442024,7506425,7523721,7710487,8012121,8372277,8432978,8596447,8684647,8694950,8761785,9007710,9124567,9344684,9345904,9402785,9608224,9841388,9999007,10279941,10346767,10433940,10442282,10461548,10514142,10606831,10809252,10844974,11129536,11204684,11204744,11283342,11299145,11328428,11705577,11711858,12238025,12440684,12520728,12605337,12716585,12918247,13171831,13385141,13432550,13513298,13558974,14012431,14050922,14085819,14165708,14179687,14685630,15094447,15259902,15300338,15492820,15507367,15664672,15672031,16011122,16027865,16082431,16119060,16150101,16327807,16507865,16542698,16741484,17060047,17101653,17193664,17230508,17425778,17455685,17464327,17622756,17855097,18166550,18591384,18656042,18666367,18745927,19121630,19181138,19233438,19342872,19530482,19667948,19809438,20133022,20189841,20322007,20518028,20678273,20696757,20915307,20922098,20946822,21441578,21639031,21760731,21799860,22132600,22304498,22406504,22556167,22696748,22820522,22882785,22896950,22945956,23163818,23253184,23607545,23980453,24023084,24035525,24143217,24408304,24631304,24744908,24848681,24899175,25180265,25207317,25502465,25538407,25946585,26159832,26396402,26451321,26482831,26559120,26842831,27057967,27070322,27343807,27433077,27459342,27476340,27699487,27710217,27965861,28329054,28329728,28475647,28615831,28694348,28741925,28761460,28842630,28965031,29247785,29308096,29312431,29404977,29408684,29414014,29429811,29450887,29540390,29641875,29879010,29908778,30138847,30216318,30570602,30596684,30602958,30765472,30863585,31065458,31135902,31189484,31224607,31394642,31493167,31618000,31870944,31899788,31945193,32009864,32026831,32215082,32358031,32546465,32658425,32868842,32971608,33081068,33265257,34023788,34071268,34257790,34307431,34490310,34513752,34611156,34729484,35005925,35097342,35138858,35448468,35570250,35571031,35758087,35785868,35854812,36011097,36103082,36303509,36376927,36605708,36789664,36895785,37036302,37066550,37093059,37221458,37291687,37303145,37375702,37593007,37698602,37892527,37941600,38291145,38387921,38490962,38604031,38644917,38721607,38827971,38897431,38939468,39055758,39136265,39190110,39355504,39363127,39651847,39893749,39908138,39951230,40337431,40377938,40471040,40620031,40843888,41002322,41031573,41087800,41109348,41152137,41158058,41388372,41622487,41782550,41802784,41838668,41896807,42007110,42020020,42035045,42051614,42470745,42553202,42684300,42707498,43695752,43870831,43913708,43935221,43974727,44242538,44274942,44421224,44479860,44643031,44763774,44807584,44866654,45004658,45048247,45291308,45302128,45399031,45456261,45529920,45635990,45715985,45763178,45778677,45894031,45949374,46138831,46223775,46236247,46494950,46719007,46766887,46963518,46969322,47028132,47317352,47335831,47445184,47476447,47709367,47918828,47941476,48168185,48351967,48485697,48565248,48612722,48673240,48715148,48936031,48939700,49002065,49157721,49206002,49245487,49305360,49464367,49501778,49606085,49692741,49795361,49939567,49973877,50139060,50186873,50364007,50408532,50424024,50442054,50448031,50532458,50692057,50739847,50863831,50927721,50964894,51221160,51264338,51433484,52137842,52146007,52185345,52448108,52592384,52635604,52673228,53232021,53375832,53393860,53481664,53824327,54001807,54155858,54233601,54296645,54454831,54498425,54517352,54588417,54605278,54635904,54727567,54757395,54759273,54763188,54859182,55234184,55296338,55453831,55468530,55664368,55677607,55793940,55811468,55835287,55908950,55991167,56034668,56230745,56327767,56332545,56537431,56727027,56830831,56852817,56917447,56974831,56991070,57060773,57173407,57381224,57478327,57532831,57614047,57623805,57628385,57721327,57801822,57932431,58035065,58037708,58407888,58523882,58596297,58610887,58662482,58727640,58802037,58802478,58918831,59077418,59102287,59146028,59158025,59166432,59325127,59412247,59451441,59513536,59519527,59527302,59728687,60028600,60040562,60047811,60048367,60087031,60088048,60166872,60220087,60238807,60632431,60717031,60799831,60860498,60925669,61022828,61083007,61332021,61397431,61412465,61424287,61465392,61490167,61554247,61566847,61628767,61770031,61792567,61825831,61847647,61962487,62012684,62077831,62080682,62138457,62320831,62522431,62535607,62556127,62622414,62642816,62647927,62654407,62661967,62671148,63109484,63251188,63344337,63388257,63695733,64072632,64093868,64095220,64221098,64312268,64320641,64553877,64639628,64964174,65155974,65187375,65308550,65398110,65481657,65708874,65971545,66068595,66084382,66380684,66467422,66562236,66714962,66952728,67088585,67090740,67103978,67476894,67491698,67532175,67599054,67681925,67687731,68038664,68377265,68389284,68653388,68744552,69148566,69154062,69385654,69533200,69642078,69757984,69790802,70002425,70002950,70043378,70268108,70295378,70369648,70372865,70473168,70546802,70615721,70775525,70836693,70872665,70989630,71136230,71185828,71388814,71546738,71563456,71821145,71919573,72034320,72081711,72196268,72265352,72290642,72761397,72824145,72906602,72967784,73644137,73694958,74006258,74127722,74326508,74404437,74432684,75069068,75169977,75193720,75199985,75321819,75409925,75722272,76543497,76836608,76914264,76922745,76927193,76983665,76999658,77337621,77679088,77938145,77938538,78007540,78068661,78211077,78224850,78288242,78370260,78477732,78855441,79072748,79099178,79165854,79247121,79263752,79282314,79805228,80506302,80508888,81038610,81139641,81152042,81218310,81265484,81298521,81306435,81377258,81515390,81658565,81724265,81825962,82035701,82046984,82050928,82052718,82088757,82200908,82823084,82937642,83048018,83439840,83488082,83526873,83594944,83772897,83857484,84002910,84003540,84034922,84447438,84557765,84592935,84868745,84930630,84991628,85047198,85187556,85300268,85363476,85546922,85727877,85786558,85932357,86185374,86359893,86441184,86448345,86528547,86632864,86726864,86820458,86895464,87030698,87036670,87388974,88151273,88273145,88500741,89002496,89171721,89276001,89305322,89603104,89603776,89653352,89996684,90232464,90239982,90316202,90358840,90491910,90572499,90592672,90712102,91040937,91312682,91412588,91436081,91564600,91707441,91707657,91805522,91867785,91886630,92118188,92211568,92302857,92307294,92380398,92408932,92441921,92592537,92683562,92820329,92877098,93087752,93108425,93166322,93525774,93609048,93740882,93869820,93875525,94044312,94121042,94406260,94525484,94686962,94742585,94953460,94984865,95425557,95433458,95600153,96170738,96353618,96524704,96626858,96793375,96989162,97112588,97190024,97246332,97461972,97567722,97648085,97714708,97757397,97818468,97990278,97990865,97992304,98019861,98069118,98101868,98327282,98398028,99546962,99718898,99874508,99882177,99964545,...,7830687488918386933497027494486560357288282271150193303538740309673112595344562220057014721022068171355228060862174736226137615745842283745058225545998933865975838888061919577662105807110071689743888688806423478336395753030672911986597325872953130039958260084762987499674613559983180386826656893851937431104450507742704862920624789823314176258893616307399243074365505109204319612321756101330149539299330365996453170485721665543329180310946646479710179465129056652932529202845587240073721359153915246451235510456471341907527815488928689792357015574116406711989726520751583626791850136588497491226983941119059140624483605189945157332655936299741271497764201398222317953720848476933820413725478519922683853849902640849850728469965501253242360878693050882759742283727812660292504222177196750085153519427930632075969352953514362060696654327555587430165378887881858563825155365280076179508736618476824101238995843463158960302754488864025459166678032622259793973794888521524527519712234867306674822752197283316659135229425223884218568921343894489228191667489575889321831304390592034299100316213098252658766091041048032298914068110820714360617953147910190118449111421493244575878773299560941357814975028434199625405291463445363217073007678848784878947800495245245888564924690950733479175925595188573809806787518091648793208683668731909673402937159798476790050558476493065482222677215980279984426683523646206607665766085429186363987377531388691898114926957455047047804088428400092098830687589970001414492943966285703109810749350714883574100267007451405572776489106834110670308325985220168843979350714897907745872705225528375112609973249832302024366472182389246060255469296560725301525613945451389788972340388916966887177997918794149122471473208485209789951615650773913518686535885291510639996447247722415195893486917865066012210657500634933417576159472643998574110547178694336619762117602875653659623017146620079284162349239424001602773955932156831975496513751161693197009746146453786814554760767798721697354557550051812373112243308137873310929505410332704391814881850280560634857704588784369386119880872227442924707356495755780626575652659370204934211776276334904140917697143441471695214679097721980094395237537821083022362251590071369428912109453539382638425195688613791988753323832803016959781671232094966202423215036846319940934464578107415792465266187717833958299012803206362927796517969996811734313688476035519546944220810142479414274533833190649817233096039030006850287536179741404572478803265506024346477124989264831684}
15833 10737269878171742094325244430352572149194569916646624435745044704: {332283,395575,474690,506336,569628,616863,869935,1043922,1501855,1550066,1802226,1881271,2036523,2214380,2260687,2448535,2544283,2657256,2687530,2921335,2938242,2989413,3163400,3206791,3225036,3236335,3302827,3492463,3505602,3558825,3634690,3796080,3825778,3883602,4049152,4270590,4361628,4555296,4578303,4581130,4723303,4808935,4859643,5102431,5124708,5279935,5384731,5497356,5754476,5770722,5851783,5910322,5953207,6220855,6335922,6511771,6900667,7003855,7102587,7465026,7629535,7661163,7782991,7942135,7993282,8177666,8220680,8351323,8359690,8404626,8407196,8497407,9130666,9155442,9248265,9302530,9530562,9637303,9738344,9804151,9864816,9886827,10031628,10074658,10441083,10575631,10682828,10717887,10863463,10955637,11097918,11163036,11530063,11680855,11682380,12010280,12088687,12287167,12301735,12348562,12646447,12649467,12724322,13042425,13076935,13422823,13511565,13706588,13911920,14005855,14005930,14017026,14018856,14079931,14160535,14179927,14369707,14412336,14536327,14762082,15044456,15402607,15550855,15593563,15607436,15650910,15663423,15692322,15771213,15871327,16213878,16267461,16309282,16694304,16807026,16807116,16917991,16925013,16980223,16992642,17567787,17707135,17938111,18078632,18200767,18384322,18661026,18781092,19366025,19580840,19605691,19653967,20032231,20148825,20269947,20338461,20346536,20457778,20926855,21076383,21134791,21248562,21357266,21492080,21533468,21538135,21552391,21987562,22028445,22095847,22199263,22802204,22889853,22950507,23239230,23497008,23794951,23806796,23979307,24016683,24178590,24584935,24599938,24788512,24807787,24814047,25112226,25195666,25644584,25647535,25701787,25790496,25845762,25875607,26029531,26138667,26412584,26422423,26434134,26530186,26919788,27249825,27387511,27595676,27665750,27765487,27887076,27929096,27931423,27984063,28008130,28008631,28370935,28401322,28583227,28682445,28735762,28771707,28850157,29014308,29066480,29295723,29501922,29714157,29736562,29780047,30022843,30028855,30199533,30354727,30510380,30576991,30594608,30777042,30789130,30801067,30801298,30931135,31141231,31383147,31420233,32162367,32190956,32327906,32394247,32699790,33180367,33198900,33302527,33456747,33609756,34045122,34075282,34200847,34230783,34345425,34353871,34418934,34436066,34623931,34745727,34767451,34879776,35190103,35268428,35412160,35738402,35864623,35867935,35951825,36034626,36396607,36516391,36577436,36612456,36635120,36760855,36946956,37117362,37479658,37772072,38058127,38233783,38245855,38456840,38806807,38868571,38986855,39034987,39190903,39206636,39239748,39343231,39522500,39594603,39639362,39684511,39838680,39874735,39909547,40012330,40288424,40605483,40803944,40967707,41189013,41214510,41305231,41351335,41402683,41514536,42493581,42494592,42529735,42589085,42742786,43041522,43142190,43263945,43411855,43610971,43659986,43962144,44113026,44121021,44177143,44310585,44353676,44392882,44427511,44732335,44818515,44863167,45012187,45324477,45757135,45810043,45855903,45895026,45904437,45987080,46006063,46018336,46148208,46357531,46598187,46703853,46784226,46796456,47091963,47230466,47240827,47264624,47268562,47427000,47702683,47806416,47849682,48014796,48037231,48322623,48329911,48410167,48412426,48674335,48706322,49194380,49303263,49381736,49457412,49621602,49647931,50100187,50208571,50588800,50801647,51035682,51054860,51106902,51359750,51369538,51386685,51397042,51411967,51526556,51735465,51770628,51916734,52074344,52094226,52253480,52298335,52308031,52525025,52577042,52646013,52708287,52948138,53063131,53172702,53355375,53670247,53678802,53782218,54154623,54381847,54619690,54708764,54812464,54869516,54892135,54908562,55184496,55526530,55554453,55599825,55832187,56009480,56063553,56547903,56614135,56627660,56663906,56912400,57736443,58409202,58583637,58660603,58785165,59033256,59142343,59146690,59306480,59400847,59524898,59533831,59552482,59685032,59862207,59898535,59926845,60084763,60151483,60566907,60608348,60706560,60841550,60893935,61038236,61174625,61265832,61503483,61508642,61573442,61594258,61631700,61664022,61724263,61737087,62082558,62244991,62618024,62673825,62704176,62758002,63010665,63030030,63077421,63232183,63639931,63829803,63846811,63921968,63928202,64026450,64061247,64291855,64381867,64647596,64753664,64780258,65044507,65063527,65354882,65543628,65560135,65570623,65673058,65740480,65794505,65841535,65870562,66256988,66363807,66412413,66631836,66719790,66742325,66852080,67145661,67211376,67232032,67256072,67299981,67506987,67903628,67936962,67953192,67969202,67977271,68146690,68294880,68393002,68453985,68614267,68644767,68924061,68977087,69042730,69343087,69355783,69526066,69580460,69742425,69764335,69798703,69852082,70043335,70087327,70445277,70453983,70542198,70976028,70978063,71018762,71167776,71180402,71240791,71322031,71726530,71791111,71794562,71878242,71912214,72156487,72157483,72311468,72547135,72640807,72784556,72847872,72919083,72968731,73009860,73012364,73017584,73072722,73145576,73409550,73809003,73932535,73935007,73958040,74252667,74284507,74391920,75035750,75110060,75208590,75612798,75636036,75663081,75798687,75803756,75886006,75921403,75927247,76033531,76106578,76278535,76447341,76831740,76896507,77069096,77150226,77515855,77708347,77877184,77895631,77974466,78128396,78206763,78223387,78303520,78338935,78371842,78402716,78403304,78446683,78672162,78849691,78886855,78888576,78953406,79009842,79063985,79268588,79369736,80063748,80090790,80117335,80119025,80222496,80390335,80626303,80685122,80799535,80812706,81233787,81358843,81451783,81776028,81907917,81924898,81953856,82065127,82144782,82288773,82503842,82802731,82851276,82944507,82975855,83202795,83496552,83690910,83717202,83818327,83863425,83889247,83929687,84052002,84115231,84459116,84517676,84760027,84927644,85041271,85048330,85143007,85430176,85486605,85620002,85737487,85743266,85816735,85930690,85972018,86071836,86261911,86298967,86702733,86874632,86916500,87056562,87197480,87213163,87308876,87611832,87785823,87835135,87962060,87965947,87993723,88015147,88091460,88203717,88556143,88616127,88719042,88749648,88843666,88982285,89162791,89270304,89290953,89454320,89799031,89822107,89862818,89969192,90042900,90060843,90132072,90245335,90250308,90331690,90531367,91185712,91209730,91290747,91534242,91765711,92000362,92030818,92046487,92198088,92205416,92396347,92756251,92856104,92908135,93019026,93040855,93121023,93300242,93338431,93660413,93829663,93836335,93933621,93964224,93992150,94006722,94448924,94498987,94652840,94664226,94876782,95232667,95563087,95892764,96045760,96108948,96140802,96142830,96152167,96331647,96468402,96549031,96571591,96833431,96875191,96929906,96959442,97015196,97098860,97446261,97509425,97733961,97845007,97924063,97962825,98097165,98259944,98563311,98632891,98758642,98840935,98905771,99079690,99126573,99205916,99570002,99571026,99701133,99756535,99843354,...,11746031233377580400245541241729840535932423406725289955308110464509668893016843330085522081533102257032842091293262104339206423618763425617587338318998400798963758332092879366493158710665107534615833033209635217504593629546009367979895988809429695059937390127144481249511920339974770580239985340777906146656675761614057294380937184734971264388340424461098864611548257663806479418482634151995224308948995548994679755728582498314993770466419969719565269197693584979398793804268380860110582038730872869676853265684707012861291723233393034688535523361174610067984589781127375440187775204882746236840475911678588710936725407784917735998983904449611907246646302097333476930581272715400730620588217779884025780774853961274776092704948251879863541318039576324139613425591718990438756333265795125127730279141895948113954029430271543091044981491333381145248068331822787845737733047920114269263104927715236151858493765194738440454131733296038188750017048933389690960692332782286791279568352300960012234128295924974988702844137835826327853382015841733842287501234363833982746956585888051448650474319647378988149136561572048448371102166231071540926929721865285177673667132239866863818159949341412036722462542651299438107937195168044825609511518273177318421700742867868832847387036426100218763888392782860714710181277137473189813025503097864510104405739697715185075837714739598223334015823970419976640025285469309911498649128143779545981066297083037847172390436182570571706132642600138148246031384955002121739415949428554664716124026072325361150400511177108359164733660251166005462488977830253265969026072346861618809057838292562668914959874748453036549708273583869090383203944841087952288420918177084683458510583375450330766996878191223683707209812727814684927423476160870278029803827937265959994670871583622793840230376797599018315986250952400126364239208965997861165820768041504929643176404313480489434525719930118926243523859136002404160933898235247963244770626742539795514619219680680221832141151698082546031836325077718559668364962206809966394258115499056587722322775420840952286556883176554079179821308341164387061034743633670939863478989055307401317664414502356211376545715162207542822018646582970141592856306731624533543377385107054143368164180309073957637793532920687983129985749204525439672506848142449303634822555269479911401696867161123688697899281576750937448519204809544391694776954995217601470532714053279320416331215213719121411800749785974725849644058545010275431304269612106858718204898259036519715687483897247526}
15834 10784501806363376764630158902479883835935659863890740647789268810: {174053,268889,443044,489893,584489,632920,679013,712035,727214,741989,759504,822484,854442,916574,962153,1056389,1150553,1294862,1391896,1526489,1565883,1589033,1620293,1682789,1861214,2238062,2325099,2368133,2402968,2554373,2614334,2616389,2703339,2709353,2715364,2767975,2987813,3018713,3177662,3321570,3542789,3543008,3635033,3911333,3917656,3954250,3985884,4031295,4300048,4400933,4407363,4553513,4673534,4674136,4745100,4766789,4837554,5061440,5178136,5222489,5258403,5452035,5676389,5694120,5738667,5766953,5815504,5825403,5917733,5974862,6073728,6104404,6405885,6479524,6488873,6542442,6668633,6818213,6832944,6871695,7027289,7086953,7193095,7329808,7687062,7694296,7711493,7821662,7978073,8189294,8246034,8361989,8447896,8509289,8521051,8597573,8631714,8656083,8715173,8739662,8865483,9037913,9155033,9242789,9388889,9470116,9503883,9738713,9825989,9953368,10029353,10203353,10214884,10275850,10508995,10982789,11069033,11109614,11197539,11206168,11212613,11327333,11329876,11413289,11470553,11642153,11989923,12014654,12172930,12207256,12266499,12325673,12331020,12539535,12606939,12610794,12707416,12916094,13117289,13153088,13163899,13182436,13201733,13257989,13275662,13353535,13375504,13594853,13695999,13733163,13813934,13921444,13953795,13958489,14097989,14290516,14295843,14376389,14598533,14602975,14607516,14709413,14797224,14884048,15012850,15013673,15047442,15111987,15124073,15420974,15536933,15701573,15818803,16024242,16029989,16111913,16166489,16248293,16438889,16646877,16744554,16865956,16900133,17133235,17192894,17305193,17369294,17389900,17523570,17574233,17735273,17803219,18015420,18249134,18522843,18589289,18668933,18689368,18691808,18775013,18805570,18854489,18907433,19086483,19216448,19509295,19682776,19854953,19998014,20506853,20558789,20559882,20636633,20693534,20817989,20867880,20884564,20923096,21008895,21025539,21028284,21213662,21333989,21411113,21618504,21642053,21689948,21897893,22143123,22178393,22259072,22409368,22409488,22439011,22559333,22566684,22598290,22656856,22938473,23111011,23114789,23240489,23411154,23423716,23476365,23491289,23538483,24320817,24437959,24463923,24476050,24609989,24683993,24881368,24979289,25041456,25052933,25210539,25210674,25273433,25433170,25488963,25542053,25836494,26076389,26124773,26343662,26486633,26630873,26770282,26846693,26865100,26870633,26916835,27026596,27085733,27117948,27576483,27585113,27703493,27986789,27991539,28024862,28101844,28171638,28292393,28331416,28359374,28502755,28643333,28969253,28992473,29270489,29316713,29339813,29366623,29371260,29455193,29758495,30074789,30188894,30234473,30416489,30484613,30519804,30600676,30686667,30756389,30914393,30985640,31014734,31094489,31251653,31329344,31344062,31653989,31765289,31872843,31920773,31987289,32022244,32035899,32053733,32055730,32164313,32164862,32238120,32300202,32428889,32494853,32648489,32655614,32976389,32981343,33015730,33050563,33085396,33367493,33482968,33562073,33649735,33799013,34120094,34203306,34333913,34387328,34461016,34494595,34588889,34851556,34858845,34905989,34911370,34928654,35011289,35074373,35158373,35245512,35252371,35284133,35325989,35534789,35597273,35703451,35710194,35784293,35887913,36267885,36325219,36333100,36403013,36464489,36505433,36831833,36899907,37014533,37115753,37182768,37312084,37332734,37491854,37668339,37678889,37778789,37793499,38137975,38243260,38362276,38466876,38610053,38685744,38768643,39060964,39335896,39618876,39651201,39677273,39795279,39830489,40078373,40238695,40249193,40266044,40305989,40379682,40626473,40644014,40907333,40946899,40963289,41036056,41356546,41393514,41426789,41498625,41574053,41647493,41757413,41793989,41830614,41844196,41893644,41921753,42012195,42392873,42572633,42601983,42787289,42822953,42883156,42904147,43089413,43103643,43209019,43266053,43278062,43459433,43521462,43599720,43669289,43791173,43877993,43895333,43981913,44085535,44102789,44240453,44252883,44265200,44309093,44360489,44604843,44608996,44650373,44667353,44701289,44813008,44819813,45112334,45122789,45173033,45367543,45393496,45406553,45565051,45641044,45671513,45704489,45721795,45765570,45793900,45891912,45918053,46113989,46162793,46165563,46183695,46201947,46243973,46327636,46389593,46506368,46598789,46630853,46790693,46917989,47076389,47215090,47343833,47359493,47390789,47437673,47500073,47546789,47732933,47779289,47960906,48040613,48046168,48071050,48286434,48360233,48491859,48511193,48541289,48691289,48816608,48870233,48988889,49008295,49049685,49165913,49262608,49403125,49472933,49489816,49697362,49798350,49862489,50047973,50246213,50288489,50360530,50414634,50470853,50596313,50665733,50872793,50886533,51004930,51067683,51076814,51091673,51112923,51118889,51159653,51321989,51416153,51563333,51616613,51628401,51654099,51815273,51893170,51920489,51923443,52051289,52090373,52155353,52224403,52319664,52349093,52464473,52655333,52792804,52881989,52902642,52965662,53118240,53155493,53339753,53437289,53607603,53685662,53762693,53834213,53881733,53976389,54011753,54051939,54093989,54115934,54140644,54187493,54635993,54687614,54749033,54790771,54866154,54918684,54952680,55005989,55116389,55138373,55398974,55420434,55442095,55442789,55475033,55496489,55676043,55845893,55931722,56001833,56073989,56091211,56219487,56247593,56378789,56558213,56658108,56659456,56725289,56841833,56851493,56938073,56951294,56985893,57137573,57221993,57231662,57268613,57388696,57416453,57483850,57498713,57522920,57553193,57571289,57685260,57688133,57732713,57768233,57930062,57943913,57952613,58310789,58451753,58476389,58495570,58616192,58622693,58624862,58718789,58809954,58817368,58828028,58849063,58859622,58901774,59080780,59167013,59181989,59204393,59256389,59283750,59311759,59344613,59381033,59424473,59459043,59637353,59741093,59758020,59768453,59802473,59817556,59889989,60018495,60021989,60067433,60138053,60182489,60201413,60257753,60276389,60277694,60294953,60368489,60432636,60440873,60645413,60812933,60818393,60883289,60962789,61081193,61101353,61131353,61141204,61193368,61200233,61205916,61411013,61415513,61482053,61490789,61492975,61503833,61530944,61567973,61584773,61609733,61666853,61727170,61737989,61776389,61783973,61821765,61832489,61861673,61886789,62016293,62045273,62054789,62130916,62145989,62154713,62174789,62180453,62216489,62237993,62271804,62294489,62306789,62323673,62337833,62378968,62422853,62449214,62467289,62488793,62518889,62523653,62534489,62537513,62541989,62552153,62572613,62580293,62603813,62619353,62625989,62638889,62641253,62647913,62651993,62668889,62670053,62673113,62677733,62678633,62678789,62789284,62986334,63236000,63741888,63799576,63818575,63890386,64002379,64019728,64053662,64114179,64408195,64430164,64562283,64713285,64716062,65092930,65316850,65489979,65737684,65943216,66162136,66169539,66530514,66589323,67435459,68047576,68142536,68385955,68515580,68586895,68602891,68614862,68842539,68980620,69027504,69222312,69448519,69458968,70011850,70176339,70194684,70277716,70784575,70845699,70896936,70902843,71140500,71142062,71516174,71571736,71709624,71774523,72022194,72206164,72607018,72618639,72753854,73059483,73211416,73579328,73791570,74072604,74133100,74186118,74432403,74442916,74583374,74606290,74751404,75186014,75397204,75760435,75785054,75883200,76015303,76297795,76553523,76582290,76660353,76775842,76981924,77039625,77054307,77095563,77208062,77289834,77443214,77655942,77794862,77875101,77878936,78111516,78141339,78272530,78380220,78711008,78723043,78726254,78865563,79303694,79422207,79759053,79787498,79816276,79902460,80518203,80673327,80674862,80679739,80755876,80809495,80942080,81240062,81249091,81687776,81929535,82004644,82063146,82175600,82218696,82304274,82316116,82362843,82776744,82821235,83244974,83289795,83454943,83565100,83605568,83677336,83793614,84014220,84040040,84070090,84103228,84879535,84941490,84995859,85106404,85368600,85414996,85977451,86975575,87391504,87613803,87741662,87827416,87870442,87949454,88485076,88549884,88720035,88842448,88959720,89286062,89287347,89328723,89527548,89615168,89733308,90009316,90096494,90389335,90582616,90604256,90798062,90912522,90980695,91059840,91262325,91265455,91271980,91431970,91526356,91557354,91788062,91898748,92262963,92277662,92360163,92391387,92447550,92472494,92496033,92989900,93123837,93438014,93533774,93887575,93924019,93927036,93938644,94056264,94137003,94545045,94634704,94671662,94754695,94890368,94952894,95418734,95728171,95837656,95882952,95892303,96039675,96336370,96703934,96951283,96971394,97130496,97170387,97225444,97346480,97430296,97660495,97872062,97879400,98003395,98004130,98032323,98315442,98412004,98490974,98509587,98522011,98610720,98805843,98928734,99003556,99085735,99212170,99221731,99385482,99590722,99879134,99947754,...,17619046850066370600368311862594760803898635110087934932962165696764503339525264995128283122299653385549263136939893156508809635428145138426381007478497601198445637498139319049739738065997661301923749549814452826256890444319014051969843983214144542589906085190716721874267880509962155870359978011166859219985013642421085941571405777102456896582510636691648296917322386495709719127723951227992836463423493323492019633592873747472490655699629954579347903796540377469098190706402571290165873058096309304515279898527060519291937584850089552032803285041761915101976884671691063160281662807324119355260713867517883066405088111677376603998475856674417860869969453146000215395871909073101095930882326669826038671162280941912164139057422377819795311977059364486209420138387578485658134499898692687691595418712843922170931044145407314636567472237000071717872102497734181768606599571880171403894657391572854227787740647792107660681197599944057283125025573400084536441038499173430186919352528451440018351192443887462483054266206753739491780073023762600763431251851545750974120434878832077172975711479471068482223704842358072672556653249346607311390394582797927766510500698359800295727239924012118055083693813976949157161905792752067238414267277409765977632551114301803249271080554639150328145832589174291072065271915706209784719538254646796765156608609546572777613756572109397335001023735955629964960037928203964867247973692215669318971599445624556770758585654273855857559198963900207222369047077432503182609123924142831997074186039108488041725600766765662538747100490376749008193733466745379898953539108520292428213586757438844003372439812122679554824562410375803635574805917261631928432631377265627025187765875063175496150495317286835525560814719091722027391135214241305417044705741905898939992006307375434190760345565196398527473979376428600189546358813448996791748731152062257394464764606470220734151788579895178389365285788704003606241400847352871944867155940113809693271928829521020332748211727547123819047754487616577839502547443310214949591387173248584881583484163131261428429835324764831118769731962511746580591552115450506409795218483582961101976496621753534317064818572743311314233027969874455212389284460097436800315066077660581215052246270463610936456690299381031974694978623806788159508760272213673955452233832904219867102545300741685533046848922365126406172778807214316587542165432492826402205799071079918980624496822820578682117701124678962088774466087817515413146956404418160288077307347388554779573531225845871289}
15835 10831939874192213222899696094082436281015315252518536760926812725: {553805,664566,791150,949380,1012672,1028105,1090821,1139256,1217909,1233726,1281663,1374861,1739870,1942293,2087844,2102597,2671721,2791821,3003710,3100132,3357093,3394205,3427949,3604452,3762542,3903341,3921501,4073046,4089869,4428760,4521374,4530869,4766493,4897070,4982355,5088566,5314512,5375060,5702717,5842670,5876484,5931375,5978826,6326800,6363773,6413582,6425309,6450072,6472670,6605654,6732509,6984926,7010301,7011204,7117650,7256331,7269380,7391909,7592160,7630505,7651556,7767204,8098304,8099405,8319749,8541180,8698637,8709197,8723256,8962293,9110592,9156606,9162260,9446606,9617870,9719286,9805397,9813663,10204862,10249416,10559870,10681349,10769462,10994712,11118989,11508952,11530593,11541444,11703566,11732493,11820644,11837645,11906414,12283941,12369051,12441710,12498473,12671844,12768605,12886541,12947571,13023542,13109493,13801334,14007710,14162345,14205174,14930052,14945801,15157853,15259070,15322326,15413775,15565982,15884270,15986564,16353197,16355332,16441360,16478045,16664421,16702646,16719380,16780709,16809252,16814392,16982381,16994814,17222429,17401805,17863145,18021981,18084749,18203081,18259395,18261332,18307709,18310884,18496530,18605060,18916191,19061124,19274606,19374141,19476688,19608197,19608302,19729632,19773654,19824749,19913493,20048477,20063256,20149316,20720901,20882166,21009413,21082445,21137477,21151262,21365656,21435774,21576809,21726926,21737375,21771197,21911274,22195836,22326072,22519275,22571163,23060126,23131461,23361710,23364760,23621237,24020560,24036363,24177374,24574334,24603470,24697124,24789989,24810941,25116831,25292894,25298934,25448644,25789341,26053941,26084850,26105705,26153870,26285355,26425781,26594357,26845646,27023130,27056909,27112435,27373701,27413176,27823840,28011710,28011860,28034052,28037712,28080173,28159862,28208355,28321070,28339181,28359854,28586861,28739414,28824672,29072654,29119901,29279645,29297597,29524164,29997021,30088912,30153389,30580877,30762173,30805214,30839823,31040301,31101710,31145213,31187126,31214872,31301820,31326846,31384644,31542426,31742654,31820493,32427756,32534922,32618564,32685749,33306761,33388608,33581375,33614052,33614232,33783245,33835982,33850026,33897435,33960446,33985284,34358237,34418909,34628333,35116731,35127305,35135574,35194601,35414270,35518409,35599253,35869181,35876222,35906549,36030557,36157264,36401261,36401534,36714075,36768644,36803273,37049477,37322052,37562184,37816011,38149755,38250845,38269253,38732050,38754741,38997149,39161680,39211382,39213161,39307934,39348233,39515493,39719309,39914621,40027805,40064462,40155423,40217189,40297650,40539894,40676922,40693072,40812437,40915556,41262413,41310533,41314829,41356745,41799209,41853710,42037293,42040397,42152766,42257457,42269582,42497124,42539061,42714532,42984160,43066936,43076270,43104782,43202069,43303589,43564445,43975124,44056890,44191694,44353277,44398526,45089309,45283341,45416375,45604408,45779706,45901014,46478460,46522101,46640105,46994016,47016093,47589902,47613592,47804075,47952845,47958614,48033366,48083595,48247293,48357180,48379133,48416381,48450303,48815273,48826205,48983421,49169870,49199876,49523595,49577024,49615574,49628094,49654277,50215109,50224452,50332555,50391332,51180141,51289168,51295070,51304959,51403574,51418541,51465197,51580992,51691524,51751214,52059062,52277334,52305245,52367055,52392981,52825168,52839077,52844846,52868268,53060372,53196221,53404373,53544197,53565291,53603945,53839576,54390653,54499650,54581597,54775022,54786173,55191352,55331500,55530974,55761245,55774152,55824629,55858192,55862846,55968126,55982309,55999101,56016260,56017262,56237781,56410013,56741870,56771273,56802644,57051305,57166454,57242375,57364890,57471524,57543414,57700314,57745757,57891869,57909545,58028616,58132960,58461917,58591446,58668101,59003844,59428314,59473124,59541629,59560094,59624719,60045686,60057710,60399066,60569523,60709454,60776597,60966021,61020760,61153982,61189216,61554084,61578260,61602134,61602596,61862270,62034819,62090271,62282462,62625269,62710973,62745921,62766294,62840466,63153677,63395453,64059989,64324734,64381912,64655812,64788494,64917093,65282193,65399580,65991005,66360734,66397800,66537749,66605054,66913494,67219512,67369709,67668501,67675805,68090244,68144069,68150564,68401694,68461566,68648355,68690850,68707742,68837868,68872132,68985941,69247862,69332741,69491454,69534902,69759552,70201001,70380206,70536856,70822635,70824320,71249897,71476804,71729246,71735870,71903650,71941359,72069252,72106575,72429651,72793214,73032782,73154872,73182569,73217669,73224912,73270240,73307333,73506221,73521710,73535035,73638029,73850975,73893912,73944461,74234724,74546043,74697525,74771945,74959316,75540795,75544144,75621951,75711653,75937949,75974597,76087661,76116254,76153949,76184261,76426505,76467566,76491710,76507395,76615221,76848989,76870781,76913680,77613614,77663645,77737142,77839755,77973710,78069974,78233573,78381806,78413272,78479496,78486605,78686462,79033973,79045000,79189206,79259789,79278724,79353963,79369022,79385609,79448493,79677360,79749470,79819094,80024660,80323517,80528493,80537705,80576848,80951909,81173901,81210966,81578069,81607888,81935414,81950921,82031421,82075661,82172105,82299231,82378026,82429020,82610462,82702670,82805366,83029072,83098461,83130651,83857949,83897583,84289673,84987162,84989184,85059470,85178170,85251509,85426941,85485572,85591661,85644475,85847493,86083044,86225775,86235773,86272937,86284380,86527890,86823710,86895093,87221942,87319972,87419789,87743355,87790781,87847145,87924288,87937293,88214931,88218413,88226052,88242042,88289433,88352661,88354286,88621170,88707352,88785764,88855022,88925625,89464670,89637030,89726334,89730917,89732201,90008597,90024374,90067997,90257705,90416541,90443861,90648954,90858569,91514270,91620086,91711806,91784189,91790052,91808874,91921709,91974160,92012126,92036672,92058473,92112307,92178149,92296416,92445821,92590755,92666375,92715062,93053645,93196374,93407706,93439255,93480509,93493877,93568452,93592912,93673821,94183926,94246505,94460932,94479501,94481654,94529248,94537124,94854000,94999061,95311949,95405366,95612832,95699364,95835579,96029592,96074462,96080493,96227405,96398789,96645246,96659822,96820334,96824852,96845813,96867053,97074093,97348670,97412644,97639395,97670069,97857773,97975275,98060669,98388760,98460893,98606526,98763472,98914824,99243204,99295862,99473477,99770345,99795771,99878075,...,23492062466755160800491082483459681071864846813450579910616220929019337786033686660171044163066204514065684182586524208678412847237526851235174676637996801597927516664185758732986317421330215069231666066419270435009187259092018735959791977618859390119874780254288962499023840679949541160479970681555812293313351523228114588761874369469942528776680848922197729223096515327612958836965268303990448617897991097989359511457164996629987540932839939439130538395387169958797587608536761720221164077461745739353706531369414025722583446466786069377071046722349220135969179562254750880375550409765492473680951823357177421873450815569835471997967808899223814493292604194666953861162545430801461241176435559768051561549707922549552185409896503759727082636079152648279226851183437980877512666531590250255460558283791896227908058860543086182089962982666762290496136663645575691475466095840228538526209855430472303716987530389476880908263466592076377500034097866779381921384665564573582559136704601920024468256591849949977405688275671652655706764031683467684575002468727667965493913171776102897300948639294757976298273123144096896742204332462143081853859443730570355347334264479733727636319898682824073444925085302598876215874390336089651219023036546354636843401485735737665694774072852200437527776785565721429420362554274946379626051006195729020208811479395430370151675429479196446668031647940839953280050570938619822997298256287559091962132594166075694344780872365141143412265285200276296492062769910004243478831898857109329432248052144650722300801022354216718329467320502332010924977955660506531938052144693723237618115676585125337829919749496906073099416547167738180766407889682175904576841836354169366917021166750900661533993756382447367414419625455629369854846952321740556059607655874531919989341743167245587680460753595198036631972501904800252728478417931995722331641536083009859286352808626960978869051439860237852487047718272004808321867796470495926489541253485079591029238439361360443664282303396165092063672650155437119336729924413619932788516230998113175444645550841681904573113766353108158359642616682328774122069487267341879726957978110614802635328829004712422753091430324415085644037293165940283185712613463249067086754770214108286736328360618147915275587065841375966259971498409050879345013696284898607269645110538959822803393734322247377395798563153501874897038409619088783389553909990435202941065428106558640832662430427438242823601499571949451699288117090020550862608539224213717436409796518073039431374967794495052}
15836 10879584974280384561008459844536271925591602182005674317300780638: {205699,300523,348106,537778,886088,979786,996849,1168978,1186725,1265840,1358026,1424070,1454428,1483978,1519008,1526683,1620499,1644968,1708884,1714243,1833148,1850589,1924306,2112778,2301106,2461603,2589724,2609805,2783792,3019099,3052978,3131766,3178066,3240586,3365578,3574003,3722428,3875165,4309843,4476124,4505565,4650198,4736266,4805936,5108746,5228668,5232778,5406678,5418706,5430728,5535950,5643813,5975626,6037426,6109569,6129283,6309643,6355324,6643140,6718825,6782061,7085578,7086016,7117699,7270066,7345605,7474963,7632849,7822666,7835312,7908500,7971768,8008699,8062590,8363083,8600096,8764005,8801866,8804443,8814726,8968239,9086725,9107026,9347068,9348272,9419323,9490200,9533578,9564445,9620373,9675108,9709005,9769099,9908481,10070333,10122880,10356272,10444978,10477389,10516806,10676475,10904070,11352778,11388240,11452825,11477334,11533906,11631008,11650806,11835466,11949724,12147456,12208808,12355699,12780499,12811770,12959048,12977746,13084884,13337266,13540603,13636426,13665888,13734909,13743390,14054578,14169909,14173906,14378323,14386190,14426805,14578929,14659616,14712593,14775805,14960443,15307293,15374083,15374124,15388592,15422986,15643324,15785923,15839805,15956146,16154193,16378588,16492068,16522699,16723978,16895792,16929499,17018578,17042102,17195146,17263428,17312166,17430346,17479324,17555349,17730966,17859621,18075826,18310066,18485578,18618403,18662565,18694949,18777778,18936499,18940232,19007766,19477426,19535313,19651978,19906736,19983205,20058706,20197363,20406706,20429768,20444165,20551700,20587603,20702001,20820883,20899225,21011565,21017990,21033793,21307761,21362683,21965578,22054099,22138066,22219228,22395078,22412336,22425226,22654666,22659752,22826578,22826665,22888605,22941106,22983489,23256325,23284306,23348973,23569699,23826405,23944099,23979846,23986529,24029308,24345860,24414512,24532998,24651346,24662040,24687499,25053969,25079070,25186645,25213878,25221588,25414832,25492221,25832188,26152699,26234578,26306176,26327798,26364872,26403466,26515978,26551324,26707070,26751008,26874499,27189706,27313013,27391998,27466326,27627868,27744795,27842888,27907590,27916978,28014403,28195978,28581032,28591686,28752778,28911909,28996699,29197066,29205950,29215032,29344099,29412453,29418826,29594448,29660481,29768096,30025700,30027346,30033499,30094884,30223974,30248146,30443683,30783523,30841948,30871405,31073866,31323249,31403146,31637606,31726893,31810805,32048484,32059978,32153661,32223826,32332978,32494429,32496586,32590389,32653363,32866911,32877778,33293754,33489108,33731912,33761083,33800266,34266470,34385788,34590189,34594123,34610386,34706009,34738588,34779800,35014825,35037643,35042565,35047140,35148466,35226643,35352283,35470546,35606438,36030840,36266061,36498268,36531499,36837499,36861501,36905205,37045686,37081003,37178578,37337866,37378736,37383616,37550026,37611140,37683569,37684723,37708978,37814866,37939341,37948401,38172966,38432896,38870563,39018590,39127275,39230805,39278803,39365552,39709906,39903857,39996028,40268469,40534695,40595323,40773205,40932499,40988443,41013706,41117578,41119764,41273266,41387068,41543923,41635978,41661893,41735760,41769128,41846192,42017565,42017790,42051078,42056568,42239793,42427324,42481605,42539781,42667978,42794203,42822226,42847699,43109121,43237008,43284106,43379896,43589083,43608981,43693843,43795786,43902499,43946353,44286246,44356786,44518144,44674699,44818736,44818976,44878022,45118666,45130243,45133368,45196580,45230683,45313712,45679099,45876946,45960805,46207821,46222022,46229578,46365043,46480978,46652565,46780689,46822308,46847432,46952730,46982578,46990269,47076966,47109629,47313639,47367499,47613981,47787403,48064099,48292433,48564643,48641634,48802383,48875918,48927846,48952100,49012123,49189099,49219978,49367986,49762736,49885483,49958578,50082912,50105866,50199589,50421078,50421348,50546866,50704901,50753973,50775039,50866340,50895499,50940669,50977926,51059803,51084106,51141523,51144445,51344563,51665683,51672988,51942883,52099699,52152778,52249546,52486699,52687324,52703361,52904083,52973266,53121405,53261746,53393165,53540564,53693386,53730200,53741266,53784499,53814333,53833670,53998123,54053192,54171466,54174163,54235896,54602301,54793003,54826699,54968905,55152966,55170226,55192603,55290883,55356043,55406986,55960699,55973578,55983078,56049724,56203688,56334173,56343276,56389603,56539363,56584786,56662832,56718748,56746003,56862499,57005510,57148699,57176923,57286666,57591643,57937963,57938506,57964099,57984946,58098075,58322443,58496323,58540978,58633426,58679626,58733246,58742520,58817073,58833499,58910386,58961901,59042803,59268523,59516990,59801323,60096693,60149578,60307699,60377788,60381283,60446475,60468946,60809841,60831499,60832978,60969226,61015383,61039608,61053763,61159603,61201352,61218499,61233043,61290499,61364069,61373334,61429099,61495699,61499845,61508803,61512778,61672603,61719749,61755763,61828786,61846483,61953403,61971280,62029468,62072203,62118643,62188978,62189203,62197699,62230963,62309083,62323843,62393323,62419099,62443723,62484043,62503306,62525803,62558563,62575699,62595499,62632723,62658688,62688124,62690177,62692699,62780565,62989165,63229149,63307978,63404373,63530578,63745686,63841546,63974578,64010513,64044488,64071798,64107466,64111460,64328626,64329724,64476240,64600404,64614405,64657173,64857778,64989706,65296978,65311228,65952778,65962686,66031460,66085335,66101126,66170792,66287541,66289613,66325465,66597789,66734986,66965936,67124146,67299470,67598026,68240188,68406612,68611613,68667826,68669559,68774656,68851521,68922032,68989190,69164375,69177778,69703112,69717690,69811978,69822740,69857308,70020325,70022578,70148746,70316746,70491024,70504742,70568266,70651978,71003305,71069578,71194546,71384853,71406902,71420388,71568586,71775826,71839405,71937921,72050049,72535770,72650438,72666200,72806026,72928978,73010866,73663666,73754805,73799814,74029066,74231506,74341405,74365536,74423361,74442141,74624168,74665468,74983708,75336678,75357778,75557578,75586998,76275950,76486520,76724552,76933752,76942605,76972825,77003245,77105361,77220106,77371488,77537286,77618933,77626821,78088593,78121928,78249853,78416001,78671792,79237752,79267269,79302402,79354546,79590558,79660978,80156746,80477390,80498386,80532088,80611978,80759364,80819765,81252946,81288028,81749475,81814666,81893798,81926578,82072112,82162533,82713092,82787028,82853578,82997250,83148106,83294986,83296461,83514826,83587978,83661228,83688392,83787288,83794269,83843506,83952189,84024390,84025893,84785746,85112805,85145266,85188205,85203966,85574578,85645906,85749681,85766312,85808294,86047335,86090165,86178826,86207286,86315121,86418038,86532106,86550471,86556124,86918866,87042924,87199440,87338578,87582346,87755986,87790666,87887169,87963826,88171070,88205578,88480906,88505766,88530400,88618186,88720978,89142471,89209686,89217992,89300746,89334706,89340141,89346005,89402578,89626016,89639626,89666929,90068529,90086565,90171473,90224668,90245578,90346066,90598599,90735086,90786992,90813106,91064181,91130102,91282088,91343026,91408978,91443590,91531140,91587800,91730973,91783824,91836106,92227978,92325586,92331126,92367390,92403201,92403894,92487946,92655272,92779186,92793405,93012736,93197578,93261706,93423693,93581386,93699145,93835978,94149441,94152778,94260699,94430180,94687666,94718986,94781578,94875346,95000146,95093578,95465866,95558578,95740337,95921812,96021653,96081226,96092336,96142100,96487101,96572868,96720466,96983718,97022386,97082578,97182741,97382578,97633216,97740466,97977778,98016590,98099370,98331826,98525216,98628569,98806250,98945866,98979632,99098405,99394724,99541101,99596700,99724978,99907581,...,35238093700132741200736623725189521607797270220175869865924331393529006679050529990256566244599306771098526273879786313017619270856290276852762014956995202396891274996278638099479476131995322603847499099628905652513780888638028103939687966428289085179812170381433443748535761019924311740719956022333718439970027284842171883142811554204913793165021273383296593834644772991419438255447902455985672926846986646984039267185747494944981311399259909158695807593080754938196381412805142580331746116192618609030559797054121038583875169700179104065606570083523830203953769343382126320563325614648238710521427735035766132810176223354753207996951713348835721739938906292000430791743818146202191861764653339652077342324561883824328278114844755639590623954118728972418840276775156971316268999797385375383190837425687844341862088290814629273134944474000143435744204995468363537213199143760342807789314783145708455575481295584215321362395199888114566250051146800169072882076998346860373838705056902880036702384887774924966108532413507478983560146047525201526862503703091501948240869757664154345951422958942136964447409684716145345113306498693214622780789165595855533021001396719600591454479848024236110167387627953898314323811585504134476828534554819531955265102228603606498542161109278300656291665178348582144130543831412419569439076509293593530313217219093145555227513144218794670002047471911259929920075856407929734495947384431338637943198891249113541517171308547711715118397927800414444738094154865006365218247848285663994148372078216976083451201533531325077494200980753498016387466933490759797907078217040584856427173514877688006744879624245359109649124820751607271149611834523263856865262754531254050375531750126350992300990634573671051121629438183444054782270428482610834089411483811797879984012614750868381520691130392797054947958752857200379092717626897993583497462304124514788929529212940441468303577159790356778730571577408007212482801694705743889734311880227619386543857659042040665496423455094247638095508975233155679005094886620429899182774346497169763166968326262522856859670649529662237539463925023493161183104230901012819590436967165922203952993243507068634129637145486622628466055939748910424778568920194873600630132155321162430104492540927221872913380598762063949389957247613576319017520544427347910904467665808439734205090601483371066093697844730252812345557614428633175084330864985652804411598142159837961248993645641157364235402249357924177548932175635030826293912808836320576154614694777109559147062451691742578}
15837 10927438003084893178358854190156145596963194950724931551848244059: {522159,775327,806667,1107610,1329132,1439347,1469679,1582300,1753467,1818035,1898760,2025344,2037039,2056210,2136105,2181642,2225967,2278512,2291435,2435818,2467452,2563326,2749722,2886459,2956283,3169167,3237155,3451659,3479740,3884586,3998159,4175688,4205194,4567067,4579467,4653035,4697649,4751887,4767099,4860879,5039243,5048367,5343442,5583642,5595155,6007420,6176627,6200264,6535835,6714186,6788410,6855898,6975297,7104399,7208904,7525084,7593547,7663119,7784963,7806682,7843002,7849167,7944155,8110017,8128059,8146092,8179738,8303925,8353439,8857520,8963439,9042748,9056139,9061738,9195659,9298543,9532986,9794140,9885625,9964710,10177132,10232783,10628367,10629024,10682707,10750120,10905099,11339167,11405434,11683835,11685340,11733999,11752968,11862750,11957652,12093885,12602627,12653600,12727546,12827164,12850618,12900144,12945340,13202799,13211308,13222089,13465018,13660539,13969852,14020602,14022408,14206067,14235300,14300367,14512662,14538760,14783818,14873939,14937155,15184320,15261010,15303112,15406523,15534408,15667467,15775209,15808283,16196608,16198810,16356105,16572703,16639498,17029167,17044127,17082360,17216001,17300859,17397274,17418394,17446512,17476209,17753199,17876047,17924586,18221184,18313212,18324520,18746963,18893212,19009043,19212659,19217655,19235740,19438572,19466619,19554155,19610794,19627326,19827283,19831747,20005899,20409724,20454639,20473235,20498832,20615085,21081867,21119740,21260859,21362698,21482243,21538924,21579285,21849155,21989424,22204907,22237978,23017904,23061186,23069263,23082888,23134479,23407132,23464986,23624239,23641288,23675290,23801003,23812828,23934219,24362527,24567882,24738102,24883420,24996946,25008403,25085967,25343688,25527867,25537210,25563153,25689625,25773082,25792719,25895142,25968249,26047084,26145519,26218986,26596449,26946539,27113739,27465099,27602668,27728367,27774035,28015420,28166667,28324690,28410348,28511649,29216139,29477967,29515423,29860104,29891602,30030479,30036635,30088059,30315706,30348323,30432325,30518140,30610059,30644652,30808943,30827550,31131964,31526985,31768540,31973128,31976347,32290235,32402483,32689903,32706394,32710664,32882720,32948367,32956090,33185659,33189155,33207099,33328842,33405292,33438760,33561418,33592617,33618504,33628784,33637839,33868043,33964762,33981999,33989628,34239867,34411659,34444858,34534835,34803610,34926459,35522923,35603779,35726290,35969769,36043962,36169498,36406162,36518790,36522664,36525707,36547987,36615418,36621768,36799497,36807979,36977019,36993060,37210120,37532125,37618605,37820817,37832382,37957409,38067803,38122248,38515423,38549212,38552435,38748282,38953376,39002107,39200867,39216394,39216604,39351867,39459264,39491697,39547308,39605199,39649498,39694643,39773967,39826986,40060605,40096954,40126512,40298632,40784559,40991503,41087997,41199489,41267659,41408239,41441802,41764332,41861385,41875467,42018826,42164890,42274954,42293967,42302524,42478627,42731312,42871548,42887529,42982235,43129167,43153618,43423235,43453852,43474750,43542394,43622063,43795599,43808925,43822548,44013563,44128239,44188379,44391672,44652144,44948623,45038550,45041019,45142326,45227299,45309487,45335961,45372219,45622835,46017827,46120252,46262922,46610799,46716763,46723420,46729520,47013925,47104719,47242474,47252879,47296543,47456409,47595563,48041120,48072726,48089967,48335739,48354748,48499467,48744879,48821539,49148668,49178227,49206940,49316667,49394248,49579978,49621882,49940631,49995035,50233662,50585788,50597868,50700399,50747363,50897288,51399705,51578682,51733835,51915579,52107882,52169700,52211410,52307740,52570710,52722699,52851562,53034155,53188714,53205819,53409657,53551183,53691292,54046260,54113818,54224870,54747402,54826352,55568529,55647680,55767867,56006799,56023420,56023720,56038927,56068104,56075424,56160346,56319724,56325039,56416710,56495725,56563467,56642140,56678362,56719708,56722299,57173722,57175339,57259449,57478828,57649344,57899443,58145308,58239802,58527885,58559290,58595194,59048328,59055439,59564859,59994042,60081659,60100127,60177824,60306778,60990223,61079183,61161754,61190125,61520559,61524346,61610428,61676367,61679646,61728223,61909899,62080602,62203420,62235539,62260883,62290426,62374252,62429744,62453967,62568463,62603640,62653692,62769288,63026685,63076617,63084852,63114259,63305603,63485308,63582925,63640986,64001967,64233339,64591235,64855512,64926159,65061359,65069844,65237128,65296147,65371498,65693679,65859155,66429369,66432923,66535179,66613522,66666379,66777216,66925705,67133983,67162750,67228104,67228464,67317033,67509103,67566490,67671964,67677999,67700052,67794870,67920892,67970568,68356687,68716474,68815419,68837818,69256666,69333033,69344367,69721467,70062155,70233462,70254610,70271148,70389202,70429095,70465577,70473867,70615449,70828540,70898435,71036818,71114723,71198506,71738362,71752444,71813098,72061114,72314528,72659339,72802522,72803068,72962451,73227343,73313877,73391769,73428150,73537288,73606546,73829967,74051979,74098954,74644104,74921899,74937867,74961359,75045523,75124368,75158799,75472235,75631617,75632022,75749363,75820299,75947003,76163683,76299510,76466889,76501690,76538506,76626159,77339987,77464100,77509482,77536835,77994298,78065743,78229167,78323360,78360155,78374319,78422764,78426322,78615868,78696466,78869807,78899183,79030986,79044079,79438618,79459899,79618747,79829242,79871827,79892619,80055610,80128924,80139325,80310846,80412155,80434378,80540079,80544523,80595300,80611899,80750505,81073363,81079788,81130139,81257199,81353844,81386144,81624874,81639035,81792283,81831112,82524826,82539325,82621066,82629658,82713490,82729449,82755339,83110479,83498579,83598418,83707420,83951099,83960367,83974617,84074586,84080794,84305532,84514914,84539164,84877179,84994248,85078122,85300235,85429064,85508265,85557487,85929999,85968320,86133872,86152540,86209564,86404138,86607178,86635939,86907759,86977419,87128890,87278425,87321635,87430963,87811467,87950139,87950248,88019439,88099869,88113780,88365579,88383388,88706554,88797052,89275485,90178618,90224367,90475663,90566682,90703419,90832750,90870187,91208816,91249467,91275227,91453839,91559412,91802028,92060001,92269167,92387407,92419919,92457859,92743179,92772643,92817467,92956920,93044202,93280210,93283467,93331835,93553163,93729635,93754959,93853619,93988032,94032186,94067999,94358483,94523759,94746127,94961967,95179804,95227184,95295867,95587523,95608150,95618529,95762319,95905690,95917228,95961867,96066732,96107697,96161199,96167190,96279583,96492939,96494586,96714360,96758266,96832762,96900606,97286667,97484559,97630546,97652410,97852639,97945467,97966842,98339740,98399752,98929167,98931023,98944029,99047190,99151689,99154048,99231148,99256188,99308554,99364859,...,52857140550199111801104935587784282411695905330263804798886497090293510018575794985384849366898960156647789410819679469526428906284435415279143022435492803595336912494417957149219214197992983905771248649443358478770671332957042155909531949642433627769718255572150165622803641529886467611079934033500577659955040927263257824714217331307370689747531910074944890751967159487129157383171853683978509390270479970476058900778621242417471967098889863738043711389621132407294572119207713870497619174288927913545839695581181557875812754550268656098409855125285745305930654015073189480844988421972358065782141602553649199215264335032129811995427570023253582609908359438000646187615727219303287792646980009478116013486842825736492417172267133459385935931178093458628260415162735456974403499696078063074786256138531766512793132436221943909702416711000215153616307493202545305819798715640514211683972174718562683363221943376322982043592799832171849375076720200253609323115497520290560758057585354320055053577331662387449162798620261218475340219071287802290293755554637252922361304636496231518927134438413205446671114527074218017669959748039821934171183748393783299531502095079400887181719772036354165251081441930847471485717378256201715242801832229297932897653342905409747813241663917450984437497767522873216195815747118629354158614763940390295469825828639718332841269716328192005003071207866889894880113784611894601743921076647007956914798336873670312275756962821567572677596891700621667107141232297509547827371772428495991222558117325464125176802300296987616241301471130247024581200400236139696860617325560877284640760272316532010117319436368038664473687231127410906724417751784895785297894131796881075563297625189526488451485951860506576682444157275166082173405642723916251134117225717696819976018922126302572281036695589195582421938129285800568639076440346990375246193456186772183394293819410662202455365739685535168095857366112010818724202542058615834601467820341429079815786488563060998244635182641371457143263462849733518507642329930644848774161519745754644750452489393784285289505974294493356309195887535239741774656346351519229385655450748883305929489865260602951194455718229933942699083909623365637167853380292310400945198232981743645156738811390832809370070898143095924084935871420364478526280816641021866356701498712659601307635902225056599140546767095379218518336421642949762626496297478479206617397213239756941873490468461736046353103374036886266323398263452546239440869213254480864231922042165664338720593677537613867}
15838 10975499860913956608696228744928116632272772966928253809657696455: {411398,458461,601046,647677,696212,742177,1075556,1119457,1401661,1589437,1661415,1683217,1772176,1959572,1977875,1993698,2337956,2373450,2531680,2617057,2716052,2848140,2908856,2967956,2988577,3038016,3053366,3081277,3084315,3240998,3272463,3289936,3417768,3428486,3653727,3666296,3701178,3844989,3848612,4004317,4124583,4188061,4225556,4349675,4602212,4828897,4923206,5179448,5219610,5425231,5567584,5826879,6038198,6105956,6263532,6307791,6356132,6481172,6731156,7088797,7148006,7356961,7444856,7509275,7750330,7802461,8015163,8375463,8619686,8688061,8952248,9011130,9300396,9406355,9472532,9611872,10071279,10182615,10217492,10263997,10283847,10457336,10465556,10611037,10813356,10837412,10861456,11071900,11287626,11303435,11473597,11710023,11764503,11951252,12074852,12219138,12242675,12258566,12269607,12328957,12619286,12710648,12721415,13177117,13261537,13286280,13390223,13437650,13564122,13592607,14018077,14101777,14171156,14172032,14235398,14299479,14435857,14540132,14606675,14691210,14947065,14949926,15265698,15645332,15670624,15817000,15943536,16017398,16033955,16088977,16125180,16170877,16181675,16514135,16726166,17108151,17200192,17309917,17462315,17528010,17603732,17608886,17629452,17793757,17794125,17936478,18173450,18214052,18594397,18694136,18696544,18753661,18838646,18912637,18980400,19067156,19091319,19128890,19150561,19240746,19275927,19350216,19418010,19538198,19816962,20140666,20197527,20245760,20564497,20686127,20712544,20875537,20889956,20954778,21030903,21033612,21352950,21648097,21768993,21808140,22175727,22705556,22776480,22891515,22905650,22954668,23067812,23262016,23301612,23616515,23670932,23899448,24044675,24294912,24298215,24417616,24711398,24858119,24959247,25109137,25512155,25560998,25623540,25918096,25955492,26095911,26127591,26132257,26169768,26399675,26566417,26674532,26854417,26886879,26923655,27081206,27272852,27331776,27426961,27469818,27486780,27640477,27976487,28109156,28136161,28339818,28347812,28621831,28628317,28698337,28756646,28772380,28853610,29157858,29186461,29258915,29319232,29325277,29416191,29425186,29440989,29551610,29766035,29920886,30614586,30748166,30748248,30777184,30845972,31104275,31286648,31571846,31574161,31679610,31707937,31912292,31957331,32041117,32044047,32308386,32438557,32558855,32702077,32757176,32984136,33045398,33356967,33447956,33791584,33858998,34037156,34084204,34194961,34390292,34503335,34514461,34526856,34591779,34624332,34641757,34860692,34958648,35019275,35110698,35197479,35261303,35336737,35461932,35512935,35587297,35719242,35774461,36151652,36317303,36393661,36516637,36620132,36851823,36883837,36971156,37107153,37236806,37308961,37325130,37389898,37490077,37495419,37555556,37790497,37872998,37880464,37910161,38015532,38147675,38305815,38402507,38659623,38842713,38914955,38954852,39070626,39303956,39328479,39710675,39813472,39966410,40117412,40129057,40356577,40394726,40813412,40859536,40888330,41103400,41175206,41366161,41404002,41641766,41756615,41798450,41807377,41916961,42023130,42035980,42067586,42487035,42615522,42725366,42836797,43103377,43219967,43683517,43931156,44108198,44276132,44438456,44535127,44715997,44790156,44824672,44837403,44850452,45070561,45309332,45319504,45471457,45473559,45653156,45653330,45719677,45777210,45882212,45966978,46161937,46241325,46512650,46568612,46646497,46697946,46790461,47139398,47406817,47652810,47733661,47888198,47959692,47973058,48058616,48186515,48422161,48557917,48691720,48829024,49005757,49020755,49059591,49065996,49182877,49302692,49314961,49324080,49374998,49434135,49533661,49965661,49993263,50107938,50158140,50263777,50342127,50373290,50427756,50443176,50829664,50947143,50984442,51136957,51664376,51667287,51936599,52205415,52212961,52305398,52469156,52483357,52612352,52655596,52674337,52729744,52806932,52878155,53031956,53102648,53414140,53502016,53529661,53589435,53748998,54065943,54254247,54317315,54379412,54416161,54609243,54626026,54758161,54778185,54783996,54923127,54932652,55026577,55159057,55255736,55396583,55485217,55489590,55517437,55685776,55740961,55815180,55833956,55898461,56028806,56105423,56115937,56269117,56391956,56748573,56863837,56892817,57082487,57162064,57183372,57290977,57505556,57593917,57648061,57650315,57823818,57993398,58122423,58224637,58394132,58404275,58411900,58430064,58622077,58688198,58824591,58824906,58837652,58954717,58977937,59188896,59206177,59320962,59326787,59361661,59474247,59536192,59740479,60047137,60051400,60054692,60066998,60086161,60144157,60145431,60189768,60276961,60443435,60447948,60496292,60887366,60920317,60968161,61227037,61410961,61435835,61508675,61518097,61567046,61608061,61683896,61742810,61811857,61823197,61867837,61900561,62147732,62162703,62209297,62234461,62491537,62567677,62572177,62613217,62646498,62658577,62673697,62684317,62702461,62710237,62710561,62806292,63028239,63232235,63247335,63275212,63412431,63453786,63621610,64096968,64119956,64307322,64345127,64447652,64665956,64730427,64988858,64993172,65180778,65212125,65306726,65313591,65384675,65733822,65755556,66587508,66978216,67114115,67463824,67522166,67557825,67600532,67713489,67899887,68532940,68771576,69180378,69188246,69220772,69394383,69412018,69477176,69559600,70029275,70029650,70075286,70085130,70094280,70296932,70399655,70453286,70704566,70802675,70863711,70899635,70941092,71212876,71602223,71848535,72061680,72109089,72532122,72681635,72996536,73062998,73674998,73723002,73810410,74088391,74091372,74162006,74357156,74369967,74432823,74675732,74750431,74757472,74767232,75100052,75222280,75350493,75367138,75369446,75417956,75629732,75878682,75896802,76345932,76865792,76956467,77013035,77368023,77561531,77741126,77754275,77967815,78037180,78161823,78254550,78317115,78461610,78557606,78731104,78856065,79277343,79356635,79419812,79783071,79807714,79992056,80536938,81069390,81170727,81190646,81337305,81546410,81864998,81976886,82027412,82066919,82121103,82235156,82239528,82546532,82774136,83087846,83271956,83323786,83471520,83538256,83692384,84035130,84035580,84102156,84113136,84240519,84479586,84589955,84625065,84854648,84901115,84963210,85017543,85079562,85335956,85588406,85644452,85695398,85760583,86099783,86218242,86474016,86568212,86759792,87178166,87217962,87359703,87387686,87591572,87804998,87838935,87892706,87892791,88184831,88535675,88572492,88713572,89036288,89349398,89637472,89637952,89690555,89756044,89991063,90237332,90260486,90266736,90393160,90460167,90461366,90627424,91003835,91358198,91742631,91753892,91921610,92286519,92415642,92444044,92459156,92477099,92519469,92730086,92855651,92961956,93120903,93305130,93435639,93561378,93644616,93694864,93905460,93965156,93980538,94153932,94219258,94627278,94734998,95227962,95461479,95574806,96128198,96584866,96830125,97129286,97283268,97604766,97751836,97855692,97904200,98024246,98028455,98057247,98269835,98378198,98439956,98735972,99404627,99525472,99770966,99917156,99920283,...,70476187400265482401473247450379043215594540440351739731848662787058013358101059980513132489198613542197052547759572626035238541712580553705524029913990404793782549992557276198958952263990645207694998199257811305027561777276056207879375932856578170359624340762866887497071522039848623481439912044667436879940054569684343766285623108409827586330042546766593187669289545982838876510895804911971345853693973293968078534371494989889962622798519818317391615186161509876392762825610285160663492232385237218061119594108242077167750339400358208131213140167047660407907538686764252641126651229296477421042855470071532265620352446709506415993903426697671443479877812584000861583487636292404383723529306679304154684649123767648656556229689511279181247908237457944837680553550313942632537999594770750766381674851375688683724176581629258546269888948000286871488409990936727074426398287520685615578629566291416911150962591168430642724790399776229132500102293600338145764153996693720747677410113805760073404769775549849932217064827014957967120292095050403053725007406183003896481739515328308691902845917884273928894819369432290690226612997386429245561578331191711066042002793439201182908959696048472220334775255907796628647623171008268953657069109639063910530204457207212997084322218556601312583330356697164288261087662824839138878153018587187060626434438186291110455026288437589340004094943822519859840151712815859468991894768862677275886397782498227083034342617095423430236795855600828889476188309730012730436495696571327988296744156433952166902403067062650154988401961506996032774933866981519595814156434081169712854347029755376013489759248490718219298249641503214542299223669046527713730525509062508100751063500252701984601981269147342102243258876366888109564540856965221668178822967623595759968025229501736763041382260785594109895917505714400758185435253795987166994924608249029577859058425880882936607154319580713557461143154816014424965603389411487779468623760455238773087715318084081330992846910188495276191017950466311358010189773240859798365548692994339526333936652525045713719341299059324475078927850046986322366208461802025639180873934331844407905986487014137268259274290973245256932111879497820849557137840389747201260264310642324860208985081854443745826761197524127898779914495227152638035041088854695821808935331616879468410181202966742132187395689460505624691115228857266350168661729971305608823196284319675922497987291282314728470804498715848355097864351270061652587825617672641152309229389554219118294124903383485156}
15839 11023771451943422471652900766920202917434295326673503500232527599: {617097,870265,901569,1044318,1344445,1550654,1613334,1913857,2215220,2449465,2545249,2658264,2878694,2922445,2939358,2990547,3164600,3208009,3304081,3395065,3493789,3506934,3560175,3636070,3709945,3797520,4050688,4074078,4112420,4272210,4363284,4451934,4532017,4557024,4580049,4582870,4725097,4810765,4861497,4871636,4934904,5104369,5126652,5142729,5281945,5386777,5499444,5551767,5752765,5772918,5912566,5955469,6338334,6426937,6474310,6514249,6903289,6903318,6959480,7119937,7384809,7632445,7769172,7829415,7833217,7945165,7996318,8101465,8321857,8351376,8410388,8413945,8700841,9057297,9134134,9150169,9158934,9306070,9395298,9503774,9534198,9721758,10078486,10096734,10529929,10579657,10686884,10722009,10867597,11121817,11167284,11190310,11615857,11625495,11840665,12014840,12093289,12353254,12400528,12771865,12929529,13071670,13081945,13428372,13516695,13546765,13576820,13685881,13711796,13839875,13950594,14085289,14208798,14417808,14939065,15050168,15093565,15187094,15326238,15408481,15569926,15599497,15613364,15686004,15698334,15877369,15888310,16220034,16256118,16292184,16344157,16357369,16359476,16607850,16706878,16784977,16924429,16931439,17472697,17668081,17713945,17715040,17926878,18085496,18112278,18123476,18175165,18207709,18328707,18387849,18391318,18597086,18928929,19065972,19544509,19556665,19588280,19661449,19771250,19929420,20039857,20156475,20346183,20354264,20465566,20912017,21245401,21256734,21258048,21353097,21365414,21500240,21810198,22004665,22036815,22207729,22424889,22678334,22767565,22810868,22898547,22963777,23367670,23370680,23467998,23505936,23725500,23804029,23833945,23909437,23915304,24026097,24187770,24269209,24817249,25089249,25205254,25307200,25455092,25654328,25697881,25701236,25800288,25890680,26112445,26292015,26405598,26413329,26422616,26444178,26601121,26904717,26930036,27063817,27260175,27321078,27375817,27859981,27939704,28041204,28044816,28257969,28381945,28412134,28470600,28594129,28600734,28662529,28693335,28769257,28804921,28834765,28861119,29025324,29077520,29127015,29307297,29567636,29588665,29725443,29747878,29874310,30034297,30210999,30368640,30522020,30588817,30606224,30812881,30813046,30883789,31068816,31153177,31334934,31432167,31550418,31616566,31828729,32029425,32193169,32393216,32397620,32406601,32444365,32712210,33145406,33278996,33315229,33343165,34058334,34088254,34091065,34164720,34211881,34358475,34432002,34601718,34637137,34794548,34836788,34893024,34952418,35136445,35434765,35506398,35752094,35849172,35965475,36039721,36410569,36442368,36626424,36649040,37058929,37067097,37493926,37786424,37854889,38018086,38072641,38341497,38425318,38435310,38471480,38557465,38877144,38883649,38933238,38955697,39108310,39205849,39221588,39254652,39358237,39654566,39663494,39890365,39924769,40011798,40025869,40227457,40621809,40819448,40822849,40909278,40946470,40997664,41204727,41230170,41325337,41809945,42051289,42163734,42239480,42509727,42521718,42546445,42605255,42725396,42964486,42987865,43077848,43134969,43158570,43213057,43280415,43575865,43627609,43698310,43736787,43978848,44137779,44193997,44327415,44364601,44409814,44475956,44881329,45100777,45189565,45206329,45775165,45781297,45921879,46023709,46035808,46039081,46122249,46122372,46138526,46165776,46213945,46268958,46464817,46814264,46929972,46944445,47248478,47282576,47350580,47357769,47383897,47519415,47601649,47602006,47625656,47868438,48127357,48348769,48462579,48693565,48725054,49129945,49135764,49178329,49404529,49476204,49568097,49766840,49993892,50016806,50146765,50171934,50687376,50788497,51016765,51055734,51074420,51126306,51278749,51379250,51431689,51546164,51585438,51790284,51936498,52016029,52094168,52291038,52437972,52544975,52666047,53192898,53195041,53578863,53690809,53893078,53973409,54086857,54227478,54913945,54930198,55205336,55345165,55456734,55548070,55855209,55987695,56030840,56063065,56084847,56333334,56424577,56636665,56649380,56717641,56809497,56820696,57023298,57066445,57352765,57760489,58210765,58432278,58605939,58955934,59030846,59564521,59720208,59783204,59949615,60060958,60073270,60107809,60175129,60176118,60592089,60631412,60696646,60792529,60864650,61036280,61220118,61289304,61332495,61617886,61628365,61655100,61762809,62106003,62243497,62263928,62416057,62462649,62697675,63034695,63053970,63101379,63169801,63313729,63537080,63835357,63871969,63923283,63946256,63952694,64088049,64580470,64804966,65379806,65412788,65421328,65586445,65765440,65819495,65896734,65912180,66008665,66063481,66162297,66289945,66371318,66378310,66414198,66554737,66657684,66767675,66810584,66877520,67122836,67185234,67237008,67257568,67275678,67671181,67736086,67929524,67963998,67974265,67979256,68048497,68479734,68479995,68665815,68823318,68889716,68950467,69069670,69564289,69607220,69768975,69792445,69852918,69993049,70046919,70489945,70709097,70753321,70769689,71005597,71045846,71207558,71452580,71479215,71643457,71832297,71881945,71939538,71959587,72087924,72184489,72338996,72427369,72812324,72992665,73014875,73037580,73045328,73051414,73095974,73230836,73243536,73547065,73598994,73615958,73954038,73963369,73986120,74062497,74239357,74247817,74248561,74420240,75064250,75068365,75161907,75237210,75559935,75620365,75641634,75664764,75759049,75914818,75957337,76135606,76203697,76244496,76476663,76890697,77030846,77098424,77104870,77496564,77684665,77906752,78004214,78401734,78432788,78433208,78458097,78507865,78703734,78909457,78918528,78983394,79094015,79094616,79210398,79298996,79389286,79481161,79547934,79653972,80121210,80149945,80193908,80253024,80344009,80559565,80597264,80623497,80832445,80873881,80973457,81241465,81569118,81598897,81939039,81983006,82006657,82036621,82175994,82194445,82398978,82535318,82816478,82883604,83234385,83271169,83509297,83528664,83722770,83750934,84037652,84043209,84140881,84147457,84329780,84500665,84549908,84587934,84605048,84957254,85462624,85613497,85666175,85743096,85771081,85775058,85964470,86258334,86307236,86438809,86513641,86525965,86725321,86735727,86846470,86907704,86949500,86990097,87084788,87244126,87591198,87617850,87645096,87724417,87871165,87967837,88027126,88032297,88237359,88256478,88376758,88590697,88676365,88783344,88915609,88981443,89016095,89304288,89753809,89755549,89897246,90077100,90082038,90100497,90284652,90427729,90454598,90618974,90671922,90744438,90972937,91245670,91331049,91801309,91969249,92035654,92202817,92240504,92350569,92525844,92614215,92946445,93221598,93244489,93344665,93431161,93433526,93446840,93459040,93517729,93565417,93695987,93875065,93969747,94027850,94209438,94272445,94484948,94505758,94537165,94593086,94912818,95023297,95180679,95191126,95432415,95506081,95599741,96082240,96145452,96179934,96424777,96460983,96671478,96709496,96870577,96998934,97483287,97489758,97546475,97643078,97771167,97960089,98087017,98297336,98356454,98411137,98413880,98600733,98633334,98788496,99075601,99159956,99243764,99257809,99274765,99499249,99881262,99990070,...,105714281100398223602209871175568564823391810660527609597772994180587020037151589970769698733797920313295578821639358939052857812568870830558286044870985607190673824988835914298438428395985967811542497298886716957541342665914084311819063899284867255539436511144300331245607283059772935222159868067001155319910081854526515649428434662614741379495063820149889781503934318974258314766343707367957018780540959940952117801557242484834943934197779727476087422779242264814589144238415427740995238348577855827091679391162363115751625509100537312196819710250571490611861308030146378961689976843944716131564283205107298398430528670064259623990855140046507165219816718876001292375231454438606575585293960018956232026973685651472984834344534266918771871862356186917256520830325470913948806999392156126149572512277063533025586264872443887819404833422000430307232614986405090611639597431281028423367944349437125366726443886752645964087185599664343698750153440400507218646230995040581121516115170708640110107154663324774898325597240522436950680438142575604580587511109274505844722609272992463037854268876826410893342229054148436035339919496079643868342367496787566599063004190158801774363439544072708330502162883861694942971434756512403430485603664458595865795306685810819495626483327834901968874995535045746432391631494237258708317229527880780590939651657279436665682539432656384010006142415733779789760227569223789203487842153294015913829596673747340624551513925643135145355193783401243334214282464595019095654743544856991982445116234650928250353604600593975232482602942260494049162400800472279393721234651121754569281520544633064020234638872736077328947374462254821813448835503569791570595788263593762151126595250379052976902971903721013153364888314550332164346811285447832502268234451435393639952037844252605144562073391178391164843876258571601137278152880693980750492386912373544366788587638821324404910731479371070336191714732224021637448405084117231669202935640682858159631572977126121996489270365282742914286526925699467037015284659861289697548323039491509289500904978787568570579011948588986712618391775070479483549312692703038458771310901497766611858979730521205902388911436459867885398167819246731274335706760584620801890396465963487290313477622781665618740141796286191848169871742840728957052561633282043732713402997425319202615271804450113198281093534190758437036672843285899525252992594956958413234794426479513883746980936923472092706206748073772532646796526905092478881738426508961728463844084331328677441187355075227734}
15840 11072253684233252839040555923292535541844930568888299949569974970: {268991,363791,490079,584711,679271,822796,836711,916922,1056791,1150991,1202092,1245119,1295354,1392424,1484354,1566477,1589639,1620911,1683431,1714679,1777151,2151112,2238914,2325981,2420001,2462231,2710391,2769025,2803319,2803322,2988959,3019871,3081671,3112559,3178874,3297719,3322830,3366434,3544352,3636431,3728639,3919144,3955750,3987396,4004831,4219199,4318041,4372079,4409037,4675912,4746900,4859951,5063360,5140525,5234114,5260401,5376071,5432104,5454105,5678591,5696280,5769191,5817712,5859719,5935912,5977154,6010439,6076032,6089545,6106732,6111117,6130871,6162554,6168630,6191039,6408315,6481996,6544926,6579872,6677901,6761039,6835536,6856972,6874305,6910559,7030031,7119551,7179191,7307454,7332592,7357919,7402356,7536359,7689978,7697224,7803479,7981199,8008634,8249166,8276759,8376122,8451112,8600951,8659377,8689199,8699350,8718599,8806751,8868849,9129359,9204424,9246431,9334151,9507501,9657794,9711465,9742559,9829871,9846412,9917111,10354977,10358896,10439220,10467959,10512985,10612439,10727879,10850462,10871999,11073431,11135168,11159639,11417831,11653758,11846711,11994477,12076396,12160079,12211912,12358991,12415751,12527064,12615582,12712264,12840431,12962344,13168897,13207031,13358605,13462312,13600319,13701201,13738401,13959105,14092947,14177594,14187311,14255661,14296012,14301297,14437799,14582637,14713922,14798471,14889712,14964479,15018550,15019751,15102599,15117729,15145101,15500660,15604922,15680519,15790199,15824809,16030326,16036511,16118471,16254911,16336679,16445591,16527191,16750926,16785465,16971025,17139745,17177399,17239372,17376122,17393111,17581439,17742551,17809981,17904496,18022260,18224159,18529881,18596951,18600792,18623519,18676631,18756239,18782759,18812710,18862271,18941711,18945064,18994631,19179599,19223744,19516705,19607505,19705919,20142558,20333279,20365230,20434984,20449345,20527994,20567694,20593319,20645231,20723039,20878439,20904311,20914672,20925891,20931112,21136799,21222074,21313197,21420071,21497159,21626712,21674824,21722912,22143800,22264079,22447537,22575252,22606870,22654345,22746071,22780641,22947194,22989357,23023799,23119789,23354889,23420046,23529006,23547501,23576351,23626391,23832465,23902504,24000671,24149704,24330051,24384177,24438276,24447241,24447431,24485350,24517132,24539214,24657914,24694511,24768479,24911775,25060317,25063631,25137239,25238572,25406519,25421296,25442830,25650479,26160191,26208551,26354234,26523074,26570231,26572560,26780446,26875300,26882231,26890317,27128244,27168417,27185214,27586977,27668159,27810119,27895629,28036154,28203554,28342312,28344064,28470796,28513585,28598958,28632479,28655831,28725839,28871714,28981919,29080264,29190719,29213350,29213879,29352671,29377777,29382420,29468111,29560319,29656875,29894130,29899852,30088031,30156551,30247799,30498071,30531396,30698349,30837791,30995711,31290664,31341248,31601159,31634000,31818865,31885101,31887072,31934999,32001551,32034796,32048121,32067910,32068031,32126545,32134439,32177954,32244959,32250360,32341754,32363350,32509391,32706959,32715297,32903879,33028270,33056591,33063121,33382511,33452332,33662545,33685079,33814271,33878759,34017501,34216302,34328159,34400384,34619834,34646999,34924630,35027231,35051505,35056020,35090351,35201997,35207464,35217772,35237351,35258904,35363039,35404871,35587514,35588250,35613551,35675999,35717017,35800679,35872956,35904359,36275951,36281655,36346900,36419759,36428104,36481271,36542711,36848831,36889511,36959545,37092431,37132919,37188794,37388272,37393088,37395311,37507322,37677292,37693117,37696391,37807881,37825274,37960800,38134312,38152525,38182638,38257780,38301122,38481492,38510159,38551854,38628119,38700432,38706599,38836020,38921759,38999759,39076396,39329831,39608397,39633924,39666267,39676799,39849311,40154399,40268279,40281332,40325111,40395054,40476311,40491520,40497025,40645799,40720919,40926839,40962481,40981617,40982831,41113199,41128994,41372254,41372759,41391239,41425088,41501951,41593991,41598745,41649119,41672449,41751074,41777471,41779912,41909556,41941919,42061806,42067224,42196439,42359231,42618201,42705900,42736559,42843719,42861551,42897191,42901101,42920449,43287119,43296194,43339991,43493185,43533239,43537986,43545985,43616280,43708079,43812599,44176151,44351454,44382311,44433671,44621817,44723351,44811465,44841959,44892671,45145151,45195431,45245639,45384781,45411112,45478991,45495599,45552960,45582397,45727271,45776711,45783030,45811300,45909336,46022831,46135624,46185911,46219569,46412879,46524032,46603224,46622231,46702391,46814279,46909871,47002401,47233030,47325627,47341864,47367839,47414831,47424849,47461751,47508599,47570951,47757239,47798896,47803631,48089350,48304669,48430439,48581279,48589824,48596430,48835232,49026985,49028999,49068315,49206071,49279511,49338119,49422796,49542239,49716238,49718109,49888511,49918494,49974359,50031431,50145191,50218274,50314871,50622959,50664671,50734031,51024310,51087501,51121996,51132381,51159599,51186791,51247080,51443519,51483791,51590831,51648003,51684071,51836192,51902577,51910984,51987671,52118351,52191822,52222319,52255182,52264514,52299959,52339536,52428627,52492799,52505591,52799350,52885631,52948271,53072951,53132834,53259597,53349064,53368919,53406745,53624111,53628141,53708834,53773758,53792279,53828111,53847310,53911439,53947031,54041591,54123911,54159071,54162412,54217511,54252479,54480937,54495239,54541079,54545704,54663552,54700511,54779639,54813431,54853922,54939636,54973560,55070111,55268039,55280954,55376879,55474151,55506431,55594945,55719791,55762079,55909079,55952974,56218312,56240889,56272322,56279879,56310311,56411231,56441351,56580959,56620559,56679636,56695624,56728799,56787431,56884511,56903831,56961599,56999951,57027129,57199199,57217991,57243662,57255479,57256634,57396674,57513292,57544760,57559871,57614279,57637977,57652965,57707220,57749039,57802439,57960911,57978359,58013159,58142519,58236239,58315716,58372922,58399857,58459261,58511591,58517830,58638464,58650554,58662465,58802039,58832382,58850372,58857311,58881978,58966679,59066831,59082119,59103220,59150519,59180711,59188225,59217037,59240711,59314991,59381159,59417639,59481849,59489999,59495241,59532070,59568671,59597039,59639351,59757671,59805719,59826191,59839799,59841772,60017697,60105239,60195119,60239471,60295919,60314591,60333191,60351719,60479399,60497351,60562559,60620999,60684359,60769199,60791519,60841271,60884951,60981359,61033799,61080311,61121111,61136279,61186319,61211039,61229172,61245311,61326911,61363917,61379617,61419705,61429079,61451759,61496332,61496496,61531751,61536119,61544831,61554368,61562159,61621799,61625999,61683959,61691944,61700231,61708319,61720391,61779671,61837151,61845255,61863359,61881839,61914599,61981631,62019119,62058911,62068679,62087999,62097551,62135039,62147279,62174351,62197871,62208550,62223719,62226551,62268071,62338271,62448671,62467319,62473391,62492365,62506439,62530151,62538911,62568791,62573296,62573519,62587271,62588759,62608751,62625911,62628431,62636999,62652959,62663399,62665391,62685191,62687591,62698511,62700479,62706061,62716991,62718119,62724551,62726231,63143692,63148322,63245601,63359220,63415874,63782577,63824584,63843025,63914662,64082234,64088094,64432705,64446729,64616772,64737855,64877114,65117710,65404154,65468689,65514352,65547465,65968272,66090796,66306409,66614721,66713934,66895912,67461121,67583168,67717996,68074312,68168408,68389922,68629057,68780584,69006670,69028922,69053712,69183558,69207789,69248664,69283514,69403437,69721384,69917296,70038550,70221396,70394958,70522606,70673474,70811725,70872717,70923864,71025870,71174594,71403009,71438484,71548922,71802657,72303304,72634606,72787322,73033274,73087581,73240264,73703646,73767674,73942312,74029417,74214306,74473612,74617922,74650260,74729005,74779796,74980154,74990838,75025209,75111112,75257901,75580994,75745996,75760928,75789265,75820322,75888109,76031064,76044241,76295350,76583601,76611630,76689459,76805014,77068875,77319246,77378157,77685426,77829910,77904747,77909704,78141252,78436557,78607912,78656958,79421350,79626944,79789347,79932820,80234824,80245321,80258114,80710441,80713154,80789452,80839617,81341217,81626824,81719072,81765985,81776660,82206800,82350412,82390225,82395297,82732322,82808004,83185101,83283532,83322105,83513230,83596900,83614754,83833922,83903545,84046260,84071960,84135172,84500001,84620809,84911905,84974070,85231044,85450732,85534947,85673594,86010169,86112145,86206754,86439934,86686417,87009025,87367034,87648417,87862312,88216396,88433901,88525129,88546269,88552264,88876912,89070254,89315725,89431994,89580312,89649344,89674806,89700904,90091437,90109905,90141122,90264177,90423745,90618664,90639008,90942914,90947118,91015405,91044969,91296975,91306312,91306660,91439354,91538545,91554420,91764424,91830177,91933956,92323874,92426829,92482650,93025300,93137224,93292994,93395892,93580922,93959761,94278796,94580955,94813634,95305620,95467322,95776396,95919384,95929041,95946116,96117232,96373030,96844322,96870705,96988177,97115834,97207449,97383440,97658048,98011514,98040985,98041510,98069709,98119182,98131992,98365754,98559517,98605384,98629922,98648160,98749996,98845101,98868270,99067322,99123745,99259489,99556977,99567465,99621297,99931322,99986526,...,158571421650597335403314806763352847235087715990791414396659491270880530055727384956154548100696880469943368232459038408579286718853306245837429067306478410786010737483253871447657642593978951717313745948330075436312013998871126467728595848927300883309154766716450496868410924589659402833239802100501732979865122781789773474142651993922112069242595730224834672255901478461387472149515561051935528170811439911428176702335863727252415901296669591214131134168863397221883716357623141611492857522866783740637519086743544673627438263650805968295229565375857235917791962045219568442534965265917074197346424807660947597645793005096389435986282710069760747829725078314001938562847181657909863377940940028434348040460528477209477251516801400378157807793534280375884781245488206370923210499088234189224358768415595299538379397308665831729107250133000645460848922479607635917459396146921542635051916524155688050089665830128968946130778399496515548125230160600760827969346492560871682274172756062960165160731994987162347488395860783655426020657213863406870881266663911758767083913909488694556781403315239616340013343581222654053009879244119465802513551245181349898594506285238202661545159316109062495753244325792542414457152134768605145728405496687893798692960028716229243439724991752352953312493302568619648587447241355888062475844291821170886409477485919154998523809148984576015009213623600669684640341353835683805231763229941023870744395010621010936827270888464702718032790675101865001321423696892528643482115317285487973667674351976392375530406900890962848723904413390741073743601200708419090581851976682631853922280816949596030351958309104115993421061693382232720173253255354687355893682395390643226689892875568579465354457855581519730047332471825498246520216928171748753402351677153090459928056766378907716843110086767586747265814387857401705917229321040971125738580368560316550182881458231986607366097219056605504287572098336032456172607626175847503804403461024287239447359465689182994733905547924114371429790388549200555522926989791934546322484559237263934251357468181352855868517922883480068927587662605719225323969039054557688156966352246649917788469595781808853583367154689801828097251728870096911503560140876931202835594698945230935470216434172498428110212694429287772254807614261093435578842449923065599070104496137978803922907706675169797421640301286137655555009264928849287879488892435437619852191639719270825620471405385208139059310122110658798970194790357638718322607639763442592695766126496993016161781032612841601}
15841 11120947469744078307117746785853587670085573708202665101163703750: {1028495,1218371,1234194,1375383,1502615,1740530,1803138,1882223,1943031,2088636,2226531,2261831,2688890,3101308,3226668,3358371,3429251,3827714,3904823,4091423,4204983,4430440,4753091,4768311,4898930,4984245,5049651,5090498,5193923,5316528,5704883,5757388,5844890,5878716,5933625,5981094,6329200,6366191,6416018,6608162,6735071,6790130,6987578,7013868,7120350,7272140,7394723,7419890,7467251,7595040,7595471,7633415,7851171,8053871,8101376,8102495,8148156,8224840,8414471,8544420,8571215,8726568,8903868,8965731,9064034,9114048,9160098,9165740,9243831,9252945,9300899,9450194,9621530,9722994,9743272,9817389,9869808,9930023,10208738,10253304,10285458,10563890,10685423,10773554,10961181,10998888,11103534,11123231,11256131,11342051,11505530,11534967,11545836,11779523,11825132,11910938,12012951,12308015,12373749,12503231,12564183,12676668,12853874,12948620,13028498,13049025,13727831,13806578,13806636,13918960,14239874,14486691,14769618,15095495,15264890,15538344,15658830,15666434,15890330,15992636,16174223,16202930,16275693,16576931,16643714,16702752,16787111,16820776,16827890,17401682,17480637,17818691,17870015,17880611,18091631,18114594,18210023,18266999,18268268,18300338,18314723,18317868,18612140,18790596,18923373,18965471,19007548,19068396,19375825,19443516,19836791,20156972,20193468,20649551,20914691,21017411,21059858,21130991,21159314,21266391,21373768,21444018,21549215,21585023,21735194,21843863,22070883,22243634,22334568,22380620,22527825,23231714,23250990,23407383,23681330,24029680,24045489,24186578,24706508,24799523,24801056,24820403,25075751,25126389,25445231,25543730,25859058,25933823,26042819,26064183,26143340,26163890,26604503,26856744,27033390,27093530,27153640,27371762,27379331,27423592,27679750,27901188,28090931,28170578,28219065,28417596,28597763,28835616,29781359,29878130,30100336,30187130,30213837,30370223,30374188,30547845,30646415,30652476,30791991,30806531,30816962,30851541,31139852,31157159,31198994,31226728,31372008,31396668,31548215,31754738,31776620,31833111,31874591,31984511,32440068,32512236,32584368,32688314,32714738,32718952,33215700,33319463,33367523,33413756,33569954,33594125,33848858,33862878,33910305,34000031,34420791,34641539,34945394,35130069,35293509,35336162,35427890,35430080,35588495,35612831,35853756,36044303,36170992,36224556,36246952,36251699,36350330,36415223,36415418,36557423,36657414,36728025,36775698,36782636,36808821,36817391,36986871,37194172,37374815,37857858,38131944,38164245,38283971,38525219,39012023,39089018,39113330,39176560,39298919,39322898,39363239,39531351,39542500,39734723,39784611,39858840,39929843,40043495,40079714,40170669,40312950,40368671,40432223,40465571,40692366,40708528,40777821,40931132,41278151,41330591,41418803,41424131,41815223,41815415,41824034,42054231,42305331,42489431,42490802,42513468,42516096,42706194,42730828,42898437,43000480,43218551,43307571,43396631,43620396,43820025,44009330,44022215,44073630,44415458,44841195,44849778,44960099,45106511,45321011,45356668,45422111,45433625,45535130,45621736,45797094,45927554,46038551,46381379,46680431,46735340,46741360,46935996,47011872,47070911,47096615,47451000,47608058,47667890,47727491,47818874,47822225,47830608,48014531,48052194,48101865,48133511,48266931,48375540,48512631,48538418,48545025,48845495,49191023,49524323,49542405,49608671,49634498,50125763,50178498,50351665,50410508,50614400,50845391,50910184,51308656,51324453,51395762,51402472,51438263,51600576,51781360,51929751,52224890,52386945,52584030,52811196,52826658,52845232,52888356,53201843,53202242,53381271,53382375,53789399,53809434,53860072,53980451,54127634,54409823,54411491,54520350,54642156,54751634,55719962,55783191,55846511,55879408,55999151,56082408,56089632,56260983,56515938,56551871,56737911,56763890,56824268,56941200,57188258,57201468,57264125,57273957,57311543,57325058,57386670,57432551,57451683,57538514,57609842,57669530,57722238,57827781,58050648,58155040,58254030,58533923,58614594,59135272,59143391,59177330,59450886,59495756,59565023,59647357,59748620,60068594,60183011,60421998,60592581,60737280,61006211,61044040,61177634,61212448,61625762,61626092,61693491,61743971,61767578,61778495,62058381,62137632,62306354,62626611,62669868,62864334,63092709,63100836,63233132,63265391,63657458,63672419,63843551,63902495,63920831,64058850,64085231,64386338,64415219,64699523,64786432,64795240,64813202,64888730,64944291,65306979,65424420,65722223,66290812,66527181,66557992,66630458,66683591,66686330,67526339,67703015,68116668,68170991,68176508,68182130,68329440,68423762,68579519,68674545,68716950,68781923,68864004,69203436,69274274,69589096,69673576,69786048,69904836,70205471,70272890,70762403,70849545,70869530,71012796,71345399,71423471,71488163,71504188,71698344,71891615,71930950,72079442,72134025,72338159,72821138,72884736,72894645,73252848,73298080,73562965,73764431,73879025,73972823,74117858,74134194,74323139,74574357,74767751,74802215,74877741,74987852,75327411,75572848,75709778,75740771,76036172,76145282,76536465,76682994,76850636,76870415,76870620,76879523,76942960,77114930,77280071,77483231,77748323,77754288,77767298,77866476,77911394,78075023,78216620,78287733,78382773,78396771,78411698,78443176,78488291,78509304,78716474,78929615,79064291,79199025,79291331,79309132,79326988,79416023,79699251,79780730,79849538,79893023,80023596,80051738,80072099,80293871,80420951,80454914,80563251,80660637,80770965,80983811,81243618,81495071,81638896,81645698,81818556,81892940,81995328,82280883,82409454,82460340,82534031,82613495,82650674,82921431,82973399,83619890,83929461,84102578,84151859,84327468,84408483,84478960,84647495,85019454,85043436,85092890,85210510,85450792,85579331,85865493,85884951,85928972,85975730,86095011,86155696,86269938,86279711,86317140,86426114,86560830,87151730,87179111,87255218,87396620,87419543,87473574,87559383,87694319,87776745,87957696,87975831,88061171,88248573,88252211,88275558,88322967,88387994,88654830,88729202,88819628,88951912,89252039,89298105,89762658,90201554,90379130,90412658,90577583,90893423,90984839,91550330,91562594,91654499,91821023,91843758,92047418,92071616,92078162,92147293,92244498,92244744,92258951,92277052,92331552,92412131,92427890,92480099,92537916,92796311,92805923,92929634,93092015,93256631,93312825,93474745,93516323,93628528,93859944,93888890,94330871,94496956,94565152,94682495,94701160,94715538,94722483,94767794,95038830,95123811,95163971,95203298,95204012,95251312,95281283,95462519,95578223,95736876,95841779,95871993,96123351,96132141,96254714,96598319,96697538,96882959,96925158,97315671,97387130,97450108,97676565,97709423,97877603,97974791,98106231,98259890,98271528,98356658,98685923,98809058,98952408,99011711,99136194,99439223,99533680,99916025,99987784,...,211428562200796447204419742351137129646783621321055219195545988361174040074303179941539397467595840626591157643278717878105715625137741661116572089741971214381347649977671828596876856791971935623084994597773433915082685331828168623638127798569734511078873022288600662491214566119545870444319736134002310639820163709053031298856869325229482758990127640299779563007868637948516629532687414735914037561081919881904235603114484969669887868395559454952174845558484529629178288476830855481990476697155711654183358782324726231503251018201074624393639420501142981223722616060292757923379953687889432263128566410214596796861057340128519247981710280093014330439633437752002584750462908877213151170587920037912464053947371302945969668689068533837543743724712373834513041660650941827897613998784312252299145024554127066051172529744887775638809666844000860614465229972810181223279194862562056846735888698874250733452887773505291928174371199328687397500306880801014437292461990081162243032230341417280220214309326649549796651194481044873901360876285151209161175022218549011689445218545984926075708537753652821786684458108296872070679838992159287736684734993575133198126008380317603548726879088145416661004325767723389885942869513024806860971207328917191731590613371621638991252966655669803937749991070091492864783262988474517416634459055761561181879303314558873331365078865312768020012284831467559579520455138447578406975684306588031827659193347494681249103027851286270290710387566802486668428564929190038191309487089713983964890232469301856500707209201187950464965205884520988098324801600944558787442469302243509138563041089266128040469277745472154657894748924509643626897671007139583141191576527187524302253190500758105953805943807442026306729776629100664328693622570895665004536468902870787279904075688505210289124146782356782329687752517143202274556305761387961500984773824747088733577175277642648809821462958742140672383429464448043274896810168234463338405871281365716319263145954252243992978540730565485828573053851398934074030569319722579395096646078983018579001809957575137141158023897177973425236783550140958967098625385406076917542621802995533223717959461042411804777822872919735770796335638493462548671413521169241603780792931926974580626955245563331237480283592572383696339743485681457914105123266564087465426805994850638405230543608900226396562187068381516874073345686571799050505985189913916826469588852959027767493961873846944185412413496147545065293593053810184957763476853017923456927688168662657354882374710150455468}
15842 11169853724353822067271410568108758638481631658220151638508218455: {300637,537982,727582,980158,1169422,1358542,1621117,1645592,1673422,1714897,1833844,1851291,2113582,2301982,2404184,2490238,2555677,2590708,2610795,2704707,2784848,2834641,2968708,3020257,3112957,3132954,3179278,3241822,3366862,3429358,3483037,3554302,3759841,3876635,4033335,4302224,4403197,4477828,4651962,4840002,4924462,5134141,5407057,5420782,5538050,5606638,5606644,5741571,5977918,6039742,6163342,6225118,6357748,6595438,6645660,6732868,7088704,7196735,7272862,7348395,7457278,7635747,7838288,7911500,7974792,8009662,8011837,8438398,8525363,8636082,8719741,8744158,8767335,8818074,8971641,9090175,9159841,9351824,9493800,9624027,9719902,9772957,9912243,10126720,10185195,10281050,10468228,10481367,10520802,10680525,10752142,10864208,10908210,11129835,11333341,11357182,11392560,11457175,11538382,11591137,11635424,11719438,11871824,11954308,12020878,12152064,12179090,12190141,12213464,12222234,12261742,12325108,12337260,12382078,12445777,12816630,12870397,12963992,13089852,13159744,13355802,13522078,13596051,13671072,13713944,13714237,13740147,13748610,13821118,14060062,14175291,14239102,14358382,14432295,14584491,14614908,14665184,14715838,14717341,14718179,14781415,14804712,15072718,15132241,15313107,15379956,15394448,15428187,15606958,15710077,15845835,15962398,16017268,16160331,16185775,16498332,16553518,16610977,16655301,16752244,16902224,17201902,17258295,17318754,17378398,17398700,17437198,17613502,17737698,17744977,17866407,18226657,18258718,18408848,18492862,18626077,18668302,18702047,18785341,19015002,19280811,19315588,19422930,19485118,19542747,19659742,19692824,19834222,19970641,19990795,20518237,20709867,20709954,20717792,20878440,20907217,20935918,21025970,21041779,21224878,21359811,21455758,21700924,21743998,22139857,22146862,22154427,22270336,22319278,22835335,22835662,22897335,23052241,23265175,23307516,23488245,23499651,23654737,23693422,23759435,23835495,23954257,23988954,23995643,24028957,24152792,24304395,24320158,24423824,24717982,24771997,24831502,24965571,25054128,25196215,25231164,25241835,25424528,25654141,25680862,25924688,26102523,26236477,26337794,26414062,26717210,26924624,27171891,27200638,27323387,27402402,27450507,27476802,27814141,27918210,27975775,28185894,28308817,28355188,28374622,28511322,28592024,28602594,28629083,28659997,28875598,29009377,29165274,29218141,29427844,29564641,29596942,29779424,29928958,30037100,30039502,30205198,30235458,30290202,30593341,30883135,31001320,31209844,31361038,31580398,31589787,31649618,31716083,31738971,32060652,32073022,32166027,32236942,32506771,32509822,32602791,32673358,32679175,32891182,33054382,33365451,33387517,33501852,33570930,33905341,33942050,34279490,34354657,34354798,34478744,34719191,34752244,34786222,34847571,34876485,35053597,35162878,35179741,35305597,35485102,35521995,35619962,35808992,35992657,36044520,36279867,36448318,36854497,37059762,37193902,37201584,37247038,37353262,37512478,37565518,37625420,37724542,37883422,37890128,37967735,37989262,38061217,38315595,38359198,38447488,38535841,38712637,38788587,38924815,39033410,39122641,39215010,39245835,39297277,39411838,39702241,39720775,39919019,40285116,40550085,40640295,40666558,40727377,40730460,40869968,40898690,40952017,41007997,41055988,41057643,41135388,41186638,41290462,41397841,41446078,41519625,41674141,41756878,41767195,41808622,41829344,41851782,41862224,42221341,42255867,42273598,42444148,42600097,42626394,42840142,42868477,42921937,42994318,43188157,43253424,43349648,43445824,43557841,43963051,44287600,44338141,44528158,44546411,44817195,44895074,44977163,45150504,45202897,45213740,45280695,45308690,45492142,45503137,45561282,45701857,45894388,45978295,45978714,46047598,46225443,46239578,46485217,46492715,46709778,46726237,46798491,46840092,47058012,47095002,47127563,47152702,47252782,47391517,47532241,47632107,47664930,47805008,48001342,48134557,48226141,48299408,48544417,48660102,48768354,48876552,48894482,48894862,48970700,49032471,49034264,49072107,49078428,49315828,49389022,49428125,49536958,49823550,49911517,50120634,50127262,50218663,50274478,50354931,50477144,50724167,50773287,50794317,50813038,50842592,50885660,51127777,51163915,51300958,51653341,51733117,51743363,52320382,52417102,52418091,52515037,52553377,52708468,52743997,52895197,53004243,53046148,53140462,53141835,53145120,53413535,53560892,53633917,53750600,53764462,53780634,53814097,53921341,54256488,54274141,54336834,54370428,54525495,54623127,54857377,54891037,54986121,55163547,55173954,55223677,55336318,55410619,55620238,55791258,56072308,56407108,56452177,56601757,56684624,56688128,56695835,56786787,56941592,56982241,57027170,57197916,57210337,57264958,57311662,57451678,57733597,57743428,57813841,57963838,57998557,58024657,58160528,58238243,58381438,58419175,58426700,58427758,58531537,58633527,58669995,58705342,58755554,58764840,58936222,58984347,59120638,59313750,59327137,59502241,59651677,59776957,59788260,59799704,59818141,59879377,60119571,60176062,60313102,60364477,60469425,60492241,60495598,60581341,60890459,60964379,60996142,61038549,61062792,61154641,61229341,61273297,61330897,61396698,61469857,61549777,61575841,61639741,61675582,61797457,61964317,61991422,62114977,62240977,62249437,62282557,62382241,62482141,62555617,62581328,62603857,62621137,62652241,62682496,62684641,62709841,62714017,62724817,62736051,62740477,63013135,63202318,63268000,63637730,63736203,63770202,63774144,63869998,64003102,64059291,64069592,64096242,64135820,64136062,64253090,64268878,64355908,64489918,64500720,64683508,64726700,65018782,65413918,65430594,65807758,66013995,66056540,66110445,66113182,66126242,66623187,66765022,66904664,67274667,67325090,67370158,67628542,67757518,67917091,68035002,68302695,68432604,68637779,68656318,68695641,68800768,68891331,69239668,69293998,69849260,69983771,70054462,70103010,70112040,70180702,70403994,70414928,70435544,70474702,70517808,70726078,70809742,71030335,71175028,71176500,71227102,71351998,71412087,71434034,71501835,71601358,71728311,71745912,71808718,72078291,72551902,72563310,72693800,72807627,72839518,72856208,72962542,73085422,73697662,73779022,73919090,74107163,74184862,74265838,74369695,74377588,74451747,74685775,74769443,74776544,74786176,74790622,75014644,75267747,75354584,75386234,75392782,75615762,75650548,75921600,76268624,76305050,76365276,76515560,76602244,76962984,77020318,77032615,77093643,77103708,77256238,77372087,77400864,77413198,77581183,77672040,77832923,77843518,77999518,78152792,78337335,78659662,78876045,79041415,79216794,79239987,79267848,79332534,79353598,79698622,79803363,80308798,80536558,80562664,80650222,80714151,80790108,80952622,80983040,80994050,81191451,81291598,81441838,81780525,81853678,81924962,81963234,81965662,82127451,82226398,82257988,82744508,82745518,82782478,82850176,82863515,83003902,83187982,83197490,83298238,83344898,83502148,83554942,83559824,83579943,83819112,83883838,84123612,84134448,84392878,84718462,84773907,85145835,85220635,85236402,85411800,85473118,85687438,85723102,85782387,85794382,85802202,85840898,85987587,86080005,86307771,86414763,86504295,86574238,86583357,86592388,86679982,86986370,87066478,87075972,87091970,87232560,87381045,87416158,87489311,87625198,87921891,88352302,88702908,88764622,88765995,88867342,89176329,89243634,89380235,89446702,89622930,89683918,89685947,89701051,89785342,90102891,90205787,90290302,90390862,90491278,90632997,90769562,90822224,90957982,90991198,91105920,91164794,91454542,91553422,91566060,91622600,91766451,91818672,92045662,92271248,92371822,92438643,92439138,92651367,92825758,93048064,93206448,93244462,93404782,93459531,93628558,93734815,93819742,94004802,94296501,94466060,94651254,94683728,94735678,94829662,94849698,94923502,95017198,95045215,95141902,95486187,95514478,95597792,95607262,96063295,96088275,96178700,96579507,96609338,96860878,96884819,97162558,97179648,97192860,97219803,97333095,97670464,97770775,98053970,98057998,98136630,98412142,98559022,98676238,98845592,99084478,99136415,99158735,99432476,99436218,99777022,99836988,99945687,99948718,...,317142843301194670806629613526705694470175431981582828793318982541761060111454769912309096201393760939886736464918076817158573437706612491674858134612956821572021474966507742895315285187957903434627491896660150872624027997742252935457191697854601766618309533432900993736821849179318805666479604201003465959730245563579546948285303987844224138485191460449669344511802956922774944299031122103871056341622879822856353404671727454504831802593339182428262268337726794443767432715246283222985715045733567481275038173487089347254876527301611936590459130751714471835583924090439136885069930531834148394692849615321895195291586010192778871972565420139521495659450156628003877125694363315819726755881880056868696080921056954418954503033602800756315615587068560751769562490976412741846420998176468378448717536831190599076758794617331663458214500266001290921697844959215271834918792293843085270103833048311376100179331660257937892261556798993031096250460321201521655938692985121743364548345512125920330321463989974324694976791721567310852041314427726813741762533327823517534167827818977389113562806630479232680026687162445308106019758488238931605027102490362699797189012570476405323090318632218124991506488651585084828914304269537210291456810993375787597385920057432458486879449983504705906624986605137239297174894482711776124951688583642341772818954971838309997047618297969152030018427247201339369280682707671367610463526459882047741488790021242021873654541776929405436065581350203730002642847393785057286964230634570975947335348703952784751060813801781925697447808826781482147487202401416838181163703953365263707844561633899192060703916618208231986842123386764465440346506510709374711787364790781286453379785751137158930708915711163039460094664943650996493040433856343497506804703354306180919856113532757815433686220173535173494531628775714803411834458642081942251477160737120633100365762916463973214732194438113211008575144196672064912345215252351695007608806922048574478894718931378365989467811095848228742859580777098401111045853979583869092644969118474527868502714936362705711737035845766960137855175325211438450647938078109115376313932704493299835576939191563617707166734309379603656194503457740193823007120281753862405671189397890461870940432868344996856220425388858575544509615228522186871157684899846131198140208992275957607845815413350339594843280602572275311110018529857698575758977784870875239704383279438541651240942810770416278118620244221317597940389580715277436645215279526885185391532252993986032323562065225683202}
15843 11218973367874394268768535979771863718158094119769846984946435054: {806973,1091373,1439893,1470237,1754133,2037813,2056990,2103661,2292305,2436742,2468388,2510133,2673073,2750766,3005230,3170373,3238385,3452973,3481060,3606276,3710885,3735357,3764446,3886062,3999677,4177272,4453062,4523662,4568801,4699431,4768917,4862733,5041157,5050293,5144037,5331453,5377780,5597285,6178973,6202616,6453336,6716742,6858502,6977943,7008305,7121741,7260003,7386693,7655428,7787921,7809646,7947185,8131173,8182846,8307075,8356613,8409957,8409966,8416085,8824933,8860880,8966877,9059613,9245013,9337677,9506182,9536622,9797860,9889375,9893157,9968490,10099302,10180996,10236677,10387846,10532597,10633056,10686781,10909293,11098261,11185917,11343493,11409766,11514776,11689780,11757432,11867250,11962188,11999701,12014493,12309341,12657597,12658400,12732382,12832036,12954123,13085285,13116237,13216324,13227111,13470142,13580260,13975156,14027736,14211473,14240700,14378837,14544280,14579853,14789446,14839780,14934502,14942885,15190080,15190942,15266830,15406385,15421575,15702342,15781203,15814301,16107742,16128213,16202752,16204990,16296312,16362315,16449680,16828942,17035773,17050613,17088840,17142430,17231221,17307573,17453136,17477141,17579157,17807736,17931462,18031317,18128068,18228096,18268635,18320196,18331480,18333351,18392613,18487662,18505890,18573117,18601798,18754097,18900388,19219973,19224945,19243060,19445988,19486544,19634778,19739616,19839313,19860046,20021585,20033703,20283117,20417476,20506608,20570916,20622915,20731677,20940305,21058453,21090093,21127780,21133693,21358653,21370846,21387677,21490421,21537573,21547108,21748375,21922362,21997776,22073757,22207068,22246462,22512262,22609077,22684102,23011060,23069934,23091672,23410437,23559046,23650264,23810081,23821876,23943597,24025902,24144485,24224657,24616030,24747498,24830277,25006462,25018021,25128366,25353336,25704437,25707748,25718117,25802853,25897240,25978131,26056996,26067597,26098050,26155797,26420253,26494241,26606547,27126155,27388077,27455662,27613156,27613272,27739293,27837920,28002453,28479748,28522503,28973382,28984861,29134395,29227677,29489613,29539236,29751333,30041933,30168901,30190990,30529780,30777877,31064931,31076688,31317660,31332868,31403877,31538955,31780660,31837317,31985272,32183637,32201357,32348446,32405860,32551386,32615997,32861741,33153862,33198373,33220293,33287428,33405504,33478917,33574222,33641552,33655780,34222577,34253493,34789541,34803364,34961274,35443985,35540133,35617357,35637382,35740030,35761222,35983431,36183262,36229188,36420046,36480237,36533998,36536536,36600676,36629446,36635736,36784805,36822097,37076973,37224280,37247253,37546375,37581192,37846746,37864517,37930942,38015096,38136792,38521293,38530117,38751650,38887032,39012305,39016981,39506691,39621093,39673582,40075815,40313944,40386936,40800957,41103603,41215203,41283397,41299102,41829382,41877315,42034822,42119716,42261982,42278841,42318628,42494833,42532782,42561933,42747536,42766983,42842917,42888036,42903891,42904981,43019141,43098430,43170046,43313397,43440305,43470388,43638701,43687726,43747911,44141766,44167501,44205233,44395413,44487268,44669136,44761240,44893437,45041117,45055650,45059253,45244693,45307797,45326773,45353187,45435303,45792941,45970021,46444177,46463428,46501980,46734661,46814766,47031775,47041557,47362660,47370597,47474427,47613821,48059360,48068141,48090978,48109533,48355413,48373156,48502117,48764733,49010037,49190837,49336773,49367053,49413016,49417133,49581573,49599046,49602112,49640806,49823893,50151502,50252778,50356395,50890462,50913075,51087460,51319985,51419235,51532197,51718116,51867646,52085638,52128366,52179333,52286680,52324741,52327780,52341521,52744317,53055185,53209006,53227653,53429943,53704517,53713488,53796277,54066780,54187060,54307280,54672477,54743524,54758662,54814357,54847184,55359500,55589643,55790853,55802376,55870557,56029893,56060893,56181862,56268717,56341156,56348277,56438130,56517175,56586813,56825133,56835192,56983893,57195526,57367985,57538797,57671232,58541581,58550115,58822515,59117757,59562718,59579717,59756260,60200672,60374260,60427674,60740446,60748376,60999837,61095690,61102877,61213375,61292830,61304952,61348035,61583982,61613062,61631101,61633924,61644785,61703082,61779957,61935693,62169117,62259413,62279704,62314318,62397988,62453456,62635317,62712933,62744016,62777673,62793336,63096430,63410397,63509476,63553240,63607075,63666222,63749182,63939591,63969022,64260213,64393997,64491477,64880136,65024472,65168736,65376628,65429476,65437904,65885585,65935261,66080597,66101437,66307685,66431400,66638926,66735046,66792237,66827512,66951115,67139908,67188250,67342611,67697716,67725756,67820610,67874833,67963035,68000062,68020961,68238213,68341923,68383693,68658197,68841582,68968071,69071397,69283078,69359367,69890788,70064667,70090385,70260138,70492331,70508885,70587018,70642503,70672324,70729053,70855780,70860160,70879173,71038517,71176990,71225662,71354557,71497395,71707512,72002013,72088606,72179285,72341984,72449112,72493904,72503398,72700660,72830446,72830836,72990153,73016141,73033375,73114846,73152531,73309141,73314828,73341723,73342293,73456050,73551396,73565272,73617642,73634782,73675621,73973742,74083533,74305437,74388344,74735325,74749630,75180951,75190893,75411717,75715716,75778421,75976637,76127077,76219557,76263888,76328490,76567942,76951437,77050438,78024046,78178036,78226660,78353120,78470897,78480573,78597838,78625653,78645796,78726478,79062702,79074397,79085000,79469446,79569222,79710693,79717680,79859686,80086990,80159428,80169775,80341338,80444885,80575381,80625900,80646693,80670951,80737342,80854385,80864446,80908375,80931142,81384732,81417056,81505251,81555642,81862264,82556302,82570675,82661182,82760931,82837606,82848262,83004477,83292413,83430357,83563957,83630446,83630830,83648068,83686887,84108462,84168941,84610662,84815357,84978862,84981604,85026936,85032192,85412388,85461656,85540755,85648757,85796874,85897437,85967493,86000960,86177517,86437102,86489893,86549585,86615142,86793262,86945757,87240792,87311575,87572157,87640050,87641637,87836437,88018660,88044430,88058013,88133331,88147260,88404333,88680957,88830916,88938293,88968785,88970625,89463493,89682390,89699556,89879837,89920198,90213022,90264093,90469653,90642022,90713336,90743397,90844222,90867250,90905041,91070260,91243472,91330993,91494213,91594188,91855108,92077102,92095047,92243917,92513373,92762758,92853473,92971985,92987133,93360862,93448477,93454997,93470680,93482720,93605797,93768305,93871992,94023744,94141822,94193230,94342933,94395101,94560917,94563185,94784221,94803477,94902000,95216116,95335780,95454982,95456595,95531117,95637748,95644450,95655303,95661216,95752805,95804997,96004653,96029062,96104388,96144363,96203730,96204093,96214037,96267022,96379635,96403317,96533862,96734877,96751080,97025262,97076836,97090050,97435477,97528173,97690990,98120877,98145891,98382046,98511157,98711637,99048646,99084810,99100877,99169773,99189363,99217342,99268996,99452197,...,475714264951792006209944420290058541705263147972374243189978473812641590167182154868463644302090641409830104697377115225737860156559918737512287201919435232358032212449761614342972927781936855151941237844990226308936041996613379403185787546781902649927464300149351490605232773768978208499719406301505198939595368345369320422427955981766336207727787190674504016767704435384162416448546683155806584512434319734284530107007591181757247703890008773642393402506590191665651149072869424834478572568600351221912557260230634020882314790952417904885688696127571707753375886135658705327604895797751222592039274422982842792937379015289168307958848130209282243489175234942005815688541544973729590133822820085303044121381585431628431754550404201134473423380602841127654343736464619112769631497264702567673076305246785898615138191925997495187321750399001936382546767438822907752378188440764627905155749572467064150268997490386906838392335198489546644375690481802282483908039477682615046822518268188880495482195984961487042465187582350966278061971641590220612643799991735276301251741728466083670344209945718849020040030743667962159029637732358397407540653735544049695783518855714607984635477948327187487259732977377627243371456404305815437185216490063681396078880086148687730319174975257058859937479907705858945762341724067664187427532875463512659228432457757464995571427446953728045027640870802009053921024061507051415695289689823071612233185031863032810481812665394108154098372025305595003964271090677585930446345951856463921003023055929177126591220702672888546171713240172223221230803602125257271745555930047895561766842450848788091055874927312347980263185080146698160519759766064062067681047186171929680069678626705738396063373566744559190141997415476494739560650784515246260207055031459271379784170299136723150529330260302760241797443163572205117751687963122913377215741105680949650548644374695959822098291657169816512862716295008097368517822878527542511413210383072861718342078397067548984201716643772343114289371165647601666568780969375803638967453677711791802754072404544058567605553768650440206782762987817157675971907117163673064470899056739949753365408787345426560750101464069405484291755186610290734510680422630793608506784096835692806410649302517495284330638083287863316764422842783280306736527349769196797210313488413936411768723120025509392264920903858412966665027794786547863638466677306312859556574919157812476861414216155624417177930366331976396910584371072916154967822919290327778087298379490979048485343097838524803}
15844 11268307324068456968456343834836128573464908680228556233366812026: {601274,647923,742459,836923,1075964,1119883,1308163,1455164,1683859,1777603,1960316,2338844,2711083,2717084,3082459,3085485,3242234,3291184,3346844,3429794,3655113,3667688,3702582,4097803,4126149,4227164,4351325,4507845,4556443,4603964,4808368,4922059,4980476,5111354,5181416,5221590,5377459,5409414,5427289,5569696,5646669,5669282,5829093,5921563,5937416,6040514,6192643,6225914,6265908,6358556,6483644,6643003,6679593,6722225,6733724,6785493,6822643,6858716,6966074,7091563,7108604,7181059,7519682,7753270,8066670,8514859,8604448,8806394,8955656,9303924,9395059,9569285,9680004,9848924,10075113,10075429,10268282,10287753,10354963,10814114,10841564,11076100,11213276,11213288,11220043,11478163,11483142,11714469,11955836,12079484,12247325,12274269,12326684,12419059,12450236,12614949,12715496,12726245,13190876,13266859,13291320,13465736,14107459,14177408,14191123,14259273,14304933,14393470,14525059,14545724,14612225,14696790,14914556,14952735,15023803,15148953,15271494,15272203,15581769,15676576,15684763,15823000,15949584,16019324,16023674,16040045,16095523,16177459,16259323,16520405,16876796,16975325,17050726,17114649,17272164,17397859,17439482,17468945,17488316,17534670,17636148,17800875,17801059,17881483,17943282,18180350,18319682,18549725,18681763,18703648,18920443,18987600,18999859,19098573,19248054,19439804,19545914,19824486,20205213,20253440,20370390,20562100,20650963,20693981,20936456,20962734,21041604,21361050,21504284,21728416,21810883,21816420,22184169,22259670,22401753,22660085,22666682,22714364,22785120,22786413,22803043,22900245,22914350,23076764,23182274,23256859,23270848,23438876,23553513,23625485,23633059,23743648,23908616,24041756,24053825,24161613,24304128,24307485,24358180,24380282,24426928,24444468,24523484,24650216,24674520,24764156,24867557,24891554,25119859,25243413,25413763,25521845,25633260,25713645,25740794,25852459,25927984,26179704,26216059,26319488,26409725,26650003,26711604,26866003,26897193,26933885,27044156,27192102,27342144,27427888,27428474,27480294,27497220,27642236,27723523,27731493,27758835,27902697,27987113,28120124,28350582,28430203,28478204,28640803,28710859,28716764,28763825,28864590,29168982,29229816,29330368,29431676,29434682,29436358,29452167,29476723,29562830,29609424,29777345,29790069,30145436,30264482,30626214,30759912,30779059,30788896,30856374,31213916,31420154,31691670,31788859,31924796,31969469,32034536,32055403,32056269,32134685,32188243,32320662,32371550,32519083,32571245,32782459,32883543,32996664,33107036,33110059,33221954,33263209,33310602,33369693,33504488,33695203,33768393,33804448,34026153,34403804,34516445,34516590,34604901,34637508,34756796,34797400,34874396,35037859,35227004,35274701,35338569,35415643,35475396,35489954,35599685,35732814,35915323,36038853,36331097,36453314,36517436,36533443,36817696,36900859,36924045,36961843,36985724,37121247,37144363,37252154,37336604,37404094,37509693,37567723,37570682,37692549,37808059,38030004,38162225,38417093,38561622,38631176,38757883,38845860,38970236,39085494,39147075,39166085,39319484,39385648,39668444,39725825,39941282,39981590,40375723,40489123,40507325,41036474,41183493,41419734,41419908,41435584,41609285,41756880,41814434,41827459,41871836,42046483,42051940,42069725,42083558,42372859,42449756,42719622,42911059,42911516,43236389,43401848,43460073,43487996,43504205,43913803,44017843,44225059,44279714,44293724,44308854,44540672,44638556,44941243,45286485,45670670,45671324,45750845,45791923,45794670,46038163,46104482,46282603,46530350,46615032,46669963,46718059,46957459,46976490,46999302,47309474,47386844,47477803,47518870,47670990,47908514,47977908,47991286,48057914,48305584,48356059,48522669,48608790,48640316,48827079,48847648,48986563,49435964,49543994,49663004,49730793,49931142,50108256,50162683,50332459,50361333,50392430,50462328,50483670,50501083,50710243,50849056,51000043,51204883,51308282,51361724,51609163,51849376,51956333,52202083,52205046,52441911,52472954,52649645,52675588,52702843,52828124,52898285,52929859,53117059,53154829,53434420,53449483,53456073,53610045,53641833,53849248,54274893,54337985,54343782,54401276,54494741,54630069,54646774,54800997,54804804,54901014,54944169,54953604,55090723,55516603,55548859,55609085,55628282,55836420,55951550,56126741,56301403,56331859,56371788,56483059,56617634,56710376,56749244,56770119,56896413,56896843,56925859,57022644,57041203,57184048,57205188,57240283,57258166,57319994,57324523,57600643,57751196,57789643,57869563,58001323,58018754,58079285,58127475,58182763,58284859,58330548,58436282,58474073,58681723,58855688,59013859,59106163,59129282,59193884,59203325,59232041,59264923,59349329,59442043,59510373,59558848,59857916,59864683,59985859,60074200,60079004,60162763,60201283,60296323,60410396,60466445,60470916,60580404,60658483,60795283,60878443,60911203,61186682,61505923,61572163,61735963,61766270,61865059,61876363,61931803,61948653,62002640,62087323,62163643,62302459,62379859,62408803,62419688,62541859,62563603,62617459,62658859,62696083,62720059,62722076,62730859,62744073,62757859,63052233,63160796,63179574,63299236,63392973,63432166,63477942,63799173,63859325,64121304,64146044,64332054,64369613,64473884,64647645,64755069,65013542,65019644,65089801,65205582,65346716,65358350,65409725,65485277,65531589,65782364,66108764,66212649,66730902,66775034,67003704,67141860,67583475,67733825,67810682,67884100,68429405,68558980,68709314,68709596,68957488,69199375,69438382,69504488,69572444,69695142,69752970,70107194,70222149,70325756,70359482,70426445,70611194,70970204,71043990,71239924,71617984,71629481,71985314,72089040,72136467,72559734,72896636,73708994,74119524,74387804,74398569,74403168,74461209,74494076,74695325,74706524,74778949,75024956,75131036,75227253,75250840,75379167,75449084,75467825,75766844,75780256,75907337,75935470,75978524,76122434,76335693,76631190,76718396,76894976,77042405,77071682,77425274,77577174,77801469,77849630,77997485,78066820,78128457,78192549,78245282,78430020,78491670,78594554,78823676,79374169,79386845,79404482,79441550,79813509,79838038,80265653,80570232,81100170,81280590,81333116,81454754,81460920,81720785,81739936,81786845,81797380,81904034,82015994,82111976,82115286,82137993,82270776,82373276,82580924,82708093,82795682,82892156,83039250,83348282,83513756,83534390,83617244,83658688,83703564,83724448,83924885,84272793,84442682,84511734,84547196,84622145,84657195,84888296,85200194,85252788,85612901,85680284,85736954,85793289,85843874,85988636,86376314,86506848,86699296,86708381,86891648,87115682,87363485,87926102,88218389,88340405,88569725,88575200,88676282,89056316,89092822,89344077,89634390,89790148,89954326,90301008,90405794,90427480,90561390,90617380,90641511,90875825,90984284,91006274,91038545,91110669,91122564,91403714,91643535,91788776,91864553,91939245,91956590,91957428,92095196,92375973,92419593,92450886,92479156,92554623,92970434,92985430,93419556,93452474,93471477,93596982,93680184,94116024,94190004,94255126,94305404,94505564,94644645,94783034,95064482,95264214,95329860,95499333,95610016,95623773,95953533,96002684,96269114,96452282,96598816,97088834,97320204,97536708,97722545,97753104,97783325,97788964,97789724,97941400,98064942,98068528,98144214,98156856,98307245,98631656,98778044,98856250,99073916,99442469,99647100,99823034,99958389,...,634285686602389341613259227053411388940350863963165657586637965083522120222909539824618192402787521879773472929836153634317146875413224983349716269225913643144042949933015485790630570375915806869254983793320301745248055995484505870914383395709203533236619066865801987473643698358637611332959208402006931919460491127159093896570607975688448276970382920899338689023605913845549888598062244207742112683245759645712706809343454909009663605186678364856524536675453588887534865430492566445971430091467134962550076346974178694509753054603223873180918261503428943671167848180878273770139861063668296789385699230643790390583172020385557743945130840279042991318900313256007754251388726631639453511763760113737392161842113908837909006067205601512631231174137121503539124981952825483692841996352936756897435073662381198153517589234663326916429000532002581843395689918430543669837584587686170540207666096622752200358663320515875784523113597986062192500920642403043311877385970243486729096691024251840660642927979948649389953583443134621704082628855453627483525066655647035068335655637954778227125613260958465360053374324890616212039516976477863210054204980725399594378025140952810646180637264436249983012977303170169657828608539074420582913621986751575194771840114864916973758899967009411813249973210274478594349788965423552249903377167284683545637909943676619994095236595938304060036854494402678738561365415342735220927052919764095482977580042484043747309083553858810872131162700407460005285694787570114573928461269141951894670697407905569502121627603563851394895617653562964294974404802833676362327407906730527415689123267798384121407833236416463973684246773528930880693013021418749423574729581562572906759571502274317861417831422326078920189329887301992986080867712686995013609406708612361839712227065515630867372440347070346989063257551429606823668917284163884502954321474241266200731525832927946429464388876226422017150288393344129824690430504703390015217613844097148957789437862756731978935622191696457485719161554196802222091707959167738185289938236949055737005429872725411423474071691533920275710350650422876901295876156218230752627865408986599671153878383127235414333468618759207312389006915480387646014240563507724811342378795780923741880865736689993712440850777717151089019230457044373742315369799692262396280417984551915215691630826700679189686561205144550622220037059715397151517955569741750479408766558877083302481885621540832556237240488442635195880779161430554873290430559053770370783064505987972064647124130451366404}
15845 11317856520666259963516627796968380056960924261759847657339370422: {901911,1344955,1613946,1818955,1914583,2182746,2450395,2879786,2923555,2940474,2957779,3209227,3396355,3508266,4075626,4113980,4183555,4207322,4533739,4584610,4726891,4863351,4873484,4936776,5020266,5106307,5144691,5195239,5283955,5346146,5388823,5501532,5553873,5754955,5957731,6010460,6225595,6340746,6429379,6476770,6905911,6905946,6962120,7212552,7421770,7469143,7470714,7528892,7667031,7772124,7832385,7836199,7948195,7999354,8104555,8114121,8161879,8325019,8354544,8416603,8417155,8503923,8573395,8704147,8885755,8906124,9047324,9060771,9137602,9338871,9398862,9537834,9725466,9811627,9932539,10082314,10100586,10288074,10449111,10583683,10662906,10755560,11003539,11126059,11194570,11258983,11279523,11620279,11629905,11782519,12097891,12100005,12311155,12357946,12405232,12656083,12906672,13209591,13276867,13433484,13551955,13717004,13845125,13955886,14016595,14016610,14243482,14520006,14547403,14773386,14944795,15099355,15310856,15402423,15408355,15562795,15575842,15619292,15883411,15894370,16221171,16262346,16350379,16365692,16488595,16614150,16713226,16791379,16819914,16819932,16832170,16993171,17224713,17479363,17649866,17674807,17721760,17823223,17933754,17951779,18119226,18182155,18319399,18490026,18510679,18643195,18675354,19012364,19073244,19595720,19668931,19778750,19786314,19936980,20024155,20047483,20198604,20361992,20473354,20654803,20775692,20920039,21065194,21095995,21150907,21266112,21373562,21568939,21590205,21818586,21860395,22045185,22112683,22196522,22371834,22686986,22819532,22907241,22972519,23029552,23379560,23514864,23734500,23813107,23918539,23924376,23999402,24028986,24035511,24299755,24618682,25315194,25316800,25464764,25576089,25664072,25702625,25895323,25908246,25940419,26049463,26159223,26170570,26232474,26302005,26432648,26442571,26454222,26611267,26880355,26914923,26940284,27003259,27160520,27270525,27408379,27479523,27786643,27950312,28030219,28055472,28098103,28392955,28422946,28481400,28757674,28780279,28845955,28872081,29088560,29159706,29298595,29316427,29318871,29578892,29679560,29736729,29802883,29869004,29885770,30045751,30052195,30377971,30380160,30381884,30447725,30533660,30555585,30600307,30654355,30812770,30843150,30955195,31404684,31444101,31562406,31628602,32041575,32205451,32215484,32256426,32405504,32409980,32592624,32724630,32865943,32899360,33205843,33389505,33657884,33802279,33805195,34000023,34071546,34101226,34177680,34284860,34371525,34380067,34462442,34552795,34615146,34773411,34906272,34954282,35150155,35158314,35597755,35615472,35862924,35891971,35895955,36053467,36062634,36256136,36456192,36537270,36570423,36640392,36662960,36666702,36785226,36789595,36975324,37011780,37146234,37203596,37337331,37508194,37681795,37800776,37869331,37976617,38439946,38449890,38486120,38611191,38836603,38891976,38970679,38973088,39017395,39269556,39479232,39678626,39714907,39720092,39905995,39985363,40043170,40067406,40475863,40566234,40591387,40788153,40834952,41013216,41141832,41142711,41220441,41245830,41341099,41383795,41463354,41825899,41880610,42116906,42180186,42255560,42267386,42525873,42717306,42741692,42775354,42980842,43004755,43024663,43075146,43094216,43229539,43296885,43445995,43496750,43592995,43644247,43753473,43844724,43995552,44033755,44147514,44152023,44154537,44210851,44344245,44414136,44461579,44492924,45024524,45117979,45218154,45368204,45396723,45646795,45798763,45939321,46022120,46139868,46183344,46232155,46284561,46670755,46820874,47082883,47118092,47130231,47300528,47537505,47619907,47620162,47643752,47887194,48026743,48051804,48145819,48288970,48410263,48449314,48480993,48557325,48712795,49149355,49197091,49232060,49494996,49536919,49585555,49621579,49660554,49832931,49965903,50012924,50036042,50088643,50138551,50256732,50706672,50840803,50858323,51408874,51415496,51436234,51498727,51605706,51774885,51794480,51956262,52113992,52135194,52196100,52311594,52339795,52434679,52480999,52564925,52840506,52872907,52988482,53062195,53213094,53215447,53230411,53234931,53599221,53639395,54252310,54359995,54425383,54617227,54679971,54745687,54776154,54911324,55226312,55226544,55367155,55478586,55675840,55798195,55878231,56004906,56106141,56356023,56807803,56959496,57045006,57089155,57447379,57842433,57946764,57969722,58268790,58455354,58499347,58628241,58979226,59078472,59233555,59502666,59911923,59972385,60083866,60204259,60337802,60381980,60800395,60816427,61059560,61554711,61555754,61794955,62078755,62129601,62129862,62153376,62267371,62292667,62440279,62635320,62665736,62721651,62807754,63077910,63125337,63436483,63561320,63674634,63688663,63970544,64079433,64202155,64367274,64402231,64402714,64696892,64811720,65095063,65102772,65113483,65231994,65723482,65844485,66035155,66307724,66396746,66419571,66440586,66463281,66574856,66793025,66811008,66957834,67148444,67283104,67311560,67697107,68001595,68445154,68506005,68506986,68692005,69156723,69377131,69579082,69606728,69795525,69922548,70464735,70498953,70887970,70936555,70964211,71080266,71151307,71234714,71274764,71278305,71377603,71480060,71506485,71522444,71847979,71862771,71966862,71986929,72086871,72188995,72212491,72366524,72458376,72840092,72913185,72960474,73067996,73073072,73201352,73229659,73258892,73271472,73354963,73569610,73644194,73992355,74153946,74277259,74315991,74448560,74494506,74822395,74896713,75000343,75092750,75098755,75162384,75512995,75588645,75693492,75725505,75729034,75788107,75861884,76023427,76030192,76273584,76962423,77042586,77060234,77300179,77503300,77774064,77956483,78024610,78033962,78095251,78307569,78402595,78480931,78709431,78950995,79013382,79124045,79242186,79347164,79436299,80151630,80182555,80315179,80592355,80627888,80773872,81004519,81274555,81515673,81601914,81683395,81970161,82207206,82227955,82351521,82430406,82566794,82598204,82635955,83442423,83588779,83658764,83754630,83882683,83927325,83954611,84069644,84239432,84523964,84557682,84637256,84826423,84855125,84926451,84989666,85065564,85123866,85495072,85533966,85659751,85685834,85698725,85776072,85807782,85809962,85886995,85887249,85979991,86038282,86196860,86291803,86302699,86340092,86365483,86626794,86880610,86940776,86965555,87028131,87201619,87277402,87375452,87495822,87654423,87758803,87907195,88001539,88274743,88283532,88335002,88410466,88693923,88712755,88790826,88974536,89049905,89231347,89338272,89522480,89786874,89790571,90082234,90111300,90118506,90489386,90600691,90615594,90653546,90706374,90870606,91120795,91585882,91780023,91940042,91981879,92239819,92649405,92830759,92888354,92926856,92984755,93003960,93117595,93383155,93469322,93540199,93602179,93629532,93731561,93781195,93901531,93913795,94063550,94083114,94116391,94311355,94573303,94708555,94725320,94741194,94769361,94948854,94973155,95148249,95216913,95227642,95305591,95866903,95897995,96118720,96136282,96181956,96219066,96461179,96461719,96498081,96622963,96645739,96710826,96746312,96929383,97004234,97520313,97529466,97583525,97808373,98020074,98037525,98126539,98381674,98529595,98673546,98712439,98734106,98826032,98834266,98981527,99163146,99198092,99204224,99281612,99417043,99647786,...,951428529903584012419888840580117083410526295944748486379956947625283180334364309736927288604181282819660209394754230451475720313119837475024574403838870464716064424899523228685945855563873710303882475689980452617872083993226758806371575093563805299854928600298702981210465547537956416999438812603010397879190736690738640844855911963532672415455574381349008033535408870768324832897093366311613169024868639468569060214015182363514495407780017547284786805013180383331302298145738849668957145137200702443825114520461268041764629581904835809771377392255143415506751772271317410655209791595502445184078548845965685585874758030578336615917696260418564486978350469884011631377083089947459180267645640170606088242763170863256863509100808402268946846761205682255308687472929238225539262994529405135346152610493571797230276383851994990374643500798003872765093534877645815504756376881529255810311499144934128300537994980773813676784670396979093288751380963604564967816078955365230093645036536377760990964391969922974084930375164701932556123943283180441225287599983470552602503483456932167340688419891437698040080061487335924318059275464716794815081307471088099391567037711429215969270955896654374974519465954755254486742912808611630874370432980127362792157760172297375460638349950514117719874959815411717891524683448135328374855065750927025318456864915514929991142854893907456090055281741604018107842048123014102831390579379646143224466370063726065620963625330788216308196744050611190007928542181355171860892691903712927842006046111858354253182441405345777092343426480344446442461607204250514543491111860095791123533684901697576182111749854624695960526370160293396321039519532128124135362094372343859360139357253411476792126747133489118380283994830952989479121301569030492520414110062918542759568340598273446301058660520605520483594886327144410235503375926245826754431482211361899301097288749391919644196583314339633025725432590016194737035645757055085022826420766145723436684156794135097968403433287544686228578742331295203333137561938751607277934907355423583605508144809088117135211107537300880413565525975634315351943814234327346128941798113479899506730817574690853121500202928138810968583510373220581469021360845261587217013568193671385612821298605034990568661276166575726633528845685566560613473054699538393594420626976827872823537446240051018784529841807716825933330055589573095727276933354612625719113149838315624953722828432311248834355860732663952793821168742145832309935645838580655556174596758981958096970686195677049606}
15846 11367621889382547804612251057335733915909612853326811971263162104: {363929,458693,584933,679529,931433,1151429,1202548,1245593,1295846,1484918,1527653,1673846,1684073,1715333,1777829,2151928,2239766,2420919,2556329,2616326,2618393,2804393,2910328,3082853,3113753,3274119,3367718,3545513,3555206,3730073,3920632,4098329,4312613,4319679,4410711,4677688,5142475,5262399,5408453,5422166,5434168,5469029,5771429,5861993,6091855,6113439,6164918,6170970,6310983,6463913,6484468,6582368,6673829,6693688,6859588,6876915,7122329,7310226,7335376,7405164,7479833,7513075,7530399,8019219,8195606,8252298,8368553,8454328,8515973,8692613,8702650,8810213,8957033,9015690,9112886,9207928,9337829,9411115,9425513,9511119,9616736,9715155,9833753,9844118,9921029,9960952,10008233,10211429,10222708,10358919,10362832,10443180,10732133,10754918,10818828,10854578,11132655,11139392,11164073,11206071,11293338,11309155,11338564,11594213,11651429,11658186,11843126,11874832,11999031,12081028,12385286,12449093,12451828,12531816,12717112,12930329,12967288,13127813,13286006,13359186,13396999,13444450,13467448,13549673,13570986,13645286,13706403,13717432,13932148,14098293,14183126,14217208,14306751,14362118,14387993,14527013,14588199,15039364,15108713,15123471,15150879,15301829,15432111,15506540,15522053,15714329,15994359,16043033,16125029,16133340,16343333,16533929,16615493,16791855,17029718,17076329,17146255,17208896,17481029,17612788,17749829,17803493,17816743,17911312,18536919,18607848,18684329,18763973,18790118,18870053,18949529,19138570,19266713,19360008,19524115,19697848,19792793,20150226,20150858,20211353,20341733,20457115,20523929,20536564,20575506,20575913,20709926,20731673,20933829,20990633,21024915,21365223,21506153,21628228,21683128,21780009,21813929,22069529,22152200,22160079,22197029,22426552,22426576,22440086,22456063,22755653,22956326,22966284,23128567,23363763,23428938,23661413,23765455,23841555,23911672,23961029,24010853,24158968,24393519,24456523,24494650,24548538,24653368,24779033,24838118,24900472,24921225,25069839,25147973,25229871,25229898,25248255,25430992,25452490,25856153,25969615,26243993,26381752,26474799,26533718,26582640,26653829,26893829,26900631,26931472,27178839,27371429,27537833,27735039,27893093,28013031,28152473,28214918,28354816,28382246,28518546,28524415,28609866,28668329,28715033,28738373,28786940,29050118,29091448,29224450,29296133,29388931,29393580,29481029,29668125,29679471,29829112,29905470,30047606,30169829,30297906,30542988,30544406,30710031,30806213,31077029,31163538,31256933,31353152,31369526,31525829,31597791,31646000,31682153,31724119,31830955,31899168,32015813,32038648,32047348,32060343,32080090,32082329,32148773,32191046,32354918,32518646,32727879,32787353,33040810,33075679,33294783,33557751,33675355,33753592,33894053,33950650,34030479,34101452,34215593,34229298,34544328,34620293,34795718,34878964,34937890,34976632,35064233,35069340,35106329,35272296,35316329,35358233,35483753,35601750,35602118,35692313,35730583,35762966,35886564,35999103,36043479,36045029,36360700,36498053,36559529,36639364,36906533,36928023,36967529,36973615,37099450,37331993,37336255,37363526,37407296,37412633,37707439,37813913,37840886,37933673,37972791,37975200,37977355,37999718,38073029,38112773,38167075,38197146,38496108,38763929,38862369,38879608,38900933,39091828,39255855,39348329,39348711,39406373,39648972,39681333,40269355,40344233,40410426,40506880,40512475,40552133,40740780,41002373,41124200,41301926,41387962,41392553,41466473,41577113,41669093,41688283,41797529,41872912,41925468,41943833,42071429,42072355,42083208,42216773,42433829,42613829,42634419,42722100,42856075,42917993,42935813,42936751,43008568,43136511,43202153,43361093,43456832,43621766,43632840,43711973,43739559,43938329,44025029,44146073,44368338,44455529,44519340,44803506,44828655,44914853,44988559,45167513,45217829,45268073,45320170,45333364,45402019,45428728,45570240,45572826,45599743,45606086,45750053,45799529,45800490,45828700,46153528,46219155,46264725,46364548,46403813,46504495,46513718,46541696,46645673,46741913,46773929,46877752,46933529,47107026,47250970,47266118,47343609,47438873,47442903,47485829,47487296,47532713,47817232,47827973,48083512,48107650,48323023,48323226,48364313,48379493,48384639,48591173,48608256,48614970,48716360,48760564,48853856,48888936,49046968,49086945,49128293,49300432,49305029,49349033,49349040,49528312,49626053,49650115,49735114,49783108,49839559,49842713,50000453,50057573,50100329,50239718,50425733,50486826,50523929,50691353,50802329,50827526,51009029,51043690,51107319,51151839,51173093,51266520,51376553,51427290,51481588,51511193,51693663,51704918,51751529,51855968,51922719,52054853,52211429,52359408,52431423,52432118,52572293,52597829,52638976,52737471,52763033,52819450,52939433,52951973,53014553,53300006,53423208,53427115,53568773,53689733,53732006,53794386,53857733,53867770,53893529,53976773,54088312,54093951,54153833,54189029,54224153,54282533,54384204,54684288,54805905,54832519,54844073,54855776,54856948,54877829,54960588,54994440,55000053,55177839,55244393,55284472,55299173,55447046,55462986,55517670,55537829,55616155,55719351,55783193,55805394,55974226,56065829,56138153,56240248,56262291,56280655,56342633,56373029,56473829,56493893,56503913,56701164,56710255,56791013,56860406,56917529,56956408,57175973,57251429,57281606,57421718,57433528,57483929,57527650,57621029,57659919,57674835,57693413,57729180,57756329,58021529,58177193,58252999,58296473,58337964,58430873,58459632,58595993,58660736,58669253,58773929,58837673,58863352,58869364,58872716,58897615,58904334,58953446,59025833,59102873,59125660,59186693,59218848,59239529,59373593,59497829,59517939,59554690,59580138,59794853,59815529,59863493,60064755,60101109,60136553,60290872,60352793,60371429,60389993,60528964,60535913,60601253,60659813,60849351,60897029,60905887,60924329,60940613,61042073,61073513,61120133,61176233,61211429,61251173,61252428,61300133,61324313,61367333,61402939,61465193,61519529,61519824,61540075,61558118,61577792,61585829,61692329,61712748,61761893,61844633,61868745,61890329,61916453,61971113,61992473,61999529,62111333,62140313,62195031,62217413,62278313,62303333,62316953,62364329,62394473,62396933,62425829,62427832,62516155,62517893,62556773,62558633,62575013,62609093,62618693,62634053,62641433,62651429,62654213,62658329,62671529,62723753,62729887,62733929,62745029,62746373,62747033,62757029,62765093,62769029,62772329,62773913,62820915,62840308,63175359,63270279,63383340,63401079,63577718,63849592,63938938,64051183,64069072,64075959,64110806,64112538,64163031,64269370,64376486,64471263,64612719,64641324,64743100,65038166,65142490,65245125,65564918,65767086,65993328,66214072,66220118,66221271,66331603,66443908,66526418,66621204,66739386,67008976,67390406,67536786,67608896,67827231,68052306,68639155,68807608,69032890,69033180,69209802,69275016,69513592,69594800,69748792,70001503,70075718,70231311,70454008,70549402,70677138,70678399,70831286,70950792,70979908,71199370,71430243,71465628,71830646,71830791,72077706,72433455,72662194,72673971,72906628,73034872,73066886,73635392,73709503,73801718,73848090,73923686,73971448,74057599,74242494,74288726,74490831,74504308,74673208,74808188,75019386,75054063,75135446,75141364,75385098,75477475,75616118,76060008,76073179,76324450,76834186,77113311,77123244,77154351,77262352,77391691,77408559,77515766,77691720,77852719,77934393,77940472,78170988,78202791,78294150,78332170,78467391,78638968,78771296,79260759,79336888,79451650,79482723,79819641,79882564,79963180,80751446,80871115,80978246,81014650,81310999,81378465,82072948,82164231,82366986,82839468,82839816,82871168,82884655,83217879,83218570,83513760,83628868,83654918,83743672,83935555,84007359,84092966,84103880,84139450,84167116,84653023,84745718,84899512,85439244,85567509,85822118,85823032,86472778,86803696,86920146,86954583,86975992,87008410,87403185,87683031,87827606,88035686,88450118,88468839,88559428,88587448,88617708,89081344,89093455,89253999,89277112,89350075,89403055,89708671,89882486,90125799,90458155,90506703,90572970,91050115,91334995,91341340,91342648,91501690,91517239,91573615,91583846,91589340,92076326,92208964,92333631,92565206,93060700,93194793,93230064,93339926,93436118,93914918,93952980,93998604,94211631,94616865,94618948,94773688,94827355,94955606,95037740,95341980,95511951,95685007,95801167,95817028,95955816,95982572,96115828,96550911,96604071,96611168,96712118,96879125,96909367,97045338,97217580,97280632,97654158,97695296,97847991,97973126,98585223,98597023,98871928,99087988,99183955,99326008,99461586,99595119,99660879,99862284,...,1427142794855376018629833260870175625115789443917122729569935421437924770501546464605390932906271924229490314092131345677213580469679756212536861605758305697074096637349284843028918783345810565455823713534970678926808125989840138209557362640345707949782392900448054471815698321306934625499158218904515596818786105036107961267283867945299008623183361572023512050303113306152487249345640049467419753537302959202853590321022773545271743111670026320927180207519770574996953447218608274503435717705801053665737671780691902062646944372857253714657066088382715123260127658406976115982814687393253667776117823268948528378812137045867504923876544390627846730467525704826017447065624634921188770401468460255909132364144756294885295263651212603403420270141808523382963031209393857338308894491794107703019228915740357695845414575777992485561965251197005809147640302316468723257134565322293883715467248717401192450806992471160720515177005595468639933127071445406847451724118433047845140467554804566641486446587954884461127395562747052898834185914924770661837931399975205828903755225185398251011032629837156547060120092231003886477088913197075192222621961206632149087350556567143823953906433844981562461779198932132881730114369212917446311555649470191044188236640258446063190957524925771176579812439723117576837287025172202992562282598626390537977685297373272394986714282340861184135082922612406027161763072184521154247085869069469214836699555095589098431445437996182324462295116075916785011892813272032757791339037855569391763009069167787531379773662108018665638515139720516669663692410806375771815236667790143686685300527352546364273167624781937043940789555240440094481559279298192186203043141558515789040209035880117215188190120700233677570425992246429484218681952353545738780621165094377814139352510897410169451587990780908280725392329490716615353255063889368740131647223317042848951645933124087879466294874971509449538588148885024292105553468635582627534239631149218585155026235191202646952605149931317029342868113496942804999706342908127410916902361033135375408262217213632175702816661305951320620348288963451473027915721351491019193412697170219849260096226362036279682250304392208216452875265559830872203532041267892380825520352290507078419231947907552485852991914249863589950293268528349840920209582049307590391630940465241809235306169360076528176794762711575238899995083384359643590915400031918938578669724757473437430584242648466873251533791098995929190731753113218748464903468757870983334261895138472937145456029293515574409}
15847 11417604365933538288001232575171389497720573778784253443012528846: {1503185,1803822,1882937,1943769,2227377,2262689,2510769,2546537,2689910,3227892,3305753,3359649,3430553,3495557,3637910,3829166,3924489,4092977,4365492,4754897,4900790,5051577,5332809,5707049,5759572,5847110,5856977,5880948,5915558,6368609,6418454,6792710,7016532,7397537,7598357,8056937,8105585,8133249,8151252,8227960,8367110,8414644,8574485,8715833,8827169,9067478,9169220,9247377,9256455,9304433,9453782,9645857,9726702,9746968,9873552,10040532,10212614,10289382,10390478,10567910,10692292,10777646,10965339,11003064,11101073,11107746,11127473,11346377,11509910,11540297,11784017,11915462,12002753,12020920,12293409,12298073,12378447,12440057,12451190,12507989,12681492,12778385,12858758,12953540,13053975,13434737,13523535,13669329,13733057,13811822,13811892,13924240,14173205,14192513,14425104,14766177,14843540,14938286,14941428,14957189,15057784,15101285,15334062,15544248,15564785,15664770,15672398,15896390,15998708,16132377,16209110,16228242,16281867,16323758,16650038,16709088,16793513,16833206,16834310,16940007,17007846,17146790,17235617,17408294,17415185,17487279,17764689,17771510,17812248,17825489,18094648,18121542,18273953,18275204,18577929,18677742,18797724,18799205,18856673,18972737,19075668,19383175,19450932,19623233,19623254,19844357,19865078,19929009,20038779,20063753,20164628,20166675,20201172,20356479,20467929,20576148,20657429,20898222,20922713,21025409,21063809,21139097,21167366,21274689,21325812,21511120,21543177,21571697,21593237,21787913,21876257,22007078,22015985,22252118,22389140,22517966,22559046,23084033,23240558,23259810,23565038,23639249,24195782,24200010,24622310,24715892,24810464,25085297,25312166,25455017,25544577,25670705,25813344,25943717,26100473,26419182,26553734,26614649,26866968,27035285,27077633,27103910,27434008,27537977,27690250,27911772,28033190,28033220,28033817,28185177,28486964,28707855,28992233,29040012,29094806,29142089,29534393,29546772,29889590,30180113,30198710,30225339,30226287,30604553,30621712,30785729,30804846,30816710,30863259,31064889,31125590,31151684,31238584,31766822,31788740,32442342,32524692,32700758,32710673,32731384,32977190,33206849,33210089,33228300,33426452,33582758,33639828,33639864,33660129,33664340,33986342,34013057,34019657,34434489,34449426,34958726,35086937,35143407,35221589,35299732,35349614,35443520,35545493,35646446,35867508,35903558,35983675,36058049,36238452,36364310,36638798,36741975,36822807,36980052,37021358,37257177,37286390,37350708,37632497,37844847,38024728,38146488,38178735,38539913,38841569,39191440,39243269,39314033,39337862,39557500,39572628,39750137,39800577,39873960,40048310,40059185,40094966,40247993,40384337,40397208,40481009,40723984,40946708,41018033,41309606,41346353,41551384,41840078,42073073,42130388,42191990,42301814,42322377,42505637,42532224,42573369,42626815,42747124,42777819,42914799,42916097,43137878,43180410,43235033,43337273,43390793,43413257,43575177,43598705,43637172,43720790,43836675,44090370,44225366,44387249,44393044,44743668,44858205,45071409,45123713,45338297,45373972,45446859,45450875,45639064,45799205,45814482,45816609,45945038,45981713,46056257,46059104,46745307,46746593,46759120,47029728,47054289,47088869,47255429,47327273,47408273,47469000,47626214,47837078,47848752,47998804,48032849,48057972,48071022,48120135,48151973,48286569,48297617,48373913,48532377,48599510,48777969,48864785,49210217,49237364,49379609,49543217,49561215,49692353,49836857,50254337,50630388,50633600,50847329,50864789,50925975,50929528,50939753,51152178,51328144,51343947,51405250,51505433,51790646,51816492,51880838,52098926,52193577,52318446,52341140,52406835,52464948,52604010,52754513,52865296,52885142,52908444,53222249,53222534,53402625,53403177,53644449,53760710,53810033,53829846,53880568,53959337,54006518,54321040,54541050,54624353,54816758,54959046,55573286,55649175,55846577,55868393,55900624,56025353,56045289,56060438,56110944,56196206,56573537,56601473,56666705,56761329,56785910,56845892,56962800,56999577,57212129,57285875,57295719,57515348,57560558,57691910,57744162,57937313,57955685,58177120,58319412,58597190,58632854,58637742,58713089,59093249,59157784,59166137,59195669,59359120,59473458,59605766,59738008,59771540,60091502,60104390,60206657,60615639,60734693,60755942,60760320,60763768,60824393,60895450,60950705,61030193,61067320,61111170,61200614,61308710,61625540,61647257,61686300,61910390,61952889,61968257,62081943,62228885,62809368,62888202,63124812,63202049,63257204,63905513,64083150,64351985,64410902,64430968,64512852,64725017,64811008,64819960,65121809,65185248,65339057,65432649,65449260,65731886,65798720,66411686,66552507,66588713,66779010,67205259,67287113,67315768,67422113,67604558,67610390,67892357,67980255,68000046,68143092,68197913,68202452,68355360,68359239,68409129,68569720,68571185,68605793,68700735,68743050,68760134,68809097,68924884,69105590,69230292,69406073,69419777,69546822,69770577,69812544,69908564,70300310,70316628,70660539,70876455,70899177,71195510,71230944,71304533,71680313,71725848,71783942,71791910,72106934,72125268,72161475,72365873,72484839,72512272,72912384,72922455,73074540,73140846,73275713,73280784,73325920,73333404,73570452,73579190,73586705,73590895,73694417,73793057,73907075,73950648,74023560,74287073,74292468,74407192,74602671,74674662,74970389,75016388,75095153,75359577,75363590,75601552,75661205,75730239,75738662,75953234,75996113,76103993,76241289,76565535,76879892,76899780,76930529,76972240,77140935,77222382,77514017,77557377,77673206,77783952,77941358,77946176,78034790,78117473,78294689,78539112,78550385,78648177,78958464,79229175,79357252,79429814,79440184,79522049,79811990,79924817,79950009,79970726,80017529,80086340,80134812,80595953,80598009,80691579,80801655,80928875,80951726,81014873,81132468,81182774,81576306,81640553,81669904,81844913,82026432,82224593,82283664,82285422,82440882,82491660,82682198,82767590,82926708,82926977,83054885,83170569,83194479,83276505,83651798,83708091,83761220,83893409,83961339,84233812,84355349,84360372,84511120,84534772,85051746,85120553,85290609,85434612,85483384,85550708,85922409,85961684,86009510,86049326,86132577,86150292,86188432,86291475,86339093,86376569,86459078,86512937,86593770,86692229,86891990,86910257,86993500,87185990,87288494,87506946,87689448,87991104,88067510,88095689,88295028,88304046,88309074,88356501,88421702,88430169,88636769,88688490,88724885,88759397,88828272,88923158,88985848,89286233,89332035,89370207,89883017,90049048,90137249,90235958,90436308,90736408,90793446,91133285,91293590,91354757,91597526,91878642,91993913,92044240,92130389,92182279,92279736,92294297,92337177,92366688,92449217,92464310,92569122,93130385,93341510,93422753,93510235,93641748,93926705,94165766,94236184,94260462,94367057,94601056,95075010,95202233,95239814,95240324,95287504,95366577,95385233,95499233,95774388,95908407,96053486,96103608,96166209,96168807,96291638,96404055,96564729,96577940,96658097,96820526,96848873,96898628,96961986,97114650,97425590,97460633,97557249,97713735,98298710,98347377,98394182,98464120,98536289,98650629,98989992,99073838,99171110,99243158,99311177,99321108,99330177,99550793,99665862,99789627,99853205,99931806,99953975,...,1902857059807168024839777681160234166821052591889496972759913895250566360668728619473854577208362565639320418789508460902951440626239674950049148807677740929432128849799046457371891711127747420607764951379960905235744167986453517612743150187127610599709857200597405962420931095075912833998877625206020795758381473381477281689711823927065344830911148762698016067070817741536649665794186732623226338049737278937138120428030364727028990815560035094569573610026360766662604596291477699337914290274401404887650229040922536083529259163809671619542754784510286831013503544542634821310419583191004890368157097691931371171749516061156673231835392520837128973956700939768023262754166179894918360535291280341212176485526341726513727018201616804537893693522411364510617374945858476451078525989058810270692305220987143594460552767703989980749287001596007745530187069755291631009512753763058511620622998289868256601075989961547627353569340793958186577502761927209129935632157910730460187290073072755521981928783939845948169860750329403865112247886566360882450575199966941105205006966913864334681376839782875396080160122974671848636118550929433589630162614942176198783134075422858431938541911793308749949038931909510508973485825617223261748740865960254725584315520344594750921276699901028235439749919630823435783049366896270656749710131501854050636913729831029859982285709787814912180110563483208036215684096246028205662781158759292286448932740127452131241927250661576432616393488101222380015857084362710343721785383807425855684012092223716708506364882810691554184686852960688892884923214408501029086982223720191582247067369803395152364223499709249391921052740320586792642079039064256248270724188744687718720278714506822953584253494266978236760567989661905978958242603138060985040828220125837085519136681196546892602117321041211040967189772654288820471006751852491653508862964422723798602194577498783839288393166628679266051450865180032389474071291514110170045652841532291446873368313588270195936806866575089372457157484662590406666275123877503214555869814710847167211016289618176234270422215074601760827131051951268630703887628468654692257883596226959799013461635149381706243000405856277621937167020746441162938042721690523174434027136387342771225642597210069981137322552333151453267057691371133121226946109399076787188841253953655745647074892480102037569059683615433651866660111179146191454553866709225251438226299676631249907445656864622497668711721465327905587642337484291664619871291677161311112349193517963916193941372391354099212}
15848 11467804890053972726436403614982902581445122101964692623928792448: {490327,727858,917386,963007,1169866,1359058,1715551,1862866,2302858,2405096,2491186,2591692,2705733,2835727,2969836,3055306,3114151,3347692,3368146,3430666,3555658,3576751,3761287,4034865,4303856,4479532,4771087,4841838,5112658,5227207,5232652,5236786,5456865,5608786,5743749,5820656,6134047,6165706,6227506,6314551,6494767,6548238,6735436,7033687,7091026,7110412,7199465,7351185,7460146,7480807,7659151,7841264,8196658,8281087,8528597,8625226,8639358,8723167,8770665,8811367,8821422,8873337,9251287,9355376,9601927,9627681,10038607,10189065,10284950,10518305,10524798,10733551,10816906,10844332,10868336,10938058,10992967,11423887,11461525,11542858,11723986,11853007,12183710,12226878,12329836,12341940,12550665,12621966,12927826,12968936,13164736,13175561,13347658,13365365,13387376,13601217,13719176,13719751,13753830,14180673,14244658,14590053,14620452,14670752,14806447,14810328,14959666,15026150,15060798,15138367,15318921,15434073,15551647,15585717,15798751,15832817,15851865,16038438,16166469,16191925,16391212,16454527,16504596,16661619,16737106,16908656,17031946,17264865,17385226,17405300,17620426,17873193,17914066,18031380,18225772,18415856,18554425,18675658,18676785,18793087,18822230,18851026,18872647,19022238,19233472,19288137,19430310,19667506,19688236,19842058,19921904,19998385,20016466,20214151,20422858,20445416,20604751,20717733,20717838,20725664,20838247,20886360,20993551,21464266,21509836,21637656,21709156,22265310,22278784,22328146,22378327,22407429,22412142,22586676,22618310,22677128,22758847,22844005,23001093,23137567,23188426,23302858,23316372,23497155,23508597,23686252,23749664,23844585,23998062,24004757,24039151,24162056,24313665,24342363,24485637,24560287,24770572,24898186,24903656,24975057,25004167,25063632,25205785,25249809,25251465,25434224,25511769,25720185,25860658,25934576,26112441,26255626,26572012,26657265,26718372,26793998,26888900,26934896,27099346,27141972,27182313,27290572,27333761,27412806,27434864,27864296,27897127,27986425,28016613,28196586,28366252,28434416,28613502,28639961,28724236,28742551,28775986,29054026,29176398,29300407,29434881,29577607,29784751,29797617,30078728,30217426,30246942,30265567,30301758,30603658,30606847,30864222,30894865,30946327,31013080,31044106,31284007,31347333,31428658,31751049,31953967,31988718,32086066,32250058,32266680,32519113,32682607,32686666,33010617,33010927,33067858,33230986,33271637,33378177,33583710,33597367,33776949,33791551,33838569,33920647,33985087,34059436,34152658,34292510,34417792,34732373,34860837,34889715,34962058,35041525,35195767,35225576,35258767,35347557,35384551,35499658,35606986,35608705,35633486,35822624,36009151,36293673,36300015,36357461,36933465,37073838,37215696,37368658,37527946,37580236,37740106,37899058,37968249,38277140,38533426,38720016,38730751,38939605,39024151,39048230,39199327,39395696,39585586,39605551,39628773,39735925,39830601,39934181,40300452,40301716,40422706,40655865,40683466,40746751,40914230,41027551,41047858,41073128,41139367,41151012,41151826,41417647,41419852,41463346,41473087,41535375,41694127,41783065,41867658,41968807,41981266,42049785,42049830,42080425,42241687,42730446,42835687,42942751,43012306,43256456,43366256,43560018,43627858,43631647,43642209,43736551,43841167,43979749,44124665,44139058,44153287,44304400,44320158,44394058,44411407,44563337,44834385,44853104,44853152,44871487,44880172,44912126,45275551,45298065,45511306,45912652,45932568,46207269,46225065,46257134,46411567,46508551,46653487,46688385,46727526,46857876,47145497,47322826,47530910,47556367,47603167,47650233,47683110,47823344,47922058,48021706,48317936,48387751,48614551,48663513,48787038,48913046,48989300,49051137,49097076,49151527,49306736,49372207,49446875,49465785,49558066,49634647,49676236,49800944,49842450,50066287,50139678,50237737,50295946,50374137,50459742,50459796,50496510,50743433,50861984,50904980,50979513,51183385,51195751,51399151,51480007,51674139,51680887,51712306,51720847,51763061,51939230,52077247,52270757,52438089,52487986,52581751,52662985,52763504,52949598,52961551,53024421,53036647,53067436,53165280,53168297,53307658,53407807,53433905,53469669,53699551,53787658,53801262,53855337,53862944,53986687,54163807,54304207,54357678,54546465,54581551,54684367,54742858,54921751,54958197,55075666,55353247,55418551,55431673,55470078,55491305,55532037,55786186,55804327,55929585,56026062,56148847,56304946,56377097,56429836,56514751,56664151,56709632,56717465,56764492,56811751,57037092,57044167,57048830,57219732,57300127,57336658,57430066,57476746,57573880,57794551,58006807,58059151,58100236,58182896,58188751,58442551,58448900,58592266,58615927,58777862,58787160,58901297,58962058,59006793,59229007,59336250,59341327,59358942,59385751,59646247,59658224,59810940,59814151,59875927,59916751,59977447,59998505,60072465,60095212,60142449,60155647,60271207,60339658,60548767,60595812,60620047,60843751,60959167,61055287,61085976,61088812,61194607,61269487,61420062,61483327,61546705,61612426,61616887,61755487,61862407,61964409,61985167,62058751,62154058,62157751,62204551,62275687,62292751,62327076,62411551,62426167,62513866,62532727,62573551,62640007,62658007,62706304,62708551,62724751,62730727,62733607,62739052,62760117,62762551,62771551,63051658,63195582,63287985,63292000,63364306,63448238,63452721,63661910,63798336,64031626,64077296,64094696,64120686,64160180,64164658,64297546,64382092,64706817,64709836,64770615,65037292,65106293,65426425,65455758,65574706,65581185,66081620,66135555,66151358,66338049,66589566,67115502,67350710,67507184,67788106,67901300,67942897,68060958,68202904,68431186,68458596,68721723,68917557,69088656,69240586,69510161,69591436,69757928,69875780,69953264,70128466,70138680,70212658,70544592,70632658,70716466,70967506,71057365,71203500,71204236,71384626,71439321,71461166,71525932,71755617,71773128,71894185,71998206,72086958,72090058,72106533,72721400,72899265,72996106,73119058,73278728,73813066,73856046,73935058,73947230,74135321,74198900,74663986,74672510,74714425,74727052,74797961,74814592,74825266,75414878,75627826,75681772,75867346,75945582,75950400,75954710,75999436,76146058,76225546,76334150,76394292,76728267,76992216,77031925,77107875,77527858,77610661,77685969,77724738,77759216,77801866,77821257,77862617,78148389,78183656,78477669,78511710,78696658,78697422,78792917,78812746,78906015,79071505,79297944,79327713,79362666,79394357,79833801,80538710,80641065,80688466,80744769,80820852,81009777,81013760,81024950,81104266,81481560,81811575,82004746,82225137,82248400,82438569,82456661,82603852,82729049,82775924,82785106,82932946,83154226,83338186,83359929,83376566,83529017,83595058,83745824,83850936,83887666,84090657,84142858,84144710,84166416,84294309,84433546,84867658,85178865,85227658,85253065,85268838,85444200,85634593,85712150,85835986,85871626,85873502,86017136,86156105,86273022,86340837,86404306,86537865,86616243,86722186,86913664,87243532,87265680,87385705,87423946,87479118,87522617,87876658,87895785,87949281,87956613,88050058,88292146,88736676,88911058,89038680,89210187,89408649,89607012,89657310,89829706,89977118,90137253,90156585,90335026,90435658,90536146,90640340,90666728,90804038,90857456,91133913,91140480,91145652,91199486,91212172,91343175,91500106,91599058,91600980,91657400,91666755,91800921,91887829,91963065,92307056,92438310,92529450,92729096,92807626,92865585,93008990,93027436,93083392,93291346,93483826,93547858,93755504,93770485,93867058,94214052,94332303,94501940,94532236,94687218,94877746,94885806,94971658,94974592,95065426,95634464,95655946,96094817,96099865,96124725,96167024,96215300,96616353,96646046,96646452,96728626,96758986,96769278,97182346,97216512,97229940,97432720,97521128,97707712,97777872,98093936,98173890,98256586,98597829,98600864,98610058,98698066,98698080,99056624,99196565,99252106,99300230,99470228,99566216,99617529,99679118,99685426,...,2854285589710752037259666521740351250231578887834245459139870842875849541003092929210781865812543848458980628184262691354427160939359512425073723211516611394148193274698569686057837566691621130911647427069941357853616251979680276419114725280691415899564785800896108943631396642613869250998316437809031193637572210072215922534567735890598017246366723144047024100606226612304974498691280098934839507074605918405707180642045547090543486223340052641854360415039541149993906894437216549006871435411602107331475343561383804125293888745714507429314132176765430246520255316813952231965629374786507335552235646537897056757624274091735009847753088781255693460935051409652034894131249269842377540802936920511818264728289512589770590527302425206806840540283617046765926062418787714676617788983588215406038457831480715391690829151555984971123930502394011618295280604632937446514269130644587767430934497434802384901613984942321441030354011190937279866254142890813694903448236866095690280935109609133282972893175909768922254791125494105797668371829849541323675862799950411657807510450370796502022065259674313094120240184462007772954177826394150384445243922413264298174701113134287647907812867689963124923558397864265763460228738425834892623111298940382088376473280516892126381915049851542353159624879446235153674574050344405985124565197252781075955370594746544789973428564681722368270165845224812054323526144369042308494171738138938429673399110191178196862890875992364648924590232151833570023785626544065515582678075711138783526018138335575062759547324216037331277030279441033339327384821612751543630473335580287373370601054705092728546335249563874087881579110480880188963118558596384372406086283117031578080418071760234430376380241400467355140851984492858968437363904707091477561242330188755628278705021794820338903175981561816561450784658981433230706510127778737480263294446634085697903291866248175758932589749943018899077176297770048584211106937271165255068479262298437170310052470382405293905210299862634058685736226993885609999412685816254821833804722066270750816524434427264351405633322611902641240696577926902946055831442702982038386825394340439698520192452724072559364500608784416432905750531119661744407064082535784761651040704581014156838463895815104971705983828499727179900586537056699681840419164098615180783261880930483618470612338720153056353589525423150477799990166768719287181830800063837877157339449514946874861168485296933746503067582197991858381463506226437496929806937515741966668523790276945874290912058587031148818}
15849 11518224405514238299916292615565047952333499976471897932359420261: {1091787,1376079,1754799,2038587,2104459,2674087,2794299,3006370,3239615,3454287,3607644,3712295,3736779,3765874,3887538,3906799,4184615,4454754,4525378,4582959,5021538,5043071,5052219,5093074,5145999,5333487,5379820,5599415,6181319,6455784,6540815,6611506,6719298,6861106,6991114,7124447,7262757,7275820,7658332,7668987,7790879,7848978,7855179,8163947,8185954,8359787,8413179,8419295,8730984,8888015,9248559,9341259,9509794,9801580,9822357,10103154,10536599,10636539,10665618,11006327,11190219,11347819,11414098,11519144,11694220,11713954,11761896,11831116,12004279,12294987,12314027,12737218,12836908,12897979,12937839,12959037,13232133,13280231,13555415,13585420,14033064,14795074,15171307,15196714,15412295,15418271,15427425,15787197,15820319,16113874,16211170,16225359,16266498,16302504,16407087,16455920,16734220,16829288,17148970,17314287,17431666,17483807,17585979,17654338,17889739,18134956,18275565,18338440,18340317,18494754,18512910,18515387,18608866,18907564,18932949,19023527,19227287,19291714,19391739,19453404,19493936,19747104,19842487,19846879,20021487,20081064,20425228,20489015,20578764,20630745,20780956,21066487,21135820,21141799,21366987,21384584,21395819,21498599,21555292,21756625,21790699,21930678,22006128,22202146,22215492,22221839,22254946,22285159,22439499,22539225,22591197,22692754,22782215,23019820,23080594,23568034,23830924,24005506,24041840,24057657,24233879,24381259,24586818,24596146,24610295,24756894,24880114,24902380,25015978,25105659,25362984,25547919,25556770,25717516,25907080,26077839,26107950,26318887,26430639,26504327,26869474,26871099,26887295,26967071,27010127,27047070,27136445,27338658,27466114,27623644,27623784,27848480,28013487,28233345,28276539,28346410,28385026,28533357,28787627,28850208,28995919,29145465,29501259,29532354,29607815,29687080,29763087,29876572,29882856,29914378,30024699,30115568,30202570,30371447,30634287,30668124,30777739,30822379,30963215,31076757,31088496,31129570,31329540,31344796,31792780,31997416,32000839,32196399,32213639,32264754,32418220,32427191,32456484,32563734,32647516,32874347,33215015,33300076,33397965,33418176,33492219,33587026,33611125,33618213,33666412,33668620,33880014,33894047,33927465,34015692,34113215,34293580,34471234,34782639,34816588,34830370,34954287,34974558,35457815,35529378,35543020,35624496,35650978,35905295,35938987,35997093,36189296,36243084,36547906,36550408,37155858,37347279,37355484,37595448,37598410,37713346,37849399,37878959,37945474,38096831,38151336,38544811,38766350,38790987,38901864,39230759,39246466,39246508,39248287,39383439,39688714,39725039,39730156,39858018,40077558,40127506,40190997,40329256,40333350,40402344,40601711,40649019,40712958,40935858,41119209,41152296,41314858,41796444,41845426,42050818,42127618,42278194,42294879,42334732,42511039,42549378,42574295,42651624,42920253,43022240,43086354,43143394,43163979,43186474,43575826,43581039,43752514,43764597,44014156,44031970,44047487,44504236,44778280,44983051,45035932,45118092,45326139,45344059,45370413,45452637,45810407,45905487,45987559,46068671,46168066,46296333,46462039,46481116,46519620,46566159,46975295,47130076,47142987,47278498,47846425,47983077,48129099,48375087,48391564,48400020,48520699,49029999,49209599,49244620,49385887,49431784,49601787,49620928,49846479,50170594,50375565,50377145,50624332,50786327,50910034,51089154,51228987,51341410,51438765,51626688,51774815,51887434,52200946,52443087,52494347,52838364,53107468,53117867,53229298,53249487,53410479,53424619,53450229,53733936,53816911,54070570,54155266,54207820,54759611,54868016,55075954,55380500,55610757,55823544,56027959,56052987,56066380,56066440,56067634,56082859,56100215,56291919,56370354,56610159,56848587,56973928,57390815,57415710,57800139,57984466,58080024,58189612,58284178,58520167,58572345,59068786,59093544,59378379,59677541,59779180,60360226,60397420,60450678,60452574,60634059,61025199,61038187,61209106,61236625,61243424,61371345,61571458,61571787,61609692,61633420,61726518,61727739,62095295,62129778,62195019,62251180,62303368,62308559,62477168,62616571,62801487,62971899,63074745,63533644,63577480,63631225,64095669,64118887,64418699,64518459,64884684,65049384,65340027,65401516,65421346,65441787,65462768,65954380,66126859,66208587,66334295,66413698,66420178,66456600,66480237,66484127,66591087,66852904,67165516,67279656,67279728,67320258,67328680,67368189,67560811,67714391,67879951,67972684,68026114,68039314,68266959,68410699,68868978,68898852,69385701,69608999,69917452,70091289,70173874,70286814,70443178,70537295,70599464,70699228,70814999,70887040,70955615,70984239,71090986,71292892,71296365,71524665,71735016,71807116,71883087,71967350,72032559,72116098,72476904,72625295,72728620,73061125,73180557,73277596,73337227,73369569,73483950,73645614,73960104,74042716,74287127,74337099,74514354,74572780,74701416,74763675,75119015,75209517,75264994,75443919,75689613,75689694,75744765,76049456,76222087,76292976,76357470,76361015,77079826,77568459,77683138,77908845,77976767,78382880,78423815,78486538,78500999,78628066,78675724,78731979,79115000,79145256,79333387,79424397,79500274,79601154,79680679,79747920,79961487,80096620,80113291,80118370,80189932,80200225,80477615,80495986,80681487,80701893,80768674,80794416,80887295,80926571,80962018,81137959,81192431,81296615,81447968,81536517,81893416,82025359,82036066,82114287,82602025,82613499,82619212,82692706,83102768,83205117,83679279,83680156,84039093,84146146,84260776,84383980,84457419,84603628,84644754,84876625,85011274,85064448,85146738,85253630,85330987,85494248,85555638,85573245,85623019,85827071,85829598,85832194,86004987,86145099,86215119,86275756,86360820,86470066,86569031,86674546,86781586,86826514,86989295,87120439,87150354,87197410,87274344,87344725,87441580,87498007,87673350,87888399,88024007,88166793,88180740,88443087,88450732,88774498,88786088,89004375,89005295,89038413,89407415,89487336,89716410,90092779,90142818,90247426,90509487,90676594,90747944,90893718,90901750,91278128,91598410,91628964,91633218,91890076,91963426,92028359,92112514,92118208,92130093,92418639,92530087,92748625,93231087,93408815,93490614,93493186,93518240,93641659,93770799,93925487,94059456,94108578,94177738,94379119,94431719,94510858,94577487,94602215,94654546,94793373,94816546,94938000,94999295,95046459,95172357,95252428,95492865,95568671,95674156,95697504,95997608,95999659,96047439,96065698,96115944,96142044,96181029,96240270,96246987,96303946,96353611,96446319,96486347,96573138,96595234,96747826,97064754,97174519,97199020,97555938,97729570,98183637,98362059,98420434,98474728,98759218,99006779,99086434,99122430,99201679,99227037,99384706,99673714,99884349,...,4281428384566128055889499782610526875347368331751368188709806264313774311504639393816172798718815772688470942276394037031640741409039268637610584817274917091222289912047854529086756350037431696367471140604912036780424377969520414628672087921037123849347178701344163415447094963920803876497474656713546790456358315108323883801851603835897025869550084716070536150909339918457461748036920148402259260611908877608560770963068320635815229335010078962781540622559311724990860341655824823510307153117403160997213015342075706187940833118571761143971198265148145369780382975220928347948444062179761003328353469806845585136436411137602514771629633171883540191402577114478052341196873904763566311204405380767727397092434268884655885790953637810210260810425425570148889093628181572014926683475382323109057686747221073087536243727333977456685895753591017427442920906949406169771403695966881651146401746152203577352420977413482161545531016786405919799381214336220542355172355299143535421402664413699924459339763864653383382186688241158696502557744774311985513794199925617486711265675556194753033097889511469641180360276693011659431266739591225576667865883619896447262051669701431471861719301534944687385337596796398645190343107638752338934666948410573132564709920775338189572872574777313529739437319169352730511861075516608977686847795879171613933055892119817184960142847022583552405248767837218081485289216553563462741257607208407644510098665286767295294336313988546973386885348227750355035678439816098273374017113566708175289027207503362594139320986324055996915545419161550008991077232419127315445710003370431060055901582057639092819502874345811131822368665721320283444677837894576558609129424675547367120627107640351645564570362100701032711277976739288452656045857060637216341863495283133442418057532692230508354763972342724842176176988472149846059765191668106220394941669951128546854937799372263638398884624914528348615764446655072876316660405906747882602718893447655755465078705573607940857815449793951088028604340490828414999119028724382232750707083099406126224786651640896527108449983917853961861044866890354419083747164054473057580238091510659547780288679086108839046750913176624649358625796679492616610596123803677142476561056871521235257695843722657457558975742749590769850879805585049522760628746147922771174892821395725427705918508080229584530384288134725716699985250153078930772746200095756815736009174272420312291752727945400619754601373296987787572195259339656245394710406273612950002785685415418811436368087880546723227}
15850 11568863860137562788605724939218979390375836341951341224719317274: {648169,742741,837241,931669,980654,1308661,1402729,1455716,1590649,1778281,1834772,1926014,2339732,2619061,2718116,2805109,3431102,3725732,4191289,4374889,4509555,4605716,4810192,4982372,5183384,5411466,5470441,5648811,5671454,5831307,5923861,5939672,6014329,6110612,6228302,6682131,6695384,6724775,6736292,6788067,6861332,6915049,7111316,7153502,7183861,7522574,7532307,7541269,7639611,7986409,8069730,8606581,8607712,8959064,8959381,9094775,9398761,9542174,9572915,9683676,9917259,10078947,10079251,10225316,10272121,10291659,10454414,10465304,10473572,10486671,10619449,10879189,10913730,11217572,11224501,11487498,11641312,11654521,11773467,11997241,12251975,12268094,12278931,12331412,12455012,12629102,12989534,13096476,13187689,13470872,13609429,14067374,14182052,14196841,14220824,14264691,14398930,14447509,14614261,14617775,14702370,14725627,14788895,14920292,14961614,15112789,15154731,15318302,15682528,15998427,16046135,16102069,16184041,16265941,16347769,16393316,16562174,16918549,16981775,17057194,17121147,17250452,17278716,17324089,17446334,17485801,17541330,17570931,17622734,17642844,17746674,17808361,17888821,17969209,18370069,18502574,18710752,18711511,18769129,18928249,19007701,19105827,19203854,19255362,19719529,20077214,20378130,20569900,20581621,20737429,20917775,21036610,21049596,21052427,21280489,21467102,21633812,21688664,21736672,21820021,21876116,21985934,22192611,22668695,22795071,22812649,22847774,22888501,22923050,23085716,23447972,23634455,23706014,24017641,24170811,24316755,24367420,24399747,24453756,24659672,24683880,25101330,25243932,25531535,25723455,25855652,25937872,25976195,26147499,26329472,26351122,26419775,26481507,26695316,26730730,26774752,26944115,27093049,27202434,27379321,27438352,27439502,27507660,27742131,27769365,27913299,27997739,28361346,28489316,28512889,28723381,28774775,28863349,28937571,29180106,29212009,29240904,29341504,29350969,29489641,29612894,29620656,29788655,29919332,30052300,30121596,30276734,30452281,30637842,30860521,30868146,31103294,31127975,31131241,31171434,31597502,31665634,31703730,31736149,31981607,32069689,32076876,32146895,32202601,32268949,32332938,32383850,32782424,32896017,32909054,33009192,33303219,33323238,33382419,33474212,33817312,34039131,34063892,34354069,34529555,34529730,34545769,34620891,34673209,34770452,34800361,34810600,35116981,35240852,35288099,35352051,35368981,35494549,35746386,35807209,35828132,35931769,36008259,36062760,36344891,36451544,36550249,36831712,36880227,36894219,36978901,37108850,37135341,37320171,37345715,37351316,37353570,37523967,37524841,37586174,37644460,37645369,37702052,37745294,37825621,37945429,38044476,38124601,38335155,38431679,38466944,38576274,38860620,38952169,39161925,39180995,39335012,39376472,39684116,39740975,39843808,39880681,39996770,40032932,40304211,40394869,40428302,40508341,40522775,40564969,40570605,40809395,40845716,40890832,41007987,41199171,41209502,41435466,41435676,41451328,41625095,41627221,41676494,41772720,41847541,41957269,41987102,42066709,42083015,42085775,42447481,42519615,42577539,42771049,42866975,42928532,43019672,43252811,43275312,43418312,43463221,43520735,43935289,44298421,44298531,44428775,44530620,44557568,44656292,44756654,44814858,44824284,44871567,44963449,45173352,45236620,45303855,45354256,45517694,45616309,45688010,46002186,46275134,46305781,46376852,46451689,46605716,46632744,46693429,46694355,46741561,46789621,46981141,46994310,47017194,47372504,47499328,47548789,47689170,47782249,47967721,47996124,48009514,48078302,48324112,48397131,48426361,48627330,48684726,48845601,48971274,49056361,49058135,49120574,49145209,49322041,49453909,49541144,49662695,49796372,49807312,49852187,49950114,50008334,50127264,50380539,50411570,50499618,50502930,50736949,50778601,50820021,50868448,50944489,51023538,51440370,51706851,51721316,51869152,51976067,51994681,52224882,52230121,52245555,52269109,52346869,52461837,52511252,52616761,52918415,52996201,53144024,53294067,53314530,53436744,53476467,53478709,53515321,53587996,53777800,53869792,54055861,54198692,54267541,54283944,54364626,54515447,54545749,54581144,54667522,54821859,54825612,54869728,55017695,55580281,55630295,55708729,55728592,55733787,55794254,55972850,56033226,56148059,56180149,56294915,56364181,56393172,56394601,56397615,56515561,56570019,56732504,56868832,56918211,56958901,57016789,57227004,57279922,57358069,57448472,57485102,57551972,57579829,57661801,57716089,57903829,57930361,58101395,58108052,58149525,58217461,58345081,58352796,58470901,58496291,58600814,58813621,58869699,58869762,58912595,59142229,59155214,59254547,59278741,59371871,59478649,59533071,59569502,59587189,59595234,59736121,59787027,59902009,60043381,60116337,60157456,60161749,60191259,60200629,60219961,60258409,60334441,60353269,60434852,60446329,60489455,60493884,60500025,60531134,60603516,60697321,60966889,61069437,61207316,61213694,61277929,61403787,61519669,61555775,61728444,61752949,61774531,61789561,61789730,61892654,61918261,61951849,61972287,61973881,61984789,62026160,62027701,62088212,62129941,62139769,62206549,62260981,62354041,62423701,62473849,62568014,62608489,62613781,62671669,62684521,62694666,62704501,62756341,62766421,62768139,62777401,62798569,62805049,62857316,63076227,63191427,63280415,63417291,63502098,63824067,63907934,63977436,64172132,64500116,64533360,64629531,64715091,64779711,65038226,65363739,65365214,65373332,65510159,65628771,66021234,66021854,66047955,66135716,66384335,66461972,66543274,66756354,67167420,67194734,67553898,67583102,67677138,67759775,67841294,67970174,68118872,68305316,68585020,68835584,69225625,69252099,69464746,69721674,69779430,69924116,70082975,70083050,70391534,70451152,70517534,70695114,70696307,70769102,70917747,70999316,71213972,71217410,71266972,71645248,71656739,72018302,72587346,72600030,72714922,72737015,73728179,73866930,74147676,74431392,74723975,74737316,74807467,75055892,75160472,75255891,75480212,75496775,75798116,75936179,75936498,76365051,76554280,76633731,77012115,77041775,77066852,77440032,77461502,77687827,77813975,77831151,77879210,78048302,78096460,78301419,78319307,78398654,78791392,79171172,79211102,79257546,79404451,79417055,79471850,79661202,79843947,79868362,80296151,80600904,80603432,80845412,81105855,81232899,81311730,81366932,81493502,81751895,81828460,82055102,82095716,82146256,82278734,82302024,82303652,82442975,82613931,82835294,82839704,82926692,82946174,83070750,83388254,83566130,83735316,83937614,83956895,83962532,83997907,84099570,84099660,84101451,84160850,84483374,84555531,84965855,85460892,85671374,85885502,86024612,86123565,86165387,86512912,86732512,86741327,86976699,87120036,87255716,87263294,87284418,87396815,87426267,87473102,87682334,87959498,88249330,88278116,88306574,88374035,88603179,88608800,88640316,88788116,88822814,89116115,89126674,89668770,89706208,89706304,89742974,89758895,89760344,89824252,90540339,90551102,90596130,90676017,90678861,90910775,91022612,91540427,91596995,91813659,91825304,91865136,92357187,92414538,92450130,92514268,92553395,92589777,92823134,93017102,93194667,93215975,93306974,93376770,93455052,93715752,94290994,94645652,95061820,95112734,95206334,95300466,95366220,95646688,95709251,95844116,96043412,96635872,96775502,97229102,97327026,97574076,97826092,97978600,98102274,98132019,98194152,98303054,98344655,98613472,98716111,98744414,98893750,98931570,99116132,99269294,99352472,99480311,99601888,99620547,99630267,99684900,...,5708571179421504074519333043480702500463157775668490918279741685751699082006185858421563731625087696917961256368525382708854321878719024850147446423033222788296386549397139372115675133383242261823294854139882715707232503959360552838229450561382831799129571601792217887262793285227738501996632875618062387275144420144431845069135471781196034492733446288094048201212453224609948997382560197869679014149211836811414361284091094181086972446680105283708720830079082299987813788874433098013742870823204214662950687122767608250587777491429014858628264353530860493040510633627904463931258749573014671104471293075794113515248548183470019695506177562511386921870102819304069788262498539684755081605873841023636529456579025179541181054604850413613681080567234093531852124837575429353235577967176430812076915662961430783381658303111969942247861004788023236590561209265874893028538261289175534861868994869604769803227969884642882060708022381874559732508285781627389806896473732191380561870219218266565945786351819537844509582250988211595336743659699082647351725599900823315615020900741593004044130519348626188240480368924015545908355652788300768890487844826528596349402226268575295815625735379926249847116795728531526920457476851669785246222597880764176752946561033784252763830099703084706319249758892470307349148100688811970249130394505562151910741189493089579946857129363444736540331690449624108647052288738084616988343476277876859346798220382356393725781751984729297849180464303667140047571253088131031165356151422277567052036276671150125519094648432074662554060558882066678654769643225503087260946671160574746741202109410185457092670499127748175763158220961760377926237117192768744812172566234063156160836143520468860752760482800934710281703968985717936874727809414182955122484660377511256557410043589640677806351963123633122901569317962866461413020255557474960526588893268171395806583732496351517865179499886037798154352595540097168422213874542330510136958524596874340620104940764810587810420599725268117371472453987771219998825371632509643667609444132541501633048868854528702811266645223805282481393155853805892111662885405964076773650788680879397040384905448145118729001217568832865811501062239323488814128165071569523302081409162028313676927791630209943411967656999454359801173074113399363680838328197230361566523761860967236941224677440306112707179050846300955599980333537438574363661600127675754314678899029893749722336970593867493006135164395983716762927012452874993859613875031483933337047580553891748581824117174062297636}
15851 11619724205817281991502624874518008216342274799411965972133414964: {1470981,1819645,2183574,2293465,2752158,2889021,2924665,2958901,3397645,3509598,4001701,4077174,4208918,4535461,4571113,4657165,5146653,5197213,5348174,5390869,5588598,5757145,5858461,5959993,6012740,6227965,6431821,6479230,6908533,6908574,7215288,7424590,7471981,7473558,7531748,7638265,7775076,7813598,7839181,8117199,8328181,8369230,8419801,8420365,8507181,8576665,8707453,8889145,8909508,9050756,9157141,9165918,9203821,9342453,9648301,9936313,10043076,10086142,10104438,10186148,10291998,10666974,10730253,10759640,11198830,11263261,11283861,11543221,11624701,11787013,12104595,12301189,12362638,12443221,12613813,12660901,12781645,12911568,13081630,13091965,13223012,13438141,13438596,13696309,13722212,13982228,14021965,14196109,14248894,14313261,14525514,14551640,14552941,14887141,15316664,15337974,15414265,15568765,15581758,15681621,15697956,15710358,16327894,16356601,16370595,16371908,16719574,16826358,16838590,17231247,17461968,17486029,17681533,17727565,17776030,17830021,17958613,18221593,18402141,18497118,18517741,18650365,18682518,18861469,18943653,18977581,19019588,19484301,19548661,19559401,19603160,19644714,20206308,20491645,20662681,21073198,21101061,21261589,21273078,21331236,21563065,21577213,21598395,21881821,22012654,22053555,22121101,22380438,22442421,22695638,22828196,22977453,22981261,23038288,23388440,23427908,23523792,23662232,23927641,24008558,24287701,24589974,24628054,24836173,24843261,25474436,25585791,25673816,25712375,25795958,25875678,25905181,25918074,25950313,26169501,26311995,26434101,26464266,26560462,26620011,27013561,27042265,27084541,27110830,27170840,27345145,27418813,27544981,27753861,27797221,27881209,28066128,28607413,28615933,28684621,28805781,28826869,28857145,28883043,29309965,29590148,29814301,30115821,30187789,30342614,30393428,30459275,30567195,30824590,30836509,30836542,30854850,30907321,31554915,31574394,31640638,31852981,31895101,32200653,32217733,32227748,32319565,32422340,32450718,32532996,32605008,32814174,32878549,32911840,32978901,33218581,33340633,33369145,33468440,33658576,33898381,34021741,34238149,34271661,34297940,34384575,34454413,34628574,34663549,34863332,34967614,35095861,35171958,35308676,35559021,35611645,35779478,36269912,36274909,36533821,36551130,36676880,36680634,36989508,37025820,37030774,37217732,37399165,37565375,37642213,37651995,37815128,37865898,37883773,37991023,38047054,38454574,38583428,38783478,38851501,38906808,38987872,39388249,39494208,39526683,39684974,39693758,39955213,40000741,40042974,40056601,40096095,40162128,40258261,40491301,40606873,40803651,40850456,40978030,41015029,41157528,41159253,41261490,41450941,41561912,41842765,42132974,42271640,42283598,42542019,42579865,42733974,42769168,42791638,42997198,43110584,43348501,43401829,43424341,43463065,43513250,43581398,43770159,43861356,44012256,44051065,44053141,44398573,44404292,44419341,44430984,44443678,44478613,44509892,44570318,44785165,44878998,45078450,45182394,45385508,45415101,45564430,45816229,45956763,46039640,46059001,46161188,46302219,46411189,46501021,46654941,46689145,46757151,47055575,47100841,47127565,47136068,47396253,47498451,47555595,47661848,47758501,48011012,48045061,48083680,48092869,48115314,48309901,48467758,48499407,48575775,48762518,49168765,49173636,49192292,49215853,49220590,49363581,49513788,49555813,49605145,49640941,49760228,49804760,49984857,50031956,50041165,50211318,50267413,50725968,50792821,50877721,50952709,51057145,51095838,51113540,51318121,51435032,51794595,51814160,52056121,52155678,52215900,52501021,52637774,52861278,53008654,53459461,53518981,53619579,53660665,53731933,53738948,53742198,53774590,53934142,53973061,54020254,54094140,54272890,54444793,54677316,54766573,54932228,55247288,55247568,55663275,55696960,55820365,55860781,56026974,56030355,56379261,56466690,56545775,56553078,56587981,56615869,56617941,56692820,56761189,56770052,57066714,57575254,57700416,57864411,57971065,57991838,58257145,58290930,59002518,59064708,59136781,59180701,59215630,59374160,59526174,59604013,59753144,59765712,59828756,59995155,60049398,60153901,60227413,60231136,60405140,60642453,60742894,61268574,61336248,61555478,61644758,61795561,61814253,61926430,62153199,62153514,62176992,62245465,62259140,62464501,62514741,62659080,62689592,62775661,62980653,63218173,63461101,63585560,63994832,64001678,64392798,64426933,64427278,64456909,64529508,64651645,64836440,64854382,64912968,65127468,65138461,65295032,65639065,65748694,65765413,66114829,66430030,66492661,66600152,66605701,66795930,66836352,66984438,66984995,67134981,67174052,67222250,67222287,67236426,67332824,67337240,67439581,67748365,67760028,67788094,67854930,68031384,68101429,68226430,68276541,68532015,68587160,68623309,68942468,69003279,69412701,69565278,69633176,69660740,69908574,69949116,70491465,70525791,70528003,70915630,71058756,71086040,71248992,71301956,71533755,71533933,71810590,71877974,71939965,71994186,72014271,72117453,72378592,72384349,72484741,72486168,72635065,72940995,73027089,73095812,73100816,73456911,73680861,74305789,74311716,74371429,74694558,74710968,74815861,74925171,75012501,75190896,75196820,75426692,75543565,75617355,75698798,75749427,75754395,75757918,75890948,76015501,76016149,76193662,76302672,76509145,76535307,77089622,77160555,77330341,77409721,77532700,77581974,77610265,77798293,77803728,78315061,78337323,78461518,78492932,78493016,78496574,78511033,78540301,78571645,78766878,78971101,79377428,79450078,79460312,79716036,79971795,80155116,80215165,80255012,80347141,80381994,80625145,80658512,80666700,80804688,80937109,81035413,81202813,81203422,81298038,81425916,81452821,81546939,81661381,81716665,81871716,82001283,82099609,82238418,82304592,82629716,82669645,82899949,83026789,83077465,83592888,83690852,83691381,83914861,83959275,84049839,84101636,84211909,84255236,84556388,84589758,84669464,85022078,85098756,85148590,85303248,85381645,85731275,85838269,85840506,85919883,86044480,86172708,86227653,86286788,86327958,86372948,86791909,86933413,87151652,87162078,87405145,87475513,87505028,87529194,87793189,87901221,88028312,88063940,88094974,88304643,88732821,88749145,88782313,89008472,89017465,89083715,89309029,89354253,89392851,89556560,89966102,90071864,90236184,90652278,90688118,90740826,90796701,90905274,91044349,91620814,91810974,91820541,91975118,92137342,92154361,92317861,92336132,92539309,92592666,92684595,92838981,92868013,92924078,92962232,93039240,93132318,93421645,93819865,93852021,93950590,94041999,94260152,94285974,94350265,94556996,94610461,94747645,95253147,95581189,95640493,95673049,95692850,95861901,95904589,95966154,96258198,96263533,96333565,96498613,96682813,96750174,96783128,96800040,96874261,97041398,97557339,97620575,98038201,98047821,98059998,98419198,98489240,98752213,98771774,98863568,98963965,99031851,99032781,99075421,99203574,99241856,99337861,99692958,99814911,...,8562856769132256111778999565221053750694736663502736377419612528627548623009278787632345597437631545376941884552788074063281482818078537275221169634549834182444579824095709058173512700074863392734942281209824073560848755939040829257344175842074247698694357402688326830894189927841607752994949313427093580912716630216647767603703207671794051739100169432141072301818679836914923496073840296804518521223817755217121541926136641271630458670020157925563081245118623449981720683311649647020614306234806321994426030684151412375881666237143522287942396530296290739560765950441856695896888124359522006656706939613691170272872822275205029543259266343767080382805154228956104682393747809527132622408810761535454794184868537769311771581907275620420521620850851140297778187256363144029853366950764646218115373494442146175072487454667954913371791507182034854885841813898812339542807391933763302292803492304407154704841954826964323091062033572811839598762428672441084710344710598287070842805328827399848918679527729306766764373376482317393005115489548623971027588399851234973422531351112389506066195779022939282360720553386023318862533479182451153335731767239792894524103339402862943723438603069889374770675193592797290380686215277504677869333896821146265129419841550676379145745149554627059478874638338705461023722151033217955373695591758343227866111784239634369920285694045167104810497535674436162970578433107126925482515214416815289020197330573534590588672627977093946773770696455500710071356879632196546748034227133416350578054415006725188278641972648111993831090838323100017982154464838254630891420006740862120111803164115278185639005748691622263644737331442640566889355675789153117218258849351094734241254215280703291129140724201402065422555953478576905312091714121274432683726990566266884836115065384461016709527944685449684352353976944299692119530383336212440789883339902257093709875598744527276797769249829056697231528893310145752633320811813495765205437786895311510930157411147215881715630899587902176057208680981656829998238057448764465501414166198812252449573303281793054216899967835707923722089733780708838167494328108946115160476183021319095560577358172217678093501826353249298717251593358985233221192247607354284953122113743042470515391687445314915117951485499181539701759611170099045521257492295845542349785642791450855411837016160459169060768576269451433399970500306157861545492400191513631472018348544840624583505455890801239509202746593975575144390518679312490789420812547225900005571370830837622872736175761093446454}
15852 11670806398534180135690701588059709331976792926701703689040630379: {458867,679787,963251,1246067,1296338,1485482,1622147,1674482,1778507,1863338,1961308,2617322,2712467,2805458,2836451,2911432,2991251,3181298,3275361,3300251,3485267,3556562,3639227,3669544,3852028,3915851,4128237,4191827,4222451,4406027,4558787,4679464,4833251,5238122,5264397,5436232,5561987,5610218,5864267,6115761,6195851,6313377,6316187,6766307,6862204,7095251,7363667,7451464,7515925,7542251,7720547,7987451,8017067,8022261,8382578,8382897,8607707,8749778,9019110,9048587,9211432,9414685,9429227,9620384,9718845,9924947,9964744,10012187,10362861,10366768,10476251,10822932,10940882,11136885,11210337,11297622,11313445,11340851,11342908,11484251,11598827,11662614,11720397,11847722,11879344,12028658,12221224,12340451,12456604,12553845,12595907,12732685,13217627,13364262,13390768,13402081,13449550,13472584,13576134,13722664,13748877,13830098,13863467,14222632,14307004,14367722,14616227,14976587,15045148,15064614,15082538,15129213,15142451,15156657,15279222,15280451,15390707,15437997,15803027,15972818,16000461,16131587,16139460,16528765,16622267,16798245,16947947,17152765,17213162,17215424,17477785,17757107,17891267,17918128,17918762,17998451,18189550,18372587,18543957,18771707,18797522,18798251,18930851,18957347,19084348,19145830,19169027,19367352,19622445,19834518,19879667,20157894,20158502,20450632,20464885,20544242,20583318,20610467,20662427,20704453,20895851,20908828,20930608,20947144,20973342,21238898,21309227,21373341,21669251,21758378,21788271,21827460,21925451,22155347,22282787,22435144,22435451,22449002,22464589,22815851,22916987,22974996,23006961,23282624,23309042,23372637,23546934,23565537,23774485,23971187,23994482,24045947,24170387,24491841,24503950,24536188,24557862,24662824,24880141,24910024,25079361,25239537,25257885,25258204,25305851,25574867,25979068,26192952,26375378,26376107,26664045,26881451,26941744,27096947,27120851,27218858,27383267,27454667,27620987,27745677,27834251,28023777,28134748,28329347,28364104,28393682,28441648,28446707,28529382,28535245,28750907,28797860,28895018,29216267,29228522,29235550,29239451,29284885,29355251,29378387,29404740,29451254,29467071,29577790,29586251,29840584,29923228,30068747,30225578,30309462,30479507,30636604,31365056,31606907,31609797,31736173,31843045,31909617,31996854,32092270,32096627,32163107,32204138,32368082,32406251,32531882,32695538,32736251,32786632,33018981,33088237,33124348,33570657,33607451,33801707,33837098,33844787,33963550,34043457,34114388,34242294,34380587,34500904,34557432,34648178,34805627,34892668,34971602,35082660,35141862,35245468,35285688,35395307,35437187,35493348,35616722,35744149,35777642,35833451,35938418,36012837,36020147,36061547,36366673,36432707,36576347,36740027,36740138,36884961,36942081,36984587,36987685,37005148,37065851,37349267,37421504,37423022,37538258,37721761,37856498,37991785,38015402,38090747,38190107,38211654,38407708,38510724,38546147,38664251,38693937,38782067,38813517,38877111,39153251,39424907,39439058,39617987,39696399,39840693,40135307,40154428,40284685,40306451,40527925,40666245,40756260,40965851,41139800,41163242,41412347,41474858,41541707,41704117,41835550,41982251,42073220,42091667,42099192,42104854,42560978,42872425,42885251,42934204,42953053,43267624,43377328,43473344,43487867,43579165,43640042,43752232,43855451,43959827,43971868,44135845,44219507,44385222,44886251,45005653,45038387,45240227,45290507,45337390,45419257,45513921,45590142,45623867,45625298,45695548,45777002,45822347,45846100,46171432,46236885,46254813,46282275,46459451,46522165,46701251,46765427,46845467,46895944,46957187,47268910,47321507,47361591,47412028,47460957,47509907,47556827,47572451,47805851,47975867,48035282,48229285,48341377,48341622,48434627,48585947,48633510,48676077,48734840,48799494,48907512,49079627,49168451,49221261,49319344,49367760,49374587,49477067,50026547,50126507,50202660,50452187,50487864,50676251,50967227,51063070,51241067,51446910,51699251,51711304,51875744,51942861,51952390,52017107,52278467,52284001,52294998,52356251,52433747,52451421,52549451,52626227,52658944,52702244,52757937,52791587,52839550,52943027,52963014,53005787,53390632,53461460,53549504,53669217,53682947,53888230,53923187,54077627,54186098,54218987,54254147,54382451,54404868,54727451,54758642,54826695,54829547,54853393,54876704,54879004,54908507,54942227,55015320,55020951,55330307,55484262,55505365,55538730,55546161,55637365,55826598,55995478,56045867,56190851,56405387,56435747,56536427,56722692,56731885,56798847,56853227,56978632,57025778,57027827,57037451,57070581,57085451,57133153,57237707,57322451,57446762,57549550,57600251,57681861,57682187,57701485,57726698,57790427,57817307,57835187,57870851,57875142,57915251,58047251,58082147,58175217,58229027,58263251,58275133,58356707,58360212,58424018,58481808,58482587,58631267,58683008,58701938,58728947,58809467,58916221,58920085,58979282,59038451,59225788,59241312,59527461,59534507,59540637,59577310,59599451,59606627,59713307,59748467,59838664,59852747,59914451,59941667,60013765,60064461,60104600,60180851,60243192,60372251,60409667,60428267,60459107,60553468,60556451,60639947,60733451,60869867,60904562,60929029,60980027,60985451,61200947,61266467,61275684,61296251,61320851,61364627,61426261,61464251,61467045,61490365,61537787,61560347,61604867,61644251,61721042,61733627,61736292,61791251,61886387,61892235,61947251,61987907,62087027,62173451,62200285,62206588,62233187,62255950,62262482,62310251,62335667,62342868,62354987,62368547,62440787,62467451,62490851,62539945,62578427,62630507,62639147,62659067,62673251,62686787,62688251,62703827,62707907,62728451,62741387,62753713,62757467,62761451,62766251,62787251,62793587,62803787,62814251,62820851,62821427,63195004,63199461,63331268,63407460,63425397,63472298,63891925,63963214,64100961,64139378,64153752,64187457,64293790,64405202,64495797,64537898,64665876,64767700,65269875,65372097,65564848,65792034,65818108,66018384,66356797,66606438,66646476,66665517,66764838,66855477,66948424,67173685,67318497,67617675,67634624,67773591,68078262,68127784,68346645,68665285,68681389,68708138,69059110,69059460,69091538,69241782,69346418,69527773,69540904,69600722,69621200,70028101,70233962,70481704,70576198,70704102,70737962,70866025,70962565,70989098,71492772,71614418,71656264,71863538,72016518,72125520,72172971,72689782,72701637,72903088,73100498,73143777,73663424,73760454,73788438,73830885,73957802,74085781,74217700,74270682,74640342,74691430,74702632,74707140,74785945,75047934,75049682,75172348,75288920,75290738,75316977,75404104,75490588,75506425,75651242,75890858,76088952,76249202,76643757,76670310,76863358,76933888,77024773,77152548,77421097,77721240,77823925,77882413,77904338,78233517,78323850,78361990,78670024,78752944,78812881,78956661,79291917,79368232,79481950,79512981,79687616,79761362,79993540,80065864,80608422,80613297,80661885,80789738,80856604,80901213,81016682,81030381,81045550,81129938,81141210,81341953,81409335,81618790,81691432,81781664,82015974,82139761,82398342,82419004,82477633,82870932,82871352,82902656,83250190,83254442,83352988,83545440,83550181,83695082,83914538,83967565,83974204,84040461,84133418,84166030,84171550,84685237,84700035,84829617,84894962,85039230,85155078,85542098,85600071,85733950,85857064,86039344,86178085,86362881,86505622,86550624,86836624,86926442,86987757,87041470,87075925,87436395,87870578,88503777,88592581,88596842,88597062,88823445,88857550,89061240,89115136,89127445,89289261,89312584,89513308,89629716,89648568,89742757,89743134,89926898,90074097,90346704,90473240,90607710,90708512,91035388,91114341,91232618,91369765,91376020,91902861,92004372,92333217,92467137,92550268,92559181,92611562,92753704,92889645,92903378,92938069,93211432,93230271,93265488,93386858,93388710,93483122,93579242,93962282,93988620,93996025,94034388,94283365,94745008,94863685,94998656,95097578,95378340,95564498,95935442,95992248,96002517,96019028,96156604,96589197,96640917,96648224,96794262,96852722,96915875,96946189,97254660,97281573,97369452,97691202,97942548,98112722,98116165,98116270,98241148,98290418,98623041,98644082,98907818,99082288,99221785,99325390,99592744,99614624,99645045,99704374,99900228,...,12844285153698384167668499347831580626042104995254104566129418792941322934513918181448518396156447318065412826829182111094922224227117805912831754451824751273666869736143563587260269050112295089102413421814736110341273133908561243886016263763111371548041536104032490246341284891762411629492423970140640371369074945324971651405554811507691077608650254148211608452728019755372385244110760445206777781835726632825682312889204961907445688005030236888344621867677935174972581024967474470530921459352209482991639046026227118563822499355715283431913594795444436109341148925662785043845332186539283009985060409420536755409309233412807544314888899515650620574207731343434157023590621714290698933613216142303182191277302806653967657372860913430630782431276276710446667280884544716044780050426146969327173060241663219262608731182001932370057687260773052282328762720848218509314211087900644953439205238456610732057262932240446484636593050359217759398143643008661627065517065897430606264207993241099773378019291593960150146560064723476089507673234322935956541382599776852460133797026668584259099293668534408923541080830079034978293800218773676730003597650859689341786155009104294415585157904604834062156012790389195935571029322916257016804000845231719397694129762326014568718617724331940589218311957508058191535583226549826933060543387637514841799167676359451554880428541067750657215746303511654244455867649660690388223772821625222933530295995860301885883008941965640920160656044683251065107035319448294820122051340700124525867081622510087782417962958972167990746636257484650026973231697257381946337130010111293180167704746172917278458508623037433395467105997163960850334033513683729675827388274026642101361881322921054936693711086302103098133833930217865357968137571181911649025590485849400327254172598076691525064291917028174526528530965416449538179295575004318661184825009853385640564813398116790915196653874743585045847293339965218628949981217720243647808156680342967266395236116720823822573446349381853264085813021472485244997357086173146698252121249298218378674359954922689581325349951753561885583134600671063257251241492163419172740714274531978643340866037258326517140252739529873948075877390038477849831788371411031427429683170614563705773087531167972372676927228248772309552639416755148568281886238443768313524678464187176283117755524240688753591152864404177150099955750459236792318238600287270447208027522817260936875258183836201859263804119890963362716585778018968736184131218820838850008357056246256434309104263641640169681}
15853 11722111398373903582286109811455264259958859231632259069537817902: {1944507,2228223,2451635,2511723,2547503,2795007,2941962,3210851,3307007,3496883,3639290,3925983,4094531,4208187,4367148,4586930,4729283,4756703,4771947,4815035,5108891,5334843,5504316,5778042,5849330,5917802,6371027,6520031,6795290,7019196,7601243,7857183,8003402,8060003,8154348,8415327,8417836,8577755,8719151,8830523,9070922,9142226,9307967,9314330,10293306,10394426,10693571,10696348,10781738,10877243,11105291,11177196,11514290,11716922,11788511,11919986,12007331,12025480,12444803,12455930,12573867,12863642,12901247,12958460,13124667,13528665,13738283,13817066,13817148,14097791,14178635,14430576,14849180,14943962,14947116,14962883,15063496,15175151,15276530,15550152,15570755,15613343,15627196,15678362,16186547,16234398,16411323,16656362,16738460,16839602,16840730,16939451,16946433,17014362,17153330,17414906,17493921,17771583,17778290,17819016,17832287,17883755,17894303,18042987,18101512,18280907,18314282,18328751,18331836,18407642,18684906,18806435,18863867,19296602,19630751,19872626,20046393,20071391,20086152,20172284,20174325,20208876,20364201,20372296,20583996,20665307,20745147,21071843,21333948,21460506,21519280,21551583,21579971,21796271,21860507,21884603,22290827,22397660,22526522,22567722,22596921,22623807,22918833,23086442,23102963,23249402,23574026,23855435,23959227,24209190,24602378,24725276,24818591,24886442,25094843,25227626,25321802,25563290,25819743,25823136,25953611,26110511,26136035,26163260,26183930,26446024,26876282,26877192,26878143,27284325,27392618,27444424,27548483,27964456,28043930,28112447,28196283,28392218,28497788,28626522,28688303,28718745,29003291,29051028,29103280,29105882,29142131,29153183,29751777,29774282,29804051,30188291,30191627,30236841,30237753,30633328,30670235,30675948,30785567,30816363,30828530,30874977,31137530,31163516,31181051,31363242,31395912,31420716,31460013,31572755,31858347,31972991,32009003,32473835,32637567,32655788,32713202,32741190,32743816,33222827,33439148,33652716,33673503,33677180,34242527,34462494,34923936,34963563,34972058,35100323,35168435,35235083,35320401,35363066,35455130,35552060,35639987,35660042,35917226,35991723,35997325,36443147,36443186,36755925,36804282,36836793,36994236,37035482,37257263,37300730,37365036,37404035,37722938,37859171,37887306,37955162,38039176,38283203,38295755,38313407,38856467,38968602,39041771,39097322,39118802,39206320,39258323,39289428,39563067,40061723,40400003,40412616,40463267,40496447,40828287,40983290,41033951,41309627,41325362,41358251,41405435,41847251,42146396,42202122,42523178,42546156,42590523,42642985,42662472,42794073,42870347,43126130,43154426,43196790,43342527,43407347,43615835,43763642,43842783,43853325,44025308,44056835,44107110,44176881,44240051,44242202,44366685,44760876,44884842,44994527,45247391,45338367,45391276,45464193,45656392,45954906,45962522,45999251,46076576,46256435,46716803,46776880,46855816,47047584,47106827,47273603,47324464,47855282,47995281,48009635,48017116,48051167,48138405,48306207,48316043,48435167,48472307,48533087,48552123,48575402,48797823,49043307,49179948,49256108,49398443,49562111,49672346,49686522,49711391,49856303,50193035,50755647,50884187,50945325,50948872,50959187,51171582,51324683,51347632,51363441,51424750,51477707,51591916,51751356,51789011,51810362,51836148,51900626,51972267,52062803,52339002,52358831,52457403,52591525,52623990,52712793,52868202,52928532,53120924,53240022,53425083,53438207,53666463,53667755,53907627,53979923,54027122,54084530,54169082,54221660,54341680,54453167,54690290,54837626,54849587,54964835,55089962,55110207,55507722,55594442,55762418,55867883,56129663,56132256,56134533,56307387,56475551,56623067,56768447,56784747,56837027,57023103,57119435,57214826,57231866,57307625,57317481,57355547,57369242,57611562,57653738,57714290,57766086,58394351,58535051,58579871,58619930,58735583,59158587,59180296,59265035,59477627,59611811,59628602,60231642,60375578,60685228,60758051,60786856,60847763,60848291,60918550,61134390,61649180,61671491,61673018,61673084,61709700,61744863,61814642,62168831,62212287,62699231,62753325,63109830,63148788,63157281,63179363,63281276,63705962,63790202,63841467,64401306,64435466,64455496,64639130,64844680,64901436,65065992,65146787,65210016,65364803,65460063,65628348,65757098,65823680,65877805,65957802,65978591,66437162,66577833,66681266,66738290,66826825,66936880,67312991,67317152,67578047,67796762,68006085,68043482,68385213,68437947,68476298,68543322,68595880,68598755,68665503,68769150,68836271,68908826,69065627,69257148,69327098,69447203,69726664,69888923,69935228,70057631,70191722,70343916,70617352,70903365,71118042,71223290,71331851,71480003,71558956,72052923,72512433,72539824,72549818,72950265,73067642,73102260,73199241,73267331,73353760,73355951,73361268,73821683,73979016,74029547,74032235,74051640,74061548,74315327,74435464,74798330,74999483,75124931,75130750,75284426,75303990,75630256,75691835,75731796,75767546,75799007,75982046,76094108,76176347,76594605,76909148,77166856,77170365,77566956,77703002,77758235,77813616,77928585,77975744,78135707,78148511,78442497,78776498,78988416,78993755,79053366,79164085,79259325,79369948,79387516,79444521,79476851,79701323,79910426,80001482,80048303,80085948,80113202,80192190,80324256,80483507,80516522,80832345,80959625,80982602,81159491,81213746,81279147,81560003,81607302,81700912,81956060,82030058,82110107,82137963,82170467,82272635,82315056,82318506,82522980,82901882,83123824,83226393,83308095,83617727,83685530,83739897,83925587,83993217,84265948,84543280,84567196,85084038,85159730,85467948,85538336,85538667,85583276,85644863,85994396,86170143,86221168,86324325,86372171,86516747,86590047,86697002,86803007,86803658,86812713,86848682,86926130,87026500,87143651,87162796,87540318,87636027,87722712,87761651,87893507,88024512,88052907,88102130,88106282,88130207,88319807,88468923,88797146,88808584,88838682,88861968,88887356,88957226,89019784,89140636,89365965,89570330,89757996,89837267,90156900,90364788,90512303,90568991,90771016,90830202,91128860,91356843,91390403,91632458,91894691,91913526,92079280,92118002,92322376,92554163,92581563,92604438,92772125,92822378,93002042,93309882,93329483,93378290,93383925,93393723,93508307,93514302,93587951,93665567,93778993,93965435,94111150,94201682,94255130,94272136,94363235,94792506,94847711,94996902,95111190,95208447,95323696,95517002,95652947,95917151,95944821,96022024,96090122,96167360,96185738,96209067,96230628,96440685,96607803,96619802,96695171,96806847,96935516,96957251,96979247,96998814,97151550,97525036,97972667,98337530,98347272,98384584,98431706,98441180,98688051,98727162,99027576,99111626,99210290,99227291,99281882,99520456,99609520,99909657,99969714,99991925,...,17125713538264512223557999130442107501389473327005472754839225057255097246018557575264691194875263090753883769105576148126562965636157074550442339269099668364889159648191418116347025400149726785469884562419648147121697511878081658514688351684148495397388714805376653661788379855683215505989898626854187161825433260433295535207406415343588103478200338864282144603637359673829846992147680593609037042447635510434243083852273282543260917340040315851126162490237246899963441366623299294041228612469612643988852061368302824751763332474287044575884793060592581479121531900883713391793776248719044013313413879227382340545745644550410059086518532687534160765610308457912209364787495619054265244817621523070909588369737075538623543163814551240841043241701702280595556374512726288059706733901529292436230746988884292350144974909335909826743583014364069709771683627797624679085614783867526604585606984608814309409683909653928646182124067145623679197524857344882169420689421196574141685610657654799697837359055458613533528746752964634786010230979097247942055176799702469946845062702224779012132391558045878564721441106772046637725066958364902306671463534479585789048206678805725887446877206139778749541350387185594580761372430555009355738667793642292530258839683101352758291490299109254118957749276677410922047444302066435910747391183516686455732223568479268739840571388090334209620995071348872325941156866214253850965030428833630578040394661147069181177345255954187893547541392911001420142713759264393093496068454266832701156108830013450376557283945296223987662181676646200035964308929676509261782840013481724240223606328230556371278011497383244527289474662885281133778711351578306234436517698702189468482508430561406582258281448402804130845111906957153810624183428242548865367453981132533769672230130768922033419055889370899368704707953888599384239060766672424881579766679804514187419751197489054553595538499658113394463057786620291505266641623626991530410875573790623021860314822294431763431261799175804352114417361963313659996476114897528931002828332397624504899146606563586108433799935671415847444179467561417676334988656217892230320952366042638191121154716344435356187003652706498597434503186717970466442384495214708569906244227486084941030783374890629830235902970998363079403519222340198091042514984591691084699571285582901710823674032320918338121537152538902866799941000612315723090984800383027262944036697089681249167010911781602479018405493187951150288781037358624981578841625094451800011142741661675245745472351522186892908}
15854 11773640169544448136459821267317353213874339579004413019482969099: {490513,585229,917734,1057729,1359574,1926502,1997329,2492134,2592676,2970964,3022573,3244294,3300673,3348964,3557014,3726676,3922616,4222993,4412943,4864333,5234644,5424934,5458935,5610916,5672902,5822864,5982502,6362596,6550722,6600502,6880395,6970534,7113124,7126033,7278454,7339088,7704056,7831702,8018113,8256474,8284333,8372929,8383654,8444902,8667063,8773995,8812054,8814829,8876703,9117574,9342733,9358928,9666502,10042573,10192935,10476244,10522295,10528794,10872464,11083693,11123974,11220436,11728534,12005103,12231522,12370513,12391702,12626754,12632374,13180559,13370435,13532614,13556929,13606383,13713339,13724408,13971495,14190502,14395729,14727334,14902928,15031850,15084502,15310093,15439959,15441094,15591639,15838823,15974902,16034134,16044522,16051729,16172607,16198075,16461229,16542913,16765156,16765794,17193793,17215414,17271435,17499556,17575383,17598253,17825759,17879979,18038220,18097174,18422864,18561475,18683895,18800833,18829370,18858454,18880429,18959953,19198093,19240768,19295463,19437690,19533995,19849894,19929488,20024374,20535313,20725599,20725722,20733536,20846929,20923075,20924653,20952502,21645864,21881764,21928513,22273770,22415943,22420674,22595244,22626890,22681702,22685816,22914795,22968502,23140271,23197654,23325228,23440794,23517543,23524429,23695444,23758688,24013871,24057316,24351597,24442448,24468899,24644929,24680902,24913208,24984543,25088593,25107690,25191814,25215355,25259403,25261095,25465370,25521543,25729995,26122359,26435254,26667435,26728524,26781536,26804162,26899100,26909293,26945168,27124753,27152268,27445328,27471423,27497754,27611463,27660196,27726934,27997075,28027359,28445264,28614008,28650839,28735444,28944903,29232454,29243713,29382673,29403803,29590573,29808939,29953174,30090296,30129228,30165076,30258426,30278893,30284902,30313314,30558444,30560902,30781414,30875994,30906595,31027729,31606054,31633933,31945636,32000922,32034829,32190759,32263174,32278920,32697229,32704075,33057530,33091213,33244534,33284279,33596490,33789783,33851583,33895894,34000429,34305530,34426324,34430848,34629663,34874103,34955570,35211793,35274829,35337793,35361039,35514214,35588929,35622235,35782534,35836256,35837524,35996902,36313785,36379100,36458833,36745174,36903567,37071553,37087914,37329663,37435729,37543414,37595044,37596502,37841439,37861702,37914694,37982703,38168696,38291660,38338054,38344935,38571853,38734704,38954395,39244890,39275895,39669036,39759334,39949343,40314423,40315788,40317004,40653229,40819735,40901264,40929770,40991053,40998839,41088484,41088927,41158993,41166636,41220934,41324854,41408906,41437453,41492929,41548333,41791702,41798935,41817656,41824273,41861216,41894288,41946684,42065895,42096475,42477796,42588327,42618454,42641293,42746682,42910033,42939783,43336273,43338502,43516756,43576542,43654920,43658823,43850902,43996447,44226733,44310694,44440075,44484673,44565574,44580263,44661423,44870288,44870902,44893633,44898004,44929178,44944429,45631702,45833974,45949992,46013922,46190929,46242795,46565248,46618084,46706295,46745274,46869313,47044863,47093868,47131074,47155729,47548970,47580493,47627329,47942374,47988964,48091894,48275473,48340774,48594253,48774829,48983682,49007900,49069803,49072376,49111785,49115724,49325648,49397773,49760282,49820048,49877329,50092429,50135233,50158722,50256811,50479074,50515770,50516408,50611702,50762699,51149734,51547729,51693741,51748429,51782759,51788353,51958136,52144429,52385904,52458087,52571713,52682995,52750756,52752214,52952593,53044599,53182695,53188499,53328090,53436973,53490063,53762902,53875839,53883488,53980753,54193729,54193894,54228973,54241702,54404113,54437716,54664779,54766534,54851053,54909334,55031635,55206423,55219729,55241974,55384429,55452727,55491354,55547329,55553223,55668502,55951095,56047554,56056513,56269496,56398559,56584407,56658694,56728208,56739095,56787364,56830959,56883296,56893414,56932743,57048493,57058764,57070490,57333613,57501814,57595720,57790036,58067473,58432534,58452903,58457044,58471100,58478902,58569770,58645983,58651213,58678203,58710502,58756774,58809480,58821313,58902508,58934142,58940653,59155580,59172502,59265229,59287873,59377729,59400013,59575693,59618893,59681168,59846456,59892673,60021395,60137494,60328273,60451156,60569293,60618924,60658753,60959014,60998593,61010831,61014829,61264813,61273208,61339153,61474935,61482433,61570135,61657933,61747393,61790183,61904173,61915729,61961233,61988043,62274829,62318929,62327533,62484493,62552173,62571073,62634829,62685229,62703373,62724433,62730112,62743693,62779729,62807053,62837329,63213814,63219594,63303183,63472346,63686090,63784767,63819234,63993708,64184540,64193254,64326214,64408276,64489895,64689195,64731639,64736164,64795185,64812502,65063764,65131031,65391076,65472502,65573264,65645463,66037962,66160665,66176474,66248696,66363303,66401155,67141314,67214902,67327263,67520999,67603414,67674196,67689574,67777075,67927100,67968703,68086914,68228776,68484588,68761174,68932359,68943783,69001808,69114864,69296356,69611254,69785336,69943204,70165320,70283724,70490936,70571376,70790614,70874374,70986696,71233444,71488298,71555284,71666902,71782923,71876836,72025674,72040294,72123094,72733346,72863103,72865414,73152694,73480054,73480276,73769922,73884162,73969174,73975370,74010296,74131702,74163479,74508519,74529783,74698534,74843008,74846044,75076516,75443522,75712996,75856535,75983570,76030804,76181494,76380214,76423308,76757373,76815416,77021448,77061475,77091355,77092294,77137125,77328502,77387874,77564134,77627034,77640139,77707511,77715543,77754222,77850939,77892311,78306502,78339151,78508503,78849814,78878116,78935985,79101595,79235974,79302303,79392798,79424639,79681386,79860033,80270614,80308856,80569370,80612902,80782079,81040683,81055850,81126795,81253623,81332490,81512520,81931702,82035435,82256439,82279600,82326484,82488119,82634943,82760483,82824694,82949716,83083414,83261583,83391663,83408234,83643627,83671100,83964502,84019271,84146440,84183334,84198384,84209708,85121956,85667131,85744850,85770502,85822239,85847799,85868408,85906106,86053863,86086511,86417343,86480607,86535248,86571435,86649129,86754656,86946688,86975734,87080399,87158330,87280084,87419035,87504464,87555923,87710902,87919654,87929895,87943736,88271690,88439014,88770444,89442903,89448695,89772502,90011306,90076774,90347463,90480454,90563367,90581014,90674780,90838514,91027842,91180284,91247734,91250596,91377825,91391096,91554004,91644694,91692200,91701585,91922743,92342864,92473770,92509527,92509626,92564550,92576935,92721963,92918902,93044330,93402502,93530854,93690934,93791888,93914374,94043159,94537820,94643014,94664745,94723182,94824056,94921914,95019814,95113654,95117635,95144902,95558943,95611702,95685303,95951734,96070564,96131399,96136435,96458570,96601959,96653199,96682754,96683244,96869254,96958695,97074263,97171894,97267020,97352154,97469680,97598988,97815024,98159254,98336902,98442522,98635647,98638688,98735520,98741123,98749174,98936703,98954134,99212435,99234395,99347591,99655743,...,25688570307396768335336998695663161252084209990508209132258837585882645869027836362897036792312894636130825653658364222189844448454235611825663508903649502547333739472287127174520538100224590178204826843629472220682546267817122487772032527526222743096083072208064980492682569783524823258984847940281280742738149890649943302811109623015382155217300508296423216905456039510744770488221520890413555563671453265651364625778409923814891376010060473776689243735355870349945162049934948941061842918704418965983278092052454237127644998711430566863827189590888872218682297851325570087690664373078566019970120818841073510818618466825615088629777799031301241148415462686868314047181243428581397867226432284606364382554605613307935314745721826861261564862552553420893334561769089432089560100852293938654346120483326438525217462364003864740115374521546104564657525441696437018628422175801289906878410476913221464114525864480892969273186100718435518796287286017323254131034131794861212528415986482199546756038583187920300293120129446952179015346468645871913082765199553704920267594053337168518198587337068817847082161660158069956587600437547353460007195301719378683572310018208588831170315809209668124312025580778391871142058645832514033608001690463438795388259524652029137437235448663881178436623915016116383071166453099653866121086775275029683598335352718903109760857082135501314431492607023308488911735299321380776447545643250445867060591991720603771766017883931281840321312089366502130214070638896589640244102681400249051734163245020175564835925917944335981493272514969300053946463394514763892674260020222586360335409492345834556917017246074866790934211994327921700668067027367459351654776548053284202723762645842109873387422172604206196267667860435730715936275142363823298051180971698800654508345196153383050128583834056349053057061930832899076358591150008637322369650019706771281129626796233581830393307749487170091694586679930437257899962435440487295616313360685934532790472233441647645146892698763706528171626042944970489994714172346293396504242498596436757348719909845379162650699903507123771166269201342126514502482984326838345481428549063957286681732074516653034280505479059747896151754780076955699663576742822062854859366341229127411546175062335944745353854456497544619105278833510297136563772476887536627049356928374352566235511048481377507182305728808354300199911500918473584636477200574540894416055045634521873750516367672403718527608239781926725433171556037937472368262437641677700016714112492512868618208527283280339362}
15855 11825393680393720270196345626989709935880429770281030809665807263: {1376601,2039361,2889753,3240845,3432289,3713705,3738201,3889014,3908281,4186205,4456446,4658345,4866441,4903270,5023446,5095006,5335521,5590014,5709937,5883924,6421702,6543305,6614014,6741049,6993766,7013645,7127153,7278580,7793837,7851966,7953245,8137401,8167049,8189062,8362961,8416374,8509353,8734296,8891405,8973753,9173860,9206153,9458566,9513406,9543894,9630070,9826083,9900753,10217782,10455801,10540601,10669686,10917681,11008632,11010509,11556084,11698660,11747553,11835604,12008857,12318713,12384711,12575481,12617009,12667353,12742054,13040062,13095305,13218081,13285277,13590580,13676361,14025545,14038392,14389793,14499753,14890913,15202486,15714366,15793191,16006804,16120006,16308696,16685961,16830654,16835672,17155510,17438302,17592801,17661046,18107689,18141844,18284452,18347283,18522449,18587553,18615934,18628660,18940131,18948561,19030769,19553633,19850089,20298921,20586612,20788852,20956445,21074521,21285753,21387142,21392696,21403961,21563476,21754486,21799057,21874445,22091001,22210582,22293661,22354392,22547775,22626753,23028580,23161641,23433844,23577022,23828237,23839972,23962353,24014662,24050960,24051201,24066783,24243101,24889606,24911860,25037257,25147734,25148691,25727284,25737713,25802494,25823121,25916920,26249334,26329009,26514413,26977337,27020429,27057330,27145761,27352205,27476566,27634132,27634296,28195582,28244055,28287681,28357270,28614689,28861152,29006977,29156535,29619305,29698360,29774841,29821913,29887924,29894232,29925766,30036561,30064841,30071645,30126992,30350302,30383009,30553060,30789481,31088583,31100304,31141510,31226686,31254392,31356724,31428753,32373094,32468796,32570617,32822646,33223801,33312724,33397609,33410655,33476920,33623875,33631011,33679204,33681460,33878902,33892866,33907049,33940335,34022553,34028724,34248653,34306660,34452753,34575245,34796481,34816049,34829812,34987842,35161191,35543166,35556580,35638032,35664574,35767510,35788606,35919305,36085974,36203024,36543113,36561814,36590449,36628564,36657502,36663672,36815284,36850333,37021353,37369812,37612870,37661535,37706345,37727734,37787721,38198055,38593204,39261502,39263341,39652881,39745252,39932045,40092786,40142782,40172304,40206243,40344568,40348650,40417752,40468441,40617197,40728402,40744592,41167992,41246631,41330614,41490294,41590401,42143686,42667896,42921012,42938329,43032905,43038560,43103166,43159942,43592542,43671977,43721014,43769206,43848681,44201857,44238941,44489969,44581654,44795320,44796905,44929761,45053044,45075833,45135444,45193842,45247614,45279481,45387639,45427353,45463369,45469971,45473875,45837666,45841353,46005097,46172121,46172884,46205926,46313991,46498804,46770457,46993805,47148052,47291089,47409081,47710870,47864575,47918454,48001383,48394761,48418380,48877933,49204756,49235809,49404721,49450552,49586295,49637182,49772884,49866801,50120873,50189686,50394735,50396255,50455252,50643604,50805809,50843841,51126580,51360605,51458295,51639486,51646272,51907222,52221022,52272070,52326520,52365649,52367860,52381709,52433355,52514369,52892048,53097245,53271321,53445001,53532593,53614057,53673801,53745641,53752564,53754384,53756286,53995353,54142649,54395945,54568650,54780497,54785236,54888848,55096966,55117761,55631871,55928912,56087860,56122505,56224894,56315121,56392566,56394753,56784436,56792553,56872041,56995576,57241561,57253044,57362881,57376606,57437490,57507081,57967609,58006582,58102056,58206560,58211764,58272605,58284262,58306366,58542493,58867335,59152049,59195753,59503554,59548564,59608102,59639001,59700179,59986205,60376582,60383254,60473682,60475506,61062169,61259875,61266656,61340470,61351896,61394655,61571134,61632726,61657060,61679569,61749954,61831401,61987281,62113359,62275060,62327032,62362102,62687553,62726484,62791824,62841432,62920026,63145510,63716694,63927681,63945982,64018006,64120023,64276249,64759009,64947670,65007753,65137193,65275134,65311576,65364813,65426404,65482380,65487632,65776353,65938445,66445654,66466041,66743833,66848361,66878296,67213489,67305432,67306353,67347006,67354360,67393767,67906057,68047145,68073389,68119073,68447553,68485054,68710913,68750961,68924988,69020883,69847872,69927126,69944116,70117911,70200646,70270249,70291741,70336870,70470166,70640802,70696611,70726132,70910260,70984205,71104120,71197037,71279974,71320084,71323455,71834452,71913561,71983446,71994650,72137841,72237545,72511161,72886294,72886372,73071305,73073033,73088875,73475523,73511850,73608564,73628135,73673586,73944475,73988472,74070964,74514526,74601460,74640423,74730072,74808070,75049073,75134857,75238083,75445876,75563945,75718342,75718611,75773655,75774612,75910324,75917553,76078352,76251289,76566406,76591510,76626814,76724601,76950769,77712934,77937204,78007193,78083542,78194644,78237604,78412640,78516646,78578856,78991649,79126134,79128321,79135033,79967209,79992135,80123446,80230675,80510345,80637097,80644353,80800006,80825232,80920205,80926534,80992894,81223577,81290841,81329705,81362553,81656574,81738845,81887017,81966580,82067902,82091249,82149801,82364001,82619254,82650724,82716502,82810870,82862961,82971049,83237031,83502753,83694502,84071331,84233393,84292792,84404244,84592745,84908875,84988041,85046356,85092312,85181046,85285970,85324944,85340121,85588146,85605735,85740694,86252260,86252721,86308852,86393580,86620445,86685054,86814694,87231670,87429005,87527284,87531529,87648801,87685566,87706650,87718353,87772873,87854655,88050616,88065753,88113670,88135161,88214220,88353762,88401213,88480102,88484404,88733370,88758753,89041805,89288477,89444105,89521752,89769684,89846045,89949113,89989054,90206241,90494782,90676734,90782552,90928386,90974749,91312784,91438521,91850345,91909812,91925044,91998502,92153152,92228927,92512870,93433606,93553760,93557555,93663449,93711632,93845645,94095168,94176881,94213654,94547206,94641245,94648928,94820721,94829391,95038505,95208519,95529135,95710564,95728851,95990562,96019270,96034232,96038257,96102334,96276810,96289881,96489321,96612414,96632086,96870334,96944614,97066174,97104246,97150804,97218753,97595646,98086614,98208753,98359896,98512216,98597645,98796886,99056943,99124222,99264711,99344692,99373044,99422782,99712606,...,38532855461095152503005498043494741878126314985762313698388256378823968803541754544345555188469341954196238480487546333284766672681353417738495263355474253821000609208430690761780807150336885267307240265444208331023819401725683731658048791289334114644124608312097470739023854675287234888477271910421921114107224835974914954216664434523073232825950762444634825358184059266117155732332281335620333345507179898477046938667614885722337064015090710665033865603033805524917743074902423411592764378056628448974917138078681355691467498067145850295740784386333308328023446776988355131535996559617849029955181228261610266227927700238422632944666698546951861722623194030302471070771865142872096800839648426909546573831908419961902972118582740291892347293828830131340001842653634148134340151278440907981519180724989657787826193546005797110173061782319156846986288162544655527942633263701934860317615715369832196171788796721339453909779151077653278194430929025984881196551197692291818792623979723299320134057874781880450439680194170428268523019702968807869624147799330557380401391080005752777297881005603226770623242490237104934881400656321030190010792952579068025358465027312883246755473713814502186468038371167587806713087968748771050412002535695158193082389286978043706155853172995821767654935872524174574606749679649480799181630162912544525397503029078354664641285623203251971647238910534962733367602948982071164671318464875668800590887987580905657649026825896922760481968134049753195321105958344884460366154022100373577601244867530263347253888876916503972239908772453950080919695091772145839011390030333879540503114238518751835375525869112300186401317991491882551002100541051189027482164822079926304085643968763164810081133258906309294401501790653596073904412713545734947076771457548200981762517794230074575192875751084523579585592896249348614537886725012955983554475029560156921694440194350372745589961624230755137541880019895655886849943653160730943424470041028901799185708350162471467720339048145559792257439064417455734992071258519440094756363747894655136023079864768068743976049855260685656749403802013189771753724476490257518222142823595935930022598111774979551420758218589621844227632170115433549495365114233094282289049511843691117319262593503917118030781684746316928657918250265445704845658715331304940574035392561528849353266572722066260773458593212531450299867251377710376954715800861811341624082568451782810625774551508605577791412359672890088149757334056906208552393656462516550025071168738769302927312790924920509043}
15856 11877372903427172567733621685121510186954212571495317870598560206: {743023,837559,932023,981026,1170458,1309159,1403263,1685143,1835468,2115458,2713159,2719148,3547783,3853004,3994658,4984268,5185352,5563423,5833521,5926159,5941928,6016663,6045146,6488588,6601346,6684669,6697928,6827959,7114028,7354905,7365583,7453352,7535169,7642509,7845232,8385021,8445986,8521543,8698303,8825886,8962903,9050959,9098225,9632553,9728666,9921021,10363159,10469288,10490649,10849868,10883503,10917870,11221832,11345804,11467325,11645728,11659159,11777949,11965004,12283593,12599263,12624561,12725192,13101444,13201004,13277503,13760790,13941068,14187849,14226248,14252066,14270109,14315841,14445105,14536783,14556908,14623325,14678176,14731213,14794505,15035959,15326673,15408112,15663404,16004529,16036226,16190623,16272559,16354423,16512948,16568666,16745858,16767308,16889804,16988225,17334126,17412103,17547990,17624108,17629658,17753406,17815663,17896159,17976583,18235148,18685466,18717856,18718609,19015543,19113081,19174303,19333004,19560093,19806463,20008505,20085146,20355823,20385870,20668159,20952488,21044590,21057588,21060413,21366703,21744928,22167386,22212559,22247948,22440872,22677305,22803729,22855565,22898143,22973959,23285825,23457068,23571549,24010206,24027823,24180009,24463044,24741026,24783404,25245981,25253508,25264748,25582159,25733265,25874623,25986065,26157453,26361118,26383663,26491569,26740870,26954345,27065228,27104743,27113858,27212766,27347593,27391159,27426678,27448816,27462583,27676423,27923901,27942990,28031383,28381004,28785725,28791458,28875943,29292305,29454668,29799965,29805856,30063700,30123343,30169004,30465703,30533959,30620186,30879918,30882188,31139825,31183278,31549159,31677646,31817143,31949804,32068268,32080713,32089044,32103458,32159105,32216959,32283343,32345214,32396150,32535569,32631729,32922458,32943223,33085826,33315873,33530312,33531588,33854959,34387586,34430828,34542665,34542870,34749949,34999112,35150766,35196506,35301497,35365533,35447959,35651518,35759958,35823583,36021993,36072559,36076440,36194348,36751303,36845728,37122950,37334409,37359905,37367790,37542223,37601666,37602559,37658740,37716908,37721601,37760858,37919906,37963063,38142343,38191325,38201959,38396186,38481536,38590926,38703741,38875380,39067990,39195905,39374001,39699788,39858976,40048748,40186063,40527559,40584223,40585995,41070626,41214849,41451198,41451444,41467072,41640905,41693858,41702383,41846150,41849306,41905004,41977423,42099005,42101825,42293373,42535905,42883325,43269233,43291728,43484383,43537159,43537265,43763528,43857026,44060959,44268463,44445725,44547540,44628823,44831886,44841348,44888649,45190488,45253780,45363404,45371632,45525453,45785705,45829590,45937004,46019105,46280542,46395308,46650456,46712265,46765063,46813159,46840029,46861183,46881588,47004823,47035086,47048858,47337463,47390888,47517376,47806543,47992159,48027742,48038383,48114632,48241505,48496663,48559641,48632743,48703194,48884896,48937798,49233969,49289858,49361804,49391623,49681565,49826416,49871129,49957903,49969086,50177186,50215159,50215380,50383628,50430710,50469823,50518806,50522190,50805343,50818353,50839299,50846959,50930740,51043086,51459990,51664159,51995801,52061959,52244718,52297183,52481763,52870508,52987303,53062543,53314749,53334870,53457048,53496861,53544583,53563072,53608324,53651265,53682909,53798200,53799103,53818586,53890336,54085663,54121159,54128961,54249506,54297559,54304536,54332623,54536153,54842721,54890656,54942846,54986253,54995508,55119223,55222926,55320392,55351063,55453868,55931023,55994150,56054718,56169377,56316305,56419305,56426959,56457343,56591601,56890528,57049903,57147629,57228016,57301678,57470888,57716105,57857959,57889806,57964663,58123505,58464908,58487426,58518509,58530943,58765346,58807606,58849183,58892253,58935065,59181146,59277053,59337559,59394413,59471263,59558959,59617878,59906348,60100903,60139179,60180592,60214173,60257863,60258456,60277159,60330152,60391423,60484663,60516852,60522975,60557786,60569804,60626628,60989959,61086943,61092603,61116888,61121804,61227559,61391503,61505945,61562828,61640983,61706143,61751988,61813190,61995921,62026903,62055458,62172559,62182423,62216105,62235441,62304103,62312959,62364583,62389423,62437159,62608159,62658703,62717023,62734159,62840863,62852743,62853103,63069065,63212108,63215529,63267866,63304505,63891272,63908225,64001844,64069658,64381518,64526348,64557840,64654749,64739913,65388813,65394458,65408150,65459825,65535041,65581521,65653809,66115060,66182426,66489068,66568558,66872481,67190705,67192980,67579566,67703166,67790763,67791788,67871421,68000858,68481545,68611060,68756499,68852648,68861696,69259326,69308889,69748206,69911140,70109825,70423586,70549658,70675586,70722078,70723169,70980545,71028428,71177858,71244470,71565068,71566305,71672512,71675048,71877681,71993804,72627570,72758200,72764705,72917666,73490348,73756193,73807134,74143106,74175828,74435705,74455773,74659326,74871458,75086828,75190088,75193004,75284529,75682878,75723404,75829388,75965021,75965406,76337392,76583320,76676108,76689870,77044289,77071325,77143706,77459229,77469408,77843825,77860833,77908790,78331533,78408105,78489780,78551790,79338072,79434733,79518668,79898686,80326649,80628846,80631576,80634008,80634429,81306458,81639470,81783005,81802528,81852975,81859540,81982106,81997678,82160573,82176968,82177854,82317986,82333272,82441868,82645449,82649708,82817812,82874906,82985858,83096666,83583404,83597870,83635312,83648546,83722432,83788576,83893368,84029953,84131790,84192950,84337341,84588849,84955592,85176654,85236908,85282586,85493364,85820066,85879566,86064909,86156235,86198189,86672546,86677004,86774273,87009873,87033512,87153084,87309840,87317646,87426393,87430145,87459549,87701804,87992894,88407665,88453466,88621388,88637825,88880150,88969346,89131148,89150105,89160526,89255331,89322846,89412153,89740576,89741804,89780669,89787266,89793065,89796008,89858356,89888858,90285853,90564873,90574881,90710523,90713259,91107965,91263404,91575209,91667948,91899984,92010705,92027844,92356701,92381858,92449089,92485590,92582633,92588705,92624931,92961617,93130496,93236168,93251825,93412590,93490548,93543153,93738626,94089726,94187736,94262148,94307345,94311458,94380039,94718265,94887905,95097940,95160986,95254658,95575041,95745617,95884748,95918973,95977928,96027009,96183788,96550946,96681548,97188506,97421505,97549658,97743305,97797005,97912701,97967364,98015800,98139606,98144752,98223570,98231448,98651296,98795546,99520564,99640096,99668481,99754658,...,51377140614793536670673997391326322504168419981016418264517675171765291738055672725794073584625789272261651307316728444379688896908471223651327017807299005094667478944574254349041076200449180356409653687258944441365092535634244975544065055052445486192166144416129960985365139567049646517969695880562561485476299781299886605622219246030764310434601016592846433810912079021489540976443041780827111127342906531302729251556819847629782752020120947553378487470711740699890324099869897882123685837408837931966556184104908474255289997422861133727654379181777744437364595702651140175381328746157132039940241637682147021637236933651230177259555598062602482296830925373736628094362486857162795734452864569212728765109211226615870629491443653722523129725105106841786669123538178864179120201704587877308692240966652877050434924728007729480230749043092209129315050883392874037256844351602579813756820953826442928229051728961785938546372201436871037592574572034646508262068263589722425056831972964399093512077166375840600586240258893904358030692937291743826165530399107409840535188106674337036397174674137635694164323320316139913175200875094706920014390603438757367144620036417177662340631618419336248624051161556783742284117291665028067216003380926877590776519049304058274874470897327762356873247830032232766142332906199307732242173550550059367196670705437806219521714164271002628862985214046616977823470598642761552895091286500891734121183983441207543532035767862563680642624178733004260428141277793179280488205362800498103468326490040351129671851835888671962986545029938600107892926789029527785348520040445172720670818984691669113834034492149733581868423988655843401336134054734918703309553096106568405447525291684219746774844345208412392535335720871461431872550284727646596102361943397601309016690392306766100257167668112698106114123861665798152717182300017274644739300039413542562259253592467163660786615498974340183389173359860874515799924870880974591232626721371869065580944466883295290293785397527413056343252085889940979989428344692586793008484997192873514697439819690758325301399807014247542332538402684253029004965968653676690962857098127914573363464149033306068561010958119495792303509560153911399327153485644125709718732682458254823092350124671889490707708912995089238210557667020594273127544953775073254098713856748705132471022096962755014364611457616708600399823001836947169272954401149081788832110091269043747501032735344807437055216479563853450866343112075874944736524875283355400033428224985025737236417054566560678724}
15857 11929578815325513704918382051320842820471426665670390820287653303: {1471539,1755687,2294335,2753202,3173187,3398935,4003219,4078722,4537183,4572847,4816255,5045623,5199187,5779506,5860687,5991987,6184447,6230335,6434263,6481690,6521683,6864578,7427410,7474819,7476402,7778028,7816562,8110735,8331343,8372410,8422999,8710759,8892535,8912892,9067719,9160627,9316690,9651967,9732882,9806540,9819103,9902019,9940087,10046892,10190012,10245763,10671042,10879999,11134543,11180028,11267539,11419874,11547607,11767848,12305863,12447967,12665719,12668979,12843404,13086610,13228028,13238829,13443247,13482098,13562335,13701523,13987532,14027290,14101363,14182255,14201503,14224087,14254306,14557160,14558479,14592999,14956255,15587674,15617299,15703932,15906490,16274802,16334098,16376805,16378124,16501255,16725922,16804183,16832748,16943743,17006119,17018706,17065747,17426335,17468592,17782810,17947506,17965447,18196135,18333427,18347720,18412306,18524803,18770743,18868663,18917132,19026812,19087788,19260140,19556119,19566847,19579255,19635763,19652166,19801506,20435564,20641185,20911602,20959135,21081202,21112255,21167023,21269683,21339372,21378099,21835362,21890167,22017264,22021018,22030135,22129519,22793935,23108839,23112168,23397320,23495106,23671208,24017714,24054339,24166255,24296947,24637426,24769422,24852999,25118787,25150962,25234018,25334706,25484108,25915039,26001189,26080124,26190610,26321985,26436162,26444487,26462719,26570554,26630109,26631559,27023863,27181160,27352722,27429247,27555487,27807799,27809935,27891823,28028199,28051090,28076784,28119619,28618327,28779586,28802323,28837843,28999506,29149543,29321335,29339023,29781826,30127719,30199303,30211567,30404972,30578805,30623623,30624223,30848323,30919087,30979255,31428732,31566885,31580935,31586382,31865107,31981123,32013608,32240012,32617392,33251079,33371922,33661308,33671344,33831535,33911383,34251283,34311020,34406263,34876604,35109247,35185602,35244079,35322092,35476255,35919319,36015309,36080959,36215378,36283688,36547759,36568904,36694566,36818335,37044898,37111539,37175106,37231868,37257320,37266739,37579625,37711255,37880262,37897122,38061538,38293087,38602735,38704147,39000643,39107266,39541677,39700178,39937255,40071967,40085335,40111305,40597842,40622359,40670787,40819149,41030803,41140017,41173224,41372623,41467027,41577704,41857927,41912890,41914485,42100303,42149042,42571506,42774284,42785392,42807922,43038535,43126952,43187187,43262503,43418383,43508972,43598114,43748890,44182002,44251303,44421164,44587322,44708784,45081619,45095550,45152383,45242935,45253506,45930279,46057160,46064383,46076647,46319877,46323282,46774917,46867688,47073425,47146135,47154044,47438743,47516469,47656423,47656474,47679944,47924706,48029324,48101920,48102402,48133566,48155187,48328327,48405343,48486202,48517821,48594225,49383687,49624735,49628739,49724083,49779212,49823720,50060935,50074514,50287027,50295468,50297382,50812303,50972143,51337807,51454568,51475426,51581379,51604988,51646242,51802183,51814305,51833840,52381255,52388407,52498668,52521043,52658018,52726149,52788883,52794759,52913503,53028826,53271439,53477277,53539399,53639937,53954674,53993647,54040858,54114660,54291522,54467059,54704410,54787459,54953132,55268264,55268592,55684425,55882087,55904863,56051685,56061223,56143939,56391164,56402499,56488110,56567225,56575362,56637463,56641287,56704255,56714540,56782963,56879859,57229378,57387823,57421255,57594279,57722304,57886389,57994135,58013954,58313070,58409203,58544263,58601985,58750579,59203279,59233759,59238610,59396720,59492983,59549682,59643826,59775848,59788464,59851532,60073122,60129682,60143290,60159319,60176947,60246067,60253984,60700604,60766018,60863239,61106120,61351027,61578962,61605939,61702255,61819327,62176797,62177166,62184643,62200608,62283020,62315119,62453372,62508784,62540787,62713448,62715667,62769225,62773959,62857506,62979535,63386863,63485719,63663425,63986767,64481923,64746188,64937592,65141234,65645292,65785539,65791327,65880403,66088135,66447602,66625448,66795218,66821310,66953840,67010405,67247750,67247829,67262022,67358408,67362920,67748959,67757804,67785732,67814098,67880670,68045106,68057448,68082127,68497306,68613320,68719699,68744385,68905506,69150490,69317335,69420813,69430399,69592962,69632098,69659624,69906967,69975684,70322382,70552629,70554757,70573287,71086332,71103043,71113160,71276064,71329148,71350063,71535020,71577212,71726383,71838610,71904847,72041613,72171948,72406048,73054791,73081135,73086226,73123628,73180898,73257128,73315004,73327344,73406697,73412119,73630568,73700666,73934787,74042706,74325343,74336143,74739624,74882935,74953629,75225740,75265779,75323070,75412690,75455468,75575442,75646065,75712255,75778209,75783285,75846223,76082023,76154323,76396110,76402255,76564629,76953535,76980319,77186408,77189985,78345619,78367077,78523004,78526682,78571507,79015135,79305762,79490504,79497127,79573159,79864090,80002305,80185572,80285564,80344608,80412486,80504359,80657935,80689136,80697300,80727879,80835504,80936882,81233959,81234394,81374259,81456804,81484147,81489184,81581647,82131103,82278163,82335984,82414269,82493262,82619167,82643825,82661228,82834389,82980588,83111335,83180802,83605759,83980687,83991225,84082077,84287372,84739735,85335792,85763825,85842024,85876658,85952517,86065810,86077120,86206332,86319884,86359039,86394223,86825203,86834709,87185084,87343954,87388925,87442028,87538412,87697362,87731139,88068943,88148019,88211409,88342339,88403714,88477882,88694359,88771719,88785535,88979938,89163308,89426817,89456335,89590640,89593810,89859522,89960659,89992255,90106088,90151666,90194959,90270888,90387684,90495228,90558962,90775278,90836679,90854706,90926738,90939942,90947750,91393207,91675332,91682706,91749043,91862935,92010194,92054083,92190319,92313823,92344242,92345768,92411852,92627982,92719785,92997608,93083187,93353767,93540914,93611827,93675703,93858535,93987610,93991255,94296104,94582178,94654255,94786735,94818162,94901799,95266003,95421740,95446303,95618743,95709703,95729150,95836908,95845135,96002766,96104487,96535603,96536047,96572277,96789522,96836760,96912343,97755866,98076247,98091687,98112225,98409512,98471618,98527363,98809442,98901104,99172590,99273639,99274364,99377887,99398335,99545768,99615223,99733602,99852837,...,77065710922190305006010996086989483756252629971524627396776512757647937607083509088691110376938683908392476960975092666569533345362706835476990526710948507642001218416861381523561614300673770534614480530888416662047638803451367463316097582578668229288249216624194941478047709350574469776954543820843842228214449671949829908433328869046146465651901524889269650716368118532234311464664562671240666691014359796954093877335229771444674128030181421330067731206067611049835486149804846823185528756113256897949834276157362711382934996134291700591481568772666616656046893553976710263071993119235698059910362456523220532455855400476845265889333397093903723445246388060604942141543730285744193601679296853819093147663816839923805944237165480583784694587657660262680003685307268296268680302556881815963038361449979315575652387092011594220346123564638313693972576325089311055885266527403869720635231430739664392343577593442678907819558302155306556388861858051969762393102395384583637585247959446598640268115749563760900879360388340856537046039405937615739248295598661114760802782160011505554595762011206453541246484980474209869762801312642060380021585905158136050716930054625766493510947427629004372936076742335175613426175937497542100824005071390316386164778573956087412311706345991643535309871745048349149213499359298961598363260325825089050795006058156709329282571246406503943294477821069925466735205897964142329342636929751337601181775975161811315298053651793845520963936268099506390642211916689768920732308044200747155202489735060526694507777753833007944479817544907900161839390183544291678022780060667759081006228477037503670751051738224600372802635982983765102004201082102378054964329644159852608171287937526329620162266517812618588803003581307192147808825427091469894153542915096401963525035588460149150385751502169047159171185792498697229075773450025911967108950059120313843388880388700745491179923248461510275083760039791311773699887306321461886848940082057803598371416700324942935440678096291119584514878128834911469984142517038880189512727495789310272046159729536137487952099710521371313498807604026379543507448952980515036444285647191871860045196223549959102841516437179243688455264340230867098990730228466188564578099023687382234638525187007834236061563369492633857315836500530891409691317430662609881148070785123057698706533145444132521546917186425062900599734502755420753909431601723622683248165136903565621251549103017211155582824719345780176299514668113812417104787312925033100050142337477538605854625581849841018086}
15858 11982012396962493275006099704254940888663221930221551223241443322: {648497,963617,1057997,1120877,1486046,1528817,1675118,1716641,1864046,1962052,1997837,2060237,2340916,2618318,2806526,2806541,2992397,3085217,3301517,3370286,3579041,3670936,3732941,3917357,4009457,4129803,4230916,4315937,4774157,4926497,5139437,5382317,5426318,5438296,6118083,6138017,6468941,6649037,7038257,7095566,7187597,7664141,7706008,7812641,7989316,8669259,8699441,8728877,8964077,9140141,9403697,9608237,9722535,9754097,9968536,10016141,10296867,10370704,10740641,10884941,11000237,11126846,11141115,11214603,11345357,11431457,11667042,11724843,11852318,11883856,12003617,12033326,12090292,12258175,12430637,12558615,12737515,12977176,13202692,13369338,13395856,13560557,13616717,13655918,13728941,13869041,13975035,14228056,14399597,14455277,14599323,14709810,14731166,14733197,14906704,15070338,15285018,15286637,15690464,15699617,16006563,16054255,16056077,16110797,16465697,16535035,16770042,16891972,17043086,17129811,17396606,17484415,17603057,17651772,17925806,17979041,18005837,18086177,18101918,18196450,18885617,18938657,19018157,19203377,19265106,19457332,19629915,19842042,20223147,20358641,20472655,20593037,20712307,20726318,20748941,20852717,20904557,20938576,20981298,21040935,21163277,21381459,21395441,21678317,21699736,21767006,21835740,21934637,22443664,22691608,22901357,22926641,22934650,23279777,23291456,23318318,23381511,23555898,23646415,23783515,23859735,23930008,24056141,24075175,24180641,24412203,24501147,24567186,24889579,25021937,25088883,25144877,25198526,25249122,25316657,25450384,25528059,25544455,25878317,26048417,26202888,26402008,26555006,26674215,26921259,27132557,27466541,27521580,27618459,27704141,27882136,27917297,28011907,28035437,28059041,28375698,28452496,28504132,28529441,28540218,28631682,28880141,28890210,29073566,29113816,29229041,29246650,29321777,29356352,29462426,29478249,29589010,29599217,29702259,29806541,30071918,30492941,30653346,30810797,30816224,30969137,31326808,31367403,31621803,31748227,31855135,31977677,31997791,32009058,32072452,32088737,32177441,32381246,32486897,32545118,32600155,32706977,32708846,32750897,32753043,32816717,32948141,33025896,33031527,33137332,33144737,33491716,33534616,33622577,33730637,33779608,33924641,33976450,34374797,34566641,34651697,34668252,34824206,35095980,35222477,35242659,35248216,35259316,35390477,35506812,35516141,35599757,35631326,35641517,35792318,35849837,35953166,36026571,36036641,36363283,36380491,36470296,36956139,37082957,37143857,37154133,37366541,37370932,37435712,37437218,37726443,37736083,37748897,37851027,37968941,38002059,38006215,38031086,38226162,38267441,38348606,38451127,38666008,38937377,39054641,39120186,39229997,39285915,39612926,39654243,39732941,39855831,39905777,40017010,40170292,40211441,40300015,40382477,40666097,40703777,40711646,40771740,41009227,41029083,41041457,41336318,41616941,41719951,41727437,41874317,41904976,42002417,42076635,42089180,42093677,42115176,42120826,42420557,42733406,42798641,42870257,42888775,42959597,43169379,43350317,43489856,43499259,43509041,43595755,43754657,43963937,44152615,44189357,44275697,44334772,44396237,44425118,44495896,44672739,44881744,44959217,44993057,45022747,45060641,45312941,45354610,45496817,45607458,45711130,45796286,45947918,45993377,46206317,46238957,46450337,46539835,46547441,46571650,46772897,46788941,46885037,46914136,47143098,47379573,47580941,47643437,47830157,47876657,48020412,48046541,48055646,48359731,48360018,48413837,48504941,48641057,48656141,48791537,48926088,48971057,49267697,49414817,49482052,49488077,49566808,49980941,50057883,50351597,50491962,50507016,50529496,50562977,50744717,51158957,51164318,51431117,51466530,51749246,51766817,51972130,52303867,52314906,52722236,52767326,52778403,52983138,52996877,53009441,53072141,53084657,53271437,53467855,53481740,53517677,53748641,53808941,53908690,54095597,54107441,54130456,54209486,54227716,54284141,54323067,54354317,54386215,54412577,54425532,54632141,54695186,54735137,54782318,54792077,54853356,54874267,54897632,54925166,54972941,55041849,55129517,55240397,55262477,55352846,55526455,55567347,55568237,55589837,55750817,55762659,55847802,55885980,56062766,56376737,56468141,56629037,56762008,56820393,56845683,56973857,57070577,57092307,57099437,57242657,57299441,57402797,57571450,57582916,57661517,57751886,57851441,57976097,58246541,58297267,58297997,58425377,58542641,58550957,58584610,58660899,58861037,58909336,58938607,58942555,59097677,59174957,59259041,59327117,59401997,59483441,59490797,59550267,59599930,59611712,59869217,59979041,60036655,60073457,60120077,60127400,60246686,60251117,60334577,60338008,60410417,60429197,60466541,60522017,60594977,60613037,60772337,60886577,60896763,60931406,60952171,60959117,61041137,61051937,61067918,61152941,61199777,61240372,61256141,61361057,61449583,61573997,61659041,61719857,61759836,61764376,61824557,61844897,61951277,61989197,62000417,62040941,62055437,62076941,62146541,62216177,62224015,62225837,62263757,62276141,62279650,62303537,62353517,62366556,62379041,62499377,62511437,62600717,62668337,62675441,62709041,62718497,62723117,62733617,62753441,62774177,62777539,62784941,62790641,62810477,62812397,62833697,62839457,62849441,62861297,62868557,62869335,63098318,63223563,63355292,63634286,63857259,63899608,64099987,64136536,64161426,64178088,64206916,64211883,64318210,64426747,64433918,64506235,64566686,64690428,64792300,65071138,65263458,65397171,65623335,65844916,65886446,66171652,66273003,66381991,66631746,66880983,67060624,67063176,67538107,67643325,67709918,67880259,68691415,68775172,68861656,69085330,69085740,69484923,69499898,69554191,69998224,70054699,70301532,70393012,70488955,70602994,70731066,70893175,70895918,71303036,71484711,71519916,71647166,71887059,72043986,72145118,72152880,72153603,72200349,72388696,72729303,73502606,73691456,74245900,74668818,74719810,74735580,74814415,75084446,75111771,75203332,75205118,75317480,75433816,75443202,75446073,75521716,75839812,75875755,75926126,76284686,76382650,76403918,76792372,76963072,77181852,77213139,77407482,77450503,77469363,77750760,77853775,78066715,78135980,78391810,78748002,78842827,78987027,79399576,79543239,79717952,80097496,80372126,80802547,80932011,80932735,81055118,81061287,81168446,81171990,81372907,81437283,82056615,82141252,82429698,82509091,82902396,82902888,82934144,83281810,83387716,83404766,83581927,83692300,83698612,83810008,83954846,84198010,84203650,84586746,84697255,84732165,84863043,85071810,85766650,85844067,86108323,86538466,86583456,86968766,87020931,87074318,87074530,87102547,87469605,87527056,87714052,88121918,88296691,88536926,88626307,88857915,88891450,89095080,89161435,89257646,89324523,89418775,89465739,89471515,89663772,89682696,89776843,89777298,90109683,90194523,90214935,90380976,90507560,90726808,90743264,91050906,91149027,91404535,91571410,91643755,91659180,91874008,92038210,92368443,92561084,92790616,93265749,93300912,93424530,93530126,93626318,93680058,93722366,93763176,94009646,94032175,94066987,94070172,94097716,94286259,94319335,94674926,94781776,95034752,95613086,95874163,95984318,96055484,96076766,96229264,96483010,96983011,96993326,97098859,97119282,97265486,97406388,97711851,97769792,97875596,98153755,98467938,98579716,98723608,98783246,99363130,99372763,99652832,99671403,99742258,99915806,99938172,...,115598566383285457509016494130484225634378944957286941095164769136471906410625263633036665565408025862588715441462638999854300018044060253215485790066422761463001827625292072285342421451010655801921720796332624993071458205177051194974146373868002343932373824936292412217071564025861704665431815731265763342321674507924744862649993303569219698477852287333904476074552177798351467196996844006861000036521539695431140816002844657167011192045272131995101596809101416574753229224707270234778293134169885346924751414236044067074402494201437550887222353158999924984070340330965065394607989678853547089865543684784830798683783100715267898834000095640855585167869582090907413212315595428616290402518945280728639721495725259885708916355748220875677041881486490394020005527960902444403020453835322723944557542174968973363478580638017391330519185346957470540958864487633966583827899791105804580952847146109496588515366390164018361729337453232959834583292787077954643589653593076875456377871939169897960402173624345641351319040582511284805569059108906423608872443397991672141204173240017258331893643016809680311869727470711314804644201968963090570032378857737204076075395081938649740266421141443506559404115113502763420139263906246313151236007607085474579247167860934131118467559518987465302964807617572523723820249038948442397544890488737633576192509087235063993923856869609755914941716731604888200102808846946213494013955394627006401772663962742716972947080477690768281445904402149259585963317875034653381098462066301120732803734602590790041761666630749511916719726317361850242759085275316437517034170091001638621509342715556255506126577607336900559203953974475647653006301623153567082446494466239778912256931906289494430243399776718927883204505371960788221713238140637204841230314372644602945287553382690223725578627253253570738756778688748045843613660175038867950663425088680470765083320583051118236769884872692265412625640059686967660549830959482192830273410123086705397557125050487414403161017144436679376772317193252367204976213775558320284269091243683965408069239594304206231928149565782056970248211406039569315261173429470772554666428470787807790067794335324938654262274655768865532682896510346300648486095342699282846867148535531073351957787780511751354092345054238950785973754750796337114536976145993914821722106177684586548059799718166198782320375779637594350899601754133131130864147402585434024872247705355348431877323654525816733374237079018670264449272002170718625657180969387549650075213506216307908781938372774761527129}
15859 12034674633422761774734774024124588141208924997688808354587884929: {15859,2229069,2452565,2512677,2796069,2926145,2943078,3212069,3511374,3927477,4209789,4588670,4731077,4758509,5055429,5110829,5288645,5393597,5506404,5963009,6346374,6742757,6797870,6912029,7604129,8006438,8139477,8157444,8722469,8833877,9074366,9145694,9311501,9632510,9986645,10091246,10398374,10593077,10643349,11109509,11355029,11559012,11721374,11983974,12108629,12368894,12449549,12460670,12868526,12906149,12963380,13043366,13729156,14854820,14949638,14952804,14968577,15112865,15180917,15556056,15633124,15897509,16192709,16221470,16503365,16662686,16690269,16744820,16845998,17421518,17500563,17778477,17785070,17825784,18049989,18112277,18135438,18321254,18633380,18871061,18987269,19303934,19465764,19613080,19638206,19686389,19804038,19855157,19859489,19880174,20054007,20065277,20079029,20093784,20380024,20483877,20491526,20938757,21114965,21342084,21759998,21868829,21892949,22064715,22096749,22269086,22299329,22360056,22535078,22605507,22839748,22927527,23095214,23101757,23111777,23535696,23657261,24321665,24396869,24611726,24895934,25155063,25331438,25337958,25474589,25564629,25686808,26094909,26173220,26456056,26477658,26886494,26888709,26964196,27124670,27152877,27294675,27403046,27410957,27558989,27975064,28054580,28202726,28364510,28403006,28448174,28508612,28897659,29114320,29116958,29153249,29164277,29185998,29342789,29557157,29763063,29815397,29912510,30203141,30797309,30842189,31089477,31175348,31192997,31234598,31407864,31471947,31812980,31911509,31985189,32549604,32578901,32650509,32668196,32735597,32753610,32756248,33002510,33232277,33451844,33608366,33665496,33765869,33832757,33887486,34012238,34037412,34039109,34131494,34255661,34401975,34852670,34937184,34977477,35113709,35333847,35565620,35572577,35630165,35895012,35930894,36392270,36457109,36666854,36695440,36824612,36850779,37049606,37271477,37541486,37737326,37797789,37834264,37873683,38053624,38175576,38520280,38569301,38933909,39112238,39133694,39158510,39271526,39304332,39344261,39427589,39603012,39832509,40077089,40090565,40478789,40871128,41049869,41282370,41374157,41421665,41823204,41864645,41918270,42162404,42224510,42334046,42538049,42539366,42563547,42678744,42756198,42810327,42947523,43335315,43370957,43423901,43446509,43610349,43670724,43780334,43869975,44034528,44042036,44060270,44074145,44193639,44213309,44256929,44259038,44383515,45107877,45372869,45587870,45980019,46091669,46217678,46224336,46713665,46782389,46794640,46976549,46990212,47303117,47342416,47364149,48013587,48035428,48108678,48188897,48332510,48334469,48490949,48571869,48593894,48817677,49063269,49241237,49274852,49538844,49666757,49705998,50212865,50237574,50301924,50468036,50669412,50964675,50968216,50978621,51344369,51497429,51545669,51808769,51830078,52002378,52160248,52236309,52381220,52481957,52611475,52643970,52795757,52872324,52888974,52920269,52925438,53141108,53260218,53263061,53263118,53278277,53446989,53458589,53688477,53929749,54000509,54043829,54047726,54362320,54705444,54858494,55110974,55418465,55615598,55619870,55783646,55889189,55912157,56056398,56063969,56102180,56119469,56151077,56153568,56155827,56239238,56616869,56644661,56790221,57046629,57236654,57339243,57377549,57499277,57522909,57559172,57604646,57675686,57999012,58299086,58416629,58551749,58557377,58642670,58678046,58680279,59138621,59211629,59419389,59563652,60025515,60187229,60253949,60255438,60398606,60423134,60809944,60870977,61067469,61157610,61247246,61248446,61696646,61838174,61852565,61958510,62004477,62192549,62656661,62857464,63133770,63161870,63172764,63181239,63340109,63730214,63917297,63962246,64027216,64100109,64292597,64480024,65234784,65848949,65902795,66004589,66502158,66637677,66743844,66852175,67322616,67342688,67474517,67663070,67736189,67784645,67822766,68031915,68113637,68411187,68502566,68566695,68622040,68658341,68694429,68812526,68921877,69092189,69439277,69460061,69474629,69753208,69857475,70085309,70218494,70309889,70371204,70488158,70644184,70714647,70844141,70952510,71097377,71442437,71838638,71978645,72030618,72083469,72161918,72421301,72430756,72540027,72567376,73095518,73137808,73333757,73389132,73636670,74057909,74089796,74223078,74350212,74463736,74514640,74533478,74854349,75028577,75159250,75422510,75737943,75760524,75794244,76091789,76123076,76205909,76270757,76550465,76586174,76746477,77199795,77205470,77370557,77408294,77623869,77958195,78001286,78214532,78472359,79083354,79150989,79194115,79385957,79400356,79474707,79874510,80143934,80164781,80170670,80222610,80258645,80389757,80657669,80863035,80990375,81076997,81191789,81195684,81244718,81314229,81341574,81638298,82042779,82061606,82141601,82173477,82202069,82280034,82288877,82306145,82346448,82387749,82714565,82745246,82934054,83029269,83069501,83155408,83715854,83771703,83825780,83828970,84030869,84094149,84200606,84250661,84298084,85143012,85548568,85570784,85615844,85968965,86077070,86253904,86357175,86374374,86383157,86525006,86627829,86759777,86836301,86836766,87017944,87196228,87280397,87497780,87553877,87795317,87876915,87991265,88171349,88364004,88502606,88842328,89128795,89174644,89354621,89399895,89417568,90163238,90191100,90304766,90370029,90485870,90507012,91091957,91397109,91601877,91860558,91919969,92114320,92128766,92153294,92339069,92364989,92523389,92590277,92639754,92646564,92807375,93419475,93549834,93735376,93814567,94004165,94146850,94292270,94308088,94402145,94647477,94799765,94877486,95032938,95312846,95312948,95359888,95451429,95572661,95849412,95954837,95990465,96058648,96203840,96204804,96242139,96267132,96310374,96415301,96477315,96650877,96656654,96810686,96850029,96925037,96972404,96994397,97035642,97044269,97188450,97237829,97606707,97669975,97895187,98767374,98829669,99126389,99249470,99257478,99448166,99558424,99647440,99947619,...,154131421844380610012021992173978967512505259943049254793553025515295875214167018177382220753877367816784953921950185333139066690725413670953981053421897015284002436833722763047123228601347541069228961061776833324095277606902734926632195165157336458576498433248389882956095418701148939553909087641687684456428899343899659816866657738092292931303803049778539301432736237064468622929329125342481333382028719593908187754670459542889348256060362842660135462412135222099670972299609693646371057512226513795899668552314725422765869992268583401182963137545333233312093787107953420526143986238471396119820724913046441064911710800953690531778666794187807446890492776121209884283087460571488387203358593707638186295327633679847611888474330961167569389175315320525360007370614536592537360605113763631926076722899958631151304774184023188440692247129276627387945152650178622111770533054807739441270462861479328784687155186885357815639116604310613112777723716103939524786204790769167275170495918893197280536231499127521801758720776681713074092078811875231478496591197322229521605564320023011109191524022412907082492969960948419739525602625284120760043171810316272101433860109251532987021894855258008745872153484670351226852351874995084201648010142780632772329557147912174824623412691983287070619743490096698298426998718597923196726520651650178101590012116313418658565142492813007886588955642139850933470411795928284658685273859502675202363551950323622630596107303587691041927872536199012781284423833379537841464616088401494310404979470121053389015555507666015888959635089815800323678780367088583356045560121335518162012456954075007341502103476449200745605271965967530204008402164204756109928659288319705216342575875052659240324533035625237177606007162614384295617650854182939788307085830192803927050071176920298300771503004338094318342371584997394458151546900051823934217900118240627686777760777401490982359846496923020550167520079582623547399774612642923773697880164115607196742833400649885870881356192582239169029756257669822939968285034077760379025454991578620544092319459072274975904199421042742626997615208052759087014897905961030072888571294383743720090392447099918205683032874358487376910528680461734197981460456932377129156198047374764469277050374015668472123126738985267714631673001061782819382634861325219762296141570246115397413066290888265043093834372850125801199469005510841507818863203447245366496330273807131242503098206034422311165649438691560352599029336227624834209574625850066200100284674955077211709251163699682036172}
15860 12087566514019806065807329299398232976013698423975622640548355005: {585451,680131,1152451,1296994,1927234,1998091,2115994,2241754,2837899,2972092,3023731,3057634,3116539,3301939,3350236,3433282,3728092,3764179,3924104,3995674,4120474,4316491,4414617,4681832,5236636,5267061,5413339,5613052,5613082,5685931,5984794,6170434,6319459,6499819,6603034,6679891,6740572,6883005,7158082,7341872,7465882,7486651,7665139,7834714,8018914,8259606,8287579,8376211,8461832,8631874,8730019,9170659,9434179,9519561,9548314,9784531,9852994,10046539,10196805,10220851,10278874,10764634,10852636,10876592,11174419,11604979,11862451,12009657,12236166,12276034,12460699,12937882,13140091,13298074,13611549,13718541,13982851,14076514,14191132,14375194,14448765,14735179,14984659,15136869,15316291,15328282,15399019,15412016,15597561,15625282,15729211,15978632,16140331,16204225,16549651,16631299,17161445,17338518,17398882,17457754,17582061,17832521,17928154,17975961,18008299,18280282,18553341,18568525,18691005,18807394,18888211,18967771,19216474,19285291,19302789,19445070,19508194,19541405,19565049,19937072,19995499,20032282,20230939,20543851,20593734,20621899,20741408,20931025,20933371,21011059,21166219,21481282,21769882,22000474,22253692,22282230,22397131,22424457,22429206,22475957,22549699,22690714,22862914,22929859,23149049,23291725,23334084,23449686,23609611,23704636,23767712,24007234,24066652,24180584,24332205,24478181,24516350,24729571,24861274,24994029,25025491,25117230,25173019,25268997,25475030,25687099,25954352,26052139,26132277,26405384,26677605,26738676,26791712,27121114,27203157,27233434,27311836,27457882,27481881,27565651,27738082,27950070,28063099,28345771,28456112,28549685,28661717,28799194,28910554,28955901,29198646,29256499,29326051,29414957,29419620,29457309,29462332,29466394,29706057,29810899,29813408,29820261,30140676,30570036,30573274,30737289,30837979,31109131,31380928,31399234,31715011,32013126,32108510,32112154,32115691,32221594,32639997,32716525,32931394,33070070,33104981,33296921,33403629,33540084,33627619,33705245,33783944,33802617,33951259,34086172,34259622,34401331,34642821,34793212,34968830,35068225,35206114,35290891,35303544,35353891,35416819,35635765,35667811,35762237,35851612,35958082,36011674,36172354,36203836,36228331,36392900,36537211,36917589,37088659,37149571,37343901,37453051,37771234,37877314,37997157,38006937,38036314,38114371,38293219,38406754,38530212,38766979,38914664,38943451,38969185,39177739,39259830,39352699,39684084,39716487,39758419,39766225,40160611,40329741,40446294,40687005,40717282,40835245,40945310,41066659,41104569,41178619,41186074,41424614,41452636,41497882,41512771,41568211,41623579,41705434,41809114,41814805,41844331,41877152,41962596,42081870,42118651,42304089,42326554,42546765,42604509,42672261,42762918,42790882,42974789,42984379,43356634,43399472,43410331,43534012,43671480,43675437,43778997,43779259,43869274,43884019,43988491,44196571,44457025,44597189,44868765,44887328,44966611,45383216,45442241,45640217,45802714,45853282,45869300,46017451,46030765,46262971,46555219,46559554,46582912,46636636,46700371,46763022,46796779,46851897,47111796,47292830,47567030,47604619,47651491,47719470,47860016,48112282,48150350,48361282,48437299,48664459,48824406,49002294,49130415,49134372,49290931,49503765,49511251,49779158,50043874,50118571,50161411,50177766,50289754,50397052,50412549,50498244,50585851,50633314,50831229,50900768,51018357,51056118,51088910,51167971,51197241,51453739,51534739,51756634,51815971,51935419,52096834,52211611,52279005,52405776,52638499,52703005,52804016,53019019,53094259,53110012,53169211,53208701,53348430,53722171,53842518,53896341,54010459,54046171,54117379,54258931,54265114,54294139,54434251,54588405,54915571,54933082,55000281,55043160,55052545,55236918,55408282,55415611,55473781,55481059,55574409,55611091,55764272,55834594,56023814,56070874,56118082,56213011,56312229,56420021,56519371,56605989,56639899,56751396,56904992,56994571,57008264,57058882,57080436,57110491,57253771,57263364,57760282,57780420,57835891,57916459,58128139,58147132,58227632,58309579,58437019,58458082,58493300,58562659,58643554,58668357,58700541,58712704,58737765,58907289,58924852,58956498,58976371,59178020,59198434,59324131,59404518,59436451,59458699,59502979,59612419,59613082,59762611,59888539,59929939,59950531,59991499,60044285,60052411,60143836,60534811,60607819,60625891,60750379,60985882,61034057,61054291,61166179,61274539,61304851,61306692,61319899,61379371,61394059,61452091,61592131,61593565,61621594,61632448,61813661,61923555,61938274,61957531,62014411,62091019,62122771,62243299,62370811,62379379,62404651,62484211,62514019,62528491,62596531,62621731,62653616,62705971,62734806,62739739,62757451,62769979,62800219,62816779,62822899,62831539,62855659,62877405,62880931,62884891,63085045,63243606,63336765,63496454,63501069,63710270,63809049,63955354,63995582,64018116,64134297,64144904,64177474,64354882,64762492,64973794,65090236,65155769,65200310,65413954,65417692,65476525,65501794,65506086,65633434,65670501,65896282,66051792,66063054,66090405,66274664,66289474,66388557,66426385,66983432,67069232,67245154,67461274,67559216,67849282,67952900,67994509,68381805,68749594,69133282,69303394,69326517,69336504,69648412,70127725,70191960,70444954,70485318,70496432,70518632,70780954,71013624,71032282,71199514,71262652,71283034,71584636,71699674,71906332,71948965,72053142,72073282,72163017,72498765,72726566,72760982,72890841,72940592,73912278,74165914,74191637,74287714,74308266,74454565,74558997,74733082,74741864,74854997,74871424,74874436,75356361,75452886,75472166,75497794,75702054,75937882,76004118,76012430,76062172,76140701,76452324,76534882,76697212,76902254,77332016,77669617,77737037,77745117,77874754,78003567,78109282,78240372,78368917,78459994,78571830,78965955,79225852,79308486,79333461,79388157,79465882,79711662,79811554,79890327,79894677,80034020,80340584,80422882,80600030,80764954,81071589,81332194,81407554,81423292,81543480,82018454,82058166,82082914,82287741,82519577,82666461,82672636,82791917,83233882,83423397,83429805,83439902,83454874,83675469,83748634,83809952,84004834,84051317,84084597,84153270,84178360,84187354,84230352,84241652,84358857,84841114,85466812,85597282,85699669,85740514,85777550,85854981,85919194,86338758,86406969,86513529,86700634,86979712,86998518,87018082,87113621,87191510,87448629,87509314,87927874,87964005,88017069,88305230,88378714,88551394,88669544,88792474,88850236,88991792,89345478,89763488,89803417,89918434,89986114,90045494,90121282,90308729,90383157,90538445,90597909,90625882,90634701,90709220,90993634,91214916,91422260,91592572,91736415,91870869,91872669,91895836,91957657,91986754,92412634,92477914,92544969,92612245,92757261,92900674,92937765,93079670,93094882,93143300,93545794,93577882,93770074,93828272,94286196,94700655,94742805,94759146,95153845,95161882,95286874,95595321,95660314,95753314,95943369,96040824,96093082,96111292,96167981,96719462,96720036,96827674,97009882,97282114,97312282,97583074,97768165,97852176,97942114,98535394,98684537,98778641,98829634,98964104,98976154,99133616,99250445,99753237,99961882,...,231197132766570915018032988260968451268757889914573882190329538272943812821250527266073331130816051725177430882925277999708600036088120506430971580132845522926003655250584144570684842902021311603843441592665249986142916410354102389948292747736004687864747649872584824434143128051723409330863631462531526684643349015849489725299986607138439396955704574667808952149104355596702934393993688013722000073043079390862281632005689314334022384090544263990203193618202833149506458449414540469556586268339770693849502828472088134148804988402875101774444706317999849968140680661930130789215979357707094179731087369569661597367566201430535797668000191281711170335739164181814826424631190857232580805037890561457279442991450519771417832711496441751354083762972980788040011055921804888806040907670645447889115084349937946726957161276034782661038370693914941081917728975267933167655799582211609161905694292218993177030732780328036723458674906465919669166585574155909287179307186153750912755743878339795920804347248691282702638081165022569611138118217812847217744886795983344282408346480034516663787286033619360623739454941422629609288403937926181140064757715474408152150790163877299480532842282887013118808230227005526840278527812492626302472015214170949158494335721868262236935119037974930605929615235145047447640498077896884795089780977475267152385018174470127987847713739219511829883433463209776400205617693892426988027910789254012803545327925485433945894160955381536562891808804298519171926635750069306762196924132602241465607469205181580083523333261499023833439452634723700485518170550632875034068340182003277243018685431112511012253155214673801118407907948951295306012603246307134164892988932479557824513863812578988860486799553437855766409010743921576443426476281274409682460628745289205890575106765380447451157254506507141477513557377496091687227320350077735901326850177360941530166641166102236473539769745384530825251280119373935321099661918964385660546820246173410795114250100974828806322034288873358753544634386504734409952427551116640568538182487367930816138479188608412463856299131564113940496422812079138630522346858941545109332856941575615580135588670649877308524549311537731065365793020692601296972190685398565693734297071062146703915575561023502708184690108477901571947509501592674229073952291987829643444212355369173096119599436332397564640751559275188701799203508266262261728294805170868049744495410710696863754647309051633466748474158037340528898544004341437251314361938775099300150427012432615817563876745549523054258}
15861 12140689032313960628228302165924919942737059455274464614715519712: {31718,1945491,2890851,3173991,3362631,3433591,3715115,4096603,4187795,4458138,4586451,4660115,4905130,5025354,5149923,5592138,5712103,5852290,5886156,5993511,6180711,6374251,6424138,6545795,7016315,7022748,7129859,7404103,7854954,8170151,8419578,8419623,8425715,8977191,9177340,9209651,9255651,9462154,9517018,9904551,10110858,10221658,10248359,10544603,10577290,10737123,10787194,11012808,11014691,11198823,11752071,11926018,12028371,12389409,12519091,12621803,12692748,12947811,13290323,13485514,13565795,13595740,13824058,13981303,14227691,14322471,14395271,14779491,14896571,15208258,15418311,15430019,16012876,16146951,16278954,16314888,17070071,17444938,17497139,17667754,17738915,18148732,18291388,18354249,18414051,18623002,18775499,19038011,19265020,19406823,19561091,19947111,19973290,20182492,20796748,21044071,21114771,21158011,21186154,21286698,21562791,21612403,22219018,22238771,22302163,22710058,22992423,23104711,23118024,23437923,23442748,23967948,24217258,24737788,24899098,24921340,25737052,25747511,25812298,25926760,26007777,26086732,26098323,26186631,26892231,26987603,27420423,27458312,27817115,28211091,28625603,28809671,28824711,29167605,29262291,29560951,29630795,29709640,29899276,29905608,29937154,30048423,30083315,30219251,30225730,30361834,30394571,30801223,30856199,30890601,31112112,31266248,31795018,32221923,32238203,32385418,32442940,32451899,32583043,32654823,33000711,33006730,33325372,33380538,33423345,33489640,33643809,33691996,34036071,34050331,34139795,34261691,34294371,34829303,34843036,35001126,35174529,35556954,35570140,35651568,36010851,36099978,36224554,36270876,36557051,36642508,36774525,36827915,36864451,37266760,37291911,37675845,37742122,37907843,37974538,38125859,38212545,38607868,38713991,38931528,39226160,39260651,39276412,39372778,39608076,39710314,39718978,39760348,40108014,40130554,40158058,40187568,40483963,40681671,40760048,40850151,40967754,40983052,41186823,41607123,41877514,41925105,42229930,42607715,42684168,43198791,43365831,43491515,43519996,43737658,43785898,43797969,44129430,44193498,44199591,44538172,44598658,44720112,44814515,45070156,45211014,45254795,45491125,45679496,45845339,45855054,45859911,46076099,46088411,46104179,46190428,46203514,46223554,46497763,47071392,47098851,47309131,47314522,48019689,48123779,48162765,48168231,48332391,48557863,48643330,48793738,48896731,49223452,49247123,49397091,49605105,49791868,49882231,50216311,50310126,50662876,50675916,50949178,51129258,51373616,51389433,51815795,52189818,52346440,52401803,52453245,52809171,52912112,52955316,53465383,53553011,53772988,53777418,53858179,53928392,53937123,54017511,54249340,54258531,54305754,54417515,54589350,54806092,54821914,55117978,55950128,56109160,56126791,56405452,56444203,56656851,56729020,56806012,56815971,56896348,57017224,57054471,57336625,57384883,57402419,57610131,57795318,57990331,58228640,58233916,58295795,58306498,58328554,58371996,58564819,58610503,58685578,58889745,59114314,59146183,59218331,59526126,59630794,59825020,60174851,60192311,60406282,60669441,61075923,61366631,61417965,61594618,61684378,61703803,61779111,62024131,62136921,62178954,62246823,62350696,62385994,62469196,62558151,62713671,62815728,62943894,62996315,63122805,63489831,63625960,63823018,63970378,64144377,64186323,64300771,65034951,65099208,65157802,65162471,65301018,65336392,65399131,65471194,65507220,65512496,65803911,65897159,66005020,66157619,66177703,66387515,66464554,66903688,67216732,67330992,67531738,67665514,67766243,67774972,67953691,68024476,68074824,68078218,68262988,68511322,68704071,68737271,68779923,68803950,69662651,69705340,69839331,69874368,69954954,70032331,70144533,70227418,70298011,70598503,70667694,70869371,70939245,71131240,71145154,71260330,71350545,71436979,71579205,71790024,71861788,72168423,72225525,72541923,72683915,72784540,72914218,73116625,73236609,73333708,73390880,73393399,73503441,73649224,73656065,73701558,73972525,74099212,74542954,74668737,75065811,75082972,75179795,75266649,75434631,75474652,75595578,75668528,75747366,75949971,76065539,76107248,76351152,76584177,76633365,77040560,77138602,77459531,77585851,77634951,77867818,78145251,78224476,78267388,78317020,78543052,78608664,78688522,78855178,79022471,79165351,79206024,79665018,79742611,80022645,80154178,80181130,80763777,80953115,80957578,81362795,81397671,81742256,81772115,82089163,82099738,82399623,82564740,82748314,82843330,82855377,82953959,83112423,83646408,83660743,83675003,83729290,83751891,83836540,84035721,84106311,84177123,84324808,84431971,84449020,84668092,84941125,85076098,85078732,85127094,85357488,85512396,85588323,85620654,85895046,86593591,86635499,86640423,86670630,86741914,86847802,86893018,87060515,87220698,87341448,87560668,87687123,87739950,87806539,87850499,87965331,88069056,88084072,88091411,88120540,88148290,88387278,88426618,88434747,88513858,88518076,88767030,88797651,89078315,89106777,89419623,89480795,89882915,90215754,90745738,91009603,91175740,91416803,91437931,91478823,91960038,92099291,92183338,92263913,92432391,92435356,92448672,92907411,93427330,93564778,93589280,93593045,93713383,93953098,93980424,94102209,94451491,94606234,94672391,94684832,94728298,94865409,94898503,95077715,95244681,95565405,95734139,95871515,95933031,95993373,96027174,96070856,96217356,96266211,96325403,96377794,96532323,96560231,96665020,96668938,96981898,97143738,97187788,97250491,97460691,97548679,97635354,97800465,98120931,98126538,98252691,98259129,98450151,98482474,98549704,98553191,98844423,99032315,99077688,99094581,99333514,99411996,99434211,99568963,...,346795699149856372527049482391452676903136834871860823285494307409415719231875790899109996696224077587766146324387916999562900054132180759646457370199268284389005482875876216856027264353031967405765162388997874979214374615531153584922439121604007031797121474808877236651214692077585113996295447193797290026965023523774234587949979910707659095433556862001713428223656533395054401590990532020583000109564619086293422448008533971501033576135816395985304790427304249724259687674121810704334879402509656040774254242708132201223207482604312652661667059476999774952211020992895196183823969036560641269596631054354492396051349302145803696502000286922566755503608746272722239636946786285848871207556835842185919164487175779657126749067244662627031125644459471182060016583882707333209061361505968171833672626524906920090435741914052173991557556040872411622876593462901899751483699373317413742858541438328489765546099170492055085188012359698879503749878361233863930768960779230626369133615817509693881206520873036924053957121747533854416707177326719270826617330193975016423612519720051774995680929050429040935609182412133944413932605906889271710097136573211612228226185245815949220799263424330519678212345340508290260417791718738939453708022821256423737741503582802393355402678556962395908894422852717571171460747116845327192634671466212900728577527261705191981771570608829267744825150194814664600308426540838640482041866183881019205317991888228150918841241433072304844337713206447778757889953625103960143295386198903362198411203807772370125284999892248535750159178952085550728277255825949312551102510273004915864528028146668766518379732822010701677611861923426942959018904869460701247339483398719336736770795718868483290730199330156783649613516115882364665139714421911614523690943117933808835862660148070671176735881759760712216270336066244137530840980525116603851990275266041412295249961749153354710309654618076796237876920179060902981649492878446578490820230369260116192671375151462243209483051433310038130316951579757101614928641326674960852807273731051896224207718782912618695784448697346170910744634218118707945783520288412317663999285412363423370203383005974815962786823967306596598048689531038901945458286028097848540601445606593220055873363341535254062277035162716852357921264252389011343610928437981744465166318533053759644179399154498596346961127338912783052698805262399393392592442207756302074616743116066045295631970963577450200122711237056010793347816006512155876971542908162648950225640518648923726345815118324284581387}
15862 12194043186130494923256808043194613810583761015516918669697290693: {47577,837877,932377,1121161,1170902,1360262,1403797,1591861,1779637,2060761,2304902,2593988,2807257,2993161,3641557,3854468,3996182,4231988,4378261,4483508,4561717,4836361,5675798,5944184,6018997,6047462,6115268,6199861,6233078,6470617,6603878,6687207,6700472,6866564,6920437,7099861,7357695,7368457,7456184,7528358,7538031,7725577,7848208,7991348,8240948,8388207,8613337,8632982,8778435,8829234,9054517,9142537,9363664,9636207,10473272,10534122,10627861,10826678,11226104,11226164,11371862,11471675,11491861,11782431,11969588,12177877,12340868,12629367,12638918,12999638,13206068,13359782,13481144,13620361,13766010,14193231,14275527,14316164,14459161,14626057,14683744,14931764,14973302,15125017,15166287,15290761,15330278,15332487,15538837,15669428,15865935,16037828,16115161,16180791,16279177,16361077,16519212,16575158,16752422,16923664,16994675,17094937,17263748,17460038,17500117,17889027,17903497,17983957,18341318,18868358,18943861,19039122,19096628,19182217,19569062,19705988,19893397,20016095,20093078,20228271,20393610,20441702,20557748,20736087,20754697,20910361,21452917,21529268,21705272,21753184,22298377,22348838,22685915,22812387,22864235,22983637,23059417,23209958,23724902,24019314,24026023,24081275,24187477,24418431,24472332,24552068,24921398,25228115,25446361,25875764,25995935,26167407,26280182,26501631,26596148,26900761,27116437,27223098,27357967,27437082,27474457,27759577,27934503,27965702,28153028,28382264,28467337,28678261,28750388,28888537,28897530,29028361,29303435,29376661,29470358,29515477,29959935,29969318,30205237,30273738,30547417,30632582,30656564,30798038,30824032,30922235,31151675,31195122,31250564,31293877,31458422,31630297,31779231,31930047,31957264,32171315,32231317,32280662,32297737,32408450,32430361,32547911,32608415,32760661,33099302,33262598,33328527,33740761,33934837,34065087,34322890,34677036,34704661,34763131,34797764,34831957,34915508,35164122,35526937,35652361,35665042,35856308,35951922,35964661,36016598,36089077,36325887,36560564,36768217,37106682,37137050,37195861,37348647,37374095,37378057,37382010,37614788,37619977,37680277,37776422,37935542,37980697,38219737,38279317,38432948,38570582,38605578,38718447,38890140,38988661,39016388,39082810,39130098,39745417,39874144,39969559,39990998,40064564,40433161,40461878,40546777,40553675,40603477,40716661,40998361,41087702,41187468,41243798,41482816,41656715,41667097,41862050,41866742,41997577,42022118,42107161,42114995,42270997,42332438,42812437,42919861,42962564,43539764,43553795,43558357,43611097,43978261,44000948,44018711,44082517,44341897,44462675,44507384,44564460,44650777,44794262,44848914,44858412,44905731,44951914,45007861,45099398,45159817,45338595,45381428,45511861,45542751,45725828,45803135,45859718,46008661,46254361,46298098,46498261,46583450,46668168,46836697,46884757,46899372,47187343,47219222,47409272,47535424,47692527,47830837,48014468,48016597,48062857,48133304,48259835,48361168,48578127,48664410,48956362,49032700,49095515,49195957,49284661,49459142,49510095,49592857,49700435,49722548,49890071,49988058,50050982,50070807,50234460,50241397,50282243,50346038,50369161,50537994,50788387,50790361,50873737,50950060,51080917,51228815,51374198,51691657,51908704,52104278,52129237,52264554,52403161,52480777,52501689,52810768,53053717,53335431,53355210,53477352,53583424,53646997,54149967,54150997,54242228,54327577,54336831,54362677,54399995,54406314,54466868,54556859,54623672,54778261,54915764,54963762,55131302,55183477,55283161,55476164,55610761,55672715,55771861,55835797,55900140,55994377,56126198,56151157,56337695,56489737,56613183,56691542,56849161,56912224,56961807,57083017,57099370,57140761,57169343,57323434,57340597,57425161,57598388,57647497,57702361,57738035,57784117,57821108,57892117,57911802,57972361,58286857,58363861,58397292,58512998,58540727,58652102,58829914,58839240,58914618,58924664,58932697,58932788,59059167,59214361,59283157,59299559,59412114,59565471,59578467,59595637,59621798,59626816,59640522,59703817,59810197,60162021,60195831,60237087,60276361,60281352,60315097,60334357,60522997,60704437,60827161,60912661,60996361,61045717,61078261,61140072,61146548,61267477,61282777,61358197,61387861,61451631,61474578,61529315,61628377,61675958,61695157,61760137,61835737,61860361,62035861,62058037,62112217,62174857,62218262,62225077,62239835,62244661,62356117,62441077,62562037,62652757,62714137,62761856,62783797,62798468,62816271,62817817,62843161,62881717,62889097,62894677,63328595,63344895,63430022,64026252,64217020,64224308,64231382,64443071,64443188,65279994,65433050,65559923,65606487,65678847,65862788,66140140,66194145,66209962,66290247,66593842,66807258,66897987,67080168,67216235,67255238,67410490,67567888,67605234,67811675,67816521,67902518,68172344,68507615,68519244,68782581,68802662,69285642,69305271,69335331,69586424,69937660,70136450,70412228,70506815,70581782,70607088,70707782,70750031,70833638,70911275,70971783,71007515,71120435,71271530,71335622,71524474,71703224,71916164,72023348,72344708,72407672,72456662,72785800,72792395,72964995,73074422,73190607,73784207,73835178,74177318,74299142,74687802,74781275,74906102,75465189,75542468,75754628,75993863,75994314,76013874,76072628,76228742,76423767,76586438,76693887,76813508,77060424,77073563,77533958,77829328,77886902,77938370,78086495,78284727,78355478,78519660,78705398,79368168,79432974,79516838,79532450,80321222,80357147,80659482,80666127,80892588,81374010,81434564,81458631,81670490,81884025,81890620,82133318,82191791,82209138,82232871,82357238,82372148,82506275,82676967,82849228,82905272,82995764,83025542,83136422,83247158,83410868,83618228,83629610,83688662,83754304,83925192,84020915,84061999,84163740,84237302,84608178,84653108,84718715,85030595,85093530,85209018,85328735,85344522,85525836,85581764,85949578,85968758,86230991,86692977,86713268,86798944,86807219,86820662,87068024,87131675,87342960,87350874,87459747,87492831,87557994,87558518,87738548,87768038,87976982,88028367,88319063,88393142,88671471,88914050,89194378,89289189,89446191,89737530,89774656,89827235,89933222,90609423,90766432,90884482,90980675,91280434,91605428,91609991,91667135,91706564,91738600,92034902,92061530,92391927,92525942,92526567,92617811,92624015,92996939,93110438,93119108,93165824,93268431,93273272,93400742,93526044,93578991,93593558,93703794,93853715,94223592,94343315,94415841,94585660,95134060,95209238,95302982,95438940,95720032,95734527,95781983,95955567,96224564,96300700,96722564,96874598,97328918,97648812,97736703,97780595,97834235,97896275,97951527,98004588,98178815,98206791,98260830,98268744,98581862,99007530,99022502,99558316,99696831,...,462394265533141830036065976521936902537515779829147764380659076545887625642501054532146662261632103450354861765850555999417200072176241012861943160265691045852007310501168289141369685804042623207686883185330499972285832820708204779896585495472009375729495299745169648868286256103446818661727262925063053369286698031698979450599973214276878793911409149335617904298208711193405868787987376027444000146086158781724563264011378628668044768181088527980406387236405666299012916898829080939113172536679541387699005656944176268297609976805750203548889412635999699936281361323860261578431958715414188359462174739139323194735132402861071595336000382563422340671478328363629652849262381714465161610075781122914558885982901039542835665422992883502708167525945961576080022111843609777612081815341290895778230168699875893453914322552069565322076741387829882163835457950535866335311599164423218323811388584437986354061465560656073446917349812931839338333171148311818574358614372307501825511487756679591841608694497382565405276162330045139222276236435625694435489773591966688564816692960069033327574572067238721247478909882845259218576807875852362280129515430948816304301580327754598961065684565774026237616460454011053680557055624985252604944030428341898316988671443736524473870238075949861211859230470290094895280996155793769590179561954950534304770036348940255975695427478439023659766866926419552800411235387784853976055821578508025607090655850970867891788321910763073125783617608597038343853271500138613524393848265204482931214938410363160167046666522998047666878905269447400971036341101265750068136680364006554486037370862225022024506310429347602236815815897902590612025206492614268329785977864959115649027727625157977720973599106875711532818021487843152886852952562548819364921257490578411781150213530760894902314509013014282955027114754992183374454640700155471802653700354721883060333282332204472947079539490769061650502560238747870642199323837928771321093640492346821590228500201949657612644068577746717507089268773009468819904855102233281137076364974735861632276958377216824927712598263128227880992845624158277261044693717883090218665713883151231160271177341299754617049098623075462130731586041385202593944381370797131387468594142124293407831151122047005416369380216955803143895019003185348458147904583975659286888424710738346192239198872664795129281503118550377403598407016532524523456589610341736099488990821421393727509294618103266933496948316074681057797088008682874502628723877550198600300854024865231635127753491099046108516}
15863 12247629977577777185059522535343374168677488360703916227385947658: {63436,1756353,2040393,3242485,3457353,3890982,4818085,5047537,5201161,5289985,5604385,5781702,5862913,5994273,6186793,6347982,6524161,6725262,6867182,7430230,7477657,7644085,7797781,8193206,8367193,8375590,8426197,8513697,8583205,8916276,9071193,9164113,9172902,9320230,9349617,9655633,9810260,9822841,9905817,9943861,9989185,10050708,10299846,10301185,10595761,10884133,11184276,11271817,11292537,11424206,11551993,11704580,11772312,11796001,11987022,12111697,12310537,12361422,12748502,12848276,12949473,13091590,13243851,13448353,13706737,14032630,14032705,14045496,14106721,14206897,14259718,14808206,14961985,15426085,15623233,15709908,15801183,15834361,15901537,16240017,16340302,16507585,16839156,16839246,16851430,16950181,17012593,17057793,17843617,17895205,17954382,18235477,18354680,18419302,18511302,18664705,18924308,18958377,18992113,19034036,19244353,19499457,19563577,19574293,19586785,19691377,19809102,20039673,20047285,20070361,20221716,20443316,20496718,20649015,20678437,21089206,21154580,21175081,21277777,21474246,21517681,21574388,21579685,22025616,22029382,22397646,22459953,22995417,23117653,23504142,23852036,23870785,24056742,24306193,24632485,24778818,24834481,24855097,24862737,25038182,25128633,25243606,25385496,25697185,25895622,25970101,26190057,26472793,26580646,26911585,26971028,27131590,27191480,27511977,27648116,27902437,27962606,28302537,28455382,28558683,28629241,28637737,28644942,28790542,28848817,29160661,29353593,29558982,29793142,29837137,30139617,30223093,30416516,30590415,30635281,30662553,30690085,30836622,30860038,30930853,31200961,31877233,31993321,32025752,32293902,32344705,32557908,32629776,32903761,33245185,33366037,33523257,33774457,34047793,34140142,34419361,34689961,34814937,34889876,34994278,35191285,35335508,35477830,35587353,35932993,35937985,36028971,36297464,36302761,36466417,36561697,36582776,36708498,36828102,37246004,37280953,37382097,37550998,38076022,38320705,38337937,38530040,38718913,38813646,38943961,39063205,39122182,39418261,39420273,39437617,39894222,39946580,39985657,40031497,40364984,40522177,40834647,40874473,41155623,41483113,41593496,41948553,42088142,42116641,42229542,42316022,42372308,42573396,43074361,43125582,43224806,43346295,43457593,43497205,43644385,44205537,44268181,44438036,44477542,44512681,44604326,44820385,44953977,45410607,45420116,45700705,45948873,45984846,46081957,46110097,46197057,46209422,46236048,46446961,46792683,46875846,46885496,46988497,47018485,47136757,47187633,47674681,47795713,47935896,48041185,48081697,48420993,48434516,48466297,48612675,48770485,48800881,49253761,49475576,49593601,49648953,49798196,49842680,49893897,50080705,50146657,50916517,51474104,51484335,51495022,51510577,51559081,51624596,51821941,51853520,52015554,52173464,52196646,52373262,52408501,52746183,52933801,53165761,53497563,53559817,53703205,53784462,53927883,53975206,54024897,54424705,54486757,54840846,54916624,55001185,55634230,55660023,55705575,56073015,56165353,56422182,56631313,56664633,56726785,56873557,56903313,57157285,57251206,57409717,57619342,57649422,57855873,57908367,58335210,58431481,58524582,58566721,58624215,58695147,59121902,59225857,59261590,59419280,59650801,59798552,59811216,59874308,59986497,60018085,60096846,60166630,60202537,60273721,60438502,60451460,60692817,60723668,60789142,60886453,60888121,61181857,61290875,61374433,61602446,61631553,61712398,61781202,61865697,62153185,62208361,62224224,62338993,62532496,62740321,62793075,62800113,63033177,63356713,63411241,63498657,63590036,63687575,64443846,64476337,64476406,64506937,64770836,64885880,64903798,65166086,65309646,65786041,65865697,65905537,66001422,66013460,66650744,66761076,66846690,66979280,67191393,67273371,67287618,67383992,67427871,67649097,67753417,67802785,68072142,68083585,68100662,68130961,68154361,68279590,68523382,68588742,68644705,68675857,68746057,68789577,69183073,69345205,69447147,69457033,69478057,69658606,69671593,69686072,69875175,70002252,70349058,70828833,70878433,71113908,71115733,71140280,71303136,71588857,71997985,72021702,72199956,72276385,72439777,72449108,72541752,72542113,72996615,73114102,73285016,73314421,73434543,73549050,73655830,73665985,73728902,74076817,74188713,74429377,74533520,74583822,74982087,75076473,75351690,75484244,75519057,75806991,75815686,75847537,75875281,75949076,76184521,76251718,76425090,76433185,77010193,77061297,77215736,77427982,77858257,77863056,78047761,78156417,78186277,78396831,78452320,78498085,78521302,78552824,78571237,78745556,79216152,79420628,79437956,79520696,80032815,80216028,80261108,80271275,80280385,80316116,80375136,80553985,80967926,81000337,81363342,81520096,81609471,81614113,81700302,81935508,81966104,82328485,82373646,82445643,82675175,82696953,82964761,83214246,83637913,83755028,83850210,84189297,84459860,84926017,85037313,85215430,85368336,85649055,85758697,85985151,86397582,86572417,86646577,86731662,86867703,86983030,87039992,87422075,87475316,87542677,87571796,87595938,87769497,87861961,87978153,88015285,88187737,88194841,88244871,88258860,88371927,88386996,88399182,89076344,89118171,89197316,89377417,89432697,89440224,89460783,89629030,89895205,89895637,90029185,90140312,90422028,90430885,90509590,90982250,91358992,91690678,91710108,91719822,91943701,92111113,92152198,92176822,92208358,92211867,92380856,92388553,92407028,92447108,92513937,92610361,92942521,92973493,92995526,93327393,93390193,93519121,94142784,94197702,94428085,94618262,94629044,94684777,94693285,95090785,95145033,96016885,96039378,96247558,96325530,96336462,96347073,96664782,97019161,97041577,97115726,97286660,97587476,97793462,97919991,98036497,98114293,98149575,98446904,98494246,98794182,99210210,99314943,99534457,99583736,99653881,99764462,99890763,...,693591398299712745054098964782905353806273669743721646570988614818831438463751581798219993392448155175532292648775833999125800108264361519292914740398536568778010965751752433712054528706063934811530324777995749958428749231062307169844878243208014063594242949617754473302429384155170227992590894387594580053930047047548469175899959821415318190867113724003426856447313066790108803181981064041166000219129238172586844896017067943002067152271632791970609580854608499448519375348243621408669758805019312081548508485416264402446414965208625305323334118953999549904422041985790392367647938073121282539193262108708984792102698604291607393004000573845133511007217492545444479273893572571697742415113671684371838328974351559314253498134489325254062251288918942364120033167765414666418122723011936343667345253049813840180871483828104347983115112081744823245753186925803799502967398746634827485717082876656979531092198340984110170376024719397759007499756722467727861537921558461252738267231635019387762413041746073848107914243495067708833414354653438541653234660387950032847225039440103549991361858100858081871218364824267888827865211813778543420194273146423224456452370491631898441598526848661039356424690681016580520835583437477878907416045642512847475483007165604786710805357113924791817788845705435142342921494233690654385269342932425801457155054523410383963543141217658535489650300389629329200616853081677280964083732367762038410635983776456301837682482866144609688675426412895557515779907250207920286590772397806724396822407615544740250569999784497071500318357904171101456554511651898625102205020546009831729056056293337533036759465644021403355223723846853885918037809738921402494678966797438673473541591437736966581460398660313567299227032231764729330279428843823229047381886235867617671725320296141342353471763519521424432540672132488275061681961050233207703980550532082824590499923498306709420619309236153592475753840358121805963298985756893156981640460738520232385342750302924486418966102866620076260633903159514203229857282653349921705614547462103792448415437565825237391568897394692341821489268436237415891567040576824635327998570824726846740406766011949631925573647934613193196097379062077803890916572056195697081202891213186440111746726683070508124554070325433704715842528504778022687221856875963488930332637066107519288358798308997192693922254677825566105397610524798786785184884415512604149233486232132090591263941927154900400245422474112021586695632013024311753943085816325297900451281037297847452691630236648569162774}
15864 12301450413065514961474614205256977526009385423641099080837282525: {79295,95154,648743,743399,963983,1058399,1152743,1529399,1623383,1675754,1864754,1998599,2061023,2154599,2242322,2341804,2720524,2807594,2838623,3024503,3086399,3183722,3487943,3559274,4010999,4103063,4121522,4378823,4409423,4609804,4867463,5187976,5232599,5475383,5614514,5687399,5836473,5986322,6140399,6501503,7130663,7283114,7488599,7548143,7708936,7726583,7992364,8463976,8525999,8672553,8756522,8820599,8967016,8967599,9055703,9123434,9173063,9521973,9612023,9672722,9845399,10087893,10281599,10300773,10484543,11004599,11091023,11145345,11234903,11351596,11435999,11665343,11865599,11888368,12037994,12094924,12207983,12230536,12262825,12289809,12399722,12466156,12563385,12941234,13200023,13207756,13374414,13400944,13565999,13733128,13759353,13840874,13980345,14042543,14199722,14405399,14544599,14630725,14715390,14736914,14822399,14912368,15044063,15056716,15076062,15154703,15320423,15449769,15451154,15568463,15696416,15982696,16060345,16144703,16199399,16472399,16481896,16554143,16776414,16934663,17136309,17226674,17265964,17340623,17556870,17658468,17980533,18013223,18093599,18109034,18285074,18542133,18727328,18946463,18972983,19025999,19122753,19211303,19272414,19290599,19637385,19738583,20601599,20679623,20939183,20946544,21048945,21068244,21255722,21389577,21653356,21841343,22097303,22212309,22452208,22452328,22454303,22606823,22743724,22943350,22983722,22986863,23087903,23540999,23564862,23655385,23666399,23792545,23939176,24340103,24355754,24510453,24681736,25032599,25106423,25258734,25258869,25277145,25277836,25554145,25694423,25999276,26132399,26412136,26443225,26543663,26719564,26904623,26928623,26931573,26962288,26967985,27144263,27240722,27532020,27573599,27628953,27766953,28022533,28386462,28551054,28632328,28705823,28918322,29055863,29252114,29367488,29380943,29404103,29519783,29713653,29815045,29863528,29946604,30250034,30332574,30483599,30581522,30642863,30660556,30664974,30745077,30824399,30892343,31050599,31077674,31163399,31320983,31338856,31633809,31657343,31731870,31760281,31769063,32009929,32058599,32075656,32211369,32230322,32361582,32558354,32567543,32722154,32831399,33038424,33044073,33050399,33150316,33504844,33596469,33713785,33847328,33961463,33989350,34189874,34527496,34560145,34920076,34985399,35000234,35256213,35301599,35319361,35406599,35469503,35678663,35778054,35806994,35967914,36085113,36377077,36394309,36589463,36682636,37160999,37168227,37201583,37557273,37565399,37736716,37865409,37887722,38020645,38078244,38126183,38165999,38193256,38305103,38364434,38465713,38700383,38818343,38843433,38994743,39138124,39403823,39411976,39770903,39786794,39870969,40032190,40186156,40211399,40456542,40685399,40697385,40787220,40883404,41004863,41023583,41024809,41115496,41472174,41509394,41673743,41820722,41894399,41943909,42022583,42132143,42295943,42440999,42495263,42683073,42905834,42944663,42967413,43058536,43185813,43194143,43291129,43410544,43424399,43506368,43612345,43635743,44002823,44169385,44262863,44338473,44349143,44469599,44596754,44689713,44697676,45015263,45039841,45371830,45569399,45624774,45651781,45728470,45785303,45967274,46016303,46032743,46118834,46254933,46278383,46290057,46419916,46473599,46557505,46748183,46844543,46908623,47195399,47449804,47463863,47854463,47900999,48038628,48052046,48162550,48374954,48440853,48484223,48836862,48944664,49104136,49219223,49307903,49513703,49842796,49933225,49992599,50250143,50420399,50456230,50589503,50729543,50892722,51007223,51210213,51227063,51458399,51751528,51754343,51834383,51953903,51991870,52022113,52151663,52323733,52334814,52412543,52490183,52491417,52560364,52683023,52797863,52965385,53003262,53063303,53192296,53213399,53216745,53485583,53546903,53583599,53801522,54160943,54232874,54337583,54384383,54446196,54715934,54874164,54948914,55062747,55193783,55242153,55436399,55519154,55547545,55632023,55653599,55869006,55931404,55973399,56161823,56197801,56255063,56306056,56326497,56439599,56540999,56661623,56691599,56764528,56775145,56934674,57035999,57103703,57114033,57132599,57151823,57304463,57356522,57436343,57500776,57667943,57722783,57777074,57795060,57858623,57939263,58056722,58220469,58319401,58485599,58606870,58610999,58683273,58753322,58775399,58880543,58940716,58960993,59030954,59110223,59210999,59363399,59385983,59424469,59460743,59636903,59673023,59716103,59841333,59919870,59927183,59938636,59989103,60131063,60177599,60308399,60391703,60410474,60423383,60467399,60486143,60543145,60547476,60560399,60651599,60723263,60787943,60925703,60975313,61014983,61064303,61091423,61094834,61160999,61239599,61265164,61301183,61313128,61376543,61406183,61488599,61545383,61596076,61648064,61686743,61760999,61773863,61844470,61993103,62004599,62042399,62049863,62097599,62126303,62150999,62229383,62247745,62268599,62303350,62306663,62361599,62390244,62433599,62495423,62501128,62543303,62579063,62587754,62651399,62667623,62709599,62718599,62768399,62787743,62790599,62800343,62819903,62833103,62849543,62864183,62870399,62880143,62884583,62910383,62915663,62916599,62916844,63132213,63260594,63344313,63474033,63558462,63860094,63914528,64124389,64342630,64462634,64530745,64561324,64595474,64688373,64816900,64837209,64860722,65095822,65216830,65521322,66198604,66525196,66657054,66716313,66906489,67481522,67563769,67869674,68130174,68645780,68733721,68977269,69314133,69354072,69409322,69526262,69580609,69595528,69663914,69831016,70081297,70313769,70328244,71053874,71304722,71330084,71712616,71720341,71903844,71929322,72033196,72178154,72651774,73121128,73536434,74213364,74274100,74391722,74697294,74748190,74756114,74764020,74842885,75229576,75239954,75360554,75552844,75564325,75871084,75904585,75961394,76159993,76439474,76558634,76865896,77141164,77211156,77242533,77436894,77479909,77780280,77941801,77977322,78023331,78032776,78165620,78260196,78294969,78559893,78872773,79487545,79490834,79748288,79939118,79981996,80129128,80676693,80833249,80866322,80923756,80962809,80963545,81093554,81107350,81206954,81433322,81996722,82175404,82261269,82374936,82487596,82516825,82965632,83313430,83334194,83451345,83613673,83724100,83733484,83995154,84044236,84214322,84229990,84541994,84633273,84664876,85624874,85839722,85876809,85925128,86141041,86429013,86474133,87079528,87107590,87116714,87135769,87222194,87502815,87786873,87956522,88001896,88037422,88165034,88660033,88682853,88683794,88892385,88925350,89014768,89128920,89301554,89588524,89697828,89716824,89810929,89811462,89903828,90015722,90145269,90198796,90249945,90319634,90561385,90657753,90677190,90762856,91023722,91085502,91183713,91451656,91606270,91719436,92017322,92403669,92508722,92568597,92596196,92671803,92996522,93166900,93336336,93673394,93769514,93798744,94102729,94355305,94374686,94438444,94818544,94936345,95070848,95385054,95661674,95910661,96028936,96033194,96125714,96266608,96519670,96665769,96714609,96722336,97019833,97135753,97156254,97328820,97355697,97749129,97912724,97964469,98065400,98191030,98391914,98431945,98569322,98709541,98918284,99002133,99020190,99185714,99275785,99297445,99400870,99410521,99445096,99568609,99780142,99976116,...,1040387097449569117581148447174358030709410504615582469856482922228247157695627372697329990088672232763298438973163750998688700162396542278939372110597804853167016448627628650568081793059095902217295487166993624937643123846593460754767317364812021095391364424426631709953644076232755341988886341581391870080895070571322703763849939732122977286300670586005140284670969600185163204772971596061749000328693857258880267344025601914503100728407449187955914371281912749172779063022365432113004638207528968122322762728124396603669622447812937957985001178430999324856633062978685588551471907109681923808789893163063477188154047906437411089506000860767700266510826238818166718910840358857546613622670507526557757493461527338971380247201733987881093376933378413546180049751648121999627184084517904515501017879574720760271307225742156521974672668122617234868629780388705699254451098119952241228575624314985469296638297511476165255564037079096638511249635083701591792306882337691879107400847452529081643619562619110772161871365242601563250121531980157812479851990581925049270837559160155324987042787151287122806827547236401833241797817720667815130291409719634836684678555737447847662397790272991559034637036021524870781253375156216818361124068463769271213224510748407180066208035670887187726683268558152713514382241350535981577904014398638702185732581785115575945314711826487803234475450584443993800925279622515921446125598551643057615953975664684452756523724299216914533013139619343336273669860875311880429886158596710086595233611423317110375854999676745607250477536856256652184831767477847937653307530819014747593584084440006299555139198466032105032835585770280828877056714608382103742018450196158010210312387156605449872190597990470350948840548347647093995419143265734843571072829353801426507587980444212013530207645279282136648811008198732412592522941575349811555970825798124236885749885247460064130928963854230388713630760537182708944948478635339735472460691107780348578014125454386729628449154299930114390950854739271304844785923980024882558421821193155688672623156348737856087353346092038512732233902654356123837350560865236952991997856237090270110610149017924447888360471901919789794146068593116705836374858084293545621804336819779660167620090024605762186831105488150557073763792757167034030832785313945233395498955599161278932538197463495789040883382016738349158096415787198180177777326623268906223850229348198135886895912890732350600368133711168032380043448019536467630914628724487946850676921555946771179037445354972853744161}
15865 12355505503323072725630242440904769130470202566532066263054766526: {126872,142731,2513631,2797131,2927255,3363483,3400655,3512706,4080786,4211391,4539479,4775583,5338911,5395643,5762255,5965271,6182283,6437519,6484970,6745319,6914651,6914706,7405979,7781964,7846139,8335559,8421771,8715167,8837231,8979483,9636170,9990455,10095074,10402322,10579970,10701719,10924671,11113727,11208770,11563404,11635019,11725826,11988546,12016487,12373586,12522263,12695964,12911051,13048322,13134783,13450524,13685151,13734364,13984859,14189495,14421659,14509083,14860460,14955314,15118655,15186683,15288170,15582695,15595562,16198871,16371119,16386412,16509695,16734386,16751180,16852394,17027394,17166410,17697227,17832552,18056991,18119159,18142386,18328226,18345804,18599583,18640460,18699234,18820895,19311266,19411851,19620520,19645682,19645787,19811634,19887722,19978370,20061621,20101416,20599692,20602370,20761311,20946779,21049403,21087911,21191522,21299583,21582455,21596519,21617879,21768266,21877151,21970619,22073085,22105371,22368552,22543634,22585074,22614093,22848412,23001659,23103986,23110619,23120591,23176731,23409160,23544624,23592002,23666267,23948879,23974044,24223394,24621074,24722844,25053287,25164621,25497004,25696552,25840011,25898946,26130587,26183180,26335305,26487702,26896706,27066695,27163551,27413474,27421499,27427611,28065260,28065410,28066199,28090992,28213442,28413794,28429655,28519436,28908621,29025407,29164367,29616412,29826743,29923970,30211559,30852170,31246466,31419816,31597295,31602366,31668722,31803074,31883583,31997387,32480034,32499095,32591327,32680604,32748059,33015170,33248303,33399455,33419099,33678312,33678492,33702860,33778751,33900362,34025186,34115586,34415025,34475583,34485479,35262071,35347293,35586119,35667143,35687234,35790410,35908764,35976059,36307403,36470954,36533631,36709360,36838604,36873863,37022604,37285691,37329410,37433255,37676219,37848616,37888101,37916754,37984226,38068072,38325695,38488706,38886263,38998914,39071519,39127154,39148586,39173570,39382754,39442631,39618204,40079346,40094570,40140722,40443432,40861083,40886632,40993436,41298030,41341103,41356874,41437895,41881055,42178412,42309160,42350162,42555554,42579693,42826581,42903263,42948492,42966119,43035362,43148776,43159370,43377483,43650095,43878171,44051232,44058764,44273807,44795292,44919906,45282587,45308471,45375051,45498861,45853295,45872283,45990834,45997461,46034327,46235306,46452923,46543259,46616511,46994471,47008284,47170895,47309951,47321159,47597805,47704072,47741570,48113484,48207359,48345483,48542373,48570251,48612386,48837531,48922655,49083231,49260023,49264970,49267799,49436111,49557636,49668962,49710194,49713047,49725474,49749467,50076364,50229083,50232695,50257266,50313179,50487212,50770992,50906063,50984025,51104255,51284811,51394370,51791244,51828527,51940202,52166459,52380114,52500351,52940567,52945586,53161292,53283467,53507663,53648987,53667081,53710491,53823170,53942056,53951871,54263180,54382960,54493751,54688487,54891863,55023954,55296232,55804874,55872095,55925212,56172491,56458559,56605074,56831583,56910764,57117366,57258482,57275474,57278351,57289884,57546651,57581084,57697634,58024895,58321322,58438907,58574207,58707186,58771799,58780571,59117964,59161307,59264231,59312255,59586284,59674274,59680191,60048285,60210191,60279234,60446186,60684813,60804767,60833032,60894191,60896087,61102139,61180830,61270562,61325106,61380170,61673244,61720076,61861706,62208261,62216267,62264091,62303495,62401922,62546279,62731083,62748539,62832263,63754466,63941879,63980987,63986642,64051504,64317119,64358751,64587804,64689410,65115816,65196743,65259552,65700455,65807522,65825879,65874071,66490370,66732074,66895131,67046514,67257659,67364747,67548914,67762031,68057745,68095586,68139623,68278679,68280284,68437161,68592705,68838722,68950911,69178251,69379922,69465911,69629874,69779752,69914255,69988556,70050143,70112987,70382570,70616459,70671016,70871387,70955660,71174706,71386487,71598011,71865986,71875970,72057942,72078069,72243825,72305831,72562431,72594928,72605522,72932834,73123394,73165552,73255293,73303547,73412123,73416996,73656204,73675895,74492008,74561906,74764194,74813339,74923295,75101996,75184487,75684345,76152044,76194587,76235471,76339083,76581455,76641410,76675874,76995095,77001659,77060080,77437826,77627292,77868251,77887922,77987805,78126410,78244364,78386363,78502221,78646055,78836522,78840546,78875234,79185563,79417499,79504893,79788444,79893160,79971314,80020199,80062994,80109851,80546063,80701655,80702283,80729968,81021125,81044354,81108059,81108479,81349311,81669294,81748946,81939647,82073901,82110431,82311246,82423371,82748255,82966226,83156495,83186992,83278731,83803509,83897106,83989943,84025319,84176284,84233282,84459084,84632044,84744616,85146792,85402011,85807225,86034783,86148722,86251164,86438327,86449612,86476343,86665611,86692590,86915186,86994410,87014459,87085083,87288770,87553871,87910305,87961991,88129983,88199243,88411074,88536362,88546431,88862519,88876072,88955084,89025362,89162605,89208652,89640770,89879805,89907954,90041495,90615711,90821214,90840232,91032839,91127663,91401410,91642251,91897746,91969692,92102219,92163914,92220194,92238263,92394114,92418844,92472096,92622203,92766705,92842625,92893922,93455025,93580103,93585366,93737291,93751692,93770992,93881631,93976994,94036970,94273514,94375266,94441055,94838855,94890891,94923899,95317019,95337693,95349362,95591426,95727671,95790141,95871792,96082370,96102587,96163394,96426455,96513945,96693951,96769319,96841986,96869032,96893211,96932594,96963119,97083287,97225350,97291083,97540970,97601762,97643733,97707025,97825245,98049263,98281983,98507522,98951152,99187202,99297906,99596392,99685360,99787794,99977495,99985581,...,1387182796599425490108197929565810707612547339487443293141977229637662876927503163596439986784896310351064585297551667998251600216528723038585829480797073137556021931503504867424109057412127869623060649555991499916857498462124614339689756486416028127188485899235508946604858768310340455985181788775189160107860094095096938351799919642830636381734227448006853712894626133580217606363962128082332000438258476345173689792034135886004134304543265583941219161709216998897038750696487242817339517610038624163097016970832528804892829930417250610646668237907999099808844083971580784735295876146242565078386524217417969584205397208583214786008001147690267022014434985090888958547787145143395484830227343368743676657948703118628506996268978650508124502577837884728240066335530829332836245446023872687334690506099627680361742967656208695966230224163489646491506373851607599005934797493269654971434165753313959062184396681968220340752049438795518014999513444935455723075843116922505476534463270038775524826083492147696215828486990135417666828709306877083306469320775900065694450078880207099982723716201716163742436729648535777655730423627557086840388546292846448912904740983263796883197053697322078712849381362033161041671166874955757814832091285025694950966014331209573421610714227849583635577691410870284685842988467381308770538685864851602914310109046820767927086282435317070979300600779258658401233706163354561928167464735524076821271967552912603675364965732289219377350852825791115031559814500415840573181544795613448793644815231089480501139999568994143000636715808342202913109023303797250204410041092019663458112112586675066073518931288042806710447447693707771836075619477842804989357933594877346947083182875473933162920797320627134598454064463529458660558857687646458094763772471735235343450640592282684706943527039042848865081344264976550123363922100466415407961101064165649180999846996613418841238618472307184951507680716243611926597971513786313963280921477040464770685500605848972837932205733240152521267806319028406459714565306699843411229094924207584896830875131650474783137794789384683642978536872474831783134081153649270655997141649453693480813532023899263851147295869226386392194758124155607781833144112391394162405782426372880223493453366141016249108140650867409431685057009556045374443713751926977860665274132215038576717596617994385387844509355651132210795221049597573570369768831025208298466972464264181182527883854309800800490844948224043173391264026048623507886171632650595800902562074595694905383260473297138325548}
15866 12409796263417866881499410736641596004699787027781571229389323304: {111013,158590,190308,680389,1247173,1297486,1486798,1927966,1998853,2116798,2186053,2305486,3058798,3117733,3246766,3351508,3488389,3729508,3997198,4122046,4309198,4409989,4484644,4683608,4776613,5269059,5441048,5615188,5677246,5778889,6049006,6121179,6172798,6367444,6772453,6975886,7118548,8021998,8206126,8243044,8379493,8757646,8818846,8821753,9219608,9262213,9727455,9734926,10224889,10372059,10375952,10465198,10950766,11006053,11229028,11374798,11672946,11972644,12280798,12806089,13003006,13229989,13736293,13988473,14261326,14454255,14566228,14824393,14977198,15096286,15142611,15405253,15417872,15453166,15603483,15817993,15869955,15984728,16064773,16638073,16813155,16927952,16964089,17051998,17167955,17345106,17513044,17588739,17641198,17774089,17934032,17935198,17982819,18096073,18111406,18246868,18346126,18560379,18575575,18975589,19043946,19224046,19345444,19572483,19690798,20175786,20483015,20563198,20601546,20630473,20864293,20938975,20969086,21019813,22009198,22100389,22182046,22290690,22432971,22469806,22484483,22703192,22871998,22932255,23300575,23330686,23393343,23694793,23731198,23776736,23994889,24075988,24189848,24368389,24415966,24461072,24525650,24579618,24799444,24814213,24932312,25101579,25109989,25126770,25278591,25541091,25749615,25882468,26136133,26400046,26415512,26748828,26801888,26932489,27131998,27213579,27466256,27492339,27518706,27577573,27648889,27681748,27960690,28048851,28085086,28399444,28560515,28810798,28966899,29089198,29261450,29338873,29408389,29430780,29468523,29473828,29644798,29717451,29823973,29824736,29831583,29967555,30088126,30113432,30152124,30309406,30510853,30640846,30851593,30899538,30902308,30903555,31136926,31392832,31787283,31871255,31965392,32120690,32196553,32289406,32398798,32652399,32728975,32944798,32963792,33055333,33108286,33117539,33309563,33552828,33815451,33837253,33869326,33877611,34031113,34272618,34453348,34531928,34655979,34672633,34681246,34990693,35081575,35113740,35316936,35369989,35388003,35432953,35621413,35649295,35746693,35775803,35961066,36026446,36187198,36218068,36244933,36335091,36570148,36615589,36922489,36931611,37020515,37084266,37166713,37454656,37470373,37755179,37892926,37945966,38051998,38245506,38422606,38544828,38581198,38848419,38961673,39254533,39274770,39477166,39661513,39731553,40179589,40236793,40345059,40804873,40850755,41030089,41120211,41203198,41359246,41588089,41643493,41741063,41878366,41893088,42097890,42098115,42128575,42136488,42320163,42511444,42620691,42682489,42779154,42897913,42991091,43306712,43682686,44194606,44270089,44424618,44885955,44904416,44904656,44908606,45090313,45213646,45459479,45487448,45593593,45792889,45886700,45967444,45973726,46040389,46048255,46175806,46278255,46723813,46869699,47012389,47081998,47129724,47199299,47310770,47332798,47403549,47487589,47503083,47585090,47675653,47704611,47878352,48384203,48680206,48711508,48720051,48824953,49020906,49363472,49522755,49536889,50015653,50065198,50187589,50212846,50517468,50517738,50554290,50555672,50612389,50850543,51029989,51037779,51108290,51173379,51236089,51241795,51388846,51481033,51602533,51998552,52264798,52723015,52824272,52886450,53009989,53087326,53228903,53439128,53530851,53685615,53787913,53809246,53857246,53863146,53924576,53935970,54075913,54288526,54324133,54481444,54706431,54775753,54980089,55064040,55073455,55147198,55257906,55347973,55512313,55533906,55610053,55994115,56045066,56551813,56582089,56702473,56772924,56875131,56976339,57102108,57264656,57315589,57411646,57596389,57733059,57836644,57896953,58111726,58497253,58498371,58504228,58622713,58690731,58722879,58734976,58760355,58761886,58808206,59039566,59074131,59223013,59337673,59427306,59495173,59630090,59692489,59727056,59893208,59987833,60089893,60119019,60141855,60211083,60500068,60664453,60665148,60789193,60961273,60967198,61011493,61057283,61163044,61285726,61321112,61329948,61359973,61434313,61480679,61490154,61492489,61563589,61648798,61700389,61784686,61837139,61947045,62035311,62101198,62111653,62155348,62286073,62326798,62333413,62360953,62422693,62448073,62456389,62595455,62641966,62677712,62724553,62735353,62775673,62785033,62802889,62809307,62823589,62871973,62877733,62928889,62932489,63109015,63267618,63314686,63463740,63520562,63525243,63538126,63833331,64019858,64117198,64151312,64422738,64460644,64553043,64723164,64739055,65116708,65135086,65180507,65444308,65662798,66076848,66088146,66100798,66300632,66415583,66451615,67009688,67192938,67379859,67427570,67694656,67828975,67922926,67978700,68379748,68986251,69054992,69120290,69352959,69840152,69906515,69970798,70000468,70512426,70603198,70638722,70813198,70939006,71138455,71357326,71556108,71612355,71613988,71935828,71976355,72170226,72754154,72788618,72918579,73178926,73365272,73897455,74151539,74321998,74336454,74403166,74482855,74503443,74565291,74588211,75114546,75130798,75385899,75473432,75730818,75775444,76041290,76156488,76252366,76331998,76386512,76610206,76728868,76931426,77091555,77150095,77400766,77636686,77686866,77766563,77910303,77989486,78276248,78398683,78570171,78807646,78823952,79418379,79485203,79541806,79573588,79741938,80064380,80372312,80422798,80734755,80913084,81370798,81394770,81574440,81766808,82009726,82047166,82049618,82230992,82535931,82823351,82944348,83018788,83347486,83641444,83707311,83788798,83887818,84045166,84264286,84591886,84760403,84881998,84907611,84990526,85350355,85366146,85676049,85732207,85811668,85887723,85889326,85913211,85934826,86117072,86371626,86388286,86546451,86582258,86821088,86848798,87012736,87146843,87224690,87271486,87481983,87485695,88005646,88060779,88338770,88525726,88676946,88694575,88698286,88939198,89193508,89379426,89395352,89511411,89837539,90030526,90079682,90343043,90418851,90669279,90743660,91138798,91249548,91303562,91456940,91570606,91771245,91905843,91934548,91987659,91992571,92032606,92065486,92070255,92237668,92509866,92556766,92580114,92792559,92839832,92947198,93115010,93496366,93602883,93689086,93817246,93877495,94390798,94899608,94927726,95190055,95631699,95708926,95801998,95979963,96077256,96104092,96325100,96749908,96881706,96968446,97034115,97673724,97805455,97889328,98208272,98438446,98615806,98711283,98816159,99027406,99685592,99735555,99866450,99985198,...,2080774194899138235162296894348716061418821009231164939712965844456494315391254745394659980177344465526596877946327501997377400324793084557878744221195609706334032897255257301136163586118191804434590974333987249875286247693186921509534634729624042190782728848853263419907288152465510683977772683162783740161790141142645407527699879464245954572601341172010280569341939200370326409545943192123498000657387714517760534688051203829006201456814898375911828742563825498345558126044730864226009276415057936244645525456248793207339244895625875915970002356861998649713266125957371177102943814219363847617579786326126954376308095812874822179012001721535400533021652477636333437821680717715093227245341015053115514986923054677942760494403467975762186753866756827092360099503296243999254368169035809031002035759149441520542614451484313043949345336245234469737259560777411398508902196239904482457151248629970938593276595022952330511128074158193277022499270167403183584613764675383758214801694905058163287239125238221544323742730485203126500243063960315624959703981163850098541675118320310649974085574302574245613655094472803666483595635441335630260582819439269673369357111474895695324795580545983118069274072043049741562506750312433636722248136927538542426449021496814360132416071341774375453366537116305427028764482701071963155808028797277404371465163570231151890629423652975606468950901168887987601850559245031842892251197103286115231907951329368905513047448598433829066026279238686672547339721750623760859772317193420173190467222846634220751709999353491214500955073712513304369663534955695875306615061638029495187168168880012599110278396932064210065671171540561657754113429216764207484036900392316020420624774313210899744381195980940701897681096695294187990838286531469687142145658707602853015175960888424027060415290558564273297622016397464825185045883150699623111941651596248473771499770494920128261857927708460777427261521074365417889896957270679470944921382215560697156028250908773459256898308599860228781901709478542609689571847960049765116843642386311377345246312697475712174706692184077025464467805308712247674701121730473905983995712474180540221220298035848895776720943803839579588292137186233411672749716168587091243608673639559320335240180049211524373662210976301114147527585514334068061665570627890466790997911198322557865076394926991578081766764033476698316192831574396360355554653246537812447700458696396271773791825781464701200736267422336064760086896039072935261829257448975893701353843111893542358074890709945707488322}
15867 12464323712773838487816664122532062375974178930824630586793668044: {237885,253744,285462,1946229,2230197,2891949,3175197,3458229,4098157,4189385,4588197,4661885,4760917,4870149,5027262,5594262,5605805,5854510,5995797,6183069,6376669,6463797,6726966,6801310,7018985,7025412,7607977,7959305,8067157,8161572,8173253,8422782,8515869,8898185,9073509,9078958,9213149,9259197,9316213,9551166,10252253,10303805,10463829,10677822,10791286,11018873,11524510,11930542,12032997,12309189,12364566,12626597,12875038,12969940,13136469,13228269,13295369,13490638,13750477,13829302,13829412,13986637,14036285,14233097,14400749,14602389,14811958,14902229,14965805,15435893,15563928,15692278,15697797,15838373,16426149,16671118,16843542,17062197,17076557,17430334,17509419,17674462,17958966,18207785,18297133,18421197,18536573,18782633,19249229,19272340,19504509,19865293,19980910,20190148,20804644,21159940,21166117,21391989,21403438,21523133,21815773,21849342,21891305,22227454,22247237,22417540,22465797,22644429,22808585,23113573,23126808,23179749,23270038,23451652,23846393,23977092,24032974,24181805,24747172,25044526,25117117,25391928,25577997,25757309,25822102,25965277,26017659,26096644,26269566,26349253,26461797,26901048,26902797,27041033,27167109,27370302,27468728,27519189,27969718,28378990,28565919,28836069,28843318,29018166,29536197,29720920,29844749,29910628,30087749,30094985,30215437,30230777,30237310,30263679,30373366,30576340,30844797,30902319,30999305,31165390,31191124,31453629,32353085,32397742,32464253,32595469,32742238,32772824,33013797,33019390,33273069,33436035,33468772,33502360,33704709,33704788,34054788,34274729,34307997,34332820,34602185,34842557,34996029,35394454,35499305,35596797,35665104,36113982,36238318,36284772,36623949,36656452,36691608,36788475,36842285,36869427,37199166,37280920,37398468,37641790,37690155,37893373,38140373,38622532,38627885,38728757,38823702,39025613,39241040,39275597,39291364,39291574,39293449,39600069,39623268,39775444,39801517,39956740,40123242,40202832,40648169,40697997,40884869,41199384,41204740,41278059,41522622,41893558,41941035,42098806,42127629,42175822,42383044,42599166,42908749,43066685,43164910,43193038,43216197,43235758,43536532,43633797,43705253,43754302,43892175,43941238,44146170,44210742,44236213,44272649,44467197,44524037,44737104,45087268,45132189,45170148,45228186,45272585,45464109,45498733,45696824,45712685,45961269,46003318,46093673,46207972,46221238,46241182,46349307,46353462,46705389,46759237,46818320,47089248,47184004,47327173,47332534,47686853,47897758,47948088,48181035,48434109,48446788,48598197,48813293,49242148,49417197,49445688,49662429,50106574,50235469,50329242,50803989,50994008,51393104,51408927,51680022,51797892,52021869,52261174,52366360,52406557,52554413,52670610,52975404,53139305,53141533,53655973,53793412,53878813,53941599,54039669,54133390,54280797,54327102,54822269,54826948,54842998,54855222,54898909,55626399,56130520,56130820,56132398,56181984,56426884,56465737,56827588,56839389,56859310,56918949,57038872,57077997,57358375,57368259,57424313,57459305,57633909,57817242,57871797,58013053,58050814,58328734,58633477,58912155,59168869,59215749,59232824,59653486,59847940,59935597,60423118,60889385,61110133,61197653,61390037,61704340,61804797,62038869,62354909,62492932,62817549,62839632,63146835,63194590,63204732,63236329,63337444,63606148,63767166,63994774,64168731,64194613,64325293,64960068,64998190,65182654,65187749,65361208,65496118,65524029,65597317,65802773,65922293,66030340,66039253,66183293,66291909,66496606,66636927,66798910,66838198,67356624,67356984,67362909,67405720,67557502,67800724,67820469,67958269,68050372,68101805,68231172,68491717,68830050,68951166,68960589,68970958,69200669,69263709,70059049,70325773,70524142,70622997,70625437,70694586,70896557,70966155,70999197,71172238,71251913,71334286,71374468,71377635,71464453,71545957,71580820,71817528,71952118,72295805,72614806,72941908,73020309,73067262,73130285,73418720,73531359,73677208,73747726,74045208,74373113,74571382,74658820,74866510,75097797,75107549,75319269,75352438,75625085,75697232,75776202,75776607,75788413,75831435,75833508,75894653,75968452,76136144,76309693,76453805,76651390,76662435,76920757,76977412,77083269,77694185,77772526,77997828,78143038,78220933,78254308,78297172,78347140,78397197,78765508,78885262,79236408,79329675,79630989,80158692,80189140,80281444,80575805,80713869,80785869,80794719,80886864,80903955,81021413,81234853,81395885,81432789,81722166,81773264,81805385,81986872,82596060,82682206,82713748,82720797,82875790,82886859,83037157,83300859,83762110,84067599,84356824,84618320,84700324,84973375,85111108,85159386,85474685,85653162,85806526,85896984,85932238,86070724,86117469,86297552,86318740,86668733,86754966,87167589,87224893,87300190,87500585,87598573,87756342,88102464,88117528,88142829,88212309,88547614,88559349,89140959,89357033,89445135,89517485,89590584,89839812,89919785,90565174,90616942,90650653,90750102,90997722,91450797,91706590,91744566,91928589,91980637,91981668,91994922,92068654,92235231,92470612,92473197,92638429,92677029,92905846,92997497,93086518,93151797,93233022,93490197,93592069,93736973,93962949,93988942,94016568,94249469,94341790,94487677,94619902,94642318,94719305,94901427,94972029,95195610,95280843,95307189,95408144,95483140,95681333,95911085,96029787,96175797,96226968,96414718,96634107,96690966,97084746,97140502,97224772,97675062,97702629,97845310,97879957,98166462,98494197,98520046,98529940,98535598,98591933,98872222,99115272,99132219,99151197,99316933,99337924,99420388,99426094,99450948,99466985,99498934,99560549,...,3121161292348707352743445341523074092128231513846747409569448766684741473086882118091989970266016698289895316919491252996066100487189626836818116331793414559501049345882885951704245379177287706651886461500980874812929371539780382264301952094436063286174093273279895129860932228698266025966659024744175610242685211713968111291549819196368931858902011758015420854012908800555489614318914788185247000986081571776640802032076805743509302185222347563867743113845738247518337189067096296339013914622586904366968288184373189811008867343438813873955003535292997974569899188936056765654415721329045771426369679489190431564462143719312233268518002582303100799532478716454500156732521076572639840868011522579673272480384582016914140741605201963643280130800135240638540149254944365998881552253553713546503053638724162280813921677226469565924018004367851704605889341166117097763353294359856723685726872944956407889914892534428495766692111237289915533748905251104775376920647013075637322202542357587244930858687857332316485614095727804689750364595940473437439555971745775147812512677480465974961128361453861368420482641709205499725393453162003445390874229158904510054035667212343542987193370818974677103911108064574612343760125468650455083372205391307813639673532245221540198624107012661563180049805674458140543146724051607944733712043195916106557197745355346727835944135479463409703426351753331981402775838867547764338376795654929172847861926994053358269571172897650743599039418858030008821009582625935641289658475790130259785700834269951331127564999030236821751432610568769956554495302433543812959922592457044242780752253320018898665417595398096315098506757310842486631170143825146311226055350588474030630937161469816349616571793971411052846521645042941281986257429797204530713218488061404279522763941332636040590622935837846409946433024596197237777568824726049434667912477394372710657249655742380192392786891562691166140892281611548126834845435906019206417382073323341045734042376363160188885347462899790343172852564217813914534357771940074647675265463579467066017869469046213568262060038276115538196701707963068371512051682595710858975993568711270810331830447053773343665081415705759369382438205779350117509124574252880636865413010459338980502860270073817286560493316464451671221291378271501102092498355941835700186496866797483836797614592390487367122650146050215047474289247361594540533331979869806718671550688044594407660687738672197051801104401133504097140130344058609402892743886173463840552030764667840313537112336064918561232483}
15868 12519088875190004026131362297104106255135236876720764416312834648: {222026,317180,380616,428193,932731,1121587,1360778,1592467,1686427,2061547,2155147,2494346,2594972,2973596,3087187,3550507,3735331,3855932,3997706,4233596,4372106,4610972,4929667,6117596,6202267,6235466,6493532,6703016,6976778,7192267,7459016,7540893,7550107,7817731,7994396,8244092,8391393,8618396,8705131,8781765,8819978,8969288,9146131,9367216,9553226,9760507,10090449,10201965,10538118,10882096,10892131,11230376,11354492,11496427,11557778,12098012,12242358,12345596,12634173,12734888,13544906,13618437,13625827,13878331,13951772,14237096,14326749,14464987,14548507,16016733,16043996,16186929,16203787,16212425,16367731,16412252,16486088,16758986,16939267,17286765,17515292,17637692,17643506,17895813,17991331,18439216,18524426,18546849,18632707,19031227,19190131,19312557,19454910,19469852,20235957,20449778,20743953,20744118,20751904,20930396,21307147,21539131,21901532,22012106,22217937,22458056,22749596,23069131,23345892,23538417,23945288,24035137,24090425,24197731,24561596,25006677,25162747,25237685,25265313,25457227,25612178,26005805,26006012,26145501,26188387,26449925,26459978,26511693,26551267,26938449,27472586,27976946,28021925,28055707,28197331,28522652,28550131,28676221,28760947,28908510,29041027,29132456,29314565,29648786,29954396,29971365,30192572,30285222,30810506,30835744,30906332,30933965,31206966,31635986,31739910,31969456,32105157,32112547,32129546,32312131,32444827,32511067,32620805,32774013,32841187,33276146,33341181,33626310,33755947,33855904,33928178,34103996,34335910,34592731,34690212,34905057,35026088,35177478,35282396,35548178,35868064,35870396,35965638,35981107,36049461,36192146,36222812,36493736,36692252,36785131,37120758,37151150,37213027,37388285,37566789,37697731,37878307,37951178,38087892,38177827,38220425,38297131,38448092,38690888,38733153,38988905,39144966,39381596,39404349,39984721,40351572,40622731,40735987,40966030,41055453,41074027,41126396,41203092,41260946,41465131,41728586,41742331,41835965,41877950,41938172,41954577,42039626,42127387,42130985,42291331,42568485,42916025,42994267,43208107,43264977,43527249,43632331,44018396,44035409,44200778,44311867,44364092,44581380,44619757,44775187,44865942,44939612,44968966,45182131,45355965,45406384,45534427,45560049,45584467,45743996,45820565,45833587,45864510,46521547,46601150,46661372,46748085,46786686,46908331,47389586,47462396,47479867,47553472,47989778,48087331,48151976,48179707,48278165,48379696,48596613,48736778,48831932,48922144,49051300,49087627,49113357,49114205,49159236,49529085,49530787,49598888,49628426,49662331,49719305,49864624,49909013,49945925,50096131,50203158,50219978,50253540,50301317,50437987,50557182,50607187,50807653,50858827,51082182,51272467,51476587,51499230,51505925,51764936,51828721,52272266,52431307,52800092,52816867,52831024,52978805,53091681,53120131,53497656,53603776,53676331,53858131,53864978,53930347,54170973,54263996,54357477,54392731,54420665,54427158,54462787,54842947,54932512,54984678,55037412,55155146,55297778,55363496,55501853,55674547,55798749,55803427,55899331,55921380,56057731,56097702,56170172,56359085,56430547,56462685,56733307,56798888,56911507,57121030,57173947,57191057,57621596,57759965,57763627,57933798,58033267,58178396,58235553,58398667,58424227,58522900,58651027,58677746,58816778,58861560,58920307,58937046,58937361,58947656,58968331,58980005,59134147,59250427,59289596,59319331,59434902,59588467,59647946,59649472,59663166,59935110,60176252,60184863,60226864,60304248,60333667,60372331,60558485,60561331,60618812,60743131,60866107,61021706,61281692,61322731,61552685,61703186,61722907,61788427,61799076,61804616,61807110,61814131,61877131,61914067,62077867,62111131,62273852,62283933,62287387,62297107,62390347,62584747,62743147,62759131,62785664,62820907,62840337,62867131,62917027,62937331,62948131,63148209,63263733,63574566,63742510,63898749,63930784,64241380,64393106,64467557,64578812,64747365,64789557,64797596,64853637,65304798,65457950,65631453,65889596,65911857,65927584,66110666,66216572,66219255,66235078,66316113,66619126,67105656,67241765,67630902,67674506,67738652,67755222,67842279,68028917,68062226,68533685,68545236,68906696,69004977,69063856,69311958,69331857,69345266,69361773,69362492,69530193,69981386,70163150,70163525,70227480,70533605,70633872,70739978,70776006,70776893,70865906,70998801,71034485,71242826,71298590,71493386,71551606,71738513,71846637,71922132,72052892,72374396,72436136,72489866,72670182,73140296,73231178,73812221,73844978,73863222,74041030,74168532,74229181,74333426,74809925,74909312,74940746,75159861,75493863,75510358,75785852,75891932,76103996,76491012,76845212,77089656,77102837,77130425,77162396,77520033,77696838,77708921,77923346,78116165,78391761,78509066,78549540,78954332,79005915,79171805,79323026,79463106,79507685,80359178,80473586,80690118,81200085,81490653,81609746,81701510,82060178,82223009,82240422,82264497,82282833,82406396,82537925,82718492,83176178,83286986,83482126,83756732,83786176,84195780,84196230,84198597,84257150,84272976,84640326,84750905,85022888,85062965,85241382,85288965,85364978,85558308,85795826,85982182,86613424,86725863,87076221,87365372,87493101,87633637,88352621,88389212,88540178,88849236,89218085,89476025,89480229,89771910,89808832,89809312,89817212,90180626,90427292,90634677,90918958,90974896,91177385,91187186,91585778,91644773,91773400,91934888,91947452,92080778,92096510,92351612,92556510,92652989,93032261,93323525,93447626,93739398,94024778,94163996,94259448,94398598,94621540,94665596,94791885,94807098,94960565,94975178,95006166,95170180,95351306,95409222,95650749,95756704,95818349,95992161,96221765,96768406,97360412,97423016,97440102,97497285,97649906,97773981,97817885,97869121,97871465,97933925,98041812,98244177,98456885,98726944,99045510,99073778,99593837,99744909,...,4161548389798276470324593788697432122837642018462329879425931688912988630782509490789319960354688931053193755892655003994754800649586169115757488442391219412668065794510514602272327172236383608869181948667974499750572495386373843019069269459248084381565457697706526839814576304931021367955545366325567480323580282285290815055399758928491909145202682344020561138683878400740652819091886384246996001314775429035521069376102407658012402913629796751823657485127650996691116252089461728452018552830115872489291050912497586414678489791251751831940004713723997299426532251914742354205887628438727695235159572652253908752616191625749644358024003443070801066043304955272666875643361435430186454490682030106231029973846109355885520988806935951524373507733513654184720199006592487998508736338071618062004071518298883041085228902968626087898690672490468939474519121554822797017804392479808964914302497259941877186553190045904661022256148316386554044998540334806367169227529350767516429603389810116326574478250476443088647485460970406253000486127920631249919407962327700197083350236640621299948171148605148491227310188945607332967191270882671260521165638878539346738714222949791390649591161091966236138548144086099483125013500624867273444496273855077084852898042993628720264832142683548750906733074232610854057528965402143926311616057594554808742930327140462303781258847305951212937901802337775975203701118490063685784502394206572230463815902658737811026094897196867658132052558477373345094679443501247521719544634386840346380934445693268441503419998706982429001910147425026608739327069911391750613230123276058990374336337760025198220556793864128420131342343081123315508226858433528414968073800784632040841249548626421799488762391961881403795362193390588375981676573062939374284291317415205706030351921776848054120830581117128546595244032794929650370091766301399246223883303192496947542999540989840256523715855416921554854523042148730835779793914541358941889842764431121394312056501817546918513796617199720457563803418957085219379143695920099530233687284772622754690492625394951424349413384368154050928935610617424495349402243460947811967991424948361080442440596071697791553441887607679159176584274372466823345499432337174182487217347279118640670480360098423048747324421952602228295055171028668136123331141255780933581995822396645115730152789853983156163533528066953396632385663148792720711109306493075624895400917392792543547583651562929402401472534844672129520173792078145870523658514897951787402707686223787084716149781419891414976644}
15869 12574092778859084540127069950466159802735803424968295336138979840: {333039,396475,475770,507488,570924,2041167,3243715,3716995,3741519,3892458,4460394,4819915,5291995,5763715,5783898,5865139,5996559,6350394,6526639,6558159,6916458,7133467,7646995,7800739,7848127,8116915,8196314,8370367,8378770,9176394,9323770,9353199,9521834,9659299,9740298,9826579,9992995,10054524,10305115,10465167,10549939,10599787,10772995,10888267,11143027,11188524,11211610,11556379,11637967,11709020,11991594,12116299,12315211,12329647,12366138,12457459,12753338,12927594,13229967,13453459,13453932,13602620,14037970,14050824,14112079,14193115,14212291,14329839,14425327,15122515,15215954,15431995,15629167,15807177,15907579,15918610,16134314,16323144,16346506,16375267,16816987,16845564,16956619,17019067,17031738,17336667,17439715,17701711,17796370,18147018,18157916,18242419,18363537,18426298,18518394,18632426,18883051,19102332,19650799,19698859,20054995,20077987,20317359,20504506,20515315,20607610,20927658,20952127,21183139,21355644,21422959,21582572,21894115,21906859,21976207,22037746,22047115,22662607,23007487,23049020,23861084,23954947,24065994,24264619,24337315,24618378,24729132,24864559,25138479,25253194,25490899,25750076,25939880,26162995,26272938,26456538,26465259,26482867,26537947,26590738,26651851,26981276,27376915,27500954,27576499,27658604,27658824,27786639,27973274,28072570,28436995,28466194,28648639,28801498,29182365,29204778,29623916,29804458,29931610,30222331,30234619,30646939,30647827,30674667,30701995,30871786,30871951,31116177,31127856,31384556,31395594,31676746,31932019,32507515,32852298,32916367,33018159,33342236,33378739,33687084,33787339,33854527,33937387,34124394,34153114,34432459,34703167,34860668,35018838,35136019,35271067,35348924,35653315,35917932,35946667,36108451,36316687,36415570,36594266,36842394,37073146,37442995,37565266,37740715,38418267,38498458,38544680,38632915,38733679,39009018,39369451,39433267,39452659,39689967,39730586,39961820,40000879,40380296,40890067,41062351,41208879,41404147,41609288,41965419,42132979,42319880,42332234,42629995,42783978,42806876,43046266,43090927,43295467,43362765,43399027,43451491,43631546,43698684,43782610,44102995,44104027,44454908,44473179,44494474,44835080,44837995,44931594,45186787,45278515,45288858,45294319,45427833,45617170,45865315,46099531,46111939,46121179,46215759,46227146,46253616,46359498,46540076,46810449,46903304,47006419,47453979,47475307,47609865,47692786,47954184,48060115,48065948,48194319,48219667,48363610,48365179,48443059,48819499,49226995,49272547,49494344,49699027,49725691,49762159,49914219,50089052,50234234,50439465,50783856,50851267,50892267,51011011,51155994,51407995,51503865,51514618,51537379,51579199,51644204,51930554,52035318,52179727,52193288,52422715,52515727,52539132,52698506,52766217,52923594,53297071,53322267,53802096,53805594,53948457,54034819,54079039,54082066,54191467,54288219,54334218,54740604,54937456,55022995,55038378,55455115,55681137,55726725,55924699,55939436,56104267,56174515,56533807,56680651,56757980,56926767,57131838,57179995,57431611,57672138,57686636,58036332,58326715,58717449,58786747,58795567,59072394,59205487,59249539,59327995,59441840,59689498,59821256,60175498,60189970,60223039,60225499,60293359,60430874,60461554,60474620,60527358,60746732,61039915,61152680,61314125,61397839,61449045,61689594,61804638,61866859,61891419,61998610,62330780,62382248,62562187,62592879,62816925,62907258,63059439,63381619,63997759,64501039,64706170,64795484,64928506,65125507,65190938,65484476,65545648,65811139,65890819,65930671,66000115,66027594,66038780,66301167,66546138,66569467,66872070,66937544,67004720,67298913,67409418,67409576,67453449,67518187,67779259,67829995,68109576,68156947,68549458,68615994,68665640,68796765,69204370,69209467,69685114,69901725,69992058,70180029,70212715,70788908,70905619,70998610,71084379,71158351,71193594,71261059,71330208,71404699,71616319,71781667,71984667,72026995,72227964,72324499,72476636,72569544,72722995,73105167,73139407,73153625,73247898,73312904,73322191,73383216,73576950,73684570,73738854,74111995,74184259,74395027,74398332,74442639,74561840,74796936,74832367,74902459,75220315,75283580,75304737,75329967,75380310,75773515,75786746,75835773,76280746,76602115,76623273,77015119,77040067,77245064,77248845,77255770,77420827,77457514,77499379,77647404,77842315,78051226,78216619,78408399,78482080,78551194,78582728,78583148,78586898,78601339,79063567,79200138,79246536,79279807,79550888,79603034,79634491,79913480,80246484,80301725,80405664,80443027,80723515,80797467,80996995,81128767,81296251,81296338,81395994,81546799,81640737,81769738,82165267,82361995,82398768,82409480,82477017,82556118,82732719,82770715,82946667,83045244,83122891,83787116,83882070,84146553,84197612,84255258,84305551,84351644,84673315,84766088,85198332,85245139,85681545,85791679,85817498,85939051,86133370,86329820,86386076,86432394,86460379,86471516,86679811,86703115,86900697,87073064,87267594,87410506,87508604,87576259,87784350,87882476,88016619,88225167,88292340,88405569,88421484,88472426,88545298,88763467,88934394,89048074,89152353,89368459,89471919,89474208,89494749,89902665,90066115,90174536,90264211,90264378,90340296,90456372,90467995,90545170,90928218,90997466,91393648,91425370,91532559,91922538,92006636,92187346,92415944,92442476,92482364,92554779,92645887,92698614,92706924,92710665,93410778,93518474,93636640,94178496,94261567,94368008,94553779,94654346,94665068,94732315,94864915,95129995,95342527,95361849,95373706,95519587,95613765,95633851,95693851,95752579,95783011,95795516,95896176,96017647,96056515,96362070,96452995,96589659,96868218,96893576,97196394,97626586,97957197,98186925,98484296,98604847,98692915,98834394,98891376,99165999,99190099,99324858,99352617,99692539,99928689,...,6242322584697414705486890683046148184256463027693494819138897533369482946173764236183979940532033396579790633838982505992132200974379253673636232663586829119002098691765771903408490758354575413303772923001961749625858743079560764528603904188872126572348186546559790259721864457396532051933318049488351220485370423427936222583099638392737863717804023516030841708025817601110979228637829576370494001972163143553281604064153611487018604370444695127735486227691476495036674378134192592678027829245173808733936576368746379622017734686877627747910007070585995949139798377872113531308831442658091542852739358978380863128924287438624466537036005164606201599064957432909000313465042153145279681736023045159346544960769164033828281483210403927286560261600270481277080298509888731997763104507107427093006107277448324561627843354452939131848036008735703409211778682332234195526706588719713447371453745889912815779829785068856991533384222474579831067497810502209550753841294026151274644405084715174489861717375714664632971228191455609379500729191880946874879111943491550295625025354960931949922256722907722736840965283418410999450786906324006890781748458317809020108071334424687085974386741637949354207822216129149224687520250937300910166744410782615627279347064490443080397248214025323126360099611348916281086293448103215889467424086391832213114395490710693455671888270958926819406852703506663962805551677735095528676753591309858345695723853988106716539142345795301487198078837716060017642019165251871282579316951580260519571401668539902662255129998060473643502865221137539913108990604867087625919845184914088485561504506640037797330835190796192630197013514621684973262340287650292622452110701176948061261874322939632699233143587942822105693043290085882563972514859594409061426436976122808559045527882665272081181245871675692819892866049192394475555137649452098869335824954788745421314499311484760384785573783125382332281784563223096253669690871812038412834764146646682091468084752726320377770694925799580686345705128435627829068715543880149295350530927158934132035738938092427136524120076552231076393403415926136743024103365191421717951987137422541620663660894107546687330162831411518738764876411558700235018249148505761273730826020918677961005720540147634573120986632928903342442582756543002204184996711883671400372993733594967673595229184780974734245300292100430094948578494723189081066663959739613437343101376089188815321375477344394103602208802267008194280260688117218805785487772346927681104061529335680627074224672129837122464966}
15870 12629336456386213474697005594744108505199488815080454045349846475: {174449,444052,634360,713655,743681,761232,838301,856386,964349,1058801,1153181,1247489,1310321,1529981,1624001,1717949,1865462,2061809,2155421,2186609,2243174,2721556,2994689,3118529,3184934,3372854,3489281,3550961,3581789,3766589,3920369,4104641,4123094,4196669,4310294,4838849,4988692,5189944,5568449,5780381,5838687,5947192,6142781,6174374,6323549,6473969,6654209,6690591,6834161,7043741,7101014,7372289,7470662,7491521,7711864,7818749,7995412,7996829,8292989,8467192,8529341,8617841,8675847,8735729,8744212,9059261,9147329,9176669,9221944,9264641,9525591,9790961,9859334,9936701,10285661,10372721,10374687,10749149,11095421,11181809,11612669,11870321,12013181,12184349,12235192,12294471,12404534,12470932,12568155,12611009,12809501,12866141,12987064,13289921,13406032,13739969,13764591,13953556,13985655,14048189,14132081,14282751,14384534,14610447,14633921,14636275,14745089,14918032,15081786,15100214,15133169,15409409,15547229,15635462,15988792,16069121,16123889,16288001,16479101,16488184,16560881,16642589,16782786,16817415,16968701,17003275,17212529,17236792,17410262,17428721,17563530,17617469,17639956,17778941,17832701,17938576,17987391,18020609,18101021,18261629,18292262,18549207,18635261,18661889,18734432,19033841,19106452,19130007,19192769,19219229,19298561,19391391,19521014,19825601,20009309,20180898,20375549,20403930,20558081,20688221,20766209,20870081,20921969,21025649,21056955,21076236,21310109,21335921,21764192,21784262,21850481,22106561,22183229,22412801,22460752,22697395,22708984,22823931,22992854,23072369,23097629,23115556,23173361,23626241,23877915,24001661,24051581,24196024,24201471,24350429,24484716,24519759,24691192,25117121,25166321,25190909,25268346,25469776,25547607,26070749,26192129,26216381,26627441,26694555,26978215,27089812,27132029,27220527,27236874,27251654,27585521,27639447,27656861,27704381,27756662,27777591,27870449,27903544,27948639,28083389,28201409,28474192,28483841,28653498,28694909,28788509,28811275,28929974,29045249,29068541,29097014,29393789,29625149,29826355,29832689,30314429,30497021,30565361,30656369,30756759,30905981,30911415,31132061,31391487,31581821,31738481,31850141,32006129,32033466,32087992,32139521,32187595,32250461,32373858,32407574,32424850,32735462,32824504,32972176,32977649,33056619,33130781,33457601,33517972,33726595,33761009,33847409,33878534,33890561,34041341,34277489,34573255,34573530,34725629,35030584,35275384,35287012,35332759,35380721,35422721,35485661,35548529,35632241,35674049,35757569,35791626,35982662,36069629,36098991,36256001,36359261,36408127,36878432,36927567,36933821,36974621,37029895,37048852,37093698,37218749,37265414,37481921,37582781,37643201,37783901,37879791,38062454,38143901,38243441,38322929,38380262,38625114,38909820,38939704,39012989,39091229,39208349,39230695,39383489,39409407,39480509,39684807,39886107,40230401,40363709,40471914,40704701,40817789,40899556,41024369,41040391,41080541,41099249,41251431,41487906,41488236,41490269,41503808,41677795,41693681,41748989,41767409,41860792,41877761,41959911,42024449,42108855,42152381,42316289,42515741,42614294,42696221,42699291,42840029,42911741,42947549,43019069,43078262,43202247,43215089,43307551,43533761,43575835,43656989,43709681,43803064,43807167,44006909,44024212,44111261,44186155,44232641,44319101,44435874,44439809,44542961,44680049,44706687,44799581,44897415,44916112,45105149,45256961,45499192,45541949,45608669,45669127,45841181,46039229,46137821,46138262,46307679,46383041,46594109,46691784,46771649,46819901,46916189,46932209,47028161,47060081,47076834,47093391,47219201,47503601,47515119,47535041,47863229,47890576,47925341,48070274,48180850,48187889,48203261,48395462,48463361,48554609,48660701,49123192,49278447,49407101,49553981,49627121,49952275,50013354,50276381,50325494,50475370,50530626,50630081,50798081,50914454,51186591,51224356,51229671,51281501,51295169,51499229,51728321,51781889,51821981,52011610,52012024,52041847,52218941,52291002,52323581,52343599,52376774,52528257,52634429,52826369,52899850,52919956,53023386,53029121,53054321,53102534,53129729,53142269,53217341,53508595,53612861,53876898,53940209,53952221,54155201,54273521,54367601,54402749,54414449,54484481,54577409,54584467,54623355,54818909,54891399,54921329,54945172,55191281,55263591,55368689,55568635,55609719,55652609,55877981,55920509,55953892,56036801,56043850,56111414,56219119,56347899,56394662,56502461,56573441,56603741,56623901,56724221,56744189,56754161,56892929,56932289,57039869,57045304,57100262,57165761,57309341,57352442,57366269,57422909,57521894,57618881,57729281,57747687,57784049,57817020,57919709,57937661,57973469,58018049,58082054,58133021,58175095,58264912,58315889,58367489,58410269,58513527,58570351,58629130,58662749,58810781,58835201,58980209,58983379,59169521,59262449,59297572,59329567,59361821,59422301,59447011,59474801,59519489,59556509,59595879,59600669,59673629,59709809,59781569,59859581,59908792,59942730,60026429,60082435,60114881,60148541,60188669,60365681,60385144,60410621,60480449,60524381,60543089,60570444,60598781,60756029,60761969,60826781,60964829,60987389,61037681,61048769,61120061,61341149,61411709,61461149,61485569,61519421,61529021,61585949,61621012,61627889,61671488,61682801,61736561,61740989,61767389,61802141,61812664,61815041,61827869,61832129,61867930,61890929,61907441,61988081,62046461,62057921,62161409,62281949,62314589,62349569,62389661,62413661,62413932,62434241,62465789,62485361,62490881,62557181,62569841,62599409,62601821,62611315,62620829,62643869,62729969,62758109,62781041,62789501,62808989,62822849,62833181,62836061,62840321,62856641,62876609,62882429,62904689,62908529,62910401,62919281,62931101,62933249,62942909,62950301,62957501,62960861,62963441,62963969,62964221,63271972,63479820,63498351,63938912,64148791,64175967,64210314,64225094,64259092,64555255,64569399,64624262,64889654,65022134,65241610,65447319,65548026,65593099,65673915,65682374,66552292,66682362,66741711,67252620,67397391,67511894,67589431,67711808,67856356,67933287,68207992,68425755,68671820,68759887,69185462,69340719,69380424,69539247,69607027,69810114,69924295,70052176,70354956,70564792,70947475,71096356,71539179,71736128,71740792,71931276,71962214,72098922,72108295,72384292,72445624,72545415,72987472,73384504,73570262,74170327,74241516,74302300,74426054,74776570,75133578,75351351,75395462,75593275,75756614,75902356,75933415,76032319,76175784,76188931,76355654,76440850,76594262,76733991,76896184,77271927,77381776,77466306,77895831,77913475,77977810,78052977,78289932,78763192,78808698,78902719,79047759,79385391,79969442,80397811,80703144,80708391,80863951,80994355,81123099,81245462,81471974,81501327,81855595,81932060,82110906,82148054,82252792,82406184,82521892,82548475,82557567,82572007,82930262,83457172,83484662,83645419,83671930,83755900,83876344,83909154,84079252,84254774,84261970,84582662,84781879,85136970,85697757,85832050,85988534,86173759,86416214,86508207,86529954,86851147,87054498,87264662,88036792,88070818,88401556,88486135,88608591,88623734,88728184,89162760,89239514,89534247,89550374,89731884,89879224,89937932,90263247,90284955,90364262,90595795,90646311,90692331,90711930,90791037,90812768,91068854,91120098,91168934,91487992,91641130,91667174,91729020,92534391,92706957,92997915,93043094,93202300,93322744,93496170,93573372,93816662,94104475,94138471,94360887,94779172,94924792,94959734,95106944,95947159,95979556,96174662,96303952,96359414,96556330,96759392,97059255,97172647,97193226,97392759,97473556,97663864,97786407,97844288,98102600,98175254,98226714,98228410,98228935,98318472,98747047,99041391,99058170,99061574,99197776,99256852,99324662,99438610,99448279,99729248,99818026,99819207,99891850,...,9363483877046122058230336024569222276384694541540242228708346300054224419260646354275969910798050094869685950758473758988198301461568880510454348995380243678503148037648657855112736137531863119955659384502942624438788114619341146792905856283308189858522279819839685389582796686094798077899977074232526830728055635141904333874649457589106795576706035274046262562038726401666468842956744364555741002958244715329922406096230417230527906555667042691603229341537214742555011567201288889017041743867760713100904864553119569433026602030316441621865010605878993923709697566808170296963247163987137314279109038467571294693386431157936699805554007746909302398597436149363500470197563229717919522604034567739019817441153746050742422224815605890929840392400405721915620447764833097996644656760661140639509160916172486842441765031679408697772054013103555113817668023498351293290059883079570171057180618834869223669744677603285487300076333711869746601246715753314326130761941039226911966607627072761734792576063571996949456842287183414069251093787821420312318667915237325443437538032441397924883385084361584105261447925127616499176180359486010336172622687476713530162107001637030628961580112456924031311733324193723837031280376405951365250116616173923440919020596735664620595872321037984689540149417023374421629440172154823834201136129587748319671593236066040183507832406438390229110279055259995944208327516602643293015130386964787518543585780982160074808713518692952230797118256574090026463028747877806923868975427370390779357102502809853993382694997090710465254297831706309869663485907300631438879767777371132728342256759960056695996252786194288945295520271932527459893510431475438933678166051765422091892811484409449048849715381914233158539564935128823845958772289391613592139655464184212838568291823997908121771868807513539229839299073788591713332706474178148304003737432183118131971748967227140577178360674688073498422676844834644380504536307718057619252146219970023137202127129089480566656042388699371029518557692653441743603073315820223943025796390738401198053608407138640704786180114828346614590105123889205114536155047787132576927980706133812430995491341161320030995244247117278108147314617338050352527373722758641910596239031378016941508580810221451859681479949393355013663874134814503306277495067825507100559490600392451510392843777171462101367950438150645142422867742084783621599995939609420156014652064133783222982063216016591155403313203400512291420391032175828208678231658520391521656092294003520940611337008194755683697449}
15871 12684820944807723544631502829184562866758258152768196330621436172: {555065,666078,792950,951540,1014976,1141848,1284579,2798193,3364761,3401945,4082334,4541201,4777401,5059281,5203793,6184641,6235865,6439961,6465441,6487430,6747881,7408793,7433990,7481441,7483038,7784916,8069201,8338721,8430461,8718473,8920788,9261561,9639830,9948893,9994265,10583990,10651521,10705793,10930265,11205993,11277521,11363681,11527430,11567796,11730278,11993118,12527021,12676961,12700788,12915953,13053278,13116318,13753961,13832916,13990193,14266934,14427161,14571401,14789001,15082193,15192449,15293990,15588665,15601478,15696254,16233830,16392628,16740734,16757540,17441945,17981393,18126041,18301769,18352788,18606801,18647540,18706398,19043668,19318598,19480596,19653158,19870361,19874621,19985990,20109048,20610230,20930334,21057401,21099878,21171521,21199574,21545990,21576801,21604793,21626093,21776534,21979001,22049945,22149161,22286054,22316333,22377048,22423220,22622679,22650321,23112758,23275934,23418040,23453193,23675273,23883065,23983188,24232598,24415601,24630422,24659294,24732276,24914918,25123481,25174179,25506676,25855188,25938041,25971881,26115393,26345295,26459934,26783081,26906918,26907864,27205240,27438393,27453593,27832481,28075940,28076993,28101648,28224158,28386230,28424582,28659678,28721441,28850654,28894445,29281521,30245030,30271347,30431908,30605895,30651761,30820793,30863990,30865961,31216889,31258334,31614354,31815158,31837220,32268628,32646288,32676393,32693012,32750534,32760521,33261041,33633974,33691128,33791633,33862265,33913238,33954593,34038134,34063476,34072241,34281929,34489281,34673334,34879430,35403422,35592740,35599661,35680721,36294036,36315832,36321329,36484838,36485033,36628193,36727074,36852596,37036788,37264852,37766102,37902519,38204664,38327681,38598689,38901161,39086393,39301598,39397718,39457673,39811793,40107821,40109990,40155974,40634718,40855311,40877481,41009012,41030630,41215220,41356841,41405969,41634993,41855316,41897465,41904254,42366278,42570461,42711288,42845918,42919721,42980247,42982793,43165144,43394961,43645521,43788230,43813718,43952414,44075492,44094230,44108765,45325214,45407441,45510521,46014974,46098040,46311065,46527533,47012393,47481401,47722168,47909894,48050199,48131988,48528233,48529238,48560787,48611361,48637275,48674630,49103193,49236756,49278809,49458264,49729118,49732013,49914641,50248241,50276958,50506388,50817801,50925641,50981798,51124445,51383741,51500152,51536873,51860295,51879760,52122941,52186361,52325990,52420193,52545876,52837001,52913076,52930518,52965734,53075894,53155049,53181476,53303702,53499353,53687439,53892569,53962552,53973993,54086081,54753830,55001908,55030265,55091681,55152998,55317208,55317648,55573278,55640547,55898121,55946548,56107181,56111441,56145140,56480093,56833769,56873990,56932388,57093681,57297278,57570393,57602996,57937671,58364730,58409556,58602029,58794221,59247832,59546729,59608916,59681993,59863220,59950841,60233153,60444662,60469238,60707871,61293878,61295654,61349334,61403990,61743572,61743902,61744193,62064041,62231859,62232354,62255712,62263193,62545241,62570141,62704769,62769112,62773193,62791188,63353492,63389921,63864038,63921441,64030445,64044461,64211441,64617393,65015030,65221721,65614001,65704596,65832734,65899193,66036318,66149945,66220073,66415121,66653811,66684472,66757478,66812681,67284161,67374168,67574678,67709054,67787873,67874774,68165609,68248788,68302361,68306228,68681465,68864918,68917793,69145313,69207393,69406334,69514049,69721336,69942365,69970121,70037676,70076861,70272038,70542134,70615251,70643393,70697848,71306630,71498009,71625473,71699393,71790881,71835864,71893334,71971193,72105411,72216902,72271275,72593193,72633374,72831140,73188532,73331513,73391801,73478801,73684788,74114633,74121965,74146292,74401169,74841881,74885990,75020031,75130532,75481430,75488241,75713055,75795939,75807689,76329161,76371681,76836534,76940321,76996916,77026265,77032193,77089360,77265830,77467358,77637161,78017415,78018036,78436503,78565161,78644321,78738902,78866534,78905318,79089965,79349775,79379934,79461172,79535079,79625801,79644713,79653801,79794221,79923640,80001758,80051993,80226569,80323865,80760592,80815347,81513041,81657401,81780134,82124702,82204589,82265273,82353161,82417758,82693661,82808294,83059193,83190365,83218576,83714513,83930838,84022121,84065775,84096233,84167121,84265958,84316529,84591993,84639760,84664468,84820445,85259990,85455881,85567956,85613752,85650393,85839775,86028663,86092532,86181854,86282841,86437481,86509601,86590934,86616953,86725530,86798054,86902889,86902982,87123081,87263092,87397368,87565220,87587453,87620921,87943695,88205990,88208054,88870445,88909816,88946358,88988948,89670160,89675990,89863188,89914095,90275753,90373574,90480365,90557030,90577716,90588638,90855666,91163369,91234340,91497341,91730630,91831769,92138321,92199062,92223878,92242358,92400161,92431518,92454292,92507232,92657729,92718996,92801895,92877875,93080152,93438761,93616001,93620898,93806608,94012838,94511801,94877945,94907958,94950614,94961993,95219730,95385572,95531801,95908368,96030209,96120230,96131896,96315471,96337641,96388638,96439334,96489329,96727220,96730358,96806393,96886118,96936393,97068689,97334481,97533201,97638998,97862415,98297801,98322039,98453990,98523561,98545094,98988688,99398054,99451382,99524318,99633833,99828438,...,12484645169394829410973781366092296368512926055386989638277795066738965892347528472367959881064066793159581267677965011984264401948758507347272465327173658238004197383531543806816981516709150826607545846003923499251717486159121529057207808377744253144696373093119580519443728914793064103866636098976702440970740846855872445166199276785475727435608047032061683416051635202221958457275659152740988003944326287106563208128307222974037208740889390255470972455382952990073348756268385185356055658490347617467873152737492759244035469373755255495820014141171991898279596755744227062617662885316183085705478717956761726257848574877248933074072010329212403198129914865818000626930084306290559363472046090318693089921538328067656562966420807854573120523200540962554160597019777463995526209014214854186012214554896649123255686708905878263696072017471406818423557364664468391053413177439426894742907491779825631559659570137713983066768444949159662134995621004419101507682588052302549288810169430348979723434751429329265942456382911218759001458383761893749758223886983100591250050709921863899844513445815445473681930566836821998901573812648013781563496916635618040216142668849374171948773483275898708415644432258298449375040501874601820333488821565231254558694128980886160794496428050646252720199222697832562172586896206431778934848172783664426228790981421386911343776541917853638813705407013327925611103355470191057353507182619716691391447707976213433078284691590602974396157675432120035284038330503742565158633903160521039142803337079805324510259996120947287005730442275079826217981209734175251839690369828176971123009013280075594661670381592385260394027029243369946524680575300585244904221402353896122523748645879265398466287175885644211386086580171765127945029719188818122852873952245617118091055765330544162362491743351385639785732098384788951110275298904197738671649909577490842628998622969520769571147566250764664563569126446192507339381743624076825669528293293364182936169505452640755541389851599161372691410256871255658137431087760298590701061854317868264071477876184854273048240153104462152786806831852273486048206730382843435903974274845083241327321788215093374660325662823037477529752823117400470036498297011522547461652041837355922011441080295269146241973265857806684885165513086004408369993423767342800745987467189935347190458369561949468490600584200860189897156989446378162133327919479226874686202752178377630642750954688788207204417604534016388560521376234437611570975544693855362208123058671361254148449344259674244929932}
15872 12740547285610012964145086332829651312100864728963969572668213013: {206167,348898,888104,999117,1189425,1268720,1427310,1487362,1522464,1676602,1712772,1928698,2117602,2186887,2306362,2494978,2620642,3026047,3059962,3248002,3304471,3435898,3489727,3582247,3730924,4123618,4227871,4310842,4373218,4486348,4869967,5144071,5443112,5871847,5989378,6123501,6237058,6369868,6504871,6685087,6745708,6978562,7101922,7163578,7533178,7671127,7840738,8027527,8209282,8246188,8294071,8393338,8620588,9177871,9353767,9617071,9677698,9731145,9977384,10228927,10379888,11096887,11136898,11150985,11224557,11355871,11560762,11677374,11894384,12214471,12285562,12348748,12647098,12896167,12947938,13308418,13381182,13668322,14087482,14202028,14459745,14744578,14941324,14983042,15162871,15423728,15576871,15637498,15875985,15990824,15993658,16153447,16585978,16934384,17058682,17235682,17291145,17351694,17471458,17488424,17595417,17989677,18118522,18294658,18353338,18443888,18529282,18664447,19051182,19221871,19579917,19581922,19674477,19718668,19873402,20490785,20560927,20571322,20745442,20749374,20946925,20950807,21183871,21338887,21400401,21498298,21956071,22186327,22190842,22363618,22568647,22940985,23100871,23225338,23309425,23402217,23544381,23740642,23804585,24026362,24079927,24350745,24368698,24378727,24470384,24588942,24809068,24941864,25111101,25136310,25194487,25222018,25341871,25619002,25732282,25974128,26074471,26220127,26579842,26812064,27159871,27479938,27529182,27660847,27732127,27907112,27971310,28029025,28059597,28096378,28264162,28565502,28722487,28769068,28977897,29072767,29220894,29267842,29272550,29421247,29479737,29490178,29629471,29836064,29837047,29978985,30112807,30163572,30200428,30266338,30524287,30818818,30915345,31001071,31094458,31270924,31395501,31649817,31776353,31799361,31883345,31977584,32138242,32247778,32318985,32576002,32664801,32958202,32976368,33121762,33135727,33285178,33429081,33565572,33634830,33937402,34006550,34425058,34473584,34669137,34820524,34857442,34913901,35094925,35127060,35234938,35279912,35449087,35557882,35665402,35700367,35877152,35974782,36041218,36202042,36348897,36523258,36584524,36945633,36988941,37098414,37270522,37323778,37372377,37468864,37769501,38039885,38067682,38149807,38212904,38260014,38385538,38438458,38597122,38782782,38803207,39042028,39097327,39651202,39680167,39689901,39796525,40018618,40255807,40335785,40360377,40361796,40751098,40807860,40866265,41049607,41105767,41116162,41217871,41376442,41532418,41663407,41740162,41756897,41774071,41843938,42049471,42051298,42113910,42152472,42336237,42579345,42620218,42636873,42671842,42972367,42989517,43275981,43293127,43528384,43558447,43568524,43700962,43926871,44031487,44213122,44366458,44447071,44490925,44825602,44921504,45062633,45112567,45367545,45394790,45417968,45647862,45985708,46063327,46065745,46144738,46195258,46231112,46295985,46346722,46581065,46843807,46887501,46940071,47217233,47252482,47421531,47722737,47755830,47886871,48003322,48103162,48211447,48392048,48402557,48402942,48486847,48669007,48700858,48969432,49039518,49125801,49382384,50234242,50332642,50381818,50450961,50536692,50869857,50939552,51057201,51095214,51261265,51304207,51519025,51589471,51841853,51990871,52010001,52141498,52319145,52384258,52432762,52656727,52886767,53076487,53105133,53151871,53226967,53254882,53389110,53956430,53962087,54177007,54179624,54264058,54424471,54441054,54473748,54503308,54727257,54922973,54942871,55044607,55090611,55094365,55171042,55278894,55313722,55408762,55513324,55543567,55555182,55673887,55740898,55807088,55897278,56166778,56402818,56614567,56644807,56649153,56765047,56948384,56967682,57060607,57306996,57377407,57389818,57577018,57622550,57859948,58090498,58137082,58194028,58327447,58348913,58787578,58927927,58952397,59096577,59250298,59396647,59576071,59652710,59665378,59729287,59793871,60004471,60066247,60164985,60207871,60233961,60499471,60628858,60774871,60828007,60863071,60952077,60994042,61000447,61006169,61067407,61130722,61312738,61384927,61430071,61504001,61513518,61545945,61604167,61646071,61741327,61754647,61811962,61822830,61845871,61860617,62005927,62228407,62264122,62376367,62499847,62586967,62616487,62637871,62704471,62782974,62833133,62839471,62856381,62869207,62891887,62915071,62976847,63132985,63163642,63476962,63549417,63700282,64012258,64066932,64175984,64268877,64279042,64375190,64500922,64747716,64815148,64849700,65470924,65649008,65682345,65720577,65928621,65944352,65955298,66113238,66141345,66261562,66440777,66476845,66915202,67035944,67453190,67522018,67694818,67757068,67781122,67987821,68082682,68554978,68752385,69022461,69146510,69147060,69451258,69933185,70061168,70116761,70181425,70550768,70574024,70665518,70761442,70845442,70971322,71097058,71165485,71264482,71348098,71515138,71583252,71864841,71965324,72003745,72139258,72197982,72512002,72718522,72793857,72816254,73011945,73756864,73855134,73867642,73949242,74059790,74097704,74187396,74437498,74511145,74530828,74593677,74829025,74912033,74963842,75165562,75286402,75415437,75567802,75759582,76124908,76287802,76472697,76486882,76645858,76760524,77179465,77250228,77519117,77796089,77819640,77879408,78025978,78182458,78416698,78428449,78461390,78488985,78766978,78818814,78961018,79191865,79369614,79395777,79448601,79613841,79772214,79955553,80460802,80727418,80943828,81409402,81445133,81635578,81799112,82048738,82080782,82130745,82161082,82198498,82502862,82729497,82975812,82976472,82980538,83007616,83355590,83359917,83387362,83497978,83534818,83721584,83755522,83919822,84048898,84115409,84217710,84304762,84632578,85031482,85228588,85310985,85382785,85392442,85398582,85680058,85823482,85895098,85945917,86038138,86156524,86404494,86430178,86615102,87067522,87151670,87313978,87419362,87547095,87606128,87614334,87655841,88013818,88048424,88222522,88372310,88465282,88638202,88871748,88879618,89085922,89360098,89413374,89599162,89794830,89832224,89856377,89871661,90210298,90377357,90513922,90666993,90703857,90998384,91038925,91083898,91217338,91338254,91485665,91682362,91940817,91943481,92024001,92078458,92105985,92275642,92276524,92615358,92615853,92682865,92766082,93188218,93348531,93383568,93543298,93639802,93832378,93864418,93913165,94056322,94120162,94153668,94186782,94438402,95007202,95030238,95070082,95726458,95781152,95796057,95850682,96140548,96246145,96361700,96375778,96406522,96790924,96926722,97068929,97109218,97321402,97522545,97894013,98246384,98556894,98749101,98814202,98853677,99054477,99107962,99254242,99326465,99904550,...,18726967754092244116460672049138444552769389083080484457416692600108448838521292708551939821596100189739371901516947517976396602923137761020908697990760487357006296075297315710225472275063726239911318769005885248877576229238682293585811712566616379717044559639679370779165593372189596155799954148465053661456111270283808667749298915178213591153412070548092525124077452803332937685913488729111482005916489430659844812192460834461055813111334085383206458683074429485110023134402577778034083487735521426201809729106239138866053204060632883243730021211757987847419395133616340593926494327974274628558218076935142589386772862315873399611108015493818604797194872298727000940395126459435839045208069135478039634882307492101484844449631211781859680784800811443831240895529666195993289313521322281279018321832344973684883530063358817395544108026207110227635336046996702586580119766159140342114361237669738447339489355206570974600152667423739493202493431506628652261523882078453823933215254145523469585152127143993898913684574366828138502187575642840624637335830474650886875076064882795849766770168723168210522895850255232998352360718972020672345245374953427060324214003274061257923160224913848062623466648387447674062560752811902730500233232347846881838041193471329241191744642075969379080298834046748843258880344309647668402272259175496639343186472132080367015664812876780458220558110519991888416655033205286586030260773929575037087171561964320149617427037385904461594236513148180052926057495755613847737950854740781558714205005619707986765389994181420930508595663412619739326971814601262877759535554742265456684513519920113391992505572388577890591040543865054919787020862950877867356332103530844183785622968818898097699430763828466317079129870257647691917544578783227184279310928368425677136583647995816243543737615027078459678598147577183426665412948356296608007474864366236263943497934454281154356721349376146996845353689669288761009072615436115238504292439940046274404254258178961133312084777398742059037115385306883487206146631640447886051592781476802396107216814277281409572360229656693229180210247778410229072310095574265153855961412267624861990982682322640061990488494234556216294629234676100705054747445517283821192478062756033883017161620442903719362959898786710027327748269629006612554990135651014201118981200784903020785687554342924202735900876301290284845735484169567243199991879218840312029304128267566445964126432033182310806626406801024582840782064351656417356463317040783043312184588007041881222674016389511367394898}
15873 12796516524748491369848072066496483806013070771096015885937230026: {523347,777091,1110130,1332156,1585900,1903080,2029952,2140965,2231043,2283696,2514903,2569158,2893047,3176403,3459543,3742467,3930963,4589943,4663655,4762723,4872003,5153847,5596386,5607935,6185427,6466263,6559827,6729522,6803890,7610863,7962335,8164668,8432135,8730211,8841703,8984067,9082402,9216647,9319747,9355587,9554802,10118562,10256147,10307735,10407586,10467843,10652883,10745367,10775735,11119351,11299767,11761107,12313923,12332771,12369282,12471730,12590007,12631391,12879922,12930882,12974860,13495762,13991971,14238503,14516547,14817586,14867980,14907887,14962882,14966076,14981863,15302371,15435935,15441767,15569832,15844391,16138402,16677442,16705347,16860922,17083043,17341143,17436946,17510471,17516061,17752535,17841576,18428343,18523122,18676655,18789767,18970647,19256543,19279660,19421907,19576007,19897786,19962627,19988530,20071773,20096851,20502483,21131223,21167980,21303042,21411586,21428387,21531311,21824131,21860530,22116867,22255703,22411986,22474563,22555042,22668371,22727362,23054860,23135592,23456247,23460556,23855471,23986236,23990487,24270767,24418723,24648335,24878967,25054042,25353922,25401576,25588023,25831906,25853523,25975183,26027541,26106556,26207187,26232636,26544671,27177783,27441987,27507922,27530007,27665832,27793923,27980386,28533868,28576773,28647431,28854322,29142802,29190163,29372883,29578002,29810103,30099203,30164386,30384898,30587980,30856983,30869923,30879827,31011335,31118163,31124061,31177330,31202956,31392508,32247447,32262767,32467660,32476607,32785256,32924771,33286263,33436291,33481468,33515080,33545427,34838007,34883890,35610963,35961335,35962786,36039543,36252082,36553047,36584927,36603538,36705576,36883413,36892687,37213602,37295080,37412796,37704465,37750535,37833027,37936727,37949251,38087336,38154887,38428503,38598423,38637196,38961192,39088655,39290543,39306316,39308503,39740722,39749242,39869763,39971980,40057127,40218096,40452223,40515007,40900463,41219907,41220460,41293773,41860668,41956965,42114802,42144567,42199756,42343042,42396243,42399148,42848253,42925207,43091980,43153602,43209586,43252186,43525655,43553068,43721891,43831341,43901763,43908825,43958002,44099890,44235267,44289503,44298322,44572108,44632666,44754096,44846440,45245358,45300642,45399507,45730655,45880271,46123703,46225516,46228227,46551868,46641687,46836080,46906386,47350546,47407171,47766130,47966376,48160871,48207363,48371667,48465196,48802535,48831202,48831911,48864003,48934327,49260844,49284647,49318588,49437303,49464552,49682643,49829836,49927767,50178887,50246962,50254627,50348358,50452245,50906103,51009825,51013352,51550487,51637587,51710376,51876082,51943762,52230786,52286163,52690590,52852407,52919868,53161807,53199971,53336823,53498103,53566162,53593847,53813836,53815728,53962173,54061827,54303063,54410480,54460655,54784887,54876786,54907186,55647621,55664962,55905783,55985667,56114383,56151880,56153986,56203296,56448316,56487271,56772460,56849164,57101523,57319356,57390021,57428887,57442882,57482135,57578307,57657687,57701308,57788890,57895683,58174173,58563042,58656451,59263487,59476803,59958463,60027927,60238403,60312311,60490060,60542694,60863816,61126647,61211790,61303522,61641586,61674243,61727980,61731922,61752271,62064663,62298627,62433778,62516668,62610243,62712787,62765907,63076947,63170865,63228708,63426991,63630316,63674440,63930327,64007763,64517507,64537256,64835491,65142071,65292576,65352786,65386024,65501068,65521042,65551443,65622343,65827871,66208967,66319683,66522082,66549687,67238403,67267948,67382256,67583266,67724530,67826476,67909186,68076268,68092185,68126952,68129135,68144482,68198471,68471793,68563858,68978562,69217107,69227063,69292887,69346668,69391655,69520083,69654883,69758860,70085767,70373407,70652371,70806844,70878723,71176787,71185480,71199322,71361442,71574223,71633745,72004983,72154743,72324935,72588072,72604413,72631664,72642658,72742535,72969676,72970066,73051287,73256386,73454148,73559277,73705192,73917103,74073576,74203127,74529704,75351363,75498963,75532204,75572727,75805038,75817327,76124807,76409328,76642821,76655362,76950103,77034707,77042371,77197378,77802322,78098471,78172786,78212247,78576387,78603196,78621407,78649143,78795436,78915346,79225987,79299971,79623586,79882323,80083665,80215642,80219980,80236867,80311948,80934645,81018935,81053027,81062125,81269436,81396087,81661581,81710622,81754962,81838655,82018024,82061260,82152967,82430440,82713682,82756563,82811938,82918341,82970583,83113143,83243011,83269986,83332773,83611347,83710632,83794930,83808508,83809183,83845917,84250167,84497647,84604227,84696335,84732556,84981347,85140922,85422576,85451523,85691836,85839442,85960494,85965586,86084727,86330288,86365527,86433825,86789922,86838583,87135747,87205623,87291042,87576460,87627436,87873871,87904828,88150984,88181367,88188460,88217530,88875447,89391311,89479065,89498067,89642623,89956655,90650428,90814882,90943287,91021042,91079311,91491063,91696083,91969107,92029948,92196080,92270277,92422327,92609923,92622130,92717943,92734245,93055066,93163535,93396183,93627967,94024786,94174461,94578191,94745463,94746707,94962802,95156135,95215443,95444336,95550423,95807447,95819788,95950655,96018387,96100398,96154051,96263976,96399647,96418563,96501667,96562785,96751383,97056466,97058476,97121574,97222722,97274550,97326463,97349260,97919311,98206386,98473512,98557618,98916528,98932947,99169857,99392343,99458236,99464026,99599687,99646807,99829282,...,28090451631138366174691008073707666829154083624620726686125038900162673257781939062827909732394150284609057852275421276964594904384706641531363046986140731035509444112945973565338208412595589359866978153508827873316364343858023440378717568849924569575566839459519056168748390058284394233699931222697580492184166905425713001623948372767320386730118105822138787686116179204999406528870233093667223008874734145989767218288691251691583719667001128074809688024611644227665034701603866667051125231603282139302714593659358708299079806090949324865595031817636981771129092700424510890889741491961411942837327115402713884080159293473810099416662023240727907195792308448090501410592689689153758567812103703217059452323461238152227266674446817672789521177201217165746861343294499293989933970281983421918527482748517460527325295095038226093316162039310665341453004070495053879870179649238710513171541856504607671009234032809856461900229001135609239803740147259942978392285823117680735899822881218285204377728190715990848370526861550242207753281363464260936956003745711976330312614097324193774650155253084752315784343775382849497528541078458031008517868062430140590486321004911091886884740337370772093935199972581171511093841129217854095750349848521770322757061790206993861787616963113954068620448251070123264888320516464471502603408388763244959014779708198120550523497219315170687330837165779987832624982549807929879045391160894362555630757342946480224426140556078856692391354769722270079389086243633420771606926282111172338071307508429561980148084991272131395762893495118929608990457721901894316639303332113398185026770279880170087988758358582866835886560815797582379680531294426316801034498155296266275678434453228347146549146145742699475618694805386471537876316868174840776418966392552638515704875471993724365315606422540617689517897221365775139998119422534444912011212296549354395915246901681421731535082024064220495268030534503933141513608923154172857756438659910069411606381387268441699968127166098113088555673077960325230809219947460671829077389172215203594160825221415922114358540344485039843770315371667615343608465143361397730783942118401437292986474023483960092985732741351834324441943852014151057582121168275925731788717094134050824525742430664355579044439848180065040991622404443509918832485203476521301678471801177354531178531331514386304103851314451935427268603226254350864799987818828260468043956192401349668946189648049773466209939610201536874261173096527484626034694975561174564968276882010562821834011024584267051092347}
15874 12852729712666605771150590339669175249682810487474542966713667083: {412334,697796,1122013,1310653,1593073,1665195,1687069,1776208,1780993,1982375,1998234,2155969,2378850,2537440,2854620,2974724,2995453,3044928,3353204,3425544,3551869,3644353,3853737,3857396,4235204,4373774,4565233,4612724,4989956,5241284,5387869,6052094,6119924,6204673,6496004,6608942,6655933,6871796,6979454,7105393,7164494,7461848,7553053,8247236,8394579,8455742,8621684,8746436,8972696,8973469,9739934,9764353,9851869,10094283,10205835,10288142,10636273,10886224,11242333,11673073,11743694,11978756,12016369,12247002,12358513,12474116,12739736,12869569,13009742,13370174,13491416,13623603,13957124,14203844,14327156,14332203,14554369,14637853,15066356,15177843,15303133,15342254,15611379,15681476,15716593,16055054,16128253,16218575,16292413,16418564,16492376,16588142,16786676,16946173,17241176,17837569,18355742,18553923,18584975,18707534,18707595,18720253,19234142,19319883,19355396,19396323,19462290,19954768,20243643,20457854,20615869,20759776,20927773,21393469,22193774,22226379,22240513,22273796,22301970,22444323,22449114,22470013,22711742,23121524,23354748,23683069,23788768,24058369,24099575,24207603,24357313,24428942,24571124,24697496,25016163,25173469,25291383,25294196,25614973,25792334,25895876,26155419,26272369,26459975,26616836,26635069,26762364,27336644,27426673,27712369,27784683,28174964,28404056,28687099,28818575,28919490,29053693,29325695,29489156,29541313,29846679,29882648,29966084,29982795,30325742,30847456,31153742,31186369,31274996,31751970,31792573,31954563,31981648,31987316,32117379,32306894,32459293,32525569,32591773,32633195,32790795,33171956,33184369,33326419,33617979,33832563,33868768,33900733,34091043,34117364,34471364,34582290,34703388,34863553,34942916,34976848,35117569,35190834,35433469,35667335,35684893,35979354,36122113,36237044,36589316,36706676,36887776,36985969,37058564,37328894,37581063,38030883,38102364,38195569,38234975,38255293,38443742,38747859,39003695,39159834,39163844,39240635,39348954,39434653,39437336,39746804,40584575,40585213,40755313,40981570,41121854,41142644,41261883,41490884,41498748,41851835,41893850,41901614,41927869,41970579,42147613,42367742,42677774,42800802,42961393,42996596,43281483,43547869,43714203,43912142,44125633,44367003,44372654,44381684,44385373,44636683,44727236,44797213,44848369,45137294,45246579,45556993,45577347,45607069,45881970,45906013,46153153,46201742,46398493,46450676,46618850,46765995,46804434,47075869,47088762,47481284,47551069,47609170,48052724,48065473,48159854,48204253,48296495,48701490,48707569,48737396,48757454,48940768,49132895,49157569,49177884,49335553,49424113,49618136,49883728,49964975,50222202,50272620,50388974,50421853,50444036,50683742,50843773,50927293,51052033,51238004,51340573,51464564,51525575,51948256,52148942,52325835,52440254,52537213,52749695,52998935,53073469,53159684,53255839,53261569,53595613,53624128,53864975,53944179,53995969,54319742,54378123,54441335,54492913,54905307,54959876,55058364,55321694,55464254,55522907,55715135,55814224,55820403,55834993,55899073,55942620,56058050,56119194,56192756,56470099,56493469,56528324,56645569,56765953,56973853,57131004,57207133,57212771,57407473,57444974,57538136,57770173,57781895,57955794,57960433,58040893,58145534,58173553,58189835,58356253,58441788,58459069,58484593,58535684,58545100,58711069,58842494,58959474,58980356,59193469,59258942,59611083,59623863,59672128,59674094,59734333,59957970,59968369,60225614,60273469,60327144,60390973,60400856,60486913,60532676,60581495,61048574,61074973,61108093,61157233,61347313,61468273,61555969,61576055,61637636,61648235,61777153,61830690,61842493,61943293,62002142,62142193,62188916,62196733,62287295,62330113,62339869,62442433,62468893,62519869,62541848,62628733,62759773,62791002,62793469,62866369,62870653,62909533,62941213,62951869,62963569,62975233,62995969,63172203,63299634,63514563,63552706,63598722,63766690,63955168,64276484,64492043,64495556,64637970,64730403,64814379,64878279,65152004,65213491,65329602,65916404,65937003,65952736,66149835,66243524,66271454,66447483,66570356,66858162,66948999,67131144,67267295,67269660,67868037,67874804,67950963,68013100,68054723,68850116,68947168,69338274,69641048,69714884,69827802,70189850,70254120,70359579,70469876,70559824,70560395,70898174,70965575,71025819,71061455,71115764,71330804,71400734,71649195,71754304,71765771,71949564,72082436,72126635,72404084,72697794,73046516,73169048,73246803,73891266,73977882,74196828,74257339,74541044,74647556,74744754,74937728,75370443,75522537,75539002,75612575,76079770,76135364,76299614,76425808,76520028,76771076,76876916,77132111,77159975,77194244,77565564,77606414,77738399,77814123,77915643,78084056,78145835,78194654,78346179,79035885,79302404,79360334,79379802,79537895,79593050,80037236,80349243,80511614,80671570,80720754,80723592,81502196,81615720,81732530,81876335,82099214,82211534,82232324,82254227,82315179,82360779,82435742,82752884,82865263,83064836,83326814,83480324,83497443,83513794,83548142,83687876,84084935,84098942,84102596,84227820,84230979,84304944,84672474,84783095,85095335,85158690,85240436,85273746,85343684,85775591,85944734,85979034,86164323,86551962,86586254,86683335,87056768,87116894,87137048,87198575,87401924,87844563,87853742,88062974,88386179,88426244,88508555,88732916,88894142,88981850,89651204,89843008,90125266,90225134,90735090,90789580,90814041,90835936,91212095,91295724,91817685,91955283,91971416,92039123,92126654,92131490,92289476,92390516,92462224,92462379,92591970,92597883,92688167,92693444,93067583,93162130,93650667,93687614,93775002,93880142,94415255,94434466,94504964,94843062,95445474,95511660,95773742,96006644,96206324,96253339,96422894,96784096,96805114,96805884,96973694,97338014,97401716,97906459,97938864,98029179,98079036,98251602,98253995,98281563,98494295,98764768,99631679,99783123,...,37453935508184488232921344098276889105538778166160968914833385200216897677042585417103879643192200379478743803033895035952793205846275522041817395981520974714012592150594631420450944550127452479822637538011770497755152458477364587171623425133232759434089119279358741558331186744379192311599908296930107322912222540567617335498597830356427182306824141096185050248154905606665875371826977458222964011832978861319689624384921668922111626222668170766412917366148858970220046268805155556068166975471042852403619458212478277732106408121265766487460042423515975694838790267232681187852988655948549257116436153870285178773545724631746799222216030987637209594389744597454001880790252918871678090416138270956079269764614984202969688899262423563719361569601622887662481791059332391986578627042644562558036643664689947369767060126717634791088216052414220455270672093993405173160239532318280684228722475339476894678978710413141949200305334847478986404986863013257304523047764156907647866430508291046939170304254287987797827369148733656277004375151285681249274671660949301773750152129765591699533540337446336421045791700510465996704721437944041344690490749906854120648428006548122515846320449827696125246933296774895348125121505623805461000466464695693763676082386942658482383489284151938758160597668093497686517760688619295336804544518350993278686372944264160734031329625753560916441116221039983776833310066410573172060521547859150074174343123928640299234854074771808923188473026296360105852114991511227695475901709481563117428410011239415973530779988362841861017191326825239478653943629202525755519071109484530913369027039840226783985011144777155781182081087730109839574041725901755734712664207061688367571245937637796195398861527656932634158259740515295383835089157566454368558621856736851354273167295991632487087475230054156919357196295154366853330825896712593216014949728732472527886995868908562308713442698752293993690707379338577522018145230872230477008584879880092548808508516357922266624169554797484118074230770613766974412293263280895772103185562953604792214433628554562819144720459313386458360420495556820458144620191148530307711922824535249723981965364645280123980976988469112432589258469352201410109494891034567642384956125512067766034323240885807438725919797573420054655496539258013225109980271302028402237962401569806041571375108685848405471801752602580569691470968339134486399983758437680624058608256535132891928252864066364621613252813602049165681564128703312834712926634081566086624369176014083762445348032779022734789796}
15875 12909187904314946863475624812664518761999113212407291828747932913: {618501,872245,1046694,1554182,2220260,2664312,2997351,3171800,3568275,3718405,3806160,4059904,4191505,4281930,4462086,4567392,4821745,5029806,5138316,5294005,5765905,5786094,6237445,6352806,6529117,6551605,6560661,6919086,7136173,7484934,7649905,7851109,7861926,8120005,8177389,8589745,9078141,9179886,9327310,9525446,9744006,9913413,10307694,10309045,10469181,10553941,10603813,10746741,10777105,10892401,10933045,11024449,11147269,11192772,11215870,11642389,11804989,12120901,12370854,12680173,12683613,12932526,13119654,13302097,13459044,13607780,14117437,14430829,14575093,14609901,14973445,15086029,15221726,15432213,15592645,15635101,15913621,15924670,16329336,16381489,16823389,16864270,16963057,17446405,17460422,17615541,17683406,17708437,17754805,17857213,17908945,17968134,17985949,18164804,18249361,18370503,18433294,18639494,18711174,18832945,19054909,19109604,19514613,19601845,19706341,20055261,20085613,20237124,20512294,20523205,20615470,20694193,20815172,20935686,20983345,21305766,21490734,21551470,21610309,21984589,22154773,22238702,22599534,22671253,23013381,23016229,23135281,23522214,23700589,23964049,24082581,24194245,24627846,24665542,24738564,24853549,24874021,24882213,24943460,25180014,25262782,25759844,25861764,25944613,25949720,25989889,26147317,26661997,26789893,26991524,27011557,27460549,27533613,27839533,27842245,27983942,28061301,28477006,28659541,28851213,28901905,29033094,29182897,29193435,29635172,29735960,29815774,29925764,29932152,29963726,30421549,30604742,30686781,30713905,30871870,30883534,31139664,31224853,31617745,31688782,32017717,32276804,32369845,33269533,33271045,33290661,33354884,33391441,33410694,33452955,33673671,33721844,33950389,33963229,34067613,34166086,34170805,34507669,34682286,34716373,34873892,35020942,35024029,35032122,35218705,35505070,35683152,36122197,36494341,36643413,36856686,36861445,37046244,37309381,37353310,37457605,37579534,37941294,38367373,38513086,38559320,38688501,38843814,38911093,39093745,39152014,39448273,39795572,39925254,39977060,39984145,40016101,40143546,40193702,40553053,40905661,41004966,41419909,41464945,42262446,42335960,42606084,42646705,42823172,42856774,43062622,43089205,43311949,43379235,43415869,43648262,43678645,43721060,44120989,44233734,44301937,44511406,44823972,44949126,45110084,45133693,45203989,45296305,45336742,45454724,45488613,45736645,45883345,46109720,46271184,46323205,46730613,46912494,46921112,47172673,47340241,47627955,47710942,47711197,47972472,47980974,48118333,48167053,48460341,48503653,48541534,48837446,48838117,48954805,49296670,49631389,49683505,49744657,49757934,50108084,50345869,50707844,50803152,50870749,50955313,51176046,51428305,51550021,51557041,51663812,51707046,51861457,51863605,51873435,51950366,52055082,52199629,52213112,52414374,52448689,52465272,52786251,52850749,53089342,53542093,53745745,53969031,54355566,54724117,54883974,55015844,55060014,55105693,55331664,55477105,55587846,55909045,55960772,55993341,56125789,56208181,56917393,57067736,57153546,57294862,57558589,57665613,57708644,58063345,58285604,58380326,58476037,58739751,58745766,58809169,59023431,59156004,59302321,59351605,59620206,60065905,60198406,60229213,60328772,60769796,60843697,60921745,60932881,60935917,61175960,61472355,61682781,61713966,61739846,61759654,62022670,62236326,62248122,62255797,62279029,62354660,62386741,62405912,62561389,62586049,62785016,62840775,62852421,62872693,63055045,63459997,63551613,64016661,64022917,64047505,64201203,64330705,64494894,64525534,64935320,64953214,65150353,65238373,65570512,65836237,65849542,65868213,66432013,66449605,66558981,66572526,66595069,66872582,66962936,67030160,67090854,67407877,67544389,67705941,68160769,68319733,68323549,68699845,68798773,68822955,68994349,69235861,69302613,69676014,69767780,69928275,70206651,70240945,70633143,70660405,71221926,71413755,71516533,71717629,71922670,71925572,72079086,72239781,72504164,73052235,73106094,73136181,73169605,73169854,73181375,73207076,73350157,73370929,73411152,73725445,73766826,73785374,74133541,74212561,74427204,74590160,74656069,74825592,74860909,75333303,75408930,75501070,75583461,75665845,75666054,75873454,75898502,75905773,75933397,76025613,76174672,76244917,76309774,76857006,77044501,77047045,77196846,77274392,77736145,77922384,78177310,78223413,78246961,78437293,78581086,78612632,78617006,78660381,79310053,79481444,79498484,79646053,79739526,79943960,80114254,80161141,80345605,80436192,80474989,80598193,80619445,80904446,81030014,81160669,81327397,81440005,81479613,81533773,81800926,82374589,82395505,82439814,82440920,82582477,82587546,82804405,82982541,83029573,83196381,83212945,83702221,83721336,83750449,83913930,84043573,84087075,84118021,84178791,84229604,84289134,84399512,84686084,84792486,84798296,84843505,84992413,85016375,85696506,85850414,86062645,86167461,86183960,86307204,86419172,86504372,86933691,87051310,87106136,87143605,87218301,87370429,87443782,87662682,87803526,87817650,87916004,88087345,88199780,88263741,88439211,88470534,88579006,88596644,88888413,88894705,89144216,89163505,89265332,89402737,89508192,89511141,89692880,89936955,89965681,90064573,90103045,90298837,90338421,90490716,90505105,90601284,90799014,91308145,91461310,91499389,91572861,91760542,92247406,92298193,92451032,92456454,92746035,93003213,93103736,93176305,93283374,93309445,93672160,93785989,93812772,94186503,94701092,94814342,94949451,95169205,95329059,95380789,95398083,95532260,95556229,95650035,95789941,95932752,95963845,96096145,96321742,96412021,96414726,96492805,96743334,96831109,96930392,96956955,97026589,97093453,97116373,97148317,97605070,97662404,97663822,97728006,97868654,97994403,98521688,98569294,98637176,98643589,98874606,98929104,99128005,99365286,99407181,99612733,99659672,99855534,...,56180903262276732349382016147415333658308167249241453372250077800325346515563878125655819464788300569218115704550842553929189808769413283062726093972281462071018888225891947130676416825191178719733956307017655746632728687716046880757435137699849139151133678919038112337496780116568788467399862445395160984368333810851426003247896745534640773460236211644277575372232358409998813057740466187334446017749468291979534436577382503383167439334002256149619376049223288455330069403207733334102250463206564278605429187318717416598159612181898649731190063635273963542258185400849021781779482983922823885674654230805427768160318586947620198833324046481455814391584616896181002821185379378307517135624207406434118904646922476304454533348893635345579042354402434331493722686588998587979867940563966843837054965497034921054650590190076452186632324078621330682906008140990107759740359298477421026343083713009215342018468065619712923800458002271218479607480294519885956784571646235361471799645762436570408755456381431981696741053723100484415506562726928521873912007491423952660625228194648387549300310506169504631568687550765698995057082156916062017035736124860281180972642009822183773769480674741544187870399945162343022187682258435708191500699697043540645514123580413987723575233926227908137240896502140246529776641032928943005206816777526489918029559416396241101046994438630341374661674331559975665249965099615859758090782321788725111261514685892960448852281112157713384782709539444540158778172487266841543213852564222344676142615016859123960296169982544262791525786990237859217980915443803788633278606664226796370053540559760340175977516717165733671773121631595164759361062588852633602068996310592532551356868906456694293098292291485398951237389610772943075752633736349681552837932785105277031409750943987448730631212845081235379035794442731550279996238845068889824022424593098708791830493803362843463070164048128440990536061069007866283027217846308345715512877319820138823212762774536883399936254332196226177111346155920650461618439894921343658154778344430407188321650442831844228717080688970079687540630743335230687216930286722795461567884236802874585972948046967920185971465482703668648883887704028302115164242336551851463577434188268101649051484861328711158088879696360130081983244808887019837664970406953042603356943602354709062357062663028772608207702628903870854537206452508701729599975637656520936087912384802699337892379296099546932419879220403073748522346193054969252069389951122349129936553764021125643668022049168534102184694}
15876 12965892159170436041052083510328749006140127135636929836924484021: {269603,824668,838619,933203,1059203,1153619,1247963,1395592,1405043,1570041,1624619,1718603,2000123,2156243,2187443,2244026,2331273,2343323,2621306,2775325,3026819,3088763,3186146,3330390,3374138,3552323,3552416,3561986,3583163,3644819,3964750,3996468,4014083,4198283,4311938,4565819,4757700,4779683,4932203,5074880,5418923,5709240,5873363,5933819,5949448,5990906,6089856,6326003,6422895,6686819,6693129,6706408,6851088,6926723,7103738,7136219,7288706,7544709,7673123,7707474,7714792,7732619,8384963,8470408,8532683,8621219,8679141,8709683,8747548,8827523,8974643,9130466,9150923,9225448,9268283,9356219,9414803,9529209,9794819,9979912,10028003,10289723,10376819,10378629,10482568,10775738,11013323,11186243,11227401,11617283,11792889,12104188,12239848,12388619,12409346,12899603,12956219,12992008,13217884,13311866,13576883,13743592,13745483,13769829,13885763,13958908,13990965,13997843,14137763,14210786,14221619,14288169,14328988,14616009,14834363,14923696,15000803,15106106,15332819,15461541,15553523,15746219,16157819,16212563,16376603,16485803,16494472,16567619,16649363,16789158,16823805,16911484,16975619,17009725,17111219,17243368,17492872,17516819,17920619,17945392,17946938,18108443,18269123,18556281,18722819,19200683,19306523,19398789,19479868,19528706,19679481,19703738,19912619,20188566,20411670,20576284,20618723,20644763,20774843,20956619,21272546,21396443,21422243,21772448,22192523,22243619,22484666,22625819,22706005,22832589,23183123,23346146,23487388,23711483,23887005,23957512,24032738,24086723,24385619,24494004,24509819,24717026,24948232,25201643,25296405,25479472,25739138,25911563,26018965,26019484,26154803,26190633,26276123,26300363,26525109,26711219,26740348,26952201,26982832,27247206,27430619,27649941,27668819,27716363,27740123,27787619,27914248,27953603,27959241,28066761,28407688,28566683,28654312,28664406,28777643,29081219,29108738,29275706,29545619,29845763,30132712,30167483,30355686,30578819,30606266,30684508,30768441,30923205,31179325,31222758,31326203,31362952,31403529,31433186,31663043,31958649,32087123,32110108,32199805,32220443,32236101,32256506,32327205,32331323,32437150,32584826,32837128,32984752,32992403,33176284,33189323,33358053,33573352,33739405,33862643,33892346,33899301,33970523,34292963,34482352,34613603,34698803,35017163,35122883,35144003,35283321,35459843,35501819,35564723,35675138,35711219,35878163,36086123,36272603,36375923,36711484,36941769,36950819,36998313,37043965,37052819,37107846,37169950,37407205,37415068,37415190,37440506,37600163,37660619,37721003,37770021,37801403,37894173,38161619,38201483,38320883,38468284,38639766,38710792,38792646,38854619,38924580,39285203,39789083,39909536,39962243,40211219,40346005,40439843,40487286,40724003,40837163,40915708,41055973,41100083,41231738,41491523,41519552,41565683,41693605,41713619,41768963,41855546,41975913,42044603,42152305,42172619,42318443,42715509,42786938,42986219,43022003,43307123,43549641,43572563,43592365,43607819,43730963,44254283,44306219,44387548,44392619,44452758,44481026,44513243,44547592,44603940,44723661,44821619,44888646,44898228,44940026,44945589,45211883,45279323,45329819,45423484,45614603,45631283,45686473,45714563,45907113,45913619,46160819,46243048,46307805,46325301,46617443,46709496,46762883,46843403,46891619,47051819,47243003,47366138,47417243,47533173,47577536,47606219,47887523,48116738,48199150,48227819,48273923,48415206,48533819,48714626,48715883,48731003,48857884,48866723,49142248,49180883,49358819,49394992,49476803,49652819,49696643,49744465,49754963,49934269,49971325,49972523,50032326,50116041,50130923,50188283,50302619,50346938,50558003,50582766,50588392,51074819,51143819,51229946,51240083,51249129,51349619,51512963,51584668,51791752,51849563,51889619,52023429,52115243,52286219,52310838,52390763,52531413,52544738,52546619,52548183,52905803,52919950,53057819,53095643,53120819,53233672,53257605,53270138,53271203,53524728,53528965,53715443,53800619,53897483,54005843,54185003,54220619,54303443,54338819,54432803,54514619,54605173,54607643,54651325,54673288,54826523,54853346,54883643,54936889,55222163,55255619,55285029,55333403,55424738,55454843,55564403,55569366,55716443,55941563,56029965,56100203,56298563,56349928,56369301,56387605,56565323,56636219,56656403,56666483,56786819,56808112,56816723,56818405,56911941,56955323,57102083,57160283,57371219,57374198,57418619,57637150,57652619,57769629,57790619,57838980,57926819,58079003,58107386,58167443,58193819,58265721,58367819,58470683,58592569,58606043,58651390,58722803,58728021,58731083,58870619,58967723,58978312,59071619,59082626,59352073,59398043,59420819,59435963,59533619,59593043,59693358,59753819,59765296,59789819,59887881,59932168,59965590,59980763,59987723,60152363,60186083,60206219,60215319,60290553,60422963,60448643,60467819,60581363,60637163,60651484,60865619,61093619,61218923,61272083,61319243,61411619,61451843,61486619,61507449,61525883,61694912,61777523,61790819,61856219,61869083,61948883,62029763,62099819,62156219,62181923,62203643,62235683,62256683,62307484,62357363,62372738,62432723,62447843,62477483,62486219,62509163,62534363,62542619,62549992,62635105,62645819,62664923,62756819,62780483,62808443,62810243,62819123,62826083,62839619,62858963,62868203,62885819,62890043,62899619,62902283,62922443,62924819,62977619,62979803,62989643,62997203,62998619,63006803,63008819,63011723,63384805,63393669,63503940,63585146,63909126,63963296,63974632,64234758,64285161,64579765,64593933,64613788,64918586,65051138,65183546,65266390,65472393,65581590,65617981,66343912,66350601,66368738,66652838,66767109,67235958,67423689,67615093,67665126,67737536,67801466,68005113,68182086,68234728,68769805,68786053,68942728,69164580,69406776,69727106,69885832,69950965,69953696,70235138,70368741,70381668,70812709,70866938,71334670,71369786,71566413,71958708,71971461,72135805,72244226,72474088,72812301,72857005,73178632,73256169,73413352,73775552,73849573,73945005,73971938,74117128,74198509,74636901,74657788,75162126,75410965,75962245,76061161,76061766,76204728,76217869,76391138,76469950,76510586,76764069,76887484,77495718,77560569,77925549,77943325,78001189,78007390,78082623,78319668,78327688,78481270,78621561,78697908,78869306,78874672,79493608,79634013,80428309,80894653,81169150,81170426,81465769,81510626,81533349,81963140,82243708,82285288,82325961,82523766,82590021,82981768,82997496,83381769,83703670,83787700,83803228,83855738,83941158,84295226,84735484,84814093,85355548,85601604,85730319,85922786,85942293,85993192,86206477,86307529,86562966,86884093,87095738,87202213,87209725,87428406,87570489,87824284,88118649,88251266,88734006,88745308,88763368,88770746,89273366,89430309,89454472,89594426,89696738,89906965,90274588,90297609,90493158,90630205,91113986,91154694,91214138,91508845,91691149,91763940,91812026,92306306,92403484,92570949,92609769,92639481,92796986,92901352,93034005,93237700,93354489,93372183,93531990,93608868,94151738,94174213,94177524,94962568,95102138,95218340,95866837,96105448,96130946,96319708,96408506,96592990,96742341,96788301,97209541,97402980,97415138,97429821,97474792,97514908,97881536,98265790,98315138,98355768,98671106,98774313,98784553,98848226,99236272,99351805,99373105,99486037,99767456,99858789,99929950,...,84271354893415098524073024221123000487462250873862180058375116700488019773345817188483729197182450853827173556826263830893784713154119924594089140958422193106528332338837920696014625237786768079600934460526483619949093031574070321136152706549773708726700518378557168506245170174853182701099793668092741476552500716277139004871845118301961160190354317466416363058348537614998219586610699281001669026624202437969301654866073755074751159001003384224429064073834932682995104104811600001153375694809846417908143780978076124897239418272847974596785095452910945313387278101273532672669224475884235828511981346208141652240477880421430298249986069722183721587376925344271504231778069067461275703436311109651178356970383714456681800023340453018368563531603651497240584029883497881969801910845950265755582448245552381581975885285114678279948486117931996024359012211485161639610538947716131539514625569513823013027702098429569385700687003406827719411220441779828935176857469353042207699468643654855613133184572147972545111580584650726623259844090392782810868011237135928990937842291972581323950465759254256947353031326148548492585623235374093025553604187290421771458963014733275660654221012112316281805599917743514533281523387653562287251049545565310968271185370620981585362850889341862205861344753210369794664961549393414507810225166289734877044339124594361651570491657945512061992511497339963497874947649423789637136173482683087666892272028839440673278421668236570077174064309166810238167258730900262314820778846333517014213922525288685940444254973816394187288680485356788826971373165705682949917909996340194555080310839640510263966275075748600507659682447392747139041593883278950403103494465888798827035303359685041439647438437228098426856084416159414613628950604524522329256899177657915547114626415981173095946819267621853068553691664097325419994358267603334736033636889648063187745740705044265194605246072192661485804091603511799424540826769462518573269315979730208234819144161805325099904381498294339265667019233880975692427659842382015487232167516645610782482475664247766343075621033455119531310946115002846030825395430084193192351826355204311878959422070451880278957198224055502973325831556042453172746363504827777195366151282402152473577227291993066737133319544540195122974867213330529756497455610429563905035415403532063593535593994543158912311553943355806281805809678763052594399963456484781404131868577204049006838568944149320398629818830604610622783519289582453878104084926683523694904830646031688465502033073752801153277041}
15877 13022843541255593447459092965640476435178880446800155591156556868: {15877,1030835,1221143,1237002,1744490,2093388,3108364,3366039,3931959,4440520,4779219,4995585,5061207,5205767,5328624,5342979,5868107,5947125,5994702,6343600,6467907,6750443,7136550,7411607,7436810,7484279,7612320,8072267,8119808,8383010,8433659,8563860,8732423,8924172,8986359,9134784,9172247,9643490,9664187,9952667,10059612,10276632,10588010,10655607,10709867,10933059,10934435,11281799,11368007,11531810,11561211,11562227,11572188,12025643,12321443,12474890,12531779,12705612,13058234,13103210,13121322,13460267,13695699,13718903,13759187,13838172,14219483,14272346,14432663,14969868,14985659,15087947,15130235,15299810,15306263,15702218,15723852,16163607,16240010,16354778,16522355,17179490,17448635,17911235,18132923,18156282,18308723,18359772,18614019,18654620,19050892,19488012,19591667,19826826,19882187,19967799,20101943,20615388,20618090,20938362,20962823,21065399,21103979,21107882,21139355,21207626,21296663,21316179,21493482,21554210,21634307,21784802,21829703,21866090,21987383,22048898,22294538,22385544,22431740,22659159,23284778,23609978,24046583,24241802,24327767,24349835,24424967,24741708,24856727,25072523,25133027,25183737,25360346,25367226,25720355,25865052,25981787,26239308,26366123,26604194,26793299,26918088,26920407,27215560,27442583,27927203,28009787,28234874,28732487,28861658,28874423,29047523,29150186,29197559,29219802,29293059,29359235,29376683,29555607,29946890,30172058,30282849,30443452,30617505,30864426,30958307,31185290,31270202,31827242,31849340,31905527,31908819,32524355,32616179,32658672,32762978,33425435,33646778,33726999,33728540,33871943,33926114,33967547,34295063,34892810,34920844,35019219,35231082,35366812,35416874,35509610,35694299,35714426,35817890,35936268,35971898,36049107,36329608,36498722,36741006,36866588,36902099,37075539,37278988,37422348,37665890,37958903,38109818,38219208,38355635,38372279,38608707,38613383,38979143,39029226,39101267,39144503,39203690,39318539,39412682,40110522,40123187,40137635,40171226,40462667,40474248,40870809,41024588,41046410,41230940,41372579,41388386,41470355,41630344,41871372,41966690,42586667,42611532,42981468,42996609,42999467,43102940,43220618,43663107,43913559,43969178,44264843,44309546,44477404,45199068,45317783,45342506,45343259,45424727,45533529,45889355,45909399,45938567,46026762,46032458,46069403,46270562,46579463,46768835,46834137,47044428,47149779,47357243,47401178,47839127,47928098,48085355,48165162,48244283,48384759,48388490,48509879,48655725,48877239,49255692,49306187,49331084,49473779,49477128,49707098,49748042,49750979,49764426,49886920,50360028,50525564,50838519,51144635,51403427,51519688,51606023,51723528,51889226,51899440,51979778,52142987,52206263,52294634,52440647,52542743,52981163,53175323,53323994,53324279,53339819,53512707,53579786,53983048,54023114,54731243,54921098,55067226,55112699,55484435,55661769,55679066,55684490,55754925,55967884,55977803,56122602,56122785,56132963,56160759,56779355,56855543,56924699,56954012,57319082,57322499,57702426,57803810,57959649,58050923,58066188,58188969,58365794,58386870,58619123,58816643,59270344,59471920,59631548,59705387,59851528,59864304,59927452,59973707,60324887,60730929,60843098,61072355,61150103,61209484,61373562,61427810,61743740,61767068,61847607,62279328,62286947,62449706,62594003,62728823,62783319,63235490,63277019,63377564,63414827,63443123,63567779,63991043,64031303,64035434,64180407,64236683,64366163,64480835,64553608,64739690,64852487,65639027,65754587,66440459,66539066,66542090,66581322,66679137,66709768,66721539,66782882,66821388,66905910,67332969,67347342,67410039,67443688,67900778,67926458,68001779,68023787,68135226,68328419,68332172,68341610,68536727,69015338,69364572,69432746,69519179,69556907,69672599,69747784,70041884,70048058,70064244,70283963,70437410,70925879,71010140,71049207,71179979,71366304,71726747,71999627,72175107,72244394,72298725,72359927,72609047,72622809,72988682,73071939,73286826,73359479,73380347,73713372,73722890,73936187,74092488,74429783,74496983,74618762,74706620,74870423,74915210,75048489,75159068,75244043,75520407,75814355,75836603,75874149,75882588,75915479,76134407,76179683,76734746,76844919,76969667,77026172,77118640,77377002,77667947,77687628,77822186,77884355,78187490,78272663,78304028,78466257,78817107,78896546,79246199,79379925,79591144,79656179,79825187,79850508,79905207,79954120,79968290,80032202,80287092,80387404,80767235,80852507,81106106,81170183,81288683,81544139,81811322,82002803,82009932,82236083,82280019,82839818,82929890,83092247,83137107,83264183,83354049,83830499,84092267,84519539,84524892,84671920,85212168,85290443,85293410,85381883,85646344,85713548,86061297,86125244,86178410,86455725,86623898,86758470,86831738,86936183,87161079,87296524,87357290,87442120,87457847,87977085,88212743,88241978,88277063,88467468,88603874,88623939,89022812,89540037,89647944,89666507,89898252,89948385,90062987,90220168,90267386,90310379,90407978,90592610,90673484,90708983,90909448,90977226,91102547,91473290,91766690,92026763,92174423,92219440,92542368,92646410,92698619,93029447,93322235,93461226,93559107,93603443,93824988,93842224,94345346,94680482,95255910,95377719,95421884,95422394,95568443,95863689,95944944,95961948,96109355,96179783,96236666,96334106,96352137,96526343,96660827,96920682,97007306,97039283,97083068,97128839,97351787,97377879,97576707,97649303,97674892,97676234,97775319,97899585,97909610,98125859,98337323,98372385,98593340,98924567,99262778,99367010,99489314,99515868,99553107,99979257,...,112361806524553464698764032294830667316616334498482906744500155600650693031127756251311638929576601138436231409101685107858379617538826566125452187944562924142037776451783894261352833650382357439467912614035311493265457375432093761514870275399698278302267357838076224674993560233137576934799724890790321968736667621702852006495793491069281546920472423288555150744464716819997626115480932374668892035498936583959068873154765006766334878668004512299238752098446576910660138806415466668204500926413128557210858374637434833196319224363797299462380127270547927084516370801698043563558965967845647771349308461610855536320637173895240397666648092962911628783169233792362005642370758756615034271248414812868237809293844952608909066697787270691158084708804868662987445373177997175959735881127933687674109930994069842109301180380152904373264648157242661365812016281980215519480718596954842052686167426018430684036936131239425847600916004542436959214960589039771913569143292470722943599291524873140817510912762863963393482107446200968831013125453857043747824014982847905321250456389296775098600621012339009263137375101531397990114164313832124034071472249720562361945284019644367547538961349483088375740799890324686044375364516871416383001399394087081291028247160827975447150467852455816274481793004280493059553282065857886010413633555052979836059118832792482202093988877260682749323348663119951330499930199231719516181564643577450222523029371785920897704562224315426769565419078889080317556344974533683086427705128444689352285230033718247920592339965088525583051573980475718435961830887607577266557213328453592740107081119520680351955033434331467343546243263190329518722125177705267204137992621185065102713737812913388586196584582970797902474779221545886151505267472699363105675865570210554062819501887974897461262425690162470758071588885463100559992477690137779648044849186197417583660987606725686926140328096256881981072122138015732566054435692616691431025754639640277646425525549073766799872508664392452354222692311841300923236879789842687316309556688860814376643300885663688457434161377940159375081261486670461374433860573445590923135768473605749171945896093935840371942930965407337297767775408056604230328484673103702927154868376536203298102969722657422316177759392720260163966489617774039675329940813906085206713887204709418124714125326057545216415405257807741709074412905017403459199951275313041872175824769605398675784758592199093864839758440806147497044692386109938504138779902244698259873107528042251287336044098337068204369388}
15878 13080043119157887403498657230207350388005922634766117443765125687: {301321,539206,964837,1649336,1677238,1855503,1866406,2118406,2187721,2307238,2374777,2495926,2616735,2791184,2810086,3120121,3140082,3249238,3305737,3437206,3583621,3885455,4000246,4229497,4312486,4321477,4374886,4488052,4662546,4686646,5237317,5242612,5550650,5692537,6053638,6177526,6372292,6660780,6748276,6777721,7104646,7104832,7123972,7166326,7289638,7495417,7929500,7992936,8028166,8386057,8396566,8623876,8740297,8992053,9131638,9181477,9269497,9445321,9515400,9559366,9864406,10058437,10149760,10494217,10704825,10837846,11155215,11187721,11418480,11446597,11746726,11867638,11876617,11898896,11981812,12179712,12574515,12652006,12845790,13373638,13386258,13412816,13702176,13853446,14207476,14272438,14465235,14577412,14753017,15002821,15089418,15346246,15414948,15429584,15465238,15583177,15882015,16769926,16940816,17065366,17242438,17297715,17358282,17419366,17495096,17655046,17949286,18260932,18271621,18301846,18450896,18536566,18712335,18712438,18829606,19058418,19229797,19309177,19587351,19589638,19654815,19681983,19959824,20056006,20256121,20579446,20647621,20753638,20757258,20881657,20965136,21037321,21192697,21408519,21425221,21551476,21965257,22026646,22372486,22454802,22806757,22949715,23186377,23234566,23318275,23553327,23564197,23585778,23813615,24208376,24360015,24479696,24532167,24777238,24818692,25769235,25799206,25912438,25984016,26158537,26304121,26435768,26623732,27153766,27234423,27487184,27490966,27539658,27744121,27771526,27917816,27981930,27995686,28039675,28275526,28421572,28443238,28576338,28657976,28805221,29232018,29668726,29740239,29847392,30001606,30212212,30665638,30674377,30923082,30927135,31014757,31082617,31107046,31353337,31407543,31492438,31661823,31690117,31788407,31811439,32240223,32315638,32331315,32425126,32677203,32753206,32755717,32799135,32971606,32988944,33073347,33084937,33135238,33298726,33441807,33578316,33647610,33822968,33867721,33951238,33997177,34019450,34222438,34486736,34927167,34985744,35033638,35149321,35414967,35653897,35779321,35841238,35890784,35893876,35904457,36216886,36362703,36426551,36538246,37112562,37445638,38040519,38050839,38054315,38346697,38401366,38613046,38797578,38959736,38998117,39057412,39115621,39358962,39407476,39408121,39811675,39814597,39825238,39906291,40377132,40389157,40823340,41125321,41152568,41237446,41289526,41516677,41549686,41794057,41913238,42069637,42160675,42343417,42352311,42545092,42792886,42844486,42939397,43046821,43292487,43314121,43544896,43651055,43725279,43829703,44208515,44385046,44487238,44520517,44920335,44969332,45079727,45251638,45258087,45412010,45638821,45665178,46083235,46296639,46366246,46598735,46692292,46770697,46777935,46867321,46905303,46974776,47235167,47422966,47740863,47774010,47911177,47915024,47957797,48065476,48173446,48282121,48739321,48771238,48875077,48988008,49019638,49055077,49144467,49434052,49500037,49896464,49981177,50403286,50470167,50592810,50791717,50889171,50958944,51280735,51478276,51535621,51538675,51616837,51657337,51818617,51823126,51861551,52018597,52037930,52038968,52137721,52309606,52339215,52370087,52381266,52552246,52600726,52723621,52846623,52915321,53050218,53125311,53264415,53368057,53422438,53480696,53571639,53726835,53878675,53904402,53957847,53965664,54206821,54313417,54454537,54494412,54748083,54861238,55007497,55111509,55299882,55337638,55343737,55432726,55480246,55575238,55596755,55672777,55828496,55907206,55918482,55962757,56133522,56309257,56484407,56498835,56677321,56815376,56827621,56976121,57133366,57164727,57180997,57308624,57328812,57353797,57555286,58019077,58162438,58178917,58217476,58362121,58371047,58543839,58551412,58617721,58742821,58805535,59013227,59091238,59119023,59295097,59523337,59612617,59691526,60000121,60062437,60103621,60164857,60165783,60256839,60265424,60265477,60334966,60556537,60711372,60901957,61029311,61039621,61157638,61212532,61332517,61369016,61440121,61470217,61536882,61569615,61663855,61795621,61846410,61887097,61962697,62047621,62082579,62129017,62217721,62249797,62358650,62419321,62445516,62534917,62615557,62652406,62681977,62725904,62748937,62755237,62797321,62807058,62825221,62866372,62875621,62884837,62906617,62950035,62954821,62964217,62970121,62978437,63005221,63022537,63027577,63156955,63326086,63917298,64174246,64220216,64399610,64440886,64472202,64513012,64654410,64662646,64830927,64874300,65169652,65674256,65953767,65969504,65984806,66352568,66378646,66464319,66716106,67146704,67478810,67725286,67784692,67798602,67941046,68013759,68585926,68964704,69040143,69048687,69227206,69397606,69405843,69642251,69959855,70034326,70143359,70245766,70288006,70566642,70919686,71003638,71101767,71129446,71192515,71350276,71422438,71756326,71892147,72172246,72247743,72545206,72582735,72751846,73422968,73883538,73901638,73996626,74087930,74105638,74215692,74339900,74539435,74560647,74622063,74646639,74814410,74830136,74830380,74881012,74909315,74940551,75200326,75321238,75442006,75540042,75602806,75788346,76323238,76402966,76511855,76641766,76936568,77179675,77208835,77279532,77421584,77548523,77585292,77709238,77833839,77849160,77969667,78441951,78570406,78942647,79221955,79545767,79578166,79819072,79924486,79985991,80369679,80422438,80692010,80879686,80974572,81034671,81448006,81674326,81831416,82111946,82200166,82381647,82463476,82600839,82983046,83039104,83131366,83387210,83427238,83518599,83526735,83537926,83687747,83711092,83951826,84089206,84183903,84304610,84345238,84636886,85415215,85431018,85573876,85972438,85978623,86044006,86553639,86614246,86705715,87099282,87145126,87184730,87215638,87461926,87548691,87552355,87580305,87689147,88508566,88612438,88738727,88762675,88775096,88785238,88905516,88962052,89026486,89095184,89207880,89447322,89643238,89777292,89796456,89880052,89890463,89891178,89905783,90411671,90423766,90558646,90659638,90846968,91229206,91262566,91264647,91372946,91429126,91814226,91827238,92060343,92141715,92321638,92486096,92615610,92650602,93234886,93383275,93418992,93525766,93674559,93686806,93783238,93948835,94103638,94486006,94732276,94834486,94853235,95066346,95155072,95212438,95775046,96053151,96233476,96277727,96282715,96398300,96455638,96547846,96830412,97067638,97105751,97109535,97429252,97431766,97462006,97715768,97733446,97880035,97931351,98284496,98361766,98717638,98789984,98953606,99305638,99393286,99488930,99509926,99808599,99813135,99868538,99871983,99942650,99945046,...,168542709786830197048146048442246000974924501747724360116750233400976039546691634376967458394364901707654347113652527661787569426308239849188178281916844386213056664677675841392029250475573536159201868921052967239898186063148140642272305413099547417453401036757114337012490340349706365402199587336185482953105001432554278009743690236603922320380708634932832726116697075229996439173221398562003338053248404875938603309732147510149502318002006768448858128147669865365990208209623200002306751389619692835816287561956152249794478836545695949193570190905821890626774556202547065345338448951768471657023962692416283304480955760842860596499972139444367443174753850688543008463556138134922551406872622219302356713940767428913363600046680906036737127063207302994481168059766995763939603821691900531511164896491104763163951770570229356559896972235863992048718024422970323279221077895432263079029251139027646026055404196859138771401374006813655438822440883559657870353714938706084415398937287309711226266369144295945090223161169301453246519688180785565621736022474271857981875684583945162647900931518508513894706062652297096985171246470748186051107208374580843542917926029466551321308442024224632563611199835487029066563046775307124574502099091130621936542370741241963170725701778683724411722689506420739589329923098786829015620450332579469754088678249188723303140983315891024123985022994679926995749895298847579274272346965366175333784544057678881346556843336473140154348128618333620476334517461800524629641557692667034028427845050577371880888509947632788374577360970713577653942746331411365899835819992680389110160621679281020527932550151497201015319364894785494278083187766557900806206988931777597654070606719370082879294876874456196853712168832318829227257901209049044658513798355315831094229252831962346191893638535243706137107383328194650839988716535206669472067273779296126375491481410088530389210492144385322971608183207023598849081653538925037146538631959460416469638288323610650199808762996588678531334038467761951384855319684764030974464335033291221564964951328495532686151242066910239062621892230005692061650790860168386384703652710408623757918844140903760557914396448111005946651663112084906345492727009655554390732302564804304947154454583986133474266639089080390245949734426661059512994911220859127810070830807064127187071187989086317824623107886711612563611619357526105188799926912969562808263737154408098013677137888298640797259637661209221245567038579164907756208169853367047389809661292063376931004066147505602306554082}
15879 13137491966049165553385573319603748458237999063099678571391060386: {31754,808809,1443169,2061670,2442286,2474004,2515857,2799609,3177609,3460857,3488980,3743889,4186776,4215129,4710123,4873857,5155809,5610065,6000369,6216728,6468729,6553265,6562329,6732078,6993819,7029969,7863918,7965365,8325975,8435345,8845057,8881040,8904965,9080457,9266289,9558438,9911875,9991170,10122414,10260041,10411534,10656969,10657248,10685958,10749489,10779845,10934457,11123569,11736214,11894250,11989404,12042249,12337457,12594849,12687200,12922489,12935814,13500886,13697457,14243909,14273100,14339049,14796609,14823214,14873620,14968558,14977265,15200137,15224640,15308209,15850409,16144534,16213249,16239616,16256769,16766020,16867318,17089529,17127720,17464846,17517137,17620089,17759345,17801457,17848344,17972718,18221765,18269568,18344494,18550697,18796901,18978009,19059737,19263857,19268685,19286980,19328374,19905334,20060457,20079387,20119224,20553264,20780169,21176020,21182329,21311214,21408657,21419734,21436529,21539489,21866118,21868870,21896569,22563598,22634127,22677017,22736014,22826165,23019369,23063620,23122422,23124454,23131297,23144376,23197857,23706617,23864549,24051286,24279989,24428089,24642886,24949780,25063558,25075729,25154889,25411224,25598049,25863657,25985089,26037423,26116468,26129049,26206420,26242644,26482569,26554757,26920534,26923929,26939345,27018401,27061637,27391398,27437806,27452769,27518374,27676344,27804849,28068657,28244409,28418689,28438966,28544692,28587627,28865326,29384457,29595097,29853217,29939736,29971318,30084009,30110657,30175894,30253829,30260470,30429257,30599620,30612526,30869169,31023365,31130457,31135887,31404436,31447704,32275049,32327214,32480020,32709556,33039969,33044710,33279665,33558729,33682203,33959057,34089769,34358980,34851849,34897270,35032937,35378667,35526965,35822470,36008497,36265846,36312564,36617446,36719544,37165857,37228038,37309240,37765265,37951169,37963729,38101784,38698809,38758289,38868657,38976024,39055577,39183334,39653652,39764374,39935598,40203886,40530529,40679141,40730649,41088641,41102929,41230776,41236180,41236449,41309487,41657289,41876724,41925646,41972895,41993529,42130798,42207958,42215764,42278710,42413289,42415252,42593326,42632358,42664857,42864507,42986964,43108420,43268614,43569604,43659406,43732180,43738529,43848027,43974766,44097796,44306357,44503089,44589076,44771088,44863480,44867345,45002409,45318318,45349057,45534097,45897737,45998457,46128821,46384623,46569556,46660569,46795609,47219956,47238657,47723369,48093166,48473457,48483604,48637689,48655534,48699670,48821765,48849934,49129809,49259345,49303409,49457409,49483416,49702857,49713454,49948089,50145046,50266054,50367474,50471415,50720692,50734452,50883737,50926857,51029175,51333657,51440710,51570149,51730104,51963574,52478616,52550457,52594457,52732246,53181365,53182081,53208388,53586598,53697889,53761857,53836176,53840814,53920081,54226337,54325329,54431120,54807369,54864041,54885166,55668843,55854406,56019574,56168457,56192689,56211665,56469748,57329857,57450889,57464974,57468101,57602049,57723316,57748846,57919569,58058497,58095046,58196367,58300372,58365365,58395118,58439604,58586118,58718470,58753366,59038443,59111214,59214241,59737857,59893780,59981329,60081845,60344116,60565698,60886904,61235010,61436849,61728852,61792565,61856169,61906469,61916614,61934289,62095969,62324529,62370580,62402657,62540404,62736841,62869857,63451189,63654484,63698680,63811054,63817638,64189329,64245097,64266729,64347845,65048710,65166917,65232358,65317344,65476369,65525956,65647369,65972561,66577569,66730857,66850870,67293556,67319497,67453998,67457080,67743886,67852228,67877457,67935094,68118015,68224937,68497767,68590126,69011897,69549369,69681457,69785620,69841688,70038438,70462164,70733624,70833748,71019220,71134449,71388598,71428852,71519401,71602489,71635780,71661015,71872536,71943796,72098214,72260169,72659216,72771845,72997444,73156857,73189265,73482012,73529457,73712449,73733176,73804198,74151078,74231429,74430437,74557976,74675057,74844696,75125557,75331780,75604929,75846241,75889215,75917806,75952769,76219636,76438416,76515665,76711270,76744558,76979449,77064089,77217414,77226766,77549189,77678209,77734689,77958286,78056895,78058452,78202534,78289006,78407380,78464409,78571899,78582965,78637078,78825364,78828369,78901089,79114937,79330217,79491097,79575327,80133657,80221044,80246374,80275270,80342452,80641265,80856603,80925334,80948496,81092875,81348161,81462065,81599009,81741618,82013329,82049176,82092820,82218137,82291857,82461880,82603481,82745158,82776772,82940710,82949823,83006457,83051177,83149089,83220369,83260688,83274769,83362857,83742744,83841157,83860809,83877723,83933380,84200283,84730865,85173334,85223064,85501297,85700049,85962936,85993218,85995041,85998934,86205880,86332929,86441236,87243657,87326214,87827118,87907537,87938356,88041889,88529686,88619092,88636857,88954808,89187845,89537289,90273169,90398136,90502449,90635566,90685012,90686518,90697609,90849454,91067058,91736457,91778710,91818798,91877134,92053524,92064916,92138806,92305323,92541124,92769615,92924875,93158926,93537670,93537975,93601265,93668274,93978609,94088856,94210587,94299558,94560049,94714486,94802356,94989129,95678254,95756441,95856196,95875947,96170710,96261369,96330324,96488566,96538681,96599415,96661329,96708303,96769518,96776980,96981615,96993969,97019758,97311450,97754478,98511384,98612374,98662168,98947558,98954256,98977209,99414196,99496084,99501958,99528852,99567969,99773840,...,252814064680245295572219072663369001462386752621586540175125350101464059320037451565451187591547352561481520670478791492681354139462359773782267422875266579319584997016513762088043875713360304238802803381579450859847279094722210963408458119649321126180101555135671505518735510524559548103299381004278224429657502148831417014615535354905883480571062952399249089175045612844994658759832097843005007079872607313907904964598221265224253477003010152673287192221504798048985312314434800003460127084429539253724431342934228374691718254818543923790355286358732835940161834303820598018007673427652707485535944038624424956721433641264290894749958209166551164762130776032814512695334207202383827110308933328953535070911151143370045400070021359055105690594810954491721752089650493645909405732537850797266747344736657144745927655855344034839845458353795988073077036634455484918831616843148394618543876708541469039083106295288708157102061010220483158233661325339486805530572408059126623098405930964566839399553716443917635334741753952179869779532271178348432604033711407786972813526875917743971851397277762770842059093978445645477756869706122279076660812561871265314376889044199826981962663036336948845416799753230543599844570162960686861753148636695932904813556111862944756088552668025586617584034259631109383994884648180243523430675498869204631133017373783084954711474973836536185977534492019890493624842948271368911408520448049263000676816086518322019835265004709710231522192927500430714501776192700786944462336539000551042641767575866057821332764921449182561866041456070366480914119497117048849753729989020583665240932518921530791898825227245801522979047342178241417124781649836851209310483397666396481105910079055124318942315311684295280568253248478243840886851813573566987770697532973746641343879247943519287840457802865559205661074992291976259983074802810004208100910668944189563237222115132795583815738216577984457412274810535398273622480308387555719807947939190624704457432485415975299713144494883017797001057701642927077282979527146046461696502549936832347447426992743299029226863100365358593932838345008538092476186290252579577055479065612935636878266211355640836871594672166508919977494668127359518239090514483331586098453847206457420731681875979200211399958633620585368924601639991589269492366831288691715106246210596190780606781983629476736934661830067418845417429036289157783199890369454344212395605731612147020515706832447961195889456491813831868350557868747361634312254780050571084714491938095065396506099221258403459831123}
15880 13195191159705168071661067436620106923816516990911129337059279786: {47631,602642,1078412,1122439,1311151,1405399,1687711,1781671,1929674,2063119,2343919,3089551,3092505,3298672,3354476,3645751,3663429,3711006,3732812,3738199,3922879,4236812,4361225,4375442,4614476,4749554,4841959,4991852,5233470,5439637,5481031,5582368,5620172,5935351,6240242,6280164,6478159,6498476,6611474,6874412,7167242,7197871,7377079,7734631,7770910,8000492,8002039,8458994,8624972,8642954,8749772,8976104,9065191,9325092,9373292,9417271,9855751,9943231,10098117,10474634,10485224,10900759,11101300,11246791,11385074,11677711,11795877,12021151,12107276,12355052,12448831,12744584,12959671,13321560,13496552,13555442,13636759,13889479,14057599,14209292,14209664,14247944,14332652,14337657,14579276,14643751,14986755,14990834,15060271,15183621,15557719,15617301,15859000,15985872,16028937,16056332,16216951,16381039,16772114,16793132,17115871,17247752,17359519,17480594,17604321,17841375,17925511,17984106,18263276,18362954,18407839,18538994,18592025,18807799,18890642,19030800,19118732,19205959,19403721,19728812,19760359,20116874,20251329,20299520,20702551,20957525,20988434,21409650,21479791,21675692,21711559,22234821,22249831,22310430,22326439,22375442,22452837,22836960,22893194,23315791,23493452,23735276,23753234,23797792,23963624,24108725,24216801,24359424,24367639,25149030,25300977,25304012,25625911,25691580,25918951,26197269,26210839,26470025,26718871,26747276,26772516,26825632,26959077,27151519,27404352,27438511,27510079,27516741,27706892,27724351,27795631,28221799,28414952,28544876,28715719,28829525,28926319,28930470,28992561,29154824,29275879,29506034,29858001,30005642,30178836,30692492,30829896,30859168,30860671,30930476,31166354,31187225,31764030,31873711,31966821,32129601,32141119,32274391,32473759,32540071,32606311,32645585,32758025,32799177,32803305,33002239,33339061,33539852,33845397,33881632,33915991,33980719,34104021,34130732,34484876,34595430,34683633,34686681,34716564,34751839,34838732,34990192,35196871,35310092,35512591,35680865,35889079,35898572,36076929,36138631,36387031,36521864,36543242,36603692,36901792,36964329,37002991,37064191,37073132,37424670,37424876,37429879,37595337,37611751,37659212,37913431,38033599,38116836,38213311,38249525,38273071,38332759,38459594,38618354,39174702,39179276,39255545,39309630,39363966,39511399,39919648,39974791,40112012,40262071,40380801,40490599,40512242,40600025,40661239,40774639,40886945,41087097,41156709,41158892,41277561,41295242,41507276,41514516,41763314,41930272,42074642,42331999,42385394,42495511,42658449,42817038,42850442,42948725,43035871,43102952,43297989,43621951,43832911,43930514,44053292,44355271,44744972,44870431,44909604,44956977,45226759,45263841,45390705,45579559,45613514,45629671,45729679,45899430,45918789,46372754,46469132,46636550,46810759,47099551,47106654,47128394,47171556,47622271,47627230,47903719,48089911,48136279,48228799,48416752,48490821,48720030,48959392,49064334,49493839,49554476,49567065,49637384,49669951,50448199,50490751,50575639,50912311,51078919,51538470,51545225,51598412,51824876,51968032,52133791,52317074,52345905,52565431,52608242,52681639,52769705,52871536,53019065,53102191,53139991,53247464,53276041,53661631,53733705,53885525,53989519,54061591,54307532,54398769,54462005,54468846,54523039,54665225,54869719,54926169,54972319,54974368,54981932,55079316,55122245,55242751,55376239,55475599,55488242,55543052,55736345,55835632,55842057,55930711,55962679,55963860,55991372,56079350,56340679,56495119,56551052,56556391,56678071,56843144,56886476,57152676,57315952,57525799,57610442,57831511,57886159,58075159,58101871,58207999,58211945,58464036,58468279,58519471,58646191,58775001,59024945,59039599,59337452,59391679,59460151,59480478,59617399,59646561,59694784,59705671,59771119,59903397,60003212,60026431,60211111,60305829,60424424,60448279,60544039,60604505,60637999,60820519,61111477,61163959,61245319,61331276,61348754,61387231,61402639,61552759,61846164,61854270,61891921,61896559,61984759,61997071,62029514,62057551,62165234,62184271,62195359,62214092,62238991,62382631,62476591,62512159,62571631,62611951,62642911,62706674,62786551,62804479,62810311,62815086,62864671,62888469,62916151,62920399,62932711,62955391,62958919,62984876,63010111,63021991,63033799,63196197,63311937,63323646,63380234,63400865,63418065,63576814,63622878,63889989,63948537,64480446,64516529,64631276,64662630,64850252,64902921,65238229,65354406,65489109,65506412,65511434,65598270,65943212,65962149,65977888,66146694,66169874,66270476,66510485,66597452,66883614,67156632,67295220,67645936,67735442,67902476,67977477,67994354,68038900,68444876,68973472,69854334,69971488,70067276,70298642,70587185,70829934,71307794,71558642,71682476,71781568,71787752,71793029,71808914,72139749,72154145,72433772,72725406,72853102,72875465,72983301,73049505,73076492,73274901,74225124,74570181,74867225,74891276,75217569,75399081,75430145,75551211,76081038,76101678,76108630,76693394,76802732,77161065,77226092,77595156,77835457,77919472,77945361,77963225,77996234,78114824,78175505,78231242,78468137,78717924,78814952,78816242,79098369,79568105,79623350,79629194,79650476,79812582,80379897,80754264,80761221,80778314,81646680,81907445,82250642,82305136,82327749,82474892,82579052,82896697,83033354,83099372,83588114,83781609,83826476,84029361,84116945,84139274,84321350,84686834,84704622,84815285,85090184,85585772,85688972,85808129,85878794,86093642,86197461,86329397,86584974,86623269,86628242,87089792,87142569,87232025,87302110,87450558,87592677,87659406,87879177,88077705,88130049,88417030,88419737,88542185,88666821,88770092,88774025,88974476,89041034,89286065,89544725,89840670,89929745,89938664,90159454,90503276,90516174,90824020,90848547,91246805,91277642,91330356,91852515,92074037,92166470,92593278,92732492,92874921,93197470,93384584,93541394,93555870,93734642,93810606,93949552,94164725,94470334,94845932,95274545,95481726,95548020,95716581,95726457,95822354,95830048,95915594,96130952,96346892,96564242,97478642,97542476,97573065,97750154,97848537,97943797,97976016,98009225,98039276,98110154,98288934,98531705,98868104,98903701,99000074,99669521,99792928,99962354,...,337085419573660394096292096884492001949849003495448720233500466801952079093383268753934916788729803415308694227305055323575138852616479698376356563833688772426113329355351682784058500951147072318403737842105934479796372126296281284544610826199094834906802073514228674024980680699412730804399174672370965906210002865108556019487380473207844640761417269865665452233394150459992878346442797124006676106496809751877206619464295020299004636004013536897716256295339730731980416419246400004613502779239385671632575123912304499588957673091391898387140381811643781253549112405094130690676897903536943314047925384832566608961911521685721192999944278888734886349507701377086016927112276269845102813745244438604713427881534857826727200093361812073474254126414605988962336119533991527879207643383801063022329792982209526327903541140458713119793944471727984097436048845940646558442155790864526158058502278055292052110808393718277542802748013627310877644881767119315740707429877412168830797874574619422452532738288591890180446322338602906493039376361571131243472044948543715963751369167890325295801863037017027789412125304594193970342492941496372102214416749161687085835852058933102642616884048449265127222399670974058133126093550614249149004198182261243873084741482483926341451403557367448823445379012841479178659846197573658031240900665158939508177356498377446606281966631782048247970045989359853991499790597695158548544693930732350667569088115357762693113686672946280308696257236667240952669034923601049259283115385334068056855690101154743761777019895265576749154721941427155307885492662822731799671639985360778220321243358562041055865100302994402030638729789570988556166375533115801612413977863555195308141213438740165758589753748912393707424337664637658454515802418098089317027596710631662188458505663924692383787277070487412274214766656389301679977433070413338944134547558592252750982962820177060778420984288770645943216366414047197698163307077850074293077263918920832939276576647221300399617525993177357062668076935523902769710639369528061948928670066582443129929902656991065372302484133820478125243784460011384123301581720336772769407305420817247515837688281807521115828792896222011893303326224169812690985454019311108781464605129608609894308909167972266948533278178160780491899468853322119025989822441718255620141661614128254374142375978172635649246215773423225127223238715052210377599853825939125616527474308816196027354275776597281594519275322418442491134077158329815512416339706734094779619322584126753862008132295011204613108164}
15881 13253141782525123274660035862948154634182774169218977828819934397: {15881,63508,903963,1348015,1617618,1918939,2886338,2894511,4123340,4193095,4666015,4884572,4948008,5031714,5296015,5566509,5599218,5768095,6239815,6355218,6563163,6921714,6977960,7025215,7124331,7487778,7850205,7854091,8123095,8180491,8373552,8430258,8593015,9174571,9221311,9360363,9420246,9747714,9917211,10000615,10311618,10607839,10750863,10781215,10937215,11028631,11151511,11220130,11646811,11656365,11716615,11809483,12000738,12125503,12433456,12466951,12637783,12684991,12688491,12937458,12964431,13106530,13124658,13307143,13464156,13722379,13876625,13987638,14059938,14413531,14580631,14915431,15091783,15134095,15443815,15711951,15727836,15919663,15930730,16387711,16651950,16829791,16870690,17077611,17690114,17715163,17761615,17762080,17809930,17864011,17915815,17992783,18160914,18224095,18532578,18897439,19116876,19596631,19713823,19823750,19982340,20070415,20093239,20244828,20333163,20520082,20702071,20823068,20968171,20991415,21302059,21313938,21314496,21371916,21498978,21559690,21868914,21923551,22163191,22247138,22486251,22679899,22829095,23024971,23472428,23709631,23788500,23898415,23973151,23978808,24052699,24084498,24333931,24661015,24674914,24863083,25158171,25189698,25374400,25510471,25780171,25844978,25871628,25954471,25999783,26220891,26672143,26800111,26976159,27001772,27094615,27394914,27470983,27544431,27597511,27808491,27850111,27934279,28016911,28335963,28487818,28546200,28678098,28881739,29366815,29593218,29646428,29669095,29747240,29937116,29954530,30175311,30245359,30400274,30449280,30616418,30966151,31482651,31630015,31700818,31913611,31956631,32114475,32289068,32426498,32479232,32513538,32941579,33434095,33465645,33532040,33563163,33734636,33813103,33976183,34179058,34255440,34303819,34305151,34339791,34633615,34873483,34929692,35034274,35037391,35162791,35240178,35518690,35602914,35629851,35681095,35696688,35945436,36135943,36443530,36539136,36628183,36688988,37101394,37593802,37715083,37723545,37956018,38119474,38365615,38382091,38527714,38537370,38573960,38656748,38663095,39060571,39154459,39399679,39482743,39810668,40120914,40133431,40158774,40238448,40568491,41106528,41432479,41435671,41560338,41924815,42352040,42364658,42622428,42663415,42817314,42839468,42873058,43078978,43106095,43124059,43328431,43395705,43432711,43484599,43548415,43732236,43737740,43793138,44137615,44259051,44873215,45008463,45127196,45151051,45221191,45268254,45354034,45472028,45652330,45754615,45950251,46038738,46127240,46156591,46163359,46244844,46248908,46262594,46288752,46341415,46395714,46591531,46749531,46781095,47042263,47074015,47190631,47385451,47413234,47646045,47729098,48102572,48136651,48256591,48402031,48559303,48559978,48856178,48974095,49285772,49310119,49650283,49737751,49899560,50127116,50140015,50151458,50309778,50822448,50974711,51049879,51196098,51416551,51448615,51576703,51727314,51884095,51893145,51970178,52074846,52232936,52258098,52412840,52468783,52485288,52871371,52965138,53109514,53227339,53337883,53841068,53847858,53878690,54036802,54075991,54123274,54782796,54814863,54875612,54905538,55036748,55066615,55126711,55352688,55609698,55931215,55967311,56137005,56137314,56488818,56723839,56837378,56870059,56877932,57089384,57175254,57689391,57730652,57927531,58086415,58762053,58768914,58964445,59045949,59190194,59295031,59706434,59879472,59942636,60168018,60221314,60271423,60351788,60507658,60520940,60768363,60858514,61199240,61225052,61252939,61738338,61942863,61943095,62046730,62260914,62271774,62302783,62644971,62808872,62814283,62895408,63111963,63578091,63584191,64085671,64225557,64275663,64498015,64550098,64550443,64654428,64781095,64960040,65175199,65419112,65771311,65895771,65941063,66079938,66089420,66457351,66559330,67117458,67364406,67570591,67830943,67884415,67918114,68179538,68186983,68208919,68345791,68350471,68420271,68717960,68727415,68825131,68849145,68963083,69020671,69189583,69428815,69559039,69559131,69703698,69752071,69794540,69954825,69989215,70065874,70301839,70659981,70688815,70692591,70757334,70959991,71053930,71108095,71213659,71440845,71644940,71744983,72016994,72378331,72531692,72625128,72863191,73080045,73196299,73234892,73439088,73596501,74171815,74240863,74331714,74439991,74453911,74456076,74618480,74684551,74960191,75004015,75175771,75530530,75902338,75927458,75934891,76153771,76203568,76664095,77073883,77307705,77397618,77481151,77516578,77737314,77767615,77952048,78111154,78366668,78475611,78661543,78696331,78731095,78912363,79091083,79307304,79340299,79528748,79676431,79871196,80407772,80629471,80789095,80873071,81061058,81062815,81095179,81190891,81358282,81461298,81564871,81703269,81711511,81883015,82177282,82205858,82257079,82317943,82406731,82429015,82461552,82472360,82472898,82613983,82618974,82746871,82838095,83186959,83232363,83246815,83314578,83753448,83851292,83945790,83987058,84114583,84119025,84186631,84261596,84415916,84431528,84557420,84826578,84830504,84878095,85048625,85186652,85264716,85329714,85403599,85556095,85729014,85857643,85973928,86006239,86216840,86415663,86509591,86537228,86672623,86746279,86958379,87139208,87318812,87464360,87477058,87480091,87584095,87696054,87949532,87965119,88195592,88235179,88612714,88954183,89006178,89178152,89220717,89542176,89603095,89726960,89734690,90004818,90086983,90099211,90542215,90636636,90698114,91068194,91222879,91345615,91795474,91890859,91996914,92023131,92217511,92257642,92679211,92769246,92781405,93044271,93081511,93139112,93247851,93321138,93499471,93591218,93614095,93822751,94060011,94222629,94439912,94477314,94796251,94985469,95070351,95365221,95434317,95446738,95707279,96003415,96093019,96186332,96532615,96685783,96720669,96946914,96967208,96993945,97275378,97311068,97399340,97643530,97699868,98031609,98151391,98259618,98267151,98397405,98518690,98606818,98914818,98966832,99220041,99254811,99266551,99405714,99426908,99563095,99651871,99896178,...,505628129360490591144438145326738002924773505243173080350250700202928118640074903130902375183094705122963041340957582985362708278924719547564534845750533158639169994033027524176087751426720608477605606763158901719694558189444421926816916239298642252360203110271343011037471021049119096206598762008556448859315004297662834029231070709811766961142125904798498178350091225689989317519664195686010014159745214627815809929196442530448506954006020305346574384443009596097970624628869600006920254168859078507448862685868456749383436509637087847580710572717465671880323668607641196036015346855305414971071888077248849913442867282528581789499916418333102329524261552065629025390668414404767654220617866657907070141822302286740090800140042718110211381189621908983443504179300987291818811465075701594533494689473314289491855311710688069679690916707591976146154073268910969837663233686296789237087753417082938078166212590577416314204122020440966316467322650678973611061144816118253246196811861929133678799107432887835270669483507904359739559064542356696865208067422815573945627053751835487943702794555525541684118187956891290955513739412244558153321625123742530628753778088399653963925326072673897690833599506461087199689140325921373723506297273391865809627112223725889512177105336051173235168068519262218767989769296360487046861350997738409262266034747566169909422949947673072371955068984039780987249685896542737822817040896098526001353632173036644039670530009419420463044385855000861429003552385401573888924673078001102085283535151732115642665529842898365123732082912140732961828238994234097699507459978041167330481865037843061583797650454491603045958094684356482834249563299673702418620966795332792962211820158110248637884630623368590561136506496956487681773703627147133975541395065947493282687758495887038575680915605731118411322149984583952519966149605620008416201821337888379126474444230265591167631476433155968914824549621070796547244960616775111439615895878381249408914864970831950599426288989766035594002115403285854154565959054292092923393005099873664694894853985486598058453726200730717187865676690017076184952372580505159154110958131225871273756532422711281673743189344333017839954989336254719036478181028966663172196907694412914841463363751958400422799917267241170737849203279983178538984733662577383430212492421192381561213563967258953473869323660134837690834858072578315566399780738908688424791211463224294041031413664895922391778912983627663736701115737494723268624509560101142169428983876190130793012198442516806919662246}
15882 13311344921551425981791064654515572224346819533269084954646611564: {79385,95262,364757,933557,1154057,1205284,1248437,1719257,2156824,2244878,2344217,2375381,2426427,2622302,2810798,3120917,3306581,3375422,3563342,3646217,3738677,3769481,3859348,4107797,4126238,4329507,4383881,4687838,4873097,5147381,5154175,6026777,6105715,6179102,6185010,6328457,6509081,6597344,6659381,6708952,6779477,6839477,7291502,7326858,7422012,7465624,7476398,7547571,7556981,7676117,7824857,7845758,8003081,8032757,8398827,8473624,8624597,8713097,8722450,8750884,9066377,9228952,9359897,9447797,9499108,9532827,9683918,9769481,9983704,10380917,10382571,10466940,10757657,10879274,10962062,11104217,11164736,11231667,11240344,11248277,11363381,11507081,11870702,12194057,12365081,12478937,12480484,12560328,12645387,12956318,12996952,13222948,13748824,14130369,14227337,14334484,14395742,14621571,14754158,14756981,15062297,15311381,15421877,15467427,15469262,15541820,15587381,15725081,15835097,16000984,16004078,16301237,16574357,16656137,16830195,16917988,16955381,17249944,17285908,17499544,17793497,17952208,18001107,18008537,18130382,18276617,18650184,18746584,18810377,18834542,18836981,19208597,19235081,19406187,19659795,19686987,19711502,19886462,20196234,20705417,20939381,20949268,20970448,20981457,21043157,21089907,21198581,21327881,21482777,21801518,22202600,22329557,22493582,22584437,22770148,22863881,23355422,23591754,23896095,24042302,24214552,24221657,24395957,24520217,24710104,24897662,24977925,25306035,25359881,25482581,25489168,25727381,25919342,26028835,26214581,26238857,26535171,26643120,26714895,26993104,27110884,27155417,27179381,27241371,27273518,27514037,27752117,27778958,27798867,27799637,28115198,28390937,28418584,28419328,28495888,28665304,28675314,28743317,29158552,29287502,29303381,29340535,29558537,29651081,29735625,29973510,29981668,30120542,30134837,30249497,30367242,30780123,30887897,31115438,31234602,31718000,31970907,31971744,32057874,32112664,32168117,32248467,32339535,32433902,32762078,32803371,32809481,33370707,33544228,33586264,33752215,33921077,34007381,34231742,34436981,34495504,34719038,34884617,34961188,35202197,35208642,35580917,35682750,35706581,35790197,35851022,35915381,35968212,36126747,36516377,36526552,36725908,36815678,36824597,36967817,37012371,37058035,37077988,37184050,37421395,37435637,37615598,37678037,37738457,37781284,37784547,38061600,38237464,38278997,38358581,38411918,38767467,38807442,39049481,39245081,39457624,39459317,39520718,39807797,40233748,40287497,40361335,40502658,40599040,40856537,41092371,41250581,41405102,41511317,41641097,41788937,41915050,41917877,41976868,42168295,42174581,42356981,42731727,42819300,42881417,42959582,42989081,43017147,43060697,43256981,43351384,43423118,43662115,43681877,43857557,44049881,44154377,44327897,44389827,44469642,44483381,44499662,44586677,44620860,44652878,44750884,44826581,44905674,44931795,45234197,45352217,45402677,45600411,45653897,45673920,45703819,45786388,45861235,45924627,46183817,46631582,46818581,46915157,46963337,46986904,47075477,47470552,47506468,47551227,47595584,47677397,47911817,47927248,47927381,48217450,48252377,48298517,48320935,48433602,48604277,48639747,48718848,48735278,48770307,49071881,49517081,49722377,49763335,49953211,50257397,50298060,50456981,50601954,50608024,51101717,51251822,51268587,51308297,51383160,51635081,51783317,51837902,51917237,52037081,52156277,52182677,52394538,52421678,52551411,52691081,52703957,52768217,52860267,52883381,52940050,53124377,53187317,53275097,53278035,53404371,53437742,53494552,53545032,53549335,53651264,53744777,53830037,53866457,53918154,54011417,54071477,54250457,54303038,54368777,54404117,54533081,54544757,54665295,54672175,54707381,54808704,54877022,54957763,54993881,55020158,55033482,55286537,55386581,55413784,55448702,55591262,55652091,55715381,55983881,56205557,56351381,56390703,56408995,56443598,56505881,56698997,56829904,56840035,56849417,56934027,57017717,57089752,57179211,57241723,57431438,57433097,57489881,57659050,57686357,57760277,57791571,57806055,57811135,57851957,57852638,57860940,57985122,57987977,58041881,58219481,58228277,58254617,58309648,58385237,58402517,58436981,58531097,58551758,58565081,58657877,59012068,59107337,59217881,59334581,59457077,59494937,59592437,59636981,59673881,59716002,59717897,59790617,59826677,59898197,60011284,60038837,60101081,60128215,60181371,60238161,60243797,60263897,60357672,60505877,60563081,60749081,60833417,60839381,60892697,60956981,61160597,61182581,61258517,61384984,61421081,61451657,61466837,61521881,61541657,61607215,61659792,61709237,61718336,61721342,61736981,61809557,61831817,61849481,61860952,61910297,61914581,61940117,61998581,62075417,62095157,62209397,62253077,62316437,62332708,62340507,62357237,62374450,62387081,62400137,62435381,62499977,62529497,62538197,62586137,62626517,62658895,62660057,62732297,62819381,62827157,62889737,62935577,62936981,62968277,62974217,62987657,62996981,63002837,63026357,63036377,63037577,63045557,63046937,63054857,63058997,63059417,63528060,63546987,63747422,63933642,64225971,64259202,64282238,64309587,64548782,64618467,64947518,65080142,65212622,65291170,65516050,65598354,65606610,65689707,66004478,66678122,67079704,67301335,67690794,67763264,67831982,67902381,67961438,68031051,68208042,68261464,68478495,68594515,68795935,68969752,69058107,69190860,69367266,69373362,69393891,69433128,69503678,69593571,69677464,69980384,70393742,70620184,70839571,71025182,71097415,71119851,71361730,71593647,71778158,71797144,72153858,72163315,72277262,72774062,72839967,73043728,73086484,73207384,73284267,73803584,73877587,73928658,74005982,74128382,74146264,74226691,74849340,74849752,74859758,74928295,75190674,75223502,75227187,75318424,75439735,75464667,75651175,75826862,76067198,76233672,76246807,76426622,76499050,76531315,76546142,76665518,76794147,76919188,77171143,77236708,77590971,77955267,78030883,78112269,78349404,78358552,78387147,78511090,78619260,78727932,79022798,79447707,79664271,79839296,79949582,80224024,80524142,80761602,80771787,80818035,80981198,81024484,81055203,81184911,81200050,81322478,81496723,81549278,81773890,82174194,82295851,82313418,82317784,82358307,82555122,82590484,82611775,82634923,83014552,83029032,83414547,83526628,83860544,84149284,84205971,84663998,84733227,84770788,84846307,84991022,85256067,85316898,85634076,85700884,85762881,85897450,86071742,86205904,86595978,87243175,87243902,87665822,87861028,88106584,88153371,88710542,88761211,88785291,89489944,89556175,89559651,89740862,89819208,89913954,90252027,90331971,90453518,90527682,90664615,90761487,90781410,91159118,91227028,91259342,91287771,91459358,91543615,91725931,91798860,91837578,92607507,92735071,92745508,92938264,93070095,93114679,93273100,93391371,93407661,93621518,94199102,94213308,94256788,94343112,95244542,95254460,95807438,95903203,96179822,96272558,96457598,96825147,96833504,96981642,97440060,97918784,97958335,98128668,98822059,98987678,99108952,99119907,99134130,99274768,99339902,99410935,99838995,...,758442194040735886716657217990107004387160257864759620525376050304392177960112354696353562774642057684444562011436374478044062418387079321346802268625799737958754991049541286264131627140080912716408410144738352579541837284166632890225374358947963378540304665407014516556206531573678644309898143012834673288972506446494251043846606064717650441713188857197747267525136838534983976279496293529015021239617821941723714893794663795672760431009030458019861576664514394146955936943304400010380381253288617761173294028802685124075154764455631771371065859076198507820485502911461794054023020282958122456607832115873274870164300923792872684249874627499653494286392328098443538086002621607151481330926799986860605212733453430110136200210064077165317071784432863475165256268951480937728217197613552391800242034209971434237782967566032104519536375061387964219231109903366454756494850529445183855631630125624407117249318885866124471306183030661449474700983976018460416591717224177379869295217792893700518198661149331752906004225261856539609338596813535045297812101134223360918440580627753231915554191833288312526177281935336936433270609118366837229982437685613795943130667132599480945887989109010846536250399259691630799533710488882060585259445910087798714440668335588834268265658004076759852752102778893328151984653944540730570292026496607613893399052121349254864134424921509608557932603476059671480874528844814106734225561344147789002030448259554966059505795014129130694566578782501292143505328578102360833387009617001653127925302727598173463998294764347547685598124368211099442742358491351146549261189967061750995722797556764592375696475681737404568937142026534724251374344949510553627931450192999189443317730237165372956826945935052885841704759745434731522660555440720700963312092598921239924031637743830557863521373408596677616983224976875928779949224408430012624302732006832568689711666345398386751447214649733953372236824431606194820867440925162667159423843817571874113372297456247925899139433484649053391003173104928781231848938581438139385089507649810497042342280978229897087680589301096075781798515035025614277428558870757738731166437196838806910634798634066922510614784016499526759932484004382078554717271543449994758295361541619372262195045627937600634199875900861756106773804919974767808477100493866075145318738631788572341820345950888430210803985490202256536252287108867473349599671108363032637186817194836441061547120497343883587668369475441495605051673606242084902936764340151713254143475814285196189518297663775210379493369}
15883 13369801668489398973323587239641923908499024933591282516214911470: {31762,127016,142893,1506605,1807926,1887221,2267837,2696030,3235236,3367317,3837878,3933453,4216197,4824185,5063133,5345013,5772676,5789022,5870333,6189357,6532421,7031757,7414421,8075333,8246680,8386190,8735741,9268653,9277515,9332030,9667853,9769144,9835301,9896016,10063428,10592030,10897913,10937253,10938605,10990287,11133018,11198436,11214597,11372333,11536190,11566613,11768637,11873885,12030221,12326117,12479630,12536537,12710436,13083675,13126326,13465373,13764413,13843428,13955920,14000861,14050430,14124581,14224877,14248662,14525877,14975556,14991353,15093701,15312101,15600605,15643013,15700410,15708182,16217357,16246190,16318911,16360982,16403261,16443093,16528685,16747104,16860516,16971641,17034173,17186030,17806053,17918105,18315677,18349142,18442622,18720726,18840492,19427275,19434477,19495428,19834422,19889753,20001230,20109581,20623236,21073397,21112013,21147485,21187733,21201941,21215678,21501726,21562430,21593613,21607385,21621341,21642521,21874430,21902117,22057262,22131237,22303022,22333337,22440260,23203893,23293622,23312730,23433230,23618966,24001476,24006117,24055757,24251006,24866261,24866912,24933902,25082141,25142573,25275566,25369982,25376982,25513733,25874916,25928862,26186585,26213060,26249316,26506373,26614286,26803517,26928312,27195573,27444758,27753250,27975276,28020473,28098581,28119876,28251813,28425917,28462685,28827062,29058581,29161262,29208653,29387981,29567253,29829693,29830862,29860781,30183566,30268190,30294351,30674141,30844277,30887630,31423902,31455672,31839326,31861460,31960733,32702277,32775422,33286517,33303900,33457781,33659582,33740373,33741380,33888605,33980501,34155222,34463021,34525421,35033133,35380228,35387631,35430326,35523230,35524160,35619860,35728022,35831630,35978573,35985566,36063453,36321828,36349181,36448190,37065156,37162901,37346493,37477085,37794878,37932461,37973381,38233752,38386997,38628077,38879013,38930957,39159437,39193262,39404717,39427646,39647500,39964680,40140830,40186478,40489656,40540877,40666326,40910277,40937381,41040164,41113541,41404142,41536733,41646136,41668437,41930285,41936342,41982830,42172797,42602873,42604118,42627876,42628992,42743832,42997956,43012971,43119380,43701485,43737828,43847102,43931253,44282021,44326382,44494276,44960265,44972502,45180813,45359798,45360653,45442013,45550863,45658190,45907385,45956093,46049942,46086941,46162493,46347485,46506581,46563257,46673157,46807733,46851903,46944856,47226605,47419262,47577000,47796830,47946302,47957616,48086811,48105398,48168996,48487061,48650853,48667862,48965657,49143117,49322030,49349828,49492613,49726166,49953533,50286557,50292185,50316342,50379396,50748800,50964797,51020942,51347613,51560342,51689956,51743256,51908942,51999566,52078557,52441782,52471085,52812963,53001461,53344286,53360333,53524125,53540117,53569637,53600222,53711861,53776533,53933837,53952318,54003544,54128333,54189230,54556697,54789828,54941966,55088862,55133717,55195022,55223517,55616982,55700222,55776075,55868558,55938605,56033822,56423397,56523161,56584781,56671926,56975636,57092400,57232985,57356196,57465557,57617877,57763478,57922541,58211163,58641581,58646681,58694741,58733630,59186436,59281077,59292856,59302613,59338190,59383085,59494480,59728781,59874232,59909060,60348533,60350622,60490718,60753987,60800548,60898560,60967781,61232836,61792661,61932302,62107653,62310701,62822501,62872575,62905037,62965302,63260030,63401636,63467321,63827222,63913262,64056461,64228950,64439373,64578136,64590317,64852996,64877981,64958464,65027076,65134677,65271677,65493533,65779673,65883158,65903621,66270917,66465797,66704463,66749493,66868190,66931290,66979317,67064080,67126326,67358511,67469272,67626206,67952366,68354477,68358116,68510880,68563733,68607638,68610302,68679582,69267230,69545813,69699173,69746966,69859384,69947373,70068548,70074782,70130297,70196021,70310777,70325582,70480356,70697261,71037380,71205828,71259702,71362190,71393376,71553581,71680397,71754101,71890872,72028061,72271886,72326175,72387533,72389837,72637733,72650403,72887060,73078272,73102917,73256366,73377976,73535957,73731197,73765085,74202788,74969813,75014105,75144953,75187604,75430166,75447090,75902931,75912036,75944597,76163453,76208981,76238948,76417493,76731230,76764182,76877733,77055428,77074740,77093261,77147920,77313496,77326190,77756853,77915885,77958197,78121142,78303701,78308918,78591807,78632517,78799358,78965486,79410075,79621336,79686557,79856153,80156613,80241828,80266862,80317548,80476896,80569421,80877231,80883353,81136982,81202421,81320981,81454557,81575237,82206137,82213056,82315533,82530237,82550223,82864958,82871342,83120676,83173053,83197637,83295941,83386893,83779037,83849630,83862473,84086477,84161597,84382397,84665397,84704080,84729316,85244856,85326830,85414457,85634628,85678936,85746116,85853693,86147157,86157956,86212190,86248118,86488575,86504717,86576117,86656862,86720333,86778957,86791410,86865422,86969198,86977683,87096830,87464472,87475480,87491213,87586276,87654617,87827637,87929981,88246397,88275230,88302797,88518102,88844093,89574003,89746430,90005621,90016926,90254392,90297221,90302102,90442382,90536508,90693533,90708068,90720677,90944056,91234781,91304660,91358105,91509230,91568633,91900502,92077476,92254480,92313182,92326718,92481797,92489688,92497816,92525188,92577504,92582013,92682830,92728781,92791428,93183062,93499062,93561675,93562190,93780101,94084526,94148030,94381262,94584173,94770902,94826468,95038181,95289893,95292090,95458196,95621133,95719517,95839757,95900463,96148985,96205144,96218381,96273302,96388803,96423357,96513182,96545885,96804062,96823173,96880541,97118606,97119956,97200341,97389773,97421277,97620213,97712356,97818933,97936755,97948190,97984901,98241113,98274075,98397531,98409915,98571544,98620238,98964341,99006717,99279293,99300566,99419381,99475502,99551333,99799120,...,1011256258720981182288876290653476005849547010486346160700501400405856237280149806261804750366189410245926082681915165970725416557849439095129069691501066317278339988066055048352175502853441216955211213526317803439389116378888843853633832478597284504720406220542686022074942042098238192413197524017112897718630008595325668058462141419623533922284251809596996356700182451379978635039328391372020028319490429255631619858392885060897013908012040610693148768886019192195941249257739200013840508337718157014897725371736913498766873019274175695161421145434931343760647337215282392072030693710610829942143776154497699826885734565057163578999832836666204659048523104131258050781336828809535308441235733315814140283644604573480181600280085436220422762379243817966887008358601974583637622930151403189066989378946628578983710623421376139359381833415183952292308146537821939675326467372593578474175506834165876156332425181154832628408244040881932632934645301357947222122289632236506492393623723858267357598214865775670541338967015808719479118129084713393730416134845631147891254107503670975887405589111051083368236375913782581911027478824489116306643250247485061257507556176799307927850652145347795381667199012922174399378280651842747447012594546783731619254224447451779024354210672102346470336137038524437535979538592720974093722701995476818524532069495132339818845899895346144743910137968079561974499371793085475645634081792197052002707264346073288079341060018838840926088771710001722858007104770803147777849346156002204170567070303464231285331059685796730247464165824281465923656477988468195399014919956082334660963730075686123167595300908983206091916189368712965668499126599347404837241933590665585924423640316220497275769261246737181122273012993912975363547407254294267951082790131894986565375516991774077151361831211462236822644299969167905039932299211240016832403642675776758252948888460531182335262952866311937829649099242141593094489921233550222879231791756762498817829729941663901198852577979532071188004230806571708309131918108584185846786010199747329389789707970973196116907452401461434375731353380034152369904745161010318308221916262451742547513064845422563347486378688666035679909978672509438072956362057933326344393815388825829682926727503916800845599834534482341475698406559966357077969467325154766860424984842384763122427127934517906947738647320269675381669716145156631132799561477817376849582422926448588082062827329791844783557825967255327473402231474989446537249019120202284338857967752380261586024396885033613839324492}
15884 13428513119727137892817642821967927066611442437650689814713857934: {47643,111139,158770,190524,729514,965203,1059739,1531339,1867114,2308114,2375683,2410568,2469139,2496874,2711889,3438514,3492403,3769963,4044045,4313648,4323139,4415083,4489756,4688434,4750762,4852854,5244604,5621596,5756817,5785603,6241834,6613162,6690283,6750844,7050139,7126684,7215845,7292434,7477354,7538962,7718696,8033803,8215594,8252476,8548001,8659014,8683533,8743723,8767762,8832139,9273139,9361123,9375676,9746194,9799963,10294762,10308350,10498363,12053554,12211430,12224203,12358204,12370020,12395203,12579285,12656914,12821443,13018162,13194688,13318762,13417904,13558954,13678954,13998045,14005339,14583004,14653716,14842339,14844024,14931248,14952796,15095142,15113962,15341083,15352234,15649714,15691516,15754723,15888045,16006162,16065514,16084339,16494739,16699527,16797654,16947248,16984843,17228923,17249194,17304285,17426194,17444900,17501768,17634283,18037843,18132754,18457904,18719445,18719794,18839563,18895594,18998216,19065654,19237723,19317139,19367836,19538962,19689489,19967408,20028643,20578003,20761834,20765142,20890339,20933880,20968243,21075645,21356683,21372993,21515314,21758548,21924124,22128163,22208434,22329472,22463334,22480688,22496554,22726762,23014162,23550615,23562273,23649523,23741404,24369285,24388114,24541473,24622963,24730162,24957874,24960968,25068139,25120656,25290774,25363483,25779045,25912636,25993904,26242603,26445896,27183283,27497648,27523713,27663933,27898603,28050325,28081089,28260738,28395043,28454674,28668968,28791484,29243142,29508316,29513962,29655403,29751633,30001845,30124594,30139243,30622762,30687883,30843754,30934854,30938524,31083640,31096339,31164163,31174762,31450162,31670194,31771339,31823517,32001968,32008156,32039323,32252589,32343645,32602474,32766325,32811645,33085893,33099739,33148714,33165403,33312274,33454533,33492643,33660390,33835976,33910762,34077139,34463563,34499888,34571816,34719739,34940433,34969095,34999088,35149845,35428449,35586994,35670139,35732923,35904416,36002214,36017074,36260764,36376509,36440369,36542563,36553234,37157083,37300368,37400853,37493168,37620754,37669084,37673962,37824739,37913349,38054973,38065473,38417194,38470162,38812374,38893293,39251203,39319590,39373974,39423004,39772924,39826825,39833323,39921429,40236523,40392468,40408243,40465339,41076749,41167137,41257123,41410834,41536483,41592139,41629875,41814043,41878762,41898536,41924563,41940896,41962914,42086314,42176725,42179814,42199603,42397162,42655762,42744283,42965554,43013923,43240593,43441603,43603036,43706563,43741893,44074483,44225285,44283139,44405200,44490643,44524825,44593963,44659114,44746293,44851003,44987164,45168874,45275349,45309139,45402285,45540296,45727762,46306339,46331445,46551139,46710844,46987243,47083363,47135853,47183508,47253101,47701123,47758989,47792190,47935483,47982139,48084604,48429104,48443314,48718843,48791914,49040434,49163133,49420208,49559375,49789339,49795324,49955850,50223139,50489373,50612070,50719762,50818363,50860339,50965162,50978336,51232833,51300205,51454762,51684739,51838684,51881249,51886339,52057670,52389953,52429162,52477714,52713403,53070342,53145489,53209483,53284723,53284845,53286240,53429790,53592033,53747445,53899225,53978349,53986208,54221768,54310834,54358762,54378763,54482742,54547036,54554803,54672285,55028074,55072123,55504234,55540339,55557916,55597734,55599274,55617845,55704139,55736683,56230396,56505869,56649139,56692317,56770243,56781874,56837168,56838656,56991776,57243139,57330608,57350628,57415723,57486634,57501043,57780763,58239763,58317104,58448563,58575004,58606762,58681070,58789893,59035613,59117074,59119243,59141469,59302162,59471250,59559739,59582203,59867683,59910523,59947020,59963336,60211245,60241084,60269674,60279717,60283123,60498994,60499339,60613603,60734484,60761923,60852283,60940843,60999489,61126961,61129339,61293139,61540243,61560246,61613683,61687285,61727443,61755163,61775794,61863163,61928323,61953883,62106213,62113003,62170963,62182339,62230876,62469204,62490139,62535139,62578339,62586763,62689723,62799739,62886139,62904513,62939203,62952163,62972323,62974245,63024739,63027403,63069739,63070603,63075283,63436000,63906177,63941814,63943488,64115748,64205729,64225328,64336234,64496934,64612445,64679070,64867804,65524156,65606742,65618962,65770653,66489573,66741414,67088456,67172528,67458753,67504430,67649309,67842154,68014762,68039697,68463484,68487285,68873962,68991008,69074913,69438076,69668669,69769234,69922376,70404394,70417284,71128893,71161834,71219545,71365500,71413162,71580394,71695245,71702044,71830762,71919453,71936424,72158097,72253494,73001793,73032754,73053104,73451816,73631356,73649194,73935634,73983045,74024742,74116070,74155976,74368100,74589249,74842790,74871274,74886325,74969069,75231196,75356074,75474513,75476914,75562568,75569094,76000685,76123200,76474928,76531413,76541045,76557994,76717162,76823836,77340513,77534934,77614884,77863413,77999349,78098962,78490162,78662673,78915248,78918634,78972593,79041436,79252045,79576049,79615594,80016429,80400333,80467496,80574994,80722670,80928477,80935589,81005316,81066245,81198080,81283845,81713074,82184742,82412949,82501162,82633293,82792533,82810204,83022634,83282194,83425473,83550333,83577874,83719493,83802837,83830100,83835754,83953736,84050733,84179501,84336590,84349162,84713962,85007889,85447645,85463454,85638600,85762834,85919164,85978162,86034294,86121394,86250101,86513962,86645217,86702768,86846236,87324230,87363754,87585685,87715114,87722453,88099762,88100445,88308754,88655794,88779654,88796725,88939284,88966762,88999324,89007285,89173354,89241720,89305756,89501768,89653162,89811348,89863590,90468394,90525933,90704434,90736077,90805354,91108825,91200822,91307794,91347840,91407638,91572776,91722470,91849254,92367634,92753485,92898453,93263164,93637162,93830314,93926674,93973808,93984505,94150954,94221869,94447953,94890045,94941104,95012936,95102454,95191168,95298685,95354794,95740833,95823634,95854496,95854762,95869893,96032321,96314309,96319285,96343425,96434900,96504754,96597034,96641870,96867204,97208554,97258733,97279494,97437696,97470556,97540614,98143762,98824737,99034162,99444754,99526670,99536381,99906422,...,1516884388081471773433314435980214008774320515729519241050752100608784355920224709392707125549284115368889124022872748956088124836774158642693604537251599475917509982099082572528263254280161825432816820289476705159083674568333265780450748717895926757080609330814029033112413063147357288619796286025669346577945012892988502087693212129435300883426377714395494535050273677069967952558992587058030042479235643883447429787589327591345520862018060916039723153329028788293911873886608800020760762506577235522346588057605370248150309528911263542742131718152397015640971005822923588108046040565916244913215664231746549740328601847585745368499749254999306988572784656196887076172005243214302962661853599973721210425466906860220272400420128154330634143568865726950330512537902961875456434395227104783600484068419942868475565935132064209039072750122775928438462219806732909512989701058890367711263260251248814234498637771732248942612366061322898949401967952036920833183434448354759738590435585787401036397322298663505812008450523713079218677193627070090595624202268446721836881161255506463831108383666576625052354563870673872866541218236733674459964875371227591886261334265198961891775978218021693072500798519383261599067420977764121170518891820175597428881336671177668536531316008153519705504205557786656303969307889081461140584052993215227786798104242698509728268849843019217115865206952119342961749057689628213468451122688295578004060896519109932119011590028258261389133157565002584287010657156204721666774019234003306255850605455196346927996589528695095371196248736422198885484716982702293098522379934123501991445595113529184751392951363474809137874284053069448502748689899021107255862900385998378886635460474330745913653891870105771683409519490869463045321110881441401926624185197842479848063275487661115727042746817193355233966449953751857559898448816860025248605464013665137379423332690796773502894429299467906744473648863212389641734881850325334318847687635143748226744594912495851798278866969298106782006346209857562463697877162876278770179015299620994084684561956459794175361178602192151563597030070051228554857117741515477462332874393677613821269597268133845021229568032999053519864968008764157109434543086899989516590723083238744524390091255875201268399751801723512213547609839949535616954200987732150290637477263577144683640691901776860421607970980404513072504574217734946699199342216726065274373634389672882123094240994687767175336738950882991210103347212484169805873528680303426508286951628570392379036595327550420758986738}
15885 13487480376355439943778745349177198034609869364129393470321958055: {63524,238155,254032,285786,1094271,2109247,2680171,2800671,3013210,3462171,3615852,3745311,3774442,4535674,5157771,5392060,5612195,6470472,6555755,6734634,6753859,7026995,7032651,7126143,7279281,7675756,7866906,8432394,8438555,8908355,9362751,9648370,9919743,10126266,10315595,10690026,10938651,11216031,11308443,11545352,11578044,11719595,11740666,12323391,12342143,12378714,12927391,12988521,13064842,13151643,14063514,14417183,14619291,14828842,15205903,15314047,15442143,15447755,15462525,15856427,16150666,16493360,16623439,16772380,17471482,17523803,18080331,18142099,18228755,18317145,18537306,18555030,18557759,18664060,18690995,18985371,19066979,19271171,19335706,19527243,19538288,19590923,19614395,19670602,19792032,19978143,20126856,20338431,20518431,21184060,21444671,21547667,21795826,21806125,21840847,21874506,21877210,21980574,22266036,22396872,22429194,22642713,22670943,22744666,23028351,23072380,23133226,23140159,23474571,23537274,23696287,23715659,23747770,24009243,24060442,24098271,24209795,24289211,24652234,24959260,25073074,25085347,25196481,25420872,25786703,25873791,26139291,26167350,26252652,26564843,26930746,27028667,27071939,27198185,27199131,27405155,27528826,27686856,27911840,28001722,28079691,28100860,28249162,28343391,28429531,28449754,28497324,28598481,28669259,29051754,29308443,29606479,29676755,29951112,29982706,30187402,30250339,30440819,30624202,31142751,31147713,31201210,31286026,31400820,31416364,32272971,32287331,32390795,32434714,32492380,32637822,32721964,32789599,32806522,32886186,32949983,33057370,33312651,33494208,33695001,33721032,33744831,33943282,34068346,34090143,34313843,34372060,34521243,34882319,35046299,35612106,35631259,35836210,35989355,36582171,36612803,36631354,36637499,36661219,36698284,36885244,36885395,37095243,37436811,37441452,37680984,37936161,37965611,37978207,38673155,38854550,38868954,38990856,39070559,39338611,39668844,39779506,39847759,40002460,40010195,40087883,40219162,40694627,40931651,41246472,41535007,42146794,42224026,42294970,42375466,42391107,42403882,42431356,42682011,42958123,43003452,43124860,43187226,43214770,43242682,43285042,43748860,43804234,43864713,44114524,44262474,44270943,44606044,44666674,44880520,45186891,45325955,45366451,45915203,45934143,46265631,46402281,46407786,46569211,46587244,46625460,46762143,46866460,47086355,47175243,47237932,47397503,47444047,47505291,48002952,48012234,48111514,48502012,48869147,48903711,49278755,49322171,49716155,49723071,49732522,49733824,49867804,49968411,50164282,50217563,50285146,50490585,50551132,50739964,50753964,50866143,51027466,51749832,51857724,52373170,52426120,52467919,52482179,52498632,52614479,53012746,53228572,53380491,53607034,53634683,53856624,54003321,54025611,54391146,54503795,54829851,54884927,54889516,54962323,55506500,55950552,56040946,56197162,56233955,56239752,56431131,56503626,56510943,56851834,56925370,57625791,57654124,57705243,58117162,58218561,58322524,58388555,58417306,58702399,58775962,58979385,59060961,59134506,59236927,59266559,59308643,59659386,59661724,59721562,60105755,60358619,60367132,60536380,60588702,61182079,61348282,61688554,61775260,61917199,62116251,62244155,62818143,62847804,62911344,62944371,63129471,63269721,63309571,63475387,63500627,63595743,63678652,63722920,63921466,63983643,64270339,64448331,64566911,64798355,64886479,65404554,65550844,65878067,66117247,66279391,66573034,66607800,66872923,66915562,66988671,67319164,67480746,67482760,67753311,67777210,67961002,68183795,68251403,68310444,68591643,68842703,68926042,69038219,69050842,69279851,69447395,69708031,70066266,70287995,70409059,70760456,70775262,70860652,71046460,71048320,71239720,71456044,71663260,71688285,71957146,71971132,72126906,72643656,72664971,72698362,72881723,72896380,73187871,73215263,73218755,73459519,73560651,73740571,74130312,74325802,74692986,74703539,74933775,74954170,75301355,75589756,75864922,75918105,75946762,76079643,76334011,76447743,76467504,76773994,77182143,77256154,77758026,77788595,77861914,78086505,78159323,78314047,78318874,78386524,78643743,78681611,78716571,78809434,78855292,79111199,79295000,79605513,79929360,80126179,80144685,80281660,80372956,80979312,81081754,81084755,81332652,81466251,81538143,81724113,81820554,81874762,81905195,82080328,82227082,82542111,82634987,82808284,83073466,83083583,83136319,83256351,83292272,83306527,83336874,83396601,83398911,83755811,83789791,83804339,83860570,83872684,83873131,83965660,84208043,84345594,84563323,85172811,85205746,85208236,85255752,85257984,85487664,85579355,85995912,86025942,86229951,86238760,86797595,86906131,87402970,87475656,87694204,87862506,87910143,88021605,88564042,88652764,88675611,88953243,88988552,89206875,89627555,89920530,89945004,90361626,90404511,90719596,90721306,90732211,90748491,90755647,90884026,91101726,91316380,91814770,91912186,92039195,92099884,92173882,92324986,92340369,92663691,92694970,92702783,92960125,93013162,93056659,93126514,93346314,93615466,93699763,93703806,93889712,94038995,94453210,94838524,95154000,95593660,95892604,95912721,95915232,96029795,96173622,96210796,96337992,96504351,96745401,96974122,97018605,97301706,97335724,97931314,98152207,98286234,98410113,98428443,98644060,98699656,98708159,98801795,98985226,99452332,99724651,99907066,...,2275326582122207660149971653970321013161480773594278861576128150913176533880337064089060688323926173053333686034309123434132187255161237964040406805877399213876264973148623858792394881420242738149225230434215057738625511852499898670676123076843890135620913996221043549668619594721035932929694429038504019866917519339482753131539818194152951325139566571593241802575410515604951928838488880587045063718853465825171144681383991387018281293027091374059584729993543182440867810829913200031141143759865853283519882086408055372225464293366895314113197577228595523461456508734385382162069060848874367369823496347619824610492902771378618052749623882498960482859176984295330614258007864821454443992780399960581815638200360290330408600630192231495951215353298590425495768806854442813184651592840657175400726102629914302713348902698096313558609125184163892657693329710099364269484551588335551566894890376873221351747956657598373413918549091984348424102951928055381249775151672532139607885653378681101554595983447995258718012675785569618828015790440605135893436303402670082755321741883259695746662575499864937578531845806010809299811827355100511689947313056841387829392001397798442837663967327032539608751197779074892398601131466646181755778337730263396143322005006766502804796974012230279558256308336679984455953961833622191710876079489822841680197156364047764592403274764528825673797810428179014442623586534442320202676684032443367006091344778664898178517385042387392083699736347503876430515985734307082500161028851004959383775908182794520391994884293042643056794373104633298328227075474053439647783569901185252987168392670293777127089427045212213706811426079604172754123034848531660883794350578997568329953190711496118870480837805158657525114279236304194567981666322162102889936277796763719772094913231491673590564120225790032850949674930627786339847673225290037872908196020497706069134999036195160254341643949201860116710473294818584462602322775488001478271531452715622340116892368743777697418300453947160173009519314786343695546815744314418155268522949431491127026842934689691263041767903288227345395545105076842832285676612273216193499311590516420731904395902200767531844352049498580279797452013146235664151814630349984274886084624858116786585136883812801902599627702585268320321414759924303425431301481598225435956215895365717025461037852665290632411956470606769608756861326602420048799013325089097911560451584509323184641361492031650763005108426324486815155020818726254708810293020455139762430427442855588568554892991325631138480107}
15886 13546704544187816731573387039654972346710214816104532600240618734: {79405,95286,222278,317540,381048,428679,1311649,1405933,1459028,1782349,1930406,2119478,2157613,2344813,3062678,3734228,3739633,4016653,4519815,4616228,4751366,4821136,4935373,4938278,4993748,5423778,5574193,5661663,6028333,6480673,6740075,6803511,6841249,6877028,6984806,7539926,7737649,7826893,8088090,8538253,8627296,8646278,8830166,8979512,8980513,9156913,9376868,9420973,9501524,9594695,9705708,9947149,10034593,10101951,10102183,10489208,11243192,11513634,11571206,11800359,12197293,12483668,12648591,13226324,13380566,13501688,13895053,14100278,14147233,14253368,14431690,14472555,14584868,14954708,15077924,15149473,15189399,15437392,16035039,16067606,16305649,16431188,16504952,17096002,17122849,17318028,17367066,17447713,17487446,17535524,17610999,17664278,17852173,18013453,18415393,18546278,18568071,18722246,18751352,19492388,19597263,19599926,19847473,20589524,20616700,20789233,20965475,20996726,21095271,21566113,22243263,22335793,22641649,23325613,23330075,24107108,24225999,24228493,24422860,24448406,24527149,24716408,24740040,24790406,25158570,25313828,25642886,26036324,26207223,26294893,26389376,26440333,26480075,26637524,26835808,27117908,27357908,27450349,27521953,27805959,27807649,27832545,27996090,28010678,28092193,28798513,28840475,29003559,29166008,29288653,29307432,29505903,29684678,29688048,29862496,29905592,30189553,30190284,30227924,30532813,30682166,30704468,30874273,30942349,31199075,31299428,31349293,31383032,31509446,31619149,31776090,32012324,32131028,32168678,32355313,32554573,32620849,32693739,32811759,32815815,32970861,32989478,33399054,33595308,33643791,33894496,33969686,33996013,34116999,34457846,34498388,34608570,34699839,34852388,34889800,35003536,35126075,35149453,35268566,35305911,35591713,35621655,36075686,36090663,36265508,36403693,36915808,36978351,37020013,37081249,37438890,37439588,37447153,37609611,37679126,37689649,37791188,37930993,37996432,38131308,38290849,38350573,38475446,38634278,38735672,39077924,39251025,39270455,39378978,39934816,40057286,40396119,40615475,40902455,41156006,41293239,41523668,41530284,41780678,41867760,41936486,41968033,42002583,42078193,42151290,42352333,42373743,42515953,42570349,42674631,42713366,42745986,42895213,42965075,43030628,43517096,43577631,43696033,43848248,43854253,44256326,44376973,44416868,44428849,44658944,44738593,44926668,44961376,44974059,44993108,45281103,45453524,45652273,45752353,45872855,45936303,46028324,46106555,46801815,46882573,46929039,47101230,47123233,47124546,47299046,47457133,47482808,47693473,48114349,48160753,48652071,48738570,48776228,48956733,49082946,49209783,49245926,49297453,49329279,49460324,49475149,49586055,49739533,49915748,49921936,50003075,50088013,50136278,50241312,50517133,50581548,50726966,50914923,50980849,51102519,51188749,51353773,51558090,51825272,51987808,52201249,52398349,52485206,52891792,53039195,53168749,53206513,53319373,53418159,53754315,53906075,54055213,54366566,54447649,54658033,54686075,54934513,54947031,54995296,55047426,55143155,55273633,55307149,55327866,55757555,55797206,55962349,55994353,56089933,56100650,56162178,56521476,56558113,56619313,56790086,56909348,57337936,57474349,57582968,57782833,58028749,58136173,58234055,58281825,58303431,58425649,58486284,58528753,58583075,58706413,58831153,59016632,59027924,59047415,59310806,59427853,59496433,59503266,59519149,59669259,59851249,60003690,60042733,60248653,60249188,60268849,60278486,60328743,60388513,60563149,60627515,60676333,60859213,60930349,61186849,61245524,61375766,61442593,61687508,61845793,61869708,61877048,61911853,61915399,62038573,62167280,62192678,62237473,62328326,62334755,62344753,62349524,62385649,62519713,62528749,62738413,62855053,62894113,62900324,62909773,62914849,62965933,63001249,63004813,63068749,63075373,63086893,63091213,63188915,63220191,63336039,63340388,63424955,63442455,63542678,63563199,63605823,63647034,64003936,64016312,64078646,64505178,64687290,64780839,64822155,64864023,64927563,65204948,65532650,65623290,65706351,66171786,66199478,66297428,66330806,66393711,66535715,66624548,66909066,66985286,67000011,67320780,67671952,67821524,68154278,68611895,68927126,68999776,69143632,69383125,69439478,69611679,69880866,69938190,69998176,70299690,70856898,71173988,71340278,71465846,71808832,71820287,72004428,72018351,72034148,72067655,72167271,72521528,72753018,72880738,72903155,73085126,73106468,74314166,74577155,74598783,74600736,74801706,74986336,75241508,75246423,75338168,75347924,75427719,75458915,75649478,75670475,75826698,76109946,76130946,76541199,76834388,76940324,77219075,77624748,77786586,77864983,78497903,78502406,78559755,78639180,78747948,78846008,79519119,79545848,79598315,79653650,79666646,79842858,80410551,80473046,80784936,80816486,80930678,81586719,81938555,82153498,82334274,82514246,82821668,83072966,83184278,83259750,83628086,83757524,83797072,83849126,83881792,83925828,84061419,84148955,84172628,84295743,84353450,84359628,84399206,84755439,84794324,85277751,85311524,85388055,85488566,85931108,86027846,86362199,86481186,86883206,87175743,87206072,87413126,87483786,87625959,88148966,88163943,88450570,88566278,88575815,88701759,88808075,88810400,88981286,89049650,89187926,89318228,89320055,89489079,89492586,89579075,89582343,89702006,89951279,89963915,89974328,90337748,90457423,90550698,90618278,90804570,90883053,91080592,91120475,91455524,92022423,92532831,92612678,92662890,93102278,93421688,93974486,94166726,94271706,94367016,94487195,94506202,95402246,95517978,95584380,95870966,95882199,95964278,96169208,96858208,96886628,97437686,97583828,97983155,98080868,98106831,98326266,98569115,98840416,98941219,99118750,99578678,99590648,99707363,99859551,99911700,...,3033768776162943546866628871960428017548641031459038482101504201217568711840449418785414251098568230737778248045745497912176249673548317285387209074503198951835019964198165145056526508560323650865633640578953410318167349136666531560901497435791853514161218661628058066224826126294714577239592572051338693155890025785977004175386424258870601766852755428790989070100547354139935905117985174116060084958471287766894859575178655182691041724036121832079446306658057576587823747773217600041521525013154471044693176115210740496300619057822527085484263436304794031281942011645847176216092081131832489826431328463493099480657203695171490736999498509998613977145569312393774152344010486428605925323707199947442420850933813720440544800840256308661268287137731453900661025075805923750912868790454209567200968136839885736951131870264128418078145500245551856876924439613465819025979402117780735422526520502497628468997275543464497885224732122645797898803935904073841666366868896709519477180871171574802072794644597327011624016901047426158437354387254140181191248404536893443673762322511012927662216767333153250104709127741347745733082436473467348919929750742455183772522668530397923783551956436043386145001597038766523198134841955528242341037783640351194857762673342355337073062632016307039411008411115573312607938615778162922281168105986430455573596208485397019456537699686038434231730413904238685923498115379256426936902245376591156008121793038219864238023180056516522778266315130005168574021314312409443333548038468006612511701210910392693855993179057390190742392497472844397770969433965404586197044759868247003982891190227058369502785902726949618275748568106138897005497379798042214511725800771996757773270920948661491827307783740211543366819038981738926090642221762882803853248370395684959696126550975322231454085493634386710467932899907503715119796897633720050497210928027330274758846665381593547005788858598935813488947297726424779283469763700650668637695375270287496453489189824991703596557733938596213564012692419715124927395754325752557540358030599241988169369123912919588350722357204384303127194060140102457109714235483030954924665748787355227642539194536267690042459136065998107039729936017528314218869086173799979033181446166477489048780182511750402536799503603447024427095219679899071233908401975464300581274954527154289367281383803553720843215941960809026145009148435469893398398684433452130548747268779345764246188481989375534350673477901765982420206694424968339611747057360606853016573903257140784758073190655100841517973476}
15887 13606186733780591603099706476885752662245401481782477794423676660: {15887,127048,142929,333417,396925,476310,508064,571572,1823785,2188542,2895609,2965633,3179217,4218494,4594017,4667785,5360342,5601342,5770285,6026420,6242185,6924342,7127049,7231704,7407417,7490622,7548884,7857073,8135667,8596285,9071348,9178057,9224809,9837793,10265233,10315542,10477209,10784120,11224390,11309889,11651233,11721085,11813977,11876905,12132135,12471697,12642577,12689809,12940944,12969417,13111510,13245249,13469268,13507718,13727593,14053990,14065302,14251117,14252286,14441833,14558562,14586169,14921089,15351512,15455473,15604585,15733812,16393933,16407433,16532905,16864788,16877110,17038489,17098177,17270451,17356809,17721889,17816710,17870809,17999617,18231085,18693385,18725502,18806413,18847405,18904633,19296740,19604077,19839486,20070849,20252532,20538985,20631190,20709949,21150417,21207313,21310153,21380052,21626857,21647535,21877302,21919405,21931897,22001353,22171609,22275457,22432062,22616886,23033713,23090704,23152909,23156088,23439190,23481332,23718673,23982253,24061873,24101409,24343177,24365485,24646782,24684286,24757428,25520257,25644003,25736905,25770875,25776553,25854782,25964329,25977042,26009677,26050599,26129684,26167393,26231169,26303286,26496417,26513089,27460153,27481417,27608017,27819417,27860689,27944893,28027597,28083369,28127028,28834366,28892713,29205133,29238582,29399889,29657684,30133885,30256873,30411806,30528575,30628094,30681913,30884286,30895510,30925050,30977917,31495089,31642285,31712854,31925737,32042113,32301332,32505433,32545405,32986720,33246878,33295009,33296905,33544760,33893713,33897385,33976393,34197385,34471753,34942964,35047606,35050753,35176177,35987689,36160662,36284198,36457510,36634290,36642157,36672609,37074612,37110060,37115518,37172353,37185609,37328120,37337809,37381990,37737855,37784905,37970742,38077459,38133958,38188753,38367217,38380585,38464329,38542342,38671412,38940889,39054486,39075553,39076576,39124285,39169393,39181846,39228790,39325417,39341204,39414793,39584064,39956286,40015405,40093009,40163785,40253712,40583929,40676862,40947793,41036862,41547457,41994135,42016017,42368120,42889342,43095334,43122985,43501153,43565485,43591652,43612250,43681694,43749012,43754420,43961148,44154913,44335693,44527017,44532072,44793744,44858388,45285426,45331885,45341886,45347113,45489332,45967777,46023249,46056702,46144760,46174297,46181113,46266452,46280318,46799485,46949142,47074548,47208589,47238985,47264169,47376589,47392574,47403529,47431318,47495540,47664135,48018486,48120884,48154969,48196542,48253017,48419590,48420457,48578422,48847405,49304468,49484217,49555777,49669177,49782589,49918520,50098581,50146148,50170694,50224009,50385097,50392962,50841744,50909713,50954529,50994109,51069313,51573406,51639553,51686769,51747582,51900973,51904585,51912855,52239433,52278582,52334700,52505304,52576513,52902849,53014993,53129686,53788285,53861492,54057334,54096577,54113529,54142417,54143878,54254233,54396370,54398262,54810310,55057652,55373712,55521085,55823680,55988617,56003444,56014273,56158335,56159382,56201720,56241385,56251009,56498324,56518689,56686782,56745433,56816905,56859062,56899508,56994648,57196962,57338518,57535405,57713169,57937273,57951417,58103508,58520593,58616886,58656553,58854013,59068467,59212958,59317777,59348029,59353510,59608153,59746873,59902224,59965412,60085929,60366337,60374804,60500678,60881638,60890413,60970285,60979309,61248404,61734009,61825405,62285502,62295426,62303233,62394685,62402420,62572052,62633773,62671017,62801640,62832728,62904729,63226935,63456337,64032013,64070049,64118979,64545942,64574662,64606993,64781590,64869428,64984760,65272009,65275644,65288329,65443928,65579198,65613044,65772372,65796397,65899966,65920897,66114740,66384489,66625302,66646273,66988416,67390002,67442064,67459633,67489662,67886564,68136692,68180286,68627686,68744120,68990257,69042486,69046993,69563569,69586033,69602617,69764638,69778897,70042297,70092598,70328653,70651845,70686819,70948569,70971289,70987177,71136685,71224212,71262518,71343373,71672420,71978710,72405937,72890989,73107855,73164342,73225606,73262708,73274998,73322438,73396568,73406089,73555009,73624419,73770488,73770790,73784905,73868889,74190486,74713033,74873622,74882904,74917993,75204417,75311485,75361968,75872322,75931222,75956414,76090449,76182817,76193953,76305313,76436929,76556905,77109385,77337135,77346310,77709100,77737908,77936905,77981712,78141118,78498409,78625405,78677222,78727537,78727809,79121257,79175485,79337688,79559012,79695518,80004920,80020390,80175766,80222689,80438324,80589913,80660749,80903917,81389254,81389689,81506185,81549849,81743977,81863302,82260433,82492944,82571139,82645489,82871785,82991799,83070014,83280685,83526097,83695809,84107929,84148057,84150975,84218749,84243267,84293588,84404353,84448052,84589940,84750932,84776905,84782214,84807764,84862712,85058809,85185129,85364022,85436173,85875529,85916246,86006904,86249720,86374452,86429540,86485364,86527129,86570084,86779513,87141817,87497720,87513457,87608468,87729426,88229048,88268833,88524948,88541886,88966209,88967485,89187817,89212088,89254899,89333348,89471293,89761040,90005535,90028513,90042685,90373782,90417729,90651910,90717697,90732902,91383085,91830406,91868286,92063649,92234593,92252977,92370109,92531262,92714569,92804562,92815572,93138422,93174488,93250920,93289017,93492489,93524286,93663673,93717193,93732920,93803953,93859513,94051885,94172710,94184905,94350486,94370449,94475864,94663633,94795006,94833409,94888094,95010582,95314017,95314129,95457313,95470551,95743993,95806513,96005904,96024468,96042985,96117969,96175405,96223028,96757767,96905257,97004024,97030935,97102753,97226353,97738294,97807422,98189689,98266477,98298975,98403193,98434935,98557510,98644342,98721073,99257679,99299217,99378913,99432310,99446142,99465044,99467648,99496209,99735608,99936822,...,4550653164244415320299943307940642026322961547188557723152256301826353067760674128178121376647852346106667372068618246868264374510322475928080813611754798427752529946297247717584789762840485476298450460868430115477251023704999797341352246153687780271241827992442087099337239189442071865859388858077008039733835038678965506263079636388305902650279133143186483605150821031209903857676977761174090127437706931650342289362767982774036562586054182748119169459987086364881735621659826400062282287519731706567039764172816110744450928586733790628226395154457191046922913017468770764324138121697748734739646992695239649220985805542757236105499247764997920965718353968590661228516015729642908887985560799921163631276400720580660817201260384462991902430706597180850991537613708885626369303185681314350801452205259828605426697805396192627117218250368327785315386659420198728538969103176671103133789780753746442703495913315196746827837098183968696848205903856110762499550303345064279215771306757362203109191966895990517436025351571139237656031580881210271786872606805340165510643483766519391493325150999729875157063691612021618599623654710201023379894626113682775658784002795596885675327934654065079217502395558149784797202262933292363511556675460526792286644010013533005609593948024460559116512616673359968911907923667244383421752158979645683360394312728095529184806549529057651347595620856358028885247173068884640405353368064886734012182689557329796357034770084774784167399472695007752861031971468614165000322057702009918767551816365589040783989768586085286113588746209266596656454150948106879295567139802370505974336785340587554254178854090424427413622852159208345508246069697063321767588701157995136659906381422992237740961675610317315050228558472608389135963332644324205779872555593527439544189826462983347181128240451580065701899349861255572679695346450580075745816392040995412138269998072390320508683287898403720233420946589637168925204645550976002956543062905431244680233784737487555394836600907894320346019038629572687391093631488628836310537045898862982254053685869379382526083535806576454690791090210153685664571353224546432386998623181032841463808791804401535063688704098997160559594904026292471328303629260699968549772169249716233573170273767625603805199255405170536640642829519848606850862602963196450871912431790731434050922075705330581264823912941213539217513722653204840097598026650178195823120903169018646369282722984063301526010216852648973630310041637452509417620586040910279524860854885711177137109785982651262276960214}
15888 13665928060453081838172873599155063545543896132873771159281520532: {111167,158810,174647,190572,444556,459911,635080,714465,762096,857358,1123007,1248911,1531727,1594487,2001647,2189111,2345111,2376287,2469767,2623298,2811866,2918056,3282813,3555047,3564698,3740111,3770927,3860812,4201511,4238956,4315226,4385567,4689626,4783367,5240687,5392727,6125356,6327741,6511607,6932111,7111847,7468456,7479266,7500287,7533025,8033306,8040513,8402013,8539367,8716511,9039630,9158111,9187487,9232456,9422207,9436105,9451511,9502732,9642272,9860927,9870746,9876556,9987496,10065047,10386513,10646087,10847556,11022047,11148386,11195111,11235933,11323326,11339185,11367887,11454167,11884487,12027527,12056666,12227447,12455447,12881567,12961346,13432573,13480150,13607022,13682498,13754056,13756511,13969612,14009087,14065127,14762927,14846327,15012911,15079852,15151511,15179207,15473313,15475298,15653786,15731447,16143527,16176180,16389911,16499207,16662911,16836585,16962287,17076506,17233607,17254592,17292556,17660332,17959024,17961026,18042767,18284111,18313826,18417911,18753736,18841946,18924527,19003048,19189390,19322447,19411416,19667265,19894298,20069186,20203902,20204366,20261577,20270111,20400911,20635847,20792111,20948087,20978416,21080985,21097953,21336767,21378429,21414287,21569111,21837843,22441007,22486384,22949567,23027268,23142412,23328887,23600718,23706407,24120925,24394586,24967336,25297182,25315665,25370687,25738367,26298647,26322911,26444111,26452648,26725065,26761132,27003376,27621287,27790106,27906647,28088253,28119911,28200556,28294466,28506736,28732367,28826111,28863380,28943111,28945110,29169736,29292911,29316167,29351665,29385887,29759229,29871911,29909416,30155848,30193967,30298946,30378798,30560111,30874784,30901511,30946785,31218527,31376447,31825487,32070078,32135212,32249111,32493047,32611298,32662105,32780087,32815953,32862376,32890127,33009904,33109607,33219047,33648093,33698207,33925329,34001111,34022687,34087367,34192004,34245698,34323911,34452527,34636056,34734132,34772807,34895426,34974892,35048927,35071048,35158785,35175911,35221998,35302607,35328556,35704346,35722847,35910911,36026906,36035927,36305807,36533111,36830786,36970173,37026429,37072105,37092556,37136142,37168487,37444492,37452911,37502704,37533887,37755911,38356511,38376407,38654111,38782173,38965563,38984776,39194526,39199852,39322007,39438911,39454929,39536111,39694946,40287407,40376665,40516127,40762607,40875911,41082887,41179048,41233400,41531111,41578466,41716511,41930950,41974727,41993452,42103247,42190542,42194807,42377327,43063607,43132226,43251549,43455647,43678705,43720727,43857873,43878911,44297567,44486526,44556887,44671586,44899847,45019127,45283298,45324047,45425111,45617709,45676511,45759911,45942141,46321727,46326429,46343265,46354487,46387575,46566647,46599167,46651226,46660150,46809767,46890407,46906511,46986911,47131127,47559887,47569281,47717207,47936111,47998367,48214216,48323111,48339265,48415247,48451998,48456986,48765767,48845720,48896812,49054298,49171847,49176505,49320767,49432816,49480080,49580812,49616207,49870317,50096687,50111111,50317140,50483327,50525927,50627656,50695607,50836127,50906087,51285772,51376511,51703007,52072648,52170887,52250111,52414446,52525127,52571409,52589786,52770911,52778752,52880666,52960150,53228687,53275048,53329007,53416367,53602247,53671616,53895911,54028967,54149087,54235816,54240993,54426297,54434111,54489565,54563207,54686265,54693025,54715816,54737687,54900698,54951435,54978637,55013111,55043906,55058567,55461911,55561127,55611918,55615298,55665090,55673277,55746767,55779287,55908647,55992180,56015567,56021356,56072985,56184386,56568887,56791967,56861665,56956113,57200937,57226511,57263437,57284567,57409367,57597026,57680950,57803327,57813513,57833065,58007118,58120847,58236287,58289111,58332016,58577306,58581729,58600007,58614864,58625447,58718111,58726487,58772769,58842911,58843185,58851167,59011806,59087111,59253767,59277287,59369356,59369425,59376096,59439911,59470487,59710487,59724992,59783807,59811184,59934429,60062111,60103847,60151105,60261167,60301511,60361487,60379106,60380568,60407687,60455848,60524687,60620207,60713927,60787607,60805847,60872111,60878087,60931511,60995927,61015293,61065626,61155527,61166687,61216511,61238447,61319567,61364332,61408936,61461047,61506911,61532111,61555293,61562087,61630585,61650287,61707647,61748546,61749911,61863911,61884698,62052407,62113127,62136911,62217887,62266247,62288111,62320367,62341511,62398150,62409911,62439647,62478287,62563967,62569847,62581511,62598856,62621327,62682685,62698586,62701367,62753111,62755487,62766064,62869967,62871911,62909111,62958911,62972447,62982527,63018892,63031511,63055607,63060047,63065927,63093911,63102647,63102911,63107087,63238298,63552180,64024648,64221997,64262056,64334013,64337356,64549177,64643001,64710626,65109146,65241698,65387478,65418375,65522541,65623518,65631630,65941722,65978956,66798108,67190616,67287582,67326865,67788992,67928139,67939372,67992026,68012829,68233998,68822065,68915692,68996776,69085053,69217140,69399678,69420477,69704776,69779600,70004305,70007072,70252150,70298906,70423713,70537132,70611822,70622905,71088861,71124385,71146977,71183426,71243310,72027729,72151372,72181326,72294813,72531016,72629385,72807386,72867633,73831616,73956702,74040026,74162498,74254873,74877780,74879176,74894306,74956765,75219222,75256041,75358252,75379298,75468505,75582376,75589443,75861986,75992864,76262616,76560505,76581698,76701146,76950892,77200417,77268556,77360109,77471344,77621373,78003025,78060577,78155848,78215065,78417873,78502050,78540910,78757956,79694529,79869632,80114572,80792238,81086001,81086785,81215817,81230950,81527677,81594555,81597393,81804910,82016305,82215465,82312012,82327069,82586478,82643425,82666381,83047336,83060568,83561356,83735520,83872972,83936066,84005166,84156386,84239073,84302580,84704666,84747486,84858205,84878521,85030173,85031906,85140698,85170865,85288593,85349262,85426732,85491972,85790426,85795443,85930150,86007777,86061256,87034192,87155262,87268657,87392066,87696496,87708506,87925329,88464481,88512652,88753946,88794937,88819437,88833736,88857698,89030265,89317888,89477186,89590525,89853336,89922752,89948118,89986216,90562206,90751017,90907048,91304546,91322457,91504706,91578385,91745710,91872606,92056648,92213110,92770249,93150001,93428253,93443139,93603630,93765146,93858078,94202460,94246466,94249092,94598092,94914266,94965616,95386946,96056653,96228698,96321506,96818913,96861993,97136375,97172385,97304142,97477140,97552456,97913466,98165892,98368797,98419566,98491852,98594906,98658558,98849949,98920648,98950298,99172110,99448765,99479066,99831496,99843872,99937953,...,6825979746366622980449914961910963039484442320782836584728384452739529601641011192267182064971778519160001058102927370302396561765483713892121220417632197641628794919445871576377184644260728214447675691302645173215876535557499696012028369230531670406862741988663130649005858784163107798789083287115512059600752558018448259394619454582458853975418699714779725407726231546814855786515466641761135191156560397475513434044151974161054843879081274122178754189980629547322603432489739600093423431279597559850559646259224166116676392880100685942339592731685786570384369526203156146486207182546623102109470489042859473831478708314135854158248871647496881448577530952885991842774023594464363331978341199881745446914601080870991225801890576694487853646059895771276487306420563328439553954778521971526202178307889742908140046708094288940675827375552491677973079989130298092808453654765006654700684671130619664055243869972795120241755647275953045272308855784166143749325455017596418823656960136043304663787950343985776154038027356708856484047371321815407680308910208010248265965225649779087239987726499594812735595537418032427899435482065301535069841939170524163488176004193395328512991901981097618826253593337224677195803394399938545267335013190790188429966015020299508414390922036690838674768925010039953367861885500866575132628238469468525040591469092143293777209824293586477021393431284537043327870759603326960608030052097330101018274034335994694535552155127162176251099209042511629291547957202921247500483086553014878151327724548383561175984652879127929170383119313899894984681226422160318943350709703555758961505178010881331381268281135636641120434278238812518262369104545594982651383051736992704989859572134488356611442513415475972575342837708912583703944998966486308669808833390291159316284739694475020771692360677370098552849024791883359019543019675870113618724588061493118207404997108585480763024931847605580350131419884455753387806968326464004434814594358146867020350677106231333092254901361841480519028557944359031086640447232943254465805568848294473381080528804069073789125303709864682036186635315230528496857029836819648580497934771549262195713187706602302595533056148495740839392356039438706992455443891049952824658253874574350359755410651438405707798883107755804960964244279772910276293904444794676307868647686097151076383113557995871897235869411820308826270583979807260146397039975267293734681354753527969553924084476094952289015325278973460445465062456178764126430879061365419287291282328566765705664678973976893415440321}
15889 13725929644307866048055807143062110583863523788754935341351035884: {15889,31774,238215,254096,285858,555695,666834,793850,952620,1016128,1143144,1286037,2553299,3314531,3504839,3647570,3934947,4217799,4377084,4826015,5298695,5347047,5791218,5931266,6358434,6472839,6534899,7034439,7656695,8078399,8436988,8739059,9188034,9335570,10613207,10720684,10902047,11202684,11218899,11540570,11878415,12034799,12049959,12052840,12131639,12345695,12484370,13559445,13769639,13848684,14129939,14254098,14463408,14806119,14814834,14981244,14997047,15097768,15648947,15714146,15927719,16223519,16271334,16409519,16627667,16722579,16978079,16984989,17192570,17462015,18084999,18142696,18265559,18322631,18356114,18449618,18849815,19442019,19675586,19723799,20103407,20117219,20220225,20410533,20523747,20530466,20631084,20954418,21120047,21568240,21615695,21846419,21910439,22075415,22341839,22448780,22619778,23146067,23212947,23302466,23442170,23480679,23627954,23702291,23753810,24064931,24264270,24896099,24943394,25152119,25285154,25379618,25523519,25614759,25881888,25938834,26001599,26122547,26170739,26223020,26386367,26490498,26938536,26941539,27015436,27455186,27470739,28031159,28107980,28130604,28262919,28436759,28502234,28504572,28684979,28754579,28784085,28883666,28928015,29069639,29117124,29172338,29219747,29841447,29842178,29872127,30103779,30305853,30306549,30463199,30687167,30703024,30856019,30910946,31209170,31467624,32641031,32787866,32797907,32814866,33065810,33421079,33451415,33729576,33754220,34076978,34111679,34196354,34321331,34540902,34713618,34747187,35250695,35401077,35443778,35633420,35640287,35741618,35999234,36031667,36079225,36363107,36462170,36591879,37177079,37386770,37451004,37612826,37694810,37809266,37945773,38593480,39174371,39208154,39348647,39419831,39483287,39678972,40051619,40141698,40153919,40169015,40505064,40952999,41077970,41262380,41419898,41545571,41685159,42187439,42300834,42414626,42441699,42620306,42740005,42760104,43253714,43295070,43417665,43718615,43754604,43838810,43863794,44002706,44160695,44299199,44343218,44550914,44864124,45233772,45448419,45563567,45568197,45973619,46067426,46104479,46180199,46181408,46305818,46312176,46365695,46524467,46581119,46615667,46805615,46878380,46962664,47382647,47393327,47437346,47456339,47536247,47876339,47964506,48105117,48123746,48202818,48686354,48730970,48916947,48999815,49293564,49368572,49511447,49514856,50279219,51040514,51288006,51368547,51442799,51473810,51541750,51553106,51709564,51928658,51954084,52019354,52101198,52183079,52259368,52334786,52343139,52462338,52491815,52606572,52832997,52898867,52992834,53026178,53215871,53556519,53560499,53732819,54040359,54577679,54773999,54920306,54962834,55216034,55246179,55638834,55704213,55721378,55889786,56021567,56055194,56166738,56176007,56229299,56254056,56899091,57610487,57668732,57785426,57944639,58410266,58477164,58669007,58791789,58799778,59252051,59315368,59325359,59355647,59542419,60019439,60267770,60372179,60513746,60823612,60898199,60991679,61057150,61121015,61256188,61363826,61768572,61791020,61850100,61932947,61955834,61976015,62135879,62367699,62617907,62896425,62990178,63284570,63285813,63425708,63464639,63851474,63867347,64084226,64107215,64118639,64415207,64602664,64698339,65010866,65090810,65519279,65689079,65804759,65973440,66134579,66296339,66493756,66590018,66593810,66729789,67007379,67089520,67468259,67787426,67794770,67924947,67952786,68053991,68386367,68394770,68943506,69885928,69976839,69990225,70026695,70095212,70101506,70337591,70352354,70445999,71565191,71707859,71873807,71975378,72321324,72415139,72568396,72666419,72677997,72685479,72915020,73268580,73284314,73345218,73581447,73759319,74149224,74211695,74220120,74231036,74344706,74371218,74487011,74554931,74656240,74675618,74763980,75303599,75475710,75569810,75894431,75941484,76154918,76192499,76267916,76353719,76377506,76446647,76705415,76734434,76761170,76928658,77028359,77084684,77139647,77342824,77729519,77881778,77988179,78108972,78151106,78153152,78248570,78338786,78363692,78457580,78621669,78650834,78682408,78737939,78773615,78829586,78884679,79168128,79320999,79440225,79543667,79736711,79912572,80030810,80186018,80232947,80327570,80421695,80507424,80549567,80600159,80914199,81167858,81353724,81895586,82073724,82238039,82299071,82351047,82449587,82473695,82565859,82789439,83094914,83417877,83422947,83497635,83988270,84032034,84276579,84736240,84924215,85358399,85447031,85778684,85886447,86144615,86190668,86245970,86395539,86521425,86555567,86928647,87002306,87002771,87010677,87130970,87183304,87224500,87352559,87363388,87449207,87498024,87508840,87524579,87688199,87865959,87922296,88171415,88280051,88309826,88517709,88671386,89054034,89064144,89587488,89716776,90039959,90047399,90189215,90379631,90568659,90570852,90663770,90683772,90694226,90755279,90854879,90978664,91598439,91935554,91938131,92046498,92113404,92246627,92289520,92348594,92362226,92532904,92560636,92622819,92764307,92770847,92827047,93080327,93597225,93598970,93815879,93898284,94047879,94149096,94197815,94417178,94477970,94528338,94753178,94785148,94807058,94857447,94862636,94991080,95326247,95328270,95572979,95641727,95756231,96036972,96143267,96188615,96241768,96309938,96393084,96506034,96585695,96839180,96840914,96894047,97065939,97156844,97663719,97694810,97862547,98081217,98177171,98435277,98447445,98608936,98912583,98968434,99111554,99338354,99565178,99591359,99750599,99821399,99837040,...,9101306328488830640599886615881284052645923094377115446304512603652706135521348256356242753295704692213334744137236493736528749020644951856161627223509596855505059892594495435169579525680970952596900921736860230954502047409999594682704492307375560542483655984884174198674478378884143731718777716154016079467670077357931012526159272776611805300558266286372967210301642062419807715353955522348180254875413863300684578725535965548073125172108365496238338919974172729763471243319652800124564575039463413134079528345632221488901857173467581256452790308914382093845826034937541528648276243395497469479293985390479298441971611085514472210998495529995841931436707937181322457032031459285817775971121599842327262552801441161321634402520768925983804861413194361701983075227417771252738606371362628701602904410519657210853395610792385254234436500736655570630773318840397457077938206353342206267579561507492885406991826630393493655674196367937393696411807712221524999100606690128558431542613514724406218383933791981034872050703142278475312063161762420543573745213610680331021286967533038782986650301999459750314127383224043237199247309420402046759789252227365551317568005591193771350655869308130158435004791116299569594404525866584727023113350921053584573288020027066011219187896048921118233025233346719937823815847334488766843504317959291366720788625456191058369613099058115302695191241712716057770494346137769280810706736129773468024365379114659592714069540169549568334798945390015505722063942937228330000644115404019837535103632731178081567979537172170572227177492418533193312908301896213758591134279604741011948673570681175108508357708180848854827245704318416691016492139394126643535177402315990273319812762845984475481923351220634630100457116945216778271926665288648411559745111187054879088379652925966694362256480903160131403798699722511145359390692901160151491632784081990824276539996144780641017366575796807440466841893179274337850409291101952005913086125810862489360467569474975110789673201815788640692038077259145374782187262977257672621074091797725964508107371738758765052167071613152909381582180420307371329142706449092864773997246362065682927617583608803070127377408197994321119189808052584942656607258521399937099544338499432467146340547535251207610398510810341073281285659039697213701725205926392901743824863581462868101844151410661162529647825882427078435027445306409680195196053300356391646241806338037292738565445968126603052020433705297947260620083274905018835241172081820559049721709771422354274219571965302524553920428}
15890 13786192610251137138042968956442391804964672720387613113604091747: {47661,206401,222334,317620,349294,381144,428787,491629,889112,919822,1000251,1060141,1154641,1190775,1270160,1428930,1524192,1626061,1714716,2246014,2376589,2470081,2497822,2563501,3063454,3188974,3308269,3493741,3586369,3771409,4003294,4232749,4378222,4416781,4690222,4752574,4783981,4939534,5150029,5246596,5423809,5471355,5623732,5836112,5878669,6150721,6565626,6782989,7110094,7129396,7142701,7480222,7541854,7680109,7721624,8303809,8403022,8477912,8630452,8686827,8747149,8771134,8835601,8896899,9188689,9364801,9379252,9452749,9537651,9566734,9628429,10241041,10481374,10502509,10546235,10785454,11369389,11628049,12250712,12485569,12655482,12911629,13023214,13166401,13210547,13400855,13589581,13782051,13864222,14003355,14223694,14430541,14936912,14958532,15000574,15066050,15181249,15430189,15761101,15843649,15874859,16066612,16081026,16173121,16583341,16804026,16991761,17078734,17310855,17433022,18079260,18125761,18316222,18374974,18464912,18726555,18844414,18872210,18903022,18927121,19005464,19284544,19325101,19721854,19741492,19753112,19974992,20130094,20664769,20773026,20976961,21054829,21210349,21292174,21365581,21381147,21443089,21695112,22044094,22137421,22214209,22222251,22296772,22390222,22444141,22471866,22646652,22678370,22735774,22825921,22908334,22978129,23571219,23734849,23768974,24035521,24055054,24113332,24407001,24454894,24633409,24707821,24910894,25152781,25763134,25788855,25922692,26107969,26326669,26865146,26960300,27214044,27364996,27508112,27513022,27534171,27625261,27674427,27910669,27939224,27981841,28018174,28060975,28130254,28759981,29320429,29513379,29525854,29668369,29692654,29876269,30025822,30152461,30159704,30303022,30358414,30358849,30795699,30946626,30950596,31177921,31307572,31431627,31462894,32120401,32287054,32352360,32778775,32779822,32998414,33180241,33325822,33673170,33769295,33924574,33929667,34027789,34153012,34467214,34479121,34509184,34585112,34953699,35134975,35163255,35307949,35320664,35441931,35630715,35686381,35749201,35811949,35918048,35922052,35937229,36085534,36396405,36559309,36568222,36621121,36627652,36835822,37235281,37415091,37507472,37539661,37683892,37842241,37849054,37927731,38006096,38069427,38378780,38382349,38644894,38679889,38822832,38908251,39034561,39152209,39269569,39328141,39334530,39735747,39736129,39788596,40138372,40312849,40407804,40408732,40484461,40523154,40540222,40801822,41092331,41108161,41182779,41271694,41276749,41556289,41584222,41611981,41667601,41896174,41944621,41956832,42161970,42192775,42195906,42219841,42673534,42753351,42756858,42764881,42828574,42980881,43088449,43138222,43325499,43356109,43462669,43515841,43675686,43758507,43780621,44356801,44541775,44564161,44763267,44882014,44972768,45331501,45382081,45726947,45883921,45899134,46054536,46284824,46329421,46366419,46378561,46657774,46813755,46914349,47010829,47201436,47298541,47412814,47583661,47772301,47959789,48006481,48241850,48423469,48789172,48789229,49105489,49181799,49222299,49598715,49639441,49815121,49934672,50119789,50292301,50594364,50631330,50718541,50741374,50887021,51115467,51294531,51303181,51476734,51577975,51671569,51811353,51873709,51900947,51954061,52070427,52193389,52272589,52597294,52645822,52780369,52888222,52905296,52972429,53165667,53426029,53450130,53522264,53612427,53869261,53998851,54006752,54050881,54158989,54373261,54444109,54584941,54693255,54794029,55034689,55136749,55242574,55405741,55472269,55580212,55735501,55768081,55813294,56080155,56176506,56239822,56248141,56401112,56419239,56527331,56542215,56588932,56712001,56713899,56802829,56832961,57013472,57247249,57420481,57464734,57477649,57652222,57726760,57731341,57842221,57886222,57890220,58300609,58339472,58431469,58483309,58585822,58597975,58611649,58632334,58703330,58738189,58771774,58812231,58862929,59034541,59367181,59518458,59618641,59641069,59743822,59796049,59818832,59904589,60116269,60178369,60212547,60239821,60311696,60320749,60340801,60387934,60556621,60597892,60670669,60757596,60818701,60890989,60944449,61120222,61150187,61168621,61185361,61235149,61332781,61550509,61580461,61595329,61616955,61654081,61710715,61725901,61749568,61768129,61803022,61864141,61893570,61904209,61995181,62129847,62131009,62154769,62166541,62224321,62280301,62355649,62437054,62457169,62505229,62533201,62587201,62630221,62718529,62752894,62770189,62791249,62886829,62956561,62975569,62984641,63006061,63018049,63046849,63053329,63062509,63073741,63098689,63117841,63118669,63122701,63451251,63621939,63650974,63930459,64140156,64270424,64498222,64636955,64880571,64942605,64986094,65222596,65324210,65560174,65631906,65724752,65758215,65780254,65795691,66004059,66019808,66219214,66438094,66514827,66826371,67296186,67396414,67674971,67850658,68002222,68045374,68174734,68384008,68491396,68647822,68847107,68905054,69101139,69272112,69458727,69468264,69545614,69790852,69949784,70097854,70142096,70317570,70351822,70443996,70605214,70657112,71156019,71408692,71445694,71821822,71946759,72053812,72071854,72085915,72185619,72304227,72611614,73029531,73066222,73096455,73661572,73940346,74052858,74144210,74185112,74272284,74336974,74888984,74905822,75005408,75067774,75511822,76029515,76285391,76560771,76570235,76713022,76752814,76932009,77210715,77238775,77308222,77312625,77329659,77564346,77892987,77931126,77969552,78029031,78151797,78389052,78399704,78502179,78644014,78693507,78877822,78909858,79072222,79282135,79389892,79489251,79539267,79606331,80574814,80753330,80966291,81032254,81525214,81751822,82165774,82358096,82380459,82444251,82466800,82824051,83062222,83117195,83156932,83433022,83458251,83582067,83834679,83861900,83949454,83986904,84082791,84206494,84211547,84250107,84381084,84389614,84754654,86127214,86264452,86282819,86503098,86678139,86911294,87357410,87441454,87615399,87619015,87715746,87755759,87757822,88199667,88595134,88973052,89113774,89343172,89799694,90038254,90401655,90566596,90648094,90710495,90770619,90850222,91143775,91235418,91353022,91519822,91585725,91884282,92045739,92643454,92652858,92686530,92708974,92775150,92788795,92933751,93133294,93198334,93302452,93320300,93454975,93619534,93780814,93813022,93973822,94257611,94262254,94485267,94926855,95119774,95138562,95334895,95434414,95777211,95872222,95996734,96126339,96350891,96355855,96428432,96646222,96678530,96830494,96903996,96913972,97295627,97516299,97531534,97636215,97691440,97793624,97954615,98006027,98071975,98108596,98343694,98353010,98641534,98865632,98872067,98960160,99161624,99232414,99574139,99740634,99885027,99890715,...,13651959492733245960899829923821926078968884641565673169456768905479059203282022384534364129943557038320002116205854740604793123530967427784242440835264395283257589838891743152754369288521456428895351382605290346431753071114999392024056738461063340813725483977326261298011717568326215597578166574231024119201505116036896518789238909164917707950837399429559450815452463093629711573030933283522270382313120794951026868088303948322109687758162548244357508379961259094645206864979479200186846862559195119701119292518448332233352785760201371884679185463371573140768739052406312292972414365093246204218940978085718947662957416628271708316497743294993762897155061905771983685548047188928726663956682399763490893829202161741982451603781153388975707292119791542552974612841126656879107909557043943052404356615779485816280093416188577881351654751104983355946159978260596185616907309530013309401369342261239328110487739945590240483511294551906090544617711568332287498650910035192837647313920272086609327575900687971552308076054713417712968094742643630815360617820416020496531930451299558174479975452999189625471191074836064855798870964130603070139683878341048326976352008386790657025983803962195237652507186674449354391606788799877090534670026381580376859932030040599016828781844073381677349537850020079906735723771001733150265256476938937050081182938184286587554419648587172954042786862569074086655741519206653921216060104194660202036548068671989389071104310254324352502198418085023258583095914405842495000966173106029756302655449096767122351969305758255858340766238627799789969362452844320637886701419407111517923010356021762662762536562271273282240868556477625036524738209091189965302766103473985409979719144268976713222885026830951945150685675417825167407889997932972617339617666780582318632569479388950041543384721354740197105698049583766718039086039351740227237449176122986236414809994217170961526049863695211160700262839768911506775613936652928008869629188716293734040701354212462666184509802723682961038057115888718062173280894465886508931611137696588946762161057608138147578250607419729364072373270630461056993714059673639297160995869543098524391426375413204605191066112296991481678784712078877413984910887782099905649316507749148700719510821302876811415597766215511609921928488559545820552587808889589352615737295372194302152766227115991743794471738823640617652541167959614520292794079950534587469362709507055939107848168952189904578030650557946920890930124912357528252861758122730838574582564657133531411329357947953786830880642}
15891 13846718088013141192488198892816323588136070156897093753994543520: {31778,63548,333501,397025,476430,508192,523941,571716,777973,1111390,1333668,1379733,1587700,1905240,2032256,2143395,2286288,2572074,3369021,3746733,3917173,4595181,4783461,5106598,6004941,6558245,6567333,6629062,6756421,7009678,7029665,7035333,7128861,7295140,7409301,7418173,7869894,8435598,8754168,8911745,9652030,9848439,10597390,10665141,10694094,10719373,10788065,11220333,11312781,11582436,11724065,11862532,12346829,12542881,12604533,12716868,12945678,13069798,13156701,14068878,14350101,14422661,15313390,15459389,15722061,16156798,16178181,16629781,16873976,17283973,17478118,18148981,18376068,18564821,18671140,18698165,18983223,19074221,19534821,19598381,20083265,20796333,21084061,21226414,21335541,21441368,21452813,21653473,21804094,22281101,22405368,22437798,22500861,22599075,22694309,23081140,23756830,24069598,24099918,24105680,24121539,24263278,24298433,24446821,24676865,24691390,24968740,25206039,25618101,25783109,25796501,26149533,26389741,26574929,27038933,27082241,27118890,27474333,27539278,27562461,27697368,27870965,28259878,28266621,28308315,28354533,28440373,28508196,28680173,28926816,29582781,29612238,29629668,29962488,29994094,30141665,30195141,30195536,30261973,30276881,30452381,30872101,30905581,31159539,31297894,31428292,31855438,31938261,32403365,32447038,32513669,32542668,32819038,33066141,33255334,33445158,33585333,33700375,33707799,33956158,33969978,33985061,34017555,34103661,34206245,34326881,34362501,34385140,34895573,34924030,35653461,35725981,36082581,36169998,36285392,36531118,36626741,36645262,36651473,36682341,36712228,36899236,37366341,37699630,38198429,38644701,38688245,38787821,38884038,39134465,39135973,39335381,39351172,39447598,40103261,40206814,40234438,40297719,40440450,40499221,40561573,40710113,40821066,41047494,41060932,41120189,41262168,41269533,41409301,41550853,41908836,42027261,42195381,42240094,42691265,42974581,43136480,43151669,43231390,43692838,43820878,44150830,44288781,44538981,44683678,44897560,44902565,45038733,45239556,45454533,45537621,45784565,46163969,46292134,46419939,46425894,46587073,46604932,46831981,46884340,46961358,47104865,47194341,47255908,47404582,47415581,47507620,47973475,48129862,48430581,48528540,49169733,49350973,49497621,49568381,49735745,49792198,49886788,49988733,50172965,50304238,50509755,50510915,50570308,50759236,50886861,50922701,51047038,51229518,51609473,51700821,51763776,51877668,52003198,52245094,52341478,52446040,52634501,52772734,52980996,53261549,53655101,53877072,53883078,54030872,54128301,54852333,54905813,54910372,54941478,54983461,55253733,56062318,56179201,56215960,56236621,56261208,56525838,56773581,56873518,57004468,57009144,57369958,57494893,57509158,57511889,57568170,57767332,57856030,57967341,58139278,58234248,58344676,58439494,59001795,59331221,59682894,59684356,59744254,59762069,59836007,60207558,60291341,60381773,60611706,60613098,60784731,60810333,60926398,60986465,61202733,61206061,61374334,61406048,61483661,61712038,61821892,61824973,61907541,61940821,61954001,62376333,62418340,62784949,62844261,62935248,63242955,63293859,64010301,64135287,64242861,64707333,64911973,65216609,65282062,65288861,65513529,65527861,65575732,65595814,65629732,66022829,66131620,66304813,66842158,66902830,67323021,67459152,67508440,68062693,68085121,68153956,68223358,68392708,68599741,68642662,68848701,69081804,69427236,69475265,69494374,69986661,70501390,70736165,70802154,70887556,71005301,71119221,71259749,71266840,71280574,71483236,71998468,72063334,72158450,72362775,72726214,72909521,72924340,73183758,73488541,73768693,73901173,74002981,74288033,74354158,74773540,74902008,75225652,75389620,75618532,75747365,75891546,75946995,76112061,77122853,77186960,77215101,77608961,78348742,78416308,78697294,78839662,78895941,78966574,78968733,79141373,79176581,79332333,79357944,79390709,80103238,80175195,80283396,80307838,80329549,80338030,81010128,81147869,81410453,81528245,81661661,81905998,82155940,82524760,82839796,82863861,83091142,83370318,83547341,83719941,84240161,84264759,84359733,84374878,84601668,84829252,84883398,85080941,85240612,85480010,85520208,85569421,85614245,85912613,86197101,86478333,86507428,86590140,86766421,86801669,86829333,86835330,87238565,87437230,87509208,87677620,87727588,87878733,87948501,87974869,88005412,88022429,88054995,88110373,88157661,88321390,88598398,88686436,89101828,89210501,89260865,89277687,89615733,89728248,89750101,90067265,90467544,90581901,90766813,90896838,91127134,91136394,91593773,91680333,91947238,92076965,92134852,92208958,92360398,92362816,92529373,92611636,92624352,92704533,92731390,92738141,92840355,93048934,93092161,93162238,93231334,93611230,93655581,93735661,93741029,93756760,93925328,94129341,94765294,94786654,94874692,94912678,95072494,95476461,95752678,95929012,96210234,96247492,96405636,96612709,96747333,97372708,97440421,97461940,97479141,97737349,97833894,97986315,97999630,98037373,98189653,98340261,98447859,98587128,98670381,98737144,98812741,99022894,99029712,99237365,99328821,99404189,99657141,99717101,...,20477939239099868941349744885732889118453326962348509754185153358218588804923033576801546194915335557480003174308782110907189685296451141676363661252896592924886384758337614729131553932782184643343027073907935519647629606672499088036085107691595011220588225965989391947017576352489323396367249861346536178802257674055344778183858363747376561926256099144339176223178694640444567359546399925283405573469681192426540302132455922483164531637243822366536262569941888641967810297469218800280270293838792679551678938777672498350029178640302057827018778195057359711153108578609468439458621547639869306328411467128578421494436124942407562474746614942490644345732592858657975528322070783393089995935023599645236340743803242612973677405671730083463560938179687313829461919261689985318661864335565914578606534923669228724420140124282866822027482126657475033919239967390894278425360964295019964102054013391858992165731609918385360725266941827859135816926567352498431247976365052789256470970880408129913991363851031957328462114082070126569452142113965446223040926730624030744797895676949337261719963179498784438206786612254097283698306446195904605209525817511572490464528012580185985538975705943292856478760780011674031587410183199815635802005039572370565289898045060898525243172766110072516024306775030119860103585656502599725397884715408405575121774407276429881331629472880759431064180293853611129983612278809980881824090156291990303054822103007984083606656465381486528753297627127534887874643871608763742501449259659044634453983173645150683527953958637383787511149357941699684954043679266480956830052129110667276884515534032643994143804843406909923361302834716437554787107313636784947954149155210978114969578716403465069834327540246427917726028513126737751111834996899458926009426500170873477948854219083425062315077082032110295658547074375650077058629059027610340856173764184479354622214991325756442289074795542816741050394259653367260163420904979392013304443783074440601061052031318693999276764704085524441557085673833077093259921341698829763397416706544883420143241586412207221367375911129594046108559905945691585490571089510458945741493804314647786587139563119806907786599168445487222518177068118316120977366331673149858473974761623723051079266231954315217123396649323267414882892732839318730828881713334384028923605943058291453229149340673987615691707608235460926478811751939421780439191119925801881204044064260583908661772253428284856867045975836920381336395187368536292379292637184096257861873846985700297116994036921930680246320963}
15892 13907507212168702642156888649401625201451896938407271359621649979: {47667,79435,95322,174691,412802,444668,635240,698588,714645,762288,857574,983258,1312147,1406467,1594891,1667085,1778224,1839644,1984625,2000502,2064691,2120282,2309282,2381550,2540320,2857860,3048384,3252122,3429432,3858111,3925891,4110427,4492028,4753178,4845691,4940162,4995644,5127002,6126908,6377948,6483187,6616538,6663691,6933907,6987482,7172738,7382827,7542818,7561891,7659897,7829947,8006588,8465498,8630227,8756444,8833562,9072307,9118925,9380444,9505148,9567962,9879068,9943593,10038547,10300058,10493192,10514517,10847618,10909387,10942710,11247464,11255707,11514691,11672224,11757338,11804841,12202147,12301442,12629467,12653397,13131252,13565978,14068891,14220188,14236867,14258792,14285402,14478045,14764729,14828165,14960444,15072427,15083708,15360218,15443248,15570307,15735691,15896085,16041141,16394347,16607618,16806044,16955824,16966891,17260904,17373654,17494298,17535907,17542268,17671202,17793798,17940187,18377378,18422947,18729602,18758504,18761197,18905498,18982891,19075302,19133468,19256858,19418517,19604697,19934587,20482082,20962748,21005018,21092470,21103317,21108329,21342691,21570908,21883987,22498291,22738778,22970085,23256098,23338925,24235197,24501424,24537547,24971138,25310964,25500691,25823258,26046428,26217177,26332802,26421094,26801710,27179162,27533827,27564102,27728444,28006710,28447388,28529227,28851425,28861082,29091691,29301427,29440891,29873824,29917064,30001148,30132100,30271627,30362498,30614707,30860378,30955987,31210925,31522202,31687298,31700467,31749718,31839621,32133224,32162052,32303107,32346242,32635387,32706141,32833891,33166682,33608052,33656697,33983522,34157468,34334227,34621710,34866044,34910947,35228827,35635245,35921827,36046891,36104397,36149877,36158520,36251522,36394917,36544267,36632444,36749948,36929824,37037085,37098307,37453110,37688828,37744420,37767547,37806044,37854242,38010928,38068867,38368387,38569088,38650202,38666107,39285365,39443708,39482984,39490147,39506224,39949984,40260188,40642867,40678335,40813291,41095891,41308917,41329538,41546052,41766787,41953922,42109658,42372667,42389817,42420698,42584348,42590827,42731162,42762294,42886178,42981425,43291891,43390224,44088188,44274842,44418357,44428418,44444502,44450587,44593544,44780444,44888282,44943732,44991141,45293304,45356740,45471548,45651842,45775027,45816668,45890285,45956258,46123291,46124045,46369891,46614691,46857691,46946841,46954387,47142438,47277013,47469698,47481067,47537948,47783157,48071042,48110108,48185227,48226664,48277891,48670557,48814002,48909788,49188691,49188965,49228557,49266818,49415642,49544947,49633291,49821788,49883001,50167737,50305562,50372587,50628547,50713291,50934237,50954967,51132691,51215707,51326165,51421987,51526268,51577710,51845384,52215938,52268707,52386045,52465627,52653338,52738291,52815547,53235307,53730292,53793667,53920600,53976187,54120907,54254997,54428088,54477667,54512947,54688267,54729992,54796677,54967893,55016224,55026044,55068342,55250522,55338067,55348854,55821338,55878448,55929691,55963682,56026027,56036348,56121950,56153467,56260508,56311147,56549445,56621107,57160891,57519962,57592891,57816667,57954187,58143691,58256165,58276891,58326057,58537891,58589227,58605425,58640858,59026758,59051708,59069885,59171397,59336738,59384525,59385308,59555467,59690467,59734891,59752538,59888107,59995387,60051644,60100867,60304922,60306427,60310221,60319408,60326587,60351657,60601267,60606044,60620347,60660675,60716828,60717698,60969187,61108291,61192891,61231599,61242787,61275691,61324507,61467067,61558867,61571241,61591398,61633387,61893252,61900147,61901192,61966027,62164747,62323507,62355842,62358485,62438347,62506891,62571907,62598691,62615144,62624827,62699347,62782507,62863254,62925788,62959987,62965027,63050707,63064387,63123787,63130267,63134947,63212885,63360141,63449045,64240802,64574108,64704720,64847085,65539257,65557550,65559644,65731317,65996828,66226245,66360482,66651644,67025517,67346340,67538590,67849148,67859334,68055578,68306024,68637965,68934428,68958242,69018368,69170224,69438201,69638841,69907398,70269950,70326510,70442037,70615898,70641328,70883862,71106873,71255585,71261430,71372762,71498402,71623898,71836096,71844104,71874458,72171068,72194793,72209165,72792810,72930845,73118618,73136444,73242242,73255304,73671644,74470562,74605445,74688297,74830182,75014944,75079322,75367784,75456357,75684482,75698108,75855462,76012192,76138854,76570557,76757560,76764698,76844277,77277365,77289788,77359778,77645664,77816502,78004797,78022925,78069122,78304418,78367641,78512217,78539138,78656282,78669060,79159101,79471494,79472258,79577192,80276744,80625698,80815608,80817464,80824617,80968922,81046308,81080444,81603644,81969665,82037165,82184662,82216322,82365558,82412217,82543388,82553498,82664525,83112578,83168444,83223962,83335202,83792348,83889242,83913664,84093477,84323940,84385550,84391812,84439682,84788757,85192445,85310277,85347068,85490885,85506702,85513716,85529762,85657148,85961762,86054937,86176898,86263737,86276444,86352255,86395001,86650998,86712218,86784045,86925338,87031682,87208917,87351372,87517014,87561242,87659241,88609445,88713602,89083550,89128322,89354045,89524341,89526534,89616381,89764028,89945536,89985401,89998085,90311337,90491737,90663002,90764162,90917559,90919647,91155425,91389597,91453894,91767842,91798268,92061501,92109072,92568057,92569648,92658842,92732838,92757122,93315548,93466925,93627510,93828698,94021658,94032065,94237025,94402872,94523165,94597082,94825628,95167322,95544602,95919578,96012962,96483700,96846938,97578344,97578458,97923093,98020385,98210978,98363598,98393721,98444598,99197430,99278882,99630242,99869344,...,27303918985466491921799659847643852157937769283131346338913537810958118406564044769068728259887114076640004232411709481209586247061934855568484881670528790566515179677783486305508738577042912857790702765210580692863506142229998784048113476922126681627450967954652522596023435136652431195156333148462048238403010232073793037578477818329835415901674798859118901630904926187259423146061866567044540764626241589902053736176607896644219375516325096488715016759922518189290413729958958400373693725118390239402238585036896664466705571520402743769358370926743146281537478104812624585944828730186492408437881956171437895325914833256543416632995486589987525794310123811543967371096094377857453327913364799526981787658404323483964903207562306777951414584239583085105949225682253313758215819114087886104808713231558971632560186832377155762703309502209966711892319956521192371233814619060026618802738684522478656220975479891180480967022589103812181089235423136664574997301820070385675294627840544173218655151801375943104616152109426835425936189485287261630721235640832040993063860902599116348959950905998379250942382149672129711597741928261206140279367756682096653952704016773581314051967607924390475305014373348898708783213577599754181069340052763160753719864060081198033657563688146763354699075700040159813471447542003466300530512953877874100162365876368573175108839297174345908085573725138148173311483038413307842432120208389320404073096137343978778142208620508648705004396836170046517166191828811684990001932346212059512605310898193534244703938611516511716681532477255599579938724905688641275773402838814223035846020712043525325525073124542546564481737112955250073049476418182379930605532206947970819959438288537953426445770053661903890301371350835650334815779995865945234679235333561164637265138958777900083086769442709480394211396099167533436078172078703480454474898352245972472829619988434341923052099727390422321400525679537823013551227873305856017739258377432587468081402708424925332369019605447365922076114231777436124346561788931773017863222275393177893524322115216276295156501214839458728144746541260922113987428119347278594321991739086197048782852750826409210382132224593982963357569424157754827969821775564199811298633015498297401439021642605753622831195532431023219843856977119091641105175617779178705231474590744388604305532454231983487588943477647281235305082335919229040585588159901069174938725419014111878215696337904379809156061301115893841781860249824715056505723516245461677149165129314267062822658715895907573661761284}
15893 13968561122157836075278267929144726036578395093868088893587005669: {63556,127096,142983,555835,619203,667002,794050,873235,952860,1016384,1047882,1143432,1286361,1474887,1555946,2222780,2299555,2667336,2759466,3000753,3175400,3180423,3463923,3572325,3810480,4012327,4064512,4286790,4572576,4583251,4878183,5144148,5615035,6244555,6738042,7129767,7410243,7493466,7658635,7690503,7834346,7972435,9181543,9190362,9566922,9841531,9924807,10008235,10213196,10269127,10481223,10759107,10945555,11314227,11725555,11881435,12009882,12348835,12476443,12694627,12698247,13116490,13134666,13250343,13258124,13512842,13732807,14019356,14059330,14070666,14256523,14257722,14351943,14590280,14591707,14818602,14836346,15103291,15450087,15739788,15864451,16271427,16413691,16414065,16871196,17044963,17104663,17508336,17636007,17775235,17823490,18006451,18270187,18452163,18700555,18813547,18854635,18911827,19280923,19304060,19611523,19696878,20348967,21007555,21194780,21215371,21318247,21330282,21388188,21428103,21438746,21558571,21576130,21927835,21940243,22180027,22440666,22625562,23040327,23161723,23164872,23448130,23725064,23885731,23916835,24352423,24693658,24902407,24911427,25085762,25209066,25433736,25786387,25891356,25974187,26060481,26129191,26139596,26177431,26203435,26241447,26313402,26506803,26523163,26690697,26820547,26963635,27491851,27566067,27618523,27871267,27955507,28094403,28116571,28137756,28358247,28612953,28692247,28700202,28845322,28885287,28903687,29216251,30137383,30268387,30470947,30626780,30693571,30723123,30918778,30989683,31444122,31507527,31638705,31937863,32054311,32313596,32356362,32558035,33259562,33429547,33747952,33838867,34002091,34108167,34330087,34484851,34547611,34567946,34660555,34755991,34884147,34956236,35189563,35559235,36001363,36297962,36372391,36656131,36752136,37129642,37186531,37342280,37352023,37396330,37456707,37501435,37665125,37966446,38148442,38734887,39019351,39069642,39196762,39493291,39499203,39512827,39631641,39836491,40061767,40108387,40164163,40166530,40202565,40768743,40963411,41125447,41346153,41464291,41592666,42010065,42168122,42198331,42452828,42671082,42696835,42882736,42905626,43291623,43306946,43517707,43582555,43608188,43777351,44345683,44352571,44562202,44810736,44875596,45001722,45185767,45198150,45364711,45388618,45543747,45790555,45937435,46162280,46290567,47078107,47111035,47180525,47257555,47283303,47394763,47421607,47513660,47530947,47624577,47888743,48139196,48199836,48211360,48222691,48243078,48438883,48519363,48526556,48596587,48596866,48893642,49304635,49347691,49353730,49382780,49574683,49750023,49937480,50292007,50325235,50412078,50975283,50997427,51088747,51236202,51455923,51566218,51593002,51920731,51932565,52299066,52508971,52779482,53149858,53230435,53604067,54077866,54117163,54163543,54164482,54237780,54377283,54788251,54948666,55078556,55110235,55124922,55168747,55394736,55741930,55975555,56009923,56179665,56272423,56519756,56533242,56616630,56621191,56695925,56709066,56767027,56781363,56839435,56880746,56913607,57016392,57270835,57360346,57853632,57959371,57975303,58542871,59165562,59224476,59259336,59422435,59767771,59769667,59924976,59988188,60137635,60283330,60317347,60389491,60390282,60391072,60523946,60553762,60904762,60913771,61002523,61137235,61744202,61811162,61961923,61994307,62277235,62319078,62326951,62350291,62483371,62595788,62856584,62863591,62930883,62945467,63164487,63631047,63710876,63876522,63883591,64096743,64098391,64143441,64329267,64407835,64806730,64894076,65027338,65085336,65638076,65946811,65991307,66132282,66294547,66412263,66508027,66510668,66642627,66666753,66890316,67162865,67170666,67332423,67400750,67415598,67485511,67882627,67912316,67939956,67970122,68035110,68207322,68239411,68260891,68397907,68412490,68477763,68653762,68725002,68770280,68782555,68877847,68934387,69242707,69613027,69630043,69791146,69848060,70045435,70242151,70325635,70713657,70715281,71204547,71253403,71306922,71370811,71451962,71599891,71726167,71799691,72106563,72165162,72339996,72570784,72918787,73062236,73221003,73253191,73253482,73290524,73302946,73364682,73424456,73798472,73814635,73900227,74123463,74231635,74574247,74732682,75064555,75234247,75399260,75458343,75757555,75896035,76396858,76466083,77159563,77289402,77366565,77376490,77575642,77618923,77768076,78268930,78271946,78323907,78657235,78670762,78702344,78895196,78980007,79151431,79737187,80206522,80253463,80413628,80468876,80595438,80620651,80717635,80880900,80998442,81123146,81254611,81420226,81627067,81642132,81672103,81949555,82094988,82121864,82240378,82320067,82381147,82496035,82524336,82539066,82602513,82818602,82875783,83023281,83101706,83126791,83314555,83557963,83732007,83817672,83847451,83945523,84054522,84182925,84216067,84250867,84390762,84437287,84480188,84811435,85381051,85382530,85908283,85949162,86073427,86168035,86272960,86279943,86303338,86462780,86631547,86739427,87024967,87385676,87641756,87710587,87961287,88033891,88301660,88360327,88540137,88577562,89005107,89077962,89221843,89367356,89505571,89628807,89795120,89805130,90062851,90077466,90168487,90213835,90457383,90479112,90877987,90909066,91075242,91076547,91420555,91569130,92089555,92121691,92327938,92387097,92584268,92749927,92787991,92839878,92851788,93174146,93209864,93533763,93572323,93663962,93752947,93768680,93839731,93922716,94189003,94209730,94294881,94388682,94406743,94511816,94622635,94809164,94831162,94870567,95015240,95350483,95597287,95844067,95902027,95946950,96259724,96361203,96523387,96612235,96861162,96918691,97057080,97265371,98336325,98339466,98701946,98995242,99030631,99136762,99284551,99416827,99471490,99540723,99584396,99730147,99773576,99847171,99977466,...,40955878478199737882699489771465778236906653924697019508370306716437177609846067153603092389830671114960006348617564221814379370592902283352727322505793185849772769516675229458263107865564369286686054147815871039295259213344998176072170215383190022441176451931978783894035152704978646792734499722693072357604515348110689556367716727494753123852512198288678352446357389280889134719092799850566811146939362384853080604264911844966329063274487644733072525139883777283935620594938437600560540587677585359103357877555344996700058357280604115654037556390114719422306217157218936878917243095279738612656822934257156842988872249884815124949493229884981288691465185717315951056644141566786179991870047199290472681487606485225947354811343460166927121876359374627658923838523379970637323728671131829157213069847338457448840280248565733644054964253314950067838479934781788556850721928590039928204108026783717984331463219836770721450533883655718271633853134704996862495952730105578512941941760816259827982727702063914656924228164140253138904284227930892446081853461248061489595791353898674523439926358997568876413573224508194567396612892391809210419051635023144980929056025160371971077951411886585712957521560023348063174820366399631271604010079144741130579796090121797050486345532220145032048613550060239720207171313005199450795769430816811150243548814552859762663258945761518862128360587707222259967224557619961763648180312583980606109644206015968167213312930762973057506595254255069775749287743217527485002898519318089268907966347290301367055907917274767575022298715883399369908087358532961913660104258221334553769031068065287988287609686813819846722605669432875109574214627273569895908298310421956229939157432806930139668655080492855835452057026253475502223669993798917852018853000341746955897708438166850124630154164064220591317094148751300154117258118055220681712347528368958709244429982651512884578149591085633482100788519306734520326841809958784026608887566148881202122104062637387998553529408171048883114171347666154186519842683397659526794833413089766840286483172824414442734751822259188092217119811891383170981142179020917891482987608629295573174279126239613815573198336890974445036354136236632241954732663346299716947949523247446102158532463908630434246793298646534829765785465678637461657763426668768057847211886116582906458298681347975231383415216470921852957623503878843560878382239851603762408088128521167817323544506856569713734091951673840762672790374737072584758585274368192515723747693971400594233988073843861360492641926}
15894 14029880962306445055175216810749368012076300928195154622226927413: {79445,95334,111209,158870,190644,206453,269909,349382,825604,889336,1000503,1123433,1191075,1270480,1397176,1429290,1524576,1532309,1571823,1626473,1689209,1715148,1966516,2002409,2333919,2470709,2564153,2624294,2626409,2778475,2812934,3189782,3309113,3334170,3494633,3556409,3556448,3649013,3679288,3926393,3969250,4001004,4129382,4139199,4240564,4571093,4618564,4763100,4846313,4876853,5080640,5485973,5698409,5715720,5940713,6096768,6152309,6212693,6430185,6504244,6514133,6694613,6844793,6858864,7204409,7716222,7741673,7851782,8009333,8220854,8631353,8984056,8985209,9279209,9425909,9506356,9630953,9691382,9880324,9952373,9991288,10069013,10107063,10254004,10301909,10650293,11113013,11240199,11458709,11688533,11751519,11889209,12232313,12253816,12374933,12755896,12766495,12966374,12971753,13169909,13226453,13233076,13327382,13649513,13785543,13867814,13974964,14014709,14154809,14345476,14350383,14490233,14765654,14852309,15085636,15123782,15319794,15599993,15659894,15765353,16013176,16232309,16572655,16587833,16930996,16996373,17132153,17240633,17260454,17376053,17512888,17524195,17667124,18014823,18130709,18144614,18237850,18760888,18985493,19010296,19012073,19135924,19674735,19701999,19758136,19779413,19887186,20077094,20269263,20600116,20722613,20759431,20904809,20986384,21029034,21088995,21105999,21216233,21371513,21386583,21423209,21500693,21695236,21818774,21885420,22227903,22254519,22271573,22450409,22494928,22501433,22511414,22883093,23029382,23035253,23344448,23514676,23609682,24092309,24130075,24391733,24404294,24602884,24640373,24946207,25209209,25258934,25306794,25504313,25651433,26115413,26262504,26493475,26735235,26962553,27131956,27466133,27633209,27704693,27918713,27989909,28137782,28415573,28440376,28473734,28517584,28533353,28570804,28815209,28956090,29119253,29328953,29398709,29468393,29529458,29545317,29656330,29920888,30144854,30161273,30167416,30207209,30276053,30720436,30886496,30892409,31051253,31140614,31232309,31471382,31727573,31792170,31906709,31995423,32063033,32082282,32158119,32174453,32364195,32573909,32674495,32788694,32794709,33190133,33215236,33233909,33612088,33660999,33911648,33933782,33938343,34102709,34521808,34747308,34988596,35071814,35084536,35172195,35342404,35381909,35587596,35697209,35739113,35880374,35948153,36322409,36570473,36673493,36754756,36845894,37040487,37185593,37246709,37287413,37459204,37517008,37522394,37551209,37628643,37810996,37813599,37954409,37965782,38150604,38214773,38266936,38283475,38394233,38513716,38691893,38837034,39085973,39209394,39470103,39869174,40018709,40391995,40440053,40535273,40964164,41121173,41158709,41925496,41994809,42010036,42184940,42206634,42216658,42397673,42543209,42685382,42994709,43030613,43050303,43141816,43267983,43529909,43695295,43767974,43794809,44005433,44197493,44371253,44405909,44526953,44630393,44996582,45041273,45092309,45397013,45477556,45899093,45932309,45940170,46130933,46147433,46377593,46378167,46393973,46512196,46677850,46833209,46962233,47166183,47314409,47631209,47788409,48146933,48301493,48439913,48470394,48534543,48941909,49002848,49075094,49241909,49568213,49656533,49832309,49889343,49942276,50509673,50552309,50621928,50736233,50904809,50932793,50974709,51001382,51155513,51646516,51838313,51851919,52092533,52092856,52198709,52238393,52291193,52434354,52665604,52747733,52760633,52825013,52842188,53066035,53257493,53603420,54094709,54214709,54358324,54446943,54487673,54510235,54534713,54999511,55067654,55123253,55128204,55448633,55456888,55694463,55756409,55778153,55810709,56013420,56047253,56094495,56132309,56570453,56631893,56703209,56753909,56824553,56854709,56874773,56894776,56949669,57058454,57181673,57222663,57442709,57471353,57518933,57556853,57604073,57702850,57722164,57753833,57837173,57864809,57883193,58029113,58110293,58181909,58183382,58297193,58471913,58506473,58549493,58602854,58604463,58660409,58786709,58795143,58881782,59074409,59178773,59313209,59391209,59392075,59406713,59506709,59529593,59710073,59747648,59791253,59834128,59929193,60002296,60007733,60092309,60161909,60173995,60249795,60264200,60318953,60345833,60543254,60581993,60639413,60658195,60677333,60724996,60752309,60826133,60844409,60982133,61005653,61034873,61205993,61211573,61229414,61261433,61438709,61480373,61531733,61577273,61681013,61690709,61720756,61728475,61748213,61818473,61846073,61900409,61911974,62022713,62182613,62202233,62259893,62308409,62362709,62388999,62421850,62577209,62616053,62664809,62673173,62732309,62762933,62775353,62799593,62847893,62890613,62908793,62961209,62969909,62989973,63017909,63022313,63036473,63039209,63044404,63048533,63079733,63095273,63104633,63106409,63131093,63143573,63149909,63150713,63152693,63252183,63374596,63400934,63499436,63679242,64006623,64246399,64266448,64324104,64358439,64573663,64606214,64692484,64960419,65270774,65412282,65667782,66333364,66843303,67216104,67313394,67502583,67797225,67967044,68082927,68314936,68668454,68848195,68864551,69243420,69732088,69821894,70457654,70649695,71270490,71843654,71856631,72093782,72208794,72299754,72317040,72364617,72503044,72789834,72895299,73088534,73264888,73340463,73499896,73859648,74030595,74074170,74196614,74906220,74985235,75377656,75488840,75535094,75612088,75618117,75708484,76021856,76137734,76736774,76854303,77138176,77300404,77332214,77349327,77389503,78244735,78448599,78570730,78887416,78965968,78980294,79012448,79169223,79638595,79724787,79899968,80520376,81116799,81117595,81246723,81285734,81356670,81558631,81626582,82047595,82191782,82422999,82617834,82659076,82687383,82697839,83092104,83138335,83533574,83612895,83907844,84219316,84745334,84779634,84799863,84841396,84890395,84924945,85063599,85168696,85181654,85321119,85462324,85524588,85772356,85962850,86040519,86583782,86780448,87301879,87310075,88176376,88498039,88549684,88748343,88828663,88836714,88856836,88889004,88901174,89187088,89560888,89776564,89887464,89982282,90424995,90585423,90586608,90713480,90785919,90830643,90943096,91303684,91327795,91357143,91550054,91613155,91633336,91780570,91912516,92246582,92248090,92616303,92716743,92739782,93229382,93478617,93715382,93893682,93908774,94249075,94284876,94554026,94939396,94962134,95075896,95566314,95814783,96093151,96142084,96220216,96370454,96453328,96555782,97210095,97341114,97541007,97628004,97819576,98377382,98377930,98457114,98533636,98618995,98831284,99089894,99198423,99266582,99643576,99757819,99766002,...,61433817717299606824049234657198667355359980887045529262555460074655766414769100730404638584746006672440009522926346332721569055889353425029090983758689778774659154275012844187394661798346553930029081221723806558942888820017497264108255323074785033661764677897968175841052729057467970189101749584039608536406773022166034334551575091242129685778768297433017528669536083921333702078639199775850216720409043577279620906397367767449493594911731467099608787709825665925903430892407656400840810881516378038655036816333017495050087535920906173481056334585172079133459325735828405318375864642919607918985234401385735264483308374827222687424239844827471933037197778575973926584966212350179269987805070798935709022231409727838921032217015190250390682814539061941488385757785069955955985593006697743735819604771007686173260420372848600466082446379972425101757719902172682835276082892885059892306162040175576976497194829755156082175800825483577407450779702057495293743929095158367769412912641224389741974091553095871985386342246210379708356426341896338669122780191872092234393687030848011785159889538496353314620359836762291851094919338587713815628577452534717471393584037740557956616927117829878569436282340035022094762230549599446907406015118717111695869694135182695575729518298330217548072920325090359580310756969507799176193654146225216725365323221829289643994888418642278293192540881560833389950836836429942645472270468875970909164466309023952250819969396144459586259892881382604663623931614826291227504347778977133903361949520935452050583861875912151362533448073825099054862131037799442870490156387332001830653546602097931982431414530220729770083908504149312664361321940910354843862447465632934344908736149210395209502982620739283753178085539380213253335504990698376778028279500512620433846562657250275186945231246096330886975641223126950231175887177082831022568521292553438063866644973977269326867224386628450223151182778960101780490262714938176039913331349223321803183156093956081997830294112256573324671257021499231279779764025096489290192250119634650260429724759236621664102127733388782138325679717837074756471713268531376837224481412943943359761418689359420723359797505336461667554531204354948362932098995019449575421924284871169153237798695862945651370189947969802244648678198517956192486645140003152086770817829174874359687448022021962847075122824706382779436435255818265341317573359777405643612132192781751725985316760284854570601137927510761144009185562105608877137877911552288773585621540957100891350982110765792040738962889}
15895 14091467881847108308856849417845543194463467175508891510380535642: {127112,143001,238305,254192,285966,524073,778169,1032005,1111670,1222529,1238406,1334004,1588100,1746470,1905720,2032768,2095764,2143935,2286864,2458145,2572722,2949774,3111892,3219377,3936441,4219401,4445560,4599110,4741841,4784673,5001255,5122457,5300705,5334672,5518932,5773205,5953875,6001506,6194073,6350800,6360846,6927846,7144650,7620960,7861049,8024654,8129024,8130305,8573580,8742377,9145152,9166502,9756366,10288296,10617233,10722089,11161409,11230070,11574333,11657129,11777673,11882945,12136241,12331281,12350405,12489110,12817505,13476084,14011529,14259534,14537073,14820486,14986932,15002741,15317270,15323777,15381006,15668692,15933761,15944870,16229681,16402229,16415777,16541345,16634009,16844729,17288369,17468705,17730857,17931845,18363086,18380724,18857045,19133844,19449561,19683062,19731281,19849614,19991073,20016470,20111033,20124857,20426392,20538254,20801721,20962446,21163745,21518214,21891110,21918761,22083905,22148481,22350341,22628454,22685673,22979691,23045369,23451110,23489841,23711297,23762870,23919905,23994389,24019764,24697670,24885329,24952886,25389254,25396494,25750145,25890681,26132513,26180777,26232980,26269332,26396489,26500686,26516248,26695817,27025684,27119045,27160529,27216921,27356775,27465614,28038712,28118660,28141332,28513046,28515444,28703886,29180560,29183414,29230841,29393345,29410577,29637204,29672692,29830779,29883473,30115641,30206582,30474821,30698969,30753605,30867761,30879953,30900174,31479576,31543551,31728902,32542854,32653457,32728161,32810369,32827382,32828130,33483569,33742392,33767121,33914945,34089926,34209326,34544073,35016672,35272014,35414523,35550470,35646980,35653829,35713505,35735033,36012902,36168017,36540374,36606441,36684809,36904326,37191257,37401110,37627094,37709270,37749089,37823654,37888401,37960191,38002337,38400545,38416433,38561846,38608120,39145889,39223046,39393756,40371209,40571921,40697934,40968617,41419793,41469593,41472449,41519045,41561417,42015110,42206673,42389560,42430742,42636494,42660564,42710601,42776376,42856206,42877492,42985553,43117142,43152260,43366889,43434135,43735745,43855670,43880486,44178005,44294187,44360054,44484495,44523137,44881332,45217281,45251124,45261329,45581249,45943445,46080654,46323446,46329744,46710921,46824005,46896260,47207073,47263745,47400821,47411369,47450128,47554529,47688255,47771462,47833670,48123423,48142145,48524777,48565913,48602801,48704846,49003253,49183041,49387316,49782929,49804814,49822854,50171524,50298401,50324873,50418132,50867472,50900673,51205205,51572774,51782712,51948374,52120962,52258382,52279192,52354862,52406870,52482894,52502009,52512545,52607721,52626804,52731175,53013606,53042057,53046326,53381394,53401361,53580881,53641094,53820561,53927270,54983702,55132134,55237046,55268841,55742534,55911014,56188806,56197529,56233142,56275512,56283591,56566229,56716494,56846945,56948673,56990453,57225906,57384494,57400404,57509561,57690644,57770574,57807374,57966737,58140245,58255551,58432502,58686497,58691333,58814091,59775569,59803761,60274766,60536774,60921557,60941894,61015577,61253560,61387142,61446246,61837556,61956569,61979366,62427845,62888244,63015054,63277410,63309951,63324987,63350261,63395537,63515717,63641633,63875726,63891713,64028073,64106777,64108622,64312409,64439729,64558145,64627192,64712724,65116070,65651961,65832005,65955449,66052735,66160577,66519124,66792569,66859094,66915953,67004275,67494137,67494873,67495904,67677734,67947905,68004182,68080097,68216334,68660174,68910255,68969702,69026489,69095222,69135892,69251561,69321110,69511982,69599081,69752321,69768294,69912472,70016775,70183733,70379126,70455329,70751129,71118470,71901449,72002726,72152705,72595924,72705591,72744782,73312262,73465109,73504272,73593113,73612641,73919969,74259284,74373062,74522609,74684560,74704046,74792660,74913414,75002870,75330250,75906245,75932892,76002833,76228769,76267577,76296884,76475801,76502073,77150945,77154329,77469774,77551529,78038702,78139284,78348101,78365777,78393524,78651531,78805505,78986582,78998406,79025654,79218245,79263282,79374295,79575209,79672982,79767377,80123534,80179169,80216774,80263721,80328326,80333060,80405130,80630897,80865605,81537486,81890489,81926822,82250894,82269941,82391681,82601481,82692306,82916705,82928582,83185332,83191409,83359457,83926421,84020130,84192689,84336244,84396662,84618053,84905656,84958805,85342164,85393670,85587681,85592129,85765472,85811252,85919201,86554275,86571953,86583246,86613892,86750561,87035414,87165110,87188129,87216376,87275073,87554702,87904281,87997313,88133201,88322673,88371833,88691366,88705142,88913201,89034389,89124404,89621472,89751192,90003444,90074297,90170969,90371534,90396300,90414257,90628805,90729422,90777236,90813977,90814881,90889541,91087494,91581110,91844121,91874870,92324560,92581134,92867961,93115829,93632775,93711857,93759593,93851657,94028011,94156214,94222070,94361050,94515110,94566606,94635605,94789526,94843214,95027320,95061894,95101401,95249154,95362601,95518863,95609441,95678369,95777486,96180953,96278392,96295577,96399672,96422720,96445382,96486156,96625505,96773129,96877766,96909321,96931013,97038726,97053112,97153529,97193174,97193732,97241033,97787284,97906161,98063609,98118423,98214617,98240753,98455889,98501673,98609270,98695382,98707460,98765560,98837873,99149366,99500046,99789521,99874960,...,81911756956399475765398979542931556473813307849394039016740613432874355219692134307206184779661342229920012697235128443628758741185804566705454645011586371699545539033350458916526215731128738573372108295631742078590518426689996352144340430766380044882352903863957567788070305409957293585468999445386144715209030696221379112735433454989506247705024396577356704892714778561778269438185599701133622293878724769706161208529823689932658126548975289466145050279767554567871241189876875201121081175355170718206715755110689993400116714561208231308075112780229438844612434314437873757834486190559477225313645868514313685977744499769630249898986459769962577382930371434631902113288283133572359983740094398580945362975212970451894709622686920333854243752718749255317847677046759941274647457342263658314426139694676914897680560497131467288109928506629900135676959869563577113701443857180079856408216053567435968662926439673541442901067767311436543267706269409993724991905460211157025883883521632519655965455404127829313848456328280506277808568455861784892163706922496122979191582707797349046879852717995137752827146449016389134793225784783618420838103270046289961858112050320743942155902823773171425915043120046696126349640732799262543208020158289482261159592180243594100972691064440290064097227100120479440414342626010398901591538861633622300487097629105719525326517891523037724256721175414444519934449115239923527296360625167961212219288412031936334426625861525946115013190508510139551498575486435054970005797038636178537815932694580602734111815834549535150044597431766798739816174717065923827320208516442669107538062136130575976575219373627639693445211338865750219148429254547139791816596620843912459878314865613860279337310160985711670904114052506951004447339987597835704037706000683493911795416876333700249260308328128441182634188297502600308234516236110441363424695056737917418488859965303025769156299182171266964201577038613469040653683619917568053217775132297762404244208125274775997107058816342097766228342695332308373039685366795319053589666826179533680572966345648828885469503644518376184434239623782766341962284358041835782965975217258591146348558252479227631146396673781948890072708272473264483909465326692599433895899046494892204317064927817260868493586597293069659531570931357274923315526853337536115694423772233165812916597362695950462766830432941843705915247007757687121756764479703207524816176257042335634647089013713139427468183903347681525345580749474145169517170548736385031447495387942801188467976147687722720985283852}
15896 14153323034939953652473161210123097209850822576507978243303301925: {111223,158890,190668,222418,301663,317740,381288,412906,428949,539818,586783,698764,1155079,1249543,1651208,1667505,1720783,1778672,1857609,1985125,2001006,2246866,2382150,2471023,2540960,2564479,2619705,2794352,2858580,3049152,3064618,3143646,3252946,3378418,3430296,3587743,3859083,3889865,3933032,4004818,4326463,4424661,4667838,4877479,4941418,5128306,5243383,5248588,5252818,5556950,5625868,6379564,6618226,6668340,6898665,6989266,7055623,7112818,7112896,7298026,7358576,7852786,7938500,8002008,8040079,8258764,8278398,8395903,8481128,8839063,9002259,9142186,9237128,9280423,9456463,9526200,9541269,9692626,9753706,10161280,10391769,10716975,10767583,10971946,11396818,11431440,11460223,11881426,12036981,12193536,12304618,12405079,12425386,12860370,13008488,13028266,13256479,13389226,13689586,13717728,13749753,14408818,14436343,14634549,15020983,15432444,15483346,15703564,15850063,16018666,16441708,16508143,16671943,16845105,17262706,17810479,17873093,17968112,17970418,18558418,18733665,18851818,19012712,19014679,19261906,19382764,19585865,19760648,19904746,19982576,20138026,20214126,20508008,20603818,20907703,21063583,21300586,21389301,21452023,22223503,22226026,22230729,22480398,22917418,22975905,23071509,23201717,23377066,23503038,23778418,23917305,24120703,24420079,24464626,24507632,24533873,24718303,24749866,24792679,25237423,25511792,25532990,25932748,25943506,26192143,26339818,26452906,26466152,26654764,26990479,27299026,27544629,27571086,27708679,27735628,27949928,27993943,28029418,28309618,28690952,28700766,28842823,28980466,29402983,29481881,29524593,29531308,29704618,29774421,30024705,30165679,30171272,30247564,30639588,30807381,30919663,31199986,31319788,31443669,31530706,32026352,32201479,32277321,32464618,32791225,32836665,33145310,33175666,33782105,33861992,33942681,33992746,34107823,34264306,34481266,34520908,34752106,35025776,35048390,35070103,35148325,35176665,35334248,35387263,35644305,35765479,35828263,36029646,36141103,36261418,36289228,36475700,36637903,36699679,37007479,37046505,37090865,37429329,37521776,37556983,37859743,37970986,38020592,38024146,38083881,38094741,38271848,39346543,39349470,39403998,39516272,39558826,39751029,39774372,40154188,40538526,41183983,41198421,41200232,41445226,41518862,41631823,41687479,41743063,41809618,41964679,41972768,42058068,42177990,42211998,42432466,42743026,42769569,42773166,42846418,43001386,43055479,43055829,43390472,43536943,43637548,43770840,43775121,44326423,44455806,44509038,44543146,44558725,44637679,44900818,44989856,45002866,45022828,45309873,45404479,45455023,45744293,45766186,46058764,46070506,46155079,46350261,46352503,46401679,46688896,46695223,47029352,47130679,47219364,47593353,48030823,48184618,48260150,48768679,48783466,48808588,48814281,48950263,49205768,49241073,49242195,49265263,49280746,49892414,50418418,50517868,50613588,51008626,51134889,51302866,51313989,51371479,51739543,51941503,52221223,52230826,52340023,52525008,52770079,52908021,52986950,53153479,53325705,53342479,53470470,53596865,53898679,53925106,53935183,53940325,54019353,54224623,54263912,54403183,54438679,54810561,54824383,54932266,55099423,55266418,55356489,55409386,55436743,55668583,55799479,55837426,55979818,56101665,56275564,56440641,56548793,56563905,56735481,56774863,56831146,56865583,56880752,56895679,56947468,57035168,57066706,57141608,57309463,57482479,57630418,57765079,57842769,57903679,57912180,58238506,58282183,58620325,58657906,58672063,58797418,58798423,58834569,58936786,59058916,59070079,59090634,59312660,59518783,59632543,59677543,59841776,59984479,60111703,60174343,60277303,60289708,60322546,60334832,60378463,60414418,60552106,61046901,61173413,61207903,61224679,61291063,61404463,61440872,61635583,61734145,61766479,61772992,61784818,61836679,61918543,62036479,62102506,62208343,62281228,62376823,62464618,62548183,62576263,62621623,62639263,62714405,62746903,62792479,62835463,62942764,62948863,62976223,63022665,63051679,63102583,63117343,63165943,63170479,63455146,63584340,63646113,63813418,63954741,63990846,64126066,64164564,64284309,64316238,64348906,64675713,64728390,65147818,65348990,65577388,65589418,65783505,65820729,66380266,66430472,66467818,66540081,67224176,67321998,67823296,67867564,67876686,68205418,69043616,69120981,69485169,69494616,69977192,70143628,70169072,70344390,70684808,70763818,71175192,71394418,71478226,71657193,71750505,71760748,71896306,72113305,72644818,73057269,73140946,73346986,73509512,73691788,74080974,74292449,74371186,74493418,74574826,74707221,74734281,74918408,75034016,75044788,75102418,75257286,75621992,75627198,75908818,75931564,76301208,76314329,76429546,76533872,76566950,76788466,77027432,77296945,77359161,77383786,77674068,77922561,78171946,78181443,78387573,78418788,78532293,78610305,78724341,78940206,79520409,79569489,79738348,80037418,80072091,80461641,80783990,80880106,80890905,81070546,81928328,82242346,82317418,82475553,82698201,82855569,83148905,83613801,83850992,83866521,83989618,84020072,84243593,84283209,84349713,84369880,84413268,84433316,84795346,84921473,85074741,85086418,85370764,85838859,85989418,86061226,86076741,86100606,86283632,86419865,86535966,86655861,86711061,87059818,87390590,87535948,87589618,87648753,88010866,88394986,88742506,88811818,89053906,89260786,89993164,90082546,90184618,90412149,90744905,90794026,90805161,90955112,91412841,91798186,91864618,91880340,92080713,92169369,92261866,92294866,92755186,92756334,92787946,92824105,92969049,93024392,93355700,93490825,93666418,93924466,94332366,94522581,94628818,94916115,95262418,95371105,95576818,95813589,96162933,96293866,96387473,96602986,96879826,96940788,97069086,97674105,97883818,97991905,98005696,98150188,98483818,98909573,99136426,99313066,99664618,99778686,99884552,...,122867635434599213648098469314397334710719961774091058525110920149311532829538201460809277169492013344880019045852692665443138111778706850058181967517379557549318308550025688374789323596693107860058162443447613117885777640034994528216510646149570067323529355795936351682105458114935940378203499168079217072813546044332068669103150182484259371557536594866035057339072167842667404157278399551700433440818087154559241812794735534898987189823462934199217575419651331851806861784815312801681621763032756077310073632666034990100175071841812346962112669170344158266918651471656810636751729285839215837970468802771470528966616749654445374848479689654943866074395557151947853169932424700358539975610141597871418044462819455677842064434030380500781365629078123882976771515570139911911971186013395487471639209542015372346520840745697200932164892759944850203515439804345365670552165785770119784612324080351153952994389659510312164351601650967154814901559404114990587487858190316735538825825282448779483948183106191743970772684492420759416712852683792677338245560383744184468787374061696023570319779076992706629240719673524583702189838677175427631257154905069434942787168075481115913233854235659757138872564680070044189524461099198893814812030237434223391739388270365391151459036596660435096145840650180719160621513939015598352387308292450433450730646443658579287989776837284556586385081763121666779901673672859885290944540937751941818328932618047904501639938792288919172519785762765209327247863229652582455008695557954267806723899041870904101167723751824302725066896147650198109724262075598885740980312774664003661307093204195863964862829060441459540167817008298625328722643881820709687724894931265868689817472298420790419005965241478567506356171078760426506671009981396753556056559001025240867693125314500550373890462492192661773951282446253900462351774354165662045137042585106876127733289947954538653734448773256900446302365557920203560980525429876352079826662698446643606366312187912163995660588224513146649342514042998462559559528050192978580384500239269300520859449518473243328204255466777564276651359435674149512943426537062753674448962825887886719522837378718841446719595010672923335109062408709896725864197990038899150843848569742338306475597391725891302740379895939604489297356397035912384973290280006304173541635658349748719374896044043925694150245649412765558872870511636530682635146719554811287224264385563503451970633520569709141202275855021522288018371124211217754275755823104577547171243081914201782701964221531584081477925778}
15897 14215447580693620021051320899075411271829660591195014992699797592: {238335,254224,286002,333627,397175,476610,508384,571932,619359,809727,873455,1048146,1444807,1556338,2064010,2223340,2445058,2476812,2668008,3001509,3176200,3370299,3441403,3492940,3573225,3811440,4065536,4191528,4287870,4573728,4596927,4715469,4879419,4916290,5067627,5145444,5725099,5899548,6007227,6223784,6438754,6560735,7001757,7032335,7412127,7420987,7692459,7872882,7879227,7974455,8082487,8335425,8438802,8891120,9198220,9483682,9569346,9923125,9927339,10002510,10244914,10323455,10483899,10601410,10669227,10669344,10947039,11037864,11382427,11546410,11779179,11907750,12003012,12388146,12417597,12547639,12701600,12721692,13713279,13776607,13855692,14289300,14428139,14538939,14630559,15241920,15465263,15722098,16049308,16258048,16260610,16457919,16636123,17095227,17147160,17290567,17484754,17822139,17944507,18290304,18331903,18333004,18456927,18638079,19081463,19290555,19512732,19542399,19605839,19629455,19907407,20083839,20534379,20552135,20576592,21092059,21234466,21444178,21613227,21661687,22289567,22322818,22460140,23148666,23157883,23225019,23314258,23555346,23733743,23765890,23891783,24027999,24228455,24272482,24456187,24662562,24700810,24978220,25104583,25164847,25635010,25792943,25806299,25894059,26399863,26952168,26955627,27049199,27837627,28023058,28277727,28519068,28691087,28892859,29074146,29629243,29640972,29857119,29973864,30005482,30145019,30207039,30288407,30321189,30463943,30634540,30647554,30762012,30883879,30905727,30917467,31337384,31867522,31889740,31950879,32098807,32415935,32459362,32526023,32804458,32831554,33082690,33268018,33318455,33339039,33487867,33689458,33720597,34339919,34376127,34576738,34669535,34908827,34937410,35065599,35073023,35254557,35461714,35667627,35863690,36050203,36640679,36696939,36726172,36761448,36914135,37124799,37714090,37809455,37966663,38212943,38267688,38299485,38662363,38802587,38899122,38915259,39149735,39350327,39366124,39462562,39509727,39679359,39699228,39846623,39982146,40032940,40222066,40249714,40852784,40948539,40962839,41076508,41135963,41150683,41356629,41566699,41603442,41924892,42044127,42327490,42464427,42640687,43036428,43051149,43055047,43151135,43470699,43782220,43788443,43837522,44167810,44183183,44296962,44356919,44556927,44700682,45120763,45256908,45361535,45371346,45401239,45482347,45594625,45959382,46090738,46181543,46799979,46902220,46979682,47296059,47422594,47480923,47525740,47839810,47988778,48039528,48696927,48906383,49009519,49395340,49587287,49717965,49763499,49770658,49905772,49998907,50192735,50778508,50792988,50989119,51396459,51500290,51721899,51781362,52128159,52265026,52361554,52465960,52522367,52538664,52572585,52792978,53001372,53032496,53391634,53675519,53760763,54044469,54051368,54238090,54289103,54321058,54392127,54433842,54546935,54713550,54931228,56077424,56200807,56237320,56278535,56282664,56956479,57026092,57030888,57036219,57396079,57407772,57533783,57573455,58126663,58361120,58366828,58461682,58786690,58821154,59024205,59105997,59274408,59282299,59338239,59345384,59353799,59661558,59766946,59784863,60231282,60413164,60807789,60949642,61010735,61230043,61316123,61397938,61507067,61507210,61735522,61759906,61800348,61849207,61964443,61977767,62167839,62278293,62499263,62714427,62809003,62959152,63087102,63147335,63266985,63317997,63457804,63549383,63648699,64114539,64159749,64269627,64320823,64502079,65085708,65306914,65456322,65553607,65620738,65654764,65656260,65928263,66047963,66169243,66311663,66683709,66688943,66763557,66814719,66967138,67351227,67399003,67484784,67504299,67534242,67767643,67829890,68088799,68179852,68418652,68649279,68895419,69088146,69090863,69105759,69332639,70033344,70344455,70544028,70829046,71100940,71184335,71287403,71293960,71307658,71427010,71470066,71687287,72025804,72276927,72336034,72390225,73080748,73175199,73212882,73369618,73517563,73808652,73823645,73921119,73929367,74140825,74382514,74760503,74802220,74838621,75212839,75253739,75254188,75362135,75418540,75498178,75627627,75647308,75776802,75920382,76004674,76512939,76801090,76832866,76954299,77123692,77216240,77851535,78291778,78346239,78446092,78678455,78787512,79480425,79585723,80205705,80360443,80742418,80887659,81143842,81395868,81396343,81692987,81937234,81971735,82108063,82313303,82398399,82697999,82839586,82899627,82939186,82944898,83038090,83114079,83122834,83579207,83756139,83820119,83969727,84030220,84413346,84779120,84834455,84861484,85114139,85246719,85272988,85321128,85421202,85552752,85600059,85712412,85754984,85885147,85971106,86095823,86234284,86304520,86445627,86733778,86868270,86973679,87357759,87398983,87471490,87679535,87711340,87760972,87986859,88196127,88356010,88405179,88588374,88635951,88720108,88968990,89046274,89244527,89528423,89700935,89762664,90381403,90434562,90483819,90502248,90522658,90621627,90828159,91162498,91651807,91886890,92114735,92161308,92164807,92473829,92646892,92659488,92677227,93127663,93153759,93177527,93421842,93648010,93696927,93776783,93792520,93805985,93920783,94212959,94414146,94527490,94801642,94822738,94900256,94914455,95109058,95127067,95182719,95376510,95542924,95667340,95720127,95986269,96189099,96246846,96284290,96474357,96523359,96649723,97049554,97092585,97131826,97205602,97409692,97721727,98006506,98023485,98227099,98366082,98384127,98774632,98785643,98850439,99309803,99442103,99509023,99565858,99570399,99609628,99645708,99672935,99701727,...,184301453151898820472147703971596002066079942661136587787666380223967299244307302191213915754238020017320028568779038998164707167668060275087272951276069336323977462825038532562183985395039661790087243665171419676828666460052491792324765969224355100985294033693904527523158187172403910567305248752118825609220319066498103003654725273726389057336304892299052586008608251764001106235917599327550650161227130731838862719192103302348480784735194401298826363129476997777710292677222969202522432644549134115965110448999052485150262607762718520443169003755516237400377977207485215955127593928758823756955703204157205793449925124481668062272719534482415799111593335727921779754898637050537809963415212396807127066694229183516763096651045570751172048443617185824465157273355209867867956779020093231207458814313023058519781261118545801398247339139917275305273159706518048505828248678655179676918486120526730929491584489265468246527402476450732222352339106172485881231787285475103308238737923673169225922274659287615956159026738631139125069279025689016007368340575616276703181061092544035355479668615489059943861079510286875553284758015763141446885732357604152414180752113221673869850781353489635708308847020105066284286691648798340722218045356151335087609082405548086727188554894990652644218760975271078740932270908523397528580962438675650176095969665487868931984665255926834879577622644682500169852510509289827936416811406627912727493398927071856752459908188433378758779678644147813990871794844478873682513043336931401710085848562806356151751585627736454087600344221475297164586393113398328611470469161996005491960639806293795947294243590662189310251725512447937993083965822731064531587342396898803034726208447631185628508947862217851259534256618140639760006514972095130334084838501537861301539687971750825560835693738288992660926923669380850693527661531248493067705563877660314191599934921931807980601673159885350669453548336880305341470788144814528119739994047669965409549468281868245993490882336769719974013771064497693839339292075289467870576750358903950781289174277709864992306383200166346414977039153511224269415139805594130511673444238831830079284256068078262170079392516009385002663593613064845088796296985058348726265772854613507459713396087588836954110569843909406733946034595553868577459935420009456260312453487524623079062344066065888541225368474119148338309305767454796023952720079332216930836396578345255177955950280854563711803413782532283432027556686316826631413633734656866320756864622871302674052946332297376122216888667}
15898 14277842683186307971459743645746381075198351853237151309586530253: {174757,222446,269977,317780,381336,429003,444836,603326,635480,714915,762576,825812,857898,1079636,1173566,1397528,1407001,1572219,1595497,1689637,2065477,2159257,2310158,2334507,2346601,2499086,2627077,2779175,3096015,3302416,3335010,3441566,3557317,3557344,3667587,3715218,3927397,3970250,4002012,4019737,4204201,4366175,4493732,4764300,4939177,4942046,5081920,5128958,5239410,5396197,5445811,5588704,5717160,6098304,6129236,6214297,6287292,6431805,6505892,6666277,6756836,6860592,7175486,7374435,7718166,7779730,7866064,8009636,8011417,8652926,8722201,8849322,9164101,9335676,9658131,9754958,9882836,10256612,10486766,10497176,10505636,11113900,11251736,11497775,11519257,11809323,12035497,12378217,12658203,12759128,13229977,13236452,13336680,13797330,13906201,13978532,14074537,14111246,14158597,14225523,14225636,14225792,14354019,14596052,14717152,15003765,15161701,15327877,15367371,15705572,15877000,15902115,16004016,16080158,16517528,16556796,16791806,16962256,16973797,17319615,17380777,17678126,17861625,18004518,18028201,18284372,18430501,18474256,18560846,18582219,18671017,18912926,19052400,19070437,19082538,19385252,19507412,19784857,20061635,20322560,20415001,20783538,20962597,21429157,21433950,21535166,21738757,21943892,22507717,22793636,22862880,22916255,22920446,23583147,23762852,24073962,24387072,24390915,24398617,24609236,24810158,24850772,25511557,25720740,25952197,26016976,26056532,26227131,26463001,26512958,26608297,26778452,26970277,27379172,27420211,27435456,27499506,27760297,28075175,28258501,28612201,28817636,28872686,28964101,29269098,29453737,30041966,30216037,30864888,30966692,31222775,31407128,31700126,31851699,32037332,32166267,32384101,32517157,32621963,32848537,32883416,32914597,33016286,33243817,33343886,33484227,33690210,33831877,34525412,34722999,34842223,34971387,35181337,35333019,35620958,35648835,35746186,35749957,35936224,35940836,36408723,36437017,36561001,36993843,37051215,37116836,37298857,37467330,37663897,37703636,38025424,38029358,38086501,38266537,38293175,38452515,38523812,38684101,38765528,39171730,39521296,39567001,39809492,39862175,39965152,40276052,40428252,40719001,41016016,41115397,41171737,41207636,41815406,41842201,42034587,42118501,42127166,42228517,42556837,42601172,42778602,42904046,43044457,43611219,44420377,44447006,44452052,44461458,44782501,44885317,44960796,45008223,45141097,45797701,45834836,45907715,45947497,45951810,45971331,46143018,46403434,46754132,46881157,46929577,47006076,47026201,47294947,47505001,47556836,47599897,47801283,47834610,48241406,48302437,48689043,48840158,48929252,49015264,49067746,49206687,49207655,49247331,49258777,49436606,49437337,49499732,49585358,49624035,49902027,50041175,50226601,50474846,50534187,50655001,50950597,51023584,51065980,51345635,51612997,51865107,51865496,51887012,51927211,52217257,52384286,52406115,52679636,52766617,52905812,52932304,53192571,53309528,53712517,53795535,53980958,54005701,54543001,54598052,54718501,54727775,54788197,55064101,55089258,55142172,55417358,55471256,55569001,55799077,55899856,55987886,56058836,56153497,56217001,56571135,56619236,56684101,56896537,57046117,57223237,57381904,57401532,57685646,57850501,57905797,57960932,58204777,58348683,58598437,58627775,58805966,58826857,58963762,59049186,59062616,59193843,59407175,59409236,59430757,59548842,59568997,59881477,59973219,60049410,60200617,60331358,60333099,60342544,60364201,60374571,60495128,60503557,60658501,61147417,61279176,61522501,61599001,61614762,61717657,61744175,61775257,61839326,61994137,62020201,62084101,62182597,62382215,62399972,62405163,62429701,62549797,62639576,62668201,62887338,62938597,63010201,63061412,63069637,63137317,63169177,63172201,63186601,63473135,63491235,64052704,64402958,64554642,64929236,65582450,65673330,65756283,66251715,66290620,66351332,66445443,67051023,67564210,67723984,67885362,67985492,68057019,68215646,68528612,68664035,68939073,68962532,69041816,69136107,69504212,70051552,70096780,70140206,70296650,70353330,70469523,70668496,70774526,71133891,71282615,71288610,71530958,71656526,71759715,71983167,72059292,72282206,72522836,72578456,72951400,72958535,73275806,73399358,74014958,74093010,74181730,74655987,74858658,75035611,75043552,75113966,75516455,75719486,75941972,76041184,76048292,76167762,76189482,76543696,77250435,77672043,78397539,78542331,78693086,78698940,78807996,79032544,79117652,79189467,79322255,79502058,79548744,80087451,80308376,81077052,81357135,81481587,81650763,82068455,82070325,82367966,82396842,82400464,82890452,83037724,83263646,83374958,83486126,83619236,83929358,83945536,84116136,84355980,84423996,84864932,85224815,85486052,85523315,85539138,85546332,85692836,86002772,86110958,86111658,86427803,86780944,87073886,87275096,87541680,87550242,87692523,87800167,88180035,88231731,88652846,88876175,88911612,89018076,89086292,89117450,89275358,89492337,89650419,89801636,89979712,90005732,90032255,90045656,90346923,90619746,90808958,90910046,91350935,91424463,91488586,91532372,92096907,92117528,92141012,92260815,92310158,92603283,92639859,92700522,92705006,92803358,93377792,93390446,93502775,94058704,94067735,94261358,94273175,94438728,94559135,94630653,95186706,96061646,96369236,96404615,96520300,97537358,97566932,97617176,97628562,97900526,97960371,98057615,98184483,98411536,98431107,98482146,98484390,98530526,98561492,99784828,...,245735270869198427296196938628794669421439923548182117050221840298623065659076402921618554338984026689760038091705385330886276223557413700116363935034759115098636617100051376749578647193386215720116324886895226235771555280069989056433021292299140134647058711591872703364210916229871880756406998336158434145627092088664137338206300364968518743115073189732070114678144335685334808314556799103400866881636174309118483625589471069797974379646925868398435150839302663703613723569630625603363243526065512154620147265332069980200350143683624693924225338340688316533837302943313621273503458571678431675940937605542941057933233499308890749696959379309887732148791114303895706339864849400717079951220283195742836088925638911355684128868060761001562731258156247765953543031140279823823942372026790974943278419084030744693041681491394401864329785519889700407030879608690731341104331571540239569224648160702307905988779319020624328703203301934309629803118808229981174975716380633471077651650564897558967896366212383487941545368984841518833425705367585354676491120767488368937574748123392047140639558153985413258481439347049167404379677354350855262514309810138869885574336150962231826467708471319514277745129360140088379048922198397787629624060474868446783478776540730782302918073193320870192291681300361438321243027878031196704774616584900866901461292887317158575979553674569113172770163526243333559803347345719770581889081875503883636657865236095809003279877584577838345039571525530418654495726459305164910017391115908535613447798083741808202335447503648605450133792295300396219448524151197771481960625549328007322614186408391727929725658120882919080335634016597250657445287763641419375449789862531737379634944596841580838011930482957135012712342157520853013342019962793507112113118002050481735386250629001100747780924984385323547902564892507800924703548708331324090274085170213752255466579895909077307468897546513800892604731115840407121961050859752704159653325396893287212732624375824327991321176449026293298685028085996925119119056100385957160769000478538601041718899036946486656408510933555128553302718871348299025886853074125507348897925651775773439045674757437682893439190021345846670218124817419793451728395980077798301687697139484676612951194783451782605480759791879208978594712794071824769946580560012608347083271316699497438749792088087851388300491298825531117745741023273061365270293439109622574448528771127006903941267041139418282404551710043044576036742248422435508551511646209155094342486163828403565403928443063168162955851556}
15899 14340509511486919029078930457913743332321625852653496188918809075: {333669,397225,476670,508448,556045,572004,667254,794350,904989,953220,1016768,1032265,1143864,1222837,1238718,1286847,1349545,1619454,1746910,1760349,1921117,2096292,2889614,3112676,3465237,3748629,4128020,4446680,4890116,4953624,5002515,5059021,5162349,5336016,5572827,5617165,5955375,6003018,6200869,6352400,6740598,6882806,6985880,7146450,7413069,7622880,7661545,7693437,7859115,8131072,8132365,8383056,8446045,8575740,9147456,9185029,9193854,9430938,9758838,9832580,9845269,10012045,10135254,10290888,10763229,11164237,11450198,11577249,11669595,11799096,12014454,12353077,12353545,12447568,12820765,12877508,12979389,13121470,13132045,13273983,13738021,13892375,14003514,14064670,14452837,14632437,14824254,14841974,15384918,15730149,15745764,15758454,15870469,15948910,16164974,16545565,16670850,16848997,16877604,17051437,17473165,17539357,17782045,17782240,18245065,18277129,18396440,18967364,19138692,19288237,19618969,19631965,19846250,19854678,20005020,20489828,20646910,20695995,20967798,21166869,21202820,21223429,21326341,21338454,21338688,21463669,21566749,21894078,22018117,22075728,22764854,22855465,23092820,23170537,23558358,23815500,24006024,24080221,24120237,24231565,24310729,24361669,24384265,24776292,24835194,24911869,25095278,25187709,25403200,25443384,25796221,26139157,26517189,26533237,26588377,26702581,27006777,27167437,27426558,27429865,27481237,27553214,27711384,27841269,27966121,28048969,28369389,28492045,28578600,28623807,28703149,28772989,28856278,28914661,29077878,29227369,29261118,29703565,30482569,30483840,30705229,30761545,30930526,31001449,31063465,31175307,31444196,31949989,32066509,32098616,32150925,32302749,32315989,32516096,32521220,32570665,32915838,33272246,33442249,33473065,33851749,33919837,34190454,34223965,34294320,34380669,34497949,34581134,34769197,34969508,35644278,35889014,36015037,36022045,36110943,36177181,36580608,36663806,36666008,36913854,37215237,37276158,37366237,37999309,38162926,38581110,38708365,39025464,39084798,39105517,39199261,39211678,39258910,39508297,39527869,39769437,39814814,39851689,40046665,40076989,40167678,40381477,41068758,41104270,41141221,41153184,41249259,41480197,41482957,42184118,42468932,42888356,43156765,43226454,43309029,43323374,43377877,43903647,44369449,44534461,44579134,44645636,44920280,44926045,45062949,45272797,45382309,45955957,46002829,46216621,46297332,46315766,46396045,46450038,46628516,46645837,47096029,47110692,47129545,47467486,47531780,47550189,47783566,48055998,48154765,48241237,48456910,48537349,48544964,48615229,48912374,49325124,49365949,49366477,49401620,49524429,49593589,49761865,49820521,49956440,50015829,50209166,50311189,50329694,50345065,50535315,51270020,51509545,51585886,51612598,51679789,51788118,51940489,52216489,52279237,52617037,52799726,52933237,53055589,53251465,53431437,53619279,53896429,53904336,53911254,54098398,54809629,55565065,55675254,56046116,56200995,56211877,56293837,56555454,57038136,57044037,57293545,57382174,57647557,57785718,58148292,58442665,58565149,58701469,58757595,58898857,59258486,59281944,59319997,59446045,59714238,59792461,59947728,60010964,60290038,60340309,60411589,60414078,60576814,60642378,60927886,61025737,61161565,61269080,61295108,61524024,61767758,61811454,61834934,61874665,61985689,62350669,62507209,62674768,62681497,62723109,63190749,63411661,63506149,63557509,63735044,63779480,63832475,63901758,63907957,64081177,64159849,64167903,64197614,64356069,64831870,64858765,64918724,65052046,65608916,65663108,65846569,65849545,66016429,66132265,66165380,66536036,66636910,66670509,66678078,66692187,66809557,66975734,67378916,67441194,67908469,68247565,68286877,68679838,68752254,68927715,69153476,69214527,69269269,69339070,69605151,69616837,69817654,69832549,69874820,70073545,70131198,70146046,70269829,70382281,70509114,70774045,70923428,71025781,71041549,71335254,71627677,71727380,71751915,72100406,72362109,72451165,72461149,72464509,73260237,73281358,73393878,73452344,73462021,73522896,73601619,73828270,74154909,74249598,74261545,74378037,74525977,74534701,74975077,75428180,75618910,75712269,75933326,76240909,76248157,76253221,76365709,76425886,76535376,76598970,77324726,77605174,77798244,77830518,77999965,78230317,78299470,78368329,78576429,78700654,78732248,78789949,78826765,78925124,79019454,79358718,79398456,79693246,79964292,80065880,80444132,80499428,80602837,80965609,80971437,81161545,81703429,81705568,81897078,81911317,81925678,82153016,82271926,82301366,82412749,82503157,82633887,82713258,82842649,82863275,82939165,83126037,83133398,83206884,83589829,83830837,83849784,83981829,84088254,84248749,84469717,84654980,84928854,84981865,85281374,85415029,85501321,85660765,86072856,86102298,86110094,86203165,86302270,86528469,86845981,86880265,86941398,87505477,87564440,87576886,87580189,87620975,87675044,88208949,88335620,88336141,88366366,88406269,88445643,88573779,88593924,88713838,88936237,89113854,89255869,89323263,89401364,90074115,90241526,90437341,90497037,90513816,90653545,90723070,90742692,90802478,90912649,90964694,91189250,91918764,91997221,92181476,92323909,92363086,92422143,92758989,93599958,93788701,93804440,93933037,93959364,94224937,94331007,94592118,94845188,94927465,94961846,95051480,95060365,95633749,95679620,95702797,95881621,95977556,96079056,96560509,96604437,96831963,96955657,97393854,97812766,98019038,98373675,98482237,98509995,98790680,98897065,99174574,99322429,99435930,99454741,99526998,99541316,99658069,99811544,99997814,...,368602906303797640944295407943192004132159885322273175575332760447934598488614604382427831508476040034640057137558077996329414335336120550174545902552138672647954925650077065124367970790079323580174487330342839353657332920104983584649531938448710201970588067387809055046316374344807821134610497504237651218440638132996206007309450547452778114672609784598105172017216503528002212471835198655101300322454261463677725438384206604696961569470388802597652726258953995555420585354445938405044865289098268231930220897998104970300525215525437040886338007511032474800755954414970431910255187857517647513911406408314411586899850248963336124545439068964831598223186671455843559509797274101075619926830424793614254133388458367033526193302091141502344096887234371648930314546710419735735913558040186462414917628626046117039562522237091602796494678279834550610546319413036097011656497357310359353836972241053461858983168978530936493054804952901464444704678212344971762463574570950206616477475847346338451844549318575231912318053477262278250138558051378032014736681151232553406362122185088070710959337230978119887722159020573751106569516031526282893771464715208304828361504226443347739701562706979271416617694040210132568573383297596681444436090712302670175218164811096173454377109789981305288437521950542157481864541817046795057161924877351300352191939330975737863969330511853669759155245289365000339705021018579655872833622813255825454986797854143713504919816376866757517559357288295627981743589688957747365026086673862803420171697125612712303503171255472908175200688442950594329172786226796657222940938323992010983921279612587591894588487181324378620503451024895875986167931645462129063174684793797606069452416895262371257017895724435702519068513236281279520013029944190260668169677003075722603079375943501651121671387476577985321853847338761701387055323062496986135411127755320628383199869843863615961203346319770701338907096673760610682941576289629056239479988095339930819098936563736491986981764673539439948027542128995387678678584150578935741153500717807901562578348555419729984612766400332692829954078307022448538830279611188261023346888477663660158568512136156524340158785032018770005327187226129690177592593970116697452531545709227014919426792175177673908221139687818813467892069191107737154919870840018912520624906975049246158124688132131777082450736948238296676618611534909592047905440158664433861672793156690510355911900561709127423606827565064566864055113372633653262827267469313732641513729245742605348105892664594752244433777334}
15900 14403449239676284250197225303834405354759225105900035136589125681: {174779,206531,301739,349514,365171,444892,539954,635560,650219,715005,762672,858006,889672,1000881,1191525,1206652,1270960,1312811,1429830,1525152,1532891,1627091,1651624,1715796,1721219,1783931,1858077,2003171,2159272,2190779,2347132,2378099,2429181,2565131,2620365,2627411,2720771,2795056,2814002,3144438,3190994,3379274,3588659,3650411,3742979,3890845,3927899,4020251,4130954,4235459,4318514,4334421,4388939,4572851,4620316,4669014,4693202,4939811,4998172,5153339,5160025,5254154,5427299,5558350,5579219,5791571,6033779,6112645,6192030,6604832,6670020,6697211,6787379,6883132,6937499,7057451,7114634,7114688,7117379,7335174,7430436,7506131,7685099,7834019,7854794,7940500,8004024,8039474,8042171,8309219,8408402,8723339,8732350,8752859,8987464,8988731,9004527,9077051,9194699,9370931,9528600,9634739,9781019,9878354,9884092,10043819,10110897,10163840,10247771,10257916,10324209,10393211,10478820,10654499,10719675,10792394,10891622,11030771,11177408,11203979,11376899,11434320,11520779,11635739,12196608,12208619,12258472,12290725,12408371,12428594,12465371,12574584,12636179,12863610,13011784,13260011,13316531,13332554,13513672,13721184,13790781,14146407,14244491,14350972,14496059,14579771,14638257,14748870,15025019,15080531,15191459,15202881,15329939,15357611,15436332,15559460,15578699,15732128,15854339,16019272,16022834,16096885,16101731,16321091,16512611,16676459,17003291,17139131,17175297,17305852,17444402,17464331,17653499,17698644,17869211,18021681,18057539,18328202,18671352,18700259,19073051,19316262,19509916,19682205,19765672,19866611,20050739,20513224,20809379,20965499,20973532,20991491,20994352,21005271,21011272,21097005,21354539,21457979,21509651,21587099,21741779,21998939,22227800,22236381,22262961,22280891,22357619,22503472,22612859,22841891,22968851,22995550,23038514,23077377,23120939,23600651,23618646,23637681,23709205,23923365,24052451,24070994,24247461,24426971,24650819,24725291,24756434,25006275,25316406,25518256,25612285,26199611,26248259,26459954,26466779,26472904,26503525,26612099,26673360,26998211,27549659,27594660,27645131,27716651,27764291,27788099,27812402,27957064,28002011,28086289,28120571,28149074,28222492,28317194,28451046,28451272,28451584,28616339,28708038,28866025,29108579,29192104,29411531,29434304,29458019,29481251,29769375,29782017,29898059,30007530,30174491,30220451,30289331,30323402,30381059,30655754,30723899,30734742,30906011,30970365,30974171,31064939,31132931,31381619,31411144,31451697,31651811,31754000,31804230,31808891,32007681,32008032,32082757,32144171,32160316,32654771,32809331,32841117,33035056,33051419,33113592,33532691,33583612,33924512,33947594,34147281,34483619,34639230,34676219,34761554,34932011,35207819,35334659,35337537,35356252,35461211,35723250,35776331,35943659,36009036,36056402,36068819,36152099,36193691,36459841,36568744,36587219,36649091,36690299,36861002,36948512,37059731,37121692,37164438,37202699,37252791,37263851,37342034,37642917,37669691,37825852,37871411,37971971,38104800,38140874,38165076,38553229,38709899,38770504,38808779,39014824,39305245,39475859,39569714,39767219,39863939,40037531,40123270,40516331,40645120,40651525,40668491,40830002,40914659,41139837,41140691,41197019,41329821,41567076,41570699,41793371,41867339,41925194,42014891,42125219,42143579,42253571,42399779,42618131,42858314,42867900,42943499,43069331,43070332,43105211,43284417,43319819,43391099,43477514,43616817,43639571,43711885,43887784,43891677,43904051,44026859,44479571,44548739,44600531,44789819,44909771,45015434,45114491,45469979,45587272,45725760,45832510,45840892,45921851,46004891,46395789,46400699,46498931,46710779,46953539,47034059,47050139,47166294,47178491,47338211,47525704,47623691,47702531,48147924,48171371,48217859,48326051,48372299,48464579,48774144,48781830,48797234,48815651,49147499,49218472,49222379,49282139,49373757,49460651,49620316,49701544,49755611,49908369,50235299,50407571,50578691,50663819,51001451,51023114,51043331,51285681,51348251,51417011,51441480,51622091,51635699,51865811,51871701,51904394,52033952,52113064,52120259,52239779,52266251,52305899,52358651,52454262,52659491,52788971,52827659,52926002,52968899,53025916,53086165,53172611,53197931,53216594,53361731,53386811,53466417,53474339,53556904,53610445,53833521,53940554,54160451,54208499,54553019,54564779,54728579,54758344,54840422,54870912,54995709,54999012,55085699,55187939,55345691,55370781,55457411,55479659,55520594,55579379,55689419,55807045,55820411,55842131,55914237,55971779,56036171,56150350,56195891,56353811,56517002,56633531,56694899,56766131,56887331,56907419,56917451,57057059,57204899,57224402,57244389,57350939,57476051,57504731,57533339,57635272,57745372,57871019,57871665,57898691,57926291,57928202,57944651,58090379,58285645,58305131,58322819,58358099,58538196,58584299,58610051,58627197,58669859,58746179,58817517,58838579,58888365,58907474,59109971,59414725,59512259,59565851,59656811,59722221,59739179,59827931,59893739,59901011,59966099,60083932,60150491,60178379,60213059,60251517,60336251,60376739,60383459,60403571,60432074,60436931,60476699,60652091,60677579,60681205,60696611,60734459,60765779,60864659,60882971,61009139,61044539,61183259,61245299,61278731,61317371,61328339,61398851,61430939,61535819,61540979,61571771,61587059,61603137,61617419,61642499,61656405,61687139,61729776,61752025,61793531,61859219,61933384,61954811,61972619,62007851,62038259,62097899,62200499,62220419,62236211,62244059,62255771,62324531,62372579,62426339,62443859,62445550,62515259,62576819,62620331,62629451,62650451,62656379,62668139,62694131,62716691,62814256,62935211,62959451,62978771,62982539,63020171,63031931,63040091,63067811,63072179,63082091,63084851,63123539,63130139,63135419,63163691,63176579,63190619,63198011,63200651,63202331,63202499,63276177,63400252,63703398,64074664,64087525,64270801,64332534,64768202,64839681,64985061,65034314,65243926,65697074,65766832,65829194,66032572,66487634,66687772,66868701,66968454,67380420,67663754,68890717,69050824,69445998,69473649,69675057,69684446,69942774,70057645,70362674,70666038,71201229,71241916,71297670,71492372,71499914,71675349,71872448,71881672,71883889,72083997,72685365,72817446,72874034,73122002,73368561,73987686,74102430,74233672,74597714,74934660,75013705,75313749,75327794,75407272,75494541,76050848,76058716,76173002,76533074,76586350,76618885,76905030,77047624,77368202,77378829,77418897,77531056,77682177,78343460,79042592,79134002,79199589,79618984,79668805,79724350,79930304,80552104,80856504,80866881,81147597,81148405,81438002,82011145,82032032,82078885,82230794,82343474,82415272,82706725,83170045,83512881,83630812,83684402,84069174,84223645,84237002,84254332,84457034,84833181,85113674,85202344,85557204,85808092,86073261,86088914,86441845,86678577,87222438,87335101,87343525,88654285,88840754,88862389,88887729,88894012,88904104,88922916,89565002,89571357,89659225,89770634,89921592,90016446,90282194,90435057,90621117,90865221,90963567,91391829,91595402,91669672,91815430,91894994,91903620,91942662,92286036,92651637,92717181,92752401,92806868,93508264,93762314,93859154,94012152,94052402,94285225,94589894,95010002,95113672,95199794,95602566,95669220,95852637,96129649,96296421,96482812,96604874,97247805,97378086,97578069,97680316,97858504,98030528,98135492,98413374,98415310,98494662,98517554,98656405,98873212,98874674,98999464,99170716,99248070,99795661,99804054,99955365,...,552904359455696461416443111914788006198239827983409763362999140671901897732921906573641747262714060051960085706337116994494121503004180825261818853828208008971932388475115597686551956185118985370261730995514259030485999380157475376974297907673065302955882101081713582569474561517211731701915746256356476827660957199494309010964175821179167172008914676897157758025824755292003318707752797982651950483681392195516588157576309907045442354205583203896479089388430993333130878031668907607567297933647402347895331346997157455450787823288155561329507011266548712201133931622455647865382781786276471270867109612471617380349775373445004186818158603447247397334780007183765339264695911151613429890245637190421381200082687550550289289953136712253516145330851557473395471820065629603603870337060279693622376442939069175559343783355637404194742017419751825915819479119554145517484746035965539030755458361580192788474753467796404739582207429352196667057017318517457643695361856425309924716213771019507677766823977862847868477080215893417375207837077067048022105021726848830109543183277632106066439005846467179831583238530860626659854274047289424340657197072812457242542256339665021609552344060468907124926541060315198852860074946395022166654136068454005262827247216644260181565664684971957932656282925813236222796812725570192585742887316026950528287908996463606795953995767780504638732867934047500509557531527869483809250434219883738182480196781215570257379724565300136276339035932443441972615384533436621047539130010794205130257545688419068455254756883209362262801032664425891493759179340194985834411407485988016475881919418881387841882730771986567930755176537343813979251897468193193594762027190696409104178625342893556885526843586653553778602769854421919280019544916285391002254515504613583904619063915252476682507081214866977982780771008142552080582984593745479203116691632980942574799804765795423941805019479656052008360645010640916024412364434443584359219982143009896228648404845604737980472647010309159922041313193493081518017876225868403611730251076711852343867522833129594976919149600499039244931117460533672808245419416782391535020332716495490237852768204234786510238177548028155007990780839194535266388890955175046178797318563840522379140188262766510862331709531728220201838103786661605732379806260028368780937360462573869237187032198197665623676105422357445014927917302364388071858160237996650792509189735035765533867850842563691135410241347596850296082670058950479894240901203970598962270593868613908022158838996892128366650666001}
15901 14466663046868482373695152237797629750648419293859891146438526201: {15901,524271,556115,667338,778463,794450,809931,953340,1016896,1112090,1144008,1287009,1334508,1445171,1508315,1588700,1809978,1889363,1906440,2033536,2064530,2144745,2270411,2287728,2445674,2477436,2573694,2699090,2933915,3238908,3493820,3520698,3842234,4192584,4221003,4716657,4786491,5068911,5407919,5775395,5779228,5978843,6196431,6225352,6247715,6477771,6930383,6930474,7003521,7039803,7497258,7864031,7881231,8256040,8337525,8603915,8893360,9288045,9780232,9907248,9925625,10005030,10118042,10324698,10671951,10672032,10726163,11002761,11145654,11234330,11385311,11661551,11782191,11824463,11910750,12006036,12059211,12355115,12401738,12612603,12701051,12704800,12822395,13098525,13481196,13765612,13971760,14016863,14292900,14599091,14817531,14826138,15245760,15323090,15386874,15718230,16188591,16235843,16262144,16264730,16337433,16408451,16766112,16892090,17151480,17294963,17737583,17886671,17938715,17949071,18015563,18294912,18370058,18384863,18387708,18642891,18861876,19295415,19449325,19517676,19665160,19690538,19912451,19998831,20024090,20270508,20581776,20728331,21526458,21632315,21927083,22123305,22191251,22328474,22900396,23054111,23154498,23163791,23339190,23598192,23720303,24003491,24028908,24034251,24387395,24462431,24706154,24707090,24894863,24895136,25543091,25641530,25755016,25958778,25987331,26021411,26032763,26142479,26166603,26216915,26242940,26264090,26547966,27170891,27476042,27484751,27492303,27505763,27784750,27885371,28007028,28129340,28198511,28458443,28905674,28974393,29264874,29648508,29683948,29894819,30486443,30769836,30891731,31460298,31491528,31516908,31740938,31897820,31997651,32106971,32329948,32665883,32822831,33091130,33341700,33697994,33755208,33924191,34102874,34137971,34493325,34557771,34946330,35078714,35278115,35427969,35564090,35564480,35667371,35748611,36106491,36390959,36490130,36554258,36792880,37134651,37934728,37974609,38277384,38401811,38431151,38576474,38672159,39160763,39237938,39263930,39450059,39689931,39692500,39709356,39888863,40010040,40200395,40386611,40619951,40979656,41293820,41391990,41435531,41485499,41584991,41718603,41935596,41975363,41979515,42223611,42333738,42405640,42446858,42475791,42651491,42652682,42676569,42676908,42677376,42927338,43062057,43066163,43133498,43488851,43788156,44036234,44151456,44195315,44540123,45011295,45132239,45485103,45493871,45529708,45598931,45710930,45983631,46102113,46185640,46215611,46341074,46402115,46560239,46862291,47116716,47250491,47282315,47429411,47631000,47706345,47913551,48012048,48160442,48197711,48240474,48463130,48584591,48621443,48621458,48723338,48768530,49022051,49552584,49670388,49713263,49823738,50190556,50317583,50344031,50375418,50430863,50806400,50886768,50921391,51039371,51592442,51958845,52142331,52278314,52623791,53034378,53066474,53176754,53256419,53405162,53584875,53837915,54013554,54084603,54191711,54334874,54619643,54619871,54853116,54859730,54962474,55106428,55291503,55422768,55682538,55746657,55932242,56013051,56065331,56097938,56587763,56650319,56738778,56984090,57012371,57157200,57211311,57247614,57301115,57406298,57545978,57712556,57829322,58155756,58454738,58522236,59297423,59354571,59370851,59407130,59661899,60065171,60184905,60419471,60965138,60967680,61245003,61410458,61523090,61861052,62002898,62025395,62126930,62183771,62350614,62825039,62887791,62888392,62896463,63419723,63899978,63916079,64089371,64133018,64197232,64287471,64301850,64464251,64605498,64631978,64665359,64954463,65032192,65042440,65141330,65216271,65739131,65831676,65981363,66282395,66544492,66818051,66884498,66946130,67416671,67523151,67657931,67703498,67784879,67839674,68128931,68380908,68447930,68588640,68748765,68761338,68995898,69162268,69278123,69538394,69666611,69939016,70105451,70210451,70483091,70749441,70778063,71034863,71288556,71620139,71762783,71778028,72030074,72044090,72113363,72181715,72221886,72354362,73161216,73172745,73195851,73327612,73332016,73493363,73815563,73827708,73948163,74430474,74552051,74552316,74612879,74732474,75056411,75104915,75952259,75998618,76031951,76257851,76325852,76534671,77087051,77162220,77416730,77791091,77856591,78048143,78050928,78169596,78211034,78398522,78423356,78517820,78569711,78681393,79016594,79055738,79250315,79389003,79538874,79629628,79703378,79720163,79824891,80093330,80153978,80210963,80335356,80762954,80910831,81819731,81921731,82137516,82208540,82260633,82282442,82306368,82423283,82498518,82540715,82960394,82965914,83224463,83280891,83293739,83359715,84225525,84368236,84481199,84650891,84775503,84937864,85626191,85776712,85836603,85906991,86313530,86452908,86618058,86624531,86646748,86755754,86892303,87755363,87807294,88361211,88590191,88738898,89052395,89068922,89158268,89291272,89365465,89840560,89852090,90117443,90125898,90545594,90648111,90764618,90802271,90824483,90924203,91341899,91911914,92005658,92189363,92433242,92454011,92585171,92588843,92594664,92631532,92792090,92835359,92900076,93257032,93291674,93668325,93874463,94192058,94221384,94259090,94934972,95063560,95073395,95100378,95546591,95555097,95567132,95645903,95829659,96111996,96218639,96309530,96482474,96498801,96674399,96913820,96967979,97074698,97089928,97152303,97191611,97230458,97278431,97503731,97551471,97800239,97824748,97865889,97929325,98102963,98355251,98545611,98650248,98731898,98732954,98743791,98803240,98875571,99048858,99083663,99187178,99393971,99523730,99641042,99731451,99912880,...,737205812607595281888590815886384008264319770644546351150665520895869196977229208764855663016952080069280114275116155992658828670672241100349091805104277345295909851300154130248735941580158647160348974660685678707314665840209967169299063876897420403941176134775618110092632748689615642269220995008475302436881276265992412014618901094905556229345219569196210344034433007056004424943670397310202600644908522927355450876768413209393923138940777605195305452517907991110841170708891876810089730578196536463860441795996209940601050431050874081772676015022064949601511908829940863820510375715035295027822812816628823173799700497926672249090878137929663196446373342911687119019594548202151239853660849587228508266776916734067052386604182283004688193774468743297860629093420839471471827116080372924829835257252092234079125044474183205592989356559669101221092638826072194023312994714620718707673944482106923717966337957061872986109609905802928889409356424689943524927149141900413232954951694692676903689098637150463824636106954524556500277116102756064029473362302465106812724244370176141421918674461956239775444318041147502213139032063052565787542929430416609656723008452886695479403125413958542833235388080420265137146766595193362888872181424605340350436329622192346908754219579962610576875043901084314963729083634093590114323849754702600704383878661951475727938661023707339518310490578730000679410042037159311745667245626511650909973595708287427009839632753733515035118714576591255963487179377915494730052173347725606840343394251225424607006342510945816350401376885901188658345572453593314445881876647984021967842559225175183789176974362648757241006902049791751972335863290924258126349369587595212138904833790524742514035791448871405038137026472562559040026059888380521336339354006151445206158751887003302243342774953155970643707694677523402774110646124993972270822255510641256766399739687727231922406692639541402677814193347521221365883152579258112478959976190679861638197873127472983973963529347078879896055084257990775357357168301157871482307001435615803125156697110839459969225532800665385659908156614044897077660559222376522046693776955327320317137024272313048680317570064037540010654374452259380355185187940233394905063091418454029838853584350355347816442279375637626935784138382215474309839741680037825041249813950098492316249376264263554164901473896476593353237223069819184095810880317328867723345586313381020711823801123418254847213655130129133728110226745267306525654534938627465283027458491485210696211785329189504488867554668}
15902 14530152117232247937133875732888915705341273626345946408830651982: {206557,349558,413062,603478,681937,699028,730342,889784,1001007,1079908,1191675,1250017,1271120,1300438,1430010,1525344,1668135,1716012,1779344,1985875,2001762,2383050,2413304,2541920,2565457,2625622,2714967,2859660,3050304,3065782,3096795,3254182,3303248,3431592,3442438,3496417,3567862,3668511,3716154,3774301,3860541,4006342,4048635,4318544,4367275,4381558,4420177,4694264,4756198,4858362,5130262,5240730,5254822,5281047,5441542,5447183,5590112,5628004,5763351,6288876,6336637,6381988,6758548,7148257,7177318,7224035,7300822,7485958,7781690,7855798,8040502,8261908,8310301,8470918,8557703,8637028,8668842,8754001,8777878,9145702,9240632,9338028,9372157,9386404,9636001,9811537,9879622,9996344,10074301,10306678,10320050,10395711,10508308,10771837,10854598,11116700,11158438,11245887,11583142,12067558,12225290,12238801,12384060,12495517,13209664,13340040,13394422,13574758,13766264,13769377,13874998,14114902,14229268,14229376,14234758,14670348,14860872,15007545,15012262,15177063,15359677,15370198,15487047,15608401,15668038,15709588,15881000,16008048,16078948,16084342,16596817,16618438,16718481,16816804,16851495,17207015,17250001,17446678,17464700,17505718,17866125,17974928,17977462,18009054,18154102,18301597,18389398,18602607,18741862,19057200,19269478,19562038,19756708,19768184,20087638,20221794,20289697,20327680,20495542,20515832,20603617,20648418,20786422,20957640,20994397,21228001,21308998,21383377,21439350,21584788,21783244,22061542,22239207,22354816,22407958,22535639,22616017,22753798,22868640,22984635,22997437,23041558,23080311,23149501,23271478,23577345,24393216,24397095,24417238,24516944,24581450,24803197,24816742,24857188,24877537,24930742,25149168,25272358,25338135,25727220,25764001,26023568,26276317,26520022,26633062,26665108,27027344,27442368,27555087,27581562,27792097,28148317,28292814,28488982,28625495,28701944,28992118,29136157,29159542,29276514,29485537,29497740,29535807,29902417,30036135,30050038,30161062,30382918,30385501,30405762,30659878,30715222,30872664,30933277,31118920,31157398,31408801,31464256,31708678,32038544,32045668,32193770,32203462,32282557,32289687,32642182,32803675,33025222,33192887,33352918,33492711,33537697,33733501,34006582,34278262,34350594,34510237,34611704,34731747,34888804,34928662,35008785,35161675,35306998,35397288,35466577,35738422,35844577,35857199,35970001,36043362,36115078,36656404,36716497,37059231,37060635,37104935,37342704,37400518,38146102,38462295,38632524,38938167,39019832,39188797,39306301,39364410,39396135,39482017,39531344,39733222,39821949,39872275,39889501,40101478,40293457,40412435,40465501,41026448,41214063,41595901,41618758,41677125,41707357,41762977,41930998,41947064,41982982,41988704,42010542,42022544,42150301,42194010,42424801,42709078,42915958,43019302,43088903,43130077,43174198,43358511,43483558,43504801,43664317,43897311,43928737,43997878,44400157,44455600,44472762,44525922,44561782,44715238,45006944,45070801,45225718,45477457,45562907,45683782,45929437,45937702,45991100,46077028,46154754,46241878,46424797,47058001,47154337,47190447,47201302,47237292,47275362,47418410,47611407,47846730,48104902,48141988,48494922,48839137,48853942,49155901,49301638,49450582,49512868,49615625,49636695,50012550,50546991,50632812,51036512,51154311,51224570,51439777,51617275,51644797,51928801,52009297,52328401,52399222,52407457,52419495,52496518,52618071,52837117,52919908,52933558,52945808,53007050,53182177,53220157,53224198,53346135,53346720,53484001,53964637,53996422,54468637,54504097,54574801,54735195,54831387,55027343,55099318,55164157,55189320,55290262,55433302,55528582,55534417,55576198,55624804,55914128,56004022,56172578,56241142,56298148,56444984,56634388,56902092,56902544,56903168,56912135,56928337,56958397,57225697,57232678,57416076,57544477,57601501,57732050,57864711,57965137,58217158,58343137,58384208,58552801,58823062,58856907,58868608,58895895,58916038,58962502,59226397,59538750,59564034,59577937,59691517,59758801,59796118,59869501,59913277,60015060,60021457,60348982,60396001,60440902,60495901,60578662,60646804,60762118,61022077,61057501,61196639,61263997,61311508,61444177,61447798,61469484,61554301,61660897,61812022,61877437,61940730,61948342,62087985,62129878,62238301,62265862,62386657,62673757,62738195,62763238,62821501,62822288,62903394,62976337,63056797,63075517,63088801,63121057,63138877,63145501,63166417,63174301,63218401,63303622,63500607,63508000,63608460,63617782,63670287,63979023,64015362,64016064,64165514,64288342,64320632,64391007,64700247,65309542,65618662,65682234,66054351,66070112,66102838,66227184,67065382,67167224,67849024,67895188,68294562,68566395,68883035,68967238,69278460,69352438,69511611,69523108,69864022,70415638,70669318,70675074,70712504,70922422,71446500,71552662,71887318,72018072,72112804,72137638,72140695,72240663,72304198,72360711,72387382,72694695,72919682,72932187,73085007,73137488,73152795,73174438,73298182,73380598,73722004,73897024,74119462,74243384,74320631,74328876,74405398,74505582,74527702,74684068,74735607,75054623,75285834,75339382,75563127,75651704,75742822,75943942,76209600,76281748,76330152,77106458,77326315,77388663,77419798,77541008,77617558,78029648,78129863,78417471,78610490,78951718,79139428,79534438,79551567,79599711,79727878,79765131,80075062,80107743,80246540,81020331,81032662,81290240,81303050,81336982,81502311,81599903,81660004,81829318,82279674,82281382,82289595,82394038,82443711,82659642,83134152,83141398,83180615,83523807,83586742,83734678,83850388,83898363,84029782,84146907,84250438,84287158,84507142,84799558,84953687,85108167,85236262,85476135,85716628,85735800,85871421,85886998,86109447,86138662,86140664,86210422,86318967,86452835,86568834,86639638,86743983,86782198,86955028,87233634,87279142,87423770,87682107,87775568,87783354,87808102,88053718,88959142,89097478,89110695,89201062,89579638,89722535,89819542,90030868,90228982,90939958,91174544,91447707,91451520,91659515,91665020,91681784,91843702,92009782,92115687,92284635,92791578,92801398,92997862,93004347,93190395,93421558,93525921,93907078,94068118,94100278,94332588,94356982,94676422,95051408,95247382,95405062,95407315,95849967,96199527,96295848,96342742,96435718,96452775,96652102,96744598,96908247,96929158,96947967,97548288,97563660,97594468,97631302,97711995,98029195,98080703,98147275,98294998,98436944,98444758,98564278,98747514,98921302,99240632,99403088,99511222,99537035,99816738,...,1105808718911392922832886223829576012396479655966819526725998281343803795465843813147283494525428120103920171412674233988988243006008361650523637707656416017943864776950231195373103912370237970740523461991028518060971998760314950753948595815346130605911764202163427165138949123034423463403831492512712953655321914398988618021928351642358334344017829353794315516051649510584006637415505595965303900967362784391033176315152619814090884708411166407792958178776861986666261756063337815215134595867294804695790662693994314910901575646576311122659014022533097424402267863244911295730765563572552942541734219224943234760699550746890008373636317206894494794669560014367530678529391822303226859780491274380842762400165375101100578579906273424507032290661703114946790943640131259207207740674120559387244752885878138351118687566711274808389484034839503651831638958239108291034969492071931078061510916723160385576949506935592809479164414858704393334114034637034915287390723712850619849432427542039015355533647955725695736954160431786834750415674154134096044210043453697660219086366555264212132878011692934359663166477061721253319708548094578848681314394145624914485084512679330043219104688120937814249853082120630397705720149892790044333308272136908010525654494433288520363131329369943915865312565851626472445593625451140385171485774632053901056575817992927213591907991535561009277465735868095001019115063055738967618500868439767476364960393562431140514759449130600272552678071864886883945230769066873242095078260021588410260515091376838136910509513766418724525602065328851782987518358680389971668822814971976032951763838837762775683765461543973135861510353074687627958503794936386387189524054381392818208357250685787113771053687173307107557205539708843838560039089832570782004509031009227167809238127830504953365014162429733955965561542016285104161165969187490958406233383265961885149599609531590847883610038959312104016721290021281832048824728868887168718439964286019792457296809691209475960945294020618319844082626386986163036035752451736807223460502153423704687735045666259189953838299200998078489862234921067345616490838833564783070040665432990980475705536408469573020476355096056310015981561678389070532777781910350092357594637127681044758280376525533021724663419063456440403676207573323211464759612520056737561874720925147738474374064396395331247352210844714890029855834604728776143716320475993301585018379470071531067735701685127382270820482695193700592165340117900959788481802407941197924541187737227816044317677993784256733301332002}
15903 14593917640012469733921604487426766201008100891227739559122345812: {31802,524337,619593,778561,873785,905217,1048542,1095513,1112230,1334676,1349885,1556926,1588900,1619862,1906680,1921601,1950657,2033792,2111641,2145015,2224180,2288016,2574018,2669016,2683213,2890342,3002643,3016630,3177400,3574575,3619956,3778726,3812880,3938433,4067072,4107481,4129060,4289490,4540822,4575456,4598673,4881273,4891348,4954872,5147388,5163657,5351793,5398180,5574231,5867830,6009513,6391177,6477816,6572337,6987640,7035005,7041396,7134297,7287543,7684468,7695393,7861095,7882233,7977485,8085553,8162313,8385168,8442006,8448185,8746801,9433314,9572982,10137822,10327385,10765977,10796285,10815838,10951233,11228937,11550790,11558456,11672535,11733005,11783697,11957686,12045481,12060753,12392862,12450704,12495430,12706377,12955542,13003263,13135385,13166817,13718553,13781833,13860766,13860948,13895875,14007042,14079606,14433617,14819433,14994516,15010333,15460017,15471137,15480075,15728062,15762462,16281897,16512080,16675050,16737657,17207830,17297161,17374713,17543801,17786585,17786720,17951353,18101337,18337935,18338857,18576090,19560464,19636985,19814496,19851250,20010060,20091633,20098685,20135041,20236084,20362137,20649396,20812497,21021005,21138793,21172353,21343902,21344064,21352137,21452326,21830875,22005522,22291308,22298033,22468660,22518393,22711601,22770622,23055297,23323102,23502057,23564382,23648926,23821500,23900861,24012072,24118422,24126513,24695885,24710230,24803476,24927657,25114201,25174393,25225206,25402102,25409600,25644790,25816097,26170017,26197050,26258577,26962392,26966193,26980985,27013581,27229055,27231153,27531224,27584097,27943520,28033726,28112793,28585800,28904217,29095441,29198182,29245633,29343057,29635062,29652276,30131457,30156473,30285241,30299933,30332691,30491520,30646180,30743313,30773748,30895657,30972627,31071485,31179633,31436460,31963497,32111053,32159025,32324177,32377182,32471686,32524288,32529460,32538377,32674866,32816902,33092313,33325513,33331385,33532224,33611937,33784180,34130697,34142353,34302960,34352957,34562337,34589926,34907217,34922081,35475166,35773342,35877430,35898142,36031126,36589824,36625857,36679421,36703681,36740116,36769726,36775416,36872175,37225113,37285782,37396113,37723752,37908537,38008937,38227457,38590830,38817353,38898650,39035352,39330320,39365273,39381076,39780033,39824902,39861821,39949593,39997662,40048180,40057085,40541016,40978433,41163552,41372343,41456662,42439221,42733473,43007497,43052916,43184801,43264630,43488177,43611005,43739313,43805081,43854166,43914771,44246610,44373773,44382502,44656948,45075057,45137977,45214697,45241593,45418633,45574377,45608643,45800792,45820505,45967601,45989817,46072833,46108222,46145401,46199117,46308996,46327582,46622797,46678380,46736097,46913641,47196384,47440606,47451737,47563017,48006982,48057816,48068502,48290655,48305193,48774790,48924862,48925001,48963273,49028317,49378457,49389361,49412308,49414180,49537833,49555393,49789726,49790272,50029377,51009873,51086182,51283060,51417393,51510032,51525891,51648797,51917556,51974662,52042822,52065526,52284958,52333206,52392993,52433830,52485880,52528180,52960497,53095932,53302601,53607633,53910137,54065043,54172617,54341782,54952084,54969502,54984606,55011526,55025737,55569500,55770742,56014056,56100777,56258680,56280553,56397022,56916886,57219153,57418153,57488875,57555677,57596285,57811348,57948786,58529748,58771321,59046615,59297016,59367896,59599833,59789638,60152217,60177485,60972886,61530473,61539672,61783462,61873441,61891085,62191753,62428137,62523101,62896497,62920596,62974473,62983056,63015813,63033816,63291015,63481876,63573761,63795640,63995302,64063617,64213942,64373937,64528953,64659896,64761297,64962961,65225337,65266301,65331766,65645662,65953361,65996817,66073097,66149885,66182260,66195241,66355657,66683400,66709143,66788883,66842673,66950377,67072857,67395988,67510416,67793497,67838577,67848382,68205748,68275942,68283101,68525673,68906553,68986650,69115542,69232131,69359033,69362817,69531005,69892660,70157428,70372685,70509517,70556230,70792985,70801953,70855938,70913043,71059673,71127615,71128180,71128960,71315057,71334742,71497222,71629297,71770095,72157353,72212982,72742383,72781918,72965117,72980260,73108516,73280913,73300601,73585760,73952457,73957561,74175873,74269302,74344637,75018825,75373081,75808505,75869456,75949218,76272977,76422697,76554768,76639385,76803622,76836855,76862302,77152948,77181617,77344318,78321526,78475876,78527860,78598833,78744777,78900118,79201721,79379862,79385000,79400337,79418712,79451201,79510575,79777726,79836297,79959373,80020080,80221561,80400790,80773222,80883961,80994633,81211097,81239902,81959312,82139641,82587640,82648977,82783980,82871062,82935393,82970998,83149953,83169982,83180801,83292873,83364297,83437206,83852273,83871192,83886577,83901341,83950726,83959030,84006033,84258867,84304397,84361713,84447222,84491201,84667476,84811280,84868985,84893716,84951582,85302982,85305364,85353138,85353816,85354752,85849017,85854676,85917913,85978577,86124114,86129417,86132326,86266996,86598075,86835553,86868137,86903885,86977702,87325737,87576312,88072468,88178857,88234593,88302912,88374057,88390630,88443753,89080246,89308125,89346051,89694177,90022590,90141005,90226217,90264478,90523473,90661353,90867993,90970206,90987742,91059416,91143177,91197862,91421860,91967262,92152505,92171697,92204226,92371280,92431222,92682148,92718033,92795353,92804230,92808857,92855113,92911095,92922513,93120478,93194817,93355085,93398793,93724582,93807457,94144857,94233432,94248893,94355091,94500982,94564630,94761281,94858822,94932497,94955433,95262000,95352185,95412690,95426673,95827102,96023043,96024096,96248271,96320884,96395422,96432513,96480948,96926260,97169182,97242886,97242916,97446676,97537060,97964313,98044102,98427993,98523351,98888137,98924285,99105168,99154257,99340776,99347681,99426526,99647476,99795377,99841417,...,1658713078367089384249329335744364018594719483950229290088997422015705693198765719720925241788142180155880257119011350983482364509012542475785456561484624026915797165425346793059655868555356956110785192986542777091457998140472426130922893723019195908867646303245140747708423684551635195105747238769069430482982871598482927032892527463537501516026744030691473274077474265876009956123258393947955851451044176586549764472728929721136327062616749611689437268165292979999392634095006722822701893800942207043685994040991472366352363469864466683988521033799646136603401794867366943596148345358829413812601328837414852141049326120335012560454475810341742192004340021551296017794087733454840289670736911571264143600248062651650867869859410136760548435992554672420186415460196888810811611011180839080867129328817207526678031350066912212584226052259255477747458437358662436552454238107896617092266375084740578365424260403389214218746622288056590001171051955552372931086085569275929774148641313058523033300471933588543605431240647680252125623511231201144066315065180546490328629549832896318199317017539401539494749715592581879979562822141868273021971591218437371727626769018995064828657032181406721374779623180945596558580224839185066499962408205362015788481741649932780544696994054915873797968848777439708668390438176710577757228661948080851584863726989390820387861987303341513916198603802142501528672594583608451427751302659651214547440590343646710772139173695900408829017107797330325917846153600309863142617390032382615390772637065257205365764270649628086788403097993277674481277538020584957503234222457964049427645758256644163525648192315959703792265529612031441937755692404579580784286081572089227312535876028680670656580530759960661335808309563265757840058634748856173006763546513840751713857191745757430047521243644600933948342313024427656241748953781236437609350074898942827724399414297386271825415058438968156025081935031922748073237093303330753077659946429029688685945214536814213941417941030927479766123939580479244554053628677605210835190753230135557031602568499388784930757448801497117734793352381601018424736258250347174605060998149486470713558304612704359530714532644084465023972342517583605799166672865525138536391955691521567137420564788299532586995128595184660605514311359984817197139418780085106342812081387721607711561096594592996871028316267072335044783751907093164215574480713989952377527569205107296601603552527691073406230724042790550888248010176851439682722703611911796886811781605841724066476516990676385099951998003}
15904 14657960809551779989796458368041837264028780836276331575863615800: {47703,270079,365263,413114,699116,826124,1206956,1363874,1398056,1460684,1572813,1596103,1668345,1690279,1779568,1784383,1986125,2002014,2066263,2159816,2160079,2335389,2383350,2429793,2500034,2542240,2600876,2628079,2721463,2780225,2860020,3050688,3336270,3432024,3558688,3651343,3861027,3971750,4003524,4021279,4113583,4335513,4524945,4766100,4826608,5083840,5130914,5161325,5251244,5429934,5489503,5668089,5719320,6100608,6114185,6131564,6193590,6434235,6508364,6606496,6668863,6747725,6811233,6849223,6863184,6884876,6992834,7119223,7135724,7337022,7432308,7548602,7567783,7721082,7746703,8012684,8014543,8097270,8637088,8734550,8763116,8801745,8840354,9388528,9432079,9512396,9605585,9716724,9783583,10113649,10260524,10308679,10481460,10509644,10562094,10883084,10894366,11180224,11256008,11264623,11526702,11696263,12040279,12383143,12468679,12577752,12663009,12673274,12763976,13320079,13517096,14149971,14164279,14248303,14296514,14354636,14359473,14448070,14601644,14971916,15084583,15206733,15563380,15711596,15748423,16081004,16160983,16223757,16523816,16620602,16941836,16980703,17115406,17143783,17274056,17326185,17337684,17387863,17469079,17508002,17555756,17936529,18291404,18481264,18589293,18676056,18678679,18743145,18744314,18758743,18772808,19272002,19433313,19623074,19759244,19793023,19872079,19992688,20148602,20613356,20640100,20791149,20791422,21010563,21016616,21119409,21360463,21515623,21543674,21709196,22233400,22316876,22491774,22670143,22899103,23166284,23592093,23643693,24089821,24109279,24135116,24450580,24477602,24768120,24991034,25012575,25295105,25669663,25811745,25963279,26255743,26419328,26680080,26692279,26788844,27149516,27485863,27532528,27538754,27749996,27772279,27843703,27864135,28085825,28128679,28229804,28458536,28458752,28469516,28553983,29340696,29466583,29605903,29721744,29776875,30015090,30024524,30229279,30298183,30354126,30719354,30740396,30974094,31004345,31216802,31336076,31419176,31762000,31863103,32015853,32016096,32157896,32168684,32178489,32198263,32598079,32863183,32929279,33008283,33193634,33236876,33436962,33633608,33702990,34155933,34414030,34493983,34500002,34893356,34929400,34984653,35011436,35260783,35346573,35473389,35514079,35732250,35949856,35954924,36018108,36079783,36177633,36204703,36308204,36453679,36603194,36701503,36778796,37065345,37205214,37316023,37483724,37681279,37741903,37837809,38103153,38114400,38307725,38344183,38467185,38538956,38820823,39124076,39295575,39513416,39527143,39536368,40075693,40175276,40443588,40567183,40579394,40655360,40661825,40991084,41031664,41134903,41191279,41207234,41296836,41572844,41915280,41988794,42050589,42230225,42456002,42577279,42617996,42631783,42766754,42878700,43119079,43169576,43333783,43566488,43653679,43797273,43918279,44123084,44128663,44135597,44452593,44478414,44494063,44709632,44815916,44958679,45071278,45163303,45232034,45507596,45669823,45737280,45925145,45969270,45970279,45994874,46020103,46083116,46160622,46268143,46299002,46514383,46542956,46953079,47001463,47154690,47623903,47671279,48187663,48326983,48565773,48603679,48707529,48786432,48794190,48834476,49012299,49033888,49162900,49225353,49226345,49606394,49633484,49684543,49714376,49755074,49772743,49861484,50060225,50298336,50415761,50544716,50676270,50766343,50923249,51019279,51186463,51269623,51454440,51528002,51884143,51884889,51946909,52047136,52284823,52552634,52600183,52872343,53040044,53212749,53217079,53266124,53330216,53406079,53660013,53778679,53816145,53847213,54046689,54054688,54107863,54324079,54643543,54818503,54884736,55110174,55154589,55163124,55500343,55584194,55821185,55863079,55928673,56057263,56185279,56217103,56296634,56577409,56585628,56808079,56929183,56977964,57078943,57108679,57250990,57403888,57574663,57659983,57886245,57939703,57967279,57984236,58131223,58212223,58272314,58319084,58345783,58347975,58553028,58607503,58658983,58786423,58887079,58971074,58995480,59011279,59071614,59349463,59605279,59628103,59737353,59804834,59808103,59852383,59996493,60072270,60100076,60322124,60561079,60677503,60765836,60771002,60811524,61046863,61099783,61304983,61319756,61354663,61430444,61669303,61745328,61765385,61767725,61866554,62048383,62184993,62237840,62271943,62314796,62408023,62543743,62592703,62685223,62817602,62818279,62848663,62928512,62989279,63012463,63045079,63065383,63115279,63156463,63196279,63209023,63216079,63217663,63417356,64077088,64091336,64103825,64387540,64406924,64565114,64579374,64896945,65284364,65607350,65660225,65781249,66050444,66369915,66385774,66573753,66705836,66985422,67075394,67467002,68013164,68556524,68690105,68701188,69020474,69162333,69223408,69461875,69463494,69491373,69777608,69857324,70017570,70323350,70613996,70794576,70933154,71160909,71476844,71689154,71714398,71940002,72010473,72086724,72102753,72230156,72264185,73162185,73312808,73387293,73432994,74118462,74121270,74209870,74684589,74685408,74801036,76292204,76629273,76924590,77265048,77876334,77961993,78039664,78064233,78098289,78377594,78427437,78499809,78612602,78650745,78728820,78792270,78964034,79062688,79352345,79466444,79643898,79676989,79744550,79779002,80202956,80586914,80824870,80931002,81512673,82052896,82428126,82454253,82476909,82517289,82727825,83191802,83237516,83354250,83414714,83525954,83656113,83861996,83894128,83965964,83977408,84021084,84045088,84244985,84300602,84388020,84595533,84849602,85257185,85375329,85418156,85831916,86038604,86177806,86260154,86348396,86717022,86923179,86967116,87009602,87328634,87365825,87696785,87794622,87833473,87857474,87995756,88800314,88910225,88911200,88945524,89051844,89123564,89430476,89684457,90013888,90141602,90451436,90954914,91125814,91225325,91367564,91385645,91459329,91858874,91875404,91982200,92154056,92309508,92483756,92675193,92849594,94116002,94308674,94380894,94402604,94474584,94550724,94836820,95222814,95693460,95992953,96209804,96283976,96320913,96436249,96441185,96989844,97678274,97707884,97997649,98094845,98159825,98311802,98468493,98603276,98901164,99025736,99231250,99273390,...,2211617437822785845665772447659152024792959311933639053451996562687607590931687626294566989050856240207840342825348467977976486012016723301047275415312832035887729553900462390746207824740475941481046923982057036121943997520629901507897191630692261211823528404326854330277898246068846926807662985025425907310643828797977236043856703284716668688035658707588631032103299021168013274831011191930607801934725568782066352630305239628181769416822332815585916357553723973332523512126675630430269191734589609391581325387988629821803151293152622245318028045066194848804535726489822591461531127145105885083468438449886469521399101493780016747272634413788989589339120028735061357058783644606453719560982548761685524800330750202201157159812546849014064581323406229893581887280262518414415481348241118774489505771756276702237375133422549616778968069679007303663277916478216582069938984143862156123021833446320771153899013871185618958328829717408786668228069274069830574781447425701239698864855084078030711067295911451391473908320863573669500831348308268192088420086907395320438172733110528424265756023385868719326332954123442506639417096189157697362628788291249828970169025358660086438209376241875628499706164241260795411440299785580088666616544273816021051308988866577040726262658739887831730625131703252944891187250902280770342971549264107802113151635985854427183815983071122018554931471736190002038230126111477935237001736879534952729920787124862281029518898261200545105356143729773767890461538133746484190156520043176820521030182753676273821019027532837449051204130657703565975036717360779943337645629943952065903527677675525551367530923087946271723020706149375255917007589872772774379048108762785636416714501371574227542107374346614215114411079417687677120078179665141564009018062018454335618476255661009906730028324859467911931123084032570208322331938374981916812466766531923770299199219063181695767220077918624208033442580042563664097649457737774337436879928572039584914593619382418951921890588041236639688165252773972326072071504903473614446921004306847409375470091332518379907676598401996156979724469842134691232981677667129566140081330865981960951411072816939146040952710192112620031963123356778141065555563820700184715189274255362089516560753051066043449326838126912880807352415146646422929519225040113475123749441850295476948748128792790662494704421689429780059711669209457552287432640951986603170036758940143062135471403370254764541640965390387401184330680235801919576963604815882395849082375474455632088635355987568513466602664004}
15905 14722282825312234638435466134974227231582504127986683396454681248: {63604,619671,873895,1032655,1048674,1223299,1239186,1508695,1557122,1747570,1810434,1825855,1889839,2045811,2097084,2191026,2224460,2270983,2669352,2699770,2968999,3003021,3113852,3177800,3239724,3251095,3575025,3750051,3813360,3843202,3901314,4067584,4223282,4290030,4448360,4576032,5004405,5148036,5338032,5366426,5780684,5957625,6005286,6033260,6354800,6564055,7149150,7239912,7557452,7625760,7664455,7696371,7818487,7876866,8134144,8135455,8144901,8214962,8258120,8389411,8578980,8606095,8919655,9081644,9150912,9197346,9290385,9762546,9782696,9849007,9909744,10015855,10294776,10327314,10489251,10703586,10796360,10953895,11005533,11148462,11168479,11322903,11581623,11735660,11827459,11890495,12019026,12145905,12357763,12782354,12825655,12955632,13101825,13137055,13144674,13260531,13603855,13975280,14070010,14082792,14268594,14458339,14575086,15114799,15368936,15390786,15722190,15764466,15843141,15954970,16171106,16324626,16341549,16426207,16770336,16855399,16884012,16896370,17057911,17290053,17493602,17891203,17943295,18252055,18284071,18389539,18581299,18714895,18866628,19009911,19091119,19145964,19454225,19639495,20101255,20275644,20654770,20733583,21177295,21231487,21444771,21471811,21531954,21592570,21631676,21672105,21902466,21944695,22026499,22457874,22864255,23101580,23116912,23345070,23466010,23567394,23915372,24090962,24121506,24319951,24699055,24785724,24901219,24901408,24921331,24930903,24990860,25412754,25673109,25766695,25800125,25911084,26006526,26039359,26262003,26270770,26333634,26543311,26598463,26712727,26840983,27062887,27106279,27136495,27177799,27437106,27491779,27563666,27721532,27721896,27791750,27896095,28014084,28116471,28138159,28159212,28205683,28714051,28867234,28890499,28908003,28957855,29429407,29434611,29638866,29989032,30020666,30168895,30222903,30479359,30563225,30716887,30920034,30942274,30960150,31187133,31456124,31524924,32315511,32563794,33024160,33350100,33454951,33475314,33486055,33737661,33864631,33936895,34027999,34415660,34511047,34574239,34594322,34687495,34749426,34782403,35087602,35287255,35573170,35573440,35586895,35902706,36028711,36190927,36202674,36400243,36675870,36677714,36716403,37152180,37214887,37486551,37530655,37773379,38120677,38425495,38440963,39120499,39120928,39170095,39273970,39523303,39542911,39628992,39702500,39866887,40020120,40092211,40139143,40183266,40197370,40210855,40270082,40396879,40472168,40630243,40724274,40746247,40994647,41298792,41308131,41498719,41546095,41624994,41986039,42042010,42277586,42344706,42687804,42688128,42704274,42904652,43190323,43394359,43500079,43616695,43661750,43764295,44011044,44551447,44582616,44596066,44937320,44943655,45022635,45036786,45289999,45385255,45423202,45531189,45541244,45973495,46079031,46110594,46461141,46646204,46663939,46825203,46854655,47004114,47113951,47128764,47262463,47297852,47643000,47801722,48024144,48173695,48209923,48236844,48253026,48905095,49385263,49391770,49420460,49606952,49725859,49790451,49839487,49855314,50155443,50219095,50228402,50282023,50348786,50450412,50554485,50804204,50819200,51036583,51052303,51238855,51289580,51621045,51632194,51750003,51966055,52299139,52340034,52394100,52517154,52681219,53272495,53309443,53435551,53598375,53645383,53916991,53924784,53932386,53961970,54027162,54458110,54462306,54633763,54904791,54954547,55062448,55153855,55168194,55210783,55807821,55887040,56019895,56067452,56079919,56225586,56884495,57171600,57603895,57808434,58003567,58178695,58190882,58396364,58491266,58686114,58921279,59270124,59304552,60262914,60312946,60345703,60363271,60435799,60570482,60599866,60665382,60869091,60983040,61043095,61055407,61292360,61453625,61486626,61547496,61791314,61810851,61945254,62041855,62142970,62326855,62359266,62397799,62531047,62682499,62705359,62872920,62983191,62993983,63180895,63435847,63581887,63684003,63926994,64105759,64148707,64150131,64222106,64318050,64648354,64754364,64943372,65048576,65058920,65076754,65347843,65349732,65633804,66041551,66184626,66300055,66558703,66582655,66651026,66662770,66717621,66835039,67064448,67223874,67568360,67606917,67675399,67848051,67934311,67956367,68261394,68284706,68312863,68339623,68450023,68605920,68705914,68953905,68992311,69124674,69179852,69240933,69448503,69814434,69844162,70732035,70950332,71053027,71222455,71425687,71546684,71655463,71754860,71781091,71796284,71854399,72062252,72480295,72898855,73179648,73191285,73251714,73358842,73407362,73480232,73489987,73539452,73550832,73640743,73744350,74409591,74450226,74554639,74571564,74632611,74792226,75003619,75125095,75292723,75402655,75447504,75817074,75957295,76014405,76017874,76051363,76277239,76316407,76454914,76524391,76649695,76788055,77181660,77292003,77634706,77797300,77893495,78070704,78660640,78730546,78762152,78828951,79248499,79271695,79560066,79649804,79723642,79740439,79797943,79899186,79995324,80096360,80114170,80484425,80508655,80634799,80682127,81082032,81317239,81605455,81689263,81942559,81956866,82327104,82563055,82665261,82744686,82913324,83376291,83382295,83862991,84248479,84281431,84444951,84501943,84878442,85016455,85158403,85466946,85695655,85876485,85973791,85989571,86014994,86105832,86369602,86529260,86627983,86647519,86698063,86976354,87222010,87321655,87408471,87478626,87610162,87708332,87777751,87829542,88102663,88267495,88338559,88456611,88493220,88607421,88612723,88747546,88765004,89091679,89313896,89346055,89574127,89707251,90108405,90131527,90140791,90150114,90275954,90287695,90429394,90483186,90837266,91148754,91156503,91217286,91601584,91641010,91676359,91935202,91979634,92145666,92216444,92290802,92398234,92609839,92617992,92655164,92799831,92859043,93245594,93356760,93472194,93501295,93772087,93827282,93898339,93911287,94226403,94260871,94392768,94479331,94881212,94903474,94944883,95126034,95365255,95423191,95976751,96013964,96115632,96137004,96581310,96610386,96831139,96847671,96869061,97343407,97549580,97849724,97850002,97926546,98056634,98304583,98411025,98521759,98756914,98778722,98824616,98828360,98837299,99075666,99110179,99110786,99333055,99360307,99578661,99579452,99580544,...,3317426156734178768498658671488728037189438967900458580177994844031411386397531439441850483576284360311760514238022701966964729018025084951570913122969248053831594330850693586119311737110713912221570385973085554182915996280944852261845787446038391817735292606490281495416847369103270390211494477538138860965965743196965854065785054927075003032053488061382946548154948531752019912246516787895911702902088353173099528945457859442272654125233499223378874536330585959998785268190013445645403787601884414087371988081982944732704726939728933367977042067599292273206803589734733887192296690717658827625202657674829704282098652240670025120908951620683484384008680043102592035588175466909680579341473823142528287200496125303301735739718820273521096871985109344840372830920393777621623222022361678161734258657634415053356062700133824425168452104518510955494916874717324873104908476215793234184532750169481156730848520806778428437493244576113180002342103911104745862172171138551859548297282626117046066600943867177087210862481295360504251247022462402288132630130361092980657259099665792636398634035078803078989499431185163759959125644283736546043943182436874743455253538037990129657314064362813442749559246361891193117160449678370132999924816410724031576963483299865561089393988109831747595937697554879417336780876353421155514457323896161703169727453978781640775723974606683027832397207604285003057345189167216902855502605319302429094881180687293421544278347391800817658034215594660651835692307200619726285234780064765230781545274130514410731528541299256173576806195986555348962555076041169915006468444915928098855291516513288327051296384631919407584531059224062883875511384809159161568572163144178454625071752057361341313161061519921322671616619126531515680117269497712346013527093027681503427714383491514860095042487289201867896684626048855312483497907562472875218700149797885655448798828594772543650830116877936312050163870063845496146474186606661506155319892858059377371890429073628427882835882061854959532247879160958489108107257355210421670381506460271114063205136998777569861514897602994235469586704763202036849472516500694349210121996298972941427116609225408719061429065288168930047944685035167211598333345731050277072783911383043134274841129576599065173990257190369321211028622719969634394278837560170212685624162775443215423122193189185993742056632534144670089567503814186328431148961427979904755055138410214593203207105055382146812461448085581101776496020353702879365445407223823593773623563211683448132953033981352770199903996006}
15906 14786884891897085077576984531053333340792013289365541750972490058: {79505,95406,270113,301853,460433,540158,730526,745373,826228,1313309,1398232,1407713,1533473,1573011,1627709,1652248,1721873,1858779,2191613,2335683,2413912,2472593,2621355,2628413,2715651,2721809,2727748,2780575,2796112,2815133,2921368,3145626,3192206,3286539,3336690,3380558,3497309,3559133,3559136,3568766,3744413,3892315,3972250,4004028,4021793,4049655,4114109,4132526,4319632,4320158,4329233,4670778,4766700,4859586,5000068,5084480,5201752,5246753,5256158,5398973,5442926,5560450,5720040,5764803,5851971,5884733,6101376,6334923,6338273,6435045,6672540,6699809,6790013,6864048,7117376,7150109,7210013,7225855,7302686,7389533,7541575,7722054,7943500,8007048,8042558,8045309,8049639,8227166,8401373,8549393,8559859,8671026,8844833,8992253,9007929,9049890,9080609,9168893,9286493,9433313,9446815,9462653,9532200,9653216,9814109,9872573,10167680,10251809,10261828,10322650,10502488,10723725,10859868,10919453,10979006,11121809,11336178,11352055,11438640,11467793,11640353,11815299,12201216,12228370,12263128,12322443,12387180,12413309,12498833,12840209,12868470,13016728,13212992,13337726,13447819,13495450,13622466,13698446,13726368,13769752,13796019,13985668,14025953,14238446,14271448,14446013,14585633,14643819,14669309,14669575,14674044,14864616,15031073,15097204,15135566,15169853,15442164,15446813,15490971,15493406,15778109,16025368,16029086,16055379,16190609,16194540,16409873,16601309,16722693,17010209,17274176,17469100,17526232,17552609,17603490,17680708,17957309,18028539,18145553,18306593,18681233,18707933,18777056,18864158,19024792,19173531,19211170,19433448,19567166,19717011,19953809,20227298,20521048,20617358,20661533,20962920,21019288,21078173,21105015,21124188,21389309,21402891,21441053,21596093,21766168,21788732,21862629,22360448,22366973,22512016,22529246,22622333,22673309,23053404,23054609,23086179,23392526,23583285,23610593,23646699,23686109,23932455,24080558,24137693,24256659,24262673,24486939,24561809,24735773,24766286,24810209,24937358,25155504,25326018,25344555,25346548,25527952,25673309,26240403,26283809,26332433,26640158,26696093,27034192,27039595,27489809,27728609,27800093,27847709,28132733,28156433,28299942,28328558,28496606,28593028,28709272,28718946,28876975,28896140,28980893,29203288,29494109,29894215,29943832,30169166,30302609,30413466,30577553,30982155,30987809,31126760,31146653,31214609,31238575,31395473,31423192,31496846,31733213,32162008,32225309,32297931,32321966,32336609,32388855,32447514,32823953,32853699,33047632,33241204,33686811,33883672,33938813,33961406,34230812,34287566,34370333,34520609,34548112,34651915,34652370,34675368,34691873,34775726,34938158,35016004,35017605,35096573,35111512,35199015,35202593,35351091,35413147,35414033,35519453,35540513,35855453,35873058,35960033,36136443,36182259,36582808,36665873,36727709,36962528,37138109,37178586,37280993,37352112,37357358,37486290,37488628,37517486,37545616,37687073,37747709,37989533,38110013,38119131,38250209,38544004,38708093,38866626,39009789,39246148,39320155,39406155,39500451,39518488,39533309,39586046,39744158,39985376,40297204,40306109,40344413,40687709,40744673,40820513,41155659,41160209,41216573,41226712,41280200,41345499,41582298,41582844,41687625,41813309,41868833,42021126,42033232,42145373,42238818,42420113,42720926,42819809,42964193,43019575,43031246,43087348,43143953,43300851,43406083,43418392,43660733,43678433,43713809,43942973,44153309,44449313,44458299,44466800,44622353,44633752,44674109,44983548,45030999,45238673,45340286,45798206,45944609,45977873,46275809,46332568,46380051,46413411,46440225,46522109,46977053,47184186,47202173,47287386,47362013,47647709,47773853,48179642,48195809,48218558,48242333,48270232,48350609,48396893,48611933,48627233,48845691,48901160,48955204,49292513,49382033,49536240,49628125,49707809,49825313,49982068,50025150,50102333,50212971,50318993,50590210,50690273,50789309,51070109,51209309,51339326,51375293,51416609,51485309,51623490,51891483,51926558,52124139,52160251,52333793,52426109,52511486,52631403,52838656,52856033,52881809,53226653,53239313,53264609,53359755,53360160,53384558,53390609,53577688,53630815,53854059,53947709,54045053,54129809,54274193,54299032,54304011,54334013,54345953,54547709,54665309,54758813,54874973,54971726,55013805,55016571,55065056,55077508,55150493,55410209,55488413,55499992,55544558,55654673,55687406,55728270,56099933,56171650,56257358,56259473,56347027,56458973,56459608,56696609,56768093,56829053,56917072,56917504,56926555,56939032,56950109,56980193,57107966,57119633,57129533,57267293,57538109,57566753,57585809,57895613,57932573,57960209,57987773,58097309,58307755,58339553,58366109,58644893,58670609,58681392,58730333,58781213,58898813,58907153,58910955,58933166,59023073,59122315,59194013,59211806,59443488,59553750,59582263,59617373,59693213,59715809,59775713,60030180,60046109,60049048,60081809,60236513,60274899,60278033,60296055,60373793,60394109,60405123,60441233,60458558,60474653,60596366,60708252,60709373,60734813,60753809,60921533,61047953,61059809,61086411,61222433,61318109,61334753,61438708,61480792,61627133,61687709,61727453,61761809,61775575,61871933,61927709,61948188,62008690,62048993,62062109,62139293,62156093,62297633,62309309,62366609,62377853,62414813,62422109,62433604,62437491,62447393,62468753,62527709,62567933,62619773,62663453,62672152,62672609,62693693,62702609,62726033,62737553,62746109,62801309,62819873,62832893,62835473,62838352,62865809,62909153,62936609,63006173,63023633,63033053,63060113,63063015,63070433,63077153,63108833,63117713,63154109,63169553,63171809,63179453,63199133,63212573,63223313,63231713,63240209,63242813,63416379,63505255,63517059,63524000,63726206,64031706,64032192,64056411,64111975,64295203,64315792,64337368,64356978,64396526,65196158,65492625,65726366,65858558,66016566,66387268,66473752,66873924,66894099,67267216,67405980,67555179,68134803,68311866,68828060,68916883,68987966,69000004,69165891,69786712,69858800,69969306,70022872,70084315,70506171,70521566,70693146,70946778,71028158,71464500,71702583,71899712,71909848,72036216,72159566,72355266,72379539,72409406,72616408,72907358,72995455,73206388,73403006,73557592,74087655,74130690,74410428,74632046,74782971,74967448,75342603,75362558,75483806,75523179,75675618,76206306,76228800,76615450,76688366,76934370,77077912,77448291,77641646,78149659,78248152,78510051,78591150,78775731,79026832,79054286,79072736,80151386,80350552,80887176,80898579,80942955,81040743,81134366,81158788,81179215,81310720,81323650,81687165,81693459,81982168,82042255,82063328,82269806,82382558,82414468,82593672,82752291,83145688,83830560,83977588,84101178,84338379,84460450,84912004,85154558,85235992,85263566,85533508,85757400,86238158,86339152,86471539,86474815,86667566,86712651,87132976,87286323,87307358,87594546,87736899,87836558,88029171,88246168,88257326,88271194,88687915,88905186,88956828,88988126,89419264,89433355,89631832,89693575,89745355,89917358,90077815,90142556,90326606,90394371,90464068,90469419,90855723,90899799,90998073,91015192,91339646,91474560,91850290,91924315,91938540,91940558,91989748,92040206,92166232,92229939,92321244,92536286,92598004,92686971,92917881,93028766,93085912,93214455,93538899,93906158,94002926,94309380,95247806,95342558,95890491,96166147,96333159,96375326,96477075,96653966,96972531,97131546,97207358,97246625,97415058,97572864,97588380,97615131,97668952,98024598,98067776,98325800,98450706,98452690,99212788,99266968,99276939,99369086,99428752,99510148,99545486,99562255,99722968,99976539,99994155,...,4976139235101268152747988007233092055784158451850687870266992266047117079596297159162775725364426540467640771357034052950447093527037627427356369684453872080747391496276040379178967605666070868332355578959628331274373994421417278392768681169057587726602938909735422243125271053654905585317241716307208291448948614795448781098677582390612504548080232092074419822232422797628029868369775181843867554353132529759649293418186789163408981187850248835068311804495878939998177902285020168468105681402826621131057982122974417099057090409593400051965563101398938409810205384602100830788445036076488241437803986512244556423147978361005037681363427431025226576013020064653888053382263200364520869012210734713792430800744187954952603609578230410281645307977664017260559246380590666432434833033542517242601387986451622580034094050200736637752678156777766433242375312075987309657362714323689851276799125254221735096272781210167642656239866864169770003513155866657118793258256707827789322445923939175569099901415800765630816293721943040756376870533693603432198945195541639470985888649498688954597951052618204618484249146777745639938688466425604819065914773655312115182880307056985194485971096544220164124338869542836789675740674517555199499887224616086047365445224949798341634090982164747621393906546332319126005171314530131733271685985844242554754591180968172461163585961910024541748595811406427504586017783750825354283253907978953643642321771030940132316417521087701226487051323391990977753538460800929589427852170097147846172317911195771616097292811948884260365209293979833023443832614061754872509702667373892148282937274769932490576944576947879111376796588836094325813267077213738742352858244716267681937607628086042011969741592279881984007424928689797273520175904246568519020290639541522255141571575237272290142563730933802801845026939073282968725246861343709312828050224696828483173198242892158815476245175316904468075245805095768244219711279909992259232979839287089066057835643610442641824253823092782439298371818741437733662160886032815632505572259690406671094807705498166354792272346404491353204380057144803055274208774751041523815182994448459412140674913838113078592143597932253395071917027552750817397500018596575415609175867074564701412261694364898597760985385785553981816542934079954451591418256340255319028436244163164823134683289783778990613084948801217005134351255721279492646723442141969857132582707615321889804810657583073220218692172128371652664744030530554319048168110835735390660435344817525172199429550972029155299855994009}
15907 14851768219072641788627953679140453059121015422162353581122474058: {15907,127208,143109,810237,1032785,1095789,1223453,1239342,1445717,1747790,2065310,2097348,2112173,2446598,2478372,2556197,2683889,3017390,3114244,3318293,3409685,3495140,3508817,3620868,3651710,3779678,4091622,4194168,4382052,4448920,4541966,4551533,4718439,4788309,5005035,5070837,5338704,5353149,5399540,5937998,5958375,6006042,6198789,6227704,6250085,6355600,6454613,6479448,6480237,6502190,7006167,7150050,7289379,7500102,7626720,7686404,7802628,7884237,8135168,8164389,8340675,8357693,8446564,8580060,8738309,8896720,9152064,9189677,9929375,10008810,10296072,10676064,10730237,10732852,10954029,11389637,11561368,11583081,11915250,12010572,12048533,12063837,12066520,12340749,12487517,12705869,12709600,12827285,13006539,13128110,13574835,13744973,14022197,14298300,14479824,14604629,15114904,15251520,15328910,15335453,15392742,15483975,15636974,15753732,16268288,16270910,16289802,16429924,16468509,16516240,16646693,16778822,17004267,17157960,17212190,17482085,17839310,17955917,18022397,18163288,18301824,18342555,18391877,18394692,18580770,18871505,18928613,19045397,19302705,19525092,19565392,19628897,19698014,19819488,19920017,20006589,20031710,20243175,20433699,20547669,20589552,20654628,20978502,21144149,21337133,21357669,21407172,21592720,21836375,21907790,21959717,22011066,22100885,22199669,22296924,22336958,22645806,22703349,23163246,23240109,23471320,23654918,23729309,23780990,24038052,24043629,24291810,24373997,24715526,25120613,25552877,25564708,25651310,25911264,25997189,26031317,26200853,26203650,26274110,26289348,26405235,26521062,27181253,27207710,27235915,27495293,27516197,27643037,27895949,27950560,27980273,28140020,28141757,28165584,28209269,28296237,28537188,28816755,28916678,28929293,29102813,29150172,29350749,29648213,30229598,30295253,30340947,30722573,30737872,30781572,30926037,31017137,31444380,31528932,31683185,31686282,31909940,31966157,32009957,32119217,32342212,32649252,32683098,32835293,32852414,33333989,33540672,33710798,33768024,33792740,33793869,34115822,34143317,34578677,34580106,34987204,35088789,35220797,35680913,35741285,35762189,35782406,35886590,36073373,36120175,36120837,36504110,36568142,36779078,37149429,37162598,37406037,37429790,37733256,37989027,37991093,38019822,38031293,38182238,38291928,38686853,38908450,39054533,39175637,39278990,39465173,39960237,40202510,40402013,40540997,40551288,41309540,41451269,41467166,41551505,41593109,41991377,42236453,42354590,42449913,42462974,42492837,42667697,42744909,42788515,42889542,42943622,43018469,43063908,43078419,43185140,43263352,43344210,43556333,43579517,43770005,43804932,43889390,44052998,44557109,44915748,45149453,45253749,45430229,45511157,45620199,45728510,46157093,46203160,46233317,46233824,46690140,46860785,46880477,46925573,46932020,47134788,47245269,47437169,47511653,47591093,47830744,48180005,48181924,48243012,48481877,48482949,48562493,48639902,48671271,49057685,49398110,49402157,49567949,49571448,49802438,49802816,49821653,49842662,49861806,49981720,50363189,50371505,50825508,50942109,51043109,51134093,51346218,51431349,51533390,51600250,51822168,51978555,52013052,52078718,52163589,52407237,52524006,52541540,52542917,52667268,53086622,53196926,53276693,53425454,53652269,53681966,53795693,53809587,53859185,54125774,54165197,54212558,54272990,54355598,54640709,54838133,54874212,54983558,55127332,55443064,55443792,55583500,55767879,55792190,56028168,56036037,56059637,56229435,56232942,56240573,56276229,56276318,56295197,56318424,56411366,56609297,56790197,56817413,57428102,57677213,57734468,57780998,57816006,57915710,58164533,58299939,58858814,58869222,59277732,59379069,59393597,59424209,59616237,59978064,60041332,60088037,60337790,60445806,60958718,60968273,61063373,61126450,61194005,61270013,61433774,61840068,61884548,61920300,62003813,62373447,62374266,62477585,62912248,62921117,63002069,63031689,63049848,63358227,63399089,63443909,63539357,63564113,64081389,64113953,64362893,64546869,64631022,65127588,65596517,65764157,66048320,66700200,66843533,66909902,66950628,66972110,67443173,67475322,67545893,67729262,67810733,67873790,68010429,68055998,68467133,68697309,68831320,68846885,68868533,69022094,69148478,69188644,69374990,69498852,69564806,69805469,70175204,70237169,70306733,70574510,70776279,70804997,70931079,71062109,71146340,71146880,71173790,71317649,71647613,71734397,71805412,71956733,72057422,72269463,72327837,72381854,72405348,72643013,72752477,72800486,73351740,73355428,73432806,74079317,74304360,74429774,74581493,74973102,75037725,75061310,75085277,75546758,75885315,75981173,76241354,76286933,76798385,76850990,76881926,77008989,77116397,77215397,77229269,77435235,77611853,77889837,78042005,78240998,78241856,78340190,78427853,78547940,78767229,79046606,79085822,79257984,79405000,79638293,79733774,79750577,79828709,79980017,80040240,80076837,80184422,80278286,80325269,80366532,80394740,80421710,80540164,80645453,80765009,80793758,80904533,80944336,81260486,81327677,81448548,81450173,81492494,81952973,81989294,82457589,82597584,82616262,82984085,82997438,83092190,83249988,83316837,83325773,83422973,83531109,83592405,83972078,83990369,84084020,84257475,84386037,84555172,84683729,84689412,85375608,85376256,85408548,85460333,85661949,85809304,85939757,86035075,86250005,86380646,86709149,86788718,86858597,87000158,87029969,87233390,87257597,87323500,87528590,87550493,88022088,88399749,88440869,88453253,88623989,88817709,88982309,89102894,89165232,89192132,89330625,89628173,89874640,89887310,90045270,90073572,90483509,90579998,90687837,90770510,90846404,90883973,90894549,91062378,91082488,91507985,91946990,92158062,92204753,92221188,92354933,92647757,92820077,92922282,93013035,93186833,93215717,93292408,93327878,93650406,93657317,93709310,93831389,93910277,94008228,94227902,94257528,94524926,94595704,95286000,95589309,95603444,95751653,95866373,96047559,96048288,96347390,96419846,96473688,96506052,96535467,96594789,97229693,97794237,97810190,98289509,98589549,98770526,98783540,98787837,98840920,99024849,99213904,99432197,99451718,99573053,99580902,99678974,99710628,99711437,99937373,...,6634852313468357536997317342977456074378877935800917160355989688062822772795062878883700967152568720623521028476045403933929458036050169903141826245938496107663188661701387172238623474221427824443140771946171108365831992561889704523691574892076783635470585212980562990833694738206540780422988955076277721931931486393931708131570109854150006064106976122765893096309897063504039824493033575791823405804176706346199057890915718884545308250466998446757749072661171919997570536380026891290807575203768828174743976163965889465409453879457866735954084135198584546413607179469467774384593381435317655250405315349659408564197304481340050241817903241366968768017360086205184071176350933819361158682947646285056574400992250606603471479437640547042193743970218689680745661840787555243246444044723356323468517315268830106712125400267648850336904209037021910989833749434649746209816952431586468369065500338962313461697041613556856874986489152226360004684207822209491724344342277103719096594565252234092133201887734354174421724962590721008502494044924804576265260260722185961314518199331585272797268070157606157978998862370327519918251288567473092087886364873749486910507076075980259314628128725626885499118492723782386234320899356740265999849632821448063153926966599731122178787976219663495191875395109758834673561752706842311028914647792323406339454907957563281551447949213366055664794415208570006114690378334433805711005210638604858189762361374586843088556694783601635316068431189321303671384614401239452570469560129530461563090548261028821463057082598512347153612391973110697925110152082339830012936889831856197710583033026576654102592769263838815169062118448125767751022769618318323137144326288356909250143504114722682626322123039842645343233238253063031360234538995424692027054186055363006855428766983029720190084974578403735793369252097710624966995815124945750437400299595771310897597657189545087301660233755872624100327740127690992292948373213323012310639785716118754743780858147256855765671764123709919064495758321916978216214514710420843340763012920542228126410273997555139723029795205988470939173409526404073698945033001388698420243992597945882854233218450817438122858130576337860095889370070334423196666691462100554145567822766086268549682259153198130347980514380738642422057245439939268788557675120340425371248325550886430846244386378371987484113265068289340179135007628372656862297922855959809510110276820429186406414210110764293624922896171162203552992040707405758730890814447647187547247126423366896265906067962705540399807992012}
15908 14916934021790230204318056105093510330620096212861222886078946158: {111307,159010,190812,301891,492187,540226,603706,920866,1080316,1461052,1490746,1652456,1859013,2621685,2626618,2796464,2815426,2846587,3066946,3097965,3146022,3255418,3304496,3443746,3590491,3669897,3717558,3775747,3892805,4368925,4383226,4526085,4671366,4789507,4827824,4945186,5242710,5256826,5430091,5431302,5443618,5449241,5455496,5477565,5561150,5592224,5630266,5669517,5703547,5842736,6137433,6157867,6291252,6384412,6573078,6673380,6749425,6761116,6812949,6994618,7061107,7118266,7118272,7137532,7488826,7784630,7944500,8008056,8043586,8099310,8228218,8265052,8402467,8639264,8640316,8658466,8845987,8906997,9009063,9199507,9341556,9463891,9533400,9608005,9639787,9719172,9753285,10000136,10116197,10168960,10403504,10493506,10512316,10514947,10558205,10725075,10776091,10797946,10885852,11120900,11250153,11440080,11529606,11641891,11703942,11769466,11900227,12202752,12669846,12676546,12870090,13182187,13225541,13345080,13399618,13416065,13580026,13728096,14234752,14300218,14420026,14451710,14605372,14779066,15013215,15083150,15199627,15444108,15448891,15887000,15892877,16014096,16085116,16090618,16099278,16110427,16454332,16685491,16802746,17098786,17119718,17257027,17342052,17689666,17872875,17984506,18015858,18099780,18161218,18337786,18572986,18710491,18866626,18893630,18925306,19064400,19306432,19628218,19692165,19745146,20335360,20503618,20523656,20537405,20645300,20690491,20925067,21004976,21081091,21236827,21447450,21469891,21719736,21838906,21958012,22243618,22472347,22672356,22704110,22877280,22935586,22993365,23089113,23235187,23280706,23455461,23613907,23630598,24402432,24406365,24434703,24456740,24526256,24644886,24774360,24826618,24888091,24997666,25168233,25406707,25680418,25736940,25818285,26033456,26360491,26425984,26675452,26758965,26895638,26990900,27244932,27396892,27452736,27539504,27592038,27661027,27871155,27971336,28051906,28160491,28476892,28542896,28892026,29171266,29287638,29338618,29339150,29348088,29547021,29729232,29915491,30047565,30062146,30194408,30271132,30339706,30398827,30604891,30884328,30893626,30981942,30986812,31083187,31422667,31467753,31556218,31760347,31955885,32050736,32058172,32096227,32110758,32381218,32389080,32819746,32861685,33016599,33158947,33202618,33445386,33505437,33968709,34020418,34548352,34744869,34782547,34938200,35052464,35105218,35175025,35206980,35229091,35361416,35482377,35545891,35671485,35914618,35986387,36057078,36174091,36291106,36437715,36613186,37073289,37362466,37415866,37554112,37728316,37855433,38049584,38347062,38422340,38476965,38733907,38866896,38911891,39134332,39305475,39383347,39411165,39434022,39500491,39781593,39792091,39887425,39907618,40369891,40427765,40454596,40541827,40811565,41042096,41234716,41323066,41335627,41671507,41782891,41851901,41893987,41925840,42038576,42156346,42170467,42210030,42240925,42248376,42445147,42778618,42805782,42882106,43043107,43192186,43375017,43419091,43532336,43577464,43579147,43685491,43725258,43734005,44369707,44577787,44720896,44733946,45024032,45058492,45144067,45244666,45344397,45346618,46106808,46109218,46172358,46785052,47166570,47221186,47293398,47369947,47372218,47529423,47797627,47864910,48161116,48275386,48512681,48513318,48525346,48635491,48973878,49000387,49024647,49123618,49278621,49315891,49405387,49471546,49532572,49620418,49874716,50311008,50327707,50566197,50652036,50689110,50693096,50924947,51055904,51173733,51346618,51636925,51870159,51956347,51996667,52157227,52356307,52395907,52480806,52567618,52664866,53058091,53248891,53280316,53392186,53673609,53699467,53829885,53981425,54068384,54079190,54248107,54355891,54534091,54756165,54852213,54979618,54988987,55048217,55168617,55228891,55457218,55565491,55600186,55665067,55695418,55743897,56121187,56144685,56265466,56312866,56599884,56657116,56778907,56900587,56991091,56993212,57029733,57140491,57186056,57273357,57418544,57437892,57753950,57792280,57916147,57961786,58362675,58404091,58406576,58665025,58792891,58918485,58918891,58988218,59475307,59591227,59750491,59788430,59795347,59887664,59906227,60227405,60228067,60290491,60303765,60338332,60352267,60453787,60605218,60728467,60826932,60841867,61060891,61155106,61353427,61643933,61716091,61890187,61964310,61975618,62027347,62169907,62200749,62253520,62291947,62293306,62429218,62477150,62482891,62585491,62662387,62725891,62790946,62846384,62850091,62923891,62976089,62993692,63038587,63049891,63134347,63155227,63166891,63194827,63201091,63209947,63220747,63466426,63531885,63694461,64324016,64334313,64415433,64450618,64595862,64643932,64673218,64777710,64895028,65016315,65647906,65676925,65707398,65834085,66079497,66095264,66482408,66591941,67373622,67767344,67877626,67922812,68461624,68575132,68592765,68740666,68909165,69041218,69096224,69303830,69304740,69350736,69383746,69479375,69551452,69876316,70032008,70035210,70193146,70223024,70398030,70405186,70702182,70826294,70828066,71038906,71081026,71710906,71746116,71920066,72168085,72272886,72364518,72959853,73165616,73331746,73455418,73925056,74097165,74276218,74357172,74561986,74703657,74704224,74714716,74763993,74792709,74972580,74977256,75034972,75051665,75083141,75091232,75374146,75495418,75979066,76220026,76238262,76500418,77019327,77088008,77300085,77355685,77400375,77416186,77733252,78019578,78118077,78492296,78640310,78786009,78812310,79000902,79036976,79066618,79172092,79488316,79629933,79697177,79795389,79970752,80138181,80522949,80594408,80612218,80688826,81188661,81318837,81375418,81409485,81489346,81533397,81630857,81641026,82311318,82320418,82433146,82453424,82475337,82560400,82690998,82771241,83164596,83165688,83375250,83626618,83688285,83737666,84042252,84066464,84290746,84349413,84414477,84477636,84617049,84840226,85441852,85639618,85928386,86039150,86062492,86142153,86174696,86287906,86485805,86601702,86671497,86724009,86812166,86836784,86873565,87321466,87356866,87427618,87719005,87885946,88288221,88303833,88306618,88898626,88907357,88916598,88932925,88933600,89244706,89267504,89348218,89756765,89967096,90061998,90477346,90506685,90668709,90680572,91438077,91596412,91689675,91694285,91889218,91955746,92150661,92551618,92665136,92760102,92826822,92880450,93044218,93561399,93954106,94368372,94404346,94574772,94724026,95295418,95547706,96359284,96391618,96437116,96484666,96540464,96701218,96793786,96946533,97223866,97254466,97691382,97802320,97910408,98118041,98184925,98585026,98764066,99072480,99256250,99415618,99650626,99964136,...,9952278470202536305495976014466184111568316903701375740533984532094234159192594318325551450728853080935281542714068105900894187054075254854712739368907744161494782992552080758357935211332141736664711157919256662548747988842834556785537362338115175453205877819470844486250542107309811170634483432614416582897897229590897562197355164781225009096160464184148839644464845595256059736739550363687735108706265059519298586836373578326817962375700497670136623608991757879996355804570040336936211362805653242262115964245948834198114180819186800103931126202797876819620410769204201661576890072152976482875607973024489112846295956722010075362726854862050453152026040129307776106764526400729041738024421469427584861601488375909905207219156460820563290615955328034521118492761181332864869666067085034485202775972903245160068188100401473275505356313555532866484750624151974619314725428647379702553598250508443470192545562420335285312479733728339540007026311733314237586516513415655578644891847878351138199802831601531261632587443886081512753741067387206864397890391083278941971777298997377909195902105236409236968498293555491279877376932851209638131829547310624230365760614113970388971942193088440328248677739085673579351481349035110398999774449232172094730890449899596683268181964329495242787813092664638252010342629060263466543371971688485109509182361936344922327171923820049083497191622812855009172035567501650708566507815957907287284643542061880264632835042175402452974102646783981955507076921601859178855704340194295692344635822391543232194585623897768520730418587959666046887665228123509745019405334747784296565874549539864981153889153895758222753593177672188651626534154427477484705716489432535363875215256172084023939483184559763968014849857379594547040351808493137038040581279083044510283143150474544580285127461867605603690053878146565937450493722687418625656100449393656966346396485784317630952490350633808936150491610191536488439422559819984518465959678574178132115671287220885283648507646185564878596743637482875467324321772065631265011144519380813342189615410996332709584544692808982706408760114289606110548417549502083047630365988896918824281349827676226157184287195864506790143834055105501634795000037193150831218351734149129402824523388729797195521970771571107963633085868159908903182836512680510638056872488326329646269366579567557981226169897602434010268702511442558985293446884283939714265165415230643779609621315166146440437384344256743305329488061061108638096336221671470781320870689635050344398859101944058310599711988018}
15909 14982383520208239210560053773916208710590482985767377399695591978: {31814,238515,254416,286218,810339,905559,1350395,1381299,1445899,1620474,1826315,1922327,2065570,2191578,2236119,2446906,2478684,2891434,2969747,3495580,3921619,3939927,4130620,4194696,4223139,4224346,4600419,4719033,4773559,4883127,4893196,4956744,5112394,5165619,5367778,5576337,6034780,6228488,6574839,6636586,6819370,6990280,7007049,7017634,7241736,7303420,7417779,7559356,7628179,7864065,7885239,7980515,8146953,8165427,8183244,8341725,8388336,8445399,8451395,8750119,8764104,8897840,8921915,9083932,9103066,9340951,9436878,9576618,9859617,9930625,10010070,10141674,10331315,10491927,10677399,10677408,10706298,10799080,10800395,11233239,11676945,11875996,11916750,12012084,12065379,12148965,12342327,12397578,12455408,12500170,12711200,12909226,12958896,12960474,12987699,13004380,13140395,13607315,13901125,14012334,14300100,14578758,15000204,15016027,15253440,15372808,15477011,15605256,15740259,15768474,16196919,16244059,16270336,16328778,16681350,16715386,16893128,17160120,17294409,17476618,17550467,17555913,17654199,17793440,17958199,18256715,18304128,18379354,18586007,19004769,19014819,19305135,19858750,20017620,20099427,20106395,20142679,20370039,20567915,20592144,21352128,21450327,21460474,21465704,21630039,21677565,21908058,21938179,22168599,22306499,22370179,22624725,22720247,22779274,23122736,23166162,23751827,23830500,23909939,24021144,24097066,24127674,24133040,24135927,24148917,24474919,24681498,24975034,25204119,25411738,25419200,25648179,25654570,25679577,25806625,25812611,26013078,26256220,26420107,26534499,26976759,27023787,27113147,27149670,27241827,27447515,27489946,27506679,27859479,28044394,28299939,28340445,28387959,28596600,28897847,28959648,29209258,29256727,29442327,29617719,29909947,30167927,30229808,30503040,30570925,30657820,30670906,30755427,30785484,30895159,30941239,30967950,31273948,31507464,32123299,32171175,32336459,32536576,32541820,32550731,32579604,32758359,32859848,32937018,33032480,33293386,33338227,33344315,33365427,33557644,33738625,34008534,34056165,34246115,34315920,34403379,34424380,34921059,34964170,35099747,35445897,35596115,35678620,35911834,36044794,36326576,36603648,36685110,36783754,36789384,36967329,37161540,37239927,37496499,37743010,37838915,37857226,38023379,38090794,38130281,38241971,38520627,38605410,38733515,39050184,39130487,39130784,39257794,39380219,39396028,39638976,39840034,40013178,40063420,40072715,40343457,40486350,40756571,40867398,40994027,41095338,41179104,41309256,41388057,41957004,42077859,42288298,42674266,42715338,42814344,43185440,43201367,43338039,43672750,43756899,43815580,43821719,43919434,43931457,44007927,44008725,44022132,44201770,44217107,44356459,44390627,44399338,44593848,44673916,45093219,45155191,45291612,45406698,45509559,45985067,46246211,46326492,46340439,46472913,46480218,46640659,46931539,46942640,47160395,47309836,47334327,47458618,47561980,48027925,48076104,48087258,48166137,48571827,48583620,48706519,48747994,48917915,48943619,49229619,49397219,49431052,49625099,49803927,50037799,50168079,50241226,50568245,51030627,51105754,51129416,51302620,51543395,51668459,51822528,51994378,52062634,52401706,52407300,52548220,52578696,52657827,52694567,52810470,53042124,53628439,53871927,53930699,54085617,54330947,54362506,54415420,54436659,54471830,54919779,54968471,54990586,55032394,55286074,55791898,55901120,55960546,56043699,56123799,56244019,56280040,56283514,56323115,56331168,56418538,56592474,57074376,57520593,57633510,57833356,57858586,58172107,58205626,58300344,58481315,58701498,58743427,59151033,59296426,59358167,59830451,59861427,59903921,60201395,60459196,60590506,60681894,61278007,61445146,61475744,61563144,61852074,61915715,61984599,62034274,62343395,62857111,62888760,63057864,63234519,63315045,63366370,63372564,63407227,63819880,63932314,64019914,64167927,64208673,64238434,64323159,64684424,64788279,65291147,65298504,65366196,65587887,65605099,65670586,65704828,65978459,66381079,66600395,66667978,66740147,67081344,67100919,67421596,67452007,67536048,67585480,67587738,67819351,67866999,67973651,68019927,68141011,68163979,68231644,68286634,68357267,68680759,69143507,69157354,69160212,69163827,69258537,69385427,69877259,69974408,70177578,70441594,70520107,70749855,70821395,70831779,70940097,71058327,71241515,71361826,71482570,71524378,71564812,71656771,71773180,71797365,72146746,72240350,72241674,72413079,72769977,72788019,73008220,73136284,73329047,73460817,73558156,73618087,73685427,74207319,74298858,74325196,74372939,74430627,74812074,74817467,74859580,75402859,75422915,75466512,75978054,75982186,76033665,76039644,76062586,76364476,76583856,77019927,77210999,77373706,77816900,78109066,78351274,78557980,78721209,78742115,78851427,78930346,78997299,79481447,79920474,80088279,80405020,80422231,80804026,80804915,80914819,81081994,81102576,81118785,82376747,82469427,82619080,82761011,82902538,82934332,83103010,83185827,83186218,83400279,83543127,83642939,83918839,83982754,84398199,84469299,84472906,84523427,84709180,84899826,84903515,84925948,84985674,85335394,85489818,85577030,85671607,85718915,85779084,85887244,85950679,86011559,86036938,86127816,86156838,86370280,86526704,86630925,86688420,86939315,86942679,87112666,87159034,87345395,87468619,87540010,87609864,87778780,88105996,88125587,88361027,88482327,89114218,89312579,89596979,89682645,89831496,90298906,90507498,90860458,90895639,90907827,91022314,91240398,91457020,91723099,91732659,92314186,92383019,92406320,92466634,92467648,92946465,92963427,93380280,93393395,93439959,93643827,93715725,93721570,93760954,93793715,93848291,93851146,93864040,94000279,94186419,94269576,94490538,94874338,95023306,95182186,95199639,95661488,95944211,96360010,96363848,96385639,96486024,96675927,96723751,96855767,96893793,96963754,96965898,97009827,97124986,97166565,97279804,97342542,97850551,98115370,98471859,98561097,98796220,98804314,98965115,99135898,99142896,99360395,99517931,99604876,99605632,99643306,99685324,99723612,99963440,...,14928417705303804458243964021699276167352475355552063610800976798141351238788891477488327176093279621402922314071102158851341280581112882282069109053361616242242174488828121137536902816998212604997066736878884993823121983264251835178306043507172763179808816729206266729375813160964716755951725148921624874346845844386346343296032747171837513644240696276223259466697268392884089605109325545531602663059397589278947880254560367490226943563550746505204935413487636819994533706855060505404317044208479863393173946368923251297171271228780200155896689304196815229430616153806302492365335108229464724313411959536733669269443935083015113044090282293075679728039060193961664160146789601093562607036632204141377292402232563864857810828734691230844935923932992051781677739141771999297304499100627551727804163959354867740102282150602209913258034470333299299727125936227961928972088142971069553830397375762665205288818343630502927968719600592509310010539467599971356379774770123483367967337771817526707299704247402296892448881165829122269130611601080810296596835586624918412957665948496066863793853157854613855452747440333236919816065399276814457197744320965936345548640921170955583457913289632660492373016608628510369027222023552665598499661673848258142096335674849395024902272946494242864181719638996957378015513943590395199815057957532727664263773542904517383490757885730073625245787434219282513758053351252476062849761723936860930926965313092820396949252563263103679461153970175972933260615382402788768283556510291443538516953733587314848291878435846652781095627881939499070331497842185264617529108002121676444848811824309797471730833730843637334130389766508282977439801231641216227058574734148803045812822884258126035909224776839645952022274786069391820560527712739705557060871918624566765424714725711816870427691192801408405535080817219848906175740584031127938484150674090485449519594728676476446428735525950713404225737415287304732659133839729976777698939517861267198173506930831327925472761469278347317895115456224313200986482658098446897516716779071220013284423116494499064376817039213474059613140171434409165822626324253124571445548983345378236422024741514339235776430793796760185215751082658252452192500055789726246827527601223694104236785083094695793282956157356661945449628802239863354774254769020765957085308732489494469404049869351336971839254846403651015403053767163838477940170326425909571397748122845965669414431972749219660656076516385114957994232091591662957144504332507206171981306034452575516598288652916087465899567982027}
15910 15048117939714262670279366093298636929581702511739318460721950824: {47721,222614,318020,365401,381624,429327,460549,603782,984374,1080452,1207412,1596709,1690921,1785061,1841732,2160632,2160901,2348389,2430711,2722501,2815849,2922104,2981492,3098355,3287367,3304912,3560041,3670359,3718026,3745369,4115161,4207429,4337151,4369475,4391749,5163275,5243370,5253236,5449927,5582809,5592928,5630852,5693174,5946841,6116495,6133892,6195930,6292044,6336519,6510836,6608992,6851881,6887492,6941989,7180982,7211881,7339794,7435116,7543475,7551494,7668591,7785610,7839109,8051667,8737850,8766452,9052170,9129275,9342732,9449195,9579014,9655648,9787429,9875161,9890372,9954879,10229055,10312741,10400041,10485420,10513652,10526451,10860182,10862604,10887236,10898482,10910992,10955130,11122300,11184448,11260532,11339034,11354915,11407094,11528389,11685472,11700901,12216709,12274866,12315734,12473641,12582504,12768824,12900421,13146156,13346760,13451207,13498850,13522232,13625898,13654599,13989236,14085829,14122214,14155317,14236532,14236544,14254021,14275064,14364927,14505769,14781487,14844995,14977652,15015105,15090661,15173929,15212511,15340249,15569260,15889000,16016112,16059447,16087172,16198620,16249861,16255475,16456436,16530104,16804934,16987609,17150761,17278528,17280632,17316932,17476201,17557381,17691974,17813994,17875125,18018126,18399014,18596367,18683112,18686341,18750255,18766441,18782491,18846469,18927782,19066800,19216010,19245529,19279574,19363839,19438344,19440711,19506570,19801189,19880281,19959301,20000272,20232394,20337920,20807008,20987012,21018501,21024632,21029894,21116410,21132287,21447001,21450150,21552182,21595892,21602089,21771704,21868137,21911401,22241800,22500306,22679641,22880160,22984921,23059212,23283782,23407884,23538932,23652711,23743081,23800454,24405504,24493167,24568741,25022025,25073079,25339692,25353092,25680601,25740180,26214927,26339941,26364374,26451082,26631109,26690160,26776261,26799236,26832130,27160052,27456192,27569031,27569449,27784261,27855721,28140841,28469504,28600436,28637029,28752367,28778149,28840052,28903420,29129689,29210744,29339749,29558132,29618821,29788125,30026430,30166300,30311461,30399254,30888216,30897782,31269061,31675141,31774000,31785754,31944421,32028192,32170232,32181236,32190711,32198556,32220854,32546089,32679001,32820275,32862087,32877829,32908664,32943961,33076009,33370982,33605492,33992281,34168911,34197572,34239436,34380649,34514054,34684104,34749243,35379332,35593381,35745750,35969012,36031716,36145599,36191511,36199560,36322436,36594469,36675572,36718309,37022247,37145972,37333189,37420982,37462551,37733252,37759321,37787260,37819909,37850612,38001241,38117607,38128800,38302021,38322275,38421829,38481855,38612864,38720089,38838889,39019617,39092435,39256436,39384330,39490292,39604069,39895129,40357081,40670720,40677275,40724505,40871269,41007236,41047312,41074810,41154409,41210821,41234919,41290600,41380982,41603689,41850134,41947055,42009952,42066591,42162182,42268969,42473654,42597721,42652261,42894900,42939782,43030475,43439472,43677812,43727941,43813887,43916024,44150149,44487236,44598275,44738239,44826409,44929369,44944694,45344712,45408220,45692389,45742681,45754560,45871172,45986730,45993061,46006359,46042921,46178226,46451925,46470374,46561412,46910922,47025001,47073349,47227814,47261196,47647909,47695321,47742661,48258649,48628441,48674341,48804864,48812730,48869406,48913480,49052512,49245035,49264489,49289772,49398949,49405527,49548720,49577221,49653236,49776182,49842469,49940079,49995332,50079275,50336466,50579929,50792869,50813414,51012801,51087961,51360836,51462181,51473880,51636570,52066912,52272901,52352389,52446255,52720982,52851968,52900741,53016409,53283781,53350904,53434981,53517930,53791276,53867751,53981800,54067191,54137449,54173701,54389701,54489864,54673669,54769475,54793784,54848809,54905472,55027665,55079008,55175631,55184076,55322054,55531369,55649231,55742310,55842395,55942672,56103812,56121049,56217061,56248921,56280709,56320982,56501209,56598871,56614515,56656549,56785839,56953784,57085792,57136191,57141541,57171241,57347929,57608101,57784052,57908115,57918169,57973609,58001221,58273381,58342532,58380229,58575276,58668121,58677236,58678300,58696176,58821481,58846789,58886691,59071321,59094042,59137295,59385349,59409001,59452475,59458464,59664421,59760051,59830982,59998681,60019767,60095130,60124292,60275269,60388816,60499801,60542264,60618601,60679412,60729525,60734809,60797654,60829669,61013989,61085701,61138729,61209782,61227607,61301097,61361029,61443289,61586821,61643007,61679269,61709509,61768656,61787252,61788815,61798501,61963884,61973624,62102629,62166374,62166889,62192089,62265961,62290009,62325541,62450281,62514649,62556121,62596441,62728489,62754949,62780761,62830441,62845334,62935506,63057349,63063001,63095401,63110629,63112436,63115561,63202501,63212329,63255781,63262981,63264601,63266149,63269029,63279109,63432447,63520694,63911770,64011399,64073007,64101472,64116344,64128275,64192454,64221516,64762436,64778160,65509125,65639492,65685275,65723370,65879151,66033198,66302655,66317894,66405236,66599007,66890772,67010874,67937418,68019275,68040836,68110047,68209559,69096704,69489738,69565094,69720327,69876400,70104928,70210436,70350050,70413960,70458182,70722832,70964754,71091782,71187927,71342970,71829236,71972774,72114156,72130887,72291695,72348182,72582212,72875430,73121991,73226372,74146578,74426287,74724932,74831732,75108224,75361839,75456632,75573995,75710866,76099168,76658631,76694124,76844680,76953930,77467814,77733792,77823782,77915267,77991567,78093951,78268664,78602559,78610950,78766694,78822330,78868044,79000982,79215705,79563186,79584182,79774850,79815236,80739782,80855530,80909192,81083654,81543759,81623130,81707745,82084192,82131035,82469432,82485879,82548591,82646132,82671254,82929111,83343014,83565782,83687847,83703802,83787974,83851680,83940819,84077152,84276995,84312692,84318367,84340934,84420060,84425271,84481850,84496752,84627807,84888711,84890294,85289555,85557236,85611564,85764212,86086214,86384372,86450265,86750034,86787879,86838182,87064672,87154928,87158294,87308439,87370982,87450516,87468010,88052247,88739414,88944639,89155574,89441792,89456015,89467892,89716475,90048064,90116984,90288134,90489332,90688794,90693236,90885759,91022841,91260275,91420355,91947695,92167719,92213616,92218436,92344716,92778111,92906495,93051411,93570104,93574475,94333140,94442372,94586796,94739894,94744436,95049555,95058846,95455595,95595254,95729820,95898471,96029871,96322232,96357651,96472831,96550772,97025362,97026636,97050692,97270982,97271125,97947756,98000774,98049294,98197475,98247236,98505879,98557242,98631782,98810774,98943092,99065144,99240836,99749432,...,19904556940405072610991952028932368223136633807402751481067969064188468318385188636651102901457706161870563085428136211801788374108150509709425478737815488322989565985104161516715870422664283473329422315838513325097495977685669113571074724676230350906411755638941688972501084214619622341268966865228833165795794459181795124394710329562450018192320928368297679288929691190512119473479100727375470217412530119038597173672747156653635924751400995340273247217983515759992711609140080673872422725611306484524231928491897668396228361638373600207862252405595753639240821538408403323153780144305952965751215946048978225692591913444020150725453709724100906304052080258615552213529052801458083476048842938855169723202976751819810414438312921641126581231910656069042236985522362665729739332134170068970405551945806490320136376200802946551010712627111065732969501248303949238629450857294759405107196501016886940385091124840670570624959467456679080014052623466628475173033026831311157289783695756702276399605663203062523265174887772163025507482134774413728795780782166557883943554597994755818391804210472818473936996587110982559754753865702419276263659094621248460731521228227940777943884386176880656497355478171347158702962698070220797999548898464344189461780899799193366536363928658990485575626185329276504020685258120526933086743943376970219018364723872689844654343847640098166994383245625710018344071135003301417133015631915814574569287084123760529265670084350804905948205293567963911014153843203718357711408680388591384689271644783086464389171247795537041460837175919332093775330456247019490038810669495568593131749099079729962307778307791516445507186355344377303253068308854954969411432978865070727750430512344168047878966369119527936029699714759189094080703616986274076081162558166089020566286300949089160570254923735211207380107756293131874900987445374837251312200898787313932692792971568635261904980701267617872300983220383072976878845119639969036931919357148356264231342574441770567297015292371129757193487274965750934648643544131262530022289038761626684379230821992665419169089385617965412817520228579212221096835099004166095260731977793837648562699655352452314368574391729013580287668110211003269590000074386301662436703468298258805649046777459594391043941543142215927266171736319817806365673025361021276113744976652659292538733159135115962452339795204868020537405022885117970586893768567879428530330830461287559219242630332292880874768688513486610658976122122217276192672443342941562641741379270100688797718203888116621199423976036}
15911 15114138510947334358586348807554431060606563844120737030492988772: {63628,333921,397525,477030,508832,572436,905673,1350565,1476561,1509265,1620678,1811118,1890553,1922569,2271841,2302165,2556841,2700790,2762598,2891798,3240948,3319129,3509701,3652630,3726865,3844654,4016881,4131140,4383156,4472238,4588453,4893812,4957368,5577039,5782868,5939494,6566545,6991160,7038565,7152409,7667365,7843238,7865055,7879854,8138545,8261240,8389392,8446278,8448692,8539761,8609365,9200838,9293895,9438066,9547118,9766254,9786392,9913488,10224788,10331238,10577953,10735556,10771473,10958065,11009691,11152674,11172721,11327241,11678415,11831953,12069560,12362965,12456976,12490681,13106775,13142065,13149678,13273172,13578255,13609045,13638740,13902875,13980560,14014098,14035268,14075665,14368521,14440921,14463841,14483472,14606840,14835558,15118712,15120553,15256358,15728130,15770478,15961030,16290273,16293906,16330854,16347723,16366488,16432695,16683450,16776672,16861801,16890798,16902790,17008551,17110641,17486545,17500238,17528208,17795665,17795680,17843830,17898001,18167864,18206132,18291013,18396553,18412299,18473601,18681902,18722065,18873756,18933409,19050241,19098361,19153236,19461575,19623241,19719234,19861250,20020140,20108965,20248275,20283348,20438847,20570545,20662630,20741461,20983854,21183321,21354798,21354816,21412596,21598160,21600790,21646165,21965281,22034881,22466478,23353890,23751992,23833500,24024168,24098569,24130758,24297930,24684654,24795156,24910816,24930793,25000340,25207401,25422400,25559401,25818452,25829161,25917792,25920948,25975398,26008760,26049253,26159089,26233765,26280790,26537961,26720991,26722873,26851201,26994865,27027189,27073153,27214630,27598521,27650041,27802250,28024668,28070341,28148953,28216441,28391673,28600200,28716553,28724953,28795081,28824015,28901521,28919361,29157516,29259855,29423665,29928481,30000408,30032054,30302929,30348591,30490921,30505813,30506880,30745616,30954022,31210512,31480518,31536948,31544841,31674615,31691365,32175225,32328273,32393838,32488118,32540672,32657556,33362700,33430772,33467653,33499045,33750459,33786256,33950065,34040953,34152001,34320240,34370341,34588818,34795609,34925673,34939753,34953236,35100934,35111826,35229721,35308398,35586880,35700681,35750545,35916398,36050065,36129275,36204673,36513430,36608256,36673201,36758708,36947665,37172014,37707875,38009538,38029638,38426521,38610270,39229129,39475249,39538309,39546561,39676623,39717500,40035240,40107433,40154521,40198854,40212790,40226545,40248195,40285358,40645681,40740078,41135830,41172769,41184288,41514481,42002053,42006865,42704256,42746965,42799295,42900654,42920948,42931408,43206889,43260078,43355130,43410841,43567369,43590601,43816116,43876358,44222761,44224165,44337198,44612998,44648953,44740358,44961265,45039645,45249450,45307201,45403045,45440494,45558548,45598881,45844465,46037881,46245121,46245472,46332324,46346673,46432465,46590049,46682041,47166565,47234075,47280421,47313265,47503654,47661000,47678631,47819878,47944561,48042288,48194132,48228241,48255348,48266080,48271854,48278329,48297834,48331281,48494161,48949838,49070545,49362865,49362996,49744753,49834561,49858453,49950068,50056473,50301361,50349553,50408238,50823476,50838400,51056161,51071701,51147049,51259045,51296358,51309140,51359154,51613250,51625222,51771081,52026156,52256581,52319041,52512440,52840214,52974481,53068998,53618625,53723161,53937553,53953518,54047574,54178921,54226294,54226921,54299340,54337921,54483654,54597265,54654601,54654613,54895030,54979892,55013358,55231801,55609045,55718958,56073841,56088788,56101801,56131473,56254921,56599878,56680890,56686729,56760275,56775918,56804641,56831809,57193200,57338965,57795694,57919296,58201765,58418516,58513454,58884654,58943701,59076495,59235438,59406481,59408761,59700289,59819894,60335854,60458953,60459616,61006080,61141850,61315640,61341812,61371409,61510854,61570968,61612215,61790318,61882478,61935900,62033221,62066545,62071473,62421553,62494165,62547896,62729221,62775201,63014928,63243273,63707281,63710481,63956689,64201045,64209301,64246598,64342350,64409673,64672918,65073152,65083640,65101462,65159208,65516718,65719696,65874036,65896741,66024553,66064960,66371569,66584041,66586772,66676454,66688630,66730854,66748681,67115288,67239095,67417041,67477250,67982293,68017068,68112330,68476081,68485081,68492230,68631840,68806758,68848760,68886049,68980095,69267339,69705561,69842118,69928340,70129765,70150561,70199494,70366383,70435909,70795543,70841721,70891794,71192230,71357240,71823668,71881753,72089588,72160753,72230065,72516361,72653152,72661489,72928165,73207296,73219095,73304109,73346545,73347875,73370220,73517953,73567508,73578768,73669321,73934658,74323080,74479854,74591929,74661169,74664273,74992998,75032161,75155365,75486020,75504699,75677830,75714452,75849265,76046758,76181588,76220121,76260562,76299001,76312489,76483942,77041254,77210820,77234065,77454855,77467030,77631961,77708581,78098113,78100368,78260974,78261568,78291169,78515588,78760438,78792056,78852361,78890545,79081473,79277952,79680068,79770853,79828321,80026356,80126840,80145430,80276895,80686914,80785861,80953045,80972700,81027301,81513142,81720361,81734796,81766081,81873841,81988054,82049365,82190676,82358208,82387321,82567441,82618512,82776114,82906501,82983081,83006545,83613465,83914008,84155718,84281953,84481473,84534169,84536089,84576596,85051045,85348532,85430676,85566469,85628688,86022553,86174209,86370880,86402734,86661601,86676078,86682001,86731321,87280753,87345500,87513798,87631160,87643438,87646921,87763045,87838868,87862914,88015854,88017450,88044264,88372261,88403449,88403540,88434214,88463881,88641063,88646521,88712918,88781254,88798676,89187696,89347832,89650969,89746473,89786545,90142695,90186438,90310382,90506593,90583224,90727765,90813396,90981973,91019118,91196481,91401409,91532965,91814673,91970134,92068129,92492422,92652984,92671321,92680878,92945826,92960436,93240553,93249561,93261541,93281318,93406165,93539665,93863078,93885280,93934153,94268001,94320790,94403259,94619672,94668654,94917236,95123960,95281041,95706673,95776081,95867655,95890849,95956729,96055850,96152208,96174516,96281449,96288681,96332274,96634753,96868081,96872953,97029589,97143654,97167240,97413038,97495988,97835830,97887238,98459238,98585055,98794438,98862104,98876041,99049797,99149953,99250198,99476841,99607854,99738121,99769045,99847561,...,29856835410607608916487928043398552334704950711104127221601953596282702477577782954976654352186559242805844628142204317702682561162225764564138218106723232484484348977656242275073805633996425209994133473757769987646243966528503670356612087014345526359617633458412533458751626321929433511903450297843249748693691688772692686592065494343675027288481392552446518933394536785768179210218651091063205326118795178557895760509120734980453887127101493010409870826975273639989067413710121010808634088416959726786347892737846502594342542457560400311793378608393630458861232307612604984730670216458929448626823919073467338538887870166030226088180564586151359456078120387923328320293579202187125214073264408282754584804465127729715621657469382461689871847865984103563355478283543998594608998201255103455608327918709735480204564301204419826516068940666598599454251872455923857944176285942139107660794751525330410577636687261005855937439201185018620021078935199942712759549540246966735934675543635053414599408494804593784897762331658244538261223202161620593193671173249836825915331896992133727587706315709227710905494880666473839632130798553628914395488641931872691097281842341911166915826579265320984746033217257020738054444047105331196999323347696516284192671349698790049804545892988485728363439277993914756031027887180790399630115915065455328527547085809034766981515771460147250491574868438565027516106702504952125699523447873721861853930626185640793898505126526207358922307940351945866521230764805577536567113020582887077033907467174629696583756871693305562191255763878998140662995684370529235058216004243352889697623648619594943461667461687274668260779533016565954879602463282432454117149468297606091625645768516252071818449553679291904044549572138783641121055425479411114121743837249133530849429451423633740855382385602816811070161634439697812351481168062255876968301348180970899039189457352952892857471051901426808451474830574609465318267679459953555397879035722534396347013861662655850945522938556694635790230912448626401972965316196893795033433558142440026568846232988998128753634078426948119226280342868818331645252648506249142891097966690756472844049483028678471552861587593520370431502165316504904385000111579452493655055202447388208473570166189391586565912314713323890899257604479726709548509538041531914170617464978988938808099738702673943678509692807302030806107534327676955880340652851819142795496245691931338828863945498439321312153032770229915988464183183325914289008665014412343962612068905151033196577305832174931799135964054}
15912 15180446469820256700281766091453448599684002823521035158838761408: {79535,95442,174911,365447,445228,492311,636040,715545,730802,763248,840527,858654,921098,1207564,1408247,1628327,1722527,1968748,2160904,2192447,2379911,2414824,2431017,2567087,2716677,2722847,2816207,2847311,3193418,3381842,3570122,3591407,3653207,3683464,3776711,3930911,4051185,4115687,4143897,4207967,4238711,4321264,4321802,4337697,4423007,4576367,4696778,4851911,4861422,5157311,5163925,5445002,5478945,5492327,5631698,5766981,5844208,5962984,6117265,6196710,6219911,6491567,6574734,6609824,6708357,6792647,7120082,7122911,7228585,7340718,7436052,7490738,7691087,8018711,8230322,8414858,8563093,8641487,8674302,8738950,8783498,8909241,9084167,9172487,9378287,9788711,9817967,9964127,10326550,10486740,10506472,10560865,10899854,10923767,11165618,11185856,11212847,11261704,11385911,11386348,11702447,11764857,11819781,11893682,12232990,12246911,12267784,12389711,12391860,12503807,12584088,12646247,12669417,12673038,12780985,12930527,13021672,13217984,13228873,13242311,13419445,13703762,13774984,13801257,13883978,13919207,14157099,14320677,14361964,14423762,14649381,14675207,14679588,14870232,15086950,15102988,15203711,15337182,15370007,15496857,15571220,15678218,15756911,15867167,15896881,16103334,16169711,16591465,16690007,16729011,17017127,17048425,17261711,17397311,17475700,17532904,17544085,17829887,18045407,18104340,18258550,18448127,18685464,18715607,18769007,18875711,18898390,19158028,19248167,19274711,19311296,19574858,19724517,19750322,19780744,19803911,19909758,20434727,20458110,20617847,20625482,20748407,20782993,20800082,20970840,20982911,21021147,21027304,21052902,21372311,21475847,21527567,21720364,21725208,21759911,21774472,21796964,21821984,21910260,21914447,22171367,22244600,22253337,22368896,22521064,22529711,22678068,22709830,22757665,22814188,22884537,23013527,23056778,23140367,23370944,23401802,23592195,23655717,23696087,23771567,23941545,24433418,24440859,24496281,24549732,24631468,24820727,24895127,24947282,24974521,25025175,25165008,25336197,25354185,25537648,25782311,25800842,26148911,26250357,26292312,26368007,26634911,26693520,26765745,26780087,26902414,26997700,27044464,27213887,27251796,27309198,27573407,27812087,27954911,27978472,28022853,28168607,28171658,28244428,28287047,28310634,28452527,28473064,28473088,28508042,28550128,28729854,28782311,28805807,29011538,29157287,29367311,29562974,29578851,29623127,29689990,29715911,29791875,29955304,30030210,30181322,30200927,30347858,30407711,30425022,30659567,30680498,30993945,31138520,31228367,31250425,31475781,31778000,32032197,32032224,32118894,32174344,32273065,32306447,32397240,32401185,32417687,32499722,32510950,32912872,33060208,33609868,33699717,33867311,33975218,34301522,34557056,34561264,34633864,34835711,34952402,35030835,35114762,35282087,35366711,35383948,35493407,35598767,35627988,35750250,35976407,36036252,36101711,36185087,36196137,36226727,36446895,36620711,36744527,36798028,36909167,37026981,37192734,37366224,37372682,37500510,37522007,37532882,37564982,37692938,37765127,37825727,37855564,38127647,38133600,38267927,38432020,38447711,38491058,38559148,38727678,38745911,38876688,38881422,38923967,38963097,38963447,39013140,39421185,39551807,39602378,39610247,39760562,39918602,39920711,40000544,40382567,40464788,40592711,40675840,40763927,40821945,41179727,41236127,41348711,41610287,41614016,41628911,41703375,41788465,41833247,41888807,41974024,42018167,42037002,42049264,42059788,42165527,42232820,42264574,42275711,42294047,42840407,42894002,42900300,43092911,43104364,43191784,43204178,43361711,43433087,43539911,43543408,43691545,43735007,43736274,43788047,43822802,44174807,44483600,44523047,44592311,44695967,44833727,44936711,44953847,45000612,45048081,45192911,45260927,45359282,45760320,45766967,45948385,45967367,45969842,46050527,46118424,46431033,46545287,46567564,46815768,47077864,47097311,47193767,47220777,47305422,47486162,47560847,47600908,47671727,48033287,48220247,48266807,48359711,48421487,48513911,48590757,48652007,48682607,48732177,48811008,48986334,49137482,49272911,49422311,49646875,50044050,50146158,50388287,50679384,50706184,50716727,50801711,50815847,50942711,51361202,51443687,51480360,51484967,51771911,51883227,51920807,51974711,52295447,52374911,52429854,52519847,52651401,52667739,52679882,52728748,52902164,52962597,53025911,53262218,53293367,53331287,53380320,53552522,53598472,53651185,53664260,53874597,54013727,54074567,54159407,54320104,54399647,54577727,54613127,54683711,54695447,54729409,54770145,54858911,54905327,54912384,55032311,55138062,55138898,55215287,55568522,55586207,55641647,55711442,55758021,56034911,56099447,56142311,56281682,56365247,56667311,56759687,56831087,56939008,56948185,57012887,57014307,57044457,57162407,57182207,57200872,57274058,57368711,57504734,57556298,57600167,57657311,57680104,57704711,57806840,57855047,57915405,57929447,57938711,57994127,58021727,58067567,58158647,58212911,58259378,58400567,58421488,58427087,58558607,58653911,58679498,58705487,58725877,58739711,58833167,58866911,59083127,59116264,59229647,59237642,59397311,59487109,59514911,59576250,59584607,59676527,59752247,59774807,59856911,59930711,59967311,60010967,60052860,60083087,60118847,60242665,60298281,60319185,60332600,60428037,60431687,60451967,60552287,60591911,60622922,60753911,60792047,60798508,60811007,60941711,61026887,61032911,61098647,61110117,61122311,61151711,61238711,61357487,61374167,61379711,61510367,61651847,61697711,61703745,61727927,61742927,61776432,61795564,61869911,61912607,61968527,62103287,62116367,62120711,62146607,62180687,62205911,62283887,62307911,62327711,62351207,62419967,62437585,62538122,62580527,62614007,62649911,62662727,62715767,62745887,62754767,62789567,62845007,62907311,62929487,62953367,63000911,63042911,63072311,63079847,63110447,63132287,63140327,63158807,63185711,63197447,63199967,63203687,63215567,63222311,63227711,63233927,63251711,63270047,63280247,63287327,63291047,63294911,63296567,63297887,63350282,63529345,63548000,63571508,63888842,64056384,64136425,64340464,64350981,64362472,64381422,64397112,64441708,64890117,65032695,65092178,65358002,65640550,65724174,65755658,65767273,65814537,65817328,65887922,66152018,66505797,66741964,66919497,67110537,67210984,67874175,67984562,68160741,68337822,68395144,68478872,68724865,68761298,68943049,69028108,69368208,69498486,70110985,70758664,71186762,71255481,71491500,71729817,71938024,72063432,72291198,72383022,72399120,72407781,72446751,72644872,73023145,73188938,73351144,73424757,73436618,74044494,74291944,74666378,74841964,74925102,75466504,75518642,75574520,75612357,75639818,75701224,76002482,76234213,76235214,76257600,76604042,76644550,76677265,76843658,76944537,76963710,77038731,77225728,77419875,77437833,77440178,77677778,78039234,78179353,78184870,78512872,78768660,78980584,79208138,79260321,79603497,79790258,80611297,80714162,80930277,81071361,81339441,81341440,81354550,81449010,81725481,81742538,82014472,82094624,82149620,82308818,82342545,82421642,82469838,82520037,82581200,82761964,82792213,83207378,83233465,83578437,83700268,83894110,84019904,84133182,84324364,84537938,84899817,84947308,85021335,85163877,85195442,85304522,85789800,85879564,86060950,86504341,86693541,86878944,87081769,87355624,87410425,87455882,87627774,87770181,87832048,88300298,88326981,88853157,88974472,89196550,89476478,89652818,89729841,89779585,89858738,89889388,90111985,90503781,90689424,90816440,91384778,91485362,91509120,91712775,91742344,91959385,91973460,91986122,92012718,92085842,92266281,92356452,92685477,92823717,92903850,92940748,93122824,93821844,94050002,94146698,94357525,94455628,94522392,94643065,95226985,95295818,95390642,95485322,96369897,96513525,96517298,97009377,97256882,97348682,97609728,97625460,97652193,97738812,97826960,98105024,98144485,98275077,98490070,98528978,98579544,98797898,98811054,99097440,99154442,99306472,99552364,99600085,99684938,99880158,99990664,...,44785253115911413374731892065097828502057426066656190832402930394424053716366674432464981528279838864208766942213306476554023841743338646846207327160084848726726523466484363412610708450994637814991200210636654981469365949792755505534918130521518289539426450187618800188127439482894150267855175446764874623040537533159039029888098241515512540932722088828669778400091805178652268815327976636594807989178192767836843640763681102470680830690652239515614806240462910459983601120565181516212951132625439590179521839106769753891513813686340600467690067912590445688291848461418907477096005324688394172940235878610201007808331805249045339132270846879227039184117180581884992480440368803280687821109896612424131877206697691594573432486204073692534807771798976155345033217425315997891913497301882655183412491878064603220306846451806629739774103410999897899181377808683885786916264428913208661491192127287995615866455030891508783906158801777527930031618402799914069139324310370450103902013315452580121899112742206890677346643497487366807391834803242430889790506759874755238872997845488200591381559473563841566358242320999710759448196197830443371593232962897809036645922763512866750373739868897981477119049825885531107081666070657996795498985021544774426289007024548185074706818839482728592545158916990872134046541830771185599445173872598182992791320628713552150472273657190220875737362302657847541274160053757428188549285171810582792780895939278461190847757689789311038383461910527918799781846147208366304850669530874330615550861200761944544875635307539958343286883645818497210994493526555793852587324006365029334546435472929392415192501192530912002391169299524848932319403694923648681175724202446409137438468652774378107727674330518937856066824358208175461681583138219116671182615755873700296274144177135450611283073578404225216605242451659546718527221752093383815452452022271456348558784186029429339286206577852140212677212245861914197977401519189930333096818553583801594520520792493983776418284407835041953685346368672939602959447974295340692550150337213660039853269349483497193130451117640422178839420514303227497467878972759373714336646950036134709266074224543017707329292381390280555647253247974757356577500167369178740482582803671082312710355249284087379848868472069985836348886406719590064322764307062297871255926197468483408212149608054010915517764539210953046209161301491515433820510979277728714193244368537897008243295918247658981968229549155344873982696274774988871433512997521618515943918103357726549794865958748262397698703946081}
15913 15247043057542023702309643082650954799483994699503926456216828604: {15913,127256,143163,556535,667842,795050,954060,1017664,1096203,1144872,1287981,1381647,1509455,1811346,1890791,2112971,2272127,2460935,2684903,2701130,2953122,3018530,3223031,3241356,3622236,3781106,3845138,3922607,4543682,4604330,4747223,4790127,5072763,5113682,5128271,5217611,5355183,5401580,5525196,5783596,6481896,6482703,6638258,7019402,7045167,7292133,7305260,7453730,7501307,7689308,8033762,8167503,8262280,8447547,8452847,8766312,8944476,9176906,9193163,9295065,9787624,9853991,9862101,9914736,9975311,10680123,10734311,11011077,11154078,11236107,11307467,11393963,11565736,11878988,12053111,12345483,12622287,13011453,13108425,13133090,13175247,13750187,13982320,14077130,14232935,14304818,15334730,15341291,15489825,15686476,15730110,15759708,16277090,16349781,16522480,16748427,16778784,16892556,16897384,17066543,17079522,17218730,17308151,17840523,17952455,18349485,18398891,18401676,18587790,18876132,18878735,19009557,19052663,19094236,19464025,19532508,19572784,19636343,19705931,19826976,19927583,20449576,20555643,20662476,20825967,21152183,21155906,21242231,21345227,21471112,21542946,21635643,21844625,21916130,22019382,22305348,22345442,22375847,22630425,22654482,23005773,23191103,23356830,23517327,23663906,23947535,24139120,24155001,24383243,24481163,24725930,24913931,24913952,24981362,26041223,26210891,26213550,26284130,26299356,26546344,26556743,27150455,27156510,27218090,27246205,27277480,27387825,27805750,27961120,27990887,28028196,28070536,28151330,28152551,28220027,28347585,28480127,28517735,28737042,28798763,28881842,28927682,28940267,28966944,29113871,29213680,29253311,29362287,29625483,29671116,29864637,30237424,30241106,30304631,30512716,30687165,30732431,30789335,30902987,30915287,30938223,31028903,31200123,31456260,31540956,31579353,31922060,31978283,32094971,32580546,32587812,32661708,32695446,32732976,32865390,33346703,33366900,33553344,33723602,33747125,33781596,33805580,34017102,34064745,34156343,34221282,34528511,34585167,34973090,35000476,35056416,35102703,35305535,35370023,35591330,35591360,35687660,35775767,35796002,36046943,36335728,36412264,36582026,36650127,36727271,36793106,36824598,36947202,37363804,37399403,37420923,37444130,37747512,37792811,37866818,38045771,38100482,38196722,38306472,38460587,38701263,38701547,38923150,39190511,39246482,39438468,39722500,40040280,40217930,40353621,40496550,40566696,40877694,40963797,41141090,41193131,41325260,41467007,41482922,41517311,41967708,42007391,42012335,42257487,42366642,42465951,42683903,42709596,42709632,42762063,42825192,43094781,43196320,43201580,43292330,43517307,43596143,43930562,44069762,44229935,44344461,44367911,44408831,44534985,44932956,45045315,45271983,45521787,45528443,45637533,45997535,46020747,46174631,46652567,46707780,46898663,46943471,47319455,47455343,47503984,47530091,47667000,48040025,48048336,48178341,48197138,48198935,48261516,48595860,48621947,48658727,48718907,48749583,48766425,49369308,49586783,49590312,49821632,49861586,49901771,50000680,50050763,50414802,50470091,50580985,50844800,50962827,51062687,51118802,51452283,51636904,51658322,51726731,51835584,51841896,51950796,51986591,52017520,52098506,52263263,52318178,52428603,52467530,52561580,52574735,52672143,52791025,53075922,53296967,53441982,53445746,53625375,53642027,53702402,53880455,53989730,54054378,54146306,54429260,54661547,55060967,55197042,55300082,55604500,55789101,56049336,56059023,56140682,56250765,56297906,56299323,56317163,56343803,56347473,56432882,56539407,56783346,56811863,57056207,57200400,57433106,57449906,57590162,57648030,57736587,57803042,57838722,58091517,58209455,58315032,58322133,58519710,58617131,58758311,58809611,58847330,58960523,59403567,59447063,59501135,59640843,59845751,59856962,59877903,59919013,60000816,60064108,60110903,60605858,60697182,60981842,60991631,61011626,61013760,61079903,61491232,61908044,61913831,62406011,62421024,62873147,62945771,62961036,63055503,63073896,63089682,63349230,63382730,63396861,63564263,63588311,64182251,64217543,64341003,64350450,64656546,64787676,64806267,64976236,65005451,65081344,65315112,65604411,65734203,65789183,65910935,66033191,66127705,66238571,66398027,66725400,66861544,66935306,66993407,66998090,67080325,67500918,67571771,67572512,67900130,68038923,68081906,68304002,68640480,68698763,68740682,68894807,68954763,69108011,69177636,69331247,69591218,69703007,69832043,69851346,69879506,69906472,70201868,70223652,70459442,70554887,70616796,70958133,71173760,71229243,71401362,71501090,71605031,71762663,71832796,72100130,72258550,72409346,72529847,72670727,73026860,73216512,73346402,73479501,73517416,73549871,73636811,73706223,73871807,73895330,74004551,74344028,74601467,75066075,75219237,75290423,75415750,75998135,76010087,76019076,76059276,76090187,76436171,76853042,77041803,77145743,77220540,77244455,77852663,78439127,78458258,78630827,78644781,78950498,79019823,79076618,79093122,79353246,79435000,79464385,79780991,79893327,80070480,80214866,80274551,80309042,80328783,80356043,80397708,80425580,80453090,80496390,80552135,80570716,80935391,81291362,81480156,81482471,82271660,82345538,82368576,82486487,82707093,82708347,82917143,83028962,83352783,83427455,83454731,83567163,84004106,84013730,84022343,84422523,85408512,85493930,85598590,85801308,85841896,85862816,85911087,86257101,86285135,86334447,86413778,86520156,86702951,86710260,86742407,86821682,86850767,86893163,87063743,87134738,87181202,87389067,87491831,87632232,87752716,88019247,88235927,88445522,88448330,88657787,88674396,88856463,89137511,89225996,89297906,89364375,89480716,89662367,89881463,89922530,90079290,90187487,90498900,90614402,90806090,90880988,90893687,90934383,91117096,91197762,91413311,91688930,91746863,92075762,92079947,92490242,92490944,92525927,92660207,92664648,92683103,92693346,92864930,93180098,93364082,93552455,93807183,93946091,94024187,94134733,94333130,94468150,94560842,94626530,95007308,95025423,95322000,95357262,95639756,95833263,95889122,96084576,96294011,96388264,96456482,96510696,96532160,96543708,96556658,96572133,96595668,96662562,96748427,96988322,97353227,97579703,97638267,97899676,98037003,98141090,98181671,98460825,98586261,98633487,98725730,98725992,98831883,98950967,99228027,99489506,99669122,99716906,99900136,99906287,...,59713670821215217832975856086797104669409901422208254443203907192565404955155565909953308704373118485611689256284408635405365122324451529128276436213446464968968697955312484550147611267992850419988266947515539975292487933057007340713224174028691052719235266916825066917503252643858867023806900595686499497387383377545385373184130988687350054576962785104893037866789073571536358420437302182126410652237590357115791521018241469960907774254202986020819741653950547279978134827420242021617268176833919453572695785475693005188685084915120800623586757216787260917722464615225209969461340432917858897253647838146934677077775740332060452176361129172302718912156240775846656640587158404374250428146528816565509169608930255459431243314938764923379743695731968207126710956567087997189217996402510206911216655837419470960409128602408839653032137881333197198908503744911847715888352571884278215321589503050660821155273374522011711874878402370037240042157870399885425519099080493933471869351087270106829198816989609187569795524663316489076522446404323241186387342346499673651830663793984267455175412631418455421810989761332947679264261597107257828790977283863745382194563684683822333831653158530641969492066434514041476108888094210662393998646695393032568385342699397580099609091785976971456726878555987829512062055774361580799260231830130910657055094171618069533963031542920294500983149736877130055032213405009904251399046895747443723707861252371281587797010253052414717844615880703891733042461529611155073134226041165774154067814934349259393167513743386611124382511527757996281325991368741058470116432008486705779395247297239189886923334923374549336521559066033131909759204926564864908234298936595212183251291537032504143636899107358583808089099144277567282242110850958822228243487674498267061698858902847267481710764771205633622140323268879395624702962336124511753936602696361941798078378914705905785714942103802853616902949661149218930636535358919907110795758071445068792694027723325311701891045877113389271580461824897252803945930632393787590066867116284880053137692465977996257507268156853896238452560685737636663290505297012498285782195933381512945688098966057356943105723175187040740863004330633009808770000223158904987310110404894776416947140332378783173131824629426647781798515208959453419097019076083063828341234929957977877616199477405347887357019385614604061612215068655353911760681305703638285590992491383862677657727890996878642624306065540459831976928366366651828578017330028824687925224137810302066393154611664349863598271928108}
15914 15313929520640338475402070798347878813042938259470242250336162010: {111349,159070,190884,206713,349822,587449,730894,890456,984622,1001763,1192575,1272080,1431090,1461604,1526496,1534249,1681054,1717308,1842196,2004949,2415128,2717019,2816494,2847673,3256654,3445054,3937496,4051695,4239253,4321808,4384894,4429683,4527795,4759822,4791349,4829648,4862034,4883113,5134174,5157973,5433354,5445694,5632414,5671659,5694622,5767707,5796793,6386836,6522553,6751975,6763684,6815523,6906495,7140244,7153813,7182814,7229495,7306414,7366928,7512949,7553422,7670523,7861822,8049493,8102370,8231374,8287794,8316793,8415934,8477422,8564171,8642528,8643604,8675394,8846014,9131575,9152734,9203113,9291349,9393556,9611635,9703822,9722844,9819253,9957387,10120019,10257193,10314622,10327850,10529103,10890004,10957890,10984654,11040949,11180595,11263396,11533962,11688416,11925968,12050643,12234530,12393420,12419893,12439822,12847033,12983134,13149468,13219648,13272373,13416714,13585294,13765359,14240164,14245822,14453749,14457170,14681436,14785211,14788693,14848735,14872104,14981476,15382174,15786613,16037422,16116949,16199353,16460644,16528249,16731117,16829716,17126186,17282974,17348604,17477900,17566996,17670313,17818482,17893379,18074773,18168334,18344974,18756574,18787223,19277353,19577422,19608095,19635934,19699635,19928254,20070073,20653100,20973480,21011833,21012944,21115695,21121730,21137611,21401173,21457227,21799708,21847534,22331236,22371712,22425694,22481749,22523408,22771822,22772696,23002095,23168953,23228051,23404894,23529714,23595165,23639562,23699413,23787364,23867795,24076153,24415635,24465980,24493822,24535568,24561719,24675193,24779422,24783720,25007614,25168176,25292494,25338834,25346076,25561970,25619283,25785973,25828095,25861054,26043344,26435968,26457746,26484622,26838890,27241813,27407524,27549968,27602514,27744553,27767956,27838414,27881685,27958933,28314198,28641354,28723928,28809973,28847524,29298762,29350414,29359176,29515343,29740464,30173900,30205333,30205976,30407422,30412153,30674364,30740014,30993714,31096873,31142440,31164949,31356436,31513822,31733859,31734334,31793762,31841749,31860731,32177449,32206668,32314419,32339422,32843449,32874195,33029073,33182930,33239593,33380014,33458022,33518163,33567733,33981723,34034254,34096850,34523422,34794622,34798249,34951400,35035245,35065808,35088170,35117749,35495859,35659774,36002773,36090814,36208680,36377749,36517100,36896254,37088895,37242613,37370928,37431214,37472043,37538014,37751422,37796780,38140895,38316056,38496334,38549422,38622592,39149716,39320325,39343033,39426195,39449034,39500644,39561488,39607822,39819516,39902575,40734765,40827135,40846249,40869454,40916220,41235694,41250964,41496814,41565986,41600164,41635513,41708625,41747113,41913973,41941680,41965822,42042294,42054608,42105804,42190633,42226995,42256975,42300793,42744622,42951694,43055134,43063849,43105563,43117813,43322763,43391523,43440728,43450416,43519822,43548944,43593928,43643968,43750595,43812793,43820520,43828894,44076853,44342734,44443513,44489200,44506674,44609575,44651449,44737792,44961193,45042128,45059422,45182291,45356136,45361659,45419660,45515330,45628376,45769074,46027054,46113556,46280734,46667449,46704755,46741888,46803604,46911349,47184390,47201653,47311434,47392174,47543134,47868949,47883090,48057013,48383353,48866836,48870819,48881718,48992562,49043169,49099464,49262936,49298085,49641454,49653125,49790254,49894564,49918249,49949042,50050350,50136949,50330016,50397013,50585403,50672394,50708370,50824693,50993749,51025653,51075296,51331923,51564622,51601684,51656575,51781033,52024249,52064533,52297822,52423849,52459635,52463413,52500714,52584624,52736014,53239573,53269822,53353513,53386995,53387040,53531490,53541973,53560174,53694003,53804828,53995400,54001975,54088928,54313849,54427774,54503592,54618396,54634933,54705493,54873039,55019449,55146814,55189659,55236897,55420803,55624174,55860949,55909822,55956944,56045706,56166195,56337214,56343316,56488856,56501749,56574094,56621268,56800227,56841913,56905054,56946128,56946176,56963449,57016084,57100256,57150723,57295083,57459708,57553849,57564622,57611614,57668473,57949993,57977749,58023076,58314574,58384725,58385449,58503851,58734622,58751353,58869723,59125948,59157702,59246254,59379980,59431822,59511349,59583750,59650453,59910608,59986873,60060420,60286249,60326895,60362644,60401854,60471253,60571513,60695716,60744825,60785749,60815422,60850044,61045813,61135273,61168163,61316541,61319134,61360996,61392853,61409449,61571449,61665193,61711635,61815673,61888213,61930873,61987890,62027893,62134453,62211349,62224383,62277040,62380693,62448949,62456734,62500850,62705449,62751349,62795449,62924473,62946613,62951562,62995753,63137449,63157033,63188533,63200953,63237673,63259093,63272233,63313813,63549963,63556000,64064394,64064448,64237788,64327739,64348688,64546130,64612894,64794480,64802370,64835374,64938495,64999444,65021900,65701975,65825744,65895843,66104643,66120416,67219736,67399434,67734622,67950436,68036575,68603044,69114112,69122528,69267728,69505625,69671422,69904804,70061670,70229524,70302947,70564174,70733422,70767896,70986814,71197534,71255976,71500500,71952814,72072504,72203422,72295707,72370174,72392274,72453454,72893790,73241422,73489054,73596056,73818334,74053962,74385468,74732448,74745364,74792379,75001020,75044014,75065764,75080135,75111659,75129964,75385876,75530254,75622203,75651454,75711128,76255294,76267200,76535854,76678203,76864040,76895422,76982116,77118296,77385055,77455356,77487483,77491822,77724959,77753376,77762844,77847934,77926194,77926894,78026280,78147759,78477267,78701295,78842370,79103614,79204756,79220494,79521124,79613883,79727459,79837204,79841422,80001088,80162973,80168619,80553603,80765134,80929576,80984595,81081567,81185422,81219459,81220295,81351680,81527854,81643890,82359454,82472254,82697422,82795563,82950123,83220574,83228032,83257822,83406750,83576930,83666494,83777614,83948048,84036334,84074004,84098528,84119576,84211023,84331054,84339731,84446859,84465640,84529148,84551422,84588094,84649323,85175019,85680814,85788004,85800600,86149659,86174859,86185822,86208728,86383568,86385243,86408356,86472045,86704563,86723422,86758083,86866174,87079822,87086816,87383090,87412619,87470014,87472548,87576094,87645604,87752335,87779565,88270995,88349614,88941083,88967200,89046094,89184622,89391934,89667454,89785443,89790995,89873422,89907694,90001224,90094979,90096162,90385822,90521854,90718564,90908787,91045773,91283575,91472763,91517439,91520640,91533934,91896770,91934734,91939684,92101054,92236848,92862066,92930035,93090574,93135128,93631536,94155728,94194622,94387534,94441554,94610844,94634523,94972324,95023845,95074095,95121694,95201816,95343454,96066574,96214811,96440494,96525675,96533614,96719422,96842974,96984819,97027822,97181514,97304014,97326683,97365214,97464354,97622016,97972668,98155379,98274964,98545822,98844622,99293750,...,89570506231822826749463784130195657004114852133312381664805860788848107432733348864929963056559677728417533884426612953108047683486677293692414654320169697453453046932968726825221416901989275629982400421273309962938731899585511011069836261043036579078852900375237600376254878965788300535710350893529749246081075066318078059776196483031025081865444177657339556800183610357304537630655953273189615978356385535673687281527362204941361661381304479031229612480925820919967202241130363032425902265250879180359043678213539507783027627372681200935380135825180891376583696922837814954192010649376788345880471757220402015616663610498090678264541693758454078368234361163769984960880737606561375642219793224848263754413395383189146864972408147385069615543597952310690066434850631995783826994603765310366824983756129206440613692903613259479548206821999795798362755617367771573832528857826417322982384254575991231732910061783017567812317603555055860063236805599828138278648620740900207804026630905160243798225484413781354693286994974733614783669606484861779581013519749510477745995690976401182763118947127683132716484641999421518896392395660886743186465925795618073291845527025733500747479737795962954238099651771062214163332141315993590997970043089548852578014049096370149413637678965457185090317833981744268093083661542371198890347745196365985582641257427104300944547314380441751474724605315695082548320107514856377098570343621165585561791878556922381695515379578622076766923821055837599563692294416732609701339061748661231101722401523889089751270615079916686573767291636994421988987053111587705174648012730058669092870945858784830385002385061824004782338599049697864638807389847297362351448404892818274876937305548756215455348661037875712133648716416350923363166276438233342365231511747400592548288354270901222566147156808450433210484903319093437054443504186767630904904044542912697117568372058858678572413155704280425354424491723828395954803038379860666193637107167603189041041584987967552836568815670083907370692737345879205918895948590681385100300674427320079706538698966994386260902235280844357678841028606454994935757945518747428673293900072269418532148449086035414658584762780561111294506495949514713155000334738357480965165607342164625420710498568174759697736944139971672697772813439180128645528614124595742511852394936966816424299216108021831035529078421906092418322602983030867641021958555457428386488737075794016486591836495317963936459098310689747965392549549977742867025995043237031887836206715453099589731917496524795397407892162}
15915 15381107110984225740797637211958634848568530561350259567204834098: {31826,238605,254512,286326,524733,779149,1096341,1113070,1335684,1476933,1590100,1827005,1908120,2035328,2113237,2146635,2192406,2289744,2302745,2521581,2575962,2685241,2763294,2970869,3018910,3445309,3622692,3781582,4017893,4224741,4225942,4544254,4589609,4884981,4921870,5167581,5369806,5402260,5731597,5906244,6037060,6446062,6482712,6577341,7139733,7244472,7293051,7562212,7690276,7701261,7845214,7983545,8150031,8168541,8448621,8454605,8541933,8865181,8925305,9087364,9208660,9494446,9580254,10145526,10227364,10256542,10435222,10710366,10774221,10803160,10804505,10959621,11050392,11148877,11330133,11567192,11741945,11792733,12153555,12347061,12431691,12623901,12716133,12963792,12965406,13013091,13269021,13276516,13612505,13729101,14038804,14079245,14090334,14555733,14584266,14610520,14907460,15002614,15378616,15471933,15491775,16067524,16250221,16335006,16436835,16476981,16524560,16895094,16905694,17300943,17532624,17557133,17800205,17888952,18351795,18353812,18386326,18590130,18593069,18659733,18726845,19474701,19575248,19628213,19707982,19724202,19829472,19926109,19950622,20125071,20377941,20575805,21037145,21360246,21368733,21468622,21685755,21847375,21946501,21958745,22022154,22308156,22472214,22614934,22728893,22787926,23073261,23131472,23741317,23757976,23760869,23919017,24056133,24106222,24690966,25133437,25244574,25689279,25816375,25924461,26022906,26216850,26266180,26350494,26430229,26727723,27123449,27249635,27252501,27500374,27517461,27914045,27964640,28134861,28154260,28465870,28609636,28723829,28908869,29366133,29453901,29734205,29892381,29921293,29936093,30179381,30582475,30669460,30682582,30979650,31372952,31460220,31519416,31682595,32348741,32554180,32694877,32699562,32771301,32851909,33044960,33350941,33496854,33526549,33557568,33638541,33785112,33794768,34133086,34157733,34159044,34259405,34437460,34616302,34709945,35107341,35113109,35294571,35459343,35681046,35698969,35904910,36059405,36682493,36698970,36707369,36740733,36797782,36803352,37169133,37175580,37511421,37717375,37752264,37757470,37938741,38008251,38010637,38019114,38037821,38105326,38144687,38188472,38342955,38791581,38928050,39065016,39145568,39195545,39272686,39411862,39653952,39686619,39726933,39855166,39892217,39924829,40164773,40258335,40772057,40899152,41111286,41324952,41403771,41651934,41757621,42304366,42311812,42471297,42484462,42690454,42942224,42962031,43085892,43105069,43271286,43689250,43832260,43838357,43948143,44025621,44038764,44234069,44407481,44610696,44660309,44690884,44751694,45249413,45260850,45308964,45453421,45611133,45646375,46002533,46011546,46110021,46382206,46490571,46713660,46949437,47034654,47245975,47270733,47327812,47471509,47487893,47601501,47690643,47895070,48278240,48310002,48509133,48725101,48766486,48937145,48962326,49065913,49375805,49415981,49427749,49451860,49774395,49827862,49827904,49962724,50070021,50187033,51051381,51145275,51563705,51688121,51785133,52000205,52082446,52191933,52421782,52427100,52568260,52598712,52632255,52714589,53092688,53113486,53489661,53736773,54136221,54300910,54313020,54436180,54492410,54554960,54775650,54989357,55344381,55611500,55922240,55981774,56056392,56141072,56146821,56302660,56305102,56307021,56440054,56627133,56695170,56774575,56960254,57035470,57462301,57474084,57597526,57641945,57744501,57763684,57824133,57855364,57880534,57933888,58227742,58427360,58504505,58506622,58724574,58817269,59173551,59250966,59342232,59411733,59421533,59729274,60384533,60474389,60474848,60482212,60609262,61025432,61083545,61304181,61374330,61464862,61578670,61805974,61830574,61853541,61876446,61921909,62057806,62245221,62348979,62368205,62400246,62570777,62912520,62948733,63063441,63081912,63158706,63844120,63956566,64116933,64189942,64396549,64427541,64502105,64521469,64582701,65161092,65175624,65279733,65315993,65323416,65390892,65465952,65730780,65743341,66247237,66514101,66693406,66733800,66760011,66765749,67106688,67256035,67447204,67478509,67494250,67563192,67589133,67611160,67999577,68034204,68129490,68167117,68272995,68312686,68335529,68442564,68653611,69040581,69057022,69169829,69170334,69421101,69946180,70000952,70112832,70205406,70429145,70611070,70740046,70776585,70813379,70967151,71088261,71182660,71182720,71270105,71314701,71375320,71471417,71551534,71592004,71824635,72093886,72528845,72671456,72824528,73020713,73164052,73300254,73322577,73357493,73454542,73488843,73586212,73604629,73646173,73649196,73894404,73907435,74224975,74401241,74462181,74685381,74727608,74798806,74841846,74845949,74888260,74923563,75075525,75341453,75432637,75453305,75495024,75585622,75733636,75869645,76008591,76062555,76091542,76200964,76393444,76543309,76612944,76701245,76921174,77240381,77346933,77402526,77403094,77846300,78311453,78381022,78446733,78492964,78751071,78876936,79104021,79262069,79445000,79511693,79904733,80080560,80297235,80340261,80435860,80707242,80945677,80993100,81133392,81249305,81277375,81493237,81641661,81755388,81927594,82202797,82282180,82376281,82386262,82650520,82720221,82792517,82934014,82965844,83034622,83245613,83301589,83436261,83864733,83935416,83966009,84014782,84024670,84068559,84368633,84505821,84514974,84733284,84861141,84931902,84938045,85213733,85357581,85367806,85419192,85419264,85524126,85650384,85753805,86189562,86346933,86392640,86403160,86417421,86584660,87034614,87192286,87381005,87471861,87786905,87861124,87866749,88101933,88139524,88159973,88394729,88459870,88688922,88735822,88736553,88817662,88869381,89069970,89147733,89375625,89865912,90090630,90295493,90543966,90602781,91043574,91056886,91223133,91275066,91735349,91978701,91995070,92041494,92275309,92349262,92578787,92672101,92879573,92927341,92981835,93305134,93415560,93431705,93685101,93751275,93797326,93832205,93886942,93912455,94036141,94232345,94320761,94427343,94539821,94638910,94910686,95007968,95060182,95334000,96080050,96096591,96096672,96227645,96356682,96394276,96397870,96523032,96819195,96892709,96919341,97191720,97203555,97243894,97253061,97317454,97437814,97499166,97532850,98738616,99005945,99173566,99180624,99401405,99423437,99624277,99643264,99723172,99796505,99803542,...,134355759347734240124195676195293485506172278199968572497208791183272161149100023297394944584839516592626300826639919429662071525230015940538621981480254546180179570399453090237832125352983913444973600631909964944408097849378266516604754391564554868618279350562856400564382318448682450803565526340294623869121612599477117089664294724546537622798166266486009335200275415535956806445983929909784423967534578303510530922291043307412042492071956718546844418721388731379950803361695544548638853397876318770538565517320309261674541441059021801403070203737771337064875545384256722431288015974065182518820707635830603023424995415747136017396812540637681117552351541745654977441321106409842063463329689837272395631620093074783720297458612221077604423315396928466035099652275947993675740491905647965550237475634193809660920539355419889219322310232999693697544133426051657360748793286739625984473576381863986847599365092674526351718476405332583790094855208399742207417972931111350311706039946357740365697338226620672032039930492462100422175504409727292669371520279624265716618993536464601774144678420691524699074726962999132278344588593491330114779698888693427109937768290538600251121219606693944431357149477656593321244998211973990386496955064634323278867021073644555224120456518448185777635476750972616402139625492313556798335521617794548978373961886140656451416820971570662627212086907973542623822480161272284565647855515431748378342687817835383572543273069367933115150385731583756399345538441625098914552008592622991846652583602285833634626905922619875029860650937455491632983480579667381557761972019095088003639306418788177245577503577592736007173507898574546796958211084770946043527172607339227412315405958323134323183022991556813568200473074624526385044749414657350013547847267621100888822432531406351833849220735212675649815727354978640155581665256280151446357356066814369045676352558088288017858619733556420638031636737585742593932204557569790999290455660751404783561562377481951329254853223505125861056039106018818808878343922886022077650451011640980119559808048450491579391353352921266536518261542909682492403636918278121143009940850108404127798222673629053121987877144170841666941759743924272069732500502107536221447748411013246938131065747852262139546605416209957509046659220158770192968292921186893613767778592405450224636448824162032746553293617632859138627483904474546301461532937833186142579733105613691024729887754742976945904688647466034621948088824324966614300538992564855547831754310073179649384597876244787193096111838243}
15916 15448577085806739719559004675288159893056067357269861512683408019: {47739,222698,318140,381768,413426,429489,460723,699644,1174898,1461788,1669605,1691563,1780912,1785739,1969244,1987625,2003526,2349283,2385150,2544160,2630083,2816923,2862180,2923208,3052992,3068498,3288609,3362108,3434616,3654139,3684392,3863943,4009898,4144941,4209043,4528365,4830256,5402443,5434038,5632988,5672373,5695346,6040003,6338913,6493243,6513308,6752825,6816381,6854539,6890108,6944683,7382805,7546325,7752739,7874992,8054709,8103390,8478506,8554963,8643616,8769788,8859366,8998123,9055590,9439483,9452765,9519644,9582698,9612845,9659296,9669093,9724068,9766226,9879043,9966739,10121293,10268348,10315946,10404139,10866708,10891388,11264828,11273539,11343318,11359205,11389244,11510825,11535414,11593586,11767821,12221563,12649603,12773672,12784205,12990739,13045106,13456289,13503950,13527368,13631046,13812990,14175643,14241669,14280488,14307626,14365628,14370381,14458990,14595403,14612828,14733856,15025898,15106844,15180043,15218289,15341046,15384813,15595483,15652833,15723644,16065549,16098986,16204740,16338739,16462748,16575588,16595645,16633586,16831868,16954844,17128342,17157739,17285056,17287208,17350788,17548505,17564539,17692028,17888683,18263150,18305468,18406226,18453163,18582698,18634325,18694003,18774139,18787112,18854203,19223270,19407644,19445688,19448109,19638506,19888483,19914774,19967539,20084405,20240038,20514386,20629244,20655700,20675803,20788229,21058206,21135501,21533539,21780008,21876399,21915780,21969308,22081898,22361190,22503921,22526792,22942265,23067924,23070739,23376832,23753083,23851936,24101286,24279763,24469060,24502509,24786840,24839786,24879644,24980813,25342641,25358541,25694066,25966268,26298936,26439296,26544746,26715163,26833428,27170588,27221683,27451333,27530718,27579489,27867739,27885195,28295203,28480328,28491644,28861123,28907498,28914340,29362872,29561973,29570422,29577386,29586303,29631739,29697470,29744208,29925933,29962952,30255763,30599923,30764348,30942283,31282843,31573226,31756603,32040369,32074844,32202933,32233898,32360539,32398706,32627083,32658989,32832725,32921288,32958643,33033231,33056498,33090763,33414913,33462234,33659432,33708321,33922401,34072483,34181889,34252372,34396123,34565948,34697208,34881769,34955800,35133992,35192825,35229163,35340626,35546323,35636964,35672683,35762045,35786758,35987323,36149546,36159333,36237739,36336668,36611203,36689948,37036449,37513148,37533523,37574446,37837363,37866861,38319763,38336825,38379739,38554706,38738083,38975539,39034359,39154844,39216190,39271868,39325275,39399270,39525741,39856508,40140146,40692725,40719739,41230363,41250561,41306200,41946960,42023666,42025888,42068443,42231390,42243460,42275222,42454003,42672739,42698805,42802346,42914454,43046825,43599416,43695068,43802203,44276539,44662472,44743424,44851388,44963498,45002803,45046816,45360643,45543644,45545392,45765283,46004190,46015843,46023873,46065739,46337906,46456102,46469475,46809788,47059428,47096923,47190330,47241643,47279124,47398826,47574728,47576803,47719363,47735590,47766739,47814043,48049483,48152306,48653203,48699139,48745003,48831270,48931960,48987644,49049343,49071136,49123438,49334683,49350386,49558844,49567440,49647163,49824139,50015228,50218123,50245281,50336352,50584988,50649043,50677668,50692152,51123940,51199629,51238566,51323539,51489283,51530539,51571946,51656190,51694843,51722108,51924453,52086688,52300723,52340539,52538539,52734739,52871936,52889765,52915492,52969244,53350483,53397253,53521569,53677780,53857365,53911003,54203323,54239539,54383683,54483626,54790325,54815048,55048455,55099936,55196673,55205028,55489106,55535912,55676828,55763370,55863605,55917866,56280739,56312563,56628396,56636205,56719723,56873083,57028671,57157989,57204139,57282708,57447856,57619946,57641539,57695048,58035163,58090243,58199539,58392075,58597524,58599139,58700828,58718352,58728739,58881883,58909029,59007523,59030686,59117793,59159765,59444923,59480928,59608723,59782749,59925739,60143539,60228643,60347800,60410666,60411952,60537523,60676123,60814844,60824306,61052683,61250833,61348728,61480028,61642363,61666929,61719403,61814825,61939723,61987428,62117563,62193746,62246083,62284880,62307643,62329898,62379139,62453405,62477901,62557123,62608963,62712872,62824243,62832739,62905963,63027644,63107923,63145723,63160843,63230539,63248539,63302539,63311539,63313123,63323203,63327163,63456549,63467718,63468668,63587524,63683498,63721462,63726693,64035681,64354898,64413336,64628838,64678844,64906929,65386657,65533875,65686898,65710325,65748390,66058146,66365860,66479186,66760028,66916044,67036326,67127541,67135466,67891275,67963446,68045225,68068508,68193700,69017319,69046844,69514375,69573309,69589244,69596498,69902800,70070490,70131616,70176340,70235498,70378325,70551981,70991718,71319548,71842605,72005546,72181628,72204605,72319205,72417360,72465003,72755498,73034200,73149729,73443489,73792508,74177790,74485226,74741793,74741856,74862428,74944086,75076028,75502844,75593560,75602765,76281790,76632112,76992668,77098844,77245184,78123669,78299432,78632673,78640650,78686066,78852390,78898068,79001288,79122976,79215644,79639032,79670229,79805150,81451365,81469530,81654270,81692498,81738615,81738908,81832440,82163475,82471388,82501928,82993628,83085301,83131972,83200328,83271026,83417250,83494226,83827946,83883360,83931644,83972661,84084588,84109216,84211608,84309005,84381266,84453990,84457653,84513950,84601586,84660081,85042755,85440381,85489244,85553205,85903388,86003357,86110268,86127698,86211126,86235626,86396289,86645526,86783046,86820801,86881456,86900832,87039644,87097888,87187856,87287936,87341613,87432725,87501190,87625586,87641040,87657788,87759933,88086861,88153706,88685468,88876449,88887026,88978325,88978400,89013348,89219150,89302898,89475584,89490005,89593911,89922386,90084256,90118844,90364582,90712272,90723318,90839320,90913893,91030660,91256752,91455065,91538148,91982765,92054108,92061495,92197293,92227112,92283521,92368005,92561468,92708961,92745861,92814669,93086709,93334898,93409510,93483776,93600369,93607208,93610325,93822698,94368780,94403306,94622868,94667045,94738059,94784348,95086268,95251205,95491805,95737898,95766180,95934849,96114026,96284913,96766706,97307875,97733672,97741638,97763436,97985124,98086338,98116205,98198928,98525872,98596170,99282908,99306250,99580508,99789128,99836498,99898084,...,179141012463645653498927568260391314008229704266624763329611721577696214865466697729859926113119355456835067768853225906216095366973354587384829308640339394906906093865937453650442833803978551259964800842546619925877463799171022022139672522086073158157705800750475200752509757931576601071420701787059498492162150132636156119552392966062050163730888355314679113600367220714609075261311906546379231956712771071347374563054724409882723322762608958062459224961851641839934404482260726064851804530501758360718087356427079015566055254745362401870760271650361782753167393845675629908384021298753576691760943514440804031233327220996181356529083387516908156736468722327539969921761475213122751284439586449696527508826790766378293729944816294770139231087195904621380132869701263991567653989207530620733649967512258412881227385807226518959096413643999591596725511234735543147665057715652834645964768509151982463465820123566035135624635207110111720126473611199656276557297241481800415608053261810320487596450968827562709386573989949467229567339212969723559162027039499020955491991381952802365526237894255366265432969283998843037792784791321773486372931851591236146583691054051467001494959475591925908476199303542124428326664282631987181995940086179097705156028098192740298827275357930914370180635667963488536186167323084742397780695490392731971165282514854208601889094628760883502949449210631390165096640215029712754197140687242331171123583757113844763391030759157244153533847642111675199127384588833465219402678123497322462203444803047778179502541230159833373147534583273988843977974106223175410349296025460117338185741891717569660770004770123648009564677198099395729277614779694594724702896809785636549753874611097512430910697322075751424267297432832701846726332552876466684730463023494801185096576708541802445132294313616900866420969806638186874108887008373535261809808089085825394235136744117717357144826311408560850708848983447656791909606076759721332387274214335206378082083169975935105673137631340167814741385474691758411837791897181362770200601348854640159413077397933988772521804470561688715357682057212909989871515891037494857346587800144538837064296898172070829317169525561122222589012991899029426310000669476714961930331214684329250841420997136349519395473888279943345395545626878360257291057228249191485023704789873933632848598432216043662071058156843812184836645205966061735282043917110914856772977474151588032973183672990635927872918196621379495930785099099955485734051990086474063775672413430906199179463834993049590794815784324}
15917 15516340707727767803665772428747197123599455817320768309252087387: {63652,334047,397675,477210,509024,572652,620139,874555,1049466,1558298,1762347,1827235,2192682,2226140,2461555,2557807,2671368,2953866,2971243,3005289,3180200,3223843,3320383,3511027,3577725,3654010,3816240,4070656,4202635,4226474,4293270,4384812,4579488,4602747,4605490,4748419,5043162,5064763,5129563,5151924,5370482,5526588,5941738,6014847,6037820,6207907,6890618,7041235,7245384,7563164,8035786,8141635,8151057,8199103,8449482,8451884,8543019,8612635,9088508,9179218,9769962,9843740,10335162,10739612,10804520,10962235,11053723,11176963,11463194,11812488,11836447,11899555,12074120,12155085,12495427,12717759,12835435,12892124,12965424,13154682,13289049,13337419,13583385,13614235,14081035,14236555,14279466,14374047,14446399,14488944,14586102,14649339,15124424,15126307,15380552,15402522,15473919,15484843,15690428,15967090,16300062,16337082,16438723,16868203,16897242,16909210,17014977,17083866,17303121,17390379,17730362,17850610,17904799,17957035,18174728,18266035,18417320,18883555,18940603,18988892,19057507,19160508,19567659,19654555,19710943,20255925,20291052,20446569,20454728,20513084,20578435,20719485,20749339,20870444,21039835,21193555,21420732,21461439,21548442,21606320,21609010,21688485,21919242,21973627,22100784,22115035,22297754,22317787,22538847,22660266,22881835,23011569,23134384,23196979,23483890,23585466,24107743,24148479,24259555,24307110,24694122,24863382,24920287,24950379,25247802,25432266,25692513,25786555,25819625,25838959,25927584,25930812,26026182,26059147,26217583,26538042,26553032,26733019,26861419,27198523,27225010,27394725,27458202,27461635,27609339,27660547,27874047,28077608,28081027,28158490,28180668,28806127,28834905,28912543,29111466,29168532,29221040,29260723,29452003,29457759,29814920,29872161,29939899,30005228,30314443,30326827,30360057,30586325,30742243,30757232,30771579,30943866,30966463,30983550,31099555,31587309,32103103,32135048,32457835,32500442,32567203,32670012,32873670,32953962,33049120,33122847,33541785,33790188,33811388,33963235,34053907,34165027,34383379,34601886,34953007,35065248,35114266,35243107,35379019,35600410,35614555,35777904,36142925,36151929,36218419,36703590,36707624,36772652,37180260,37186138,37243243,37259679,37319466,37408879,37453690,38149489,38261323,38455435,38470399,38541099,38851807,38949402,39079663,39150463,39150496,39244063,39256426,39400147,39415964,39448404,39658944,39817119,39852218,39901244,40093555,40250142,40427683,40661119,40755882,41025883,41151610,41188543,41296077,41530243,41627887,42074290,42720492,42737466,42815465,42937244,43207435,43361247,43371510,43427323,43583923,43607227,43694750,43893002,43917490,44044308,44239723,44355633,44366079,44420083,44546205,44585419,44616312,44665987,44944428,45229868,45255199,45324403,45420835,45457786,45575852,45862435,46055407,46146522,46240123,46253107,46262944,46891435,47298379,47359839,47467459,47482634,47515952,47521738,47621563,47838034,47963167,48112266,48212444,48246559,48350847,48512587,48593923,48598059,48943555,49089835,49381932,49584747,49763647,49820635,49914463,50193351,50266874,50483167,50489148,51091099,51166483,51378558,51632750,51848922,51999763,52045812,52276627,52433700,52532360,52700988,52804325,52860458,53010939,53455446,53476579,53680137,54199507,54224319,54246898,54499270,54505002,54618835,54873763,55000748,55034922,55252819,55828090,55929280,56064235,56095147,56269722,56308520,56358079,56361669,56826307,56853403,56929555,56931740,57219272,57447658,57606763,57714283,57817738,57832059,58047763,58512235,58631983,58732266,58824285,58907802,58975519,59098905,59388703,59468410,59784762,59842586,59872186,60210219,60358762,60407407,61007203,61095379,61164950,61234555,61338920,61365164,61585087,61948555,61959300,62056987,62421823,62445307,62519035,62745904,62920440,63035499,63038832,63231235,63347085,63365190,63412833,63484219,63630643,63904925,64203519,64371681,64652635,64697482,64732063,65108360,65389754,65399124,65542602,65703818,65921827,66089920,66131743,66144365,66211555,66609379,66701882,66774283,66886003,66993708,67053098,67097225,67115136,67277082,67445247,67570224,67589023,67589536,68008219,68266172,68315466,68318088,68344267,68502139,68512003,68518810,68874920,68912323,69006285,69126127,69232604,69419890,69506859,69596035,69684153,69721003,70214682,70226218,70462723,70589142,70785495,70918686,71098239,71362092,71363539,71397938,71603385,71623243,71809820,71909107,72002803,72118810,72189187,72228459,72543967,72689203,72800287,73246905,73364986,73376035,73397940,73414738,73481466,73595564,73606704,73685157,73697899,74025579,74338266,74351160,74611963,74620543,74690143,75022842,75434750,75504528,75514940,75877482,76016502,76018555,76021274,76038228,76075642,76109599,76210652,76289374,76328047,76335403,76375003,76376944,76582699,76685910,76850035,76857849,77357919,77484285,77583162,77738467,77856100,78130032,78291136,78391090,78545372,78651199,78784555,78823724,79307904,79310143,79335835,79373238,79453866,79484405,79710332,79784434,79849658,79858699,79879819,80329546,80376559,80516670,80698723,80743603,80848555,81058147,81284863,81544114,81725439,81751459,81797407,81798304,81906307,82005043,82222572,82649904,82807542,82957325,83233659,83303868,83450035,83515242,83645055,83876799,83927299,83976787,84608732,84623624,84942594,84968924,85085635,85242125,85380908,85516963,85599043,85884448,85924062,86039299,86171784,86210138,86308555,86429919,86542572,86695219,86725003,86986555,87315487,87378500,87606763,87664520,87676714,87680287,87720425,87896286,88051242,88077528,88405963,88437103,88468138,88498399,88546029,88814962,89039899,89149435,89221392,89320618,89381768,89503388,89685163,90200203,90227035,90302947,90307039,90498826,90521700,90615999,90617928,90906842,91222266,91236459,91292750,92005066,92023092,92220042,92240635,92264083,92415103,92549899,92706667,92764412,92981142,93290619,93427320,93494847,93578035,93844363,93845035,93898874,93982843,94043323,94069308,94158449,94378555,94491950,94541466,94655624,94846723,94943018,94975786,95201577,95203002,95381286,95495899,95525247,95582193,95790140,96076243,96240835,96373555,96532347,96556480,96620004,96905023,96943257,97018266,97293163,97450202,97532972,97874290,97924652,98131826,98381179,98456707,98530347,98600803,98622585,98751610,98831962,98855498,98903720,98914783,99019555,99087219,99548790,99655724,99655808,99718779,99778147,99886699,99925448,...,268711518695468480248391352390586971012344556399937144994417582366544322298200046594789889169679033185252601653279838859324143050460031881077243962960509092360359140798906180475664250705967826889947201263819929888816195698756533033209508783129109737236558701125712801128764636897364901607131052680589247738243225198954234179328589449093075245596332532972018670400550831071913612891967859819568847935069156607021061844582086614824084984143913437093688837442777462759901606723391089097277706795752637541077131034640618523349082882118043602806140407475542674129751090768513444862576031948130365037641415271661206046849990831494272034793625081275362235104703083491309954882642212819684126926659379674544791263240186149567440594917224442155208846630793856932070199304551895987351480983811295931100474951268387619321841078710839778438644620465999387395088266852103314721497586573479251968947152763727973695198730185349052703436952810665167580189710416799484414835945862222700623412079892715480731394676453241344064079860984924200844351008819454585338743040559248531433237987072929203548289356841383049398149453925998264556689177186982660229559397777386854219875536581077200502242439213387888862714298955313186642489996423947980772993910129268646557734042147289110448240913036896371555270953501945232804279250984627113596671043235589097956747923772281312902833641943141325254424173815947085247644960322544569131295711030863496756685375635670767145086546138735866230300771463167512798691076883250197829104017185245983693305167204571667269253811845239750059721301874910983265966961159334763115523944038190176007278612837576354491155007155185472014347015797149093593916422169541892087054345214678454824630811916646268646366045983113627136400946149249052770089498829314700027095694535242201777644865062812703667698441470425351299631454709957280311163330512560302892714712133628738091352705116176576035717239467112841276063273475171485187864409115139581998580911321502809567123124754963902658509706447010251722112078212037637617756687845772044155300902023281960239119616096900983158782706705842533073036523085819364984807273836556242286019881700216808255596445347258106243975754288341683333883519487848544139465001004215072442895496822026493876262131495704524279093210832419915018093318440317540385936585842373787227535557184810900449272897648324065493106587235265718277254967808949092602923065875666372285159466211227382049459775509485953891809377294932069243896177648649933228601077985129711095663508620146359298769195752489574386192223676486}
15918 15584399244776930409716181325975594832435771738270284227332695573: {79565,95478,174977,270317,445396,460781,492497,587597,636280,650957,715815,763536,826852,858978,921446,935681,1399288,1574199,1597517,1723181,2005457,2068097,2337447,2349796,2380817,2474477,2782675,2817281,2848397,2923576,3003857,3289023,3339210,3383126,3561824,3571478,3747281,3932417,3938488,3975250,4007052,4024877,4209581,4240337,4332557,4430799,4698566,4770300,4853777,4945517,5088320,5250797,5260166,5433581,5481015,5585681,5633846,5707217,5724360,5846416,6105984,6136996,6339711,6439905,6524237,6577218,6724216,6869232,6908235,7065677,7215617,7308278,7368784,7395281,7547275,7564743,7574657,7727886,8019796,8055723,8289882,8318957,8418086,8556077,8733581,8912607,8999297,9056730,9176081,9453955,9470081,9646097,9660512,9792557,9880337,10055681,10318157,10335927,10521857,10564855,10667117,10804886,10868076,10928081,11265976,11344746,11360635,11390692,11476877,11649581,11908097,12051437,12053679,12080006,12251777,12304675,12480257,12674223,12677826,12907277,12986486,13026616,13233871,13332497,13424515,13457983,13505650,13632762,13709078,13768827,13780216,13889366,14457617,14513537,14654943,14765610,15092650,15209837,15348497,15459281,15502743,15505478,15597581,15625217,15749984,15902887,16109418,16115155,16121297,16176257,16206780,16258637,16957012,16996817,17109926,17194791,17268737,17287232,17404397,17485697,17539576,17675117,17718732,17897887,17996246,18111180,18321581,18723281,18856781,18878966,18883457,18905530,18963437,19039288,19165396,19225690,19318592,19338186,19362257,19448136,19532452,19613035,19732023,19758086,19812077,19891217,19933478,20075597,20242586,20312081,20536696,20631892,20704781,20808278,20835281,21251537,21381197,21419199,21458897,21614081,21733416,21768977,21782776,21879153,22026497,22257581,22529656,22539137,22547078,22686636,22718410,22778488,22870637,23021650,23070828,23103783,23187172,23233903,23377997,23535642,23736115,23756417,23781581,23950635,24133037,24433037,24443126,24450093,24505623,24567907,24682157,24905681,25299206,25345863,25363815,25547344,25547777,25568410,25625799,25641355,25793297,25981478,25989137,26088055,26090212,26160077,26233217,26500781,26595543,26718977,26775915,26912578,27007900,27054736,27249617,27262092,27625980,27680897,27800237,27966977,28038317,28118167,28299281,28351286,28483338,28560976,28615252,28731256,28740762,28865297,28888781,28917980,29146577,29190806,29225656,29356781,29449997,29467712,29522779,29728877,30051796,30213688,30260177,30360086,30421037,30436578,30604397,30627281,30682092,30769626,30969581,31190966,31305666,31447288,31783757,31896017,32119171,32131098,32197972,32231597,32322663,32409480,32413515,32677478,32878863,32897357,32925496,33151176,33183617,33191290,33267172,33293357,33446631,33663736,33773837,33909688,33990399,34099217,34256684,34315478,34401281,34530257,34570112,34574416,34701576,34723181,34851437,35097010,35129078,35225835,35255681,35378199,35384056,35446157,35572781,35678081,35777366,36013697,36118157,36388817,36460665,36501223,36526300,36610936,36637457,36699437,36812452,36906326,36926081,37041183,37165396,37268650,37295073,37388006,37506535,37548278,37574224,37708406,37843181,37871703,37923917,38145281,38148399,38446540,38596987,38744081,38763917,38815288,38862977,38891376,38896218,38942081,39039273,39277012,39628781,39776966,39807063,39823181,39829548,39920081,39935078,40093997,40168810,40480076,40837515,40897037,40972781,41028772,41187303,41255681,41258488,41311400,41351606,41368337,41576458,41630081,41704577,41908781,42116412,42237735,42264235,42271002,42295937,42479057,42624977,43067078,43113677,43167617,43560016,43614317,43667199,43703057,43752798,43809281,43826957,43831560,43938616,44091137,44163796,44492717,44665997,44722380,45007842,45010157,45053584,45129857,45722477,45789581,45884530,45965815,46135848,46141478,46222637,46415799,46437137,46475325,46682957,46715597,46753664,46926977,46959377,47120897,47249537,47506166,47703872,47837837,48073217,48202572,48291281,48384257,48538577,48559526,48676781,48750663,48753281,48938120,49005018,49223117,49269955,49310505,49343117,49358081,49430943,49432781,49522157,49573680,49670477,49679572,49759288,49876555,49935437,49961626,50066863,50241281,50615057,50685282,50717082,50828237,51011537,51039617,51249197,51388132,51429377,51512081,51717581,51840017,51902829,51932536,52042637,52323281,52442477,52587281,52597872,52671399,52861037,52878592,53089492,53105681,53284097,53360081,53372717,53400615,53430326,53561297,53666856,53671555,53748077,53809937,54176897,54341176,54405581,54443366,54643181,54889217,54902666,54935681,55055385,55061436,55062797,55097297,55158978,55280081,55438337,55617281,55672781,55735478,55770390,55779207,55783181,55881857,55903697,55979199,56066477,56163281,56180535,56537335,56544017,56590406,56730497,56883917,56894081,56954897,56960656,56969815,56983288,57005357,57392081,57431057,57690797,57722246,57814996,57828680,58000337,58018817,58055681,58408397,58424103,58426157,58461581,58593281,58714577,58725744,58800257,58851281,58884639,58893581,58902017,58927277,59019281,59027597,59123946,59140844,59154772,59172606,59263478,59394940,59456897,59488416,59550977,59689937,59766017,59778327,59811281,59848781,59851866,59893517,59925904,60004097,60076817,60241037,60248081,60265555,60325037,60352781,60375213,60448877,60489581,60511526,60550097,60590081,60649517,60811217,60849281,60905837,60980237,60998657,61071617,61133823,61161197,61199846,61277837,61351937,61413581,61435757,61446797,61496081,61517777,61528696,61597997,61660877,61707281,61727415,61737857,61783181,61808081,61852397,61884566,61910477,61957997,61981457,62064257,62157581,62238977,62247377,62259917,62321537,62325581,62361617,62381357,62532077,62553581,62565686,62571281,62734157,62749697,62786177,62798081,62812781,62824397,62923181,62938637,63051917,63087617,63093677,63111435,63122897,63124781,63134081,63146452,63160781,63170957,63177581,63208781,63221777,63231437,63249581,63268397,63271697,63278081,63291857,63304877,63325517,63328781,63339281,63342317,63342977,63513206,64080738,64106199,64149688,64405866,64467796,64721078,64797412,65057265,65254166,65317978,65542125,65665450,65839503,65842576,65876235,65917286,66066462,66112996,66181526,66829826,66924468,67318864,67416642,67844802,68144966,68186679,68363778,68504744,68750935,68792246,69131896,69219783,69394416,69763538,69911600,70267984,70385650,70458326,70681252,71000743,71092646,71164675,71223951,71273928,71282607,71345366,71524090,71573516,71757051,71974646,72168399,72299092,72318666,72475478,72673336,73222406,73379896,74045671,74072898,75026296,75067046,75148892,75400311,75674726,75733722,76639526,76673650,76706455,76759478,77067837,77109412,77449125,77476166,77773383,77951078,78068718,78209047,78309688,78432380,78543736,78650550,78798540,79051482,79290687,79713016,80183169,80280292,81370347,81385450,81439478,81748905,81757503,82460726,82501122,82552383,82612400,82823671,83742135,83893920,84047332,84051776,84136886,84404583,84462780,84486920,84550444,84908006,85332715,85345478,85397610,85604692,85828908,86093650,86171487,86540755,86726607,87198832,87390136,87434767,87604406,88098399,88361703,88553078,89202615,89324944,89486848,89677143,89702776,89762275,89763879,89808279,89926996,90005606,90093632,90538143,90721286,91087288,91090784,91530566,91747425,91934623,91994455,92008380,92031686,92047746,92131478,92675812,92912204,92938950,93619576,94118856,94193846,94380660,94393675,94483286,94558248,94797652,95047785,95149456,95153606,95263315,95438726,95471180,95533478,95628086,96098966,96121399,96304612,97046223,97306406,97320125,97398278,97490006,97662540,97863920,97975288,98084631,98098686,98142272,98181715,98246876,98313903,98529655,98555727,98669366,98700772,99117688,99134880,99294326,99637915,99648278,...,403067278043202720372587028585880456518516834599905717491626373549816483447300069892184833754518549777878902479919758288986214575690047821615865944440763638540538711198359270713496376058951740334920801895729894833224293548134799549814263174693664605854838051688569201693146955346047352410696579020883871607364837798431351268992884173639612868394498799458028005600826246607870419337951789729353271902603734910531592766873129922236127476215870155640533256164166194139852410085086633645916560193628956311615696551960927785023624323177065404209210611213314011194626636152770167293864047922195547556462122907491809070274986247241408052190437621913043352657054625236964932323963319229526190389989069511817186894860279224351160892375836663232813269946190785398105298956827843981027221475716943896650712426902581428982761618066259667657966930698999081092632400278154972082246379860218877953420729145591960542798095278023579055155429215997751370284565625199226622253918793334050935118119839073221097092014679862016096119791477386301266526513229181878008114560838872797149856980609393805322434035262074574097224180888997396835033765780473990344339096666080281329813304871615800753363658820081833294071448432969779963734994635921971159490865193902969836601063220933665672361369555344557332906430252917849206418876476940670395006564853383646935121885658421969354250462914711987881636260723920627871467440483816853696943566546295245135028063453506150717629819208103799345451157194751269198036615324875296743656025777868975539957750806857500903880717767859625089581952812366474898950441739002144673285916057285264010917919256364531736732510732778208021520523695723640390874633254312838130581517822017682236946217874969402969549068974670440704601419223873579155134248243972050040643541802863302666467297594219055501547662205638026949447182064935920466744995768840454339072068200443107137029057674264864053575859200669261914094910212757227781796613672709372997871366982254214350684687132445853987764559670515377583168117318056456426635031768658066232951353034922940358679424145351474738174060058763799609554784628729047477210910754834363429029822550325212383394668020887159365963631432512525000825279231772816209197501506322608664343245233039740814393197243556786418639816248629872527139977660476310578904878763560680841303335777216350673909346472486098239659880852898577415882451713423638904384598813499558427739199316841073074189663264228930837714065942398103865844266472974899842901616977694566643495262930219538948153793628734361579288335514729}
15919 15652753970416577417735463901650539317557843164035775874345155781: {15919,127304,143217,556745,668094,795350,954420,1018048,1033565,1145304,1224377,1240278,1288467,1382169,1749110,2098932,2558129,2937245,3116596,3320801,3446177,3511469,3524694,3654470,3924089,4385364,4452280,4923110,5008815,5074689,5115614,5342736,5357217,5414057,5733041,5883689,5907732,5942486,5962875,5985629,6010578,6360400,6447686,6640766,6938249,7022054,7047849,7155450,7308020,7632480,7671245,7890249,8141312,8405270,8450769,8452948,8586540,8769624,9158976,9205494,9210980,9496838,9689849,9857729,9865827,10024745,10086324,10129526,10259126,10303848,10740964,10962417,11053176,11398289,11591829,11592929,11883476,12029694,12057689,12075640,12354161,12415814,12434823,12627129,13496009,13585095,13781236,14082470,14238365,14257241,14490768,15126328,15347129,16071572,16207329,16283270,16302114,16398206,16659377,16898964,16903768,17017119,17073017,17086038,17225270,17969609,18120009,18177016,18300269,18358436,19016739,19059929,19479729,19539924,19687480,19713449,19931177,19935149,20258475,20449143,20563617,20670324,20834049,21160217,21196265,21250289,21479224,21609040,21924470,22107446,22148415,22353926,22384349,22638975,22926388,23258217,23624976,23672894,23799110,23956745,24148240,24164127,24310170,24415565,24943409,24990854,25139849,25435518,25572449,25664889,25670870,25784248,25789865,25930848,26309364,26436977,26566817,26578098,26674838,26994369,27166770,27228470,27516377,28162070,28318449,28358295,28473110,28490969,28558932,28739489,28748094,28809809,28838535,28892798,28977888,28983965,29007279,29124929,29172204,29298678,29455769,29637129,29670977,29900217,30248848,30252614,30363879,30744089,30761104,30805044,30914729,30947838,30961049,30969686,31212417,31312457,31380856,31934180,32034569,32143709,32600124,32612765,32674164,32703161,32877446,33484589,33736406,33759875,33794484,33818420,33820617,33894689,33963377,34029954,34077615,34167732,34169369,34532475,34541609,34606242,34780758,34813217,35303463,35383517,35460724,35701220,35769065,35809598,35914070,36060617,36101177,36147475,36349456,36532070,36596729,36664689,36834640,37564745,37767110,37881206,37948809,37977784,38060249,38115014,38321016,38352615,38446289,38716241,38972217,39135318,39309110,39421886,39495401,39558317,39578009,40127729,40247465,40368867,40511850,40582104,40893138,40909456,41026168,41156870,41438970,41498678,41533217,41583965,41624801,41740888,42079670,42387110,42526929,42700109,42725007,42820855,42841464,42922878,43096884,43111143,43212640,43218020,43376970,43539377,43612769,43786209,43838484,43947254,44201568,44230070,44595508,44635574,45077694,45183881,45320532,45440969,45465017,45540129,45545729,45654867,45657875,45763670,46015565,46023138,46154439,46192169,46268729,46268768,46393958,46456745,46786449,46958499,46967780,47155769,47170932,47483537,47548529,48058175,48196647,48215486,48296958,48519110,48614220,48677369,48737489,49016217,49096265,49388244,49429097,49605617,49726764,49786935,49840574,49860377,49900758,49920809,50495604,50600095,50864532,51285965,51385026,51473217,51573110,51639250,51677918,51694649,51855168,51861624,52052364,52118294,52283309,52435166,52645515,52684577,52693617,53076084,53106064,53466038,53483417,53662409,53666049,53722838,53837609,54397046,54450020,54789450,54916404,54923270,55204745,55218678,55321094,55359489,55748094,55902975,56082009,56130977,56155216,56162054,56280029,56316980,56322417,56361336,56562609,56833529,57612254,57669810,57825086,58222932,58337064,58344327,58442080,58521446,58780637,58904006,58915518,58983017,59439089,59629840,59665449,59731001,59744322,59879798,59902617,59941651,60010456,60253215,60416849,60490409,60628886,60653654,60720114,61172650,61484486,61514464,61543158,61887732,61932926,61967100,62027409,62051057,62099465,62199110,62364687,62739017,63174618,63406503,63589169,63612509,64163117,64206206,64207409,64235165,64270096,64537817,64600617,64915670,65000884,65134406,65340024,65629197,65648009,65747340,65907924,66098240,66100169,66245694,66361865,67083570,67511763,67580376,67622776,67736537,67862441,67926470,67994609,68107814,68184521,68207789,68330054,68373497,68520977,68725769,68766758,68826795,68921081,69203772,69212217,69357809,69748889,69858617,69906014,70130496,70186649,70228532,70486214,70758038,71116601,71200820,71229110,71259249,71555808,71632349,72268745,72285850,72303858,72436838,72698441,72839289,73407180,73415248,73507527,73545304,73664897,73899929,73926055,73943465,74243675,74341529,74360520,74372276,74486486,74519358,74630081,74638932,74817758,74907380,74942439,75143009,76027923,76075623,76298978,76384769,76466369,76501529,76522646,76562777,76910870,76940798,77082198,77672177,77703614,77898804,78159326,78300926,78300992,78488126,78489929,78512852,78800294,78831928,78896808,78933065,79317888,79634238,79701377,79704436,79802488,80145489,80187110,80473721,80500284,80584745,80855366,80996765,81322238,81511764,81665049,81917129,82051766,82303220,82353999,82377086,82397549,82518089,82592154,82641245,82738467,83060486,83255774,83389841,83486489,83603217,83655585,84054317,84148580,84885609,85440984,85474932,85630930,85728377,85874488,86005289,86414870,86583369,86722494,86727977,86736029,86743020,86854646,86884169,87097517,87167846,87214454,87389500,87526649,87786004,87834980,87889097,88088616,88270169,88351565,88479446,88523729,88685919,88711266,88732158,88758909,88840166,88895217,89092410,89170838,89232624,89331974,89466895,89696561,89777799,89888856,90373865,90459736,90510398,90513689,90648806,90767289,90841670,90915572,90928289,91151704,91724870,91799769,92110814,92293044,92427137,92480246,92506214,92525888,92602111,92696177,92718449,92826849,92951417,93257837,93730169,93782870,93848529,93856409,93936115,94060049,94596758,94719678,94934918,94965268,95031904,95043476,95243126,95269809,95676068,95926334,95939801,96063929,96121107,96224532,96386765,96424888,96493118,96608799,96701694,97025174,97081617,97187846,97196118,97305857,97365857,97434449,97881249,97887110,97913441,97976967,98040475,98179670,98364401,98498175,98763864,98875929,99099693,99169494,99272289,99508649,99527294,99641270,99828926,...,537423037390936960496782704781173942024689112799874289988835164733088644596400093189579778339358066370505203306559677718648286100920063762154487925921018184720718281597812360951328501411935653779894402527639859777632391397513066066419017566258219474473117402251425602257529273794729803214262105361178495476486450397908468358657178898186150491192665065944037340801101662143827225783935719639137695870138313214042123689164173229648169968287826874187377674885554925519803213446782178194555413591505275082154262069281237046698165764236087205612280814951085348259502181537026889725152063896260730075282830543322412093699981662988544069587250162550724470209406166982619909765284425639368253853318759349089582526480372299134881189834448884310417693261587713864140398609103791974702961967622591862200949902536775238643682157421679556877289240931998774790176533704206629442995173146958503937894305527455947390397460370698105406873905621330335160379420833598968829671891724445401246824159785430961462789352906482688128159721969848401688702017638909170677486081118497062866475974145858407096578713682766098796298907851996529113378354373965320459118795554773708439751073162154401004484878426775777725428597910626373284979992847895961545987820258537293115468084294578220896481826073792743110541907003890465608558501969254227193342086471178195913495847544562625805667283886282650508848347631894170495289920645089138262591422061726993513370751271341534290173092277471732460601542926335025597382153766500395658208034370491967386610334409143334538507623690479500119442603749821966531933922318669526231047888076380352014557225675152708982310014310370944028694031594298187187832844339083784174108690429356909649261623833292537292732091966227254272801892298498105540178997658629400054191389070484403555289730125625407335396882940850702599262909419914560622326661025120605785429424267257476182705410232353152071434478934225682552126546950342970375728818230279163997161822643005619134246249509927805317019412894020503444224156424075275235513375691544088310601804046563920478239232193801966317565413411685066146073046171638729969614547673112484572039763400433616511192890694516212487951508576683366667767038975697088278930002008430144885790993644052987752524262991409048558186421664839830036186636880635080771873171684747574455071114369621800898545795296648130986213174470531436554509935617898185205846131751332744570318932422454764098919551018971907783618754589864138487792355297299866457202155970259422191327017240292718597538391504979148772384447352972}
15920 15721406163564881599259744436676702939157652991068561755445129252: {111391,159130,190956,206791,302119,349954,492559,540634,682711,890792,921562,967399,984994,1002141,1175194,1193025,1272560,1301914,1431630,1527072,1534831,1629151,1653704,1717956,1842892,1860417,1871362,2623665,2798576,2848759,3035311,3148398,3195034,3446362,3778639,3895745,4010914,4136194,4240879,4333111,4674894,4699592,4761634,4884991,4948954,5251471,5287041,5481705,5565350,5634562,5696794,5847152,5890039,6007714,6343999,6578046,6678420,6766252,7123648,7142956,7384665,7494562,7673421,7864834,7876976,7950500,8014104,8049754,8409031,8419162,8480674,8665114,8764279,8861598,8913729,9015867,9135025,9206719,9294991,9383191,9397132,9540600,9647359,9671529,9707554,9823111,9891034,9961149,10086199,10176640,10501594,10520332,10533081,10566185,10733175,10867162,10962030,11045311,11132071,11171362,11267692,11414434,11448720,11513725,11692832,12211968,12273992,12510439,12607905,12679422,12879810,12937399,13048474,13154436,13235537,13426205,13448432,13616791,13738464,13808241,13816470,14039071,14131354,14245257,14431234,14616556,14737568,14790562,14790797,14794639,14854345,14878231,15094550,15129486,15149314,15194289,15378271,15388689,15455772,15627319,15875719,15904889,16039592,16111446,16205911,16579764,16617031,16637914,16836172,17026351,17112154,17226545,17467162,17825214,17998594,18044541,18113460,18162871,18352162,18623721,18794321,18886039,18907910,18940162,19292194,19321024,19364911,19585114,19760674,20089465,20111362,20636314,20671854,21043714,21098599,21123705,21129710,21145597,21254479,21334234,21410071,21487759,21609772,21736152,21856162,22029559,22531952,22561217,22644439,22689492,22721270,22781384,22873831,22948045,22953754,23254711,23299162,23784919,23816194,24102874,24107358,24160012,24161479,24424905,24453171,24461431,24503554,24597309,24609350,24760231,24960514,25132111,25348446,25355652,25629057,25814554,25837905,25972972,26053232,26467742,26664994,26849030,26915966,27011300,27265524,27418156,27458249,27537654,27560432,27684871,27778732,27828079,28042351,28657985,28892959,28915234,29027074,29174191,29309886,29384359,29531220,29733199,30185300,30419674,30631759,30696994,30768919,30918562,31005486,31010956,31178671,31195162,31246711,31250434,31499968,31805774,32218836,32230310,32242594,32258671,32352514,32413560,32517274,32667217,32886705,33161169,33230561,33530889,33582751,33778879,33914024,33974359,33993634,34219852,34389582,34537474,34556911,34574464,34808794,34890557,34971394,35079152,35350234,35388079,35437464,35509341,35698665,35795774,35897897,35992492,36207079,36222360,36465255,36523277,36643162,37320991,37446562,37486281,37626271,37713562,37757932,37766914,37811060,37926874,37929751,38078576,38153277,38291551,38330792,38451380,38506305,38637184,38676372,38724514,38769919,38896272,39064904,39226070,39420151,39464046,39516172,39537439,39624154,39782434,39866956,39867147,39917725,39945679,40012257,40151194,40350391,40485172,40522759,40624162,40750155,40842705,40865551,41073392,41263784,41409562,41616556,41655319,41670562,41711191,41822719,41933959,42044911,42243105,42273025,42321031,42503074,42709665,42762394,42838398,42867871,42917794,43122141,43137809,43138591,43192519,43228162,43339197,43461079,43466832,43537954,43565552,43567999,43727839,43758306,43834039,43887031,43948017,44052994,44325905,44515162,44621359,44626525,44725111,45059312,45078274,45094156,45290599,45373272,45378921,45436820,45556976,45614621,45741274,46043300,46141656,46207566,46246831,46374344,46421757,46444831,46454529,46467806,46690711,46755994,47071284,47417551,47472230,47512834,47563162,47901270,48128191,48266074,48407911,48454279,48866074,48886252,48900186,49011246,49050511,49135814,49231519,49316169,49364314,49366519,49456159,49545511,49811362,50162911,50598412,50604609,50691726,50727630,50851231,51044931,51094688,51095554,51136820,51251598,51272071,51282710,51586594,51849151,51909363,51962956,51978274,52011439,52092151,52171137,52176110,52180424,52212679,52320154,52466434,52491391,52509149,52883431,53001562,53115199,53191086,53306359,53382319,53437954,53551830,53714397,53757799,53825156,53871105,54015800,54022525,54109472,54198871,54499234,54524184,54664999,54798105,54945799,55251960,55361794,55560751,55600474,55727431,55744385,55793599,55925071,55933954,56076634,56184559,56236334,56407831,56598562,56650665,56702572,56821809,56843791,56904919,56966676,57026311,57121952,57172521,57230504,57412879,57462512,57481524,57615991,57730594,57777562,57835960,58011631,58039351,58293154,58381612,58446511,58451312,58604839,58702977,58709725,58713562,58786279,58811911,58899994,58913719,58935424,58963665,59039359,59045558,59132829,59169929,59333551,59457754,59663671,59868439,60023671,60089119,60103592,60260479,60427376,60508879,60520354,60529111,60609319,60720172,60767775,60842074,60843031,60873156,61174159,61208794,61254562,61313839,61339707,61364184,61432279,61448911,61539252,61611271,61720639,61735305,61856071,61928791,61939162,61999711,62082439,62158455,62175679,62248017,62252791,62339479,62381932,62422639,62434231,62491111,62546191,62611332,62719999,62794591,62803591,62847511,62894576,62922031,62953279,63040111,63110599,63119505,63128311,63139759,63225439,63234151,63287071,63293479,63313639,63318751,63321199,63352951,63360511,63567514,63580665,63792034,64238342,64262196,64352141,64384317,64395944,64463194,64645326,64818960,64827030,65065455,65354956,65757726,65794714,65850992,65920881,66302352,66345105,66367234,66382580,66534344,66586714,66893262,66953361,67327472,67547674,67616541,67819376,67980798,68062525,68198434,68513368,68630956,68645505,68802562,68977937,69034707,69060514,69140224,69148832,69403152,69446362,69590937,69702874,69827177,70194020,70258156,70396225,70451670,70511362,70756398,70768112,70892314,71145562,71356162,71554732,72027394,72236314,72323229,72445437,72777634,72778665,72921330,73002446,73052600,73221872,73274914,73398874,73624904,73812652,73852162,74082366,74330792,74537300,74590146,74760861,74776012,74851137,75013070,75096556,75140177,75148448,75416812,75686362,75743406,75847834,76290562,76296798,76893080,77077539,77193974,77359665,77458875,77488162,77516877,77527834,77630576,77725954,77782752,77792436,77884162,78078546,78177441,78554024,78652749,79152269,79257562,79553932,79614126,79646362,79659096,79757741,79840162,79870156,80187994,80199057,80337620,80584257,80960152,81251105,81595569,81675030,81794074,81945562,82057544,82184175,82374606,82384905,82511362,82516976,82622800,82703212,82736674,82828017,82981641,83152916,83260162,83409154,83622141,83817562,83909969,84232824,84243081,84371777,84475470,84528470,84542004,84591874,84958114,85249954,86134156,86227354,86335234,86418381,86504715,86737629,87120032,87228634,87334398,87406114,87505596,87618562,87653914,87663120,87782169,87785665,87877232,88182274,88327592,88356009,88373277,88985434,89001025,89331994,89444760,89616483,89819697,90015684,90020314,90107168,90259714,90943329,90980481,91080171,91444954,91579162,91758975,91769060,91931630,92226729,92271696,92282956,92314737,92445274,92831598,92874274,92899389,92950650,92965345,93298665,93365914,93431194,93507328,93634225,93853954,93918754,94241794,94499074,94761927,95012332,95407744,95675674,96146434,96251309,96309309,96405144,96582562,96768514,97077154,97119052,97353562,97373505,97501326,97506562,97701609,97876240,98010036,98141065,98446234,98539910,98621010,98686234,98716162,98861886,98865562,99044314,99147360,99340954,99359144,99368541,99518576,99630545,99753110,99870874,99923252,...,806134556086405440745174057171760913037033669199811434983252747099632966894600139784369667509037099555757804959839516577972429151380095643231731888881527277081077422396718541426992752117903480669841603791459789666448587096269599099628526349387329211709676103377138403386293910692094704821393158041767743214729675596862702537985768347279225736788997598916056011201652493215740838675903579458706543805207469821063185533746259844472254952431740311281066512328332388279704820170173267291833120387257912623231393103921855570047248646354130808418421222426628022389253272305540334587728095844391095112924245814983618140549972494482816104380875243826086705314109250473929864647926638459052380779978139023634373789720558448702321784751673326465626539892381570796210597913655687962054442951433887793301424853805162857965523236132519335315933861397998162185264800556309944164492759720437755906841458291183921085596190556047158110310858431995502740569131250398453244507837586668101870236239678146442194184029359724032192239582954772602533053026458363756016229121677745594299713961218787610644868070524149148194448361777994793670067531560947980688678193332160562659626609743231601506727317640163666588142896865939559927469989271843942318981730387805939673202126441867331344722739110689114665812860505835698412837752953881340790013129706767293870243771316843938708500925829423975763272521447841255742934880967633707393887133092590490270056126907012301435259638416207598690902314389502538396073230649750593487312051555737951079915501613715001807761435535719250179163905624732949797900883478004289346571832114570528021835838512729063473465021465556416043041047391447280781749266508625676261163035644035364473892435749938805939098137949340881409202838447747158310268496487944100081287083605726605332934595188438111003095324411276053898894364129871840933489991537680908678144136400886214274058115348529728107151718401338523828189820425514455563593227345418745995742733964508428701369374264891707975529119341030755166336234636112912853270063537316132465902706069845880717358848290702949476348120117527599219109569257458094954421821509668726858059645100650424766789336041774318731927262865025050001650558463545632418395003012645217328686490466079481628786394487113572837279632497259745054279955320952621157809757527121361682606671554432701347818692944972196479319761705797154831764903426847277808769197626999116855478398633682146148379326528457861675428131884796207731688532945949799685803233955389133286990525860439077896307587257468723158576671029458}
15921 15790357108619029440542378740981593976671574474878015367114993005: {31838,238695,254608,286434,524931,779443,810951,1113490,1336188,1382343,1446991,1477491,1590700,1762791,1908840,1952871,2036096,2067130,2147445,2290608,2303615,2448754,2480556,2576934,2764338,2807043,3498220,3924583,4019411,4112143,4197864,4591343,4722597,4792551,5066039,5116258,5169543,5874490,6016371,6204291,6209471,6233192,6398431,6641602,6892354,7012341,7022938,7049388,7142451,7308940,7423431,7848178,8348025,8451843,8457815,8545191,8770728,8904560,8928695,9011571,9846220,9867069,9938125,10017630,10149378,10231228,10685472,10714434,10739743,10828114,11241843,11466082,11746415,11767378,11797251,11815464,11884972,11925750,11971258,12021156,12074631,12628743,12720800,12721011,12895372,12956803,12997671,13150415,13281532,13292397,13876498,14034643,14044108,14084615,14095698,14310900,14561331,14616040,14836551,15240499,15264960,15342490,15752391,15780498,16282624,16300743,16443045,16757043,16810540,16901538,16905896,17121651,17173080,17539248,17563799,18270695,18317952,18410988,18421960,18600131,18993676,19019133,19319715,19379698,19572711,19635671,19715458,19731654,19933711,20049490,20172648,20259052,20518252,20607696,20724705,21045215,21197031,21481928,21646851,21924834,22106352,22185843,22641825,22694229,22723971,22796578,23183658,23185858,23750323,23766952,23769911,24059388,24115378,24151280,24167169,24708322,24831628,24869646,24956871,25254258,25668231,25832279,26200743,26737821,26992018,26997891,27012215,27133751,27170190,27528243,27562472,28164940,28361865,28410243,28476730,28514482,28734743,28938291,28981536,29377671,29641011,29674771,29947511,30167043,30200015,30252656,30334511,30694258,30954471,30974339,31007781,31565571,31694565,32001351,32143144,32361023,32414658,32466215,32566540,32604228,32784243,32796412,32864371,33318754,33539443,33764125,33797928,33807536,34034238,34081905,34146034,34172076,34181791,34272695,34430631,34450540,34723415,34948743,35126471,35712511,35724291,35793871,35939218,36105811,36154311,36161037,36240018,36354032,36600538,36696431,36716872,36721343,36755331,36914025,37005631,37440771,37731625,38022669,38033478,38052263,38119858,38721831,38763695,38861651,38959458,39079848,39160451,39210343,39374960,39426898,39701613,39862354,39870298,39997491,40273545,40373949,40516950,40577551,40787543,40898286,41127234,41199059,41306481,41340648,41487991,41668098,42320434,42392530,42500578,42774815,42958448,43218080,43372851,43540611,43848940,43964829,44214892,44296830,44677343,44707852,44768698,44990615,45266771,45277950,45629511,45657871,45852776,46019999,46045491,46251839,46264871,46281719,46377843,46508229,46516434,46676383,46792743,46875651,47197415,47249952,47263825,47345788,47505971,47598220,47708661,47913490,48064225,48296480,48309239,48328254,48345465,48363891,48528771,48620340,48743683,48775911,48831130,49084711,49395215,49434743,49662911,49833695,49886818,49981708,50076691,50279698,50407891,50606465,50871036,50990451,51144898,51329778,51341740,51568496,51579730,51584373,51806211,51861696,52020695,52213191,52457091,52590643,52618728,52734611,52873954,53025351,53133634,53156196,53349676,53693661,53757191,53971823,53988738,54333540,54456940,54964743,55010243,55032754,56169843,56324140,56346451,56367695,56570343,56636898,56650371,56659543,56716590,56796025,56890311,56946220,56981938,57117864,57478978,57496188,57554125,57619618,57621359,57677070,57785596,57955776,57967930,58014558,58086771,58217551,58249858,58344408,58597356,58839105,58911538,59196069,59274258,59341954,59436231,59444111,59673651,59800434,59876039,59949197,60226791,60422771,60497696,60505228,60727758,60936243,61107815,61410899,61488178,61522208,61600691,61610088,61829458,61895676,61922098,61939372,62072831,62114343,62263591,62424834,62505843,62624914,62761712,63248015,63754611,63868360,63921025,64069138,64143591,64257597,64287418,64376691,64421791,64842243,64953695,65039443,65200248,65225530,65306931,65348328,65406322,65415251,65637459,65754892,66079491,66148499,66431923,66772743,66969178,67281445,67472812,67519750,67588968,67617411,67636840,67641234,67789378,67926754,68059908,68155230,68335464,68338738,68361743,68611911,68734771,69064950,69083218,69196151,69212484,69311349,69561516,69626434,69701709,69930911,70133991,70299511,70591183,70606926,70767034,70840133,70867843,70878215,70921448,71208345,71269251,71344743,71402440,71538130,71619196,71711719,71800351,71828140,71851905,72121234,72202354,72294950,72399111,72698912,72977015,73048511,73064140,73193458,73299111,73329378,73350279,73516869,73669280,73674259,73703721,74046471,74146111,74717043,74874431,75129490,75370691,75534220,75762412,75897618,75900215,75955568,76037589,76091445,76120498,76230028,76361879,76572511,76642032,76643331,76705230,76877397,76892578,76924065,77286643,77379891,77432482,77944434,77967411,77977415,78264165,78270636,78480231,78618220,78699651,78843772,78990802,79116634,79156018,79292243,79330691,79468531,79502343,79786629,80052271,80156931,80255458,80327745,80494930,80737734,81023700,81164208,81693695,81748851,81786276,81818291,81818912,82052336,82313740,82824023,82877940,82978225,82997356,83042691,83066434,83167930,83249602,83400711,83481776,83706671,83900931,83983363,84114951,84159340,84354501,84400751,84587879,84774220,84897843,85053858,85400218,85450014,85641710,85682928,85788695,85845756,86193768,86222286,86230199,86425280,86436040,86595891,86666343,86753940,86939251,87078754,87225538,87439731,87572418,87676968,87742525,87822695,87894508,87900271,88070343,88349991,88403136,88460140,88568337,89186631,89191016,89271148,89380631,89443415,89929231,90155388,90330131,90367762,90641064,90780531,90881938,90930034,91080258,91091458,91263111,91309734,91315750,91358143,91527340,91794391,91813191,91881843,92031130,92046276,92265815,92308878,92384338,92453951,92537458,92537536,92787916,92906611,92908743,92913490,92914931,93171625,93321551,93470015,93572898,93870695,93916998,93919799,93935560,94072003,94271015,94311538,94341864,94967074,95097058,95351271,95688051,96100679,96116350,96357513,96393294,96430972,96593916,96694791,96696623,96967989,97038220,97228440,97240545,97354738,97474978,98032434,98192530,98636589,98692071,98776488,98858194,99211234,99442415,99453528,99550851,99573870,99593759,99681148,99720754,99801516,99837695,99841618,99880071,...,1209201834129608161117761085757641369555550503799717152474879120649449450341900209676554501263555649333636707439759274866958643727070143464847597833322290915621616133595077812140489128176855221004762405687189684499672880644404398649442789524080993817564514155065707605079440866038142057232089737062651614822094513395294053806978652520918838605183496398374084016802478739823611258013855369188059815707811204731594778300619389766708382428647610466921599768492498582419557230255259900937749680580886868934847089655882783355070872969531196212627631833639942033583879908458310501881592143766586642669386368722475427210824958741724224156571312865739130057971163875710894796971889957688578571169967208535451560684580837673053482677127509989698439809838572356194315896870483531943081664427150831689952137280707744286948284854198779002973900792096997243277897200834464916246739139580656633860262187436775881628394285834070737165466287647993254110853696875597679866761756380002152805354359517219663291276044039586048288359374432158903799579539687545634024343682516618391449570941828181415967302105786223722291672542666992190505101297341421971033017289998240843989439914614847402260090976460245499882214345298909339891204983907765913478472595581708909509803189662800997017084108666033671998719290758753547619256629430822011185019694560150940805365656975265908062751388744135963644908782171761883614402321451450561090830699638885735405084190360518452152889457624311398036353471584253807594109845974625890230968077333606926619873252420572502711642153303578875268745858437099424696851325217006434019857748171855792032753757769093595210197532198334624064561571087170921172623899762938514391744553466053046710838653624908208908647206924011322113804257671620737465402744731916150121930625408589907999401892782657166504642986616914080848341546194807761400234987306521363017216204601329321411087173022794592160727577602007785742284730638271683345389841018128118993614100946762643052054061397337561963293679011546132749504351954169369279905095305974198698854059104768821076038272436054424214522180176291398828664353886187142431632732264503090287089467650975637150184004062661478097890894297537575002475837695318448627592504518967825993029735699119222443179591730670359255919448745889617581419932981428931736714636290682042523910007331649052021728039417458294718979642558695732247647355140270916713153796440498675283217597950523219222568989792686792513142197827194311597532799418924699528704850933083699930485788790658616844461380886203084737865006544187}
15922 15859608095478509768414520111967264357612927211062236523367602428: {47757,222782,318260,381912,413582,429651,604238,651121,699908,985118,1081268,1365422,1670235,1781584,1786417,1843124,1934798,1969988,1988375,2004282,2068621,2350177,2350388,2386050,2545120,2603828,2724577,2863260,3004621,3054144,3069662,3100695,3258302,3307408,3435912,3673131,3685784,3720834,3742724,3748237,3865401,3933421,4146507,4372775,4395121,4579297,5247330,5454043,5495857,5597152,5697518,6070622,6296796,6390068,6892724,6947377,7127521,7397197,7557278,7674387,7791490,7845217,8021828,8023921,8272388,8481758,8647117,8666222,8811735,9090097,9136175,9349788,9399184,9523268,9769982,9897908,9962403,9970657,10058317,10338531,10502942,10534407,10574082,10963410,11130700,11269124,11393588,11537521,11694304,11710177,11772267,11780078,12015428,12307775,12397921,12654637,12687998,12789035,13156092,13356840,13532504,14247296,14265457,14285912,14517421,14685037,14769330,14792659,14856215,14989124,15026445,15224067,15346842,15352621,15729668,15753952,15901000,16028208,16071651,16099508,16119215,16180621,16242171,16427617,16601915,16818062,16838324,16961348,17001421,17164717,17199123,17330228,17409121,17528558,17555135,17651067,17723196,17827458,17888625,17956887,17976877,18031734,18270050,18413438,18589982,18766382,18781837,18794264,18796687,18861937,19021921,19081200,19294718,19343058,19415108,19646222,19782068,19817521,19922298,19975777,20172398,20353280,20762737,20796083,20814747,21003188,21013175,21040664,21066162,21132370,21143547,21148259,21466350,21620077,21734324,21775021,21924060,22090622,22264142,22315057,22342724,22535384,22828868,22897440,22927921,23013735,23027450,23156557,23385664,23670747,23742095,24117163,24423936,24547984,24990251,25020878,25215810,25323815,25352307,25358844,25647815,25759620,25874798,26096948,26289421,26308872,26471074,26508337,26799217,26852410,26896864,27233582,27476928,27616482,27632940,28078142,28125251,28262708,28307437,28490514,28591117,28803121,28862468,29069547,29233112,29475136,29505121,29573187,29581124,29581594,29589278,29597481,29708690,29756462,30074235,30189100,30258972,30298628,30338017,30388578,30681997,30756542,30777378,30911544,31024177,31039535,31254638,31432417,31751438,31809778,32079184,32127263,32222892,32411822,32441677,32708077,32887251,33105517,33159528,33234062,33275828,33672344,34052702,34194867,34224308,34453090,34540621,34733617,34775487,34778787,34934324,35206175,35308717,35625697,35650428,35997188,36089082,36173067,36226920,36325742,36510419,36704324,36751921,36937357,37062483,37247442,37304469,37550797,37588642,37772078,37815820,37880324,37881387,38157037,38397517,38457457,38584388,38606711,38642048,38729822,38756077,38875021,38993677,39170228,39521348,40121179,40178930,40222724,40488027,40708175,40755285,40796017,40995515,41193421,41272628,41343708,42087428,42197198,42247410,42259420,42291194,42508958,42668468,42715095,42771723,42820142,42975518,43019377,43063175,43219544,43472304,43712324,44059118,44185691,44298097,44870317,44973421,45063904,45122434,45288878,45378984,45382957,45442540,45562768,45737521,45747662,45888397,45896090,45907508,46041387,46088557,46237921,46485421,46509422,46598324,46731121,46975021,47569838,47600737,47632388,47790817,47838157,48205748,48214716,48320024,48322958,48400621,48621987,48723937,48769837,48849810,48906342,48922862,49007108,49194618,49218700,49520462,49539121,49893937,49921028,49978131,50264222,50472983,50503777,50696892,50711304,50981047,51051357,51057421,51219051,51258114,51557677,51629108,51675810,51945944,52106464,52368397,52408177,52605997,52935484,53073421,53329988,53698060,53831932,53908827,54022600,54123757,54269197,54360027,54449377,54531048,54811175,54836312,54839437,54900807,54916498,55075308,55120864,55268615,55369742,55557464,55656158,55693537,55884815,55924621,56084702,56344417,56471137,56782897,57050217,57179787,57315970,57472621,57760621,57785918,57830468,58041421,58054148,58124257,58315021,58348382,58439187,58449121,58619772,58633837,58768718,58891597,58967521,59062440,59140347,59182235,59457121,59466398,59497775,59793531,59805447,59873137,60028621,60180577,60286957,60370600,60615277,60775425,60839348,60906337,61091377,61216621,61263518,61347429,61389421,61393988,61473121,61522477,61537838,61690851,61789921,61834957,61837124,61937521,62010972,62021912,62056267,62171917,62275021,62357342,62373517,62390324,62397421,62477135,62493422,62500868,62502147,62641357,62841697,62876257,62999936,63002977,63164077,63215917,63280177,63304621,63310957,63360097,63363121,63365857,63371437,63480651,63588795,63611548,63750867,64177175,64437672,64460620,64485188,64517342,64705028,64827120,65034548,65334434,65773410,66322338,66445245,66461122,66687095,67061778,67153047,67165502,67557758,67828048,67916925,67948718,67987268,68071175,68439704,68779164,69074948,69113822,69148928,69617588,69774651,69781114,69942788,70158304,70405175,70700468,70776158,70874928,71018682,71182775,71397330,71591548,71795794,71870235,71984984,72231995,72414158,72444720,72492381,72930510,73046554,73246695,73286324,74641982,74830227,74893124,74972562,75252542,75419547,75427124,75515864,75533828,75622120,75631535,75853748,75859502,76157152,76306554,76583102,76661584,76717347,76902760,76994667,77012610,77274368,77352744,77369595,77424215,77449028,77539838,77792544,78042139,78129808,78452140,78676499,78840302,78928092,79032344,79074878,79248308,79310931,79564868,79700451,79733912,79734294,79835450,79891358,80024514,80302388,80700782,80970344,80983107,81045518,81248324,81500310,81685410,81731102,82146784,82193615,82527568,82549131,82819124,83233112,83310638,83341124,83422382,83645438,83867918,84089822,84341015,84486210,84546050,84642062,84955347,85006148,85074885,85419330,85472907,85524788,85676796,85735742,85835588,86218467,86244282,86275618,86277182,86385038,86429427,86456324,86515605,86678394,86922158,86933664,86951895,87021837,87075908,87131104,87135998,87374787,87455678,87516612,87668078,87774062,87896034,88105988,88367307,88651810,88911387,89012931,89030324,89242718,89253050,89450222,89523995,89700651,89785175,90118624,90156548,90188312,90581198,90746544,90757842,90873640,91091637,91113952,91229242,91330175,91482548,92086600,92232267,92283312,92415132,92493662,92744187,92748688,92843514,92883147,92889662,92909058,92935612,93381422,93511988,93637251,93937371,94142568,94417775,94703015,94835102,94944460,95025668,95126324,95287535,95802540,96103707,96256382,96431127,96532148,96815822,96908558,97732148,97772504,97800372,97838295,98022492,98101022,98109483,98271628,98272775,98463038,98554715,98632338,98728628,98733038,98912318,99091022,99166327,99622724,...,1612269112172810881490348114343521826074067338399622869966505494199265933789200279568739335018074199111515609919679033155944858302760191286463463777763054554162154844793437082853985504235806961339683207582919579332897174192539198199257052698774658423419352206754276806772587821384189409642786316083535486429459351193725405075971536694558451473577995197832112022403304986431481677351807158917413087610414939642126371067492519688944509904863480622562133024656664776559409640340346534583666240774515825246462786207843711140094497292708261616836842444853256044778506544611080669175456191688782190225848491629967236281099944988965632208761750487652173410628218500947859729295853276918104761559956278047268747579441116897404643569503346652931253079784763141592421195827311375924108885902867775586602849707610325715931046472265038670631867722795996324370529601112619888328985519440875511813682916582367842171192381112094316220621716863991005481138262500796906489015675173336203740472479356292884388368058719448064384479165909545205066106052916727512032458243355491188599427922437575221289736141048298296388896723555989587340135063121895961377356386664321125319253219486463203013454635280327333176285793731879119854939978543687884637963460775611879346404252883734662689445478221378229331625721011671396825675505907762681580026259413534587740487542633687877417001851658847951526545042895682511485869761935267414787774266185180980540112253814024602870519276832415197381804628779005076792146461299501186974624103111475902159831003227430003615522871071438500358327811249465899595801766956008578693143664229141056043671677025458126946930042931112832086082094782894561563498533017251352522326071288070728947784871499877611878196275898681762818405676895494316620536992975888200162574167211453210665869190376876222006190648822552107797788728259743681866979983075361817356288272801772428548116230697059456214303436802677047656379640851028911127186454690837491991485467929016857402738748529783415951058238682061510332672469272225825706540127074632264931805412139691761434717696581405898952696240235055198438219138514916189908843643019337453716119290201300849533578672083548637463854525730050100003301116927091264836790006025290434657372980932158963257572788974227145674559264994519490108559910641905242315619515054242723365213343108865402695637385889944392958639523411594309663529806853694555617538395253998233710956797267364292296758653056915723350856263769592415463377065891899599371606467910778266573981051720878155792615174514937446317153342058916}
15923 15929160419568500588023534581553265858627127801279819318016444118: {15923,63676,334173,397825,477390,509216,572868,620373,874885,906357,1049862,1351585,1477677,1558886,1621902,1924021,2048133,2226980,2303905,2462485,2672376,2764686,2893982,2902197,2937985,2954982,3006423,3181400,3225061,3254785,3525582,3579075,3817680,3905742,4019917,4072192,4134260,4294890,4581216,4591921,4604493,4607230,4678405,4750213,4887453,4897508,4961112,5131501,5153868,5415421,5528676,5581251,5614086,5987137,6939997,6996440,7827361,7849166,7870995,7987585,8038822,8224286,8395728,8398933,8546277,8615905,9105933,9182686,9245797,9445194,9585102,10027285,10132078,10232516,10339086,10340485,11335917,11687235,11748980,11840941,11904085,12032742,12372385,12408582,12418942,12466384,12500173,12671341,12722637,12796862,12999333,13283204,13784708,13913375,14024682,14045876,14086405,14098776,14241985,14284902,14617880,14654973,14846862,14955037,15019285,15490717,15696356,15754413,15861123,16444981,16445115,16696050,16903686,16915630,17090382,17541456,17670117,17809120,17857390,17911597,18023142,18410581,18736405,18947797,19031997,19662085,19692440,19718461,19734138,19876250,20035260,20124385,20298756,20462456,20757217,21047905,21201685,21370944,21428868,21479486,21656228,21662785,21981973,22153995,22326253,22483686,22932164,23020263,23205793,23492830,23534756,23594502,23630928,23769944,23851500,23931121,23942516,24042312,24116917,24149262,24268885,24727585,25227093,25257486,25441600,25442022,25578973,25790744,25913606,25995342,26069041,26179021,26253985,26292837,26300830,26563064,26584794,26741187,27047601,27167905,27405075,27620157,27671053,27752996,27884973,27928405,28069286,28088216,28091713,28149573,28169230,28191396,28237957,28536085,28621800,28942077,29014587,29122662,29232080,29271841,29463301,29469333,29673102,29883447,29951317,30194653,30258597,30325957,30480998,30529057,30529920,30684980,30978277,31320421,31504782,31560996,31599243,31698555,32115301,32199525,32565248,32579557,32601486,32621185,32886090,33135933,33396213,33514086,33621080,33803076,33811792,33903277,34243302,34346160,34541175,35078496,35127598,35256493,35328385,35392513,36078085,36541390,36606037,36635904,36821976,36843920,36976405,37200262,37257421,37423093,37531317,37736375,37817101,37823715,37873285,37987352,38038266,38275837,38639430,38759396,38812197,39145422,39258997,39271342,39415093,39430916,39463308,39505477,39588037,39706611,39867422,40098980,40185277,40278615,40345296,40518104,40676557,40850373,41030413,41036504,41041501,41215392,41424723,41449410,41543821,41594785,42034081,42090430,42117213,42280021,42394062,42735771,42780385,42963856,43240021,43293702,43600477,43667905,43849668,43860541,44212704,44371686,44372391,44383917,44429953,44436961,44563035,44634693,44683021,44996485,45272557,45283650,45388458,45447942,45452701,45582867,45593156,45880405,46072933,46134813,46166067,46270753,46280533,46287637,46367316,46371716,46625821,46881957,47167717,47269775,47316337,47350405,47500646,47533904,47539822,47627157,47714667,47857261,47981773,48118776,48230485,48230756,48264877,48302560,48334338,48531013,48612781,48617733,48653077,48689797,48962785,48987061,49401685,49416644,49441621,49663256,49739292,49782541,49851093,49913742,49933501,50278405,50340037,50387917,50508516,51079053,51110497,51185917,51336462,51590785,51664558,51679635,51707797,52019521,52401486,52609285,52824275,53335585,53371021,53475642,53497093,53984036,53995782,54024430,54133623,54220093,54267502,54269173,54340380,54488613,54640405,54696277,54696577,55056486,55124944,55871163,56116453,56329880,56379493,56382963,56658117,56723730,56730421,56803175,56820486,56874997,56953460,57028964,57092737,57384385,57469486,57876582,57963072,58069861,58094733,58247905,58654261,58755342,58998013,59282022,59349542,59454253,59540485,59884741,59895022,60257185,60268395,60334086,60400030,60415597,60430453,60432157,60505261,60505312,60669022,61118593,61258885,61388516,61523375,61908942,61948678,62015562,62401285,62445541,62577733,62986861,63131142,63295797,63371115,63389130,63436791,63655021,63763437,64002702,64005421,64230213,64286288,64463277,64536385,64722046,64829316,64932430,65133080,65208456,65568486,65592824,65728742,65946913,66037021,66076381,66088677,66116917,66169355,66637508,66662485,67078886,67122575,67289915,67528250,67595856,67615072,67683651,67933317,68011837,68068476,68163810,68292068,68344152,68363582,68370481,68390821,68419021,68545390,68621493,68844135,68861262,68901080,69153301,69375517,69446830,69447013,69764133,69767173,69897486,69939853,70252942,70489537,70849051,71354757,71407237,71425022,71448582,71587742,71650561,71878436,72211622,72288085,72308622,72322074,72480036,72484437,72567685,72571573,72576517,72708064,72828973,73201076,73274715,73359513,73384293,73392862,73433744,73442686,73510662,73596961,73791927,73828050,74011262,74280693,74360437,74719117,74881542,75396333,75463250,76045338,76049185,76066956,76104526,76165861,76239716,76357093,76404301,76611853,76742485,76887171,77296405,77308933,77443662,77513715,77527390,77723302,77918916,77987905,78126085,78158077,78159696,78320902,78352021,78420686,78749920,78853796,78914773,79403226,79514435,79724708,79740596,79831681,79994982,80547090,80575775,80606485,80747898,80774341,80881285,81033900,81088993,81155102,81293185,81575086,81796572,82254468,82374747,82398118,82539157,82612962,82681296,82975982,83054613,83336196,83484237,83959453,84127053,84601957,84640868,84785060,84984085,85001156,85549630,85550941,85631617,85916896,85973955,86072053,86088517,86343685,86436160,86678877,86745702,86758081,87021985,87081222,87428485,87522573,87697880,87713653,87929658,88153077,88205821,88375585,88429784,88470757,88547221,88593660,88714117,89074453,89194801,89199597,89354686,89415704,89489435,89537396,89981230,90234541,90245857,90341677,90533542,90555900,90935173,91051297,91259022,91315742,91607905,91705552,91782541,91895277,92039998,92090982,92306757,92465773,92503678,92529742,92563438,92755686,93016458,93032868,93352766,93536013,93585486,93616405,93740133,93751302,93754453,94005781,94018621,94194023,94283905,94394830,94417285,94499904,94527650,94691576,94817185,95011942,95056357,95196440,95417322,95532253,95779597,95826980,95964277,96112897,96128450,96592960,96618478,96656508,96690930,96727782,96776013,96811285,97057542,97103521,97240680,97390621,97415557,97487366,97551822,97662260,98001651,98065175,98169422,98660115,98790430,98869486,99060385,99229501,99325822,99456085,99483507,99667390,99691683,99773636,99925837,99963416,...,2418403668259216322235522171515282739111101007599434304949758241298898900683800419353109002527111298667273414879518549733917287454140286929695195666644581831243232267190155624280978256353710442009524811374379368999345761288808797298885579048161987635129028310131415210158881732076284114464179474125303229644189026790588107613957305041837677210366992796748168033604957479647222516027710738376119631415622409463189556601238779533416764857295220933843199536984997164839114460510519801875499361161773737869694179311765566710141745939062392425255263667279884067167759816916621003763184287533173285338772737444950854421649917483448448313142625731478260115942327751421789593943779915377157142339934417070903121369161675346106965354255019979396879619677144712388631793740967063886163328854301663379904274561415488573896569708397558005947801584193994486555794401668929832493478279161313267720524374873551763256788571668141474330932575295986508221707393751195359733523512760004305610708719034439326582552088079172096576718748864317807599159079375091268048687365033236782899141883656362831934604211572447444583345085333984381010202594682843942066034579996481687978879829229694804520181952920490999764428690597818679782409967815531826956945191163417819019606379325601994034168217332067343997438581517507095238513258861644022370039389120301881610731313950531816125502777488271927289817564343523767228804642902901122181661399277771470810168380721036904305778915248622796072706943168507615188219691949251780461936154667213853239746504841145005423284306607157750537491716874198849393702650434012868039715496343711584065507515538187190420395064396669248129123142174341842345247799525877028783489106932106093421677307249816417817294413848022644227608515343241474930805489463832300243861250817179815998803785565314333009285973233828161696683092389615522800469974613042726034432409202658642822174346045589184321455155204015571484569461276543366690779682036256237987228201893525286104108122794675123926587358023092265499008703908338738559810190611948397397708118209537642152076544872108848429044360352582797657328707772374284863265464529006180574178935301951274300368008125322956195781788595075150004951675390636897255185009037935651986059471398238444886359183461340718511838897491779235162839865962857863473429272581364085047820014663298104043456078834916589437959285117391464495294710280541833426307592880997350566435195901046438445137979585373585026284395654388623195065598837849399057409701866167399860971577581317233688922761772406169475730013088374}
15924 15999015381863354543371693496457436712974675531331500467257218848: {79595,95514,175043,270419,365723,445564,587819,636520,682883,716085,746219,763824,827164,859302,1208476,1302242,1399816,1574793,1598123,1692419,1970236,2006219,2162536,2162819,2338329,2381723,2432853,2475419,2569043,2730844,2783725,3005003,3036083,3098219,3340470,3563168,3572834,3686248,3779603,3869596,3939976,3976750,4008564,4026419,4118843,4137242,4147029,4334219,4340973,4395683,4426403,4432473,4700354,4700776,4772100,4947419,5090240,5167825,5207656,5288373,5449154,5726520,5800523,5858613,5952203,6009242,6108288,6121885,6139324,6164219,6201390,6442335,6516604,6614816,6677483,6871824,6910845,7068419,7158443,7346262,7371568,7441668,7485448,7496474,7730802,7866842,8054723,8293014,8322203,8411219,8421129,8648243,8745550,8790242,9091283,9158594,9444419,9884219,9971963,10088843,10409603,10494660,10526003,10908086,10991714,11194304,11394923,11395036,11773749,11912819,12058233,12141244,12336429,12428123,12593592,12780136,12790645,12997643,13620419,13676843,13774029,13785448,13894754,14099003,14167791,14255042,14377653,14463419,14603219,14686225,14794394,15114556,15198117,15348774,15382403,15508629,15582980,15690434,16043656,16047842,16210283,16265219,16347563,16544776,16604005,16963516,17030963,17230885,17275763,17294234,17332444,17492819,17557345,17574083,17623470,17682323,17904649,18049113,18180194,18272350,18612873,18628413,18699576,18798368,18891203,18971219,19046536,19051163,19195293,19539964,19620445,19795816,19820243,19899419,19924806,19941314,19978523,20083883,20116634,20677062,20798701,21005884,21037023,21068814,21148164,21427353,21467819,21545483,21926820,21932723,22261400,22270293,22538248,22566901,22701803,22787176,22880219,22931123,23075042,23185163,23242681,23388608,23420354,23544534,23560156,24030856,24577189,24615550,24767219,24795842,24993397,25044075,25309274,25355529,25373445,25375996,25578070,25635573,26244419,26312184,26317523,26713680,26786085,26803043,27034713,27065008,27070285,27764483,27883763,27979043,28050419,28494592,28530914,28571824,28665205,28830803,29034842,29370074,29418445,29532683,29533933,29538660,29585318,29601207,29712430,29741843,29814375,29928145,29978248,30052890,30227363,30342443,30448134,30617819,30686483,30693684,30705242,31301219,31459336,31459643,31507904,31707803,31802000,31865219,31977419,32056416,32134163,32143302,32199016,32219229,32238430,32361242,32484342,32579843,32855234,32867819,32978219,33198419,33203830,33238933,33264323,33592763,33636124,33676648,33725529,33922696,34002842,34027883,34179419,34329434,34398246,34567283,34660456,34691245,34818242,34995203,35057116,35110270,35239245,35250419,35302134,35391753,35446392,35453341,35525603,35654916,35777250,35778419,35906941,35913774,35953754,36063468,36134603,36223893,36259763,36509219,36540100,36716219,36778163,36826876,37179964,37373243,37532764,37563674,37588528,37593374,37637819,37723874,37886229,37941419,38043842,38162400,38163033,38343419,38356225,38483363,38589436,38686116,38781923,38830216,38870409,38993013,39292444,39451245,39564136,39588803,39635042,39844596,39877191,39951554,40344796,40401419,40535483,40706560,40745363,40916363,41218763,41387963,41525474,41592166,41629494,41780243,41873123,42006376,42026350,42081328,42095219,42103929,42132324,42253845,42264740,42287094,42296518,42316163,42645419,42700043,42881603,42932700,43148677,43188419,43240154,43403603,43455349,43468648,43550042,43582043,43683993,43777403,43848120,43901219,44181244,44200283,44509653,44528284,44566523,44630114,44685448,44739683,44980763,44997923,45070768,45203219,45458219,45626113,45657736,45721497,45745043,45794880,45795419,45855842,46027470,46054900,46262123,46313114,46493123,46509563,46738883,46771328,47031419,47241083,47257173,47341494,47484190,47703923,47861963,47909219,48144419,48234326,48408803,48424283,48449245,48563243,48847872,48902229,49095968,49288645,49329135,49562483,49980502,50041756,50123725,50180219,50252819,50271129,50431620,50512523,50647630,50684219,50704614,50717688,50854763,50996003,51108419,51276083,51295630,51364953,51497843,51519240,51749596,52110563,52193896,52219453,52337819,52430723,52510043,52575923,52578842,52617744,52691397,52942148,53016674,53082923,53350883,53590283,53598434,53704820,53793728,53876219,54206483,54242819,54327323,54423419,54467164,54542819,54743963,54812085,54953856,55070219,55127819,55232964,55265880,55502963,55603763,55800393,55946003,55967819,56098043,56156284,56162723,56250502,56291219,56410981,56429123,56525416,56614874,56793683,56981028,56991445,57017819,57057399,57182234,57188363,57393721,57606242,57724283,57724936,57771803,57922523,57959145,57964645,58052723,58061963,58080419,58139094,58281323,58466224,58469483,58645403,58680203,58718133,58775243,58809563,58907013,58950272,58962419,59010242,59146374,59162248,59163188,59178556,59194962,59417380,59512924,59649889,59687819,59749163,59801133,59802419,59825123,59892803,59974643,60004163,60048203,60084683,60148470,60288445,60299363,60378200,60452219,60506843,60517944,60597256,60634523,60667643,60676034,60707123,60752819,60777156,60868523,61037219,61110323,61229603,61316963,61363994,61391219,61408163,61486283,61513084,61554756,61770805,61808363,61823088,61892819,61955843,62022203,62048354,62079070,62118803,62172419,62174115,62229203,62288843,62301419,62391443,62435003,62450603,62469923,62509276,62574419,62655563,62686163,62777219,62792819,62802083,62829443,62864834,62876483,62882219,62932403,62951219,63020123,63089843,63135645,63138419,63158219,63162083,63212819,63221219,63232643,63267419,63314483,63317819,63320003,63326363,63349763,63351419,63374123,63390419,63502876,63591093,63619556,64158368,64254526,64445784,64823644,64883354,64940553,65416154,65774502,66211034,66319056,66468124,66551656,66557529,67344688,67480045,67925475,68082687,68105404,68171913,68389734,68448616,68906180,69081242,69467234,69550974,69557574,69868648,70412350,70617434,71191825,71250969,71251394,71286205,71300856,71309733,71994376,72178164,72346134,72453840,72501507,72651484,73020838,73408648,73503842,73874714,74124966,74494884,74608938,74870613,75101594,75177284,75544156,75631640,75760648,75762774,76314074,76735645,76795034,76914914,77004693,77168776,77213422,77284096,77376061,77459644,77496837,77512154,77750042,77987354,78238741,78340456,78602229,79042696,80213463,80242358,80357860,80445448,80976054,80993673,81036645,81401253,81416350,81510570,81592034,81991030,82386842,82514377,82545256,82584729,82687416,82855129,83296885,84174856,84394396,84494820,84518840,84582388,85017916,85085595,85230729,85336936,85365085,85430190,85543446,85640284,85951036,86038754,86126350,86204229,86439088,86814873,86944608,87424648,87467989,88118236,88133013,88371382,88596194,88923033,89024313,89740634,89842533,89848045,89946842,90127808,90244868,90501129,90577756,90600045,90757968,90765914,90885080,91003533,91125536,91475042,91495324,91501345,91776794,91792180,91815016,92082774,92177114,92475842,92863413,92923017,92970842,92981317,93018844,93023343,93196648,93361933,93462242,93950042,94696713,95083695,95139676,95201474,95264776,95299645,95581634,95676314,96004053,96411496,96429432,96640048,96645916,96801242,97083069,97243974,97398645,97447874,97539674,97699620,97812684,97845724,98014216,98352729,98389236,98437400,98567245,98593113,99040924,99078242,99655885,99675745,99787874,99842056,99956262,...,3627605502388824483353283257272924108666651511399151457424637361948348351025700629029663503790666948000910122319277824600875931181210430394542793499966872746864848400785233436421467384530565663014287217061569053499018641933213195948328368572242981452693542465197122815238322598114426171696269211187954844466283540185882161420935957562756515815550489195122252050407436219470833774041566107564179447123433614194784334901858169300125147285942831400764799305477495747258671690765779702813249041742660606804541268967648350065212618908593588637882895500919826100751639725374931505644776431299759928008159106167426281632474876225172672469713938597217390173913491627132684390915669873065735713509901625606354682053742513019160448031382529969095319429515717068582947690611450595829244993281452495069856411842123232860844854562596337008921702376290991729833691602503394748740217418741969901580786562310327644885182857502212211496398862943979762332561090626793039600285269140006458416063078551658989873828132118758144865078123296476711398738619062636902073031047549855174348712825484544247901906317358671166875017628000976571515303892024265913099051869994722531968319743844542206780272929380736499646643035896728019673614951723297740435417786745126728529409568988402991051252325998101015996157872276260642857769888292466033555059083680452822416096970925797724188254166232407890934726346515285650843206964354351683272492098916657206215252571081555356458668372872934194109060414752761422782329537923877670692904232000820779859619757261717508134926459910736625806237575311298274090553975651019302059573244515567376098261273307280785630592596595003872193684713261512763517871699288815543175233660398159140132515960874724626725941620772033966341412773014862212396208234195748450365791876225769723998205678347971499513928959850742242545024638584423284200704961919564089051648613803987964233261519068383776482182732806023357226854191914815050036169523054384356980842302840287929156162184192012685889881037034638398248513055862508107839715285917922596096562177314306463228114817308163272643566540528874196485993061658561427294898196793509270861268402952926911450552012187984434293672682892612725007427513085955345882777513556903477979089207097357667329538775192011077767758346237668852744259798944286795210143908872046127571730021994947156065184118252374884156938927676087196742942065420812750139461389321496025849652793851569657667706969378060377539426593481582934792598398256774098586114552799251099791457366371975850533384142658609254213595019632561}
15925 16069174288910183413283373159651272919347866159802165235833377268: {31846,127352,143271,556955,668346,795650,954780,1018432,1033955,1145736,1224839,1240746,1288953,1510595,1749770,1812714,1892219,1953363,2099724,2273843,2462795,2703170,2955354,3117772,3225467,3243804,3413555,3447479,3848042,4096266,4113179,4453960,4556699,4607810,4750811,4836995,4924970,5010705,5132147,5344752,5359251,5529372,5735207,5787964,5804394,5875970,5909964,5965125,6012846,6205863,6362800,6400043,6450122,6461939,6509570,6549767,7050531,7051164,7158150,7635360,7674155,7811484,8039834,8144384,8145755,8173731,8268520,8367179,8589780,8748227,9013863,9162432,9183842,9208986,9214460,9302085,9356810,9500426,9774906,9795016,9922224,10263002,10307736,10830842,10926851,11019393,11057352,11162502,11182619,11228172,11244711,11596203,11800263,11974274,12062267,12439521,13118325,13185363,13737891,13879994,13992880,14038199,14162087,14243795,14476679,15176555,15654722,15684551,15698332,15741990,15975170,16077644,16362129,16448572,16487571,16665719,16791456,16797866,16876739,17016707,17092554,17231810,17321339,18211866,18307211,18365372,18491594,18890388,18893195,19170204,19478725,19720967,19938779,20054570,20264156,20465032,20678172,20680970,20842131,21026999,21168251,21204395,21382563,21665555,22054439,22191591,22392851,22671834,23023161,23374470,23497960,23535651,23681882,23808170,24065484,24071763,24424955,24744770,24817164,24837884,24932768,24952871,25000346,25342682,25445274,25593724,25941351,25998666,26230967,26257355,26435205,26566408,26746547,27270291,27408525,27526919,27569416,27826750,28049364,28091752,28172810,28174139,28197552,28483970,28501811,28569804,28750391,29135987,29235760,29309946,29450195,29467067,29682359,29693724,29887209,29910074,29911971,30038570,30174951,30327899,30926471,30938843,30981434,31015593,31324403,31392712,31508826,31603221,31719995,31722246,32715587,32889962,32890230,33372131,33392100,33497291,33807372,33831260,33976439,34180764,34612563,34618619,34826423,35082912,35130531,35316801,35340234,35397011,35618240,35714780,35823194,36046284,36236747,36610691,36755579,36821162,36923325,37015043,37193763,37472810,37895594,37963911,38035067,38063994,38367105,39099767,39324170,39384880,39436922,39468276,39573323,39752500,39950519,40070520,40142951,40248770,40597512,40924912,41514434,41551259,41640647,42045155,42095810,42403370,42741888,42796371,42857736,42958972,43312456,43325570,43449299,43552263,43821395,43963946,44055111,44307990,44377977,44568645,44652506,44967372,45079335,45347339,45669659,45672201,45675125,45864328,46033595,46040526,46057863,46209707,46411586,46474955,46631783,46688291,46915955,46979267,46985660,47069512,47189004,47261856,47491691,47501579,47539888,47703000,47862242,47885032,48084624,48214953,48233834,48236795,48298524,48357645,48391979,48537770,48541863,48726513,49097243,49115555,49282851,49455170,49459739,49624451,49805745,49902707,49939847,50420663,50430995,50454186,50509319,50514972,50883200,50884044,51004263,51101843,51157946,51494151,51581488,51597369,51714371,51766967,51827212,51990684,52138082,52227363,52358042,52365479,52507970,52585674,52601660,52665405,52704839,52830925,52953201,53022599,53126128,53169588,53482374,53487527,53503931,53665875,53682791,53714243,53870661,53930631,54095202,54335810,54703571,54810150,55103243,55226555,55240314,55342106,55505992,55660355,55769946,55856810,56138572,56176432,56183426,56299146,56338460,56345511,56382792,56390061,56475914,56585811,56673899,56737703,57065763,57072170,57243600,57499091,57568625,57884154,58029174,58232699,58245324,58464160,58543682,58802963,58926602,58938666,58996019,59005511,59346204,59452563,59492771,59766894,59892539,59902634,59927331,60389306,60517194,60651914,60961996,61038347,61058114,61059840,61135067,61369960,61956554,62074679,62288211,62388249,62444241,62552195,62640842,62784899,62995079,63009564,63039525,63074843,63121992,63198486,63397110,63430641,63444777,63764723,64187699,64230602,64232567,64399050,64562339,64686995,64860231,65130496,65159114,65202972,65242370,65325063,65772180,66177685,66271866,66290567,66448871,66792426,66945171,67028172,67045043,67131025,67242160,67522679,67606152,67623527,67623584,67806554,68083955,68486604,68547899,68692320,68783763,69041205,69082350,69162359,69469671,70156992,70195355,70255196,70317323,70389767,70512986,70656770,70785026,70885799,71012241,71143847,71226285,71400251,71659667,71748083,72156170,72227099,72351489,73082780,73212074,73271808,73583207,73643952,73652999,73687840,73928051,73952810,73953985,73973195,74060939,74271725,74369891,74391155,74400524,74514842,74669819,74846186,74970753,75062634,75098759,75472750,75634202,75647430,75746570,75971445,75974704,76056921,76076532,76414067,76496567,76551674,76591979,76891355,76943445,77278860,77518792,77624394,78136595,78168071,78290844,78517994,78542684,78691943,78830186,78861832,78868263,78926616,79010954,79176074,79378595,79413222,79488743,79524445,79525011,79734844,80197960,80338139,80370554,80397651,80417591,80557230,80690592,80858843,80997107,81029555,81036208,81353114,81418679,81421619,81547067,81700746,82060826,82073008,82083002,82255427,82430784,82642439,82849446,82898820,83085155,83087642,83189570,83356679,84068162,84180860,84234426,84360059,84375753,84390371,84560042,84788124,84922311,85131755,85471542,85560770,85762439,85773351,85927712,86132725,86409363,86480042,86587404,86769107,86808923,87200954,87208641,87335810,87361799,87699336,87721082,87922619,88304411,88425408,88515363,88544423,88719561,88743372,88744782,88767834,88792443,88859906,88873922,89126070,89269386,89366042,89992970,90222705,90350939,90545114,90567300,90776916,90814355,90895884,90905402,90962891,91014051,91165734,91186312,91381379,91484723,91760810,92045991,92145866,92269626,92311547,92332134,92541506,92561066,92575274,92597843,92637097,92734632,92743432,93072531,93118605,93251642,93293339,93327479,93763914,93971605,94205881,94297251,94335434,94430195,94539550,94632674,94700810,95001292,95067808,95079644,95254314,95429334,95714522,95963546,96237552,96381789,96460970,96461512,96529754,96605120,96668676,96824555,96960299,97062026,97225562,97235466,97306154,97325031,97379594,97403003,97925570,97974122,98124231,98401847,98661753,98803370,98833288,98883242,99026363,99316551,99326512,99478584,99565082,99688307,99702186,99827484,99867002,99984131,...,4836807336518432644471044343030565478222202015198868609899516482597797801367600838706218005054222597334546829759037099467834574908280573859390391333289163662486464534380311248561956512707420884019049622748758737998691522577617594597771158096323975270258056620262830420317763464152568228928358948250606459288378053581176215227914610083675354420733985593496336067209914959294445032055421476752239262831244818926379113202477559066833529714590441867686399073969994329678228921021039603750998722323547475739388358623531133420283491878124784850510527334559768134335519633833242007526368575066346570677545474889901708843299834966896896626285251462956520231884655502843579187887559830754314284679868834141806242738323350692213930708510039958793759239354289424777263587481934127772326657708603326759808549122830977147793139416795116011895603168387988973111588803337859664986956558322626535441048749747103526513577143336282948661865150591973016443414787502390719467047025520008611221417438068878653165104176158344193153437497728635615198318158750182536097374730066473565798283767312725663869208423144894889166690170667968762020405189365687884132069159992963375957759658459389609040363905840981999528857381195637359564819935631063653913890382326835638039212758651203988068336434664134687994877163035014190477026517723288044740078778240603763221462627901063632251005554976543854579635128687047534457609285805802244363322798555542941620336761442073808611557830497245592145413886337015230376439383898503560923872309334427706479493009682290010846568613214315501074983433748397698787405300868025736079430992687423168131015031076374380840790128793338496258246284348683684690495599051754057566978213864212186843354614499632835634588827696045288455217030686482949861610978927664600487722501634359631997607571130628666018571946467656323393366184779231045600939949226085452068864818405317285644348692091178368642910310408031142969138922553086733381559364072512475974456403787050572208216245589350247853174716046184530998017407816677477119620381223896794795416236419075284304153089744217696858088720705165595314657415544748569726530929058012361148357870603902548600736016250645912391563577190150300009903350781273794510370018075871303972118942796476889772718366922681437023677794983558470325679731925715726946858545162728170095640029326596208086912157669833178875918570234782928990589420561083666852615185761994701132870391802092876890275959170747170052568791308777246390131197675698798114819403732334799721943155162634467377845523544812338951460026176748}
15926 16139638452852542057141818285986728851735669538148102804863177994: {47769,111433,159190,191028,206869,302233,350086,540838,587893,731446,891128,1002519,1062553,1175638,1193475,1273040,1365766,1432170,1492438,1527648,1629769,1654328,1718604,1724053,1861119,2194393,2416952,2604484,2624655,2719071,2799632,3036469,3129673,3149586,3196246,3384838,3897215,3940472,4012438,4054755,4325072,4325638,4334773,4426969,4433031,4676658,4763446,4795033,4865706,4950838,5138086,5461688,5567450,5710153,5772063,6010006,6072166,6144399,6196438,6680940,6708469,6911715,7126336,7145668,7234955,7372496,7387455,7518793,7559206,7698073,7739192,7879952,7953500,8017128,8052838,8237686,8274484,8294058,8570639,8668438,8681946,8706591,8791366,8813955,8852806,8856373,8864946,9019269,9298633,9386869,9400708,9401552,9475033,9544200,9675183,9764355,9894838,10180480,10335650,10415312,10576746,10737225,10788853,10898308,11049673,11136469,11223193,11453040,11518075,11601046,11717226,11904406,11914393,12018484,12059751,12216576,12243770,12278648,12328438,12402780,12857269,12884670,13033208,13229632,13354966,13743648,13775763,13813479,13821690,14035215,14136838,14250639,14316886,14662359,14692524,14743136,14883336,14884213,14970896,14992948,15394503,15461604,15467593,15733684,16109446,16246263,16586028,16644406,16705813,16743753,16822438,16842258,17296486,17491100,17580484,17846869,17906903,17961411,18182566,18317188,18888838,18973813,19622915,19768438,19943926,20097055,20177686,20560715,20637769,20819206,20819991,20951113,20989320,21052006,21496693,21816172,21983428,22388608,22653913,22789846,22790072,22956715,23245607,23482083,23547498,23612985,23825638,23962755,24116466,24123239,24282488,24580283,24672858,24845269,24856246,25142773,25187184,25196799,25216969,25330195,25560272,25581290,25638831,25847715,25995286,27240838,27317799,27353686,27468623,27548058,27570896,27737391,27768469,27789508,28198006,28335582,28481269,28510084,28755306,28926838,29206438,29372450,29467093,29537651,29588788,30081855,30229112,30231769,30396234,30645193,30697548,30764806,31017258,31021455,31047355,31165960,31260469,31380868,31992155,32087312,32095684,32339893,32420566,32530438,32679559,32695126,33089552,33208010,33927032,34007751,34061926,34461770,34551526,34588468,34664888,34829653,34903739,34985638,35061705,35114690,35148166,35246940,35276953,35364646,35467573,35522823,35712255,35783833,35809298,36098226,36223573,36360388,36410953,36544700,37092469,37117155,37225746,37256826,37399152,37500519,37596736,37782406,37898399,37942438,37947253,38014023,38093072,38102326,38167911,38309269,38390586,38966233,38997999,39079928,39143893,39240890,39591632,39640486,39798838,39849612,39882628,39957046,40131287,40167766,40233268,40369369,40426933,40599193,40998613,41185823,41354124,41597402,41731033,41740125,41786869,41899403,42011768,42064969,42074046,42137628,42259215,42289075,42296328,42341269,42725955,42854706,42935638,43090966,43213333,43642453,43853640,43865446,43908313,43964919,44196823,44224969,44522800,44540586,44643475,44695093,44865111,45005269,45057855,45076496,45133802,45403606,45574352,45760438,45819733,45862246,46150084,46370326,46472151,46485362,46517269,46713973,46777216,46811893,46840708,47055433,47089068,47120312,47263239,47441353,47583369,47727769,48061712,48432469,48478873,48567743,49154378,49231100,49334943,49335345,49534438,49591684,49690625,49986794,50088150,50275993,50485699,50618548,50711058,50746890,50751992,50877769,50993891,51156140,51271146,51298969,52079413,52360393,52488838,52624368,52635046,52950613,53010351,53427360,53486869,53572170,53606086,53698715,53734791,54069426,54130016,54140570,54228469,54445333,54552793,54765769,54976153,55231743,55528966,55758613,55767526,55958086,56100838,56209215,56843391,56906869,56989184,57061828,57089173,57095991,57143648,57330410,57475273,57620533,57661606,57678133,57933769,58069684,58073269,58100953,58210969,58507573,58732075,58740148,58836890,58846873,58974133,58986255,59065366,59067866,59077320,59155383,59170636,59202414,59369269,59424860,59483686,59628750,59722969,59814553,59856290,59956496,60105780,60373155,60402613,60454726,60464713,60566773,60684886,60896268,60900313,61235638,61353013,61372966,61387368,61410484,61488373,61570633,61713899,62040469,62109769,62242969,62271651,62476213,62555593,62602438,62837833,62846869,62855833,62882293,62918672,62919286,62965813,63015808,63047567,63143715,63155353,63201433,63227893,63237973,63257269,63304393,63348853,63367753,63400153,63401269,63408469,63409369,63415606,63604000,63605055,63730438,63954838,64112832,64268326,64286604,64398032,64438458,64476860,64722484,64784015,64968684,64988355,65159686,65710468,65735638,65752075,65945919,65956438,66396838,66407660,66461985,66477866,66528646,66667523,66978759,67185526,67272248,67353296,67451058,67828943,67845392,68005684,68055766,68358838,68658868,68796492,69004103,69060789,69134566,69320912,69382490,69617379,69636484,69990406,70114232,70173215,70220540,70423075,70478490,70500838,70604268,70783506,70892784,70906682,71051206,71309832,71554500,71556838,71793363,71813882,71827548,71907508,72126936,72269206,72350751,72447786,72519526,72806655,73018438,73080200,73432438,73556326,73653752,74182755,74359928,74746486,75065528,75127348,75177056,75186748,75275638,75447748,75681279,75772458,75882838,76087684,76202495,76324800,76326066,76686838,76712450,76736919,76966726,77178872,77372232,77563846,77660432,77740818,77986026,78207123,78537063,78584888,78761955,78878511,78902490,79128272,79177606,79270084,79689192,79754382,79788023,79903108,80223561,80689592,80802838,81070966,81142803,81150503,81413120,81490726,81503715,81832726,82215225,82437526,82775926,82860471,83013159,83050948,83184332,83258988,83560486,83654919,83746246,83785215,84012752,84052700,84162656,84190438,84207858,84264648,84275139,84403823,84448719,84507690,84529480,84574188,84593036,84632326,84713871,85290838,85400086,85608255,85763206,85865400,86297354,86376838,86479127,86480308,86807206,86826231,86910698,86937296,87043761,87100084,87164086,87367986,87554806,87696240,87802438,87815523,87818995,88362488,88389903,88400566,88407999,89019306,89056568,89133046,89260228,89370896,89479366,89650341,89853951,89961526,89995846,90141536,90406438,90583959,90775791,90916438,90977871,91252226,91315472,91353475,91442994,91490086,91587171,91589760,91590838,91711684,92054940,92109800,92524246,92626228,92934831,92986246,93000655,93019126,93477766,93542656,93961263,94062838,94472063,94482166,94514346,94682988,94797729,94968380,95095665,95407846,95723926,95818438,96288838,96345903,96468652,96598575,96817606,96848566,96898490,97126486,97516991,97695744,97738671,97804458,97863555,98178355,98191936,98577290,98658270,99124966,99407799,99668555,99800687,99961004,...,7255211004777648966706566514545848217333303022798302914849274723896696702051401258059327007581333896001820244638555649201751862362420860789085586999933745493729696801570466872842934769061131326028574434123138106998037283866426391896656737144485962905387084930394245630476645196228852343392538422375909688932567080371764322841871915125513031631100978390244504100814872438941667548083132215128358894246867228389568669803716338600250294571885662801529598610954991494517343381531559405626498083485321213609082537935296700130425237817187177275765791001839652201503279450749863011289552862599519856016318212334852563264949752450345344939427877194434780347826983254265368781831339746131471427019803251212709364107485026038320896062765059938190638859031434137165895381222901191658489986562904990139712823684246465721689709125192674017843404752581983459667383205006789497480434837483939803161573124620655289770365715004424422992797725887959524665122181253586079200570538280012916832126157103317979747656264237516289730156246592953422797477238125273804146062095099710348697425650969088495803812634717342333750035256001953143030607784048531826198103739989445063936639487689084413560545858761472999293286071793456039347229903446595480870835573490253457058819137976805982102504651996202031992315744552521285715539776584932067110118167360905644832193941851595448376508332464815781869452693030571301686413928708703366544984197833314412430505142163110712917336745745868388218120829505522845564659075847755341385808464001641559719239514523435016269852919821473251612475150622596548181107951302038604119146489031134752196522546614561571261185193190007744387369426523025527035743398577631086350467320796318280265031921749449253451883241544067932682825546029724424792416468391496900731583752451539447996411356695942999027857919701484485090049277168846568401409923839128178103297227607975928466523038136767552964365465612046714453708383829630100072339046108768713961684605680575858312324368384025371779762074069276796497026111725016215679430571835845192193124354628612926456229634616326545287133081057748392971986123317122854589796393587018541722536805905853822901104024375968868587345365785225450014855026171910691765555027113806955958178414194715334659077550384022155535516692475337705488519597888573590420287817744092255143460043989894312130368236504749768313877855352174393485884130841625500278922778642992051699305587703139315335413938756120755078853186963165869585196796513548197172229105598502199582914732743951701066768285317218508427190039265122}
15927 16210409191454212226456407097917975387256023106314616321693088443: {63692,238785,254704,286542,525129,779737,811257,1097169,1113910,1336692,1447537,1591300,1763457,1909560,2036864,2048649,2067910,2114833,2148255,2238657,2291472,2449678,2481492,2577906,2687269,3021190,3255605,3447913,3499540,3625428,3784438,3906726,4199448,4547686,4724379,4778977,4794369,4925590,5067953,5077257,5406340,5735929,5910708,6018657,6211817,6235544,6450934,6487608,6488457,6771793,6827110,6894958,7014987,7145169,7298559,7426257,7636837,7696084,7707129,7829333,8192532,8226358,8351175,8401049,8907920,8932085,9015009,9108249,9113398,9215620,9294657,9351553,9501622,9673990,9849940,9941875,10021410,10264294,10343105,10689504,10718502,10743817,11058744,11338809,11404057,11470414,11575928,11608788,11750885,11751940,11819928,11930250,12025692,12079257,12356529,12411726,12441087,12725600,12800086,12900244,12923878,13002657,13019140,13022919,13099534,13187049,13279209,13297419,13622885,14101062,14102328,14316300,14842257,15023105,15270720,15348310,15503475,15622968,15865119,16079668,16288768,16291510,16347462,16537040,16734358,17179560,17401569,17496454,17575839,17856609,18027726,18190273,18324864,18365655,18367684,18417972,18428920,18492657,18604170,18607193,18713620,18741185,19000852,19327005,19549812,19590032,19643129,19667105,19844448,19941313,19945237,20032449,20526004,20615472,20732535,21205257,21247177,21475329,21661684,21853702,21863875,21975605,22038786,22114704,22325004,22365238,22456344,22489422,22896485,23192406,23600526,23948548,24124534,24164169,24879042,24966609,25233657,25263387,25842113,25944729,26064337,26236650,26370726,26450473,27144053,27270215,27273849,27475782,27479285,27759988,27985760,28076398,28324174,28333257,28487590,28745657,28930913,28953358,29652657,29686153,29915889,30266529,30331777,30346037,30353110,30986153,31228809,31309444,31369102,31396664,31483980,31578009,31950340,32155288,32724258,32897144,32975142,33331438,33582912,33595732,33753478,34033414,34184769,34185108,34194937,34463620,34642678,34736885,35321247,35637605,35738457,35807449,36174699,36423732,36614422,36710369,36730744,36735317,36760297,36983188,36985985,37009287,37019749,37284369,37780776,37786390,38340408,38371935,38735833,38876417,38957450,38992929,39225217,39226085,39441934,39877558,39922613,40109140,40119605,40195529,40528312,40803029,40861257,40930064,41030529,41040809,41230273,41322087,41356344,41361940,41503729,41684262,42053998,42297009,42336502,42408790,42503373,42721717,42765126,43132959,43235585,43331110,43390257,43809657,44058675,44108878,44383182,44407993,44785702,45343668,45450485,45568777,45594351,45680875,46046322,46147209,46269413,46282517,46299473,46525887,46748940,46995920,47071302,47363764,47524049,47616340,47869433,48130968,48143526,48630849,48795657,48849910,48999473,49042689,49489540,49634328,49675768,49681817,49812015,49853285,49865536,49905742,50000692,50291585,50685364,50890548,51092889,51187448,51692655,51827289,51882702,51997332,52461934,52478457,52514710,52672035,52722249,52754633,52870410,53046969,53132816,53344273,53493094,53713947,53777609,54085153,54147339,54540582,54817050,55031129,55053838,55110289,55138832,55653500,55838619,55885239,56098728,56183504,56345620,56348278,56395104,56673609,56913657,56967940,57003622,57139608,57153489,57500782,57585879,57643253,57687605,58271974,58471520,58550885,58619892,58861335,58863217,58900390,58934134,59364718,59387448,59426873,59460729,59466689,59698257,59774418,59820148,59823942,59898833,59935569,60077140,60164257,60251649,60349902,60445817,60520697,60655798,61349953,61538875,61624097,61852942,61877686,61962868,61989605,62031186,62287537,62396103,62593649,62618453,62648806,62785424,63017652,63111069,63206442,63273185,63439990,63444492,63480469,63671273,63945175,64282059,64403457,64447033,64636449,65064937,65431174,65682337,65779924,65780460,65798169,65847577,66053753,66173633,66440033,66744262,66784200,66810879,66994582,67053649,67531513,67614744,67662520,67700703,67952878,68051429,68105409,68219329,68361528,68640657,68761777,68793369,69225126,69237238,69464609,69555489,69652846,69728043,69957737,70165824,70261062,70603393,70633602,70680468,70794022,71236480,71327285,71425673,71429560,71526293,71646388,71739193,72092568,72473494,72587105,73076309,73221382,73425185,73511158,73642324,73731567,73846650,73963295,74030086,74281075,74301657,74387526,74659733,74945620,74980191,75132225,75358309,75399929,75791188,75927822,76066587,76070134,76077553,76120335,76127988,76185233,76391513,76601713,76734210,76763105,76906719,77214217,77317177,77924497,78199534,78648340,78733257,78769760,78873844,78936552,78952569,79146646,79322417,79498849,79505000,79901038,80141040,80285902,80358255,80409129,80497540,80596075,80903105,81104139,81195024,81210855,81849824,82138085,83009575,83028868,83102518,83281294,83293449,83651289,83738537,83937129,83980889,84090310,84151257,84191620,84432869,84793189,84806740,85007105,85280129,85483776,85592742,85715472,85823585,85917944,85995615,86492409,86624912,86651140,86898598,87045605,87104526,87573073,87642790,87775675,87927892,87933793,88110222,88255335,88462133,88598049,88601799,88615980,88755954,88803621,89137290,89225529,89305012,89414657,89443125,89784435,89884385,89934744,90158670,90561793,90682089,90694678,91000633,91027329,91339318,91344402,91350250,91392997,91728656,91853457,92059449,92067190,92081052,92115726,92419414,92489417,92648759,92823172,92949910,92950289,92999569,93263566,93376582,93831910,93903657,93909185,93955553,93958534,93971320,93983435,94104593,94139024,94309685,94378008,94378929,94392629,94523712,94612409,94849537,94907753,94983382,95003158,95079776,95109605,95123409,95317537,95406000,95595657,95724484,95770064,95932257,96137333,96169248,96402489,96429906,96467668,96473590,96597048,96657687,96715290,96783958,96966593,97075540,97083726,97453026,97668337,97739529,98194486,98231110,98273497,98565702,98603457,98910340,98919478,98934657,98979353,99087605,99248902,99499193,99595257,99611490,99631673,99716799,99792969,99805414,99878885,99879694,...,10882816507166473450059849771818772325999954534197454372273912085845045053077101887088990511372000844002730366957833473802627793543631291183628380499900618240594545202355700309264402153591696989042861651184707160497055925799639587844985105716728944358080627395591368445714967794343278515088807633563864533398850620557646484262807872688269547446651467585366756151222308658412501322124698322692538341370300842584353004705574507900375441857828494202294397916432487241776015072297339108439747125227981820413623806902945050195637856725780765913648686502759478302254919176124794516934329293899279784024477318502278844897424628675518017409141815791652170521740474881398053172747009619197207140529704876819064046161227539057481344094147589907285958288547151205748843071834351787487734979844357485209569235526369698582534563687789011026765107128872975189501074807510184246220652256225909704742359686930982934655548572506636634489196588831939286997683271880379118800855807420019375248189235654976969621484396356274434595234369889430134196215857187910706219093142649565523046138476453632743705718952076013500625052884002929714545911676072797739297155609984167595904959231533626620340818788142209498939929107690184059020844855169893221306253360235380185588228706965208973153756977994303047988473616828781928573309664877398100665177251041358467248290912777393172564762498697223672804179039545856952529620893063055049817476296749971618645757713244666069376005118618802582327181244258284268346988613771633012078712696002462339578859271785152524404779379732209877418712725933894822271661926953057906178719733546702128294783819921842356891777789785011616581054139784538290553615097866446629525700981194477420397547882624173880177824862316101899024238319044586637188624702587245351097375628677309171994617035043914498541786879552226727635073915753269852602114885758692267154945841411963892699784557205151329446548198418070071680562575744445150108508569163153070942526908520863787468486552576038057669643111103915194745539167587524323519145857753767788289686531942919389684344451924489817930699621586622589457979184975684281884694590380527812583805208858780734351656036563953302881018048677838175022282539257866037648332540670710433937267621292073001988616325576033233303275038713006558232779396832860385630431726616138382715190065984841468195552354757124652470816783028261590228826196262438250418384167964488077548958381554708973003120908134181132618279780444748804377795194770322295758343658397753299374372099115927551600152427975827762640785058897683}
15928 16281487828123086660048319830503013153344286676750118787443070301: {79615,95538,222866,318380,382056,413738,429813,604466,651367,700172,746407,1081676,1175786,1462892,1670865,1782256,1989125,2005038,2069407,2125106,2163367,2351276,2386950,2546080,2632087,2731532,2819071,2864340,2984876,3005767,3055296,3099007,3101865,3259538,3308656,3437208,3448106,3674517,3722238,3866859,4027447,4374425,4388786,4396807,4531785,4833904,5208968,5249310,5406607,5438142,5456101,5589271,5599264,5676657,5860089,6072938,6226327,6259346,6299172,6392492,6679207,6757925,6769676,6821529,7130287,7220287,7388385,7794430,7880944,8024876,8109510,8650144,8651276,8669546,8739271,8853938,8866062,9182071,9353316,9526892,9590066,9620105,9676401,9731412,9798967,9901676,10062271,10128937,10240665,10276172,10342437,10674127,10923376,11134900,11420306,11519525,11544126,12020012,12059407,12144332,12288798,12312425,12339537,12392876,12402847,12488527,13361880,13416938,13670097,13680487,13823430,14252433,14252672,14291336,14469910,14510985,14523247,14607127,14689925,14744992,14774910,15032115,15037586,15118412,15358807,15396146,15396441,15478384,15608071,15759904,15773887,15907000,16034256,16077753,16105676,16125305,16269607,16273925,16475372,16548968,16588116,17141278,17205621,17336876,17363892,17413182,17416207,17497567,17582732,17627910,17705612,17712746,17729892,17895375,18038538,18065071,18468271,18597266,18617589,18773738,18801416,18803104,18869671,18950066,19029727,19088400,19109647,19200129,19350366,19385817,19528710,19649301,19789676,19904887,20099585,20360960,20457271,20671300,20830624,20849671,21151593,21153492,21396007,21474450,21577706,21796616,22099346,22272938,22401271,22446386,22906080,22937527,22959605,23013847,23022465,23036150,23202092,23392025,23434452,23751065,23808812,23828786,24036968,24119502,24433152,24437265,24450247,24487540,24521193,24557296,24656876,24805560,25101537,25657505,25714538,25769340,26007607,26066416,26244681,26300647,26373727,26459264,26709932,27028207,27041589,27077105,27472081,27487296,27551526,27626958,27643380,27820207,27906255,28070430,28135877,28177327,28273676,28501278,28633772,28674271,28785001,28886167,29027071,29324718,29378071,29385048,29486272,29766672,29768426,29935685,29941792,29985896,30282247,30626767,30789006,30923208,30935186,31446271,31467368,31919527,32139401,32218892,32492526,32683673,32780553,32921767,33058179,33120271,33172056,33288812,33318127,33411626,33487506,33547857,33644876,33684516,33734133,33907807,34556167,34592972,34699985,34788609,34908133,34982200,35160968,35400789,35462273,35578567,35693738,35705071,35813806,35831287,35922822,36145567,36186801,36365132,36520327,36524213,36634376,36768727,36954271,37318563,37568071,37777676,37947626,38053927,38475271,38621297,38893087,39136805,39245830,39354975,39536876,39556089,39887852,39937925,39951271,40125367,40194110,40355372,41121430,41213673,41269447,41275538,41638412,41639982,41902226,41978640,41994665,42104012,42114597,42219271,42486261,42494671,42731385,42993386,43040071,43079525,43417567,43430037,43466297,43632344,43738327,43966856,44214607,44777216,44789017,44892271,45046927,45252127,45307826,45529665,45579692,45580144,45810487,45911071,45913430,46228985,46260847,46491214,46964166,47047087,47053653,47094996,47225970,47289007,47624671,47651276,47719927,47862271,47925510,48232932,48246478,48564976,48702727,48794671,49086387,49160566,49340287,49345716,49462713,49475071,49690538,49712492,49787047,49997157,50136425,50285546,50357071,50374368,50393598,50433938,50630217,50660390,50787271,51050121,51120544,51126247,51162580,51277662,51294007,51543487,51695430,51702425,51964017,51990572,52232609,52436071,53101927,53858647,54481676,54635598,54707372,54869671,54921633,54937246,55096116,55113607,55141792,55474782,55489807,55536938,55579016,55712393,55724671,55988767,56119087,56312407,56396012,56425193,56671164,56679585,56846071,56962538,57020168,57059767,57210247,57358927,57510612,57794167,57853676,58019671,58103047,58158271,58376287,58412876,58436175,58744900,58934186,58952071,59002687,59027887,59075302,59162901,59177576,59204705,59516767,59520425,59664917,59816337,59909671,60163710,60458224,60463538,60653071,60792468,60944671,61130071,61255567,61290386,61395096,61428727,61529612,61799671,61830127,61861925,61875271,62034516,62042910,62049367,62094710,62226271,62291071,62329087,62331920,62415271,62451127,62500865,62520938,62526393,62642071,62694271,62714647,62761736,62821567,62885071,62911207,63024607,63080997,63192007,63209071,63246367,63261271,63350767,63356705,63382447,63403687,63410167,63423271,63504753,63613185,63984310,64147689,64174624,64191368,64679786,64841132,64996665,65060876,65359118,65390252,66163317,66179104,66416020,66574773,67178553,67854064,68015502,68123852,68286977,68923540,69069483,69103052,69176936,69329776,69566875,69659306,69807478,69971276,70123410,70229380,70296332,70432025,70493880,70553906,70606953,70729292,70935146,71045646,71209925,71424510,71567666,71618596,72196452,72215289,72447146,72720776,72821906,73089400,73274865,74184938,74234310,74451492,74510761,74513652,74775185,74798304,74858613,75001038,75096425,75178201,75193472,75564812,75796798,75884876,75894506,76028046,76186144,76204652,76335822,76618538,76781172,77453585,77824053,77932466,77995998,78003701,78159856,78287786,78481780,78692901,78772065,79183264,79280972,79305615,79597676,79699224,79765256,79914092,80239641,80262574,80335532,80466536,80738738,80853866,81198386,81810873,81997226,82224905,82225575,82371646,82580757,82708248,83194804,83462066,83480250,83573738,83798806,84023536,84129938,84148092,84275256,84518430,84522417,84578150,84592656,84682538,85451910,85505433,85709412,85871276,86181932,86251173,86426666,87284906,87407961,87707280,87730892,87816626,87929838,88350585,88393646,88401201,88449938,89045600,89047077,89081172,89286950,89390186,89557985,89661627,89730222,89735913,90010538,90115710,90152992,90190133,90267604,90524853,90697621,90807212,90983697,91148704,91520876,91639466,91724492,92052905,92300168,92740652,92779413,92816529,92944302,92970724,93034538,93046779,93427946,93554432,93623786,93681416,93682025,93973209,94110866,94178136,94240624,94526478,94738985,94809663,94882706,95159985,95166738,95455538,96123424,96864938,96957746,97135486,98146761,98242501,98308756,98310425,98462200,98592305,98669886,98670690,99068876,99183368,99381250,99973588,...,14510422009555297933413133029091696434666606045596605829698549447793393404102802516118654015162667792003640489277111298403503724724841721578171173999867490987459393603140933745685869538122262652057148868246276213996074567732852783793313474288971925810774169860788491260953290392457704686785076844751819377865134160743528645683743830251026063262201956780489008201629744877883335096166264430256717788493734456779137339607432677200500589143771325603059197221909982989034686763063118811252996166970642427218165075870593400260850475634374354551531582003679304403006558901499726022579105725199039712032636424669705126529899504900690689878855754388869560695653966508530737563662679492262942854039606502425418728214970052076641792125530119876381277718062868274331790762445802383316979973125809980279425647368492931443379418250385348035686809505163966919334766410013578994960869674967879606323146249241310579540731430008848845985595451775919049330244362507172158401141076560025833664252314206635959495312528475032579460312493185906845594954476250547608292124190199420697394851301938176991607625269434684667500070512003906286061215568097063652396207479978890127873278975378168827121091717522945998586572143586912078694459806893190961741671146980506914117638275953611964205009303992404063984631489105042571431079553169864134220236334721811289664387883703190896753016664929631563738905386061142603372827857417406733089968395666628824861010284326221425834673491491736776436241659011045691129318151695510682771616928003283119438479029046870032539705839642946503224950301245193096362215902604077208238292978062269504393045093229123142522370386380015488774738853046051054071486797155262172700934641592636560530063843498898506903766483088135865365651092059448849584832936782993801463167504903078895992822713391885998055715839402968970180098554337693136802819847678256356206594455215951856933046076273535105928730931224093428907416767659260200144678092217537427923369211361151716624648736768050743559524148138553592994052223450032431358861143671690384386248709257225852912459269232653090574266162115496785943972246634245709179592787174037083445073611811707645802208048751937737174690731570450900029710052343821383531110054227613911916356828389430669318155100768044311071033384950675410977039195777147180840575635488184510286920087979788624260736473009499536627755710704348786971768261683251000557845557285984103398611175406278630670827877512241510157706373926331739170393593027096394344458211197004399165829465487903402133536570634437016854380078530244}
15929 16352875691935153882376588167773642038983440196373232722914016630: {127384,143307,334299,397975,477570,509408,573084,620607,875215,906699,1050258,1352095,1559474,1622514,1763679,1828615,1924747,2194338,2227820,2673384,2895074,2939095,2973487,3007557,3182600,3187659,3414415,3526914,3580425,3731095,3819120,4073728,4097298,4135820,4229666,4296510,4477314,4557847,4582944,4889307,4899356,4962984,5068591,5155812,5172159,5374538,5417467,5583357,5989399,6042380,6212599,6463567,6511210,6583179,6895826,6942619,6999080,7160527,7250856,7568876,7813452,7873965,7990615,8157213,8369287,8398896,8462095,8750431,9095372,9109407,9389019,9448758,9557954,9588738,9851180,10031095,10135906,10154514,10292491,10589959,10812680,10814095,11471858,11691645,11821416,11908615,12037314,12164265,12377095,12423634,12471088,12504919,12845215,12901868,12975216,12976914,13004319,13280907,13299093,13543586,13654220,13789916,13918625,14029974,14288959,14290338,14385099,14480347,14597118,14852514,15025015,15180415,15273674,15392168,15414258,15491095,15658666,16385064,16451239,16452716,16702350,16802098,17130459,17143579,17316189,17572687,17815840,17864170,18030018,18216498,18226796,18431240,18433197,18589314,18703106,18856351,18898015,18954991,19003244,19072039,19347980,19699880,19883750,20042820,20125407,20132095,20528588,20594215,20686210,20735145,21032347,21379008,21437004,21487634,21671095,21704865,21978415,21990319,22060027,22117488,22132015,22162365,22556379,22677618,22749067,22808114,22940828,23094219,23151856,23214607,23217576,23501770,23503880,23639856,23860500,23940199,24051384,24158514,24713058,24737095,24823452,24882174,25451200,25600172,25711917,25800488,25839125,25847756,26005314,26038280,26045838,26119773,26188987,26199068,26237659,26374098,26441865,26558418,26569119,26594838,27057807,27219247,27245770,27533947,27681559,27895899,28160607,28202124,28204656,28425099,28632600,29002615,29025549,29282959,29293065,29684514,29761015,30046210,30206107,30337471,30540679,30541440,30609425,30696620,30765847,30821095,30990091,31006950,31245936,31332367,31730238,32055079,32127499,32159336,32211675,32366559,32377399,32577536,32583020,32694924,33042427,33074080,33149019,33387415,33409407,33468716,33669579,33916159,34191079,34359120,34554225,34803138,34992908,35151678,35269879,35342095,35713218,35743179,35792215,36055452,36179253,36380546,36619999,36649728,36731310,36735368,36835944,36857840,36985314,37208340,37214386,37271599,37427240,37437307,37482370,38001704,38071519,38178301,38470999,38571807,38654010,39099624,39180064,39286258,39334210,39603079,39688896,39882626,39890474,40064898,40273615,40458487,41052008,41057119,41220091,41230944,41327289,41440437,41465070,41611015,42056095,42105645,42410514,42494354,42751917,42950658,43241215,43256587,43323368,43617031,43640479,43707404,43727750,43877179,43951210,43987077,44077572,44229408,44273647,44446807,44453839,44619391,44650008,44652639,44730476,44912688,44978844,45456415,45792970,46043287,46183509,46288399,46305391,46384812,46402779,46643707,47185639,47201052,47222095,47503807,47658127,47875519,47897096,48249068,48328338,48404287,48549439,48631639,48738789,49421095,49459759,49460407,49758084,49859815,49892647,49915351,49933218,50117439,50231259,50407099,50444215,50467314,50526774,51205351,51684226,51727519,51733999,51780379,51889458,52039279,52048015,52128674,52378747,52473300,52630015,52741452,52900946,53391547,53501131,53540607,53720709,53884233,54240679,54288106,54400687,54540430,54547698,54717559,54916519,54951564,54958570,55519976,55971520,56137759,56152796,56167447,56400907,56648348,56666514,56869639,56896591,56921439,56974615,56975180,57491314,57758767,57861826,57906716,58091959,58676539,58868745,59010967,59305314,59372306,59564095,59769391,59831778,60291165,60453499,60455119,60529819,60533058,60663554,60692074,60706220,61053919,61141807,61442491,61682145,61913307,61972306,62104519,62140615,62457618,62459973,62469259,62601607,62618888,62738204,62779387,62793328,62800807,62853339,62967960,63156018,63532591,63630679,63900680,63953225,64029787,64204087,64310576,64490079,64748059,64988215,65373967,65448516,65794288,65950284,66142039,66662876,66825487,66936967,67165824,67191464,67506956,67640779,67961739,68037679,68066828,68102095,68369538,68370216,68384215,68389874,68416807,68870145,68927240,68964871,69285356,69473770,69736821,69794599,69966679,70231759,70408219,70446249,70495015,70642494,70838955,71162011,71275210,71476914,71535439,71614898,71766607,71888265,72058087,72317095,72349398,72369717,72744631,72847464,73016095,73228844,73420738,73431125,73461488,73470634,73520594,73601851,73740849,73966376,73971970,74018574,74039498,74388799,74467279,74535807,74568738,75117787,75191119,75428319,75561552,75572780,75590397,75650907,75990585,76194919,76393567,76641007,76680816,76743870,76912015,76916493,77308939,77471666,77543145,77722447,77752834,77798239,77914900,77985858,78188059,78450434,78452170,78520039,78883868,78902359,79371787,79582267,79755116,79845226,79941151,80218280,80239210,80391058,80438107,80762647,80805079,81051415,81056624,81326095,81348091,81439387,81606058,81722514,81737815,81860059,81860128,81953397,81971239,82061058,82067527,82081618,82405869,82460546,82482487,82644174,82712688,82723880,83007458,83020025,83212173,83305407,83321227,83368524,83443231,84107996,84412159,84594018,84673004,84817580,85006746,85154815,85443434,85443807,85530252,86104807,86121499,86154425,86265918,86378815,86471170,86662220,86780514,86785447,87464095,87619314,87674287,87786725,87870415,88117350,88217756,88401279,88411615,88582459,88612953,88766364,88815986,89109007,89523245,89571404,89753551,90245565,90268879,90280879,90687336,90695307,90900970,91085959,91137554,91188702,91361750,91508527,91935579,92092644,92294418,92501239,92538826,92565034,92598946,92777359,93051774,93064365,93142065,93369559,93497880,93781407,93991840,94054399,94116847,94142604,94456015,94624507,94727528,94856095,95048098,95232680,95255815,95568607,95738866,95816059,95976465,96069391,96149551,96261936,96287052,97019679,97140487,97261698,97427767,97591314,97699820,97998946,98038677,98085378,98102225,98979080,98992267,99101215,99268656,99351536,99363634,99497095,99572359,99624030,99706570,99731072,99811484,99858199,99892615,...,21765633014332946900119699543637544651999909068394908744547824171690090106154203774177981022744001688005460733915666947605255587087262582367256760999801236481189090404711400618528804307183393978085723302369414320994111851599279175689970211433457888716161254791182736891429935588686557030177615267127729066797701241115292968525615745376539094893302935170733512302444617316825002644249396645385076682740601685168706009411149015800750883715656988404588795832864974483552030144594678216879494250455963640827247613805890100391275713451561531827297373005518956604509838352249589033868658587798559568048954637004557689794849257351036034818283631583304341043480949762796106345494019238394414281059409753638128092322455078114962688188295179814571916577094302411497686143668703574975469959688714970419138471052739397165069127375578022053530214257745950379002149615020368492441304512451819409484719373861965869311097145013273268978393177663878573995366543760758237601711614840038750496378471309953939242968792712548869190468739778860268392431714375821412438186285299131046092276952907265487411437904152027001250105768005859429091823352145595478594311219968335191809918463067253240681637576284418997879858215380368118041689710339786442612506720470760371176457413930417946307513955988606095976947233657563857146619329754796201330354502082716934496581825554786345129524997394447345608358079091713905059241786126110099634952593499943237291515426489332138752010237237605164654362488516568536693977227543266024157425392004924679157718543570305048809558759464419754837425451867789644543323853906115812357439467093404256589567639843684713783555579570023233162108279569076581107230195732893259051401962388954840795095765248347760355649724632203798048476638089173274377249405174490702194751257354618343989234070087828997083573759104453455270147831506539705204229771517384534309891682823927785399569114410302658893096396836140143361125151488890300217017138326306141885053817041727574936973105152076115339286222207830389491078335175048647038291715507535576579373063885838779368688903848979635861399243173245178915958369951368563769389180761055625167610417717561468703312073127906605762036097355676350044565078515732075296665081341420867874535242584146003977232651152066466606550077426013116465558793665720771260863453232276765430380131969682936391104709514249304941633566056523180457652392524876500836768335928976155097916763109417946006241816268362265236559560889497608755590389540644591516687316795506598748744198231855103200304855951655525281570117795366}
15930 16424574117658584126267719751725036574135375576301310333935279586: {111461,159230,175109,191076,270521,365861,445732,461129,636760,651449,683141,716355,764112,827476,841481,859626,1125989,1208932,1302734,1400344,1492814,1575387,1693061,1787321,2006981,2163352,2194949,2339211,2351572,2433771,2476361,2570021,2784775,2850569,2925784,3006149,3037241,3099401,3130469,3291507,3341730,3564512,3935429,3978250,4010076,4120421,4138814,4212809,4250212,4326734,4342611,4397369,4428101,4702552,4773900,4857509,5092160,5169775,5264174,5290371,5407301,5437769,5463064,5638142,5728680,5893829,5969752,6011534,6045449,6110592,6124195,6145947,6198014,6203730,6344499,6444765,6499109,6519076,6617312,6710201,6715971,6874416,6896212,7071161,7161221,7349034,7401029,7444476,7520741,7552975,7580549,7733718,7759781,8054894,8061807,8414501,8562761,8740409,8748850,8769989,8777572,8793614,9063570,9183269,9212729,9448121,9461095,9653669,9667808,9766815,9800249,9829541,9975881,10063589,10092809,10343739,10417936,10498620,10813214,10876284,10912202,11178542,11198528,11283941,11353314,11369215,11485961,11658809,11720178,12145876,12232889,12313975,12433061,12452654,12518692,12518729,12598344,12661349,12784984,12860681,12917561,13201481,13358414,13468147,13515850,13539352,13643058,14173137,14188901,14260574,14336931,14383107,14440574,14692901,14776770,14804549,15203859,15231771,15388601,15471749,15588860,15637829,15761888,15776009,15803621,16049752,16127335,16134341,16219020,16354181,16436489,16546121,17010629,17067775,17174021,17207787,17237395,17282789,17300288,17302552,17339092,17478542,17581241,17707876,17732124,17851721,17905721,18055971,18094469,18364142,18635451,18706632,18711881,18898949,18979001,19032329,19053784,19058981,19180132,19240210,19352802,19462824,19465371,19597934,19803352,19907621,19986761,20092169,20124542,20257874,20315379,20481330,20552344,20565895,20684874,20695781,21009029,21044961,21348254,21398969,21424901,21435507,21554441,21632069,21787109,21846752,21895677,21941861,22199141,22269800,22278771,22575427,22711301,22783495,22840612,22910511,23017061,23039050,23042489,23088252,23121387,23270981,23397641,23487999,23754055,24040024,24118814,24184975,24288664,24303689,24478661,24577596,24603401,24624850,24679074,24785752,24805694,24852281,24977054,25053525,25149881,25203147,25273541,25660735,25717061,26011301,26328761,26401829,26669129,26723760,26796255,26833876,27032069,27045027,27056201,27324747,27340194,27360974,27646860,27824201,27848069,27883971,28054659,28062521,28139419,28181381,28205129,28489481,28504866,28505344,28582672,28676035,28913849,28939820,29021970,29031269,29046494,29214254,29379850,29405669,29489984,29522249,29549820,29825625,29963429,30064230,30075172,30236824,30286661,30447689,30631241,30654149,30699941,30717614,30791429,30792292,30792882,30956768,31029315,31133369,31216142,31315001,31473509,31519808,31547774,31721801,31789349,31814000,32000215,32068512,32143447,32155506,32211352,32215481,32231451,32250610,32309695,32394041,32539214,32547850,32660921,32748835,32950744,33097936,33176232,33213221,33251491,33279161,33912869,34016427,34108169,34212171,34282556,34411242,34561349,34582841,34673752,34727784,34826364,34832414,34840121,34882889,34995134,35011001,35165464,35252655,35255820,35330021,35411224,35414789,35425492,35459784,35605049,35790750,35836709,35857721,35920507,36077076,36130142,36237771,36276281,36422021,36528811,36794981,36936542,37069587,37144841,37194532,37235178,37323261,37547476,37602832,37606208,37655141,37739342,37756601,37900132,37907947,38059454,38059781,38176800,38219294,38361161,38370775,38400258,38421221,38501189,38626159,38700732,38771634,38899109,38978309,39007971,39017861,39057420,39068757,39156041,39195449,39298602,39561147,39579352,39665849,39809774,39837627,39860489,39892257,39976889,40199170,40420421,40611941,40650149,40721920,40728775,40821689,40868655,40897721,40914542,41294789,41342600,41407589,41661248,41699342,41835895,41855909,41909959,41948729,42115301,42244409,42303186,42306984,42501449,42519749,42720521,42792014,42902201,42948900,43119161,43155412,43164979,43593232,43656521,43741135,43763129,43851749,44010761,44198692,44239301,44449061,44526771,44545876,44802542,44892772,45054281,45069315,45174149,45412709,45480581,45531401,45643351,45812160,45818021,45834809,45875054,45919210,46027694,46044930,46072300,46268489,46285061,46367801,46404184,46510425,46762169,46784050,46827449,46868904,47071109,47103461,47264741,47502130,47595357,47617624,47632649,47657572,47743781,47775461,47886089,47933381,48073936,48239004,48433349,48495269,48579979,48726329,48866304,48874530,48900494,48909881,48975080,49042386,49114592,49313752,49348709,49483529,49498469,49573049,49611120,49662281,49810361,49987001,50203074,50278841,51022649,51064901,51177221,51315010,51316901,51386441,51429076,51483461,51538680,51566309,51758501,51854009,52015214,52132832,52204707,52405541,52458629,52489362,52498361,52601294,52603961,52643429,52722149,52727517,52747454,52918528,52995401,53162789,53417669,53419864,53506121,53531321,53569827,53806409,53868389,54056414,54065381,54083178,54154210,54272441,54308741,54357029,54393161,54489161,54570819,54608441,54634255,54774089,54791527,54879749,54944162,54974592,55096965,55100681,55103052,55227269,55253916,55286760,55477971,55640414,55779401,55812510,55821579,55913095,56140860,56194361,56223555,56226629,56271754,56354654,56354981,56461061,56513801,56547352,56856869,56948921,57002556,57020069,57080741,57221189,57251081,57267544,57348542,57369929,57379781,57516869,57570002,57719561,57772334,57981015,58040249,58054142,58114361,58123589,58233701,58477241,58530569,58649436,58662629,58714949,58756142,58770096,58792531,58870181,58921349,58929387,58972229,58972544,59001315,59014409,59048009,59271461,59504969,59533344,59536852,59554627,59607461,59693129,59747141,59762501,59823939,59835711,59861561,59871370,59883584,59884229,59929349,59966729,59971792,60011321,60097347,60121541,60194021,60311335,60315401,60364709,60564494,60564809,60625541,60665669,60672329,60705509,60725321,60764729,60810341,60925829,60982601,61149029,61203209,61253534,61268549,61447481,61525769,61578012,61597061,61629509,61677641,61719881,61729447,61771961,61813049,61818149,61846416,61848581,61863689,61870372,62034629,62067641,62090981,62146181,62197605,62226821,62244389,62342921,62429189,62433209,62445221,62504201,62511929,62591141,62638409,62708489,62738981,62778629,62820281,62845241,62872709,62892542,62911241,62934281,62934736,62976101,63008261,63026489,63039269,63041801,63061769,63063451,63114041,63140921,63212741,63224069,63231461,63261449,63278009,63290681,63334949,63337541,63363941,63370469,63398789,63422729,63425849,63433481,63439109,63440441,63615771,63741531,63839054,64278802,64425987,64437784,64720579,64985052,65367346,65561106,65591625,65841919,65843534,65926815,66116358,66240542,66344112,66577624,66636254,66684319,66823252,66975012,67095714,67289752,67369032,67468266,67815614,68689455,69112334,69185944,69399970,69577218,69816266,69964400,70190995,70321936,70801578,70810435,70924546,71157134,71218975,71387476,71410142,71627612,71662574,71845644,72291134,72373602,72383395,72492507,72730264,73040654,73048426,73268752,73537454,73908542,74637126,74899827,75136142,75555352,75700971,75790161,75882775,75895252,76107854,76320739,76950542,77242594,77526339,77786174,77834187,78193011,78273610,78422755,78491660,78709950,79073752,79112178,79351419,79775704,79875850,79902542,80250734,80388220,80702791,80710744,81432159,81810645,81821547,82242860,82427346,82437855,82538894,82551076,82886587,83276824,83279964,83328595,83804452,83957280,83989330,84208024,84229194,84383695,84438542,84972522,84989342,84999771,85083535,85462770,85986772,86080142,86159050,86236971,86606695,86792739,86835134,86860074,86932594,87180607,87264688,87476654,87501211,87933712,88429214,88699387,88957971,89058459,89554432,89578034,89747667,89784542,90093854,90504254,90615652,90799587,90995331,91038111,91059330,91159384,91160288,91536055,91620974,91822142,91826860,92457970,92521694,92958459,92982428,93686427,93928332,94094174,94107306,94189992,94451940,94465975,94578014,94734027,95249342,95302552,95439854,95724542,95851020,96465864,96492956,97129952,97393625,97405454,97589342,98172774,98321132,98604835,98680574,98691432,98925426,98950142,99381076,99424984,99574094,99693895,99994314,...,32648449521499420350179549315456316977999863602592363116821736257535135159231305661266971534116002532008191100873500421407883380630893873550885141499701854721783635607067100927793206460775090967128584953554121481491167777398918763534955317150186833074241882186774105337144903383029835545266422900691593600196551861672939452788423618064808642339954402756100268453666925975237503966374094968077615024110902527753059014116723523701126325573485482606883193749297461725328045216892017325319241375683945461240871420708835150586913570177342297740946059508278434906764757528374383550802987881697839352073431955506836534692273886026554052227425447374956511565221424644194159518241028857591621421589114630457192138483682617172444032282442769721857874865641453617246529215503055362463204939533072455628707706579109095747603691063367033080295321386618925568503224422530552738661956768677729114227079060792948803966645717519909903467589766495817860993049815641137356402567422260058125744567706964930908864453189068823303785703109668290402588647571563732118657279427948696569138415429360898231117156856228040501875158652008789143637735028218393217891466829952502787714877694600879861022456364426628496819787323070552177062534565509679663918760080706140556764686120895626919461270933982909143965420850486345785719928994632194301995531753124075401744872738332179517694287496091671018412537118637570857588862679189165149452428890249914855937273139733998208128015355856407746981543732774852805040965841314899036236138088007387018736577815355457573214338139196629632256138177801684466814985780859173718536159200640106384884351459765527070675333369355034849743162419353614871660845293599339888577102943583432261192643647872521640533474586948305697072714957133759911565874107761736053292126886031927515983851105131743495625360638656680182905221747259809557806344657276076801464837524235891678099353671615453988339644595254210215041687727233335450325525707489459212827580725562591362405459657728114173008929333311745584236617502762572970557437573261303364869059595828758169053033355773469453792098864759867768373937554927052845654083771141583437751415626576342203054968109691859908643054146033514525066847617773598112944997622012131301811802863876219005965848976728099699909825116139019674698338190498581156891295179848415148145570197954524404586657064271373957412450349084784770686478588787314751255152503893464232646875144664126919009362724402543397854839341334246413133385584310966887275030975193259898123116297347782654800457283927483287922355176693049}
15931 16496584445777916803060478564996124681648182716705664011105303760: {238845,254768,286614,557165,668598,795950,955140,1018816,1034345,1146168,1225301,1241214,1289439,1511165,1750430,1813398,1892933,1954101,2100516,2239221,2274701,2560061,2704190,2939465,3118948,3245028,3323309,3514121,3527358,3657230,3849494,4114733,4388676,4455640,4780181,5012595,5223533,5312765,5346768,5418149,5790148,5878190,5946974,5967375,5990153,6015114,6208221,6365200,6375318,6402461,6490101,6828830,6943493,7053828,7160850,7462190,7509821,7638240,7638761,7896261,8147456,8148845,8194596,8271640,8457213,8459332,8462441,8593020,8620265,8954628,9017301,9115694,9165888,9297021,9305595,9353909,9778614,9798712,9925968,9986633,10137182,10311624,10344318,10641389,10749076,10834934,10971965,11023551,11166714,11186861,11320301,11600577,11846933,11978798,12082341,12084760,12163853,12425198,12927134,13022420,13123275,13166358,13190421,13595355,13791652,13885238,13998160,14043533,14321054,14501712,15137752,15139733,15182345,15626904,15648365,15747930,15970013,15981230,16219821,16314426,16368303,16672061,16738574,16767813,16797792,16883141,16924190,17029971,17327933,17500862,17580267,17920661,17983301,18190744,18218814,18678981,18778038,18897516,19115908,19177476,19486075,19702360,19776173,20037621,20062190,20156789,20271812,20273775,20309028,20464587,20584982,20767721,21035021,21179918,21252581,21390861,21625360,21628190,21660861,21673865,21687533,22134845,22165155,22401353,22943716,23383290,23642832,23817230,23975165,24074628,24328530,24754190,24847268,24942176,25009838,25690430,25803736,25950432,25953828,26008638,26070941,26082233,26217813,26457221,26561814,26598186,26756693,26885261,27087172,27308440,27546213,27579832,27837250,28059948,28184933,28550765,28577918,28580676,28770198,28831901,28860315,28960694,29029203,29194236,29396901,29705028,30050030,30186813,30339533,30360830,30386811,30547348,30721995,30769781,30784336,30828516,30938213,30950621,30982190,30984821,31027311,31317332,31336349,32022381,32168201,32728013,32770128,32902478,32905432,33388421,33404700,33542345,33604196,34084133,34260918,34287158,34558575,34631933,34632378,35145374,35631680,35728340,36060036,36174775,36178221,36250493,36432996,36453592,36624653,36862480,36866394,36937275,37018611,37029161,37178628,37208541,37406212,37465581,37593965,37712702,37796030,37909982,38006488,38144078,38490365,38695960,39050141,39399760,39767500,40085640,40250814,40264190,40603661,40697141,41010291,41041461,41057176,41188430,41372420,41470290,41565029,41567021,41656493,41665421,42064694,42757299,42758016,42853195,42874008,42975268,43149533,43342190,43409730,43465781,43532955,43569741,43821381,43956830,43980638,44069775,44120054,44234976,44264030,44281865,44324730,45096345,45112758,45218309,45355236,45364541,45498134,45616228,45881656,46076421,46188438,46189323,46303712,46429214,46435152,46493165,46649669,46742381,46824213,46934345,47003540,47007760,47279712,47321661,47340281,47375165,47519621,47664221,47721000,47880398,48102768,48233259,48289301,48317028,48375915,48410441,48714653,48774653,48808821,48821775,49426116,49474190,49478933,49646904,49764348,49807733,50109101,50439821,50902400,51121421,51136361,51200344,51423834,51600976,51616863,51678250,51695512,51734093,52010628,52076560,52091676,52239546,52248621,52323401,52377974,52398136,52475318,52492701,52748196,52883730,53116836,53138238,53189676,53357789,53507933,53686125,53703173,53734901,53944265,54098909,54115614,54195213,54438494,54491540,54724553,55067894,55124381,55248365,55301861,55363118,55404813,55682345,55791798,55852767,56115965,56321214,56323241,56383061,56404248,56409312,56609013,56695433,56850198,57089181,57265200,57328941,57590375,57600387,57766181,58005230,58051098,58157451,58255421,58565918,58586130,58825289,58878533,58947903,59369028,59522030,59571965,59714661,60092420,60179501,60298755,60412214,60537701,60674942,61081358,61082880,61218850,61371813,61393240,61531694,61642190,61980182,62013900,62098301,62491872,62500733,62549013,62664734,63099101,63454779,63460476,63638981,64110158,64188021,64254998,64286345,64291721,64318672,64423350,64586861,64733118,64754798,64790429,65155072,65166040,65389848,65471501,65864261,66084854,66110933,66148160,66298038,66668501,66774830,66818814,66937432,67203813,67339158,67832318,67914149,68236733,68260361,68382158,68562941,68718240,68812581,68878815,69041541,69067395,69108450,69189533,69410933,69606276,69783989,69803741,69985816,70176075,70303356,70344041,70539758,70621901,70636553,70684190,70912733,71253195,71426436,71486358,71584430,71757509,71972933,72067301,72110904,72358506,72613853,72761092,72867221,73239998,73299456,73311795,73350741,73462620,73470736,73563579,73671888,73682021,73715680,73721069,73970628,74089133,74193821,74398253,74416680,74421065,74428772,74543198,74687309,74854480,74874614,74964740,75304611,76003408,76096829,76143038,76356602,76941998,76972515,77143614,77233781,77308020,77337965,78022821,78198053,78199248,78360128,78572516,78668420,78734043,78901941,79121181,79206158,79377792,79519061,79764461,79765252,79780948,79929581,79951373,80129796,80535509,80547230,80916974,81084621,81124767,81231315,81449741,81452933,81824021,82104016,82114238,82416243,82440182,82461888,82581293,82654578,82880874,82930140,83012921,83222030,83389733,83460621,83529065,83718765,84037133,84112190,84211290,84343901,84407631,84531981,84815081,84821028,84988708,85503834,85901316,86022813,86070821,86355003,86482430,86513174,86646736,86658501,86842181,86950973,86996861,87081213,87234062,87280958,87414808,87455500,87685541,87754358,87902420,87974154,88134213,88155144,88458816,88547294,88893614,88907678,89234345,89238782,89300016,89305278,89460952,89534515,89807055,89825376,89957688,90846741,90912830,90983501,91416233,91585940,91853801,91880301,92086574,92186309,92367018,92499341,92576798,92610782,92769624,92805558,93287414,93328841,93803021,94131773,94338813,94371278,94402104,94444190,94869065,94873661,95007614,95316254,95342933,95737901,95751038,95758581,95794192,96138653,96407069,96418203,96498136,96656676,96808574,97098878,97177133,97263278,97440149,97477578,97988909,98051019,98114575,98341659,98439293,98470541,98545481,98693021,98765301,98842190,98919518,98920814,99064061,99174537,99360813,99516168,99719630,99785294,99830702,99866436,99954381,...,43531266028665893800239399087275089303999818136789817489095648343380180212308407548355962045488003376010921467831333895210511174174525164734513521999602472962378180809422801237057608614366787956171446604738828641988223703198558351379940422866915777432322509582365473782859871177373114060355230534255458133595402482230585937051231490753078189786605870341467024604889234633650005288498793290770153365481203370337412018822298031601501767431313976809177591665729948967104060289189356433758988500911927281654495227611780200782551426903123063654594746011037913209019676704499178067737317175597119136097909274009115379589698514702072069636567263166608682086961899525592212690988038476788828562118819507276256184644910156229925376376590359629143833154188604822995372287337407149950939919377429940838276942105478794330138254751156044107060428515491900758004299230040736984882609024903638818969438747723931738622194290026546537956786355327757147990733087521516475203423229680077500992756942619907878485937585425097738380937479557720536784863428751642824876372570598262092184553905814530974822875808304054002500211536011718858183646704291190957188622439936670383619836926134506481363275152568837995759716430760736236083379420679572885225013440941520742352914827860835892615027911977212191953894467315127714293238659509592402660709004165433868993163651109572690259049994788894691216716158183427810118483572252220199269905186999886474583030852978664277504020474475210329308724977033137073387954455086532048314850784009849358315437087140610097619117518928839509674850903735579289086647707812231624714878934186808513179135279687369427567111159140046466324216559138153162214460391465786518102803924777909681590191530496695520711299449264407596096953276178346548754498810348981404389502514709236687978468140175657994167147518208906910540295663013079410408459543034769068619783365647855570799138228820605317786192793672280286722250302977780600434034276652612283770107634083455149873946210304152230678572444415660778982156670350097294076583431015071153158746127771677558737377807697959271722798486346490357831916739902737127538778361522111250335220835435122937406624146255813211524072194711352700089130157031464150593330162682841735749070485168292007954465302304132933213100154852026232931117587331441542521726906464553530860760263939365872782209419028498609883267132113046360915304785049753001673536671857952310195833526218835892012483632536724530473119121778995217511180779081289183033374633591013197497488396463710206400609711903311050563140235590732}
15932 16568908022518349944932987981441976734109957384960419195000933453: {206947,222922,302347,318460,350218,382152,429921,492931,541042,683227,731722,891464,922258,1002897,1157707,1193925,1273520,1302898,1366282,1432710,1528224,1654952,1682962,1719252,1724707,1861821,2251978,2417864,2605468,2625645,2720097,2800688,2985628,3037627,3130867,3150774,3386122,3574642,3898685,4013962,4056285,4244131,4326704,4389898,4428667,4678422,4703144,4867542,4888747,4952722,5140042,5163931,5291037,5438467,5485845,5569550,5701138,5774241,5803507,5851568,6012298,6074482,6198802,6260938,6530131,6583014,6683460,6801427,7129024,7237685,7870858,7956500,8020152,8240842,8277628,8326531,8425618,8500424,8573873,8653468,8685222,8771131,8794738,8817285,8856202,8920461,9022671,9213931,9390547,9405104,9478747,9547800,9562977,9715018,9830827,10094131,10184320,10243245,10269307,10339550,10528348,10531531,10574165,10580742,10741275,10814602,10875538,10926128,11140867,11193285,11227627,11276284,11457360,11787658,11939504,12023068,12090898,12221184,12248390,12263131,12291894,12396028,12407460,12688998,12889530,12947707,12998218,13038152,13234624,13245533,13420402,13431942,13436345,13673541,13748832,13792424,13796947,14142322,14322442,14667921,14698068,14802058,14888952,15041482,15057307,15105950,15161098,15205773,15467436,15516477,15519562,15805747,15916901,16109788,16123614,16252401,16278025,16750071,16829002,17040187,17125522,17239565,17480818,17497700,17539978,17555144,17587228,17691931,17968197,18127140,18339067,18366538,18425458,18637797,18741187,18896242,18922190,19061587,19307338,19335616,19390701,19533630,19600498,19659082,19749537,19951762,20094931,20127178,20185618,20331667,20687478,20724787,20827857,20835872,20997240,21037987,21272131,21427867,21481581,21626428,21752568,21824404,22047931,22202227,22357084,22397056,22567882,22578269,22706628,22738430,22971922,23045707,23317618,23440356,23621895,23894885,23971845,24132353,24291752,24465778,24471639,24627950,24866122,24905308,24930307,25037384,25037458,25107861,25196688,25227667,25301827,25322698,25339765,25386285,25569968,25721362,25835122,26186131,26251293,26402962,26716828,26936294,27031700,27060067,27078704,27286116,27328221,27852067,27995131,28167057,28209187,28346274,28377802,28493587,28521148,28673862,28679645,28766214,28792253,28881148,29385802,29549827,29553540,29609098,30093285,30244987,30407718,30452131,30463542,30658627,30777202,30795931,30877473,30943498,31059085,31177720,31275658,31523776,31552018,31607242,31769877,31816531,31896893,32099504,32254670,32268682,32438040,32442285,32708362,32872978,33092242,33255677,33809131,33858965,34021258,34134931,34135550,34348042,34415574,34474790,34565578,34588027,34600576,34605104,34678184,34957084,35074935,35162482,35415752,35464248,35547067,35703442,35725845,35811442,35863147,35925029,36111942,36188938,36240067,36492795,36728284,37109467,37131285,37270902,37413264,37423762,37514757,37797898,37958002,38064658,38107568,38117962,38184185,38326987,38360264,38480420,38535645,38705604,38925648,38930742,39012957,39146665,39195868,39574387,39606704,39815242,39842721,39866707,39897279,39973522,40146449,40184338,40249084,40445947,40515748,40630758,40962660,41017987,41104688,41131790,41369748,41391562,41755875,41806747,41862547,41973931,42005245,42018058,42085027,42089922,42526531,42696508,42797938,42849802,42866877,42871014,43108882,43155297,43170413,43264138,43441041,43503067,43574218,43610131,43693504,43791354,43876531,43883722,44035507,44213521,44398282,44539600,44557542,44660425,44664931,44768827,44800301,45075045,45150854,45181531,45233573,45422602,45541245,45566990,45649097,45681224,45821022,45842347,45848369,46034122,46078100,46084978,46176504,46242774,46292707,46473285,46541962,46757765,46795282,46835227,46975998,47508110,48080048,48237628,48369950,48457027,48503467,48577328,48596131,48607378,48918187,48957322,49155192,49206802,49249700,49281931,49353717,49358148,49506931,49571504,49596427,49611388,49704562,49709375,49954108,50107050,50299762,50302027,50406294,50504773,50547082,51013157,51031531,51321470,51391377,51430737,51434122,51715525,51781267,51948567,52022602,52147387,52268131,52657522,52718061,52803658,53172307,53325667,53338258,53439931,53447520,53515747,53592510,53667752,53719085,53816131,54064138,54090054,54112402,54618427,54649494,54680388,54721948,54795907,55248931,55293720,55299591,55648402,55689787,55696138,55726429,55767942,55856107,56109318,56125042,56247931,56278838,56362762,56410258,56569053,56694045,56864973,56969947,56978962,57009732,57010688,57020285,57030931,57165344,57216117,57271987,57352070,57390787,57682747,57827698,57879640,58043940,58062538,58092988,58134907,58272427,58428508,58570253,58726531,58754425,58759700,58811338,58856131,58933027,58979968,59044498,59099640,59283307,59651250,59873707,59926858,60053131,60128460,60150344,60162931,60206347,60334867,60376221,60377131,60396285,60473648,60573322,60584131,60684931,60895378,61070131,61216147,61237589,61262482,61308298,61392187,61399882,61435228,61582858,61584584,61585764,61782645,61831531,61913536,61936867,62052931,62058630,62150707,62164387,62191531,62205435,62266738,62284267,62432284,62447131,62506531,62597827,62630002,62652547,62756587,62890147,62899147,62934427,62947018,63025507,63039616,63056467,63078931,63095548,63097041,63100747,63128827,63149131,63229627,63325387,63338131,63350227,63368947,63385867,63398107,63406531,63411787,63443602,63448507,63449587,63578698,63628000,64000430,64137024,64286894,64311012,64422704,64430962,64462902,64501220,64619390,64788082,65013285,65078428,65095700,65114595,65321842,65497670,65901488,65935245,65970957,66180081,66195872,66352464,66396045,66426442,66487095,66502982,66558322,67669137,67825738,68032854,68114425,68216338,68247201,68304181,68424342,68565112,68822484,69122698,69165682,69282657,69347504,69455568,69643821,69652728,69664828,69680242,69765778,69990268,70022002,70330928,70382741,70505310,70511640,70660042,70822448,70829578,70850984,70919568,71210098,71581500,71673418,71715442,71820597,71841014,72154152,72260284,72475542,72552562,72844042,73057622,73589962,73873084,74139174,74211285,74289682,74389064,74470356,74529533,74646522,75094952,75115525,75205664,75212416,75310282,75478684,75513202,75800264,75815894,76118908,76119562,76353600,76438588,76487957,76722322,76741550,76800516,76842442,77002378,77135751,77252318,77401464,77517375,77543268,77798218,77813177,77956618,78015942,78023353,78035722,78114840,78137514,78278333,78312082,78359319,78390898,78566961,78597204,78712977,79122294,79158704,79325595,79331698,79619548,79675254,79707357,79720978,79784514,79953778,80398340,80840842,81173421,81223882,81300298,81443840,81457550,81643378,81657741,81737310,81795442,81829084,82589578,82601841,82685200,82815178,83044677,83322496,83398684,83671790,83687697,83711818,83819918,83897458,84230602,84435869,84481821,84488818,84606372,84613968,85002898,85039498,85275297,85441042,85584028,85804402,85897800,86238322,86310824,86329958,87007845,87076647,87186464,87313042,87482270,87526258,87703498,87848877,87879195,88021522,88397384,88478602,88898122,89053542,89091752,89283045,89605084,89785544,90108562,90138630,90197237,90348298,90618321,90825418,90951365,90961162,91012413,91062802,91286702,91622037,91624320,91636042,91669618,91750108,91828275,91838420,92055388,92089860,92144600,92297541,92463285,92536978,92570122,92735602,92808368,92970273,93020850,93035965,93524338,93568100,93654898,93705925,93737808,93997101,94142218,94206922,94529482,95004260,95190714,95235248,95265298,95315144,95487562,95550922,95772178,95866762,96147872,96165237,96382497,96478008,96635025,96866698,96990538,97099677,97132197,97159958,97437149,97452658,97732608,97749060,97800988,97819762,97950160,98084772,98215645,98229184,98267393,98335525,98627504,98697418,98967058,98996938,99127281,99134609,99146098,99222240,99324562,99447057,99620722,99706565,99726185,99974002,...,65296899042998840700359098630912633955999727205184726233643472515070270318462611322533943068232005064016382201747000842815766761261787747101770282999403709443567271214134201855586412921550181934257169907108242962982335554797837527069910634300373666148483764373548210674289806766059671090532845801383187200393103723345878905576847236129617284679908805512200536907333851950475007932748189936155230048221805055506118028233447047402252651146970965213766387498594923450656090433784034650638482751367890922481742841417670301173827140354684595481892119016556869813529515056748767101605975763395678704146863911013673069384547772053108104454850894749913023130442849288388319036482057715183242843178229260914384276967365234344888064564885539443715749731282907234493058431006110724926409879066144911257415413158218191495207382126734066160590642773237851137006448845061105477323913537355458228454158121585897607933291435039819806935179532991635721986099631282274712805134844520116251489135413929861817728906378137646607571406219336580805177295143127464237314558855897393138276830858721796462234313712456081003750317304017578287275470056436786435782933659905005575429755389201759722044912728853256993639574646141104354125069131019359327837520161412281113529372241791253838922541867965818287930841700972691571439857989264388603991063506248150803489745476664359035388574992183342036825074237275141715177725358378330298904857780499829711874546279467996416256030711712815493963087465549705610081931682629798072472276176014774037473155630710915146428676278393259264512276355603368933629971561718347437072318401280212769768702919531054141350666738710069699486324838707229743321690587198679777154205887166864522385287295745043281066949173896611394145429914267519823131748215523472106584253772063855031967702210263486991250721277313360365810443494519619115612689314552153602929675048471783356198707343230907976679289190508420430083375454466670900651051414978918425655161451125182724810919315456228346017858666623491168473235005525145941114875146522606729738119191657516338106066711546938907584197729519735536747875109854105691308167542283166875502831253152684406109936219383719817286108292067029050133695235547196225889995244024262603623605727752438011931697953456199399819650232278039349396676380997162313782590359696830296291140395909048809173314128542747914824900698169569541372957177574629502510305007786928465293750289328253838018725448805086795709678682668492826266771168621933774550061950386519796246232594695565309600914567854966575844710353386098}
15933 16641546199870132045942138016622706096639454389758978678031574223: {334383,398075,477690,509536,525327,573228,780031,811563,1097583,1114330,1337196,1383387,1448083,1591900,1910280,1954347,2037632,2049423,2068690,2115631,2149065,2292336,2450602,2482428,2524443,2578878,2688283,3022330,3256835,3377967,3500860,3626796,3732035,3785866,3908202,3927547,4115251,4201032,4478442,4549402,4726161,5079183,5120122,5361963,5408380,5878930,6020943,6237896,6403267,6490056,6584847,6646618,7017633,7028242,7054716,7162331,7301313,7314460,7429083,7437871,7698988,7710063,7832291,8229466,8354325,8404223,8551707,8777352,8875243,8911280,9018447,9111723,9298203,9391407,9560362,9874521,9945625,10025190,10347035,10447066,10592627,10625530,10693536,10816835,10836298,11161531,11408383,11580296,11756380,11806287,11893948,11934750,11980306,12030228,12068371,12361263,12416442,12576187,12638427,12730400,12750636,12804922,12980202,13027833,13160435,13192107,13284303,13657660,13886986,14095355,14107656,14321700,14572527,14924380,15019642,15028835,15276480,15277522,15360751,15495035,15509325,15792522,15871113,16221903,16294912,16297690,16313307,16389192,16543280,16914426,16918664,16924882,17186040,17240530,17681487,17909256,18034602,18136347,18231388,18331776,18372585,18437841,18594042,18611190,18707818,19033497,19334295,19497327,19557228,19597424,19650587,19851936,19952803,19973266,20130603,20137235,20147913,20274364,20623248,20688636,21140047,21178963,21213483,21255283,21282778,21483663,21498152,21669868,21710971,21872125,21907711,21943930,21984035,22047102,22203087,22333428,22373722,22562223,22640602,22658925,22741647,22754831,23201154,23279343,23693866,23957596,24164682,24169520,24185421,24327706,24850396,25243503,25688283,25851947,25854268,26044840,26221227,26246550,26309967,26332716,26380842,27033035,27190710,27280505,27549807,27583304,27638187,27770476,27946355,27996320,28087066,28344363,28383285,28642108,28756571,28961007,29003424,29150731,29300445,29400747,29488623,29927643,29970347,30190767,30275504,30278427,30279466,30343411,30357563,30364690,30988783,31031217,31131635,31253808,31296730,31495860,31940026,31962460,32439642,32628852,32736606,33050831,33344122,33396035,33477148,33535626,33565231,33595584,33766282,33789625,33848380,33851823,34059942,34107645,34457883,34655866,34976427,35001724,35160534,35651435,35841322,35966602,36101435,36381488,36437628,36698667,36724307,36941925,37033867,37299183,37357962,37556076,37556187,37795032,37984047,38094031,38231816,38354952,38582043,38750527,38752683,38891183,38972150,39404720,39459043,39552346,39604443,39937811,39971071,40075242,40124380,40313578,40404441,40543624,40547550,40618056,40929174,41056403,41169964,41230607,41535442,42070042,42359836,42505162,42519411,42566703,42737923,42781722,43010793,43149321,43250720,43256380,43267631,43321722,43347730,43375066,43696355,44078703,44269690,44330310,44413647,44711411,44802706,45586063,45611577,45695313,45887432,45910355,46165803,46233091,46286987,46415247,46766580,46913487,46959283,47285664,47328027,47410863,47634460,47887691,47950330,48100525,48149256,48346331,48382005,48403023,48657060,48994835,49018091,49062543,49122307,49309467,49508380,49638363,49649563,49694536,49700723,49884352,50019676,50311355,50372267,50644685,51031887,51203325,51380860,51522063,51607472,51623361,51712185,51747107,51848367,51900864,51907656,52017276,52141882,52164466,52435626,52631551,52743723,52914442,53123628,53196372,53370635,53513386,53555163,53717163,53770522,53798027,53886511,54012947,54105787,54167913,54174344,54283407,54616880,55092426,55131427,55159664,55674500,55906353,56119896,56135643,56330443,56369866,56696847,56937003,57096987,57101530,57155836,57161352,57176943,57540396,57597625,57663802,57665147,57720630,57921388,58058406,58388472,58396113,58793802,59410056,59489267,59722863,59921627,59960283,59994473,60100060,60276507,60297035,60373626,60454427,60679066,60721660,60773622,60946137,61094696,61443990,61539562,61562125,61568672,61647503,61657032,61697685,61876426,61901242,61964380,61969642,61994611,62014235,62054622,62087343,62120363,62442635,62617523,62634664,62642291,62672698,63027087,63134883,63504883,63668971,64044762,64196907,64274703,64306521,64336402,64663323,64764527,64896207,65090431,65361327,65390531,65456026,65540256,65687031,65708083,65804956,65810864,65825583,66078851,66198767,66325231,66597423,66776842,66809400,66836313,67084690,67208392,67726281,68133903,68168266,68269123,68350485,68402435,68521836,68574316,68731533,69051183,69117150,69127467,69263866,69264756,69364161,69491003,69812943,69920623,70192923,70290748,70463997,71262165,71263360,71456680,71553731,72120072,72349550,72356442,72500986,72554925,72616235,72865992,72907184,72911067,73035635,73249306,73435983,73449625,73724960,73732788,73810203,73874550,74037222,74058322,74357256,74417082,74486147,74556843,74812424,74931162,75160575,75187930,75425404,75449643,75521971,75592060,75609441,75819964,75820623,76012976,76214291,76288156,76421147,76570507,76794035,76980730,76982205,77151183,77328527,77347711,77391920,77955283,78033903,78040355,78100282,78402731,78562351,78799520,78869435,78922427,78986283,79205487,79529167,79535000,79602431,80007387,80171280,80388765,80501628,80528380,80545807,80626525,81096207,81135081,81168603,81207322,81348035,81369167,81369625,81394282,81880943,81974241,82020582,82082922,82114352,82376860,82471987,82744840,82940580,83130058,83134042,83312986,83330842,83400751,83472603,83544207,83560591,83651913,83770403,84128923,84129388,84163977,84187563,84418257,84544143,84615387,84652331,85468443,85514598,85516032,85706390,85748016,85950536,86028105,86143487,86297387,86299066,86684380,86741547,86819460,86931562,87065910,87081035,87093807,87139482,87487835,87642762,87913660,87961276,88139550,88217007,88240108,88263131,88469952,88528060,88563730,88566747,88649460,89448683,89476875,89890287,90000883,90192690,90225516,90325355,90436618,90710472,90729082,90859983,90996268,91035631,91232456,91343067,91427851,91763312,91841531,91893723,91962447,92099823,92152842,92341355,92374287,92376876,92378646,92607424,92779147,92858428,92870304,92986330,93087945,93299338,93400107,93484762,93648426,93868690,93945003,93991307,94007080,94015520,94348355,94420527,94428563,94559424,94643322,94648703,94680562,94750330,94885723,95039242,95118287,95148635,95165403,95328442,95368047,95442000,95548235,95760796,96000645,96205536,96430341,96466518,96578602,96634056,96646443,96694353,96751830,96770867,96820882,96929085,97182123,97429306,97549306,97617642,97643550,97982763,98001487,98246505,98852232,98948380,98957866,99293808,99524435,99528696,99537071,99615466,99639663,99669587,99754473,99837483,99991067,...,97945348564498261050538647946368950933999590807777089350465208772605405477693916983800914602348007596024573302620501264223650141892681620652655424499105564165350906821201302783379619382325272901385754860662364444473503332196756290604865951450560499222725646560322316011434710149089506635799268702074780800589655585018818358365270854194425927019863208268300805361000777925712511899122284904232845072332707583259177042350170571103378976720456447820649581247892385175984135650676051975957724127051836383722614262126505451760740710532026893222838178524835304720294272585123150652408963645093518056220295866520509604076821658079662156682276342124869534695664273932582478554723086572774864264767343891371576415451047851517332096847328309165573624596924360851739587646509166087389614818599217366886123119737327287242811073190101099240885964159856776705509673267591658215985870306033187342681237182378846411899937152559729710402769299487453582979149446923412069207702266780174377233703120894792726593359567206469911357109329004871207765942714691196355971838283846089707415246288082694693351470568684121505625475956026367430913205084655179653674400489857508363144633083802639583067369093279885490459361969211656531187603696529038991756280242118421670294058362686880758383812801948727431896262551459037357159786983896582905986595259372226205234618214996538553082862488275013055237611355912712572766588037567495448357286670749744567811819419201994624384046067569223240944631198324558415122897523944697108708414264022161056209733446066372719643014417589888896768414533405053400444957342577521155608477601920319154653054379296581212026000108065104549229487258060844614982535880798019665731308830750296783577930943617564921600423760844917091218144871401279734697622323285208159876380658095782547951553315395230486876081915970040548715665241779428673419033971828230404394512572707675034298061014846361965018933785762630645125063181700006350976577122468377638482742176687774087216378973184342519026787999935236752709852508287718911672312719783910094607178787486274507159100067320408361376296594279603305121812664781158536962251313424750313254246879729026609164904329075579725929162438100543575200542853320794338834992866036393905435408591628657017897546930184299099729475348417059024095014571495743470673885539545245444436710593863573213759971192814121872237351047254354312059435766361944253765457511680392697940625433992380757028088173207630193564518024002739239400156752932900661825092925579779694369348892043347964401371851782449863767065530079147}
15934 16714500335613056730075351323340996871012177231471162246044310755: {175153,413894,445844,604694,636920,700436,716535,746689,764304,841693,859842,985862,1082084,1366454,1463444,1671495,1782928,1844516,1989875,2005794,2070193,2164189,2315414,2387850,2547040,2605796,2633089,2726653,2732564,2865420,3056448,3100189,3103035,3309904,3365924,3438504,3449414,3675903,3723642,3868317,3936433,4121473,4376075,4503956,4533495,4582813,4835728,5210936,5251290,5440194,5458159,5500093,5601376,5678799,5862303,5956033,5971256,6075254,6261734,6301548,6717663,6760475,6772244,6824103,7133053,7149284,7223089,7582513,7680183,7797370,8027924,8030173,8112570,8488262,8564989,8653408,8779796,8818395,8857334,9143075,9356844,9406288,9623735,9735084,9777494,9890689,9905444,9969927,10132759,10280084,10327862,10542363,10582074,10678333,10876934,10971690,11139100,11402276,11546653,11548482,11607014,11703136,11719453,12024596,12064189,12148964,12344199,12397604,12493489,12521876,12920989,13060262,13166028,13261693,13366920,13602854,14258048,14340543,14475370,14612989,14695475,14696833,14803831,14867435,15037785,15670599,15741716,15913000,15938295,16040304,16193713,16254447,16358593,16481684,16555256,16653062,16851236,17000848,17015233,17072075,17147746,17178673,17306936,17370444,17423293,17504689,17542262,17586013,17589476,17634570,17712404,17840922,17902125,17910589,17970459,18045342,18427862,18624663,18655475,18716989,18781094,18810208,18810883,18957494,19037533,19095600,19117489,19125954,19207383,19430036,19470303,19661654,19992253,20188262,20368640,20486490,20538614,20679100,20830479,21056696,21063062,21148330,21161484,21164231,21482550,21482689,21629204,21751076,21793153,21852256,21947953,22281734,22386570,22455254,22529463,22552568,22789235,22914720,22916283,23023489,23099773,23575316,23688783,23879008,24046136,24135391,24181796,24442368,24446535,24496780,24526262,24583788,24792056,24814920,25342955,25371639,25377996,25387323,25779060,25860795,25895414,25996436,26018689,26076304,26384989,26469248,26491066,26676733,26840804,26863884,26872690,27051903,27087335,27347082,27497664,27584848,27593894,27891063,27903793,27916785,28061727,28189489,28284644,28644884,29335842,29396136,29604116,29670493,29777904,29946995,29959899,30082964,30114614,30211900,30322196,30364573,30411546,30640189,30708913,30934872,31032954,31039124,31062995,31611494,31833802,31924167,32000989,32219576,32247228,32269693,32317835,32504802,32556050,32603953,32915895,33002689,33070653,33332989,33452839,33500142,33560583,33658004,33960903,34080374,34251044,34479130,34713095,34801731,34893373,34961636,34995400,35079956,35110288,35174456,35383862,35475671,35540799,35658013,35802635,35936394,36247023,36254280,36491559,36678134,36733076,36850916,37275594,37482374,37768189,37792484,37844380,38071489,38123174,38614676,38671232,38781402,38911153,39029953,39067260,39200996,39207613,39318164,39369825,39499074,39571263,39903524,39953075,40151503,40189862,40254356,40371236,40662913,40663334,40786065,40948573,41374956,41449574,41655714,41671744,41846435,41906353,41994480,42075974,42130599,42310475,42544262,42679489,42855734,42963162,43169053,43252856,43482719,43505136,43648808,43752155,43812733,44024989,44095862,44219087,44404454,44714168,44794112,45017473,45135764,45156538,45413256,45419199,45476860,45547035,45943844,46091414,46283773,46383133,46630273,46635236,46880712,46945095,47119153,47243790,47312689,47402551,47743933,47789770,47791489,47910039,47943690,48264706,48583504,48659463,48727489,48773533,48931556,48943278,48956989,49104909,49255900,49410589,49679293,49732244,49810616,49860614,50016183,50074768,50074916,50155475,50215722,50296189,50303439,50393376,50455334,50511131,50603654,50645396,50649423,50679530,50772570,51019579,51089913,51110833,51139936,51195073,51442724,51462455,51611953,51670244,51983799,52021633,52252343,52372262,52502586,52622653,52740801,52740913,52805924,52936573,52949795,53433656,53457859,53550589,53761983,53872588,53924989,53949903,54063400,54070475,54120134,54157408,54255793,54572232,54656442,54805331,54970033,55144093,55178689,55554493,55704134,55990262,56036943,56334114,56376193,56418374,56446511,56535133,56692548,56755604,56987174,57042296,57243073,57272989,57347724,57359290,57391933,57421489,57532428,57584506,57762296,57827713,58383553,58458225,58518013,58703233,58771604,58781533,58807343,58961713,59063089,59099654,59107080,59188189,59218196,59311489,59328519,59543075,59569631,59647153,59687459,59786689,59991133,60102193,60112863,60146113,60186570,60470367,60489974,60548989,60730753,60815436,60821325,60904262,60927084,61241053,61317254,61382173,61393761,61501873,61554404,61591862,61746493,61754946,61885475,61886996,62018653,62118170,62303163,62355440,62481073,62504833,62524595,62539933,62551316,62726593,62767489,62807233,62864689,62874013,62963293,63037489,63047552,63104036,63105063,63187933,63214484,63242689,63296689,63368113,63396913,63403393,63450589,63452353,63457213,63460093,63539754,63633062,63757743,63793786,64172583,64199008,64226075,64509340,64537364,64876080,64884570,64982583,65021595,65062599,65416724,65460871,65745956,65858507,66184484,66404535,66495465,66511354,67204059,67618262,67717930,68042516,68269862,68271100,68696084,68831148,68949580,69131156,69176054,69201152,69210208,69356368,69593125,69914168,70149870,70324964,70831504,70928496,71094134,71406884,71444795,71451690,71622884,71726294,71850058,71925495,72223884,72377876,72401735,72480134,72985590,73456568,74218934,74262570,74541804,74826528,74847524,75029514,75125075,75206719,75595796,75902075,75916004,76129316,76215136,76235924,76339967,76368370,76653974,76720528,76960840,77071290,77411208,77455475,77851296,77861484,78025914,78212823,78246699,78293330,78391736,78653439,79148774,79213408,79371663,79630484,79685442,79733414,79794558,79828399,79947044,80270079,80292898,80368676,80498168,80655783,80723123,80891894,81031496,81261516,81925320,82035974,82209376,82256195,82263580,82638639,82739496,82783124,83179603,83511750,83613494,83725094,83947862,84010490,84036116,84170054,84179844,84554799,85053062,85393016,85595876,85652295,85699604,85717895,85733754,85742028,86100971,86217764,86310594,86340826,86495703,86528276,86580945,86882082,87006134,87087609,87148436,87202571,87220262,87387008,87582708,87753062,87767444,87863435,88071014,88190703,88427042,88796564,89079200,89115084,89320850,89329862,89537654,89600602,90150090,90301708,90363062,90467146,90560439,90845204,91018599,91082490,91133980,91160433,91298194,91362448,91642044,91684694,91696738,92068244,92156200,92165985,92169956,92309343,92353008,92388263,92485548,92585414,92814639,92851863,92946570,92954463,93081933,93083924,93515530,93590564,93670454,93951996,94009047,94281755,94490075,94774955,95016220,95360195,96067143,96160096,96475256,96504603,96739900,96914054,97006934,97154656,97192262,97214756,97836374,97914644,98184039,98310384,98413604,98499400,98563862,98707434,98716296,99013862,99143008,99192854,99222776,99409124,99418750,99908216,...,130593798085997681400718197261825267911999454410369452467286945030140540636925222645067886136464010128032764403494001685631533522523575494203540565998807418887134542428268403711172825843100363868514339814216485925964671109595675054139821268600747332296967528747096421348579613532119342181065691602766374400786207446691757811153694472259234569359817611024401073814667703900950015865496379872310460096443610111012236056466894094804505302293941930427532774997189846901312180867568069301276965502735781844963485682835340602347654280709369190963784238033113739627059030113497534203211951526791357408293727822027346138769095544106216208909701789499826046260885698576776638072964115430366485686356458521828768553934730468689776129129771078887431499462565814468986116862012221449852819758132289822514830826316436382990414764253468132321181285546475702274012897690122210954647827074710916456908316243171795215866582870079639613870359065983271443972199262564549425610269689040232502978270827859723635457812756275293215142812438673161610354590286254928474629117711794786276553661717443592924468627424912162007500634608035156574550940112873572871565867319810011150859510778403519444089825457706513987279149292282208708250138262038718655675040322824562227058744483582507677845083735931636575861683401945383142879715978528777207982127012496301606979490953328718070777149984366684073650148474550283430355450716756660597809715560999659423749092558935992832512061423425630987926174931099411220163863365259596144944552352029548074946311261421830292857352556786518529024552711206737867259943123436694874144636802560425539537405839062108282701333477420139398972649677414459486643381174397359554308411774333729044770574591490086562133898347793222788290859828535039646263496431046944213168507544127710063935404420526973982501442554626720731620886989039238231225378629104307205859350096943566712397414686461815953358578381016840860166750908933341801302102829957836851310322902250365449621838630912456692035717333246982336946470011050291882229750293045213459476238383315032676212133423093877815168395459039471073495750219708211382616335084566333751005662506305368812219872438767439634572216584134058100267390471094392451779990488048525207247211455504876023863395906912398799639300464556078698793352761994324627565180719393660592582280791818097618346628257085495829649801396339139082745914355149259005020610015573856930587500578656507676037450897610173591419357365336985652533542337243867549100123900773039592492465189391130619201829135709933151689420706772196}
15935 16787771793341060676392123416030512820983883889214905561068213888: {557305,620841,668766,796150,875545,907041,955380,1019072,1050654,1146456,1289763,1352605,1478793,1560062,1623126,1829305,1925473,2049681,2195166,2228660,2305645,2674392,2766774,2896166,2974609,3008691,3183800,3257245,3415705,3473121,3581775,3820560,3908694,4022953,4075264,4098846,4137380,4207405,4231262,4298130,4559569,4584672,4595389,4901204,4964856,5048886,5157756,5174121,5224849,5376566,5585463,5629945,6044660,6466009,6513670,6755934,7001720,7253592,7464070,7511713,7571732,7816404,7833277,7855094,7876935,8160291,8208409,8230502,8372449,8402064,8405281,8464573,8465305,8753737,8936605,8956884,9098804,9112881,9392601,9452322,9989149,10034905,10158366,10240244,10723926,10816760,10974745,11066269,11323153,11696055,11757860,12041886,12168855,12381805,12475792,12732393,12806534,12850105,12980112,13169694,13286001,13293236,13352557,13923875,14035266,14056484,14109432,14252845,14324662,14485849,14602626,14628920,14666241,14858166,14875742,15030745,15143569,15186205,15397976,15420126,15491793,15497005,15652345,15664582,15873111,15906577,16315401,16457535,16458932,16708650,16808446,17103414,17322723,17410521,17554704,17579353,17750486,17822560,18036894,18223446,18424609,18596406,18616609,18782814,19120724,19332121,19590393,19677145,19733497,19749042,19891250,20050380,20404281,20602105,20694070,20894132,21040369,21064045,21185254,21251060,21387072,21615817,21633670,21672596,21693049,21713055,21986845,22068409,22140505,22323062,22816766,23160592,23223421,23512760,23612574,23787896,23791009,23869500,23960612,24060456,24136742,24287545,24722526,24832884,24979593,25152374,25276854,25460800,25501272,25609844,25721619,25848875,25960404,26055666,26198953,26313393,26320870,26384214,26451855,26568606,26761383,26892073,27036505,27068013,27157789,27188845,27229609,27315320,27641793,27773972,28171641,28190710,28192129,28215312,28259473,28436241,28643400,28688931,29145054,29294077,29469145,29492481,29848760,30039284,30057670,30227245,30282393,30552301,30552960,30555044,30620975,30721502,30729735,30777649,30807921,30990070,31018650,31585044,31594593,31722495,31742226,32139697,32223825,32389681,32443806,32495545,32589824,32595380,32626614,32778384,33055033,33086560,33396913,33422601,33551005,33579855,33682881,33828852,33837328,33849764,33929041,34080409,34092769,34372080,34481060,35157649,35355805,35362974,35419501,35806105,35818512,36069204,36272694,36462776,36663552,36745170,36789393,36875682,37005145,37188084,37222380,37415636,37451521,37603705,37764875,37846249,37902745,38066994,38085961,38192707,38668590,38798905,38843121,38994654,39060073,39114456,39124897,39194848,39301174,39618121,39703872,39736599,39905606,39946532,40261206,40274470,40295826,40309035,40473889,40548728,40823677,41020623,41246496,41377272,41390841,41575633,42066109,42072505,42280094,42357926,42426966,42510566,42565556,42813805,42967326,42996304,43339736,43421942,43584289,43702045,43744250,43815422,43849945,43887860,43968070,44003763,44094204,44290609,44406174,44470717,44636377,44666856,44747444,45124446,45171921,45281204,45307273,45317850,45483294,45509662,45617319,45916345,46060753,46063645,46402308,46549431,46558686,46754449,47203561,47240605,47305475,47387732,47417241,47676409,47750703,47893777,47915192,48268345,48329364,48339040,48352513,48370842,48422749,48655412,48690433,48727081,48757203,48834075,49001245,49147705,49478521,49479193,49700792,49879405,49912009,49934317,49971577,50250213,50317945,50426281,50464045,50487006,50542009,51065569,51120561,51134473,51376566,51703894,51708536,51718695,52059037,52089680,52398649,52442454,52493100,52619934,52665432,52761684,52781329,53075793,53521537,53904591,54066070,54381420,54421609,54561010,54737953,55017201,55058977,55099614,55166608,55276374,55315873,55540952,55892710,55913391,55992640,56174132,56223561,56419705,56422321,56688726,56766570,56846075,57136573,57184761,57284216,57429805,57513142,57922014,58006848,58172103,58294045,58301462,58600890,58698817,58801494,58977246,59033389,59043001,59248611,59530861,59855286,59940694,60284793,60381534,60478081,60551008,60556854,60558932,60686822,60715126,60729380,60995001,61164445,61165021,61174897,61569875,61977566,62062434,62165305,62174361,62263270,62483571,62492977,62507616,62516569,62593460,62593645,62625481,62824669,62991720,63113961,63306745,63556777,63703777,63805753,63816393,63880052,63924920,64054153,64274497,64283601,64303405,64444743,64587805,64772761,64879284,65257704,65473212,65474233,65488153,66007405,66101662,66143793,66167161,66606681,66685393,66688244,66792070,66851089,66954296,66962449,67071252,67130462,67191168,67340735,67532564,67579250,67696760,67703646,67734807,67806409,68063521,68119884,68215290,68422909,68442793,68580313,68592769,68915766,69137121,69257569,69311732,69428641,69952854,70003448,70321068,70435897,70865685,70902559,70944505,71302870,71446141,71562877,71682644,71684655,71705197,71915535,71933204,71991169,72085729,72202870,72397059,72762976,72875256,73397334,73414917,73448614,73452313,73464505,73629817,73653469,73883850,74022745,74067734,74598366,74715924,74718889,74790921,74940889,75112152,75112374,75146329,75323583,75590064,75683001,75905481,75968094,76019295,76158855,76188062,76223977,76422649,76463632,76709904,76943005,77164086,77358745,77501054,77505366,77752609,77782366,77944300,78189145,78558393,78742873,78753879,78809440,78880045,78918086,78932461,79018105,79104692,79208886,79875622,79892509,79942142,79949833,79971817,80150484,80248760,80627156,80636675,80671705,80808882,81087248,81095100,81180201,81236112,81470449,81638857,81770905,81844753,81858348,81984663,82098769,82112806,82182445,82339928,82461214,82514209,82602361,82730605,82897537,83070884,83556201,83985393,84023761,84073789,84140084,84365353,84415849,84501171,84627561,84719672,85010324,85038822,85053145,85133406,85338875,85475846,85480761,85563444,85870105,86021586,86038935,86186975,86298642,86376759,86413945,86501440,86512760,86535262,86643444,86695460,86750132,86819929,86824237,86864353,87392710,87419689,87906205,88157406,88539380,88601953,88649481,88660620,88781713,88827294,89258605,89263549,89422822,89528605,89605412,90279855,90315901,90410953,90472345,90734961,91120621,91172126,91223154,91356393,91390626,91544233,91774864,91820710,91975881,92331606,92370877,92387793,92466182,92523409,92573974,92632419,92657773,92830494,93177255,93533160,93559405,93826974,93918566,94077409,94494745,94571328,94656054,94660801,94821726,94895005,94956577,95130673,95161645,95268920,95294905,95309631,95449593,95690679,95763409,95775382,95852521,95900660,96163561,96201050,96298512,96692662,96764010,96783241,96806046,97022689,97177453,97201849,97314120,97326855,97490353,97989670,98036182,98125086,98244614,98618934,99016760,99276726,99299126,99389072,99401446,99538105,99767031,99768704,99933805,...,195890697128996522101077295892737901867999181615554178700930417545210810955387833967601829204696015192049146605241002528447300283785363241305310848998211128330701813642402605566759238764650545802771509721324728888947006664393512581209731902901120998445451293120644632022869420298179013271598537404149561601179311170037636716730541708388851854039726416536601610722001555851425023798244569808465690144665415166518354084700341142206757953440912895641299162495784770351968271301352103951915448254103672767445228524253010903521481421064053786445676357049670609440588545170246301304817927290187036112440591733041019208153643316159324313364552684249739069391328547865164957109446173145549728529534687782743152830902095703034664193694656618331147249193848721703479175293018332174779229637198434733772246239474654574485622146380202198481771928319713553411019346535183316431971740612066374685362474364757692823799874305119459420805538598974907165958298893846824138415404533560348754467406241789585453186719134412939822714218658009742415531885429382392711943676567692179414830492576165389386702941137368243011250951912052734861826410169310359307348800979715016726289266167605279166134738186559770980918723938423313062375207393058077983512560484236843340588116725373761516767625603897454863792525102918074714319573967793165811973190518744452410469236429993077106165724976550026110475222711825425145533176075134990896714573341499489135623638838403989248768092135138446481889262396649116830245795047889394217416828528044322112419466892132745439286028835179777793536829066810106800889914685155042311216955203840638309306108758593162424052000216130209098458974516121689229965071761596039331462617661500593567155861887235129843200847521689834182436289742802559469395244646570416319752761316191565095903106630790460973752163831940081097431330483558857346838067943656460808789025145415350068596122029692723930037867571525261290250126363400012701953154244936755276965484353375548174432757946368685038053575999870473505419705016575437823344625439567820189214357574972549014318200134640816722752593188559206610243625329562317073924502626849500626508493759458053218329808658151159451858324876201087150401085706641588677669985732072787810870817183257314035795093860368598199458950696834118048190029142991486941347771079090490888873421187727146427519942385628243744474702094508708624118871532723888507530915023360785395881250867984761514056176346415260387129036048005478478800313505865801323650185851159559388738697784086695928802743703564899727534131060158294}
15936 16861361942486925233117431242476743057588594998852256607013855064: {206999,270623,350306,365999,461303,746783,827788,891688,936743,1003149,1194225,1209388,1273840,1400872,1433070,1493378,1528608,1575981,1683386,1719684,1787999,1971724,2007743,2164168,2195783,2340093,2352263,2434689,2570999,2732908,2785825,2926888,3100583,3131663,3292749,3342990,3565856,3689032,3979750,4011588,4029503,4140386,4150161,4214423,4328378,4344249,4583399,4630828,4775700,4798103,4951223,5094080,5171725,5211592,5266178,5453306,5465128,5500799,5713823,5730840,5863041,6112896,6126505,6148269,6200378,6206070,6346893,6350543,6447195,6619808,6731848,6803183,6863399,6877008,6898828,7163999,7351806,7447284,7555825,7573329,7736634,7852343,7872866,8060999,8064849,8242946,8654999,8752150,8862143,9007912,9009863,9066990,9165626,9304703,9451823,9464665,9671456,9770505,9891983,10067543,10133901,10271999,10330343,10421872,10502580,10795943,10880388,10916318,10941023,11000186,11196105,11202752,11288399,11357598,11373505,11724606,11782641,11912066,11922263,11942512,12065783,12150508,12345753,12523468,12523703,12603096,12800305,12865799,12951143,13007999,13291799,13435326,13473229,13520950,13544488,13648206,13800623,14178483,14266106,14278799,14298568,14446178,14475023,14697325,14894183,15116999,15165026,15237549,15360366,15477983,15594740,15616463,15892823,16055848,16060346,16085889,16223399,16225140,16443143,16616545,16634999,16976524,17044799,17129978,17306816,17559592,17570605,17636790,17714668,17858999,17993999,18062829,18182663,18286150,18713688,18746303,18799799,18812576,18986783,19066799,19120103,19209801,19247470,19470168,19554988,19754541,19781378,19810888,19939854,19994999,20265518,20337263,20560168,20573665,20655724,20782799,20814409,20965583,21052899,21084726,21164148,21356666,21485663,21486993,21511583,21641063,21753868,21903939,21943380,22278200,22285463,22287249,22313613,22516223,22804552,23052143,23093306,23096964,23102999,23130189,23214028,23406272,23438906,23496873,23900905,24049192,24113399,24128378,24297928,24688398,24795208,24937343,24986978,25012273,25043752,25062975,25160543,25212669,25234799,25284263,25655121,25841978,26117665,26120524,26332056,26413103,26523386,26563825,26625729,26733840,26753303,27055341,27090745,27205708,27335169,27548999,27894609,27907799,28174221,28217303,28501799,28516096,28619999,28681086,28950740,29225978,29390950,29393666,29395103,29488463,29607662,29623563,29734870,29836875,29950765,29976503,30075570,30299903,30368999,30667583,30713399,30987623,31041105,31215263,31341198,31464743,31483432,31777881,31803383,31826000,31876590,31904929,32012305,32080608,32296799,32387426,32450505,32475263,32508894,32717186,32741999,32897063,32963368,33110512,33139943,33228023,33293999,33306124,33484593,33702472,34001696,34014983,34030466,34144150,34225149,34295492,34357346,34613872,34717465,34740888,34770143,34846586,35009378,35084524,35172026,35178952,35269140,35418861,35424808,35480137,35494343,35600063,35681844,35804250,35810903,35821178,35937023,35940918,36090684,36205113,36251063,36292799,36542543,36666983,36855724,37083789,37120799,37161863,37223399,37249326,37310950,37433978,37549105,37562188,37620416,37621766,37672463,37728561,37834799,37914988,37915281,37922269,38075066,38077343,38191200,38193805,38234978,38251908,38338799,38378903,38414766,38438999,38499023,38860072,38940606,38996423,39083499,39174263,39323308,39481305,39576321,39625799,39852909,39984506,40150463,40376524,40737280,40744225,40972980,41077228,41358200,41660958,41689463,41912999,41925793,42113392,42126124,42135383,42246143,42286065,42296660,42312205,42322968,42328462,42521783,42922799,42965100,42965378,43067663,43101325,43139903,43193999,43258408,43488193,43502152,43517063,43586306,43704512,43717581,43766543,43895906,44032103,44049743,44348399,44470703,44522999,44563468,44773140,44910508,44921543,45041999,45058926,45086505,45105136,45244969,45247583,45349943,45553799,45578470,45604583,45829440,45832566,45941303,46046978,46058399,46082253,46199546,46307999,46485105,46527975,46637999,46769545,47150632,47175503,47377566,47481023,47613339,47758016,47767799,47846999,47957543,48092272,48130463,48270782,48317999,48363592,48598333,48665709,48751103,48884736,48893070,48934799,48939921,48965303,48980543,48993560,49052524,49167576,49419023,49434023,49584112,49629840,49732343,49933165,50123689,50319383,50391863,50449703,50685910,50743278,50755992,50774646,50822543,51091583,51413399,51551999,51558120,51721590,51790828,51922223,51992872,52030799,52037378,52152608,52258921,52393463,52473263,52526303,52565999,52671503,52769978,52938496,52958999,52982132,53044461,53191343,53206945,53353466,53370263,53560223,53681608,53727768,53745380,53934743,54008783,54103806,54131543,54174670,54277799,54338399,54409041,54422903,54602663,54674063,54694164,54859825,54995328,55117755,55131143,55169696,55187788,55257863,55313523,55530983,55782126,55807586,55810583,55833570,55934305,55975943,56123454,56225999,56258303,56354783,56378978,56418743,56453617,56492999,56569288,56601505,56619383,56930303,57083063,57100491,57143663,57283943,57289768,57293903,57313799,57412799,57432503,57989999,58002885,58101983,58203623,58267799,58295183,58313399,58491981,58538399,58585009,58671684,58792272,58951761,58973399,59032703,59074823,59083223,59199983,59208232,59234665,59323343,59340986,59555808,59564663,59643503,59694973,59729303,59821799,59858409,59893990,59919798,59920703,60121799,60165928,60229228,60352583,60373799,60391809,60411705,60423023,60423800,60443739,60527183,60561503,60644392,60663263,60729146,60763223,60782999,60819265,60823092,60995783,61020983,61242023,61253017,61253999,61280378,61417826,61614863,61752769,61759799,61775543,61827503,61869744,61903943,61963799,61973663,62036999,62065908,62075303,62078248,62125990,62131799,62187143,62200799,62281223,62363303,62487023,62576999,62633399,62680823,62785103,62942903,62954663,62963399,62969183,63052103,63054743,63087277,63158399,63222988,63259583,63276503,63285623,63311783,63313463,63321743,63332999,63340799,63358703,63380783,63383399,63387263,63401999,63416663,63418799,63420141,63426023,63430943,63444503,63456983,63478823,63480743,63481799,63486623,63487343,63536889,63640449,63667604,63765849,63848334,64001978,64439152,64450989,64494456,64539386,64635670,65009604,65112100,65132913,65207906,65616375,65723133,65831790,65952105,66005378,66141306,66609261,66665978,66709513,66905678,67000284,67121166,67316008,67686669,67921806,67976775,68160748,68224941,68264493,68502088,68958260,69426190,69603462,69786746,69838029,69923272,69990800,70159912,70217665,70220576,70348912,70400473,70767724,70951342,71081329,71081598,71316026,71605270,71872788,72047437,72494046,72508560,72556263,72983118,73356268,73466152,73701832,74129713,74551188,74964748,75536378,75584968,75688760,75698665,75730509,75911725,76142978,76246348,77064849,77229352,77342464,77555841,77562804,77822306,77832781,78059906,78134520,78241825,78401992,78415226,78636328,78663681,78739650,78929901,78998148,79142526,79807048,79850065,79906150,80303006,80379724,80508712,80742472,81099105,81325826,81326668,81572130,81841515,81897146,82649421,82749912,82899148,82914561,83311428,83343488,83360305,83692870,83812706,83839065,83988960,84151948,84261198,84415705,84620950,85033089,85088524,85149855,85358978,85711468,85926324,86269713,86338106,86505712,86639665,86883021,86965438,87010272,87297616,87452193,87504310,87534433,87625466,87901335,88049978,88191724,88202241,88438174,88465869,88808908,89428336,89588224,89603305,89782929,89911041,89916505,90034946,90219961,90271528,90313076,90572301,90826512,90835281,90838398,90953720,91030233,91072689,91094070,91887688,92038969,92182828,92567546,92766266,92966349,93093651,93260546,93270472,93394905,93761424,93890190,94238306,94487580,94625378,94805102,95487866,95579540,95582978,95820078,95887380,96230497,96529412,97167008,97318926,97430375,97454978,97461697,97547066,97863112,97886556,97913978,98209818,98511800,98821178,98880865,99152493,99358586,99464488,99621232,99721228,...,293836045693494783151615943839106852801998772423331268051395626317816216433081750951402743807044022788073719907861503792670950425678044861957966273497316692496052720463603908350138858146975818704157264581987093333420509996590268871814597854351681497668176939680966948034304130447268519907397806106224342401768966755056455075095812562583277781059589624804902416083002333777137535697366854712698535216998122749777531127050511713310136930161369343461948743743677155527952406952028155927873172381155509151167842786379516355282222131596080679668514535574505914160882817755369451957226890935280554168660887599561528812230464974238986470046829026374608604086992821797747435664169259718324592794302031674114729246353143554551996290541984927496720873790773082555218762939527498262168844455797652100658369359211981861728433219570303297722657892479570330116529019802774974647957610918099562028043711547136539235699811457679189131208307898462360748937448340770236207623106800340523131701109362684378179780078701619409734071327987014613623297828144073589067915514851538269122245738864248084080054411706052364516876427868079102292739615253965538961023201469572525089433899251407918749202107279839656471378085907634969593562811089587116975268840726355265010882175088060642275151438405846182295688787654377112071479360951689748717959785778116678615703854644989615659248587464825039165712834067738137718299764112702486345071860012249233703435458257605983873152138202707669722833893594973675245368692571834091326125242792066483168629200338199118158929043252769666690305243600215160201334872027732563466825432805760957463959163137889743636078000324195313647688461774182533844947607642394058997193926492250890350733792830852694764801271282534751273654434614203839204092866969855624479629141974287347643854659946185691460628245747910121646146995725338286020257101915484691213183537718123025102894183044539085895056801357287891935375189545100019052929731367405132915448226530063322261649136919553027557080363999805710258129557524863156735016938159351730283821536362458823521477300201961225084128889782838809915365437994343475610886753940274250939762740639187079827494712987226739177787487314301630725601628559962383016504978598109181716306225774885971053692640790552897299188426045251177072285043714487230412021656618635736333310131781590719641279913578442365616712053141763062936178307299085832761296372535041178093821876301977142271084264519622890580693554072008217718200470258798701985475278776739339083108046676130043893204115555347349591301196590237441}
15937 16935272158347082154341130443138568888339443278904080044867310004: {15937,525459,780227,1034735,1114610,1225763,1241682,1337532,1511735,1592300,1751090,1814082,1893647,1910760,2038144,2101308,2149605,2240067,2275559,2292912,2464655,2525079,2561027,2579526,2705210,2957586,3120124,3227903,3246252,3324563,3416135,3515447,3658610,3850946,4099362,4390332,4457320,4560143,4611290,4754399,4781987,5014485,5136023,5348784,5533548,5788535,5792332,5890367,5949218,5969625,6017382,6210579,6367600,6466823,6492567,6514490,6831410,6946242,7163550,7641120,7641647,7817388,7881923,7899267,8045906,8150528,8179959,8197692,8274760,8373503,8414810,8462524,8596260,8623535,8754839,8877479,9119138,9169344,9190778,9300567,9309105,9357443,9700847,9802408,9929712,10097772,10315512,10348242,10449698,10753132,11027709,11164343,11170926,11259890,11604951,11606087,11688083,11809299,11851427,12089320,12364419,12368183,12511247,12932018,13027340,13128225,13511327,13511868,13600485,13748439,14003440,14048867,14273423,14507184,14928140,15023426,15143464,15188135,15364643,15632808,15654335,15666554,15710188,15753870,16320582,16374477,16416818,16445783,16461004,16500279,16744898,16804128,16810562,16929146,16930610,17036397,17334527,17507474,17586909,17777939,17868099,17873210,17913768,17927459,17990147,18197608,18225762,18785202,18904644,18964583,19493425,19953983,19978298,20069810,20152989,20281425,20316732,20472309,20480488,20775599,21043043,21220655,21260687,21399159,21447852,21633520,21669267,21695807,21913283,21949490,22001447,22132538,22143335,22646306,22747539,23040549,23106563,23392110,23515720,24058103,24083772,24090519,24138323,24337710,24443735,24763610,24951584,25464786,25613068,25694967,25700210,25819655,25960224,26080847,26092127,26339388,26455185,26572002,26586472,26705114,27192335,27429225,27548003,27695567,27847750,28070532,28112968,28116647,28218864,28505690,28649324,28842947,28871205,28971698,29017535,29205252,29257840,29332482,29489663,29672067,29716332,29751484,29909781,30061490,30287138,30352823,30372410,30398277,30781583,30795952,30840252,30962399,30983586,30994010,30996707,31304690,31329164,31627089,31746222,31813154,32034999,32180447,32630802,32650655,32740439,32915070,32917864,33397559,33401159,33417300,33616892,34002563,34007135,34206828,34426403,34639959,34645446,34821042,35109408,35158359,35158706,35287727,35500972,35645120,36073788,36188425,36192567,36446892,36849218,37032597,37192812,37233218,37480467,37565628,37851107,38064383,38103683,38241448,38664242,38762967,39065039,39180786,39293843,39354290,39466994,39469079,39498084,39782500,39785079,40100760,40276847,40712579,40808562,41204210,41256803,41388140,41632655,41788264,42080738,42128090,42318143,42370508,42502120,42774144,42869365,43021629,43231634,43267340,43345192,43386098,43426110,43639103,43838967,43855655,43973690,44086425,44090499,44136818,44281010,44411493,44602305,44646124,45113355,45235523,45493763,45633532,46069655,46113827,46321184,46446842,46952735,46971407,47011797,47015063,47025520,47225148,47358239,47393735,47537663,47575792,47582018,47682503,47739000,47814885,47921224,48120912,48273484,48307619,48428903,48574007,48575090,48581139,48696659,48763341,49075779,49134839,49154135,49445052,49498127,49665768,49826627,49959186,50128547,50304748,50458979,50470655,50553708,50921600,51002544,51045699,51155759,51216225,51219688,51231263,51346535,51443238,51536019,51600287,51697750,51807203,51920808,52111332,52269879,52343447,52397906,52514067,52626786,52641740,52645187,52657655,52745363,52758039,52768428,52870825,52903710,53063843,53137212,53378063,53522766,53528339,53544959,53706375,53731767,53784146,53911377,54073010,54119543,54136026,54268127,54315578,54318467,54377690,54459218,54630640,55283586,55547944,55704335,55873989,55966425,56138135,56150967,56166167,56343282,56344847,56381420,56384258,56430624,56432649,56518946,56716967,56872482,56925383,57073283,57112599,57143879,57286800,57352467,57377862,57543239,57622149,58290108,58410909,58588154,58901507,58938290,58984962,59697520,59939327,59976759,60078568,60115340,60202367,60454490,60564786,61104602,61105920,61110088,61182863,61241950,61315655,61389923,61443004,61459470,61555298,61615842,61980140,62037300,62491437,62811683,63170088,63189186,63444990,63484452,63492693,63685103,64236863,64279394,64282883,64316447,64447650,64448067,64489103,64611383,64738535,64779362,64887612,64991090,65179648,65190760,65253228,65379459,65496479,65556768,65843859,65889287,66005447,66110066,66136847,66173120,66227665,66793826,66845202,67102010,67159710,67181725,67365762,67575683,67588389,67657704,67674656,67699528,67858082,67940003,68160818,68185538,68367705,68601743,68744160,68748849,68806787,68962120,68984735,69070467,69299319,69831167,69938339,70315298,70370759,70445123,70552103,70649663,70711610,70725948,70839002,70939667,71066349,71198339,71612210,71637024,72094943,72138408,72406173,72545388,72635987,72925552,73327104,73339605,73490340,73578786,73662887,73751364,73793159,74010290,74117327,74376168,74444760,74715923,74831272,74903042,75207410,75286535,75406799,75529750,75692498,75805490,76028865,76114917,76125743,76133988,76161969,76171922,76385414,76424867,76472663,76650383,77263127,77337180,77378639,77582385,77597810,77686242,77989308,78056067,78120146,78228912,78249794,78389696,78602348,78987587,79028735,79154967,79236242,79407744,79473198,79584505,79811212,79893064,79982039,80030199,80134847,80401727,80522412,80548940,80566403,80591652,80618070,80947778,81058823,81097456,81155709,81160967,81262005,81390125,81480803,81611663,81647354,82041246,82318583,82492992,82551023,82706723,82754544,82781682,83044847,83151266,83581763,83673189,83711379,83750355,84132218,84145010,84150239,84185181,84376079,84560188,84568467,84678803,84715852,84853932,85021132,85131112,85200935,85627610,85630223,85707623,85934652,85992608,86103587,86197825,86679472,86807279,86843884,87031427,87168578,87269123,87404090,87488500,87630844,87631103,87699890,87775720,87791507,87936140,87989663,88007526,88188408,88459655,88549283,88581218,88629443,88812348,88941434,89011479,89272754,89275007,89333712,89494888,89840985,89879697,90024767,90248892,90343842,90422927,90562408,90614546,90635700,90966588,91019324,91093719,91234638,91695335,91832690,91889447,91920567,92121506,92126739,92127290,92221763,92410367,92804616,93059759,93098862,93117372,93188985,93508898,93705935,93964823,94277029,94407122,94481210,94610950,94775464,94834482,94909847,95307935,95352818,95501406,95772501,95787554,95830384,96002967,96536690,96658728,96678080,96705026,96741684,96809079,96845498,96953505,97214207,97310824,97380866,97420103,97454162,97502819,97514406,97668150,97811859,98002490,98295410,98747685,98957042,98958386,99008067,99101759,99211959,99322307,99401584,99758810,99765143,99824018,99868634,99943154,99998967,...,391781394257993044202154591785475803735998363231108357401860835090421621910775667935203658409392030384098293210482005056894600567570726482610621697996422256661403627284805211133518477529301091605543019442649457777894013328787025162419463805802241996890902586241289264045738840596358026543197074808299123202358622340075273433461083416777703708079452833073203221444003111702850047596489139616931380289330830333036708169400682284413515906881825791282598324991569540703936542602704207903830896508207345534890457048506021807042962842128107572891352714099341218881177090340492602609635854580374072224881183466082038416307286632318648626729105368499478138782657095730329914218892346291099457059069375565486305661804191406069328387389313236662294498387697443406958350586036664349558459274396869467544492478949309148971244292760404396963543856639427106822038693070366632863943481224132749370724948729515385647599748610238918841611077197949814331916597787693648276830809067120697508934812483579170906373438268825879645428437316019484831063770858764785423887353135384358829660985152330778773405882274736486022501903824105469723652820338620718614697601959430033452578532335210558332269476373119541961837447876846626124750414786116155967025120968473686681176233450747523033535251207794909727585050205836149428639147935586331623946381037488904820938472859986154212331449953100052220950445423650850291066352150269981793429146682998978271247277676807978497536184270276892963778524793298233660491590095778788434833657056088644224838933784265490878572057670359555587073658133620213601779829370310084622433910407681276618612217517186324848104000432260418196917949032243378459930143523192078662925235323001187134311723774470259686401695043379668364872579485605118938790489293140832639505522632383130191806213261580921947504327663880162194862660967117714693676135887312921617578050290830700137192244059385447860075735143050522580500252726800025403906308489873510553930968706751096348865515892737370076107151999740947010839410033150875646689250879135640378428715149945098028636400269281633445505186377118413220487250659124634147849005253699001253016987518916106436659617316302318903716649752402174300802171413283177355339971464145575621741634366514628071590187720737196398917901393668236096380058285982973882695542158180981777746842375454292855039884771256487488949404189017417248237743065447777015061830046721570791762501735969523028112352692830520774258072096010956957600627011731602647300371702319118777477395568173391857605487407129799455068262120316588}
15938 17009503822106523894776865459467996136415713917386017547703283627: {302461,413998,493117,541246,588337,700612,731998,922606,968497,1252861,1493566,1655576,1671915,1783376,1862523,1873486,1990375,2006298,2383837,2388450,2418776,2547680,2626635,2721123,2801744,2866140,2986756,3057216,3132061,3151962,3318397,3366772,3439368,3575998,3869289,3900155,3943448,4015486,4057815,4245757,4328336,4338097,4391566,4436379,4680186,4704526,4869378,5141998,5165917,5257537,5465816,5487915,5571650,5776419,5853776,5896861,6149043,6169777,6201166,6263326,6585498,6685980,6916935,7131712,7240415,7378064,7524637,7704061,7959500,8023176,8059006,8280772,8300322,8418877,8428846,8577107,8656756,8688498,8863297,8923827,9026073,9166798,9261656,9305917,9482461,9551400,9596206,9658717,9771735,9902446,10098097,10188160,10247115,10343450,10419363,10423184,10532356,10578155,10745325,10906612,10930256,11001598,11232061,11405437,11427646,11461680,11726082,12068859,12225792,12253010,12296538,12400756,12412140,12622215,12693786,12701086,12894390,13208497,13239616,13250531,13441415,13463696,13606366,13633117,13678707,13726798,13754016,13786167,13797656,14327998,14703612,14812477,14894568,15063361,15111650,15146658,15473268,15522363,15646237,15674547,15704686,15745732,15894961,15922907,16121998,16129698,16143037,16284175,16485892,16555057,16756389,16889835,17292157,17309998,17504300,17699137,17724286,17920427,18015824,18019726,18133980,18331252,18609406,18660175,18903646,18929330,19342912,19398027,19541010,19637735,19783966,20103217,20135086,20267802,20543998,20576255,20660686,20843744,21005160,21124861,21514561,21591886,21760776,21832636,21882046,22000372,22057117,22288561,22392210,22405504,22535139,22576798,22715196,22747010,22902577,23263163,23449212,23499831,23565282,23630805,23663617,23824132,23844526,23885024,24131566,24301016,24480873,24598847,24625227,24691506,24716977,25046936,25047406,25117347,25206192,25215843,25312561,25393719,25395915,25600610,25731598,25829917,25902286,26015998,26261211,26270557,26583598,26809815,26870652,26946458,27041900,27088976,27296412,27338643,27601246,28078657,28177803,28356966,28532212,28557598,28597136,28803131,28892356,28950046,29394650,29422717,29559959,29788366,29967447,29980861,30104715,30233998,30330052,30475098,30720732,30809437,30955966,31014961,31189480,31232926,31491997,31785646,31830577,31898077,32016335,32111696,32120692,32167357,32171778,32446798,32450280,32886286,32924235,33198807,33233090,33269998,33461267,33824257,33953048,33969459,34020061,34089598,34215217,34259956,34613632,35088165,35119184,35141210,35181277,35273580,35429336,35436157,35626561,35717998,35811655,35942461,35987998,36125658,36365326,36444157,36506565,36564731,36572300,36693277,37145415,37189355,37427376,37492606,37599598,37625152,37927043,37973566,38133598,38197179,38240206,38419602,38494940,38524957,38550315,38940336,39002461,39109976,39161455,39298561,39509082,39562756,39621776,39858003,39879708,39885361,39989998,40057671,40531036,40580017,40674526,40923457,41120336,41147330,41311448,41565598,41628818,41714737,41771625,41882461,41931071,41931166,42021115,42105798,42169452,42271297,42328296,42546877,42713332,42758535,42971326,42973986,43023166,43282126,43457547,43507736,43684657,43791361,43807878,43886760,43950877,43998723,44056861,44376215,44556400,44570926,44574498,44627226,44738737,44817227,45032446,45092235,45254977,45430707,45510397,45558615,45609104,46104286,46186612,46193928,46205998,46260378,46428056,46475379,46491015,46812544,46858561,46877812,46957035,46993746,47199517,47488957,47619333,47719731,47801810,48098384,48154237,48226798,48256756,48528061,48595856,48604451,48620797,48946203,48988861,49372605,49376796,49442461,49590416,49728125,49755697,49874686,49973956,50024546,50087504,50125950,50321086,50425338,50469598,50568526,51058177,51100477,51310242,51683956,51735175,51968169,52231563,52235330,52241048,52295857,52416061,52495837,52568747,52664112,52738059,52826206,52963135,53046772,53127650,53251458,53392561,53467680,53471327,53506606,54084175,54110682,54181490,54396637,54411416,54670338,54684061,55097998,55141297,55273827,55279537,55313917,55653757,55747483,55789218,55807655,55815598,55849827,55887361,55986397,56279617,56348442,56434606,56941117,57003598,57032192,57041915,57093937,57239998,57304861,57362172,57744961,57802417,57901480,57996363,58451956,58708861,58771179,58781900,58787332,58790206,58916797,58968061,58976926,59031435,59094961,59200491,59215324,59237087,59247126,59469740,59655517,59673750,59772337,59887357,59901530,59932861,59953006,60089857,60151140,60199837,60341855,60372061,60435457,60599806,60642097,60737998,60841537,61127197,61212843,61335166,61426798,61482877,61682461,61760543,61794097,61806315,61975246,62082210,62093617,62205361,62299357,62430526,62500957,62560177,62682396,62848861,62877697,62880935,62924317,62929486,62942461,62966864,63053377,63069361,63095219,63121107,63192135,63193597,63200257,63262897,63291517,63328561,63338497,63383857,63414961,63441457,63460861,63496861,63503197,63555762,63606766,63652000,63753180,63809858,64024610,64161216,64593598,64774852,64847451,64901010,64950526,65017788,65079147,65139165,65434372,65477363,65483998,65794126,65802175,65926736,65960535,66205227,66221024,66279886,66421515,66456046,66587998,66612248,66717911,66969186,67404944,68003392,68029966,68060932,68288300,68329987,68450298,68590984,68714692,69227744,69434930,69481776,69540286,69670263,69693172,69906431,70018756,70169048,70344052,70357904,70476775,70538280,70837722,70849616,70960274,70988686,71200126,71363688,71373027,71608500,71621806,71642356,71874046,71881836,72181368,72410226,72502126,72585598,72862635,73085086,73333966,73711448,74167578,74241598,74323726,74446798,74489723,74498652,74557691,74621900,74867956,74938779,75098210,75124376,75144175,75240832,75243532,75344926,75457122,75669598,75829976,75830562,75844538,76150132,76154686,76382400,76387610,76469956,76503816,76677598,76757806,76803755,76829532,76877998,76998046,77164857,77475175,77546625,77720144,77881212,77992846,78052831,78166998,78308027,78348526,78596859,78646616,78940179,78962610,79152642,79242107,79251598,79355565,79705818,79969012,80284149,80300926,80676219,80753048,81109515,81204039,81473367,81474560,81488450,81566535,81688827,81945960,82154456,82716400,82925379,82928531,83200559,83321916,83378926,83825998,83851586,84005207,84226784,84252248,84270766,84492286,84514923,84572130,84576387,84593320,84624410,84645936,84656924,84778419,85043566,85146971,85308723,85845598,85930200,85930756,86066793,86122663,86135326,86202650,86279806,86387998,86516816,86976386,87004304,87034126,87172612,87409024,87435162,87533086,87791812,87882231,88064206,88099486,88407435,88477443,88696798,88941406,89045998,89126936,89546280,89821016,89843086,90083998,90117852,90173010,90210272,90489938,90495166,90681735,90699886,90847179,91107598,91156940,91209166,91656903,91658880,91665132,91862925,91882606,92093956,92116798,92164506,92189205,92332947,92399092,92411539,92423763,92615998,92970210,93055950,93275998,93539090,94301264,94351006,94755132,94783779,94962046,95167485,95226678,95516032,95535598,95693998,95915086,96184544,96260926,96419091,96541564,96635998,96671475,96727184,97169043,97196666,97331418,97486635,97502206,97769472,97786140,97869598,97879842,97930606,97961086,97987120,98105048,98252935,98304731,98335152,98838046,98868046,99165099,99168224,99259680,99464686,99764015,99866330,...,587672091386989566303231887678213705603997544846662536102791252635632432866163501902805487614088045576147439815723007585341900851356089723915932546994633384992105440927207816700277716293951637408314529163974186666841019993180537743629195708703362995336353879361933896068608260894537039814795612212448684803537933510112910150191625125166555562119179249609804832166004667554275071394733709425397070433996245499555062254101023426620273860322738686923897487487354311055904813904056311855746344762311018302335685572759032710564444263192161359337029071149011828321765635510738903914453781870561108337321775199123057624460929948477972940093658052749217208173985643595494871328338519436649185588604063348229458492706287109103992581083969854993441747581546165110437525879054996524337688911595304201316738718423963723456866439140606595445315784959140660233058039605549949295915221836199124056087423094273078471399622915358378262416615796924721497874896681540472415246213600681046263402218725368756359560157403238819468142655974029227246595656288147178135831029703076538244491477728496168160108823412104729033752855736158204585479230507931077922046402939145050178867798502815837498404214559679312942756171815269939187125622179174233950537681452710530021764350176121284550302876811692364591377575308754224142958721903379497435919571556233357231407709289979231318497174929650078331425668135476275436599528225404972690143720024498467406870916515211967746304276405415339445667787189947350490737385143668182652250485584132966337258400676398236317858086505539333380610487200430320402669744055465126933650865611521914927918326275779487272156000648390627295376923548365067689895215284788117994387852984501780701467585661705389529602542565069502547308869228407678408185733939711248959258283948574695287709319892371382921256491495820243292293991450676572040514203830969382426367075436246050205788366089078171790113602714575783870750379090200038105859462734810265830896453060126644523298273839106055114160727999611420516259115049726313470033876318703460567643072724917647042954600403922450168257779565677619830730875988686951221773507880548501879525481278374159654989425974453478355574974628603261451203257119924766033009957196218363432612451549771942107385281581105794598376852090502354144570087428974460824043313237271472666620263563181439282559827156884731233424106283526125872356614598171665522592745070082356187643752603954284542168529039245781161387108144016435436400940517597403970950557553478678166216093352260087786408231110694699182602393180474882}
15939 17084058320863818899840828206955882869607189037443878996323642872: {31874,620997,811869,875765,1050918,1097997,1383909,1448629,1560454,2069470,2116429,2229220,2240349,2451526,2483364,2675064,2689297,2810229,3009447,3023470,3184600,3450517,3502180,3582675,3628164,3733445,3787294,3821520,3929029,4076288,4202616,4208465,4299210,4480134,4551118,4585824,4727943,4782589,4929310,5050158,5122054,5159052,5363997,5410420,5740261,5915172,6023229,6240248,6455806,6492504,6587349,6649126,6832270,7020279,7030894,7056789,7165037,7304067,7317220,7642609,7701892,7712997,8103949,8198724,8210477,8357475,8780664,8914640,9120286,9222580,9301749,9358621,9394989,9508798,9563974,9878247,9949375,10028970,10272046,10350965,10596629,10697568,10820945,11067096,11069057,11577070,11584664,11780734,11898436,11939250,12034764,12072949,12088509,12421158,12450483,12643269,12735200,12933646,12971509,12985134,13028980,13032747,13165445,13355921,13633265,13662820,13750197,13813189,13892484,14327100,14394309,14853669,15257797,15282240,15283294,15500945,15515175,15634776,15763846,15798534,16091812,16301056,16359918,16395384,16502397,16549520,16747006,16829620,16925048,17141469,17192520,17247070,17509678,17589123,17754958,18238276,18338688,18379515,18380581,18381556,18444807,18601134,18618210,18714886,19040679,19051629,19341585,19401694,19604816,19682165,19859424,20195544,20409549,20590197,20607365,20631024,20696484,20899396,21186997,21263389,21491997,21506264,21880375,21916069,22055418,22328686,22341852,22412689,22519780,22667475,22719987,22763477,22914065,23209902,23212174,23376166,23557029,23618598,23702854,23797037,24178640,24182997,24194547,24728838,24736366,25022494,25231669,25864036,25964997,26054680,26256450,26586429,27022654,27023736,27029589,27200970,27290795,27496878,27500465,27914109,28006880,28097734,28355469,28393995,28527109,28546846,28952957,29014368,29161789,29311515,29675949,29708917,29780165,29856280,30046852,30202629,30286928,30369089,30376270,30401703,30729286,30815997,30953869,30991029,31000669,31009781,31265616,31308670,31333108,31420376,31507740,32387829,32641164,32748954,32823069,32833636,32891566,32922008,33000558,33063437,33489796,33588315,33608256,33621124,33802375,33858292,33861220,33865197,34072794,34089077,34120515,34221229,34669054,35014948,35166557,35173818,35347923,35555878,35665265,35736198,35746420,35766789,35827536,35854918,35980294,36115445,36147517,36197349,36395216,36451524,37037259,37570404,37571109,37809288,37912565,37929166,38069269,38400915,38597397,38853429,38905949,38986850,39023997,39474097,39875397,39907966,39953009,39956596,40139620,40150865,40305978,40419687,40562850,40624549,40633464,40685749,40944618,40960976,41071997,41401869,41551198,42086086,42441310,42521374,42535449,42798318,42824945,42836397,42895704,43267040,43338534,43391614,43425069,43826566,43898980,44002894,44091975,44265076,44286670,44301917,44682549,45292612,45350997,45495078,45710917,45712647,45715375,46081098,46213126,46250629,46304561,46317809,46433949,46784220,46849389,47031440,47609989,47678469,48116206,48118675,48167544,48181038,48257667,48276646,48364877,48670197,48675420,48887470,49036709,49329429,49453445,49527220,49668397,49849635,49903168,49904997,50663795,50929572,51078557,51134397,51226136,51389934,51400420,51639310,51766769,51920448,52161694,52184254,52678776,52711815,52910370,53144004,53172944,53391665,53410228,53576997,53730349,53981997,54033509,54126421,54188487,54384670,54547989,54858450,55096006,55391134,55695500,56141064,56225936,56233294,56238909,56352049,56399397,56437728,56960349,57011380,57200397,57298648,57360309,57550597,57629403,57670909,57685894,57687041,57733265,57742410,57943396,58035070,58285717,58410504,58515680,58597265,58664964,58855057,58979326,59263623,59344134,59432664,59472677,59502968,59819562,59984997,60017111,60122980,60320945,60491909,60574276,60705646,60744820,60796554,61011789,61397917,61481981,61563166,61591904,61670909,61680504,61720995,61924798,61967172,61988020,61993414,62335429,62348397,62443227,62467445,62609380,62658328,62666129,62896749,63158697,63254178,63492444,63626308,63720029,64069998,64360894,64456989,64460979,64497517,64534749,64604945,64789229,64923189,65261604,65301310,65415377,65480878,65711817,65733829,65830140,65835728,66103949,66223901,66308465,66351229,66795118,66802318,66834600,66856389,66861747,66868157,66940839,67233784,67548669,68005126,68014270,68103281,68413656,68489597,68815789,68852806,69156429,69275117,69279918,69290892,69308997,69390567,69517397,69642084,70218816,70316718,70317412,70490619,70575454,70658917,71001944,71290240,71702715,71794141,71885149,72147576,72340197,72376850,72385134,72893784,73064945,73471277,73477375,73484165,73698436,73720717,73993669,74019155,74065194,74231989,74337175,74385624,74466436,74514449,74717057,74812029,74959877,74960934,75036819,75131256,75188925,75481629,75638007,75702214,75704397,75852789,76128766,76207366,76482896,76965363,77328484,77357909,77525934,77848049,77986069,78130078,78352995,78361572,78433157,78587686,78593389,78708580,78933988,78938158,78952529,78996168,79239309,79423157,79565000,79570158,79632677,79691475,79877187,80201520,80259909,80553694,80576701,80968565,81166023,81272235,81425158,81617124,81659621,81792965,82005507,82329109,82408420,82513606,82646997,82776280,82918541,83265310,83576528,83683827,83723397,84045197,84161476,84256180,84522663,84636286,84651909,84684557,84741016,85004240,85076165,85360375,85505397,85548288,85738730,85841917,85859997,85893365,86043258,86463268,86534680,86690384,86772196,86852220,87116465,87210097,87278206,87523445,87677934,87711310,87930065,87947380,88172850,88180998,88185309,88244197,88273636,88465389,88529537,88562020,88822986,88870689,89204610,89292248,89510625,89552945,89852295,89929509,90226710,90471046,90633949,90899709,90987526,91043629,91106997,91267064,92002749,92139310,92140197,92227654,92642368,92718731,92814829,92893684,92962869,93123315,93277375,93429569,93584945,93645789,93905470,93942814,94023594,94030126,94051040,94054415,94394229,94450296,94464497,94716478,94787470,94921909,95075326,95151584,95164036,95187665,95333643,95365006,95410149,95478000,95587445,95629770,95714787,95842448,96036915,96131981,96210641,96241824,96546968,96578629,96615238,96807989,96857806,96890397,97040477,97148014,97150180,97162278,97351515,97393318,97425789,97526682,97744309,98151558,98225997,98269678,98308270,98691189,98890104,98996254,99331536,99419829,99574949,99653254,99684069,99777949,99881997,99918372,99961265,...,881508137080484349454847831517320558405996317269993804154186878953448649299245252854208231421132068364221159723584511378012851277034134585873898820491950077488158161390811725050416574440927456112471793745961280000261529989770806615443793563055044493004530819042900844102912391341805559722193418318673027205306900265169365225287437687749833343178768874414707248249007001331412607092100564138095605650994368249332593381151535139930410790484108030385846231231031466583857220856084467783619517143466527453503528359138549065846666394788242039005543606723517742482648453266108355871680672805841662505982662798684586436691394922716959410140487079123825812260978465393242306992507779154973778382906095022344187739059430663655988871625954782490162621372319247665656288818582494786506533367392956301975108077635945585185299658710909893167973677438710990349587059408324923943872832754298686084131134641409617707099434373037567393624923695387082246812345022310708622869320401021569395103328088053134539340236104858229202213983961043840869893484432220767203746544554614807366737216592744252240163235118157093550629283604237306878218845761896616883069604408717575268301697754223756247606321839518969414134257722904908780688433268761350925806522179065795032646525264181926825454315217538546887066362963131336214438082855069246153879357334350035847111563934968846977745762394475117497138502203214413154899292338107459035215580036747701110306374772817951619456414608123009168501680784921025736106077715502273978375728376199449505887601014597354476787129758309000070915730800645480604004616083197690400476298417282872391877489413669230908234000972585940943065385322547601534842822927182176991581779476752671052201378492558084294403813847604253820963303842611517612278600909566873438887425922862042931563979838557074381884737243730364938440987176014858060771305746454073639550613154369075308682549133617257685170404071863675806125568635300057158789194102215398746344679590189966784947410758659082671241091999417130774388672574589470205050814478055190851464609087376470564431900605883675252386669348516429746096313983030426832660261820822752819288221917561239482484138961680217533362461942904892176804885679887149049514935794327545148918677324657913161077922371658691897565278135753531216855131143461691236064969855907208999930395344772158923839740735327096850136159425289188808534921897257498283889117605123534281465628905931426813252793558868671742080662216024653154601410776396105956425836330218017249324140028390131679612346666042048773903589770712323}
15940 17158937047656232330124950572134682978958632593136891601823094859: {47811,270691,604922,827996,842011,936979,986234,1082492,1176674,1401224,1463996,1576377,1845212,1936994,2070979,2165011,2340681,2352859,2505722,2634091,2727691,2786525,2821219,2987132,3008059,3104205,3311152,3343830,3566752,3677289,3725046,3746972,3980750,4012596,4030531,4215499,4377725,4535205,4584571,4767674,4776900,4837552,4860619,5095360,5253270,5442246,5460217,5593579,5603488,5680941,5732280,5973512,6049339,6114432,6264122,6303924,6448815,6636794,6720201,6733544,6763025,6826677,6865171,6878736,7151996,7225891,7393965,7405819,7575237,7683081,7738578,7800310,7886896,8030972,8115630,8491514,8568331,8656672,8657251,8676194,8783132,8872758,9146525,9360372,9409052,9627365,9683709,9738756,9806659,9973689,9982411,10136581,10248405,10283996,10331834,10333051,10515074,10546341,10931632,10975830,11143300,11528225,11552838,11707552,11793722,12240979,12298086,12339554,12402332,12526652,12669739,12926131,13011451,13170996,13352011,13371960,13680429,13833870,14263197,14263424,14345961,14480830,14534899,14702731,14756128,14809417,14873045,15043455,15049274,15408069,15408122,15620659,15786619,15919000,16046352,16118012,16282771,16286225,16447579,16561544,16600644,16837754,16857692,17078525,17154214,17313512,17365605,17376996,17430379,17511811,17593171,17671101,17726594,17847654,17908875,17917891,17998891,18052146,18333596,18523312,18611834,18631737,18804931,18817981,18964922,19045339,19102800,19125331,19192412,19285099,19317434,19400469,19477701,19543470,19804892,20114765,20196194,20376320,20494230,20686900,20838726,20846368,21023539,21037025,21064712,21156310,21172217,21490650,21569371,21813224,21860512,22003196,22343011,22464122,22573699,22797845,22810874,22855292,22923360,22924941,22976945,23109451,23185699,23414011,23452164,23645769,23697801,24137718,24170371,24451584,24506020,24539877,24593076,24620731,24801512,24824280,25120509,25244430,25291411,25387572,25402172,25788780,25870605,26124245,26264517,26416994,26479232,26501062,26542339,26632437,26760931,26882830,26927392,27051379,27212732,27266234,27357414,27453596,27492829,27508032,27556891,27572334,27595312,27901701,27927315,28072329,28149725,28201651,28344139,28628251,28655996,28806757,28840579,29052259,29102541,29193019,29407224,29543659,29624954,29789136,30126722,30223300,30293316,30722371,30946536,31044726,31292474,31349094,31409372,31491464,31789922,31845814,32243996,32259396,32286074,32330045,32568350,32685091,32708357,32951059,32971784,33083127,33110114,33347851,33493029,33512778,33779670,34068571,34584314,34619996,34780579,34814853,34818261,34934497,35008600,35064249,35398274,35427897,35448572,35554281,35737459,35840854,35863819,36031648,36039452,36267960,36303811,36553651,36662504,36678139,36988099,37093257,37104549,37173211,37218812,37320350,37533741,37558565,37785571,37807292,37846411,37858660,38209939,38390731,38685824,38796054,38810059,39048091,39082020,39166385,39225859,39275470,39384675,39567932,39988699,40206434,40270172,40533981,40535604,40801455,41042045,41087996,41152510,41245317,41251939,41321372,41687488,41702659,41862245,41982019,42010320,42026405,42146601,42249722,42322865,42326525,42370099,42754651,42820269,43029122,43081459,43183772,43189819,43243891,43521552,43665272,43764092,43768685,43780651,43887139,44000744,44114234,44362771,44572291,44577122,44683025,44784420,44811008,44822869,44936179,45039499,45070278,45091051,45153596,45296539,45430392,45494020,45564405,45805154,45956419,46093929,46106971,46306699,46406131,46526326,46898424,46963005,46999662,47130564,47191219,47261610,47327234,47648264,47689052,47767939,47770048,47815531,47863051,48263132,48334291,48602032,48752251,48798331,48844339,48961746,48981931,49123431,49197694,49250454,49337349,49383012,49433954,49500837,49615459,49749379,49926931,49945745,50093872,50094812,50136317,50174525,50234694,50412384,50431686,50625122,50711659,50787438,50791830,50925499,51109191,51137539,51179731,51201220,51431371,51463196,51597691,51659834,51803971,51804572,52003581,52031996,52065097,52522422,52541114,52690219,52760727,53167196,53333817,53604297,53619630,53741304,53782377,53892916,53917099,53970441,54083800,54177952,54321811,54502891,54592824,54677286,54717811,54826037,54873725,55000339,55174579,55202492,55209211,55331345,55754501,56018779,56157314,56247091,56355606,56439979,56567131,56615765,56661739,56713932,56817979,56893749,57064424,57115196,57125059,57194272,57305851,57335731,57454531,57606262,57784712,57900092,58087339,58143139,58226299,58336171,58444891,58480275,58789300,58816339,58829561,58842331,58845434,59022259,59073019,59119918,59148619,59248411,59576732,59592137,59683219,59846011,59861949,59934894,59961722,59982739,60027739,60209430,60291691,60377371,60458967,60461899,60467996,60607051,60660104,60768619,60788491,60844275,60906211,60950196,61021339,61207459,61279891,61416927,61421299,61441464,61541251,61558099,61618874,61641259,61802179,61909025,61910539,61911932,61955899,62000611,62029922,62102419,62126701,62159011,62326797,62373859,62378960,62399419,62465852,62522899,62534851,62727019,62769211,62779579,62800099,62907811,62917171,62983994,62998171,63112579,63129129,63315691,63366451,63413971,63417859,63449611,63489571,63497491,63499291,63501019,63507211,63516139,63571292,63661154,63661965,63782061,63796154,64032670,64197477,64223392,64241384,64250525,64334714,64343556,64893596,64900560,65007801,65087421,65739849,65772572,65848470,65883389,66004341,66397614,66430005,66466180,66539996,66762785,66922534,67648514,67906096,67938918,68040122,68179196,68242617,68338589,68430434,68519912,69121647,69227264,69319689,69619375,70176330,70238368,70282420,70362554,70547160,70858672,70872314,71099237,71253122,71264225,71435996,71623310,71884922,71975996,72174309,72251316,72271557,72414969,72429245,72730652,72888314,73013130,73129462,73144600,73331205,73386554,74148389,74290830,74378710,74567077,74854752,74985212,75153725,75199196,75250304,75717845,75854086,75931025,75947132,76267196,76368809,76394358,76480412,76839204,76989880,77049914,77084901,77100630,77458965,77485025,77880672,78004922,78062657,78130717,78219952,78242541,78261725,78276381,78322910,78597122,78765797,79018164,79125512,79243552,79365555,79532885,79716006,79759416,79770722,79858681,79979996,80115342,80753621,81062072,81160034,81349052,81577005,81846914,82240672,82287675,82294660,82622896,82644009,83086701,83131196,83257636,83429474,83543250,83764922,83862142,83862332,84042230,84211596,84338904,84349941,84478597,84542594,84656592,85093754,85426664,85517070,85942652,85947972,86046332,86528841,86564252,86613615,86915094,87015472,87052605,87235517,87369314,87582722,87615756,87773520,87896765,87901754,87997446,88033309,88113722,88468989,88752430,89016201,89112800,89141852,89148996,89254452,89477474,89634454,89729343,90064892,90184470,90509954,90861414,91020794,91058469,91117230,91194831,91218208,92062157,92123045,92208572,92344749,92373224,92387856,92411996,92520756,92856112,92887197,92950758,92982030,92990121,93083045,93625088,93717122,93755624,93914070,93987492,94399034,94881267,94977914,95238666,95439462,95603620,96104997,96196768,96254741,96308474,96453596,96513512,96541341,96660605,97056122,97191712,97208902,97241594,97892406,97951965,97977722,98221317,98385725,98667485,98745210,98753592,98884922,99180832,99278881,99456250,99511394,99749372,99947912,...,1175344182773979132606463775356427411207995089693325072205582505271264865732327003805610975228176091152294879631446015170683801702712179447831865093989266769984210881854415633400555432587903274816629058327948373333682039986361075487258391417406725990672707758723867792137216521789074079629591224424897369607075867020225820300383250250333111124238358499219609664332009335108550142789467418850794140867992490999110124508202046853240547720645477373847794974974708622111809627808112623711492689524622036604671371145518065421128888526384322718674058142298023656643531271021477807828907563741122216674643550398246115248921859896955945880187316105498434416347971287190989742656677038873298371177208126696458916985412574218207985162167939709986883495163092330220875051758109993048675377823190608402633477436847927446913732878281213190890631569918281320466116079211099898591830443672398248112174846188546156942799245830716756524833231593849442995749793363080944830492427201362092526804437450737512719120314806477638936285311948058454493191312576294356271662059406153076488982955456992336320217646824209458067505711472316409170958461015862155844092805878290100357735597005631674996808429119358625885512343630539878374251244358348467901075362905421060043528700352242569100605753623384729182755150617508448285917443806758994871839143112466714462815418579958462636994349859300156662851336270952550873199056450809945380287440048996934813741833030423935492608552810830678891335574379894700981474770287336365304500971168265932674516801352796472635716173011078666761220974400860640805339488110930253867301731223043829855836652551558974544312001296781254590753847096730135379790430569576235988775705969003561402935171323410779059205085130139005094617738456815356816371467879422497918516567897149390575418639784742765842512982991640486584587982901353144081028407661938764852734150872492100411576732178156343580227205429151567741500758180400076211718925469620531661792906120253289046596547678212110228321455999222841032518230099452626940067752637406921135286145449835294085909200807844900336515559131355239661461751977373902443547015761097003759050962556748319309978851948906956711149949257206522902406514239849532066019914392436726865224903099543884214770563162211589196753704181004708289140174857948921648086626474542945333240527126362878565119654313769462466848212567052251744713229196343331045185490140164712375287505207908569084337058078491562322774216288032870872801881035194807941901115106957356332432186704520175572816462221389398365204786360949764}
15941 17234141401484952661160833904020529226400714272893744247807889960: {63748,907383,1034995,1226071,1241994,1353115,1479351,1623738,1751530,1765011,1829995,1926199,2101836,2195994,2306515,2767818,2897258,2905491,2975731,3120908,3733915,3758583,4024471,4138940,4232858,4458440,4480698,4597123,4683715,4903052,4966728,5015745,5072419,5226823,5350128,5378594,5587569,5620458,5891851,5971125,6018894,6046940,6217291,6369200,6901034,7004360,7151511,7165350,7165939,7256328,7466890,7514551,7574588,7643040,7858058,7879905,8152576,8163369,8405232,8416930,8467771,8598420,8939995,8960268,9102236,9171648,9256291,9396183,9455886,9565178,9703291,9858620,9955191,9992923,10038715,10100316,10244108,10318104,10597963,10727994,10820840,10978915,11327431,11480522,11607867,11609011,11700465,11761315,11830344,12046458,12173445,12371299,12385879,12480496,12685723,12737271,12854995,12911612,12985008,13014291,13174698,13298252,13309137,13514731,13664540,13929125,14040558,14061788,14113578,14277019,14330074,14491351,14608134,14634440,14972011,15149323,15285218,15403784,15425994,15497751,15502915,15658315,15772611,16207898,16397448,16420954,16463745,16714950,17329257,17561328,17690583,17829280,18240572,18431623,18445160,18447129,18509331,18603498,18623671,18717242,18789978,19017596,19086571,19127948,19660531,19756494,19898750,20057940,20147515,20544092,20701930,20750805,21072115,21193258,21395136,21520663,21641890,21701323,21721245,22076791,22134192,22138114,22573911,22916995,23112183,23154140,23169328,23561468,23796872,23878500,23990515,24069528,24144439,24145898,24177018,24375283,24756115,24842316,24900966,25256631,25286538,25470400,25731321,25858625,25867292,25943018,25970268,26057960,26065494,26330890,26589891,26658979,26711842,26771481,26902291,27078219,27168091,27239971,27266530,27325640,27500394,27503995,27555031,27626378,27784968,27917751,28123771,28270231,28447383,28569115,28654200,28771123,28788618,28850311,28976151,29315205,29707338,30294291,30515594,30564480,30566588,30632525,30741345,31001890,31030350,31258089,31269552,31356259,31527692,31597068,31734465,31752715,32079691,32183624,32235975,32602112,32719836,32790768,33004794,33067639,33099040,33409651,33494012,33659240,33696183,33850096,33941923,34015915,34093411,34105723,34216311,34217131,34282938,34316995,34385040,34435159,34494140,35019356,35178246,35509916,35819995,36206577,36476552,36647923,36677376,36742891,36759030,36761162,36763112,36767923,36889614,37202268,37236420,37429772,37779125,37866645,38081358,38103258,38207113,38500651,38683170,38803388,39074971,39209632,39261715,39303799,39364330,39625491,39633163,39718848,39751593,40287091,40304995,40324245,40391088,40489291,40819098,40839163,40899351,41036121,41180394,41214730,41262048,41358501,41392968,41692231,41798792,42082123,42373994,42526778,42983994,43012528,43274995,43289719,43673731,43760750,43832138,44110836,44310715,44437431,44653363,44657372,44683704,44825378,45039560,45049315,45190083,45324631,45334950,45439974,45526954,45828130,46125511,46340899,46419804,46424348,46523515,46567089,46752332,46938711,47023641,47114058,47221483,47237196,47259115,47323325,47405708,47566231,47594074,47684883,47768721,48357280,48365994,48371059,48389094,48429111,48709111,48852525,49457676,49459915,49472732,49497979,49665171,49931371,49953283,50044988,50269167,50337715,50463338,50561623,50669505,51085051,51359995,51613411,51651715,51728072,51766963,51876471,51929994,52109360,52356811,52418551,52512900,52669723,52801351,53077591,53097411,53172858,53432599,53761281,53825251,53979715,54045308,54047472,54059178,54401940,54581590,54705115,54758791,54993756,55000930,55079863,55336891,55828218,55980525,56013760,56195468,56211211,56441995,56710938,56787990,56867525,56912971,57054218,57087799,57093692,57158491,57905914,58028736,58194081,58323578,58623030,58913205,59055811,59351898,59417834,59480311,59519371,59560330,59611315,59712560,59815459,59954923,60093704,60309651,60328915,60405258,60501043,60573856,60738178,60752540,60803406,61458572,61631994,61728765,61907738,61982058,62001338,62019562,62531232,62540323,62617340,62618515,62666216,62840752,62848531,63015480,63374583,63580963,64001525,64253251,64328995,64543683,64755715,64775658,64797463,64832119,65039995,65282328,65497908,65513131,65646138,65667272,65783132,65844016,66001116,66022171,66126874,66171351,66192283,66458995,66499939,66710731,66865683,66979592,66987931,67176630,67216512,67242248,67366145,67604750,67605417,67716584,67722440,67730394,68089363,68145588,68178154,68241030,68442458,68449123,68468779,68606371,68707731,69003115,69017419,69088711,69234823,69338108,69789489,70020331,70029896,70285891,70333114,70347636,70499493,70569979,70695846,70892415,70929313,70990851,71111756,71216503,71330530,71393995,71472396,71490199,71492840,71533578,71655072,71709836,71960588,72018523,72230890,72295034,72375115,72394698,72654391,72660523,72790432,72800059,72903048,73141171,73442619,73486625,73657783,73681723,73796541,73812211,73875681,74074518,74150931,74445523,74470915,74726611,74734999,74748331,75140808,75142218,75174871,75248851,75352041,75584995,75618576,75647529,75825130,75858332,75937683,76138538,76181157,76187745,76444231,76451731,76801830,77194794,77389915,77489751,77706858,77782771,77811898,77973700,78047994,78082315,78773431,78783633,78811671,78948194,78962563,79392823,79464115,79750794,79815932,79906018,79913192,79922923,79980211,80279240,80301730,80429445,80611956,80826571,80839374,80942251,81116995,81125700,81181531,81249098,81266928,81371498,81411319,81670003,81875851,81889236,81921952,82015929,82036171,82130011,82143994,82215715,82572019,82728151,82803738,83082725,83102396,83174995,83386039,83507299,84106123,84172172,84235971,84397531,84449323,84507811,84533409,84882620,85042748,85070898,85223995,85357591,85596636,85649890,85672794,85729339,85791408,86187463,86409393,86534080,86677068,86783228,86829691,86850138,87006643,87291319,87454423,87653132,87797960,87813751,87853025,88005788,88183950,88268151,88530152,88571719,88573340,88603834,88679877,88815511,89294995,89365098,89821939,89902341,89942583,89969995,90314145,90445591,90446923,90585224,90701994,90913315,90990156,91421834,91425294,91430750,92162196,92426252,92428311,92501258,92559511,92572171,92609122,92635618,92693731,92831851,92848051,92867898,93032791,93044883,93568440,93698778,93731515,93863731,93998995,94062880,94113223,94190371,94475991,94933915,95219978,95333995,95356938,95491731,95600515,95694231,96049005,96144499,96232412,96237350,96335088,96362076,96469879,96502071,96515334,96553292,96729754,96820363,97238923,97340394,97350840,97502059,97527751,97774940,98073418,98608891,98658858,98772705,98906890,99054440,99336794,99596421,99648811,99699270,99806336,99809994,99974995,...,1763016274160968698909695663034641116811992634539987608308373757906897298598490505708416462842264136728442319447169022756025702554068269171747797640983900154976316322781623450100833148881854912224943587491922560000523059979541613230887587126110088986009061638085801688205824782683611119444386836637346054410613800530338730450574875375499666686357537748829414496498014002662825214184201128276191211301988736498665186762303070279860821580968216060771692462462062933167714441712168935567239034286933054907007056718277098131693332789576484078011087213447035484965296906532216711743361345611683325011965325597369172873382789845433918820280974158247651624521956930786484613985015558309947556765812190044688375478118861327311977743251909564980325242744638495331312577637164989573013066734785912603950216155271891170370599317421819786335947354877421980699174118816649847887745665508597372168262269282819235414198868746075134787249847390774164493624690044621417245738640802043138790206656176106269078680472209716458404427967922087681739786968864441534407493089109229614733474433185488504480326470236314187101258567208474613756437691523793233766139208817435150536603395508447512495212643679037938828268515445809817561376866537522701851613044358131590065293050528363853650908630435077093774132725926262672428876165710138492307758714668700071694223127869937693955491524788950234994277004406428826309798584676214918070431160073495402220612749545635903238912829216246018337003361569842051472212155431004547956751456752398899011775202029194708953574259516618000141831461601290961208009232166395380800952596834565744783754978827338461816468001945171881886130770645095203069685645854364353983163558953505342104402756985116168588807627695208507641926607685223035224557201819133746877774851845724085863127959677114148763769474487460729876881974352029716121542611492908147279101226308738150617365098267234515370340808143727351612251137270600114317578388204430797492689359180379933569894821517318165342482183998834261548777345149178940410101628956110381702929218174752941128863801211767350504773338697032859492192627966060853665320523641645505638576443835122478964968277923360435066724923885809784353609771359774298099029871588655090297837354649315826322155844743317383795130556271507062433710262286923382472129939711814417999860790689544317847679481470654193700272318850578377617069843794514996567778235210247068562931257811862853626505587117737343484161324432049306309202821552792211912851672660436034498648280056780263359224693332084097547807179541424646}
15942 17309672787340424601199935451148334166520249251674034984584334316: {79685,95622,302537,366137,461477,541382,651941,842117,968741,1209844,1316297,1655992,1684022,1862991,1873958,1972468,2164984,2196617,2353348,2384441,2435607,2627295,2802448,2852741,2927992,3039557,3152754,3293991,3319241,3690424,3873988,3901135,4123577,4141958,4151727,4246841,4330022,4345887,4400741,4585157,4681362,4705718,4891877,5011444,5173675,5268182,5455382,5573050,5594297,5642438,5807237,5959097,5974264,6016118,6128815,6208410,6231941,6349287,6622304,6685241,6687660,6721047,6956357,7133504,7354578,7450092,7493944,7558675,7586441,7706057,7765817,7961500,8025192,8061062,8067891,8331941,8430687,8430998,8747237,8755450,9028341,9070410,9101957,9169142,9396677,9468235,9535348,9553800,9675104,9721238,9837257,9983717,10190720,10276037,10351551,10421897,10506540,10683941,10748025,10800197,10884492,10920434,11187158,11200335,11206976,11292857,11361882,11377795,11464560,11668037,11787087,11947024,12098678,12228864,12271241,12323275,12414341,12528244,12607848,12625395,12805135,12897630,12956297,13268741,13273588,13440402,13467088,13478311,13526050,13653354,13693241,13730342,13757472,13947077,14183829,14303992,14347767,14451782,14787930,14811638,14816441,15123077,15150474,15206537,15366162,15477156,15600620,15650441,15773792,15816377,16061944,16091991,16139515,16202441,16231260,16622815,16723877,16983028,17080675,17136662,17187977,17220783,17296841,17313344,17314502,17352388,17566264,17577235,17703941,17745516,18069687,18082277,18293050,18485897,18720744,18818104,18887717,19074617,19254730,19314341,19367418,19477512,19613318,19762047,19947378,19964822,20108741,20273162,20345657,20476997,20496810,20567992,20660537,20663668,20666102,20822263,20869817,21030148,21052517,21060837,21092682,21170367,21416741,21495111,21572357,21805241,21863264,21912201,21951660,21960137,22063241,22286600,22346117,22800715,22927827,22959941,23056450,23105676,23138991,23188937,23214341,23415104,23587444,23771995,23909935,24123557,24198857,24311847,24474341,24481958,24596172,24631431,24679108,24804664,25021711,25053304,25072425,25245497,25319717,25339478,25680115,25852262,26022902,26204741,26326841,26341992,26704022,26743920,26837477,27055241,27079397,27360858,27632777,27667740,27905247,28015241,28075863,28160671,28184967,28229477,28348217,28526394,28526848,28632377,28691922,28703237,28868297,28942675,28961660,29069798,29197241,29220677,29405462,29451835,29512256,29571257,29618834,29634741,29687717,29746090,29780741,29848125,29989577,30086910,30098548,30382277,30474341,30816138,30816244,30818441,31052895,31069637,31241318,31297157,31478597,31573238,31789887,31838000,31916983,31952441,32092704,32167723,32236024,32334115,32378117,32462835,32565542,32572450,32895158,33123088,33201288,33207171,33308837,33675508,33715384,33834341,33943241,34073657,34157050,34308428,34627024,34731210,34753992,34860758,35023622,35042597,35186342,35342202,35453188,35573897,35679557,35695308,35817750,35835782,35890277,35997782,36104292,36218847,36265527,36556399,36573943,36667192,36704441,37046624,37137797,37223668,37240457,37263474,37351449,37608377,37609862,37635962,37912997,37929807,37929844,38090678,38205600,38208235,38215817,38250662,38384824,38456777,38516837,38570198,38634868,38655331,38800938,38835941,38914527,38955402,39014537,39054137,39086940,39098241,39310757,39409615,39496335,39609784,39702917,39994937,40014341,40067763,40229530,40392388,40752640,40803017,40899795,40974341,40988460,41050277,41250591,41277317,41373800,41439567,41446841,41677452,41692736,41727941,41867515,41932937,41988677,42007241,42047078,42074050,42129424,42266297,42312620,42344434,42395237,42542117,42981300,43117675,43138742,43182927,43214777,43268837,43466441,43626448,43721024,43774195,43805477,43840997,43911941,44006392,44387395,44544677,44561007,44686022,44928244,45064037,45147398,45218441,45262063,45303941,45595690,45621748,45627017,45710584,45773391,45846720,45849882,45953890,45963977,46081157,46218902,46330937,46371398,46413797,46502835,46545525,46787215,46828022,46904328,47215241,47291538,47395602,47680517,47775941,47791817,47918537,48275436,48340742,48389177,48504235,48637241,48775877,48903168,48959717,49005497,49012040,49079754,49186152,49241462,49399241,49507191,49603024,49623941,49638857,49648560,49713317,49772741,50241018,50417957,50488860,50519177,50582822,50720441,50775144,50804344,50948537,51146441,51424407,51577560,51620537,51741210,51826757,52112441,52248490,52314341,52461257,52529034,52581991,52593977,52767369,52778441,52833988,52857017,52958464,53002124,53026277,53084678,53264874,53373497,53437157,53521862,53765660,53854784,53926841,54102758,54425464,54524837,54532468,54668357,54714828,54727817,54832939,54907192,54940217,54985658,55010441,55016064,55057097,55113782,55138545,55141743,55144668,55184741,55190624,55334421,55595717,55696841,55797317,55803402,55821715,55854630,55908197,56029241,56040197,56144658,56289977,56299450,56403302,56418617,56688278,56993477,57122037,57135941,57146057,57154887,57256502,57311992,57326777,57346697,57458863,57613514,57681158,57786437,58024755,58030435,58098617,58104518,58107941,58163717,58205082,58237637,58301897,58329317,58386038,58440415,58599557,58607143,58731977,58749497,58784441,58814448,58827941,58836967,58991417,59008457,59033957,59042441,59046495,59087318,59168741,59249908,59252011,59257135,59260217,59578272,59599639,59695241,60002441,60084677,60151241,60224441,60253444,60304037,60396857,60411017,60446600,60474341,60586632,60619577,60741257,60781241,60820937,60840677,61134341,61226441,61228647,61276159,61280837,61316741,61434341,61444742,61457477,61520441,61576841,61654457,61708937,61770591,61815497,61820741,61822095,61840915,61893072,61923941,61929017,62004197,62072741,62089452,62120741,62144441,62241797,62353097,62387657,62536841,62556235,62576441,62584948,62595941,62619077,62630537,62698188,62741177,62783417,62814341,62818744,62877497,62959241,62982928,62986277,63006857,63021317,63129797,63174437,63296741,63314057,63336137,63378437,63390917,63433157,63445637,63448037,63462857,63475337,63519941,63522917,63527237,63529097,63535397,63536357,63560991,63579844,63691628,63790167,64475991,64487992,64518792,64572148,64660090,65136700,65370182,65416714,65641125,65748207,65891683,65902118,65943568,66166254,66220228,66695702,66986058,67025556,67238067,67556635,67559340,68002425,68137142,68159961,68290431,68742195,69168628,69239992,69561158,69629706,69636522,69868994,69924043,70017200,70128498,70244335,70427071,70671087,70796548,70855794,70897144,71108562,71367115,71391111,71474918,71681708,71727638,72063296,72078904,72535920,72548991,72583641,72607622,73107302,73325008,73356278,73976198,74186514,74209098,74346422,74437624,74640700,75067482,75117130,75571142,75614584,75692822,75695007,75717320,75940675,76378423,76419878,76781462,76823215,77371648,77463883,77592108,77620118,77862187,77894991,78096182,78164040,78271675,78332770,78451718,78550940,78769350,79135864,79262071,79759287,79977398,80412868,80540344,80763787,81067962,81071208,81088767,81602910,81872385,82084090,82175992,82228915,82305020,82490634,82501395,82503878,82608031,82642744,83374976,83405318,83724490,83742327,83964038,84020640,84026371,84052810,84293202,84499444,84645730,84653050,84740198,85066407,85181985,85509302,85581327,85640538,86058244,86162918,86367544,86379638,86487782,86672635,86858871,87043104,87246499,87330544,87485367,87528184,87537370,87561302,87774278,87934545,88001488,88228468,88725542,88889695,89027847,89126751,89144582,89154244,89340495,89366050,89568840,89622016,89637295,89645738,89872358,89950735,90078998,90140556,90182102,90254047,90307192,90593078,90607887,90860784,90988040,91107267,91128810,91205109,91610308,91912838,92187858,92213942,92447991,92613398,92812262,92861607,92973087,93002007,93029343,93052652,93086851,93467899,93796848,93926010,93999324,94261128,94382438,94523220,94654468,94822915,95296528,95378104,95535878,95540096,95631062,95726102,96526264,96668582,97163487,97204064,97467125,97498519,97504502,97596662,97688678,97923492,97963862,98246862,98395388,98469207,98500908,98674698,98766024,98867908,99001674,99190311,99230918,99498758,99769915,99853862,99891490,...,2644524411241453048364543494551961675217988951809981412462560636860345947897735758562624694263396205092663479170753534134038553831102403757621696461475850232464474484172435175151249723322782368337415381237883840000784589969312419846331380689165133479013592457128702532308737174025416679166580254956019081615920700795508095675862313063249500029536306623244121744747021003994237821276301692414286816952983104747997780143454605419791232371452324091157538693693094399751571662568253403350858551430399582360510585077415647197539999184364726117016630820170553227447945359798325067615042018417524987517947988396053759310074184768150878230421461237371477436782935396179726920977523337464921335148718285067032563217178291990967966614877864347470487864116957742996968866455747484359519600102178868905925324232907836755555898976132729679503921032316132971048761178224974771831618498262896058252393403924228853121298303119112702180874771086161246740437035066932125868607961203064708185309984264159403618020708314574687606641951883131522609680453296662301611239633663844422100211649778232756720489705354471280651887850812711920634656537285689850649208813226152725804905093262671268742818965518556908242402773168714726342065299806284052777419566537197385097939575792545780476362945652615640661199088889394008643314248565207738461638072003050107541334691804906540933237287183425352491415506609643239464697877014322377105646740110243103330919124318453854858369243824369027505505042354763077208318233146506821935127185128598348517662803043792063430361389274927000212747192401936441812013848249593071201428895251848617175632468241007692724702002917757822829196155967642804604528468781546530974745338430258013156604135477674252883211441542812761462889911527834552836835802728700620316662277768586128794691939515671223145654211731191094815322961528044574182313917239362220918651839463107225926047647400851773055511212215591027418376705905900171476367582306646196239034038770569900354842232275977248013723275998251392323166017723768410615152443434165572554393827262129411693295701817651025757160008045549289238288941949091280497980785462468258457864665752683718447452416885040652600087385828714676530414657039661447148544807382982635446756031973973739483233767114976075692695834407260593650565393430385073708194909567721626999791186034316476771519222205981290550408478275867566425604765691772494851667352815370602844396886717794280439758380676606015226241986648073959463804232329188317869277508990654051747972420085170395038837039998126146321710769312136969}
15943 17385532616227788771572277970708432207831968171225438386447945189: {127496,143433,812073,1448993,1512305,1814766,1894361,2069990,2276417,2452142,2465585,2483988,2526033,2561993,2706230,2810937,2941685,2958702,3229121,3247476,3325817,3503060,3516773,3530022,3659990,3852398,4203672,4391988,4613030,4729131,4756193,4842485,5137961,5227481,5422241,5535636,5794516,5810982,5951462,5994677,6212937,6241816,6264305,6495033,6557201,6948737,7022043,7058577,7467830,7515497,7517166,7902273,8048942,8183073,8277880,8359575,8463657,8465716,8468837,8880833,8916880,8961396,9024177,9194246,9312615,9367430,9806104,9933456,9951875,9994181,10031490,10144838,10453646,10700256,10757188,10939253,11031867,11168561,11175138,11240916,11328857,11783702,11919185,11942250,12037788,12091593,12093880,12434582,12515993,12646497,12734777,12738400,12974777,13133175,13605615,13753713,13802068,14008720,14054201,14178161,14303022,14330700,14331878,14512656,14581857,14637857,14933780,15029102,15149176,15261641,15286080,15370481,15660305,15702353,15716116,15759810,16305152,16326738,16380651,16465841,16591985,16780737,16810464,16833860,16935542,17036021,17042823,17196840,17879990,17920536,17996993,18063401,18148017,18204472,18343296,18512582,18792366,18911772,18971777,19130356,19346445,19406582,19500775,19717240,19910382,19985846,20077430,20160603,20200632,20289075,20480031,20488216,20595513,20636208,21195926,21228785,21455988,21641680,21677673,21690485,21704081,21921641,21957830,22009793,22181895,22217457,22250177,22654862,22725711,22961044,23049243,23215734,23218022,23235173,23400930,23522630,23660688,24092916,24346890,24742598,24771758,24960992,25371446,25474542,25704993,25709990,25823224,25829585,25970016,25971753,26028582,26056337,26090753,26287685,26349396,26596504,26618274,27029462,27329080,27439575,27578801,27706073,27858250,27959417,28081116,28123576,28206521,28227156,28534337,28554038,28660148,28882095,28982702,29051127,29216268,29268880,29308901,29419977,29484305,29500961,29921067,29944022,29947233,30298646,30364337,30409743,30570436,30745215,30807568,30848885,30851988,30995502,30999153,31005830,31316630,31545222,31639023,32083793,32155961,32192693,32415796,32794896,32841908,32927490,33410273,33413897,33429900,33586721,34439537,34584675,34658514,34658561,35122656,35301113,35381166,35658560,36202075,36481144,36722937,36863246,36890320,36894258,37018662,37057397,37206996,37247342,37304681,37434484,37470473,37579956,37623185,38009217,38035192,38118161,38173142,38255896,38505593,38520305,38778393,39034353,39079937,39321062,39484133,39512988,39797500,39996761,40056033,40115880,40292213,40295030,40696097,41041287,41088184,41093561,41403860,41501610,42094385,42144230,42386516,42789591,42790272,42885535,43037883,43041326,43283780,43402646,43442490,43604697,43655657,44108193,44153582,44268384,44276228,44316485,44428251,44453801,44493221,44619135,45130365,45147822,45252737,45833990,46224207,46224366,46308280,46338656,46529585,46685441,46861977,47032961,47122936,47359857,47412305,47593744,47622281,47757000,47981030,48043793,48139056,48288878,48291796,48293585,48354036,48592433,48715337,48750566,48811817,48848313,48858675,49342737,49512230,49684632,49801932,50147993,50478137,50490485,50513262,50573076,50940800,51160577,51235575,51250697,51462642,51619973,51717250,51734584,51886036,51940536,52085381,52096815,52115920,52130988,52291137,52535433,52661780,52779513,52890775,53013303,53179782,53204441,53317958,53398337,53423684,53542962,53565473,53726625,53753673,53776217,53804582,53996673,54156438,54288713,54336182,54479942,54533060,54651280,54766517,54966401,55000788,55007990,55110062,55252756,55569936,55835502,55895211,56160305,56187473,56247542,56414793,56426993,56450873,56453943,56540462,56738501,56803241,56894766,56946977,57027185,57095057,57136017,57138230,57165797,57308400,57375993,57542246,57565313,57577236,57685577,57700622,57855297,57952302,58143521,58201407,58433103,58630410,58728521,58866161,59414676,59823137,60225233,60344295,60584993,60588582,61031188,61128960,61133176,61195973,61265050,61482690,62003780,62035001,62060700,62516178,62524601,62539104,62712518,63055384,63069041,63070617,63111075,63147617,63194136,63468930,63505430,63516651,63709301,63838577,64159382,64367248,64471950,64708113,65132921,65204224,65439672,65521457,65581536,65914313,66009588,66042485,66135278,66162761,66198080,66252655,66819302,66988024,67029033,67207075,67318480,67392366,67700192,67721097,67883846,67965857,68031830,68165585,68186822,68211446,68393535,68432622,68434262,68565876,68633990,68770080,68774823,68870318,68930835,68988280,69243881,69328353,69557097,69812153,69964913,70038712,70242033,70294913,70356492,70397477,70472801,70690997,70937307,70966601,71019832,71093403,71639990,71812457,71831441,71903993,72312401,72413154,72511113,72953104,73295846,73354752,73485782,73518060,73522324,73526224,73535846,73619631,73691141,73777241,73779228,73862193,74012417,74062385,74404536,74472840,74815697,74859544,75258473,75316805,75361527,75558250,75571601,75733290,75874233,76154657,76162716,76206516,76414226,76501961,76587161,76619777,76709033,77001302,77292473,77366340,77606776,77611815,78149942,78231185,78258017,78372735,78419264,78523430,78590837,78607598,78728660,78793551,79018793,79250982,79266326,79437696,79474805,79503186,79579697,79614535,79627017,79897311,80282793,80574182,80609990,80648490,80715185,80782176,80876801,80978582,81089681,81154137,81420875,81515561,81638196,81678326,81798702,82072242,82350161,82360788,82429460,82478487,82524096,82582517,82670673,82717002,82775285,82785936,83384462,83455841,83517977,83597584,83613521,83705103,83781945,84101657,84164246,84182213,84216987,84408257,84449175,84460481,84488417,84604953,84747988,85032417,85053556,85884753,85967988,86025056,86136353,86181233,86420271,86460785,86521737,86549990,86579438,86908697,87156777,87232613,87302417,87307623,87347462,87521500,87579057,87664276,87665921,88221672,88266641,88495685,88621430,88630977,88874862,89306726,89314744,89367408,89602135,89650756,90060593,90079120,90098630,90349001,90380166,90649262,90658001,90669900,90879948,91053908,91055993,91066697,91485941,91591841,91656260,91925093,92167113,92251022,92681798,92839608,92848696,93042593,93047030,93095873,93134178,93300875,93504664,93877422,94000961,94047282,94137881,94203497,94228116,94312603,94442966,94474392,94518230,94646650,94811416,95132462,95188148,95369766,95537442,95653433,96213377,96482441,96604361,96714560,96731988,96742118,96778188,96858222,96990135,97072601,97251281,97418222,97540217,97705050,97769633,98055273,98125071,98188675,98547137,98853177,98915352,98919830,98945464,98995958,99249381,99330342,99661553,99862742,99906566,99951593,...,3526032548321937397819391326069282233623985269079975216616747515813794597196981011416832925684528273456884638894338045512051405108136538343495595281967800309952632645563246900201666297763709824449887174983845120001046119959083226461775174252220177972018123276171603376411649565367222238888773673274692108821227601060677460901149750750999333372715075497658828992996028005325650428368402256552382422603977472997330373524606140559721643161936432121543384924924125866335428883424337871134478068573866109814014113436554196263386665579152968156022174426894070969930593813064433423486722691223366650023930651194738345746765579690867837640561948316495303249043913861572969227970031116619895113531624380089376750956237722654623955486503819129960650485489276990662625155274329979146026133469571825207900432310543782340741198634843639572671894709754843961398348237633299695775491331017194744336524538565638470828397737492150269574499694781548328987249380089242834491477281604086277580413312352212538157360944419432916808855935844175363479573937728883068814986178218459229466948866370977008960652940472628374202517134416949227512875383047586467532278417634870301073206791016895024990425287358075877656537030891619635122753733075045403703226088716263180130586101056727707301817260870154187548265451852525344857752331420276984615517429337400143388446255739875387910983049577900469988554008812857652619597169352429836140862320146990804441225499091271806477825658432492036674006723139684102944424310862009095913502913504797798023550404058389417907148519033236000283662923202581922416018464332790761601905193669131489567509957654676923632936003890343763772261541290190406139371291708728707966327117907010684208805513970232337177615255390417015283853215370446070449114403638267493755549703691448171726255919354228297527538948974921459753763948704059432243085222985816294558202452617476301234730196534469030740681616287454703224502274541200228635156776408861594985378718360759867139789643034636330684964367997668523097554690298357880820203257912220763405858436349505882257727602423534701009546677394065718984385255932121707330641047283291011277152887670244957929936555846720870133449847771619568707219542719548596198059743177310180595674709298631652644311689486634767590261112543014124867420524573846764944259879423628835999721581379088635695358962941308387400544637701156755234139687589029993135556470420494137125862515623725707253011174235474686968322648864098612618405643105584423825703345320872068997296560113560526718449386664168195095614359082849292}
15944 17461722305192428596030255255683401216125206050082816116694197649: {111559,159370,191244,493303,588559,605074,683743,732274,922954,1063759,1082764,1303882,1684234,1937482,2008759,2419688,2478559,2632594,2722149,3104985,3311984,3319663,3368044,3678213,3725982,3747916,3944936,4059345,4329968,4339759,4378825,4393234,4432063,4438053,4706696,4768882,4871214,5254590,5259559,5295033,5461589,5489985,5604896,5705482,5778597,5855984,6079114,6305508,6587982,6638482,6716263,6919545,7243145,7380848,7747976,7802270,8247154,8283916,8303454,8493682,8580341,8660044,8691774,8716473,8777983,8801482,8927193,9170314,9362724,9397903,9411436,9662503,9783754,10022888,10277383,10347350,10536364,10582145,10910764,11062759,11146100,11188594,11201745,11275749,11284876,11409943,11496559,11614474,11918194,11948528,12032236,12073413,12257630,12416820,12444583,12463882,12698574,12872623,13244608,13255529,13298863,13370482,13375320,13442094,13446485,13791369,13912714,14051145,14267008,14709156,14900184,14902159,14987888,15047235,15117350,15172882,15217257,15236383,15412114,15531634,15680469,15923000,15928913,16050384,16122124,16135782,16232143,16561759,16643983,16663882,16762707,16861374,16861996,17252585,17494474,17510900,17675553,17868703,17913375,17927189,18056682,18111703,18140820,18203914,18338284,18651873,18667225,18793354,18917023,18936470,19070696,19107600,19350208,19442476,19645145,19674514,19967434,20111503,20381440,20552074,20703102,20843794,21013080,21042325,21367882,21445663,21454533,21496050,21497817,21600394,21768984,21840868,22220743,22374316,22400670,22413952,22543653,22585714,22595321,22723764,22755590,22912159,22929120,23217583,23271941,23336074,23574174,23639715,23749303,23894048,23912945,24126943,24197356,24457728,24490107,24502783,24542482,24608129,24646550,24802159,24828682,25056488,25215696,25250790,25403313,25471543,25610270,25795260,25912594,26208463,26354983,26537482,26547176,26819985,26880804,26934176,26956622,27052100,27083263,27306708,27386482,27460684,27514944,27768873,27894154,28019263,28188549,28367658,28607984,28695534,28701305,28903564,29109873,29224903,29505559,29571113,29575860,29623276,29632882,29865573,29978769,30116145,30246154,30300948,30413074,30478783,30732324,30822943,30954312,31201240,31300882,31505863,31547584,31632754,31793889,31912159,31921001,32123888,32183982,32248759,32279030,32404882,32462520,32936745,33245630,33247759,33280793,33447754,33473909,33642823,33966056,33982293,34161350,34273324,34375954,34441566,34593682,34626688,34629004,34704776,34823601,34827033,34876759,35101395,35132528,35154470,35197159,35283945,35407882,35491032,35515759,35825185,35952161,36139374,36164554,36460759,36520335,36586100,36772159,36971794,37113897,37157637,37328143,37441488,37636208,37775434,38057169,38149234,38211813,38213045,38509460,38542783,38564985,38628682,38734836,38955024,39042873,39198559,39226636,39524094,39894756,39927411,39929644,40020583,40217482,40426303,40519745,40544193,40546324,40599103,40656559,40691314,40953994,40993620,41052385,41135984,41232569,41321074,41327336,41332204,41644526,41739634,41787375,41790559,42013903,42060296,42105034,42121674,42125143,42185364,42291463,42340734,42567223,42831057,42833482,42950263,42990222,43144714,43167559,43203017,43474053,43610482,43652263,43726528,43824402,43903320,43920274,44126482,44183983,44573200,44692234,44812543,44916033,45225823,45267761,45447969,45583663,45601430,45683573,45855654,45919882,46112900,46211352,46277982,46377874,46428682,46493253,46508745,46537159,46793105,46830208,46974945,47028559,47174888,47317833,47543990,47799823,47819870,47942383,48225559,48247114,48397714,48623694,48645463,48948682,48963916,49192344,49262862,49332343,49358216,49391235,49609328,49647343,49746875,50043422,50106608,50144850,50266759,50484559,50490994,50639434,50678956,51084823,51127159,51360230,51546559,51704524,51754825,51917863,51987771,52045804,52121623,52409482,52563559,52653682,52683984,52983145,53071749,53383063,53408044,53487840,53491529,53573503,53674954,53686903,53874463,54104725,54110482,54158794,54426343,54462559,54642559,54721716,55171759,55173461,55265554,55294869,55335480,55341387,55344559,55345285,55378903,55527993,55810494,55871013,56030482,56050663,56151726,56311303,56321342,56369934,56458954,56662159,56696434,57004303,57052788,57053696,57096103,57156943,57259713,57264754,57383844,57406474,57736594,57885350,57923320,58034983,58119223,58139596,58394482,58395343,58441354,58614521,58810924,58903670,58981593,59024512,59054143,59142514,59237668,59269482,59375434,59492180,59561482,59696250,59808559,59831743,59946583,59979154,60170863,60173820,60197096,60280303,60364745,60442545,60451663,60577159,60760543,60764554,60899143,60948682,61072159,61283873,61329703,61522159,61539223,61632276,61632488,61636882,61689559,61834063,61942423,62091103,62105790,62139274,62142353,62162743,62252415,62273623,62482636,62594314,62715559,62957194,62967559,62976703,63012559,63097159,63128983,63146476,63216345,63244759,63307759,63407623,63468103,63490783,63504823,63550759,63551263,63552343,63579774,63676000,63833966,63904882,64185408,64335446,64472048,64561989,64668230,64756234,64857545,64925670,65103969,65131084,65144900,65163735,65502101,65790316,65827225,66230373,66246176,66402576,66414342,66617674,66779605,67351016,67430768,67668682,67721733,67886482,67905929,68147314,68166325,68314100,68616856,68750985,69065945,69254048,69336549,69462420,69507984,69721516,70047244,70085194,70372684,70435937,70684404,70906376,71147794,71359114,71390616,71635500,71671564,71780554,71971545,71995564,72208584,72433317,72437694,72531054,73112798,73125849,73147886,73334384,73408882,74093248,74268345,74275594,74447336,74480914,74526948,74702898,75216754,75219724,75271924,75769893,75825994,75859614,75859688,76181356,76288985,76411200,76416470,76431634,76501324,76769648,76913554,77033674,77140396,77193963,77269736,77310662,77504725,77575875,77601876,77671882,77829054,77871989,77910804,78029074,78108274,78150401,78173880,78196482,78621514,78785641,78819230,78992670,79219568,79405834,79769673,79976937,79989874,80028682,80135526,80314443,80459060,80706873,80784776,81234657,81242609,81504273,81505280,81606034,81719913,81799590,81816581,81948682,81976920,82100554,82501182,82511985,82554634,82665093,82747600,82879134,82893682,82959989,83231993,83354904,83385472,83455882,83735030,83753253,83865874,83977354,84014482,84094156,84148100,84258848,84371313,84532594,84625240,84688868,84790474,84810693,85084234,85342149,85707345,85962600,86155201,86235350,86277484,86313369,86365854,86429554,86537674,86550933,86577281,86928453,86932882,87252896,87442048,87548390,87578729,87610954,87681994,87823882,87945615,88012784,88774790,89089354,89122014,89372044,89856488,90128074,90265409,90294796,90436882,90524126,90607882,90882873,91191380,91243496,91254034,91421168,91546782,91693440,91699764,91897575,91902905,91907780,91927954,92162314,92224035,92437804,92446453,92661874,92742796,92827594,93005670,93091050,93574430,93656044,93774267,93808656,94068777,94430482,94579289,94583076,94791204,95203395,95258145,95361034,95551882,95583634,95837074,96239073,96550872,96681484,96707925,96778354,97008470,97274482,97510793,97551754,97627673,97806336,97919434,98010994,98024080,98159508,98342069,98372304,98410825,98482924,98798482,99014382,99202917,99206048,99247882,99277714,99297120,99303893,99426634,99545482,99913961,...,5289048822482906096729086989103923350435977903619962824925121273720691895795471517125249388526792410185326958341507068268077107662204807515243392922951700464928948968344870350302499446645564736674830762475767680001569179938624839692662761378330266958027184914257405064617474348050833358333160509912038163231841401591016191351724626126499000059072613246488243489494042007988475642552603384828573633905966209495995560286909210839582464742904648182315077387386188799503143325136506806701717102860799164721021170154831294395079998368729452234033261640341106454895890719596650135230084036835049975035895976792107518620148369536301756460842922474742954873565870792359453841955046674929842670297436570134065126434356583981935933229755728694940975728233915485993937732911494968719039200204357737811850648465815673511111797952265459359007842064632265942097522356449949543663236996525792116504786807848457706242596606238225404361749542172322493480874070133864251737215922406129416370619968528318807236041416629149375213283903766263045219360906593324603222479267327688844200423299556465513440979410708942561303775701625423841269313074571379701298417626452305451609810186525342537485637931037113816484805546337429452684130599612568105554839133074394770195879151585091560952725891305231281322398177778788017286628497130415476923276144006100215082669383609813081866474574366850704982831013219286478929395754028644754211293480220486206661838248636907709716738487648738055011010084709526154416636466293013643870254370257196697035325606087584126860722778549854000425494384803872883624027696499186142402857790503697234351264936482015385449404005835515645658392311935285609209056937563093061949490676860516026313208270955348505766422883085625522925779823055669105673671605457401240633324555537172257589383879031342446291308423462382189630645923056089148364627834478724441837303678926214451852095294801703546111022424431182054836753411811800342952735164613292392478068077541139800709684464551954496027446551996502784646332035447536821230304886868331145108787654524258823386591403635302051514320016091098578476577883898182560995961570924936516915729331505367436894904833770081305200174771657429353060829314079322894297089614765965270893512063947947478966467534229952151385391668814521187301130786860770147416389819135443253999582372068632953543038444411962581100816956551735132851209531383544989703334705630741205688793773435588560879516761353212030452483973296147918927608464658376635738555017981308103495944840170340790077674079996252292643421538624273938}
15945 17538243277345624847336003963248033187339331551601275963908812669: {239055,254992,286866,907611,1098411,1353455,1384431,1624146,1926683,1955823,2117227,2526351,2690311,2897986,2906223,3024610,3451819,3629532,3788722,3930511,3948891,4118359,4139980,4210055,4552834,4684895,4904284,4931170,4967976,5052066,5123986,5412460,5588973,5621874,5742427,5883370,5917404,6408103,6458242,6494952,6589851,6651634,6779479,7006120,7033546,7060044,7153323,7306821,7319980,7704796,7881885,8213579,8407344,8558223,8770027,8783976,8881951,9118671,9226060,9258623,9458262,9512386,9684970,9881973,9957723,10275922,10354895,10454962,10825055,10844482,11071272,11073239,11169967,11589032,11621964,11703405,11764295,11902924,11989354,12370731,12425874,12455181,12483632,12528610,12688919,12740523,12990066,13037661,13114402,13170455,13202223,13360967,13638455,13755471,13897474,13932625,14044086,14106095,14117154,14675631,14935660,14975783,15030994,15034332,15040295,15050191,15521025,15804546,16097884,16366146,16555760,16686859,16719150,16782891,16927314,16931432,16937674,17421711,17761666,17833760,17877291,17922792,18048354,18210919,18386445,18388492,18625230,18695823,18734860,19047861,19612208,19866912,19903750,19988362,20055723,20062980,20152655,20163141,20188507,20289676,20869071,20907292,21077495,21400512,21514376,21878506,21888625,21924427,22063734,22337122,22350276,22421191,22481832,22657714,22676025,22759323,22772123,22922855,23118171,23228779,23297451,23567404,23806079,23838370,23884500,24075576,24183186,24187760,24203673,24303095,24869164,24995823,25031986,25292061,25292994,25469554,25476800,25949554,26241711,26266350,27085023,27211230,27301085,27305871,27507426,27604136,27967895,28017440,28108402,28190031,28356322,28404705,28606044,28661400,28663756,28963979,29025312,29163714,29275714,29323291,29511771,29720299,29867560,29951151,29993183,30058204,30246695,30298352,30366679,30523282,30572160,30740962,30828111,30965611,31054653,31265691,31320610,31404706,31432232,31519620,32051823,32244075,32400591,32610304,32653476,32757007,32761302,32931682,33183970,33561474,33601005,33620928,33667720,33815125,33871084,33878571,34072042,34085646,34102079,34133385,34325855,34393680,35004111,35179919,35361261,35759980,35841072,35993986,36126802,36129455,36161419,36296034,36408944,36686592,36777239,36802759,36813723,36969825,37025164,37029095,37243023,37584732,37823544,37876185,37943554,38260712,38415405,38692890,38813164,38868891,39001550,39434480,39489151,39806223,39820764,39971692,40154860,40321206,40401264,40434933,40578150,40701271,40960062,40976432,41079723,41087591,41191026,41272416,41278027,41693467,41841231,42391852,42457570,42551487,42841655,42911976,43043301,43188439,43283360,43286255,43300763,43355346,43380970,43408162,43843282,43915660,44019586,44363790,44434914,44449323,44500354,44745479,45309724,45336203,45369231,45451422,45619611,45732625,45922088,46098486,46431468,46436044,46470346,46801860,46951323,47045260,47321376,47449131,47561719,47578283,47924207,48136825,48185832,48275973,48418545,48607323,48693780,49033295,49055327,49485196,49543516,49868445,49912055,49921984,50171631,50410943,50682905,50742892,50949084,51098039,51242025,51409986,51419980,51563931,51646448,51659170,51662349,51665255,51786431,51890523,51940032,51943506,52057164,52112674,52181506,52575370,52672459,52683119,52698792,52731705,53111823,53193008,53236548,53750731,53928427,54054071,54058924,54209061,54246831,54658160,54879150,55157602,55173703,55412146,55457691,55716500,55918834,56162232,56247152,56413042,56454312,56663151,57068674,57108076,57223851,57320296,57572671,57641125,57692911,57764190,57943023,57965404,58102254,58432536,58537760,58617802,58839954,58877383,58932139,58968610,59001922,59286141,59463787,59842134,59888044,59894466,60039749,60326223,60501023,60597292,60728674,60819486,61036971,61140872,61204895,61430991,61490430,61615136,61697770,61703976,61981611,61991004,61998306,62011660,62043079,62153419,62466789,62609451,62633260,62665271,63090444,63157551,63182511,63278046,63348695,63511101,63553711,64167586,64250223,64311922,64385386,64485333,64630655,64644079,64717071,64831592,65057255,65141419,65415723,65440223,65516363,65589792,65683816,65736603,65854980,65880411,66129047,66189723,66377227,66760055,66820546,66827794,66859800,67038351,67131103,67173442,67611019,68129207,68402145,68466599,68783481,68879074,68879823,69106283,69169350,69301439,69317028,69317122,69416973,69543791,69566811,69643023,70245312,70602226,70686679,70700071,70762332,71315985,71317120,71729805,72370671,72404150,72596571,72674495,72935541,72962288,73159703,73423023,73445874,73513655,73726492,73780640,73788516,73894293,74037324,74047085,74114794,74365225,74413992,74494684,74542751,74609362,74745719,74868968,74940946,74988359,75065133,75159912,75217275,75246370,75445591,75736491,75959151,76018434,76070384,76236322,76272407,76346284,76511792,77011186,77040345,77040610,77387291,77556786,78068706,78103295,78159874,78463583,78614223,78624427,78642124,78933095,78968266,78980523,79025976,79412939,79453979,79595000,79662923,79838059,79993522,80112066,80231760,80512431,80584426,80590060,81165723,81238191,81392194,81413855,81431125,81690767,82082574,82176368,82187122,82237895,82360687,82807720,82898331,82950047,83003220,83407643,83715741,84045723,84112411,84188770,84227589,84288460,84482013,84529223,84554901,84688431,84716783,84773032,84891703,85044651,85392625,85579182,85580544,85771070,85897131,86075766,86082652,86109711,86209451,86567560,86604891,86805292,86828025,86884980,87151895,87209394,87311314,87559055,87591723,87662031,87965855,88216386,88277863,88307164,88331903,88355505,88418551,88536768,88552456,88563239,88632970,88713771,88856502,88904223,88907602,88986442,89063151,89238270,89342223,89544375,89589455,89968731,89994455,90260730,90295644,90468683,90505474,91105627,91146831,91423023,91667980,91912319,92448414,92448732,92455323,92459479,92616560,92677312,92753717,93056363,93059170,93158685,93208911,93370882,93411679,93723954,93891471,94024655,94065922,94089905,94214879,94245872,94435791,94719714,94824610,95017607,95187488,95226695,95244562,95369661,95431819,95514000,95626655,95750949,95857323,95962060,96087586,96278112,96425495,96503169,96577756,96583592,96587170,96708072,97002345,97077419,97134351,97184866,97388505,97430674,97501132,97623634,97696626,97717350,98526667,98685474,99024460,99369264,99603864,99621513,99926511,...,7933573233724359145093630483655885025653966855429944237387681910581037843693207275687874082790188615277990437512260602402115661493307211272865089384427550697393423452517305525453749169968347105012246143713651520002353769907937259538994142067495400437040777371386107596926211522076250037499740764868057244847762102386524287027586939189748500088608919869732365234241063011982713463828905077242860450858949314243993340430363816259373697114356972273472616081079283199254714987704760210052575654291198747081531755232246941592619997553094178351049892460511659682343836079394975202845126055252574962553843965188161277930222554304452634691264383712114432310348806188539180762932570012394764005446154855201097689651534875972903899844633593042411463592350873228990906599367242453078558800306536606717775972698723510266667696928398189038511763096948398913146283534674924315494855494788688174757180211772686559363894909357338106542624313258483740221311105200796377605823883609194124555929952792478210854062124943724062819925855649394567829041359889986904833718900991533266300634949334698270161469116063413841955663552438135761903969611857069551947626439678458177414715279788013806228456896555670724727208319506144179026195899418852158332258699611592155293818727377637341429088836957846921983597266668182025929942745695623215384914216009150322624004075414719622799711861550276057474246519828929718394093631042967131316940220330729309992757372955361564575107731473107082516515127064289231624954699439520465805381555385795045552988409131376190291084167824781000638241577205809325436041544748779213604286685755545851526897404723023078174106008753273468487588467902928413813585406344639592924236015290774039469812406433022758649634324628438284388669734583503658510507408186101860949986833305758386384075818547013669436962635193573284445968884584133722546941751718086662755955518389321677778142942202555319166533636646773082255130117717700514429102746919938588717102116311709701064526696827931744041169827994754176969498053171305231845457330302496717663181481786388235079887105452953077271480024136647867714866825847273841493942356387404775373593997258051155342357250655121957800262157486144029591243971118984341445634422148947906340268095921921218449701301344928227078087503221781780951696180291155221124584728703164880999373558102949430314557666617943871651225434827602699276814297075317484555002058446111808533190660153382841319275142029818045678725959944221878391412696987564953607832526971962155243917260255511185116511119994378438965132307936410907}
15946 17615096961890318301210331882060895041506433285343401019824994882: {223118,318740,366229,382488,430299,937333,986606,1177118,1210148,1367486,1464548,1845908,2127518,2165528,2165833,2353753,2436219,2607764,2728729,2822293,3102553,3368468,3874964,4017518,4124629,4346979,4536915,4839376,4954393,4957118,5174975,5265188,5444298,5683083,6130355,6209970,6505813,6623968,6639326,6736088,6765575,6829251,6958153,7356426,7396755,7408693,7451964,7495832,7578099,7685979,7767829,7889872,8118690,8432811,8659936,8660629,8679518,8749513,8757650,8786468,8825055,8864126,8876106,9015733,9149975,9413392,9457993,9537764,9630995,9687363,9742428,9898453,9977451,10074133,10140403,10337113,10424629,10509180,10519118,10550319,10590066,10923178,10948213,10979970,11209792,11410964,11532575,11557194,11711968,11728729,12073753,12158228,12245833,12611016,12674773,13016629,13175964,13276964,13432526,13839090,13950793,14187393,14268579,14486290,14527455,14624713,14761696,14815003,14878655,15413883,15495952,15604540,15626953,15682443,16266723,16371829,16494308,16567832,16606908,16987364,17160682,17192629,17320088,17383548,17432946,17518933,17555966,17600329,17602964,17854386,17984031,18006229,18087193,18340628,18638811,18669575,18725448,18732313,18792915,18795806,18822872,18825079,18892873,19133173,19293013,19325006,19485099,19567508,19671603,20045776,20122355,20482633,20554766,20694700,20718613,20846211,21066129,21072728,21164290,21175731,21180203,21656053,21821528,21966229,22125518,22292200,22377188,22403490,22429333,22546491,22551498,22569752,22819886,22985615,22993118,23195413,23228948,23418575,23706819,23836388,23897056,24064472,24146826,24153619,24180553,24515260,24549219,24833640,24889166,24927764,25078725,25302133,25362095,25390971,25397148,25406511,25745246,26134115,26489216,26511058,26553673,26597726,26642499,26740964,26750640,26845129,26884188,26892970,27072531,27280153,27503203,27582738,27640693,27825428,27937845,28102290,28356373,28534016,28640629,28711513,28923733,29418312,29459255,29800368,29804318,29855625,29975776,29982543,30094470,30234700,30345764,30434514,30472766,30667033,30824228,31010293,31063268,31086455,31351753,31360938,31759129,31846000,31857826,32100768,32244248,32271564,32432329,32464286,32720699,32766229,32817759,33032053,33095601,33123518,33164533,33287966,33327764,33362713,33478123,33505683,33525414,33722748,33723992,33986571,34148953,34473493,34505170,34796233,34947679,34988948,35021800,35053129,35351106,35626933,35737406,35757555,35826750,35829695,35854378,36069193,36113364,36223406,36274779,36281640,36407828,36676568,37005013,37190233,37251829,37303746,37334450,37547979,37572755,37586708,37802953,37834046,37863829,37872940,37924633,37939491,38141392,38204331,38215200,38227573,38468629,38700416,38884952,38924331,39066229,39290290,39349028,39399525,39934868,40181827,40181833,40223006,40762880,40815829,40816845,41104148,41261139,41328073,41406204,41687588,41722453,42026160,42084650,42162603,42338855,42534483,42720373,42735764,42891326,42909066,42992100,42995634,43102153,43200788,43264693,43537968,43681736,43745571,43855129,43913571,44252483,44441486,44593993,44646229,44699975,44748632,44801340,44827904,45087306,45113113,45171428,45190642,45447528,45472213,45511180,45784923,45824318,45858240,46111443,46129753,46179829,46281455,46429129,46435166,46543882,46672148,46980915,47107059,47148348,47279430,47498606,47788096,47825890,47839573,47887129,47934613,48170953,48253886,48394712,48405493,48516455,48823129,48869173,48915456,48980214,49005566,49006873,49084964,49141953,49216258,49293100,49397523,49551193,49604318,49657364,49775955,49964615,49996873,50112976,50155259,50193575,50342211,50431392,50435353,50501580,50549279,50780953,50806626,50943086,51058111,51108063,51128469,51206473,51220540,51248629,51590520,51666229,51825188,51831253,52416926,52678729,52709966,52875829,52989815,53071129,53074964,53094352,53418133,53498263,53639970,53761608,53868352,53913244,53983513,53990979,54057673,54104200,54166526,54190203,54241813,54387829,54444051,54532693,54568729,54613416,54772964,54783433,54894575,54921368,55029888,55239733,55308853,55537746,55582453,55788308,56038526,56083033,56311093,56377098,56599129,56637155,56727643,56735316,56881333,56915331,57035593,57215968,57368629,57391068,57402610,57473339,57546613,57807128,58039335,58045055,58204873,58219746,58370329,58449806,58502325,58772629,58806575,58877173,58903129,59011118,59031829,59133493,59142226,59151720,59183893,59246552,59265764,59431573,59731146,59957538,60019273,60109129,60219829,60232290,60414553,60435829,60481809,60492308,60601896,60624073,60665113,60826148,60826393,60846229,60867225,60957566,60963733,61246153,61318729,61440093,61464648,61597513,61645886,61786539,61826329,61856495,61908624,61920073,61929395,61996213,62041033,62402480,62453593,62516053,62576713,62588629,62601764,62647129,62769493,62822233,62853013,62960329,63011726,63041653,63050329,63092629,63095168,63179353,63265508,63277129,63344053,63360793,63366229,63397333,63411913,63416629,63428615,63463753,63478729,63495829,63508213,63546229,63547993,63554329,63559513,63564373,63567433,63587778,63686355,63824318,63842002,64247776,64274975,64367964,64497518,64558060,64809764,64925040,65033019,65071455,65112243,65510347,65764923,65873490,66029379,66491260,66495518,66545685,66561586,66652371,66750531,66895508,66947818,67285646,67573655,67932112,67964586,68177133,68322700,68546648,68751908,68883132,69147729,69187364,69253376,69258008,69409552,69645625,69647202,69654066,69705519,69753518,70202790,70265056,70308940,70394318,70567890,70815764,70982064,71031518,71126099,71385095,71650370,71904322,72278748,72329108,72456755,72921518,73040670,73172200,73544318,73943588,74176403,74227794,74315274,74656286,74860055,74882976,75272416,75550868,75746615,76114338,76298468,76423626,76426090,77018920,77085566,77114979,77129970,77257364,77469672,77483399,77488755,77514575,77910048,77915259,78085746,78169011,78272259,78291575,78397118,78453272,78863055,79048188,79789512,79854822,79859288,80041166,80434964,80852606,81039490,81088386,81092648,81198206,81313118,81382628,81907988,81987240,82104770,82271968,82318725,82465138,82628843,82642148,82654672,82664408,82736403,83118219,83242471,83289052,83479268,83574750,83581118,83878251,84027806,84120592,84210068,84243348,84250286,84370728,84510643,84582926,84619563,84681468,85134446,85603011,85662114,85666964,85900526,85980444,86166047,86289428,86335118,86406034,86646285,86948106,87153381,87220964,87304526,87453056,87648804,87806640,87840548,87926703,88252964,88259931,88367966,88452915,88502883,89146400,89384468,89625086,89763201,89832066,89841699,90292499,90451646,90535522,90800563,90895938,91093011,91167326,91202860,91229229,91367146,91711308,91839764,92096939,92158115,92225800,92235645,92422704,92458091,92546655,92555964,92755748,92857364,92986506,92997459,93017490,93074318,93110303,93118355,93491447,93586210,93660416,93949890,94057118,94349776,94635666,94917069,95087980,95432855,95599646,95639740,95884766,96251379,96291107,96451118,96467883,96494228,96578079,96692323,96795428,97247388,97290926,97897364,97927832,98302655,98384688,98525724,98664686,98716432,98782470,99218656,99294686,99493750,...,10578097644965812193458173978207846700871955807239925649850242547441383791590943034250498777053584820370653916683014136536154215324409615030486785845903400929857897936689740700604998893291129473349661524951535360003138359877249679385325522756660533916054369828514810129234948696101666716666321019824076326463682803182032382703449252252998000118145226492976486978988084015976951285105206769657147267811932418991991120573818421679164929485809296364630154774772377599006286650273013613403434205721598329442042340309662588790159996737458904468066523280682212909791781439193300270460168073670099950071791953584215037240296739072603512921685844949485909747131741584718907683910093349859685340594873140268130252868713167963871866459511457389881951456467830971987875465822989937438078400408715475623701296931631347022223595904530918718015684129264531884195044712899899087326473993051584233009573615696915412485193212476450808723499084344644986961748140267728503474431844812258832741239937056637614472082833258298750426567807532526090438721813186649206444958534655377688400846599112931026881958821417885122607551403250847682538626149142759402596835252904610903219620373050685074971275862074227632969611092674858905368261199225136211109678266148789540391758303170183121905451782610462562644796355557576034573256994260830953846552288012200430165338767219626163732949148733701409965662026438572957858791508057289508422586960440972413323676497273815419433476975297476110022020169419052308833272932586027287740508740514393394070651212175168253721445557099708000850988769607745767248055392998372284805715581007394468702529872964030770898808011671031291316784623870571218418113875126186123898981353721032052626416541910697011532845766171251045851559646111338211347343210914802481266649111074344515178767758062684892582616846924764379261291846112178296729255668957448883674607357852428903704190589603407092222044848862364109673506823623600685905470329226584784956136155082279601419368929103908992054893103993005569292664070895073642460609773736662290217575309048517646773182807270604103028640032182197156953155767796365121991923141849873033831458663010734873789809667540162610400349543314858706121658628158645788594179229531930541787024127895894957932935068459904302770783337629042374602261573721540294832779638270886507999164744137265907086076888823925162201633913103470265702419062767089979406669411261482411377587546871177121759033522706424060904967946592295837855216929316753271477110035962616206991889680340681580155348159992504585286843077248547876}
15947 17692284794146980949628365772060246109214242620908965625350692265: {334677,398425,478110,509984,573732,1479909,1512685,1765677,1815222,1830685,1894837,2051229,2196822,2276989,2307385,2706910,2768862,2976853,3191277,3248292,3259705,3853366,3911646,4025989,4210585,4234454,4598857,4843705,5052702,5074333,5380622,5795972,5812446,5894077,6026277,6049220,6219637,6558853,6581485,6903638,7259064,7435677,7577444,7839193,7861022,7897782,8166447,8214613,8236718,8279960,8411629,8420110,9105668,9314955,9369790,9706957,9808568,9862340,9935952,9958989,10104132,10247972,10304173,10824920,10942009,10983085,11034639,11074633,11177946,11243748,11484854,11613397,11766740,11834808,11922205,12178035,12375973,12816206,12916484,12989904,13019277,13136475,13179702,13296189,13303268,13314159,13362649,13519837,13558958,14012240,14067092,14120088,14181733,14263705,14282413,14305177,14306646,14496853,14613642,14639960,15155077,15197785,15409592,15706309,15763770,15778677,15885099,16384767,16427158,16469955,16470013,16596205,16814688,17040313,17116446,17163037,17335791,17540054,17567952,17763902,18237342,18438637,18452120,18517246,18877753,18916524,19024772,19093837,19141813,19369940,19505675,19667989,19748533,19763946,19915446,20148789,20551844,20617885,20709790,20758635,20909924,21056413,21234205,21650110,21688964,21729435,22003705,22085173,22142544,22146478,22339934,22925785,23178064,23243928,23406810,23528590,23805848,23978708,24153613,24459385,24741462,24851748,24910362,24967264,25057220,25377838,25481046,25741023,25868375,25874893,25980132,26075322,26149419,26228804,26333949,26340910,26404446,26721934,26781579,26912509,27134749,27276910,27510942,27794948,27865250,27971485,28088172,28134457,28193709,28212190,28213717,28234308,28280989,28782037,28987509,29036185,29351262,29508493,29795485,29871320,29951566,30061988,30068664,30080590,30100382,30384457,30560293,30644075,30832149,31042050,31159705,31609092,31746435,32091997,32195768,32732292,33111520,33188277,33373718,33426205,33438300,33565782,33605235,33827247,33854628,33862864,33875348,34024333,34106413,34118677,34229829,34230157,34448293,34489677,34781785,34843422,35446489,35523332,35667520,35754582,35845584,36096708,36220239,36421838,36756829,36772890,36776984,37250460,37314133,37333749,37391646,37469720,37793375,37932205,38095722,38221519,38530285,38617869,38829085,38925637,39155053,39224416,39318733,39733824,39766587,39807500,39896589,39976724,40111446,40125960,40302457,40305310,40326282,40339455,40377014,40579352,41103973,41374107,41659705,41738142,41814584,42098137,42153435,42154990,42345373,42801024,43028752,43690357,43736185,43757012,43777250,43848854,44127468,44324533,44674244,44700552,44706477,44842382,44963664,45141705,45315428,45352050,45509785,45518646,45544246,45651771,45709149,45845710,46143037,46236342,46327993,46358653,46457558,46594902,46983385,47041407,47134808,47341175,47612158,47676740,47769000,47786739,48056197,48151152,48366372,48375520,48407346,48459673,48606190,48696429,49186285,49685277,49738328,49744837,49918585,49931949,49972249,49991646,50009653,50063972,50288121,50417389,50581237,50584122,50585988,50939108,50953600,51104533,51173629,51380185,51633097,51757755,51840733,51899108,52109485,52438453,52483422,52532700,52689817,52779133,53026659,53217973,53419705,53562349,53579149,53606109,53740125,53781567,53845669,54000985,54170046,54335109,54422460,54463453,54602170,54611742,54779629,55014852,55208272,55357909,55935790,55955619,56001675,56034880,56216804,56380062,56464285,56712644,56751069,56809410,56888975,56934637,57109573,57212088,57322800,57327512,57716233,57927958,58050624,58158253,58327428,58340185,58551428,58646582,58881133,58935435,59023542,59078233,59087989,59440598,59541949,59576569,59735120,59902302,59974813,59978317,59986366,60116408,60334509,60493390,60508789,60596704,60600757,60733358,61046564,61144320,61356205,61481924,61616375,61656222,61702117,61931222,62071705,62109306,62531382,62564077,62641220,62809412,62852053,62864464,62872393,63039240,63126975,64025675,64103646,64336989,64363599,64488150,64493451,64781485,64801182,65220608,65306952,65514014,65522604,65863364,66047257,66257413,66343705,66367940,66662229,66736069,66902293,67122948,67202010,67241856,67335440,67391555,67630250,67630959,67742168,67757142,67785963,68144084,68171292,68204158,68266770,68466205,68632429,68646613,68651710,68736477,68787360,69043693,69115069,69652749,69735385,69815823,69829909,69855973,69876877,70008222,70047157,70359838,70596793,70722522,70919145,70956067,71247909,71259037,71501209,71519960,71617753,71682144,71738835,71759833,71987972,72045877,72253604,72258910,72322838,72331357,72380829,72592068,72681997,72817888,72827773,73373184,73470321,73508349,73554478,73605518,73627446,73685749,73824387,73939650,74050328,74058190,74082205,74406477,74486046,74755273,74835013,75169464,75203413,75277717,75497389,75615385,75647088,75752370,75887108,76032685,76209939,76414629,76473277,76521424,76521493,76728469,76830810,77385780,77428429,77626328,77737782,78003100,78252205,78625389,78803989,78868960,78978302,79064949,79081885,79612446,79641528,79943384,79953337,80010589,80309720,80459955,80642412,80697575,80802528,80869866,80897293,81012205,81156300,81212377,81249789,81402542,81532573,81701149,81906949,81920124,81952864,82159446,82175182,82382052,82544832,82556054,82577653,82603513,83114075,83306619,83386934,83539333,83619385,83682462,83844757,84057789,84565647,84783704,84915140,85102974,85403375,85683310,85686853,85761913,85823952,85939885,86086602,86103915,86203069,86375773,86376878,86484205,86566720,86572510,86601526,86710692,86761940,86816324,86890393,86930869,87111853,87324613,87329619,87674709,87686564,87831320,87847117,87886175,88039172,88516677,88519705,88605373,88670989,88688173,88713339,88727580,88849309,88869828,88898646,89000708,89490958,89528077,89596719,89856133,89936307,90348435,90371893,90411385,90482917,90619448,90672406,90738462,90902844,91080157,91239222,91436349,91465250,91844176,91924117,92196972,92429485,92442073,92468829,92607637,92729689,92862936,92872088,92883397,92940692,93464077,93603720,93900157,93902646,94074733,94090520,94149037,94161733,94438585,94517589,94642752,94733389,94898262,95123438,95156566,95204989,95373085,95381667,95677669,95736477,95763003,95848414,96273650,96371664,96551946,96571705,96746277,96837090,97214646,97387560,97483573,98066590,98110654,98572669,98810235,98970392,99087032,99108493,99687037,99736890,99743277,99758053,99824110,99842379,99843968,...,15867146467448718290187260967311770051307933710859888474775363821162075687386414551375748165580377230555980875024521204804231322986614422545730178768855101394786846905034611050907498339936694210024492287427303040004707539815874519077988284134990800874081554742772215193852423044152500074999481529736114489695524204773048574055173878379497000177217839739464730468482126023965426927657810154485720901717898628487986680860727632518747394228713944546945232162158566398509429975409520420105151308582397494163063510464493883185239995106188356702099784921023319364687672158789950405690252110505149925107687930376322555860445108608905269382528767424228864620697612377078361525865140024789528010892309710402195379303069751945807799689267186084822927184701746457981813198734484906157117600613073213435551945397447020533335393856796378077023526193896797826292567069349848630989710989577376349514360423545373118727789818714676213085248626516967480442622210401592755211647767218388249111859905584956421708124249887448125639851711298789135658082719779973809667437801983066532601269898669396540322938232126827683911327104876271523807939223714139103895252879356916354829430559576027612456913793111341449454416639012288358052391798837704316664517399223184310587637454755274682858177673915693843967194533336364051859885491391246430769828432018300645248008150829439245599423723100552114948493039657859436788187262085934262633880440661458619985514745910723129150215462946214165033030254128578463249909398879040931610763110771590091105976818262752380582168335649562001276483154411618650872083089497558427208573371511091703053794809446046156348212017506546936975176935805856827627170812689279185848472030581548078939624812866045517299268649256876568777339469167007317021014816372203721899973666611516772768151637094027338873925270387146568891937769168267445093883503436173325511911036778643355556285884405110638333067273293546164510260235435401028858205493839877177434204232623419402129053393655863488082339655989508353938996106342610463690914660604993435326362963572776470159774210905906154542960048273295735429733651694547682987884712774809550747187994516102310684714501310243915600524314972288059182487942237968682891268844297895812680536191843842436899402602689856454156175006443563561903392360582310442249169457406329761998747116205898860629115333235887743302450869655205398553628594150634969110004116892223617066381320306765682638550284059636091357451919888443756782825393975129907215665053943924310487834520511022370233022239988756877930264615872821814}
15948 17769808215579596227321939398693576857663104856884968675520382276: {175307,446236,461651,637480,652187,717165,732458,747347,764976,860598,937451,969107,1064027,1127267,1411451,1874666,1973212,2072027,2197451,2354236,2385347,2420296,2479187,2722833,2734972,2853827,2929096,3134051,3295233,3320507,3691816,4060365,4153293,4217651,4255036,4331056,4331666,4340867,4402427,4707506,4801787,4872438,5215528,5413547,5457458,5644586,5718227,5780049,5867469,5900651,6052451,6173747,6205106,6351681,6536867,6736936,7244965,7529507,7561525,7579053,7749928,7858451,8035036,8037467,8070933,8249258,8424347,8572787,8582497,8693958,8718669,8780267,9016907,9073830,9194051,9459227,9471805,9488651,9678752,9811787,9908786,9914236,10075451,10104707,10338467,10349950,10355457,10530376,10888596,11366166,11382085,11557307,11791533,11846673,11931707,12247451,12260710,12276107,12327925,12355077,12419940,12505067,12630165,12809965,12932987,13011626,13247936,13278652,13359107,13472176,13483393,13531150,13658502,13916306,14054685,14708425,14712852,14793510,14817386,14822387,14903928,14906147,14991664,15073451,15156198,15212651,15371958,15535658,15656747,15779744,15795107,15905651,16145605,16237380,16291547,16566227,16629085,16766919,16865622,17031347,17227281,17319872,17321258,17359036,17439827,17499026,17515300,17572936,17583865,17650110,17711147,17728252,17752212,17927627,18031466,18116627,18299950,18359051,18761651,18826784,18915986,18922187,19075528,19224309,19261990,19295651,19322267,19374726,19402067,19484856,19769553,19796906,19954902,20148266,20280806,20338437,20354051,20674226,20747651,20830117,20849258,21018360,21038236,21100638,21139451,21180132,21459969,21503507,21659051,21814307,21846356,21896426,21920463,21959940,22419584,22432451,22688651,22821928,22969547,23045987,23065150,23114388,23224067,23300267,23423936,23457458,23645655,23780965,23806427,24147506,24183947,24209051,24212425,24316456,24491666,24640737,24734387,25031149,25222032,25330451,25349546,25674669,25689805,26033258,26137405,26215907,26289227,26310081,26351928,26411267,26553928,26645853,26865052,27111205,27284051,27308147,27356013,27678180,27775869,27901586,28098827,28171297,28217867,28374786,28537158,28715651,28951451,28972580,29054910,29249426,29523392,29560787,29630006,29645919,29757310,29873169,29973385,30671507,30694451,30827766,30831947,30991904,31014827,31037651,31064685,31209080,31253906,31321525,31364886,31966547,32033987,32179861,32191067,32303027,32475165,32533446,32637707,32743658,32786005,32988616,33135664,33213816,33219717,33509901,33958427,33974728,34154051,34175747,34321364,34385258,34640176,34743685,34767096,34801451,34865892,34887227,34930067,35037866,35110215,35111932,35200658,35205928,35292885,35314187,35506933,35653451,35708772,35759051,35843387,35968062,35969651,36012458,36074651,36095627,36174386,36570193,36575867,36587761,36681256,36700451,36783347,36824747,37112193,37277622,37339150,37365543,37450896,37464626,37577485,37585830,37591612,37645744,37650158,37785746,38066757,38221569,38233451,38266346,38534651,38586026,38650012,38669917,38970198,39112983,39135016,39210707,39250187,39329051,39343206,39511365,39606669,40013651,40082901,40091552,40244710,40477427,40707587,40879451,40915365,40965266,41109532,41242957,41266413,41277947,41353451,41389400,41437226,41692422,41747747,41797875,41803787,42008651,42132258,42145456,42175547,42286451,42318285,42328580,42344185,42351462,42360406,42397067,42727187,43181387,43217507,43289651,43312106,43487387,43521037,43643056,43666307,43808867,43915451,43932458,43986347,44026893,44074787,44198267,44251036,44404165,44584400,44754376,44806980,44858666,44927349,44965451,45068867,45092982,45102996,45120885,45139504,45150573,45291947,45394451,45639772,45971230,45986236,46390826,46457896,46552547,46563075,46585547,46799267,46837150,47044187,47076707,47413638,47528627,47672776,47704451,47794112,47847587,47958467,48128944,48194747,48293652,48307238,48361106,48785267,49030451,49030520,49098438,49469627,49559651,49574627,49667280,49759375,49778332,49783451,49855528,49872467,49970905,50060577,50157450,50161573,50284067,50348673,50604266,50724190,50781942,50789747,50794296,50813022,50960867,51173147,51215387,51383627,51490492,51854051,52180547,52265133,52268230,52298389,52449107,52529051,52601857,52806587,52978432,53022116,53107346,53195452,53196947,53284998,53427707,53440451,53481928,53501280,53504051,53618027,53631873,53690258,53706227,53768376,53785940,53893907,53993267,54067451,54145062,54554651,54560306,54632757,54696265,54734051,54793451,54805307,54970451,55006406,55087451,55159335,55165476,55215227,55249907,55281386,55330547,55650856,55705427,55842805,55875690,55939451,56087469,56093507,56204580,56224307,56332427,56418347,56482451,56496253,56644285,56683547,56704547,56712746,56861027,57046427,57056651,57068032,57143583,57209051,57281258,57319667,57423026,57557651,57567467,57742787,57847466,57905987,58169747,58225451,58363451,58418147,58580507,58766651,58836624,58888787,58918510,59069051,59102987,59153651,59195651,59204027,59274397,59443451,59595925,59600736,59608636,59612627,59711250,59715587,59740057,59871347,59951552,59965086,60031451,60038987,60167169,60188027,60188940,60434051,60457965,60469400,60489423,60539651,60565521,60677651,60684467,60691528,60738707,60779051,60839027,60869028,60878651,60945532,60982907,61097747,61191467,61265147,61319651,61334066,61355627,61496651,61559747,61616267,61633067,61648456,61694051,61715987,61797107,61938587,61984451,62020586,62113307,62126536,62172910,62185187,62336987,62429051,62446187,62529947,62534051,62579965,62590667,62607213,62630147,62672651,62703506,62721876,62836451,62867267,62870651,62965307,62996387,63002507,63029651,63139787,63158267,63194051,63196547,63232485,63267707,63341627,63347507,63375827,63386651,63412451,63414107,63518258,63518627,63523667,63537587,63573227,63575651,63583307,63673885,63692000,63715652,64201536,64488496,64543128,64794037,64864658,64873885,64928572,65441398,65532458,65635518,65665875,65773281,66064106,66191202,66247036,66329066,66575932,66655528,66725426,66956246,67011366,67050828,67263573,67445496,67447984,67923037,67973142,68028075,68277969,68297906,68316369,68768565,68946986,69010340,69354513,69592466,69686337,69892353,69895358,69950461,69977896,70043600,70106258,70271005,70702212,70890805,71135053,71253866,71418237,71474812,71515110,71653500,71659390,71708756,72138386,72226728,72446812,72549558,72563280,72611019,72815656,72909285,73189285,73353136,74010026,74185741,74380466,74503658,74607492,74668900,74987469,75095958,75145510,75173416,75605906,75668092,75727658,75745880,75849266,75876183,75878982,76282784,76308205,76408662,76430400,76455146,76852405,76937258,77400832,77769904,77848662,78132458,78301525,78511765,78580580,78698056,78725133,78799050,79292017,79869736,80363654,80363666,80446012,81255069,81263077,81525760,81631658,81633690,81903255,81917613,82208296,82329205,82522278,82656146,82812408,82959925,83375176,83444906,83903685,84052320,84058117,84169300,84325206,84570093,84677710,85068966,85180105,85214115,85440746,85471528,85782652,85818132,85984200,85991268,86204306,86401576,86529386,86599093,86701153,86891937,87075936,87363472,87491142,87710258,87827142,87969873,88504966,88535313,88800061,88882972,89160897,89187986,89292458,89399950,89497264,89602680,89655808,89853453,89979549,89984965,90174612,90226226,90317005,90342856,90381284,90740085,90895056,90944426,91022360,91100037,91569846,91648636,91716480,92108533,92222886,92259506,92359658,92484333,92562910,92858258,92870332,92896833,93087764,93163959,93344296,93797073,93961830,94214118,94296696,94558860,94603117,94858885,94997212,95576192,95651780,95679146,95774258,95869226,96155469,96303229,96341906,96507772,96732225,96789424,96810986,97032910,97201773,97503875,97646258,97652269,97738346,97830912,97960428,98011132,98013746,98169928,98271021,98283906,98432516,98586200,98795046,99102386,99208636,99314728,99551910,99929230,99939133,99993746,...,23800719701173077435280891450967655076961900566289832712163045731743113531079621827063622248370565845833971312536781807206346984479921633818595268153282652092180270357551916576361247509905041315036738431140954560007061309723811778616982426202486201311122332114158322790778634566228750112499222294604171734543286307159572861082760817569245500265826759609197095702723189035948140391486715231728581352576847942731980021291091448778121091343070916820417848243237849597764144963114280630157726962873596241244595265696740824777859992659282535053149677381534979047031508238184925608535378165757724887661531895564483833790667662913357904073793151136343296931046418565617542288797710037184292016338464565603293068954604627918711699533900779127234390777052619686972719798101727359235676400919609820153327918096170530800003090785194567115535289290845196739438850604024772946484566484366064524271540635318059678091684728072014319627872939775451220663933315602389132817471650827582373667789858377434632562186374831172188459777566948183703487124079669960714501156702974599798901904848004094810484407348190241525866990657314407285711908835571208655842879319035374532244145839364041418685370689667012174181624958518432537078587698256556474996776098834776465881456182132912024287266510873540765950791800004546077789828237086869646154742648027450967872012226244158868399135584650828172422739559486789155182280893128901393950820660992187929978272118866084693725323194419321247549545381192867694874864098318561397416144666157385136658965227394128570873252503474343001914724731617427976308124634246337640812860057266637554580692214169069234522318026259820405462765403708785241440756219033918778772708045872322118409437219299068275948902973885314853166009203750510975531522224558305582849960499917275159152227455641041008310887905580719853337906653752401167640825255154259988267866555167965033334428826607665957499600909940319246765390353153101543287308240759815766151306348935129103193580090483795232123509483984262530908494159513915695536371990907490152989544445359164705239661316358859231814440072409943603144600477541821524481827069162214326120781991774153466027071751965365873400786472458432088773731913356953024336903266446843719020804287765763655349103904034784681234262509665345342855088540873465663373754186109494642998120674308848290943672999853831614953676304482808097830442891225952453665006175338335425599571980460148523957825426089454137036177879832665635174238090962694860823497580915886465731751780766533555349533359983135316895396923809232721}
15949 17847668673821748707231315741474455963538973395682882162380280879: {557795,669354,796850,956220,1019968,1098687,1147464,1290897,2117759,2466515,2562959,2690987,2811999,2942795,2959818,3025370,3230339,3327071,3418715,3518099,3531354,3630444,3661370,3789674,4102458,4393644,4553978,4563587,4614770,4757987,5139899,5318795,5413820,5424287,5537724,5894819,5953706,5996939,6382554,6471707,6496584,6497499,6519410,6781187,6951359,7061259,7308657,7706732,7823292,8051978,8186187,8379827,8421170,8466879,8468908,8761451,9197714,9214079,9307659,9687410,9708179,10043795,10105404,10148666,10653467,10761244,11591944,11614859,11624892,11788154,12052554,12098440,12177659,12373887,12377531,12392795,12439274,12979679,13040937,13117706,13162970,13521539,13610745,13781471,13807276,14284211,14518128,14863179,14871354,15154888,15267407,15376319,15524925,15678386,15722044,15795564,15988139,16332894,16429226,16473436,16559920,16598315,16691087,16823258,16840220,17049249,18211336,18215507,18391065,18629910,18739580,19413914,19517439,19617136,19681019,19724680,19798619,19871904,19917978,19969187,20179667,20208264,20296725,20487753,20495944,20608346,20874459,21276899,21393791,21649840,21698795,21884018,21894125,21966170,22069278,22149266,22160315,22190265,22226079,22355892,22487496,22734297,22969708,23057937,23226794,23234687,23243987,23303487,23533480,23669616,23844410,24356070,24438719,24751946,25298433,25632412,25832968,25979808,25981887,26038554,26100659,26222207,26248539,26272950,26297795,26359404,26475165,26592378,26606536,26628318,26725298,27039674,27047199,27117916,27307945,27449925,28024480,28054571,28134184,28240176,28363466,28373979,28527410,28545179,28564826,28610354,28613292,28865039,28892985,28993706,29006111,29062089,29227284,29279920,29320019,29695359,29727887,29932353,30222399,30310154,30395570,30421209,30579419,30805187,30819184,31011339,31099499,31273887,31412618,31527540,31557354,31650957,31770198,32051039,32096099,32168159,32769534,32844639,32854316,32939910,32940026,33192410,33422987,33581315,33629376,33959099,34080626,34232892,34243139,34326074,34452671,34597725,34671582,35080108,35135904,35186187,35527804,36215725,36221259,36474684,36502367,36737499,36877274,36904240,37034492,37484687,37755506,37833048,38024319,38049544,38132639,38187674,38283626,38739880,39011350,39049887,39160079,39335978,39497066,39527892,39653219,39830892,40297578,40307579,40650659,40711619,41103688,41235770,41419580,41517270,41704031,41713679,41819848,41852379,42112826,42468410,42562179,42805737,42901705,43300220,43377928,43458870,43582365,43623587,43874139,43889915,44007410,44170346,44285088,44292956,44445009,44510099,44635965,44679868,45851570,46241649,46356128,46487856,46703327,46796687,46813620,46880859,46989515,47047329,47050859,47057180,47245379,47611696,47719067,47957416,48307226,48312515,48694499,48800169,48830399,48918770,49115487,49482924,49523027,49703496,49820724,49934528,50114440,50471039,50755676,50962092,51386915,51482046,51577887,51639659,51736750,51749786,51960264,52105139,52150644,52298838,52383539,52457608,52556799,52667898,52681820,52800987,52808892,52910725,53105087,53224739,53418611,53443868,53563158,53825018,53942399,53952093,54018687,54160811,54261579,54269498,54360719,54553820,54787499,55021884,55313795,55589896,55730500,55916433,55942970,56008725,56176344,56196939,56268914,56378745,56387418,56424380,56427434,56468616,56472287,56475237,56561978,56678619,56825087,57049715,57116831,57399519,57482795,57564074,57707579,57832907,57879039,57975018,58072370,58323587,58455297,58702524,58750799,58888619,59014809,59016986,59478911,59584187,59590970,59742640,59903132,60123976,60137328,60161180,60200764,60248099,60367065,60531659,60768914,61120586,61219187,61230659,61288150,61447899,61664298,62084100,62155839,62169167,62222915,62319410,62375339,62538633,62548319,63198387,63218184,63492870,63527193,63540609,63713699,63733499,64111007,64183994,64363115,64365899,64391536,64865471,64968159,65464584,65776739,65898687,65939339,66223040,66225779,66277645,66376554,66494315,66747436,66852410,66876600,67131564,67210470,67232425,67287999,67639473,67654494,67709256,67725728,67750696,67867547,68048666,68123819,68212826,68237354,68459658,68460314,68503427,68860799,68896586,68956845,68979354,69563570,69586239,69686844,69838787,69886019,69991487,70255725,70892978,71046664,71120457,71335040,71509164,71510387,71691168,71932259,71982479,72150227,72193416,72440478,72460857,72541659,72843676,72953279,73513658,73545780,73553968,73647657,73805327,74040539,74279699,74500920,74510795,74628266,74667498,74773151,74783292,74787587,74939440,75236175,75287339,75586750,75601379,75864410,75906399,76086285,76172913,76181915,76183571,76191444,76219533,76443038,76708787,77060570,77235738,77321819,77658170,77851274,78287999,78310106,78402345,78448832,78637466,79049999,79467648,79533174,79615000,79644565,79661019,79793178,79927497,79953448,80043371,80222892,80251920,80535387,80604914,80610620,80652564,80678910,80754028,81120539,81158704,81160715,81217593,81676259,81840459,82207946,82509609,82557059,82614011,82748214,82771007,82808795,82922079,83108699,83219915,83319410,83476284,83550011,83629168,83645279,83813535,84133919,84196274,84214187,84306870,84309980,84690746,84744671,85069119,85602048,85898687,85921887,86057504,86134539,86262925,86771199,86900387,87335711,87380714,87472370,87514024,87554500,87697708,87786827,88024019,88056707,88254936,88300307,88377765,88441379,88649066,89224187,89343515,89348488,89401104,89412954,89566875,89635945,89684764,89927328,89947629,90283410,90558515,90630856,90694079,90704100,91019570,91037292,91088492,91101299,91201499,91303542,91418298,91691420,92001099,92286074,92292671,92453939,92472684,92607647,92655986,92717306,92881187,92915116,93030879,93119567,93131987,93189804,93259365,93336125,93435347,93966770,94055259,94082814,94239359,94269616,94348177,94585115,94682350,94982219,95224316,95277387,95353480,95538000,95573478,95852687,95937599,96112394,96302304,96732744,96751040,96814692,96919346,97212380,97263707,97296987,97392858,97496267,97629539,98162097,98225725,98298687,98372570,98453277,98551631,98659619,99096159,99286803,99370554,99476656,99489674,99493599,99699779,99837170,99863898,99944498,99983292,...,31734292934897436580374521934623540102615867421719776949550727642324151374772829102751496331160754461111961750049042409608462645973228845091460357537710202789573693810069222101814996679873388420048984574854606080009415079631749038155976568269981601748163109485544430387704846088305000149998963059472228979391048409546097148110347756758994000354435679478929460936964252047930853855315620308971441803435797256975973361721455265037494788457427889093890464324317132797018859950819040840210302617164794988326127020928987766370479990212376713404199569842046638729375344317579900811380504221010299850215375860752645111720890217217810538765057534848457729241395224754156723051730280049579056021784619420804390758606139503891615599378534372169645854369403492915963626397468969812314235201226146426871103890794894041066670787713592756154047052387793595652585134138699697261979421979154752699028720847090746237455579637429352426170497253033934960885244420803185510423295534436776498223719811169912843416248499774896251279703422597578271316165439559947619334875603966133065202539797338793080645876464253655367822654209752543047615878447428278207790505758713832709658861119152055224913827586222682898908833278024576716104783597675408633329034798446368621175274909510549365716355347831387687934389066672728103719770982782492861539656864036601290496016301658878491198847446201104229896986079315718873576374524171868525267760881322917239971029491821446258300430925892428330066060508257156926499818797758081863221526221543180182211953636525504761164336671299124002552966308823237301744166178995116854417146743022183406107589618892092312696424035013093873950353871611713655254341625378558371696944061163096157879249625732091034598537298513753137554678938334014634042029632744407443799947333223033545536303274188054677747850540774293137783875538336534890187767006872346651023822073557286711112571768810221276666134546587092329020520470870802057716410987679754354868408465246838804258106787311726976164679311979016707877992212685220927381829321209986870652725927145552940319548421811812309085920096546591470859467303389095365975769425549619101494375989032204621369429002620487831201048629944576118364975884475937365782537688595791625361072383687684873798805205379712908312350012887127123806784721164620884498338914812659523997494232411797721258230666471775486604901739310410797107257188301269938220008233784447234132762640613531365277100568119272182714903839776887513565650787950259814431330107887848620975669041022044740466044479977513755860529231745643628}
15950 17925867622702823722539158088799755680327930861602123452879654198: {207181,350614,493489,588781,684001,892472,923302,969229,1004031,1159021,1195275,1274960,1304374,1434330,1464916,1494694,1529952,1721196,1874902,1938214,2009521,2128054,2254534,2573281,2822902,3320929,3507121,3749332,3946424,4144054,4249009,4394902,4433761,4439727,4538055,4708472,4770694,4802401,4840592,4958374,5169889,5297031,5444749,5445666,5469944,5492055,5684511,5707654,5718961,5858192,6153687,6268102,6356269,6590466,6641014,6767275,6809329,6830967,6922155,7080301,7383632,7710049,8068321,8120730,8306586,8435302,8510072,8662112,8663332,8681734,8804854,8870221,8930559,9224749,9415012,9489889,9573831,9603574,9633415,9666289,9744876,9779115,9842401,10106029,10142951,10281421,10431056,10543969,10586135,10805869,10827094,10914916,11154061,11289172,11414449,11436454,11501101,11560098,11734938,11801302,12077967,12104902,12277729,12347494,12410212,12535309,12631755,12703362,12963169,13073734,13219021,13260527,13451555,13473872,13796571,13813489,14067181,14488561,14489930,14531115,15059014,15123050,15158106,15222999,15242509,15499856,15716902,15824881,15934919,16070072,16074934,16141866,16498516,16650721,16732909,16848694,17060941,17145574,17164994,17259095,17306209,17387916,17437338,17560534,17682231,17875981,17933951,18033814,18078831,18147660,18199981,18388102,18658911,18918454,18943610,18977302,19004941,19324909,19357504,19623574,19652555,19676559,19744455,19817572,19828472,20150902,20209414,20356849,20591795,20676934,20699900,20710914,20985841,21050275,21060752,21298609,21532429,21777192,22075489,22230001,22307031,22307149,22603847,22732332,22764170,23074669,23114614,23280719,23303521,23424475,23517579,23583066,23683501,23693346,23834989,23863414,24212449,24494902,24499341,24521420,24552214,24617411,24643839,24655850,24710154,24839880,24887341,25010134,25185421,25234887,25260330,25482349,25619930,25865974,26023252,26292961,26439409,26495872,26557304,26718214,26944352,26966786,27062300,27312049,27317004,27744481,27832612,27944865,28102861,28109370,28245709,28712135,29120871,29416850,29425704,29582267,29587020,29588401,29634772,29644774,29798029,29807856,29812294,29876967,29983328,30146902,30312396,30425302,30492109,30698929,30743916,30912519,31042189,31071316,31178989,31313494,31559488,31590214,31811302,32040515,32291210,32330161,32474760,32583094,32826027,32931181,32949255,33103917,33132454,33223899,33258170,33293351,33328621,33533838,33731244,33897395,34050529,34062694,34180849,34454562,34639744,34642516,34718072,34840191,34879654,34998052,35030600,35145872,35167730,35300220,35340769,35422294,35456504,35504424,35595361,35766615,35855254,35965727,36062932,36101089,36233254,36477361,36534105,36592367,36599900,36718102,36726769,36851041,37127919,37345249,37406701,37523302,37653568,37712881,37831972,37844374,37955687,38017261,38151056,38448618,38523980,38560609,38591302,38644534,38749452,38804134,38969712,39057831,39409425,39453229,39539106,39593812,39888567,39909804,39922669,39942477,40039309,40087947,40296532,40502989,40559511,40561612,40675681,40676874,40708102,41067895,41076109,41303341,41348452,41495302,41660234,41698516,41866381,41962739,42033889,42036720,42076472,42201276,42278902,42311629,42360264,42422221,42545199,42791115,42847239,42915531,42919938,42970861,43007014,43219319,43242481,43318102,43490559,43566049,43628614,43692712,43726861,43792852,43833709,43840926,43850135,43919880,43940269,44099569,44205409,44409755,44521201,44839168,44864902,45093421,45299341,45377302,45401869,45465231,45593355,45643856,45656929,45700811,45900407,45939094,46091974,46111501,46130300,46228776,46293115,46448134,46600534,46609741,46807021,46847872,46914916,47052001,47118927,47291310,47336031,47343601,47561930,47612854,47655297,48013921,48295012,48367894,48418102,48424850,48632912,48641159,48670129,48808909,48983332,49154301,49281474,49409865,49410039,49468774,49493089,49583089,49788615,49806829,49895821,50062298,50444064,50510701,50554081,50660902,50699092,50983921,51120939,51153841,51349338,51379610,51406561,51489111,51573601,51615181,51774475,51986161,52007373,52066516,52189741,52274810,52351309,52431814,52471729,52551649,52578454,52608479,52620162,52631281,52703856,52822534,53107856,53291706,53450029,53526349,53715889,53730104,54125275,54163441,54222410,54492301,54568102,54616294,54708301,54712026,54815329,55097569,55315911,55356360,55366195,55409581,55443889,55551738,55783009,55803172,55849835,55883341,56049121,56197654,56342594,56435734,56567521,56633259,56749572,57067489,57074316,57159181,57219949,57281511,57425439,57431302,57578509,57869389,57902902,57945160,58109820,58181041,58347361,58498852,58517025,58821475,58830769,59003967,59038129,59046784,59089249,59114701,59121574,59215789,59245599,59260012,59281859,59291838,59514620,59746338,59868001,59946770,59960161,60005809,60051169,60163309,60207661,60317281,60446367,60488929,60510061,60552109,60697009,60798349,60917581,61343014,61388902,61509709,61561441,61578541,61655532,61663894,61729201,61807187,61853655,61905421,61983808,61997869,62029654,62075302,62129370,62131681,62165831,62203501,62273521,62275905,62314669,62408161,62418160,62460001,62507812,62547949,62643050,62701921,62729772,62757901,62884909,63019981,63029089,63055981,63064801,63142871,63157069,63169239,63172909,63211249,63233389,63282529,63364429,63381601,63429229,63439021,63444595,63475309,63487729,63514189,63517681,63534061,63545869,63553969,63566029,63598861,63702615,63933094,64067974,64359722,64382134,64606054,64950330,65066892,65188305,65275414,65487316,65572010,65852275,65977232,66011115,66255519,66271328,66427632,66439434,66768299,66804835,67019802,67916854,67949456,68192275,68308102,68351494,68642728,68770516,68777355,69280352,69487370,69534192,69602902,69663125,69731784,69774454,69860134,69959267,70075732,70220430,70223864,70401316,70411856,70530475,70585770,70628374,71013866,71306902,71417544,71518102,71686774,71936124,71939302,72024916,72149302,72191254,72348772,72460839,73140386,73151734,73175522,73362512,73378155,73400902,73566694,73649494,74224386,74555244,74678300,74731086,74878915,74901792,74929252,75154970,75171660,75183224,75201475,75250955,75291488,75300316,75571492,76133514,76443138,76466902,76532692,76574771,77069302,77172052,77223069,77300024,77339834,77605125,77624679,77940396,78179927,78225966,78270032,78421414,78448257,78500374,78658102,78686412,78815407,79001847,79022730,79213338,79301999,80027302,80165802,80183104,80344737,80489420,80737527,80954854,81404247,81415174,81758902,81830730,81930532,82219064,82485914,82532826,82555894,82706902,82778800,82874452,83384844,83434295,83495494,83595750,83607574,83914455,84017302,84068699,84264516,84290912,84351094,84403371,84572902,84581127,84636570,84641151,84657160,84688370,84702924,84720812,84794134,84842967,85454374,86346111,86362774,86435014,86579302,86624212,86962527,86974774,87042074,87108555,87286112,87332614,87611951,87617734,87830902,87864916,87972694,88053786,88149574,88396534,88502072,88525479,88808330,89143439,89168800,89386455,89508752,89613960,89717332,89854698,89930902,90137734,90185964,90205992,90241770,90279008,90301146,90315247,90583894,90788902,90823439,91054595,91153371,91279544,91680879,91932225,91942460,91972472,92496447,92781652,92915792,93105094,93126150,93171094,93479115,93598534,93674300,94088374,94153414,94827276,95057254,95239305,95345552,95408902,95588224,95695174,95916934,96257888,96275991,96389494,96587304,96614476,96722212,97570534,98060902,98061040,98196876,98379407,98939254,99119302,99149254,99247127,99334560,99341411,99518750,99556664,99564831,99566902,99711056,99744934,99941810,...,47601439402346154870561782901935310153923801132579665424326091463486227062159243654127244496741131691667942625073563614412693968959843267637190536306565304184360540715103833152722495019810082630073476862281909120014122619447623557233964852404972402622244664228316645581557269132457500224998444589208343469086572614319145722165521635138491000531653519218394191405446378071896280782973430463457162705153695885463960042582182897556242182686141833640835696486475699195528289926228561260315453925747192482489190531393481649555719985318565070106299354763069958094063016476369851217070756331515449775323063791128967667581335325826715808147586302272686593862092837131235084577595420074368584032676929131206586137909209255837423399067801558254468781554105239373945439596203454718471352801839219640306655836192341061600006181570389134231070578581690393478877701208049545892969132968732129048543081270636119356183369456144028639255745879550902441327866631204778265634943301655164747335579716754869265124372749662344376919555133896367406974248159339921429002313405949199597803809696008189620968814696380483051733981314628814571423817671142417311685758638070749064488291678728082837370741379334024348363249917036865074157175396513112949993552197669552931762912364265824048574533021747081531901583600009092155579656474173739292309485296054901935744024452488317736798271169301656344845479118973578310364561786257802787901641321984375859956544237732169387450646388838642495099090762385735389749728196637122794832289332314770273317930454788257141746505006948686003829449463234855952616249268492675281625720114533275109161384428338138469044636052519640810925530807417570482881512438067837557545416091744644236818874438598136551897805947770629706332018407501021951063044449116611165699920999834550318304454911282082016621775811161439706675813307504802335281650510308519976535733110335930066668857653215331914999201819880638493530780706306203086574616481519631532302612697870258206387160180967590464247018967968525061816988319027831391072743981814980305979088890718329410479322632717718463628880144819887206289200955083643048963654138324428652241563983548306932054143503930731746801572944916864177547463826713906048673806532893687438041608575531527310698207808069569362468525019330690685710177081746931326747508372218989285996241348617696581887345999707663229907352608965616195660885782451904907330012350676670851199143960920297047915650852178908274072355759665331270348476181925389721646995161831772931463503561533067110699066719966270633790793847618465442}
15951 18004406522274317374817764469123866817223783733375908226803043576: {525921,780913,1115590,1338708,1384953,1593700,1831145,1912440,1956561,2039936,2151495,2197374,2242041,2294928,2581794,2812353,2907321,2977601,3192081,3381801,3453121,3931993,4119913,4234353,4235518,4686665,4786201,4933030,5125918,5381974,5623998,5744593,5885590,5919636,6050740,6216081,6410521,6460678,6592353,6654142,6837430,7036198,7062708,7156041,7260888,7322740,7437561,7446313,7579348,7648381,8168499,8204916,8561481,8787288,9107956,9127174,9229540,9262121,9365689,9402153,9515974,9885699,9961521,10279798,10306769,10637590,10827640,10829165,10848574,11075448,11768765,11789638,11907412,11993878,12181095,12459879,12590461,12652953,12693713,12765108,12943414,12981313,12993168,12994998,13022601,13038820,13207281,13562374,13643645,13902718,14061313,14111465,14122518,14308781,14405361,14617314,14981441,15269329,15413464,15512765,15646584,16103956,16240641,16287193,16372374,16759654,16842340,16933758,16937816,17154681,17167361,17340147,17349913,17522902,17602407,17701953,18157353,18395428,18428158,18521241,18615318,18882509,19055043,19374820,19416358,19610601,20087590,20210808,20297332,20623145,21164041,21306934,21522488,21734895,21735613,21996433,22588521,22684575,22737159,22780769,23183888,23229718,23237641,23249784,23575353,23576308,23815121,24105108,24112401,24196880,24212799,24355318,24747774,24755062,24771965,24785590,24878548,25273041,25718361,25747491,25874875,25881449,25959358,26081874,26156007,26235412,26325940,26340801,27043078,27050721,27221490,27562942,27582153,27614552,28377681,28415415,28465953,28568422,28975001,29036256,29435361,29726358,29742708,29989369,30004601,30226353,30309776,30314121,30378313,30534814,30651775,30752638,30989881,31015401,31024441,31033409,31049850,31066371,31356772,31444088,31591128,31976278,32529065,32665788,32769433,32858452,32946872,33088649,33119840,33196630,33382174,33646516,33680440,33827875,34098498,34146255,34671921,34790765,35193281,35374599,35540019,35795121,36422672,36431014,36742353,36782130,36791213,36816913,36828321,36983775,37043465,37065231,37259820,37479160,37515201,37890495,38231123,38429895,38798961,38827828,38839145,39034878,39234272,39362038,39449360,39597238,39743808,39835956,39938374,40077321,40359334,40416528,40450179,40593450,40716793,40975506,40991888,41216692,41748918,42164055,42553798,42787582,43139161,43299680,43303145,43397590,43747565,43768036,43788250,43932340,44125275,44138556,44298532,44320630,44335841,44380530,44452158,44467161,44711784,44718441,44762513,44974992,45078665,45220353,45468594,45637953,45749875,45939416,46115874,46353101,46370489,46453588,46469374,46487974,46606974,46970241,47013841,47066960,47289965,47339232,47385321,47579761,47596361,47688820,47716953,48154975,48436815,48712140,48874641,48877438,49492265,49503892,49698681,49757441,49887255,50300757,50370665,50430281,50503681,50596866,50702015,51094041,51264824,51665936,51681843,51685565,51806093,51959616,51963774,52077108,52123145,52201318,52319481,52444414,52497078,52545900,52595590,52703213,52718808,52751595,52950330,53133441,53184756,53213072,53256636,53450596,53466809,53782881,54079348,54094398,54235832,54349881,54615890,54741065,54899850,55077153,55194841,56048960,56109142,56268368,56284953,56395261,56480352,56726932,56747958,56766561,56767213,57054820,57090358,57129652,57220708,57226584,57662875,57672927,57714913,57730078,57785970,57886953,57966801,57987412,58012222,58124178,58206201,58454568,58559840,58640038,58643645,59308659,59390718,59455774,59486473,59864706,59990009,60062387,60368765,60444798,60538001,60620308,60791140,60842418,61015311,61062153,61158838,61229165,61445881,61529369,61610374,61638368,62022678,62198998,62242953,62490351,62547774,62825236,63055080,63114708,63301914,63373865,63418353,63540396,64102078,64192198,64336318,64379907,64510521,64668601,64838633,64977153,65083145,65442921,65465069,65539068,65689278,65708632,65761389,65785321,65879820,65880052,66384820,66542729,66845974,66919361,67156921,67162630,67258752,67297353,67637521,67918198,68065953,68155133,68161252,68347981,68465784,68486278,68652148,68905342,68908641,69132641,69137961,69195450,69327761,69343164,69672201,69753965,69900801,70065041,70160216,70271808,70372374,70433101,70936965,71002513,71055608,71277161,71342895,71419281,71941681,72431450,72442518,72551841,72627153,72637275,72949368,73004734,73123565,73187501,73474998,73754548,73808480,73922211,74068984,74075015,74183113,74203161,74393275,74571053,74969374,75016841,75093447,75511012,75516881,75666096,75991353,76048638,76099088,76265278,76375348,76567252,76659193,77024007,77069415,77416673,77439313,77479760,77907821,78022700,78099774,78134765,78320158,78412215,78647721,78671956,78867681,78930243,78994132,79012733,79055784,79233801,79306438,79443113,79484801,79661784,79693169,79869601,79937559,80207101,80475913,80595156,80615158,80638489,81301318,81333615,81423238,81464009,81852153,81859145,81924441,82068039,82207376,82471540,82839160,82981553,83034540,83327607,83408062,83427358,83639696,83704758,83866001,84144673,84225652,84296481,84513891,84561341,84653601,84936820,85124358,85611474,85803410,85963145,86146953,86600440,86755856,86854353,86917740,87112081,87134009,87164730,87247174,87594665,87748278,87779830,88001645,88014820,88311529,88340692,88570176,88585912,88596941,88682361,88890018,88937757,89020198,89271930,89359736,89550761,89619507,89920155,90031145,90108361,90435965,91703140,92014521,92083353,92483298,92495841,92631281,92712256,92788703,92886193,92975712,93044481,93091721,93092041,93112953,93194055,93347875,93406654,93501581,93593374,93627240,93661565,93761718,93964575,93979030,94094641,94094658,94098569,94101718,94114360,94125395,94251641,94464365,94490758,95223392,95229761,95438134,95665865,95899641,95914832,96101961,96283949,96465065,96539583,96573201,96614452,96625030,96909081,97114361,97388998,97425495,97600338,97660798,97820281,97837540,97913121,98114689,98230974,98358015,98965848,99046054,99189721,99406992,99641448,99659151,99783329,99869056,...,71402159103519232305842674352902965230885701698869498136489137195229340593238865481190866745111697537501913937610345421619040953439764901455785804459847956276540811072655749729083742529715123945110215293422863680021183929171435335850947278607458603933366996342474968372335903698686250337497666883812515203629858921478718583248282452707736500797480278827591287108169567107844421174460145695185744057730543828195940063873274346334363274029212750461253544729713548793292434889342841890473180888620788723733785797090222474333579977977847605159449032144604937141094524714554776825606134497273174662984595686693451501372002988740073712221379453409029890793139255696852626866393130111552876049015393696809879206863813883756135098601702337381703172331157859060918159394305182077707029202758829460459983754288511592400009272355583701346605867872535590218316551812074318839453699453098193572814621905954179034275054184216042958883618819326353661991799946807167398452414952482747121003369575132303897686559124493516565379332700844551110461372239009882143503470108923799396705714544012284431453222044570724577600971971943221857135726506713625967528637957106123596732437518092124256056112069001036522544874875555297611235763094769669424990328296504329397644368546398736072861799532620622297852375400013638233369484711260608938464227944082352903616036678732476605197406753952484517268218678460367465546842679386704181852461982976563789934816356598254081175969583257963742648636143578603084624592294955684192248433998472155409976895682182385712619757510423029005744174194852283928924373902739012922438580171799912663742076642507207703566954078779461216388296211126355724322268657101756336318124137616966355228311657897204827846708921655944559498027611251532926594566673674916748549881499751825477456682366923123024932663716742159560013719961257203502922475765462779964803599665503895100003286479822997872498802729820957740296171059459304629861924722279447298453919046805387309580740271451385696370528451952787592725482478541747086609115972722470458968633336077494115718983949076577695443320217229830809433801432625464573445481207486642978362345975322460398081215255896097620202359417375296266321195740070859073010709799340531157062412863297290966047311712104354043702787528996036028565265622620396990121262558328483928994362022926544872831018999561494844861028913448424293491328673677857360995018526015006276798715941380445571873476278268362411108533639497996905522714272888084582470492742747659397195255342299600666048600079949405950686190771427698163}
15952 18083286838836257389726490373058491449321132401637133516525387951: {414362,461767,701228,986978,1127551,1177562,1368002,1673385,1784944,1846604,1938458,1992125,2008062,2318042,2354647,2390550,2549920,2608748,2823367,2868660,2929832,2989388,3010351,3059904,3296061,3442392,3749804,3872691,3876428,4019042,4218727,4256108,4403551,4509068,4864351,5146562,5645804,5962927,6235951,6353277,6641858,7014242,7399545,7411567,7498664,7563425,7591351,7688877,7860487,7892848,8072961,8288108,8435997,8498018,8752927,8789804,8828385,8867522,8879454,9076110,9107887,9153425,9416944,9474185,9541388,9604802,9681184,9691017,9916748,9981213,9990247,10256145,10339778,10428727,10554297,10594062,10889498,10891332,10939888,10952527,10984110,11369022,11384945,11415308,11437922,11536925,11716384,12307374,12422551,12536204,12712538,13180932,13282028,13486781,13534550,13618658,13661934,13690761,13844310,14160602,14273961,14714527,14767264,14820589,14884265,15133207,15419697,15420098,15799351,15956385,16136642,16241460,16272861,16298525,16460887,16613172,16870604,17020144,17324224,17326664,17363468,17444551,17607487,17609708,17684457,17740442,17861118,17990817,18094567,18449498,18820327,18830024,18832177,18979778,19147662,19207148,19266830,19300927,19332578,19415121,19489752,19492497,19558230,19684802,19858351,20129945,20212058,20285902,20343561,20491087,20562842,20805727,20854077,20862112,21052925,21087938,21172270,21183777,21188189,21611738,21654188,21829832,21925971,22308122,22578344,22746127,22828898,22872908,22994285,23002202,23120196,23469876,23602604,24155934,24162733,24209804,24218525,24341287,24555458,24558561,24694988,24820424,25070618,25139481,25263510,25371665,25400637,25406724,25926338,26147468,26284353,26345551,26438042,26521054,26710951,26903110,26947744,27513577,27593142,27626978,27642237,27922977,28134362,28368607,28723927,28828513,28977122,28979860,29062230,29124537,29218351,29470385,29709247,30118028,30131385,30246100,30316212,30445998,30485018,30749287,30999712,31092367,31098185,31433804,31649762,31773127,31840807,31869838,31960401,32140144,32149868,32283732,32513647,32733041,32794265,32907425,32997032,33301442,33465818,33697388,33968551,34121882,34291148,34329988,34518190,34612418,34775832,34844577,34874676,34940551,34960861,35121068,35364462,35706487,35751962,35867902,35896351,36067628,36157662,36295320,36399962,36532977,36711607,36776204,36835951,37121661,37132593,37178385,37268887,37317822,37836908,37881247,37887220,37942087,37954604,38009882,38546527,38649818,38715008,38846047,38939037,38965351,39122811,39195965,39247148,39262351,39305110,39353118,39488910,39635144,39656944,40196989,40301804,40418828,40564617,40713698,40832235,40892287,41073065,41183590,41344413,41353868,41399800,41421828,41742247,41971682,42058145,42100550,42121504,42597218,42795607,42852633,43064858,43122847,43231351,43554384,43929607,44150978,44269181,44460002,44589537,44614062,44614298,44667967,44856721,45083551,45207694,45340951,45464664,45528340,45802221,46128957,46149338,46202647,46229228,46452127,46561438,46574775,46600951,46607042,46847551,46848950,47035158,47092351,47166132,47367002,47386692,47456353,47669978,47726828,47911207,47958727,47964417,48195247,48424898,48534785,48894007,48989804,48998682,49042840,49104428,49234822,49287678,49311700,49420308,49679760,49755847,49774682,49794945,49889551,50020268,50073261,50370842,50469774,50520660,50568353,50634967,50964698,51077377,51147747,51239860,51275407,51401551,51520865,51731948,52046504,52104127,52585922,52706767,52746367,52825351,52878818,52991744,53114608,53436428,53485087,53888704,53933572,54124600,54598567,54624098,54634008,54646521,54710045,54777847,54915425,55173195,55339447,55373165,55488962,55647247,55665224,55748551,55796609,55889730,56205722,56218740,56245351,56491418,56725951,56944687,57424270,57495053,57579727,58066985,58155007,58210951,58241742,58404487,58552317,58621351,58807327,58833700,58851408,58885951,58938007,59043057,59092447,59143351,59164534,59174040,59176802,59269544,59289548,59395857,59596058,59611025,59615712,59624588,59753934,59755351,59825767,59907561,59966656,60100951,60145807,60293804,60473047,60539001,60624792,60682207,60850604,60884167,60890175,60903967,60984218,61357567,61390189,61397858,61411351,61463259,61487832,61499551,61670551,61825038,61879865,61882087,62084378,62142632,62173657,62183767,62212351,62357978,62482351,62623377,62626988,62630527,62665951,62700727,62854447,62885551,63031351,63093847,63118976,63136327,63180428,63340951,63411367,63416767,63462127,63466807,63594967,63598351,63607927,63622604,63830697,64081030,64181373,64582420,64660322,64810361,64949520,65096385,65166188,65652054,65682375,65862362,65898510,66207834,66264908,66447798,66480945,66516340,66570795,66586702,66657242,66678237,66813245,67067676,67462488,67599185,67794790,68101058,68125388,68202891,68361698,68390201,68909124,69173811,69279488,69285032,69436144,69680382,69704061,69731961,69759308,69910461,69996104,70061200,70291744,70335460,70600440,70681538,70844588,70908665,70913008,71008848,71190722,71318525,71412065,71525885,71533230,71710508,71931454,72125864,72202178,72466508,72484265,72954722,73068210,73184734,73199800,73316157,73436204,73453538,73702082,74255838,74623393,74690498,74813402,75046604,75307136,75425762,75663944,75688748,75775385,75895299,75911374,75988925,76034522,76302112,76897236,77047960,77121218,77182604,77289068,77498904,77512673,77608268,77939424,77945661,78115662,78121613,78189769,78301977,78531545,78666621,78745617,78818850,78825329,78893385,78906458,79078212,79187624,79425495,79777134,79819608,79845338,79884954,80078618,80175894,80593064,81005978,81119022,81123224,81141597,81351362,81353748,81416204,81923835,82135790,82152218,82349775,82350065,82606682,82660061,82696904,82981025,82990604,83320468,83397032,83732762,83925478,84067778,84073440,84152944,84163713,84402552,84557804,84623258,84720528,84844442,85090398,85121937,85201565,85582230,85635537,85694478,85815185,85831062,85839876,85941722,86014028,86438638,86484962,86595117,86636204,86678955,86981118,87018333,87132098,87186267,87257228,87385424,87453722,87585704,87667418,87681852,87700270,87839760,87880538,87960057,88199138,88410818,88819510,88822433,89042402,89086077,89183661,89678336,89729804,89797059,90186842,90598682,90667197,90754604,90803738,90930462,91186710,91263627,91287712,91313858,91401622,91738257,91800814,91878188,92183948,92193185,92223002,92260600,92415561,92457552,92586230,92896268,93034017,93145481,93201068,93219482,93298497,93526769,93614042,93695744,93821661,93829832,94104002,94237854,94388765,94582620,94672062,94687202,94952871,95123860,95225708,95310594,95469185,95709065,96027842,96153117,96288297,96504477,96590024,96735788,96836204,96849700,97265824,97282318,97340258,97528375,97617818,97966664,98308602,98339945,98533917,98562948,98742665,98819730,98820078,98937548,98986178,99166178,99353917,99577230,99613658,99791642,...,95202878804692309741123565803870620307847602265159330848652182926972454124318487308254488993482263383335885250147127228825387937919686535274381072613130608368721081430207666305444990039620165260146953724563818240028245238895247114467929704809944805244489328456633291163114538264915000449996889178416686938173145228638291444331043270276982001063307038436788382810892756143792561565946860926914325410307391770927920085164365795112484365372283667281671392972951398391056579852457122520630907851494384964978381062786963299111439970637130140212598709526139916188126032952739702434141512663030899550646127582257935335162670651653431616295172604545373187724185674262470169155190840148737168065353858262413172275818418511674846798135603116508937563108210478747890879192406909436942705603678439280613311672384682123200012363140778268462141157163380786957755402416099091785938265937464258097086162541272238712366738912288057278511491759101804882655733262409556531269886603310329494671159433509738530248745499324688753839110267792734813948496318679842858004626811898399195607619392016379241937629392760966103467962629257629142847635342284834623371517276141498128976583357456165674741482758668048696726499834073730148314350793026225899987104395339105863525824728531648097149066043494163063803167200018184311159312948347478584618970592109803871488048904976635473596542338603312689690958237947156620729123572515605575803282643968751719913088475464338774901292777677284990198181524771470779499456393274245589664578664629540546635860909576514283493010013897372007658898926469711905232498536985350563251440229066550218322768856676276938089272105039281621851061614835140965763024876135675115090832183489288473637748877196273103795611895541259412664036815002043902126088898233222331399841999669100636608909822564164033243551622322879413351626615009604670563301020617039953071466220671860133337715306430663829998403639761276987061561412612406173149232963039263064605225395740516412774320361935180928494037935937050123633976638055662782145487963629960611958177781436658820958645265435436927257760289639774412578401910167286097927308276648857304483127967096613864108287007861463493603145889833728355094927653427812097347613065787374876083217151063054621396415616139138724937050038661381371420354163493862653495016744437978571992482697235393163774691999415326459814705217931232391321771564903809814660024701353341702398287921840594095831301704357816548144711519330662540696952363850779443293990323663545862927007123066134221398133439932541267581587695236930884}
15953 18162510044963735283610037880581330549691209374697140613228686384: {621543,876535,1051842,1480467,1561826,1766343,2052003,2231180,2308255,2563603,2677416,2769906,2907687,3012093,3187400,3260935,3327907,3477063,3518983,3585825,3662290,3736735,3824880,3913122,4027507,4079872,4302990,4394748,4484082,4589856,4600591,4687255,4845535,5076247,5163588,5320135,5624706,5636335,5814642,5955202,6028563,6221983,6384162,6561331,6763602,6906242,7057255,7171351,7719843,7842151,7863986,8239826,8414803,8468706,8471036,9263287,9373330,9572402,9866060,9962787,10251836,10360135,10521363,10605967,10656151,10763948,10946143,10987255,11247996,11489186,11771180,11839272,11926735,12101480,12180727,12395935,12432162,12695311,12747027,12821042,12921356,13184706,13301283,13308284,13319181,13614165,13674860,14072396,14125416,14187091,14269135,14312082,14407203,14479267,14521776,14645480,14875122,14892626,14983327,15158696,15160831,15296762,15509667,15670255,15712243,15891093,15924631,15992167,16334247,16336998,16409832,16476165,16476271,16602535,17046751,17053533,17122962,17156883,17574576,18215912,18254348,18459080,18461061,18524242,18731378,18804306,19031948,19068807,19101103,19354063,19756051,19771398,19803607,19923042,20184751,20301825,20427987,20492901,20559596,20613538,20766465,21088255,21240903,21275180,21640351,21655280,21658330,21697148,21704335,21717871,22012135,22150896,23130147,23537530,23579276,23814824,23987756,24008935,24162787,24204963,24362190,24919758,25180922,25305906,25387426,25530216,25886828,25897747,25962626,25986336,25989996,26045202,26077640,26228851,26414562,26610663,26791677,26922727,27067735,27124748,27287290,27674247,27805436,28122626,28145143,28222930,28245036,28469667,28591135,28617562,28721493,28810722,28872403,28900245,28998867,29234628,29337345,29503255,29527203,29962882,30262255,30318087,30395983,30428853,30538658,30587167,30826928,30844263,30868735,31025530,31293168,31380151,31631907,31758405,32207912,32417607,32481282,32574386,32684335,32744748,33435127,33462183,33519308,33684680,33867516,33875632,34131631,34243183,34243347,34309362,34334722,34461607,34503303,34680294,34680751,34699826,35032531,35045804,35204814,35403906,35459983,36224825,36233901,36314706,36511651,36675847,36790856,36833187,36856316,37042482,37230636,37328311,37605927,37647535,37765018,37807625,37895265,38110086,38749640,38832716,38889507,38940403,39104767,39221202,39292255,39333667,39657063,39781581,39988471,40175180,40187335,40354665,40421616,40594664,41108383,41119591,41246290,41389713,41440467,42121735,42201543,42328082,42613868,42863935,42912485,43044976,43465683,43469790,43471226,43593345,43706983,43901335,43992866,45084535,45177042,45359347,45369150,45474318,45540691,45561538,45668997,45727527,45970255,46160563,46345567,46367776,46459436,46475282,46499568,46715251,47150706,47152616,47296135,47359025,47443255,47474643,47630242,47804757,48210216,48224802,48393760,48408151,48425598,48707071,48710636,49058935,49080151,49495548,49510124,49543930,49571180,49757096,49952163,50028691,50198727,50377255,50436727,50483827,50523535,50546082,51182823,51436722,51494982,51692335,51749750,51762898,51777285,51806407,51860851,51918627,51918716,52163748,52312014,52396903,52470824,52651880,52681602,52709911,53046693,53238271,53627943,53801853,53810647,54086156,54101442,54236493,54374803,54442980,54599943,54801487,55125884,55164306,55229104,55378927,55976733,56755362,56830830,56910425,56931906,56956303,57014823,57136844,57738127,57786535,57950002,57974727,58072512,58180351,58870722,58903591,58957665,59029677,59110483,59233365,59452716,59485416,59599423,59658535,59978738,60009202,60452706,60619552,60624403,60628242,60756626,61069628,61070547,61237255,61246591,61303550,61380535,61505276,61537267,61639625,61725523,61775385,61979762,62030802,62048882,62066818,62099700,62132742,62525335,62587831,62713544,62721751,62888176,62957523,63110131,63150825,63182256,63188047,63879607,63895827,63952556,64049825,64127251,64597287,64664935,65058130,65331576,65538866,65550067,65563087,65716904,65893744,66072343,66162511,66177298,66205951,66226467,66239680,66282547,66393260,66690003,66761407,66764348,66795535,66921093,66921447,67293032,67360880,67416965,67655750,67811541,68196996,68292510,68501551,68551351,68658487,69069967,69141427,69224007,69289171,69343842,69578983,69581530,69842157,69856543,69910563,70273425,70386562,70518931,70552737,70623607,70749198,70982821,71050503,71080038,71286223,71504967,71590242,71645191,71787151,72000787,72073231,72359791,72637347,72709603,72716527,72845344,72855487,72862028,72972403,73484706,73498023,73537651,73542125,73564260,73582426,73633826,73656642,73852233,73931517,73967550,74086930,74111935,74130462,74502247,74519640,74530735,74662023,74792227,74958320,75030402,75367255,75556263,75704661,75780990,76063255,76447047,76462246,76502323,76519927,76637491,76757623,76859790,77597922,77655656,77678290,77917783,78069756,78283735,78307987,78468544,78641407,78724076,78878883,78898720,78975535,79194476,79318227,79487616,79528255,79671912,79876748,80040967,80154642,80718668,80728025,80833056,80900358,80928031,81186900,81243223,81433586,81457735,81567751,81936147,81938047,81951012,81983776,82101103,82433384,82831135,83145425,83233443,83450851,83497836,83834595,84170791,84308583,84328110,84461887,84516271,84737127,84766627,85107596,85156735,85423987,85575164,85720831,85794487,86136405,86235823,86278322,86599360,86606290,86795180,86923471,87073447,87145087,87199135,87362613,87495130,87536072,87576500,87864680,87880483,87919325,88046407,88250550,88277112,88555735,88597064,88639027,88641260,88671682,88723411,88746801,88761060,88765203,88904316,88934322,89247223,89394087,89423568,89436882,89525026,89630901,89638135,89848351,89890327,89949984,90157330,90406231,90440706,90514867,90583135,90937188,91116403,91224607,91275906,91476327,91499750,91651351,91795255,91878832,92096787,92231748,92706202,92737557,92740978,92907176,92918743,92938748,92975948,93126567,93143251,93213948,93513583,93536967,93808255,93936583,93940482,94027682,94133920,94197511,94548343,94579930,94610935,94678464,94769683,94770642,95159522,95192722,95377640,95433906,95714023,95961907,96121545,96219607,96275647,96309950,96478255,96611335,96873630,96894607,96990483,97010335,97134991,97288351,97313071,97424280,97576351,97655551,97749282,97754876,98478081,98793543,98847765,98984530,99007784,99311751,99397362,99514882,99663331,99671697,99774510,99880053,99985863,...,142804318207038464611685348705805930461771403397738996272978274390458681186477730962381733490223395075003827875220690843238081906879529802911571608919695912553081622145311499458167485059430247890220430586845727360042367858342870671701894557214917207866733992684949936744671807397372500674995333767625030407259717842957437166496564905415473001594960557655182574216339134215688842348920291390371488115461087656391880127746548692668726548058425500922507089459427097586584869778685683780946361777241577447467571594180444948667159955955695210318898064289209874282189049429109553651212268994546349325969191373386903002744005977480147424442758906818059781586278511393705253732786260223105752098030787393619758413727627767512270197203404674763406344662315718121836318788610364155414058405517658920919967508577023184800018544711167402693211735745071180436633103624148637678907398906196387145629243811908358068550108368432085917767237638652707323983599893614334796904829904965494242006739150264607795373118248987033130758665401689102220922744478019764287006940217847598793411429088024568862906444089141449155201943943886443714271453013427251935057275914212247193464875036184248512112224138002073045089749751110595222471526189539338849980656593008658795288737092797472145723599065241244595704750800027276466738969422521217876928455888164705807232073357464953210394813507904969034536437356920734931093685358773408363704923965953127579869632713196508162351939166515927485297272287157206169249184589911368384496867996944310819953791364364771425239515020846058011488348389704567857848747805478025844877160343599825327484153285014415407133908157558922432776592422252711448644537314203512672636248275233932710456623315794409655693417843311889118996055222503065853189133347349833497099762999503650954913364733846246049865327433484319120027439922514407005844951530925559929607199331007790200006572959645995744997605459641915480592342118918609259723849444558894596907838093610774619161480542902771392741056903905575185450964957083494173218231945444940917937266672154988231437967898153155390886640434459661618867602865250929146890962414973285956724691950644920796162430511792195240404718834750592532642391480141718146021419598681062314124825726594581932094623424208708087405575057992072057130531245240793980242525116656967857988724045853089745662037999122989689722057826896848586982657347355714721990037052030012553597431882760891143746952556536724822217067278995993811045428545776169164940985485495318794390510684599201332097200159898811901372381542855396326}
15954 18242077619533550306269917140295836381511798479471543085606159944: {270929,493613,652433,747629,828724,842753,923534,1064429,1159313,1402456,1577763,1973956,2072813,2166929,2255102,2342739,2355124,2386253,2480129,2573933,2636429,2736004,2788975,2854913,3041873,3346770,3508013,3569888,3570029,3693208,3876916,3984250,4016124,4154859,4250093,4434893,4588673,4636084,4709294,4781100,4803629,4864973,4895633,5099840,5217496,5415629,5493435,5507153,5646734,5737320,5811713,5859664,5869683,5978776,6020702,6119808,6454485,6592122,6726123,6871373,6884784,7082129,7142273,7499608,7532429,7745382,7752856,7771853,8038084,8338433,8437059,8437454,8512216,8665133,8721963,8783693,8807102,8872529,8932803,9018136,9109073,9576243,9728702,9815633,9903629,10145403,10293124,10342529,10359363,10430093,10546733,10588795,11070029,11291608,11561873,11795979,11925854,12332575,12359739,12452813,12471902,12703059,12706554,12814795,12881153,13023533,13222529,13263859,13279313,13283716,13454935,14028484,14059995,14070929,14127233,14358603,14548493,14713975,14799090,14823134,14912129,14997328,15126850,15182702,15377754,15385613,15720974,15785696,15829133,15938923,16145922,16151695,16160429,16380653,16576216,16635355,16655213,16871994,16996036,17093575,17233779,17310893,17505854,17528429,17579608,17590495,17656770,17718353,17735044,17758908,17880833,17934929,18016013,18124013,18152220,18204929,18215774,18306850,18648243,18833888,18948370,19010129,19063553,19082776,19209604,19231563,19330193,19362368,19382034,19410029,19777059,19833496,19861073,19962426,19980494,20512290,20679556,20837971,20857454,21043853,21108594,21188124,21468123,21590273,21778996,21782664,21879776,21905054,21968220,21978413,22081613,22236173,22312683,22338939,22364753,22544429,22738044,22769890,22817935,22830616,22875844,22945143,23055629,23073850,23132033,23310029,23432768,23789935,24505497,24614748,24644993,24819629,24845102,25040587,25072408,25192529,25425076,25489553,25612973,25684443,25699495,26055629,26300429,26349293,26361864,26373713,26564056,26593975,26973562,27069100,27121435,27237316,27323868,27381522,27688620,27752429,27786363,28097067,28181923,28206459,28321204,28538753,28547922,28869713,29246033,29429054,29474095,29534528,29641178,29657097,29768530,29884563,29984695,30266414,30293453,30753773,30839394,30840196,30920307,31028429,31096913,31598702,31868033,31912770,32048129,32191999,32272529,32273284,32358535,32482920,32487495,32545722,32597050,32718929,32921774,32985233,33226344,33272429,33382529,33667853,33741208,33905935,34040288,34104173,34256129,34648448,34653328,34726936,34756795,34889102,34902929,35214974,35219416,35306295,35330129,35368914,35393933,35480884,35520331,35648429,35722236,35922833,35981634,36189134,36488429,36543285,36583987,36592529,36737933,36862253,36898996,37171793,37356653,37379637,37459073,37640654,37660048,37664354,37771383,37958859,37959556,38028929,38081139,38295324,38391953,38414296,38533660,38572493,38601854,38665156,38684503,38830242,38871953,38943939,38979504,38984994,39067803,39116460,39228929,39369604,39465473,39621843,39716702,40259890,40424116,40457933,40571804,40687122,40726733,40930935,40982174,41125684,41258539,41297453,41354129,41611454,41708154,41724224,41767553,41823629,41879633,41899135,42105850,42158573,42175876,42183939,42334395,42344540,42367554,42376378,42417293,42747629,42802433,42926343,43202129,43216083,43223476,43256333,43292429,43308376,43537459,43659664,43740929,43807255,43851942,43883393,43954433,44307713,44535629,44616244,44744813,44944323,45108113,45142529,45156688,45262733,45348353,45492254,45570029,45657796,45745816,45807987,45911971,45988570,46004404,46070395,46126673,46160129,46240392,46538295,46575629,46625153,46855313,46939752,47100173,47148929,47205208,47359373,47391629,47552429,47823953,47919233,47982593,48030029,48219053,48266129,48311868,48325466,48419608,48437050,48531533,48540895,48682574,48721923,48810029,48856193,48861579,49009553,49110916,49117122,49192529,49389976,49449773,49640848,49764353,49912913,50090129,50141236,50218975,50278962,50382929,50527020,50528129,50743330,50801274,50813448,51199853,51242129,51284333,51424493,51464043,51502083,51591629,51660929,51852676,51963473,52020441,52049739,52248653,52294936,52318123,52476929,52516973,52568706,52691102,52807221,52876084,52913453,53042108,53105859,53267335,53421902,53430893,53494673,53806220,53895488,53923073,53985293,54472059,54475853,54572429,54874351,55027154,55071053,55186284,55253956,55280429,55284474,55361153,55395629,55563723,55845954,56092013,56268724,56450129,56482253,56517571,56588813,56647527,56715629,56737214,56924429,57165129,57201233,57382529,57447854,57501953,57502291,57600593,57630029,57657026,57805133,57954244,57959720,58074295,58091213,58124460,58175633,58222253,58231553,58249074,58370093,58436702,58452353,58497773,58641773,58831803,58853933,58881403,58940770,58949633,58984193,59078573,59112653,59155073,59418494,59644651,59648513,59672429,59762599,59907629,59930753,59984429,60187793,60236056,60262770,60268973,60298253,60341933,60378113,60492200,60513773,60548993,60632424,60674129,60742529,60856973,60888295,60891996,60896813,60970036,60995153,61040429,61211393,61394513,61424333,61498574,61512593,61599053,61633133,61672529,61869435,61887655,61900673,61932113,61963975,61999424,62084993,62184734,62196370,62202113,62230673,62254253,62310029,62391533,62496173,62571629,62644493,62660333,62703233,62867608,62950253,63017873,63039629,63048833,63099629,63183629,63215213,63299524,63312173,63318929,63336593,63392429,63411629,63426413,63472529,63483533,63492123,63520973,63544913,63546254,63550733,63564929,63568013,63598673,63617153,63620429,63621713,63626753,63630929,63681614,63739676,63920802,64280288,64299736,64567464,64898395,65027294,65204685,65206839,65466082,65588530,65814850,65941447,65989299,65994064,66602884,66931636,67394776,67607695,67765563,67937102,67948699,68053725,68211477,68243764,68342307,68582296,68659976,68907355,69036380,69224836,69551664,69689154,69712923,69749352,69881102,69921722,70242136,70726059,70728924,71412974,71421055,71445363,71503924,71735804,71792702,72129211,72135256,72315324,72337203,72590640,72638397,72799924,73065954,73423214,73552408,73671902,74243322,74265186,74315895,74356770,74537774,74635644,75673816,75762494,75774440,75819123,75884174,75909208,76019764,76337035,76436107,76594063,76881595,77093054,77155083,77242473,77299636,77430016,77522431,77624625,77644347,77692094,77878074,77930702,78245622,78391930,78468021,78494296,78524702,78610220,78706236,78977820,79022403,79270288,79313888,79940695,80393978,80603608,80824783,80837656,81129234,81152163,81293779,81427396,81664470,81784574,82146130,82367180,82670467,82688826,82707736,82746459,82799600,82843656,82991575,83455435,83484494,83943364,84116290,84201100,84243008,85133043,85194436,85246245,85397859,85591214,85705266,86129716,86245694,86462702,86631811,86925003,87108768,87312391,87859214,88301956,88306083,88538362,88920004,89179074,89228124,89228596,89335934,89713442,89968107,90013803,90167102,90415388,90679059,90681902,90929328,90942363,91056680,91077535,91134939,91604442,91955325,92257914,92298676,92405294,92458456,92904254,92969643,93046203,93073323,93100227,93122876,93149550,93157207,93199113,93201902,93214084,93538543,93695102,93697900,94070316,94184702,94332264,94638859,94734004,94773384,94912706,95339956,95453656,95822414,95917454,95928834,96390494,96849796,97069570,97587195,97689163,97788014,97979608,97997364,98085680,98208856,98308299,98405095,98469644,98575356,98623400,98840616,98993095,99265947,99272131,99359520,99511694,99549364,99589890,99779102,99845935,99976891,...,214206477310557696917528023058708895692657105096608494409467411585688021779716596443572600235335092612505741812831036264857122860319294704367357413379543868829622433217967249187251227589145371835330645880268591040063551787514306007552841835822375811800100989027424905117007711096058751012493000651437545610889576764436155749744847358123209502392440836482773861324508701323533263523380437085557232173191631484587820191619823039003089822087638251383760634189140646379877304668028525671419542665862366171201357391270667423000739933933542815478347096433814811423283574143664330476818403491819523988953787060080354504116008966220221136664138360227089672379417767090557880599179390334658628147046181090429637620591441651268405295805107012145109516993473577182754478182915546233121087608276488381379951262865534777200027817066751104039817603617606770654949655436222956518361098359294580718443865717862537102825162552648128876650856457979060985975399840421502195357244857448241363010108725396911693059677373480549696137998102533653331384116717029646430510410326771398190117143632036853294359666133712173732802915915829665571407179520140877902585913871318370790197312554276372768168336207003109567634624626665892833707289284309008274970984889512988192933105639196208218585398597861866893557126200040914700108454133781826815392683832247058710848110036197429815592220261857453551804656035381102396640528038160112545557385948929691369804449069794762243527908749773891227945908430735809253873776884867052576745301995416466229930687046547157137859272531269087017232522584556851786773121708217038767315740515399737991226229927521623110700862236338383649164888633379067172966805971305269008954372412850899065684934973691614483540126764967833678494082833754598779783700021024750245649644499255476432370047100769369074797991150226478680041159883771610508767427296388339894410798996511685300009859439468993617496408189462873220888513178377913889585774166838341895361757140416161928742220814354157089111585355858362778176447435625241259827347918167411376905900008232482347156951847229733086329960651689492428301404297876393720336443622459928935087037925967381194243645767688292860607078252125888798963587220212577219032129398021593471187238589891872898141935136313062131108362586988108085695796867861190970363787674985451786983086068779634618493056998684484534583086740345272880473986021033572082985055578045018830396147824141336715620428834805087233325600918493990716568142818664253747411478228242978191585766026898801998145800239848217852058572314283094489}
15955 18321991047750965627110920801274677422767119665929788625921197865: {1035905,1227149,1243086,1385301,1753070,2103684,2467445,2943905,2960934,3123652,3231557,3382653,3420005,3532686,3932981,4104006,4462360,4565309,4616510,4759781,4846145,5020155,5127206,5141837,5231429,5354832,5426333,5539812,5795105,5815374,5976375,5999201,6024186,6374800,6474149,6521870,6562157,6655814,6783749,6953981,6954126,7037966,7063941,7171650,7324580,7448189,7473470,7521173,7649760,7826244,7890869,8055014,8159744,8382989,8470101,8475233,8605980,8764757,8789496,8968164,9031053,9179712,9201182,9374510,9691070,9880157,9888183,10001729,10047605,10152494,10327176,10640270,10947521,11249412,11272670,11337413,11618073,11629284,11701349,11910404,12057126,12443966,12593633,12656181,12768324,12866405,13122662,13210653,13527204,13812484,14114510,14188877,14342702,14504189,14593053,15382157,15439686,15684302,15714221,15727972,16464449,16479652,16604645,16697429,16829606,16937412,16942072,17048897,17111861,17354309,17535605,17798117,17888781,18222389,18526574,18707853,18746660,19059831,19144804,19732120,19925574,19976789,20503672,20720270,21042726,21169373,21211934,21245045,21298637,21312302,21527896,21741089,21892286,21938357,21974510,22096349,22168805,22198635,22234701,22495992,22690275,22774053,22978372,23066631,23132789,23243549,23542360,23581461,23678544,23853470,24012005,24085409,24202960,24218883,24361454,24791870,24864324,25307991,25390622,25494054,25642084,25842712,25849445,26258781,26369412,26485155,26602566,26616568,26627261,26638362,27223745,27228330,27264149,27323661,27349720,27460275,28144792,28250832,28374182,28422555,28538270,28556021,28594805,28624164,28814406,28958534,29043552,29073051,29290960,29523557,29750244,29785252,29943639,29966654,29970741,30317392,30321662,30386069,30593524,30768435,30814037,30816989,30997733,31019334,31286181,31340510,31424486,31662891,31781345,31782186,31849262,31984334,32668494,32673996,32819664,32857581,32952330,32952542,33205070,33612509,33836375,33971981,34046645,34093502,34107066,34154835,34245924,34313766,34610775,34620197,35149152,35401505,36142661,36431824,36508696,36516293,36918160,36922122,37048484,37085633,37267653,37462756,37608612,37894829,38063896,38137614,38147117,38202206,38550245,38708126,39512102,39514241,39542796,39607214,39668261,39846084,40027589,40341605,40369502,40460343,40525229,40603650,40855974,40985802,41072283,41119192,41227076,41304557,41532930,41719877,42176510,42367157,42481806,42550360,42821883,43150133,43216229,43280702,43310560,43316660,43394296,43408670,43435742,44024270,44143581,44301792,44351105,44461767,44652795,44692997,45399621,45758069,46123745,46259091,46260294,47075060,47158552,47263301,47398053,47449445,47629648,47737349,47869155,47975512,48017870,48167075,48325574,48331445,48409926,48724380,48752693,48818583,48848981,48895575,49212005,49382661,49541813,49839516,49997537,50361844,50530145,50611812,50714755,50774852,51060432,51407105,51773656,51795494,51925252,51972672,51979992,52090404,52155280,52333653,52457702,52464989,52706549,52719845,52822461,52829124,52930675,53053371,53221326,53245037,53583354,53606501,53845454,53972451,54029345,54135470,54249496,54283701,54574580,55009157,55208933,55348494,55610872,55770305,56245252,56262269,56290286,56412749,56445860,56460981,56490072,56496531,56939334,57072245,57182270,57209633,57235124,57442986,57505505,57621444,57744806,57800490,57855149,57902781,57997734,58245363,58469256,58477491,58674690,58911077,58970429,59006510,59054406,59108129,59501597,59575053,59607041,59925764,60009509,60077479,60389835,60524510,60554621,60636174,60791966,60857706,61030683,61077316,61174334,61388645,61461869,61473261,61653856,61688526,61737470,62051060,62192789,62417181,62562231,62586336,62676545,62760302,62904209,63118349,63158775,63263814,63516810,63551331,63564567,63594401,63637397,63757697,64358357,64415824,64815845,64835214,64962564,65148772,65368670,65489496,65777913,66095105,66214589,66250901,66302635,66420557,66870254,66924366,67038616,67047389,67257775,67369360,67735032,67751264,68149661,68238381,68263262,68486366,68486694,68529413,68618724,68669444,68682509,68923214,68982855,69006606,69067445,69360588,69361502,69399652,69865421,70018061,70065062,70091608,70335905,70409628,70528157,70732949,70807812,70919966,72009941,72177869,72369269,72442805,72449650,72467802,72488199,72629412,72655575,72725861,73023302,73023861,73351694,73581712,73666374,73675683,73712632,73723037,73747649,73833413,73878893,74068661,74084964,74201909,74461272,74656622,75211854,75241469,75295070,75418443,75494081,75530036,75615250,75790530,76114995,76201911,76212545,76220172,76519589,76560557,76737989,77468261,77499280,77665432,77779014,77880806,78209534,78442404,78584510,78667334,78853059,79036653,79124405,79314126,79563162,79640333,79674595,79976942,80074037,80132853,80350360,80374670,80709330,80843232,80901149,81015233,81189328,82202909,82216766,82239182,82492580,82540731,82779426,82880934,82926711,83253605,83521949,83664545,83677037,83768931,84243470,84246161,84403086,84656164,85105821,85227736,85304705,85727870,85732157,85824970,85932749,86089952,86171781,86295475,86485539,86531045,86908133,86931366,86939580,86942452,87084581,87186690,87373611,87413966,87535469,87655053,87802670,87820589,87985732,88057601,88090229,88411155,89127741,89378129,89379905,89669755,90169070,90354084,90394155,90432641,90530909,90718694,90738300,90760517,90948636,90999905,91081382,91123076,91135901,91163957,91337994,91455054,91555649,91940510,92247861,92321126,92691134,92735552,92918872,92950564,92999136,93155093,93277101,93294555,93430502,93470849,93513749,94073237,94118573,94275221,94301412,94305232,94383751,94592270,94718050,94886510,94949286,95024705,95260484,95319381,95522421,95609514,95881203,96044789,96420432,96449604,96557813,96624545,96787520,96816302,96851196,97414142,97421272,97540941,97615013,98117870,98160302,98199123,98262775,98382795,98589077,98623733,98722275,98991096,99020248,99087860,99142360,99214853,99514192,99904326,...,285608636414076929223370697411611860923542806795477992545956548780917362372955461924763466980446790150007655750441381686476163813759059605823143217839391825106163244290622998916334970118860495780440861173691454720084735716685741343403789114429834415733467985369899873489343614794745001349990667535250060814519435685914874332993129810830946003189921115310365148432678268431377684697840582780742976230922175312783760255493097385337453096116851001845014178918854195173169739557371367561892723554483154894935143188360889897334319911911390420637796128578419748564378098858219107302424537989092698651938382746773806005488011954960294848885517813636119563172557022787410507465572520446211504196061574787239516827455255535024540394406809349526812689324631436243672637577220728310828116811035317841839935017154046369600037089422334805386423471490142360873266207248297275357814797812392774291258487623816716137100216736864171835534475277305414647967199787228669593809659809930988484013478300529215590746236497974066261517330803378204441845488956039528574013880435695197586822858176049137725812888178282898310403887887772887428542906026854503870114551828424494386929750072368497024224448276004146090179499502221190444943052379078677699961313186017317590577474185594944291447198130482489191409501600054552933477938845042435753856911776329411614464146714929906420789627015809938069072874713841469862187370717546816727409847931906255159739265426393016324703878333031854970594544574314412338498369179822736768993735993888621639907582728729542850479030041692116022976696779409135715697495610956051689754320687199650654968306570028830814267816315117844865553184844505422897289074628407025345272496550467865420913246631588819311386835686623778237992110445006131706378266694699666994199525999007301909826729467692492099730654866968638240054879845028814011689903061851119859214398662015580400013145919291991489995210919283830961184684237837218519447698889117789193815676187221549238322961085805542785482113807811150370901929914166988346436463890889881835874533344309976462875935796306310781773280868919323237735205730501858293781924829946571913449383901289841592324861023584390480809437669501185065284782960283436292042839197362124628249651453189163864189246848417416174811150115984144114261062490481587960485050233313935715977448091706179491324075998245979379444115653793697173965314694711429443980074104060025107194863765521782287493905113073449644434134557991987622090857091552338329881970970990637588781021369198402664194400319797623802744763085710792652}
15956 18402251821176577233801925750336444399379261194082379009225728695: {302803,541858,589003,684259,987226,1064563,1254283,1304866,1495258,1538323,1657448,1685506,1847068,1864629,2128858,2198563,2318626,2629605,2804912,3155526,3508459,3601483,3904565,3947912,4145626,4333858,4343083,4441401,4510204,4685478,4710248,4772506,4804243,4896259,4960258,5147866,5263603,5272858,5299029,5446843,5472008,5577950,5709826,5812459,6083746,6156009,6176923,6693540,6924765,7016026,7139776,7140058,7173259,7386416,7690809,7753832,7968500,8032248,8309718,8500186,8723061,8869786,9036279,9155725,9177346,9272168,9316843,9418588,9562200,9607258,9729946,9782805,9791266,9846259,9983721,10199680,10431189,10434992,10556949,10757475,10831258,10986870,11014306,11210205,11245363,11293468,11474640,11505643,11623426,11678803,11719328,11739366,11957552,12041404,12082521,12239616,12908970,13184244,13309459,13452246,13742746,13769568,13801773,14061765,14164258,14284546,14536605,14824313,14888005,14999216,15064858,15081523,15228741,15415459,15490764,15505712,15543706,15914203,15960405,16076168,16162603,16676866,16739683,16874118,16874908,16909005,17024432,17265605,17330266,17443926,17567386,17614204,17745058,17865606,17940713,18036272,18085689,18218146,18665949,18836909,19092859,19152486,19412683,19457404,19631266,19659965,19683993,19807258,20290806,20365243,20586248,20599565,20680459,20685058,20718726,20860186,21072859,21093466,21171765,21177590,21193513,21514053,22140058,22316443,22547563,22583216,22612373,23084323,23123746,23159529,23289497,23433325,23526453,23591958,23769259,23851708,23931005,24626693,24665150,24719478,24905626,24943804,24972523,25244409,25270459,25406118,25413108,25629590,25762306,26047066,26377459,26445058,26527718,26558626,26567432,26909870,27789861,27828259,28056968,28119990,28141858,28254466,28542859,28717206,28722965,28897459,29096986,29427950,29593421,29598180,29646268,29824258,29888361,29994656,30253700,30365404,30755508,30771226,31055803,31080405,31261003,31441948,31564089,31571392,31658266,31817901,31877846,31945109,31968453,32052605,32291844,32303390,32320858,32411563,32761306,32838429,32961765,33152432,33270710,33305909,33310426,33743988,33992072,34065763,34187150,34261243,34467558,34621786,34908163,35011708,35056858,35159216,35180990,35228923,35313540,35356723,35436706,35470088,35517816,35674963,35761666,35780205,35865043,35869858,35979293,36032026,36248026,36304440,36409858,36431548,36542181,36613700,36805723,37187805,37231565,37296486,37423843,37667776,37896740,37970009,38020258,38085933,38127106,38165552,38241081,38241905,38397859,38419208,38463126,38660386,38724736,38764068,38820058,39235003,39353443,39530563,39554118,39666992,39722146,39903849,39924852,39957543,39960988,40842495,40981363,41024580,41263733,41322859,41359112,41379523,41675942,41714908,41942203,41978573,42087706,42165259,42217188,42376248,42442459,42561273,42807405,42936246,43180546,43221609,43235621,43317403,43437801,43557992,43565328,43587043,43759552,43810108,43936440,43956826,44014723,44163226,44332459,44472346,44595259,44625366,44677878,44729506,44949981,45088858,45301949,45476088,45482493,45539780,45635870,45661232,45718049,45751688,45890286,46111258,46134259,46147700,46264066,46310605,46529001,46583323,46620058,46828445,46865536,47010765,47075443,47136729,47173003,47468309,47579870,47673279,47773893,47847859,47976501,48555259,48659513,48833683,49002741,49010994,49200883,49229496,49289986,49428495,49428813,49639258,49690204,49807605,50081174,50144816,50385058,50406163,50580259,50850152,50979106,51140253,51160599,51225946,51368886,51398990,51470649,51533845,51642259,51683803,52111258,52257859,52499563,52600858,52619443,52698586,52723728,52747426,53128112,53187950,53286523,53440459,53947124,54138200,54145825,54229723,54242870,54474632,54594403,54647736,54763044,54774043,55377240,55383183,55474603,55504858,55572726,55746763,56080483,56113459,56194134,56363846,56412918,56642408,57077506,57095844,57206421,57222259,57303309,57403483,57522859,57641083,57739426,57787243,58062189,58102459,58242859,58381459,58408963,58492066,58658789,58812883,58843825,58858108,58948190,59069056,59149843,59268153,59282356,59314194,59410821,59537060,59763643,59769126,59969390,60019459,60532828,60547363,60554253,60586906,60755083,60905475,60955603,60975259,61283961,61330157,61478703,61507546,61617859,61678788,61680392,61768843,61801603,61830509,61840614,61850203,61945459,61961083,62056858,62193826,62299395,62314459,62328283,62501443,62589643,62744083,62822203,62952305,63006883,63072403,63099403,63108259,63166697,63197404,63200923,63232459,63264765,63306259,63333763,63409363,63454003,63468565,63507859,63533563,63553003,63563803,63583459,63612763,63636163,63648259,63722709,63736066,63825540,64096258,64383998,64498553,64545058,64546568,64717070,64906565,64921053,64965840,64974990,65091444,65113005,65153613,65194100,65437858,65843548,65970466,66036405,66452688,66544858,66765058,66793493,67335706,67482416,67811870,67957253,68080576,68208346,68218225,68512258,69296896,69306656,69390441,69453872,69513590,69778204,69805858,70306565,70429948,70438832,70489133,70557325,70612590,70660258,70737828,70787866,70961768,71040662,71296858,71444472,71543905,71845666,71963268,72026805,72378268,72488361,72614889,72976858,73086570,73167974,73185058,73475866,73724506,73797992,74343586,74574269,74713306,74759274,74907205,74918146,75281308,75320096,75328708,75542766,75917718,75919112,76057858,76162278,76346645,76590648,76783906,76828592,77067320,77144986,77203708,77330312,77369006,77563825,77660484,77693241,77743906,77887878,77930801,77959008,77969988,78135606,78232920,78457858,78686553,78739208,78930946,79243686,79433404,79831989,80375031,80519780,80768181,80848232,80915866,81143608,81203205,81304013,81374244,81435965,81453466,81861870,81964348,82251368,82517078,82594906,82708258,83022741,83222908,83416308,83448448,83535106,83647258,83759266,83798270,84211700,84317146,84351752,84367878,84435429,84668790,84689080,84735108,84752756,84834586,85243613,85409001,85495258,85604866,85773405,85836805,85852686,86164479,86404258,86432166,86446952,86512666,86584858,86616752,86617209,86642717,86700735,86749565,86996601,87074918,87319328,87481858,87614510,87703884,87766786,87908866,88012035,88509765,88581609,88615426,89071258,89232488,89489626,89888646,90216226,90285058,90313376,90333581,90349369,90525466,90696706,90786765,90857753,90954261,90984508,91140058,91187949,91286559,91315592,91491632,91615974,91761501,91823942,91977140,92008808,92140790,92253346,92320258,92480784,92532789,92606205,93076590,93151258,93250306,93710626,93879504,94140453,94200346,94297858,94410416,94412545,94650773,94718746,94783258,94895721,95104858,95275215,95647906,95838466,95965186,96060058,96438106,96470297,96532258,96623736,96650932,96839216,96874100,97063066,97081790,97252821,97365148,97443846,97584437,97620058,97701461,97712386,97723158,98019106,98053005,98221832,98234244,98385058,98779952,98899546,99281696,99528706,99825826,99989477,...,428412954621115393835056046117417791385314210193216988818934823171376043559433192887145200470670185225011483625662072529714245720638589408734714826759087737659244866435934498374502455178290743670661291760537182080127103575028612015105683671644751623600201978054849810234015422192117502024986001302875091221779153528872311499489694716246419004784881672965547722649017402647066527046760874171114464346383262969175640383239646078006179644175276502767521268378281292759754609336057051342839085331724732342402714782541334846001479867867085630956694192867629622846567148287328660953636806983639047977907574120160709008232017932440442273328276720454179344758835534181115761198358780669317256294092362180859275241182883302536810591610214024290219033986947154365508956365831092466242175216552976762759902525731069554400055634133502208079635207235213541309899310872445913036722196718589161436887731435725074205650325105296257753301712915958121971950799680843004390714489714896482726020217450793823386119354746961099392275996205067306662768233434059292861020820653542796380234287264073706588719332267424347465605831831659331142814359040281755805171827742636741580394625108552745536336672414006219135269249253331785667414578568618016549941969779025976385866211278392416437170797195723733787114252400081829400216908267563653630785367664494117421696220072394859631184440523714907103609312070762204793281056076320225091114771897859382739608898139589524487055817499547782455891816861471618507747553769734105153490603990832932459861374093094314275718545062538174034465045169113703573546243416434077534631481030799475982452459855043246221401724472676767298329777266758134345933611942610538017908744825701798131369869947383228967080253529935667356988165667509197559567400042049500491299288998510952864740094201538738149595982300452957360082319767543221017534854592776679788821597993023370600019718878937987234992816378925746441777026356755827779171548333676683790723514280832323857484441628708314178223170711716725556352894871250482519654695836334822753811800016464964694313903694459466172659921303378984856602808595752787440672887244919857870174075851934762388487291535376585721214156504251777597927174440425154438064258796043186942374477179783745796283870272626124262216725173976216171391593735722381940727575349970903573966172137559269236986113997368969069166173480690545760947972042067144165970111156090037660792295648282673431240857669610174466651201836987981433136285637328507494822956456485956383171532053797603996291600479696435704117144628566188978}
15957 18482861437753296014535781767273686327315970544919626684367990097: {812787,1450267,1480839,1957299,2071810,2242887,2308835,2454298,2486172,2528259,2770602,3193287,3454423,3477939,3506140,4028519,4121467,4207368,4601747,4733289,4788007,4934890,5637755,5746759,5887810,5921868,6218439,6247304,6412939,6463114,6500787,6765306,6784603,6840010,7028217,7065372,7158759,7440387,7651267,7721799,7865962,7909287,8113147,8208012,8366925,8564739,8888659,8924720,9125619,9130618,9233020,9369223,9519562,9692290,9960625,10040310,10254412,10283674,10310663,10462858,10524039,10709664,10710087,10852666,11079624,11178403,11590210,11630748,11773235,11952750,11998402,12048372,12464577,12749600,12750279,12948298,13043740,13124314,13304679,13311628,13567498,13766019,13828867,13907962,13908252,14066647,14075932,14116835,14127882,14314187,14343300,14410887,14594919,14649160,14686899,14896378,14946940,15042346,15051755,15299520,15652488,15781738,15928643,16110028,16246887,16319488,16480305,16521459,16765978,16940202,16950466,17173847,17211960,17435139,17529514,17578992,17609049,17936328,18012967,18062106,18224683,18359424,18401443,18402364,18749020,18889643,19358939,19363455,19382140,19760314,19776366,20003458,20095210,20178369,20304988,20614119,20654352,21093635,21246387,21280540,21426819,21645803,21895042,22017755,22498824,22545340,22597287,22674826,23236146,23246503,23258568,23315559,23402698,23804359,23820808,23824163,24114252,24321755,24549847,24887932,25015299,25187266,25260307,25311177,25312362,25536648,25732810,25891283,25995399,26113867,26165889,26245324,26351079,26421306,26617587,26798409,27054408,27327219,27624968,28229020,28377754,28685404,28728729,29008378,29186106,29446899,29710887,29743063,29814635,30016019,30436209,30764314,30879372,31027587,31036327,31045223,31078089,31179755,31290279,31368604,31428442,31455944,31640199,31766385,32221267,32928898,32939143,32959304,33209290,33210087,33394858,33616807,33659212,33874824,33884144,34097794,34128083,34223722,34685619,34708618,35071210,35206643,35387937,35596234,35777562,35793763,36189223,36444778,36805187,36997725,37053148,37057835,37079217,37358439,37415706,37493320,37817125,37956755,38109177,38113243,38119662,38289608,38444385,38643459,39070599,39302435,39464240,39667587,39791577,39837939,39851148,39953578,39998603,40032727,40364805,41007344,41440540,42085452,42179985,42212787,42338746,42381699,42423868,42490090,42597274,42624604,43055792,43075809,43155619,43482178,43645479,43764635,43784572,43876714,43949020,44141925,44192698,44337610,44397270,44469402,44493883,44736387,44779547,44991984,45292903,45370919,45380550,45539435,45548106,45767125,45956744,46133262,46156839,46265578,46370747,46487098,47084720,47162922,47357088,47370925,47487399,47614439,47665303,47706940,47816769,47960723,48024010,48170818,48405920,48437766,48455085,48481287,48722908,49141959,49562107,49583740,49728648,49776347,49906065,49951235,49965639,50522839,50615982,50781244,50988108,51137003,51280725,51284168,51685424,51698890,51701337,51932679,52143635,52517562,52585287,52738824,52771485,52970310,53155059,53205132,53233136,53254522,53276724,53445643,53642499,53804787,53970343,54048039,54372039,54447490,54456660,54498323,54528298,54614787,54647322,54699440,54762635,54920550,55944729,56289584,56416867,56478247,56501664,56748364,56788747,56845110,56924725,57030387,57076540,57112042,57189610,57190659,57248328,57616819,57628812,57684625,57694689,57917068,57990579,58087104,58146102,58230087,58581920,59047114,59331177,59500488,59509159,59570504,59583219,59887278,59933308,59941482,60012803,60278587,60561047,60634784,60643324,60772138,61187048,61536870,61628074,61633978,61995466,62038668,62091547,62112755,62513913,62572362,62681020,62713019,62737643,62848972,63049543,63131559,63325782,63562690,63564372,63698524,63968668,64404369,64573243,64770819,65336988,65347992,65639328,65715162,65904660,65905084,65935239,65972707,66244839,66410140,66429223,66708519,66938049,67016817,67094259,67225018,67433905,67633287,67664023,67672750,67943962,68026183,68093290,68187004,68214132,68309670,68374267,68453805,68491848,68519027,68627532,68835429,68896807,69166887,69221550,69240394,69354083,69396099,69930087,70298304,70459819,70742203,70803010,71000657,71029447,71304347,71369805,71563943,71663483,71969947,72285322,72863648,73017392,73032586,73215299,73516491,73572635,73807783,73836320,73844244,73934979,74096968,74102945,74171266,74421325,74458887,74535306,74925512,75045323,75121761,75217224,75577587,75641083,75666035,75789658,76127792,76222123,76275228,76294234,76330523,76404412,76468659,76539683,76838919,77053329,77098485,77100490,77360947,77416252,77937707,78078427,78166887,78901287,78996755,79024204,79028482,79047879,79085592,79121139,79214428,79336522,79473287,79692168,79781925,79901143,80055178,80507707,80669383,80683210,80739004,80920686,81050458,81207300,81364305,81492625,81495623,81711948,81753059,81971604,82144566,82238384,82304435,82423843,82454152,82609114,82630523,83013059,83065860,83257287,83359089,83439754,83897867,84291201,84353020,84545769,84593459,84619377,84734314,84963612,85100720,85446119,85616259,85643766,85944103,86212807,86300266,86432458,86561404,86609139,86621120,86633320,86788592,86817340,86871484,87167243,87222755,87311419,87738099,87747163,88037435,88048540,88287162,88422285,88603584,88702210,88923534,88971291,89305590,89385994,89584787,89653689,89871203,89954085,90472835,90537959,90742183,90799242,90880359,91516138,92247490,92261319,92518182,92520588,92533147,92760921,92823689,93085287,93127079,93290739,94101635,94130539,94134323,94150120,94160885,94317104,94526602,94572299,94793879,94796106,94898890,95090843,95259296,95266919,95474698,95604099,95738310,95951024,96035740,96144387,96244643,96320603,96334150,96504635,96575997,96651148,96662890,96694423,96817587,96819852,97019863,97075605,97448760,97462485,97505386,97637166,97697962,97791150,98152423,98156787,98424010,98470267,98765322,98955699,99083626,99173063,99291755,99679032,99688583,99817287,99821243,99893203,99995074,...,642619431931673090752584069176126687077971315289825483228402234757064065339149789330717800706005277837517225438493108794571368580957884113102072240138631606488867299653901747561753682767436115505991937640805773120190655362542918022658525507467127435400302967082274715351023133288176253037479001954312636832668730293308467249234542074369628507177322509448321583973526103970599790570141311256671696519574894453763460574859469117009269466262914754151281902567421939139631914004085577014258627997587098513604072173812002269002219801800628446435041289301444434269850722430992991430455210475458571966861361180241063512348026898660663409992415080681269017138253301271673641797538171003975884441138543271288912861774324953805215887415321036435328550980420731548263434548746638699363262824829465144139853788596604331600083451200253312119452810852820311964848966308668869555083295077883742155331597153587611308475487657944386629952569373937182957926199521264506586071734572344724089030326176190735079179032120441649088413994307600959994152350151088939291531230980314194570351430896110559883078998401136521198408747747488996714221538560422633707757741613955112370591937662829118304505008621009328702903873879997678501121867852927024824912954668538964578799316917588624655756195793585600680671378600122744100325362401345480446178051496741176132544330108592289446776660785572360655413968106143307189921584114480337636672157846789074109413347209384286730583726249321673683837725292207427761621330654601157730235905986249398689792061139641471413577817593807261051697567753670555360319365124651116301947221546199213973678689782564869332102586709015150947494665900137201518900417913915807026863117238552697197054804921074843450620380294903501035482248501263796339351100063074250736948933497766429297110141302308107224393973450679436040123479651314831526302281889165019683232396989535055900029578318406980852489224568388619662665539535133741668757322500515025686085271421248485786226662443062471267334756067575088334529342306875723779482043754502234130717700024697447041470855541689199258989881955068477284904212893629181161009330867379786805261113777902143582730937303064878581821234756377666396890761660637731657096388194064780413561715769675618694425805408939186393325087760964324257087390603583572911091363024956355360949258206338903855479170996053453603749260221035818641421958063100716248955166734135056491188443472424010146861286504415261699976802755481972149704428455992761242234434684728934574757298080696405994437400719544653556175716942849283467}
15958 18563821401833443496926496017451690176579883163593797719905103220: {605606,1083716,1127977,1178006,1368518,1974452,2129126,2355541,2508566,2609732,2637097,2990516,3011497,3076646,3104917,3107715,3314896,3371012,3570937,3681447,3694136,3729258,4155903,4257716,4382675,4397126,4637252,4866217,4958197,5259210,5466391,5609824,6056341,6311052,6692137,7016918,7144117,7202966,7402335,7594297,7809130,7895824,8291252,8578357,8667716,8686166,8831715,8882802,9020408,9200041,9370956,9420496,9545012,9608486,9694671,9792518,9920516,10082041,10147959,10260015,10295732,10527206,10545716,10598058,10893686,10944016,11155900,11419652,11541275,11624918,11798943,12083317,12167492,12255541,12312018,12353846,12427477,12513337,12818015,12941557,13282837,13387080,13695927,13849530,14032052,14130997,14279343,14279552,14280116,14346518,14538435,14772832,15060465,15222841,15381618,15425511,15507664,15694287,15805717,15937000,16064496,16219897,16278999,16304675,16619436,16639535,17000372,17385315,17446122,17533177,17594915,17739572,17929125,17939797,17997603,18072558,18311450,18354692,18506041,18544336,18633686,18683675,18837176,18908341,19068757,19124400,19214516,19308841,19422447,19459892,19565610,19582532,19686471,19692518,19945897,19967442,20137535,20351247,20399360,20499541,20843207,20861943,20862378,20869984,20892841,21113898,21191823,21514950,21662516,21829417,21973740,22028612,22344567,22420410,22490726,22563519,22586936,22601977,22949280,23002955,23011286,23246852,23357606,23436275,23438656,23443477,23478732,23672607,23915104,24082808,24165042,24171847,24227675,24351541,24479232,25046879,25148967,25381235,25410303,25425699,25817940,26294271,26356777,26368488,26430037,26600675,26618918,26722357,26795257,26904492,27093159,27303541,27485492,27523951,27539136,27603546,28123530,28181675,28238137,28328516,28569092,28839391,28878037,29073210,29090041,29441941,29640471,29648626,29664549,29776010,29998432,30005187,30129716,30142815,30163046,30348457,30457482,30693877,30830918,30981528,31011424,31037497,31087412,31109915,31515541,31828406,31854841,31920810,32152336,32325206,32326837,32745383,32806655,32842563,33194041,33353732,33479366,33503407,33748236,33749816,33818010,34012239,34048864,34531210,34633897,34660532,34854219,34887852,34956277,34974043,35104047,35134772,35228408,35286275,35490116,35731212,35786041,35856755,35881426,36072544,36101941,36171378,36227797,36436292,37224277,37331898,37673818,37780899,37959541,37968543,38185718,38304972,38443957,38599215,38825366,38864041,38914808,39210755,39262532,39280597,39319930,39367986,39614516,39631959,40212151,40219477,40509097,40581612,40730486,41172496,41199130,41360918,41370116,41437452,41720372,41762041,42074015,42145718,42186932,42209017,42343530,42355180,42387026,42566631,42596341,43028106,43252117,43306297,43512567,43779159,44110357,44280116,44285879,44322037,44632886,44873647,45095126,45157237,45166432,45224746,45516841,45872917,46146471,46168646,46175317,46247492,46316435,46319058,46578994,46624057,46866650,47052906,47142663,47164597,47183916,47407417,47538518,47703416,47744341,47862010,47982841,48219541,48547897,48826537,49056757,49253386,49330300,49393347,49438956,49691797,49811252,49813935,49826041,49887608,49945046,50092287,50400277,50488818,50540918,50587427,50812236,50826216,50919541,51096643,51146691,51259180,51335583,51524612,51800675,51885817,52062927,52094132,52124191,52495477,52606815,52754918,52774441,52890116,53029835,53055436,53117252,53134864,53280755,53394351,53475577,53538667,53552041,53666343,53819740,54004777,54116341,54374137,54667167,54730715,54843541,54914677,54936275,55370041,55579722,55656518,55817663,56113936,56123559,56239980,56283716,56508932,56758057,57008041,57085718,57179493,57374377,57434412,57445930,57523957,57671737,57794918,58193972,58272757,58328341,58520617,58855900,58946857,59186842,59196360,59203897,59254441,59292536,59329717,59633675,59648516,59776722,59861941,59930367,59989312,60137557,60507400,60730808,60740341,60903635,60941941,61450297,61511016,61538677,61542452,61710037,61979675,62031157,62076841,62111606,62121877,62160810,62498041,62522006,62536597,62599417,62624041,62883896,62907541,62928277,62938537,62978857,63074617,63128178,63142784,63244537,63267541,63316532,63391957,63461941,63476555,63508119,63512341,63600937,63635802,63645397,63654037,63660841,63663541,63735135,63755692,63890218,63895911,63936906,64105210,64583688,64606780,64641716,64823126,64834847,65223267,65522612,65559823,65676858,65815071,65923530,66289047,66304864,66506415,66541420,66595905,66611818,66620852,66704103,67487976,67984144,68070825,68131526,68322159,68374300,68416007,68522486,68935116,69199893,69243572,69398367,69730647,69816326,70023416,70113716,70318432,70361980,70457846,70627080,70713446,70744383,70873412,70935455,70940176,71035632,71345675,71349926,71523332,71560410,71730086,71739716,71958586,72036015,72064052,72147383,72256227,72396335,72496052,72608880,72656649,72819716,72863096,73084362,73227400,73611446,74375610,74463130,74592972,74651551,74847686,74916635,75335552,75793480,75804155,75923973,75940018,76040516,76171866,76254212,76331104,76482162,76483810,76795718,76838416,76926252,77320772,77449472,77528136,77548335,77640116,78151091,78351275,78470006,78561215,78706886,78776343,79061126,79108236,79333984,79444292,79455465,79623155,79807698,79849704,79881783,79915086,79921976,79960835,81671235,81684990,81792447,81962726,81970983,82049160,82380825,82381355,82527466,82645718,82718224,82759046,83012675,83305339,83351884,83429816,83884406,83957146,84175412,84330518,84434376,84752496,84884918,85122546,85233755,85267665,85614810,85668063,85784415,85872492,86231123,86361092,86443218,86471242,86634806,86875602,87115984,87130656,87174086,87219153,87519104,87620216,87872880,87913652,88029446,88133227,88326452,88570671,88664918,88855991,88944692,89190518,89250732,89355756,89459012,89830917,89899962,89912223,90177716,90360743,90603898,90869191,90952176,90964986,91079560,91158207,91271740,91322464,91436098,91503376,91780572,92222516,92268518,92295400,92305305,92442111,92450967,92527919,92528132,92621210,92993199,93058002,93166646,93240116,93656890,93731072,93858543,94021530,94150886,94273458,94346006,94936618,94988673,95159740,95344035,95346558,95505515,95547786,95695718,95953002,96770315,97110518,97319026,97667366,98005482,98021988,98401766,98429191,98458992,98572743,98579972,98780255,98856990,98857626,99018035,99278516,99380408,99615210,...,856825909242230787670112092234835582770628420386433977637869646342752087118866385774290400941340370450022967251324145059428491441277178817469429653518175475318489732871868996749004910356581487341322583521074364160254207150057224030211367343289503247200403956109699620468030844384235004049972002605750182443558307057744622998979389432492838009569763345931095445298034805294133054093521748342228928692766525938351280766479292156012359288350553005535042536756562585519509218672114102685678170663449464684805429565082669692002959735734171261913388385735259245693134296574657321907273613967278095955815148240321418016464035864880884546656553440908358689517671068362231522396717561338634512588184724361718550482365766605073621183220428048580438067973894308731017912731662184932484350433105953525519805051462139108800111268267004416159270414470427082619798621744891826073444393437178322873775462871450148411300650210592515506603425831916243943901599361686008781428979429792965452040434901587646772238709493922198784551992410134613325536466868118585722041641307085592760468574528147413177438664534848694931211663663318662285628718080563511610343655485273483160789250217105491072673344828012438270538498506663571334829157137236033099883939558051952771732422556784832874341594391447467574228504800163658800433816535127307261570735328988234843392440144789719262368881047429814207218624141524409586562112152640450182229543795718765479217796279179048974111634999095564911783633722943237015495107539468210306981207981665864919722748186188628551437090125076348068930090338227407147092486832868155069262962061598951964904919710086492442803448945353534596659554533516268691867223885221076035817489651403596262739739894766457934160507059871334713976331335018395119134800084099000982598577997021905729480188403077476299191964600905914720164639535086442035069709185553359577643195986046741200039437757875974469985632757851492883554052713511655558343096667353367581447028561664647714968883257416628356446341423433451112705789742500965039309391672669645507623600032929929388627807388918932345319842606757969713205617191505574881345774489839715740348151703869524776974583070753171442428313008503555195854348880850308876128517592086373884748954359567491592567740545252248524433450347952432342783187471444763881455150699941807147932344275118538473972227994737938138332346961381091521895944084134288331940222312180075321584591296565346862481715339220348933302403673975962866272571274657014989645912912971912766343064107595207992583200959392871408234289257132377956}
15959 18645133224205961718543408326995803290709060512598419679264394234: {15959,908409,1354645,1625574,1767009,1928377,2052777,2468065,2900534,2961678,3193689,3232369,3262165,3738145,3762849,3914598,4143620,4213765,4485774,4614969,4617670,4760977,4908596,4972344,5056518,5078161,5143129,5322145,5541204,5593887,5796565,6224329,6386574,6595689,6908846,6955878,7012280,7174057,7845109,7888815,7892857,8057038,8220817,8242934,8414736,8417977,9203494,9466578,9576014,9869780,10311961,10364065,10525377,10609969,10660177,10804449,10834645,11082997,11275510,11493518,11704297,11713695,11775620,11843736,11931265,12185329,12399937,12400645,12436878,12494608,12825878,12869665,12926228,13001574,13029249,13182145,13324203,13372741,13530612,13569206,13680020,13944875,14056434,14130744,14274565,14315989,14317518,14412729,14688777,14880774,15209365,15302534,15443598,15525961,15731924,15790809,15818574,15897087,15998209,16226294,16340529,16416024,16468597,16482529,16733850,17129478,17176009,17437377,17540065,17777318,17802601,17849440,17850145,18251238,18261236,18466040,18468027,18530769,18738446,18892021,19039124,19384580,19763569,19811089,19921250,20080620,20192377,20508824,20567348,20621326,20774295,20925716,21048078,21072457,21250465,21419328,21420174,21519777,21545089,21705332,22159248,22174465,22356806,22377049,22792297,22943365,23072427,23138617,23180420,23261496,23546470,23905500,23996804,24018145,24091477,24096744,24171961,24324865,24402949,24478165,24929154,25499200,25500558,25896596,26087480,26169183,26238817,26248628,26609358,26623256,26689237,27078145,27108837,27134996,27271057,27467175,27532038,27535765,27657734,27815924,27816504,27950529,28133294,28151864,28155829,28233670,28255764,28628374,28686600,28821774,29058565,29189838,29298320,29348415,29373798,29531089,29538777,29792756,29893880,29951163,30084692,30103510,30598789,30599040,30824857,31293567,31304976,31392097,31563476,31670847,31857286,32220056,32272425,32493774,32638976,32653681,32960610,33042918,33531956,33630615,33736089,33880404,33900932,34050457,34347694,34356865,34423920,34474561,34516929,34870278,35036409,35059028,35157984,35218098,35410645,35473477,35711365,35872656,36025934,36124212,36247563,36449366,36525577,36689809,36718848,36802886,36804728,37342489,37498040,37662145,37779286,38362921,38717878,38726910,38764280,38859265,39348601,39504769,39520628,39552732,39928377,40006916,40190420,40333189,40356738,40535497,40609976,41123977,41135209,41228238,41308704,41405319,41692165,41740489,42185295,42187270,42492774,42561080,42853638,43291606,43325665,43609815,43651657,43790084,43918465,44035510,44362645,44472939,44664015,44704321,44997648,45090680,45194574,45244569,45349652,45545365,45686223,46178089,46246377,46394161,46472292,46493006,46517136,46631118,46805396,47608718,47641616,47648326,47742609,47749537,47881215,48228504,48426697,48487809,48496597,48643510,49078165,49098769,49099694,49518145,49775864,50030598,50047729,50219049,50374532,50503009,50520614,50622354,50624724,50727015,51073296,51465620,51672469,51712645,51782566,51796815,51826129,51832309,51880969,51990798,52150465,52227734,52331778,52490648,52702158,52733665,52819657,52842612,52943975,53139457,53235174,53596818,53603161,53620177,53822139,54102049,54108816,54257067,54654438,55023409,55249936,55350145,55997847,56427097,56458040,56510727,56755508,57153121,57278577,57370808,57457458,57809365,58016756,58202449,58238049,58372212,58893798,58979895,59051979,59132977,59421774,59486126,59549017,59629270,60032038,60872418,61095729,61270489,61528628,61662875,61758744,61798695,62041377,62055174,62072654,62090446,62156178,62264065,62359510,62580558,62737208,62856884,62900497,62911888,63218577,63280398,63515295,63532770,63580539,63653521,63755209,64073975,64151617,64405765,64407109,64442534,64542159,64907161,65117665,65498197,65857796,65878286,65918608,66097429,66112645,66187609,66319295,66396565,66418580,66420174,66576961,66789716,66949329,67064377,67233614,67274675,67318424,67642689,67749648,67768288,67837119,67911217,68195588,68256166,68447444,69252969,69371238,69417236,69478587,69605377,69868491,69931729,70100809,70142420,70299975,70354645,70413286,70579359,70636165,70650421,70775874,71192468,71307777,71313409,71555124,71587526,71793015,71814469,71905537,72028249,72196297,72378446,72737209,72742465,72889556,73001089,73569875,73610374,73880079,73995450,74106296,74115670,74158434,74530609,74560645,74608789,74716878,74812597,74831412,74917569,74986640,75634250,75733227,75811377,75913510,76218354,76226486,76239324,76531369,76538977,76579216,76580089,76667689,76786777,76888770,76928065,77286918,77455849,77947669,78141198,78604870,78928480,79132377,79145665,79335174,79583154,79675878,79694615,79702296,79733497,79907156,79997206,80065454,80094481,80729610,80758475,80802145,80958769,81274069,81594697,81903265,82014688,82223737,82666501,82824577,82881080,83161909,83176775,83276065,83369583,83484777,84170904,84359970,84425574,84575569,84677492,84763398,84791977,84847736,84980180,85194548,85249208,85467875,85628577,85827061,86111584,86151618,86168895,86268577,86311238,86442961,86554465,86692377,86956549,86957857,86964356,87106849,87178321,87290958,87391201,87529270,87569144,87642145,87753428,87898040,87913849,87952475,88079989,88283850,88385396,88412137,88591765,88672681,88675220,88780263,88794540,88938804,88987766,89404165,89472774,89559094,89665083,89674645,89882629,89983968,90080065,90440569,90455989,90585806,90620065,90741838,90761100,90783601,91024645,91078870,91096212,91259269,91534250,91913488,92266524,92313678,92351761,92531156,92667817,92678569,92741494,92974196,93167409,93178777,93241215,93783009,94169440,94233289,94300657,94325844,94407467,94692267,94714176,94741850,94974798,95050645,95103049,95228878,95317765,95330606,95413880,95453703,95633538,95750377,95835327,95905359,95921446,95998369,96048020,96069217,96157815,96313009,96341636,96582937,96650965,96811840,96875532,96910170,96931729,96962574,97050145,97234689,97325317,97445816,97613497,98283918,98515287,98723029,98885295,99124214,99167480,99185977,99305365,99457296,99552694,99812130,99902470,99917727,99931278,...,1285238863863346181505168138352253374155942630579650966456804469514128130678299578661435601412010555675034450876986217589142737161915768226204144480277263212977734599307803495123507365534872231011983875281611546240381310725085836045317051014934254870800605934164549430702046266576352506074958003908625273665337460586616934498469084148739257014354645018896643167947052207941199581140282622513343393039149788907526921149718938234018538932525829508302563805134843878279263828008171154028517255995174197027208144347624004538004439603601256892870082578602888868539701444861985982860910420950917143933722722360482127024696053797321326819984830161362538034276506602543347283595076342007951768882277086542577825723548649907610431774830642072870657101960841463096526869097493277398726525649658930288279707577193208663200166902400506624238905621705640623929697932617337739110166590155767484310663194307175222616950975315888773259905138747874365915852399042529013172143469144689448178060652352381470158358064240883298176827988615201919988304700302177878583062461960628389140702861792221119766157996802273042396817495494977993428443077120845267415515483227910224741183875325658236609010017242018657405807747759995357002243735705854049649825909337077929157598633835177249311512391587171201361342757200245488200650724802690960892356102993482352265088660217184578893553321571144721310827936212286614379843168228960675273344315693578148218826694418768573461167452498643347367675450584414855523242661309202315460471811972498797379584122279282942827155635187614522103395135507341110720638730249302232603894443092398427947357379565129738664205173418030301894989331800274403037800835827831614053726234477105394394109609842149686901240760589807002070964497002527592678702200126148501473897866995532858594220282604616214448787946901358872080246959302629663052604563778330039366464793979070111800059156636813961704978449136777239325331079070267483337514645001030051372170542842496971572453324886124942534669512135150176669058684613751447558964087509004468261435400049394894082941711083378398517979763910136954569808425787258362322018661734759573610522227555804287165461874606129757163642469512755332793781523321275463314192776388129560827123431539351237388851610817878372786650175521928648514174781207167145822182726049912710721898516412677807710958341992106907207498520442071637282843916126201432497910333468270112982376886944848020293722573008830523399953605510963944299408856911985522484468869369457869149514596161392811988874801439089307112351433885698566934}
15960 18726798422123737706051607734457557819238888925858593564593700200: {366551,589151,652679,747911,843071,938159,1128119,1159751,1211212,1254599,1317791,1601759,2167432,2167751,2255954,2356012,2387159,2438361,2481071,2574911,2731151,2737036,3043031,3136439,3323039,3509351,3571391,3602399,3664391,3948904,4258252,4344191,4350801,4405799,4442517,4590431,4711082,4866839,4897511,4958831,5017132,5173199,5179525,5219464,5274194,5509271,5600759,5871897,5905199,5981032,6022994,6135745,6153292,6209834,6215430,6239159,6360359,6511679,6629792,6723191,6728661,6742024,6926505,6964439,7141874,7175111,7235231,7362894,7388272,7458516,7535351,7584777,7715039,7864559,8043719,8311806,8430911,8515432,8757479,8765350,8794252,8875991,9023951,9201239,9230759,9274504,9579861,9672599,9732434,9819479,9907511,9916394,9995471,10112639,10288151,10363269,10433817,10434191,10518420,10550879,10696559,10932782,10958279,11074391,11161391,11219648,11306231,11566439,11739551,11941151,12085557,12112682,12285839,12337225,12364401,12429119,12457751,12543599,12622104,12686519,12886271,12971759,13227791,13312991,13369751,13384274,13653071,13805241,13963799,14033836,14199867,14217311,14288234,14364021,14405932,14638391,14719525,14804670,14834279,15085559,15141311,15188594,15252719,15391799,15618260,15791648,15835511,15918479,16157785,16222079,16249631,16469759,16579631,16582504,16744199,16913265,17100025,17156714,17208911,17240277,17335432,17372332,17453999,17617031,17663430,17725559,17765604,17888111,17945221,18023351,18040816,18104399,18212351,18400082,18655317,18741912,18750191,18840992,18937679,19090024,19098071,19151471,19216972,19238817,19338119,19389342,19417991,19502361,19585036,19664905,19841032,19948631,20164082,20295918,20353809,20370839,20502359,20520030,20591464,20686151,20738591,21054412,21084651,21091432,21196116,21313319,21443399,21476277,21677039,21787372,21832439,21888032,21987551,22311800,22321161,22322639,22374071,22451159,22605119,22826545,22839304,22953801,23082550,23141711,23165397,23218079,23249836,23295349,23446751,23597886,23700071,23727861,23798905,23826431,24166634,24230725,24334984,24339441,24354959,24511082,24624036,24632881,24707692,24854954,24904871,25026674,25100775,25277591,25327151,25500359,25623839,25636030,25694217,25709185,25883114,26157145,26384951,26433791,26458199,26565674,26580119,26665977,26774160,27089999,27131665,27307439,27331559,27376857,27391854,27699060,27836231,27884111,28064104,28107669,28192549,28242191,28261994,28265999,28384919,28551071,28558686,28559104,28560232,28693036,28882199,28905791,28952951,28975525,29076870,29446199,29469599,29545664,29600857,29726471,29819639,29881875,29996005,30028799,30120930,30306671,30445682,30698351,30721319,30763236,30851022,30858959,30931989,31015328,31042031,31064879,31110551,31201799,31388574,31542839,31572117,31611434,31791791,31874000,31882079,31949711,32128992,32130261,32204137,32353991,32370745,32439794,32465831,32557998,32609350,32800151,32810785,32955551,33066311,33238872,33279070,33353351,33535209,33682871,33918745,34000744,34075919,34119431,34184639,34509599,34660631,34769905,34770630,34892244,34961519,35066354,35089991,35189830,35239511,35319705,35409911,35479144,35533729,35728031,35858250,35879594,35918039,35995206,36002279,36128399,36145116,36233279,36597781,36609191,36622900,36709384,36733919,36816911,36858359,37012082,37088672,37188791,37240945,37267372,37367350,37373759,37393731,37435271,37476239,37605865,37674352,37816682,37843511,38046431,38137514,38147591,38248800,38250837,38409671,38429032,38449871,38617682,38699089,38844894,38889959,38919784,39068879,39131220,39165064,39247151,39286679,39365639,39372942,39385036,39454345,39483839,39542831,39891794,39914037,39934884,40051079,40225751,40275070,40534679,40702494,40798720,40860671,40994231,40999082,41032319,41298057,41373671,41486601,41505719,41686414,41723886,41724756,41739968,41785682,41787359,41843471,41899511,41914945,41955479,41992751,42199941,42215711,42227796,42326759,42350505,42376165,42383646,42437519,42621479,42768071,42822911,42942561,43005191,43029900,43150439,43222871,43232661,43277111,43325032,43331279,43553881,43658834,43784757,43823785,43851191,43947480,43957919,44028911,44057224,44060697,44135159,44329199,44346791,44609711,44644631,44689134,44766599,44818751,44840820,44981452,45009359,45112919,45127038,45155265,45173872,45203954,45284879,45336311,45438959,45524279,45643391,45898560,45929317,46005910,46022572,46182911,46233071,46493704,46598711,46631759,46648271,46715212,46730711,46872550,46877312,46886954,46944119,46957464,47123639,47172431,47188679,47221151,47345214,47752319,47785929,47830208,47847959,47895671,47990879,48006719,48054191,48165616,48243359,48290471,48330084,48343694,48415751,48455350,48571631,48703082,48740661,48834791,48850199,48880991,48927119,48958464,49034471,49080359,49217591,49400785,49440915,49520231,49564377,49610399,49700279,49715231,49834559,49849439,49923719,50008645,50012591,50093758,50199457,50238025,50297934,50335991,50423519,50597711,50669951,50762470,50820606,50851398,50928359,51155879,51268871,51311111,51521231,51521541,51635880,51660311,51688031,51729551,51908639,51990839,52031831,52195079,52305417,52337857,52518119,52544831,52584839,52588542,52713554,52736976,52744151,52827147,52860074,52941671,53059319,53201350,53237836,53444714,53459591,53485151,53497919,53561639,53574359,53590514,53808984,54038901,54051791,54126119,54186318,54212471,54396191,54541871,54602231,54607082,54638351,54674049,54722351,54737605,54817871,54865439,54895057,54924719,54936551,54970984,55047902,55078272,55101359,55204329,55207092,55252991,55380239,55391759,55426271,55460711,55789919,55834799,55890719,56101391,56123399,56156351,56247060,56352551,56363350,56476274,56481911,56514071,56538889,56546159,56657032,56668929,56673791,56687065,56747711,56987831,57138184,57182999,57445391,57534959,57544871,57564671,57663191,57678782,57682799,57756074,57867479,57973079,58076817,58090365,58124951,58146420,58180082,58200119,58237511,58284071,58293359,58431719,58450031,58486559,58506745,58559231,58649351,58703039,58835999,58853591,58883882,58888679,58903621,58932359,59019119,59044991,59139239,59173271,59190239,59215631,59224079,59274599,59280942,59297252,59329098,59449151,59552020,59571671,59667157,59708351,59785141,59803439,59873999,59905151,59967071,59996864,60010374,60043751,60104519,60149759,60224519,60259432,60261599,60285630,60305831,60326092,60415151,60535107,60551039,60572231,60586319,60696914,60732311,60759719,60854639,60894839,60914831,60914964,60954599,60980951,61052759,61097951,61249919,61268591,61336439,61387754,61397279,61433399,61551719,61574999,61626911,61661836,61672511,61689479,61828079,61842357,61876751,61963056,61987799,62022848,62049671,62074994,62090279,62125391,62174824,62194439,62219830,62237999,62295071,62341751,62350991,62364791,62419271,62446079,62537639,62550431,62613311,62617439,62637959,62642039,62702279,62714111,62756879,62772191,62942519,62956199,62968165,63031082,63035591,63082871,63092111,63101279,63116399,63143111,63151871,63194591,63213911,63259199,63261791,63280905,63284759,63363431,63381191,63408959,63449039,63466031,63476999,63484151,63487679,63514751,63522791,63529079,63541271,63566831,63570839,63583679,63586151,63594551,63596879,63611231,63614351,63616391,63623279,63643919,63645431,63656812,63667631,63668951,63670199,63674159,63675071,63679439,63679559,63709682,63739161,63841620,64280457,64304672,64332025,64650412,64653674,64843009,64937409,65490766,65613310,65685126,65966329,66053265,66388082,66707464,66958732,67006814,67496472,67499632,67636020,67791861,68024478,68097728,69062420,69267794,69321064,69708438,69739509,69775704,69912554,69946677,69948086,70208094,70269544,70456816,70572550,70944385,70980232,71188777,71413077,71462424,71472489,71572082,71713510,71762852,72145088,72203882,72342756,72455594,72520945,72872584,72965265,73649541,74241769,74448554,74593057,74663796,75045897,75347636,75561798,75780921,75919082,75933531,75937086,76371436,76464949,76609944,76623001,76887914,76910785,77198430,77650732,77673849,77728082,77829616,77986197,78341601,78421510,78497667,78525064,78561194,78571105,78639860,78735972,79053237,79229032,79263918,79852761,80395227,80424302,80438954,80855281,81018194,81163224,81460972,81981657,82322245,82344992,82398260,82721836,82740232,82874904,83023225,83440744,83487145,83524082,84148030,84291436,84373864,84418034,84687060,84710360,84774052,85133262,85192682,85244485,85265089,85559305,86056212,86186187,86504234,86612594,86771545,87025134,87345337,87558318,87678025,88220714,88340697,88560232,88571758,88644074,88867177,88990585,89132661,89229189,89265772,89443905,89747294,90048057,90190252,90314474,90332864,90449492,91033682,91111945,91308627,91745834,92178097,92292942,92337292,92350634,92494984,92632870,92638116,93082761,93108981,93135669,93157988,93234267,93248114,93539265,93733300,93870837,94105812,94285326,94329194,94367832,94814834,94920597,95077036,95299155,95406832,95488682,95724020,95965682,96375961,96439082,96663801,97095794,97653074,98113514,98506772,98660600,98786694,98817429,98877912,99309637,99383594,99622504,99627870,99630261,99652082,99775216,99883945,99890092,...,1927858295795019272257752207528380061233913945869476449685206704271192196017449367992153402118015833512551676315479326383714105742873652339306216720415894819466601898961705242685261048302308346517975812922417319360571966087628754067975576522401382306200908901246824146053069399864528759112437005862937910498006190879925401747703626223108885521531967528344964751920578311911799371710423933770015089558724683361290381724578407351027808398788744262453845707702265817418895742012256731042775883992761295540812216521436006807006659405401885339305123867904333302809552167292978974291365631426375715900584083540723190537044080695981990229977245242043807051414759903815020925392614513011927653323415629813866738585322974861415647662245963109305985652941262194644790303646239916098089788474488395432419561365789812994800250353600759936358358432558460935894546898926006608665249885233651226465994791460762833925426462973833159889857708121811548873778598563793519758215203717034172267090978528572205237537096361324947265241982922802879982457050453266817874593692940942583711054292688331679649236995203409563595226243242466990142664615681267901123273224841865337111775812988487354913515025863027986108711621639993035503365603558781074474738864005616893736397950752765873967268587380756802042014135800368232300976087204036441338534154490223528397632990325776868340329982356717081966241904318429921569764752343441012910016473540367222328240041628152860191751178747965021051513175876622283284863991963803473190707717958748196069376183418924414240733452781421783155092703261011666080958095373953348905841664638597641921036069347694607996307760127045452842483997700411604556701253741747421080589351715658091591164414763224530351861140884710503106446745503791389018053300189222752210846800493299287891330423906924321673181920352038308120370438953944494578906845667495059049697190968605167700088734955220942557467673705165858987996618605401225006271967501545077058255814263745457358679987329187413802004268202725265003588026920627171338446131263506702392153100074092341124412566625067597776969645865205431854712638680887543483027992602139360415783341333706430748192811909194635745463704269132999190672284981913194971289164582194341240685147309026856083277416226817559179975263282892972771262171810750718733274089074869066082847774619016711566437512988160360811247780663107455924265874189302148746865500202405169473565330417272030440583859513245785099930408266445916449113285367978283726703304054186803724271894242089217983312202158633960668527150828547850401}
15961 18808818519331043041905498821217738930715916097443574181851354904: {31918,1514015,1816818,1896503,2278991,2709290,2945015,3251148,3383931,3421295,3455291,3534018,3856754,4105554,4567031,4936130,5233403,5322815,5428379,5748203,5801068,5899271,5923356,6001463,6271415,6387378,6464738,6476591,6524330,6956603,7066623,7451003,7476290,7524011,7525698,7691615,7829196,7911291,8115191,8287240,8386151,8427530,8478431,8768063,8971548,9034491,9229938,9235340,9314751,9323145,9521954,9715511,9817192,9944688,10005503,10113036,10156322,10286258,10644290,10661519,10712811,10992815,11044341,11082408,11187774,11341691,11593130,11623631,12186863,12386879,12448658,12467709,12598391,12749231,12773148,13148025,13191378,13531751,13817692,13832351,13911756,14024560,14294999,14348114,14509691,14598651,14654471,14874591,15168503,15690218,15777630,15785714,16000223,16114076,16399173,16441634,16485868,16703771,16829472,16835954,17360903,17542295,18007415,18017531,18083903,18169023,18348863,18406079,18406988,18455003,18933156,19152028,19522825,19739560,19813583,19984391,20076411,20194919,20623922,20728130,21050754,21177371,21219938,21293111,21320354,21432351,21608898,21669290,21715415,21749303,22104731,22165994,22207005,22275431,22551020,22782891,22987036,23408594,23427390,23551240,23687472,23862530,24021215,24370658,24481295,24556091,24799874,24801290,24873756,24989216,24990203,25009643,25266671,25651756,25735071,25739330,25852456,26003148,26058498,26085911,26318015,26364290,26495145,26648406,26745482,26936351,27061224,27138412,27234215,27360040,27600123,27610103,27889750,27991151,28112868,28261488,28306091,28549130,28566863,28631978,28635036,28815803,28825458,29062295,29084013,29377554,29750651,29761548,30246123,30418730,30443877,30605068,30780045,30884615,30887196,31009511,31044251,31051922,31463848,31581618,31637148,31794174,31996418,32120711,32229431,32452588,32681058,32832048,32937194,32965058,33467700,33573503,33625403,34054811,34148903,34258956,34269431,34352018,34623825,34874754,34905659,35080130,35396829,35554636,35605202,35698880,35700290,35866295,36249951,36502476,36522472,36530219,36766623,36932080,36936054,37061538,37099751,37282431,37476892,37540011,37784042,37909403,38078248,38454045,38550071,38578331,38769160,38824671,39527138,39622178,39663359,39842500,39848511,40161240,40234283,40384754,40681991,40742663,41017648,41087781,41134696,41242652,41548590,41735723,41851432,42096156,42135503,42144914,42392991,42500930,42838029,42838656,42840348,43039554,43090178,43166591,43410664,43615305,44318496,44348930,44713612,44754098,45181395,45304379,45584594,45668523,45778625,45886730,46144854,46276533,46277234,46360840,46522992,46584215,46739099,47082861,47092940,47417151,47811000,47993608,48036290,48099611,48182954,48193488,48343922,48649730,48659691,48771371,48805898,48836997,48914025,48956330,49231295,49574903,49858308,49918605,49995911,50016503,50998400,51001116,51793192,52155945,52174960,52338366,52477634,52484891,52497256,52599531,52727003,52784745,52826411,53218716,53246512,53378474,53787375,53819391,53992809,54156290,54202079,54217674,54269992,54402971,54542114,54828251,54829463,54934350,55064076,55071530,55315468,55406951,55518123,55631848,55633008,55901058,56051025,56226815,56266588,56303728,56311658,56431271,56434271,56467340,56511528,56725023,56868779,57206271,57231551,57256748,57373200,57528215,57643548,57751583,57926523,58117130,58267341,58369031,58379676,58394015,58596640,58696830,58747596,59059413,59062178,59077554,59130551,59585512,59787760,59837691,59892239,59902326,60169384,60207020,60412605,60655931,61053741,61197578,61198080,61485851,61498623,61649714,62107703,62216411,62423231,62529621,62585829,62587134,62609952,62619503,62678523,62784194,62908571,62928071,63065579,63126952,63341694,63575469,63714572,63763511,64440112,64544850,64987548,65277952,65307362,65488251,65921220,66085836,66547295,66795191,67033701,67063912,67261230,67472178,67690557,67760808,67801864,67805931,68043419,68100914,68693231,68695388,68709431,68713730,68847840,68949122,69008865,69033858,69325403,69740556,69918959,70072818,70118056,70308825,70315968,70330431,70376111,70436196,70821290,70946954,71017821,71422730,71745312,72037403,72051868,72109703,72248424,72397703,72495126,72515541,72683025,72898732,73010651,73051154,73054623,73379618,73437696,73605772,73609456,73751003,73775903,73827131,74096783,74121565,74230103,74336951,74440025,74684978,74902619,74996080,75140637,75270011,75324290,75345071,75407615,75446901,75558572,76143705,76230909,76277097,76323131,76708463,76725842,76767191,77077295,77435756,77453820,77490203,77528560,77718530,77883311,78347963,78681863,78697202,78882813,79009538,79041256,79070331,79105464,79290111,79571015,79670651,79802025,79856754,80013832,80024303,80081471,80167071,80258711,80380840,80385771,80666378,80689979,80713476,80813015,80933111,81070994,81219952,81279477,81910623,81979511,82247954,82270418,82456476,82571853,82617408,82810638,83384330,83480978,83614079,83698415,84370590,84374540,84545025,84714411,84810539,84979271,84985548,85122160,85707276,86234651,86328025,86518173,86583212,86634111,86651330,87117983,87169691,87219630,87270123,87303314,87580168,87836930,88071020,88091183,88123751,88325823,88367639,88725290,88751531,88921413,88928171,88945878,88993647,89328030,89408642,89412503,89703565,89995296,90015561,90168071,90181360,90389148,90428445,90489138,90699304,90795143,91045371,91090730,91164731,91170503,91372446,91590503,92081631,92356178,92492754,92557703,92788322,92847013,92944584,92945663,92955191,92986012,93034272,93112491,93190619,93262236,93329745,93506351,93610792,94154471,94184545,94232603,94546623,95054591,95217436,95283232,95296652,95464295,95485218,95499074,95564523,95762430,96081431,96457008,96853394,96975618,96980511,96993194,97044539,97063415,97287020,97572431,97652411,97883591,98156330,98197538,98199388,98236149,98299825,98419965,98496503,98527689,98626523,98890631,99036290,99252551,99551728,99582123,99776231,...,2570477727726692363010336276704506748311885261159301932913608939028256261356599157322871202824021111350068901753972435178285474323831536452408288960554526425955469198615606990247014731069744462023967750563223092480762621450171672090634102029868509741601211868329098861404092533152705012149916007817250547330674921173233868996938168297478514028709290037793286335894104415882399162280565245026686786078299577815053842299437876468037077865051659016605127610269687756558527656016342308057034511990348394054416288695248009076008879207202513785740165157205777737079402889723971965721820841901834287867445444720964254049392107594642653639969660322725076068553013205086694567190152684015903537764554173085155651447097299815220863549661284145741314203921682926193053738194986554797453051299317860576559415154386417326400333804801013248477811243411281247859395865234675478220333180311534968621326388614350445233901950631777546519810277495748731831704798085058026344286938289378896356121304704762940316716128481766596353655977230403839976609400604355757166124923921256778281405723584442239532315993604546084793634990989955986856886154241690534831030966455820449482367750651316473218020034484037314811615495519990714004487471411708099299651818674155858315197267670354498623024783174342402722685514400490976401301449605381921784712205986964704530177320434369157787106643142289442621655872424573228759686336457921350546688631387156296437653388837537146922334904997286694735350901168829711046485322618404630920943623944997594759168244558565885654311270375229044206790271014682221441277460498604465207788886184796855894714759130259477328410346836060603789978663600548806075601671655663228107452468954210788788219219684299373802481521179614004141928994005055185357404400252297002947795733991065717188440565209232428897575893802717744160493918605259326105209127556660078732929587958140223600118313273627923409956898273554478650662158140534966675029290002060102744341085684993943144906649772249885069339024270300353338117369227502895117928175018008936522870800098789788165883422166756797035959527820273909139616851574516724644037323469519147221044455111608574330923749212259514327284939025510665587563046642550926628385552776259121654246863078702474777703221635756745573300351043857297028349562414334291644365452099825421443797032825355615421916683984213814414997040884143274565687832252402864995820666936540225964753773889696040587445146017661046799907211021927888598817713823971044968937738738915738299029192322785623977749602878178614224702867771397133868}
15962 18891195046091088999528219861147260999273412535268942956411039049: {47877,684517,733102,969961,1159897,1178302,1305358,1495822,1633477,1686142,1876318,2199397,2256238,2319502,2422424,2509198,2635582,2725227,3203518,3509797,3602857,4063935,4334864,4335502,4437157,4511908,4712024,4774318,4876722,4898137,4962142,5149822,5301027,5462302,5474072,5785131,5905957,6086062,6158331,6272878,6542761,6646078,7018702,7142782,7204798,7251335,7328782,7404195,7897808,8074597,8516504,8590043,8688382,8701602,8788261,8811598,8885034,9180862,9231961,9408937,9422164,9581067,9673861,9697107,9733678,9786495,9795022,9850117,9917662,10034264,10289497,10346398,10359050,10438928,10548388,10552261,11018542,11201518,11214435,11288547,11544175,11683417,11743794,11810398,11962064,12045988,12271490,12306584,12419668,12430860,12459397,12478318,12641295,12720718,13023358,13259584,13446382,13457322,13484048,13844907,13853010,13928878,14282931,14283748,14350222,14470462,14725788,14776544,14917032,15070702,15169554,15234483,15421657,15429387,15430078,15504997,15729118,15966435,16087438,16251817,16623612,16781661,16861822,17030864,17272115,17389695,17514958,17530700,17588504,17751982,18047902,18133861,18376537,18402478,18461518,18549008,18672987,18779557,19159722,19345198,19464868,19638958,19787067,19815022,19832788,19990942,20142595,20225278,20373637,20576302,20607335,20726538,20767657,20867634,20868382,21036840,21101758,21159877,21393118,21472357,21522171,21865564,21916558,22093861,22148782,22248517,22322782,22439296,22612462,22620899,23008735,23132878,23246761,23479102,23535327,23666445,23678571,23855017,23882302,23940035,24171114,24225364,24571678,24662451,24674450,24728802,24758761,24858238,24915502,25087198,25244208,25253931,25355497,25373038,25772542,25943518,26455582,26461957,26625982,26739502,26768548,27118057,27306142,27335461,27530867,27610482,27912037,27927598,28067672,28188775,28270057,28399734,28434622,28576468,28728042,28733795,28811864,28909957,28980697,29276782,29439050,29473861,29609340,29668558,30171118,30282622,30311077,30377188,30505438,30725797,30783598,30863461,30935883,31069417,31092195,31206361,31236520,31343017,31576131,31583296,31671022,31829907,31836958,31957163,31980531,32064695,32224261,32315570,32413347,32444158,32499262,32503935,32753611,32939518,33159262,33165008,33248991,33318467,33488398,33826530,33884761,33923015,34200050,34211461,34313428,34417822,34480554,34670864,34744664,34907998,34982831,35112891,35141085,35234062,35326860,35451118,35500261,35531208,35776222,35793795,35890442,35944537,35992859,36046702,36081632,36208798,36424702,36555987,36620003,36760261,36800164,36884677,37199811,37201935,37310634,37483824,37500382,37681984,37875358,37984331,38180048,38196142,38256335,38302942,38415577,38433944,38477634,38608995,38676238,38778684,38835982,39004722,39087747,39170072,39329810,39546435,39682064,39897262,39959977,39972609,40076761,40118223,40328164,40483237,40565735,40591836,40656361,40707618,40741678,41004718,41040060,41182928,41372302,41399077,41477182,41834625,41994407,42108824,42169302,42182864,42185317,42351961,42392232,42462697,42626638,42823695,42886798,42947967,42952554,43238187,43251923,43354078,43574744,43664878,43715461,43776064,43876057,43975102,43982761,44066331,44248261,44353957,44443295,44623600,44642322,44645278,44748142,44902318,45137497,45210238,45319043,45446377,45628095,45653090,45678608,45735287,45907602,45935099,46165100,46283422,46330794,46436158,46499672,46577883,46590698,46655977,46846115,46893502,46951897,47195772,47196517,47372427,47400142,47455722,47486243,47597810,47652862,47691261,47871877,47994627,48014761,48333268,48461450,48626437,48669968,48677867,48678882,48709918,48858457,49021587,49022164,49248072,49265762,49405791,49415384,49447587,49543717,49633861,49709908,49723717,49803125,49809742,49857961,49947097,50053348,50201550,50555182,50654302,51000718,51247678,51272060,51388434,51418370,51528027,51553315,51710917,51766228,52137323,52312131,52314290,52607461,52620195,52648211,52687237,52769902,52867582,52916398,53081797,53131348,53160238,53331954,53407803,53507497,53548320,53550435,53583961,53660137,53773861,54179998,54222277,54263330,54614878,54624217,54663118,54753714,54783708,54946597,55158277,55236083,55398120,55401961,55404081,55592307,55672462,55768222,55892015,56012377,56128208,56144857,56215338,56385098,56484382,56523988,56531998,56631397,56676063,56769838,57102142,57117372,57118208,57120464,57193861,57285337,57386072,57555877,57764398,57811582,57849637,57905902,57951050,58153740,58220761,58304677,58443097,58680923,58866175,58892398,58939198,59030761,59091328,59159461,59201714,59235817,59290707,59326631,59433267,59452942,59460997,59583577,59639278,59763750,59992010,60057598,60078757,60124261,60241860,60281257,60347461,60577131,60613342,60626857,60873961,60891364,61013317,61071961,61353299,61355461,61396702,61442638,61526472,61588057,61702044,61708261,61717918,61841317,61853831,61863978,62001157,62030656,62084062,62129758,62212837,62221102,62256361,62322885,62369257,62403598,62464261,62631337,62655961,62716261,62777148,62808997,62864617,63020677,63085678,63144234,63151717,63190523,63217371,63222868,63260761,63276457,63529897,63583582,63599017,63616837,63638761,63644377,63684697,63695461,63748000,63751395,63764158,63899422,64257984,64260522,64408274,64559331,64635267,64707982,64741490,64879588,64931662,65115996,65218700,65600302,65621570,65911102,66132622,66477744,66523395,66558140,66706702,66818687,67070418,67131147,67365742,67837490,68001488,68151838,68238862,68369278,68376891,68830095,69019198,69144335,69161099,69217281,69321262,69415851,69539810,69541260,69784488,69923038,70012103,70132708,70179982,70333235,70379660,70479022,70515731,70584175,70639410,70819822,70958288,71067458,71456062,71570935,71716500,71759188,71836078,71990412,72004558,72054435,72256798,72274431,72290232,72466558,72515883,72974595,73195562,73208847,73218382,73245800,73418768,73434495,73467838,73633822,73716718,74024164,74177344,74377582,74481890,74534744,74734700,74747518,74787462,74870542,74952478,75211730,75258775,75348704,75633364,75687022,76092862,76275028,76295182,76497600,76501674,76632647,76819342,76858064,76899742,77235364,77398178,77689788,77779918,77839568,77960207,78137758,78262440,78330128,78494302,78507549,78573358,78716451,78731278,78745884,78770072,78908690,78967678,79085662,79361891,79643215,79783588,79828074,79869768,80067711,80102158,80451502,80550140,81069358,81234435,81326511,81404988,81597440,81721342,81813171,81909443,81988462,81998164,82064638,82401525,82596114,82607295,82747342,82973202,83011438,83372828,83447772,83449512,83479936,83571364,83574718,83686942,83799022,83829890,83851587,83910958,83985502,84132191,84399882,84431422,84455592,84467487,84653518,84701010,84752330,84767292,84875038,85242958,85536142,85645822,85869235,85885122,86010382,86059800,86300878,86445742,86465322,86554222,86650064,86662558,87107762,87175695,87317668,87569514,87647570,87702382,87894960,87915838,88045245,88057822,88114448,88121394,88155431,88270318,88593267,88616331,88658398,88693582,89219422,89289262,89378268,89533198,89637502,89681640,89853489,89962904,90018718,90064835,90225838,90254076,90310530,90347744,90367667,90407908,90569758,90672622,90877918,91048558,91123415,91286782,91796367,91797120,91858634,92007215,92011820,92045144,92365822,92466142,92474571,92987408,93197422,93263518,93296542,93430424,93461422,93745100,93754624,93773908,93880701,93888238,93914928,94176291,94247278,94344862,94377358,94442302,94448215,94690428,95012541,95504638,95571858,95660416,95695918,95791342,95981758,96013438,96108382,96331232,96486718,96580942,96660168,96687388,96794695,96817275,96831502,96910700,97143262,97406164,97481322,97621259,97669582,97700398,97761982,97854238,97916928,97961043,98068942,98160718,98435182,98801570,98881830,99040462,99128754,99220798,99322139,99400558,99430462,99669118,99698878,99847438,...,3855716591590038544515504415056760122467827891738952899370413408542384392034898735984306804236031667025103352630958652767428211485747304678612433440831789638933203797923410485370522096604616693035951625844834638721143932175257508135951153044802764612401817802493648292106138799729057518224874011725875820996012381759850803495407252446217771043063935056689929503841156623823598743420847867540030179117449366722580763449156814702055616797577488524907691415404531634837791484024513462085551767985522591081624433042872013614013318810803770678610247735808666605619104334585957948582731262852751431801168167081446381074088161391963980459954490484087614102829519807630041850785229026023855306646831259627733477170645949722831295324491926218611971305882524389289580607292479832196179576948976790864839122731579625989600500707201519872716716865116921871789093797852013217330499770467302452931989582921525667850852925947666319779715416243623097747557197127587039516430407434068344534181957057144410475074192722649894530483965845605759964914100906533635749187385881885167422108585376663359298473990406819127190452486484933980285329231362535802246546449683730674223551625976974709827030051726055972217423243279986071006731207117562148949477728011233787472795901505531747934537174761513604084028271600736464601952174408072882677068308980447056795265980651553736680659964713434163932483808636859843139529504686882025820032947080734444656480083256305720383502357495930042103026351753244566569727983927606946381415435917496392138752366837848828481466905562843566310185406522023332161916190747906697811683329277195283842072138695389215992615520254090905684967995400823209113402507483494842161178703431316183182328829526449060703722281769421006212893491007582778036106600378445504421693600986598575782660847813848643346363840704076616240740877907888989157813691334990118099394381937210335400177469910441885114935347410331717975993237210802450012543935003090154116511628527490914717359974658374827604008536405450530007176053841254342676892262527013404784306200148184682248825133250135195553939291730410863709425277361775086966055985204278720831566682667412861496385623818389271490927408538265998381344569963826389942578329164388682481370294618053712166554832453635118359950526565785945542524343621501437466548178149738132165695549238033423132875025976320721622495561326214911848531748378604297493731000404810338947130660834544060881167719026491570199860816532891832898226570735956567453406608108373607448543788484178435966624404317267921337054301657095700802}
15963 18973929539213697729903577102317628853984626487460332767571296047: {63836,1099653,1767453,1958037,2119621,2243733,2529213,2693353,2814477,3028030,3384357,3479253,3633636,3763797,3793006,3953373,4123021,4557982,4789813,4805277,5079437,5418580,5639885,5890030,6225893,6415357,6502296,6503253,6767862,6842590,6910582,7068036,7161477,7315083,7443213,7451941,7654153,7713508,7724733,8193453,8211108,8779981,8892013,9129093,9134062,9372757,9409317,9872260,9969117,10466806,10528053,10645630,10714173,10768261,10807197,10856758,10993173,11182621,11496406,11602136,11777705,11798542,11846712,12002926,12403061,12542830,12599977,12774756,12929476,12953182,12991117,13032573,13048660,13052403,13185485,13217397,13327551,13771293,13913206,14133246,14600517,14692533,14876493,14902006,14952580,15048022,15051396,15057485,15067273,15280861,15383230,15389941,15519597,15524585,15538575,15658392,15822582,15934661,16230382,16527813,16574480,16772302,16802277,16855060,16956862,17536126,17615691,17715597,17854685,17943096,18068982,18407235,18459876,18470680,18629502,18646290,18717477,19043908,19081077,19366253,19431022,19535037,19634384,19889376,20011006,20169573,20185983,20211421,20226072,20312644,20572516,20779515,20893317,21180037,21288580,21323038,21425622,21525333,21550517,21653981,21705693,21752041,21913375,21985630,22088682,22164816,22375548,22606053,22683382,22754331,23145117,23186260,23247262,23593677,24131157,24331085,24373726,24409097,24559213,24773758,24790985,24897316,24935418,25196782,25210381,25292733,25498462,25546296,25901117,26123773,26272437,26296050,26382756,26627973,26695961,27063502,27071853,27331955,27603717,27635384,27664702,27692277,27823512,28049120,28589998,28696228,28739583,29017797,29019382,29197302,29308942,29356573,29458437,29722533,29749182,29986413,30281705,30337006,30337917,30401581,30864453,31057037,31089807,31301451,31302573,31380436,31555260,31571428,31652637,32000446,32089677,32228152,32798346,32874837,32883268,32971736,33113861,33223173,33407542,33452653,33460685,33484173,33629701,33658944,33671908,33918693,34273813,34699317,34721806,35084590,35218653,35720585,35823453,35888917,36014830,36035062,36167806,36256671,36338046,36697726,36812158,36813976,36819161,36845221,36857517,36910006,37011675,37093203,37287357,37373253,37630797,37866312,37971485,38059557,38127901,38166421,38304056,38658813,38915277,39045650,39314461,39479120,39627166,39683373,39938973,39968782,40013801,40109253,40152822,40389838,40687213,40959213,41247844,41415723,41456260,41598157,41891397,42101508,42354742,42439876,42586222,42599601,42640708,42651933,42864702,42891785,43092063,43172077,43217796,43238461,43338580,43430830,43498606,43915173,44158575,44209462,44331988,44414010,44502837,44550862,45102040,45256677,45423933,45565782,45592573,45758157,45974072,46000205,46175397,46388393,46405997,46817188,46854780,47092621,47102480,47374944,47506533,47632517,47725060,47755437,47978981,48042430,48439061,48473355,48666237,48741316,48748893,48962590,49112182,49409277,49599748,49602580,49738893,49747512,49795253,49978432,49980406,50019286,50212813,50232597,50410205,50533342,50739795,51300075,51303512,51470142,51478660,51626733,51704912,51720831,52006296,52116996,52171822,52361997,52636030,52728580,52743401,52851093,52990290,53176677,53296812,53465917,53490964,53507861,53664333,53835663,53872702,54070053,54115757,54122448,54276824,54313197,54468430,54637053,54720080,55200246,55220206,55237117,55779500,55965951,55982302,56225736,56250573,56522976,56612182,56813037,57098260,57133726,57263956,57270072,57294213,57454413,57631606,57638893,57650916,57706375,57716451,58014357,58124590,58168026,58253973,58507083,58755108,58994715,59501302,59523096,59845893,60035597,60301453,60416585,60492246,60584093,60837460,60887754,61061427,61112517,61210136,61277705,61507077,61560090,61769230,61774392,62019022,62058453,62088502,62103844,62137385,62215773,62431213,62566685,62736893,62761481,62927696,63073597,63163236,63253953,63274296,63588348,63789961,63939957,63992836,64090075,64241422,64330197,64428831,64458862,64707785,64888037,64905176,65031117,65217901,65362116,65497317,65592197,65664096,65874388,65930116,65962653,65997733,66414185,66935400,66963483,66967917,67122213,67147006,67208557,67250806,67353477,67815357,68109622,68297806,68479635,68517912,68538862,68595461,68704036,68861403,68923813,69185357,69247650,69425133,69496191,69654237,69749508,69811318,69886047,70053493,70118693,70160260,70340253,70654985,70781737,70793658,71100213,71109272,71183583,71210404,71396715,71397760,71400580,71479293,71732590,72499902,72692175,73004952,73018323,73044944,73060438,73064877,73243097,73533246,73864160,73872108,73898643,74123076,74199502,74346493,74564862,74714613,74953784,75080022,75302325,75568084,75818806,75832773,75981453,76114205,76156496,76251037,76359581,76501077,76871517,76908090,77082651,77100142,77127555,77156662,77390293,77538320,77649342,78471435,78717541,79028585,79054276,79072937,79154853,79244356,79301373,79326718,79374597,79503461,79685000,79697022,79740357,79997931,80322480,80468566,80539501,80769508,81099485,81192541,81269997,81363982,81394995,81485326,81523375,81527237,81751621,81922317,81994677,82035296,82130571,82175562,82269392,82455421,82485304,82631497,83097180,83197675,83471446,83504861,83508693,83652333,83702864,83719381,83929733,84192312,84209197,84224681,84271006,84288793,84289828,84323007,84577647,84625577,84726573,84785982,84797997,84813461,85001860,85154757,85653213,85676058,85677312,85680696,86079108,86180356,86333182,86465357,86646597,86717373,86821328,86858853,86926575,87230610,87665885,87974575,88338597,88408797,88521277,88636992,88697860,88802571,89179413,89427224,89458917,89508196,89618813,89645625,89698985,89905481,89988015,90086397,90362790,90608758,90920013,91169188,91337046,91557250,91773460,92043913,92095053,92163957,92289708,92530205,92553066,92554468,92576877,92702213,92721680,92795967,93045984,93126093,93162437,93166213,93168430,93194637,93331653,93418375,93478198,93605397,94165722,94166437,94170077,94185880,94541705,94608233,94628517,94716351,94834302,95343785,95375373,95622000,95646237,95849133,95987216,96072580,96199222,96282197,96357257,96365908,96386976,96390783,96544205,96612411,96687844,96956477,97056877,97061973,97112235,97299460,97319382,97397493,97542742,97611796,97673994,97828050,97912660,98400453,98432355,98462590,98866653,99149806,99198933,99716616,99726461,99729485,99837210,99859157,99931621,99991822,...,5783574887385057816773256622585140183701741837608429349055620112813576588052348103976460206354047500537655028946437979151142317228620957017918650161247684458399805696885115728055783144906925039553927438767251958081715898262886262203926729567204146918602726703740472438159208199593586277337311017588813731494018572639776205243110878669326656564595902585034894255761734935735398115131271801310045268676174050083871145173735222053083425196366232787361537123106797452256687226036770193128327651978283886622436649564308020421019978216205656017915371603712999908428656501878936922874096894279127147701752250622169571611132242087945970689931735726131421154244279711445062776177843539035782959970246889441600215755968924584246942986737889327917956958823786583934370910938719748294269365423465186297258684097369438984400751060802279809075075297675382807683640696778019825995749655700953679397984374382288501776279388921499479669573124365434646621335795691380559274645611151102516801272935585716615712611289083974841795725948768408639947371151359800453623781078822827751133162878064995038947710985610228690785678729727400970427993847043803703369819674525596011335327438965462064740545077589083958326134864919979106510096810676343223424216592016850681209193852258297621901805762142270406126042407401104696902928261612109324015602463470670585192898970977330605020989947070151245898725712955289764709294257030323038730049420621101666984720124884458580575253536243895063154539527629866849854591975891410419572123153876244588208128550256773242722200358344265349465278109783034998242874286121860046717524993915792925763108208043083823988923280381136358527451993101234813670103761225242263241768055146974274773493244289673591055583422654131509319340236511374167054159900567668256632540401479897863673991271720772965019545761056114924361111316861833483736720537002485177149091572905815503100266204865662827672403021115497576963989855816203675018815902504635231174767442791236372076039961987562241406012804608175795010764080761881514015338393790520107176459300222277023373237699875202793330908937595616295564137916042662630449083977806418081247350024001119292244578435727583907236391112807398997572016854945739584913867493746583023722055441927080568249832248680452677539925789848678918313786515432252156199822267224607198248543323857050134699312538964481082433743341989322367772797622567906446240596500607215508420695991251816091321751578539737355299791224799337749347339856103934851180109912162560411172815682726267653949936606475901882005581452485643551203}
15964 19057023542083089984509323838397147347326598879741650317611387949: {79795,95754,652843,1318123,1369034,1466204,1939922,2319794,2356604,2610716,2638099,2731843,2991644,3012643,3106099,3266954,3372284,3572299,3665323,3752636,4398794,4406923,4512476,4542045,4591603,4639004,4844848,4960099,5018396,5271164,5450454,5689509,5967523,6407036,6773225,6836973,7019594,7205714,7237099,7597243,7776883,8045803,8127870,8669728,8670763,8671004,8835045,8874314,9023816,9026299,9424048,9548636,9641885,9753444,9796274,9924284,10151793,10151869,10263885,10299644,10349299,10365873,10602054,10699363,10924604,10948144,11570262,11811914,12172124,12316662,12340325,12518299,12545756,12946699,13032163,13085522,13288123,13292156,13373299,13701093,13713283,14037404,14221099,14285564,14409596,14502670,14657564,14808390,15145363,15700209,15795616,15968445,16149194,16161845,16285137,16309099,16310825,17033008,17049763,17180086,17244609,17376764,17403204,17458723,17576522,17621803,17623196,17697813,17770068,17947099,18004389,18028243,18361724,18463922,18690725,18814245,18817874,18844328,19156699,19162134,19347722,19394214,19429773,19467356,19572990,19590044,19700234,19835324,20033443,20068528,20578994,20692796,20718100,20744299,20869809,20877856,21068825,21096776,21104522,21199869,22037084,22353009,22380283,22403036,22428870,22572033,22577094,23074845,23088350,23366834,23453299,23487588,23620796,23733873,23804885,23924128,24091976,24180961,24345573,24512203,24542980,24613168,24839336,24861720,24918794,24956636,25158453,25282590,25334299,25390805,25435293,25441436,25631083,25715645,26046716,26304189,26441299,26519168,26610725,26806699,26879563,26892764,26914644,26968096,27097723,27103473,27689814,27706020,27857756,27892099,27944253,27969435,28199633,28565862,28567496,28677763,28700444,28850269,28890523,28940924,28961299,28982825,29146533,29451576,29553088,29834064,30016509,30141404,30339108,30361699,30430963,30468966,30776203,30843314,30858774,30860156,31009994,31051099,31119643,31121645,31458236,31932870,31984557,32004163,32138433,32174876,32212229,32503634,32676283,32978445,33009643,33133023,33247224,33407299,33516049,33563322,33723644,34025073,34061728,34129603,34544230,34779390,34870893,35029916,35061400,35100523,35177008,35503964,35870285,36095804,36267722,36560589,36606977,36620299,36753074,36804956,36869563,36923036,37098016,37160637,37241299,37303003,37345974,37403127,37487683,37559114,37795173,38159299,38247693,38319444,38461699,38521963,38690396,38708813,38929736,39001483,39120643,39225545,39277916,39298843,39444075,39464285,39574134,39630044,39665576,39981884,40227313,40285190,40450556,40595253,40747274,41045203,41104085,41152604,41214670,41329963,41453076,41497053,41535314,41735268,41736764,42006043,42073680,42089885,42203516,42319754,42786236,42884997,42944714,43044342,43272883,43327099,43529073,43543243,43731128,43795953,43833116,43865299,43963413,44187722,44297564,44302577,44497034,44623773,44645564,44659099,44878592,44890573,45224924,45241798,45385363,45505509,45895483,45946099,46017470,46248283,46265756,46398403,46493522,46647163,46746163,46958204,47070654,47236843,47332890,47357142,47492221,47710034,47764604,47880070,48000669,48342228,48450728,48897523,49081699,49143356,49197519,49324902,49348900,49457604,49517522,49716476,49831004,50029723,50111313,50174396,50488416,50507862,50606501,50710994,50746076,51115909,51455323,51539203,51545084,51559805,51706099,51820325,51887036,52082709,52563403,52626885,52881643,52911164,52923914,52960483,53049845,53078203,53251964,53272963,53300885,53479004,53504299,53537096,53542603,53558869,54022245,54034003,54052593,54071299,54173225,54236114,54251709,54440299,54507069,54612284,54670922,55046589,55061734,55218237,55220964,55296523,55365009,55414985,55824074,55838717,55855196,56135344,56144323,56373643,56377550,56503099,56540114,56695123,56790163,56792029,56799468,56869244,57152936,57437299,57456084,57467590,57556963,57586699,57623728,57704923,57819914,57909043,57961394,58278763,58472803,58521485,58553564,58554883,58568475,58582099,58690243,58876723,58878100,58947722,58955563,59007763,59213683,59218680,59337116,59365099,59390083,59440749,59489299,59656325,59953173,60219163,60229233,60286123,60342236,60439843,60526099,60565244,60584757,60611203,60622154,60754376,60839299,60926645,61010876,61435243,61451594,61489243,61567196,61664563,61726922,61871766,61946083,61999685,62003225,62138834,62162299,62184390,62220613,62221483,62293843,62322283,62378299,62412722,62473040,62686034,62749963,62773363,62939683,62981299,63117883,63152262,63166592,63223723,63342044,63430363,63496099,63517843,63532113,63548299,63616843,63627643,63647299,63659814,63673916,63676603,63685099,63692443,63695683,63701299,63702523,63879333,63914326,63961062,64129390,64297053,64348325,64448522,64631140,64826694,64888316,64998524,65007870,65146245,65247909,65507222,65584561,65879036,65910725,66314193,66318524,66330016,66497982,66621015,66636934,66826293,66863705,66976796,67653060,67769522,67846030,68348673,68400100,68422922,68441813,68626856,68835644,68961108,69341728,69489328,69724375,69815996,69965662,70225782,70282170,70468124,70653720,70902236,71000522,71062416,71372825,71552444,71579945,71587590,71780884,71889074,71985718,72063645,72093404,72163264,72174641,72417596,72849404,73111974,73240006,73443885,73520522,73600328,73668273,73769354,74399622,74403870,74621268,74679709,74967648,74970609,75000764,75028929,75363968,75750716,75800013,75968662,76046825,76360096,76392284,76512670,76605884,76831154,76867888,76955268,77205213,77217990,77352476,77557368,77629805,77671964,78009444,78175494,78180569,78248821,78257733,78340144,78659620,78884861,78954045,79092870,79364128,79485435,79794524,79919954,79945218,79991045,80153522,80236446,80656328,80809053,80966474,81131470,81183672,81312722,81415236,81483356,81702645,82009436,82080120,82342985,82365856,82412645,82744604,82798154,82800369,82830309,82954364,83336773,83669250,83973453,83988814,84217648,84338604,84365728,84370634,84703922,84784464,84918273,84925394,85253276,85647390,85700589,85773596,85880045,85895934,85905108,86263661,86447409,86476374,86503846,86708156,87149488,87186885,87252039,87329756,87430922,87552128,87700325,87752114,87950204,87965522,88132662,88496522,88707914,88886590,89013005,89247200,89250725,89251953,89284644,89290556,89496284,89804636,90274994,90420476,90638086,90738369,90892754,91256190,91306180,91331631,91357216,91470574,91815204,91870198,92330200,92340135,92562833,92566844,92653845,92661588,92872316,92999344,93028533,93132753,93155766,93181396,93311954,93692230,93787004,93903794,94391544,94393034,94460105,94744854,94800284,94911444,94972486,95195620,95305724,95382522,95743754,95989254,96029522,96362133,96666536,96688293,96802069,96922900,97252874,97339936,97355734,97357764,97419836,97716914,98043174,98044328,98466529,98496144,98531524,98811582,98817845,98830768,98895174,99055445,99087434,99267722,99419816,99428953,99447434,99606250,99619484,99715922,99894194,...,7711433183180077089031008830113520244935655783477905798740826817084768784069797471968613608472063334050206705261917305534856422971494609357224866881663579277866407595846820970741044193209233386071903251689669277442287864350515016271902306089605529224803635604987296584212277599458115036449748023451751641992024763519701606990814504892435542086127870113379859007682313247647197486841695735080060358234898733445161526898313629404111233595154977049815382830809063269675582968049026924171103535971045182163248866085744027228026637621607541357220495471617333211238208669171915897165462525705502863602336334162892762148176322783927960919908980968175228205659039615260083701570458052047710613293662519255466954341291899445662590648983852437223942611765048778579161214584959664392359153897953581729678245463159251979201001414403039745433433730233843743578187595704026434660999540934604905863979165843051335701705851895332639559430832487246195495114394255174079032860814868136689068363914114288820950148385445299789060967931691211519929828201813067271498374771763770334844217170753326718596947980813638254380904972969867960570658462725071604493092899367461348447103251953949419654060103452111944434846486559972142013462414235124297898955456022467574945591803011063495869074349523027208168056543201472929203904348816145765354136617960894113590531961303107473361319929426868327864967617273719686279059009373764051640065894161468889312960166512611440767004714991860084206052703506489133139455967855213892762830871834992784277504733675697656962933811125687132620370813044046664323832381495813395623366658554390567684144277390778431985231040508181811369935990801646418226805014966989684322357406862632366364657659052898121407444563538842012425786982015165556072213200756891008843387201973197151565321695627697286692727681408153232481481755815777978315627382669980236198788763874420670800354939820883770229870694820663435951986474421604900025087870006180308233023257054981829434719949316749655208017072810901060014352107682508685353784525054026809568612400296369364497650266500270391107878583460821727418850554723550173932111970408557441663133365334825722992771247636778542981854817076531996762689139927652779885156658328777364962740589236107424333109664907270236719901053131571891085048687243002874933096356299476264331391098476066846265750051952641443244991122652429823697063496757208594987462000809620677894261321669088121762335438052983140399721633065783665796453141471913134906813216216747214897087576968356871933248808634535842674108603314191401604}
15965 19140478604685789861531012818344260583851339011991171144779481050: {127672,143631,1832755,2053551,2199306,2909883,2945755,2980219,3263395,3479691,3534906,3739555,3916074,4215355,4239242,4487466,4690795,4900431,5058426,5386706,5429743,5628954,5640595,5798755,6002971,6056060,6272995,6588955,6598191,6768714,6958351,6958506,7176763,7267272,7527594,7586012,7848067,7895839,7906746,8008795,8175681,8223919,8246042,8421151,9115964,9270283,9579626,9610554,10158874,10529391,10613971,10808571,10837160,10838755,11087179,11279770,11708719,11780060,11935795,12191805,12405355,12451786,12704899,12752443,12830714,12874555,13004592,13006506,13311471,13377787,13535724,13655755,13685180,13821164,14136072,14322954,14630166,14658163,14694411,14886426,14903882,14994643,15215155,15308306,15427016,15449466,15682195,15903081,15936667,16386906,16422216,16474819,16488787,16615195,17355393,17546755,17559962,17717871,17784026,17809327,17856955,18011995,18088459,18258186,18268124,18321955,18459679,18474993,18745514,18818634,19163539,19368691,19628283,19744520,19938234,20933612,21056106,21080479,21291260,21428346,21536522,21614394,21656707,21713516,21720955,21734419,21754005,21986346,22028995,22212585,22281043,22365242,22800943,22952155,22992812,23147359,23204272,23555410,23597084,23693424,23836219,23994667,24005852,24100579,24223791,24334195,24487555,24794155,24806122,24996559,25085660,25199954,25549512,25770129,25858952,25865995,25897625,25906364,25982234,26065146,26092483,26097320,26104806,26248783,26364783,26370970,26434794,26655102,27165547,27281419,27542586,27546355,27617059,27695883,27826412,27998203,28003795,28226811,28266492,28313263,28743201,29000719,29021583,29091321,29201034,29359485,29385066,29525995,29550351,29752986,29804012,29905160,30096044,30102792,30114970,30134546,30274831,30561722,30594979,30610411,30678725,30766460,30779882,30868491,31039194,31049170,31077150,31195795,31316784,31404043,31645164,31656783,31801795,31869322,32460764,32558395,33055626,33148960,33460603,33544604,33604554,33615955,33643305,33710120,33865641,33913724,34063519,34632525,34707379,34822195,35050251,35072252,35224459,35231382,35431194,35709370,35875555,35886192,36137964,36176155,36703771,36814470,36919752,36941360,37259004,37292580,37356667,37378191,37434954,37676755,37923885,38087816,38162154,38264737,38575195,38588143,38732506,38862044,39070074,39134563,39268768,39270319,39322795,39778752,40022012,40218595,40339146,40371966,40422842,40452144,40550899,40625288,41145032,41150827,41534721,41559030,41786634,42146179,42154555,42360074,42394387,42577160,42646076,42848793,42851244,43050666,43101034,43307962,43411386,43504082,43787395,43826750,43971260,43977007,44177364,44329632,44379955,44547931,44721307,44751096,45119755,45212106,45366764,45508662,45703449,46006195,46153795,46264971,46288161,46290234,46372520,46494524,46514991,46751023,46844959,47187354,47899305,48262314,48362995,48515059,48662170,48747452,48755451,48783823,48818194,49097395,49118426,49537555,49547516,49581970,49794632,49870836,49977355,50008819,50344983,50393564,50420762,50475403,50522191,50563195,50585466,50996924,51092592,51440755,51802234,51816345,51845851,51851971,52169085,52170955,52247546,52544874,52592100,52754395,52765512,52839919,53160079,53255946,53278867,53391922,53482795,53514703,53623567,53851963,54127004,54143706,54401583,54663910,54791395,54842143,54843451,55129611,55207434,55270768,55329404,55371955,55384554,55647024,55806955,56018961,56098240,56338671,56448619,56531155,57179996,57246163,57392456,57479166,57832195,58035594,58038764,58224547,58394604,58617884,58697755,58713146,58916874,58948507,59361201,59445066,59498364,59571919,59705755,59972826,60048499,60427785,60563410,60578683,60674012,60675834,60803162,61120911,61429195,61686125,61728906,61822005,62114074,62145595,62179614,62288755,62302971,62602902,62605146,62717995,62760872,63110520,63142856,63236563,63305274,63432595,63479631,63677707,63928843,64000892,64175983,64179354,64400287,64417071,64431355,64456304,64566513,64858795,65523043,65596692,65613043,65749674,65766536,65943472,66138955,66227722,66281583,66446346,66564955,66745551,66815084,66848755,66905306,66921370,66968346,67089859,67259402,67317888,67343816,67837386,67862697,68215627,68265355,68547626,69026205,69389179,69398634,69443612,69740283,69818995,69909811,70169180,70437306,70574287,70605981,70999335,71035713,71086555,71441170,71565051,71646906,71700067,71777834,71820105,72029660,72070124,72335612,72513342,72676092,73191955,73395452,73597625,73624316,73627952,73638322,73690442,73715034,73794739,73820012,73987353,74023350,74171395,74186406,74276283,74558971,74574714,74637091,74746506,74841259,75083299,75261594,75427795,75585103,75706555,75732624,75761793,75942970,76066491,76119114,76255802,76263595,76332842,76342543,76568059,76608112,76815931,76958995,77317626,77485231,77518051,77830554,77903419,78091300,78367951,78565003,78628922,78958240,79177555,79254332,79366746,79385871,79592395,79763743,79877946,79937564,80027602,80044579,80218506,80305644,80779676,80788925,80989507,81067363,81110395,81248155,81354171,81374426,81625759,81630379,81918426,82006383,82254979,82348795,82495688,82592601,82831446,82856719,82898155,82912520,83055067,83196314,83720995,83736111,83782794,84203016,84526243,84566325,84583219,84709484,84810171,84879752,85172444,85199202,85281416,85303866,85490383,85500125,85729404,85783570,85788787,86044555,86184126,86201385,86301331,86344154,86435592,86476922,86677160,86729871,86861660,86942091,86992339,86997212,87269995,87593359,87830346,88085155,88317150,88418924,88421583,88627795,88663976,88675579,88828020,88950703,89005674,89101724,89440555,89726105,89916907,90116755,90204080,90474907,90513354,90521995,90590899,90818227,90847866,90933231,91061755,91131564,91185146,91293931,91516314,91722763,91948144,92000410,92030299,92177391,92350794,92590383,92776786,92807649,92811994,92979859,93208251,93276585,93619083,93634376,93709560,93750955,94029051,94133467,94185242,94204960,94256479,94269067,94688395,94728393,94749888,94842271,95013066,95265034,95316463,95450120,95489721,95490355,95510874,95757355,95786731,95871489,95941593,95957962,96034831,96084860,96105859,96194085,96350371,96620623,96672783,96690595,96878122,96946710,97089955,97200559,97209859,97240041,97332474,97362283,97387219,97482632,97497786,97511805,97597819,97650643,97677343,97925180,98224364,98260833,98324525,98687563,98818554,98916979,99199496,99205160,99477786,99495024,99590506,99743155,99746973,99955401,99956864,99960812,...,11567149774770115633546513245170280367403483675216858698111240225627153176104696207952920412708095001075310057892875958302284634457241914035837300322495368916799611393770231456111566289813850079107854877534503916163431796525772524407853459134408293837205453407480944876318416399187172554674622035177627462988037145279552410486221757338653313129191805170069788511523469871470796230262543602620090537352348100167742290347470444106166850392732465574723074246213594904513374452073540386256655303956567773244873299128616040842039956432411312035830743207425999816857313003757873845748193788558254295403504501244339143222264484175891941379863471452262842308488559422890125552355687078071565919940493778883200431511937849168493885973475778655835913917647573167868741821877439496588538730846930372594517368194738877968801502121604559618150150595350765615367281393556039651991499311401907358795968748764577003552558777842998959339146248730869293242671591382761118549291222302205033602545871171433231425222578167949683591451897536817279894742302719600907247562157645655502266325756129990077895421971220457381571357459454801940855987694087607406739639349051192022670654877930924129481090155178167916652269729839958213020193621352686446848433184033701362418387704516595243803611524284540812252084814802209393805856523224218648031204926941341170385797941954661210041979894140302491797451425910579529418588514060646077460098841242203333969440249768917161150507072487790126309079055259733699709183951782820839144246307752489176416257100513546485444400716688530698930556219566069996485748572243720093435049987831585851526216416086167647977846560762272717054903986202469627340207522450484526483536110293948549546986488579347182111166845308263018638680473022748334108319801135336513265080802959795727347982543441545930039091522112229848722222633723666967473441074004970354298183145811631006200532409731325655344806042230995153927979711632407350037631805009270462349534885582472744152079923975124482812025609216351590021528161523763028030676787581040214352918600444554046746475399750405586661817875191232591128275832085325260898167955612836162494700048002238584489156871455167814472782225614797995144033709891479169827734987493166047444110883854161136499664497360905355079851579697357836627573030864504312399644534449214396497086647714100269398625077928962164867486683978644735545595245135812892481193001214431016841391982503632182643503157079474710599582449598675498694679712207869702360219824325120822345631365452535307899873212951803764011162904971287102406}
15966 19224296283638647064314319589207183111671848243728328221055513393: {111713,159590,191508,462173,684689,748193,843389,938513,1255073,1305686,1413053,1696913,2356733,2482013,2575889,2636246,2738068,2825873,2932408,3044189,3137633,3298959,3572753,3603773,3665789,3758753,3879844,4438289,4639588,4713208,4960733,5221432,5266973,5276198,5302359,5419793,5463686,5602913,5874111,5968289,5983288,6025286,6180893,6212198,6358863,6533908,6731199,6744568,6816353,7144598,7330646,7505272,7570075,7587639,7718033,8076689,8080059,8443431,8797588,8813846,9024952,9084090,9116189,9183206,9278008,9322913,9470333,9482515,9689696,9911393,9920198,9999389,10036792,10087313,10153071,10350653,10437759,10542328,10900908,11165789,11252753,11291391,11379018,11394955,11744189,11860119,11935046,12369063,12519953,12548573,12814072,12976913,13318289,13498639,13546450,13673946,14039188,14307389,14369439,14411428,14415831,14474198,14725075,14728289,14924093,15091613,15194486,15230993,15238311,15553766,15924893,16091606,16173473,16255740,16311293,16668689,16919655,17079389,17106475,17276455,17339456,17341526,17342008,17542673,17670090,17748628,17895389,18047632,18052598,18111773,18381533,18677679,18838289,18848096,19025693,19097272,19246071,19283770,19425953,19506888,19509759,19592548,19848568,20036189,20303586,20303738,20510813,20527770,20599288,20694689,20698598,20731746,20773373,20825789,21008993,21204108,21398726,21484431,21530273,21849208,21896288,21945249,22254689,22329639,22355823,22460513,22626583,22717073,22835155,22947293,22962459,23140524,23174199,23227793,23623828,23785889,24344248,24540689,24580359,24633324,24680650,24990113,25036598,25091512,25362653,25782689,25893398,26064326,26167015,26171044,26339943,26469473,26576246,26584312,26614075,26676039,26746598,27125789,27141895,27387279,27402186,27426566,27920033,27967889,28074808,28118271,28227951,28442198,28563389,28571128,28681889,28741015,28819192,28918289,28965473,28989053,29005340,29315128,29496355,29552573,29616780,29907351,30007315,30290726,30319889,30366113,30711773,30780689,31078493,31124189,31283873,31357075,31397693,31400418,31584159,31591232,31805789,31873553,31936890,31963793,32142519,32298388,32304783,32323690,32382955,32421591,32435453,32547233,32570274,32618198,32621650,32979519,33302033,33326839,33547863,33697889,34066016,34099526,34199933,34360172,34489218,34753528,34783015,34806408,34917446,35153044,35243606,35246392,35333115,35362013,35395626,35540136,35547127,35807633,35892113,35894198,36001903,36008778,36056486,36333533,36723448,36750653,36895889,36927844,37061393,37209183,37255015,37381450,37452413,37620055,37628490,37635748,37688656,37799931,37921889,38063933,38313398,38324268,38458075,38467613,38527889,38695444,38788428,38859546,38888033,38934712,38973351,39097719,39145980,39157209,39180088,39383933,39400468,39556455,39561233,39652191,39670648,39982653,40066886,40137056,40244573,40534433,40575955,40879889,40937213,41157988,41313879,41355389,41385592,41436200,41488598,41739618,41755712,41863313,41919389,41930755,41975393,42068573,42137650,42193552,42209044,42235793,42392155,42399738,42623453,42843389,43171133,43262791,43297889,43352093,43570303,43801551,43840315,43890173,43925789,44074168,44077599,44138813,44456189,44629479,44706018,44718689,44760566,44806072,44840573,44857740,44892689,45144066,45154188,45172455,45186653,45201819,45358493,45614753,45716753,45746779,45842583,45970493,46149690,46169823,46176700,46255889,46422689,46558791,46573755,46615725,46621793,46671389,46733668,46906598,46975176,47195933,47241592,47244689,47293373,47467746,47609770,47803983,47848256,47919713,47967389,48078353,48183952,48314813,48361922,48487073,48577555,48642833,48691146,48859553,48905789,48951953,49024406,49059389,49085960,49105313,49226336,49242653,49583439,49678672,49723440,49837588,49913272,50027515,50082653,50218399,50316906,50406831,50522333,50565180,50668598,50696189,50781610,50870586,50882872,51224993,51262166,51337889,51431290,51478289,51728993,51756689,52059233,52093432,52168289,52263293,52357591,52532573,52608378,52612733,52811873,52847073,52882598,53038336,53100689,53146791,53221450,53307595,53526653,53552189,53564055,53613398,53704733,53759126,53785528,53829288,53936192,54195446,54206946,54278813,54340193,54668189,54752273,54788189,54883613,54915763,54964075,55221705,55249999,55283453,55379628,55410833,55412040,55456913,55491389,55525793,55715512,55784198,55798433,55888506,55938870,56132753,56152431,56165789,56187773,56399266,56416673,56545889,56560207,56578013,56708455,57051233,57092513,57131724,57134992,57243231,57246173,57355526,57400888,57458273,57545719,57577889,57597713,57700538,57781046,57881848,57922598,57965650,58098759,58118155,58158689,58293066,58299389,58484189,58605111,58710689,58903152,58925839,58993313,59079953,59106176,59250833,59376893,59501153,59668128,59689663,59807683,59941373,59964689,60033018,60103073,60282808,60305789,60415889,60508719,60538493,60545633,60557949,60609533,60634263,60678216,60714593,60723398,60790493,60817853,60851873,60861926,60934315,60937932,60952733,60972689,61018973,61038689,61071389,61155473,61307153,61436093,61552406,61614173,61666193,61683389,61686628,61711889,61717548,61720312,61728893,61934395,62012189,62019988,62053853,62102198,62105213,62239286,62239889,62243290,62278673,62312189,62338545,62396573,62405789,62460413,62473889,62553233,62570513,62591933,62679713,62679951,62696033,62756093,62844689,62911073,62916472,62953889,62991955,62995553,62998973,63049313,63094673,63135389,63144593,63159773,63186593,63195389,63257693,63351293,63380189,63494033,63516689,63529373,63538193,63540111,63563453,63573053,63583889,63616733,63629693,63632189,63649889,63660689,63677213,63716189,63717053,63717473,63722513,63725153,63727133,63746155,63865740,63969114,64008326,64276866,64349752,64424458,64575999,64651551,64961943,65007268,65117079,65256123,65352566,65740125,65956890,65991211,66019286,66266046,66494448,66814598,67032098,67126644,67447288,67658755,67818159,68050146,68123456,68259206,68262993,69088460,69161755,69435351,69558780,69741786,70059832,70122800,70201046,70354016,70781031,71007928,71215639,71474995,71740570,72183727,72191608,72393471,72535444,72548455,72993255,73121178,73213954,73227291,73240598,73272355,73506148,73609912,73677639,73739126,73846072,74196032,74269783,74321274,74372955,74482598,74606006,74621239,74691948,74806254,74975366,75118228,75590346,75631143,75842515,75878199,76318598,76493791,76495386,76638888,76923398,77043926,77380792,77417626,77580979,77703351,77859472,78002966,78241286,78371319,78451090,78555832,78597686,78817311,78888150,78928570,79148268,79260088,79331152,79883919,79963768,80001115,80087883,80454626,80570380,80885779,80901112,81190506,81215559,81494548,81930079,81995865,82090406,82208170,82305208,82429340,82659926,82732903,82811151,82906152,82994106,83070628,83076831,83470536,83473528,83518855,84012086,84147360,84179770,84407032,84639508,85297303,85572472,85769994,85889428,86088684,86218749,86545766,86654198,86799559,86804515,87053391,87058146,87086486,87378283,87462256,87591906,87666232,87711475,87730598,87926826,88069719,88375311,88375444,88595128,88605154,88994068,89167599,89247546,89291128,89318198,89757184,89781146,89959239,90037075,90087655,90419515,90449848,90483596,90770726,90845115,91011018,91013751,91204743,91744315,91790966,91892198,92030395,92034940,92212879,92275015,92496566,92531512,92593359,92796806,92987044,93171111,93227563,93269421,93294326,93492326,93609187,93904353,93907719,93916408,94141308,94473686,94665780,94714284,94957911,94984442,95420068,95529208,95760140,96001338,96269031,96412327,96684456,96901456,97614125,97795046,98163398,98286712,98395038,98624511,98649804,98697800,98915208,99035044,99067915,99341583,99432952,99662008,99669519,99921955,...,17350724662155173450319769867755420551105225512825288047166860338440729764157044311929380619062142501612965086839313937453426951685862871053755950483743053375199417090655347184167349434720775118661782316301755874245147694788658786611780188701612440755808180111221417314477624598780758832011933052766441194482055717919328615729332636007979969693787707755104682767285204807206194345393815403930135806028522150251613435521205666159250275589098698362084611369320392356770061678110310579384982955934851659867309948692924061263059934648616968053746114811138999725285969505636810768622290682837381443105256751866508714833396726263837912069795207178394263462732839134335188328533530617107348879910740668324800647267906773752740828960213667983753870876471359751803112732816159244882808096270395558891776052292108316953202253182406839427225225893026148423050922090334059477987248967102861038193953123146865505328838166764498439008719373096303939864007387074141677823936833453307550403818806757149847137833867251924525387177846305225919842113454079401360871343236468483253399488634194985116843132956830686072357036189182202911283981541131411110109459023576788034005982316896386194221635232767251874978404594759937319530290432029029670272649776050552043627581556774892865705417286426811218378127222203314090708784784836327972046807390412011755578696912931991815062969841210453737696177138865869294127882771090969116190148261863305000954160374653375741725760608731685189463618582889600549563775927674231258716369461628733764624385650770319728166601075032796048395834329349104994728622858365580140152574981747378777289324624129251471966769841143409075582355979303704441010311283675726789725304165440922824320479732869020773166750267962394527958020709534122501162479701703004769897621204439693591021973815162318895058637283168344773083333950585500451210161611007455531447274718717446509300798614596988483017209063346492730891969567448611025056447707513905693524302328373709116228119885962686724218038413824527385032292242285644542046015181371560321529377900666831070119713099625608379992726812786848886692413748127987891347251933419254243742050072003357876733735307182751721709173338422196992716050564837218754741602481239749071166166325781241704749496746041358032619777369546036754941359546296756468599466801673821594745629971571150404097937616893443247301230025967967103318392867703719338721789501821646525262087973755448273965254735619212065899373674398013248042019568311804553540329736487681233518447048178802961849809819427705646016744357456930653609}
15967 19308478142216977163040706313429890331686138847055246657571023855: {239385,255344,287262,1958529,2565857,3330833,3422585,3522077,3665510,3954369,4107102,4124057,4398612,4568753,4849805,5235377,5799485,5819766,5891510,5901497,5960438,6416969,6479033,6526790,6567113,6959382,7069812,7479110,7526849,7832148,7896833,7914297,8118257,8167385,8195529,8389313,8430710,8478484,8481629,8771369,8782193,8974932,9037929,9224537,9318297,9381590,9719177,9800862,10009277,10116852,10716897,10773412,10859486,10955789,10995969,10996985,11212313,11257908,11281190,11345969,11597510,11628017,11710193,12005942,12112120,12391553,12545990,13177910,13196382,13220769,13536857,13537428,13626135,13774809,13797113,13837577,13916702,13917012,14199593,14300393,14353526,14534544,14880297,15055188,15071069,15172024,15174257,15696134,15726089,15791678,15813492,16017590,16351362,16447838,16476893,16492084,16710113,16842302,16921553,17061773,17068527,17367497,17548985,17811569,17902569,18014285,18024377,18231928,18413033,18540566,19118057,19159252,19221108,19703357,20216513,20317748,20319675,20510919,21058782,21227942,21301217,21418073,21617142,21674320,21677510,21711297,21955073,22174358,22185785,22559540,22791729,23150273,23261273,23330649,23417438,23560120,23871590,24103613,24137409,24184193,24383610,24466457,24490685,24565457,24810710,24903572,24999737,25216793,25276217,25409798,25504886,25650737,25661428,25749110,26009184,26012289,26013012,26505135,26622942,26755574,26817569,26946569,27071448,27078897,27311510,27370360,27642328,28086413,28170077,28272144,28645908,28925655,29039033,29260332,29316326,29363969,29388822,29529785,29772852,29807764,29989286,30409337,30430310,30455379,30455607,30616612,30791655,30840593,30854032,30898932,31021289,31047897,31097619,31134797,31364390,31806162,31873334,32087417,32098089,32133017,32241677,32713805,32773812,32844432,32949638,32977574,33230390,33461129,34067873,34161857,34273577,34282577,34710786,34711817,35093510,35119924,35435742,35568052,35618654,35713910,36023990,36176918,36212393,36256675,36332969,36516372,36536248,36643910,36919358,36949986,37020975,37113869,37491028,37554897,37637268,38327078,38564897,38593049,38737382,38840097,39096489,39205313,39256566,39368513,39489040,39544349,39616313,39864369,39876468,40119897,40372985,41103279,41139849,41336393,41661593,41751569,41867224,42112212,42160958,42582520,42663297,42856692,42950215,43073044,43228788,43313414,43427032,43441910,43468838,43508010,43564673,43674113,43745777,43941305,43972692,44057990,44425170,44522513,44562086,44730484,45321593,45436089,45467753,45581753,45601886,45604169,45904310,45985624,46159805,46201457,46294718,46408544,46410377,47044685,47062337,47100627,47104553,47110820,47194168,47386848,47672438,47773913,47905335,47989334,48011704,48201158,48369305,48447582,48485535,48668390,48751073,48855411,48927297,48932475,48975110,49250585,49588310,49612244,49993118,50171320,50225777,50399908,50646617,51099024,51149289,51447485,51540258,51717904,51731990,51733827,51795250,51812728,51964468,52130292,52184966,52194640,52209612,52376169,52497566,52729566,52741940,52747457,52761305,52846673,52865409,52869588,53093439,53310204,53841297,53858849,54005273,54013167,54084729,54222713,54331094,54562838,55051913,55085172,55092710,55234118,55251209,55391766,55427969,55652824,55996406,56007590,56072175,56306033,56442735,56453622,56455793,56532984,56626526,57006857,57470097,57486402,57653609,57720875,57899633,58001438,58043166,58182642,58289319,58402068,58417085,58718970,58770132,59016377,59051990,59100702,59505972,59546969,59608024,59621057,59652749,59810320,59915273,60100329,60192088,60205584,60229940,60269092,60549662,61123444,61189958,61220822,61302353,61357450,61532920,61559764,61736982,62078388,62098340,62131937,62154300,62232897,62240033,62296985,62391590,62447177,62609427,62633568,62643257,62808086,63089633,63167657,63206475,63244649,63290328,63313566,63599607,63603590,63643229,63738644,63937049,64408673,64615313,64921528,65116790,66111252,66130877,66297920,66820529,66921206,67059027,67089208,67140849,67209108,67231910,67286610,67420240,67708193,67716099,67731282,67827448,67946153,68069273,68127038,68719289,68736353,69131273,69224535,69265050,69352577,69414758,69644390,69968297,70100502,70144504,70359897,70403177,70448918,70462764,70686173,70788473,70862388,71201619,71414655,71418740,71592989,71751110,71772384,72017057,72137057,72233153,72275928,72352310,72542883,72774017,72920153,73036719,73039337,73407542,73536609,73628940,73839504,73856153,73882720,74258297,74518008,74585160,74713334,74756382,74869908,74875913,75353510,75373937,75475359,75552269,75847770,76002897,76172415,76175632,76305879,76324308,76352249,76529474,76570097,76707953,76893249,77108285,77146935,77150390,77176286,77465012,77520737,77524985,77724088,78129737,78140148,78269126,78537536,78540638,78645590,78905849,78912567,79143617,79323897,79557504,79700969,79832175,80044024,80111849,80135369,80420097,80437190,80638689,80678292,80743932,80845684,80904288,80965073,81101798,81213113,81250576,81259085,81293169,81310419,81315197,81640817,82010609,82176857,82290064,82301654,82476473,83069442,83118060,83573268,83588057,83646113,83676297,83832759,83908305,84292358,84309110,84598899,84720148,84788774,85154320,85292152,85697586,85702488,85870493,86000873,86033289,86101332,86202068,86267417,86360575,86550807,86615924,86671569,86822772,86883897,86948475,87003833,87008164,87204257,87439599,87574790,87653500,87805193,87888113,87942520,87954014,87958337,88354728,88659264,88717553,88759910,88805633,89095862,89327849,89442614,89502192,89970113,90049527,90203897,90239510,90424212,90669305,90733528,90802313,90829769,91017324,91085097,91233953,91292889,91406898,91625357,91882685,92012390,92067677,92307590,92328609,92529942,92560733,92576322,92580468,92594537,92745040,92849549,92989048,93001217,93029982,93153297,93190937,93358929,93364935,93502046,93541853,93588257,93689918,93897785,94374708,95090777,95571497,95798610,95953671,96012489,96118073,96233513,96415299,96524628,96636687,96725990,97030118,97081553,97222337,97324340,97494904,97510902,97567646,97636388,97746593,97921577,98028849,98194790,98236852,98663969,98935335,99028929,99075110,99095032,99163940,99290249,99399069,99521177,99589264,99741672,99814457,99954710,...,23134299549540231267093026490340560734806967350433717396222480451254306352209392415905840825416190002150620115785751916604569268914483828071674600644990737833599222787540462912223132579627700158215709755069007832326863593051545048815706918268816587674410906814961889752636832798374345109349244070355254925976074290559104820972443514677306626258383610340139577023046939742941592460525087205240181074704696200335484580694940888212333700785464931149446148492427189809026748904147080772513310607913135546489746598257232081684079912864822624071661486414851999633714626007515747691496387577116508590807009002488678286444528968351783882759726942904525684616977118845780251104711374156143131839880987557766400863023875698336987771946951557311671827835295146335737483643754878993177077461693860745189034736389477755937603004243209119236300301190701531230734562787112079303982998622803814717591937497529154007105117555685997918678292497461738586485343182765522237098582444604410067205091742342866462850445156335899367182903795073634559789484605439201814495124315291311004532651512259980155790843942440914763142714918909603881711975388175214813479278698102384045341309755861848258962180310356335833304539459679916426040387242705372893696866368067402724836775409033190487607223048569081624504169629604418787611713046448437296062409853882682340771595883909322420083959788280604983594902851821159058837177028121292154920197682484406667938880499537834322301014144975580252618158110519467399418367903565641678288492615504978352832514201027092970888801433377061397861112439132139992971497144487440186870099975663171703052432832172335295955693121524545434109807972404939254680415044900969052967072220587897099093972977158694364222333690616526037277360946045496668216639602270673026530161605919591454695965086883091860078183044224459697444445267447333934946882148009940708596366291623262012401064819462651310689612084461990307855959423264814700075263610018540924699069771164945488304159847950248965624051218432703180043056323047526056061353575162080428705837200889108093492950799500811173323635750382465182256551664170650521796335911225672324989400096004477168978313742910335628945564451229595990288067419782958339655469974986332094888221767708322272999328994721810710159703159394715673255146061729008624799289068898428792994173295428200538797250155857924329734973367957289471091190490271625784962386002428862033682783965007264365287006314158949421199164899197350997389359424415739404720439648650241644691262730905070615799746425903607528022325809942574204812}
15968 19393025750382820352646604330844583357527672504650142910852413805: {223426,319180,383016,430893,494047,924346,970327,1065367,1255231,1369378,1496386,1686778,1728631,1877026,2388367,2510146,2611372,2826106,2857447,3393826,3604231,3790207,4713466,4807927,4964026,5151778,5272492,5451031,5476136,5498265,5651746,5725567,5864816,6088378,6160653,6275266,6363631,6597918,7088527,7145506,7207546,7331578,7517506,7759688,8346007,8729649,8837265,8876578,8880607,8940657,9279176,9324127,9426416,9501031,9790185,9921466,10117927,10439073,10442864,10533946,10552396,10556407,10598105,10604718,10818631,10839586,10927372,11080207,11205826,11218665,11427967,11688031,11748222,11936578,11966576,12050572,12361786,12424396,12550231,12646065,12717726,13067816,13234807,13275521,13462398,13466765,13489136,13632706,13660327,14072385,14084047,14289196,14661292,14701293,15010544,15140150,15175278,15260887,15436066,15511231,15952937,16153378,16160118,16289229,16588567,16886862,16921785,17327287,17396265,17595176,17627692,17735167,18008913,18049904,18141247,18168180,18222247,18232378,18366412,18556016,18645826,18818985,18940666,18965030,19379392,19766865,19794573,19822786,19840396,19998778,20073584,20174626,20306142,20615105,20701306,20875053,20875518,21084656,21530289,21559231,21801816,22103047,22331578,22335031,22505506,22566367,22582782,22720231,22758036,22789910,23256487,23332807,23488378,23544201,23687517,23720238,23870092,23949065,24026385,24187037,24527043,24671757,24738126,24844087,25039906,25097146,25263453,25397185,25628144,25953826,26253127,26636578,26997278,27092900,27347892,27810849,28078376,28199425,28614778,28738878,28822856,28831662,28948396,28993231,29450150,29456578,29556847,29836927,29848186,30046231,30183226,30388972,30461986,30476622,30739231,31107532,31129465,31220047,31288447,31588173,31841913,31849786,31900807,31969217,32076785,32183212,32238487,32305807,32346946,32425713,32511480,32516265,32622586,33261537,33337378,33839310,34158778,34212950,34226767,34291927,34552910,34678912,34683052,34684016,35085346,35126157,35340180,35388631,35497256,35516287,35580007,35790778,35807385,36024031,36095264,36105196,36223546,36339031,36575415,36633821,36763066,36777007,36839287,37216065,37259705,37355358,37676578,37696192,37998653,38051386,38114697,38194544,38257329,38270765,38492142,38567540,38623665,38851906,38913967,39013776,39019518,39185096,39390031,39508327,39685231,39697136,39934413,40072378,40133361,40237421,40560031,40607172,40607476,40733047,40967265,41021626,41055540,41134231,41198576,41294897,41389378,41397196,41463492,41531887,41546746,41651578,42010241,42017986,42093847,42408216,42648607,42797452,42968862,43060546,43250527,43698416,43736527,43790167,43792576,43890498,43899905,43974489,44057287,44083233,44163631,44313709,44460065,44509378,44659278,44711646,44921026,44983929,45253166,45314407,45336137,45434146,45622207,45645465,45670310,45894586,45924918,46281048,46348398,46455586,46863785,47046585,47220031,47247656,47317447,47571778,47709243,47810001,48086407,48688496,48696221,48883231,49081378,49160718,49266648,49361300,49424457,49466361,49845585,49980226,50073196,50183024,50619217,50725306,51128753,51191407,51565378,51786796,52066179,52128652,52157021,52334030,52342088,52555231,52635367,52640265,52668077,52675327,52679886,52938946,53149231,53152492,53153613,53168624,53228150,53352078,53427981,53493196,53570865,53841305,54035985,54251578,54265377,54283790,54288631,54774558,54804372,54853132,54905527,54965865,55188631,55293607,55379037,55424979,55432567,55467127,55840066,55876231,55913105,55935778,55976887,56149616,56236542,56438047,56455902,56806337,56884396,57126778,57142256,57257047,57363778,57482030,57490617,57638384,57836578,57912031,57930946,57978106,58010680,58106073,58282687,58532167,58630256,58703057,58884849,58888525,58935007,58992710,59091607,59105146,59220127,59233560,59271031,59349017,59814702,59953447,60014630,60069367,60384367,60558031,60581452,60639778,60664231,60727087,60732226,60809887,61031647,61129567,61301287,61376441,61423546,61561378,61627231,61679287,61747687,61764607,61877153,61881031,62015305,62072407,62156986,62248378,62297047,62437807,62567746,62697727,62709967,62714150,62770087,62795386,62800836,62828407,62851231,62999885,63013231,63140527,63168318,63182464,63186247,63214349,63241437,63304687,63366031,63516727,63544447,63555031,63589807,63611578,63625231,63652447,63663031,63693631,63706231,63730567,63733231,63743167,63747106,63873780,63927586,64285038,64596776,64609566,64647380,64765910,64843182,64870906,64955585,64970121,65094466,65140548,65162865,65203257,65236396,65243300,65262015,65927425,65959038,66086985,66604066,66637755,66653678,66843129,66843881,67095726,67395778,68008577,68132032,68199052,68399866,68402829,68720344,68856465,68978436,69442077,69507056,69566030,69612816,69834892,70038521,70306088,70487212,70492784,70542329,70666230,70724026,70791252,71080272,71094254,71508657,71615266,71784226,71788396,71984001,72003806,72017556,72112972,72301737,72667066,72671373,73002585,73446896,73462665,73501306,73791778,73855688,74122786,74382465,74418366,74510030,74630633,74762900,74904826,74989677,75240110,75256980,75271496,75287425,75336365,75377312,75599862,75843778,76127866,76404305,76626796,76648536,76916150,76935226,76949705,77055778,77310387,77390888,77576856,77597985,77622925,77692875,77719092,77776066,77869424,77946702,77989613,78195438,78277449,78291960,78314418,78360176,78746349,78767866,78800936,79094349,79112910,79122466,79304382,79341296,79391837,79673305,79965306,80133772,80274112,80489146,81068866,81151910,81365417,81496641,81759778,81844257,81874426,82315976,82627758,82639065,82710778,82771184,82851177,82872400,82977196,83087649,83479236,83511424,83726626,83838778,83861510,83950786,83994609,84011385,84137146,84163937,84275300,84387104,84418088,84471586,84680433,84784310,84799476,84939789,85246906,85308041,85686778,86229603,86342266,86525582,86595778,86704186,86708153,87002157,87064749,87140606,87273963,87603102,87680630,87780346,87851578,88078455,88148336,88155198,88188737,88277626,88577985,88651053,88912378,89244617,89258958,89273425,89412036,89437378,89521132,89612144,89681146,89715480,89785378,90288132,90308376,90344910,90373306,90401753,90403638,90716986,90824493,91229506,91433506,91493558,91685166,91784937,91831233,91940986,92036175,92299380,92339646,92353400,92511778,92605473,92845378,93117582,93147510,93231450,93243586,93342778,93467336,93587385,93813196,93950352,94212129,94391866,94483184,94489378,94586746,94722257,94935492,94970349,95219540,95405385,95607966,95696512,95839426,95934778,96156706,96367904,96629626,96723844,96826457,96831265,96974146,97155110,97285666,97382292,97658081,97675185,97719106,97775249,97811578,97903906,98048812,98118778,98171920,98210626,98452672,98485306,99166878,99357344,99446880,99675176,99826544,...,34701449324310346900639539735510841102210451025650576094333720676881459528314088623858761238124285003225930173678627874906853903371725742107511900967486106750398834181310694368334698869441550237323564632603511748490295389577317573223560377403224881511616360222442834628955249197561517664023866105532882388964111435838657231458665272015959939387575415510209365534570409614412388690787630807860271612057044300503226871042411332318500551178197396724169222738640784713540123356220621158769965911869703319734619897385848122526119869297233936107492229622277999450571939011273621537244581365674762886210513503733017429666793452527675824139590414356788526925465678268670376657067061234214697759821481336649601294535813547505481657920427335967507741752942719503606225465632318489765616192540791117783552104584216633906404506364813678854450451786052296846101844180668118955974497934205722076387906246293731010657676333528996878017438746192607879728014774148283355647873666906615100807637613514299694275667734503849050774355692610451839684226908158802721742686472936966506798977268389970233686265913661372144714072378364405822567963082262822220218918047153576068011964633792772388443270465534503749956809189519874639060580864058059340545299552101104087255163113549785731410834572853622436756254444406628181417569569672655944093614780824023511157393825863983630125939682420907475392354277731738588255765542181938232380296523726610001908320749306751483451521217463370378927237165779201099127551855348462517432738923257467529248771301540639456333202150065592096791668658698209989457245716731160280305149963494757554578649248258502943933539682286818151164711958607408882020622567351453579450608330881845648640959465738041546333500535924789055916041419068245002324959403406009539795242408879387182043947630324637790117274566336689546166667901171000902420323222014911062894549437434893018601597229193976966034418126692985461783939134897222050112895415027811387048604656747418232456239771925373448436076827649054770064584484571289084092030362743120643058755801333662140239426199251216759985453625573697773384827496255975782694503866838508487484100144006715753467470614365503443418346676844393985432101129674437509483204962479498142332332651562483409498993492082716065239554739092073509882719092593512937198933603347643189491259943142300808195875233786886494602460051935934206636785735407438677443579003643293050524175947510896547930509471238424131798747348796026496084039136623609107080659472975362467036894096357605923699619638855411292033488714913861307218}
15969 19477940684813319202049973265470217788153797311408438224949101288: {335139,398975,478770,510688,574524,1386519,2054067,2244579,2530167,2815539,3264215,3765219,3917058,3936439,4239159,4791619,5090739,5131714,6590615,6661666,6789727,6845170,7044154,7070199,7331020,7446039,7657039,7727667,7850039,7908738,8119279,8214204,8248114,8423267,8477619,8797224,8895367,9132567,9137506,9376291,9412899,9699610,9896877,10470754,10718259,10811319,10997367,11186839,11276259,11434339,11598970,11639532,11783020,11802994,11920876,12407747,12833938,12958066,12996019,13053580,13134226,13190495,13314867,13659215,13839319,13918764,14139624,14882199,14958220,15053698,15063215,15286627,15395779,15530495,15664296,15793666,15800919,15828594,15907077,16236514,16259379,16305679,16334770,16391058,16778626,16808739,16861420,16956968,16963258,17542738,17564386,17622333,17861495,17904867,17949864,18075858,18238447,18326615,18415351,18449074,18542679,18636594,18763180,19076589,19168367,19438354,19601724,19998199,20018554,20193597,20233704,20449059,21433794,21546824,21558659,21718972,21911578,21991938,21993970,22021399,22034615,22424626,22515816,22562380,22691938,22710225,22762917,22958015,23154099,23195020,23256034,23420386,24011884,24224240,24230067,24240177,24418319,24568579,24783106,24800495,25091980,25219999,25279399,25330293,25910951,26355820,26392764,26441538,26706047,27073714,27074856,27172391,27252270,27348567,27549618,27594226,27675154,27833404,27834024,27968739,28399186,28410999,28447545,28581319,28600786,28707052,29008067,29069088,29734179,29760594,29837615,29998167,30023407,30110376,30142138,30261939,30344048,30348514,30459213,30602687,31051959,31060099,31313277,31392268,31452178,31583356,31626984,32035180,32702724,32895676,32953786,32984168,33126467,33420226,33497367,33684604,33758259,33843106,33866125,33874173,34123546,34137054,34154087,34184865,34286959,34734994,35097970,35232567,35580357,35623138,35805138,36028570,36048754,36185495,36463856,36826066,37081132,37107189,37559859,37645719,37986215,38180899,38236114,38318504,38442216,38838691,38884415,38930739,39280307,39406714,39954867,40028999,40229015,40433026,40495917,40635496,40639350,41021838,41341699,42117564,42455884,42602434,42835159,42836146,42922167,43108317,43234284,43247493,43348640,43353815,43355020,43422594,43910146,44175225,44184867,44348716,44371570,44772279,45119080,45131495,45274839,45583458,45609967,45689779,45692979,45714933,45799327,46300546,46522546,46661298,46819279,46834876,47120240,47743180,47774679,47997239,48207226,48209425,48274818,48368386,48520419,48767220,48892339,48932914,48933879,48981370,49130914,49621420,49807144,49814159,49999474,50006067,50433586,50552434,50758965,50759345,50819596,51009772,51175967,51238167,51301474,51319425,51322856,51498220,51746495,51829365,52018368,52024578,52026024,52628019,53010270,53245884,53496815,53511148,53528387,53635138,53686167,53893138,54136319,54142896,54157794,54335319,54540167,54623020,54740720,55144599,55284656,56033037,56172826,56340154,56460079,56514867,56522179,56544288,57077079,57291816,57738213,57851310,58078066,58277859,58520664,58529277,58632652,58727938,58777644,59059570,59545704,59615528,59978572,60058391,60108567,60130301,60818674,60860620,60910758,60911214,61233224,61517827,61532439,61583310,61681186,61701625,61708064,61797864,62042578,62084067,62095794,62195238,62269594,62320119,62455159,62477367,62591495,62728780,62760767,62785319,63026979,63097651,63612324,63651367,63746668,63814159,64174834,64196178,64266034,64453293,64483354,64590819,64623727,64733495,64912739,65160815,65427610,65547624,65688864,65835747,65862559,65899276,65955148,66440615,66460780,66619751,66635299,66764067,66866495,66922258,66988917,67067469,67381539,67717027,67879749,68135746,68151219,68232911,68323714,68426839,68505465,68547154,68565154,68566415,68841879,68887377,68950819,69421572,69423634,69522597,69683379,70080067,70187020,70239848,70808959,70871484,71105495,71136104,71237308,71357667,71358719,71427820,71718359,72026479,72047980,72353836,72424786,72513350,72665938,73032744,73072496,73287820,73613507,73622067,73741077,73838716,73865827,73898947,73899972,74041950,74134279,74227738,74860367,74970339,74982056,75109794,75274536,75561967,75726815,76087959,76388639,76654156,77129794,77186098,77348067,77474764,77680194,78192978,78410626,78501045,78513132,78585287,78737026,78978080,79019829,79088698,79103039,79232626,79408419,79728738,79752936,79842225,80028117,80239794,80299999,80731171,80745970,80809225,81377367,81425685,81545495,81554125,81783919,81815351,82161837,82206558,82279698,82672786,82693967,83323186,83503138,83537267,83734448,83751139,83760099,83903667,83961599,84224424,84241459,84320767,84321916,84354813,84683853,84845687,85165040,85248815,85326594,85690167,85713384,85900430,86045667,86146088,86223045,86457576,86626828,86754867,86854064,86883820,86896419,86937676,86967159,87016020,87129346,87215779,87233711,87293615,87348226,87491554,87882610,87945384,88109015,88115980,88489065,88657719,88698047,88850340,89045026,89124172,89460968,89652839,89722053,89735495,90021945,90141215,90643186,90872178,90935506,90959667,91098339,91163506,91203772,91208338,91216639,91245619,91808620,91971248,92135319,92319610,92342067,92402914,92589436,92817088,92820754,93235479,93252367,93372567,93453625,93851619,94071225,94089370,94124674,94193079,94201254,94205831,94209106,94221640,94358899,94361927,94388336,94644167,94752477,94773696,94866467,95344876,95417367,95547826,95620659,95783495,95810670,95891379,95978668,96023408,96402316,96427557,96738610,96895164,96914349,96971070,97093891,97148865,97225187,97264773,97306359,97336780,97502146,97641699,97710822,97854594,97864950,97950220,98227891,98501170,98938557,99176620,99224488,99764339,99897071,99906099,99980517,99986236,...,52052173986465520350959309603266261653315676538475864141500581015322189292471132935788141857186427504838895260517941812360280855057588613161267851451229160125598251271966041552502048304162325355985346948905267622735443084365976359835340566104837322267424540333664251943432873796342276496035799158299323583446167153757985847187997908023939909081363123265314048301855614421618583036181446211790407418085566450754840306563616998477750826767296095086253834107961177070310185034330931738154948867804554979601929846078772183789179803945850904161238344433416999175857908516910432305866872048512144329315770255599526144500190178791513736209385621535182790388198517403005564985600591851322046639732222004974401941803720321258222486880641003951261612629414079255409338198448477734648424288811186676675328156876324950859606759547220518281675677679078445269152766271002178433961746901308583114581859369440596515986514500293495317026158119288911819592022161222425033471810500359922651211456420271449541413501601755773576161533538915677759526340362238204082614029709405449760198465902584955350529398870492058217071108567546608733851944623394233330328377070730364102017946950689158582664905698301755624935213784279811958590871296087089010817949328151656130882744670324678597116251859280433655134381666609942272126354354508983916140422171236035266736090738795975445188909523631361213088531416597607882383648313272907348570444785589915002862481123960127225177281826195055568390855748668801648691327783022693776149108384886201293873156952310959184499803225098388145187502988047314984185868575096740420457724945242136331867973872387754415900309523430227226747067937911113323030933851027180369175912496322768472961439198607062319500250803887183583874062128602367503487439105109014309692863613319080773065921445486956685175911849505034319250001851756501353630484833022366594341824156152339527902395843790965449051627190039478192675908702345833075169343122541717080572906985121127348684359657888060172654115241473582155096876726856933626138045544114680964588133702000493210359139298876825139978180438360546660077241244383963674041755800257762731226150216010073630201205921548255165127520015266590978148151694511656264224807443719247213498498977343725114248490238124074097859332108638110264824078638890269405798400405021464784236889914713451212293812850680329741903690077903901309955178603111158016165368505464939575786263921266344821895764206857636197698121023194039744126058704935413660620989209463043700555341144536408885549429458283116938050233072370791960827}
15970 19563224528929215891800178965031127136338038879462528719493350519: {175549,446852,638360,718155,748381,766032,861786,988094,1318621,1413409,1848692,1940654,2130734,2510462,2639101,2732881,2738756,2826589,2992772,3107281,3373556,3457262,3666721,3754052,3759709,4776734,5020292,5222744,5652212,5714894,5875587,6061009,6243169,6515869,6787652,6878461,7208462,7580414,7697571,7779901,7869649,8585041,8763169,9029821,9118561,9163775,9426932,9615854,9825889,9928052,9992499,10267755,10303556,10441021,10544984,10566231,10703569,10902062,10952272,10996530,11303492,11313661,11451134,11729632,11863107,12092881,12176756,12265249,12321306,12372171,12437329,12550532,12694909,12727262,13037341,13195836,13378621,13706259,14177054,14291012,14311201,14415092,14549415,14663156,14728775,14837347,14901095,15035012,15151441,15235069,15402109,15519376,15706131,16232989,16316975,16398301,16692014,17398455,17459298,17547421,17674530,17704491,17753156,17761214,17881314,17954401,18035581,18116689,18558352,18648254,18697775,18852832,18853471,19002062,19084369,19250907,19437099,19580370,19701339,19842932,20235854,20516449,20752861,20831521,20878146,20885728,21067069,21067892,21076775,21104792,21112814,21196210,21209436,21212147,21458209,21637262,21679172,21854744,22002781,22160414,22411652,22437330,22466749,22580547,22774621,22855934,23004769,23376062,23453975,23496444,23690499,23742891,23843101,23873156,23933152,24101144,24354771,24502155,24522529,24586587,24723572,24848792,25100462,25167939,25292130,25435452,25444887,25641949,26135632,26314107,26346579,26469614,26551042,26599009,26891041,26924796,26933530,26978272,27113787,27148715,27265412,27320654,27616081,27673611,27954891,27975901,28144770,28168094,28202975,28405309,28578392,28690141,28761169,28861147,28973821,28993775,29157531,29256349,29322584,29402586,29467489,29607889,30014855,30021088,30027831,30280300,30350556,30374941,30444241,30521774,30872132,31022462,31133281,31364975,31905874,32018269,32085841,32150691,32306756,32320236,32489761,32578458,32757601,32867367,32944775,32987907,32990955,33090781,33177134,33528691,33636939,33773724,33843570,34037907,34210129,34654574,34791755,34792530,34884051,35116321,35130579,35190352,35255384,35372641,35470334,35556059,35883815,35945149,36017826,36099808,36134689,36260689,36282494,36336360,36386401,36444494,36464756,36732824,37072669,37112032,37174659,37291652,37320061,37504849,37637970,37881332,37930060,38176861,38539741,38599969,38758784,39019549,39240335,39479195,39533730,39589146,39645572,39662307,39680792,39997556,40043975,40147168,40349252,40610571,40612284,40878405,41119595,41230210,41324427,41391339,41402612,41406241,41512731,41750106,41751036,41801629,42025981,42081889,42105755,42169312,42360349,42598779,42901179,43060578,43118462,43347901,43564189,43581251,43603632,43939921,44153041,44206094,44470561,44640891,44663156,44670062,44733181,44907499,45011012,45132734,45165564,45213207,45407569,45440462,45516072,45522771,45561469,45579820,45968701,46351415,46421329,46512974,46665614,46670269,46769341,46976756,47088402,47178267,47309089,47375034,47440476,47740184,47792209,47887969,47898130,48052770,48374074,48456481,48968509,49054086,49106641,49343514,49430679,49476252,49688174,49832401,49966429,50079812,50099809,50130339,50194292,50452321,50526906,50539729,50713681,50764659,50794370,50843389,51058129,51185319,51205581,51256288,51271069,51482209,51774781,51907652,51940381,52102491,52163587,52370747,52506254,52631329,52646955,52909789,53069855,53273156,53434707,53571361,53579071,53609629,53707707,53994556,54042855,54073131,54100561,54185800,54193775,54506461,54651901,54695784,54974929,55239099,55327009,55361821,55435895,55621698,55841629,55859771,55942609,56156752,56175709,56208721,56340049,56398850,56437789,56567101,56574419,56979409,57229556,57288289,57354171,57440029,57477756,57500221,57619741,57645712,57663324,57896792,57986462,58256509,58340641,58396369,58543595,58589149,58616401,58900300,58913156,58990369,59016541,59110071,59113694,59274301,59324989,59425501,59673854,59678975,59696372,59822711,59934289,60004381,60092462,60255841,60322909,60366452,60584701,60648529,60649539,60777944,60923972,60953244,60959025,61400929,61459867,61474081,61478462,61528189,61532757,61703869,61839229,62001949,62026775,62080609,62215064,62244091,62258930,62262049,62433121,62440094,62576894,62606749,62707549,62732029,62791969,62827069,62982301,62992849,63013729,63064669,63123421,63176346,63188689,63300541,63455521,63481441,63524495,63546781,63563089,63568381,63598621,63617341,63662881,63683826,63693661,63699572,63733981,63742801,63748561,63749821,63753169,63762215,63801614,63903651,63938434,64153570,64254219,64366424,64372775,64476974,64611614,64693892,64851426,65022960,65032530,65133891,65245172,65609299,65865219,66523074,66557355,66674756,66888935,67678620,68278775,68317556,68375187,68425900,68453534,68467619,68583854,69105820,69357824,69366104,69368032,69450819,69783819,69991947,70170692,70252314,70680360,70777262,70994512,71032574,71160014,71581556,71614770,72048062,72190528,72210392,72310839,72412227,72447092,72552579,72678062,73150830,73267642,73290815,73399371,73472055,73526132,73554014,73678574,73696371,74432130,74519410,74707867,74710716,74973215,74999211,75353156,75377827,75392384,75650379,75828651,75997306,76075775,76102772,76229394,76389088,76514658,76541530,76952211,76984284,77135080,77247330,77703812,77827934,78027552,78036867,78039036,78210047,78278347,78370192,78410975,78780062,78914627,79016654,79370462,79394272,79515405,79683335,79868826,80144756,80266722,80452707,80474842,80839707,81120062,81214344,81214952,81236691,81466094,81934530,82043252,82111080,82268462,82374095,82397152,82443935,82589794,82778756,82794392,82926984,83063774,83075975,83093492,83303156,83368207,84020482,84035972,84187694,84259239,84510231,84816432,85297214,85594904,85937724,86121092,86296199,86501054,86776965,86821427,87117099,87396832,87473054,87580334,87585152,87733775,87780996,87799810,87948978,88091907,88114574,88166466,88199839,88327262,88589355,88627418,88920130,89018756,89046635,89284775,89318556,89423292,89842052,89967858,90059975,90428987,90442295,90506332,90628814,90672274,90868292,90937819,91228011,91244414,91290930,91340620,91366137,91366821,91609775,91789172,91849836,92298395,92374965,92521779,92562096,92597747,92696796,92911172,93063867,93143691,93292857,93404391,93727570,94093170,94440062,94495312,94634894,95143556,95418486,95620002,95817695,96172814,96262251,96294267,96399051,96725031,96843455,97376992,97392442,97766462,98141415,98162756,98321436,98533296,98722600,98848914,98932722,99466471,99691170,99960452,...,69402898648620693801279079471021682204420902051301152188667441353762919056628177247717522476248570006451860347357255749813707806743451484215023801934972213500797668362621388736669397738883100474647129265207023496980590779154635146447120754806449763023232720444885669257910498395123035328047732211065764777928222871677314462917330544031919878775150831020418731069140819228824777381575261615720543224114088601006453742084822664637001102356394793448338445477281569427080246712441242317539931823739406639469239794771696245052239738594467872214984459244555998901143878022547243074489162731349525772421027007466034859333586905055351648279180828713577053850931356537340753314134122468429395519642962673299202589071627095010963315840854671935015483505885439007212450931264636979531232385081582235567104209168433267812809012729627357708900903572104593692203688361336237911948995868411444152775812492587462021315352667057993756034877492385215759456029548296566711295747333813230201615275227028599388551335469007698101548711385220903679368453816317605443485372945873933013597954536779940467372531827322744289428144756728811645135926164525644440437836094307152136023929267585544776886540931069007499913618379039749278121161728116118681090599104202208174510326227099571462821669145707244873512508888813256362835139139345311888187229561648047022314787651727967260251879364841814950784708555463477176511531084363876464760593047453220003816641498613502966903042434926740757854474331558402198255103710696925034865477846514935058497542603081278912666404300131184193583337317396419978914491433462320560610299926989515109157298496517005887867079364573636302329423917214817764041245134702907158901216661763691297281918931476083092667001071849578111832082838136490004649918806812019079590484817758774364087895260649275580234549132673379092333335802342001804840646444029822125789098874869786037203194458387953932068836253385970923567878269794444100225790830055622774097209313494836464912479543850746896872153655298109540129168969142578168184060725486241286117511602667324280478852398502433519970907251147395546769654992511951565389007733677016974968200288013431506934941228731006886836693353688787970864202259348875018966409924958996284664665303124966818997986984165432130479109478184147019765438185187025874397867206695286378982519886284601616391750467573772989204920103871868413273571470814877354887158007286586101048351895021793095861018942476848263597494697592052992168078273247218214161318945950724934073788192715211847399239277710822584066977429827722614436}
15971 19648878872923469439327656301733167518945609626634177284309048243: {15971,558565,670278,797950,957540,1021376,1149048,1292679,1482141,2310865,2773038,2910981,3196101,3423445,3740965,3765693,4032061,4108134,4216945,4489158,4569901,4605793,4692565,5060334,5185893,5631078,6275365,6480661,6528430,7065265,7165101,7179469,7530438,7834116,7872878,8227021,8391421,8478318,8484565,8572341,8773573,9226861,9273781,9583238,10181478,10263428,10319749,10617973,10812693,11091361,11370621,11783665,12409309,12410065,12709693,12757261,12879445,13181230,13323332,13382833,13579454,13690340,13800589,14088308,14129365,14140398,14326801,14423781,14495701,14662040,14663701,14892078,15000301,15220945,15314078,15455334,15688165,15700078,15817476,16238558,16353093,16428408,16494795,16496228,16846534,16955238,17176701,17188981,17594448,17619349,17790734,17863765,18018865,18095293,18265134,18275012,18328945,18466693,18481959,18752582,18793765,18825798,18906289,19090893,19122901,19399220,19708321,19793754,20941508,21088501,21265581,21423469,21436518,21561373,21622638,21742693,21994734,22191445,22289461,22373678,22552518,22868678,23197940,23279064,23566040,23605988,23841752,23845261,24421393,24472621,24803665,24815494,25006093,25038021,25657261,25667876,25916132,25927141,25992038,26102341,26107160,26188947,26258749,26268452,26334865,26380990,26511795,26629734,26641821,26709409,26821971,27098965,27291781,27318430,27627493,27678638,27837528,27972381,28008781,28014565,28093489,28279248,28324021,28503093,29046349,29370555,29764398,29841445,29916440,30042661,30107396,30126430,30353781,30573254,30622033,30791558,30848461,30904465,31060990,31142641,31317219,31328592,31587332,31601838,31657188,31669221,31794315,31814154,32095501,32141221,32455893,32463373,32473028,32518758,32611358,32669540,32782116,33240621,33473341,33557252,33617478,33655995,33722840,33913936,33926516,34081765,34282261,34283901,34500721,34500829,34720693,35064093,35072293,35085476,35128772,35237821,35244666,35722990,35809734,35899728,36151716,36476894,36553429,36653230,36830702,36837793,36898148,37085358,37273188,37526360,37650693,37850375,37938195,38153178,38172613,38336734,38590165,38602861,38876708,39149461,39203448,39285301,39626389,39704421,39826563,39996398,40037108,40308301,40363921,40383445,40387194,40400295,40467408,40566301,40898118,40980981,41772661,42162193,42217155,42252141,42867588,43093648,43117318,43437944,43756861,43823156,43983876,43987940,44042798,44069230,44103879,44738293,44819293,44849252,45031632,45124760,45383876,45420450,45525834,45580945,45782661,45916030,46165549,46308198,46390040,46422181,46512068,46533693,46614565,46840772,47351665,47412575,47656621,47786101,47858811,48023768,48448480,48460134,48463789,48480354,48533521,48836638,48867687,49137158,49556965,49566212,49591093,49600990,49765701,49996945,50183960,50436565,50439998,50494741,50541373,50558798,50659693,50660586,50765355,51711841,51753265,51821902,51981861,52188795,52711640,52785528,52883076,53180701,53205501,53412094,53535229,53643973,53872621,54026739,54147428,54149712,54344782,54423741,54438181,54504540,54547141,54666741,54697134,54862981,55099236,55188452,55350308,55666808,55668048,55828945,55937478,56263765,56320621,56456955,56798372,56821998,56895090,56905189,56974775,57021301,57162638,57196669,57201572,57414104,58016134,58138176,58720945,59300595,59383719,59468358,59521188,59636221,59675230,59996334,60046814,60220752,60284276,60523878,60601981,60688096,60690493,60695341,60697028,60918426,61205374,61608349,61845315,62103918,62120198,62599765,62625159,62626554,62742865,62784536,62904356,63166712,63184093,63253968,63260821,63701893,64070360,64200349,64456561,64590867,64677693,64884565,64957189,65405448,65638021,65791352,65907572,65968336,66252934,66309141,66591445,66840452,66994734,67005093,67115341,67369208,67493195,67516518,67686212,67699101,67732250,67748346,68160693,68247092,68274108,68308174,68369730,68573918,68630749,69148789,69415501,69469988,69769461,69963949,69998421,70195940,70465134,70632603,71062551,71063083,71160714,71246276,71536945,71610276,71628469,71847195,72057140,72079155,72083173,72097508,72251581,72370990,72445093,72561111,72927712,72938629,73280161,73581129,73625375,73641445,73652132,73955101,74015271,74162264,74214378,74532261,74620465,74895541,75111781,75119718,75291438,75393181,75458065,75790359,75972430,76154965,76191555,76361798,76371661,76472228,76597141,76608829,76637008,76884432,77677382,77768830,77861478,78007441,78560614,78732433,78759381,78813428,78926221,79543693,79587541,79624465,79909734,80057998,80074993,80155813,80458030,80866052,80867365,80991834,81270992,81278700,81556465,81656821,81661693,82043676,82286221,82683398,82704541,82729489,82888861,83086573,83225761,83343445,83432547,83667469,84235128,84558421,84598275,84668401,84865429,84911768,85204868,85396945,85532375,85670318,85672292,85844334,86216634,86382275,86468568,86494986,86510149,86697280,86707630,86710040,86845188,86979693,86997781,87457789,87628093,87713365,87820292,88147153,88350450,88369734,88480909,88670541,88697432,88743140,88984501,89476945,89510781,89544558,89992909,90138693,90238160,90262990,90549678,90558865,90626893,91166916,91219934,91225141,91328593,91379558,91385958,91429866,91598654,91907665,92065693,92217693,92422669,92601092,92740021,92873521,93016861,93024781,93045092,93209581,93249829,93322596,93388395,93613093,93621601,93638558,93660141,93669752,93865341,94191445,94240480,94292293,94764519,95128465,95486360,95525739,95549358,95702421,95907651,95992981,95994478,96071293,96230355,96257989,96332269,96414452,96418850,96549636,96715461,96736772,96917421,97005973,97040838,97129765,97277139,97399249,97424293,97534440,97548795,97635901,97784678,97865828,97867758,97962740,98261828,98725861,98799121,99242840,99263461,99547693,99614288,99628318,99784611,99839941,99998948,...,104104347972931040701918619206532523306631353076951728283001162030644378584942265871576283714372855009677790521035883624720561710115177226322535702902458320251196502543932083105004096608324650711970693897810535245470886168731952719670681132209674644534849080667328503886865747592684552992071598316598647166892334307515971694375995816047879818162726246530628096603711228843237166072362892423580814836171132901509680613127233996955501653534592190172507668215922354140620370068661863476309897735609109959203859692157544367578359607891701808322476688866833998351715817033820864611733744097024288658631540511199052289000380357583027472418771243070365580776397034806011129971201183702644093279464444009948803883607440642516444973761282007902523225258828158510818676396896955469296848577622373353350656313752649901719213519094441036563351355358156890538305532542004356867923493802617166229163718738881193031973029000586990634052316238577823639184044322444850066943621000719845302422912840542899082827003203511547152323067077831355519052680724476408165228059418810899520396931805169910701058797740984116434142217135093217467703889246788466660656754141460728204035893901378317165329811396603511249870427568559623917181742592174178021635898656303312261765489340649357194232503718560867310268763333219884544252708709017967832280844342472070533472181477591950890377819047262722426177062833195215764767296626545814697140889571179830005724962247920254450354563652390111136781711497337603297382655566045387552298216769772402587746313904621918368999606450196776290375005976094629968371737150193480840915449890484272663735947744775508831800619046860454453494135875822226646061867702054360738351824992645536945922878397214124639000501607774367167748124257204735006974878210218028619385727226638161546131842890973913370351823699010068638500003703513002707260969666044733188683648312304679055804791687581930898103254380078956385351817404691666150338686245083434161145813970242254697368719315776120345308230482947164310193753453713867252276091088229361929176267404000986420718278597753650279956360876721093320154482488767927348083511600515525462452300432020147260402411843096510330255040030533181956296303389023312528449614887438494426996997954687450228496980476248148195718664217276220529648157277780538811596800810042929568473779829426902424587625701360659483807380155807802619910357206222316032330737010929879151572527842532689643791528413715272395396242046388079488252117409870827321241978418926087401110682289072817771098858916566233876100466144741583921654}
15972 19734905313789993413038820290094988511490867640298019077926029552: {207467,351098,843707,893704,938867,1005417,1128971,1196925,1276720,1318787,1436310,1496762,1532064,1723572,1792067,1976188,2357627,2576867,2637242,2826818,2858171,3138827,3325571,3512027,3667187,3697384,3760187,3791171,3881308,4159557,4261468,4593947,4870571,5020924,5177171,5278202,5465762,5477512,5513507,5653178,5985544,6061787,6162201,6214562,6546971,6698171,6733737,6747112,6914524,7150571,7333442,7421147,7508104,7519418,7590501,7721027,8049971,8446617,8793971,9208427,9415067,9553468,9792645,9827171,9856547,10003307,10040584,10091267,10296227,10442387,10445488,10704971,10821467,11257187,11295657,11304424,11429788,11748827,11751174,11809317,12122018,12295571,12467627,12486338,12717477,12829285,13031738,13295171,13575304,13720571,13756922,13833707,14144171,14374857,14416924,15160828,15264971,15272217,15395142,15431987,15559802,15654227,15739298,16262747,16400507,16654165,16757747,17058971,17112925,17170082,17526338,17610385,17631347,17739971,17902667,18059642,18146171,18237122,18327550,18389027,18523667,18853864,18926387,19113707,19231708,19327307,19651778,19771845,19856104,19984998,20150171,20369181,20519267,20535510,20607112,20620285,20703227,20781947,20861533,20882042,20912987,21089968,21096107,21132462,21210597,21407138,21487187,21617147,21804124,21850571,21904544,21993060,22005827,22338117,22341227,22392707,22606984,22623971,22627322,22777787,22843765,22902268,22971117,23183001,23459264,23550117,23726214,23871707,24185762,24249025,24353512,24357837,24525971,24530498,24551027,24642612,24744342,24874658,25068901,25101064,25269801,25389818,25432857,25454524,25793627,26074682,26176885,26391672,26602787,26686101,26748971,26757242,27397701,27412518,27620027,28128873,28238697,28354108,28409387,28582024,28622402,28765307,28830184,28997425,29001587,29098830,29119427,29284067,29326312,29457550,29495171,29507485,29612171,29635547,29674694,29690631,29802190,30070024,30302882,30448667,30470138,30540971,30794147,30804218,30885971,31038752,31229171,31365947,31412262,31887587,32084845,32154777,32360171,32395165,32433957,32465978,32633950,32796602,32835565,32992101,33228467,33383027,33384028,33560517,33712907,33828777,33909971,34019171,34236971,34303017,34670171,34796910,34918596,35094842,35121587,35349060,35399267,35408982,35441867,35506312,35522428,35762628,35908802,35971667,36071162,36161171,36233378,36391907,36767387,36891971,37116704,37223241,37296508,37395550,37407971,37634245,37694747,37705664,37706942,38000267,38004124,38008201,38168738,38303987,38501814,38545667,38605907,38625971,38874198,38906027,38988057,39105107,39160740,39402227,39402678,39484165,39520571,39571485,39685864,39697547,39736787,39944601,40088507,40471708,40514867,40591285,40688171,40784171,40836925,40956467,40977645,41032898,41147147,41355971,41431667,41505722,41517957,41663042,41756292,41771456,41826971,41939267,41946565,41995307,42020797,42107171,42134138,42135784,42153550,42209584,42225628,42367067,42385571,42392420,42408145,42418872,42424294,42477971,42643787,42916418,43046387,43274524,43300571,43358344,43372907,43643027,43709488,43856845,43910965,44000387,44005562,44177867,44283971,44320828,44372171,44477747,44646597,44823304,44874660,44914547,44933498,45156971,45161094,45189645,45329171,45483467,45549242,45568907,45688187,45711868,45859881,45925571,45993107,46009538,46122685,46187337,46445627,46591485,46694507,46752124,46777067,46907950,46992888,47268227,47316947,47333171,47380998,47402757,47485782,47686202,47721231,47746312,47866304,47895971,47911907,47991467,48039107,48202288,48276227,48595885,48708457,48709542,48778137,48917037,48930587,48976787,49004310,49045058,49130267,49173174,49447144,49661147,49697584,49751171,49840907,49974971,49989827,50046385,50063987,50200924,50237341,50335878,50426217,50475587,50584260,50870904,50889774,51066971,51081227,51283898,51491171,51505187,51963227,52045571,52271264,52331507,52452971,52600547,52628214,52653971,52693158,52800227,52866999,52939228,53102084,53115971,53168147,53194187,53198018,53362667,53584485,53619227,53631971,53708267,53714601,53782082,53849592,53867060,53956544,54184787,54227574,54271307,54297430,54530824,54641308,54673907,54715341,54778945,54818147,54854027,54936469,54979845,54984925,54996827,55232162,55246053,55270873,55337171,55347222,55522067,55556507,55628037,55909782,55951802,56061565,56197187,56289540,56336188,56350571,56405950,56459171,56609867,56729845,56737787,56810618,57155867,57156784,57229767,57299171,57309347,57380282,57450971,57505101,57522338,57567433,57690107,57722294,57947642,57953627,57987550,57992171,58140085,58267787,58277171,58315062,58323971,58361267,58407707,58472387,58512698,58550965,58554971,58645168,58772027,58805172,58905347,58934978,58948057,58958171,59054267,59088971,59166587,59215778,59260571,59294507,59336747,59345171,59437307,59712169,59994597,60000947,60029710,60042176,60055662,60177587,60222971,60268067,60297971,60342587,60379547,60560600,60580791,60597107,60689147,60701112,60749882,60888482,60970571,61010627,61030547,61043548,61076747,61109507,61129067,61326971,61347177,61419971,61511171,61716971,61722707,61744264,61768307,61802171,61892701,61957765,61999307,62020571,62044924,62067947,62093987,62099171,62206187,62266562,62280467,62348171,62515067,62528507,62721467,62725571,62729950,62745971,62805971,62879387,62886947,62953547,63007067,63078971,63147347,63175571,63187907,63230233,63238907,63281987,63317867,63347171,63370427,63470387,63489971,63498467,63567347,63578171,63585227,63613787,63629507,63658547,63683171,63693827,63696107,63716171,63721907,63738947,63764747,63765587,63771707,63773387,63775667,63811748,64036538,64171682,64301382,64613512,64640472,64675977,64891981,64979522,65156916,65515202,65734734,65889550,65975814,65981910,66016093,66064197,66103845,66181562,66354268,66860677,67057382,67273878,67547448,67684285,67687140,68075814,68130675,68288751,68420258,68874045,68985565,69187885,69309148,69462297,69583510,69585060,69768102,70232642,70261158,70380704,70510768,70745282,70940668,70997965,71112118,71242501,71501965,71767630,71890298,72035652,72199616,72269378,72521378,72564988,72672720,72690201,72720531,72772802,72888988,72929512,73254957,73465648,73705737,74145338,74224064,74297797,74349318,74401485,74583304,74640122,75009698,75275940,75355345,75659997,75762664,75838197,75860120,75871285,75990879,76353722,76522633,77079482,77199938,77517568,77610253,77732853,78039098,78480670,78630445,78958390,79067460,79178292,79291144,79324614,79361584,79995112,80087950,80118141,80294336,80698504,80916277,81221142,81224568,81517173,81756810,81961033,82045701,82239190,82384465,82460420,82648854,82764121,82782678,82805224,82812482,83025462,83500212,83502072,83550565,83603258,83906217,84051962,84163778,84211510,84338624,84607765,84720698,85197558,85232997,85308865,85342635,85743957,85802358,86121156,86236924,86695802,86837485,87024201,87128378,87162502,87207264,87411229,87744925,87879842,88306082,88412188,88934293,88941122,89057845,89202537,89267101,89281782,89326312,89340124,89466362,89512845,89814998,89994501,90022024,90070221,90071425,90121885,90265468,90331128,90426414,90785817,90815138,90880924,91032144,91045542,91122938,91159640,91377639,91808061,91937402,92065165,92247661,92702830,92842658,93025948,93155877,93180297,93262741,93331228,93340538,93538682,93644509,93939831,93953512,94176804,94356534,94618178,94750068,94880952,95480368,95584418,95590285,95775938,95796260,96105540,96448693,96748148,96912962,97937018,98108172,98213282,98516785,98687028,98861358,98952504,99376348,99379401,99664802,99932858,...,156156521959396561052877928809798784959947029615427592424501743045966567877413398807364425571559282514516685781553825437080842565172765839483803554353687480376794753815898124657506144912486976067956040846715802868206329253097929079506021698314511966802273621000992755830298621389026829488107397474897970750338501461273957541563993724071819727244089369795942144905566843264855749108544338635371222254256699352264520919690850995433252480301888285258761502323883531210930555102992795214464846603413664938805789538236316551367539411837552712483715033300250997527573725550731296917600616145536432987947310766798578433500570536374541208628156864605548371164595552209016694956801775553966139919196666014923205825411160963774667460641923011853784837888242237766228014595345433203945272866433560030025984470628974852578820278641661554845027033037235335807458298813006535301885240703925749343745578108321789547959543500880485951078474357866735458776066483667275100415431501079767953634369260814348624240504805267320728484600616747033278579021086714612247842089128216349280595397707754866051588196611476174651213325702639826201555833870182699990985131212191092306053840852067475747994717094905266874805641352839435875772613888261267032453847984454968392648234010974035791348755577841300965403144999829826816379063063526951748421266513708105800208272216387926335566728570894083639265594249792823647150944939818722045711334356769745008587443371880381675531845478585166705172567246006404946073983349068081328447325154658603881619470856932877553499409675295164435562508964141944952557605725290221261373174835726408995603921617163263247700928570290681680241203813733339969092801553081541107527737488968305418884317595821186958500752411661550751622186385807102510462317315327042929078590839957242319197764336460870055527735548515102957750005555269504060891454499067099783025472468457018583707187531372896347154881570118434578027726107037499225508029367625151241718720955363382046053078973664180517962345724420746465290630180570800878414136632344042893764401106001479631077417896630475419934541315081639980231723733151891022125267400773288193678450648030220890603617764644765495382560045799772934444455083534968792674422331157741640495496932031175342745470714372222293577996325914330794472235916670808217395201215064394352710669744140353636881438552040989225711070233711703929865535809333474048496105516394818727358791763799034465687292620572908593094363069582119232378176114806240981862967628389131101666023433609226656648288374849350814150699217112375882481}
15973 19821305455352514638579194664728270734741466487342456356535693859: {15973,31942,526647,781991,1117130,1340556,1595900,1915080,2042752,2154465,2245143,2298096,2470235,2585358,2964282,3235211,3955863,4240227,4621730,4765163,4792823,4851635,5147651,5237351,5326835,5546076,5821962,5903723,6276155,6392202,6569591,6846890,7481930,7529687,7531386,7658963,7917303,8064122,8198643,8216268,8433890,8479767,8484827,8643155,8785511,8978316,9139802,9211586,9321843,9378647,9385130,9722843,9891371,10013051,10120668,10371786,10669571,10959923,11000163,11262156,11279127,11350247,11632403,11878391,11941835,12196067,12396227,12550730,12758867,12961322,13056860,13541963,14130530,14204951,14287235,14305787,14330202,14358938,14665547,15060876,15076763,15668232,15732023,15745756,16012307,16309787,16454042,16497131,16782842,16956636,16969130,17068211,17131283,17144682,17374091,17547146,17626761,17968247,18021155,18031223,18097571,18183027,18453722,18547562,18729507,18951035,19166476,19547607,19781111,19828547,20210171,20224151,20362956,20526856,20635383,20639498,20822867,21235946,21309323,21322811,21625386,21963431,22026947,22182722,22292267,22741242,23092713,23339703,23567330,23608947,24039635,24193367,24818618,24820130,25009271,25226411,25419386,25514522,25660523,25755123,25758890,26105627,26151491,26289507,26311271,26362460,26646664,26657483,26765666,27089463,27158908,27255155,27355683,27380680,27491325,27601178,27630971,28012307,28176616,28180763,28258730,28280796,28627835,28653602,28847562,28991402,29324080,29327402,29375063,29477667,29784156,29977497,30000602,30030971,30441890,30628156,30803265,30849011,30910668,31033067,31068023,31323063,31376330,31400156,31634952,31698693,31818155,32110707,32253923,32477116,32706186,32856816,32989590,32992456,33473843,33693068,33910476,33940983,34353402,34377962,34659491,34725131,35188896,35238698,35442635,35504963,35581468,35589321,35727530,36037730,36183683,36190586,36278643,36530268,36550024,36657890,36795747,36868811,36933386,36963918,37116513,37311987,37375571,37505164,37587530,37651596,37812578,37938551,38084727,38181786,38245802,38607767,38798440,39112023,39220391,39383447,39416642,39559403,39587508,39631427,40135863,40773707,40805207,41118777,41171651,41730035,41778023,41883016,42177002,42531162,42846938,42873036,42933603,43122746,43199507,43245276,43266251,43485386,43648245,43989468,44186325,44382890,44403035,44512041,44578922,44703285,44747356,45105036,45338807,45454323,45621563,45705207,45737356,46206327,46218983,46395880,46428083,46558128,46620635,46831187,47118393,47122451,47132080,47211976,47465987,47505155,47637083,47683504,47690522,47714471,48417527,48698967,48808727,48842786,48904727,48945242,48950925,49194903,49607330,49630988,49939991,50012186,50076042,50092151,50589635,51272147,51314522,51335752,51832264,51854282,51984076,52195365,52204682,52214320,52377894,52517498,52536904,52642263,52669730,52761980,52782035,52990525,53023590,53113473,53259468,53283642,53418818,53643942,53863203,53879507,54026231,54093155,54106743,54197930,54243347,54350067,54583562,54636860,55254986,55357276,55401035,55675056,55944762,56017562,56029130,56093325,56186978,56474483,56536823,56558496,56560413,56648042,57006186,57139835,57253107,57275387,57752721,57795587,58092698,58254011,58311297,58440155,58741110,59104017,59185463,59528796,59643803,59675603,59682890,59832880,60085322,60214792,60252860,60707562,61146508,61225211,61244066,61549347,61583116,61696922,61808930,62121980,62258583,62285282,62494563,62634438,62657184,62751155,63174664,63201207,63203676,63230325,63268907,63314376,63338442,63588630,63628308,63636441,63667643,63813323,64191002,64282442,64374627,64464803,64911786,64926746,64946056,64965527,65037516,65222716,65260391,65339080,65564232,66008343,66155963,66174035,66292331,66377605,66481242,66652247,66946682,67114504,67234956,67251587,67311990,67333825,67400247,67445680,67741641,67827872,67830551,67853032,68095127,68163530,68301635,68323863,68564522,68567802,69001442,69001658,69014307,69379751,69441386,69995723,70128186,70144586,70170952,70257544,70361925,70420235,70475642,70489332,70611191,70712987,71071497,71228673,71445980,71529303,71619468,71620523,71799456,71878211,71970371,72303432,72454571,72801623,72809867,72953788,73064313,73106858,73306460,73506465,73567587,73661404,73675586,73759761,73796296,73832411,73917671,74170716,74286491,74546376,75052720,75301386,75503817,75700750,75876390,76304435,76306356,76334661,76345226,76381367,76599143,76673468,76767587,76854803,76925847,77180330,77205722,77556155,77753416,78160523,78298922,78406896,78570602,78769271,78942321,79039737,79252778,79408842,79653126,79764685,79797027,79992796,80074216,80616602,80663783,80673123,80727842,80751767,80766890,80774388,80800590,80934816,81030491,81109067,81132602,81243971,81341361,81346043,81446145,81672131,81796236,81961962,82209323,82684667,82848243,82942835,83020833,83236403,83545322,83864673,83927703,84262967,84324386,84434310,84504282,84608925,84651827,85215927,85735176,85903067,86070423,86187296,86234636,86283507,86300183,86345003,86583441,86636435,86875888,86921463,86981325,87033731,87184787,87401483,87472593,87513722,87639671,87646312,87769047,87840011,87967752,87975880,87991703,88085596,88138460,88207758,88402467,88434971,88675835,88751207,88820567,88823667,89476586,89481251,89638586,89698504,90044565,90063264,90083493,90249520,90520691,90537707,90706235,90767752,90838391,90840900,91051668,91111235,91124823,91161890,91268951,91332723,91565322,91832060,92331098,92434487,92596331,92616396,92780080,92844362,93017027,93024136,93067386,93228023,93229130,93276443,93399843,93681544,94058003,94094925,94226267,94316771,94382807,94490473,94703330,94825150,95126963,95313242,95572202,95717622,95835203,96047536,96054807,96257523,96270227,96452073,96670871,96896960,96920268,96927578,96960708,97067042,97469283,97673276,97727207,97735374,97959563,98272803,98274316,98602101,98811803,98834325,98963721,98972865,99113930,99132424,99182186,99201980,99272343,99327947,99531402,99993890,...,208208695945862081403837238413065046613262706153903456566002324061288757169884531743152567428745710019355581042071767249441123420230354452645071405804916640502393005087864166210008193216649301423941387795621070490941772337463905439341362264419349289069698161334657007773731495185369105984143196633197294333784668615031943388751991632095759636325452493061256193207422457686474332144725784847161629672342265803019361226254467993911003307069184380345015336431844708281240740137323726952619795471218219918407719384315088735156719215783403616644953377733667996703431634067641729223467488194048577317263081022398104578000760715166054944837542486140731161552794069612022259942402367405288186558928888019897607767214881285032889947522564015805046450517656317021637352793793910938593697155244746706701312627505299803438427038188882073126702710716313781076611065084008713735846987605234332458327437477762386063946058001173981268104632477155647278368088644889700133887242001439690604845825681085798165654006407023094304646134155662711038105361448952816330456118837621799040793863610339821402117595481968232868284434270186434935407778493576933321313508282921456408071787802756634330659622793207022499740855137119247834363485184348356043271797312606624523530978681298714388465007437121734620537526666439769088505417418035935664561688684944141066944362955183901780755638094525444852354125666390431529534593253091629394281779142359660011449924495840508900709127304780222273563422994675206594765311132090775104596433539544805175492627809243836737999212900393552580750011952189259936743474300386961681830899780968545327471895489551017663601238093720908906988271751644453292123735404108721476703649985291073891845756794428249278001003215548734335496248514409470013949756420436057238771454453276323092263685781947826740703647398020137277000007407026005414521939332089466377367296624609358111609583375163861796206508760157912770703634809383332300677372490166868322291627940484509394737438631552240690616460965894328620387506907427734504552182176458723858352534808001972841436557195507300559912721753442186640308964977535854696167023201031050924904600864040294520804823686193020660510080061066363912592606778046625056899229774876988853993995909374900456993960952496296391437328434552441059296314555561077623193601620085859136947559658853804849175251402721318967614760311615605239820714412444632064661474021859758303145055685065379287583056827430544790792484092776158976504234819741654642483956837852174802221364578145635542197717833132467752200932289483167843308}
15974 19908080908293553402673775721043614460492829489729146147438651593: {47913,414934,589669,702196,970693,1065769,1160773,1540069,1675695,1687414,1787408,1877734,1994875,2010834,2257942,2389273,2393850,2483269,2553440,2637574,2872620,2993524,3064128,3447144,3584134,3791653,3878037,3952376,4446423,4715254,4809769,4901893,5153734,5177833,5274484,5653636,5716342,5727769,5819173,6277654,6651142,6729253,6932595,7024054,7181593,7334374,7394768,7520374,7582342,7762616,8080873,8319114,8438569,8522936,8732943,9187894,9239173,9416293,9588303,9741142,9857833,10041848,10121893,10270335,10354342,10556404,10931524,10955024,11027014,11171653,11222895,11297079,11306356,11519269,11952169,11971088,12096183,12123574,12324402,12429124,12650835,12898213,13093942,13325353,13396342,13467474,13494224,13709703,13817379,13829048,14077695,14301142,14666884,14842294,14848153,15016208,15038836,15181002,15442054,15557679,15684073,16099942,16182169,16321075,16677673,16893234,17088613,17587942,17960999,18229669,18416854,18826095,18830134,18955753,19106936,19356613,19441983,19585290,19654342,19682195,19713094,20006614,20081168,20152933,20182534,20592454,20706073,20884774,20890976,21195795,21333913,21409942,21495303,21538407,21642934,22267033,22514374,22575769,22591314,22608848,22859576,23315831,23342569,23497654,23502348,23618634,23958095,24177733,24244036,24554473,24591142,24654539,24681063,24929413,24935254,24972676,25174263,25228069,25434954,25453695,25525573,25658570,25717023,25895833,26063476,26320719,26337769,26590342,27150608,27441142,27513844,27667414,27680583,27821343,28079593,28288342,28579813,28749714,28833848,28868399,29626883,29639833,30321656,30529942,30544434,30790284,30863974,30890473,30959247,31119604,31233733,31302169,31308454,31370533,31478596,31853919,31914853,31981271,31982569,32320069,32387353,32438079,32525494,32801014,32953075,32989669,33274083,33308330,33515494,33948635,34111863,34117942,34225850,34307269,34340164,34696933,35052676,35220770,35262694,35276569,35350995,35479942,35596069,35659753,35805334,35913769,36119284,36292342,36474244,36647639,36655100,36778054,36793753,36856069,36918313,37047334,37227927,37230195,37707728,37852774,38129079,38227414,38271783,38285195,38463416,38631913,38638335,38654614,38931973,39250195,39303556,39543690,39585769,39712208,39969996,40114213,40148499,40300342,40596395,40738362,41038534,41039269,41071020,41214224,41240570,41310479,41381413,41401767,41406454,41551513,41563894,41723066,41764084,41825974,42116335,42179936,42192214,42264924,42388095,42392293,42421194,42503173,42668953,42814276,42974374,42980403,43053253,43234294,43271269,43271343,43325593,43487103,43608248,43701142,43809088,43811269,43986120,43991103,44011654,44025253,44396953,44476835,44676234,44682454,44785414,44817433,44918783,45000903,45181573,45213968,45247942,45254644,45353231,45388069,45555574,45662835,45687530,45695653,45804536,45942234,45969791,46366002,46881455,46900069,46918528,47064495,47100234,47341033,47452428,47631769,47743414,47919913,48063013,48300073,48371524,48498050,48707024,48715674,48768793,49051942,49059279,49060996,49092613,49102054,49285224,49484385,49488684,49684633,49749316,49774633,49998373,50137802,50176069,50202128,50539602,50615269,50779636,50865714,50909048,51090073,51260569,51514153,51530103,51566943,51587254,51681769,52149364,52259353,52353770,52462213,52687943,52703269,52743193,52783344,52858047,53138473,53205574,53372202,53497942,53514484,53591295,53641573,53717893,54020293,54056595,54281113,54285879,54792169,54795402,54825036,54986835,55240054,55277831,55400079,55445877,55497769,55532293,55873807,55934195,56257746,56381295,56477394,56695273,56708216,56718867,56818774,56822569,56827799,57135769,57164048,57171695,57244804,57272679,57320233,57368703,57530614,57660368,57711013,57994850,58003174,58197660,58238854,58288453,58344613,58566373,58568134,58652624,58725191,58915100,58990342,59014970,59124963,59224342,59271094,59349388,59356933,59371403,59381262,59604380,59871769,60013033,60105769,60128773,60140048,60197353,60465193,60605764,60868069,60897334,60940276,61081942,61089433,61148293,61187173,61358569,61399583,61475351,61588294,61608436,61735813,61771942,61787113,61804069,61969669,62038735,62077504,62112553,62219653,62366533,62437273,62458342,62478853,62546713,62573353,62625769,62731894,62739493,62751769,62824524,63193093,63229669,63238633,63265503,63316069,63364453,63387673,63439333,63460393,63561769,63658213,63698533,63702169,63731653,63737413,63775174,63779173,63791593,63796743,64169690,64270407,64309554,64571759,64684119,64720342,64790330,64867914,64931956,64980095,65228079,65267900,65593204,65671130,65952475,65984202,66456934,66574335,66766054,66768056,66868383,67121034,67425814,67657554,67819942,68034239,68038342,68296075,68473942,68484823,68606034,69196595,69340342,69593820,69837192,70064939,70189684,70243174,70568927,70698120,70798534,70817964,70883734,71012624,71044856,71525256,71535783,71817604,71943334,72142324,72322342,72466756,72783814,73264179,73417863,73534774,73783942,74233408,74410995,74446482,74593016,74726639,74791100,74815942,75018279,75114063,75268490,75316075,75389494,75411328,75413884,76000534,76008248,76016402,76337476,76433135,76607974,76690523,76971783,76978895,77003628,77091334,77211814,77251942,77652475,77748396,77781423,77812054,77976114,78019019,78210214,78229699,78307023,78321480,78486191,78566841,78776247,78804454,78805356,78968330,79004595,79041142,79142970,79371728,79395094,79421783,79473574,79535385,79889202,79925463,80128227,80177014,80465913,80943416,81029734,81182570,81296895,81376342,81396119,81528395,81568342,81673850,81875343,81912934,81955290,81971351,82065796,82294294,82711942,82863334,82882479,83011444,83035914,83326084,83512584,83542912,83653942,83878534,83893130,83917143,83990614,84026343,84041594,84043695,84195683,84214342,84268276,84271568,84280467,84307100,84419168,84451256,84734134,84771142,84784840,84816290,84837744,84848588,84955942,84972063,85287574,85509279,85832836,86092774,86549048,86601142,86716688,86740871,86745814,87139047,87286054,87418976,87713690,87821930,88000774,88011124,88111665,88355734,88567942,88641656,88744342,88955494,89293194,89307475,89524335,89646608,89749320,89829094,89866996,90127983,90313942,90322188,90379290,90435839,90658342,90966934,91061343,91098484,91137814,91192235,91376374,91423736,91633075,91719762,91851142,91866099,91986214,92019076,92076755,92245370,92374674,92545383,92713395,92891254,93182970,93389014,93427923,93504248,93554134,93815900,93951657,93985776,94536454,94633894,94666342,94757999,94761996,94805514,94971564,95007663,95372404,95382945,95442462,95492624,95732608,95791942,95823814,95841835,95982934,96078214,96286503,96404576,96423663,96552454,96579791,96863039,97191770,97367679,97390119,97416914,97419084,97556274,97694903,97812143,97834074,97861174,97953574,98008620,98090116,98260534,98346348,98894288,99322294,99395168,99397151,99502342,99681814,99721863,99949942,99979654,99990995,...,312313043918793122105755857619597569919894059230855184849003486091933135754826797614728851143118565029033371563107650874161685130345531678967607108707374960753589507631796249315012289824973952135912081693431605736412658506195858159012043396629023933604547242001985511660597242778053658976214794949795941500677002922547915083127987448143639454488178739591884289811133686529711498217088677270742444508513398704529041839381701990866504960603776570517523004647767062421861110205985590428929693206827329877611579076472633102735078823675105424967430066600501995055147451101462593835201232291072865975894621533597156867001141072749082417256313729211096742329191104418033389913603551107932279838393332029846411650822321927549334921283846023707569675776484475532456029190690866407890545732867120060051968941257949705157640557283323109690054066074470671614916597626013070603770481407851498687491156216643579095919087001760971902156948715733470917552132967334550200830863002159535907268738521628697248481009610534641456969201233494066557158042173429224495684178256432698561190795415509732103176393222952349302426651405279652403111667740365399981970262424382184612107681704134951495989434189810533749611282705678871751545227776522534064907695968909936785296468021948071582697511155682601930806289999659653632758126127053903496842533027416211600416544432775852671133457141788167278531188499585647294301889879637444091422668713539490017174886743760763351063690957170333410345134492012809892147966698136162656894650309317207763238941713865755106998819350590328871125017928283889905115211450580442522746349671452817991207843234326526495401857140581363360482407627466679938185603106163082215055474977936610837768635191642373917001504823323101503244372771614205020924634630654085858157181679914484638395528672921740111055471097030205915500011110539008121782908998134199566050944936914037167414375062745792694309763140236869156055452214074998451016058735250302483437441910726764092106157947328361035924691448841492930581260361141601756828273264688085787528802212002959262154835793260950839869082630163279960463447466303782044250534801546576387356901296060441781207235529289530990765120091599545868888910167069937585348844662315483280990993864062350685490941428744444587155992651828661588944471833341616434790402430128788705421339488280707273762877104081978451422140467423407859731071618666948096992211032789637454717583527598068931374585241145817186188726139164238464756352229612481963725935256778262203332046867218453313296576749698701628301398434224751764962}
15975 19995233290183525662048275708592101097129180504792334110170038616: {31946,63884,622401,877745,1053294,1563982,2234260,2531121,2681112,2816601,3016251,3191800,3386913,3458329,3590775,3741905,3830160,3956361,4085504,4308930,4490286,4596192,4940470,5170716,5376201,5753257,5928564,6470422,6593105,6792289,7067045,7072881,7181273,7457569,7730601,7911726,8480454,8574513,8786617,8898721,9243460,9416481,9530326,9585646,9703270,9976713,10295302,10474702,10536081,10620641,10653670,11001561,11092152,11191057,11280561,11373513,11643924,11807446,12100417,12478671,12552310,12609493,12784404,13000921,13139182,13195505,13664405,13693780,13781841,14132945,14499353,14611713,14963860,15059374,15062772,15078661,15292393,15317926,15531513,15536405,15834606,16128244,16397286,16432536,16540521,16718569,16867780,16959534,16969654,17286310,17571022,17956632,18185361,18245329,18279604,18333605,18423172,18486603,18643686,18757294,18770260,18798545,19175609,19445686,19640913,19782742,20002129,20026102,20094513,20201211,20226697,20241336,20743572,21196033,21235201,21339142,21451713,21768469,21919846,22000326,22263441,22524312,22558254,22700494,22771503,23163081,23264806,23756782,23831377,23883670,24149913,24392134,24792454,25101460,25229617,25339851,25517734,25922644,25933673,26113720,26381913,26531449,27083926,27182657,27625281,28245201,28261060,28409902,28574470,28592161,28611574,28660404,28717876,29019089,29228137,29331094,29377935,29378761,29481513,29569641,30009921,30050273,30121752,30153526,30273801,30305045,30614249,30888681,31215845,31327161,31336464,31464046,31491512,32024614,32114913,32464401,32579345,32619574,32908084,32976529,32994262,33139073,33565684,33655489,33771561,33886971,33913272,33938260,34136422,34167089,34262566,34289364,34392305,34509413,34748182,35081129,35094292,35246481,35253522,35427951,35834389,35936494,36042310,36062446,36195142,36366054,36886713,36907444,37095124,37402881,37459014,37902070,38152431,38157217,38332952,38487855,38899505,39095214,39295289,39348245,39562222,39657094,39885513,40044197,40078969,40318553,40420342,40448302,40725912,41053712,41161713,41270766,41278996,41501121,41645734,41772697,42432513,42471892,42618646,42645622,42925205,43124571,43250772,43815845,43926862,44053894,44365444,44545417,44584534,44830649,45149105,45482484,45592805,45627361,45794913,45816651,45818875,46185426,46295961,46355857,46679406,46837141,46962681,47134660,47217894,48079270,48386734,48476153,48788241,49129445,49201521,49619689,49637236,49640260,49781401,49962495,50018542,50273241,50452822,50507633,50838772,51029044,51176913,51195449,51321046,51338775,51510246,51517780,52205105,52211254,52302982,52579014,52622542,52724920,52783589,52831155,52894041,53219913,53293328,53314966,53517845,53531332,53708001,54156881,54178926,54317816,54438513,54510310,54561089,54711366,54761360,54982650,55167081,55202356,55261942,55571001,56024614,56353232,56361526,56517460,56561592,56568305,56779161,57255670,57307204,57341121,57683041,57695124,57981921,57982804,58422049,58648160,58654804,58750126,58955334,59315535,59568312,59954994,60001204,60061942,60450513,60464405,60705929,60883780,61107543,61256312,61326245,61557801,61606530,61698022,61821336,61860855,62066134,62109681,62136046,62164249,62186645,62271529,62345841,62584599,62646126,62738961,62752660,62800312,62809157,63269904,63288321,63397386,63474545,63631791,63636310,63675781,64221414,64461561,64507846,64851441,64937441,64954232,65186705,65268889,65412372,65551713,65642753,65713632,65979180,65984912,66017481,66507217,66660721,66893105,66947686,67014351,67023681,67178121,67386136,67820952,67871913,67881966,68258837,68333361,68428177,68531295,68706804,68755924,68913351,69238073,69318982,69450262,69549003,70377792,70477396,70650351,70825489,70885270,71009926,71162936,71178642,71455060,71556005,71615121,72075460,72367366,72381172,72557286,72747075,73060536,73073511,73100048,73315780,73577913,73591494,73643875,73653081,73737622,73866772,73894849,73927836,74162401,74186735,74233026,74505475,74623974,74751142,75010328,75175060,75206703,75303192,75625156,75730417,75757205,75809403,75877102,76169454,76175345,76298571,76363572,76491604,76777441,76835329,77010545,77215534,77380881,77561449,77596880,78224046,78440782,78530655,78766894,78833284,79118806,79133141,79175016,79262854,79608089,79808361,79995769,80058303,80246913,80271726,81164945,81547414,81584875,81610414,81816217,81846497,81991505,82193103,82237554,82343302,82518577,82725689,82860081,83460070,83556046,83569673,83766032,84289349,84354004,84386619,84716091,84877913,85055893,85062324,85228161,85545713,85693876,85746072,85867206,86245492,86295921,86399014,86490552,86532502,86970772,86992275,87004761,87296490,87358281,87737105,87851617,87852201,87978936,88201969,88372650,88485513,88503833,88522455,88731749,88765780,88806070,88836513,88906641,89024082,89071893,89157844,89406570,89494712,89772005,89974037,90177905,90210072,90583445,90677614,90908646,91243126,91251241,91280617,91346001,91410414,91474712,91622913,92382441,92412654,92437966,92643649,92657913,92791760,92856166,92928647,93028921,93116256,93241270,93488875,93589189,93662374,93687513,94097841,94236786,94244902,94264160,94267355,94423952,94680101,94931974,95010310,95274166,95367008,95378393,95381044,95421845,95428942,95622289,95662761,96254535,96464331,96835054,97030721,97080513,97185495,97262129,97301871,97397934,97617454,97685572,97809454,97890484,97901850,98389806,98506695,98588329,98713897,98976303,99214660,99261976,99289289,99685401,99802217,99879982,...,468469565878189683158633786429396354879841088846282777273505229137899703632240196422093276714677847543550057344661476311242527695518297518451410663061062441130384261447694373972518434737460928203868122540147408604618987759293787238518065094943535900406820863002978267490895864167080488464322192424693912251015504383821872624691981172215459181732268109387826434716700529794567247325633015906113666762770098056793562759072552986299757440905664855776284506971650593632791665308978385643394539810240994816417368614708949654102618235512658137451145099900752992582721176652193890752801848436609298963841932300395735300501711609123623625884470593816645113493786656627050084870405326661898419757589998044769617476233482891324002381925769035561354513664726713298684043786036299611835818599300680090077953411886924557736460835924984664535081099111706007422374896439019605905655722111777248031236734324965368643878630502641457853235423073600206376328199451001825301246294503239303860903107782443045872721514415801962185453801850241099835737063260143836743526267384649047841786193123264598154764589834428523953639977107919478604667501610548099972955393636573276918161522556202427243984151284715800624416924058518307627317841664783801097361543953364905177944702032922107374046266733523902896209434999489480449137189190580855245263799541124317400624816649163779006700185712682250917796782749378470941452834819456166137134003070309235025762330115641145026595536435755500115517701738019214838221950047204243985341975463975811644858412570798632660498229025885493306687526892425834857672817175870663784119524507179226986811764851489789743102785710872045040723611441200019907278404659244623322583212466904916256652952787463560875502257234984652254866559157421307531386951945981128787235772519871726957593293009382610166583206645545308873250016665808512182674363497201299349076417405371055751121562594118689041464644710355303734083178321112497676524088102875453725156162866090146138159236920992541553887037173262239395871890541712402635242409897032128681293203318004438893232253689891426259803623945244919940695171199455673066375802202319864581035351944090662671810853293934296486147680137399318803333365250604906378023266993473224921486490796093526028236412143116666880733988977742992383416707750012424652185603645193183058132009232421060910644315656122967677133210701135111789596607428000422145488316549184456182076375291397103397061877861718725779283089208746357697134528344418722945588902885167393304998070300827679969944865124548052442452097651337127647443}
15976 20082764225509967767038129374877900634910247320635555767046190506: {47919,79855,95826,271303,829868,843919,1179338,1404392,1413943,1579941,1941386,2131538,2321546,2345973,2640103,2733919,2792825,2827663,3080138,3351390,3374828,3574816,3575023,3755468,3761143,3989750,4021668,4515884,4595119,4778546,4787700,4966538,5106880,5275148,5423263,5745240,5987048,6128256,6463395,6735429,6894288,6971623,7168268,7410705,7423063,7583306,7756074,7782919,7872703,7904752,8677519,8892846,9122119,9210823,9430508,9476503,9619538,9705633,9803786,9917863,10307468,10355666,10357423,10548968,11307272,11318119,11432684,11455538,11554325,11638346,11867589,12528223,12555308,12699943,12720681,13302284,13458506,13865190,14048108,14295489,14363186,14378469,14554905,14668748,14789536,15040748,15164684,15241183,15442953,15525232,15712053,15980505,16161746,16322263,16487503,16638228,16877138,17045872,17117225,17227519,17465886,17636119,17711169,17961703,18042919,18124063,18375788,18478346,18528703,18704825,18770623,18828465,18832586,19172383,19176606,19332583,19482284,19708773,19715666,20083696,20160305,20243786,20540670,20708684,20761423,20840119,20918743,21084725,21112808,21545143,21863048,21910048,22054028,22343306,22398919,22445790,22589061,22594158,22612712,22849505,22976889,23028965,23038538,23090983,23462825,23751909,23904338,23942176,24192366,24247148,24595929,24648804,24683119,24858248,25301670,25439301,25454481,25796426,25800919,25929465,26187884,26356533,26610343,26650706,26792684,26934948,26988448,27419406,27555073,27634758,27658096,27700063,27965529,28135941,28155390,28602284,28702519,28773583,29127823,29168529,29333768,29674113,29684588,29696306,30032416,30039153,30077672,30362004,30457519,30884108,31078303,31115358,31368146,31376825,31420663,32008713,32099983,32199884,32364338,32403305,32571223,32642150,32782409,32838919,32879769,33000489,33355346,33437023,33541333,33786468,33837381,34050741,34177226,34550863,34874503,34897209,35013589,35175884,35326325,35452519,35635173,35825505,35897345,35921998,36459338,36588201,36778543,36833708,37188681,37652190,37660268,37911506,38194423,38213872,38276601,38315743,38617783,38713226,38883966,39156919,39170580,39308684,39364390,39426188,39749119,40013228,40162336,40305866,40365068,40566103,40625889,41135105,41184908,41412146,41769548,41781952,41957105,42045919,42101863,42391590,42422825,42614853,42667826,42819884,42822583,42861705,42917361,42990606,43076814,43205623,43285868,43867865,43996641,44014543,44534066,45028748,45151538,45182628,45217696,45230289,45719152,46092463,46134305,46368905,46544119,46631662,46685138,46792519,46995308,47004696,47196069,47237268,47528089,47816143,47916190,47959783,48036921,48292423,48355466,48480919,48488072,48527863,48929361,49108946,49182284,49309078,49362126,49491393,49858826,49870508,49902703,49945352,50348526,50456138,50869908,50907390,50912863,51051146,51204633,51317140,51340183,51393849,51434046,51593119,51598745,51791666,52122273,52126952,52214119,52641438,52675538,52880283,53016919,53089865,53180684,53213119,53599273,53638423,53752903,53904741,54063465,54093669,54204343,54292713,54301216,54389383,54549081,54717919,54882284,54897919,54950273,55027688,55111543,55334828,55361166,55392343,55456805,55642686,56159186,56188521,56240143,56576684,56631103,56834953,56853105,57042943,57159626,57198103,57499428,57503023,57667696,57712183,57736798,58290343,58642821,58650703,58918325,58946119,58962869,59051383,59077519,59207119,59253766,59279666,59343333,59435863,59485641,59609743,59727173,60040663,60063919,60201943,60404119,60513919,60630513,60643312,60672453,60811783,60914743,60955423,61059884,61088868,61134919,61251343,61580568,61727948,61777519,61780946,61878823,61906149,61918494,62025919,62046545,62050325,62197783,62239208,62243143,62267569,62403919,62467466,62468601,62604338,62616908,62661103,62724463,62741066,62786023,62857519,62915119,62957192,63035503,63066823,63176119,63232063,63311119,63344383,63399823,63500119,63548465,63597463,63613663,63648943,63662983,63707838,63726919,63754783,63782863,63786305,63789919,63797119,63801583,63805543,63829706,63927969,63962542,63965138,63968433,64397225,64640138,64774706,64876158,65050988,65602028,65634037,65890293,65906150,65979338,66032681,66080841,66548166,66616660,66876801,66914165,67030988,67897270,68223726,68235884,68451700,68614538,68680328,69002945,69278139,69393866,70019109,70105352,70441540,70525388,70553138,70646825,70701990,70826841,70959884,71192138,71319506,71610668,71634005,71827538,72118905,72238568,72478505,72580101,72584684,72948488,73295278,73310200,73318505,73556108,73587506,73712138,73836626,74094668,74455854,74460390,75001505,75027813,75415456,75679233,75705548,76104725,76258158,76454828,76541861,76543566,76570390,76926832,76981569,77263826,77265369,77276670,77309228,77863946,78307873,78316881,78440825,78454473,78500390,78607112,78868521,78933813,78944393,79087380,79171538,79424416,79939992,79972449,80040373,80228426,80296998,80600684,80936609,81192790,81268389,81476724,81765465,82067049,82077068,82078538,82142040,82428448,82473975,82481140,82620958,82762826,82803534,82812908,82892913,83103026,83127788,83399641,83446132,83528168,83651948,84036921,84232670,84359872,84384428,84529848,84542289,84776190,84784586,84842388,85006346,85337906,85628552,85883505,85944905,85948748,85960806,86106506,86328737,86468588,86542538,86542686,86651186,86854229,86974206,87216496,87402284,87433193,87618176,87622538,87972240,87982206,88023308,88050506,88096745,88125189,88433001,88793906,88953670,89318825,89352468,89364908,89570828,89634866,89837566,89932491,90001806,90092913,90094325,90363146,90427936,90463109,90476465,90495884,90509288,90706462,90776138,90972133,91111148,91325670,91375060,91391306,91609072,91644725,91884468,91939582,92333465,92409795,92547033,92632661,92732004,93099201,93204069,93762910,93800138,93837056,93968825,93969189,94128990,94200468,94531445,94682066,94904856,95096079,95263538,95454465,95486828,95614505,95839826,96126026,96332121,96600146,96743048,96761769,96875233,96996100,97414048,97431348,97537586,98103884,98118558,98121992,98185226,98204108,98541605,98570448,98968770,98977368,99369266,99498632,99503989,99549266,99996746,...,624626087837586244211511715239195139839788118461710369698006972183866271509653595229457702286237130058066743126215301748323370260691063357935214217414749921507179015263592498630024579649947904271824163386863211472825317012391716318024086793258047867209094484003971023321194485556107317952429589899591883001354005845095830166255974896287278908976357479183768579622267373059422996434177354541484889017026797409058083678763403981733009921207553141035046009295534124843722220411971180857859386413654659755223158152945266205470157647350210849934860133201003990110294902202925187670402464582145731951789243067194313734002282145498164834512627458422193484658382208836066779827207102215864559676786664059692823301644643855098669842567692047415139351552968951064912058381381732815781091465734240120103937882515899410315281114566646219380108132148941343229833195252026141207540962815702997374982312433287158191838174003521943804313897431466941835104265934669100401661726004319071814537477043257394496962019221069282913938402466988133114316084346858448991368356512865397122381590831019464206352786445904698604853302810559304806223335480730799963940524848764369224215363408269902991978868379621067499222565411357743503090455553045068129815391937819873570592936043896143165395022311365203861612579999319307265516252254107806993685066054832423200833088865551705342266914283576334557062376999171294588603779759274888182845337427078980034349773487521526702127381914340666820690268984025619784295933396272325313789300618634415526477883427731510213997638701180657742250035856567779810230422901160885045492699342905635982415686468653052990803714281162726720964815254933359876371206212326164430110949955873221675537270383284747834003009646646203006488745543228410041849269261308171716314363359828969276791057345843480222110942194060411831000022221078016243565817996268399132101889873828074334828750125491585388619526280473738312110904428149996902032117470500604966874883821453528184212315894656722071849382897682985861162520722283203513656546529376171575057604424005918524309671586521901679738165260326559920926894932607564088501069603093152774713802592120883562414471058579061981530240183199091737777820334139875170697689324630966561981987728124701370981882857488889174311985303657323177888943666683232869580804860257577410842678976561414547525754208163956902844280934846815719462143237333896193984422065579274909435167055196137862749170482291634372377452278328476929512704459224963927451870513556524406664093734436906626593153499397403256602796868449503529924}
15977 20170675345706884211604034523380364022741781972321483341961031141: {63892,127768,143739,1037335,1228843,1244802,1755490,1769007,2106588,2912079,3127964,3197307,3482319,4218535,4468520,4620207,4694335,5027085,5062242,5083903,5238667,5362224,5633202,5644855,5984625,6032502,6231367,6383600,6593935,6773826,6916658,7167819,7181550,7449807,7483810,7531579,7660320,7912722,8171008,8230123,8486959,8617860,8960335,8980572,9192384,9230347,9277279,9880940,9893863,10015567,10323643,10341432,10752402,11095543,11353099,11374959,11506514,11634111,11788135,11857128,12714487,12884335,12940844,13186210,13339269,13387879,13584578,13805803,14134090,14145762,14290855,14332207,14362546,14429307,14705679,14915138,15005959,15461202,15533499,15543583,15694135,15823452,15948703,16627855,16960908,17135599,17149026,17183307,17195467,17457519,17560135,17573234,17797442,18335935,18473707,18486920,18666043,18800935,18832962,18913423,18955855,19060652,19130167,19171292,19178023,19383319,19406540,19715767,19786123,19953426,20187759,20590604,20797785,20949404,21072162,21241282,21307340,21328183,21431563,21544779,21673063,21750967,22003122,22184304,22382114,22402447,22561122,22747026,22969735,23287848,23614892,24200834,24242619,24352855,24481867,24957342,25104620,25218986,25315707,25568808,25667047,25885855,25924063,26001842,26198829,26278364,26317963,26391010,26664199,27186079,27229903,27302143,27328810,27387560,27563682,27567535,27717519,28104103,28248879,28265890,28334779,28764909,28998706,29057323,29223426,29573499,29927720,30118748,30125544,30157322,30308935,30365679,30584786,30618103,30635852,30811005,30856783,31063026,31072810,31084603,31154407,31669212,32107627,32256488,32690743,32734855,32794572,32865072,33081042,33437138,33486079,33490855,33514959,33668685,33735560,33891237,33919068,33939308,34295287,34513963,34557807,34572620,34668223,35142044,35513959,35752855,35856507,35913264,36192799,36288549,36370722,36490658,36559208,36667210,36846344,36851767,36973206,37105735,37287372,37514588,37540520,37597090,37952505,38351218,38406463,38605135,38694639,38891372,39164359,39281826,39300283,39549607,39565484,39641503,39976059,40004258,40052204,40189026,40249855,40323679,40379287,40402422,40453394,40482672,40581703,40932079,41129109,41346283,41452137,41487144,42178207,42233085,42392066,42427063,42470402,42678284,42903426,43536938,43702183,43773487,43839692,43969855,44000652,44526882,44544459,44755279,45048624,45116508,45400988,45543006,45611083,46042135,46326162,46429567,46439887,46529612,46673037,47052219,47075335,47513564,47649199,47662754,47674699,47767340,48149227,48299826,48546507,48784268,48821179,48963225,49135855,49282735,49584908,49839367,50016535,50033019,50104843,50202920,50456335,50459234,50679702,51035468,51265839,51481135,51731527,51845288,51867346,52211935,52227440,52763826,52921483,53062898,53319463,53524855,53882997,54107335,54167852,54365314,54459307,54568063,54689007,54883819,55087543,55205179,55250562,56285935,56478285,56490402,56491663,56522120,56819804,56867259,57042967,57148940,57184322,57218443,57223148,57289999,57320808,57435752,57936703,58038178,58069839,58325949,58456274,58662188,58744135,58755870,58757522,58963026,58993423,59046585,59139282,59200459,59617723,59658967,59690839,60019842,60088783,60095287,60100546,60243504,60307052,60458799,60547602,60610090,60637867,60713647,61228498,61240783,61342183,61477855,61632043,61777362,62118219,62294647,62338135,62431690,62654322,62672928,62928092,62983024,63208747,63587385,63726079,63829927,64001739,64049228,64146425,64229826,64481287,64485909,64615221,64928802,65158690,65239148,65651179,65662999,65816168,65953058,65988524,66278146,66475855,66801099,67131368,67140823,67310978,67543122,67727307,67773942,67826544,67847803,67876520,67989823,68272844,68334178,68525132,68578728,68602855,68781223,68784610,69018826,69168535,69175063,69496364,69947493,69963079,70027707,70162258,70188584,70492962,70507044,70720855,70855902,71668778,71872988,71874285,71896423,72084620,72124892,72390284,72533199,72732108,72966343,73087147,73307959,73663419,73773426,73814888,73851247,73963617,74043189,74190248,74788239,74805762,74898583,74918028,74924983,74979883,75522789,75684207,75804140,76304862,76314434,76324855,76361085,76576719,76626223,76665904,76975710,77151069,77159935,77577799,77687499,77799010,78037327,78190428,78271135,78590578,78696490,78962157,79013307,79124444,79195627,79314188,79573867,79771026,80088394,80105407,80157938,80637106,80684299,80840684,80896604,81313735,81451824,82002535,82107424,82110667,82317463,82323426,82541532,82557992,82736263,82760983,83002242,83041749,83257687,83270825,83291468,83464029,83545394,83788735,84004087,84238779,84300127,84590599,84650167,84700519,84865026,84898363,84943784,85237292,85291244,85294855,85564625,85739439,85850410,85856743,86249142,86501544,86605197,87055783,87061303,87491083,87631690,87853724,87944383,88051925,88107788,88156735,88699855,88730888,88843579,88864363,88880649,88919499,89018299,89090834,89169068,89513335,89661298,89698207,90027103,90298210,90730855,90887479,90964968,91185610,91254722,91261387,91589826,91633302,91637750,91945135,92370852,92458123,92591922,92618335,92671419,92711714,92877741,93060127,93244939,93358812,93650347,93657607,93674282,93701199,93906507,93925362,94082287,94111599,94205743,94253503,94269320,94328107,94435788,94631935,95212903,95561757,95568535,95744559,95943813,95947707,96158540,96179143,96294703,96442783,96636535,96773468,96952306,96960207,97162059,97314237,97461367,97576482,97752139,98258890,98403042,98764159,98859225,98969007,99239378,99274472,99280520,99562802,99822249,99924990,99947623,...,936939131756379366317267572858792709759682177692565554547010458275799407264480392844186553429355695087100114689322952622485055391036595036902821326122124882260768522895388747945036869474921856407736245080294817209237975518587574477036130189887071800813641726005956534981791728334160976928644384849387824502031008767643745249383962344430918363464536218775652869433401059589134494651266031812227333525540196113587125518145105972599514881811329711552569013943301187265583330617956771286789079620481989632834737229417899308205236471025316274902290199801505985165442353304387781505603696873218597927683864600791470601003423218247247251768941187633290226987573313254100169740810653323796839515179996089539234952466965782648004763851538071122709027329453426597368087572072599223671637198601360180155906823773849115472921671849969329070162198223412014844749792878039211811311444223554496062473468649930737287757261005282915706470846147200412752656398902003650602492589006478607721806215564886091745443028831603924370907603700482199671474126520287673487052534769298095683572386246529196309529179668857047907279954215838957209335003221096199945910787273146553836323045112404854487968302569431601248833848117036615254635683329567602194723087906729810355889404065844214748092533467047805792418869998978960898274378381161710490527599082248634801249633298327558013400371425364501835593565498756941882905669638912332274268006140618470051524660231282290053191072871511000231035403476038429676443900094408487970683950927951623289716825141597265320996458051770986613375053784851669715345634351741327568239049014358453973623529702979579486205571421744090081447222882400039814556809318489246645166424933809832513305905574927121751004514469969304509733118314842615062773903891962257574471545039743453915186586018765220333166413291090617746500033331617024365348726994402598698152834810742111502243125188237378082929289420710607468166356642224995353048176205750907450312325732180292276318473841985083107774074346524478791743781083424805270484819794064257362586406636008877786464507379782852519607247890489839881390342398911346132751604404639729162070703888181325343621706587868592972295360274798637606666730501209812756046533986946449842972981592187052056472824286233333761467977955485984766833415500024849304371207290386366116264018464842121821288631312245935354266421402270223579193214856000844290976633098368912364152750582794206794123755723437451558566178417492715394269056688837445891177805770334786609996140601655359939889730249096104884904195302674255294886}
15978 20258968289184218923593367951803506771405224041226207845806493914: {79865,95838,111797,159710,191652,303221,542606,653417,939221,1129397,1414121,1540457,1603577,1659736,1687838,1867203,2358676,2633235,2808784,2827886,2859257,3015317,3159882,3326837,3606521,3761621,3792617,3882772,3909955,3947477,4263076,4643092,4691946,4810997,4872437,4964537,5179157,5271017,5280206,5454521,5467838,5585650,5607221,5655326,6160276,6185657,6367721,6519221,6702780,6749656,7149632,7150046,7243637,7510936,7522286,7593363,7979500,8043336,8449803,8886377,9031768,9034517,9048753,9190238,9241577,9477737,9507221,9557092,9575400,9919157,9933076,10095221,10160739,10213760,10374987,10550296,10563317,10709177,10772325,10825721,10846526,10971221,11225715,11435477,11490480,11580137,11869083,11974096,12256512,12351175,12558521,12701621,12926790,12958697,13243577,13385717,13470858,13788576,13943246,14234357,14336536,14821410,14846126,15103721,15166612,15271097,15410357,15512148,15521621,15565838,15660521,15745406,15809504,16128603,16176055,16186517,16241717,16489721,17065877,17259771,17355038,17475257,17785692,18153557,18234617,18244238,18421646,18800021,18861016,18953006,19239076,19361897,19411266,19607572,19779315,19835726,20376867,20614936,20711332,20714846,20764277,20790521,21097936,21183221,21201135,21218643,21543819,21574121,21704021,22118357,22372707,22479221,22582037,22614544,22633397,22636238,22865368,22911076,23108650,23119721,23191803,23276692,23476217,23729897,23735178,23825815,23964115,24234857,24258175,25056446,25110616,25399886,25441362,25532777,25723539,25738255,26186755,26359851,26394197,26604568,26634175,26696163,26833397,26917012,27342521,27704021,27730380,28087637,28096216,28224427,28249443,28590978,28726372,28756938,29109810,29132021,29337496,29518615,29578217,29579072,29930139,30068021,30081496,30329368,30482366,30554297,30885906,31050464,31082837,31105721,31242857,31311317,31380775,31424106,31425257,31561721,31608243,31861923,31961010,31989307,32037077,32240551,32323492,32374457,32644526,32710037,32847955,32975006,33004683,33043817,33276456,33573171,33754276,33841683,33925097,34091744,34120539,34234450,34317497,34455038,34556021,34931772,35272238,35287157,35422338,35712917,35923406,35966837,36051221,36085838,36156521,36248126,36301251,36366521,36639163,36751576,36804917,36908777,36956692,37057406,37095221,37409650,37425077,37436013,37486697,37541246,37648435,37656930,37665172,37712021,37828479,38294815,38344766,38353212,38623721,38643797,38665166,38742847,38924021,38964568,39002763,39043637,39123221,39301817,39417546,39431332,39538937,39586515,39598037,39716021,39814121,40167392,40282217,40320610,40487572,40591721,40764917,40993215,41081340,41090297,41345523,41417368,41432297,41522846,41680238,41837486,41902997,42015221,42127157,42169450,42225616,42387221,42398835,42424135,42664121,43090286,43215775,43321337,43375637,43498059,43592117,43664021,43726096,43820096,43835139,43914677,43927555,44039417,44108056,44181497,44686612,44797838,44831957,44891580,45178122,45188316,45225424,45230777,45235983,45364627,45402857,45437177,45505721,45659477,45699010,45761621,45877179,45953778,45998837,46057930,46077076,46181966,46451897,46594539,46609215,46893235,46915577,46925650,46948457,47161397,47340521,47503818,47647637,47808676,47884352,47967797,48063221,48316277,48384732,48494296,48614215,48629717,48785237,49001621,49139897,49191858,49292777,49297608,49366238,49456855,49475177,49621563,49716496,49911221,49926137,50065255,50134121,50155707,50193257,50256283,50603340,50632697,50878517,50878602,50908962,51306677,51518057,51592852,51601838,51699797,51858930,52114037,52375768,52668521,52713066,52721897,52868021,52947317,53144297,53220686,53301412,53347855,53585368,53660777,53762537,53869896,53976896,54039737,54337721,54399221,54472757,54556083,54594677,54735987,54799615,54838812,54884021,55000815,55015097,55110146,55121621,55269516,55316192,55400126,55402517,55459809,55587221,55747157,55928021,55931058,55984121,56028857,56271882,56310780,56395635,56751235,56843957,56865077,57022457,57204568,57219221,57372521,57405038,57513977,57524021,57526827,57547166,57589147,57633977,57723221,57733097,58162015,58255646,58311017,58337058,58339157,58385897,58534121,58634837,58667536,58739947,58922739,59036777,59149877,59201621,59321237,59348226,59369176,59372021,59391955,59392612,59621621,59709175,59911637,59982521,60006387,60013817,60052757,60064832,60078306,60155344,60221717,60283539,60334697,60603633,60612857,60662837,60680091,60724008,60726521,60824297,60915038,60968021,60974777,60980335,61028537,61068521,61167221,61384277,61415011,61550057,61744757,61768216,61841657,61914197,61981135,61996217,62055221,62156606,62165177,62230716,62256617,62360021,62388917,62473877,62506217,62569721,62662037,62736292,62742521,62753650,62779637,62787797,62799977,62841326,62898677,63084521,63135221,63258617,63273557,63345257,63361721,63391157,63414521,63417077,63439721,63534677,63541097,63561977,63588099,63601337,63628757,63630521,63639221,63664121,63665717,63705603,63708521,63729257,63732917,63735317,63762617,63770297,63771221,63794335,63794537,63809237,63811577,63819221,64017426,64199966,64355139,64399768,64588027,64728676,64806610,64916467,65142446,65284300,65305407,65564818,65677838,65759538,66000978,66710692,66790323,66874046,67082666,67572936,67674762,67709815,68101482,68314509,68354452,69101726,69489243,69749006,69794418,70027178,70351768,70586659,70652650,70905038,71024755,71269363,71270346,71436175,71494131,71528935,71651010,71794690,71843996,72238243,72449739,72918676,73176402,73327735,73557086,73667416,74325811,74377362,75304380,75320536,75383815,75688851,75823012,76019553,76388846,76427744,76553202,76631486,77235566,77426452,77639527,77767932,77801019,78038623,78313838,78341160,78617368,78660115,78728780,78852376,79145739,79498238,79594347,80026456,80061535,80324672,80611732,80730136,81132206,81251778,81547971,81548935,82270210,82369816,82485655,82795339,82824292,82875843,83539096,83563904,83914210,84091838,84203726,84735603,84783180,84845650,85229706,85335652,85341055,85639768,85645166,85656415,85723410,85776483,85834722,85981212,86153628,86411246,86571736,86865163,86870455,87057267,87684411,87735730,87993282,88029086,88133805,88136283,88444539,88708923,88967851,89068132,89300827,89841235,90029763,90057496,90105775,90150819,90156115,90303076,90365256,90435392,90458563,90460578,90487855,90821403,90915135,91438304,91842747,92184926,92268610,92282443,92666043,92737810,93088238,93263324,93297919,93370276,93585038,93647535,93679831,93981483,93990616,94009392,94392138,94474536,94755175,95056178,95632286,95832380,95919566,96073842,96344739,96485059,96584846,96604123,96710932,96961838,96976144,97055726,97393203,97719451,97738035,97858722,98217892,98364568,98618156,98724252,98905555,98929587,98982786,99142735,99417219,99717652,99741016,99805406,99890704,...,1405408697634569049475901359288189064639523266538848331820515687413699110896720589266279830144033542630650172033984428933727583086554892555354231989183187323391152784343083121917555304212382784611604367620442225813856963277881361715554195284830607701220462589008934802472687592501241465392966577274081736753046513151465617874075943516646377545196804328163479304150101589383701741976899047718341000288310294170380688277217658958899272322716994567328853520914951780898374995926935156930183619430722984449252105844126848962307854706537974412353435299702258977748163529956581672258405545309827896891525796901187205901505134827370870877653411781449935340481359969881150254611215979985695259272769994134308852428700448673972007145777307106684063540994180139896052131358108898835507455797902040270233860235660773673209382507774953993605243297335118022267124689317058817716967166335331744093710202974896105931635891507924373559706269220800619128984598353005475903738883509717911582709323347329137618164543247405886556361405550723299507211189780431510230578802153947143525358579369793794464293769503285571860919931323758435814002504831644299918866180909719830754484567668607281731952453854147401873250772175554922881953524994351403292084631860094715533834106098766322122138800200571708688628304998468441347411567571742565735791398623372952201874449947491337020100557138046752753390348248135412824358504458368498411402009210927705077286990346923435079786609307266500346553105214057644514665850141612731956025926391927434934575237712395897981494687077656479920062580677277504573018451527611991352358573521537680960435294554469369229308357132616135122170834323600059721835213977733869967749637400714748769958858362390682626506771704953956764599677472263922594160855837943386361707317559615180872779879028147830499749619936635926619750049997425536548023090491603898047229252216113167253364687782356067124393934131065911202249534963337493029572264308626361175468488598270438414477710762977624661661111519786718187615671625137207905727229691096386043879609954013316679696761069674278779410871835734759822085513598367019199127406606959593743106055832271988015432559881802889458443040412197956410000095751814719134069800980419674764459472388280578084709236429350000642201966933228977150250123250037273956556810935579549174396027697263182731932946968368903031399632103405335368789822284001266436464949647553368546229125874191310191185633585156177337849267626239073091403585033256168836766708655502179914994210902483039909834595373644157327356292954011382942329}
15979 20347644701357450611216107296609401997752317998535514068849989448: {127784,143757,239565,255536,287478,813909,1452269,2074670,2457686,2489604,2531757,2948345,3510980,3538014,4213176,4241829,4739823,4853465,5328845,5434517,5803865,5824158,5905949,6008249,6255928,6394614,6572069,6964469,6964638,7037919,7700345,7902797,7920309,8201757,8378475,8437070,8482989,8900957,8937040,9231509,9240414,9388670,9726509,9974375,10054170,10124484,10167806,10477334,10673597,10724448,10725069,10964057,11193869,11266404,11283429,11289710,11636789,11719037,11946365,11969250,12065004,12200669,12400901,12416345,12462734,12544469,12767200,13187870,13547069,13547652,13785357,13807541,13833316,14210309,14311181,14335638,14363100,14899614,14967620,15063158,15320640,15737957,15825444,16018349,16269789,16315949,16342016,16460246,16489337,16503389,16973918,17074649,17235720,17825021,17920670,17961144,18038069,18369689,18384768,18460694,18554558,18958265,19014941,19390185,19718249,19761880,19787726,19836029,20007197,20031134,20206287,20217797,20647286,20682864,20914869,21434261,21504804,21971789,22035269,22059869,22191086,22232115,22269189,22706198,22749918,23013028,23167757,23268222,23278997,23348757,23576270,23618109,23714256,23837381,24048845,24121817,24484949,24509465,24584189,25038029,25428974,25670309,25768670,25881688,25889165,26032557,26272037,26321309,26372420,26538197,26678538,26775758,27169156,27366357,27611606,27632469,27769109,28107641,28268180,28291524,28429509,28581710,28638845,28664414,28725092,28848509,28858614,29060981,29095865,29116899,29411358,29753589,29830276,30011918,30042317,30433421,30637529,30922404,31066998,31072269,31087166,31158329,31388270,31431917,31646904,31897406,32111669,32157629,32266169,32984837,33255710,33486557,33611609,33646265,33921816,33954357,34093997,34271198,34298052,34366614,34390934,34662975,34915038,34945277,35120270,35146468,35381429,35594884,35602767,35843417,35907965,36240197,36671870,36736349,36947414,36973840,37332086,37389749,37584669,37601870,37665924,37826846,37911710,38099829,38121304,38162043,38260334,38342584,38356046,38594549,38766638,38813080,39431534,39572246,39574457,39646541,39708377,39906852,40279949,40375518,40404365,40789229,41181208,41187269,41595570,41692277,41898808,42144324,42192845,42432509,42482564,42614680,42656366,42863126,42886467,43089558,43135407,43346126,43501934,43664715,43754981,44006244,44368608,44764228,44804894,45122244,45356021,45494052,45723549,45828797,45939470,46195865,46328859,46445789,46575696,46849049,46887197,47081465,47136159,47140349,47229784,47655257,47941515,48401668,48485238,48702989,48705710,48863789,48923309,48963734,48966789,49289165,49462509,49914684,50053997,50209240,50437972,50566949,50609465,50631414,51137616,51334094,51351675,51367301,51682557,51771710,51848126,51891869,51948029,52003684,52397658,52556728,52635926,52782020,52887197,52908357,53133507,53328398,53885109,54047189,54128757,54372158,54372189,54412229,54459806,54604286,54657620,54775120,55127364,55135070,55435038,55586109,55858265,56114475,56208206,56311869,56315309,56349797,56485395,56497758,56531780,56669558,57076541,57517149,57529818,57596345,57697757,57817589,57997412,57997749,58114646,58276109,58446852,59126319,59146998,59592341,59666549,59760845,59855440,59961341,60237496,60251088,60314644,60480915,60617870,60731358,61169572,61236206,61248569,61271704,61557797,61622010,61713566,62126052,62145620,62169206,62284269,62308814,62520357,62756229,62981237,63137741,63254175,63338424,64215254,64232837,64458989,64489529,64491065,64512976,64635429,65381486,65469710,65589144,65730144,65905469,66162084,66626765,66677669,66874276,66972158,66981710,67029918,67196757,67337370,67471120,67767183,67782474,67838136,67856429,67878616,68120981,68445581,68470649,68548515,68590574,68790197,68930667,68995829,69027926,69086895,69115614,69145240,69272949,69336446,69623429,69999941,70023149,70284088,70388475,70457309,70638869,71027918,71255727,71505710,71713014,71826528,72073589,72385598,72577098,72741444,72837869,72981316,73096709,73118416,73334420,73692688,73703534,73787787,73945757,73946412,74049357,74211470,74240765,74574744,74625149,74934797,75029176,75081040,75194180,75431669,75750269,75905010,76317903,76363443,76702436,76812926,76854797,76883957,77210270,77389278,77402757,77587757,77782744,77788395,77973797,78328718,78420365,78563652,78600566,78800309,79069599,79099214,79130968,79283006,79831029,79952118,80008516,80104408,80351609,80378052,80499710,80647358,80694557,80758574,80804844,80906788,80910845,80965344,81061229,81163406,81274829,81605375,81864158,82241789,82258218,82539629,82665219,82692566,82834109,82904274,82974288,83100189,83268329,83388365,83710181,83896587,84356414,84407823,84466170,84784132,84854126,84940804,85356568,85443065,85806852,86068997,86107557,86320749,86332949,86377757,87073876,87218189,87273389,87383469,87404366,87505587,87546974,87679384,87939710,88001304,88224317,88468637,88612589,89022339,89053764,89088918,89510558,89804995,90097248,90117459,90233016,90555029,90801976,91086012,91148345,91222166,91372557,91374809,91806077,92084270,92469941,92652324,92859134,92879774,93052709,93059224,93066197,93234909,93346074,94104438,94130475,94150670,94217789,94261989,94352549,94418669,94778765,95027128,95298398,95325508,95349398,95534680,95871557,96026139,96043997,96119909,96298454,96299949,96306941,96599652,96783065,96835949,97093014,97155581,97209915,97448537,97568536,97642358,97686677,97713669,97737317,97926450,98271710,98290781,98347227,98410975,98516757,98565470,98639307,99001467,99009197,99169816,99678734,99890909,...,1873878263512758732634535145717585419519364355385131109094020916551598814528960785688373106858711390174200229378645905244970110782073190073805642652244249764521537045790777495890073738949843712815472490160589634418475951037175148954072260379774143601627283452011913069963583456668321953857288769698775649004062017535287490498767924688861836726929072437551305738866802119178268989302532063624454667051080392227174251036290211945199029763622659423105138027886602374531166661235913542573578159240963979265669474458835798616410472942050632549804580399603011970330884706608775563011207393746437195855367729201582941202006846436494494503537882375266580453975146626508200339481621306647593679030359992179078469904933931565296009527703076142245418054658906853194736175144145198447343274397202720360311813647547698230945843343699938658140324396446824029689499585756078423622622888447108992124946937299861474575514522010565831412941692294400825505312797804007301204985178012957215443612431129772183490886057663207848741815207400964399342948253040575346974105069538596191367144772493058392619058359337714095814559908431677914418670006442192399891821574546293107672646090224809708975936605138863202497667696234073230509271366659135204389446175813459620711778808131688429496185066934095611584837739997957921796548756762323420981055198164497269602499266596655116026800742850729003671187130997513883765811339277824664548536012281236940103049320462564580106382145743022000462070806952076859352887800188816975941367901855903246579433650283194530641992916103541973226750107569703339430691268703482655136478098028716907947247059405959158972411142843488180162894445764800079629113618636978493290332849867619665026611811149854243502009028939938609019466236629685230125547807783924515148943090079486907830373172037530440666332826582181235493000066663234048730697453988805197396305669621484223004486250376474756165858578841421214936332713284449990706096352411501814900624651464360584552636947683970166215548148693048957583487562166849610540969639588128514725172813272017755572929014759565705039214495780979679762780684797822692265503208809279458324141407776362650687243413175737185944590720549597275213333461002419625512093067973892899685945963184374104112945648572466667522935955910971969533666831000049698608742414580772732232528036929684243642577262624491870708532842804540447158386429712001688581953266196737824728305501165588413588247511446874903117132356834985430788538113377674891782355611540669573219992281203310719879779460498192209769808390605348510589772}
15980 20436706234677312683841932692429903018977849233985510566909205500: {111811,159730,191676,223594,319420,383304,431217,606442,685291,971059,1066171,1085212,1161211,1256179,1306834,1635331,1878442,2258794,2484211,2578171,2828242,3046891,3080914,3112005,3207154,3319472,3375676,3686529,3734406,3793099,4388725,4717352,4903771,5179819,5266470,5271691,5307021,5473937,5617568,5655772,5718514,5821411,5912779,6030634,6186451,6319764,6550339,6653674,6822499,7213042,7523242,7545091,7585234,7765544,7819910,7894954,8352499,8526152,8736237,9286184,9331411,9383892,9508459,9591921,9621994,9685219,9744874,9929074,10125859,10301611,10358314,10446957,10542034,10560412,10564699,10827139,10909042,10935676,11171300,11214442,11263099,11310652,11956891,12320552,12371314,12655605,12735442,12988939,13038442,13405560,13499312,13671211,13841059,13860621,14083005,14299264,14300092,14487274,14517571,14938051,15021872,15044572,15081255,15186726,15251709,15440251,15690379,15716001,15959000,16086672,16271491,16766779,16899606,16934565,17095531,17291645,17749579,17772754,17912371,17953875,18063536,18069034,18097506,18380476,18399019,18483154,18694101,18709525,18955474,19014442,19043851,19114184,19150800,19444531,19781805,19838314,19866152,20190442,20321478,20427520,20714611,20749974,20793379,21029251,21100592,21126634,21418354,21503457,21544650,21651442,21693052,21942442,22121419,22276291,22349421,22353619,22451430,22594737,22646477,22739179,22870954,22980960,23160274,23733211,23738166,23948192,24263419,24513024,24690369,24702350,25014739,25117042,25313251,25403242,25460877,25853580,25906819,25917394,26422411,26487154,26771434,26881005,26941716,27370579,27577152,27691041,27831837,27886492,28163371,28468714,28673072,28766285,29642820,29681589,29692252,30046701,30207442,30333224,30542194,30558739,30820714,30903979,30970929,31024296,31043242,31110259,31131676,31315891,31321042,31384291,31490812,31589059,31619008,31996651,32257206,32352110,32373034,32401651,32468899,32483434,32965525,32979442,33286629,33336571,33356141,33549761,33732931,33961445,34059297,34124877,34126699,34131754,34519542,34710076,34902333,34950514,35335225,35364405,35548339,35571384,35675851,35739499,35906365,35993371,36033557,36183019,36307114,36469234,36488476,36661457,36843292,36872851,36935131,37245451,37287845,37600042,37722032,37799491,37906012,38104771,38143461,38478152,38649739,38653005,38723794,38822532,38949979,39215144,39545059,39558630,39671452,40017807,40163637,40713619,40753734,41058571,41229872,41326061,41417409,41422664,41429692,41457739,41528554,41581042,42195872,42245491,42366442,42402270,42412459,42437286,42689299,42872565,42996621,43073851,43087638,43148242,43287921,43300829,43346371,43400659,43408042,43933085,43939579,44099851,44117037,44206339,44236714,44312539,44493605,44629411,44745414,44891491,44958442,45017877,45164074,45229088,45266794,45272476,45358699,45666931,45730736,45769099,45787001,45822152,45987137,46023259,46217300,46239442,46383606,46476211,46553384,46600497,46630749,46952434,47082405,47169211,47364619,47459794,47461891,47470356,47651630,47846109,47928230,48087139,48134731,48371611,48469714,48516350,48653491,49117531,49163539,49483579,49883565,49934659,50112892,50221232,50684971,50799772,50882724,51065554,51406797,51447078,51476510,51541051,51549921,51586401,51750571,52327651,52372557,52373510,52680405,52691179,52707809,52719702,52771171,52788394,53103205,53166811,53205979,53209136,53268350,53392326,53555251,53612741,53666794,53834024,53860819,54049459,54347539,54494851,54685042,54822091,54858091,55007805,55037011,55354531,55408042,55421121,55460760,55562971,55597459,55955285,55998129,56106139,56175274,56192432,56205931,56402805,56448854,56498886,56727211,56740269,56867565,57181956,57199171,57383419,57390501,57452744,57513876,57534069,57534979,57654931,57744139,57773731,58036819,58149957,58219620,58237411,58264042,58350451,58406539,58674992,58764091,59037230,59135539,59147301,59156434,59158144,59213299,59341459,59358369,59392219,59393789,59860278,59907811,60136042,60162992,60165211,60188179,60346939,60458179,60502085,60502171,60563277,60632419,60658736,60675259,60802051,60964732,60987379,61107691,61108594,61186459,61205971,61244779,61498577,61526659,61757851,61771812,61843531,62009491,62073859,62100928,62165674,62183731,62211442,62378419,62393355,62407291,62478211,62485714,62492179,62587939,62622634,62761550,62793571,62848212,62850514,62935699,62969611,63047465,63123442,63149539,63179131,63216486,63245659,63282091,63408451,63431779,63511771,63558139,63634891,63645619,63656059,63680899,63690331,63723846,63737059,63748291,63765571,63786739,63799699,63827779,63836131,63839371,63922020,63978614,63984549,64074154,64294689,64481102,64634337,64646984,64748914,65004605,65019189,65252901,65289052,65420074,65650529,65695910,65950012,65977525,66009366,66087634,66552912,67146342,67207341,67508552,67683366,67850194,68059901,68183488,68241078,68322025,68468900,68634994,68909205,68910076,69112042,69239597,69863544,70091357,70544476,70574314,70664725,70844676,71425834,71846812,71933674,72102442,72171676,72313042,72496252,72496765,72602502,72727857,72733042,73058565,73278326,73445601,73503152,73609834,73817554,73913384,74114812,74190442,74686997,74819300,74850154,74872026,74973394,75082492,75296870,75313860,75330344,75393305,75424042,75656958,75947121,76461965,76589630,76689532,76706424,76719461,77001141,77247442,77287594,77330332,77485694,77657565,77682025,77772189,77848042,77929136,78005526,78087274,78246442,78596487,78603634,78835092,78862664,78953889,79077874,79173030,79196074,79432042,79451729,79628242,79992597,80334784,80564434,80641220,80975144,81183442,81426821,81529834,81558237,81689709,81906429,81986430,82162680,82180594,82691046,82702605,82834736,82864594,83045692,83148737,83152557,83360476,83420597,83592845,83674972,83805994,84030442,84227429,84254314,84312309,84338900,84451232,84746637,84774442,84797670,84848270,85004337,85328242,85372469,86180572,86294727,86350429,86431550,86642674,86751274,86773589,86996118,87171969,87184234,87328042,87452192,87640192,87670278,87829354,87855110,88078834,88216112,88362994,88720497,89312069,89373224,89595676,89663914,89783160,90356244,90376632,90450848,90461554,90471966,90729254,90805714,90874354,90926805,91011442,91097037,91226645,91318954,91398020,91523242,91668025,91754358,91854309,91907556,91997674,92115860,92154152,92363932,92433015,92570349,92655937,92903794,93189078,93218430,93253809,93463221,93786470,93831154,93851300,93896914,93992725,94322794,94681042,94793741,95007636,95295274,95617352,95768704,95878045,95935594,96126442,96322881,96632554,96769464,96988592,97228430,97259434,97570474,97849037,98003242,98072229,98204565,98279794,98383716,98585554,98595216,98732476,98913710,98950354,99243126,99432992,99434657,99822442,99852274,...,2810817395269138098951802718576378129279046533077696663641031374827398221793441178532559660288067085261300344067968857867455166173109785110708463978366374646782305568686166243835110608424765569223208735240884451627713926555762723431108390569661215402440925178017869604945375185002482930785933154548163473506093026302931235748151887033292755090393608656326958608300203178767403483953798095436682000576620588340761376554435317917798544645433989134657707041829903561796749991853870313860367238861445968898504211688253697924615709413075948824706870599404517955496327059913163344516811090619655793783051593802374411803010269654741741755306823562899870680962719939762300509222431959971390518545539988268617704857400897347944014291554614213368127081988360279792104262716217797671014911595804080540467720471321547346418765015549907987210486594670236044534249378634117635433934332670663488187420405949792211863271783015848747119412538441601238257969196706010951807477767019435823165418646694658275236329086494811773112722811101446599014422379560863020461157604307894287050717158739587588928587539006571143721839862647516871628005009663288599837732361819439661508969135337214563463904907708294803746501544351109845763907049988702806584169263720189431067668212197532644244277600401143417377256609996936882694823135143485131471582797246745904403748899894982674040201114276093505506780696496270825648717008916736996822804018421855410154573980693846870159573218614533000693106210428115289029331700283225463912051852783854869869150475424791795962989374155312959840125161354555009146036903055223982704717147043075361920870589108938738458616714265232270244341668647200119443670427955467739935499274801429497539917716724781365253013543409907913529199354944527845188321711675886772723414635119230361745559758056295660999499239873271853239500099994851073096046180983207796094458504432226334506729375564712134248787868262131822404499069926674986059144528617252722350936977196540876828955421525955249323322223039573436375231343250274415811454459382192772087759219908026633359393522139348557558821743671469519644171027196734038398254813213919187486212111664543976030865119763605778916886080824395912820000191503629438268139601960839349528918944776561156169418472858700001284403933866457954300500246500074547913113621871159098348792055394526365463865893936737806062799264206810670737579644568002532872929899295106737092458251748382620382371267170312354675698535252478146182807170066512337673533417311004359829988421804966079819669190747288314654712585908022765884658}
15981 20526154548659638267372015468661485002949136330589120351245430651: {239595,255568,287514,335391,399275,479130,511072,574956,909663,1356515,1627818,1931039,1960251,2817663,2904538,3388191,4127683,4149340,4219595,4242363,4621371,4810731,4915372,4979208,5063514,5601609,5896690,6422611,6794851,7021960,7069715,7076028,7460383,7899705,8125411,8232191,8426352,8483658,8577771,9045951,9479646,9706930,9980511,10657690,10780483,10819563,10869034,11098331,11284863,11377851,11607730,11648316,11729865,11811898,11842431,12016498,12511856,12614251,12789228,13005823,13144138,13200515,13391243,13669595,13849771,13928938,13929276,13964125,14075838,14138315,14432991,14504831,14617311,14893611,15298159,15400690,15537471,15547499,15805594,15813051,15840618,16318003,16363563,16403514,16724911,16756950,16821663,16874140,16965978,17382883,17801914,17874080,17875115,18252211,18429259,18463018,18480828,18556971,18777340,18805715,19103163,19453018,19557663,19948750,20108340,20248968,20335612,20954668,21204031,21347194,21448896,21450138,21730911,21776683,21928114,22038043,22387738,22408091,22472203,22532808,22566858,22579420,22780089,22975595,23273578,23438074,23892730,23938500,24130008,24401338,24801802,24832690,24925468,25088938,25298491,25349409,25534400,25943471,26375740,26541571,26659131,27094138,27095304,27103551,27116315,27146259,27570714,27615082,27666632,27724731,28420618,28433211,28521663,28622362,28671276,28726200,29030111,29757471,29799228,29935240,30046099,30061691,30126316,30285663,30482217,30641280,31036063,31048771,31092479,31124961,31475914,31650888,31689951,32036698,32127531,32316975,32477163,32539578,32631898,32684032,32698979,32913663,32920492,32978674,33006778,33668383,33677145,33947836,34149298,34180091,34306431,34313251,34471440,34522451,34740411,34858115,35094383,35607249,35650042,35841340,35922288,35929651,36076138,36244831,36739378,36769536,36921388,37053525,37109116,37115315,37146811,37675563,37916530,38029882,38104863,38416139,38780370,38876091,38914595,39359083,39363515,39436498,39523760,39559571,39575452,39672058,39730731,40014394,40062268,40094383,40157151,40333931,40412574,40435594,40734211,41294572,41356799,41365728,41645371,41788543,41829738,42703071,42868522,43009608,43387595,43943578,44070538,44119738,44382172,44464230,44538378,44847683,45311163,45412396,45499836,45610595,45813291,46026056,46054115,46231071,46335514,46441331,46536444,46557994,46564863,46697514,46855003,46981563,47104771,47152540,47236218,47382515,47428512,47674762,48097690,48243634,48385809,48528165,48559551,48725151,48969898,49018930,49168378,49272691,49469163,49589315,50076058,50271151,50857948,51197631,51214931,51340618,51537340,51763376,51778330,51779313,51787115,52065114,52425771,52544074,52642618,52744840,52803683,53076394,53357076,53551516,53873023,54177443,54338312,54460671,54703851,54732714,55223212,55264938,55538218,56215282,56400063,56536360,56566111,56583048,56590595,56859018,57163420,57277690,57328828,57450184,57697018,57717228,57771625,58085691,58121962,58191730,58233798,58822716,59011339,59069983,59337945,59507178,59660552,60023836,60084634,60653231,60729083,60866842,61130601,61275058,61844808,62133996,62144538,62174332,62292831,62295151,62310491,62316658,62371563,62503051,62641115,62776540,62863834,63293808,63499715,63549663,63603405,63655929,63794812,64223338,64315258,64532338,64631457,64674211,64722363,65112063,65914051,65969674,66355071,66511420,66671099,66686143,66973114,67118121,67223218,67292530,67437663,67746111,67843632,67900191,67908714,68187994,68284763,68454283,68542396,68596104,68674859,68733228,68781868,69004831,69264431,69325950,69359163,69575409,69830076,69890554,70240540,70292936,70428651,70762858,70853251,70863403,71189691,71189768,71205534,71413091,71477445,71674559,71686834,71815930,71892345,72480394,72704571,72774525,73343740,73472698,73894828,73947680,74324083,74432371,74664172,74779498,74917691,75169338,75203740,75331848,75653692,75663071,75823420,76199658,76205915,76242608,76324086,76520668,76598331,76685168,76712092,77170617,77189098,77214765,77533276,77626160,78057251,78201571,78560265,78863068,79079553,79144492,79148914,79182591,79293082,79416754,79771711,79813704,79902525,80088489,80500191,80559898,80634883,80751036,80808730,81578458,81611315,81877643,82027563,82131551,82362416,82374538,82437515,82727203,83112063,83191140,83384554,83665183,83797616,84262911,84288648,84305983,84321683,84385690,84673281,84748329,84865018,84910139,84965128,85229360,85312732,85578911,85586125,85726252,85772934,86137595,86179116,86270814,86566139,86692252,87003868,87300179,87329430,87396063,87509962,88012488,88180595,88555845,88734651,88737216,88765451,89528456,89609788,89790417,89808515,90204063,90214595,90244488,90287491,90620315,90712042,90988104,91447098,91657594,91662891,91706683,91878940,92150851,92391730,92643515,92657718,92891578,93064603,93151392,93248511,93277471,93317163,93524125,93624691,93698098,93728571,93774394,93853115,93933951,94142325,94162930,94272318,94275771,94280698,94435451,94459568,94685163,94824729,95310514,95585769,95861915,95883030,95967921,96111231,96394859,96467219,96662915,96721653,96803336,96970476,97123371,97299071,97405978,97411420,97727578,97846618,97927468,97933578,98130111,98543865,98578330,98751343,98925018,99014049,99131451,99328031,99378211,99829368,...,4216226092903707148427704077864567193918569799616544995461547062241097332690161767798839490432100627891950516101953286801182749259664677666062695967549561970173458353029249365752665912637148353834813102861326677441570889833644085146662585854491823103661387767026804407418062777503724396178899731822245210259139539454396853622227830549939132635590412984490437912450304768151105225930697143155023000864930882511142064831652976876697816968150983701986560562744855342695124987780805470790550858292168953347756317532380546886923564119613923237060305899106776933244490589869745016775216635929483690674577390703561617704515404482112612632960235344349806021444079909643450763833647939957085777818309982402926557286101346021916021437331921320052190622982540419688156394074326696506522367393706120810701580706982321019628147523324861980815729892005354066801374067951176453150901499005995232281130608924688317794907674523773120679118807662401857386953795059016427711216650529153734748127970041987412854493629742217659669084216652169898521633569341294530691736406461841430576075738109381383392881308509856715582759793971275307442007514494932899756598542729159492263453703005821845195857361562442205619752316526664768645860574983054209876253895580284146601502318296298966366416400601715126065884914995405324042234702715227697207374195870118856605623349842474011060301671414140258260171044744406238473075513375105495234206027632783115231860971040770305239359827921799501039659315642172933543997550424838195868077779175782304803725713137187693944484061232969439760187742031832513719055354582835974057075720564613042881305883663408107687925071397848405366512502970800179165505641933201609903248912202144246309876575087172047879520315114861870293799032416791767782482567513830159085121952678845542618339637084443491499248859809907779859250149992276609644069271474811694141687756648339501760094063347068201373181802393197733606748604890012479088716792925879083526405465794811315243433132288932873984983334559360154562847014875411623717181689073289158131638829862039950039090283209022836338232615507204279466256540795101057597382219820878781229318167496815964046297679645408668375329121236593869230000287255444157402209402941259024293378417164841734254127709288050001926605900799686931450750369750111821869670432806738647523188083091789548195798840905106709094198896310216006106369466852003799309394848942660105638687377622573930573556900755468532013547802878717219274210755099768506510300125966506539744982632707449119729503786120932471982068878862034148826987}
15982 20615991309915330836594660203614964844536626577754716918865644821: {175681,223622,319460,367057,383352,431271,447188,638840,718695,766608,862434,939457,1212884,1370582,1603981,1942118,2132342,2170424,2322422,2441727,2512358,2613668,2734957,2828737,3016081,3270662,3669517,3756884,3948481,4356807,4517588,4873681,4968422,5156342,5186675,5517037,5656484,6093782,6144215,6161828,6224010,6247981,6414308,6638944,6702481,6751352,7373058,7468812,7586198,7595271,7875757,8055181,8769997,8777450,8845035,9214417,9434704,9807542,10009837,10359638,10449217,10532940,10543382,10614042,10947874,10974097,11235136,11311544,11437028,11642822,11825558,12061268,12274957,12372902,12447181,12639528,12725487,13100678,13303981,13307348,13644998,13984237,14219469,14426084,14560395,15046484,15090182,15163597,15170468,15414481,15531088,15639820,15789908,15986535,16246081,16303551,16411537,16704998,17052304,17070481,17411595,17472474,17717847,18024747,18050257,18131437,18536257,18572368,18662822,18767784,18858817,19016918,19183842,19243988,19370438,19489748,19716207,19858148,19899181,20251718,20603222,20716628,20848717,20893407,20893914,20927377,21084068,21092675,21113757,21120824,21129398,21632077,21654278,21818084,21871352,22342600,22428884,22485457,22526198,22621304,22639681,23101035,23177197,23471675,23708391,23760927,23913782,24208303,24605271,24641104,24693517,24742628,25135425,25311210,25419515,25448967,25470884,25811857,25977878,26076884,26193335,26702871,26767981,26811120,26998624,27132481,27342422,27350317,27639757,27682118,27694527,27721242,28166010,28224275,28598528,28600184,28785997,28927981,28974548,29035142,29140417,29179527,29633581,29773837,29876102,29923125,30043744,30089144,30162510,30373452,30503418,30880502,31156835,31160557,31380758,31432002,31843117,31918000,32020791,32173344,32175207,32542982,32892171,32969675,33253057,33533558,33581607,33799212,33850287,33869130,34044481,34191062,34583290,34910367,35157111,35499158,35545508,35824742,35839095,35907750,36127072,36138068,36195012,36293581,36419437,36602007,36760952,36798038,36966308,37106497,37202703,37249035,37388202,37419050,37539181,37633407,37657895,37723537,37910948,38028884,38087702,38228368,38301600,38333377,38889062,38936017,39175057,39353581,39563610,39676628,39732304,39767617,39826477,40272799,40380884,40641207,40642956,40816081,40855040,41150615,41356071,41422623,41429222,41499948,41586758,42058502,42065857,42121837,42201184,42253268,42434795,42511681,42630927,42836708,42897997,42933543,43006914,43089300,43302884,43386104,43606081,43884884,44242838,44352671,44407981,44552582,44698842,44707238,44801675,44902860,45089857,45189474,45292954,45451981,45478358,45606097,45741908,45961920,46115137,46151735,46320548,46386395,46467181,46567117,46815697,46963981,47209681,47213871,47466422,47476332,47546023,47896384,47935981,48031597,48055047,48316717,48505357,48526838,48552337,48809367,48947847,49026048,49380738,49404700,49468011,49469315,49510167,50029478,50077835,50106817,50234084,50268911,50591917,50626502,50663723,50806484,50921754,51173707,51223947,51409297,51618215,51620077,51707160,51813638,51834788,52202983,52241617,52844822,52974308,53045137,53163181,53475063,53542868,53762010,53883432,54114207,54233677,54741158,54927937,54963757,55109067,55154304,55382082,55477715,55492417,55663674,55772984,56326742,56468557,56765495,56874795,56886481,56937428,57043981,57044823,57106477,57346144,57532570,57566017,57745297,58096081,58170555,58324177,58380481,58464397,58575277,58657681,58940675,59059981,59112397,59154747,59242177,59267917,59285640,59363178,59384504,59395537,59496337,59508087,60021591,60093402,60100237,60396481,60414884,60440977,60618861,60653391,60666448,60870097,61084388,61117478,61173037,61192657,61478317,61506319,61606081,61641428,61695181,61782481,61807958,61816897,61833997,61941858,62048592,62081857,62086484,62160877,62191981,62220518,62263352,62291047,62343181,62387137,62631782,62642084,62744607,62768582,62815681,62840017,62899597,62911297,62981624,63099181,63150481,63178118,63238016,63275437,63354817,63572435,63595981,63669457,63766081,63847981,63993302,64302783,64421675,64514412,64704220,64746068,64803302,64937798,64966868,65915367,65931050,65958884,66105807,66179607,66573258,66673142,66696345,66712282,66807567,66939395,67099522,67465862,67922890,68118594,68249754,68253398,68263508,69029015,69039084,69420152,69503271,69804666,69836991,69901028,70046271,70670450,70728810,70854327,71096678,71142768,71287271,71351702,71454275,71478998,71512143,71661035,71812730,71986742,72067114,72146535,72365451,72366038,72614228,72938468,72976952,73322914,73454847,73528395,73686584,73745702,73752567,73870262,74344487,74490902,74575690,75029795,75114087,75200084,75444064,75598982,75812024,76209542,76286922,76956304,77010927,77299478,77306010,77447588,77645064,77667495,77717915,77899958,78097671,78337399,78430288,78470675,78816111,78963927,78974159,79090118,79117260,79342904,79614591,79743515,80035614,80327274,81427238,81507468,82099071,82117142,82459744,82652122,82834818,82845328,82859384,82897407,82915478,83057108,83139275,83162084,83307327,84322923,84391744,84490982,84702919,84732884,84804540,84824918,84874572,85288527,85378598,85677995,85745130,85916535,85977335,85993242,86147702,86175276,86296484,86545527,86575842,86601658,86692742,86801318,86816084,87182943,87287595,87350697,87800675,87866170,87879158,88199702,88234074,88266451,88412678,88473428,88625078,88987210,89258822,89260767,89490828,89782982,89916884,90035754,90126951,90328148,90458176,90497231,90533588,90544952,90717398,91006447,91300263,91333862,91461472,91538198,91574002,91644304,91679675,91912587,91974274,92046518,92305631,92368535,92434600,92478884,92767212,92952422,93106768,93200994,93216807,93261498,93330215,93474987,93904868,94004675,94164810,94295751,94338422,94567115,94729238,94779275,94919588,94923782,94940712,95303260,95650835,95692218,95856460,95890115,96174278,96269462,96335007,96472887,96509303,96743222,96798507,96916595,96939428,97032700,97306982,98235062,98327078,98578835,98930615,98954511,98967158,99541507,99767130,99869318,...,5621634790538276197903605437152756258558093066155393327282062749654796443586882357065119320576134170522600688135937715734910332346219570221416927956732749293564611137372332487670221216849531138446417470481768903255427853111525446862216781139322430804881850356035739209890750370004965861571866309096326947012186052605862471496303774066585510180787217312653917216600406357534806967907596190873364001153241176681522753108870635835597089290867978269315414083659807123593499983707740627720734477722891937797008423376507395849231418826151897649413741198809035910992654119826326689033622181239311587566103187604748823606020539309483483510613647125799741361925439879524601018444863919942781037091079976537235409714801794695888028583109228426736254163976720559584208525432435595342029823191608161080935440942643094692837530031099815974420973189340472089068498757268235270867868665341326976374840811899584423726543566031697494238825076883202476515938393412021903614955534038871646330837293389316550472658172989623546225445622202893198028844759121726040922315208615788574101434317479175177857175078013142287443679725295033743256010019326577199675464723638879323017938270674429126927809815416589607493003088702219691527814099977405613168338527440378862135336424395065288488555200802286834754513219993873765389646270286970262943165594493491808807497799789965348080402228552187011013561392992541651297434017833473993645608036843710820309147961387693740319146437229066001386212420856230578058663400566450927824103705567709739738300950849583591925978748310625919680250322709110018292073806110447965409434294086150723841741178217877476917233428530464540488683337294400238887340855910935479870998549602858995079835433449562730506027086819815827058398709889055690376643423351773545446829270238460723491119516112591321998998479746543706479000199989702146192092361966415592188917008864452669013458751129424268497575736524263644808998139853349972118289057234505444701873954393081753657910843051910498646644446079146872750462686500548831622908918764385544175518439816053266718787044278697115117643487342939039288342054393468076796509626427838374972424223329087952061730239527211557833772161648791825640000383007258876536279203921678699057837889553122312338836945717400002568807867732915908601000493000149095826227243742318196697584110789052730927731787873475612125598528413621341475159289136005065745859798590213474184916503496765240764742534340624709351397070504956292365614340133024675347066834622008719659976843609932159639338381494576629309425171816045531769316}
15983 20706218192180460989098487337290741678717284900699640518075655953: {335433,399325,479190,511136,558985,575028,670782,798550,958260,1022144,1149912,1293651,1516105,1819326,1899121,2055873,2282137,2713030,2913177,3198513,3255636,3267085,3483633,3768537,3862078,3920502,4696105,4905993,5635326,5646985,5809076,5907433,6776382,7070605,7452633,7702285,7734513,7856941,8017885,8255366,8298680,8430673,8439190,8484726,9140673,9242742,9280777,9336015,9621462,9728953,9830744,9897601,9958416,10127028,10327537,11059587,11203218,11379297,11639713,11793380,12404017,12418681,12719281,12845222,13166175,13550473,13589702,14043920,14139430,14152056,14296285,14314777,14337613,14506657,14711313,14920766,15011617,15076585,15539457,15799410,15815073,15921063,15954721,16250822,16421811,16464382,16634185,16852704,16967316,17142073,17155542,17201953,17464233,17738337,18032605,18091902,18374317,18480721,18559353,18808105,18920557,18959292,18963085,19137433,19390633,19413860,19549775,19651017,19712737,19737385,19793641,19961022,20467497,21315380,21336241,21560966,21577657,21639126,21681241,21738068,22196662,22569726,22635273,22755702,23215460,23296632,23459730,23623796,23684862,24021901,24032996,24054985,24362185,24439837,24822685,25023712,25025161,25044337,25057497,25228502,25578456,25895785,25933897,25946737,26011646,26208711,26288276,26328001,26355085,26401030,26674273,26729581,26782486,27272605,27339190,27699542,27857876,27858552,27928250,27994233,28036105,28151676,28276630,28345537,28525377,28775763,28847521,28855777,28865982,29009662,29055657,29234622,29787222,30309193,30377577,30596318,30801380,30868441,30904833,30928285,31074942,31094998,31340871,31439881,31611188,31626102,31681236,31694097,31838605,32165833,32481417,32596105,32636006,32727126,32807028,33449822,33513900,33620077,33643326,33748280,33789297,33931956,34308313,34526797,34527097,34681321,34765766,34954081,35098801,35527453,35603828,35748160,35750230,35870673,36206473,36218185,36504422,36581281,36745657,36840457,36858518,36926036,36961656,37113942,37554680,37611430,37962841,37966815,38206326,38632297,38906036,38966817,39115326,39718381,39897500,40064461,40216680,40290097,40339057,40394653,40497936,40671224,41013633,41362057,41523177,41581863,41702881,41909336,42194221,42249015,42408062,42694388,42897792,42900276,43461822,43552713,43553366,43790113,43856228,44026921,44076086,44431885,44598493,44775476,44814153,44816182,44944406,45065616,45133716,45158840,45172585,45243765,45560178,45755127,45951190,46207885,46320753,46547156,46876148,47071137,47148003,47388685,47536105,47667373,47785460,47877000,48039841,48260016,48801361,48802676,48814473,48876217,49595785,49603604,49665380,49850936,49858273,50123881,50177876,50300337,50476105,50533417,50596982,50698818,50803695,51068800,51286593,51751213,51874935,51886942,51905017,51961441,52751480,52816585,53083142,53248737,53318262,53339761,53545885,53576281,53737113,53861625,53968177,54128605,54188276,54190608,54207102,54232630,54292518,54480433,54856105,54904657,55108921,55141428,55197057,55230164,55333264,55449462,56082303,56128575,56841236,56866422,56948881,57043326,57064633,57131553,57177385,57240217,57244724,57342552,57452400,57900685,58060222,58333593,59015881,59222953,59345415,59514942,59598456,59677417,59870480,60092198,60111577,60123382,60252632,60571326,60648577,60736801,60742633,60964434,61264141,61282560,61755875,62072126,62097542,62143833,62184958,62249922,62318413,62380137,62792605,62816473,62840941,62951828,63087753,63301776,63379902,63508105,63854833,63898801,64073396,64255062,64475761,64510371,64633950,64793485,64954326,65079156,65263796,65368064,65397958,65827326,65840984,65957348,66013556,66217885,66335521,66364257,66679657,66828873,66928585,67048263,67060857,67336766,67354290,67784211,67873681,67895672,67939431,68217537,68298596,68360182,68612862,68626502,68942880,69044902,69201337,69425041,69480822,69641137,69716230,69989713,70188766,71171785,71199633,71214498,71300084,71682680,71844576,71859302,71923741,72016681,72138097,72152276,72489662,72501961,72790257,72994057,73478756,73539072,73679881,73842776,74071107,74107050,74218232,74230630,74293622,74644057,75044217,75351126,75450913,75518605,75833060,75939753,76059764,76209726,76355485,76382631,76429897,76456441,76832278,77051785,77560740,77608105,77720457,77752182,77829190,78302605,78656281,78718166,78727030,78793117,78872996,79047520,79119142,79150904,79226833,79267233,79344116,79461462,80028788,80124536,80135821,80188766,80314302,80643015,80667862,80715073,80825148,80871188,80880275,80932585,81161197,81208585,81468422,81632617,82111737,82141993,82448605,82589144,82713598,82731456,82792477,82855177,83073123,83290742,83495511,83577086,83659476,83731537,84035953,84280993,84332461,84490113,84706297,84931297,85329385,85406142,85737044,86019216,86298855,86775190,87088861,87240457,87376285,87524377,87697561,87887156,88141076,88214317,88239476,88549681,88764344,88899601,88928460,89044767,89052097,89076756,89419993,89538541,89695366,89732233,90061297,90140103,90622326,90767785,90824792,90999672,91173085,91221190,91626582,91676217,92052112,92108230,92136481,92462142,92671028,92711937,92882662,92912787,93072888,93095473,93115988,93129726,93320881,93330777,93395028,93710006,93947673,93963126,94000105,94152873,94209542,94241881,94289257,94305080,94363921,94472436,94728013,94765030,94767177,94857024,95249521,95349524,95989953,96195380,96487268,96733681,96771618,96809485,97056330,97119102,97204953,97406697,97450302,97762081,97939796,98037860,98336756,98545382,98896575,98938326,99178630,99852721,99859887,99916393,99985537,...,8432452185807414296855408155729134387837139599233089990923094124482194665380323535597678980864201255783901032203906573602365498519329355332125391935099123940346916706058498731505331825274296707669626205722653354883141779667288170293325171708983646207322775534053608814836125555007448792357799463644490420518279078908793707244455661099878265271180825968980875824900609536302210451861394286310046001729861765022284129663305953753395633936301967403973121125489710685390249975561610941581101716584337906695512635064761093773847128239227846474120611798213553866488981179739490033550433271858967381349154781407123235409030808964225225265920470688699612042888159819286901527667295879914171555636619964805853114572202692043832042874663842640104381245965080839376312788148653393013044734787412241621403161413964642039256295046649723961631459784010708133602748135902352906301802998011990464562261217849376635589815349047546241358237615324803714773907590118032855422433301058307469496255940083974825708987259484435319338168433304339797043267138682589061383472812923682861152151476218762766785762617019713431165519587942550614884015028989865799513197085458318984526907406011643690391714723124884411239504633053329537291721149966108419752507791160568293203004636592597932732832801203430252131769829990810648084469405430455394414748391740237713211246699684948022120603342828280516520342089488812476946151026750210990468412055265566230463721942081540610478719655843599002079318631284345867087995100849676391736155558351564609607451426274375387888968122465938879520375484063665027438110709165671948114151441129226085762611767326816215375850142795696810733025005941600358331011283866403219806497824404288492619753150174344095759040630229723740587598064833583535564965135027660318170243905357691085236679274168886982998497719619815559718500299984553219288138542949623388283375513296679003520188126694136402746363604786395467213497209780024958177433585851758167052810931589622630486866264577865747969966669118720309125694029750823247434363378146578316263277659724079900078180566418045672676465231014408558932513081590202115194764439641757562458636334993631928092595359290817336750658242473187738460000574510888314804418805882518048586756834329683468508255418576100003853211801599373862901500739500223643739340865613477295046376166183579096391597681810213418188397792620432012212738933704007598618789697885320211277374755245147861147113801510937064027095605757434438548421510199537013020600251933013079489965265414898239459007572241864943964137757724068297653974}
15984 20796836876346489887490262351130027737746218394657294926967536604: {175703,207623,351362,447244,638920,718785,734114,749039,766704,862542,894376,971303,1006173,1129823,1197825,1277680,1319783,1437390,1533216,1541039,1635743,1698839,1724868,1878914,2425768,2641439,2728989,2741164,2860343,3047663,3110039,3207962,3328103,3514703,3884236,3948983,4041839,4069545,4264684,4340848,4644844,4883454,4905023,4966439,5024716,5227336,5273039,5469914,5657474,5793117,5880753,5975183,6032162,6248783,6541324,6733583,6884663,7095839,7261345,7339034,7513768,7547039,7607063,7896962,8086103,8354663,8452989,8592839,8601901,8713614,8800823,9035176,9126863,9245183,9333839,9747362,9936844,10011143,10164573,10312684,10362839,10373350,11034074,11312968,11324063,11439983,11526839,12104039,12187564,12288430,12305303,12323656,12383049,12448020,12477503,12495962,12658785,12727089,12828616,12906743,13049423,13248839,13277888,13334183,13404962,13502704,13674839,13731503,13864113,14324543,14432193,14521439,14577623,14741725,14746116,14937624,15172396,15190542,15444383,15751514,15833303,16110362,16193039,16275863,16331039,16606439,16804827,17100143,17236823,17346023,17539994,17554900,17564039,17690070,17754383,17917223,17971439,18160943,18242039,18428834,18869408,19102583,19267833,19449839,19615084,20019674,20384553,20719276,20720303,20772839,20851583,20898434,21035039,21065880,21086764,21087383,21209145,21228084,21478943,21895748,21948194,22024103,22381149,22411343,22470272,22623088,22796783,22874056,22976039,23285644,23486039,23651116,23699115,23739839,23815823,24122536,24267325,24376233,24549914,24696573,24696983,24745804,24797063,24894362,25245839,25279056,25370039,25450974,25667303,25733313,25914143,26201356,26478839,26607962,26614696,26644225,26771783,26917823,27137853,27160583,27172585,27289996,27378383,27643703,27812039,27968474,28171439,28438938,28600343,28719023,28852168,28932143,28955783,29019325,29120790,29285903,29529745,29661263,29778143,29941533,30041245,30092968,30180364,30327194,30340936,30359543,30567623,30828962,31062176,31165103,31279640,31325039,31393463,31439039,31579816,31973070,32051183,32118839,32276423,32341449,32458689,32492162,32523263,32607102,32791439,32823074,32860345,33125039,33294993,33409996,33854589,33940223,34104608,34133553,34140962,34180463,34822345,34823190,34944948,34981439,35189595,35303039,35409839,35435694,35527293,35559023,35587321,35729039,35792663,36049494,36100514,36262874,36571439,36670669,36884039,36925583,37072514,37144736,37256783,37298039,37325644,37503839,37535568,37717634,37842753,38033836,38367684,38487976,38501725,38740876,38961983,38979496,39017469,39061703,39432414,39513985,39557303,39601545,39616439,39716296,39798362,40173729,40503436,40552823,40937543,41008785,41109623,41206444,41433256,41549313,41584223,41697434,41786814,41787828,41854754,41892375,41979023,42147143,42168136,42185350,42227514,42241648,42258796,42258863,42296039,42414945,42518423,42536903,42849839,43264154,43298973,43305839,43308556,43396439,43514493,43619569,43636168,43742704,43792703,43851933,43935839,43989383,44114039,44326823,44432783,44504785,44520863,44643839,44680833,44685200,44857768,44906039,44970914,45052396,45242608,45279362,45732983,45894477,46157545,46202070,46354394,46474823,46491503,46612413,46642497,46938839,46943350,47217503,47416782,47439153,47477663,47510039,47521854,47827564,47959943,48039623,48340583,48387839,48416606,48632545,48954009,49090689,49134143,49164839,49210542,49282208,49317839,49387034,49485256,49500383,49802063,49871875,49891943,50115383,50174733,50270850,50439839,50464989,50622420,50702423,50839030,50897934,50904863,50941768,50948039,51375839,51544943,51623714,51629063,51768623,51796439,51955756,52004039,52100303,52148649,52153768,52305263,52386670,52416793,52721053,52789823,52856303,53185703,53250983,53367985,53405742,53535962,53600039,53622240,53625345,53766023,53997248,54131423,54264962,54539039,54660839,54684844,54700634,54756633,54820285,54985703,55279514,55287777,55364236,55389054,55398143,55442484,55514183,55670913,55778039,55812143,55969345,56248943,56332020,56413703,56417145,56448550,56479103,56609039,56624161,56801783,57086039,57197056,57200368,57241439,57309489,57516623,57571994,57576983,57610861,57696839,57766223,57795839,57815543,57855962,57942839,57949096,58070284,58183945,58280834,58344863,58359054,58373039,58391783,58401143,58540583,58595185,58669103,58672989,58696439,58787039,58805063,59027663,59097839,59158823,59253863,59267162,59288183,59408713,59415743,59547674,59591303,59731825,59752204,59846250,59875309,59947703,60073463,60087488,60112343,60178288,60296183,60325020,60341423,60416183,60482783,60563303,60650039,60671543,60721439,60746904,60882623,60965039,61003345,61006836,61086503,61185743,61211903,61328039,61497383,61564703,61708223,61761004,61784039,61795583,61801343,61830023,61852823,61881143,61953839,62004505,62081725,62100503,62132303,62179463,62205383,62210543,62313670,62321114,62361623,62405543,62458343,62505503,62514839,62528783,62583839,62716439,62722345,62761516,62829623,62841839,62853983,62864004,62913623,62971463,63113423,63207839,63302039,63311063,63317039,63325943,63402839,63421823,63534503,63585839,63612093,63646439,63652103,63665039,63668663,63686234,63686303,63723839,63734423,63770303,63779039,63781463,63809063,63814943,63832463,63836000,63841439,63843503,63856439,63857903,63860183,64041582,64346688,64350414,64612429,64940953,65085964,65192733,65330049,65784342,65939350,66114129,66506114,67067116,67163214,67224273,67416609,67598424,67700574,67735345,67738260,68088962,68340267,68382124,68926785,69037705,69166580,69257041,69820734,70108969,70314222,70998316,71051545,71091016,71555905,71649484,71678190,71815500,72254144,72265501,72276136,72390024,72587162,72838874,73204014,73521904,73596076,73932616,74212994,74405406,74498070,74776404,74838100,75078362,75266814,75315790,75447074,75821896,75895473,76048227,76057768,76175404,76456736,76603200,76666754,77668801,77778124,77830413,77872034,78350114,78689785,78707162,79127220,79353256,79464608,79471693,79535234,79624713,79652954,79977393,80091745,80545598,80761768,81282414,81285912,81310653,81348945,81438777,81579745,81632162,81710080,82301230,82446685,82516945,82712142,82826557,82845246,82858444,82999896,83173516,83174193,84117004,84131714,84243674,84248593,84402368,84506536,84869590,85023362,85261854,85299633,85373245,85564989,85673416,85795994,85867086,86013828,86178600,86605768,86772208,87090333,87212162,87769768,88485676,88705342,88815962,89001409,89105164,89125105,89272413,89397684,89414476,89603350,89805720,90138297,90179714,90185073,90190345,90378948,90585908,90856989,90903962,90956716,91212194,91446651,91483816,91848445,91923840,92230274,92303470,92641096,92772790,92934362,93108189,93134234,93146313,93277437,93333097,93374883,93631394,93715153,93927962,94419362,94427742,94791325,94932844,94952664,95069853,95074705,95092046,95792768,95871962,96063194,96110094,96382593,96633434,96640621,96950925,97010714,97053676,97104674,97431489,97618734,97895694,98052096,98096937,98591245,98740989,98761476,98809400,98936022,98938630,99020334,99180145,...,12648678278711121445283112233593701581755709398849634986384641186723291998070485303396518471296301883675851548305859860403548247778994032998188087902648685910520375059087748097257997737911445061504439308583980032324712669500932255439987757563475469310984163301080413222254188332511173188536699195466735630777418618363190560866683491649817397906771238953471313737350914304453315677792091429465069002594792647533426194494958930630093450904452951105959681688234566028085374963342416412371652574876506860043268952597141640660770692358841769711180917697320330799733471769609235050325649907788451072023732172110684853113546213446337837898880706033049418064332239728930352291500943819871257333454929947208779671858304038065748064311995763960156571868947621259064469182222980089519567102181118362432104742120946963058884442569974585942447189676016062200404122203853529359452704497017985696843391826774064953384723023571319362037356422987205572160861385177049283133649951587461204244383910125962238563480889226652979007252649956509695564900708023883592075209219385524291728227214328144150178643925529570146748279381913825922326022543484798699269795628187478476790361109017465535587572084687326616859256949579994305937581724949162629628761686740852439804506954888896899099249201805145378197654744986215972126704108145683091622122587610356569816870049527422033180905014242420774780513134233218715419226540125316485702618082898349345695582913122310915718079483765398503118977946926518800631992651274514587604233337527346914411177139411563081833452183698908319280563226095497541157166063748507922171227161693839128643917650990224323063775214193545216099537508912400537496516925799604829709746736606432738929629725261516143638560945344585610881397097250375303347447702541490477255365858036536627855018911253330474497746579429723339577750449976829828932207814424435082425063269945018505280282190041204604119545407179593200820245814670037437266150378777637250579216397384433945730299396866798621954950003678080463688541044626234871151545067219867474394916489586119850117270849627068509014697846521612838398769622385303172792146659462636343687954502490447892138893038936226005125987363709781607690000861766332472206628208823777072880135251494525202762383127864150005779817702399060794352251109250335465609011298420215942569564249275368644587396522715320127282596688930648018319108400556011397928184546827980316916062132867721791720670702266405596040643408636151657822632265299305519530900377899519619234947898122347359188511358362797415946206636586102446480961}
15985 20887849050490619898846830547160915335427912800803638474316062442: {527043,559055,670866,782579,798650,958380,1022272,1101171,1117970,1150056,1293813,1341564,1597100,1916520,2044288,2122547,2156085,2299824,2587302,2697071,2818371,3032210,3426455,3638652,3798242,4111746,4564274,4573919,4811943,4855295,5330855,5426060,5806055,5826354,6280895,6397026,6486359,6511272,6534170,6574547,6967266,7325181,7537074,7724156,7841004,7905779,8176655,8204871,8398799,8486211,8781287,9048243,9392210,9811986,9898847,10677623,10783199,10968191,11008551,11225039,11270652,11293970,11618152,11723459,11814866,11845443,12205271,12421055,12768503,12890855,13009091,13070421,13552764,14141210,14215667,14621043,14676623,14905266,15234455,15302003,15404570,15469026,15560025,15713882,15743891,16024391,16035770,16495559,16510732,16551111,16597360,16861346,16878380,16940759,16969452,17081087,17144231,17831747,18111239,18281346,18432645,18485484,18561554,18672030,18743943,18965495,19242924,19457906,19661488,19795202,19843511,19916832,20014799,20107443,20225423,20254056,20655074,21107219,21338927,21943625,22119174,22309103,22406436,22758594,22785813,23176499,23279426,23287859,23296871,23586760,23627271,23846387,24130919,24165543,24518855,24808034,24837362,25245647,25438562,25690444,25899095,26125343,26282003,26309991,26331347,26332350,26358455,26535105,26548319,26677631,26848007,27100946,27179404,27315959,27369685,27632339,27643251,27651839,28033463,28087840,28278860,28304112,28592570,28629554,28675226,29013314,29107055,29386727,29422626,29563895,29841532,30023234,30029511,30153170,30649151,30872327,30932255,31078914,31347651,31598820,31630146,31842126,31909442,32241347,32501644,32751695,32843622,32922291,32928764,32997299,33268370,33499271,33676979,33705408,33934632,34107059,34112495,34284146,34311084,34403906,34685687,34751759,34928466,35476674,35856959,35938703,36065210,36183804,36211031,36254099,36374207,36748634,36824871,36897119,36961442,37118706,37156223,37341543,37569971,37616210,37725455,37841114,37918584,37926170,38176461,38181647,38274866,38781266,38827720,39099550,39250547,39302034,39368999,39425474,39474770,39587282,39911943,39922044,40602239,40804751,40934994,41655863,41708183,41708879,41762495,41952711,42630760,42658407,42672482,43121932,43155314,43232423,43278252,43299599,43362482,43476136,43614119,43681185,44393324,44574047,44611367,44777927,45139452,45270546,45490791,45511404,45519359,45634547,45656351,46243443,46430920,46593264,46657055,46919460,47158247,47247592,47369724,47542295,47673431,47959605,48043802,48065992,48109970,48426095,48576599,48724370,48738243,48879674,48882431,48910653,48941891,49234611,49285223,49645370,50047424,50050322,50088674,50114994,50457004,50586131,50629295,50705459,51156912,51211443,51508055,51791570,51867794,51893474,52023292,52223687,52234785,52417422,52576552,52656002,52710170,52802060,52823495,52907459,53153541,53348546,53459162,53564972,53691587,53920823,54074241,54135695,54150771,54394311,54545210,54678380,55399084,55608771,55715752,55717104,55856500,55988466,56072210,56303352,56315495,56553260,56576451,56600771,56691074,56956163,57050754,57551526,57695042,57711554,57731964,57839591,58019324,58111314,58469244,58884467,59148621,59574444,59615027,59697543,59721311,59784455,60618386,60755154,61192636,61271927,61358471,61602760,61736882,61809666,61856570,62149884,62189996,62204639,62546151,62680221,62681742,62690627,62782131,62879762,63005459,63222376,63241619,63252204,63278025,63317423,63341271,63362472,63388194,63677210,63758327,64010903,64257203,64331666,64433519,64691039,64896231,64944695,64962834,65192210,65272012,65454252,65614056,66344159,66550547,66899644,67027800,67174799,67240154,67286652,67303223,67456371,67496560,67578594,67863912,67882307,67919043,68356055,68471687,68616626,69053594,69054194,69205295,69303105,69362642,69434099,69531532,69531591,69649991,69908162,70197602,70415025,70666547,71054906,71125173,71207656,71282781,71416307,71496320,71500460,71675591,71741346,72412946,72436370,72587855,72624909,73008844,73162562,73491314,73680914,73717036,73815813,73852072,73923312,73943219,73973843,74021783,74080551,74227884,74690255,74964239,75109360,75222860,75406275,75780047,75925682,75933630,76258545,76346901,76412652,76664999,76798547,76883999,77201255,77264594,77435571,77812072,77933634,78230652,78451895,78580005,78803231,78997523,79436762,79791923,79795000,80048339,80108613,80128922,80303943,80433360,80580194,80678114,80725331,80789306,80995872,81060959,81305687,81342448,81357455,81397443,81729299,81734759,82027266,82050951,82359119,82724114,82865711,82919271,83046354,83083581,83163726,83405762,83818672,83833895,84327491,84388442,84498030,84672825,84816124,85110623,85388776,85477655,85795584,85800552,86357991,86458225,86783943,86923644,87076223,87105426,87106732,87421251,87538581,87580226,87712456,87909647,88053842,88152172,88257839,88502303,88747895,88863770,88889603,88900743,88911347,89196986,89321511,89550952,89561855,89628306,89632364,89769375,89888812,90131232,90267432,90317680,90345170,90487530,90710879,91120356,91409471,91510254,91729919,91902380,91995095,92415770,92641506,92667527,92705039,92824259,92957423,93094312,93470505,93481671,93547625,93700019,93752296,94142274,94253927,94296006,94298063,94454531,94777370,95072210,95219255,95334746,95529351,95570920,95754000,96062373,96079682,96156371,96474911,96520032,96525621,97222655,97334639,97485503,97602722,97605352,97628946,97752434,98676513,98909025,99191570,99207208,99330760,99640499,99701872,99716546,99759171,...,16864904371614828593710816311458268775674279198466179981846188248964389330760647071195357961728402511567802064407813147204730997038658710664250783870198247880693833412116997463010663650548593415339252411445306709766283559334576340586650343417967292414645551068107217629672251110014897584715598927288980841036558157817587414488911322199756530542361651937961751649801219072604420903722788572620092003459723530044568259326611907506791267872603934807946242250979421370780499951123221883162203433168675813391025270129522187547694256478455692948241223596427107732977962359478980067100866543717934762698309562814246470818061617928450450531840941377399224085776319638573803055334591759828343111273239929611706229144405384087664085749327685280208762491930161678752625576297306786026089469574824483242806322827929284078512590093299447923262919568021416267205496271804705812603605996023980929124522435698753271179630698095092482716475230649607429547815180236065710844866602116614938992511880167949651417974518968870638676336866608679594086534277365178122766945625847365722304302952437525533571525234039426862331039175885101229768030057979731599026394170916637969053814812023287380783429446249768822479009266106659074583442299932216839505015582321136586406009273185195865465665602406860504263539659981621296168938810860910788829496783480475426422493399369896044241206685656561033040684178977624953892302053500421980936824110531132460927443884163081220957439311687198004158637262568691734175990201699352783472311116703129219214902852548750775777936244931877759040750968127330054876221418331343896228302882258452171525223534653632430751700285591393621466050011883200716662022567732806439612995648808576985239506300348688191518081260459447481175196129667167071129930270055320636340487810715382170473358548337773965996995439239631119437000599969106438576277085899246776566751026593358007040376253388272805492727209572790934426994419560049916354867171703516334105621863179245260973732529155731495939933338237440618251388059501646494868726756293156632526555319448159800156361132836091345352930462028817117865026163180404230389528879283515124917272669987263856185190718581634673501316484946375476920001149021776629608837611765036097173513668659366937016510837152200007706423603198747725803001479000447287478681731226954590092752332367158192783195363620426836376795585240864024425477867408015197237579395770640422554749510490295722294227603021874128054191211514868877096843020399074026041200503866026158979930530829796478918015144483729887928275515448136595307948}
15986 20979256409906272962521940136868416282098504501373728842716376931: {207649,351406,415246,702724,894488,1006299,1066573,1161649,1197975,1256653,1277840,1437570,1468228,1498078,1533408,1541233,1676955,1725084,1730593,1788752,1942606,1996375,2012346,2014093,2259646,2395650,2555360,2579149,2639566,2874780,3066432,3082078,3141613,3271486,3397678,3449736,3757828,3880953,4548315,4813453,4851536,5273713,5282878,5457978,5482328,5697363,5720686,5732173,5915053,6095326,6167619,6220078,6415924,6656206,6782575,6846411,7029406,7768472,7897966,8083678,8139090,8445133,8529368,8681696,8739531,9289688,9423649,9595539,9655195,9766908,9801255,9810046,9932878,10049432,10165883,10305649,10450899,10454672,10546078,10831393,10939828,11093293,11305611,11314948,11586234,11701873,11761506,11950366,11961613,12064324,12497566,13082648,13467166,13769326,14088315,14191678,14522690,14678068,14717979,15027536,15094078,15214126,15529933,15793924,15863149,16172206,16608673,16709326,16905978,16940955,17185678,17203802,17427228,17601646,17722299,18070352,18253726,18406513,18490366,18667678,19131949,19494724,19873688,20022286,20329146,20625368,20638415,20723149,20725678,20746700,20801953,21097975,21116449,21211815,21507949,22068148,22357899,22362913,22594573,22625936,22648126,22748653,22879966,22979233,23053678,23106855,23203539,23570823,23819149,24053655,24198049,24208078,24375128,24576860,24610606,24647312,24766098,24896040,24955006,24991924,25292019,25317570,25398433,25454178,25657232,25813486,26098846,26497678,26507053,26555776,26668366,26809924,27005408,27349678,27422019,27463006,27728226,27816013,27842331,28008045,28604449,28649086,28864386,28959949,29042878,29155246,29186859,29313649,29483450,29492232,29692803,29875248,30085453,30344792,30381084,30888766,30982611,31398049,31503028,31666606,32113055,32220724,32386078,32483233,32551726,32662078,33178761,33212878,33417649,33609654,33974255,34137891,34200286,34473646,34692046,34919139,35079988,35109800,35128078,35308333,35348575,35380140,35436493,35508766,35628193,35755633,35834446,35942878,36072973,36321886,36484078,36576973,36857668,36951949,37212051,37256043,37301915,37738816,37816813,38041619,38157843,38205166,38486449,38535666,38899678,39147373,39230168,39498525,39622573,39740653,40039348,40559149,40627055,40651419,40769106,40790413,41160955,41192353,41341643,41438552,41440606,41545678,41703166,41796868,42057743,42070078,42131760,42173528,42174766,42418290,42456168,42543649,42888855,42944331,42957886,43012839,43094449,43421473,43519971,43692013,43791496,43896388,43960753,44048206,44133939,44651053,44703649,44762298,44822686,44940544,44965549,45034851,45229755,45246176,45432433,45535393,45593566,45740449,45748112,45952078,46004483,46499149,46571288,46618371,46946593,46972078,47045233,47302232,47398230,47445219,47479678,47485549,47631646,47763189,47864163,48158893,48245072,48534650,48724813,48751283,48752466,49099828,49142449,49188493,49265433,49393146,49393966,49491608,49594126,49788724,49825549,49902555,50227633,50491678,50558112,50740078,50901948,51334606,51426219,51466626,51567949,51605859,51819373,51828286,52026913,52392699,52395949,52402712,52759153,52957678,53215011,53215924,53229392,53234353,53288450,53543566,53622433,53775649,53835646,53902415,54097815,54275706,54321166,54339949,54345170,54579992,54756766,54888049,54924013,55122951,55287406,55319579,55384993,55442163,55491655,55624078,55628173,55678059,55936948,56070433,56270449,56342878,56424315,56759149,56761671,56877876,56886733,56889255,57200686,57262573,57412299,57438046,57704336,57806893,57864286,57911566,57953953,58038650,58171899,58241580,58412449,58551949,58571806,58649325,58825549,58953051,59059490,59138211,59196493,59212155,59322526,59380923,59556286,59883066,60062113,60082490,60185936,60224653,60360728,60654388,60669613,60681872,60719086,60733873,60839533,61135246,61145713,61165549,61244173,61263649,61402491,61657924,61797133,61814449,61947119,62049313,62124352,62223949,62239393,62306699,62330206,62533153,62559280,62650078,62655949,62786926,62878078,63011953,63071255,63159632,63270253,63285827,63403633,63420193,63602893,63783073,63801613,63811873,63815149,63830449,63883693,63884449,63888049,63946140,64008723,64102366,64237678,64552846,64620563,64682898,64732971,64917378,64984324,65029115,65043723,65046526,65214204,65582878,65646148,65720690,66002575,66250078,66589986,66819992,66919463,66956215,67709178,67880446,67905819,68085563,68209216,68267106,68281924,68347975,68360926,69248855,69644690,69646380,69820625,69889896,69962878,70379190,70606078,70691575,70819678,70871388,71054586,71118046,71174642,71458078,71585326,72065703,72098988,72164955,72201028,72524155,72525748,73086555,73142878,73319511,73341338,73768078,73851166,74145028,74289472,74468055,74513566,74596078,74651288,74715179,75007678,75071136,75075483,75133011,75172491,75435268,75685506,76067672,76490795,76735368,76748399,76975952,77003450,77481752,77687355,77737495,77801691,77840211,77923966,77958992,78034938,78123406,78357083,78626133,78864828,78984003,78994003,79027970,79065255,79114606,79203090,79232878,79432592,79596724,80022819,80188743,80347458,81006872,81105646,81457523,81590015,81817815,81875086,82017570,82033259,82219246,82412888,82866512,83098626,83168446,83394868,83573628,83575656,83624555,83709508,83784750,83958046,83982699,84108315,84294286,84336272,84370700,84455028,84483296,84517592,84517726,84592078,84829890,85036611,85036846,85073806,85404683,85576131,85699678,86327289,86528308,86542563,86567331,86597946,86611678,86617112,86792878,86806307,86914415,87028986,87166971,87239138,87272336,87485408,87585406,87703866,87811283,87871678,87978766,88228078,88653646,88865566,89009570,89041726,89287678,89361666,89370400,89375575,89715536,89812078,89941828,90104792,90485216,90558724,90927579,91132731,91261055,91465966,91788954,92146295,92315090,92404140,92605323,92708788,92714499,92784855,92949646,92983006,93224826,93284994,93877678,93886700,94022613,94028575,94319643,94435006,94829483,94833564,94878306,94955326,95020078,95043708,95082291,95515815,95655128,95919886,96079246,96497499,96652787,96681166,96775678,96833212,97265090,97444251,97788315,97885931,97908018,98181378,98268286,98329678,98421084,98564416,98635678,98774068,98970512,99000766,99472163,99566519,99604126,99743750,99783886,...,25297356557422242890566224467187403163511418797699269972769282373446583996140970606793036942592603767351703096611719720807096495557988065996376175805297371821040750118175496194515995475822890123008878617167960064649425339001864510879975515126950938621968326602160826444508376665022346377073398390933471261554837236726381121733366983299634795813542477906942627474701828608906631355584182858930138005189585295066852388989917861260186901808905902211919363376469132056170749926684832824743305149753013720086537905194283281321541384717683539422361835394640661599466943539218470100651299815576902144047464344221369706227092426892675675797761412066098836128664479457860704583001887639742514666909859894417559343716608076131496128623991527920313143737895242518128938364445960179039134204362236724864209484241893926117768885139949171884894379352032124400808244407707058718905408994035971393686783653548129906769446047142638724074712845974411144321722770354098566267299903174922408488767820251924477126961778453305958014505299913019391129801416047767184150418438771048583456454428656288300357287851059140293496558763827651844652045086969597398539591256374956953580722218034931071175144169374653233718513899159988611875163449898325259257523373481704879609013909777793798198498403610290756395309489972431944253408216291366183244245175220713139633740099054844066361810028484841549561026268466437430838453080250632971405236165796698691391165826244621831436158967530797006237955893853037601263985302549029175208466675054693828822354278823126163666904367397816638561126452190995082314332127497015844342454323387678257287835301980448646127550428387090432199075017824801074993033851599209659419493473212865477859259450523032287277121890689171221762794194500750606694895405082980954510731716073073255710037822506660948995493158859446679155500899953659657864415628848870164850126539890037010560564380082409208239090814359186401640491629340074874532300757555274501158432794768867891460598793733597243909900007356160927377082089252469742303090134439734948789832979172239700234541699254137018029395693043225676797539244770606345584293318925272687375909004980895784277786077872452010251974727419563215380001723532664944413256417647554145760270502989050405524766255728300011559635404798121588704502218500670931218022596840431885139128498550737289174793045430640254565193377861296036638216801112022795856369093655960633832124265735443583441341404532811192081286817272303315645264530598611039061800755799039238469895796244694718377022716725594831892413273172204892961922}
15987 21071060657133697219629067266358467132694979404370384969011154622: {527109,622869,782677,878405,1054086,1118110,1341732,1565158,1597300,1835285,1916760,2044544,2156355,2202342,2235940,2247117,2300112,2587626,2683128,2913909,2984333,3018519,3194200,3389469,3593475,3833040,3959349,4088576,4245094,4312170,4599648,4623117,4697285,4797037,4907229,5096517,5174604,5394142,5636742,6064420,6797413,6852910,7277304,7463197,7596484,7665697,7924317,8019905,8128477,8186967,8223492,8581029,8793253,9128548,9142989,9147838,9283109,9330117,9386893,9623886,9710590,9984309,10544109,10661710,10852120,11447317,11612110,11652708,11846949,12125517,12208635,12561790,12619009,12722477,12794052,12972718,13022544,13068340,13149094,13674785,13854997,13934532,14143685,14650362,14715069,14899317,15015389,15074148,15080405,15090049,15448312,15553373,15682008,15811558,15819117,16353310,16409742,16797598,16972422,17379351,17389477,17562574,17642259,17925549,18047197,18096486,18259093,18347585,18436213,18746349,18784420,19623972,19742405,19797694,20020897,20200749,20241973,20653989,21212029,21287517,21328237,21355246,21566398,21784035,21784897,21936382,22017102,22416557,22450078,22541304,22587940,22641117,22821189,23236304,23446918,23629732,23690886,23849389,24027953,24258309,24368405,24410542,24842110,25063989,25308037,25358967,25537006,25778517,25781710,25805703,25933375,26018182,26140842,26402469,26551693,27105528,27380589,27585185,27735549,28001517,28282420,28431334,29041133,29242086,29353246,29400949,29810532,30033429,30073109,30316829,30468910,30493719,30604006,30721075,30809140,30938052,31060549,31088517,31104293,31120050,31239905,31427764,31487782,32048782,32071540,32282497,32711333,32843989,32991118,33001453,33021464,33102222,33194720,33512405,33722692,33756760,33881518,33938904,33972189,34162174,34288462,34319949,34326397,34580517,35663494,35861473,36222478,36258733,36312117,36562692,36865290,36901837,36915909,36970968,37123108,37149147,37344060,37432509,37487886,37930990,37976355,38181267,38317559,38430653,38485848,38720229,38882773,38915812,39148269,39322976,39325253,39378785,39574517,39590404,39687022,39746517,39833664,40002549,40029598,40214886,40275905,40450846,40508112,40749877,41024517,41194509,41310148,41372573,41389453,41592339,42214438,42677854,42883777,42973629,43296579,43305157,43564317,43732869,43849985,43887250,44038013,44225175,44238348,44609729,44618206,44812872,44864717,45378973,45517188,45571626,45741637,45852373,46072085,46333149,46352998,46458977,46558852,46575718,46593742,47173520,47254542,47499909,47688013,47692774,47757493,48052013,48261838,48331086,48579117,48827589,48993117,49037710,49291489,49616068,49674724,49819317,50049185,50414481,50491294,50546309,50877124,51300429,51380888,51710469,51798190,52038069,52246085,52250686,52564006,52619982,52662694,52664700,52692117,52716910,52815637,52823777,53070210,53096638,53263149,53355262,53696014,53751669,53914317,54201892,54291493,54358808,54482829,54631918,54726117,54739370,54870485,55264678,55286502,55303678,56066926,56175680,56557720,56608224,57185140,57259108,57307749,57350452,57803499,58026628,58214110,58349517,58467493,58773454,58845252,59127790,59655893,59683064,60046468,60059022,60306340,60676277,61153659,61298302,61374785,61744654,61864510,62157828,62160909,62235905,62318517,62334257,62526997,62554749,62695302,62832389,63105117,63197640,63260292,63262149,63627435,63684252,63724609,63818884,63915053,64436829,64482694,64815733,65003288,65319877,65503390,65687244,65844582,65857528,65994598,66072309,66519905,66536740,66559213,66998542,67143447,67234029,67311829,67353958,67410816,67796533,67869264,68155453,68214118,68224990,68310689,68390349,68480389,68568292,68622168,68807812,68928117,69290789,69371374,69503518,69856932,69921185,70458117,70881013,70953348,71097345,71219517,71440277,71447469,71713918,71877406,72013933,72111277,72130420,72367608,72422062,72508198,72748414,72801975,73128699,73497268,73649742,73794238,73922884,73952893,74089719,74090949,74237412,74312446,74352277,74391189,74460997,74683086,75139942,75232420,75450910,75649249,75682228,75737517,75789973,75817985,75837168,75852340,76110117,76352922,76363294,76475813,76549732,76687853,77001909,77072405,77199939,77562532,77655440,77742429,78199100,78501094,78604068,78737998,78841693,78850948,78949540,79174564,79436517,79823886,79844088,79932675,80315349,80753469,81204478,81230405,81413559,81481749,81517755,81609502,81653693,81869988,82057685,82135149,82162877,82931109,83311726,83416366,83417758,83436117,83524990,83698237,83905422,84302429,84514317,85261520,85316814,85344964,85352405,85612109,85801029,86157069,86243864,86310628,86376637,86464846,86556504,86599198,86599733,86724964,86796429,86867349,86952272,87057975,87228238,87333413,87362370,87480289,87857709,88589235,88786648,88799153,88983789,89148094,89222734,89334429,89555854,89824599,90042593,90123735,90251285,90278904,90541092,90657185,90922573,90981582,91022808,91038718,91078629,91269094,91312702,91350613,91702869,92486886,92681285,92861840,93186528,93314110,93360709,93495309,93838920,93975117,94180389,94294085,94316494,94317117,94495184,94739448,95084590,95211397,95346862,95452709,95698477,95919210,96087604,96131984,96153549,96219940,96356517,96503873,96829269,96852190,96887413,97024347,97153198,97336013,97376067,97448740,97476486,97569789,97759348,97764862,97821306,97883782,98374317,98469222,98570446,98581035,99290740,99375117,99415909,99495905,99884979,...,37946034836133364335849336700781104745267128196548904959153923560169875994211455910189555413888905651027554644917579581210644743336982098994564263707946057731561125177263244291773993213734335184513317925751940096974138008502796766319963272690426407932952489903241239666762564997533519565610097586400206892332255855089571682600050474949452193720313716860413941212052742913359947033376274288395207007784377942600278583484876791890280352713358853317879045064703698084256124890027249237114957724629520580129806857791424921982312077076525309133542753091960992399200415308827705150976949723365353216071196516332054559340638640339013513696642118099148254192996719186791056874502831459613772000364789841626339015574912114197244192935987291880469715606842863777193407546668940268558701306543355087296314226362840889176653327709923757827341569028048186601212366611560588078358113491053957090530175480322194860154169070713958086112069268961616716482584155531147849400949854762383612733151730377886715690442667679958937021757949869529086694702124071650776225627658156572875184681642984432450535931776588710440244838145741477766978067630454396097809386884562435430371083327052396606762716254061979850577770848739982917812745174847487888886285060222557319413520864666690697297747605415436134592964234958647916380112324437049274866367762831069709450610148582266099542715042727262324341539402699656146257679620375949457107854248695048037086748739366932747154238451296195509356933840779556401895977953823543762812700012582040743233531418234689245500356551096724957841689678286492623471498191245523766513681485081517385931752952970672969191325642580635648298612526737201612489550777398814489129240209819298216788889175784548430915682836033756832644191291751125910042343107624471431766097574109609883565056733759991423493239738289170018733251349930489486796623443273305247275189809835055515840846570123613812358636221538779602460737444010112311798451136332911751737649192153301837190898190600395865864850011034241391065623133878704613454635201659602423184749468758359550351812548881205527044093539564838515196308867155909518376439978387909031063863507471343676416679116808678015377962091129344823070002585298997416619884626471331218640405754483575608287149383592450017339453107197182383056753327751006396827033895260647827708692747826105933762189568145960381847790066791944054957325201668034193784553640483940950748186398603165375162012106799216788121930225908454973467896795897916558592701133698558857704843694367042077565534075088392247838619909758307339442883}
15988 21163263501990702439730731491473129544458929406701417600210902296: {271507,415298,462811,702812,830492,1405448,1581129,1604587,1677165,1699267,1788976,1996625,2012598,2133146,2323298,2347737,2395950,2513306,2555680,2794925,2829811,2875140,2936456,2996156,3017227,3066816,3082466,3110827,3303513,3353910,3450168,3461186,3577504,3577747,3764011,3881439,3885212,3949987,3992750,4024692,4028186,4042867,4519292,4791300,4967707,5110720,5158298,5279132,5427427,5610811,5749560,6132864,6164156,6283226,6367641,6468255,6523411,6542972,6795356,6899472,7157947,7515656,7580525,7609027,7761906,8058307,8091213,8455113,9040387,9096630,9495605,9626906,9703072,10101811,10279365,10547426,10565756,10716187,10915956,10964656,10978411,11394726,11410685,11441372,11464346,11587747,11830106,12190652,12335238,12440156,12538147,12710011,12831848,12967267,13309267,13312412,13394587,13517273,13565150,13692822,13721757,13735147,14058812,14435829,14565885,14581507,15253411,15420667,15536944,15671011,15795932,15992565,16167356,16252627,16278180,16335425,16335427,16500811,16890266,17058736,17363392,17418165,17479062,17976307,18138811,18579376,18842685,18847298,18947011,19191078,19310390,19348411,19459077,19533816,19602510,19620092,19723641,19865756,19907347,19986907,20098864,20331766,20611298,20778547,20901798,20909344,20936011,21092156,21093187,21662786,21719011,21879656,21975543,22186586,22611222,22629896,23033587,23172468,23263411,23403746,23480525,23523012,23717337,23873107,23900732,23923226,24128648,24529965,24614613,24995132,25196397,25458633,25674547,26165296,26343861,26779387,26852467,26934332,27144067,27144729,27538652,27723811,28176630,28234925,28383356,28893781,28940467,29011387,29045380,29294347,29356136,29435958,29505811,29537165,29696541,30055072,30188156,30414667,30428252,30760987,31059866,31105507,31448227,31584811,31587848,31726298,31925011,32032869,32344412,32349597,32734147,32904573,33025653,33217346,33418652,33675117,33811956,33881910,34059667,34371356,34407604,34711627,34854456,35034907,35170377,35203292,35353025,35420467,35444598,35536329,36140704,36183811,36507452,36615813,36813026,36936787,36980732,37263165,37309387,37335356,37556347,37740811,38263898,38305509,38351011,38511425,38672565,38989448,39027273,39211263,39284705,39747376,39845011,40044572,40089425,40604107,40658292,41250736,41276830,41446298,41451356,41493400,41603906,41861011,42141811,42153365,42195950,42232898,42309427,42423630,42647001,43015898,43247011,43355947,43627027,43863129,44029869,44136296,44715798,44725826,44958277,45111811,45189146,45251872,45296252,45497306,45628411,45703365,45759932,45906009,45958466,45985747,46107356,46213710,46403885,46407078,46680075,46987267,47141646,47231673,47282107,47525827,47563957,47638298,47959987,48007867,48073173,48103411,48107310,48341011,48396098,48416156,48576811,48644765,48670627,48750256,49153720,49181467,49221212,49294624,49486677,49488005,49532196,49592947,49653333,49792080,49910012,49983848,50043307,50177011,50584038,50635140,50796866,50822277,50908356,50922427,51051811,51243261,51314464,51432693,51626972,51637685,51814507,52197692,52222681,52634587,52995356,53014106,53111552,53336732,53495241,53619848,53810707,54010816,54150907,54333717,54448411,54522067,54699356,54844038,54926012,54993811,55172011,55242787,55297935,55456452,55523011,55632026,55684662,55922933,56016090,56036011,56231829,56532811,56630227,56877877,56896485,57076267,57107587,57170011,57208898,57298172,57625337,57688987,57728772,57837667,57919898,58085756,58198565,58310492,58373718,58414387,58442467,58627298,58719307,58828027,58966900,58984464,59121067,59303011,59385606,59506627,59530533,59631547,59750496,59851867,60044397,60113227,60170906,60320587,60322329,60433267,60674827,60676269,60689584,60760507,60762168,60928411,61031011,61071547,61230811,61517011,61645027,61734307,61777532,61821787,61873411,61965222,62020085,62093405,62383747,62427811,62542147,62796098,62807827,62832811,62869747,62953411,63006056,63141907,63152347,63193387,63321657,63333212,63346027,63432067,63596405,63609187,63646987,63698827,63714811,63812227,63847867,63872707,63880627,63890347,63895387,63896467,63898411,63902011,64016781,64226110,64441448,64772156,64966466,65103452,65324156,65830875,66357522,66425756,66835298,66927309,67219308,67752365,67948510,68275782,68357439,68400572,68545037,68947292,69384092,69529497,69838278,69863577,69890613,70159976,70219600,70256156,70616666,70697150,70760280,70872986,70881813,71017532,71256386,71481425,71511266,71539161,71573885,71668892,71688065,71885756,72145946,72392757,72496629,72533285,72643772,72968156,73153946,73556565,73715336,73903898,74424102,74512086,74603830,74792341,75058085,75382925,75463381,75477632,75633626,75736941,76083238,76315686,76410332,76972898,77071332,77688317,77697285,77799356,78294746,78298481,78376029,78460336,78846009,78929973,78994041,78997050,79075365,79245146,79481306,79605315,79644957,79773605,80032893,80078696,80544021,81118298,81254110,81302838,81538212,81580826,81947877,82109055,82321910,82384706,82683286,82847369,82877104,82881212,82897017,82929753,82955517,83091356,83170925,83406332,83593736,84100389,84115486,84140156,84263520,84347056,84349532,84836580,84912336,85087298,85710365,85777710,85888662,85915772,86009765,86025678,86188898,86842946,87039942,87321165,87384026,87582992,87792776,87921506,88096412,88160181,88267878,88299757,88691685,89302106,89407298,89524596,89645372,89881088,89931098,90069702,90088533,90163025,90459510,90492352,90531353,90864866,91040761,91070786,91187132,91480898,91496224,91871585,91904156,91947453,92008966,92403605,92616981,92796765,92998298,93142576,93236742,93356549,93738701,93893186,93944156,94040525,94042953,94090466,94602785,94604464,94796460,94815425,94890438,94959356,94971098,95263292,95526378,95687165,95728326,96317786,96490144,96724041,96948397,96953165,97069300,97449626,97502566,97504932,97748875,98199656,98255085,98284898,98376986,98530866,98563685,98686925,98766873,98786292,98787932,98968205,98983216,98991897,99188252,99577448,99651098,99805110,...,50594713114844485781132448934374806327022837595398539945538564746893167992281941213586073885185207534703406193223439441614192991115976131992752351610594743642081500236350992389031990951645780246017757234335920129298850678003729021759951030253901877243936653204321652889016753330044692754146796781866942523109674473452762243466733966599269591627084955813885254949403657217813262711168365717860276010379170590133704777979835722520373803617811804423838726752938264112341499853369665649486610299506027440173075810388566562643082769435367078844723670789281323198933887078436940201302599631153804288094928688442739412454184853785351351595522824132197672257328958915721409166003775279485029333819719788835118687433216152262992257247983055840626287475790485036257876728891920358078268408724473449728418968483787852235537770279898343769788758704064248801616488815414117437810817988071942787373567307096259813538892094285277448149425691948822288643445540708197132534599806349844816977535640503848954253923556906611916029010599826038782259602832095534368300836877542097166912908857312576600714575702118280586993117527655303689304090173939194797079182512749913907161444436069862142350288338749306467437027798319977223750326899796650518515046746963409759218027819555587596396996807220581512790618979944863888506816432582732366488490350441426279267480198109688132723620056969683099122052536932874861676906160501265942810472331593397382782331652489243662872317935061594012475911787706075202527970605098058350416933350109387657644708557646252327333808734795633277122252904381990164628664254994031688684908646775356514575670603960897292255100856774180864398150035649602149986067703198419318838986946425730955718518901046064574554243781378342443525588389001501213389790810165961909021463432146146511420075645013321897990986317718893358311001799907319315728831257697740329700253079780074021121128760164818416478181628718372803280983258680149749064601515110549002316865589537735782921197587467194487819800014712321854754164178504939484606180268879469897579665958344479400469083398508274036058791386086451353595078489541212691168586637850545374751818009961791568555572155744904020503949454839126430760003447065329888826512835295108291520541005978100811049532511456600023119270809596243177409004437001341862436045193680863770278256997101474578349586090861280509130386755722592073276433602224045591712738187311921267664248531470887166882682809065622384162573634544606631290529061197222078123601511598078476939791592489389436754045433451189663784826546344409785923844}
15989 21255866661603524782483245955585032876923678315058457017309116499: {622947,878515,1038115,1054218,1229767,1245738,1565354,1756810,2108172,2236220,2569399,2683464,3018897,3130316,3194600,3199719,3335431,3484947,3526939,3593925,3670570,3745195,3769959,3833520,4089088,4312710,4404684,4471880,4494234,4600224,4623699,4856515,5030865,5175252,5191779,5366256,5649115,5827818,5968666,5989125,6037038,6042279,6388400,6576199,6598915,6778938,7186950,7187587,7666080,7705195,7737447,7918698,8177152,8178715,8490188,8494195,8624340,9199296,9246234,9394570,9424839,9594074,9814458,10193034,10331431,10349208,10629979,10788284,10970947,11227867,11273484,11642859,12128840,12423367,13207195,13594826,13644945,13705820,14219239,14301715,14343019,14440359,14554608,14926394,15192968,15238315,15331394,15550195,15555331,15747847,15821139,15848634,15960739,16039810,16256954,16373934,16446984,16640515,16945027,17085379,17092089,17162058,17196519,17208439,17573515,17586506,17639347,17745159,18257096,18285978,18295676,18381259,18502857,18566218,18660234,18773786,18927691,19144699,19192507,19247772,19397947,19421180,19744915,19801159,19968618,20209195,20347725,20539233,21088218,21112567,21323420,21585799,21689419,21704240,22419379,22894634,23224220,23305416,23693898,24251034,24417270,24449059,24525115,24832195,25053799,25123580,25238018,25335399,25444954,25588104,25686619,25945436,26045088,26136680,26218593,26298188,26365195,26739667,26854771,27206611,27349570,27639367,27709994,27869064,28270947,28287370,28786617,28866679,28965585,29300724,29403765,29430138,29798634,29875915,30030778,30148296,30160810,30180098,30465139,30497649,30641227,30896624,30916947,31106746,31243915,31352697,31364016,31451827,31623116,31638234,32494179,32500219,32706620,32715451,32819484,33168487,33279879,33595196,33632779,33667915,33916833,33944844,34115767,34321339,34423315,34758702,34778954,34967287,35105619,35125148,35284518,35479195,35540947,35851098,35884839,36094394,36192972,36306725,36383371,36518186,36595207,36695170,36759619,36872426,37492698,37568840,37735195,38035315,38215939,38435491,38619259,39028999,39247944,39484810,39579499,39595388,39671731,39733387,40041794,40079659,40305319,40401498,40430515,40483946,41307978,41377831,41718787,41719387,41773315,42264945,42424058,42575034,42656474,42710492,42964195,43009505,43132796,43422247,43568070,43569794,43625107,43735867,43806739,43872764,44004115,44034204,44153937,44833114,44900156,45082608,45175880,45282234,45530827,45634315,45642378,46217947,46225915,46451011,46472608,46475299,46589799,46669195,46893836,46917367,47259464,47381772,47589447,47698778,48055906,48516618,48588907,48736810,48821084,48894859,49647379,49684220,49826019,50055715,50127978,50142919,50616074,50717934,50822865,51074012,51557034,51563420,51611406,51814195,51866750,51924739,52036364,52281684,52804938,52920967,53103386,53166897,53360059,53596807,53705191,54204859,54211056,54609907,54761178,55130299,55170370,55219539,55471098,56003034,56386267,56534707,56564840,56620315,56862668,56970727,57086299,57199915,57395847,57634195,57869491,57981187,58082266,58484172,58706492,58801898,59038339,59245447,59621064,59704459,59736547,59999731,60066858,60146218,60520195,60633658,60937820,60987438,61208012,61389979,61442150,61526515,61618280,61679431,61865959,61876104,61915245,62121098,62169447,62177034,62208586,62240100,62342179,62387515,62405859,62479810,62855528,62864779,62975564,63293925,63349347,63635445,63923179,64097564,64143080,64449907,64500919,64523847,64533715,64564994,64995079,65247115,65422666,65687978,65982236,66002906,66042928,66204444,66244195,66389440,66433351,66670915,67024810,67073697,67088739,67445384,67513520,67763036,67783719,67877808,67944378,68042227,68245959,68324348,68374195,68576924,68639898,68652794,68657515,68937699,69161034,69227611,69320565,69610617,69667699,70016347,70044931,70068859,70502419,70712469,71326988,71434471,71457447,71622715,71711431,71722946,71951059,72160965,72165559,72444956,72517466,72594147,72607195,72624234,72888115,73021771,73125384,73144519,73708625,73730580,73803674,73831818,73941936,74246216,74298294,74672419,74688120,74865018,74975772,75861980,75876057,75952710,76195299,76362534,76635118,76818679,76861306,76971696,77221915,77440458,77765546,77831624,78097099,78296538,78645952,78650506,78757570,79149034,79166515,79180808,79203379,79374044,79493034,79521159,79667328,79680007,80005098,80059196,80429772,80551810,80901692,80965195,81016224,81379315,81499754,81655195,81750007,82049034,82173319,82266057,82389018,82620296,82745146,82778906,82799707,82886779,83032195,83184678,83448039,83526993,84024135,84313147,84428876,84953107,85355708,85500715,85767554,85813347,85924699,85947258,86184115,86451319,86593158,86610314,86730115,86879847,87121939,87128634,87130267,87465738,87560577,87699970,87774500,87820195,87940947,88011907,88076026,88247899,88450350,88476696,88771915,89078409,89219458,89236412,89586115,89625744,89729434,89857195,90095491,90256359,90631099,90757946,90804715,90956731,91034376,91143252,91210195,91483274,91704746,92144170,92666298,92705996,92917954,92947833,93117704,93127867,93130819,93151436,93187484,93356407,93729619,94194147,94347040,94509084,94763947,94999818,95376026,95385548,95512915,95514986,96104026,96252427,96339165,96368131,96499819,96523676,96662172,97158234,97249195,97449699,97655178,97750147,97799227,97889659,97986234,98075420,98582978,99232136,99349448,99379687,99536283,99638634,99890599,...,75892069672266728671698673401562209490534256393097809918307847120339751988422911820379110827777811302055109289835159162421289486673964197989128527415892115463122250354526488583547986427468670369026635851503880193948276017005593532639926545380852815865904979806482479333525129995067039131220195172800413784664511710179143365200100949898904387440627433720827882424105485826719894066752548576790414015568755885200557166969753583780560705426717706635758090129407396168512249780054498474229915449259041160259613715582849843964624154153050618267085506183921984798400830617655410301953899446730706432142393032664109118681277280678027027393284236198296508385993438373582113749005662919227544000729579683252678031149824228394488385871974583760939431213685727554386815093337880537117402613086710174592628452725681778353306655419847515654683138056096373202424733223121176156716226982107914181060350960644389720308338141427916172224138537923233432965168311062295698801899709524767225466303460755773431380885335359917874043515899739058173389404248143301552451255316313145750369363285968864901071863553177420880489676291482955533956135260908792195618773769124870860742166654104793213525432508123959701155541697479965835625490349694975777772570120445114638827041729333381394595495210830872269185928469917295832760224648874098549732735525662139418901220297164532199085430085454524648683078805399312292515359240751898914215708497390096074173497478733865494308476902592391018713867681559112803791955907647087525625400025164081486467062836469378491000713102193449915683379356572985246942996382491047533027362970163034771863505905941345938382651285161271296597225053474403224979101554797628978258480419638596433577778351569096861831365672067513665288382583502251820084686215248942863532195148219219767130113467519982846986479476578340037466502699860978973593246886546610494550379619670111031681693140247227624717272443077559204921474888020224623596902272665823503475298384306603674381796381200791731729700022068482782131246267757409226909270403319204846369498937516719100703625097762411054088187079129677030392617734311819036752879956775818062127727014942687352833358233617356030755924182258689646140005170597994833239769252942662437280811508967151216574298767184900034678906214394364766113506655502012793654067790521295655417385495652211867524379136291920763695580133583888109914650403336068387569107280967881901496372797206330750324024213598433576243860451816909946935793591795833117185402267397117715409687388734084155131068150176784495677239819516614678885766}
15990 21348871860437821434213420144208697830382465011882703168224143672: {271541,303449,494729,543014,830596,844661,925622,1066841,1130249,1320281,1405624,1415189,1581327,1604789,1636361,1660984,1731029,1794101,1868607,2077529,2348031,2635215,2642441,2736341,2795275,2810896,2861429,3048821,3142409,3162258,3209174,3354330,3398534,3516041,3577952,3609269,3795509,3912895,3950489,3993250,4025196,4043381,4136201,4266292,4646596,4695474,4791900,4814681,4876169,5026612,5111360,5428121,5458709,5505855,5589850,5659622,5750280,5872912,5977481,5992312,6034454,6068789,6133632,6164932,6221654,6372629,6469065,6554549,6607026,6705929,6707820,6741351,6826889,6900336,6922372,6977909,7155008,7155494,7189001,7429769,7528022,7762878,7770424,7899974,7985500,8049384,8056372,8085734,8089241,8447321,8685401,8741727,8893301,8952999,9038584,9055557,9219209,9337481,9426101,9485141,9582600,9691529,9838709,9935414,10103129,10132469,10168407,10221440,10316596,10366901,10454681,10558264,10571609,10612735,10717589,10780425,10854854,10979849,11096201,11221622,11499120,11531381,11762741,11878047,12108821,12265728,12328312,12566452,12568469,12735282,12911861,12936510,12997529,13046822,13085944,13293847,13339481,13485355,13590712,13680281,13798944,13869351,13991669,14091855,14104661,14315894,14391111,14667701,14721687,15031312,15161050,15218054,15283349,15289551,15450581,15523812,15534089,15700889,15839669,15974959,16116614,16182426,16282421,16420361,16695641,16910226,17132275,17243801,17652821,18060041,18080774,18168329,18193260,18249461,18411509,18546329,18788501,18976409,18991210,19190681,19253812,19377749,19406144,19910069,20203622,20392239,20412809,20558730,20781401,20807669,20860181,20938889,21043721,21094852,21122261,21131512,21357449,21432374,21565961,21831912,21877769,21929312,21956822,22291721,22389591,22420661,22497929,22600841,22652249,22754969,22789452,22806281,22821370,22869595,22882744,22928692,22997091,23036789,23175494,23292149,23660212,23772951,23825801,23876441,23901749,24059715,24255221,24276475,24381304,24385431,24406229,24560901,24670476,24807509,24880312,24882521,25076294,25331081,25420022,25663696,25743087,25925129,25934534,26122121,26379759,26618534,26624824,26654275,26789174,26856281,27034546,27130300,27172181,27385644,27428967,27443514,27470294,27727769,27849327,27896021,27990351,28117624,28160679,28303001,28802549,28871658,28968281,29015561,29030275,29039189,29131770,29163014,29298569,29322101,29533529,29884469,29952927,30506822,30788489,30841334,31073888,31110041,31132949,31270229,31342022,31404475,31407221,31452821,31589429,31591864,31612169,31632327,31952309,31985130,32132981,32290649,32334712,32358101,32431795,32505254,32537621,32556360,32604809,32670850,32670854,32872735,32872841,33001622,33028661,33361241,33471701,33757961,33780532,33955349,34117472,34152089,34261109,34341951,34586969,34716809,34726784,34738421,34836330,34911029,34958124,35447129,35489801,35540847,35638901,35808821,35872409,35952614,36210329,36277622,36315509,36376551,36399509,36625905,36963161,37129049,37158752,37376921,37685370,37694596,37828361,37857027,37894022,37930421,38167431,38235401,38382156,38498261,38538581,38620780,38696822,38918154,39067632,39079769,39199241,39205020,39240184,39338261,39447282,39457109,39528895,39634841,39731512,39752969,39792281,39814694,39973814,40197728,40319861,40610441,40629749,40663532,40745429,40841609,40883275,41014229,41024355,41222596,41352031,41414489,41557094,41564991,41803596,41818688,41872022,41886389,41993995,42055049,42167129,42184312,42186374,42278921,42431055,42538649,42704789,42870281,42925301,43253909,43325572,43381001,43438022,43706009,43759312,43813769,43867541,43906435,43951086,44010581,44064089,44145207,44224181,44373172,44436629,44697951,44718101,44753141,44980121,45046167,45222444,45241215,45259792,45270147,45481589,45550229,45704201,45806489,46067174,46145369,46263221,46344936,46526822,46597781,46660119,46714121,46807492,46961050,46962101,46995029,47046024,47060789,47289941,47306249,47434674,47457351,47533721,47746214,47801464,47846452,47983961,48111449,48127349,48257296,48349109,48364889,48412181,48694421,48958601,49059930,49189781,49205129,49229226,49342901,49494235,49525589,49601369,49962329,49990264,50051849,50066741,50185589,50392794,50684981,50801141,50917266,50974421,51289109,51349094,51445001,51656021,51753881,51837449,51865241,52031321,52138053,52168431,52168841,52330592,52332809,52373621,52536149,52643861,52657289,52687722,52884341,52924169,52926777,53003609,53082761,53253269,53279381,53388115,53396489,53558774,53667221,53704934,53776647,53794901,53820341,53868664,53909129,53915995,54141591,54160649,54198101,54288134,54289458,54359561,54458249,54531929,54544181,54605321,54777279,54840955,54871961,54967961,54998587,55015769,55042755,55077304,55252889,55308639,55428629,55447622,55463561,55533209,55544789,55579481,55843061,56125195,56158229,56239047,56313461,56353260,56445269,56469850,56543369,56554229,56673161,56766712,56780441,56833781,56929289,57149621,57345929,57579701,57709961,57787562,57829001,57848729,57880934,57976181,58005401,58022774,58090760,58140809,58406921,58435061,58453781,58463129,58509749,58588694,58602389,58617295,58657589,58712272,58730741,58821461,58848521,58871916,59009369,59011622,59014711,59074330,59158901,59193749,59219801,59227215,59271689,59314709,59323289,59348981,59393082,59442569,59518421,59626841,59750261,59779687,59863829,60062691,60110144,60202841,60287189,60376312,60445529,60452981,60519689,60600341,60602247,60694409,60708761,60725919,60772949,60829334,60856504,60864521,60899381,60940949,60947849,61026355,61050389,61084169,61144469,61243529,61250069,61269641,61340789,61521974,61536089,61591349,61770869,61834889,61840661,61886549,61892249,61909301,61961967,61971209,62026649,62105275,62119061,62119732,62188169,62211014,62266229,62327381,62402201,62446229,62470409,62499161,62560469,62569781,62624981,62638601,62718809,62821721,62825909,62850869,62883701,62895881,62896454,62912009,62967449,62983001,63006089,63040181,63124361,63166601,63169622,63170069,63175696,63207689,63221129,63267161,63299081,63305369,63333269,63345461,63354521,63369461,63413081,63432821,63449429,63452596,63465749,63502709,63557621,63585941,63624089,63636087,63651701,63663989,63697241,63702869,63719321,63729929,63731669,63766361,63780149,63816341,63832409,63834761,63842515,63842741,63848201,63850022,63861461,63862551,63863381,63864329,63890441,63892469,63903641,63905141,63906569,63911189,63916661,63918089,63984711,64065738,64454275,64688824,64699194,64965439,65045455,65352105,65354691,65468294,65809146,66051306,66090739,66434692,66837304,67249671,67350234,67623912,67763820,67923351,68102671,68119334,68463567,68742712,68815208,69283207,69423254,69708912,70069814,70340754,70406584,70706050,70840934,70889196,71072658,71078335,71548167,72083859,72281408,72292759,72367622,72774927,73014904,73105215,73231626,73383115,73626052,73873574,73961464,74526330,74618774,74670712,75112694,75191967,75481622,75924111,76076901,76172275,76510015,76527796,76609159,76611018,76702022,77022850,77335551,77345130,77417109,77800125,77978896,78054546,78422526,78569410,78719455,79207407,79494752,79655079,79690022,80089144,80121955,80178850,81007771,81208214,81316584,81477991,82141767,82477795,82501472,82553660,82755555,82892596,82902712,82986800,83206647,83207812,83722022,84004551,84283622,84306730,84391900,84465796,84618854,84703795,84847260,85294002,85405435,85721155,86031796,86494022,86711894,86828119,86930767,87123399,87254054,87510067,87726258,88059738,88202847,88272592,89034967,89158735,89431596,89451652,89916554,90100287,90219327,90223622,90378292,90503744,90556195,90592504,90950487,90994612,91256822,91406730,91481157,91519864,91812018,91916932,91971494,92163225,92214712,92427420,92807770,92814156,93181647,93265551,93312879,93360150,93719715,93974534,94283292,94463346,94564214,94827475,94853311,95051654,95127914,95276596,95919974,96015734,96146346,96206822,96214620,96682022,96792196,96832312,96847491,97153622,97289530,97341254,97500512,97910527,98133999,98307440,98362934,98442424,98531967,98589248,98973354,98976010,99004359,99064392,99185894,99217555,99306666,99584160,99820024,99967696,...,113838104508400093007548010102343314235801384589646714877461770680509627982634367730568666241666716953082663934752738743631934230010946296983692791123838173194683375531789732875321979641203005553539953777255820290922414025508390298959889818071279223798857469709723719000287694992600558696830292759200620676996767565268715047800151424848356581160941150581241823636158228740079841100128822865185621023353133827800835750454630375670841058140076559953637135194111094252768374670081747711344873173888561740389420573374274765946936231229575927400628259275882977197601245926483115452930849170096059648213589548996163678021915921017040541089926354297444762578990157560373170623508494378841316001094369524879017046724736342591732578807961875641409146820528591331580222640006820805676103919630065261888942679088522667529959983129771273482024707084144559803637099834681764235074340473161871271590526440966584580462507212141874258336207806884850149447752466593443548202849564287150838199455191133660147071328003039876811065273849608587260084106372214952328676882974469718625554044928953297351607795329766131320734514437224433300934202891363188293428160653687306291113249981157189820288148762185939551733312546219948753438235524542463666658855180667671958240562594000072091893242816246308403778892704875943749140336973311147824599103288493209128351830445746798298628145128181786973024618208098968438773038861127848371323562746085144111260246218100798241462715353888586528070801522338669205687933861470631288438100037746122229700594254704067736501069653290174873525069034859477870414494573736571299541044455244552157795258858912018907573976927741906944895837580211604837468652332196443467387720629457894650366667527353645292747048508101270497932573875253377730127029322873414295298292722328829650695170201279974270479719214867510056199754049791468460389870329819915741825569429505166547522539710370841437075908664616338807382212332030336935395353408998735255212947576459905511572694571801187597594550033102724173196869401636113840363905604978807269554248406275078651055437646643616581132280618694515545588926601467728555129319935163727093191590522414031029250037350426034046133886273388034469210007755896992249859653879413993655921217263450726824861448150777350052018359321591547149170259983253019190481101685781943483126078243478317801286568704437881145543370200375832164871975605004102581353660921451822852244559195809496125486036320397650364365790677725364920403690387693749675778103401095676573114531083101126232696602225265176743515859729274922018328649}
15991 21442280830329795661640461774486899460078613702148386700140073669: {15991,814521,1038245,1229921,1245894,1388433,1453361,1757030,2076230,2108436,2459534,2491476,3130708,3513620,3941873,4216344,4472440,4743387,4813761,5031495,5097801,5138798,5243273,5332865,5366928,5808245,5989875,6037794,6260632,6283265,6389200,6399438,6670862,6799121,6969894,7043211,7053878,7187850,7341140,7490390,7538201,7539918,7667040,7706165,7908761,8178176,8384775,8489433,8494421,8625420,8652965,8809368,8943760,8988468,9051681,9200448,9238481,9247398,9332481,9713030,9910539,9981875,10024373,10061730,10070465,10350504,10383558,10681649,10732512,10733241,10787273,11292033,11298230,11363081,11450201,11644317,11655636,11727881,11849961,11891873,11937332,11978250,12074076,12084558,12128601,12209873,12773321,12776800,12895745,13152398,13197830,13557876,13817969,14373900,14375174,14682161,14903121,15332160,15410390,15474894,15708065,15837396,16030433,16282281,16354304,16357430,16501781,16832433,16980376,16988390,17248680,17838473,17988641,18118073,18263681,18383573,18398592,18490073,18492468,18789140,18849678,19102923,19188148,19404765,19570233,19628916,19733141,19850993,20022401,20025941,20233049,20386068,20662862,20698416,20846501,21259958,21333641,21450449,21473841,21576568,21770273,21941894,22317521,22455734,22546968,22741575,22827081,23185241,23285718,23296721,24067265,24140021,24174921,24257680,24273639,24503441,24602921,24846734,25056953,25365339,26135201,26181173,26368565,26414390,27121161,27189652,27289890,27326321,27411640,27642881,27662273,28044041,28128869,28292873,28359881,28438478,28486815,28603430,28660865,28686038,28870313,28880718,29082929,29109216,29575265,29852788,30305433,30385936,30476630,30662788,30838095,31100390,31110662,31181861,31495694,31642278,31697268,31921478,32079620,32135921,32148561,32513908,32747868,32893968,32935233,33281030,33515801,33637013,33890054,33912875,34049273,34170758,34184178,34232055,34324116,34335161,34393038,34416878,34763241,34765073,34971689,35147030,35173012,35278694,35490318,35952281,36514192,36571956,36591352,36762518,36911273,37005714,37132436,37170341,37320468,37547572,37614441,37855382,38130033,38289398,38385014,38495544,38795894,38842360,38892569,38901801,39199121,39383873,39489830,39602318,39738389,39758513,39927801,39937236,40183761,40310393,40418390,40551819,40617641,40695450,40851521,41078466,41165271,41205441,41671601,41724089,41826281,42176436,42215573,42225134,42225665,42646840,42894581,43171598,43248881,43307487,43378838,43408480,43697655,43741481,43744521,44794913,44838758,45753161,45760233,45789268,46262001,46448440,46610832,46884773,47013033,47118245,47135081,47370833,47387796,47519861,47977695,48192641,48275975,48472481,48502068,48757881,48834540,48898118,48901073,48960473,49006275,49006281,49050230,49304021,49502433,49654529,49664390,49670873,49996673,50107598,50247160,50476036,50670798,50829415,50889908,51176208,51317201,51330341,51373238,51528245,51890872,52090176,52254495,52273360,52437186,52596376,52730390,52829273,53249441,53479334,53709542,53928921,53941481,54156965,54305249,54413222,54416433,54699140,54932441,55278734,55419988,55466465,55738128,56528055,56541894,56574740,56602721,56841033,56978009,57573234,57733358,57931170,57988601,58045233,58377231,58482641,58509365,58601448,58807530,58860276,59170923,59597268,59637713,59722041,59751830,59808065,59960721,60061556,60149873,60213307,60296592,60321620,60360196,60692393,60930278,60995298,61282454,61605761,61793248,61833894,62213492,62335641,62487830,62542961,62705394,62728032,62808033,62903654,63185849,63246232,63276468,63279561,63341681,63782513,63888041,64035521,64458101,64538981,64716281,64988358,65000438,65040569,65157033,65336873,65413240,65430902,65638968,65721281,65926629,66336974,66401633,66559758,66728513,67190392,67200281,67265558,67329041,67335830,67833666,67889688,68050961,68231534,68304713,68523221,68642678,68685329,68846630,69100761,69517404,69557908,69676553,69790233,69934574,70078001,70211238,70250296,70441575,70569036,70908773,70958390,71081894,71152011,71443553,71619321,71702196,71769678,72032249,72053729,72188788,72385944,72539873,72613450,72766742,72893873,73036372,73190414,73390340,73519238,73589895,73744852,73843839,74001929,74985396,75047489,75137680,75470390,75589191,76070630,76375899,76431878,76694081,76870982,76913201,77023641,77238518,77649665,78057998,78495888,78969620,79031583,79158998,79190776,79268441,79315745,79343462,79466774,79822241,80079881,80083588,80159318,80176373,80338161,80413541,80557401,80610638,80687873,80802996,80861030,80967892,81432201,81434187,81766073,82390361,82615956,82755662,82780373,82897313,82996001,83043365,83171433,83332181,83437574,83438774,83546630,84529890,84665681,84704775,84728273,84749873,84848116,85150068,85312948,85420984,85928390,86019010,86137121,86265592,86681343,86821401,86844494,87034161,87136140,87139588,87174761,87250214,87284993,87342521,87471734,87613478,87745528,87883041,88008230,88023161,88068408,88291361,88307874,88517433,88611495,89089623,89097161,89666228,89800312,90165216,90347201,90351760,90564468,91061654,91244001,91268630,91284756,91345961,91764773,91877489,92032565,92282961,92435894,92451830,92540849,92741873,92902022,92945216,92950598,93179598,93316521,93338390,93339281,93787672,93834734,94167281,94333961,94344681,94411673,94490393,94518928,94754433,94763544,95178894,95235521,95397556,95659745,95723873,95775033,96098607,96111812,96120521,97033236,97048791,97177814,97229609,97372073,97473620,97547873,97642168,97789718,98202441,98366249,98713719,98925941,99076959,99294758,99368440,99652038,...,151784139344533457343397346803124418981068512786195619836615694240679503976845823640758221655555622604110218579670318324842578973347928395978257054831784230926244500709052977167095972854937340738053271703007760387896552034011187065279853090761705631731809959612964958667050259990134078262440390345600827569329023420358286730400201899797808774881254867441655764848210971653439788133505097153580828031137511770401114333939507167561121410853435413271516180258814792337024499560108996948459830898518082320519227431165699687929248308306101236534171012367843969596801661235310820603907798893461412864284786065328218237362554561356054054786568472396593016771986876747164227498011325838455088001459159366505356062299648456788976771743949167521878862427371455108773630186675761074234805226173420349185256905451363556706613310839695031309366276112192746404849466446242352313432453964215828362120701921288779440616676282855832344448277075846466865930336622124591397603799419049534450932606921511546862761770670719835748087031799478116346778808496286603104902510632626291500738726571937729802143727106354841760979352582965911067912270521817584391237547538249741721484333308209586427050865016247919402311083394959931671250980699389951555545140240890229277654083458666762789190990421661744538371856939834591665520449297748197099465471051324278837802440594329064398170860170909049297366157610798624585030718481503797828431416994780192148346994957467730988616953805184782037427735363118225607583911815294175051250800050328162972934125672938756982001426204386899831366758713145970493885992764982095066054725940326069543727011811882691876765302570322542593194450106948806449958203109595257956516960839277192867155556703138193723662731344135027330576765167004503640169372430497885727064390296438439534260226935039965693972958953156680074933005399721957947186493773093220989100759239340222063363386280494455249434544886155118409842949776040449247193804545331647006950596768613207348763592762401583463459400044136965564262492535514818453818540806638409692738997875033438201407250195524822108176374158259354060785235468623638073505759913551636124255454029885374705666716467234712061511848364517379292280010341195989666479538505885324874561623017934302433148597534369800069357812428788729532227013311004025587308135581042591310834770991304423735048758272583841527391160267167776219829300806672136775138214561935763802992745594412661500648048427196867152487720903633819893871587183591666234370804534794235430819374777468168310262136300353568991354479639033229357771532}
15992 21536095310517452827202245454632150666055056829314020207559224099: {303487,543082,606898,989458,1086028,1162087,1257127,1636567,1661192,1689322,1851244,1868841,2133682,2260498,2635545,2640562,2811248,2830378,3114345,3162654,3209578,3272722,3321968,3462058,3588202,3689301,3737214,3913385,4155058,4392025,4696062,4907527,5183791,5270430,5284882,5459407,5472682,5478053,5590550,5621792,5722858,5825887,6097642,6284818,6324516,6373447,6418348,6708660,6737047,6797068,7032082,7155904,7218538,7591018,7708197,7731007,7825790,7900978,7986500,8050392,8086762,8272402,8358991,8532584,9056691,9176425,9249991,9293192,9390948,9515887,9583800,9599157,9629362,9692791,9752338,9869407,10006293,10053224,10133791,10222720,10309687,10454841,10580817,10781775,10856242,10917418,11011710,11179700,11184847,11235585,11309877,11319244,11445991,11500560,11745824,11954962,11984624,12068908,12137578,12267264,12329864,12443308,12745258,12913567,12938130,13109098,13214052,13411858,13415640,13482702,13653778,13800672,13844744,13852087,13871097,13955818,14310016,14310988,14378002,14569545,14857829,14859538,14921665,15056044,15092595,15117847,15525756,15540848,15575337,15799948,15869527,15952687,15971000,16098768,16112744,16171468,16178482,16697887,16894642,16947345,17355391,17370802,17483454,17786602,17905998,17926927,17967375,18077168,18111114,18126837,18438418,18674962,18817927,18852202,18879497,18970282,19165200,19383058,19677418,19728597,19796745,19870828,20206258,20264938,20336814,20415607,20442880,20633192,20733802,20810527,20909362,21116528,21143218,21203647,21225470,21241429,21435178,21560850,21562761,21594967,21709708,21959698,22139791,22192402,22294807,22443244,22998240,23062762,23115585,23212341,23486425,23525482,23756094,23905087,23985185,24217642,24283807,24531456,24536145,24656624,24810991,25132904,25136938,25470564,25482585,25823722,25873020,25995058,26093644,26171888,26587694,26678962,26970710,27181424,27360562,27597888,27738702,27900007,27983338,28183710,28209322,28274517,28330927,28631788,28782222,29043367,29326327,29335402,29443374,29888791,30062624,30322100,30377167,30436108,30566698,30579102,30901162,30994293,31047624,31068178,31137487,31274791,31401778,31616791,31679338,31889937,31949918,32017433,32233228,32364852,32564842,32840722,32912841,33391282,33683601,33820452,33987065,34264550,34287991,34487602,34743607,34928577,35305642,35708047,36120082,36161548,36336658,36386520,36498922,36823018,37092658,37270101,37279447,37315985,37577002,37952818,37982420,38328485,38381362,38507624,38755498,38812288,39165487,39621585,39820138,40099525,40407244,40578127,40636087,40642385,40784478,40825618,40934835,41117460,41211727,41439967,41562802,41610391,41615338,41720362,41877778,42087442,42189704,42244522,42263024,42563887,42657717,42714898,42729991,42864748,42905145,43029057,43131922,43321077,43663824,43755538,43858624,43913644,43966265,44088991,44249047,44355391,44461447,44583442,44725327,44779182,44841322,44995858,45201682,45304498,45402991,45404513,45509938,45578904,45612562,45642740,45714945,45739190,45765488,45813967,45857384,45994182,46021829,46073578,46350988,46415545,46584298,46650585,46665993,46934465,47243541,47314087,47320424,47463417,47509207,47545902,47651602,47752882,47803498,47882217,48119430,48135391,48372991,48510442,48552950,48762608,48770862,48812458,48982327,49121802,49167367,49213447,49340952,49615018,49760624,49765042,49921545,49985791,50075287,50152588,50662162,50835081,50840044,51256137,51276267,51297991,51327392,51486174,51589557,51625317,51850258,51869068,52054207,52244242,52666567,52720545,52759518,52827127,52918041,53235477,53237068,53249648,53308550,53578348,53712562,53918791,54069092,54107791,54260600,54344362,54406447,54554047,54771288,54857934,54887028,54940588,54954007,55143777,55340453,55455538,55508571,55554991,55698654,55792042,55980702,56235248,56321358,56564791,56606002,56783073,57236585,57434097,57577521,57600727,57605098,57743316,57936562,58016527,58031122,58060550,58078378,58193841,58263540,58304887,58326028,58474447,58597138,58613767,58644202,58791593,58887007,59067058,59234745,59334991,59403477,59462791,59638687,59762167,59768938,59905854,60121807,60306991,60420391,60465247,60576127,60627585,60749791,60960391,61013644,61043175,61203607,61262791,61301887,61321327,61469009,61576978,61617699,61640791,61682668,61783927,61853767,61905391,62147776,62185687,62220082,62265898,62279647,62488807,62540458,62601991,62684044,62697247,62808950,62814442,62839807,62905642,62925991,63076687,63095045,63178858,63183728,63184327,63224338,63264654,63322927,63337701,63519991,63542887,63572407,63593791,63612385,63736207,63746791,63757087,63781567,63808567,63836791,63847807,63861487,63879847,63904618,63932047,63970260,64265962,64581298,64669424,64716202,64757397,64863590,65010508,65068257,65075242,65112720,65209618,65341700,65341708,65745470,65745682,66003244,66057322,66722482,66943402,67258137,67515922,67561064,67910698,68234944,68304178,68373925,68522218,68683902,69173938,69274985,69291929,69433618,69453568,69476842,69672660,69822058,69916248,70648721,70718425,70894258,70979602,71081694,71277802,71617642,71744818,71905228,72420658,72555244,72631018,72753102,72799018,73251810,73347177,73575345,73926322,74258098,74317504,74496585,74743361,74753842,75076945,75161397,75370740,75389192,75402025,75450245,75482393,75656722,75714054,75788044,75860842,76006197,76334862,76470802,76764312,76777337,76996522,77059857,77077162,77241560,77393644,77766865,77836308,78107237,78135264,78159538,78398482,78410040,78480368,78575273,78655779,78676522,78894564,78914218,79057790,79095585,79269682,79463024,79505938,79584562,79629388,79947628,80219001,80395456,80564313,80639722,81220882,81259498,81327064,81490858,81619833,81683218,81766550,82028458,82048710,82064213,82445192,82704062,82828978,82918101,83114188,83129982,83607192,83637376,83744044,83772778,83987990,84110098,84334258,84368624,84372748,84557842,84812841,84862110,85077298,85409578,85436897,85740562,85850602,86359851,86507818,86600037,86651144,86762002,86876044,86896755,86947385,87412018,87518624,87627538,87735082,87812870,87902172,88021162,88128178,88211295,88290414,88448362,88746344,88873258,89379521,89395902,89436202,89506282,89627745,89960242,90092334,90235985,90444888,90482430,90519584,90538097,90540294,90554101,90963178,91063637,91100458,91295465,91395417,91408402,91492947,91612978,91737925,91923681,92134348,92181065,92290738,92526442,92689872,92750841,93053644,93195562,93320238,93428242,93614984,93731745,93922100,93924202,93990058,94058091,94092048,94121578,94355481,94579882,94612498,94869348,94914702,95067442,95492428,95602928,95692904,95967922,96222898,96254698,96514592,96698218,96729778,96824362,97388842,97482537,97500657,97805369,97917202,98119860,98146353,98379562,98410258,98458452,98685802,98712025,98988470,99051178,99202738,99505461,99509669,99839637,99924658,99980528,...,227676209016800186015096020204686628471602769179293429754923541361019255965268735461137332483333433906165327869505477487263868460021892593967385582247676346389366751063579465750643959282406011107079907554511640581844828051016780597919779636142558447597714939419447438000575389985201117393660585518401241353993535130537430095600302849696713162321882301162483647272316457480159682200257645730371242046706267655601671500909260751341682116280153119907274270388222188505536749340163495422689746347777123480778841146748549531893872462459151854801256518551765954395202491852966230905861698340192119296427179097992327356043831842034081082179852708594889525157980315120746341247016988757682632002188739049758034093449472685183465157615923751282818293641057182663160445280013641611352207839260130523777885358177045335059919966259542546964049414168289119607274199669363528470148680946323742543181052881933169160925014424283748516672415613769700298895504933186887096405699128574301676398910382267320294142656006079753622130547699217174520168212744429904657353765948939437251108089857906594703215590659532262641469028874448866601868405782726376586856321307374612582226499962314379640576297524371879103466625092439897506876471049084927333317710361335343916481125188000144183786485632492616807557785409751887498280673946622295649198206576986418256703660891493596597256290256363573946049236416197936877546077722255696742647125492170288222520492436201596482925430707777173056141603044677338411375867722941262576876200075492244459401188509408135473002139306580349747050138069718955740828989147473142599082088910489104315590517717824037815147953855483813889791675160423209674937304664392886934775441258915789300733335054707290585494097016202540995865147750506755460254058645746828590596585444657659301390340402559948540959438429735020112399508099582936920779740659639831483651138859010333095045079420741682874151817329232677614764424664060673870790706817997470510425895152919811023145389143602375195189100066205448346393738803272227680727811209957614539108496812550157302110875293287233162264561237389031091177853202935457110258639870327454186383181044828062058500074700852068092267772546776068938420015511793984499719307758827987311842434526901453649722896301554700104036718643183094298340519966506038380962203371563886966252156486956635602573137408875762291086740400751664329743951210008205162707321842903645704489118391618992250972072640795300728731581355450729840807380775387499351556206802191353146229062166202252465393204450530353487031719458549844036657298}
15993 21630317047671987912700266700139263719874983489443819426738263944: {31982,814623,910347,1357535,1453543,1484187,1629042,1932491,2076490,2314055,2459842,2491788,2533983,2776866,2906722,3200523,3390747,3514060,3960843,4037627,4152460,4216872,4245567,4612151,4743981,4814367,4909083,4919068,4982952,5193087,5382303,5605821,6232587,6261416,7027240,7044093,7466011,7883746,7905645,7927323,8022935,8131543,8209023,8385825,8432688,8496335,8584287,8796571,8908783,8944880,9146463,9427227,9486774,9627522,9983125,10062990,10195602,10277596,10334027,10486546,10548123,10665730,10733856,10788631,10827807,11203711,11386527,11616490,11738685,11851467,11979750,12075588,12114151,12130143,12408603,12521264,12566530,12623767,12778400,12798876,13341724,13598242,13860223,13939788,13974625,14086422,14098651,14107756,14149055,14346623,14375700,14444043,14628507,14682280,14980780,15076402,15079836,15086135,15095743,15334080,15412330,15554135,15817522,16284363,16330327,16356352,16376127,16517565,16769550,16978866,16988842,17212763,17250840,17305930,17618736,17643791,17887520,17888735,17932443,17976936,18054043,18103362,18206367,18400896,18443167,18476962,18494796,18664962,18820055,18932447,19117887,19407195,19426060,19663647,19749935,19821078,19963750,20048746,20117787,20123460,20140930,20214335,20224053,20249611,20480667,20701008,20767116,20933727,21220027,21259303,21363298,21465024,21466482,21567003,21574546,21793111,21991291,22054687,22289307,22584066,22596460,22726162,22900402,23288634,23311272,23455762,23699922,23783746,23874664,23956500,24037031,24148152,24169116,24257202,24267723,24419746,24838535,25317583,25341963,25546642,25553600,25791490,26056203,26225181,26304796,26395660,26679903,26858997,27115752,27137135,27166671,27635938,27657627,28012443,28054055,28278303,28455423,28747800,28750348,29074587,29261311,29364322,29412043,29516127,29806242,30068791,30084527,30309387,30328283,30397407,30505221,30664320,30820780,30949788,31100703,31116107,31364043,31416130,31674792,31714827,31838205,32060866,32152767,32294743,32341275,32508407,32564562,32617055,32708608,32714860,32939547,33003562,33176891,33288603,33516223,33664866,33694171,33960752,33976780,34497360,34594143,35288223,35634141,35676946,35789735,35956807,35977282,36236146,36326463,36527362,36767146,36797184,36915991,36980146,36984936,37578280,37699356,37705407,37902625,38045135,38205846,38225567,38376296,38735583,38809530,38992587,39140466,39257832,39388831,39466282,39609583,39701986,39881541,40018443,40044802,40051882,40125211,40291535,40364687,40456065,40466098,40772136,41040843,41325724,41396832,41405371,41608053,41676847,41693002,41975007,42275565,42313983,42519916,42667282,42900898,42947682,43153136,43173333,43433291,43540546,43883788,44003103,44054651,44165061,44626583,44635042,44881751,44911468,45093936,45201935,45396187,45483150,45654162,45850047,45868653,46229591,46351743,46370482,46408471,46476623,46571436,46593442,46602267,47102667,47182111,47478025,47519007,47924877,48070271,48134530,48280042,48349842,48515360,48547278,48847263,49006882,49205842,49261083,49310287,49659887,49693468,49837903,50086923,50113906,50509055,50637787,50730678,51396825,51731403,52270402,52362346,52737130,52828780,52958463,53580935,53610491,54180123,54242322,54379304,54504987,54579780,54652642,54748383,54823280,54892055,55234527,55285762,55324546,55638987,56088082,56257738,56365503,56585746,56719762,56876956,56917951,56929227,56973630,57053425,57206860,57321730,57372076,57572043,57740626,57761436,57938735,58133247,58165858,58218432,59115931,59150530,59705576,59730207,60610866,60687407,60699323,60771872,60775391,60953260,61176717,61238427,61325576,61676190,62200780,62221324,62344203,62363722,62423007,62580543,62690735,62816667,62856263,62991388,63131163,63284556,63366783,63394536,63550055,63749023,63842956,63939431,64072347,64159240,64271842,64297122,64697883,64836335,65011547,65027816,65495736,65633307,65787936,65870466,65965543,66546335,66562060,66875163,66972935,67031602,67168773,67261983,67274026,67337647,67493787,67586365,67780108,67802523,67825750,67956747,68098546,68181307,68264907,68341516,68368356,68418843,68464110,68531983,68608785,68648232,68670322,68675735,68727791,68786076,68833756,68991273,69110367,69526482,69530146,69876447,69943378,70294060,70346024,70557388,70620127,70980636,71161181,71191051,71318853,71467463,71477403,71629323,71705247,71904562,72041407,72139543,72179145,72765663,72829425,72907535,73028384,73143912,73156293,73182704,73218687,73525036,73682703,73727291,73822546,74011428,74264872,74340682,74422527,74640936,74647563,75095144,75228882,75678343,75710764,75819751,75993243,76260066,76267055,76504871,76578796,76770028,76866127,76991088,77103335,77229261,77591788,77653051,77684720,77775387,77785138,77803602,78117023,78355055,78366363,78398242,78767746,78979660,79139277,79204636,79223447,79476778,79517026,79855602,79874472,79962825,80367522,80423863,80568843,80620786,80836780,81103638,81235282,81263135,81346831,81390900,81516543,81677125,81677135,81703042,81913111,82156932,82286901,82330542,82410882,82504055,83183307,83343202,83448178,83547981,83652562,83688063,83731291,83971053,84334583,84352872,84431146,84450268,84451330,84482037,84909003,85154407,85293680,85789162,86343196,86407647,86409403,86473307,86497762,86614974,86633327,86757676,86816960,86904843,87046683,87090825,87117567,87366647,87395310,87482962,87489042,87895707,87966303,88600587,88606991,88692487,89589826,89653407,89677516,89858781,89881535,90076871,90694055,91385611,91506322,91520466,91578536,92195471,92365467,92524002,92896880,93135967,93221664,93330123,93398847,93769546,93810687,94026066,94213425,94221663,94236490,94270162,94358463,94735055,94741666,94768287,94775592,94836507,94896981,95039722,95856927,95955390,96385282,96398943,96469967,96540527,96551950,96742055,96871947,96944962,97004136,97074303,97295385,97515762,97612863,97669080,97796236,97802146,97814427,97920946,98012550,98012562,98086183,98100460,98378827,98608042,98618205,98618523,99004866,99085983,99309058,99328780,99341746,99536735,99934535,99993346,...,341514313525200279022644030307029942707404153768940144632385312041528883947903103191705998725000150859247991804258216230895802690032838890951078373371514519584050126595369198625965938923609016660619861331767460872767242076525170896879669454213837671396572409129171157000863084977801676090490878277601862030990302695806145143400454274545069743482823451743725470908474686220239523300386468595556863070059401483402507251363891127012523174420229679860911405582333282758305124010245243134034619521665685221168261720122824297840808693688727782201884777827648931592803737779449346358792547510288178944640768646988491034065747763051121623269779062892334287736970472681119511870525483136523948003283108574637051140174209027775197736423885626924227440461585773994740667920020462417028311758890195785666828037265568002589879949389313820446074121252433679410911299504045292705223021419485613814771579322899753741387521636425622775008623420654550448343257399780330644608548692861452514598365573400980441213984009119630433195821548825761780252319116644856986030648923409155876662134786859892054823385989298393962203543311673299902802608674089564880284481961061918873339749943471569460864446286557818655199937638659846260314706573627390999976565542003015874721687782000216275679728448738925211336678114627831247421010919933443473797309865479627385055491337240394895884435384545360919073854624296905316319116583383545113970688238255432333780738654302394724388146061665759584212404567016007617063801584411893865314300113238366689101782764112203209503208959870524620575207104578433611243483721209713898623133365733656473385776576736056722721930783225720834687512740634814512405956996589330402163161888373683951100002582060935878241145524303811493797721625760133190381087968620242885894878166986488952085510603839922811439157644602530168599262149374405381169610989459747225476708288515499642567619131112524311227725993849016422146636996091010806186060226996205765638842729379716534718083715403562792783650099308172519590608204908341521091716814936421808662745218825235953166312939930849743396841856083546636766779804403185665387959805491181279574771567242093087750112051278102138401658820164103407630023267690976749578961638241980967763651790352180474584344452332050156055077964774641447510779949759057571443305057345830449378234730434953403859706113313643436630110601127496494615926815012307744060982764355468556733677587428488376458108961192951093097372033176094761211071163081249027334310203287029719343593249303378698089806675795530230547579187824766054985947}
15994 21724947795929305100242018353275561308656958859886706180490012550: {47973,367333,606974,1086164,1130533,1213796,1699909,1794553,1978916,2172056,2324174,2443563,2514254,3018373,3112009,3114735,3273134,3322384,3378644,3579109,3672313,3689763,3702488,3737682,4044409,4137253,4165299,4267364,4360083,4392575,4520996,4877413,5190575,5271090,5281124,5429509,5478739,5521273,5622496,5660756,6148835,6228690,6325308,6419156,6545444,6643936,6889093,6924116,7176404,7251109,7378602,7474428,7826770,8061433,8310116,8784050,9132793,9392124,9487609,9815054,10367582,10540860,10569764,10918814,10945364,10956106,11181100,11243584,11445716,11592313,11651774,11825619,12195284,12457033,12569636,12649032,12746894,12836696,12846995,12972409,13058053,13399909,13417320,13474094,13594136,13740613,14064164,14164873,14230161,14311808,14437076,14441283,14671609,15094485,15182036,15293403,15416394,15462014,15651580,15729819,15801956,15973000,15998595,16100784,16173524,16342009,16424773,16544804,16677155,16717982,17065168,17084293,17248453,17424735,17494153,17634695,17969625,18064933,18113382,18352850,18499982,18586384,18725975,18781896,18793609,18849795,19031774,19167600,19198314,19258724,19385582,19504676,19738814,19915513,19995109,20012586,20074633,20106448,20267582,20397363,20445440,20619374,20865913,20890331,20909682,21101893,21129633,21161634,21563550,21712484,21834836,22023420,22359400,22369694,22471170,22614603,22619754,22638488,22658533,22812613,22891982,23001120,23118495,23119909,23491648,23726283,23883109,23909924,23969248,24137816,24275156,24282575,24534528,24659728,24886616,25103507,25154325,25387909,25468299,25483263,25490516,25827134,25876260,25958895,26218196,26428104,26823716,26831280,26863909,26936953,26965404,27155043,27307556,27601344,27689488,27704174,27715443,27742194,27911636,27952009,27997443,28245575,28311109,28620032,28621976,28739653,28756004,28952953,29023909,29139090,29307013,29715658,29719076,29731617,29799673,29843330,29945625,30073119,30112088,30185190,30211395,30235694,30497353,30774409,30843493,31051512,31081696,31150674,31187833,31462009,31599896,31739054,31905374,31942000,32044947,32197536,32199723,32225488,32342936,32356964,32361819,32412553,32815609,32880995,32994575,33082873,33395774,33579259,33789284,33876099,33894690,34074853,34089243,34205893,34350603,34710782,34741604,34932951,34966908,35183643,35436409,35500453,35549883,35573204,35675619,35811996,35853854,35934750,35937935,36154336,36222228,36253674,36385803,36452473,36629619,36703609,36876836,37349924,37388293,37635854,37704404,37758994,37940564,38319963,38330400,38525975,38550409,38687235,38766116,39091813,39354836,39390073,39457194,39593490,39741656,39804613,40412516,40529876,40673628,40831214,40885760,40893575,40969573,41266384,41427493,41453907,41467604,41621054,41818724,42105733,42233056,42286436,42329509,42407294,42450940,42470975,42482858,42870356,43121700,43125522,43189934,43419416,43431109,43647973,43919396,44046483,44238409,44279582,44384804,44450953,44556793,44589614,44709363,44767609,44886488,45237733,45996480,46059109,46125524,46231170,46312009,46424682,46613113,46762693,46972850,47010553,47050964,47124195,47354533,47512188,47581891,47810174,47970370,48031909,48079753,48091299,48435284,48567614,48695173,48846843,48975109,49062912,49072290,49313248,49505343,49618213,49621982,49663609,50265808,50273876,50497299,50556409,50818633,50941128,50965170,50992009,51647444,51657155,51746040,51883333,51990116,52049509,52187288,52242379,52296613,52343776,52702693,52903033,53149895,53175388,53219833,53298313,53357924,53415493,53515419,53659879,53839609,53941420,53965923,54217609,54354219,54362848,54588409,54721124,54771109,54791043,54854735,55095433,55150719,55195776,55470219,55477404,55800014,55829509,55966676,56139335,56367420,56418644,56466313,56549034,56661854,56694373,56899339,57108553,57139909,57171193,57263576,57308769,57564444,57751909,57870853,58086734,58214295,58448293,58476409,58643593,58652654,58670804,58710699,58862473,58886748,59050213,59129593,59182153,59199423,59312293,59389513,59552979,59567173,59667109,59777582,59911909,60067203,60077823,60125248,60172873,60514693,60644200,60699147,60733573,60754334,60872216,61129609,61133396,61158204,61552771,61629433,61773433,61802324,61895653,61946953,61988586,62095248,62116835,62136356,62145673,62272393,62274974,62364409,62497573,62539503,62549582,62597113,62652409,62803556,62923813,63041893,63195109,63233582,63295909,63334213,63358676,63389509,63398473,63508453,63653893,63660409,63685753,63749509,63779874,63799909,63865573,63894409,63899836,63921733,63937609,63939013,63942793,63943909,64000923,64034866,64351347,64421523,64466456,64729704,64981763,65129684,65310819,65681444,65708251,65825682,66035975,66782564,66952563,67367202,67640904,67974130,68224725,68481243,68529100,68575982,68975204,69487214,69555723,69857154,69890163,70611284,71096195,71416094,71508575,71715095,72201795,72240164,72323096,72420063,72524763,72673316,72773040,72820917,72997844,73510323,73646036,73808763,74185316,74540202,74558894,74631970,75154004,75170859,75905636,75964840,76096017,76191575,76656970,76762724,77015248,77510996,77624576,77750975,77776655,78330974,78405603,78543519,78739235,79105695,79243170,79640276,79803695,80131219,80199050,80814488,81156254,81272174,81284770,81363483,81568956,81651236,81869670,81978963,82234920,82423454,82879934,82928643,82986819,83125604,83202575,83220782,83230676,83440724,83493943,83755556,84132123,84174884,84379408,84386607,84489044,84526048,84725135,84878619,85079643,85127774,85315434,85426895,85429796,85459982,85460445,85729496,85810290,85982595,86042195,86058114,86263844,86426351,86610939,86642154,87248787,87327648,87511076,87717248,87827288,87867575,87932530,88177982,88196735,88333063,88498094,88710782,88725795,88922894,89057339,89166884,89450654,89558364,89682644,89991716,90403364,90608996,90805982,90809026,90916299,91019876,91157808,91225124,91285480,91429890,91478380,91530976,91627934,91714768,91906295,91988364,92043658,92147156,92514285,92701976,92737403,92831090,93168596,93301170,93331986,93545583,93868930,94487082,94628174,94638455,94640848,94926834,95018414,95091804,95303204,95505764,95606996,95723495,95764434,95962535,96238860,96270782,96407763,96445683,96745982,96984979,96989735,97020884,97105900,97525216,97541724,97624916,97964654,98243604,98334734,98426894,98681904,98724575,98805699,99005795,99230036,99521248,99530084,99843090,99971582,...,455352418033600372030192040409373256943205538358586859509847082722038511930537470922274664966666867812330655739010954974527736920043785187934771164495352692778733502127158931501287918564812022214159815109023281163689656102033561195839559272285116895195429878838894876001150779970402234787321171036802482707987070261074860191200605699393426324643764602324967294544632914960319364400515291460742484093412535311203343001818521502683364232560306239814548540776444377011073498680326990845379492695554246961557682293497099063787744924918303709602513037103531908790404983705932461811723396680384238592854358195984654712087663684068162164359705417189779050315960630241492682494033977515365264004377478099516068186898945370366930315231847502565636587282114365326320890560027283222704415678520261047555770716354090670119839932519085093928098828336578239214548399338727056940297361892647485086362105763866338321850028848567497033344831227539400597791009866373774192811398257148603352797820764534640588285312012159507244261095398434349040336425488859809314707531897878874502216179715813189406431181319064525282938057748897733203736811565452753173712642614749225164452999924628759281152595048743758206933250184879795013752942098169854666635420722670687832962250376000288367572971264985233615115570819503774996561347893244591298396413153972836513407321782987193194512580512727147892098472832395873755092155444511393485294250984340576445040984872403192965850861415554346112283206089354676822751735445882525153752400150984488918802377018816270946004278613160699494100276139437911481657978294946285198164177820978208631181035435648075630295907710967627779583350320846419349874609328785773869550882517831578601466670109414581170988194032405081991730295501013510920508117291493657181193170889315318602780680805119897081918876859470040224799016199165873841559481319279662967302277718020666190090158841483365748303634658465355229528849328121347741581413635994941020851790305839622046290778287204750390378200132410896692787477606544455361455622419915229078216993625100314604221750586574466324529122474778062182355706405870914220517279740654908372766362089656124117000149401704136184535545093552137876840031023587968999438615517655974623684869053802907299445792603109400208073437286366188596681039933012076761924406743127773932504312973913271205146274817751524582173480801503328659487902420016410325414643685807291408978236783237984501944145281590601457463162710901459681614761550774998703112413604382706292458124332404504930786408901060706974063438917099688073314596}
15995 21819989316921669961733250205478248935667608073321436299371427373: {63964,910461,1357705,1517245,1629246,1820694,1900549,1932733,2283853,2473645,2715070,2907086,2968374,3239677,3258084,3486261,3771381,3864982,4152980,4223305,4628110,4771741,4909701,4919684,4983576,5067966,5154757,5334205,5553732,5606523,5651245,5813444,6401046,6601405,6781494,7028120,7075945,7906635,7921686,8023945,8075254,8181805,8239429,8304920,8433744,8491134,8655145,8970505,9224302,9343035,9487962,9628734,9818166,9838136,9965904,10386174,10387645,10684333,10764606,11067903,11108089,11211642,11232109,11740155,11894869,12212941,12428053,12465174,12522832,13176075,13212205,13403017,13681705,13976375,14054480,14088186,14307145,14517613,14722581,14932022,15244105,15551373,15712045,15767492,15811290,15854646,15966757,16034461,16045870,16263086,16378221,16418046,16434159,16771650,16865376,16951429,16992670,17168574,17477661,17580205,17593142,17817566,17889760,17993173,18046345,18292926,18687229,18854454,18973548,18977545,19120341,19199749,19255044,19405261,19564475,19752445,19808677,19855981,19966250,20125980,20211141,20216905,20238133,20391204,20555192,20668054,20681005,20851753,20973092,21096246,21120589,21331460,21467712,21577262,21593941,21655614,21697597,21775789,22407422,22773054,23124591,23193021,23232980,23477370,23702934,23959500,24040057,24073405,24151176,24228302,24260286,24380845,24458281,24817206,25042528,25044229,25076973,25133060,25247534,25556800,25597752,25966333,26187769,26348077,26683448,26749753,26864917,27140605,27170073,27196484,27216877,27260809,27293545,27529275,27649909,27720446,27749973,27879576,27949250,28172844,28197302,28215512,28298110,28300069,28547661,28693246,28751400,28797471,28888086,29055829,29078373,29257014,29364560,29608221,29887405,29961560,30018879,30152804,30159672,30172270,30191486,30332101,30343945,30401373,30652789,30668160,30824660,30929061,31108270,31364523,31463773,31635044,31742451,31863145,32345325,32568726,32660654,32712704,32752254,32772745,33035130,33524293,33529645,33539100,33554541,33706755,33929631,33957732,33977684,34134445,34210429,34337973,34425526,34501680,34552873,34611860,34773949,34889545,35125309,35237472,35287582,35554441,35775040,35777470,35864886,35945005,35953872,36108086,36206724,36397117,36412734,36609133,36773581,36801792,36886334,36953924,36989592,37148845,37329924,37640110,37864894,37991989,38235774,38661733,38740701,38814390,38852120,39209053,39275677,39327294,39499870,39642156,39927500,40097492,40235574,40246920,40281860,40428670,40446205,40448106,40499222,40861813,40961334,40978537,41217541,41402016,41534232,41556261,41613291,41735149,41867454,42236605,42440054,42518606,42726596,42930048,42932964,43134006,43149092,43427005,43438813,43586222,43641589,43708635,43982582,44060197,44109374,44460229,44466505,44573487,44578614,44632201,44764995,45168132,45192920,45277785,45353541,45452324,45548029,45663877,45800804,46096045,46577268,46622544,46687405,46726011,46911524,47130505,47399844,47425705,47531833,47567492,47608581,47703721,47749328,47858061,47913000,48074062,48296304,48338232,48457645,48484693,48514404,48535446,48607369,48839492,49193545,49210477,49677070,50009269,50093661,50105629,50161957,50515645,50635166,50662345,50683926,50842035,51093284,51107200,51260389,51330253,51343273,51582980,51834505,51944461,52066173,52112406,52273405,52450362,52609592,52791320,52858045,52981549,53063675,53263189,53359806,53587945,53717994,53725597,53780781,53902125,53955253,54225421,54231504,54274270,54333342,54380511,54630829,54899245,55267837,55271876,55315254,55481005,56024886,56108110,56408149,56453781,56556229,56556606,56638491,56910846,57495600,57500696,57656905,58003429,58149174,58522622,58728644,58813705,58824086,59032254,59185791,59267941,59390235,59612484,60137582,60169054,60544105,60618774,60656566,60794814,61010442,61246821,61310857,61328640,61641560,61899576,62201406,62232214,62431581,62728086,62832260,62842345,63282709,63349584,63357853,63429654,63610941,63676410,63724287,63947557,64121732,64305534,64474489,64559305,64589486,64682550,64688283,64784901,64987645,65016814,65129124,65234110,65417216,65429720,65727013,65737933,65879094,66007124,66338197,66353782,66419373,66469235,66577206,66697405,66884421,67032446,67107109,67329732,67388342,67426775,67921504,67925437,67953560,68345257,68401405,68736613,68994720,69188286,69346755,69637023,69763741,69958345,70459275,70523305,70576446,70712677,71268282,71353892,71461717,71579470,71715261,71721481,71913614,71954564,71955555,71978377,72193021,72472292,72652926,72851421,73054724,73338505,73534292,73594368,73608435,73831982,73960292,73969872,74069413,74432973,74700781,75013309,75156560,75398712,75410814,75731293,75805250,76090270,76411692,76416745,76447755,76451134,76488133,76752592,76848877,77252905,77471166,77619060,77670445,77985174,78054229,78280932,78504445,78515664,78777662,78932564,79198345,79219166,79403972,79763082,79874795,80036886,80089604,80103764,80250422,80583070,80729374,80776621,80912130,80932196,81114229,81223753,81412105,81544272,81781069,81786949,81950317,82081686,82101805,82651448,82793664,82810742,82831429,83017429,83216106,83353694,83386004,83478205,83677693,83700021,83950014,84345301,84397129,84551130,84627966,84687133,84823551,84985333,84992781,85039832,85334564,85661375,85801796,85895364,86219005,86306272,86346666,86484301,86866582,87081092,87130101,87132253,87155017,87196933,87307261,87767029,87767576,87978981,88006206,88045669,88109302,88264105,88281481,88330122,88844089,88947133,88970077,89253166,89270084,89607289,89666373,89763502,89822936,90187872,90300205,90403870,90770869,90792374,90841645,90966300,90991357,91131501,91247305,91308324,91700094,91737306,91901293,92057545,92459182,92703486,92726857,92731645,92740964,92816942,92953246,92982879,93142872,93164869,93186884,93204534,93391933,93412461,93762109,93824373,93942505,94205334,94364222,94521229,94620911,94850373,94882045,94956050,95038014,95322757,95669811,95849754,95953405,96052299,96140542,96146029,96269060,96289069,96560084,96699684,96809053,96888745,97030720,97094556,97385269,97572589,97694526,97836373,98013764,98411684,98522166,98620574,98738523,99319774,99386936,99550345,99675806,...,683028627050400558045288060614059885414808307537880289264770624083057767895806206383411997450000301718495983608516432461791605380065677781902156746743029039168100253190738397251931877847218033321239722663534921745534484153050341793759338908427675342793144818258342314001726169955603352180981756555203724061980605391612290286800908549090139486965646903487450941816949372440479046600772937191113726140118802966805014502727782254025046348840459359721822811164666565516610248020490486268069239043331370442336523440245648595681617387377455564403769555655297863185607475558898692717585095020576357889281537293976982068131495526102243246539558125784668575473940945362239023741050966273047896006566217149274102280348418055550395472847771253848454880923171547989481335840040924834056623517780391571333656074531136005179759898778627640892148242504867358821822599008090585410446042838971227629543158645799507482775043272851245550017246841309100896686514799560661289217097385722905029196731146801960882427968018239260866391643097651523560504638233289713972061297846818311753324269573719784109646771978596787924407086623346599805605217348179129760568963922123837746679499886943138921728892573115637310399875277319692520629413147254781999953131084006031749443375564000432551359456897477850422673356229255662494842021839866886947594619730959254770110982674480789791768870769090721838147709248593810632638233166767090227941376476510864667561477308604789448776292123331519168424809134032015234127603168823787730628600226476733378203565528224406419006417919741049241150414209156867222486967442419427797246266731467312946771553153472113445443861566451441669375025481269629024811913993178660804326323776747367902200005164121871756482291048607622987595443251520266380762175937240485771789756333972977904171021207679845622878315289205060337198524298748810762339221978919494450953416577030999285135238262225048622455451987698032844293273992182021612372120453992411531277685458759433069436167430807125585567300198616345039181216409816683042183433629872843617325490437650471906332625879861699486793683712167093273533559608806371330775919610982362559149543134484186175500224102556204276803317640328206815260046535381953499157923276483961935527303580704360949168688904664100312110155929549282895021559899518115142886610114691660898756469460869906807719412226627286873260221202254992989231853630024615488121965528710937113467355174856976752916217922385902186194744066352189522422142326162498054668620406574059438687186498606757396179613351591060461095158375649532109971894}
15996 21915443379809494810455639607169116785080188843663415115174034192: {79955,95946,367379,590483,734666,940283,1162379,1213948,1320779,1415723,1700123,1731683,2172328,2172683,2261066,2427592,2443869,2731041,2737379,2831243,3049979,3143603,3399818,3517379,3589106,3610643,3957832,4044923,4072605,4137779,4230563,4344112,4360629,4452561,4648348,4887126,4908779,4970243,5028508,5191225,5430203,5460803,5521979,5735843,5797473,6036746,6071123,6149605,6224018,6229470,6546268,6644768,6757288,6942165,7158218,7266805,7344626,7379526,7404976,7475364,7601949,7733003,7792979,8088818,8092379,8274506,8330598,8534728,8599523,8608369,8720166,8777963,8785150,9041992,9429779,9518363,9601569,9754826,9930803,10172241,10370963,10381150,10458779,10542180,10562248,10838483,10859018,10957478,10984163,11042546,11100563,11187779,11244992,11321512,11709563,11882529,12112881,12113603,12286283,12297670,12457380,12487379,12650616,12736701,12838312,12974123,13002683,13090888,13287872,13778186,13836453,13848232,13855763,14231943,14352808,14443101,14502218,14727249,14757204,14757779,14948856,15177779,15540323,15579261,15653540,15679403,16122866,16146909,16509683,16619843,16620232,16784843,16817463,17113979,17568100,17931779,17985793,17986043,18148643,18256883,18265586,18419003,18553883,18697761,18784248,18823043,18876779,18975218,19064603,19465763,19630108,19709365,19997843,20735164,20868779,20947523,21052403,21081720,21130979,21132279,21139528,21209483,21652979,21837628,21890728,21912212,22362200,22378403,22398033,22487168,22507283,22891432,23123123,23148683,23184626,23303548,23348017,23378363,23651238,23716935,23781969,23911763,24068805,24214979,24390568,24394629,24627069,24688573,24893003,24914066,24967979,25139272,25157475,25298064,25416323,25489005,25493788,25673392,25693990,25752861,25837379,25944818,26116106,26133203,26216365,26389713,26648123,26664325,26726349,26799818,26834640,26940779,26948188,27188272,27439389,27481226,27835883,27956003,27980003,28128328,28281681,28329746,28339043,28460322,28623616,28743779,28874152,28882566,28980779,29041225,29051723,29334779,29343218,29616683,29667781,29949375,30188970,30364072,30432323,30586806,30778883,30801923,30832788,30924028,31002081,31123643,31192379,31303160,31352483,31416325,31459638,31603283,31603912,31644369,31946000,31997190,32034203,32201568,32347048,32365893,32372363,32439779,32483421,32619203,32684018,32849546,33089608,33287483,33354310,33435964,33442379,33611133,33995605,34130336,34159581,34167323,34168586,34496906,34602443,34849470,34988306,35216055,35269390,35441723,35463083,35554401,35718779,35761283,35888603,35939250,36129866,36205643,36226764,36342453,36390429,36604643,36705700,36709163,36999964,37145963,37172768,37225809,37290779,37332083,37451950,37563792,37587218,37691005,37699590,37845683,37871301,37947803,38008979,38063548,38335200,38396628,38515979,38517448,38530825,38616779,38771164,39009352,39217379,39356483,39477628,39543805,39771443,39831026,39869723,39990218,40025172,40149266,40212896,40535164,40629443,40794726,40822283,40890880,41238748,41452979,41490923,41580669,41731826,41780662,41819364,41887403,41923875,41962523,42203786,42259266,42295953,42298979,42323268,42447165,42447683,42472105,42890723,42945779,43039869,43127100,43264825,43274603,43332129,43347323,43424968,43456163,43669672,43727003,43885521,43888643,44046840,44085323,44263283,44475779,44718800,44739388,44774843,44827379,44942340,45229206,45239508,45258405,45262379,45276976,45287229,45317066,45625226,45658163,45726563,45777779,45783964,46002240,46033393,46083563,46192405,46236990,46239818,46285979,46620779,46662405,46737203,46786979,46983296,46985363,47084123,47362379,47452566,47557403,47766218,47819848,47895923,47938496,48199163,48275632,48436523,48550312,48562379,48565150,48718979,48765803,48853089,48990981,48998843,49029779,49069056,49128381,49214723,49319456,49552695,49672043,49687163,49773232,49909375,49942979,50121865,50207014,50270603,50308650,50313109,50352325,50579723,50754779,50775818,50936598,50966526,50981032,51087083,51358403,51638289,51654268,51682979,51752520,51780923,51822779,51917790,52072403,52401203,52436392,52441979,52711979,52856208,52931373,52952243,53242379,53408245,53631779,53647432,53662560,53666205,53727818,53734403,53797329,53873906,53930808,53936365,54162129,54227363,54310086,54388979,54426083,54598283,54615112,54619101,54793163,54937979,54997979,55033883,55117379,55202688,55212323,55329501,55330283,55378976,55408348,55430886,55484388,55494083,55610123,55644779,55823272,55904018,55994886,56122403,56460165,56491150,56542379,56622218,56737283,56797341,56815405,56865779,57213203,57240064,57243952,57251005,57254723,57353661,57409283,57479306,57512008,57642779,57822563,57905906,58038779,58047818,58067963,58221585,58278180,58403123,58468979,58497083,58608779,58614026,58639405,58654979,58855883,58882979,58910003,58990941,59249805,59254763,59384123,59431316,59438152,59459365,59463234,59553803,59578979,59599346,59678963,59686660,59891250,59923883,60091043,60146238,60161603,60224176,60239243,60262379,60323723,60353361,60370380,60414779,60422790,60471388,60600779,60643005,60672159,60748833,60838643,60902003,60936923,60957779,60994706,61006163,61049365,61081403,61142243,61261979,61307843,61327379,61442001,61548818,61568603,61686986,61810043,61908779,61948763,62010803,62066363,62103024,62158979,62163392,62175083,62212379,62290979,62301348,62332163,62375666,62515979,62587379,62679779,62693363,62801181,62863403,62905043,62924018,62937779,62966003,63025163,63166979,63177683,63199792,63212843,63264083,63293963,63319979,63351779,63397979,63456779,63476603,63478108,63490523,63525779,63546803,63572363,63648779,63660081,63675323,63677483,63748043,63766403,63777909,63787379,63790763,63810748,63815123,63841979,63866605,63878603,63880979,63884000,63892379,63894563,63907979,63910883,63935243,63939443,63952379,63953843,63959723,63962963,63964283,64089894,64395072,64399446,64450976,64478725,64685872,64701009,64713928,64723638,64825106,65379333,65631218,65761990,65973873,65989150,66164061,66165746,66791548,66867921,67158518,67578568,67752198,67789380,68149706,68178486,68411786,68701206,69089845,69421564,69483208,69865902,69933816,70367286,70872818,71000906,71099766,71146408,71349949,71351238,71623992,71707708,71869500,71875870,72111093,72308672,72320017,72444456,72507348,72771606,72803169,72904946,73259238,73407218,73410805,73753672,74409853,74515605,74699848,74776586,75271708,75408808,75517988,75881128,75952749,76025889,76639926,76660800,76796629,77051950,77100818,77374470,77532232,78168609,78183626,78540325,78595069,78675543,78709672,78780146,78914388,79186980,79483312,79609226,80039709,80152165,80576991,80825032,81059752,81347256,81411405,81500013,81662428,81771520,81787150,81939146,82508905,82532768,82854986,82907814,82935208,82972881,83242108,83637448,84037329,84162165,84211466,84466112,84572872,84659018,84814588,84834909,84901880,84941950,84965716,85366269,85740712,86243400,86251044,86379868,86838832,86862218,86963569,87223761,87295946,87783933,87838792,88092966,88236129,88476818,88548381,88559164,88769608,88901906,89113586,89179228,89192365,89418726,89535218,89772976,89943205,90206373,90253581,90475466,90590365,90928161,90984849,91192221,91318405,91515663,91917865,91992960,92118218,92251048,92386789,92450365,92462340,92624018,92849364,93226226,93302109,93348321,93525386,93945700,94021106,94092129,94101928,94248390,94709066,95024376,95144481,95163782,95514615,95620348,95940740,96063818,96159506,96182598,96458301,96594157,96870568,96884229,97023825,97135228,97390346,97525221,97693686,97851165,97950218,98125824,98144580,98626496,98665705,98818641,99010686,99236426,99243964,99254965,99327218,99530673,99534673,99865809,...,1024542940575600837067932090921089828122212461306820433897155936124586651843709309575117996175000452577743975412774648692687408070098516672853235120114543558752150379786107595877897816770827049981859583995302382618301726229575512690639008362641513014189717227387513471002589254933405028271472634832805586092970908087418435430201362823635209230448470355231176412725424058660718569901159405786670589210178204450207521754091673381037569523260689039582734216746999848274915372030735729402103858564997055663504785160368472893522426081066183346605654333482946794778411213338348039076377642530864536833922305940965473102197243289153364869809337188677002863210911418043358535611576449409571844009849325723911153420522627083325593209271656880772682321384757321984222003760061387251084935276670587357000484111796704007769639848167941461338222363757301038232733898512135878115669064258456841444314737968699261224162564909276868325025870261963651345029772199340991933825646078584357543795096720202941323641952027358891299587464646477285340756957349934570958091946770227467629986404360579676164470157967895181886610629935019899708407826022268694640853445883185756620019249830414708382593338859673455965599812915979538780944119720882172999929696626009047624165063346000648827039185346216775634010034343883493742263032759800330421391929596438882155166474011721184687653306153636082757221563872890715948957349750150635341912064714766297001342215962907184173164438184997278752637213701048022851191404753235681595942900339715100067305348292336609628509626879611573861725621313735300833730451163629141695869400097200969420157329730208170168165792349677162504062538221904443537217870989767991206489485665121051853300007746182807634723436572911434481393164877280399571143263905860728657684634500959466856256531811519768434317472933807590505797786448123216143508832968379241676430124865546498927702857393337572933683177981547049266439910988273032418558180680988617296916528188139149604154251146210688378350950297924517558771824614725024563275150444809265425988235656475707859498938819792549230190525568250639910300339413209556996163879416473543838724314701726279263250336153834306415204976460492310222890069803072930248736884914725942903290955371056541423753033356996150468165233894323924342532339849277172714329915172037491348134704191304860211579118339940930309890331803382489483847780445036923232182948293066405670201032762285465129374326883578853279292116099528284283633213489243747082002930609861089158030779747910136094269420027386590691642737563474298164957841}
15997 22011311761313257770557849157921729461020094112711730496199813513: {127928,143919,1101999,1517435,1820922,1900787,2124143,2284139,2699099,2715410,3034490,3258492,3391599,3463103,3641388,3801098,3865466,4567706,4947290,5099727,5383659,5430140,5761199,5810435,5814172,5912627,5936748,6285635,6479354,6516168,6972522,7330689,7467887,7542762,7729964,7911743,8182835,8305960,8446610,9055119,9241967,9256220,9336027,9344205,9543482,9737507,9819402,9839368,9906323,9967152,10135932,10309514,10668410,10737327,11016939,11069289,11107464,11213046,11233523,11302490,11454527,11626888,11649947,11732303,12117203,12133227,12411759,12414923,12495897,12558707,12626939,12778139,12802092,13080249,13177725,13202810,13562387,13562988,13823183,14056240,14151890,14327363,14542703,14632239,14687699,15571725,15813270,15843372,16047890,16150508,16288527,16363610,16436217,16478858,16508003,16563819,16609840,16867488,16953563,16982268,17157179,17310290,17845199,17941010,18124907,18446505,18448604,18497087,18686070,18975924,19036523,19154387,19257468,19566925,19636332,19676272,19740587,19931808,20030003,20033507,20667279,20772348,20775290,21225359,21264659,21341747,21355043,21368666,21458543,21529212,21753327,21798587,21960125,21996863,22084907,22135806,22155023,22216178,22325939,22423284,22464218,23193983,23480310,23789738,24149123,24184299,24425882,24512687,24537635,24612287,24856106,24930348,25045664,25264883,25918955,26145059,26352150,26424410,26568563,26697779,26806034,26868299,27297035,27363410,27390265,27398379,27653423,27672707,27800627,27952750,28054619,28108960,28139483,28176372,28303667,28370639,28462827,28614290,28953407,29035226,29093903,29129435,29268683,29445162,29864044,30467963,30488210,30895643,31102746,31193627,31424090,31534984,31622580,31709292,31867235,31933514,32068922,32091740,32148047,32526172,32756442,32836092,32868318,33543300,33685235,33702767,33730752,33902858,33985340,34133183,34337148,34338707,34557743,34711883,34776939,34955322,35160410,35186284,35421587,35476857,35635132,35779520,35986346,36092690,36238379,36401699,36585852,37184459,37371099,37374458,37708908,37947096,37955090,37996847,38210963,38240682,38399498,38510088,38540985,38655035,38810522,38907263,38917227,39128950,39174159,39504890,39617354,39619619,39711962,39932500,40199727,40251960,40422282,40430507,40433810,40476266,40782408,41110384,41221839,41336108,41362010,41703506,41740403,41794955,41842367,41946184,42192492,42231587,42241178,42481523,42494619,42662920,42690483,42910787,42935424,43154524,43187882,43265339,43311228,43323849,43395194,43551578,43647083,43804643,43828907,44014827,44608403,44814844,45283455,45546108,45553763,45691139,45770447,45880209,45881843,45882125,46249182,46249955,46386042,46420163,46465960,46941503,46954740,47189457,47405868,47579435,47788223,47919000,47995785,48080114,48146810,48302352,48456604,48463955,48520572,48758267,48761690,48845363,48916562,49026027,49274319,49347035,49634412,49850459,50031465,50085056,50088458,50130299,50153946,50266120,50323007,50495068,50668955,51113600,51195504,51252879,51336779,51425603,51548435,51745359,51797147,51932666,52008383,52274205,52375538,52482459,52543907,52604303,52696154,52904085,52947983,53366896,53499506,53729834,53908875,54194799,54281210,54325883,54340146,54392968,54433754,54473987,54521618,54587090,54953279,55058550,55299818,55440892,55499946,55759152,55898500,55924235,56177925,56345688,56379227,56380827,56394604,56431024,56549385,56596220,56600138,56624687,57095322,57115187,57141323,57229955,57291023,57386492,57502800,57594942,57776172,58010843,58111658,58156746,58514028,58729120,59131247,59216442,59265083,59746539,59774810,59923120,59985327,60037758,60223899,60305608,60319344,60344540,60382972,60664202,60687890,60797807,60802746,61192089,61305578,61336320,61649320,61858122,62216540,62253107,62597739,62670993,62729046,62927546,63053903,63071243,63209903,63270088,63305679,63388899,63484902,63726290,63765299,64482683,64534463,64563707,64567835,64690650,65065583,65137452,65321308,65362367,65425408,65504508,65545490,65982707,66070260,66395987,67048586,67059290,67078200,67109082,67413510,67840703,67843809,67859262,67915464,67955368,67975599,68268890,68420858,68437839,68523899,68549507,68675946,68851052,68870963,69003360,69105746,69223720,69260435,69262643,69355485,69359727,69547898,69779090,70250618,70474944,70575164,70721903,70927283,71108882,71178849,71470799,71550080,71554940,71649327,71729772,71890010,71907744,72059723,72216172,72413448,72568307,72794234,72825468,72847725,73058723,73182767,73218266,73547162,73603584,73772668,73907848,73918799,73979184,74001263,74289145,74297690,74608325,74659848,75002063,75023123,75280220,75310521,75441263,75462975,75589235,75729788,75983978,76163727,76404897,76449789,76471548,76858943,76942403,77323466,77481402,77628780,77673407,77677379,77704240,77876685,78418106,78551354,78654588,78999740,79284312,79347635,79763435,79852559,79855000,80194984,80206787,80471148,80493840,80563720,80591727,80719667,80810859,80857340,80892410,80896212,80998444,81234179,81465129,81723626,81922668,81957074,82339187,82435082,82804032,82865963,83068464,83112522,83146329,83226582,83364107,83470298,83489435,83734908,83856027,83992329,84473210,84736725,84761747,84880108,84933327,85037212,85453192,85860096,85865928,86218959,86268012,86298184,86776955,86854010,86858859,86877626,87071727,87172444,87208019,87283178,87417270,87536579,87602063,87921039,87965164,87979283,88056923,88120394,88218748,88324883,88920458,88933010,89130959,89146974,89157228,89194851,89264402,89399019,89500619,89529990,89618747,89634635,89836875,90141083,90219357,90336264,90383027,90385840,90555570,90634185,90707082,90904648,90982703,91096058,91327754,91408943,91492059,91601608,91799627,92192090,92245907,92323227,92530479,92576303,92896463,93056929,93154536,93177947,93245088,93374810,93376367,93452022,93563499,93823048,94089635,94261010,94326203,94369859,94386027,94397485,94447487,94799688,94851410,95063666,95134984,95217162,95271707,95407442,95498656,95716122,95761967,95826000,96134841,96148124,96592608,96599169,96676464,96915290,96969386,97028808,97070892,97085457,97214738,97237659,97266623,97678984,97941683,98111507,98387090,98403983,98420954,98446827,98642985,98732627,98891819,98963987,98983725,99248619,99354140,...,1366057254100801116090576121228119770829616615075760578529541248166115535791612412766823994900000603436991967217032864923583210760131355563804313493486058078336200506381476794503863755694436066642479445327069843491068968306100683587518677816855350685586289636516684628003452339911206704361963513110407448123961210783224580573601817098180278973931293806974901883633898744880958093201545874382227452280237605933610029005455564508050092697680918719443645622329333131033220496040980972536138478086662740884673046880491297191363234774754911128807539111310595726371214951117797385435170190041152715778563074587953964136262991052204486493079116251569337150947881890724478047482101932546095792013132434298548204560696836111100790945695542507696909761846343095978962671680081849668113247035560783142667312149062272010359519797557255281784296485009734717643645198016181170820892085677942455259086317291599014965550086545702491100034493682618201793373029599121322578434194771445810058393462293603921764855936036478521732783286195303047121009276466579427944122595693636623506648539147439568219293543957193575848814173246693199611210434696358259521137927844247675493358999773886277843457785146231274620799750554639385041258826294509563999906262168012063498886751128000865102718913794955700845346712458511324989684043679733773895189239461918509540221965348961579583537741538181443676295418497187621265276466333534180455882752953021729335122954617209578897552584246663038336849618268064030468255206337647575461257200452953466756407131056448812838012835839482098482300828418313734444973934884838855594492533462934625893543106306944226890887723132902883338750050962539258049623827986357321608652647553494735804400010328243743512964582097215245975190886503040532761524351874480971543579512667945955808342042415359691245756630578410120674397048597497621524678443957838988901906833154061998570270476524450097244910903975396065688586547984364043224744240907984823062555370917518866138872334861614251171134600397232690078362432819633366084366867259745687234650980875300943812665251759723398973587367424334186547067119217612742661551839221964725118299086268968372351000448205112408553606635280656413630520093070763906998315846552967923871054607161408721898337377809328200624220311859098565790043119799036230285773220229383321797512938921739813615438824453254573746520442404509985978463707260049230976243931057421874226934710349713953505832435844771804372389488132704379044844284652324996109337240813148118877374372997213514792359226703182120922190316751299064219943788}
15998 22107596245745556122589815447749303804278412840137019328252129152: {111937,159910,191892,734758,972157,1180966,1257601,1469332,1542397,1731901,1880566,2204401,2324758,2427896,2641558,2731383,2831446,2862877,3331057,3400246,3463366,4073115,4262017,4344656,4345366,4522132,4551735,4855184,4887738,5185777,5277757,5461501,5462082,5474758,5662486,5701647,5798199,5919601,6099958,6193597,6287206,6787675,6799636,6830401,6851559,7034758,7102237,7178212,7221286,7267715,7420935,7553857,7915664,8089846,8145210,8275558,8451697,8461126,8609447,8688224,8721258,8808817,8905122,9296696,9342337,9662455,9719031,9774252,9817558,9940486,10057016,10173527,10382450,10458783,10577137,10839901,10860406,10921606,11043958,11102017,11276401,11314143,11471686,11537437,11570275,11594946,12073492,12142246,12299210,12316657,12448036,12458940,12669915,13004401,13092536,13261117,13289536,13514576,13687537,13884330,14112157,14315223,14316436,14533610,14534977,14689252,14729103,14759052,14809952,14950728,15203898,15464271,15466006,15585958,15709297,15959101,16002615,16177636,16184758,16549012,16661196,16787101,16819569,16953735,17069456,17199046,17216738,17362417,17440332,17555926,17570300,17771197,18083984,18178177,18859558,19036726,19203138,19509652,19804215,19861606,20188135,20344482,20741926,20762300,20917558,21055297,21084360,21124496,21227835,21676966,21718036,21914956,21968326,22085092,22201126,22375558,22381501,22489984,22613377,22643024,22767601,22998397,23060755,23151901,23419126,23719905,23763037,23765058,24071835,24225762,24227206,24545415,24572566,24595340,24718287,24896497,24914760,24974758,25270717,25301232,25473402,25568797,25676624,25948246,25965435,26005366,26181776,26575744,26911515,27556372,27593111,27672906,27696464,27711526,27839857,27984001,28029105,28463886,28705616,28886202,29004436,29454498,29514408,29515558,29897712,30355558,30806401,31080646,31151101,31158522,31162935,31307080,31357057,31358806,31630657,32052999,32245732,32293818,32309617,32827663,33019366,33203709,33239686,33240464,33324267,33569686,33634926,33696327,33975517,34227958,34368637,35018077,35061923,35136200,35220465,35468401,35596417,35684607,35787901,35863558,35971586,35972086,35978737,36232177,36297286,36421501,36513766,36531172,36638823,36702911,36838006,37107766,37284159,37330055,37395522,37482097,37568496,37646086,37753558,37950436,38129206,38931526,39183601,39260216,39418730,39528225,39636615,39777601,39995686,40071901,40114675,40209051,40655101,40657715,41045115,41116477,41470328,41516401,41737558,41895046,41912797,41929125,42104806,42163440,42261958,42264558,42279056,42418966,42472957,42481675,42921435,43305958,43354237,43552839,43675256,43781456,43824424,43841857,43982855,44110237,44163697,44167743,44543915,44694337,44724400,44756806,44796066,44974336,45014566,45476797,45579901,45732315,45782864,46246246,46297366,46369252,46607096,46654119,46696034,46756726,47091901,47136135,47302476,47433870,47563938,47593847,47823526,47900271,48103383,48137610,48207217,48429958,48444637,48781136,48789258,48867457,49134663,49238401,49254138,49302477,49376317,49377146,49695601,49786006,49828132,49915625,49935958,50278544,50279197,50314950,50596128,50832646,50854287,50978010,50987576,51346784,51367297,51387980,51505722,51670135,51674758,51789937,51889636,52164157,52232212,52266406,52432730,52432983,52740615,52767407,52779426,53296246,53328650,53452698,53486401,53599636,53669280,53756797,53881558,53896376,53943155,53979519,54139035,54376544,54693697,54878778,54962452,55055857,55340401,55361327,55620337,55671766,55912006,55960006,55963777,56018555,56061687,56199901,56256656,56300017,56563362,56659492,56678086,56920644,56932635,56950897,57247232,57361023,57389377,57487558,57599247,57748304,57765132,57843517,57961558,58079101,58082450,58103446,58215783,58423837,58669558,58686436,58693425,59233366,59240317,59257335,59318401,59335562,59395837,59426031,59460947,59567943,59898750,60251377,60343537,60377940,60570755,60633423,60650715,60714399,60728144,60787057,60808477,60851101,60864646,61018717,61100797,61173612,61221757,61320577,61359601,61417597,61557766,61587697,61603846,61665576,61848056,61961917,62004162,62043015,62046337,62193757,62241601,62247286,62384758,62555259,62606320,62643037,62704966,62711617,62791537,62832650,62881501,62919276,62967937,62979997,63039217,63096637,63118835,63119101,63206566,63207824,63278401,63288738,63308317,63361767,63375601,63403357,63507901,63524317,63564097,63587101,63645277,63692401,63711517,63770557,63841117,63875101,63882877,63886657,63892000,63939901,63994380,64068406,64403136,64669367,64694096,64731786,64744726,64781823,64879558,64966842,65092791,65238406,65327367,65368036,65699092,66179216,66574966,66708620,66871928,66884758,67222266,67991210,68260672,68319162,68334646,68337172,68993812,69204886,69301115,69373773,69579063,69698940,69873125,69976612,70170611,70432110,70493255,70538780,70745275,70883446,70926166,71108802,71437558,71522566,71733115,71777206,71878500,72120171,72220215,72259732,72411286,72453528,72684906,72780858,73142535,73209286,73374843,73411400,73418326,73999928,74291926,74345536,74451618,74581558,74664166,74771543,74903900,75127584,75132687,75174436,75230919,75382010,75399180,75430675,75478715,75510911,75691366,75742602,75895606,76017958,76127096,76670400,76793256,77031958,77034896,77061650,77233558,77542328,77770675,77898999,78018704,78434758,78563307,78712966,78955256,79044231,79087610,79541567,79542886,79662052,79739446,79980436,80050344,80151407,80249259,80298532,80425792,80594751,81070328,81258886,81421815,81510219,81589452,81644566,81650631,81651635,81781760,81782427,81880635,82095167,82477496,82587825,82905958,82949727,82981846,83161338,83243111,83249919,83463652,83561324,83638728,83774806,83847750,83925046,84322667,84407572,84518532,84591906,84597958,84646536,84894330,84895366,84900207,84944210,85469111,85642983,85781446,85891558,86063815,86079738,86254200,86392413,86529650,86549206,86664258,86694646,86849936,86912326,87167487,87235119,87339344,87454006,87771042,87777286,88093680,88170646,88218955,88526566,88824663,88951558,89413247,89437600,89443675,89478776,89549686,89654758,89662215,89884680,90056637,90270215,90458412,90479016,90516810,90524758,90553952,90574458,90634132,90996303,91031835,91204119,91250452,91316326,91453126,91555558,91567928,91958367,92004480,92066786,92167126,92215835,92384810,92473980,92479636,92571958,92787183,93241558,93324810,93474406,93573958,93966592,93970726,94093569,94100275,94168246,94391319,94662235,94724758,94905132,95114806,95227353,95532436,95589435,95639696,95791846,95876992,96398326,96551264,96725783,96873046,97035975,97100624,97124758,97130300,97437958,97531606,97706178,97981962,97997686,98059558,98138112,98256762,98318235,98429446,98638912,98749675,99105390,99344086,99374326,99546464,99818750,99885958,...,2049085881151201674135864181842179656244424922613640867794311872249173303687418619150235992350000905155487950825549297385374816140197033345706470240229087117504300759572215191755795633541654099963719167990604765236603452459151025381278016725283026028379434454775026942005178509866810056542945269665611172185941816174836870860402725647270418460896940710462352825450848117321437139802318811573341178420356408900415043508183346762075139046521378079165468433493999696549830744061471458804207717129994111327009570320736945787044852162132366693211308666965893589556822426676696078152755285061729073667844611881930946204394486578306729739618674377354005726421822836086717071223152898819143688019698651447822306841045254166651186418543313761545364642769514643968444007520122774502169870553341174714000968223593408015539279696335882922676444727514602076465467797024271756231338128516913682888629475937398522448325129818553736650051740523927302690059544398681983867651292157168715087590193440405882647283904054717782599174929292954570681513914699869141916183893540454935259972808721159352328940315935790363773221259870039799416815652044537389281706891766371513240038499660829416765186677719346911931199625831959077561888239441764345999859393252018095248330126692001297654078370692433551268020068687766987484526065519600660842783859192877764310332948023442369375306612307272165514443127745781431897914699500301270683824129429532594002684431925814368346328876369994557505274427402096045702382809506471363191885800679430200134610696584673219257019253759223147723451242627470601667460902327258283391738800194401938840314659460416340336331584699354325008125076443808887074435741979535982412978971330242103706600015492365615269446873145822868962786329754560799142286527811721457315369269001918933712513063623039536868634945867615181011595572896246432287017665936758483352860249731092997855405714786675145867366355963094098532879821976546064837116361361977234593833056376278299208308502292421376756701900595849035117543649229450049126550300889618530851976471312951415718997877639585098460381051136501279820600678826419113992327758832947087677448629403452558526500672307668612830409952920984620445780139606145860497473769829451885806581910742113082847506066713992300936330467788647848685064679698554345428659830344074982696269408382609720423158236679881860619780663606764978967695560890073846464365896586132811340402065524570930258748653767157706558584232199056568567266426978487494164005861219722178316061559495820272188538840054773181383285475126948596329915682}
15999 22204298625043294485521438668081707900228700193179227345181775523: {239865,255856,287838,1102137,1771449,1836665,2124409,2203998,2699437,2820849,2986577,3034870,3487137,3641844,3801574,3962337,4247169,4248286,4568278,5090921,5100369,5195049,5398198,5430820,5652665,6068980,6239969,6516984,6518049,6783198,6926206,7282776,7331607,7602196,7730932,8134609,8193123,8212137,8493729,8499545,8799889,8972765,9135412,9149937,9430809,9894580,10199454,10552137,10767318,10831929,10860280,11455969,11522398,11620870,11628344,11825254,11873496,12134769,12217815,12413337,12571270,12691689,12958708,13020529,13032336,13081887,13357683,13865449,13945044,14661378,14726337,14910729,14935774,15085524,15091865,15101437,15315457,15459928,15560045,15573675,15823486,15970769,16290609,16336489,16365670,16382409,16565937,16611920,16893220,17207529,17392419,17650457,17895545,18110238,18213369,18361565,18448815,18450121,18483934,18512440,18672054,18688410,18691937,19086964,19410137,19475014,19638804,19678736,19812646,19934304,20036029,20222045,20257249,20271864,20619028,20686265,20826495,21336820,21474654,21703049,21800415,21962875,22033878,22063009,22138578,22214928,22426092,22467046,22497709,22604980,22805847,22909054,23199009,23253776,23299894,23378937,23464606,23867401,24234406,24266454,24277137,24387065,24823518,24829846,24991794,25117414,25253878,25327129,25556278,25604184,25798569,25825107,25952875,26160498,26183209,26333889,26355450,26405620,27124774,27125976,27147545,27267677,27393695,27606365,27646366,28112480,28289337,28303780,28555089,28654726,28804707,29085406,29264478,29375398,29423137,29792409,30080137,30516723,30744175,31071289,31112889,31127921,31143450,31376337,31626540,31686744,32095780,32301016,32515449,32520689,32577054,32727220,32872434,32952489,32957716,33016006,33026377,33127638,33189497,33219680,33301689,33528937,33563337,33734976,33907126,33964536,34219097,34314358,34352689,34445465,34620580,35128689,35647587,35690398,35882020,35888557,36249814,36255545,36286537,36338643,36340809,36858849,36893010,36897208,36994174,37372140,37462137,37951848,38073046,38210103,38215849,38240009,38308774,38346371,38514936,38912161,38922369,39008049,39133850,39272664,39352544,39355217,39481174,39863616,40060006,40067014,40307165,40781209,40840969,40988861,41334558,41404121,41509359,41544696,41550580,41567289,42450718,42529318,42683494,42695829,42710086,42737332,42916189,42917086,43058424,43329303,43449857,43506654,43597174,43920250,43993726,44169814,44181747,44271612,44273337,44310046,44432356,44471537,44614129,44651878,44846568,44928436,45533337,45663965,45776209,46247057,46387966,46494269,46620969,46737783,46960620,47038209,47159329,47200009,47438045,47579476,48088529,48298246,48368598,48440727,48851764,48985249,49025374,49075270,49224574,49529049,49678649,49712212,49859529,49860696,50091328,50354529,50452389,50529766,51273377,51341937,51837910,52290118,52704300,52848820,52994897,53137126,53395558,53587561,53612068,53736598,53795337,53934169,53957379,53958129,54117049,54445929,54594070,54644777,54726820,54770649,54780530,54796758,55257009,55281761,55306846,55345414,55601254,55661649,55905500,56093283,56109238,56217920,56278966,56352744,56469129,56607334,56630337,56741278,56925654,57193809,57228580,57890929,57906814,57961565,58070452,58187806,58258870,58397289,58512937,58537366,58890324,59078317,59128095,59701697,59728088,59993529,60438649,60722369,60935926,60976420,61718921,61791286,62205492,62285165,62381789,62387254,62574889,62606337,62842569,62848180,62880137,63069968,63157209,63245160,63392937,63396837,63418584,63628449,63734470,63867028,64137844,64183480,64234975,64296094,64749937,64862045,64958937,65036249,65052344,65290265,65512884,65672184,65736636,66147889,66611209,66999545,67086600,67124177,67135209,67194099,67370470,67405534,67461504,67521849,67805716,67849537,67970680,68266366,68558269,68674296,68677414,68703065,69085849,69115486,69369369,69423766,69446049,69553878,69910644,70044051,70135089,70320820,70372568,70824365,70843174,70936537,70953714,71150805,71270264,71345907,71559040,71735289,71757521,71972692,72068881,72167809,72185380,72206415,72476758,72644937,72803398,73171704,73183887,73358045,73881207,74039377,74065719,74368918,74518249,74679009,74742198,74748916,74903937,75417816,75472425,75894192,75910180,75993694,76248969,76421926,76424521,76467015,76481364,76533929,76798996,76895689,77020176,77081970,77258583,77310070,77512137,77566369,77621044,77814526,77834454,78257900,78293929,78348318,78399609,78649095,78737417,79009780,79169139,79234708,79239238,79253549,79423924,79865000,79944369,79992975,80121937,80179047,80399454,80503920,80822337,80844564,80861014,80867620,80952532,81377689,81564816,81710045,81971081,82123865,82220768,82225529,82318167,82443678,82672216,82724020,82852577,83385775,83407012,83480806,83507649,83589910,83684734,83699297,83868009,83892368,83940009,84384984,84463174,84482356,84845043,84963046,84989238,85017129,85325840,85380966,85421465,85821574,85870848,86231337,86242265,86309048,86375764,86506289,86530678,86622456,86647698,86790388,86942337,87103156,87123675,87155169,87294166,87470765,87609286,87657814,88004337,88029654,88173475,88580857,88641377,88850049,89003343,89216806,89629688,89848125,90111149,90324665,90394969,90566910,91092216,91107526,91296969,91382278,91540894,91760418,91763686,91764250,92336649,92405769,92498364,92499910,92772084,92840326,92931920,93006243,93171649,93370929,93577137,93629875,93789629,93883006,93909480,93968045,94057449,94248975,94378914,94538209,94809849,94811736,94933107,95158870,95576446,95838000,95991570,96102609,96160228,96293620,96577181,96604704,96913208,96927910,96964609,97041144,97097679,97117089,97319337,97450263,97516534,97523380,97690726,97833124,97857609,98052054,98416561,98548638,98694070,99268824,99444257,99577565,99700918,99862449,99975545,...,3073628821726802511203796272763269484366637383920461301691467808373759955531127928725353988525001357733231926238323946078062224210295550018559705360343630676256451139358322787633693450312481149945578751985907147854905178688726538071917025087924539042569151682162540413007767764800215084814417904498416758278912724262255306290604088470905627691345411065693529238176272175982155709703478217360011767630534613350622565262275020143112708569782067118748202650240999544824746116092207188206311575694991166990514355481105418680567278243198550039816963000448840384335233640015044117229132927592593610501766917822896419306591729867460094609428011566031008589632734254130075606834729348228715532029547977171733460261567881249976779627814970642318046964154271965952666011280184161753254805830011762071001452335390112023308919544503824384014667091271903114698201695536407634347007192775370524332944213906097783672487694727830604975077610785890954035089316598022975801476938235753072631385290160608823970925856082076673898762393939431856022270872049803712874275840310682402889959213081739028493410473903685545659831889805059699125223478066806083922560337649557269860057749491244125147780016579020367896799438747938616342832359162646518999789089878027142872495190038001946481117556038650326902030103031650481226789098279400991264175788789316646465499422035163554062959918460908248271664691618672147846872049250451906025736194144298891004026647888721552519493314554991836257911641103144068553574214259707044787828701019145300201916044877009828885528880638834721585176863941205902501191353490887425087608200291602908260471989190624510504497377049031487512187614665713330611653612969303973619468456995363155559900023238548422904170309718734303444179494631841198713429791717582185973053903502878400568769595434559305302952418801422771517393359344369648430526498905137725029290374596639496783108572180012718801049533944641147799319732964819097255674542042965851890749584564417448812462753438632065135052850893773552676315473844175073689825451334427796277964706969427123578496816459377647690571576704751919730901018239628670988491638249420631516172944105178837789751008461502919245614929381476930668670209409218790746210654744177828709872866113169624271259100070988451404495701682971773027597019547831518142989745516112474044404112573914580634737355019822790929670995410147468451543341335110769696548844879199217010603098286856395388122980650736559837876348298584852850899640467731241246008791829583267474092339243730408282808260082159772074928212690422894494873523}
16000 22301420698800008398007665284642784898524999721405959521724807529: {223874,319820,383784,431757,463159,654319,1469516,1795231,1944314,2361932,2515202,2938664,3019519,3084794,3113191,3305997,3463802,3580471,3673711,3761132,3766879,3952999,4138831,4231639,4408802,4552305,4649516,4855792,4971511,5283116,5462766,5523391,5615119,5662892,5702361,5725754,6372429,6528439,6662114,6710239,6788525,6800492,6852417,6926732,6982399,7586225,7794991,8097297,8146230,8524034,8601751,8689312,8690732,9044264,9047431,9103470,9225199,9491311,9502745,9663665,9710368,9775476,9845119,10174797,10174801,10371554,10389309,10555514,10724599,10923002,10924164,10949516,11324972,11403294,11419265,11596398,11770471,11839202,12199916,12368225,12387194,12548071,12574412,12720079,13063231,13527437,13575350,13599272,13660802,13703118,14069516,14204474,14255191,14356424,14442572,14535430,14761711,14841870,15107714,15299181,15433039,15683599,15831328,15850279,16150977,16179692,16198385,16290420,16431391,16514119,16551116,16903394,16922252,17218894,17283597,17376448,17431305,17442516,17583031,17617634,17737881,17810244,17990911,18153559,18558919,18593392,18684674,18801271,18856905,18881911,19123399,19324910,19438062,19548504,19635116,19880972,19923679,20003311,20082871,20114032,20347054,20558719,20764900,20917566,20953279,21110599,21116525,21154274,21502639,21679802,21720812,21843212,21892879,21992067,22087916,22204034,22403661,22436191,22552802,22628286,22943372,23074874,23140550,23189892,23206231,23735229,23858705,24146984,24272191,24284492,24548505,24598420,24633314,24896072,24917880,25339830,25773785,25844671,26008802,26140591,26185072,26522234,26579072,26671025,26948431,27029152,27165357,27375074,27385399,27725901,27768660,28008081,28032615,28035991,28224314,28256225,28263389,28630446,28632872,28823239,29036431,29067220,29069954,29178199,29212521,29378504,29458206,29518104,29619904,29672119,29718969,29901456,30407796,30787831,30856951,30928542,30932012,31171916,31418594,31612519,31918202,32005230,32088799,32211981,32285057,32355272,32369516,32426839,32897071,33007025,33050817,33098024,33164191,33207867,33322392,33496471,33574202,33639138,33700569,33907470,34090039,34138912,34221151,34286599,34363581,34398092,34433476,34612759,34724834,34880664,34949841,35111852,35140600,35195311,35196909,35379725,35516431,35542394,35772031,36167968,36342919,36351609,36356354,36399681,36689741,37235277,37244769,37343431,37487691,37676121,37719116,37775359,37880817,37959391,38073452,38334417,38406276,38568151,38628631,38796329,38989999,39019304,39240747,39408319,39533175,39608430,39723212,39823111,39882079,40119725,40376270,40687161,40688964,40873519,40909025,41046319,41197145,41469549,41483852,41503951,41524600,41835116,42110594,42168720,42181759,42248992,42349591,42455670,42461119,42738679,42982089,43275725,43353932,43397479,43436072,43628109,43829912,43896717,43936652,43992271,44063097,44170184,44402252,44751116,44763002,44841871,44852525,44979968,45226754,45259759,45286048,45311671,45535202,45673039,45996794,46030879,46121510,46303802,46334791,46385191,46715175,46785799,46838252,47033839,47426959,47439810,47526074,47530116,47911879,48103831,48143670,48151639,48451524,48454412,48578671,48719719,48865581,49046311,49090830,49145132,49190680,49308651,49436574,49524009,49643479,49688911,49691457,49792994,49829520,49949516,50183911,50541434,50602464,50860689,50946804,51137594,51190759,51353248,51404599,51471537,51616639,51868711,51896492,51930870,51938225,52010732,52262077,52363552,52770799,52970959,53151488,53248159,53421665,53535597,53676631,53823030,54374721,54581239,54654751,54837271,55112744,55125559,55186222,55303399,55339515,55345812,55392928,55423052,55491261,55540445,55679714,55860391,55894591,55968002,56058210,56160545,56497879,56758519,56887111,56920801,56927772,57109569,57172231,57203551,57234799,57411232,57451519,57463161,57604159,57754999,57772404,58008872,58109671,58510351,58566439,58700775,58760479,58896919,58908996,59028816,59031116,59190751,59221761,59373199,59424679,59450311,59474345,59577391,59752279,59795424,60090009,60100521,60439231,60551551,60711116,60749191,60961951,61064705,61147279,61187671,61575997,61594399,61612802,61812559,61935031,61952239,61986439,62001837,62140265,62161292,62201719,62281279,62302202,62317044,62325870,62359039,62361481,62464879,62509159,62538319,62614160,62624071,62707231,62714114,62717612,62916319,62941159,63001999,63261314,63279199,63348751,63432991,63441991,63519751,63552439,63676077,63705151,63736831,63748999,63793977,63821071,63911791,63925471,63940951,63970759,63978391,63984871,63986311,63991351,63993439,64025241,64065129,64105998,64375629,64491464,64587636,64619234,65259981,65395761,65655326,65880375,65990589,66038732,66061025,66254721,66407418,66465069,66479372,66480928,66648534,66977817,67015085,67139372,67269852,67392654,67951034,68408525,68455916,68737274,69581949,69881875,70036154,70123846,70272400,70440930,70936802,71192834,71369214,71535725,71575802,71727116,71943172,71944172,71957474,72338189,72447369,72464354,72552897,72588065,72594572,72843002,73027532,73062344,73277646,73405822,73538061,73612905,73676012,73836861,74215532,74568318,74660110,74791044,74964194,75136992,75292172,75507116,75520417,75794649,75900872,76220525,76258412,77756865,77863052,78367202,78425977,78435177,78520432,78560225,78837460,79056450,79063457,79273230,79555202,79705689,79833785,79991372,80093337,80143802,80172305,80229350,80418102,80604897,81310202,81315430,81891105,82090230,82170795,82195137,82232954,82940656,82960269,83018121,83032802,83401881,83475116,83790092,83825594,83858250,84163857,84209612,84326880,84418449,84523916,84529116,84558112,84757145,84799057,84837932,84911001,84945914,84963350,85111917,85388481,85842870,86611916,86708474,86860221,87105678,87281709,87350512,87388305,87562912,87648848,87683714,87806049,87901025,87965710,88220474,88327394,88335486,88366369,89087830,89388674,89448800,89513612,89592132,89948672,89965865,90029132,90231725,90953594,91159802,91403889,91464630,91565728,92492492,92594732,92686929,92738504,93214192,93308238,93392068,93436145,93513452,93580881,94183802,94272270,94604952,94867740,94887725,95127876,95187694,95601705,95647052,95800542,95998745,96206766,96275220,96414434,96444141,96859916,96889274,97021561,97026305,97562272,97578516,97734914,97822375,98269326,98476802,98508276,98604954,98690557,98752634,98754292,98762225,99043385,99279905,99391202,99572012,99654061,99656264,99831250,99871916,...,4098171762302403348271728363684359312488849845227281735588623744498346607374837238300471984700001810310975901651098594770749632280394066691412940480458174235008601519144430383511591267083308199927438335981209530473206904918302050762556033450566052056758868909550053884010357019733620113085890539331222344371883632349673741720805451294540836921793881420924705650901696234642874279604637623146682356840712817800830087016366693524150278093042756158330936866987999393099661488122942917608415434259988222654019140641473891574089704324264733386422617333931787179113644853353392156305510570123458147335689223763861892408788973156613459479237348754708011452843645672173434142446305797638287376039397302895644613682090508333302372837086627523090729285539029287936888015040245549004339741106682349428001936447186816031078559392671765845352889455029204152930935594048543512462676257033827365777258951874797044896650259637107473300103481047854605380119088797363967735302584314337430175180386880811765294567808109435565198349858585909141363027829399738283832367787080909870519945617442318704657880631871580727546442519740079598833631304089074778563413783532743026480076999321658833530373355438693823862399251663918155123776478883528691999718786504036190496660253384002595308156741384867102536040137375533974969052131039201321685567718385755528620665896046884738750613224614544331028886255491562863795829399000602541367648258859065188005368863851628736692657752739989115010548854804192091404765619012942726383771601358860400269221393169346438514038507518446295446902485254941203334921804654516566783477600388803877680629318920832680672663169398708650016250152887617774148871483959071964825957942660484207413200030984731230538893746291645737925572659509121598284573055623442914630738538003837867425026127246079073737269891735230362023191145792492864574035331873516966705720499462185995710811429573350291734732711926188197065759643953092129674232722723954469187666112752556598416617004584842753513403801191698070235087298458900098253100601779237061703952942625902831437995755279170196920762102273002559641201357652838227984655517665894175354897258806905117053001344615337225660819905841969240891560279212291720994947539658903771613163821484226165695012133427984601872660935577295697370129359397108690857319660688149965392538816765219440846316473359763721239561327213529957935391121780147692928731793172265622680804131049141860517497307534315413117168464398113137134532853956974988328011722439444356632123118991640544377077680109546362766570950253897192659831364}